From 16c2b4ae30d0a0c5ab78307b91c2b19cb09f1976 Mon Sep 17 00:00:00 2001 From: "[Harry Lane]" <[hlane34@gatech.edu]> Date: Tue, 25 Jul 2023 22:18:25 -0400 Subject: [PATCH] Delete duplicates. --- ... vs LSWT example triangular skyrmion.ipynb | 130 ++++++++++-------- src/SpinWaveTheory/Test_scripts/simple_AFM.jl | 116 ---------------- 2 files changed, 75 insertions(+), 171 deletions(-) diff --git a/src/SpinWaveTheory/Test_scripts/KPM vs LSWT example triangular skyrmion.ipynb b/src/SpinWaveTheory/Test_scripts/KPM vs LSWT example triangular skyrmion.ipynb index b9650bc03..cc7072a52 100644 --- a/src/SpinWaveTheory/Test_scripts/KPM vs LSWT example triangular skyrmion.ipynb +++ b/src/SpinWaveTheory/Test_scripts/KPM vs LSWT example triangular skyrmion.ipynb @@ -10,8 +10,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mbackend `GR` is not installed.\n", - "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Plots C:\\Users\\hlane34\\.julia\\packages\\Plots\\3BCH5\\src\\backends.jl:43\u001b[39m\n" + "\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m new project at `c:\\Users\\hlane34\\.julia\\dev\\Sunny\\src\\SpinWaveTheory\\Test_scripts\\Sunny`\n" ] } ], @@ -25,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 19, "id": "649f0440", "metadata": {}, "outputs": [ @@ -1145,8 +1144,6 @@ ], "source": [ "using Sunny\n", - "using SparseArrays\n", - "using LinearAlgebra\n", "Sunny.offline_viewers() " ] }, @@ -1160,7 +1157,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 4, "id": "c184d195", "metadata": {}, "outputs": [], @@ -1176,21 +1173,22 @@ "J = -1\n", "J₁ = J\n", "J₂ = 0.0\n", - "J₃ = -0.33*J\n", + "J₃ = -0.307415*J\n", "D = 0.0\n", "h = 2.5*J₃\n", - "kT =0.307415*J₃ # for diameter 10 skyrmion\n", + "kT =0.3*J₃ # for diameter 10 skyrmion\n", "\n", "set_exchange!(sys, J₁, Bond(1, 1, [1,0,0]))\n", "set_exchange!(sys, J₂, Bond(1, 1, [1,2,0]))\n", "set_exchange!(sys, J₃, Bond(1, 1, [2,0,0]))\n", - "set_anisotropy!(sys, D*𝒮[3]^2, 1)\n", + "S = spin_operators(sys, 1)\n", + "set_onsite_coupling!(sys, D*S[3]^2, 1)\n", "set_external_field!(sys, [0.0, 0.0, h])" ] }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 5, "id": "b7584c77", "metadata": {}, "outputs": [], @@ -1221,18 +1219,10 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 6, "id": "a3f6bc5b", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plot_spins(sys;arrowlength=2.5, linewidth=0.75, arrowsize=1.5)" ] @@ -1247,7 +1237,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 7, "id": "d62a49ec", "metadata": {}, "outputs": [ @@ -1257,17 +1247,17 @@ "text": [ "Dominant wavevectors for spin sublattices:\n", "\n", - " [0, 0, 0] 17.58% weight\n", - " [-1/8, 1/10, 0] 1.93%\n", - " [1/8, -1/10, 0] 1.93%\n", - " [3/40, 1/40, 0] 1.78%\n", - " [-3/40, -1/40, 0] 1.78%\n", - " [1/40, 3/40, 0] 1.72%\n", - " [-1/40, -3/40, 0] 1.72%\n", - " [-1/20, -1/20, 0] 1.62%\n", - " [1/20, 1/20, 0] 1.62%\n", - " [-1/8, 3/40, 0] 1.45%\n", - " [1/8, -3/40, 0] 1.45%\n", + " [0, 0, 0] 23.53% weight\n", + " [1/10, 0, 0] 2.09%\n", + " [-1/10, 0, 0] 2.09%\n", + " [-3/40, 3/40, 0] 1.88%\n", + " [3/40, -3/40, 0] 1.88%\n", + " [1/20, -1/10, 0] 1.80%\n", + " [-1/20, 1/10, 0] 1.80%\n", + " [3/40, -1/10, 0] 1.43%\n", + " [-3/40, 1/10, 0] 1.43%\n", + " [0, 1/10, 0] 1.27%\n", + " [0, -1/10, 0] 1.27%\n", " ... ...\n" ] } @@ -1278,14 +1268,14 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 8, "id": "6796f5de", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "-3002.5242997018195" + "-3098.9412725049415" ] }, "metadata": {}, @@ -1306,14 +1296,14 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 15, "id": "b9e89d96", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "Sunny.ParallelTempering{3, LocalSampler{typeof(propose_flip)}}(100, [0.10144695000000001, 0.11066940000000001, 0.11989185000000001, 0.12911430000000002, 0.13833675, 0.1475592, 0.15678165000000002, 0.16600410000000002, 0.17522655, 0.18444900000000003 … 0.9314674500000001, 0.9406899000000001, 0.9499123500000001, 0.9591348000000002, 0.9683572500000002, 0.9775797000000002, 0.9868021500000002, 0.9960246000000001, 1.0052470500000001, 