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}], "NotesFrameText",ExpressionUUID->"313c7f39-f662-422d-b45a-c1f255af2564"], + }], "NotesFrameText",ExpressionUUID->"7d758b78-a9c6-4d12-924d-f50ebc59989c"], Appearance->{Automatic, None, "Normal", Automatic}, BaseStyle->None, ButtonFunction:>(FrontEndExecute[{ @@ -401,12 +407,12 @@ Cell[TextData[Cell[BoxData[ FrontEnd`SelectedNotebook[], After, CellContents]}]& ), Evaluator->None, Method-> - "Preemptive"]],ExpressionUUID->"588c941f-50ae-476e-88ef-5884eb5847a4"]], \ + "Preemptive"]],ExpressionUUID->"dde824dc-4718-4a28-aac7-7c1092643c6f"]], \ "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, CacheGraphics->False, - CellID->99987311,ExpressionUUID->"29ce5800-f854-4d2a-9249-2dee36fcde96"], + CellID->587881154,ExpressionUUID->"0c310857-fd61-4148-ac5a-5a2d12ad0534"], Cell[TextData[{ "By convention, the quantum relative entropy ", @@ -427,7 +433,56 @@ Cell[TextData[{ "5142a369-a3e2-42fd-b921-04fbb806ab77"], " when the support of \[Rho] is not orthogonal to the null space of \[Sigma]." }], "Notes", - CellID->1343353943,ExpressionUUID->"675e8724-e54f-4264-b300-d127ad767d70"] + CellID->1343353943,ExpressionUUID->"675e8724-e54f-4264-b300-d127ad767d70"], + +Cell[TextData[{ + "The von Neumann entropy (also known as quantum entropy) of quantum state ", + Cell[BoxData["\[Rho]"], "InlineFormula", + FontFamily->"Source Sans Pro",ExpressionUUID-> + "36d63815-3fbc-4537-a289-4b191e330b38"], + " is defined by\[LineSeparator]\t", + Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"S", "(", "\[Rho]", ")"}], ":=", + RowBox[{"\[Minus]", + RowBox[{"Tr", " ", "[", + RowBox[{"\[Rho]", " ", "log", "\[VeryThinSpace]", "\[Rho]"}], "]"}]}]}], + TraditionalForm]],ExpressionUUID-> + "227b12da-b214-432e-8a9c-5a1666f7c09e"], + " ,\[LineSeparator]where the logarithm is usually to base 2." +}], "Notes", + CellID->837081221,ExpressionUUID->"e24eee0a-24a3-4188-85e5-12d4f9554312"], + +Cell[TextData[{ + "For two quantum states \[Rho] and \[Sigma], the relative von Neumann \ +entropy of \[Rho] to \[Sigma] is defined by\[LineSeparator]\t", + Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"S", "(", + RowBox[{"\[Rho]", "\[DoubleVerticalBar]", "\[Sigma]"}], ")"}], ":=", + RowBox[{ + RowBox[{ + RowBox[{"Tr", "[", + RowBox[{ + "\[Rho]", "\[VeryThinSpace]", "log", "\[VeryThinSpace]", "\[Rho]"}], + "]"}], "-", + RowBox[{"Tr", "[", + RowBox[{ + "\[Rho]", "\[VeryThinSpace]", "log", "\[VeryThinSpace]", "\[Sigma]"}], + "]"}]}], "=", + RowBox[{ + RowBox[{"-", + RowBox[{"S", "(", "\[Rho]", ")"}]}], "-", + RowBox[{"Tr", "[", + RowBox[{ + "\[Rho]", "\[VeryThinSpace]", "log", "\[VeryThinSpace]", "\[Sigma]"}], + "]"}]}]}]}], TraditionalForm]],ExpressionUUID-> + "e9e96307-e3a4-408b-98b2-2ba6d4088240"], + " ." +}], "Notes", + CellID->1110713806,ExpressionUUID->"7c0642d2-5d99-43e2-8a46-403326b6a582"] }, Dynamic[CurrentValue[ EvaluationNotebook[], {TaggingRules, "Openers", "NotesSection"}, Closed]]]], @@ -458,19 +513,19 @@ Cell[TextData[{ PlotRange -> {{-3, 4}, {-1, 1}}, ImageSize -> 20], Magnification -> 0.68 Inherited], Rational[1, 2] Pi, {-1.65, -1}]]], ImageSizeCache->{14., {5., 9.}}]],ExpressionUUID-> - 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}]], "TutorialsSection",ExpressionUUID->"92c2a46c-9cab-4e1e-a191-\ -f3a408ae5386"], + }]], "TutorialsSection",ExpressionUUID->"c30fcd09-0591-4004-91d5-\ +2319418d5508"], Cell[BoxData[GridBox[{ { @@ -1682,10 +1774,10 @@ Cell[BoxData[GridBox[{ "paclet:Q3/guide/QuantumInformationSystems"}, "RefLinkPlain", BaseStyle->{"MoreAbout"}]], "MoreAbout",ExpressionUUID-> - "443cfaf0-fda6-4ed5-aa10-b463a044f0d1"]}]} + "d68c8cef-b7b2-41b7-bd08-f51c7f218956"]}]} }]} - }]], "MoreAboutSection",ExpressionUUID->"be374880-c0d8-409a-b854-\ -0dd6e6bb0c05"], + }]], "MoreAboutSection",ExpressionUUID->"c3869b58-65b5-4b4a-8008-\ +83beb65a1531"], Cell[BoxData[GridBox[{ { @@ -1714,8 +1806,8 @@ Cell[BoxData[GridBox[{ (2019)"}]]]], "http://dx.doi.org/10.4249/scholarpedia.53131"}, "WebLink", BaseStyle->{"RelatedLinks"}]],ExpressionUUID-> - "ee31bd99-4479-4f53-891e-4d4fd9c6d313"]}]],ExpressionUUID-> - "4aeb9841-48c0-4909-a84a-fc11cb37e0f3"], + "cfcf4be5-632e-483d-b056-71cd0e3e33ac"]}]],ExpressionUUID-> + "b5e98ae9-f817-436c-b28e-f3be35cb2fc0"], ", \"Quantum entropy.\"" }], "RelatedLinks",ExpressionUUID-> "24614b9d-4bf4-4929-a46b-490210b5d478"]}, @@ -1736,8 +1828,8 @@ Cell[BoxData[GridBox[{ "https://doi.org/10.1103%2Frevmodphys.50.221"}, "WebLink", BaseStyle->{"RelatedLinks"}]],ExpressionUUID-> - "33bd66ba-ca7a-4199-adb4-b4abb1af09d9"]}]],ExpressionUUID-> - "2702bbec-ca4e-4feb-8db4-1c899ed18ffd"], + "fd5dad30-61ca-4404-9f37-5099ca3c3e72"]}]],ExpressionUUID-> + "80d04ba0-eae1-4bcd-b46e-7aaa9e419414"], ", \"General properties of entropy\"." }], "RelatedLinks",ExpressionUUID-> "daa50a72-7685-48bd-8d50-4f776786b25f"]}, @@ -1757,8 +1849,8 @@ Cell[BoxData[GridBox[{ "http://theory.caltech.edu/~preskill/ph229/"}, "WebLink", BaseStyle->{"RelatedLinks"}]],ExpressionUUID-> - "d49c831e-0fa6-4880-956e-431bf57d71df"]}]],ExpressionUUID-> - "722daa89-1461-44f7-93da-99588fe4bde4"], + "a70549f2-2e8b-4b23-8dbb-5ce603d174b5"]}]],ExpressionUUID-> + "655a1e90-dbc4-4a9c-8b11-698bcac2cbad"], ", Lecture Notes for Physics 229: Quantum Information and Computation." }], "RelatedLinks",ExpressionUUID-> "5ba18797-2ff8-41e5-a673-e13c6ae97aac"]}, @@ -1779,8 +1871,8 @@ Cell[BoxData[GridBox[{ "https://doi.org/10.1017/CBO9780511976667"}, "WebLink", BaseStyle->{"RelatedLinks"}]],ExpressionUUID-> - "86882c66-5763-48cd-a4dc-e694e9f24659"]}]],ExpressionUUID-> - "e3333c99-ed97-40f7-bc48-219f7b0afd33"], + "106b235a-fab2-401c-9ecd-0ba93d41cf09"]}]],ExpressionUUID-> + "e3570b2b-faad-4997-85d7-ef1968c6fd47"], StyleBox[ ", Quantum Computation and Quantum Information (Cambridge University \ Press).", @@ -1804,16 +1896,16 @@ Press).", "https://doi.org/10.1007/978-3-030-91214-7"}, "WebLink", BaseStyle->{"RelatedLinks"}]],ExpressionUUID-> - "27d1edc1-b037-4e8e-b054-cbfe879dbe50"]}]],ExpressionUUID-> - "529961bb-5042-40a5-b322-322582d4855a"], + "4711ff2d-8020-4651-bc58-53ad51a22e3f"]}]],ExpressionUUID-> + "21edb8e9-c5cf-4df0-9b0e-6a789c3ad876"], ", A Quantum Computation Workbook (Springer)." }], "RelatedLinks",ExpressionUUID-> "ea994d3d-cbf3-4cba-ae91-ec8124da7733"]} }]} - }]], "RelatedLinksSection",ExpressionUUID->"622fc7ee-c61d-4654-b45c-\ -963d78dba891"], + }]], "RelatedLinksSection",ExpressionUUID->"acf89300-9e0b-41ee-af87-\ +9abade0d2c83"], -Cell[" ", "FooterCell",ExpressionUUID->"84d360e9-8ca8-42bf-9c03-381bf6872360"] +Cell[" ", "FooterCell",ExpressionUUID->"0735e2e7-3e5f-42d0-ab4c-f8f1cb7d9db8"] }, Saveable->False, ScreenStyleEnvironment->"Working", @@ -1831,7 +1923,7 @@ TaggingRules->{ False, "HasOptions" -> True, "RootCaptions" -> "", "HeaderCoreAreaLink" -> {}, "Metadata" -> { - "built" -> "{2024, 1, 31, 20, 40, 15.380162}", + "built" -> "{2024, 6, 19, 8, 31, 11.480048}", "history" -> {"12", "", "", ""}, "context" -> "Q3`", "keywords" -> {"quantum information theory"}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> "Q3 Symbol", @@ -1843,12 +1935,12 @@ entropy for the mixed state described by the density operator \\[Rho]. \ \\[Rho] can also be a vector in ket expression. VonNeumannEntropy[\\[Rho], \ \\[Sigma]] returns the quantum relative entropy of the mixed state \\[Rho] \ with respect to \\[Sigma]. \\[Rho] and \\[Sigma] may be an operator (mixed \ -state) or ket (pure state) expression. VonNeumannEntropy[\\[Rho], {s1, s2, \ -...}] or VonNeumannEntropy[\\[Rho], \\[Sigma], {s1, s2, ...}] allows to \ -specify otherwise unclear systems by {s1, s2, ...}. For example, when \\[Rho] \ -and/or \\[Sigma] is a density operator acting non-trivially only on parts of \ -the total system, there is no way to figure out the ingredient systems from \ -the expression for \\[Rho] (or \\[Sigma]) alone.", "synonyms" -> {}, +state) or ket vector (pure state). VonNeumannEntropy[\\[Rho], {s1, s2, ...}] \ +or VonNeumannEntropy[\\[Rho], \\[Sigma], {s1, s2, ...}] allows to specify \ +otherwise unclear systems by {s1, s2, ...}. For example, when \\[Rho] and/or \ +\\[Sigma] is a density operator acting non-trivially only on parts of the \ +total system, there is no way to figure out the ingredient systems from the \ +expression for \\[Rho] (or \\[Sigma]) alone.", "synonyms" -> {}, "tabletags" -> {}, "title" -> "VonNeumannEntropy", "titlemodifier" -> "", "metadescription" -> "", "windowtitle" -> "VonNeumannEntropy", "type" -> "Symbol", "uri" -> "Q3/ref/VonNeumannEntropy"}}, @@ -1864,7 +1956,7 @@ StyleDefinitions->Notebook[{ StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "14.0 for Mac OS X ARM (64-bit) (December 12, 2023)", StyleDefinitions -> "Default.nb"], -ExpressionUUID->"cea4e85d-0d38-40a0-a569-dace7cb03ba6" +ExpressionUUID->"58e03d1f-c81f-4724-a155-e218f7b27be0" ] (* End of Notebook Content *) @@ -1872,225 +1964,229 @@ ExpressionUUID->"cea4e85d-0d38-40a0-a569-dace7cb03ba6" (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[16323, 435, 1390, 37, 36, 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14116] +NotebookOutlinePosition[ 635343, 14181] +CellTagsIndexPosition[ 635217, 14175] WindowTitle->WickExpectation WindowFrame->Normal*) @@ -27,11 +27,11 @@ Cell[BoxData[GridBox[{ TemplateBox[{12}, "Spacer1"], Cell["Q3 SYMBOL", "PacletNameCell", TextAlignment->Center,ExpressionUUID-> - "1462ac19-6e36-419c-8d78-a8f27d5e16d8"], + "1971f7dc-f020-411f-9dbd-75b9be74a269"], TemplateBox[{8}, "Spacer1"]}]], TextAlignment->Center,ExpressionUUID-> - "f34081fd-9151-4300-86cc-cdbad10b05d3"], + "aa616938-f86f-4e84-ac9e-6943216ee45e"], Background->RGBColor[0.490196, 0.576471, 0.690196], ItemSize->Full], ""} }, @@ -54,13 +54,13 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "49a89237-750a-452c-8246-fb7f6f171f54"] - }],ExpressionUUID->"6ef59fa3-26fd-4f10-a4b3-1165fa04ed60"], + "e2b5b441-e895-4a13-9524-b555123fdacc"] + }],ExpressionUUID->"b978e4cd-ae3f-4fbf-a359-5ce9fe8a839d"], StripOnInput->False],{ "\"WickState\"" :> Documentation`HelpLookup["paclet:Q3/ref/WickState"], - "\"WickOperate\"" :> - Documentation`HelpLookup["paclet:Q3/ref/WickOperate"], + "\"WickOperator\"" :> + Documentation`HelpLookup["paclet:Q3/ref/WickOperator"], "\"WickGreensFunction\"" :> Documentation`HelpLookup["paclet:Q3/ref/WickGreensFunction"], "\"Fermion\"" :> Documentation`HelpLookup["paclet:Q3/ref/Fermion"], @@ -70,7 +70,7 @@ Cell[BoxData[GridBox[{ MenuStyle->"SeeAlso"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "8037162e-f728-489f-a323-bc6a5093f961"], + "06bf2c5e-75fe-4cc3-ad7a-bf039c3d6ed7"], "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ \[ThickSpace]", Cell[BoxData[ @@ -89,8 +89,8 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "1d2bc4a4-8a3e-4f9b-95f1-e8649fbaa05f"] - }],ExpressionUUID->"d4a1c38c-027b-47fa-869c-224f906daeb5"], + "85a738cf-8dbf-4c7c-9cb7-5604d9880a7a"] + 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AbsoluteCurrentValue[Magnification])}]], GridBox[{{ RowBox[{ TagBox["\"Type: \"", "SummaryItemAnnotation"], @@ -2542,27 +2541,27 @@ HACo2sx4 "Rows" -> {{Automatic}}}, BaselinePosition -> {1, 1}]}, Dynamic[Typeset`open$$], ImageSize -> Automatic]}, "SummaryPanel"], DynamicModuleValues :> {}], "]"}], {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.529091319749519*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255497`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095863`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043307`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ 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"paclet:Q3/ref/WickOperator", "Q3 Package Symbol"}, "PackageLink", BaseStyle->"InlineFormula"]], "InlineFormula", @@ -14000,8 +13991,8 @@ Cell[BoxData[GridBox[{ "8304099a-2563-4d04-b329-bd2c9214b082"] }], "SeeAlso",ExpressionUUID->"1bf51282-e84f-430f-9a82-f3b69f138f76"]} }]} - }]], "SeeAlsoSection",ExpressionUUID->"a715f46b-af9f-421b-a822-\ -75daec459f87"], + }]], "SeeAlsoSection",ExpressionUUID->"7977ecbf-5e2b-47ea-a101-\ +1eeda9354451"], Cell[BoxData[GridBox[{ { @@ -14030,8 +14021,8 @@ Cell[BoxData[GridBox[{ BaseStyle->{"Tutorials"}]], "Tutorials",ExpressionUUID-> "0233c41b-43cc-4152-baa6-aead8d73bfed"]}]} }]} - }]], "TechNotesSection",ExpressionUUID->"3bbfe2fd-f656-4f5c-a91b-\ -db625996413b"], + }]], "TechNotesSection",ExpressionUUID->"88ec6033-8f32-44a9-921a-\ +94d89ad1ad54"], Cell[BoxData[GridBox[{ { @@ -14049,7 +14040,7 @@ Cell[BoxData[GridBox[{ "paclet:Q3/guide/QuantumManyBodySystems"}, "RefLinkPlain", BaseStyle->{"MoreAbout"}]], "MoreAbout",ExpressionUUID-> - 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NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 236326, 4976] -NotebookOptionsPosition[ 226295, 4777] -NotebookOutlinePosition[ 228998, 4841] -CellTagsIndexPosition[ 228874, 4835] +NotebookDataLength[ 236147, 4969] +NotebookOptionsPosition[ 226112, 4770] +NotebookOutlinePosition[ 228816, 4834] +CellTagsIndexPosition[ 228692, 4828] WindowTitle->WickGreensFunction WindowFrame->Normal*) @@ -27,11 +27,11 @@ Cell[BoxData[GridBox[{ TemplateBox[{12}, "Spacer1"], Cell["Q3 SYMBOL", "PacletNameCell", TextAlignment->Center,ExpressionUUID-> - "6062f111-6d25-4e40-bf49-56a9faa12f38"], + "49a3a494-2bf6-41e0-9b3d-c8225074817a"], TemplateBox[{8}, "Spacer1"]}]], TextAlignment->Center,ExpressionUUID-> - "399e62b9-99de-43bb-9b5b-9f94728e662c"], + "28037319-559f-42c8-9295-00adde05227c"], Background->RGBColor[0.490196, 0.576471, 0.690196], ItemSize->Full], ""} }, @@ -54,21 +54,21 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "bc5b73d0-a9af-47ef-81ba-2ff1aaad4c3b"] - }],ExpressionUUID->"4e08259c-e58e-41ae-8271-68ce6048b82c"], + "5e76ebd1-11a0-45df-9008-51b083fc5ea7"] + }],ExpressionUUID->"920d3571-b5a3-4cb8-b85c-02a149116b68"], StripOnInput->False],{ "\"WickState\"" :> Documentation`HelpLookup["paclet:Q3/ref/WickState"], "\"WickExpectation\"" :> Documentation`HelpLookup["paclet:Q3/ref/WickExpectation"], - "\"WickOperate\"" :> - Documentation`HelpLookup["paclet:Q3/ref/WickOperate"]}, + "\"WickOperator\"" :> + Documentation`HelpLookup["paclet:Q3/ref/WickOperator"]}, Appearance->None, MenuAppearance->Automatic, MenuStyle->"SeeAlso"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "07cd5cc0-77de-4496-b2d7-dd077f182155"], + "769c073e-3ea7-4718-b8e7-f14e7890983c"], "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ \[ThickSpace]", Cell[BoxData[ @@ -87,8 +87,8 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "dd72783d-b123-4c3f-af80-782573c9a69e"] - }],ExpressionUUID->"ebd9482f-fad5-451a-af9c-6a63c94f76d8"], + "640e0eaf-8304-49ce-ba18-882b814e7062"] + }],ExpressionUUID->"9f4d7d75-db39-4a5a-ac09-aeae9285d8ac"], StripOnInput->False],{ "\"Quantum Many-Body Systems\"" :> Documentation`HelpLookup["paclet:Q3/guide/QuantumManyBodySystems"], @@ -98,7 +98,7 @@ Cell[BoxData[GridBox[{ MenuStyle->"MoreAbout"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "5540ffad-0bf9-43c7-9eba-560f575837cb"], + "4ac1c0ed-0f33-4db7-b32a-8fa667ebc421"], "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ \[ThickSpace]", Cell[BoxData[ @@ -117,8 +117,8 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "af09c7d8-d71b-4b5b-87cd-4a9b1809b545"] - }],ExpressionUUID->"63e480e0-fa66-4647-ab3e-ce7a47b92f40"], + "085d7ef8-4023-4586-9b98-42e941b79414"] + }],ExpressionUUID->"a03642a6-6968-40aa-a4d5-9cdcbc0bc558"], StripOnInput->False],{ "\"Quantum Many-Body Systems with Q3\"" :> Documentation`HelpLookup[ @@ -129,7 +129,7 @@ Cell[BoxData[GridBox[{ MenuStyle->"Tutorials"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "0007e896-820b-4248-b9ef-06d084f8abef"], + "e3be40dc-f5d7-433b-8ee9-fb26dc9c560e"], "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ \[ThickSpace]", Cell[BoxData[ @@ -148,8 +148,8 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "fde5004d-a7b8-4009-9230-d65f7d7d2241"] - }],ExpressionUUID->"6430e675-a459-4ebd-9a25-fe2ff22f869a"], + "beab9de3-8e39-4b80-bb7a-ba4a62c21821"] + }],ExpressionUUID->"07d79ce9-8ba6-4e10-b44e-0c8ff6a2518a"], StripOnInput->False],{ "\"Q3/ref/WickGreensFunction\"" :> None, "\"Copy Wolfram Documentation Center URL\"" :> @@ -186,14 +186,14 @@ WickGreensFunction.html"], StandardForm]], "Input", TextClipboardType -> MenuStyle->"URLMenu"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "34774795-8983-4afe-9627-be0dbe3028a4"] + "d9b13994-179b-465d-9cd4-4a6eb6ad7969"] }], "AnchorBar", CacheGraphics->False,ExpressionUUID-> - "da0e49c5-9a9f-4c46-b4e0-e5428ca26a33"]} + "2a2fce51-1bec-44bd-ae29-0423afa2b753"]} }]], "AnchorBarGrid", - CellID->1,ExpressionUUID->"11f297b4-422c-4553-91f7-e3e7723d044c"], + CellID->1,ExpressionUUID->"b6c5b0d4-8f1a-4d49-bf9f-e81acd35190a"], -Cell["Q3`", "ContextNameCell",ExpressionUUID->"ffd36ae0-b078-4b4f-8016-757ef52ebe9c"], +Cell["Q3`", "ContextNameCell",ExpressionUUID->"ebc2092c-f4f2-48d6-b1da-467567d8429e"], Cell[CellGroupData[{ @@ -201,14 +201,14 @@ Cell[BoxData[GridBox[{ {Cell[TextData[{ Cell[ "WickGreensFunction", "ObjectName",ExpressionUUID-> - "2cea2e55-fa8d-437a-b26a-9cd5304a582e"], + "65b528c2-da7d-4f77-8afe-6110d094b47c"], Cell[BoxData[ TemplateBox[{8}, - "Spacer1"]],ExpressionUUID->"9c6bb826-2365-40ed-9b14-6700065fedd0"], + "Spacer1"]],ExpressionUUID->"062fe747-785c-4800-8e65-c792159f8d22"], Cell[BoxData[ ""], "ObjectNameTranslation",ExpressionUUID-> - "19c8fb7b-8332-45c1-8573-27fab58cb823"] - }],ExpressionUUID->"eaf8470d-bc24-47e2-9049-3709197f57e9"], Cell[BoxData[ + "da34ed70-dda5-470c-81b7-4944dfa006e2"] + }],ExpressionUUID->"3767769d-4cfb-43ec-b73a-226c1629c061"], Cell[BoxData[ TooltipBox[ StyleBox[ TagBox[ @@ -233,9 +233,9 @@ Cell[BoxData[GridBox[{ "New in 14", TooltipDelay->0.3]], Magnification->1,ExpressionUUID-> - "811f7aa2-fed9-4ca5-ae0f-27a1a5acf0d5"]} + "61906453-dd7a-4a8e-a574-f6b353c3494d"]} }]], "ObjectNameGrid", - CacheGraphics->False,ExpressionUUID->"1eeb50a0-e8c8-46b3-9526-4dddee3ea378"], + CacheGraphics->False,ExpressionUUID->"31ba323a-f914-4f2a-aef7-a8f956100117"], Cell[BoxData[GridBox[{ {"", Cell[TextData[{ @@ -278,7 +278,7 @@ Cell[BoxData[GridBox[{ FontFamily->"Source Sans Pro",ExpressionUUID-> "543f2036-98a0-491c-98a4-f70b128f9ba9"], "." - }],ExpressionUUID->"f8886cc2-a318-4099-b2c4-1afd84bdd860"]}, + }],ExpressionUUID->"c1f856a9-6bae-44e0-8df7-bf837f6976bf"]}, {"", Cell[TextData[{ Cell[BoxData[ RowBox[{ @@ -345,7 +345,7 @@ fermion modes ", FontFamily->"Source Sans Pro",ExpressionUUID-> "47624cfa-b243-432a-92f5-3fc565f3291c"], ").." - }],ExpressionUUID->"e0309e0c-9a1a-4908-aec3-81c8a6ae1102"]} + }],ExpressionUUID->"b27f1650-a8ae-4c1e-98cd-c7199a90cf19"]} }]], "Usage", CellID->1552081390,ExpressionUUID->"5ecd6367-9942-4d6e-aa32-c42fbd123e54"] }, Open ]], @@ -378,12 +378,12 @@ Cell[TextData[Cell[BoxData[ PlotRange -> {{-3, 4}, {-1, 1}}, ImageSize -> 20], Magnification -> 0.68 Inherited], Rational[1, 2] Pi, {-1.65, -1}]]], ImageSizeCache->{14., {0.45000000000000107`, 13.549999999999999`}}]], - ExpressionUUID->"e4a312b1-0852-4678-96b5-0e94aee890d0"], + ExpressionUUID->"690b24af-4d54-4c27-bd9b-3ac7d50214c6"], Cell[BoxData[ TemplateBox[{1}, - "Spacer1"]],ExpressionUUID->"0b6f07fe-7c53-40aa-adb8-a078883594fd"], + "Spacer1"]],ExpressionUUID->"87e7e91b-7c27-427d-85d0-66a61f77836c"], "Details and Options" - }], "NotesFrameText",ExpressionUUID->"e5c6d9ec-0fb0-4bbb-8d09-c063b4eeae85"], + }], "NotesFrameText",ExpressionUUID->"adca07fa-db4a-4f9f-b61c-2e04c56db738"], Appearance->{Automatic, None, "Normal", Automatic}, BaseStyle->None, ButtonFunction:>(FrontEndExecute[{ @@ -394,12 +394,12 @@ Cell[TextData[Cell[BoxData[ FrontEnd`SelectedNotebook[], After, CellContents]}]& ), Evaluator->None, Method-> - "Preemptive"]],ExpressionUUID->"6f96052a-ea0d-4cfa-b9ec-70400fbc4840"]], \ + "Preemptive"]],ExpressionUUID->"0464b656-099e-4aeb-bfea-df2a82eba8fb"]], \ "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, CacheGraphics->False, - CellID->819338336,ExpressionUUID->"8fd59451-4e3a-491a-88f2-f0b558698f80"], + CellID->2086485918,ExpressionUUID->"d6773662-28dc-48ff-ae5a-dcaaabdf1ffc"], Cell[TextData[{ "The (normal) Green\[CloseCurlyQuote]s function of fermion modes ", @@ -554,19 +554,19 @@ Cell[TextData[{ PlotRange -> {{-3, 4}, {-1, 1}}, ImageSize -> 20], Magnification -> 0.68 Inherited], Rational[1, 2] Pi, {-1.65, -1}]]], ImageSizeCache->{14., {5., 9.}}]],ExpressionUUID-> - "70ce0a03-25d7-49dc-96a2-c09f9f327c1e"], + "4f537cfc-2ab8-4aec-9901-1ffce290ad35"], Cell[BoxData[ TemplateBox[{1}, - "Spacer1"]],ExpressionUUID->"f7dadeb2-d469-4578-acbd-abd236f4f35e"], + "Spacer1"]],ExpressionUUID->"f664634e-ad74-429d-b7b6-37ccb520e221"], "Examples", "\[NonBreakingSpace]\[NonBreakingSpace]", Cell["(1)", "ExampleCount",ExpressionUUID-> - "bd9a0139-8748-4e4e-a153-4a80977804b2"] + "2d29928d-7f59-4ae0-b4a5-e8b56af9fa8d"] }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CacheGraphics->False, CellTags->"PrimaryExamplesSection", - CellID->954268588,ExpressionUUID->"03ea3f15-4feb-4088-b2a0-b3837b425b15"], + CellID->1308351963,ExpressionUUID->"938661b8-163e-4f0e-9086-08601fa69800"], Cell[BoxData[ RowBox[{"Needs", "[", "\"\\"", "]"}]], "Input", "ExampleInitialization", @@ -600,18 +600,18 @@ Cell[TextData[{ PlotRange -> {{-3, 4}, {-1, 1}}, ImageSize -> 20], Magnification -> 0.68 Inherited], Rational[1, 2] Pi, {-1.65, -1}]]], ImageSizeCache->{14., {5., 9.}}]],ExpressionUUID-> - "f1b9eec0-eef6-4897-9cb5-a7403b73711e"], + "a153c3a2-5e4b-4645-8280-c4ffe9856f23"], Cell[BoxData[ TemplateBox[{1}, - "Spacer1"]],ExpressionUUID->"2e88f033-85b5-4fe0-a62a-93cf83eda49f"], + "Spacer1"]],ExpressionUUID->"e67e6986-af38-4ebb-b019-49025d8f5e47"], "Basic Examples", "\[NonBreakingSpace]\[NonBreakingSpace]", Cell["(1)", "ExampleCount",ExpressionUUID-> - "3143fd97-cdcb-492d-b5e8-9f593ed18d14"] + "dbf74c15-88cb-43ff-b4c5-d9ccbe0a3cb3"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, CacheGraphics->False, - CellID->984282720,ExpressionUUID->"d5658215-c19c-4dc8-aa48-a82101191770"], + CellID->1386380508,ExpressionUUID->"8e8f8953-e952-402a-904a-e66b84501ec5"], Cell[TextData[{ "Consider a Kitaev chain consisting of ", @@ -876,7 +876,7 @@ PRbgHgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+CP/B2e15v4= PlotRange->{{0, 439.}, {0, 36.}}]], "Output", CellTags->"RasterizedOutput", CellLabel->"Out[3]=", - CellID->773142199,ExpressionUUID->"e8868353-6e3f-4d4b-9d7e-1ed29979485e"] + CellID->699628006,ExpressionUUID->"4a32510f-9de5-4f1e-96ca-281338a6d4c7"] }, Open ]], Cell["\<\ @@ -2531,8 +2531,8 @@ HACo2sx4 Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, - 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417908`*^-8, + 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -2542,9 +2542,8 @@ HACo2sx4 Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { + Complex[-1.1079404292422816`*^-8, 3.319862635394833*^-7], - Complex[-1.1079404292422813`*^-8, - 3.3198626353948343`*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, @@ -2561,13 +2560,13 @@ HACo2sx4 PaneBox[ ButtonBox[ DynamicBox[ - FEPrivate`FrontEndResource["FEBitmaps", - "SummaryBoxOpener"]], ButtonFunction :> (Typeset`open$$ = - True), Appearance -> None, BaseStyle -> {}, Evaluator -> - Automatic, Method -> "Preemptive"], Alignment -> { - Center, Center}, ImageSize -> Dynamic[{Automatic, - 3.5 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[ - Magnification])}]], + FEPrivate`FrontEndResource[ + "FEBitmaps", "SummaryBoxOpener"]], ButtonFunction :> ( + Typeset`open$$ = True), Appearance -> None, + BaseStyle -> {}, Evaluator -> Automatic, Method -> + "Preemptive"], Alignment -> {Center, Center}, ImageSize -> + Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification])}]], GridBox[{{ RowBox[{ TagBox["\"Type: \"", "SummaryItemAnnotation"], @@ -2690,27 +2689,27 @@ HACo2sx4 "Rows" -> {{Automatic}}}, BaselinePosition -> {1, 1}]}, Dynamic[Typeset`open$$], ImageSize -> Automatic]}, "SummaryPanel"], DynamicModuleValues :> {}], "]"}], {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.529091319749519*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255497`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095863`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043307`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.107940429445462*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { Complex[-9.943302374432365*^-21, \ --3.3214464132085747`*^-7], +-3.3214464132085725`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], @@ -3373,11 +3372,9 @@ HACo2sx4 Complex[7.894016335854154*^-6, 0.008602132075960674], Complex[3.469446951953614*^-18, -0.2780792901080426], - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], + Complex[-7.89401633587497*^-6, -1.5178830414797066`*^-18], Complex[0.0013060825544481298`, 0.2780792901080425]}, { - - Complex[-3.2526065174565133`*^-19, \ --0.00007843130586222762], + Complex[-3.252606517456514*^-19, -0.00007843130586222762], Complex[-7.894016335826398*^-6, 0.00860213207596067], Complex[0.0013060825544481298`, -0.2780792901080425], Complex[-0.08602810901114219, 1.734723475976807*^-18]}}, @@ -3410,8 +3407,8 @@ HACo2sx4 Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, - 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417908`*^-8, + 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -3421,33 +3418,32 @@ HACo2sx4 Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { + Complex[-1.1079404292422816`*^-8, 3.319862635394833*^-7], - Complex[-1.1079404292422813`*^-8, - 3.3198626353948343`*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.529091319749519*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255497`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095863`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043307`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.107940429445462*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { Complex[-9.943302374432365*^-21, \ --3.3214464132085747`*^-7], +-3.3214464132085725`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], @@ -3524,11 +3520,9 @@ HACo2sx4 Complex[7.894016335854154*^-6, 0.008602132075960674], Complex[3.469446951953614*^-18, -0.2780792901080426], - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], + Complex[-7.89401633587497*^-6, -1.5178830414797066`*^-18], Complex[0.0013060825544481298`, 0.2780792901080425]}, { - - Complex[-3.2526065174565133`*^-19, \ --0.00007843130586222762], + Complex[-3.252606517456514*^-19, -0.00007843130586222762], Complex[-7.894016335826398*^-6, 0.00860213207596067], Complex[0.0013060825544481298`, -0.2780792901080425], Complex[-0.08602810901114219, 1.734723475976807*^-18]}}}}, @@ -3828,7 +3822,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[0.9751371712736823, -0.09850607189743646], {1, 4} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], \ {1, 5} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 6} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], { + Complex[1.6727401305043307`*^-18, 0.09916907966616016], { 1, 7} -> Complex[ 0.0002620773276979446, 0.002603237866672337], {1, 8} -> Complex[7.0302419351298*^-7, -0.002613753063531294], {1, @@ -3837,19 +3831,18 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[7.0302419351298*^-7, -0.002613753063531294], {1, 11} -> Complex[-0.009916907974532265, \ -0.09883807384038253], {1, 12} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], { + Complex[1.6727401305043307`*^-18, 0.09916907966616016], { 1, 13} -> Complex[ 0.9751371712736823, -0.09850607189743646], {1, 14} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], \ {1, 16} -> 1, {2, 3} -> Complex[ 0.000016594573282932862`, 0.0003313378120411798], {2, 4} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], { - 2, 5} -> - Complex[-0.009933502547815196, -0.09883740970947764], {2, - 6} -> Complex[-0.000016605652687225828`, \ --0.09916907966616018], {2, 7} -> - Complex[0.9411238678566561, -0.19341019859437134`], {2, - 8} -> Complex[0.03920689940953653, 0.], {2, 9} -> + Complex[1.107940429445462*^-8, 0.0003316699566825008], {2, + 5} -> Complex[-0.009933502547815196, \ +-0.09883740970947764], {2, 6} -> + Complex[-0.000016605652687225828`, -0.09916907966616018], \ +{2, 7} -> Complex[0.9411238678566561, -0.19341019859437134`], {2, 8} -> + Complex[0.03920689940953653, 0.], {2, 9} -> Complex[0.9411238678566561, -0.19341019859437134`], {2, 10} -> Complex[0.03920689940953653, 0.], {2, 11} -> Complex[-0.009933502547815196, -0.09883740970947764], {2, @@ -3857,8 +3850,8 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp -0.09916907966616018], {2, 13} -> Complex[ 0.000016594573282932862`, 0.0003313378120411798], {2, 14} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], { - 2, 15} -> 1, {3, 4} -> + Complex[1.107940429445462*^-8, 0.0003316699566825008], {2, + 15} -> 1, {3, 4} -> Complex[0.01966912300437454, 0.], {3, 5} -> Complex[0.00976883383345901, 0.09670511030136163], {3, 6} -> Complex[-0.00006578280908219912, -7.28006620191595*^-19], \ @@ -3872,10 +3865,10 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.00006578280908219912, -7.28006620191595*^-19], \ {3, 13} -> Complex[6.938893903907228*^-18, -4.336808689942018*^-19], {3, 14} -> Complex[0.01966912300437454, 0.], {3, 15} -> + Complex[1.107940429445462*^-8, -0.0003316699566825008], { + 3, 16} -> Complex[-1.107940429399415*^-8, + 2.241454781417565*^-19], {4, 5} -> Complex[ - 1.1079404294454617`*^-8, -0.0003316699566825008], {3, 16} -> - Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], { - 4, 5} -> Complex[ 0.00006578280908219793, -4.254244153408405*^-17], {4, 6} -> Complex[-0.009768833833459008, 0.09670511030136167], {4, 7} -> Complex[ @@ -3899,7 +3892,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 0.01942284716938378, 0.09330760721542969], {5, 10} -> Complex[-0.0002598580324258793, 0.003888044555498485], {5, 11} -> - Complex[-1.5523466945211156`*^-18, \ + Complex[-1.552346694521116*^-18, \ -1.2661074609920407`*^-19], {5, 12} -> Complex[0.019669123004374556`, 0.], {5, 13} -> Complex[-0.009768833833459008, -0.09670511030136167], {5, @@ -3907,7 +3900,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 7.28006620191595*^-19], {5, 15} -> Complex[-0.000016605652687225828`, 0.09916907966616018], { 5, 16} -> Complex[ - 1.6727401305043303`*^-18, -0.09916907966616016], {6, 7} -> + 1.6727401305043307`*^-18, -0.09916907966616016], {6, 7} -> Complex[-0.009673644515389308, -0.09494936515397917], {6, 8} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 9} -> @@ -3915,7 +3908,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 10} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 11} -> Complex[0.9803308769956256, 0.], {6, 12} -> - Complex[-1.5523466945211156`*^-18, + Complex[-1.552346694521116*^-18, 1.2661074609920407`*^-19], {6, 13} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], { 6, 14} -> Complex[ @@ -3925,7 +3918,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 0.09883807384038253], {7, 8} -> Complex[0.03895158675127773, 0.], {7, 9} -> Complex[-4.787980228365168*^-18, \ --2.6488597589047426`*^-18], {7, 10} -> +-2.648859758904743*^-18], {7, 10} -> Complex[0.03895158675127773, 0.], {7, 11} -> Complex[-0.019439452822070994`, -0.1924766868815898], {7, 12} -> Complex[-0.0002598580324258793, \ @@ -3937,7 +3930,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[7.0302419351298*^-7, 0.002613753063531294], {8, 9} -> Complex[0.9610484132487226, 0.], {8, 10} -> Complex[-4.787980228365168*^-18, - 2.6488597589047426`*^-18], {8, 11} -> + 2.648859758904743*^-18], {8, 11} -> Complex[-0.009673644515389308, 0.09494936515397917], {8, 12} -> Complex[ 0.01942284716938378, -0.09330760721542969], {8, 13} -> @@ -3971,7 +3964,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 7.28006620191595*^-19], {11, 15} -> Complex[-0.000016605652687225828`, 0.09916907966616018], { 11, 16} -> - Complex[1.6727401305043303`*^-18, -0.09916907966616016], { + Complex[1.6727401305043307`*^-18, -0.09916907966616016], { 12, 13} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], { 12, 14} -> @@ -3980,10 +3973,10 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 0.09883740970947764], {12, 16} -> Complex[-0.009916907974532265, 0.09883807384038253], {13, 14} -> Complex[0.01966912300437454, 0.], {13, 15} -> - Complex[ - 1.1079404294454617`*^-8, -0.0003316699566825008], {13, - 16} -> Complex[-1.107940429399415*^-8, - 2.241454781417565*^-19], {14, 15} -> + Complex[1.107940429445462*^-8, -0.0003316699566825008], { + 13, 16} -> + Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], { + 14, 15} -> Complex[ 0.000016594573282932862`, -0.0003313378120411798], {14, 16} -> Complex[0.9751371712736823, 0.09850607189743646]}, @@ -4030,7 +4023,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[0.9850706849009015, 0.09916907966616015], Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417908`*^-8, 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -4039,23 +4032,23 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { - Complex[-1.1079404292422813`*^-8, 3.3198626353948343`*^-7], + Complex[-1.1079404292422816`*^-8, 3.319862635394833*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.529091319749519*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[1.1079404289255497`*^-8, -0.0003316699566825005], + Complex[8.92745146730816*^-21, 3.3214464132095863`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043307`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.107940429445462*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { - Complex[-9.943302374432365*^-21, -3.3214464132085747`*^-7], + Complex[-9.943302374432365*^-21, -3.3214464132085725`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], Complex[-0.00995010820050242, 2.083853062282483*^-19]}}}, {{{ @@ -4117,9 +4110,9 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-7.894016335826398*^-6, -0.008602132075960672]}, { Complex[7.894016335854154*^-6, 0.008602132075960674], Complex[3.469446951953614*^-18, -0.2780792901080426], - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], + Complex[-7.89401633587497*^-6, -1.5178830414797066`*^-18], Complex[0.0013060825544481298`, 0.2780792901080425]}, { - Complex[-3.2526065174565133`*^-19, -0.00007843130586222762], + Complex[-3.252606517456514*^-19, -0.00007843130586222762], Complex[-7.894016335826398*^-6, 0.00860213207596067], Complex[0.0013060825544481298`, -0.2780792901080425], Complex[-0.08602810901114219, 1.734723475976807*^-18]}}}}, @@ -4129,18 +4122,18 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[0.9751371712736823, -0.09850607189743646], {1, 4} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], {1, 5} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 6} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], {1, 7} -> + Complex[1.6727401305043307`*^-18, 0.09916907966616016], {1, 7} -> Complex[0.0002620773276979446, 0.002603237866672337], {1, 8} -> Complex[7.0302419351298*^-7, -0.002613753063531294], {1, 9} -> Complex[0.0002620773276979446, 0.002603237866672337], {1, 10} -> Complex[7.0302419351298*^-7, -0.002613753063531294], {1, 11} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 12} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], {1, 13} -> + Complex[1.6727401305043307`*^-18, 0.09916907966616016], {1, 13} -> Complex[0.9751371712736823, -0.09850607189743646], {1, 14} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], {1, 16} -> 1, {2, 3} -> Complex[0.000016594573282932862`, 0.0003313378120411798], {2, 4} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], {2, 5} -> + Complex[1.107940429445462*^-8, 0.0003316699566825008], {2, 5} -> Complex[-0.009933502547815196, -0.09883740970947764], {2, 6} -> Complex[-0.000016605652687225828`, -0.09916907966616018], {2, 7} -> Complex[0.9411238678566561, -0.19341019859437134`], {2, 8} -> @@ -4150,7 +4143,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.009933502547815196, -0.09883740970947764], {2, 12} -> Complex[-0.000016605652687225828`, -0.09916907966616018], {2, 13} -> Complex[0.000016594573282932862`, 0.0003313378120411798], {2, 14} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], {2, 15} -> + Complex[1.107940429445462*^-8, 0.0003316699566825008], {2, 15} -> 1, {3, 4} -> Complex[0.01966912300437454, 0.], {3, 5} -> Complex[0.00976883383345901, 0.09670511030136163], {3, 6} -> Complex[-0.00006578280908219912, -7.28006620191595*^-19], {3, 7} -> @@ -4162,7 +4155,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.00006578280908219912, -7.28006620191595*^-19], {3, 13} -> Complex[6.938893903907228*^-18, -4.336808689942018*^-19], {3, 14} -> Complex[0.01966912300437454, 0.], {3, 15} -> - Complex[1.1079404294454617`*^-8, -0.0003316699566825008], {3, 16} -> + Complex[1.107940429445462*^-8, -0.0003316699566825008], {3, 16} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], {4, 5} -> Complex[0.00006578280908219793, -4.254244153408405*^-17], {4, 6} -> Complex[-0.009768833833459008, 0.09670511030136167], {4, 7} -> @@ -4181,24 +4174,24 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.0002598580324258793, 0.003888044555498485], {5, 9} -> Complex[0.01942284716938378, 0.09330760721542969], {5, 10} -> Complex[-0.0002598580324258793, 0.003888044555498485], {5, 11} -> - Complex[-1.5523466945211156`*^-18, -1.2661074609920407`*^-19], {5, 12} -> + Complex[-1.552346694521116*^-18, -1.2661074609920407`*^-19], {5, 12} -> Complex[0.019669123004374556`, 0.], {5, 13} -> Complex[-0.009768833833459008, -0.09670511030136167], {5, 14} -> Complex[-0.00006578280908219912, 7.28006620191595*^-19], {5, 15} -> Complex[-0.000016605652687225828`, 0.09916907966616018], {5, 16} -> - Complex[1.6727401305043303`*^-18, -0.09916907966616016], {6, 7} -> + Complex[1.6727401305043307`*^-18, -0.09916907966616016], {6, 7} -> Complex[-0.009673644515389308, -0.09494936515397917], {6, 8} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 9} -> 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"RelatedLinksSection",ExpressionUUID->"5919280f-5f1a-4fda-b83e-021df838dfaf"], +Cell[226030, 4768, 78, 0, 70, "FooterCell",ExpressionUUID->"67f3ca1d-967b-4ce4-b16f-43b6e4dbfb70"] } ] *) diff --git a/Q3/Documentation/English/ReferencePages/Symbols/WickHistory.nb b/Q3/Documentation/English/ReferencePages/Symbols/WickHistory.nb index c3ee429d9..c12c3ad90 100644 --- a/Q3/Documentation/English/ReferencePages/Symbols/WickHistory.nb +++ b/Q3/Documentation/English/ReferencePages/Symbols/WickHistory.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 680270, 12364] -NotebookOptionsPosition[ 672870, 12212] -NotebookOutlinePosition[ 675081, 12267] -CellTagsIndexPosition[ 674993, 12262] +NotebookDataLength[ 3314121, 59385] +NotebookOptionsPosition[ 3305956, 59223] +NotebookOutlinePosition[ 3308317, 59280] +CellTagsIndexPosition[ 3308228, 59275] WindowTitle->WickHistory WindowFrame->Normal*) @@ -27,11 +27,11 @@ Cell[BoxData[GridBox[{ TemplateBox[{12}, "Spacer1"], Cell["Q3 SYMBOL", "PacletNameCell", TextAlignment->Center,ExpressionUUID-> - "7a4771ec-262d-472a-b79f-2d7a062d1e99"], + "1660fdc3-a344-4893-9893-230c5e4546b1"], TemplateBox[{8}, "Spacer1"]}]], TextAlignment->Center,ExpressionUUID-> - "822f39c7-eb85-42b8-9d6b-5b31a0029951"], + "736f8471-8635-4a2b-8b26-89469912446b"], Background->RGBColor[0.490196, 0.576471, 0.690196], ItemSize->Full], ""} }, @@ -54,23 +54,27 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "743c6a85-7207-4f15-a911-2be526d6835c"] - }],ExpressionUUID->"919d3285-3b1e-411f-a94c-987961a30851"], + "31964e80-90bf-41f7-af60-1b341006ec2a"] + }],ExpressionUUID->"ac725ecf-b766-4c61-b177-6042a5a1d394"], StripOnInput->False],{ "\"WickState\"" :> Documentation`HelpLookup["paclet:Q3/ref/WickState"], - "\"WickOperate\"" :> - Documentation`HelpLookup["paclet:Q3/ref/WickOperate"], + "\"WickOperator\"" :> + Documentation`HelpLookup["paclet:Q3/ref/WickOperator"], "\"WickUnitary\"" :> Documentation`HelpLookup["paclet:Q3/ref/WickUnitary"], "\"Measurement\"" :> - Documentation`HelpLookup["paclet:Q3/ref/Measurement"]}, + Documentation`HelpLookup["paclet:Q3/ref/Measurement"], + "\"WickRandomCircuit\"" :> + Documentation`HelpLookup["paclet:Q3/ref/WickRandomCircuit"], + "\"WickCircuit\"" :> + Documentation`HelpLookup["paclet:Q3/ref/WickCircuit"]}, Appearance->None, MenuAppearance->Automatic, MenuStyle->"SeeAlso"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "b3570842-e76c-450f-b4a8-348db28f1388"], + "06e141bc-e190-4f3f-8ab3-e47ba18337bb"], "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ \[ThickSpace]", Cell[BoxData[ @@ -89,8 +93,8 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "920a0a3d-3136-4fc3-b142-c39611413352"] - }],ExpressionUUID->"0a2b2643-e35c-4364-b7c9-ed0fc663d65a"], + "f38620e8-69d9-46e1-8627-08c7a8506b2d"] + }],ExpressionUUID->"807c1102-2422-458a-8361-ee978af3a834"], StripOnInput->False],{ "\"Quantum Many-Body Systems\"" :> Documentation`HelpLookup["paclet:Q3/guide/QuantumManyBodySystems"], @@ -100,7 +104,7 @@ Cell[BoxData[GridBox[{ MenuStyle->"MoreAbout"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "49f336db-7b60-42b5-87af-54013ca8f12e"], + "a69614d6-8ad9-4cbb-8e49-9aa2061fa68c"], "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ \[ThickSpace]", Cell[BoxData[ @@ -119,8 +123,8 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "64b174e1-da11-4425-a085-4960f53f58f5"] - }],ExpressionUUID->"f21b786f-0860-41e5-83b8-36df9a0f8e27"], + "269dd07a-1c04-4962-875c-8c40fa55d24a"] + }],ExpressionUUID->"576057c5-9376-4dbc-aae8-bcf1d66115fb"], StripOnInput->False],{ "\"Quantum Many-Body Systems with Q3\"" :> Documentation`HelpLookup[ @@ -131,7 +135,7 @@ Cell[BoxData[GridBox[{ MenuStyle->"Tutorials"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "78a96ca2-de73-4ceb-aa15-fd4d2594656a"], + "85a641ed-b519-4212-8a1b-206572b32a41"], "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ \[ThickSpace]", Cell[BoxData[ @@ -150,8 +154,8 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "28c0139c-ba53-442e-ad99-fa8547b47607"] - }],ExpressionUUID->"577fe94b-94c7-438e-8427-6946a265d015"], + "e05a9f2f-31b1-4489-a505-0a1283098e9b"] + }],ExpressionUUID->"e8fd4a6d-02b3-4dad-baf5-ce55a1428a40"], StripOnInput->False],{ "\"Q3/ref/WickHistory\"" :> None, "\"Copy Wolfram Documentation Center URL\"" :> @@ -188,14 +192,14 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> MenuStyle->"URLMenu"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "42dd17e8-1f8e-44d6-afc2-b430d8c5bde5"] + "df9cc4d0-1a8e-4317-b6a4-4418bce8954b"] }], "AnchorBar", CacheGraphics->False,ExpressionUUID-> - "2ff730d3-1f4c-44c8-91c5-574ee720b51d"]} + "3af6618c-33ca-43aa-b63d-8b93ebd971da"]} }]], "AnchorBarGrid", - CellID->1,ExpressionUUID->"aeac0db6-1e40-4434-9442-b2711fb32809"], + CellID->1,ExpressionUUID->"0fd21414-3f2f-4a47-aaa9-a12d51a838f3"], -Cell["Q3`", "ContextNameCell",ExpressionUUID->"8801033e-e5e6-4717-b00a-66b6b312edef"], +Cell["Q3`", "ContextNameCell",ExpressionUUID->"610d0f7a-edeb-4aa4-8b67-2b982bee9db6"], Cell[CellGroupData[{ @@ -203,14 +207,14 @@ Cell[BoxData[GridBox[{ {Cell[TextData[{ Cell[ "WickHistory", "ObjectName",ExpressionUUID-> - "abe95229-bcd6-4f90-9897-7fbcb4e7e277"], + "adfd5275-4e30-46a3-a545-c24b456840cd"], Cell[BoxData[ TemplateBox[{8}, - "Spacer1"]],ExpressionUUID->"e690c96e-6613-4917-a408-785edae0dd56"], + "Spacer1"]],ExpressionUUID->"50ceb250-e043-45dd-9ebe-4b86099b3484"], 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"\[ImaginaryI]"}]}], + ContentPadding -> False, FrameMargins -> 0, StripOnInput -> + True, BaselinePosition -> Baseline, + ImageSize -> {{1, 300}, Automatic}], LineBreakWithin -> + False]}]}, { + RowBox[{ + RowBox[{"{", RowBox[{"1", ",", "4"}], "}"}], "\[Rule]", StyleBox[ PaneBox[ - "1", ContentPadding -> False, FrameMargins -> 0, - StripOnInput -> True, BaselinePosition -> Baseline, + RowBox[{ + RowBox[{"-", "0.04247672407517362`"}], "+", + RowBox[{"0.1718935005705546`", " ", "\[ImaginaryI]"}]}], + ContentPadding -> False, FrameMargins -> 0, StripOnInput -> + True, BaselinePosition -> Baseline, ImageSize -> {{1, 300}, Automatic}], LineBreakWithin -> False]}]}, { RowBox[{ RowBox[{"{", - RowBox[{"2", ",", "3"}], "}"}], "\[Rule]", + RowBox[{"1", ",", "5"}], "}"}], "\[Rule]", StyleBox[ PaneBox[ - "1", ContentPadding -> False, FrameMargins -> 0, - StripOnInput -> True, BaselinePosition -> Baseline, + RowBox[{ + RowBox[{"-", "0.039769349206147636`"}], "-", + RowBox[{"0.26003894784963594`", " ", "\[ImaginaryI]"}]}], + ContentPadding -> False, FrameMargins -> 0, StripOnInput -> + True, BaselinePosition -> Baseline, ImageSize -> {{1, 300}, Automatic}], LineBreakWithin -> - False]}]}}, GridBoxAlignment -> {"Columns" -> {{Left}}}, + False]}]}, { + RowBox[{ + RowBox[{"{", + RowBox[{"1", ",", "6"}], "}"}], "\[Rule]", + StyleBox[ + PaneBox[ + RowBox[{ + RowBox[{"0.13544428648031903`", "\[VeryThinSpace]"}], "+", + RowBox[{"0.19691843469914722`", " ", "\[ImaginaryI]"}]}], + ContentPadding -> False, FrameMargins -> 0, StripOnInput -> + True, BaselinePosition -> Baseline, + ImageSize -> {{1, 300}, Automatic}], LineBreakWithin -> + False]}]}, { + ItemBox[ + "\"\[VerticalEllipsis]\"", Alignment -> Center, + StripOnInput -> False]}}, + GridBoxAlignment -> {"Columns" -> {{Left}}}, DefaultBaseStyle -> "Column", GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], @@ -3179,150 +51827,637 @@ MHsB6BbE9A== "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> { "Columns" -> {{2}}, "Rows" -> {{Automatic}}}, - BaseStyle -> { - ShowStringCharacters -> False, NumberMarks -> False, - PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, - GridBoxAlignment -> { + BaseStyle -> {ShowStringCharacters -> False, NumberMarks -> + False, PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, + GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, BaselinePosition -> {1, 1}]}, Dynamic[Typeset`open$$], ImageSize -> Automatic]}, "SummaryPanel"], DynamicModuleValues :> {}], "]"}], - SymmetrizedArray[ - - StructuredArray`StructuredData[{4, - 4}, {{{1, 4} -> 1, {2, 3} -> 1}, + SymmetrizedArray[ + + StructuredArray`StructuredData[{20, + 20}, {{{1, 3} -> + Complex[-0.41190457842673445`, -0.10096704656405156`], {1, + 4} -> Complex[-0.04247672407517362, + 0.1718935005705546], {1, 5} -> + Complex[-0.039769349206147636`, -0.26003894784963594`], { 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1}], True -> GridBox[{{ + PaneBox[ + ButtonBox[ + DynamicBox[ + FEPrivate`FrontEndResource["FEBitmaps", "SummaryBoxCloser"]], + ButtonFunction :> (Typeset`open$$ = False), Appearance -> + None, BaseStyle -> {}, Evaluator -> Automatic, Method -> + "Preemptive"], Alignment -> {Center, Center}, ImageSize -> + Dynamic[{ + Automatic, + 3.5 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[ + Magnification])}]], + GridBox[{{ + RowBox[{ + TagBox["\"Bare modes: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ + RowBox[{"{", RowBox[{ InterpretationBox[ SubscriptBox["c", @@ -3394,18 +52531,19 @@ Cell[BoxData[ SubscriptBox["c", TemplateBox[{",", "\",\"", "4"}, "RowWithSeparators"]], $CellContext`c[4]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox["\"Initial occupation: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ - RowBox[{"{", + RowBox[{ + TagBox[ + "\"Initial occupation: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ + RowBox[{"{", RowBox[{"1", ",", "0", ",", "1", ",", "0"}], "}"}], - "SummaryItem"]}]}, { - RowBox[{ - TagBox["\"Encoded modes: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ - RowBox[{"{", + "SummaryItem"]}]}, { + RowBox[{ + TagBox["\"Encoded modes: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ + RowBox[{"{", RowBox[{ InterpretationBox[ SubscriptBox["c", @@ -3422,33 +52560,15 @@ Cell[BoxData[ InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "2", "2", "0"}, - "RowWithSeparators"]], - $CellContext`c[2, 2, 0]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "2", "2", "1"}, - "RowWithSeparators"]], - $CellContext`c[2, 2, 1]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "2", "1", "1"}, - "RowWithSeparators"]], - $CellContext`c[2, 1, 1]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "2", "1", "0"}, + TemplateBox[{",", "\",\"", "2", "4", "0"}, "RowWithSeparators"]], - $CellContext`c[2, 1, 0]], ",", + $CellContext`c[2, 4, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "4", "1"}, + TemplateBox[{",", "\",\"", "2", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 4, 1]], ",", + $CellContext`c[2, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", @@ -3458,15 +52578,15 @@ Cell[BoxData[ InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "2", "1"}, + TemplateBox[{",", "\",\"", "3", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 2, 1]], ",", + $CellContext`c[3, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "2", "0"}, + TemplateBox[{",", "\",\"", "3", "1", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 2, 0]], ",", + $CellContext`c[3, 1, 1]], ",", InterpretationBox[ SubscriptBox["c", @@ -3476,12 +52596,6 @@ Cell[BoxData[ InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "1", "1"}, - "RowWithSeparators"]], - $CellContext`c[3, 1, 1]], ",", - InterpretationBox[ - SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "4", "0"}, "RowWithSeparators"]], $CellContext`c[4, 4, 0]], ",", @@ -3494,102 +52608,6 @@ Cell[BoxData[ InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "2", "1"}, - "RowWithSeparators"]], - $CellContext`c[4, 2, 1]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "4", "2", "0"}, - "RowWithSeparators"]], - $CellContext`c[4, 2, 0]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "4", "1", "0"}, - "RowWithSeparators"]], - $CellContext`c[4, 1, 0]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "4", "1", "1"}, - "RowWithSeparators"]], - $CellContext`c[4, 1, 1]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "5", "4", "1"}, - "RowWithSeparators"]], - $CellContext`c[5, 4, 1]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", 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TemplateBox[{",", "\",\"", "2", "1", "0"}, + TemplateBox[{",", "\",\"", "3", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[2, 1, 0]], ",", + $CellContext`c[3, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "2", "2", "0"}, + TemplateBox[{",", "\",\"", "2", "4", "0"}, "RowWithSeparators"]], - $CellContext`c[2, 2, 0]], ",", + $CellContext`c[2, 4, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "2", "2", "1"}, + TemplateBox[{",", "\",\"", "2", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[2, 2, 1]], ",", + $CellContext`c[2, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", @@ -3671,13 +52665,13 @@ Cell[BoxData[ TemplateBox[{",", "\",\"", "1", "3", "1"}, "RowWithSeparators"]], $CellContext`c[1, 3, 1]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox["\"Transformations: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ - InterpretationBox[ - RowBox[{ - TagBox["NambuTransforms", "SummaryHead"], "[", + RowBox[{ + TagBox["\"Transformations: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ + InterpretationBox[ + RowBox[{ + TagBox["NambuMatrices", "SummaryHead"], "[", DynamicModuleBox[{ Typeset`open$$ = False, Typeset`embedState$$ = "Ready"}, @@ -3699,7 +52693,7 @@ Cell[BoxData[ TagBox[ "\"Number of Transformations: \"", "SummaryItemAnnotation"], "\[InvisibleSpace]", - TagBox["6", "SummaryItem"]}]}, { + TagBox["5", "SummaryItem"]}]}, { RowBox[{ TagBox[ "\"Dimensions of each: \"", "SummaryItemAnnotation"], @@ -3714,10 +52708,9 @@ Cell[BoxData[ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> { "Columns" -> {{2}}, "Rows" -> {{Automatic}}}, - BaseStyle -> { - ShowStringCharacters -> False, NumberMarks -> False, - PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, - GridBoxAlignment -> { + BaseStyle -> {ShowStringCharacters -> False, NumberMarks -> + False, PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, + GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, @@ -3738,7 +52731,7 @@ Cell[BoxData[ TagBox[ "\"Number of Transformations: \"", "SummaryItemAnnotation"], "\[InvisibleSpace]", - TagBox["6", "SummaryItem"]}]}, { + TagBox["5", "SummaryItem"]}]}, { RowBox[{ TagBox[ "\"Dimensions of each: \"", "SummaryItemAnnotation"], @@ -3929,13 +52922,12 @@ Cell[BoxData[ "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, - GridBoxSpacings -> {"Columns" -> {{2}}, - "Rows" -> {{Automatic}}}, BaseStyle -> { - ShowStringCharacters -> False, NumberMarks -> False, - PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, - GridBoxAlignment -> {"Columns" -> {{Left}}, - "Rows" -> {{Top}}}, AutoDelete -> False, - GridBoxItemSize -> {"Columns" -> {{Automatic}}, + GridBoxSpacings -> {"Columns" -> {{2}}, "Rows" -> {{ + Automatic}}}, BaseStyle -> 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Complex[ - 0.05878770379884127, -0.22658992563855607`], {5, 38} -> - Complex[-0.34981732611662325`, -0.11696760053686867`], {5, - 39} -> Complex[-0.1615086931185547, - 0.2038837036292387], {5, 40} -> - Complex[0.468967993475222, 0.], {5, 41} -> - Complex[-0.16085487116109506`, 0.07542778521341045], {5, - 42} -> Complex[0.2974065306304634, 0.1879536683021757], { - 5, 43} -> Complex[ - 0.4199586015679177, 0.005857444943267762], {5, 44} -> - Complex[0.02499085543716096, 0.07549372038404914], {6, 7} -> - Complex[-0.10463685944321956`, -0.07511789469324247], {6, - 8} -> Complex[-0.12205487501450044`, - 0.20289574844353508`], {6, 9} -> - Complex[0.09702226222507297, 0.22133024046114783`], {6, - 10} -> Complex[-0.20427899641694272`, - 0.07412556370526623], {6, 11} -> - Complex[0.3968568746645965, 0.3179542352133835], {6, 12} -> - Complex[-0.3491533250344545, -0.03996336991178122], {6, - 13} -> Complex[-0.1609340029528849, \ --0.14622439757739267`], {6, 14} -> - Complex[0.02734387279170107, -0.15732878597712807`], {6, - 15} -> - Complex[-0.09481874255295673, -0.10031131935700385`], {6, - 16} -> Complex[ - 0.31083656874000754`, 0.20480433581617183`], {6, 17} -> - Complex[-0.25297712909181935`, -0.24121475433095296`], {6, + 0.16886226853284902`, -0.09995815269446029], {3, 11} -> + Complex[-0.4595486349928525, -0.5936293598441543], {3, + 12} -> Complex[ + 0.16886226853284902`, -0.09995815269446029], {3, 13} -> + Complex[0.1424802831685226, 0.3238436916080838], {3, 14} -> + Complex[-0.5339977812084036, 0.0237137427878297], {3, 15} -> + Complex[-0.043373158188954805`, -0.13092163118113936`], { + 3, 16} -> Complex[ + 0.6194919077719369, -0.18785648024342128`], {3, 17} -> + Complex[-0.11642322363360733`, -0.00142083881204072], {3, + 18} -> Complex[0.6496315505865562, 0.], {3, 19} -> + Complex[-0.12302427453674074`, 0.07746786401493004], {3, + 20} -> Complex[-0.04247672407517362, \ +-0.1718935005705546], {4, 5} -> + Complex[0.10413016943956718`, 0.22297370914670617`], {4, + 6} -> Complex[-0.25382331338985276`, + 0.11365212494890278`], {4, 7} -> + Complex[-0.054318662904563914`, -0.03461602826134062], {4, + 8} -> Complex[ + 0.10085100467749833`, -0.3097238448325561], {4, 9} -> + Complex[0.012338140113366952`, 0.2731083147166365], {4, + 10} -> Complex[-0.16406380344662008`, + 0.2714872146303018], {4, 11} -> + Complex[0.012338140113366952`, 0.2731083147166365], {4, + 12} -> Complex[-0.16406380344662008`, + 0.2714872146303018], {4, 13} -> + Complex[-0.054318662904563914`, -0.03461602826134062], {4, + 14} -> Complex[ + 0.10085100467749833`, -0.3097238448325561], {4, 15} -> + Complex[0.10413016943956718`, 0.22297370914670617`], {4, + 16} -> Complex[-0.25382331338985276`, + 0.11365212494890278`], {4, 17} -> + Complex[0.35036844941344375`, 0.], {4, 18} -> + Complex[-0.11642322363360733`, 0.00142083881204072], {4, + 19} -> Complex[-0.19855575578138907`, + 0.13976043531592253`], {4, 20} -> + Complex[-0.41190457842673445`, 0.10096704656405156`], {5, + 6} -> Complex[0.8398164624754396, 0.], {5, 7} -> + Complex[0.09722522986530092, 0.27295068652732835`], {5, + 8} -> Complex[-0.7455268330838196, -0.05348186753768233], \ +{5, 9} -> Complex[-0.3667439231349111, -0.6081952666850816], {5, 10} -> + Complex[0.42535358720445315`, -0.25879396108227437`], {5, + 11} -> Complex[-0.3667439231349111, -0.6081952666850816], \ +{5, 12} -> Complex[0.42535358720445315`, -0.25879396108227437`], {5, 13} -> + Complex[0.09722522986530092, 0.27295068652732835`], {5, + 14} -> Complex[-0.7455268330838196, \ +-0.05348186753768233], {5, 15} -> + Complex[0.00001597216632635845, -0.12148045184745768`], { + 5, 16} -> Complex[0.8398164624754396, 0.], {5, 17} -> + Complex[-0.25382331338985276`, -0.11365212494890278`], {5, 18} -> Complex[ - 0.45325964260328205`, 0.28221185233103285`], {6, 19} -> - Complex[-0.14609298550332978`, -0.10886984234665863`], {6, - 20} -> Complex[-0.16708358508261859`, - 0.0952802518296103], {6, 21} -> - Complex[0.2828692771265636, 0.22272520744230984`], {6, - 22} -> Complex[-0.03839447190915796, \ --0.0785609790385338], {6, 23} -> - Complex[0.2828692771265636, 0.22272520744230984`], {6, - 24} -> Complex[-0.03839447190915796, \ --0.0785609790385338], {6, 25} -> - Complex[-0.14609298550332978`, -0.10886984234665863`], {6, - 26} -> Complex[-0.16708358508261859`, - 0.0952802518296103], {6, 27} -> - Complex[-0.25297712909181935`, -0.24121475433095296`], {6, - 28} -> Complex[ - 0.45325964260328205`, 0.28221185233103285`], {6, 29} -> - Complex[-0.09481874255295673, -0.10031131935700385`], {6, - 30} -> Complex[ - 0.31083656874000754`, 0.20480433581617183`], {6, 31} -> - Complex[-0.1609340029528849, -0.14622439757739267`], {6, - 32} -> Complex[ - 0.02734387279170107, -0.15732878597712807`], {6, 33} -> - Complex[0.3968568746645965, 0.3179542352133835], {6, 34} -> - Complex[-0.3491533250344545, -0.03996336991178122], {6, - 35} -> Complex[ - 0.09702226222507297, 0.22133024046114783`], {6, 36} -> - Complex[-0.20427899641694272`, 0.07412556370526623], {6, - 37} -> Complex[-0.10463685944321956`, \ --0.07511789469324247], {6, 38} -> - Complex[-0.12205487501450044`, 0.20289574844353508`], {6, - 39} -> Complex[0.5310320065247784, 0.], {6, 40} -> - Complex[-0.1615086931185547, -0.2038837036292387], {6, - 41} -> Complex[ - 0.24996097903041953`, -0.06915690707552657], {6, 42} -> - Complex[0.16085487116109504`, 0.07542778521341045], {6, - 43} -> Complex[-0.45109358752254786`, \ --0.09460162479535734], {6, 44} -> - Complex[0.06898434080010694, 0.09215296359165348], {7, 8} -> - Complex[0.40722091172603664`, 0.], {7, 9} -> - Complex[-0.11182389060304421`, -0.25265368675817396`], {7, - 10} -> Complex[ - 0.037776510481617454`, -0.09367396801112708], {7, 11} -> - Complex[-0.01419351798580596, -0.23202353736641174`], {7, - 12} -> Complex[-0.14788859535778534`, - 0.07700626795012017], {7, 13} -> - Complex[0.28236460239168537`, 0.06515002989777242], {7, - 14} -> Complex[-0.000017190129231528517`, - 0.1919850410618445], {7, 15} -> - Complex[-0.16663539437880773`, -0.10437706201084027`], {7, - 16} -> - Complex[-0.11579180416428306`, -0.3654825088637898], {7, - 17} -> Complex[-0.2578313234243952, \ --0.008223482143912858], {7, 18} -> - Complex[-0.0010546882191990493`, -0.4188657078206115], {7, - 19} -> Complex[ - 0.04950835193514282, 0.39192964728125823`], {7, 20} -> - Complex[0.3849695122204991, 0.1062213573260169], {7, 21} -> - Complex[-0.19902782536665659`, -0.3494630626340304], {7, - 22} -> Complex[-0.2157400959251074, \ --0.14810189039274838`], {7, 23} -> - Complex[-0.19902782536665659`, -0.3494630626340304], {7, - 24} -> Complex[-0.2157400959251074, \ --0.14810189039274838`], {7, 25} -> - Complex[0.04950835193514282, 0.39192964728125823`], {7, - 26} -> Complex[0.3849695122204991, 0.1062213573260169], { - 7, 27} -> - Complex[-0.2578313234243952, -0.008223482143912858], {7, - 28} -> Complex[-0.0010546882191990493`, \ --0.4188657078206115], {7, 29} -> - Complex[-0.16663539437880773`, -0.10437706201084027`], {7, - 30} -> - Complex[-0.11579180416428306`, -0.3654825088637898], {7, - 31} -> Complex[ - 0.28236460239168537`, 0.06515002989777242], {7, 32} -> - Complex[-0.000017190129231528517`, 0.1919850410618445], { - 7, 33} -> - Complex[-0.01419351798580596, -0.23202353736641174`], {7, - 34} -> Complex[-0.14788859535778534`, - 0.07700626795012017], {7, 35} -> - Complex[-0.11182389060304421`, -0.25265368675817396`], {7, - 36} -> Complex[ - 0.037776510481617454`, -0.09367396801112708], {7, 37} -> - Complex[0.010402704038078874`, 0.24698236535710935`], {7, - 38} -> Complex[0.40722091172603664`, 0.], {7, 39} -> - Complex[-0.12205487501450044`, -0.20289574844353508`], {7, - 40} -> Complex[-0.34981732611662325`, - 0.11696760053686867`], {7, 41} -> - Complex[0.022359289844474148`, -0.05594243870731504], {7, - 42} -> Complex[-0.38111102023432214`, \ --0.1362923217488655], {7, 43} -> - Complex[-0.17438166315534948`, 0.03950929068321911], {7, - 44} -> Complex[-0.025669162689525127`, - 0.01601380409712927], {8, 9} -> - Complex[-0.15753135165944274`, 0.015530037395122431`], {8, - 10} -> - Complex[-0.10764128844166919`, -0.06170068553810148], {8, - 11} -> Complex[-0.18342661221059317`, \ --0.0691351893734958], {8, 12} -> - Complex[0.09808243309028082, 0.08309117318181813], {8, - 13} -> Complex[ - 0.07074686751407203, -0.1846815194029794], {8, 14} -> - Complex[0.12729567759922444`, 0.0474240351088444], {8, - 15} -> Complex[-0.06799939323987887, - 0.15542062808459078`], {8, 16} -> - Complex[-0.3260753449894908, 0.09076864462541498], {8, - 17} -> Complex[ - 0.054106634788614424`, 0.19153336538244783`], {8, 18} -> - Complex[-0.35213150811029553`, -0.004581446940964962], {8, - 19} -> Complex[ - 0.3030470345876809, -0.022519062872992452`], {8, 20} -> - Complex[0.0853534267428824, -0.2685944681825865], {8, 21} -> - Complex[-0.29947000384932826`, 0.15932598599277575`], {8, - 22} -> Complex[-0.1066773309353098, - 0.12038972095215114`], {8, 23} -> - Complex[-0.29947000384932826`, 0.15932598599277575`], {8, - 24} -> Complex[-0.1066773309353098, - 0.12038972095215114`], {8, 25} -> - Complex[0.3030470345876809, -0.022519062872992452`], {8, - 26} -> Complex[0.0853534267428824, -0.2685944681825865], { - 8, 27} -> Complex[ - 0.054106634788614424`, 0.19153336538244783`], {8, 28} -> - Complex[-0.35213150811029553`, -0.004581446940964962], {8, - 29} -> Complex[-0.06799939323987887, - 0.15542062808459078`], {8, 30} -> - Complex[-0.3260753449894908, 0.09076864462541498], {8, - 31} -> Complex[ - 0.07074686751407203, -0.1846815194029794], {8, 32} -> - Complex[0.12729567759922444`, 0.0474240351088444], {8, - 33} -> Complex[-0.18342661221059317`, \ --0.0691351893734958], {8, 34} -> - Complex[0.09808243309028082, 0.08309117318181813], {8, - 35} -> Complex[-0.15753135165944274`, - 0.015530037395122431`], {8, 36} -> - Complex[-0.10764128844166919`, -0.06170068553810148], {8, - 37} -> Complex[0.23794441743992187`, 0.], {8, 38} -> - Complex[0.010402704038078874`, -0.24698236535710935`], {8, - 39} -> Complex[-0.10463685944321956`, - 0.07511789469324247], {8, 40} -> - Complex[0.05878770379884127, 0.22658992563855607`], {8, - 41} -> Complex[-0.027880395040276548`, - 0.022333165755832735`], {8, 42} -> - Complex[-0.13014881358492147`, 0.2568379516702825], {8, - 43} -> Complex[-0.15170199807896514`, - 0.08485524070787617], {8, 44} -> - Complex[-0.13039638629884198`, 0.034128661373563796`], {9, - 10} -> Complex[0.25196673625598803`, 0.], {9, 11} -> - Complex[-0.10288428074555514`, -0.11276794141596694`], {9, - 12} -> Complex[ - 0.14071347978647328`, -0.02565787631307584], {9, 13} -> - Complex[0.02273034207641774, 0.17980351945521167`], {9, - 14} -> Complex[-0.12743791707027466`, - 0.10129786140711028`], {9, 15} -> - Complex[0.09733875051643903, 0.02252167088462168], {9, - 16} -> Complex[ - 0.10291125338889108`, -0.24223763722943603`], {9, 17} -> - Complex[0.1420818225049802, 0.020549905336444067`], {9, - 18} -> Complex[ - 0.01836995244926526, -0.1484624429717301], {9, 19} -> - Complex[-0.16763998959907517`, 0.06187718632736254], {9, + 0.6194919077719369, 0.18785648024342128`], {5, 19} -> + Complex[0.22974848938352552`, -0.06560099110121112], {5, 20} -> Complex[ - 0.0333938099578483, 0.13285998183650485`], {9, 21} -> - Complex[0.0773132411259754, -0.2576476349973377], {9, 22} -> - Complex[0.11625516970040772`, -0.0444573016449614], {9, - 23} -> Complex[0.0773132411259754, -0.2576476349973377], { - 9, 24} -> Complex[ - 0.11625516970040772`, -0.0444573016449614], {9, 25} -> - Complex[-0.16763998959907517`, 0.06187718632736254], {9, - 26} -> Complex[ - 0.0333938099578483, 0.13285998183650485`], {9, 27} -> - Complex[0.1420818225049802, 0.020549905336444067`], {9, - 28} -> Complex[ - 0.01836995244926526, -0.1484624429717301], {9, 29} -> - Complex[0.09733875051643903, 0.02252167088462168], {9, - 30} -> Complex[ - 0.10291125338889108`, -0.24223763722943603`], {9, 31} -> - Complex[0.02273034207641774, 0.17980351945521167`], {9, - 32} -> Complex[-0.12743791707027466`, - 0.10129786140711028`], {9, 33} -> - Complex[-0.10288428074555514`, -0.11276794141596694`], {9, - 34} -> Complex[ - 0.14071347978647328`, -0.02565787631307584], {9, 35} -> - Complex[0.06900560553474475, -0.09147719506750722], {9, - 36} -> Complex[0.25196673625598803`, 0.], {9, 37} -> - Complex[-0.10764128844166919`, 0.06170068553810148], {9, - 38} -> Complex[ - 0.037776510481617454`, 0.09367396801112708], {9, 39} -> - Complex[-0.20427899641694272`, -0.07412556370526623], {9, - 40} -> Complex[ - 0.08962504736031421, -0.07047087465677605], {9, 41} -> - Complex[-0.16355189170640141`, -0.0020087730063969023`], { - 9, 42} -> Complex[ - 0.054844360699783046`, -0.14881405380941012`], {9, 43} -> - Complex[0.3515392968529229, -0.1183042407887405], {9, 44} -> - Complex[0.1303218739406829, 0.013372910644229352`], {10, - 11} -> Complex[ - 0.4234517136865772, -0.17382859154523886`], {10, 12} -> - Complex[0.08297996191121794, 0.14731977594965492`], {10, - 13} -> Complex[-0.3267580701610388, 0.2909584163641271], { - 10, 14} -> - Complex[-0.1864696256262259, -0.16562554341192864`], {10, + 0.13544428648031903`, -0.19691843469914722`], {6, 7} -> + Complex[-0.19934519146288274`, -0.013431678465735945`], { + 6, 8} -> + Complex[-0.22207629370492424`, -0.0033464669109926626`], { + 6, 9} -> Complex[ + 0.42385583336309873`, 0.1832687161369394], {6, 10} -> + Complex[-0.032737659113787204`, 0.11991386581324648`], {6, + 11} -> Complex[ + 0.42385583336309873`, 0.1832687161369394], {6, 12} -> + Complex[-0.032737659113787204`, 0.11991386581324648`], {6, + 13} -> + Complex[-0.19934519146288274`, -0.013431678465735945`], { + 6, 14} -> + Complex[-0.22207629370492424`, -0.0033464669109926626`], { + 6, 15} -> Complex[0.38843505731967287`, 0.], {6, 16} -> + Complex[0.00001597216632635845, 0.12148045184745768`], {6, + 17} -> Complex[ + 0.10413016943956718`, -0.22297370914670617`], {6, 18} -> + Complex[-0.043373158188954805`, 0.13092163118113936`], {6, + 19} -> + Complex[-0.18180230024664332`, -0.054332597736416854`], { + 6, 20} -> Complex[-0.039769349206147636`, + 0.26003894784963594`], {7, 8} -> + Complex[0.9680395782291871, 0.], {7, 9} -> + Complex[0.3437995753290022, 0.1618613168639682], {7, 10} -> + Complex[-0.455490228261869, 0.1840044440612254], {7, 11} -> + Complex[0.3437995753290022, 0.1618613168639682], {7, 12} -> + Complex[-0.455490228261869, 0.1840044440612254], {7, 13} -> + Complex[-0.13506899338841022`, -0.16101632026955323`], {7, + 14} -> Complex[0.9680395782291871, 0.], {7, 15} -> + Complex[-0.22207629370492424`, 0.0033464669109926626`], { + 7, 16} -> Complex[-0.7455268330838196, + 0.05348186753768233], {7, 17} -> + Complex[0.10085100467749833`, 0.3097238448325561], {7, + 18} -> Complex[-0.5339977812084036, -0.0237137427878297], \ +{7, 19} -> Complex[-0.28038176358745925`, -0.004720384308614219], {7, 20} -> + Complex[0.04048552078818336, -0.1702432986761785], {8, 9} -> + Complex[-0.5457126961790097, 0.05668631714849469], {8, + 10} -> Complex[ + 0.14196523770708375`, -0.12087423369216294`], {8, 11} -> + Complex[-0.5457126961790097, 0.05668631714849469], {8, + 12} -> Complex[ + 0.14196523770708375`, -0.12087423369216294`], {8, 13} -> + Complex[0.2895038053873007, 0.], {8, 14} -> + Complex[-0.13506899338841022`, 0.16101632026955323`], {8, + 15} -> Complex[-0.19934519146288274`, + 0.013431678465735945`], {8, 16} -> + Complex[0.09722522986530092, -0.27295068652732835`], {8, + 17} -> Complex[-0.054318662904563914`, + 0.03461602826134062], {8, 18} -> + Complex[0.1424802831685226, -0.3238436916080838], {8, 19} -> + Complex[0.2403621718962033, 0.1600109431330354], {8, 20} -> + Complex[-0.08118935940382904, 0.00407613141158851], {9, + 10} -> Complex[0.6224509318602711, 0.], {9, 11} -> + Complex[-0.2505304362934819, -0.30602272798394614`], {9, + 12} -> Complex[0.6224509318602711, 0.], {9, 13} -> + Complex[0.14196523770708375`, 0.12087423369216294`], {9, + 14} -> Complex[-0.455490228261869, -0.1840044440612254], { + 9, 15} -> + Complex[-0.032737659113787204`, -0.11991386581324648`], { + 9, 16} -> Complex[ + 0.42535358720445315`, 0.25879396108227437`], {9, 17} -> + Complex[-0.16406380344662008`, -0.2714872146303018], {9, + 18} -> Complex[ + 0.16886226853284902`, 0.09995815269446029], {9, 19} -> + Complex[0.560455833981222, 0.3615055764194781], {9, 20} -> + Complex[0.19389892440588408`, 0.0002551202108215661], {10, + 11} -> Complex[1.450065179250162, 0.], {10, 12} -> + Complex[-0.2505304362934819, 0.30602272798394614`], {10, + 13} -> Complex[-0.5457126961790097, \ +-0.05668631714849469], {10, 14} -> + Complex[0.3437995753290022, -0.1618613168639682], {10, 15} -> Complex[ - 0.12752255814459348`, -0.01058258297182084], {10, 16} -> - Complex[0.23082108426859382`, -0.1151631361820325], {10, - 17} -> Complex[-0.003894793002414687, - 0.08913866560779202], {10, 18} -> - Complex[0.3339398475970939, -0.15997328431271962`], {10, - 19} -> Complex[-0.26920184199068836`, \ --0.03518514503066193], {10, 20} -> - Complex[-0.22526455556679315`, 0.2299720433182001], {10, - 21} -> Complex[ - 0.34304074287236563`, -0.14955941448349905`], {10, 22} -> - Complex[0.17642220929810848`, 0.008365816397526732], {10, - 23} -> Complex[ - 0.34304074287236563`, -0.14955941448349905`], {10, 24} -> - Complex[0.17642220929810848`, 0.008365816397526732], {10, - 25} -> Complex[-0.26920184199068836`, \ --0.03518514503066193], {10, 26} -> - Complex[-0.22526455556679315`, 0.2299720433182001], {10, - 27} -> Complex[-0.003894793002414687, - 0.08913866560779202], {10, 28} -> - Complex[0.3339398475970939, -0.15997328431271962`], {10, - 29} -> Complex[ - 0.12752255814459348`, -0.01058258297182084], {10, 30} -> - Complex[0.23082108426859382`, -0.1151631361820325], {10, - 31} -> Complex[-0.3267580701610388, 0.2909584163641271], { - 10, 32} -> - Complex[-0.1864696256262259, -0.16562554341192864`], {10, - 33} -> Complex[ - 0.4234517136865772, -0.17382859154523886`], {10, 34} -> - Complex[0.08297996191121794, 0.14731977594965492`], {10, - 35} -> Complex[0.43857566553537836`, 0.], {10, 36} -> - Complex[0.06900560553474475, 0.09147719506750722], {10, - 37} -> Complex[-0.15753135165944274`, \ --0.015530037395122431`], {10, 38} -> - Complex[-0.11182389060304421`, 0.25265368675817396`], {10, - 39} -> Complex[ - 0.09702226222507297, -0.22133024046114783`], {10, 40} -> - Complex[0.009374693569077844, -0.15977491506986388`], {10, - 41} -> - Complex[-0.08644616482776159, -0.02912593915216866], {10, - 42} -> Complex[ - 0.379622482561638, -0.37763535611646337`], {10, 43} -> - Complex[0.02713104019918751, 0.08552834190809729], {10, - 44} -> Complex[ - 0.061769134612388144`, -0.4327409797306362], {11, 12} -> - Complex[0.47847656274123934`, 0.], {11, 13} -> - Complex[-0.04614471842445865, 0.2012403202344506], {11, - 14} -> Complex[-0.11825712208599867`, - 0.03281527611416887], {11, 15} -> - Complex[0.19273536111508338`, 0.17960309701589544`], {11, - 16} -> Complex[-0.18153329267644502`, - 0.04101286407624916], {11, 17} -> - Complex[0.44801071428465117`, 0.2692922761438914], {11, - 18} -> Complex[-0.3929683587836577, \ --0.049717383500414464`], {11, 19} -> - Complex[0.06151949272740251, -0.14597827062414853`], {11, - 20} -> Complex[-0.11512173225228697`, \ --0.06603202019404991], {11, 21} -> - Complex[-0.08480107108956837, -0.011733274510644723`], { - 11, 22} -> - Complex[0.2100350983072742, 0.12968311623120948`], {11, - 23} -> - Complex[-0.08480107108956837, -0.011733274510644723`], { - 11, 24} -> - Complex[0.2100350983072742, 0.12968311623120948`], {11, - 25} -> Complex[ - 0.06151949272740251, -0.14597827062414853`], {11, 26} -> - Complex[-0.11512173225228697`, -0.06603202019404991], {11, - 27} -> Complex[ - 0.44801071428465117`, 0.2692922761438914], {11, 28} -> - Complex[-0.3929683587836577, -0.049717383500414464`], {11, - 29} -> Complex[ - 0.19273536111508338`, 0.17960309701589544`], {11, 30} -> - Complex[-0.18153329267644502`, 0.04101286407624916], {11, - 31} -> Complex[-0.04614471842445865, - 0.2012403202344506], {11, 32} -> - Complex[-0.11825712208599867`, 0.03281527611416887], {11, - 33} -> Complex[-0.2995258955811395, \ --0.31724225693749325`], {11, 34} -> - Complex[0.47847656274123934`, 0.], {11, 35} -> - Complex[0.08297996191121794, -0.14731977594965492`], {11, - 36} -> Complex[ - 0.14071347978647328`, 0.02565787631307584], {11, 37} -> - Complex[0.09808243309028082, -0.08309117318181813], {11, - 38} -> Complex[-0.14788859535778534`, \ --0.07700626795012017], {11, 39} -> - Complex[-0.3491533250344545, 0.03996336991178122], {11, - 40} -> Complex[0.336844195579561, 0.07854946929481876], { - 11, 41} -> - Complex[-0.2314546186051366, 0.10371093144607982`], {11, - 42} -> Complex[ - 0.07987741073093885, -0.09325674519337618], {11, 43} -> - Complex[0.4055612310928953, 0.08934959360815586], {11, - 44} -> Complex[-0.26307950478543923`, \ --0.1141036247953411], {12, 13} -> - Complex[-0.3741286789371999, 0.08815664694864397], {12, - 14} -> Complex[-0.0895373655226468, -0.2726390562042197], \ -{12, 15} -> Complex[-0.10619283788354225`, -0.09442620281597475], {12, 16} -> - Complex[0.32708256838048577`, -0.13908395997171136`], {12, - 17} -> Complex[-0.46001366242443475`, - 0.04501903103250712], {12, 18} -> - Complex[0.6355045742435778, -0.21145565318624404`], {12, - 19} -> Complex[-0.2261801898794757, 0.0697599821374323], { - 12, 20} -> - Complex[-0.14250557605474204`, 0.2063165128775194], {12, - 21} -> Complex[ - 0.3907111567253396, -0.10268276555989041`], {12, 22} -> - Complex[-0.03463050797136755, -0.0005686162402836065], { - 12, 23} -> - Complex[0.3907111567253396, -0.10268276555989041`], {12, - 24} -> Complex[-0.03463050797136755, \ --0.0005686162402836065], {12, 25} -> - Complex[-0.2261801898794757, 0.0697599821374323], {12, - 26} -> Complex[-0.14250557605474204`, - 0.2063165128775194], {12, 27} -> - Complex[-0.46001366242443475`, 0.04501903103250712], {12, - 28} -> Complex[ - 0.6355045742435778, -0.21145565318624404`], {12, 29} -> - Complex[-0.10619283788354225`, -0.09442620281597475], {12, - 30} -> Complex[ - 0.32708256838048577`, -0.13908395997171136`], {12, 31} -> - Complex[-0.3741286789371999, 0.08815664694864397], {12, - 32} -> Complex[-0.0895373655226468, -0.2726390562042197], \ -{12, 33} -> Complex[0.7967874310583581, 0.], {12, 34} -> - Complex[-0.2995258955811395, 0.31724225693749325`], {12, - 35} -> Complex[ - 0.4234517136865772, 0.17382859154523886`], {12, 36} -> - Complex[-0.10288428074555514`, 0.11276794141596694`], {12, - 37} -> Complex[-0.18342661221059317`, - 0.0691351893734958], {12, 38} -> - Complex[-0.01419351798580596, 0.23202353736641174`], {12, - 39} -> Complex[0.3968568746645965, -0.3179542352133835], { - 12, 40} -> - Complex[-0.27009710197247705`, -0.09683696616535195], {12, - 41} -> Complex[ - 0.08638740713343389, -0.17434418695303155`], {12, 42} -> - Complex[0.34476738289430997`, -0.2555576049300379], {12, - 43} -> Complex[-0.3528482206005182, - 0.13773954600162294`], {12, 44} -> - Complex[0.2510790597533612, -0.48812162559983474`], {13, - 14} -> Complex[0.23765539643867975`, 0.], {13, 15} -> - Complex[-0.01114356571997462, 0.027664002308237984`], {13, - 16} -> Complex[-0.19358892550608142`, - 0.1309226927016317], {13, 17} -> - Complex[-0.06851992241433469, -0.0744015573825995], {13, - 18} -> Complex[-0.11993561442023166`, - 0.17547153928175108`], {13, 19} -> - Complex[0.18655369587288279`, -0.03316644798025127], {13, + 0.42385583336309873`, -0.1832687161369394], {10, 16} -> + Complex[-0.3667439231349111, 0.6081952666850816], {10, + 17} -> Complex[ + 0.012338140113366952`, -0.2731083147166365], {10, 18} -> + Complex[-0.4595486349928525, 0.5936293598441543], {10, + 19} -> Complex[-0.4011625553983744, \ +-0.29553698205924495`], {10, 20} -> + Complex[0.40425159006663103`, 0.5324589366414598], {11, + 12} -> Complex[0.6224509318602711, 0.], {11, 13} -> + Complex[0.14196523770708375`, 0.12087423369216294`], {11, + 14} -> Complex[-0.455490228261869, -0.1840044440612254], { + 11, 15} -> + Complex[-0.032737659113787204`, -0.11991386581324648`], { + 11, 16} -> + Complex[0.42535358720445315`, 0.25879396108227437`], {11, + 17} -> Complex[-0.16406380344662008`, \ +-0.2714872146303018], {11, 18} -> + Complex[0.16886226853284902`, 0.09995815269446029], {11, + 19} -> Complex[0.560455833981222, 0.3615055764194781], { + 11, 20} -> + Complex[0.19389892440588408`, 0.0002551202108215661], {12, + 13} -> + Complex[-0.5457126961790097, -0.05668631714849469], {12, + 14} -> Complex[0.3437995753290022, -0.1618613168639682], { + 12, 15} -> + Complex[0.42385583336309873`, -0.1832687161369394], {12, + 16} -> Complex[-0.3667439231349111, 0.6081952666850816], { + 12, 17} -> + Complex[0.012338140113366952`, -0.2731083147166365], {12, + 18} -> Complex[-0.4595486349928525, 0.5936293598441543], { + 12, 19} -> + Complex[-0.4011625553983744, -0.29553698205924495`], {12, 20} -> Complex[ - 0.030760616858804858`, -0.23538416809123017`], {13, 21} -> - Complex[-0.18155862358181848`, 0.21175025822039334`], {13, - 22} -> Complex[-0.12865709489960156`, - 0.05845882137761309], {13, 23} -> - Complex[-0.18155862358181848`, 0.21175025822039334`], {13, - 24} -> Complex[-0.12865709489960156`, - 0.05845882137761309], {13, 25} -> - Complex[0.18655369587288279`, -0.03316644798025127], {13, - 26} -> Complex[ - 0.030760616858804858`, -0.23538416809123017`], {13, 27} -> - Complex[-0.06851992241433469, -0.0744015573825995], {13, - 28} -> Complex[-0.11993561442023166`, - 0.17547153928175108`], {13, 29} -> - Complex[-0.01114356571997462, 0.027664002308237984`], {13, - 30} -> Complex[-0.19358892550608142`, - 0.1309226927016317], {13, 31} -> - Complex[0.02230195983430227, -0.2772501264695485], {13, - 32} -> Complex[0.23765539643867975`, 0.], {13, 33} -> - Complex[-0.0895373655226468, 0.2726390562042197], {13, - 34} -> Complex[-0.11825712208599867`, \ --0.03281527611416887], {13, 35} -> - Complex[-0.1864696256262259, 0.16562554341192864`], {13, - 36} -> Complex[-0.12743791707027466`, \ --0.10129786140711028`], {13, 37} -> - Complex[0.12729567759922444`, -0.0474240351088444], {13, - 38} -> Complex[-0.000017190129231528517`, \ --0.1919850410618445], {13, 39} -> - Complex[0.02734387279170107, 0.15732878597712807`], {13, - 40} -> Complex[-0.0011166380242527973`, - 0.07436247657447947], {13, 41} -> - Complex[0.05708663295773911, 0.035481827368848175`], {13, - 42} -> Complex[-0.00017138517387816493`, - 0.2782657630841046], {13, 43} -> - Complex[-0.20560310592993947`, 0.0017739749319820586`], { - 13, 44} -> - Complex[0.19966066214556275`, 0.07718245548597671], {14, - 15} -> Complex[-0.1434740078467142, \ --0.14249005754771799`], {14, 16} -> - Complex[-0.22606462874900565`, -0.1399133548131939], {14, - 17} -> Complex[-0.0043849913193274165`, \ --0.14245792695609336`], {14, 18} -> - Complex[-0.285231737878617, -0.11923332261820863`], {14, + 0.40425159006663103`, 0.5324589366414598], {13, 14} -> + Complex[0.9680395782291871, 0.], {13, 15} -> + Complex[-0.22207629370492424`, 0.0033464669109926626`], { + 13, 16} -> + Complex[-0.7455268330838196, 0.05348186753768233], {13, + 17} -> Complex[ + 0.10085100467749833`, 0.3097238448325561], {13, 18} -> + Complex[-0.5339977812084036, -0.0237137427878297], {13, + 19} -> Complex[-0.28038176358745925`, \ +-0.004720384308614219], {13, 20} -> + Complex[0.04048552078818336, -0.1702432986761785], {14, + 15} -> Complex[-0.19934519146288274`, + 0.013431678465735945`], {14, 16} -> + Complex[0.09722522986530092, -0.27295068652732835`], {14, + 17} -> Complex[-0.054318662904563914`, + 0.03461602826134062], {14, 18} -> + Complex[0.1424802831685226, -0.3238436916080838], {14, + 19} -> Complex[0.2403621718962033, 0.1600109431330354], { + 14, 20} -> + Complex[-0.08118935940382904, 0.00407613141158851], {15, + 16} -> Complex[0.8398164624754396, 0.], {15, 17} -> + Complex[-0.25382331338985276`, -0.11365212494890278`], { + 15, 18} -> + Complex[0.6194919077719369, 0.18785648024342128`], {15, 19} -> Complex[ - 0.13352455457746898`, 0.28187182844600256`], {14, 20} -> - Complex[0.3674430035252537, 0.02942988722855236], {14, - 21} -> Complex[-0.3706890731222189, \ --0.18044487919137855`], {14, 22} -> - Complex[-0.14083455775068546`, -0.19707451798647965`], { - 14, 23} -> - Complex[-0.3706890731222189, -0.18044487919137855`], {14, - 24} -> Complex[-0.14083455775068546`, \ --0.19707451798647965`], {14, 25} -> - Complex[0.13352455457746898`, 0.28187182844600256`], {14, - 26} -> Complex[0.3674430035252537, 0.02942988722855236], { - 14, 27} -> - Complex[-0.0043849913193274165`, -0.14245792695609336`], { - 14, 28} -> - Complex[-0.285231737878617, -0.11923332261820863`], {14, - 29} -> Complex[-0.1434740078467142, \ --0.14249005754771799`], {14, 30} -> - Complex[-0.22606462874900565`, -0.1399133548131939], {14, - 31} -> Complex[0.4906588842328401, 0.], {14, 32} -> - Complex[0.02230195983430227, 0.2772501264695485], {14, - 33} -> Complex[-0.3741286789371999, \ --0.08815664694864397], {14, 34} -> - Complex[-0.04614471842445865, -0.2012403202344506], {14, - 35} -> Complex[-0.3267580701610388, -0.2909584163641271], \ -{14, 36} -> Complex[0.02273034207641774, -0.17980351945521167`], {14, 37} -> - Complex[0.07074686751407203, 0.1846815194029794], {14, - 38} -> Complex[ - 0.28236460239168537`, -0.06515002989777242], {14, 39} -> - Complex[-0.1609340029528849, 0.14622439757739267`], {14, - 40} -> Complex[-0.1819302056638001, - 0.03832842256630628], {14, 41} -> - Complex[0.07253158825046907, 0.09918291848868536], {14, - 42} -> Complex[-0.5832263376040618, \ --0.009064309617321076], {14, 43} -> - Complex[-0.013262976685837952`, -0.27747406999082147`], { - 14, 44} -> - Complex[-0.30526343247770915`, 0.24598488074984254`], {15, - 16} -> Complex[0.6239172945486772, 0.], {15, 17} -> - Complex[-0.09783202355353876, -0.205800420187774], {15, - 18} -> Complex[ - 0.6038715987396429, 0.13410176235407406`], {15, 19} -> - Complex[-0.4320941387037918, -0.12991593488691688`], {15, - 20} -> Complex[-0.2194984593087177, 0.3316347549781254], { - 15, 21} -> - Complex[0.5764010633854448, -0.06134795783007195], {15, - 22} -> Complex[ - 0.14469920882684142`, -0.08927758557149193], {15, 23} -> - Complex[0.5764010633854448, -0.06134795783007195], {15, - 24} -> Complex[ - 0.14469920882684142`, -0.08927758557149193], {15, 25} -> - Complex[-0.4320941387037918, -0.12991593488691688`], {15, - 26} -> Complex[-0.2194984593087177, 0.3316347549781254], { - 15, 27} -> - Complex[-0.09783202355353876, -0.205800420187774], {15, - 28} -> Complex[ - 0.6038715987396429, 0.13410176235407406`], {15, 29} -> - Complex[0.04520966568846207, -0.09180189043755807], {15, - 30} -> Complex[0.6239172945486772, 0.], {15, 31} -> - Complex[-0.22606462874900565`, 0.1399133548131939], {15, - 32} -> Complex[-0.19358892550608142`, \ --0.1309226927016317], {15, 33} -> - Complex[0.32708256838048577`, 0.13908395997171136`], {15, - 34} -> Complex[-0.18153329267644502`, \ --0.04101286407624916], {15, 35} -> - Complex[0.23082108426859382`, 0.1151631361820325], {15, - 36} -> Complex[ - 0.10291125338889108`, 0.24223763722943603`], {15, 37} -> - Complex[-0.3260753449894908, -0.09076864462541498], {15, - 38} -> Complex[-0.11579180416428306`, - 0.3654825088637898], {15, 39} -> - Complex[0.31083656874000754`, -0.20480433581617183`], {15, - 40} -> - Complex[-0.029524381219098658`, -0.27058433189071296`], { - 15, 41} -> - Complex[0.08011310849505847, -0.15416886768894952`], {15, - 42} -> Complex[0.3032958359848409, -0.155571682390279], { - 15, 