Properties

Label 403.2.bs.a.4.15
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.15
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.117135 + 0.551075i) q^{2} +(1.94238 + 2.15723i) q^{3} +(1.53713 + 0.684373i) q^{4} -0.526119i q^{5} +(-1.41631 + 0.817710i) q^{6} +(0.000659214 - 0.00148062i) q^{7} +(-1.21949 + 1.67849i) q^{8} +(-0.567221 + 5.39675i) q^{9} +O(q^{10})\) \(q+(-0.117135 + 0.551075i) q^{2} +(1.94238 + 2.15723i) q^{3} +(1.53713 + 0.684373i) q^{4} -0.526119i q^{5} +(-1.41631 + 0.817710i) q^{6} +(0.000659214 - 0.00148062i) q^{7} +(-1.21949 + 1.67849i) q^{8} +(-0.567221 + 5.39675i) q^{9} +(0.289931 + 0.0616267i) q^{10} +(-4.57631 + 0.480989i) q^{11} +(1.50933 + 4.64525i) q^{12} +(-2.33508 - 2.74726i) q^{13} +(0.000738715 + 0.000536708i) q^{14} +(1.13496 - 1.02192i) q^{15} +(1.46963 + 1.63218i) q^{16} +(0.708584 - 6.74172i) q^{17} +(-2.90757 - 0.944727i) q^{18} +(4.55789 + 4.10394i) q^{19} +(0.360062 - 0.808712i) q^{20} +(0.00447448 - 0.00145385i) q^{21} +(0.270983 - 2.57823i) q^{22} +(5.24119 - 2.33353i) q^{23} +(-5.98960 + 0.629532i) q^{24} +4.72320 q^{25} +(1.78746 - 0.965003i) q^{26} +(-5.69845 + 4.14017i) q^{27} +(0.00202659 - 0.00182475i) q^{28} +(0.908907 + 0.193194i) q^{29} +(0.430213 + 0.745150i) q^{30} +(-1.79726 - 5.26971i) q^{31} +(-4.66513 + 2.69341i) q^{32} +(-9.92652 - 8.93788i) q^{33} +(3.63219 + 1.18017i) q^{34} +(-0.000778982 - 0.000346825i) q^{35} +(-4.56528 + 7.90730i) q^{36} +(1.81185 + 1.04607i) q^{37} +(-2.79546 + 2.03102i) q^{38} +(1.39086 - 10.3735i) q^{39} +(0.883084 + 0.641598i) q^{40} +(1.48744 - 6.99787i) q^{41} +(0.000277062 + 0.00263607i) q^{42} +(-7.41867 + 8.23926i) q^{43} +(-7.36354 - 2.39256i) q^{44} +(2.83933 + 0.298426i) q^{45} +(0.672024 + 3.16162i) q^{46} +(-4.40118 - 1.43003i) q^{47} +(-0.666428 + 6.34064i) q^{48} +(4.68391 + 5.20201i) q^{49} +(-0.553250 + 2.60284i) q^{50} +(15.9198 - 11.5664i) q^{51} +(-1.70916 - 5.82095i) q^{52} +(0.804774 + 0.584703i) q^{53} +(-1.61406 - 3.62523i) q^{54} +(0.253057 + 2.40768i) q^{55} +(0.00168129 + 0.00291209i) q^{56} +17.8038i q^{57} +(-0.212929 + 0.478246i) q^{58} +(1.65278 + 7.77572i) q^{59} +(2.44395 - 0.794089i) q^{60} +(-5.48297 - 9.49677i) q^{61} +(3.11453 - 0.373160i) q^{62} +(0.00761661 + 0.00439745i) q^{63} +(0.419577 + 1.29133i) q^{64} +(-1.44538 + 1.22853i) q^{65} +(6.08818 - 4.42332i) q^{66} +(10.3215 + 5.95911i) q^{67} +(5.70304 - 9.87796i) q^{68} +(15.2143 + 6.77386i) q^{69} +(0.000282372 - 0.000388652i) q^{70} +(-10.6483 - 1.11918i) q^{71} +(-8.36665 - 7.53337i) q^{72} +(-2.48397 - 3.41889i) q^{73} +(-0.788696 + 0.875936i) q^{74} +(9.17424 + 10.1890i) q^{75} +(4.19743 + 9.42758i) q^{76} +(-0.00230460 + 0.00709284i) q^{77} +(5.55366 + 1.98157i) q^{78} +(-11.7604 - 8.54441i) q^{79} +(0.858723 - 0.773198i) q^{80} +(-4.07615 - 0.866413i) q^{81} +(3.68212 + 1.63938i) q^{82} +(0.341215 - 0.110868i) q^{83} +(0.00787282 + 0.000827467i) q^{84} +(-3.54695 - 0.372799i) q^{85} +(-3.67147 - 5.05334i) q^{86} +(1.34868 + 2.33598i) q^{87} +(4.77343 - 8.26783i) q^{88} +(-2.96255 + 0.311377i) q^{89} +(-0.497039 + 1.52973i) q^{90} +(-0.00560696 + 0.00164633i) q^{91} +9.65338 q^{92} +(7.87702 - 14.1129i) q^{93} +(1.30358 - 2.25787i) q^{94} +(2.15916 - 2.39799i) q^{95} +(-14.8718 - 4.83213i) q^{96} +(4.76282 - 10.6975i) q^{97} +(-3.41535 + 1.97185i) q^{98} -24.9700i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.117135 + 0.551075i −0.0828266 + 0.389669i −0.999960 0.00891107i \(-0.997163\pi\)
0.917134 + 0.398580i \(0.130497\pi\)
\(3\) 1.94238 + 2.15723i 1.12143 + 1.24548i 0.966254 + 0.257591i \(0.0829287\pi\)
0.155179 + 0.987886i \(0.450405\pi\)
\(4\) 1.53713 + 0.684373i 0.768564 + 0.342187i
\(5\) 0.526119i 0.235288i −0.993056 0.117644i \(-0.962466\pi\)
0.993056 0.117644i \(-0.0375341\pi\)
\(6\) −1.41631 + 0.817710i −0.578208 + 0.333829i
\(7\) 0.000659214 0.00148062i 0.000249160 0.000559622i −0.913421 0.407016i \(-0.866569\pi\)
0.913670 + 0.406457i \(0.133236\pi\)
\(8\) −1.21949 + 1.67849i −0.431156 + 0.593435i
\(9\) −0.567221 + 5.39675i −0.189074 + 1.79892i
\(10\) 0.289931 + 0.0616267i 0.0916842 + 0.0194881i
\(11\) −4.57631 + 0.480989i −1.37981 + 0.145024i −0.765192 0.643802i \(-0.777356\pi\)
−0.614616 + 0.788826i \(0.710689\pi\)
\(12\) 1.50933 + 4.64525i 0.435707 + 1.34097i
\(13\) −2.33508 2.74726i −0.647633 0.761952i
\(14\) 0.000738715 0 0.000536708i 0.000197430 0 0.000143441i
\(15\) 1.13496 1.02192i 0.293045 0.263859i
\(16\) 1.46963 + 1.63218i 0.367406 + 0.408046i
\(17\) 0.708584 6.74172i 0.171857 1.63511i −0.480357 0.877073i \(-0.659493\pi\)
0.652214 0.758035i \(-0.273840\pi\)
\(18\) −2.90757 0.944727i −0.685321 0.222674i
\(19\) 4.55789 + 4.10394i 1.04565 + 0.941508i 0.998353 0.0573724i \(-0.0182722\pi\)
0.0472982 + 0.998881i \(0.484939\pi\)
\(20\) 0.360062 0.808712i 0.0805123 0.180834i
\(21\) 0.00447448 0.00145385i 0.000976412 0.000317255i
\(22\) 0.270983 2.57823i 0.0577737 0.549680i
\(23\) 5.24119 2.33353i 1.09286 0.486574i 0.220478 0.975392i \(-0.429238\pi\)
0.872386 + 0.488818i \(0.162572\pi\)
\(24\) −5.98960 + 0.629532i −1.22262 + 0.128503i
\(25\) 4.72320 0.944640
\(26\) 1.78746 0.965003i 0.350550 0.189253i
\(27\) −5.69845 + 4.14017i −1.09667 + 0.796775i
\(28\) 0.00202659 0.00182475i 0.000382990 0.000344846i
\(29\) 0.908907 + 0.193194i 0.168780 + 0.0358752i 0.291526 0.956563i \(-0.405837\pi\)
−0.122747 + 0.992438i \(0.539170\pi\)
\(30\) 0.430213 + 0.745150i 0.0785457 + 0.136045i
\(31\) −1.79726 5.26971i −0.322798 0.946468i
\(32\) −4.66513 + 2.69341i −0.824686 + 0.476133i
\(33\) −9.92652 8.93788i −1.72799 1.55589i
\(34\) 3.63219 + 1.18017i 0.622916 + 0.202398i
\(35\) −0.000778982 0 0.000346825i −0.000131672 0 5.86241e-5i
\(36\) −4.56528 + 7.90730i −0.760881 + 1.31788i
\(37\) 1.81185 + 1.04607i 0.297867 + 0.171974i 0.641484 0.767136i \(-0.278319\pi\)
−0.343617 + 0.939110i \(0.611652\pi\)
\(38\) −2.79546 + 2.03102i −0.453484 + 0.329476i
\(39\) 1.39086 10.3735i 0.222717 1.66109i
\(40\) 0.883084 + 0.641598i 0.139628 + 0.101446i
\(41\) 1.48744 6.99787i 0.232299 1.09288i −0.695130 0.718884i \(-0.744653\pi\)
0.927429 0.373999i \(-0.122014\pi\)
\(42\) 0.000277062 0.00263607i 4.27516e−5 0.000406754i
