Properties

Label 690.2.n.a.89.4
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.4
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.58165 - 0.705954i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.76486 + 1.37305i) q^{5} +(-0.473676 + 1.66602i) q^{6} +(-3.04110 + 1.95439i) q^{7} +(0.415415 + 0.909632i) q^{8} +(2.00326 + 2.23315i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.58165 - 0.705954i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.76486 + 1.37305i) q^{5} +(-0.473676 + 1.66602i) q^{6} +(-3.04110 + 1.95439i) q^{7} +(0.415415 + 0.909632i) q^{8} +(2.00326 + 2.23315i) q^{9} +(1.61024 + 1.55149i) q^{10} +(-0.00228746 + 0.0159096i) q^{11} +(1.71648 + 0.231755i) q^{12} +(1.50635 - 2.34393i) q^{13} +(2.36729 + 2.73200i) q^{14} +(3.76071 - 0.925789i) q^{15} +(0.841254 - 0.540641i) q^{16} +(1.07536 - 3.66235i) q^{17} +(1.92533 - 2.30068i) q^{18} +(0.620061 + 2.11173i) q^{19} +(1.30653 - 1.81465i) q^{20} +(6.18968 - 0.944300i) q^{21} +0.0160733 q^{22} +(-3.58112 - 3.18992i) q^{23} +(-0.0148842 - 1.73199i) q^{24} +(1.22944 - 4.84649i) q^{25} +(-2.53445 - 1.15744i) q^{26} +(-1.59196 - 4.94628i) q^{27} +(2.36729 - 2.73200i) q^{28} +(1.90978 - 6.50410i) q^{29} +(-1.45157 - 3.59067i) q^{30} +(2.30438 + 5.04590i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(0.0148495 - 0.0235487i) q^{33} +(-3.77811 - 0.543210i) q^{34} +(2.68361 - 7.62482i) q^{35} +(-2.55126 - 1.57831i) q^{36} +(7.30706 + 8.43280i) q^{37} +(2.00199 - 0.914280i) q^{38} +(-4.03724 + 2.64387i) q^{39} +(-1.98212 - 1.03498i) q^{40} +(-3.69098 - 3.19825i) q^{41} +(-1.81557 - 5.99229i) q^{42} +(-0.521005 + 1.14084i) q^{43} +(-0.00228746 - 0.0159096i) q^{44} +(-6.60170 - 1.19061i) q^{45} +(-2.64781 + 3.99864i) q^{46} +8.02646 q^{47} +(-1.71224 + 0.261220i) q^{48} +(2.52071 - 5.51958i) q^{49} +(-4.97213 - 0.527200i) q^{50} +(-4.28630 + 5.03341i) q^{51} +(-0.784973 + 2.67337i) q^{52} +(-2.54431 - 3.95903i) q^{53} +(-4.66937 + 2.27968i) q^{54} +(-0.0178078 - 0.0312191i) q^{55} +(-3.04110 - 1.95439i) q^{56} +(0.510065 - 3.77776i) q^{57} +(-6.70969 - 0.964707i) q^{58} +(1.07153 - 1.66733i) q^{59} +(-3.34755 + 1.94780i) q^{60} +(5.98839 - 2.73481i) q^{61} +(4.66659 - 2.99903i) q^{62} +(-10.4566 - 2.87607i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(0.559847 + 6.20501i) q^{65} +(-0.0254223 - 0.0113470i) q^{66} +(1.47316 + 10.2460i) q^{67} +3.81696i q^{68} +(3.41215 + 7.57346i) q^{69} +(-7.92913 - 1.57117i) q^{70} +(12.0067 - 1.72631i) q^{71} +(-1.19916 + 2.74991i) q^{72} +(-4.01957 - 13.6894i) q^{73} +(7.30706 - 8.43280i) q^{74} +(-5.36595 + 6.79754i) q^{75} +(-1.18989 - 1.85150i) q^{76} +(-0.0241373 - 0.0528534i) q^{77} +(3.19152 + 3.61988i) q^{78} +(4.69308 - 7.30257i) q^{79} +(-0.742363 + 2.10924i) q^{80} +(-0.973920 + 8.94715i) q^{81} +(-2.64042 + 4.10857i) q^{82} +(0.587523 - 0.509092i) q^{83} +(-5.67291 + 2.64988i) q^{84} +(3.13074 + 7.94005i) q^{85} +(1.20338 + 0.353343i) q^{86} +(-7.61220 + 8.93902i) q^{87} +(-0.0154222 + 0.00452836i) q^{88} +(4.77366 - 10.4529i) q^{89} +(-0.238971 + 6.70395i) q^{90} +10.0721i q^{91} +(4.33476 + 2.05179i) q^{92} +(-0.0825653 - 9.60765i) q^{93} +(-1.14228 - 7.94476i) q^{94} +(-3.99384 - 2.87553i) q^{95} +(0.502238 + 1.65764i) q^{96} +(5.55341 - 6.40897i) q^{97} +(-5.82214 - 1.70953i) q^{98} +(-0.0401110 + 0.0267629i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −1.58165 0.705954i −0.913168 0.407583i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −1.76486 + 1.37305i −0.789268 + 0.614049i
\(6\) −0.473676 + 1.66602i −0.193377 + 0.680151i
\(7\) −3.04110 + 1.95439i −1.14943 + 0.738692i −0.969525 0.244993i \(-0.921214\pi\)
−0.179902 + 0.983685i \(0.557578\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 2.00326 + 2.23315i 0.667752 + 0.744383i
\(10\) 1.61024 + 1.55149i 0.509204 + 0.490623i
\(11\) −0.00228746 + 0.0159096i −0.000689696 + 0.00479694i −0.990163 0.139916i \(-0.955317\pi\)
0.989474 + 0.144713i \(0.0462259\pi\)
\(12\) 1.71648 + 0.231755i 0.495504 + 0.0669018i
\(13\) 1.50635 2.34393i 0.417787 0.650090i −0.567027 0.823699i \(-0.691907\pi\)
0.984815 + 0.173609i \(0.0555430\pi\)
\(14\) 2.36729 + 2.73200i 0.632686 + 0.730159i
\(15\) 3.76071 0.925789i 0.971010 0.239038i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 1.07536 3.66235i 0.260814 0.888250i −0.720111 0.693859i \(-0.755909\pi\)
0.980924 0.194390i \(-0.0622728\pi\)
\(18\) 1.92533 2.30068i 0.453804 0.542275i
\(19\) 0.620061 + 2.11173i 0.142252 + 0.484465i 0.999539 0.0303742i \(-0.00966990\pi\)
−0.857287 + 0.514839i \(0.827852\pi\)
\(20\) 1.30653 1.81465i 0.292150 0.405769i
\(21\) 6.18968 0.944300i 1.35070 0.206063i
\(22\) 0.0160733 0.00342683
\(23\) −3.58112 3.18992i −0.746714 0.665145i
\(24\) −0.0148842 1.73199i −0.00303822 0.353540i
\(25\) 1.22944 4.84649i 0.245888 0.969298i
\(26\) −2.53445 1.15744i −0.497046 0.226994i
\(27\) −1.59196 4.94628i −0.306372 0.951912i
\(28\) 2.36729 2.73200i 0.447377 0.516300i
\(29\) 1.90978 6.50410i 0.354636 1.20778i −0.568298 0.822823i \(-0.692398\pi\)
0.922934 0.384958i \(-0.125784\pi\)
\(30\) −1.45157 3.59067i −0.265019 0.655565i
\(31\) 2.30438 + 5.04590i 0.413879 + 0.906270i 0.995672 + 0.0929327i \(0.0296241\pi\)
−0.581793 + 0.813337i \(0.697649\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 0.0148495 0.0235487i 0.00258496 0.00409930i
\(34\) −3.77811 0.543210i −0.647940 0.0931598i
\(35\) 2.68361 7.62482i 0.453613 1.28883i
\(36\) −2.55126 1.57831i −0.425210 0.263052i
\(37\) 7.30706 + 8.43280i 1.20127 + 1.38634i 0.901752 + 0.432255i \(0.142282\pi\)
0.299522 + 0.954089i \(0.403173\pi\)
\(38\) 2.00199 0.914280i 0.324766 0.148316i
\(39\) −4.03724 + 2.64387i −0.646475 + 0.423358i
\(40\) −1.98212 1.03498i −0.313401 0.163645i
\(41\) −3.69098 3.19825i −0.576435 0.499483i 0.317152 0.948375i \(-0.397274\pi\)
−0.893586 + 0.448891i \(0.851819\pi\)
\(42\) −1.81557 5.99229i −0.280149 0.924630i
\(43\) −0.521005 + 1.14084i −0.0794525 + 0.173977i −0.945189 0.326523i \(-0.894123\pi\)
0.865737 + 0.500499i \(0.166850\pi\)
\(44\) −0.00228746 0.0159096i −0.000344848 0.00239847i
\(45\) −6.60170 1.19061i −0.984123 0.177486i
\(46\) −2.64781 + 3.99864i −0.390398 + 0.589567i
\(47\) 8.02646 1.17078 0.585390 0.810752i \(-0.300941\pi\)
