Properties

Label 260.2.p.d.103.3
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 103.3
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35124 + 0.417327i) q^{2} +(0.561614 - 0.561614i) q^{3} +(1.65168 - 1.12781i) q^{4} +(-2.09189 + 0.789927i) q^{5} +(-0.524497 + 0.993250i) q^{6} +(1.48711 - 1.48711i) q^{7} +(-1.76114 + 2.21323i) q^{8} +2.36918i q^{9} +O(q^{10})\) \(q+(-1.35124 + 0.417327i) 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} +(-1.76114 + 2.21323i) q^{8} +2.36918i q^{9} +(2.49698 - 1.94038i) q^{10} +5.21705 q^{11} +(0.294209 - 1.56100i) q^{12} +(1.57435 - 3.24368i) 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} +(-0.988721 - 3.20132i) q^{18} -0.101632i q^{19} +(-2.56424 + 3.66397i) q^{20} -1.67036i q^{21} +(-7.04946 + 2.17721i) 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} +(0.779042 - 4.13341i) q^{28} +3.15871i q^{29} +(0.312596 - 2.49209i) q^{30} +5.55833 q^{31} +(-0.412721 + 5.64178i) 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} +(0.0424138 + 0.137329i) q^{38} +(-0.937519 - 2.70587i) q^{39} +(1.93582 - 6.02101i) q^{40} +6.47910i q^{41} +(0.697087 + 2.25706i) 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} +(-1.27458 - 2.91008i) q^{48} +2.57701i q^{49} +(-3.69066 + 6.03150i) q^{50} -0.891534i q^{51} +(-1.05795 - 7.13307i) 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} +(-1.31821 - 4.26816i) q^{58} -10.5517i q^{59} +(0.617623 + 3.49785i) q^{60} -1.49686 q^{61} +(-7.51061 + 2.31964i) q^{62} +(3.52323 + 3.52323i) q^{63} +(-1.79678 - 7.79561i) q^{64} +(-0.731099 + 8.02904i) q^{65} +(-2.73632 + 5.18183i) q^{66} +(-6.37568 + 6.37568i) q^{67} +(0.415803 - 2.20615i) q^{68} -3.35874i q^{69} +(0.827730 - 6.59885i) q^{70} -1.73544 q^{71} +(-5.24354 - 4.17245i) 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} +(2.39604 + 3.26502i) q^{78} +1.43236 q^{79} +(-0.103024 + 8.94368i) q^{80} -3.72054 q^{81} +(-2.70390 - 8.75480i) 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} +(-9.18794 + 11.5465i) q^{88} -6.49614 q^{89} +(4.59711 + 5.91580i) q^{90} +(-2.48247 - 7.16493i) q^{91} +(1.56649 - 8.31138i) 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} +(-1.07545 - 3.48215i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35124 + 0.417327i −0.955468 + 0.295094i
\(3\) 0.561614 0.561614i 0.324248 0.324248i −0.526146 0.850394i \(-0.676363\pi\)
0.850394 + 0.526146i \(0.176363\pi\)
\(4\) 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 \(0.119896\pi\)
\(8\) −1.76114 + 2.21323i −0.622657 + 0.782495i
\(9\) 2.36918i 0.789726i
\(10\) 2.49698 1.94038i 0.789615 0.613602i
\(11\) 5.21705 1.57300 0.786499 0.617591i \(-0.211891\pi\)
0.786499 + 0.617591i \(0.211891\pi\)
\(12\) 0.294209 1.56100i 0.0849309 0.450622i
\(13\) 1.57435 3.24368i 0.436645 0.899634i
\(14\) −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 \(0.206536\pi\)
\(18\) −0.988721 3.20132i −0.233044 0.754558i
\(19\) 0.101632i 0.0233160i −0.999932 0.0116580i \(-0.996289\pi\)
0.999932 0.0116580i \(-0.00371094\pi\)
\(20\) −2.56424 + 3.66397i −0.573382 + 0.819288i
\(21\) 1.67036i 0.364503i
\(22\) −7.04946 + 2.17721i −1.50295 + 0.464183i
\(23\) 2.99025 2.99025i 0.623511 0.623511i −0.322916 0.946428i \(-0.604663\pi\)
0.946428 + 0.322916i \(0.104663\pi\)
\(24\) 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
\(28\) 0.779042 4.13341i 0.147225 0.781141i
\(29\) 3.15871i 0.586558i 0.956027 + 0.293279i \(0.0947465\pi\)
−0.956027 + 0.293279i \(0.905254\pi\)
\(30\) 0.312596 2.49209i 0.0570720 0.454991i
\(31\) 5.55833 0.998305 0.499152 0.866514i \(-0.333645\pi\)
0.499152 + 0.866514i \(0.333645\pi\)
\(32\) −0.412721 + 5.64178i −0.0729594 + 0.997335i
\(33\) 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 0.387292 0.921957i \(-0.373411\pi\)
−0.921957 + 0.387292i \(0.873411\pi\)
\(38\) 0.0424138 + 0.137329i 0.00688042 + 0.0222777i
\(39\) −0.937519 2.70587i −0.150123 0.433286i
\(40\) 1.93582 6.02101i 0.306080 0.952006i
\(41\) 6.47910i 1.01187i 0.862573 + 0.505933i \(0.168852\pi\)
−0.862573 + 0.505933i \(0.831148\pi\)
\(42\) 0.697087 + 2.25706i 0.107563 + 0.348271i
