Properties

Label 731.2.z.a.67.12
Level 731
Weight 2
Character 731.67
Analytic conductor 5.837
Analytic rank 0
Dimension 768
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{42})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 67.12
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29543 + 1.62442i) q^{2} +(0.00546009 + 0.0362253i) q^{3} +(-0.515560 - 2.25882i) q^{4} +(2.06352 + 3.02662i) q^{5} +(-0.0659185 - 0.0380581i) q^{6} +(-0.0270939 + 0.0156427i) q^{7} +(0.593233 + 0.285686i) q^{8} +(2.86544 - 0.883870i) q^{9} +O(q^{10})\) \(q+(-1.29543 + 1.62442i) q^{2} +(0.00546009 + 0.0362253i) q^{3} +(-0.515560 - 2.25882i) q^{4} +(2.06352 + 3.02662i) q^{5} +(-0.0659185 - 0.0380581i) q^{6} +(-0.0270939 + 0.0156427i) q^{7} +(0.593233 + 0.285686i) q^{8} +(2.86544 - 0.883870i) q^{9} +(-7.58967 - 0.568767i) q^{10} +(4.28552 + 0.978143i) q^{11} +(0.0790114 - 0.0310097i) q^{12} +(0.221445 + 2.95498i) q^{13} +(0.00968804 - 0.0642760i) q^{14} +(-0.0983734 + 0.0912772i) q^{15} +(2.94235 - 1.41696i) q^{16} +(-2.21398 - 3.47826i) q^{17} +(-2.27621 + 5.79968i) q^{18} +(5.97788 + 1.84393i) q^{19} +(5.77271 - 6.22151i) q^{20} +(-0.000714595 - 0.000896074i) q^{21} +(-7.14054 + 5.69439i) q^{22} +(0.363581 - 0.391848i) q^{23} +(-0.00710996 + 0.0230499i) q^{24} +(-3.07564 + 7.83659i) q^{25} +(-5.08700 - 3.46826i) q^{26} +(0.0953494 + 0.197995i) q^{27} +(0.0493024 + 0.0531353i) q^{28} +(1.13199 - 7.51026i) q^{29} +(-0.0208365 - 0.278044i) q^{30} +(5.67094 - 2.22568i) q^{31} +(-1.80291 + 7.89906i) q^{32} +(-0.0120342 + 0.160585i) q^{33} +(8.51824 + 0.909418i) q^{34} +(-0.103253 - 0.0497240i) q^{35} +(-3.47380 - 6.01680i) q^{36} +(7.89017 + 4.55539i) q^{37} +(-10.7393 + 7.32192i) q^{38} +(-0.105836 + 0.0241564i) q^{39} +(0.359482 + 2.38501i) q^{40} +(-7.05382 - 5.62523i) q^{41} +0.00238132 q^{42} +(-5.80735 + 3.04543i) q^{43} -10.1845i q^{44} +(8.58801 + 6.84871i) q^{45} +(0.165531 + 1.09822i) q^{46} +(-0.136544 - 0.598237i) q^{47} +(0.0673954 + 0.0988509i) q^{48} +(-3.49951 + 6.06133i) q^{49} +(-8.74566 - 15.1479i) q^{50} +(0.113913 - 0.0991938i) q^{51} +(6.56058 - 2.02367i) q^{52} +(0.356757 - 4.76060i) q^{53} +(-0.445147 - 0.101602i) q^{54} +(5.88278 + 14.9891i) q^{55} +(-0.0205419 + 0.00153940i) q^{56} +(-0.0341573 + 0.226619i) q^{57} +(10.7334 + 11.5679i) q^{58} +(-7.81273 + 3.76241i) q^{59} +(0.256896 + 0.175149i) q^{60} +(-11.0875 - 4.35154i) q^{61} +(-3.73089 + 12.0952i) q^{62} +(-0.0638097 + 0.0687705i) q^{63} +(-6.42354 - 8.05486i) q^{64} +(-8.48664 + 6.76787i) q^{65} +(-0.245269 - 0.227576i) q^{66} +(-4.34015 - 1.33876i) q^{67} +(-6.71531 + 6.79422i) q^{68} +(0.0161800 + 0.0110313i) q^{69} +(0.214530 - 0.103312i) q^{70} +(-1.36017 - 1.46592i) q^{71} +(1.95238 + 0.294274i) q^{72} +(-3.94643 + 0.295744i) q^{73} +(-17.6211 + 6.91577i) q^{74} +(-0.300676 - 0.0686274i) q^{75} +(1.08315 - 14.4536i) q^{76} +(-0.131412 + 0.0405353i) q^{77} +(0.0978634 - 0.203215i) q^{78} +(-5.16949 + 2.98461i) q^{79} +(10.3602 + 5.98146i) q^{80} +(7.42617 - 5.06308i) q^{81} +(18.2755 - 4.17127i) q^{82} +(1.88004 - 0.283370i) q^{83} +(-0.00165565 + 0.00207612i) q^{84} +(5.95880 - 13.8783i) q^{85} +(2.57598 - 13.3788i) q^{86} +0.278243 q^{87} +(2.26287 + 1.80458i) q^{88} +(-4.37783 + 0.659851i) q^{89} +(-22.2504 + 5.07851i) q^{90} +(-0.0522235 - 0.0765977i) q^{91} +(-1.07256 - 0.619242i) q^{92} +(0.111590 + 0.193279i) q^{93} +(1.14867 + 0.553172i) q^{94} +(6.75456 + 21.8978i) q^{95} +(-0.295990 - 0.0221814i) q^{96} +(-1.78880 - 0.408283i) q^{97} +(-5.31278 - 13.5367i) q^{98} +(13.1444 - 0.985040i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} + O(q^{10}) \) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} - 18q^{13} - 30q^{15} - 160q^{16} - 16q^{17} - 54q^{18} - 68q^{19} - 50q^{21} - 88q^{25} - 26q^{26} - 50q^{32} - 36q^{33} - 38q^{34} + 14q^{35} + 328q^{36} - 44q^{38} - 148q^{42} + 102q^{43} - 64q^{47} + 298q^{49} + 40q^{50} - 31q^{51} - 38q^{52} - 28q^{53} - 80q^{55} - 16q^{59} - 34q^{60} - 64q^{64} - 126q^{66} + 74q^{67} - 132q^{68} - 28q^{69} + 50q^{70} + 26q^{72} - 258q^{76} - 112q^{77} + 90q^{81} + 48q^{83} - 298q^{84} + 36q^{85} + 142q^{86} + 192q^{87} - 120q^{89} - 188q^{93} + 64q^{94} + 146q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29543 + 1.62442i −0.916011 + 1.14864i 0.0724814 + 0.997370i \(0.476908\pi\)
−0.988492 + 0.151271i \(0.951663\pi\)
\(3\) 0.00546009 + 0.0362253i 0.00315239 + 0.0209147i 0.990352 0.138577i \(-0.0442527\pi\)
−0.987199 + 0.159491i \(0.949015\pi\)
\(4\) −0.515560 2.25882i −0.257780 1.12941i
\(5\) 2.06352 + 3.02662i 0.922832 + 1.35355i 0.935387 + 0.353625i \(0.115051\pi\)
−0.0125551 + 0.999921i \(0.503997\pi\)
\(6\) −0.0659185 0.0380581i −0.0269111 0.0155371i
\(7\) −0.0270939 + 0.0156427i −0.0102405 + 0.00591237i −0.505112 0.863054i \(-0.668549\pi\)
0.494871 + 0.868966i \(0.335215\pi\)
\(8\) 0.593233 + 0.285686i 0.209740 + 0.101005i
\(9\) 2.86544 0.883870i 0.955145 0.294623i
\(10\) −7.58967 0.568767i −2.40006 0.179860i
\(11\) 4.28552 + 0.978143i 1.29213 + 0.294921i 0.812713 0.582664i \(-0.197990\pi\)
0.479421 + 0.877585i \(0.340847\pi\)
\(12\) 0.0790114 0.0310097i 0.0228086 0.00895172i
\(13\) 0.221445 + 2.95498i 0.0614178 + 0.819563i 0.939826 + 0.341653i \(0.110987\pi\)
−0.878409 + 0.477910i \(0.841394\pi\)
\(14\) 0.00968804 0.0642760i 0.00258924 0.0171785i
\(15\) −0.0983734 + 0.0912772i −0.0253999 + 0.0235677i
\(16\) 2.94235 1.41696i 0.735587 0.354240i
\(17\) −2.21398 3.47826i −0.536969 0.843602i
\(18\) −2.27621 + 5.79968i −0.536507 + 1.36700i
\(19\) 5.97788 + 1.84393i 1.37142 + 0.423027i 0.890996 0.454010i \(-0.150007\pi\)
0.480423 + 0.877037i \(0.340483\pi\)
\(20\) 5.77271 6.22151i 1.29082 1.39117i
\(21\) −0.000714595 0 0.000896074i −0.000155937 0 0.000195539i
\(22\) −7.14054 + 5.69439i −1.52237 + 1.21405i
\(23\) 0.363581 0.391848i 0.0758120 0.0817059i −0.694007 0.719969i \(-0.744156\pi\)
0.769819 + 0.638263i \(0.220347\pi\)
\(24\) −0.00710996 + 0.0230499i −0.00145132 + 0.00470505i
\(25\) −3.07564 + 7.83659i −0.615127 + 1.56732i
\(26\) −5.08700 3.46826i −0.997643 0.680182i
\(27\) 0.0953494 + 0.197995i 0.0183500 + 0.0381042i
\(28\) 0.0493024 + 0.0531353i 0.00931727 + 0.0100416i
\(29\) 1.13199 7.51026i 0.210205 1.39462i −0.596000 0.802984i \(-0.703244\pi\)
0.806205 0.591636i \(-0.201518\pi\)
