Properties

Label 57.2.j.b.14.1
Level 57
Weight 2
Character 57.14
Analytic conductor 0.455
Analytic rank 0
Dimension 24
CM No

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Newspace parameters

Level: \( N \) = \( 57 = 3 \cdot 19 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 57.j (of order \(18\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(0.455147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{18})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 14.1
Character \(\chi\) = 57.14
Dual form 57.2.j.b.53.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.08555 + 0.759077i) q^{2} +(-1.47284 - 0.911455i) q^{3} +(2.24122 - 1.88060i) q^{4} +(1.78018 - 2.12154i) q^{5} +(3.76353 + 0.782886i) q^{6} +(-1.70913 - 2.96030i) q^{7} +(-1.02725 + 1.77924i) q^{8} +(1.33850 + 2.68485i) q^{9} +O(q^{10})\) \(q+(-2.08555 + 0.759077i) q^{2} +(-1.47284 - 0.911455i) q^{3} +(2.24122 - 1.88060i) q^{4} +(1.78018 - 2.12154i) q^{5} +(3.76353 + 0.782886i) q^{6} +(-1.70913 - 2.96030i) q^{7} +(-1.02725 + 1.77924i) q^{8} +(1.33850 + 2.68485i) q^{9} +(-2.10224 + 5.77587i) q^{10} +(-2.03664 - 1.17586i) q^{11} +(-5.01503 + 0.727055i) q^{12} +(-0.115554 + 0.0203753i) q^{13} +(5.81156 + 4.87648i) q^{14} +(-4.55561 + 1.50212i) q^{15} +(-0.224297 + 1.27205i) q^{16} +(-0.519239 - 1.42660i) q^{17} +(-4.82951 - 4.58336i) q^{18} +(3.41260 - 2.71186i) q^{19} -8.10265i q^{20} +(-0.180911 + 5.91783i) q^{21} +(5.14008 + 0.906334i) q^{22} +(4.79880 + 5.71899i) q^{23} +(3.13467 - 1.68425i) q^{24} +(-0.463638 - 2.62942i) q^{25} +(0.225527 - 0.130208i) q^{26} +(0.475732 - 5.17433i) q^{27} +(-9.39767 - 3.42047i) q^{28} +(1.69319 + 0.616270i) q^{29} +(8.36070 - 6.59081i) q^{30} +(-1.23287 + 0.711795i) q^{31} +(-1.21132 - 6.86975i) q^{32} +(1.92790 + 3.58815i) q^{33} +(2.16579 + 2.58109i) q^{34} +(-9.32295 - 1.64389i) q^{35} +(8.04901 + 3.50015i) q^{36} +3.31937i q^{37} +(-5.05862 + 8.24613i) q^{38} +(0.188763 + 0.0753128i) q^{39} +(1.94605 + 5.34672i) q^{40} +(0.635235 - 3.60260i) q^{41} +(-4.11479 - 12.4792i) q^{42} +(3.60739 + 3.02696i) q^{43} +(-6.77588 + 1.19477i) q^{44} +(8.07879 + 1.93985i) q^{45} +(-14.3493 - 8.28456i) q^{46} +(-2.61102 + 7.17373i) q^{47} +(1.48977 - 1.66909i) q^{48} +(-2.34224 + 4.05687i) q^{49} +(2.96287 + 5.13184i) q^{50} +(-0.535525 + 2.57441i) q^{51} +(-0.220664 + 0.262977i) q^{52} +(2.93617 - 2.46374i) q^{53} +(2.93555 + 11.1524i) q^{54} +(-6.12022 + 2.22758i) q^{55} +7.02278 q^{56} +(-7.49794 + 0.883697i) q^{57} -3.99901 q^{58} +(10.5343 - 3.83419i) q^{59} +(-7.38520 + 11.9339i) q^{60} +(6.58405 - 5.52467i) q^{61} +(2.03089 - 2.42032i) q^{62} +(5.66029 - 8.55110i) q^{63} +(6.44925 + 11.1704i) q^{64} +(-0.162480 + 0.281424i) q^{65} +(-6.74441 - 6.01983i) q^{66} +(-0.0605694 + 0.166413i) q^{67} +(-3.84659 - 2.22083i) q^{68} +(-1.85525 - 12.7970i) q^{69} +(20.6913 - 3.64843i) q^{70} +(-5.60649 - 4.70441i) q^{71} +(-6.15197 - 0.376489i) q^{72} +(0.838249 - 4.75394i) q^{73} +(-2.51966 - 6.92270i) q^{74} +(-1.71374 + 4.29529i) q^{75} +(2.54844 - 12.4956i) q^{76} +8.03875i q^{77} +(-0.450843 - 0.0137825i) q^{78} +(-6.89453 - 1.21569i) q^{79} +(2.29942 + 2.74034i) q^{80} +(-5.41684 + 7.18734i) q^{81} +(1.40984 + 7.99558i) q^{82} +(0.836326 - 0.482853i) q^{83} +(10.7236 + 13.6034i) q^{84} +(-3.95092 - 1.43802i) q^{85} +(-9.82108 - 3.57458i) q^{86} +(-1.93209 - 2.45093i) q^{87} +(4.18427 - 2.41579i) q^{88} +(2.02208 + 11.4678i) q^{89} +(-18.3212 + 2.08678i) q^{90} +(0.257813 + 0.307250i) q^{91} +(21.5103 + 3.79285i) q^{92} +(2.46458 + 0.0753434i) q^{93} -16.9431i q^{94} +(0.321731 - 12.0676i) q^{95} +(-4.47739 + 11.2221i) q^{96} +(1.73122 + 4.75650i) q^{97} +(1.80536 - 10.2387i) q^{98} +(0.430956 - 7.04196i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} + O(q^{10}) \) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} - 6q^{10} + 9q^{12} + 6q^{13} - 9q^{15} + 30q^{16} - 12q^{19} - 6q^{21} + 24q^{22} - 21q^{24} + 12q^{25} - 27q^{27} - 48q^{28} + 42q^{30} - 18q^{31} + 21q^{33} - 42q^{34} + 63q^{36} + 30q^{40} + 105q^{42} + 54q^{43} + 6q^{45} - 54q^{46} - 33q^{48} + 6q^{49} + 3q^{51} - 48q^{52} - 87q^{54} - 90q^{55} - 6q^{57} + 24q^{58} - 66q^{60} - 6q^{61} - 9q^{63} + 18q^{64} - 57q^{66} - 36q^{69} + 18q^{70} + 24q^{72} + 90q^{73} + 12q^{76} + 9q^{78} + 30q^{79} + 3q^{81} + 126q^{82} + 99q^{84} - 6q^{85} + 15q^{87} + 54q^{88} + 24q^{90} + 66q^{91} + 33q^{93} - 18q^{96} - 78q^{97} + 12q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.08555 + 0.759077i −1.47470 + 0.536748i −0.949373 0.314150i \(-0.898281\pi\)
−0.525331 + 0.850898i \(0.676058\pi\)
\(3\) −1.47284 0.911455i −0.850343 0.526229i
\(4\) 2.24122 1.88060i 1.12061 0.940302i
\(5\) 1.78018 2.12154i 0.796122 0.948781i −0.203418 0.979092i \(-0.565205\pi\)
0.999541 + 0.0303104i \(0.00964959\pi\)
\(6\) 3.76353 + 0.782886i 1.53646 + 0.319612i
\(7\) −1.70913 2.96030i −0.645990 1.11889i −0.984072 0.177770i \(-0.943112\pi\)
0.338082 0.941117i \(-0.390222\pi\)
\(8\) −1.02725 + 1.77924i −0.363186 + 0.629057i
\(9\) 1.33850 + 2.68485i 0.446166 + 0.894950i
\(10\) −2.10224 + 5.77587i −0.664788 + 1.82649i
\(11\) −2.03664 1.17586i −0.614071 0.354534i 0.160486 0.987038i \(-0.448694\pi\)
−0.774557 + 0.632504i \(0.782027\pi\)
\(12\) −5.01503 + 0.727055i −1.44772 + 0.209883i
\(13\) −0.115554 + 0.0203753i −0.0320489 + 0.00565108i −0.189650 0.981852i \(-0.560735\pi\)
0.157601 + 0.987503i \(0.449624\pi\)
\(14\) 5.81156 + 4.87648i 1.55320 + 1.30329i
\(15\) −4.55561 + 1.50212i −1.17625 + 0.387847i
\(16\) −0.224297 + 1.27205i −0.0560744 + 0.318013i
\(17\) −0.519239 1.42660i −0.125934 0.346001i 0.860663 0.509174i \(-0.170049\pi\)
−0.986597 + 0.163174i \(0.947827\pi\)
\(18\) −4.82951 4.58336i −1.13833 1.08031i
\(19\) 3.41260 2.71186i 0.782903 0.622143i
\(20\) 8.10265i 1.81181i
\(21\) −0.180911 + 5.91783i −0.0394780 + 1.29138i
\(22\) 5.14008 + 0.906334i 1.09587 + 0.193231i
\(23\) 4.79880 + 5.71899i 1.00062 + 1.19249i 0.981262 + 0.192679i \(0.0617177\pi\)
0.0193576 + 0.999813i \(0.493838\pi\)
\(24\) 3.13467 1.68425i 0.639861 0.343795i
\(25\) −0.463638 2.62942i −0.0927276 0.525884i
\(26\) 0.225527 0.130208i 0.0442294 0.0255359i
\(27\) 0.475732 5.17433i 0.0915546 0.995800i
