Properties

Label 57.2.j.b.14.4
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 14.4
Character \(\chi\) = 57.14
Dual form 57.2.j.b.53.4

$q$-expansion

\(f(q)\) \(=\) \(q+(2.08555 - 0.759077i) q^{2} +(-1.69575 + 0.352748i) q^{3} +(2.24122 - 1.88060i) q^{4} +(-1.78018 + 2.12154i) q^{5} +(-3.26880 + 2.02288i) q^{6} +(-1.70913 - 2.96030i) q^{7} +(1.02725 - 1.77924i) q^{8} +(2.75114 - 1.19634i) q^{9} +O(q^{10})\) \(q+(2.08555 - 0.759077i) q^{2} +(-1.69575 + 0.352748i) q^{3} +(2.24122 - 1.88060i) q^{4} +(-1.78018 + 2.12154i) q^{5} +(-3.26880 + 2.02288i) q^{6} +(-1.70913 - 2.96030i) q^{7} +(1.02725 - 1.77924i) q^{8} +(2.75114 - 1.19634i) q^{9} +(-2.10224 + 5.77587i) q^{10} +(2.03664 + 1.17586i) q^{11} +(-3.13716 + 3.97962i) q^{12} +(-0.115554 + 0.0203753i) q^{13} +(-5.81156 - 4.87648i) q^{14} +(2.27038 - 4.22556i) 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} +(3.94249 + 4.41703i) q^{21} +(5.14008 + 0.906334i) q^{22} +(-4.79880 - 5.71899i) q^{23} +(-1.11433 + 3.37951i) q^{24} +(-0.463638 - 2.62942i) q^{25} +(-0.225527 + 0.130208i) q^{26} +(-4.24323 + 2.99916i) q^{27} +(-9.39767 - 3.42047i) q^{28} +(-1.69319 - 0.616270i) q^{29} +(1.52745 - 10.5360i) q^{30} +(-1.23287 + 0.711795i) q^{31} +(1.21132 + 6.86975i) q^{32} +(-3.86842 - 1.27554i) q^{33} +(2.16579 + 2.58109i) q^{34} +(9.32295 + 1.64389i) q^{35} +(3.91605 - 7.85507i) 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} +(11.5751 + 6.21927i) q^{42} +(3.60739 + 3.02696i) q^{43} +(6.77588 - 1.19477i) q^{44} +(-2.35944 + 7.96636i) q^{45} +(-14.3493 - 8.28456i) q^{46} +(2.61102 - 7.17373i) q^{47} +(-0.0683620 - 2.23621i) q^{48} +(-2.34224 + 4.05687i) q^{49} +(-2.96287 - 5.13184i) q^{50} +(-1.38373 - 2.23599i) q^{51} +(-0.220664 + 0.262977i) q^{52} +(-2.93617 + 2.46374i) q^{53} +(-6.57287 + 9.47583i) q^{54} +(-6.12022 + 2.22758i) q^{55} -7.02278 q^{56} +(-4.83031 + 5.80242i) q^{57} -3.99901 q^{58} +(-10.5343 + 3.83419i) q^{59} +(-2.85819 - 13.7401i) q^{60} +(6.58405 - 5.52467i) q^{61} +(-2.03089 + 2.42032i) q^{62} +(-8.24358 - 6.09948i) q^{63} +(6.44925 + 11.1704i) q^{64} +(0.162480 - 0.281424i) q^{65} +(-9.03600 + 0.276235i) q^{66} +(-0.0605694 + 0.166413i) q^{67} +(3.84659 + 2.22083i) q^{68} +(10.1549 + 8.00521i) q^{69} +(20.6913 - 3.64843i) q^{70} +(5.60649 + 4.70441i) q^{71} +(0.697508 - 6.12388i) 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} +(0.336506 - 0.300354i) q^{78} +(-6.89453 - 1.21569i) q^{79} +(-2.29942 - 2.74034i) q^{80} +(6.13752 - 6.58262i) q^{81} +(1.40984 + 7.99558i) q^{82} +(-0.836326 + 0.482853i) q^{83} +(17.1427 + 2.48526i) q^{84} +(-3.95092 - 1.43802i) q^{85} +(9.82108 + 3.57458i) q^{86} +(3.08861 + 0.447771i) q^{87} +(4.18427 - 2.41579i) q^{88} +(-2.02208 - 11.4678i) q^{89} +(1.12637 + 18.4052i) q^{90} +(0.257813 + 0.307250i) q^{91} +(-21.5103 - 3.79285i) q^{92} +(1.83955 - 1.64192i) 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} +(7.00981 + 0.798416i) 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 0.525331 0.850898i \(-0.323942\pi\)
0.949373 + 0.314150i \(0.101719\pi\)
\(3\) −1.69575 + 0.352748i −0.979042 + 0.203659i
\(4\) 2.24122 1.88060i 1.12061 0.940302i
\(5\) −1.78018 + 2.12154i −0.796122 + 0.948781i −0.999541 0.0303104i \(-0.990350\pi\)
0.203418 + 0.979092i \(0.434795\pi\)
\(6\) −3.26880 + 2.02288i −1.33448 + 0.825836i
\(7\) −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
\(9\) 2.75114 1.19634i 0.917046 0.398782i
\(10\) −2.10224 + 5.77587i −0.664788 + 1.82649i
\(11\) 2.03664 + 1.17586i 0.614071 + 0.354534i 0.774557 0.632504i \(-0.217973\pi\)
−0.160486 + 0.987038i \(0.551306\pi\)
\(12\) −3.13716 + 3.97962i −0.905621 + 1.14882i
\(13\) −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
\(15\) 2.27038 4.22556i 0.586209 1.09103i
\(16\) −0.224297 + 1.27205i −0.0560744 + 0.318013i
\(17\) 0.519239 + 1.42660i 0.125934 + 0.346001i 0.986597 0.163174i \(-0.0521731\pi\)
−0.860663 + 0.509174i \(0.829951\pi\)
\(18\) 4.82951 4.58336i 1.13833 1.08031i
\(19\) 3.41260 2.71186i 0.782903 0.622143i
\(20\) 8.10265i 1.81181i
\(21\) 3.94249 + 4.41703i 0.860322 + 0.963875i
\(22\) 5.14008 + 0.906334i 1.09587 + 0.193231i
\(23\) −4.79880 5.71899i −1.00062 1.19249i −0.981262 0.192679i \(-0.938282\pi\)
−0.0193576 0.999813i \(-0.506162\pi\)
\(24\) −1.11433 + 3.37951i −0.227461 + 0.689840i
\(25\) −0.463638 2.62942i −0.0927276 0.525884i
\(26\) −0.225527 + 0.130208i −0.0442294 + 0.0255359i
\(27\) −4.24323 + 2.99916i −0.816611 + 0.577189i
\(28\) −9.39767 3.42047i −1.77599 0.646409i
\(29\) −1.69319 0.616270i −0.314417 0.114438i 0.179991 0.983668i \(-0.442393\pi\)
−0.494408 + 0.869230i \(0.664615\pi\)
\(30\) 1.52745 10.5360i 0.278874 1.92360i
\(31\) −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
\(33\) −3.86842 1.27554i −0.673405 0.222042i
