Properties

Label 731.2.z.a.67.11
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 67.11
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.11

$q$-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} +(-4.04668 - 0.790184i) 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} +(6.52580 - 5.54989i) 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} +(-0.00652947 + 0.150907i) 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} +(0.301424 + 9.54809i) 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 0.987199 0.159491i \(-0.0509854\pi\)
−0.990352 + 0.138577i \(0.955747\pi\)
\(4\) −0.515560 2.25882i −0.257780 1.12941i
\(5\) −2.06352 3.02662i −0.922832 1.35355i −0.935387 0.353625i \(-0.884949\pi\)
0.0125551 0.999921i \(-0.496003\pi\)
\(6\) 0.0659185 + 0.0380581i 0.0269111 + 0.0155371i
\(7\) 0.0270939 0.0156427i 0.0102405 0.00591237i −0.494871 0.868966i \(-0.664785\pi\)
0.505112 + 0.863054i \(0.331451\pi\)
\(8\) 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 −0.479421 0.877585i \(-0.659153\pi\)
−0.812713 + 0.582664i \(0.802010\pi\)
\(12\) −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
\(17\) −4.04668 0.790184i −0.981464 0.191648i
\(18\) −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 −0.769819 0.638263i \(-0.779653\pi\)
0.694007 + 0.719969i \(0.255844\pi\)
\(24\) 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 \(0.296756\pi\)
−0.806205 + 0.591636i \(0.798482\pi\)
\(30\) −0.0208365 0.278044i −0.00380421 0.0507636i
\(31\) −5.67094 + 2.22568i −1.01853 + 0.399744i −0.815085 0.579342i \(-0.803310\pi\)
−0.203447 + 0.979086i \(0.565214\pi\)
\(32\) −1.80291 + 7.89906i −0.318712 + 1.39637i
\(33\) −0.0120342 + 0.160585i −0.00209489 + 0.0279543i
\(34\) 6.52580 5.54989i 1.11917 0.951798i
\(35\) −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 −0.317227 0.948350i \(-0.602752\pi\)
−0.979908 + 0.199448i \(0.936085\pi\)
\(38\) −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 0.993296 0.115601i \(-0.0368795\pi\)
0.108326 + 0.994115i \(0.465451\pi\)
\(42\) 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
\(51\) −0.00652947 + 0.150907i −0.000914308 + 0.0211312i
\(52\) 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 0.946171 0.323667i \(-0.104916\pi\)
0.473443 + 0.880824i \(0.343011\pi\)
\(62\) 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 \(0.684725\pi\)
\(68\) 0.301424 + 9.54809i 0.0365531 + 1.15788i
\(69\) 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 0.808584 0.588381i \(-0.200234\pi\)
−0.647161 + 0.762353i \(0.724044\pi\)
\(72\) 1.95238 + 0.294274i 0.230090 + 0.0346805i
\(73\) 3.94643 0.295744i 0.461895 0.0346142i 0.158249 0.987399i \(-0.449415\pi\)
0.303646 + 0.952785i \(0.401796\pi\)
\(74\) 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 −0.180161 0.983637i \(-0.557662\pi\)
0.761774 + 0.647842i \(0.224328\pi\)
\(80\) −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 0.312366 0.949962i \(-0.398878\pi\)
−0.130741 + 0.991417i \(0.541736\pi\)
\(98\) −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 \(0.377108\pi\)
\(102\) −0.236678 0.206097i −0.0234346 0.0204066i
\(103\) −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 −0.373906 0.927467i \(-0.621982\pi\)
0.821011 + 0.570912i \(0.193410\pi\)
\(108\) −0.398076 + 0.317455i −0.0383049 + 0.0305471i
\(109\) −11.2157 + 12.0876i −1.07427 + 1.15779i −0.0874137 + 0.996172i \(0.527860\pi\)
−0.986854 + 0.161613i \(0.948330\pi\)
\(110\) −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 \(0.0299871\pi\)
−0.547180 + 0.837015i \(0.684299\pi\)
\(114\) 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
\(119\) −0.122001 + 0.0418916i −0.0111838 + 0.00384020i
\(120\) −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 0.562040 0.827110i \(-0.310017\pi\)
