Properties

Label 690.2.m.g.271.3
Level $690$
Weight $2$
Character 690.271
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 271.3
Character \(\chi\) \(=\) 690.271
Dual form 690.2.m.g.331.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.142315 + 0.989821i) q^{5} +(0.841254 - 0.540641i) q^{6} +(1.68254 + 3.68425i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.142315 + 0.989821i) q^{5} +(0.841254 - 0.540641i) q^{6} +(1.68254 + 3.68425i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(0.415415 - 0.909632i) q^{10} +(-0.746018 + 0.219051i) q^{11} +(-0.959493 + 0.281733i) q^{12} +(-1.73977 + 3.80956i) q^{13} +(-0.576412 - 4.00903i) q^{14} +(-0.654861 - 0.755750i) q^{15} +(0.415415 + 0.909632i) q^{16} +(0.246954 - 0.158708i) q^{17} +(-0.142315 + 0.989821i) q^{18} +(1.50337 + 0.966158i) q^{19} +(-0.654861 + 0.755750i) q^{20} +(-3.88620 - 1.14109i) q^{21} +0.777512 q^{22} +(2.10059 - 4.31132i) q^{23} +1.00000 q^{24} +(-0.959493 - 0.281733i) q^{25} +(2.74258 - 3.16510i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-0.576412 + 4.00903i) q^{28} +(-2.37162 + 1.52415i) q^{29} +(0.415415 + 0.909632i) q^{30} +(-5.90838 - 6.81863i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(0.322990 - 0.707250i) q^{33} +(-0.281664 + 0.0827039i) q^{34} +(-3.88620 + 1.14109i) q^{35} +(0.415415 - 0.909632i) q^{36} +(1.01155 + 7.03551i) q^{37} +(-1.17028 - 1.35057i) q^{38} +(-1.73977 - 3.80956i) q^{39} +(0.841254 - 0.540641i) q^{40} +(0.298907 - 2.07895i) q^{41} +(3.40730 + 2.18974i) q^{42} +(-4.60514 + 5.31462i) q^{43} +(-0.746018 - 0.219051i) q^{44} +1.00000 q^{45} +(-3.23014 + 3.54488i) q^{46} -4.14235 q^{47} +(-0.959493 - 0.281733i) q^{48} +(-6.15871 + 7.10753i) q^{49} +(0.841254 + 0.540641i) q^{50} +(-0.0417772 + 0.290567i) q^{51} +(-3.52319 + 2.26422i) q^{52} +(1.69935 + 3.72107i) q^{53} +(-0.654861 - 0.755750i) q^{54} +(-0.110652 - 0.769598i) q^{55} +(1.68254 - 3.68425i) q^{56} +(-1.71467 + 0.503473i) q^{57} +(2.70495 - 0.794245i) q^{58} +(-3.75952 + 8.23221i) q^{59} +(-0.142315 - 0.989821i) q^{60} +(-0.280885 - 0.324158i) q^{61} +(3.74802 + 8.20701i) q^{62} +(3.40730 - 2.18974i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-3.52319 - 2.26422i) q^{65} +(-0.509162 + 0.587605i) q^{66} +(-3.59690 - 1.05614i) q^{67} +0.293555 q^{68} +(1.88269 + 4.41084i) q^{69} +4.05026 q^{70} +(-9.31938 - 2.73642i) q^{71} +(-0.654861 + 0.755750i) q^{72} +(13.1960 + 8.48054i) q^{73} +(1.01155 - 7.03551i) q^{74} +(0.841254 - 0.540641i) q^{75} +(0.742372 + 1.62557i) q^{76} +(-2.06224 - 2.37995i) q^{77} +(0.596019 + 4.14540i) q^{78} +(-1.41045 + 3.08845i) q^{79} +(-0.959493 + 0.281733i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-0.872506 + 1.91052i) q^{82} +(-0.601899 - 4.18630i) q^{83} +(-2.65236 - 3.06098i) q^{84} +(0.121947 + 0.267027i) q^{85} +(5.91590 - 3.80192i) q^{86} +(0.401206 - 2.79045i) q^{87} +(0.654085 + 0.420355i) q^{88} +(-4.76064 + 5.49407i) q^{89} +(-0.959493 - 0.281733i) q^{90} -16.9626 q^{91} +(4.09801 - 2.49125i) q^{92} +9.02235 q^{93} +(3.97456 + 1.16704i) q^{94} +(-1.17028 + 1.35057i) q^{95} +(0.841254 + 0.540641i) q^{96} +(0.102356 - 0.711900i) q^{97} +(7.91166 - 5.08452i) q^{98} +(0.322990 + 0.707250i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q - 3q^{2} - 3q^{3} - 3q^{4} - 3q^{5} - 3q^{6} - 8q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 30q - 3q^{2} - 3q^{3} - 3q^{4} - 3q^{5} - 3q^{6} - 8q^{7} - 3q^{8} - 3q^{9} - 3q^{10} + 8q^{11} - 3q^{12} - 5q^{13} - 8q^{14} - 3q^{15} - 3q^{16} + 4q^{17} - 3q^{18} + 6q^{19} - 3q^{20} + 3q^{21} + 8q^{22} + q^{23} + 30q^{24} - 3q^{25} - 5q^{26} - 3q^{27} - 8q^{28} - 10q^{29} - 3q^{30} - 10q^{31} - 3q^{32} - 14q^{33} - 7q^{34} + 3q^{35} - 3q^{36} - 12q^{37} - 5q^{38} - 5q^{39} - 3q^{40} + 5q^{41} + 3q^{42} + 2q^{43} + 8q^{44} + 30q^{45} - 21q^{46} + 96q^{47} - 3q^{48} - 43q^{49} - 3q^{50} + 15q^{51} - 16q^{52} + 12q^{53} - 3q^{54} + 8q^{55} - 8q^{56} + 17q^{57} + q^{58} - 9q^{59} - 3q^{60} + q^{61} - 32q^{62} + 3q^{63} - 3q^{64} - 16q^{65} - 3q^{66} - 28q^{67} + 4q^{68} + 23q^{69} + 14q^{70} + 3q^{71} - 3q^{72} - 27q^{73} - 12q^{74} - 3q^{75} - 16q^{76} + 47q^{77} + 6q^{78} + 2q^{79} - 3q^{80} - 3q^{81} + 27q^{82} + 11q^{83} + 3q^{84} - 7q^{85} + 2q^{86} - 32q^{87} - 3q^{88} + 25q^{89} - 3q^{90} - 90q^{91} - 10q^{92} + 56q^{93} - 25q^{94} - 5q^{95} - 3q^{96} - 7q^{97} - 32q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{6}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) −0.654861 + 0.755750i −0.378084 + 0.436332i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) −0.142315 + 0.989821i −0.0636451 + 0.442662i
\(6\) 0.841254 0.540641i 0.343440 0.220716i
\(7\) 1.68254 + 3.68425i 0.635940 + 1.39251i 0.903339 + 0.428928i \(0.141109\pi\)
−0.267399 + 0.963586i \(0.586164\pi\)
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) −0.142315 0.989821i −0.0474383 0.329940i
\(10\) 0.415415 0.909632i 0.131366 0.287651i
\(11\) −0.746018 + 0.219051i −0.224933 + 0.0660462i −0.392257 0.919856i \(-0.628306\pi\)
0.167324 + 0.985902i \(0.446487\pi\)
\(12\) −0.959493 + 0.281733i −0.276982 + 0.0813292i
\(13\) −1.73977 + 3.80956i −0.482525 + 1.05658i 0.499236 + 0.866466i \(0.333614\pi\)
−0.981761 + 0.190117i \(0.939113\pi\)
\(14\) −0.576412 4.00903i −0.154053 1.07146i
\(15\) −0.654861 0.755750i −0.169084 0.195134i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) 0.246954 0.158708i 0.0598951 0.0384923i −0.510351 0.859966i \(-0.670484\pi\)
0.570246 + 0.821474i \(0.306848\pi\)
\(18\) −0.142315 + 0.989821i −0.0335439 + 0.233303i
\(19\) 1.50337 + 0.966158i 0.344897 + 0.221652i 0.701608 0.712563i \(-0.252466\pi\)
−0.356711 + 0.934215i \(0.616102\pi\)
\(20\) −0.654861 + 0.755750i −0.146431 + 0.168991i
\(21\) −3.88620 1.14109i −0.848038 0.249006i
\(22\) 0.777512 0.165766
\(23\) 2.10059 4.31132i 0.438004 0.898973i
\(24\) 1.00000 0.204124
\(25\) −0.959493 0.281733i −0.191899 0.0563465i
\(26\) 2.74258 3.16510i 0.537863 0.620727i
\(27\) 0.841254 + 0.540641i 0.161899 + 0.104046i
\(28\) −0.576412 + 4.00903i −0.108932 + 0.757636i
\(29\) −2.37162 + 1.52415i −0.440398 + 0.283027i −0.741991 0.670410i \(-0.766118\pi\)
0.301593 + 0.953437i \(0.402482\pi\)
\(30\) 0.415415 + 0.909632i 0.0758441 + 0.166075i
\(31\) −5.90838 6.81863i −1.06118 1.22466i −0.973542 0.228510i \(-0.926615\pi\)
