Properties

Label 260.2.p.d.103.8
Level $260$
Weight $2$
Character 260.103
Analytic conductor $2.076$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.p (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 103.8
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.10269 + 0.885485i) q^{2} +(-1.59124 + 1.59124i) q^{3} +(0.431834 - 1.95282i) q^{4} +(-0.349775 + 2.20854i) q^{5} +(0.345619 - 3.16365i) q^{6} +(-1.15539 + 1.15539i) q^{7} +(1.25302 + 2.53573i) q^{8} -2.06407i q^{9} +O(q^{10})\) \(q+(-1.10269 + 0.885485i) q^{2} +(-1.59124 + 1.59124i) q^{3} +(0.431834 - 1.95282i) q^{4} +(-0.349775 + 2.20854i) q^{5} +(0.345619 - 3.16365i) q^{6} +(-1.15539 + 1.15539i) q^{7} +(1.25302 + 2.53573i) q^{8} -2.06407i q^{9} +(-1.56994 - 2.74505i) q^{10} -1.00150 q^{11} +(2.42026 + 3.79455i) q^{12} +(-3.36895 + 1.28460i) q^{13} +(0.250952 - 2.29711i) q^{14} +(-2.95774 - 4.07089i) q^{15} +(-3.62704 - 1.68659i) q^{16} +(3.12166 - 3.12166i) q^{17} +(1.82770 + 2.27602i) q^{18} -5.00790i q^{19} +(4.16185 + 1.63677i) q^{20} -3.67700i q^{21} +(1.10434 - 0.886815i) q^{22} +(1.24973 - 1.24973i) q^{23} +(-6.02880 - 2.04110i) q^{24} +(-4.75531 - 1.54499i) q^{25} +(2.57740 - 4.39966i) q^{26} +(-1.48928 - 1.48928i) q^{27} +(1.75734 + 2.75521i) q^{28} +8.31301i q^{29} +(6.86617 + 1.86988i) q^{30} +0.288879 q^{31} +(5.49294 - 1.35191i) q^{32} +(1.59363 - 1.59363i) q^{33} +(-0.678029 + 6.20640i) q^{34} +(-2.14760 - 2.95585i) q^{35} +(-4.03077 - 0.891335i) q^{36} +(-3.74705 - 3.74705i) q^{37} +(4.43442 + 5.52214i) q^{38} +(3.31670 - 7.40489i) q^{39} +(-6.03855 + 1.88041i) q^{40} -5.64607i q^{41} +(3.25593 + 4.05458i) q^{42} +(-7.56234 + 7.56234i) q^{43} +(-0.432483 + 1.95576i) q^{44} +(4.55859 + 0.721961i) q^{45} +(-0.271444 + 2.48468i) q^{46} +(-3.67990 + 3.67990i) q^{47} +(8.45524 - 3.08772i) q^{48} +4.33015i q^{49} +(6.61168 - 2.50712i) q^{50} +9.93461i q^{51} +(1.05376 + 7.13369i) q^{52} +(5.06483 + 5.06483i) q^{53} +(2.96095 + 0.323475i) q^{54} +(0.350301 - 2.21186i) q^{55} +(-4.37749 - 1.48204i) q^{56} +(7.96876 + 7.96876i) q^{57} +(-7.36105 - 9.16664i) q^{58} +13.0878i q^{59} +(-9.22698 + 4.01800i) q^{60} -7.36625 q^{61} +(-0.318543 + 0.255798i) q^{62} +(2.38481 + 2.38481i) q^{63} +(-4.85989 + 6.35464i) q^{64} +(-1.65871 - 7.88978i) q^{65} +(-0.346138 + 3.16841i) q^{66} +(4.73121 - 4.73121i) q^{67} +(-4.74802 - 7.44409i) q^{68} +3.97725i q^{69} +(4.98549 + 1.35771i) q^{70} -4.14895 q^{71} +(5.23393 - 2.58632i) q^{72} +(-6.49166 + 6.49166i) q^{73} +(7.44977 + 0.813864i) q^{74} +(10.0253 - 5.10839i) q^{75} +(-9.77955 - 2.16258i) q^{76} +(1.15713 - 1.15713i) q^{77} +(2.89964 + 11.1022i) q^{78} +13.9090 q^{79} +(4.99355 - 7.42054i) q^{80} +10.9318 q^{81} +(4.99951 + 6.22585i) q^{82} +(1.78063 + 1.78063i) q^{83} +(-7.18053 - 1.58785i) q^{84} +(5.80244 + 7.98620i) q^{85} +(1.64255 - 15.0352i) q^{86} +(-13.2280 - 13.2280i) q^{87} +(-1.25490 - 2.53954i) q^{88} -12.4897 q^{89} +(-5.66598 + 3.24046i) q^{90} +(2.40824 - 5.37666i) q^{91} +(-1.90083 - 2.98019i) q^{92} +(-0.459675 + 0.459675i) q^{93} +(0.799279 - 7.31627i) q^{94} +(11.0602 + 1.75164i) q^{95} +(-6.58935 + 10.8918i) q^{96} +(-2.03795 - 2.03795i) q^{97} +(-3.83428 - 4.77479i) q^{98} +2.06717i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.10269 + 0.885485i −0.779717 + 0.626132i
\(3\) −1.59124 + 1.59124i −0.918701 + 0.918701i −0.996935 0.0782339i \(-0.975072\pi\)
0.0782339 + 0.996935i \(0.475072\pi\)
\(4\) 0.431834 1.95282i 0.215917 0.976412i
\(5\) −0.349775 + 2.20854i −0.156424 + 0.987690i
\(6\) 0.345619 3.16365i 0.141098 1.29156i
\(7\) −1.15539 + 1.15539i −0.436696 + 0.436696i −0.890899 0.454202i \(-0.849924\pi\)
0.454202 + 0.890899i \(0.349924\pi\)
\(8\) 1.25302 + 2.53573i 0.443009 + 0.896517i
\(9\) 2.06407i 0.688024i
\(10\) −1.56994 2.74505i −0.496458 0.868061i
\(11\) −1.00150 −0.301964 −0.150982 0.988536i \(-0.548244\pi\)
−0.150982 + 0.988536i \(0.548244\pi\)
\(12\) 2.42026 + 3.79455i 0.698668 + 1.09539i
\(13\) −3.36895 + 1.28460i −0.934378 + 0.356283i
\(14\) 0.250952 2.29711i 0.0670698 0.613929i
\(15\) −2.95774 4.07089i −0.763685 1.05110i
\(16\) −3.62704 1.68659i −0.906760 0.421647i
\(17\) 3.12166 3.12166i 0.757114 0.757114i −0.218682 0.975796i \(-0.570176\pi\)
0.975796 + 0.218682i \(0.0701758\pi\)
\(18\) 1.82770 + 2.27602i 0.430794 + 0.536464i
\(19\) 5.00790i 1.14889i −0.818543 0.574446i \(-0.805218\pi\)
0.818543 0.574446i \(-0.194782\pi\)
\(20\) 4.16185 + 1.63677i 0.930618 + 0.365993i
\(21\) 3.67700i 0.802387i
\(22\) 1.10434 0.886815i 0.235447 0.189070i
\(23\) 1.24973 1.24973i 0.260588 0.260588i −0.564705 0.825293i \(-0.691010\pi\)
0.825293 + 0.564705i \(0.191010\pi\)
\(24\) −6.02880 2.04110i −1.23062 0.416639i
\(25\) −4.75531 1.54499i −0.951063 0.308997i
\(26\) 2.57740 4.39966i 0.505470 0.862844i
\(27\) −1.48928 1.48928i −0.286613 0.286613i
\(28\) 1.75734 + 2.75521i 0.332105 + 0.520686i
\(29\) 8.31301i 1.54369i 0.635812 + 0.771844i \(0.280665\pi\)
−0.635812 + 0.771844i \(0.719335\pi\)
\(30\) 6.86617 + 1.86988i 1.25358 + 0.341392i
\(31\) 0.288879 0.0518842 0.0259421 0.999663i \(-0.491741\pi\)
0.0259421 + 0.999663i \(0.491741\pi\)
\(32\) 5.49294 1.35191i 0.971023 0.238986i
\(33\) 1.59363 1.59363i 0.277415 0.277415i
\(34\) −0.678029 + 6.20640i −0.116281 + 1.06439i
\(35\) −2.14760 2.95585i −0.363011 0.499631i
\(36\) −4.03077 0.891335i −0.671794 0.148556i
\(37\) −3.74705 3.74705i −0.616011 0.616011i 0.328495 0.944506i \(-0.393459\pi\)
−0.944506 + 0.328495i \(0.893459\pi\)
\(38\) 4.43442 + 5.52214i 0.719358 + 0.895810i
\(39\) 3.31670 7.40489i 0.531097 1.18573i
\(40\) −6.03855 + 1.88041i −0.954778 + 0.297319i
\(41\) 5.64607i 0.881769i −0.897564 0.440884i \(-0.854665\pi\)
0.897564 0.440884i \(-0.145335\pi\)
\(42\) 3.25593 + 4.05458i 0.502400 + 0.625635i
\(43\) −7.56234 + 7.56234i −1.15325 + 1.15325i −0.167349 + 0.985898i \(0.553521\pi\)
−0.985898 + 0.167349i \(0.946479\pi\)