\(43\) −2.45533 + 2.45533i −0.374435 + 0.374435i −0.869090 0.494655i \(-0.835295\pi\)
0.494655 + 0.869090i \(0.335295\pi\)
\(44\) 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 \(0.363715\pi\)
\(48\) −1.27458 2.91008i −0.183970 0.420034i
\(49\) 2.57701i 0.368144i
\(50\) −3.69066 + 6.03150i −0.521939 + 0.852983i
\(51\) 0.891534i 0.124840i
\(52\) −1.05795 7.13307i −0.146711 0.989179i
\(53\) −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
\(58\) −1.31821 4.26816i −0.173090 0.560437i
\(59\) 10.5517i 1.37372i −0.726789 0.686860i \(-0.758988\pi\)
0.726789 0.686860i \(-0.241012\pi\)
\(60\) 0.617623 + 3.49785i 0.0797348 + 0.451571i
\(61\) −1.49686 −0.191653 −0.0958264 0.995398i \(-0.530549\pi\)
−0.0958264 + 0.995398i \(0.530549\pi\)
\(62\) −7.51061 + 2.31964i −0.953848 + 0.294594i
\(63\) 3.52323 + 3.52323i 0.443885 + 0.443885i
\(64\) −1.79678 7.79561i −0.224598 0.974452i
\(65\) −0.731099 + 8.02904i −0.0906816 + 0.995880i
\(66\) −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 \(0.435668\pi\)
\(68\) 0.415803 2.20615i 0.0504236 0.267535i
\(69\) 3.35874i 0.404345i
\(70\) 0.827730 6.59885i 0.0989326 0.788713i
\(71\) −1.73544 −0.205959 −0.102979 0.994683i \(-0.532838\pi\)
−0.102979 + 0.994683i \(0.532838\pi\)
\(72\) −5.24354 4.17245i −0.617957 0.491728i
\(73\) −5.87285 + 5.87285i −0.687366 + 0.687366i −0.961649 0.274283i \(-0.911559\pi\)
0.274283 + 0.961649i \(0.411559\pi\)
\(74\) 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
\(78\) 2.39604 + 3.26502i 0.271298 + 0.369690i
\(79\) 1.43236 0.161153 0.0805767 0.996748i \(-0.474324\pi\)
0.0805767 + 0.996748i \(0.474324\pi\)
\(80\) −0.103024 + 8.94368i −0.0115185 + 0.999934i
\(81\) −3.72054 −0.413394
\(82\) −2.70390 8.75480i −0.298596 0.966806i
\(83\) −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
\(88\) −9.18794 + 11.5465i −0.979438 + 1.23086i
\(89\) −6.49614 −0.688589 −0.344295 0.938862i \(-0.611882\pi\)
−0.344295 + 0.938862i \(0.611882\pi\)
\(90\) 4.59711 + 5.91580i 0.484578 + 0.623580i
\(91\) −2.48247 7.16493i −0.260234 0.751089i
\(92\) 1.56649 8.31138i 0.163317 0.866522i
\(93\) 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 0.958449 0.285265i \(-0.0920816\pi\)
−0.285265 + 0.958449i \(0.592082\pi\)
\(98\) −1.07545 3.48215i −0.108637 0.351750i
\(99\) 12.3601i 1.24224i
\(100\) 2.46985 9.69019i 0.246985 0.969019i
\(101\) −18.8956 −1.88018 −0.940092 0.340920i \(-0.889262\pi\)
−0.940092 + 0.340920i \(0.889262\pi\)
\(102\) 0.372061 + 1.20467i 0.0368395 + 0.119280i
\(103\) 7.95014 7.95014i 0.783351 0.783351i −0.197044 0.980395i \(-0.563134\pi\)
0.980395 + 0.197044i \(0.0631341\pi\)
\(104\) 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 \(0.114996\pi\)
0.353463 + 0.935448i \(0.385004\pi\)
\(108\) 8.38130 + 1.57966i 0.806491 + 0.152003i
\(109\) 17.2986 1.65690 0.828451 0.560062i \(-0.189223\pi\)
0.828451 + 0.560062i \(0.189223\pi\)
\(110\) 13.0269 10.1231i 1.24206 0.965195i
\(111\) −3.65301 −0.346728
\(112\) −3.37499 7.70567i −0.318906 0.728117i
\(113\) 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
\(117\) 7.68485 + 3.72991i 0.710464 + 0.344830i
\(118\) 4.40353 + 14.2579i 0.405377 + 1.31255i
\(119\) 2.36071i 0.216406i
\(120\) −2.29430 4.46867i −0.209440 0.407932i
\(121\) 16.2176 1.47433
\(122\) 2.02261 0.624678i 0.183118 0.0565557i
\(123\) 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 0.471077 0.882092i \(-0.343866\pi\)
−0.882092 + 0.471077i \(0.843866\pi\)
\(128\) 5.68119 + 9.78387i 0.502151 + 0.864780i
\(129\) 2.75790i 0.242820i
\(130\) −2.36285 11.1542i −0.207235 0.978291i
\(131\) 20.8492i 1.82161i −0.412840 0.910804i \(-0.635463\pi\)
0.412840 0.910804i \(-0.364537\pi\)
\(132\) 1.53490 8.14382i 0.133596 0.708829i
\(133\) −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 0.712193 0.701983i \(-0.247702\pi\)
−0.701983 + 0.712193i \(0.747702\pi\)
\(138\) 1.40169 + 4.53845i 0.119320 + 0.386338i
\(139\) −20.1901 −1.71250 −0.856252 0.516559i \(-0.827213\pi\)
−0.856252 + 0.516559i \(0.827213\pi\)
\(140\) 1.63542 + 9.26203i 0.138218 + 0.782784i
\(141\) 3.80823i 0.320710i
\(142\) 2.34499 0.724245i 0.196787 0.0607773i