\(43\) −7.41867 + 8.23926i −1.13134 + 1.25648i −0.168703 + 0.985667i \(0.553958\pi\)
−0.962633 + 0.270809i \(0.912709\pi\)
\(44\) −7.36354 2.39256i −1.11010 0.360692i
\(45\) 2.83933 + 0.298426i 0.423263 + 0.0444867i
\(46\) 0.672024 + 3.16162i 0.0990845 + 0.466156i
\(47\) −4.40118 1.43003i −0.641978 0.208591i −0.0301044 0.999547i \(-0.509584\pi\)
−0.611874 + 0.790955i \(0.709584\pi\)
\(48\) −0.666428 + 6.34064i −0.0961906 + 0.915193i
\(49\) 4.68391 + 5.20201i 0.669130 + 0.743145i
\(50\) −0.553250 + 2.60284i −0.0782413 + 0.368097i
\(51\) 15.9198 11.5664i 2.22922 1.61962i
\(52\) −1.70916 5.82095i −0.237018 0.807220i
\(53\) 0.804774 + 0.584703i 0.110544 + 0.0803151i 0.641684 0.766969i \(-0.278236\pi\)
−0.531140 + 0.847284i \(0.678236\pi\)
\(54\) −1.61406 3.62523i −0.219645 0.493331i
\(55\) 0.253057 + 2.40768i 0.0341223 + 0.324652i
\(56\) 0.00168129 + 0.00291209i 0.000224672 + 0.000389144i
\(57\) 17.8038i 2.35817i
\(58\) −0.212929 + 0.478246i −0.0279589 + 0.0627968i
\(59\) 1.65278 + 7.77572i 0.215174 + 1.01231i 0.944593 + 0.328245i \(0.106457\pi\)
−0.729419 + 0.684067i \(0.760209\pi\)
\(60\) 2.44395 0.794089i 0.315513 0.102516i
\(61\) −5.48297 9.49677i −0.702022 1.21594i −0.967756 0.251891i \(-0.918948\pi\)
0.265734 0.964046i \(-0.414386\pi\)
\(62\) 3.11453 0.373160i 0.395545 0.0473913i
\(63\) 0.00761661 + 0.00439745i 0.000959603 + 0.000554027i
\(64\) 0.419577 + 1.29133i 0.0524472 + 0.161416i
\(65\) −1.44538 + 1.22853i −0.179278 + 0.152380i
\(66\) 6.08818 4.42332i 0.749403 0.544473i
\(67\) 10.3215 + 5.95911i 1.26097 + 0.728021i 0.973262 0.229697i \(-0.0737734\pi\)
0.287708 + 0.957718i \(0.407107\pi\)
\(68\) 5.70304 9.87796i 0.691595 1.19788i
\(69\) 15.2143 + 6.77386i 1.83159 + 0.815477i
\(70\) 0.000282372 0 0.000388652i 3.37499e−5 0 4.64528e-5i
\(71\) −10.6483 1.11918i −1.26372 0.132823i −0.551141 0.834412i \(-0.685807\pi\)
−0.712581 + 0.701590i \(0.752474\pi\)
\(72\) −8.36665 7.53337i −0.986019 0.887816i
\(73\) −2.48397 3.41889i −0.290726 0.400151i 0.638523 0.769602i \(-0.279546\pi\)
−0.929250 + 0.369452i \(0.879546\pi\)
\(74\) −0.788696 + 0.875936i −0.0916840 + 0.101825i
\(75\) 9.17424 + 10.1890i 1.05935 + 1.17653i
\(76\) 4.19743 + 9.42758i 0.481478 + 1.08142i
\(77\) −0.00230460 + 0.00709284i −0.000262634 + 0.000808304i
\(78\) 5.55366 + 1.98157i 0.628828 + 0.224368i
\(79\) −11.7604 8.54441i −1.32315 0.961322i −0.999887 0.0150108i \(-0.995222\pi\)
−0.323258 0.946311i \(-0.604778\pi\)
\(80\) 0.858723 0.773198i 0.0960082 0.0864462i
\(81\) −4.07615 0.866413i −0.452906 0.0962681i
\(82\) 3.68212 + 1.63938i 0.406622 + 0.181040i
\(83\) 0.341215 0.110868i 0.0374532 0.0121693i −0.290230 0.956957i \(-0.593732\pi\)
0.327684 + 0.944787i \(0.393732\pi\)
\(84\) 0.00787282 0.000827467i 0.000858995 9.02841e-5i
\(85\) −3.54695 0.372799i −0.384721 0.0404358i
\(86\) −3.67147 5.05334i −0.395905 0.544916i
\(87\) 1.34868 + 2.33598i 0.144593 + 0.250443i
\(88\) 4.77343 8.26783i 0.508850 0.881354i
\(89\) −2.96255 + 0.311377i −0.314030 + 0.0330059i −0.260232 0.965546i \(-0.583799\pi\)
−0.0537974 + 0.998552i \(0.517133\pi\)
\(90\) −0.497039 + 1.52973i −0.0523925 + 0.161248i
\(91\) −0.00560696 + 0.00164633i −0.000587769 + 0.000172582i
\(92\) 9.65338 1.00643
\(93\) 7.87702 14.1129i 0.816809 1.46344i
\(94\) 1.30358 2.25787i 0.134454 0.232882i
\(95\) 2.15916 2.39799i 0.221525 0.246029i
\(96\) −14.8718 4.83213i −1.51784 0.493177i
\(97\) 4.76282 10.6975i 0.483591 1.08616i −0.492798 0.870143i \(-0.664026\pi\)
0.976389 0.216019i \(-0.0693073\pi\)
\(98\) −3.41535 + 1.97185i −0.345002 + 0.199187i
\(99\) 24.9700i 2.50958i
\(100\) 7.26016 + 3.23243i 0.726016 + 0.323243i
\(101\) −11.2195 + 4.99523i −1.11638 + 0.497044i −0.880170 0.474658i \(-0.842572\pi\)
−0.236209 + 0.971702i \(0.575905\pi\)
\(102\) 4.50920 + 10.1278i 0.446477 + 1.00280i
\(103\) −1.71830 5.28839i −0.169309 0.521081i 0.830019 0.557736i \(-0.188330\pi\)
−0.999328 + 0.0366549i \(0.988330\pi\)
\(104\) 7.45884 0.569136i 0.731399 0.0558083i
\(105\) −0.000764896 0.00235411i −7.46462e−5 0.000229738i
\(106\) −0.416482 + 0.375002i −0.0404523 + 0.0364234i
\(107\) 5.38994 2.39975i 0.521065 0.231993i −0.129313 0.991604i \(-0.541277\pi\)
0.650378 + 0.759611i \(0.274611\pi\)
\(108\) −11.5927 + 2.46410i −1.11550 + 0.237108i
\(109\) −4.52086 1.46892i −0.433020 0.140697i 0.0843930 0.996433i \(-0.473105\pi\)
−0.517413 + 0.855736i \(0.673105\pi\)
\(110\) −1.35645 0.142569i −0.129333 0.0135934i
\(111\) 1.26268 + 5.94046i 0.119849 + 0.563843i
\(112\) 0.00338544 0.00110000i 0.000319894 0.000103940i
\(113\) −7.10553 3.16359i −0.668432 0.297605i 0.0443240 0.999017i \(-0.485887\pi\)
−0.712756 + 0.701412i \(0.752553\pi\)
\(114\) −9.81124 2.08544i −0.918906 0.195320i
\(115\) −1.22771 2.75749i −0.114485 0.257137i
\(116\) 1.26489 + 0.918996i 0.117442 + 0.0853266i
\(117\) 16.1508 11.0435i 1.49314 1.02097i
\(118\) −4.47860 −0.412289
\(119\) −0.00951482 0.00549338i −0.000872222 0.000503578i
\(120\) 0.331209 + 3.15124i 0.0302351 + 0.287668i
\(121\) 9.95160 2.11528i 0.904691 0.192298i
\(122\) 5.87568 1.90912i 0.531959 0.172844i
\(123\) 17.9852 10.3838i 1.62167 0.936271i
\(124\) 0.843831 9.33022i 0.0757782 0.837878i
\(125\) 5.11556i 0.457549i
\(126\) −0.00331549 + 0.00368223i −0.000295368 + 0.000328039i
\(127\) 13.1742 + 14.6314i 1.16902 + 1.29833i 0.946241 + 0.323462i \(0.104847\pi\)
0.222781 + 0.974868i \(0.428486\pi\)
\(128\) −11.4754 + 1.20611i −1.01429 + 0.106606i
\(129\) −32.1838 −2.83363
\(130\) −0.507706 0.940418i −0.0445288 0.0824801i
\(131\) −13.3238 + 9.68033i −1.16411 + 0.845774i −0.990292 0.139004i \(-0.955610\pi\)
−0.173816 + 0.984778i \(0.555610\pi\)
\(132\) −9.14149 20.5321i −0.795664 1.78709i
\(133\) 0.00908100 0.00404312i 0.000787422 0.000350583i
\(134\) −4.49292 + 4.98989i −0.388129 + 0.431061i
\(135\) 2.17822 + 2.99806i 0.187471 + 0.258032i
\(136\) 10.4518 + 9.41083i 0.896233 + 0.806972i
\(137\) −0.759333 3.57238i −0.0648742 0.305209i 0.933733 0.357970i \(-0.116531\pi\)
−0.998607 + 0.0527612i \(0.983198\pi\)
\(138\) −5.51503 + 7.59078i −0.469470 + 0.646170i
\(139\) −8.08270 + 1.71803i −0.685565 + 0.145721i −0.537510 0.843258i \(-0.680635\pi\)