0.585390 + 0.810752i \(0.300941\pi\)
\(48\) −1.71224 + 0.261220i −0.247140 + 0.0377039i
\(49\) 2.52071 5.51958i 0.360101 0.788512i
\(50\) −4.97213 0.527200i −0.703165 0.0745574i
\(51\) −4.28630 + 5.03341i −0.600202 + 0.704818i
\(52\) −0.784973 + 2.67337i −0.108856 + 0.370730i
\(53\) −2.54431 3.95903i −0.349488 0.543814i 0.621355 0.783529i \(-0.286582\pi\)
−0.970843 + 0.239715i \(0.922946\pi\)
\(54\) −4.66937 + 2.27968i −0.635421 + 0.310226i
\(55\) −0.0178078 0.0312191i −0.00240120 0.00420958i
\(56\) −3.04110 1.95439i −0.406384 0.261167i
\(57\) 0.510065 3.77776i 0.0675598 0.500377i
\(58\) −6.70969 0.964707i −0.881025 0.126672i
\(59\) 1.07153 1.66733i 0.139501 0.217068i −0.764472 0.644656i \(-0.777000\pi\)
0.903973 + 0.427589i \(0.140637\pi\)
\(60\) −3.34755 + 1.94780i −0.432166 + 0.251460i
\(61\) 5.98839 2.73481i 0.766735 0.350156i 0.00664818 0.999978i \(-0.497884\pi\)
0.760087 + 0.649822i \(0.225157\pi\)
\(62\) 4.66659 2.99903i 0.592657 0.380878i
\(63\) −10.4566 2.87607i −1.31740 0.362351i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 0.559847 + 6.20501i 0.0694405 + 0.769637i
\(66\) −0.0254223 0.0113470i −0.00312927 0.00139672i
\(67\) 1.47316 + 10.2460i 0.179975 + 1.25175i 0.856816 + 0.515623i \(0.172439\pi\)
−0.676841 + 0.736129i \(0.736651\pi\)
\(68\) 3.81696i 0.462874i
\(69\) 3.41215 + 7.57346i 0.410774 + 0.911737i
\(70\) −7.92913 1.57117i −0.947712 0.187791i
\(71\) 12.0067 1.72631i 1.42494 0.204875i 0.613676 0.789558i \(-0.289690\pi\)
0.811262 + 0.584683i \(0.198781\pi\)
\(72\) −1.19916 + 2.74991i −0.141323 + 0.324080i
\(73\) −4.01957 13.6894i −0.470455 1.60222i −0.763288 0.646058i \(-0.776416\pi\)
0.292834 0.956163i \(-0.405402\pi\)
\(74\) 7.30706 8.43280i 0.849429 0.980293i
\(75\) −5.36595 + 6.79754i −0.619607 + 0.784912i
\(76\) −1.18989 1.85150i −0.136489 0.212382i
\(77\) −0.0241373 0.0528534i −0.00275070 0.00602320i
\(78\) 3.19152 + 3.61988i 0.361368 + 0.409871i
\(79\) 4.69308 7.30257i 0.528012 0.821603i −0.470126 0.882599i \(-0.655791\pi\)
0.998138 + 0.0609964i \(0.0194278\pi\)
\(80\) −0.742363 + 2.10924i −0.0829987 + 0.235820i
\(81\) −0.973920 + 8.94715i −0.108213 + 0.994128i
\(82\) −2.64042 + 4.10857i −0.291586 + 0.453716i
\(83\) 0.587523 0.509092i 0.0644890 0.0558801i −0.622020 0.783001i \(-0.713688\pi\)
0.686509 + 0.727121i \(0.259142\pi\)
\(84\) −5.67291 + 2.64988i −0.618965 + 0.289126i
\(85\) 3.13074 + 7.94005i 0.339577 + 0.861219i
\(86\) 1.20338 + 0.353343i 0.129763 + 0.0381020i
\(87\) −7.61220 + 8.93902i −0.816114 + 0.958363i
\(88\) −0.0154222 + 0.00452836i −0.00164401 + 0.000482725i
\(89\) 4.77366 10.4529i 0.506007 1.10800i −0.468463 0.883483i \(-0.655192\pi\)
0.974470 0.224518i \(-0.0720808\pi\)
\(90\) −0.238971 + 6.70395i −0.0251898 + 0.706658i
\(91\) 10.0721i 1.05585i
\(92\) 4.33476 + 2.05179i 0.451930 + 0.213914i
\(93\) −0.0825653 9.60765i −0.00856162 0.996267i
\(94\) −1.14228 7.94476i −0.117818 0.819440i
\(95\) −3.99384 2.87553i −0.409760 0.295023i
\(96\) 0.502238 + 1.65764i 0.0512595 + 0.169182i
\(97\) 5.55341 6.40897i 0.563863 0.650733i −0.400193 0.916431i \(-0.631057\pi\)
0.964056 + 0.265698i \(0.0856024\pi\)
\(98\) −5.82214 1.70953i −0.588125 0.172689i
\(99\) −0.0401110 + 0.0267629i −0.00403131 + 0.00268977i
\(100\) 0.185773 + 4.99655i 0.0185773 + 0.499655i
\(101\) 4.24867 3.68149i 0.422758 0.366322i −0.417345 0.908748i \(-0.637039\pi\)
0.840104 + 0.542426i \(0.182494\pi\)
\(102\) 5.59218 + 3.52634i 0.553708 + 0.349160i
\(103\) 0.518220 3.60430i 0.0510618 0.355142i −0.948232 0.317577i \(-0.897131\pi\)
0.999294 0.0375651i \(-0.0119602\pi\)
\(104\) 2.75788 + 0.396523i 0.270432 + 0.0388823i
\(105\) −9.62732 + 10.1653i −0.939530 + 0.992033i
\(106\) −3.55664 + 3.08184i −0.345451 + 0.299335i
\(107\) −14.9799 + 6.84111i −1.44817 + 0.661355i −0.975523 0.219899i \(-0.929427\pi\)
−0.472643 + 0.881254i \(0.656700\pi\)
\(108\) 2.92100 + 4.29741i 0.281073 + 0.413519i
\(109\) 1.94794 6.63408i 0.186579 0.635430i −0.812074 0.583554i \(-0.801662\pi\)
0.998654 0.0518762i \(-0.0165201\pi\)
\(110\) −0.0283670 + 0.0220695i −0.00270469 + 0.00210424i
\(111\) −5.60407 18.4962i −0.531915 1.75558i
\(112\) −1.50171 + 3.28828i −0.141898 + 0.310713i
\(113\) 5.18962 0.746154i 0.488198 0.0701923i 0.106180 0.994347i \(-0.466138\pi\)
0.382018 + 0.924155i \(0.375229\pi\)
\(114\) −3.81190 + 0.0327584i −0.357017 + 0.00306810i
\(115\) 10.7001 + 0.712690i 0.997789 + 0.0664587i
\(116\) 6.77868i 0.629385i
\(117\) 8.25196 1.33158i 0.762894 0.123105i
\(118\) −1.80285 0.823335i −0.165966 0.0757941i
\(119\) 3.88739 + 13.2392i 0.356356 + 1.21364i
\(120\) 2.40438 + 3.03627i 0.219489 + 0.277173i
\(121\) 10.5542 + 3.09899i 0.959470 + 0.281726i
\(122\) −3.55921 5.53823i −0.322235 0.501408i
\(123\) 3.58004 + 7.66420i 0.322801 + 0.691057i
\(124\) −3.63263 4.19228i −0.326220 0.376478i
\(125\) 4.48471 + 10.2415i 0.401124 + 0.916024i
\(126\) −1.35867 + 10.7594i −0.121040 + 0.958526i
\(127\) 4.01607 + 0.577424i 0.356368 + 0.0512381i 0.318174 0.948032i \(-0.396930\pi\)
0.0381943 + 0.999270i \(0.487839\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 1.62943 1.43661i 0.143463 0.126487i
\(130\) 6.06218 1.43721i 0.531688 0.126052i
\(131\) −1.49380 2.32440i −0.130514 0.203084i 0.769846 0.638230i \(-0.220333\pi\)
−0.900360 + 0.435146i \(0.856697\pi\)
\(132\) −0.00761351 + 0.0267784i −0.000662671 + 0.00233076i
\(133\) −6.01282 5.21014i −0.521378 0.451777i
\(134\) 9.93209 2.91633i 0.858002 0.251932i
\(135\) 9.60109 + 6.54363i 0.826330 + 0.563186i
\(136\) 3.77811 0.543210i 0.323970 0.0465799i
\(137\) 19.6648i 1.68007i 0.542530 + 0.840037i \(0.317467\pi\)
−0.542530 + 0.840037i \(0.682533\pi\)
\(138\) 7.01077 4.45523i 0.596797 0.379254i
\(139\) −16.8875 −1.43238 −0.716189 0.697906i \(-0.754115\pi\)
−0.716189 + 0.697906i \(0.754115\pi\)
\(140\) −0.426747 + 8.07202i −0.0360667 + 0.682210i
\(141\) −12.6951 5.66631i −1.06912 0.477190i
\(142\) −3.41748 11.6389i −0.286788 0.976711i
\(143\) 0.0338454 + 0.0293272i 0.00283029 + 0.00245246i
\(144\) 2.89258 + 0.795603i 0.241048 + 0.0663002i
\(145\) 5.56000 + 14.1010i 0.461733 + 1.17103i
\(146\) −12.9780 + 5.92686i −1.07407 + 0.490510i
\(147\) −7.88346 + 6.95056i −0.650217 + 0.573273i
\(148\) −9.38687 6.03258i −0.771596 0.495875i
