Properties

Label 546.2.bu.b.323.6
Level $546$
Weight $2$
Character 546.323
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 323.6
Character \(\chi\) \(=\) 546.323
Dual form 546.2.bu.b.71.6

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{12}\right)\)

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 −0.258157 0.966103i \(-0.583115\pi\)
0.966103 + 0.258157i \(0.0831153\pi\)
\(6\) −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 −0.444447 0.895805i \(-0.646600\pi\)
0.832805 0.553566i \(-0.186733\pi\)
\(12\) 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 −0.673129 0.739525i \(-0.735050\pi\)
0.977012 + 0.213185i \(0.0683837\pi\)
\(18\) 1.16978 2.76254i 0.275719 0.651137i
\(19\) 1.54049 0.412774i 0.353414 0.0946969i −0.0777444 0.996973i \(-0.524772\pi\)
0.431158 + 0.902276i \(0.358105\pi\)
\(20\) 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 0.800867 0.598842i \(-0.204372\pi\)
−0.919046 + 0.394150i \(0.871039\pi\)
\(24\) 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 −0.915014 0.403422i \(-0.867821\pi\)
−0.108133 + 0.994136i \(0.534487\pi\)
\(30\) −3.66687 1.26081i −0.669477 0.230192i
\(31\) 1.36926 + 1.36926i 0.245926 + 0.245926i 0.819296 0.573370i \(-0.194364\pi\)
−0.573370 + 0.819296i \(0.694364\pi\)
\(32\) −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 0.407362 0.913267i \(-0.366449\pi\)
−0.103847 + 0.994593i \(0.533115\pi\)
\(38\) −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 −0.0140021 0.999902i \(-0.504457\pi\)
−0.512077 + 0.858939i \(0.671124\pi\)
\(42\) −1.30670 + 1.13690i −0.201628 + 0.175427i
\(43\) 6.80079 + 3.92644i 1.03711 + 0.598776i 0.919014 0.394226i \(-0.128987\pi\)
0.118097 + 0.993002i \(0.462320\pi\)
\(44\) 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 0.959003 + 0.283394i \(0.0914605\pi\)
0.283394 + 0.959003i \(0.408540\pi\)
\(48\) −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 \(-0.964635\pi\)
0.993834 0.110875i \(-0.0353653\pi\)
\(54\) 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 −0.589890 0.807484i \(-0.700829\pi\)
−0.107118 + 0.994246i \(0.534162\pi\)
\(60\) 3.21561 + 2.16691i 0.415133 + 0.279746i
\(61\) 1.56891 2.71743i 0.200878 0.347931i −0.747934 0.663774i \(-0.768954\pi\)
0.948812 + 0.315843i \(0.102287\pi\)
\(62\) −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 0.441343 + 0.897338i \(0.354502\pi\)
−0.830884 + 0.556446i \(0.812165\pi\)
\(68\) 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 0.910933 0.412555i \(-0.135364\pi\)
−0.995168 + 0.0981832i \(0.968697\pi\)
\(72\) 2.39433 1.80754i 0.282174 0.213021i
\(73\) 8.64213 8.64213i 1.01148 1.01148i 0.0115511 0.999933i \(-0.496323\pi\)
0.999933 0.0115511i \(-0.00367692\pi\)
\(74\) −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 −0.922218 0.386671i \(-0.873625\pi\)
0.386671 + 0.922218i \(0.373625\pi\)
\(84\) 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 −0.863956 0.503567i \(-0.832021\pi\)
0.999991 0.00412321i \(-0.00131246\pi\)
\(90\) −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 −0.948792 0.315902i \(-0.897693\pi\)
−0.663727 + 0.747975i \(0.731026\pi\)
\(98\) 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 0.700757 0.713400i \(-0.252846\pi\)
−0.968201 + 0.250174i \(0.919512\pi\)
\(102\) −4.32987 0.300869i −0.428721 0.0297905i
\(103\) 10.5077i 1.03535i 0.855577 + 0.517676i \(0.173203\pi\)
−0.855577 + 0.517676i \(0.826797\pi\)
\(104\) −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 −0.989645 0.143539i \(-0.954152\pi\)
−0.370514 + 0.928827i \(0.620818\pi\)
\(108\) −5.18867 + 0.278759i −0.499280 + 0.0268236i