−0.148056 + 0.988979i \(0.547302\pi\)
\(140\) −0.000960037 0.00106623i −8.11379e−5 9.01128e-5i
\(141\) −5.46386 12.2720i −0.460140 1.03349i
\(142\) 1.86404 5.73692i 0.156427 0.481432i
\(143\) 12.0074 + 11.4491i 1.00411 + 0.957425i
\(144\) −9.64210 + 7.00539i −0.803508 + 0.583783i
\(145\) 0.101643 0.478193i 0.00844100 0.0397118i
\(146\) 2.17502 0.968382i 0.180006 0.0801439i
\(147\) −2.12400 + 20.2086i −0.175185 + 1.66677i
\(148\) 2.06915 + 2.84793i 0.170083 + 0.234099i
\(149\) 7.11681 4.10889i 0.583032 0.336614i −0.179305 0.983793i \(-0.557385\pi\)
0.762337 + 0.647180i \(0.224052\pi\)
\(150\) −6.68954 + 3.86221i −0.546198 + 0.315348i
\(151\) 11.2862 + 15.5341i 0.918456 + 1.26415i 0.964195 + 0.265193i \(0.0854358\pi\)
−0.0457388 + 0.998953i \(0.514564\pi\)
\(152\) −12.4467 + 2.64563i −1.00956 + 0.214589i
\(153\) 35.9815 + 7.64810i 2.90893 + 0.618312i
\(154\) −0.00363874 0.00210083i −0.000293218 0.000169289i
\(155\) −2.77249 + 0.945573i −0.222692 + 0.0759502i
\(156\) 9.23729 14.9935i 0.739575 1.20044i
\(157\) −1.50756 4.63978i −0.120316 0.370295i 0.872703 0.488252i \(-0.162365\pi\)
−0.993019 + 0.117957i \(0.962365\pi\)
\(158\) 6.08616 5.48000i 0.484189 0.435965i
\(159\) 0.301838 + 2.87180i 0.0239373 + 0.227748i
\(160\) 1.41706 + 2.45441i 0.112028 + 0.194038i
\(161\) 0.00929850i 0.000732825i
\(162\) 0.954917 2.14478i 0.0750254 0.168510i
\(163\) −4.31284 0.453298i −0.337808 0.0355050i −0.0658939 0.997827i \(-0.520990\pi\)
−0.271914 + 0.962322i \(0.587657\pi\)
\(164\) 7.07554 9.73865i 0.552507 0.760461i
\(165\) −4.70239 + 5.22253i −0.366080 + 0.406574i
\(166\) 0.0211282 + 0.201022i 0.00163987 + 0.0156023i
\(167\) 1.64357 7.73238i 0.127183 0.598349i −0.867680 0.497123i \(-0.834390\pi\)
0.994863 0.101227i \(-0.0322767\pi\)
\(168\) −0.00301633 + 0.00928331i −0.000232715 + 0.000716223i
\(169\) −2.09484 + 12.8301i −0.161142 + 0.986931i
\(170\) 0.620911 1.91097i 0.0476217 0.146564i
\(171\) −24.7333 + 22.2699i −1.89140 + 1.70302i
\(172\) −17.0422 + 7.58766i −1.29945 + 0.578554i
\(173\) −4.42298 + 0.940133i −0.336273 + 0.0714770i −0.372953 0.927850i \(-0.621655\pi\)
0.0366806 + 0.999327i \(0.488322\pi\)
\(174\) −1.44528 + 0.469598i −0.109566 + 0.0356002i
\(175\) 0.00311360 0.00699326i 0.000235366 0.000528641i
\(176\) −7.51052 6.76250i −0.566127 0.509743i
\(177\) −13.5637 + 18.6688i −1.01951 + 1.40323i
\(178\) 0.175425 1.66906i 0.0131487 0.125101i
\(179\) −2.10240 20.0030i −0.157141 1.49510i −0.734502 0.678607i \(-0.762584\pi\)
0.577361 0.816489i \(-0.304083\pi\)
\(180\) 4.16018 + 2.40188i 0.310082 + 0.179026i
\(181\) −0.0277589 −0.00206330 −0.00103165 0.999999i \(-0.500328\pi\)
−0.00103165 + 0.999999i \(0.500328\pi\)
\(182\) −0.000250481 0.00328270i −1.85669e−5 0.000243330i
\(183\) 9.83673 30.2743i 0.727152 2.23794i
\(184\) −2.47479 + 11.6430i −0.182444 + 0.858332i
\(185\) 0.550359 0.953250i 0.0404632 0.0700844i
\(186\) 6.85458 + 5.99393i 0.502602 + 0.439496i
\(187\) 31.1930i 2.28106i
\(188\) −5.78650 5.21019i −0.422024 0.379992i
\(189\) 0.00237351 + 0.0111665i 0.000172648 + 0.000812243i
\(190\) 1.06856 + 1.47075i 0.0775215 + 0.106699i
\(191\) 0.833493 + 1.44365i 0.0603095 + 0.104459i 0.894604 0.446860i \(-0.147458\pi\)
−0.834294 + 0.551319i \(0.814125\pi\)
\(192\) −1.97071 + 3.41337i −0.142224 + 0.246339i
\(193\) −17.1563 + 1.80320i −1.23494 + 0.129797i −0.699410 0.714721i \(-0.746554\pi\)
−0.535528 + 0.844518i \(0.679887\pi\)
\(194\) 5.33721 + 3.87771i 0.383189 + 0.278403i
\(195\) −5.45770 0.731760i −0.390834 0.0524024i
\(196\) 3.63965 + 11.2017i 0.259975 + 0.800122i
\(197\) 23.2929 2.44818i 1.65955 0.174426i 0.772155 0.635434i \(-0.219179\pi\)
0.887396 + 0.461008i \(0.152512\pi\)
\(198\) 13.7603 + 2.92485i 0.977905 + 0.207860i
\(199\) −1.41629 + 0.301041i −0.100398 + 0.0213402i −0.257837 0.966189i \(-0.583010\pi\)
0.157439 + 0.987529i \(0.449676\pi\)
\(200\) −5.75990 + 7.92783i −0.407287 + 0.560582i
\(201\) 7.19306 + 33.8407i 0.507359 + 2.38694i
\(202\) −1.43856 6.76788i −0.101217 0.476186i
\(203\) 0.000885211 0.00121839i 6.21297e−5 8.55141e-5i
\(204\) 32.3865 6.88396i 2.26751 0.481974i
\(205\) −3.68171 0.782572i −0.257142 0.0546572i
\(206\) 3.11557 0.327460i 0.217072 0.0228152i
\(207\) 9.62055 + 29.6090i 0.668675 + 2.05797i
\(208\) 1.05234 7.84872i 0.0729669 0.544211i
\(209\) −22.8322 16.5886i −1.57934 1.14746i
\(210\) 0.00138689 0.000145768i 9.57042e−5 1.00589e-5i
\(211\) −1.00483 + 1.74041i −0.0691752 + 0.119815i −0.898538 0.438895i \(-0.855370\pi\)
0.829363 + 0.558710i \(0.188703\pi\)
\(212\) 0.836886 + 1.44953i 0.0574776 + 0.0995541i
\(213\) −18.2687 25.1447i −1.25175 1.72289i
\(214\) 0.691096 + 3.25135i 0.0472424 + 0.222258i
\(215\) 4.33483 + 3.90310i 0.295633 + 0.266189i
\(216\) 14.6137i 0.994334i
\(217\) −0.00898722 0.000812809i −0.000610092 5.51771e-5i
\(218\) 1.33903 2.31927i 0.0906907 0.157081i
\(219\) 2.55052 11.9993i 0.172348 0.810835i
\(220\) −1.25877 + 3.87410i −0.0848663 + 0.261192i
\(221\) −20.1758 + 13.7958i −1.35717 + 0.928004i
\(222\) −3.42154 −0.229639
\(223\) 8.33025 + 4.80947i 0.557835 + 0.322066i 0.752276 0.658848i \(-0.228956\pi\)
−0.194441 + 0.980914i \(0.562289\pi\)
\(224\) 0.000912601 0.00868281i 6.09757e−5 0.000580145i
\(225\) −2.67910 + 25.4899i −0.178607 + 1.69933i
\(226\) 2.57568 3.54511i 0.171331 0.235817i
\(227\) 8.05270 + 7.25068i 0.534476 + 0.481245i 0.891607 0.452810i \(-0.149578\pi\)
−0.357131 + 0.934054i \(0.616245\pi\)
\(228\) −12.1845 + 27.3667i −0.806936 + 1.81241i
\(229\) 18.8076 6.11095i 1.24284 0.403823i 0.387490 0.921874i \(-0.373342\pi\)
0.855350 + 0.518051i \(0.173342\pi\)
\(230\) 1.66339 0.353565i 0.109681 0.0233134i
\(231\) −0.0197773 + 0.00880543i −0.00130125 + 0.000579354i
\(232\) −1.43268 + 1.28999i −0.0940599 + 0.0846920i
\(233\) 1.44322 4.44176i 0.0945482 0.290990i −0.892587 0.450874i \(-0.851112\pi\)
0.987136 + 0.159885i \(0.0511123\pi\)
\(234\) 4.19399 + 10.1939i 0.274170 + 0.666393i
\(235\) −0.752366 + 2.31554i −0.0490789 + 0.151049i
\(236\) −2.78096 + 13.0834i −0.181025 + 0.851657i
\(237\) −4.41084 41.9663i −0.286515 2.72601i
\(238\) 0.00414178 0.00459991i 0.000268472 0.000298168i
\(239\) 1.69794 2.33702i 0.109831 0.151169i −0.750563 0.660799i \(-0.770218\pi\)