\(143\) 8.21344 16.9224i 0.686843 1.41512i
\(144\) 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
\(148\) −9.03957 1.70373i −0.743048 0.140046i
\(149\) −9.51723 −0.779682 −0.389841 0.920882i \(-0.627470\pi\)
−0.389841 + 0.920882i \(0.627470\pi\)
\(150\) 1.31465 + 5.46011i 0.107341 + 0.445816i
\(151\) 3.70969 0.301890 0.150945 0.988542i \(-0.451768\pi\)
0.150945 + 0.988542i \(0.451768\pi\)
\(152\) 0.224935 + 0.178988i 0.0182447 + 0.0145179i
\(153\) 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 \(0.296003\pi\)
\(158\) −1.93546 + 0.597763i −0.153977 + 0.0475555i
\(159\) −7.79950 −0.618540
\(160\) −3.59323 12.1280i −0.284069 0.958804i
\(161\) 8.89367i 0.700920i
\(162\) 5.02733 1.55268i 0.394985 0.121990i
\(163\) 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 \(0.411187\pi\)
\(168\) 3.69690 + 2.94174i 0.285222 + 0.226960i
\(169\) −8.04286 10.2133i −0.618682 0.785642i
\(170\) 0.441789 3.52204i 0.0338837 0.270128i
\(171\) 0.240784 0.0184132
\(172\) −1.28626 + 6.82458i −0.0980764 + 0.520369i
\(173\) −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
\(178\) 8.77782 2.71101i 0.657925 0.203199i
\(179\) 19.5455 1.46090 0.730449 0.682967i \(-0.239311\pi\)
0.730449 + 0.682967i \(0.239311\pi\)
\(180\) −8.68060 6.07514i −0.647013 0.452815i
\(181\) −11.2087 −0.833132 −0.416566 0.909105i \(-0.636767\pi\)
−0.416566 + 0.909105i \(0.636767\pi\)
\(182\) 6.34452 + 8.64551i 0.470287 + 0.640847i
\(183\) −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
\(188\) −1.77612 + 9.42366i −0.129537 + 0.687291i
\(189\) 8.96848 0.652361
\(190\) −0.197205 0.253774i −0.0143067 0.0184107i
\(191\) 14.4302i 1.04414i 0.852904 + 0.522068i \(0.174839\pi\)
−0.852904 + 0.522068i \(0.825161\pi\)
\(192\) −5.38723 3.36903i −0.388790 0.243139i
\(193\) −7.31079 + 7.31079i −0.526242 + 0.526242i −0.919450 0.393207i \(-0.871365\pi\)
0.393207 + 0.919450i \(0.371365\pi\)
\(194\) −11.7257 6.19190i −0.841858 0.444553i
\(195\) 4.09863 + 4.91982i 0.293509 + 0.352316i
\(196\) 2.90639 + 4.25639i 0.207599 + 0.304028i
\(197\) −4.58324 4.58324i −0.326542 0.326542i 0.524728 0.851270i \(-0.324167\pi\)
−0.851270 + 0.524728i \(0.824167\pi\)
\(198\) −5.15821 16.7014i −0.366578 1.18692i
\(199\) −1.85757 −0.131680 −0.0658398 0.997830i \(-0.520973\pi\)
−0.0658398 + 0.997830i \(0.520973\pi\)
\(200\) 0.706626 + 14.1245i 0.0499660 + 0.998751i
\(201\) 7.16135i 0.505123i
\(202\) 25.5324 7.88565i 1.79646 0.554832i
\(203\) 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
\(208\) −9.79217 10.5884i −0.678965 0.734171i
\(209\) 0.530219i 0.0366760i
\(210\) −3.24114 4.17087i −0.223660 0.287817i
\(211\) 4.26614i 0.293694i 0.989159 + 0.146847i \(0.0469124\pi\)
−0.989159 + 0.146847i \(0.953088\pi\)
\(212\) −19.3003 3.63761i −1.32555 0.249832i
\(213\) −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
\(218\) −23.3744 + 7.21915i −1.58312 + 0.488943i
\(219\) 6.59656i 0.445754i
\(220\) −13.3778 + 19.1151i −0.901929 + 1.28874i
\(221\) −1.32499 3.82418i −0.0891283 0.257242i
\(222\) 4.93608 1.52450i 0.331288 0.102318i
\(223\) 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 \(0.0993920\pi\)
\(228\) −0.158648 0.0299011i −0.0105067 0.00198025i
\(229\) 9.74332 0.643856 0.321928 0.946764i \(-0.395669\pi\)
0.321928 + 0.946764i \(0.395669\pi\)
\(230\) 1.66438 13.2688i 0.109746 0.874922i
\(231\) 8.71437i 0.573363i
\(232\) −6.99096 5.56293i −0.458979 0.365224i
\(233\) 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
\(238\) 0.985187 + 3.18988i 0.0638602 + 0.206769i
\(239\) 14.8314i 0.959363i −0.877443 0.479682i \(-0.840752\pi\)
0.877443 0.479682i \(-0.159248\pi\)
\(240\) 4.96504 + 5.08076i 0.320492 + 0.327962i
\(241\) 9.39857i 0.605415i −0.953083 0.302708i \(-0.902109\pi\)
0.953083 0.302708i \(-0.0978906\pi\)
\(242\) −21.9138 + 6.76803i −1.40867 + 0.435065i
\(243\) −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
\(247\) −0.329661 0.160004i −0.0209759 0.0101808i
\(248\) −9.78898 + 12.3019i −0.621601 + 0.781169i
\(249\) −11.5662 −0.732979
\(250\) 2.95603 15.5326i 0.186955 0.982368i
\(251\) 12.8154i 0.808900i 0.914560 + 0.404450i \(0.132537\pi\)