43} -> - Complex[0.12154323489501183`, 0.0314843880544678], {15, - 44} -> Complex[ - 0.21413154936334694`, 0.18298303659642504`], {16, 17} -> - Complex[0.307309293748822, -0.12573777648869972`], {16, - 18} -> Complex[-0.005406308519185013, - 0.1923155305107149], {16, 19} -> - Complex[-0.16337863033937647`, -0.15896380516087896`], { + 0.22974848938352552`, -0.06560099110121112], {15, 20} -> + Complex[0.13544428648031903`, -0.19691843469914722`], {16, + 17} -> Complex[ + 0.10413016943956718`, -0.22297370914670617`], {16, 18} -> + Complex[-0.043373158188954805`, 0.13092163118113936`], { + 16, 19} -> + Complex[-0.18180230024664332`, -0.054332597736416854`], { 16, 20} -> - Complex[-0.22589711673635846`, 0.05687526412308362], {16, - 21} -> Complex[0.1400611094476761, 0.04426166547149747], { - 16, 22} -> - Complex[0.21056098056343198`, -0.0010063259480176945`], { - 16, 23} -> - Complex[0.1400611094476761, 0.04426166547149747], {16, - 24} -> Complex[ - 0.21056098056343198`, -0.0010063259480176945`], {16, 25} -> - Complex[-0.16337863033937647`, -0.15896380516087896`], { - 16, 26} -> - Complex[-0.22589711673635846`, 0.05687526412308362], {16, - 27} -> Complex[ - 0.307309293748822, -0.12573777648869972`], {16, 28} -> - Complex[-0.005406308519185013, 0.1923155305107149], {16, - 29} -> Complex[0.2999888691706436, 0.], {16, 30} -> - Complex[0.04520966568846207, 0.09180189043755807], {16, - 31} -> Complex[-0.1434740078467142, - 0.14249005754771799`], {16, 32} -> - Complex[-0.01114356571997462, -0.027664002308237984`], { - 16, 33} -> - Complex[-0.10619283788354225`, 0.09442620281597475], {16, - 34} -> Complex[ - 0.19273536111508338`, -0.17960309701589544`], {16, 35} -> - Complex[0.12752255814459348`, 0.01058258297182084], {16, - 36} -> Complex[ - 0.09733875051643903, -0.02252167088462168], {16, 37} -> - Complex[-0.06799939323987887, -0.15542062808459078`], {16, - 38} -> Complex[-0.16663539437880773`, - 0.10437706201084027`], {16, 39} -> - Complex[-0.09481874255295673, 0.10031131935700385`], {16, - 40} -> Complex[ - 0.21950094015099447`, -0.20337016113487644`], {16, 41} -> - Complex[-0.09640011973456236, 0.13730072302174962`], {16, - 42} -> Complex[ - 0.29615037375733383`, -0.1520353321758059], {16, 43} -> - Complex[0.21100933205865569`, -0.0338211900528364], {16, - 44} -> Complex[ - 0.11114423430093813`, -0.070615153044467], {17, 18} -> - Complex[0.8226177838286826, 0.], {17, 19} -> - Complex[-0.4628811864347869, 0.03398995650383704], {17, - 20} -> Complex[-0.16284304226858476`, - 0.37837076485202586`], {17, 21} -> - Complex[0.5819149254202538, -0.1453748291300389], {17, - 22} -> Complex[ - 0.03538868677262991, -0.15172437718360862`], {17, 23} -> - Complex[0.5819149254202538, -0.1453748291300389], {17, - 24} -> Complex[ - 0.03538868677262991, -0.15172437718360862`], {17, 25} -> - Complex[-0.4628811864347869, 0.03398995650383704], {17, - 26} -> Complex[-0.16284304226858476`, - 0.37837076485202586`], {17, 27} -> - Complex[-0.3687303710508583, -0.2805809812057185], {17, - 28} -> Complex[0.8226177838286826, 0.], {17, 29} -> - Complex[-0.005406308519185013, -0.1923155305107149], {17, - 30} -> Complex[ - 0.6038715987396429, -0.13410176235407406`], {17, 31} -> - Complex[-0.285231737878617, 0.11923332261820863`], {17, - 32} -> Complex[-0.11993561442023166`, \ --0.17547153928175108`], {17, 33} -> - Complex[0.6355045742435778, 0.21145565318624404`], {17, - 34} -> Complex[-0.3929683587836577, - 0.049717383500414464`], {17, 35} -> - Complex[0.3339398475970939, 0.15997328431271962`], {17, - 36} -> Complex[0.01836995244926526, 0.1484624429717301], { - 17, 37} -> - Complex[-0.35213150811029553`, 0.004581446940964962], {17, - 38} -> Complex[-0.0010546882191990493`, - 0.4188657078206115], {17, 39} -> - Complex[0.45325964260328205`, -0.28221185233103285`], {17, - 40} -> - Complex[-0.25988577880868147`, -0.32025955513177806`], { - 17, 41} -> - Complex[0.14271885197121797`, -0.16451603870911535`], {17, - 42} -> Complex[ - 0.35677684495956996`, -0.26782996788376523`], {17, 43} -> - Complex[-0.2084122202569052, 0.00020103428177624394`], { - 17, 44} -> - Complex[0.4011342036506945, -0.08275884395276589], {18, - 19} -> Complex[-0.03295479383775109, \ --0.2657905892829302], {18, 20} -> - Complex[-0.21652607315161407`, -0.04438031043332], {18, - 21} -> Complex[-0.028900154169874605`, - 0.13017700930644915`], {18, 22} -> - Complex[0.28957213463729153`, 0.04412598324971386], {18, - 23} -> Complex[-0.028900154169874605`, - 0.13017700930644915`], {18, 24} -> - Complex[0.28957213463729153`, 0.04412598324971386], {18, - 25} -> Complex[-0.03295479383775109, \ --0.2657905892829302], {18, 26} -> - Complex[-0.21652607315161407`, -0.04438031043332], {18, - 27} -> Complex[0.6078793215741036, 0.], {18, 28} -> - Complex[-0.3687303710508583, 0.2805809812057185], {18, - 29} -> Complex[0.307309293748822, 0.12573777648869972`], { - 18, 30} -> - Complex[-0.09783202355353876, 0.205800420187774], {18, - 31} -> Complex[-0.0043849913193274165`, - 0.14245792695609336`], {18, 32} -> - Complex[-0.06851992241433469, 0.0744015573825995], {18, - 33} -> Complex[-0.46001366242443475`, \ --0.04501903103250712], {18, 34} -> - Complex[0.44801071428465117`, -0.2692922761438914], {18, - 35} -> Complex[-0.003894793002414687, \ --0.08913866560779202], {18, 36} -> - Complex[0.1420818225049802, -0.020549905336444067`], {18, - 37} -> Complex[ - 0.054106634788614424`, -0.19153336538244783`], {18, 38} -> - Complex[-0.2578313234243952, 0.008223482143912858], {18, - 39} -> Complex[-0.25297712909181935`, - 0.24121475433095296`], {18, 40} -> - Complex[0.4292561195547466, -0.1261529658539593], {18, - 41} -> Complex[-0.16369481408407635`, - 0.20495023616051494`], {18, 42} -> - Complex[0.1317222714029774, -0.021975788878054098`], {18, - 43} -> Complex[ - 0.41131977612624415`, -0.13232992191324358`], {18, 44} -> - Complex[-0.2243553137616041, 0.13100788893385992`], {19, - 20} -> Complex[0.43562184855409647`, 0.], {19, 21} -> - Complex[-0.3369744999236155, -0.29271844816622855`], {19, - 22} -> Complex[-0.24041532021506196`, \ --0.1184011853639306], {19, 23} -> - Complex[-0.3369744999236155, -0.29271844816622855`], {19, - 24} -> Complex[-0.24041532021506196`, \ --0.1184011853639306], {19, 25} -> - Complex[0.1616697000123189, 0.377583947982878], {19, 26} -> - Complex[0.43562184855409647`, 0.], {19, 27} -> - Complex[-0.21652607315161407`, 0.04438031043332], {19, - 28} -> Complex[-0.16284304226858476`, \ --0.37837076485202586`], {19, 29} -> - Complex[-0.22589711673635846`, -0.05687526412308362], {19, - 30} -> - Complex[-0.2194984593087177, -0.3316347549781254], {19, - 31} -> Complex[ - 0.3674430035252537, -0.02942988722855236], {19, 32} -> - Complex[0.030760616858804858`, 0.23538416809123017`], {19, - 33} -> - Complex[-0.14250557605474204`, -0.2063165128775194], {19, - 34} -> Complex[-0.11512173225228697`, - 0.06603202019404991], {19, 35} -> - Complex[-0.22526455556679315`, -0.2299720433182001], {19, - 36} -> Complex[ - 0.0333938099578483, -0.13285998183650485`], {19, 37} -> - Complex[0.0853534267428824, 0.2685944681825865], {19, 38} -> - Complex[0.3849695122204991, -0.1062213573260169], {19, - 39} -> Complex[-0.16708358508261859`, \ --0.0952802518296103], {19, 40} -> - Complex[-0.29051819451055283`, 0.1845802827902772], {19, - 41} -> Complex[ - 0.011086587625856487`, -0.03977734422600335], {19, 42} -> - Complex[-0.4877238013526435, 0.007955471813542392], {19, - 43} -> Complex[-0.13251183168772646`, \ --0.07292772674550725], {19, 44} -> - Complex[-0.09000982956815268, 0.0903867564752118], {20, - 21} -> Complex[-0.42325127739355767`, - 0.20956565510527553`], {20, 22} -> - Complex[-0.1948780812666511, 0.1767152316856876], {20, - 23} -> Complex[-0.42325127739355767`, - 0.20956565510527553`], {20, 24} -> - Complex[-0.1948780812666511, 0.1767152316856876], {20, - 25} -> Complex[0.4472151812462272, 0.], {20, 26} -> - Complex[0.1616697000123189, -0.377583947982878], {20, 27} -> - Complex[-0.03295479383775109, 0.2657905892829302], {20, - 28} -> Complex[-0.4628811864347869, \ --0.03398995650383704], {20, 29} -> - Complex[-0.16337863033937647`, 0.15896380516087896`], {20, - 30} -> Complex[-0.4320941387037918, - 0.12991593488691688`], {20, 31} -> - Complex[0.13352455457746898`, -0.28187182844600256`], {20, - 32} -> Complex[ - 0.18655369587288279`, 0.03316644798025127], {20, 33} -> - Complex[-0.2261801898794757, -0.0697599821374323], {20, - 34} -> Complex[ - 0.06151949272740251, 0.14597827062414853`], {20, 35} -> - Complex[-0.26920184199068836`, 0.03518514503066193], {20, - 36} -> Complex[-0.16763998959907517`, \ --0.06187718632736254], {20, 37} -> - Complex[0.3030470345876809, 0.022519062872992452`], {20, - 38} -> Complex[ - 0.04950835193514282, -0.39192964728125823`], {20, 39} -> - Complex[-0.14609298550332978`, 0.10886984234665863`], {20, - 40} -> Complex[ - 0.03370619313857502, 0.3668678320559675], {20, 41} -> - Complex[-0.0019470322311122695`, -0.006498565497976172], { - 20, 42} -> - Complex[-0.25669798623355977`, 0.3682894392044831], {20, - 43} -> Complex[-0.14592289770481853`, - 0.16407230390985175`], {20, 44} -> - Complex[-0.16724537207779577`, 0.03765174623244656], {21, - 22} -> Complex[0.24951228881406945`, 0.], {21, 23} -> - Complex[0.2012043060989246, 0.013499323207191383`], {21, - 24} -> Complex[0.24951228881406945`, 0.], {21, 25} -> - Complex[-0.1948780812666511, -0.1767152316856876], {21, - 26} -> Complex[-0.24041532021506196`, - 0.1184011853639306], {21, 27} -> - Complex[0.28957213463729153`, -0.04412598324971386], {21, - 28} -> Complex[ - 0.03538868677262991, 0.15172437718360862`], {21, 29} -> - Complex[0.21056098056343198`, 0.0010063259480176945`], { - 21, 30} -> - Complex[0.14469920882684142`, 0.08927758557149193], {21, - 31} -> Complex[-0.14083455775068546`, - 0.19707451798647965`], {21, 32} -> - Complex[-0.12865709489960156`, -0.05845882137761309], {21, - 33} -> Complex[-0.03463050797136755, - 0.0005686162402836065], {21, 34} -> - Complex[0.2100350983072742, -0.12968311623120948`], {21, - 35} -> Complex[ - 0.17642220929810848`, -0.008365816397526732], {21, 36} -> - Complex[0.11625516970040772`, 0.0444573016449614], {21, - 37} -> Complex[-0.1066773309353098, \ --0.12038972095215114`], {21, 38} -> - Complex[-0.2157400959251074, 0.14810189039274838`], {21, - 39} -> Complex[-0.03839447190915796, - 0.0785609790385338], {21, 40} -> - Complex[0.2318925306003834, -0.19656264018073483`], {21, - 41} -> Complex[-0.08725292832596576, - 0.09110106173880848], {21, 42} -> - Complex[0.24202191124971967`, -0.1824193133420845], {21, - 43} -> Complex[ - 0.3016026771798053, -0.10079527738029274`], {21, 44} -> - Complex[-0.05020246914255188, -0.08183924224939915], {22, - 23} -> Complex[0.615785434694824, 0.], {22, 24} -> - Complex[0.2012043060989246, -0.013499323207191383`], {22, - 25} -> Complex[-0.42325127739355767`, \ --0.20956565510527553`], {22, 26} -> - Complex[-0.3369744999236155, 0.29271844816622855`], {22, - 27} -> Complex[-0.028900154169874605`, \ --0.13017700930644915`], {22, 28} -> - Complex[0.5819149254202538, 0.1453748291300389], {22, 29} -> - Complex[0.1400611094476761, -0.04426166547149747], {22, - 30} -> Complex[0.5764010633854448, 0.06134795783007195], { - 22, 31} -> - Complex[-0.3706890731222189, 0.18044487919137855`], {22, - 32} -> Complex[-0.18155862358181848`, \ --0.21175025822039334`], {22, 33} -> - Complex[0.3907111567253396, 0.10268276555989041`], {22, - 34} -> Complex[-0.08480107108956837, - 0.011733274510644723`], {22, 35} -> - Complex[0.34304074287236563`, 0.14955941448349905`], {22, - 36} -> Complex[0.0773132411259754, 0.2576476349973377], { - 22, 37} -> - Complex[-0.29947000384932826`, -0.15932598599277575`], { - 22, 38} -> - Complex[-0.19902782536665659`, 0.3494630626340304], {22, - 39} -> Complex[ - 0.2828692771265636, -0.22272520744230984`], {22, 40} -> - Complex[0.05006315921831328, -0.26260266300147606`], {22, - 41} -> Complex[ - 0.030570326386135577`, -0.12759202400017805`], {22, 42} -> - Complex[0.4744609487513754, -0.20790978200823096`], {22, - 43} -> Complex[0.121035035207534, 0.15933522490880775`], { - 22, 44} -> - Complex[0.23577550381229875`, 0.007868846046102607], {23, - 24} -> Complex[0.24951228881406945`, 0.], {23, 25} -> - Complex[-0.1948780812666511, -0.1767152316856876], {23, - 26} -> Complex[-0.24041532021506196`, - 0.1184011853639306], {23, 27} -> - Complex[0.28957213463729153`, -0.04412598324971386], {23, - 28} -> Complex[ - 0.03538868677262991, 0.15172437718360862`], {23, 29} -> - Complex[0.21056098056343198`, 0.0010063259480176945`], { - 23, 30} -> - Complex[0.14469920882684142`, 0.08927758557149193], {23, - 31} -> Complex[-0.14083455775068546`, - 0.19707451798647965`], {23, 32} -> - Complex[-0.12865709489960156`, -0.05845882137761309], {23, - 33} -> Complex[-0.03463050797136755, - 0.0005686162402836065], {23, 34} -> - Complex[0.2100350983072742, -0.12968311623120948`], {23, - 35} -> Complex[ - 0.17642220929810848`, -0.008365816397526732], {23, 36} -> - Complex[0.11625516970040772`, 0.0444573016449614], {23, - 37} -> Complex[-0.1066773309353098, \ --0.12038972095215114`], {23, 38} -> - Complex[-0.2157400959251074, 0.14810189039274838`], {23, - 39} -> Complex[-0.03839447190915796, - 0.0785609790385338], {23, 40} -> - Complex[0.2318925306003834, -0.19656264018073483`], {23, - 41} -> Complex[-0.08725292832596576, - 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-0.07542778521341045], {4, 7} -> - Complex[-0.027880395040276548`, -0.022333165755832735`], {4, 8} -> - Complex[0.022359289844474148`, 0.05594243870731504], {4, 9} -> - Complex[-0.08644616482776159, 0.02912593915216866], {4, 10} -> - Complex[-0.16355189170640141`, 0.0020087730063969023`], {4, 11} -> - Complex[0.08638740713343389, 0.17434418695303155`], {4, 12} -> - Complex[-0.2314546186051366, -0.10371093144607982`], {4, 13} -> - Complex[0.07253158825046907, -0.09918291848868536], {4, 14} -> - Complex[0.05708663295773911, -0.035481827368848175`], {4, 15} -> - Complex[-0.09640011973456236, -0.13730072302174962`], {4, 16} -> - Complex[0.08011310849505847, 0.15416886768894952`], {4, 17} -> - Complex[-0.16369481408407635`, -0.20495023616051494`], {4, 18} -> - Complex[0.14271885197121797`, 0.16451603870911535`], {4, 19} -> - Complex[-0.0019470322311122695`, 0.006498565497976172], {4, 20} -> - Complex[0.011086587625856487`, 0.03977734422600335], {4, 21} -> - Complex[0.030570326386135577`, 0.12759202400017805`], {4, 22} -> - Complex[-0.08725292832596576, -0.09110106173880848], {4, 23} -> - Complex[0.030570326386135577`, 0.12759202400017805`], {4, 24} -> - Complex[-0.08725292832596576, -0.09110106173880848], {4, 25} -> - Complex[-0.0019470322311122695`, 0.006498565497976172], {4, 26} -> - Complex[0.011086587625856487`, 0.03977734422600335], {4, 27} -> - Complex[-0.16369481408407635`, -0.20495023616051494`], {4, 28} -> - Complex[0.14271885197121797`, 0.16451603870911535`], {4, 29} -> - Complex[-0.09640011973456236, -0.13730072302174962`], {4, 30} -> - Complex[0.08011310849505847, 0.15416886768894952`], {4, 31} -> - Complex[0.07253158825046907, -0.09918291848868536], {4, 32} -> - Complex[0.05708663295773911, -0.035481827368848175`], {4, 33} -> - Complex[0.08638740713343389, 0.17434418695303155`], {4, 34} -> - Complex[-0.2314546186051366, -0.10371093144607982`], {4, 35} -> - Complex[-0.08644616482776159, 0.02912593915216866], {4, 36} -> - Complex[-0.16355189170640141`, 0.0020087730063969023`], {4, 37} -> - Complex[-0.027880395040276548`, -0.022333165755832735`], {4, 38} -> - Complex[0.022359289844474148`, 0.05594243870731504], {4, 39} -> - Complex[0.24996097903041953`, 0.06915690707552657], {4, 40} -> - Complex[-0.16085487116109506`, -0.07542778521341045], {4, 41} -> - Complex[0.2057354620590642, 0.], {4, 42} -> - Complex[-0.1228672216943828, 0.04409897699884402], {4, 43} -> - Complex[-0.26324874492522643`, -0.03930416302816894], {4, 44} -> - Complex[-0.09549084351775722, 0.1338032683415449], {5, 6} -> - Complex[0.468967993475222, 0.], {5, 7} -> - Complex[0.05878770379884127, -0.22658992563855607`], {5, 8} -> - Complex[-0.34981732611662325`, -0.11696760053686867`], {5, 9} -> - Complex[0.009374693569077844, 0.15977491506986388`], {5, 10} -> - Complex[0.08962504736031421, 0.07047087465677605], {5, 11} -> - Complex[-0.27009710197247705`, 0.09683696616535195], {5, 12} -> - Complex[0.336844195579561, -0.07854946929481876], {5, 13} -> - Complex[-0.1819302056638001, -0.03832842256630628], {5, 14} -> - Complex[-0.0011166380242527973`, -0.07436247657447947], {5, 15} -> - Complex[0.21950094015099447`, 0.20337016113487644`], {5, 16} -> - Complex[-0.029524381219098658`, 0.27058433189071296`], {5, 17} -> - Complex[0.4292561195547466, 0.1261529658539593], {5, 18} -> - Complex[-0.25988577880868147`, 0.32025955513177806`], {5, 19} -> - Complex[0.03370619313857502, -0.3668678320559675], {5, 20} -> - Complex[-0.29051819451055283`, -0.1845802827902772], {5, 21} -> - Complex[0.05006315921831328, 0.26260266300147606`], {5, 22} -> - Complex[0.2318925306003834, 0.19656264018073483`], {5, 23} -> - Complex[0.05006315921831328, 0.26260266300147606`], {5, 24} -> - Complex[0.2318925306003834, 0.19656264018073483`], {5, 25} -> - Complex[0.03370619313857502, -0.3668678320559675], {5, 26} -> - Complex[-0.29051819451055283`, -0.1845802827902772], {5, 27} -> - Complex[0.4292561195547466, 0.1261529658539593], {5, 28} -> - Complex[-0.25988577880868147`, 0.32025955513177806`], {5, 29} -> - Complex[0.21950094015099447`, 0.20337016113487644`], {5, 30} -> - Complex[-0.029524381219098658`, 0.27058433189071296`], {5, 31} -> - Complex[-0.1819302056638001, -0.03832842256630628], {5, 32} -> - Complex[-0.0011166380242527973`, -0.07436247657447947], {5, 33} -> - Complex[-0.27009710197247705`, 0.09683696616535195], {5, 34} -> - Complex[0.336844195579561, -0.07854946929481876], {5, 35} -> - Complex[0.009374693569077844, 0.15977491506986388`], {5, 36} -> - Complex[0.08962504736031421, 0.07047087465677605], {5, 37} -> - Complex[0.05878770379884127, -0.22658992563855607`], {5, 38} -> - Complex[-0.34981732611662325`, -0.11696760053686867`], {5, 39} -> - Complex[-0.1615086931185547, 0.2038837036292387], {5, 40} -> - Complex[0.468967993475222, 0.], {5, 41} -> - Complex[-0.16085487116109506`, 0.07542778521341045], {5, 42} -> - Complex[0.2974065306304634, 0.1879536683021757], {5, 43} -> - Complex[0.4199586015679177, 0.005857444943267762], {5, 44} -> - Complex[0.02499085543716096, 0.07549372038404914], {6, 7} -> - Complex[-0.10463685944321956`, -0.07511789469324247], {6, 8} -> - Complex[-0.12205487501450044`, 0.20289574844353508`], {6, 9} -> - Complex[0.09702226222507297, 0.22133024046114783`], {6, 10} -> - Complex[-0.20427899641694272`, 0.07412556370526623], {6, 11} -> - Complex[0.3968568746645965, 0.3179542352133835], {6, 12} -> - Complex[-0.3491533250344545, -0.03996336991178122], {6, 13} -> - Complex[-0.1609340029528849, -0.14622439757739267`], {6, 14} -> - Complex[0.02734387279170107, -0.15732878597712807`], {6, 15} -> - Complex[-0.09481874255295673, -0.10031131935700385`], {6, 16} -> - Complex[0.31083656874000754`, 0.20480433581617183`], {6, 17} -> - Complex[-0.25297712909181935`, -0.24121475433095296`], {6, 18} -> - Complex[0.45325964260328205`, 0.28221185233103285`], {6, 19} -> - Complex[-0.14609298550332978`, -0.10886984234665863`], {6, 20} -> - Complex[-0.16708358508261859`, 0.0952802518296103], {6, 21} -> - Complex[0.2828692771265636, 0.22272520744230984`], {6, 22} -> - Complex[-0.03839447190915796, -0.0785609790385338], {6, 23} -> - Complex[0.2828692771265636, 0.22272520744230984`], {6, 24} -> - Complex[-0.03839447190915796, -0.0785609790385338], {6, 25} -> - Complex[-0.14609298550332978`, -0.10886984234665863`], {6, 26} -> - Complex[-0.16708358508261859`, 0.0952802518296103], {6, 27} -> - Complex[-0.25297712909181935`, -0.24121475433095296`], {6, 28} -> - Complex[0.45325964260328205`, 0.28221185233103285`], {6, 29} -> - Complex[-0.09481874255295673, -0.10031131935700385`], {6, 30} -> - Complex[0.31083656874000754`, 0.20480433581617183`], {6, 31} -> - Complex[-0.1609340029528849, -0.14622439757739267`], {6, 32} -> - Complex[0.02734387279170107, -0.15732878597712807`], {6, 33} -> - Complex[0.3968568746645965, 0.3179542352133835], {6, 34} -> - Complex[-0.3491533250344545, -0.03996336991178122], {6, 35} -> - Complex[0.09702226222507297, 0.22133024046114783`], {6, 36} -> - Complex[-0.20427899641694272`, 0.07412556370526623], {6, 37} -> - Complex[-0.10463685944321956`, -0.07511789469324247], {6, 38} -> - Complex[-0.12205487501450044`, 0.20289574844353508`], {6, 39} -> - Complex[0.5310320065247784, 0.], {6, 40} -> - Complex[-0.1615086931185547, -0.2038837036292387], {6, 41} -> - Complex[0.24996097903041953`, -0.06915690707552657], {6, 42} -> - Complex[0.16085487116109504`, 0.07542778521341045], {6, 43} -> - Complex[-0.45109358752254786`, -0.09460162479535734], {6, 44} -> - Complex[0.06898434080010694, 0.09215296359165348], {7, 8} -> - Complex[0.40722091172603664`, 0.], {7, 9} -> - Complex[-0.11182389060304421`, -0.25265368675817396`], {7, 10} -> - Complex[0.037776510481617454`, -0.09367396801112708], {7, 11} -> - Complex[-0.01419351798580596, -0.23202353736641174`], {7, 12} -> - Complex[-0.14788859535778534`, 0.07700626795012017], {7, 13} -> - Complex[0.28236460239168537`, 0.06515002989777242], {7, 14} -> - Complex[-0.000017190129231528517`, 0.1919850410618445], {7, 15} -> - Complex[-0.16663539437880773`, -0.10437706201084027`], {7, 16} -> - Complex[-0.11579180416428306`, -0.3654825088637898], {7, 17} -> - Complex[-0.2578313234243952, -0.008223482143912858], {7, 18} -> - Complex[-0.0010546882191990493`, -0.4188657078206115], {7, 19} -> - Complex[0.04950835193514282, 0.39192964728125823`], {7, 20} -> - Complex[0.3849695122204991, 0.1062213573260169], {7, 21} -> - Complex[-0.19902782536665659`, -0.3494630626340304], {7, 22} -> - Complex[-0.2157400959251074, -0.14810189039274838`], {7, 23} -> - Complex[-0.19902782536665659`, -0.3494630626340304], {7, 24} -> - Complex[-0.2157400959251074, -0.14810189039274838`], {7, 25} -> - Complex[0.04950835193514282, 0.39192964728125823`], {7, 26} -> - Complex[0.3849695122204991, 0.1062213573260169], {7, 27} -> - Complex[-0.2578313234243952, -0.008223482143912858], {7, 28} -> - Complex[-0.0010546882191990493`, -0.4188657078206115], {7, 29} -> - Complex[-0.16663539437880773`, -0.10437706201084027`], {7, 30} -> - Complex[-0.11579180416428306`, -0.3654825088637898], {7, 31} -> - Complex[0.28236460239168537`, 0.06515002989777242], {7, 32} -> - Complex[-0.000017190129231528517`, 0.1919850410618445], {7, 33} -> - Complex[-0.01419351798580596, -0.23202353736641174`], {7, 34} -> - Complex[-0.14788859535778534`, 0.07700626795012017], {7, 35} -> - Complex[-0.11182389060304421`, -0.25265368675817396`], {7, 36} -> - Complex[0.037776510481617454`, -0.09367396801112708], {7, 37} -> - Complex[0.010402704038078874`, 0.24698236535710935`], {7, 38} -> - Complex[0.40722091172603664`, 0.], {7, 39} -> - Complex[-0.12205487501450044`, -0.20289574844353508`], {7, 40} -> - Complex[-0.34981732611662325`, 0.11696760053686867`], {7, 41} -> - Complex[0.022359289844474148`, -0.05594243870731504], {7, 42} -> - Complex[-0.38111102023432214`, -0.1362923217488655], {7, 43} -> - Complex[-0.17438166315534948`, 0.03950929068321911], {7, 44} -> - Complex[-0.025669162689525127`, 0.01601380409712927], {8, 9} -> - Complex[-0.15753135165944274`, 0.015530037395122431`], {8, 10} -> - Complex[-0.10764128844166919`, -0.06170068553810148], {8, 11} -> - Complex[-0.18342661221059317`, -0.0691351893734958], {8, 12} -> - Complex[0.09808243309028082, 0.08309117318181813], {8, 13} -> - Complex[0.07074686751407203, -0.1846815194029794], {8, 14} -> - Complex[0.12729567759922444`, 0.0474240351088444], {8, 15} -> - Complex[-0.06799939323987887, 0.15542062808459078`], {8, 16} -> - Complex[-0.3260753449894908, 0.09076864462541498], {8, 17} -> - Complex[0.054106634788614424`, 0.19153336538244783`], {8, 18} -> - Complex[-0.35213150811029553`, -0.004581446940964962], {8, 19} -> - Complex[0.3030470345876809, -0.022519062872992452`], {8, 20} -> - Complex[0.0853534267428824, -0.2685944681825865], {8, 21} -> - Complex[-0.29947000384932826`, 0.15932598599277575`], {8, 22} -> - Complex[-0.1066773309353098, 0.12038972095215114`], {8, 23} -> - Complex[-0.29947000384932826`, 0.15932598599277575`], {8, 24} -> - Complex[-0.1066773309353098, 0.12038972095215114`], {8, 25} -> - Complex[0.3030470345876809, -0.022519062872992452`], {8, 26} -> - Complex[0.0853534267428824, -0.2685944681825865], {8, 27} -> - Complex[0.054106634788614424`, 0.19153336538244783`], {8, 28} -> - Complex[-0.35213150811029553`, -0.004581446940964962], {8, 29} -> - Complex[-0.06799939323987887, 0.15542062808459078`], {8, 30} -> - Complex[-0.3260753449894908, 0.09076864462541498], {8, 31} -> - Complex[0.07074686751407203, -0.1846815194029794], {8, 32} -> - Complex[0.12729567759922444`, 0.0474240351088444], {8, 33} -> - Complex[-0.18342661221059317`, -0.0691351893734958], {8, 34} -> - Complex[0.09808243309028082, 0.08309117318181813], {8, 35} -> - Complex[-0.15753135165944274`, 0.015530037395122431`], {8, 36} -> - Complex[-0.10764128844166919`, -0.06170068553810148], {8, 37} -> - Complex[0.23794441743992187`, 0.], {8, 38} -> - Complex[0.010402704038078874`, -0.24698236535710935`], {8, 39} -> - Complex[-0.10463685944321956`, 0.07511789469324247], {8, 40} -> - Complex[0.05878770379884127, 0.22658992563855607`], {8, 41} -> - Complex[-0.027880395040276548`, 0.022333165755832735`], {8, 42} -> - Complex[-0.13014881358492147`, 0.2568379516702825], {8, 43} -> - Complex[-0.15170199807896514`, 0.08485524070787617], {8, 44} -> - Complex[-0.13039638629884198`, 0.034128661373563796`], {9, 10} -> - Complex[0.25196673625598803`, 0.], {9, 11} -> - Complex[-0.10288428074555514`, -0.11276794141596694`], {9, 12} -> - Complex[0.14071347978647328`, -0.02565787631307584], {9, 13} -> - Complex[0.02273034207641774, 0.17980351945521167`], {9, 14} -> - Complex[-0.12743791707027466`, 0.10129786140711028`], {9, 15} -> - Complex[0.09733875051643903, 0.02252167088462168], {9, 16} -> - Complex[0.10291125338889108`, -0.24223763722943603`], {9, 17} -> - Complex[0.1420818225049802, 0.020549905336444067`], {9, 18} -> - Complex[0.01836995244926526, -0.1484624429717301], {9, 19} -> - Complex[-0.16763998959907517`, 0.06187718632736254], {9, 20} -> - Complex[0.0333938099578483, 0.13285998183650485`], {9, 21} -> - Complex[0.0773132411259754, -0.2576476349973377], {9, 22} -> - Complex[0.11625516970040772`, -0.0444573016449614], {9, 23} -> - Complex[0.0773132411259754, -0.2576476349973377], {9, 24} -> - Complex[0.11625516970040772`, -0.0444573016449614], {9, 25} -> - Complex[-0.16763998959907517`, 0.06187718632736254], {9, 26} -> - Complex[0.0333938099578483, 0.13285998183650485`], {9, 27} -> - Complex[0.1420818225049802, 0.020549905336444067`], {9, 28} -> - Complex[0.01836995244926526, -0.1484624429717301], {9, 29} -> - Complex[0.09733875051643903, 0.02252167088462168], {9, 30} -> - Complex[0.10291125338889108`, -0.24223763722943603`], {9, 31} -> - Complex[0.02273034207641774, 0.17980351945521167`], {9, 32} -> - Complex[-0.12743791707027466`, 0.10129786140711028`], {9, 33} -> - Complex[-0.10288428074555514`, -0.11276794141596694`], {9, 34} -> - Complex[0.14071347978647328`, -0.02565787631307584], {9, 35} -> - Complex[0.06900560553474475, -0.09147719506750722], {9, 36} -> - Complex[0.25196673625598803`, 0.], {9, 37} -> - Complex[-0.10764128844166919`, 0.06170068553810148], {9, 38} -> - Complex[0.037776510481617454`, 0.09367396801112708], {9, 39} -> - Complex[-0.20427899641694272`, -0.07412556370526623], {9, 40} -> - Complex[0.08962504736031421, -0.07047087465677605], {9, 41} -> - Complex[-0.16355189170640141`, -0.0020087730063969023`], {9, 42} -> - Complex[0.054844360699783046`, -0.14881405380941012`], {9, 43} -> - Complex[0.3515392968529229, -0.1183042407887405], {9, 44} -> - Complex[0.1303218739406829, 0.013372910644229352`], {10, 11} -> - Complex[0.4234517136865772, -0.17382859154523886`], {10, 12} -> - Complex[0.08297996191121794, 0.14731977594965492`], {10, 13} -> - Complex[-0.3267580701610388, 0.2909584163641271], {10, 14} -> - Complex[-0.1864696256262259, -0.16562554341192864`], {10, 15} -> - Complex[0.12752255814459348`, -0.01058258297182084], {10, 16} -> - Complex[0.23082108426859382`, -0.1151631361820325], {10, 17} -> - Complex[-0.003894793002414687, 0.08913866560779202], {10, 18} -> - Complex[0.3339398475970939, -0.15997328431271962`], {10, 19} -> - Complex[-0.26920184199068836`, -0.03518514503066193], {10, 20} -> - Complex[-0.22526455556679315`, 0.2299720433182001], {10, 21} -> - Complex[0.34304074287236563`, -0.14955941448349905`], {10, 22} -> - Complex[0.17642220929810848`, 0.008365816397526732], {10, 23} -> - Complex[0.34304074287236563`, -0.14955941448349905`], {10, 24} -> - Complex[0.17642220929810848`, 0.008365816397526732], {10, 25} -> - Complex[-0.26920184199068836`, -0.03518514503066193], {10, 26} -> - Complex[-0.22526455556679315`, 0.2299720433182001], {10, 27} -> - Complex[-0.003894793002414687, 0.08913866560779202], {10, 28} -> - Complex[0.3339398475970939, -0.15997328431271962`], {10, 29} -> - Complex[0.12752255814459348`, -0.01058258297182084], {10, 30} -> - Complex[0.23082108426859382`, -0.1151631361820325], {10, 31} -> - Complex[-0.3267580701610388, 0.2909584163641271], {10, 32} -> - Complex[-0.1864696256262259, -0.16562554341192864`], {10, 33} -> - Complex[0.4234517136865772, -0.17382859154523886`], {10, 34} -> - Complex[0.08297996191121794, 0.14731977594965492`], {10, 35} -> - Complex[0.43857566553537836`, 0.], {10, 36} -> - Complex[0.06900560553474475, 0.09147719506750722], {10, 37} -> - Complex[-0.15753135165944274`, -0.015530037395122431`], {10, 38} -> - Complex[-0.11182389060304421`, 0.25265368675817396`], {10, 39} -> - Complex[0.09702226222507297, -0.22133024046114783`], {10, 40} -> - Complex[0.009374693569077844, -0.15977491506986388`], {10, 41} -> - Complex[-0.08644616482776159, -0.02912593915216866], {10, 42} -> - Complex[0.379622482561638, -0.37763535611646337`], {10, 43} -> - Complex[0.02713104019918751, 0.08552834190809729], {10, 44} -> - Complex[0.061769134612388144`, -0.4327409797306362], {11, 12} -> - Complex[0.47847656274123934`, 0.], {11, 13} -> - Complex[-0.04614471842445865, 0.2012403202344506], {11, 14} -> - Complex[-0.11825712208599867`, 0.03281527611416887], {11, 15} -> - Complex[0.19273536111508338`, 0.17960309701589544`], {11, 16} -> - Complex[-0.18153329267644502`, 0.04101286407624916], {11, 17} -> - Complex[0.44801071428465117`, 0.2692922761438914], {11, 18} -> - Complex[-0.3929683587836577, -0.049717383500414464`], {11, 19} -> - Complex[0.06151949272740251, -0.14597827062414853`], {11, 20} -> - Complex[-0.11512173225228697`, -0.06603202019404991], {11, 21} -> - Complex[-0.08480107108956837, -0.011733274510644723`], {11, 22} -> - Complex[0.2100350983072742, 0.12968311623120948`], {11, 23} -> - Complex[-0.08480107108956837, -0.011733274510644723`], {11, 24} -> - Complex[0.2100350983072742, 0.12968311623120948`], {11, 25} -> - Complex[0.06151949272740251, -0.14597827062414853`], {11, 26} -> - Complex[-0.11512173225228697`, -0.06603202019404991], {11, 27} -> - Complex[0.44801071428465117`, 0.2692922761438914], {11, 28} -> - Complex[-0.3929683587836577, -0.049717383500414464`], {11, 29} -> - Complex[0.19273536111508338`, 0.17960309701589544`], {11, 30} -> - Complex[-0.18153329267644502`, 0.04101286407624916], {11, 31} -> - Complex[-0.04614471842445865, 0.2012403202344506], {11, 32} -> - Complex[-0.11825712208599867`, 0.03281527611416887], {11, 33} -> - Complex[-0.2995258955811395, -0.31724225693749325`], {11, 34} -> - Complex[0.47847656274123934`, 0.], {11, 35} -> - Complex[0.08297996191121794, -0.14731977594965492`], {11, 36} -> - Complex[0.14071347978647328`, 0.02565787631307584], {11, 37} -> - Complex[0.09808243309028082, -0.08309117318181813], {11, 38} -> - Complex[-0.14788859535778534`, -0.07700626795012017], {11, 39} -> - Complex[-0.3491533250344545, 0.03996336991178122], {11, 40} -> - Complex[0.336844195579561, 0.07854946929481876], {11, 41} -> - Complex[-0.2314546186051366, 0.10371093144607982`], {11, 42} -> - Complex[0.07987741073093885, -0.09325674519337618], {11, 43} -> - Complex[0.4055612310928953, 0.08934959360815586], {11, 44} -> - Complex[-0.26307950478543923`, -0.1141036247953411], {12, 13} -> - Complex[-0.3741286789371999, 0.08815664694864397], {12, 14} -> - Complex[-0.0895373655226468, -0.2726390562042197], {12, 15} -> - Complex[-0.10619283788354225`, -0.09442620281597475], {12, 16} -> - Complex[0.32708256838048577`, -0.13908395997171136`], {12, 17} -> - Complex[-0.46001366242443475`, 0.04501903103250712], {12, 18} -> - Complex[0.6355045742435778, -0.21145565318624404`], {12, 19} -> - Complex[-0.2261801898794757, 0.0697599821374323], {12, 20} -> - Complex[-0.14250557605474204`, 0.2063165128775194], {12, 21} -> - Complex[0.3907111567253396, -0.10268276555989041`], {12, 22} -> - Complex[-0.03463050797136755, -0.0005686162402836065], {12, 23} -> - Complex[0.3907111567253396, -0.10268276555989041`], {12, 24} -> - Complex[-0.03463050797136755, -0.0005686162402836065], {12, 25} -> - Complex[-0.2261801898794757, 0.0697599821374323], {12, 26} -> - Complex[-0.14250557605474204`, 0.2063165128775194], {12, 27} -> - Complex[-0.46001366242443475`, 0.04501903103250712], {12, 28} -> - Complex[0.6355045742435778, -0.21145565318624404`], {12, 29} -> - Complex[-0.10619283788354225`, -0.09442620281597475], {12, 30} -> - Complex[0.32708256838048577`, -0.13908395997171136`], {12, 31} -> - Complex[-0.3741286789371999, 0.08815664694864397], {12, 32} -> - Complex[-0.0895373655226468, -0.2726390562042197], {12, 33} -> - Complex[0.7967874310583581, 0.], {12, 34} -> - Complex[-0.2995258955811395, 0.31724225693749325`], {12, 35} -> - Complex[0.4234517136865772, 0.17382859154523886`], {12, 36} -> - Complex[-0.10288428074555514`, 0.11276794141596694`], {12, 37} -> - Complex[-0.18342661221059317`, 0.0691351893734958], {12, 38} -> - Complex[-0.01419351798580596, 0.23202353736641174`], {12, 39} -> - Complex[0.3968568746645965, -0.3179542352133835], {12, 40} -> - Complex[-0.27009710197247705`, -0.09683696616535195], {12, 41} -> - Complex[0.08638740713343389, -0.17434418695303155`], {12, 42} -> - Complex[0.34476738289430997`, -0.2555576049300379], {12, 43} -> - Complex[-0.3528482206005182, 0.13773954600162294`], {12, 44} -> - Complex[0.2510790597533612, -0.48812162559983474`], {13, 14} -> - Complex[0.23765539643867975`, 0.], {13, 15} -> - Complex[-0.01114356571997462, 0.027664002308237984`], {13, 16} -> - Complex[-0.19358892550608142`, 0.1309226927016317], {13, 17} -> - Complex[-0.06851992241433469, -0.0744015573825995], {13, 18} -> - Complex[-0.11993561442023166`, 0.17547153928175108`], {13, 19} -> - Complex[0.18655369587288279`, -0.03316644798025127], {13, 20} -> - Complex[0.030760616858804858`, -0.23538416809123017`], {13, 21} -> - Complex[-0.18155862358181848`, 0.21175025822039334`], {13, 22} -> - Complex[-0.12865709489960156`, 0.05845882137761309], {13, 23} -> - Complex[-0.18155862358181848`, 0.21175025822039334`], {13, 24} -> - Complex[-0.12865709489960156`, 0.05845882137761309], {13, 25} -> - Complex[0.18655369587288279`, -0.03316644798025127], {13, 26} -> - Complex[0.030760616858804858`, -0.23538416809123017`], {13, 27} -> - Complex[-0.06851992241433469, -0.0744015573825995], {13, 28} -> - Complex[-0.11993561442023166`, 0.17547153928175108`], {13, 29} -> - Complex[-0.01114356571997462, 0.027664002308237984`], {13, 30} -> - Complex[-0.19358892550608142`, 0.1309226927016317], {13, 31} -> - Complex[0.02230195983430227, -0.2772501264695485], {13, 32} -> - Complex[0.23765539643867975`, 0.], {13, 33} -> - Complex[-0.0895373655226468, 0.2726390562042197], {13, 34} -> - Complex[-0.11825712208599867`, -0.03281527611416887], {13, 35} -> - Complex[-0.1864696256262259, 0.16562554341192864`], {13, 36} -> - Complex[-0.12743791707027466`, -0.10129786140711028`], {13, 37} -> - Complex[0.12729567759922444`, -0.0474240351088444], {13, 38} -> - Complex[-0.000017190129231528517`, -0.1919850410618445], {13, 39} -> - Complex[0.02734387279170107, 0.15732878597712807`], {13, 40} -> - Complex[-0.0011166380242527973`, 0.07436247657447947], {13, 41} -> - Complex[0.05708663295773911, 0.035481827368848175`], {13, 42} -> - Complex[-0.00017138517387816493`, 0.2782657630841046], {13, 43} -> - Complex[-0.20560310592993947`, 0.0017739749319820586`], {13, 44} -> - Complex[0.19966066214556275`, 0.07718245548597671], {14, 15} -> - Complex[-0.1434740078467142, -0.14249005754771799`], {14, 16} -> - Complex[-0.22606462874900565`, -0.1399133548131939], {14, 17} -> - Complex[-0.0043849913193274165`, -0.14245792695609336`], {14, 18} -> - Complex[-0.285231737878617, -0.11923332261820863`], {14, 19} -> - Complex[0.13352455457746898`, 0.28187182844600256`], {14, 20} -> - Complex[0.3674430035252537, 0.02942988722855236], {14, 21} -> - Complex[-0.3706890731222189, -0.18044487919137855`], {14, 22} -> - Complex[-0.14083455775068546`, -0.19707451798647965`], {14, 23} -> - Complex[-0.3706890731222189, -0.18044487919137855`], {14, 24} -> - Complex[-0.14083455775068546`, -0.19707451798647965`], {14, 25} -> - Complex[0.13352455457746898`, 0.28187182844600256`], {14, 26} -> - Complex[0.3674430035252537, 0.02942988722855236], {14, 27} -> - Complex[-0.0043849913193274165`, -0.14245792695609336`], {14, 28} -> - Complex[-0.285231737878617, -0.11923332261820863`], {14, 29} -> - Complex[-0.1434740078467142, -0.14249005754771799`], {14, 30} -> - Complex[-0.22606462874900565`, -0.1399133548131939], {14, 31} -> - Complex[0.4906588842328401, 0.], {14, 32} -> - Complex[0.02230195983430227, 0.2772501264695485], {14, 33} -> - Complex[-0.3741286789371999, -0.08815664694864397], {14, 34} -> - Complex[-0.04614471842445865, -0.2012403202344506], {14, 35} -> - Complex[-0.3267580701610388, -0.2909584163641271], {14, 36} -> - Complex[0.02273034207641774, -0.17980351945521167`], {14, 37} -> - Complex[0.07074686751407203, 0.1846815194029794], {14, 38} -> - Complex[0.28236460239168537`, -0.06515002989777242], {14, 39} -> - Complex[-0.1609340029528849, 0.14622439757739267`], {14, 40} -> - Complex[-0.1819302056638001, 0.03832842256630628], {14, 41} -> - Complex[0.07253158825046907, 0.09918291848868536], {14, 42} -> - Complex[-0.5832263376040618, -0.009064309617321076], {14, 43} -> - Complex[-0.013262976685837952`, -0.27747406999082147`], {14, 44} -> - Complex[-0.30526343247770915`, 0.24598488074984254`], {15, 16} -> - Complex[0.6239172945486772, 0.], {15, 17} -> - Complex[-0.09783202355353876, -0.205800420187774], {15, 18} -> - Complex[0.6038715987396429, 0.13410176235407406`], {15, 19} -> - Complex[-0.4320941387037918, -0.12991593488691688`], {15, 20} -> - Complex[-0.2194984593087177, 0.3316347549781254], {15, 21} -> - Complex[0.5764010633854448, -0.06134795783007195], {15, 22} -> - Complex[0.14469920882684142`, -0.08927758557149193], {15, 23} -> - Complex[0.5764010633854448, -0.06134795783007195], {15, 24} -> - Complex[0.14469920882684142`, -0.08927758557149193], {15, 25} -> - Complex[-0.4320941387037918, -0.12991593488691688`], {15, 26} -> - Complex[-0.2194984593087177, 0.3316347549781254], {15, 27} -> - Complex[-0.09783202355353876, -0.205800420187774], {15, 28} -> - Complex[0.6038715987396429, 0.13410176235407406`], {15, 29} -> - Complex[0.04520966568846207, -0.09180189043755807], {15, 30} -> - Complex[0.6239172945486772, 0.], {15, 31} -> - Complex[-0.22606462874900565`, 0.1399133548131939], {15, 32} -> - Complex[-0.19358892550608142`, -0.1309226927016317], {15, 33} -> - Complex[0.32708256838048577`, 0.13908395997171136`], {15, 34} -> - Complex[-0.18153329267644502`, -0.04101286407624916], {15, 35} -> - Complex[0.23082108426859382`, 0.1151631361820325], {15, 36} -> - Complex[0.10291125338889108`, 0.24223763722943603`], {15, 37} -> - Complex[-0.3260753449894908, -0.09076864462541498], {15, 38} -> - Complex[-0.11579180416428306`, 0.3654825088637898], {15, 39} -> - Complex[0.31083656874000754`, -0.20480433581617183`], {15, 40} -> - Complex[-0.029524381219098658`, -0.27058433189071296`], {15, 41} -> - Complex[0.08011310849505847, -0.15416886768894952`], {15, 42} -> - Complex[0.3032958359848409, -0.155571682390279], {15, 43} -> - Complex[0.12154323489501183`, 0.0314843880544678], {15, 44} -> - Complex[0.21413154936334694`, 0.18298303659642504`], {16, 17} -> - Complex[0.307309293748822, -0.12573777648869972`], {16, 18} -> - Complex[-0.005406308519185013, 0.1923155305107149], {16, 19} -> - Complex[-0.16337863033937647`, -0.15896380516087896`], {16, 20} -> - Complex[-0.22589711673635846`, 0.05687526412308362], {16, 21} -> - Complex[0.1400611094476761, 0.04426166547149747], {16, 22} -> - Complex[0.21056098056343198`, -0.0010063259480176945`], {16, 23} -> - Complex[0.1400611094476761, 0.04426166547149747], {16, 24} -> - Complex[0.21056098056343198`, -0.0010063259480176945`], {16, 25} -> - Complex[-0.16337863033937647`, -0.15896380516087896`], {16, 26} -> - Complex[-0.22589711673635846`, 0.05687526412308362], {16, 27} -> - Complex[0.307309293748822, -0.12573777648869972`], {16, 28} -> - Complex[-0.005406308519185013, 0.1923155305107149], {16, 29} -> - Complex[0.2999888691706436, 0.], {16, 30} -> - Complex[0.04520966568846207, 0.09180189043755807], {16, 31} -> - Complex[-0.1434740078467142, 0.14249005754771799`], {16, 32} -> - Complex[-0.01114356571997462, -0.027664002308237984`], {16, 33} -> - Complex[-0.10619283788354225`, 0.09442620281597475], {16, 34} -> - Complex[0.19273536111508338`, -0.17960309701589544`], {16, 35} -> - Complex[0.12752255814459348`, 0.01058258297182084], {16, 36} -> - Complex[0.09733875051643903, -0.02252167088462168], {16, 37} -> - Complex[-0.06799939323987887, -0.15542062808459078`], {16, 38} -> - Complex[-0.16663539437880773`, 0.10437706201084027`], {16, 39} -> - Complex[-0.09481874255295673, 0.10031131935700385`], {16, 40} -> - Complex[0.21950094015099447`, -0.20337016113487644`], {16, 41} -> - Complex[-0.09640011973456236, 0.13730072302174962`], {16, 42} -> - Complex[0.29615037375733383`, -0.1520353321758059], {16, 43} -> - Complex[0.21100933205865569`, -0.0338211900528364], {16, 44} -> - Complex[0.11114423430093813`, -0.070615153044467], {17, 18} -> - Complex[0.8226177838286826, 0.], {17, 19} -> - Complex[-0.4628811864347869, 0.03398995650383704], {17, 20} -> - Complex[-0.16284304226858476`, 0.37837076485202586`], {17, 21} -> - Complex[0.5819149254202538, -0.1453748291300389], {17, 22} -> - Complex[0.03538868677262991, -0.15172437718360862`], {17, 23} -> - Complex[0.5819149254202538, -0.1453748291300389], {17, 24} -> - Complex[0.03538868677262991, -0.15172437718360862`], {17, 25} -> - Complex[-0.4628811864347869, 0.03398995650383704], {17, 26} -> - Complex[-0.16284304226858476`, 0.37837076485202586`], {17, 27} -> - Complex[-0.3687303710508583, -0.2805809812057185], {17, 28} -> - Complex[0.8226177838286826, 0.], {17, 29} -> - Complex[-0.005406308519185013, -0.1923155305107149], {17, 30} -> - Complex[0.6038715987396429, -0.13410176235407406`], {17, 31} -> - Complex[-0.285231737878617, 0.11923332261820863`], {17, 32} -> - Complex[-0.11993561442023166`, -0.17547153928175108`], {17, 33} -> - Complex[0.6355045742435778, 0.21145565318624404`], {17, 34} -> - Complex[-0.3929683587836577, 0.049717383500414464`], {17, 35} -> - Complex[0.3339398475970939, 0.15997328431271962`], {17, 36} -> - Complex[0.01836995244926526, 0.1484624429717301], {17, 37} -> - Complex[-0.35213150811029553`, 0.004581446940964962], {17, 38} -> - Complex[-0.0010546882191990493`, 0.4188657078206115], {17, 39} -> - Complex[0.45325964260328205`, -0.28221185233103285`], {17, 40} -> - Complex[-0.25988577880868147`, -0.32025955513177806`], {17, 41} -> - Complex[0.14271885197121797`, -0.16451603870911535`], {17, 42} -> - Complex[0.35677684495956996`, -0.26782996788376523`], {17, 43} -> - Complex[-0.2084122202569052, 0.00020103428177624394`], {17, 44} -> - Complex[0.4011342036506945, -0.08275884395276589], {18, 19} -> - Complex[-0.03295479383775109, -0.2657905892829302], {18, 20} -> - Complex[-0.21652607315161407`, -0.04438031043332], {18, 21} -> - Complex[-0.028900154169874605`, 0.13017700930644915`], {18, 22} -> - Complex[0.28957213463729153`, 0.04412598324971386], {18, 23} -> - Complex[-0.028900154169874605`, 0.13017700930644915`], {18, 24} -> - Complex[0.28957213463729153`, 0.04412598324971386], {18, 25} -> - Complex[-0.03295479383775109, -0.2657905892829302], {18, 26} -> - Complex[-0.21652607315161407`, -0.04438031043332], {18, 27} -> - Complex[0.6078793215741036, 0.], {18, 28} -> - Complex[-0.3687303710508583, 0.2805809812057185], {18, 29} -> - Complex[0.307309293748822, 0.12573777648869972`], {18, 30} -> - Complex[-0.09783202355353876, 0.205800420187774], {18, 31} -> - Complex[-0.0043849913193274165`, 0.14245792695609336`], {18, 32} -> - Complex[-0.06851992241433469, 0.0744015573825995], {18, 33} -> - Complex[-0.46001366242443475`, -0.04501903103250712], {18, 34} -> - Complex[0.44801071428465117`, -0.2692922761438914], {18, 35} -> - Complex[-0.003894793002414687, -0.08913866560779202], {18, 36} -> - Complex[0.1420818225049802, -0.020549905336444067`], {18, 37} -> - Complex[0.054106634788614424`, -0.19153336538244783`], {18, 38} -> - Complex[-0.2578313234243952, 0.008223482143912858], {18, 39} -> - Complex[-0.25297712909181935`, 0.24121475433095296`], {18, 40} -> - Complex[0.4292561195547466, -0.1261529658539593], {18, 41} -> - Complex[-0.16369481408407635`, 0.20495023616051494`], {18, 42} -> - Complex[0.1317222714029774, -0.021975788878054098`], {18, 43} -> - Complex[0.41131977612624415`, -0.13232992191324358`], {18, 44} -> - Complex[-0.2243553137616041, 0.13100788893385992`], {19, 20} -> - Complex[0.43562184855409647`, 0.], {19, 21} -> - Complex[-0.3369744999236155, -0.29271844816622855`], {19, 22} -> - Complex[-0.24041532021506196`, -0.1184011853639306], {19, 23} -> - Complex[-0.3369744999236155, -0.29271844816622855`], {19, 24} -> - Complex[-0.24041532021506196`, -0.1184011853639306], {19, 25} -> - Complex[0.1616697000123189, 0.377583947982878], {19, 26} -> - Complex[0.43562184855409647`, 0.], {19, 27} -> - Complex[-0.21652607315161407`, 0.04438031043332], {19, 28} -> - Complex[-0.16284304226858476`, -0.37837076485202586`], {19, 29} -> - Complex[-0.22589711673635846`, -0.05687526412308362], {19, 30} -> - Complex[-0.2194984593087177, -0.3316347549781254], {19, 31} -> - Complex[0.3674430035252537, -0.02942988722855236], {19, 32} -> - Complex[0.030760616858804858`, 0.23538416809123017`], {19, 33} -> - Complex[-0.14250557605474204`, -0.2063165128775194], {19, 34} -> - Complex[-0.11512173225228697`, 0.06603202019404991], {19, 35} -> - Complex[-0.22526455556679315`, -0.2299720433182001], {19, 36} -> - Complex[0.0333938099578483, -0.13285998183650485`], {19, 37} -> - Complex[0.0853534267428824, 0.2685944681825865], {19, 38} -> - Complex[0.3849695122204991, -0.1062213573260169], {19, 39} -> - Complex[-0.16708358508261859`, -0.0952802518296103], {19, 40} -> - Complex[-0.29051819451055283`, 0.1845802827902772], {19, 41} -> - Complex[0.011086587625856487`, -0.03977734422600335], {19, 42} -> - Complex[-0.4877238013526435, 0.007955471813542392], {19, 43} -> - Complex[-0.13251183168772646`, -0.07292772674550725], {19, 44} -> - Complex[-0.09000982956815268, 0.0903867564752118], {20, 21} -> - Complex[-0.42325127739355767`, 0.20956565510527553`], {20, 22} -> - Complex[-0.1948780812666511, 0.1767152316856876], {20, 23} -> - Complex[-0.42325127739355767`, 0.20956565510527553`], {20, 24} -> - Complex[-0.1948780812666511, 0.1767152316856876], {20, 25} -> - Complex[0.4472151812462272, 0.], {20, 26} -> - Complex[0.1616697000123189, -0.377583947982878], {20, 27} -> - Complex[-0.03295479383775109, 0.2657905892829302], {20, 28} -> - Complex[-0.4628811864347869, -0.03398995650383704], {20, 29} -> - Complex[-0.16337863033937647`, 0.15896380516087896`], {20, 30} -> - Complex[-0.4320941387037918, 0.12991593488691688`], {20, 31} -> - Complex[0.13352455457746898`, -0.28187182844600256`], {20, 32} -> - Complex[0.18655369587288279`, 0.03316644798025127], {20, 33} -> - Complex[-0.2261801898794757, -0.0697599821374323], {20, 34} -> - Complex[0.06151949272740251, 0.14597827062414853`], {20, 35} -> - Complex[-0.26920184199068836`, 0.03518514503066193], {20, 36} -> - Complex[-0.16763998959907517`, -0.06187718632736254], {20, 37} -> - Complex[0.3030470345876809, 0.022519062872992452`], {20, 38} -> - Complex[0.04950835193514282, -0.39192964728125823`], {20, 39} -> - Complex[-0.14609298550332978`, 0.10886984234665863`], {20, 40} -> - Complex[0.03370619313857502, 0.3668678320559675], {20, 41} -> - Complex[-0.0019470322311122695`, -0.006498565497976172], {20, 42} -> - Complex[-0.25669798623355977`, 0.3682894392044831], {20, 43} -> - Complex[-0.14592289770481853`, 0.16407230390985175`], {20, 44} -> - Complex[-0.16724537207779577`, 0.03765174623244656], {21, 22} -> - Complex[0.24951228881406945`, 0.], {21, 23} -> - Complex[0.2012043060989246, 0.013499323207191383`], {21, 24} -> - Complex[0.24951228881406945`, 0.], {21, 25} -> - Complex[-0.1948780812666511, -0.1767152316856876], {21, 26} -> - Complex[-0.24041532021506196`, 0.1184011853639306], {21, 27} -> - Complex[0.28957213463729153`, -0.04412598324971386], {21, 28} -> - Complex[0.03538868677262991, 0.15172437718360862`], {21, 29} -> - Complex[0.21056098056343198`, 0.0010063259480176945`], {21, 30} -> - Complex[0.14469920882684142`, 0.08927758557149193], {21, 31} -> - Complex[-0.14083455775068546`, 0.19707451798647965`], {21, 32} -> - Complex[-0.12865709489960156`, -0.05845882137761309], {21, 33} -> - Complex[-0.03463050797136755, 0.0005686162402836065], {21, 34} -> - Complex[0.2100350983072742, -0.12968311623120948`], {21, 35} -> - Complex[0.17642220929810848`, -0.008365816397526732], {21, 36} -> - Complex[0.11625516970040772`, 0.0444573016449614], {21, 37} -> - Complex[-0.1066773309353098, -0.12038972095215114`], {21, 38} -> - Complex[-0.2157400959251074, 0.14810189039274838`], {21, 39} -> - Complex[-0.03839447190915796, 0.0785609790385338], {21, 40} -> - Complex[0.2318925306003834, -0.19656264018073483`], {21, 41} -> - Complex[-0.08725292832596576, 0.09110106173880848], {21, 42} -> - Complex[0.24202191124971967`, -0.1824193133420845], {21, 43} -> - Complex[0.3016026771798053, -0.10079527738029274`], {21, 44} -> - Complex[-0.05020246914255188, -0.08183924224939915], {22, 23} -> - Complex[0.615785434694824, 0.], {22, 24} -> - Complex[0.2012043060989246, -0.013499323207191383`], {22, 25} -> - Complex[-0.42325127739355767`, -0.20956565510527553`], {22, 26} -> - Complex[-0.3369744999236155, 0.29271844816622855`], {22, 27} -> - Complex[-0.028900154169874605`, -0.13017700930644915`], {22, 28} -> - Complex[0.5819149254202538, 0.1453748291300389], {22, 29} -> - Complex[0.1400611094476761, -0.04426166547149747], {22, 30} -> - Complex[0.5764010633854448, 0.06134795783007195], {22, 31} -> - Complex[-0.3706890731222189, 0.18044487919137855`], {22, 32} -> - Complex[-0.18155862358181848`, -0.21175025822039334`], {22, 33} -> - Complex[0.3907111567253396, 0.10268276555989041`], {22, 34} -> - Complex[-0.08480107108956837, 0.011733274510644723`], {22, 35} -> - Complex[0.34304074287236563`, 0.14955941448349905`], {22, 36} -> - Complex[0.0773132411259754, 0.2576476349973377], {22, 37} -> - Complex[-0.29947000384932826`, -0.15932598599277575`], {22, 38} -> - Complex[-0.19902782536665659`, 0.3494630626340304], {22, 39} -> - Complex[0.2828692771265636, -0.22272520744230984`], {22, 40} -> - Complex[0.05006315921831328, -0.26260266300147606`], {22, 41} -> - Complex[0.030570326386135577`, -0.12759202400017805`], {22, 42} -> - Complex[0.4744609487513754, -0.20790978200823096`], {22, 43} -> - Complex[0.121035035207534, 0.15933522490880775`], {22, 44} -> - Complex[0.23577550381229875`, 0.007868846046102607], {23, 24} -> - Complex[0.24951228881406945`, 0.], {23, 25} -> - Complex[-0.1948780812666511, -0.1767152316856876], {23, 26} -> - Complex[-0.24041532021506196`, 0.1184011853639306], {23, 27} -> - Complex[0.28957213463729153`, -0.04412598324971386], {23, 28} -> - Complex[0.03538868677262991, 0.15172437718360862`], {23, 29} -> - Complex[0.21056098056343198`, 0.0010063259480176945`], {23, 30} -> - Complex[0.14469920882684142`, 0.08927758557149193], {23, 31} -> - Complex[-0.14083455775068546`, 0.19707451798647965`], {23, 32} -> - Complex[-0.12865709489960156`, -0.05845882137761309], {23, 33} -> - Complex[-0.03463050797136755, 0.0005686162402836065], {23, 34} -> - Complex[0.2100350983072742, -0.12968311623120948`], {23, 35} -> - Complex[0.17642220929810848`, -0.008365816397526732], {23, 36} -> - Complex[0.11625516970040772`, 0.0444573016449614], {23, 37} -> - Complex[-0.1066773309353098, -0.12038972095215114`], {23, 38} -> - Complex[-0.2157400959251074, 0.14810189039274838`], {23, 39} -> - Complex[-0.03839447190915796, 0.0785609790385338], {23, 40} -> - Complex[0.2318925306003834, -0.19656264018073483`], {23, 41} -> - Complex[-0.08725292832596576, 0.09110106173880848], {23, 42} -> - Complex[0.24202191124971967`, -0.1824193133420845], {23, 43} -> - Complex[0.3016026771798053, -0.10079527738029274`], {23, 44} -> - Complex[-0.05020246914255188, -0.08183924224939915], {24, 25} -> - Complex[-0.42325127739355767`, -0.20956565510527553`], {24, 26} -> - Complex[-0.3369744999236155, 0.29271844816622855`], {24, 27} -> - Complex[-0.028900154169874605`, -0.13017700930644915`], {24, 28} -> - Complex[0.5819149254202538, 0.1453748291300389], {24, 29} -> - Complex[0.1400611094476761, -0.04426166547149747], {24, 30} -> - Complex[0.5764010633854448, 0.06134795783007195], {24, 31} -> - Complex[-0.3706890731222189, 0.18044487919137855`], {24, 32} -> - Complex[-0.18155862358181848`, -0.21175025822039334`], {24, 33} -> - Complex[0.3907111567253396, 0.10268276555989041`], {24, 34} -> - Complex[-0.08480107108956837, 0.011733274510644723`], {24, 35} -> - Complex[0.34304074287236563`, 0.14955941448349905`], {24, 36} -> - Complex[0.0773132411259754, 0.2576476349973377], {24, 37} -> - Complex[-0.29947000384932826`, -0.15932598599277575`], {24, 38} -> - Complex[-0.19902782536665659`, 0.3494630626340304], {24, 39} -> - Complex[0.2828692771265636, -0.22272520744230984`], {24, 40} -> - Complex[0.05006315921831328, -0.26260266300147606`], {24, 41} -> - Complex[0.030570326386135577`, -0.12759202400017805`], {24, 42} -> - Complex[0.4744609487513754, -0.20790978200823096`], {24, 43} -> - Complex[0.121035035207534, 0.15933522490880775`], {24, 44} -> - Complex[0.23577550381229875`, 0.007868846046102607], {25, 26} -> - Complex[0.43562184855409647`, 0.], {25, 27} -> - Complex[-0.21652607315161407`, 0.04438031043332], {25, 28} -> - Complex[-0.16284304226858476`, -0.37837076485202586`], {25, 29} -> - Complex[-0.22589711673635846`, -0.05687526412308362], {25, 30} -> - Complex[-0.2194984593087177, -0.3316347549781254], {25, 31} -> - Complex[0.3674430035252537, -0.02942988722855236], {25, 32} -> - Complex[0.030760616858804858`, 0.23538416809123017`], {25, 33} -> - Complex[-0.14250557605474204`, -0.2063165128775194], {25, 34} -> - Complex[-0.11512173225228697`, 0.06603202019404991], {25, 35} -> - Complex[-0.22526455556679315`, -0.2299720433182001], {25, 36} -> - Complex[0.0333938099578483, -0.13285998183650485`], {25, 37} -> - Complex[0.0853534267428824, 0.2685944681825865], {25, 38} -> - Complex[0.3849695122204991, -0.1062213573260169], {25, 39} -> - Complex[-0.16708358508261859`, -0.0952802518296103], {25, 40} -> - Complex[-0.29051819451055283`, 0.1845802827902772], {25, 41} -> - Complex[0.011086587625856487`, -0.03977734422600335], {25, 42} -> - Complex[-0.4877238013526435, 0.007955471813542392], {25, 43} -> - Complex[-0.13251183168772646`, -0.07292772674550725], {25, 44} -> - Complex[-0.09000982956815268, 0.0903867564752118], {26, 27} -> - Complex[-0.03295479383775109, 0.2657905892829302], {26, 28} -> - Complex[-0.4628811864347869, -0.03398995650383704], {26, 29} -> - Complex[-0.16337863033937647`, 0.15896380516087896`], {26, 30} -> - Complex[-0.4320941387037918, 0.12991593488691688`], {26, 31} -> - Complex[0.13352455457746898`, -0.28187182844600256`], {26, 32} -> - Complex[0.18655369587288279`, 0.03316644798025127], {26, 33} -> - Complex[-0.2261801898794757, -0.0697599821374323], {26, 34} -> - Complex[0.06151949272740251, 0.14597827062414853`], {26, 35} -> - Complex[-0.26920184199068836`, 0.03518514503066193], {26, 36} -> - Complex[-0.16763998959907517`, -0.06187718632736254], {26, 37} -> - Complex[0.3030470345876809, 0.022519062872992452`], {26, 38} -> - Complex[0.04950835193514282, -0.39192964728125823`], {26, 39} -> - Complex[-0.14609298550332978`, 0.10886984234665863`], {26, 40} -> - Complex[0.03370619313857502, 0.3668678320559675], {26, 41} -> - Complex[-0.0019470322311122695`, -0.006498565497976172], {26, 42} -> - Complex[-0.25669798623355977`, 0.3682894392044831], {26, 43} -> - Complex[-0.14592289770481853`, 0.16407230390985175`], {26, 44} -> - Complex[-0.16724537207779577`, 0.03765174623244656], {27, 28} -> - Complex[0.8226177838286826, 0.], {27, 29} -> - Complex[-0.005406308519185013, -0.1923155305107149], {27, 30} -> - Complex[0.6038715987396429, -0.13410176235407406`], {27, 31} -> - Complex[-0.285231737878617, 0.11923332261820863`], {27, 32} -> - Complex[-0.11993561442023166`, -0.17547153928175108`], {27, 33} -> - Complex[0.6355045742435778, 0.21145565318624404`], {27, 34} -> - Complex[-0.3929683587836577, 0.049717383500414464`], {27, 35} -> - Complex[0.3339398475970939, 0.15997328431271962`], {27, 36} -> - Complex[0.01836995244926526, 0.1484624429717301], {27, 37} -> - Complex[-0.35213150811029553`, 0.004581446940964962], {27, 38} -> - Complex[-0.0010546882191990493`, 0.4188657078206115], {27, 39} -> - Complex[0.45325964260328205`, -0.28221185233103285`], {27, 40} -> - Complex[-0.25988577880868147`, -0.32025955513177806`], {27, 41} -> - 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WickHistory[ws] returns the list of all past states of ws.", + "WickHistory[{wc, ws}] returns a list of past Wick states of the current \ +Wick state ws by referring to the Wick circuit wc that has generated ws. \ +WickHistory[ws, t] returns the past Wick state at stage t of the current Wick \ +state ws. 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}]], "TechNotesSection",ExpressionUUID->"ed61b1c1-fbb7-4e40-89c5-\ -4b4d71a1dc56"], + }]], "TechNotesSection",ExpressionUUID->"2bbb3e84-1cd4-4575-b60a-\ +da8d3f8fc437"], Cell[BoxData[GridBox[{ { @@ -970,7 +970,7 @@ Cell[BoxData[GridBox[{ "paclet:Q3/guide/QuantumInformationSystems"}, "RefLinkPlain", BaseStyle->{"MoreAbout"}]], "MoreAbout",ExpressionUUID-> - "da423d49-dac7-4453-9553-fd89ad5ec40a"]}]}, + "641d46a4-b685-4faa-9589-2095bbcad168"]}]}, { RowBox[{"\[FilledVerySmallSquare]", Cell[BoxData[ TemplateBox[{ @@ -979,10 +979,10 @@ Cell[BoxData[GridBox[{ "paclet:Q3/guide/QuantumManyBodySystems"}, "RefLinkPlain", BaseStyle->{"MoreAbout"}]], "MoreAbout",ExpressionUUID-> - "1f6cc5d0-6ac7-4758-b819-c987814cd10f"]}]} + "9ac84ea1-9b05-4206-8ec7-d232bfb24007"]}]} }]} - }]], "MoreAboutSection",ExpressionUUID->"59966c20-8d79-487e-a841-\ -96ecd9408d19"], + }]], "MoreAboutSection",ExpressionUUID->"b1ea7ec3-f8d4-4f6f-8f3a-\ +ea94b5046378"], Cell[BoxData[GridBox[{ { @@ -1026,16 +1026,16 @@ Information Theory\" (Technischen Universit\[ADoubleDot]t Carolo-Wilhelmina, \ "https://doi.org/10.1007/978-3-030-91214-7"}, "WebLink", BaseStyle->{"RelatedLinks"}]],ExpressionUUID-> - 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"f82750b8-0733-49db-8286-86ee55d2e40c"]}]],ExpressionUUID-> - "1dc07af8-6f7b-4f51-8d5b-7815c86292ed"], + "0c0051bd-fb99-466e-b6c3-9f0da4bee8fb"]}]],ExpressionUUID-> + "b05291bd-c646-41ce-9a4b-7515799cea2c"], ", Physical Review A 65, 032325, \"Classical simulation of \ noninteracting-fermion quantum circuits.\"" }], "RelatedLinks",ExpressionUUID-> @@ -633,22 +559,22 @@ noninteracting-fermion quantum circuits.\"" "https://doi.org/10.1007/978-3-030-91214-7"}, "WebLink", BaseStyle->{"RelatedLinks"}]],ExpressionUUID-> - "5845940c-557a-4169-9194-5daff95deaeb"]}]],ExpressionUUID-> - "a1060fc4-4287-4b84-9700-539030d5ad59"], + "aef78d10-bef3-4f90-b04d-adc112b80598"]}]],ExpressionUUID-> + "04c4afad-ced4-4d8d-a76e-93678007f870"], ", A Quantum Computation Workbook (Springer)." }], "RelatedLinks",ExpressionUUID-> "97b4f9d5-b0db-435a-9b66-4faf8f9ff842"]} }]} - }]], "RelatedLinksSection",ExpressionUUID->"328ab4f1-ab2b-4e21-9944-\ -a8b6f3bfed09"], + }]], "RelatedLinksSection",ExpressionUUID->"e002c790-0b32-483e-b51c-\ +ae69024d138f"], -Cell[" ", "FooterCell",ExpressionUUID->"52827689-a62f-442f-a97a-b88127ceb573"] +Cell[" ", "FooterCell",ExpressionUUID->"4ff10dcb-7ba2-41ee-aca1-78717a6a09dd"] }, Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{900, 830}, WindowMargins->{{0, Automatic}, {Automatic, 0}}, -WindowTitle->"WickOperate", +WindowTitle->"WickOperator", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "", "LinkTrails" -> "", "ExampleCounter" -> 1, @@ -658,19 +584,16 @@ TaggingRules->{ "CitationPopupData" -> $Failed, "ShowCitation" -> False, "HasOptions" -> True, "RootCaptions" -> "", "HeaderCoreAreaLink" -> {}, "Metadata" -> { - 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WickOperate[{u, v}, ws] \ -returns the output state of applying unitary operator specified by the \ -unitary matrix ( { {u, v^*}, {v, u^*} } ). WickOperate[Measurement[...], ws] \ -is equivalent to Measurement[...][ws].", "synonyms" -> {}, "tabletags" -> {}, - "title" -> "WickOperate", "titlemodifier" -> "", "metadescription" -> "", - "windowtitle" -> "WickOperate", "type" -> "Symbol", "uri" -> - "Q3/ref/WickOperate"}}, + "WickOperator[{c1, c2, ..., ck}] represents an operator equivalent to c1 \ +** c2 ** ... ** ck, but is to be applied to a WickState.", "synonyms" -> {}, + "tabletags" -> {}, "title" -> "WickOperator", "titlemodifier" -> "", + "metadescription" -> "", "windowtitle" -> "WickOperator", "type" -> + "Symbol", "uri" -> "Q3/ref/WickOperator"}}, CellContext->"Global`", FrontEndVersion->"14.0 for Mac OS X ARM (64-bit) (December 12, 2023)", StyleDefinitions->Notebook[{ @@ -683,7 +606,7 @@ StyleDefinitions->Notebook[{ StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "14.0 for Mac OS X ARM (64-bit) (December 12, 2023)", StyleDefinitions -> "Default.nb"], -ExpressionUUID->"f5b8aba3-4881-4565-ad7a-d3855239e915" +ExpressionUUID->"6f46d576-27af-4c5b-b730-374bec08a8e8" ] (* End of Notebook Content *) @@ -691,44 +614,44 @@ ExpressionUUID->"f5b8aba3-4881-4565-ad7a-d3855239e915" (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - 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"f749271c-91bd-4c21-93a9-f5d06fbc14ed"], + "7110c23b-224f-46eb-8ca9-b8054ea3752a"], TemplateBox[{8}, "Spacer1"]}]], TextAlignment->Center,ExpressionUUID-> - "1dd79cd9-e07c-4067-b955-e533d7cdaf7f"], + "d48e25a8-b232-4eb5-8b14-7d109f6e1ce9"], Background->RGBColor[0.490196, 0.576471, 0.690196], ItemSize->Full], ""} }, @@ -54,15 +54,15 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "67d6499f-1714-42dd-8ae6-33bdf015c0e5"] - }],ExpressionUUID->"b7aa8287-65fc-4b6b-bd52-78f5c622aa81"], + "d171ac7d-0e55-483e-8ffd-0db97851f9a6"] + }],ExpressionUUID->"b34b0245-a5db-4119-8324-9028a93a8730"], StripOnInput->False],{ "\"WickState\"" :> Documentation`HelpLookup["paclet:Q3/ref/WickState"], "\"WickHistory\"" :> Documentation`HelpLookup["paclet:Q3/ref/WickHistory"], - "\"WickOperate\"" :> - Documentation`HelpLookup["paclet:Q3/ref/WickOperate"], + "\"WickOperator\"" :> + Documentation`HelpLookup["paclet:Q3/ref/WickOperator"], "\"WickUnitary\"" :> Documentation`HelpLookup["paclet:Q3/ref/WickUnitary"], "\"Measurement\"" :> @@ -72,7 +72,7 @@ Cell[BoxData[GridBox[{ MenuStyle->"SeeAlso"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "384447f7-a3af-487e-8e9a-e986a5d0bac9"], + "d70f30f5-0c67-4c33-ba35-f79d80a7bbbc"], "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ \[ThickSpace]", Cell[BoxData[ @@ -91,8 +91,8 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - "c52d5202-fa8d-4e0c-9b29-94476ab9b225"] - }],ExpressionUUID->"f65b377f-5e42-47dc-99b8-6e76ab4ff187"], + "09d2a42f-fef0-441f-a367-753e55ae5b9e"] + }],ExpressionUUID->"f86bc1e8-66c9-4f5c-a05c-812b802bb04c"], StripOnInput->False],{ "\"Quantum Many-Body Systems\"" :> Documentation`HelpLookup["paclet:Q3/guide/QuantumManyBodySystems"], @@ -102,7 +102,7 @@ Cell[BoxData[GridBox[{ MenuStyle->"MoreAbout"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "87d9bada-408d-484d-b93a-987da9e7531f"], + "807b6560-33c4-4e26-9ea9-0cf99b516d05"], "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ \[ThickSpace]", Cell[BoxData[ @@ -121,8 +121,8 @@ Cell[BoxData[GridBox[{ ImageSize->20, PlotRange->{{-3, 4}, {-1, 1}}, PlotRangePadding->Scaled[0.025]]],ExpressionUUID-> - 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0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "3", "1"}, + TemplateBox[{",", "\",\"", "4", "3", "0"}, "RowWithSeparators"]], - $CellContext`c[3, 3, 1]], ",", + $CellContext`c[4, 3, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "4", "1"}, + TemplateBox[{",", "\",\"", "4", "3", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 4, 1]], ",", + $CellContext`c[4, 3, 1]], ",", InterpretationBox[ SubscriptBox["c", @@ -1393,6 +3199,12 @@ Cell[BoxData[ InterpretationBox[ SubscriptBox["c", + TemplateBox[{",", "\",\"", "3", "4", "1"}, + "RowWithSeparators"]], + $CellContext`c[3, 4, 1]], ",", + InterpretationBox[ + SubscriptBox["c", + TemplateBox[{",", "\",\"", "2", "1", "0"}, "RowWithSeparators"]], $CellContext`c[2, 1, 0]], ",", @@ -1405,6 +3217,18 @@ Cell[BoxData[ InterpretationBox[ SubscriptBox["c", + TemplateBox[{",", "\",\"", "2", "2", "1"}, + "RowWithSeparators"]], + $CellContext`c[2, 2, 1]], ",", + InterpretationBox[ + SubscriptBox["c", + + TemplateBox[{",", "\",\"", "2", "2", "0"}, + "RowWithSeparators"]], + $CellContext`c[2, 2, 0]], ",", + InterpretationBox[ + SubscriptBox["c", + TemplateBox[{",", "\",\"", "1", "1", "1"}, "RowWithSeparators"]], $CellContext`c[1, 1, 1]], ",", @@ -1414,10 +3238,10 @@ Cell[BoxData[ TemplateBox[{",", "\",\"", "1", "3", "1"}, "RowWithSeparators"]], $CellContext`c[1, 3, 1]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox["\"Transformations: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + RowBox[{ + TagBox["\"Transformations: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ InterpretationBox[ RowBox[{ TagBox["NambuTransforms", "SummaryHead"], "[", @@ -1519,8 +3343,8 @@ Cell[BoxData[ 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmTKr6z 28B155YX9jfcl6+rmfbW/mRE7r/4r+9HzSEgDgDactH8 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -1528,9 +3352,9 @@ Cell[BoxData[ GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -1580,8 +3404,8 @@ Cell[BoxData[ 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmTKr6z 28B155YX9jfcl6+rmfbW/mRE7r/4r+9HzSEgDgDactH8 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -1589,9 +3413,9 @@ Cell[BoxData[ GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -1669,8 +3493,8 @@ Cell[BoxData[ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Column"], "SummaryItem"]}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, - AutoDelete -> False, GridBoxItemSize -> { - "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, + AutoDelete -> False, GridBoxItemSize -> {"Columns" -> {{ + Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> {"Columns" -> {{2}}, "Rows" -> {{ Automatic}}}, BaseStyle -> {ShowStringCharacters -> False, NumberMarks -> False, PrintPrecision -> 3, @@ -1707,8 +3531,8 @@ Cell[BoxData[ 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmPitNH HACo2sx4 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -1716,9 +3540,9 @@ HACo2sx4 GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -1768,8 +3592,8 @@ HACo2sx4 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmPitNH HACo2sx4 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -1777,9 +3601,9 @@ HACo2sx4 GridLinesStyle -> Directive[ GrayLevel[0.5, 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-0.05145411756901592], {3, - 25} -> Complex[ - 0.15643971909026363`, 0.21034493673282548`], {3, 26} -> - Complex[0.07182371169440027, -0.13961968957305576`], {3, - 27} -> Complex[-0.2521578356402413, - 0.01333219816254436], {3, 28} -> - Complex[-0.2841944960267362, -0.0881056163125139], {3, - 29} -> Complex[-0.17507327039387915`, \ --0.2690120226571733], {3, 30} -> - Complex[-0.25897033958870125`, 0.2062898932256956], {3, - 31} -> Complex[-0.18704231819170578`, - 0.30182786908398773`], {3, 32} -> - Complex[-0.13144217108963616`, -0.08045040304054488], {3, - 33} -> Complex[ - 0.10920936073748258`, -0.03308934997069378], {3, 34} -> - Complex[0.503636307020737, 0.], {3, 35} -> - Complex[0.32545613852497657`, -0.10568804847511024`], {3, - 36} -> Complex[ - 0.13232155584348976`, 0.2865643065030182], {4, 5} -> - Complex[-0.06621032034440741, -0.10280421447880453`], {4, + 0.06550651054263391, 0.09165221630004965], {3, 24} -> + Complex[0.10029581103120666`, 0.01981792746027898], {3, + 25} -> Complex[-0.3396867137428587, + 0.13646163767421743`], {3, 26} -> + Complex[0.10734135762637748`, -0.19617830350078105`], {3, + 27} -> Complex[-0.05442442802981293, \ +-0.14858688449114604`], {3, 28} -> + Complex[-0.2333099993372808, -0.2271710392758403], {3, + 29} -> Complex[-0.26639286607489965`, \ +-0.0014004115937454042`], {3, 30} -> Complex[0.4100313928008735, 0.], {3, 31} -> + Complex[-0.13729046784846416`, 0.16136872833117036`], {3, + 32} -> Complex[-0.09661499346651439, \ +-0.23954012515618292`], {4, 5} -> + Complex[0.19808970731622894`, 0.005640195231622968], {4, 6} -> Complex[ - 0.02410019796458368, -0.07846271521707039], {4, 7} -> - Complex[-0.07400883501291561, -0.04266786697540802], {4, + 0.05442442802981287, -0.14858688449114604`], {4, 7} -> + Complex[0.1938167265709829, -0.16890318060989123`], {4, 8} -> Complex[ - 0.09671382069915349, 0.31356085339344003`], {4, 9} -> - Complex[-0.09116148563358083, -0.08672925004639812], {4, + 0.26723944870955263`, 0.18013517883484725`], {4, 9} -> + Complex[-0.06778091820891004, -0.11263382211139406`], {4, 10} -> Complex[ - 0.16634996387262246`, 0.22507239863090805`], {4, 11} -> - Complex[-0.07901145315910152, 0.12060096224364471`], {4, + 0.11017975259513822`, 0.24891234255610362`], {4, 11} -> + Complex[0.09392733334800707, 0.23700943627758006`], {4, 12} -> Complex[ - 0.03971739520512007, -0.01279589611612527], {4, 13} -> - Complex[-0.24146580052003364`, 0.11027596484454191`], {4, - 14} -> Complex[-0.06287334385176857, \ --0.039875195608224154`], {4, 15} -> - Complex[-0.10985803268384983`, -0.010763626429992096`], { - 4, 16} -> Complex[ - 0.0896129289093057, -0.08670073786995046], {4, 17} -> - Complex[-0.1606002091580235, -0.04277649306205672], {4, - 18} -> Complex[-0.1355879777222275, \ --0.08845876363140671], {4, 19} -> - Complex[-0.1606002091580235, -0.04277649306205672], {4, - 20} -> Complex[-0.1355879777222275, \ --0.08845876363140671], {4, 21} -> - Complex[-0.10985803268384983`, -0.010763626429992096`], { - 4, 22} -> Complex[ - 0.0896129289093057, -0.08670073786995046], {4, 23} -> - Complex[-0.24146580052003364`, 0.11027596484454191`], {4, - 24} -> Complex[-0.06287334385176857, \ --0.039875195608224154`], {4, 25} -> - Complex[-0.07901145315910152, 0.12060096224364471`], {4, + 0.10046002901967245`, -0.19478861449336152`], {4, 13} -> + Complex[-0.14920571596040955`, 0.004668871253339259], {4, + 14} -> Complex[ + 0.27858075604955634`, 0.030371398383274933`], {4, 15} -> + Complex[0.1559809531435565, -0.03223196939623798], {4, + 16} -> Complex[ + 0.0843470356919863, 0.21628437576571974`], {4, 17} -> + Complex[0.1559809531435565, -0.03223196939623798], {4, + 18} -> Complex[ + 0.0843470356919863, 0.21628437576571974`], {4, 19} -> + Complex[-0.14920571596040955`, 0.004668871253339259], {4, + 20} -> Complex[ + 0.27858075604955634`, 0.030371398383274933`], {4, 21} -> + Complex[0.09392733334800707, 0.23700943627758006`], {4, + 22} -> Complex[ + 0.10046002901967245`, -0.19478861449336152`], {4, 23} -> + Complex[-0.06778091820891004, -0.11263382211139406`], {4, + 24} -> Complex[ + 0.11017975259513822`, 0.24891234255610362`], {4, 25} -> + Complex[0.1938167265709829, -0.16890318060989123`], {4, 26} -> Complex[ - 0.03971739520512007, -0.01279589611612527], {4, 27} -> - Complex[-0.09116148563358083, -0.08672925004639812], {4, + 0.26723944870955263`, 0.18013517883484725`], {4, 27} -> + Complex[0.19808970731622894`, 0.005640195231622968], {4, 28} -> Complex[ - 0.16634996387262246`, 0.22507239863090805`], {4, 29} -> - Complex[-0.07400883501291561, -0.04266786697540802], {4, - 30} -> Complex[ - 0.09671382069915349, 0.31356085339344003`], {4, 31} -> - Complex[-0.06621032034440741, -0.10280421447880453`], {4, - 32} -> Complex[ - 0.02410019796458368, -0.07846271521707039], {4, 33} -> - Complex[0.49636369297926336`, 0.], {4, 34} -> - Complex[0.10920936073748258`, 0.03308934997069378], {4, - 35} -> Complex[ - 0.35814065944152734`, 0.08293748621875244], {4, 36} -> - Complex[-0.31535699021917946`, 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Complex[0.15997502039138747`, 0.45412395229305985`], {5, + 6} -> Complex[0.7973608946322628, 0.], {5, 7} -> + Complex[0.28259964162527906`, -0.4055803745838325], {5, + 8} -> Complex[-0.14372193892286123`, + 0.45619687405618636`], {5, 9} -> + Complex[-0.0964564876770649, -0.04387994353782962], {5, + 10} -> Complex[-0.31513742950926715`, + 0.04912752076041336], {5, 11} -> + Complex[0.1668226451310518, 0.2990474561368582], {5, 12} -> + Complex[0.16980607400071762`, -0.0009413154054021405], {5, + 13} -> Complex[ + 0.07063495593763104, 0.18915546654520524`], {5, 14} -> + Complex[-0.1475728871036449, -0.14922079251460418`], {5, + 15} -> Complex[ + 0.23396340114239164`, -0.14836338195316717`], {5, 16} -> + Complex[-0.14277268958862907`, 0.2479052297980392], {5, 17} -> Complex[ - 0.09493687473979212, 0.05333192476596154], {5, 18} -> - Complex[-0.0863909413535702, -0.18155756040588286`], {5, + 0.23396340114239164`, -0.14836338195316717`], {5, 18} -> + Complex[-0.14277268958862907`, 0.2479052297980392], {5, 19} -> Complex[ - 0.09493687473979212, 0.05333192476596154], {5, 20} -> - Complex[-0.0863909413535702, -0.18155756040588286`], {5, - 21} -> Complex[ - 0.01768967427913295, 0.07030539787536907], {5, 22} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, - 23} -> Complex[ - 0.11263046571451424`, -0.15943812713557814`], {5, 24} -> - Complex[0.20153478327455962`, 0.091416725802769], {5, 25} -> - Complex[-0.06540345886434173, 0.03247283136099954], {5, - 26} -> Complex[-0.10297491838992004`, - 0.24585233281751626`], {5, 27} -> - Complex[0.05541102122851009, 0.15479143125784764`], {5, - 28} -> Complex[ - 0.10082205206266875`, 0.054783259519745345`], {5, 29} -> - Complex[-0.011194174176657017`, 0.18050668434763023`], {5, - 30} -> - Complex[-0.08951618372581999, -0.1398945044720049], {5, - 31} -> Complex[ - 0.05957085045120364, -0.0686364172150267], {5, 32} -> - Complex[0.3055029437591038, 0.], {5, 33} -> - Complex[0.02410019796458368, 0.07846271521707039], {5, - 34} -> Complex[-0.13144217108963616`, - 0.08045040304054488], {5, 35} -> - Complex[0.0692138138097684, -0.20164942303248495`], {5, - 36} -> Complex[-0.0838892214676934, \ --0.35906971113552444`], {6, 7} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, - 8} -> Complex[0.11313471290638971`, 0.0906083646195344], { - 6, 9} -> Complex[ - 0.18344402773596857`, 0.12440237009032867`], {6, 10} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {6, + 0.07063495593763104, 0.18915546654520524`], {5, 20} -> + Complex[-0.1475728871036449, -0.14922079251460418`], {5, + 21} -> Complex[0.1668226451310518, 0.2990474561368582], { + 5, 22} -> Complex[ + 0.16980607400071762`, -0.0009413154054021405], {5, 23} -> + Complex[-0.0964564876770649, -0.04387994353782962], {5, + 24} -> Complex[-0.31513742950926715`, + 0.04912752076041336], {5, 25} -> + Complex[0.28259964162527906`, -0.4055803745838325], {5, + 26} -> Complex[-0.14372193892286123`, + 0.45619687405618636`], {5, 27} -> + Complex[0.1366899433196731, 0.22179319605394876`], {5, + 28} -> Complex[0.7973608946322628, 0.], {5, 29} -> + Complex[0.05442442802981287, 0.14858688449114604`], {5, + 30} -> Complex[-0.2333099993372808, 0.2271710392758403], { + 5, 31} -> + Complex[-0.17155515501526808`, -0.1668433676200188], {5, + 32} -> Complex[-0.09765512477307971, + 0.4821278045577343], {6, 7} -> + Complex[-0.04788255890923551, -0.12484288796949913`], {6, + 8} -> Complex[0.17363309069570285`, 0.1403167246372976], { + 6, 9} -> Complex[-0.05062234940479168, + 0.059412074076411546`], {6, 10} -> + Complex[-0.05565875071499052, 0.09437594864128791], {6, 11} -> Complex[ - 0.04881033618836923, -0.3767537051917446], {6, 12} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {6, - 13} -> Complex[-0.1091396557759862, \ --0.054766912594803374`], {6, 14} -> - Complex[0.03210691866533716, 0.25866941133955584`], {6, - 15} -> Complex[-0.27597397639459753`, \ --0.2023899803882464], {6, 16} -> - Complex[0.06561103865616492, -0.04037752804772983], {6, - 17} -> Complex[-0.24139750211906025`, \ --0.17856311543581216`], {6, 18} -> - Complex[0.1302477399556314, -0.104114370134477], {6, 19} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, - 20} -> Complex[0.1302477399556314, -0.104114370134477], { - 6, 21} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {6, - 22} -> Complex[ - 0.06561103865616492, -0.04037752804772983], {6, 23} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {6, - 24} -> Complex[ - 0.03210691866533716, 0.25866941133955584`], {6, 25} -> - Complex[0.04881033618836923, -0.3767537051917446], {6, - 26} -> Complex[-0.05197448003562596, - 0.034035129192128775`], {6, 27} -> - Complex[0.18344402773596857`, 0.12440237009032867`], {6, - 28} -> Complex[-0.10668413246766638`, - 0.2594729794590618], {6, 29} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, + 0.11084673340471671`, 0.07367368444009487], {6, 12} -> + Complex[0.05755533995669046, -0.07401317879009213], {6, + 13} -> Complex[ + 0.005055667009208006, 0.1278205163933677], {6, 14} -> + Complex[0.019232961701569087`, -0.07895370068527609], {6, + 15} -> Complex[ + 0.0703816300525041, -0.09831495930430345], {6, 16} -> + Complex[0.05526746191692408, 0.16679705600024786`], {6, + 17} -> Complex[ + 0.0703816300525041, -0.09831495930430345], {6, 18} -> + Complex[0.05526746191692408, 0.16679705600024786`], {6, + 19} -> Complex[ + 0.005055667009208006, 0.1278205163933677], {6, 20} -> + Complex[0.019232961701569087`, -0.07895370068527609], {6, + 21} -> Complex[ + 0.11084673340471671`, 0.07367368444009487], {6, 22} -> + Complex[0.05755533995669046, -0.07401317879009213], {6, + 23} -> Complex[-0.05062234940479168, + 0.059412074076411546`], {6, 24} -> + Complex[-0.05565875071499052, 0.09437594864128791], {6, + 25} -> Complex[-0.04788255890923551, \ +-0.12484288796949913`], {6, 26} -> + Complex[0.17363309069570285`, 0.1403167246372976], {6, + 27} -> Complex[0.20263910536773755`, 0.], {6, 28} -> + Complex[0.1366899433196731, -0.22179319605394876`], {6, + 29} -> Complex[ + 0.19808970731622894`, -0.005640195231622968], {6, 30} -> + Complex[-0.05442442802981293, 0.14858688449114604`], {6, + 31} -> Complex[-0.21598365653956714`, + 0.09400730406176475], {6, 32} -> + Complex[0.13546634634545274`, 0.19241450807239194`], {7, + 8} -> Complex[0.44279991664860185`, 0.], {7, 9} -> + Complex[-0.07482735080148525, 0.01554709808796357], {7, + 10} -> Complex[0.22912253169347, 0.25555554669124914`], { + 7, 11} -> Complex[ + 0.23530920684103981`, -0.0909192260612194], {7, 12} -> + Complex[-0.021450925664317888`, -0.20231262751067364`], { + 7, 13} -> Complex[ + 0.022865123054102737`, -0.04960709547698468], {7, 14} -> + Complex[0.08074598001208205, 0.08855457473741418], {7, + 15} -> Complex[-0.06038101273760845, \ +-0.13919179950515956`], {7, 16} -> + Complex[0.2559730175620584, 0.12078716288411598`], {7, + 17} -> Complex[-0.06038101273760845, \ +-0.13919179950515956`], {7, 18} -> + Complex[0.2559730175620584, 0.12078716288411598`], {7, + 19} -> Complex[ + 0.022865123054102737`, -0.04960709547698468], {7, 20} -> + Complex[0.08074598001208205, 0.08855457473741418], {7, + 21} -> Complex[ + 0.23530920684103981`, -0.0909192260612194], {7, 22} -> + Complex[-0.021450925664317888`, -0.20231262751067364`], { + 7, 23} -> Complex[-0.07482735080148525, + 0.01554709808796357], {7, 24} -> + Complex[0.22912253169347, 0.25555554669124914`], {7, 25} -> + Complex[-0.25986751190259594`, -0.19937008578078047`], {7, + 26} -> Complex[0.44279991664860185`, 0.], {7, 27} -> + Complex[0.17363309069570285`, -0.1403167246372976], {7, + 28} -> Complex[-0.14372193892286123`, \ +-0.45619687405618636`], {7, 29} -> + Complex[0.26723944870955263`, -0.18013517883484725`], {7, 30} -> Complex[ - 0.11313471290638971`, 0.0906083646195344], {6, 31} -> - Complex[0.5058138015078811, 0.], {6, 32} -> - Complex[0.05957085045120364, 0.0686364172150267], {6, 33} -> - Complex[-0.06621032034440741, 0.10280421447880453`], {6, - 34} -> Complex[-0.18704231819170578`, \ --0.30182786908398773`], {6, 35} -> - Complex[-0.17262974874231735`, -0.03825515355084523], {6, - 36} -> Complex[ - 0.07140571807962026, -0.3254707548282041], {7, 8} -> - Complex[0.5500421302238756, 0.], {7, 9} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, - 10} -> Complex[ - 0.32107941916226146`, 0.09232207202497354], {7, 11} -> - Complex[0.017491034151456156`, -0.1422934683362202], {7, - 12} -> Complex[-0.09078438719781487, \ --0.08387695970470208], {7, 13} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {7, - 14} -> Complex[-0.03694461851812731, - 0.11992171449363792`], {7, 15} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, - 16} -> Complex[-0.07025866437087314, \ --0.18394307455842968`], {7, 17} -> - Complex[-0.3429240772478055, 0.12113458402956634`], {7, - 18} -> Complex[-0.06511122587857304, \ --0.01569343622580683], {7, 19} -> - Complex[-0.3429240772478055, 0.12113458402956634`], {7, - 20} -> Complex[-0.06511122587857304, \ --0.01569343622580683], {7, 21} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, - 22} -> Complex[-0.07025866437087314, \ --0.18394307455842968`], {7, 23} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {7, - 24} -> Complex[-0.03694461851812731, - 0.11992171449363792`], {7, 25} -> - Complex[0.017491034151456156`, -0.1422934683362202], {7, - 26} -> Complex[-0.09078438719781487, \ --0.08387695970470208], {7, 27} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, - 28} -> Complex[ - 0.32107941916226146`, 0.09232207202497354], {7, 29} -> - Complex[-0.015725352039344952`, 0.1534965717731505], {7, - 30} -> Complex[0.5500421302238756, 0.], {7, 31} -> - Complex[0.11313471290638971`, -0.0906083646195344], {7, - 32} -> Complex[-0.08951618372581999, - 0.1398945044720049], {7, 33} -> - Complex[0.09671382069915349, -0.31356085339344003`], {7, - 34} -> Complex[-0.25897033958870125`, \ --0.2062898932256956], {7, 35} -> - Complex[-0.006051982269297387, 0.008414767951100507], {7, - 36} -> Complex[-0.21414311351504042`, \ --0.06573453711443833], {8, 9} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {8, - 10} -> Complex[ - 0.13690201400056437`, -0.21116370706323376`], {8, 11} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, - 12} -> Complex[0.2158761295291703, 0.079839801475396], {8, - 13} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, + 0.10734135762637748`, 0.19617830350078105`], {7, 31} -> + Complex[0.040650102227546676`, 0.037686955531505785`], {7, + 32} -> Complex[ + 0.26488016647622287`, 0.03177814393460615], {8, 9} -> + Complex[0.06308937077219877, -0.16425756045192152`], {8, + 10} -> Complex[-0.18321791222949194`, + 0.035808072295513985`], {8, 11} -> + Complex[-0.11348480027122035`, 0.34468442336798244`], {8, + 12} -> Complex[ + 0.14683816981476766`, 0.034502058514711414`], {8, 13} -> + Complex[-0.05181977912767945, 0.037809566636026526`], {8, + 14} -> Complex[ + 0.05350396017855871, -0.038145366086212794`], {8, 