0.860394 + 0.509630i \(0.170218\pi\)
\(240\) 3.33593 + 0.350621i 0.215333 + 0.0226325i
\(241\) 0.618559 1.38931i 0.0398449 0.0894931i −0.892526 0.450995i \(-0.851069\pi\)
0.932371 + 0.361502i \(0.117736\pi\)
\(242\) 5.73185i 0.368457i
\(243\) 4.51713 + 7.82389i 0.289774 + 0.501903i
\(244\) −1.92868 18.3502i −0.123471 1.17475i
\(245\) 2.73688 2.46429i 0.174853 0.157438i
\(246\) 3.61554 + 11.1275i 0.230518 + 0.709462i
\(247\) 0.631567 22.1047i 0.0401856 1.40649i
\(248\) 11.0369 + 3.40969i 0.700843 + 0.216516i
\(249\) 0.901936 + 0.520733i 0.0571579 + 0.0330001i
\(250\) 2.81906 + 0.599209i 0.178293 + 0.0378973i
\(251\) −20.2612 + 4.30665i −1.27888 + 0.271834i −0.796772 0.604280i \(-0.793461\pi\)
−0.482105 + 0.876114i \(0.660127\pi\)
\(252\) 0.00869821 + 0.0119721i 0.000547936 + 0.000754169i
\(253\) −22.8629 + 13.1999i −1.43738 + 0.829870i
\(254\) −9.60618 + 5.54613i −0.602745 + 0.347995i
\(255\) −6.08530 8.37570i −0.381076 0.524507i
\(256\) 0.395654 3.76439i 0.0247284 0.235275i
\(257\) −6.96622 + 3.10156i −0.434541 + 0.193470i −0.612336 0.790597i \(-0.709770\pi\)
0.177795 + 0.984067i \(0.443103\pi\)
\(258\) 3.76984 17.7357i 0.234700 1.10418i
\(259\) 0.00274324 0.00199308i 0.000170457 0.000123844i
\(260\) −3.06251 + 0.899222i −0.189929 + 0.0557674i
\(261\) −1.55817 + 4.79556i −0.0964484 + 0.296838i
\(262\) −3.77390 8.47633i −0.233153 0.523669i
\(263\) 1.97014 + 2.18806i 0.121484 + 0.134921i 0.800818 0.598907i \(-0.204398\pi\)
−0.679335 + 0.733829i \(0.737732\pi\)
\(264\) 27.1074 5.76186i 1.66835 0.354618i
\(265\) 0.307623 0.423407i 0.0188971 0.0260097i
\(266\) 0.00116436 + 0.00547790i 7.13917e−5 + 0.000335872i
\(267\) −6.42611 5.78609i −0.393271 0.354103i
\(268\) 11.7872 + 16.2237i 0.720017 + 0.991018i
\(269\) −16.2941 + 18.0965i −0.993471 + 1.10336i 0.00117293 + 0.999999i \(0.499627\pi\)
−0.994644 + 0.103362i \(0.967040\pi\)
\(270\) −1.90730 + 0.849185i −0.116075 + 0.0516798i
\(271\) −6.00110 13.4787i −0.364541 0.818772i −0.998952 0.0457763i \(-0.985424\pi\)
0.634411 0.772996i \(-0.281243\pi\)
\(272\) 12.0451 8.75127i 0.730341 0.530624i
\(273\) −0.0144423 0.00889771i −0.000874090 0.000538514i
\(274\) 2.05759 0.124304
\(275\) −21.6148 + 2.27181i −1.30342 + 0.136995i
\(276\) 18.7505 + 20.8246i 1.12865 + 1.25349i
\(277\) −6.95846 + 7.72816i −0.418094 + 0.464340i −0.914994 0.403468i \(-0.867805\pi\)
0.496900 + 0.867808i \(0.334471\pi\)
\(278\) 4.65541i 0.279213i
\(279\) 29.4588 6.71027i 1.76365 0.401734i
\(280\) 0.00153210 0.000884560i 9.15607e−5 5.28626e-5i
\(281\) −29.0460 + 9.43762i −1.73274 + 0.563001i −0.993841 0.110815i \(-0.964654\pi\)
−0.738899 + 0.673816i \(0.764654\pi\)
\(282\) 7.40281 1.57352i 0.440831 0.0937015i
\(283\) −1.85094 17.6105i −0.110027 1.04684i −0.900653 0.434538i \(-0.856912\pi\)
0.790626 0.612299i \(-0.209755\pi\)
\(284\) −15.6019 9.00775i −0.925801 0.534512i
\(285\) 9.36692 0.554849
\(286\) −7.71582 + 5.27590i −0.456246 + 0.311970i
\(287\) −0.00938063 0.00681543i −0.000553721 0.000402302i
\(288\) −11.8895 26.7043i −0.700596 1.57356i
\(289\) −28.3202 6.01965i −1.66590 0.354097i
\(290\) 0.251614 + 0.112026i 0.0147753 + 0.00657839i
\(291\) 32.3281 10.5040i 1.89511 0.615757i
\(292\) −1.47838 6.95523i −0.0865157 0.407024i
\(293\) 9.14946 + 0.961647i 0.534517 + 0.0561800i 0.367942 0.929849i \(-0.380062\pi\)
0.166575 + 0.986029i \(0.446729\pi\)
\(294\) −10.8876 3.53761i −0.634980 0.206317i
\(295\) 4.09095 0.869559i 0.238185 0.0506277i
\(296\) −3.96536 + 1.76549i −0.230482 + 0.102617i
\(297\) 24.0865 21.6876i 1.39764 1.25844i
\(298\) 1.43068 + 4.40319i 0.0828773 + 0.255070i
\(299\) −18.6494 8.94993i −1.07852 0.517588i
\(300\) 7.12888 + 21.9404i 0.411586 + 1.26673i
\(301\) 0.00730872 + 0.0164157i 0.000421268 + 0.000946183i
\(302\) −9.88245 + 4.39995i −0.568671 + 0.253189i
\(303\) −32.5683 14.5003i −1.87100 0.833023i
\(304\) 13.4706i 0.772590i
\(305\) −4.99643 + 2.88469i −0.286095 + 0.165177i
\(306\) −8.42935 + 18.9326i −0.481874 + 1.08231i
\(307\) 18.8670 + 6.13026i 1.07680 + 0.349872i 0.793131 0.609051i \(-0.208450\pi\)
0.283665 + 0.958923i \(0.408450\pi\)
\(308\) −0.00839663 + 0.00932540i −0.000478442 + 0.000531364i
\(309\) 8.07069 13.9788i 0.459125 0.795228i
\(310\) −0.196326 1.63861i −0.0111506 0.0930669i
\(311\) 14.3813 0.815488 0.407744 0.913096i \(-0.366316\pi\)
0.407744 + 0.913096i \(0.366316\pi\)
\(312\) 15.7156 + 14.9850i 0.889723 + 0.848356i
\(313\) −4.26826 + 13.1364i −0.241256 + 0.742510i 0.754973 + 0.655755i \(0.227650\pi\)
−0.996230 + 0.0867550i \(0.972350\pi\)
\(314\) 2.73345 0.287297i 0.154258 0.0162131i
\(315\) 0.00231358 0.00400724i 0.000130356 0.000225783i
\(316\) −12.2296 21.1823i −0.687971 1.19160i
\(317\) 9.26011 + 12.7454i 0.520100 + 0.715856i 0.985581 0.169202i \(-0.0541189\pi\)
−0.465482 + 0.885057i \(0.654119\pi\)
\(318\) −1.61793 0.170051i −0.0907291 0.00953601i
\(319\) −4.25236 0.446941i −0.238086 0.0250239i
\(320\) 0.679391 0.220748i 0.0379791 0.0123402i
\(321\) 15.6461 + 6.96610i 0.873281 + 0.388810i
\(322\) 0.00512417 + 0.00108918i 0.000285559 + 6.06974e-5i
\(323\) 30.8973 27.8200i 1.71917 1.54795i
\(324\) −5.67262 4.12140i −0.315146 0.228967i
\(325\) −11.0290 12.9758i −0.611780 0.719770i
\(326\) 0.754983 2.32360i 0.0418147 0.128692i
\(327\) −5.61243 12.6057i −0.310368 0.697098i
\(328\) 9.93190 + 11.0305i 0.548398 + 0.609057i
\(329\) −0.00501865 + 0.00557378i −0.000276687 + 0.000307292i
\(330\) −2.32719 3.20311i −0.128108 0.176325i
\(331\) −15.7876 14.2152i −0.867763 0.781338i 0.109362 0.994002i \(-0.465119\pi\)
−0.977125 + 0.212664i \(0.931786\pi\)
\(332\) 0.600366 + 0.0631010i 0.0329494 + 0.00346312i
\(333\) −6.67312 + 9.18477i −0.365685 + 0.503322i
\(334\) 4.06860 + 1.81146i 0.222624 + 0.0991185i
\(335\) 3.13520 5.43033i 0.171294 0.296691i
\(336\) 0.00894876 + 0.00516657i 0.000488195 + 0.000281859i
\(337\) 10.9114 7.92762i 0.594383 0.431845i −0.249498 0.968375i \(-0.580265\pi\)
0.843881 + 0.536531i \(0.180265\pi\)
\(338\) −6.82497 2.65726i −0.371229 0.144536i
\(339\) −6.97705 21.4731i −0.378941 1.16626i
\(340\) −5.19698 3.00048i −0.281846 0.162724i
\(341\) 10.7595 + 23.2513i 0.582659 + 1.25913i