\(28\) −9.39767 3.42047i −1.77599 0.646409i
\(29\) 1.69319 + 0.616270i 0.314417 + 0.114438i 0.494408 0.869230i \(-0.335385\pi\)
−0.179991 + 0.983668i \(0.557607\pi\)
\(30\) 8.36070 6.59081i 1.52645 1.20331i
\(31\) −1.23287 + 0.711795i −0.221429 + 0.127842i −0.606612 0.794998i \(-0.707472\pi\)
0.385183 + 0.922840i \(0.374138\pi\)
\(32\) −1.21132 6.86975i −0.214133 1.21441i
\(33\) 1.92790 + 3.58815i 0.335605 + 0.624617i
\(34\) 2.16579 + 2.58109i 0.371431 + 0.442654i
\(35\) −9.32295 1.64389i −1.57587 0.277868i
\(36\) 8.04901 + 3.50015i 1.34150 + 0.583358i
\(37\) 3.31937i 0.545701i 0.962056 + 0.272851i \(0.0879665\pi\)
−0.962056 + 0.272851i \(0.912034\pi\)
\(38\) −5.05862 + 8.24613i −0.820617 + 1.33770i
\(39\) 0.188763 + 0.0753128i 0.0302263 + 0.0120597i
\(40\) 1.94605 + 5.34672i 0.307697 + 0.845391i
\(41\) 0.635235 3.60260i 0.0992071 0.562631i −0.894170 0.447728i \(-0.852233\pi\)
0.993377 0.114903i \(-0.0366557\pi\)
\(42\) −4.11479 12.4792i −0.634925 1.92559i
\(43\) 3.60739 + 3.02696i 0.550122 + 0.461607i 0.874982 0.484155i \(-0.160873\pi\)
−0.324860 + 0.945762i \(0.605317\pi\)
\(44\) −6.77588 + 1.19477i −1.02150 + 0.180118i
\(45\) 8.07879 + 1.93985i 1.20431 + 0.289176i
\(46\) −14.3493 8.28456i −2.11569 1.22149i
\(47\) −2.61102 + 7.17373i −0.380857 + 1.04640i 0.590139 + 0.807301i \(0.299073\pi\)
−0.970996 + 0.239094i \(0.923149\pi\)
\(48\) 1.48977 1.66909i 0.215030 0.240913i
\(49\) −2.34224 + 4.05687i −0.334605 + 0.579553i
\(50\) 2.96287 + 5.13184i 0.419013 + 0.725752i
\(51\) −0.535525 + 2.57441i −0.0749886 + 0.360489i
\(52\) −0.220664 + 0.262977i −0.0306005 + 0.0364683i
\(53\) 2.93617 2.46374i 0.403314 0.338421i −0.418459 0.908236i \(-0.637430\pi\)
0.821773 + 0.569815i \(0.192985\pi\)
\(54\) 2.93555 + 11.1524i 0.399478 + 1.51765i
\(55\) −6.12022 + 2.22758i −0.825251 + 0.300367i
\(56\) 7.02278 0.938458
\(57\) −7.49794 + 0.883697i −0.993126 + 0.117049i
\(58\) −3.99901 −0.525096
\(59\) 10.5343 3.83419i 1.37145 0.499169i 0.451878 0.892080i \(-0.350754\pi\)
0.919576 + 0.392911i \(0.128532\pi\)
\(60\) −7.38520 + 11.9339i −0.953426 + 1.54066i
\(61\) 6.58405 5.52467i 0.843001 0.707362i −0.115236 0.993338i \(-0.536762\pi\)
0.958237 + 0.285976i \(0.0923178\pi\)
\(62\) 2.03089 2.42032i 0.257923 0.307381i
\(63\) 5.66029 8.55110i 0.713129 1.07734i
\(64\) 6.44925 + 11.1704i 0.806157 + 1.39630i
\(65\) −0.162480 + 0.281424i −0.0201532 + 0.0349064i
\(66\) −6.74441 6.01983i −0.830180 0.740990i
\(67\) −0.0605694 + 0.166413i −0.00739974 + 0.0203306i −0.943338 0.331835i \(-0.892332\pi\)
0.935938 + 0.352165i \(0.114555\pi\)
\(68\) −3.84659 2.22083i −0.466468 0.269315i
\(69\) −1.85525 12.7970i −0.223346 1.54058i
\(70\) 20.6913 3.64843i 2.47308 0.436071i
\(71\) −5.60649 4.70441i −0.665368 0.558310i 0.246322 0.969188i \(-0.420778\pi\)
−0.911690 + 0.410878i \(0.865222\pi\)
\(72\) −6.15197 0.376489i −0.725016 0.0443697i
\(73\) 0.838249 4.75394i 0.0981096 0.556407i −0.895640 0.444779i \(-0.853282\pi\)
0.993750 0.111628i \(-0.0356066\pi\)
\(74\) −2.51966 6.92270i −0.292904 0.804748i
\(75\) −1.71374 + 4.29529i −0.197885 + 0.495978i
\(76\) 2.54844 12.4956i 0.292326 1.43334i
\(77\) 8.03875i 0.916101i
\(78\) −0.450843 0.0137825i −0.0510479 0.00156056i
\(79\) −6.89453 1.21569i −0.775695 0.136776i −0.228233 0.973606i \(-0.573295\pi\)
−0.547462 + 0.836830i \(0.684406\pi\)
\(80\) 2.29942 + 2.74034i 0.257083 + 0.306380i
\(81\) −5.41684 + 7.18734i −0.601872 + 0.798593i
\(82\) 1.40984 + 7.99558i 0.155690 + 0.882964i
\(83\) 0.836326 0.482853i 0.0917987 0.0530000i −0.453398 0.891308i \(-0.649788\pi\)
0.545197 + 0.838308i \(0.316455\pi\)
\(84\) 10.7236 + 13.6034i 1.17004 + 1.48425i
\(85\) −3.95092 1.43802i −0.428538 0.155975i
\(86\) −9.82108 3.57458i −1.05903 0.385457i
\(87\) −1.93209 2.45093i −0.207141 0.262767i
\(88\) 4.18427 2.41579i 0.446044 0.257524i
\(89\) 2.02208 + 11.4678i 0.214340 + 1.21558i 0.882048 + 0.471159i \(0.156164\pi\)
−0.667709 + 0.744423i \(0.732725\pi\)
\(90\) −18.3212 + 2.08678i −1.93122 + 0.219966i
\(91\) 0.257813 + 0.307250i 0.0270262 + 0.0322085i
\(92\) 21.5103 + 3.79285i 2.24260 + 0.395432i
\(93\) 2.46458 + 0.0753434i 0.255565 + 0.00781275i
\(94\) 16.9431i 1.74755i
\(95\) 0.321731 12.0676i 0.0330089 1.23811i
\(96\) −4.47739 + 11.2221i −0.456971 + 1.14535i
\(97\) 1.73122 + 4.75650i 0.175779 + 0.482949i 0.996026 0.0890602i \(-0.0283864\pi\)
−0.820247 + 0.572009i \(0.806164\pi\)
\(98\) 1.80536 10.2387i 0.182369 1.03427i
\(99\) 0.430956 7.04196i 0.0433127 0.707744i
\(100\) −5.98401 5.02118i −0.598401 0.502118i
\(101\) −15.9166 + 2.80652i −1.58376 + 0.279259i −0.895113 0.445840i \(-0.852905\pi\)
−0.688644 + 0.725099i \(0.741794\pi\)
\(102\) −0.837311 5.77555i −0.0829061 0.571865i
\(103\) 6.51129 + 3.75930i 0.641577 + 0.370414i 0.785222 0.619215i \(-0.212549\pi\)
−0.143645 + 0.989629i \(0.545882\pi\)
\(104\) 0.0824498 0.226529i 0.00808487 0.0222130i
\(105\) 12.2329 + 10.9186i 1.19380 + 1.06555i
\(106\) −4.25335 + 7.36702i −0.413122 + 0.715548i
\(107\) 7.01577 + 12.1517i 0.678241 + 1.17475i 0.975510 + 0.219954i \(0.0705906\pi\)
−0.297270 + 0.954794i \(0.596076\pi\)
\(108\) −8.66465 12.4915i −0.833756 1.20199i
\(109\) 4.37755 5.21696i 0.419293 0.499694i −0.514508 0.857485i \(-0.672026\pi\)
0.933802 + 0.357791i \(0.116470\pi\)
\(110\) 11.0731 9.29144i 1.05578 0.885904i
\(111\) 3.02546 4.88889i 0.287164 0.464033i
\(112\) 4.14901 1.51012i 0.392044 0.142693i
\(113\) −7.78182 −0.732052 −0.366026 0.930605i \(-0.619282\pi\)
−0.366026 + 0.930605i \(0.619282\pi\)
\(114\) 14.9665 7.53450i 1.40174 0.705671i
\(115\) 20.6758 1.92803
\(116\) 4.95376 1.80302i 0.459945 0.167406i
\(117\) −0.209373 0.282973i −0.0193566 0.0261608i
\(118\) −19.0594 + 15.9927i −1.75456 + 1.47225i
\(119\) −3.33571 + 3.97534i −0.305784 + 0.364419i
\(120\) 2.00709 9.64859i 0.183221 0.880791i
\(121\) −2.73472 4.73668i −0.248611 0.430607i
\(122\) −9.53769 + 16.5198i −0.863502 + 1.49563i
\(123\) −4.21920 + 4.72705i −0.380433 + 0.426224i
\(124\) −1.42451 + 3.91382i −0.127925 + 0.351471i
\(125\) 5.58839 + 3.22646i 0.499841 + 0.288583i
\(126\) −5.31385 + 22.1303i −0.473395 + 1.97153i
\(127\) −18.3814 + 3.24113i −1.63108 + 0.287604i −0.912879 0.408230i \(-0.866146\pi\)
−0.718203 + 0.695833i \(0.755035\pi\)