15} -> + Complex[0.21051246235757812`, 0.08951514239750463], {8, + 16} -> Complex[-0.1855462901651881, + 0.08953347157789894], {8, 17} -> + Complex[0.21051246235757812`, 0.08951514239750463], {8, + 18} -> Complex[-0.1855462901651881, + 0.08953347157789894], {8, 19} -> + Complex[-0.05181977912767945, 0.037809566636026526`], {8, + 20} -> Complex[ + 0.05350396017855871, -0.038145366086212794`], {8, 21} -> + Complex[-0.11348480027122035`, 0.34468442336798244`], {8, + 22} -> Complex[ + 0.14683816981476766`, 0.034502058514711414`], {8, 23} -> + Complex[0.06308937077219877, -0.16425756045192152`], {8, + 24} -> Complex[-0.18321791222949194`, + 0.035808072295513985`], {8, 25} -> + Complex[0.5333747400652373, 0.], {8, 26} -> + Complex[-0.25986751190259594`, 0.19937008578078047`], {8, + 27} -> Complex[-0.04788255890923551, + 0.12484288796949913`], {8, 28} -> + Complex[0.28259964162527906`, 0.4055803745838325], {8, + 29} -> Complex[ + 0.1938167265709829, 0.16890318060989123`], {8, 30} -> + Complex[-0.3396867137428587, -0.13646163767421743`], {8, + 31} -> Complex[0.3366775563160397, 0.09992753883776476], { + 8, 32} -> Complex[-0.2128973260243628, + 0.2803118968875541], {9, 10} -> + Complex[0.42635779992285405`, 0.], {9, 11} -> + Complex[0.06842480050902869, -0.15505501766299976`], {9, + 12} -> Complex[-0.13939394787264447`, \ +-0.13747106056552227`], {9, 13} -> + Complex[-0.15768324024018812`, -0.14328868692391553`], {9, 14} -> Complex[ - 0.10074068312316217`, -0.24982130549270182`], {8, 15} -> - Complex[-0.02849651545902821, 0.13038883546342855`], {8, - 16} -> Complex[-0.218113151712259, - 0.025091517498334166`], {8, 17} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, - 18} -> Complex[-0.19090563198557167`, - 0.11085568682814102`], {8, 19} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, - 20} -> Complex[-0.19090563198557167`, - 0.11085568682814102`], {8, 21} -> - Complex[-0.02849651545902821, 0.13038883546342855`], {8, - 22} -> Complex[-0.218113151712259, - 0.025091517498334166`], {8, 23} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, - 24} -> Complex[ - 0.10074068312316217`, -0.24982130549270182`], {8, 25} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, - 26} -> Complex[0.2158761295291703, 0.079839801475396], {8, - 27} -> Complex[ - 0.22196866627101539`, -0.20220472842758744`], {8, 28} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {8, - 29} -> Complex[0.3480244926609176, 0.], {8, 30} -> - Complex[-0.015725352039344952`, -0.1534965717731505], {8, - 31} -> Complex[-0.06282282822605365, \ --0.17443733981734005`], {8, 32} -> - Complex[-0.011194174176657017`, -0.18050668434763023`], { - 8, 33} -> Complex[-0.07400883501291561, - 0.04266786697540802], {8, 34} -> - Complex[-0.17507327039387915`, 0.2690120226571733], {8, - 35} -> Complex[-0.33111266457208555`, - 0.2799821244558118], {8, 36} -> - Complex[-0.32833718354949015`, 0.08613557464795678], {9, - 10} -> Complex[0.4666612200115955, 0.], {9, 11} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, - 12} -> Complex[-0.002703366170010074, - 0.1342165202528226], {9, 13} -> - Complex[0.04387227616028566, 0.169253767952832], {9, 14} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, - 15} -> Complex[-0.16219964087949312`, - 0.23052958058187878`], {9, 16} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, - 17} -> Complex[-0.14528807272467686`, - 0.1963794168890443], {9, 18} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, - 19} -> Complex[-0.14528807272467686`, - 0.1963794168890443], {9, 20} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, - 21} -> Complex[-0.16219964087949312`, - 0.23052958058187878`], {9, 22} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, - 23} -> Complex[0.04387227616028566, 0.169253767952832], { - 9, 24} -> Complex[ - 0.19754043867481771`, -0.06710821743420367], {9, 25} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, - 26} -> Complex[-0.002703366170010074, - 0.1342165202528226], {9, 27} -> - Complex[0.10214442350629199`, -0.026260413784740505`], {9, - 28} -> Complex[0.4666612200115955, 0.], {9, 29} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {9, + 0.2643754685221928, 0.07682893410517902], {9, 15} -> + Complex[-0.07538887957770507, 0.014151525468183115`], {9, + 16} -> Complex[ + 0.1920939879748598, -0.10630694451257516`], {9, 17} -> + Complex[-0.07538887957770507, 0.014151525468183115`], {9, + 18} -> Complex[ + 0.1920939879748598, -0.10630694451257516`], {9, 19} -> + Complex[-0.15768324024018812`, -0.14328868692391553`], {9, + 20} -> Complex[ + 0.2643754685221928, 0.07682893410517902], {9, 21} -> + Complex[0.06842480050902869, -0.15505501766299976`], {9, + 22} -> Complex[-0.13939394787264447`, \ +-0.13747106056552227`], {9, 23} -> + Complex[-0.11019599040362683`, -0.05916418261795878], {9, + 24} -> Complex[0.42635779992285405`, 0.], {9, 25} -> + Complex[-0.18321791222949194`, -0.035808072295513985`], { + 9, 26} -> Complex[ + 0.22912253169347, -0.25555554669124914`], {9, 27} -> + Complex[-0.05565875071499052, -0.09437594864128791], {9, + 28} -> Complex[-0.31513742950926715`, \ +-0.04912752076041336], {9, 29} -> + Complex[0.11017975259513822`, -0.24891234255610362`], {9, 30} -> Complex[ - 0.32107941916226146`, -0.09232207202497354], {9, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {9, - 32} -> Complex[ - 0.10082205206266875`, -0.054783259519745345`], {9, 33} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {9, - 34} -> Complex[-0.2841944960267362, 0.0881056163125139], { - 9, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {9, - 36} -> Complex[-0.45453234415494154`, \ --0.154590481023119], {10, 11} -> - Complex[0.026461024624226184`, -0.17157026853359011`], { - 10, 12} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, - 13} -> Complex[-0.09249860156321268, \ --0.12601316051490963`], {10, 14} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, - 15} -> Complex[-0.13187039110424337`, \ --0.05577367679001426], {10, 16} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, - 17} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, - 18} -> Complex[-0.1350116019726202, \ --0.04516801561911384], {10, 19} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, - 20} -> Complex[-0.1350116019726202, \ --0.04516801561911384], {10, 21} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, - 22} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, - 23} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, - 24} -> Complex[ - 0.19742335371429923`, -0.09763016245015396], {10, 25} -> - Complex[0.026461024624226184`, -0.17157026853359011`], { - 10, 26} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, - 27} -> Complex[0.33314595779251727`, 0.], {10, 28} -> - Complex[0.10214442350629199`, 0.026260413784740505`], {10, - 29} -> Complex[ - 0.22196866627101539`, 0.20220472842758744`], {10, 30} -> - Complex[0.020907170696056646`, 0.009826517437731715], {10, - 31} -> Complex[ - 0.18344402773596857`, -0.12440237009032867`], {10, 32} -> - Complex[0.05541102122851009, -0.15479143125784764`], {10, - 33} -> Complex[-0.09116148563358083, - 0.08672925004639812], {10, 34} -> - Complex[-0.2521578356402413, -0.01333219816254436], {10, - 35} -> Complex[-0.5009225822231967, - 0.03036622844279574], {10, 36} -> - Complex[-0.1821537065194496, -0.1809373735116714], {11, - 12} -> Complex[0.2638704815566899, 0.], {11, 13} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {11, - 14} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, - 15} -> Complex[ - 0.029111053747052022`, -0.03092252970487717], {11, 16} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {11, - 17} -> Complex[-0.018530669057524738`, \ --0.1016185353576046], {11, 18} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {11, - 19} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, - 20} -> Complex[-0.12879874504374314`, - 0.15781559429956118`], {11, 21} -> - Complex[0.029111053747052022`, -0.03092252970487717], {11, - 22} -> Complex[-0.10573743372545524`, - 0.06148505498780174], {11, 23} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {11, - 24} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, + 0.10029581103120666`, -0.01981792746027898], {9, 31} -> + Complex[0.2533574041138994, -0.2841723464925085], {9, 32} -> + Complex[0.020172727999101747`, -0.03449935263782891], {10, + 11} -> + Complex[-0.08930473416931554, -0.007048096041707605], {10, + 12} -> Complex[ + 0.03975514319435934, 0.05151250369655895], {10, 13} -> + Complex[0.12032699300738342`, -0.048441152283289074`], { + 10, 14} -> + Complex[-0.12725910621181818`, 0.07905444855796712], {10, + 15} -> Complex[-0.04860629109081113, + 0.04246480370392383], {10, 16} -> + Complex[-0.026647065623548363`, -0.026330641239406972`], { + 10, 17} -> + Complex[-0.04860629109081113, 0.04246480370392383], {10, + 18} -> Complex[-0.026647065623548363`, \ +-0.026330641239406972`], {10, 19} -> + Complex[0.12032699300738342`, -0.048441152283289074`], { + 10, 20} -> + Complex[-0.12725910621181818`, 0.07905444855796712], {10, + 21} -> Complex[-0.08930473416931554, \ +-0.007048096041707605], {10, 22} -> + Complex[0.03975514319435934, 0.05151250369655895], {10, + 23} -> Complex[0.135726527386378, 0.], {10, 24} -> + Complex[-0.11019599040362683`, 0.05916418261795878], {10, 25} -> Complex[ - 0.03589005743520234, -0.010244248183710654`], {11, 26} -> - Complex[0.2638704815566899, 0.], {11, 27} -> - Complex[0.14020706236902425`, -0.157106453123418], {11, - 28} -> Complex[-0.002703366170010074, \ --0.1342165202528226], {11, 29} -> - Complex[0.2158761295291703, -0.079839801475396], {11, 30} -> - Complex[-0.09078438719781487, 0.08387695970470208], {11, - 31} -> Complex[-0.05197448003562596, \ --0.034035129192128775`], {11, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], { - 11, 33} -> - Complex[0.03971739520512007, 0.01279589611612527], {11, - 34} -> Complex[ - 0.07182371169440027, 0.13961968957305576`], {11, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {11, - 36} -> Complex[-0.28325062776683585`, - 0.15967643343543628`], {12, 13} -> - Complex[-0.005254583355195047, -0.07911629825938535], {12, - 14} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, - 15} -> Complex[0.09504874694484183, -0.252921972711526], { + 0.06308937077219877, 0.16425756045192152`], {10, 26} -> + Complex[-0.07482735080148525, -0.01554709808796357], {10, + 27} -> Complex[-0.05062234940479168, \ +-0.059412074076411546`], {10, 28} -> + Complex[-0.0964564876770649, 0.04387994353782962], {10, + 29} -> Complex[-0.06778091820891004, + 0.11263382211139406`], {10, 30} -> + Complex[0.06550651054263391, -0.09165221630004965], {10, + 31} -> Complex[ + 0.07078276202467412, 0.30788890986999096`], {10, 32} -> + Complex[-0.06765757529077783, -0.13038007028245235`], {11, + 12} -> Complex[0.1272054475990647, 0.], {11, 13} -> + Complex[0.03249739020896987, -0.007688837072184563], {11, + 14} -> Complex[-0.03666874742079528, + 0.07798472902890301], {11, 15} -> + Complex[0.07267050201545142, 0.011714058141280672`], {11, + 16} -> Complex[-0.07116526154293495, + 0.12925982418550483`], {11, 17} -> + Complex[0.07267050201545142, 0.011714058141280672`], {11, + 18} -> Complex[-0.07116526154293495, + 0.12925982418550483`], {11, 19} -> + Complex[0.03249739020896987, -0.007688837072184563], {11, + 20} -> Complex[-0.03666874742079528, + 0.07798472902890301], {11, 21} -> + Complex[-0.013539473736158613`, 0.13067968221082676`], { + 11, 22} -> Complex[0.1272054475990647, 0.], {11, 23} -> + Complex[0.03975514319435934, -0.05151250369655895], {11, + 24} -> Complex[-0.13939394787264447`, + 0.13747106056552227`], {11, 25} -> + Complex[0.14683816981476766`, -0.034502058514711414`], { + 11, 26} -> + Complex[-0.021450925664317888`, 0.20231262751067364`], { + 11, 27} -> + Complex[0.05755533995669046, 0.07401317879009213], {11, + 28} -> Complex[ + 0.16980607400071762`, 0.0009413154054021405], {11, 29} -> + Complex[0.10046002901967245`, 0.19478861449336152`], {11, + 30} -> Complex[-0.0832461030605116, + 0.0007900461969849934], {11, 31} -> + Complex[0.014982384821209789`, 0.13663234668804805`], {11, + 32} -> Complex[-0.1353776277549702, + 0.09474310902835915], {12, 13} -> + Complex[0.1011867533194991, 0.05266749081168851], {12, + 14} -> Complex[-0.07986138310064092, \ +-0.05490753841460036], {12, 15} -> + Complex[0.0049348768685348095`, -0.19401579066298913`], { 12, 16} -> - Complex[-0.016434880239505067`, -0.02799549139813756], { - 12, 17} -> - Complex[0.08241113354082491, -0.24960895170610842`], {12, - 18} -> Complex[-0.004104217599466588, - 0.09920939692115077], {12, 19} -> - Complex[0.08241113354082491, -0.24960895170610842`], {12, - 20} -> Complex[-0.004104217599466588, - 0.09920939692115077], {12, 21} -> - Complex[0.09504874694484183, -0.252921972711526], {12, - 22} -> Complex[-0.016434880239505067`, \ --0.02799549139813756], {12, 23} -> - Complex[-0.005254583355195047, -0.07911629825938535], {12, - 24} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, - 25} -> Complex[0.35884454526493437`, 0.], {12, 26} -> - Complex[0.03589005743520234, 0.010244248183710654`], {12, - 27} -> Complex[ - 0.026461024624226184`, 0.17157026853359011`], {12, 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {12, - 29} -> Complex[-0.07072413917244547, - 0.06080711260518379], {12, 30} -> - Complex[0.017491034151456156`, 0.1422934683362202], {12, - 31} -> Complex[0.04881033618836923, 0.3767537051917446], { - 12, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {12, - 33} -> Complex[-0.07901145315910152, \ --0.12060096224364471`], {12, 34} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {12, - 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {12, - 36} -> Complex[ - 0.12697363466636613`, 0.017287640275502197`], {13, 14} -> - Complex[0.35279363941541053`, 0.], {13, 15} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], { - 13, 16} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {13, - 17} -> Complex[ - 0.047713220798493425`, 0.08361488922564436], {13, 18} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], { - 13, 19} -> - Complex[0.047713220798493425`, 0.08361488922564436], {13, - 20} -> Complex[-0.12599372208886145`, \ --0.18913477597107048`], {13, 21} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], { - 13, 22} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {13, - 23} -> Complex[ - 0.06998304089724083, -0.09262495833114717], {13, 24} -> - Complex[0.35279363941541053`, 0.], {13, 25} -> - Complex[-0.1376685276414912, 0.017279120496164], {13, 26} -> - Complex[-0.017700618374932788`, 0.229189990199907], {13, + Complex[0.15833164198889998`, 0.11387642571006557`], {12, + 17} -> Complex[ + 0.0049348768685348095`, -0.19401579066298913`], {12, 18} -> + Complex[0.15833164198889998`, 0.11387642571006557`], {12, + 19} -> Complex[0.1011867533194991, 0.05266749081168851], { + 12, 20} -> + Complex[-0.07986138310064092, -0.05490753841460036], {12, + 21} -> Complex[0.288790430194917, 0.], {12, 22} -> + Complex[-0.013539473736158613`, -0.13067968221082676`], { + 12, 23} -> + Complex[-0.08930473416931554, 0.007048096041707605], {12, + 24} -> Complex[ + 0.06842480050902869, 0.15505501766299976`], {12, 25} -> + Complex[-0.11348480027122035`, -0.34468442336798244`], { + 12, 26} -> + Complex[0.23530920684103981`, 0.0909192260612194], {12, 27} -> Complex[ - 0.19742335371429923`, 0.09763016245015396], {13, 28} -> - Complex[0.19754043867481771`, 0.06710821743420367], {13, + 0.11084673340471671`, -0.07367368444009487], {12, 28} -> + Complex[0.1668226451310518, -0.2990474561368582], {12, 29} -> Complex[ - 0.10074068312316217`, 0.24982130549270182`], {13, 30} -> - Complex[-0.03694461851812731, -0.11992171449363792`], {13, + 0.09392733334800707, -0.23700943627758006`], {12, 30} -> + Complex[0.012301908189476976`, 0.29819031736230395`], {12, 31} -> Complex[ - 0.03210691866533716, -0.25866941133955584`], {13, 32} -> - Complex[0.20153478327455962`, -0.091416725802769], {13, - 33} -> Complex[-0.06287334385176857, - 0.039875195608224154`], {13, 34} -> - Complex[-0.26044059541670533`, 0.05145411756901592], {13, - 35} -> Complex[-0.25377338518228143`, \ --0.22696868263028766`], {13, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], { - 14, 15} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {14, - 16} -> Complex[-0.055024457915968744`, \ --0.00875520102328074], {14, 17} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {14, + 0.036746036528397724`, -0.11894266930455437`], {12, 32} -> + Complex[0.2806974213994702, 0.046546994330126934`], {13, + 14} -> Complex[0.4079525483141261, 0.], {13, 15} -> + Complex[0.08723277223992514, 0.11080073531383203`], {13, + 16} -> Complex[ + 0.006827467338087173, -0.01209924810690289], {13, 17} -> + Complex[0.08723277223992514, 0.11080073531383203`], {13, 18} -> Complex[ - 0.039373147369999854`, -0.022673347542931065`], {14, 19} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {14, - 20} -> Complex[ - 0.039373147369999854`, -0.022673347542931065`], {14, 21} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {14, - 22} -> Complex[-0.055024457915968744`, \ --0.00875520102328074], {14, 23} -> Complex[0.3248309079027546, 0.], {14, 24} -> - Complex[0.06998304089724083, 0.09262495833114717], {14, - 25} -> Complex[-0.005254583355195047, - 0.07911629825938535], {14, 26} -> - Complex[-0.18045658269343973`, 0.06407563305713601], {14, - 27} -> Complex[-0.09249860156321268, - 0.12601316051490963`], {14, 28} -> - Complex[0.04387227616028566, -0.169253767952832], {14, - 29} -> Complex[-0.044451718879691376`, - 0.06462209257745277], {14, 30} -> - Complex[0.015573345706232422`, -0.33611710368003506`], { - 14, 31} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {14, - 32} -> Complex[ - 0.11263046571451424`, 0.15943812713557814`], {14, 33} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], { - 14, 34} -> - Complex[-0.08996062722681389, 0.04963088270675587], {14, - 35} -> Complex[ - 0.054818062753627404`, -0.18407880112585107`], {14, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {15, - 16} -> Complex[0.18939927318289235`, 0.], {15, 17} -> - Complex[0.012115526439909248`, -0.07586465949937707], {15, + 0.006827467338087173, -0.01209924810690289], {13, 19} -> + Complex[-0.3220977038351225, -0.0383011718065015], {13, + 20} -> Complex[0.4079525483141261, 0.], {13, 21} -> + Complex[-0.07986138310064092, 0.05490753841460036], {13, + 22} -> Complex[-0.03666874742079528, \ +-0.07798472902890301], {13, 23} -> + Complex[-0.12725910621181818`, -0.07905444855796712], {13, + 24} -> Complex[ + 0.2643754685221928, -0.07682893410517902], {13, 25} -> + Complex[0.05350396017855871, 0.038145366086212794`], {13, + 26} -> Complex[ + 0.08074598001208205, -0.08855457473741418], {13, 27} -> + Complex[0.019232961701569087`, 0.07895370068527609], {13, + 28} -> Complex[-0.1475728871036449, + 0.14922079251460418`], {13, 29} -> + Complex[0.27858075604955634`, -0.030371398383274933`], { + 13, 30} -> + Complex[-0.15607378409602476`, -0.1439965761825238], {13, + 31} -> Complex[ + 0.11917354760172008`, -0.272212173030505], {13, 32} -> + Complex[-0.10354421178516458`, 0.22986188863366275`], {14, + 15} -> + Complex[-0.08476806338113038, -0.11473204575369803`], {14, + 16} -> Complex[ + 0.06970781907889996, 0.027872664118806813`], {14, 17} -> + Complex[-0.08476806338113038, -0.11473204575369803`], {14, 18} -> Complex[ - 0.14452293041969513`, -0.1105782258057243], {15, 19} -> - Complex[0.012115526439909248`, -0.07586465949937707], {15, - 20} -> Complex[ - 0.14452293041969513`, -0.1105782258057243], {15, 21} -> - Complex[0.0018678498053481644`, -0.11355320674819902`], { - 15, 22} -> Complex[0.18939927318289235`, 0.], {15, 23} -> - Complex[-0.055024457915968744`, 0.00875520102328074], {15, - 24} -> Complex[-0.034285724395853735`, - 0.1383242023528445], {15, 25} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {15, - 26} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {15, - 27} -> Complex[-0.11316770831298564`, - 0.08944943686956167], {15, 28} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {15, - 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {15, - 30} -> Complex[-0.07025866437087314, - 0.18394307455842968`], {15, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {15, - 32} -> Complex[-0.00498052152715275, - 0.08042658142468531], {15, 33} -> - Complex[0.0896129289093057, 0.08670073786995046], {15, - 34} -> Complex[ - 0.12372341411859573`, -0.16477324944202285`], {15, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {15, - 36} -> Complex[ - 0.23903733008036765`, -0.09626849124511486], {16, 17} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, - 18} -> Complex[ - 0.008173587051180226, 0.09795082074318642], {16, 19} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, - 20} -> Complex[ - 0.008173587051180226, 0.09795082074318642], {16, 21} -> - Complex[0.349552824256183, 0.], {16, 22} -> - Complex[0.0018678498053481644`, 0.11355320674819902`], { - 16, 23} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {16, - 24} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], { - 16, 25} -> - Complex[0.09504874694484183, 0.252921972711526], {16, 26} -> - Complex[0.029111053747052022`, 0.03092252970487717], {16, - 27} -> Complex[-0.13187039110424337`, - 0.05577367679001426], {16, 28} -> - Complex[-0.16219964087949312`, -0.23052958058187878`], { - 16, 29} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {16, - 30} -> - Complex[-0.3170629158392618, -0.07863950467973177], {16, - 31} -> Complex[-0.27597397639459753`, - 0.2023899803882464], {16, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {16, - 33} -> Complex[-0.10985803268384983`, - 0.010763626429992096`], {16, 34} -> - Complex[0.27720818247658857`, 0.1557462430493763], {16, - 35} -> Complex[ - 0.07950629072406969, -0.15112987613524487`], {16, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {17, - 18} -> Complex[0.27470470789916873`, 0.], {17, 19} -> - Complex[0.007773728117029734, -0.02423539675981027], {17, - 20} -> Complex[0.27470470789916873`, 0.], {17, 21} -> - Complex[0.008173587051180226, -0.09795082074318642], {17, - 22} -> Complex[ - 0.14452293041969513`, 0.1105782258057243], {17, 23} -> - Complex[0.039373147369999854`, 0.022673347542931065`], { - 17, 24} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {17, - 25} -> - Complex[-0.004104217599466588, -0.09920939692115077], {17, - 26} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], { - 17, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {17, - 28} -> Complex[-0.27334468363839204`, - 0.09375100770632477], {17, 29} -> - Complex[-0.19090563198557167`, -0.11085568682814102`], { - 17, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {17, - 31} -> Complex[0.1302477399556314, 0.104114370134477], { - 17, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {17, - 33} -> Complex[-0.1355879777222275, - 0.08845876363140671], {17, 34} -> - Complex[0.09968546178967824, -0.1683352007294286], {17, - 35} -> Complex[ - 0.13747177730338656`, 0.016173756793363754`], {17, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {18, - 19} -> Complex[0.3905441579974116, 0.], {18, 20} -> - Complex[0.007773728117029734, 0.02423539675981027], {18, + 0.06970781907889996, 0.027872664118806813`], {14, 19} -> + Complex[0.29582940176126815`, 0.], {14, 20} -> + Complex[-0.3220977038351225, 0.0383011718065015], {14, 21} -> Complex[ - 0.3520451599439639, 0.006012121161366684], {18, 22} -> - Complex[0.012115526439909248`, 0.07586465949937707], {18, + 0.1011867533194991, -0.05266749081168851], {14, 22} -> + Complex[0.03249739020896987, 0.007688837072184563], {14, 23} -> Complex[ - 0.17469085565385242`, -0.20815325028445178`], {18, 24} -> - Complex[0.047713220798493425`, -0.08361488922564436], {18, - 25} -> Complex[ - 0.08241113354082491, 0.24960895170610842`], {18, 26} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {18, - 27} -> Complex[-0.09261261877802832, - 0.1270548580331935], {18, 28} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {18, - 29} -> Complex[-0.041305971633540155`, \ --0.0475059953974924], {18, 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {18, - 31} -> Complex[-0.24139750211906025`, - 0.17856311543581216`], {18, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {18, - 33} -> Complex[-0.1606002091580235, - 0.04277649306205672], {18, 34} -> - Complex[0.20846784571655388`, 0.1346840497441242], {18, - 35} -> Complex[ - 0.020304980203947276`, -0.2448019195395177], {18, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {19, - 20} -> Complex[0.27470470789916873`, 0.], {19, 21} -> - Complex[0.008173587051180226, -0.09795082074318642], {19, - 22} -> Complex[ - 0.14452293041969513`, 0.1105782258057243], {19, 23} -> - Complex[0.039373147369999854`, 0.022673347542931065`], { - 19, 24} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {19, + 0.12032699300738342`, 0.048441152283289074`], {14, 24} -> + Complex[-0.15768324024018812`, 0.14328868692391553`], {14, 25} -> - Complex[-0.004104217599466588, -0.09920939692115077], {19, - 26} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], { - 19, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {19, - 28} -> Complex[-0.27334468363839204`, - 0.09375100770632477], {19, 29} -> - Complex[-0.19090563198557167`, -0.11085568682814102`], { - 19, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {19, - 31} -> Complex[0.1302477399556314, 0.104114370134477], { - 19, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {19, - 33} -> Complex[-0.1355879777222275, - 0.08845876363140671], {19, 34} -> - Complex[0.09968546178967824, -0.1683352007294286], {19, - 35} -> Complex[ - 0.13747177730338656`, 0.016173756793363754`], {19, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {20, + Complex[-0.05181977912767945, -0.037809566636026526`], { + 14, 26} -> + Complex[0.022865123054102737`, 0.04960709547698468], {14, + 27} -> Complex[ + 0.005055667009208006, -0.1278205163933677], {14, 28} -> + Complex[0.07063495593763104, -0.18915546654520524`], {14, + 29} -> Complex[-0.14920571596040955`, \ +-0.004668871253339259], {14, 30} -> + Complex[0.1695753382061036, 0.12525309112556196`], {14, + 31} -> Complex[-0.005519120018070173, + 0.32277555558099397`], {14, 32} -> + Complex[0.0926308918937118, -0.14887764782704088`], {15, + 16} -> Complex[0.21788533841205476`, 0.], {15, 17} -> + Complex[-0.07621780081525145, -0.10986947258054452`], {15, + 18} -> Complex[0.21788533841205476`, 0.], {15, 19} -> + Complex[0.06970781907889996, -0.027872664118806813`], {15, + 20} -> Complex[ + 0.006827467338087173, 0.01209924810690289], {15, 21} -> + Complex[0.15833164198889998`, -0.11387642571006557`], {15, + 22} -> + Complex[-0.07116526154293495, -0.12925982418550483`], {15, + 23} -> Complex[-0.026647065623548363`, + 0.026330641239406972`], {15, 24} -> + Complex[0.1920939879748598, 0.10630694451257516`], {15, + 25} -> Complex[-0.1855462901651881, \ +-0.08953347157789894], {15, 26} -> + Complex[0.2559730175620584, -0.12078716288411598`], {15, + 27} -> Complex[ + 0.05526746191692408, -0.16679705600024786`], {15, 28} -> + Complex[-0.14277268958862907`, -0.2479052297980392], {15, + 29} -> Complex[ + 0.0843470356919863, -0.21628437576571974`], {15, 30} -> + Complex[0.1504904090013878, 0.12024277886252119`], {15, + 31} -> Complex[0.08124011098625433, 0.0559800004451918], { + 15, 32} -> + Complex[0.1737724935599298, -0.007390914815773142], {16, + 17} -> Complex[0.1576509820323173, 0.], {16, 18} -> + Complex[-0.07621780081525145, 0.10986947258054452`], {16, + 19} -> Complex[-0.08476806338113038, + 0.11473204575369803`], {16, 20} -> + Complex[0.08723277223992514, -0.11080073531383203`], {16, + 21} -> Complex[ + 0.0049348768685348095`, 0.19401579066298913`], {16, 22} -> + Complex[0.07267050201545142, -0.011714058141280672`], {16, + 23} -> + Complex[-0.04860629109081113, -0.04246480370392383], {16, + 24} -> Complex[-0.07538887957770507, \ +-0.014151525468183115`], {16, 25} -> + Complex[0.21051246235757812`, -0.08951514239750463], {16, + 26} -> Complex[-0.06038101273760845, + 0.13919179950515956`], {16, 27} -> + Complex[0.0703816300525041, 0.09831495930430345], {16, + 28} -> Complex[ + 0.23396340114239164`, 0.14836338195316717`], {16, 29} -> + Complex[0.1559809531435565, 0.03223196939623798], {16, + 30} -> Complex[-0.20988883047294088`, + 0.03544251396822046], {16, 31} -> + Complex[-0.007195583582784125, -0.06896354235277449], {16, + 32} -> Complex[-0.0749459256389439, + 0.2284108346745835], {17, 18} -> + Complex[0.21788533841205476`, 0.], {17, 19} -> + Complex[0.06970781907889996, -0.027872664118806813`], {17, + 20} -> Complex[ + 0.006827467338087173, 0.01209924810690289], {17, 21} -> + Complex[0.15833164198889998`, -0.11387642571006557`], {17, + 22} -> + Complex[-0.07116526154293495, -0.12925982418550483`], {17, + 23} -> Complex[-0.026647065623548363`, + 0.026330641239406972`], {17, 24} -> + Complex[0.1920939879748598, 0.10630694451257516`], {17, + 25} -> Complex[-0.1855462901651881, \ +-0.08953347157789894], {17, 26} -> + Complex[0.2559730175620584, -0.12078716288411598`], {17, + 27} -> Complex[ + 0.05526746191692408, -0.16679705600024786`], {17, 28} -> + Complex[-0.14277268958862907`, -0.2479052297980392], {17, + 29} -> Complex[ + 0.0843470356919863, -0.21628437576571974`], {17, 30} -> + Complex[0.1504904090013878, 0.12024277886252119`], {17, + 31} -> Complex[0.08124011098625433, 0.0559800004451918], { + 17, 32} -> + Complex[0.1737724935599298, -0.007390914815773142], {18, + 19} -> Complex[-0.08476806338113038, + 0.11473204575369803`], {18, 20} -> + Complex[0.08723277223992514, -0.11080073531383203`], {18, 21} -> Complex[ - 0.3520451599439639, 0.006012121161366684], {20, 22} -> - Complex[0.012115526439909248`, 0.07586465949937707], {20, + 0.0049348768685348095`, 0.19401579066298913`], {18, 22} -> + Complex[0.07267050201545142, -0.011714058141280672`], {18, + 23} -> + Complex[-0.04860629109081113, -0.04246480370392383], {18, + 24} -> Complex[-0.07538887957770507, \ +-0.014151525468183115`], {18, 25} -> + Complex[0.21051246235757812`, -0.08951514239750463], {18, + 26} -> Complex[-0.06038101273760845, + 0.13919179950515956`], {18, 27} -> + Complex[0.0703816300525041, 0.09831495930430345], {18, + 28} -> Complex[ + 0.23396340114239164`, 0.14836338195316717`], {18, 29} -> + Complex[0.1559809531435565, 0.03223196939623798], {18, + 30} -> Complex[-0.20988883047294088`, + 0.03544251396822046], {18, 31} -> + Complex[-0.007195583582784125, -0.06896354235277449], {18, + 32} -> Complex[-0.0749459256389439, + 0.2284108346745835], {19, 20} -> + Complex[0.4079525483141261, 0.], {19, 21} -> + Complex[-0.07986138310064092, 0.05490753841460036], {19, + 22} -> Complex[-0.03666874742079528, \ +-0.07798472902890301], {19, 23} -> + Complex[-0.12725910621181818`, -0.07905444855796712], {19, + 24} -> Complex[ + 0.2643754685221928, -0.07682893410517902], {19, 25} -> + Complex[0.05350396017855871, 0.038145366086212794`], {19, + 26} -> Complex[ + 0.08074598001208205, -0.08855457473741418], {19, 27} -> + Complex[0.019232961701569087`, 0.07895370068527609], {19, + 28} -> Complex[-0.1475728871036449, + 0.14922079251460418`], {19, 29} -> + Complex[0.27858075604955634`, -0.030371398383274933`], { + 19, 30} -> + Complex[-0.15607378409602476`, -0.1439965761825238], {19, + 31} -> Complex[ + 0.11917354760172008`, -0.272212173030505], {19, 32} -> + Complex[-0.10354421178516458`, 0.22986188863366275`], {20, + 21} -> Complex[ + 0.1011867533194991, -0.05266749081168851], {20, 22} -> + Complex[0.03249739020896987, 0.007688837072184563], {20, 23} -> Complex[ - 0.17469085565385242`, -0.20815325028445178`], {20, 24} -> - Complex[0.047713220798493425`, -0.08361488922564436], {20, - 25} -> Complex[ - 0.08241113354082491, 0.24960895170610842`], {20, 26} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {20, - 27} -> Complex[-0.09261261877802832, - 0.1270548580331935], {20, 28} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {20, - 29} -> Complex[-0.041305971633540155`, \ --0.0475059953974924], {20, 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {20, - 31} -> Complex[-0.24139750211906025`, - 0.17856311543581216`], {20, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {20, - 33} -> Complex[-0.1606002091580235, - 0.04277649306205672], {20, 34} -> - Complex[0.20846784571655388`, 0.1346840497441242], {20, - 35} -> Complex[ - 0.020304980203947276`, -0.2448019195395177], {20, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {21, - 22} -> Complex[0.18939927318289235`, 0.], {21, 23} -> - Complex[-0.055024457915968744`, 0.00875520102328074], {21, - 24} -> Complex[-0.034285724395853735`, - 0.1383242023528445], {21, 25} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {21, - 26} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {21, - 27} -> Complex[-0.11316770831298564`, - 0.08944943686956167], {21, 28} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {21, - 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {21, - 30} -> Complex[-0.07025866437087314, - 0.18394307455842968`], {21, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {21, - 32} -> Complex[-0.00498052152715275, - 0.08042658142468531], {21, 33} -> - Complex[0.0896129289093057, 0.08670073786995046], {21, - 34} -> Complex[ - 0.12372341411859573`, -0.16477324944202285`], {21, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {21, - 36} -> Complex[ - 0.23903733008036765`, -0.09626849124511486], {22, 23} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {22, - 24} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], { - 22, 25} -> - Complex[0.09504874694484183, 0.252921972711526], {22, 26} -> - Complex[0.029111053747052022`, 0.03092252970487717], {22, - 27} -> Complex[-0.13187039110424337`, - 0.05577367679001426], {22, 28} -> - Complex[-0.16219964087949312`, -0.23052958058187878`], { - 22, 29} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {22, - 30} -> - Complex[-0.3170629158392618, -0.07863950467973177], {22, - 31} -> Complex[-0.27597397639459753`, - 0.2023899803882464], {22, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {22, - 33} -> Complex[-0.10985803268384983`, - 0.010763626429992096`], {22, 34} -> - Complex[0.27720818247658857`, 0.1557462430493763], {22, - 35} -> Complex[ - 0.07950629072406969, -0.15112987613524487`], {22, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {23, - 24} -> Complex[0.35279363941541053`, 0.], {23, 25} -> - Complex[-0.1376685276414912, 0.017279120496164], {23, 26} -> - Complex[-0.017700618374932788`, 0.229189990199907], {23, + 0.12032699300738342`, 0.048441152283289074`], {20, 24} -> + Complex[-0.15768324024018812`, 0.14328868692391553`], {20, + 25} -> + Complex[-0.05181977912767945, -0.037809566636026526`], { + 20, 26} -> + Complex[0.022865123054102737`, 0.04960709547698468], {20, + 27} -> Complex[ + 0.005055667009208006, -0.1278205163933677], {20, 28} -> + Complex[0.07063495593763104, -0.18915546654520524`], {20, + 29} -> Complex[-0.14920571596040955`, \ +-0.004668871253339259], {20, 30} -> + Complex[0.1695753382061036, 0.12525309112556196`], {20, + 31} -> Complex[-0.005519120018070173, + 0.32277555558099397`], {20, 32} -> + Complex[0.0926308918937118, -0.14887764782704088`], {21, + 22} -> Complex[0.1272054475990647, 0.], {21, 23} -> + Complex[0.03975514319435934, -0.05151250369655895], {21, + 24} -> Complex[-0.13939394787264447`, + 0.13747106056552227`], {21, 25} -> + Complex[0.14683816981476766`, -0.034502058514711414`], { + 21, 26} -> + Complex[-0.021450925664317888`, 0.20231262751067364`], { + 21, 27} -> + Complex[0.05755533995669046, 0.07401317879009213], {21, + 28} -> Complex[ + 0.16980607400071762`, 0.0009413154054021405], {21, 29} -> + Complex[0.10046002901967245`, 0.19478861449336152`], {21, + 30} -> Complex[-0.0832461030605116, + 0.0007900461969849934], {21, 31} -> + Complex[0.014982384821209789`, 0.13663234668804805`], {21, + 32} -> Complex[-0.1353776277549702, + 0.09474310902835915], {22, 23} -> + Complex[-0.08930473416931554, 0.007048096041707605], {22, + 24} -> Complex[ + 0.06842480050902869, 0.15505501766299976`], {22, 25} -> + Complex[-0.11348480027122035`, -0.34468442336798244`], { + 22, 26} -> + Complex[0.23530920684103981`, 0.0909192260612194], {22, 27} -> Complex[ - 0.19742335371429923`, 0.09763016245015396], {23, 28} -> - Complex[0.19754043867481771`, 0.06710821743420367], {23, + 0.11084673340471671`, -0.07367368444009487], {22, 28} -> + Complex[0.1668226451310518, -0.2990474561368582], {22, 29} -> Complex[ - 0.10074068312316217`, 0.24982130549270182`], {23, 30} -> - Complex[-0.03694461851812731, -0.11992171449363792`], {23, + 0.09392733334800707, -0.23700943627758006`], {22, 30} -> + Complex[0.012301908189476976`, 0.29819031736230395`], {22, 31} -> Complex[ - 0.03210691866533716, -0.25866941133955584`], {23, 32} -> - Complex[0.20153478327455962`, -0.091416725802769], {23, - 33} -> Complex[-0.06287334385176857, - 0.039875195608224154`], {23, 34} -> - Complex[-0.26044059541670533`, 0.05145411756901592], {23, - 35} -> Complex[-0.25377338518228143`, \ --0.22696868263028766`], {23, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], { - 24, 25} -> - Complex[-0.005254583355195047, 0.07911629825938535], {24, - 26} -> Complex[-0.18045658269343973`, - 0.06407563305713601], {24, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {24, - 28} -> Complex[0.04387227616028566, -0.169253767952832], { - 24, 29} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {24, + 0.036746036528397724`, -0.11894266930455437`], {22, 32} -> + Complex[0.2806974213994702, 0.046546994330126934`], {23, + 24} -> Complex[0.42635779992285405`, 0.], {23, 25} -> + Complex[-0.18321791222949194`, -0.035808072295513985`], { + 23, 26} -> + Complex[0.22912253169347, -0.25555554669124914`], {23, + 27} -> Complex[-0.05565875071499052, \ +-0.09437594864128791], {23, 28} -> + Complex[-0.31513742950926715`, -0.04912752076041336], {23, + 29} -> Complex[ + 0.11017975259513822`, -0.24891234255610362`], {23, 30} -> + Complex[0.10029581103120666`, -0.01981792746027898], {23, + 31} -> Complex[0.2533574041138994, -0.2841723464925085], { + 23, 32} -> + Complex[0.020172727999101747`, -0.03449935263782891], {24, + 25} -> Complex[ + 0.06308937077219877, 0.16425756045192152`], {24, 26} -> + Complex[-0.07482735080148525, -0.01554709808796357], {24, + 27} -> Complex[-0.05062234940479168, \ +-0.059412074076411546`], {24, 28} -> + Complex[-0.0964564876770649, 0.04387994353782962], {24, + 29} -> Complex[-0.06778091820891004, + 0.11263382211139406`], {24, 30} -> + Complex[0.06550651054263391, -0.09165221630004965], {24, + 31} -> Complex[ + 0.07078276202467412, 0.30788890986999096`], {24, 32} -> + Complex[-0.06765757529077783, -0.13038007028245235`], {25, + 26} -> Complex[0.44279991664860185`, 0.], {25, 27} -> + Complex[0.17363309069570285`, -0.1403167246372976], {25, + 28} -> Complex[-0.14372193892286123`, \ +-0.45619687405618636`], {25, 29} -> + Complex[0.26723944870955263`, -0.18013517883484725`], {25, 30} -> Complex[ - 0.015573345706232422`, -0.33611710368003506`], {24, 31} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {24, - 32} -> Complex[ - 0.11263046571451424`, 0.15943812713557814`], {24, 33} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], { - 24, 34} -> - Complex[-0.08996062722681389, 0.04963088270675587], {24, - 35} -> Complex[ - 0.054818062753627404`, -0.18407880112585107`], {24, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {25, - 26} -> Complex[0.2638704815566899, 0.], {25, 27} -> - Complex[0.14020706236902425`, -0.157106453123418], {25, - 28} -> Complex[-0.002703366170010074, \ --0.1342165202528226], {25, 29} -> - Complex[0.2158761295291703, -0.079839801475396], {25, 30} -> - Complex[-0.09078438719781487, 0.08387695970470208], {25, - 31} -> Complex[-0.05197448003562596, \ --0.034035129192128775`], {25, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], { - 25, 33} -> - Complex[0.03971739520512007, 0.01279589611612527], {25, - 34} -> Complex[ - 0.07182371169440027, 0.13961968957305576`], {25, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {25, - 36} -> Complex[-0.28325062776683585`, - 0.15967643343543628`], {26, 27} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {26, - 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {26, - 29} -> Complex[-0.07072413917244547, - 0.06080711260518379], {26, 30} -> - Complex[0.017491034151456156`, 0.1422934683362202], {26, - 31} -> Complex[0.04881033618836923, 0.3767537051917446], { + 0.10734135762637748`, 0.19617830350078105`], {25, 31} -> + Complex[0.040650102227546676`, 0.037686955531505785`], { + 25, 32} -> + Complex[0.26488016647622287`, 0.03177814393460615], {26, + 27} -> Complex[-0.04788255890923551, + 0.12484288796949913`], {26, 28} -> + Complex[0.28259964162527906`, 0.4055803745838325], {26, + 29} -> Complex[ + 0.1938167265709829, 0.16890318060989123`], {26, 30} -> + Complex[-0.3396867137428587, -0.13646163767421743`], {26, + 31} -> Complex[0.3366775563160397, 0.09992753883776476], { 26, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {26, - 33} -> Complex[-0.07901145315910152, \ --0.12060096224364471`], {26, 34} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {26, - 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {26, - 36} -> Complex[ - 0.12697363466636613`, 0.017287640275502197`], {27, 28} -> - Complex[0.4666612200115955, 0.], {27, 29} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {27, - 30} -> Complex[ - 0.32107941916226146`, -0.09232207202497354], {27, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {27, + Complex[-0.2128973260243628, 0.2803118968875541], {27, + 28} -> Complex[0.7973608946322628, 0.], {27, 29} -> + Complex[0.05442442802981287, 0.14858688449114604`], {27, + 30} -> Complex[-0.2333099993372808, 0.2271710392758403], { + 27, 31} -> + Complex[-0.17155515501526808`, -0.1668433676200188], {27, + 32} -> Complex[-0.09765512477307971, + 0.4821278045577343], {28, 29} -> + Complex[0.19808970731622894`, -0.005640195231622968], {28, + 30} -> Complex[-0.05442442802981293, + 0.14858688449114604`], {28, 31} -> + Complex[-0.21598365653956714`, 0.09400730406176475], {28, 32} -> Complex[ - 0.10082205206266875`, -0.054783259519745345`], {27, 33} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {27, - 34} -> Complex[-0.2841944960267362, - 0.0881056163125139], {27, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {27, - 36} -> Complex[-0.45453234415494154`, \ --0.154590481023119], {28, 29} -> - Complex[0.22196866627101539`, 0.20220472842758744`], {28, - 30} -> Complex[ - 0.020907170696056646`, 0.009826517437731715], {28, 31} -> - Complex[0.18344402773596857`, -0.12440237009032867`], {28, - 32} -> Complex[ - 0.05541102122851009, -0.15479143125784764`], {28, 33} -> - Complex[-0.09116148563358083, 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10} -> - Complex[-0.2841944960267362, -0.0881056163125139], {3, 11} -> - Complex[0.15643971909026363`, 0.21034493673282548`], {3, 12} -> - Complex[0.07182371169440027, -0.13961968957305576`], {3, 13} -> - Complex[-0.08996062722681389, -0.04963088270675587], {3, 14} -> - Complex[-0.26044059541670533`, -0.05145411756901592], {3, 15} -> - Complex[0.27720818247658857`, -0.1557462430493763], {3, 16} -> - Complex[0.12372341411859573`, 0.16477324944202285`], {3, 17} -> - Complex[0.20846784571655388`, -0.1346840497441242], {3, 18} -> - Complex[0.09968546178967824, 0.1683352007294286], {3, 19} -> - Complex[0.20846784571655388`, -0.1346840497441242], {3, 20} -> - Complex[0.09968546178967824, 0.1683352007294286], {3, 21} -> - Complex[0.27720818247658857`, -0.1557462430493763], {3, 22} -> - Complex[0.12372341411859573`, 0.16477324944202285`], {3, 23} -> - Complex[-0.08996062722681389, -0.04963088270675587], {3, 24} -> - Complex[-0.26044059541670533`, -0.05145411756901592], {3, 25} -> - Complex[0.15643971909026363`, 0.21034493673282548`], {3, 26} -> - Complex[0.07182371169440027, -0.13961968957305576`], {3, 27} -> - Complex[-0.2521578356402413, 0.01333219816254436], {3, 28} -> - Complex[-0.2841944960267362, -0.0881056163125139], {3, 29} -> - Complex[-0.17507327039387915`, -0.2690120226571733], {3, 30} -> - Complex[-0.25897033958870125`, 0.2062898932256956], {3, 31} -> - Complex[-0.18704231819170578`, 0.30182786908398773`], {3, 32} -> - Complex[-0.13144217108963616`, -0.08045040304054488], {3, 33} -> - Complex[0.10920936073748258`, -0.03308934997069378], {3, 34} -> - Complex[0.503636307020737, 0.], {3, 35} -> - Complex[0.32545613852497657`, -0.10568804847511024`], {3, 36} -> - Complex[0.13232155584348976`, 0.2865643065030182], {4, 5} -> - Complex[-0.06621032034440741, -0.10280421447880453`], {4, 6} -> - Complex[0.02410019796458368, -0.07846271521707039], {4, 7} -> - Complex[-0.07400883501291561, -0.04266786697540802], {4, 8} -> - Complex[0.09671382069915349, 0.31356085339344003`], {4, 9} -> - Complex[-0.09116148563358083, -0.08672925004639812], {4, 10} -> - Complex[0.16634996387262246`, 0.22507239863090805`], {4, 11} -> - Complex[-0.07901145315910152, 0.12060096224364471`], {4, 12} -> - Complex[0.03971739520512007, -0.01279589611612527], {4, 13} -> - Complex[-0.24146580052003364`, 0.11027596484454191`], {4, 14} -> - Complex[-0.06287334385176857, -0.039875195608224154`], {4, 15} -> - Complex[-0.10985803268384983`, -0.010763626429992096`], {4, 16} -> - Complex[0.0896129289093057, -0.08670073786995046], {4, 17} -> - Complex[-0.1606002091580235, -0.04277649306205672], {4, 18} -> - Complex[-0.1355879777222275, -0.08845876363140671], {4, 19} -> - Complex[-0.1606002091580235, -0.04277649306205672], {4, 20} -> - Complex[-0.1355879777222275, -0.08845876363140671], {4, 21} -> - Complex[-0.10985803268384983`, -0.010763626429992096`], {4, 22} -> - Complex[0.0896129289093057, -0.08670073786995046], {4, 23} -> - Complex[-0.24146580052003364`, 0.11027596484454191`], {4, 24} -> - Complex[-0.06287334385176857, -0.039875195608224154`], {4, 25} -> - Complex[-0.07901145315910152, 0.12060096224364471`], {4, 26} -> - Complex[0.03971739520512007, -0.01279589611612527], {4, 27} -> - Complex[-0.09116148563358083, -0.08672925004639812], {4, 28} -> - Complex[0.16634996387262246`, 0.22507239863090805`], {4, 29} -> - Complex[-0.07400883501291561, -0.04266786697540802], {4, 30} -> - Complex[0.09671382069915349, 0.31356085339344003`], {4, 31} -> - Complex[-0.06621032034440741, -0.10280421447880453`], {4, 32} -> - Complex[0.02410019796458368, -0.07846271521707039], {4, 33} -> - Complex[0.49636369297926336`, 0.], {4, 34} -> - Complex[0.10920936073748258`, 0.03308934997069378], {4, 35} -> - Complex[0.35814065944152734`, 0.08293748621875244], {4, 36} -> - Complex[-0.31535699021917946`, -0.2915805668549216], {5, 6} -> - Complex[0.3055029437591038, 0.], {5, 7} -> - Complex[-0.011194174176657017`, 0.18050668434763023`], {5, 8} -> - Complex[-0.08951618372581999, -0.1398945044720049], {5, 9} -> - Complex[0.05541102122851009, 0.15479143125784764`], {5, 10} -> - Complex[0.10082205206266875`, 0.054783259519745345`], {5, 11} -> - Complex[-0.06540345886434173, 0.03247283136099954], {5, 12} -> - Complex[-0.10297491838992004`, 0.24585233281751626`], {5, 13} -> - Complex[0.11263046571451424`, -0.15943812713557814`], {5, 14} -> - Complex[0.20153478327455962`, 0.091416725802769], {5, 15} -> - Complex[0.01768967427913295, 0.07030539787536907], {5, 16} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, 17} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, 18} -> - Complex[-0.0863909413535702, -0.18155756040588286`], {5, 19} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, 20} -> - Complex[-0.0863909413535702, -0.18155756040588286`], {5, 21} -> - Complex[0.01768967427913295, 0.07030539787536907], {5, 22} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, 23} -> - Complex[0.11263046571451424`, -0.15943812713557814`], {5, 24} -> - Complex[0.20153478327455962`, 0.091416725802769], {5, 25} -> - Complex[-0.06540345886434173, 0.03247283136099954], {5, 26} -> - Complex[-0.10297491838992004`, 0.24585233281751626`], {5, 27} -> - Complex[0.05541102122851009, 0.15479143125784764`], {5, 28} -> - Complex[0.10082205206266875`, 0.054783259519745345`], {5, 29} -> - Complex[-0.011194174176657017`, 0.18050668434763023`], {5, 30} -> - Complex[-0.08951618372581999, -0.1398945044720049], {5, 31} -> - Complex[0.05957085045120364, -0.0686364172150267], {5, 32} -> - Complex[0.3055029437591038, 0.], {5, 33} -> - Complex[0.02410019796458368, 0.07846271521707039], {5, 34} -> - Complex[-0.13144217108963616`, 0.08045040304054488], {5, 35} -> - Complex[0.0692138138097684, -0.20164942303248495`], {5, 36} -> - Complex[-0.0838892214676934, -0.35906971113552444`], {6, 7} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, 8} -> - Complex[0.11313471290638971`, 0.0906083646195344], {6, 9} -> - Complex[0.18344402773596857`, 0.12440237009032867`], {6, 10} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {6, 11} -> - Complex[0.04881033618836923, -0.3767537051917446], {6, 12} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {6, 13} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {6, 14} -> - Complex[0.03210691866533716, 0.25866941133955584`], {6, 15} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {6, 16} -> - Complex[0.06561103865616492, -0.04037752804772983], {6, 17} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, 18} -> - Complex[0.1302477399556314, -0.104114370134477], {6, 19} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, 20} -> - Complex[0.1302477399556314, -0.104114370134477], {6, 21} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {6, 22} -> - Complex[0.06561103865616492, -0.04037752804772983], {6, 23} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {6, 24} -> - Complex[0.03210691866533716, 0.25866941133955584`], {6, 25} -> - Complex[0.04881033618836923, -0.3767537051917446], {6, 26} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {6, 27} -> - Complex[0.18344402773596857`, 0.12440237009032867`], {6, 28} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {6, 29} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, 30} -> - Complex[0.11313471290638971`, 0.0906083646195344], {6, 31} -> - Complex[0.5058138015078811, 0.], {6, 32} -> - Complex[0.05957085045120364, 0.0686364172150267], {6, 33} -> - Complex[-0.06621032034440741, 0.10280421447880453`], {6, 34} -> - Complex[-0.18704231819170578`, -0.30182786908398773`], {6, 35} -> - Complex[-0.17262974874231735`, -0.03825515355084523], {6, 36} -> - Complex[0.07140571807962026, -0.3254707548282041], {7, 8} -> - Complex[0.5500421302238756, 0.], {7, 9} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, 10} -> - Complex[0.32107941916226146`, 0.09232207202497354], {7, 11} -> - Complex[0.017491034151456156`, -0.1422934683362202], {7, 12} -> - Complex[-0.09078438719781487, -0.08387695970470208], {7, 13} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {7, 14} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {7, 15} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, 16} -> - Complex[-0.07025866437087314, -0.18394307455842968`], {7, 17} -> - Complex[-0.3429240772478055, 0.12113458402956634`], {7, 18} -> - Complex[-0.06511122587857304, -0.01569343622580683], {7, 19} -> - Complex[-0.3429240772478055, 0.12113458402956634`], {7, 20} -> - Complex[-0.06511122587857304, -0.01569343622580683], {7, 21} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, 22} -> - Complex[-0.07025866437087314, -0.18394307455842968`], {7, 23} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {7, 24} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {7, 25} -> - Complex[0.017491034151456156`, -0.1422934683362202], {7, 26} -> - Complex[-0.09078438719781487, -0.08387695970470208], {7, 27} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, 28} -> - Complex[0.32107941916226146`, 0.09232207202497354], {7, 29} -> - Complex[-0.015725352039344952`, 0.1534965717731505], {7, 30} -> - Complex[0.5500421302238756, 0.], {7, 31} -> - Complex[0.11313471290638971`, -0.0906083646195344], {7, 32} -> - Complex[-0.08951618372581999, 0.1398945044720049], {7, 33} -> - Complex[0.09671382069915349, -0.31356085339344003`], {7, 34} -> - Complex[-0.25897033958870125`, -0.2062898932256956], {7, 35} -> - Complex[-0.006051982269297387, 0.008414767951100507], {7, 36} -> - Complex[-0.21414311351504042`, -0.06573453711443833], {8, 9} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {8, 10} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {8, 11} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, 12} -> - Complex[0.2158761295291703, 0.079839801475396], {8, 13} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, 14} -> - Complex[0.10074068312316217`, -0.24982130549270182`], {8, 15} -> - Complex[-0.02849651545902821, 0.13038883546342855`], {8, 16} -> - Complex[-0.218113151712259, 0.025091517498334166`], {8, 17} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, 18} -> - Complex[-0.19090563198557167`, 0.11085568682814102`], {8, 19} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, 20} -> - Complex[-0.19090563198557167`, 0.11085568682814102`], {8, 21} -> - Complex[-0.02849651545902821, 0.13038883546342855`], {8, 22} -> - Complex[-0.218113151712259, 0.025091517498334166`], {8, 23} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, 24} -> - Complex[0.10074068312316217`, -0.24982130549270182`], {8, 25} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, 26} -> - Complex[0.2158761295291703, 0.079839801475396], {8, 27} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {8, 28} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {8, 29} -> - Complex[0.3480244926609176, 0.], {8, 30} -> - Complex[-0.015725352039344952`, -0.1534965717731505], {8, 31} -> - Complex[-0.06282282822605365, -0.17443733981734005`], {8, 32} -> - Complex[-0.011194174176657017`, -0.18050668434763023`], {8, 33} -> - Complex[-0.07400883501291561, 0.04266786697540802], {8, 34} -> - Complex[-0.17507327039387915`, 0.2690120226571733], {8, 35} -> - Complex[-0.33111266457208555`, 0.2799821244558118], {8, 36} -> - Complex[-0.32833718354949015`, 0.08613557464795678], {9, 10} -> - Complex[0.4666612200115955, 0.], {9, 11} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, 12} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, 13} -> - Complex[0.04387227616028566, 0.169253767952832], {9, 14} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, 15} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {9, 16} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, 17} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {9, 18} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, 19} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {9, 20} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, 21} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {9, 22} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, 23} -> - Complex[0.04387227616028566, 0.169253767952832], {9, 24} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, 25} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, 26} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, 27} -> - Complex[0.10214442350629199`, -0.026260413784740505`], {9, 28} -> - Complex[0.4666612200115955, 0.], {9, 29} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {9, 30} -> - Complex[0.32107941916226146`, -0.09232207202497354], {9, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {9, 32} -> - Complex[0.10082205206266875`, -0.054783259519745345`], {9, 33} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {9, 34} -> - Complex[-0.2841944960267362, 0.0881056163125139], {9, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {9, 36} -> - Complex[-0.45453234415494154`, -0.154590481023119], {10, 11} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {10, 12} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, 13} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, 14} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, 15} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, 16} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, 17} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, 18} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, 19} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, 20} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, 21} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, 22} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, 23} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, 24} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, 25} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {10, 26} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, 27} -> - Complex[0.33314595779251727`, 0.], {10, 28} -> - Complex[0.10214442350629199`, 0.026260413784740505`], {10, 29} -> - Complex[0.22196866627101539`, 0.20220472842758744`], {10, 30} -> - Complex[0.020907170696056646`, 0.009826517437731715], {10, 31} -> - Complex[0.18344402773596857`, -0.12440237009032867`], {10, 32} -> - Complex[0.05541102122851009, -0.15479143125784764`], {10, 33} -> - Complex[-0.09116148563358083, 0.08672925004639812], {10, 34} -> - Complex[-0.2521578356402413, -0.01333219816254436], {10, 35} -> - Complex[-0.5009225822231967, 0.03036622844279574], {10, 36} -> - Complex[-0.1821537065194496, -0.1809373735116714], {11, 12} -> - Complex[0.2638704815566899, 0.], {11, 13} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {11, 14} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, 15} -> - Complex[0.029111053747052022`, -0.03092252970487717], {11, 16} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {11, 17} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, 18} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {11, 19} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, 20} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {11, 21} -> - Complex[0.029111053747052022`, -0.03092252970487717], {11, 22} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {11, 23} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {11, 24} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, 25} -> - Complex[0.03589005743520234, -0.010244248183710654`], {11, 26} -> - Complex[0.2638704815566899, 0.], {11, 27} -> - Complex[0.14020706236902425`, -0.157106453123418], {11, 28} -> - Complex[-0.002703366170010074, -0.1342165202528226], {11, 29} -> - Complex[0.2158761295291703, -0.079839801475396], {11, 30} -> - Complex[-0.09078438719781487, 0.08387695970470208], {11, 31} -> - Complex[-0.05197448003562596, -0.034035129192128775`], {11, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], {11, 33} -> - Complex[0.03971739520512007, 0.01279589611612527], {11, 34} -> - Complex[0.07182371169440027, 0.13961968957305576`], {11, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {11, 36} -> - Complex[-0.28325062776683585`, 0.15967643343543628`], {12, 13} -> - Complex[-0.005254583355195047, -0.07911629825938535], {12, 14} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, 15} -> - Complex[0.09504874694484183, -0.252921972711526], {12, 16} -> - Complex[-0.016434880239505067`, -0.02799549139813756], {12, 17} -> - Complex[0.08241113354082491, -0.24960895170610842`], {12, 18} -> - Complex[-0.004104217599466588, 0.09920939692115077], {12, 19} -> - Complex[0.08241113354082491, -0.24960895170610842`], {12, 20} -> - Complex[-0.004104217599466588, 0.09920939692115077], {12, 21} -> - Complex[0.09504874694484183, -0.252921972711526], {12, 22} -> - Complex[-0.016434880239505067`, -0.02799549139813756], {12, 23} -> - Complex[-0.005254583355195047, -0.07911629825938535], {12, 24} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, 25} -> - Complex[0.35884454526493437`, 0.], {12, 26} -> - Complex[0.03589005743520234, 0.010244248183710654`], {12, 27} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {12, 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {12, 29} -> - Complex[-0.07072413917244547, 0.06080711260518379], {12, 30} -> - Complex[0.017491034151456156`, 0.1422934683362202], {12, 31} -> - Complex[0.04881033618836923, 0.3767537051917446], {12, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {12, 33} -> - Complex[-0.07901145315910152, -0.12060096224364471`], {12, 34} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {12, 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {12, 36} -> - Complex[0.12697363466636613`, 0.017287640275502197`], {13, 14} -> - Complex[0.35279363941541053`, 0.], {13, 15} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], {13, 16} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {13, 17} -> - Complex[0.047713220798493425`, 0.08361488922564436], {13, 18} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], {13, 19} -> - Complex[0.047713220798493425`, 0.08361488922564436], {13, 20} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], {13, 21} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], {13, 22} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {13, 23} -> - Complex[0.06998304089724083, -0.09262495833114717], {13, 24} -> - Complex[0.35279363941541053`, 0.], {13, 25} -> - Complex[-0.1376685276414912, 0.017279120496164], {13, 26} -> - Complex[-0.017700618374932788`, 0.229189990199907], {13, 27} -> - Complex[0.19742335371429923`, 0.09763016245015396], {13, 28} -> - Complex[0.19754043867481771`, 0.06710821743420367], {13, 29} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {13, 30} -> - Complex[-0.03694461851812731, -0.11992171449363792`], {13, 31} -> - Complex[0.03210691866533716, -0.25866941133955584`], {13, 32} -> - Complex[0.20153478327455962`, -0.091416725802769], {13, 33} -> - Complex[-0.06287334385176857, 0.039875195608224154`], {13, 34} -> - Complex[-0.26044059541670533`, 0.05145411756901592], {13, 35} -> - Complex[-0.25377338518228143`, -0.22696868263028766`], {13, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], {14, 15} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {14, 16} -> - Complex[-0.055024457915968744`, -0.00875520102328074], {14, 17} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {14, 18} -> - Complex[0.039373147369999854`, -0.022673347542931065`], {14, 19} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {14, 20} -> - Complex[0.039373147369999854`, -0.022673347542931065`], {14, 21} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {14, 22} -> - Complex[-0.055024457915968744`, -0.00875520102328074], {14, 23} -> - Complex[0.3248309079027546, 0.], {14, 24} -> - Complex[0.06998304089724083, 0.09262495833114717], {14, 25} -> - Complex[-0.005254583355195047, 0.07911629825938535], {14, 26} -> - Complex[-0.18045658269343973`, 0.06407563305713601], {14, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {14, 28} -> - Complex[0.04387227616028566, -0.169253767952832], {14, 29} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {14, 30} -> - Complex[0.015573345706232422`, -0.33611710368003506`], {14, 31} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {14, 32} -> - Complex[0.11263046571451424`, 0.15943812713557814`], {14, 33} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], {14, 34} -> - Complex[-0.08996062722681389, 0.04963088270675587], {14, 35} -> - Complex[0.054818062753627404`, -0.18407880112585107`], {14, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {15, 16} -> - Complex[0.18939927318289235`, 0.], {15, 17} -> - Complex[0.012115526439909248`, -0.07586465949937707], {15, 18} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, 19} -> - Complex[0.012115526439909248`, -0.07586465949937707], {15, 20} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, 21} -> - Complex[0.0018678498053481644`, -0.11355320674819902`], {15, 22} -> - Complex[0.18939927318289235`, 0.], {15, 23} -> - Complex[-0.055024457915968744`, 0.00875520102328074], {15, 24} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {15, 25} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {15, 26} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {15, 27} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {15, 28} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {15, 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {15, 30} -> - Complex[-0.07025866437087314, 0.18394307455842968`], {15, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {15, 32} -> - Complex[-0.00498052152715275, 0.08042658142468531], {15, 33} -> - Complex[0.0896129289093057, 0.08670073786995046], {15, 34} -> - Complex[0.12372341411859573`, -0.16477324944202285`], {15, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {15, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {16, 17} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, 18} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, 19} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, 20} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, 21} -> - Complex[0.349552824256183, 0.], {16, 22} -> - Complex[0.0018678498053481644`, 0.11355320674819902`], {16, 23} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {16, 24} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], {16, 25} -> - Complex[0.09504874694484183, 0.252921972711526], {16, 26} -> - Complex[0.029111053747052022`, 0.03092252970487717], {16, 27} -> - Complex[-0.13187039110424337`, 0.05577367679001426], {16, 28} -> - Complex[-0.16219964087949312`, -0.23052958058187878`], {16, 29} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {16, 30} -> - Complex[-0.3170629158392618, -0.07863950467973177], {16, 31} -> - Complex[-0.27597397639459753`, 0.2023899803882464], {16, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {16, 33} -> - Complex[-0.10985803268384983`, 0.010763626429992096`], {16, 34} -> - Complex[0.27720818247658857`, 0.1557462430493763], {16, 35} -> - Complex[0.07950629072406969, -0.15112987613524487`], {16, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {17, 18} -> - Complex[0.27470470789916873`, 0.], {17, 19} -> - Complex[0.007773728117029734, -0.02423539675981027], {17, 20} -> - Complex[0.27470470789916873`, 0.], {17, 21} -> - Complex[0.008173587051180226, -0.09795082074318642], {17, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {17, 23} -> - Complex[0.039373147369999854`, 0.022673347542931065`], {17, 24} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {17, 25} -> - Complex[-0.004104217599466588, -0.09920939692115077], {17, 26} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], {17, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {17, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {17, 29} -> - Complex[-0.19090563198557167`, -0.11085568682814102`], {17, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {17, 31} -> - Complex[0.1302477399556314, 0.104114370134477], {17, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {17, 33} -> - Complex[-0.1355879777222275, 0.08845876363140671], {17, 34} -> - Complex[0.09968546178967824, -0.1683352007294286], {17, 35} -> - Complex[0.13747177730338656`, 0.016173756793363754`], {17, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {18, 19} -> - Complex[0.3905441579974116, 0.], {18, 20} -> - Complex[0.007773728117029734, 0.02423539675981027], {18, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {18, 22} -> - Complex[0.012115526439909248`, 0.07586465949937707], {18, 23} -> - Complex[0.17469085565385242`, -0.20815325028445178`], {18, 24} -> - Complex[0.047713220798493425`, -0.08361488922564436], {18, 25} -> - Complex[0.08241113354082491, 0.24960895170610842`], {18, 26} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {18, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {18, 28} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {18, 29} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {18, 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {18, 31} -> - Complex[-0.24139750211906025`, 0.17856311543581216`], {18, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {18, 33} -> - Complex[-0.1606002091580235, 0.04277649306205672], {18, 34} -> - Complex[0.20846784571655388`, 0.1346840497441242], {18, 35} -> - Complex[0.020304980203947276`, -0.2448019195395177], {18, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {19, 20} -> - Complex[0.27470470789916873`, 0.], {19, 21} -> - Complex[0.008173587051180226, -0.09795082074318642], {19, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {19, 23} -> - Complex[0.039373147369999854`, 0.022673347542931065`], {19, 24} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {19, 25} -> - Complex[-0.004104217599466588, -0.09920939692115077], {19, 26} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], {19, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {19, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {19, 29} -> - Complex[-0.19090563198557167`, -0.11085568682814102`], {19, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {19, 31} -> - Complex[0.1302477399556314, 0.104114370134477], {19, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {19, 33} -> - Complex[-0.1355879777222275, 0.08845876363140671], {19, 34} -> - Complex[0.09968546178967824, -0.1683352007294286], {19, 35} -> - Complex[0.13747177730338656`, 0.016173756793363754`], {19, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {20, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {20, 22} -> - Complex[0.012115526439909248`, 0.07586465949937707], {20, 23} -> - Complex[0.17469085565385242`, -0.20815325028445178`], {20, 24} -> - Complex[0.047713220798493425`, -0.08361488922564436], {20, 25} -> - Complex[0.08241113354082491, 0.24960895170610842`], {20, 26} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {20, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {20, 28} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {20, 29} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {20, 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {20, 31} -> - Complex[-0.24139750211906025`, 0.17856311543581216`], {20, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {20, 33} -> - Complex[-0.1606002091580235, 0.04277649306205672], {20, 34} -> - Complex[0.20846784571655388`, 0.1346840497441242], {20, 35} -> - Complex[0.020304980203947276`, -0.2448019195395177], {20, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {21, 22} -> - Complex[0.18939927318289235`, 0.], {21, 23} -> - Complex[-0.055024457915968744`, 0.00875520102328074], {21, 24} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {21, 25} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {21, 26} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {21, 27} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {21, 28} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {21, 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {21, 30} -> - Complex[-0.07025866437087314, 0.18394307455842968`], {21, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {21, 32} -> - Complex[-0.00498052152715275, 0.08042658142468531], {21, 33} -> - Complex[0.0896129289093057, 0.08670073786995046], {21, 34} -> - Complex[0.12372341411859573`, -0.16477324944202285`], {21, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {21, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {22, 23} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {22, 24} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], {22, 25} -> - Complex[0.09504874694484183, 0.252921972711526], {22, 26} -> - Complex[0.029111053747052022`, 0.03092252970487717], {22, 27} -> - 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PaneSelectorBox[{False -> GridBox[{{ + PaneBox[ + ButtonBox[ + DynamicBox[ + FEPrivate`FrontEndResource[ + "FEBitmaps", "SummaryBoxOpener"]], + ButtonFunction :> (Typeset`open$$ = True), Appearance -> + None, BaseStyle -> {}, Evaluator -> Automatic, Method -> + "Preemptive"], Alignment -> {Center, Center}, ImageSize -> + Dynamic[{ + Automatic, + 3.5 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[ + Magnification])}]], + GridBox[{{ + RowBox[{ + TagBox["\"Bare modes: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ RowBox[{"{", RowBox[{ InterpretationBox[ @@ -5865,45 +7319,46 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc InterpretationBox[ SubscriptBox["c", TemplateBox[{",", "\",\"", "4"}, "RowWithSeparators"]], - $CellContext`c[4]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox[ - "\"Initial occupation: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + $CellContext`c[4]]}], "}"}], "SummaryItem"]}]}, { + RowBox[{ + TagBox[ + "\"Initial occupation: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ RowBox[{"{", RowBox[{"1", ",", "0", ",", "1", ",", "0"}], "}"}], "SummaryItem"]}]}}, - GridBoxAlignment -> { - "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, AutoDelete -> - False, GridBoxItemSize -> { - "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, - GridBoxSpacings -> { - "Columns" -> {{2}}, "Rows" -> {{Automatic}}}, - BaseStyle -> { - ShowStringCharacters -> False, NumberMarks -> False, - PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, - GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, - AutoDelete -> False, - GridBoxItemSize -> { - "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, - BaselinePosition -> {1, 1}], True -> GridBox[{{ - PaneBox[ - ButtonBox[ - DynamicBox[ - FEPrivate`FrontEndResource["FEBitmaps", "SummaryBoxCloser"]], - ButtonFunction :> (Typeset`open$$ = False), Appearance -> - None, BaseStyle -> {}, Evaluator -> Automatic, Method -> - "Preemptive"], Alignment -> {Center, Center}, ImageSize -> - Dynamic[{ - Automatic, - 3.5 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[ - Magnification])}]], - GridBox[{{ - RowBox[{ - TagBox["\"Bare modes: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + GridBoxAlignment -> { + "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, AutoDelete -> + False, GridBoxItemSize -> { + "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, + GridBoxSpacings -> { + "Columns" -> {{2}}, "Rows" -> {{Automatic}}}, + BaseStyle -> { + ShowStringCharacters -> False, NumberMarks -> False, + PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, + GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, + AutoDelete -> False, + GridBoxItemSize -> { + "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, + BaselinePosition -> {1, 1}], True -> GridBox[{{ + PaneBox[ + ButtonBox[ + DynamicBox[ + FEPrivate`FrontEndResource[ + "FEBitmaps", "SummaryBoxCloser"]], + ButtonFunction :> (Typeset`open$$ = False), Appearance -> + None, BaseStyle -> {}, Evaluator -> Automatic, Method -> + "Preemptive"], Alignment -> {Center, Center}, ImageSize -> + Dynamic[{ + Automatic, + 3.5 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[ + Magnification])}]], + GridBox[{{ + RowBox[{ + TagBox["\"Bare modes: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ RowBox[{"{", RowBox[{ InterpretationBox[ @@ -5922,18 +7377,18 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc SubscriptBox["c", TemplateBox[{",", "\",\"", "4"}, "RowWithSeparators"]], $CellContext`c[4]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox[ - "\"Initial occupation: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + RowBox[{ + TagBox[ + "\"Initial occupation: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ RowBox[{"{", RowBox[{"1", ",", "0", ",", "1", ",", "0"}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox["\"Encoded modes: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + RowBox[{ + TagBox["\"Encoded modes: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ RowBox[{"{", RowBox[{ InterpretationBox[ @@ -5951,111 +7406,110 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "2", "1", "0"}, + TemplateBox[{",", "\",\"", "2", "2", "0"}, "RowWithSeparators"]], - $CellContext`c[2, 1, 0]], ",", + $CellContext`c[2, 2, 0]], ",", InterpretationBox[ SubscriptBox["c", - - TemplateBox[{",", "\",\"", "2", "1", "1"}, + TemplateBox[{",", "\",\"", "2", "2", "1"}, "RowWithSeparators"]], - $CellContext`c[2, 1, 1]], ",", + $CellContext`c[2, 2, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "4", "1"}, + TemplateBox[{",", "\",\"", "2", "1", "0"}, "RowWithSeparators"]], - $CellContext`c[3, 4, 1]], ",", + $CellContext`c[2, 1, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "4", "0"}, + TemplateBox[{",", "\",\"", "2", "1", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 4, 0]], ",", + $CellContext`c[2, 1, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "3", "1"}, + TemplateBox[{",", "\",\"", "3", "4", "0"}, "RowWithSeparators"]], - $CellContext`c[3, 3, 1]], ",", + $CellContext`c[3, 4, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "3", "0"}, + TemplateBox[{",", "\",\"", "3", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 3, 0]], ",", + $CellContext`c[3, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "2", "0"}, + TemplateBox[{",", "\",\"", "4", "3", "0"}, "RowWithSeparators"]], - $CellContext`c[3, 2, 0]], ",", + $CellContext`c[4, 3, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "2", "1"}, + TemplateBox[{",", "\",\"", "4", "3", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 2, 1]], ",", + $CellContext`c[4, 3, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "4", "0"}, + TemplateBox[{",", "\",\"", "5", "3", "1"}, "RowWithSeparators"]], - $CellContext`c[4, 4, 0]], ",", + $CellContext`c[5, 3, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "4", "1"}, + TemplateBox[{",", "\",\"", "5", "3", "0"}, "RowWithSeparators"]], - $CellContext`c[4, 4, 1]], ",", + $CellContext`c[5, 3, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "2", "1"}, + TemplateBox[{",", "\",\"", "6", "4", "0"}, "RowWithSeparators"]], - $CellContext`c[4, 2, 1]], ",", + $CellContext`c[6, 4, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "2", "0"}, + TemplateBox[{",", "\",\"", "6", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[4, 2, 0]], ",", + $CellContext`c[6, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "3", "1"}, + TemplateBox[{",", "\",\"", "6", "2", "1"}, "RowWithSeparators"]], - $CellContext`c[5, 3, 1]], ",", + $CellContext`c[6, 2, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "3", "0"}, + TemplateBox[{",", "\",\"", "6", "2", "0"}, "RowWithSeparators"]], - $CellContext`c[5, 3, 0]], ",", + $CellContext`c[6, 2, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "2", "1"}, + TemplateBox[{",", "\",\"", "6", "2", "1"}, "RowWithSeparators"]], - $CellContext`c[5, 2, 1]], ",", + $CellContext`c[6, 2, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "2", "0"}, + TemplateBox[{",", "\",\"", "6", "2", "0"}, "RowWithSeparators"]], - $CellContext`c[5, 2, 0]], ",", + $CellContext`c[6, 2, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "2", "1"}, + TemplateBox[{",", "\",\"", "6", "4", "0"}, "RowWithSeparators"]], - $CellContext`c[5, 2, 1]], ",", + $CellContext`c[6, 4, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "2", "0"}, + TemplateBox[{",", "\",\"", "6", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[5, 2, 0]], ",", + $CellContext`c[6, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", @@ -6071,74 +7525,51 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "2", "1"}, - "RowWithSeparators"]], - $CellContext`c[4, 2, 1]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "4", "2", "0"}, - "RowWithSeparators"]], - $CellContext`c[4, 2, 0]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "4", "4", "0"}, - "RowWithSeparators"]], - $CellContext`c[4, 4, 0]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "4", "4", "1"}, + TemplateBox[{",", "\",\"", "4", "3", "0"}, "RowWithSeparators"]], - $CellContext`c[4, 4, 1]], ",", + $CellContext`c[4, 3, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "2", "0"}, + TemplateBox[{",", "\",\"", "4", "3", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 2, 0]], ",", + $CellContext`c[4, 3, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "2", "1"}, + TemplateBox[{",", "\",\"", "3", "4", "0"}, "RowWithSeparators"]], - $CellContext`c[3, 2, 1]], ",", + $CellContext`c[3, 4, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "3", "1"}, + TemplateBox[{",", "\",\"", "3", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 3, 1]], ",", + $CellContext`c[3, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "3", "0"}, + TemplateBox[{",", "\",\"", "2", "1", "0"}, "RowWithSeparators"]], - $CellContext`c[3, 3, 0]], ",", + $CellContext`c[2, 1, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "4", "1"}, + TemplateBox[{",", "\",\"", "2", "1", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 4, 1]], ",", + $CellContext`c[2, 1, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "4", "0"}, + TemplateBox[{",", "\",\"", "2", "2", "0"}, "RowWithSeparators"]], - $CellContext`c[3, 4, 0]], ",", + $CellContext`c[2, 2, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "2", "1", "0"}, - "RowWithSeparators"]], - $CellContext`c[2, 1, 0]], ",", - InterpretationBox[ - SubscriptBox["c", - TemplateBox[{",", "\",\"", "2", "1", "1"}, + TemplateBox[{",", "\",\"", "2", "2", "1"}, "RowWithSeparators"]], - $CellContext`c[2, 1, 1]], ",", + $CellContext`c[2, 2, 1]], ",", InterpretationBox[ SubscriptBox["c", @@ -6151,10 +7582,10 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc TemplateBox[{",", "\",\"", "1", "3", "1"}, "RowWithSeparators"]], $CellContext`c[1, 3, 1]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox["\"Transformations: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + RowBox[{ + TagBox["\"Transformations: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ InterpretationBox[ RowBox[{ TagBox["NambuTransforms", "SummaryHead"], "[", @@ -6256,8 +7687,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmTKr6z 28B155YX9jfcl6+rmfbW/mRE7r/4r+9HzSEgDgDactH8 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -6265,9 +7696,9 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -6280,9 +7711,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc Scaled[0.025]], GridBox[{{ RowBox[{ - TagBox[ - "\"Specified elements: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", + TagBox["\"Specified elements: \"", + "SummaryItemAnnotation"], "\[InvisibleSpace]", TagBox["4", "SummaryItem"]}]}, { RowBox[{ TagBox["\"Dimensions: \"", "SummaryItemAnnotation"], @@ -6317,8 +7747,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmTKr6z 28B155YX9jfcl6+rmfbW/mRE7r/4r+9HzSEgDgDactH8 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -6326,9 +7756,9 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -6406,8 +7836,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Column"], "SummaryItem"]}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, - AutoDelete -> False, GridBoxItemSize -> { - "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, + AutoDelete -> False, GridBoxItemSize -> {"Columns" -> {{ + Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> {"Columns" -> {{2}}, "Rows" -> {{ Automatic}}}, BaseStyle -> {ShowStringCharacters -> False, NumberMarks -> False, PrintPrecision -> 3, @@ -6444,8 +7874,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmPitNH HACo2sx4 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -6453,9 +7883,9 @@ HACo2sx4 GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -6505,8 +7935,8 @@ HACo2sx4 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmPitNH HACo2sx4 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -6514,9 +7944,9 @@ HACo2sx4 GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -6581,13 +8011,13 @@ HACo2sx4 PaneBox[ ButtonBox[ DynamicBox[ - FEPrivate`FrontEndResource["FEBitmaps", - "SummaryBoxOpener"]], ButtonFunction :> (Typeset`open$$ = - True), Appearance -> None, BaseStyle -> {}, Evaluator -> - Automatic, Method -> "Preemptive"], Alignment -> { - Center, Center}, ImageSize -> Dynamic[{Automatic, - 3.5 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[ - Magnification])}]], + FEPrivate`FrontEndResource[ + "FEBitmaps", "SummaryBoxOpener"]], ButtonFunction :> ( + Typeset`open$$ = True), Appearance 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Complex[-0.06765757529077783, 0.13038007028245235`], {1, 24} -> Complex[ - 0.054818062753627404`, 0.18407880112585107`], {2, 25} -> - Complex[-0.17746045053315712`, 0.2097207706920651], {2, - 26} -> Complex[-0.2191443754011676, \ --0.15579730043133583`], {2, 27} -> - Complex[-0.05909814548140835, 