Properties

Label 546.2.bu.b.71.6
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.6
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(1.13690 - 1.30670i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.58301 + 1.58301i) q^{5} +(-0.759962 + 1.55642i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-0.414918 - 2.97117i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(1.13690 - 1.30670i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.58301 + 1.58301i) q^{5} +(-0.759962 + 1.55642i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-0.414918 - 2.97117i) q^{9} +(-1.93879 - 1.11936i) q^{10} +(1.28804 + 4.80702i) q^{11} +(0.331235 - 1.70008i) q^{12} +(0.738744 + 3.52906i) q^{13} -1.00000i q^{14} +(3.86825 - 0.268793i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.25294 + 2.17015i) q^{17} +(1.16978 + 2.76254i) q^{18} +(1.54049 + 0.412774i) q^{19} +(2.16244 + 0.579424i) q^{20} +(0.967922 + 1.43636i) q^{21} +(-2.48830 - 4.30986i) q^{22} +(-0.566768 + 0.981671i) q^{23} +(0.120065 + 1.72788i) q^{24} +0.0118705i q^{25} +(-1.62696 - 3.21761i) q^{26} +(-4.35414 - 2.83575i) q^{27} +(0.258819 + 0.965926i) q^{28} +(-5.50981 - 3.18109i) q^{29} +(-3.66687 + 1.26081i) q^{30} +(1.36926 - 1.36926i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(7.74569 + 3.78202i) q^{33} +(-1.77192 - 1.77192i) q^{34} +(-1.93879 + 1.11936i) q^{35} +(-1.84491 - 2.36565i) q^{36} +(1.84621 - 0.494691i) q^{37} -1.59484 q^{38} +(5.45129 + 3.04687i) q^{39} -2.23872 q^{40} +(-3.36855 + 0.902600i) q^{41} +(-1.30670 - 1.13690i) q^{42} +(6.80079 - 3.92644i) q^{43} +(3.51898 + 3.51898i) q^{44} +(4.04658 - 5.36023i) q^{45} +(0.293381 - 1.09491i) q^{46} +(8.51745 - 8.51745i) q^{47} +(-0.563184 - 1.63793i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(-0.00307230 - 0.0114660i) q^{50} +(4.26020 + 0.830035i) q^{51} +(2.40430 + 2.68688i) q^{52} +1.61436i q^{53} +(4.93972 + 1.61219i) q^{54} +(-5.57060 + 9.64856i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(2.29076 - 1.54368i) q^{57} +(6.14540 + 1.64665i) q^{58} +(-5.35382 - 1.43455i) q^{59} +(3.21561 - 2.16691i) q^{60} +(1.56891 + 2.71743i) q^{61} +(-0.968212 + 1.67699i) q^{62} +(2.97732 + 0.368215i) q^{63} -1.00000i q^{64} +(-4.41711 + 6.75599i) q^{65} +(-8.46062 - 1.64842i) q^{66} +(-3.18853 - 11.8997i) q^{67} +(2.17015 + 1.25294i) q^{68} +(0.638389 + 1.85666i) q^{69} +(1.58301 - 1.58301i) q^{70} +(-0.709782 + 2.64894i) q^{71} +(2.39433 + 1.80754i) q^{72} +(8.64213 + 8.64213i) q^{73} +(-1.65527 + 0.955670i) q^{74} +(0.0155111 + 0.0134955i) q^{75} +(1.54049 - 0.412774i) q^{76} -4.97659 q^{77} +(-6.05413 - 1.53215i) q^{78} +17.5434 q^{79} +(2.16244 - 0.579424i) q^{80} +(-8.65569 + 2.46559i) q^{81} +(3.02016 - 1.74369i) q^{82} +(-4.87907 - 4.87907i) q^{83} +(1.55642 + 0.759962i) q^{84} +(-1.45197 + 5.41881i) q^{85} +(-5.55282 + 5.55282i) q^{86} +(-10.4208 + 3.58308i) q^{87} +(-4.30986 - 2.48830i) q^{88} +(1.28335 + 4.78954i) q^{89} +(-2.52137 + 6.22491i) q^{90} +(-3.60001 - 0.199816i) q^{91} +1.13354i q^{92} +(-0.232498 - 3.34592i) q^{93} +(-6.02275 + 10.4317i) q^{94} +(1.78520 + 3.09205i) q^{95} +(0.967922 + 1.43636i) q^{96} +(-15.8815 - 4.25543i) q^{97} +(0.965926 + 0.258819i) q^{98} +(13.7480 - 5.82150i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) 1.13690 1.30670i 0.656389 0.754422i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 1.58301 + 1.58301i 0.707946 + 0.707946i 0.966103 0.258157i \(-0.0831153\pi\)
−0.258157 + 0.966103i \(0.583115\pi\)
\(6\) −0.759962 + 1.55642i −0.310253 + 0.635408i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −0.414918 2.97117i −0.138306 0.990390i
\(10\) −1.93879 1.11936i −0.613099 0.353973i
\(11\) 1.28804 + 4.80702i 0.388358 + 1.44937i 0.832805 + 0.553566i \(0.186733\pi\)
−0.444447 + 0.895805i \(0.646600\pi\)
\(12\) 0.331235 1.70008i 0.0956193 0.490772i
\(13\) 0.738744 + 3.52906i 0.204891 + 0.978785i
\(14\) 1.00000i 0.267261i
\(15\) 3.86825 0.268793i 0.998778 0.0694021i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 1.25294 + 2.17015i 0.303882 + 0.526340i 0.977012 0.213185i \(-0.0683837\pi\)
−0.673129 + 0.739525i \(0.735050\pi\)
\(18\) 1.16978 + 2.76254i 0.275719 + 0.651137i
\(19\) 1.54049 + 0.412774i 0.353414 + 0.0946969i 0.431158 0.902276i \(-0.358105\pi\)
−0.0777444 + 0.996973i \(0.524772\pi\)
\(20\) 2.16244 + 0.579424i 0.483536 + 0.129563i
\(21\) 0.967922 + 1.43636i 0.211218 + 0.313439i
\(22\) −2.48830 4.30986i −0.530507 0.918864i
\(23\) −0.566768 + 0.981671i −0.118179 + 0.204692i −0.919046 0.394150i \(-0.871039\pi\)
0.800867 + 0.598842i \(0.204372\pi\)
\(24\) 0.120065 + 1.72788i 0.0245083 + 0.352703i
\(25\) 0.0118705i 0.00237409i
\(26\) −1.62696 3.21761i −0.319073 0.631025i
\(27\) −4.35414 2.83575i −0.837955 0.545740i
\(28\) 0.258819 + 0.965926i 0.0489122 + 0.182543i
\(29\) −5.50981 3.18109i −1.02315 0.590714i −0.108133 0.994136i \(-0.534487\pi\)
−0.915014 + 0.403422i \(0.867821\pi\)
\(30\) −3.66687 + 1.26081i −0.669477 + 0.230192i
\(31\) 1.36926 1.36926i 0.245926 0.245926i −0.573370 0.819296i \(-0.694364\pi\)
0.819296 + 0.573370i \(0.194364\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) 7.74569 + 3.78202i 1.34835 + 0.658366i
\(34\) −1.77192 1.77192i −0.303882 0.303882i
\(35\) −1.93879 + 1.11936i −0.327715 + 0.189206i
\(36\) −1.84491 2.36565i −0.307486 0.394275i
\(37\) 1.84621 0.494691i 0.303515 0.0813267i −0.103847 0.994593i \(-0.533115\pi\)
0.407362 + 0.913267i \(0.366449\pi\)
\(38\) −1.59484 −0.258717
\(39\) 5.45129 + 3.04687i 0.872905 + 0.487890i
\(40\) −2.23872 −0.353973
\(41\) −3.36855 + 0.902600i −0.526079 + 0.140963i −0.512077 0.858939i \(-0.671124\pi\)
−0.0140021 + 0.999902i \(0.504457\pi\)
\(42\) −1.30670 1.13690i −0.201628 0.175427i
\(43\) 6.80079 3.92644i 1.03711 0.598776i 0.118097 0.993002i \(-0.462320\pi\)
0.919014 + 0.394226i \(0.128987\pi\)
\(44\) 3.51898 + 3.51898i 0.530507 + 0.530507i
\(45\) 4.04658 5.36023i 0.603229 0.799055i
\(46\) 0.293381 1.09491i 0.0432566 0.161436i
\(47\) 8.51745 8.51745i 1.24240 1.24240i 0.283394 0.959003i \(-0.408540\pi\)
0.959003 0.283394i \(-0.0914605\pi\)
