Properties

Label 260.2.p.d.103.14
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 103.14
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.417327 + 1.35124i) q^{2} +(-0.561614 + 0.561614i) q^{3} +(-1.65168 - 1.12781i) q^{4} +(2.09189 - 0.789927i) q^{5} +(-0.524497 - 0.993250i) q^{6} +(1.48711 - 1.48711i) q^{7} +(2.21323 - 1.76114i) q^{8} +2.36918i q^{9} +O(q^{10})\) \(q+(-0.417327 + 1.35124i) q^{2} +(-0.561614 + 0.561614i) q^{3} +(-1.65168 - 1.12781i) q^{4} +(2.09189 - 0.789927i) q^{5} +(-0.524497 - 0.993250i) q^{6} +(1.48711 - 1.48711i) q^{7} +(2.21323 - 1.76114i) q^{8} +2.36918i q^{9} +(0.194375 + 3.15630i) q^{10} +5.21705 q^{11} +(1.56100 - 0.294209i) q^{12} +(-3.24368 + 1.57435i) q^{13} +(1.38883 + 2.63005i) q^{14} +(-0.731203 + 1.61847i) q^{15} +(1.45607 + 3.72557i) q^{16} +(0.793724 - 0.793724i) q^{17} +(-3.20132 - 0.988721i) q^{18} -0.101632i q^{19} +(-4.34602 - 1.05456i) q^{20} +1.67036i q^{21} +(-2.17721 + 7.04946i) q^{22} +(-2.99025 + 2.99025i) q^{23} +(-0.253901 + 2.23206i) q^{24} +(3.75203 - 3.30488i) q^{25} +(-0.773642 - 5.03999i) q^{26} +(-3.01541 - 3.01541i) q^{27} +(-4.13341 + 0.779042i) q^{28} +3.15871i q^{29} +(-1.88179 - 1.66346i) q^{30} +5.55833 q^{31} +(-5.64178 + 0.412721i) q^{32} +(-2.92997 + 2.92997i) q^{33} +(0.741267 + 1.40375i) q^{34} +(1.93617 - 4.28558i) q^{35} +(2.67199 - 3.91312i) q^{36} +(3.25224 + 3.25224i) q^{37} +(0.137329 + 0.0424138i) q^{38} +(0.937519 - 2.70587i) q^{39} +(3.23867 - 5.43240i) q^{40} -6.47910i q^{41} +(-2.25706 - 0.697087i) q^{42} +(2.45533 - 2.45533i) q^{43} +(-8.61688 - 5.88386i) q^{44} +(1.87148 + 4.95607i) q^{45} +(-2.79263 - 5.28845i) q^{46} +(-3.39043 + 3.39043i) q^{47} +(-2.91008 - 1.27458i) q^{48} +2.57701i q^{49} +(2.89986 + 6.44910i) q^{50} +0.891534i q^{51} +(7.13307 + 1.05795i) q^{52} +(-6.94382 - 6.94382i) q^{53} +(5.33294 - 2.81612i) q^{54} +(10.9135 - 4.12109i) q^{55} +(0.672311 - 5.91032i) q^{56} +(0.0570780 + 0.0570780i) q^{57} +(-4.26816 - 1.31821i) q^{58} -10.5517i q^{59} +(3.03304 - 1.84853i) q^{60} -1.49686 q^{61} +(-2.31964 + 7.51061i) q^{62} +(3.52323 + 3.52323i) q^{63} +(1.79678 - 7.79561i) q^{64} +(-5.54180 + 5.85563i) q^{65} +(-2.73632 - 5.18183i) q^{66} +(-6.37568 + 6.37568i) q^{67} +(-2.20615 + 0.415803i) q^{68} -3.35874i q^{69} +(4.98282 + 4.40470i) q^{70} -1.73544 q^{71} +(4.17245 + 5.24354i) q^{72} +(5.87285 - 5.87285i) q^{73} +(-5.75179 + 3.03730i) q^{74} +(-0.251124 + 3.96327i) q^{75} +(-0.114622 + 0.167863i) q^{76} +(7.75832 - 7.75832i) q^{77} +(3.26502 + 2.39604i) q^{78} -1.43236 q^{79} +(5.98888 + 6.64330i) q^{80} -3.72054 q^{81} +(8.75480 + 2.70390i) q^{82} +(-10.2973 - 10.2973i) q^{83} +(1.88386 - 2.75890i) q^{84} +(1.03340 - 2.28737i) q^{85} +(2.29306 + 4.34241i) q^{86} +(-1.77398 - 1.77398i) q^{87} +(11.5465 - 9.18794i) q^{88} +6.49614 q^{89} +(-7.47783 + 0.460509i) q^{90} +(-2.48247 + 7.16493i) q^{91} +(8.31138 - 1.56649i) q^{92} +(-3.12164 + 3.12164i) q^{93} +(-3.16635 - 5.99618i) q^{94} +(-0.0802819 - 0.212603i) q^{95} +(2.93671 - 3.40029i) q^{96} +(-6.63009 - 6.63009i) q^{97} +(-3.48215 - 1.07545i) q^{98} +12.3601i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.417327 + 1.35124i −0.295094 + 0.955468i
\(3\) −0.561614 + 0.561614i −0.324248 + 0.324248i −0.850394 0.526146i \(-0.823637\pi\)
0.526146 + 0.850394i \(0.323637\pi\)
\(4\) −1.65168 1.12781i −0.825838 0.563907i
\(5\) 2.09189 0.789927i 0.935523 0.353266i
\(6\) −0.524497 0.993250i −0.214125 0.405493i
\(7\) 1.48711 1.48711i 0.562075 0.562075i −0.367822 0.929896i \(-0.619896\pi\)
0.929896 + 0.367822i \(0.119896\pi\)
\(8\) 2.21323 1.76114i 0.782495 0.622657i
\(9\) 2.36918i 0.789726i
\(10\) 0.194375 + 3.15630i 0.0614668 + 0.998109i
\(11\) 5.21705 1.57300 0.786499 0.617591i \(-0.211891\pi\)
0.786499 + 0.617591i \(0.211891\pi\)
\(12\) 1.56100 0.294209i 0.450622 0.0849309i
\(13\) −3.24368 + 1.57435i −0.899634 + 0.436645i
\(14\) 1.38883 + 2.63005i 0.371179 + 0.702909i
\(15\) −0.731203 + 1.61847i −0.188796 + 0.417887i
\(16\) 1.45607 + 3.72557i 0.364018 + 0.931392i
\(17\) 0.793724 0.793724i 0.192506 0.192506i −0.604272 0.796778i \(-0.706536\pi\)
0.796778 + 0.604272i \(0.206536\pi\)
\(18\) −3.20132 0.988721i −0.754558 0.233044i
\(19\) 0.101632i 0.0233160i −0.999932 0.0116580i \(-0.996289\pi\)
0.999932 0.0116580i \(-0.00371094\pi\)
\(20\) −4.34602 1.05456i −0.971800 0.235807i
\(21\) 1.67036i 0.364503i
\(22\) −2.17721 + 7.04946i −0.464183 + 1.50295i
\(23\) −2.99025 + 2.99025i −0.623511 + 0.623511i −0.946428 0.322916i \(-0.895337\pi\)
0.322916 + 0.946428i \(0.395337\pi\)
\(24\) −0.253901 + 2.23206i −0.0518274 + 0.455618i
\(25\) 3.75203 3.30488i 0.750406 0.660977i
\(26\) −0.773642 5.03999i −0.151724 0.988423i
\(27\) −3.01541 3.01541i −0.580315 0.580315i
\(28\) −4.13341 + 0.779042i −0.781141 + 0.147225i
\(29\) 3.15871i 0.586558i 0.956027 + 0.293279i \(0.0947465\pi\)
−0.956027 + 0.293279i \(0.905254\pi\)
\(30\) −1.88179 1.66346i −0.343566 0.303705i
\(31\) 5.55833 0.998305 0.499152 0.866514i \(-0.333645\pi\)
0.499152 + 0.866514i \(0.333645\pi\)
\(32\) −5.64178 + 0.412721i −0.997335 + 0.0729594i
\(33\) −2.92997 + 2.92997i −0.510042 + 0.510042i
\(34\) 0.741267 + 1.40375i 0.127126 + 0.240741i
\(35\) 1.93617 4.28558i 0.327272 0.724396i
\(36\) 2.67199 3.91312i 0.445332 0.652186i
\(37\) 3.25224 + 3.25224i 0.534665 + 0.534665i 0.921957 0.387292i \(-0.126589\pi\)
−0.387292 + 0.921957i \(0.626589\pi\)
\(38\) 0.137329 + 0.0424138i 0.0222777 + 0.00688042i
\(39\) 0.937519 2.70587i 0.150123 0.433286i
\(40\) 3.23867 5.43240i 0.512079 0.858938i
\(41\) 6.47910i 1.01187i −0.862573 0.505933i \(-0.831148\pi\)
0.862573 0.505933i \(-0.168852\pi\)
\(42\) −2.25706 0.697087i −0.348271 0.107563i
\(43\) 2.45533 2.45533i 0.374435 0.374435i −0.494655 0.869090i \(-0.664705\pi\)
0.869090 + 0.494655i \(0.164705\pi\)
\(44\) −8.61688 5.88386i −1.29904 0.887025i
\(45\) 1.87148 + 4.95607i 0.278983 + 0.738807i