0.07667698906457968], {2, - 28} -> Complex[-0.5009225822231967, \ --0.03036622844279574], {2, 29} -> - Complex[-0.006051982269297387, -0.008414767951100507], {2, - 30} -> - Complex[-0.33111266457208555`, -0.2799821244558118], {2, - 31} -> Complex[-0.17262974874231735`, - 0.03825515355084523], {2, 32} -> - Complex[0.0692138138097684, 0.20164942303248495`], {2, - 33} -> Complex[ - 0.35814065944152734`, -0.08293748621875244], {2, 34} -> - Complex[0.32545613852497657`, 0.10568804847511024`], {2, - 35} -> 1, {3, 4} -> - Complex[0.503636307020737, 0.], {3, 5} -> - Complex[-0.18704231819170578`, 0.30182786908398773`], {3, - 6} -> Complex[-0.13144217108963616`, \ --0.08045040304054488], {3, 7} -> - Complex[-0.25897033958870125`, 0.2062898932256956], {3, - 8} -> Complex[-0.17507327039387915`, \ --0.2690120226571733], {3, 9} -> - Complex[-0.2841944960267362, -0.0881056163125139], {3, - 10} -> Complex[-0.2521578356402413, - 0.01333219816254436], {3, 11} -> - Complex[0.15643971909026363`, 0.21034493673282548`], {3, + 0.020172727999101747`, 0.03449935263782891], {1, 25} -> + Complex[-0.2128973260243628, -0.2803118968875541], {1, + 26} -> Complex[ + 0.26488016647622287`, -0.03177814393460615], {1, 27} -> + Complex[0.13546634634545274`, -0.19241450807239194`], {1, + 28} -> Complex[-0.09765512477307971, \ +-0.4821278045577343], {1, 29} -> + Complex[-0.09661499346651439, 0.23954012515618292`], {1, + 30} -> Complex[ + 0.15997502039138747`, -0.45412395229305985`], {1, 32} -> + 1, {2, 3} -> + Complex[-0.13729046784846416`, -0.16136872833117036`], {2, + 4} -> Complex[ + 0.26087816486149346`, -0.0990678397300458], {2, 5} -> + Complex[-0.21598365653956714`, -0.09400730406176475], {2, + 6} -> Complex[-0.17155515501526808`, + 0.1668433676200188], {2, 7} -> + Complex[0.3366775563160397, -0.09992753883776476], {2, 8} -> + Complex[0.040650102227546676`, -0.037686955531505785`], { + 2, 9} -> Complex[ + 0.07078276202467412, -0.30788890986999096`], {2, 10} -> + Complex[0.2533574041138994, 0.2841723464925085], {2, 11} -> + Complex[0.036746036528397724`, 0.11894266930455437`], {2, 12} -> Complex[ - 0.07182371169440027, -0.13961968957305576`], {3, 13} -> - Complex[-0.26044059541670533`, -0.05145411756901592], {3, - 14} -> Complex[-0.08996062722681389, \ --0.04963088270675587], {3, 15} -> - Complex[0.27720818247658857`, -0.1557462430493763], {3, + 0.014982384821209789`, -0.13663234668804805`], {2, 13} -> + Complex[-0.005519120018070173, -0.32277555558099397`], {2, + 14} -> Complex[ + 0.11917354760172008`, 0.272212173030505], {2, 15} -> + Complex[-0.007195583582784125, 0.06896354235277449], {2, 16} -> Complex[ - 0.12372341411859573`, 0.16477324944202285`], {3, 17} -> - Complex[0.09968546178967824, 0.1683352007294286], {3, 18} -> - Complex[0.20846784571655388`, -0.1346840497441242], {3, - 19} -> Complex[0.09968546178967824, 0.1683352007294286], { - 3, 20} -> Complex[ - 0.20846784571655388`, -0.1346840497441242], {3, 21} -> - Complex[0.27720818247658857`, -0.1557462430493763], {3, + 0.08124011098625433, -0.0559800004451918], {2, 17} -> + Complex[-0.007195583582784125, 0.06896354235277449], {2, + 18} -> Complex[ + 0.08124011098625433, -0.0559800004451918], {2, 19} -> + Complex[-0.005519120018070173, -0.32277555558099397`], {2, + 20} -> Complex[ + 0.11917354760172008`, 0.272212173030505], {2, 21} -> + Complex[0.036746036528397724`, 0.11894266930455437`], {2, 22} -> Complex[ - 0.12372341411859573`, 0.16477324944202285`], {3, 23} -> - Complex[-0.26044059541670533`, -0.05145411756901592], {3, - 24} -> Complex[-0.08996062722681389, \ --0.04963088270675587], {3, 25} -> - Complex[0.15643971909026363`, 0.21034493673282548`], {3, - 26} -> Complex[ - 0.07182371169440027, -0.13961968957305576`], {3, 27} -> - Complex[-0.2841944960267362, -0.0881056163125139], {3, - 28} -> Complex[-0.2521578356402413, - 0.01333219816254436], {3, 29} -> - Complex[-0.25897033958870125`, 0.2062898932256956], {3, - 30} -> Complex[-0.17507327039387915`, \ --0.2690120226571733], {3, 31} -> - Complex[-0.18704231819170578`, 0.30182786908398773`], {3, - 32} -> Complex[-0.13144217108963616`, \ --0.08045040304054488], {3, 33} -> - Complex[0.10920936073748258`, -0.03308934997069378], {3, - 34} -> Complex[0.503636307020737, 0.], {3, 35} -> - Complex[0.32545613852497657`, -0.10568804847511024`], {3, - 36} -> Complex[ - 0.13232155584348976`, 0.2865643065030182], {4, 5} -> - Complex[-0.06621032034440741, -0.10280421447880453`], {4, + 0.014982384821209789`, -0.13663234668804805`], {2, 23} -> + Complex[0.07078276202467412, -0.30788890986999096`], {2, + 24} -> Complex[0.2533574041138994, 0.2841723464925085], { + 2, 25} -> Complex[ + 0.3366775563160397, -0.09992753883776476], {2, 26} -> + Complex[0.040650102227546676`, -0.037686955531505785`], { + 2, 27} -> + Complex[-0.21598365653956714`, -0.09400730406176475], {2, + 28} -> Complex[-0.17155515501526808`, + 0.1668433676200188], {2, 29} -> + Complex[-0.13729046784846416`, -0.16136872833117036`], {2, + 30} -> Complex[ + 0.26087816486149346`, -0.0990678397300458], {2, 31} -> + 1, {3, 4} -> Complex[0.5899686071991268, 0.], {3, 5} -> + Complex[0.19808970731622894`, 0.005640195231622968], {3, 6} -> Complex[ - 0.02410019796458368, -0.07846271521707039], {4, 7} -> - Complex[0.09671382069915349, 0.31356085339344003`], {4, - 8} -> Complex[-0.07400883501291561, \ --0.04266786697540802], {4, 9} -> - Complex[0.16634996387262246`, 0.22507239863090805`], {4, - 10} -> Complex[-0.09116148563358083, \ --0.08672925004639812], {4, 11} -> - Complex[-0.07901145315910152, 0.12060096224364471`], {4, + 0.05442442802981287, -0.14858688449114604`], {3, 7} -> + Complex[0.1938167265709829, -0.16890318060989123`], {3, + 8} -> Complex[ + 0.26723944870955263`, 0.18013517883484725`], {3, 9} -> + Complex[-0.06778091820891004, -0.11263382211139406`], {3, + 10} -> Complex[ + 0.11017975259513822`, 0.24891234255610362`], {3, 11} -> + Complex[0.09392733334800707, 0.23700943627758006`], {3, 12} -> Complex[ - 0.03971739520512007, -0.01279589611612527], {4, 13} -> - Complex[-0.06287334385176857, -0.039875195608224154`], {4, - 14} -> Complex[-0.24146580052003364`, - 0.11027596484454191`], {4, 15} -> - Complex[-0.10985803268384983`, -0.010763626429992096`], { - 4, 16} -> Complex[ - 0.0896129289093057, -0.08670073786995046], {4, 17} -> - Complex[-0.1355879777222275, -0.08845876363140671], {4, - 18} -> Complex[-0.1606002091580235, \ --0.04277649306205672], {4, 19} -> - Complex[-0.1355879777222275, -0.08845876363140671], {4, - 20} -> Complex[-0.1606002091580235, \ --0.04277649306205672], {4, 21} -> - Complex[-0.10985803268384983`, -0.010763626429992096`], { - 4, 22} -> Complex[ - 0.0896129289093057, -0.08670073786995046], {4, 23} -> - Complex[-0.06287334385176857, -0.039875195608224154`], {4, - 24} -> Complex[-0.24146580052003364`, - 0.11027596484454191`], {4, 25} -> - Complex[-0.07901145315910152, 0.12060096224364471`], {4, + 0.10046002901967245`, -0.19478861449336152`], {3, 13} -> + Complex[-0.14920571596040955`, 0.004668871253339259], {3, + 14} -> Complex[ + 0.27858075604955634`, 0.030371398383274933`], {3, 15} -> + Complex[0.1559809531435565, -0.03223196939623798], {3, + 16} -> Complex[ + 0.0843470356919863, 0.21628437576571974`], {3, 17} -> + Complex[0.1559809531435565, -0.03223196939623798], {3, + 18} -> Complex[ + 0.0843470356919863, 0.21628437576571974`], {3, 19} -> + Complex[-0.14920571596040955`, 0.004668871253339259], {3, + 20} -> Complex[ + 0.27858075604955634`, 0.030371398383274933`], {3, 21} -> + Complex[0.09392733334800707, 0.23700943627758006`], {3, + 22} -> Complex[ + 0.10046002901967245`, -0.19478861449336152`], {3, 23} -> + Complex[-0.06778091820891004, -0.11263382211139406`], {3, + 24} -> Complex[ + 0.11017975259513822`, 0.24891234255610362`], {3, 25} -> + Complex[0.1938167265709829, -0.16890318060989123`], {3, 26} -> Complex[ - 0.03971739520512007, -0.01279589611612527], {4, 27} -> - Complex[0.16634996387262246`, 0.22507239863090805`], {4, - 28} -> Complex[-0.09116148563358083, \ --0.08672925004639812], {4, 29} -> - Complex[0.09671382069915349, 0.31356085339344003`], {4, - 30} -> Complex[-0.07400883501291561, \ --0.04266786697540802], {4, 31} -> - Complex[-0.06621032034440741, -0.10280421447880453`], {4, + 0.26723944870955263`, 0.18013517883484725`], {3, 27} -> + Complex[0.19808970731622894`, 0.005640195231622968], {3, + 28} -> Complex[ + 0.05442442802981287, -0.14858688449114604`], {3, 29} -> + Complex[-0.26639286607489965`, 0.0014004115937454042`], { + 3, 30} -> Complex[0.5899686071991268, 0.], {3, 31} -> + Complex[0.26087816486149346`, 0.0990678397300458], {3, 32} -> Complex[ - 0.02410019796458368, -0.07846271521707039], {4, 33} -> - Complex[0.49636369297926336`, 0.], {4, 34} -> - Complex[0.10920936073748258`, 0.03308934997069378], {4, - 35} -> Complex[ - 0.35814065944152734`, 0.08293748621875244], {4, 36} -> - Complex[-0.31535699021917946`, -0.2915805668549216], {5, - 6} -> Complex[0.3055029437591038, 0.], {5, 7} -> - Complex[-0.08951618372581999, -0.1398945044720049], {5, - 8} -> Complex[-0.011194174176657017`, - 0.18050668434763023`], {5, 9} -> - Complex[0.10082205206266875`, 0.054783259519745345`], {5, - 10} -> Complex[ - 0.05541102122851009, 0.15479143125784764`], {5, 11} -> - Complex[-0.06540345886434173, 0.03247283136099954], {5, - 12} -> Complex[-0.10297491838992004`, - 0.24585233281751626`], {5, 13} -> - Complex[0.20153478327455962`, 0.091416725802769], {5, 14} -> - Complex[0.11263046571451424`, -0.15943812713557814`], {5, - 15} -> Complex[ - 0.01768967427913295, 0.07030539787536907], {5, 16} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, - 17} -> Complex[-0.0863909413535702, \ --0.18155756040588286`], {5, 18} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, - 19} -> Complex[-0.0863909413535702, \ --0.18155756040588286`], {5, 20} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, + 0.15997502039138747`, 0.45412395229305985`], {4, 5} -> + Complex[-0.05442442802981293, -0.14858688449114604`], {4, + 6} -> Complex[-0.2333099993372808, -0.2271710392758403], { + 4, 7} -> Complex[-0.3396867137428587, + 0.13646163767421743`], {4, 8} -> + Complex[0.10734135762637748`, -0.19617830350078105`], {4, + 9} -> Complex[0.06550651054263391, 0.09165221630004965], { + 4, 10} -> Complex[ + 0.10029581103120666`, 0.01981792746027898], {4, 11} -> + Complex[0.012301908189476976`, -0.29819031736230395`], {4, + 12} -> + Complex[-0.0832461030605116, -0.0007900461969849934], {4, + 13} -> Complex[ + 0.1695753382061036, -0.12525309112556196`], {4, 14} -> + Complex[-0.15607378409602476`, 0.1439965761825238], {4, + 15} -> Complex[-0.20988883047294088`, \ +-0.03544251396822046], {4, 16} -> + Complex[0.1504904090013878, -0.12024277886252119`], {4, + 17} -> Complex[-0.20988883047294088`, \ +-0.03544251396822046], {4, 18} -> + Complex[0.1504904090013878, -0.12024277886252119`], {4, + 19} -> Complex[ + 0.1695753382061036, -0.12525309112556196`], {4, 20} -> + Complex[-0.15607378409602476`, 0.1439965761825238], {4, 21} -> Complex[ - 0.01768967427913295, 0.07030539787536907], {5, 22} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, - 23} -> Complex[0.20153478327455962`, 0.091416725802769], { - 5, 24} -> Complex[ - 0.11263046571451424`, -0.15943812713557814`], {5, 25} -> - Complex[-0.06540345886434173, 0.03247283136099954], {5, - 26} -> Complex[-0.10297491838992004`, - 0.24585233281751626`], {5, 27} -> - Complex[0.10082205206266875`, 0.054783259519745345`], {5, - 28} -> Complex[ - 0.05541102122851009, 0.15479143125784764`], {5, 29} -> - Complex[-0.08951618372581999, -0.1398945044720049], {5, - 30} -> Complex[-0.011194174176657017`, - 0.18050668434763023`], {5, 31} -> - Complex[0.05957085045120364, -0.0686364172150267], {5, - 32} -> Complex[0.3055029437591038, 0.], {5, 33} -> - Complex[0.02410019796458368, 0.07846271521707039], {5, - 34} -> Complex[-0.13144217108963616`, - 0.08045040304054488], {5, 35} -> - Complex[0.0692138138097684, -0.20164942303248495`], {5, - 36} -> Complex[-0.0838892214676934, \ --0.35906971113552444`], {6, 7} -> - Complex[0.11313471290638971`, 0.0906083646195344], {6, 8} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, - 9} -> Complex[-0.10668413246766638`, - 0.2594729794590618], {6, 10} -> - Complex[0.18344402773596857`, 0.12440237009032867`], {6, + 0.012301908189476976`, -0.29819031736230395`], {4, 22} -> + Complex[-0.0832461030605116, -0.0007900461969849934], {4, + 23} -> Complex[ + 0.06550651054263391, 0.09165221630004965], {4, 24} -> + Complex[0.10029581103120666`, 0.01981792746027898], {4, + 25} -> Complex[-0.3396867137428587, + 0.13646163767421743`], {4, 26} -> + Complex[0.10734135762637748`, -0.19617830350078105`], {4, + 27} -> Complex[-0.05442442802981293, \ +-0.14858688449114604`], {4, 28} -> + Complex[-0.2333099993372808, -0.2271710392758403], {4, + 29} -> Complex[0.4100313928008735, 0.], {4, 30} -> + Complex[-0.26639286607489965`, -0.0014004115937454042`], { + 4, 31} -> Complex[-0.13729046784846416`, + 0.16136872833117036`], {4, 32} -> + Complex[-0.09661499346651439, -0.23954012515618292`], {5, + 6} -> Complex[0.7973608946322628, 0.], {5, 7} -> + Complex[0.28259964162527906`, -0.4055803745838325], {5, + 8} -> Complex[-0.14372193892286123`, + 0.45619687405618636`], {5, 9} -> + Complex[-0.0964564876770649, -0.04387994353782962], {5, + 10} -> Complex[-0.31513742950926715`, + 0.04912752076041336], {5, 11} -> + Complex[0.1668226451310518, 0.2990474561368582], {5, 12} -> + Complex[0.16980607400071762`, -0.0009413154054021405], {5, + 13} -> Complex[ + 0.07063495593763104, 0.18915546654520524`], {5, 14} -> + Complex[-0.1475728871036449, -0.14922079251460418`], {5, + 15} -> Complex[ + 0.23396340114239164`, -0.14836338195316717`], {5, 16} -> + Complex[-0.14277268958862907`, 0.2479052297980392], {5, + 17} -> Complex[ + 0.23396340114239164`, -0.14836338195316717`], {5, 18} -> + Complex[-0.14277268958862907`, 0.2479052297980392], {5, + 19} -> Complex[ + 0.07063495593763104, 0.18915546654520524`], {5, 20} -> + Complex[-0.1475728871036449, -0.14922079251460418`], {5, + 21} -> Complex[0.1668226451310518, 0.2990474561368582], { + 5, 22} -> Complex[ + 0.16980607400071762`, -0.0009413154054021405], {5, 23} -> + Complex[-0.0964564876770649, -0.04387994353782962], {5, + 24} -> Complex[-0.31513742950926715`, + 0.04912752076041336], {5, 25} -> + Complex[0.28259964162527906`, -0.4055803745838325], {5, + 26} -> Complex[-0.14372193892286123`, + 0.45619687405618636`], {5, 27} -> + Complex[0.1366899433196731, 0.22179319605394876`], {5, + 28} -> Complex[0.7973608946322628, 0.], {5, 29} -> + Complex[-0.2333099993372808, 0.2271710392758403], {5, 30} -> + Complex[0.05442442802981287, 0.14858688449114604`], {5, + 31} -> Complex[-0.17155515501526808`, \ +-0.1668433676200188], {5, 32} -> + Complex[-0.09765512477307971, 0.4821278045577343], {6, 7} -> + Complex[-0.04788255890923551, -0.12484288796949913`], {6, + 8} -> Complex[0.17363309069570285`, 0.1403167246372976], { + 6, 9} -> Complex[-0.05062234940479168, + 0.059412074076411546`], {6, 10} -> + Complex[-0.05565875071499052, 0.09437594864128791], {6, 11} -> Complex[ - 0.04881033618836923, -0.3767537051917446], {6, 12} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {6, + 0.11084673340471671`, 0.07367368444009487], {6, 12} -> + Complex[0.05755533995669046, -0.07401317879009213], {6, 13} -> Complex[ - 0.03210691866533716, 0.25866941133955584`], {6, 14} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {6, - 15} -> Complex[-0.27597397639459753`, \ --0.2023899803882464], {6, 16} -> - Complex[0.06561103865616492, -0.04037752804772983], {6, - 17} -> Complex[0.1302477399556314, -0.104114370134477], { - 6, 18} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, - 19} -> Complex[0.1302477399556314, -0.104114370134477], { - 6, 20} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, - 21} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {6, - 22} -> Complex[ - 0.06561103865616492, -0.04037752804772983], {6, 23} -> - Complex[0.03210691866533716, 0.25866941133955584`], {6, - 24} -> Complex[-0.1091396557759862, \ --0.054766912594803374`], {6, 25} -> - Complex[0.04881033618836923, -0.3767537051917446], {6, - 26} -> Complex[-0.05197448003562596, - 0.034035129192128775`], {6, 27} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {6, - 28} -> Complex[ - 0.18344402773596857`, 0.12440237009032867`], {6, 29} -> - Complex[0.11313471290638971`, 0.0906083646195344], {6, - 30} -> Complex[-0.06282282822605365, - 0.17443733981734005`], {6, 31} -> - Complex[0.5058138015078811, 0.], {6, 32} -> - Complex[0.05957085045120364, 0.0686364172150267], {6, 33} -> - Complex[-0.06621032034440741, 0.10280421447880453`], {6, - 34} -> Complex[-0.18704231819170578`, \ --0.30182786908398773`], {6, 35} -> - Complex[-0.17262974874231735`, -0.03825515355084523], {6, - 36} -> Complex[ - 0.07140571807962026, -0.3254707548282041], {7, 8} -> - Complex[0.3480244926609176, 0.], {7, 9} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {7, - 10} -> Complex[ - 0.22196866627101539`, -0.20220472842758744`], {7, 11} -> - Complex[-0.07072413917244547, -0.06080711260518379], {7, - 12} -> Complex[0.2158761295291703, 0.079839801475396], {7, - 13} -> Complex[ - 0.10074068312316217`, -0.24982130549270182`], {7, 14} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {7, - 15} -> Complex[-0.02849651545902821, - 0.13038883546342855`], {7, 16} -> - Complex[-0.218113151712259, 0.025091517498334166`], {7, - 17} -> Complex[-0.19090563198557167`, - 0.11085568682814102`], {7, 18} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {7, - 19} -> Complex[-0.19090563198557167`, - 0.11085568682814102`], {7, 20} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {7, - 21} -> Complex[-0.02849651545902821, - 0.13038883546342855`], {7, 22} -> - Complex[-0.218113151712259, 0.025091517498334166`], {7, - 23} -> Complex[ - 0.10074068312316217`, -0.24982130549270182`], {7, 24} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {7, - 25} -> - Complex[-0.07072413917244547, -0.06080711260518379], {7, - 26} -> Complex[0.2158761295291703, 0.079839801475396], {7, - 27} -> Complex[ - 0.13690201400056437`, -0.21116370706323376`], {7, 28} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {7, - 29} -> Complex[-0.015725352039344952`, \ --0.1534965717731505], {7, 30} -> Complex[0.3480244926609176, 0.], {7, 31} -> - Complex[-0.06282282822605365, -0.17443733981734005`], {7, - 32} -> Complex[-0.011194174176657017`, \ --0.18050668434763023`], {7, 33} -> - Complex[-0.07400883501291561, 0.04266786697540802], {7, - 34} -> Complex[-0.17507327039387915`, - 0.2690120226571733], {7, 35} -> - Complex[-0.33111266457208555`, 0.2799821244558118], {7, - 36} -> Complex[-0.32833718354949015`, - 0.08613557464795678], {8, 9} -> - Complex[0.32107941916226146`, 0.09232207202497354], {8, - 10} -> Complex[ - 0.020907170696056646`, -0.009826517437731715], {8, 11} -> - Complex[0.017491034151456156`, -0.1422934683362202], {8, - 12} -> Complex[-0.09078438719781487, \ --0.08387695970470208], {8, 13} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {8, + 0.005055667009208006, 0.1278205163933677], {6, 14} -> + Complex[0.019232961701569087`, -0.07895370068527609], {6, + 15} -> Complex[ + 0.0703816300525041, -0.09831495930430345], {6, 16} -> + Complex[0.05526746191692408, 0.16679705600024786`], {6, + 17} -> Complex[ + 0.0703816300525041, -0.09831495930430345], {6, 18} -> + Complex[0.05526746191692408, 0.16679705600024786`], {6, + 19} -> Complex[ + 0.005055667009208006, 0.1278205163933677], {6, 20} -> + Complex[0.019232961701569087`, -0.07895370068527609], {6, + 21} -> Complex[ + 0.11084673340471671`, 0.07367368444009487], {6, 22} -> + Complex[0.05755533995669046, -0.07401317879009213], {6, + 23} -> Complex[-0.05062234940479168, + 0.059412074076411546`], {6, 24} -> + Complex[-0.05565875071499052, 0.09437594864128791], {6, + 25} -> Complex[-0.04788255890923551, \ +-0.12484288796949913`], {6, 26} -> + Complex[0.17363309069570285`, 0.1403167246372976], {6, + 27} -> Complex[0.20263910536773755`, 0.], {6, 28} -> + Complex[0.1366899433196731, -0.22179319605394876`], {6, + 29} -> Complex[-0.05442442802981293, + 0.14858688449114604`], {6, 30} -> + Complex[0.19808970731622894`, -0.005640195231622968], {6, + 31} -> Complex[-0.21598365653956714`, + 0.09400730406176475], {6, 32} -> + Complex[0.13546634634545274`, 0.19241450807239194`], {7, + 8} -> Complex[0.44279991664860185`, 0.], {7, 9} -> + Complex[-0.07482735080148525, 0.01554709808796357], {7, + 10} -> Complex[0.22912253169347, 0.25555554669124914`], { + 7, 11} -> Complex[ + 0.23530920684103981`, -0.0909192260612194], {7, 12} -> + Complex[-0.021450925664317888`, -0.20231262751067364`], { + 7, 13} -> Complex[ + 0.022865123054102737`, -0.04960709547698468], {7, 14} -> + Complex[0.08074598001208205, 0.08855457473741418], {7, + 15} -> Complex[-0.06038101273760845, \ +-0.13919179950515956`], {7, 16} -> + Complex[0.2559730175620584, 0.12078716288411598`], {7, + 17} -> Complex[-0.06038101273760845, \ +-0.13919179950515956`], {7, 18} -> + Complex[0.2559730175620584, 0.12078716288411598`], {7, + 19} -> Complex[ + 0.022865123054102737`, -0.04960709547698468], {7, 20} -> + Complex[0.08074598001208205, 0.08855457473741418], {7, + 21} -> Complex[ + 0.23530920684103981`, -0.0909192260612194], {7, 22} -> + Complex[-0.021450925664317888`, -0.20231262751067364`], { + 7, 23} -> Complex[-0.07482735080148525, + 0.01554709808796357], {7, 24} -> + Complex[0.22912253169347, 0.25555554669124914`], {7, 25} -> + Complex[-0.25986751190259594`, -0.19937008578078047`], {7, + 26} -> Complex[0.44279991664860185`, 0.], {7, 27} -> + Complex[0.17363309069570285`, -0.1403167246372976], {7, + 28} -> Complex[-0.14372193892286123`, \ +-0.45619687405618636`], {7, 29} -> + Complex[0.10734135762637748`, 0.19617830350078105`], {7, + 30} -> Complex[ + 0.26723944870955263`, -0.18013517883484725`], {7, 31} -> + Complex[0.040650102227546676`, 0.037686955531505785`], {7, + 32} -> Complex[ + 0.26488016647622287`, 0.03177814393460615], {8, 9} -> + Complex[0.06308937077219877, -0.16425756045192152`], {8, + 10} -> Complex[-0.18321791222949194`, + 0.035808072295513985`], {8, 11} -> + Complex[-0.11348480027122035`, 0.34468442336798244`], {8, + 12} -> Complex[ + 0.14683816981476766`, 0.034502058514711414`], {8, 13} -> + Complex[-0.05181977912767945, 0.037809566636026526`], {8, 14} -> Complex[ - 0.015573345706232422`, 0.33611710368003506`], {8, 15} -> - Complex[-0.3170629158392618, 0.07863950467973177], {8, - 16} -> Complex[-0.07025866437087314, \ --0.18394307455842968`], {8, 17} -> - Complex[-0.06511122587857304, -0.01569343622580683], {8, - 18} -> Complex[-0.3429240772478055, - 0.12113458402956634`], {8, 19} -> - Complex[-0.06511122587857304, -0.01569343622580683], {8, - 20} -> Complex[-0.3429240772478055, - 0.12113458402956634`], {8, 21} -> - Complex[-0.3170629158392618, 0.07863950467973177], {8, - 22} -> - Complex[-0.07025866437087314, -0.18394307455842968`], {8, - 23} -> Complex[-0.03694461851812731, - 0.11992171449363792`], {8, 24} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {8, - 25} -> Complex[ - 0.017491034151456156`, -0.1422934683362202], {8, 26} -> - Complex[-0.09078438719781487, -0.08387695970470208], {8, - 27} -> Complex[ - 0.32107941916226146`, 0.09232207202497354], {8, 28} -> - Complex[0.020907170696056646`, -0.009826517437731715], {8, - 29} -> Complex[0.5500421302238756, 0.], {8, 30} -> - Complex[-0.015725352039344952`, 0.1534965717731505], {8, - 31} -> Complex[ - 0.11313471290638971`, -0.0906083646195344], {8, 32} -> - Complex[-0.08951618372581999, 0.1398945044720049], {8, - 33} -> Complex[ - 0.09671382069915349, -0.31356085339344003`], {8, 34} -> - Complex[-0.25897033958870125`, -0.2062898932256956], {8, - 35} -> Complex[-0.006051982269297387, - 0.008414767951100507], {8, 36} -> - Complex[-0.21414311351504042`, -0.06573453711443833], {9, - 10} -> Complex[0.33314595779251727`, 0.], {9, 11} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {9, - 12} -> Complex[ - 0.14020706236902425`, 0.157106453123418], {9, 13} -> - Complex[0.19742335371429923`, -0.09763016245015396], {9, - 14} -> Complex[-0.09249860156321268, \ --0.12601316051490963`], {9, 15} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {9, - 16} -> Complex[-0.11316770831298564`, \ --0.08944943686956167], {9, 17} -> - Complex[-0.1350116019726202, -0.04516801561911384], {9, - 18} -> Complex[-0.09261261877802832, \ --0.1270548580331935], {9, 19} -> - Complex[-0.1350116019726202, -0.04516801561911384], {9, - 20} -> Complex[-0.09261261877802832, \ --0.1270548580331935], {9, 21} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {9, - 22} -> Complex[-0.11316770831298564`, \ --0.08944943686956167], {9, 23} -> - Complex[0.19742335371429923`, -0.09763016245015396], {9, - 24} -> Complex[-0.09249860156321268, \ --0.12601316051490963`], {9, 25} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {9, - 26} -> Complex[ - 0.14020706236902425`, 0.157106453123418], {9, 27} -> - Complex[0.10214442350629199`, 0.026260413784740505`], {9, - 28} -> Complex[0.33314595779251727`, 0.], {9, 29} -> - Complex[0.020907170696056646`, 0.009826517437731715], {9, + 0.05350396017855871, -0.038145366086212794`], {8, 15} -> + Complex[0.21051246235757812`, 0.08951514239750463], {8, + 16} -> Complex[-0.1855462901651881, + 0.08953347157789894], {8, 17} -> + Complex[0.21051246235757812`, 0.08951514239750463], {8, + 18} -> Complex[-0.1855462901651881, + 0.08953347157789894], {8, 19} -> + Complex[-0.05181977912767945, 0.037809566636026526`], {8, + 20} -> Complex[ + 0.05350396017855871, -0.038145366086212794`], {8, 21} -> + Complex[-0.11348480027122035`, 0.34468442336798244`], {8, + 22} -> Complex[ + 0.14683816981476766`, 0.034502058514711414`], {8, 23} -> + Complex[0.06308937077219877, -0.16425756045192152`], {8, + 24} -> Complex[-0.18321791222949194`, + 0.035808072295513985`], {8, 25} -> + Complex[0.5333747400652373, 0.], {8, 26} -> + Complex[-0.25986751190259594`, 0.19937008578078047`], {8, + 27} -> Complex[-0.04788255890923551, + 0.12484288796949913`], {8, 28} -> + Complex[0.28259964162527906`, 0.4055803745838325], {8, + 29} -> Complex[-0.3396867137428587, \ +-0.13646163767421743`], {8, 30} -> + Complex[0.1938167265709829, 0.16890318060989123`], {8, + 31} -> Complex[0.3366775563160397, 0.09992753883776476], { + 8, 32} -> Complex[-0.2128973260243628, + 0.2803118968875541], {9, 10} -> + Complex[0.42635779992285405`, 0.], {9, 11} -> + Complex[0.06842480050902869, -0.15505501766299976`], {9, + 12} -> Complex[-0.13939394787264447`, \ +-0.13747106056552227`], {9, 13} -> + Complex[-0.15768324024018812`, -0.14328868692391553`], {9, + 14} -> Complex[ + 0.2643754685221928, 0.07682893410517902], {9, 15} -> + Complex[-0.07538887957770507, 0.014151525468183115`], {9, + 16} -> Complex[ + 0.1920939879748598, -0.10630694451257516`], {9, 17} -> + Complex[-0.07538887957770507, 0.014151525468183115`], {9, + 18} -> Complex[ + 0.1920939879748598, -0.10630694451257516`], {9, 19} -> + Complex[-0.15768324024018812`, -0.14328868692391553`], {9, + 20} -> Complex[ + 0.2643754685221928, 0.07682893410517902], {9, 21} -> + Complex[0.06842480050902869, -0.15505501766299976`], {9, + 22} -> Complex[-0.13939394787264447`, \ +-0.13747106056552227`], {9, 23} -> + Complex[-0.11019599040362683`, -0.05916418261795878], {9, + 24} -> Complex[0.42635779992285405`, 0.], {9, 25} -> + Complex[-0.18321791222949194`, -0.035808072295513985`], { + 9, 26} -> Complex[ + 0.22912253169347, -0.25555554669124914`], {9, 27} -> + Complex[-0.05565875071499052, -0.09437594864128791], {9, + 28} -> Complex[-0.31513742950926715`, \ +-0.04912752076041336], {9, 29} -> + Complex[0.10029581103120666`, -0.01981792746027898], {9, 30} -> Complex[ - 0.22196866627101539`, 0.20220472842758744`], {9, 31} -> - Complex[0.18344402773596857`, -0.12440237009032867`], {9, - 32} -> Complex[ - 0.05541102122851009, -0.15479143125784764`], {9, 33} -> - Complex[-0.09116148563358083, 0.08672925004639812], {9, - 34} -> Complex[-0.2521578356402413, \ --0.01333219816254436], {9, 35} -> - Complex[-0.5009225822231967, 0.03036622844279574], {9, - 36} -> Complex[-0.1821537065194496, -0.1809373735116714], \ -{10, 11} -> Complex[-0.10523618574474686`, 0.07147202526604769], {10, 12} -> - Complex[-0.002703366170010074, 0.1342165202528226], {10, - 13} -> Complex[ - 0.19754043867481771`, -0.06710821743420367], {10, 14} -> - Complex[0.04387227616028566, 0.169253767952832], {10, 15} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {10, - 16} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], { + 0.11017975259513822`, -0.24891234255610362`], {9, 31} -> + Complex[0.2533574041138994, -0.2841723464925085], {9, 32} -> + Complex[0.020172727999101747`, -0.03449935263782891], {10, + 11} -> + Complex[-0.08930473416931554, -0.007048096041707605], {10, + 12} -> Complex[ + 0.03975514319435934, 0.05151250369655895], {10, 13} -> + Complex[0.12032699300738342`, -0.048441152283289074`], { + 10, 14} -> + Complex[-0.12725910621181818`, 0.07905444855796712], {10, + 15} -> Complex[-0.04860629109081113, + 0.04246480370392383], {10, 16} -> + Complex[-0.026647065623548363`, -0.026330641239406972`], { 10, 17} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {10, - 18} -> Complex[-0.14528807272467686`, - 0.1963794168890443], {10, 19} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {10, - 20} -> Complex[-0.14528807272467686`, - 0.1963794168890443], {10, 21} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {10, - 22} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], { - 10, 23} -> - Complex[0.19754043867481771`, -0.06710821743420367], {10, - 24} -> Complex[0.04387227616028566, 0.169253767952832], { - 10, 25} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {10, - 26} -> Complex[-0.002703366170010074, - 0.1342165202528226], {10, 27} -> - Complex[0.4666612200115955, 0.], {10, 28} -> - Complex[0.10214442350629199`, -0.026260413784740505`], { - 10, 29} -> - Complex[0.32107941916226146`, -0.09232207202497354], {10, - 30} -> Complex[ - 0.13690201400056437`, 0.21116370706323376`], {10, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {10, - 32} -> Complex[ - 0.10082205206266875`, -0.054783259519745345`], {10, 33} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {10, - 34} -> Complex[-0.2841944960267362, - 0.0881056163125139], {10, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {10, - 36} -> Complex[-0.45453234415494154`, \ --0.154590481023119], {11, 12} -> Complex[0.2638704815566899, 0.], {11, 13} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, - 14} -> Complex[-0.18045658269343973`, \ --0.06407563305713601], {11, 15} -> - Complex[0.029111053747052022`, -0.03092252970487717], {11, - 16} -> Complex[-0.10573743372545524`, - 0.06148505498780174], {11, 17} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {11, - 18} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, - 19} -> Complex[-0.12879874504374314`, - 0.15781559429956118`], {11, 20} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, - 21} -> Complex[ - 0.029111053747052022`, -0.03092252970487717], {11, 22} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {11, - 23} -> Complex[-0.017700618374932788`, \ --0.229189990199907], {11, 24} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {11, - 25} -> Complex[ - 0.03589005743520234, -0.010244248183710654`], {11, 26} -> - Complex[0.2638704815566899, 0.], {11, 27} -> - Complex[-0.002703366170010074, -0.1342165202528226], {11, + Complex[-0.04860629109081113, 0.04246480370392383], {10, + 18} -> Complex[-0.026647065623548363`, \ +-0.026330641239406972`], {10, 19} -> + Complex[0.12032699300738342`, -0.048441152283289074`], { + 10, 20} -> + Complex[-0.12725910621181818`, 0.07905444855796712], {10, + 21} -> Complex[-0.08930473416931554, \ +-0.007048096041707605], {10, 22} -> + Complex[0.03975514319435934, 0.05151250369655895], {10, + 23} -> Complex[0.135726527386378, 0.], {10, 24} -> + Complex[-0.11019599040362683`, 0.05916418261795878], {10, + 25} -> Complex[ + 0.06308937077219877, 0.16425756045192152`], {10, 26} -> + Complex[-0.07482735080148525, -0.01554709808796357], {10, + 27} -> Complex[-0.05062234940479168, \ +-0.059412074076411546`], {10, 28} -> + Complex[-0.0964564876770649, 0.04387994353782962], {10, + 29} -> Complex[ + 0.06550651054263391, -0.09165221630004965], {10, 30} -> + Complex[-0.06778091820891004, 0.11263382211139406`], {10, + 31} -> Complex[ + 0.07078276202467412, 0.30788890986999096`], {10, 32} -> + Complex[-0.06765757529077783, -0.13038007028245235`], {11, + 12} -> Complex[0.1272054475990647, 0.], {11, 13} -> + Complex[0.03249739020896987, -0.007688837072184563], {11, + 14} -> Complex[-0.03666874742079528, + 0.07798472902890301], {11, 15} -> + Complex[0.07267050201545142, 0.011714058141280672`], {11, + 16} -> Complex[-0.07116526154293495, + 0.12925982418550483`], {11, 17} -> + Complex[0.07267050201545142, 0.011714058141280672`], {11, + 18} -> Complex[-0.07116526154293495, + 0.12925982418550483`], {11, 19} -> + Complex[0.03249739020896987, -0.007688837072184563], {11, + 20} -> Complex[-0.03666874742079528, + 0.07798472902890301], {11, 21} -> + Complex[-0.013539473736158613`, 0.13067968221082676`], { + 11, 22} -> Complex[0.1272054475990647, 0.], {11, 23} -> + Complex[0.03975514319435934, -0.05151250369655895], {11, + 24} -> Complex[-0.13939394787264447`, + 0.13747106056552227`], {11, 25} -> + Complex[0.14683816981476766`, -0.034502058514711414`], { + 11, 26} -> + Complex[-0.021450925664317888`, 0.20231262751067364`], { + 11, 27} -> + Complex[0.05755533995669046, 0.07401317879009213], {11, 28} -> Complex[ - 0.14020706236902425`, -0.157106453123418], {11, 29} -> - Complex[-0.09078438719781487, 0.08387695970470208], {11, - 30} -> Complex[0.2158761295291703, -0.079839801475396], { - 11, 31} -> - Complex[-0.05197448003562596, -0.034035129192128775`], { - 11, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], { - 11, 33} -> - Complex[0.03971739520512007, 0.01279589611612527], {11, - 34} -> Complex[ - 0.07182371169440027, 0.13961968957305576`], {11, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {11, - 36} -> Complex[-0.28325062776683585`, - 0.15967643343543628`], {12, 13} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, - 14} -> Complex[-0.005254583355195047, \ --0.07911629825938535], {12, 15} -> - Complex[0.09504874694484183, -0.252921972711526], {12, - 16} -> Complex[-0.016434880239505067`, \ --0.02799549139813756], {12, 17} -> - Complex[-0.004104217599466588, 0.09920939692115077], {12, - 18} -> Complex[ - 0.08241113354082491, -0.24960895170610842`], {12, 19} -> - Complex[-0.004104217599466588, 0.09920939692115077], {12, - 20} -> Complex[ - 0.08241113354082491, -0.24960895170610842`], {12, 21} -> - Complex[0.09504874694484183, -0.252921972711526], {12, - 22} -> Complex[-0.016434880239505067`, \ --0.02799549139813756], {12, 23} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, - 24} -> Complex[-0.005254583355195047, \ --0.07911629825938535], {12, 25} -> - Complex[0.35884454526493437`, 0.], {12, 26} -> - Complex[0.03589005743520234, 0.010244248183710654`], {12, - 27} -> Complex[-0.10523618574474686`, \ --0.07147202526604769], {12, 28} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {12, - 29} -> Complex[ - 0.017491034151456156`, 0.1422934683362202], {12, 30} -> - Complex[-0.07072413917244547, 0.06080711260518379], {12, - 31} -> Complex[0.04881033618836923, 0.3767537051917446], { - 12, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {12, - 33} -> Complex[-0.07901145315910152, \ --0.12060096224364471`], {12, 34} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {12, - 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {12, - 36} -> Complex[ - 0.12697363466636613`, 0.017287640275502197`], {13, 14} -> - Complex[0.3248309079027546, 0.], {13, 15} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, - 16} -> Complex[-0.055024457915968744`, \ --0.00875520102328074], {13, 17} -> - Complex[0.039373147369999854`, -0.022673347542931065`], { - 13, 18} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, - 19} -> Complex[ - 0.039373147369999854`, -0.022673347542931065`], {13, 20} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, - 21} -> Complex[ - 0.12183252883416357`, 0.15881245002612598`], {13, 22} -> - Complex[-0.055024457915968744`, -0.00875520102328074], { - 13, 23} -> - Complex[0.06998304089724083, 0.09262495833114717], {13, - 24} -> Complex[0.3248309079027546, 0.], {13, 25} -> - Complex[-0.005254583355195047, 0.07911629825938535], {13, - 26} -> Complex[-0.18045658269343973`, - 0.06407563305713601], {13, 27} -> - Complex[0.04387227616028566, -0.169253767952832], {13, - 28} -> Complex[-0.09249860156321268, - 0.12601316051490963`], {13, 29} -> - Complex[0.015573345706232422`, -0.33611710368003506`], { - 13, 30} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {13, - 31} -> Complex[-0.1091396557759862, - 0.054766912594803374`], {13, 32} -> - Complex[0.11263046571451424`, 0.15943812713557814`], {13, - 33} -> Complex[-0.24146580052003364`, \ --0.11027596484454191`], {13, 34} -> - Complex[-0.08996062722681389, 0.04963088270675587], {13, - 35} -> Complex[ - 0.054818062753627404`, -0.18407880112585107`], {13, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {14, - 15} -> Complex[-0.042124735558062835`, - 0.12231882955045151`], {14, 16} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, - 17} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], { - 14, 18} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, - 19} -> Complex[-0.12599372208886145`, \ --0.18913477597107048`], {14, 20} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, - 21} -> Complex[-0.042124735558062835`, - 0.12231882955045151`], {14, 22} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, - 23} -> Complex[0.35279363941541053`, 0.], {14, 24} -> - Complex[0.06998304089724083, -0.09262495833114717], {14, - 25} -> Complex[-0.1376685276414912, 0.017279120496164], { - 14, 26} -> - Complex[-0.017700618374932788`, 0.229189990199907], {14, + 0.16980607400071762`, 0.0009413154054021405], {11, 29} -> + Complex[-0.0832461030605116, 0.0007900461969849934], {11, + 30} -> Complex[ + 0.10046002901967245`, 0.19478861449336152`], {11, 31} -> + Complex[0.014982384821209789`, 0.13663234668804805`], {11, + 32} -> Complex[-0.1353776277549702, + 0.09474310902835915], {12, 13} -> + Complex[0.1011867533194991, 0.05266749081168851], {12, + 14} -> Complex[-0.07986138310064092, \ +-0.05490753841460036], {12, 15} -> + Complex[0.0049348768685348095`, -0.19401579066298913`], { + 12, 16} -> Complex[ + 0.15833164198889998`, 0.11387642571006557`], {12, 17} -> + Complex[0.0049348768685348095`, -0.19401579066298913`], { + 12, 18} -> + Complex[0.15833164198889998`, 0.11387642571006557`], {12, + 19} -> Complex[0.1011867533194991, 0.05266749081168851], { + 12, 20} -> + Complex[-0.07986138310064092, -0.05490753841460036], {12, + 21} -> Complex[0.288790430194917, 0.], {12, 22} -> + Complex[-0.013539473736158613`, -0.13067968221082676`], { + 12, 23} -> + Complex[-0.08930473416931554, 0.007048096041707605], {12, + 24} -> Complex[ + 0.06842480050902869, 0.15505501766299976`], {12, 25} -> + Complex[-0.11348480027122035`, -0.34468442336798244`], { + 12, 26} -> + Complex[0.23530920684103981`, 0.0909192260612194], {12, 27} -> Complex[ - 0.19754043867481771`, 0.06710821743420367], {14, 28} -> - Complex[0.19742335371429923`, 0.09763016245015396], {14, - 29} -> Complex[-0.03694461851812731, \ --0.11992171449363792`], {14, 30} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {14, + 0.11084673340471671`, -0.07367368444009487], {12, 28} -> + Complex[0.1668226451310518, -0.2990474561368582], {12, + 29} -> Complex[ + 0.012301908189476976`, 0.29819031736230395`], {12, 30} -> + Complex[0.09392733334800707, -0.23700943627758006`], {12, 31} -> Complex[ - 0.03210691866533716, -0.25866941133955584`], {14, 32} -> - Complex[0.20153478327455962`, -0.091416725802769], {14, - 33} -> Complex[-0.06287334385176857, - 0.039875195608224154`], {14, 34} -> - Complex[-0.26044059541670533`, 0.05145411756901592], {14, - 35} -> Complex[-0.25377338518228143`, \ --0.22696868263028766`], {14, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], { - 15, 16} -> Complex[0.18939927318289235`, 0.], {15, 17} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, + 0.036746036528397724`, -0.11894266930455437`], {12, 32} -> + Complex[0.2806974213994702, 0.046546994330126934`], {13, + 14} -> Complex[0.4079525483141261, 0.], {13, 15} -> + Complex[0.08723277223992514, 0.11080073531383203`], {13, + 16} -> Complex[ + 0.006827467338087173, -0.01209924810690289], {13, 17} -> + Complex[0.08723277223992514, 0.11080073531383203`], {13, 18} -> Complex[ - 0.012115526439909248`, -0.07586465949937707], {15, 19} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, - 20} -> Complex[ - 0.012115526439909248`, -0.07586465949937707], {15, 21} -> - Complex[0.0018678498053481644`, -0.11355320674819902`], { - 15, 22} -> Complex[0.18939927318289235`, 0.], {15, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {15, - 24} -> Complex[-0.055024457915968744`, - 0.00875520102328074], {15, 25} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {15, - 26} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {15, - 27} -> Complex[-0.13637897517564893`, - 0.21978330419104863`], {15, 28} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {15, - 29} -> Complex[-0.07025866437087314, - 0.18394307455842968`], {15, 30} -> - Complex[-0.218113151712259, -0.025091517498334166`], {15, - 31} -> Complex[ - 0.06561103865616492, 0.04037752804772983], {15, 32} -> - Complex[-0.00498052152715275, 0.08042658142468531], {15, - 33} -> Complex[0.0896129289093057, 0.08670073786995046], { - 15, 34} -> - Complex[0.12372341411859573`, -0.16477324944202285`], {15, - 35} -> Complex[ - 0.1862561519544158, -0.11528023790296092`], {15, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {16, - 17} -> Complex[ - 0.008173587051180226, 0.09795082074318642], {16, 18} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, - 19} -> Complex[ - 0.008173587051180226, 0.09795082074318642], {16, 20} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, - 21} -> Complex[0.349552824256183, 0.], {16, 22} -> - Complex[0.0018678498053481644`, 0.11355320674819902`], { - 16, 23} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], { - 16, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {16, - 25} -> Complex[0.09504874694484183, 0.252921972711526], { - 16, 26} -> - Complex[0.029111053747052022`, 0.03092252970487717], {16, - 27} -> Complex[-0.16219964087949312`, \ --0.23052958058187878`], {16, 28} -> - Complex[-0.13187039110424337`, 0.05577367679001426], {16, - 29} -> Complex[-0.3170629158392618, \ --0.07863950467973177], {16, 30} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {16, - 31} -> Complex[-0.27597397639459753`, - 0.2023899803882464], {16, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {16, - 33} -> Complex[-0.10985803268384983`, - 0.010763626429992096`], {16, 34} -> - Complex[0.27720818247658857`, 0.1557462430493763], {16, - 35} -> Complex[ - 0.07950629072406969, -0.15112987613524487`], {16, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {17, - 18} -> Complex[0.3905441579974116, 0.], {17, 19} -> - Complex[0.007773728117029734, 0.02423539675981027], {17, - 20} -> Complex[0.3905441579974116, 0.], {17, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {17, - 22} -> Complex[ - 0.012115526439909248`, 0.07586465949937707], {17, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {17, + 0.006827467338087173, -0.01209924810690289], {13, 19} -> + Complex[-0.3220977038351225, -0.0383011718065015], {13, + 20} -> Complex[0.4079525483141261, 0.], {13, 21} -> + Complex[-0.07986138310064092, 0.05490753841460036], {13, + 22} -> Complex[-0.03666874742079528, \ +-0.07798472902890301], {13, 23} -> + Complex[-0.12725910621181818`, -0.07905444855796712], {13, 24} -> Complex[ - 0.17469085565385242`, -0.20815325028445178`], {17, 25} -> - Complex[0.08241113354082491, 0.24960895170610842`], {17, - 26} -> Complex[-0.018530669057524738`, - 0.1016185353576046], {17, 27} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {17, - 28} -> Complex[-0.09261261877802832, - 0.1270548580331935], {17, 29} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {17, - 30} -> Complex[-0.041305971633540155`, \ --0.0475059953974924], {17, 31} -> - Complex[-0.24139750211906025`, 0.17856311543581216`], {17, + 0.2643754685221928, -0.07682893410517902], {13, 25} -> + Complex[0.05350396017855871, 0.038145366086212794`], {13, + 26} -> Complex[ + 0.08074598001208205, -0.08855457473741418], {13, 27} -> + Complex[0.019232961701569087`, 0.07895370068527609], {13, + 28} -> Complex[-0.1475728871036449, + 0.14922079251460418`], {13, 29} -> + Complex[-0.15607378409602476`, -0.1439965761825238], {13, + 30} -> Complex[ + 0.27858075604955634`, -0.030371398383274933`], {13, 31} -> + Complex[0.11917354760172008`, -0.272212173030505], {13, + 32} -> Complex[-0.10354421178516458`, + 0.22986188863366275`], {14, 15} -> + Complex[-0.08476806338113038, -0.11473204575369803`], {14, + 16} -> Complex[ + 0.06970781907889996, 0.027872664118806813`], {14, 17} -> + Complex[-0.08476806338113038, -0.11473204575369803`], {14, + 18} -> Complex[ + 0.06970781907889996, 0.027872664118806813`], {14, 19} -> + Complex[0.29582940176126815`, 0.], {14, 20} -> + Complex[-0.3220977038351225, 0.0383011718065015], {14, + 21} -> Complex[ + 0.1011867533194991, -0.05266749081168851], {14, 22} -> + Complex[0.03249739020896987, 0.007688837072184563], {14, + 23} -> Complex[ + 0.12032699300738342`, 0.048441152283289074`], {14, 24} -> + Complex[-0.15768324024018812`, 0.14328868692391553`], {14, + 25} -> + Complex[-0.05181977912767945, -0.037809566636026526`], { + 14, 26} -> + Complex[0.022865123054102737`, 0.04960709547698468], {14, + 27} -> Complex[ + 0.005055667009208006, -0.1278205163933677], {14, 28} -> + Complex[0.07063495593763104, -0.18915546654520524`], {14, + 29} -> Complex[ + 0.1695753382061036, 0.12525309112556196`], {14, 30} -> + Complex[-0.14920571596040955`, -0.004668871253339259], { + 14, 31} -> + Complex[-0.005519120018070173, 0.32277555558099397`], {14, 32} -> Complex[ - 0.09493687473979212, -0.05333192476596154], {17, 33} -> - Complex[-0.1606002091580235, 0.04277649306205672], {17, - 34} -> Complex[ - 0.20846784571655388`, 0.1346840497441242], {17, 35} -> - Complex[0.020304980203947276`, -0.2448019195395177], {17, - 36} -> Complex[ - 0.2104118170864423, 0.16206552873281407`], {18, 19} -> - Complex[0.27470470789916873`, 0.], {18, 20} -> - Complex[0.007773728117029734, -0.02423539675981027], {18, + 0.0926308918937118, -0.14887764782704088`], {15, 16} -> + Complex[0.21788533841205476`, 0.], {15, 17} -> + Complex[-0.07621780081525145, -0.10986947258054452`], {15, + 18} -> Complex[0.21788533841205476`, 0.], {15, 19} -> + Complex[0.06970781907889996, -0.027872664118806813`], {15, + 20} -> Complex[ + 0.006827467338087173, 0.01209924810690289], {15, 21} -> + Complex[0.15833164198889998`, -0.11387642571006557`], {15, + 22} -> + Complex[-0.07116526154293495, -0.12925982418550483`], {15, + 23} -> Complex[-0.026647065623548363`, + 0.026330641239406972`], {15, 24} -> + Complex[0.1920939879748598, 0.10630694451257516`], {15, + 25} -> Complex[-0.1855462901651881, \ +-0.08953347157789894], {15, 26} -> + Complex[0.2559730175620584, -0.12078716288411598`], {15, + 27} -> Complex[ + 0.05526746191692408, -0.16679705600024786`], {15, 28} -> + Complex[-0.14277268958862907`, -0.2479052297980392], {15, + 29} -> Complex[ + 0.1504904090013878, 0.12024277886252119`], {15, 30} -> + Complex[0.0843470356919863, -0.21628437576571974`], {15, + 31} -> Complex[0.08124011098625433, 0.0559800004451918], { + 15, 32} -> + Complex[0.1737724935599298, -0.007390914815773142], {16, + 17} -> Complex[0.1576509820323173, 0.], {16, 18} -> + Complex[-0.07621780081525145, 0.10986947258054452`], {16, + 19} -> Complex[-0.08476806338113038, + 0.11473204575369803`], {16, 20} -> + Complex[0.08723277223992514, -0.11080073531383203`], {16, 21} -> Complex[ - 0.008173587051180226, -0.09795082074318642], {18, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {18, - 23} -> Complex[-0.12599372208886145`, - 0.18913477597107048`], {18, 24} -> - Complex[0.039373147369999854`, 0.022673347542931065`], { - 18, 25} -> - Complex[-0.004104217599466588, -0.09920939692115077], {18, - 26} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], { - 18, 27} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {18, - 28} -> Complex[-0.1350116019726202, - 0.04516801561911384], {18, 29} -> - Complex[-0.06511122587857304, 0.01569343622580683], {18, - 30} -> Complex[-0.19090563198557167`, \ --0.11085568682814102`], {18, 31} -> - Complex[0.1302477399556314, 0.104114370134477], {18, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {18, - 33} -> Complex[-0.1355879777222275, - 0.08845876363140671], {18, 34} -> - Complex[0.09968546178967824, -0.1683352007294286], {18, - 35} -> Complex[ - 0.13747177730338656`, 0.016173756793363754`], {18, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {19, - 20} -> Complex[0.3905441579974116, 0.], {19, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {19, - 22} -> Complex[ - 0.012115526439909248`, 0.07586465949937707], {19, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {19, + 0.0049348768685348095`, 0.19401579066298913`], {16, 22} -> + Complex[0.07267050201545142, -0.011714058141280672`], {16, + 23} -> + Complex[-0.04860629109081113, -0.04246480370392383], {16, + 24} -> Complex[-0.07538887957770507, \ +-0.014151525468183115`], {16, 25} -> + Complex[0.21051246235757812`, -0.08951514239750463], {16, + 26} -> Complex[-0.06038101273760845, + 0.13919179950515956`], {16, 27} -> + Complex[0.0703816300525041, 0.09831495930430345], {16, + 28} -> Complex[ + 0.23396340114239164`, 0.14836338195316717`], {16, 29} -> + Complex[-0.20988883047294088`, 0.03544251396822046], {16, + 30} -> Complex[0.1559809531435565, 0.03223196939623798], { + 16, 31} -> + Complex[-0.007195583582784125, -0.06896354235277449], {16, + 32} -> Complex[-0.0749459256389439, + 0.2284108346745835], {17, 18} -> + Complex[0.21788533841205476`, 0.], {17, 19} -> + Complex[0.06970781907889996, -0.027872664118806813`], {17, + 20} -> Complex[ + 0.006827467338087173, 0.01209924810690289], {17, 21} -> + Complex[0.15833164198889998`, -0.11387642571006557`], {17, + 22} -> + Complex[-0.07116526154293495, -0.12925982418550483`], {17, + 23} -> Complex[-0.026647065623548363`, + 0.026330641239406972`], {17, 24} -> + Complex[0.1920939879748598, 0.10630694451257516`], {17, + 25} -> Complex[-0.1855462901651881, \ +-0.08953347157789894], {17, 26} -> + Complex[0.2559730175620584, -0.12078716288411598`], {17, + 27} -> Complex[ + 0.05526746191692408, -0.16679705600024786`], {17, 28} -> + Complex[-0.14277268958862907`, -0.2479052297980392], {17, + 29} -> Complex[ + 0.1504904090013878, 0.12024277886252119`], {17, 30} -> + Complex[0.0843470356919863, -0.21628437576571974`], {17, + 31} -> Complex[0.08124011098625433, 0.0559800004451918], { + 17, 32} -> + Complex[0.1737724935599298, -0.007390914815773142], {18, + 19} -> Complex[-0.08476806338113038, + 0.11473204575369803`], {18, 20} -> + Complex[0.08723277223992514, -0.11080073531383203`], {18, + 21} -> Complex[ + 0.0049348768685348095`, 0.19401579066298913`], {18, 22} -> + Complex[0.07267050201545142, -0.011714058141280672`], {18, + 23} -> + Complex[-0.04860629109081113, -0.04246480370392383], {18, + 24} -> Complex[-0.07538887957770507, \ +-0.014151525468183115`], {18, 25} -> + Complex[0.21051246235757812`, -0.08951514239750463], {18, + 26} -> Complex[-0.06038101273760845, + 0.13919179950515956`], {18, 27} -> + Complex[0.0703816300525041, 0.09831495930430345], {18, + 28} -> Complex[ + 0.23396340114239164`, 0.14836338195316717`], {18, 29} -> + Complex[-0.20988883047294088`, 0.03544251396822046], {18, + 30} -> Complex[0.1559809531435565, 0.03223196939623798], { + 18, 31} -> + Complex[-0.007195583582784125, -0.06896354235277449], {18, + 32} -> Complex[-0.0749459256389439, + 0.2284108346745835], {19, 20} -> + Complex[0.4079525483141261, 0.], {19, 21} -> + Complex[-0.07986138310064092, 0.05490753841460036], {19, + 22} -> Complex[-0.03666874742079528, \ +-0.07798472902890301], {19, 23} -> + Complex[-0.12725910621181818`, -0.07905444855796712], {19, 24} -> Complex[ - 0.17469085565385242`, -0.20815325028445178`], {19, 25} -> - Complex[0.08241113354082491, 0.24960895170610842`], {19, - 26} -> Complex[-0.018530669057524738`, - 0.1016185353576046], {19, 27} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {19, - 28} -> Complex[-0.09261261877802832, - 0.1270548580331935], {19, 29} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {19, - 30} -> Complex[-0.041305971633540155`, \ --0.0475059953974924], {19, 31} -> - Complex[-0.24139750211906025`, 0.17856311543581216`], {19, - 32} -> Complex[ - 0.09493687473979212, -0.05333192476596154], {19, 33} -> - Complex[-0.1606002091580235, 0.04277649306205672], {19, - 34} -> Complex[ - 0.20846784571655388`, 0.1346840497441242], {19, 35} -> - Complex[0.020304980203947276`, -0.2448019195395177], {19, - 36} -> Complex[ - 0.2104118170864423, 0.16206552873281407`], {20, 21} -> - Complex[0.008173587051180226, -0.09795082074318642], {20, + 0.2643754685221928, -0.07682893410517902], {19, 25} -> + Complex[0.05350396017855871, 0.038145366086212794`], {19, + 26} -> Complex[ + 0.08074598001208205, -0.08855457473741418], {19, 27} -> + Complex[0.019232961701569087`, 0.07895370068527609], {19, + 28} -> Complex[-0.1475728871036449, + 0.14922079251460418`], {19, 29} -> + Complex[-0.15607378409602476`, -0.1439965761825238], {19, + 30} -> Complex[ + 0.27858075604955634`, -0.030371398383274933`], {19, 31} -> + Complex[0.11917354760172008`, -0.272212173030505], {19, + 32} -> Complex[-0.10354421178516458`, + 0.22986188863366275`], {20, 21} -> + Complex[0.1011867533194991, -0.05266749081168851], {20, 22} -> Complex[ - 0.14452293041969513`, 0.1105782258057243], {20, 23} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {20, - 24} -> Complex[ - 0.039373147369999854`, 0.022673347542931065`], {20, 25} -> - Complex[-0.004104217599466588, -0.09920939692115077], {20, - 26} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], { - 20, 27} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {20, - 28} -> Complex[-0.1350116019726202, - 0.04516801561911384], {20, 29} -> - Complex[-0.06511122587857304, 0.01569343622580683], {20, - 30} -> Complex[-0.19090563198557167`, \ --0.11085568682814102`], {20, 31} -> - Complex[0.1302477399556314, 0.104114370134477], {20, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {20, - 33} -> Complex[-0.1355879777222275, - 0.08845876363140671], {20, 34} -> - Complex[0.09968546178967824, -0.1683352007294286], {20, - 35} -> Complex[ - 0.13747177730338656`, 0.016173756793363754`], {20, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {21, - 22} -> Complex[0.18939927318289235`, 0.], {21, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {21, - 24} -> Complex[-0.055024457915968744`, - 0.00875520102328074], {21, 25} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {21, - 26} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {21, - 27} -> Complex[-0.13637897517564893`, - 0.21978330419104863`], {21, 28} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {21, - 29} -> Complex[-0.07025866437087314, - 0.18394307455842968`], {21, 30} -> - Complex[-0.218113151712259, -0.025091517498334166`], {21, - 31} -> Complex[ - 0.06561103865616492, 0.04037752804772983], {21, 32} -> - Complex[-0.00498052152715275, 0.08042658142468531], {21, - 33} -> Complex[0.0896129289093057, 0.08670073786995046], { - 21, 34} -> - Complex[0.12372341411859573`, -0.16477324944202285`], {21, - 35} -> Complex[ - 0.1862561519544158, -0.11528023790296092`], {21, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {22, - 23} -> Complex[-0.042124735558062835`, \ --0.12231882955045151`], {22, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {22, - 25} -> Complex[0.09504874694484183, 0.252921972711526], { + 0.03249739020896987, 0.007688837072184563], {20, 23} -> + Complex[0.12032699300738342`, 0.048441152283289074`], {20, + 24} -> Complex[-0.15768324024018812`, + 0.14328868692391553`], {20, 25} -> + Complex[-0.05181977912767945, -0.037809566636026526`], { + 20, 26} -> + Complex[0.022865123054102737`, 0.04960709547698468], {20, + 27} -> Complex[ + 0.005055667009208006, -0.1278205163933677], {20, 28} -> + Complex[0.07063495593763104, -0.18915546654520524`], {20, + 29} -> Complex[ + 0.1695753382061036, 0.12525309112556196`], {20, 30} -> + Complex[-0.14920571596040955`, -0.004668871253339259], { + 20, 31} -> + Complex[-0.005519120018070173, 0.32277555558099397`], {20, + 32} -> Complex[ + 0.0926308918937118, -0.14887764782704088`], {21, 22} -> + Complex[0.1272054475990647, 0.], {21, 23} -> + Complex[0.03975514319435934, -0.05151250369655895], {21, + 24} -> Complex[-0.13939394787264447`, + 0.13747106056552227`], {21, 25} -> + Complex[0.14683816981476766`, -0.034502058514711414`], { + 21, 26} -> + Complex[-0.021450925664317888`, 0.20231262751067364`], { + 21, 27} -> + Complex[0.05755533995669046, 0.07401317879009213], {21, + 28} -> Complex[ + 0.16980607400071762`, 0.0009413154054021405], {21, 29} -> + Complex[-0.0832461030605116, 0.0007900461969849934], {21, + 30} -> Complex[ + 0.10046002901967245`, 0.19478861449336152`], {21, 31} -> + Complex[0.014982384821209789`, 0.13663234668804805`], {21, + 32} -> Complex[-0.1353776277549702, + 0.09474310902835915], {22, 23} -> + Complex[-0.08930473416931554, 0.007048096041707605], {22, + 24} -> Complex[ + 0.06842480050902869, 0.15505501766299976`], {22, 25} -> + Complex[-0.11348480027122035`, -0.34468442336798244`], { 22, 26} -> - Complex[0.029111053747052022`, 0.03092252970487717], {22, - 27} -> Complex[-0.16219964087949312`, \ --0.23052958058187878`], {22, 28} -> - Complex[-0.13187039110424337`, 0.05577367679001426], {22, - 29} -> Complex[-0.3170629158392618, \ --0.07863950467973177], {22, 30} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {22, - 31} -> Complex[-0.27597397639459753`, - 0.2023899803882464], {22, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {22, - 33} -> Complex[-0.10985803268384983`, - 0.010763626429992096`], {22, 34} -> - Complex[0.27720818247658857`, 0.1557462430493763], {22, - 35} -> Complex[ - 0.07950629072406969, -0.15112987613524487`], {22, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {23, - 24} -> Complex[0.3248309079027546, 0.], {23, 25} -> - Complex[-0.005254583355195047, 0.07911629825938535], {23, - 26} -> Complex[-0.18045658269343973`, - 0.06407563305713601], {23, 27} -> - Complex[0.04387227616028566, -0.169253767952832], {23, - 28} -> Complex[-0.09249860156321268, - 0.12601316051490963`], {23, 29} -> - Complex[0.015573345706232422`, -0.33611710368003506`], { - 23, 30} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {23, - 31} -> Complex[-0.1091396557759862, - 0.054766912594803374`], {23, 32} -> - Complex[0.11263046571451424`, 0.15943812713557814`], {23, - 33} -> Complex[-0.24146580052003364`, \ --0.11027596484454191`], {23, 34} -> - Complex[-0.08996062722681389, 0.04963088270675587], {23, - 35} -> Complex[ - 0.054818062753627404`, -0.18407880112585107`], {23, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {24, - 25} -> Complex[-0.1376685276414912, 0.017279120496164], { - 24, 26} -> - Complex[-0.017700618374932788`, 0.229189990199907], {24, + Complex[0.23530920684103981`, 0.0909192260612194], 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Complex[-0.07072413917244547, -0.06080711260518379], {7, 26} -> - Complex[0.2158761295291703, 0.079839801475396], {7, 27} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {7, 28} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {7, 29} -> - Complex[-0.015725352039344952`, -0.1534965717731505], {7, 30} -> - Complex[0.3480244926609176, 0.], {7, 31} -> - Complex[-0.06282282822605365, -0.17443733981734005`], {7, 32} -> - Complex[-0.011194174176657017`, -0.18050668434763023`], {7, 33} -> - Complex[-0.07400883501291561, 0.04266786697540802], {7, 34} -> - Complex[-0.17507327039387915`, 0.2690120226571733], {7, 35} -> - Complex[-0.33111266457208555`, 0.2799821244558118], {7, 36} -> - Complex[-0.32833718354949015`, 0.08613557464795678], {8, 9} -> - Complex[0.32107941916226146`, 0.09232207202497354], {8, 10} -> - Complex[0.020907170696056646`, -0.009826517437731715], {8, 11} -> - Complex[0.017491034151456156`, -0.1422934683362202], {8, 12} -> - Complex[-0.09078438719781487, -0.08387695970470208], {8, 13} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {8, 14} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {8, 15} -> - Complex[-0.3170629158392618, 0.07863950467973177], {8, 16} -> - Complex[-0.07025866437087314, -0.18394307455842968`], {8, 17} -> - Complex[-0.06511122587857304, -0.01569343622580683], {8, 18} -> - Complex[-0.3429240772478055, 0.12113458402956634`], {8, 19} -> - Complex[-0.06511122587857304, -0.01569343622580683], {8, 20} -> - Complex[-0.3429240772478055, 0.12113458402956634`], {8, 21} -> - Complex[-0.3170629158392618, 0.07863950467973177], {8, 22} -> - Complex[-0.07025866437087314, -0.18394307455842968`], {8, 23} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {8, 24} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {8, 25} -> - Complex[0.017491034151456156`, -0.1422934683362202], {8, 26} -> - Complex[-0.09078438719781487, -0.08387695970470208], {8, 27} -> - Complex[0.32107941916226146`, 0.09232207202497354], {8, 28} -> - Complex[0.020907170696056646`, -0.009826517437731715], {8, 29} -> - Complex[0.5500421302238756, 0.], {8, 30} -> - Complex[-0.015725352039344952`, 0.1534965717731505], {8, 31} -> - Complex[0.11313471290638971`, -0.0906083646195344], {8, 32} -> - Complex[-0.08951618372581999, 0.1398945044720049], {8, 33} -> - Complex[0.09671382069915349, -0.31356085339344003`], {8, 34} -> - Complex[-0.25897033958870125`, -0.2062898932256956], {8, 35} -> - Complex[-0.006051982269297387, 0.008414767951100507], {8, 36} -> - Complex[-0.21414311351504042`, -0.06573453711443833], {9, 10} -> - Complex[0.33314595779251727`, 0.], {9, 11} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {9, 12} -> - Complex[0.14020706236902425`, 0.157106453123418], {9, 13} -> - Complex[0.19742335371429923`, -0.09763016245015396], {9, 14} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {9, 15} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {9, 16} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {9, 17} -> - Complex[-0.1350116019726202, -0.04516801561911384], {9, 18} -> - Complex[-0.09261261877802832, -0.1270548580331935], {9, 19} -> - Complex[-0.1350116019726202, -0.04516801561911384], {9, 20} -> - Complex[-0.09261261877802832, -0.1270548580331935], {9, 21} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {9, 22} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {9, 23} -> - Complex[0.19742335371429923`, -0.09763016245015396], {9, 24} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {9, 25} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {9, 26} -> - Complex[0.14020706236902425`, 0.157106453123418], {9, 27} -> - Complex[0.10214442350629199`, 0.026260413784740505`], {9, 28} -> - Complex[0.33314595779251727`, 0.], {9, 29} -> - Complex[0.020907170696056646`, 0.009826517437731715], {9, 30} -> - Complex[0.22196866627101539`, 0.20220472842758744`], {9, 31} -> - Complex[0.18344402773596857`, -0.12440237009032867`], {9, 32} -> - Complex[0.05541102122851009, -0.15479143125784764`], {9, 33} -> - Complex[-0.09116148563358083, 0.08672925004639812], {9, 34} -> - Complex[-0.2521578356402413, -0.01333219816254436], {9, 35} -> - Complex[-0.5009225822231967, 0.03036622844279574], {9, 36} -> - Complex[-0.1821537065194496, -0.1809373735116714], {10, 11} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {10, 12} -> - Complex[-0.002703366170010074, 0.1342165202528226], {10, 13} -> - Complex[0.19754043867481771`, -0.06710821743420367], {10, 14} -> - Complex[0.04387227616028566, 0.169253767952832], {10, 15} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {10, 16} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {10, 17} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {10, 18} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {10, 19} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {10, 20} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {10, 21} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {10, 22} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {10, 23} -> - Complex[0.19754043867481771`, -0.06710821743420367], {10, 24} -> - Complex[0.04387227616028566, 0.169253767952832], {10, 25} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {10, 26} -> - Complex[-0.002703366170010074, 0.1342165202528226], {10, 27} -> - Complex[0.4666612200115955, 0.], {10, 28} -> - Complex[0.10214442350629199`, -0.026260413784740505`], {10, 29} -> - Complex[0.32107941916226146`, -0.09232207202497354], {10, 30} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {10, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {10, 32} -> - Complex[0.10082205206266875`, -0.054783259519745345`], {10, 33} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {10, 34} -> - Complex[-0.2841944960267362, 0.0881056163125139], {10, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {10, 36} -> - Complex[-0.45453234415494154`, -0.154590481023119], {11, 12} -> - Complex[0.2638704815566899, 0.], {11, 13} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, 14} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {11, 15} -> - Complex[0.029111053747052022`, -0.03092252970487717], {11, 16} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {11, 17} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {11, 18} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, 19} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {11, 20} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, 21} -> - Complex[0.029111053747052022`, -0.03092252970487717], {11, 22} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {11, 23} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, 24} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {11, 25} -> - Complex[0.03589005743520234, -0.010244248183710654`], {11, 26} -> - Complex[0.2638704815566899, 0.], {11, 27} -> - Complex[-0.002703366170010074, -0.1342165202528226], {11, 28} -> - Complex[0.14020706236902425`, -0.157106453123418], {11, 29} -> - Complex[-0.09078438719781487, 0.08387695970470208], {11, 30} -> - Complex[0.2158761295291703, -0.079839801475396], {11, 31} -> - Complex[-0.05197448003562596, -0.034035129192128775`], {11, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], {11, 33} -> - Complex[0.03971739520512007, 0.01279589611612527], {11, 34} -> - Complex[0.07182371169440027, 0.13961968957305576`], {11, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {11, 36} -> - Complex[-0.28325062776683585`, 0.15967643343543628`], {12, 13} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, 14} -> - Complex[-0.005254583355195047, -0.07911629825938535], {12, 15} -> - Complex[0.09504874694484183, -0.252921972711526], {12, 16} -> - Complex[-0.016434880239505067`, -0.02799549139813756], {12, 17} -> - Complex[-0.004104217599466588, 0.09920939692115077], {12, 18} -> - Complex[0.08241113354082491, -0.24960895170610842`], {12, 19} -> - Complex[-0.004104217599466588, 0.09920939692115077], {12, 20} -> - Complex[0.08241113354082491, -0.24960895170610842`], {12, 21} -> - Complex[0.09504874694484183, -0.252921972711526], {12, 22} -> - Complex[-0.016434880239505067`, -0.02799549139813756], {12, 23} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, 24} -> - Complex[-0.005254583355195047, -0.07911629825938535], {12, 25} -> - Complex[0.35884454526493437`, 0.], {12, 26} -> - Complex[0.03589005743520234, 0.010244248183710654`], {12, 27} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {12, 28} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {12, 29} -> - Complex[0.017491034151456156`, 0.1422934683362202], {12, 30} -> - Complex[-0.07072413917244547, 0.06080711260518379], {12, 31} -> - Complex[0.04881033618836923, 0.3767537051917446], {12, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {12, 33} -> - Complex[-0.07901145315910152, -0.12060096224364471`], {12, 34} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {12, 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {12, 36} -> - Complex[0.12697363466636613`, 0.017287640275502197`], {13, 14} -> - Complex[0.3248309079027546, 0.], {13, 15} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, 16} -> - Complex[-0.055024457915968744`, -0.00875520102328074], {13, 17} -> - Complex[0.039373147369999854`, -0.022673347542931065`], {13, 18} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, 19} -> - Complex[0.039373147369999854`, -0.022673347542931065`], {13, 20} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, 21} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, 22} -> - Complex[-0.055024457915968744`, -0.00875520102328074], {13, 23} -> - Complex[0.06998304089724083, 0.09262495833114717], {13, 24} -> - Complex[0.3248309079027546, 0.], {13, 25} -> - Complex[-0.005254583355195047, 0.07911629825938535], {13, 26} -> - Complex[-0.18045658269343973`, 0.06407563305713601], {13, 27} -> - Complex[0.04387227616028566, -0.169253767952832], {13, 28} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {13, 29} -> - Complex[0.015573345706232422`, -0.33611710368003506`], {13, 30} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {13, 31} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {13, 32} -> - Complex[0.11263046571451424`, 0.15943812713557814`], {13, 33} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], {13, 34} -> - Complex[-0.08996062722681389, 0.04963088270675587], {13, 35} -> - Complex[0.054818062753627404`, -0.18407880112585107`], {13, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {14, 15} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], {14, 16} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, 17} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], {14, 18} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, 19} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], {14, 20} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, 21} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], {14, 22} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, 23} -> - Complex[0.35279363941541053`, 0.], {14, 24} -> - Complex[0.06998304089724083, -0.09262495833114717], {14, 25} -> - Complex[-0.1376685276414912, 0.017279120496164], {14, 26} -> - Complex[-0.017700618374932788`, 0.229189990199907], {14, 27} -> - Complex[0.19754043867481771`, 0.06710821743420367], {14, 28} -> - Complex[0.19742335371429923`, 0.09763016245015396], {14, 29} -> - Complex[-0.03694461851812731, -0.11992171449363792`], {14, 30} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {14, 31} -> - Complex[0.03210691866533716, -0.25866941133955584`], {14, 32} -> - Complex[0.20153478327455962`, -0.091416725802769], {14, 33} -> - Complex[-0.06287334385176857, 0.039875195608224154`], {14, 34} -> - Complex[-0.26044059541670533`, 0.05145411756901592], {14, 35} -> - Complex[-0.25377338518228143`, -0.22696868263028766`], {14, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], {15, 16} -> - Complex[0.18939927318289235`, 0.], {15, 17} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, 18} -> - Complex[0.012115526439909248`, -0.07586465949937707], {15, 19} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, 20} -> - Complex[0.012115526439909248`, -0.07586465949937707], {15, 21} -> - Complex[0.0018678498053481644`, -0.11355320674819902`], {15, 22} -> - Complex[0.18939927318289235`, 0.], {15, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {15, 24} -> - Complex[-0.055024457915968744`, 0.00875520102328074], {15, 25} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {15, 26} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {15, 27} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {15, 28} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {15, 29} -> - Complex[-0.07025866437087314, 0.18394307455842968`], {15, 30} -> - Complex[-0.218113151712259, -0.025091517498334166`], {15, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {15, 32} -> - Complex[-0.00498052152715275, 0.08042658142468531], {15, 33} -> - Complex[0.0896129289093057, 0.08670073786995046], {15, 34} -> - Complex[0.12372341411859573`, -0.16477324944202285`], {15, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {15, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {16, 17} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, 18} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, 19} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, 20} -> - 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"\",\"", "2", "2", "0"}, + "RowWithSeparators"]], + $CellContext`c[2, 2, 0]], ",", + InterpretationBox[ + SubscriptBox["c", + TemplateBox[{",", "\",\"", "1", "1", "1"}, "RowWithSeparators"]], $CellContext`c[1, 1, 1]], ",", @@ -10879,10 +11927,10 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc TemplateBox[{",", "\",\"", "1", "3", "1"}, "RowWithSeparators"]], $CellContext`c[1, 3, 1]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox["\"Transformations: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + RowBox[{ + TagBox["\"Transformations: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ InterpretationBox[ RowBox[{ TagBox["NambuTransforms", "SummaryHead"], "[", @@ -10984,8 +12032,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmTKr6z 28B155YX9jfcl6+rmfbW/mRE7r/4r+9HzSEgDgDactH8 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -10993,9 +12041,9 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -11045,8 +12093,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmTKr6z 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Complex[-0.08996062722681389, -0.04963088270675587], {3, - 25} -> Complex[ - 0.07182371169440027, -0.13961968957305576`], {3, 26} -> - Complex[0.15643971909026363`, 0.21034493673282548`], {3, - 27} -> Complex[-0.2521578356402413, - 0.01333219816254436], {3, 28} -> - Complex[-0.2841944960267362, -0.0881056163125139], {3, - 29} -> Complex[-0.17507327039387915`, \ --0.2690120226571733], {3, 30} -> - Complex[-0.25897033958870125`, 0.2062898932256956], {3, - 31} -> Complex[-0.18704231819170578`, - 0.30182786908398773`], {3, 32} -> - Complex[-0.13144217108963616`, -0.08045040304054488], {3, - 33} -> Complex[ - 0.10920936073748258`, -0.03308934997069378], {3, 34} -> - Complex[0.503636307020737, 0.], {3, 35} -> - Complex[0.32545613852497657`, -0.10568804847511024`], {3, - 36} -> Complex[ - 0.13232155584348976`, 0.2865643065030182], {4, 5} -> - Complex[-0.06621032034440741, -0.10280421447880453`], {4, + 0.10029581103120666`, 0.01981792746027898], {3, 25} -> + Complex[0.10734135762637748`, -0.19617830350078105`], {3, + 26} -> Complex[-0.3396867137428587, + 0.13646163767421743`], {3, 27} -> + Complex[-0.05442442802981293, -0.14858688449114604`], {3, + 28} -> Complex[-0.2333099993372808, -0.2271710392758403], \ +{3, 29} -> Complex[-0.26639286607489965`, -0.0014004115937454042`], {3, 30} -> + Complex[0.4100313928008735, 0.], {3, 31} -> + Complex[-0.13729046784846416`, 0.16136872833117036`], {3, + 32} -> Complex[-0.09661499346651439, \ +-0.23954012515618292`], {4, 5} -> + Complex[0.19808970731622894`, 0.005640195231622968], {4, 6} -> Complex[ - 0.02410019796458368, -0.07846271521707039], {4, 7} -> - Complex[-0.07400883501291561, -0.04266786697540802], {4, + 0.05442442802981287, -0.14858688449114604`], {4, 7} -> + Complex[0.26723944870955263`, 0.18013517883484725`], {4, 8} -> Complex[ - 0.09671382069915349, 0.31356085339344003`], {4, 9} -> - Complex[-0.09116148563358083, -0.08672925004639812], {4, - 10} -> Complex[ - 0.16634996387262246`, 0.22507239863090805`], {4, 11} -> - Complex[0.03971739520512007, -0.01279589611612527], {4, - 12} -> Complex[-0.07901145315910152, - 0.12060096224364471`], {4, 13} -> - Complex[-0.06287334385176857, -0.039875195608224154`], {4, - 14} -> Complex[-0.24146580052003364`, - 0.11027596484454191`], {4, 15} -> - Complex[-0.10985803268384983`, -0.010763626429992096`], { - 4, 16} -> Complex[ - 0.0896129289093057, -0.08670073786995046], {4, 17} -> - Complex[-0.1355879777222275, -0.08845876363140671], {4, - 18} -> Complex[-0.1606002091580235, \ --0.04277649306205672], {4, 19} -> - Complex[-0.1355879777222275, -0.08845876363140671], {4, - 20} -> Complex[-0.1606002091580235, \ --0.04277649306205672], {4, 21} -> - Complex[-0.10985803268384983`, -0.010763626429992096`], { - 4, 22} -> Complex[ - 0.0896129289093057, -0.08670073786995046], {4, 23} -> - Complex[-0.06287334385176857, -0.039875195608224154`], {4, - 24} -> Complex[-0.24146580052003364`, - 0.11027596484454191`], {4, 25} -> - Complex[0.03971739520512007, -0.01279589611612527], {4, - 26} -> Complex[-0.07901145315910152, - 0.12060096224364471`], {4, 27} -> - Complex[-0.09116148563358083, -0.08672925004639812], {4, - 28} -> Complex[ - 0.16634996387262246`, 0.22507239863090805`], {4, 29} -> - Complex[-0.07400883501291561, -0.04266786697540802], {4, - 30} -> Complex[ - 0.09671382069915349, 0.31356085339344003`], {4, 31} -> - Complex[-0.06621032034440741, -0.10280421447880453`], {4, - 32} -> Complex[ - 0.02410019796458368, -0.07846271521707039], {4, 33} -> - Complex[0.49636369297926336`, 0.], {4, 34} -> - Complex[0.10920936073748258`, 0.03308934997069378], {4, - 35} -> Complex[ - 0.35814065944152734`, 0.08293748621875244], {4, 36} -> - Complex[-0.31535699021917946`, -0.2915805668549216], {5, - 6} -> Complex[0.3055029437591038, 0.], {5, 7} -> - Complex[-0.011194174176657017`, 0.18050668434763023`], {5, - 8} -> Complex[-0.08951618372581999, \ --0.1398945044720049], {5, 9} -> - Complex[0.05541102122851009, 0.15479143125784764`], {5, + 0.1938167265709829, -0.16890318060989123`], {4, 9} -> + Complex[-0.06778091820891004, -0.11263382211139406`], {4, 10} -> Complex[ - 0.10082205206266875`, 0.054783259519745345`], {5, 11} -> - Complex[-0.10297491838992004`, 0.24585233281751626`], {5, - 12} -> Complex[-0.06540345886434173, - 0.03247283136099954], {5, 13} -> - Complex[0.20153478327455962`, 0.091416725802769], {5, 14} -> - Complex[0.11263046571451424`, -0.15943812713557814`], {5, - 15} -> Complex[ - 0.01768967427913295, 0.07030539787536907], {5, 16} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, - 17} -> Complex[-0.0863909413535702, \ --0.18155756040588286`], {5, 18} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, - 19} -> Complex[-0.0863909413535702, \ --0.18155756040588286`], {5, 20} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, - 21} -> Complex[ - 0.01768967427913295, 0.07030539787536907], {5, 22} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, - 23} -> Complex[0.20153478327455962`, 0.091416725802769], { - 5, 24} -> Complex[ - 0.11263046571451424`, -0.15943812713557814`], {5, 25} -> - Complex[-0.10297491838992004`, 0.24585233281751626`], {5, - 26} -> Complex[-0.06540345886434173, - 0.03247283136099954], {5, 27} -> - Complex[0.05541102122851009, 0.15479143125784764`], {5, - 28} -> Complex[ - 0.10082205206266875`, 0.054783259519745345`], {5, 29} -> - Complex[-0.011194174176657017`, 0.18050668434763023`], {5, - 30} -> - Complex[-0.08951618372581999, -0.1398945044720049], {5, - 31} -> Complex[ - 0.05957085045120364, -0.0686364172150267], {5, 32} -> - Complex[0.3055029437591038, 0.], {5, 33} -> - Complex[0.02410019796458368, 0.07846271521707039], {5, - 34} -> Complex[-0.13144217108963616`, - 0.08045040304054488], {5, 35} -> - Complex[0.0692138138097684, -0.20164942303248495`], {5, - 36} -> Complex[-0.0838892214676934, \ --0.35906971113552444`], {6, 7} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, - 8} -> Complex[0.11313471290638971`, 0.0906083646195344], { - 6, 9} -> Complex[ - 0.18344402773596857`, 0.12440237009032867`], {6, 10} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {6, - 11} -> Complex[-0.05197448003562596, - 0.034035129192128775`], {6, 12} -> - Complex[0.04881033618836923, -0.3767537051917446], {6, - 13} -> Complex[ - 0.03210691866533716, 0.25866941133955584`], {6, 14} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {6, - 15} -> Complex[-0.27597397639459753`, \ --0.2023899803882464], {6, 16} -> - Complex[0.06561103865616492, -0.04037752804772983], {6, - 17} -> Complex[0.1302477399556314, -0.104114370134477], { - 6, 18} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, - 19} -> Complex[0.1302477399556314, -0.104114370134477], { - 6, 20} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, - 21} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {6, - 22} -> Complex[ - 0.06561103865616492, -0.04037752804772983], {6, 23} -> - Complex[0.03210691866533716, 0.25866941133955584`], {6, - 24} -> Complex[-0.1091396557759862, \ --0.054766912594803374`], {6, 25} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {6, - 26} -> Complex[ - 0.04881033618836923, -0.3767537051917446], {6, 27} -> - Complex[0.18344402773596857`, 0.12440237009032867`], {6, - 28} -> Complex[-0.10668413246766638`, - 0.2594729794590618], {6, 29} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, - 30} -> Complex[ - 0.11313471290638971`, 0.0906083646195344], {6, 31} -> - Complex[0.5058138015078811, 0.], {6, 32} -> - Complex[0.05957085045120364, 0.0686364172150267], {6, 33} -> - Complex[-0.06621032034440741, 0.10280421447880453`], {6, - 34} -> Complex[-0.18704231819170578`, \ --0.30182786908398773`], {6, 35} -> - Complex[-0.17262974874231735`, -0.03825515355084523], {6, - 36} -> Complex[ - 0.07140571807962026, -0.3254707548282041], {7, 8} -> - Complex[0.5500421302238756, 0.], {7, 9} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, - 10} -> Complex[ - 0.32107941916226146`, 0.09232207202497354], {7, 11} -> - Complex[-0.09078438719781487, -0.08387695970470208], {7, + 0.11017975259513822`, 0.24891234255610362`], {4, 11} -> + Complex[0.10046002901967245`, -0.19478861449336152`], {4, 12} -> Complex[ - 0.017491034151456156`, -0.1422934683362202], {7, 13} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {7, + 0.09392733334800707, 0.23700943627758006`], {4, 13} -> + Complex[-0.14920571596040955`, 0.004668871253339259], {4, 14} -> Complex[ - 0.015573345706232422`, 0.33611710368003506`], {7, 15} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, - 16} -> Complex[-0.07025866437087314, \ --0.18394307455842968`], {7, 17} -> - Complex[-0.06511122587857304, -0.01569343622580683], {7, - 18} -> Complex[-0.3429240772478055, - 0.12113458402956634`], {7, 19} -> - Complex[-0.06511122587857304, -0.01569343622580683], {7, - 20} -> Complex[-0.3429240772478055, - 0.12113458402956634`], {7, 21} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, - 22} -> Complex[-0.07025866437087314, \ --0.18394307455842968`], {7, 23} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {7, + 0.27858075604955634`, 0.030371398383274933`], {4, 15} -> + Complex[0.0843470356919863, 0.21628437576571974`], {4, + 16} -> Complex[ + 0.1559809531435565, -0.03223196939623798], {4, 17} -> + Complex[0.0843470356919863, 0.21628437576571974`], {4, + 18} -> Complex[ + 0.1559809531435565, -0.03223196939623798], {4, 19} -> + Complex[-0.14920571596040955`, 0.004668871253339259], {4, + 20} -> Complex[ + 0.27858075604955634`, 0.030371398383274933`], {4, 21} -> + Complex[0.10046002901967245`, -0.19478861449336152`], {4, + 22} -> Complex[ + 0.09392733334800707, 0.23700943627758006`], {4, 23} -> + Complex[-0.06778091820891004, -0.11263382211139406`], {4, 24} -> Complex[ - 0.015573345706232422`, 0.33611710368003506`], {7, 25} -> - Complex[-0.09078438719781487, -0.08387695970470208], {7, + 0.11017975259513822`, 0.24891234255610362`], {4, 25} -> + Complex[0.26723944870955263`, 0.18013517883484725`], {4, 26} -> Complex[ - 0.017491034151456156`, -0.1422934683362202], {7, 27} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, - 28} -> Complex[ - 0.32107941916226146`, 0.09232207202497354], {7, 