Properties

Label 57.2.j.b.53.1
Level 57
Weight 2
Character 57.53
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 53.1
Character \(\chi\) = 57.53
Dual form 57.2.j.b.14.1

$q$-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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{18}\right)\)

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 −0.525331 0.850898i \(-0.676058\pi\)
−0.949373 + 0.314150i \(0.898281\pi\)
\(3\) −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 0.999541 0.0303104i \(-0.00964959\pi\)
−0.203418 + 0.979092i \(0.565205\pi\)
\(6\) 3.76353 0.782886i 1.53646 0.319612i
\(7\) −1.70913 + 2.96030i −0.645990 + 1.11889i 0.338082 + 0.941117i \(0.390222\pi\)
−0.984072 + 0.177770i \(0.943112\pi\)
\(8\) −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 −0.774557 0.632504i \(-0.782027\pi\)
0.160486 + 0.987038i \(0.448694\pi\)
\(12\) −5.01503 0.727055i −1.44772 0.209883i
\(13\) −0.115554 0.0203753i −0.0320489 0.00565108i 0.157601 0.987503i \(-0.449624\pi\)
−0.189650 + 0.981852i \(0.560735\pi\)
\(14\) 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 −0.986597 0.163174i \(-0.947827\pi\)
0.860663 + 0.509174i \(0.170049\pi\)
\(18\) −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 0.0193576 0.999813i \(-0.493838\pi\)
0.981262 0.192679i \(-0.0617177\pi\)
\(24\) 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 −0.179991 0.983668i \(-0.557607\pi\)
0.494408 + 0.869230i \(0.335385\pi\)
\(30\) 8.36070 + 6.59081i 1.52645 + 1.20331i
\(31\) −1.23287 0.711795i −0.221429 0.127842i 0.385183 0.922840i \(-0.374138\pi\)
−0.606612 + 0.794998i \(0.707472\pi\)
\(32\) −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 \(-0.912034\pi\)
0.962056 0.272851i \(-0.0879665\pi\)
\(38\) −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 0.993377 + 0.114903i \(0.0366557\pi\)
−0.894170 + 0.447728i \(0.852233\pi\)
\(42\) −4.11479 + 12.4792i −0.634925 + 1.92559i
\(43\) 3.60739 3.02696i 0.550122 0.461607i −0.324860 0.945762i \(-0.605317\pi\)
0.874982 + 0.484155i \(0.160873\pi\)
\(44\) −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 −0.970996 0.239094i \(-0.923149\pi\)
0.590139 0.807301i \(-0.299073\pi\)
\(48\) 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 0.821773 0.569815i \(-0.192985\pi\)
−0.418459 + 0.908236i \(0.637430\pi\)
\(54\) 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 0.919576 0.392911i \(-0.128532\pi\)
0.451878 + 0.892080i \(0.350754\pi\)
\(60\) −7.38520 11.9339i −0.953426 1.54066i
\(61\) 6.58405 + 5.52467i 0.843001 + 0.707362i 0.958237 0.285976i \(-0.0923178\pi\)
−0.115236 + 0.993338i \(0.536762\pi\)
\(62\) 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 0.935938 0.352165i \(-0.114555\pi\)
−0.943338 + 0.331835i \(0.892332\pi\)
\(68\) −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 −0.911690 0.410878i \(-0.865222\pi\)
0.246322 + 0.969188i \(0.420778\pi\)
\(72\) −6.15197 + 0.376489i −0.725016 + 0.0443697i
\(73\) 0.838249 + 4.75394i 0.0981096 + 0.556407i 0.993750 + 0.111628i \(0.0356066\pi\)
−0.895640 + 0.444779i \(0.853282\pi\)
\(74\) −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 −0.547462 0.836830i \(-0.684406\pi\)
−0.228233 + 0.973606i \(0.573295\pi\)
\(80\) 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 0.545197 0.838308i \(-0.316455\pi\)
−0.453398 + 0.891308i \(0.649788\pi\)
\(84\) 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 −0.667709 0.744423i \(-0.732725\pi\)
0.882048 0.471159i \(-0.156164\pi\)
\(90\) −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 −0.820247 0.572009i \(-0.806164\pi\)
0.996026 + 0.0890602i \(0.0283864\pi\)
\(98\) 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 −0.688644 0.725099i \(-0.741794\pi\)