\(30\) −0.0208365 0.278044i −0.00380421 0.0507636i
\(31\) 5.67094 2.22568i 1.01853 0.399744i 0.203447 0.979086i \(-0.434786\pi\)
0.815085 + 0.579342i \(0.196690\pi\)
\(32\) −1.80291 + 7.89906i −0.318712 + 1.39637i
\(33\) −0.0120342 + 0.160585i −0.00209489 + 0.0279543i
\(34\) 8.51824 + 0.909418i 1.46087 + 0.155964i
\(35\) −0.103253 0.0497240i −0.0174529 0.00840489i
\(36\) −3.47380 6.01680i −0.578967 1.00280i
\(37\) 7.89017 + 4.55539i 1.29714 + 0.748902i 0.979908 0.199448i \(-0.0639149\pi\)
0.317227 + 0.948350i \(0.397248\pi\)
\(38\) −10.7393 + 7.32192i −1.74214 + 1.18777i
\(39\) −0.105836 + 0.0241564i −0.0169473 + 0.00386811i
\(40\) 0.359482 + 2.38501i 0.0568391 + 0.377103i
\(41\) −7.05382 5.62523i −1.10162 0.878514i −0.108326 0.994115i \(-0.534549\pi\)
−0.993296 + 0.115601i \(0.963120\pi\)
\(42\) 0.00238132 0.000367445
\(43\) −5.80735 + 3.04543i −0.885613 + 0.464423i
\(44\) 10.1845i 1.53537i
\(45\) 8.58801 + 6.84871i 1.28023 + 1.02095i
\(46\) 0.165531 + 1.09822i 0.0244061 + 0.161924i
\(47\) −0.136544 0.598237i −0.0199169 0.0872618i 0.963993 0.265929i \(-0.0856786\pi\)
−0.983910 + 0.178667i \(0.942822\pi\)
\(48\) 0.0673954 + 0.0988509i 0.00972768 + 0.0142679i
\(49\) −3.49951 + 6.06133i −0.499930 + 0.865904i
\(50\) −8.74566 15.1479i −1.23682 2.14224i
\(51\) 0.113913 0.0991938i 0.0159510 0.0138899i
\(52\) 6.56058 2.02367i 0.909789 0.280633i
\(53\) 0.356757 4.76060i 0.0490044 0.653918i −0.917577 0.397558i \(-0.869858\pi\)
0.966581 0.256360i \(-0.0825232\pi\)
\(54\) −0.445147 0.101602i −0.0605768 0.0138263i
\(55\) 5.88278 + 14.9891i 0.793233 + 2.02113i
\(56\) −0.0205419 + 0.00153940i −0.00274502 + 0.000205711i
\(57\) −0.0341573 + 0.226619i −0.00452424 + 0.0300164i
\(58\) 10.7334 + 11.5679i 1.40937 + 1.51894i
\(59\) −7.81273 + 3.76241i −1.01713 + 0.489825i −0.866718 0.498799i \(-0.833775\pi\)
−0.150413 + 0.988623i \(0.548060\pi\)
\(60\) 0.256896 + 0.175149i 0.0331651 + 0.0226116i
\(61\) −11.0875 4.35154i −1.41961 0.557158i −0.473443 0.880824i \(-0.656989\pi\)
−0.946171 + 0.323667i \(0.895084\pi\)
\(62\) −3.73089 + 12.0952i −0.473823 + 1.53610i
\(63\) −0.0638097 + 0.0687705i −0.00803926 + 0.00866426i
\(64\) −6.42354 8.05486i −0.802942 1.00686i
\(65\) −8.48664 + 6.76787i −1.05264 + 0.839451i
\(66\) −0.245269 0.227576i −0.0301905 0.0280127i
\(67\) −4.34015 1.33876i −0.530234 0.163556i 0.0180666 0.999837i \(-0.494249\pi\)
−0.548301 + 0.836281i \(0.684725\pi\)
\(68\) −6.71531 + 6.79422i −0.814351 + 0.823921i
\(69\) 0.0161800 + 0.0110313i 0.00194784 + 0.00132802i
\(70\) 0.214530 0.103312i 0.0256413 0.0123482i
\(71\) −1.36017 1.46592i −0.161423 0.173973i 0.647161 0.762353i \(-0.275956\pi\)
−0.808584 + 0.588381i \(0.799766\pi\)
\(72\) 1.95238 + 0.294274i 0.230090 + 0.0346805i
\(73\) −3.94643 + 0.295744i −0.461895 + 0.0346142i −0.303646 0.952785i \(-0.598204\pi\)
−0.158249 + 0.987399i \(0.550585\pi\)
\(74\) −17.6211 + 6.91577i −2.04841 + 0.803942i
\(75\) −0.300676 0.0686274i −0.0347191 0.00792441i
\(76\) 1.08315 14.4536i 0.124245 1.65794i
\(77\) −0.131412 + 0.0405353i −0.0149758 + 0.00461942i
\(78\) 0.0978634 0.203215i 0.0110808 0.0230096i
\(79\) −5.16949 + 2.98461i −0.581614 + 0.335795i −0.761774 0.647842i \(-0.775672\pi\)
0.180161 + 0.983637i \(0.442338\pi\)
\(80\) 10.3602 + 5.98146i 1.15830 + 0.668747i
\(81\) 7.42617 5.06308i 0.825130 0.562564i
\(82\) 18.2755 4.17127i 2.01819 0.460640i
\(83\) 1.88004 0.283370i 0.206361 0.0311039i −0.0450481 0.998985i \(-0.514344\pi\)
0.251409 + 0.967881i \(0.419106\pi\)
\(84\) −0.00165565 + 0.00207612i −0.000180646 + 0.000226523i
\(85\) 5.95880 13.8783i 0.646322 1.50532i
\(86\) 2.57598 13.3788i 0.277776 1.44267i
\(87\) 0.278243 0.0298307
\(88\) 2.26287 + 1.80458i 0.241223 + 0.192369i
\(89\) −4.37783 + 0.659851i −0.464049 + 0.0699441i −0.376906 0.926252i \(-0.623012\pi\)
−0.0871433 + 0.996196i \(0.527774\pi\)
\(90\) −22.2504 + 5.07851i −2.34540 + 0.535322i
\(91\) −0.0522235 0.0765977i −0.00547451 0.00802963i
\(92\) −1.07256 0.619242i −0.111822 0.0645605i
\(93\) 0.111590 + 0.193279i 0.0115713 + 0.0200421i
\(94\) 1.14867 + 0.553172i 0.118477 + 0.0570554i
\(95\) 6.75456 + 21.8978i 0.693003 + 2.24666i
\(96\) −0.295990 0.0221814i −0.0302094 0.00226388i
\(97\) −1.78880 0.408283i −0.181625 0.0414548i 0.130741 0.991417i \(-0.458264\pi\)
−0.312366 + 0.949962i \(0.601122\pi\)
\(98\) −5.31278 13.5367i −0.536672 1.36742i
\(99\) 13.1444 0.985040i 1.32107 0.0990002i
\(100\) 19.2871 + 2.90706i 1.92871 + 0.290706i
\(101\) −5.21693 + 4.84061i −0.519104 + 0.481658i −0.895662 0.444735i \(-0.853298\pi\)
0.376558 + 0.926393i \(0.377108\pi\)
\(102\) 0.0135664 + 0.313541i 0.00134327 + 0.0310452i
\(103\) −15.6477 10.6684i −1.54181 1.05119i −0.973587 0.228317i \(-0.926678\pi\)
−0.568226 0.822873i \(-0.692370\pi\)
\(104\) −0.712827 + 1.81625i −0.0698984 + 0.178098i
\(105\) 0.00123750 0.00401187i 0.000120768 0.000391519i
\(106\) 7.27107 + 6.74657i 0.706229 + 0.655284i
\(107\) −4.62489 + 3.68823i −0.447105 + 0.356554i −0.821011 0.570912i \(-0.806590\pi\)
0.373906 + 0.927467i \(0.378018\pi\)
\(108\) 0.398076 0.317455i 0.0383049 0.0305471i
\(109\) 11.2157 12.0876i 1.07427 1.15779i 0.0874137 0.996172i \(-0.472140\pi\)
0.986854 0.161613i \(-0.0516697\pi\)
\(110\) −31.9694 9.86124i −3.04816 0.940232i
\(111\) −0.121940 + 0.310697i −0.0115740 + 0.0294900i
\(112\) −0.0575546 + 0.0844171i −0.00543840 + 0.00797666i
\(113\) −4.76641 9.89755i −0.448386 0.931083i −0.995566 0.0940680i \(-0.970013\pi\)
0.547180 0.837015i \(-0.315701\pi\)
\(114\) −0.323876 0.349056i −0.0303338 0.0326921i
\(115\) 1.93623 + 0.291840i 0.180554 + 0.0272142i
\(116\) −17.5479 + 1.31503i −1.62928 + 0.122098i
\(117\) 3.24635 + 8.27157i 0.300125 + 0.764707i
\(118\) 4.00913 17.5652i 0.369071 1.61700i
\(119\) 0.114394 + 0.0596070i 0.0104865 + 0.00546416i
\(120\) −0.0844350 + 0.0260447i −0.00770782 + 0.00237755i
\(121\) 7.49829 + 3.61099i 0.681663 + 0.328271i
\(122\) 21.4319 12.3737i 1.94036 1.12027i
\(123\) 0.165262 0.286241i 0.0149011 0.0258095i
\(124\) −7.95111 11.6621i −0.714031 1.04729i
\(125\) −12.2086 + 2.78653i −1.09197 + 0.249235i
\(126\) −0.0290511 0.192742i −0.00258808 0.0171708i
\(127\) −11.9819 + 15.0248i −1.06322 + 1.33324i −0.123101 + 0.992394i \(0.539284\pi\)
−0.940120 + 0.340843i \(0.889287\pi\)
\(128\) 5.20139 0.459742