\(34\) 2.16579 + 2.58109i 0.371431 + 0.442654i
\(35\) 9.32295 + 1.64389i 1.57587 + 0.277868i
\(36\) 3.91605 7.85507i 0.652674 1.30918i
\(37\) 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 \(0.147767\pi\)
−0.993377 + 0.114903i \(0.963344\pi\)
\(42\) 11.5751 + 6.21927i 1.78608 + 0.959654i
\(43\) 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
\(45\) −2.35944 + 7.96636i −0.351724 + 1.18756i
\(46\) −14.3493 8.28456i −2.11569 1.22149i
\(47\) 2.61102 7.17373i 0.380857 1.04640i −0.590139 0.807301i \(-0.700927\pi\)
0.970996 0.239094i \(-0.0768505\pi\)
\(48\) −0.0683620 2.23621i −0.00986720 0.322769i
\(49\) −2.34224 + 4.05687i −0.334605 + 0.579553i
\(50\) −2.96287 5.13184i −0.419013 0.725752i
\(51\) −1.38373 2.23599i −0.193761 0.313102i
\(52\) −0.220664 + 0.262977i −0.0306005 + 0.0364683i
\(53\) −2.93617 + 2.46374i −0.403314 + 0.338421i −0.821773 0.569815i \(-0.807015\pi\)
0.418459 + 0.908236i \(0.362570\pi\)
\(54\) −6.57287 + 9.47583i −0.894454 + 1.28950i
\(55\) −6.12022 + 2.22758i −0.825251 + 0.300367i
\(56\) −7.02278 −0.938458
\(57\) −4.83031 + 5.80242i −0.639790 + 0.768550i
\(58\) −3.99901 −0.525096
\(59\) −10.5343 + 3.83419i −1.37145 + 0.499169i −0.919576 0.392911i \(-0.871468\pi\)
−0.451878 + 0.892080i \(0.649246\pi\)
\(60\) −2.85819 13.7401i −0.368991 1.77384i
\(61\) 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
\(63\) −8.24358 6.09948i −1.03859 0.768462i
\(64\) 6.44925 + 11.1704i 0.806157 + 1.39630i
\(65\) 0.162480 0.281424i 0.0201532 0.0349064i
\(66\) −9.03600 + 0.276235i −1.11225 + 0.0340022i
\(67\) −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
\(69\) 10.1549 + 8.00521i 1.22251 + 0.963714i
\(70\) 20.6913 3.64843i 2.47308 0.436071i
\(71\) 5.60649 + 4.70441i 0.665368 + 0.558310i 0.911690 0.410878i \(-0.134778\pi\)
−0.246322 + 0.969188i \(0.579222\pi\)
\(72\) 0.697508 6.12388i 0.0822021 0.721706i
\(73\) 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
\(78\) 0.336506 0.300354i 0.0381018 0.0340084i
\(79\) −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
\(81\) 6.13752 6.58262i 0.681947 0.731402i
\(82\) 1.40984 + 7.99558i 0.155690 + 0.882964i
\(83\) −0.836326 + 0.482853i −0.0917987 + 0.0530000i −0.545197 0.838308i \(-0.683545\pi\)
0.453398 + 0.891308i \(0.350212\pi\)
\(84\) 17.1427 + 2.48526i 1.87042 + 0.271164i
\(85\) −3.95092 1.43802i −0.428538 0.155975i
\(86\) 9.82108 + 3.57458i 1.05903 + 0.385457i
\(87\) 3.08861 + 0.447771i 0.331134 + 0.0480061i
\(88\) 4.18427 2.41579i 0.446044 0.257524i
\(89\) −2.02208 11.4678i −0.214340 1.21558i −0.882048 0.471159i \(-0.843836\pi\)
0.667709 0.744423i \(-0.267275\pi\)
\(90\) 1.12637 + 18.4052i 0.118729 + 1.94008i
\(91\) 0.257813 + 0.307250i 0.0270262 + 0.0322085i
\(92\) −21.5103 3.79285i −2.24260 0.395432i
\(93\) 1.83955 1.64192i 0.190752 0.170259i
\(94\) 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
\(99\) 7.00981 + 0.798416i 0.704513 + 0.0802438i
\(100\) −5.98401 5.02118i −0.598401 0.502118i
\(101\) 15.9166 2.80652i 1.58376 0.279259i 0.688644 0.725099i \(-0.258206\pi\)
0.895113 + 0.445840i \(0.147095\pi\)
\(102\) −4.58312 3.61291i −0.453797 0.357731i
\(103\) 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
\(105\) −16.3893 + 0.501028i −1.59943 + 0.0488953i
\(106\) −4.25335 + 7.36702i −0.413122 + 0.715548i
\(107\) −7.01577 12.1517i −0.678241 1.17475i −0.975510 0.219954i \(-0.929409\pi\)
0.297270 0.954794i \(-0.403924\pi\)
\(108\) −3.86978 + 14.7016i −0.372369 + 1.41466i
\(109\) 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
\(111\) −1.17090 5.62882i −0.111137 0.534264i
\(112\) 4.14901 1.51012i 0.392044 0.142693i
\(113\) 7.78182 0.732052 0.366026 0.930605i \(-0.380718\pi\)
0.366026 + 0.930605i \(0.380718\pi\)
\(114\) −5.66935 + 15.7678i −0.530983 + 1.47679i
\(115\) 20.6758 1.92803
\(116\) −4.95376 + 1.80302i −0.459945 + 0.167406i
\(117\) −0.293529 + 0.194298i −0.0271368 + 0.0179628i
\(118\) −19.0594 + 15.9927i −1.75456 + 1.47225i
\(119\) 3.33571 3.97534i 0.305784 0.364419i
\(120\) −5.18606 8.38024i −0.473420 0.765008i
\(121\) −2.73472 4.73668i −0.248611 0.430607i
\(122\) 9.53769 16.5198i 0.863502 1.49563i
\(123\) −0.193609 6.33318i −0.0174571 0.571044i
\(124\) −1.42451 + 3.91382i −0.127925 + 0.351471i
\(125\) −5.58839 3.22646i −0.499841 0.288583i
\(126\) −21.8223 6.46323i −1.94409 0.575790i
\(127\) −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
\(129\) −7.18499 3.86047i −0.632603 0.339895i
\(130\) 0.125238 0.710258i 0.0109841 0.0622937i
\(131\) 3.39721 + 9.33375i 0.296815 + 0.815493i 0.995027 + 0.0996023i \(0.0317570\pi\)
−0.698212 + 0.715891i \(0.746021\pi\)
\(132\) −11.0687 + 4.41621i −0.963410 + 0.384382i
\(133\) −13.8605 5.46738i −1.20186 0.474082i
\(134\) 0.393039i 0.0339534i
\(135\) 1.19090 14.3412i 0.102496 1.23430i