\(44\) −0.432483 + 1.95576i −0.0651992 + 0.294842i
\(45\) 4.55859 + 0.721961i 0.679554 + 0.107624i
\(46\) −0.271444 + 2.48468i −0.0400222 + 0.366347i
\(47\) −3.67990 + 3.67990i −0.536768 + 0.536768i −0.922578 0.385810i \(-0.873922\pi\)
0.385810 + 0.922578i \(0.373922\pi\)
\(48\) 8.45524 3.08772i 1.22041 0.445673i
\(49\) 4.33015i 0.618592i
\(50\) 6.61168 2.50712i 0.935033 0.354561i
\(51\) 9.93461i 1.39112i
\(52\) 1.05376 + 7.13369i 0.146131 + 0.989265i
\(53\) 5.06483 + 5.06483i 0.695708 + 0.695708i 0.963482 0.267774i \(-0.0862881\pi\)
−0.267774 + 0.963482i \(0.586288\pi\)
\(54\) 2.96095 + 0.323475i 0.402935 + 0.0440193i
\(55\) 0.350301 2.21186i 0.0472345 0.298247i
\(56\) −4.37749 1.48204i −0.584966 0.198045i
\(57\) 7.96876 + 7.96876i 1.05549 + 1.05549i
\(58\) −7.36105 9.16664i −0.966553 1.20364i
\(59\) 13.0878i 1.70389i 0.523630 + 0.851946i \(0.324577\pi\)
−0.523630 + 0.851946i \(0.675423\pi\)
\(60\) −9.22698 + 4.01800i −1.19120 + 0.518721i
\(61\) −7.36625 −0.943152 −0.471576 0.881826i \(-0.656315\pi\)
−0.471576 + 0.881826i \(0.656315\pi\)
\(62\) −0.318543 + 0.255798i −0.0404550 + 0.0324864i
\(63\) 2.38481 + 2.38481i 0.300457 + 0.300457i
\(64\) −4.85989 + 6.35464i −0.607486 + 0.794330i
\(65\) −1.65871 7.88978i −0.205737 0.978607i
\(66\) −0.346138 + 3.16841i −0.0426067 + 0.390004i
\(67\) 4.73121 4.73121i 0.578009 0.578009i −0.356346 0.934354i \(-0.615977\pi\)
0.934354 + 0.356346i \(0.115977\pi\)
\(68\) −4.74802 7.44409i −0.575781 0.902729i
\(69\) 3.97725i 0.478804i
\(70\) 4.98549 + 1.35771i 0.595880 + 0.162278i
\(71\) −4.14895 −0.492390 −0.246195 0.969220i \(-0.579180\pi\)
−0.246195 + 0.969220i \(0.579180\pi\)
\(72\) 5.23393 2.58632i 0.616825 0.304801i
\(73\) −6.49166 + 6.49166i −0.759792 + 0.759792i −0.976284 0.216493i \(-0.930538\pi\)
0.216493 + 0.976284i \(0.430538\pi\)
\(74\) 7.44977 + 0.813864i 0.866018 + 0.0946098i
\(75\) 10.0253 5.10839i 1.15762 0.589867i
\(76\) −9.77955 2.16258i −1.12179 0.248065i
\(77\) 1.15713 1.15713i 0.131867 0.131867i
\(78\) 2.89964 + 11.1022i 0.328320 + 1.25707i
\(79\) 13.9090 1.56489 0.782443 0.622723i \(-0.213974\pi\)
0.782443 + 0.622723i \(0.213974\pi\)
\(80\) 4.99355 7.42054i 0.558296 0.829642i
\(81\) 10.9318 1.21465
\(82\) 4.99951 + 6.22585i 0.552104 + 0.687530i
\(83\) 1.78063 + 1.78063i 0.195449 + 0.195449i 0.798046 0.602597i \(-0.205867\pi\)
−0.602597 + 0.798046i \(0.705867\pi\)
\(84\) −7.18053 1.58785i −0.783460 0.173249i
\(85\) 5.80244 + 7.98620i 0.629363 + 0.866225i
\(86\) 1.64255 15.0352i 0.177121 1.62129i
\(87\) −13.2280 13.2280i −1.41819 1.41819i
\(88\) −1.25490 2.53954i −0.133773 0.270716i
\(89\) −12.4897 −1.32390 −0.661951 0.749547i \(-0.730271\pi\)
−0.661951 + 0.749547i \(0.730271\pi\)
\(90\) −5.66598 + 3.24046i −0.597246 + 0.341575i
\(91\) 2.40824 5.37666i 0.252452 0.563627i
\(92\) −1.90083 2.98019i −0.198176 0.310706i
\(93\) −0.459675 + 0.459675i −0.0476661 + 0.0476661i
\(94\) 0.799279 7.31627i 0.0824394 0.754615i
\(95\) 11.0602 + 1.75164i 1.13475 + 0.179714i
\(96\) −6.58935 + 10.8918i −0.672523 + 1.11164i
\(97\) −2.03795 2.03795i −0.206923 0.206923i 0.596035 0.802958i \(-0.296742\pi\)
−0.802958 + 0.596035i \(0.796742\pi\)
\(98\) −3.83428 4.77479i −0.387321 0.482327i
\(99\) 2.06717i 0.207759i
\(100\) −5.07059 + 8.61911i −0.507059 + 0.861911i
\(101\) 3.87660 0.385736 0.192868 0.981225i \(-0.438221\pi\)
0.192868 + 0.981225i \(0.438221\pi\)
\(102\) −8.79694 10.9548i −0.871027 1.08468i
\(103\) 0.0173781 0.0173781i 0.00171232 0.00171232i −0.706250 0.707962i \(-0.749615\pi\)
0.707962 + 0.706250i \(0.249615\pi\)
\(104\) −7.47875 6.93313i −0.733351 0.679850i
\(105\) 8.12081 + 1.28612i 0.792510 + 0.125513i
\(106\) −10.0697 1.10009i −0.978060 0.106850i
\(107\) −6.11504 6.11504i −0.591163 0.591163i 0.346782 0.937946i \(-0.387274\pi\)
−0.937946 + 0.346782i \(0.887274\pi\)
\(108\) −3.55143 + 2.26519i −0.341737 + 0.217968i
\(109\) 4.74580 0.454565 0.227283 0.973829i \(-0.427016\pi\)
0.227283 + 0.973829i \(0.427016\pi\)
\(110\) 1.57230 + 2.74917i 0.149913 + 0.262123i
\(111\) 11.9249 1.13186
\(112\) 6.13931 2.24198i 0.580111 0.211847i
\(113\) −6.72237 6.72237i −0.632387 0.632387i 0.316279 0.948666i \(-0.397566\pi\)
−0.948666 + 0.316279i \(0.897566\pi\)
\(114\) −15.8433 1.73083i −1.48386 0.162107i
\(115\) 2.32296 + 3.19722i 0.216618 + 0.298142i
\(116\) 16.2338 + 3.58984i 1.50727 + 0.333308i
\(117\) 2.65150 + 6.95375i 0.245131 + 0.642874i
\(118\) −11.5891 14.4318i −1.06686 1.32855i
\(119\) 7.21347i 0.661258i
\(120\) 6.61659 12.6009i 0.604009 1.15030i
\(121\) −9.99699 −0.908817
\(122\) 8.12266 6.52270i 0.735391 0.590538i
\(123\) 8.98424 + 8.98424i 0.810082 + 0.810082i
\(124\) 0.124748 0.564130i 0.0112027 0.0506604i
\(125\) 5.07546 9.96191i 0.453963 0.891021i
\(126\) −4.74140 0.517984i −0.422398 0.0461456i
\(127\) 2.66972 + 2.66972i 0.236899 + 0.236899i 0.815565 0.578666i \(-0.196426\pi\)
−0.578666 + 0.815565i \(0.696426\pi\)
\(128\) −0.268006 11.3105i −0.0236886 0.999719i
\(129\) 24.0670i 2.11898i
\(130\) 8.81532 + 7.23119i 0.773155 + 0.634218i
\(131\) 18.7764i 1.64050i 0.572005 + 0.820250i \(0.306166\pi\)
−0.572005 + 0.820250i \(0.693834\pi\)
\(132\) −2.42389 3.80026i −0.210973 0.330770i
\(133\) 5.78608 + 5.78608i 0.501717 + 0.501717i
\(134\) −1.02762 + 9.40644i −0.0887732 + 0.812593i
\(135\) 3.81006 2.76823i 0.327918 0.238252i
\(136\) 11.8272 + 4.00420i 1.01417 + 0.343357i
\(137\) 0.875109 + 0.875109i 0.0747656 + 0.0747656i 0.743501 0.668735i \(-0.233164\pi\)
−0.668735 + 0.743501i \(0.733164\pi\)
\(138\) −3.52179 4.38565i −0.299795 0.373332i
\(139\) −8.67356 −0.735681 −0.367841 0.929889i \(-0.619903\pi\)
−0.367841 + 0.929889i \(0.619903\pi\)
\(140\) −6.69967 + 2.91745i −0.566225 + 0.246569i
\(141\) 11.7112i 0.986259i
\(142\) 4.57499 3.67384i 0.383925 0.308301i
\(143\) 3.37401 1.28653i 0.282149 0.107585i
\(144\) −3.48124 + 7.48647i −0.290103 + 0.623872i
\(145\) −18.3596 2.90768i −1.52468 0.241470i