\(48\) −0.563184 1.63793i −0.0812886 0.236415i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) −0.00307230 0.0114660i −0.000434489 0.00162153i
\(51\) 4.26020 + 0.830035i 0.596548 + 0.116228i
\(52\) 2.40430 + 2.68688i 0.333416 + 0.372604i
\(53\) 1.61436i 0.221750i 0.993834 + 0.110875i \(0.0353653\pi\)
−0.993834 + 0.110875i \(0.964635\pi\)
\(54\) 4.93972 + 1.61219i 0.672211 + 0.219391i
\(55\) −5.57060 + 9.64856i −0.751140 + 1.30101i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) 2.29076 1.54368i 0.303418 0.204465i
\(58\) 6.14540 + 1.64665i 0.806931 + 0.216216i
\(59\) −5.35382 1.43455i −0.697007 0.186763i −0.107118 0.994246i \(-0.534162\pi\)
−0.589890 + 0.807484i \(0.700829\pi\)
\(60\) 3.21561 2.16691i 0.415133 0.279746i
\(61\) 1.56891 + 2.71743i 0.200878 + 0.347931i 0.948812 0.315843i \(-0.102287\pi\)
−0.747934 + 0.663774i \(0.768954\pi\)
\(62\) −0.968212 + 1.67699i −0.122963 + 0.212978i
\(63\) 2.97732 + 0.368215i 0.375107 + 0.0463907i
\(64\) 1.00000i 0.125000i
\(65\) −4.41711 + 6.75599i −0.547875 + 0.837978i
\(66\) −8.46062 1.64842i −1.04143 0.202907i
\(67\) −3.18853 11.8997i −0.389540 1.45378i −0.830884 0.556446i \(-0.812165\pi\)
0.441343 0.897338i \(-0.354502\pi\)
\(68\) 2.17015 + 1.25294i 0.263170 + 0.151941i
\(69\) 0.638389 + 1.85666i 0.0768530 + 0.223515i
\(70\) 1.58301 1.58301i 0.189206 0.189206i
\(71\) −0.709782 + 2.64894i −0.0842357 + 0.314372i −0.995168 0.0981832i \(-0.968697\pi\)
0.910933 + 0.412555i \(0.135364\pi\)
\(72\) 2.39433 + 1.80754i 0.282174 + 0.213021i
\(73\) 8.64213 + 8.64213i 1.01148 + 1.01148i 0.999933 + 0.0115511i \(0.00367692\pi\)
0.0115511 + 0.999933i \(0.496323\pi\)
\(74\) −1.65527 + 0.955670i −0.192421 + 0.111094i
\(75\) 0.0155111 + 0.0134955i 0.00179107 + 0.00155833i
\(76\) 1.54049 0.412774i 0.176707 0.0473485i
\(77\) −4.97659 −0.567135
\(78\) −6.05413 1.53215i −0.685495 0.173482i
\(79\) 17.5434 1.97379 0.986894 0.161370i \(-0.0515912\pi\)
0.986894 + 0.161370i \(0.0515912\pi\)
\(80\) 2.16244 0.579424i 0.241768 0.0647815i
\(81\) −8.65569 + 2.46559i −0.961743 + 0.273954i
\(82\) 3.02016 1.74369i 0.333521 0.192558i
\(83\) −4.87907 4.87907i −0.535547 0.535547i 0.386671 0.922218i \(-0.373625\pi\)
−0.922218 + 0.386671i \(0.873625\pi\)
\(84\) 1.55642 + 0.759962i 0.169820 + 0.0829187i
\(85\) −1.45197 + 5.41881i −0.157488 + 0.587752i
\(86\) −5.55282 + 5.55282i −0.598776 + 0.598776i
\(87\) −10.4208 + 3.58308i −1.11723 + 0.384146i
\(88\) −4.30986 2.48830i −0.459432 0.265253i
\(89\) 1.28335 + 4.78954i 0.136035 + 0.507690i 0.999991 + 0.00412321i \(0.00131246\pi\)
−0.863956 + 0.503567i \(0.832021\pi\)
\(90\) −2.52137 + 6.22491i −0.265776 + 0.656163i
\(91\) −3.60001 0.199816i −0.377384 0.0209464i
\(92\) 1.13354i 0.118179i
\(93\) −0.232498 3.34592i −0.0241089 0.346956i
\(94\) −6.02275 + 10.4317i −0.621199 + 1.07595i
\(95\) 1.78520 + 3.09205i 0.183157 + 0.317238i
\(96\) 0.967922 + 1.43636i 0.0987881 + 0.146598i
\(97\) −15.8815 4.25543i −1.61252 0.432073i −0.663727 0.747975i \(-0.731026\pi\)
−0.948792 + 0.315902i \(0.897693\pi\)
\(98\) 0.965926 + 0.258819i 0.0975732 + 0.0261447i
\(99\) 13.7480 5.82150i 1.38173 0.585082i
\(100\) 0.00593523 + 0.0102801i 0.000593523 + 0.00102801i
\(101\) −2.68778 + 4.65537i −0.267444 + 0.463226i −0.968201 0.250174i \(-0.919512\pi\)
0.700757 + 0.713400i \(0.252846\pi\)
\(102\) −4.32987 + 0.300869i −0.428721 + 0.0297905i
\(103\) 10.5077i 1.03535i −0.855577 0.517676i \(-0.826797\pi\)
0.855577 0.517676i \(-0.173203\pi\)
\(104\) −3.01779 1.97305i −0.295919 0.193474i
\(105\) −0.741543 + 3.80601i −0.0723672 + 0.371429i
\(106\) −0.417828 1.55936i −0.0405831 0.151458i
\(107\) −14.0696 8.12308i −1.36016 0.785288i −0.370514 0.928827i \(-0.620818\pi\)
−0.989645 + 0.143539i \(0.954152\pi\)
\(108\) −5.18867 0.278759i −0.499280 0.0268236i
\(109\) −8.50467 + 8.50467i −0.814600 + 0.814600i −0.985320 0.170720i \(-0.945391\pi\)
0.170720 + 0.985320i \(0.445391\pi\)
\(110\) 2.88356 10.7616i 0.274936 1.02608i
\(111\) 1.45255 2.97486i 0.137870 0.282361i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) 0.529726 0.305837i 0.0498324 0.0287707i −0.474877 0.880052i \(-0.657507\pi\)
0.524709 + 0.851282i \(0.324174\pi\)
\(114\) −1.81317 + 2.08397i −0.169819 + 0.195182i
\(115\) −2.45120 + 0.656797i −0.228576 + 0.0612467i
\(116\) −6.36219 −0.590714
\(117\) 10.1789 3.65920i 0.941041 0.338294i
\(118\) 5.54268 0.510245
\(119\) −2.42049 + 0.648569i −0.221886 + 0.0594542i
\(120\) −2.54520 + 2.92533i −0.232344 + 0.267045i
\(121\) −11.9221 + 6.88324i −1.08383 + 0.625749i
\(122\) −2.21877 2.21877i −0.200878 0.200878i
\(123\) −2.65028 + 5.42784i −0.238968 + 0.489412i
\(124\) 0.501184 1.87044i 0.0450076 0.167971i
\(125\) 7.89628 7.89628i 0.706265 0.706265i
\(126\) −2.97117 + 0.414918i −0.264693 + 0.0369639i
\(127\) 3.09276 + 1.78561i 0.274438 + 0.158447i 0.630903 0.775862i \(-0.282685\pi\)
−0.356465 + 0.934309i \(0.616018\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) 2.60115 13.3505i 0.229018 1.17545i
\(130\) 2.51802 7.66902i 0.220845 0.672618i
\(131\) 21.9639i 1.91899i −0.281722 0.959496i \(-0.590906\pi\)
0.281722 0.959496i \(-0.409094\pi\)
\(132\) 8.59898 0.597517i 0.748445 0.0520072i
\(133\) −0.797419 + 1.38117i −0.0691450 + 0.119763i
\(134\) 6.15976 + 10.6690i 0.532122 + 0.921662i
\(135\) −2.40364 11.3817i −0.206872 0.979581i
\(136\) −2.42049 0.648569i −0.207556 0.0556143i
\(137\) 3.85986 + 1.03425i 0.329770 + 0.0883616i 0.419905 0.907568i \(-0.362063\pi\)
−0.0901352 + 0.995930i \(0.528730\pi\)
\(138\) −1.09717 1.62816i −0.0933976 0.138599i
\(139\) −5.62224 9.73800i −0.476872 0.825966i 0.522777 0.852470i \(-0.324896\pi\)
−0.999649 + 0.0265031i \(0.991563\pi\)
\(140\) −1.11936 + 1.93879i −0.0946032 + 0.163858i
\(141\) −1.44625 20.8132i −0.121796 1.75279i
\(142\) 2.74239i 0.230136i
\(143\) −16.0127 + 8.09671i −1.33905 + 0.677081i
\(144\) −2.78057 1.12625i −0.231714 0.0938545i
\(145\) −3.68640 13.7578i −0.306139 1.14253i
\(146\) −10.5844 6.11091i −0.875971 0.505742i
\(147\) −1.63793 + 0.563184i −0.135094 + 0.0464506i
\(148\) 1.35152 1.35152i 0.111094 0.111094i