\(46\) −2.79263 5.28845i −0.411750 0.779740i
\(47\) −3.39043 + 3.39043i −0.494545 + 0.494545i −0.909735 0.415190i \(-0.863715\pi\)
0.415190 + 0.909735i \(0.363715\pi\)
\(48\) −2.91008 1.27458i −0.420034 0.183970i
\(49\) 2.57701i 0.368144i
\(50\) 2.89986 + 6.44910i 0.410102 + 0.912040i
\(51\) 0.891534i 0.124840i
\(52\) 7.13307 + 1.05795i 0.989179 + 0.146711i
\(53\) −6.94382 6.94382i −0.953807 0.953807i 0.0451723 0.998979i \(-0.485616\pi\)
−0.998979 + 0.0451723i \(0.985616\pi\)
\(54\) 5.33294 2.81612i 0.725721 0.383225i
\(55\) 10.9135 4.12109i 1.47158 0.555687i
\(56\) 0.672311 5.91032i 0.0898413 0.789800i
\(57\) 0.0570780 + 0.0570780i 0.00756017 + 0.00756017i
\(58\) −4.26816 1.31821i −0.560437 0.173090i
\(59\) 10.5517i 1.37372i −0.726789 0.686860i \(-0.758988\pi\)
0.726789 0.686860i \(-0.241012\pi\)
\(60\) 3.03304 1.84853i 0.391564 0.238644i
\(61\) −1.49686 −0.191653 −0.0958264 0.995398i \(-0.530549\pi\)
−0.0958264 + 0.995398i \(0.530549\pi\)
\(62\) −2.31964 + 7.51061i −0.294594 + 0.953848i
\(63\) 3.52323 + 3.52323i 0.443885 + 0.443885i
\(64\) 1.79678 7.79561i 0.224598 0.974452i
\(65\) −5.54180 + 5.85563i −0.687376 + 0.726302i
\(66\) −2.73632 5.18183i −0.336818 0.637840i
\(67\) −6.37568 + 6.37568i −0.778914 + 0.778914i −0.979646 0.200732i \(-0.935668\pi\)
0.200732 + 0.979646i \(0.435668\pi\)
\(68\) −2.20615 + 0.415803i −0.267535 + 0.0504236i
\(69\) 3.35874i 0.404345i
\(70\) 4.98282 + 4.40470i 0.595561 + 0.526463i
\(71\) −1.73544 −0.205959 −0.102979 0.994683i \(-0.532838\pi\)
−0.102979 + 0.994683i \(0.532838\pi\)
\(72\) 4.17245 + 5.24354i 0.491728 + 0.617957i
\(73\) 5.87285 5.87285i 0.687366 0.687366i −0.274283 0.961649i \(-0.588441\pi\)
0.961649 + 0.274283i \(0.0884406\pi\)
\(74\) −5.75179 + 3.03730i −0.668632 + 0.353079i
\(75\) −0.251124 + 3.96327i −0.0289973 + 0.457638i
\(76\) −0.114622 + 0.167863i −0.0131480 + 0.0192552i
\(77\) 7.75832 7.75832i 0.884143 0.884143i
\(78\) 3.26502 + 2.39604i 0.369690 + 0.271298i
\(79\) −1.43236 −0.161153 −0.0805767 0.996748i \(-0.525676\pi\)
−0.0805767 + 0.996748i \(0.525676\pi\)
\(80\) 5.98888 + 6.64330i 0.669577 + 0.742743i
\(81\) −3.72054 −0.413394
\(82\) 8.75480 + 2.70390i 0.966806 + 0.298596i
\(83\) −10.2973 10.2973i −1.13028 1.13028i −0.990131 0.140144i \(-0.955243\pi\)
−0.140144 0.990131i \(-0.544757\pi\)
\(84\) 1.88386 2.75890i 0.205546 0.301021i
\(85\) 1.03340 2.28737i 0.112088 0.248100i
\(86\) 2.29306 + 4.34241i 0.247267 + 0.468254i
\(87\) −1.77398 1.77398i −0.190190 0.190190i
\(88\) 11.5465 9.18794i 1.23086 0.979438i
\(89\) 6.49614 0.688589 0.344295 0.938862i \(-0.388118\pi\)
0.344295 + 0.938862i \(0.388118\pi\)
\(90\) −7.47783 + 0.460509i −0.788233 + 0.0485419i
\(91\) −2.48247 + 7.16493i −0.260234 + 0.751089i
\(92\) 8.31138 1.56649i 0.866522 0.163317i
\(93\) −3.12164 + 3.12164i −0.323699 + 0.323699i
\(94\) −3.16635 5.99618i −0.326584 0.618459i
\(95\) −0.0802819 0.212603i −0.00823675 0.0218126i
\(96\) 2.93671 3.40029i 0.299727 0.347041i
\(97\) −6.63009 6.63009i −0.673184 0.673184i 0.285265 0.958449i \(-0.407918\pi\)
−0.958449 + 0.285265i \(0.907918\pi\)
\(98\) −3.48215 1.07545i −0.351750 0.108637i
\(99\) 12.3601i 1.24224i
\(100\) −9.92444 + 1.22701i −0.992444 + 0.122701i
\(101\) −18.8956 −1.88018 −0.940092 0.340920i \(-0.889262\pi\)
−0.940092 + 0.340920i \(0.889262\pi\)
\(102\) −1.20467 0.372061i −0.119280 0.0368395i
\(103\) −7.95014 + 7.95014i −0.783351 + 0.783351i −0.980395 0.197044i \(-0.936866\pi\)
0.197044 + 0.980395i \(0.436866\pi\)
\(104\) −4.40636 + 9.19696i −0.432079 + 0.901836i
\(105\) 1.31947 + 3.49422i 0.128767 + 0.341001i
\(106\) 12.2806 6.48490i 1.19280 0.629869i
\(107\) −13.3326 13.3326i −1.28891 1.28891i −0.935448 0.353463i \(-0.885004\pi\)
−0.353463 0.935448i \(-0.614996\pi\)
\(108\) 1.57966 + 8.38130i 0.152003 + 0.806491i
\(109\) −17.2986 −1.65690 −0.828451 0.560062i \(-0.810777\pi\)
−0.828451 + 0.560062i \(0.810777\pi\)
\(110\) 1.01406 + 16.4666i 0.0966872 + 1.57002i
\(111\) −3.65301 −0.346728
\(112\) 7.70567 + 3.37499i 0.728117 + 0.318906i
\(113\) 11.9985 + 11.9985i 1.12872 + 1.12872i 0.990386 + 0.138334i \(0.0441746\pi\)
0.138334 + 0.990386i \(0.455825\pi\)
\(114\) −0.100946 + 0.0533057i −0.00945446 + 0.00499254i
\(115\) −3.89321 + 8.61737i −0.363044 + 0.803574i
\(116\) 3.56244 5.21717i 0.330764 0.484402i
\(117\) −3.72991 7.68485i −0.344830 0.710464i
\(118\) 14.2579 + 4.40353i 1.31255 + 0.405377i
\(119\) 2.36071i 0.216406i
\(120\) 1.23203 + 4.86980i 0.112469 + 0.444550i
\(121\) 16.2176 1.47433
\(122\) 0.624678 2.02261i 0.0565557 0.183118i
\(123\) 3.63876 + 3.63876i 0.328096 + 0.328096i
\(124\) −9.18056 6.26875i −0.824439 0.562951i
\(125\) 5.23823 9.87729i 0.468521 0.883452i
\(126\) −6.23105 + 3.29038i −0.555106 + 0.293130i
\(127\) 4.63191 + 4.63191i 0.411016 + 0.411016i 0.882092 0.471077i \(-0.156134\pi\)
−0.471077 + 0.882092i \(0.656134\pi\)
\(128\) 9.78387 + 5.68119i 0.864780 + 0.502151i
\(129\) 2.75790i 0.242820i
\(130\) −5.59960 9.93199i −0.491117 0.871093i
\(131\) 20.8492i 1.82161i 0.412840 + 0.910804i \(0.364537\pi\)
−0.412840 + 0.910804i \(0.635463\pi\)
\(132\) 8.14382 1.53490i 0.708829 0.133596i
\(133\) −0.151138 0.151138i −0.0131053 0.0131053i
\(134\) −5.95431 11.2758i −0.514374 0.974080i
\(135\) −8.68986 3.92596i −0.747904 0.337893i
\(136\) 0.358837 3.15455i 0.0307700 0.270501i
\(137\) −0.119502 0.119502i −0.0102097 0.0102097i 0.701983 0.712193i \(-0.252298\pi\)
−0.712193 + 0.701983i \(0.752298\pi\)
\(138\) 4.53845 + 1.40169i 0.386338 + 0.119320i
\(139\) 20.1901 1.71250 0.856252 0.516559i \(-0.172787\pi\)
0.856252 + 0.516559i \(0.172787\pi\)
\(140\) −8.03126 + 4.89476i −0.678765 + 0.413683i
\(141\) 3.80823i 0.320710i
\(142\) 0.724245 2.34499i 0.0607773 0.196787i
\(143\) −16.9224 + 8.21344i −1.41512 + 0.686843i
\(144\) −8.82653 + 3.44970i −0.735544 + 0.287475i
\(145\) 2.49515 + 6.60769i 0.207211 + 0.548738i
\(146\) 5.48471 + 10.3865i 0.453918 + 0.859594i