−0.895113 + 0.445840i \(0.852905\pi\)
\(102\) −0.837311 + 5.77555i −0.0829061 + 0.571865i
\(103\) 6.51129 3.75930i 0.641577 0.370414i −0.143645 0.989629i \(-0.545882\pi\)
0.785222 + 0.619215i \(0.212549\pi\)
\(104\) 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 −0.297270 0.954794i \(-0.596076\pi\)
0.975510 0.219954i \(-0.0705906\pi\)
\(108\) −8.66465 + 12.4915i −0.833756 + 1.20199i
\(109\) 4.37755 + 5.21696i 0.419293 + 0.499694i 0.933802 0.357791i \(-0.116470\pi\)
−0.514508 + 0.857485i \(0.672026\pi\)
\(110\) 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 −0.718203 0.695833i \(-0.755035\pi\)
−0.912879 + 0.408230i \(0.866146\pi\)
\(128\) −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 0.698212 + 0.715891i \(0.253979\pi\)
−0.995027 + 0.0996023i \(0.968243\pi\)
\(132\) 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 −0.871015 0.491256i \(-0.836538\pi\)
0.635043 + 0.772477i \(0.280982\pi\)
\(138\) 13.5831 25.2805i 1.15627 2.15202i
\(139\) 3.20674 18.1863i 0.271992 1.54255i −0.476364 0.879248i \(-0.658045\pi\)
0.748356 0.663297i \(-0.230844\pi\)
\(140\) −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 −0.342051 0.939682i \(-0.611121\pi\)
−3.24291e−5 1.00000i \(0.500010\pi\)
\(150\) 0.313620 + 10.2589i 0.0256069 + 0.837635i
\(151\) 11.5897i 0.943157i −0.881824 0.471579i \(-0.843684\pi\)
0.881824 0.471579i \(-0.156316\pi\)
\(152\) 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 −0.849771 0.527151i \(-0.823260\pi\)
0.371581 + 0.928400i \(0.378816\pi\)
\(158\) 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 0.970379 + 0.241587i \(0.0776679\pi\)
−0.275969 + 0.961166i \(0.588999\pi\)
\(164\) −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 0.697978 0.716120i \(-0.254083\pi\)
−0.584038 + 0.811727i \(0.698528\pi\)
\(168\) −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 0.835126 0.550058i \(-0.185395\pi\)
0.286173 + 0.958178i \(0.407617\pi\)
\(174\) 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 0.995694 + 0.0926997i \(0.0295497\pi\)
−0.417567 + 0.908646i \(0.637117\pi\)
\(180\) 21.7544 + 10.8454i 1.62148 + 0.808367i
\(181\) −0.349717 0.960840i −0.0259943 0.0714186i 0.926017 0.377482i \(-0.123210\pi\)
−0.952011 + 0.306064i \(0.900988\pi\)
\(182\) −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 \(-0.857639\pi\)
0.901644 0.432478i \(-0.142361\pi\)
\(192\) 0.682653 + 22.3304i 0.0492662 + 1.61156i
\(193\) 11.9048 2.09914i 0.856926 0.151099i 0.272111 0.962266i \(-0.412278\pi\)
0.584815 + 0.811167i \(0.301167\pi\)
\(194\) −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 0.563508 0.826111i \(-0.309451\pi\)
−0.433679 + 0.901067i \(0.642785\pi\)
\(198\) 4.44661 15.0135i 0.316007 1.06696i
\(199\) 5.43706 1.97893i 0.385423 0.140283i −0.142039 0.989861i \(-0.545366\pi\)
0.527462 + 0.849578i \(0.323144\pi\)
\(200\) 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 −0.267046 0.963684i \(-0.586047\pi\)
0.824013 0.566571i \(-0.191730\pi\)
\(212\) 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 0.870445 0.492266i \(-0.163831\pi\)
−0.635938 + 0.771740i \(0.719387\pi\)
\(224\) −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 0.842313 0.538989i \(-0.181194\pi\)
−0.677067 + 0.735922i \(0.736749\pi\)
\(234\) 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 −0.475330 0.879808i \(-0.657671\pi\)
0.524271 + 0.851552i \(0.324338\pi\)
\(240\) −0.888973 + 6.13190i −0.0573829 + 0.395813i
\(241\) 5.29239 + 0.933191i 0.340913 + 0.0601121i 0.341484 0.939888i \(-0.389071\pi\)
−0.000570854 1.00000i \(0.500182\pi\)
\(242\) 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 −0.578069 0.815988i \(-0.696194\pi\)