−0.0876348 0.996153i \(-0.527931\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) 0.322990 0.707250i 0.0562254 0.123116i
\(34\) −0.281664 + 0.0827039i −0.0483049 + 0.0141836i
\(35\) −3.88620 + 1.14109i −0.656887 + 0.192879i
\(36\) 0.415415 0.909632i 0.0692358 0.151605i
\(37\) 1.01155 + 7.03551i 0.166298 + 1.15663i 0.886453 + 0.462818i \(0.153162\pi\)
−0.720155 + 0.693813i \(0.755929\pi\)
\(38\) −1.17028 1.35057i −0.189844 0.219092i
\(39\) −1.73977 3.80956i −0.278586 0.610018i
\(40\) 0.841254 0.540641i 0.133014 0.0854828i
\(41\) 0.298907 2.07895i 0.0466815 0.324677i −0.953078 0.302726i \(-0.902103\pi\)
0.999759 0.0219507i \(-0.00698767\pi\)
\(42\) 3.40730 + 2.18974i 0.525757 + 0.337884i
\(43\) −4.60514 + 5.31462i −0.702277 + 0.810471i −0.989058 0.147525i \(-0.952869\pi\)
0.286781 + 0.957996i \(0.407415\pi\)
\(44\) −0.746018 0.219051i −0.112466 0.0330231i
\(45\) 1.00000 0.149071
\(46\) −3.23014 + 3.54488i −0.476259 + 0.522664i
\(47\) −4.14235 −0.604224 −0.302112 0.953272i \(-0.597692\pi\)
−0.302112 + 0.953272i \(0.597692\pi\)
\(48\) −0.959493 0.281733i −0.138491 0.0406646i
\(49\) −6.15871 + 7.10753i −0.879816 + 1.01536i
\(50\) 0.841254 + 0.540641i 0.118971 + 0.0764582i
\(51\) −0.0417772 + 0.290567i −0.00584998 + 0.0406875i
\(52\) −3.52319 + 2.26422i −0.488579 + 0.313991i
\(53\) 1.69935 + 3.72107i 0.233424 + 0.511128i 0.989706 0.143119i \(-0.0457131\pi\)
−0.756281 + 0.654247i \(0.772986\pi\)
\(54\) −0.654861 0.755750i −0.0891153 0.102844i
\(55\) −0.110652 0.769598i −0.0149202 0.103773i
\(56\) 1.68254 3.68425i 0.224839 0.492328i
\(57\) −1.71467 + 0.503473i −0.227114 + 0.0666867i
\(58\) 2.70495 0.794245i 0.355177 0.104289i
\(59\) −3.75952 + 8.23221i −0.489448 + 1.07174i 0.490308 + 0.871549i \(0.336884\pi\)
−0.979756 + 0.200193i \(0.935843\pi\)
\(60\) −0.142315 0.989821i −0.0183728 0.127785i
\(61\) −0.280885 0.324158i −0.0359636 0.0415042i 0.737483 0.675366i \(-0.236014\pi\)
−0.773446 + 0.633862i \(0.781469\pi\)
\(62\) 3.74802 + 8.20701i 0.475999 + 1.04229i
\(63\) 3.40730 2.18974i 0.429279 0.275881i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) −3.52319 2.26422i −0.436998 0.280842i
\(66\) −0.509162 + 0.587605i −0.0626735 + 0.0723291i
\(67\) −3.59690 1.05614i −0.439431 0.129029i 0.0545311 0.998512i \(-0.482634\pi\)
−0.493962 + 0.869484i \(0.664452\pi\)
\(68\) 0.293555 0.0355987
\(69\) 1.88269 + 4.41084i 0.226649 + 0.531002i
\(70\) 4.05026 0.484099
\(71\) −9.31938 2.73642i −1.10601 0.324753i −0.322771 0.946477i \(-0.604614\pi\)
−0.783236 + 0.621724i \(0.786433\pi\)
\(72\) −0.654861 + 0.755750i −0.0771761 + 0.0890659i
\(73\) 13.1960 + 8.48054i 1.54447 + 0.992572i 0.986695 + 0.162581i \(0.0519818\pi\)
0.557777 + 0.829991i \(0.311655\pi\)
\(74\) 1.01155 7.03551i 0.117591 0.817862i
\(75\) 0.841254 0.540641i 0.0971396 0.0624278i
\(76\) 0.742372 + 1.62557i 0.0851559 + 0.186465i
\(77\) −2.06224 2.37995i −0.235014 0.271221i
\(78\) 0.596019 + 4.14540i 0.0674858 + 0.469374i
\(79\) −1.41045 + 3.08845i −0.158688 + 0.347478i −0.972230 0.234028i \(-0.924809\pi\)
0.813542 + 0.581506i \(0.197536\pi\)
\(80\) −0.959493 + 0.281733i −0.107275 + 0.0314987i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) −0.872506 + 1.91052i −0.0963522 + 0.210982i
\(83\) −0.601899 4.18630i −0.0660670 0.459506i −0.995821 0.0913251i \(-0.970890\pi\)
0.929754 0.368181i \(-0.120019\pi\)
\(84\) −2.65236 3.06098i −0.289396 0.333981i
\(85\) 0.121947 + 0.267027i 0.0132270 + 0.0289631i
\(86\) 5.91590 3.80192i 0.637928 0.409971i
\(87\) 0.401206 2.79045i 0.0430138 0.299168i
\(88\) 0.654085 + 0.420355i 0.0697257 + 0.0448100i
\(89\) −4.76064 + 5.49407i −0.504626 + 0.582370i −0.949715 0.313117i \(-0.898627\pi\)
0.445088 + 0.895487i \(0.353172\pi\)
\(90\) −0.959493 0.281733i −0.101139 0.0296972i
\(91\) −16.9626 −1.77816
\(92\) 4.09801 2.49125i 0.427247 0.259731i
\(93\) 9.02235 0.935574
\(94\) 3.97456 + 1.16704i 0.409944 + 0.120370i
\(95\) −1.17028 + 1.35057i −0.120068 + 0.138566i
\(96\) 0.841254 + 0.540641i 0.0858601 + 0.0551789i
\(97\) 0.102356 0.711900i 0.0103926 0.0722825i −0.983965 0.178361i \(-0.942920\pi\)
0.994358 + 0.106079i \(0.0338296\pi\)
\(98\) 7.91166 5.08452i 0.799198 0.513614i
\(99\) 0.322990 + 0.707250i 0.0324617 + 0.0710813i
\(100\) −0.654861 0.755750i −0.0654861 0.0755750i
\(101\) −1.53454 10.6729i −0.152692 1.06200i −0.911683 0.410895i \(-0.865216\pi\)
0.758990 0.651102i \(-0.225693\pi\)
\(102\) 0.121947 0.267027i 0.0120746 0.0264396i
\(103\) −0.393736 + 0.115611i −0.0387959 + 0.0113915i −0.301073 0.953601i \(-0.597345\pi\)
0.262277 + 0.964993i \(0.415527\pi\)
\(104\) 4.01838 1.17990i 0.394035 0.115699i
\(105\) 1.68254 3.68425i 0.164199 0.359546i
\(106\) −0.582173 4.04910i −0.0565456 0.393283i
\(107\) 7.38778 + 8.52595i 0.714203 + 0.824235i 0.990597 0.136810i \(-0.0436849\pi\)
−0.276394 + 0.961044i \(0.589139\pi\)
\(108\) 0.415415 + 0.909632i 0.0399733 + 0.0875294i
\(109\) 14.4807 9.30618i 1.38700 0.891370i 0.387464 0.921885i \(-0.373351\pi\)
0.999534 + 0.0305148i \(0.00971467\pi\)
\(110\) −0.110652 + 0.769598i −0.0105502 + 0.0733783i
\(111\) −5.97951 3.84280i −0.567550 0.364742i
\(112\) −2.65236 + 3.06098i −0.250624 + 0.289236i
\(113\) 1.43358 + 0.420937i 0.134860 + 0.0395984i 0.348466 0.937321i \(-0.386703\pi\)
−0.213606 + 0.976920i \(0.568521\pi\)
\(114\) 1.78706 0.167374
\(115\) 3.96850 + 2.69278i 0.370064 + 0.251103i
\(116\) −2.81915 −0.261751
\(117\) 4.01838 + 1.17990i 0.371500 + 0.109082i
\(118\) 5.92652 6.83957i 0.545580 0.629633i
\(119\) 1.00023 + 0.642807i 0.0916907 + 0.0589260i
\(120\) −0.142315 + 0.989821i −0.0129915 + 0.0903579i
\(121\) −8.74523 + 5.62022i −0.795021 + 0.510929i
\(122\) 0.178181 + 0.390162i 0.0161317 + 0.0353236i
\(123\) 1.37542 + 1.58732i 0.124017 + 0.143124i
\(124\) −1.28401 8.93051i −0.115308 0.801984i
\(125\) 0.415415 0.909632i 0.0371558 0.0813600i
\(126\) −3.88620 + 1.14109i −0.346210 + 0.101656i
\(127\) −2.03730 + 0.598205i −0.180781 + 0.0530821i −0.370870 0.928685i \(-0.620941\pi\)
0.190089 + 0.981767i \(0.439122\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) −1.00079 6.96067i −0.0881149 0.612853i
\(130\) 2.74258 + 3.16510i 0.240540 + 0.277598i
\(131\) −0.578105 1.26587i −0.0505093 0.110600i 0.882695 0.469947i \(-0.155727\pi\)
−0.933204 + 0.359347i \(0.883000\pi\)
\(132\) 0.654085 0.420355i 0.0569308 0.0365872i