\(147\) −1.44729 1.44729i −0.119370 0.119370i
\(148\) −1.70373 9.03957i −0.140046 0.743048i
\(149\) 9.51723 0.779682 0.389841 0.920882i \(-0.372530\pi\)
0.389841 + 0.920882i \(0.372530\pi\)
\(150\) −5.25051 1.99330i −0.428702 0.162753i
\(151\) 3.70969 0.301890 0.150945 0.988542i \(-0.451768\pi\)
0.150945 + 0.988542i \(0.451768\pi\)
\(152\) −0.178988 0.224935i −0.0145179 0.0182447i
\(153\) 1.88048 + 1.88048i 0.152027 + 0.152027i
\(154\) 7.24557 + 13.7211i 0.583865 + 1.10568i
\(155\) 11.6274 4.39067i 0.933937 0.352667i
\(156\) −4.60020 + 3.41188i −0.368310 + 0.273169i
\(157\) −2.55204 + 2.55204i −0.203675 + 0.203675i −0.801573 0.597898i \(-0.796003\pi\)
0.597898 + 0.801573i \(0.296003\pi\)
\(158\) 0.597763 1.93546i 0.0475555 0.153977i
\(159\) 7.79950 0.618540
\(160\) −11.4760 + 5.31996i −0.907256 + 0.420580i
\(161\) 8.89367i 0.700920i
\(162\) 1.55268 5.02733i 0.121990 0.394985i
\(163\) 3.79158 + 3.79158i 0.296979 + 0.296979i 0.839830 0.542850i \(-0.182655\pi\)
−0.542850 + 0.839830i \(0.682655\pi\)
\(164\) −7.30722 + 10.7014i −0.570598 + 0.835638i
\(165\) −3.81472 + 8.44364i −0.296975 + 0.657337i
\(166\) 18.2114 9.61674i 1.41348 0.746404i
\(167\) −8.86404 + 8.86404i −0.685920 + 0.685920i −0.961328 0.275408i \(-0.911187\pi\)
0.275408 + 0.961328i \(0.411187\pi\)
\(168\) 2.94174 + 3.69690i 0.226960 + 0.285222i
\(169\) 8.04286 10.2133i 0.618682 0.785642i
\(170\) 2.65951 + 2.35095i 0.203975 + 0.180310i
\(171\) 0.240784 0.0184132
\(172\) −6.82458 + 1.28626i −0.520369 + 0.0980764i
\(173\) −8.52255 8.52255i −0.647958 0.647958i 0.304541 0.952499i \(-0.401497\pi\)
−0.952499 + 0.304541i \(0.901497\pi\)
\(174\) 3.13739 1.65673i 0.237845 0.125597i
\(175\) 0.664955 10.4944i 0.0502659 0.793303i
\(176\) 7.59640 + 19.4365i 0.572601 + 1.46508i
\(177\) 5.92601 + 5.92601i 0.445426 + 0.445426i
\(178\) −2.71101 + 8.77782i −0.203199 + 0.657925i
\(179\) −19.5455 −1.46090 −0.730449 0.682967i \(-0.760689\pi\)
−0.730449 + 0.682967i \(0.760689\pi\)
\(180\) 2.49844 10.2965i 0.186223 0.767456i
\(181\) −11.2087 −0.833132 −0.416566 0.909105i \(-0.636767\pi\)
−0.416566 + 0.909105i \(0.636767\pi\)
\(182\) −8.64551 6.34452i −0.640847 0.470287i
\(183\) 0.840656 0.840656i 0.0621431 0.0621431i
\(184\) −1.35187 + 11.8844i −0.0996612 + 0.876128i
\(185\) 9.37237 + 4.23431i 0.689070 + 0.311312i
\(186\) −2.91532 5.52081i −0.213762 0.404805i
\(187\) 4.14090 4.14090i 0.302812 0.302812i
\(188\) 9.42366 1.77612i 0.687291 0.129537i
\(189\) −8.96848 −0.652361
\(190\) 0.320781 0.0197547i 0.0232719 0.00143316i
\(191\) 14.4302i 1.04414i −0.852904 0.522068i \(-0.825161\pi\)
0.852904 0.522068i \(-0.174839\pi\)
\(192\) 3.36903 + 5.38723i 0.243139 + 0.388790i
\(193\) 7.31079 7.31079i 0.526242 0.526242i −0.393207 0.919450i \(-0.628635\pi\)
0.919450 + 0.393207i \(0.128635\pi\)
\(194\) 11.7257 6.19190i 0.841858 0.444553i
\(195\) −0.176251 6.40096i −0.0126216 0.458382i
\(196\) 2.90639 4.25639i 0.207599 0.304028i
\(197\) 4.58324 + 4.58324i 0.326542 + 0.326542i 0.851270 0.524728i \(-0.175833\pi\)
−0.524728 + 0.851270i \(0.675833\pi\)
\(198\) −16.7014 5.15821i −1.18692 0.366578i
\(199\) 1.85757 0.131680 0.0658398 0.997830i \(-0.479027\pi\)
0.0658398 + 0.997830i \(0.479027\pi\)
\(200\) 2.48375 13.9223i 0.175628 0.984457i
\(201\) 7.16135i 0.505123i
\(202\) 7.88565 25.5324i 0.554832 1.79646i
\(203\) 4.69735 + 4.69735i 0.329689 + 0.329689i
\(204\) 1.00548 1.47253i 0.0703980 0.103097i
\(205\) −5.11802 13.5536i −0.357458 0.946624i
\(206\) −7.42471 14.0603i −0.517304 0.979629i
\(207\) −7.08445 7.08445i −0.492403 0.492403i
\(208\) −10.5884 9.79217i −0.734171 0.678965i
\(209\) 0.530219i 0.0366760i
\(210\) −5.27217 + 0.324677i −0.363814 + 0.0224048i
\(211\) 4.26614i 0.293694i −0.989159 0.146847i \(-0.953088\pi\)
0.989159 0.146847i \(-0.0469124\pi\)
\(212\) 3.63761 + 19.3003i 0.249832 + 1.32555i
\(213\) 0.974647 0.974647i 0.0667817 0.0667817i
\(214\) 23.5795 12.4514i 1.61186 0.851163i
\(215\) 3.19676 7.07583i 0.218017 0.482568i
\(216\) −11.9843 1.36324i −0.815431 0.0927569i
\(217\) 8.26584 8.26584i 0.561122 0.561122i
\(218\) 7.21915 23.3744i 0.488943 1.58312i
\(219\) 6.59656i 0.445754i
\(220\) −22.6734 5.50169i −1.52864 0.370924i
\(221\) −1.32499 + 3.82418i −0.0891283 + 0.257242i
\(222\) 1.52450 4.93608i 0.102318 0.331288i
\(223\) 12.0709 + 12.0709i 0.808329 + 0.808329i 0.984381 0.176052i \(-0.0563328\pi\)
−0.176052 + 0.984381i \(0.556333\pi\)
\(224\) −7.77618 + 9.00370i −0.519568 + 0.601585i
\(225\) 7.82986 + 8.88923i 0.521991 + 0.592615i
\(226\) −21.2200 + 11.2055i −1.41153 + 0.745376i
\(227\) 9.70954 9.70954i 0.644445 0.644445i −0.307200 0.951645i \(-0.599392\pi\)
0.951645 + 0.307200i \(0.0993920\pi\)
\(228\) −0.0299011 0.158648i −0.00198025 0.0105067i
\(229\) −9.74332 −0.643856 −0.321928 0.946764i \(-0.604331\pi\)
−0.321928 + 0.946764i \(0.604331\pi\)
\(230\) −10.0194 8.85690i −0.660657 0.584007i
\(231\) 8.71437i 0.573363i
\(232\) 5.56293 + 6.99096i 0.365224 + 0.458979i
\(233\) 2.40053 + 2.40053i 0.157264 + 0.157264i 0.781353 0.624089i \(-0.214530\pi\)
−0.624089 + 0.781353i \(0.714530\pi\)
\(234\) 11.9406 1.83290i 0.780584 0.119820i
\(235\) −4.41422 + 9.77060i −0.287952 + 0.637364i
\(236\) −11.9004 + 17.4281i −0.774650 + 1.13447i
\(237\) 0.804435 0.804435i 0.0522537 0.0522537i
\(238\) 3.18988 + 0.985187i 0.206769 + 0.0638602i
\(239\) 14.8314i 0.959363i −0.877443 0.479682i \(-0.840752\pi\)
0.877443 0.479682i \(-0.159248\pi\)
\(240\) −7.09441 0.367532i −0.457942 0.0237241i
\(241\) 9.39857i 0.605415i 0.953083 + 0.302708i \(0.0978906\pi\)
−0.953083 + 0.302708i \(0.902109\pi\)
\(242\) −6.76803 + 21.9138i −0.435065 + 1.40867i
\(243\) 11.1357 11.1357i 0.714358 0.714358i
\(244\) 2.47232 + 1.68817i 0.158274 + 0.108074i
\(245\) 2.03565 + 5.39083i 0.130053 + 0.344407i
\(246\) −6.43537 + 3.39827i −0.410304 + 0.216666i
\(247\) 0.160004 + 0.329661i 0.0101808 + 0.0209759i
\(248\) 12.3019 9.78898i 0.781169 0.621601i
\(249\) 11.5662 0.732979