\(136\) 3.07165 + 0.541615i 0.263392 + 0.0464431i
\(137\) 2.76198 + 3.29160i 0.235972 + 0.281220i 0.871015 0.491256i \(-0.163462\pi\)
−0.635043 + 0.772477i \(0.719018\pi\)
\(138\) 27.2551 + 8.98686i 2.32011 + 0.765013i
\(139\) 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
\(141\) −1.89713 + 13.0859i −0.159767 + 1.10203i
\(142\) 15.2636 + 5.55550i 1.28089 + 0.466207i
\(143\) −0.259300 0.0943777i −0.0216838 0.00789226i
\(144\) 0.904742 + 3.76793i 0.0753952 + 0.313994i
\(145\) 4.32162 2.49509i 0.358891 0.207206i
\(146\) −1.86040 10.5509i −0.153968 0.873196i
\(147\) 2.54079 7.70566i 0.209561 0.635552i
\(148\) 6.24242 + 7.43943i 0.513124 + 0.611517i
\(149\) 4.17566 + 0.736281i 0.342083 + 0.0603185i 0.342051 0.939682i \(-0.388879\pi\)
3.24291e−5 1.00000i \(0.499990\pi\)
\(150\) 6.83453 + 7.65718i 0.558037 + 0.625206i
\(151\) 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
\(156\) 0.281426 0.523781i 0.0225321 0.0419361i
\(157\) −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
\(159\) 4.10993 5.21361i 0.325939 0.413466i
\(160\) −16.7308 9.65954i −1.32269 0.763654i
\(161\) −8.72814 + 23.9804i −0.687874 + 1.88992i
\(162\) 7.80337 18.3872i 0.613090 1.44464i
\(163\) 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
\(165\) 9.59260 5.93631i 0.746783 0.462141i
\(166\) −1.37767 + 1.64185i −0.106928 + 0.127432i
\(167\) −1.47243 + 1.23552i −0.113940 + 0.0956071i −0.697978 0.716120i \(-0.745917\pi\)
0.584038 + 0.811727i \(0.301472\pi\)
\(168\) 11.9089 2.47727i 0.918790 0.191126i
\(169\) −12.2031 + 4.44155i −0.938697 + 0.341658i
\(170\) −9.33140 −0.715686
\(171\) 6.14421 11.5433i 0.469859 0.882741i
\(172\) 13.7775 1.05052
\(173\) −14.7484 + 5.36798i −1.12130 + 0.408120i −0.835126 0.550058i \(-0.814605\pi\)
−0.286173 + 0.958178i \(0.592383\pi\)
\(174\) 6.78133 1.41064i 0.514091 0.106941i
\(175\) −6.99145 + 5.86652i −0.528504 + 0.443467i
\(176\) −1.95257 + 2.32698i −0.147180 + 0.175403i
\(177\) 16.5111 10.2178i 1.24105 0.768016i
\(178\) −12.9221 22.3817i −0.968549 1.67758i
\(179\) −7.73482 + 13.3971i −0.578127 + 1.00135i 0.417567 + 0.908646i \(0.362883\pi\)
−0.995694 + 0.0926997i \(0.970450\pi\)
\(180\) 9.69356 + 22.2915i 0.722516 + 1.66151i
\(181\) −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
\(183\) −9.21609 + 11.6910i −0.681273 + 0.864222i
\(184\) −15.1050 + 2.66342i −1.11356 + 0.196350i
\(185\) −7.04218 5.90909i −0.517751 0.434445i
\(186\) 2.59012 4.82065i 0.189917 0.353467i
\(187\) −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 \(-0.142361\pi\)
\(192\) −14.8767 16.6673i −1.07363 1.20286i
\(193\) 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
\(195\) −0.176254 + 0.534539i −0.0126218 + 0.0382792i
\(196\) 2.37991 + 13.4971i 0.169994 + 0.964082i
\(197\) −1.82224 + 1.05207i −0.129829 + 0.0749568i −0.563508 0.826111i \(-0.690549\pi\)
0.433679 + 0.901067i \(0.357215\pi\)
\(198\) 15.2254 3.65585i 1.08202 0.259810i
\(199\) 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
\(201\) 0.0440088 0.303561i 0.00310414 0.0214115i
\(202\) 31.0644 17.9350i 2.18568 1.26190i
\(203\) 1.06953 + 6.06562i 0.0750664 + 0.425723i
\(204\) −7.30625 2.40910i −0.511540 0.168671i
\(205\) −6.51222 7.76096i −0.454833 0.542049i
\(206\) 16.4332 + 2.89762i 1.14496 + 0.201886i
\(207\) −20.0440 9.99271i −1.39316 0.694541i
\(208\) 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
\(213\) −11.1667 5.99982i −0.765128 0.411101i
\(214\) −23.8558 20.0174i −1.63075 1.36836i
\(215\) −12.8436 + 2.26468i −0.875929 + 0.154450i
\(216\) 0.977387 + 10.6306i 0.0665027 + 0.723322i
\(217\) 4.21425 + 2.43310i 0.286082 + 0.165169i
\(218\) 5.16951 14.2031i 0.350123 0.961956i
\(219\) 0.255484 + 8.35719i 0.0172640 + 0.564727i
\(220\) −9.52755 + 16.5022i −0.642347 + 1.11258i
\(221\) −0.0890674 0.154269i −0.00599132 0.0103773i
\(222\) −6.71468 10.8504i −0.450660 0.728229i
\(223\) 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
\(225\) −4.42123 6.67923i −0.294748 0.445282i
\(226\) 16.2293 5.90700i 1.07956 0.392928i
\(227\) −2.88851 −0.191717 −0.0958584 0.995395i \(-0.530560\pi\)
−0.0958584 + 0.995395i \(0.530560\pi\)
\(228\) 0.0862887 + 22.0884i 0.00571461 + 1.46284i
\(229\) −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
\(231\) 2.83565 + 13.6317i 0.186572 + 0.896901i
\(232\) −2.83581 + 2.37953i −0.186180 + 0.156224i
\(233\) −2.52237 + 3.00604i −0.165246 + 0.196932i −0.842313 0.538989i \(-0.818806\pi\)
0.677067 + 0.735922i \(0.263251\pi\)
\(234\) −0.464681 + 0.628027i −0.0303772 + 0.0410554i
\(235\) 10.5712 + 18.3099i 0.689592 + 1.19441i
\(236\) −16.3992 + 28.4042i −1.06749 + 1.84895i
\(237\) 12.1202 0.370522i 0.787294 0.0240680i
\(238\) 3.93918 10.8228i 0.255339 0.701539i
\(239\) −0.756613 0.436831i −0.0489412 0.0282562i 0.475330 0.879808i \(-0.342329\pi\)