\(146\) 1.41000 12.9065i 0.116692 1.06815i
\(147\) −6.89029 6.89029i −0.568302 0.568302i
\(148\) −8.93542 + 5.69922i −0.734487 + 0.468473i
\(149\) −5.04127 −0.412997 −0.206499 0.978447i \(-0.566207\pi\)
−0.206499 + 0.978447i \(0.566207\pi\)
\(150\) −6.53132 + 14.5102i −0.533280 + 1.18475i
\(151\) 12.6118 1.02634 0.513168 0.858288i \(-0.328472\pi\)
0.513168 + 0.858288i \(0.328472\pi\)
\(152\) 12.6987 6.27499i 1.03000 0.508969i
\(153\) −6.44333 6.44333i −0.520912 0.520912i
\(154\) −0.251330 + 2.30057i −0.0202527 + 0.185385i
\(155\) −0.101043 + 0.638002i −0.00811595 + 0.0512456i
\(156\) −13.0282 9.67461i −1.04309 0.774589i
\(157\) −8.48528 + 8.48528i −0.677199 + 0.677199i −0.959365 0.282167i \(-0.908947\pi\)
0.282167 + 0.959365i \(0.408947\pi\)
\(158\) −15.3373 + 12.3162i −1.22017 + 0.979825i
\(159\) −16.1187 −1.27829
\(160\) 1.06446 + 12.6042i 0.0841527 + 0.996453i
\(161\) 2.88786i 0.227595i
\(162\) −12.0544 + 9.67996i −0.947081 + 0.760530i
\(163\) −7.33086 7.33086i −0.574198 0.574198i 0.359101 0.933299i \(-0.383083\pi\)
−0.933299 + 0.359101i \(0.883083\pi\)
\(164\) −11.0258 2.43816i −0.860969 0.190389i
\(165\) 2.96218 + 4.07701i 0.230606 + 0.317395i
\(166\) −3.54019 0.386755i −0.274772 0.0300180i
\(167\) −13.5670 + 13.5670i −1.04985 + 1.04985i −0.0511560 + 0.998691i \(0.516291\pi\)
−0.998691 + 0.0511560i \(0.983709\pi\)
\(168\) 9.32389 4.60735i 0.719354 0.355465i
\(169\) 9.69963 8.65547i 0.746125 0.665806i
\(170\) −13.4699 3.66830i −1.03310 0.281346i
\(171\) −10.3367 −0.790464
\(172\) 11.5022 + 18.0336i 0.877038 + 1.37505i
\(173\) 1.85755 + 1.85755i 0.141227 + 0.141227i 0.774186 0.632959i \(-0.218160\pi\)
−0.632959 + 0.774186i \(0.718160\pi\)
\(174\) 26.2995 + 2.87313i 1.99376 + 0.217812i
\(175\) 7.27931 3.70918i 0.550264 0.280388i
\(176\) 3.63249 + 1.68912i 0.273809 + 0.127323i
\(177\) −20.8258 20.8258i −1.56537 1.56537i
\(178\) 13.7722 11.0594i 1.03227 0.828938i
\(179\) 24.8021 1.85379 0.926896 0.375318i \(-0.122466\pi\)
0.926896 + 0.375318i \(0.122466\pi\)
\(180\) 3.37841 8.59035i 0.251812 0.640287i
\(181\) −8.00275 −0.594840 −0.297420 0.954747i \(-0.596126\pi\)
−0.297420 + 0.954747i \(0.596126\pi\)
\(182\) 2.10542 + 8.06123i 0.156064 + 0.597538i
\(183\) 11.7214 11.7214i 0.866474 0.866474i
\(184\) 4.73493 + 1.60305i 0.349064 + 0.118179i
\(185\) 9.58613 6.96489i 0.704787 0.512069i
\(186\) 0.0998422 0.913913i 0.00732078 0.0670114i
\(187\) −3.12635 + 3.12635i −0.228622 + 0.228622i
\(188\) 5.59709 + 8.77530i 0.408210 + 0.640004i
\(189\) 3.44141 0.250326
\(190\) −13.7469 + 7.86209i −0.997307 + 0.570376i
\(191\) 17.4340i 1.26148i 0.775995 + 0.630739i \(0.217248\pi\)
−0.775995 + 0.630739i \(0.782752\pi\)
\(192\) −2.37851 17.8450i −0.171654 1.28785i
\(193\) 14.2418 14.2418i 1.02514 1.02514i 0.0254690 0.999676i \(-0.491892\pi\)
0.999676 0.0254690i \(-0.00810792\pi\)
\(194\) 4.05180 + 0.442646i 0.290902 + 0.0317801i
\(195\) 15.1939 + 9.91512i 1.08806 + 0.710036i
\(196\) 8.45601 + 1.86990i 0.604001 + 0.133564i
\(197\) 14.4839 + 14.4839i 1.03193 + 1.03193i 0.999473 + 0.0324598i \(0.0103341\pi\)
0.0324598 + 0.999473i \(0.489666\pi\)
\(198\) −1.83045 2.27944i −0.130084 0.161993i
\(199\) −17.4123 −1.23432 −0.617162 0.786836i \(-0.711718\pi\)
−0.617162 + 0.786836i \(0.711718\pi\)
\(200\) −2.04083 13.9941i −0.144308 0.989533i
\(201\) 15.0569i 1.06203i
\(202\) −4.27467 + 3.43267i −0.300765 + 0.241522i
\(203\) −9.60477 9.60477i −0.674123 0.674123i
\(204\) 19.4005 + 4.29010i 1.35831 + 0.300367i
\(205\) 12.4696 + 1.97486i 0.870914 + 0.137930i
\(206\) −0.00377455 + 0.0345507i −0.000262986 + 0.00240726i
\(207\) −2.57954 2.57954i −0.179290 0.179290i
\(208\) 14.3859 + 1.02276i 0.997482 + 0.0709153i
\(209\) 5.01543i 0.346924i
\(210\) −10.0935 + 5.77266i −0.696521 + 0.398351i
\(211\) 12.6836i 0.873177i −0.899661 0.436589i \(-0.856187\pi\)
0.899661 0.436589i \(-0.143813\pi\)
\(212\) 12.0779 7.70355i 0.829512 0.529082i
\(213\) 6.60197 6.60197i 0.452360 0.452360i
\(214\) 12.1577 + 1.32820i 0.831086 + 0.0907936i
\(215\) −14.0566 19.3469i −0.958654 1.31945i
\(216\) 1.91033 5.64253i 0.129981 0.383926i
\(217\) −0.333768 + 0.333768i −0.0226577 + 0.0226577i
\(218\) −5.23313 + 4.20234i −0.354432 + 0.284618i
\(219\) 20.6595i 1.39604i
\(220\) −4.16810 1.63923i −0.281013 0.110517i
\(221\) −6.50664 + 14.5268i −0.437684 + 0.977178i
\(222\) −13.1494 + 10.5593i −0.882530 + 0.708694i
\(223\) 10.1526 + 10.1526i 0.679871 + 0.679871i 0.959971 0.280100i \(-0.0903675\pi\)
−0.280100 + 0.959971i \(0.590367\pi\)
\(224\) −4.78450 + 7.90847i −0.319678 + 0.528407i
\(225\) −3.18896 + 9.81531i −0.212597 + 0.654354i
\(226\) 13.3652 + 1.46011i 0.889041 + 0.0971249i
\(227\) −10.7707 + 10.7707i −0.714874 + 0.714874i −0.967551 0.252677i \(-0.918689\pi\)
0.252677 + 0.967551i \(0.418689\pi\)
\(228\) 19.0028 12.1204i 1.25849 0.802693i
\(229\) 8.19357 0.541447 0.270723 0.962657i \(-0.412737\pi\)
0.270723 + 0.962657i \(0.412737\pi\)
\(230\) −5.39259 1.46858i −0.355577 0.0968351i
\(231\) 3.68253i 0.242292i
\(232\) −21.0796 + 10.4164i −1.38394 + 0.683867i
\(233\) 13.2877 + 13.2877i 0.870506 + 0.870506i 0.992527 0.122021i \(-0.0389376\pi\)
−0.122021 + 0.992527i \(0.538938\pi\)
\(234\) −9.08121 5.31994i −0.593657 0.347776i
\(235\) −6.84007 9.41435i −0.446197 0.614124i
\(236\) 25.5582 + 5.65177i 1.66370 + 0.367899i
\(237\) −22.1325 + 22.1325i −1.43766 + 1.43766i
\(238\) −6.38742 7.95420i −0.414035 0.515594i
\(239\) 17.2458i 1.11554i −0.829996 0.557770i \(-0.811657\pi\)
0.829996 0.557770i \(-0.188343\pi\)
\(240\) 3.86192 + 19.7538i 0.249286 + 1.27510i
\(241\) 19.8540i 1.27891i 0.768829 + 0.639454i \(0.220840\pi\)
−0.768829 + 0.639454i \(0.779160\pi\)
\(242\) 11.0235 8.85218i 0.708620 0.569040i
\(243\) −12.9273 + 12.9273i −0.829285 + 0.829285i
\(244\) −3.18099 + 14.3850i −0.203642 + 0.920904i
\(245\) −9.56331 1.51458i −0.610978 0.0967628i
\(246\) −17.8622 1.95139i −1.13885 0.124416i