\(250\) 11.1605 + 11.2001i 0.705852 + 0.708359i
\(251\) 12.8154i 0.808900i −0.914560 0.404450i \(-0.867463\pi\)
0.914560 0.404450i \(-0.132537\pi\)
\(252\) −1.84569 9.79278i −0.116268 0.616887i
\(253\) −15.6003 + 15.6003i −0.980782 + 0.980782i
\(254\) −8.19182 + 4.32578i −0.514001 + 0.271424i
\(255\) 0.704247 + 1.86499i 0.0441016 + 0.116790i
\(256\) −11.7597 + 10.8494i −0.734981 + 0.678087i
\(257\) 4.63552 4.63552i 0.289156 0.289156i −0.547591 0.836746i \(-0.684455\pi\)
0.836746 + 0.547591i \(0.184455\pi\)
\(258\) −3.72658 1.15095i −0.232006 0.0716548i
\(259\) 9.67288 0.601043
\(260\) 15.7573 3.42149i 0.977228 0.212192i
\(261\) −7.48355 −0.463220
\(262\) −28.1723 8.70095i −1.74049 0.537546i
\(263\) 21.0322 21.0322i 1.29690 1.29690i 0.366472 0.930429i \(-0.380565\pi\)
0.930429 0.366472i \(-0.119435\pi\)
\(264\) −1.32462 + 11.6448i −0.0815245 + 0.716687i
\(265\) −20.0108 9.04062i −1.22926 0.555361i
\(266\) 0.267297 0.141149i 0.0163890 0.00865441i
\(267\) −3.64833 + 3.64833i −0.223274 + 0.223274i
\(268\) 17.7212 3.33999i 1.08249 0.204022i
\(269\) 11.3028i 0.689143i −0.938760 0.344572i \(-0.888024\pi\)
0.938760 0.344572i \(-0.111976\pi\)
\(270\) 8.93141 10.1036i 0.543548 0.614888i
\(271\) 0.932858 0.0566671 0.0283335 0.999599i \(-0.490980\pi\)
0.0283335 + 0.999599i \(0.490980\pi\)
\(272\) 4.11279 + 1.80135i 0.249375 + 0.109223i
\(273\) −2.62973 5.41812i −0.159159 0.327920i
\(274\) 0.211346 0.111604i 0.0127679 0.00674223i
\(275\) 19.5745 17.2417i 1.18039 1.03972i
\(276\) −3.78803 + 5.54755i −0.228013 + 0.333923i
\(277\) −15.7265 + 15.7265i −0.944912 + 0.944912i −0.998560 0.0536481i \(-0.982915\pi\)
0.0536481 + 0.998560i \(0.482915\pi\)
\(278\) −8.42587 + 27.2816i −0.505350 + 1.63624i
\(279\) 13.1687i 0.788387i
\(280\) −3.26232 12.8948i −0.194961 0.770614i
\(281\) 30.0274i 1.79128i 0.444775 + 0.895642i \(0.353284\pi\)
−0.444775 + 0.895642i \(0.646716\pi\)
\(282\) 5.14581 + 1.58927i 0.306429 + 0.0946399i
\(283\) −14.6116 + 14.6116i −0.868570 + 0.868570i −0.992314 0.123744i \(-0.960510\pi\)
0.123744 + 0.992314i \(0.460510\pi\)
\(284\) 2.86638 + 1.95725i 0.170089 + 0.116142i
\(285\) 0.164489 + 0.0743136i 0.00974346 + 0.00440196i
\(286\) −4.03613 26.2939i −0.238661 1.55479i
\(287\) −9.63514 9.63514i −0.568744 0.568744i
\(288\) −0.977809 13.3664i −0.0576179 0.787622i
\(289\) 15.7400i 0.925883i
\(290\) −9.96983 + 0.613975i −0.585449 + 0.0360538i
\(291\) 7.44711 0.436557
\(292\) −16.3235 + 3.07657i −0.955263 + 0.180043i
\(293\) 8.55742 8.55742i 0.499930 0.499930i −0.411486 0.911416i \(-0.634990\pi\)
0.911416 + 0.411486i \(0.134990\pi\)
\(294\) 2.55962 1.35163i 0.149280 0.0788289i
\(295\) −8.33511 22.0731i −0.485289 1.28515i
\(296\) 12.9256 + 1.47031i 0.751286 + 0.0854602i
\(297\) −15.7315 15.7315i −0.912836 0.912836i
\(298\) −3.97179 + 12.8600i −0.230080 + 0.744961i
\(299\) 4.99172 14.4071i 0.288678 0.833185i
\(300\) 4.88460 6.26281i 0.282012 0.361584i
\(301\) 7.30270i 0.420921i
\(302\) −1.54815 + 5.01267i −0.0890861 + 0.288446i
\(303\) 10.6121 10.6121i 0.609647 0.609647i
\(304\) 0.378637 0.147984i 0.0217163 0.00848745i
\(305\) −3.13126 + 1.18241i −0.179296 + 0.0677044i
\(306\) −3.32574 + 1.75619i −0.190120 + 0.100395i
\(307\) 13.3065 13.3065i 0.759441 0.759441i −0.216779 0.976221i \(-0.569555\pi\)
0.976221 + 0.216779i \(0.0695552\pi\)
\(308\) −21.5642 + 4.06430i −1.22873 + 0.231585i
\(309\) 8.92983i 0.508000i
\(310\) 1.08040 + 17.5437i 0.0613626 + 0.996417i
\(311\) 12.3858i 0.702336i 0.936313 + 0.351168i \(0.114215\pi\)
−0.936313 + 0.351168i \(0.885785\pi\)
\(312\) −2.69047 7.63982i −0.152318 0.432519i
\(313\) −9.10805 9.10805i −0.514817 0.514817i 0.401181 0.915999i \(-0.368600\pi\)
−0.915999 + 0.401181i \(0.868600\pi\)
\(314\) −2.38337 4.51344i −0.134502 0.254708i
\(315\) 10.1533 + 4.58712i 0.572074 + 0.258455i
\(316\) 2.36580 + 1.61544i 0.133087 + 0.0908755i
\(317\) 9.85317 + 9.85317i 0.553409 + 0.553409i 0.927423 0.374014i \(-0.122019\pi\)
−0.374014 + 0.927423i \(0.622019\pi\)
\(318\) −3.25494 + 10.5390i −0.182528 + 0.590996i
\(319\) 16.4791i 0.922655i
\(320\) −2.39929 17.7269i −0.134124 0.990965i
\(321\) 14.9756 0.835855
\(322\) −12.0174 3.71157i −0.669706 0.206838i
\(323\) −0.0806678 0.0806678i −0.00448848 0.00448848i
\(324\) 6.14514 + 4.19608i 0.341396 + 0.233116i
\(325\) −6.96734 + 16.6270i −0.386478 + 0.922299i
\(326\) −6.70564 + 3.54099i −0.371391 + 0.196117i
\(327\) 9.71512 9.71512i 0.537247 0.537247i
\(328\) −11.4106 14.3398i −0.630045 0.791780i
\(329\) 10.0839i 0.555942i
\(330\) −9.81737 8.67834i −0.540428 0.477727i
\(331\) −26.8753 −1.47720 −0.738599 0.674145i \(-0.764512\pi\)
−0.738599 + 0.674145i \(0.764512\pi\)
\(332\) 5.39438 + 28.6212i 0.296055 + 1.57079i
\(333\) −7.70514 + 7.70514i −0.422239 + 0.422239i
\(334\) −8.27821 15.6766i −0.452963 0.857786i
\(335\) −8.30092 + 18.3736i −0.453528 + 1.00386i
\(336\) −6.22305 + 2.43217i −0.339495 + 0.132686i
\(337\) −11.8914 + 11.8914i −0.647768 + 0.647768i −0.952453 0.304685i \(-0.901449\pi\)
0.304685 + 0.952453i \(0.401449\pi\)
\(338\) 10.4441 + 15.1301i 0.568086 + 0.822969i
\(339\) −13.4770 −0.731970
\(340\) −4.28657 + 2.61251i −0.232472 + 0.141683i
\(341\) 28.9980 1.57033
\(342\) −0.100486 + 0.325357i −0.00543365 + 0.0175933i
\(343\) 14.2421 + 14.2421i 0.768999 + 0.768999i
\(344\) 1.11004 9.75841i 0.0598492 0.526138i
\(345\) −2.65316 7.02612i −0.142841 0.378274i
\(346\) 15.0727 7.95929i 0.810312 0.427894i
\(347\) 7.80289 + 7.80289i 0.418881 + 0.418881i 0.884818 0.465937i \(-0.154283\pi\)
−0.465937 + 0.884818i \(0.654283\pi\)
\(348\) 0.929322 + 4.93075i 0.0498169 + 0.264316i
\(349\) 23.0829 1.23560 0.617799 0.786336i \(-0.288025\pi\)
0.617799 + 0.786336i \(0.288025\pi\)
\(350\) 13.9029 + 5.27811i 0.743142 + 0.282127i
\(351\) 14.5283 + 5.03371i 0.775463 + 0.268679i
\(352\) −29.4334 + 2.15318i −1.56881 + 0.114765i
\(353\) 12.4513 12.4513i 0.662717 0.662717i −0.293303 0.956020i \(-0.594754\pi\)