−0.524271 + 0.851552i \(0.675662\pi\)
\(240\) 4.86590 + 3.83582i 0.314092 + 0.247601i
\(241\) 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
\(243\) −8.08569 + 13.3275i −0.518697 + 0.854958i
\(244\) 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
\(249\) 1.24787 1.11381i 0.0790808 0.0705848i
\(250\) −14.1040 2.48691i −0.892014 0.157286i
\(251\) −5.16327 6.15335i −0.325903 0.388396i 0.578069 0.815988i \(-0.303806\pi\)
−0.903972 + 0.427592i \(0.859362\pi\)
\(252\) −29.9464 + 1.83266i −1.88644 + 0.115447i
\(253\) −3.04874 17.2902i −0.191672 1.08703i
\(254\) −35.8749 + 20.7124i −2.25099 + 1.29961i
\(255\) 7.20704 + 1.04484i 0.451322 + 0.0654305i
\(256\) 6.36496 + 2.31666i 0.397810 + 0.144791i
\(257\) 9.31791 + 3.39144i 0.581235 + 0.211552i 0.615870 0.787848i \(-0.288805\pi\)
−0.0346349 + 0.999400i \(0.511027\pi\)
\(258\) −17.9150 2.59723i −1.11534 0.161696i
\(259\) 9.82632 5.67323i 0.610578 0.352517i
\(260\) −0.165094 0.936293i −0.0102387 0.0580664i
\(261\) −5.39546 + 0.330193i −0.333971 + 0.0204384i
\(262\) 14.1701 + 16.8872i 0.875429 + 1.04330i
\(263\) 21.1995 + 3.73805i 1.30722 + 0.230498i 0.783500 0.621392i \(-0.213433\pi\)
0.523720 + 0.851890i \(0.324544\pi\)
\(264\) −6.24331 + 5.57256i −0.384249 + 0.342968i
\(265\) 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 \(-0.753772\pi\)
0.911252 0.411849i \(-0.135117\pi\)
\(270\) −8.40243 30.8133i −0.511356 1.87524i
\(271\) 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
\(273\) −0.545569 0.430076i −0.0330193 0.0260294i
\(274\) 8.25881 + 4.76823i 0.498933 + 0.288059i
\(275\) 2.14756 5.90036i 0.129503 0.355805i
\(276\) 37.8140 1.15599i 2.27614 0.0695827i
\(277\) −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
\(279\) −2.54023 + 3.43318i −0.152080 + 0.205539i
\(280\) 12.5018 14.8991i 0.747128 0.890392i
\(281\) 18.8698 15.8337i 1.12568 0.944558i 0.126803 0.991928i \(-0.459529\pi\)
0.998877 + 0.0473703i \(0.0150841\pi\)
\(282\) 5.97665 + 28.7313i 0.355904 + 1.71092i
\(283\) −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
\(285\) −3.71123 20.5771i −0.219835 1.21888i
\(286\) −0.612423 −0.0362133
\(287\) 11.7505 4.27682i 0.693607 0.252452i
\(288\) 11.5511 + 17.4505i 0.680655 + 1.02828i
\(289\) 11.2572 9.44590i 0.662187 0.555641i
\(290\) 7.11898 8.48407i 0.418041 0.498202i
\(291\) −4.61357 7.45514i −0.270452 0.437028i
\(292\) −7.06159 12.2310i −0.413248 0.715767i
\(293\) 14.2154 24.6217i 0.830470 1.43842i −0.0671953 0.997740i \(-0.521405\pi\)
0.897666 0.440677i \(-0.145262\pi\)
\(294\) −0.550244 17.9992i −0.0320909 1.04973i
\(295\) 10.6187 29.1746i 0.618243 1.69861i
\(296\) 5.90597 + 3.40981i 0.343277 + 0.198191i
\(297\) −12.1685 + 1.11878i −0.706090 + 0.0649184i
\(298\) 9.26742 1.63410i 0.536847 0.0946606i
\(299\) 0.671046 + 0.563075i 0.0388076 + 0.0325635i
\(300\) 11.9186 + 6.40382i 0.688121 + 0.369725i
\(301\) 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
\(306\) 9.04628 + 4.50991i 0.517141 + 0.257814i
\(307\) 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
\(309\) −12.3676 4.07798i −0.703569 0.231988i
\(310\) −1.51945 8.61723i −0.0862990 0.489426i
\(311\) −12.9378 + 7.46964i −0.733635 + 0.423564i −0.819750 0.572721i \(-0.805888\pi\)
0.0861156 + 0.996285i \(0.472555\pi\)
\(312\) 0.0599066 0.413220i 0.00339155 0.0233940i
\(313\) 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
\(315\) 27.6154 6.63090i 1.55595 0.373609i
\(316\) −17.7384 + 10.2413i −0.997862 + 0.576116i
\(317\) 5.48089 + 31.0837i 0.307837 + 1.74583i 0.609840 + 0.792525i \(0.291234\pi\)
−0.302003 + 0.953307i \(0.597655\pi\)
\(318\) 4.61392 13.9930i 0.258736 0.784688i
\(319\) −2.72377 3.24607i −0.152502 0.181745i
\(320\) −35.1794 6.20307i −1.96659 0.346762i
\(321\) 16.1835 + 18.1314i 0.903274 + 1.01200i
\(322\) 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
\(327\) −5.58296 + 10.3908i −0.308738 + 0.574615i
\(328\) 5.75735 + 4.83099i 0.317897 + 0.266747i
\(329\) −25.6989 + 4.53141i −1.41683 + 0.249825i
\(330\) 15.4997 19.6620i 0.853230 1.08236i
\(331\) −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
\(333\) 3.97111 + 9.13205i 0.217616 + 0.500433i
\(334\) −2.13297 + 3.69442i −0.116711 + 0.202149i
\(335\) −0.245228 0.424746i −0.0133982 0.0232064i
\(336\) −6.50299 + 4.02433i −0.354767 + 0.219545i
\(337\) 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
\(339\) −13.1960 + 2.74502i −0.716710 + 0.149089i
\(340\) −11.5592 + 4.20721i −0.626887 + 0.228168i
\(341\) −3.34788 −0.181298
\(342\) 4.05174 28.7381i 0.219093 1.55398i
\(343\) −7.91507 −0.427374
\(344\) 9.09138 3.30899i 0.490174 0.178409i
\(345\) −35.0610 + 7.29335i −1.88762 + 0.392661i
\(346\) −26.6837 + 22.3903i −1.43453 + 1.20371i
\(347\) −4.93290 + 5.87880i −0.264812 + 0.315590i −0.882022 0.471208i \(-0.843818\pi\)