\(128\) −11.2420 9.43317i −0.993663 0.833782i
\(129\) −2.55416 7.74620i −0.224881 0.682015i
\(130\) 0.125238 0.710258i 0.0109841 0.0622937i
\(131\) −3.39721 9.33375i −0.296815 0.815493i −0.995027 0.0996023i \(-0.968243\pi\)
0.698212 0.715891i \(-0.253979\pi\)
\(132\) 11.0687 + 4.41621i 0.963410 + 0.384382i
\(133\) −13.8605 5.46738i −1.20186 0.474082i
\(134\) 0.393039i 0.0339534i
\(135\) −10.1307 10.2205i −0.871908 0.879644i
\(136\) 3.07165 + 0.541615i 0.263392 + 0.0464431i
\(137\) −2.76198 3.29160i −0.235972 0.281220i 0.635043 0.772477i \(-0.280982\pi\)
−0.871015 + 0.491256i \(0.836538\pi\)
\(138\) 13.5831 + 25.2805i 1.15627 + 2.15202i
\(139\) 3.20674 + 18.1863i 0.271992 + 1.54255i 0.748356 + 0.663297i \(0.230844\pi\)
−0.476364 + 0.879248i \(0.658045\pi\)
\(140\) −23.9862 + 13.8485i −2.02721 + 1.17041i
\(141\) 10.3841 8.18590i 0.874503 0.689377i
\(142\) 15.2636 + 5.55550i 1.28089 + 0.466207i
\(143\) 0.259300 + 0.0943777i 0.0216838 + 0.00789226i
\(144\) −3.71550 + 1.10044i −0.309625 + 0.0917031i
\(145\) 4.32162 2.49509i 0.358891 0.207206i
\(146\) 1.86040 + 10.5509i 0.153968 + 0.873196i
\(147\) 7.14739 3.84027i 0.589507 0.316740i
\(148\) 6.24242 + 7.43943i 0.513124 + 0.611517i
\(149\) −4.17566 0.736281i −0.342083 0.0603185i −3.24291e−5 1.00000i \(-0.500010\pi\)
−0.342051 + 0.939682i \(0.611121\pi\)
\(150\) 0.313620 10.2589i 0.0256069 0.837635i
\(151\) 11.5897i 0.943157i 0.881824 + 0.471579i \(0.156316\pi\)
−0.881824 + 0.471579i \(0.843684\pi\)
\(152\) 1.31948 + 8.85759i 0.107024 + 0.718445i
\(153\) 3.13520 3.30358i 0.253466 0.267078i
\(154\) −6.10203 16.7652i −0.491716 1.35098i
\(155\) −0.684625 + 3.88270i −0.0549904 + 0.311866i
\(156\) 0.564693 0.186197i 0.0452116 0.0149077i
\(157\) −5.99170 5.02764i −0.478190 0.401249i 0.371581 0.928400i \(-0.378816\pi\)
−0.849771 + 0.527151i \(0.823260\pi\)
\(158\) 15.3017 2.69810i 1.21734 0.214649i
\(159\) −6.57009 + 0.952498i −0.521042 + 0.0755380i
\(160\) −16.7308 9.65954i −1.32269 0.763654i
\(161\) 8.72814 23.9804i 0.687874 1.88992i
\(162\) 5.84134 19.1013i 0.458939 1.50074i
\(163\) 8.86563 15.3557i 0.694410 1.20275i −0.275969 0.961166i \(-0.588999\pi\)
0.970379 0.241587i \(-0.0776679\pi\)
\(164\) −5.35136 9.26883i −0.417871 0.723774i
\(165\) 11.0444 + 2.29745i 0.859808 + 0.178856i
\(166\) −1.37767 + 1.64185i −0.106928 + 0.127432i
\(167\) 1.47243 1.23552i 0.113940 0.0956071i −0.584038 0.811727i \(-0.698528\pi\)
0.697978 + 0.716120i \(0.254083\pi\)
\(168\) −10.3434 6.40095i −0.798011 0.493844i
\(169\) −12.2031 + 4.44155i −0.938697 + 0.341658i
\(170\) 9.33140 0.715686
\(171\) 11.8487 + 5.53249i 0.906092 + 0.423080i
\(172\) 13.7775 1.05052
\(173\) 14.7484 5.36798i 1.12130 0.408120i 0.286173 0.958178i \(-0.407617\pi\)
0.835126 + 0.550058i \(0.185395\pi\)
\(174\) 5.88990 + 3.64492i 0.446512 + 0.276321i
\(175\) −6.99145 + 5.86652i −0.528504 + 0.443467i
\(176\) 1.95257 2.32698i 0.147180 0.175403i
\(177\) −19.0101 3.95445i −1.42888 0.297235i
\(178\) −12.9221 22.3817i −0.968549 1.67758i
\(179\) 7.73482 13.3971i 0.578127 1.00135i −0.417567 0.908646i \(-0.637117\pi\)
0.995694 0.0926997i \(-0.0295497\pi\)
\(180\) 21.7544 10.8454i 1.62148 0.808367i
\(181\) −0.349717 + 0.960840i −0.0259943 + 0.0714186i −0.952011 0.306064i \(-0.900988\pi\)
0.926017 + 0.377482i \(0.123210\pi\)
\(182\) −0.770908 0.445084i −0.0571435 0.0329918i
\(183\) −14.7327 + 2.13588i −1.08907 + 0.157889i
\(184\) −15.1050 + 2.66342i −1.11356 + 0.196350i
\(185\) 7.04218 + 5.90909i 0.517751 + 0.434445i
\(186\) −5.19719 + 1.71367i −0.381076 + 0.125653i
\(187\) −0.619969 + 3.51602i −0.0453366 + 0.257117i
\(188\) 7.63907 + 20.9882i 0.557137 + 1.53072i
\(189\) −16.1306 + 7.43528i −1.17333 + 0.540837i
\(190\) 8.48922 + 25.4117i 0.615873 + 1.84356i
\(191\) 11.9539i 0.864957i 0.901644 + 0.432478i \(0.142361\pi\)
−0.901644 + 0.432478i \(0.857639\pi\)
\(192\) 0.682653 22.3304i 0.0492662 1.61156i
\(193\) 11.9048 + 2.09914i 0.856926 + 0.151099i 0.584815 0.811167i \(-0.301167\pi\)
0.272111 + 0.962266i \(0.412278\pi\)
\(194\) −7.22109 8.60576i −0.518444 0.617858i
\(195\) 0.495812 0.266398i 0.0355059 0.0190772i
\(196\) 2.37991 + 13.4971i 0.169994 + 0.964082i
\(197\) 1.82224 1.05207i 0.129829 0.0749568i −0.433679 0.901067i \(-0.642785\pi\)
0.563508 + 0.826111i \(0.309451\pi\)
\(198\) 4.44661 + 15.0135i 0.316007 + 1.06696i
\(199\) 5.43706 + 1.97893i 0.385423 + 0.140283i 0.527462 0.849578i \(-0.323144\pi\)
−0.142039 + 0.989861i \(0.545366\pi\)
\(200\) 5.15465 + 1.87614i 0.364489 + 0.132663i
\(201\) 0.240887 0.189893i 0.0169909 0.0133940i
\(202\) 31.0644 17.9350i 2.18568 1.26190i
\(203\) −1.06953 6.06562i −0.0750664 0.425723i
\(204\) 3.64122 + 6.77692i 0.254936 + 0.474479i
\(205\) −6.51222 7.76096i −0.454833 0.542049i
\(206\) −16.4332 2.89762i −1.14496 0.201886i
\(207\) −8.93144 + 20.5389i −0.620778 + 1.42755i
\(208\) 0.151561i 0.0105089i
\(209\) −10.1390 + 1.51036i −0.701329 + 0.104474i
\(210\) −33.8003 13.4856i −2.33244 0.930597i
\(211\) 8.09042 + 22.2282i 0.556967 + 1.53025i 0.824013 + 0.566571i \(0.191730\pi\)
−0.267046 + 0.963684i \(0.586047\pi\)
\(212\) 1.94727 11.0435i 0.133739 0.758474i
\(213\) 3.96959 + 12.0389i 0.271992 + 0.824891i
\(214\) −23.8558 20.0174i −1.63075 1.36836i
\(215\) 12.8436 2.26468i 0.875929 0.154450i
\(216\) 8.71769 + 6.16175i 0.593164 + 0.419254i
\(217\) 4.21425 + 2.43310i 0.286082 + 0.165169i
\(218\) −5.16951 + 14.2031i −0.350123 + 0.961956i
\(219\) −5.56761 + 6.23776i −0.376224 + 0.421509i
\(220\) −9.52755 + 16.5022i −0.642347 + 1.11258i
\(221\) 0.0890674 + 0.154269i 0.00599132 + 0.0103773i
\(222\) −2.59869 + 12.4926i −0.174413 + 0.838446i
\(223\) 3.50193 4.17344i 0.234506 0.279474i −0.635938 0.771740i \(-0.719387\pi\)
0.870445 + 0.492266i \(0.163831\pi\)
\(224\) −18.2662 + 15.3271i −1.22046 + 1.02409i
\(225\) 6.43902 4.76427i 0.429268 0.317618i
\(226\) 16.2293 5.90700i 1.07956 0.392928i
\(227\) 2.88851 0.191717 0.0958584 0.995395i \(-0.469440\pi\)
0.0958584 + 0.995395i \(0.469440\pi\)
\(228\) −15.1426 + 16.0812i −1.00284 + 1.06500i
\(229\) −28.8455 −1.90616 −0.953081 0.302714i \(-0.902107\pi\)
−0.953081 + 0.302714i \(0.902107\pi\)
\(230\) −43.1204 + 15.6945i −2.84327 + 1.03487i
\(231\) 7.32697 11.8398i 0.482079 0.779000i