\(109\) −8.50467 8.50467i −0.814600 0.814600i 0.170720 0.985320i \(-0.445391\pi\)
−0.985320 + 0.170720i \(0.945391\pi\)
\(110\) 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 0.524709 0.851282i \(-0.324174\pi\)
−0.474877 + 0.880052i \(0.657507\pi\)
\(114\) −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 −0.356465 0.934309i \(-0.616018\pi\)
0.630903 + 0.775862i \(0.282685\pi\)
\(128\) 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 \(0.409094\pi\)
−0.281722 + 0.959496i \(0.590906\pi\)
\(132\) 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 −0.0901352 0.995930i \(-0.528730\pi\)
0.419905 + 0.907568i \(0.362063\pi\)
\(138\) −1.09717 + 1.62816i −0.0933976 + 0.138599i
\(139\) −5.62224 + 9.73800i −0.476872 + 0.825966i −0.999649 0.0265031i \(-0.991563\pi\)
0.522777 + 0.852470i \(0.324896\pi\)
\(140\) −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 0.999703 0.0243606i \(-0.00775498\pi\)
−0.877949 + 0.478755i \(0.841088\pi\)
\(150\) −0.0184755 + 0.00902110i −0.00150852 + 0.000736570i
\(151\) 4.76868 4.76868i 0.388070 0.388070i −0.485929 0.873998i \(-0.661519\pi\)
0.873998 + 0.485929i \(0.161519\pi\)
\(152\) −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 0.964459 0.264233i \(-0.0851187\pi\)
−0.967362 + 0.253397i \(0.918452\pi\)
\(164\) −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 −0.919510 0.393066i \(-0.871415\pi\)
0.992852 + 0.119350i \(0.0380812\pi\)
\(168\) −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 −0.994324 0.106399i \(-0.966068\pi\)
0.589306 + 0.807910i \(0.299401\pi\)
\(174\) 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 0.572358 0.820004i \(-0.306029\pi\)
−0.996323 + 0.0856742i \(0.972696\pi\)
\(180\) 0.824330 + 6.66538i 0.0614419 + 0.496808i
\(181\) 21.0789i 1.56678i −0.621528 0.783392i \(-0.713488\pi\)
0.621528 0.783392i \(-0.286512\pi\)
\(182\) 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 −0.0181148 0.999836i \(-0.505766\pi\)
−0.874941 + 0.484230i \(0.839100\pi\)
\(192\) −1.30670 + 1.13690i −0.0943028 + 0.0820487i
\(193\) −23.8028 6.37795i −1.71337 0.459095i −0.737120 0.675762i \(-0.763815\pi\)
−0.976246 + 0.216667i \(0.930482\pi\)
\(194\) 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 0.684865 0.728670i \(-0.259861\pi\)
0.228775 + 0.973479i \(0.426528\pi\)
\(198\) −11.7729 9.18139i −0.836661 0.652493i
\(199\) 10.9034 + 6.29510i 0.772924 + 0.446248i 0.833917 0.551890i \(-0.186093\pi\)
−0.0609926 + 0.998138i \(0.519427\pi\)
\(200\) −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 −0.778219 0.627992i \(-0.783877\pi\)
−0.154748 0.987954i \(-0.549456\pi\)
\(212\) 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 0.855159 + 0.518365i \(0.173459\pi\)
−0.999772 + 0.0213380i \(0.993207\pi\)
\(224\) −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 0.981544 + 0.191239i \(0.0612504\pi\)
−0.754422 + 0.656389i \(0.772083\pi\)
\(228\) 1.21202 + 2.48224i 0.0802677 + 0.164391i
\(229\) −16.1525 + 16.1525i −1.06739 + 1.06739i −0.0698266 + 0.997559i \(0.522245\pi\)
−0.997559 + 0.0698266i \(0.977755\pi\)
\(230\) 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 0.284393 0.958708i \(-0.408208\pi\)
0.958708 0.284393i \(-0.0917920\pi\)
\(240\) 1.70134 + 3.48440i 0.109821 + 0.224917i
\(241\) 2.64967 + 9.88872i 0.170681 + 0.636988i 0.997247 + 0.0741495i \(0.0236242\pi\)
−0.826567 + 0.562839i \(0.809709\pi\)
\(242\) 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 −0.353830 0.935310i \(-0.615121\pi\)
0.986917 0.161229i \(-0.0515457\pi\)
\(252\) 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 0.996512 + 0.0834485i \(0.0265934\pi\)