\(149\) −0.824068 + 5.73152i −0.0675103 + 0.469544i 0.927821 + 0.373026i \(0.121680\pi\)
−0.995331 + 0.0965183i \(0.969229\pi\)
\(150\) 7.49201 + 4.34394i 0.611720 + 0.354681i
\(151\) −0.217280 0.139637i −0.0176820 0.0113635i 0.531770 0.846889i \(-0.321527\pi\)
−0.549452 + 0.835525i \(0.685163\pi\)
\(152\) −1.66332 + 1.44127i −0.134913 + 0.116903i
\(153\) 10.3328 4.93518i 0.835357 0.398985i
\(154\) −0.0488803 + 0.0314135i −0.00393889 + 0.00253137i
\(155\) −10.9952 5.74124i −0.883156 0.461148i
\(156\) 3.12884 3.67420i 0.250507 0.294171i
\(157\) −3.33608 + 0.979562i −0.266248 + 0.0781776i −0.412132 0.911124i \(-0.635216\pi\)
0.145884 + 0.989302i \(0.453398\pi\)
\(158\) −7.89613 3.60604i −0.628183 0.286881i
\(159\) 1.22933 + 8.05798i 0.0974922 + 0.639039i
\(160\) 2.19342 + 0.434631i 0.173405 + 0.0343606i
\(161\) 17.1249 + 2.70195i 1.34963 + 0.212944i
\(162\) 8.99468 0.309305i 0.706689 0.0243013i
\(163\) 12.3545 1.77630i 0.967677 0.139131i 0.359685 0.933074i \(-0.382884\pi\)
0.607992 + 0.793943i \(0.291975\pi\)
\(164\) 4.44252 + 2.02883i 0.346903 + 0.158425i
\(165\) 0.00612650 + 0.0619492i 0.000476947 + 0.00482274i
\(166\) −0.587523 0.509092i −0.0456006 0.0395132i
\(167\) −11.3269 3.32589i −0.876505 0.257365i −0.187625 0.982241i \(-0.560079\pi\)
−0.688880 + 0.724876i \(0.741897\pi\)
\(168\) 3.43025 + 5.23805i 0.264650 + 0.404124i
\(169\) 2.17548 + 4.76364i 0.167345 + 0.366434i
\(170\) 7.41368 4.22886i 0.568603 0.324339i
\(171\) −3.47368 + 5.61503i −0.265639 + 0.429392i
\(172\) 0.178488 1.24141i 0.0136096 0.0946569i
\(173\) −1.51063 + 10.5067i −0.114851 + 0.798807i 0.848236 + 0.529618i \(0.177665\pi\)
−0.963087 + 0.269189i \(0.913244\pi\)
\(174\) 9.93136 + 6.26256i 0.752895 + 0.474764i
\(175\) 5.73310 + 17.1415i 0.433382 + 1.29577i
\(176\) 0.00667707 + 0.0146207i 0.000503303 + 0.00110208i
\(177\) −2.87184 + 1.88069i −0.215861 + 0.141361i
\(178\) −11.0258 3.23748i −0.826421 0.242659i
\(179\) −15.5519 13.4758i −1.16241 1.00723i −0.999789 0.0205409i \(-0.993461\pi\)
−0.162617 0.986689i \(-0.551993\pi\)
\(180\) 6.66972 0.717532i 0.497131 0.0534817i
\(181\) −3.55252 1.62238i −0.264057 0.120591i 0.278988 0.960295i \(-0.410001\pi\)
−0.543044 + 0.839704i \(0.682728\pi\)
\(182\) 9.96961 1.43341i 0.738997 0.106252i
\(183\) −11.4022 + 0.0979872i −0.842875 + 0.00724342i
\(184\) 1.41401 4.58264i 0.104242 0.337837i
\(185\) −24.4746 4.84969i −1.79941 0.356556i
\(186\) −9.49811 + 1.44904i −0.696435 + 0.106248i
\(187\) 0.0558068 + 0.0254861i 0.00408100 + 0.00186373i
\(188\) −7.70133 + 2.26132i −0.561677 + 0.164923i
\(189\) 14.5083 + 11.9308i 1.05532 + 0.867838i
\(190\) −2.27788 + 4.36242i −0.165255 + 0.316483i
\(191\) 22.1760 14.2517i 1.60460 1.03122i 0.639694 0.768630i \(-0.279061\pi\)
0.964909 0.262586i \(-0.0845753\pi\)
\(192\) 1.56929 0.733032i 0.113254 0.0529021i
\(193\) −10.4138 + 9.02362i −0.749603 + 0.649535i −0.943457 0.331496i \(-0.892447\pi\)
0.193854 + 0.981030i \(0.437901\pi\)
\(194\) −7.13407 4.58479i −0.512197 0.329169i
\(195\) 3.49497 10.2094i 0.250280 0.731110i
\(196\) −0.863556 + 6.00617i −0.0616826 + 0.429012i
\(197\) 13.4061 + 8.61558i 0.955145 + 0.613835i 0.922650 0.385637i \(-0.126018\pi\)
0.0324948 + 0.999472i \(0.489655\pi\)
\(198\) 0.0321989 + 0.0358940i 0.00228827 + 0.00255087i
\(199\) 20.7984 9.49831i 1.47436 0.673318i 0.493807 0.869572i \(-0.335605\pi\)
0.980553 + 0.196254i \(0.0628778\pi\)
\(200\) 4.91925 0.894965i 0.347844 0.0632836i
\(201\) 4.90321 17.2457i 0.345845 1.21642i
\(202\) −4.24867 3.68149i −0.298935 0.259029i
\(203\) 6.90376 + 23.5121i 0.484549 + 1.65022i
\(204\) 2.69460 6.03711i 0.188660 0.422682i
\(205\) 10.9054 + 0.576542i 0.761669 + 0.0402674i
\(206\) −3.64136 −0.253706
\(207\) −0.0503197 14.3874i −0.00349746 0.999994i
\(208\) 2.78624i 0.193191i
\(209\) −0.0350153 + 0.00503444i −0.00242206 + 0.000348239i
\(210\) 11.4320 + 8.08265i 0.788880 + 0.557756i
\(211\) −13.6151 + 3.99775i −0.937301 + 0.275217i −0.714490 0.699645i \(-0.753341\pi\)
−0.222811 + 0.974862i \(0.571523\pi\)
\(212\) 3.55664 + 3.08184i 0.244271 + 0.211662i
\(213\) −20.2092 5.74579i −1.38471 0.393695i
\(214\) 8.90335 + 13.8539i 0.608620 + 0.947032i
\(215\) −0.646939 2.72879i −0.0441208 0.186102i
\(216\) 3.83797 3.50285i 0.261141 0.238339i
\(217\) −16.8695 10.8414i −1.14518 0.735961i
\(218\) −6.84378 0.983987i −0.463519 0.0666440i
\(219\) −3.30652 + 24.4895i −0.223434 + 1.65485i
\(220\) 0.0258819 + 0.0249374i 0.00174495 + 0.00168128i
\(221\) −6.96441 8.03736i −0.468477 0.540651i
\(222\) −17.5104 + 8.17932i −1.17522 + 0.548960i
\(223\) −5.77608 8.98776i −0.386795 0.601865i 0.592190 0.805799i \(-0.298264\pi\)
−0.978985 + 0.203934i \(0.934627\pi\)
\(224\) 3.46853 + 1.01845i 0.231751 + 0.0680482i
\(225\) 13.2858 6.96324i 0.885722 0.464216i
\(226\) −1.47712 5.03060i −0.0982565 0.334631i
\(227\) −0.439253 0.200600i −0.0291542 0.0133143i 0.400785 0.916172i \(-0.368738\pi\)
−0.429939 + 0.902858i \(0.641465\pi\)
\(228\) 0.574915 + 3.76844i 0.0380747 + 0.249571i
\(229\) 1.68361i 0.111256i −0.998452 0.0556280i \(-0.982284\pi\)
0.998452 0.0556280i \(-0.0177161\pi\)
\(230\) −0.817346 10.6926i −0.0538942 0.705050i
\(231\) 0.000864833 0.100636i 5.69018e−5 0.00662134i
\(232\) 6.70969 0.964707i 0.440512 0.0633361i
\(233\) 10.9547 23.9874i 0.717666 1.57147i −0.0994813 0.995039i \(-0.531718\pi\)
0.817147 0.576429i \(-0.195554\pi\)
\(234\) −2.49241 7.97847i −0.162934 0.521569i
\(235\) −14.1656 + 11.0208i −0.924059 + 0.718916i
\(236\) −0.558382 + 1.90167i −0.0363476 + 0.123788i
\(237\) −12.5781 + 8.23704i −0.817035 + 0.535053i
\(238\) 12.5512 5.73196i 0.813576 0.371548i
\(239\) −5.17383 + 4.48315i −0.334667 + 0.289991i −0.805941 0.591996i \(-0.798340\pi\)
0.471273 + 0.881987i \(0.343795\pi\)
\(240\) 2.66319 2.81201i 0.171908 0.181515i
\(241\) −28.1687 4.05004i −1.81450 0.260886i −0.850347 0.526223i \(-0.823608\pi\)
−0.964156 + 0.265337i \(0.914517\pi\)
\(242\) 1.56543 10.8878i 0.100629 0.699893i
\(243\) 7.85668 13.4637i 0.504006 0.863700i
\(244\) −4.97533 + 4.31115i −0.318513 + 0.275993i
\(245\) 3.13000 + 13.2023i 0.199968 + 0.843467i
\(246\) 7.07669 4.63432i 0.451194 0.295474i
\(247\) 5.88379 + 1.72764i 0.374376 + 0.109927i
\(248\) −3.63263 + 4.19228i −0.230672 + 0.266210i
\(249\) −1.28865 + 0.390442i −0.0816651 + 0.0247433i