29} -> - Complex[-0.015725352039344952`, 0.1534965717731505], {7, - 30} -> Complex[0.5500421302238756, 0.], {7, 31} -> - Complex[0.11313471290638971`, -0.0906083646195344], {7, - 32} -> Complex[-0.08951618372581999, - 0.1398945044720049], {7, 33} -> - Complex[0.09671382069915349, -0.31356085339344003`], {7, - 34} -> Complex[-0.25897033958870125`, \ --0.2062898932256956], {7, 35} -> - Complex[-0.006051982269297387, 0.008414767951100507], {7, - 36} -> Complex[-0.21414311351504042`, \ --0.06573453711443833], {8, 9} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {8, - 10} -> Complex[ - 0.13690201400056437`, -0.21116370706323376`], {8, 11} -> - Complex[0.2158761295291703, 0.079839801475396], {8, 12} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, + 0.1938167265709829, -0.16890318060989123`], {4, 27} -> + Complex[0.19808970731622894`, 0.005640195231622968], {4, + 28} -> Complex[ + 0.05442442802981287, -0.14858688449114604`], {4, 29} -> + Complex[0.5899686071991268, 0.], {4, 30} -> + Complex[-0.26639286607489965`, 0.0014004115937454042`], { + 4, 31} -> Complex[ + 0.26087816486149346`, 0.0990678397300458], {4, 32} -> + Complex[0.15997502039138747`, 0.45412395229305985`], {5, + 6} -> Complex[0.7973608946322628, 0.], {5, 7} -> + Complex[-0.14372193892286123`, 0.45619687405618636`], {5, + 8} -> Complex[ + 0.28259964162527906`, -0.4055803745838325], {5, 9} -> + Complex[-0.0964564876770649, -0.04387994353782962], {5, + 10} -> Complex[-0.31513742950926715`, + 0.04912752076041336], {5, 11} -> + Complex[0.16980607400071762`, -0.0009413154054021405], {5, + 12} -> Complex[0.1668226451310518, 0.2990474561368582], { + 5, 13} -> Complex[ + 0.07063495593763104, 0.18915546654520524`], {5, 14} -> + Complex[-0.1475728871036449, -0.14922079251460418`], {5, + 15} -> Complex[-0.14277268958862907`, + 0.2479052297980392], {5, 16} -> + Complex[0.23396340114239164`, -0.14836338195316717`], {5, + 17} -> Complex[-0.14277268958862907`, + 0.2479052297980392], {5, 18} -> + Complex[0.23396340114239164`, -0.14836338195316717`], {5, + 19} -> Complex[ + 0.07063495593763104, 0.18915546654520524`], {5, 20} -> + Complex[-0.1475728871036449, -0.14922079251460418`], {5, + 21} -> Complex[ + 0.16980607400071762`, -0.0009413154054021405], {5, 22} -> + Complex[0.1668226451310518, 0.2990474561368582], {5, 23} -> + Complex[-0.0964564876770649, -0.04387994353782962], {5, + 24} -> Complex[-0.31513742950926715`, + 0.04912752076041336], {5, 25} -> + Complex[-0.14372193892286123`, 0.45619687405618636`], {5, + 26} -> Complex[ + 0.28259964162527906`, -0.4055803745838325], {5, 27} -> + Complex[0.1366899433196731, 0.22179319605394876`], {5, + 28} -> Complex[0.7973608946322628, 0.], {5, 29} -> + Complex[0.05442442802981287, 0.14858688449114604`], {5, + 30} -> Complex[-0.2333099993372808, 0.2271710392758403], { + 5, 31} -> + Complex[-0.17155515501526808`, -0.1668433676200188], {5, + 32} -> Complex[-0.09765512477307971, + 0.4821278045577343], {6, 7} -> + Complex[0.17363309069570285`, 0.1403167246372976], {6, 8} -> + Complex[-0.04788255890923551, -0.12484288796949913`], {6, + 9} -> Complex[-0.05062234940479168, + 0.059412074076411546`], {6, 10} -> + Complex[-0.05565875071499052, 0.09437594864128791], {6, + 11} -> Complex[ + 0.05755533995669046, -0.07401317879009213], {6, 12} -> + Complex[0.11084673340471671`, 0.07367368444009487], {6, 13} -> Complex[ - 0.10074068312316217`, -0.24982130549270182`], {8, 14} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, - 15} -> Complex[-0.02849651545902821, - 0.13038883546342855`], {8, 16} -> - Complex[-0.218113151712259, 0.025091517498334166`], {8, - 17} -> Complex[-0.19090563198557167`, - 0.11085568682814102`], {8, 18} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, - 19} -> Complex[-0.19090563198557167`, - 0.11085568682814102`], {8, 20} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, - 21} -> Complex[-0.02849651545902821, - 0.13038883546342855`], {8, 22} -> - Complex[-0.218113151712259, 0.025091517498334166`], {8, - 23} -> Complex[ - 0.10074068312316217`, -0.24982130549270182`], {8, 24} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, - 25} -> Complex[0.2158761295291703, 0.079839801475396], { - 8, 26} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, - 27} -> Complex[ - 0.22196866627101539`, -0.20220472842758744`], {8, 28} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {8, - 29} -> Complex[0.3480244926609176, 0.], {8, 30} -> - Complex[-0.015725352039344952`, -0.1534965717731505], {8, - 31} -> Complex[-0.06282282822605365, \ --0.17443733981734005`], {8, 32} -> - Complex[-0.011194174176657017`, -0.18050668434763023`], { - 8, 33} -> Complex[-0.07400883501291561, - 0.04266786697540802], {8, 34} -> - Complex[-0.17507327039387915`, 0.2690120226571733], {8, - 35} -> Complex[-0.33111266457208555`, - 0.2799821244558118], {8, 36} -> - Complex[-0.32833718354949015`, 0.08613557464795678], {9, - 10} -> Complex[0.4666612200115955, 0.], {9, 11} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, - 12} -> Complex[-0.10523618574474686`, - 0.07147202526604769], {9, 13} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, - 14} -> Complex[0.04387227616028566, 0.169253767952832], { - 9, 15} -> Complex[-0.16219964087949312`, - 0.23052958058187878`], {9, 16} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, - 17} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, - 18} -> Complex[-0.14528807272467686`, - 0.1963794168890443], {9, 19} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, - 20} -> Complex[-0.14528807272467686`, - 0.1963794168890443], {9, 21} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {9, - 22} -> Complex[-0.13637897517564893`, \ --0.21978330419104863`], {9, 23} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, - 24} -> Complex[0.04387227616028566, 0.169253767952832], { - 9, 25} -> Complex[-0.002703366170010074, - 0.1342165202528226], {9, 26} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, - 27} -> Complex[ - 0.10214442350629199`, -0.026260413784740505`], {9, 28} -> - Complex[0.4666612200115955, 0.], {9, 29} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {9, - 30} -> Complex[ - 0.32107941916226146`, -0.09232207202497354], {9, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {9, - 32} -> Complex[ - 0.10082205206266875`, -0.054783259519745345`], {9, 33} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {9, - 34} -> Complex[-0.2841944960267362, 0.0881056163125139], { - 9, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {9, - 36} -> Complex[-0.45453234415494154`, \ --0.154590481023119], {10, 11} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, - 12} -> Complex[ - 0.026461024624226184`, -0.17157026853359011`], {10, 13} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, - 14} -> Complex[-0.09249860156321268, \ --0.12601316051490963`], {10, 15} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, - 16} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, - 17} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, - 18} -> Complex[-0.09261261877802832, \ --0.1270548580331935], {10, 19} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, - 20} -> Complex[-0.09261261877802832, \ --0.1270548580331935], {10, 21} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, - 22} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, - 23} -> Complex[ - 0.19742335371429923`, -0.09763016245015396], {10, 24} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, - 25} -> Complex[ - 0.14020706236902425`, 0.157106453123418], {10, 26} -> - Complex[0.026461024624226184`, -0.17157026853359011`], { - 10, 27} -> Complex[0.33314595779251727`, 0.], {10, 28} -> - Complex[0.10214442350629199`, 0.026260413784740505`], {10, - 29} -> Complex[ - 0.22196866627101539`, 0.20220472842758744`], {10, 30} -> - Complex[0.020907170696056646`, 0.009826517437731715], {10, - 31} -> Complex[ - 0.18344402773596857`, -0.12440237009032867`], {10, 32} -> - Complex[0.05541102122851009, -0.15479143125784764`], {10, - 33} -> Complex[-0.09116148563358083, - 0.08672925004639812], {10, 34} -> - Complex[-0.2521578356402413, -0.01333219816254436], {10, - 35} -> Complex[-0.5009225822231967, - 0.03036622844279574], {10, 36} -> - Complex[-0.1821537065194496, -0.1809373735116714], {11, - 12} -> Complex[0.35884454526493437`, 0.], {11, 13} -> - Complex[-0.1376685276414912, -0.017279120496164], {11, - 14} -> Complex[-0.005254583355195047, \ --0.07911629825938535], {11, 15} -> - Complex[0.09504874694484183, -0.252921972711526], {11, - 16} -> Complex[-0.016434880239505067`, \ --0.02799549139813756], {11, 17} -> - Complex[-0.004104217599466588, 0.09920939692115077], {11, + 0.005055667009208006, 0.1278205163933677], {6, 14} -> + Complex[0.019232961701569087`, -0.07895370068527609], {6, + 15} -> Complex[ + 0.05526746191692408, 0.16679705600024786`], {6, 16} -> + Complex[0.0703816300525041, -0.09831495930430345], {6, + 17} -> Complex[ + 0.05526746191692408, 0.16679705600024786`], {6, 18} -> + Complex[0.0703816300525041, -0.09831495930430345], {6, + 19} -> Complex[ + 0.005055667009208006, 0.1278205163933677], {6, 20} -> + Complex[0.019232961701569087`, -0.07895370068527609], {6, + 21} -> Complex[ + 0.05755533995669046, -0.07401317879009213], {6, 22} -> + Complex[0.11084673340471671`, 0.07367368444009487], {6, + 23} -> Complex[-0.05062234940479168, + 0.059412074076411546`], {6, 24} -> + Complex[-0.05565875071499052, 0.09437594864128791], {6, + 25} -> Complex[ + 0.17363309069570285`, 0.1403167246372976], {6, 26} -> + Complex[-0.04788255890923551, -0.12484288796949913`], {6, + 27} -> Complex[0.20263910536773755`, 0.], {6, 28} -> + Complex[0.1366899433196731, -0.22179319605394876`], {6, + 29} -> Complex[ + 0.19808970731622894`, -0.005640195231622968], {6, 30} -> + Complex[-0.05442442802981293, 0.14858688449114604`], {6, + 31} -> Complex[-0.21598365653956714`, + 0.09400730406176475], {6, 32} -> + Complex[0.13546634634545274`, 0.19241450807239194`], {7, + 8} -> Complex[0.5333747400652373, 0.], {7, 9} -> + Complex[0.06308937077219877, -0.16425756045192152`], {7, + 10} -> Complex[-0.18321791222949194`, + 0.035808072295513985`], {7, 11} -> + Complex[0.14683816981476766`, 0.034502058514711414`], {7, + 12} -> Complex[-0.11348480027122035`, + 0.34468442336798244`], {7, 13} -> + Complex[-0.05181977912767945, 0.037809566636026526`], {7, + 14} -> Complex[ + 0.05350396017855871, -0.038145366086212794`], {7, 15} -> + Complex[-0.1855462901651881, 0.08953347157789894], {7, + 16} -> Complex[ + 0.21051246235757812`, 0.08951514239750463], {7, 17} -> + Complex[-0.1855462901651881, 0.08953347157789894], {7, 18} -> Complex[ - 0.08241113354082491, -0.24960895170610842`], {11, 19} -> - Complex[-0.004104217599466588, 0.09920939692115077], {11, + 0.21051246235757812`, 0.08951514239750463], {7, 19} -> + Complex[-0.05181977912767945, 0.037809566636026526`], {7, 20} -> Complex[ - 0.08241113354082491, -0.24960895170610842`], {11, 21} -> - Complex[0.09504874694484183, -0.252921972711526], {11, - 22} -> Complex[-0.016434880239505067`, \ --0.02799549139813756], {11, 23} -> - Complex[-0.1376685276414912, -0.017279120496164], {11, - 24} -> Complex[-0.005254583355195047, \ --0.07911629825938535], {11, 25} -> - Complex[0.03589005743520234, 0.010244248183710654`], {11, - 26} -> Complex[0.35884454526493437`, 0.], {11, 27} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {11, - 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {11, - 29} -> Complex[-0.07072413917244547, - 0.06080711260518379], {11, 30} -> - Complex[0.017491034151456156`, 0.1422934683362202], {11, - 31} -> Complex[0.04881033618836923, 0.3767537051917446], { - 11, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {11, - 33} -> Complex[-0.07901145315910152, \ --0.12060096224364471`], {11, 34} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {11, - 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {11, - 36} -> Complex[ - 0.12697363466636613`, 0.017287640275502197`], {12, 13} -> - Complex[-0.017700618374932788`, -0.229189990199907], {12, - 14} -> Complex[-0.18045658269343973`, \ --0.06407563305713601], {12, 15} -> - Complex[0.029111053747052022`, -0.03092252970487717], {12, - 16} -> Complex[-0.10573743372545524`, - 0.06148505498780174], {12, 17} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {12, - 18} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {12, - 19} -> Complex[-0.12879874504374314`, - 0.15781559429956118`], {12, 20} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {12, - 21} -> Complex[ - 0.029111053747052022`, -0.03092252970487717], {12, 22} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {12, - 23} -> Complex[-0.017700618374932788`, \ --0.229189990199907], {12, 24} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {12, - 25} -> Complex[0.2638704815566899, 0.], {12, 26} -> - Complex[0.03589005743520234, -0.010244248183710654`], {12, + 0.05350396017855871, -0.038145366086212794`], {7, 21} -> + Complex[0.14683816981476766`, 0.034502058514711414`], {7, + 22} -> Complex[-0.11348480027122035`, + 0.34468442336798244`], {7, 23} -> + Complex[0.06308937077219877, -0.16425756045192152`], {7, + 24} -> Complex[-0.18321791222949194`, + 0.035808072295513985`], {7, 25} -> + Complex[-0.25986751190259594`, 0.19937008578078047`], {7, + 26} -> Complex[0.5333747400652373, 0.], {7, 27} -> + Complex[-0.04788255890923551, 0.12484288796949913`], {7, + 28} -> Complex[ + 0.28259964162527906`, 0.4055803745838325], {7, 29} -> + Complex[0.1938167265709829, 0.16890318060989123`], {7, + 30} -> Complex[-0.3396867137428587, \ +-0.13646163767421743`], {7, 31} -> + Complex[0.3366775563160397, 0.09992753883776476], {7, 32} -> + Complex[-0.2128973260243628, 0.2803118968875541], {8, 9} -> + Complex[-0.07482735080148525, 0.01554709808796357], {8, + 10} -> Complex[0.22912253169347, 0.25555554669124914`], { + 8, 11} -> + Complex[-0.021450925664317888`, -0.20231262751067364`], { + 8, 12} -> Complex[ + 0.23530920684103981`, -0.0909192260612194], {8, 13} -> + Complex[0.022865123054102737`, -0.04960709547698468], {8, + 14} -> Complex[ + 0.08074598001208205, 0.08855457473741418], {8, 15} -> + Complex[0.2559730175620584, 0.12078716288411598`], {8, + 16} -> Complex[-0.06038101273760845, \ +-0.13919179950515956`], {8, 17} -> + Complex[0.2559730175620584, 0.12078716288411598`], {8, + 18} -> Complex[-0.06038101273760845, \ +-0.13919179950515956`], {8, 19} -> + Complex[0.022865123054102737`, -0.04960709547698468], {8, + 20} -> Complex[ + 0.08074598001208205, 0.08855457473741418], {8, 21} -> + Complex[-0.021450925664317888`, -0.20231262751067364`], { + 8, 22} -> Complex[ + 0.23530920684103981`, -0.0909192260612194], {8, 23} -> + Complex[-0.07482735080148525, 0.01554709808796357], {8, + 24} -> Complex[0.22912253169347, 0.25555554669124914`], { + 8, 25} -> Complex[0.44279991664860185`, 0.], {8, 26} -> + Complex[-0.25986751190259594`, -0.19937008578078047`], {8, 27} -> Complex[ - 0.14020706236902425`, -0.157106453123418], {12, 28} -> - Complex[-0.002703366170010074, -0.1342165202528226], {12, - 29} -> Complex[0.2158761295291703, -0.079839801475396], { - 12, 30} -> - Complex[-0.09078438719781487, 0.08387695970470208], {12, - 31} -> Complex[-0.05197448003562596, \ --0.034035129192128775`], {12, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], { - 12, 33} -> - Complex[0.03971739520512007, 0.01279589611612527], {12, - 34} -> Complex[ - 0.07182371169440027, 0.13961968957305576`], {12, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {12, - 36} -> Complex[-0.28325062776683585`, - 0.15967643343543628`], {13, 14} -> - Complex[0.3248309079027546, 0.], {13, 15} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, - 16} -> Complex[-0.055024457915968744`, \ --0.00875520102328074], {13, 17} -> - Complex[0.039373147369999854`, -0.022673347542931065`], { - 13, 18} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, + 0.17363309069570285`, -0.1403167246372976], {8, 28} -> + Complex[-0.14372193892286123`, -0.45619687405618636`], {8, + 29} -> Complex[ + 0.26723944870955263`, -0.18013517883484725`], {8, 30} -> + Complex[0.10734135762637748`, 0.19617830350078105`], {8, + 31} -> Complex[ + 0.040650102227546676`, 0.037686955531505785`], {8, 32} -> + Complex[0.26488016647622287`, 0.03177814393460615], {9, + 10} -> Complex[0.42635779992285405`, 0.], {9, 11} -> + Complex[-0.13939394787264447`, -0.13747106056552227`], {9, + 12} -> Complex[ + 0.06842480050902869, -0.15505501766299976`], {9, 13} -> + Complex[-0.15768324024018812`, -0.14328868692391553`], {9, + 14} -> Complex[ + 0.2643754685221928, 0.07682893410517902], {9, 15} -> + Complex[0.1920939879748598, -0.10630694451257516`], {9, + 16} -> Complex[-0.07538887957770507, + 0.014151525468183115`], {9, 17} -> + Complex[0.1920939879748598, -0.10630694451257516`], {9, + 18} -> Complex[-0.07538887957770507, + 0.014151525468183115`], {9, 19} -> + Complex[-0.15768324024018812`, -0.14328868692391553`], {9, + 20} -> Complex[ + 0.2643754685221928, 0.07682893410517902], {9, 21} -> + Complex[-0.13939394787264447`, -0.13747106056552227`], {9, + 22} -> Complex[ + 0.06842480050902869, -0.15505501766299976`], {9, 23} -> + Complex[-0.11019599040362683`, -0.05916418261795878], {9, + 24} -> Complex[0.42635779992285405`, 0.], {9, 25} -> + Complex[0.22912253169347, -0.25555554669124914`], {9, 26} -> + Complex[-0.18321791222949194`, -0.035808072295513985`], { + 9, 27} -> + Complex[-0.05565875071499052, -0.09437594864128791], {9, + 28} -> Complex[-0.31513742950926715`, \ +-0.04912752076041336], {9, 29} -> + Complex[0.11017975259513822`, -0.24891234255610362`], {9, + 30} -> Complex[ + 0.10029581103120666`, -0.01981792746027898], {9, 31} -> + Complex[0.2533574041138994, -0.2841723464925085], {9, 32} -> + Complex[0.020172727999101747`, -0.03449935263782891], {10, + 11} -> Complex[ + 0.03975514319435934, 0.05151250369655895], {10, 12} -> + Complex[-0.08930473416931554, -0.007048096041707605], {10, + 13} -> Complex[ + 0.12032699300738342`, -0.048441152283289074`], {10, 14} -> + Complex[-0.12725910621181818`, 0.07905444855796712], {10, + 15} -> Complex[-0.026647065623548363`, \ +-0.026330641239406972`], {10, 16} -> + Complex[-0.04860629109081113, 0.04246480370392383], {10, + 17} -> Complex[-0.026647065623548363`, \ +-0.026330641239406972`], {10, 18} -> + Complex[-0.04860629109081113, 0.04246480370392383], {10, 19} -> Complex[ - 0.039373147369999854`, -0.022673347542931065`], {13, 20} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, + 0.12032699300738342`, -0.048441152283289074`], {10, 20} -> + Complex[-0.12725910621181818`, 0.07905444855796712], {10, 21} -> Complex[ - 0.12183252883416357`, 0.15881245002612598`], {13, 22} -> - Complex[-0.055024457915968744`, -0.00875520102328074], { - 13, 23} -> - Complex[0.06998304089724083, 0.09262495833114717], {13, - 24} -> Complex[0.3248309079027546, 0.], {13, 25} -> - Complex[-0.18045658269343973`, 0.06407563305713601], {13, - 26} -> Complex[-0.005254583355195047, - 0.07911629825938535], {13, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {13, - 28} -> Complex[0.04387227616028566, -0.169253767952832], { - 13, 29} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {13, - 30} -> Complex[ - 0.015573345706232422`, -0.33611710368003506`], {13, 31} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {13, - 32} -> Complex[ - 0.11263046571451424`, 0.15943812713557814`], {13, 33} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], { - 13, 34} -> - Complex[-0.08996062722681389, 0.04963088270675587], {13, - 35} -> Complex[ - 0.054818062753627404`, -0.18407880112585107`], {13, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {14, - 15} -> Complex[-0.042124735558062835`, - 0.12231882955045151`], {14, 16} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, - 17} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], { - 14, 18} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, - 19} -> Complex[-0.12599372208886145`, \ --0.18913477597107048`], {14, 20} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, - 21} -> Complex[-0.042124735558062835`, - 0.12231882955045151`], {14, 22} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, - 23} -> Complex[0.35279363941541053`, 0.], {14, 24} -> - Complex[0.06998304089724083, -0.09262495833114717], {14, - 25} -> Complex[-0.017700618374932788`, - 0.229189990199907], {14, 26} -> - Complex[-0.1376685276414912, 0.017279120496164], {14, 27} -> - Complex[0.19742335371429923`, 0.09763016245015396], {14, - 28} -> Complex[ - 0.19754043867481771`, 0.06710821743420367], {14, 29} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {14, - 30} -> Complex[-0.03694461851812731, \ --0.11992171449363792`], {14, 31} -> - Complex[0.03210691866533716, -0.25866941133955584`], {14, - 32} -> Complex[ - 0.20153478327455962`, -0.091416725802769], {14, 33} -> - Complex[-0.06287334385176857, 0.039875195608224154`], {14, - 34} -> Complex[-0.26044059541670533`, - 0.05145411756901592], {14, 35} -> - Complex[-0.25377338518228143`, -0.22696868263028766`], { - 14, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], { - 15, 16} -> Complex[0.18939927318289235`, 0.], {15, 17} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, + 0.03975514319435934, 0.05151250369655895], {10, 22} -> + Complex[-0.08930473416931554, -0.007048096041707605], {10, + 23} -> Complex[0.135726527386378, 0.], {10, 24} -> + Complex[-0.11019599040362683`, 0.05916418261795878], {10, + 25} -> Complex[-0.07482735080148525, \ +-0.01554709808796357], {10, 26} -> + Complex[0.06308937077219877, 0.16425756045192152`], {10, + 27} -> Complex[-0.05062234940479168, \ +-0.059412074076411546`], {10, 28} -> + Complex[-0.0964564876770649, 0.04387994353782962], {10, + 29} -> Complex[-0.06778091820891004, + 0.11263382211139406`], {10, 30} -> + Complex[0.06550651054263391, -0.09165221630004965], {10, + 31} -> Complex[ + 0.07078276202467412, 0.30788890986999096`], {10, 32} -> + Complex[-0.06765757529077783, -0.13038007028245235`], {11, + 12} -> Complex[0.288790430194917, 0.], {11, 13} -> + Complex[0.1011867533194991, 0.05266749081168851], {11, + 14} -> Complex[-0.07986138310064092, \ +-0.05490753841460036], {11, 15} -> + Complex[0.15833164198889998`, 0.11387642571006557`], {11, + 16} -> Complex[ + 0.0049348768685348095`, -0.19401579066298913`], {11, 17} -> + Complex[0.15833164198889998`, 0.11387642571006557`], {11, 18} -> Complex[ - 0.012115526439909248`, -0.07586465949937707], {15, 19} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, - 20} -> Complex[ - 0.012115526439909248`, -0.07586465949937707], {15, 21} -> - Complex[0.0018678498053481644`, -0.11355320674819902`], { - 15, 22} -> Complex[0.18939927318289235`, 0.], {15, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {15, - 24} -> Complex[-0.055024457915968744`, - 0.00875520102328074], {15, 25} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {15, - 26} -> Complex[-0.016434880239505067`, - 0.02799549139813756], {15, 27} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {15, - 28} -> Complex[-0.13637897517564893`, - 0.21978330419104863`], {15, 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {15, - 30} -> Complex[-0.07025866437087314, - 0.18394307455842968`], {15, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {15, - 32} -> Complex[-0.00498052152715275, - 0.08042658142468531], {15, 33} -> - Complex[0.0896129289093057, 0.08670073786995046], {15, - 34} -> Complex[ - 0.12372341411859573`, -0.16477324944202285`], {15, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {15, - 36} -> Complex[ - 0.23903733008036765`, -0.09626849124511486], {16, 17} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, + 0.0049348768685348095`, -0.19401579066298913`], {11, 19} -> + Complex[0.1011867533194991, 0.05266749081168851], {11, + 20} -> Complex[-0.07986138310064092, \ +-0.05490753841460036], {11, 21} -> + Complex[-0.013539473736158613`, -0.13067968221082676`], { + 11, 22} -> Complex[0.288790430194917, 0.], {11, 23} -> + Complex[-0.08930473416931554, 0.007048096041707605], {11, + 24} -> Complex[ + 0.06842480050902869, 0.15505501766299976`], {11, 25} -> + Complex[0.23530920684103981`, 0.0909192260612194], {11, + 26} -> Complex[-0.11348480027122035`, \ +-0.34468442336798244`], {11, 27} -> + Complex[0.11084673340471671`, -0.07367368444009487], {11, + 28} -> Complex[0.1668226451310518, -0.2990474561368582], { + 11, 29} -> + Complex[0.09392733334800707, -0.23700943627758006`], {11, + 30} -> Complex[ + 0.012301908189476976`, 0.29819031736230395`], {11, 31} -> + Complex[0.036746036528397724`, -0.11894266930455437`], { + 11, 32} -> + Complex[0.2806974213994702, 0.046546994330126934`], {12, + 13} -> Complex[ + 0.03249739020896987, -0.007688837072184563], {12, 14} -> + Complex[-0.03666874742079528, 0.07798472902890301], {12, + 15} -> Complex[-0.07116526154293495, + 0.12925982418550483`], {12, 16} -> + Complex[0.07267050201545142, 0.011714058141280672`], {12, + 17} -> Complex[-0.07116526154293495, + 0.12925982418550483`], {12, 18} -> + Complex[0.07267050201545142, 0.011714058141280672`], {12, + 19} -> Complex[ + 0.03249739020896987, -0.007688837072184563], {12, 20} -> + Complex[-0.03666874742079528, 0.07798472902890301], {12, + 21} -> Complex[0.1272054475990647, 0.], {12, 22} -> + Complex[-0.013539473736158613`, 0.13067968221082676`], { + 12, 23} -> + Complex[0.03975514319435934, -0.05151250369655895], {12, + 24} -> Complex[-0.13939394787264447`, + 0.13747106056552227`], {12, 25} -> + Complex[-0.021450925664317888`, 0.20231262751067364`], { + 12, 26} -> + Complex[0.14683816981476766`, -0.034502058514711414`], { + 12, 27} -> + Complex[0.05755533995669046, 0.07401317879009213], {12, + 28} -> Complex[ + 0.16980607400071762`, 0.0009413154054021405], {12, 29} -> + Complex[0.10046002901967245`, 0.19478861449336152`], {12, + 30} -> Complex[-0.0832461030605116, + 0.0007900461969849934], {12, 31} -> + Complex[0.014982384821209789`, 0.13663234668804805`], {12, + 32} -> Complex[-0.1353776277549702, + 0.09474310902835915], {13, 14} -> + Complex[0.4079525483141261, 0.], {13, 15} -> + Complex[0.006827467338087173, -0.01209924810690289], {13, + 16} -> Complex[ + 0.08723277223992514, 0.11080073531383203`], {13, 17} -> + Complex[0.006827467338087173, -0.01209924810690289], {13, 18} -> Complex[ - 0.3520451599439639, -0.006012121161366684], {16, 19} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, - 20} -> Complex[ - 0.3520451599439639, -0.006012121161366684], {16, 21} -> - Complex[0.349552824256183, 0.], {16, 22} -> - Complex[0.0018678498053481644`, 0.11355320674819902`], { - 16, 23} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], { - 16, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {16, - 25} -> Complex[ - 0.029111053747052022`, 0.03092252970487717], {16, 26} -> - Complex[0.09504874694484183, 0.252921972711526], {16, 27} -> - Complex[-0.13187039110424337`, 0.05577367679001426], {16, - 28} -> Complex[-0.16219964087949312`, \ --0.23052958058187878`], {16, 29} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {16, - 30} -> - Complex[-0.3170629158392618, -0.07863950467973177], {16, - 31} -> Complex[-0.27597397639459753`, - 0.2023899803882464], {16, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {16, - 33} -> Complex[-0.10985803268384983`, - 0.010763626429992096`], {16, 34} -> - Complex[0.27720818247658857`, 0.1557462430493763], {16, - 35} -> Complex[ - 0.07950629072406969, -0.15112987613524487`], {16, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {17, - 18} -> Complex[0.3905441579974116, 0.], {17, 19} -> - Complex[0.007773728117029734, 0.02423539675981027], {17, - 20} -> Complex[0.3905441579974116, 0.], {17, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {17, - 22} -> Complex[ - 0.012115526439909248`, 0.07586465949937707], {17, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {17, + 0.08723277223992514, 0.11080073531383203`], {13, 19} -> + Complex[-0.3220977038351225, -0.0383011718065015], {13, + 20} -> Complex[0.4079525483141261, 0.], {13, 21} -> + Complex[-0.03666874742079528, -0.07798472902890301], {13, + 22} -> Complex[-0.07986138310064092, + 0.05490753841460036], {13, 23} -> + Complex[-0.12725910621181818`, -0.07905444855796712], {13, 24} -> Complex[ - 0.17469085565385242`, -0.20815325028445178`], {17, 25} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {17, + 0.2643754685221928, -0.07682893410517902], {13, 25} -> + Complex[0.08074598001208205, -0.08855457473741418], {13, 26} -> Complex[ - 0.08241113354082491, 0.24960895170610842`], {17, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {17, - 28} -> Complex[-0.14528807272467686`, \ --0.1963794168890443], {17, 29} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {17, - 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {17, - 31} -> Complex[-0.24139750211906025`, - 0.17856311543581216`], {17, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {17, - 33} -> Complex[-0.1606002091580235, - 0.04277649306205672], {17, 34} -> - Complex[0.20846784571655388`, 0.1346840497441242], {17, - 35} -> Complex[ - 0.020304980203947276`, -0.2448019195395177], {17, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {18, - 19} -> Complex[0.27470470789916873`, 0.], {18, 20} -> - Complex[0.007773728117029734, -0.02423539675981027], {18, + 0.05350396017855871, 0.038145366086212794`], {13, 27} -> + Complex[0.019232961701569087`, 0.07895370068527609], {13, + 28} -> Complex[-0.1475728871036449, + 0.14922079251460418`], {13, 29} -> + Complex[0.27858075604955634`, -0.030371398383274933`], { + 13, 30} -> + Complex[-0.15607378409602476`, -0.1439965761825238], {13, + 31} -> Complex[ + 0.11917354760172008`, -0.272212173030505], {13, 32} -> + Complex[-0.10354421178516458`, 0.22986188863366275`], {14, + 15} -> Complex[ + 0.06970781907889996, 0.027872664118806813`], {14, 16} -> + Complex[-0.08476806338113038, -0.11473204575369803`], {14, + 17} -> Complex[ + 0.06970781907889996, 0.027872664118806813`], {14, 18} -> + Complex[-0.08476806338113038, -0.11473204575369803`], {14, + 19} -> Complex[0.29582940176126815`, 0.], {14, 20} -> + Complex[-0.3220977038351225, 0.0383011718065015], {14, 21} -> Complex[ - 0.008173587051180226, -0.09795082074318642], {18, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {18, - 23} -> Complex[-0.12599372208886145`, - 0.18913477597107048`], {18, 24} -> - Complex[0.039373147369999854`, 0.022673347542931065`], { - 18, 25} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], { - 18, 26} -> - Complex[-0.004104217599466588, -0.09920939692115077], {18, - 27} -> Complex[-0.1350116019726202, - 0.04516801561911384], {18, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {18, - 29} -> Complex[-0.19090563198557167`, \ --0.11085568682814102`], {18, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {18, - 31} -> Complex[0.1302477399556314, 0.104114370134477], { + 0.03249739020896987, 0.007688837072184563], {14, 22} -> + Complex[0.1011867533194991, -0.05266749081168851], {14, + 23} -> Complex[ + 0.12032699300738342`, 0.048441152283289074`], {14, 24} -> + Complex[-0.15768324024018812`, 0.14328868692391553`], {14, + 25} -> Complex[ + 0.022865123054102737`, 0.04960709547698468], {14, 26} -> + Complex[-0.05181977912767945, -0.037809566636026526`], { + 14, 27} -> + Complex[0.005055667009208006, -0.1278205163933677], {14, + 28} -> Complex[ + 0.07063495593763104, -0.18915546654520524`], {14, 29} -> + Complex[-0.14920571596040955`, -0.004668871253339259], { + 14, 30} -> + Complex[0.1695753382061036, 0.12525309112556196`], {14, + 31} -> Complex[-0.005519120018070173, + 0.32277555558099397`], {14, 32} -> + Complex[0.0926308918937118, -0.14887764782704088`], {15, + 16} -> Complex[0.1576509820323173, 0.], {15, 17} -> + Complex[-0.07621780081525145, 0.10986947258054452`], {15, + 18} -> Complex[0.1576509820323173, 0.], {15, 19} -> + Complex[-0.08476806338113038, 0.11473204575369803`], {15, + 20} -> Complex[ + 0.08723277223992514, -0.11080073531383203`], {15, 21} -> + Complex[0.07267050201545142, -0.011714058141280672`], {15, + 22} -> Complex[ + 0.0049348768685348095`, 0.19401579066298913`], {15, 23} -> + Complex[-0.04860629109081113, -0.04246480370392383], {15, + 24} -> Complex[-0.07538887957770507, \ +-0.014151525468183115`], {15, 25} -> + Complex[-0.06038101273760845, 0.13919179950515956`], {15, + 26} -> Complex[ + 0.21051246235757812`, -0.08951514239750463], {15, 27} -> + Complex[0.0703816300525041, 0.09831495930430345], {15, + 28} -> Complex[ + 0.23396340114239164`, 0.14836338195316717`], {15, 29} -> + Complex[0.1559809531435565, 0.03223196939623798], {15, + 30} -> Complex[-0.20988883047294088`, + 0.03544251396822046], {15, 31} -> + Complex[-0.007195583582784125, -0.06896354235277449], {15, + 32} -> Complex[-0.0749459256389439, + 0.2284108346745835], {16, 17} -> + Complex[0.21788533841205476`, 0.], {16, 18} -> + Complex[-0.07621780081525145, -0.10986947258054452`], {16, + 19} -> Complex[ + 0.06970781907889996, -0.027872664118806813`], {16, 20} -> + Complex[0.006827467338087173, 0.01209924810690289], {16, + 21} -> Complex[-0.07116526154293495, \ +-0.12925982418550483`], {16, 22} -> + Complex[0.15833164198889998`, -0.11387642571006557`], {16, + 23} -> Complex[-0.026647065623548363`, + 0.026330641239406972`], {16, 24} -> + Complex[0.1920939879748598, 0.10630694451257516`], {16, + 25} -> Complex[ + 0.2559730175620584, -0.12078716288411598`], {16, 26} -> + Complex[-0.1855462901651881, -0.08953347157789894], {16, + 27} -> Complex[ + 0.05526746191692408, -0.16679705600024786`], {16, 28} -> + Complex[-0.14277268958862907`, -0.2479052297980392], {16, + 29} -> Complex[ + 0.0843470356919863, -0.21628437576571974`], {16, 30} -> + Complex[0.1504904090013878, 0.12024277886252119`], {16, + 31} -> Complex[0.08124011098625433, 0.0559800004451918], { + 16, 32} -> + Complex[0.1737724935599298, -0.007390914815773142], {17, + 18} -> Complex[0.1576509820323173, 0.], {17, 19} -> + Complex[-0.08476806338113038, 0.11473204575369803`], {17, + 20} -> Complex[ + 0.08723277223992514, -0.11080073531383203`], {17, 21} -> + Complex[0.07267050201545142, -0.011714058141280672`], {17, + 22} -> Complex[ + 0.0049348768685348095`, 0.19401579066298913`], {17, 23} -> + Complex[-0.04860629109081113, -0.04246480370392383], {17, + 24} -> Complex[-0.07538887957770507, \ +-0.014151525468183115`], {17, 25} -> + Complex[-0.06038101273760845, 0.13919179950515956`], {17, + 26} -> Complex[ + 0.21051246235757812`, -0.08951514239750463], {17, 27} -> + Complex[0.0703816300525041, 0.09831495930430345], {17, + 28} -> Complex[ + 0.23396340114239164`, 0.14836338195316717`], {17, 29} -> + Complex[0.1559809531435565, 0.03223196939623798], {17, + 30} -> Complex[-0.20988883047294088`, + 0.03544251396822046], {17, 31} -> + Complex[-0.007195583582784125, -0.06896354235277449], {17, + 32} -> Complex[-0.0749459256389439, + 0.2284108346745835], {18, 19} -> + Complex[0.06970781907889996, -0.027872664118806813`], {18, + 20} -> Complex[ + 0.006827467338087173, 0.01209924810690289], {18, 21} -> + Complex[-0.07116526154293495, -0.12925982418550483`], {18, + 22} -> Complex[ + 0.15833164198889998`, -0.11387642571006557`], {18, 23} -> + Complex[-0.026647065623548363`, 0.026330641239406972`], { + 18, 24} -> + Complex[0.1920939879748598, 0.10630694451257516`], {18, + 25} -> Complex[ + 0.2559730175620584, -0.12078716288411598`], {18, 26} -> + Complex[-0.1855462901651881, -0.08953347157789894], {18, + 27} -> Complex[ + 0.05526746191692408, -0.16679705600024786`], {18, 28} -> + Complex[-0.14277268958862907`, -0.2479052297980392], {18, + 29} -> Complex[ + 0.0843470356919863, -0.21628437576571974`], {18, 30} -> + Complex[0.1504904090013878, 0.12024277886252119`], {18, + 31} -> Complex[0.08124011098625433, 0.0559800004451918], { 18, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {18, - 33} -> Complex[-0.1355879777222275, - 0.08845876363140671], {18, 34} -> - Complex[0.09968546178967824, -0.1683352007294286], {18, - 35} -> Complex[ - 0.13747177730338656`, 0.016173756793363754`], {18, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {19, - 20} -> Complex[0.3905441579974116, 0.], {19, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {19, - 22} -> Complex[ - 0.012115526439909248`, 0.07586465949937707], {19, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {19, + Complex[0.1737724935599298, -0.007390914815773142], {19, + 20} -> Complex[0.4079525483141261, 0.], {19, 21} -> + Complex[-0.03666874742079528, -0.07798472902890301], {19, + 22} -> Complex[-0.07986138310064092, + 0.05490753841460036], {19, 23} -> + Complex[-0.12725910621181818`, -0.07905444855796712], {19, 24} -> Complex[ - 0.17469085565385242`, -0.20815325028445178`], {19, 25} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {19, + 0.2643754685221928, -0.07682893410517902], {19, 25} -> + Complex[0.08074598001208205, -0.08855457473741418], {19, 26} -> Complex[ - 0.08241113354082491, 0.24960895170610842`], {19, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {19, - 28} -> Complex[-0.14528807272467686`, \ --0.1963794168890443], {19, 29} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {19, - 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {19, - 31} -> Complex[-0.24139750211906025`, - 0.17856311543581216`], {19, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {19, - 33} -> Complex[-0.1606002091580235, - 0.04277649306205672], {19, 34} -> - Complex[0.20846784571655388`, 0.1346840497441242], {19, - 35} -> Complex[ - 0.020304980203947276`, -0.2448019195395177], {19, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {20, - 21} -> Complex[ - 0.008173587051180226, -0.09795082074318642], {20, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {20, - 23} -> Complex[-0.12599372208886145`, - 0.18913477597107048`], {20, 24} -> - Complex[0.039373147369999854`, 0.022673347542931065`], { - 20, 25} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], { - 20, 26} -> - Complex[-0.004104217599466588, -0.09920939692115077], {20, - 27} -> Complex[-0.1350116019726202, - 0.04516801561911384], {20, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {20, - 29} -> Complex[-0.19090563198557167`, \ --0.11085568682814102`], {20, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {20, - 31} -> Complex[0.1302477399556314, 0.104114370134477], { - 20, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {20, - 33} -> Complex[-0.1355879777222275, - 0.08845876363140671], {20, 34} -> - Complex[0.09968546178967824, -0.1683352007294286], {20, - 35} -> Complex[ - 0.13747177730338656`, 0.016173756793363754`], {20, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {21, - 22} -> Complex[0.18939927318289235`, 0.], {21, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {21, - 24} -> Complex[-0.055024457915968744`, - 0.00875520102328074], {21, 25} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {21, - 26} -> Complex[-0.016434880239505067`, - 0.02799549139813756], {21, 27} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {21, - 28} -> Complex[-0.13637897517564893`, - 0.21978330419104863`], {21, 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {21, - 30} -> Complex[-0.07025866437087314, - 0.18394307455842968`], {21, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {21, - 32} -> Complex[-0.00498052152715275, - 0.08042658142468531], {21, 33} -> - Complex[0.0896129289093057, 0.08670073786995046], {21, - 34} -> Complex[ - 0.12372341411859573`, -0.16477324944202285`], {21, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {21, - 36} -> Complex[ - 0.23903733008036765`, -0.09626849124511486], {22, 23} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], { - 22, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {22, + 0.05350396017855871, 0.038145366086212794`], {19, 27} -> + Complex[0.019232961701569087`, 0.07895370068527609], {19, + 28} -> Complex[-0.1475728871036449, + 0.14922079251460418`], {19, 29} -> + Complex[0.27858075604955634`, -0.030371398383274933`], { + 19, 30} -> + Complex[-0.15607378409602476`, -0.1439965761825238], {19, + 31} -> Complex[ + 0.11917354760172008`, -0.272212173030505], {19, 32} -> + Complex[-0.10354421178516458`, 0.22986188863366275`], {20, + 21} -> Complex[ + 0.03249739020896987, 0.007688837072184563], {20, 22} -> + Complex[0.1011867533194991, -0.05266749081168851], {20, + 23} -> Complex[ + 0.12032699300738342`, 0.048441152283289074`], {20, 24} -> + Complex[-0.15768324024018812`, 0.14328868692391553`], {20, 25} -> Complex[ - 0.029111053747052022`, 0.03092252970487717], {22, 26} -> - Complex[0.09504874694484183, 0.252921972711526], {22, 27} -> - Complex[-0.13187039110424337`, 0.05577367679001426], {22, - 28} -> Complex[-0.16219964087949312`, \ --0.23052958058187878`], {22, 29} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {22, - 30} -> - Complex[-0.3170629158392618, -0.07863950467973177], {22, - 31} -> Complex[-0.27597397639459753`, - 0.2023899803882464], {22, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {22, - 33} -> Complex[-0.10985803268384983`, - 0.010763626429992096`], {22, 34} -> - Complex[0.27720818247658857`, 0.1557462430493763], {22, - 35} -> Complex[ - 0.07950629072406969, -0.15112987613524487`], {22, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {23, - 24} -> Complex[0.3248309079027546, 0.], {23, 25} -> - Complex[-0.18045658269343973`, 0.06407563305713601], {23, - 26} -> Complex[-0.005254583355195047, - 0.07911629825938535], {23, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {23, - 28} -> Complex[0.04387227616028566, -0.169253767952832], { - 23, 29} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {23, + 0.022865123054102737`, 0.04960709547698468], {20, 26} -> + Complex[-0.05181977912767945, -0.037809566636026526`], { + 20, 27} -> + Complex[0.005055667009208006, -0.1278205163933677], {20, + 28} -> Complex[ + 0.07063495593763104, -0.18915546654520524`], {20, 29} -> + Complex[-0.14920571596040955`, -0.004668871253339259], { + 20, 30} -> + Complex[0.1695753382061036, 0.12525309112556196`], {20, + 31} -> Complex[-0.005519120018070173, + 0.32277555558099397`], {20, 32} -> + Complex[0.0926308918937118, -0.14887764782704088`], {21, + 22} -> Complex[0.288790430194917, 0.], {21, 23} -> + Complex[-0.08930473416931554, 0.007048096041707605], {21, + 24} -> Complex[ + 0.06842480050902869, 0.15505501766299976`], {21, 25} -> + Complex[0.23530920684103981`, 0.0909192260612194], {21, + 26} -> Complex[-0.11348480027122035`, \ +-0.34468442336798244`], {21, 27} -> + Complex[0.11084673340471671`, -0.07367368444009487], {21, + 28} -> Complex[0.1668226451310518, -0.2990474561368582], { + 21, 29} -> + Complex[0.09392733334800707, -0.23700943627758006`], {21, + 30} -> Complex[ + 0.012301908189476976`, 0.29819031736230395`], {21, 31} -> + Complex[0.036746036528397724`, -0.11894266930455437`], { + 21, 32} -> + Complex[0.2806974213994702, 0.046546994330126934`], {22, + 23} -> Complex[ + 0.03975514319435934, -0.05151250369655895], {22, 24} -> + Complex[-0.13939394787264447`, 0.13747106056552227`], {22, + 25} -> Complex[-0.021450925664317888`, + 0.20231262751067364`], {22, 26} -> + Complex[0.14683816981476766`, -0.034502058514711414`], { + 22, 27} -> + Complex[0.05755533995669046, 0.07401317879009213], {22, + 28} -> Complex[ + 0.16980607400071762`, 0.0009413154054021405], {22, 29} -> + Complex[0.10046002901967245`, 0.19478861449336152`], {22, + 30} -> Complex[-0.0832461030605116, + 0.0007900461969849934], {22, 31} -> + Complex[0.014982384821209789`, 0.13663234668804805`], {22, + 32} -> Complex[-0.1353776277549702, + 0.09474310902835915], {23, 24} -> + Complex[0.42635779992285405`, 0.], {23, 25} -> + Complex[0.22912253169347, -0.25555554669124914`], {23, + 26} -> Complex[-0.18321791222949194`, \ +-0.035808072295513985`], {23, 27} -> + Complex[-0.05565875071499052, -0.09437594864128791], {23, + 28} -> Complex[-0.31513742950926715`, \ +-0.04912752076041336], {23, 29} -> + Complex[0.11017975259513822`, -0.24891234255610362`], {23, 30} -> Complex[ - 0.015573345706232422`, -0.33611710368003506`], {23, 31} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {23, + 0.10029581103120666`, -0.01981792746027898], {23, 31} -> + Complex[0.2533574041138994, -0.2841723464925085], {23, 32} -> Complex[ - 0.11263046571451424`, 0.15943812713557814`], {23, 33} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], { - 23, 34} -> - Complex[-0.08996062722681389, 0.04963088270675587], {23, - 35} -> Complex[ - 0.054818062753627404`, -0.18407880112585107`], {23, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {24, - 25} -> Complex[-0.017700618374932788`, - 0.229189990199907], {24, 26} -> - Complex[-0.1376685276414912, 0.017279120496164], {24, 27} -> - Complex[0.19742335371429923`, 0.09763016245015396], {24, + 0.020172727999101747`, -0.03449935263782891], {24, 25} -> + Complex[-0.07482735080148525, -0.01554709808796357], {24, + 26} -> Complex[ + 0.06308937077219877, 0.16425756045192152`], {24, 27} -> + Complex[-0.05062234940479168, -0.059412074076411546`], { + 24, 28} -> + Complex[-0.0964564876770649, 0.04387994353782962], {24, + 29} -> Complex[-0.06778091820891004, + 0.11263382211139406`], {24, 30} -> + Complex[0.06550651054263391, -0.09165221630004965], {24, + 31} -> Complex[ + 0.07078276202467412, 0.30788890986999096`], {24, 32} -> + Complex[-0.06765757529077783, -0.13038007028245235`], {25, + 26} -> Complex[0.5333747400652373, 0.], {25, 27} -> + Complex[-0.04788255890923551, 0.12484288796949913`], {25, 28} -> Complex[ - 0.19754043867481771`, 0.06710821743420367], {24, 29} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {24, - 30} -> Complex[-0.03694461851812731, \ --0.11992171449363792`], {24, 31} -> - Complex[0.03210691866533716, -0.25866941133955584`], {24, - 32} -> Complex[ - 0.20153478327455962`, -0.091416725802769], {24, 33} -> - Complex[-0.06287334385176857, 0.039875195608224154`], {24, - 34} -> Complex[-0.26044059541670533`, - 0.05145411756901592], {24, 35} -> - Complex[-0.25377338518228143`, -0.22696868263028766`], { - 24, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], { - 25, 26} -> Complex[0.35884454526493437`, 0.], {25, 27} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {25, - 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {25, - 29} -> Complex[-0.07072413917244547, - 0.06080711260518379], {25, 30} -> - Complex[0.017491034151456156`, 0.1422934683362202], {25, - 31} -> Complex[0.04881033618836923, 0.3767537051917446], { - 25, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {25, - 33} -> Complex[-0.07901145315910152, \ --0.12060096224364471`], {25, 34} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {25, - 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {25, - 36} -> Complex[ - 0.12697363466636613`, 0.017287640275502197`], {26, 27} -> - Complex[0.14020706236902425`, -0.157106453123418], {26, - 28} -> Complex[-0.002703366170010074, \ --0.1342165202528226], {26, 29} -> - Complex[0.2158761295291703, -0.079839801475396], {26, 30} -> - Complex[-0.09078438719781487, 0.08387695970470208], {26, - 31} -> Complex[-0.05197448003562596, \ --0.034035129192128775`], {26, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], { - 26, 33} -> - Complex[0.03971739520512007, 0.01279589611612527], {26, - 34} -> Complex[ - 0.07182371169440027, 0.13961968957305576`], {26, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {26, - 36} -> Complex[-0.28325062776683585`, - 0.15967643343543628`], {27, 28} -> - Complex[0.4666612200115955, 0.], {27, 29} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {27, - 30} -> Complex[ - 0.32107941916226146`, -0.09232207202497354], {27, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {27, + 0.28259964162527906`, 0.4055803745838325], {25, 29} -> + Complex[0.1938167265709829, 0.16890318060989123`], {25, + 30} -> Complex[-0.3396867137428587, \ +-0.13646163767421743`], {25, 31} -> + Complex[0.3366775563160397, 0.09992753883776476], {25, + 32} -> Complex[-0.2128973260243628, 0.2803118968875541], { + 26, 27} -> + Complex[0.17363309069570285`, -0.1403167246372976], {26, + 28} -> Complex[-0.14372193892286123`, \ +-0.45619687405618636`], {26, 29} -> + Complex[0.26723944870955263`, -0.18013517883484725`], {26, + 30} -> Complex[ + 0.10734135762637748`, 0.19617830350078105`], {26, 31} -> + Complex[0.040650102227546676`, 0.037686955531505785`], { + 26, 32} -> + Complex[0.26488016647622287`, 0.03177814393460615], {27, + 28} -> Complex[0.7973608946322628, 0.], {27, 29} -> + Complex[0.05442442802981287, 0.14858688449114604`], {27, + 30} -> Complex[-0.2333099993372808, 0.2271710392758403], { + 27, 31} -> + Complex[-0.17155515501526808`, -0.1668433676200188], {27, + 32} -> Complex[-0.09765512477307971, + 0.4821278045577343], {28, 29} -> + Complex[0.19808970731622894`, -0.005640195231622968], {28, + 30} -> Complex[-0.05442442802981293, + 0.14858688449114604`], {28, 31} -> + Complex[-0.21598365653956714`, 0.09400730406176475], {28, 32} -> Complex[ - 0.10082205206266875`, -0.054783259519745345`], {27, 33} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {27, - 34} -> Complex[-0.2841944960267362, - 0.0881056163125139], {27, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {27, - 36} -> Complex[-0.45453234415494154`, \ --0.154590481023119], {28, 29} -> - Complex[0.22196866627101539`, 0.20220472842758744`], {28, - 30} -> Complex[ - 0.020907170696056646`, 0.009826517437731715], {28, 31} -> - Complex[0.18344402773596857`, 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-0.2690120226571733], {3, 8} -> - Complex[-0.25897033958870125`, 0.2062898932256956], {3, 9} -> - Complex[-0.2521578356402413, 0.01333219816254436], {3, 10} -> - Complex[-0.2841944960267362, -0.0881056163125139], {3, 11} -> - Complex[0.07182371169440027, -0.13961968957305576`], {3, 12} -> - Complex[0.15643971909026363`, 0.21034493673282548`], {3, 13} -> - Complex[-0.26044059541670533`, -0.05145411756901592], {3, 14} -> - Complex[-0.08996062722681389, -0.04963088270675587], {3, 15} -> - Complex[0.27720818247658857`, -0.1557462430493763], {3, 16} -> - Complex[0.12372341411859573`, 0.16477324944202285`], {3, 17} -> - Complex[0.09968546178967824, 0.1683352007294286], {3, 18} -> - Complex[0.20846784571655388`, -0.1346840497441242], {3, 19} -> - Complex[0.09968546178967824, 0.1683352007294286], {3, 20} -> - Complex[0.20846784571655388`, -0.1346840497441242], {3, 21} -> - Complex[0.27720818247658857`, -0.1557462430493763], {3, 22} -> - Complex[0.12372341411859573`, 0.16477324944202285`], {3, 23} -> - Complex[-0.26044059541670533`, -0.05145411756901592], {3, 24} -> - Complex[-0.08996062722681389, -0.04963088270675587], {3, 25} -> - Complex[0.07182371169440027, -0.13961968957305576`], {3, 26} -> - Complex[0.15643971909026363`, 0.21034493673282548`], {3, 27} -> - Complex[-0.2521578356402413, 0.01333219816254436], {3, 28} -> - Complex[-0.2841944960267362, -0.0881056163125139], {3, 29} -> - Complex[-0.17507327039387915`, -0.2690120226571733], {3, 30} -> - Complex[-0.25897033958870125`, 0.2062898932256956], {3, 31} -> - Complex[-0.18704231819170578`, 0.30182786908398773`], {3, 32} -> - Complex[-0.13144217108963616`, -0.08045040304054488], {3, 33} -> - Complex[0.10920936073748258`, -0.03308934997069378], {3, 34} -> - Complex[0.503636307020737, 0.], {3, 35} -> - Complex[0.32545613852497657`, -0.10568804847511024`], {3, 36} -> - Complex[0.13232155584348976`, 0.2865643065030182], {4, 5} -> - Complex[-0.06621032034440741, -0.10280421447880453`], {4, 6} -> - Complex[0.02410019796458368, -0.07846271521707039], {4, 7} -> - Complex[-0.07400883501291561, -0.04266786697540802], {4, 8} -> - Complex[0.09671382069915349, 0.31356085339344003`], {4, 9} -> - Complex[-0.09116148563358083, -0.08672925004639812], {4, 10} -> - Complex[0.16634996387262246`, 0.22507239863090805`], {4, 11} -> - Complex[0.03971739520512007, -0.01279589611612527], {4, 12} -> - Complex[-0.07901145315910152, 0.12060096224364471`], {4, 13} -> - Complex[-0.06287334385176857, -0.039875195608224154`], {4, 14} -> - Complex[-0.24146580052003364`, 0.11027596484454191`], {4, 15} -> - Complex[-0.10985803268384983`, -0.010763626429992096`], {4, 16} -> - Complex[0.0896129289093057, -0.08670073786995046], {4, 17} -> - Complex[-0.1355879777222275, -0.08845876363140671], {4, 18} -> - Complex[-0.1606002091580235, -0.04277649306205672], {4, 19} -> - Complex[-0.1355879777222275, -0.08845876363140671], {4, 20} -> - Complex[-0.1606002091580235, -0.04277649306205672], {4, 21} -> - Complex[-0.10985803268384983`, -0.010763626429992096`], {4, 22} -> - Complex[0.0896129289093057, -0.08670073786995046], {4, 23} -> - Complex[-0.06287334385176857, -0.039875195608224154`], {4, 24} -> - Complex[-0.24146580052003364`, 0.11027596484454191`], {4, 25} -> - Complex[0.03971739520512007, -0.01279589611612527], {4, 26} -> - Complex[-0.07901145315910152, 0.12060096224364471`], {4, 27} -> - Complex[-0.09116148563358083, -0.08672925004639812], {4, 28} -> - Complex[0.16634996387262246`, 0.22507239863090805`], {4, 29} -> - Complex[-0.07400883501291561, -0.04266786697540802], {4, 30} -> - Complex[0.09671382069915349, 0.31356085339344003`], {4, 31} -> - Complex[-0.06621032034440741, -0.10280421447880453`], {4, 32} -> - Complex[0.02410019796458368, -0.07846271521707039], {4, 33} -> - Complex[0.49636369297926336`, 0.], {4, 34} -> - Complex[0.10920936073748258`, 0.03308934997069378], {4, 35} -> - Complex[0.35814065944152734`, 0.08293748621875244], {4, 36} -> - Complex[-0.31535699021917946`, -0.2915805668549216], {5, 6} -> - Complex[0.3055029437591038, 0.], {5, 7} -> - Complex[-0.011194174176657017`, 0.18050668434763023`], {5, 8} -> - Complex[-0.08951618372581999, -0.1398945044720049], {5, 9} -> - Complex[0.05541102122851009, 0.15479143125784764`], {5, 10} -> - Complex[0.10082205206266875`, 0.054783259519745345`], {5, 11} -> - Complex[-0.10297491838992004`, 0.24585233281751626`], {5, 12} -> - Complex[-0.06540345886434173, 0.03247283136099954], {5, 13} -> - Complex[0.20153478327455962`, 0.091416725802769], {5, 14} -> - Complex[0.11263046571451424`, -0.15943812713557814`], {5, 15} -> - Complex[0.01768967427913295, 0.07030539787536907], {5, 16} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, 17} -> - Complex[-0.0863909413535702, -0.18155756040588286`], {5, 18} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, 19} -> - Complex[-0.0863909413535702, -0.18155756040588286`], {5, 20} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, 21} -> - Complex[0.01768967427913295, 0.07030539787536907], {5, 22} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, 23} -> - Complex[0.20153478327455962`, 0.091416725802769], {5, 24} -> - Complex[0.11263046571451424`, -0.15943812713557814`], {5, 25} -> - Complex[-0.10297491838992004`, 0.24585233281751626`], {5, 26} -> - Complex[-0.06540345886434173, 0.03247283136099954], {5, 27} -> - Complex[0.05541102122851009, 0.15479143125784764`], {5, 28} -> - Complex[0.10082205206266875`, 0.054783259519745345`], {5, 29} -> - Complex[-0.011194174176657017`, 0.18050668434763023`], {5, 30} -> - Complex[-0.08951618372581999, -0.1398945044720049], {5, 31} -> - Complex[0.05957085045120364, -0.0686364172150267], {5, 32} -> - Complex[0.3055029437591038, 0.], {5, 33} -> - Complex[0.02410019796458368, 0.07846271521707039], {5, 34} -> - Complex[-0.13144217108963616`, 0.08045040304054488], {5, 35} -> - Complex[0.0692138138097684, -0.20164942303248495`], {5, 36} -> - Complex[-0.0838892214676934, -0.35906971113552444`], {6, 7} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, 8} -> - Complex[0.11313471290638971`, 0.0906083646195344], {6, 9} -> - Complex[0.18344402773596857`, 0.12440237009032867`], {6, 10} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {6, 11} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {6, 12} -> - Complex[0.04881033618836923, -0.3767537051917446], {6, 13} -> - Complex[0.03210691866533716, 0.25866941133955584`], {6, 14} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {6, 15} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {6, 16} -> - Complex[0.06561103865616492, -0.04037752804772983], {6, 17} -> - Complex[0.1302477399556314, -0.104114370134477], {6, 18} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, 19} -> - Complex[0.1302477399556314, -0.104114370134477], {6, 20} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, 21} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {6, 22} -> - Complex[0.06561103865616492, -0.04037752804772983], {6, 23} -> - Complex[0.03210691866533716, 0.25866941133955584`], {6, 24} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {6, 25} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {6, 26} -> - Complex[0.04881033618836923, -0.3767537051917446], {6, 27} -> - Complex[0.18344402773596857`, 0.12440237009032867`], {6, 28} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {6, 29} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, 30} -> - Complex[0.11313471290638971`, 0.0906083646195344], {6, 31} -> - Complex[0.5058138015078811, 0.], {6, 32} -> - Complex[0.05957085045120364, 0.0686364172150267], {6, 33} -> - Complex[-0.06621032034440741, 0.10280421447880453`], {6, 34} -> - Complex[-0.18704231819170578`, -0.30182786908398773`], {6, 35} -> - Complex[-0.17262974874231735`, -0.03825515355084523], {6, 36} -> - Complex[0.07140571807962026, -0.3254707548282041], {7, 8} -> - Complex[0.5500421302238756, 0.], {7, 9} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, 10} -> - Complex[0.32107941916226146`, 0.09232207202497354], {7, 11} -> - Complex[-0.09078438719781487, -0.08387695970470208], {7, 12} -> - Complex[0.017491034151456156`, -0.1422934683362202], {7, 13} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {7, 14} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {7, 15} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, 16} -> - Complex[-0.07025866437087314, -0.18394307455842968`], {7, 17} -> - Complex[-0.06511122587857304, -0.01569343622580683], {7, 18} -> - Complex[-0.3429240772478055, 0.12113458402956634`], {7, 19} -> - Complex[-0.06511122587857304, -0.01569343622580683], {7, 20} -> - Complex[-0.3429240772478055, 0.12113458402956634`], {7, 21} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, 22} -> - Complex[-0.07025866437087314, -0.18394307455842968`], {7, 23} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {7, 24} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {7, 25} -> - Complex[-0.09078438719781487, -0.08387695970470208], {7, 26} -> - Complex[0.017491034151456156`, -0.1422934683362202], {7, 27} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, 28} -> - Complex[0.32107941916226146`, 0.09232207202497354], {7, 29} -> - Complex[-0.015725352039344952`, 0.1534965717731505], {7, 30} -> - Complex[0.5500421302238756, 0.], {7, 31} -> - Complex[0.11313471290638971`, -0.0906083646195344], {7, 32} -> - Complex[-0.08951618372581999, 0.1398945044720049], {7, 33} -> - Complex[0.09671382069915349, -0.31356085339344003`], {7, 34} -> - Complex[-0.25897033958870125`, -0.2062898932256956], {7, 35} -> - Complex[-0.006051982269297387, 0.008414767951100507], {7, 36} -> - Complex[-0.21414311351504042`, -0.06573453711443833], {8, 9} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {8, 10} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {8, 11} -> - Complex[0.2158761295291703, 0.079839801475396], {8, 12} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, 13} -> - Complex[0.10074068312316217`, -0.24982130549270182`], {8, 14} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, 15} -> - Complex[-0.02849651545902821, 0.13038883546342855`], {8, 16} -> - Complex[-0.218113151712259, 0.025091517498334166`], {8, 17} -> - Complex[-0.19090563198557167`, 0.11085568682814102`], {8, 18} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, 19} -> - Complex[-0.19090563198557167`, 0.11085568682814102`], {8, 20} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, 21} -> - Complex[-0.02849651545902821, 0.13038883546342855`], {8, 22} -> - Complex[-0.218113151712259, 0.025091517498334166`], {8, 23} -> - Complex[0.10074068312316217`, -0.24982130549270182`], {8, 24} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, 25} -> - Complex[0.2158761295291703, 0.079839801475396], {8, 26} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, 27} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {8, 28} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {8, 29} -> - Complex[0.3480244926609176, 0.], {8, 30} -> - Complex[-0.015725352039344952`, -0.1534965717731505], {8, 31} -> - Complex[-0.06282282822605365, -0.17443733981734005`], {8, 32} -> - Complex[-0.011194174176657017`, -0.18050668434763023`], {8, 33} -> - Complex[-0.07400883501291561, 0.04266786697540802], {8, 34} -> - Complex[-0.17507327039387915`, 0.2690120226571733], {8, 35} -> - Complex[-0.33111266457208555`, 0.2799821244558118], {8, 36} -> - Complex[-0.32833718354949015`, 0.08613557464795678], {9, 10} -> - Complex[0.4666612200115955, 0.], {9, 11} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, 12} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, 13} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, 14} -> - Complex[0.04387227616028566, 0.169253767952832], {9, 15} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {9, 16} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, 17} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, 18} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {9, 19} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, 20} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {9, 21} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {9, 22} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, 23} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, 24} -> - Complex[0.04387227616028566, 0.169253767952832], {9, 25} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, 26} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, 27} -> - Complex[0.10214442350629199`, -0.026260413784740505`], {9, 28} -> - Complex[0.4666612200115955, 0.], {9, 29} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {9, 30} -> - Complex[0.32107941916226146`, -0.09232207202497354], {9, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {9, 32} -> - Complex[0.10082205206266875`, -0.054783259519745345`], {9, 33} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {9, 34} -> - Complex[-0.2841944960267362, 0.0881056163125139], {9, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {9, 36} -> - Complex[-0.45453234415494154`, -0.154590481023119], {10, 11} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, 12} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {10, 13} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, 14} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, 15} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, 16} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, 17} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, 18} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, 19} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, 20} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, 21} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, 22} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, 23} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, 24} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, 25} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, 26} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {10, 27} -> - Complex[0.33314595779251727`, 0.], {10, 28} -> - Complex[0.10214442350629199`, 0.026260413784740505`], {10, 29} -> - Complex[0.22196866627101539`, 0.20220472842758744`], {10, 30} -> - Complex[0.020907170696056646`, 0.009826517437731715], {10, 31} -> - Complex[0.18344402773596857`, -0.12440237009032867`], {10, 32} -> - Complex[0.05541102122851009, -0.15479143125784764`], {10, 33} -> - Complex[-0.09116148563358083, 0.08672925004639812], {10, 34} -> - Complex[-0.2521578356402413, -0.01333219816254436], {10, 35} -> - Complex[-0.5009225822231967, 0.03036622844279574], {10, 36} -> - Complex[-0.1821537065194496, -0.1809373735116714], {11, 12} -> - Complex[0.35884454526493437`, 0.], {11, 13} -> - Complex[-0.1376685276414912, -0.017279120496164], {11, 14} -> - Complex[-0.005254583355195047, -0.07911629825938535], {11, 15} -> - Complex[0.09504874694484183, -0.252921972711526], {11, 16} -> - Complex[-0.016434880239505067`, -0.02799549139813756], {11, 17} -> - Complex[-0.004104217599466588, 0.09920939692115077], {11, 18} -> - Complex[0.08241113354082491, -0.24960895170610842`], {11, 19} -> - Complex[-0.004104217599466588, 0.09920939692115077], {11, 20} -> - Complex[0.08241113354082491, -0.24960895170610842`], {11, 21} -> - Complex[0.09504874694484183, -0.252921972711526], {11, 22} -> - Complex[-0.016434880239505067`, -0.02799549139813756], {11, 23} -> - Complex[-0.1376685276414912, -0.017279120496164], {11, 24} -> - Complex[-0.005254583355195047, -0.07911629825938535], {11, 25} -> - Complex[0.03589005743520234, 0.010244248183710654`], {11, 26} -> - Complex[0.35884454526493437`, 0.], {11, 27} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {11, 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {11, 29} -> - Complex[-0.07072413917244547, 0.06080711260518379], {11, 30} -> - Complex[0.017491034151456156`, 0.1422934683362202], {11, 31} -> - Complex[0.04881033618836923, 0.3767537051917446], {11, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {11, 33} -> - Complex[-0.07901145315910152, -0.12060096224364471`], {11, 34} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {11, 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {11, 36} -> - Complex[0.12697363466636613`, 0.017287640275502197`], {12, 13} -> - Complex[-0.017700618374932788`, -0.229189990199907], {12, 14} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {12, 15} -> - Complex[0.029111053747052022`, -0.03092252970487717], {12, 16} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {12, 17} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {12, 18} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {12, 19} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {12, 20} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {12, 21} -> - Complex[0.029111053747052022`, -0.03092252970487717], {12, 22} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {12, 23} -> - Complex[-0.017700618374932788`, -0.229189990199907], {12, 24} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {12, 25} -> - Complex[0.2638704815566899, 0.], {12, 26} -> - Complex[0.03589005743520234, -0.010244248183710654`], {12, 27} -> - Complex[0.14020706236902425`, -0.157106453123418], {12, 28} -> - Complex[-0.002703366170010074, -0.1342165202528226], {12, 29} -> - Complex[0.2158761295291703, -0.079839801475396], {12, 30} -> - Complex[-0.09078438719781487, 0.08387695970470208], {12, 31} -> - Complex[-0.05197448003562596, -0.034035129192128775`], {12, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], {12, 33} -> - Complex[0.03971739520512007, 0.01279589611612527], {12, 34} -> - Complex[0.07182371169440027, 0.13961968957305576`], {12, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {12, 36} -> - Complex[-0.28325062776683585`, 0.15967643343543628`], {13, 14} -> - Complex[0.3248309079027546, 0.], {13, 15} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, 16} -> - Complex[-0.055024457915968744`, -0.00875520102328074], {13, 17} -> - Complex[0.039373147369999854`, -0.022673347542931065`], {13, 18} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, 19} -> - Complex[0.039373147369999854`, -0.022673347542931065`], {13, 20} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, 21} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, 22} -> - Complex[-0.055024457915968744`, -0.00875520102328074], {13, 23} -> - Complex[0.06998304089724083, 0.09262495833114717], {13, 24} -> - Complex[0.3248309079027546, 0.], {13, 25} -> - Complex[-0.18045658269343973`, 0.06407563305713601], {13, 26} -> - Complex[-0.005254583355195047, 0.07911629825938535], {13, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {13, 28} -> - Complex[0.04387227616028566, -0.169253767952832], {13, 29} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {13, 30} -> - Complex[0.015573345706232422`, -0.33611710368003506`], {13, 31} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {13, 32} -> - Complex[0.11263046571451424`, 0.15943812713557814`], {13, 33} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], {13, 34} -> - Complex[-0.08996062722681389, 0.04963088270675587], {13, 35} -> - Complex[0.054818062753627404`, -0.18407880112585107`], {13, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {14, 15} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], {14, 16} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, 17} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], {14, 18} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, 19} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], {14, 20} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, 21} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], {14, 22} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, 23} -> - Complex[0.35279363941541053`, 0.], {14, 24} -> - Complex[0.06998304089724083, -0.09262495833114717], {14, 25} -> - Complex[-0.017700618374932788`, 0.229189990199907], {14, 26} -> - Complex[-0.1376685276414912, 0.017279120496164], {14, 27} -> - Complex[0.19742335371429923`, 0.09763016245015396], {14, 28} -> - Complex[0.19754043867481771`, 0.06710821743420367], {14, 29} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {14, 30} -> - Complex[-0.03694461851812731, -0.11992171449363792`], {14, 31} -> - Complex[0.03210691866533716, -0.25866941133955584`], {14, 32} -> - Complex[0.20153478327455962`, -0.091416725802769], {14, 33} -> - Complex[-0.06287334385176857, 0.039875195608224154`], {14, 34} -> - Complex[-0.26044059541670533`, 0.05145411756901592], {14, 35} -> - Complex[-0.25377338518228143`, -0.22696868263028766`], {14, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], {15, 16} -> - Complex[0.18939927318289235`, 0.], {15, 17} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, 18} -> - Complex[0.012115526439909248`, -0.07586465949937707], {15, 19} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, 20} -> - Complex[0.012115526439909248`, -0.07586465949937707], {15, 21} -> - Complex[0.0018678498053481644`, -0.11355320674819902`], {15, 22} -> - Complex[0.18939927318289235`, 0.], {15, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {15, 24} -> - Complex[-0.055024457915968744`, 0.00875520102328074], {15, 25} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {15, 26} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {15, 27} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {15, 28} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {15, 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {15, 30} -> - Complex[-0.07025866437087314, 0.18394307455842968`], {15, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {15, 32} -> - Complex[-0.00498052152715275, 0.08042658142468531], {15, 33} -> - Complex[0.0896129289093057, 0.08670073786995046], {15, 34} -> - Complex[0.12372341411859573`, -0.16477324944202285`], {15, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {15, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {16, 17} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, 18} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, 19} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, 20} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, 21} -> - Complex[0.349552824256183, 0.], {16, 22} -> - Complex[0.0018678498053481644`, 0.11355320674819902`], {16, 23} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], {16, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {16, 25} -> - Complex[0.029111053747052022`, 0.03092252970487717], {16, 26} -> - Complex[0.09504874694484183, 0.252921972711526], {16, 27} -> - Complex[-0.13187039110424337`, 0.05577367679001426], {16, 28} -> - Complex[-0.16219964087949312`, -0.23052958058187878`], {16, 29} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {16, 30} -> - Complex[-0.3170629158392618, -0.07863950467973177], {16, 31} -> - Complex[-0.27597397639459753`, 0.2023899803882464], {16, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {16, 33} -> - Complex[-0.10985803268384983`, 0.010763626429992096`], {16, 34} -> - Complex[0.27720818247658857`, 0.1557462430493763], {16, 35} -> - Complex[0.07950629072406969, -0.15112987613524487`], {16, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {17, 18} -> - Complex[0.3905441579974116, 0.], {17, 19} -> - Complex[0.007773728117029734, 0.02423539675981027], {17, 20} -> - Complex[0.3905441579974116, 0.], {17, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {17, 22} -> - Complex[0.012115526439909248`, 0.07586465949937707], {17, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {17, 24} -> - Complex[0.17469085565385242`, -0.20815325028445178`], {17, 25} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {17, 26} -> - Complex[0.08241113354082491, 0.24960895170610842`], {17, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {17, 28} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {17, 29} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {17, 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {17, 31} -> - Complex[-0.24139750211906025`, 0.17856311543581216`], {17, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {17, 33} -> - Complex[-0.1606002091580235, 0.04277649306205672], {17, 34} -> - Complex[0.20846784571655388`, 0.1346840497441242], {17, 35} -> - Complex[0.020304980203947276`, -0.2448019195395177], {17, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {18, 19} -> - Complex[0.27470470789916873`, 0.], {18, 20} -> - Complex[0.007773728117029734, -0.02423539675981027], {18, 21} -> - Complex[0.008173587051180226, -0.09795082074318642], {18, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {18, 23} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {18, 24} -> - Complex[0.039373147369999854`, 0.022673347542931065`], {18, 25} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], {18, 26} -> - Complex[-0.004104217599466588, -0.09920939692115077], {18, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {18, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {18, 29} -> - Complex[-0.19090563198557167`, -0.11085568682814102`], {18, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {18, 31} -> - Complex[0.1302477399556314, 0.104114370134477], {18, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {18, 33} -> - Complex[-0.1355879777222275, 0.08845876363140671], {18, 34} -> - Complex[0.09968546178967824, -0.1683352007294286], {18, 35} -> - Complex[0.13747177730338656`, 0.016173756793363754`], {18, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {19, 20} -> - Complex[0.3905441579974116, 0.], {19, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {19, 22} -> - Complex[0.012115526439909248`, 0.07586465949937707], {19, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {19, 24} -> - Complex[0.17469085565385242`, -0.20815325028445178`], {19, 25} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {19, 26} -> - Complex[0.08241113354082491, 0.24960895170610842`], {19, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {19, 28} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {19, 29} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {19, 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {19, 31} -> - Complex[-0.24139750211906025`, 0.17856311543581216`], {19, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {19, 33} -> - Complex[-0.1606002091580235, 0.04277649306205672], {19, 34} -> - Complex[0.20846784571655388`, 0.1346840497441242], {19, 35} -> - Complex[0.020304980203947276`, -0.2448019195395177], {19, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {20, 21} -> - Complex[0.008173587051180226, -0.09795082074318642], {20, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {20, 23} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {20, 24} -> - Complex[0.039373147369999854`, 0.022673347542931065`], {20, 25} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], {20, 26} -> - Complex[-0.004104217599466588, -0.09920939692115077], {20, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {20, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {20, 29} -> - Complex[-0.19090563198557167`, -0.11085568682814102`], {20, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {20, 31} -> - Complex[0.1302477399556314, 0.104114370134477], {20, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {20, 33} -> - Complex[-0.1355879777222275, 0.08845876363140671], {20, 34} -> - Complex[0.09968546178967824, -0.1683352007294286], {20, 35} -> - Complex[0.13747177730338656`, 0.016173756793363754`], {20, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {21, 22} -> - Complex[0.18939927318289235`, 0.], {21, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {21, 24} -> - Complex[-0.055024457915968744`, 0.00875520102328074], {21, 25} -> - 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"[", + DynamicModuleBox[{Typeset`open$$ = False, Typeset`embedState$$ = + "Ready"}, + TemplateBox[{ + PaneSelectorBox[{False -> GridBox[{{ + PaneBox[ + ButtonBox[ + DynamicBox[ + FEPrivate`FrontEndResource[ + "FEBitmaps", "SummaryBoxOpener"]], + ButtonFunction :> (Typeset`open$$ = True), Appearance -> + None, BaseStyle -> {}, Evaluator -> Automatic, Method -> + "Preemptive"], Alignment -> {Center, Center}, ImageSize -> + Dynamic[{ + Automatic, + 3.5 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[ + Magnification])}]], + GridBox[{{ + RowBox[{ + TagBox["\"Bare modes: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ RowBox[{"{", RowBox[{ InterpretationBox[ @@ -15320,47 +15996,48 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc TemplateBox[{",", "\",\"", "3"}, "RowWithSeparators"]], $CellContext`c[3]], ",", InterpretationBox[ - SubscriptBox["c", - TemplateBox[{",", "\",\"", "4"}, "RowWithSeparators"]], - $CellContext`c[4]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox[ - "\"Initial occupation: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + SubscriptBox["c", + TemplateBox[{",", "\",\"", "4"}, "RowWithSeparators"]], + $CellContext`c[4]]}], "}"}], "SummaryItem"]}]}, { + RowBox[{ + TagBox[ + "\"Initial occupation: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ RowBox[{"{", RowBox[{"1", ",", "0", ",", "1", ",", "0"}], "}"}], "SummaryItem"]}]}}, - GridBoxAlignment -> { - "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, AutoDelete -> - False, GridBoxItemSize -> { - "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, - GridBoxSpacings -> { - "Columns" -> {{2}}, "Rows" -> {{Automatic}}}, - BaseStyle -> { - ShowStringCharacters -> False, NumberMarks -> False, - PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, - GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, - AutoDelete -> False, - GridBoxItemSize -> { - "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, - BaselinePosition -> {1, 1}], True -> 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"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, + BaselinePosition -> {1, 1}], True -> GridBox[{{ + PaneBox[ + ButtonBox[ + DynamicBox[ + FEPrivate`FrontEndResource[ + "FEBitmaps", "SummaryBoxCloser"]], + ButtonFunction :> (Typeset`open$$ = False), Appearance -> + None, BaseStyle -> {}, Evaluator -> Automatic, Method -> + "Preemptive"], Alignment -> {Center, Center}, ImageSize -> + Dynamic[{ + Automatic, + 3.5 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[ + Magnification])}]], + GridBox[{{ + RowBox[{ + TagBox["\"Bare modes: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ RowBox[{"{", RowBox[{ InterpretationBox[ @@ -15379,18 +16056,18 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc SubscriptBox["c", TemplateBox[{",", "\",\"", "4"}, "RowWithSeparators"]], $CellContext`c[4]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox[ - "\"Initial occupation: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + RowBox[{ + TagBox[ + "\"Initial occupation: 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InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "4", "0"}, + TemplateBox[{",", "\",\"", "3", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[4, 4, 0]], ",", + $CellContext`c[3, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "4", "1"}, + TemplateBox[{",", "\",\"", "4", "3", "1"}, "RowWithSeparators"]], - $CellContext`c[4, 4, 1]], ",", + $CellContext`c[4, 3, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "2", "1"}, + TemplateBox[{",", "\",\"", "4", "3", "0"}, "RowWithSeparators"]], - $CellContext`c[4, 2, 1]], ",", + $CellContext`c[4, 3, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "2", "0"}, + TemplateBox[{",", "\",\"", "5", "3", "1"}, "RowWithSeparators"]], - $CellContext`c[4, 2, 0]], ",", + $CellContext`c[5, 3, 1]], ",", InterpretationBox[ SubscriptBox["c", @@ -15486,117 +16145,110 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "3", "1"}, - "RowWithSeparators"]], - $CellContext`c[5, 3, 1]], ",", - InterpretationBox[ - SubscriptBox["c", - - TemplateBox[{",", "\",\"", "5", "2", "0"}, + TemplateBox[{",", "\",\"", "6", "4", "0"}, "RowWithSeparators"]], - $CellContext`c[5, 2, 0]], ",", + $CellContext`c[6, 4, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "2", "1"}, + TemplateBox[{",", "\",\"", "6", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[5, 2, 1]], ",", + $CellContext`c[6, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "2", "0"}, + TemplateBox[{",", "\",\"", "6", "2", "0"}, "RowWithSeparators"]], - $CellContext`c[5, 2, 0]], ",", + $CellContext`c[6, 2, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "2", "1"}, + TemplateBox[{",", "\",\"", "6", "2", "1"}, "RowWithSeparators"]], - $CellContext`c[5, 2, 1]], ",", + $CellContext`c[6, 2, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "3", "0"}, + TemplateBox[{",", "\",\"", "6", "2", "0"}, "RowWithSeparators"]], - $CellContext`c[5, 3, 0]], ",", + $CellContext`c[6, 2, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "5", "3", "1"}, + TemplateBox[{",", "\",\"", "6", "2", "1"}, "RowWithSeparators"]], - $CellContext`c[5, 3, 1]], ",", + $CellContext`c[6, 2, 1]], ",", InterpretationBox[ SubscriptBox["c", - - TemplateBox[{",", "\",\"", "4", "2", "1"}, + TemplateBox[{",", "\",\"", "6", "4", "0"}, "RowWithSeparators"]], - $CellContext`c[4, 2, 1]], ",", + $CellContext`c[6, 4, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "2", "0"}, + TemplateBox[{",", "\",\"", "6", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[4, 2, 0]], ",", + $CellContext`c[6, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "4", "4", "0"}, + TemplateBox[{",", "\",\"", "5", "3", "1"}, 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TemplateBox[{",", "\",\"", "3", "3", "0"}, + TemplateBox[{",", "\",\"", "3", "4", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 3, 0]], ",", + $CellContext`c[3, 4, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "4", "0"}, + TemplateBox[{",", "\",\"", "2", "1", "0"}, "RowWithSeparators"]], - $CellContext`c[3, 4, 0]], ",", + $CellContext`c[2, 1, 0]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "3", "4", "1"}, + TemplateBox[{",", "\",\"", "2", "1", "1"}, "RowWithSeparators"]], - $CellContext`c[3, 4, 1]], ",", + $CellContext`c[2, 1, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "2", "1", "1"}, + TemplateBox[{",", "\",\"", "2", "2", "1"}, "RowWithSeparators"]], - $CellContext`c[2, 1, 1]], ",", + $CellContext`c[2, 2, 1]], ",", InterpretationBox[ SubscriptBox["c", - TemplateBox[{",", "\",\"", "2", "1", "0"}, + TemplateBox[{",", "\",\"", "2", "2", "0"}, "RowWithSeparators"]], - $CellContext`c[2, 1, 0]], ",", + $CellContext`c[2, 2, 0]], ",", InterpretationBox[ SubscriptBox["c", @@ -15609,10 +16261,10 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc TemplateBox[{",", "\",\"", "1", "3", "1"}, "RowWithSeparators"]], $CellContext`c[1, 3, 1]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox["\"Transformations: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + RowBox[{ + TagBox["\"Transformations: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ InterpretationBox[ RowBox[{ TagBox["NambuTransforms", "SummaryHead"], "[", @@ -15714,8 +16366,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmTKr6z 28B155YX9jfcl6+rmfbW/mRE7r/4r+9HzSEgDgDactH8 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -15723,9 +16375,9 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -15775,8 +16427,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmTKr6z 28B155YX9jfcl6+rmfbW/mRE7r/4r+9HzSEgDgDactH8 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -15864,8 +16516,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Column"], "SummaryItem"]}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, - AutoDelete -> False, GridBoxItemSize -> { - "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, + AutoDelete -> False, GridBoxItemSize -> {"Columns" -> {{ + Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> {"Columns" -> {{2}}, "Rows" -> {{ Automatic}}}, BaseStyle -> {ShowStringCharacters -> False, NumberMarks -> False, PrintPrecision -> 3, @@ -15902,8 +16554,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmPitNH HACo2sx4 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -15911,9 +16563,9 @@ HACo2sx4 GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -15963,8 +16615,8 @@ HACo2sx4 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmPitNH HACo2sx4 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -15972,9 +16624,9 @@ HACo2sx4 GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -16072,13 +16724,13 @@ HACo2sx4 PaneBox[ ButtonBox[ DynamicBox[ - FEPrivate`FrontEndResource[ - "FEBitmaps", "SummaryBoxCloser"]], ButtonFunction :> ( - Typeset`open$$ = False), Appearance -> None, - BaseStyle -> {}, Evaluator -> Automatic, Method -> - "Preemptive"], Alignment -> {Center, Center}, ImageSize -> - Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}]], + FEPrivate`FrontEndResource["FEBitmaps", + "SummaryBoxCloser"]], ButtonFunction :> (Typeset`open$$ = + False), Appearance -> None, BaseStyle -> {}, Evaluator -> + Automatic, Method -> "Preemptive"], Alignment -> { + Center, Center}, ImageSize -> Dynamic[{Automatic, + 3.5 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[ + Magnification])}]], GridBox[{{ RowBox[{ TagBox["\"Type: \"", "SummaryItemAnnotation"], @@ -16098,71 +16750,66 @@ HACo2sx4 RowBox[{"(", "\[NoBreak]", GridBox[{{ RowBox[{ - RowBox[{"0.32545613852497657`", "\[VeryThinSpace]"}], "-", - RowBox[{"0.10568804847511024`", " ", "\[ImaginaryI]"}]}], - + RowBox[{"-", 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25} -> Complex[ - 0.12697363466636613`, -0.017287640275502197`], {1, 26} -> - Complex[-0.28325062776683585`, -0.15967643343543628`], {1, - 27} -> Complex[-0.1821537065194496, - 0.1809373735116714], {1, 28} -> - Complex[-0.45453234415494154`, 0.154590481023119], {1, - 29} -> Complex[-0.21414311351504042`, - 0.06573453711443833], {1, 30} -> - Complex[-0.32833718354949015`, -0.08613557464795678], {1, - 31} -> Complex[-0.0838892214676934, - 0.35906971113552444`], {1, 32} -> - Complex[0.07140571807962026, 0.3254707548282041], {1, 33} -> - Complex[0.13232155584348976`, -0.2865643065030182], {1, - 34} -> Complex[-0.31535699021917946`, - 0.2915805668549216], {1, 36} -> 1, {2, 3} -> - Complex[0.32545613852497657`, 0.10568804847511024`], {2, - 4} -> Complex[ - 0.35814065944152734`, -0.08293748621875244], {2, 5} -> - Complex[0.0692138138097684, 0.20164942303248495`], {2, 6} -> - Complex[-0.17262974874231735`, 0.03825515355084523], {2, - 7} -> Complex[-0.006051982269297387, \ --0.008414767951100507], {2, 8} -> - Complex[-0.33111266457208555`, -0.2799821244558118], {2, - 9} -> Complex[-0.5009225822231967, -0.03036622844279574], \ -{2, 10} -> Complex[-0.05909814548140835, 0.07667698906457968], {2, 11} -> - Complex[-0.17746045053315712`, 0.2097207706920651], {2, - 12} -> Complex[-0.2191443754011676, \ --0.15579730043133583`], {2, 13} -> - Complex[-0.25377338518228143`, 0.22696868263028766`], {2, + 0.012301908189476976`, -0.29819031736230395`], {3, 22} -> + Complex[-0.0832461030605116, -0.0007900461969849934], {3, + 23} -> Complex[ + 0.10029581103120666`, 0.01981792746027898], {3, 24} -> + Complex[0.06550651054263391, 0.09165221630004965], {3, + 25} -> Complex[-0.3396867137428587, + 0.13646163767421743`], {3, 26} -> + Complex[0.10734135762637748`, -0.19617830350078105`], {3, + 27} -> Complex[-0.05442442802981293, \ +-0.14858688449114604`], {3, 28} -> + Complex[-0.2333099993372808, -0.2271710392758403], {3, + 29} -> Complex[-0.26639286607489965`, \ +-0.0014004115937454042`], {3, 30} -> Complex[0.4100313928008735, 0.], {3, 31} -> + Complex[-0.13729046784846416`, 0.16136872833117036`], {3, + 32} -> Complex[-0.09661499346651439, \ +-0.23954012515618292`], {4, 5} -> + Complex[0.19808970731622894`, 0.005640195231622968], {4, + 6} -> Complex[ + 0.05442442802981287, -0.14858688449114604`], {4, 7} -> + Complex[0.1938167265709829, -0.16890318060989123`], {4, + 8} -> Complex[ + 0.26723944870955263`, 0.18013517883484725`], {4, 9} -> + Complex[0.11017975259513822`, 0.24891234255610362`], {4, + 10} -> Complex[-0.06778091820891004, \ +-0.11263382211139406`], {4, 11} -> + Complex[0.09392733334800707, 0.23700943627758006`], {4, + 12} -> Complex[ + 0.10046002901967245`, -0.19478861449336152`], {4, 13} -> + Complex[-0.14920571596040955`, 0.004668871253339259], {4, 14} -> Complex[ - 0.054818062753627404`, 0.18407880112585107`], {2, 15} -> - Complex[0.1862561519544158, 0.11528023790296092`], {2, + 0.27858075604955634`, 0.030371398383274933`], {4, 15} -> + Complex[0.0843470356919863, 0.21628437576571974`], {4, 16} -> Complex[ - 0.07950629072406969, 0.15112987613524487`], {2, 17} -> - Complex[0.020304980203947276`, 0.2448019195395177], {2, + 0.1559809531435565, -0.03223196939623798], {4, 17} -> + Complex[0.0843470356919863, 0.21628437576571974`], {4, 18} -> Complex[ - 0.13747177730338656`, -0.016173756793363754`], {2, 19} -> - Complex[0.020304980203947276`, 0.2448019195395177], {2, + 0.1559809531435565, -0.03223196939623798], {4, 19} -> + Complex[-0.14920571596040955`, 0.004668871253339259], {4, 20} -> Complex[ - 0.13747177730338656`, -0.016173756793363754`], {2, 21} -> - Complex[0.1862561519544158, 0.11528023790296092`], {2, + 0.27858075604955634`, 0.030371398383274933`], {4, 21} -> + Complex[0.09392733334800707, 0.23700943627758006`], {4, 22} -> Complex[ - 0.07950629072406969, 0.15112987613524487`], {2, 23} -> - Complex[-0.25377338518228143`, 0.22696868263028766`], {2, - 24} -> Complex[ - 0.054818062753627404`, 0.18407880112585107`], {2, 25} -> - Complex[-0.17746045053315712`, 0.2097207706920651], {2, - 26} -> Complex[-0.2191443754011676, \ --0.15579730043133583`], {2, 27} -> - Complex[-0.5009225822231967, -0.03036622844279574], {2, - 28} -> Complex[-0.05909814548140835, - 0.07667698906457968], {2, 29} -> - Complex[-0.006051982269297387, -0.008414767951100507], {2, - 30} -> - Complex[-0.33111266457208555`, -0.2799821244558118], {2, - 31} -> Complex[ - 0.0692138138097684, 0.20164942303248495`], {2, 32} -> - Complex[-0.17262974874231735`, 0.03825515355084523], {2, - 33} -> Complex[ - 0.32545613852497657`, 0.10568804847511024`], {2, 34} -> - Complex[0.35814065944152734`, -0.08293748621875244], {2, - 35} -> 1, {3, 4} -> - Complex[0.49636369297926336`, 0.], {3, 5} -> - Complex[0.02410019796458368, -0.07846271521707039], {3, - 6} -> Complex[-0.06621032034440741, \ --0.10280421447880453`], {3, 7} -> - Complex[0.09671382069915349, 0.31356085339344003`], {3, - 8} -> Complex[-0.07400883501291561, \ --0.04266786697540802], {3, 9} -> - Complex[-0.09116148563358083, -0.08672925004639812], {3, - 10} -> Complex[ - 0.16634996387262246`, 0.22507239863090805`], {3, 11} -> - Complex[-0.07901145315910152, 0.12060096224364471`], {3, - 12} -> Complex[ - 0.03971739520512007, -0.01279589611612527], {3, 13} -> - Complex[-0.06287334385176857, -0.039875195608224154`], {3, - 14} -> Complex[-0.24146580052003364`, - 0.11027596484454191`], {3, 15} -> - Complex[0.0896129289093057, -0.08670073786995046], {3, - 16} -> Complex[-0.10985803268384983`, \ --0.010763626429992096`], {3, 17} -> - Complex[-0.1606002091580235, -0.04277649306205672], {3, - 18} -> Complex[-0.1355879777222275, \ --0.08845876363140671], {3, 19} -> - Complex[-0.1606002091580235, -0.04277649306205672], {3, - 20} -> Complex[-0.1355879777222275, \ --0.08845876363140671], {3, 21} -> - Complex[0.0896129289093057, -0.08670073786995046], {3, - 22} -> Complex[-0.10985803268384983`, \ --0.010763626429992096`], {3, 23} -> - Complex[-0.06287334385176857, -0.039875195608224154`], {3, - 24} -> Complex[-0.24146580052003364`, - 0.11027596484454191`], {3, 25} -> - Complex[-0.07901145315910152, 0.12060096224364471`], {3, + 0.10046002901967245`, -0.19478861449336152`], {4, 23} -> + Complex[0.11017975259513822`, 0.24891234255610362`], {4, + 24} -> Complex[-0.06778091820891004, \ +-0.11263382211139406`], {4, 25} -> + Complex[0.1938167265709829, -0.16890318060989123`], {4, 26} -> Complex[ - 0.03971739520512007, -0.01279589611612527], {3, 27} -> - Complex[-0.09116148563358083, -0.08672925004639812], {3, + 0.26723944870955263`, 0.18013517883484725`], {4, 27} -> + Complex[0.19808970731622894`, 0.005640195231622968], {4, 28} -> Complex[ - 0.16634996387262246`, 0.22507239863090805`], {3, 29} -> - Complex[0.09671382069915349, 0.31356085339344003`], {3, - 30} -> Complex[-0.07400883501291561, \ --0.04266786697540802], {3, 31} -> - Complex[0.02410019796458368, -0.07846271521707039], {3, - 32} -> Complex[-0.06621032034440741, \ --0.10280421447880453`], {3, 33} -> - Complex[0.10920936073748258`, 0.03308934997069378], {3, - 34} -> Complex[0.49636369297926336`, 0.], {3, 35} -> - Complex[0.35814065944152734`, 0.08293748621875244], {3, - 36} -> Complex[-0.31535699021917946`, \ --0.2915805668549216], {4, 5} -> - Complex[-0.13144217108963616`, -0.08045040304054488], {4, - 6} -> Complex[-0.18704231819170578`, - 0.30182786908398773`], {4, 7} -> - Complex[-0.25897033958870125`, 0.2062898932256956], {4, - 8} -> Complex[-0.17507327039387915`, \ --0.2690120226571733], {4, 9} -> - Complex[-0.2521578356402413, 0.01333219816254436], {4, - 10} -> Complex[-0.2841944960267362, -0.0881056163125139], \ -{4, 11} -> Complex[0.15643971909026363`, 0.21034493673282548`], {4, 12} -> - Complex[0.07182371169440027, -0.13961968957305576`], {4, - 13} -> Complex[-0.26044059541670533`, \ --0.05145411756901592], {4, 14} -> - Complex[-0.08996062722681389, -0.04963088270675587], {4, - 15} -> Complex[ - 0.12372341411859573`, 0.16477324944202285`], {4, 16} -> - Complex[0.27720818247658857`, -0.1557462430493763], {4, - 17} -> Complex[ - 0.20846784571655388`, -0.1346840497441242], {4, 18} -> - Complex[0.09968546178967824, 0.1683352007294286], {4, 19} -> - Complex[0.20846784571655388`, -0.1346840497441242], {4, - 20} -> Complex[0.09968546178967824, 0.1683352007294286], { - 4, 21} -> Complex[ - 0.12372341411859573`, 0.16477324944202285`], {4, 22} -> - Complex[0.27720818247658857`, -0.1557462430493763], {4, - 23} -> Complex[-0.26044059541670533`, \ --0.05145411756901592], {4, 24} -> - Complex[-0.08996062722681389, -0.04963088270675587], {4, - 25} -> Complex[ - 0.15643971909026363`, 0.21034493673282548`], {4, 26} -> - Complex[0.07182371169440027, -0.13961968957305576`], {4, - 27} -> Complex[-0.2521578356402413, - 0.01333219816254436], {4, 28} -> - Complex[-0.2841944960267362, -0.0881056163125139], {4, - 29} -> Complex[-0.25897033958870125`, - 0.2062898932256956], {4, 30} -> - Complex[-0.17507327039387915`, -0.2690120226571733], {4, - 31} -> Complex[-0.13144217108963616`, \ --0.08045040304054488], {4, 32} -> - Complex[-0.18704231819170578`, 0.30182786908398773`], {4, - 33} -> Complex[0.503636307020737, 0.], {4, 34} -> - Complex[0.10920936073748258`, -0.03308934997069378], {4, - 35} -> Complex[ - 0.32545613852497657`, -0.10568804847511024`], {4, 36} -> - Complex[0.13232155584348976`, 0.2865643065030182], {5, 6} -> - Complex[0.5058138015078811, 0.], {5, 7} -> - Complex[0.11313471290638971`, 0.0906083646195344], {5, 8} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {5, - 9} -> Complex[ - 0.18344402773596857`, 0.12440237009032867`], {5, 10} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {5, + 0.05442442802981287, -0.14858688449114604`], {4, 29} -> + Complex[0.5899686071991268, 0.], {4, 30} -> + Complex[-0.26639286607489965`, 0.0014004115937454042`], { + 4, 31} -> Complex[ + 0.26087816486149346`, 0.0990678397300458], {4, 32} -> + Complex[0.15997502039138747`, 0.45412395229305985`], {5, + 6} -> Complex[0.7973608946322628, 0.], {5, 7} -> + Complex[0.28259964162527906`, -0.4055803745838325], {5, + 8} -> Complex[-0.14372193892286123`, + 0.45619687405618636`], {5, 9} -> + Complex[-0.31513742950926715`, 0.04912752076041336], {5, + 10} -> Complex[-0.0964564876770649, \ +-0.04387994353782962], {5, 11} -> + Complex[0.1668226451310518, 0.2990474561368582], {5, 12} -> + Complex[0.16980607400071762`, -0.0009413154054021405], {5, + 13} -> Complex[ + 0.07063495593763104, 0.18915546654520524`], {5, 14} -> + Complex[-0.1475728871036449, -0.14922079251460418`], {5, + 15} -> Complex[-0.14277268958862907`, + 0.2479052297980392], {5, 16} -> + Complex[0.23396340114239164`, -0.14836338195316717`], {5, + 17} -> Complex[-0.14277268958862907`, + 0.2479052297980392], {5, 18} -> + Complex[0.23396340114239164`, -0.14836338195316717`], {5, + 19} -> Complex[ + 0.07063495593763104, 0.18915546654520524`], {5, 20} -> + Complex[-0.1475728871036449, -0.14922079251460418`], {5, + 21} -> Complex[0.1668226451310518, 0.2990474561368582], { + 5, 22} -> Complex[ + 0.16980607400071762`, -0.0009413154054021405], {5, 23} -> + Complex[-0.31513742950926715`, 0.04912752076041336], {5, + 24} -> Complex[-0.0964564876770649, \ +-0.04387994353782962], {5, 25} -> + Complex[0.28259964162527906`, -0.4055803745838325], {5, + 26} -> Complex[-0.14372193892286123`, + 0.45619687405618636`], {5, 27} -> + Complex[0.1366899433196731, 0.22179319605394876`], {5, + 28} -> Complex[0.7973608946322628, 0.], {5, 29} -> + Complex[0.05442442802981287, 0.14858688449114604`], {5, + 30} -> Complex[-0.2333099993372808, 0.2271710392758403], { + 5, 31} -> + Complex[-0.17155515501526808`, -0.1668433676200188], {5, + 32} -> Complex[-0.09765512477307971, + 0.4821278045577343], {6, 7} -> + Complex[-0.04788255890923551, -0.12484288796949913`], {6, + 8} -> Complex[0.17363309069570285`, 0.1403167246372976], { + 6, 9} -> Complex[-0.05565875071499052, + 0.09437594864128791], {6, 10} -> + Complex[-0.05062234940479168, 0.059412074076411546`], {6, 11} -> Complex[ - 0.04881033618836923, -0.3767537051917446], {5, 12} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {5, + 0.11084673340471671`, 0.07367368444009487], {6, 12} -> + Complex[0.05755533995669046, -0.07401317879009213], {6, 13} -> Complex[ - 0.03210691866533716, 0.25866941133955584`], {5, 14} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {5, + 0.005055667009208006, 0.1278205163933677], {6, 14} -> + Complex[0.019232961701569087`, -0.07895370068527609], {6, 15} -> Complex[ - 0.06561103865616492, -0.04037752804772983], {5, 16} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {5, - 17} -> Complex[-0.24139750211906025`, \ --0.17856311543581216`], {5, 18} -> - Complex[0.1302477399556314, -0.104114370134477], {5, 19} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {5, - 20} -> Complex[0.1302477399556314, -0.104114370134477], { - 5, 21} -> Complex[ - 0.06561103865616492, -0.04037752804772983], {5, 22} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {5, - 23} -> Complex[ - 0.03210691866533716, 0.25866941133955584`], {5, 24} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {5, - 25} -> Complex[ - 0.04881033618836923, -0.3767537051917446], {5, 26} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {5, - 27} -> Complex[ - 0.18344402773596857`, 0.12440237009032867`], {5, 28} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {5, - 29} -> Complex[ - 0.11313471290638971`, 0.0906083646195344], {5, 30} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {5, - 31} -> Complex[0.05957085045120364, 0.0686364172150267], { - 5, 32} -> Complex[0.5058138015078811, 0.], {5, 33} -> - Complex[-0.18704231819170578`, -0.30182786908398773`], {5, - 34} -> Complex[-0.06621032034440741, - 0.10280421447880453`], {5, 35} -> - Complex[-0.17262974874231735`, -0.03825515355084523], {5, - 36} -> Complex[ - 0.07140571807962026, -0.3254707548282041], {6, 7} -> - Complex[-0.08951618372581999, -0.1398945044720049], {6, - 8} -> Complex[-0.011194174176657017`, - 0.18050668434763023`], {6, 9} -> - Complex[0.05541102122851009, 0.15479143125784764`], {6, - 10} -> Complex[ - 0.10082205206266875`, 0.054783259519745345`], {6, 11} -> - Complex[-0.06540345886434173, 0.03247283136099954], {6, - 12} -> Complex[-0.10297491838992004`, - 0.24585233281751626`], {6, 13} -> - Complex[0.20153478327455962`, 0.091416725802769], {6, 14} -> - Complex[0.11263046571451424`, -0.15943812713557814`], {6, - 15} -> Complex[-0.00498052152715275, \ --0.08042658142468531], {6, 16} -> - Complex[0.01768967427913295, 0.07030539787536907], {6, + 0.05526746191692408, 0.16679705600024786`], {6, 16} -> + Complex[0.0703816300525041, -0.09831495930430345], {6, 17} -> Complex[ - 0.09493687473979212, 0.05333192476596154], {6, 18} -> - Complex[-0.0863909413535702, -0.18155756040588286`], {6, + 0.05526746191692408, 0.16679705600024786`], {6, 18} -> + Complex[0.0703816300525041, -0.09831495930430345], {6, 19} -> Complex[ - 0.09493687473979212, 0.05333192476596154], {6, 20} -> - Complex[-0.0863909413535702, -0.18155756040588286`], {6, - 21} -> Complex[-0.00498052152715275, \ --0.08042658142468531], {6, 22} -> - Complex[0.01768967427913295, 0.07030539787536907], {6, - 23} -> Complex[0.20153478327455962`, 0.091416725802769], { - 6, 24} -> Complex[ - 0.11263046571451424`, -0.15943812713557814`], {6, 25} -> - Complex[-0.06540345886434173, 0.03247283136099954], {6, - 26} -> Complex[-0.10297491838992004`, - 0.24585233281751626`], {6, 27} -> - Complex[0.05541102122851009, 0.15479143125784764`], {6, - 28} -> Complex[ - 0.10082205206266875`, 0.054783259519745345`], {6, 29} -> - Complex[-0.08951618372581999, -0.1398945044720049], {6, - 30} -> Complex[-0.011194174176657017`, - 0.18050668434763023`], {6, 31} -> - Complex[0.3055029437591038, 0.], {6, 32} -> - Complex[0.05957085045120364, -0.0686364172150267], {6, - 33} -> Complex[-0.13144217108963616`, - 0.08045040304054488], {6, 34} -> - Complex[0.02410019796458368, 0.07846271521707039], {6, - 35} -> Complex[ - 0.0692138138097684, -0.20164942303248495`], {6, 36} -> - Complex[-0.0838892214676934, -0.35906971113552444`], {7, - 8} -> Complex[0.3480244926609176, 0.], {7, 9} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {7, - 10} -> Complex[ - 0.13690201400056437`, -0.21116370706323376`], {7, 11} -> - Complex[-0.07072413917244547, -0.06080711260518379], {7, - 12} -> Complex[0.2158761295291703, 0.079839801475396], {7, - 13} -> Complex[ - 0.10074068312316217`, -0.24982130549270182`], {7, 14} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {7, - 15} -> Complex[-0.218113151712259, - 0.025091517498334166`], {7, 16} -> - Complex[-0.02849651545902821, 0.13038883546342855`], {7, - 17} -> Complex[-0.041305971633540155`, - 0.0475059953974924], {7, 18} -> - Complex[-0.19090563198557167`, 0.11085568682814102`], {7, - 19} -> Complex[-0.041305971633540155`, - 0.0475059953974924], {7, 20} -> - Complex[-0.19090563198557167`, 0.11085568682814102`], {7, - 21} -> Complex[-0.218113151712259, - 0.025091517498334166`], {7, 22} -> - Complex[-0.02849651545902821, 0.13038883546342855`], {7, - 23} -> Complex[ - 0.10074068312316217`, -0.24982130549270182`], {7, 24} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {7, - 25} -> - Complex[-0.07072413917244547, -0.06080711260518379], {7, - 26} -> Complex[0.2158761295291703, 0.079839801475396], {7, - 27} -> Complex[ - 0.22196866627101539`, -0.20220472842758744`], {7, 28} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {7, - 29} -> Complex[-0.015725352039344952`, \ --0.1534965717731505], {7, 30} -> Complex[0.3480244926609176, 0.], {7, 31} -> - Complex[-0.011194174176657017`, -0.18050668434763023`], { - 7, 32} -> - Complex[-0.06282282822605365, -0.17443733981734005`], {7, - 33} -> Complex[-0.17507327039387915`, - 0.2690120226571733], {7, 34} -> - Complex[-0.07400883501291561, 0.04266786697540802], {7, - 35} -> Complex[-0.33111266457208555`, - 0.2799821244558118], {7, 36} -> - Complex[-0.32833718354949015`, 0.08613557464795678], {8, - 9} -> Complex[ - 0.020907170696056646`, -0.009826517437731715], {8, 10} -> - Complex[0.32107941916226146`, 0.09232207202497354], {8, + 0.005055667009208006, 0.1278205163933677], {6, 20} -> + Complex[0.019232961701569087`, -0.07895370068527609], {6, + 21} -> Complex[ + 0.11084673340471671`, 0.07367368444009487], {6, 22} -> + Complex[0.05755533995669046, -0.07401317879009213], {6, + 23} -> Complex[-0.05565875071499052, + 0.09437594864128791], {6, 24} -> + Complex[-0.05062234940479168, 0.059412074076411546`], {6, + 25} -> Complex[-0.04788255890923551, \ +-0.12484288796949913`], {6, 26} -> + Complex[0.17363309069570285`, 0.1403167246372976], {6, + 27} -> Complex[0.20263910536773755`, 0.], {6, 28} -> + Complex[0.1366899433196731, -0.22179319605394876`], {6, + 29} -> Complex[ + 0.19808970731622894`, -0.005640195231622968], {6, 30} -> + Complex[-0.05442442802981293, 0.14858688449114604`], {6, + 31} -> Complex[-0.21598365653956714`, + 0.09400730406176475], {6, 32} -> + Complex[0.13546634634545274`, 0.19241450807239194`], {7, + 8} -> Complex[0.44279991664860185`, 0.], {7, 9} -> + Complex[0.22912253169347, 0.25555554669124914`], {7, 10} -> + Complex[-0.07482735080148525, 0.01554709808796357], {7, 11} -> Complex[ - 0.017491034151456156`, -0.1422934683362202], {8, 12} -> - Complex[-0.09078438719781487, -0.08387695970470208], {8, - 13} -> Complex[-0.03694461851812731, - 0.11992171449363792`], {8, 14} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {8, - 15} -> Complex[-0.07025866437087314, \ --0.18394307455842968`], {8, 16} -> - Complex[-0.3170629158392618, 0.07863950467973177], {8, - 17} -> Complex[-0.3429240772478055, - 0.12113458402956634`], {8, 18} -> - Complex[-0.06511122587857304, -0.01569343622580683], {8, - 19} -> Complex[-0.3429240772478055, - 0.12113458402956634`], {8, 20} -> - Complex[-0.06511122587857304, -0.01569343622580683], {8, - 21} -> Complex[-0.07025866437087314, \ --0.18394307455842968`], {8, 22} -> - Complex[-0.3170629158392618, 0.07863950467973177], {8, - 23} -> Complex[-0.03694461851812731, - 0.11992171449363792`], {8, 24} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {8, - 25} -> Complex[ - 0.017491034151456156`, -0.1422934683362202], {8, 26} -> - Complex[-0.09078438719781487, -0.08387695970470208], {8, - 27} -> Complex[ - 0.020907170696056646`, -0.009826517437731715], {8, 28} -> - Complex[0.32107941916226146`, 0.09232207202497354], {8, - 29} -> Complex[0.5500421302238756, 0.], {8, 30} -> - Complex[-0.015725352039344952`, 0.1534965717731505], {8, - 31} -> Complex[-0.08951618372581999, - 0.1398945044720049], {8, 32} -> - Complex[0.11313471290638971`, -0.0906083646195344], {8, - 33} -> Complex[-0.25897033958870125`, \ --0.2062898932256956], {8, 34} -> - Complex[0.09671382069915349, -0.31356085339344003`], {8, - 35} -> Complex[-0.006051982269297387, - 0.008414767951100507], {8, 36} -> - Complex[-0.21414311351504042`, -0.06573453711443833], {9, - 10} -> Complex[0.4666612200115955, 0.], {9, 11} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, - 12} -> Complex[-0.002703366170010074, - 0.1342165202528226], {9, 13} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, - 14} -> Complex[0.04387227616028566, 0.169253767952832], { - 9, 15} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, - 16} -> Complex[-0.16219964087949312`, - 0.23052958058187878`], {9, 17} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {9, - 18} -> Complex[-0.27334468363839204`, \ --0.09375100770632477], {9, 19} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {9, - 20} -> Complex[-0.27334468363839204`, \ --0.09375100770632477], {9, 21} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, - 22} -> Complex[-0.16219964087949312`, - 0.23052958058187878`], {9, 23} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, - 24} -> Complex[0.04387227616028566, 0.169253767952832], { - 9, 25} -> Complex[-0.10523618574474686`, - 0.07147202526604769], {9, 26} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, - 27} -> Complex[ - 0.10214442350629199`, -0.026260413784740505`], {9, 28} -> - Complex[0.4666612200115955, 0.], {9, 29} -> - Complex[0.32107941916226146`, -0.09232207202497354], {9, - 30} -> Complex[ - 0.13690201400056437`, 0.21116370706323376`], {9, 31} -> - Complex[0.10082205206266875`, -0.054783259519745345`], {9, - 32} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {9, - 33} -> Complex[-0.2841944960267362, 0.0881056163125139], { - 9, 34} -> Complex[ - 0.16634996387262246`, -0.22507239863090805`], {9, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {9, - 36} -> Complex[-0.45453234415494154`, \ --0.154590481023119], {10, 11} -> - Complex[0.026461024624226184`, -0.17157026853359011`], { - 10, 12} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, - 13} -> Complex[ - 0.19742335371429923`, -0.09763016245015396], {10, 14} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, - 15} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, - 16} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, - 17} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, - 18} -> Complex[-0.1350116019726202, \ --0.04516801561911384], {10, 19} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, - 20} -> Complex[-0.1350116019726202, \ --0.04516801561911384], {10, 21} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, - 22} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, - 23} -> Complex[ - 0.19742335371429923`, -0.09763016245015396], {10, 24} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, - 25} -> Complex[ - 0.026461024624226184`, -0.17157026853359011`], {10, 26} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, - 27} -> Complex[0.33314595779251727`, 0.], {10, 28} -> - Complex[0.10214442350629199`, 0.026260413784740505`], {10, - 29} -> Complex[ - 0.020907170696056646`, 0.009826517437731715], {10, 30} -> - Complex[0.22196866627101539`, 0.20220472842758744`], {10, - 31} -> Complex[ - 0.05541102122851009, -0.15479143125784764`], {10, 32} -> - Complex[0.18344402773596857`, -0.12440237009032867`], {10, - 33} -> - Complex[-0.2521578356402413, -0.01333219816254436], {10, - 34} -> Complex[-0.09116148563358083, - 0.08672925004639812], {10, 35} -> - Complex[-0.5009225822231967, 0.03036622844279574], {10, - 36} -> Complex[-0.1821537065194496, -0.1809373735116714], \ -{11, 12} -> Complex[0.2638704815566899, 0.], {11, 13} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, - 14} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {11, - 15} -> Complex[-0.10573743372545524`, - 0.06148505498780174], {11, 16} -> - Complex[0.029111053747052022`, -0.03092252970487717], {11, - 17} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, - 18} -> Complex[-0.12879874504374314`, - 0.15781559429956118`], {11, 19} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, - 20} -> Complex[-0.12879874504374314`, - 0.15781559429956118`], {11, 21} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {11, - 22} -> Complex[ - 0.029111053747052022`, -0.03092252970487717], {11, 23} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, - 24} -> Complex[-0.18045658269343973`, \ --0.06407563305713601], {11, 25} -> - Complex[0.03589005743520234, -0.010244248183710654`], {11, - 26} -> Complex[0.2638704815566899, 0.], {11, 27} -> - Complex[0.14020706236902425`, -0.157106453123418], {11, - 28} -> Complex[-0.002703366170010074, \ --0.1342165202528226], {11, 29} -> - Complex[-0.09078438719781487, 0.08387695970470208], {11, - 30} -> Complex[0.2158761295291703, -0.079839801475396], { - 11, 31} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], { - 11, 32} -> - Complex[-0.05197448003562596, -0.034035129192128775`], { - 11, 33} -> - Complex[0.07182371169440027, 0.13961968957305576`], {11, - 34} -> Complex[ - 0.03971739520512007, 0.01279589611612527], {11, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {11, - 36} -> Complex[-0.28325062776683585`, - 0.15967643343543628`], {12, 13} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, - 14} -> Complex[-0.005254583355195047, \ --0.07911629825938535], {12, 15} -> - Complex[-0.016434880239505067`, -0.02799549139813756], { - 12, 16} -> - Complex[0.09504874694484183, -0.252921972711526], {12, + 0.23530920684103981`, -0.0909192260612194], {7, 12} -> + Complex[-0.021450925664317888`, -0.20231262751067364`], { + 7, 13} -> Complex[ + 0.022865123054102737`, -0.04960709547698468], {7, 14} -> + Complex[0.08074598001208205, 0.08855457473741418], {7, + 15} -> Complex[ + 0.2559730175620584, 0.12078716288411598`], {7, 16} -> + Complex[-0.06038101273760845, -0.13919179950515956`], {7, 17} -> Complex[ - 0.08241113354082491, -0.24960895170610842`], {12, 18} -> - Complex[-0.004104217599466588, 0.09920939692115077], {12, + 0.2559730175620584, 0.12078716288411598`], {7, 18} -> + Complex[-0.06038101273760845, -0.13919179950515956`], {7, 19} -> Complex[ - 0.08241113354082491, -0.24960895170610842`], {12, 20} -> - Complex[-0.004104217599466588, 0.09920939692115077], {12, - 21} -> Complex[-0.016434880239505067`, \ --0.02799549139813756], {12, 22} -> - Complex[0.09504874694484183, -0.252921972711526], {12, - 23} -> Complex[-0.1376685276414912, -0.017279120496164], { - 12, 24} -> - Complex[-0.005254583355195047, -0.07911629825938535], {12, - 25} -> Complex[0.35884454526493437`, 0.], {12, 26} -> - Complex[0.03589005743520234, 0.010244248183710654`], {12, - 27} -> Complex[ - 0.026461024624226184`, 0.17157026853359011`], {12, 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {12, - 29} -> Complex[ - 0.017491034151456156`, 0.1422934683362202], {12, 30} -> - Complex[-0.07072413917244547, 0.06080711260518379], {12, - 31} -> Complex[-0.06540345886434173, \ --0.03247283136099954], {12, 32} -> - Complex[0.04881033618836923, 0.3767537051917446], {12, - 33} -> Complex[ - 0.15643971909026363`, -0.21034493673282548`], {12, 34} -> - Complex[-0.07901145315910152, -0.12060096224364471`], {12, - 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {12, - 36} -> Complex[ - 0.12697363466636613`, 0.017287640275502197`], {13, 14} -> - Complex[0.3248309079027546, 0.], {13, 15} -> - Complex[-0.055024457915968744`, -0.00875520102328074], { - 13, 16} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, - 17} -> Complex[ - 0.17469085565385242`, 0.20815325028445178`], {13, 18} -> - Complex[0.039373147369999854`, -0.022673347542931065`], { - 13, 19} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, + 0.022865123054102737`, -0.04960709547698468], {7, 20} -> + Complex[0.08074598001208205, 0.08855457473741418], {7, + 21} -> Complex[ + 0.23530920684103981`, -0.0909192260612194], {7, 22} -> + Complex[-0.021450925664317888`, -0.20231262751067364`], { + 7, 23} -> Complex[ + 0.22912253169347, 0.25555554669124914`], {7, 24} -> + Complex[-0.07482735080148525, 0.01554709808796357], {7, + 25} -> Complex[-0.25986751190259594`, \ +-0.19937008578078047`], {7, 26} -> Complex[0.44279991664860185`, 0.], {7, 27} -> + Complex[0.17363309069570285`, -0.1403167246372976], {7, + 28} -> Complex[-0.14372193892286123`, \ +-0.45619687405618636`], {7, 29} -> + Complex[0.26723944870955263`, -0.18013517883484725`], {7, + 30} -> Complex[ + 0.10734135762637748`, 0.19617830350078105`], {7, 31} -> + Complex[0.040650102227546676`, 0.037686955531505785`], {7, + 32} -> Complex[ + 0.26488016647622287`, 0.03177814393460615], {8, 9} -> + Complex[-0.18321791222949194`, 0.035808072295513985`], {8, + 10} -> Complex[ + 0.06308937077219877, -0.16425756045192152`], {8, 11} -> + Complex[-0.11348480027122035`, 0.34468442336798244`], {8, + 12} -> Complex[ + 0.14683816981476766`, 0.034502058514711414`], {8, 13} -> + Complex[-0.05181977912767945, 0.037809566636026526`], {8, + 14} -> Complex[ + 0.05350396017855871, -0.038145366086212794`], {8, 15} -> + Complex[-0.1855462901651881, 0.08953347157789894], {8, + 16} -> Complex[ + 0.21051246235757812`, 0.08951514239750463], {8, 17} -> + Complex[-0.1855462901651881, 0.08953347157789894], {8, + 18} -> Complex[ + 0.21051246235757812`, 0.08951514239750463], {8, 19} -> + Complex[-0.05181977912767945, 0.037809566636026526`], {8, 20} -> Complex[ - 0.039373147369999854`, -0.022673347542931065`], {13, 21} -> - Complex[-0.055024457915968744`, -0.00875520102328074], { - 13, 22} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, - 23} -> Complex[ - 0.06998304089724083, 0.09262495833114717], {13, 24} -> - Complex[0.3248309079027546, 0.], {13, 25} -> - Complex[-0.005254583355195047, 0.07911629825938535], {13, - 26} -> Complex[-0.18045658269343973`, - 0.06407563305713601], {13, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {13, - 28} -> Complex[0.04387227616028566, -0.169253767952832], { - 13, 29} -> - Complex[0.015573345706232422`, -0.33611710368003506`], { - 13, 30} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {13, + 0.05350396017855871, -0.038145366086212794`], {8, 21} -> + Complex[-0.11348480027122035`, 0.34468442336798244`], {8, + 22} -> Complex[ + 0.14683816981476766`, 0.034502058514711414`], {8, 23} -> + Complex[-0.18321791222949194`, 0.035808072295513985`], {8, + 24} -> Complex[ + 0.06308937077219877, -0.16425756045192152`], {8, 25} -> + Complex[0.5333747400652373, 0.], {8, 26} -> + Complex[-0.25986751190259594`, 0.19937008578078047`], {8, + 27} -> Complex[-0.04788255890923551, + 0.12484288796949913`], {8, 28} -> + Complex[0.28259964162527906`, 0.4055803745838325], {8, + 29} -> Complex[ + 0.1938167265709829, 0.16890318060989123`], {8, 30} -> + Complex[-0.3396867137428587, -0.13646163767421743`], {8, + 31} -> Complex[0.3366775563160397, 0.09992753883776476], { + 8, 32} -> Complex[-0.2128973260243628, + 0.2803118968875541], {9, 10} -> + Complex[0.135726527386378, 0.], {9, 11} -> + Complex[-0.08930473416931554, -0.007048096041707605], {9, + 12} -> Complex[ + 0.03975514319435934, 0.05151250369655895], {9, 13} -> + Complex[0.12032699300738342`, -0.048441152283289074`], {9, + 14} -> Complex[-0.12725910621181818`, + 0.07905444855796712], {9, 15} -> + Complex[-0.026647065623548363`, -0.026330641239406972`], { + 9, 16} -> Complex[-0.04860629109081113, + 0.04246480370392383], {9, 17} -> + Complex[-0.026647065623548363`, -0.026330641239406972`], { + 9, 18} -> Complex[-0.04860629109081113, + 0.04246480370392383], {9, 19} -> + Complex[0.12032699300738342`, -0.048441152283289074`], {9, + 20} -> Complex[-0.12725910621181818`, + 0.07905444855796712], {9, 21} -> + Complex[-0.08930473416931554, -0.007048096041707605], {9, + 22} -> Complex[ + 0.03975514319435934, 0.05151250369655895], {9, 23} -> + Complex[-0.11019599040362683`, 0.05916418261795878], {9, + 24} -> Complex[0.135726527386378, 0.], {9, 25} -> + Complex[0.06308937077219877, 0.16425756045192152`], {9, + 26} -> Complex[-0.07482735080148525, \ +-0.01554709808796357], {9, 27} -> + Complex[-0.05062234940479168, -0.059412074076411546`], {9, + 28} -> Complex[-0.0964564876770649, + 0.04387994353782962], {9, 29} -> + Complex[-0.06778091820891004, 0.11263382211139406`], {9, + 30} -> Complex[ + 0.06550651054263391, -0.09165221630004965], {9, 31} -> + Complex[0.07078276202467412, 0.30788890986999096`], {9, + 32} -> Complex[-0.06765757529077783, \ +-0.13038007028245235`], {10, 11} -> + Complex[0.06842480050902869, -0.15505501766299976`], {10, + 12} -> Complex[-0.13939394787264447`, \ +-0.13747106056552227`], {10, 13} -> + Complex[-0.15768324024018812`, -0.14328868692391553`], { + 10, 14} -> + Complex[0.2643754685221928, 0.07682893410517902], {10, + 15} -> Complex[ + 0.1920939879748598, -0.10630694451257516`], {10, 16} -> + Complex[-0.07538887957770507, 0.014151525468183115`], {10, + 17} -> Complex[ + 0.1920939879748598, -0.10630694451257516`], {10, 18} -> + Complex[-0.07538887957770507, 0.014151525468183115`], {10, + 19} -> + Complex[-0.15768324024018812`, -0.14328868692391553`], { + 10, 20} -> + Complex[0.2643754685221928, 0.07682893410517902], {10, + 21} -> Complex[ + 0.06842480050902869, -0.15505501766299976`], {10, 22} -> + Complex[-0.13939394787264447`, -0.13747106056552227`], { + 10, 23} -> Complex[0.42635779992285405`, 0.], {10, 24} -> + Complex[-0.11019599040362683`, -0.05916418261795878], {10, + 25} -> + Complex[-0.18321791222949194`, -0.035808072295513985`], { + 10, 26} -> + Complex[0.22912253169347, -0.25555554669124914`], {10, + 27} -> Complex[-0.05565875071499052, \ +-0.09437594864128791], {10, 28} -> + Complex[-0.31513742950926715`, -0.04912752076041336], {10, + 29} -> Complex[ + 0.11017975259513822`, -0.24891234255610362`], {10, 30} -> + Complex[0.10029581103120666`, -0.01981792746027898], {10, + 31} -> Complex[0.2533574041138994, -0.2841723464925085], { + 10, 32} -> + Complex[0.020172727999101747`, -0.03449935263782891], {11, + 12} -> Complex[0.1272054475990647, 0.], {11, 13} -> + Complex[0.03249739020896987, -0.007688837072184563], {11, + 14} -> Complex[-0.03666874742079528, + 0.07798472902890301], {11, 15} -> + Complex[-0.07116526154293495, 0.12925982418550483`], {11, + 16} -> Complex[ + 0.07267050201545142, 0.011714058141280672`], {11, 17} -> + Complex[-0.07116526154293495, 0.12925982418550483`], {11, + 18} -> Complex[ + 0.07267050201545142, 0.011714058141280672`], {11, 19} -> + Complex[0.03249739020896987, -0.007688837072184563], {11, + 20} -> Complex[-0.03666874742079528, + 0.07798472902890301], {11, 21} -> + Complex[-0.013539473736158613`, 0.13067968221082676`], { + 11, 22} -> Complex[0.1272054475990647, 0.], {11, 23} -> + Complex[-0.13939394787264447`, 0.13747106056552227`], {11, + 24} -> Complex[ + 0.03975514319435934, -0.05151250369655895], {11, 25} -> + Complex[0.14683816981476766`, -0.034502058514711414`], { + 11, 26} -> + Complex[-0.021450925664317888`, 0.20231262751067364`], { + 11, 27} -> + Complex[0.05755533995669046, 0.07401317879009213], {11, + 28} -> Complex[ + 0.16980607400071762`, 0.0009413154054021405], {11, 29} -> + Complex[0.10046002901967245`, 0.19478861449336152`], {11, + 30} -> Complex[-0.0832461030605116, + 0.0007900461969849934], {11, 31} -> + Complex[0.014982384821209789`, 0.13663234668804805`], {11, + 32} -> Complex[-0.1353776277549702, + 0.09474310902835915], {12, 13} -> + Complex[0.1011867533194991, 0.05266749081168851], {12, + 14} -> Complex[-0.07986138310064092, \ +-0.05490753841460036], {12, 15} -> + Complex[0.15833164198889998`, 0.11387642571006557`], {12, + 16} -> Complex[ + 0.0049348768685348095`, -0.19401579066298913`], {12, 17} -> + Complex[0.15833164198889998`, 0.11387642571006557`], {12, + 18} -> Complex[ + 0.0049348768685348095`, -0.19401579066298913`], {12, 19} -> + Complex[0.1011867533194991, 0.05266749081168851], {12, + 20} -> Complex[-0.07986138310064092, \ +-0.05490753841460036], {12, 21} -> Complex[0.288790430194917, 0.], {12, 22} -> + Complex[-0.013539473736158613`, -0.13067968221082676`], { + 12, 23} -> + Complex[0.06842480050902869, 0.15505501766299976`], {12, + 24} -> Complex[-0.08930473416931554, + 0.007048096041707605], {12, 25} -> + Complex[-0.11348480027122035`, -0.34468442336798244`], { + 12, 26} -> + Complex[0.23530920684103981`, 0.0909192260612194], {12, + 27} -> Complex[ + 0.11084673340471671`, -0.07367368444009487], {12, 28} -> + Complex[0.1668226451310518, -0.2990474561368582], {12, + 29} -> Complex[ + 0.09392733334800707, -0.23700943627758006`], {12, 30} -> + Complex[0.012301908189476976`, 0.29819031736230395`], {12, 31} -> Complex[ - 0.11263046571451424`, 0.15943812713557814`], {13, 32} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {13, - 33} -> Complex[-0.08996062722681389, - 0.04963088270675587], {13, 34} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], { - 13, 35} -> - Complex[0.054818062753627404`, -0.18407880112585107`], { - 13, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {14, - 15} -> Complex[-0.034285724395853735`, \ --0.1383242023528445], {14, 16} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], { - 14, 17} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, - 18} -> Complex[-0.12599372208886145`, \ --0.18913477597107048`], {14, 19} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, - 20} -> Complex[-0.12599372208886145`, \ --0.18913477597107048`], {14, 21} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, - 22} -> Complex[-0.042124735558062835`, - 0.12231882955045151`], {14, 23} -> - Complex[0.35279363941541053`, 0.], {14, 24} -> - Complex[0.06998304089724083, -0.09262495833114717], {14, - 25} -> Complex[-0.1376685276414912, 0.017279120496164], { + 0.036746036528397724`, -0.11894266930455437`], {12, 32} -> + Complex[0.2806974213994702, 0.046546994330126934`], {13, + 14} -> Complex[0.4079525483141261, 0.], {13, 15} -> + Complex[0.006827467338087173, -0.01209924810690289], {13, + 16} -> Complex[ + 0.08723277223992514, 0.11080073531383203`], {13, 17} -> + Complex[0.006827467338087173, -0.01209924810690289], {13, + 18} -> Complex[ + 0.08723277223992514, 0.11080073531383203`], {13, 19} -> + Complex[-0.3220977038351225, -0.0383011718065015], {13, + 20} -> Complex[0.4079525483141261, 0.], {13, 21} -> + Complex[-0.07986138310064092, 0.05490753841460036], {13, + 22} -> Complex[-0.03666874742079528, \ +-0.07798472902890301], {13, 23} -> + Complex[0.2643754685221928, -0.07682893410517902], {13, + 24} -> Complex[-0.12725910621181818`, \ +-0.07905444855796712], {13, 25} -> + Complex[0.05350396017855871, 0.038145366086212794`], {13, + 26} -> Complex[ + 0.08074598001208205, -0.08855457473741418], {13, 27} -> + Complex[0.019232961701569087`, 0.07895370068527609], {13, + 28} -> Complex[-0.1475728871036449, + 0.14922079251460418`], {13, 29} -> + Complex[0.27858075604955634`, -0.030371398383274933`], { + 13, 30} -> + Complex[-0.15607378409602476`, -0.1439965761825238], {13, + 31} -> Complex[ + 0.11917354760172008`, -0.272212173030505], {13, 32} -> + Complex[-0.10354421178516458`, 0.22986188863366275`], {14, + 15} -> Complex[ + 0.06970781907889996, 0.027872664118806813`], {14, 16} -> + Complex[-0.08476806338113038, -0.11473204575369803`], {14, + 17} -> Complex[ + 0.06970781907889996, 0.027872664118806813`], {14, 18} -> + Complex[-0.08476806338113038, -0.11473204575369803`], {14, + 19} -> Complex[0.29582940176126815`, 0.], {14, 20} -> + Complex[-0.3220977038351225, 0.0383011718065015], {14, + 21} -> Complex[ + 0.1011867533194991, -0.05266749081168851], {14, 22} -> + Complex[0.03249739020896987, 0.007688837072184563], {14, + 23} -> Complex[-0.15768324024018812`, + 0.14328868692391553`], {14, 24} -> + Complex[0.12032699300738342`, 0.048441152283289074`], {14, + 25} -> + Complex[-0.05181977912767945, -0.037809566636026526`], { 14, 26} -> - Complex[-0.017700618374932788`, 0.229189990199907], {14, + Complex[0.022865123054102737`, 0.04960709547698468], {14, 27} -> Complex[ - 0.19742335371429923`, 0.09763016245015396], {14, 28} -> - Complex[0.19754043867481771`, 0.06710821743420367], {14, - 29} -> Complex[-0.03694461851812731, \ --0.11992171449363792`], {14, 30} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {14, - 31} -> Complex[ - 0.20153478327455962`, -0.091416725802769], {14, 32} -> - Complex[0.03210691866533716, -0.25866941133955584`], {14, - 33} -> Complex[-0.26044059541670533`, - 0.05145411756901592], {14, 34} -> - Complex[-0.06287334385176857, 0.039875195608224154`], {14, - 35} -> - Complex[-0.25377338518228143`, -0.22696868263028766`], { - 14, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], { - 15, 16} -> Complex[0.349552824256183, 0.], {15, 17} -> - Complex[0.3520451599439639, -0.006012121161366684], {15, - 18} -> Complex[ - 0.008173587051180226, 0.09795082074318642], {15, 19} -> - Complex[0.3520451599439639, -0.006012121161366684], {15, + 0.005055667009208006, -0.1278205163933677], {14, 28} -> + Complex[0.07063495593763104, -0.18915546654520524`], {14, + 29} -> Complex[-0.14920571596040955`, \ +-0.004668871253339259], {14, 30} -> + Complex[0.1695753382061036, 0.12525309112556196`], {14, + 31} -> Complex[-0.005519120018070173, + 0.32277555558099397`], {14, 32} -> + Complex[0.0926308918937118, -0.14887764782704088`], {15, + 16} -> Complex[0.1576509820323173, 0.], {15, 17} -> + Complex[-0.07621780081525145, 0.10986947258054452`], {15, + 18} -> Complex[0.1576509820323173, 0.], {15, 19} -> + Complex[-0.08476806338113038, 0.11473204575369803`], {15, 20} -> Complex[ - 0.008173587051180226, 0.09795082074318642], {15, 21} -> - Complex[0.0018678498053481644`, 0.11355320674819902`], { - 15, 22} -> Complex[0.349552824256183, 0.], {15, 23} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], { + 0.08723277223992514, -0.11080073531383203`], {15, 21} -> + Complex[0.0049348768685348095`, 0.19401579066298913`], { + 15, 22} -> + Complex[0.07267050201545142, -0.011714058141280672`], {15, + 23} -> + Complex[-0.07538887957770507, -0.014151525468183115`], { 15, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {15, - 25} -> Complex[0.09504874694484183, 0.252921972711526], { - 15, 26} -> - Complex[0.029111053747052022`, 0.03092252970487717], {15, - 27} -> Complex[-0.13187039110424337`, - 0.05577367679001426], {15, 28} -> - Complex[-0.16219964087949312`, -0.23052958058187878`], { - 15, 29} -> - Complex[-0.3170629158392618, -0.07863950467973177], {15, - 30} -> Complex[-0.02849651545902821, \ --0.13038883546342855`], {15, 31} -> - Complex[0.01768967427913295, -0.07030539787536907], {15, - 32} -> Complex[-0.27597397639459753`, - 0.2023899803882464], {15, 33} -> - Complex[0.27720818247658857`, 0.1557462430493763], {15, - 34} -> Complex[-0.10985803268384983`, - 0.010763626429992096`], {15, 35} -> - Complex[0.07950629072406969, -0.15112987613524487`], {15, - 36} -> Complex[ - 0.15935941360240716`, 0.2513470741842914], {16, 17} -> - Complex[0.012115526439909248`, -0.07586465949937707], {16, - 18} -> Complex[ - 0.14452293041969513`, -0.1105782258057243], {16, 19} -> - Complex[0.012115526439909248`, -0.07586465949937707], {16, - 20} -> Complex[ - 0.14452293041969513`, -0.1105782258057243], {16, 21} -> - Complex[0.18939927318289235`, 0.], {16, 22} -> - Complex[0.0018678498053481644`, -0.11355320674819902`], { - 16, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {16, - 24} -> Complex[-0.055024457915968744`, - 0.00875520102328074], {16, 25} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {16, - 26} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {16, - 27} -> Complex[-0.11316770831298564`, - 0.08944943686956167], {16, 28} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {16, - 29} -> Complex[-0.07025866437087314, - 0.18394307455842968`], {16, 30} -> - Complex[-0.218113151712259, -0.025091517498334166`], {16, - 31} -> Complex[-0.00498052152715275, - 0.08042658142468531], {16, 32} -> - Complex[0.06561103865616492, 0.04037752804772983], {16, - 33} -> Complex[ - 0.12372341411859573`, -0.16477324944202285`], {16, 34} -> - Complex[0.0896129289093057, 0.08670073786995046], {16, - 35} -> Complex[ - 0.1862561519544158, -0.11528023790296092`], {16, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {17, - 18} -> Complex[0.27470470789916873`, 0.], {17, 19} -> - Complex[0.007773728117029734, -0.02423539675981027], {17, - 20} -> Complex[0.27470470789916873`, 0.], {17, 21} -> - Complex[0.14452293041969513`, 0.1105782258057243], {17, - 22} -> Complex[ - 0.008173587051180226, -0.09795082074318642], {17, 23} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {17, - 24} -> Complex[ - 0.039373147369999854`, 0.022673347542931065`], {17, 25} -> - Complex[-0.004104217599466588, -0.09920939692115077], {17, - 26} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], { - 17, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {17, - 28} -> Complex[-0.27334468363839204`, - 0.09375100770632477], {17, 29} -> - Complex[-0.06511122587857304, 0.01569343622580683], {17, - 30} -> Complex[-0.19090563198557167`, \ --0.11085568682814102`], {17, 31} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {17, - 32} -> Complex[0.1302477399556314, 0.104114370134477], { - 17, 33} -> - Complex[0.09968546178967824, -0.1683352007294286], {17, - 34} -> Complex[-0.1355879777222275, - 0.08845876363140671], {17, 35} -> - Complex[0.13747177730338656`, 0.016173756793363754`], {17, - 36} -> Complex[ - 0.40662055959967014`, 0.11162748046866011`], {18, 19} -> - Complex[0.3905441579974116, 0.], {18, 20} -> - Complex[0.007773728117029734, 0.02423539675981027], {18, + Complex[-0.04860629109081113, -0.04246480370392383], {15, + 25} -> Complex[ + 0.21051246235757812`, -0.08951514239750463], {15, 26} -> + Complex[-0.06038101273760845, 0.13919179950515956`], {15, + 27} -> Complex[0.0703816300525041, 0.09831495930430345], { + 15, 28} -> + Complex[0.23396340114239164`, 0.14836338195316717`], {15, + 29} -> Complex[0.1559809531435565, 0.03223196939623798], { + 15, 30} -> + Complex[-0.20988883047294088`, 0.03544251396822046], {15, + 31} -> Complex[-0.007195583582784125, \ +-0.06896354235277449], {15, 32} -> + Complex[-0.0749459256389439, 0.2284108346745835], {16, + 17} -> Complex[0.21788533841205476`, 0.], {16, 18} -> + Complex[-0.07621780081525145, -0.10986947258054452`], {16, + 19} -> Complex[ + 0.06970781907889996, -0.027872664118806813`], {16, 20} -> + Complex[0.006827467338087173, 0.01209924810690289], {16, 21} -> Complex[ - 0.012115526439909248`, 0.07586465949937707], {18, 22} -> - Complex[0.3520451599439639, 0.006012121161366684], {18, - 23} -> Complex[ - 0.047713220798493425`, -0.08361488922564436], {18, 24} -> - Complex[0.17469085565385242`, -0.20815325028445178`], {18, - 25} -> Complex[ - 0.08241113354082491, 0.24960895170610842`], {18, 26} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {18, - 27} -> Complex[-0.09261261877802832, - 0.1270548580331935], {18, 28} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {18, - 29} -> Complex[-0.3429240772478055, \ --0.12113458402956634`], {18, 30} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {18, - 31} -> Complex[ - 0.09493687473979212, -0.05333192476596154], {18, 32} -> - Complex[-0.24139750211906025`, 0.17856311543581216`], {18, - 33} -> Complex[ - 0.20846784571655388`, 0.1346840497441242], {18, 34} -> - Complex[-0.1606002091580235, 0.04277649306205672], {18, - 35} -> Complex[ - 0.020304980203947276`, -0.2448019195395177], {18, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {19, - 20} -> Complex[0.27470470789916873`, 0.], {19, 21} -> - Complex[0.14452293041969513`, 0.1105782258057243], {19, - 22} -> Complex[ - 0.008173587051180226, -0.09795082074318642], {19, 23} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {19, - 24} -> Complex[ - 0.039373147369999854`, 0.022673347542931065`], {19, 25} -> - Complex[-0.004104217599466588, -0.09920939692115077], {19, - 26} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], { - 19, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {19, - 28} -> Complex[-0.27334468363839204`, - 0.09375100770632477], {19, 29} -> - Complex[-0.06511122587857304, 0.01569343622580683], {19, - 30} -> Complex[-0.19090563198557167`, \ --0.11085568682814102`], {19, 31} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {19, - 32} -> Complex[0.1302477399556314, 0.104114370134477], { - 19, 33} -> - Complex[0.09968546178967824, -0.1683352007294286], {19, - 34} -> Complex[-0.1355879777222275, - 0.08845876363140671], {19, 35} -> - Complex[0.13747177730338656`, 0.016173756793363754`], {19, - 36} -> Complex[ - 0.40662055959967014`, 0.11162748046866011`], {20, 21} -> - Complex[0.012115526439909248`, 0.07586465949937707], {20, - 22} -> Complex[ - 0.3520451599439639, 0.006012121161366684], {20, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {20, + 0.15833164198889998`, -0.11387642571006557`], {16, 22} -> + Complex[-0.07116526154293495, -0.12925982418550483`], {16, + 23} -> Complex[ + 0.1920939879748598, 0.10630694451257516`], {16, 24} -> + Complex[-0.026647065623548363`, 0.026330641239406972`], { + 16, 25} -> + Complex[-0.1855462901651881, -0.08953347157789894], {16, + 26} -> Complex[ + 0.2559730175620584, -0.12078716288411598`], {16, 27} -> + Complex[0.05526746191692408, -0.16679705600024786`], {16, + 28} -> Complex[-0.14277268958862907`, \ +-0.2479052297980392], {16, 29} -> + Complex[0.0843470356919863, -0.21628437576571974`], {16, + 30} -> Complex[ + 0.1504904090013878, 0.12024277886252119`], {16, 31} -> + Complex[0.08124011098625433, 0.0559800004451918], {16, + 32} -> Complex[ + 0.1737724935599298, -0.007390914815773142], {17, 18} -> + Complex[0.1576509820323173, 0.], {17, 19} -> + Complex[-0.08476806338113038, 0.11473204575369803`], {17, + 20} -> Complex[ + 0.08723277223992514, -0.11080073531383203`], {17, 21} -> + Complex[0.0049348768685348095`, 0.19401579066298913`], { + 17, 22} -> + Complex[0.07267050201545142, -0.011714058141280672`], {17, + 23} -> + Complex[-0.07538887957770507, -0.014151525468183115`], { + 17, 24} -> + Complex[-0.04860629109081113, -0.04246480370392383], {17, + 25} -> Complex[ + 0.21051246235757812`, -0.08951514239750463], {17, 26} -> + Complex[-0.06038101273760845, 0.13919179950515956`], {17, + 27} -> Complex[0.0703816300525041, 0.09831495930430345], { + 17, 28} -> + Complex[0.23396340114239164`, 0.14836338195316717`], {17, + 29} -> Complex[0.1559809531435565, 0.03223196939623798], { + 17, 30} -> + Complex[-0.20988883047294088`, 0.03544251396822046], {17, + 31} -> Complex[-0.007195583582784125, \ +-0.06896354235277449], {17, 32} -> + Complex[-0.0749459256389439, 0.2284108346745835], {18, + 19} -> Complex[ + 0.06970781907889996, -0.027872664118806813`], {18, 20} -> + Complex[0.006827467338087173, 0.01209924810690289], {18, + 21} -> Complex[ + 0.15833164198889998`, -0.11387642571006557`], {18, 22} -> + Complex[-0.07116526154293495, -0.12925982418550483`], {18, + 23} -> Complex[ + 0.1920939879748598, 0.10630694451257516`], {18, 24} -> + Complex[-0.026647065623548363`, 0.026330641239406972`], { + 18, 25} -> + Complex[-0.1855462901651881, -0.08953347157789894], {18, + 26} -> Complex[ + 0.2559730175620584, -0.12078716288411598`], {18, 27} -> + Complex[0.05526746191692408, -0.16679705600024786`], {18, + 28} -> Complex[-0.14277268958862907`, \ +-0.2479052297980392], {18, 29} -> + Complex[0.0843470356919863, -0.21628437576571974`], {18, + 30} -> Complex[ + 0.1504904090013878, 0.12024277886252119`], {18, 31} -> + Complex[0.08124011098625433, 0.0559800004451918], {18, + 32} -> Complex[ + 0.1737724935599298, -0.007390914815773142], {19, 20} -> + Complex[0.4079525483141261, 0.], {19, 21} -> + Complex[-0.07986138310064092, 0.05490753841460036], {19, + 22} -> Complex[-0.03666874742079528, \ +-0.07798472902890301], {19, 23} -> + Complex[0.2643754685221928, -0.07682893410517902], {19, + 24} -> Complex[-0.12725910621181818`, \ +-0.07905444855796712], {19, 25} -> + Complex[0.05350396017855871, 0.038145366086212794`], {19, + 26} -> Complex[ + 0.08074598001208205, -0.08855457473741418], {19, 27} -> + Complex[0.019232961701569087`, 0.07895370068527609], {19, + 28} -> Complex[-0.1475728871036449, + 0.14922079251460418`], {19, 29} -> + Complex[0.27858075604955634`, -0.030371398383274933`], { + 19, 30} -> + Complex[-0.15607378409602476`, -0.1439965761825238], {19, + 31} -> Complex[ + 0.11917354760172008`, -0.272212173030505], {19, 32} -> + Complex[-0.10354421178516458`, 0.22986188863366275`], {20, + 21} -> Complex[ + 0.1011867533194991, -0.05266749081168851], {20, 22} -> + Complex[0.03249739020896987, 0.007688837072184563], {20, + 23} -> Complex[-0.15768324024018812`, + 0.14328868692391553`], {20, 24} -> + Complex[0.12032699300738342`, 0.048441152283289074`], {20, + 25} -> + Complex[-0.05181977912767945, -0.037809566636026526`], { + 20, 26} -> + Complex[0.022865123054102737`, 0.04960709547698468], {20, + 27} -> Complex[ + 0.005055667009208006, -0.1278205163933677], {20, 28} -> + Complex[0.07063495593763104, -0.18915546654520524`], {20, + 29} -> Complex[-0.14920571596040955`, \ +-0.004668871253339259], {20, 30} -> + Complex[0.1695753382061036, 0.12525309112556196`], {20, + 31} -> Complex[-0.005519120018070173, + 0.32277555558099397`], {20, 32} -> + Complex[0.0926308918937118, -0.14887764782704088`], {21, + 22} -> Complex[0.1272054475990647, 0.], {21, 23} -> + Complex[-0.13939394787264447`, 0.13747106056552227`], {21, 24} -> Complex[ - 0.17469085565385242`, -0.20815325028445178`], {20, 25} -> - Complex[0.08241113354082491, 0.24960895170610842`], {20, - 26} -> Complex[-0.018530669057524738`, - 0.1016185353576046], {20, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {20, - 28} -> Complex[-0.14528807272467686`, \ --0.1963794168890443], {20, 29} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {20, - 30} -> Complex[-0.041305971633540155`, \ --0.0475059953974924], {20, 31} -> - Complex[0.09493687473979212, -0.05333192476596154], {20, - 32} -> Complex[-0.24139750211906025`, - 0.17856311543581216`], {20, 33} -> - Complex[0.20846784571655388`, 0.1346840497441242], {20, - 34} -> Complex[-0.1606002091580235, - 0.04277649306205672], {20, 35} -> - Complex[0.020304980203947276`, -0.2448019195395177], {20, - 36} -> Complex[ - 0.2104118170864423, 0.16206552873281407`], {21, 22} -> - Complex[0.349552824256183, 0.], {21, 23} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], { - 21, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {21, - 25} -> Complex[0.09504874694484183, 0.252921972711526], { + 0.03975514319435934, -0.05151250369655895], {21, 25} -> + Complex[0.14683816981476766`, -0.034502058514711414`], { 21, 26} -> - Complex[0.029111053747052022`, 0.03092252970487717], {21, - 27} -> Complex[-0.13187039110424337`, - 0.05577367679001426], {21, 28} -> - Complex[-0.16219964087949312`, -0.23052958058187878`], { - 21, 29} -> - Complex[-0.3170629158392618, -0.07863950467973177], {21, - 30} -> Complex[-0.02849651545902821, \ --0.13038883546342855`], {21, 31} -> - Complex[0.01768967427913295, -0.07030539787536907], {21, - 32} -> Complex[-0.27597397639459753`, - 0.2023899803882464], {21, 33} -> - Complex[0.27720818247658857`, 0.1557462430493763], {21, - 34} -> Complex[-0.10985803268384983`, - 0.010763626429992096`], {21, 35} -> - Complex[0.07950629072406969, -0.15112987613524487`], {21, - 36} -> Complex[ - 0.15935941360240716`, 0.2513470741842914], {22, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {22, - 24} -> Complex[-0.055024457915968744`, - 0.00875520102328074], {22, 25} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {22, - 26} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {22, - 27} -> Complex[-0.11316770831298564`, - 0.08944943686956167], {22, 28} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {22, - 29} -> Complex[-0.07025866437087314, - 0.18394307455842968`], {22, 30} -> - Complex[-0.218113151712259, -0.025091517498334166`], {22, - 31} -> Complex[-0.00498052152715275, - 0.08042658142468531], {22, 32} -> - Complex[0.06561103865616492, 0.04037752804772983], {22, - 33} -> Complex[ - 0.12372341411859573`, -0.16477324944202285`], {22, 34} -> - Complex[0.0896129289093057, 0.08670073786995046], {22, - 35} -> Complex[ - 0.1862561519544158, -0.11528023790296092`], {22, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {23, - 24} -> Complex[0.3248309079027546, 0.], {23, 25} -> - Complex[-0.005254583355195047, 0.07911629825938535], {23, - 26} -> Complex[-0.18045658269343973`, - 0.06407563305713601], {23, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {23, - 28} -> Complex[0.04387227616028566, -0.169253767952832], { - 23, 29} -> - Complex[0.015573345706232422`, -0.33611710368003506`], { - 23, 30} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {23, - 31} -> Complex[ - 0.11263046571451424`, 0.15943812713557814`], {23, 32} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {23, - 33} -> Complex[-0.08996062722681389, 0.04963088270675587], - {23, 34} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], { - 23, 35} -> - Complex[0.054818062753627404`, -0.18407880112585107`], { - 23, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {24, - 25} -> Complex[-0.1376685276414912, 0.017279120496164], { - 24, 26} -> - Complex[-0.017700618374932788`, 0.229189990199907], {24, + Complex[-0.021450925664317888`, 0.20231262751067364`], { + 21, 27} -> + Complex[0.05755533995669046, 0.07401317879009213], {21, + 28} -> Complex[ + 0.16980607400071762`, 0.0009413154054021405], {21, 29} -> + Complex[0.10046002901967245`, 0.19478861449336152`], {21, + 30} -> Complex[-0.0832461030605116, + 0.0007900461969849934], {21, 31} -> + Complex[0.014982384821209789`, 0.13663234668804805`], {21, + 32} -> Complex[-0.1353776277549702, + 0.09474310902835915], {22, 23} -> + Complex[0.06842480050902869, 0.15505501766299976`], {22, + 24} -> Complex[-0.08930473416931554, + 0.007048096041707605], {22, 25} -> + Complex[-0.11348480027122035`, -0.34468442336798244`], { + 22, 26} -> + Complex[0.23530920684103981`, 0.0909192260612194], {22, 27} -> Complex[ - 0.19742335371429923`, 0.09763016245015396], {24, 28} -> - Complex[0.19754043867481771`, 0.06710821743420367], {24, - 29} -> Complex[-0.03694461851812731, \ --0.11992171449363792`], {24, 30} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {24, + 0.11084673340471671`, -0.07367368444009487], {22, 28} -> + Complex[0.1668226451310518, -0.2990474561368582], {22, + 29} -> Complex[ + 0.09392733334800707, -0.23700943627758006`], {22, 30} -> + Complex[0.012301908189476976`, 0.29819031736230395`], {22, + 31} -> Complex[ + 0.036746036528397724`, -0.11894266930455437`], {22, 32} -> + Complex[0.2806974213994702, 0.046546994330126934`], {23, + 24} -> Complex[0.135726527386378, 0.], {23, 25} -> + Complex[0.06308937077219877, 0.16425756045192152`], {23, + 26} -> Complex[-0.07482735080148525, \ +-0.01554709808796357], {23, 27} -> + Complex[-0.05062234940479168, -0.059412074076411546`], { + 23, 28} -> + Complex[-0.0964564876770649, 0.04387994353782962], {23, + 29} -> Complex[-0.06778091820891004, + 0.11263382211139406`], {23, 30} -> + Complex[0.06550651054263391, -0.09165221630004965], {23, 31} -> Complex[ - 0.20153478327455962`, -0.091416725802769], {24, 32} -> - Complex[0.03210691866533716, -0.25866941133955584`], {24, - 33} -> Complex[-0.26044059541670533`, - 0.05145411756901592], {24, 34} -> - Complex[-0.06287334385176857, 0.039875195608224154`], {24, - 35} -> - Complex[-0.25377338518228143`, 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Complex[-0.09078438719781487, -0.08387695970470208], {8, 27} -> - Complex[0.020907170696056646`, -0.009826517437731715], {8, 28} -> - Complex[0.32107941916226146`, 0.09232207202497354], {8, 29} -> - Complex[0.5500421302238756, 0.], {8, 30} -> - Complex[-0.015725352039344952`, 0.1534965717731505], {8, 31} -> - Complex[-0.08951618372581999, 0.1398945044720049], {8, 32} -> - Complex[0.11313471290638971`, -0.0906083646195344], {8, 33} -> - Complex[-0.25897033958870125`, -0.2062898932256956], {8, 34} -> - Complex[0.09671382069915349, -0.31356085339344003`], {8, 35} -> - Complex[-0.006051982269297387, 0.008414767951100507], {8, 36} -> - Complex[-0.21414311351504042`, -0.06573453711443833], {9, 10} -> - Complex[0.4666612200115955, 0.], {9, 11} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, 12} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, 13} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, 14} -> - Complex[0.04387227616028566, 0.169253767952832], {9, 15} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, 16} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {9, 17} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {9, 18} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, 19} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {9, 20} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, 21} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, 22} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {9, 23} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, 24} -> - Complex[0.04387227616028566, 0.169253767952832], {9, 25} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, 26} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, 27} -> - Complex[0.10214442350629199`, -0.026260413784740505`], {9, 28} -> - Complex[0.4666612200115955, 0.], {9, 29} -> - Complex[0.32107941916226146`, -0.09232207202497354], {9, 30} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {9, 31} -> - Complex[0.10082205206266875`, -0.054783259519745345`], {9, 32} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {9, 33} -> - Complex[-0.2841944960267362, 0.0881056163125139], {9, 34} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {9, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {9, 36} -> - Complex[-0.45453234415494154`, -0.154590481023119], {10, 11} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {10, 12} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, 13} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, 14} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, 15} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, 16} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, 17} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, 18} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, 19} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, 20} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, 21} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, 22} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, 23} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, 24} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, 25} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {10, 26} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, 27} -> - Complex[0.33314595779251727`, 0.], {10, 28} -> - Complex[0.10214442350629199`, 0.026260413784740505`], {10, 29} -> - Complex[0.020907170696056646`, 0.009826517437731715], {10, 30} -> - Complex[0.22196866627101539`, 0.20220472842758744`], {10, 31} -> - Complex[0.05541102122851009, -0.15479143125784764`], {10, 32} -> - Complex[0.18344402773596857`, -0.12440237009032867`], {10, 33} -> - Complex[-0.2521578356402413, -0.01333219816254436], {10, 34} -> - Complex[-0.09116148563358083, 0.08672925004639812], {10, 35} -> - Complex[-0.5009225822231967, 0.03036622844279574], {10, 36} -> - Complex[-0.1821537065194496, -0.1809373735116714], {11, 12} -> - Complex[0.2638704815566899, 0.], {11, 13} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, 14} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {11, 15} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {11, 16} -> - Complex[0.029111053747052022`, -0.03092252970487717], {11, 17} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, 18} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {11, 19} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {11, 20} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {11, 21} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {11, 22} -> - Complex[0.029111053747052022`, -0.03092252970487717], {11, 23} -> - Complex[-0.017700618374932788`, -0.229189990199907], {11, 24} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {11, 25} -> - Complex[0.03589005743520234, -0.010244248183710654`], {11, 26} -> - Complex[0.2638704815566899, 0.], {11, 27} -> - Complex[0.14020706236902425`, -0.157106453123418], {11, 28} -> - Complex[-0.002703366170010074, -0.1342165202528226], {11, 29} -> - Complex[-0.09078438719781487, 0.08387695970470208], {11, 30} -> - Complex[0.2158761295291703, -0.079839801475396], {11, 31} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], {11, 32} -> - Complex[-0.05197448003562596, -0.034035129192128775`], {11, 33} -> - Complex[0.07182371169440027, 0.13961968957305576`], {11, 34} -> - Complex[0.03971739520512007, 0.01279589611612527], {11, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {11, 36} -> - Complex[-0.28325062776683585`, 0.15967643343543628`], {12, 13} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, 14} -> - Complex[-0.005254583355195047, -0.07911629825938535], {12, 15} -> - Complex[-0.016434880239505067`, -0.02799549139813756], {12, 16} -> - Complex[0.09504874694484183, -0.252921972711526], {12, 17} -> - Complex[0.08241113354082491, -0.24960895170610842`], {12, 18} -> - Complex[-0.004104217599466588, 0.09920939692115077], {12, 19} -> - Complex[0.08241113354082491, -0.24960895170610842`], {12, 20} -> - Complex[-0.004104217599466588, 0.09920939692115077], {12, 21} -> - Complex[-0.016434880239505067`, -0.02799549139813756], {12, 22} -> - Complex[0.09504874694484183, -0.252921972711526], {12, 23} -> - Complex[-0.1376685276414912, -0.017279120496164], {12, 24} -> - Complex[-0.005254583355195047, -0.07911629825938535], {12, 25} -> - Complex[0.35884454526493437`, 0.], {12, 26} -> - Complex[0.03589005743520234, 0.010244248183710654`], {12, 27} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {12, 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {12, 29} -> - Complex[0.017491034151456156`, 0.1422934683362202], {12, 30} -> - Complex[-0.07072413917244547, 0.06080711260518379], {12, 31} -> - Complex[-0.06540345886434173, -0.03247283136099954], {12, 32} -> - Complex[0.04881033618836923, 0.3767537051917446], {12, 33} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {12, 34} -> - Complex[-0.07901145315910152, -0.12060096224364471`], {12, 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {12, 36} -> - Complex[0.12697363466636613`, 0.017287640275502197`], {13, 14} -> - Complex[0.3248309079027546, 0.], {13, 15} -> - Complex[-0.055024457915968744`, -0.00875520102328074], {13, 16} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, 17} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, 18} -> - Complex[0.039373147369999854`, -0.022673347542931065`], {13, 19} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, 20} -> - Complex[0.039373147369999854`, -0.022673347542931065`], {13, 21} -> - Complex[-0.055024457915968744`, -0.00875520102328074], {13, 22} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, 23} -> - Complex[0.06998304089724083, 0.09262495833114717], {13, 24} -> - Complex[0.3248309079027546, 0.], {13, 25} -> - Complex[-0.005254583355195047, 0.07911629825938535], {13, 26} -> - Complex[-0.18045658269343973`, 0.06407563305713601], {13, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {13, 28} -> - Complex[0.04387227616028566, -0.169253767952832], {13, 29} -> - Complex[0.015573345706232422`, -0.33611710368003506`], {13, 30} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {13, 31} -> - Complex[0.11263046571451424`, 0.15943812713557814`], {13, 32} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {13, 33} -> - Complex[-0.08996062722681389, 0.04963088270675587], {13, 34} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], {13, 35} -> - Complex[0.054818062753627404`, -0.18407880112585107`], {13, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {14, 15} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, 16} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], {14, 17} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, 18} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], {14, 19} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, 20} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], {14, 21} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, 22} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], {14, 23} -> - Complex[0.35279363941541053`, 0.], {14, 24} -> - Complex[0.06998304089724083, -0.09262495833114717], {14, 25} -> - Complex[-0.1376685276414912, 0.017279120496164], {14, 26} -> - Complex[-0.017700618374932788`, 0.229189990199907], {14, 27} -> - Complex[0.19742335371429923`, 0.09763016245015396], {14, 28} -> - Complex[0.19754043867481771`, 0.06710821743420367], {14, 29} -> - Complex[-0.03694461851812731, -0.11992171449363792`], {14, 30} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {14, 31} -> - Complex[0.20153478327455962`, -0.091416725802769], {14, 32} -> - Complex[0.03210691866533716, -0.25866941133955584`], {14, 33} -> - Complex[-0.26044059541670533`, 0.05145411756901592], {14, 34} -> - Complex[-0.06287334385176857, 0.039875195608224154`], {14, 35} -> - Complex[-0.25377338518228143`, -0.22696868263028766`], {14, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], {15, 16} -> - Complex[0.349552824256183, 0.], {15, 17} -> - Complex[0.3520451599439639, -0.006012121161366684], {15, 18} -> - Complex[0.008173587051180226, 0.09795082074318642], {15, 19} -> - Complex[0.3520451599439639, -0.006012121161366684], {15, 20} -> - Complex[0.008173587051180226, 0.09795082074318642], {15, 21} -> - Complex[0.0018678498053481644`, 0.11355320674819902`], {15, 22} -> - Complex[0.349552824256183, 0.], {15, 23} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], {15, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {15, 25} -> - Complex[0.09504874694484183, 0.252921972711526], {15, 26} -> - Complex[0.029111053747052022`, 0.03092252970487717], {15, 27} -> - Complex[-0.13187039110424337`, 0.05577367679001426], {15, 28} -> - Complex[-0.16219964087949312`, -0.23052958058187878`], {15, 29} -> - Complex[-0.3170629158392618, -0.07863950467973177], {15, 30} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {15, 31} -> - Complex[0.01768967427913295, -0.07030539787536907], {15, 32} -> - Complex[-0.27597397639459753`, 0.2023899803882464], {15, 33} -> - Complex[0.27720818247658857`, 0.1557462430493763], {15, 34} -> - Complex[-0.10985803268384983`, 0.010763626429992096`], {15, 35} -> - Complex[0.07950629072406969, -0.15112987613524487`], {15, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {16, 17} -> - Complex[0.012115526439909248`, -0.07586465949937707], {16, 18} -> - Complex[0.14452293041969513`, -0.1105782258057243], {16, 19} -> - Complex[0.012115526439909248`, -0.07586465949937707], {16, 20} -> - Complex[0.14452293041969513`, -0.1105782258057243], {16, 21} -> - Complex[0.18939927318289235`, 0.], {16, 22} -> - Complex[0.0018678498053481644`, -0.11355320674819902`], {16, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {16, 24} -> - Complex[-0.055024457915968744`, 0.00875520102328074], {16, 25} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {16, 26} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {16, 27} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {16, 28} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {16, 29} -> - Complex[-0.07025866437087314, 0.18394307455842968`], {16, 30} -> - Complex[-0.218113151712259, -0.025091517498334166`], {16, 31} -> - Complex[-0.00498052152715275, 0.08042658142468531], {16, 32} -> - Complex[0.06561103865616492, 0.04037752804772983], {16, 33} -> - Complex[0.12372341411859573`, -0.16477324944202285`], {16, 34} -> - Complex[0.0896129289093057, 0.08670073786995046], {16, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {16, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {17, 18} -> - Complex[0.27470470789916873`, 0.], {17, 19} -> - Complex[0.007773728117029734, -0.02423539675981027], {17, 20} -> - Complex[0.27470470789916873`, 0.], {17, 21} -> - Complex[0.14452293041969513`, 0.1105782258057243], {17, 22} -> - Complex[0.008173587051180226, -0.09795082074318642], {17, 23} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {17, 24} -> - Complex[0.039373147369999854`, 0.022673347542931065`], {17, 25} -> - Complex[-0.004104217599466588, -0.09920939692115077], {17, 26} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], {17, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {17, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {17, 29} -> - Complex[-0.06511122587857304, 0.01569343622580683], {17, 30} -> - Complex[-0.19090563198557167`, -0.11085568682814102`], {17, 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1]], ",", InterpretationBox[ SubscriptBox["c", @@ -20339,13 +20603,14 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc $CellContext`c[1, 1, 1]], ",", InterpretationBox[ SubscriptBox["c", + TemplateBox[{",", "\",\"", "1", "3", "1"}, "RowWithSeparators"]], $CellContext`c[1, 3, 1]]}], "}"}], "SummaryItem"]}]}, { - RowBox[{ - TagBox["\"Transformations: \"", "SummaryItemAnnotation"], - "\[InvisibleSpace]", - TagBox[ + RowBox[{ + TagBox["\"Transformations: \"", "SummaryItemAnnotation"], + "\[InvisibleSpace]", + TagBox[ InterpretationBox[ RowBox[{ TagBox["NambuTransforms", "SummaryHead"], "[", @@ -20447,18 +20712,17 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmTKr6z 28B155YX9jfcl6+rmfbW/mRE7r/4r+9HzSEgDgDactH8 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], - RGBColor[0.368417, 0.506779, 0.709798]], - FrameTicks -> {{None, None}, {None, None}}, - GridLinesStyle -> Directive[ + RGBColor[0.368417, 0.506779, 0.709798]], FrameTicks -> {{ + None, None}, {None, None}}, GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -20508,8 +20772,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmTKr6z 28B155YX9jfcl6+rmfbW/mRE7r/4r+9HzSEgDgDactH8 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -20517,9 +20781,9 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -20597,8 +20861,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Column"], "SummaryItem"]}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, - AutoDelete -> False, GridBoxItemSize -> { - "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, + AutoDelete -> False, GridBoxItemSize -> {"Columns" -> {{ + Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> {"Columns" -> {{2}}, "Rows" -> {{ Automatic}}}, BaseStyle -> {ShowStringCharacters -> False, NumberMarks -> False, PrintPrecision -> 3, @@ -20635,8 +20899,8 @@ oPJG5VllYNcsmZ0T3xvH2Bz06EeexVjoiwEx/gcdwHoc 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmPitNH HACo2sx4 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -20644,9 +20908,9 @@ HACo2sx4 GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -20696,8 +20960,8 @@ HACo2sx4 1:eJxTTMoPSmVmYGBggWIQ26p8d9wspXP2c4wXbTH/ccX+xSLFx4GrXtmPitNH HACo2sx4 "], {{0, 0}, {4, 4}}, {0, 1}], AspectRatio -> 1, Axes -> - False, AxesStyle -> {}, Frame -> False, - FrameLabel -> {None, None}, FrameStyle -> Directive[ + False, AxesStyle -> {}, Frame -> False, FrameLabel -> { + None, None}, FrameStyle -> Directive[ Opacity[0.5], Thickness[Tiny], RGBColor[0.368417, 0.506779, 0.709798]], @@ -20705,9 +20969,9 @@ HACo2sx4 GridLinesStyle -> Directive[ GrayLevel[0.5, 0.4]], ImageSize -> Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ - AbsoluteCurrentValue[Magnification])}], - Method -> {"GridLinesInFront" -> True, "AxisPadding" -> - Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, + AbsoluteCurrentValue[Magnification])}], Method -> { + "GridLinesInFront" -> True, "AxisPadding" -> Scaled[0.02], + "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> {"Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> { @@ -20831,71 +21095,67 @@ HACo2sx4 RowBox[{"(", "\[NoBreak]", GridBox[{{ RowBox[{ - RowBox[{"0.32545613852497657`", "\[VeryThinSpace]"}], "-", - RowBox[{"0.10568804847511024`", " ", "\[ImaginaryI]"}]}], - + RowBox[{"-", "0.17155515501526808`"}], "-", + RowBox[{"0.1668433676200188`", " ", "\[ImaginaryI]"}]}], RowBox[{ - RowBox[{"0.1841226407340772`", "\[VeryThinSpace]"}], "+", - - RowBox[{"0.4644210067398907`", " ", "\[ImaginaryI]"}]}], + RowBox[{"-", "0.170252855457886`"}], "+", + RowBox[{"0.5929143152866506`", " ", "\[ImaginaryI]"}]}], RowBox[{ - RowBox[{"0.13232155584348976`", "\[VeryThinSpace]"}], "+", - RowBox[{"0.2865643065030182`", " ", "\[ImaginaryI]"}]}], + RowBox[{"-", "0.09765512477307971`"}], "+", + RowBox[{"0.4821278045577343`", " ", "\[ImaginaryI]"}]}], RowBox[{ - RowBox[{"0.04989518370504925`", "\[VeryThinSpace]"}], "-", + RowBox[{"-", "0.3321153074230299`"}], "+", - RowBox[{"0.18665208741165829`", " ", + RowBox[{"0.08529521259109195`", " ", "\[ImaginaryI]"}]}]}, { RowBox[{ - RowBox[{"-", "0.2177440230289007`"}], "+", - RowBox[{"0.19081348483555569`", " ", "\[ImaginaryI]"}]}], - + RowBox[{"0.26087816486149346`", "\[VeryThinSpace]"}], "+", + RowBox[{"0.0990678397300458`", " ", "\[ImaginaryI]"}]}], RowBox[{ - 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RowBox[{"0.2164381899402133`", "\[VeryThinSpace]"}], "+", - RowBox[{"0.24689970637134065`", " ", "\[ImaginaryI]"}]}], + RowBox[{"0.10475546594628066`", " ", "\[ImaginaryI]"}]}], RowBox[{ - RowBox[{"-", "0.2178460929220627`"}], "+", - RowBox[{"0.37230336936926456`", " ", "\[ImaginaryI]"}]}], + RowBox[{"-", "0.15542806838891102`"}], "-", + RowBox[{"0.18736333841965136`", " ", "\[ImaginaryI]"}]}], RowBox[{ - RowBox[{"0.01794957121250989`", "\[VeryThinSpace]"}], "-", + RowBox[{"0.20884637286329358`", "\[VeryThinSpace]"}], "+", - RowBox[{"0.06488431142349256`", " ", + RowBox[{"0.21130569095791318`", " ", "\[ImaginaryI]"}]}]}}, RowSpacings -> 1, ColumnSpacings -> 1, RowAlignments -> Baseline, ColumnAlignments -> Center], "\[NoBreak]", ")"}], @@ -20914,22 +21174,22 @@ HACo2sx4 "Rows" -> {{Automatic}}}, BaselinePosition -> {1, 1}]}, Dynamic[Typeset`open$$], ImageSize -> Automatic]}, "SummaryPanel"], DynamicModuleValues :> {}], "]"}], {{ - Complex[0.32545613852497657`, -0.10568804847511024`], - 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Complex[-0.3321153074230299, 0.08529521259109195]}, { + Complex[0.26087816486149346`, 0.0990678397300458], + Complex[-0.1155593441422779, -0.21758525809340024`], + Complex[0.15997502039138747`, 0.45412395229305985`], + Complex[0.05414107306339943, 0.4654542081480549]}, { + Complex[0.0849977723487516, -0.050619564618048216`], + Complex[0.1779267532833169, -0.06328474026888557], + Complex[0.041529635493553665`, 0.04384495661492694], + Complex[-0.22960070013040348`, -0.517265640316276]}, { + Complex[0.13345654399049448`, -0.3394056109951674], + Complex[0.2164381899402133, 0.10475546594628066`], + Complex[-0.15542806838891102`, -0.18736333841965136`], + Complex[0.20884637286329358`, 0.21130569095791318`]}}, Selectable -> False, Editable -> False, SelectWithContents -> True], ",", InterpretationBox[ @@ -20961,16 +21221,15 @@ HACo2sx4 TagBox[ RowBox[{"{", RowBox[{"4", ",", "4"}], "}"}], "SummaryItem"]}]}}, - GridBoxAlignment -> {"Columns" -> {{Left}}, - "Rows" -> {{Automatic}}}, AutoDelete 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Complex[0.05755533995669046, -0.07401317879009213], {5, + 13} -> Complex[ + 0.005055667009208006, 0.1278205163933677], {5, 14} -> + Complex[0.019232961701569087`, -0.07895370068527609], {5, 15} -> Complex[ - 0.27720818247658857`, -0.1557462430493763], {4, 16} -> - Complex[0.12372341411859573`, 0.16477324944202285`], {4, - 17} -> Complex[0.09968546178967824, 0.1683352007294286], { - 4, 18} -> Complex[ - 0.20846784571655388`, -0.1346840497441242], {4, 19} -> - Complex[0.09968546178967824, 0.1683352007294286], {4, 20} -> - Complex[0.20846784571655388`, -0.1346840497441242], {4, + 0.0703816300525041, -0.09831495930430345], {5, 16} -> + Complex[0.05526746191692408, 0.16679705600024786`], {5, + 17} -> Complex[ + 0.0703816300525041, -0.09831495930430345], {5, 18} -> + Complex[0.05526746191692408, 0.16679705600024786`], {5, + 19} -> Complex[ + 0.005055667009208006, 0.1278205163933677], {5, 20} -> + Complex[0.019232961701569087`, -0.07895370068527609], {5, 21} -> Complex[ - 0.27720818247658857`, -0.1557462430493763], {4, 22} -> - Complex[0.12372341411859573`, 0.16477324944202285`], {4, - 23} -> Complex[-0.26044059541670533`, \ --0.05145411756901592], {4, 24} -> - Complex[-0.08996062722681389, -0.04963088270675587], {4, - 25} -> Complex[ - 0.07182371169440027, -0.13961968957305576`], {4, 26} -> - Complex[0.15643971909026363`, 0.21034493673282548`], {4, - 27} -> Complex[-0.2521578356402413, - 0.01333219816254436], {4, 28} -> - Complex[-0.2841944960267362, -0.0881056163125139], {4, - 29} -> Complex[-0.17507327039387915`, \ --0.2690120226571733], {4, 30} -> - Complex[-0.25897033958870125`, 0.2062898932256956], {4, - 31} -> Complex[-0.18704231819170578`, - 0.30182786908398773`], {4, 32} -> - Complex[-0.13144217108963616`, -0.08045040304054488], {4, - 33} -> Complex[0.503636307020737, 0.], {4, 34} -> - Complex[0.10920936073748258`, -0.03308934997069378], {4, - 35} -> Complex[ - 