−0.425987 + 0.904729i \(0.640073\pi\)
\(258\) 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 −0.514630 + 0.857412i \(0.672071\pi\)
−0.999856 + 0.0169770i \(0.994596\pi\)
\(264\) −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 0.247510 0.968885i \(-0.420388\pi\)
−0.715325 + 0.698792i \(0.753721\pi\)
\(270\) 5.26754 10.3718i 0.320572 0.631206i
\(271\) 20.9937 + 5.62524i 1.27527 + 0.341709i 0.832049 0.554701i \(-0.187168\pi\)
0.443225 + 0.896410i \(0.353834\pi\)
\(272\) 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 0.334144 0.942522i \(-0.391553\pi\)
−0.649176 + 0.760638i \(0.724886\pi\)
\(278\) 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 0.578663 0.815567i \(-0.303575\pi\)
−0.815567 + 0.578663i \(0.803575\pi\)
\(282\) 6.78383 19.7297i 0.403971 1.17489i
\(283\) 5.01459 2.89518i 0.298087 0.172100i −0.343496 0.939154i \(-0.611611\pi\)
0.641583 + 0.767054i \(0.278278\pi\)
\(284\) 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 0.590763 0.806845i \(-0.298827\pi\)
0.915038 + 0.403367i \(0.132160\pi\)
\(294\) 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 −0.292324 0.956319i \(-0.594429\pi\)
0.956319 + 0.292324i \(0.0944287\pi\)
\(308\) −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 −0.443008 0.896518i \(-0.646089\pi\)
0.896518 + 0.443008i \(0.146089\pi\)
\(318\) −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 −0.644331 0.764747i \(-0.722864\pi\)
−0.175634 + 0.984456i \(0.556198\pi\)
\(332\) −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 \(0.204213\pi\)
−0.801166 + 0.598442i \(0.795787\pi\)
\(338\) 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 0.972514 0.232846i \(-0.0748038\pi\)
0.284606 + 0.958645i \(0.408137\pi\)
\(348\) −7.23317 8.31346i −0.387738 0.445648i
\(349\) 10.1686 + 2.72467i 0.544313 + 0.145848i 0.520490 0.853868i \(-0.325749\pi\)
0.0238236 + 0.999716i \(0.492416\pi\)
\(350\) 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 −0.457759 0.889076i \(-0.651348\pi\)
−0.840969 + 0.541083i \(0.818015\pi\)
\(354\) 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 0.389744 0.920923i \(-0.372564\pi\)
−0.920923 + 0.389744i \(0.872564\pi\)
\(360\) 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 0.996166 + 0.0874825i \(0.0278822\pi\)
−0.422321 + 0.906446i \(0.638784\pi\)
\(368\) 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 −0.739042 0.673659i \(-0.764722\pi\)
0.952927 + 0.303200i \(0.0980550\pi\)
\(374\) 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 −0.498239 0.867040i \(-0.666020\pi\)
0.865007 0.501759i \(-0.167314\pi\)
\(380\) 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 0.751507 + 0.659725i \(0.229327\pi\)
−0.320962 + 0.947092i \(0.604006\pi\)
\(384\) 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 0.952852 0.303436i \(-0.0981338\pi\)
−0.976912 + 0.213643i \(0.931467\pi\)
\(398\) −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 −0.780222 0.625503i \(-0.784894\pi\)
0.988443 0.151590i \(-0.0484394\pi\)
\(402\) 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 −0.365494 0.930814i \(-0.619100\pi\)
0.148880 + 0.988855i \(0.452433\pi\)
\(410\) 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 −0.986385 0.164453i \(-0.947414\pi\)
−0.350772 + 0.936461i \(0.614081\pi\)
\(420\) 1.26081 3.66687i 0.0615213 0.178925i
\(421\) −7.48230 7.48230i −0.364665 0.364665i 0.500862 0.865527i \(-0.333016\pi\)
−0.865527 + 0.500862i \(0.833016\pi\)
\(422\) 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 −0.498021 0.867165i \(-0.665940\pi\)