\(232\) −2.83581 + 2.37953i −0.186180 + 0.156224i
\(233\) 2.52237 3.00604i 0.165246 0.196932i −0.677067 0.735922i \(-0.736749\pi\)
0.842313 + 0.538989i \(0.181194\pi\)
\(234\) 0.651456 + 0.431222i 0.0425870 + 0.0281899i
\(235\) 10.5712 + 18.3099i 0.689592 + 1.19441i
\(236\) 16.3992 28.4042i 1.06749 1.84895i
\(237\) 9.04647 + 8.07457i 0.587632 + 0.524500i
\(238\) 3.93918 10.8228i 0.255339 0.701539i
\(239\) 0.756613 + 0.436831i 0.0489412 + 0.0282562i 0.524271 0.851552i \(-0.324338\pi\)
−0.475330 + 0.879808i \(0.657671\pi\)
\(240\) −0.888973 6.13190i −0.0573829 0.395813i
\(241\) 5.29239 0.933191i 0.340913 0.0601121i −0.000570854 1.00000i \(-0.500182\pi\)
0.341484 + 0.939888i \(0.389071\pi\)
\(242\) 9.29890 + 7.80270i 0.597756 + 0.501577i
\(243\) 14.5291 5.64856i 0.932040 0.362355i
\(244\) 4.36656 24.7640i 0.279540 1.58535i
\(245\) 4.43720 + 12.1911i 0.283483 + 0.778862i
\(246\) 5.21115 13.0612i 0.332251 0.832751i
\(247\) −0.339084 + 0.382899i −0.0215754 + 0.0243633i
\(248\) 2.92476i 0.185722i
\(249\) −1.67187 0.0511099i −0.105950 0.00323896i
\(250\) −14.1040 2.48691i −0.892014 0.157286i
\(251\) 5.16327 + 6.15335i 0.325903 + 0.388396i 0.903972 0.427592i \(-0.140638\pi\)
−0.578069 + 0.815988i \(0.696194\pi\)
\(252\) −3.39531 29.8096i −0.213884 1.87783i
\(253\) −3.04874 17.2902i −0.191672 1.08703i
\(254\) 35.8749 20.7124i 2.25099 1.29961i
\(255\) 4.50838 + 5.71906i 0.282326 + 0.358141i
\(256\) 6.36496 + 2.31666i 0.397810 + 0.144791i
\(257\) −9.31791 3.39144i −0.581235 0.211552i 0.0346349 0.999400i \(-0.488973\pi\)
−0.615870 + 0.787848i \(0.711195\pi\)
\(258\) 11.2068 + 14.2162i 0.697703 + 0.885065i
\(259\) 9.82632 5.67323i 0.610578 0.352517i
\(260\) 0.165094 + 0.936293i 0.0102387 + 0.0580664i
\(261\) 0.611736 + 5.37083i 0.0378655 + 0.332446i
\(262\) 14.1701 + 16.8872i 0.875429 + 1.04330i
\(263\) −21.1995 3.73805i −1.30722 0.230498i −0.523720 0.851890i \(-0.675456\pi\)
−0.783500 + 0.621392i \(0.786567\pi\)
\(264\) −8.36463 0.255711i −0.514807 0.0157379i
\(265\) 10.6151i 0.652081i
\(266\) 33.0568 + 0.881321i 2.02684 + 0.0540373i
\(267\) 7.47417 18.7332i 0.457412 1.14645i
\(268\) 0.177208 + 0.486875i 0.0108247 + 0.0297406i
\(269\) −3.21162 + 18.2140i −0.195816 + 1.11053i 0.715436 + 0.698678i \(0.246228\pi\)
−0.911252 + 0.411849i \(0.864883\pi\)
\(270\) 28.8861 + 13.6255i 1.75795 + 0.829219i
\(271\) 2.34190 + 1.96508i 0.142260 + 0.119370i 0.711141 0.703050i \(-0.248179\pi\)
−0.568881 + 0.822420i \(0.692623\pi\)
\(272\) 1.93117 0.340518i 0.117095 0.0206469i
\(273\) −0.0996724 0.687514i −0.00603245 0.0416103i
\(274\) 8.25881 + 4.76823i 0.498933 + 0.288059i
\(275\) −2.14756 + 5.90036i −0.129503 + 0.355805i
\(276\) −28.2242 25.1919i −1.69890 1.51638i
\(277\) −13.3273 + 23.0835i −0.800757 + 1.38695i 0.118361 + 0.992971i \(0.462236\pi\)
−0.919118 + 0.393982i \(0.871097\pi\)
\(278\) −20.4926 35.4943i −1.22907 2.12881i
\(279\) −3.56125 2.35732i −0.213207 0.141129i
\(280\) 12.5018 14.8991i 0.747128 0.890392i
\(281\) −18.8698 + 15.8337i −1.12568 + 0.944558i −0.998877 0.0473703i \(-0.984916\pi\)
−0.126803 + 0.991928i \(0.540471\pi\)
\(282\) −15.4429 + 24.9544i −0.919610 + 1.48602i
\(283\) −10.4668 + 3.80961i −0.622187 + 0.226458i −0.633827 0.773475i \(-0.718517\pi\)
0.0116400 + 0.999932i \(0.496295\pi\)
\(284\) −21.4125 −1.27060
\(285\) −11.4729 + 17.4803i −0.679596 + 1.03544i
\(286\) −0.612423 −0.0362133
\(287\) −11.7505 + 4.27682i −0.693607 + 0.252452i
\(288\) 16.8229 12.4474i 0.991298 0.733468i
\(289\) 11.2572 9.44590i 0.662187 0.555641i
\(290\) −7.11898 + 8.48407i −0.418041 + 0.498202i
\(291\) 1.78552 8.58348i 0.104669 0.503172i
\(292\) −7.06159 12.2310i −0.413248 0.715767i
\(293\) −14.2154 + 24.6217i −0.830470 + 1.43842i 0.0671953 + 0.997740i \(0.478595\pi\)
−0.897666 + 0.440677i \(0.854738\pi\)
\(294\) −11.9912 + 13.4345i −0.699338 + 0.783514i
\(295\) 10.6187 29.1746i 0.618243 1.69861i
\(296\) −5.90597 3.40981i −0.343277 0.198191i
\(297\) −7.05316 + 9.97887i −0.409266 + 0.579033i
\(298\) 9.26742 1.63410i 0.536847 0.0946606i
\(299\) −0.671046 0.563075i −0.0388076 0.0325635i
\(300\) 4.23689 + 12.8495i 0.244617 + 0.741869i
\(301\) 2.79521 15.8524i 0.161113 0.913718i
\(302\) −8.79748 24.1709i −0.506238 1.39088i
\(303\) 26.0005 + 10.3737i 1.49369 + 0.595953i
\(304\) 2.68419 + 4.94927i 0.153949 + 0.283860i
\(305\) 23.8033i 1.36297i
\(306\) −4.03094 + 9.26962i −0.230433 + 0.529909i
\(307\) 1.21691 + 0.214574i 0.0694529 + 0.0122464i 0.208267 0.978072i \(-0.433218\pi\)
−0.138814 + 0.990319i \(0.544329\pi\)
\(308\) 15.1177 + 18.0166i 0.861412 + 1.02659i
\(309\) −6.16364 11.4716i −0.350637 0.652596i
\(310\) −1.51945 8.61723i −0.0862990 0.489426i
\(311\) 12.9378 7.46964i 0.733635 0.423564i −0.0861156 0.996285i \(-0.527445\pi\)
0.819750 + 0.572721i \(0.194112\pi\)
\(312\) −0.327906 + 0.258491i −0.0185640 + 0.0146342i
\(313\) 24.0296 + 8.74606i 1.35823 + 0.494356i 0.915507 0.402301i \(-0.131789\pi\)
0.442725 + 0.896657i \(0.354012\pi\)
\(314\) 16.3123 + 5.93720i 0.920558 + 0.335056i
\(315\) −8.06516 27.2311i −0.454420 1.53430i
\(316\) −17.7384 + 10.2413i −0.997862 + 0.576116i
\(317\) −5.48089 31.0837i −0.307837 1.74583i −0.609840 0.792525i \(-0.708766\pi\)
0.302003 0.953307i \(-0.402345\pi\)
\(318\) 12.9792 6.97368i 0.727837 0.391065i
\(319\) −2.72377 3.24607i −0.152502 0.181745i
\(320\) 35.1794 + 6.20307i 1.96659 + 0.346762i
\(321\) 0.742619 24.2920i 0.0414490 1.35585i
\(322\) 56.6375i 3.15628i
\(323\) −5.64069 3.46030i −0.313856 0.192536i
\(324\) 1.37621 + 26.2953i 0.0764561 + 1.46085i
\(325\) 0.107150 + 0.294393i 0.00594363 + 0.0163300i
\(326\) −6.83351 + 38.7548i −0.378473 + 2.14643i
\(327\) −11.2024 + 3.69379i −0.619497 + 0.204267i
\(328\) 5.75735 + 4.83099i 0.317897 + 0.266747i
\(329\) 25.6989 4.53141i 1.41683 0.249825i
\(330\) −24.7776 + 3.59213i −1.36396 + 0.197740i
\(331\) −12.6919 7.32765i −0.697608 0.402764i 0.108848 0.994058i \(-0.465284\pi\)
−0.806456 + 0.591294i \(0.798617\pi\)
\(332\) 0.966332 2.65498i 0.0530344 0.145711i
\(333\) −8.91202 + 4.44297i −0.488375 + 0.243473i
\(334\) −2.13297 + 3.69442i −0.116711 + 0.202149i
\(335\) 0.245228 + 0.424746i 0.0133982 + 0.0232064i
\(336\) −7.48722 1.55748i −0.408461 0.0849676i
\(337\) 8.29663 9.88754i 0.451946 0.538609i −0.491173 0.871062i \(-0.663432\pi\)