\(129\) −0.142030 0.193745i −0.0125051 0.0170583i
\(130\) 22.5532i 1.97805i
\(131\) 1.36507 + 1.08860i 0.119266 + 0.0951118i 0.681307 0.731998i \(-0.261412\pi\)
−0.562040 + 0.827110i \(0.689983\pi\)
\(132\) 0.368937 0.0556083i 0.0321118 0.00484008i
\(133\) −0.190808 + 0.0435506i −0.0165451 + 0.00377632i
\(134\) 7.79710 5.31597i 0.673567 0.459230i
\(135\) −0.402501 + 0.697152i −0.0346418 + 0.0600013i
\(136\) −0.319716 2.69592i −0.0274154 0.231173i
\(137\) 7.32827 + 3.52911i 0.626096 + 0.301512i 0.719899 0.694079i \(-0.244188\pi\)
−0.0938028 + 0.995591i \(0.529902\pi\)
\(138\) −0.0388797 + 0.0119928i −0.00330966 + 0.00102089i
\(139\) 14.4775 + 1.08494i 1.22797 + 0.0920233i 0.672868 0.739762i \(-0.265062\pi\)
0.555097 + 0.831786i \(0.312681\pi\)
\(140\) −0.0590843 + 0.258865i −0.00499353 + 0.0218781i
\(141\) 0.0209258 0.00821277i 0.00176227 0.000691640i
\(142\) 4.14329 0.310497i 0.347697 0.0260563i
\(143\) −1.94138 + 12.8802i −0.162346 + 1.07710i
\(144\) 7.17870 6.66086i 0.598225 0.555072i
\(145\) 25.0666 12.0714i 2.08167 1.00248i
\(146\) 4.63193 6.79379i 0.383341 0.562258i
\(147\) −0.238681 0.0936755i −0.0196861 0.00772623i
\(148\) 6.22193 20.1710i 0.511440 1.65805i
\(149\) −10.1538 9.42136i −0.831833 0.771828i 0.144178 0.989552i \(-0.453946\pi\)
−0.976010 + 0.217724i \(0.930137\pi\)
\(150\) 0.500987 0.399524i 0.0409054 0.0326210i
\(151\) 9.78191 + 12.2661i 0.796041 + 0.998203i 0.999816 + 0.0191857i \(0.00610736\pi\)
−0.203775 + 0.979018i \(0.565321\pi\)
\(152\) 3.01949 + 2.80168i 0.244913 + 0.227246i
\(153\) −9.41835 8.00986i −0.761428 0.647559i
\(154\) 0.104389 0.265980i 0.00841194 0.0214333i
\(155\) 18.4384 + 12.5711i 1.48101 + 1.00973i
\(156\) 0.109130 + 0.226610i 0.00873735 + 0.0181433i
\(157\) 12.8925 11.9625i 1.02894 0.954714i 0.0299430 0.999552i \(-0.490467\pi\)
0.998994 + 0.0448373i \(0.0142769\pi\)
\(158\) 1.84847 12.2638i 0.147057 0.975657i
\(159\) 0.174402 0.0130696i 0.0138310 0.00103649i
\(160\) −27.6278 + 10.8431i −2.18417 + 0.857224i
\(161\) −0.00372129 + 0.0163040i −0.000293279 + 0.00128494i
\(162\) −1.39554 + 18.6221i −0.109644 + 1.46309i
\(163\) 3.98588 + 12.9219i 0.312198 + 1.01212i 0.966668 + 0.256033i \(0.0824156\pi\)
−0.654470 + 0.756088i \(0.727108\pi\)
\(164\) −9.06970 + 18.8334i −0.708224 + 1.47064i
\(165\) −0.510864 + 0.294947i −0.0397707 + 0.0229616i
\(166\) −1.97516 + 3.42107i −0.153302 + 0.265526i
\(167\) −5.83502 8.55840i −0.451527 0.662269i 0.531218 0.847235i \(-0.321735\pi\)
−0.982745 + 0.184967i \(0.940782\pi\)
\(168\) −0.000167926 0 0.000735731i −1.29557e−5 0 5.67628e-5i
\(169\) 4.17195 0.628821i 0.320919 0.0483708i
\(170\) 14.8250 + 27.6581i 1.13703 + 2.12128i
\(171\) 18.7590 1.43454
\(172\) 9.87310 + 11.5476i 0.752817 + 0.880499i
\(173\) 14.1223i 1.07370i −0.843678 0.536849i \(-0.819614\pi\)
0.843678 0.536849i \(-0.180386\pi\)
\(174\) −0.360445 + 0.451984i −0.0273253 + 0.0342648i
\(175\) −0.0392542 0.260435i −0.00296734 0.0196870i
\(176\) 13.9955 3.19438i 1.05495 0.240785i
\(177\) −0.178953 0.262476i −0.0134509 0.0197289i
\(178\) 4.59931 7.96624i 0.344733 0.597095i
\(179\) 12.4318 + 21.5325i 0.929195 + 1.60941i 0.784671 + 0.619912i \(0.212832\pi\)
0.144524 + 0.989501i \(0.453835\pi\)
\(180\) 11.0423 22.9297i 0.823047 1.70908i
\(181\) −2.63928 8.55634i −0.196176 0.635988i −0.999198 0.0400383i \(-0.987252\pi\)
0.803022 0.595950i \(-0.203224\pi\)
\(182\) 0.192079 + 0.0143944i 0.0142379 + 0.00106698i
\(183\) 0.0970970 0.425410i 0.00717762 0.0314472i
\(184\) 0.327634 0.128587i 0.0241535 0.00947954i
\(185\) 2.49404 + 33.2807i 0.183366 + 2.44684i
\(186\) −0.458525 0.0691115i −0.0336207 0.00506750i
\(187\) −6.08583 17.0718i −0.445040 1.24841i
\(188\) −1.28091 + 0.616854i −0.0934200 + 0.0449887i
\(189\) −0.00568055 0.00387293i −0.000413199 0.000281714i
\(190\) −44.3213 17.3948i −3.21541 1.26195i
\(191\) 7.87504 + 2.42913i 0.569818 + 0.175766i 0.566258 0.824228i \(-0.308391\pi\)
0.00355995 + 0.999994i \(0.498867\pi\)
\(192\) 0.256717 0.276675i 0.0185270 0.0199673i
\(193\) 3.12932 2.49555i 0.225254 0.179634i −0.504360 0.863494i \(-0.668271\pi\)
0.729613 + 0.683860i \(0.239700\pi\)
\(194\) 2.98050 2.37687i 0.213988 0.170649i
\(195\) −0.291506 0.270478i −0.0208752 0.0193693i
\(196\) 15.4956 + 4.77977i 1.10683 + 0.341412i
\(197\) 13.0261 + 5.11238i 0.928074 + 0.364242i 0.780748 0.624846i \(-0.214838\pi\)
0.147326 + 0.989088i \(0.452933\pi\)
\(198\) −15.4276 + 22.6282i −1.09640 + 1.60812i
\(199\) 6.04482 + 12.5522i 0.428506 + 0.889802i 0.997712 + 0.0676072i \(0.0215365\pi\)
−0.569206 + 0.822195i \(0.692749\pi\)
\(200\) −4.06337 + 3.77026i −0.287324 + 0.266598i
\(201\) 0.0247994 0.164533i 0.00174921 0.0116053i
\(202\) −1.10500 14.7452i −0.0777475 1.03747i
\(203\) 0.0868104 + 0.221189i 0.00609290 + 0.0155244i
\(204\) −0.282789 0.206167i −0.0197992 0.0144346i
\(205\) 2.46979 32.9570i 0.172497 2.30182i
\(206\) 37.6006 11.5982i 2.61976 0.808088i
\(207\) 0.695477 1.44417i 0.0483390 0.100377i
\(208\) 4.83865 + 8.38079i 0.335500 + 0.581103i
\(209\) 23.8147 + 13.7494i 1.64730 + 0.951068i
\(210\) 0.00491388 + 0.00720734i 0.000339090 + 0.000497354i
\(211\) 2.59983 0.593395i 0.178980 0.0408510i −0.132092 0.991238i \(-0.542169\pi\)
0.311071 + 0.950387i \(0.399312\pi\)
\(212\) −10.9372 + 1.64852i −0.751172 + 0.113221i
\(213\) 0.0456768 0.0572769i 0.00312972 0.00392455i
\(214\) 12.2906i 0.840171i
\(215\) −21.2009 11.2924i −1.44589 0.770134i
\(216\) 0.144697i 0.00984540i
\(217\) −0.118832 + 0.149011i −0.00806685 + 0.0101155i
\(218\) 5.10625 + 33.8778i 0.345839 + 2.29449i
\(219\) −0.0322613 0.141346i −0.00218002 0.00955127i
\(220\) 30.8246 21.0159i 2.07820 1.41689i
\(221\) 9.78790 7.31250i 0.658406 0.491892i
\(222\) −0.346739 0.600569i −0.0232716 0.0403076i
\(223\) −6.22412 2.99738i −0.416798 0.200719i 0.213718 0.976895i \(-0.431442\pi\)
−0.630516 + 0.776176i \(0.717157\pi\)
\(224\) −0.0747145 0.242218i −0.00499207 0.0161839i
\(225\) −1.88651 + 25.1737i −0.125767 + 1.67825i
\(226\) 22.2524 + 5.07896i 1.48021 + 0.337848i
\(227\) 23.1253 9.07600i 1.53488 0.602395i 0.560668 0.828041i \(-0.310544\pi\)
0.974209 + 0.225646i \(0.0724492\pi\)
\(228\) 0.529500 0.0396805i 0.0350670 0.00262791i
\(229\) −12.8840 1.94195i −0.851398 0.128328i −0.291175 0.956670i \(-0.594046\pi\)
−0.560222 + 0.828342i \(0.689284\pi\)
\(230\) −2.98233 + 2.76720i −0.196649 + 0.182464i