0.617211 + 0.786798i \(0.288263\pi\)
\(348\) 7.76432 4.80490i 0.416211 0.257570i
\(349\) −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
\(351\) 0.429214 0.433022i 0.0229097 0.0231130i
\(352\) −5.61080 + 15.4156i −0.299057 + 0.821652i
\(353\) −26.2583 15.1602i −1.39759 0.806897i −0.403447 0.915003i \(-0.632188\pi\)
−0.994139 + 0.108106i \(0.965521\pi\)
\(354\) 26.6786 33.8429i 1.41795 1.79873i
\(355\) −19.9612 + 3.51969i −1.05943 + 0.186806i
\(356\) −26.0983 21.8990i −1.38320 1.16065i
\(357\) −4.25423 + 7.91785i −0.225158 + 0.419057i
\(358\) −5.96189 + 33.8116i −0.315096 + 1.78700i
\(359\) −10.5174 28.8964i −0.555089 1.52510i −0.826674 0.562681i \(-0.809770\pi\)
0.271585 0.962414i \(-0.412452\pi\)
\(360\) 11.7504 + 12.3814i 0.619299 + 0.652558i
\(361\) 4.29164 18.5090i 0.225876 0.974156i
\(362\) 2.26934i 0.119274i
\(363\) 6.30826 + 7.06756i 0.331098 + 0.370951i
\(364\) 1.15563 + 0.203769i 0.0605715 + 0.0106804i
\(365\) 8.59345 + 10.2413i 0.449802 + 0.536053i
\(366\) −10.3462 + 31.3778i −0.540806 + 1.64014i
\(367\) −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
\(369\) 2.56233 + 10.6712i 0.133390 + 0.555521i
\(370\) −19.1722 6.97813i −0.996717 0.362775i
\(371\) 12.3117 + 4.48109i 0.639191 + 0.232646i
\(372\) 1.03503 7.13935i 0.0536637 0.370158i
\(373\) −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
\(375\) 10.6146 + 3.49998i 0.548138 + 0.180738i
\(376\) −10.0816 12.0148i −0.519921 0.619617i
\(377\) 0.208211 + 0.0367132i 0.0107234 + 0.00189083i
\(378\) 39.2851 + 3.26224i 2.02061 + 0.167791i
\(379\) 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 −0.946790 0.321852i \(-0.895695\pi\)
0.999771 + 0.0213797i \(0.00680588\pi\)
\(384\) −22.3912 12.0307i −1.14264 0.613939i
\(385\) 17.0545 + 14.3105i 0.869180 + 0.729328i
\(386\) 26.4214 4.65881i 1.34481 0.237127i
\(387\) 13.5457 + 4.01190i 0.688568 + 0.203936i
\(388\) 12.8251 + 7.40459i 0.651097 + 0.375911i
\(389\) −4.73660 + 13.0137i −0.240155 + 0.659821i 0.759798 + 0.650159i \(0.225298\pi\)
−0.999953 + 0.00966178i \(0.996925\pi\)
\(390\) 0.0381702 + 1.24860i 0.00193283 + 0.0632252i
\(391\) 5.66697 9.81548i 0.286591 0.496390i
\(392\) 4.81211 + 8.33481i 0.243048 + 0.420971i
\(393\) −9.05327 14.6293i −0.456677 0.737953i
\(394\) −3.00176 + 3.57735i −0.151226 + 0.180225i
\(395\) 14.8527 12.4629i 0.747319 0.627075i
\(396\) 17.2120 11.3933i 0.864936 0.572533i
\(397\) 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
\(399\) 25.4325 + 4.38207i 1.27322 + 0.219378i
\(400\) 3.44876 0.172438
\(401\) 22.3703 8.14211i 1.11712 0.406597i 0.283518 0.958967i \(-0.408498\pi\)
0.833599 + 0.552370i \(0.186276\pi\)
\(402\) −0.138644 0.666496i −0.00691492 0.0332418i
\(403\) 0.127959 0.107371i 0.00637411 0.00534852i
\(404\) 30.3945 36.2228i 1.51218 1.80215i
\(405\) 3.03938 + 24.7393i 0.151028 + 1.22930i
\(406\) 6.83483 + 11.8383i 0.339207 + 0.587523i
\(407\) −3.90310 + 6.76037i −0.193470 + 0.335099i
\(408\) −5.39980 + 0.165075i −0.267330 + 0.00817242i
\(409\) −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
\(411\) −5.84473 4.60745i −0.288299 0.227269i
\(412\) 21.6630 3.81977i 1.06726 0.188186i
\(413\) 29.3549 + 24.6317i 1.44446 + 1.21204i
\(414\) −49.3880 5.62528i −2.42729 0.276467i
\(415\) 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 \(-0.0824387\pi\)
\(420\) −35.7897 + 31.9446i −1.74636 + 1.55874i
\(421\) 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
\(423\) −1.39897 22.8596i −0.0680201 1.11147i
\(424\) 1.36742 + 7.75502i 0.0664078 + 0.376617i
\(425\) 3.51039 2.02672i 0.170279 0.0983105i
\(426\) −27.8430 4.03653i −1.34900 0.195571i
\(427\) −27.6077 10.0484i −1.33603 0.486274i
\(428\) −38.5764 14.0406i −1.86466 0.678680i
\(429\) 0.473000 + 0.0685732i 0.0228367 + 0.00331075i
\(430\) −25.0669 + 14.4724i −1.20883 + 0.697921i
\(431\) −2.37538 13.4715i −0.114418 0.648897i −0.987037 0.160495i \(-0.948691\pi\)
0.872619 0.488402i \(-0.162420\pi\)
\(432\) −2.86335 6.07033i −0.137763 0.292059i
\(433\) 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
\(435\) −6.44826 + 5.75549i −0.309170 + 0.275955i
\(436\) 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
\(441\) −1.59040 + 13.9631i −0.0757332 + 0.664911i
\(442\) −0.302857 0.254127i −0.0144054 0.0120876i
\(443\) −5.09078 + 0.897641i −0.241870 + 0.0426482i −0.293269 0.956030i \(-0.594743\pi\)
0.0513989 + 0.998678i \(0.483632\pi\)
\(444\) −13.2098 10.4134i −0.626911 0.494199i
\(445\) 27.9290 + 16.1248i 1.32396 + 0.764390i
\(446\) 4.13548 11.3621i 0.195820 0.538012i
\(447\) −7.34059 + 0.224406i −0.347198 + 0.0106140i
\(448\) 22.0452 38.1834i 1.04154 1.80400i
\(449\) −14.3628 24.8771i −0.677823 1.17402i −0.975635 0.219399i \(-0.929590\pi\)
0.297812 0.954625i \(-0.403743\pi\)