\(149\) 1.48620 5.54659i 0.121755 0.454394i −0.877949 0.478755i \(-0.841088\pi\)
0.999703 + 0.0243606i \(0.00775498\pi\)
\(150\) −0.0184755 0.00902110i −0.00150852 0.000736570i
\(151\) 4.76868 + 4.76868i 0.388070 + 0.388070i 0.873998 0.485929i \(-0.161519\pi\)
−0.485929 + 0.873998i \(0.661519\pi\)
\(152\) −1.38117 + 0.797419i −0.112028 + 0.0646792i
\(153\) 5.92803 4.62313i 0.479253 0.373758i
\(154\) 4.80702 1.28804i 0.387361 0.103793i
\(155\) 4.33511 0.348205
\(156\) 6.24439 0.0869777i 0.499952 0.00696379i
\(157\) −3.72232 −0.297074 −0.148537 0.988907i \(-0.547456\pi\)
−0.148537 + 0.988907i \(0.547456\pi\)
\(158\) −16.9456 + 4.54057i −1.34812 + 0.361228i
\(159\) 2.10949 + 1.83537i 0.167293 + 0.145554i
\(160\) −1.93879 + 1.11936i −0.153275 + 0.0884932i
\(161\) −0.801531 0.801531i −0.0631695 0.0631695i
\(162\) 7.72261 4.62183i 0.606746 0.363125i
\(163\) −0.0370686 + 0.138342i −0.00290343 + 0.0108358i −0.967362 0.253397i \(-0.918452\pi\)
0.964459 + 0.264233i \(0.0851187\pi\)
\(164\) −2.46595 + 2.46595i −0.192558 + 0.192558i
\(165\) 6.27454 + 18.2485i 0.488473 + 1.42065i
\(166\) 5.97561 + 3.45002i 0.463798 + 0.267774i
\(167\) 0.947784 + 3.53718i 0.0733418 + 0.273715i 0.992852 0.119350i \(-0.0380812\pi\)
−0.919510 + 0.393066i \(0.871415\pi\)
\(168\) −1.70008 0.331235i −0.131164 0.0255553i
\(169\) −11.9085 + 5.21414i −0.916040 + 0.401088i
\(170\) 5.60996i 0.430264i
\(171\) 0.587242 4.74834i 0.0449075 0.363114i
\(172\) 3.92644 6.80079i 0.299388 0.518556i
\(173\) −5.32718 9.22695i −0.405018 0.701512i 0.589306 0.807910i \(-0.299401\pi\)
−0.994324 + 0.106399i \(0.966068\pi\)
\(174\) 9.13838 6.15810i 0.692779 0.466844i
\(175\) −0.0114660 0.00307230i −0.000866747 0.000232244i
\(176\) 4.80702 + 1.28804i 0.362343 + 0.0970894i
\(177\) −7.96128 + 5.36488i −0.598406 + 0.403249i
\(178\) −2.47925 4.29418i −0.185827 0.321862i
\(179\) −5.67227 + 9.82466i −0.423966 + 0.734330i −0.996323 0.0856742i \(-0.972696\pi\)
0.572358 + 0.820004i \(0.306029\pi\)
\(180\) 0.824330 6.66538i 0.0614419 0.496808i
\(181\) 21.0789i 1.56678i 0.621528 + 0.783392i \(0.286512\pi\)
−0.621528 + 0.783392i \(0.713488\pi\)
\(182\) 3.52906 0.738744i 0.261591 0.0547593i
\(183\) 5.33455 + 1.03935i 0.394341 + 0.0768313i
\(184\) −0.293381 1.09491i −0.0216283 0.0807179i
\(185\) 3.70568 + 2.13948i 0.272447 + 0.157298i
\(186\) 1.09056 + 3.17173i 0.0799639 + 0.232563i
\(187\) −8.81814 + 8.81814i −0.644847 + 0.644847i
\(188\) 3.11760 11.6351i 0.227375 0.848573i
\(189\) 3.86606 3.47183i 0.281214 0.252539i
\(190\) −2.52465 2.52465i −0.183157 0.183157i
\(191\) −12.3423 + 7.12581i −0.893055 + 0.515606i −0.874941 0.484230i \(-0.839100\pi\)
−0.0181148 + 0.999836i \(0.505766\pi\)
\(192\) −1.30670 1.13690i −0.0943028 0.0820487i
\(193\) −23.8028 + 6.37795i −1.71337 + 0.459095i −0.976246 0.216667i \(-0.930482\pi\)
−0.737120 + 0.675762i \(0.763815\pi\)
\(194\) 16.4417 1.18045
\(195\) 3.80623 + 13.4527i 0.272570 + 0.963369i
\(196\) −1.00000 −0.0714286
\(197\) 12.8235 3.43606i 0.913639 0.244809i 0.228775 0.973479i \(-0.426528\pi\)
0.684865 + 0.728670i \(0.259861\pi\)
\(198\) −11.7729 + 9.18139i −0.836661 + 0.652493i
\(199\) 10.9034 6.29510i 0.772924 0.446248i −0.0609926 0.998138i \(-0.519427\pi\)
0.833917 + 0.551890i \(0.186093\pi\)
\(200\) −0.00839368 0.00839368i −0.000593523 0.000593523i
\(201\) −19.1744 9.36237i −1.35246 0.660371i
\(202\) 1.39130 5.19239i 0.0978912 0.365335i
\(203\) 4.49875 4.49875i 0.315750 0.315750i
\(204\) 4.10446 1.41127i 0.287370 0.0988087i
\(205\) −6.76130 3.90364i −0.472229 0.272642i
\(206\) 2.71958 + 10.1496i 0.189482 + 0.707158i
\(207\) 3.15187 + 1.27665i 0.219070 + 0.0887333i
\(208\) 3.42563 + 1.12476i 0.237524 + 0.0779880i
\(209\) 7.93686i 0.549004i
\(210\) −0.268793 3.86825i −0.0185485 0.266935i
\(211\) −13.5521 + 23.4730i −0.932967 + 1.61595i −0.154748 + 0.987954i \(0.549456\pi\)
−0.778219 + 0.627992i \(0.783877\pi\)
\(212\) 0.807182 + 1.39808i 0.0554375 + 0.0960205i
\(213\) 2.65442 + 3.93905i 0.181878 + 0.269900i
\(214\) 15.6926 + 4.20482i 1.07272 + 0.287435i
\(215\) 16.9814 + 4.55014i 1.15812 + 0.310317i
\(216\) 5.08402 1.07367i 0.345924 0.0730537i
\(217\) 0.968212 + 1.67699i 0.0657265 + 0.113842i
\(218\) 6.01371 10.4161i 0.407300 0.705464i
\(219\) 21.1179 1.46742i 1.42701 0.0991589i
\(220\) 11.1412i 0.751140i
\(221\) −6.73300 + 6.02488i −0.452911 + 0.405278i
\(222\) −0.633103 + 3.24944i −0.0424911 + 0.218088i
\(223\) −2.15953 8.05949i −0.144613 0.539704i −0.999772 0.0213380i \(-0.993207\pi\)
0.855159 0.518365i \(-0.173459\pi\)
\(224\) −0.866025 0.500000i −0.0578638 0.0334077i
\(225\) 0.0352691 0.00492527i 0.00235127 0.000328351i
\(226\) −0.432519 + 0.432519i −0.0287707 + 0.0287707i
\(227\) 3.42193 12.7708i 0.227121 0.847628i −0.754422 0.656389i \(-0.772083\pi\)
0.981544 0.191239i \(-0.0612504\pi\)
\(228\) 1.21202 2.48224i 0.0802677 0.164391i
\(229\) −16.1525 16.1525i −1.06739 1.06739i −0.997559 0.0698266i \(-0.977755\pi\)
−0.0698266 0.997559i \(-0.522245\pi\)
\(230\) 2.19769 1.26883i 0.144911 0.0836645i
\(231\) −5.65789 + 6.50290i −0.372262 + 0.427860i
\(232\) 6.14540 1.64665i 0.403465 0.108108i
\(233\) 2.62536 0.171993 0.0859967 0.996295i \(-0.472593\pi\)
0.0859967 + 0.996295i \(0.472593\pi\)
\(234\) −8.88500 + 6.16902i −0.580831 + 0.403281i
\(235\) 26.9665 1.75910
\(236\) −5.35382 + 1.43455i −0.348504 + 0.0933813i
\(237\) 19.9451 22.9239i 1.29557 1.48907i
\(238\) 2.17015 1.25294i 0.140670 0.0812160i
\(239\) 19.2179 + 19.2179i 1.24310 + 1.24310i 0.958708 + 0.284393i \(0.0917920\pi\)
0.284393 + 0.958708i \(0.408208\pi\)
\(240\) 1.70134 3.48440i 0.109821 0.224917i
\(241\) 2.64967 9.88872i 0.170681 0.636988i −0.826567 0.562839i \(-0.809709\pi\)
0.997247 0.0741495i \(-0.0236242\pi\)
\(242\) 9.73437 9.73437i 0.625749 0.625749i
\(243\) −6.61887 + 14.1135i −0.424601 + 0.905381i
\(244\) 2.71743 + 1.56891i 0.173965 + 0.100439i
\(245\) −0.579424 2.16244i −0.0370180 0.138153i
\(246\) 1.15514 5.92884i 0.0736492 0.378009i
\(247\) −0.318674 + 5.74143i −0.0202768 + 0.365318i
\(248\) 1.93642i 0.122963i
\(249\) −11.9225 + 0.828457i −0.755556 + 0.0525013i