\(231\) −0.00218593 0.00453912i −0.000143823 0.000298652i
\(232\) 2.81711 4.13194i 0.184952 0.271275i
\(233\) −7.73647 3.03634i −0.506833 0.198917i 0.0981261 0.995174i \(-0.468715\pi\)
−0.604959 + 0.796257i \(0.706810\pi\)
\(234\) −17.6420 5.44183i −1.15329 0.355743i
\(235\) 1.52888 1.64774i 0.0997329 0.107487i
\(236\) 12.5265 + 15.7078i 0.815408 + 1.02249i
\(237\) −0.136344 0.170970i −0.00885652 0.0111057i
\(238\) −0.245018 + 0.108608i −0.0158821 + 0.00704002i
\(239\) −23.8948 7.37058i −1.54563 0.476763i −0.599451 0.800411i \(-0.704615\pi\)
−0.946178 + 0.323648i \(0.895091\pi\)
\(240\) −0.160113 + 0.407961i −0.0103352 + 0.0263337i
\(241\) −3.93109 + 5.76585i −0.253224 + 0.371411i −0.931711 0.363202i \(-0.881684\pi\)
0.678487 + 0.734613i \(0.262636\pi\)
\(242\) −15.5793 + 7.50260i −1.00148 + 0.482286i
\(243\) 0.672379 + 0.724653i 0.0431332 + 0.0464865i
\(244\) −4.11303 + 27.2882i −0.263310 + 1.74695i
\(245\) −25.5666 + 1.91596i −1.63339 + 0.122406i
\(246\) 0.250892 + 0.639262i 0.0159963 + 0.0407578i
\(247\) −4.12500 + 18.0728i −0.262468 + 1.14995i
\(248\) 4.00003 + 0.299761i 0.254002 + 0.0190349i
\(249\) 0.0205304 + 0.0665578i 0.00130106 + 0.00421793i
\(250\) 11.2889 23.4417i 0.713973 1.48258i
\(251\) −11.7662 20.3797i −0.742678 1.28636i −0.951272 0.308354i \(-0.900222\pi\)
0.208594 0.978002i \(-0.433111\pi\)
\(252\) 0.188237 + 0.108679i 0.0118578 + 0.00684613i
\(253\) 1.94142 1.32364i 0.122056 0.0832164i
\(254\) −8.88492 38.9274i −0.557489 2.44252i
\(255\) 0.535282 + 0.140082i 0.0335207 + 0.00877230i
\(256\) 6.10902 7.66047i 0.381814 0.478779i
\(257\) −0.737714 −0.0460173 −0.0230087 0.999735i \(-0.507325\pi\)
−0.0230087 + 0.999735i \(0.507325\pi\)
\(258\) 0.498715 + 0.0202666i 0.0310487 + 0.00126175i
\(259\) −0.285034 −0.0177111
\(260\) 19.6627 + 15.6805i 1.21943 + 0.972464i
\(261\) −3.39445 22.5207i −0.210111 1.39400i
\(262\) −3.53671 + 0.807231i −0.218499 + 0.0498709i
\(263\) 9.45819 6.44849i 0.583217 0.397631i −0.235461 0.971884i \(-0.575660\pi\)
0.818678 + 0.574253i \(0.194708\pi\)
\(264\) −0.0530160 + 0.0918265i −0.00326291 + 0.00565153i
\(265\) 15.1447 8.74379i 0.930331 0.537127i
\(266\) 0.176434 0.366370i 0.0108179 0.0224636i
\(267\) −0.0478067 0.154985i −0.00292572 0.00948496i
\(268\) −0.786403 + 10.4938i −0.0480372 + 0.641012i
\(269\) −28.1832 6.43263i −1.71836 0.392204i −0.754016 0.656856i \(-0.771886\pi\)
−0.964344 + 0.264652i \(0.914743\pi\)
\(270\) −0.611057 1.55695i −0.0371877 0.0947528i
\(271\) −0.621711 8.29616i −0.0377663 0.503956i −0.983726 0.179673i \(-0.942496\pi\)
0.945960 0.324283i \(-0.105123\pi\)
\(272\) −11.4429 7.09713i −0.693825 0.430327i
\(273\) 0.00248963 0.00231004i 0.000150680 0.000139810i
\(274\) −15.2261 + 7.33249i −0.919840 + 0.442972i
\(275\) −20.8460 + 30.5755i −1.25706 + 1.84377i
\(276\) 0.0165760 0.0422349i 0.000997758 0.00254224i
\(277\) −2.85286 + 9.24873i −0.171411 + 0.555702i −0.999991 0.00416861i \(-0.998673\pi\)
0.828580 + 0.559871i \(0.189149\pi\)
\(278\) −20.5171 + 22.1121i −1.23053 + 1.32620i
\(279\) 14.2825 11.3899i 0.855071 0.681897i
\(280\) −0.0470476 0.0589959i −0.00281163 0.00352568i
\(281\) −4.97305 4.61431i −0.296667 0.275267i 0.517768 0.855521i \(-0.326763\pi\)
−0.814436 + 0.580254i \(0.802953\pi\)
\(282\) −0.0137670 + 0.0446315i −0.000819812 + 0.00265777i
\(283\) −2.40580 0.944207i −0.143010 0.0561273i 0.292757 0.956187i \(-0.405427\pi\)
−0.435767 + 0.900060i \(0.643523\pi\)
\(284\) −2.60999 + 3.82815i −0.154874 + 0.227159i
\(285\) −0.756373 + 0.364250i −0.0448037 + 0.0215763i
\(286\) −18.4080 19.8391i −1.08849 1.17311i
\(287\) 0.279109 + 0.0420689i 0.0164753 + 0.00248325i
\(288\) 1.81562 + 24.2278i 0.106987 + 1.42764i
\(289\) −7.19659 + 15.4016i −0.423329 + 0.905976i
\(290\) −12.8630 + 56.3565i −0.755342 + 3.30937i
\(291\) 0.00502315 0.0670293i 0.000294462 0.00392933i
\(292\) 2.70265 + 8.76178i 0.158161 + 0.512744i
\(293\) −14.8216 7.13770i −0.865886 0.416989i −0.0524366 0.998624i \(-0.516699\pi\)
−0.813450 + 0.581635i \(0.802413\pi\)
\(294\) 0.461365 0.266369i 0.0269074 0.0155350i
\(295\) −27.5091 15.8824i −1.60164 0.924708i
\(296\) 3.37930 + 4.95652i 0.196418 + 0.288092i
\(297\) 0.214955 + 0.941778i 0.0124729 + 0.0546475i
\(298\) 28.4579 4.28934i 1.64852 0.248475i
\(299\) 1.23841 + 0.987602i 0.0716193 + 0.0571145i
\(300\) 0.714554i 0.0412548i
\(301\) 0.109705 0.173355i 0.00632330 0.00999201i
\(302\) −32.5972 −1.87576
\(303\) −0.203838 0.162555i −0.0117102 0.00933854i
\(304\) 20.2018 3.04493i 1.15865 0.174639i
\(305\) −9.70885 42.5373i −0.555927 2.43568i
\(306\) 25.2123 4.92313i 1.44129 0.281437i
\(307\) 0.260830 0.451771i 0.0148864 0.0257839i −0.858486 0.512837i \(-0.828595\pi\)
0.873373 + 0.487053i \(0.161928\pi\)
\(308\) 0.159313 + 0.275937i 0.00907767 + 0.0157230i
\(309\) 0.301029 0.625093i 0.0171249 0.0355603i
\(310\) −44.3064 + 13.6667i −2.51644 + 0.776218i
\(311\) 0.289825 + 0.0217194i 0.0164345 + 0.00123159i 0.0829448 0.996554i \(-0.473567\pi\)
−0.0665103 + 0.997786i \(0.521187\pi\)
\(312\) −0.0696865 0.0159055i −0.00394522 0.000900471i
\(313\) 31.8943 12.5176i 1.80277 0.707536i 0.810160 0.586208i \(-0.199380\pi\)
0.992612 0.121328i \(-0.0387153\pi\)
\(314\) 2.73077 + 36.4397i 0.154107 + 2.05641i
\(315\) −0.339814 0.0512188i −0.0191464 0.00288585i
\(316\) 9.40687 + 10.1382i 0.529178 + 0.570318i
\(317\) 10.0431 + 20.8548i 0.564079 + 1.17132i 0.966690 + 0.255951i \(0.0823884\pi\)
−0.402611 + 0.915371i \(0.631897\pi\)
\(318\) −0.204696 + 0.300234i −0.0114788 + 0.0168363i
\(319\) 12.1973 31.0782i 0.682916 1.74004i
\(320\) 11.1239 36.0630i 0.621848 2.01598i
\(321\) −0.158860 0.147400i −0.00886668 0.00822708i
\(322\) −0.0216640 0.0271658i −0.00120729 0.00151389i
\(323\) −6.82123 24.8750i −0.379543 1.38408i
\(324\) −15.2652 14.1640i −0.848066 0.786891i
\(325\) −23.8380 7.35306i −1.32230 0.407874i
\(326\) −26.1541 10.2647i −1.44854 0.568510i
\(327\) 0.499117 + 0.340292i 0.0276013 + 0.0188182i
\(328\) −2.57751 5.35225i −0.142319 0.295529i
\(329\) 0.0130575 + 0.0140726i 0.000719884 + 0.000775850i
\(330\) 0.182671 1.21194i 0.0100557 0.0667153i
\(331\) −1.09414 14.6002i −0.0601392 0.802502i −0.942984 0.332837i \(-0.891994\pi\)
0.882845 0.469664i \(-0.155625\pi\)
\(332\) −1.60935 4.10057i −0.0883248 0.225048i
\(333\) 26.6351 + 6.07930i 1.45960 + 0.333143i