\(250\) 9.49897 5.89657i 0.600768 0.372932i
\(251\) 0.225045 + 1.56523i 0.0142047 + 0.0987962i 0.995690 0.0927394i \(-0.0295624\pi\)
−0.981486 + 0.191536i \(0.938653\pi\)
\(252\) 10.8433 0.186382i 0.683062 0.0117409i
\(253\) 0.0589422 0.0496775i 0.00370567 0.00312320i
\(254\) 4.05737i 0.254582i
\(255\) 0.653562 14.7686i 0.0409276 0.924844i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 12.9401 3.79956i 0.807182 0.237010i 0.147994 0.988988i \(-0.452718\pi\)
0.659188 + 0.751978i \(0.270900\pi\)
\(258\) −1.65388 1.40839i −0.102966 0.0876828i
\(259\) −38.7025 11.3641i −2.40486 0.706130i
\(260\) −2.28532 5.79594i −0.141730 0.359449i
\(261\) 18.3504 8.76457i 1.13586 0.542513i
\(262\) −2.08815 + 1.80939i −0.129006 + 0.111785i
\(263\) 1.52338 2.37042i 0.0939355 0.146167i −0.791105 0.611680i \(-0.790494\pi\)
0.885041 + 0.465514i \(0.154130\pi\)
\(264\) 0.0275893 + 0.00372505i 0.00169801 + 0.000229261i
\(265\) 9.92631 + 3.49364i 0.609768 + 0.214612i
\(266\) −4.30140 + 6.69310i −0.263736 + 0.410380i
\(267\) −14.9295 + 13.1628i −0.913672 + 0.805552i
\(268\) −4.30013 9.41596i −0.262672 0.575171i
\(269\) 5.92847 + 9.22487i 0.361465 + 0.562451i 0.973588 0.228312i \(-0.0733206\pi\)
−0.612123 + 0.790763i \(0.709684\pi\)
\(270\) 5.11065 10.4346i 0.311024 0.635031i
\(271\) 2.53311 2.92337i 0.153876 0.177582i −0.673578 0.739116i \(-0.735243\pi\)
0.827453 + 0.561534i \(0.189789\pi\)
\(272\) −1.07536 3.66235i −0.0652034 0.222062i
\(273\) 7.11046 15.9306i 0.430345 0.964165i
\(274\) 19.4646 2.79859i 1.17590 0.169069i
\(275\) 0.0742937 + 0.0306462i 0.00448008 + 0.00184803i
\(276\) −5.40762 6.30537i −0.325500 0.379538i
\(277\) 11.1602i 0.670553i 0.942120 + 0.335277i \(0.108830\pi\)
−0.942120 + 0.335277i \(0.891170\pi\)
\(278\) 2.40334 + 16.7156i 0.144143 + 1.00254i
\(279\) −6.65197 + 15.2543i −0.398243 + 0.913249i
\(280\) 8.05059 0.726365i 0.481115 0.0434086i
\(281\) −6.05373 + 6.98637i −0.361135 + 0.416772i −0.907020 0.421088i \(-0.861648\pi\)
0.545885 + 0.837860i \(0.316194\pi\)
\(282\) −3.80194 + 13.3723i −0.226402 + 0.796307i
\(283\) −14.8659 + 9.55371i −0.883683 + 0.567909i −0.901910 0.431925i \(-0.857835\pi\)
0.0182261 + 0.999834i \(0.494198\pi\)
\(284\) −11.0340 + 5.03907i −0.654749 + 0.299014i
\(285\) 4.28689 + 7.36756i 0.253933 + 0.436417i
\(286\) 0.0242120 0.0376746i 0.00143169 0.00222775i
\(287\) 17.4753 + 2.51257i 1.03153 + 0.148312i
\(288\) 0.375848 2.97636i 0.0221470 0.175384i
\(289\) 2.04493 + 1.31420i 0.120290 + 0.0773057i
\(290\) 13.1662 7.51020i 0.773148 0.441014i
\(291\) −13.3080 + 6.21633i −0.780129 + 0.364408i
\(292\) 7.71349 + 12.0024i 0.451398 + 0.702389i
\(293\) 1.98572 6.76273i 0.116007 0.395083i −0.880934 0.473239i \(-0.843085\pi\)
0.996941 + 0.0781555i \(0.0249031\pi\)
\(294\) 8.00175 + 6.81405i 0.466672 + 0.397404i
\(295\) 0.398241 + 4.41386i 0.0231865 + 0.256985i
\(296\) −4.63528 + 10.1499i −0.269420 + 0.589948i
\(297\) 0.0823351 0.0140131i 0.00477757 0.000813120i
\(298\) 5.79046 0.335432
\(299\) −12.8714 + 3.58874i −0.744371 + 0.207542i
\(300\) 3.23350 8.03396i 0.186686 0.463841i
\(301\) −0.645228 4.48766i −0.0371903 0.258664i
\(302\) −0.107294 + 0.234940i −0.00617406 + 0.0135193i
\(303\) −9.31889 + 2.82348i −0.535356 + 0.162205i
\(304\) 1.66332 + 1.44127i 0.0953978 + 0.0826627i
\(305\) −6.81361 + 13.0489i −0.390146 + 0.747179i
\(306\) −6.35545 9.52527i −0.363317 0.544524i
\(307\) 28.7532 13.1311i 1.64103 0.749434i 0.641193 0.767380i \(-0.278440\pi\)
0.999839 + 0.0179459i \(0.00571265\pi\)
\(308\) 0.0380501 + 0.0439122i 0.00216811 + 0.00250213i
\(309\) −3.36412 + 5.33492i −0.191378 + 0.303493i
\(310\) −4.11802 + 11.7003i −0.233888 + 0.664535i
\(311\) −29.6592 4.26435i −1.68182 0.241809i −0.765840 0.643031i \(-0.777677\pi\)
−0.915981 + 0.401222i \(0.868586\pi\)
\(312\) −4.08208 2.57410i −0.231102 0.145729i
\(313\) −5.73952 6.62375i −0.324417 0.374397i 0.569990 0.821652i \(-0.306947\pi\)
−0.894406 + 0.447255i \(0.852402\pi\)
\(314\) 1.44437 + 3.16272i 0.0815103 + 0.178483i
\(315\) 22.4033 9.28157i 1.26228 0.522957i
\(316\) −2.44560 + 8.32895i −0.137576 + 0.468540i
\(317\) 12.5847 14.5235i 0.706825 0.815719i −0.282833 0.959169i \(-0.591274\pi\)
0.989658 + 0.143450i \(0.0458197\pi\)
\(318\) 7.80101 2.36359i 0.437459 0.132543i
\(319\) 0.0991094 + 0.0452617i 0.00554906 + 0.00253417i
\(320\) 0.118050 2.23295i 0.00659921 0.124826i
\(321\) 28.5226 0.245115i 1.59198 0.0136810i
\(322\) 0.237324 17.3351i 0.0132256 0.966048i
\(323\) 8.40069 0.467427
\(324\) −1.58623 8.85911i −0.0881241 0.492173i
\(325\) −9.50787 10.1823i −0.527402 0.564810i
\(326\) −3.51645 11.9759i −0.194758 0.663285i
\(327\) −7.76433 + 9.11767i −0.429369 + 0.504208i
\(328\) 1.37595 4.68604i 0.0759739 0.258743i
\(329\) −24.4092 + 15.6869i −1.34573 + 0.864845i
\(330\) 0.0604468 0.0148804i 0.00332749 0.000819141i
\(331\) −19.5193 22.5265i −1.07288 1.23817i −0.969905 0.243485i \(-0.921709\pi\)
−0.102974 0.994684i \(-0.532836\pi\)
\(332\) −0.420296 + 0.653994i −0.0230668 + 0.0358926i
\(333\) −4.19378 + 33.2108i −0.229818 + 1.81994i
\(334\) −1.68005 + 11.6850i −0.0919280 + 0.639373i
\(335\) −16.6683 16.0601i −0.910685 0.877455i
\(336\) 4.69656 4.14079i 0.256218 0.225898i
\(337\) −4.36763 9.56379i −0.237920 0.520973i 0.752577 0.658504i \(-0.228810\pi\)
−0.990497 + 0.137531i \(0.956083\pi\)
\(338\) 4.40555 2.83128i 0.239630 0.154001i
\(339\) −8.73493 2.48347i −0.474416 0.134884i
\(340\) −5.24089 6.73639i −0.284227 0.365332i
\(341\) −0.0855496 + 0.0251196i −0.00463277 + 0.00136030i
\(342\) 6.05224 + 2.63922i 0.327267 + 0.142712i
\(343\) −0.479515 3.33510i −0.0258914 0.180078i
\(344\) −1.25418 −0.0676208
\(345\) −16.4207 8.68101i −0.884062 0.467370i
\(346\) 10.6147 0.570651
\(347\) −4.88147 33.9514i −0.262051 1.82260i −0.517386 0.855752i \(-0.673095\pi\)
0.255335 0.966853i \(-0.417814\pi\)
\(348\) 4.78544 10.7215i 0.256527 0.574734i
\(349\) 19.2265 5.64541i 1.02917 0.302192i 0.276797 0.960928i \(-0.410727\pi\)
0.752374 + 0.658736i \(0.228909\pi\)
\(350\) 16.1511 8.11423i 0.863312 0.433724i
\(351\) −13.9918 3.71940i −0.746826 0.198527i
\(352\) 0.0135217 0.00868986i 0.000720708 0.000463171i
\(353\) −6.90622 15.1225i −0.367581 0.804890i −0.999553 0.0298988i \(-0.990481\pi\)