\(247\) 6.43313 + 16.8714i 0.409330 + 1.07350i
\(248\) 0.361971 + 0.732521i 0.0229852 + 0.0465151i
\(249\) −5.66681 −0.359119
\(250\) 3.22449 + 15.4791i 0.203934 + 0.978985i
\(251\) 11.9518i 0.754393i −0.926133 0.377197i \(-0.876888\pi\)
0.926133 0.377197i \(-0.123112\pi\)
\(252\) 5.68695 3.62727i 0.358244 0.228496i
\(253\) −1.25161 + 1.25161i −0.0786882 + 0.0786882i
\(254\) −5.30786 0.579867i −0.333045 0.0363841i
\(255\) −21.9410 3.47488i −1.37400 0.217605i
\(256\) 10.3108 + 12.2347i 0.644427 + 0.764666i
\(257\) 0.510300 0.510300i 0.0318316 0.0318316i −0.691012 0.722843i \(-0.742835\pi\)
0.722843 + 0.691012i \(0.242835\pi\)
\(258\) 21.3109 + 26.5383i 1.32676 + 1.65220i
\(259\) 8.65860 0.538019
\(260\) −16.1236 0.167908i −0.999946 0.0104132i
\(261\) 17.1586 1.06209
\(262\) −16.6262 20.7045i −1.02717 1.27913i
\(263\) −21.4699 + 21.4699i −1.32389 + 1.32389i −0.413291 + 0.910599i \(0.635621\pi\)
−0.910599 + 0.413291i \(0.864379\pi\)
\(264\) 6.03786 + 2.04417i 0.371605 + 0.125810i
\(265\) −12.9574 + 9.41433i −0.795969 + 0.578318i
\(266\) −11.5037 1.25674i −0.705338 0.0770560i
\(267\) 19.8740 19.8740i 1.21627 1.21627i
\(268\) −7.19612 11.2823i −0.439573 0.689176i
\(269\) 0.456688i 0.0278448i 0.999903 + 0.0139224i \(0.00443178\pi\)
−0.999903 + 0.0139224i \(0.995568\pi\)
\(270\) −1.75008 + 6.42625i −0.106506 + 0.391089i
\(271\) 6.62292 0.402314 0.201157 0.979559i \(-0.435530\pi\)
0.201157 + 0.979559i \(0.435530\pi\)
\(272\) −16.5874 + 6.05743i −1.00576 + 0.367286i
\(273\) 4.72346 + 12.3876i 0.285877 + 0.749733i
\(274\) −1.73987 0.190075i −0.105109 0.0114828i
\(275\) 4.76246 + 1.54731i 0.287187 + 0.0933062i
\(276\) 7.76686 + 1.71751i 0.467510 + 0.103382i
\(277\) 16.5166 16.5166i 0.992386 0.992386i −0.00758480 0.999971i \(-0.502414\pi\)
0.999971 + 0.00758480i \(0.00241434\pi\)
\(278\) 9.56421 7.68030i 0.573623 0.460634i
\(279\) 0.596267i 0.0356976i
\(280\) 4.80427 9.14948i 0.287110 0.546786i
\(281\) 8.40674i 0.501504i 0.968051 + 0.250752i \(0.0806779\pi\)
−0.968051 + 0.250752i \(0.919322\pi\)
\(282\) 10.3701 + 12.9138i 0.617529 + 0.769003i
\(283\) 2.63565 2.63565i 0.156673 0.156673i −0.624418 0.781091i \(-0.714664\pi\)
0.781091 + 0.624418i \(0.214664\pi\)
\(284\) −1.79166 + 8.10218i −0.106315 + 0.480776i
\(285\) −20.3866 + 14.8121i −1.20760 + 0.877391i
\(286\) −2.58128 + 4.40627i −0.152634 + 0.260548i
\(287\) 6.52342 + 6.52342i 0.385065 + 0.385065i
\(288\) −2.79044 11.3378i −0.164428 0.668087i
\(289\) 2.48954i 0.146443i
\(290\) 22.8196 13.0509i 1.34001 0.766376i
\(291\) 6.48573 0.380200
\(292\) 9.87375 + 15.4804i 0.577818 + 0.905921i
\(293\) 0.626995 0.626995i 0.0366294 0.0366294i −0.688555 0.725184i \(-0.741755\pi\)
0.725184 + 0.688555i \(0.241755\pi\)
\(294\) 13.6991 + 1.49658i 0.798946 + 0.0872824i
\(295\) −28.9050 4.57780i −1.68292 0.266530i
\(296\) 4.80639 14.1966i 0.279366 0.825163i
\(297\) 1.49152 + 1.49152i 0.0865469 + 0.0865469i
\(298\) 5.55894 4.46397i 0.322021 0.258591i
\(299\) −2.60489 + 5.81569i −0.150645 + 0.336330i
\(300\) −5.64654 21.7836i −0.326003 1.25767i
\(301\) 17.4749i 1.00724i
\(302\) −13.9069 + 11.1676i −0.800251 + 0.642622i
\(303\) −6.16858 + 6.16858i −0.354376 + 0.354376i
\(304\) −8.44627 + 18.1639i −0.484427 + 1.04177i
\(305\) 2.57653 16.2687i 0.147532 0.931541i
\(306\) 12.8104 + 1.39950i 0.732324 + 0.0800041i
\(307\) 18.5017 18.5017i 1.05595 1.05595i 0.0576092 0.998339i \(-0.481652\pi\)
0.998339 0.0576092i \(-0.0183477\pi\)
\(308\) −1.75998 2.75935i −0.100284 0.157229i
\(309\) 0.0553054i 0.00314622i
\(310\) −0.453523 0.792988i −0.0257583 0.0450387i
\(311\) 14.7101i 0.834135i −0.908875 0.417068i \(-0.863058\pi\)
0.908875 0.417068i \(-0.136942\pi\)
\(312\) 22.9327 0.868199i 1.29831 0.0491521i
\(313\) −24.4854 24.4854i −1.38400 1.38400i −0.837383 0.546616i \(-0.815916\pi\)
−0.546616 0.837383i \(-0.684084\pi\)
\(314\) 1.84301 16.8702i 0.104007 0.952039i
\(315\) −6.10109 + 4.43280i −0.343758 + 0.249760i
\(316\) 6.00638 27.1618i 0.337885 1.52797i
\(317\) 16.1489 + 16.1489i 0.907014 + 0.907014i 0.996030 0.0890163i \(-0.0283723\pi\)
−0.0890163 + 0.996030i \(0.528372\pi\)
\(318\) 17.7738 14.2728i 0.996708 0.800382i
\(319\) 8.32550i 0.466139i
\(320\) −12.3346 12.9560i −0.689527 0.724260i
\(321\) 19.4610 1.08620
\(322\) −2.55716 3.18440i −0.142505 0.177460i
\(323\) −15.6330 15.6330i −0.869842 0.869842i
\(324\) 4.72073 21.3479i 0.262263 1.18600i
\(325\) 18.0051 0.903678i 0.998743 0.0501270i
\(326\) 14.5750 + 1.59227i 0.807235 + 0.0881879i
\(327\) −7.55170 + 7.55170i −0.417610 + 0.417610i
\(328\) 14.3169 7.07464i 0.790521 0.390631i
\(329\) 8.50344i 0.468810i
\(330\) −6.87649 1.87269i −0.378538 0.103088i
\(331\) −28.3312 −1.55722 −0.778611 0.627507i \(-0.784075\pi\)
−0.778611 + 0.627507i \(0.784075\pi\)
\(332\) 4.24619 2.70832i 0.233040 0.148638i
\(333\) −7.73417 + 7.73417i −0.423830 + 0.423830i
\(334\) 2.94677 26.9735i 0.161240 1.47593i
\(335\) 8.79421 + 12.1039i 0.480479 + 0.661308i
\(336\) −6.20159 + 13.3366i −0.338324 + 0.727572i
\(337\) 3.62117 3.62117i 0.197258 0.197258i −0.601566 0.798823i \(-0.705456\pi\)
0.798823 + 0.601566i \(0.205456\pi\)
\(338\) −3.03136 + 18.1331i −0.164884 + 0.986313i
\(339\) 21.3938 1.16195
\(340\) 18.1013 7.88243i 0.981682 0.427485i
\(341\) −0.289313 −0.0156672
\(342\) 11.3981 9.15296i 0.616338 0.494935i
\(343\) −13.0907 13.0907i −0.706834 0.706834i
\(344\) −28.6518 9.70033i −1.54480 0.523007i
\(345\) −8.78392 1.39114i −0.472910 0.0748965i
\(346\) −3.69312 0.403462i −0.198544 0.0216903i
\(347\) −10.8781 10.8781i −0.583968 0.583968i 0.352023 0.935991i \(-0.385494\pi\)
−0.935991 + 0.352023i \(0.885494\pi\)
\(348\) −31.5442 + 20.1196i −1.69095 + 1.07852i
\(349\) −8.12287 −0.434807 −0.217404 0.976082i \(-0.569759\pi\)
−0.217404 + 0.976082i \(0.569759\pi\)
\(350\) −4.74236 + 10.5358i −0.253490 + 0.563161i
\(351\) 6.93045 + 3.10420i 0.369920 + 0.165690i
\(352\) −5.50119 + 1.35394i −0.293214 + 0.0721653i