\(250\) −5.58351 + 9.67093i −0.353132 + 0.611643i
\(251\) 10.0300 + 17.3724i 0.633087 + 1.09654i 0.986917 + 0.161229i \(0.0515457\pi\)
−0.353830 + 0.935310i \(0.615121\pi\)
\(252\) 2.76254 1.16978i 0.174024 0.0736889i
\(253\) −5.44893 1.46004i −0.342571 0.0917917i
\(254\) −3.44953 0.924299i −0.216443 0.0579956i
\(255\) 5.43001 + 8.05792i 0.340040 + 0.504607i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 9.14621 15.8417i 0.570525 0.988178i −0.425987 0.904729i \(-0.640073\pi\)
0.996512 0.0834485i \(-0.0265934\pi\)
\(258\) 0.942859 + 13.5689i 0.0586999 + 0.844761i
\(259\) 1.91134i 0.118765i
\(260\) −0.447333 + 8.05942i −0.0277424 + 0.499824i
\(261\) −7.16544 + 17.6905i −0.443530 + 1.09501i
\(262\) 5.68467 + 21.2155i 0.351200 + 1.31070i
\(263\) −24.5608 14.1802i −1.51449 0.874389i −0.999856 0.0169770i \(-0.994596\pi\)
−0.514630 0.857412i \(-0.672071\pi\)
\(264\) −8.15133 + 2.80274i −0.501679 + 0.172496i
\(265\) −2.55556 + 2.55556i −0.156987 + 0.156987i
\(266\) 0.412774 1.54049i 0.0253088 0.0944538i
\(267\) 7.71752 + 3.76827i 0.472304 + 0.230614i
\(268\) −8.71121 8.71121i −0.532122 0.532122i
\(269\) −7.67274 + 4.42986i −0.467815 + 0.270093i −0.715325 0.698792i \(-0.753721\pi\)
0.247510 + 0.968885i \(0.420388\pi\)
\(270\) 5.26754 + 10.3718i 0.320572 + 0.631206i
\(271\) 20.9937 5.62524i 1.27527 0.341709i 0.443225 0.896410i \(-0.353834\pi\)
0.832049 + 0.554701i \(0.187168\pi\)
\(272\) 2.50588 0.151941
\(273\) −4.35395 + 4.47695i −0.263513 + 0.270958i
\(274\) −3.99602 −0.241408
\(275\) −0.0570615 + 0.0152896i −0.00344094 + 0.000921997i
\(276\) 1.48119 + 1.28872i 0.0891571 + 0.0775716i
\(277\) −5.24317 + 3.02715i −0.315032 + 0.181884i −0.649176 0.760638i \(-0.724886\pi\)
0.334144 + 0.942522i \(0.391553\pi\)
\(278\) 7.95104 + 7.95104i 0.476872 + 0.476872i
\(279\) −4.63643 3.50017i −0.277576 0.209550i
\(280\) 0.579424 2.16244i 0.0346272 0.129230i
\(281\) −3.97123 + 3.97123i −0.236904 + 0.236904i −0.815567 0.578663i \(-0.803575\pi\)
0.578663 + 0.815567i \(0.303575\pi\)
\(282\) 6.78383 + 19.7297i 0.403971 + 1.17489i
\(283\) 5.01459 + 2.89518i 0.298087 + 0.172100i 0.641583 0.767054i \(-0.278278\pi\)
−0.343496 + 0.939154i \(0.611611\pi\)
\(284\) 0.709782 + 2.64894i 0.0421178 + 0.157186i
\(285\) 6.06997 + 1.18264i 0.359554 + 0.0700535i
\(286\) 13.3715 11.9652i 0.790675 0.707519i
\(287\) 3.48738i 0.205854i
\(288\) 2.97732 + 0.368215i 0.175440 + 0.0216972i
\(289\) 5.36029 9.28429i 0.315311 0.546135i
\(290\) 7.12158 + 12.3349i 0.418194 + 0.724332i
\(291\) −23.6162 + 15.9143i −1.38441 + 0.932912i
\(292\) 11.8054 + 3.16324i 0.690857 + 0.185114i
\(293\) 25.7752 + 6.90644i 1.50580 + 0.403478i 0.915038 0.403367i \(-0.132160\pi\)
0.590763 + 0.806845i \(0.298827\pi\)
\(294\) 1.43636 0.967922i 0.0837702 0.0564504i
\(295\) −6.20425 10.7461i −0.361226 0.625661i
\(296\) −0.955670 + 1.65527i −0.0555472 + 0.0962105i
\(297\) 8.02320 24.5830i 0.465553 1.42645i
\(298\) 5.74225i 0.332640i
\(299\) −3.88307 1.27495i −0.224564 0.0737325i
\(300\) 0.0201808 + 0.00393191i 0.00116514 + 0.000227009i
\(301\) 2.03247 + 7.58530i 0.117150 + 0.437209i
\(302\) −5.84042 3.37197i −0.336078 0.194035i
\(303\) 3.02742 + 8.80480i 0.173921 + 0.505822i
\(304\) 1.12772 1.12772i 0.0646792 0.0646792i
\(305\) −1.81812 + 6.78533i −0.104105 + 0.388527i
\(306\) −4.52948 + 5.99989i −0.258933 + 0.342991i
\(307\) 11.6341 + 11.6341i 0.663995 + 0.663995i 0.956319 0.292324i \(-0.0944287\pi\)
−0.292324 + 0.956319i \(0.594429\pi\)
\(308\) −4.30986 + 2.48830i −0.245577 + 0.141784i
\(309\) −13.7303 11.9462i −0.781092 0.679593i
\(310\) −4.18740 + 1.12201i −0.237828 + 0.0637259i
\(311\) 32.9657 1.86931 0.934656 0.355554i \(-0.115708\pi\)
0.934656 + 0.355554i \(0.115708\pi\)
\(312\) −6.00911 + 1.70018i −0.340199 + 0.0962538i
\(313\) 0.469408 0.0265325 0.0132663 0.999912i \(-0.495777\pi\)
0.0132663 + 0.999912i \(0.495777\pi\)
\(314\) 3.59549 0.963408i 0.202905 0.0543682i
\(315\) 4.13025 + 5.29603i 0.232713 + 0.298397i
\(316\) 15.1930 8.77171i 0.854675 0.493447i
\(317\) 8.07451 + 8.07451i 0.453510 + 0.453510i 0.896518 0.443008i \(-0.146089\pi\)
−0.443008 + 0.896518i \(0.646089\pi\)
\(318\) −2.51264 1.22686i −0.140902 0.0687987i
\(319\) 8.19473 30.5832i 0.458817 1.71233i
\(320\) 1.58301 1.58301i 0.0884932 0.0884932i
\(321\) −26.6101 + 9.14957i −1.48523 + 0.510679i
\(322\) 0.981671 + 0.566768i 0.0547064 + 0.0315847i
\(323\) 1.03436 + 3.86029i 0.0575535 + 0.214792i
\(324\) −6.26325 + 6.46310i −0.347958 + 0.359061i
\(325\) −0.0418915 + 0.00876922i −0.00232372 + 0.000486429i
\(326\) 0.143222i 0.00793233i
\(327\) 1.44408 + 20.7820i 0.0798577 + 1.14925i
\(328\) 1.74369 3.02016i 0.0962792 0.166760i
\(329\) 6.02275 + 10.4317i 0.332045 + 0.575118i
\(330\) −10.7838 16.0028i −0.593629 0.880923i
\(331\) −14.9180 3.99725i −0.819965 0.219709i −0.175634 0.984456i \(-0.556198\pi\)
−0.644331 + 0.764747i \(0.722864\pi\)
\(332\) −6.66493 1.78586i −0.365786 0.0980120i
\(333\) −2.23584 5.28015i −0.122523 0.289350i
\(334\) −1.83098 3.17135i −0.100187 0.173528i
\(335\) 13.7900 23.8849i 0.753427 1.30497i
\(336\) 1.72788 0.120065i 0.0942638 0.00655011i
\(337\) 21.9719i 1.19688i −0.801166 0.598442i \(-0.795787\pi\)
0.801166 0.598442i \(-0.204213\pi\)
\(338\) 10.1532 8.11862i 0.552263 0.441595i
\(339\) 0.202608 1.03990i 0.0110042 0.0564795i
\(340\) 1.45197 + 5.41881i 0.0787439 + 0.293876i
\(341\) 8.34571 + 4.81840i 0.451946 + 0.260931i
\(342\) 0.661727 + 4.73853i 0.0357821 + 0.256230i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) −2.03247 + 7.58530i −0.109584 + 0.408972i
\(345\) −1.92853 + 3.94969i −0.103829 + 0.212644i
\(346\) 7.53377 + 7.53377i 0.405018 + 0.405018i
\(347\) 23.4175 13.5201i 1.25712 0.725798i 0.284606 0.958645i \(-0.408137\pi\)
0.972514 + 0.232846i \(0.0748038\pi\)
\(348\) −7.23317 + 8.31346i −0.387738 + 0.445648i
\(349\) 10.1686 2.72467i 0.544313 0.145848i 0.0238236 0.999716i \(-0.492416\pi\)
0.520490 + 0.853868i \(0.325749\pi\)
\(350\) 0.0118705 0.000634503
\(351\) 6.79093 17.4609i 0.362473 0.931994i
\(352\) −4.97659 −0.265253
\(353\) −24.4009 + 6.53820i −1.29873 + 0.347993i −0.840969 0.541083i \(-0.818015\pi\)