\(133\) −1.03008 + 7.16439i −0.0893196 + 0.621231i
\(134\) 3.15365 + 2.02673i 0.272434 + 0.175082i
\(135\) −0.654861 + 0.755750i −0.0563614 + 0.0650446i
\(136\) −0.281664 0.0827039i −0.0241525 0.00709180i
\(137\) −8.01169 −0.684485 −0.342242 0.939612i \(-0.611186\pi\)
−0.342242 + 0.939612i \(0.611186\pi\)
\(138\) −0.563748 4.76258i −0.0479894 0.405418i
\(139\) 22.5693 1.91430 0.957151 0.289590i \(-0.0935190\pi\)
0.957151 + 0.289590i \(0.0935190\pi\)
\(140\) −3.88620 1.14109i −0.328444 0.0964397i
\(141\) 2.71266 3.13058i 0.228447 0.263642i
\(142\) 8.17094 + 5.25115i 0.685690 + 0.440666i
\(143\) 0.463412 3.22310i 0.0387524 0.269529i
\(144\) 0.841254 0.540641i 0.0701045 0.0450534i
\(145\) −1.17112 2.56438i −0.0972558 0.212961i
\(146\) −10.2722 11.8548i −0.850133 0.981106i
\(147\) −1.33842 9.30888i −0.110391 0.767784i
\(148\) −2.95271 + 6.46554i −0.242711 + 0.531464i
\(149\) 12.8431 3.77108i 1.05215 0.308939i 0.290463 0.956886i \(-0.406191\pi\)
0.761685 + 0.647947i \(0.224372\pi\)
\(150\) −0.959493 + 0.281733i −0.0783423 + 0.0230034i
\(151\) 3.78765 8.29379i 0.308234 0.674939i −0.690598 0.723238i \(-0.742653\pi\)
0.998833 + 0.0482991i \(0.0153801\pi\)
\(152\) −0.254325 1.76887i −0.0206285 0.143474i
\(153\) −0.192237 0.221854i −0.0155415 0.0179358i
\(154\) 1.30819 + 2.86455i 0.105417 + 0.230832i
\(155\) 7.59008 4.87785i 0.609650 0.391798i
\(156\) 0.596019 4.14540i 0.0477197 0.331898i
\(157\) 12.9304 + 8.30988i 1.03196 + 0.663201i 0.942986 0.332833i \(-0.108005\pi\)
0.0889748 + 0.996034i \(0.471641\pi\)
\(158\) 2.22343 2.56598i 0.176887 0.204138i
\(159\) −3.92503 1.15249i −0.311275 0.0913987i
\(160\) 1.00000 0.0790569
\(161\) 19.4183 + 0.485125i 1.53038 + 0.0382332i
\(162\) 1.00000 0.0785674
\(163\) −10.4642 3.07257i −0.819620 0.240662i −0.155068 0.987904i \(-0.549560\pi\)
−0.664552 + 0.747242i \(0.731378\pi\)
\(164\) 1.37542 1.58732i 0.107402 0.123949i
\(165\) 0.654085 + 0.420355i 0.0509204 + 0.0327246i
\(166\) −0.601899 + 4.18630i −0.0467164 + 0.324920i
\(167\) 1.54438 0.992513i 0.119508 0.0768030i −0.479521 0.877530i \(-0.659190\pi\)
0.599029 + 0.800727i \(0.295553\pi\)
\(168\) 1.68254 + 3.68425i 0.129811 + 0.284246i
\(169\) −2.97279 3.43078i −0.228676 0.263906i
\(170\) −0.0417772 0.290567i −0.00320416 0.0222854i
\(171\) 0.742372 1.62557i 0.0567706 0.124310i
\(172\) −6.74739 + 1.98121i −0.514484 + 0.151066i
\(173\) 11.1622 3.27752i 0.848647 0.249185i 0.171638 0.985160i \(-0.445094\pi\)
0.677009 + 0.735975i \(0.263276\pi\)
\(174\) −1.17112 + 2.56438i −0.0887820 + 0.194406i
\(175\) −0.576412 4.00903i −0.0435727 0.303055i
\(176\) −0.509162 0.587605i −0.0383795 0.0442924i
\(177\) −3.75952 8.23221i −0.282583 0.618771i
\(178\) 6.11565 3.93029i 0.458388 0.294588i
\(179\) −2.42001 + 16.8315i −0.180880 + 1.25805i 0.673808 + 0.738906i \(0.264657\pi\)
−0.854688 + 0.519142i \(0.826252\pi\)
\(180\) 0.841254 + 0.540641i 0.0627033 + 0.0402970i
\(181\) 15.4585 17.8401i 1.14902 1.32604i 0.211800 0.977313i \(-0.432068\pi\)
0.937223 0.348730i \(-0.113387\pi\)
\(182\) 16.2755 + 4.77892i 1.20642 + 0.354237i
\(183\) 0.428923 0.0317069
\(184\) −4.63388 + 1.23580i −0.341614 + 0.0911041i
\(185\) −7.10786 −0.522580
\(186\) −8.65688 2.54189i −0.634753 0.186380i
\(187\) −0.149467 + 0.172494i −0.0109301 + 0.0126140i
\(188\) −3.48477 2.23952i −0.254153 0.163334i
\(189\) −0.576412 + 4.00903i −0.0419278 + 0.291614i
\(190\) 1.50337 0.966158i 0.109066 0.0700925i
\(191\) −1.24849 2.73381i −0.0903377 0.197812i 0.859070 0.511858i \(-0.171043\pi\)
−0.949408 + 0.314046i \(0.898315\pi\)
\(192\) −0.654861 0.755750i −0.0472605 0.0545415i
\(193\) 0.641449 + 4.46138i 0.0461725 + 0.321137i 0.999797 + 0.0201387i \(0.00641077\pi\)
−0.953625 + 0.300998i \(0.902680\pi\)
\(194\) −0.298775 + 0.654226i −0.0214508 + 0.0469707i
\(195\) 4.01838 1.17990i 0.287762 0.0844947i
\(196\) −9.02366 + 2.64958i −0.644547 + 0.189256i
\(197\) 3.88442 8.50570i 0.276754 0.606006i −0.719306 0.694694i \(-0.755540\pi\)
0.996060 + 0.0886874i \(0.0282672\pi\)
\(198\) −0.110652 0.769598i −0.00786366 0.0546930i
\(199\) 14.1670 + 16.3496i 1.00427 + 1.15899i 0.987257 + 0.159136i \(0.0508707\pi\)
0.0170145 + 0.999855i \(0.494584\pi\)
\(200\) 0.415415 + 0.909632i 0.0293743 + 0.0643207i
\(201\) 3.15365 2.02673i 0.222441 0.142954i
\(202\) −1.53454 + 10.6729i −0.107970 + 0.750945i
\(203\) −9.60566 6.17318i −0.674185 0.433273i
\(204\) −0.192237 + 0.221854i −0.0134593 + 0.0155329i
\(205\) 2.01525 + 0.591730i 0.140751 + 0.0413282i
\(206\) 0.410358 0.0285910
\(207\) −4.56639 1.46564i −0.317386 0.101869i
\(208\) −4.18803 −0.290387
\(209\) −1.33318 0.391457i −0.0922179 0.0270776i
\(210\) −2.65236 + 3.06098i −0.183030 + 0.211228i
\(211\) −18.8611 12.1213i −1.29845 0.834465i −0.305411 0.952221i \(-0.598794\pi\)
−0.993043 + 0.117756i \(0.962430\pi\)
\(212\) −0.582173 + 4.04910i −0.0399838 + 0.278093i
\(213\) 8.17094 5.25115i 0.559864 0.359803i
\(214\) −4.68648 10.2620i −0.320361 0.701494i
\(215\) −4.60514 5.31462i −0.314068 0.362454i
\(216\) −0.142315 0.989821i −0.00968330 0.0673488i
\(217\) 15.1804 33.2405i 1.03052 2.25652i
\(218\) −16.5160 + 4.84953i −1.11860 + 0.328451i
\(219\) −15.0507 + 4.41928i −1.01703 + 0.298627i
\(220\) 0.322990 0.707250i 0.0217760 0.0476828i
\(221\) 0.174964 + 1.21690i 0.0117694 + 0.0818576i
\(222\) 4.65466 + 5.37176i 0.312400 + 0.360529i
\(223\) −9.56806 20.9511i −0.640725 1.40299i −0.899443 0.437038i \(-0.856027\pi\)
0.258718 0.965953i \(-0.416700\pi\)
\(224\) 3.40730 2.18974i 0.227660 0.146308i
\(225\) −0.142315 + 0.989821i −0.00948766 + 0.0659881i
\(226\) −1.25692 0.807772i −0.0836089 0.0537322i
\(227\) −3.27545 + 3.78007i −0.217399 + 0.250892i −0.853965 0.520330i \(-0.825809\pi\)
0.636566 + 0.771222i \(0.280354\pi\)
\(228\) −1.71467 0.503473i −0.113557 0.0333433i
\(229\) 1.69592 0.112069 0.0560347 0.998429i \(-0.482154\pi\)
0.0560347 + 0.998429i \(0.482154\pi\)
\(230\) −3.04910 3.70175i −0.201052 0.244086i
\(231\) 3.14913 0.207197
\(232\) 2.70495 + 0.794245i 0.177589 + 0.0521447i
\(233\) −12.7354 + 14.6974i −0.834323 + 0.962860i −0.999727 0.0233657i \(-0.992562\pi\)
0.165404 + 0.986226i \(0.447107\pi\)
\(234\) −3.52319 2.26422i −0.230318 0.148017i
\(235\) 0.589518 4.10019i 0.0384559 0.267467i
\(236\) −7.61338 + 4.89282i −0.495589 + 0.318496i
\(237\) −1.41045 3.08845i −0.0916185 0.200617i