−0.914560 + 0.404450i \(0.867463\pi\)
\(252\) 9.79278 + 1.84569i 0.616887 + 0.116268i
\(253\) 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 \(0.184455\pi\)
\(258\) −1.15095 3.72658i −0.0716548 0.232006i
\(259\) −9.67288 −0.601043
\(260\) 7.84772 + 14.0859i 0.486695 + 0.873572i
\(261\) −7.48355 −0.463220
\(262\) 8.70095 + 28.1723i 0.537546 + 1.74049i
\(263\) −21.0322 + 21.0322i −1.29690 + 1.29690i −0.366472 + 0.930429i \(0.619435\pi\)
−0.930429 + 0.366472i \(0.880565\pi\)
\(264\) 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
\(268\) −3.33999 + 17.7212i −0.204022 + 1.08249i
\(269\) 11.3028i 0.689143i −0.938760 0.344572i \(-0.888024\pi\)
0.938760 0.344572i \(-0.111976\pi\)
\(270\) 13.3805 + 1.67838i 0.814309 + 0.102143i
\(271\) 0.932858 0.0566671 0.0283335 0.999599i \(-0.490980\pi\)
0.0283335 + 0.999599i \(0.490980\pi\)
\(272\) −1.80135 4.11279i −0.109223 0.249375i
\(273\) −5.41812 2.62973i −0.327920 0.159159i
\(274\) −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 \(0.482915\pi\)
\(278\) 27.2816 8.42587i 1.63624 0.505350i
\(279\) 13.1687i 0.788387i
\(280\) −6.07513 11.8327i −0.363058 0.707138i
\(281\) 30.0274i 1.79128i −0.444775 0.895642i \(-0.646716\pi\)
0.444775 0.895642i \(-0.353284\pi\)
\(282\) −1.58927 5.14581i −0.0946399 0.306429i
\(283\) 14.6116 14.6116i 0.868570 0.868570i −0.123744 0.992314i \(-0.539490\pi\)
0.992314 + 0.123744i \(0.0394903\pi\)
\(284\) −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
\(288\) −13.3664 0.977809i −0.787622 0.0576179i
\(289\) 15.7400i 0.925883i
\(290\) 6.12910 + 7.88725i 0.359913 + 0.463155i
\(291\) 7.44711 0.436557
\(292\) −3.07657 + 16.3235i −0.180043 + 0.955263i
\(293\) −8.55742 + 8.55742i −0.499930 + 0.499930i −0.911416 0.411486i \(-0.865010\pi\)
0.411486 + 0.911416i \(0.365010\pi\)
\(294\) −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
\(298\) 12.8600 3.97179i 0.744961 0.230080i
\(299\) −4.99172 14.4071i −0.288678 0.833185i
\(300\) −4.05505 6.82925i −0.234118 0.394287i
\(301\) 7.30270i 0.420921i
\(302\) −5.01267 + 1.54815i −0.288446 + 0.0890861i
\(303\) −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 \(0.0695552\pi\)
\(308\) 4.06430 21.5642i 0.231585 1.22873i
\(309\) 8.92983i 0.508000i
\(310\) 13.8790 10.7853i 0.788277 0.612562i
\(311\) 12.3858i 0.702336i −0.936313 0.351168i \(-0.885785\pi\)
0.936313 0.351168i \(-0.114215\pi\)
\(312\) 7.63982 + 2.69047i 0.432519 + 0.152318i
\(313\) −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 0.374014 0.927423i \(-0.377981\pi\)
−0.927423 + 0.374014i \(0.877981\pi\)
\(318\) 10.5390 3.25494i 0.590996 0.182528i
\(319\) 16.4791i 0.922655i
\(320\) 9.91664 + 14.8883i 0.554357 + 0.832279i
\(321\) 14.9756 0.835855
\(322\) 3.71157 + 12.0174i 0.206838 + 0.669706i
\(323\) −0.0806678 0.0806678i −0.00448848 0.00448848i
\(324\) −6.14514 + 4.19608i −0.341396 + 0.233116i
\(325\) −4.81298 17.3734i −0.266976 0.963703i
\(326\) −6.70564 3.54099i −0.371391 0.196117i
\(327\) 9.71512 9.71512i 0.537247 0.537247i
\(328\) −14.3398 11.4106i −0.791780 0.630045i
\(329\) 10.0839i 0.555942i
\(330\) 1.63083 13.0013i 0.0897742 0.715700i
\(331\) −26.8753 −1.47720 −0.738599 0.674145i \(-0.764512\pi\)
−0.738599 + 0.674145i \(0.764512\pi\)
\(332\) −28.6212 5.39438i −1.57079 0.296055i
\(333\) 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 \(0.401449\pi\)
\(338\) 15.1301 + 10.4441i 0.822969 + 0.568086i
\(339\) 13.4770 0.731970
\(340\) 0.872881 + 4.94348i 0.0473386 + 0.268098i
\(341\) 28.9980 1.57033
\(342\) −0.325357 + 0.100486i −0.0175933 + 0.00543365i
\(343\) 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 0.465937 0.884818i \(-0.345717\pi\)
−0.884818 + 0.465937i \(0.845717\pi\)
\(348\) 4.93075 + 0.929322i 0.264316 + 0.0498169i
\(349\) −23.0829 −1.23560 −0.617799 0.786336i \(-0.711975\pi\)
−0.617799 + 0.786336i \(0.711975\pi\)
\(350\) 3.48108 + 14.4579i 0.186072 + 0.772809i
\(351\) 14.5283 5.03371i 0.775463 0.268679i
\(352\) −2.15318 + 29.4334i −0.114765 + 1.56881i
\(353\) −12.4513 + 12.4513i −0.662717 + 0.662717i −0.956020 0.293303i \(-0.905246\pi\)
