Properties

Label 260.2.p.d.103.9
Level $260$
Weight $2$
Character 260.103
Analytic conductor $2.076$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 103.9
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.885485 + 1.10269i) q^{2} +(1.59124 - 1.59124i) q^{3} +(-0.431834 - 1.95282i) q^{4} +(0.349775 - 2.20854i) q^{5} +(0.345619 + 3.16365i) q^{6} +(-1.15539 + 1.15539i) q^{7} +(2.53573 + 1.25302i) q^{8} -2.06407i q^{9} +O(q^{10})\) \(q+(-0.885485 + 1.10269i) 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} +(2.53573 + 1.25302i) q^{8} -2.06407i q^{9} +(2.12561 + 2.34132i) q^{10} -1.00150 q^{11} +(-3.79455 - 2.42026i) q^{12} +(1.28460 - 3.36895i) 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} +(2.27602 + 1.82770i) q^{18} -5.00790i q^{19} +(-4.46394 + 0.270674i) q^{20} +3.67700i q^{21} +(0.886815 - 1.10434i) 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} +(2.75521 + 1.75734i) q^{28} +8.31301i q^{29} +(7.10795 + 0.343252i) q^{30} +0.288879 q^{31} +(1.35191 - 5.49294i) 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} +(5.52214 + 4.43442i) q^{38} +(-3.31670 - 7.40489i) q^{39} +(3.65428 - 5.16200i) q^{40} +5.64607i q^{41} +(-4.05458 - 3.25593i) 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} +(-3.08772 + 8.45524i) q^{48} +4.33015i q^{49} +(5.91439 - 3.87556i) q^{50} -9.93461i q^{51} +(-7.13369 - 1.05376i) 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} +(-9.16664 - 7.36105i) q^{58} +13.0878i q^{59} +(-6.67248 + 7.53389i) q^{60} -7.36625 q^{61} +(-0.255798 + 0.318543i) q^{62} +(2.38481 + 2.38481i) q^{63} +(4.85989 + 6.35464i) q^{64} +(-6.99114 - 4.01546i) q^{65} +(-0.346138 - 3.16841i) q^{66} +(4.73121 - 4.73121i) q^{67} +(-7.44409 - 4.74802i) q^{68} +3.97725i q^{69} +(-5.16105 - 0.249234i) q^{70} -4.14895 q^{71} +(2.58632 - 5.23393i) 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} +(11.1022 + 2.89964i) q^{78} -13.9090 q^{79} +(2.45626 + 8.60040i) q^{80} +10.9318 q^{81} +(-6.22585 - 4.99951i) 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} +(-2.53954 - 1.25490i) q^{88} +12.4897 q^{89} +(4.83266 - 4.38741i) q^{90} +(2.40824 + 5.37666i) q^{91} +(2.98019 + 1.90083i) 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} +(-4.77479 - 3.83428i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.885485 + 1.10269i −0.626132 + 0.779717i
\(3\) 1.59124 1.59124i 0.918701 0.918701i −0.0782339 0.996935i \(-0.524928\pi\)
0.996935 + 0.0782339i \(0.0249281\pi\)
\(4\) −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 \(0.349924\pi\)
\(8\) 2.53573 + 1.25302i 0.896517 + 0.443009i
\(9\) 2.06407i 0.688024i
\(10\) 2.12561 + 2.34132i 0.672176 + 0.740391i
\(11\) −1.00150 −0.301964 −0.150982 0.988536i \(-0.548244\pi\)
−0.150982 + 0.988536i \(0.548244\pi\)
\(12\) −3.79455 2.42026i −1.09539 0.698668i
\(13\) 1.28460 3.36895i 0.356283 0.934378i
\(14\) −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 \(0.0701758\pi\)
\(18\) 2.27602 + 1.82770i 0.536464 + 0.430794i
\(19\) 5.00790i 1.14889i −0.818543 0.574446i \(-0.805218\pi\)
0.818543 0.574446i \(-0.194782\pi\)
\(20\) −4.46394 + 0.270674i −0.998167 + 0.0605244i
\(21\) 3.67700i 0.802387i
\(22\) 0.886815 1.10434i 0.189070 0.235447i
\(23\) −1.24973 + 1.24973i −0.260588 + 0.260588i −0.825293 0.564705i \(-0.808990\pi\)
0.564705 + 0.825293i \(0.308990\pi\)
\(24\) 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
\(28\) 2.75521 + 1.75734i 0.520686 + 0.332105i
\(29\) 8.31301i 1.54369i 0.635812 + 0.771844i \(0.280665\pi\)
−0.635812 + 0.771844i \(0.719335\pi\)
\(30\) 7.10795 + 0.343252i 1.29773 + 0.0626690i
\(31\) 0.288879 0.0518842 0.0259421 0.999663i \(-0.491741\pi\)
0.0259421 + 0.999663i \(0.491741\pi\)
\(32\) 1.35191 5.49294i 0.238986 0.971023i
\(33\) −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 0.944506 0.328495i \(-0.106541\pi\)
−0.328495 + 0.944506i \(0.606541\pi\)
\(38\) 5.52214 + 4.43442i 0.895810 + 0.719358i
\(39\) −3.31670 7.40489i −0.531097 1.18573i
\(40\) 3.65428 5.16200i 0.577792 0.816184i
\(41\) 5.64607i 0.881769i 0.897564 + 0.440884i \(0.145335\pi\)
−0.897564 + 0.440884i \(0.854665\pi\)