\(238\) −0.778612 0.898566i −0.0504699 0.0582454i
\(239\) −1.48422 10.3230i −0.0960061 0.667737i −0.979818 0.199894i \(-0.935940\pi\)
0.883811 0.467843i \(-0.154969\pi\)
\(240\) 0.415415 0.909632i 0.0268149 0.0587165i
\(241\) 16.8684 4.95301i 1.08659 0.319051i 0.311078 0.950385i \(-0.399310\pi\)
0.775512 + 0.631333i \(0.217492\pi\)
\(242\) 9.97438 2.92874i 0.641178 0.188267i
\(243\) 0.415415 0.909632i 0.0266489 0.0583529i
\(244\) −0.0610420 0.424557i −0.00390782 0.0271795i
\(245\) −6.15871 7.10753i −0.393466 0.454083i
\(246\) −0.872506 1.91052i −0.0556290 0.121810i
\(247\) −6.29616 + 4.04630i −0.400615 + 0.257460i
\(248\) −1.28401 + 8.93051i −0.0815349 + 0.567088i
\(249\) 3.55795 + 2.28656i 0.225476 + 0.144905i
\(250\) −0.654861 + 0.755750i −0.0414170 + 0.0477978i
\(251\) 28.8648 + 8.47548i 1.82193 + 0.534967i 0.999429 0.0337932i \(-0.0107588\pi\)
0.822503 + 0.568761i \(0.192577\pi\)
\(252\) 4.05026 0.255142
\(253\) −0.622680 + 3.67646i −0.0391476 + 0.231137i
\(254\) 2.12331 0.133228
\(255\) −0.281664 0.0827039i −0.0176385 0.00517912i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 18.4803 + 11.8765i 1.15277 + 0.740838i 0.970188 0.242353i \(-0.0779193\pi\)
0.182579 + 0.983191i \(0.441556\pi\)
\(258\) −1.00079 + 6.96067i −0.0623066 + 0.433352i
\(259\) −24.2186 + 15.5643i −1.50487 + 0.967121i
\(260\) −1.73977 3.80956i −0.107896 0.236259i
\(261\) 1.84615 + 2.13057i 0.114274 + 0.131879i
\(262\) 0.198050 + 1.37747i 0.0122356 + 0.0851002i
\(263\) −8.84525 + 19.3684i −0.545421 + 1.19431i 0.413466 + 0.910519i \(0.364318\pi\)
−0.958887 + 0.283787i \(0.908409\pi\)
\(264\) −0.746018 + 0.219051i −0.0459142 + 0.0134816i
\(265\) −3.92503 + 1.15249i −0.241113 + 0.0707971i
\(266\) 3.00680 6.58397i 0.184359 0.403689i
\(267\) −1.03458 7.19570i −0.0633156 0.440369i
\(268\) −2.45491 2.83311i −0.149957 0.173060i
\(269\) 11.1174 + 24.3438i 0.677841 + 1.48427i 0.864914 + 0.501920i \(0.167373\pi\)
−0.187073 + 0.982346i \(0.559900\pi\)
\(270\) 0.841254 0.540641i 0.0511971 0.0329024i
\(271\) −2.02076 + 14.0547i −0.122753 + 0.853762i 0.831663 + 0.555281i \(0.187389\pi\)
−0.954415 + 0.298482i \(0.903520\pi\)
\(272\) 0.246954 + 0.158708i 0.0149738 + 0.00962306i
\(273\) 11.1081 12.8195i 0.672295 0.775870i
\(274\) 7.68716 + 2.25715i 0.464398 + 0.136360i
\(275\) 0.777512 0.0468858
\(276\) −0.800862 + 4.72849i −0.0482062 + 0.284622i
\(277\) 16.9832 1.02042 0.510211 0.860049i \(-0.329567\pi\)
0.510211 + 0.860049i \(0.329567\pi\)
\(278\) −21.6551 6.35850i −1.29878 0.381358i
\(279\) −5.90838 + 6.81863i −0.353725 + 0.408221i
\(280\) 3.40730 + 2.18974i 0.203625 + 0.130862i
\(281\) −2.58120 + 17.9526i −0.153981 + 1.07096i 0.755479 + 0.655173i \(0.227404\pi\)
−0.909460 + 0.415791i \(0.863505\pi\)
\(282\) −3.48477 + 2.23952i −0.207515 + 0.133362i
\(283\) 0.781211 + 1.71061i 0.0464382 + 0.101685i 0.931429 0.363923i \(-0.118563\pi\)
−0.884991 + 0.465608i \(0.845836\pi\)
\(284\) −6.36054 7.34046i −0.377429 0.435576i
\(285\) −0.254325 1.76887i −0.0150649 0.104779i
\(286\) −1.35269 + 2.96198i −0.0799864 + 0.175146i
\(287\) 8.16227 2.39666i 0.481804 0.141470i
\(288\) −0.959493 + 0.281733i −0.0565387 + 0.0166013i
\(289\) −7.02626 + 15.3854i −0.413309 + 0.905021i
\(290\) 0.401206 + 2.79045i 0.0235596 + 0.163861i
\(291\) 0.470989 + 0.543550i 0.0276099 + 0.0318635i
\(292\) 6.51623 + 14.2686i 0.381334 + 0.835005i
\(293\) −23.5717 + 15.1486i −1.37707 + 0.884992i −0.999165 0.0408512i \(-0.986993\pi\)
−0.377909 + 0.925843i \(0.623357\pi\)
\(294\) −1.33842 + 9.30888i −0.0780580 + 0.542905i
\(295\) −7.61338 4.89282i −0.443268 0.284871i
\(296\) 4.65466 5.37176i 0.270547 0.312227i
\(297\) −0.746018 0.219051i −0.0432883 0.0127106i
\(298\) −13.3853 −0.775390
\(299\) 12.7697 + 15.5030i 0.738492 + 0.896564i
\(300\) 1.00000 0.0577350
\(301\) −27.3287 8.02443i −1.57520 0.462520i
\(302\) −5.97085 + 6.89073i −0.343584 + 0.396517i
\(303\) 9.07098 + 5.82956i 0.521114 + 0.334900i
\(304\) −0.254325 + 1.76887i −0.0145866 + 0.101452i
\(305\) 0.360833 0.231893i 0.0206612 0.0132782i
\(306\) 0.121947 + 0.267027i 0.00697125 + 0.0152649i
\(307\) −8.52960 9.84369i −0.486810 0.561809i 0.458200 0.888849i \(-0.348494\pi\)
−0.945010 + 0.327040i \(0.893949\pi\)
\(308\) −0.448168 3.11707i −0.0255367 0.177612i
\(309\) 0.170469 0.373275i 0.00969763 0.0212349i
\(310\) −8.65688 + 2.54189i −0.491678 + 0.144370i
\(311\) 28.6369 8.40856i 1.62385 0.476806i 0.661802 0.749679i \(-0.269792\pi\)
0.962050 + 0.272873i \(0.0879739\pi\)
\(312\) −1.73977 + 3.80956i −0.0984951 + 0.215674i
\(313\) −0.571095 3.97205i −0.0322802 0.224514i 0.967295 0.253654i \(-0.0816323\pi\)
−0.999575 + 0.0291397i \(0.990723\pi\)
\(314\) −10.0655 11.6162i −0.568029 0.655540i
\(315\) 1.68254 + 3.68425i 0.0948003 + 0.207584i
\(316\) −2.85629 + 1.83562i −0.160679 + 0.103262i
\(317\) −4.05714 + 28.2180i −0.227871 + 1.58488i 0.479179 + 0.877717i \(0.340935\pi\)
−0.707050 + 0.707164i \(0.749974\pi\)
\(318\) 3.44135 + 2.21162i 0.192981 + 0.124021i
\(319\) 1.43540 1.65654i 0.0803671 0.0927486i
\(320\) −0.959493 0.281733i −0.0536373 0.0157493i
\(321\) −11.2814 −0.629669
\(322\) −18.4951 5.93624i −1.03069 0.330814i
\(323\) 0.524600 0.0291895
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) 2.74258 3.16510i 0.152131 0.175568i
\(326\) 9.17469 + 5.89622i 0.508139 + 0.326561i
\(327\) −2.44970 + 17.0380i −0.135469 + 0.942205i
\(328\) −1.76691 + 1.13552i −0.0975610 + 0.0626987i
\(329\) −6.96967 15.2614i −0.384250 0.841391i
\(330\) −0.509162 0.587605i −0.0280285 0.0323466i
\(331\) 1.08707 + 7.56074i 0.0597508 + 0.415576i 0.997641 + 0.0686443i \(0.0218673\pi\)
−0.937890 + 0.346932i \(0.887224\pi\)
\(332\) 1.75693 3.84715i 0.0964243 0.211140i
\(333\) 6.81994 2.00252i 0.373730 0.109737i
\(334\) −1.76145 + 0.517207i −0.0963820 + 0.0283003i
\(335\) 1.55729 3.40998i 0.0850836 0.186307i
\(336\) −0.576412 4.00903i −0.0314459 0.218711i
\(337\) −1.41217 1.62973i −0.0769259 0.0887773i 0.715982 0.698119i \(-0.245979\pi\)
−0.792908 + 0.609342i \(0.791434\pi\)
\(338\) 1.88581 + 4.12935i 0.102574 + 0.224607i
\(339\) −1.25692 + 0.807772i −0.0682664 + 0.0438721i
\(340\) −0.0417772 + 0.290567i −0.00226569 + 0.0157582i
\(341\) 5.90138 + 3.79259i 0.319578 + 0.205380i
\(342\) −1.17028 + 1.35057i −0.0632813 + 0.0730305i
\(343\) −9.34479 2.74388i −0.504571 0.148155i