−0.457759 + 0.889076i \(0.651348\pi\)
\(354\) 6.30147 7.24261i 0.334919 0.384940i
\(355\) −5.31691 + 3.06972i −0.282192 + 0.162924i
\(356\) 3.50618 + 3.50618i 0.185827 + 0.185827i
\(357\) −1.90437 + 3.90021i −0.100790 + 0.206421i
\(358\) 2.93618 10.9580i 0.155182 0.579148i
\(359\) −10.0644 + 10.0644i −0.531180 + 0.531180i −0.920923 0.389744i \(-0.872564\pi\)
0.389744 + 0.920923i \(0.372564\pi\)
\(360\) 0.928887 + 6.65162i 0.0489566 + 0.350571i
\(361\) −14.2517 8.22825i −0.750092 0.433066i
\(362\) −5.45563 20.3607i −0.286741 1.07013i
\(363\) −4.55994 + 23.4042i −0.239335 + 1.22840i
\(364\) −3.21761 + 1.62696i −0.168649 + 0.0852758i
\(365\) 27.3612i 1.43215i
\(366\) −5.42178 + 0.376743i −0.283401 + 0.0196927i
\(367\) 10.9933 19.0409i 0.573845 0.993929i −0.422321 0.906446i \(-0.638784\pi\)
0.996166 0.0874825i \(-0.0278822\pi\)
\(368\) 0.566768 + 0.981671i 0.0295448 + 0.0511731i
\(369\) 4.07945 + 9.63403i 0.212368 + 0.501527i
\(370\) −4.13315 1.10747i −0.214872 0.0575749i
\(371\) −1.55936 0.417828i −0.0809577 0.0216926i
\(372\) −1.87431 2.78140i −0.0971783 0.144209i
\(373\) 4.13080 + 7.15475i 0.213885 + 0.370459i 0.952927 0.303200i \(-0.0980550\pi\)
−0.739042 + 0.673659i \(0.764722\pi\)
\(374\) 6.23537 10.8000i 0.322423 0.558453i
\(375\) −1.34077 19.2953i −0.0692373 0.996407i
\(376\) 12.0455i 0.621199i
\(377\) 7.15592 21.7945i 0.368549 1.12247i
\(378\) −2.83575 + 4.35414i −0.145855 + 0.223953i
\(379\) 7.14022 + 26.6477i 0.366769 + 1.36880i 0.865007 + 0.501759i \(0.167314\pi\)
−0.498239 + 0.867040i \(0.666020\pi\)
\(380\) 3.09205 + 1.78520i 0.158619 + 0.0915787i
\(381\) 5.84941 2.01125i 0.299674 0.103039i
\(382\) 10.0774 10.0774i 0.515606 0.515606i
\(383\) 8.42594 31.4460i 0.430545 1.60682i −0.320962 0.947092i \(-0.604006\pi\)
0.751507 0.659725i \(-0.229327\pi\)
\(384\) 1.55642 + 0.759962i 0.0794260 + 0.0387817i
\(385\) −7.87802 7.87802i −0.401501 0.401501i
\(386\) 21.3410 12.3213i 1.08623 0.627135i
\(387\) −14.4879 18.5771i −0.736461 0.944329i
\(388\) −15.8815 + 4.25543i −0.806260 + 0.216037i
\(389\) −8.73060 −0.442659 −0.221330 0.975199i \(-0.571040\pi\)
−0.221330 + 0.975199i \(0.571040\pi\)
\(390\) −7.15836 12.0092i −0.362477 0.608109i
\(391\) −2.84050 −0.143650
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) −28.7001 24.9707i −1.44773 1.25961i
\(394\) −11.4973 + 6.63795i −0.579224 + 0.334415i
\(395\) 27.7715 + 27.7715i 1.39733 + 1.39733i
\(396\) 8.99540 11.9156i 0.452036 0.598781i
\(397\) −0.479393 + 1.78912i −0.0240600 + 0.0897933i −0.976912 0.213643i \(-0.931467\pi\)
0.952852 + 0.303436i \(0.0981338\pi\)
\(398\) −8.90262 + 8.90262i −0.446248 + 0.446248i
\(399\) 0.898186 + 2.61224i 0.0449656 + 0.130775i
\(400\) 0.0102801 + 0.00593523i 0.000514006 + 0.000296761i
\(401\) 4.16963 + 15.5613i 0.208221 + 0.777093i 0.988443 + 0.151590i \(0.0484394\pi\)
−0.780222 + 0.625503i \(0.784894\pi\)
\(402\) 20.9442 + 4.08066i 1.04460 + 0.203525i
\(403\) 5.84373 + 3.82066i 0.291097 + 0.190321i
\(404\) 5.37555i 0.267444i
\(405\) −17.6051 9.79902i −0.874806 0.486917i
\(406\) −3.18109 + 5.50981i −0.157875 + 0.273448i
\(407\) 4.75598 + 8.23760i 0.235745 + 0.408323i
\(408\) −3.59934 + 2.42549i −0.178194 + 0.120080i
\(409\) −4.38075 1.17382i −0.216614 0.0580416i 0.148880 0.988855i \(-0.452433\pi\)
−0.365494 + 0.930814i \(0.619100\pi\)
\(410\) 7.54124 + 2.02067i 0.372436 + 0.0997938i
\(411\) 5.73972 3.86784i 0.283120 0.190786i
\(412\) −5.25383 9.09991i −0.258838 0.448320i
\(413\) 2.77134 4.80010i 0.136369 0.236197i
\(414\) −3.37489 0.417384i −0.165867 0.0205133i
\(415\) 15.4473i 0.758277i
\(416\) −3.60001 0.199816i −0.176505 0.00979679i
\(417\) −19.1165 3.72456i −0.936141 0.182393i
\(418\) −2.05421 7.66641i −0.100475 0.374977i
\(419\) −27.3709 15.8026i −1.33716 0.772008i −0.350772 0.936461i \(-0.614081\pi\)
−0.986385 + 0.164453i \(0.947414\pi\)
\(420\) 1.26081 + 3.66687i 0.0615213 + 0.178925i
\(421\) −7.48230 + 7.48230i −0.364665 + 0.364665i −0.865527 0.500862i \(-0.833016\pi\)
0.500862 + 0.865527i \(0.333016\pi\)
\(422\) 7.01510 26.1807i 0.341490 1.27446i
\(423\) −28.8408 21.7727i −1.40229 1.05863i
\(424\) −1.14153 1.14153i −0.0554375 0.0554375i
\(425\) −0.0257607 + 0.0148730i −0.00124958 + 0.000721445i
\(426\) −3.58347 3.11782i −0.173620 0.151059i
\(427\) −3.03090 + 0.812126i −0.146675 + 0.0393015i
\(428\) −16.2462 −0.785288
\(429\) −7.62490 + 30.1289i −0.368134 + 1.45464i
\(430\) −17.5804 −0.847802
\(431\) −28.2946 + 7.58152i −1.36290 + 0.365189i −0.864882 0.501976i \(-0.832607\pi\)
−0.498021 + 0.867165i \(0.665940\pi\)
\(432\) −4.63290 + 2.35292i −0.222900 + 0.113205i
\(433\) 1.27868 0.738247i 0.0614495 0.0354779i −0.468960 0.883219i \(-0.655371\pi\)
0.530410 + 0.847741i \(0.322038\pi\)
\(434\) −1.36926 1.36926i −0.0657265 0.0657265i
\(435\) −22.1684 10.8243i −1.06289 0.518984i
\(436\) −3.11293 + 11.6176i −0.149082 + 0.556382i
\(437\) −1.27831 + 1.27831i −0.0611499 + 0.0611499i
\(438\) −20.0185 + 6.88313i −0.956521 + 0.328888i
\(439\) 4.51923 + 2.60918i 0.215691 + 0.124529i 0.603953 0.797020i \(-0.293591\pi\)
−0.388263 + 0.921549i \(0.626925\pi\)
\(440\) −2.88356 10.7616i −0.137468 0.513038i
\(441\) −1.12625 + 2.78057i −0.0536312 + 0.132408i
\(442\) 4.94423 7.56222i 0.235173 0.359698i
\(443\) 31.3186i 1.48799i −0.668184 0.743996i \(-0.732928\pi\)
0.668184 0.743996i \(-0.267072\pi\)
\(444\) −0.229486 3.30257i −0.0108909 0.156733i
\(445\) −5.55034 + 9.61347i −0.263111 + 0.455722i
\(446\) 4.17190 + 7.22594i 0.197545 + 0.342158i
\(447\) −5.55805 8.24793i −0.262887 0.390114i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) 14.3287 + 3.83936i 0.676213 + 0.181191i 0.580552 0.814223i \(-0.302837\pi\)
0.0956610 + 0.995414i \(0.469504\pi\)
\(450\) −0.0327926 + 0.0138858i −0.00154586 + 0.000654581i
\(451\) −8.67764 15.0301i −0.408614 0.707740i
\(452\) 0.305837 0.529726i 0.0143854 0.0249162i
\(453\) 11.6527 0.809714i 0.547493 0.0380437i
\(454\) 13.2213i 0.620507i
\(455\) −5.38256 6.01518i −0.252338 0.281996i
\(456\) −0.528266 + 2.71136i −0.0247383 + 0.126971i
\(457\) 9.76856 + 36.4568i 0.456954 + 1.70537i 0.682280 + 0.731091i \(0.260989\pi\)