\(42\) −4.05458 3.25593i −0.625635 0.502400i
\(43\) 7.56234 7.56234i 1.15325 1.15325i 0.167349 0.985898i \(-0.446479\pi\)
0.985898 0.167349i \(-0.0535206\pi\)
\(44\) 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 \(0.373922\pi\)
\(48\) −3.08772 + 8.45524i −0.445673 + 1.22041i
\(49\) 4.33015i 0.618592i
\(50\) 5.91439 3.87556i 0.836422 0.548087i
\(51\) 9.93461i 1.39112i
\(52\) −7.13369 1.05376i −0.989265 0.146131i
\(53\) 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
\(58\) −9.16664 7.36105i −1.20364 0.966553i
\(59\) 13.0878i 1.70389i 0.523630 + 0.851946i \(0.324577\pi\)
−0.523630 + 0.851946i \(0.675423\pi\)
\(60\) −6.67248 + 7.53389i −0.861413 + 0.972621i
\(61\) −7.36625 −0.943152 −0.471576 0.881826i \(-0.656315\pi\)
−0.471576 + 0.881826i \(0.656315\pi\)
\(62\) −0.255798 + 0.318543i −0.0324864 + 0.0404550i
\(63\) 2.38481 + 2.38481i 0.300457 + 0.300457i
\(64\) 4.85989 + 6.35464i 0.607486 + 0.794330i
\(65\) −6.99114 4.01546i −0.867145 0.498056i
\(66\) −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 \(0.115977\pi\)
\(68\) −7.44409 4.74802i −0.902729 0.575781i
\(69\) 3.97725i 0.478804i
\(70\) −5.16105 0.249234i −0.616863 0.0297892i
\(71\) −4.14895 −0.492390 −0.246195 0.969220i \(-0.579180\pi\)
−0.246195 + 0.969220i \(0.579180\pi\)
\(72\) 2.58632 5.23393i 0.304801 0.616825i
\(73\) 6.49166 6.49166i 0.759792 0.759792i −0.216493 0.976284i \(-0.569462\pi\)
0.976284 + 0.216493i \(0.0694618\pi\)
\(74\) −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
\(78\) 11.1022 + 2.89964i 1.25707 + 0.328320i
\(79\) −13.9090 −1.56489 −0.782443 0.622723i \(-0.786026\pi\)
−0.782443 + 0.622723i \(0.786026\pi\)
\(80\) 2.45626 + 8.60040i 0.274618 + 0.961553i
\(81\) 10.9318 1.21465
\(82\) −6.22585 4.99951i −0.687530 0.552104i
\(83\) 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
\(88\) −2.53954 1.25490i −0.270716 0.133773i
\(89\) 12.4897 1.32390 0.661951 0.749547i \(-0.269729\pi\)
0.661951 + 0.749547i \(0.269729\pi\)
\(90\) 4.83266 4.38741i 0.509407 0.462473i
\(91\) 2.40824 + 5.37666i 0.252452 + 0.563627i
\(92\) 2.98019 + 1.90083i 0.310706 + 0.198176i
\(93\) 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 0.802958 0.596035i \(-0.203258\pi\)
−0.596035 + 0.802958i \(0.703258\pi\)
\(98\) −4.77479 3.83428i −0.482327 0.387321i
\(99\) 2.06717i 0.207759i
\(100\) −0.963580 + 9.95347i −0.0963580 + 0.995347i
\(101\) 3.87660 0.385736 0.192868 0.981225i \(-0.438221\pi\)
0.192868 + 0.981225i \(0.438221\pi\)
\(102\) 10.9548 + 8.79694i 1.08468 + 0.871027i
\(103\) −0.0173781 + 0.0173781i −0.00171232 + 0.00171232i −0.707962 0.706250i \(-0.750385\pi\)
0.706250 + 0.707962i \(0.250385\pi\)
\(104\) 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 0.937946 0.346782i \(-0.112726\pi\)
−0.346782 + 0.937946i \(0.612726\pi\)
\(108\) 2.26519 3.55143i 0.217968 0.341737i
\(109\) −4.74580 −0.454565 −0.227283 0.973829i \(-0.572984\pi\)
−0.227283 + 0.973829i \(0.572984\pi\)
\(110\) −2.12880 2.34484i −0.202973 0.223572i
\(111\) 11.9249 1.13186
\(112\) 2.24198 6.13931i 0.211847 0.580111i
\(113\) −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
\(117\) −6.95375 2.65150i −0.642874 0.245131i
\(118\) −14.4318 11.5891i −1.32855 1.06686i
\(119\) 7.21347i 0.661258i
\(120\) −2.39914 14.0288i −0.219010 1.28065i
\(121\) −9.99699 −0.908817
\(122\) 6.52270 8.12266i 0.590538 0.735391i
\(123\) 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 0.578666 0.815565i \(-0.303574\pi\)
−0.815565 + 0.578666i \(0.803574\pi\)
\(128\) −11.3105 0.268006i −0.999719 0.0236886i
\(129\) 24.0670i 2.11898i
\(130\) 10.6183 4.15341i 0.931290 0.364278i
\(131\) 18.7764i 1.64050i −0.572005 0.820250i \(-0.693834\pi\)
0.572005 0.820250i \(-0.306166\pi\)
\(132\) 3.80026 + 2.42389i 0.330770 + 0.210973i
\(133\) 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 0.668735 0.743501i \(-0.266836\pi\)
−0.743501 + 0.668735i \(0.766836\pi\)
\(138\) −4.38565 3.52179i −0.373332 0.299795i
\(139\) 8.67356 0.735681 0.367841 0.929889i \(-0.380097\pi\)
0.367841 + 0.929889i \(0.380097\pi\)
\(140\) 4.84486 5.47032i 0.409465 0.462327i
\(141\) 11.7112i 0.986259i