1.0144695000000001], LocalSampler{typeof(propose_flip)}[LocalSampler{typeof(propose_flip)}(0.10144695000000001, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.11066940000000001, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.11989185000000001, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.12911430000000002, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.13833675, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.1475592, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.15678165000000002, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.16600410000000002, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.17522655, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.18444900000000003, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]) … LocalSampler{typeof(propose_flip)}(0.9314674500000001, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.9406899000000001, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.9499123500000001, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.9591348000000002, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.9683572500000002, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.9775797000000002, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.9868021500000002, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(0.9960246000000001, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(1.0052470500000001, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417]), LocalSampler{typeof(propose_flip)}(1.0144695000000001, 1.0, Sunny.propose_flip, 33.405835938761655, [55.85544371993764, -35.86225145590433, 9.207549841253417])], System{3}[System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)) … System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d)), System{3}(nothing, :SUN, Crystal([3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], [3.0 -1.5 0.0; 0.0 2.598076211353316 0.0; 0.0 0.0 10.0], StaticArraysCore.SVector{3, Float64}[[0.0, 0.0, 0.0]], [\"\"], [1], Sunny.SiteSymmetry[Sunny.SiteSymmetry(\"6/mmm\", 1, 'a')], Sunny.SymOp[Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]) … Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 1.0 0.0; 1.0 0.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([0.0 -1.0 0.0; -1.0 0.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 0.0 0.0; 1.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 0.0 0.0; -1.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([1.0 -1.0 0.0; 0.0 -1.0 0.0; 0.0 0.0 -1.0], [0.0, 0.0, 0.0]), Sunny.SymOp([-1.0 1.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [0.0, 0.0, 0.0])], \"HM symbol 'P 6/m m m' (191)\", 1.0e-5), (40, 40, 1), [3 3 … 3 3; 3 3 … 3 3; … ; 3 3 … 3 3; 3 3 … 3 3;;;;], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0;;;;], [[1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; … ; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0]; [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] … [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0] [1.0 -5.551115123125783e-17 0.0; -5.551115123125783e-17 1.0 0.0; 0.0 0.0 1.0];;;;], Sunny.Interactions[Sunny.Interactions(Sunny.SingleIonAnisotropy(ComplexF64[0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im; 0.0 + 0.0im 0.0 + 0.0im 0.0 + 0.0im], Sunny.StevensExpansion(0, [0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0])), Sunny.Coupling{Float64}[Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -1, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 0, 0]), -1.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, -2, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-1, 1, 0]), 0.0), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, -2, 0]), 0.33000000000000007), Sunny.Coupling{Float64}(false, Bond(1, 1, [-2, 0, 0]), 0.33), Sunny.Coupling{Float64}(false, Bond(1, 1, [0, -2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 1, 0]), -0.9999999999999999), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 0, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 1, 0]), -1.