0.32545613852497657`, -0.10568804847511024`], {4, 36} -> - Complex[0.13232155584348976`, 0.2865643065030182], {5, 6} -> - Complex[0.3055029437591038, 0.], {5, 7} -> - Complex[-0.011194174176657017`, 0.18050668434763023`], {5, - 8} -> Complex[-0.08951618372581999, \ --0.1398945044720049], {5, 9} -> - Complex[0.05541102122851009, 0.15479143125784764`], {5, - 10} -> Complex[ - 0.10082205206266875`, 0.054783259519745345`], {5, 11} -> - Complex[-0.10297491838992004`, 0.24585233281751626`], {5, - 12} -> Complex[-0.06540345886434173, - 0.03247283136099954], {5, 13} -> - Complex[0.20153478327455962`, 0.091416725802769], {5, 14} -> - Complex[0.11263046571451424`, -0.15943812713557814`], {5, + 0.11084673340471671`, 0.07367368444009487], {5, 22} -> + Complex[0.05755533995669046, -0.07401317879009213], {5, + 23} -> Complex[-0.05565875071499052, + 0.09437594864128791], {5, 24} -> + Complex[-0.05062234940479168, 0.059412074076411546`], {5, + 25} -> Complex[-0.04788255890923551, \ +-0.12484288796949913`], {5, 26} -> + Complex[0.17363309069570285`, 0.1403167246372976], {5, + 27} -> Complex[ + 0.1366899433196731, -0.22179319605394876`], {5, 28} -> + Complex[0.20263910536773755`, 0.], {5, 29} -> + Complex[-0.05442442802981293, 0.14858688449114604`], {5, + 30} -> Complex[ + 0.19808970731622894`, -0.005640195231622968], {5, 31} -> + Complex[-0.21598365653956714`, 0.09400730406176475], {5, + 32} -> Complex[ + 0.13546634634545274`, 0.19241450807239194`], {6, 7} -> + Complex[0.28259964162527906`, -0.4055803745838325], {6, + 8} -> Complex[-0.14372193892286123`, + 0.45619687405618636`], {6, 9} -> + Complex[-0.31513742950926715`, 0.04912752076041336], {6, + 10} -> Complex[-0.0964564876770649, \ +-0.04387994353782962], {6, 11} -> + Complex[0.1668226451310518, 0.2990474561368582], {6, 12} -> + Complex[0.16980607400071762`, -0.0009413154054021405], {6, + 13} -> Complex[ + 0.07063495593763104, 0.18915546654520524`], {6, 14} -> + Complex[-0.1475728871036449, -0.14922079251460418`], {6, 15} -> Complex[ - 0.01768967427913295, 0.07030539787536907], {5, 16} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, - 17} -> Complex[-0.0863909413535702, \ --0.18155756040588286`], {5, 18} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, - 19} -> Complex[-0.0863909413535702, \ --0.18155756040588286`], {5, 20} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, + 0.23396340114239164`, -0.14836338195316717`], {6, 16} -> + Complex[-0.14277268958862907`, 0.2479052297980392], {6, + 17} -> Complex[ + 0.23396340114239164`, -0.14836338195316717`], {6, 18} -> + Complex[-0.14277268958862907`, 0.2479052297980392], {6, + 19} -> Complex[ + 0.07063495593763104, 0.18915546654520524`], {6, 20} -> + Complex[-0.1475728871036449, -0.14922079251460418`], {6, + 21} -> Complex[0.1668226451310518, 0.2990474561368582], { + 6, 22} -> Complex[ + 0.16980607400071762`, -0.0009413154054021405], {6, 23} -> + Complex[-0.31513742950926715`, 0.04912752076041336], {6, + 24} -> Complex[-0.0964564876770649, \ +-0.04387994353782962], {6, 25} -> + Complex[0.28259964162527906`, -0.4055803745838325], {6, + 26} -> Complex[-0.14372193892286123`, + 0.45619687405618636`], {6, 27} -> + Complex[0.7973608946322628, 0.], {6, 28} -> + Complex[0.1366899433196731, 0.22179319605394876`], {6, + 29} -> Complex[-0.2333099993372808, 0.2271710392758403], { + 6, 30} -> Complex[ + 0.05442442802981287, 0.14858688449114604`], {6, 31} -> + Complex[-0.17155515501526808`, -0.1668433676200188], {6, + 32} -> Complex[-0.09765512477307971, + 0.4821278045577343], {7, 8} -> + Complex[0.44279991664860185`, 0.], {7, 9} -> + Complex[0.22912253169347, 0.25555554669124914`], {7, 10} -> + Complex[-0.07482735080148525, 0.01554709808796357], {7, + 11} -> Complex[ + 0.23530920684103981`, -0.0909192260612194], {7, 12} -> + Complex[-0.021450925664317888`, -0.20231262751067364`], { + 7, 13} -> Complex[ + 0.022865123054102737`, -0.04960709547698468], {7, 14} -> + Complex[0.08074598001208205, 0.08855457473741418], {7, + 15} -> Complex[-0.06038101273760845, \ +-0.13919179950515956`], {7, 16} -> + Complex[0.2559730175620584, 0.12078716288411598`], {7, + 17} -> Complex[-0.06038101273760845, \ +-0.13919179950515956`], {7, 18} -> + Complex[0.2559730175620584, 0.12078716288411598`], {7, + 19} -> Complex[ + 0.022865123054102737`, -0.04960709547698468], {7, 20} -> + Complex[0.08074598001208205, 0.08855457473741418], {7, 21} -> Complex[ - 0.01768967427913295, 0.07030539787536907], {5, 22} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, - 23} -> Complex[0.20153478327455962`, 0.091416725802769], { - 5, 24} -> Complex[ - 0.11263046571451424`, -0.15943812713557814`], {5, 25} -> - Complex[-0.10297491838992004`, 0.24585233281751626`], {5, - 26} -> Complex[-0.06540345886434173, - 0.03247283136099954], {5, 27} -> - Complex[0.05541102122851009, 0.15479143125784764`], {5, - 28} -> Complex[ - 0.10082205206266875`, 0.054783259519745345`], {5, 29} -> - Complex[-0.011194174176657017`, 0.18050668434763023`], {5, - 30} -> - Complex[-0.08951618372581999, -0.1398945044720049], {5, - 31} -> Complex[ - 0.05957085045120364, -0.0686364172150267], {5, 32} -> - Complex[0.3055029437591038, 0.], {5, 33} -> - Complex[-0.13144217108963616`, 0.08045040304054488], {5, - 34} -> Complex[ - 0.02410019796458368, 0.07846271521707039], {5, 35} -> - Complex[0.0692138138097684, -0.20164942303248495`], {5, - 36} -> Complex[-0.0838892214676934, \ --0.35906971113552444`], {6, 7} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, - 8} -> Complex[0.11313471290638971`, 0.0906083646195344], { - 6, 9} -> Complex[ - 0.18344402773596857`, 0.12440237009032867`], {6, 10} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {6, - 11} -> Complex[-0.05197448003562596, - 0.034035129192128775`], {6, 12} -> - Complex[0.04881033618836923, -0.3767537051917446], {6, - 13} -> Complex[ - 0.03210691866533716, 0.25866941133955584`], {6, 14} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {6, - 15} -> Complex[-0.27597397639459753`, \ --0.2023899803882464], {6, 16} -> - Complex[0.06561103865616492, -0.04037752804772983], {6, - 17} -> Complex[0.1302477399556314, -0.104114370134477], { - 6, 18} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, - 19} -> Complex[0.1302477399556314, -0.104114370134477], { - 6, 20} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, - 21} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {6, - 22} -> Complex[ - 0.06561103865616492, -0.04037752804772983], {6, 23} -> - Complex[0.03210691866533716, 0.25866941133955584`], {6, - 24} -> Complex[-0.1091396557759862, \ --0.054766912594803374`], {6, 25} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {6, - 26} -> Complex[ - 0.04881033618836923, -0.3767537051917446], {6, 27} -> - Complex[0.18344402773596857`, 0.12440237009032867`], {6, - 28} -> Complex[-0.10668413246766638`, - 0.2594729794590618], {6, 29} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, + 0.23530920684103981`, -0.0909192260612194], {7, 22} -> + Complex[-0.021450925664317888`, -0.20231262751067364`], { + 7, 23} -> Complex[ + 0.22912253169347, 0.25555554669124914`], {7, 24} -> + Complex[-0.07482735080148525, 0.01554709808796357], {7, + 25} -> Complex[-0.25986751190259594`, \ +-0.19937008578078047`], {7, 26} -> Complex[0.44279991664860185`, 0.], {7, 27} -> + Complex[-0.14372193892286123`, -0.45619687405618636`], {7, + 28} -> Complex[ + 0.17363309069570285`, -0.1403167246372976], {7, 29} -> + Complex[0.10734135762637748`, 0.19617830350078105`], {7, 30} -> Complex[ - 0.11313471290638971`, 0.0906083646195344], {6, 31} -> - Complex[0.5058138015078811, 0.], {6, 32} -> - Complex[0.05957085045120364, 0.0686364172150267], {6, 33} -> - Complex[-0.18704231819170578`, -0.30182786908398773`], {6, - 34} -> Complex[-0.06621032034440741, - 0.10280421447880453`], {6, 35} -> - Complex[-0.17262974874231735`, -0.03825515355084523], {6, - 36} -> Complex[ - 0.07140571807962026, -0.3254707548282041], {7, 8} -> - Complex[0.5500421302238756, 0.], {7, 9} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, + 0.26723944870955263`, -0.18013517883484725`], {7, 31} -> + Complex[0.040650102227546676`, 0.037686955531505785`], {7, + 32} -> Complex[ + 0.26488016647622287`, 0.03177814393460615], {8, 9} -> + Complex[-0.18321791222949194`, 0.035808072295513985`], {8, 10} -> Complex[ - 0.32107941916226146`, 0.09232207202497354], {7, 11} -> - Complex[-0.09078438719781487, -0.08387695970470208], {7, + 0.06308937077219877, -0.16425756045192152`], {8, 11} -> + Complex[-0.11348480027122035`, 0.34468442336798244`], {8, 12} -> Complex[ - 0.017491034151456156`, -0.1422934683362202], {7, 13} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {7, + 0.14683816981476766`, 0.034502058514711414`], {8, 13} -> + Complex[-0.05181977912767945, 0.037809566636026526`], {8, 14} -> Complex[ - 0.015573345706232422`, 0.33611710368003506`], {7, 15} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, - 16} -> Complex[-0.07025866437087314, \ --0.18394307455842968`], {7, 17} -> - Complex[-0.06511122587857304, -0.01569343622580683], {7, - 18} -> Complex[-0.3429240772478055, - 0.12113458402956634`], {7, 19} -> - Complex[-0.06511122587857304, -0.01569343622580683], {7, - 20} -> Complex[-0.3429240772478055, - 0.12113458402956634`], {7, 21} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, - 22} -> Complex[-0.07025866437087314, \ --0.18394307455842968`], {7, 23} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {7, - 24} -> Complex[ - 0.015573345706232422`, 0.33611710368003506`], {7, 25} -> - Complex[-0.09078438719781487, -0.08387695970470208], {7, - 26} -> Complex[ - 0.017491034151456156`, -0.1422934683362202], {7, 27} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, - 28} -> Complex[ - 0.32107941916226146`, 0.09232207202497354], {7, 29} -> - Complex[-0.015725352039344952`, 0.1534965717731505], {7, - 30} -> Complex[0.5500421302238756, 0.], {7, 31} -> - Complex[0.11313471290638971`, -0.0906083646195344], {7, - 32} -> Complex[-0.08951618372581999, - 0.1398945044720049], {7, 33} -> - Complex[-0.25897033958870125`, -0.2062898932256956], {7, - 34} -> Complex[ - 0.09671382069915349, -0.31356085339344003`], {7, 35} -> - Complex[-0.006051982269297387, 0.008414767951100507], {7, - 36} -> Complex[-0.21414311351504042`, \ --0.06573453711443833], {8, 9} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {8, - 10} -> Complex[ - 0.13690201400056437`, -0.21116370706323376`], {8, 11} -> - Complex[0.2158761295291703, 0.079839801475396], {8, 12} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, - 13} -> Complex[ - 0.10074068312316217`, -0.24982130549270182`], {8, 14} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, - 15} -> Complex[-0.02849651545902821, - 0.13038883546342855`], {8, 16} -> - Complex[-0.218113151712259, 0.025091517498334166`], {8, - 17} -> Complex[-0.19090563198557167`, - 0.11085568682814102`], {8, 18} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, - 19} -> Complex[-0.19090563198557167`, - 0.11085568682814102`], {8, 20} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, - 21} -> Complex[-0.02849651545902821, - 0.13038883546342855`], {8, 22} -> - Complex[-0.218113151712259, 0.025091517498334166`], {8, - 23} -> Complex[ - 0.10074068312316217`, -0.24982130549270182`], {8, 24} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, - 25} -> Complex[0.2158761295291703, 0.079839801475396], { - 8, 26} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, - 27} -> Complex[ - 0.22196866627101539`, -0.20220472842758744`], {8, 28} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {8, - 29} -> Complex[0.3480244926609176, 0.], {8, 30} -> - Complex[-0.015725352039344952`, -0.1534965717731505], {8, - 31} -> - Complex[-0.06282282822605365, -0.17443733981734005`], {8, - 32} -> Complex[-0.011194174176657017`, \ --0.18050668434763023`], {8, 33} -> - Complex[-0.17507327039387915`, 0.2690120226571733], {8, - 34} -> Complex[-0.07400883501291561, - 0.04266786697540802], {8, 35} -> - Complex[-0.33111266457208555`, 0.2799821244558118], {8, - 36} -> Complex[-0.32833718354949015`, - 0.08613557464795678], {9, 10} -> - Complex[0.4666612200115955, 0.], {9, 11} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, - 12} -> Complex[-0.10523618574474686`, - 0.07147202526604769], {9, 13} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, - 14} -> Complex[0.04387227616028566, 0.169253767952832], { - 9, 15} -> Complex[-0.16219964087949312`, - 0.23052958058187878`], {9, 16} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, - 17} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, - 18} -> Complex[-0.14528807272467686`, - 0.1963794168890443], {9, 19} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, - 20} -> Complex[-0.14528807272467686`, - 0.1963794168890443], {9, 21} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {9, - 22} -> Complex[-0.13637897517564893`, \ --0.21978330419104863`], {9, 23} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, - 24} -> Complex[0.04387227616028566, 0.169253767952832], { - 9, 25} -> Complex[-0.002703366170010074, - 0.1342165202528226], {9, 26} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, + 0.05350396017855871, -0.038145366086212794`], {8, 15} -> + Complex[0.21051246235757812`, 0.08951514239750463], {8, + 16} -> Complex[-0.1855462901651881, + 0.08953347157789894], {8, 17} -> + Complex[0.21051246235757812`, 0.08951514239750463], {8, + 18} -> Complex[-0.1855462901651881, + 0.08953347157789894], {8, 19} -> + Complex[-0.05181977912767945, 0.037809566636026526`], {8, + 20} -> Complex[ + 0.05350396017855871, -0.038145366086212794`], {8, 21} -> + Complex[-0.11348480027122035`, 0.34468442336798244`], {8, + 22} -> Complex[ + 0.14683816981476766`, 0.034502058514711414`], {8, 23} -> + Complex[-0.18321791222949194`, 0.035808072295513985`], {8, + 24} -> Complex[ + 0.06308937077219877, -0.16425756045192152`], {8, 25} -> + Complex[0.5333747400652373, 0.], {8, 26} -> + Complex[-0.25986751190259594`, 0.19937008578078047`], {8, 27} -> Complex[ - 0.10214442350629199`, -0.026260413784740505`], {9, 28} -> - Complex[0.4666612200115955, 0.], {9, 29} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {9, - 30} -> Complex[ - 0.32107941916226146`, -0.09232207202497354], {9, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {9, - 32} -> Complex[ - 0.10082205206266875`, -0.054783259519745345`], {9, 33} -> - Complex[-0.2841944960267362, 0.0881056163125139], {9, 34} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {9, - 35} -> Complex[-0.05909814548140835, \ --0.07667698906457968], {9, 36} -> - Complex[-0.45453234415494154`, -0.154590481023119], {10, - 11} -> Complex[0.14020706236902425`, 0.157106453123418], { - 10, 12} -> - Complex[0.026461024624226184`, -0.17157026853359011`], { - 10, 13} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, - 14} -> Complex[-0.09249860156321268, \ --0.12601316051490963`], {10, 15} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, - 16} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, - 17} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, - 18} -> Complex[-0.09261261877802832, \ --0.1270548580331935], {10, 19} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, - 20} -> Complex[-0.09261261877802832, \ --0.1270548580331935], {10, 21} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, - 22} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, - 23} -> Complex[ - 0.19742335371429923`, -0.09763016245015396], {10, 24} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, - 25} -> Complex[ - 0.14020706236902425`, 0.157106453123418], {10, 26} -> - Complex[0.026461024624226184`, -0.17157026853359011`], { - 10, 27} -> Complex[0.33314595779251727`, 0.], {10, 28} -> - Complex[0.10214442350629199`, 0.026260413784740505`], {10, - 29} -> Complex[ - 0.22196866627101539`, 0.20220472842758744`], {10, 30} -> - Complex[0.020907170696056646`, 0.009826517437731715], {10, + 0.28259964162527906`, 0.4055803745838325], {8, 28} -> + Complex[-0.04788255890923551, 0.12484288796949913`], {8, + 29} -> Complex[-0.3396867137428587, \ +-0.13646163767421743`], {8, 30} -> + Complex[0.1938167265709829, 0.16890318060989123`], {8, + 31} -> Complex[0.3366775563160397, 0.09992753883776476], { + 8, 32} -> Complex[-0.2128973260243628, + 0.2803118968875541], {9, 10} -> + Complex[0.135726527386378, 0.], {9, 11} -> + Complex[-0.08930473416931554, -0.007048096041707605], {9, + 12} -> Complex[ + 0.03975514319435934, 0.05151250369655895], {9, 13} -> + Complex[0.12032699300738342`, -0.048441152283289074`], {9, + 14} -> Complex[-0.12725910621181818`, + 0.07905444855796712], {9, 15} -> + Complex[-0.04860629109081113, 0.04246480370392383], {9, + 16} -> Complex[-0.026647065623548363`, \ +-0.026330641239406972`], {9, 17} -> + Complex[-0.04860629109081113, 0.04246480370392383], {9, + 18} -> Complex[-0.026647065623548363`, \ +-0.026330641239406972`], {9, 19} -> + Complex[0.12032699300738342`, -0.048441152283289074`], {9, + 20} -> Complex[-0.12725910621181818`, + 0.07905444855796712], {9, 21} -> + Complex[-0.08930473416931554, -0.007048096041707605], {9, + 22} -> Complex[ + 0.03975514319435934, 0.05151250369655895], {9, 23} -> + Complex[-0.11019599040362683`, 0.05916418261795878], {9, + 24} -> Complex[0.135726527386378, 0.], {9, 25} -> + Complex[0.06308937077219877, 0.16425756045192152`], {9, + 26} -> Complex[-0.07482735080148525, \ +-0.01554709808796357], {9, 27} -> + Complex[-0.0964564876770649, 0.04387994353782962], {9, + 28} -> Complex[-0.05062234940479168, \ +-0.059412074076411546`], {9, 29} -> + Complex[0.06550651054263391, -0.09165221630004965], {9, + 30} -> Complex[-0.06778091820891004, + 0.11263382211139406`], {9, 31} -> + Complex[0.07078276202467412, 0.30788890986999096`], {9, + 32} -> Complex[-0.06765757529077783, \ +-0.13038007028245235`], {10, 11} -> + Complex[0.06842480050902869, -0.15505501766299976`], {10, + 12} -> Complex[-0.13939394787264447`, \ +-0.13747106056552227`], {10, 13} -> + Complex[-0.15768324024018812`, -0.14328868692391553`], { + 10, 14} -> + Complex[0.2643754685221928, 0.07682893410517902], {10, + 15} -> Complex[-0.07538887957770507, + 0.014151525468183115`], {10, 16} -> + Complex[0.1920939879748598, -0.10630694451257516`], {10, + 17} -> Complex[-0.07538887957770507, + 0.014151525468183115`], {10, 18} -> + Complex[0.1920939879748598, -0.10630694451257516`], {10, + 19} -> Complex[-0.15768324024018812`, \ +-0.14328868692391553`], {10, 20} -> + Complex[0.2643754685221928, 0.07682893410517902], {10, + 21} -> Complex[ + 0.06842480050902869, -0.15505501766299976`], {10, 22} -> + Complex[-0.13939394787264447`, -0.13747106056552227`], { + 10, 23} -> Complex[0.42635779992285405`, 0.], {10, 24} -> + Complex[-0.11019599040362683`, -0.05916418261795878], {10, + 25} -> + Complex[-0.18321791222949194`, -0.035808072295513985`], { + 10, 26} -> + Complex[0.22912253169347, -0.25555554669124914`], {10, + 27} -> Complex[-0.31513742950926715`, \ +-0.04912752076041336], {10, 28} -> + Complex[-0.05565875071499052, -0.09437594864128791], {10, + 29} -> Complex[ + 0.10029581103120666`, -0.01981792746027898], {10, 30} -> + Complex[0.11017975259513822`, -0.24891234255610362`], {10, 31} -> Complex[ - 0.18344402773596857`, -0.12440237009032867`], {10, 32} -> - Complex[0.05541102122851009, -0.15479143125784764`], {10, - 33} -> Complex[-0.2521578356402413, \ --0.01333219816254436], {10, 34} -> - Complex[-0.09116148563358083, 0.08672925004639812], {10, - 35} -> Complex[-0.5009225822231967, - 0.03036622844279574], {10, 36} -> - Complex[-0.1821537065194496, -0.1809373735116714], {11, - 12} -> Complex[0.35884454526493437`, 0.], {11, 13} -> - Complex[-0.1376685276414912, -0.017279120496164], {11, - 14} -> - Complex[-0.005254583355195047, -0.07911629825938535], {11, - 15} -> Complex[ - 0.09504874694484183, -0.252921972711526], {11, 16} -> - Complex[-0.016434880239505067`, -0.02799549139813756], { - 11, 17} -> - Complex[-0.004104217599466588, 0.09920939692115077], {11, + 0.2533574041138994, -0.2841723464925085], {10, 32} -> + Complex[0.020172727999101747`, -0.03449935263782891], {11, + 12} -> Complex[0.1272054475990647, 0.], {11, 13} -> + Complex[0.03249739020896987, -0.007688837072184563], {11, + 14} -> Complex[-0.03666874742079528, + 0.07798472902890301], {11, 15} -> + Complex[0.07267050201545142, 0.011714058141280672`], {11, + 16} -> Complex[-0.07116526154293495, + 0.12925982418550483`], {11, 17} -> + Complex[0.07267050201545142, 0.011714058141280672`], {11, + 18} -> Complex[-0.07116526154293495, + 0.12925982418550483`], {11, 19} -> + Complex[0.03249739020896987, -0.007688837072184563], {11, + 20} -> Complex[-0.03666874742079528, + 0.07798472902890301], {11, 21} -> + Complex[-0.013539473736158613`, 0.13067968221082676`], { + 11, 22} -> Complex[0.1272054475990647, 0.], {11, 23} -> + Complex[-0.13939394787264447`, 0.13747106056552227`], {11, + 24} -> Complex[ + 0.03975514319435934, -0.05151250369655895], {11, 25} -> + Complex[0.14683816981476766`, -0.034502058514711414`], { + 11, 26} -> + Complex[-0.021450925664317888`, 0.20231262751067364`], { + 11, 27} -> + Complex[0.16980607400071762`, 0.0009413154054021405], {11, + 28} -> Complex[ + 0.05755533995669046, 0.07401317879009213], {11, 29} -> + Complex[-0.0832461030605116, 0.0007900461969849934], {11, + 30} -> Complex[ + 0.10046002901967245`, 0.19478861449336152`], {11, 31} -> + Complex[0.014982384821209789`, 0.13663234668804805`], {11, + 32} -> Complex[-0.1353776277549702, + 0.09474310902835915], {12, 13} -> + Complex[0.1011867533194991, 0.05266749081168851], {12, + 14} -> Complex[-0.07986138310064092, \ +-0.05490753841460036], {12, 15} -> + Complex[0.0049348768685348095`, -0.19401579066298913`], { + 12, 16} -> + Complex[0.15833164198889998`, 0.11387642571006557`], {12, + 17} -> Complex[ + 0.0049348768685348095`, -0.19401579066298913`], {12, 18} -> + Complex[0.15833164198889998`, 0.11387642571006557`], {12, + 19} -> Complex[0.1011867533194991, 0.05266749081168851], { + 12, 20} -> + Complex[-0.07986138310064092, -0.05490753841460036], {12, + 21} -> Complex[0.288790430194917, 0.], {12, 22} -> + Complex[-0.013539473736158613`, -0.13067968221082676`], { + 12, 23} -> + Complex[0.06842480050902869, 0.15505501766299976`], {12, + 24} -> Complex[-0.08930473416931554, + 0.007048096041707605], {12, 25} -> + Complex[-0.11348480027122035`, -0.34468442336798244`], { + 12, 26} -> + Complex[0.23530920684103981`, 0.0909192260612194], {12, + 27} -> Complex[0.1668226451310518, -0.2990474561368582], { + 12, 28} -> + Complex[0.11084673340471671`, -0.07367368444009487], {12, + 29} -> Complex[ + 0.012301908189476976`, 0.29819031736230395`], {12, 30} -> + Complex[0.09392733334800707, -0.23700943627758006`], {12, + 31} -> Complex[ + 0.036746036528397724`, -0.11894266930455437`], {12, 32} -> + Complex[0.2806974213994702, 0.046546994330126934`], {13, + 14} -> Complex[0.4079525483141261, 0.], {13, 15} -> + Complex[0.08723277223992514, 0.11080073531383203`], {13, + 16} -> Complex[ + 0.006827467338087173, -0.01209924810690289], {13, 17} -> + Complex[0.08723277223992514, 0.11080073531383203`], {13, 18} -> Complex[ - 0.08241113354082491, -0.24960895170610842`], {11, 19} -> - Complex[-0.004104217599466588, 0.09920939692115077], {11, - 20} -> Complex[ - 0.08241113354082491, -0.24960895170610842`], {11, 21} -> - Complex[0.09504874694484183, -0.252921972711526], {11, - 22} -> Complex[-0.016434880239505067`, \ --0.02799549139813756], {11, 23} -> - Complex[-0.1376685276414912, -0.017279120496164], {11, - 24} -> Complex[-0.005254583355195047, \ --0.07911629825938535], {11, 25} -> - Complex[0.03589005743520234, 0.010244248183710654`], {11, - 26} -> Complex[0.35884454526493437`, 0.], {11, 27} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {11, - 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {11, - 29} -> Complex[-0.07072413917244547, - 0.06080711260518379], {11, 30} -> - Complex[0.017491034151456156`, 0.1422934683362202], {11, - 31} -> Complex[0.04881033618836923, 0.3767537051917446], { - 11, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {11, - 33} -> Complex[ - 0.15643971909026363`, -0.21034493673282548`], {11, 34} -> - Complex[-0.07901145315910152, -0.12060096224364471`], {11, - 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {11, - 36} -> Complex[ - 0.12697363466636613`, 0.017287640275502197`], {12, 13} -> - Complex[-0.017700618374932788`, -0.229189990199907], {12, - 14} -> Complex[-0.18045658269343973`, \ --0.06407563305713601], {12, 15} -> - Complex[0.029111053747052022`, -0.03092252970487717], {12, - 16} -> Complex[-0.10573743372545524`, - 0.06148505498780174], {12, 17} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {12, - 18} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {12, - 19} -> Complex[-0.12879874504374314`, - 0.15781559429956118`], {12, 20} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {12, - 21} -> Complex[ - 0.029111053747052022`, -0.03092252970487717], {12, 22} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {12, - 23} -> Complex[-0.017700618374932788`, \ --0.229189990199907], {12, 24} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {12, - 25} -> Complex[0.2638704815566899, 0.], {12, 26} -> - Complex[0.03589005743520234, -0.010244248183710654`], {12, - 27} -> Complex[ - 0.14020706236902425`, -0.157106453123418], {12, 28} -> - Complex[-0.002703366170010074, -0.1342165202528226], {12, - 29} -> Complex[0.2158761295291703, -0.079839801475396], { - 12, 30} -> - Complex[-0.09078438719781487, 0.08387695970470208], {12, - 31} -> Complex[-0.05197448003562596, \ --0.034035129192128775`], {12, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], { - 12, 33} -> - Complex[0.07182371169440027, 0.13961968957305576`], {12, - 34} -> Complex[ - 0.03971739520512007, 0.01279589611612527], {12, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {12, - 36} -> Complex[-0.28325062776683585`, - 0.15967643343543628`], {13, 14} -> - Complex[0.3248309079027546, 0.], {13, 15} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, - 16} -> Complex[-0.055024457915968744`, \ --0.00875520102328074], {13, 17} -> - Complex[0.039373147369999854`, -0.022673347542931065`], { - 13, 18} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, - 19} -> Complex[ - 0.039373147369999854`, -0.022673347542931065`], {13, 20} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, + 0.006827467338087173, -0.01209924810690289], {13, 19} -> + Complex[-0.3220977038351225, -0.0383011718065015], {13, + 20} -> Complex[0.4079525483141261, 0.], {13, 21} -> + Complex[-0.07986138310064092, 0.05490753841460036], {13, + 22} -> Complex[-0.03666874742079528, \ +-0.07798472902890301], {13, 23} -> + Complex[0.2643754685221928, -0.07682893410517902], {13, + 24} -> Complex[-0.12725910621181818`, \ +-0.07905444855796712], {13, 25} -> + Complex[0.05350396017855871, 0.038145366086212794`], {13, + 26} -> Complex[ + 0.08074598001208205, -0.08855457473741418], {13, 27} -> + Complex[-0.1475728871036449, 0.14922079251460418`], {13, + 28} -> Complex[ + 0.019232961701569087`, 0.07895370068527609], {13, 29} -> + Complex[-0.15607378409602476`, -0.1439965761825238], {13, + 30} -> Complex[ + 0.27858075604955634`, -0.030371398383274933`], {13, 31} -> + Complex[0.11917354760172008`, -0.272212173030505], {13, + 32} -> Complex[-0.10354421178516458`, + 0.22986188863366275`], {14, 15} -> + Complex[-0.08476806338113038, -0.11473204575369803`], {14, + 16} -> Complex[ + 0.06970781907889996, 0.027872664118806813`], {14, 17} -> + Complex[-0.08476806338113038, -0.11473204575369803`], {14, + 18} -> Complex[ + 0.06970781907889996, 0.027872664118806813`], {14, 19} -> + Complex[0.29582940176126815`, 0.], {14, 20} -> + Complex[-0.3220977038351225, 0.0383011718065015], {14, 21} -> Complex[ - 0.12183252883416357`, 0.15881245002612598`], {13, 22} -> - Complex[-0.055024457915968744`, -0.00875520102328074], { - 13, 23} -> - Complex[0.06998304089724083, 0.09262495833114717], {13, - 24} -> Complex[0.3248309079027546, 0.], {13, 25} -> - Complex[-0.18045658269343973`, 0.06407563305713601], {13, - 26} -> Complex[-0.005254583355195047, - 0.07911629825938535], {13, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {13, - 28} -> Complex[0.04387227616028566, -0.169253767952832], { - 13, 29} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {13, - 30} -> Complex[ - 0.015573345706232422`, -0.33611710368003506`], {13, 31} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {13, + 0.1011867533194991, -0.05266749081168851], {14, 22} -> + Complex[0.03249739020896987, 0.007688837072184563], {14, + 23} -> Complex[-0.15768324024018812`, + 0.14328868692391553`], {14, 24} -> + Complex[0.12032699300738342`, 0.048441152283289074`], {14, + 25} -> + Complex[-0.05181977912767945, -0.037809566636026526`], { + 14, 26} -> Complex[ + 0.022865123054102737`, 0.04960709547698468], {14, 27} -> + Complex[0.07063495593763104, -0.18915546654520524`], {14, + 28} -> Complex[ + 0.005055667009208006, -0.1278205163933677], {14, 29} -> + Complex[0.1695753382061036, 0.12525309112556196`], {14, + 30} -> Complex[-0.14920571596040955`, \ +-0.004668871253339259], {14, 31} -> + Complex[-0.005519120018070173, 0.32277555558099397`], {14, + 32} -> Complex[ + 0.0926308918937118, -0.14887764782704088`], {15, 16} -> + Complex[0.21788533841205476`, 0.], {15, 17} -> + Complex[-0.07621780081525145, -0.10986947258054452`], {15, + 18} -> Complex[0.21788533841205476`, 0.], {15, 19} -> + Complex[0.06970781907889996, -0.027872664118806813`], {15, + 20} -> Complex[ + 0.006827467338087173, 0.01209924810690289], {15, 21} -> + Complex[0.15833164198889998`, -0.11387642571006557`], {15, + 22} -> + Complex[-0.07116526154293495, -0.12925982418550483`], {15, + 23} -> Complex[ + 0.1920939879748598, 0.10630694451257516`], {15, 24} -> + Complex[-0.026647065623548363`, 0.026330641239406972`], { + 15, 25} -> + Complex[-0.1855462901651881, -0.08953347157789894], {15, + 26} -> Complex[ + 0.2559730175620584, -0.12078716288411598`], {15, 27} -> + Complex[-0.14277268958862907`, -0.2479052297980392], {15, + 28} -> Complex[ + 0.05526746191692408, -0.16679705600024786`], {15, 29} -> + Complex[0.1504904090013878, 0.12024277886252119`], {15, + 30} -> Complex[ + 0.0843470356919863, -0.21628437576571974`], {15, 31} -> + Complex[0.08124011098625433, 0.0559800004451918], {15, 32} -> Complex[ - 0.11263046571451424`, 0.15943812713557814`], {13, 33} -> - Complex[-0.08996062722681389, 0.04963088270675587], {13, - 34} -> Complex[-0.24146580052003364`, \ --0.11027596484454191`], {13, 35} -> - Complex[0.054818062753627404`, -0.18407880112585107`], { - 13, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {14, - 15} -> Complex[-0.042124735558062835`, - 0.12231882955045151`], {14, 16} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, - 17} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], { - 14, 18} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, - 19} -> Complex[-0.12599372208886145`, \ --0.18913477597107048`], {14, 20} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, - 21} -> Complex[-0.042124735558062835`, - 0.12231882955045151`], {14, 22} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, - 23} -> Complex[0.35279363941541053`, 0.], {14, 24} -> - Complex[0.06998304089724083, -0.09262495833114717], {14, - 25} -> Complex[-0.017700618374932788`, - 0.229189990199907], {14, 26} -> - Complex[-0.1376685276414912, 0.017279120496164], {14, 27} -> - Complex[0.19742335371429923`, 0.09763016245015396], {14, + 0.1737724935599298, -0.007390914815773142], {16, 17} -> + Complex[0.1576509820323173, 0.], {16, 18} -> + Complex[-0.07621780081525145, 0.10986947258054452`], {16, + 19} -> Complex[-0.08476806338113038, + 0.11473204575369803`], {16, 20} -> + Complex[0.08723277223992514, -0.11080073531383203`], {16, + 21} -> Complex[ + 0.0049348768685348095`, 0.19401579066298913`], {16, 22} -> + Complex[0.07267050201545142, -0.011714058141280672`], {16, + 23} -> + Complex[-0.07538887957770507, -0.014151525468183115`], { + 16, 24} -> + Complex[-0.04860629109081113, -0.04246480370392383], {16, + 25} -> Complex[ + 0.21051246235757812`, -0.08951514239750463], {16, 26} -> + Complex[-0.06038101273760845, 0.13919179950515956`], {16, + 27} -> Complex[ + 0.23396340114239164`, 0.14836338195316717`], {16, 28} -> + Complex[0.0703816300525041, 0.09831495930430345], {16, + 29} -> Complex[-0.20988883047294088`, + 0.03544251396822046], {16, 30} -> + Complex[0.1559809531435565, 0.03223196939623798], {16, + 31} -> Complex[-0.007195583582784125, \ +-0.06896354235277449], {16, 32} -> + Complex[-0.0749459256389439, 0.2284108346745835], {17, + 18} -> Complex[0.21788533841205476`, 0.], {17, 19} -> + Complex[0.06970781907889996, -0.027872664118806813`], {17, + 20} -> Complex[ + 0.006827467338087173, 0.01209924810690289], {17, 21} -> + Complex[0.15833164198889998`, -0.11387642571006557`], {17, + 22} -> + Complex[-0.07116526154293495, -0.12925982418550483`], {17, + 23} -> Complex[ + 0.1920939879748598, 0.10630694451257516`], {17, 24} -> + Complex[-0.026647065623548363`, 0.026330641239406972`], { + 17, 25} -> + Complex[-0.1855462901651881, -0.08953347157789894], {17, + 26} -> Complex[ + 0.2559730175620584, -0.12078716288411598`], {17, 27} -> + Complex[-0.14277268958862907`, -0.2479052297980392], {17, 28} -> Complex[ - 0.19754043867481771`, 0.06710821743420367], {14, 29} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {14, - 30} -> Complex[-0.03694461851812731, \ --0.11992171449363792`], {14, 31} -> - Complex[0.03210691866533716, -0.25866941133955584`], {14, + 0.05526746191692408, -0.16679705600024786`], {17, 29} -> + Complex[0.1504904090013878, 0.12024277886252119`], {17, + 30} -> Complex[ + 0.0843470356919863, -0.21628437576571974`], {17, 31} -> + Complex[0.08124011098625433, 0.0559800004451918], {17, 32} -> Complex[ - 0.20153478327455962`, -0.091416725802769], {14, 33} -> - Complex[-0.26044059541670533`, 0.05145411756901592], {14, - 34} -> Complex[-0.06287334385176857, - 0.039875195608224154`], {14, 35} -> - Complex[-0.25377338518228143`, -0.22696868263028766`], { - 14, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], { - 15, 16} -> Complex[0.18939927318289235`, 0.], {15, 17} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, - 18} -> Complex[ - 0.012115526439909248`, -0.07586465949937707], {15, 19} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, - 20} -> Complex[ - 0.012115526439909248`, -0.07586465949937707], {15, 21} -> - Complex[0.0018678498053481644`, -0.11355320674819902`], { - 15, 22} -> Complex[0.18939927318289235`, 0.], {15, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {15, - 24} -> Complex[-0.055024457915968744`, - 0.00875520102328074], {15, 25} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {15, - 26} -> Complex[-0.016434880239505067`, - 0.02799549139813756], {15, 27} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {15, - 28} -> Complex[-0.13637897517564893`, - 0.21978330419104863`], {15, 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {15, - 30} -> Complex[-0.07025866437087314, - 0.18394307455842968`], {15, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {15, - 32} -> Complex[-0.00498052152715275, - 0.08042658142468531], {15, 33} -> - Complex[0.12372341411859573`, -0.16477324944202285`], {15, - 34} -> Complex[ - 0.0896129289093057, 0.08670073786995046], {15, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {15, - 36} -> Complex[ - 0.23903733008036765`, -0.09626849124511486], {16, 17} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, - 18} -> Complex[ - 0.3520451599439639, -0.006012121161366684], {16, 19} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, + 0.1737724935599298, -0.007390914815773142], {18, 19} -> + Complex[-0.08476806338113038, 0.11473204575369803`], {18, 20} -> Complex[ - 0.3520451599439639, -0.006012121161366684], {16, 21} -> - Complex[0.349552824256183, 0.], {16, 22} -> - Complex[0.0018678498053481644`, 0.11355320674819902`], { - 16, 23} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], { - 16, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {16, - 25} -> Complex[ - 0.029111053747052022`, 0.03092252970487717], {16, 26} -> - Complex[0.09504874694484183, 0.252921972711526], {16, 27} -> - Complex[-0.13187039110424337`, 0.05577367679001426], {16, - 28} -> Complex[-0.16219964087949312`, \ --0.23052958058187878`], {16, 29} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {16, - 30} -> - Complex[-0.3170629158392618, -0.07863950467973177], {16, - 31} -> Complex[-0.27597397639459753`, - 0.2023899803882464], {16, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {16, - 33} -> Complex[ - 0.27720818247658857`, 0.1557462430493763], {16, 34} -> - Complex[-0.10985803268384983`, 0.010763626429992096`], { - 16, 35} -> - Complex[0.07950629072406969, -0.15112987613524487`], {16, - 36} -> Complex[ - 0.15935941360240716`, 0.2513470741842914], {17, 18} -> - Complex[0.3905441579974116, 0.], {17, 19} -> - Complex[0.007773728117029734, 0.02423539675981027], {17, - 20} -> Complex[0.3905441579974116, 0.], {17, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {17, - 22} -> Complex[ - 0.012115526439909248`, 0.07586465949937707], {17, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {17, - 24} -> Complex[ - 0.17469085565385242`, -0.20815325028445178`], {17, 25} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {17, + 0.08723277223992514, -0.11080073531383203`], {18, 21} -> + Complex[0.0049348768685348095`, 0.19401579066298913`], { + 18, 22} -> + Complex[0.07267050201545142, -0.011714058141280672`], {18, + 23} -> + Complex[-0.07538887957770507, -0.014151525468183115`], { + 18, 24} -> + Complex[-0.04860629109081113, -0.04246480370392383], {18, + 25} -> Complex[ + 0.21051246235757812`, -0.08951514239750463], {18, 26} -> + Complex[-0.06038101273760845, 0.13919179950515956`], {18, + 27} -> Complex[ + 0.23396340114239164`, 0.14836338195316717`], {18, 28} -> + Complex[0.0703816300525041, 0.09831495930430345], {18, + 29} -> Complex[-0.20988883047294088`, + 0.03544251396822046], {18, 30} -> + Complex[0.1559809531435565, 0.03223196939623798], {18, + 31} -> Complex[-0.007195583582784125, \ +-0.06896354235277449], {18, 32} -> + Complex[-0.0749459256389439, 0.2284108346745835], {19, + 20} -> Complex[0.4079525483141261, 0.], {19, 21} -> + Complex[-0.07986138310064092, 0.05490753841460036], {19, + 22} -> Complex[-0.03666874742079528, \ +-0.07798472902890301], {19, 23} -> + Complex[0.2643754685221928, -0.07682893410517902], {19, + 24} -> Complex[-0.12725910621181818`, \ +-0.07905444855796712], {19, 25} -> + Complex[0.05350396017855871, 0.038145366086212794`], {19, 26} -> Complex[ - 0.08241113354082491, 0.24960895170610842`], {17, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {17, - 28} -> Complex[-0.14528807272467686`, \ --0.1963794168890443], {17, 29} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {17, - 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {17, - 31} -> Complex[-0.24139750211906025`, - 0.17856311543581216`], {17, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {17, - 33} -> Complex[ - 0.20846784571655388`, 0.1346840497441242], {17, 34} -> - Complex[-0.1606002091580235, 0.04277649306205672], {17, - 35} -> Complex[ - 0.020304980203947276`, -0.2448019195395177], {17, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {18, - 19} -> Complex[0.27470470789916873`, 0.], {18, 20} -> - Complex[0.007773728117029734, -0.02423539675981027], {18, - 21} -> Complex[ - 0.008173587051180226, -0.09795082074318642], {18, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {18, - 23} -> Complex[-0.12599372208886145`, - 0.18913477597107048`], {18, 24} -> - Complex[0.039373147369999854`, 0.022673347542931065`], { - 18, 25} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], { - 18, 26} -> - Complex[-0.004104217599466588, -0.09920939692115077], {18, - 27} -> Complex[-0.1350116019726202, - 0.04516801561911384], {18, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {18, - 29} -> Complex[-0.19090563198557167`, \ --0.11085568682814102`], {18, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {18, - 31} -> Complex[0.1302477399556314, 0.104114370134477], { - 18, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {18, - 33} -> Complex[ - 0.09968546178967824, -0.1683352007294286], {18, 34} -> - Complex[-0.1355879777222275, 0.08845876363140671], {18, - 35} -> Complex[ - 0.13747177730338656`, 0.016173756793363754`], {18, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {19, - 20} -> Complex[0.3905441579974116, 0.], {19, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {19, + 0.08074598001208205, -0.08855457473741418], {19, 27} -> + Complex[-0.1475728871036449, 0.14922079251460418`], {19, + 28} -> Complex[ + 0.019232961701569087`, 0.07895370068527609], {19, 29} -> + Complex[-0.15607378409602476`, -0.1439965761825238], {19, + 30} -> Complex[ + 0.27858075604955634`, -0.030371398383274933`], {19, 31} -> + Complex[0.11917354760172008`, -0.272212173030505], {19, + 32} -> Complex[-0.10354421178516458`, + 0.22986188863366275`], {20, 21} -> + Complex[0.1011867533194991, -0.05266749081168851], {20, 22} -> Complex[ - 0.012115526439909248`, 0.07586465949937707], {19, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {19, + 0.03249739020896987, 0.007688837072184563], {20, 23} -> + Complex[-0.15768324024018812`, 0.14328868692391553`], {20, 24} -> Complex[ - 0.17469085565385242`, -0.20815325028445178`], {19, 25} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {19, - 26} -> Complex[ - 0.08241113354082491, 0.24960895170610842`], {19, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {19, - 28} -> Complex[-0.14528807272467686`, \ --0.1963794168890443], {19, 29} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {19, - 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {19, - 31} -> Complex[-0.24139750211906025`, - 0.17856311543581216`], {19, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {19, - 33} -> Complex[ - 0.20846784571655388`, 0.1346840497441242], {19, 34} -> - Complex[-0.1606002091580235, 0.04277649306205672], {19, - 35} -> Complex[ - 0.020304980203947276`, -0.2448019195395177], {19, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {20, - 21} -> Complex[ - 0.008173587051180226, -0.09795082074318642], {20, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {20, - 23} -> Complex[-0.12599372208886145`, - 0.18913477597107048`], {20, 24} -> - Complex[0.039373147369999854`, 0.022673347542931065`], { - 20, 25} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], { + 0.12032699300738342`, 0.048441152283289074`], {20, 25} -> + Complex[-0.05181977912767945, -0.037809566636026526`], { 20, 26} -> - Complex[-0.004104217599466588, -0.09920939692115077], {20, - 27} -> Complex[-0.1350116019726202, - 0.04516801561911384], {20, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {20, - 29} -> Complex[-0.19090563198557167`, \ --0.11085568682814102`], {20, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {20, - 31} -> Complex[0.1302477399556314, 0.104114370134477], { - 20, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {20, - 33} -> Complex[ - 0.09968546178967824, -0.1683352007294286], {20, 34} -> - Complex[-0.1355879777222275, 0.08845876363140671], {20, - 35} -> Complex[ - 0.13747177730338656`, 0.016173756793363754`], {20, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {21, - 22} -> Complex[0.18939927318289235`, 0.], {21, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {21, - 24} -> Complex[-0.055024457915968744`, - 0.00875520102328074], {21, 25} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {21, - 26} -> Complex[-0.016434880239505067`, - 0.02799549139813756], {21, 27} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {21, - 28} -> Complex[-0.13637897517564893`, - 0.21978330419104863`], {21, 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {21, 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Complex[0.05541102122851009, 0.15479143125784764`], {5, 10} -> - Complex[0.10082205206266875`, 0.054783259519745345`], {5, 11} -> - Complex[-0.10297491838992004`, 0.24585233281751626`], {5, 12} -> - Complex[-0.06540345886434173, 0.03247283136099954], {5, 13} -> - Complex[0.20153478327455962`, 0.091416725802769], {5, 14} -> - Complex[0.11263046571451424`, -0.15943812713557814`], {5, 15} -> - Complex[0.01768967427913295, 0.07030539787536907], {5, 16} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, 17} -> - Complex[-0.0863909413535702, -0.18155756040588286`], {5, 18} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, 19} -> - Complex[-0.0863909413535702, -0.18155756040588286`], {5, 20} -> - Complex[0.09493687473979212, 0.05333192476596154], {5, 21} -> - Complex[0.01768967427913295, 0.07030539787536907], {5, 22} -> - Complex[-0.00498052152715275, -0.08042658142468531], {5, 23} -> - Complex[0.20153478327455962`, 0.091416725802769], {5, 24} -> - Complex[0.11263046571451424`, -0.15943812713557814`], {5, 25} -> - Complex[-0.10297491838992004`, 0.24585233281751626`], {5, 26} -> - Complex[-0.06540345886434173, 0.03247283136099954], {5, 27} -> - Complex[0.05541102122851009, 0.15479143125784764`], {5, 28} -> - Complex[0.10082205206266875`, 0.054783259519745345`], {5, 29} -> - Complex[-0.011194174176657017`, 0.18050668434763023`], {5, 30} -> - Complex[-0.08951618372581999, -0.1398945044720049], {5, 31} -> - Complex[0.05957085045120364, -0.0686364172150267], {5, 32} -> - Complex[0.3055029437591038, 0.], {5, 33} -> - Complex[-0.13144217108963616`, 0.08045040304054488], {5, 34} -> - Complex[0.02410019796458368, 0.07846271521707039], {5, 35} -> - Complex[0.0692138138097684, -0.20164942303248495`], {5, 36} -> - Complex[-0.0838892214676934, -0.35906971113552444`], {6, 7} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, 8} -> - Complex[0.11313471290638971`, 0.0906083646195344], {6, 9} -> - Complex[0.18344402773596857`, 0.12440237009032867`], {6, 10} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {6, 11} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {6, 12} -> - Complex[0.04881033618836923, -0.3767537051917446], {6, 13} -> - Complex[0.03210691866533716, 0.25866941133955584`], {6, 14} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {6, 15} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {6, 16} -> - Complex[0.06561103865616492, -0.04037752804772983], {6, 17} -> - Complex[0.1302477399556314, -0.104114370134477], {6, 18} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, 19} -> - Complex[0.1302477399556314, -0.104114370134477], {6, 20} -> - Complex[-0.24139750211906025`, -0.17856311543581216`], {6, 21} -> - Complex[-0.27597397639459753`, -0.2023899803882464], {6, 22} -> - Complex[0.06561103865616492, -0.04037752804772983], {6, 23} -> - Complex[0.03210691866533716, 0.25866941133955584`], {6, 24} -> - Complex[-0.1091396557759862, -0.054766912594803374`], {6, 25} -> - Complex[-0.05197448003562596, 0.034035129192128775`], {6, 26} -> - Complex[0.04881033618836923, -0.3767537051917446], {6, 27} -> - Complex[0.18344402773596857`, 0.12440237009032867`], {6, 28} -> - Complex[-0.10668413246766638`, 0.2594729794590618], {6, 29} -> - Complex[-0.06282282822605365, 0.17443733981734005`], {6, 30} -> - Complex[0.11313471290638971`, 0.0906083646195344], {6, 31} -> - Complex[0.5058138015078811, 0.], {6, 32} -> - Complex[0.05957085045120364, 0.0686364172150267], {6, 33} -> - Complex[-0.18704231819170578`, -0.30182786908398773`], {6, 34} -> - Complex[-0.06621032034440741, 0.10280421447880453`], {6, 35} -> - Complex[-0.17262974874231735`, -0.03825515355084523], {6, 36} -> - Complex[0.07140571807962026, -0.3254707548282041], {7, 8} -> - Complex[0.5500421302238756, 0.], {7, 9} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, 10} -> - Complex[0.32107941916226146`, 0.09232207202497354], {7, 11} -> - Complex[-0.09078438719781487, -0.08387695970470208], {7, 12} -> - Complex[0.017491034151456156`, -0.1422934683362202], {7, 13} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {7, 14} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {7, 15} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, 16} -> - Complex[-0.07025866437087314, -0.18394307455842968`], {7, 17} -> - Complex[-0.06511122587857304, -0.01569343622580683], {7, 18} -> - Complex[-0.3429240772478055, 0.12113458402956634`], {7, 19} -> - Complex[-0.06511122587857304, -0.01569343622580683], {7, 20} -> - Complex[-0.3429240772478055, 0.12113458402956634`], {7, 21} -> - Complex[-0.3170629158392618, 0.07863950467973177], {7, 22} -> - Complex[-0.07025866437087314, -0.18394307455842968`], {7, 23} -> - Complex[-0.03694461851812731, 0.11992171449363792`], {7, 24} -> - Complex[0.015573345706232422`, 0.33611710368003506`], {7, 25} -> - Complex[-0.09078438719781487, -0.08387695970470208], {7, 26} -> - Complex[0.017491034151456156`, -0.1422934683362202], {7, 27} -> - Complex[0.020907170696056646`, -0.009826517437731715], {7, 28} -> - Complex[0.32107941916226146`, 0.09232207202497354], {7, 29} -> - Complex[-0.015725352039344952`, 0.1534965717731505], {7, 30} -> - Complex[0.5500421302238756, 0.], {7, 31} -> - Complex[0.11313471290638971`, -0.0906083646195344], {7, 32} -> - Complex[-0.08951618372581999, 0.1398945044720049], {7, 33} -> - Complex[-0.25897033958870125`, -0.2062898932256956], {7, 34} -> - Complex[0.09671382069915349, -0.31356085339344003`], {7, 35} -> - Complex[-0.006051982269297387, 0.008414767951100507], {7, 36} -> - Complex[-0.21414311351504042`, -0.06573453711443833], {8, 9} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {8, 10} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {8, 11} -> - Complex[0.2158761295291703, 0.079839801475396], {8, 12} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, 13} -> - Complex[0.10074068312316217`, -0.24982130549270182`], {8, 14} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, 15} -> - Complex[-0.02849651545902821, 0.13038883546342855`], {8, 16} -> - Complex[-0.218113151712259, 0.025091517498334166`], {8, 17} -> - Complex[-0.19090563198557167`, 0.11085568682814102`], {8, 18} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, 19} -> - Complex[-0.19090563198557167`, 0.11085568682814102`], {8, 20} -> - Complex[-0.041305971633540155`, 0.0475059953974924], {8, 21} -> - Complex[-0.02849651545902821, 0.13038883546342855`], {8, 22} -> - Complex[-0.218113151712259, 0.025091517498334166`], {8, 23} -> - Complex[0.10074068312316217`, -0.24982130549270182`], {8, 24} -> - Complex[-0.044451718879691376`, -0.06462209257745277], {8, 25} -> - Complex[0.2158761295291703, 0.079839801475396], {8, 26} -> - Complex[-0.07072413917244547, -0.06080711260518379], {8, 27} -> - Complex[0.22196866627101539`, -0.20220472842758744`], {8, 28} -> - Complex[0.13690201400056437`, -0.21116370706323376`], {8, 29} -> - Complex[0.3480244926609176, 0.], {8, 30} -> - Complex[-0.015725352039344952`, -0.1534965717731505], {8, 31} -> - Complex[-0.06282282822605365, -0.17443733981734005`], {8, 32} -> - Complex[-0.011194174176657017`, -0.18050668434763023`], {8, 33} -> - Complex[-0.17507327039387915`, 0.2690120226571733], {8, 34} -> - Complex[-0.07400883501291561, 0.04266786697540802], {8, 35} -> - Complex[-0.33111266457208555`, 0.2799821244558118], {8, 36} -> - Complex[-0.32833718354949015`, 0.08613557464795678], {9, 10} -> - Complex[0.4666612200115955, 0.], {9, 11} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, 12} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, 13} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, 14} -> - Complex[0.04387227616028566, 0.169253767952832], {9, 15} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {9, 16} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, 17} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, 18} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {9, 19} -> - Complex[-0.27334468363839204`, -0.09375100770632477], {9, 20} -> - Complex[-0.14528807272467686`, 0.1963794168890443], {9, 21} -> - Complex[-0.16219964087949312`, 0.23052958058187878`], {9, 22} -> - Complex[-0.13637897517564893`, -0.21978330419104863`], {9, 23} -> - Complex[0.19754043867481771`, -0.06710821743420367], {9, 24} -> - Complex[0.04387227616028566, 0.169253767952832], {9, 25} -> - Complex[-0.002703366170010074, 0.1342165202528226], {9, 26} -> - Complex[-0.10523618574474686`, 0.07147202526604769], {9, 27} -> - Complex[0.10214442350629199`, -0.026260413784740505`], {9, 28} -> - Complex[0.4666612200115955, 0.], {9, 29} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {9, 30} -> - Complex[0.32107941916226146`, -0.09232207202497354], {9, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {9, 32} -> - Complex[0.10082205206266875`, -0.054783259519745345`], {9, 33} -> - Complex[-0.2841944960267362, 0.0881056163125139], {9, 34} -> - Complex[0.16634996387262246`, -0.22507239863090805`], {9, 35} -> - Complex[-0.05909814548140835, -0.07667698906457968], {9, 36} -> - Complex[-0.45453234415494154`, -0.154590481023119], {10, 11} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, 12} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {10, 13} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, 14} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, 15} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, 16} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, 17} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, 18} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, 19} -> - Complex[-0.1350116019726202, -0.04516801561911384], {10, 20} -> - Complex[-0.09261261877802832, -0.1270548580331935], {10, 21} -> - Complex[-0.13187039110424337`, -0.05577367679001426], {10, 22} -> - Complex[-0.11316770831298564`, -0.08944943686956167], {10, 23} -> - Complex[0.19742335371429923`, -0.09763016245015396], {10, 24} -> - Complex[-0.09249860156321268, -0.12601316051490963`], {10, 25} -> - Complex[0.14020706236902425`, 0.157106453123418], {10, 26} -> - Complex[0.026461024624226184`, -0.17157026853359011`], {10, 27} -> - Complex[0.33314595779251727`, 0.], {10, 28} -> - Complex[0.10214442350629199`, 0.026260413784740505`], {10, 29} -> - Complex[0.22196866627101539`, 0.20220472842758744`], {10, 30} -> - Complex[0.020907170696056646`, 0.009826517437731715], {10, 31} -> - Complex[0.18344402773596857`, -0.12440237009032867`], {10, 32} -> - Complex[0.05541102122851009, -0.15479143125784764`], {10, 33} -> - Complex[-0.2521578356402413, -0.01333219816254436], {10, 34} -> - Complex[-0.09116148563358083, 0.08672925004639812], {10, 35} -> - Complex[-0.5009225822231967, 0.03036622844279574], {10, 36} -> - Complex[-0.1821537065194496, -0.1809373735116714], {11, 12} -> - Complex[0.35884454526493437`, 0.], {11, 13} -> - Complex[-0.1376685276414912, -0.017279120496164], {11, 14} -> - Complex[-0.005254583355195047, -0.07911629825938535], {11, 15} -> - Complex[0.09504874694484183, -0.252921972711526], {11, 16} -> - Complex[-0.016434880239505067`, -0.02799549139813756], {11, 17} -> - Complex[-0.004104217599466588, 0.09920939692115077], {11, 18} -> - Complex[0.08241113354082491, -0.24960895170610842`], {11, 19} -> - Complex[-0.004104217599466588, 0.09920939692115077], {11, 20} -> - Complex[0.08241113354082491, -0.24960895170610842`], {11, 21} -> - Complex[0.09504874694484183, -0.252921972711526], {11, 22} -> - Complex[-0.016434880239505067`, -0.02799549139813756], {11, 23} -> - Complex[-0.1376685276414912, -0.017279120496164], {11, 24} -> - Complex[-0.005254583355195047, -0.07911629825938535], {11, 25} -> - Complex[0.03589005743520234, 0.010244248183710654`], {11, 26} -> - Complex[0.35884454526493437`, 0.], {11, 27} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {11, 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {11, 29} -> - Complex[-0.07072413917244547, 0.06080711260518379], {11, 30} -> - Complex[0.017491034151456156`, 0.1422934683362202], {11, 31} -> - Complex[0.04881033618836923, 0.3767537051917446], {11, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {11, 33} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {11, 34} -> - Complex[-0.07901145315910152, -0.12060096224364471`], {11, 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {11, 36} -> - Complex[0.12697363466636613`, 0.017287640275502197`], {12, 13} -> - Complex[-0.017700618374932788`, -0.229189990199907], {12, 14} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {12, 15} -> - Complex[0.029111053747052022`, -0.03092252970487717], {12, 16} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {12, 17} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {12, 18} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {12, 19} -> - Complex[-0.12879874504374314`, 0.15781559429956118`], {12, 20} -> - Complex[-0.018530669057524738`, -0.1016185353576046], {12, 21} -> - Complex[0.029111053747052022`, -0.03092252970487717], {12, 22} -> - Complex[-0.10573743372545524`, 0.06148505498780174], {12, 23} -> - Complex[-0.017700618374932788`, -0.229189990199907], {12, 24} -> - Complex[-0.18045658269343973`, -0.06407563305713601], {12, 25} -> - Complex[0.2638704815566899, 0.], {12, 26} -> - Complex[0.03589005743520234, -0.010244248183710654`], {12, 27} -> - Complex[0.14020706236902425`, -0.157106453123418], {12, 28} -> - Complex[-0.002703366170010074, -0.1342165202528226], {12, 29} -> - Complex[0.2158761295291703, -0.079839801475396], {12, 30} -> - Complex[-0.09078438719781487, 0.08387695970470208], {12, 31} -> - Complex[-0.05197448003562596, -0.034035129192128775`], {12, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], {12, 33} -> - Complex[0.07182371169440027, 0.13961968957305576`], {12, 34} -> - Complex[0.03971739520512007, 0.01279589611612527], {12, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {12, 36} -> - Complex[-0.28325062776683585`, 0.15967643343543628`], {13, 14} -> - Complex[0.3248309079027546, 0.], {13, 15} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, 16} -> - Complex[-0.055024457915968744`, -0.00875520102328074], {13, 17} -> - Complex[0.039373147369999854`, -0.022673347542931065`], {13, 18} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, 19} -> - Complex[0.039373147369999854`, -0.022673347542931065`], {13, 20} -> - Complex[0.17469085565385242`, 0.20815325028445178`], {13, 21} -> - Complex[0.12183252883416357`, 0.15881245002612598`], {13, 22} -> - Complex[-0.055024457915968744`, -0.00875520102328074], {13, 23} -> - Complex[0.06998304089724083, 0.09262495833114717], {13, 24} -> - Complex[0.3248309079027546, 0.], {13, 25} -> - Complex[-0.18045658269343973`, 0.06407563305713601], {13, 26} -> - Complex[-0.005254583355195047, 0.07911629825938535], {13, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {13, 28} -> - Complex[0.04387227616028566, -0.169253767952832], {13, 29} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {13, 30} -> - Complex[0.015573345706232422`, -0.33611710368003506`], {13, 31} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {13, 32} -> - Complex[0.11263046571451424`, 0.15943812713557814`], {13, 33} -> - Complex[-0.08996062722681389, 0.04963088270675587], {13, 34} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], {13, 35} -> - Complex[0.054818062753627404`, -0.18407880112585107`], {13, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {14, 15} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], {14, 16} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, 17} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], {14, 18} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, 19} -> - Complex[-0.12599372208886145`, -0.18913477597107048`], {14, 20} -> - Complex[0.047713220798493425`, 0.08361488922564436], {14, 21} -> - Complex[-0.042124735558062835`, 0.12231882955045151`], {14, 22} -> - Complex[-0.034285724395853735`, -0.1383242023528445], {14, 23} -> - Complex[0.35279363941541053`, 0.], {14, 24} -> - Complex[0.06998304089724083, -0.09262495833114717], {14, 25} -> - Complex[-0.017700618374932788`, 0.229189990199907], {14, 26} -> - Complex[-0.1376685276414912, 0.017279120496164], {14, 27} -> - Complex[0.19742335371429923`, 0.09763016245015396], {14, 28} -> - Complex[0.19754043867481771`, 0.06710821743420367], {14, 29} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {14, 30} -> - Complex[-0.03694461851812731, -0.11992171449363792`], {14, 31} -> - Complex[0.03210691866533716, -0.25866941133955584`], {14, 32} -> - Complex[0.20153478327455962`, -0.091416725802769], {14, 33} -> - Complex[-0.26044059541670533`, 0.05145411756901592], {14, 34} -> - Complex[-0.06287334385176857, 0.039875195608224154`], {14, 35} -> - Complex[-0.25377338518228143`, -0.22696868263028766`], {14, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], {15, 16} -> - Complex[0.18939927318289235`, 0.], {15, 17} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, 18} -> - Complex[0.012115526439909248`, -0.07586465949937707], {15, 19} -> - Complex[0.14452293041969513`, -0.1105782258057243], {15, 20} -> - Complex[0.012115526439909248`, -0.07586465949937707], {15, 21} -> - Complex[0.0018678498053481644`, -0.11355320674819902`], {15, 22} -> - Complex[0.18939927318289235`, 0.], {15, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {15, 24} -> - Complex[-0.055024457915968744`, 0.00875520102328074], {15, 25} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {15, 26} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {15, 27} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {15, 28} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {15, 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {15, 30} -> - Complex[-0.07025866437087314, 0.18394307455842968`], {15, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {15, 32} -> - Complex[-0.00498052152715275, 0.08042658142468531], {15, 33} -> - Complex[0.12372341411859573`, -0.16477324944202285`], {15, 34} -> - Complex[0.0896129289093057, 0.08670073786995046], {15, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {15, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {16, 17} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, 18} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, 19} -> - Complex[0.008173587051180226, 0.09795082074318642], {16, 20} -> - Complex[0.3520451599439639, -0.006012121161366684], {16, 21} -> - Complex[0.349552824256183, 0.], {16, 22} -> - Complex[0.0018678498053481644`, 0.11355320674819902`], {16, 23} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], {16, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {16, 25} -> - Complex[0.029111053747052022`, 0.03092252970487717], {16, 26} -> - Complex[0.09504874694484183, 0.252921972711526], {16, 27} -> - Complex[-0.13187039110424337`, 0.05577367679001426], {16, 28} -> - Complex[-0.16219964087949312`, -0.23052958058187878`], {16, 29} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {16, 30} -> - Complex[-0.3170629158392618, -0.07863950467973177], {16, 31} -> - Complex[-0.27597397639459753`, 0.2023899803882464], {16, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {16, 33} -> - Complex[0.27720818247658857`, 0.1557462430493763], {16, 34} -> - Complex[-0.10985803268384983`, 0.010763626429992096`], {16, 35} -> - Complex[0.07950629072406969, -0.15112987613524487`], {16, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {17, 18} -> - Complex[0.3905441579974116, 0.], {17, 19} -> - Complex[0.007773728117029734, 0.02423539675981027], {17, 20} -> - Complex[0.3905441579974116, 0.], {17, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {17, 22} -> - Complex[0.012115526439909248`, 0.07586465949937707], {17, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {17, 24} -> - Complex[0.17469085565385242`, -0.20815325028445178`], {17, 25} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {17, 26} -> - Complex[0.08241113354082491, 0.24960895170610842`], {17, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {17, 28} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {17, 29} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {17, 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {17, 31} -> - Complex[-0.24139750211906025`, 0.17856311543581216`], {17, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {17, 33} -> - Complex[0.20846784571655388`, 0.1346840497441242], {17, 34} -> - Complex[-0.1606002091580235, 0.04277649306205672], {17, 35} -> - Complex[0.020304980203947276`, -0.2448019195395177], {17, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {18, 19} -> - Complex[0.27470470789916873`, 0.], {18, 20} -> - Complex[0.007773728117029734, -0.02423539675981027], {18, 21} -> - Complex[0.008173587051180226, -0.09795082074318642], {18, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {18, 23} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {18, 24} -> - Complex[0.039373147369999854`, 0.022673347542931065`], {18, 25} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], {18, 26} -> - Complex[-0.004104217599466588, -0.09920939692115077], {18, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {18, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {18, 29} -> - Complex[-0.19090563198557167`, -0.11085568682814102`], {18, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {18, 31} -> - Complex[0.1302477399556314, 0.104114370134477], {18, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {18, 33} -> - Complex[0.09968546178967824, -0.1683352007294286], {18, 34} -> - Complex[-0.1355879777222275, 0.08845876363140671], {18, 35} -> - Complex[0.13747177730338656`, 0.016173756793363754`], {18, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {19, 20} -> - Complex[0.3905441579974116, 0.], {19, 21} -> - Complex[0.3520451599439639, 0.006012121161366684], {19, 22} -> - Complex[0.012115526439909248`, 0.07586465949937707], {19, 23} -> - Complex[0.047713220798493425`, -0.08361488922564436], {19, 24} -> - Complex[0.17469085565385242`, -0.20815325028445178`], {19, 25} -> - Complex[-0.018530669057524738`, 0.1016185353576046], {19, 26} -> - Complex[0.08241113354082491, 0.24960895170610842`], {19, 27} -> - Complex[-0.09261261877802832, 0.1270548580331935], {19, 28} -> - Complex[-0.14528807272467686`, -0.1963794168890443], {19, 29} -> - Complex[-0.041305971633540155`, -0.0475059953974924], {19, 30} -> - Complex[-0.3429240772478055, -0.12113458402956634`], {19, 31} -> - Complex[-0.24139750211906025`, 0.17856311543581216`], {19, 32} -> - Complex[0.09493687473979212, -0.05333192476596154], {19, 33} -> - Complex[0.20846784571655388`, 0.1346840497441242], {19, 34} -> - Complex[-0.1606002091580235, 0.04277649306205672], {19, 35} -> - Complex[0.020304980203947276`, -0.2448019195395177], {19, 36} -> - Complex[0.2104118170864423, 0.16206552873281407`], {20, 21} -> - Complex[0.008173587051180226, -0.09795082074318642], {20, 22} -> - Complex[0.14452293041969513`, 0.1105782258057243], {20, 23} -> - Complex[-0.12599372208886145`, 0.18913477597107048`], {20, 24} -> - Complex[0.039373147369999854`, 0.022673347542931065`], {20, 25} -> - Complex[-0.12879874504374314`, -0.15781559429956118`], {20, 26} -> - Complex[-0.004104217599466588, -0.09920939692115077], {20, 27} -> - Complex[-0.1350116019726202, 0.04516801561911384], {20, 28} -> - Complex[-0.27334468363839204`, 0.09375100770632477], {20, 29} -> - Complex[-0.19090563198557167`, -0.11085568682814102`], {20, 30} -> - Complex[-0.06511122587857304, 0.01569343622580683], {20, 31} -> - Complex[0.1302477399556314, 0.104114370134477], {20, 32} -> - Complex[-0.0863909413535702, 0.18155756040588286`], {20, 33} -> - Complex[0.09968546178967824, -0.1683352007294286], {20, 34} -> - Complex[-0.1355879777222275, 0.08845876363140671], {20, 35} -> - Complex[0.13747177730338656`, 0.016173756793363754`], {20, 36} -> - Complex[0.40662055959967014`, 0.11162748046866011`], {21, 22} -> - Complex[0.18939927318289235`, 0.], {21, 23} -> - Complex[-0.034285724395853735`, 0.1383242023528445], {21, 24} -> - Complex[-0.055024457915968744`, 0.00875520102328074], {21, 25} -> - Complex[-0.10573743372545524`, -0.06148505498780174], {21, 26} -> - Complex[-0.016434880239505067`, 0.02799549139813756], {21, 27} -> - Complex[-0.11316770831298564`, 0.08944943686956167], {21, 28} -> - Complex[-0.13637897517564893`, 0.21978330419104863`], {21, 29} -> - Complex[-0.218113151712259, -0.025091517498334166`], {21, 30} -> - Complex[-0.07025866437087314, 0.18394307455842968`], {21, 31} -> - Complex[0.06561103865616492, 0.04037752804772983], {21, 32} -> - Complex[-0.00498052152715275, 0.08042658142468531], {21, 33} -> - Complex[0.12372341411859573`, -0.16477324944202285`], {21, 34} -> - Complex[0.0896129289093057, 0.08670073786995046], {21, 35} -> - Complex[0.1862561519544158, -0.11528023790296092`], {21, 36} -> - Complex[0.23903733008036765`, -0.09626849124511486], {22, 23} -> - Complex[-0.042124735558062835`, -0.12231882955045151`], {22, 24} -> - Complex[0.12183252883416357`, -0.15881245002612598`], {22, 25} -> - Complex[0.029111053747052022`, 0.03092252970487717], {22, 26} -> - Complex[0.09504874694484183, 0.252921972711526], {22, 27} -> - Complex[-0.13187039110424337`, 0.05577367679001426], {22, 28} -> - Complex[-0.16219964087949312`, -0.23052958058187878`], {22, 29} -> - Complex[-0.02849651545902821, -0.13038883546342855`], {22, 30} -> - Complex[-0.3170629158392618, -0.07863950467973177], {22, 31} -> - Complex[-0.27597397639459753`, 0.2023899803882464], {22, 32} -> - Complex[0.01768967427913295, -0.07030539787536907], {22, 33} -> - Complex[0.27720818247658857`, 0.1557462430493763], {22, 34} -> - Complex[-0.10985803268384983`, 0.010763626429992096`], {22, 35} -> - Complex[0.07950629072406969, -0.15112987613524487`], {22, 36} -> - Complex[0.15935941360240716`, 0.2513470741842914], {23, 24} -> - Complex[0.3248309079027546, 0.], {23, 25} -> - Complex[-0.18045658269343973`, 0.06407563305713601], {23, 26} -> - Complex[-0.005254583355195047, 0.07911629825938535], {23, 27} -> - Complex[-0.09249860156321268, 0.12601316051490963`], {23, 28} -> - Complex[0.04387227616028566, -0.169253767952832], {23, 29} -> - Complex[-0.044451718879691376`, 0.06462209257745277], {23, 30} -> - Complex[0.015573345706232422`, -0.33611710368003506`], {23, 31} -> - Complex[-0.1091396557759862, 0.054766912594803374`], {23, 32} -> - Complex[0.11263046571451424`, 0.15943812713557814`], {23, 33} -> - Complex[-0.08996062722681389, 0.04963088270675587], {23, 34} -> - Complex[-0.24146580052003364`, -0.11027596484454191`], {23, 35} -> - Complex[0.054818062753627404`, -0.18407880112585107`], {23, 36} -> - Complex[0.17723552972332096`, 0.10589894970182726`], {24, 25} -> - Complex[-0.017700618374932788`, 0.229189990199907], {24, 26} -> - Complex[-0.1376685276414912, 0.017279120496164], {24, 27} -> - Complex[0.19742335371429923`, 0.09763016245015396], {24, 28} -> - Complex[0.19754043867481771`, 0.06710821743420367], {24, 29} -> - Complex[0.10074068312316217`, 0.24982130549270182`], {24, 30} -> - Complex[-0.03694461851812731, -0.11992171449363792`], {24, 31} -> - Complex[0.03210691866533716, -0.25866941133955584`], {24, 32} -> - Complex[0.20153478327455962`, -0.091416725802769], {24, 33} -> - Complex[-0.26044059541670533`, 0.05145411756901592], {24, 34} -> - Complex[-0.06287334385176857, 0.039875195608224154`], {24, 35} -> - Complex[-0.25377338518228143`, -0.22696868263028766`], {24, 36} -> - Complex[-0.14489279565325286`, -0.18558736962752792`], {25, 26} -> - Complex[0.35884454526493437`, 0.], {25, 27} -> - Complex[0.026461024624226184`, 0.17157026853359011`], {25, 28} -> - Complex[-0.10523618574474686`, -0.07147202526604769], {25, 29} -> - Complex[-0.07072413917244547, 0.06080711260518379], {25, 30} -> - Complex[0.017491034151456156`, 0.1422934683362202], {25, 31} -> - Complex[0.04881033618836923, 0.3767537051917446], {25, 32} -> - Complex[-0.06540345886434173, -0.03247283136099954], {25, 33} -> - Complex[0.15643971909026363`, -0.21034493673282548`], {25, 34} -> - Complex[-0.07901145315910152, -0.12060096224364471`], {25, 35} -> - Complex[-0.17746045053315712`, -0.2097207706920651], {25, 36} -> - Complex[0.12697363466636613`, 0.017287640275502197`], {26, 27} -> - Complex[0.14020706236902425`, -0.157106453123418], {26, 28} -> - Complex[-0.002703366170010074, -0.1342165202528226], {26, 29} -> - Complex[0.2158761295291703, -0.079839801475396], {26, 30} -> - Complex[-0.09078438719781487, 0.08387695970470208], {26, 31} -> - Complex[-0.05197448003562596, -0.034035129192128775`], {26, 32} -> - Complex[-0.10297491838992004`, -0.24585233281751626`], {26, 33} -> - Complex[0.07182371169440027, 0.13961968957305576`], {26, 34} -> - Complex[0.03971739520512007, 0.01279589611612527], {26, 35} -> - Complex[-0.2191443754011676, 0.15579730043133583`], {26, 36} -> - Complex[-0.28325062776683585`, 0.15967643343543628`], {27, 28} -> - Complex[0.4666612200115955, 0.], {27, 29} -> - Complex[0.13690201400056437`, 0.21116370706323376`], {27, 30} -> - Complex[0.32107941916226146`, -0.09232207202497354], {27, 31} -> - Complex[-0.10668413246766638`, -0.2594729794590618], {27, 32} -> - Complex[0.10082205206266875`, -0.054783259519745345`], {27, 33} -> - Complex[-0.2841944960267362, 0.0881056163125139], {27, 34} -> - 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Documentation Center URL\"" :> @@ -188,14 +188,14 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> MenuStyle->"URLMenu"], MouseAppearanceTag["LinkHand"]]], LineSpacing->{1.4, 0},ExpressionUUID-> - "b8548f0d-a2a7-40cc-ab6a-1457b6e5cb0d"] + "e28b5a03-c1a5-4e5e-a9fa-b91d34c024eb"] }], "AnchorBar", CacheGraphics->False,ExpressionUUID-> - "64f93ee5-dcfa-4c7b-85cc-4c0c36e27d3e"]} + "ec48ca07-c19a-40b9-bfbf-cb65a5b4f075"]} }]], "AnchorBarGrid", - CellID->1,ExpressionUUID->"ea90917c-9d7c-4d34-b60a-4a627f2f0f5c"], + CellID->1,ExpressionUUID->"b6d7d8f5-8632-4f13-a602-d48e92fc3899"], -Cell["Q3`", "ContextNameCell",ExpressionUUID->"0226457e-3735-472b-b674-51e287a16b08"], +Cell["Q3`", "ContextNameCell",ExpressionUUID->"085b651d-d5c7-4590-96cb-2e89edd35686"], Cell[CellGroupData[{ @@ -203,14 +203,14 @@ Cell[BoxData[GridBox[{ {Cell[TextData[{ Cell[ "WickState", "ObjectName",ExpressionUUID-> - "db4a82fc-f5be-4ffc-bea1-291e07ec0066"], + "5355a201-1254-48dd-86c8-408d605dc6d3"], Cell[BoxData[ TemplateBox[{8}, - "Spacer1"]],ExpressionUUID->"96351b08-84f8-457b-a029-6dc0e19f6cdc"], + "Spacer1"]],ExpressionUUID->"dae8de51-56bb-4642-9822-b355fdaffa5e"], Cell[BoxData[ ""], "ObjectNameTranslation",ExpressionUUID-> - "cd52d2fe-fcdf-46c7-98f7-0981abceafb3"] - }],ExpressionUUID->"5426342c-1af2-4b16-9aa8-37ce436d8bd3"], Cell[BoxData[ + "87e51e21-767f-4d35-b5f3-1b1c5cafcd04"] + }],ExpressionUUID->"22bed2de-014a-4881-ae83-72186df07b21"], Cell[BoxData[ TooltipBox[ StyleBox[ TagBox[ @@ -235,9 +235,9 @@ Cell[BoxData[GridBox[{ "New in 14", TooltipDelay->0.3]], Magnification->1,ExpressionUUID-> - "5d573473-d5e9-4156-8726-8fda8da7398c"]} + "f61bd689-ae25-4cc5-adba-5caf9adc84d8"]} }]], "ObjectNameGrid", - CacheGraphics->False,ExpressionUUID->"b7108660-df68-4023-89e7-59c2bf65c0a3"], + CacheGraphics->False,ExpressionUUID->"e375cca2-3201-474a-ae05-ff65c3bba2a4"], Cell[BoxData[GridBox[{ {"", Cell[TextData[{ @@ -521,7 +521,7 @@ decoherence at evolution stage ", FontFamily->"Source Sans Pro",ExpressionUUID-> "bf6db4c3-fae5-4ff4-8927-58485d25d432"], "." - }],ExpressionUUID->"b2665fb0-9c35-42eb-9db9-8366766c1913"]}, + }],ExpressionUUID->"87d21c8a-bec4-4e22-be25-67d11ee94f97"]}, {"", Cell[TextData[{ Cell[BoxData[ RowBox[{ @@ -754,7 +754,7 @@ decoherence at evolution stage ", FontFamily->"Source Sans Pro",ExpressionUUID-> "f4323ac2-71e0-40a4-9e1e-519df852645e"], "." - }],ExpressionUUID->"f7a91024-af38-4cec-b319-275d93b593c1"]} + }],ExpressionUUID->"5f9483c2-dcaa-47fd-b600-e2ce26c9fb96"]} }]], "Usage", CellID->1766051640,ExpressionUUID->"e9e0ddad-da90-42de-b204-2e6f153ca21f"] }, Open ]], @@ -787,12 +787,12 @@ Cell[TextData[Cell[BoxData[ PlotRange -> {{-3, 4}, {-1, 1}}, ImageSize -> 20], Magnification -> 0.68 Inherited], Rational[1, 2] Pi, {-1.65, -1}]]], ImageSizeCache->{14., {0.45000000000000107`, 13.549999999999999`}}]], - ExpressionUUID->"4978d250-b69e-491b-890a-7e9728997a24"], + ExpressionUUID->"7871a3c8-1eaa-4cdd-bbdb-56587ec36001"], Cell[BoxData[ TemplateBox[{1}, - "Spacer1"]],ExpressionUUID->"cadc30c7-7b28-4354-8fc9-ea08814a450e"], + "Spacer1"]],ExpressionUUID->"9c7614cb-3b15-4591-9417-8da1224f5528"], "Details and Options" - }], "NotesFrameText",ExpressionUUID->"dccb8e68-acf6-4d6e-8b1f-a5cf5e3cd210"], + }], "NotesFrameText",ExpressionUUID->"f47c7e28-744c-4c72-ac34-50b127dca29d"], Appearance->{Automatic, None, "Normal", Automatic}, BaseStyle->None, ButtonFunction:>(FrontEndExecute[{ @@ -803,12 +803,12 @@ Cell[TextData[Cell[BoxData[ FrontEnd`SelectedNotebook[], After, CellContents]}]& ), Evaluator->None, Method-> - "Preemptive"]],ExpressionUUID->"bd6494ca-93dd-4629-b652-4aa7ff9850e0"]], \ + "Preemptive"]],ExpressionUUID->"9bb622fe-777e-4f58-8664-cf6f1bcbfd46"]], \ "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, CacheGraphics->False, - CellID->358927123,ExpressionUUID->"887a3bd6-ded6-449f-aed0-f58f582497b6"], + CellID->1810076105,ExpressionUUID->"2c782f3e-d19e-4d7f-90f3-eb729db619f0"], Cell[TextData[{ "Let ", @@ -1324,19 +1324,19 @@ Cell[TextData[{ PlotRange -> {{-3, 4}, {-1, 1}}, ImageSize -> 20], Magnification -> 0.68 Inherited], Rational[1, 2] Pi, {-1.65, -1}]]], ImageSizeCache->{14., {5., 9.}}]],ExpressionUUID-> - "46d44502-77c3-468b-93e8-03106124f670"], + "b0346cdd-adf8-450d-a421-d27bb16ce815"], Cell[BoxData[ TemplateBox[{1}, - "Spacer1"]],ExpressionUUID->"31c7b320-7f6e-4d84-9ff7-aea2a3c88ec0"], + "Spacer1"]],ExpressionUUID->"5c58cc85-90f9-4080-bad0-f68af5bee6ea"], "Examples", "\[NonBreakingSpace]\[NonBreakingSpace]", Cell["(2)", "ExampleCount",ExpressionUUID-> - "f3ecb889-164c-493e-9374-e9e7652d8617"] + "578cc87b-8d5e-40b9-837d-0d13f36df9fa"] }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CacheGraphics->False, CellTags->"PrimaryExamplesSection", - CellID->206591838,ExpressionUUID->"8c305618-5a55-4576-8424-60a0ef23bbc6"], + CellID->695753333,ExpressionUUID->"70b45744-9555-4461-bc04-06f8f1c18c49"], Cell[BoxData[ RowBox[{"Needs", "[", "\"\\"", "]"}]], "Input", "ExampleInitialization", @@ -1370,18 +1370,18 @@ Cell[TextData[{ PlotRange -> {{-3, 4}, {-1, 1}}, ImageSize -> 20], Magnification -> 0.68 Inherited], Rational[1, 2] Pi, {-1.65, -1}]]], ImageSizeCache->{14., {5., 9.}}]],ExpressionUUID-> - "a317db09-0969-480d-b427-4b874c01e449"], + "3a70a89a-b240-47b7-ae61-df61197c2aa1"], Cell[BoxData[ TemplateBox[{1}, - "Spacer1"]],ExpressionUUID->"52825c5b-e0a7-4a5a-8a19-be6fb9c5d05f"], + "Spacer1"]],ExpressionUUID->"39890dec-016b-46a9-bc9c-ba04f05ef42e"], "Basic Examples", "\[NonBreakingSpace]\[NonBreakingSpace]", Cell["(2)", "ExampleCount",ExpressionUUID-> - "85bb9a78-20bc-404c-8fa4-35bd9b0edb70"] + "b9d03b71-00bf-4381-a889-9b5975dd1e08"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, CacheGraphics->False, - CellID->1855447714,ExpressionUUID->"a01ce685-3fe8-4148-bf1e-590413a626da"], + CellID->477809816,ExpressionUUID->"19a59947-d93e-46f5-a02b-5128a5ce6b66"], Cell[TextData[{ "Consider a Kitaev chain consisting of ", @@ -1440,7 +1440,7 @@ Cell[BoxData[ "RowWithSeparators"]], $CellContext`c[4]]}], "}"}]], "Output", CellLabel->"Out[2]=", - CellID->413154735,ExpressionUUID->"f62c1aa4-e0a8-42fb-a165-13fbdc5fad44"], + CellID->1982145023,ExpressionUUID->"a04a8062-ec64-457b-9a5f-8d7c9055cdb0"], Cell[BoxData[ RowBox[{"{", @@ -1494,7 +1494,7 @@ Cell[BoxData[ Q3`Dagger[ $CellContext`c[4]]]}], "}"}]], "Output", CellLabel->"Out[2]=", - CellID->1077000394,ExpressionUUID->"bc9a2687-f849-434b-90fb-3a6765771879"] + CellID->2145069297,ExpressionUUID->"97feb138-037b-46ae-8afc-628dd6fc9be4"] }, Open ]], Cell[CellGroupData[{ @@ -1646,7 +1646,7 @@ PRbgHgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+CP/B2e15v4= PlotRange->{{0, 439.}, {0, 36.