\(142\) 3.67384 4.57499i 0.308301 0.383925i
\(143\) −1.28653 + 3.37401i −0.107585 + 0.282149i
\(144\) 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
\(148\) 5.69922 8.93542i 0.468473 0.734487i
\(149\) 5.04127 0.412997 0.206499 0.978447i \(-0.433793\pi\)
0.206499 + 0.978447i \(0.433793\pi\)
\(150\) 3.24427 15.5781i 0.264893 1.27195i
\(151\) 12.6118 1.02634 0.513168 0.858288i \(-0.328472\pi\)
0.513168 + 0.858288i \(0.328472\pi\)
\(152\) 6.27499 12.6987i 0.508969 1.03000i
\(153\) −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 \(0.408947\pi\)
\(158\) 12.3162 15.3373i 0.979825 1.22017i
\(159\) 16.1187 1.27829
\(160\) −11.6585 4.90704i −0.921686 0.387936i
\(161\) 2.88786i 0.227595i
\(162\) −9.67996 + 12.0544i −0.760530 + 0.947081i
\(163\) −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 \(0.983709\pi\)
\(168\) −4.60735 + 9.32389i −0.355465 + 0.719354i
\(169\) −9.69963 8.65547i −0.746125 0.665806i
\(170\) 13.9442 + 0.673387i 1.06947 + 0.0516464i
\(171\) −10.3367 −0.790464
\(172\) −18.0336 11.5022i −1.37505 0.877038i
\(173\) 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
\(178\) −11.0594 + 13.7722i −0.828938 + 1.03227i
\(179\) −24.8021 −1.85379 −0.926896 0.375318i \(-0.877534\pi\)
−0.926896 + 0.375318i \(0.877534\pi\)
\(180\) 0.558689 + 9.21388i 0.0416422 + 0.686762i
\(181\) −8.00275 −0.594840 −0.297420 0.954747i \(-0.596126\pi\)
−0.297420 + 0.954747i \(0.596126\pi\)
\(182\) −8.06123 2.10542i −0.597538 0.156064i
\(183\) −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
\(188\) 8.77530 + 5.59709i 0.640004 + 0.408210i
\(189\) −3.44141 −0.250326
\(190\) 11.7251 10.6448i 0.850629 0.772257i
\(191\) 17.4340i 1.26148i −0.775995 0.630739i \(-0.782752\pi\)
0.775995 0.630739i \(-0.217248\pi\)
\(192\) 17.8450 + 2.37851i 1.28785 + 0.171654i
\(193\) −14.2418 + 14.2418i −1.02514 + 1.02514i −0.0254690 + 0.999676i \(0.508108\pi\)
−0.999676 + 0.0254690i \(0.991892\pi\)
\(194\) −4.05180 + 0.442646i −0.290902 + 0.0317801i
\(195\) −17.5141 + 4.73502i −1.25421 + 0.339082i
\(196\) 8.45601 1.86990i 0.604001 0.133564i
\(197\) −14.4839 14.4839i −1.03193 1.03193i −0.999473 0.0324598i \(-0.989666\pi\)
−0.0324598 0.999473i \(-0.510334\pi\)
\(198\) −2.27944 1.83045i −0.161993 0.130084i
\(199\) 17.4123 1.23432 0.617162 0.786836i \(-0.288282\pi\)
0.617162 + 0.786836i \(0.288282\pi\)
\(200\) −10.1223 9.87617i −0.715756 0.698351i
\(201\) 15.0569i 1.06203i
\(202\) −3.43267 + 4.27467i −0.241522 + 0.300765i
\(203\) −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
\(208\) 1.02276 + 14.3859i 0.0709153 + 0.997482i
\(209\) 5.01543i 0.346924i
\(210\) −8.60904 + 7.81586i −0.594080 + 0.539346i
\(211\) 12.6836i 0.873177i 0.899661 + 0.436589i \(0.143813\pi\)
−0.899661 + 0.436589i \(0.856187\pi\)
\(212\) 7.70355 12.0779i 0.529082 0.829512i
\(213\) −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
\(218\) 4.20234 5.23313i 0.284618 0.354432i
\(219\) 20.6595i 1.39604i
\(220\) 4.47065 0.271080i 0.301411 0.0182762i
\(221\) −6.50664 14.5268i −0.437684 0.977178i
\(222\) −10.5593 + 13.1494i −0.708694 + 0.882530i
\(223\) 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 \(0.418689\pi\)
\(228\) −12.1204 + 19.0028i −0.802693 + 1.25849i
\(229\) −8.19357 −0.541447 −0.270723 0.962657i \(-0.587263\pi\)
−0.270723 + 0.962657i \(0.587263\pi\)
\(230\) −5.58248 0.269585i −0.368098 0.0177759i
\(231\) 3.68253i 0.242292i
\(232\) −10.4164 + 21.0796i −0.683867 + 1.38394i
\(233\) 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
\(238\) −7.95420 6.38742i −0.515594 0.414035i
\(239\) 17.2458i 1.11554i −0.829996 0.557770i \(-0.811657\pi\)
0.829996 0.557770i \(-0.188343\pi\)
\(240\) 17.5938 + 9.77678i 1.13567 + 0.631089i
\(241\) 19.8540i 1.27891i −0.768829 0.639454i \(-0.779160\pi\)
0.768829 0.639454i \(-0.220840\pi\)
\(242\) 8.85218 11.0235i 0.569040 0.708620i
\(243\) 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
\(247\) −16.8714 6.43313i −1.07350 0.409330i
\(248\) 0.732521 + 0.361971i 0.0465151 + 0.0229852i
\(249\) 5.66681 0.359119
\(250\) −6.49063 14.4178i −0.410503 0.911859i