0.293303 + 0.956020i \(0.405246\pi\)
\(354\) 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
\(358\) −26.4106 + 8.15685i −1.39584 + 0.431103i
\(359\) 1.28531i 0.0678361i −0.999425 0.0339181i \(-0.989201\pi\)
0.999425 0.0339181i \(-0.0107985\pi\)
\(360\) 14.2649 + 4.58631i 0.751824 + 0.241720i
\(361\) 18.9897 0.999456
\(362\) 15.1455 4.67767i 0.796031 0.245853i
\(363\) 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 0.623581 0.781759i \(-0.285677\pi\)
−0.781759 + 0.623581i \(0.785677\pi\)
\(368\) −6.78636 15.4944i −0.353764 0.807703i
\(369\) −15.3502 −0.799097
\(370\) −14.4314 1.81021i −0.750251 0.0941082i
\(371\) −20.6524 −1.07222
\(372\) 1.63531 8.67656i 0.0847869 0.449858i
\(373\) 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
\(377\) 10.2458 + 4.97291i 0.527687 + 0.256118i
\(378\) −12.1185 + 3.74279i −0.623310 + 0.192508i
\(379\) 19.8910i 1.02173i 0.859660 + 0.510866i \(0.170675\pi\)
−0.859660 + 0.510866i \(0.829325\pi\)
\(380\) 0.372377 + 0.260609i 0.0191025 + 0.0133690i
\(381\) −5.20269 −0.266542
\(382\) −6.02212 19.4987i −0.308119 0.997638i
\(383\) 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
\(388\) 18.4283 + 3.47326i 0.935554 + 0.176328i
\(389\) 15.2218i 0.771778i 0.922545 + 0.385889i \(0.126105\pi\)
−0.922545 + 0.385889i \(0.873895\pi\)
\(390\) −7.59139 4.93737i −0.384405 0.250013i
\(391\) 4.74688i 0.240060i
\(392\) −5.70352 4.53847i −0.288071 0.229227i
\(393\) −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 0.531402 0.847120i \(-0.321665\pi\)
−0.847120 + 0.531402i \(0.821665\pi\)
\(398\) 2.51001 0.775213i 0.125816 0.0388579i
\(399\) −0.169763 −0.00849876
\(400\) −6.84934 18.7906i −0.342467 0.939530i
\(401\) 9.05500i 0.452185i −0.974106 0.226093i \(-0.927405\pi\)
0.974106 0.226093i \(-0.0725952\pi\)
\(402\) −2.98862 9.67667i −0.149059 0.482629i
\(403\) 8.75073 18.0294i 0.435905 0.898109i
\(404\) −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
\(408\) 1.97317 + 1.57012i 0.0976865 + 0.0777323i
\(409\) −9.54287 −0.471865 −0.235932 0.971769i \(-0.575814\pi\)
−0.235932 + 0.971769i \(0.575814\pi\)
\(410\) 12.5719 + 16.1782i 0.620883 + 0.798985i
\(411\) 0.134228 0.00662097
\(412\) 4.16479 22.0973i 0.205184 1.08866i
\(413\) −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
\(418\) 0.221275 + 0.716451i 0.0108229 + 0.0350428i
\(419\) 17.1056 0.835662 0.417831 0.908525i \(-0.362790\pi\)
0.417831 + 0.908525i \(0.362790\pi\)
\(420\) 6.12016 + 4.28322i 0.298633 + 0.209000i
\(421\) 7.59120i 0.369972i 0.982741 + 0.184986i \(0.0592240\pi\)
−0.982741 + 0.184986i \(0.940776\pi\)
\(422\) −1.78038 5.76457i −0.0866673 0.280615i
\(423\) −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
\(428\) 37.0578 + 6.98447i 1.79126 + 0.337607i
\(429\) −4.89108 14.1167i −0.236144 0.681559i
\(430\) −1.36665 + 10.8952i −0.0659055 + 0.525414i
\(431\) −28.3057 −1.36344 −0.681718 0.731615i \(-0.738767\pi\)
−0.681718 + 0.731615i \(0.738767\pi\)
\(432\) 15.6248 6.84345i 0.751747 0.329256i
\(433\) 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
\(438\) −2.75292 8.91351i −0.131540 0.425904i
\(439\) 0.183524 0.00875913 0.00437956 0.999990i \(-0.498606\pi\)
0.00437956 + 0.999990i \(0.498606\pi\)
\(440\) 10.0993 31.4119i 0.481464 1.49750i
\(441\) −6.10540 −0.290733
\(442\) 3.38630 + 4.61442i 0.161070 + 0.219486i
\(443\) −5.69369 + 5.69369i −0.270516 + 0.270516i −0.829308 0.558792i \(-0.811265\pi\)
0.558792 + 0.829308i \(0.311265\pi\)
\(444\) −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
\(448\) −14.2649 8.92092i −0.673955 0.421474i
\(449\) 33.2458 1.56896 0.784482 0.620151i \(-0.212929\pi\)
0.784482 + 0.620151i \(0.212929\pi\)
\(450\) −14.2897 8.74384i −0.673623 0.412189i
\(451\) 33.8018i 1.59166i
\(452\) 33.3496 + 6.28555i 1.56863 + 0.295647i
\(453\) 2.08341 2.08341i 0.0978874 0.0978874i
\(454\) −9.06783 + 17.1719i −0.425575 + 0.805919i
\(455\) 10.8528 + 13.0273i 0.508789 + 0.610729i
\(456\) 0.226849 0.0258045i 0.0106232 0.00120841i
\(457\) −4.43340 4.43340i −0.207386 0.207386i 0.595770 0.803155i \(-0.296847\pi\)
−0.803155 + 0.595770i \(0.796847\pi\)
\(458\) −13.1655 + 4.06615i −0.615184 + 0.189998i