−0.864882 + 0.501976i \(0.832607\pi\)
\(432\) −4.63290 2.35292i −0.222900 0.113205i
\(433\) 1.27868 + 0.738247i 0.0614495 + 0.0354779i 0.530410 0.847741i \(-0.322038\pi\)
−0.468960 + 0.883219i \(0.655371\pi\)
\(434\) −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 −0.388263 0.921549i \(-0.626925\pi\)
0.603953 + 0.797020i \(0.293591\pi\)
\(440\) −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 \(0.267072\pi\)
−0.668184 + 0.743996i \(0.732928\pi\)
\(444\) −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 0.0956610 0.995414i \(-0.469504\pi\)
0.580552 + 0.814223i \(0.302837\pi\)
\(450\) −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 −0.225326 0.974283i \(-0.572345\pi\)
0.682280 0.731091i \(-0.260989\pi\)
\(458\) 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 0.966965 + 0.254910i \(0.0820457\pi\)
−0.709961 + 0.704241i \(0.751288\pi\)
\(462\) 3.78202 + 7.74569i 0.175956 + 0.360362i
\(463\) 13.5636 13.5636i 0.630356 0.630356i −0.317801 0.948157i \(-0.602944\pi\)
0.948157 + 0.317801i \(0.102944\pi\)
\(464\) −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 −0.998003 0.0631589i \(-0.979882\pi\)
0.895876 + 0.444304i \(0.146549\pi\)
\(480\) −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 −0.242512 0.970148i \(-0.577971\pi\)
0.275053 + 0.961429i \(0.411305\pi\)
\(488\) −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 −0.918986 0.394291i \(-0.870990\pi\)
0.118027 0.993010i \(-0.462343\pi\)
\(492\) 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 0.961180 + 0.275921i \(0.0889829\pi\)
0.275921 + 0.961180i \(0.411017\pi\)
\(500\) 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 0.733679 0.679497i \(-0.237802\pi\)
−0.221622 + 0.975133i \(0.571135\pi\)
\(504\) −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 −0.464267 0.885695i \(-0.653682\pi\)
−0.844914 + 0.534901i \(0.820349\pi\)
\(510\) −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 \(0.312883\pi\)
−0.554568 + 0.832138i \(0.687117\pi\)
\(522\) 2.34265 + 18.9422i 0.102535 + 0.829080i
\(523\) −5.61192 9.72013i −0.245392 0.425032i 0.716850 0.697228i \(-0.245583\pi\)
−0.962242 + 0.272196i \(0.912250\pi\)
\(524\) −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 −0.0803571 0.996766i \(-0.525606\pi\)
0.996766 + 0.0803571i \(0.0256061\pi\)
\(542\) −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 0.549697 + 0.835364i \(0.314743\pi\)
−0.893734 + 0.448598i \(0.851924\pi\)
\(558\) 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 −0.136604 0.990626i \(-0.543619\pi\)
0.926209 0.377010i \(-0.123048\pi\)
\(564\) −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 0.986274 + 0.165117i \(0.0528003\pi\)
−0.350141 + 0.936697i \(0.613866\pi\)
\(570\) −6.16923 0.428681i −0.258401 0.0179555i
\(571\) 23.8669i 0.998797i 0.866372 + 0.499398i \(0.166446\pi\)
−0.866372 + 0.499398i \(0.833554\pi\)
\(572\) −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 0.790495 0.612468i \(-0.209823\pi\)
−0.612468 + 0.790495i \(0.709823\pi\)
\(578\) −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 0.107794 0.994173i \(-0.465621\pi\)
−0.403734 + 0.914876i \(0.632288\pi\)
\(588\) −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 0.135970 0.990713i \(-0.456585\pi\)
−0.990713 + 0.135970i \(0.956585\pi\)
\(594\) −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 \(-0.821539\pi\)
0.846908 0.531739i \(-0.178461\pi\)
\(600\) −0.0205108 0.00142523i −0.000837349 5.81848e-5i
\(601\) 1.89419 + 3.28084i 0.0772657 + 0.133828i 0.902069 0.431591i \(-0.142048\pi\)
−0.824804 + 0.565419i \(0.808714\pi\)