0.943120 + 0.332453i \(0.107876\pi\)
\(338\) 22.0786 18.5261i 1.20092 1.00769i
\(339\) 11.4614 + 7.09278i 0.622495 + 0.385227i
\(340\) −11.5592 + 4.20721i −0.626887 + 0.228168i
\(341\) 3.34788 0.181298
\(342\) −28.9106 2.54421i −1.56331 0.137575i
\(343\) −7.91507 −0.427374
\(344\) −9.09138 + 3.30899i −0.490174 + 0.178409i
\(345\) −30.4521 18.8451i −1.63949 1.01459i
\(346\) −26.6837 + 22.3903i −1.43453 + 1.20371i
\(347\) 4.93290 5.87880i 0.264812 0.315590i −0.617211 0.786798i \(-0.711737\pi\)
0.882022 + 0.471208i \(0.156182\pi\)
\(348\) −8.93945 1.85957i −0.479205 0.0996836i
\(349\) −2.39476 4.14784i −0.128188 0.222029i 0.794786 0.606889i \(-0.207583\pi\)
−0.922975 + 0.384860i \(0.874250\pi\)
\(350\) 10.1278 17.5419i 0.541356 0.937657i
\(351\) 0.0504557 + 0.607607i 0.00269313 + 0.0324317i
\(352\) −5.61080 + 15.4156i −0.299057 + 0.821652i
\(353\) 26.2583 + 15.1602i 1.39759 + 0.806897i 0.994139 0.108106i \(-0.0344786\pi\)
0.403447 + 0.915003i \(0.367812\pi\)
\(354\) 42.6481 6.18291i 2.26672 0.328618i
\(355\) −19.9612 + 3.51969i −1.05943 + 0.186806i
\(356\) 26.0983 + 21.8990i 1.38320 + 1.16065i
\(357\) 8.53630 2.81468i 0.451789 0.148969i
\(358\) −5.96189 + 33.8116i −0.315096 + 1.78700i
\(359\) 10.5174 + 28.8964i 0.555089 + 1.52510i 0.826674 + 0.562681i \(0.190230\pi\)
−0.271585 + 0.962414i \(0.587548\pi\)
\(360\) −11.7504 + 12.3814i −0.619299 + 0.652558i
\(361\) 4.29164 18.5090i 0.225876 0.974156i
\(362\) 2.26934i 0.119274i
\(363\) −0.289470 + 9.46894i −0.0151932 + 0.496990i
\(364\) 1.15563 + 0.203769i 0.0605715 + 0.0106804i
\(365\) −8.59345 10.2413i −0.449802 0.536053i
\(366\) 29.1045 15.6377i 1.52132 0.817398i
\(367\) −0.382670 2.17023i −0.0199752 0.113285i 0.973190 0.230003i \(-0.0738737\pi\)
−0.993165 + 0.116718i \(0.962763\pi\)
\(368\) −8.35122 + 4.82158i −0.435338 + 0.251342i
\(369\) 10.5227 3.11656i 0.547790 0.162242i
\(370\) −19.1722 6.97813i −0.996717 0.362775i
\(371\) −12.3117 4.48109i −0.639191 0.232646i
\(372\) 5.66535 4.46604i 0.293735 0.231553i
\(373\) −22.9106 + 13.2274i −1.18627 + 0.684891i −0.957456 0.288580i \(-0.906817\pi\)
−0.228810 + 0.973471i \(0.573484\pi\)
\(374\) −1.37595 7.80343i −0.0711489 0.403506i
\(375\) −5.29002 9.84562i −0.273175 0.508425i
\(376\) −10.0816 12.0148i −0.519921 0.619617i
\(377\) −0.208211 0.0367132i −0.0107234 0.00189083i
\(378\) 27.9972 27.7510i 1.44002 1.42736i
\(379\) 29.7135i 1.52628i −0.646234 0.763139i \(-0.723657\pi\)
0.646234 0.763139i \(-0.276343\pi\)
\(380\) −21.9732 27.6511i −1.12720 1.41847i
\(381\) 30.0269 + 11.9801i 1.53832 + 0.613761i
\(382\) −9.07396 24.9305i −0.464264 1.27555i
\(383\) −1.03686 + 5.88035i −0.0529813 + 0.300472i −0.999771 0.0213797i \(-0.993194\pi\)
0.946790 + 0.321852i \(0.104305\pi\)
\(384\) 7.95974 + 24.1401i 0.406194 + 1.23189i
\(385\) 17.0545 + 14.3105i 0.869180 + 0.729328i
\(386\) −26.4214 + 4.65881i −1.34481 + 0.237127i
\(387\) −3.29845 + 13.7369i −0.167670 + 0.698285i
\(388\) 12.8251 + 7.40459i 0.651097 + 0.375911i
\(389\) 4.73660 13.0137i 0.240155 0.659821i −0.759798 0.650159i \(-0.774702\pi\)
0.999953 0.00966178i \(-0.00307549\pi\)
\(390\) −0.831823 + 0.931945i −0.0421210 + 0.0471909i
\(391\) 5.66697 9.81548i 0.286591 0.496390i
\(392\) −4.81211 8.33481i −0.243048 0.420971i
\(393\) −3.50376 + 16.8435i −0.176741 + 0.849642i
\(394\) −3.00176 + 3.57735i −0.151226 + 0.180225i
\(395\) −14.8527 + 12.4629i −0.747319 + 0.627075i
\(396\) −12.2773 16.5930i −0.616957 0.833831i
\(397\) 11.1519 4.05896i 0.559697 0.203713i −0.0466525 0.998911i \(-0.514855\pi\)
0.606350 + 0.795198i \(0.292633\pi\)
\(398\) −12.8414 −0.643682
\(399\) 15.4309 + 20.6858i 0.772513 + 1.03558i
\(400\) 3.44876 0.172438
\(401\) −22.3703 + 8.14211i −1.11712 + 0.406597i −0.833599 0.552370i \(-0.813724\pi\)
−0.283518 + 0.958967i \(0.591502\pi\)
\(402\) −0.358238 + 0.578883i −0.0178673 + 0.0288721i
\(403\) 0.127959 0.107371i 0.00637411 0.00534852i
\(404\) −30.3945 + 36.2228i −1.51218 + 1.80215i
\(405\) 5.60524 + 24.2868i 0.278527 + 1.20682i
\(406\) 6.83483 + 11.8383i 0.339207 + 0.587523i
\(407\) 3.90310 6.76037i 0.193470 0.335099i
\(408\) −4.03038 3.59738i −0.199534 0.178097i
\(409\) −11.2638 + 30.9472i −0.556961 + 1.53024i 0.267060 + 0.963680i \(0.413948\pi\)
−0.824022 + 0.566559i \(0.808275\pi\)
\(410\) 19.4727 + 11.2426i 0.961688 + 0.555231i
\(411\) 1.06780 + 7.36541i 0.0526707 + 0.363309i
\(412\) 21.6630 3.81977i 1.06726 0.188186i
\(413\) −29.3549 24.6317i −1.44446 1.21204i
\(414\) 3.03632 49.6145i 0.149227 2.43842i
\(415\) 0.464421 2.63386i 0.0227976 0.129291i
\(416\) 0.279946 + 0.769145i 0.0137255 + 0.0377104i
\(417\) 11.8530 29.7083i 0.580445 1.45482i
\(418\) 19.9989 10.8462i 0.978177 0.530506i
\(419\) 10.4846i 0.512206i 0.966649 + 0.256103i \(0.0824387\pi\)
−0.966649 + 0.256103i \(0.917561\pi\)
\(420\) 47.9501 + 1.46586i 2.33972 + 0.0715266i
\(421\) 8.46790 + 1.49312i 0.412700 + 0.0727702i 0.376144 0.926561i \(-0.377250\pi\)
0.0365568 + 0.999332i \(0.488361\pi\)
\(422\) −33.7459 40.2168i −1.64272 1.95772i
\(423\) −22.7552 + 2.59181i −1.10640 + 0.126018i
\(424\) 1.36742 + 7.75502i 0.0664078 + 0.376617i
\(425\) −3.51039 + 2.02672i −0.170279 + 0.0983105i
\(426\) −17.4172 22.0944i −0.843867 1.07048i
\(427\) −27.6077 10.0484i −1.33603 0.486274i
\(428\) 38.5764 + 14.0406i 1.86466 + 0.678680i
\(429\) −0.295886 0.375344i −0.0142855 0.0181218i
\(430\) −25.0669 + 14.4724i −1.20883 + 0.697921i
\(431\) 2.37538 + 13.4715i 0.114418 + 0.648897i 0.987037 + 0.160495i \(0.0513090\pi\)
−0.872619 + 0.488402i \(0.837580\pi\)
\(432\) 6.47532 + 1.76574i 0.311544 + 0.0849544i
\(433\) 21.1358 + 25.1887i 1.01572 + 1.21049i 0.977438 + 0.211224i \(0.0677450\pi\)
0.0382849 + 0.999267i \(0.487811\pi\)
\(434\) −10.6359 1.87540i −0.510540 0.0900221i
\(435\) −8.63921 0.264105i −0.414218 0.0126629i
\(436\) 19.9248i 0.954224i
\(437\) 31.8855 + 6.50293i 1.52529 + 0.311077i
\(438\) 6.87657 17.2354i 0.328575 0.823538i
\(439\) −12.9069 35.4614i −0.616012 1.69248i −0.716541 0.697545i \(-0.754276\pi\)
0.100529 0.994934i \(-0.467946\pi\)
\(440\) 2.32357 13.1776i 0.110772 0.628219i
\(441\) −14.0272 0.858438i −0.667960 0.0408780i
\(442\) −0.302857 0.254127i −0.0144054 0.0120876i