\(353\) 18.6772 18.6772i 0.994085 0.994085i −0.00589744 0.999983i \(-0.501877\pi\)
0.999983 + 0.00589744i \(0.00187722\pi\)
\(354\) 41.4053 + 4.52340i 2.20067 + 0.240416i
\(355\) 1.45120 9.16314i 0.0770217 0.486329i
\(356\) −5.39346 + 24.3901i −0.285853 + 1.29267i
\(357\) −11.4783 11.4783i −0.607499 0.607499i
\(358\) −27.3489 + 21.9618i −1.44543 + 1.16072i
\(359\) 23.8423i 1.25835i 0.777265 + 0.629174i \(0.216607\pi\)
−0.777265 + 0.629174i \(0.783393\pi\)
\(360\) 3.88129 + 12.4640i 0.204562 + 0.656910i
\(361\) −6.07907 −0.319951
\(362\) 8.82453 7.08632i 0.463807 0.372449i
\(363\) 15.9076 15.9076i 0.834932 0.834932i
\(364\) −9.45971 7.02469i −0.495823 0.368194i
\(365\) −12.0665 16.6077i −0.631589 0.869288i
\(366\) −2.54592 + 23.3042i −0.133077 + 1.21813i
\(367\) 8.50113 + 8.50113i 0.443755 + 0.443755i 0.893272 0.449517i \(-0.148404\pi\)
−0.449517 + 0.893272i \(0.648404\pi\)
\(368\) −6.64062 + 2.42505i −0.346166 + 0.126414i
\(369\) −11.6539 −0.606678
\(370\) −4.40320 + 16.1685i −0.228911 + 0.840558i
\(371\) −11.7037 −0.607626
\(372\) 0.699162 + 1.09617i 0.0362498 + 0.0568337i
\(373\) 17.2997 + 17.2997i 0.895745 + 0.895745i 0.995056 0.0993115i \(-0.0316640\pi\)
−0.0993115 + 0.995056i \(0.531664\pi\)
\(374\) 0.679048 6.21572i 0.0351127 0.321407i
\(375\) 7.77551 + 23.9280i 0.401526 + 1.23564i
\(376\) −13.9422 4.72026i −0.719015 0.243429i
\(377\) −10.6789 28.0061i −0.549989 1.44239i
\(378\) −3.79480 + 3.04732i −0.195183 + 0.156737i
\(379\) 3.24187i 0.166524i 0.996528 + 0.0832618i \(0.0265338\pi\)
−0.996528 + 0.0832618i \(0.973466\pi\)
\(380\) 8.19679 20.8421i 0.420486 1.06918i
\(381\) −8.49631 −0.435279
\(382\) −15.4375 19.2242i −0.789853 0.983596i
\(383\) 6.74298 + 6.74298i 0.344550 + 0.344550i 0.858075 0.513525i \(-0.171661\pi\)
−0.513525 + 0.858075i \(0.671661\pi\)
\(384\) 18.4242 + 17.5713i 0.940206 + 0.896681i
\(385\) 2.15083 + 2.96030i 0.109616 + 0.150871i
\(386\) −3.09333 + 28.3151i −0.157446 + 1.44120i
\(387\) 15.6092 + 15.6092i 0.793461 + 0.793461i
\(388\) −4.85982 + 3.09970i −0.246720 + 0.157364i
\(389\) 15.0240i 0.761747i 0.924627 + 0.380874i \(0.124377\pi\)
−0.924627 + 0.380874i \(0.875623\pi\)
\(390\) −25.5338 + 2.52072i −1.29295 + 0.127641i
\(391\) 7.80249i 0.394589i
\(392\) −10.9801 + 5.42575i −0.554579 + 0.274042i
\(393\) −29.8777 29.8777i −1.50713 1.50713i
\(394\) −28.7964 3.14592i −1.45074 0.158489i
\(395\) −4.86502 + 30.7186i −0.244786 + 1.54562i
\(396\) 4.03682 + 0.892675i 0.202858 + 0.0448586i
\(397\) −13.0440 13.0440i −0.654661 0.654661i 0.299451 0.954112i \(-0.403196\pi\)
−0.954112 + 0.299451i \(0.903196\pi\)
\(398\) 19.2003 15.4183i 0.962423 0.772850i
\(399\) −18.4140 −0.921855
\(400\) 14.6420 + 13.6240i 0.732098 + 0.681199i
\(401\) 10.9286i 0.545750i 0.962049 + 0.272875i \(0.0879746\pi\)
−0.962049 + 0.272875i \(0.912025\pi\)
\(402\) −13.3327 16.6031i −0.664974 0.828086i
\(403\) −0.973219 + 0.371093i −0.0484795 + 0.0184855i
\(404\) 1.67404 7.57031i 0.0832868 0.376637i
\(405\) −3.82368 + 24.1434i −0.190000 + 1.19969i
\(406\) 19.0959 + 2.08617i 0.947715 + 0.103535i
\(407\) 3.75268 + 3.75268i 0.186013 + 0.186013i
\(408\) −25.1915 + 12.4482i −1.24717 + 0.616280i
\(409\) 28.8310 1.42560 0.712801 0.701366i \(-0.247426\pi\)
0.712801 + 0.701366i \(0.247426\pi\)
\(410\) −15.4988 + 8.86399i −0.765429 + 0.437761i
\(411\) −2.78501 −0.137375
\(412\) −0.0264320 0.0414409i −0.00130221 0.00204164i
\(413\) −15.1216 15.1216i −0.744083 0.744083i
\(414\) 5.12857 + 0.560280i 0.252055 + 0.0275362i
\(415\) −4.55541 + 3.30977i −0.223616 + 0.162470i
\(416\) −16.7688 + 11.6107i −0.822156 + 0.569262i
\(417\) 13.8017 13.8017i 0.675871 0.675871i
\(418\) −4.44108 5.53044i −0.217221 0.270503i
\(419\) −25.0475 −1.22365 −0.611825 0.790993i \(-0.709564\pi\)
−0.611825 + 0.790993i \(0.709564\pi\)
\(420\) 6.01841 15.3031i 0.293668 0.746715i
\(421\) 27.6601i 1.34807i −0.738698 0.674037i \(-0.764559\pi\)
0.738698 0.674037i \(-0.235441\pi\)
\(422\) 11.2312 + 13.9861i 0.546724 + 0.680831i
\(423\) 7.59557 + 7.59557i 0.369309 + 0.369309i
\(424\) −6.49673 + 19.1894i −0.315509 + 0.931918i
\(425\) −19.6674 + 10.0216i −0.954009 + 0.486117i
\(426\) −1.43396 + 13.1258i −0.0694755 + 0.635949i
\(427\) 8.51089 8.51089i 0.411871 0.411871i
\(428\) −14.5823 + 9.30091i −0.704861 + 0.449577i
\(429\) −3.32168 + 7.41602i −0.160372 + 0.358049i
\(430\) 32.6314 + 8.88659i 1.57363 + 0.428550i
\(431\) −9.74272 −0.469290 −0.234645 0.972081i \(-0.575393\pi\)
−0.234645 + 0.972081i \(0.575393\pi\)
\(432\) 2.88988 + 7.91351i 0.139040 + 0.380739i
\(433\) 8.43954 + 8.43954i 0.405578 + 0.405578i 0.880193 0.474615i \(-0.157413\pi\)
−0.474615 + 0.880193i \(0.657413\pi\)
\(434\) 0.0724949 0.663588i 0.00347987 0.0318533i
\(435\) 33.8413 24.5877i 1.62257 1.17889i
\(436\) 2.04940 9.26771i 0.0981483 0.443843i
\(437\) −6.25854 6.25854i −0.299387 0.299387i
\(438\) 18.2937 + 22.7810i 0.874107 + 1.08852i
\(439\) 19.7703 0.943584 0.471792 0.881710i \(-0.343607\pi\)
0.471792 + 0.881710i \(0.343607\pi\)
\(440\) 6.04762 1.88323i 0.288309 0.0897796i
\(441\) 8.93773 0.425606
\(442\) −5.68846 21.7800i −0.270573 1.03597i
\(443\) 11.5972 11.5972i 0.551000 0.551000i −0.375730 0.926729i \(-0.622608\pi\)
0.926729 + 0.375730i \(0.122608\pi\)
\(444\) 5.14956 23.2872i 0.244387 1.10516i
\(445\) 4.36858 27.5840i 0.207090 1.30761i
\(446\) −20.1852 2.20517i −0.955797 0.104418i
\(447\) 8.02186 8.02186i 0.379421 0.379421i
\(448\) −1.72702 12.9572i −0.0815942 0.612168i
\(449\) 23.1178 1.09100 0.545499 0.838111i \(-0.316340\pi\)
0.545499 + 0.838111i \(0.316340\pi\)
\(450\) −5.17488 13.6470i −0.243946 0.643325i
\(451\) 5.65456i 0.266263i
\(452\) −16.0305 + 10.2247i −0.754013 + 0.480927i
\(453\) −20.0684 + 20.0684i −0.942896 + 0.942896i
\(454\) 2.33940 21.4139i 0.109794 1.00501i
\(455\) 11.0322 + 7.19932i 0.517199 + 0.337509i
\(456\) −10.2216 + 30.1916i −0.478672 + 1.41385i