\(342\) −9.37528 16.2385i −0.506957 0.878075i
\(343\) 0.0215798 0.00701170i 0.00116520 0.000378596i
\(344\) −4.78249 22.4998i −0.257855 1.21311i
\(345\) 3.56385 8.00455i 0.191871 0.430950i
\(346\) 2.54751i 0.136955i
\(347\) 0.130991 + 0.226884i 0.00703198 + 0.0121798i 0.869520 0.493898i \(-0.164428\pi\)
−0.862488 + 0.506078i \(0.831095\pi\)
\(348\) 0.474408 + 4.51369i 0.0254310 + 0.241959i
\(349\) 5.29016 + 11.8819i 0.283176 + 0.636023i 0.997995 0.0632857i \(-0.0201579\pi\)
−0.714820 + 0.699309i \(0.753491\pi\)
\(350\) 0.00348910 + 0.00253498i 0.000186500 + 0.000135500i
\(351\) 24.6804 + 5.98751i 1.31734 + 0.319589i
\(352\) 20.0535 14.5698i 1.06886 0.776571i
\(353\) −5.57787 + 26.2418i −0.296880 + 1.39671i 0.536449 + 0.843933i \(0.319765\pi\)
−0.833329 + 0.552777i \(0.813568\pi\)
\(354\) −8.69914 9.66137i −0.462354 0.513496i
\(355\) −0.588823 + 5.60228i −0.0312515 + 0.297338i
\(356\) −4.76692 1.54887i −0.252646 0.0820897i
\(357\) −0.00663089 0.0311959i −0.000350944 0.00165106i
\(358\) 11.2694 + 1.18446i 0.595608 + 0.0626009i
\(359\) 13.1877 + 4.28494i 0.696019 + 0.226150i 0.635595 0.772023i \(-0.280755\pi\)
0.0604239 + 0.998173i \(0.480755\pi\)
\(360\) −3.96345 + 4.40185i −0.208892 + 0.231998i
\(361\) 1.94597 + 18.5147i 0.102420 + 0.974457i
\(362\) 0.00325153 0.0152972i 0.000170897 0.000804005i
\(363\) 23.8929 + 17.3592i 1.25405 + 0.911123i
\(364\) −0.00974531 0.00130664i −0.000510793 6.84864e-5i
\(365\) −1.79874 + 1.30686i −0.0941505 + 0.0684043i
\(366\) 15.5312 + 8.96695i 0.811829 + 0.468710i
\(367\) 4.27101 7.39760i 0.222945 0.386152i −0.732756 0.680491i \(-0.761766\pi\)
0.955701 + 0.294340i \(0.0950997\pi\)
\(368\) 11.5113 + 5.12518i 0.600070 + 0.267168i
\(369\) 36.9220 + 11.9967i 1.92208 + 0.624523i
\(370\) 0.460846 + 0.414948i 0.0239583 + 0.0215721i
\(371\) 0.00139624 0.000806120i 7.24892e−5 4.18517e-5i
\(372\) 21.7665 16.3025i 1.12854 0.845244i
\(373\) −1.62788 2.81956i −0.0842882 0.145991i 0.820799 0.571216i \(-0.193528\pi\)
−0.905088 + 0.425225i \(0.860195\pi\)
\(374\) −17.1897 3.65378i −0.888857 0.188932i
\(375\) 11.0354 9.93635i 0.569868 0.513111i
\(376\) 7.76749 5.64341i 0.400578 0.291037i
\(377\) −1.59161 2.94812i −0.0819722 0.151836i
\(378\) −0.00643159 −0.000330805
\(379\) 6.34927 0.667335i 0.326140 0.0342787i 0.0599563 0.998201i \(-0.480904\pi\)
0.266184 + 0.963922i \(0.414237\pi\)
\(380\) 4.96003 2.20835i 0.254444 0.113286i
\(381\) −5.97408 + 56.8396i −0.306062 + 2.91198i
\(382\) −0.893192 + 0.290216i −0.0456997 + 0.0148487i
\(383\) 0.460634 1.03460i 0.0235373 0.0528656i −0.901394 0.432999i \(-0.857455\pi\)
0.924932 + 0.380134i \(0.124122\pi\)
\(384\) −24.8914 22.4123i −1.27024 1.14372i
\(385\) 0.00373168 + 0.00121250i 0.000190184 + 6.17945e-5i
\(386\) 1.01590 9.66562i 0.0517078 0.491967i
\(387\) −40.2572 44.7102i −2.04639 2.27275i
\(388\) 14.6421 13.1838i 0.743341 0.669307i
\(389\) 9.77276 + 7.10032i 0.495498 + 0.360001i 0.807295 0.590148i \(-0.200931\pi\)
−0.311797 + 0.950149i \(0.600931\pi\)
\(390\) 1.04254 2.92189i 0.0527911 0.147955i
\(391\) −12.0182 36.9882i −0.607785 1.87057i
\(392\) −14.4435 + 1.51807i −0.729507 + 0.0766743i
\(393\) −46.7626 9.93970i −2.35886 0.501391i
\(394\) −1.37927 + 13.1229i −0.0694867 + 0.661122i
\(395\) −4.49538 + 6.18736i −0.226187 + 0.311320i
\(396\) 17.0888 38.3821i 0.858745 1.92877i
\(397\) −11.6933 + 6.75113i −0.586870 + 0.338829i −0.763859 0.645384i \(-0.776698\pi\)
0.176989 + 0.984213i \(0.443364\pi\)
\(398\) 0.815742i 0.0408895i
\(399\) 0.0263607 + 0.0117365i 0.00131968 + 0.000587561i
\(400\) 6.94134 + 7.70913i 0.347067 + 0.385457i
\(401\) −1.87481 + 8.82031i −0.0936237 + 0.440465i 0.906220 + 0.422806i \(0.138955\pi\)
−0.999844 + 0.0176593i \(0.994379\pi\)
\(402\) −19.4913 −0.972138
\(403\) −10.2805 + 17.2427i −0.512109 + 0.858921i
\(404\) −20.6644 −1.02809
\(405\) −0.455836 + 2.14454i −0.0226507 + 0.106563i
\(406\) 0.000567735 0 0.000630533i 2.81762e−5 0 3.12928e-5i
\(407\) −8.79475 3.91567i −0.435939 0.194093i
\(408\) 40.8263i 2.02120i
\(409\) 13.4473 7.76383i 0.664928 0.383897i −0.129224 0.991615i \(-0.541249\pi\)
0.794152 + 0.607719i \(0.207915\pi\)
\(410\) 0.862511 1.93723i 0.0425964 0.0956730i
\(411\) 6.23153 8.57697i 0.307379 0.423071i
\(412\) 0.977984 9.30490i 0.0481818 0.458420i
\(413\) 0.0126024 + 0.00267873i 0.000620125 + 0.000131812i
\(414\) −17.4437 + 1.83341i −0.857310 + 0.0901069i
\(415\) −0.0583295 0.179520i −0.00286328 0.00881228i
\(416\) 18.2929 + 6.52698i 0.896884 + 0.320012i
\(417\) −19.4058 14.0992i −0.950308 0.690439i
\(418\) 11.8160 10.6392i 0.577939 0.520379i
\(419\) 4.91741 + 5.46134i 0.240231 + 0.266804i 0.851189 0.524859i \(-0.175882\pi\)
−0.610958 + 0.791663i \(0.709215\pi\)
\(420\) 0.000435346 0.00414204i 2.12427e−5 0.000202111i
\(421\) −33.7884 10.9785i −1.64675 0.535061i −0.668716 0.743518i \(-0.733156\pi\)
−0.978031 + 0.208457i \(0.933156\pi\)
\(422\) −0.841398 0.757598i −0.0409586 0.0368793i
\(423\) 10.2140 22.9409i 0.496620 1.11543i
\(424\) −1.96283 + 0.637763i −0.0953235 + 0.0309725i
\(425\) 3.34678 31.8425i 0.162343 1.54459i
\(426\) 15.9965 7.12212i 0.775035 0.345068i
\(427\) −0.0176756 + 0.00185778i −0.000855380 + 8.99041e-5i
\(428\) 9.92735 0.479857
\(429\) −1.37547 + 48.1413i −0.0664086 + 2.32429i
\(430\) −2.65866 + 1.93163i −0.128212 + 0.0931514i
\(431\) 4.35200 3.91856i 0.209628 0.188750i −0.557628 0.830091i \(-0.688288\pi\)
0.767256 + 0.641341i \(0.221622\pi\)
\(432\) −15.1321 3.21643i −0.728044 0.154750i
\(433\) 0.508158 + 0.880156i 0.0244205 + 0.0422976i 0.877977 0.478702i \(-0.158893\pi\)
−0.853557 + 0.521000i \(0.825559\pi\)
\(434\) 0.00150063 0.00485742i 7.20327e−5 0.000233164i
\(435\) 1.22900 0.709565i 0.0589261 0.0340210i
\(436\) −5.94385 5.35187i −0.284659 0.256308i
\(437\) 33.4654 + 10.8736i 1.60087 + 0.520153i
\(438\) 6.31374 + 2.81106i 0.301682 + 0.134318i
\(439\) 12.0140 20.8088i 0.573396 0.993151i −0.422818 0.906215i \(-0.638959\pi\)
0.996214 0.0869361i \(-0.0277076\pi\)
\(440\) −4.34986 2.51139i −0.207372 0.119726i
\(441\) −30.7308 + 22.3272i −1.46337 + 1.06320i
\(442\) −5.23921 12.7344i −0.249204 0.605712i
\(443\) 10.2849 + 7.47241i 0.488650 + 0.355025i 0.804665 0.593729i \(-0.202345\pi\)