−0.681307 + 0.731998i \(0.738588\pi\)
\(132\) 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
\(136\) −2.17488 1.62484i −0.186494 0.139329i
\(137\) 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 −0.555097 0.831786i \(-0.687319\pi\)
−0.672868 + 0.739762i \(0.734938\pi\)
\(140\) −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
\(153\) −12.2939 + 1.31251i −0.993904 + 0.106111i
\(154\) 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 \(-0.917584\pi\)
0.654470 0.756088i \(-0.272892\pi\)
\(164\) 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 0.982745 0.184967i \(-0.0592177\pi\)
−0.531218 + 0.847235i \(0.678265\pi\)
\(168\) −0.000167926 0 0.000735731i −1.29557e−5 0 5.67628e-5i
\(169\) 4.17195 0.628821i 0.320919 0.0483708i
\(170\) −30.2635 8.29885i −2.32111 0.636493i
\(171\) 18.7590 1.43454
\(172\) 9.87310 + 11.5476i 0.752817 + 0.880499i
\(173\) 14.1223i 1.07370i 0.843678 + 0.536849i \(0.180386\pi\)
−0.843678 + 0.536849i \(0.819614\pi\)
\(174\) −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 \(0.0127480\pi\)
−0.803022 + 0.595950i \(0.796776\pi\)
\(182\) −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
\(187\) 16.5692 + 7.34458i 1.21166 + 0.537089i
\(188\) −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 −0.729613 0.683860i \(-0.760300\pi\)
0.504360 + 0.863494i \(0.331729\pi\)
\(194\) −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 −0.147326 0.989088i \(-0.547067\pi\)
−0.780748 + 0.624846i \(0.785162\pi\)
\(198\) 15.4276 22.6282i 1.09640 1.60812i
\(199\) −6.04482 12.5522i −0.428506 0.889802i −0.997712 0.0676072i \(-0.978464\pi\)
0.569206 0.822195i \(-0.307251\pi\)
\(200\) −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
\(204\) 0.344237 0.0630526i 0.0241014 0.00441457i
\(205\) 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 −0.311071 0.950387i \(-0.600688\pi\)
0.132092 + 0.991238i \(0.457831\pi\)
\(212\) −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
\(221\) 1.43886 12.1328i 0.0967882 0.816142i
\(222\) −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 −0.974209 0.225646i \(-0.927551\pi\)
−0.560668 + 0.828041i \(0.689456\pi\)
\(228\) −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 0.604959 0.796257i \(-0.293190\pi\)
−0.0981261 + 0.995174i \(0.531285\pi\)
\(234\) −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
\(238\) 0.0899943 0.252449i 0.00583346 0.0163638i
\(239\) −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 −0.678487 0.734613i \(-0.737364\pi\)
0.931711 + 0.363202i \(0.118316\pi\)
\(242\) −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
\(255\) 0.470211 0.291636i 0.0294458 0.0182630i
\(256\) 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 0.964344 0.264652i \(-0.0852571\pi\)
0.754016 + 0.656856i \(0.228114\pi\)
\(270\) −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 \(-0.105123\pi\)
\(272\) −13.0264 + 3.40899i −0.789842 + 0.206700i
\(273\) 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 −0.828580 0.559871i \(-0.810851\pi\)
0.999991 + 0.00416861i \(0.00132691\pi\)
\(278\) 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 0.435767 0.900060i \(-0.356477\pi\)
−0.292757 + 0.956187i \(0.594573\pi\)
\(284\) 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
\(289\) 15.7512 + 6.39525i 0.926542 + 0.376191i
\(290\) −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
\(306\) 13.7939 21.6708i 0.788544 1.23884i
\(307\) 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 0.0665103 0.997786i \(-0.478813\pi\)
−0.0829448 + 0.996554i \(0.526433\pi\)
\(312\) 0.0696865 + 0.0159055i 0.00394522 + 0.000900471i
\(313\) −31.8943 + 12.5176i −1.80277 + 0.707536i −0.810160 + 0.586208i \(0.800620\pi\)
−0.992612 + 0.121328i \(0.961285\pi\)