\(457\) 8.57872 + 8.57872i 0.401296 + 0.401296i 0.878689 0.477394i \(-0.158418\pi\)
−0.477394 + 0.878689i \(0.658418\pi\)
\(458\) −9.03494 + 7.25529i −0.422175 + 0.339017i
\(459\) −9.29809 −0.433998
\(460\) 7.24673 3.15567i 0.337881 0.147134i
\(461\) 15.6754i 0.730078i 0.930992 + 0.365039i \(0.118944\pi\)
−0.930992 + 0.365039i \(0.881056\pi\)
\(462\) −3.26082 4.06067i −0.151707 0.188919i
\(463\) 22.6186 + 22.6186i 1.05118 + 1.05118i 0.998618 + 0.0525571i \(0.0167372\pi\)
0.0525571 + 0.998618i \(0.483263\pi\)
\(464\) 14.0206 30.1516i 0.650892 1.39975i
\(465\) −0.854429 1.17600i −0.0396232 0.0545355i
\(466\) −26.4182 2.88611i −1.22380 0.133696i
\(467\) −5.52619 5.52619i −0.255722 0.255722i 0.567590 0.823311i \(-0.307876\pi\)
−0.823311 + 0.567590i \(0.807876\pi\)
\(468\) 14.7244 2.17504i 0.680638 0.100541i
\(469\) 10.9328i 0.504829i
\(470\) 15.8787 + 4.32429i 0.732430 + 0.199465i
\(471\) 27.0042i 1.24429i
\(472\) −33.1873 + 16.3993i −1.52757 + 0.754839i
\(473\) 7.57371 7.57371i 0.348239 0.348239i
\(474\) 4.80722 44.0032i 0.220803 2.02114i
\(475\) −7.73714 + 23.8141i −0.355004 + 1.09267i
\(476\) 14.0866 + 3.11502i 0.645660 + 0.142777i
\(477\) 10.4542 10.4542i 0.478663 0.478663i
\(478\) 15.2709 + 19.0167i 0.698475 + 0.869805i
\(479\) 3.20609i 0.146490i 0.997314 + 0.0732451i \(0.0233355\pi\)
−0.997314 + 0.0732451i \(0.976664\pi\)
\(480\) −21.7501 18.3625i −0.992754 0.838131i
\(481\) 17.4370 + 7.81017i 0.795061 + 0.356113i
\(482\) −17.5804 21.8927i −0.800766 0.997186i
\(483\) −4.59527 4.59527i −0.209092 0.209092i
\(484\) −4.31704 + 19.5224i −0.196229 + 0.887380i
\(485\) 5.21373 3.78808i 0.236743 0.172008i
\(486\) 2.80782 25.7016i 0.127365 1.16585i
\(487\) 10.5303 10.5303i 0.477174 0.477174i −0.427053 0.904227i \(-0.640448\pi\)
0.904227 + 0.427053i \(0.140448\pi\)
\(488\) −9.23005 18.6788i −0.417825 0.845552i
\(489\) 23.3303 1.05503
\(490\) 11.8865 6.79806i 0.536976 0.307105i
\(491\) 4.79494i 0.216393i 0.994130 + 0.108196i \(0.0345075\pi\)
−0.994130 + 0.108196i \(0.965492\pi\)
\(492\) 21.4243 13.6649i 0.965884 0.616063i
\(493\) 25.9504 + 25.9504i 1.16875 + 1.16875i
\(494\) −22.0331 12.9074i −0.991314 0.580730i
\(495\) −4.56544 0.723046i −0.205201 0.0324985i
\(496\) −1.04778 0.487221i −0.0470466 0.0218769i
\(497\) 4.79366 4.79366i 0.215025 0.215025i
\(498\) 6.24871 5.01787i 0.280011 0.224856i
\(499\) 30.1159i 1.34817i 0.738653 + 0.674086i \(0.235462\pi\)
−0.738653 + 0.674086i \(0.764538\pi\)
\(500\) −17.2621 14.2134i −0.771985 0.635641i
\(501\) 43.1767i 1.92899i
\(502\) 10.5832 + 13.1791i 0.472350 + 0.588213i
\(503\) 17.3309 17.3309i 0.772749 0.772749i −0.205838 0.978586i \(-0.565992\pi\)
0.978586 + 0.205838i \(0.0659919\pi\)
\(504\) −3.05903 + 9.03544i −0.136260 + 0.402471i
\(505\) −1.35594 + 8.56162i −0.0603384 + 0.380987i
\(506\) 0.271852 2.48842i 0.0120853 0.110624i
\(507\) −1.66150 + 29.2073i −0.0737899 + 1.29714i
\(508\) 6.36637 4.06062i 0.282462 0.180161i
\(509\) −23.5534 −1.04399 −0.521993 0.852950i \(-0.674811\pi\)
−0.521993 + 0.852950i \(0.674811\pi\)
\(510\) 27.2710 15.5967i 1.20758 0.690634i
\(511\) 15.0008i 0.663596i
\(512\) −22.2032 4.36090i −0.981253 0.192726i
\(513\) −7.45819 + 7.45819i −0.329287 + 0.329287i
\(514\) −0.110838 + 1.01456i −0.00488885 + 0.0447505i
\(515\) 0.0323019 + 0.0444587i 0.00142339 + 0.00195909i
\(516\) −46.9985 10.3929i −2.06900 0.457523i
\(517\) 3.68543 3.68543i 0.162085 0.162085i
\(518\) −9.54772 + 7.66706i −0.419503 + 0.336871i
\(519\) −5.91160 −0.259490
\(520\) 17.9280 14.0921i 0.786195 0.617979i
\(521\) −16.0659 −0.703859 −0.351929 0.936027i \(-0.614474\pi\)
−0.351929 + 0.936027i \(0.614474\pi\)
\(522\) −18.9206 + 15.1937i −0.828132 + 0.665011i
\(523\) −0.229641 + 0.229641i −0.0100415 + 0.0100415i −0.712110 0.702068i \(-0.752260\pi\)
0.702068 + 0.712110i \(0.252260\pi\)
\(524\) 36.6670 + 8.10827i 1.60180 + 0.354212i
\(525\) −5.68091 + 17.4853i −0.247935 + 0.763121i
\(526\) 4.66329 42.6858i 0.203329 1.86119i
\(527\) 0.901783 0.901783i 0.0392823 0.0392823i
\(528\) −8.46795 + 3.09236i −0.368520 + 0.134578i
\(529\) 19.8763i 0.864188i
\(530\) 5.95174 21.8547i 0.258527 0.949306i
\(531\) 27.0142 1.17232
\(532\) 13.7978 8.80057i 0.598211 0.381553i
\(533\) 7.25292 + 19.0213i 0.314159 + 0.823905i
\(534\) −4.31667 + 39.5130i −0.186800 + 1.70989i
\(535\) 15.6442 11.3664i 0.676358 0.491414i
\(536\) 17.9254 + 6.06879i 0.774258 + 0.262132i
\(537\) −39.4659 + 39.4659i −1.70308 + 1.70308i
\(538\) −0.404391 0.503584i −0.0174345 0.0217110i
\(539\) 4.33665i 0.186793i
\(540\) −3.76056 8.63580i −0.161829 0.371626i
\(541\) 34.3843i 1.47830i 0.673543 + 0.739148i \(0.264772\pi\)
−0.673543 + 0.739148i \(0.735228\pi\)
\(542\) −7.30300 + 5.86449i −0.313691 + 0.251901i
\(543\) 12.7343 12.7343i 0.546480 0.546480i
\(544\) 12.9269 21.3673i 0.554235 0.916115i
\(545\) −1.65996 + 10.4813i −0.0711050 + 0.448970i
\(546\) −16.1775 9.47711i −0.692335 0.405583i
\(547\) 9.62082 + 9.62082i 0.411357 + 0.411357i 0.882211 0.470854i \(-0.156054\pi\)
−0.470854 + 0.882211i \(0.656054\pi\)
\(548\) 2.08684 1.33103i 0.0891452 0.0568589i
\(549\) 15.2045i 0.648911i
\(550\) −6.62162 + 2.51089i −0.282347 + 0.107065i
\(551\) 41.6307 1.77353
\(552\) −10.0852 + 4.98356i −0.429256 + 0.212115i
\(553\) −16.0703 + 16.0703i −0.683380 + 0.683380i
\(554\) −3.58743 + 32.8378i −0.152415 + 1.39515i
\(555\) −4.17103 + 26.3366i −0.177050 + 1.11793i
\(556\) −3.74553 + 16.9379i −0.158846 + 0.718328i
\(557\) 30.3726 + 30.3726i 1.28693 + 1.28693i 0.936643 + 0.350287i \(0.113916\pi\)
0.350287 + 0.936643i \(0.386084\pi\)
\(558\) 0.527986 + 0.657496i 0.0223514 + 0.0278340i
\(559\) 15.7626 35.1917i 0.666687 1.48845i
\(560\) 2.80412 + 14.3431i 0.118496 + 0.606107i
\(561\) 9.94954i 0.420070i
\(562\) −7.44404 9.27000i −0.314008 0.391031i
\(563\) 11.3315 11.3315i 0.477564 0.477564i −0.426788 0.904352i \(-0.640355\pi\)
0.904352 + 0.426788i \(0.140355\pi\)
\(564\) −22.8699 5.05728i −0.962995 0.212950i