0.903972 + 0.427592i \(0.140638\pi\)
\(252\) −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 −0.615870 0.787848i \(-0.711195\pi\)
0.0346349 + 0.999400i \(0.488973\pi\)
\(258\) 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 −0.783500 0.621392i \(-0.786567\pi\)
−0.523720 + 0.851890i \(0.675456\pi\)
\(264\) −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 −0.911252 0.411849i \(-0.864883\pi\)
0.715436 0.698678i \(-0.246228\pi\)
\(270\) 28.8861 13.6255i 1.75795 0.829219i
\(271\) 2.34190 1.96508i 0.142260 0.119370i −0.568881 0.822420i \(-0.692623\pi\)
0.711141 + 0.703050i \(0.248179\pi\)
\(272\) 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 −0.919118 0.393982i \(-0.871097\pi\)
0.118361 0.992971i \(-0.462236\pi\)
\(278\) −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 −0.126803 0.991928i \(-0.540471\pi\)
−0.998877 + 0.0473703i \(0.984916\pi\)
\(282\) −15.4429 24.9544i −0.919610 1.48602i
\(283\) −10.4668 3.80961i −0.622187 0.226458i 0.0116400 0.999932i \(-0.496295\pi\)
−0.633827 + 0.773475i \(0.718517\pi\)
\(284\) −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 −0.897666 0.440677i \(-0.854738\pi\)
0.0671953 0.997740i \(-0.478595\pi\)
\(294\) −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 −0.138814 0.990319i \(-0.544329\pi\)
0.208267 + 0.978072i \(0.433218\pi\)
\(308\) 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 0.819750 0.572721i \(-0.194112\pi\)
−0.0861156 + 0.996285i \(0.527445\pi\)
\(312\) −0.327906 0.258491i −0.0185640 0.0146342i
\(313\) 24.0296 8.74606i 1.35823 0.494356i 0.442725 0.896657i \(-0.354012\pi\)
0.915507 + 0.402301i \(0.131789\pi\)
\(314\) 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 0.302003 + 0.953307i \(0.402345\pi\)
−0.609840 + 0.792525i \(0.708766\pi\)
\(318\) 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 −0.806456 0.591294i \(-0.798617\pi\)
0.108848 + 0.994058i \(0.465284\pi\)
\(332\) 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 0.943120 0.332453i \(-0.107876\pi\)
−0.491173 + 0.871062i \(0.663432\pi\)
\(338\) 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 0.882022 0.471208i \(-0.156182\pi\)
−0.617211 + 0.786798i \(0.711737\pi\)
\(348\) −8.93945 + 1.85957i −0.479205 + 0.0996836i
\(349\) −2.39476 + 4.14784i −0.128188 + 0.222029i −0.922975 0.384860i \(-0.874250\pi\)
0.794786 + 0.606889i \(0.207583\pi\)
\(350\) 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 0.403447 0.915003i \(-0.367812\pi\)
0.994139 + 0.108106i \(0.0344786\pi\)
\(354\) 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 −0.271585 0.962414i \(-0.587548\pi\)
0.826674 0.562681i \(-0.190230\pi\)
\(360\) −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 −0.993165 0.116718i \(-0.962763\pi\)
0.973190 + 0.230003i \(0.0738737\pi\)
\(368\) −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 −0.228810 0.973471i \(-0.573484\pi\)
−0.957456 + 0.288580i \(0.906817\pi\)
\(374\) −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 \(0.276343\pi\)
−0.646234 + 0.763139i \(0.723657\pi\)
\(380\) −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 0.946790 0.321852i \(-0.104305\pi\)
−0.999771 + 0.0213797i \(0.993194\pi\)
\(384\) 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 0.999953 + 0.00966178i \(0.00307549\pi\)
−0.759798 + 0.650159i \(0.774702\pi\)
\(390\) −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 0.606350 0.795198i \(-0.292633\pi\)
−0.0466525 + 0.998911i \(0.514855\pi\)
\(398\) −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 −0.283518 0.958967i \(-0.591502\pi\)
−0.833599 + 0.552370i \(0.813724\pi\)
\(402\) −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 −0.824022 0.566559i \(-0.808275\pi\)