−0.316015 + 0.948754i \(0.602345\pi\)
\(444\) −2.12459 + 9.99539i −0.100828 + 0.474360i
\(445\) 0.163821 + 1.55865i 0.00776587 + 0.0738873i
\(446\) −3.62614 + 4.02724i −0.171703 + 0.190695i
\(447\) 22.6874 + 7.37158i 1.07308 + 0.348664i
\(448\) 0.00218855 0.000230026i 0.000103399 1.08677e-5i
\(449\) 7.62993 + 35.8960i 0.360079 + 1.69404i 0.669255 + 0.743033i \(0.266613\pi\)
−0.309176 + 0.951005i \(0.600053\pi\)
\(450\) −13.7330 4.46213i −0.647382 0.210347i
\(451\) −3.44109 + 32.7398i −0.162035 + 1.54166i
\(452\) −8.75703 9.72567i −0.411896 0.457457i
\(453\) −11.5886 + 54.5200i −0.544479 + 2.56157i
\(454\) −4.93892 + 3.58833i −0.231795 + 0.168409i
\(455\) 0.000866164 0.00294993i 4.06064e−5 0.000138295i
\(456\) −29.8835 21.7116i −1.39942 1.01674i
\(457\) −0.907768 2.03888i −0.0424636 0.0953748i 0.891068 0.453870i \(-0.149957\pi\)
−0.933532 + 0.358495i \(0.883290\pi\)
\(458\) 1.16457 + 11.0802i 0.0544170 + 0.517743i
\(459\) 23.8740 + 41.3510i 1.11434 + 1.93010i
\(460\) 5.07883i 0.236802i
\(461\) 1.22336 2.74771i 0.0569775 0.127973i −0.882813 0.469724i \(-0.844353\pi\)
0.939791 + 0.341751i \(0.111020\pi\)
\(462\) −0.00253584 0.0119302i −0.000117978 0.000555043i
\(463\) 12.4044 4.03043i 0.576481 0.187310i −0.00624246 0.999981i \(-0.501987\pi\)
0.582724 + 0.812670i \(0.301987\pi\)
\(464\) 1.02042 + 1.76743i 0.0473720 + 0.0820507i
\(465\) −7.42505 4.14425i −0.344329 0.192185i
\(466\) 2.27869 + 1.31560i 0.105558 + 0.0609442i
\(467\) −2.98641 9.19121i −0.138194 0.425318i 0.857879 0.513852i \(-0.171782\pi\)
−0.996073 + 0.0885335i \(0.971782\pi\)
\(468\) 32.3837 5.92214i 1.49694 0.273751i
\(469\) 0.0156272 0.0113539i 0.000721599 0.000524273i
\(470\) −1.18791 0.685840i −0.0547942 0.0316355i
\(471\) 7.08083 12.2643i 0.326267 0.565111i
\(472\) −15.0670 6.70826i −0.693515 0.308773i
\(473\) 29.9871 41.2737i 1.37881 1.89777i
\(474\) 23.6432 + 2.48501i 1.08597 + 0.114140i
\(475\) 21.5278 + 19.3837i 0.987764 + 0.889386i
\(476\) −0.0108660 0.0149557i −0.000498041 0.000685494i
\(477\) −3.61198 + 4.01151i −0.165381 + 0.183674i
\(478\) 1.08898 + 1.20944i 0.0498090 + 0.0553185i
\(479\) −12.5388 28.1625i −0.572911 1.28678i −0.935004 0.354637i \(-0.884605\pi\)
0.362094 0.932142i \(-0.382062\pi\)
\(480\) −2.54227 + 7.82431i −0.116038 + 0.357129i
\(481\) −1.35698 7.42029i −0.0618730 0.338336i
\(482\) 0.693157 + 0.503608i 0.0315724 + 0.0229387i
\(483\) 0.0200590 0.0180612i 0.000912717 0.000821814i
\(484\) 16.7445 + 3.55916i 0.761115 + 0.161780i
\(485\) −5.62814 2.50581i −0.255560 0.113783i
\(486\) −4.84066 + 1.57283i −0.219577 + 0.0713448i
\(487\) −38.8443 4.08270i −1.76020 0.185005i −0.831423 0.555640i \(-0.812473\pi\)
−0.928779 + 0.370635i \(0.879140\pi\)
\(488\) 22.6266 + 2.37816i 1.02426 + 0.107654i
\(489\) −7.39930 10.1843i −0.334608 0.460548i
\(490\) 1.03743 + 1.79688i 0.0468662 + 0.0811747i
\(491\) −2.20676 + 3.82222i −0.0995896 + 0.172494i −0.911515 0.411267i \(-0.865086\pi\)
0.811925 + 0.583761i \(0.198420\pi\)
\(492\) 34.7519 3.65257i 1.56674 0.164671i
\(493\) 1.94650 5.99070i 0.0876659 0.269808i
\(494\) 12.1074 + 2.93726i 0.544736 + 0.132154i
\(495\) −13.1372 −0.590473
\(496\) 5.95984 10.6780i 0.267605 0.479455i
\(497\) −0.00867661 + 0.0150283i −0.000389199 + 0.000674112i
\(498\) −0.392611 + 0.436038i −0.0175933 + 0.0195393i
\(499\) 13.3484 + 4.33715i 0.597556 + 0.194158i 0.592150 0.805828i \(-0.298279\pi\)
0.00540574 + 0.999985i \(0.498279\pi\)
\(500\) 3.50095 7.86327i 0.156567 0.351656i
\(501\) 19.8729 11.4736i 0.887858 0.512605i
\(502\) 11.6699i 0.520853i
\(503\) 24.7774 + 11.0316i 1.10477 + 0.491875i 0.876344 0.481686i \(-0.159976\pi\)
0.228426 + 0.973561i \(0.426642\pi\)
\(504\) −0.0166695 + 0.00742172i −0.000742517 + 0.000330590i
\(505\) 2.62808 + 5.90277i 0.116948 + 0.262670i
\(506\) −4.59610 14.1453i −0.204321 0.628836i
\(507\) −31.7465 + 20.4019i −1.40991 + 0.906079i
\(508\) 10.2371 + 31.5065i 0.454197 + 1.39787i
\(509\) 8.99221 8.09662i 0.398573 0.358876i −0.445336 0.895364i \(-0.646916\pi\)
0.843908 + 0.536487i \(0.180249\pi\)
\(510\) 5.32844 2.37237i 0.235947 0.105050i
\(511\) −0.00669954 + 0.00142403i −0.000296370 + 6.29954e-5i
\(512\) −19.9196 6.47227i −0.880331 0.286037i
\(513\) −42.9639 4.51569i −1.89690 0.199372i
\(514\) −0.893207 4.20221i −0.0393977 0.185352i
\(515\) −2.78232 + 0.904032i −0.122604 + 0.0398364i
\(516\) −49.4707 22.0258i −2.17783 0.969630i
\(517\) 20.8290 + 4.42734i 0.916058 + 0.194714i
\(518\) 0.000777008 0.00174519i 3.41398e−5 7.66791e-5i
\(519\) −10.6192 7.71529i −0.466130 0.338664i
\(520\) −0.299433 3.92424i −0.0131310 0.172089i
\(521\) −5.99917 −0.262828 −0.131414 0.991328i \(-0.541952\pi\)
−0.131414 + 0.991328i \(0.541952\pi\)
\(522\) −2.46020 1.42039i −0.107680 0.0621690i
\(523\) 0.144087 + 1.37089i 0.00630048 + 0.0599450i 0.997220 0.0745085i \(-0.0237388\pi\)
−0.990920 + 0.134453i \(0.957072\pi\)
\(524\) −27.1054 + 5.76143i −1.18410 + 0.251689i
\(525\) 0.0211339 0.00686681i 0.000922357 0.000299692i
\(526\) −1.43655 + 0.829395i −0.0626367 + 0.0361633i
\(527\) −36.8004 + 8.38260i −1.60305 + 0.365152i
\(528\) 29.3373i 1.27674i
\(529\) 6.63472 7.36860i 0.288466 0.320374i
\(530\) 0.197296 + 0.219119i 0.00856997 + 0.00951792i
\(531\) −42.9011 + 4.50909i −1.86175 + 0.195678i
\(532\) 0.0167257 0.000725149
\(533\) −22.6982 + 12.2542i −0.983169 + 0.530787i
\(534\) 3.94129 2.86351i 0.170556 0.123916i
\(535\) −1.26256 2.83575i −0.0545851 0.122600i
\(536\) −22.5893 + 10.0574i −0.975707 + 0.434413i
\(537\) 39.0675 43.3888i 1.68589 1.87237i
\(538\) −8.06390 11.0990i −0.347660 0.478512i
\(539\) −23.9371 21.5531i −1.03105 0.928357i
\(540\) 1.29641 + 6.09912i 0.0557885 + 0.262464i
\(541\) −9.53176 + 13.1193i −0.409803 + 0.564045i −0.963170 0.268892i \(-0.913342\pi\)
0.553368 + 0.832937i \(0.313342\pi\)
\(542\) 8.13071 1.72823i 0.349244 0.0742340i
\(543\) −0.0539183 0.0598824i −0.00231386 0.00256980i
\(544\) 14.8526 + 33.3595i 0.636800 + 1.43028i
\(545\) −0.772825 + 2.37851i −0.0331042 + 0.101884i
\(546\) 0.00659500 0.00691658i 0.000282240 0.000296002i
\(547\) −3.74207 + 2.71877i −0.159999 + 0.116246i −0.664904 0.746929i \(-0.731528\pi\)
0.504905 + 0.863175i \(0.331528\pi\)