\(251\) 11.9518i 0.754393i 0.926133 + 0.377197i \(0.123112\pi\)
−0.926133 + 0.377197i \(0.876888\pi\)
\(252\) 3.62727 5.68695i 0.228496 0.358244i
\(253\) 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 \(0.242835\pi\)
\(258\) 26.5383 + 21.3109i 1.65220 + 1.32676i
\(259\) −8.65860 −0.538019
\(260\) −4.82247 + 15.3865i −0.299077 + 0.954229i
\(261\) 17.1586 1.06209
\(262\) 20.7045 + 16.6262i 1.27913 + 1.02717i
\(263\) 21.4699 21.4699i 1.32389 1.32389i 0.413291 0.910599i \(-0.364379\pi\)
0.910599 0.413291i \(-0.135621\pi\)
\(264\) −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
\(268\) −11.2823 7.19612i −0.689176 0.439573i
\(269\) 0.456688i 0.0278448i 0.999903 + 0.0139224i \(0.00443178\pi\)
−0.999903 + 0.0139224i \(0.995568\pi\)
\(270\) −0.321260 + 6.65253i −0.0195513 + 0.404860i
\(271\) 6.62292 0.402314 0.201157 0.979559i \(-0.435530\pi\)
0.201157 + 0.979559i \(0.435530\pi\)
\(272\) −6.05743 + 16.5874i −0.367286 + 1.00576i
\(273\) 12.3876 + 4.72346i 0.749733 + 0.285877i
\(274\) 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 \(0.00241434\pi\)
\(278\) −7.68030 + 9.56421i −0.460634 + 0.573623i
\(279\) 0.596267i 0.0356976i
\(280\) 1.74200 + 10.1862i 0.104105 + 0.608744i
\(281\) 8.40674i 0.501504i −0.968051 0.250752i \(-0.919322\pi\)
0.968051 0.250752i \(-0.0806779\pi\)
\(282\) −12.9138 10.3701i −0.769003 0.617529i
\(283\) −2.63565 + 2.63565i −0.156673 + 0.156673i −0.781091 0.624418i \(-0.785336\pi\)
0.624418 + 0.781091i \(0.285336\pi\)
\(284\) 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
\(288\) −11.3378 2.79044i −0.668087 0.164428i
\(289\) 2.48954i 0.146443i
\(290\) −19.4634 + 17.6702i −1.14293 + 1.03763i
\(291\) 6.48573 0.380200
\(292\) −15.4804 9.87375i −0.905921 0.577818i
\(293\) −0.626995 + 0.626995i −0.0366294 + 0.0366294i −0.725184 0.688555i \(-0.758245\pi\)
0.688555 + 0.725184i \(0.258245\pi\)
\(294\) −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
\(298\) −4.46397 + 5.55894i −0.258591 + 0.322021i
\(299\) 2.60489 + 5.81569i 0.150645 + 0.336330i
\(300\) 14.3050 + 17.3716i 0.825902 + 1.00295i
\(301\) 17.4749i 1.00724i
\(302\) −11.1676 + 13.9069i −0.642622 + 0.800251i
\(303\) 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 \(-0.0183477\pi\)
\(308\) −2.75935 1.75998i −0.157229 0.100284i
\(309\) 0.0553054i 0.00314622i
\(310\) 0.614044 + 0.676359i 0.0348754 + 0.0384146i
\(311\) 14.7101i 0.834135i 0.908875 + 0.417068i \(0.136942\pi\)
−0.908875 + 0.417068i \(0.863058\pi\)
\(312\) 0.868199 22.9327i 0.0491521 1.29831i
\(313\) −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 0.0890163 0.996030i \(-0.471628\pi\)
−0.996030 + 0.0890163i \(0.971628\pi\)
\(318\) −14.2728 + 17.7738i −0.800382 + 0.996708i
\(319\) 8.32550i 0.466139i
\(320\) 15.7344 8.51057i 0.879578 0.475756i
\(321\) 19.4610 1.08620
\(322\) 3.18440 + 2.55716i 0.177460 + 0.142505i
\(323\) −15.6330 15.6330i −0.869842 0.869842i
\(324\) −4.72073 21.3479i −0.262263 1.18600i
\(325\) −11.3136 + 14.0357i −0.627567 + 0.778562i
\(326\) 14.5750 1.59227i 0.807235 0.0881879i
\(327\) −7.55170 + 7.55170i −0.417610 + 0.417610i
\(328\) −7.07464 + 14.3169i −0.390631 + 0.790521i
\(329\) 8.50344i 0.468810i
\(330\) −7.11863 0.343768i −0.391868 0.0189238i
\(331\) −28.3312 −1.55722 −0.778611 0.627507i \(-0.784075\pi\)
−0.778611 + 0.627507i \(0.784075\pi\)
\(332\) 2.70832 4.24619i 0.148638 0.233040i
\(333\) 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 \(0.205456\pi\)
\(338\) 18.1331 3.03136i 0.986313 0.164884i
\(339\) −21.3938 −1.16195
\(340\) −13.0899 + 14.7799i −0.709902 + 0.801550i
\(341\) −0.289313 −0.0156672
\(342\) 9.15296 11.3981i 0.494935 0.616338i
\(343\) −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 0.935991 0.352023i \(-0.114506\pi\)
−0.352023 + 0.935991i \(0.614506\pi\)
\(348\) 20.1196 31.5442i 1.07852 1.69095i
\(349\) 8.12287 0.434807 0.217404 0.976082i \(-0.430241\pi\)
0.217404 + 0.976082i \(0.430241\pi\)
\(350\) −2.35565 + 11.3112i −0.125915 + 0.604610i
\(351\) 6.93045 3.10420i 0.369920 0.165690i
\(352\) −1.35394 + 5.50119i −0.0721653 + 0.293214i
\(353\) −18.6772 + 18.6772i −0.994085 + 0.994085i −0.999983 0.00589744i \(-0.998123\pi\)