\(459\) 4.78681 0.223429
\(460\) 3.28847 + 18.6239i 0.153326 + 0.868345i
\(461\) 32.9895i 1.53648i 0.640165 + 0.768238i \(0.278866\pi\)
−0.640165 + 0.768238i \(0.721134\pi\)
\(462\) 3.63674 + 11.7752i 0.169196 + 0.547830i
\(463\) −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 0.0160967 0.999870i \(-0.494876\pi\)
−0.999870 + 0.0160967i \(0.994876\pi\)
\(468\) 16.8995 2.50647i 0.781181 0.115862i
\(469\) 18.9627i 0.875615i
\(470\) −1.88712 + 15.0446i −0.0870465 + 0.693954i
\(471\) 2.86652i 0.132082i
\(472\) 23.3535 + 18.5831i 1.07493 + 0.855356i
\(473\) −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
\(478\) 6.18953 + 20.0407i 0.283103 + 0.916641i
\(479\) 28.2046i 1.28870i −0.764730 0.644351i \(-0.777128\pi\)
0.764730 0.644351i \(-0.222872\pi\)
\(480\) −8.82927 4.79326i −0.402999 0.218781i
\(481\) −15.6694 + 5.42906i −0.714462 + 0.247544i
\(482\) 3.92227 + 12.6997i 0.178655 + 0.578455i
\(483\) −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 \(0.307456\pi\)
\(488\) 2.63617 3.31289i 0.119334 0.149967i
\(489\) 4.25881 0.192590
\(490\) 5.00038 + 6.43475i 0.225894 + 0.290692i
\(491\) 19.7932i 0.893253i −0.894720 0.446627i \(-0.852625\pi\)
0.894720 0.446627i \(-0.147375\pi\)
\(492\) 10.1139 + 1.90621i 0.455969 + 0.0859387i
\(493\) 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
\(498\) 15.6287 4.82689i 0.700338 0.216298i
\(499\) 15.1230i 0.677000i 0.940966 + 0.338500i \(0.109920\pi\)
−0.940966 + 0.338500i \(0.890080\pi\)
\(500\) 2.48788 + 22.2218i 0.111262 + 0.993791i
\(501\) 9.95634i 0.444817i
\(502\) −5.34821 17.3166i −0.238702 0.772879i
\(503\) −7.15930 + 7.15930i −0.319218 + 0.319218i −0.848467 0.529249i \(-0.822474\pi\)
0.529249 + 0.848467i \(0.322474\pi\)
\(504\) −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
\(507\) −10.2529 1.21897i −0.455349 0.0541365i
\(508\) −12.8744 2.42649i −0.571207 0.107658i
\(509\) 42.1615 1.86877 0.934387 0.356259i \(-0.115948\pi\)
0.934387 + 0.356259i \(0.115948\pi\)
\(510\) −1.72992 2.22615i −0.0766019 0.0985754i
\(511\) 17.4672i 0.772701i
\(512\) 20.4179 + 9.75246i 0.902351 + 0.431002i
\(513\) 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
\(518\) 13.0703 4.03675i 0.574278 0.177365i
\(519\) −9.57278 −0.420198
\(520\) −16.4826 15.7583i −0.722808 0.691049i
\(521\) 7.84375 0.343641 0.171821 0.985128i \(-0.445035\pi\)
0.171821 + 0.985128i \(0.445035\pi\)
\(522\) 10.1120 3.12309i 0.442592 0.136694i
\(523\) −23.4710 + 23.4710i −1.02631 + 1.02631i −0.0266693 + 0.999644i \(0.508490\pi\)
−0.999644 + 0.0266693i \(0.991510\pi\)
\(524\) −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
\(528\) −6.64954 15.1820i −0.289384 0.660714i
\(529\) 5.11676i 0.222468i
\(530\) −30.8122 3.86495i −1.33840 0.167883i
\(531\) 24.9990 1.08486
\(532\) −0.420087 0.0791757i −0.0182131 0.00343270i
\(533\) 21.0161 + 10.2004i 0.910309 + 0.441826i
\(534\) 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
\(538\) 4.71695 + 15.2727i 0.203362 + 0.658454i
\(539\) 13.4444i 0.579091i
\(540\) −18.7806 + 3.31613i −0.808188 + 0.142703i
\(541\) 23.2720i 1.00054i 0.865869 + 0.500271i \(0.166766\pi\)
−0.865869 + 0.500271i \(0.833234\pi\)
\(542\) −1.26051 + 0.389306i −0.0541436 + 0.0167221i
\(543\) −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 0.414743 0.909938i \(-0.363871\pi\)
−0.909938 + 0.414743i \(0.863871\pi\)
\(548\) 0.332154 + 0.0626026i 0.0141889 + 0.00267425i
\(549\) 3.54632i 0.151353i
\(550\) −19.2544 + 31.4666i −0.821009 + 1.34174i
\(551\) 0.321026 0.0136762
\(552\) 7.43367 + 5.91521i 0.316398 + 0.251768i
\(553\) 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 0.677170 0.735826i \(-0.263206\pi\)
−0.735826 + 0.677170i \(0.763206\pi\)
\(558\) −5.49564 17.7940i −0.232649 0.753279i
\(559\) 4.09876 + 11.8299i 0.173359 + 0.500350i
\(560\) 13.1470 + 13.4534i 0.555563 + 0.568512i
\(561\) 4.65118i 0.196373i
\(562\) 12.5312 + 40.5741i 0.528598 + 1.71152i
\(563\) 1.09528 1.09528i 0.0461608 0.0461608i −0.683650 0.729810i \(-0.739608\pi\)
0.729810 + 0.683650i \(0.239608\pi\)
\(564\) 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