\(334\) 21.4614 + 1.60831i 1.17431 + 0.0880026i
\(335\) −4.90405 15.8986i −0.267937 0.868631i
\(336\) −0.00337229 0.00162401i −0.000183974 8.85970e-5i
\(337\) −28.1333 + 16.2428i −1.53252 + 0.884799i −0.533273 + 0.845943i \(0.679038\pi\)
−0.999245 + 0.0388559i \(0.987629\pi\)
\(338\) −4.38302 + 7.59162i −0.238405 + 0.412929i
\(339\) 0.332517 0.226706i 0.0180598 0.0123130i
\(340\) −34.4207 6.30471i −1.86672 0.341921i
\(341\) 26.4800 3.99122i 1.43397 0.216136i
\(342\) −24.3011 + 30.4726i −1.31405 + 1.64777i
\(343\) 0.437964i 0.0236478i
\(344\) −4.31515 + 0.147569i −0.232657 + 0.00795636i
\(345\) 0.0717341i 0.00386203i
\(346\) 22.9406 + 18.2945i 1.23329 + 0.983519i
\(347\) −2.07020 13.7349i −0.111134 0.737327i −0.973104 0.230367i \(-0.926007\pi\)
0.861970 0.506960i \(-0.169231\pi\)
\(348\) −0.143451 0.628499i −0.00768976 0.0336911i
\(349\) 4.79823 3.27138i 0.256843 0.175113i −0.428052 0.903754i \(-0.640800\pi\)
0.684896 + 0.728641i \(0.259848\pi\)
\(350\) 0.473908 + 0.273611i 0.0253314 + 0.0146251i
\(351\) −0.563956 + 0.325600i −0.0301017 + 0.0173793i
\(352\) −15.4528 + 32.0881i −0.823638 + 1.71030i
\(353\) 9.74815 3.00691i 0.518842 0.160041i −0.0242643 0.999706i \(-0.507724\pi\)
0.543106 + 0.839664i \(0.317248\pi\)
\(354\) 0.658194 + 0.0493248i 0.0349826 + 0.00262158i
\(355\) 1.63004 7.14168i 0.0865137 0.379041i
\(356\) 3.74752 + 9.54851i 0.198618 + 0.506070i
\(357\) −0.00153468 + 0.00446944i −8.12239e−5 + 0.000236548i
\(358\) −51.0825 7.69944i −2.69979 0.406928i
\(359\) −18.9040 + 17.5404i −0.997717 + 0.925746i −0.997239 0.0742541i \(-0.976342\pi\)
−0.000477306 1.00000i \(0.500152\pi\)
\(360\) 3.13811 + 6.51635i 0.165393 + 0.343442i
\(361\) 16.6364 + 11.3425i 0.875600 + 0.596974i
\(362\) 17.3181 + 6.79687i 0.910222 + 0.357236i
\(363\) −0.0898678 + 0.291344i −0.00471684 + 0.0152916i
\(364\) −0.146096 + 0.157454i −0.00765750 + 0.00825283i
\(365\) −9.03862 11.3341i −0.473103 0.593252i
\(366\) 0.565263 + 0.708817i 0.0295468 + 0.0370505i
\(367\) 0.465921 0.502143i 0.0243209 0.0262117i −0.720774 0.693170i \(-0.756214\pi\)
0.745095 + 0.666958i \(0.232404\pi\)
\(368\) 0.514551 1.66813i 0.0268228 0.0869574i
\(369\) −25.1842 9.88409i −1.31104 0.514545i
\(370\) −57.2928 39.0616i −2.97851 2.03071i
\(371\) 0.0648024 + 0.134564i 0.00336437 + 0.00698619i
\(372\) 0.379051 0.351708i 0.0196529 0.0182352i
\(373\) −24.2929 3.66156i −1.25784 0.189588i −0.513907 0.857846i \(-0.671802\pi\)
−0.743930 + 0.668257i \(0.767041\pi\)
\(374\) 35.6156 + 12.2294i 1.84164 + 0.632366i
\(375\) −0.167603 0.427045i −0.00865497 0.0220525i
\(376\) 0.0899057 0.393903i 0.00463653 0.0203140i
\(377\) 22.4433 + 1.68189i 1.15589 + 0.0866220i
\(378\) 0.0136501 0.00421049i 0.000702084 0.000216564i
\(379\) −10.7507 + 22.3241i −0.552227 + 1.14671i 0.418875 + 0.908044i \(0.362425\pi\)
−0.971102 + 0.238667i \(0.923290\pi\)
\(380\) 45.9806 26.5469i 2.35876 1.36183i
\(381\) −0.609701 0.352011i −0.0312360 0.0180341i
\(382\) −14.1475 + 9.64563i −0.723851 + 0.493513i
\(383\) −3.67918 16.1195i −0.187997 0.823670i −0.977671 0.210143i \(-0.932607\pi\)
0.789673 0.613528i \(-0.210250\pi\)
\(384\) 0.0284000 + 0.188422i 0.00144928 + 0.00961537i
\(385\) −0.393856 0.314090i −0.0200728 0.0160075i
\(386\) 8.31617i 0.423282i
\(387\) −13.9488 + 13.8594i −0.709059 + 0.704514i
\(388\) 4.25107i 0.215815i
\(389\) −3.87385 + 4.85765i −0.196412 + 0.246293i −0.870278 0.492561i \(-0.836061\pi\)
0.673866 + 0.738853i \(0.264632\pi\)
\(390\) 0.816999 0.123143i 0.0413703 0.00623557i
\(391\) −2.16791 0.397088i −0.109636 0.0200816i
\(392\) −3.80766 + 2.59602i −0.192316 + 0.131119i
\(393\) −0.0319817 + 0.0553939i −0.00161326 + 0.00279425i
\(394\) −25.1792 + 14.5372i −1.26851 + 0.732374i
\(395\) −19.7006 9.48732i −0.991246 0.477359i
\(396\) −9.00177 29.1830i −0.452356 1.46650i
\(397\) 13.9223 + 1.04334i 0.698743 + 0.0523635i 0.419365 0.907818i \(-0.362253\pi\)
0.279378 + 0.960181i \(0.409872\pi\)
\(398\) −28.2208 6.44121i −1.41458 0.322869i
\(399\) −0.00261946 0.00667429i −0.000131137 0.000334132i
\(400\) 2.05455 + 27.4160i 0.102727 + 1.37080i
\(401\) 0.318616 2.11388i 0.0159109 0.105562i −0.979466 0.201611i \(-0.935382\pi\)
0.995377 + 0.0960487i \(0.0306205\pi\)
\(402\) 0.235146 + 0.253427i 0.0117280 + 0.0126398i
\(403\) 7.83263 + 16.2646i 0.390171 + 0.810199i
\(404\) 13.6237 + 9.28847i 0.677803 + 0.462118i
\(405\) 30.6480 + 12.0285i 1.52291 + 0.597699i
\(406\) −0.471763 0.145519i −0.0234132 0.00722201i
\(407\) 29.3577 + 27.2399i 1.45521 + 1.35023i
\(408\) 0.0959150 0.0263018i 0.00474850 0.00130213i
\(409\) 11.9640 + 15.0024i 0.591581 + 0.741819i 0.984039 0.177951i \(-0.0569468\pi\)
−0.392459 + 0.919770i \(0.628375\pi\)
\(410\) 50.3367 + 46.7056i 2.48595 + 2.30663i
\(411\) −0.0878301 + 0.284738i −0.00433234 + 0.0140451i
\(412\) −16.0307 + 40.8454i −0.789774 + 2.01231i
\(413\) 0.152823 0.224150i 0.00751993 0.0110297i
\(414\) 1.44500 + 3.00058i 0.0710181 + 0.147471i
\(415\) 4.73715 + 5.10543i 0.232537 + 0.250616i
\(416\) −23.7408 3.57835i −1.16399 0.175443i
\(417\) 0.0397462 + 0.530376i 0.00194638 + 0.0259726i
\(418\) −53.1853 + 20.8737i −2.60138 + 1.02097i
\(419\) 21.1255 + 4.82175i 1.03205 + 0.235558i 0.704818 0.709388i \(-0.251028\pi\)
0.327228 + 0.944946i \(0.393886\pi\)
\(420\) −0.00970008 0.000726921i −0.000473316 3.54701e-5i
\(421\) 14.9574 4.61374i 0.728978 0.224860i 0.0920189 0.995757i \(-0.470668\pi\)
0.636960 + 0.770897i \(0.280192\pi\)
\(422\) −2.40399 + 4.99193i −0.117024 + 0.243004i
\(423\) −0.920021 1.59352i −0.0447330 0.0774797i
\(424\) 1.57168 2.72222i 0.0763273 0.132203i
\(425\) 34.0671 6.65219i 1.65250 0.322679i
\(426\) 0.0338706 + 0.148397i 0.00164104 + 0.00718985i
\(427\) 0.368474 0.0555385i 0.0178317 0.00268770i
\(428\) 10.7154 + 8.54527i 0.517950 + 0.413051i
\(429\) −0.477191 −0.0230390
\(430\) 45.8080 19.8108i 2.20906 0.955359i
\(431\) 26.4092i 1.27208i 0.771654 + 0.636042i \(0.219430\pi\)
−0.771654 + 0.636042i \(0.780570\pi\)
\(432\) 0.561102 + 0.447464i 0.0269961 + 0.0215286i
\(433\) 8.22428 1.23961i 0.395234 0.0595719i 0.0515812 0.998669i \(-0.483574\pi\)
0.343652 + 0.939097i \(0.388336\pi\)
\(434\) −0.0881174 0.386068i −0.00422977 0.0185318i
\(435\) 0.574158 + 0.842135i 0.0275288 + 0.0403773i
\(436\) −33.0861 19.1023i −1.58454 0.914833i