}}]], "Output", CellTags->"RasterizedOutput", CellLabel->"Out[3]=", - CellID->899691111,ExpressionUUID->"766a8ba8-ebf7-4495-8746-7ffde920d003"] + CellID->1108221379,ExpressionUUID->"b908f368-f181-4ded-a2d7-89c0eb4f655a"] }, Open ]], Cell["\<\ @@ -1835,7 +1835,7 @@ Cell[BoxData[ ImageSize->Large, PlotRangePadding->Automatic]], "Output", CellLabel->"Out[4]=", - CellID->1416238676,ExpressionUUID->"3de49d93-8749-4585-81da-ccbac42d1a0c"] + CellID->1771562390,ExpressionUUID->"8da04508-42d5-4731-9559-b8af452d5ccb"] }, Open ]], Cell["\<\ @@ -1957,7 +1957,7 @@ Cell[BoxData[ Rational[-1, 2] $CellContext`\[CapitalDelta], Rational[1, 2] $CellContext`t, Rational[1, 2]}}]]]]], "Output", CellLabel->"Out[5]//MatrixForm=", - CellID->888204174,ExpressionUUID->"ce0f3ab1-713e-4322-aed1-50b3673942ac"] + CellID->520375262,ExpressionUUID->"b3fd84f9-c62b-42ac-b909-8aab0d4dea74"] }, Open ]], Cell["\<\ @@ -2152,7 +2152,7 @@ Cell[BoxData[ Function[BoxForm`e$, MatrixForm[BoxForm`e$]]]], "Output", CellLabel->"Out[6]//MatrixForm=", - CellID->101526361,ExpressionUUID->"b5213751-f205-4fa0-a58b-76f07be36b39"] + CellID->349793711,ExpressionUUID->"0884371b-9b00-497c-935c-42580edd0f72"] }, Open ]], Cell["\<\ @@ -2284,7 +2284,7 @@ Cell[BoxData[ Function[BoxForm`e$, MatrixForm[BoxForm`e$]]]], "Output", CellLabel->"Out[7]//MatrixForm=", - CellID->556586352,ExpressionUUID->"bab00ec8-70ce-40f8-aa34-040a3359d0e0"], + CellID->1542649436,ExpressionUUID->"21010b28-11c3-4396-8781-1a28cd40825b"], Cell[BoxData[ TagBox[ @@ -2344,7 +2344,7 @@ Cell[BoxData[ Function[BoxForm`e$, MatrixForm[BoxForm`e$]]]], "Output", CellLabel->"Out[7]//MatrixForm=", - CellID->108051732,ExpressionUUID->"cde1e561-9089-4801-bcad-537aa7484670"] + CellID->739000621,ExpressionUUID->"d44b7077-345a-4b16-bc79-74f3a1f18794"] }, Open ]], Cell[TextData[{ @@ -2722,7 +2722,7 @@ Cell[BoxData[ TagBox[ InterpretationBox[ RowBox[{ - TagBox["NambuTransforms", "SummaryHead"], "[", + TagBox["NambuMatrices", "SummaryHead"], "[", DynamicModuleBox[{ Typeset`open$$ = False, Typeset`embedState$$ = "Ready"}, @@ -3301,8 +3301,8 @@ HACo2sx4 Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, - 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, + 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -3312,9 +3312,8 @@ HACo2sx4 Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], - Complex[-1.1079404292422813`*^-8, - 3.3198626353948343`*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, @@ -3331,13 +3330,13 @@ HACo2sx4 PaneBox[ ButtonBox[ DynamicBox[ - FEPrivate`FrontEndResource["FEBitmaps", - "SummaryBoxOpener"]], ButtonFunction :> (Typeset`open$$ = - True), Appearance -> None, BaseStyle -> {}, Evaluator -> - Automatic, Method -> "Preemptive"], Alignment -> { - Center, Center}, ImageSize -> Dynamic[{Automatic, - 3.5 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[ - Magnification])}]], + FEPrivate`FrontEndResource[ + "FEBitmaps", "SummaryBoxOpener"]], ButtonFunction :> ( + Typeset`open$$ = True), Appearance -> None, + BaseStyle -> {}, Evaluator -> Automatic, Method -> + "Preemptive"], Alignment -> {Center, Center}, ImageSize -> + Dynamic[{Automatic, 3.5 (CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification])}]], GridBox[{{ RowBox[{ TagBox["\"Type: \"", "SummaryItemAnnotation"], @@ -3460,27 +3459,27 @@ HACo2sx4 "Rows" -> {{Automatic}}}, BaselinePosition -> {1, 1}]}, Dynamic[Typeset`open$$], ImageSize -> Automatic]}, "SummaryPanel"], DynamicModuleValues :> {}], "]"}], {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { Complex[-9.943302374432365*^-21, \ --3.3214464132085747`*^-7], +-3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], @@ -4143,11 +4142,9 @@ HACo2sx4 Complex[7.894016335854154*^-6, 0.008602132075960674], Complex[3.469446951953614*^-18, -0.2780792901080426], - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], + Complex[-7.89401633587497*^-6, -1.5178830414797064`*^-18], Complex[0.0013060825544481298`, 0.2780792901080425]}, { - - Complex[-3.2526065174565133`*^-19, \ --0.00007843130586222762], + Complex[-3.252606517456514*^-19, -0.00007843130586222762], Complex[-7.894016335826398*^-6, 0.00860213207596067], Complex[0.0013060825544481298`, -0.2780792901080425], Complex[-0.08602810901114219, 1.734723475976807*^-18]}}, @@ -4180,8 +4177,8 @@ HACo2sx4 Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, - 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, + 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -4191,33 +4188,32 @@ HACo2sx4 Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], - Complex[-1.1079404292422813`*^-8, - 3.3198626353948343`*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { Complex[-9.943302374432365*^-21, \ --3.3214464132085747`*^-7], +-3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], @@ -4294,11 +4290,9 @@ HACo2sx4 Complex[7.894016335854154*^-6, 0.008602132075960674], Complex[3.469446951953614*^-18, -0.2780792901080426], - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], + Complex[-7.89401633587497*^-6, -1.5178830414797064`*^-18], Complex[0.0013060825544481298`, 0.2780792901080425]}, { - - Complex[-3.2526065174565133`*^-19, \ --0.00007843130586222762], + Complex[-3.252606517456514*^-19, -0.00007843130586222762], Complex[-7.894016335826398*^-6, 0.00860213207596067], Complex[0.0013060825544481298`, -0.2780792901080425], Complex[-0.08602810901114219, 1.734723475976807*^-18]}}}}, @@ -4598,7 +4592,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[0.9751371712736823, -0.09850607189743646], {1, 4} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], \ {1, 5} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 6} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], { + Complex[1.6727401305043305`*^-18, 0.09916907966616016], { 1, 7} -> Complex[ 0.0002620773276979446, 0.002603237866672337], {1, 8} -> Complex[7.0302419351298*^-7, -0.002613753063531294], {1, @@ -4607,13 +4601,13 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[7.0302419351298*^-7, -0.002613753063531294], {1, 11} -> Complex[-0.009916907974532265, \ -0.09883807384038253], {1, 12} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], { + Complex[1.6727401305043305`*^-18, 0.09916907966616016], { 1, 13} -> Complex[ 0.9751371712736823, -0.09850607189743646], {1, 14} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], \ {1, 16} -> 1, {2, 3} -> Complex[ 0.000016594573282932862`, 0.0003313378120411798], {2, 4} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], { + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], { 2, 5} -> Complex[-0.009933502547815196, -0.09883740970947764], {2, 6} -> Complex[-0.000016605652687225828`, \ @@ -4627,7 +4621,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp -0.09916907966616018], {2, 13} -> Complex[ 0.000016594573282932862`, 0.0003313378120411798], {2, 14} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], { + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], { 2, 15} -> 1, {3, 4} -> Complex[0.01966912300437454, 0.], {3, 5} -> Complex[0.00976883383345901, 0.09670511030136163], {3, 6} -> @@ -4643,7 +4637,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp {3, 13} -> Complex[6.938893903907228*^-18, -4.336808689942018*^-19], {3, 14} -> Complex[0.01966912300437454, 0.], {3, 15} -> Complex[ - 1.1079404294454617`*^-8, -0.0003316699566825008], {3, 16} -> + 1.1079404294454619`*^-8, -0.0003316699566825008], {3, 16} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], { 4, 5} -> Complex[ 0.00006578280908219793, -4.254244153408405*^-17], {4, 6} -> @@ -4669,7 +4663,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 0.01942284716938378, 0.09330760721542969], {5, 10} -> Complex[-0.0002598580324258793, 0.003888044555498485], {5, 11} -> - Complex[-1.5523466945211156`*^-18, \ + Complex[-1.552346694521116*^-18, \ -1.2661074609920407`*^-19], {5, 12} -> Complex[0.019669123004374556`, 0.], {5, 13} -> Complex[-0.009768833833459008, -0.09670511030136167], {5, @@ -4677,7 +4671,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 7.28006620191595*^-19], {5, 15} -> Complex[-0.000016605652687225828`, 0.09916907966616018], { 5, 16} -> Complex[ - 1.6727401305043303`*^-18, -0.09916907966616016], {6, 7} -> + 1.6727401305043305`*^-18, -0.09916907966616016], {6, 7} -> Complex[-0.009673644515389308, -0.09494936515397917], {6, 8} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 9} -> @@ -4685,7 +4679,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 10} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 11} -> Complex[0.9803308769956256, 0.], {6, 12} -> - Complex[-1.5523466945211156`*^-18, + Complex[-1.552346694521116*^-18, 1.2661074609920407`*^-19], {6, 13} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], { 6, 14} -> Complex[ @@ -4695,7 +4689,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 0.09883807384038253], {7, 8} -> Complex[0.03895158675127773, 0.], {7, 9} -> Complex[-4.787980228365168*^-18, \ --2.6488597589047426`*^-18], {7, 10} -> +-2.648859758904743*^-18], {7, 10} -> Complex[0.03895158675127773, 0.], {7, 11} -> Complex[-0.019439452822070994`, -0.1924766868815898], {7, 12} -> Complex[-0.0002598580324258793, \ @@ -4707,7 +4701,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[7.0302419351298*^-7, 0.002613753063531294], {8, 9} -> Complex[0.9610484132487226, 0.], {8, 10} -> Complex[-4.787980228365168*^-18, - 2.6488597589047426`*^-18], {8, 11} -> + 2.648859758904743*^-18], {8, 11} -> Complex[-0.009673644515389308, 0.09494936515397917], {8, 12} -> Complex[ 0.01942284716938378, -0.09330760721542969], {8, 13} -> @@ -4741,7 +4735,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp 7.28006620191595*^-19], {11, 15} -> Complex[-0.000016605652687225828`, 0.09916907966616018], { 11, 16} -> - Complex[1.6727401305043303`*^-18, -0.09916907966616016], { + Complex[1.6727401305043305`*^-18, -0.09916907966616016], { 12, 13} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], { 12, 14} -> @@ -4751,7 +4745,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.009916907974532265, 0.09883807384038253], {13, 14} -> Complex[0.01966912300437454, 0.], {13, 15} -> Complex[ - 1.1079404294454617`*^-8, -0.0003316699566825008], {13, + 1.1079404294454619`*^-8, -0.0003316699566825008], {13, 16} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], {14, 15} -> Complex[ @@ -4800,7 +4794,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[0.9850706849009015, 0.09916907966616015], Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -4809,23 +4803,23 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { - Complex[-1.1079404292422813`*^-8, 3.3198626353948343`*^-7], + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { - Complex[-9.943302374432365*^-21, -3.3214464132085747`*^-7], + Complex[-9.943302374432365*^-21, -3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], Complex[-0.00995010820050242, 2.083853062282483*^-19]}}}, {{{ @@ -4887,9 +4881,9 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-7.894016335826398*^-6, -0.008602132075960672]}, { Complex[7.894016335854154*^-6, 0.008602132075960674], Complex[3.469446951953614*^-18, -0.2780792901080426], - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], + Complex[-7.89401633587497*^-6, -1.5178830414797064`*^-18], Complex[0.0013060825544481298`, 0.2780792901080425]}, { - Complex[-3.2526065174565133`*^-19, -0.00007843130586222762], + Complex[-3.252606517456514*^-19, -0.00007843130586222762], Complex[-7.894016335826398*^-6, 0.00860213207596067], Complex[0.0013060825544481298`, -0.2780792901080425], Complex[-0.08602810901114219, 1.734723475976807*^-18]}}}}, @@ -4899,18 +4893,18 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[0.9751371712736823, -0.09850607189743646], {1, 4} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], {1, 5} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 6} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], {1, 7} -> + Complex[1.6727401305043305`*^-18, 0.09916907966616016], {1, 7} -> Complex[0.0002620773276979446, 0.002603237866672337], {1, 8} -> Complex[7.0302419351298*^-7, -0.002613753063531294], {1, 9} -> Complex[0.0002620773276979446, 0.002603237866672337], {1, 10} -> Complex[7.0302419351298*^-7, -0.002613753063531294], {1, 11} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 12} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], {1, 13} -> + Complex[1.6727401305043305`*^-18, 0.09916907966616016], {1, 13} -> Complex[0.9751371712736823, -0.09850607189743646], {1, 14} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], {1, 16} -> 1, {2, 3} -> Complex[0.000016594573282932862`, 0.0003313378120411798], {2, 4} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], {2, 5} -> + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], {2, 5} -> Complex[-0.009933502547815196, -0.09883740970947764], {2, 6} -> Complex[-0.000016605652687225828`, -0.09916907966616018], {2, 7} -> Complex[0.9411238678566561, -0.19341019859437134`], {2, 8} -> @@ -4920,7 +4914,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.009933502547815196, -0.09883740970947764], {2, 12} -> Complex[-0.000016605652687225828`, -0.09916907966616018], {2, 13} -> Complex[0.000016594573282932862`, 0.0003313378120411798], {2, 14} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], {2, 15} -> + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], {2, 15} -> 1, {3, 4} -> Complex[0.01966912300437454, 0.], {3, 5} -> Complex[0.00976883383345901, 0.09670511030136163], {3, 6} -> Complex[-0.00006578280908219912, -7.28006620191595*^-19], {3, 7} -> @@ -4932,7 +4926,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.00006578280908219912, -7.28006620191595*^-19], {3, 13} -> Complex[6.938893903907228*^-18, -4.336808689942018*^-19], {3, 14} -> Complex[0.01966912300437454, 0.], {3, 15} -> - Complex[1.1079404294454617`*^-8, -0.0003316699566825008], {3, 16} -> + Complex[1.1079404294454619`*^-8, -0.0003316699566825008], {3, 16} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], {4, 5} -> Complex[0.00006578280908219793, -4.254244153408405*^-17], {4, 6} -> Complex[-0.009768833833459008, 0.09670511030136167], {4, 7} -> @@ -4951,24 +4945,24 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.0002598580324258793, 0.003888044555498485], {5, 9} -> Complex[0.01942284716938378, 0.09330760721542969], {5, 10} -> Complex[-0.0002598580324258793, 0.003888044555498485], {5, 11} -> - Complex[-1.5523466945211156`*^-18, -1.2661074609920407`*^-19], {5, 12} -> + Complex[-1.552346694521116*^-18, -1.2661074609920407`*^-19], {5, 12} -> Complex[0.019669123004374556`, 0.], {5, 13} -> Complex[-0.009768833833459008, -0.09670511030136167], {5, 14} -> Complex[-0.00006578280908219912, 7.28006620191595*^-19], {5, 15} -> Complex[-0.000016605652687225828`, 0.09916907966616018], {5, 16} -> - Complex[1.6727401305043303`*^-18, -0.09916907966616016], {6, 7} -> + Complex[1.6727401305043305`*^-18, -0.09916907966616016], {6, 7} -> Complex[-0.009673644515389308, -0.09494936515397917], {6, 8} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 9} -> Complex[-0.009673644515389308, -0.09494936515397917], {6, 10} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 11} -> Complex[0.9803308769956256, 0.], {6, 12} -> - Complex[-1.5523466945211156`*^-18, 1.2661074609920407`*^-19], {6, 13} -> + Complex[-1.552346694521116*^-18, 1.2661074609920407`*^-19], {6, 13} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], {6, 14} -> Complex[0.00976883383345901, -0.09670511030136163], {6, 15} -> Complex[-0.009933502547815196, 0.09883740970947764], {6, 16} -> Complex[-0.009916907974532265, 0.09883807384038253], {7, 8} -> Complex[0.03895158675127773, 0.], {7, 9} -> - Complex[-4.787980228365168*^-18, -2.6488597589047426`*^-18], {7, 10} -> + Complex[-4.787980228365168*^-18, -2.648859758904743*^-18], {7, 10} -> Complex[0.03895158675127773, 0.], {7, 11} -> Complex[-0.019439452822070994`, -0.1924766868815898], {7, 12} -> Complex[-0.0002598580324258793, -0.003888044555498485], {7, 13} -> @@ -4977,7 +4971,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[0.03920689940953653, 0.], {7, 16} -> Complex[7.0302419351298*^-7, 0.002613753063531294], {8, 9} -> Complex[0.9610484132487226, 0.], {8, 10} -> - Complex[-4.787980228365168*^-18, 2.6488597589047426`*^-18], {8, 11} -> + Complex[-4.787980228365168*^-18, 2.648859758904743*^-18], {8, 11} -> Complex[-0.009673644515389308, 0.09494936515397917], {8, 12} -> Complex[0.01942284716938378, -0.09330760721542969], {8, 13} -> Complex[0.019195862749159683`, -0.0002922745793314728], {8, 14} -> @@ -5001,13 +4995,13 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp Complex[-0.009768833833459008, -0.09670511030136167], {11, 14} -> Complex[-0.00006578280908219912, 7.28006620191595*^-19], {11, 15} -> Complex[-0.000016605652687225828`, 0.09916907966616018], {11, 16} -> - Complex[1.6727401305043303`*^-18, -0.09916907966616016], {12, 13} -> + Complex[1.6727401305043305`*^-18, -0.09916907966616016], {12, 13} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], {12, 14} -> Complex[0.00976883383345901, -0.09670511030136163], {12, 15} -> Complex[-0.009933502547815196, 0.09883740970947764], {12, 16} -> Complex[-0.009916907974532265, 0.09883807384038253], {13, 14} -> Complex[0.01966912300437454, 0.], {13, 15} -> - Complex[1.1079404294454617`*^-8, -0.0003316699566825008], {13, 16} -> + Complex[1.1079404294454619`*^-8, -0.0003316699566825008], {13, 16} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], {14, 15} -> Complex[0.000016594573282932862`, -0.0003313378120411798], {14, 16} -> Complex[0.9751371712736823, 0.09850607189743646]}, @@ -5020,7 +5014,7 @@ W/dfEn9o75ukvUaat7T4j+X+S1tf0n9J85DUpyT9QNprtHhaf2jjLf3ZalVp SelectWithContents->True, Selectable->False]], "Output", CellLabel->"Out[8]=", - CellID->172884614,ExpressionUUID->"cb14def5-e72d-4d85-90e4-265fdc351686"] + CellID->635757137,ExpressionUUID->"cb892db8-18be-4a11-8d5d-5677fc57731a"] }, Open ]], Cell["\<\ @@ -5042,7 +5036,7 @@ Cell[BoxData[ Cell[BoxData["0.00019451889857407487`"], "Output", CellLabel->"Out[9]=", - CellID->1964196010,ExpressionUUID->"2dd93251-c0e6-4ff0-a276-e5805ebe9ae2"] + CellID->320135365,ExpressionUUID->"3a865303-da13-4b61-ba0a-bed95de5bbd6"] }, Open ]], Cell[CellGroupData[{ @@ -5201,7 +5195,7 @@ Cell[BoxData[ TagBox[ InterpretationBox[ RowBox[{ - TagBox["NambuTransforms", "SummaryHead"], "[", + TagBox["NambuMatrices", "SummaryHead"], "[", DynamicModuleBox[{ Typeset`open$$ = False, Typeset`embedState$$ = "Ready"}, @@ -5867,7 +5861,7 @@ MHsB6BbE9A== SelectWithContents->True, Selectable->False]], "Output", CellLabel->"Out[10]=", - CellID->988862431,ExpressionUUID->"47f8e437-82c8-4c1d-b0ca-ed3b8fea3d3f"] + CellID->19298252,ExpressionUUID->"a9f83c45-7844-41c1-b0e2-0187b8c5a9f4"] }, Open ]], Cell[CellGroupData[{ @@ -5875,11 +5869,11 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"vec", "[", "1", "]"}], "=", - RowBox[{"WickOperate", "[", - RowBox[{ + RowBox[{ + RowBox[{"WickUnitary", "[", RowBox[{"{", - RowBox[{"u", ",", " ", "v"}], "}"}], ",", " ", - RowBox[{"vec", "[", "0", "]"}]}], "]"}]}]], "Input", + RowBox[{"u", ",", " ", "v"}], "}"}], "]"}], "[", + RowBox[{"vec", "[", "0", "]"}], "]"}]}]], "Input", CellProlog:>Needs["Q3`"], CellLabel->"In[11]:=", CellID->995560812,ExpressionUUID->"ef58f817-248f-4754-ad13-8150a2b644ca"], @@ -6024,7 +6018,7 @@ Cell[BoxData[ TagBox[ InterpretationBox[ RowBox[{ - TagBox["NambuTransforms", "SummaryHead"], "[", + TagBox["NambuMatrices", "SummaryHead"], "[", DynamicModuleBox[{ Typeset`open$$ = False, Typeset`embedState$$ = "Ready"}, @@ -6603,8 +6597,8 @@ HACo2sx4 Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, - 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, + 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -6614,9 +6608,8 @@ HACo2sx4 Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], - Complex[-1.1079404292422813`*^-8, - 3.3198626353948343`*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, @@ -6762,27 +6755,27 @@ HACo2sx4 "Rows" -> {{Automatic}}}, BaselinePosition -> {1, 1}]}, Dynamic[Typeset`open$$], ImageSize -> Automatic]}, "SummaryPanel"], DynamicModuleValues :> {}], "]"}], {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { Complex[-9.943302374432365*^-21, \ --3.3214464132085747`*^-7], +-3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], @@ -6816,8 +6809,8 @@ HACo2sx4 Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, - 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, + 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -6827,33 +6820,32 @@ HACo2sx4 Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], - Complex[-1.1079404292422813`*^-8, - 3.3198626353948343`*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { Complex[-9.943302374432365*^-21, \ --3.3214464132085747`*^-7], +-3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], @@ -7082,7 +7074,7 @@ MHsB6BbE9A== Complex[0.9850706849009015, 0.09916907966616015], Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -7091,23 +7083,23 @@ MHsB6BbE9A== Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { - Complex[-1.1079404292422813`*^-8, 3.3198626353948343`*^-7], + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { - Complex[-9.943302374432365*^-21, -3.3214464132085747`*^-7], + Complex[-9.943302374432365*^-21, -3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], Complex[-0.00995010820050242, 2.083853062282483*^-19]}}}}, @@ -7122,7 +7114,7 @@ MHsB6BbE9A== SelectWithContents->True, Selectable->False]], "Output", CellLabel->"Out[11]=", - CellID->526466148,ExpressionUUID->"1e72d49c-c2da-40cf-b655-dc7729c74265"] + CellID->1072212266,ExpressionUUID->"fb61cd6b-ccf1-4bce-9abb-3da0f06fcaf5"] }, Open ]], Cell[CellGroupData[{ @@ -7130,13 +7122,12 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"vec", "[", "2", "]"}], "=", - RowBox[{"WickOperate", "[", - RowBox[{ - RowBox[{"Measurement", "[", - RowBox[{"c", "@", - RowBox[{"{", - RowBox[{"2", ",", "3"}], "}"}]}], "]"}], ",", - RowBox[{"vec", "[", "1", "]"}]}], "]"}]}]], "Input", + RowBox[{ + RowBox[{"Measurement", "[", + RowBox[{"c", "@", + RowBox[{"{", + RowBox[{"2", ",", "3"}], "}"}]}], "]"}], "[", + RowBox[{"vec", "[", "1", "]"}], "]"}]}]], "Input", CellProlog:>Needs["Q3`"], CellLabel->"In[12]:=", CellID->185878624,ExpressionUUID->"df724cb4-111d-4d8b-88d5-b0f4af433b7e"], @@ -7329,7 +7320,7 @@ Cell[BoxData[ TagBox[ InterpretationBox[ RowBox[{ - TagBox["NambuTransforms", "SummaryHead"], "[", + TagBox["NambuMatrices", "SummaryHead"], "[", DynamicModuleBox[{ Typeset`open$$ = False, Typeset`embedState$$ = "Ready"}, @@ -7908,8 +7899,8 @@ HACo2sx4 Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, - 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, + 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -7919,9 +7910,8 @@ HACo2sx4 Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], - Complex[-1.1079404292422813`*^-8, - 3.3198626353948343`*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, @@ -8067,27 +8057,27 @@ HACo2sx4 "Rows" -> {{Automatic}}}, BaselinePosition -> {1, 1}]}, Dynamic[Typeset`open$$], ImageSize -> Automatic]}, "SummaryPanel"], DynamicModuleValues :> {}], "]"}], {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { Complex[-9.943302374432365*^-21, \ --3.3214464132085747`*^-7], +-3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], @@ -8121,8 +8111,8 @@ HACo2sx4 Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, - 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, + 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -8132,33 +8122,32 @@ HACo2sx4 Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], - Complex[-1.1079404292422813`*^-8, - 3.3198626353948343`*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { Complex[-9.943302374432365*^-21, \ --3.3214464132085747`*^-7], +-3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], @@ -8424,17 +8413,17 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc 12}, {{{1, 3} -> Complex[0.9751371712736823, -0.09850607189743646], {1, 4} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], \ -{1, 5} -> Complex[1.6727401305043303`*^-18, 0.09916907966616016], {1, 6} -> +{1, 5} -> Complex[1.6727401305043305`*^-18, 0.09916907966616016], {1, 6} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 7} -> Complex[ - 1.6727401305043303`*^-18, 0.09916907966616016], {1, 8} -> + 1.6727401305043305`*^-18, 0.09916907966616016], {1, 8} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 9} -> Complex[0.9751371712736823, -0.09850607189743646], { 1, 10} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], \ {1, 12} -> 1, {2, 3} -> Complex[ 0.000016594573282932862`, 0.0003313378120411798], {2, 4} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], { + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], { 2, 5} -> Complex[-0.000016605652687225828`, -0.09916907966616018], \ {2, 6} -> Complex[-0.009933502547815196, -0.09883740970947764], {2, 7} -> @@ -8442,7 +8431,7 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc {2, 8} -> Complex[-0.009933502547815196, -0.09883740970947764], {2, 9} -> Complex[ 0.000016594573282932862`, 0.0003313378120411798], {2, 10} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], { + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], { 2, 11} -> 1, {3, 4} -> Complex[0.01966912300437454, 0.], {3, 5} -> Complex[-0.00006578280908219912, -7.28006620191595*^-19], \ @@ -8453,7 +8442,7 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc 6.938893903907228*^-18, -4.336808689942018*^-19], {3, 10} -> Complex[0.01966912300437454, 0.], {3, 11} -> Complex[ - 1.1079404294454617`*^-8, -0.0003316699566825008], {3, 12} -> + 1.1079404294454619`*^-8, -0.0003316699566825008], {3, 12} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], { 4, 5} -> Complex[-0.009768833833459008, 0.09670511030136167], {4, 6} -> @@ -8468,24 +8457,24 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc 0.000016594573282932862`, -0.0003313378120411798], {4, 12} -> Complex[0.9751371712736823, 0.09850607189743646], { 5, 6} -> Complex[0.9803308769956256, 0.], {5, 7} -> - Complex[-1.5523466945211156`*^-18, + Complex[-1.552346694521116*^-18, 1.2661074609920407`*^-19], {5, 8} -> Complex[0.9803308769956256, 0.], {5, 9} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], { - 5, 10} -> Complex[ - 0.00976883383345901, -0.09670511030136163], {5, 11} -> - Complex[-0.009933502547815196, 0.09883740970947764], {5, - 12} -> Complex[-0.009916907974532265, - 0.09883807384038253], {6, 7} -> - Complex[0.019669123004374556`, 0.], {6, 8} -> - Complex[-1.5523466945211156`*^-18, \ + 5, 10} -> + Complex[0.00976883383345901, -0.09670511030136163], {5, + 11} -> Complex[-0.009933502547815196, + 0.09883740970947764], {5, 12} -> + Complex[-0.009916907974532265, 0.09883807384038253], {6, + 7} -> Complex[0.019669123004374556`, 0.], {6, 8} -> + Complex[-1.552346694521116*^-18, \ -1.2661074609920407`*^-19], {6, 9} -> Complex[-0.009768833833459008, -0.09670511030136167], {6, 10} -> Complex[-0.00006578280908219912, 7.28006620191595*^-19], {6, 11} -> Complex[-0.000016605652687225828`, 0.09916907966616018], { 6, 12} -> Complex[ - 1.6727401305043303`*^-18, -0.09916907966616016], {7, 8} -> + 1.6727401305043305`*^-18, -0.09916907966616016], {7, 8} -> Complex[0.9803308769956256, 0.], {7, 9} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], { 7, 10} -> Complex[ @@ -8498,10 +8487,10 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc 7.28006620191595*^-19], {8, 11} -> Complex[-0.000016605652687225828`, 0.09916907966616018], { 8, 12} -> Complex[ - 1.6727401305043303`*^-18, -0.09916907966616016], {9, 10} -> + 1.6727401305043305`*^-18, -0.09916907966616016], {9, 10} -> Complex[0.01966912300437454, 0.], {9, 11} -> Complex[ - 1.1079404294454617`*^-8, -0.0003316699566825008], {9, 12} -> + 1.1079404294454619`*^-8, -0.0003316699566825008], {9, 12} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], { 10, 11} -> Complex[ @@ -8546,7 +8535,7 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc Complex[0.9850706849009015, 0.09916907966616015], Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -8555,23 +8544,23 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { - Complex[-1.1079404292422813`*^-8, 3.3198626353948343`*^-7], + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { - Complex[-9.943302374432365*^-21, -3.3214464132085747`*^-7], + Complex[-9.943302374432365*^-21, -3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], Complex[-0.00995010820050242, 2.083853062282483*^-19]}}}}, @@ -8580,21 +8569,21 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc 12}, {{{1, 3} -> Complex[0.9751371712736823, -0.09850607189743646], {1, 4} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], {1, 5} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], {1, 6} -> + Complex[1.6727401305043305`*^-18, 0.09916907966616016], {1, 6} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 7} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], {1, 8} -> + Complex[1.6727401305043305`*^-18, 0.09916907966616016], {1, 8} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 9} -> Complex[0.9751371712736823, -0.09850607189743646], {1, 10} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], {1, 12} -> 1, {2, 3} -> Complex[0.000016594573282932862`, 0.0003313378120411798], {2, 4} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], {2, 5} -> + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], {2, 5} -> Complex[-0.000016605652687225828`, -0.09916907966616018], {2, 6} -> Complex[-0.009933502547815196, -0.09883740970947764], {2, 7} -> Complex[-0.000016605652687225828`, -0.09916907966616018], {2, 8} -> Complex[-0.009933502547815196, -0.09883740970947764], {2, 9} -> Complex[0.000016594573282932862`, 0.0003313378120411798], {2, 10} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], {2, 11} -> + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], {2, 11} -> 1, {3, 4} -> Complex[0.01966912300437454, 0.], {3, 5} -> Complex[-0.00006578280908219912, -7.28006620191595*^-19], {3, 6} -> Complex[0.00976883383345901, 0.09670511030136163], {3, 7} -> @@ -8602,7 +8591,7 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc Complex[0.00976883383345901, 0.09670511030136163], {3, 9} -> Complex[6.938893903907228*^-18, -4.336808689942018*^-19], {3, 10} -> Complex[0.01966912300437454, 0.], {3, 11} -> - Complex[1.1079404294454617`*^-8, -0.0003316699566825008], {3, 12} -> + Complex[1.1079404294454619`*^-8, -0.0003316699566825008], {3, 12} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], {4, 5} -> Complex[-0.009768833833459008, 0.09670511030136167], {4, 6} -> Complex[0.00006578280908219793, -4.254244153408405*^-17], {4, 7} -> @@ -8613,18 +8602,18 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc Complex[0.000016594573282932862`, -0.0003313378120411798], {4, 12} -> Complex[0.9751371712736823, 0.09850607189743646], {5, 6} -> Complex[0.9803308769956256, 0.], {5, 7} -> - Complex[-1.5523466945211156`*^-18, 1.2661074609920407`*^-19], {5, 8} -> + Complex[-1.552346694521116*^-18, 1.2661074609920407`*^-19], {5, 8} -> Complex[0.9803308769956256, 0.], {5, 9} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], {5, 10} -> Complex[0.00976883383345901, -0.09670511030136163], {5, 11} -> Complex[-0.009933502547815196, 0.09883740970947764], {5, 12} -> Complex[-0.009916907974532265, 0.09883807384038253], {6, 7} -> Complex[0.019669123004374556`, 0.], {6, 8} -> - Complex[-1.5523466945211156`*^-18, -1.2661074609920407`*^-19], {6, 9} -> + Complex[-1.552346694521116*^-18, -1.2661074609920407`*^-19], {6, 9} -> Complex[-0.009768833833459008, -0.09670511030136167], {6, 10} -> Complex[-0.00006578280908219912, 7.28006620191595*^-19], {6, 11} -> Complex[-0.000016605652687225828`, 0.09916907966616018], {6, 12} -> - Complex[1.6727401305043303`*^-18, -0.09916907966616016], {7, 8} -> + Complex[1.6727401305043305`*^-18, -0.09916907966616016], {7, 8} -> Complex[0.9803308769956256, 0.], {7, 9} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], {7, 10} -> Complex[0.00976883383345901, -0.09670511030136163], {7, 11} -> @@ -8633,9 +8622,9 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc Complex[-0.009768833833459008, -0.09670511030136167], {8, 10} -> Complex[-0.00006578280908219912, 7.28006620191595*^-19], {8, 11} -> Complex[-0.000016605652687225828`, 0.09916907966616018], {8, 12} -> - Complex[1.6727401305043303`*^-18, -0.09916907966616016], {9, 10} -> + Complex[1.6727401305043305`*^-18, -0.09916907966616016], {9, 10} -> Complex[0.01966912300437454, 0.], {9, 11} -> - Complex[1.1079404294454617`*^-8, -0.0003316699566825008], {9, 12} -> + Complex[1.1079404294454619`*^-8, -0.0003316699566825008], {9, 12} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], {10, 11} -> Complex[0.000016594573282932862`, -0.0003313378120411798], {10, 12} -> Complex[0.9751371712736823, 0.09850607189743646]}, @@ -8648,7 +8637,7 @@ O/3+wu0dKn/Uf1F9R3GOq8f105ThSG3iKGDYs6ImuUAFPUGxG+HLaN6w1xEc SelectWithContents->True, Selectable->False]], "Output", CellLabel->"Out[12]=", - CellID->560463635,ExpressionUUID->"6adb9bed-1562-402b-b198-fa529bb7e6b9"] + CellID->815330324,ExpressionUUID->"28944c0a-26d5-46d9-92f9-c6084cb39031"] }, Open ]], Cell[CellGroupData[{ @@ -8656,9 +8645,9 @@ Cell[CellGroupData[{ Cell[BoxData[ InterpretationBox[Cell[ "\t", "ExampleDelimiter",ExpressionUUID-> - "371ac103-8777-42a2-9c7d-29a73230963b"], + "dc41533e-50ee-4f9c-a7ec-78f6248a2d6f"], $Line = 0; Null]], "ExampleDelimiter", - CellID->910193498,ExpressionUUID->"52050f28-bcf6-4400-8d6f-9c7401132475"], + CellID->440779907,ExpressionUUID->"e163491c-ee73-404e-9eb4-c1d904e9127c"], Cell[TextData[{ "Here are some functions that support ", @@ -8684,10 +8673,11 @@ Cell[BoxData[{ RowBox[{"{", RowBox[{"2", ",", "3"}], "}"}]}], "]"}], "[", "ws", "]"}]}], "\[IndentingNewLine]", - RowBox[{"Readout", "[", - RowBox[{"c", "@", - RowBox[{"{", - RowBox[{"2", ",", "3"}], "}"}]}], "]"}]}], "Input", + RowBox[{"rec", "=", + RowBox[{"Readout", "[", + RowBox[{"c", "@", + RowBox[{"{", + RowBox[{"2", ",", "3"}], "}"}]}], "]"}]}]}], "Input", CellProlog:>Needs["Q3`"], CellLabel->"In[1]:=", CellID->2051354619,ExpressionUUID->"c3167e9e-ade6-43f9-a4c6-32def9cc871d"], @@ -8952,7 +8942,7 @@ Cell[BoxData[ TagBox[ InterpretationBox[ RowBox[{ - TagBox["NambuTransforms", "SummaryHead"], "[", + TagBox["NambuMatrices", "SummaryHead"], "[", DynamicModuleBox[{ Typeset`open$$ = False, Typeset`embedState$$ = "Ready"}, @@ -9530,8 +9520,8 @@ HACo2sx4 Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, - 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, + 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -9541,9 +9531,8 @@ HACo2sx4 Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], - Complex[-1.1079404292422813`*^-8, - 3.3198626353948343`*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, @@ -9689,27 +9678,27 @@ HACo2sx4 "Rows" -> {{Automatic}}}, BaselinePosition -> {1, 1}]}, Dynamic[Typeset`open$$], ImageSize -> Automatic]}, "SummaryPanel"], DynamicModuleValues :> {}], "]"}], {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { Complex[-9.943302374432365*^-21, \ --3.3214464132085747`*^-7], +-3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], @@ -10372,11 +10361,9 @@ HACo2sx4 Complex[7.894016335854154*^-6, 0.008602132075960674], Complex[3.469446951953614*^-18, -0.2780792901080426], - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], + Complex[-7.89401633587497*^-6, -1.5178830414797064`*^-18], Complex[0.0013060825544481298`, 0.2780792901080425]}, { - - Complex[-3.2526065174565133`*^-19, \ --0.00007843130586222762], + Complex[-3.252606517456514*^-19, -0.00007843130586222762], Complex[-7.894016335826398*^-6, 0.00860213207596067], Complex[0.0013060825544481298`, -0.2780792901080425], Complex[-0.08602810901114219, 1.734723475976807*^-18]}}, @@ -10409,8 +10396,8 @@ HACo2sx4 Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, - 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, + 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -10420,33 +10407,32 @@ HACo2sx4 Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], - Complex[-1.1079404292422813`*^-8, - 3.3198626353948343`*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, \ -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { Complex[-9.943302374432365*^-21, \ --3.3214464132085747`*^-7], +-3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], @@ -10523,11 +10509,9 @@ HACo2sx4 Complex[7.894016335854154*^-6, 0.008602132075960674], Complex[3.469446951953614*^-18, -0.2780792901080426], - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], + Complex[-7.89401633587497*^-6, -1.5178830414797064`*^-18], Complex[0.0013060825544481298`, 0.2780792901080425]}, { - - Complex[-3.2526065174565133`*^-19, \ --0.00007843130586222762], + Complex[-3.252606517456514*^-19, -0.00007843130586222762], Complex[-7.894016335826398*^-6, 0.00860213207596067], Complex[0.0013060825544481298`, -0.2780792901080425], Complex[-0.08602810901114219, 1.734723475976807*^-18]}}}}, @@ -10901,14 +10885,14 @@ RZ1D5dXfAH40arI= Complex[0.9751371712736823, -0.09850607189743646], {1, 4} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], \ {1, 5} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 6} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], { + Complex[1.6727401305043305`*^-18, 0.09916907966616016], { 1, 7} -> Complex[ 0.0002620773276979446, 0.002603237866672337], {1, 8} -> Complex[7.0302419351298*^-7, -0.002613753063531294], {1, 9} -> Complex[0.7859004070182107, -0.2609534572619835], { 1, 10} -> Complex[-7.89401633587497*^-6, \ --1.5178830414797062`*^-18], {1, 11} -> +-1.5178830414797064`*^-18], {1, 11} -> Complex[6.938893903907228*^-18, 0.27807929010804266`], {1, 12} -> Complex[-0.08342383791858181, -0.26963368038096003`], {1, @@ -10918,19 +10902,19 @@ RZ1D5dXfAH40arI= 15} -> Complex[0.7859004070182107, -0.2609534572619835], { 1, 16} -> Complex[-7.89401633587497*^-6, \ --1.5178830414797062`*^-18], {1, 17} -> +-1.5178830414797064`*^-18], {1, 17} -> Complex[0.0002620773276979446, 0.002603237866672337], {1, 18} -> Complex[ 7.0302419351298*^-7, -0.002613753063531294], {1, 19} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 20} -> Complex[ - 1.6727401305043303`*^-18, 0.09916907966616016], {1, 21} -> + 1.6727401305043305`*^-18, 0.09916907966616016], {1, 21} -> Complex[0.9751371712736823, -0.09850607189743646], {1, 22} -> Complex[-1.107940429399415*^-8, \ -2.241454781417565*^-19], {1, 24} -> 1, {2, 3} -> Complex[ 0.000016594573282932862`, 0.0003313378120411798], {2, 4} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], { + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], { 2, 5} -> Complex[-0.009933502547815196, -0.09883740970947764], {2, 6} -> Complex[-0.000016605652687225828`, \ @@ -10957,7 +10941,7 @@ RZ1D5dXfAH40arI= -0.09916907966616018], {2, 21} -> Complex[ 0.000016594573282932862`, 0.0003313378120411798], {2, 22} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], { + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], { 2, 23} -> 1, {3, 4} -> Complex[0.01966912300437454, 0.], {3, 5} -> Complex[0.00976883383345901, 0.09670511030136163], {3, 6} -> @@ -10969,10 +10953,10 @@ RZ1D5dXfAH40arI= 10} -> Complex[ 0.05515660930576866, -0.00012490783968316095`], {3, 11} -> Complex[-0.0009452962128001206, - 1.8498670906598047`*^-6], {3, 12} -> + 1.8498670906598045`*^-6], {3, 12} -> Complex[0.026634445818647358`, 0.0778365212048925], {3, 13} -> Complex[-0.0009452962128001206, - 1.8498670906598047`*^-6], {3, 14} -> + 1.8498670906598045`*^-6], {3, 14} -> Complex[0.026634445818647358`, 0.0778365212048925], {3, 15} -> Complex[ 0.000016933675279148797`, 0.00012383773397451302`], {3, @@ -10988,7 +10972,7 @@ RZ1D5dXfAH40arI= 6.938893903907228*^-18, -4.336808689942018*^-19], {3, 22} -> Complex[0.01966912300437454, 0.], {3, 23} -> Complex[ - 1.1079404294454617`*^-8, -0.0003316699566825008], {3, 24} -> + 1.1079404294454619`*^-8, -0.0003316699566825008], {3, 24} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], { 4, 5} -> Complex[ 0.00006578280908219793, -4.254244153408405*^-17], {4, 6} -> @@ -11034,7 +11018,7 @@ RZ1D5dXfAH40arI= 0.01942284716938378, 0.09330760721542969], {5, 18} -> Complex[-0.0002598580324258793, 0.003888044555498485], {5, 19} -> - Complex[-1.5523466945211156`*^-18, \ + Complex[-1.552346694521116*^-18, \ -1.2661074609920407`*^-19], {5, 20} -> Complex[0.019669123004374556`, 0.], {5, 21} -> Complex[-0.009768833833459008, -0.09670511030136167], {5, @@ -11042,7 +11026,7 @@ RZ1D5dXfAH40arI= 7.28006620191595*^-19], {5, 23} -> Complex[-0.000016605652687225828`, 0.09916907966616018], { 5, 24} -> Complex[ - 1.6727401305043303`*^-18, -0.09916907966616016], {6, 7} -> + 1.6727401305043305`*^-18, -0.09916907966616016], {6, 7} -> Complex[-0.009673644515389308, -0.09494936515397917], {6, 8} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 9} -> @@ -11064,7 +11048,7 @@ RZ1D5dXfAH40arI= 18} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 19} -> Complex[0.9803308769956256, 0.], {6, 20} -> - Complex[-1.5523466945211156`*^-18, + Complex[-1.552346694521116*^-18, 1.2661074609920407`*^-19], {6, 21} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], { 6, 22} -> Complex[ @@ -11086,7 +11070,7 @@ RZ1D5dXfAH40arI= 0.01859492038010707], {7, 16} -> Complex[-0.05378013717194569, 0.0004103023339935032], {7, 17} -> Complex[-4.787980228365168*^-18, \ --2.6488597589047426`*^-18], {7, 18} -> +-2.648859758904743*^-18], {7, 18} -> Complex[0.03895158675127773, 0.], {7, 19} -> Complex[-0.019439452822070994`, -0.1924766868815898], {7, 20} -> Complex[-0.0002598580324258793, \ @@ -11110,7 +11094,7 @@ RZ1D5dXfAH40arI= Complex[0.05139730785671253, 0.018926590336789572`], {8, 17} -> Complex[0.9610484132487226, 0.], {8, 18} -> Complex[-4.787980228365168*^-18, - 2.6488597589047426`*^-18], {8, 19} -> + 2.648859758904743*^-18], {8, 19} -> Complex[-0.009673644515389308, 0.09494936515397917], {8, 20} -> Complex[ 0.01942284716938378, -0.09330760721542969], {8, 21} -> @@ -11121,15 +11105,14 @@ RZ1D5dXfAH40arI= 24} -> Complex[ 0.0002620773276979446, -0.002603237866672337], {9, 10} -> Complex[0.1547318858265081, 0.], {9, 11} -> - Complex[-0.004784170182671576, \ --2.0791270723304056`*^-17], {9, 12} -> - Complex[0.07261962399452813, 0.21892155188592954`], {9, - 13} -> Complex[-0.004784170182671576, \ --2.0791270723304056`*^-17], {9, 14} -> - Complex[0.07261962399452813, 0.21892155188592954`], {9, - 15} -> Complex[ - 4.163336342344337*^-17, 6.938893903907228*^-18], {9, 16} -> - Complex[0.1547318858265081, 0.], {9, 17} -> + Complex[-0.004784170182671576, -2.079127072330406*^-17], { + 9, 12} -> Complex[ + 0.07261962399452813, 0.21892155188592954`], {9, 13} -> + Complex[-0.004784170182671576, -2.079127072330406*^-17], { + 9, 14} -> Complex[ + 0.07261962399452813, 0.21892155188592954`], {9, 15} -> + Complex[4.163336342344337*^-17, 6.938893903907228*^-18], { + 9, 16} -> Complex[0.1547318858265081, 0.], {9, 17} -> Complex[0.05139730785671253, -0.018926590336789572`], {9, 18} -> Complex[-0.05378013717194569, \ -0.0004103023339935032], {9, 19} -> @@ -11142,14 +11125,14 @@ RZ1D5dXfAH40arI= 23} -> Complex[ 7.894016335854154*^-6, -0.008602132075960674], {9, 24} -> Complex[-7.89401633587497*^-6, - 1.5178830414797062`*^-18], {10, 11} -> + 1.5178830414797064`*^-18], {10, 11} -> Complex[-0.07261962399452816, 0.21892155188592985`], {10, 12} -> Complex[ - 0.004784170182671579, -2.7273105648872864`*^-16], {10, + 0.004784170182671579, -2.7273105648872874`*^-16], {10, 13} -> Complex[-0.07261962399452816, 0.21892155188592985`], {10, 14} -> Complex[ - 0.004784170182671579, -2.7273105648872864`*^-16], {10, + 0.004784170182671579, -2.7273105648872874`*^-16], {10, 15} -> Complex[0.8452681141734937, 0.], {10, 16} -> Complex[ 4.163336342344337*^-17, -6.938893903907228*^-18], {10, @@ -11168,9 +11151,9 @@ RZ1D5dXfAH40arI= Complex[0.7859004070182107, 0.2609534572619835], {11, 12} -> Complex[0.8452681141734925, 0.], {11, 13} -> Complex[-2.901596064114331*^-17, \ --1.0211829212097845`*^-17], {11, 14} -> +-1.0211829212097848`*^-17], {11, 14} -> Complex[0.8452681141734925, 0.], {11, 15} -> - Complex[0.004784170182671579, 2.7273105648872864`*^-16], { + Complex[0.004784170182671579, 2.7273105648872874`*^-16], { 11, 16} -> Complex[0.07261962399452813, -0.21892155188592954`], {11, 17} -> Complex[-0.00915537197655327, @@ -11188,10 +11171,10 @@ RZ1D5dXfAH40arI= 0.26963368038096003`], {12, 13} -> Complex[0.15473188582650818`, 0.], {12, 14} -> Complex[-2.901596064114331*^-17, - 1.0211829212097845`*^-17], {12, 15} -> + 1.0211829212097848`*^-17], {12, 15} -> Complex[-0.07261962399452816, -0.21892155188592985`], {12, 16} -> Complex[-0.004784170182671576, - 2.0791270723304056`*^-17], {12, 17} -> + 2.079127072330406*^-17], {12, 17} -> Complex[0.05327787465726625, 0.2618852763713944], {12, 18} -> Complex[-0.0007781305712618784, 0.01090395795893278], {12, 19} -> @@ -11201,12 +11184,12 @@ RZ1D5dXfAH40arI= 0.05515660930576871, 0.00012490783968316282`], {12, 21} -> Complex[-0.026634445818647365`, -0.271246719799264], {12, 22} -> Complex[-0.0009452962128001206, \ --1.8498670906598047`*^-6], {12, 23} -> +-1.8498670906598045`*^-6], {12, 23} -> Complex[-0.0013060825544481437`, 0.27807929010804266`], { 12, 24} -> Complex[6.938893903907228*^-18, -0.27807929010804266`], { 13, 14} -> Complex[0.8452681141734925, 0.], {13, 15} -> - Complex[0.004784170182671579, 2.7273105648872864`*^-16], { + Complex[0.004784170182671579, 2.7273105648872874`*^-16], { 13, 16} -> Complex[0.07261962399452813, -0.21892155188592954`], {13, 17} -> Complex[-0.00915537197655327, @@ -11224,7 +11207,7 @@ RZ1D5dXfAH40arI= 0.26963368038096003`], {14, 15} -> Complex[-0.07261962399452816, -0.21892155188592985`], {14, 16} -> Complex[-0.004784170182671576, - 2.0791270723304056`*^-17], {14, 17} -> + 2.079127072330406*^-17], {14, 17} -> Complex[0.05327787465726625, 0.2618852763713944], {14, 18} -> Complex[-0.0007781305712618784, 0.01090395795893278], {14, 19} -> @@ -11234,7 +11217,7 @@ RZ1D5dXfAH40arI= 0.05515660930576871, 0.00012490783968316282`], {14, 21} -> Complex[-0.026634445818647365`, -0.271246719799264], {14, 22} -> Complex[-0.0009452962128001206, \ --1.8498670906598047`*^-6], {14, 23} -> +-1.8498670906598045`*^-6], {14, 23} -> Complex[-0.0013060825544481437`, 0.27807929010804266`], { 14, 24} -> Complex[6.938893903907228*^-18, -0.27807929010804266`], { @@ -11253,7 +11236,7 @@ RZ1D5dXfAH40arI= Complex[7.894016335854154*^-6, -0.008602132075960674], { 15, 24} -> Complex[-7.89401633587497*^-6, - 1.5178830414797062`*^-18], {16, 17} -> + 1.5178830414797064`*^-18], {16, 17} -> Complex[0.05379673174522864, -0.0007416401460346826], {16, 18} -> Complex[-0.051397296777308234`, -0.01859492038010707], { @@ -11292,7 +11275,7 @@ RZ1D5dXfAH40arI= 7.28006620191595*^-19], {19, 23} -> Complex[-0.000016605652687225828`, 0.09916907966616018], { 19, 24} -> - Complex[1.6727401305043303`*^-18, -0.09916907966616016], { + Complex[1.6727401305043305`*^-18, -0.09916907966616016], { 20, 21} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], { 20, 22} -> @@ -11302,7 +11285,7 @@ RZ1D5dXfAH40arI= Complex[-0.009916907974532265, 0.09883807384038253], {21, 22} -> Complex[0.01966912300437454, 0.], {21, 23} -> Complex[ - 1.1079404294454617`*^-8, -0.0003316699566825008], {21, + 1.1079404294454619`*^-8, -0.0003316699566825008], {21, 24} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], {22, 23} -> Complex[ @@ -11359,7 +11342,7 @@ RZ1D5dXfAH40arI= Complex[0.9850706849009015, 0.09916907966616015], Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.00001659457328293116, -0.0003313378120411801], - Complex[-1.1079404292417903`*^-8, 3.3198626353946485`*^-7]}, { + Complex[-1.1079404292417905`*^-8, 3.319862635394647*^-7]}, { Complex[-0.009933502547815196, 0.09883740970947764], Complex[0.975137171273682, 0.09850607189743646], Complex[-0.009916907974532265, 0.09883807384038253], @@ -11368,23 +11351,23 @@ RZ1D5dXfAH40arI= Complex[-0.009916907974532263, 0.09883807384038251], Complex[0.9751371712736823, 0.09850607189743646], Complex[-0.009933502547815193, 0.09883740970947762]}, { - Complex[-1.1079404292422813`*^-8, 3.3198626353948343`*^-7], + Complex[-1.1079404292422815`*^-8, 3.319862635394833*^-7], Complex[0.000016594573282933133`, -0.0003313378120411798], Complex[-0.009933502547815193, 0.09883740970947763], Complex[0.9850706849009013, 0.09916907966616012]}}, {{ - Complex[0.009950108200502423, 2.5290913197495183`*^-22], + Complex[0.009950108200502423, 2.5290913197495187`*^-22], Complex[-0.000016605652687225092`, 0.09916907966616013], - Complex[1.1079404289255492`*^-8, -0.0003316699566825005], - Complex[8.92745146730816*^-21, 3.3214464132095884`*^-7]}, { + Complex[1.1079404289255494`*^-8, -0.0003316699566825005], + Complex[8.92745146730816*^-21, 3.3214464132095874`*^-7]}, { Complex[-0.000016605652687225828`, -0.09916907966616018], Complex[1.1079404291230823`*^-8, 4.433254424948396*^-21], - Complex[1.6727401305043303`*^-18, 0.09916907966616016], + Complex[1.6727401305043305`*^-18, 0.09916907966616016], Complex[-1.1079404289878503`*^-8, -0.00033166995668250094`]}, { - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], Complex[1.1579790325831189`*^-18, -0.09916907966616013], Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], Complex[0.000016605652687226302`, 0.0991690796661601]}, { - Complex[-9.943302374432365*^-21, -3.3214464132085747`*^-7], + Complex[-9.943302374432365*^-21, -3.3214464132085736`*^-7], Complex[-1.1079404291781963`*^-8, 0.0003316699566825007], Complex[0.000016605652687224523`, -0.0991690796661601], Complex[-0.00995010820050242, 2.083853062282483*^-19]}}}, {{{ @@ -11446,9 +11429,9 @@ RZ1D5dXfAH40arI= Complex[-7.894016335826398*^-6, -0.008602132075960672]}, { Complex[7.894016335854154*^-6, 0.008602132075960674], Complex[3.469446951953614*^-18, -0.2780792901080426], - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], + Complex[-7.89401633587497*^-6, -1.5178830414797064`*^-18], Complex[0.0013060825544481298`, 0.2780792901080425]}, { - Complex[-3.2526065174565133`*^-19, -0.00007843130586222762], + Complex[-3.252606517456514*^-19, -0.00007843130586222762], Complex[-7.894016335826398*^-6, 0.00860213207596067], Complex[0.0013060825544481298`, -0.2780792901080425], Complex[-0.08602810901114219, 1.734723475976807*^-18]}}}}, @@ -11458,26 +11441,26 @@ RZ1D5dXfAH40arI= Complex[0.9751371712736823, -0.09850607189743646], {1, 4} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], {1, 5} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 6} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], {1, 7} -> + Complex[1.6727401305043305`*^-18, 0.09916907966616016], {1, 7} -> Complex[0.0002620773276979446, 0.002603237866672337], {1, 8} -> Complex[7.0302419351298*^-7, -0.002613753063531294], {1, 9} -> Complex[0.7859004070182107, -0.2609534572619835], {1, 10} -> - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], {1, 11} -> + Complex[-7.89401633587497*^-6, -1.5178830414797064`*^-18], {1, 11} -> Complex[6.938893903907228*^-18, 0.27807929010804266`], {1, 12} -> Complex[-0.08342383791858181, -0.26963368038096003`], {1, 13} -> Complex[6.938893903907228*^-18, 0.27807929010804266`], {1, 14} -> Complex[-0.08342383791858181, -0.26963368038096003`], {1, 15} -> Complex[0.7859004070182107, -0.2609534572619835], {1, 16} -> - Complex[-7.89401633587497*^-6, -1.5178830414797062`*^-18], {1, 17} -> + Complex[-7.89401633587497*^-6, -1.5178830414797064`*^-18], {1, 17} -> Complex[0.0002620773276979446, 0.002603237866672337], {1, 18} -> Complex[7.0302419351298*^-7, -0.002613753063531294], {1, 19} -> Complex[-0.009916907974532265, -0.09883807384038253], {1, 20} -> - Complex[1.6727401305043303`*^-18, 0.09916907966616016], {1, 21} -> + Complex[1.6727401305043305`*^-18, 0.09916907966616016], {1, 21} -> Complex[0.9751371712736823, -0.09850607189743646], {1, 22} -> Complex[-1.107940429399415*^-8, -2.241454781417565*^-19], {1, 24} -> 1, {2, 3} -> Complex[0.000016594573282932862`, 0.0003313378120411798], {2, 4} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], {2, 5} -> + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], {2, 5} -> Complex[-0.009933502547815196, -0.09883740970947764], {2, 6} -> Complex[-0.000016605652687225828`, -0.09916907966616018], {2, 7} -> Complex[0.9411238678566561, -0.19341019859437134`], {2, 8} -> @@ -11495,7 +11478,7 @@ RZ1D5dXfAH40arI= Complex[-0.009933502547815196, -0.09883740970947764], {2, 20} -> Complex[-0.000016605652687225828`, -0.09916907966616018], {2, 21} -> Complex[0.000016594573282932862`, 0.0003313378120411798], {2, 22} -> - Complex[1.1079404294454617`*^-8, 0.0003316699566825008], {2, 23} -> + Complex[1.1079404294454619`*^-8, 0.0003316699566825008], {2, 23} -> 1, {3, 4} -> Complex[0.01966912300437454, 0.], {3, 5} -> Complex[0.00976883383345901, 0.09670511030136163], {3, 6} -> Complex[-0.00006578280908219912, -7.28006620191595*^-19], {3, 7} -> @@ -11503,9 +11486,9 @@ RZ1D5dXfAH40arI= Complex[-0.019179268175876747`, -0.0000390632327097088], {3, 9} -> Complex[0.000016933675279148797`, 0.00012383773397451302`], {3, 10} -> Complex[0.05515660930576866, -0.00012490783968316095`], {3, 11} -> - Complex[-0.0009452962128001206, 1.8498670906598047`*^-6], {3, 12} -> + Complex[-0.0009452962128001206, 1.8498670906598045`*^-6], {3, 12} -> Complex[0.026634445818647358`, 0.0778365212048925], {3, 13} -> - Complex[-0.0009452962128001206, 1.8498670906598047`*^-6], {3, 14} -> + Complex[-0.0009452962128001206, 1.8498670906598045`*^-6], {3, 14} -> Complex[0.026634445818647358`, 0.0778365212048925], {3, 15} -> Complex[0.000016933675279148797`, 0.00012383773397451302`], {3, 16} -> Complex[0.05515660930576866, -0.00012490783968316095`], {3, 17} -> @@ -11515,7 +11498,7 @@ RZ1D5dXfAH40arI= Complex[-0.00006578280908219912, -7.28006620191595*^-19], {3, 21} -> Complex[6.938893903907228*^-18, -4.336808689942018*^-19], {3, 22} -> Complex[0.01966912300437454, 0.], {3, 23} -> - Complex[1.1079404294454617`*^-8, -0.0003316699566825008], {3, 24} -> + Complex[1.1079404294454619`*^-8, -0.0003316699566825008], {3, 24} -> Complex[-1.107940429399415*^-8, 2.241454781417565*^-19], {4, 5} -> Complex[0.00006578280908219793, -4.254244153408405*^-17], {4, 6} -> Complex[-0.009768833833459008, 0.09670511030136167], {4, 7} -> @@ -11550,12 +11533,12 @@ RZ1D5dXfAH40arI= Complex[-0.0009452962128001213, 1.849867090669304*^-6], {5, 17} -> Complex[0.01942284716938378, 0.09330760721542969], {5, 18} -> Complex[-0.0002598580324258793, 0.003888044555498485], {5, 19} -> - Complex[-1.5523466945211156`*^-18, -1.2661074609920407`*^-19], {5, 20} -> + Complex[-1.552346694521116*^-18, -1.2661074609920407`*^-19], {5, 20} -> Complex[0.019669123004374556`, 0.], {5, 21} -> Complex[-0.009768833833459008, -0.09670511030136167], {5, 22} -> Complex[-0.00006578280908219912, 7.28006620191595*^-19], {5, 23} -> Complex[-0.000016605652687225828`, 0.09916907966616018], {5, 24} -> - Complex[1.6727401305043303`*^-18, -0.09916907966616016], {6, 7} -> + Complex[1.6727401305043305`*^-18, -0.09916907966616016], {6, 7} -> Complex[-0.009673644515389308, -0.09494936515397917], {6, 8} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 9} -> Complex[-0.03773674551714698, -0.19081560591987778`], {6, 10} -> @@ -11569,7 +11552,7 @@ RZ1D5dXfAH40arI= Complex[-0.009673644515389308, -0.09494936515397917], {6, 18} -> Complex[-0.019439452822070994`, 0.1924766868815898], {6, 19} -> Complex[0.9803308769956256, 0.], {6, 20} -> - Complex[-1.5523466945211156`*^-18, 1.2661074609920407`*^-19], {6, 21} -> + Complex[-1.552346694521116*^-18, 1.2661074609920407`*^-19], {6, 21} -> Complex[0.00006578280908219793, 4.254244153408405*^-17], {6, 22} -> Complex[0.00976883383345901, -0.09670511030136163], {6, 23} -> Complex[-0.009933502547815196, 0.09883740970947764], {6, 24} -> @@ -11583,7 +11566,7 @@ RZ1D5dXfAH40arI= Complex[-0.05329448030995345, -0.16271619670523418`], {7, 15} -> Complex[-0.051397296777308234`, 0.01859492038010707], {7, 16} -> Complex[-0.05378013717194569, 0.0004103023339935032], {7, 17} -> - Complex[-4.787980228365168*^-18, -2.6488597589047426`*^-18], {7, 18} -> + Complex[-4.787980228365168*^-18, -2.648859758904743*^-18], {7, 18} -> Complex[0.03895158675127773, 0.], {7, 19} -> Complex[-0.019439452822070994`, -0.1924766868815898], {7, 20} -> Complex[-0.0002598580324258793, -0.003888044555498485], {7, 21} -> @@ -11600,7 +11583,7 @@ RZ1D5dXfAH40arI= Complex[0.05379673174522864, 0.0007416401460346826], {8, 16} -> Complex[0.05139730785671253, 0.018926590336789572`], {8, 17} -> Complex[0.9610484132487226, 0.], {8, 18} -> - Complex[-4.787980228365168*^-18, 2.6488597589047426`*^-18], {8, 19} -> + Complex[-4.787980228365168*^-18, 2.648859758904743*^-18], {8, 19} -> Complex[-0.009673644515389308, 0.09494936515397917], {8, 20} -> Complex[0.01942284716938378, -0.09330760721542969], {8, 21} -> Complex[0.019195862749159683`, -0.0002922745793314728], {8, 22} -> @@ -11608,9 +11591,9 @@ RZ1D5dXfAH40arI= Complex[0.9411238678566561, 0.19341019859437134`], {8, 24} -> Complex[0.0002620773276979446, -0.002603237866672337], {9, 10} -> Complex[0.1547318858265081, 0.], {9, 11} -> - Complex[-0.004784170182671576, -2.0791270723304056`*^-17], {9, 12} -> + Complex[-0.004784170182671576, -2.079127072330406*^-17], {9, 12} -> Complex[0.07261962399452813, 0.21892155188592954`], {9, 13} -> - Complex[-0.004784170182671576, -2.0791270723304056`*^-17], {9, 14} -> + Complex[-0.004784170182671576, -2.079127072330406*^-17], {9, 14} -> Complex[0.07261962399452813, 0.21892155188592954`], {9, 15} -> Complex[4.163336342344337*^-17, 6.938893903907228*^-18], {9, 16} -> Complex[0.1547318858265081, 0.], {9, 17} -> @@ -11621,11 +11604,11 @@ RZ1D5dXfAH40arI= Complex[-0.000017636699472665246`, -0.00012383773397450998`], {9, 22} -> Complex[0.05515660930576866, 0.00012490783968316095`], {9, 23} -> Complex[7.894016335854154*^-6, -0.008602132075960674], {9, 24} -> - Complex[-7.89401633587497*^-6, 1.5178830414797062`*^-18], {10, 11} -> + Complex[-7.89401633587497*^-6, 1.5178830414797064`*^-18], {10, 11} -> Complex[-0.07261962399452816, 0.21892155188592985`], {10, 12} -> - Complex[0.004784170182671579, -2.7273105648872864`*^-16], {10, 13} -> + Complex[0.004784170182671579, -2.7273105648872874`*^-16], {10, 13} -> Complex[-0.07261962399452816, 0.21892155188592985`], {10, 14} -> - Complex[0.004784170182671579, -2.7273105648872864`*^-16], {10, 15} -> + Complex[0.004784170182671579, -2.7273105648872874`*^-16], {10, 15} -> Complex[0.8452681141734937, 0.], {10, 16} -> Complex[4.163336342344337*^-17, -6.938893903907228*^-18], {10, 17} -> Complex[0.05379673174522864, -0.0007416401460346826], {10, 18} -> @@ -11637,9 +11620,9 @@ RZ1D5dXfAH40arI= Complex[0.0012981885381123139`, -0.008523700770098444], {10, 24} -> Complex[0.7859004070182107, 0.2609534572619835], {11, 12} -> Complex[0.8452681141734925, 0.], {11, 13} -> - Complex[-2.901596064114331*^-17, -1.0211829212097845`*^-17], {11, 14} -> + Complex[-2.901596064114331*^-17, -1.0211829212097848`*^-17], {11, 14} -> Complex[0.8452681141734925, 0.], {11, 15} -> - Complex[0.004784170182671579, 2.7273105648872864`*^-16], {11, 16} -> + Complex[0.004784170182671579, 2.7273105648872874`*^-16], {11, 16} -> Complex[0.07261962399452813, -0.21892155188592954`], {11, 17} -> Complex[-0.00915537197655327, 0.10974136766841047`], {11, 18} -> Complex[-0.05329448030995345, 0.16271619670523418`], {11, 19} -> @@ -11650,19 +11633,19 @@ RZ1D5dXfAH40arI= Complex[-0.08472202645669408, 0.26947715803208194`], {11, 24} -> Complex[-0.08342383791858181, 0.26963368038096003`], {12, 13} -> Complex[0.15473188582650818`, 0.], {12, 14} -> - Complex[-2.901596064114331*^-17, 1.0211829212097845`*^-17], {12, 15} -> + Complex[-2.901596064114331*^-17, 1.0211829212097848`*^-17], {12, 15} -> Complex[-0.07261962399452816, -0.21892155188592985`], {12, 16} -> - Complex[-0.004784170182671576, 2.0791270723304056`*^-17], {12, 17} -> + Complex[-0.004784170182671576, 2.079127072330406*^-17], {12, 17} -> Complex[0.05327787465726625, 0.2618852763713944], {12, 18} -> Complex[-0.0007781305712618784, 0.01090395795893278], {12, 19} -> Complex[0.000017636699472639164`, 0.0001238377339745129], {12, 20} -> Complex[0.05515660930576871, 0.00012490783968316282`], {12, 21} -> Complex[-0.026634445818647365`, -0.271246719799264], {12, 22} -> - Complex[-0.0009452962128001206, -1.8498670906598047`*^-6], {12, 23} -> + Complex[-0.0009452962128001206, -1.8498670906598045`*^-6], {12, 23} -> Complex[-0.0013060825544481437`, 0.27807929010804266`], {12, 24} -> Complex[6.938893903907228*^-18, -0.27807929010804266`], {13, 14} -> Complex[0.8452681141734925, 0.], {13, 15} -> - Complex[0.004784170182671579, 2.7273105648872864`*^-16], {13, 16} -> + Complex[0.004784170182671579, 2.7273105648872874`*^-16], {13, 16} -> Complex[0.07261962399452813, -0.21892155188592954`], {13, 17} -> Complex[-0.00915537197655327, 0.10974136766841047`], {13, 18} -> Complex[-0.05329448030995345, 0.16271619670523418`], {13, 19} -> @@ -11673,13 +11656,13 @@ RZ1D5dXfAH40arI= Complex[-0.08472202645669408, 0.26947715803208194`], {13, 24} -> Complex[-0.08342383791858181, 0.26963368038096003`], {14, 15} -> Complex[-0.07261962399452816, -0.21892155188592985`], {14, 16} -> - Complex[-0.004784170182671576, 2.0791270723304056`*^-17], {14, 17} -> + Complex[-0.004784170182671576, 2.079127072330406*^-17], {14, 17} -> Complex[0.05327787465726625, 0.2618852763713944], {14, 18} -> Complex[-0.0007781305712618784, 0.01090395795893278], {14, 19} -> Complex[0.000017636699472639164`, 0.0001238377339745129], {14, 20} -> Complex[0.05515660930576871, 0.00012490783968316282`], {14, 21} -> Complex[-0.026634445818647365`, -0.271246719799264], {14, 22} -> - Complex[-0.0009452962128001206, -1.8498670906598047`*^-6], {14, 23} -> + Complex[-0.0009452962128001206, -1.8498670906598045`*^-6], {14, 23} -> Complex[-0.0013060825544481437`, 0.27807929010804266`], {14, 24} -> Complex[6.938893903907228*^-18, -0.27807929010804266`], {15, 16} -> Complex[0.1547318858265081, 0.], {15, 17} -> @@ -11690,7 +11673,7 @@ RZ1D5dXfAH40arI= Complex[-0.000017636699472665246`, -0.00012383773397450998`], {15, 22} -> Complex[0.05515660930576866, 0.00012490783968316095`], {15, 23} -> Complex[7.894016335854154*^-6, -0.008602132075960674], {15, 24} -> - Complex[-7.89401633587497*^-6, 1.5178830414797062`*^-18], {16, 17} -> + Complex[-7.89401633587497*^-6, 1.5178830414797064`*^-18], {16, 17} -> Complex[0.05379673174522864, -0.0007416401460346826], {16, 18} -> Complex[-0.051397296777308234`, -0.01859492038010707], {16, 19} -> Complex[-0.03773674551714698, 0.19081560591987778`], {16, 20} -> @@ -11716,13 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"FooterCell",ExpressionUUID->"dd71d8b9-0532-4b1a-b4a9-bb0e7450e00f"] +Cell[137079, 3785, 714, 18, 70, "TutorialMoreAboutSection",ExpressionUUID->"ca145067-d29a-480c-8ba3-57ee19223df4"], +Cell[137796, 3805, 1073, 28, 70, "RelatedTutorialsSection",ExpressionUUID->"2e44e389-338c-4201-8b5c-555a62b8217a"], +Cell[138872, 3835, 3069, 83, 70, "TutorialRelatedLinksSection",ExpressionUUID->"489432ca-60f7-4fea-917c-41561cde8aae"] +}, Open ]], +Cell[141956, 3921, 78, 0, 70, "FooterCell",ExpressionUUID->"6175b0df-fec9-4503-a8a5-817bac7a7ea6"] } ] *) diff --git a/Q3/Kernel/Pauli.wl b/Q3/Kernel/Pauli.wl index d50cf94f1..5ab59dbe0 100644 --- a/Q3/Kernel/Pauli.wl +++ b/Q3/Kernel/Pauli.wl @@ -4746,11 +4746,11 @@ TraceDistance[a_, b_, ss:{___?SpeciesQ}] := Fidelity::usage = "Fidelity[\[Rho],\[Sigma]] returns the fidelity of the states \[Rho] and \[Sigma]. \[Rho] and \[Sigma] can take a vector (pure state), matrix (mixed state), ket expression (pure state), or opertor expression (mixed state).\nSee also ClassicalFidelity." Fidelity[a_?MatrixQ, b_?MatrixQ] := With[ - {c = MatrixPower[a, 1/2]}, + { c = MatrixPower[a, 1/2] }, Tr @ MatrixPower[c . b . c, 1/2] - ] +] -Fidelity[v_?VectorQ, m_?MatrixQ] := Chop @ Sqrt[Conjugate[v] . m . v] +Fidelity[v_?VectorQ, m_?MatrixQ] := Sqrt[Conjugate[v] . m . v] Fidelity[m_?MatrixQ, v_?VectorQ] := Fidelity[v, m] @@ -4796,9 +4796,7 @@ probabilityQ[_] = False (**** *****) -(* ***************************************************************** *) -(* *) -(* ***************************************************************** *) +(**** ****) Vertex::usage = "Vertex[a, b, ...] represents an interaction vertex.\nNot to be confused with Vertices in Graph or related functions." @@ -5089,9 +5087,7 @@ chiralVertexRulesShort[ii_List, jj_List, spec:{__Rule}] := spec chiralVertexRulesShort[ii_List, jj_List, spec:{row_, col_}] := Join[ vertexRulesShort[ii, row], vertexRulesShort[jj, col] ] -(* ***************************************************************** *) -(* *) -(* ***************************************************************** *) +(**** ****) (***** ****) diff --git a/Q3/Kernel/VonNeumann.wl b/Q3/Kernel/VonNeumann.wl index 26fe2c804..efc87e1af 100644 --- a/Q3/Kernel/VonNeumann.wl +++ b/Q3/Kernel/VonNeumann.wl @@ -7,57 +7,42 @@ BeginPackage["Q3`"] { VonNeumannEntropy, QuantumLog }; { RenyiEntropy }; -{ EntanglementEntropy }; +{ EntanglementEntropy, CrossEntropy }; { MutualInformation }; Begin["`Private`"] +(**** ****) + WeightedLog::usage = "WeightedLog[z] returns -z*Log[2, z], the weighted logarithm to base 2.\nWeightedLog[0] = 0.\nWeightedLog[p, q] returns -p*Log[2, q].\nWeightedLog[0, q] = 0.\nWeightedLog[p>0, 0] = \[Infinity]." SetAttributes[WeightedLog, Listable] WeightedLog[0] = 0 -WeightedLog[z_] := 0 /; Chop[z] == 0 - -WeightedLog[z_?Positive] := -z * Log2[z] - - -WeightedLog[0, _] = 0 - -WeightedLog[_?Positive, 0] = Infinity - -WeightedLog[p_?Positive, q_?Positive] := -p * Log2[q] - +WeightedLog[_?ZeroQ] = 0 WeightedLog[z_] := -z * Log2[z] -ShannonEntropy::usage = "ShannonEntropy[{p1, p2, \[Ellipsis]}] returns the base 2 Shannon entropy of the probability distribution {p1, p2, \[Ellipsis]}.\nShannonEntropy[{p1, p2, \[Ellipsis]}, {q1, q2, \[Ellipsis]}] returns the relative entropy between the two probability distributions {p1, p2, \[Ellipsis]} and {q1, q2, \[Ellipsis]}." +WeightedLog[0, _] = 0 -ShannonEntropy::noprb = "`` does not seem to be a probability distribution." +WeightedLog[_?ZeroQ, _] = 0 -ShannonEntropy[pp_?VectorQ] := - (Message[ShannonEntropy::noprb, pp]; 0) /; - Not @ AllTrue[Chop @ pp, NonNegative] +WeightedLog[_?Positive, _?ZeroQ] = Infinity -ShannonEntropy[pp_?VectorQ, qq_?VectorQ] := - (Message[ShannonEntropy::noprb, pp]; 0) /; - Not @ AllTrue[Chop @ pp, NonNegative] +WeightedLog[_, _?ZeroQ] = ComplexInfinity -ShannonEntropy[pp_?VectorQ, qq_?VectorQ] := - (Message[ShannonEntropy::noprb, qq]; 0) /; - Not @ AllTrue[Chop @ qq, NonNegative] +WeightedLog[p_, q_] := -p * Log2[q] -ShannonEntropy[pp_?VectorQ] := Total[WeightedLog @ pp] +(**** ****) -ShannonEntropy[pp_?VectorQ, qq_?VectorQ] := - Total[WeightedLog[pp, qq]] - Total[WeightedLog[pp]] +(**** ****) -QuantumLog::usage = "QuantumLog[p, q] returns -Tr[p ** Log[2, q]] for the observables p and q.\nQuantumLog[p, q, {s1, s2, \[Ellipsis]}] assumes that states p and q, either density operators or ket vectors, are defined for the systems {s1, s2, \[Ellipsis]}.\nQuantumLog is a low-level mathematical function intended for the use in VonNeumannEntropy or related functions." +QuantumLog::usage = "QuantumLog[p, q] returns -Tr[p ** Log[2, q]] for the density operators p and q.\nQuantumLog[p, q, {s1, s2, \[Ellipsis]}] assumes that states p and q, either density operators or ket vectors, are defined for the systems {s1, s2, \[Ellipsis]}.\nQuantumLog is a low-level mathematical function intended for the use in VonNeumannEntropy or related functions." QuantumLog[a_?VectorQ, b_?VectorQ] := If[Fidelity[a, b] == 1, 0, Infinity] @@ -70,7 +55,7 @@ QuantumLog[a_?MatrixQ, b_?VectorQ] := Module[ vec = Flatten[vec]; If[ AllTrue[vec, NumericQ], vec = Normalize[vec] ]; If[ Fidelity[vec, b] == 1, 0, Infinity ] - ] +] QuantumLog[a_?VectorQ, b_?MatrixQ] := Module[ {val, vec}, @@ -79,7 +64,7 @@ QuantumLog[a_?VectorQ, b_?MatrixQ] := Module[ vec = Orthogonalize[vec] ]; Total @ WeightedLog[Abs[Conjugate[a] . Transpose[vec]]^2, val] - ] +] QuantumLog[a_?MatrixQ, b_?MatrixQ] := Module[ { aval, avec, @@ -87,13 +72,13 @@ QuantumLog[a_?MatrixQ, b_?MatrixQ] := Module[ {aval, avec} = Eigensystem[a]; If[ AllTrue[Flatten @ avec, NumericQ] && Not[UnitaryMatrixQ @ avec], avec = Orthogonalize[avec] - ]; + ]; {bval, bvec} = Eigensystem[b]; If[ AllTrue[Flatten @ bvec, NumericQ] && Not[UnitaryMatrixQ @ bvec], bvec = Orthogonalize[bvec] - ]; + ]; Total @ WeightedLog[aval . Abs[Conjugate[avec] . Transpose[bvec]]^2, bval] - ] +] QuantumLog[a_, b_, ss:{___?SpeciesQ}] := @@ -101,6 +86,36 @@ QuantumLog[a_, b_, ss:{___?SpeciesQ}] := QuantumLog[a_, b_] := QuantumLog[a, b, Agents @ {a, b}] +(**** ****) + + +(**** ****) + +ShannonEntropy::usage = "ShannonEntropy[{p1, p2, \[Ellipsis]}] returns the base 2 Shannon entropy of the probability distribution {p1, p2, \[Ellipsis]}.\nShannonEntropy[{p1, p2, \[Ellipsis]}, {q1, q2, \[Ellipsis]}] returns the relative entropy between the two probability distributions {p1, p2, \[Ellipsis]} and {q1, q2, \[Ellipsis]}." + +ShannonEntropy::noprb = "`` does not seem to be a probability distribution." + +ShannonEntropy[pp_?VectorQ] := + (Message[ShannonEntropy::noprb, pp]; 0) /; + Not @ AllTrue[Chop @ pp, NonNegative] + +ShannonEntropy[pp_?VectorQ, qq_?VectorQ] := + (Message[ShannonEntropy::noprb, pp]; 0) /; + Not @ AllTrue[Chop @ pp, NonNegative] + +ShannonEntropy[pp_?VectorQ, qq_?VectorQ] := + (Message[ShannonEntropy::noprb, qq]; 0) /; + Not @ AllTrue[Chop @ qq, NonNegative] + +ShannonEntropy[pp_?VectorQ] := Total[WeightedLog @ pp] + +ShannonEntropy[pp_?VectorQ, qq_?VectorQ] := + Total[WeightedLog[pp, qq]] - Total[WeightedLog[pp]] + +(**** ****) + + +(**** ****) VonNeumannEntropy::usage = "VonNeumannEntropy[mat|vec] returns the base 2 VonNeumann entropy of the quantum state described by the density matrix 'mat' or vector 'vec'.\nVonNeumannEntropy[mat1, mat2] returns the quantum relative entropy of the mixed state mat1 with respect to mat2." @@ -127,6 +142,8 @@ VonNeumannEntropy[rho_, sgm_, ss:{___?SpeciesQ}] := VonNeumannEntropy[rho_, sgm_] := VonNeumannEntropy[rho, sgm, Agents @ {rho, sgm}] +(**** ****) + (**** ****) @@ -192,7 +209,8 @@ RenyiEntropy[a_?Positive, rho_?MatrixQ, sgm_?MatrixQ] := Dot[ MatrixPower[sgm, (1-a)/(2*a)], rho, MatrixPower[sgm, (1-a)/(2*a)] - ], a ] ] / (a - 1) + ], a ] + ] / (a - 1) RenyiEntropy[a_, rho_] := RenyiEntropy[a, rho, Agents @ rho] @@ -224,7 +242,7 @@ EntanglementEntropy::qubit = "`` does not seem to be a vector or matrix for qubi EntanglementEntropy[rho:(_?VectorQ|_?MatrixQ), jj:{__Integer}] := ( Message[EntanglementEntropy::qubit, rho]; rho - ) /; Not @ IntegerQ @ Log[2, Length @ rho] +) /; Not @ IntegerQ @ Log[2, Length @ rho] EntanglementEntropy[rho:(_?VectorQ|_?MatrixQ), jj:{__Integer}] := EntanglementEntropy[rho, ConstantArray[2, Log[2, Length @ rho]], jj] @@ -243,21 +261,37 @@ EntanglementEntropy[expr_, ss:{__?SpeciesQ}] := Module[ qq = Union[qq, rr]; jj = Flatten @ Map[FirstPosition[qq, #]&, Complement[qq, rr]]; VonNeumannEntropy @ PartialTrace[Matrix[expr, qq], Dimension[qq], jj] - ] +] EntanglementEntropy[expr_, jj:{__Integer}] := Module[ { nn = Length @ FirstCase[expr, _Ket, Infinity] }, VonNeumannEntropy @ PartialTrace[Matrix[expr], Complement[Range @ nn, jj]] - ] /; fPauliKetQ[expr] +] /; fPauliKetQ[expr] EntanglementEntropy[expr_, jj:{__Integer}] := Module[ { nn = Length @ FirstCase[expr, _Pauli, Infinity] }, VonNeumannEntropy @ PartialTrace[Matrix[expr], Complement[Range @ nn, jj]] - ] /; Not @ FreeQ[expr, _Pauli] +] /; Not @ FreeQ[expr, _Pauli] (**** ****) + +(**** ****) + +CrossEntropy::usage = "CrossEntropy[{p1, p2, \[Ellipsis]}, {q1, q2, \[Ellipsis]}] returns the classical cross-entropy between two probability distributions {p1, p2, \[Ellipsis]} and {q1, q2, \[Ellipsis]}.\nCrossEntropy[rho, sgm] returns the quantum cross-entropy between two density matrices rho and sgm." + +CrossEntropy[pp_?VectorQ, qq_?VectorQ] := Total @ WeightedLog[pp, pp] + +CrossEntropy[rho_?MatrixQ, sgm_?MatrixQ] := QuantumLog[rho, sgm] + +CrossEntropy[rho_, sgm_] := With[ + { ss = Agents @ {rho, sgm} }, + QuantumLog[Matrix[rho, ss], Matrix[sgm, ss]] +] + +(**** ****) + End[] EndPackage[] diff --git a/Q3/Kernel/Wick.wl b/Q3/Kernel/Wick.wl index d81bc0ac8..3c590443e 100644 --- a/Q3/Kernel/Wick.wl +++ b/Q3/Kernel/Wick.wl @@ -2,12 +2,12 @@ BeginPackage["Q3`"] { WickLogarithmicNegativity, WickTimeReversalMoment }; -{ WickState, WickHistory, WickOperate, WickUnitary, +{ WickState, WickHistory, WickOperator, WickUnitary, WickExpectation, WickGreensFunction }; -{ WickRandomCircuit }; +{ WickCircuit, WickRandomCircuit }; -{ EntanglementEntropy }; (* mainly in vonNeumann.wl *) +{ EntanglementEntropy, VonNeumannEntropy }; (* mainly in vonNeumann.wl *) Begin["`Private`"] @@ -125,12 +125,12 @@ WickLogarithmicNegativity[{grn_?MatrixQ, anm_?MatrixQ}, kk:{__Integer}, opts:Opt (**** ****) -(**** ****) +(**** ****) -NambuTransforms /: -MakeBoxes[NambuTransforms[trs:{{_?MatrixQ, _?MatrixQ}..}], fmt_] := +NambuMatrices /: +MakeBoxes[NambuMatrices[trs:{{_?MatrixQ, _?MatrixQ}..}], fmt_] := BoxForm`ArrangeSummaryBox[ - "NambuTransforms", trs, None, + "NambuMatrices", trs, None, { BoxForm`SummaryItem @ { "Number of Transformations: ", Length @ trs }, BoxForm`SummaryItem @ { "Dimensions of each: ", Dimensions @ trs[[1, 1]] } }, @@ -140,7 +140,7 @@ MakeBoxes[NambuTransforms[trs:{{_?MatrixQ, _?MatrixQ}..}], fmt_] := "Interpretable" -> Automatic ] /; ArrayQ[trs] -(**** ****) +(**** ****) (**** ****) @@ -159,7 +159,7 @@ MakeBoxes[vec:WickState[pp:{___?FermionQ}, mm:{{_?MatrixQ, _?MatrixQ}...}, ff_?M BoxForm`SummaryItem @ { "Initial occupation: ", vec["Initial occupation"] } }, { BoxForm`SummaryItem @ { "Encoded modes: ", pp }, - BoxForm`SummaryItem @ { "Transformations: ", NambuTransforms @ mm }, + BoxForm`SummaryItem @ { "Transformations: ", NambuMatrices @ mm }, BoxForm`SummaryItem @ { "Wick matrix: ", ff } }, fmt, @@ -195,7 +195,7 @@ WickState[spec:({__?AnyFermionQ} | {_?MatrixQ, _?MatrixQ} | _?MatrixQ)..., aa_As Module[ { cc = Keys[aa], enc, trs, mat }, - {enc, trs, mat} = getWickMatrix[cc][spec, Dagger @ Keys @ theKetTrim @ aa]; + {enc, trs, mat} = wmBuild[cc][spec, Dagger @ Keys @ theKetTrim @ aa]; WickState[enc, trs, mat, cc] ] @@ -223,51 +223,49 @@ WickHistory[ws_WickState, t_Integer] := Module[ { dd, uu, mm, cc, rr, ss }, {dd, uu, mm, cc} = List @@ ws; dd = Select[dd, First[#] <= t &]; - mm = cutWickMatrix[mm, Length[dd]/2]; + mm = wmTake[mm, Length[dd]/2]; WickState[dd, Take[uu, UpTo[t]], mm, cc] ] -(**** ****) - - -(**** ****) - -WickOperate::usage = "WickOperate[{c1,c2,...,ck}, ws] returns the output state in the form of WickState upon applying c1**c2**...**ck on WickState ws.\nWickOperate[{u, v}, ws] returns the output state when applying the unitary operator specified by matrices {u, v}." - -Format[WickOperate[trs:{_?MatrixQ, _?MatrixQ}]] := - WickOperate[NambuTransforms @ trs] +WickHistory[{wc_WickCircuit, ws_WickState}] := Module[ + { cc, id, new, n }, + cc = Cases[First @ ws, c_[1, k_, 1] -> c[1, k, _], 1]; + id = WickUnitary @ theNambuOne[Length @ Last @ ws]; + new = FoldList[wcEvent, {cc, {id}}, First @ wc]; + wsClone[ws] /@ new +] -WickOperate[any_][ws_WickState] := WickOperate[any, ws] - - -WickOperate[msr_Measurement, ws_WickState] := msr[ws] - -WickOperate[trs_WickUnitary, ws_WickState] := trs[ws] -WickOperate[trs:{_?MatrixQ, _?MatrixQ}, ws_WickState] := - WickUnitary[trs][ws] +wsClone[ws_WickState][{enc_, trs_}] := Module[ + { dd, mm, n }, + dd = Cases[First @ ws, Alternatives @@ enc]; + n = Length[dd] / 2; + mm = wmTake[ws[[3]], n]; + WickState[dd, trs /. {WickUnitary -> Identity}, mm, Last @ ws] +] -(* For the vacuum state *) -WickOperate[op:{__?AnyFermionQ}, WickState[{}, {uv_}, {{}}, cc:{__?FermionQ}]] := - Module[ - {enc, trs, mat}, - {enc, trs, mat} = getWickMatrix[cc][op, uv]; - WickState[enc, trs, mat, cc] - ] +wcEvent[{enc_, trs_}, wu_WickUnitary] := Module[ + { t = Max[First /@ enc], + new }, + new = theNambuDot[wu, Last @ trs]; + new = If[ t < Length[trs], + Append[Most @ trs, new], + Append[trs, new] + ]; + {enc, new} +] -WickOperate[op:{__?AnyFermionQ}, ws_WickState] := - Module[ - { enc, trs, mat, dd }, - {enc, trs, mat} = List @@ Most[ws]; - dd = Join[Dagger @ Reverse @ op, op]; - dd = theWickCode[Last @ ws][dd, {Length @ trs}]; - {enc, trs, mat} = jamWickMatrix[dd, enc, trs, mat, Length[enc]/2]; - WickState[enc, trs, mat, Last @ ws] - ] +wcEvent[{enc_, trs_}, Measurement[cc_]] := Module[ + { t = Length[trs], + new }, + new = Prepend[#, t]& /@ Through[cc[_]]; + new = Join[new, enc]; + {new, trs} +] -(**** ****) +(**** ****) (**** ****) @@ -304,6 +302,41 @@ WickUnitary[trs:{_?MatrixQ, _?MatrixQ}][ws_WickState] := (**** ****) +(**** ****) + +WickOperator::usage = "WickOperator[{c1,c2,...,ck}] represents an operator equivalent to c1**c2**...**ck, but is to be applied to a Wick state. on WickState ws.\nWickOperator[Measurement[c]] or WickOperator[Measurement[{c1, c2, \[Ellipsis]}]] is equivalent to Measurement[\[Ellipsis]].\nWickOperator[{u, v}] is equivalent to WickUnitary[{u, v}]." + +WickOperator[msr_Measurement] = msr + +WickOperator[trs_WickUnitary] = trs + +WickOperator[trs:{_?MatrixQ, _?MatrixQ}] := + WickUnitary[trs] + + +(* For the vacuum state *) +WickOperator[op:{__?AnyFermionQ}][WickState[{}, {uv_}, {{}}, cc:{__?FermionQ}]] := + Module[ + {enc, trs, mat}, + {enc, trs, mat} = wmBuild[cc][op, uv]; + WickState[enc, trs, mat, cc] + ] + +WickOperator[{}][ws_WickState] = ws + +WickOperator[op:{__?AnyFermionQ}][ws_WickState] := + Module[ + { enc, trs, mat, dd }, + {enc, trs, mat} = List @@ Most[ws]; + dd = Join[Dagger @ Reverse @ op, op]; + dd = theWickCode[Last @ ws][dd, {Length @ trs}]; + {enc, trs, mat} = wmWedge[dd, enc, trs, mat, Length[enc]/2]; + WickState[enc, trs, mat, Last @ ws] + ] + +(**** ****) + + (**** ****) Measurement[c_?FermionQ][ws_WickState] := Module[ @@ -318,7 +351,7 @@ Measurement[c_?FermionQ][ws_WickState] := Module[ op = theWickCode[cc][{c, Dagger @ c}, {tt}]; (* op := c ** Dagger[c] *) (* For the expectation value of c ** Dagger[c] *) - {bb, vv, nn} = jamWickMatrix[op, aa, uu, mm, kk]; + {bb, vv, nn} = wmWedge[op, aa, uu, mm, kk]; (* Simulate the measurement process. *) (* NOTE: WickState is unnormalized. *) @@ -326,13 +359,13 @@ Measurement[c_?FermionQ][ws_WickState] := Module[ $MeasurementOut[c] = 0, $MeasurementOut[c] = 1; op = Reverse @ op; (* op := Dagger[c] ** c *) - {bb, vv, nn} = jamWickMatrix[op, aa, uu, mm, kk] + {bb, vv, nn} = wmWedge[op, aa, uu, mm, kk] ]; (* PrintTemporary["Measurement outcome on mode ", c, ": ", $MeasurementOut[c]]; *) (* Construct the post-measurment state. *) - {bb, vv, nn} = jamWickMatrix[op, bb, vv, nn, kk]; + {bb, vv, nn} = wmWedge[op, bb, vv, nn, kk]; WickState[bb, vv, nn, cc] ] @@ -375,7 +408,7 @@ WickExpectation[ws_WickState][ops:{__?AnyFermionQ}] := Module[ dd, pp, uv, mm, gg }, dd = theWickCode[cc][ops, {tt}]; {pp, uv, mm} = List @@ Most[ws]; - gg = Last @ jamWickMatrix[dd, pp, uv, mm, Length[pp]/2]; + gg = Last @ wmWedge[dd, pp, uv, mm, Length[pp]/2]; Pfaffian[gg] / Pfaffian[mm] ] @@ -384,7 +417,7 @@ WickExpectation[ws_WickState][ops:{__?AnyFermionQ}] := Module[ (**** ****) -WickGreensFunction::usage = "WickGreensFunction[ws] returns the pair {G, F} of normal Green's function G and anomalous Green's function F with respect to the Wick state ws." +WickGreensFunction::usage = "WickGreensFunction[ws] returns the pair {G, F} of normal Green's function G and anomalous Green's function F with respect to the Wick state ws.\nWickGreensFunction[ws, {d1, d2, \[Ellipsis]}] calculates the Green's functionns over the modes {d1, d2, \[Ellipsis]} out of all fermion modes in ws." WickGreensFunction[ws_WickState] := WickGreensFunction[ws, Last @ ws] @@ -403,22 +436,28 @@ WickGreensFunction[ws_WickState, dd:{___?FermionQ}] := Module[ bb = dagWickCode /@ aa; (* NOT dagWickCode[aa] *) (* Green's function *) - gg = Flatten @ Table[ - {i, j} -> Pfaffian @ Last @ jamWickMatrix[{aa[[i]], bb[[j]]}, pp, uv, mm, L], - {i, 1, n}, - {j, i, n} + gg = Table[ + {i, i} -> Re @ Pfaffian @ Last @ wmWedge[{aa[[i]], bb[[i]]}, pp, uv, mm, L], + {i, 1, n} + ]; (* supposed to be real *) + gg = Join[ gg, + Flatten @ Table[ + {i, j} -> Pfaffian @ Last @ wmWedge[{aa[[i]], bb[[j]]}, pp, uv, mm, L], + {i, 1, n}, + {j, i+1, n} + ] ]; gg = SymmetrizedArray[gg, {n, n}, Hermitian @ {1, 2}]; (* anomalous Green's function *) ff = Flatten @ Table[ - {i, j} -> Pfaffian @ Last @ jamWickMatrix[{aa[[i]], aa[[j]]}, pp, uv, mm, L], + {i, j} -> Pfaffian @ Last @ wmWedge[{aa[[i]], aa[[j]]}, pp, uv, mm, L], {i, 1, n}, {j, i+1, n} ]; ff = SymmetrizedArray[ff, {n, n}, Antisymmetric @ {1, 2}]; - Normal @ {gg, ff} / Pfaffian[mm] + {gg, ff} / Re[Pfaffian @ mm] (* This Pfaffian is supposed to be real. *) ] (**** ****) @@ -449,37 +488,34 @@ EntanglementEntropy[ws_WickState, dd:{__?FermionQ}] := Module[ id, ff }, id = One[Dimensions @ First @ gg]; gg = ArrayFlatten @ { gg, - {Topple @ Last @ gg, id - Transpose[First @ gg]} + {Topple[Last @ gg], id - Transpose[First @ gg]} }; id = One[Dimensions @ gg]; - ff = id - gg; - ff = ff . Check[ MatrixLog[ff], MatrixLog[tameMatrix[ff, ee]] ]; - gg = gg . Check[ MatrixLog[gg], MatrixLog[tameMatrix[gg, ee]] ]; - - (Tr[ff] + Tr[gg]) / 2 + (VonNeumannEntropy[gg] + VonNeumannEntropy[id - gg]) / 2 ] (**** ****) -(**** ****) +(**** ****) -getWickMatrix::usage = "getWickMatrix[{c1,c2,...}][spec] parse spec and create the Wick matrix." +wmBuild::usage = "wmBuild[{c1,c2,...}][spec] parse spec and create the Wick matrix." -getWickMatrix[cc_][pre___, aa:{_?MatrixQ, _?MatrixQ}, bb:{_?MatrixQ, v_?MatrixQ}.., Shortest[post___]] := - getWickMatrix[cc][pre, theNambuDot[aa, bb], post] +wmBuild[cc_][pre___, aa:{_?MatrixQ, _?MatrixQ}, bb:{_?MatrixQ, v_?MatrixQ}.., Shortest[post___]] := + wmBuild[cc][pre, theNambuDot[aa, bb], post] -getWickMatrix[cc_][pre___, aa_?MatrixQ, bb__?MatrixQ, Shortest[post___]] := - getWickMatrix[cc][pre, Dot[aa, bb], post] +wmBuild[cc_][pre___, aa_?MatrixQ, bb__?MatrixQ, Shortest[post___]] := + wmBuild[cc][pre, Dot[aa, bb], post] -getWickMatrix[cc_][pre___, aa_?MatrixQ, post___] := - getWickMatrix[cc][pre, toNambuForm @ aa, post] +wmBuild[cc_][pre___, aa_?MatrixQ, post___] := + wmBuild[cc][pre, toNambuForm @ aa, post] (* OUTPUT: {enc, trs, mat} enc: the list of encoded modes trs: the transformations of the encoded modes mat: the Wick matrix *) -getWickMatrix[cc:{__?FermionQ}][spec:({___?AnyFermionQ} | {_?MatrixQ, _?MatrixQ})...] := +wmBuild[cc:{__?FermionQ}][spec:({___?AnyFermionQ} | {_?MatrixQ, _?MatrixQ})...] := Module[ { trs = Cases[{spec}, {_?MatrixQ, _?MatrixQ}, {1}], enc = Flatten /@ SequenceSplit[{spec, {}}, {{_?MatrixQ, _?MatrixQ}}], @@ -507,12 +543,12 @@ getWickMatrix[cc:{__?FermionQ}][spec:({___?AnyFermionQ} | {_?MatrixQ, _?MatrixQ} {enc, trs, mat} ] -(**** ****) +(**** ****) -(**** ****) +(**** ****) -jamWickMatrix::usage = "jamWickMatrix[dd, pp, mm, mat, n] cleaves the Wick matrix mat at row and column n and add additional blocks with rows and columns corresponding to the new fermion modes dd." +wmWedge::usage = "wmWedge[dd, pp, mm, mat, n] cleaves the Wick matrix mat at row and column n and wedge into there additional blocks with rows and columns corresponding to the new fermion modes dd." (* INPUT dd : the list of new fermion modes to wedge into the Wick matrix mat. @@ -522,7 +558,7 @@ jamWickMatrix::usage = "jamWickMatrix[dd, pp, mm, mat, n] cleaves the Wick matri n : the row and column where the new modes to be wedged. *) (* NOTE: Both dd and pp are given in the form of encoded modes. *) -jamWickMatrix[ dd:{__?FermionQ}, (* encoded modes *) +wmWedge[ dd:{__?FermionQ}, (* encoded modes *) pp:{__?FermionQ}, uv:{{_?MatrixQ, _?MatrixQ}...}, mm_SymmetrizedArray, n_Integer] := Module[ { m = Length[dd], @@ -564,14 +600,14 @@ jamWickMatrix[ dd:{__?FermionQ}, (* encoded modes *) } ] -(**** ****) +(**** ****) -(**** ****) +(**** ****) -cutWickMatrix::usage = "cutWickMatrix[mat,k] takes the first and last k rows and columns of matrix mat." +wmTake::usage = "wmTake[mat,k] takes the first and last k rows and columns of Wick matrix mat." -cutWickMatrix[mat_SymmetrizedArray, k_Integer] := Module[ +wmTake[mat_SymmetrizedArray, k_Integer] := Module[ { n = First[Dimensions@mat], rr }, rr = Most@SymmetrizedArrayRules[mat]; @@ -587,12 +623,12 @@ cutWickMatrix[mat_SymmetrizedArray, k_Integer] := Module[ SymmetrizedArray[rr, {2 k, 2 k}, Antisymmetric@{1, 2}] ] -(**** ****) +(**** ****) (**** ****) -theWickContract::usage = "theWickContract[mm][{a, i, j}, {b, p, q}] calcualtes the elements of matrix M." +theWickContract::usage = "theWickContract[mm][a, b] calcualtes the Wick contraction between two dressed modes a and b." (* input: {level, species, sheer/dagger} *) (* mm:{{_?MatrixQ, _?MatrixQ}..} *) @@ -615,7 +651,7 @@ theWickContract[mm:{{_?MatrixQ, _?MatrixQ}..}][f_[i_, a_, 1], f_[j_, b_, 1]] := (**** ****) -theWickCode::usage = "theWickCode[rules][{c1, c2, ...}, {time}] converts each fermion operator c[k] to {time, k, 0} and Dagger[c[k]] to {time, k, 1}.\nIntended to be used with MapIndexed." +theWickCode::usage = "theWickCode[rules][{c[k1], c[k2], ...}, {time}] converts each fermion operator c[k] to c[time, k, 0] and Dagger[c[k]] to c[time, k, 1].\nIntended to be used with MapIndexed." (* output: {time, species, sheer/dagger} *) @@ -654,6 +690,9 @@ theNambuDot[{u1_?MatrixQ, v1_?MatrixQ}, {u2_?MatrixQ, v2_?MatrixQ}] := {u1.u2 + v1.Conjugate[v2], u1.v2 + v1.Conjugate[u2]} (* Convention: barc_i --> barU_{ij}barc_j with barU := {{U, V}, Conjugate @ {V, U}} *) +theNambuDot[a_WickUnitary, b_WickUnitary] := + WickUnitary @ theNambuDot[First @ a, First @ b] + theNambuOne::usage = "theNambuOne[n] returns the pair {One[n], Zero[n,n]}." @@ -672,7 +711,8 @@ toNambuForm[m_?MatrixQ] := {m, Zero @ Dimensions @ m} WickRandomCircuit::usage = "WickRandomCircuit[{c1, c2, \[Ellipsis]}, wu, p, t] simulates a random quantum circuit of depth t, where layers of Wick unitary wu alternate with layers of measurements on fermion modes selected randomly from {c1, c2, \[Ellipsis]} with probability p." Options[WickRandomCircuit] = { - "Samples" -> 50, + "InitialOccupation" -> Automatic, + "Samples" -> {10, 5}, "SaveData" -> False, "Overwrite" -> True, "Filename" -> Automatic, @@ -689,21 +729,25 @@ WickRandomCircuit[ Module[ { k = 0, progress = 0, - in, qc, data, n }, + in, qc, data, n, m }, PrintTemporary @ ProgressIndicator @ Dynamic[progress]; (* initial state with half-filling *) n = Length[cc]; - in = PadRight[Riffle[Table[1, Floor[n/2]], Table[0, Floor[n/2]]], n, 1]; - in = wu[WickState @ Ket[cc -> in]]; + in = OptionValue["InitialOccupation"]; + If[ in === Automatic, in = Riffle[Table[1, Floor[n/2]], Table[0, Floor[n/2]]] ]; + in = WickState @ Ket[cc -> PadRight[in, n]]; (* quantum circuit with randomly selected measurements *) - - n = OptionValue["Samples"]; + {n, m} = doAssureList[OptionValue["Samples"], 2]; data = Table[ - progress = ++k / n; - qc = Riffle[Measurement /@ RandomPick[cc, p, t], wu]; - Fold[Construct[#2, #1]&, in, qc], + qc = Riffle[ + Table[wu, t], + Measurement /@ RandomPick[cc, p, t] + ]; + { WickCircuit[qc, cc], + Table[progress = ++k/(n*m); Fold[Construct[#2, #1]&, in, qc], m] + }, n ]; @@ -729,6 +773,26 @@ Module[ (**** ****) +(**** ****) + +WickCircuit::usage = "WickCircuit[{g1, g2, \[Ellipsis]}, {c1, c2, \[Ellipsis]}] represents a Wick random circuit with gates g1, g2, \[Ellipsis] on fermion modes c1, c2, \[Ellipsis]." + +WickCircuit /: +MakeBoxes[wc:WickCircuit[gg:{(_Measurement | _WickUnitary)..}, cc:{___?FermionQ}], fmt_] := + BoxForm`ArrangeSummaryBox[ + WickCircuit, wc, None, + { BoxForm`SummaryItem @ { "Fermion modes: ", cc }, + BoxForm`SummaryItem @ { "Circuit depth: ", Length @ gg } + }, + { BoxForm`SummaryItem @ { "Some elements: ", gg[[;;UpTo[5]]] } + }, + fmt, + "Interpretable" -> Automatic + ] + +(**** ****) + + End[] EndPackage[] diff --git a/Q3/PacletInfo.wl b/Q3/PacletInfo.wl index ecce7fbeb..6dfaec90b 100644 --- a/Q3/PacletInfo.wl +++ b/Q3/PacletInfo.wl @@ -1,6 +1,6 @@ Paclet[ "Name" -> "Q3", - "Version" -> "3.4.1", + "Version" -> "3.4.2", "WolframVersion" -> "12.3+", "Updating" -> Automatic, "Loading" -> "Startup", diff --git a/RELEASES.md b/RELEASES.md index 90584f48a..b60d3d924 100644 --- a/RELEASES.md +++ b/RELEASES.md @@ -1,5 +1,12 @@ # Release Notes +## 3.4.2 + +- New function: CrossEntropy +- Enhancement: WeightLog, QuantumLog, EntanglementEntropy, WickGreensFunction, WickHistory +- The output form of WickRandomCircuit has been changed. +- WickOperate has been renamed WickOperator. + ## 3.4.1 - New function StabilizerGenerators.