0.267060 0.963680i \(-0.413948\pi\)
\(410\) 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 \(-0.917561\pi\)
0.966649 0.256103i \(-0.0824387\pi\)
\(420\) 47.9501 1.46586i 2.33972 0.0715266i
\(421\) 8.46790 1.49312i 0.412700 0.0727702i 0.0365568 0.999332i \(-0.488361\pi\)
0.376144 + 0.926561i \(0.377250\pi\)
\(422\) −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 −0.872619 0.488402i \(-0.837580\pi\)
0.987037 0.160495i \(-0.0513090\pi\)
\(432\) 6.47532 1.76574i 0.311544 0.0849544i
\(433\) 21.1358 25.1887i 1.01572 1.21049i 0.0382849 0.999267i \(-0.487811\pi\)
0.977438 0.211224i \(-0.0677450\pi\)
\(434\) −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 0.100529 + 0.994934i \(0.467946\pi\)
−0.716541 + 0.697545i \(0.754276\pi\)
\(440\) 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 0.293269 0.956030i \(-0.405257\pi\)
−0.0513989 + 0.998678i \(0.516368\pi\)
\(444\) −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 −0.297812 0.954625i \(-0.596257\pi\)
0.975635 0.219399i \(-0.0704098\pi\)
\(450\) −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 0.998575 + 0.0533689i \(0.0169959\pi\)
−0.120843 + 0.992672i \(0.538560\pi\)
\(462\) −6.29343 30.2541i −0.292797 1.40755i
\(463\) 7.50134 12.9927i 0.348617 0.603822i −0.637387 0.770544i \(-0.719985\pi\)
0.986004 + 0.166722i \(0.0533182\pi\)
\(464\) −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 −0.657724 + 0.753259i \(0.728481\pi\)
−0.981203 + 0.192976i \(0.938186\pi\)
\(468\) −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 −0.993937 0.109949i \(-0.964931\pi\)
0.280874 + 0.959745i \(0.409376\pi\)
\(480\) 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 0.819858 0.572567i \(-0.194052\pi\)
−0.0859284 + 0.996301i \(0.527386\pi\)
\(488\) 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 0.669218 0.743066i \(-0.266629\pi\)
0.883003 + 0.469368i \(0.155518\pi\)
\(492\) −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 −0.575548 0.817768i \(-0.695211\pi\)
0.705401 + 0.708808i \(0.250767\pi\)
\(500\) 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 0.941853 0.336025i \(-0.109083\pi\)
−0.937494 + 0.348001i \(0.886860\pi\)
\(504\) 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 0.573710 0.819058i \(-0.305504\pi\)
−0.706991 + 0.707222i \(0.749948\pi\)
\(510\) −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 0.759639 0.650345i \(-0.225376\pi\)
−0.943035 + 0.332694i \(0.892042\pi\)
\(522\) −5.35267 + 10.7368i −0.234280 + 0.469935i
\(523\) 1.52796 + 4.19803i 0.0668130 + 0.183567i 0.968606 0.248601i \(-0.0799708\pi\)
−0.901793 + 0.432168i \(0.857749\pi\)
\(524\) −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 −0.285294 0.958440i \(-0.592091\pi\)
0.397526 + 0.917591i \(0.369869\pi\)
\(542\) −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 −0.0388403 + 0.999245i \(0.512366\pi\)
−0.977320 + 0.211767i \(0.932078\pi\)
\(548\) −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 0.147889 0.989004i \(-0.452752\pi\)
−0.199289 + 0.979941i \(0.563863\pi\)
\(558\) 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 0.158020 + 0.987436i \(0.449489\pi\)
−0.934155 + 0.356868i \(0.883845\pi\)
\(564\) 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 0.211115 + 0.977461i \(0.432290\pi\)
−0.952064 + 0.305899i \(0.901043\pi\)
\(578\) −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 −0.906365 0.422496i \(-0.861154\pi\)
0.965891 + 0.258949i \(0.0833761\pi\)
\(588\) 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 −0.858109 0.513468i \(-0.828361\pi\)
0.654676 + 0.755910i \(0.272805\pi\)