\(314\) 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 \(-0.917612\pi\)
0.402611 0.915371i \(-0.368103\pi\)
\(318\) 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
\(323\) −22.7335 12.1854i −1.26493 0.678015i
\(324\) −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 \(-0.320962\pi\)
0.999245 0.0388559i \(-0.0123713\pi\)
\(338\) −4.38302 + 7.59162i −0.238405 + 0.412929i
\(339\) 0.332517 0.226706i 0.0180598 0.0123130i
\(340\) 28.2765 20.6149i 1.53351 1.11800i
\(341\) 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 \(0.0739927\pi\)
−0.861970 + 0.506960i \(0.830769\pi\)
\(348\) −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
\(357\) 0.00218367 + 0.00419079i 0.000115572 + 0.000221800i
\(358\) −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 −0.745095 0.666958i \(-0.767596\pi\)
0.720774 + 0.693170i \(0.243786\pi\)
\(368\) −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 \(0.767041\pi\)
\(374\) −33.3951 + 17.4010i −1.72682 + 0.899785i
\(375\) −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 \(-0.637575\pi\)
0.971102 0.238667i \(-0.0767103\pi\)
\(380\) −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
\(391\) 1.78093 1.29838i 0.0900654 0.0656621i
\(392\) −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 −0.279378 0.960181i \(-0.590128\pi\)
−0.419365 + 0.907818i \(0.637747\pi\)
\(398\) 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 −0.995377 0.0960487i \(-0.969380\pi\)
0.979466 + 0.201611i \(0.0646176\pi\)
\(402\) −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
\(408\) −0.0469854 + 0.0876575i −0.00232613 + 0.00433969i
\(409\) 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 −0.327228 0.944946i \(-0.606114\pi\)
−0.704818 + 0.709388i \(0.748972\pi\)
\(420\) 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
\(425\) 18.6385 29.2818i 0.904098 1.42038i
\(426\) 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 \(-0.780570\pi\)
0.771654 0.636042i \(-0.219430\pi\)
\(432\) −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 0.991631 0.129106i \(-0.0412108\pi\)
−0.892052 + 0.451933i \(0.850735\pi\)
\(440\) −0.792310 + 10.5726i −0.0377719 + 0.504031i
\(441\) −4.67020 + 20.4615i −0.222390 + 0.974356i
\(442\) 17.8449 + 18.0546i 0.848795 + 0.858770i
\(443\) 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 \(-0.628710\pi\)
0.842955 0.537984i \(-0.180814\pi\)
\(450\) −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
\(459\) 0.229396 + 0.876566i 0.0107073 + 0.0409146i
\(460\) −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
\(476\) 0.157524 + 0.253980i 0.00722011 + 0.0116411i
\(477\) −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 −0.285057 0.958510i \(-0.592013\pi\)
−0.972623 + 0.232388i \(0.925346\pi\)
\(480\) −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 \(0.237609\pi\)
−0.901630 + 0.432507i \(0.857629\pi\)
\(488\) 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
\(493\) 10.5153 29.4971i 0.473585 1.32848i
\(494\) −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 −0.649705 0.760186i \(-0.725108\pi\)
0.945001 + 0.327066i \(0.106060\pi\)
\(500\) −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 0.270326 0.962769i \(-0.412868\pi\)
0.410800 + 0.911725i \(0.365249\pi\)
\(504\) 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 \(0.915335\pi\)
\(510\) −0.135387 + 1.14162i −0.00599505 + 0.0505517i
\(511\) 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 \(0.0353029\pi\)
−0.260067 + 0.965591i \(0.583745\pi\)
\(522\) −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
\(527\) 24.7072 4.52552i 1.07626 0.197135i
\(528\) 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 −0.0919167 0.995767i \(-0.529299\pi\)
−0.744673 + 0.667429i \(0.767395\pi\)
\(542\) 14.2819 + 9.73721i 0.613459 + 0.418249i