\(548\) 1.27765 6.01087i 0.0545785 0.256772i
\(549\) 54.3618 24.2034i 2.32010 1.03298i
\(550\) 1.27990 12.1775i 0.0545753 0.519250i
\(551\) 3.34984 + 4.61066i 0.142708 + 0.196421i
\(552\) −29.9236 + 17.2764i −1.27363 + 0.735332i
\(553\) −0.0204036 + 0.0117800i −0.000867651 + 0.000500938i
\(554\) −3.44372 4.73987i −0.146310 0.201378i
\(555\) 3.12539 0.664322i 0.132665 0.0281989i
\(556\) −13.5999 2.89075i −0.576765 0.122595i
\(557\) 4.11560 + 2.37614i 0.174383 + 0.100680i 0.584651 0.811285i \(-0.301231\pi\)
−0.410268 + 0.911965i \(0.634565\pi\)
\(558\) 0.247225 + 17.0200i 0.0104659 + 0.720513i
\(559\) 39.9585 + 1.14168i 1.69007 + 0.0482879i
\(560\) −0.000578729 0.00178115i −2.44558e−5 7.52671e-5i
\(561\) −67.2905 + 60.5886i −2.84101 + 2.55805i
\(562\) −1.79854 17.1120i −0.0758670 0.721826i
\(563\) 21.6427 + 37.4862i 0.912130 + 1.57986i 0.811049 + 0.584978i \(0.198897\pi\)
0.101081 + 0.994878i \(0.467770\pi\)
\(564\) 22.6030i 0.951757i
\(565\) −1.66442 + 3.73835i −0.0700228 + 0.157274i
\(566\) 9.92153 + 1.04279i 0.417033 + 0.0438319i
\(567\) −0.00396989 + 0.00546408i −0.000166720 + 0.000229470i
\(568\) 14.8641 16.5082i 0.623682 0.692669i
\(569\) −1.68682 16.0491i −0.0707153 0.672811i −0.971256 0.238039i \(-0.923495\pi\)
0.900540 0.434772i \(-0.143171\pi\)
\(570\) −1.09719 + 5.16188i −0.0459563 + 0.216207i
\(571\) −5.15455 + 15.8641i −0.215711 + 0.663890i 0.783391 + 0.621529i \(0.213488\pi\)
−0.999102 + 0.0423616i \(0.986512\pi\)
\(572\) 10.6215 + 25.8164i 0.444105 + 1.07944i
\(573\) −1.49533 + 4.60216i −0.0624684 + 0.192258i
\(574\) 0.00485461 0.00437111i 0.000202627 0.000182447i
\(575\) 24.7552 11.0217i 1.03236 0.459637i
\(576\) −7.20696 + 1.53189i −0.300290 + 0.0638286i
\(577\) 0.692267 0.224931i 0.0288195 0.00936401i −0.294572 0.955629i \(-0.595177\pi\)
0.323391 + 0.946265i \(0.395177\pi\)
\(578\) 6.63456 14.9015i 0.275961 0.619819i
\(579\) −37.2140 33.5076i −1.54656 1.39253i
\(580\) 0.483501 0.665482i 0.0200763 0.0276326i
\(581\) 6.07813e−5 0 0.000578295i 2.52163e−6 0 2.39917e-5i
\(582\) 2.00177 + 19.0456i 0.0829760 + 0.789464i
\(583\) −3.96413 2.28869i −0.164177 0.0947879i
\(584\) 8.76774 0.362812
\(585\) −5.81020 8.49722i −0.240222 0.351317i
\(586\) −1.60166 + 4.92940i −0.0661639 + 0.203631i
\(587\) −1.30700 + 6.14897i −0.0539459 + 0.253795i −0.996854 0.0792570i \(-0.974745\pi\)
0.942908 + 0.333052i \(0.108079\pi\)
\(588\) −17.0951 + 29.6095i −0.704989 + 1.22108i
\(589\) 13.4349 31.3946i 0.553574 1.29359i
\(590\) 2.35628i 0.0970064i
\(591\) 50.5249 + 45.4929i 2.07832 + 1.87133i
\(592\) 0.955361 + 4.49462i 0.0392651 + 0.184728i
\(593\) 8.43498 + 11.6098i 0.346383 + 0.476755i 0.946292 0.323313i \(-0.104797\pi\)
−0.599909 + 0.800068i \(0.704797\pi\)
\(594\) 9.13011 + 15.8138i 0.374613 + 0.648849i
\(595\) −0.00289017 + 0.00500593i −0.000118486 + 0.000205223i
\(596\) 13.7515 1.44534i 0.563282 0.0592033i
\(597\) −3.40038 2.47052i −0.139168 0.101112i
\(598\) 7.11657 9.22886i 0.291018 0.377396i
\(599\) 13.7688 + 42.3759i 0.562576 + 1.73143i 0.675046 + 0.737776i \(0.264124\pi\)
−0.112470 + 0.993655i \(0.535876\pi\)
\(600\) −28.2901 + 2.97341i −1.15494 + 0.121389i
\(601\) 21.1514 + 4.49586i 0.862782 + 0.183390i 0.617990 0.786186i \(-0.287947\pi\)
0.244792 + 0.969576i \(0.421280\pi\)
\(602\) −0.00990236 + 0.00210481i −0.000403590 + 8.57857e-5i
\(603\) −38.0144 + 52.3223i −1.54807 + 2.13073i
\(604\) 6.71718 + 31.6019i 0.273318 + 1.28586i
\(605\) −1.11289 5.23573i −0.0452453 0.212863i
\(606\) 11.8057 16.2491i 0.479572 0.660074i
\(607\) −26.5145 + 5.63584i −1.07619 + 0.228752i −0.711720 0.702463i \(-0.752084\pi\)
−0.364471 + 0.931215i \(0.618750\pi\)
\(608\) −32.3167 6.86913i −1.31062 0.278580i
\(609\) 0.00434776 0.000456968i 0.000176180 1.85173e-5i
\(610\) −1.00443 3.09131i −0.0406680 0.125163i
\(611\) 6.34843 + 15.4304i 0.256830 + 0.624247i
\(612\) 50.0740 + 36.3809i 2.02412 + 1.47061i
\(613\) −30.7264 + 3.22948i −1.24103 + 0.130437i −0.702201 0.711979i \(-0.747799\pi\)
−0.538827 + 0.842416i \(0.681132\pi\)
\(614\) −5.58821 + 9.67906i −0.225522 + 0.390615i
\(615\) −5.46309 9.46235i −0.220293 0.381559i
\(616\) −0.00909480 0.0125179i −0.000366440 0.000504361i
\(617\) 5.43893 + 25.5881i 0.218963 + 1.03014i 0.941032 + 0.338318i \(0.109858\pi\)
−0.722069 + 0.691821i \(0.756809\pi\)
\(618\) 6.75803 + 6.08496i 0.271848 + 0.244773i
\(619\) 2.46212i 0.0989608i 0.998775 + 0.0494804i \(0.0157565\pi\)
−0.998775 + 0.0494804i \(0.984243\pi\)
\(620\) −4.90880 0.443955i −0.197142 0.0178297i
\(621\) −20.2055 + 34.9969i −0.810817 + 1.40438i
\(622\) −1.68455 + 7.92516i −0.0675441 + 0.317770i
\(623\) −0.00149193 + 0.00459167i −5.97727e−5 + 0.000183962i
\(624\) 18.9755 12.9750i 0.759629 0.519417i
\(625\) 20.9246 0.836984
\(626\) −6.73915 3.89085i −0.269351 0.155510i
\(627\) −8.56344 81.4757i −0.341991 3.25383i
\(628\) 0.858036 8.16366i 0.0342393 0.325766i
\(629\) 8.33619 11.4738i 0.332386 0.457490i
\(630\) 0.00193729 + 0.00174434i 7.71835e−5 + 6.94963e-5i
\(631\) 3.06839 6.89173i 0.122151 0.274355i −0.842112 0.539303i \(-0.818688\pi\)
0.964263 + 0.264947i \(0.0853546\pi\)
\(632\) 28.6834 9.31979i 1.14096 0.370721i
\(633\) −5.70623 + 1.21290i −0.226802 + 0.0482083i
\(634\) −8.10838 + 3.61008i −0.322025 + 0.143375i
\(635\) 7.69788 6.93120i 0.305481 0.275056i
\(636\) −1.50142 + 4.62089i −0.0595351 + 0.183230i
\(637\) 3.35397 25.0150i 0.132889 0.991131i
\(638\) 0.744396 2.29102i 0.0294709 0.0907022i
\(639\) 12.0799 56.8315i 0.477873 2.24822i
\(640\) 0.634559 + 6.03742i 0.0250831 + 0.238650i
\(641\) −12.0955 + 13.4334i −0.477743 + 0.530588i −0.933050 0.359747i \(-0.882863\pi\)
0.455307 + 0.890335i \(0.349530\pi\)
\(642\) −5.67155 + 7.80621i −0.223838 + 0.308087i
\(643\) 20.9144 + 2.19819i 0.824783 + 0.0866882i 0.507510 0.861646i \(-0.330566\pi\)
0.317273 + 0.948334i \(0.397233\pi\)
\(644\) 0.00636365 0.0142930i 0.000250763 0.000563223i
\(645\) 16.9325i 0.666718i
\(646\) 11.7118 + 20.2854i 0.460794 + 0.798118i
\(647\) 2.36706 + 22.5211i 0.0930587 + 0.885395i 0.937087 + 0.349096i \(0.113511\pi\)
−0.844028 + 0.536299i \(0.819822\pi\)
\(648\) 6.42510 5.78519i 0.252402 0.227264i
\(649\) −11.3037 34.7891i −0.443708 1.36559i