\(450\) −14.2907 10.5738i −0.673671 0.498453i
\(451\) −5.52988 + 6.59026i −0.260392 + 0.310323i
\(452\) 17.4407 14.6345i 0.820344 0.688350i
\(453\) −4.08825 19.6533i −0.192083 0.923390i
\(454\) −6.02411 + 2.19260i −0.282726 + 0.102904i
\(455\) −1.11080 −0.0520750
\(456\) 5.36200 + 14.5548i 0.251099 + 0.681591i
\(457\) 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
\(459\) −6.48185 4.49611i −0.302547 0.209860i
\(460\) 46.3390 38.8830i 2.16057 1.81293i
\(461\) −18.8457 + 22.4594i −0.877732 + 1.04604i 0.120843 + 0.992672i \(0.461440\pi\)
−0.998575 + 0.0533689i \(0.983004\pi\)
\(462\) 16.2614 + 26.2771i 0.756549 + 1.22252i
\(463\) 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
\(465\) 0.208662 + 6.82559i 0.00967645 + 0.316529i
\(466\) −2.97870 + 8.18391i −0.137986 + 0.379112i
\(467\) 35.4175 + 20.4483i 1.63893 + 0.946235i 0.981203 + 0.192976i \(0.0618141\pi\)
0.657724 + 0.753259i \(0.271519\pi\)
\(468\) −0.292465 + 0.987475i −0.0135192 + 0.0456460i
\(469\) 0.596153 0.105118i 0.0275278 0.00485389i
\(470\) 35.9455 + 30.1618i 1.65804 + 1.39126i
\(471\) 11.9339 + 6.41205i 0.549886 + 0.295452i
\(472\) −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
\(477\) −5.13033 + 10.2908i −0.234901 + 0.471181i
\(478\) −1.90954 0.336703i −0.0873403 0.0154004i
\(479\) 15.6062 + 18.5987i 0.713063 + 0.849796i 0.993937 0.109949i \(-0.0350687\pi\)
−0.280874 + 0.959745i \(0.590624\pi\)
\(480\) 31.7787 + 10.4784i 1.45049 + 0.478272i
\(481\) −0.0676331 0.383566i −0.00308380 0.0174891i
\(482\) 10.3292 5.96354i 0.470480 0.271632i
\(483\) 6.34172 43.7435i 0.288558 1.99040i
\(484\) −15.0369 5.47300i −0.683497 0.248773i
\(485\) −13.1730 4.79458i −0.598155 0.217711i
\(486\) −6.74651 + 33.9327i −0.306028 + 1.53922i
\(487\) 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
\(489\) −9.61720 + 29.1668i −0.434905 + 1.31897i
\(490\) −18.5080 22.0570i −0.836106 0.996432i
\(491\) −34.3949 6.06475i −1.55222 0.273698i −0.669218 0.743066i \(-0.733371\pi\)
−0.883003 + 0.469368i \(0.844482\pi\)
\(492\) −12.3441 13.8299i −0.556516 0.623502i
\(493\) 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
\(498\) 1.75703 3.27013i 0.0787345 0.146538i
\(499\) 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
\(501\) 2.06105 2.61452i 0.0920809 0.116808i
\(502\) −15.4391 8.91377i −0.689081 0.397841i
\(503\) −0.0977650 + 0.268607i −0.00435912 + 0.0119766i −0.941853 0.336025i \(-0.890917\pi\)
0.937494 + 0.348001i \(0.113140\pi\)
\(504\) −19.3206 + 8.40167i −0.860610 + 0.374240i
\(505\) −22.3803 + 38.7637i −0.995908 + 1.72496i
\(506\) −19.4829 33.7454i −0.866121 1.50016i
\(507\) 19.1266 11.8364i 0.849442 0.525672i
\(508\) −35.1013 + 41.8321i −1.55737 + 1.85600i
\(509\) 3.00696 2.52314i 0.133281 0.111836i −0.573710 0.819058i \(-0.694496\pi\)
0.706991 + 0.707222i \(0.250052\pi\)
\(510\) 15.8237 3.29163i 0.700686 0.145756i
\(511\) −15.5058 + 5.64363i −0.685934 + 0.249660i
\(512\) −14.3179 −0.632766
\(513\) −6.34715 + 21.7420i −0.280234 + 0.959932i
\(514\) 22.0073 0.970700
\(515\) −19.5668 + 7.12173i −0.862216 + 0.313821i
\(516\) −23.3631 + 4.85997i −1.02850 + 0.213948i
\(517\) 13.7530 11.5401i 0.604856 0.507534i
\(518\) 16.1868 19.2907i 0.711209 0.847585i
\(519\) 23.1160 14.3052i 1.01468 0.627929i
\(520\) −0.333814 0.578183i −0.0146387 0.0253550i
\(521\) 4.18609 7.25051i 0.183396 0.317651i −0.759639 0.650345i \(-0.774624\pi\)
0.943035 + 0.332694i \(0.107958\pi\)
\(522\) −11.0018 + 4.78420i −0.481538 + 0.209399i
\(523\) 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
\(525\) 9.78635 12.4144i 0.427111 0.541808i
\(526\) 47.0501 8.29620i 2.05148 0.361732i
\(527\) −1.65560 1.38921i −0.0721190 0.0605150i
\(528\) 2.49023 4.63474i 0.108373 0.201701i
\(529\) −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
\(534\) 29.8077 + 33.3955i 1.28990 + 1.44516i
\(535\) 38.2696 + 6.74797i 1.65454 + 0.291740i
\(536\) 0.233870 + 0.278715i 0.0101016 + 0.0120387i
\(537\) 8.39052 25.4466i 0.362078 1.09810i
\(538\) −7.12784 40.4240i −0.307303 1.74280i
\(539\) −9.54059 + 5.50826i −0.410942 + 0.237258i
\(540\) −24.3011 34.3814i −1.04575 1.47954i
\(541\) 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
\(543\) 0.254099 1.75271i 0.0109044 0.0752158i
\(544\) −9.17140 + 5.29511i −0.393220 + 0.227026i
\(545\) 3.27515 + 18.5743i 0.140292 + 0.795635i
\(546\) −1.46427 0.482815i −0.0626649 0.0206626i
\(547\) −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
\(549\) 11.5042 23.0759i 0.490988 0.984857i
\(550\) 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
\(555\) 14.0262 + 7.53623i 0.595379 + 0.319895i
\(556\) 41.3883 + 34.7289i 1.75526 + 1.47283i
\(557\) 1.21307 0.213897i 0.0513994 0.00906310i −0.147889 0.989004i \(-0.547248\pi\)
0.199289 + 0.979941i \(0.436137\pi\)