0.631972 0.774991i \(-0.282246\pi\)
\(354\) 2.27025 + 2.57496i 0.120662 + 0.136858i
\(355\) −18.8199 + 19.5326i −0.998855 + 1.03668i
\(356\) −1.63538 + 11.3743i −0.0866752 + 0.602839i
\(357\) 3.19779 23.6842i 0.169245 1.25350i
\(358\) −11.1254 + 17.3114i −0.587995 + 0.914938i
\(359\) 11.6131 + 13.4022i 0.612915 + 0.707342i 0.974346 0.225057i \(-0.0722569\pi\)
−0.361430 + 0.932399i \(0.617711\pi\)
\(360\) −1.65943 6.49972i −0.0874596 0.342565i
\(361\) 11.9089 7.65337i 0.626783 0.402809i
\(362\) −1.10029 + 3.74725i −0.0578300 + 0.196951i
\(363\) −14.5053 12.3523i −0.761331 0.648327i
\(364\) −2.83765 9.66414i −0.148733 0.506538i
\(365\) 25.8902 + 18.6407i 1.35516 + 0.975700i
\(366\) 1.71969 + 11.2722i 0.0898898 + 0.589207i
\(367\) 24.8309 1.29616 0.648080 0.761572i \(-0.275572\pi\)
0.648080 + 0.761572i \(0.275572\pi\)
\(368\) −4.73723 0.747436i −0.246945 0.0389628i
\(369\) −0.251805 14.6494i −0.0131084 0.762620i
\(370\) −1.31723 + 24.9157i −0.0684794 + 1.29531i
\(371\) 15.4750 + 7.06720i 0.803422 + 0.366911i
\(372\) 2.78601 + 9.19521i 0.144448 + 0.476749i
\(373\) −5.17827 + 5.97604i −0.268120 + 0.309428i −0.873804 0.486278i \(-0.838354\pi\)
0.605684 + 0.795706i \(0.292900\pi\)
\(374\) 0.0172846 0.0588658i 0.000893763 0.00304388i
\(375\) 0.136744 19.3644i 0.00706143 0.999975i
\(376\) 3.33431 + 7.30113i 0.171954 + 0.376527i
\(377\) −12.3684 14.2739i −0.637003 0.735141i
\(378\) 9.74462 16.0585i 0.501209 0.825962i
\(379\) −21.8053 3.13512i −1.12006 0.161040i −0.442685 0.896677i \(-0.645974\pi\)
−0.677376 + 0.735637i \(0.736883\pi\)
\(380\) 4.64220 + 1.63385i 0.238140 + 0.0838150i
\(381\) −5.94440 3.74844i −0.304541 0.192039i
\(382\) −17.2626 19.9221i −0.883232 1.01930i
\(383\) 2.76493 1.26270i 0.141281 0.0645210i −0.343520 0.939145i \(-0.611619\pi\)
0.484801 + 0.874624i \(0.338892\pi\)
\(384\) −0.948904 1.44899i −0.0484236 0.0739436i
\(385\) 0.115170 + 0.0601368i 0.00586958 + 0.00306486i
\(386\) 10.4138 + 9.02362i 0.530049 + 0.459290i
\(387\) −3.59138 + 1.12192i −0.182560 + 0.0570302i
\(388\) −3.52284 + 7.71394i −0.178845 + 0.391616i
\(389\) −2.88102 20.0379i −0.146074 1.01596i −0.922566 0.385838i \(-0.873912\pi\)
0.776493 0.630126i \(-0.216997\pi\)
\(390\) −10.6029 2.00644i −0.536897 0.101600i
\(391\) −15.5336 + 9.68497i −0.785568 + 0.489790i
\(392\) 6.06793 0.306477
\(393\) 0.721757 + 4.73095i 0.0364078 + 0.238645i
\(394\) 6.62000 14.4958i 0.333511 0.730286i
\(395\) 1.74422 + 19.3318i 0.0877611 + 0.972690i
\(396\) 0.0309463 0.0369794i 0.00155511 0.00185828i
\(397\) −4.02772 + 13.7172i −0.202146 + 0.688444i 0.794549 + 0.607200i \(0.207707\pi\)
−0.996694 + 0.0812440i \(0.974111\pi\)
\(398\) −12.3616 19.2350i −0.619629 0.964161i
\(399\) 5.83208 + 12.4854i 0.291969 + 0.625053i
\(400\) −1.58594 4.74181i −0.0792969 0.237091i
\(401\) −14.6717 9.42894i −0.732670 0.470859i 0.120353 0.992731i \(-0.461597\pi\)
−0.853024 + 0.521872i \(0.825234\pi\)
\(402\) −17.7679 2.39899i −0.886183 0.119651i
\(403\) 15.2984 + 2.19958i 0.762070 + 0.109569i
\(404\) −3.03937 + 4.72935i −0.151214 + 0.235294i
\(405\) −10.5661 17.1277i −0.525033 0.851082i
\(406\) 22.2902 10.1796i 1.10625 0.505205i
\(407\) −0.150878 + 0.0969631i −0.00747872 + 0.00480628i
\(408\) −6.35914 1.80800i −0.314824 0.0895094i
\(409\) 12.3065 14.2024i 0.608516 0.702265i −0.364968 0.931020i \(-0.618920\pi\)
0.973484 + 0.228755i \(0.0734655\pi\)
\(410\) −0.981332 10.8765i −0.0484645 0.537151i
\(411\) 13.8824 31.1028i 0.684769 1.53419i
\(412\) 0.518220 + 3.60430i 0.0255309 + 0.177571i
\(413\) 7.16470i 0.352552i
\(414\) −14.2338 + 2.09735i −0.699553 + 0.103079i
\(415\) −0.337884 + 1.70517i −0.0165861 + 0.0837037i
\(416\) −2.75788 + 0.396523i −0.135216 + 0.0194411i
\(417\) 26.7102 + 11.9218i 1.30800 + 0.583813i
\(418\) 0.00996639 + 0.0339424i 0.000487472 + 0.00166018i
\(419\) −9.60315 + 11.0826i −0.469145 + 0.541422i −0.940174 0.340696i \(-0.889337\pi\)
0.471029 + 0.882118i \(0.343883\pi\)
\(420\) 6.37344 12.4659i 0.310992 0.608273i
\(421\) 17.9645 + 27.9533i 0.875536 + 1.36236i 0.931429 + 0.363924i \(0.118563\pi\)
−0.0558922 + 0.998437i \(0.517800\pi\)
\(422\) 5.89469 + 12.9076i 0.286949 + 0.628331i
\(423\) 16.0791 + 17.9243i 0.781791 + 0.871509i
\(424\) 2.54431 3.95903i 0.123563 0.192267i
\(425\) −16.4274 9.71437i −0.796848 0.471216i
\(426\) −2.81123 + 20.8212i −0.136205 + 1.00879i
\(427\) −12.8664 + 20.0205i −0.622648 + 0.968859i
\(428\) 12.4458 10.7843i 0.601590 0.521281i
\(429\) −0.0328280 0.0702788i −0.00158495 0.00339309i
\(430\) −2.60895 + 1.02870i −0.125815 + 0.0496084i
\(431\) 21.8220 + 6.40751i 1.05113 + 0.308639i 0.761273 0.648432i \(-0.224575\pi\)
0.289855 + 0.957071i \(0.406393\pi\)
\(432\) −4.01340 3.30040i −0.193095 0.158790i
\(433\) 25.8186 7.58104i 1.24076 0.364321i 0.405462 0.914112i \(-0.367111\pi\)
0.835303 + 0.549790i \(0.185292\pi\)
\(434\) −8.33025 + 18.2407i −0.399865 + 0.875582i
\(435\) 1.16069 26.2281i 0.0556506 1.25754i
\(436\) 6.91416i 0.331128i
\(437\) 4.51576 9.54031i 0.216018 0.456375i
\(438\) 24.7108 0.212357i 1.18073 0.0101468i
\(439\) −4.61673 32.1101i −0.220345 1.53253i −0.736737 0.676179i \(-0.763635\pi\)
0.516393 0.856352i \(-0.327274\pi\)
\(440\) 0.0210002 0.0291674i 0.00100115 0.00139050i
\(441\) 17.3757 5.42802i 0.827414 0.258477i
\(442\) −6.96441 + 8.03736i −0.331263 + 0.382298i
\(443\) −5.05622 1.48464i −0.240228 0.0705374i 0.159402 0.987214i \(-0.449043\pi\)
−0.399630 + 0.916676i \(0.630862\pi\)
\(444\) 10.5881 + 16.1681i 0.502487 + 0.767306i
\(445\) 5.92752 + 25.0023i 0.280991 + 1.18522i
\(446\) −8.07426 + 6.99638i −0.382327 + 0.331288i
\(447\) 5.34958 8.48352i 0.253026 0.401257i
\(448\) 0.514462 3.57816i 0.0243061 0.169052i
\(449\) 7.37839 + 1.06085i 0.348208 + 0.0500647i 0.314200 0.949357i \(-0.398264\pi\)
0.0340078 + 0.999422i \(0.489173\pi\)
\(450\) −8.78313 12.1596i −0.414041 0.573210i
\(451\) 0.0593261 0.0514064i 0.00279356 0.00242063i
\(452\) −4.76918 + 2.17801i −0.224324 + 0.102445i
\(453\) 0.245084 + 0.374247i 0.0115150 + 0.0175837i
\(454\) −0.136046 + 0.463330i −0.00638496 + 0.0217452i
\(455\) −13.8296 17.7759i −0.648341 0.833346i
\(456\) 3.64826 1.10537i 0.170846 0.0517636i
\(457\) 3.17031 6.94201i 0.148301 0.324733i −0.820873 0.571110i \(-0.806513\pi\)
0.969174 + 0.246377i \(0.0792401\pi\)