−0.225326 + 0.974283i \(0.572345\pi\)
\(458\) 19.7827 + 11.4215i 0.924383 + 0.533693i
\(459\) 0.698537 13.0022i 0.0326049 0.606890i
\(460\) −1.79440 + 1.79440i −0.0836645 + 0.0836645i
\(461\) 5.51810 20.5938i 0.257004 0.959150i −0.709961 0.704241i \(-0.751288\pi\)
0.966965 0.254910i \(-0.0820457\pi\)
\(462\) 3.78202 7.74569i 0.175956 0.360362i
\(463\) 13.5636 + 13.5636i 0.630356 + 0.630356i 0.948157 0.317801i \(-0.102944\pi\)
−0.317801 + 0.948157i \(0.602944\pi\)
\(464\) −5.50981 + 3.18109i −0.255787 + 0.147679i
\(465\) 4.92859 5.66468i 0.228558 0.262693i
\(466\) −2.53591 + 0.679494i −0.117474 + 0.0314770i
\(467\) −17.4566 −0.807796 −0.403898 0.914804i \(-0.632345\pi\)
−0.403898 + 0.914804i \(0.632345\pi\)
\(468\) 6.98559 8.25842i 0.322909 0.381746i
\(469\) 12.3195 0.568862
\(470\) −26.0476 + 6.97944i −1.20149 + 0.321938i
\(471\) −4.23191 + 4.86395i −0.194996 + 0.224119i
\(472\) 4.80010 2.77134i 0.220943 0.127561i
\(473\) 27.6341 + 27.6341i 1.27062 + 1.27062i
\(474\) −13.3323 + 27.3050i −0.612374 + 1.25416i
\(475\) −0.00489982 + 0.0182864i −0.000224819 + 0.000839036i
\(476\) −1.77192 + 1.77192i −0.0812160 + 0.0812160i
\(477\) 4.79655 0.669829i 0.219619 0.0306694i
\(478\) −23.5370 13.5891i −1.07656 0.621550i
\(479\) −2.23517 8.34178i −0.102128 0.381146i 0.895876 0.444304i \(-0.146549\pi\)
−0.998003 + 0.0631589i \(0.979882\pi\)
\(480\) −0.741543 + 3.80601i −0.0338466 + 0.173720i
\(481\) 3.10967 + 6.14994i 0.141789 + 0.280413i
\(482\) 10.2376i 0.466308i
\(483\) −1.95862 + 0.136098i −0.0891202 + 0.00619269i
\(484\) −6.88324 + 11.9221i −0.312874 + 0.541915i
\(485\) −18.4042 31.8770i −0.835692 1.44746i
\(486\) 2.74050 15.3457i 0.124312 0.696094i
\(487\) 0.718108 + 0.192417i 0.0325406 + 0.00871922i 0.275053 0.961429i \(-0.411305\pi\)
−0.242512 + 0.970148i \(0.577971\pi\)
\(488\) −3.03090 0.812126i −0.137202 0.0367632i
\(489\) 0.138628 + 0.205718i 0.00626896 + 0.00930289i
\(490\) 1.11936 + 1.93879i 0.0505675 + 0.0875856i
\(491\) −17.7481 + 30.7405i −0.800959 + 1.38730i 0.118027 + 0.993010i \(0.462343\pi\)
−0.918986 + 0.394291i \(0.870990\pi\)
\(492\) 0.418714 + 6.02579i 0.0188771 + 0.271664i
\(493\) 15.9429i 0.718031i
\(494\) −1.17818 5.62827i −0.0530086 0.253228i
\(495\) 30.9789 + 12.5478i 1.39240 + 0.563983i
\(496\) −0.501184 1.87044i −0.0225038 0.0839853i
\(497\) −2.37498 1.37119i −0.106532 0.0615065i
\(498\) 11.3018 3.88599i 0.506446 0.174136i
\(499\) 27.6348 27.6348i 1.23710 1.23710i 0.275921 0.961180i \(-0.411017\pi\)
0.961180 0.275921i \(-0.0889829\pi\)
\(500\) 2.89024 10.7865i 0.129255 0.482388i
\(501\) 5.69956 + 2.78295i 0.254638 + 0.124333i
\(502\) −14.1845 14.1845i −0.633087 0.633087i
\(503\) 11.4842 6.63042i 0.512056 0.295636i −0.221622 0.975133i \(-0.571135\pi\)
0.733679 + 0.679497i \(0.237802\pi\)
\(504\) −2.36565 + 1.84491i −0.105374 + 0.0821790i
\(505\) −11.6243 + 3.11472i −0.517275 + 0.138603i
\(506\) 5.64114 0.250779
\(507\) −6.72548 + 21.4888i −0.298689 + 0.954350i
\(508\) 3.57122 0.158447
\(509\) −29.5365 + 7.91427i −1.30918 + 0.350794i −0.844914 0.534901i \(-0.820349\pi\)
−0.464267 + 0.885695i \(0.653682\pi\)
\(510\) −7.33053 6.37796i −0.324601 0.282421i
\(511\) −10.5844 + 6.11091i −0.468226 + 0.270331i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −5.53701 6.16573i −0.244465 0.272224i
\(514\) −4.73442 + 17.6691i −0.208826 + 0.779351i
\(515\) 16.6338 16.6338i 0.732972 0.732972i
\(516\) −4.42261 12.8625i −0.194695 0.566239i
\(517\) 51.9143 + 29.9728i 2.28319 + 1.31820i
\(518\) −0.494691 1.84621i −0.0217355 0.0811179i
\(519\) −18.1133 3.52910i −0.795086 0.154910i
\(520\) −1.65384 7.90058i −0.0725257 0.346463i
\(521\) 37.9878i 1.66428i −0.554568 0.832138i \(-0.687117\pi\)
0.554568 0.832138i \(-0.312883\pi\)
\(522\) 2.34265 18.9422i 0.102535 0.829080i
\(523\) −5.61192 + 9.72013i −0.245392 + 0.425032i −0.962242 0.272196i \(-0.912250\pi\)
0.716850 + 0.697228i \(0.245583\pi\)
\(524\) −10.9819 19.0213i −0.479748 0.830948i
\(525\) −0.0170502 + 0.0114897i −0.000744133 + 0.000501450i
\(526\) 27.3941 + 7.34022i 1.19444 + 0.320049i
\(527\) 4.68710 + 1.25591i 0.204173 + 0.0547081i
\(528\) 7.14817 4.81695i 0.311084 0.209631i
\(529\) 10.8575 + 18.8058i 0.472067 + 0.817645i
\(530\) 1.80705 3.12991i 0.0784934 0.135955i
\(531\) −2.04089 + 16.5023i −0.0885673 + 0.716139i
\(532\) 1.59484i 0.0691450i
\(533\) −5.67383 11.2210i −0.245761 0.486037i
\(534\) −8.42985 1.64243i −0.364795 0.0710747i
\(535\) −9.41341 35.1313i −0.406977 1.51886i
\(536\) 10.6690 + 6.15976i 0.460831 + 0.266061i
\(537\) 6.38906 + 18.5816i 0.275708 + 0.801855i
\(538\) 6.26477 6.26477i 0.270093 0.270093i
\(539\) 1.28804 4.80702i 0.0554797 0.207053i
\(540\) −7.77246 8.65502i −0.334473 0.372453i
\(541\) 21.3151 + 21.3151i 0.916409 + 0.916409i 0.996766 0.0803571i \(-0.0256061\pi\)
−0.0803571 + 0.996766i \(0.525606\pi\)
\(542\) −18.8224 + 10.8671i −0.808492 + 0.466783i
\(543\) 27.5438 + 23.9646i 1.18202 + 1.02842i
\(544\) −2.42049 + 0.648569i −0.103778 + 0.0278072i
\(545\) −26.9260 −1.15339
\(546\) 3.04687 5.45129i 0.130394 0.233294i
\(547\) −8.55508 −0.365789 −0.182894 0.983133i \(-0.558547\pi\)
−0.182894 + 0.983133i \(0.558547\pi\)
\(548\) 3.85986 1.03425i 0.164885 0.0441808i
\(549\) 7.42297 5.78900i 0.316805 0.247068i
\(550\) 0.0511600 0.0295372i 0.00218147 0.00125947i
\(551\) −7.17477 7.17477i −0.305655 0.305655i
\(552\) −1.76426 0.861444i −0.0750920 0.0366655i
\(553\) −4.54057 + 16.9456i −0.193085 + 0.720602i
\(554\) 4.28103 4.28103i 0.181884 0.181884i
\(555\) 7.00864 2.40984i 0.297500 0.102292i
\(556\) −9.73800 5.62224i −0.412983 0.238436i
\(557\) −8.11955 30.3026i −0.344037 1.28396i −0.893734 0.448598i \(-0.851924\pi\)
0.549697 0.835364i \(-0.314743\pi\)
\(558\) 5.38436 + 2.18091i 0.227938 + 0.0923251i
\(559\) 18.8807 + 21.0998i 0.798568 + 0.892425i
\(560\) 2.23872i 0.0946032i
\(561\) 1.49731 + 21.5480i 0.0632163 + 0.909757i
\(562\) 2.80809 4.86375i 0.118452 0.205165i
\(563\) 18.7355 + 32.4508i 0.789605 + 1.36764i 0.926209 + 0.377010i \(0.123048\pi\)
−0.136604 + 0.990626i \(0.543619\pi\)