\(344\) 7.03225 0.379153
\(345\) −4.63388 + 1.23580i −0.249480 + 0.0665330i
\(346\) −11.6334 −0.625418
\(347\) −5.53220 1.62440i −0.296984 0.0872024i 0.129846 0.991534i \(-0.458552\pi\)
−0.426830 + 0.904332i \(0.640370\pi\)
\(348\) 1.84615 2.13057i 0.0989639 0.114210i
\(349\) 16.0806 + 10.3344i 0.860777 + 0.553188i 0.894919 0.446229i \(-0.147233\pi\)
−0.0341416 + 0.999417i \(0.510870\pi\)
\(350\) −0.576412 + 4.00903i −0.0308105 + 0.214292i
\(351\) −3.52319 + 2.26422i −0.188054 + 0.120855i
\(352\) 0.322990 + 0.707250i 0.0172154 + 0.0376966i
\(353\) 10.5755 + 12.2048i 0.562877 + 0.649594i 0.963834 0.266502i \(-0.0858680\pi\)
−0.400958 + 0.916097i \(0.631323\pi\)
\(354\) 1.28796 + 8.95793i 0.0684541 + 0.476108i
\(355\) 4.03485 8.83509i 0.214148 0.468918i
\(356\) −6.97522 + 2.04811i −0.369686 + 0.108550i
\(357\) −1.14081 + 0.334972i −0.0603781 + 0.0177286i
\(358\) 7.06397 15.4679i 0.373343 0.817506i
\(359\) −1.31708 9.16049i −0.0695128 0.483472i −0.994605 0.103731i \(-0.966922\pi\)
0.925093 0.379742i \(-0.123987\pi\)
\(360\) −0.654861 0.755750i −0.0345142 0.0398315i
\(361\) −6.56622 14.3780i −0.345591 0.756738i
\(362\) −19.8585 + 12.7623i −1.04374 + 0.670770i
\(363\) 1.47943 10.2897i 0.0776500 0.540067i
\(364\) −14.2699 9.17068i −0.747943 0.480674i
\(365\) −10.2722 + 11.8548i −0.537672 + 0.620506i
\(366\) −0.411548 0.120841i −0.0215120 0.00631648i
\(367\) −34.2323 −1.78691 −0.893455 0.449153i \(-0.851726\pi\)
−0.893455 + 0.449153i \(0.851726\pi\)
\(368\) 4.79434 + 0.119776i 0.249922 + 0.00624377i
\(369\) −2.10032 −0.109339
\(370\) 6.81994 + 2.00252i 0.354552 + 0.104106i
\(371\) −10.8501 + 12.5217i −0.563309 + 0.650093i
\(372\) 7.59008 + 4.87785i 0.393527 + 0.252905i
\(373\) −3.30591 + 22.9931i −0.171173 + 1.19054i 0.705237 + 0.708972i \(0.250841\pi\)
−0.876410 + 0.481565i \(0.840069\pi\)
\(374\) 0.192010 0.123397i 0.00992858 0.00638071i
\(375\) 0.415415 + 0.909632i 0.0214519 + 0.0469732i
\(376\) 2.71266 + 3.13058i 0.139895 + 0.161447i
\(377\) −1.68026 11.6865i −0.0865379 0.601885i
\(378\) 1.68254 3.68425i 0.0865405 0.189497i
\(379\) 30.8601 9.06133i 1.58518 0.465449i 0.633803 0.773494i \(-0.281493\pi\)
0.951372 + 0.308045i \(0.0996747\pi\)
\(380\) −1.71467 + 0.503473i −0.0879609 + 0.0258276i
\(381\) 0.882054 1.93143i 0.0451890 0.0989501i
\(382\) 0.427714 + 2.97482i 0.0218838 + 0.152205i
\(383\) −19.8013 22.8520i −1.01180 1.16768i −0.985784 0.168020i \(-0.946263\pi\)
−0.0260178 0.999661i \(-0.508283\pi\)
\(384\) 0.415415 + 0.909632i 0.0211991 + 0.0464195i
\(385\) 2.64921 1.70255i 0.135016 0.0867698i
\(386\) 0.641449 4.46138i 0.0326489 0.227078i
\(387\) 5.91590 + 3.80192i 0.300722 + 0.193262i
\(388\) 0.470989 0.543550i 0.0239109 0.0275946i
\(389\) −15.5167 4.55612i −0.786728 0.231004i −0.136396 0.990654i \(-0.543552\pi\)
−0.650332 + 0.759650i \(0.725370\pi\)
\(390\) −4.18803 −0.212069
\(391\) −0.165491 1.39808i −0.00836923 0.0707039i
\(392\) 9.40461 0.475005
\(393\) 1.33526 + 0.392068i 0.0673550 + 0.0197772i
\(394\) −6.12341 + 7.06679i −0.308493 + 0.356020i
\(395\) −2.85629 1.83562i −0.143715 0.0923603i
\(396\) −0.110652 + 0.769598i −0.00556045 + 0.0386738i
\(397\) 19.0274 12.2282i 0.954957 0.613713i 0.0323586 0.999476i \(-0.489698\pi\)
0.922598 + 0.385763i \(0.126062\pi\)
\(398\) −8.98692 19.6786i −0.450474 0.986399i
\(399\) −4.73992 5.47016i −0.237293 0.273851i
\(400\) −0.142315 0.989821i −0.00711574 0.0494911i
\(401\) −11.5664 + 25.3269i −0.577598 + 1.26476i 0.365054 + 0.930986i \(0.381051\pi\)
−0.942652 + 0.333777i \(0.891677\pi\)
\(402\) −3.59690 + 1.05614i −0.179397 + 0.0526757i
\(403\) 36.2552 10.6455i 1.80600 0.530290i
\(404\) 4.47929 9.80828i 0.222853 0.487980i
\(405\) −0.142315 0.989821i −0.00707168 0.0491846i
\(406\) 7.47738 + 8.62936i 0.371096 + 0.428268i
\(407\) −2.29577 5.02703i −0.113797 0.249181i
\(408\) 0.246954 0.158708i 0.0122260 0.00785720i
\(409\) 1.31801 9.16699i 0.0651716 0.453278i −0.930940 0.365173i \(-0.881010\pi\)
0.996111 0.0881051i \(-0.0280811\pi\)
\(410\) −1.76691 1.13552i −0.0872612 0.0560794i
\(411\) 5.24654 6.05483i 0.258793 0.298663i
\(412\) −0.393736 0.115611i −0.0193980 0.00569575i
\(413\) −36.6550 −1.80368
\(414\) 3.96850 + 2.69278i 0.195041 + 0.132343i
\(415\) 4.22935 0.207611
\(416\) 4.01838 + 1.17990i 0.197017 + 0.0578495i
\(417\) −14.7797 + 17.0567i −0.723767 + 0.835271i
\(418\) 1.16889 + 0.751200i 0.0571723 + 0.0367424i
\(419\) −0.395685 + 2.75205i −0.0193305 + 0.134446i −0.997201 0.0747630i \(-0.976180\pi\)
0.977871 + 0.209209i \(0.0670891\pi\)
\(420\) 3.40730 2.18974i 0.166259 0.106848i
\(421\) −2.68536 5.88011i −0.130876 0.286579i 0.832837 0.553518i \(-0.186715\pi\)
−0.963713 + 0.266939i \(0.913988\pi\)
\(422\) 14.6821 + 16.9441i 0.714716 + 0.824826i
\(423\) 0.589518 + 4.10019i 0.0286633 + 0.199358i
\(424\) 1.69935 3.72107i 0.0825279 0.180711i
\(425\) −0.281664 + 0.0827039i −0.0136627 + 0.00401173i
\(426\) −9.31938 + 2.73642i −0.451526 + 0.132580i
\(427\) 0.721679 1.58026i 0.0349245 0.0764740i
\(428\) 1.60552 + 11.1666i 0.0776056 + 0.539759i
\(429\) 2.13239 + 2.46090i 0.102953 + 0.118814i
\(430\) 2.92130 + 6.39676i 0.140878 + 0.308479i
\(431\) 16.3674 10.5187i 0.788388 0.506666i −0.0834197 0.996515i \(-0.526584\pi\)
0.871808 + 0.489848i \(0.162948\pi\)
\(432\) −0.142315 + 0.989821i −0.00684713 + 0.0476228i
\(433\) 20.7724 + 13.3496i 0.998256 + 0.641540i 0.934328 0.356414i \(-0.116001\pi\)
0.0639281 + 0.997955i \(0.479637\pi\)
\(434\) −23.9305 + 27.6172i −1.14870 + 1.32567i
\(435\) 2.70495 + 0.794245i 0.129692 + 0.0380811i
\(436\) 17.2132 0.824364
\(437\) 7.32339 4.45202i 0.350325 0.212969i
\(438\) 15.6861 0.749510
\(439\) −11.4425 3.35983i −0.546122 0.160356i −0.00297839 0.999996i \(-0.500948\pi\)
−0.543144 + 0.839640i \(0.682766\pi\)
\(440\) −0.509162 + 0.587605i −0.0242734 + 0.0280129i
\(441\) 7.91166 + 5.08452i 0.376746 + 0.242120i
\(442\) 0.174964 1.21690i 0.00832219 0.0578821i
\(443\) −18.0120 + 11.5756i −0.855775 + 0.549973i −0.893371 0.449320i \(-0.851666\pi\)
0.0375959 + 0.999293i \(0.488030\pi\)
\(444\) −2.95271 6.46554i −0.140129 0.306841i
\(445\) −4.76064 5.49407i −0.225676 0.260444i
\(446\) 3.27787 + 22.7981i 0.155212 + 1.07952i
\(447\) −5.56046 + 12.1757i −0.263001 + 0.575891i
\(448\) −3.88620 + 1.14109i −0.183606 + 0.0539114i