\(437\) 2.89599 1.67200i 0.138534 0.0799825i
\(438\) 0.271398 + 0.130698i 0.0129679 + 0.00624501i
\(439\) −2.08641 6.76397i −0.0995788 0.322827i 0.892052 0.451933i \(-0.149265\pi\)
−0.991631 + 0.129106i \(0.958789\pi\)
\(440\) −0.792310 + 10.5726i −0.0377719 + 0.504031i
\(441\) −4.67020 + 20.4615i −0.222390 + 0.974356i
\(442\) −0.800989 + 25.3726i −0.0380991 + 1.20685i
\(443\) 1.96067 + 26.1633i 0.0931541 + 1.24305i 0.826397 + 0.563088i \(0.190387\pi\)
−0.733243 + 0.679967i \(0.761994\pi\)
\(444\) 0.764674 + 0.115256i 0.0362898 + 0.00546981i
\(445\) −11.0308 11.8884i −0.522912 0.563565i
\(446\) 12.9319 6.22770i 0.612346 0.294890i
\(447\) 0.285851 0.419267i 0.0135203 0.0198306i
\(448\) 0.300038 + 0.117756i 0.0141755 + 0.00556346i
\(449\) −9.52537 + 30.8805i −0.449530 + 1.45734i 0.393425 + 0.919357i \(0.371290\pi\)
−0.842955 + 0.537984i \(0.819186\pi\)
\(450\) −38.4489 35.6754i −1.81250 1.68175i
\(451\) −24.7270 31.0067i −1.16435 1.46005i
\(452\) −19.8994 + 15.8692i −0.935988 + 0.746425i
\(453\) −0.390935 + 0.421327i −0.0183677 + 0.0197957i
\(454\) −15.2140 + 49.3226i −0.714029 + 2.31482i
\(455\) 0.124068 0.316121i 0.00581642 0.0148200i
\(456\) −0.0850050 + 0.124679i −0.00398072 + 0.00583865i
\(457\) 19.2758 9.28275i 0.901685 0.434229i 0.0751879 0.997169i \(-0.476044\pi\)
0.826497 + 0.562941i \(0.190330\pi\)
\(458\) 19.8449 18.4134i 0.927292 0.860401i
\(459\) 0.477577 0.770007i 0.0222914 0.0359409i
\(460\) −0.339030 4.52405i −0.0158074 0.210935i
\(461\) −11.6325 29.6390i −0.541778 1.38043i −0.895493 0.445075i \(-0.853177\pi\)
0.353715 0.935353i \(-0.384918\pi\)
\(462\) 0.0102052 + 0.00232927i 0.000474788 + 0.000108367i
\(463\) −1.45708 + 19.4433i −0.0677160 + 0.903608i 0.855124 + 0.518424i \(0.173481\pi\)
−0.922840 + 0.385184i \(0.874138\pi\)
\(464\) −7.31104 23.7018i −0.339406 1.10033i
\(465\) −0.354716 + 0.736575i −0.0164496 + 0.0341579i
\(466\) 14.9544 8.63392i 0.692749 0.399959i
\(467\) −8.61963 + 14.9296i −0.398869 + 0.690862i −0.993587 0.113073i \(-0.963931\pi\)
0.594718 + 0.803935i \(0.297264\pi\)
\(468\) 17.0103 11.5974i 0.786299 0.536090i
\(469\) 0.138533 0.0316193i 0.00639687 0.00146004i
\(470\) 0.696064 + 4.61808i 0.0321070 + 0.213016i
\(471\) 0.503741 + 0.401720i 0.0232112 + 0.0185103i
\(472\) −5.70964 −0.262807
\(473\) −27.8664 + 7.37083i −1.28130 + 0.338911i
\(474\) 0.454354 0.0208692
\(475\) −32.8359 + 41.1749i −1.50661 + 1.88924i
\(476\) 0.0756640 0.289127i 0.00346805 0.0132521i
\(477\) −3.18548 13.9565i −0.145853 0.639025i
\(478\) 42.9272 29.2673i 1.96344 1.33865i
\(479\) 27.5257 + 15.8920i 1.25768 + 0.726122i 0.972623 0.232388i \(-0.0746541\pi\)
0.285057 + 0.958510i \(0.407987\pi\)
\(480\) −0.543646 0.941622i −0.0248139 0.0429790i
\(481\) −11.7138 + 24.3240i −0.534105 + 1.10908i
\(482\) −4.27371 13.8550i −0.194662 0.631080i
\(483\) −0.000610938 0 4.57835e-5i −2.77986e−5 0 2.08322e-6i
\(484\) 4.29073 18.7989i 0.195033 0.854497i
\(485\) −2.45551 6.25653i −0.111499 0.284094i
\(486\) −2.04817 + 0.153489i −0.0929067 + 0.00696240i
\(487\) 3.69730 24.5300i 0.167541 1.11156i −0.734090 0.679052i \(-0.762391\pi\)
0.901630 0.432507i \(-0.142371\pi\)
\(488\) −5.33432 5.74903i −0.241473 0.260246i
\(489\) −0.446337 + 0.214945i −0.0201841 + 0.00972013i
\(490\) 30.0076 44.0131i 1.35561 1.98831i
\(491\) 1.97070 5.02126i 0.0889363 0.226606i −0.879484 0.475928i \(-0.842112\pi\)
0.968421 + 0.249322i \(0.0802076\pi\)
\(492\) −0.731769 0.225721i −0.0329907 0.0101763i
\(493\) −28.6288 + 12.6902i −1.28938 + 0.571538i
\(494\) −24.0142 30.1129i −1.08045 1.35484i
\(495\) 30.1051 + 37.7506i 1.35312 + 1.69676i
\(496\) 13.5322 14.5842i 0.607613 0.654851i
\(497\) 0.0597833 + 0.0184407i 0.00268165 + 0.000827178i
\(498\) −0.134714 0.0528713i −0.00603667 0.00236922i
\(499\) −6.59641 + 9.67516i −0.295296 + 0.433120i −0.945001 0.327066i \(-0.893940\pi\)
0.649705 + 0.760186i \(0.274892\pi\)
\(500\) 12.5885 + 26.1403i 0.562975 + 1.16903i
\(501\) 0.278171 0.258105i 0.0124278 0.0115313i
\(502\) 48.3477 + 7.28724i 2.15786 + 0.325245i
\(503\) −15.2761 + 1.14478i −0.681127 + 0.0510434i −0.410800 0.911725i \(-0.634751\pi\)
−0.270326 + 0.962769i \(0.587132\pi\)
\(504\) −0.0575008 + 0.0225674i −0.00256129 + 0.00100523i
\(505\) −25.4159 5.80101i −1.13099 0.258142i
\(506\) −0.364834 + 4.86837i −0.0162189 + 0.216426i
\(507\) 0.0455585 + 0.147697i 0.00202332 + 0.00655945i
\(508\) 40.1157 + 19.3187i 1.77985 + 0.857128i
\(509\) −5.74802 9.95587i −0.254777 0.441286i 0.710058 0.704143i \(-0.248669\pi\)
−0.964835 + 0.262857i \(0.915335\pi\)
\(510\) −0.920977 + 0.688058i −0.0407815 + 0.0304677i
\(511\) 0.102298 0.0697454i 0.00452539 0.00308536i
\(512\) 6.84485 + 29.9892i 0.302502 + 1.32535i
\(513\) 0.204898 + 1.35941i 0.00904646 + 0.0600193i
\(514\) 0.955660 1.19836i 0.0421524 0.0528574i
\(515\) 69.3741i 3.05699i
\(516\) −0.364409 + 0.420708i −0.0160422 + 0.0185206i
\(517\) 2.69732i 0.118628i
\(518\) 0.369242 0.463015i 0.0162236 0.0203437i
\(519\) 0.511585 0.0771090i 0.0224561 0.00338471i
\(520\) −6.96804 + 1.59041i −0.305569 + 0.0697441i
\(521\) −16.7490 24.5663i −0.733789 1.07627i −0.993856 0.110680i \(-0.964697\pi\)
0.260067 0.965591i \(-0.416255\pi\)
\(522\) 40.9805 + 23.6601i 1.79367 + 1.03557i
\(523\) −10.4512 18.1019i −0.456997 0.791543i 0.541803 0.840505i \(-0.317742\pi\)
−0.998801 + 0.0489627i \(0.984408\pi\)
\(524\) 1.75518 3.64467i 0.0766755 0.159218i
\(525\) 0.00922000 0.00284399i 0.000402394 0.000124122i
\(526\) −1.77740 + 23.7177i −0.0774982 + 1.03414i
\(527\) −20.2968 14.7974i −0.884144 0.644585i
\(528\) 0.192134 + 0.489550i 0.00836157 + 0.0213049i
\(529\) 1.69744 + 22.6508i 0.0738017 + 0.984815i
\(530\) −5.41534 + 35.9284i −0.235227 + 1.56063i
\(531\) −19.0614 + 17.6864i −0.827194 + 0.767524i
\(532\) 0.196746 + 0.408547i 0.00853001 + 0.0177127i
\(533\) 15.0604 22.0896i 0.652338 0.956805i
\(534\) 0.313693 + 0.123115i 0.0135748 + 0.00532772i
\(535\) −20.7064 6.38708i −0.895216 0.276138i
\(536\) −2.19226 2.03412i −0.0946911 0.0878605i
\(537\) −0.712143 + 0.567915i −0.0307312 + 0.0245073i
\(538\) 46.9588 37.4484i 2.02454 1.61452i
\(539\) −20.9261 + 22.5530i −0.901350 + 0.971424i
\(540\) 1.78225 + 0.549752i 0.0766959 + 0.0236576i
\(541\) 19.4586 + 7.63693i 0.836590 + 0.328337i 0.744673 0.667429i \(-0.232605\pi\)
0.0919167 + 0.995767i \(0.470701\pi\)