0.00589744 + 0.999983i \(0.498123\pi\)
\(354\) −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
\(358\) 21.9618 27.3489i 1.16072 1.44543i
\(359\) 23.8423i 1.25835i 0.777265 + 0.629174i \(0.216607\pi\)
−0.777265 + 0.629174i \(0.783393\pi\)
\(360\) −10.6547 7.54269i −0.561554 0.397535i
\(361\) −6.07907 −0.319951
\(362\) 7.08632 8.82453i 0.372449 0.463807i
\(363\) −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 0.449517 0.893272i \(-0.351596\pi\)
−0.893272 + 0.449517i \(0.851596\pi\)
\(368\) 2.42505 6.64062i 0.126414 0.346166i
\(369\) 11.6539 0.606678
\(370\) −0.808291 + 16.7378i −0.0420211 + 0.870157i
\(371\) −11.7037 −0.607626
\(372\) −1.09617 0.699162i −0.0568337 0.0362498i
\(373\) 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
\(377\) 28.0061 + 10.6789i 1.44239 + 0.549989i
\(378\) 3.04732 3.79480i 0.156737 0.195183i
\(379\) 3.24187i 0.166524i 0.996528 + 0.0832618i \(0.0265338\pi\)
−0.996528 + 0.0832618i \(0.973466\pi\)
\(380\) 1.35551 + 22.3550i 0.0695360 + 1.14678i
\(381\) −8.49631 −0.435279
\(382\) 19.2242 + 15.4375i 0.983596 + 0.789853i
\(383\) 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
\(388\) 3.09970 4.85982i 0.157364 0.246720i
\(389\) 15.0240i 0.761747i 0.924627 + 0.380874i \(0.124377\pi\)
−0.924627 + 0.380874i \(0.875623\pi\)
\(390\) 10.2872 23.5054i 0.520914 1.19024i
\(391\) 7.80249i 0.394589i
\(392\) −5.42575 + 10.9801i −0.274042 + 0.554579i
\(393\) −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 0.954112 0.299451i \(-0.0968035\pi\)
−0.299451 + 0.954112i \(0.596804\pi\)
\(398\) −15.4183 + 19.2003i −0.772850 + 0.962423i
\(399\) 18.4140 0.921855
\(400\) 19.8535 2.41654i 0.992674 0.120827i
\(401\) 10.9286i 0.545750i −0.962049 0.272875i \(-0.912025\pi\)
0.962049 0.272875i \(-0.0879746\pi\)
\(402\) 16.6031 + 13.3327i 0.828086 + 0.664974i
\(403\) 0.371093 0.973219i 0.0184855 0.0484795i
\(404\) −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
\(408\) 12.4482 25.1915i 0.616280 1.24717i
\(409\) −28.8310 −1.42560 −0.712801 0.701366i \(-0.752574\pi\)
−0.712801 + 0.701366i \(0.752574\pi\)
\(410\) −13.2193 + 12.0013i −0.652854 + 0.592704i
\(411\) −2.78501 −0.137375
\(412\) 0.0414409 + 0.0264320i 0.00204164 + 0.00130221i
\(413\) −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
\(418\) −5.53044 4.44108i −0.270503 0.217221i
\(419\) 25.0475 1.22365 0.611825 0.790993i \(-0.290436\pi\)
0.611825 + 0.790993i \(0.290436\pi\)
\(420\) −0.995266 16.4139i −0.0485640 0.800916i
\(421\) 27.6601i 1.34807i 0.738698 + 0.674037i \(0.235441\pi\)
−0.738698 + 0.674037i \(0.764559\pi\)
\(422\) −13.9861 11.2312i −0.680831 0.546724i
\(423\) 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
\(428\) 9.30091 14.5823i 0.449577 0.704861i
\(429\) 3.32168 + 7.41602i 0.160372 + 0.358049i
\(430\) 33.7805 + 1.63130i 1.62904 + 0.0786685i
\(431\) −9.74272 −0.469290 −0.234645 0.972081i \(-0.575393\pi\)
−0.234645 + 0.972081i \(0.575393\pi\)
\(432\) −7.91351 2.88988i −0.380739 0.139040i
\(433\) 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
\(438\) 22.7810 + 18.2937i 1.08852 + 0.874107i
\(439\) −19.7703 −0.943584 −0.471792 0.881710i \(-0.656393\pi\)
−0.471792 + 0.881710i \(0.656393\pi\)
\(440\) −3.65977 + 5.16976i −0.174473 + 0.246458i
\(441\) 8.93773 0.425606
\(442\) 21.7800 + 5.68846i 1.03597 + 0.270573i
\(443\) −11.5972 + 11.5972i −0.551000 + 0.551000i −0.926729 0.375730i \(-0.877392\pi\)
0.375730 + 0.926729i \(0.377392\pi\)
\(444\) −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
\(448\) −12.9572 1.72702i −0.612168 0.0815942i
\(449\) −23.1178 −1.09100 −0.545499 0.838111i \(-0.683660\pi\)
−0.545499 + 0.838111i \(0.683660\pi\)
\(450\) −7.99943 12.2077i −0.377097 0.575478i
\(451\) 5.65456i 0.266263i
\(452\) −10.2247 + 16.0305i −0.480927 + 0.754013i
\(453\) 20.0684 20.0684i 0.942896 0.942896i
\(454\) −2.33940 21.4139i −0.109794 1.00501i
\(455\) 12.7169 3.43808i 0.596178 0.161180i
\(456\) −10.2216 30.1916i −0.478672 1.41385i
\(457\) −8.57872 8.57872i −0.401296 0.401296i 0.477394 0.878689i \(-0.341582\pi\)
−0.878689 + 0.477394i \(0.841582\pi\)