0.956020 + 0.293303i \(0.0947544\pi\)
\(354\) −10.4805 + 5.53436i −0.557034 + 0.294148i
\(355\) −3.63035 + 1.37087i −0.192679 + 0.0727582i
\(356\) −10.7295 7.32643i −0.568664 0.388300i
\(357\) 1.32581 + 1.32581i 0.0701692 + 0.0701692i
\(358\) 8.15685 26.4106i 0.431103 1.39584i
\(359\) 1.28531i 0.0678361i −0.999425 0.0339181i \(-0.989201\pi\)
0.999425 0.0339181i \(-0.0107985\pi\)
\(360\) 12.8703 + 7.67299i 0.678326 + 0.404402i
\(361\) 18.9897 0.999456
\(362\) 4.67767 15.1455i 0.245853 0.796031i
\(363\) −9.10803 + 9.10803i −0.478047 + 0.478047i
\(364\) 12.1809 9.03438i 0.638455 0.473530i
\(365\) 7.64626 16.9245i 0.400223 0.885869i
\(366\) 0.785096 + 1.48675i 0.0410376 + 0.0777138i
\(367\) 3.03025 + 3.03025i 0.158178 + 0.158178i 0.781759 0.623581i \(-0.214323\pi\)
−0.623581 + 0.781759i \(0.714323\pi\)
\(368\) −15.4944 6.78636i −0.807703 0.353764i
\(369\) 15.3502 0.799097
\(370\) −9.63289 + 10.8972i −0.500790 + 0.566518i
\(371\) −20.6524 −1.07222
\(372\) 8.67656 1.63531i 0.449858 0.0847869i
\(373\) 12.5458 + 12.5458i 0.649597 + 0.649597i 0.952896 0.303299i \(-0.0980879\pi\)
−0.303299 + 0.952896i \(0.598088\pi\)
\(374\) 3.86722 + 7.32344i 0.199969 + 0.378686i
\(375\) 2.60537 + 8.48910i 0.134541 + 0.438375i
\(376\) −1.53279 + 13.4748i −0.0790474 + 0.694910i
\(377\) −4.97291 10.2458i −0.256118 0.527687i
\(378\) 3.74279 12.1185i 0.192508 0.623310i
\(379\) 19.8910i 1.02173i 0.859660 + 0.510866i \(0.170675\pi\)
−0.859660 + 0.510866i \(0.829325\pi\)
\(380\) −0.107177 + 0.441695i −0.00549807 + 0.0226585i
\(381\) −5.20269 −0.266542
\(382\) 19.4987 + 6.02212i 0.997638 + 0.308119i
\(383\) 1.94725 + 1.94725i 0.0994996 + 0.0994996i 0.755104 0.655605i \(-0.227586\pi\)
−0.655605 + 0.755104i \(0.727586\pi\)
\(384\) −8.68540 + 2.30412i −0.443225 + 0.117582i
\(385\) 10.1011 22.3581i 0.514798 1.13947i
\(386\) 6.82762 + 12.9296i 0.347517 + 0.658099i
\(387\) 5.81713 + 5.81713i 0.295701 + 0.295701i
\(388\) 3.47326 + 18.4283i 0.176328 + 0.935554i
\(389\) 15.2218i 0.771778i 0.922545 + 0.385889i \(0.126105\pi\)
−0.922545 + 0.385889i \(0.873895\pi\)
\(390\) 8.72276 + 2.43314i 0.441694 + 0.123207i
\(391\) 4.74688i 0.240060i
\(392\) 4.53847 + 5.70352i 0.229227 + 0.288071i
\(393\) −11.7092 11.7092i −0.590653 0.590653i
\(394\) −8.10574 + 4.28033i −0.408361 + 0.215640i
\(395\) −2.99635 + 1.13146i −0.150763 + 0.0569300i
\(396\) 13.9399 20.4149i 0.700507 1.02589i
\(397\) 6.29063 + 6.29063i 0.315718 + 0.315718i 0.847120 0.531402i \(-0.178335\pi\)
−0.531402 + 0.847120i \(0.678335\pi\)
\(398\) −0.775213 + 2.51001i −0.0388579 + 0.125816i
\(399\) 0.169763 0.00849876
\(400\) 17.7758 + 9.16629i 0.888790 + 0.458314i
\(401\) 9.05500i 0.452185i 0.974106 + 0.226093i \(0.0725952\pi\)
−0.974106 + 0.226093i \(0.927405\pi\)
\(402\) 9.67667 + 2.98862i 0.482629 + 0.149059i
\(403\) −18.0294 + 8.75073i −0.898109 + 0.435905i
\(404\) 31.2095 + 21.3107i 1.55273 + 1.06025i
\(405\) −7.78298 + 2.93896i −0.386739 + 0.146038i
\(406\) −8.30756 + 4.38690i −0.412297 + 0.217718i
\(407\) 16.9671 + 16.9671i 0.841028 + 0.841028i
\(408\) 1.57012 + 1.97317i 0.0777323 + 0.0976865i
\(409\) 9.54287 0.471865 0.235932 0.971769i \(-0.424186\pi\)
0.235932 + 0.971769i \(0.424186\pi\)
\(410\) 20.4500 1.25938i 1.00995 0.0621961i
\(411\) 0.134228 0.00662097
\(412\) 22.0973 4.16479i 1.08866 0.205184i
\(413\) −15.6916 15.6916i −0.772133 0.772133i
\(414\) 12.5293 6.61623i 0.615781 0.325170i
\(415\) −29.6750 13.4067i −1.45669 0.658110i
\(416\) 17.6503 10.2208i 0.865379 0.501118i
\(417\) −11.3391 + 11.3391i −0.555276 + 0.555276i
\(418\) 0.716451 + 0.221275i 0.0350428 + 0.0108229i
\(419\) −17.1056 −0.835662 −0.417831 0.908525i \(-0.637210\pi\)
−0.417831 + 0.908525i \(0.637210\pi\)
\(420\) 1.76150 7.25944i 0.0859524 0.354224i
\(421\) 7.59120i 0.369972i −0.982741 0.184986i \(-0.940776\pi\)
0.982741 0.184986i \(-0.0592240\pi\)
\(422\) 5.76457 + 1.78038i 0.280615 + 0.0866673i
\(423\) −8.03253 8.03253i −0.390555 0.390555i
\(424\) −27.5973 3.13925i −1.34024 0.152455i
\(425\) 0.354911 5.60125i 0.0172157 0.271700i
\(426\) 0.910232 + 1.72372i 0.0441009 + 0.0835147i
\(427\) −2.22599 + 2.22599i −0.107723 + 0.107723i
\(428\) 6.98447 + 37.0578i 0.337607 + 1.79126i
\(429\) 4.89108 14.1167i 0.236144 0.681559i
\(430\) 8.22702 + 7.27251i 0.396742 + 0.350712i
\(431\) −28.3057 −1.36344 −0.681718 0.731615i \(-0.738767\pi\)
−0.681718 + 0.731615i \(0.738767\pi\)
\(432\) 6.84345 15.6248i 0.329256 0.751747i
\(433\) 12.4675 + 12.4675i 0.599151 + 0.599151i 0.940087 0.340936i \(-0.110744\pi\)
−0.340936 + 0.940087i \(0.610744\pi\)
\(434\) 7.71954 + 14.6187i 0.370550 + 0.701718i
\(435\) −5.11228 2.30966i −0.245115 0.110740i
\(436\) 28.5716 + 19.5096i 1.36833 + 0.934338i
\(437\) 0.303906 + 0.303906i 0.0145378 + 0.0145378i
\(438\) −8.91351 2.75292i −0.425904 0.131540i
\(439\) −0.183524 −0.00875913 −0.00437956 0.999990i \(-0.501394\pi\)
−0.00437956 + 0.999990i \(0.501394\pi\)
\(440\) 16.8963 28.3411i 0.805499 1.35111i
\(441\) −6.10540 −0.290733
\(442\) −4.61442 3.38630i −0.219486 0.161070i
\(443\) 5.69369 5.69369i 0.270516 0.270516i −0.558792 0.829308i \(-0.688735\pi\)
0.829308 + 0.558792i \(0.188735\pi\)
\(444\) 6.03359 + 4.11991i 0.286342 + 0.195522i
\(445\) 13.5892 5.13148i 0.644191 0.243255i
\(446\) −21.3482 + 11.2731i −1.01087 + 0.533799i
\(447\) −5.34501 + 5.34501i −0.252810 + 0.252810i
\(448\) −8.92092 14.2649i −0.421474 0.673955i
\(449\) −33.2458 −1.56896 −0.784482 0.620151i \(-0.787071\pi\)
−0.784482 + 0.620151i \(0.787071\pi\)
\(450\) −15.2791 + 6.87028i −0.720262 + 0.323868i
\(451\) 33.8018i 1.59166i
\(452\) −6.28555 33.3496i −0.295647 1.56863i
\(453\) −2.08341 + 2.08341i −0.0978874 + 0.0978874i
\(454\) 9.06783 + 17.1719i 0.425575 + 0.805919i
\(455\) 0.466699 + 16.9492i 0.0218792 + 0.794592i
\(456\) 0.226849 + 0.0258045i 0.0106232 + 0.00120841i
\(457\) 4.43340 + 4.43340i 0.207386 + 0.207386i 0.803155 0.595770i \(-0.203153\pi\)