\(568\) 3.05635 3.84093i 0.128242 0.161162i
\(569\) 26.0963i 1.09401i −0.837129 0.547006i \(-0.815767\pi\)
0.837129 0.547006i \(-0.184233\pi\)
\(570\) −0.253276 0.0317698i −0.0106086 0.00133069i
\(571\) 38.4087i 1.60735i 0.595066 + 0.803677i \(0.297126\pi\)
−0.595066 + 0.803677i \(0.702874\pi\)
\(572\) −5.51937 37.2136i −0.230776 1.55598i
\(573\) 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 0.535898 0.844282i \(-0.319973\pi\)
−0.844282 + 0.535898i \(0.819973\pi\)
\(578\) −6.56872 21.2685i −0.273223 0.884651i
\(579\) 8.21169i 0.341266i
\(580\) −11.5734 8.09970i −0.480560 0.336322i
\(581\) −30.6264 −1.27060
\(582\) −10.0628 + 3.10788i −0.417117 + 0.128826i
\(583\) −36.2262 36.2262i −1.50034 1.50034i
\(584\) −2.65507 23.3409i −0.109868 0.965853i
\(585\) −19.0222 1.73210i −0.786472 0.0716137i
\(586\) 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 \(0.226262\pi\)
\(588\) 4.02272 + 0.758180i 0.165894 + 0.0312668i
\(589\) 0.564904i 0.0232765i
\(590\) −20.4744 26.3475i −0.842918 1.08471i
\(591\) −5.14802 −0.211761
\(592\) −16.8519 + 7.38094i −0.692611 + 0.303355i
\(593\) −11.4211 + 11.4211i −0.469008 + 0.469008i −0.901593 0.432585i \(-0.857602\pi\)
0.432585 + 0.901593i \(0.357602\pi\)
\(594\) −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
\(598\) 12.7575 + 17.3842i 0.521691 + 0.710894i
\(599\) 32.8264 1.34125 0.670625 0.741796i \(-0.266026\pi\)
0.670625 + 0.741796i \(0.266026\pi\)
\(600\) 8.32936 + 7.53565i 0.340045 + 0.307642i
\(601\) 4.74265 0.193457 0.0967284 0.995311i \(-0.469162\pi\)
0.0967284 + 0.995311i \(0.469162\pi\)
\(602\) −3.04761 9.86767i −0.124211 0.402176i
\(603\) −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 0.403372 0.915036i \(-0.367838\pi\)
−0.915036 + 0.403372i \(0.867838\pi\)
\(608\) 0.573385 + 0.0419456i 0.0232539 + 0.00170112i
\(609\) 5.27620 0.213802
\(610\) −3.73762 + 2.90447i −0.151332 + 0.117599i
\(611\) 5.65974 + 16.3352i 0.228968 + 0.660850i
\(612\) 5.22676 + 0.985112i 0.211279 + 0.0398208i
\(613\) 18.6468 18.6468i 0.753135 0.753135i −0.221928 0.975063i \(-0.571235\pi\)
0.975063 + 0.221928i \(0.0712349\pi\)
\(614\) −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 0.865778 0.500429i \(-0.166824\pi\)
−0.500429 + 0.865778i \(0.666824\pi\)
\(618\) 3.72666 + 12.0663i 0.149908 + 0.485378i
\(619\) 38.4906i 1.54707i −0.633754 0.773535i \(-0.718487\pi\)
0.633754 0.773535i \(-0.281513\pi\)
\(620\) −14.2529 + 20.3655i −0.572410 + 0.817900i
\(621\) 18.0337 0.723666
\(622\) 5.16893 + 16.7362i 0.207255 + 0.671059i
\(623\) −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
\(628\) −1.33692 + 7.09337i −0.0533489 + 0.283056i
\(629\) −5.16277 −0.205853
\(630\) 15.6338 + 1.96104i 0.622867 + 0.0781297i
\(631\) 36.4065 1.44932 0.724660 0.689107i \(-0.241997\pi\)
0.724660 + 0.689107i \(0.241997\pi\)
\(632\) −2.52259 + 3.17015i −0.100343 + 0.126102i
\(633\) 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
\(637\) 8.35898 + 4.05711i 0.331195 + 0.160748i
\(638\) −6.87719 22.2672i −0.272270 0.881567i
\(639\) 4.11156i 0.162651i
\(640\) −19.6130 15.9791i −0.775271 0.631628i
\(641\) −13.3606 −0.527712 −0.263856 0.964562i \(-0.584994\pi\)
−0.263856 + 0.964562i \(0.584994\pi\)
\(642\) −20.2355 + 6.24970i −0.798632 + 0.246656i
\(643\) 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 0.982823 0.184549i \(-0.0590824\pi\)
−0.184549 + 0.982823i \(0.559082\pi\)
\(648\) 6.55239 8.23442i 0.257402 0.323479i
\(649\) 55.0490i 2.16086i
\(650\) 13.7539 + 21.4670i 0.539470 + 0.842005i
\(651\) 9.28443i 0.363885i
\(652\) 10.5387 + 1.98627i 0.412725 + 0.0777883i
\(653\) 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
\(658\) −4.20827 13.6257i −0.164055 0.531185i
\(659\) −19.3163 −0.752456 −0.376228 0.926527i \(-0.622779\pi\)
−0.376228 + 0.926527i \(0.622779\pi\)
\(660\) 3.22217 + 18.2485i 0.125423 + 0.710320i
\(661\) 5.24920i 0.204170i 0.994776 + 0.102085i \(0.0325514\pi\)
−0.994776 + 0.102085i \(0.967449\pi\)
\(662\) 36.3148 11.2158i 1.41142 0.435913i
\(663\) −2.89185 1.40358i −0.112310 0.0545107i
\(664\) 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