\(449\) 35.9807 10.5649i 1.69804 0.498588i 0.717772 0.696279i \(-0.245162\pi\)
0.980265 + 0.197690i \(0.0633440\pi\)
\(450\) 0.415415 0.909632i 0.0195829 0.0428805i
\(451\) 0.232404 + 1.61641i 0.0109435 + 0.0761136i
\(452\) 0.978428 + 1.12917i 0.0460214 + 0.0531115i
\(453\) 3.78765 + 8.29379i 0.177959 + 0.389676i
\(454\) 4.20774 2.70415i 0.197479 0.126912i
\(455\) 2.41403 16.7899i 0.113171 0.787125i
\(456\) 1.50337 + 0.966158i 0.0704018 + 0.0452445i
\(457\) 7.68966 8.87434i 0.359707 0.415124i −0.546834 0.837241i \(-0.684167\pi\)
0.906542 + 0.422117i \(0.138713\pi\)
\(458\) −1.62722 0.477795i −0.0760350 0.0223259i
\(459\) 0.293555 0.0137020
\(460\) 1.88269 + 4.41084i 0.0877807 + 0.205656i
\(461\) −25.2443 −1.17575 −0.587873 0.808953i \(-0.700034\pi\)
−0.587873 + 0.808953i \(0.700034\pi\)
\(462\) −3.02157 0.887212i −0.140576 0.0412768i
\(463\) 19.2732 22.2425i 0.895704 1.03370i −0.103533 0.994626i \(-0.533015\pi\)
0.999236 0.0390712i \(-0.0124399\pi\)
\(464\) −2.37162 1.52415i −0.110100 0.0707567i
\(465\) −1.28401 + 8.93051i −0.0595447 + 0.414143i
\(466\) 16.3603 10.5141i 0.757874 0.487056i
\(467\) −3.93063 8.60687i −0.181888 0.398279i 0.796622 0.604477i \(-0.206618\pi\)
−0.978510 + 0.206199i \(0.933891\pi\)
\(468\) 2.74258 + 3.16510i 0.126776 + 0.146307i
\(469\) −2.16082 15.0289i −0.0997776 0.693968i
\(470\) −1.72079 + 3.76802i −0.0793743 + 0.173806i
\(471\) −14.7478 + 4.33035i −0.679544 + 0.199532i
\(472\) 8.68345 2.54969i 0.399688 0.117359i
\(473\) 2.27135 4.97356i 0.104437 0.228684i
\(474\) 0.483198 + 3.36072i 0.0221940 + 0.154363i
\(475\) −1.17028 1.35057i −0.0536960 0.0619684i
\(476\) 0.493917 + 1.08153i 0.0226387 + 0.0495717i
\(477\) 3.44135 2.21162i 0.157568 0.101263i
\(478\) −1.48422 + 10.3230i −0.0678866 + 0.472162i
\(479\) −28.9976 18.6356i −1.32493 0.851484i −0.329246 0.944244i \(-0.606795\pi\)
−0.995688 + 0.0927604i \(0.970431\pi\)
\(480\) −0.654861 + 0.755750i −0.0298902 + 0.0344951i
\(481\) −28.5621 8.38659i −1.30232 0.382396i
\(482\) −17.5805 −0.800772
\(483\) −13.0829 + 14.3577i −0.595293 + 0.653297i
\(484\) −10.3955 −0.472522
\(485\) 0.690087 + 0.202628i 0.0313352 + 0.00920085i
\(486\) −0.654861 + 0.755750i −0.0297051 + 0.0342815i
\(487\) −22.2993 14.3309i −1.01048 0.649393i −0.0729595 0.997335i \(-0.523244\pi\)
−0.937516 + 0.347942i \(0.886881\pi\)
\(488\) −0.0610420 + 0.424557i −0.00276324 + 0.0192188i
\(489\) 9.17469 5.89622i 0.414894 0.266636i
\(490\) 3.90682 + 8.55473i 0.176492 + 0.386463i
\(491\) 26.4467 + 30.5211i 1.19352 + 1.37740i 0.907970 + 0.419035i \(0.137632\pi\)
0.285552 + 0.958363i \(0.407823\pi\)
\(492\) 0.298907 + 2.07895i 0.0134758 + 0.0937261i
\(493\) −0.343786 + 0.752787i −0.0154834 + 0.0339038i
\(494\) 7.18110 2.10856i 0.323093 0.0948686i
\(495\) −0.746018 + 0.219051i −0.0335310 + 0.00984559i
\(496\) 3.74802 8.20701i 0.168291 0.368506i
\(497\) −5.59859 38.9390i −0.251131 1.74665i
\(498\) −2.76963 3.19633i −0.124110 0.143231i
\(499\) 9.54541 + 20.9015i 0.427311 + 0.935681i 0.993755 + 0.111581i \(0.0355913\pi\)
−0.566444 + 0.824100i \(0.691681\pi\)
\(500\) 0.841254 0.540641i 0.0376220 0.0241782i
\(501\) −0.261263 + 1.81712i −0.0116724 + 0.0811831i
\(502\) −25.3078 16.2643i −1.12954 0.725912i
\(503\) 18.8691 21.7761i 0.841330 0.970947i −0.158535 0.987353i \(-0.550677\pi\)
0.999865 + 0.0164067i \(0.00522264\pi\)
\(504\) −3.88620 1.14109i −0.173105 0.0508282i
\(505\) 10.7827 0.479823
\(506\) 1.63324 3.35211i 0.0726062 0.149019i
\(507\) 4.53958 0.201610
\(508\) −2.03730 0.598205i −0.0903906 0.0265411i
\(509\) −22.3329 + 25.7736i −0.989890 + 1.14239i −7.94231e−5 1.00000i \(0.500025\pi\)
−0.989810 + 0.142393i \(0.954520\pi\)
\(510\) 0.246954 + 0.158708i 0.0109353 + 0.00702769i
\(511\) −9.04165 + 62.8861i −0.399979 + 2.78192i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) 0.742372 + 1.62557i 0.0327765 + 0.0717706i
\(514\) −14.3857 16.6019i −0.634525 0.732280i
\(515\) −0.0584000 0.406181i −0.00257341 0.0178985i
\(516\) 2.92130 6.39676i 0.128603 0.281601i
\(517\) 3.09027 0.907384i 0.135910 0.0399067i
\(518\) 27.6225 8.11071i 1.21366 0.356364i
\(519\) −4.83271 + 10.5822i −0.212132 + 0.464505i
\(520\) 0.596019 + 4.14540i 0.0261371 + 0.181788i
\(521\) 18.4772 + 21.3239i 0.809502 + 0.934215i 0.998862 0.0476927i \(-0.0151868\pi\)
−0.189360 + 0.981908i \(0.560641\pi\)
\(522\) −1.17112 2.56438i −0.0512583 0.112240i
\(523\) 27.9055 17.9338i 1.22022 0.784190i 0.237884 0.971294i \(-0.423546\pi\)
0.982340 + 0.187103i \(0.0599099\pi\)
\(524\) 0.198050 1.37747i 0.00865185 0.0601750i
\(525\) 3.40730 + 2.18974i 0.148707 + 0.0955679i
\(526\) 13.9437 16.0918i 0.607972 0.701638i
\(527\) −2.54127 0.746183i −0.110699 0.0325043i
\(528\) 0.777512 0.0338369
\(529\) −14.1750 18.1127i −0.616306 0.787507i
\(530\) 4.09074 0.177690
\(531\) 8.68345 + 2.54969i 0.376830 + 0.110647i
\(532\) −4.73992 + 5.47016i −0.205502 + 0.237162i
\(533\) 7.39985 + 4.75559i 0.320523 + 0.205988i
\(534\) −1.03458 + 7.19570i −0.0447709 + 0.311388i
\(535\) −9.49056 + 6.09921i −0.410313 + 0.263692i
\(536\) 1.55729 + 3.40998i 0.0672645 + 0.147289i
\(537\) −11.1357 12.8512i −0.480539 0.554571i
\(538\) −3.80866 26.4898i −0.164203 1.14206i
\(539\) 3.03760 6.65141i 0.130839 0.286497i
\(540\) −0.959493 + 0.281733i −0.0412900 + 0.0121238i
\(541\) 6.31082 1.85302i 0.271323 0.0796677i −0.143241 0.989688i \(-0.545752\pi\)
0.414564 + 0.910020i \(0.363934\pi\)
\(542\) 5.89857 12.9161i 0.253365 0.554793i
\(543\) 3.35946 + 23.3655i 0.144168 + 1.00271i
\(544\) −0.192237 0.221854i −0.00824211 0.00951190i
\(545\) 7.15063 + 15.6577i 0.306300 + 0.670702i
\(546\) −14.2699 + 9.17068i −0.610693 + 0.392469i
\(547\) −2.50549 + 17.4260i −0.107127 + 0.745084i 0.863475 + 0.504392i \(0.168283\pi\)
−0.970602 + 0.240692i \(0.922626\pi\)
\(548\) −6.73986 4.33145i −0.287913 0.185030i
\(549\) −0.280885 + 0.324158i −0.0119879 + 0.0138347i
\(550\) −0.746018 0.219051i −0.0318103 0.00934035i
\(551\) −5.03799 −0.214625
\(552\) 2.10059 4.31132i 0.0894071 0.183502i
\(553\) −13.7518 −0.584784
\(554\) −16.2953 4.78472i −0.692320 0.203283i
\(555\) 4.65466 5.37176i 0.197579 0.228019i
\(556\) 18.9865 + 12.2019i 0.805206 + 0.517475i
\(557\) −0.00888742 + 0.0618133i −0.000376572 + 0.00261912i −0.990009 0.141005i \(-0.954967\pi\)
0.989632 + 0.143624i \(0.0458757\pi\)
\(558\) 7.59008 4.87785i 0.321314 0.206496i