\(443\) 5.09078 0.897641i 0.241870 0.0426482i −0.0513989 0.998678i \(-0.516368\pi\)
0.293269 + 0.956030i \(0.405257\pi\)
\(444\) −2.41336 16.6468i −0.114533 0.790020i
\(445\) 27.9290 + 16.1248i 1.32396 + 0.764390i
\(446\) −4.13548 + 11.3621i −0.195820 + 0.538012i
\(447\) 5.47897 + 4.89035i 0.259147 + 0.231305i
\(448\) 22.0452 38.1834i 1.04154 1.80400i
\(449\) 14.3628 + 24.8771i 0.677823 + 1.17402i 0.975635 + 0.219399i \(0.0704098\pi\)
−0.297812 + 0.954625i \(0.596257\pi\)
\(450\) −9.81243 + 14.8238i −0.462562 + 0.698802i
\(451\) −5.52988 + 6.59026i −0.260392 + 0.310323i
\(452\) −17.4407 + 14.6345i −0.820344 + 0.688350i
\(453\) 10.5635 17.0698i 0.496317 0.802007i
\(454\) −6.02411 + 2.19260i −0.282726 + 0.102904i
\(455\) 1.11080 0.0520750
\(456\) 6.12992 14.2484i 0.287060 0.667244i
\(457\) 5.68893 0.266117 0.133058 0.991108i \(-0.457520\pi\)
0.133058 + 0.991108i \(0.457520\pi\)
\(458\) 60.1586 21.8959i 2.81103 1.02313i
\(459\) −7.62870 + 2.00804i −0.356077 + 0.0937271i
\(460\) 46.3390 38.8830i 2.16057 1.81293i
\(461\) 18.8457 22.4594i 0.877732 1.04604i −0.120843 0.992672i \(-0.538560\pi\)
0.998575 0.0533689i \(-0.0169959\pi\)
\(462\) −6.29343 + 30.2541i −0.292797 + 1.40755i
\(463\) 7.50134 + 12.9927i 0.348617 + 0.603822i 0.986004 0.166722i \(-0.0533182\pi\)
−0.637387 + 0.770544i \(0.719985\pi\)
\(464\) −1.16371 + 2.01560i −0.0540237 + 0.0935717i
\(465\) 4.54725 5.09458i 0.210874 0.236255i
\(466\) −2.97870 + 8.18391i −0.137986 + 0.379112i
\(467\) −35.4175 20.4483i −1.63893 0.946235i −0.981203 0.192976i \(-0.938186\pi\)
−0.657724 0.753259i \(-0.728481\pi\)
\(468\) −1.00141 0.240455i −0.0462902 0.0111150i
\(469\) 0.596153 0.105118i 0.0275278 0.00485389i
\(470\) −35.9455 30.1618i −1.65804 1.39126i
\(471\) 4.24234 + 12.8661i 0.195477 + 0.592837i
\(472\) −3.99941 + 22.6818i −0.184088 + 1.04401i
\(473\) −3.78770 10.4066i −0.174158 0.478496i
\(474\) −24.9961 9.97293i −1.14811 0.458072i
\(475\) −8.71283 7.71583i −0.399772 0.354027i
\(476\) 15.1827i 0.695900i
\(477\) 10.5448 + 4.58547i 0.482814 + 0.209954i
\(478\) −1.90954 0.336703i −0.0873403 0.0154004i
\(479\) −15.6062 18.5987i −0.713063 0.849796i 0.280874 0.959745i \(-0.409376\pi\)
−0.993937 + 0.109949i \(0.964931\pi\)
\(480\) 15.8375 + 29.4763i 0.722881 + 1.34540i
\(481\) −0.0676331 0.383566i −0.00308380 0.0174891i
\(482\) −10.3292 + 5.96354i −0.470480 + 0.271632i
\(483\) −34.7122 + 27.3639i −1.57946 + 1.24510i
\(484\) −15.0369 5.47300i −0.683497 0.248773i
\(485\) 13.1730 + 4.79458i 0.598155 + 0.217711i
\(486\) −26.0133 + 22.8090i −1.17999 + 1.03464i
\(487\) 16.1964 9.35100i 0.733930 0.423734i −0.0859284 0.996301i \(-0.527386\pi\)
0.819858 + 0.572567i \(0.194052\pi\)
\(488\) 3.06629 + 17.3898i 0.138805 + 0.787200i
\(489\) −27.0537 + 14.5359i −1.22341 + 0.657334i
\(490\) −18.5080 22.0570i −0.836106 0.996432i
\(491\) 34.3949 + 6.06475i 1.55222 + 0.273698i 0.883003 0.469368i \(-0.155518\pi\)
0.669218 + 0.743066i \(0.266629\pi\)
\(492\) −0.566441 + 18.5290i −0.0255371 + 0.835352i
\(493\) 2.73549i 0.123200i
\(494\) 0.416526 1.05594i 0.0187404 0.0475091i
\(495\) −14.1726 13.4503i −0.637012 0.604545i
\(496\) −0.628913 1.72793i −0.0282390 0.0775861i
\(497\) −4.34422 + 24.6373i −0.194865 + 1.10513i
\(498\) 3.52556 1.16249i 0.157984 0.0520922i
\(499\) 2.90071 + 2.43398i 0.129853 + 0.108960i 0.705401 0.708808i \(-0.250767\pi\)
−0.575548 + 0.817768i \(0.695211\pi\)
\(500\) 18.5925 3.27836i 0.831481 0.146613i
\(501\) −3.29477 + 0.477659i −0.147199 + 0.0213402i
\(502\) −15.4391 8.91377i −0.689081 0.397841i
\(503\) 0.0977650 0.268607i 0.00435912 0.0119766i −0.937494 0.348001i \(-0.886860\pi\)
0.941853 + 0.336025i \(0.109083\pi\)
\(504\) 9.39998 + 18.8551i 0.418708 + 0.839874i
\(505\) −22.3803 + 38.7637i −0.995908 + 1.72496i
\(506\) 19.4829 + 33.7454i 0.866121 + 1.50016i
\(507\) 22.0214 + 4.58087i 0.978005 + 0.203443i
\(508\) −35.1013 + 41.8321i −1.55737 + 1.85600i
\(509\) −3.00696 + 2.52314i −0.133281 + 0.111836i −0.706991 0.707222i \(-0.749948\pi\)
0.573710 + 0.819058i \(0.305504\pi\)
\(510\) −13.7436 8.50516i −0.608578 0.376615i
\(511\) −15.5058 + 5.64363i −0.685934 + 0.249660i
\(512\) 14.3179 0.632766
\(513\) −12.4086 18.9480i −0.547852 0.836575i
\(514\) 22.0073 0.970700
\(515\) 19.5668 7.12173i 0.862216 0.313821i
\(516\) −20.2920 12.5575i −0.893303 0.552815i
\(517\) 13.7530 11.5401i 0.604856 0.507534i
\(518\) −16.1868 + 19.2907i −0.711209 + 0.847585i
\(519\) −26.6146 5.53635i −1.16825 0.243019i
\(520\) −0.333814 0.578183i −0.0146387 0.0253550i
\(521\) −4.18609 + 7.25051i −0.183396 + 0.317651i −0.943035 0.332694i \(-0.892042\pi\)
0.759639 + 0.650345i \(0.225376\pi\)
\(522\) −5.35267 10.7368i −0.234280 0.469935i
\(523\) 1.52796 4.19803i 0.0668130 0.183567i −0.901793 0.432168i \(-0.857749\pi\)
0.968606 + 0.248601i \(0.0799708\pi\)
\(524\) −25.1670 14.5302i −1.09942 0.634753i
\(525\) 15.6443 2.26804i 0.682775 0.0989853i
\(526\) 47.0501 8.29620i 2.05148 0.361732i
\(527\) 1.65560 + 1.38921i 0.0721190 + 0.0605150i
\(528\) −4.99675 + 1.64758i −0.217456 + 0.0717018i
\(529\) −5.68443 + 32.2380i −0.247149 + 1.40165i
\(530\) 8.05768 + 22.1383i 0.350003 + 0.961626i
\(531\) 24.3944 + 23.1511i 1.05863 + 1.00467i
\(532\) −41.3463 + 13.8125i −1.79259 + 0.598846i
\(533\) 0.429237i 0.0185923i
\(534\) −1.36780 + 44.7424i −0.0591904 + 1.93619i
\(535\) 38.2696 + 6.74797i 1.65454 + 0.291740i
\(536\) −0.233870 0.278715i −0.0101016 0.0120387i
\(537\) −23.6030 + 12.6818i −1.01854 + 0.547260i
\(538\) −7.12784 40.4240i −0.307303 1.74280i
\(539\) 9.54059 5.50826i 0.410942 0.237258i
\(540\) −41.9258 3.85469i −1.80420 0.165879i
\(541\) 2.61046 + 0.950130i 0.112232 + 0.0408493i 0.397526 0.917591i \(-0.369869\pi\)
−0.285294 + 0.958440i \(0.592091\pi\)
\(542\) −6.37578 2.32059i −0.273863 0.0996781i
\(543\) 1.39084 1.09641i 0.0596866 0.0470514i
\(544\) −9.17140 + 5.29511i −0.393220 + 0.227026i
\(545\) −3.27515 18.5743i −0.140292 0.795635i
\(546\) 0.729748 + 1.35818i 0.0312303 + 0.0581249i
\(547\) −23.7660 28.3232i −1.01616 1.21101i −0.977320 0.211767i \(-0.932078\pi\)
−0.0388403 0.999245i \(-0.512366\pi\)
\(548\) −12.3804 2.18300i −0.528864 0.0932530i
\(549\) 23.6457 + 10.2824i 1.00917 + 0.438843i
\(550\) 13.9356i 0.594218i