\(668\) −4.64355 + 24.6375i −0.179664 + 0.953254i
\(669\) 13.5584 0.524198
\(670\) −3.54872 + 28.2912i −0.137099 + 1.09299i
\(671\) −7.80917 −0.301470
\(672\) 9.42382 + 0.689394i 0.363532 + 0.0265939i
\(673\) −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 \(0.152634\pi\)
\(678\) −18.2106 + 5.62431i −0.699374 + 0.216000i
\(679\) 19.7193 0.756759
\(680\) −3.24252 6.31553i −0.124345 0.242190i
\(681\) 10.9060i 0.417920i
\(682\) −39.1832 + 12.1017i −1.50040 + 0.463396i
\(683\) 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
\(688\) 5.57236 + 12.7227i 0.212444 + 0.485047i
\(689\) −33.4555 + 11.5915i −1.27455 + 0.441602i
\(690\) −6.51723 8.38672i −0.248107 0.319277i
\(691\) −7.44985 −0.283406 −0.141703 0.989909i \(-0.545258\pi\)
−0.141703 + 0.989909i \(0.545258\pi\)
\(692\) −23.6884 4.46466i −0.900496 0.169721i
\(693\) 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
\(698\) 31.1904 9.63310i 1.18057 0.364618i
\(699\) 2.69634 0.101985
\(700\) −10.7374 18.0833i −0.405837 0.683485i
\(701\) 26.0315 0.983196 0.491598 0.870822i \(-0.336413\pi\)
0.491598 + 0.870822i \(0.336413\pi\)
\(702\) −17.5305 + 12.8648i −0.661645 + 0.485550i
\(703\) −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
\(708\) −16.4713 3.10442i −0.619029 0.116671i
\(709\) −29.8029 −1.11927 −0.559636 0.828738i \(-0.689059\pi\)
−0.559636 + 0.828738i \(0.689059\pi\)
\(710\) −4.33336 + 3.36741i −0.162628 + 0.126377i
\(711\) 3.39352i 0.127267i
\(712\) 11.4406 14.3775i 0.428755 0.538818i
\(713\) 16.6208 16.6208i 0.622454 0.622454i
\(714\) 2.34478 + 1.23819i 0.0877510 + 0.0463379i
\(715\) −3.81418 + 41.8879i −0.142642 + 1.56652i
\(716\) 32.2828 22.0437i 1.20647 0.823810i
\(717\) −8.32952 8.32952i −0.311072 0.311072i
\(718\) 0.536394 + 1.73676i 0.0200181 + 0.0648152i
\(719\) 3.67225 0.136952 0.0684760 0.997653i \(-0.478186\pi\)
0.0684760 + 0.997653i \(0.478186\pi\)
\(720\) −21.1892 0.244083i −0.789674 0.00909643i
\(721\) 23.6455i 0.880603i
\(722\) −25.6595 + 7.92490i −0.954949 + 0.294934i
\(723\) −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 0.213833 0.976870i \(-0.431405\pi\)
−0.976870 + 0.213833i \(0.931405\pi\)
\(728\) 20.2296 + 7.12414i 0.749760 + 0.264038i
\(729\) 1.34635i 0.0498646i
\(730\) −3.26885 + 26.0600i −0.120985 + 0.964523i
\(731\) 3.89772i 0.144162i
\(732\) −0.440389 + 2.33659i −0.0162772 + 0.0863630i
\(733\) −12.1861 + 12.1861i −0.450105 + 0.450105i −0.895389 0.445284i \(-0.853103\pi\)
0.445284 + 0.895389i \(0.353103\pi\)
\(734\) 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
\(738\) 20.7417 6.40603i 0.763512 0.235809i
\(739\) 40.3506i 1.48432i −0.670223 0.742160i \(-0.733802\pi\)
0.670223 0.742160i \(-0.266198\pi\)
\(740\) 20.2556 3.57658i 0.744612 0.131478i
\(741\) −0.275003 + 0.0952820i −0.0101025 + 0.00350027i
\(742\) 27.9063 8.61881i 1.02447 0.316407i
\(743\) 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
\(748\) 2.16927 11.5096i 0.0793162 0.420832i
\(749\) 39.6541 1.44893
\(750\) −7.06319 10.3835i −0.257911 0.379151i
\(751\) 15.9959i 0.583698i −0.956464 0.291849i \(-0.905730\pi\)
0.956464 0.291849i \(-0.0942704\pi\)
\(752\) 7.69455 + 17.5680i 0.280592 + 0.640638i
\(753\) 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 \(0.401332\pi\)
\(758\) −8.30104 26.8774i −0.301507 0.976232i
\(759\) 17.5227i 0.636034i
\(760\) −0.611928 0.196742i −0.0221970 0.00713657i
\(761\) 17.5187i 0.635053i −0.948249 0.317526i \(-0.897148\pi\)
0.948249 0.317526i \(-0.102852\pi\)
\(762\) 7.03007 2.17122i 0.254672 0.0786551i
\(763\) 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
\(767\) −34.2264 16.6121i −1.23585 0.599829i
\(768\) −12.6976 + 0.511238i −0.458185 + 0.0184477i
\(769\) −0.804873 −0.0290244 −0.0145122 0.999895i \(-0.504620\pi\)
−0.0145122 + 0.999895i \(0.504620\pi\)
\(770\) 4.31830 34.4265i 0.155621 1.24064i
\(771\) 5.20675i 0.187516i
\(772\) −3.82986 + 20.3203i −0.137840 + 0.731343i
\(773\) 9.62801 9.62801i 0.346296 0.346296i −0.512432 0.858728i \(-0.671255\pi\)
0.858728 + 0.512432i \(0.171255\pi\)
\(774\) 10.2880 + 5.43267i 0.369793 + 0.195273i
\(775\) 20.8550 18.3696i