\(602\) −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 −0.914692 0.404151i \(-0.867567\pi\)
0.807351 + 0.590071i \(0.200900\pi\)
\(608\) −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 −0.588613 0.808415i \(-0.700326\pi\)
0.913961 0.405801i \(-0.133007\pi\)
\(614\) −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 0.981565 + 0.191127i \(0.0612142\pi\)
−0.754497 + 0.656303i \(0.772119\pi\)
\(618\) 16.3544 7.98543i 0.657870 0.321221i
\(619\) −3.03970 + 3.03970i −0.122176 + 0.122176i −0.765551 0.643375i \(-0.777534\pi\)
0.643375 + 0.765551i \(0.277534\pi\)
\(620\) 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 −0.919248 0.393679i \(-0.871202\pi\)
0.599253 0.800560i \(-0.295464\pi\)
\(632\) −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 −0.260993 0.965341i \(-0.584050\pi\)
0.966506 0.256643i \(-0.0826166\pi\)
\(642\) 23.3353 + 15.7250i 0.920972 + 0.620617i
\(643\) 3.75070 1.00500i 0.147913 0.0396332i −0.184103 0.982907i \(-0.558938\pi\)
0.332016 + 0.943274i \(0.392271\pi\)
\(644\) −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 0.924585 0.380976i \(-0.124412\pi\)
−0.792228 + 0.610226i \(0.791079\pi\)
\(648\) 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 −0.940004 0.341164i \(-0.889179\pi\)
−0.174546 + 0.984649i \(0.555846\pi\)
\(654\) −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 −0.361778 0.932264i \(-0.617830\pi\)
−0.988254 + 0.152823i \(0.951163\pi\)
\(660\) 14.5582 12.6664i 0.566677 0.493040i
\(661\) −41.2876 11.0630i −1.60590 0.430300i −0.659084 0.752069i \(-0.729056\pi\)
−0.946818 + 0.321769i \(0.895722\pi\)
\(662\) 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 −0.00479162 0.999989i \(-0.501525\pi\)
0.863620 + 0.504144i \(0.168192\pi\)
\(674\) 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 \(0.189688\pi\)
−0.827631 + 0.561272i \(0.810312\pi\)
\(678\) 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 0.255989 0.966680i \(-0.417599\pi\)
0.705033 + 0.709174i \(0.250932\pi\)
\(684\) −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 0.863591 + 0.504193i \(0.168210\pi\)
−0.999988 + 0.00484814i \(0.998457\pi\)
\(692\) −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 −0.995532 0.0944240i \(-0.969899\pi\)
0.814944 0.579540i \(-0.196768\pi\)
\(710\) 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 −0.887605 0.460606i \(-0.847632\pi\)
0.842699 + 0.538386i \(0.180966\pi\)
\(720\) −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 \(0.116743\pi\)
−0.933494 + 0.358593i \(0.883257\pi\)
\(728\) 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 0.996845 + 0.0793711i \(0.0252912\pi\)
0.0793711 + 0.996845i \(0.474709\pi\)
\(734\) −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 −0.384267 0.923222i \(-0.625546\pi\)
−0.794396 + 0.607400i \(0.792212\pi\)
\(740\) 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 0.326896 0.945060i \(-0.393997\pi\)
−0.189430 + 0.981894i \(0.560664\pi\)
\(744\) 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 −0.658501 0.752580i \(-0.728809\pi\)
0.322503 + 0.946568i \(0.395476\pi\)
\(752\) −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 0.999275 + 0.0380725i \(0.0121218\pi\)
−0.466666 + 0.884434i \(0.654545\pi\)
\(758\) −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 −0.295938 0.955207i \(-0.595632\pi\)
0.221313 + 0.975203i \(0.428966\pi\)
\(762\) −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 0.597547 + 0.801834i \(0.296142\pi\)
−0.918408 + 0.395636i \(0.870524\pi\)
\(770\) 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 −0.902964 0.429717i \(-0.858613\pi\)
0.567131