\(564\) −11.6591 17.3017i −0.490937 0.728531i
\(565\) 1.32271 + 0.354419i 0.0556467 + 0.0149105i
\(566\) −5.59305 1.49865i −0.235094 0.0629931i
\(567\) −0.141316 8.99889i −0.00593473 0.377918i
\(568\) −1.37119 2.37498i −0.0575340 0.0996519i
\(569\) 15.1741 26.2824i 0.636133 1.10181i −0.350141 0.936697i \(-0.613866\pi\)
0.986274 0.165117i \(-0.0528003\pi\)
\(570\) −6.16923 + 0.428681i −0.258401 + 0.0179555i
\(571\) 23.8669i 0.998797i −0.866372 0.499398i \(-0.833554\pi\)
0.866372 0.499398i \(-0.166446\pi\)
\(572\) −9.81907 + 15.0183i −0.410556 + 0.627948i
\(573\) −4.72064 + 24.2290i −0.197208 + 1.01218i
\(574\) 0.902600 + 3.36855i 0.0376738 + 0.140601i
\(575\) −0.0116529 0.00672779i −0.000485959 0.000280568i
\(576\) −2.97117 + 0.414918i −0.123799 + 0.0172883i
\(577\) 4.27637 4.27637i 0.178027 0.178027i −0.612468 0.790495i \(-0.709823\pi\)
0.790495 + 0.612468i \(0.209823\pi\)
\(578\) −2.77469 + 10.3553i −0.115412 + 0.430723i
\(579\) −18.7274 + 38.3542i −0.778284 + 1.59395i
\(580\) −10.0714 10.0714i −0.418194 0.418194i
\(581\) 5.97561 3.45002i 0.247910 0.143131i
\(582\) 18.6926 21.4843i 0.774832 0.890555i
\(583\) −7.76028 + 2.07936i −0.321398 + 0.0861183i
\(584\) −12.2218 −0.505742
\(585\) 21.9059 + 10.3208i 0.905699 + 0.426712i
\(586\) −26.6844 −1.10232
\(587\) −7.17007 + 1.92122i −0.295941 + 0.0792970i −0.403734 0.914876i \(-0.632288\pi\)
0.107794 + 0.994173i \(0.465621\pi\)
\(588\) −1.13690 + 1.30670i −0.0468850 + 0.0538873i
\(589\) 2.67453 1.54414i 0.110202 0.0636252i
\(590\) 8.77414 + 8.77414i 0.361226 + 0.361226i
\(591\) 10.0892 20.6629i 0.415014 0.849960i
\(592\) 0.494691 1.84621i 0.0203317 0.0758788i
\(593\) −20.8143 + 20.8143i −0.854743 + 0.854743i −0.990713 0.135970i \(-0.956585\pi\)
0.135970 + 0.990713i \(0.456585\pi\)
\(594\) −1.38727 + 25.8219i −0.0569204 + 1.05949i
\(595\) −4.85837 2.80498i −0.199174 0.114993i
\(596\) −1.48620 5.54659i −0.0608773 0.227197i
\(597\) 4.17032 21.4044i 0.170680 0.876024i
\(598\) 4.08074 + 0.226499i 0.166874 + 0.00926222i
\(599\) 26.0281i 1.06348i 0.846908 + 0.531739i \(0.178461\pi\)
−0.846908 + 0.531739i \(0.821539\pi\)
\(600\) −0.0205108 + 0.00142523i −0.000837349 + 5.81848e-5i
\(601\) 1.89419 3.28084i 0.0772657 0.133828i −0.824804 0.565419i \(-0.808714\pi\)
0.902069 + 0.431591i \(0.142048\pi\)
\(602\) −3.92644 6.80079i −0.160030 0.277180i
\(603\) −34.0332 + 14.4111i −1.38594 + 0.586864i
\(604\) 6.51414 + 1.74546i 0.265057 + 0.0710217i
\(605\) −29.7692 7.97662i −1.21029 0.324296i
\(606\) −5.20312 7.72122i −0.211362 0.313653i
\(607\) −2.64461 4.58060i −0.107341 0.185921i 0.807351 0.590071i \(-0.200900\pi\)
−0.914692 + 0.404151i \(0.867567\pi\)
\(608\) −0.797419 + 1.38117i −0.0323396 + 0.0560138i
\(609\) −0.763879 10.9931i −0.0309539 0.445464i
\(610\) 7.02469i 0.284421i
\(611\) 36.3508 + 23.7664i 1.47060 + 0.961484i
\(612\) 2.82226 6.96776i 0.114083 0.281655i
\(613\) 8.05524 + 30.0626i 0.325348 + 1.21422i 0.913961 + 0.405801i \(0.133007\pi\)
−0.588613 + 0.808415i \(0.700326\pi\)
\(614\) −14.2488 8.22657i −0.575036 0.331997i
\(615\) −12.7878 + 4.39693i −0.515653 + 0.177301i
\(616\) 3.51898 3.51898i 0.141784 0.141784i
\(617\) 5.64026 21.0497i 0.227068 0.847430i −0.754497 0.656303i \(-0.772119\pi\)
0.981565 0.191127i \(-0.0612142\pi\)
\(618\) 16.3544 + 7.98543i 0.657870 + 0.321221i
\(619\) −3.03970 3.03970i −0.122176 0.122176i 0.643375 0.765551i \(-0.277534\pi\)
−0.765551 + 0.643375i \(0.777534\pi\)
\(620\) 3.75432 2.16756i 0.150777 0.0870512i
\(621\) 5.25156 2.66712i 0.210738 0.107028i
\(622\) −31.8424 + 8.53214i −1.27676 + 0.342108i
\(623\) −4.95849 −0.198658
\(624\) 5.36431 3.19752i 0.214744 0.128003i
\(625\) 25.0592 1.00237
\(626\) −0.453414 + 0.121492i −0.0181221 + 0.00485579i
\(627\) 10.3711 + 9.02341i 0.414181 + 0.360360i
\(628\) −3.22362 + 1.86116i −0.128637 + 0.0742684i
\(629\) 3.38675 + 3.38675i 0.135038 + 0.135038i
\(630\) −5.36023 4.04658i −0.213556 0.161220i
\(631\) −8.03819 + 29.9989i −0.319995 + 1.19424i 0.599253 + 0.800560i \(0.295464\pi\)
−0.919248 + 0.393679i \(0.871202\pi\)
\(632\) −12.4051 + 12.4051i −0.493447 + 0.493447i
\(633\) 15.2647 + 44.3950i 0.606716 + 1.76454i
\(634\) −9.88922 5.70954i −0.392751 0.226755i
\(635\) 2.06925 + 7.72253i 0.0821155 + 0.306459i
\(636\) 2.74455 + 0.534734i 0.108829 + 0.0212036i
\(637\) 1.12476 3.42563i 0.0445646 0.135728i
\(638\) 31.6620i 1.25351i
\(639\) 8.16496 + 1.00979i 0.323001 + 0.0399466i
\(640\) −1.11936 + 1.93879i −0.0442466 + 0.0766374i
\(641\) 17.8622 + 30.9382i 0.705513 + 1.22198i 0.966506 + 0.256643i \(0.0826166\pi\)
−0.260993 + 0.965341i \(0.584050\pi\)
\(642\) 23.3353 15.7250i 0.920972 0.620617i
\(643\) 3.75070 + 1.00500i 0.147913 + 0.0396332i 0.332016 0.943274i \(-0.392271\pi\)
−0.184103 + 0.982907i \(0.558938\pi\)
\(644\) −1.09491 0.293381i −0.0431455 0.0115608i
\(645\) 25.2518 17.0165i 0.994287 0.670022i
\(646\) −1.99823 3.46104i −0.0786195 0.136173i
\(647\) 3.36667 5.83124i 0.132357 0.229250i −0.792228 0.610226i \(-0.791079\pi\)
0.924585 + 0.380976i \(0.124412\pi\)
\(648\) 4.37706 7.86393i 0.171947 0.308924i
\(649\) 27.5837i 1.08275i
\(650\) 0.0381945 0.0193127i 0.00149811 0.000757508i
\(651\) 3.29208 + 0.641412i 0.129027 + 0.0251389i
\(652\) 0.0370686 + 0.138342i 0.00145172 + 0.00541788i
\(653\) −28.4810 16.4435i −1.11455 0.643486i −0.174546 0.984649i \(-0.555846\pi\)
−0.940004 + 0.341164i \(0.889179\pi\)
\(654\) −6.77365 19.7001i −0.264871 0.770335i
\(655\) 34.7691 34.7691i 1.35854 1.35854i
\(656\) −0.902600 + 3.36855i −0.0352406 + 0.131520i
\(657\) 22.0914 29.2630i 0.861869 1.14166i
\(658\) −8.51745 8.51745i −0.332045 0.332045i
\(659\) −34.6566 + 20.0090i −1.35003 + 0.779441i −0.988254 0.152823i \(-0.951163\pi\)
−0.361778 + 0.932264i \(0.617830\pi\)
\(660\) 14.5582 + 12.6664i 0.566677 + 0.493040i
\(661\) −41.2876 + 11.0630i −1.60590 + 0.430300i −0.946818 0.321769i \(-0.895722\pi\)
−0.659084 + 0.752069i \(0.729056\pi\)
\(662\) 15.4442 0.600256
\(663\) 0.217956 + 15.6477i 0.00846470 + 0.607706i
\(664\) 6.90004 0.267774
\(665\) −3.44874 + 0.924086i −0.133736 + 0.0358345i
\(666\) 3.52626 + 4.52156i 0.136640 + 0.175207i