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, -1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [1, 2, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 1, 0]), 0.0), Sunny.Coupling{Float64}(true, Bond(1, 1, [0, 2, 0]), 0.32999999999999996), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 0, 0]), 0.33), Sunny.Coupling{Float64}(true, Bond(1, 1, [2, 2, 0]), 0.33000000000000007)], Sunny.Coupling{StaticArraysCore.SMatrix{3, 3, Float64, 9}}[], Sunny.Coupling{Float64}[])], nothing, [[0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; … ; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001]; [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001] … [0.0, 0.0, 0.8250000000000001] [0.0, 0.0, 0.8250000000000001];;;;], [[0.2702033046580169, -0.25180783538300133, -0.2637336641615612] [0.5754798661610141, -0.6596976381901438, -0.12429004224725837] … [-0.04089662470680544, -0.04672164257487474, -0.7791771224198292] [0.36535866340417983, 0.029990503531704127, -0.29330239230200417]; [-0.7878943373631027, -0.23937691513033485, -0.0128401658161649] [0.4380121471032245, -0.30141656500744196, 0.24704755848019416] … [0.2445250133117993, -0.3161585501384996, 0.32746165170108255] [0.7188879703155837, -0.13087618426133402, 0.09340765009515843]; … ; [-0.18455152519000012, -0.9217224024171868, 0.33745479212326746] [0.15345569145716542, -0.018810309772996324, -0.6920122410554295] … [-0.3321924412532721, -0.4493872963398878, 0.3006450424750236] [-0.07900310910617311, -0.38157124499247114, -0.7612642753210799]; [-0.4056489422815856, -0.2634489980953544, -0.7669504610499002] [0.49673840684008524, 0.19678338821458596, -0.18524589181796325] … [0.20639782186393957, -0.010906285018349171, 0.2661982311686051] [0.2754777003625589, -0.10187540096876735, -0.4187114177666339];;;;], [[-0.3063088551297543 - 0.21410853799406857im, 0.35196786378833766 + 0.5771046674157092im, 0.4221961351414121 + 0.47450149462996855im] [0.28018480983100535 + 0.023799271175860687im, 0.6529417775822318 - 0.539663901797609im, -0.009924281102384113 - 0.4508452992550749im] … [-0.09242208656832436 + 0.31777773200754195im, 0.0010972328383587549 - 0.04210244136946705im, -0.8777859243222356 + 0.34379284827798223im] [0.4039944244724791 + 0.23925000251800332im, 0.2609354255060264 - 0.44464164671627im, 0.6949889088198447 - 0.17534214447508042im]; [-0.2898037534110791 + 0.2238799106471074im, 0.8463958150341061 + 0.05056776356112397im, -0.3829000378860204 + 0.018334576230592058im] [0.3363925144873892 + 0.5398975490529976im, 0.6407664347625537 - 0.16482524081194458im, 0.33899233420404484 + 0.20660572631774093im] … [0.5509288766708327 - 0.5819198771107205im, -0.0408682578218601 - 0.20367792259104903im, -0.4860960647135158 - 0.2800041690676989im] [0.12366231074494578 + 0.3463980182245017im, 0.5101834845091856 + 0.7500350351629852im, 0.12278126505878811 + 0.16371030811786705im]; … ; [0.3997396703165872 - 0.546198550171095im, -0.5907260161912866 - 0.2687903373456698im, -0.08370398587964828 + 0.337140194664493im] [-0.021413218740198924 - 0.3650648365045502im, 0.03982260069690034 + 0.19733270849123466im, 0.2932321532931723 + 0.8600918591170297im] … [-0.42667287778755664 + 0.6439377067524056im, 0.3025505153426168 - 0.12528846118783563im, -0.27699233738476137 - 0.4683329129712808im] [0.15105627001115957 + 0.1707693604730387im, 0.1125356817081128 + 0.34944399071854204im, 0.6759323584569699 - 0.5969588706920548im]; [0.13629568194470837 - 0.044066368899673594im, 0.2176074893640564 + 0.3803416936824323im, 0.15098712386454105 - 0.8744550916209415im] [0.09157138244709616 + 0.5834353184225662im, -0.26336769000935817 + 0.21869474229835573im, -0.49237531999337975 + 0.5399949304812905im] … [-0.19224607690649048 + 0.6887218748037134im, 0.17480515857349063 + 0.46157192057852237im, -0.4809046119355661 - 0.11759633484754356im] [-0.06186530013027424 + 0.4280870957078742im, -0.42726374556445423 - 0.1567243446819175im, -0.6859655467141744 + 0.3677615577511728im];;;;], Array{StaticArraysCore.SVector{3, Float64}, 4}[], Array{StaticArraysCore.SVector{3, ComplexF64}, 4}[], Sunny.PhysicalConsts(201.33545383470704, 0.057883818060738015), Random.Xoshiro(0xa571b988d3a41388, 0x15334694eee162fa, 0xf01da0c1a9668223, 0x2ac655ebd884733d))], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10 … 91, 92, 93, 94, 95, 96, 97, 98, 99, 100], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])" + "Sunny.ParallelTempering{3, LocalSampler{typeof(propose_flip)}}(150, [0.0922245, 0.09284345637583892, 0.09346241275167785, 0.09408136912751677, 0.0947003255033557, 0.09531928187919463, 0.09593823825503356, 0.09655719463087248, 0.09717615100671141, 0.09779510738255033 … 0.17887839261744967, 0.1794973489932886, 0.1801163053691275, 0.18073526174496643, 0.18135421812080538, 0.1819731744966443, 0.18259213087248322, 0.18321108724832214, 0.18383004362416108, 0.184449], LocalSampler{typeof(propose_flip)}[LocalSampler{typeof(propose_flip)}(0.0922245, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.09284345637583892, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.09346241275167785, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.09408136912751677, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.0947003255033557, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.09531928187919463, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.09593823825503356, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.09655719463087248, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.09717615100671141, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.09779510738255033, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]) … LocalSampler{typeof(propose_flip)}(0.17887839261744967, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.1794973489932886, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.1801163053691275, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.18073526174496643, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.18135421812080538, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.1819731744966443, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.18259213087248322, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.18321108724832214, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.18383004362416108, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577]), LocalSampler{typeof(propose_flip)}(0.184449, 1.0, Sunny.propose_flip, -29.46813776536273, [17.822432237383456, -10.90414266556908, -5.780754831936577])], System{3}[System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1] … System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1], System{SU(3)}[(40, 40, 1)×1]], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10 … 141, 142, 143, 144, 145, 146, 147, 148, 149, 150], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])" ] }, "metadata": {}, @@ -1323,9 +1313,9 @@ "source": [ "# temperature schedule for thermodynamics\n", "kT_min = kT\n", - "kT_max = 5*kT\n", + "kT_max = 2*kT\n", "randomize_spins!(sys)\n", - "n_replicas = 100 # can be larger than number of cores on machine\n", + "n_replicas = 150 # can be larger than number of cores on machine\n", "kT_sched = collect(range(kT_min, kT_max, length=n_replicas))\n", "\n", "# use Metropolis sampler for Ising system\n", @@ -1337,10 +1327,40 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 16, "id": "9cfbe199", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "150-element Vector{Float64}:\n", + " 0.9366666666666666\n", + " 0.94\n", + " 0.9433333333333334\n", + " 0.9433333333333334\n", + " 0.9433333333333334\n", + " 0.92\n", + " 0.97\n", + " 0.9433333333333334\n", + " 0.9633333333333334\n", + " 0.95\n", + " ⋮\n", + " 0.99\n", + " 0.96\n", + " 0.99\n", + " 0.9766666666666667\n", + " 0.9733333333333334\n", + " 0.9666666666666667\n", + " 0.9733333333333334\n", + " 0.9633333333333334\n", + " NaN" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# sampling parameters\n", "n_therm = 1000 #start 1000\n", @@ -1371,7 +1391,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "id": "6b788666", "metadata": {}, "outputs": [], @@ -1381,7 +1401,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 18, "id": "ac0a1ac1", "metadata": {}, "outputs": [ @@ -1391,17 +1411,17 @@ "text": [ "Dominant wavevectors for spin sublattices:\n", "\n", - " [0, 0, 0] 0.36% weight\n", - " [-1/20, 13/40, 0] 0.20%\n", - " [1/20, -13/40, 0] 0.20%\n", - " [-3/20, 9/20, 0] 0.20%\n", - " [3/20, -9/20, 0] 0.20%\n", - " [-1/20, -7/20, 0] 0.20%\n", - " [1/20, 7/20, 0] 0.20%\n", - " [-1/8, -17/40, 0] 0.19%\n", - " [1/8, 17/40, 0] 0.19%\n", - " [3/10, 17/40, 0] 0.19%\n", - " [-3/10, -17/40, 0] 0.19%\n", + " [-3/40, 19/40, 0] 0.20% weight\n", + " [3/40, -19/40, 0] 0.20%\n", + " [1/40, 0, 0] 0.17%\n", + " [-1/40, 0, 0] 0.17%\n", + " [-3/8, 17/40, 0] 0.17%\n", + " [3/8, -17/40, 0] 0.17%\n", + " [7/40, -3/40, 0] 0.17%\n", + " [-7/40, 3/40, 0] 0.17%\n", + " [-1/40, 1/40, 0] 0.17%\n", + " [1/40, -1/40, 0] 0.17%\n", + " [1/4, 3/20, 0] 0.17%\n", " ... ...