\(594\) 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 −0.803060 0.595898i \(-0.796796\pi\)
−0.232144 + 0.972681i \(0.574574\pi\)
\(600\) −5.88194 + 7.46148i −0.240129 + 0.304614i
\(601\) 9.17267 + 5.29585i 0.374161 + 0.216022i 0.675275 0.737566i \(-0.264025\pi\)
−0.301114 + 0.953588i \(0.597358\pi\)
\(602\) 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 \(-0.860372\pi\)
0.905324 0.424721i \(-0.139628\pi\)
\(608\) −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 −0.754413 0.656400i \(-0.772078\pi\)
0.515426 + 0.856934i \(0.327634\pi\)
\(614\) −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 0.871552 0.490303i \(-0.163114\pi\)
−0.982808 + 0.184629i \(0.940892\pi\)
\(618\) 21.5624 19.2458i 0.867366 0.774181i
\(619\) 20.8358 + 36.0886i 0.837460 + 1.45052i 0.892012 + 0.452012i \(0.149293\pi\)
−0.0545523 + 0.998511i \(0.517373\pi\)
\(620\) 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 0.303075 0.952967i \(-0.401987\pi\)
−0.885861 + 0.463951i \(0.846431\pi\)
\(632\) 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 0.0265004 0.999649i \(-0.491564\pi\)
0.989064 + 0.147489i \(0.0471192\pi\)
\(642\) 16.8907 51.2258i 0.666624 2.02172i
\(643\) −0.140117 0.794641i −0.00552566 0.0313376i 0.981920 0.189295i \(-0.0606202\pi\)
−0.987446 + 0.157957i \(0.949509\pi\)
\(644\) −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 \(0.166426\pi\)
−0.866403 + 0.499345i \(0.833574\pi\)
\(648\) −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 −0.999838 0.0179975i \(-0.994271\pi\)
−0.515505 0.856886i \(-0.672396\pi\)
\(654\) 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 −0.760558 0.649270i \(-0.775074\pi\)
0.936754 0.349988i \(-0.113814\pi\)
\(660\) 29.0736 + 15.6211i 1.13169 + 0.608051i
\(661\) −9.92400 + 11.8270i −0.385999 + 0.460016i −0.923698 0.383121i \(-0.874849\pi\)
0.537699 + 0.843137i \(0.319294\pi\)
\(662\) 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 −0.280906 0.959735i \(-0.590635\pi\)
0.690702 + 0.723139i \(0.257302\pi\)
\(674\) −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 −0.981618 0.190857i \(-0.938873\pi\)
0.656096 + 0.754677i \(0.272207\pi\)
\(678\) −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 −0.800713 0.599048i \(-0.795546\pi\)
0.919147 + 0.393914i \(0.128879\pi\)
\(692\) 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 −0.951595 0.307354i \(-0.900556\pi\)
0.926528 + 0.376226i \(0.122779\pi\)
\(702\) −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 −0.680762 0.732504i \(-0.738351\pi\)
0.890239 0.455494i \(-0.150538\pi\)
\(710\) 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 −0.391987 0.919971i \(-0.628212\pi\)
−0.0536985 + 0.998557i \(0.517101\pi\)
\(720\) −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 0.164552 0.986368i \(-0.447382\pi\)
0.999957 + 0.00922935i \(0.00293784\pi\)
\(728\) −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 0.971163 0.238415i \(-0.0766277\pi\)
−0.692055 + 0.721845i \(0.743294\pi\)
\(734\) 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 0.984514 0.175304i \(-0.0560910\pi\)
0.641498 + 0.767125i \(0.278313\pi\)
\(740\) 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 −0.438775 0.898597i \(-0.644588\pi\)
−0.913728 + 0.406326i \(0.866810\pi\)
\(744\) −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 0.990175 0.139836i \(-0.0446575\pi\)
−0.848403 + 0.529351i \(0.822435\pi\)
\(752\) −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 −0.900651 0.434544i \(-0.856910\pi\)
0.697712 0.716378i \(-0.254201\pi\)
\(758\) 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 \(0.0607385\pi\)
−0.981850 + 0.189660i \(0.939261\pi\)
\(762\) −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