\(650\) 8.44254 4.55790i 0.331144 0.178776i
\(651\) −0.0157032 0.0209663i −0.000615455 0.000821733i
\(652\) −6.31916 3.64837i −0.247477 0.142881i
\(653\) 1.26607 + 0.269111i 0.0495451 + 0.0105311i 0.232618 0.972568i \(-0.425271\pi\)
−0.183072 + 0.983099i \(0.558604\pi\)
\(654\) 7.60411 1.61630i 0.297344 0.0632025i
\(655\) 5.09300 + 7.00992i 0.199000 + 0.273900i
\(656\) 13.6078 7.85646i 0.531295 0.306743i
\(657\) 19.8598 11.4661i 0.774806 0.447335i
\(658\) −0.00248371 0.00341854i −9.68251e−5 0.000133268i
\(659\) −0.255840 + 2.43415i −0.00996609 + 0.0948210i −0.998374 0.0569991i \(-0.981847\pi\)
0.988408 + 0.151820i \(0.0485135\pi\)
\(660\) −10.8023 + 4.80951i −0.420480 + 0.187210i
\(661\) 0.591206 2.78140i 0.0229952 0.108184i −0.965153 0.261686i \(-0.915722\pi\)
0.988148 + 0.153502i \(0.0490550\pi\)
\(662\) 9.68290 7.03504i 0.376337 0.273425i
\(663\) −68.9498 16.7273i −2.67779 0.649635i
\(664\) −0.230019 + 0.707927i −0.00892649 + 0.0274729i
\(665\) −0.00212716 0.00477768i −8.24878e−5 0.000185271i
\(666\) −4.27984 4.75324i −0.165840 0.184184i
\(667\) 5.21458 1.10839i 0.201909 0.0429171i
\(668\) 7.81821 10.7608i 0.302495 0.416349i
\(669\) 5.80536 + 27.3121i 0.224448 + 1.05595i
\(670\) 2.62528 + 2.36381i 0.101423 + 0.0913219i
\(671\) 29.6596 + 40.8229i 1.14500 + 1.57595i
\(672\) −0.0169582 + 0.0188340i −0.000654177 + 0.000726537i
\(673\) 20.8749 9.29409i 0.804667 0.358261i 0.0371665 0.999309i \(-0.488167\pi\)
0.767501 + 0.641048i \(0.221500\pi\)
\(674\) 3.09060 + 6.94161i 0.119046 + 0.267381i
\(675\) −26.9149 + 19.5548i −1.03596 + 0.752666i
\(676\) −12.0006 + 18.2879i −0.461563 + 0.703379i
\(677\) 26.1999 1.00694 0.503471 0.864012i \(-0.332056\pi\)
0.503471 + 0.864012i \(0.332056\pi\)
\(678\) 12.6506 1.32963i 0.485842 0.0510640i
\(679\) −0.0126992 0.0141038i −0.000487349 0.000541256i
\(680\) 4.95121 5.49888i 0.189870 0.210872i
\(681\) 31.4551i 1.20536i
\(682\) −14.0735 + 3.20575i −0.538904 + 0.122754i
\(683\) 23.9729 13.8408i 0.917299 0.529603i 0.0345268 0.999404i \(-0.489008\pi\)
0.882772 + 0.469801i \(0.155674\pi\)
\(684\) −53.2592 + 17.3049i −2.03641 + 0.661671i
\(685\) −1.87950 + 0.399499i −0.0718119 + 0.0152641i
\(686\) 0.00133623 + 0.0127134i 5.10176e−5 + 0.000485400i
\(687\) 49.7142 + 28.7025i 1.89671 + 1.09507i
\(688\) −24.3507 −0.928360
\(689\) −0.272880 3.57625i −0.0103959 0.136244i
\(690\) 3.99365 + 2.90156i 0.152036 + 0.110460i
\(691\) 2.38068 + 5.34709i 0.0905653 + 0.203413i 0.953149 0.302502i \(-0.0978218\pi\)
−0.862584 + 0.505915i \(0.831155\pi\)
\(692\) −7.44209 1.58186i −0.282906 0.0601335i
\(693\) −0.0369711 0.0164606i −0.00140442 0.000625286i
\(694\) −0.140374 + 0.0456101i −0.00532851 + 0.00173134i
\(695\) 0.903888 + 4.25246i 0.0342864 + 0.161305i
\(696\) −5.56561 0.584969i −0.210964 0.0221732i
\(697\) −46.1237 14.9865i −1.74706 0.567654i
\(698\) −7.16747 + 1.52349i −0.271293 + 0.0576651i
\(699\) 12.3852 5.51424i 0.468450 0.208568i
\(700\) 0.00957200 0.00861867i 0.000361788 0.000325755i
\(701\) 5.33336 + 16.4144i 0.201438 + 0.619963i 0.999841 + 0.0178391i \(0.00567866\pi\)
−0.798403 + 0.602124i \(0.794321\pi\)
\(702\) −6.19049 + 12.8994i −0.233645 + 0.486857i
\(703\) 3.96520 + 12.2036i 0.149550 + 0.460269i
\(704\) −2.54123 5.70769i −0.0957761 0.215117i
\(705\) −6.45654 + 2.87464i −0.243167 + 0.108265i
\(706\) −13.8078 6.14764i −0.519665 0.231370i
\(707\) 0.0199047i 0.000748593i
\(708\) −33.6256 + 19.4137i −1.26373 + 0.729613i
\(709\) −2.06262 + 4.63272i −0.0774634 + 0.173986i −0.948126 0.317896i \(-0.897024\pi\)
0.870662 + 0.491881i \(0.163691\pi\)
\(710\) −3.01830 0.980706i −0.113275 0.0368053i
\(711\) 52.7828 58.6212i 1.97951 2.19847i
\(712\) 3.09017 5.35232i 0.115809 0.200587i
\(713\) −21.7168 23.4256i −0.813301 0.877296i
\(714\) 0.0179680 0.000672434
\(715\) 6.02361 6.31733i 0.225270 0.236255i
\(716\) 10.4579 32.1860i 0.390829 1.20285i
\(717\) 8.33953 0.876520i 0.311446 0.0327342i
\(718\) −3.90605 + 6.76548i −0.145773 + 0.252486i
\(719\) 23.9147 + 41.4214i 0.891866 + 1.54476i 0.837636 + 0.546229i \(0.183937\pi\)
0.0542301 + 0.998528i \(0.482730\pi\)
\(720\) 3.68567 + 5.07289i 0.137357 + 0.189055i
\(721\) −0.00896283 0.000942031i −0.000333793 3.50831e-5i
\(722\) −10.4309 1.09633i −0.388198 0.0408013i
\(723\) 4.19853 1.36418i 0.156145 0.0507346i
\(724\) −0.0426690 0.0189975i −0.00158578 0.000706035i
\(725\) 4.29295 + 0.912494i 0.159436 + 0.0338892i
\(726\) −12.3649 + 11.1334i −0.458905 + 0.413200i
\(727\) 20.2347 + 14.7014i 0.750463 + 0.545243i 0.895970 0.444114i \(-0.146481\pi\)
−0.145507 + 0.989357i \(0.546481\pi\)
\(728\) 0.00407430 0.0114189i 0.000151004 0.000423212i
\(729\) −11.9672 + 36.8312i −0.443229 + 1.36412i
\(730\) −0.509484 1.14432i −0.0188569 0.0423532i
\(731\) 50.2901 + 55.8528i 1.86005 + 2.06579i
\(732\) 35.8393 39.8035i 1.32466 1.47118i
\(733\) −12.6394 17.3966i −0.466845 0.642557i 0.509065 0.860728i \(-0.329991\pi\)
−0.975911 + 0.218170i \(0.929991\pi\)
\(734\) 3.57635 + 3.22016i 0.132005 + 0.118858i
\(735\) 10.6321 + 1.11748i 0.392171 + 0.0412188i
\(736\) −18.1657 + 25.0029i −0.669595 + 0.921619i
\(737\) −50.1005 22.3062i −1.84548 0.821659i
\(738\) −10.9359 + 18.9416i −0.402557 + 0.697249i
\(739\) −23.7235 13.6968i −0.872682 0.503843i −0.00444350 0.999990i \(-0.501414\pi\)
−0.868239 + 0.496147i \(0.834748\pi\)
\(740\) 1.49835 1.08862i 0.0550805 0.0400183i
\(741\) 48.9117 41.5733i 1.79681 1.52723i
\(742\) 0.000280684 0 0.000863858i 1.03042e−5 0 3.17132e-5i
\(743\) 30.7883 + 17.7756i 1.12951 + 0.652125i 0.943813 0.330481i \(-0.107211\pi\)
0.185701 + 0.982606i \(0.440544\pi\)
\(744\) 14.0823 + 30.4320i 0.516283 + 1.11569i
\(745\) −2.16177 3.74429i −0.0792010 0.137180i
\(746\) 1.74447 0.566813i 0.0638696 0.0207525i
\(747\) 0.404780 + 1.90434i 0.0148101 + 0.0696761i
\(748\) −21.3477 + 47.9476i −0.780548 + 1.75314i
\(749\) 0.00956240i 0.000349402i
\(750\) 4.18304 + 7.24524i 0.152743 + 0.264559i
\(751\) −4.41407 41.9971i −0.161072 1.53250i −0.714521 0.699614i \(-0.753355\pi\)
0.553449 0.832883i \(-0.313311\pi\)
\(752\) −4.13402 9.28515i −0.150752 0.338595i
\(753\) −48.6454 35.3429i −1.77274 1.28797i
\(754\) 1.81107 0.531770i 0.0659553