\n" ] } @@ -1412,14 +1432,14 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 14, "id": "83d737dd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "33.405835938761655" + "15.947887834201595" ] }, "metadata": {}, diff --git a/src/SpinWaveTheory/Test_scripts/simple_AFM.jl b/src/SpinWaveTheory/Test_scripts/simple_AFM.jl index ac98df7ac..d034bd20c 100644 --- a/src/SpinWaveTheory/Test_scripts/simple_AFM.jl +++ b/src/SpinWaveTheory/Test_scripts/simple_AFM.jl @@ -113,119 +113,3 @@ end using PlotUtils #savefig("20x20x1_LSWT_0p1.png") -import Pkg -Pkg.activate("Sunny") -#Pkg.add("SparseArrays") -using Plots -using GLMakie -using Sunny -using SparseArrays -using LinearAlgebra -################################################################################ -# Model -################################################################################ -begin - a, b, c = 1.0, 2.0, 3.0 - latvecs = lattice_vectors(a, b, c, 90, 90, 90) - positions = [[0,0,0]] - cryst = Crystal(latvecs, positions) - - dims = (20,20,1) - S = 1 - sys = System(cryst, dims, [SpinInfo(1; S, g=1)], :SUN) - - J = 1.0 - D = -0.2 - h = 0 - - set_exchange!(sys, J, Bond(1, 1, [1,0,0])) - set_anisotropy!(sys, D*𝒮[3]^2, 1) - set_external_field!(sys, [0.0, 0.0, h]) - -end -################################################################################ -# Find ground state -################################################################################ -begin - Δt = 0.02 - λ = 0.1 - langevin = Langevin(Δt; kT=0, λ) - - randomize_spins!(sys) - for kT in range(5, 0, 30_000) - langevin.kT = kT - step!(sys, langevin) - end - -end -langevin.kT = 0.0 -for _ ∈ 1:20_000 - step!(sys, langevin) -end - - #plot_spins(sys) - - -################################################################################ -# Calculate SWT -################################################################################ -print_wrapped_intensities(sys) -#suggest_magnetic_supercell([[1/2, 0, 0]], sys.latsize) -#sys_swt_SUN = reshape_geometry(sys,[2 0 0; 0 1 0; 0 0 1]) -sys_swt_SUN = sys -plot_spins(sys_swt_SUN) -swt_SUN = SpinWaveTheory(sys_swt_SUN); -#= -begin - qvals = 0.001:0.05:1.0 - qs = [[q, 0, 0] for q in qvals] - lenq = length(qs) - disp_SUN = dispersion(swt_SUN, qs) - p=Plots.plot(qvals, disp_SUN[:,1], linecolor="blue", label="SUN",xlabel="[H,0,0]",ylabel="E (mev)",ylims=(0,4)) - Plots.plot!(qvals, disp_SUN[:,2], linecolor="blue", label="SUN") - Plots.plot!(qvals, disp_SUN[:,3], linecolor="blue", label="SUN") - Plots.plot!(qvals, disp_SUN[:,4], linecolor="blue", label="SUN") -end -display(p) - -@time begin - qvals = 0.0:0.005:1.0 - qs = [(q, 0, 0) for q in qvals] - energies = 0.0:0.01:4.25 - is = Sunny.intensities(swt_SUN, qs, energies, 0.1) - Plots.heatmap(qvals, energies, is'; clims=(0.0, 10), xlabel="[H,0,0]",ylabel="E (mev)") -end -=# - -##################################### -# Old code without general Kernel -#= -@time begin - qvals = 0.:0.005:1.0 - qs = [(q, 0, 0) for q in qvals] - energies = 0.0:0.01:4.25 - is = Sunny.KPMintensities(swt_SUN, qs, energies, 200) - p=Plots.heatmap(qvals, energies, is'; clims=(0.0, 10), xlabel="[H,0,0]",ylabel="E (mev)") -end -=# - -M = 200 -kT = 0.5 * Sunny.meV_per_K -σ=0.1 -function lorentzian(ω, x, σ) - return (1/π) * (σ / ((x - ω)^2 + σ^2)) -end - -@time begin - qvals = 0.:0.005:1.0 - qs = [(q, 0, 0) for q in qvals] - energies = 0.0:0.01:4.25 - is = Sunny.KPMintensities(swt_SUN, qs, energies, M,kT,σ,lorentzian) - p=Plots.heatmap(qvals, energies, is'; clims=(0.0, 10), xlabel="[H,0,0]",ylabel="E (mev)") -end - - -using PlotUtils -#savefig("20x20x1_LSWT_0p1.png") - -Plots.plot(energies,is[101,:],xlabel="E (meV)", ylabel = "Intensity",xlims=(0,1),title = "Cut at [0.5,0,0]",legend = false) \ No newline at end of file