\(542\) 14.2819 + 9.73721i 0.613459 + 0.418249i
\(543\) 0.295546 0.142327i 0.0126831 0.00610785i
\(544\) 31.4666 11.2174i 1.34912 0.480941i
\(545\) 59.7284 + 9.00261i 2.55849 + 0.385630i
\(546\) 0.000527330 0.00703673i 2.25677e−5 0.000301144i
\(547\) 33.6989 13.2259i 1.44086 0.565497i 0.489072 0.872244i \(-0.337336\pi\)
0.951791 + 0.306747i \(0.0992404\pi\)
\(548\) 4.19344 18.3727i 0.179135 0.784842i
\(549\) −35.6168 2.66911i −1.52009 0.113915i
\(550\) −22.6629 73.4713i −0.966349 3.13283i
\(551\) 20.6153 42.8081i 0.878241 1.82369i
\(552\) 0.00644701 + 0.0111666i 0.000274403 + 0.000475280i
\(553\) 0.0933744 0.161729i 0.00397068 0.00687743i
\(554\) −11.3282 16.6154i −0.481288 0.705920i
\(555\) −1.19199 + 0.272063i −0.0505970 + 0.0115484i
\(556\) −5.01334 33.2614i −0.212613 1.41060i
\(557\) −11.4666 + 14.3787i −0.485856 + 0.609244i −0.962974 0.269595i \(-0.913110\pi\)
0.477118 + 0.878839i \(0.341681\pi\)
\(558\) 37.9557i 1.60679i
\(559\) −10.2852 16.4862i −0.435017 0.697292i
\(560\) −0.374263 −0.0158155
\(561\) 0.585201 0.313674i 0.0247072 0.0132433i
\(562\) 13.9379 2.10079i 0.587933 0.0886167i
\(563\) 1.55000 + 6.79098i 0.0653246 + 0.286206i 0.997030 0.0770079i \(-0.0245367\pi\)
−0.931706 + 0.363214i \(0.881680\pi\)
\(564\) −0.0293396 0.0430333i −0.00123542 0.00181203i
\(565\) 20.1206 34.8499i 0.846479 1.46614i
\(566\) 4.65035 2.68488i 0.195469 0.112854i
\(567\) −0.122004 + 0.253343i −0.00512367 + 0.0106394i
\(568\) −0.388108 1.25821i −0.0162846 0.0527935i
\(569\) 1.60871 21.4668i 0.0674408 0.899935i −0.856192 0.516657i \(-0.827176\pi\)
0.923633 0.383278i \(-0.125205\pi\)
\(570\) 0.388135 1.70053i 0.0162572 0.0712275i
\(571\) −5.21860 + 2.04815i −0.218391 + 0.0857123i −0.472014 0.881591i \(-0.656473\pi\)
0.253623 + 0.967303i \(0.418378\pi\)
\(572\) 30.0950 2.25530i 1.25833 0.0942990i
\(573\) −0.0449975 + 0.298539i −0.00187980 + 0.0124717i
\(574\) −0.429905 + 0.398894i −0.0179439 + 0.0166495i
\(575\) 1.95251 + 4.05442i 0.0814251 + 0.169081i
\(576\) −25.5257 17.4031i −1.06357 0.725130i
\(577\) 0.978444 2.49304i 0.0407332 0.103786i −0.909060 0.416666i \(-0.863198\pi\)
0.949793 + 0.312880i \(0.101294\pi\)
\(578\) −15.6960 31.6421i −0.652868 1.31614i
\(579\) 0.107489 + 0.0997348i 0.00446707 + 0.00414484i
\(580\) −40.1905 50.3973i −1.66882 2.09263i
\(581\) −0.0465049 + 0.0370864i −0.00192935 + 0.00153860i
\(582\) 0.102377 + 0.0949918i 0.00424366 + 0.00393754i
\(583\) 6.18543 20.0527i 0.256174 0.830497i
\(584\) −2.42564 0.951994i −0.100374 0.0393938i
\(585\) −18.3360 + 26.8940i −0.758101 + 1.11193i
\(586\) 30.7950 14.8301i 1.27213 0.612626i
\(587\) −23.7209 + 22.0098i −0.979068 + 0.908443i −0.995813 0.0914172i \(-0.970860\pi\)
0.0167444 + 0.999860i \(0.494670\pi\)
\(588\) −0.0885412 + 0.587433i −0.00365138 + 0.0242253i
\(589\) 38.0042 2.84802i 1.56594 0.117351i
\(590\) 61.4360 24.1118i 2.52928 0.992669i
\(591\) −0.114074 + 0.499790i −0.00469237 + 0.0205586i
\(592\) 29.6704 + 2.22349i 1.21945 + 0.0913850i
\(593\) 44.2430 13.6472i 1.81684 0.560422i 0.816976 0.576672i \(-0.195649\pi\)
0.999868 + 0.0162498i \(0.00517270\pi\)
\(594\) −1.80831 0.870834i −0.0741957 0.0357308i
\(595\) 0.0556470 + 0.469229i 0.00228130 + 0.0192365i
\(596\) −16.0462 + 27.7929i −0.657279 + 1.13844i
\(597\) −0.421703 + 0.287512i −0.0172591 + 0.0117671i
\(598\) −3.20857 + 0.732335i −0.131208 + 0.0299474i
\(599\) 4.96041 0.747662i 0.202677 0.0305486i −0.0469190 0.998899i \(-0.514940\pi\)
0.249596 + 0.968350i \(0.419702\pi\)
\(600\) −0.158765 0.126611i −0.00648157 0.00516888i
\(601\) 10.2073i 0.416366i 0.978090 + 0.208183i \(0.0667550\pi\)
−0.978090 + 0.208183i \(0.933245\pi\)
\(602\) 0.139486 + 0.402778i 0.00568502 + 0.0164160i
\(603\) −13.6197 −0.554638
\(604\) 22.6638 28.4195i 0.922175 1.15637i
\(605\) 4.54375 + 30.1458i 0.184730 + 1.22560i
\(606\) 0.528117 0.120539i 0.0214533 0.00489657i
\(607\) −6.57598 9.64518i −0.266911 0.391486i 0.669262 0.743026i \(-0.266610\pi\)
−0.936173 + 0.351540i \(0.885658\pi\)
\(608\) −25.3429 + 43.8952i −1.02779 + 1.78019i
\(609\) −0.00753867 + 0.00435245i −0.000305482 + 0.000176370i
\(610\) 81.6757 + 39.3330i 3.30695 + 1.59255i
\(611\) 1.73754 0.535960i 0.0702933 0.0216826i
\(612\) −13.2371 + 25.4039i −0.535077 + 1.02689i
\(613\) 1.62387 7.11462i 0.0655873 0.287357i −0.931489 0.363770i \(-0.881490\pi\)
0.997076 + 0.0764128i \(0.0243467\pi\)
\(614\) 0.395979 + 1.00894i 0.0159804 + 0.0407175i
\(615\) 1.20736 0.0904794i 0.0486856 0.00364848i
\(616\) −0.0895384 0.0134957i −0.00360760 0.000543759i
\(617\) −18.6072 20.0538i −0.749099 0.807337i 0.237346 0.971425i \(-0.423722\pi\)
−0.986446 + 0.164088i \(0.947532\pi\)
\(618\) 0.625453 + 1.29877i 0.0251594 + 0.0522440i
\(619\) 23.3980 34.3186i 0.940445 1.37938i 0.0152513 0.999884i \(-0.495145\pi\)
0.925194 0.379496i \(-0.123902\pi\)
\(620\) 18.8896 48.1300i 0.758626 1.93295i
\(621\) 0.112251 + 0.0346249i 0.00450448 + 0.00138945i
\(622\) −0.410731 + 0.442662i −0.0164688 + 0.0177491i
\(623\) 0.108290 0.0863588i 0.00433857 0.00345989i
\(624\) −0.277178 + 0.221042i −0.0110960 + 0.00884875i
\(625\) −2.77023 2.57040i −0.110809 0.102816i
\(626\) −20.9831 + 68.0256i −0.838654 + 2.71885i
\(627\) −0.368047 + 0.937769i −0.0146984 + 0.0374509i
\(628\) −33.6680 22.9545i −1.34350 0.915984i
\(629\) −1.62384 37.5296i −0.0647467 1.49640i
\(630\) 0.523408 0.485652i 0.0208531 0.0193488i
\(631\) −9.90232 1.49253i −0.394205 0.0594168i −0.0510511 0.998696i \(-0.516257\pi\)
−0.343154 + 0.939279i \(0.611495\pi\)
\(632\) −3.91938 + 0.293717i −0.155904 + 0.0116834i
\(633\) 0.0356913 + 0.0909398i 0.00141860 + 0.00361453i
\(634\) −46.8873 10.7017i −1.86213 0.425019i
\(635\) −70.1993 5.26071i −2.78577 0.208765i
\(636\) −0.119437 0.387204i −0.00473597 0.0153536i
\(637\) −18.6860 8.99872i −0.740368 0.356542i
\(638\) 34.6833 + 60.0733i 1.37313 + 2.37832i
\(639\) −5.19318 2.99828i −0.205439 0.118610i
\(640\) 10.7331 + 15.7426i 0.424265 + 0.622282i
\(641\) −27.5309 + 6.28375i −1.08741 + 0.248193i −0.728407 0.685145i \(-0.759739\pi\)
−0.358998 + 0.933338i \(0.616882\pi\)
\(642\) 0.445233 0.0671080i 0.0175719 0.00264854i
\(643\) 0.995529 + 0.793908i 0.0392598 + 0.0313087i 0.642923 0.765931i \(-0.277721\pi\)
−0.603663 + 0.797239i \(0.706293\pi\)
\(644\) 0.0387464 0.00152682
\(645\) 0.293311 0.829668i 0.0115491 0.0326681i