\(458\) −1.66647 + 0.239602i −0.0778691 + 0.0111959i
\(459\) −19.8269 + 0.511261i −0.925441 + 0.0238636i
\(460\) −10.4675 + 2.33074i −0.488048 + 0.108672i
\(461\) 3.00904i 0.140145i 0.997542 + 0.0700724i \(0.0223230\pi\)
−0.997542 + 0.0700724i \(0.977677\pi\)
\(462\) 0.0994882 0.0151780i 0.00462861 0.000706143i
\(463\) 28.0981 + 12.8320i 1.30583 + 0.596351i 0.942156 0.335176i \(-0.108796\pi\)
0.363672 + 0.931527i \(0.381523\pi\)
\(464\) −1.90978 6.50410i −0.0886591 0.301945i
\(465\) 13.3375 + 16.8428i 0.618514 + 0.781064i
\(466\) −25.3023 7.42942i −1.17211 0.344161i
\(467\) 17.5028 + 27.2349i 0.809934 + 1.26028i 0.962309 + 0.271960i \(0.0876717\pi\)
−0.152374 + 0.988323i \(0.548692\pi\)
\(468\) −7.54255 + 3.60249i −0.348654 + 0.166525i
\(469\) −24.5048 28.2801i −1.13153 1.30585i
\(470\) 12.9246 + 12.4530i 0.596166 + 0.574412i
\(471\) 5.96805 + 0.805793i 0.274993 + 0.0371290i
\(472\) 1.96178 + 0.282062i 0.0902984 + 0.0129830i
\(473\) −0.0169586 0.0108986i −0.000779758 0.000501120i
\(474\) 9.94325 + 11.2778i 0.456708 + 0.518007i
\(475\) 10.9968 0.408866i 0.504569 0.0187600i
\(476\) −7.45985 11.6077i −0.341921 0.532040i
\(477\) 3.74419 13.6128i 0.171435 0.623287i
\(478\) 5.17383 + 4.48315i 0.236645 + 0.205054i
\(479\) −31.8283 + 9.34562i −1.45427 + 0.427012i −0.910951 0.412514i \(-0.864651\pi\)
−0.543319 + 0.839526i \(0.682833\pi\)
\(480\) −3.16240 2.23589i −0.144343 0.102054i
\(481\) 30.7729 4.42448i 1.40312 0.201739i
\(482\) 28.4583i 1.29624i
\(483\) −25.1782 16.3629i −1.14565 0.744540i
\(484\) −10.9997 −0.499988
\(485\) −1.00110 + 18.9361i −0.0454576 + 0.859842i
\(486\) −14.4448 5.86062i −0.655231 0.265843i
\(487\) −2.20953 7.52496i −0.100123 0.340989i 0.894162 0.447743i \(-0.147772\pi\)
−0.994285 + 0.106755i \(0.965954\pi\)
\(488\) 4.97533 + 4.31115i 0.225223 + 0.195157i
\(489\) −20.7945 5.91219i −0.940359 0.267359i
\(490\) 12.6225 4.97703i 0.570227 0.224839i
\(491\) 6.78378 3.09805i 0.306148 0.139813i −0.256417 0.966566i \(-0.582542\pi\)
0.562565 + 0.826753i \(0.309815\pi\)
\(492\) −5.59427 6.34513i −0.252209 0.286061i
\(493\) −21.7666 13.9885i −0.980317 0.630011i
\(494\) 0.872701 6.06977i 0.0392647 0.273092i
\(495\) 0.0340433 0.102307i 0.00153013 0.00459837i
\(496\) 4.66659 + 2.99903i 0.209536 + 0.134661i
\(497\) −33.1398 + 28.7158i −1.48652 + 1.28808i
\(498\) 0.569863 + 1.21997i 0.0255362 + 0.0546682i
\(499\) 20.2977 13.0445i 0.908649 0.583953i −0.000694210 1.00000i \(-0.500221\pi\)
0.909343 + 0.416046i \(0.136585\pi\)
\(500\) −7.18840 8.56312i −0.321475 0.382954i
\(501\) 15.5674 + 13.2567i 0.695499 + 0.592266i
\(502\) 1.51727 0.445510i 0.0677189 0.0198841i
\(503\) −14.1359 6.45564i −0.630288 0.287843i 0.0745434 0.997218i \(-0.476250\pi\)
−0.704831 + 0.709375i \(0.748977\pi\)
\(504\) −1.72764 10.7064i −0.0769554 0.476900i
\(505\) −2.44340 + 12.3310i −0.108730 + 0.548721i
\(506\) −0.0575602 0.0512724i −0.00255886 0.00227934i
\(507\) −0.0779468 9.07022i −0.00346174 0.402823i
\(508\) −4.01607 + 0.577424i −0.178184 + 0.0256190i
\(509\) −24.3197 11.1064i −1.07795 0.492284i −0.204336 0.978901i \(-0.565504\pi\)
−0.873616 + 0.486617i \(0.838231\pi\)
\(510\) −14.7113 + 1.45488i −0.651425 + 0.0644230i
\(511\) 38.9783 + 33.7749i 1.72430 + 1.49411i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 9.45811 6.42878i 0.417586 0.283838i
\(514\) −5.60246 12.2677i −0.247114 0.541104i
\(515\) 4.03432 + 7.07262i 0.177773 + 0.311657i
\(516\) −1.15869 + 1.83748i −0.0510084 + 0.0808906i
\(517\) −0.0183602 + 0.127698i −0.000807482 + 0.00561616i
\(518\) −5.74047 + 39.9259i −0.252222 + 1.75424i
\(519\) 9.80652 15.5515i 0.430459 0.682634i
\(520\) −5.41171 + 3.08691i −0.237319 + 0.135370i
\(521\) −11.6764 25.5678i −0.511553 1.12015i −0.972539 0.232738i \(-0.925231\pi\)
0.460986 0.887407i \(-0.347496\pi\)
\(522\) −11.2869 16.9163i −0.494014 0.740406i
\(523\) 13.0356 + 3.82761i 0.570008 + 0.167370i 0.554021 0.832503i \(-0.313093\pi\)
0.0159873 + 0.999872i \(0.494911\pi\)
\(524\) 2.08815 + 1.80939i 0.0912213 + 0.0790437i
\(525\) 3.03331 31.1592i 0.132384 1.35990i
\(526\) −2.56310 1.17053i −0.111756 0.0510374i
\(527\) 20.9579 3.01329i 0.912939 0.131261i
\(528\) −0.000239237 0.0278387i −1.04115e−5 0.00121152i
\(529\) 2.64878 + 22.8470i 0.115165 + 0.993346i
\(530\) 2.04542 10.3225i 0.0888472 0.448379i
\(531\) 5.86994 0.947207i 0.254734 0.0411053i
\(532\) 7.23713 + 3.30509i 0.313769 + 0.143294i
\(533\) −13.0564 + 3.83371i −0.565536 + 0.166056i
\(534\) 15.1535 + 12.9043i 0.655758 + 0.558424i
\(535\) 17.0442 32.6419i 0.736887 1.41123i
\(536\) −8.70815 + 5.59639i −0.376135 + 0.241727i
\(537\) 15.0845 + 32.2930i 0.650942 + 1.39355i
\(538\) 8.28727 7.18096i 0.357290 0.309593i
\(539\) 0.0820486 + 0.0527294i 0.00353408 + 0.00227122i
\(540\) −11.0557 3.57363i −0.475763 0.153784i
\(541\) −4.24105 + 29.4971i −0.182337 + 1.26818i 0.668881 + 0.743369i \(0.266773\pi\)
−0.851218 + 0.524812i \(0.824136\pi\)
\(542\) −3.25411 2.09129i −0.139776 0.0898286i
\(543\) 4.47353 + 5.07396i 0.191977 + 0.217744i
\(544\) −3.47203 + 1.58562i −0.148862 + 0.0679830i
\(545\) 5.67112 + 14.3828i 0.242924 + 0.616093i
\(546\) −16.7804 4.77092i −0.718135 0.204177i
\(547\) −4.42071 3.83056i −0.189016 0.163783i 0.555212 0.831709i \(-0.312637\pi\)
−0.744228 + 0.667926i \(0.767182\pi\)
\(548\) −5.54020 18.8682i −0.236666 0.806009i
\(549\) 18.1035 + 7.89445i 0.772639 + 0.336927i
\(550\) 0.0197611 0.0778989i 0.000842617 0.00332162i
\(551\) 14.9191 0.635575
\(552\) −5.47160 + 6.24993i −0.232887 + 0.266014i
\(553\) 31.3799i 1.33441i
\(554\) 11.0466 1.58827i 0.469326 0.0674790i
\(555\) 35.2867 + 24.9485i 1.49784 + 1.05900i
\(556\) 16.2034 4.75776i 0.687178 0.201774i
\(557\) −24.2919 21.0490i −1.02928 0.891877i −0.0350762 0.999385i \(-0.511167\pi\)
−0.994204 + 0.107508i \(0.965713\pi\)
\(558\) 16.0457 + 4.41336i 0.679267 + 0.186832i
\(559\) 1.88924 + 2.93971i 0.0799062 + 0.124336i
\(560\) −1.86469 7.86528i −0.0787976 0.332369i
\(561\) −0.0702750 0.0797072i −0.00296701 0.00336524i
\(562\) 7.77680 + 4.99784i 0.328044 + 0.210821i
\(563\) 18.3984 + 2.64529i 0.775399 + 0.111486i 0.518643 0.854991i \(-0.326437\pi\)
0.256756 + 0.966476i \(0.417346\pi\)
\(564\) 13.7772 + 1.86017i 0.580126 + 0.0783273i
\(565\) −8.13442 + 8.44248i −0.342218 + 0.355178i