\(558\) −2.69172 + 9.08828i −0.113950 + 0.384738i
\(559\) −0.478523 0.276276i −0.0202394 0.0116852i
\(560\) −4.18223 + 11.4906i −0.176731 + 0.485565i
\(561\) −0.188956 6.18099i −0.00797772 0.260961i
\(562\) 27.3349 47.3455i 1.15305 1.99715i
\(563\) 18.4158 + 31.8971i 0.776134 + 1.34430i 0.934155 + 0.356868i \(0.116155\pi\)
−0.158020 + 0.987436i \(0.550511\pi\)
\(564\) 20.3575 + 32.8960i 0.857205 + 1.38517i
\(565\) −13.8531 + 16.5094i −0.582803 + 0.694557i
\(566\) −18.9372 + 15.8902i −0.795991 + 0.667916i
\(567\) −29.9763 6.91834i −1.25889 0.290543i
\(568\) 14.1295 5.14273i 0.592862 0.215784i
\(569\) −33.1970 −1.39169 −0.695846 0.718191i \(-0.744971\pi\)
−0.695846 + 0.718191i \(0.744971\pi\)
\(570\) −23.3595 40.0973i −0.978423 1.67949i
\(571\) −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
\(573\) 4.21673 + 20.2709i 0.176156 + 0.846829i
\(574\) 21.2597 17.8390i 0.887362 0.744585i
\(575\) −12.8127 + 15.2696i −0.534328 + 0.636787i
\(576\) 31.1065 + 23.0159i 1.29610 + 0.958995i
\(577\) −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
\(579\) −20.9280 + 0.639781i −0.869740 + 0.0265884i
\(580\) 4.99342 13.7193i 0.207340 0.569663i
\(581\) 2.85877 + 1.65051i 0.118602 + 0.0684749i
\(582\) −15.2808 12.0460i −0.633411 0.499323i
\(583\) −8.87693 + 1.56524i −0.367645 + 0.0648257i
\(584\) −7.59733 6.37492i −0.314380 0.263796i
\(585\) 0.110325 0.968619i 0.00456139 0.0400474i
\(586\) 10.9570 62.1403i 0.452630 2.56699i
\(587\) −1.44221 3.96244i −0.0595265 0.163548i 0.906365 0.422496i \(-0.138846\pi\)
−0.965891 + 0.258949i \(0.916624\pi\)
\(588\) −8.79682 22.0483i −0.362775 0.909256i
\(589\) −2.27698 + 5.77243i −0.0938215 + 0.237849i
\(590\) 68.9053i 2.83679i
\(591\) 2.71894 2.42684i 0.111842 0.0998267i
\(592\) −4.22242 0.744526i −0.173540 0.0305998i
\(593\) 4.95391 + 5.90384i 0.203433 + 0.242442i 0.858109 0.513468i \(-0.171639\pi\)
−0.654676 + 0.755910i \(0.727195\pi\)
\(594\) −24.5288 + 11.5701i −1.00643 + 0.474728i
\(595\) 2.49567 + 14.1537i 0.102313 + 0.580244i
\(596\) 10.7432 6.20259i 0.440059 0.254068i
\(597\) −9.91797 1.43786i −0.405915 0.0588476i
\(598\) 1.82692 + 0.664943i 0.0747081 + 0.0271915i
\(599\) 25.3361 + 9.22158i 1.03520 + 0.376783i 0.803060 0.595898i \(-0.203204\pi\)
0.232144 + 0.972681i \(0.425426\pi\)
\(600\) 9.40280 + 1.36317i 0.383868 + 0.0556512i
\(601\) 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
\(603\) 0.0324526 + 0.530288i 0.00132157 + 0.0215950i
\(604\) 21.7957 + 25.9751i 0.886853 + 1.05691i
\(605\) 14.9174 + 2.63033i 0.606477 + 0.106938i
\(606\) −46.3509 + 41.3712i −1.88287 + 1.68059i
\(607\) 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
\(612\) 13.2394 + 1.50796i 0.535170 + 0.0609558i
\(613\) −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
\(615\) 13.7808 + 10.8635i 0.555694 + 0.438058i
\(616\) −14.3029 8.25778i −0.576280 0.332715i
\(617\) 2.76356 7.59281i 0.111257 0.305675i −0.871552 0.490303i \(-0.836886\pi\)
0.982808 + 0.184629i \(0.0591082\pi\)
\(618\) −28.8887 + 0.883143i −1.16207 + 0.0355252i
\(619\) 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
\(621\) 37.5146 + 9.87464i 1.50541 + 0.396256i
\(622\) −21.3123 + 25.3991i −0.854547 + 1.01841i
\(623\) −30.4920 + 25.5858i −1.22164 + 1.02508i
\(624\) 0.0534628 + 0.257010i 0.00214023 + 0.0102886i
\(625\) 29.3382 10.6782i 1.17353 0.427130i
\(626\) 56.7537 2.26834
\(627\) −16.6604 + 6.13771i −0.665353 + 0.245117i
\(628\) −22.8837 −0.913159
\(629\) −4.73541 + 1.72355i −0.188813 + 0.0687223i
\(630\) 52.5598 34.7912i 2.09403 1.38612i
\(631\) −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
\(633\) −21.5603 34.8397i −0.856945 1.38475i
\(634\) 35.0255 + 60.6660i 1.39104 + 2.40935i
\(635\) 25.8460 44.7666i 1.02567 1.77651i
\(636\) −0.593495 19.4140i −0.0235336 0.769815i
\(637\) 0.187995 0.516511i 0.00744862 0.0204649i
\(638\) −8.14456 4.70227i −0.322446 0.186165i
\(639\) 21.0523 + 6.23517i 0.832817 + 0.246660i
\(640\) −40.0257 + 7.05761i −1.58215 + 0.278976i
\(641\) −25.7120 21.5750i −1.01556 0.852159i −0.0265004 0.999649i \(-0.508436\pi\)
−0.989064 + 0.147489i \(0.952881\pi\)
\(642\) 47.5145 + 25.5294i 1.87525 + 1.00756i
\(643\) −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 \(0.166426\pi\)
−0.866403 + 0.499345i \(0.833574\pi\)
\(648\) −5.40733 17.6821i −0.212420 0.694619i
\(649\) −25.9631 4.57800i −1.01914 0.179702i
\(650\) 0.446934 + 0.532635i 0.0175302 + 0.0208917i
\(651\) −8.00458 2.63936i −0.313724 0.103445i
\(652\) −9.00824 51.0883i −0.352790 2.00077i
\(653\) 38.7229 22.3567i 1.51534 0.874884i 0.515505 0.856886i \(-0.327604\pi\)
0.999838 0.0179975i \(-0.00572909\pi\)
\(654\) −3.75608 + 25.9085i −0.146874 + 1.01310i
\(655\) −25.8496 9.40847i −1.01003 0.367619i
\(656\) −4.44022 1.61611i −0.173361 0.0630984i
\(657\) −3.38122 14.0816i −0.131914 0.549375i