\(551\) 7.44940 2.48860i 0.317355 0.106018i
\(552\) 24.6748 + 9.84477i 1.05023 + 0.419021i
\(553\) 8.18483 + 22.4876i 0.348054 + 0.956271i
\(554\) 10.2725 58.2581i 0.436436 2.47515i
\(555\) −4.98611 15.1218i −0.211649 0.641883i
\(556\) 41.3883 + 34.7289i 1.75526 + 1.47283i
\(557\) −1.21307 + 0.213897i −0.0513994 + 0.00906310i −0.199289 0.979941i \(-0.563863\pi\)
0.147889 + 0.989004i \(0.452752\pi\)
\(558\) 9.21654 + 2.21304i 0.390167 + 0.0936855i
\(559\) −0.478523 0.276276i −0.0202394 0.0116852i
\(560\) 4.18223 11.4906i 0.176731 0.485565i
\(561\) 4.11781 4.61345i 0.173854 0.194780i
\(562\) 27.3349 47.3455i 1.15305 1.99715i
\(563\) −18.4158 31.8971i −0.776134 1.34430i −0.934155 0.356868i \(-0.883845\pi\)
0.158020 0.987436i \(-0.449489\pi\)
\(564\) 7.87868 37.8748i 0.331752 1.59482i
\(565\) −13.8531 + 16.5094i −0.582803 + 0.694557i
\(566\) 18.9372 15.8902i 0.795991 0.667916i
\(567\) 30.5347 + 3.75139i 1.28234 + 0.157544i
\(568\) 14.1295 5.14273i 0.592862 0.215784i
\(569\) 33.1970 1.39169 0.695846 0.718191i \(-0.255029\pi\)
0.695846 + 0.718191i \(0.255029\pi\)
\(570\) 10.6584 45.1648i 0.446430 1.89175i
\(571\) −20.3097 −0.849935 −0.424967 0.905209i \(-0.639714\pi\)
−0.424967 + 0.905209i \(0.639714\pi\)
\(572\) 0.758636 0.276121i 0.0317201 0.0115452i
\(573\) 10.8955 17.6062i 0.455165 0.735510i
\(574\) 21.2597 17.8390i 0.887362 0.744585i
\(575\) 12.8127 15.2696i 0.534328 0.636787i
\(576\) −21.3586 + 32.2669i −0.889943 + 1.34445i
\(577\) −17.7982 30.8274i −0.740949 1.28336i −0.952064 0.305899i \(-0.901043\pi\)
0.211115 0.977461i \(-0.432290\pi\)
\(578\) −16.3072 + 28.2449i −0.678291 + 1.17483i
\(579\) −15.6206 13.9424i −0.649168 0.579426i
\(580\) 4.99342 13.7193i 0.207340 0.569663i
\(581\) −2.85877 1.65051i −0.118602 0.0684749i
\(582\) 2.79172 + 19.2566i 0.115721 + 0.798211i
\(583\) −8.87693 + 1.56524i −0.367645 + 0.0648257i
\(584\) 7.59733 + 6.37492i 0.314380 + 0.263796i
\(585\) −0.973061 0.0595496i −0.0402311 0.00246207i
\(586\) 10.9570 62.1403i 0.452630 2.56699i
\(587\) 1.44221 + 3.96244i 0.0595265 + 0.163548i 0.965891 0.258949i \(-0.0833761\pi\)
−0.906365 + 0.422496i \(0.861154\pi\)
\(588\) 8.79682 22.0483i 0.362775 0.909256i
\(589\) −2.27698 + 5.77243i −0.0938215 + 0.237849i
\(590\) 68.9053i 2.83679i
\(591\) −3.64277 0.111361i −0.149844 0.00458079i
\(592\) −4.22242 0.744526i −0.173540 0.0305998i
\(593\) −4.95391 5.90384i −0.203433 0.242442i 0.654676 0.755910i \(-0.272805\pi\)
−0.858109 + 0.513468i \(0.828361\pi\)
\(594\) 7.13497 26.1653i 0.292751 1.07357i
\(595\) 2.49567 + 14.1537i 0.102313 + 0.580244i
\(596\) −10.7432 + 6.20259i −0.440059 + 0.254068i
\(597\) −6.20420 7.87028i −0.253921 0.322109i
\(598\) 1.82692 + 0.664943i 0.0747081 + 0.0271915i
\(599\) −25.3361 9.22158i −1.03520 0.376783i −0.232144 0.972681i \(-0.574574\pi\)
−0.803060 + 0.595898i \(0.796796\pi\)
\(600\) −5.88194 7.46148i −0.240129 0.304614i
\(601\) 9.17267 5.29585i 0.374161 0.216022i −0.301114 0.953588i \(-0.597358\pi\)
0.675275 + 0.737566i \(0.264025\pi\)
\(602\) 6.20366 + 35.1827i 0.252842 + 1.43394i
\(603\) −0.527867 + 0.0601239i −0.0214964 + 0.00244843i
\(604\) 21.7957 + 25.9751i 0.886853 + 1.05691i
\(605\) −14.9174 2.63033i −0.606477 0.106938i
\(606\) −62.0997 1.89842i −2.52263 0.0771180i
\(607\) 20.9280i 0.849442i 0.905324 + 0.424721i \(0.139628\pi\)
−0.905324 + 0.424721i \(0.860372\pi\)
\(608\) −22.7635 20.1587i −0.923183 0.817545i
\(609\) −3.95329 + 9.90850i −0.160196 + 0.401513i
\(610\) 18.0685 + 49.6428i 0.731572 + 2.00998i
\(611\) 0.155547 0.882153i 0.00629277 0.0356881i
\(612\) 0.813943 13.3001i 0.0329017 0.537625i
\(613\) −5.91704 4.96499i −0.238987 0.200534i 0.515426 0.856934i \(-0.327634\pi\)
−0.754413 + 0.656400i \(0.772078\pi\)
\(614\) −2.70081 + 0.476225i −0.108996 + 0.0192189i
\(615\) 2.51767 + 17.3662i 0.101522 + 0.700274i
\(616\) −14.3029 8.25778i −0.576280 0.332715i
\(617\) −2.76356 + 7.59281i −0.111257 + 0.305675i −0.982808 0.184629i \(-0.940892\pi\)
0.871552 + 0.490303i \(0.163114\pi\)
\(618\) 21.5624 + 19.2458i 0.867366 + 0.774181i
\(619\) 20.8358 36.0886i 0.837460 1.45052i −0.0545523 0.998511i \(-0.517373\pi\)
0.892012 0.452012i \(-0.149293\pi\)
\(620\) 5.76743 + 9.98948i 0.231625 + 0.401187i
\(621\) 31.8749 22.1099i 1.27909 0.887239i
\(622\) −21.3123 + 25.3991i −0.854547 + 1.01841i
\(623\) 30.4920 25.5858i 1.22164 1.02508i
\(624\) −0.138141 + 0.223225i −0.00553007 + 0.00893613i
\(625\) 29.3382 10.6782i 1.17353 0.427130i
\(626\) −56.7537 −2.26834
\(627\) 16.3097 + 7.01672i 0.651348 + 0.280221i
\(628\) −22.8837 −0.913159
\(629\) 4.73541 1.72355i 0.188813 0.0687223i
\(630\) 37.4907 + 50.6696i 1.49367 + 2.01872i
\(631\) −14.6394 + 12.2839i −0.582786 + 0.489016i −0.885861 0.463951i \(-0.846431\pi\)
0.303075 + 0.952967i \(0.401987\pi\)
\(632\) 9.24539 11.0182i 0.367762 0.438282i
\(633\) 8.34418 40.1126i 0.331651 1.59433i
\(634\) 35.0255 + 60.6660i 1.39104 + 2.40935i
\(635\) −25.8460 + 44.7666i −1.02567 + 1.77651i
\(636\) −12.9337 + 14.4905i −0.512855 + 0.574585i
\(637\) 0.187995 0.516511i 0.00744862 0.0204649i
\(638\) 8.14456 + 4.70227i 0.322446 + 0.186165i
\(639\) 5.12635 21.3494i 0.202795 0.844571i
\(640\) −40.0257 + 7.05761i −1.58215 + 0.278976i
\(641\) 25.7120 + 21.5750i 1.01556 + 0.852159i 0.989064 0.147489i \(-0.0471192\pi\)
0.0265004 + 0.999649i \(0.491564\pi\)
\(642\) 16.8907 + 51.2258i 0.666624 + 2.02172i
\(643\) −0.140117 + 0.794641i −0.00552566 + 0.0313376i −0.987446 0.157957i \(-0.949509\pi\)
0.981920 + 0.189295i \(0.0606202\pi\)
\(644\) −25.5359 70.1594i −1.00626 2.76467i
\(645\) −20.9807 8.37090i −0.826116 0.329604i
\(646\) 14.3905 + 2.93490i 0.566188 + 0.115472i
\(647\) 25.4029i 0.998690i −0.866403 0.499345i \(-0.833574\pi\)
0.866403 0.499345i \(-0.166426\pi\)
\(648\) −7.22358 17.0210i −0.283769 0.668650i
\(649\) −25.9631 4.57800i −1.01914 0.179702i
\(650\) −0.446934 0.532635i −0.0175302 0.0208917i
\(651\) −3.98924 7.42466i −0.156351 0.290995i
\(652\) −9.00824 51.0883i −0.352790 2.00077i
\(653\) −38.7229 + 22.3567i −1.51534 + 0.874884i −0.515505 + 0.856886i \(0.672396\pi\)
−0.999838 + 0.0179975i \(0.994271\pi\)
\(654\) 20.5593 16.2071i 0.803934 0.633747i
\(655\) −25.8496 9.40847i −1.01003 0.367619i
\(656\) 4.44022 + 1.61611i 0.173361 + 0.0630984i