\(667\) 6.24557 3.60588i 0.241829 0.139620i
\(668\) 2.58940 + 2.58940i 0.100187 + 0.100187i
\(669\) −12.9865 6.34097i −0.502087 0.245156i
\(670\) −7.13822 + 26.6402i −0.275773 + 1.02920i
\(671\) −11.0419 + 11.0419i −0.426268 + 0.426268i
\(672\) −1.63793 + 0.563184i −0.0631846 + 0.0217253i
\(673\) 22.2799 + 12.8633i 0.858828 + 0.495845i 0.863620 0.504144i \(-0.168192\pi\)
−0.00479162 + 0.999989i \(0.501525\pi\)
\(674\) 5.68674 + 21.2232i 0.219045 + 0.817487i
\(675\) 0.0336616 0.0516856i 0.00129564 0.00198938i
\(676\) −7.70601 + 10.4698i −0.296385 + 0.402686i
\(677\) 29.2077i 1.12254i −0.827631 0.561272i \(-0.810312\pi\)
0.827631 0.561272i \(-0.189688\pi\)
\(678\) 0.0734410 + 1.05690i 0.00282048 + 0.0405901i
\(679\) 8.22085 14.2389i 0.315487 0.546440i
\(680\) −2.80498 4.85837i −0.107566 0.186310i
\(681\) −12.7972 18.9905i −0.490389 0.727719i
\(682\) −9.30843 2.49419i −0.356438 0.0955073i
\(683\) 25.1156 + 6.72971i 0.961022 + 0.257505i 0.705033 0.709174i \(-0.250932\pi\)
0.255989 + 0.966680i \(0.417599\pi\)
\(684\) −1.86560 4.40580i −0.0713331 0.168460i
\(685\) 4.47299 + 7.74744i 0.170904 + 0.296015i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) −39.4702 + 2.74266i −1.50588 + 0.104639i
\(688\) 7.85288i 0.299388i
\(689\) −5.69719 + 1.19260i −0.217045 + 0.0454345i
\(690\) 0.840565 4.31425i 0.0319998 0.164241i
\(691\) −3.58545 13.3811i −0.136397 0.509041i −0.999988 0.00484814i \(-0.998457\pi\)
0.863591 0.504193i \(-0.168210\pi\)
\(692\) −9.22695 5.32718i −0.350756 0.202509i
\(693\) 2.06488 + 14.7863i 0.0784383 + 0.561685i
\(694\) −19.1203 + 19.1203i −0.725798 + 0.725798i
\(695\) 6.51531 24.3155i 0.247140 0.922339i
\(696\) 4.83502 9.90226i 0.183271 0.375344i
\(697\) −6.17937 6.17937i −0.234060 0.234060i
\(698\) −9.11693 + 5.26366i −0.345081 + 0.199233i
\(699\) 2.98478 3.43056i 0.112895 0.129756i
\(700\) −0.0114660 + 0.00307230i −0.000433373 + 0.000116122i
\(701\) −20.7025 −0.781924 −0.390962 0.920407i \(-0.627858\pi\)
−0.390962 + 0.920407i \(0.627858\pi\)
\(702\) −2.04032 + 18.6236i −0.0770068 + 0.702901i
\(703\) 3.04827 0.114968
\(704\) 4.80702 1.28804i 0.181171 0.0485447i
\(705\) 30.6582 35.2371i 1.15465 1.32710i
\(706\) 21.8772 12.6308i 0.823361 0.475368i
\(707\) −3.80109 3.80109i −0.142955 0.142955i
\(708\) −4.21223 + 8.62676i −0.158305 + 0.324213i
\(709\) −4.80853 + 17.9457i −0.180588 + 0.673964i 0.814944 + 0.579540i \(0.196768\pi\)
−0.995532 + 0.0944240i \(0.969899\pi\)
\(710\) 4.34124 4.34124i 0.162924 0.162924i
\(711\) −7.27909 52.1244i −0.272987 1.95482i
\(712\) −4.29418 2.47925i −0.160931 0.0929137i
\(713\) 0.568109 + 2.12021i 0.0212759 + 0.0794026i
\(714\) 0.830035 4.26020i 0.0310633 0.159434i
\(715\) −38.1656 12.5312i −1.42731 0.468639i
\(716\) 11.3445i 0.423966i
\(717\) 46.9607 3.26316i 1.75378 0.121865i
\(718\) 7.11662 12.3263i 0.265590 0.460015i
\(719\) −1.20412 2.08560i −0.0449063 0.0777799i 0.842699 0.538386i \(-0.180966\pi\)
−0.887605 + 0.460606i \(0.847632\pi\)
\(720\) −2.61880 6.18455i −0.0975969 0.230485i
\(721\) 10.1496 + 2.71958i 0.377992 + 0.101283i
\(722\) 15.8958 + 4.25925i 0.591579 + 0.158513i
\(723\) −9.90915 14.7048i −0.368525 0.546878i
\(724\) 10.5395 + 18.2549i 0.391696 + 0.678437i
\(725\) 0.0377610 0.0654040i 0.00140241 0.00242904i
\(726\) −1.65288 23.7869i −0.0613441 0.882814i
\(727\) 19.3374i 0.717186i −0.933494 0.358593i \(-0.883257\pi\)
0.933494 0.358593i \(-0.116743\pi\)
\(728\) 2.68688 2.40430i 0.0995825 0.0891093i
\(729\) 10.9171 + 24.6945i 0.404336 + 0.914610i
\(730\) −7.08161 26.4289i −0.262102 0.978178i
\(731\) 17.0420 + 9.83918i 0.630320 + 0.363915i
\(732\) 5.13953 1.76717i 0.189963 0.0653163i
\(733\) 29.1374 29.1374i 1.07622 1.07622i 0.0793711 0.996845i \(-0.474709\pi\)
0.996845 0.0793711i \(-0.0252912\pi\)
\(734\) −5.69055 + 21.2374i −0.210042 + 0.783887i
\(735\) −3.48440 1.70134i −0.128524 0.0627550i
\(736\) −0.801531 0.801531i −0.0295448 0.0295448i
\(737\) 53.0953 30.6546i 1.95579 1.12918i
\(738\) −6.43392 8.24992i −0.236836 0.303684i
\(739\) −32.0414 + 8.58548i −1.17866 + 0.315822i −0.794396 0.607400i \(-0.792212\pi\)
−0.384267 + 0.923222i \(0.625546\pi\)
\(740\) 4.27895 0.157298
\(741\) 7.14001 + 6.94384i 0.262295 + 0.255088i
\(742\) 1.61436 0.0592652
\(743\) 3.74703 1.00401i 0.137465 0.0368337i −0.189430 0.981894i \(-0.560664\pi\)
0.326896 + 0.945060i \(0.393997\pi\)
\(744\) 2.53032 + 2.20152i 0.0927661 + 0.0807117i
\(745\) 11.1330 6.42765i 0.407882 0.235491i
\(746\) −5.84183 5.84183i −0.213885 0.213885i
\(747\) −12.4721 + 16.5210i −0.456331 + 0.604470i
\(748\) −3.22766 + 12.0458i −0.118015 + 0.440438i
\(749\) 11.4878 11.4878i 0.419754 0.419754i
\(750\) 6.28909 + 18.2908i 0.229645 + 0.667887i
\(751\) −9.20781 5.31613i −0.335998 0.193988i 0.322503 0.946568i \(-0.395476\pi\)
−0.658501 + 0.752580i \(0.728809\pi\)
\(752\) −3.11760 11.6351i −0.113687 0.424287i
\(753\) 34.1036 + 6.64456i 1.24280 + 0.242141i
\(754\) −1.27127 + 22.9039i −0.0462968 + 0.834112i
\(755\) 15.0978i 0.549465i
\(756\) 1.61219 4.93972i 0.0586347 0.179656i
\(757\) 14.6540 25.3815i 0.532609 0.922506i −0.466666 0.884434i \(-0.654545\pi\)
0.999275 0.0380725i \(-0.0121218\pi\)
\(758\) −13.7939 23.8917i −0.501015 0.867784i
\(759\) −8.10271 + 5.46019i −0.294110 + 0.198192i
\(760\) −3.44874 0.924086i −0.125099 0.0335201i
\(761\) −2.05863 0.551608i −0.0746252 0.0199958i 0.221313 0.975203i \(-0.428966\pi\)
−0.295938 + 0.955207i \(0.595632\pi\)
\(762\) −5.12955 + 3.45666i −0.185824 + 0.125221i
\(763\) −6.01371 10.4161i −0.217711 0.377087i
\(764\) −7.12581 + 12.3423i −0.257803 + 0.446528i
\(765\) 16.7026 + 2.06567i 0.603885 + 0.0746844i
\(766\) 32.5553i 1.17627i
\(767\) 1.10752 19.9537i 0.0399901 0.720486i
\(768\) −1.70008 0.331235i −0.0613465 0.0119524i
\(769\) −8.89775 33.2069i −0.320861 1.19747i −0.918408 0.395636i \(-0.870524\pi\)
0.597547 0.801834i \(-0.296142\pi\)
\(770\) 9.64856 + 5.57060i 0.347710 + 0.200751i
\(771\) −10.3020 29.9617i −0.371017 1.07905i
\(772\) −17.4249 + 17.4249i −0.627135 + 0.627135i
\(773\) −9.33711 + 34.8466i −0.335833 + 1.25334i 0.567131 + 0.823628i \(0.308053\pi\)
−0.902964 +