\(658\) −50.1566 + 28.9579i −1.95531 + 1.12890i
\(659\) −4.52313 25.6520i −0.176196 0.999258i −0.936754 0.349988i \(-0.886186\pi\)
0.760558 0.649270i \(-0.224926\pi\)
\(660\) 10.3352 31.3444i 0.402298 1.22008i
\(661\) −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
\(663\) 0.205454 + 0.230184i 0.00797918 + 0.00893960i
\(664\) 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
\(669\) −4.46622 + 8.31240i −0.172674 + 0.321376i
\(670\) −0.833848 0.699682i −0.0322144 0.0270311i
\(671\) 19.9056 3.50989i 0.768446 0.135498i
\(672\) −25.5683 + 32.4344i −0.986317 + 1.25118i
\(673\) 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
\(675\) 9.85338 + 9.76673i 0.379257 + 0.375921i
\(676\) −18.9969 + 32.9036i −0.730651 + 1.26552i
\(677\) 8.46982 + 14.6702i 0.325522 + 0.563820i 0.981618 0.190857i \(-0.0611267\pi\)
−0.656096 + 0.754677i \(0.727793\pi\)
\(678\) −25.4372 + 15.7417i −0.976911 + 0.604555i
\(679\) 11.1218 13.2544i 0.426814 0.508657i
\(680\) −6.61716 + 5.55245i −0.253756 + 0.212927i
\(681\) 4.89818 1.01891i 0.187699 0.0390449i
\(682\) −6.98215 + 2.54129i −0.267360 + 0.0973112i
\(683\) 31.1308 1.19119 0.595593 0.803287i \(-0.296917\pi\)
0.595593 + 0.803287i \(0.296917\pi\)
\(684\) −7.93796 37.4259i −0.303515 1.43102i
\(685\) −11.9001 −0.454679
\(686\) −16.5072 + 6.00815i −0.630249 + 0.229392i
\(687\) 48.9147 10.1752i 1.86621 0.388207i
\(688\) −4.65959 + 3.90986i −0.177645 + 0.149062i
\(689\) 0.289087 0.344520i 0.0110133 0.0131252i
\(690\) −67.5852 + 41.8246i −2.57292 + 1.59224i
\(691\) 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
\(693\) −9.61712 22.1157i −0.365324 0.840107i
\(694\) −5.82532 + 16.0049i −0.221126 + 0.607540i
\(695\) −44.2917 25.5718i −1.68008 0.969994i
\(696\) 3.96946 5.03541i 0.150462 0.190867i
\(697\) −5.46930 + 0.964384i −0.207164 + 0.0365287i
\(698\) −8.14291 6.83271i −0.308214 0.258622i
\(699\) 3.21693 5.98726i 0.121676 0.226459i
\(700\) −4.63675 + 26.2963i −0.175253 + 0.993906i
\(701\) 0.663693 + 1.82348i 0.0250673 + 0.0688719i 0.951595 0.307354i \(-0.0994437\pi\)
−0.926528 + 0.376226i \(0.877221\pi\)
\(702\) 0.566448 1.22889i 0.0213792 0.0463816i
\(703\) 9.00167 + 11.3277i 0.339504 + 0.427231i
\(704\) 30.3336i 1.14324i
\(705\) −24.3850 27.3201i −0.918392 1.02893i
\(706\) −66.2706 11.6853i −2.49413 0.439782i
\(707\) −35.5116 42.3210i −1.33555 1.59165i
\(708\) 17.7894 53.9511i 0.668565 2.02761i
\(709\) 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
\(711\) −20.4222 + 4.90370i −0.765892 + 0.183903i
\(712\) −22.4811 8.18246i −0.842516 0.306651i
\(713\) 9.98703 + 3.63498i 0.374017 + 0.136131i
\(714\) −2.86214 + 19.7423i −0.107113 + 0.738838i
\(715\) 0.661828 0.382107i 0.0247510 0.0142900i
\(716\) 7.85923 + 44.5719i 0.293713 + 1.66573i
\(717\) 1.43712 + 0.473862i 0.0536701 + 0.0176967i
\(718\) −43.8692 52.2813i −1.63718 1.95112i
\(719\) 11.9507 + 2.10723i 0.445685 + 0.0785864i 0.391987 0.919971i \(-0.371788\pi\)
0.0536985 + 0.998557i \(0.482899\pi\)
\(720\) −9.60443 4.78816i −0.357936 0.178444i
\(721\) 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
\(726\) 18.5210 + 9.95127i 0.687379 + 0.369326i
\(727\) 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
\(729\) 9.01008 25.4523i 0.333707 0.942677i
\(730\) 25.6959 + 14.8356i 0.951049 + 0.549089i
\(731\) −2.44516 + 6.71801i −0.0904374 + 0.248475i
\(732\) 1.33085 + 43.5338i 0.0491897 + 1.60906i
\(733\) 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
\(735\) 11.8248 + 19.1079i 0.436164 + 0.704805i
\(736\) 33.4751 39.8941i 1.23391 1.47052i
\(737\) −0.319036 + 0.267703i −0.0117519 + 0.00986098i
\(738\) 13.4441 + 20.3103i 0.494885 + 0.747632i
\(739\) 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
\(741\) 0.439935 0.768912i 0.0161614 0.0282467i
\(742\) 29.0781 1.06749
\(743\) 36.8666 13.4183i 1.35250 0.492271i 0.438775 0.898597i \(-0.355412\pi\)
0.913728 + 0.406326i \(0.133190\pi\)
\(744\) −1.03170 4.95966i −0.0378240 0.181830i
\(745\) −8.99548 + 7.54811i −0.329569 + 0.276541i
\(746\) −37.7405 + 44.9773i −1.38178 + 1.64674i
\(747\) −1.72319 + 2.32893i −0.0630482 + 0.0852110i
\(748\) 5.22276 + 9.04608i 0.190963 + 0.330757i
\(749\) −23.9817 + 41.5375i −0.876273 + 1.51775i
\(750\) 24.7941 0.757967i 0.905352 0.0276771i
\(751\) 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
\(753\) 10.9262 + 8.61321i 0.398173 + 0.313883i
\(754\) 0.462102 0.0814810i 0.0168288 0.00296736i
\(755\) −24.5880 20.6318i −0.894850 0.750868i
\(756\) 50.1351 13.6713i 1.82339 0.497219i
\(757\) −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 \(0.0607385\pi\)
−0.981850 + 0.189660i \(0.939261\pi\)
\(762\) 53.5287 47.7779i 1.93914 1.73081i
\(763\) −22.9255 4.04239i −0.829960 0.146344i
\(764\) −22.4806 26.7914i −0.813320 0.969278i