\(458\) 7.25529 9.03494i 0.339017 0.422175i
\(459\) 9.29809 0.433998
\(460\) 5.24046 5.91700i 0.244338 0.275882i
\(461\) 15.6754i 0.730078i −0.930992 0.365039i \(-0.881056\pi\)
0.930992 0.365039i \(-0.118944\pi\)
\(462\) 4.06067 + 3.26082i 0.188919 + 0.151707i
\(463\) 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 0.823311 0.567590i \(-0.192124\pi\)
−0.567590 + 0.823311i \(0.692124\pi\)
\(468\) −2.17504 + 14.7244i −0.100541 + 0.680638i
\(469\) 10.9328i 0.504829i
\(470\) −16.4378 0.793806i −0.758221 0.0366155i
\(471\) 27.0042i 1.24429i
\(472\) −16.3993 + 33.1873i −0.754839 + 1.52757i
\(473\) −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
\(478\) 19.0167 + 15.2709i 0.869805 + 0.698475i
\(479\) 3.20609i 0.146490i 0.997314 + 0.0732451i \(0.0233355\pi\)
−0.997314 + 0.0732451i \(0.976664\pi\)
\(480\) −26.3597 + 10.7432i −1.20315 + 0.490358i
\(481\) 17.4370 7.81017i 0.795061 0.356113i
\(482\) 21.8927 + 17.5804i 0.997186 + 0.800766i
\(483\) −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 \(0.140448\pi\)
\(488\) −18.6788 9.23005i −0.845552 0.417825i
\(489\) −23.3303 −1.05503
\(490\) −10.1383 + 9.20420i −0.458000 + 0.415803i
\(491\) 4.79494i 0.216393i −0.994130 0.108196i \(-0.965492\pi\)
0.994130 0.108196i \(-0.0345075\pi\)
\(492\) 13.6649 21.4243i 0.616063 0.965884i
\(493\) 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
\(498\) −5.01787 + 6.24871i −0.224856 + 0.280011i
\(499\) 30.1159i 1.34817i 0.738653 + 0.674086i \(0.235462\pi\)
−0.738653 + 0.674086i \(0.764538\pi\)
\(500\) 21.6456 + 5.60958i 0.968021 + 0.250868i
\(501\) 43.1767i 1.92899i
\(502\) −13.1791 10.5832i −0.588213 0.472350i
\(503\) −17.3309 + 17.3309i −0.772749 + 0.772749i −0.978586 0.205838i \(-0.934008\pi\)
0.205838 + 0.978586i \(0.434008\pi\)
\(504\) 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
\(507\) −29.2073 + 1.66150i −1.29714 + 0.0737899i
\(508\) −4.06062 + 6.36637i −0.180161 + 0.282462i
\(509\) 23.5534 1.04399 0.521993 0.852950i \(-0.325189\pi\)
0.521993 + 0.852950i \(0.325189\pi\)
\(510\) 23.2601 21.1171i 1.02998 0.935080i
\(511\) 15.0008i 0.663596i
\(512\) 4.36090 + 22.2032i 0.192726 + 0.981253i
\(513\) 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
\(518\) 7.66706 9.54772i 0.336871 0.419503i
\(519\) 5.91160 0.259490
\(520\) −12.6962 18.9422i −0.556767 0.830669i
\(521\) −16.0659 −0.703859 −0.351929 0.936027i \(-0.614474\pi\)
−0.351929 + 0.936027i \(0.614474\pi\)
\(522\) −15.1937 + 18.9206i −0.665011 + 0.828132i
\(523\) 0.229641 0.229641i 0.0100415 0.0100415i −0.702068 0.712110i \(-0.747740\pi\)
0.712110 + 0.702068i \(0.247740\pi\)
\(524\) −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
\(528\) 3.09236 8.46795i 0.134578 0.368520i
\(529\) 19.8763i 0.864188i
\(530\) −1.09256 + 22.6242i −0.0474576 + 0.982734i
\(531\) 27.0142 1.17232
\(532\) 8.80057 13.7978i 0.381553 0.598211i
\(533\) 19.0213 + 7.25292i 0.823905 + 0.314159i
\(534\) 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
\(538\) −0.503584 0.404391i −0.0217110 0.0174345i
\(539\) 4.33665i 0.186793i
\(540\) −7.05118 6.24496i −0.303435 0.268740i
\(541\) 34.3843i 1.47830i −0.673543 0.739148i \(-0.735228\pi\)
0.673543 0.739148i \(-0.264772\pi\)
\(542\) −5.86449 + 7.30300i −0.251901 + 0.313691i
\(543\) −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 0.470854 0.882211i \(-0.343946\pi\)
−0.882211 + 0.470854i \(0.843946\pi\)
\(548\) −1.33103 + 2.08684i −0.0568589 + 0.0891452i
\(549\) 15.2045i 0.648911i
\(550\) −5.92328 + 3.88138i −0.252570 + 0.165503i
\(551\) 41.6307 1.77353
\(552\) −4.98356 + 10.0852i −0.212115 + 0.429256i
\(553\) 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 \(-0.886084\pi\)
−0.350287 0.936643i \(-0.613916\pi\)
\(558\) 0.657496 + 0.527986i 0.0278340 + 0.0223514i
\(559\) −15.7626 35.1917i −0.666687 1.48845i
\(560\) −12.7747 7.09888i −0.539832 0.299982i
\(561\) 9.94954i 0.420070i
\(562\) 9.27000 + 7.44404i 0.391031 + 0.314008i
\(563\) −11.3315 + 11.3315i −0.477564 + 0.477564i −0.904352 0.426788i \(-0.859645\pi\)
0.426788 + 0.904352i \(0.359645\pi\)
\(564\) 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