\(565\) 17.1979 12.4953i 0.723523 0.525682i
\(566\) −0.572467 + 5.24013i −0.0240626 + 0.220259i
\(567\) −12.6305 + 12.6305i −0.530432 + 0.530432i
\(568\) −5.19872 10.5206i −0.218133 0.441436i
\(569\) 10.8043i 0.452940i 0.974018 + 0.226470i \(0.0727185\pi\)
−0.974018 + 0.226470i \(0.927281\pi\)
\(570\) 9.36418 34.3851i 0.392222 1.44023i
\(571\) 3.57025i 0.149410i −0.997206 0.0747052i \(-0.976198\pi\)
0.997206 0.0747052i \(-0.0238016\pi\)
\(572\) −1.05535 7.14441i −0.0441263 0.298723i
\(573\) −27.7416 27.7416i −1.15892 1.15892i
\(574\) −12.9697 1.41690i −0.541344 0.0591401i
\(575\) −7.87370 + 4.01206i −0.328356 + 0.167314i
\(576\) 13.1164 + 10.0312i 0.546518 + 0.417965i
\(577\) −6.27627 6.27627i −0.261285 0.261285i 0.564291 0.825576i \(-0.309150\pi\)
−0.825576 + 0.564291i \(0.809150\pi\)
\(578\) 2.20445 + 2.74518i 0.0916930 + 0.114184i
\(579\) 45.3240i 1.88360i
\(580\) −13.6065 + 34.5975i −0.564979 + 1.43658i
\(581\) −4.11464 −0.170704
\(582\) −7.15172 + 5.74301i −0.296448 + 0.238056i
\(583\) −5.07244 5.07244i −0.210079 0.210079i
\(584\) −24.5953 8.32695i −1.01776 0.344572i
\(585\) −16.2851 + 3.42369i −0.673305 + 0.141552i
\(586\) −0.136184 + 1.24657i −0.00562572 + 0.0514955i
\(587\) 21.1579 21.1579i 0.873281 0.873281i −0.119548 0.992828i \(-0.538144\pi\)
0.992828 + 0.119548i \(0.0381444\pi\)
\(588\) −16.4310 + 10.4801i −0.677602 + 0.432191i
\(589\) 1.44668i 0.0596094i
\(590\) 35.9268 20.5471i 1.47908 0.845910i
\(591\) −46.0945 −1.89608
\(592\) 7.27096 + 19.9104i 0.298835 + 0.818313i
\(593\) 3.26613 3.26613i 0.134124 0.134124i −0.636858 0.770981i \(-0.719766\pi\)
0.770981 + 0.636858i \(0.219766\pi\)
\(594\) −2.96540 0.323961i −0.121672 0.0132923i
\(595\) −15.9313 2.52309i −0.653118 0.103437i
\(596\) −2.17699 + 9.84471i −0.0891730 + 0.403255i
\(597\) 27.7071 27.7071i 1.13397 1.13397i
\(598\) −2.27733 8.71947i −0.0931271 0.356566i
\(599\) −6.95501 −0.284174 −0.142087 0.989854i \(-0.545381\pi\)
−0.142087 + 0.989854i \(0.545381\pi\)
\(600\) 25.5154 + 19.0205i 1.04166 + 0.776509i
\(601\) −2.34998 −0.0958579 −0.0479289 0.998851i \(-0.515262\pi\)
−0.0479289 + 0.998851i \(0.515262\pi\)
\(602\) 15.4738 + 19.2693i 0.630664 + 0.785360i
\(603\) −9.76554 9.76554i −0.397684 0.397684i
\(604\) 5.44621 24.6287i 0.221603 1.00213i
\(605\) 3.49670 22.0788i 0.142161 0.897630i
\(606\) 1.33983 12.2642i 0.0544267 0.498199i
\(607\) 11.4273 + 11.4273i 0.463820 + 0.463820i 0.899905 0.436085i \(-0.143635\pi\)
−0.436085 + 0.899905i \(0.643635\pi\)
\(608\) −6.77023 27.5081i −0.274569 1.11560i
\(609\) 30.5669 1.23863
\(610\) 11.5646 + 20.2207i 0.468235 + 0.818713i
\(611\) 7.67021 17.1246i 0.310303 0.692786i
\(612\) −15.3651 + 9.80024i −0.621099 + 0.396151i
\(613\) 17.5720 17.5720i 0.709725 0.709725i −0.256752 0.966477i \(-0.582652\pi\)
0.966477 + 0.256752i \(0.0826524\pi\)
\(614\) −4.01860 + 36.7846i −0.162177 + 1.48450i
\(615\) −22.9845 + 16.6996i −0.926826 + 0.673393i
\(616\) 4.38407 + 1.48426i 0.176639 + 0.0598027i
\(617\) −1.31051 1.31051i −0.0527592 0.0527592i 0.680235 0.732994i \(-0.261878\pi\)
−0.732994 + 0.680235i \(0.761878\pi\)
\(618\) −0.0489721 0.0609845i −0.00196995 0.00245316i
\(619\) 3.36316i 0.135177i −0.997713 0.0675884i \(-0.978470\pi\)
0.997713 0.0675884i \(-0.0215305\pi\)
\(620\) 1.20227 + 0.472829i 0.0482844 + 0.0189893i
\(621\) −3.72242 −0.149376
\(622\) 13.0256 + 16.2207i 0.522279 + 0.650389i
\(623\) 14.4304 14.4304i 0.578144 0.578144i
\(624\) −24.5188 + 21.2639i −0.981538 + 0.851238i
\(625\) 20.2260 + 14.6938i 0.809042 + 0.587752i
\(626\) 48.6813 + 5.31827i 1.94569 + 0.212561i
\(627\) −7.98073 7.98073i −0.318720 0.318720i
\(628\) 12.9060 + 20.2345i 0.515006 + 0.807443i
\(629\) −23.3940 −0.932781
\(630\) 2.80241 10.2904i 0.111651 0.409980i
\(631\) −21.0999 −0.839972 −0.419986 0.907531i \(-0.637965\pi\)
−0.419986 + 0.907531i \(0.637965\pi\)
\(632\) 17.4282 + 35.2695i 0.693258 + 1.40295i
\(633\) 20.1827 + 20.1827i 0.802189 + 0.802189i
\(634\) −32.1068 3.50757i −1.27512 0.139303i
\(635\) −6.82999 + 4.96239i −0.271040 + 0.196926i
\(636\) −6.96059 + 31.4769i −0.276005 + 1.24814i
\(637\) −5.56249 14.5880i −0.220394 0.577999i
\(638\) 7.37211 + 9.18042i 0.291865 + 0.363456i
\(639\) 8.56374i 0.338776i
\(640\) 25.0735 + 3.36424i 0.991118 + 0.132983i
\(641\) 11.0927 0.438134 0.219067 0.975710i \(-0.429699\pi\)
0.219067 + 0.975710i \(0.429699\pi\)
\(642\) −21.4593 + 17.2324i −0.846932 + 0.680108i
\(643\) 15.9665 + 15.9665i 0.629657 + 0.629657i 0.947982 0.318324i \(-0.103120\pi\)
−0.318324 + 0.947982i \(0.603120\pi\)
\(644\) 5.63948 + 1.24708i 0.222227 + 0.0491416i
\(645\) 53.1529 + 8.41802i 2.09289 + 0.331459i
\(646\) 31.0810 + 3.39550i 1.22287 + 0.133594i
\(647\) 17.8371 + 17.8371i 0.701250 + 0.701250i 0.964679 0.263429i \(-0.0848534\pi\)
−0.263429 + 0.964679i \(0.584853\pi\)
\(648\) 13.6978 + 27.7202i 0.538100 + 1.08895i
\(649\) 13.1075i 0.514515i
\(650\) −19.0538 + 16.9397i −0.747351 + 0.664430i
\(651\) 1.06221i 0.0416312i
\(652\) −17.4816 + 11.1502i −0.684632 + 0.436674i
\(653\) −30.6085 30.6085i −1.19780 1.19780i −0.974823 0.222980i \(-0.928422\pi\)
−0.222980 0.974823i \(-0.571578\pi\)
\(654\) 1.64024 15.0141i 0.0641384 0.587096i
\(655\) −41.4684 6.56751i −1.62031 0.256614i
\(656\) −9.52261 + 20.4785i −0.371795 + 0.799552i
\(657\) 13.3993 + 13.3993i 0.522755 + 0.522755i
\(658\) 7.52966 + 9.37662i 0.293537 + 0.365539i
\(659\) −18.0735 −0.704042 −0.352021 0.935992i \(-0.614505\pi\)
−0.352021 + 0.935992i \(0.614505\pi\)
\(660\) 9.24084 4.02403i 0.359699 0.156635i
\(661\) 39.3650i 1.53112i −0.643364 0.765561i \(-0.722462\pi\)
0.643364 0.765561i \(-0.277538\pi\)
\(662\) 31.2404 25.0868i 1.21419 0.975027i
\(663\) −12.7619 33.4692i −0.495633 1.29984i
\(664\) −2.28404 + 6.74636i −0.0886379 + 0.261810i
\(665\) −14.8026 + 10.7550i −0.574021 + 0.417060i
\(666\) 1.67987 15.3769i 0.0650938 0.595841i
\(667\) 10.3891 + 10.3891i 0.402266 + 0.402266i