−0.595770 + 0.803155i \(0.703153\pi\)
\(458\) 4.06615 13.1655i 0.189998 0.615184i
\(459\) −4.78681 −0.223429
\(460\) 16.1491 9.84230i 0.752956 0.458900i
\(461\) 32.9895i 1.53648i −0.640165 0.768238i \(-0.721134\pi\)
0.640165 0.768238i \(-0.278866\pi\)
\(462\) −11.7752 3.63674i −0.547830 0.169196i
\(463\) −14.2854 14.2854i −0.663897 0.663897i 0.292399 0.956296i \(-0.405546\pi\)
−0.956296 + 0.292399i \(0.905546\pi\)
\(464\) −11.7680 + 4.59932i −0.546315 + 0.213518i
\(465\) −4.06426 + 8.99599i −0.188476 + 0.417179i
\(466\) −4.24548 + 2.24187i −0.196668 + 0.103853i
\(467\) 21.2595 + 21.2595i 0.983774 + 0.983774i 0.999870 0.0160967i \(-0.00512396\pi\)
−0.0160967 + 0.999870i \(0.505124\pi\)
\(468\) −2.50647 + 16.8995i −0.115862 + 0.781181i
\(469\) 18.9627i 0.875615i
\(470\) −11.3602 10.0422i −0.524008 0.463212i
\(471\) 2.86652i 0.132082i
\(472\) −18.5831 23.3535i −0.855356 1.07493i
\(473\) 12.8096 12.8096i 0.588986 0.588986i
\(474\) 0.751270 + 1.42269i 0.0345070 + 0.0653465i
\(475\) −0.335882 0.381327i −0.0154113 0.0174965i
\(476\) −2.66244 + 3.89913i −0.122033 + 0.178716i
\(477\) 16.4511 16.4511i 0.753246 0.753246i
\(478\) 20.0407 + 6.18953i 0.916641 + 0.283103i
\(479\) 28.2046i 1.28870i −0.764730 0.644351i \(-0.777128\pi\)
0.764730 0.644351i \(-0.222872\pi\)
\(480\) 3.45731 9.43284i 0.157804 0.430548i
\(481\) −15.6694 5.42906i −0.714462 0.247544i
\(482\) −12.6997 3.92227i −0.578455 0.178655i
\(483\) −4.99481 4.99481i −0.227272 0.227272i
\(484\) −26.7862 18.2904i −1.21755 0.831382i
\(485\) −19.1067 8.63215i −0.867592 0.391966i
\(486\) 10.3998 + 19.6942i 0.471743 + 0.893349i
\(487\) −5.60275 + 5.60275i −0.253885 + 0.253885i −0.822561 0.568676i \(-0.807456\pi\)
0.568676 + 0.822561i \(0.307456\pi\)
\(488\) −3.31289 + 2.63617i −0.149967 + 0.119334i
\(489\) −4.25881 −0.192590
\(490\) −8.13381 + 0.500906i −0.367448 + 0.0226286i
\(491\) 19.7932i 0.893253i 0.894720 + 0.446627i \(0.147375\pi\)
−0.894720 + 0.446627i \(0.852625\pi\)
\(492\) −1.90621 10.1139i −0.0859387 0.455969i
\(493\) 2.50715 + 2.50715i 0.112916 + 0.112916i
\(494\) −0.512224 + 0.0786268i −0.0230461 + 0.00353759i
\(495\) 9.76359 + 25.8560i 0.438841 + 1.16214i
\(496\) 8.09333 + 20.7079i 0.363401 + 0.929813i
\(497\) −2.58079 + 2.58079i −0.115764 + 0.115764i
\(498\) −4.82689 + 15.6287i −0.216298 + 0.700338i
\(499\) 15.1230i 0.677000i 0.940966 + 0.338500i \(0.109920\pi\)
−0.940966 + 0.338500i \(0.890080\pi\)
\(500\) −19.7916 + 10.4064i −0.885108 + 0.465386i
\(501\) 9.95634i 0.444817i
\(502\) 17.3166 + 5.34821i 0.772879 + 0.238702i
\(503\) 7.15930 7.15930i 0.319218 0.319218i −0.529249 0.848467i \(-0.677526\pi\)
0.848467 + 0.529249i \(0.177526\pi\)
\(504\) 14.0026 + 1.59282i 0.623726 + 0.0709500i
\(505\) −39.5276 + 14.9262i −1.75896 + 0.664205i
\(506\) −14.5693 27.5901i −0.647683 1.22653i
\(507\) 1.21897 + 10.2529i 0.0541365 + 0.455349i
\(508\) −2.42649 12.8744i −0.107658 0.571207i
\(509\) −42.1615 −1.86877 −0.934387 0.356259i \(-0.884052\pi\)
−0.934387 + 0.356259i \(0.884052\pi\)
\(510\) −2.81395 + 0.173292i −0.124604 + 0.00767350i
\(511\) 17.4672i 0.772701i
\(512\) −9.75246 20.4179i −0.431002 0.902351i
\(513\) −0.306462 + 0.306462i −0.0135306 + 0.0135306i
\(514\) 4.32915 + 8.19821i 0.190951 + 0.361607i
\(515\) −10.3508 + 22.9109i −0.456111 + 1.00957i
\(516\) 3.11040 4.55516i 0.136928 0.200530i
\(517\) −17.6880 + 17.6880i −0.777918 + 0.777918i
\(518\) −4.03675 + 13.0703i −0.177365 + 0.574278i
\(519\) 9.57278 0.420198
\(520\) −1.95271 + 22.7197i −0.0856319 + 0.996327i
\(521\) 7.84375 0.343641 0.171821 0.985128i \(-0.445035\pi\)
0.171821 + 0.985128i \(0.445035\pi\)
\(522\) 3.12309 10.1120i 0.136694 0.442592i
\(523\) 23.4710 23.4710i 1.02631 1.02631i 0.0266693 0.999644i \(-0.491510\pi\)
0.999644 0.0266693i \(-0.00849009\pi\)
\(524\) 23.5141 34.4362i 1.02722 1.50435i
\(525\) 5.52036 + 6.26726i 0.240928 + 0.273526i
\(526\) 19.6422 + 37.1968i 0.856439 + 1.62186i
\(527\) 4.41178 4.41178i 0.192180 0.192180i
\(528\) −15.1820 6.64954i −0.660714 0.289384i
\(529\) 5.11676i 0.222468i
\(530\) 20.5671 23.2665i 0.893376 1.01063i
\(531\) 24.9990 1.08486
\(532\) 0.0791757 + 0.420087i 0.00343270 + 0.0182131i
\(533\) 10.2004 + 21.0161i 0.441826 + 0.910309i
\(534\) −3.40720 6.45229i −0.147444 0.279218i
\(535\) −38.4222 17.3586i −1.66114 0.750478i
\(536\) −2.88240 + 25.3393i −0.124501 + 1.09449i
\(537\) 10.9770 10.9770i 0.473694 0.473694i
\(538\) 15.2727 + 4.71695i 0.658454 + 0.203362i
\(539\) 13.4444i 0.579091i
\(540\) 9.92510 + 16.2850i 0.427108 + 0.700793i
\(541\) 23.2720i 1.00054i −0.865869 0.500271i \(-0.833234\pi\)
0.865869 0.500271i \(-0.166766\pi\)
\(542\) −0.389306 + 1.26051i −0.0167221 + 0.0541436i
\(543\) 6.29494 6.29494i 0.270142 0.270142i
\(544\) −4.15043 + 4.80560i −0.177948 + 0.206039i
\(545\) −36.1867 + 13.6646i −1.55007 + 0.585327i
\(546\) 8.41862 1.29226i 0.360283 0.0553038i
\(547\) 11.5816 + 11.5816i 0.495195 + 0.495195i 0.909938 0.414743i \(-0.136129\pi\)
−0.414743 + 0.909938i \(0.636129\pi\)
\(548\) 0.0626026 + 0.332154i 0.00267425 + 0.0141889i
\(549\) 3.54632i 0.151353i
\(550\) 15.1287 + 33.6452i 0.645089 + 1.43464i
\(551\) 0.321026 0.0136762
\(552\) −5.91521 7.43367i −0.251768 0.316398i
\(553\) −2.13008 + 2.13008i −0.0905802 + 0.0905802i
\(554\) −14.6871 27.8132i −0.623995 1.18167i
\(555\) −7.64170 + 2.88561i −0.324372 + 0.122487i
\(556\) −33.3476 22.7707i −1.41425 0.965692i
\(557\) 1.38433 + 1.38433i 0.0586558 + 0.0586558i 0.735826 0.677170i \(-0.236794\pi\)
−0.677170 + 0.735826i \(0.736794\pi\)
\(558\) −17.7940 5.49564i −0.753279 0.232649i
\(559\) −4.09876 + 11.8299i −0.173359 + 0.500350i
\(560\) 18.7854 + 0.973194i 0.793829 + 0.0411250i
\(561\) 4.65118i 0.196373i
\(562\) −40.5741 12.5312i −1.71152 0.528598i
\(563\) −1.09528 + 1.09528i −0.0461608 + 0.0461608i −0.729810 0.683650i \(-0.760392\pi\)
0.683650 + 0.729810i \(0.260392\pi\)
\(564\) −4.29497 + 6.28996i −0.180851 + 0.264855i