\(568\) −10.5206 5.19872i −0.441436 0.218133i
\(569\) 10.8043i 0.452940i 0.974018 + 0.226470i \(0.0727185\pi\)
−0.974018 + 0.226470i \(0.927281\pi\)
\(570\) 1.71897 35.5959i 0.0719999 1.49095i
\(571\) 3.57025i 0.149410i 0.997206 + 0.0747052i \(0.0238016\pi\)
−0.997206 + 0.0747052i \(0.976198\pi\)
\(572\) 7.14441 + 1.05535i 0.298723 + 0.0441263i
\(573\) −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 0.825576 0.564291i \(-0.190850\pi\)
−0.564291 + 0.825576i \(0.690850\pi\)
\(578\) 2.74518 + 2.20445i 0.114184 + 0.0916930i
\(579\) 45.3240i 1.88360i
\(580\) −2.25011 37.1088i −0.0934308 1.54086i
\(581\) −4.11464 −0.170704
\(582\) −5.74301 + 7.15172i −0.238056 + 0.296448i
\(583\) −5.07244 5.07244i −0.210079 0.210079i
\(584\) 24.5953 8.32695i 1.01776 0.344572i
\(585\) −8.28819 + 14.4302i −0.342674 + 0.596616i
\(586\) −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 \(0.0381444\pi\)
\(588\) 10.4801 16.4310i 0.432191 0.677602i
\(589\) 1.44668i 0.0596094i
\(590\) −30.6428 + 27.8196i −1.26155 + 1.14532i
\(591\) −46.0945 −1.89608
\(592\) −19.9104 7.27096i −0.818313 0.298835i
\(593\) −3.26613 + 3.26613i −0.134124 + 0.134124i −0.770981 0.636858i \(-0.780234\pi\)
0.636858 + 0.770981i \(0.280234\pi\)
\(594\) 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
\(598\) −8.71947 2.27733i −0.356566 0.0931271i
\(599\) 6.95501 0.284174 0.142087 0.989854i \(-0.454619\pi\)
0.142087 + 0.989854i \(0.454619\pi\)
\(600\) −31.8223 + 0.391676i −1.29914 + 0.0159901i
\(601\) −2.34998 −0.0958579 −0.0479289 0.998851i \(-0.515262\pi\)
−0.0479289 + 0.998851i \(0.515262\pi\)
\(602\) −19.2693 15.4738i −0.785360 0.630664i
\(603\) −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 0.436085 0.899905i \(-0.356365\pi\)
−0.899905 + 0.436085i \(0.856365\pi\)
\(608\) −27.5081 6.77023i −1.11560 0.274569i
\(609\) −30.5669 −1.23863
\(610\) −15.6578 17.2468i −0.633964 0.698301i
\(611\) 7.67021 + 17.1246i 0.310303 + 0.692786i
\(612\) −9.80024 + 15.3651i −0.396151 + 0.621099i
\(613\) −17.5720 + 17.5720i −0.709725 + 0.709725i −0.966477 0.256752i \(-0.917348\pi\)
0.256752 + 0.966477i \(0.417348\pi\)
\(614\) 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 0.732994 0.680235i \(-0.238122\pi\)
−0.680235 + 0.732994i \(0.738122\pi\)
\(618\) −0.0609845 0.0489721i −0.00245316 0.00196995i
\(619\) 3.36316i 0.135177i −0.997713 0.0675884i \(-0.978470\pi\)
0.997713 0.0675884i \(-0.0215305\pi\)
\(620\) −1.28954 + 0.0781920i −0.0517891 + 0.00314027i
\(621\) −3.72242 −0.149376
\(622\) −16.2207 13.0256i −0.650389 0.522279i
\(623\) −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
\(628\) 20.2345 + 12.9060i 0.807443 + 0.515006i
\(629\) 23.3940 0.932781
\(630\) −0.514437 + 10.6528i −0.0204956 + 0.424416i
\(631\) −21.0999 −0.839972 −0.419986 0.907531i \(-0.637965\pi\)
−0.419986 + 0.907531i \(0.637965\pi\)
\(632\) −35.2695 17.4282i −1.40295 0.693258i
\(633\) 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
\(637\) 14.5880 + 5.56249i 0.577999 + 0.220394i
\(638\) 9.18042 + 7.37211i 0.363456 + 0.291865i
\(639\) 8.56374i 0.338776i
\(640\) −4.54805 + 24.8860i −0.179777 + 0.983707i
\(641\) 11.0927 0.438134 0.219067 0.975710i \(-0.429699\pi\)
0.219067 + 0.975710i \(0.429699\pi\)
\(642\) −17.2324 + 21.4593i −0.680108 + 0.846932i
\(643\) 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 0.263429 0.964679i \(-0.415147\pi\)
−0.964679 + 0.263429i \(0.915147\pi\)
\(648\) 27.7202 + 13.6978i 1.08895 + 0.538100i
\(649\) 13.1075i 0.514515i
\(650\) −5.45896 24.9038i −0.214118 0.976808i
\(651\) 1.06221i 0.0416312i
\(652\) −11.1502 + 17.4816i −0.436674 + 0.684632i
\(653\) −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
\(658\) 9.37662 + 7.52966i 0.365539 + 0.293537i
\(659\) 18.0735 0.704042 0.352021 0.935992i \(-0.385495\pi\)
0.352021 + 0.935992i \(0.385495\pi\)
\(660\) 6.68250 7.54521i 0.260116 0.293697i
\(661\) 39.3650i 1.53112i 0.643364 + 0.765561i \(0.277538\pi\)
−0.643364 + 0.765561i \(0.722462\pi\)
\(662\) 25.0868 31.2404i 0.975027 1.21419i
\(663\) −33.4692 12.7619i −1.29984 0.495633i