\(657\) 13.8856 4.11257i 0.541730 0.160447i
\(658\) −50.1566 + 28.9579i −1.95531 + 1.12890i
\(659\) 4.52313 + 25.6520i 0.176196 + 0.999258i 0.936754 + 0.349988i \(0.113814\pi\)
−0.760558 + 0.649270i \(0.775074\pi\)
\(660\) 29.0736 15.6211i 1.13169 0.608051i
\(661\) −9.92400 11.8270i −0.385999 0.460016i 0.537699 0.843137i \(-0.319294\pi\)
−0.923698 + 0.383121i \(0.874849\pi\)
\(662\) 32.0317 + 5.64806i 1.24495 + 0.219518i
\(663\) 0.00942778 0.308395i 0.000366145 0.0119771i
\(664\) 1.98403i 0.0769955i
\(665\) −36.2735 + 19.6726i −1.40662 + 0.762871i
\(666\) 15.2139 16.0309i 0.589525 0.621186i
\(667\) 4.60083 + 12.6407i 0.178145 + 0.489449i
\(668\) 0.976520 5.53812i 0.0377827 0.214276i
\(669\) −8.96167 + 2.95494i −0.346478 + 0.114245i
\(670\) −0.833848 0.699682i −0.0322144 0.0270311i
\(671\) −19.9056 + 3.50989i −0.768446 + 0.135498i
\(672\) 40.8731 5.92558i 1.57671 0.228584i
\(673\) 10.6310 + 6.13783i 0.409796 + 0.236596i 0.690702 0.723139i \(-0.257302\pi\)
−0.280906 + 0.959735i \(0.590635\pi\)
\(674\) −9.79761 + 26.9187i −0.377390 + 1.03687i
\(675\) −13.8261 + 1.14812i −0.532165 + 0.0441910i
\(676\) −18.9969 + 32.9036i −0.730651 + 1.26552i
\(677\) −8.46982 14.6702i −0.325522 0.563820i 0.656096 0.754677i \(-0.272207\pi\)
−0.981618 + 0.190857i \(0.938873\pi\)
\(678\) −29.2871 6.09228i −1.12477 0.233973i
\(679\) 11.1218 13.2544i 0.426814 0.508657i
\(680\) 6.61716 5.55245i 0.253756 0.212927i
\(681\) −4.25430 2.63274i −0.163025 0.100887i
\(682\) −6.98215 + 2.54129i −0.267360 + 0.0973112i
\(683\) −31.1308 −1.19119 −0.595593 0.803287i \(-0.703083\pi\)
−0.595593 + 0.803287i \(0.703083\pi\)
\(684\) 36.9599 9.88318i 1.41320 0.377893i
\(685\) −11.9001 −0.454679
\(686\) 16.5072 6.00815i 0.630249 0.229392i
\(687\) 42.4847 + 26.2914i 1.62089 + 1.00308i
\(688\) −4.65959 + 3.90986i −0.177645 + 0.149062i
\(689\) −0.289087 + 0.344520i −0.0110133 + 0.0131252i
\(690\) 77.8141 + 16.1868i 2.96233 + 0.616221i
\(691\) 3.11327 + 5.39234i 0.118434 + 0.205134i 0.919147 0.393914i \(-0.128879\pi\)
−0.800713 + 0.599048i \(0.795546\pi\)
\(692\) 22.9593 39.7667i 0.872782 1.51170i
\(693\) −21.5829 + 10.7599i −0.819865 + 0.408733i
\(694\) −5.82532 + 16.0049i −0.221126 + 0.607540i
\(695\) 44.2917 + 25.5718i 1.68008 + 0.969994i
\(696\) 6.34552 0.919942i 0.240526 0.0348703i
\(697\) −5.46930 + 0.964384i −0.207164 + 0.0365287i
\(698\) 8.14291 + 6.83271i 0.308214 + 0.258622i
\(699\) −6.45491 + 2.12838i −0.244147 + 0.0805029i
\(700\) −4.63675 + 26.2963i −0.175253 + 0.993906i
\(701\) −0.663693 1.82348i −0.0250673 0.0688719i 0.926528 0.376226i \(-0.122779\pi\)
−0.951595 + 0.307354i \(0.900556\pi\)
\(702\) −0.566448 1.22889i −0.0213792 0.0463816i
\(703\) 9.00167 + 11.3277i 0.339504 + 0.427231i
\(704\) 30.3336i 1.14324i
\(705\) 1.11897 36.6028i 0.0421427 1.37854i
\(706\) −66.2706 11.6853i −2.49413 0.439782i
\(707\) 35.5116 + 42.3210i 1.33555 + 1.59165i
\(708\) −50.0424 + 26.8876i −1.88071 + 1.01050i
\(709\) 5.57773 + 31.6329i 0.209476 + 1.18800i 0.890239 + 0.455494i \(0.150538\pi\)
−0.680762 + 0.732504i \(0.738351\pi\)
\(710\) 38.9582 22.4925i 1.46208 0.844130i
\(711\) −5.96437 20.1380i −0.223681 0.755234i
\(712\) −22.4811 8.18246i −0.842516 0.306651i
\(713\) −9.98703 3.63498i −0.374017 0.136131i
\(714\) −15.6663 + 12.3498i −0.586296 + 0.462181i
\(715\) 0.661828 0.382107i 0.0247510 0.0142900i
\(716\) −7.85923 44.5719i −0.293713 1.66573i
\(717\) −0.716216 1.33300i −0.0267476 0.0497818i
\(718\) −43.8692 52.2813i −1.63718 1.95112i
\(719\) −11.9507 2.10723i −0.445685 0.0785864i −0.0536985 0.998557i \(-0.517101\pi\)
−0.391987 + 0.919971i \(0.628212\pi\)
\(720\) −4.27964 + 9.84155i −0.159493 + 0.366773i
\(721\) 25.7005i 0.957136i
\(722\) 5.09931 + 41.8590i 0.189777 + 1.55783i
\(723\) −8.64539 3.44934i −0.321526 0.128282i
\(724\) 1.02317 + 2.81113i 0.0380257 + 0.104475i
\(725\) 0.835407 4.73783i 0.0310262 0.175958i
\(726\) −6.58395 19.9676i −0.244353 0.741069i
\(727\) 31.3986 + 26.3465i 1.16451 + 0.977139i 0.999957 0.00922935i \(-0.00293784\pi\)
0.164552 + 0.986368i \(0.447382\pi\)
\(728\) −0.811510 + 0.143091i −0.0300766 + 0.00530331i
\(729\) −26.5474 4.92318i −0.983236 0.182340i
\(730\) 25.6959 + 14.8356i 0.951049 + 0.549089i
\(731\) 2.44516 6.71801i 0.0904374 0.248475i
\(732\) −29.0025 + 32.4934i −1.07196 + 1.20099i
\(733\) 7.55658 13.0884i 0.279109 0.483430i −0.692055 0.721845i \(-0.743294\pi\)
0.971163 + 0.238415i \(0.0766277\pi\)
\(734\) 2.44544 + 4.23563i 0.0902630 + 0.156340i
\(735\) 4.57638 21.9998i 0.168802 0.811477i
\(736\) 33.4751 39.8941i 1.23391 1.47052i
\(737\) 0.319036 0.267703i 0.0117519 0.00986098i
\(738\) −19.5799 + 14.4873i −0.720745 + 0.533284i
\(739\) 44.2024 16.0884i 1.62601 0.591820i 0.641498 0.767125i \(-0.278313\pi\)
0.984514 + 0.175304i \(0.0560910\pi\)
\(740\) 26.8957 0.988706
\(741\) 0.848411 0.254887i 0.0311671 0.00936352i
\(742\) 29.0781 1.06749
\(743\) −36.8666 + 13.4183i −1.35250 + 0.492271i −0.913728 0.406326i \(-0.866810\pi\)
−0.438775 + 0.898597i \(0.644588\pi\)
\(744\) −2.66578 + 4.30769i −0.0977324 + 0.157928i
\(745\) −8.99548 + 7.54811i −0.329569 + 0.276541i
\(746\) 37.7405 44.9773i 1.38178 1.64674i
\(747\) 2.41581 + 1.59911i 0.0883898 + 0.0585084i
\(748\) 5.22276 + 9.04608i 0.190963 + 0.330757i
\(749\) 23.9817 41.5375i 0.876273 1.51775i
\(750\) 18.5062 + 16.5180i 0.675749 + 0.603151i
\(751\) 3.88517 10.6744i 0.141772 0.389515i −0.848403 0.529351i \(-0.822435\pi\)
0.990175 + 0.139836i \(0.0446575\pi\)
\(752\) −8.53972 4.93041i −0.311412 0.179794i
\(753\) −1.99616 13.7690i −0.0727440 0.501769i
\(754\) 0.462102 0.0814810i 0.0168288 0.00296736i
\(755\) 24.5880 + 20.6318i 0.894850 + 0.750868i
\(756\) −22.1694 + 46.9994i −0.806294 + 1.70935i
\(757\) −5.58358 + 31.6660i −0.202939 + 1.15092i 0.697712 + 0.716378i \(0.254201\pi\)
−0.900651 + 0.434544i \(0.856910\pi\)
\(758\) 22.5548 + 61.9688i 0.819227 + 2.25081i
\(759\) −11.2690 + 28.2445i −0.409038 + 1.02521i
\(760\) 21.1406 + 12.9688i 0.766851 + 0.470428i
\(761\) 10.4640i 0.379320i −0.981850 0.189660i \(-0.939261\pi\)
0.981850 0.189660i \(-0.0607385\pi\)
\(762\) −71.7163 2.19240i −2.59801 0.0794224i
\(763\) −22.9255 4.04239i −0.829960 0.146344i
\(764\) 22.4806 + 26.7914i 0.813320 + 0.969278i