\(559\) −12.2345 26.7898i −0.517464 1.13309i
\(560\) −2.65236 3.06098i −0.112083 0.129350i
\(561\) −0.0324823 0.225919i −0.00137140 0.00953832i
\(562\) 7.53448 16.4982i 0.317823 0.695935i
\(563\) −13.9264 + 4.08916i −0.586927 + 0.172337i −0.561695 0.827344i \(-0.689851\pi\)
−0.0252321 + 0.999682i \(0.508032\pi\)
\(564\) 3.97456 1.16704i 0.167359 0.0491410i
\(565\) −0.620672 + 1.35908i −0.0261119 + 0.0571770i
\(566\) −0.267631 1.86142i −0.0112494 0.0782411i
\(567\) −2.65236 3.06098i −0.111389 0.128549i
\(568\) 4.03485 + 8.83509i 0.169299 + 0.370712i
\(569\) 18.0938 11.6282i 0.758530 0.487478i −0.103315 0.994649i \(-0.532945\pi\)
0.861845 + 0.507171i \(0.169309\pi\)
\(570\) −0.254325 + 1.76887i −0.0106525 + 0.0740899i
\(571\) −36.1179 23.2116i −1.51149 0.971375i −0.993232 0.116150i \(-0.962945\pi\)
−0.518257 0.855225i \(-0.673419\pi\)
\(572\) 2.13239 2.46090i 0.0891595 0.102896i
\(573\) 2.88367 + 0.846721i 0.120467 + 0.0353723i
\(574\) −8.50686 −0.355070
\(575\) −3.23014 + 3.54488i −0.134706 + 0.147832i
\(576\) 1.00000 0.0416667
\(577\) 22.4720 + 6.59836i 0.935520 + 0.274693i 0.713746 0.700405i \(-0.246997\pi\)
0.221774 + 0.975098i \(0.428815\pi\)
\(578\) 11.0762 12.7826i 0.460709 0.531687i
\(579\) −3.79174 2.43681i −0.157580 0.101270i
\(580\) 0.401206 2.79045i 0.0166592 0.115867i
\(581\) 14.4106 9.26116i 0.597854 0.384217i
\(582\) −0.298775 0.654226i −0.0123846 0.0271185i
\(583\) −2.08285 2.40374i −0.0862628 0.0995526i
\(584\) −2.23236 15.5264i −0.0923758 0.642488i
\(585\) −1.73977 + 3.80956i −0.0719306 + 0.157506i
\(586\) 26.8847 7.89407i 1.11060 0.326101i
\(587\) 19.9340 5.85315i 0.822765 0.241585i 0.156859 0.987621i \(-0.449863\pi\)
0.665906 + 0.746036i \(0.268045\pi\)
\(588\) 3.90682 8.55473i 0.161114 0.352791i
\(589\) −2.29461 15.9594i −0.0945478 0.657594i
\(590\) 5.92652 + 6.83957i 0.243991 + 0.281580i
\(591\) 3.88442 + 8.50570i 0.159784 + 0.349878i
\(592\) −5.97951 + 3.84280i −0.245756 + 0.157938i
\(593\) 4.61579 32.1035i 0.189548 1.31833i −0.643634 0.765334i \(-0.722574\pi\)
0.833182 0.553000i \(-0.186517\pi\)
\(594\) 0.654085 + 0.420355i 0.0268374 + 0.0172474i
\(595\) −0.778612 + 0.898566i −0.0319200 + 0.0368376i
\(596\) 12.8431 + 3.77108i 0.526074 + 0.154469i
\(597\) −21.6336 −0.885404
\(598\) −7.88474 18.4727i −0.322431 0.755405i
\(599\) 8.60216 0.351475 0.175737 0.984437i \(-0.443769\pi\)
0.175737 + 0.984437i \(0.443769\pi\)
\(600\) −0.959493 0.281733i −0.0391711 0.0115017i
\(601\) 2.22864 2.57198i 0.0909079 0.104913i −0.708473 0.705738i \(-0.750616\pi\)
0.799381 + 0.600825i \(0.205161\pi\)
\(602\) 23.9609 + 15.3988i 0.976575 + 0.627607i
\(603\) −0.533502 + 3.71059i −0.0217259 + 0.151107i
\(604\) 7.67034 4.92943i 0.312102 0.200575i
\(605\) −4.31844 9.45606i −0.175569 0.384443i
\(606\) −7.06116 8.14901i −0.286840 0.331031i
\(607\) 4.31417 + 30.0057i 0.175107 + 1.21790i 0.867893 + 0.496752i \(0.165474\pi\)
−0.692786 + 0.721144i \(0.743617\pi\)
\(608\) 0.742372 1.62557i 0.0301072 0.0659255i
\(609\) 10.9558 3.21690i 0.443950 0.130355i
\(610\) −0.411548 + 0.120841i −0.0166631 + 0.00489273i
\(611\) 7.20674 15.7806i 0.291553 0.638413i
\(612\) −0.0417772 0.290567i −0.00168874 0.0117455i
\(613\) −18.9354 21.8527i −0.764795 0.882620i 0.231119 0.972925i \(-0.425761\pi\)
−0.995914 + 0.0903050i \(0.971216\pi\)
\(614\) 5.41081 + 11.8480i 0.218362 + 0.478147i
\(615\) −1.76691 + 1.13552i −0.0712485 + 0.0457886i
\(616\) −0.448168 + 3.11707i −0.0180572 + 0.125590i
\(617\) −3.09089 1.98639i −0.124435 0.0799693i 0.476943 0.878934i \(-0.341745\pi\)
−0.601377 + 0.798965i \(0.705381\pi\)
\(618\) −0.268727 + 0.310128i −0.0108098 + 0.0124752i
\(619\) 32.6007 + 9.57244i 1.31033 + 0.384749i 0.860995 0.508613i \(-0.169842\pi\)
0.449338 + 0.893362i \(0.351660\pi\)
\(620\) 9.02235 0.362346
\(621\) 4.09801 2.49125i 0.164447 0.0999705i
\(622\) −29.8459 −1.19671
\(623\) −28.2514 8.29537i −1.13187 0.332347i
\(624\) 2.74258 3.16510i 0.109791 0.126705i
\(625\) 0.841254 + 0.540641i 0.0336501 + 0.0216256i
\(626\) −0.571095 + 3.97205i −0.0228256 + 0.158755i
\(627\) 1.16889 0.751200i 0.0466810 0.0300000i
\(628\) 6.38511 + 13.9814i 0.254794 + 0.557920i
\(629\) 1.36640 + 1.57691i 0.0544818 + 0.0628753i
\(630\) −0.576412 4.00903i −0.0229648 0.159724i
\(631\) −0.532139 + 1.16522i −0.0211841 + 0.0463868i −0.919928 0.392087i \(-0.871753\pi\)
0.898744 + 0.438473i \(0.144481\pi\)
\(632\) 3.25774 0.956560i 0.129586 0.0380499i
\(633\) 21.5121 6.31652i 0.855028 0.251059i
\(634\) 11.8427 25.9319i 0.470335 1.02989i
\(635\) −0.302178 2.10170i −0.0119916 0.0834033i
\(636\) −2.67886 3.09157i −0.106224 0.122589i
\(637\) −16.3619 35.8275i −0.648280 1.41954i
\(638\) −1.84396 + 1.18504i −0.0730031 + 0.0469162i
\(639\) −1.38228 + 9.61396i −0.0546821 + 0.380322i
\(640\) 0.841254 + 0.540641i 0.0332535 + 0.0213707i
\(641\) 22.4504 25.9091i 0.886736 1.02335i −0.112822 0.993615i \(-0.535989\pi\)
0.999558 0.0297329i \(-0.00946568\pi\)
\(642\) 10.8245 + 3.17835i 0.427208 + 0.125440i
\(643\) −7.61631 −0.300358 −0.150179 0.988659i \(-0.547985\pi\)
−0.150179 + 0.988659i \(0.547985\pi\)
\(644\) 16.0734 + 10.9064i 0.633382 + 0.429774i
\(645\) 7.03225 0.276894
\(646\) −0.503350 0.147797i −0.0198040 0.00581499i
\(647\) 22.5600 26.0356i 0.886926 1.02357i −0.112626 0.993637i \(-0.535926\pi\)
0.999552 0.0299294i \(-0.00952826\pi\)
\(648\) 0.841254 + 0.540641i 0.0330476 + 0.0212384i
\(649\) 1.00140 6.96490i 0.0393084 0.273396i
\(650\) −3.52319 + 2.26422i −0.138191 + 0.0888100i
\(651\) 15.1804 + 33.2405i 0.594969 + 1.30280i
\(652\) −7.14190 8.24219i −0.279698 0.322789i
\(653\) 4.81788 + 33.5091i 0.188538 + 1.31131i 0.835796 + 0.549041i \(0.185007\pi\)
−0.647257 + 0.762272i \(0.724084\pi\)
\(654\) 7.15063 15.6577i 0.279612 0.612265i
\(655\) 1.33526 0.392068i 0.0521730 0.0153194i
\(656\) 2.01525 0.591730i 0.0786822 0.0231032i
\(657\) 6.51623 14.2686i 0.254223 0.556670i
\(658\) 2.38770 + 16.6068i 0.0930823 + 0.647402i
\(659\) −16.5623 19.1139i −0.645176 0.744573i 0.335105 0.942181i \(-0.391228\pi\)
−0.980281 + 0.197608i \(0.936683\pi\)
\(660\) 0.322990 + 0.707250i 0.0125724 + 0.0275297i
\(661\) −23.3071 + 14.9786i −0.906542 + 0.582599i −0.908724 0.417398i \(-0.862942\pi\)
0.00218129 + 0.999998i \(0.499306\pi\)
\(662\) 1.08707 7.56074i 0.0422502 0.293857i
\(663\) −1.03425 0.664672i −0.0401669 0.0258137i