\(543\) 0.295546 0.142327i 0.0126831 0.00610785i
\(544\) 13.5375 30.5403i 0.580416 1.30941i
\(545\) 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 −0.951791 0.306747i \(-0.900760\pi\)
−0.489072 + 0.872244i \(0.662664\pi\)
\(548\) 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
\(561\) 0.175591 0.640328i 0.00741344 0.0270347i
\(562\) 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 −0.253623 0.967303i \(-0.581622\pi\)
0.472014 + 0.881591i \(0.343527\pi\)
\(572\) −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 \(0.101294\pi\)
\(578\) −30.7933 + 17.3020i −1.28083 + 0.719670i
\(579\) 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
\(595\) 0.378541 + 0.282806i 0.0155186 + 0.0115939i
\(596\) −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 \(-0.933245\pi\)
0.978090 0.208183i \(-0.0667550\pi\)
\(602\) −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 0.936173 0.351540i \(-0.114342\pi\)
−0.669262 + 0.743026i \(0.733390\pi\)
\(608\) −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
\(612\) 9.30298 + 27.0930i 0.376051 + 1.09517i
\(613\) 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 0.986446 0.164088i \(-0.0524681\pi\)
−0.237346 + 0.971425i \(0.576278\pi\)
\(618\) −0.625453 1.29877i −0.0251594 0.0522440i
\(619\) −23.3980 + 34.3186i −0.940445 + 1.37938i −0.0152513 + 0.999884i \(0.504855\pi\)
−0.925194 + 0.379496i \(0.876098\pi\)
\(620\) 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
\(629\) 28.3294 + 24.6689i 1.12957 + 0.983613i
\(630\) 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 0.358998 0.933338i \(-0.383118\pi\)
0.728407 + 0.685145i \(0.240261\pi\)
\(642\) 0.445233 0.0671080i 0.0175719 0.00264854i
\(643\) −0.995529 0.793908i −0.0392598 0.0313087i 0.603663 0.797239i \(-0.293707\pi\)
−0.642923 + 0.765931i \(0.722279\pi\)
\(644\) 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 −0.646832 0.762632i \(-0.723907\pi\)
0.999543 + 0.0302202i \(0.00962085\pi\)
\(654\) −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
\(663\) −0.447372 + 0.0141231i −0.0173745 + 0.000548496i
\(664\) 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 \(0.0939160\pi\)
0.218470 + 0.975844i \(0.429894\pi\)
\(674\) −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 −0.754490 0.656311i \(-0.772116\pi\)
−0.964535 + 0.263955i \(0.914973\pi\)
\(678\) −0.0624871 + 0.833832i −0.00239980 + 0.0320231i
\(679\) 0.0548522 0.0169197i 0.00210504 0.000649317i
\(680\) −0.429888 + 9.93542i −0.0164854 + 0.381006i
\(681\) 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 0.989486 0.144629i \(-0.0461988\pi\)
−0.496131 + 0.868248i \(0.665246\pi\)
\(684\) −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 \(-0.763827\pi\)
0.505220 0.862991i \(-0.331412\pi\)
\(692\) 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
\(697\) −24.0996 28.3373i −0.912836 1.07335i
\(698\) −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 −0.770210 0.637791i \(-0.779849\pi\)
0.450412 + 0.892821i \(0.351277\pi\)
\(710\) 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
\(714\) −0.00963642 0.00188168i −0.000360634 7.04201e-5i
\(715\) −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 −0.901131 0.433546i \(-0.857262\pi\)
−0.365690 + 0.930737i \(0.619167\pi\)
\(720\) −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
\(731\) 25.9069 7.73499i 0.958203 0.286089i
\(732\) −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 −0.725854 0.687849i \(-0.758555\pi\)
−0.0642324 + 0.997935i \(0.520460\pi\)
\(744\) 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
\(748\) 8.04763 41.2134i 0.294251 1.50691i
\(749\) 0.0676125 0.172274i 0.00247051 0.00629475i
\(750\) 0.910821 + 0.280951i 0.0332585 + 0.0102589i
\(751\) −8.08525 + 8.71383i −0.295035 +