\(566\) 11.5721 + 13.3549i 0.486411 + 0.561349i
\(567\) −14.5245 29.1126i −0.609971 1.22261i
\(568\) 6.55809 + 10.2046i 0.275171 + 0.428175i
\(569\) 31.1601 + 9.14944i 1.30630 + 0.383564i 0.859530 0.511085i \(-0.170756\pi\)
0.446770 + 0.894649i \(0.352574\pi\)
\(570\) 6.68248 5.29176i 0.279898 0.221648i
\(571\) −2.82959 9.63669i −0.118415 0.403283i 0.878859 0.477083i \(-0.158306\pi\)
−0.997273 + 0.0737994i \(0.976488\pi\)
\(572\) −0.0407368 0.0186039i −0.00170329 0.000777868i
\(573\) −45.1359 + 6.88595i −1.88558 + 0.287665i
\(574\) 17.6550i 0.736905i
\(575\) −19.8627 + 13.4340i −0.828332 + 0.560237i
\(576\) −2.99956 + 0.0515584i −0.124982 + 0.00214827i
\(577\) −16.8378 + 2.42092i −0.700968 + 0.100784i −0.483579 0.875301i \(-0.660663\pi\)
−0.217390 + 0.976085i \(0.569754\pi\)
\(578\) 1.00980 2.21115i 0.0420020 0.0919716i
\(579\) 22.8413 6.92057i 0.949253 0.287609i
\(580\) −9.30750 11.9634i −0.386473 0.496753i
\(581\) −0.791749 + 2.69645i −0.0328473 + 0.111868i
\(582\) 8.04698 + 12.2879i 0.333558 + 0.509349i
\(583\) 0.0688068 0.0314230i 0.00284968 0.00130141i
\(584\) 10.7825 9.34310i 0.446184 0.386620i
\(585\) −12.7352 + 13.6805i −0.526536 + 0.565617i
\(586\) −6.97649 1.00307i −0.288196 0.0414364i
\(587\) 5.39106 37.4956i 0.222513 1.54761i −0.505973 0.862549i \(-0.668866\pi\)
0.728486 0.685061i \(-0.240225\pi\)
\(588\) 5.60593 8.89005i 0.231185 0.366619i
\(589\) −9.22673 + 7.99500i −0.380181 + 0.329428i
\(590\) 4.31226 1.02235i 0.177533 0.0420893i
\(591\) −15.1216 23.0910i −0.622020 0.949835i
\(592\) 10.7062 + 3.14363i 0.440023 + 0.129202i
\(593\) 26.2792 30.3278i 1.07916 1.24542i 0.111335 0.993783i \(-0.464487\pi\)
0.967823 0.251632i \(-0.0809673\pi\)
\(594\) −0.0255879 0.0795028i −0.00104989 0.00326204i
\(595\) −25.0389 18.0278i −1.02649 0.739066i
\(596\) −0.824068 5.73152i −0.0337551 0.234772i
\(597\) −39.6012 + 0.340321i −1.62077 + 0.0139284i
\(598\) 5.38400 + 12.2296i 0.220168 + 0.500107i
\(599\) 33.6039i 1.37302i 0.727121 + 0.686510i \(0.240858\pi\)
−0.727121 + 0.686510i \(0.759142\pi\)
\(600\) −8.41236 2.05724i −0.343433 0.0839865i
\(601\) −15.1375 + 33.1465i −0.617471 + 1.35207i 0.299873 + 0.953979i \(0.403056\pi\)
−0.917344 + 0.398094i \(0.869672\pi\)
\(602\) −4.35016 + 1.27732i −0.177299 + 0.0520597i
\(603\) −19.9298 + 23.8152i −0.811605 + 0.969831i
\(604\) 0.247819 + 0.0727661i 0.0100836 + 0.00296081i
\(605\) −22.8817 + 9.02219i −0.930273 + 0.366804i
\(606\) 4.12096 + 8.82221i 0.167402 + 0.358378i
\(607\) 4.88592 4.23367i 0.198313 0.171839i −0.550043 0.835136i \(-0.685389\pi\)
0.748356 + 0.663297i \(0.230843\pi\)
\(608\) 1.18989 1.85150i 0.0482563 0.0750883i
\(609\) 5.67907 42.0617i 0.230128 1.70442i
\(610\) 13.8858 + 4.88721i 0.562219 + 0.197877i
\(611\) 12.0907 18.8135i 0.489137 0.761112i
\(612\) −8.52385 + 7.64635i −0.344556 + 0.309086i
\(613\) 10.0682 + 22.0463i 0.406651 + 0.890441i 0.996552 + 0.0829661i \(0.0264393\pi\)
−0.589901 + 0.807475i \(0.700833\pi\)
\(614\) −17.0895 26.5918i −0.689676 1.07316i
\(615\) −16.8416 8.61063i −0.679119 0.347214i
\(616\) 0.0380501 0.0439122i 0.00153308 0.00176927i
\(617\) 10.9103 + 37.1570i 0.439232 + 1.49589i 0.820622 + 0.571472i \(0.193627\pi\)
−0.381390 + 0.924414i \(0.624554\pi\)
\(618\) 5.75938 + 2.57064i 0.231676 + 0.103406i
\(619\) 16.1584 2.32323i 0.649463 0.0933786i 0.190293 0.981727i \(-0.439056\pi\)
0.459170 + 0.888349i \(0.348147\pi\)
\(620\) 12.1673 + 2.41098i 0.488651 + 0.0968271i
\(621\) −10.0773 + 22.7914i −0.404387 + 0.914588i
\(622\) 29.9642i 1.20146i
\(623\) 5.91185 + 41.1178i 0.236853 + 1.64735i
\(624\) −1.96696 + 4.40686i −0.0787412 + 0.176416i
\(625\) −21.9769 11.9170i −0.879078 0.476678i
\(626\) −5.73952 + 6.62375i −0.229397 + 0.264738i
\(627\) 0.0589362 + 0.0167565i 0.00235368 + 0.000669188i
\(628\) 2.92497 1.87977i 0.116719 0.0750108i
\(629\) 38.7416 17.6927i 1.54473 0.705454i
\(630\) −12.3754 20.8544i −0.493049 0.830859i
\(631\) 16.5140 25.6963i 0.657412 1.02295i −0.339200 0.940714i \(-0.610156\pi\)
0.996613 0.0822392i \(-0.0262071\pi\)
\(632\) 8.59222 + 1.23538i 0.341780 + 0.0491406i
\(633\) 24.3566 + 3.28857i 0.968087 + 0.130709i
\(634\) −16.1666 10.3897i −0.642058 0.412626i
\(635\) −7.88062 + 4.49521i −0.312733 + 0.178387i
\(636\) −3.44973 7.38523i −0.136791 0.292844i
\(637\) −9.14044 14.2228i −0.362158 0.563528i
\(638\) 0.0306963 0.104542i 0.00121528 0.00413886i
\(639\) 27.9077 + 23.3546i 1.10401 + 0.923894i
\(640\) −2.22702 + 0.200933i −0.0880308 + 0.00794258i
\(641\) −19.5789 + 42.8718i −0.773321 + 1.69334i −0.0541189 + 0.998534i \(0.517235\pi\)
−0.719202 + 0.694801i \(0.755492\pi\)
\(642\) −4.30181 28.1974i −0.169779 1.11286i
\(643\) 13.0632 0.515163 0.257581 0.966257i \(-0.417074\pi\)
0.257581 + 0.966257i \(0.417074\pi\)
\(644\) −17.1924 + 2.23214i −0.677477 + 0.0879584i
\(645\) −0.903168 + 4.77271i −0.0355622 + 0.187925i
\(646\) −1.19554 8.31518i −0.0470380 0.327156i
\(647\) 4.60331 10.0798i 0.180975 0.396280i −0.797303 0.603580i \(-0.793740\pi\)
0.978277 + 0.207300i \(0.0664677\pi\)
\(648\) −8.54319 + 2.83087i −0.335608 + 0.111207i
\(649\) 0.0240755 + 0.0208616i 0.000945048 + 0.000818888i
\(650\) −8.72550 + 10.8602i −0.342242 + 0.425971i
\(651\) 19.0282 + 29.0564i 0.745775 + 1.13881i
\(652\) −11.3536 + 5.18501i −0.444641 + 0.203061i
\(653\) 21.8727 + 25.2425i 0.855947 + 0.987815i 0.999998 0.00175515i \(-0.000558681\pi\)
−0.144052 + 0.989570i \(0.546013\pi\)
\(654\) 10.1298 + 6.38772i 0.396108 + 0.249780i
\(655\) 5.82788 + 2.05116i 0.227714 + 0.0801456i
\(656\) −4.83416 0.695047i −0.188742 0.0271370i
\(657\) 22.5182 36.3997i 0.878520 1.42009i
\(658\) 19.0010 + 21.9283i 0.740736 + 0.854855i
\(659\) 16.2245 + 35.5266i 0.632015 + 1.38392i 0.906450 + 0.422314i \(0.138782\pi\)
−0.274434 + 0.961606i \(0.588491\pi\)
\(660\) −0.0233314 0.0577138i −0.000908175 0.00224651i
\(661\) 13.3998 45.6355i 0.521191 1.77502i −0.104037 0.994573i \(-0.533176\pi\)
0.625228 0.780442i \(-0.285006\pi\)
\(662\) −19.5193 + 22.5265i −0.758640 + 0.875517i
\(663\) 5.34128 + 17.6289i 0.207438 + 0.684649i
\(664\) 0.707152 + 0.322945i 0.0274428 + 0.0125327i
\(665\) 17.7656 + 0.939220i 0.688920 + 0.0364214i
\(666\) 33.4696 0.575299i 1.29692 0.0222924i
\(667\) −27.5867 + 17.1999i −1.06816 + 0.665983i