\(565\) 34.5774 + 15.6216i 1.45468 + 0.657205i
\(566\) −13.6459 25.8415i −0.573581 1.08620i
\(567\) −5.53286 + 5.53286i −0.232358 + 0.232358i
\(568\) −3.84093 + 3.05635i −0.161162 + 0.128242i
\(569\) 26.0963i 1.09401i −0.837129 0.547006i \(-0.815767\pi\)
0.837129 0.547006i \(-0.184233\pi\)
\(570\) −0.169061 + 0.191250i −0.00708117 + 0.00801057i
\(571\) 38.4087i 1.60735i −0.595066 0.803677i \(-0.702874\pi\)
0.595066 0.803677i \(-0.297126\pi\)
\(572\) 37.2136 + 5.51937i 1.55598 + 0.230776i
\(573\) 8.10423 + 8.10423i 0.338559 + 0.338559i
\(574\) 17.0403 8.99834i 0.711250 0.375584i
\(575\) −1.33708 + 21.1020i −0.0557601 + 0.880013i
\(576\) 18.4692 + 4.25690i 0.769550 + 0.177371i
\(577\) 7.40764 + 7.40764i 0.308384 + 0.308384i 0.844282 0.535898i \(-0.180027\pi\)
−0.535898 + 0.844282i \(0.680027\pi\)
\(578\) −21.2685 6.56872i −0.884651 0.273223i
\(579\) 8.21169i 0.341266i
\(580\) 3.33105 13.7278i 0.138314 0.570017i
\(581\) −30.6264 −1.27060
\(582\) −3.10788 + 10.0628i −0.128826 + 0.417117i
\(583\) −36.2262 36.2262i −1.50034 1.50034i
\(584\) 2.65507 23.3409i 0.109868 0.965853i
\(585\) −13.8730 13.1295i −0.573580 0.542839i
\(586\) 7.99186 + 15.1343i 0.330141 + 0.625194i
\(587\) 2.55282 2.55282i 0.105366 0.105366i −0.652458 0.757825i \(-0.726262\pi\)
0.757825 + 0.652458i \(0.226262\pi\)
\(588\) 0.758180 + 4.02272i 0.0312668 + 0.165894i
\(589\) 0.564904i 0.0232765i
\(590\) 33.3045 2.05100i 1.37112 0.0844382i
\(591\) −5.14802 −0.211761
\(592\) −7.38094 + 16.8519i −0.303355 + 0.692611i
\(593\) 11.4211 11.4211i 0.469008 0.469008i −0.432585 0.901593i \(-0.642398\pi\)
0.901593 + 0.432585i \(0.142398\pi\)
\(594\) 27.8222 14.6918i 1.14156 0.602813i
\(595\) −1.86479 4.93835i −0.0764489 0.202453i
\(596\) −15.7194 10.7337i −0.643891 0.439668i
\(597\) −1.04324 + 1.04324i −0.0426969 + 0.0426969i
\(598\) 17.3842 + 12.7575i 0.710894 + 0.521691i
\(599\) −32.8264 −1.34125 −0.670625 0.741796i \(-0.733974\pi\)
−0.670625 + 0.741796i \(0.733974\pi\)
\(600\) 6.42406 + 9.21388i 0.262261 + 0.376155i
\(601\) 4.74265 0.193457 0.0967284 0.995311i \(-0.469162\pi\)
0.0967284 + 0.995311i \(0.469162\pi\)
\(602\) 9.86767 + 3.04761i 0.402176 + 0.124211i
\(603\) −15.1051 15.1051i −0.615129 0.615129i
\(604\) −6.12721 4.18384i −0.249313 0.170238i
\(605\) 33.9254 12.8107i 1.37927 0.520829i
\(606\) 9.91070 + 18.7681i 0.402594 + 0.762401i
\(607\) 12.6061 + 12.6061i 0.511664 + 0.511664i 0.915036 0.403372i \(-0.132162\pi\)
−0.403372 + 0.915036i \(0.632162\pi\)
\(608\) 0.0419456 + 0.573385i 0.00170112 + 0.0232539i
\(609\) −5.27620 −0.213802
\(610\) −0.290951 4.72452i −0.0117803 0.191290i
\(611\) 5.65974 16.3352i 0.228968 0.660850i
\(612\) −0.985112 5.22676i −0.0398208 0.211279i
\(613\) −18.6468 + 18.6468i −0.753135 + 0.753135i −0.975063 0.221928i \(-0.928765\pi\)
0.221928 + 0.975063i \(0.428765\pi\)
\(614\) 12.4270 + 23.5334i 0.501515 + 0.949729i
\(615\) 10.4862 + 4.73754i 0.422846 + 0.191036i
\(616\) 3.50748 30.8344i 0.141320 1.24235i
\(617\) −9.07508 9.07508i −0.365349 0.365349i 0.500429 0.865778i \(-0.333176\pi\)
−0.865778 + 0.500429i \(0.833176\pi\)
\(618\) 12.0663 + 3.72666i 0.485378 + 0.149908i
\(619\) 38.4906i 1.54707i −0.633754 0.773535i \(-0.718487\pi\)
0.633754 0.773535i \(-0.281513\pi\)
\(620\) −24.1566 5.86159i −0.970153 0.235407i
\(621\) 18.0337 0.723666
\(622\) −16.7362 5.16893i −0.671059 0.207255i
\(623\) 9.66047 9.66047i 0.387039 0.387039i
\(624\) 11.4460 0.447157i 0.458207 0.0179006i
\(625\) 3.15547 24.8001i 0.126219 0.992002i
\(626\) 16.1082 8.50609i 0.643811 0.339972i
\(627\) 0.297779 + 0.297779i 0.0118921 + 0.0118921i
\(628\) 7.09337 1.33692i 0.283056 0.0533489i
\(629\) 5.16277 0.205853
\(630\) −10.4355 + 11.8052i −0.415762 + 0.470330i
\(631\) 36.4065 1.44932 0.724660 0.689107i \(-0.241997\pi\)
0.724660 + 0.689107i \(0.241997\pi\)
\(632\) −3.17015 + 2.52259i −0.126102 + 0.100343i
\(633\) 2.39593 + 2.39593i 0.0952296 + 0.0952296i
\(634\) −17.4260 + 9.20197i −0.692073 + 0.365457i
\(635\) 13.3483 + 6.03059i 0.529712 + 0.239317i
\(636\) −12.8822 8.79638i −0.510814 0.348799i
\(637\) −4.05711 8.35898i −0.160748 0.331195i
\(638\) −22.2672 6.87719i −0.881567 0.272270i
\(639\) 4.11156i 0.162651i
\(640\) 24.9545 + 4.15591i 0.986414 + 0.164277i
\(641\) −13.3606 −0.527712 −0.263856 0.964562i \(-0.584994\pi\)
−0.263856 + 0.964562i \(0.584994\pi\)
\(642\) −6.24970 + 20.2355i −0.246656 + 0.798632i
\(643\) 16.9126 + 16.9126i 0.666968 + 0.666968i 0.957013 0.290045i \(-0.0936702\pi\)
−0.290045 + 0.957013i \(0.593670\pi\)
\(644\) 10.0304 14.6895i 0.395253 0.578846i
\(645\) 2.17854 + 5.76923i 0.0857800 + 0.227163i
\(646\) 0.142666 0.0753364i 0.00561312 0.00296407i
\(647\) −20.3051 20.3051i −0.798274 0.798274i 0.184549 0.982823i \(-0.440918\pi\)
−0.982823 + 0.184549i \(0.940918\pi\)
\(648\) −8.23442 + 6.55239i −0.323479 + 0.257402i
\(649\) 55.0490i 2.16086i
\(650\) −19.5593 16.3534i −0.767179 0.641433i
\(651\) 9.28443i 0.363885i
\(652\) −1.98627 10.5387i −0.0777883 0.412725i
\(653\) 21.8481 + 21.8481i 0.854982 + 0.854982i 0.990742 0.135760i \(-0.0433475\pi\)
−0.135760 + 0.990742i \(0.543348\pi\)
\(654\) 9.07304 + 17.1818i 0.354784 + 0.671861i
\(655\) 16.4694 + 43.6144i 0.643512 + 1.70416i
\(656\) 24.1383 9.43405i 0.942444 0.368338i
\(657\) 13.9138 + 13.9138i 0.542831 + 0.542831i
\(658\) −13.6257 4.20827i −0.531185 0.164055i
\(659\) 19.3163 0.752456 0.376228 0.926527i \(-0.377221\pi\)
0.376228 + 0.926527i \(0.377221\pi\)
\(660\) 15.8235 9.64388i 0.615930 0.375387i
\(661\) 5.24920i 0.204170i −0.994776 0.102085i \(-0.967449\pi\)
0.994776 0.102085i \(-0.0325514\pi\)
\(662\) 11.2158 36.3148i 0.435913 1.41142i
\(663\) −1.40358 2.89185i −0.0545107 0.112310i
\(664\) −40.9253 4.65533i −1.58821 0.180662i
\(665\) −0.435552 0.196777i −0.0168900 0.00763067i
\(666\) −7.19590 13.6270i −0.278835 0.528036i
\(667\) −9.44535 9.44535i −0.365725 0.365725i
\(668\) 24.6375 4.64355i 0.953254 0.179664i
\(669\) −13.5584 −0.524198