\(664\) −2.76963 + 3.19633i −0.107483 + 0.124042i
\(665\) −6.94487 2.03920i −0.269311 0.0790767i
\(666\) −7.10786 −0.275424
\(667\) 1.58929 + 13.4264i 0.0615375 + 0.519873i
\(668\) 1.83581 0.0710296
\(669\) 22.0996 + 6.48901i 0.854418 + 0.250880i
\(670\) −2.45491 + 2.83311i −0.0948413 + 0.109453i
\(671\) 0.280552 + 0.180300i 0.0108306 + 0.00696039i
\(672\) −0.576412 + 4.00903i −0.0222356 + 0.154652i
\(673\) −4.79860 + 3.08387i −0.184972 + 0.118875i −0.629850 0.776717i \(-0.716884\pi\)
0.444877 + 0.895591i \(0.353247\pi\)
\(674\) 0.895821 + 1.96157i 0.0345057 + 0.0755570i
\(675\) −0.654861 0.755750i −0.0252056 0.0290888i
\(676\) −0.646049 4.49337i −0.0248480 0.172822i
\(677\) −11.3646 + 24.8849i −0.436775 + 0.956404i 0.555404 + 0.831581i \(0.312564\pi\)
−0.992179 + 0.124823i \(0.960164\pi\)
\(678\) 1.43358 0.420937i 0.0550563 0.0161660i
\(679\) 2.79503 0.820695i 0.107263 0.0314954i
\(680\) 0.121947 0.267027i 0.00467645 0.0102400i
\(681\) −0.711823 4.95084i −0.0272771 0.189717i
\(682\) −4.59384 5.30157i −0.175907 0.203008i
\(683\) 1.99302 + 4.36411i 0.0762610 + 0.166988i 0.943922 0.330167i \(-0.107105\pi\)
−0.867661 + 0.497155i \(0.834378\pi\)
\(684\) 1.50337 0.966158i 0.0574829 0.0369420i
\(685\) 1.14018 7.93014i 0.0435641 0.302995i
\(686\) 8.19322 + 5.26546i 0.312818 + 0.201036i
\(687\) −1.11059 + 1.28169i −0.0423716 + 0.0488995i
\(688\) −6.74739 1.98121i −0.257242 0.0755330i
\(689\) −17.1321 −0.652682
\(690\) 4.79434 + 0.119776i 0.182517 + 0.00455981i
\(691\) 32.2061 1.22518 0.612589 0.790402i \(-0.290128\pi\)
0.612589 + 0.790402i \(0.290128\pi\)
\(692\) 11.1622 + 3.27752i 0.424323 + 0.124593i
\(693\) −2.06224 + 2.37995i −0.0783380 + 0.0904069i
\(694\) 4.85046 + 3.11720i 0.184121 + 0.118327i
\(695\) −3.21194 + 22.3396i −0.121836 + 0.847388i
\(696\) −2.37162 + 1.52415i −0.0898959 + 0.0577726i
\(697\) −0.256128 0.560843i −0.00970155 0.0212434i
\(698\) −12.5177 14.4462i −0.473803 0.546798i
\(699\) −2.76766 19.2495i −0.104683 0.728084i
\(700\) 1.68254 3.68425i 0.0635940 0.139251i
\(701\) 18.6330 5.47115i 0.703759 0.206642i 0.0897766 0.995962i \(-0.471385\pi\)
0.613983 + 0.789320i \(0.289567\pi\)
\(702\) 4.01838 1.17990i 0.151664 0.0445326i
\(703\) −5.27668 + 11.5543i −0.199014 + 0.435779i
\(704\) −0.110652 0.769598i −0.00417034 0.0290053i
\(705\) 2.71266 + 3.13058i 0.102165 + 0.117904i
\(706\) −6.70863 14.6898i −0.252483 0.552860i
\(707\) 36.7398 23.6112i 1.38174 0.887992i
\(708\) 1.28796 8.95793i 0.0484043 0.336660i
\(709\) 7.32959 + 4.71044i 0.275269 + 0.176904i 0.670990 0.741466i \(-0.265869\pi\)
−0.395722 + 0.918370i \(0.629506\pi\)
\(710\) −6.36054 + 7.34046i −0.238707 + 0.275483i
\(711\) 3.25774 + 0.956560i 0.122175 + 0.0358738i
\(712\) 7.26969 0.272443
\(713\) −41.8084 + 11.1498i −1.56574 + 0.417562i
\(714\) 1.18897 0.0444962
\(715\) 3.12434 + 0.917390i 0.116844 + 0.0343084i
\(716\) −11.1357 + 12.8512i −0.416159 + 0.480273i
\(717\) 8.77354 + 5.63841i 0.327654 + 0.210570i
\(718\) −1.31708 + 9.16049i −0.0491530 + 0.341867i
\(719\) 17.6779 11.3609i 0.659275 0.423691i −0.167770 0.985826i \(-0.553656\pi\)
0.827045 + 0.562136i \(0.190020\pi\)
\(720\) 0.415415 + 0.909632i 0.0154816 + 0.0339000i
\(721\) −1.08842 1.25610i −0.0405347 0.0467796i
\(722\) 2.24949 + 15.6455i 0.0837172 + 0.582266i
\(723\) −7.30322 + 15.9918i −0.271610 + 0.594742i
\(724\) 22.6496 6.65053i 0.841766 0.247165i
\(725\) 2.70495 0.794245i 0.100459 0.0294975i
\(726\) −4.31844 + 9.45606i −0.160272 + 0.350947i
\(727\) 1.15912 + 8.06182i 0.0429892 + 0.298996i 0.999961 + 0.00881597i \(0.00280625\pi\)
−0.956972 + 0.290180i \(0.906285\pi\)
\(728\) 11.1081 + 12.8195i 0.411695 + 0.475122i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) 13.1960 8.48054i 0.488405 0.313879i
\(731\) −0.293787 + 2.04334i −0.0108661 + 0.0755755i
\(732\) 0.360833 + 0.231893i 0.0133368 + 0.00857101i
\(733\) 13.3927 15.4560i 0.494670 0.570879i −0.452438 0.891796i \(-0.649446\pi\)
0.947107 + 0.320917i \(0.103991\pi\)
\(734\) 32.8456 + 9.64434i 1.21235 + 0.355979i
\(735\) 9.40461 0.346894
\(736\) −4.56639 1.46564i −0.168319 0.0540244i
\(737\) 2.91470 0.107364
\(738\) 2.01525 + 0.591730i 0.0741822 + 0.0217819i
\(739\) −26.9692 + 31.1241i −0.992079 + 1.14492i −0.00263607 + 0.999997i \(0.500839\pi\)
−0.989443 + 0.144924i \(0.953706\pi\)
\(740\) −5.97951 3.84280i −0.219811 0.141264i
\(741\) 1.06512 7.40808i 0.0391282 0.272143i
\(742\) 13.9384 8.95764i 0.511693 0.328845i
\(743\) −4.72926 10.3556i −0.173500 0.379911i 0.802827 0.596212i \(-0.203328\pi\)
−0.976327 + 0.216301i \(0.930601\pi\)
\(744\) −5.90838 6.81863i −0.216612 0.249983i
\(745\) 1.90493 + 13.2491i 0.0697912 + 0.485408i
\(746\) 9.64989 21.1303i 0.353308 0.773636i
\(747\) −4.05803 + 1.19155i −0.148476 + 0.0435964i
\(748\) −0.218997 + 0.0643033i −0.00800732 + 0.00235116i
\(749\) −18.9815 + 41.5636i −0.693568 + 1.51870i
\(750\) −0.142315 0.989821i −0.00519660 0.0361432i
\(751\) 5.73474 + 6.61824i 0.209264 + 0.241503i 0.850672 0.525696i \(-0.176195\pi\)
−0.641409 + 0.767199i \(0.721650\pi\)
\(752\) −1.72079 3.76802i −0.0627509 0.137405i
\(753\) −25.3078 + 16.2643i −0.922267 + 0.592705i
\(754\) −1.68026 + 11.6865i −0.0611916 + 0.425597i
\(755\) 7.67034 + 4.92943i 0.279152 + 0.179400i
\(756\) −2.65236 + 3.06098i −0.0964653 + 0.111327i
\(757\) −0.706487 0.207443i −0.0256777 0.00753965i 0.268868 0.963177i \(-0.413350\pi\)
−0.294546 + 0.955637i \(0.595168\pi\)
\(758\) −32.1629 −1.16821
\(759\) −2.37071 2.87816i −0.0860515 0.104471i
\(760\) 1.78706 0.0648235
\(761\) 47.9202 + 14.0706i 1.73711 + 0.510060i 0.988273 0.152699i \(-0.0487964\pi\)
0.748833 + 0.662759i \(0.230615\pi\)
\(762\) −1.39047 + 1.60469i −0.0503715 + 0.0581318i
\(763\) 58.6506 + 37.6924i 2.12329 + 1.36456i
\(764\) 0.427714 2.97482i 0.0154742 0.107625i
\(765\) 0.246954 0.158708i 0.00892864 0.00573809i
\(766\) 12.5611 + 27.5050i 0.453851 + 0.993796i
\(767\) −24.8204 28.6443i −0.896214 1.03429i
\(768\) −0.142315 0.989821i −0.00513534 0.0357171i
\(769\) 9.99779 21.8921i 0.360529 0.789449i −0.639261 0.768990i \(-0.720760\pi\)
0.999791 0.0204598i \(-0.00651301\pi\)
\(770\) −3.02157 + 0.887212i −0.108890 + 0.0319729i
\(771\) −21.0777 + 6.18897i −0.759094 + 0.222890i
\(772\) −1.87238 + 4.09994i −0.0673885 + 0.147560i
\(773\) −2.55329 17.7585i −0.0918356 0.638730i −0.982802