\(668\) 11.8051 0.456754
\(669\) 2.79082 + 18.2932i 0.107899 + 0.707255i
\(670\) −13.5245 + 18.7842i −0.522495 + 0.725697i
\(671\) 0.0298116 + 0.101529i 0.00115086 + 0.00391948i
\(672\) −4.76703 4.05946i −0.183892 0.156597i
\(673\) 0.189305 0.644715i 0.00729718 0.0248519i −0.955764 0.294135i \(-0.904969\pi\)
0.963061 + 0.269283i \(0.0867867\pi\)
\(674\) −8.84486 + 5.68425i −0.340691 + 0.218949i
\(675\) −25.9293 + 1.63425i −0.998020 + 0.0629022i
\(676\) −3.42943 3.95778i −0.131901 0.152222i
\(677\) −11.9288 + 18.5615i −0.458459 + 0.713377i −0.991123 0.132951i \(-0.957555\pi\)
0.532663 + 0.846327i \(0.321191\pi\)
\(678\) −1.21509 + 8.99945i −0.0466651 + 0.345622i
\(679\) −4.36279 + 30.3439i −0.167428 + 1.16449i
\(680\) −5.92197 + 6.14624i −0.227097 + 0.235697i
\(681\) 0.553132 + 0.627372i 0.0211960 + 0.0240410i
\(682\) 0.0370389 + 0.0811040i 0.00141829 + 0.00310563i
\(683\) −28.4000 + 18.2516i −1.08670 + 0.698378i −0.956095 0.293057i \(-0.905328\pi\)
−0.130603 + 0.991435i \(0.541691\pi\)
\(684\) 1.75103 6.36623i 0.0669523 0.243419i
\(685\) −27.0008 34.7055i −1.03165 1.32603i
\(686\) −3.23291 + 0.949268i −0.123433 + 0.0362432i
\(687\) −1.18855 + 2.66289i −0.0453460 + 0.101595i
\(688\) 0.178488 + 1.24141i 0.00680480 + 0.0473284i
\(689\) −13.1123 −0.499540
\(690\) −6.25574 + 17.4890i −0.238152 + 0.665796i
\(691\) −20.6708 −0.786355 −0.393178 0.919463i \(-0.628624\pi\)
−0.393178 + 0.919463i \(0.628624\pi\)
\(692\) −1.51063 10.5067i −0.0574256 0.399404i
\(693\) 0.0696763 0.159781i 0.00264678 0.00606959i
\(694\) −32.9111 + 9.66357i −1.24929 + 0.366824i
\(695\) 29.8040 23.1874i 1.13053 0.879550i
\(696\) −11.2934 3.21090i −0.428077 0.121709i
\(697\) −15.6823 + 10.0784i −0.594008 + 0.381746i
\(698\) −8.32416 18.2274i −0.315074 0.689916i
\(699\) −34.2606 + 30.2063i −1.29585 + 1.14251i
\(700\) −10.3302 14.8319i −0.390444 0.560594i
\(701\) −1.55650 + 10.8257i −0.0587881 + 0.408880i 0.939085 + 0.343686i \(0.111676\pi\)
−0.997873 + 0.0651939i \(0.979233\pi\)
\(702\) −1.69031 + 14.3787i −0.0637965 + 0.542689i
\(703\) −13.2770 + 20.6594i −0.500752 + 0.779185i
\(704\) −0.0105257 0.0121474i −0.000396704 0.000457821i
\(705\) 30.1852 7.43081i 1.13684 0.279860i
\(706\) −13.9857 + 8.98808i −0.526360 + 0.338271i
\(707\) −5.72553 + 19.4993i −0.215331 + 0.733348i
\(708\) 2.22566 2.61360i 0.0836455 0.0982250i
\(709\) 1.68526 + 5.73945i 0.0632911 + 0.215550i 0.985066 0.172175i \(-0.0550794\pi\)
−0.921775 + 0.387724i \(0.873261\pi\)
\(710\) 22.0121 + 15.8485i 0.826101 + 0.594785i
\(711\) 25.7092 4.14858i 0.964169 0.155584i
\(712\) 11.4913 0.430655
\(713\) 7.84375 25.4207i 0.293751 0.952014i
\(714\) −23.8982 + 0.205374i −0.894369 + 0.00768594i
\(715\) −0.100000 0.00528675i −0.00373979 0.000197713i
\(716\) 18.7185 + 8.54847i 0.699545 + 0.319471i
\(717\) 11.3481 3.43830i 0.423803 0.128406i
\(718\) 11.6131 13.4022i 0.433396 0.500166i
\(719\) −6.35966 + 21.6590i −0.237175 + 0.807745i 0.751765 + 0.659431i \(0.229203\pi\)
−0.988940 + 0.148314i \(0.952615\pi\)
\(720\) −6.19740 + 2.56754i −0.230963 + 0.0956867i
\(721\) 5.46827 + 11.9738i 0.203649 + 0.445929i
\(722\) −9.27028 10.6985i −0.345004 0.398156i
\(723\) 41.6939 + 26.2915i 1.55061 + 0.977793i
\(724\) 3.86569 + 0.555803i 0.143667 + 0.0206563i
\(725\) −29.1741 17.2521i −1.08350 0.640728i
\(726\) −10.1622 + 16.1156i −0.377156 + 0.598105i
\(727\) −2.68972 3.10410i −0.0997561 0.115125i 0.703676 0.710521i \(-0.251541\pi\)
−0.803432 + 0.595396i \(0.796995\pi\)
\(728\) −9.16193 + 4.18411i −0.339564 + 0.155074i
\(729\) −21.9313 + 15.7485i −0.812272 + 0.583279i
\(730\) 14.7664 28.2796i 0.546530 1.04667i
\(731\) 3.61789 + 3.13492i 0.133812 + 0.115949i
\(732\) 10.9127 3.30639i 0.403346 0.122208i
\(733\) −7.94247 + 17.3916i −0.293362 + 0.642373i −0.997721 0.0674706i \(-0.978507\pi\)
0.704359 + 0.709844i \(0.251234\pi\)
\(734\) −3.53380 24.5781i −0.130435 0.907195i
\(735\) 4.36968 23.0912i 0.161178 0.851731i
\(736\) −0.0656506 + 4.79538i −0.00241991 + 0.176760i
\(737\) −0.166381 −0.00612871
\(738\) −14.4645 + 2.33408i −0.532446 + 0.0859185i
\(739\) −10.4802 + 22.9484i −0.385519 + 0.844170i 0.613016 + 0.790070i \(0.289956\pi\)
−0.998536 + 0.0540992i \(0.982771\pi\)
\(740\) 24.8495 2.24205i 0.913487 0.0824195i
\(741\) −8.08648 6.88621i −0.297064 0.252971i
\(742\) 4.79294 16.3233i 0.175954 0.599246i
\(743\) 20.3889 + 31.7257i 0.747996 + 1.16390i 0.981484 + 0.191544i \(0.0613496\pi\)
−0.233488 + 0.972360i \(0.575014\pi\)
\(744\) 8.70513 4.06627i 0.319145 0.149077i
\(745\) −6.41532 11.2468i −0.235039 0.412051i
\(746\) 6.65215 + 4.27508i 0.243553 + 0.156522i
\(747\) 2.31384 + 0.292186i 0.0846589 + 0.0106905i
\(748\) −0.0607265 0.00873115i −0.00222038 0.000319243i
\(749\) 32.1852 50.0812i 1.17602 1.82993i
\(750\) −19.1868 + 2.62049i −0.700603 + 0.0956869i
\(751\) 28.6005 13.0614i 1.04365 0.476618i 0.181561 0.983380i \(-0.441885\pi\)
0.862086 + 0.506762i \(0.169158\pi\)
\(752\) 6.75229 4.33943i 0.246231 0.158243i
\(753\) 0.749034 2.63452i 0.0272963 0.0960071i
\(754\) −12.3684 + 14.2739i −0.450429 + 0.519823i
\(755\) 0.575197 0.0518972i 0.0209336 0.00188873i
\(756\) −17.2819 7.36007i −0.628536 0.267683i
\(757\) −4.42407 30.7701i −0.160796 1.11836i −0.897138 0.441750i \(-0.854358\pi\)
0.736343 0.676609i \(-0.236551\pi\)
\(758\) 22.0295i 0.800147i
\(759\) −0.128296 + 0.0369621i −0.00465686 + 0.00134164i
\(760\) 0.956571 4.82747i 0.0346985 0.175111i
\(761\) −30.3626 + 4.36548i −1.10064 + 0.158249i −0.668613 0.743610i \(-0.733112\pi\)
−0.432030 + 0.901859i \(0.642203\pi\)
\(762\) −2.86432 + 6.41735i −0.103763 + 0.232476i
\(763\) 7.04173 + 23.9819i 0.254928 + 0.868205i
\(764\) −17.2626 + 19.9221i −0.624539 + 0.720756i
\(765\) −11.4596 + 22.8974i −0.414324 + 0.827856i
\(766\) −1.64334 2.55708i −0.0593762 0.0923912i
\(767\) −2.29401 5.02317i −0.0828317 0.181376i
\(768\) −1.29920 + 1.14546i −0.0468809 + 0.0413332i
\(769\) 20.8430 32.4324i 0.751619 1.16954i −0.228964 0.973435i \(-0.573534\pi\)
0.980583 0.196107i \(-0.0628299\pi\)
\(770\) 0.0431344 0.122556i 0.00155445 0.00441660i
\(771\) −23.1491 3.12554i −0.833694 0.112564i
\(772\) 7.44973 11.5920i 0.268122 0.417206i
\(773\) −1.20110 + 1.04076i −0.0432005 + 0.0374334i −0.676193 0.736724i \(-0.736372\pi\)
0.632993 +