\(664\) 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
\(668\) 32.3527 + 20.6353i 1.25176 + 0.798403i
\(669\) 32.3105 1.24920
\(670\) 21.1340 + 1.02059i 0.816476 + 0.0394288i
\(671\) 7.37732 0.284798
\(672\) 20.1975 + 4.97097i 0.779136 + 0.191759i
\(673\) 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 \(0.484057\pi\)
\(678\) 18.9439 23.5906i 0.727534 0.905992i
\(679\) −4.70926 −0.180725
\(680\) −4.70659 27.5214i −0.180489 1.05540i
\(681\) 34.2774i 1.31351i
\(682\) 0.256183 0.319022i 0.00980974 0.0122160i
\(683\) 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
\(688\) −14.6744 + 40.1835i −0.559454 + 1.53198i
\(689\) 23.5694 10.5569i 0.897923 0.402185i
\(690\) −9.31202 + 8.45407i −0.354502 + 0.321841i
\(691\) −26.4329 −1.00555 −0.502777 0.864416i \(-0.667688\pi\)
−0.502777 + 0.864416i \(0.667688\pi\)
\(692\) 2.82531 4.42962i 0.107402 0.168389i
\(693\) −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
\(698\) −7.19267 + 8.95697i −0.272247 + 0.339026i
\(699\) 42.2878 1.59947
\(700\) −10.3868 12.6134i −0.392585 0.476744i
\(701\) −16.5669 −0.625722 −0.312861 0.949799i \(-0.601287\pi\)
−0.312861 + 0.949799i \(0.601287\pi\)
\(702\) −2.71386 + 10.3908i −0.102428 + 0.392177i
\(703\) 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
\(708\) 31.6759 49.6625i 1.19045 1.86643i
\(709\) 39.7153 1.49154 0.745770 0.666203i \(-0.232082\pi\)
0.745770 + 0.666203i \(0.232082\pi\)
\(710\) −8.81905 9.71404i −0.330973 0.364561i
\(711\) 28.7092i 1.07668i
\(712\) 31.6705 + 15.6498i 1.18690 + 0.586501i
\(713\) −0.361022 + 0.361022i −0.0135204 + 0.0135204i
\(714\) −22.8209 + 2.49311i −0.854051 + 0.0933024i
\(715\) 7.00165 + 4.02149i 0.261847 + 0.150395i
\(716\) 10.7104 + 48.4340i 0.400265 + 1.81006i
\(717\) −27.4422 27.4422i −1.02485 1.02485i
\(718\) −26.2906 21.1120i −0.981155 0.787892i
\(719\) −5.97682 −0.222898 −0.111449 0.993770i \(-0.535549\pi\)
−0.111449 + 0.993770i \(0.535549\pi\)
\(720\) 17.7518 5.06989i 0.661572 0.188943i
\(721\) 0.0401570i 0.00149553i
\(722\) 5.38292 6.70331i 0.200332 0.249471i
\(723\) −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 0.285246 0.958454i \(-0.407925\pi\)
−0.958454 + 0.285246i \(0.907925\pi\)
\(728\) −0.630395 + 16.6513i −0.0233640 + 0.617140i
\(729\) 8.34523i 0.309082i
\(730\) 28.9978 + 1.40034i 1.07326 + 0.0518290i
\(731\) 47.2142i 1.74628i
\(732\) 27.9516 + 17.8282i 1.03312 + 0.658949i
\(733\) 12.9042 12.9042i 0.476627 0.476627i −0.427425 0.904051i \(-0.640579\pi\)
0.904051 + 0.427425i \(0.140579\pi\)
\(734\) 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
\(738\) −10.3193 + 12.8506i −0.379860 + 0.473037i
\(739\) 47.6831i 1.75405i −0.480445 0.877025i \(-0.659525\pi\)
0.480445 0.877025i \(-0.340475\pi\)
\(740\) −17.7408 15.7124i −0.652165 0.577598i
\(741\) −37.0830 + 16.6097i −1.36228 + 0.610173i
\(742\) 10.3635 12.9055i 0.380454 0.473776i
\(743\) −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
\(748\) 7.45528 + 4.75515i 0.272592 + 0.173866i
\(749\) −14.1305 −0.516318
\(750\) −33.2702 12.6139i −1.21486 0.460596i
\(751\) 33.1141i 1.20835i 0.796851 + 0.604176i \(0.206497\pi\)
−0.796851 + 0.604176i \(0.793503\pi\)
\(752\) 7.14066 19.5536i 0.260393 0.713047i
\(753\) 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 \(0.210949\pi\)
\(758\) −3.57476 2.87063i −0.129841 0.104266i
\(759\) 3.98322i 0.144582i
\(760\) −25.8508 18.3003i −0.937706 0.663821i
\(761\) 14.4698i 0.524530i −0.964996 0.262265i \(-0.915531\pi\)
0.964996 0.262265i \(-0.0844694\pi\)
\(762\) 7.52336 9.36877i 0.272542 0.339395i
\(763\) 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
\(767\) 44.0922 + 16.8126i 1.59208 + 0.607067i
\(768\) −3.06126 35.8752i −0.110464 1.29454i
\(769\) 19.4815 0.702520 0.351260 0.936278i \(-0.385753\pi\)
0.351260 + 0.936278i \(0.385753\pi\)
\(770\) 5.16880 + 0.249609i 0.186271 + 0.00899527i
\(771\) 1.62402i 0.0584875i
\(772\) 33.9617 + 21.6616i 1.22231 + 0.779617i
\(773\) 10.9215 10.9215i 0.392819 0.392819i −0.482872 0.875691i \(-0.660406\pi\)
0.875691 + 0.482872i \(0.160406\pi\)
\(774\) 31.0338 3.39034i 1.11549 0.121863i
\(775\) −1.37371 0.446314i −0.0493452