\(646\) 49.2441 + 21.1434i 1.93748 + 0.831877i
\(647\) −30.3909 + 38.1090i −1.19479 + 1.49822i −0.373574 + 0.927600i \(0.621868\pi\)
−0.821215 + 0.570618i \(0.806704\pi\)
\(648\) 5.85190 0.882032i 0.229884 0.0346495i
\(649\) −37.1618 + 8.48195i −1.45873 + 0.332945i
\(650\) 42.8251 29.1977i 1.67974 1.14523i
\(651\) −0.00604680 0.00349112i −0.000236993 0.000136828i
\(652\) 27.1332 15.6654i 1.06262 0.613503i
\(653\) −9.01313 + 18.7160i −0.352711 + 0.732412i −0.999543 0.0302202i \(-0.990379\pi\)
0.646832 + 0.762632i \(0.276093\pi\)
\(654\) −1.19935 + 0.369951i −0.0468984 + 0.0144662i
\(655\) −0.477957 + 6.37789i −0.0186753 + 0.249205i
\(656\) −28.7255 6.55642i −1.12154 0.255985i
\(657\) −11.0468 + 4.33556i −0.430978 + 0.169146i
\(658\) −0.0397751 + 0.00298073i −0.00155060 + 0.000116201i
\(659\) 32.1394 + 4.84424i 1.25197 + 0.188705i 0.741361 0.671106i \(-0.234181\pi\)
0.510613 + 0.859811i \(0.329419\pi\)
\(660\) 0.929612 + 1.00188i 0.0361851 + 0.0389983i
\(661\) −12.8958 + 6.21028i −0.501588 + 0.241552i −0.667529 0.744584i \(-0.732648\pi\)
0.165941 + 0.986136i \(0.446934\pi\)
\(662\) 25.1344 + 17.1363i 0.976875 + 0.666022i
\(663\) 0.318341 + 0.314643i 0.0123633 + 0.0122197i
\(664\) 1.19626 + 0.368996i 0.0464237 + 0.0143198i
\(665\) −0.525546 0.487635i −0.0203798 0.0189097i
\(666\) −44.3795 + 35.3914i −1.71967 + 1.37139i
\(667\) −2.53131 3.17416i −0.0980126 0.122904i
\(668\) −16.3235 + 17.5926i −0.631577 + 0.680678i
\(669\) 0.0745967 0.241837i 0.00288408 0.00934995i
\(670\) 32.1789 + 12.6293i 1.24318 + 0.487912i
\(671\) −43.2595 29.4938i −1.67001 1.13860i
\(672\) 0.00836650 0.00402909i 0.000322745 0.000155426i
\(673\) −30.4888 32.8592i −1.17526 1.26663i −0.956789 0.290784i \(-0.906084\pi\)
−0.218470 0.975844i \(-0.570106\pi\)
\(674\) 10.0597 66.7418i 0.387486 2.57080i
\(675\) −1.84487 + 0.138254i −0.0710089 + 0.00532138i
\(676\) −3.57128 9.09948i −0.137357 0.349980i
\(677\) 44.7277 + 10.2088i 1.71903 + 0.392356i 0.964535 0.263955i \(-0.0850271\pi\)
0.754490 + 0.656311i \(0.227884\pi\)
\(678\) −0.0624871 + 0.833832i −0.00239980 + 0.0320231i
\(679\) 0.0548522 0.0169197i 0.00210504 0.000649317i
\(680\) 7.49980 6.53073i 0.287604 0.250442i
\(681\) 0.455047 + 0.788165i 0.0174374 + 0.0302025i
\(682\) −27.8197 + 48.1851i −1.06527 + 1.84510i
\(683\) −12.8935 18.9113i −0.493355 0.723619i 0.496131 0.868248i \(-0.334754\pi\)
−0.989486 + 0.144629i \(0.953801\pi\)
\(684\) −9.67140 42.3732i −0.369795 1.62018i
\(685\) 4.44072 + 29.4623i 0.169671 + 1.12570i
\(686\) 0.711439 + 0.567353i 0.0271629 + 0.0216617i
\(687\) 0.477330i 0.0182113i
\(688\) −12.7720 + 17.1895i −0.486928 + 0.655344i
\(689\) 14.1464 0.538937
\(690\) −0.116527 0.0929268i −0.00443609 0.00353766i
\(691\) 6.09660 + 40.4483i 0.231926 + 1.53873i 0.737145 + 0.675734i \(0.236173\pi\)
−0.505220 + 0.862991i \(0.668588\pi\)
\(692\) −31.8997 + 7.28089i −1.21264 + 0.276778i
\(693\) −0.340725 + 0.232302i −0.0129431 + 0.00882444i
\(694\) 24.9931 + 14.4298i 0.948724 + 0.547746i
\(695\) 26.5908 + 46.0567i 1.00865 + 1.74703i
\(696\) 0.165063 + 0.0794900i 0.00625668 + 0.00301306i
\(697\) −3.94901 + 36.9892i −0.149579 + 1.40106i
\(698\) −0.901690 + 12.0322i −0.0341295 + 0.455426i
\(699\) 0.0677506 0.296835i 0.00256256 0.0112273i
\(700\) −0.568036 + 0.222938i −0.0214697 + 0.00842625i
\(701\) −0.464547 6.19895i −0.0175457 0.234131i −0.999081 0.0428523i \(-0.986356\pi\)
0.981536 0.191279i \(-0.0612635\pi\)
\(702\) 0.201656 1.33790i 0.00761100 0.0504957i
\(703\) 38.7666 + 41.7805i 1.46211 + 1.57578i
\(704\) −19.6494 40.8024i −0.740565 1.53780i
\(705\) 0.0680377 + 0.0463873i 0.00256245 + 0.00174705i
\(706\) −7.74360 + 19.7304i −0.291434 + 0.742563i
\(707\) 0.0656270 0.212757i 0.00246816 0.00800157i
\(708\) −0.500623 + 0.539544i −0.0188146 + 0.0202773i
\(709\) 8.51527 6.79070i 0.319798 0.255030i −0.450412 0.892821i \(-0.648723\pi\)
0.770210 + 0.637791i \(0.220151\pi\)
\(710\) 9.48951 + 11.8995i 0.356135 + 0.446579i
\(711\) −12.1749 + 13.1214i −0.456593 + 0.492090i
\(712\) −2.78558 0.859238i −0.104394 0.0322013i
\(713\) 1.18972 3.03136i 0.0445554 0.113525i
\(714\) −0.00527219 0.00828284i −0.000197307 0.000309977i
\(715\) −42.9896 + 20.7027i −1.60772 + 0.774238i
\(716\) 42.2286 39.1824i 1.57816 1.46431i
\(717\) 0.136534 0.905843i 0.00509895 0.0338293i
\(718\) −4.00407 53.4306i −0.149431 1.99401i
\(719\) 33.9688 13.3318i 1.26682 0.497191i 0.365690 0.930737i \(-0.380833\pi\)
0.901131 + 0.433546i \(0.142738\pi\)
\(720\) 34.9733 + 7.98242i 1.30338 + 0.297487i
\(721\) 0.590839 + 0.0442772i 0.0220040 + 0.00164897i
\(722\) −39.9764 + 12.3311i −1.48777 + 0.458916i
\(723\) −0.230334 0.110923i −0.00856621 0.00412527i
\(724\) −17.9665 + 10.3730i −0.667719 + 0.385508i
\(725\) 55.3733 + 31.9698i 2.05651 + 1.18733i
\(726\) −0.356849 0.523401i −0.0132439 0.0194252i
\(727\) −1.62746 7.13036i −0.0603591 0.264450i 0.935740 0.352690i \(-0.114733\pi\)
−0.996099 + 0.0882397i \(0.971876\pi\)
\(728\) −0.00909778 0.0603598i −0.000337186 0.00223708i
\(729\) 16.7891 21.0528i 0.621817 0.779734i
\(730\) 30.1203 1.11480
\(731\) 23.4502 + 13.4570i 0.867335 + 0.497724i
\(732\) −1.01098 −0.0373670
\(733\) −16.5580 + 20.7631i −0.611585 + 0.766903i −0.987133 0.159900i \(-0.948883\pi\)
0.375548 + 0.926803i \(0.377454\pi\)
\(734\) 0.212123 + 1.40735i 0.00782962 + 0.0519461i
\(735\) −0.209002 0.915699i −0.00770917 0.0337761i
\(736\) 2.43972 + 3.57842i 0.0899294 + 0.131902i
\(737\) −17.2903 9.98258i −0.636897 0.367713i
\(738\) 48.6805 28.1057i 1.79195 1.03459i
\(739\) 31.4334 + 15.1375i 1.15630 + 0.556843i 0.910919 0.412584i \(-0.135374\pi\)
0.245378 + 0.969428i \(0.421088\pi\)
\(740\) 73.8891 22.7918i 2.71622 0.837842i
\(741\) −0.677217 0.0507504i −0.0248782 0.00186436i
\(742\) −0.302536 0.0690518i −0.0111064 0.00253497i
\(743\) 21.5362 8.45233i 0.790086 0.310086i 0.0642324 0.997935i \(-0.479540\pi\)
0.725854 + 0.687849i \(0.241445\pi\)
\(744\) 0.0109816 + 0.146539i 0.000402605 + 0.00537239i
\(745\) 7.56234 50.1729i 0.277063 1.83819i
\(746\) 37.4178 34.7186i 1.36996 1.27114i
\(747\) 5.13667 2.47369i 0.187941 0.0905076i
\(748\) −35.4243 + 22.5483i −1.29524 + 0.824446i
\(749\) 0.0676125 0.172274i 0.00247051 0.00629475i
\(750\) 0.910821 + 0.280951i 0.0332585 + 0.0102589i
\(751\) 8.08525 8.71383i 0.295035 0.317972i −0.568086