\(670\) −21.3628 18.8843i −0.825318 0.729564i
\(671\) −7.80917 −0.301470
\(672\) −0.689394 9.42382i −0.0265939 0.363532i
\(673\) −9.09875 9.09875i −0.350731 0.350731i 0.509650 0.860382i \(-0.329775\pi\)
−0.860382 + 0.509650i \(0.829775\pi\)
\(674\) −11.1055 21.0307i −0.427769 0.810074i
\(675\) −21.2795 1.34833i −0.819048 0.0518972i
\(676\) −24.8030 + 7.79829i −0.953960 + 0.299934i
\(677\) 11.0809 11.0809i 0.425873 0.425873i −0.461347 0.887220i \(-0.652634\pi\)
0.887220 + 0.461347i \(0.152634\pi\)
\(678\) 5.62431 18.2106i 0.216000 0.699374i
\(679\) −19.7193 −0.756759
\(680\) −1.74122 6.88244i −0.0667727 0.263930i
\(681\) 10.9060i 0.417920i
\(682\) −12.1017 + 39.1832i −0.463396 + 1.50040i
\(683\) 10.4003 + 10.4003i 0.397957 + 0.397957i 0.877512 0.479555i \(-0.159202\pi\)
−0.479555 + 0.877512i \(0.659202\pi\)
\(684\) −0.397698 0.271560i −0.0152064 0.0103834i
\(685\) −0.344382 0.155587i −0.0131582 0.00594468i
\(686\) −25.1880 + 13.3008i −0.961682 + 0.507827i
\(687\) 5.47199 5.47199i 0.208769 0.208769i
\(688\) 12.7227 + 5.57236i 0.485047 + 0.212444i
\(689\) 33.4555 + 11.5915i 1.27455 + 0.441602i
\(690\) 10.6012 0.652855i 0.403580 0.0248538i
\(691\) −7.44985 −0.283406 −0.141703 0.989909i \(-0.545258\pi\)
−0.141703 + 0.989909i \(0.545258\pi\)
\(692\) 4.46466 + 23.6884i 0.169721 + 0.900496i
\(693\) 18.3808 + 18.3808i 0.698231 + 0.698231i
\(694\) −13.7999 + 7.28719i −0.523837 + 0.276618i
\(695\) 42.2356 15.9487i 1.60209 0.604969i
\(696\) −7.05044 0.802001i −0.267246 0.0303998i
\(697\) −5.14262 5.14262i −0.194791 0.194791i
\(698\) −9.63310 + 31.1904i −0.364618 + 1.18057i
\(699\) −2.69634 −0.101985
\(700\) −12.9340 + 16.5834i −0.488860 + 0.626795i
\(701\) 26.0315 0.983196 0.491598 0.870822i \(-0.336413\pi\)
0.491598 + 0.870822i \(0.336413\pi\)
\(702\) −12.8648 + 17.5305i −0.485550 + 0.661645i
\(703\) 0.330532 0.330532i 0.0124662 0.0124662i
\(704\) 9.37389 40.6701i 0.353292 1.53281i
\(705\) −3.00822 7.96640i −0.113296 0.300032i
\(706\) 11.6284 + 22.0209i 0.437641 + 0.828769i
\(707\) −28.0999 + 28.0999i −1.05680 + 1.05680i
\(708\) −3.10442 16.4713i −0.116671 0.619029i
\(709\) 29.8029 1.11927 0.559636 0.828738i \(-0.310941\pi\)
0.559636 + 0.828738i \(0.310941\pi\)
\(710\) −0.337326 5.47756i −0.0126596 0.205569i
\(711\) 3.39352i 0.127267i
\(712\) 14.3775 11.4406i 0.538818 0.428755i
\(713\) −16.6208 + 16.6208i −0.622454 + 0.622454i
\(714\) −2.34478 + 1.23819i −0.0877510 + 0.0463379i
\(715\) −28.9118 + 30.5491i −1.08124 + 1.14247i
\(716\) 32.2828 + 22.0437i 1.20647 + 0.823810i
\(717\) 8.32952 + 8.32952i 0.311072 + 0.311072i
\(718\) 1.73676 + 0.536394i 0.0648152 + 0.0200181i
\(719\) −3.67225 −0.136952 −0.0684760 0.997653i \(-0.521814\pi\)
−0.0684760 + 0.997653i \(0.521814\pi\)
\(720\) −15.7392 + 14.1887i −0.586564 + 0.528782i
\(721\) 23.6455i 0.880603i
\(722\) −7.92490 + 25.6595i −0.294934 + 0.954949i
\(723\) −5.27837 5.27837i −0.196305 0.196305i
\(724\) 18.5131 + 12.6413i 0.688033 + 0.469809i
\(725\) 10.4392 + 11.8516i 0.387701 + 0.440157i
\(726\) −8.50607 16.1081i −0.315690 0.597828i
\(727\) 20.5737 + 20.5737i 0.763037 + 0.763037i 0.976870 0.213833i \(-0.0685950\pi\)
−0.213833 + 0.976870i \(0.568595\pi\)
\(728\) 7.12414 + 20.2296i 0.264038 + 0.749760i
\(729\) 1.34635i 0.0498646i
\(730\) 19.6780 + 17.3949i 0.728316 + 0.643816i
\(731\) 3.89772i 0.144162i
\(732\) −2.33659 + 0.440389i −0.0863630 + 0.0162772i
\(733\) 12.1861 12.1861i 0.450105 0.450105i −0.445284 0.895389i \(-0.646897\pi\)
0.895389 + 0.445284i \(0.146897\pi\)
\(734\) −5.35918 + 2.82998i −0.197811 + 0.104456i
\(735\) −4.17082 1.88432i −0.153843 0.0695041i
\(736\) 15.6362 18.1045i 0.576358 0.667340i
\(737\) −33.2622 + 33.2622i −1.22523 + 1.22523i
\(738\) −6.40603 + 20.7417i −0.235809 + 0.763512i
\(739\) 40.3506i 1.48432i −0.670223 0.742160i \(-0.733802\pi\)
0.670223 0.742160i \(-0.266198\pi\)
\(740\) −10.7046 17.5640i −0.393510 0.645665i
\(741\) −0.275003 0.0952820i −0.0101025 0.00350027i
\(742\) 8.61881 27.9063i 0.316407 1.02447i
\(743\) 28.7552 + 28.7552i 1.05493 + 1.05493i 0.998401 + 0.0565244i \(0.0180019\pi\)
0.0565244 + 0.998401i \(0.481998\pi\)
\(744\) −1.41127 + 12.4065i −0.0517396 + 0.454846i
\(745\) 19.9090 7.51791i 0.729410 0.275435i
\(746\) −22.1880 + 11.7166i −0.812362 + 0.428977i
\(747\) 24.3961 24.3961i 0.892608 0.892608i
\(748\) −11.5096 + 2.16927i −0.420832 + 0.0793162i
\(749\) −39.6541 −1.44893
\(750\) −12.5581 0.0222617i −0.458555 0.000812882i
\(751\) 15.9959i 0.583698i 0.956464 + 0.291849i \(0.0942704\pi\)
−0.956464 + 0.291849i \(0.905730\pi\)
\(752\) −17.5680 7.69455i −0.640638 0.280592i
\(753\) 7.19731 + 7.19731i 0.262285 + 0.262285i
\(754\) 15.9199 2.44371i 0.579767 0.0889947i
\(755\) 7.76027 2.93038i 0.282425 0.106648i
\(756\) 14.8130 + 10.1148i 0.538745 + 0.367871i
\(757\) −17.8098 + 17.8098i −0.647308 + 0.647308i −0.952342 0.305033i \(-0.901332\pi\)
0.305033 + 0.952342i \(0.401332\pi\)
\(758\) −26.8774 8.30104i −0.976232 0.301507i
\(759\) 17.5227i 0.636034i
\(760\) −0.552106 0.329153i −0.0200270 0.0119396i
\(761\) 17.5187i 0.635053i 0.948249 + 0.317526i \(0.102852\pi\)
−0.948249 + 0.317526i \(0.897148\pi\)
\(762\) 2.17122 7.03007i 0.0786551 0.254672i
\(763\) −25.7249 + 25.7249i −0.931302 + 0.931302i
\(764\) −16.2746 + 23.8341i −0.588795 + 0.862287i
\(765\) 5.41919 + 2.44831i 0.195931 + 0.0885190i
\(766\) −3.44383 + 1.81855i −0.124430 + 0.0657069i
\(767\) 16.6121 + 34.2264i 0.599829 + 1.23585i
\(768\) 0.511238 12.6976i 0.0184477 0.458185i
\(769\) 0.804873 0.0290244 0.0145122 0.999895i \(-0.495380\pi\)
0.0145122 + 0.999895i \(0.495380\pi\)
\(770\) 25.9956 + 22.9796i 0.936816 + 0.828126i
\(771\) 5.20675i 0.187516i
\(772\) −20.3203 + 3.82986i −0.731343 + 0.137840i
\(773\) −9.62801 + 9.62801i −0.346296 + 0.346296i −0.858728 0.512432i \(-0.828745\pi\)
0.512432 + 0.858728i \(0.328745\pi\)
\(774\) −10.2880 + 5.43267i −0.369793 + 0.195273i
\(775\) 20.8550 18.3696i 0.749134