\(668\) 20.6353 + 32.3527i 0.798403 + 1.25176i
\(669\) −32.3105 −1.24920
\(670\) −20.4151 5.55969i −0.788704 0.214790i
\(671\) 7.37732 0.284798
\(672\) −4.97097 20.1975i −0.191759 0.779136i
\(673\) 0.342425 + 0.342425i 0.0131995 + 0.0131995i 0.713676 0.700476i \(-0.247029\pi\)
−0.700476 + 0.713676i \(0.747029\pi\)
\(674\) −0.786524 + 7.19951i −0.0302958 + 0.277315i
\(675\) 4.78109 + 9.38294i 0.184024 + 0.361150i
\(676\) −12.7140 22.6794i −0.488999 0.872284i
\(677\) −24.6839 + 24.6839i −0.948681 + 0.948681i −0.998746 0.0500652i \(-0.984057\pi\)
0.0500652 + 0.998746i \(0.484057\pi\)
\(678\) −23.5906 + 18.9439i −0.905992 + 0.727534i
\(679\) 4.70926 0.180725
\(680\) −12.9803 + 24.7203i −0.497772 + 0.947980i
\(681\) 34.2774i 1.31351i
\(682\) 0.319022 0.256183i 0.0122160 0.00980974i
\(683\) 23.5902 + 23.5902i 0.902655 + 0.902655i 0.995665 0.0930103i \(-0.0296490\pi\)
−0.0930103 + 0.995665i \(0.529649\pi\)
\(684\) −4.46372 + 20.1857i −0.170675 + 0.771819i
\(685\) −2.23881 + 1.62662i −0.0855404 + 0.0621501i
\(686\) 26.0266 + 2.84333i 0.993701 + 0.108559i
\(687\) −13.0379 + 13.0379i −0.497428 + 0.497428i
\(688\) 40.1835 14.6744i 1.53198 0.559454i
\(689\) −23.5694 10.5569i −0.897923 0.402185i
\(690\) 10.9177 6.24403i 0.415631 0.237706i
\(691\) −26.4329 −1.00555 −0.502777 0.864416i \(-0.667688\pi\)
−0.502777 + 0.864416i \(0.667688\pi\)
\(692\) 4.42962 2.82531i 0.168389 0.107402i
\(693\) −2.38839 2.38839i −0.0907275 0.0907275i
\(694\) 21.6276 + 2.36274i 0.820971 + 0.0896885i
\(695\) 3.03379 19.1559i 0.115078 0.726625i
\(696\) 16.9677 50.1175i 0.643160 1.89970i
\(697\) −17.6251 17.6251i −0.667599 0.667599i
\(698\) 8.95697 7.19267i 0.339026 0.272247i
\(699\) −42.2878 −1.59947
\(700\) −4.09993 15.8169i −0.154963 0.597824i
\(701\) −16.5669 −0.625722 −0.312861 0.949799i \(-0.601287\pi\)
−0.312861 + 0.949799i \(0.601287\pi\)
\(702\) −10.3908 + 2.71386i −0.392177 + 0.102428i
\(703\) −18.7648 + 18.7648i −0.707729 + 0.707729i
\(704\) 4.86719 6.36419i 0.183439 0.239860i
\(705\) 25.8646 + 4.09628i 0.974118 + 0.154275i
\(706\) −4.05671 + 37.1334i −0.152676 + 1.39753i
\(707\) −4.47898 + 4.47898i −0.168449 + 0.168449i
\(708\) −49.6625 + 31.6759i −1.86643 + 1.19045i
\(709\) −39.7153 −1.49154 −0.745770 0.666203i \(-0.767918\pi\)
−0.745770 + 0.666203i \(0.767918\pi\)
\(710\) 6.51360 + 11.3891i 0.244451 + 0.427425i
\(711\) 28.7092i 1.07668i
\(712\) −15.6498 31.6705i −0.586501 1.18690i
\(713\) 0.361022 0.361022i 0.0135204 0.0135204i
\(714\) 22.8209 + 2.49311i 0.854051 + 0.0933024i
\(715\) 1.66120 + 7.90164i 0.0621254 + 0.295505i
\(716\) 10.7104 48.4340i 0.400265 1.81006i
\(717\) 27.4422 + 27.4422i 1.02485 + 1.02485i
\(718\) −21.1120 26.2906i −0.787892 0.981155i
\(719\) 5.97682 0.222898 0.111449 0.993770i \(-0.464451\pi\)
0.111449 + 0.993770i \(0.464451\pi\)
\(720\) −15.3165 10.3070i −0.570813 0.384121i
\(721\) 0.0401570i 0.00149553i
\(722\) 6.70331 5.38292i 0.249471 0.200332i
\(723\) −31.5924 31.5924i −1.17493 1.17493i
\(724\) −3.45586 + 15.6280i −0.128436 + 0.580809i
\(725\) 12.8435 39.5310i 0.476995 1.46814i
\(726\) −3.45515 + 31.6270i −0.128233 + 1.17379i
\(727\) 18.1517 + 18.1517i 0.673209 + 0.673209i 0.958454 0.285246i \(-0.0920752\pi\)
−0.285246 + 0.958454i \(0.592075\pi\)
\(728\) 16.6513 0.630395i 0.617140 0.0233640i
\(729\) 8.34523i 0.309082i
\(730\) 28.0114 + 7.62842i 1.03675 + 0.282341i
\(731\) 47.2142i 1.74628i
\(732\) −17.8282 27.9516i −0.658949 1.03312i
\(733\) −12.9042 + 12.9042i −0.476627 + 0.476627i −0.904051 0.427425i \(-0.859421\pi\)
0.427425 + 0.904051i \(0.359421\pi\)
\(734\) −16.9017 1.84646i −0.623853 0.0681540i
\(735\) 17.6275 12.8074i 0.650202 0.472410i
\(736\) 5.17518 8.55424i 0.190760 0.315313i
\(737\) −4.73832 + 4.73832i −0.174538 + 0.174538i
\(738\) 12.8506 10.3193i 0.473037 0.379860i
\(739\) 47.6831i 1.75405i −0.480445 0.877025i \(-0.659525\pi\)
0.480445 0.877025i \(-0.340475\pi\)
\(740\) −9.46158 21.7277i −0.347815 0.798726i
\(741\) −37.0830 16.6097i −1.36228 0.610173i
\(742\) 12.9055 10.3635i 0.473776 0.380454i
\(743\) −4.23660 4.23660i −0.155426 0.155426i 0.625111 0.780536i \(-0.285054\pi\)
−0.780536 + 0.625111i \(0.785054\pi\)
\(744\) −1.74160 0.589633i −0.0638500 0.0216170i
\(745\) 1.76331 11.1339i 0.0646027 0.407913i
\(746\) −34.3948 3.75752i −1.25928 0.137573i
\(747\) 3.67534 3.67534i 0.134474 0.134474i
\(748\) 4.75515 + 7.45528i 0.173866 + 0.272592i
\(749\) 14.1305 0.516318
\(750\) −29.7618 19.5000i −1.08675 0.712039i
\(751\) 33.1141i 1.20835i −0.796851 0.604176i \(-0.793503\pi\)
0.796851 0.604176i \(-0.206497\pi\)
\(752\) 19.5536 7.14066i 0.713047 0.260393i
\(753\) 19.0182 + 19.0182i 0.693062 + 0.693062i
\(754\) 36.5744 + 21.4260i 1.33196 + 0.780288i
\(755\) −4.41130 + 27.8537i −0.160544 + 1.01370i
\(756\) 1.48612 6.72047i 0.0540495 0.244421i
\(757\) 4.76161 4.76161i 0.173064 0.173064i −0.615260 0.788324i \(-0.710949\pi\)
0.788324 + 0.615260i \(0.210949\pi\)
\(758\) −2.87063 3.57476i −0.104266 0.129841i
\(759\) 3.98322i 0.144582i
\(760\) 9.41689 + 30.2405i 0.341587 + 1.09694i
\(761\) 14.4698i 0.524530i 0.964996 + 0.262265i \(0.0844694\pi\)
−0.964996 + 0.262265i \(0.915531\pi\)
\(762\) 9.36877 7.52336i 0.339395 0.272542i
\(763\) −5.48325 + 5.48325i −0.198507 + 0.198507i
\(764\) 34.0455 + 7.52858i 1.23172 + 0.272374i
\(765\) 16.4841 11.9766i 0.595983 0.433017i
\(766\) −13.4062 1.46458i −0.484385 0.0529176i
\(767\) −16.8126 44.0922i −0.607067 1.59208i
\(768\) −35.8752 3.06126i −1.29454 0.110464i
\(769\) −19.4815 −0.702520 −0.351260 0.936278i \(-0.614247\pi\)
−0.351260 + 0.936278i \(0.614247\pi\)
\(770\) −4.99299 1.35975i −0.179935 0.0490021i
\(771\) 1.62402i 0.0584875i
\(772\) −21.6616 33.9617i −0.779617 1.22231i
\(773\) −10.9215 + 10.9215i −0.392819 + 0.392819i −0.875691 0.482872i \(-0.839594\pi\)
0.482872 + 0.875691i \(0.339594\pi\)
\(774\) −31.0338 3.39034i −1.11549 0.121863i
\(775\) −1.37371 0.446314i −0.0493452