Properties

Label 260.2.p.d.103.19
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 103.19
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.19

$q$-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} +(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} +(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} +(-3.72595 - 3.48099i) 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} +(-6.25857 + 3.58193i) 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} +(-0.731099 + 8.02904i) 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} +(4.04752 - 0.137577i) 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 −0.929896 0.367822i \(-0.880104\pi\)
0.367822 + 0.929896i \(0.380104\pi\)
\(8\) −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 \(-0.788109\pi\)
−0.786499 + 0.617591i \(0.788109\pi\)
\(12\) 1.56100 0.294209i 0.450622 0.0849309i
\(13\) 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 \(0.206536\pi\)
\(18\) 3.20132 + 0.988721i 0.754558 + 0.233044i
\(19\) 0.101632i 0.0233160i 0.999932 + 0.0116580i \(0.00371094\pi\)
−0.999932 + 0.0116580i \(0.996289\pi\)
\(20\) 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
\(26\) −3.72595 3.48099i −0.730720 0.682678i
\(27\) −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 \(-0.666355\pi\)
−0.499152 + 0.866514i \(0.666355\pi\)
\(32\) 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 0.387292 0.921957i \(-0.373411\pi\)
−0.921957 + 0.387292i \(0.873411\pi\)
\(38\) 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 \(0.168852\pi\)
−0.862573 + 0.505933i \(0.831148\pi\)
\(42\) −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 −0.415190 0.909735i \(-0.636285\pi\)
0.909735 + 0.415190i \(0.136285\pi\)
\(48\) −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
\(52\) −6.25857 + 3.58193i −0.867908 + 0.496725i
\(53\) −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 \(0.241012\pi\)
−0.726789 + 0.686860i \(0.758988\pi\)
\(60\) −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
\(65\) −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 −0.200732 0.979646i \(-0.564332\pi\)
0.979646 + 0.200732i \(0.0643322\pi\)
\(68\) −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 \(-0.467162\pi\)
0.102979 + 0.994683i \(0.467162\pi\)
\(72\) −4.17245 5.24354i −0.491728 0.617957i
\(73\) −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
\(78\) 4.04752 0.137577i 0.458292 0.0155776i
\(79\) −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 \(0.0447565\pi\)
0.140144 + 0.990131i \(0.455243\pi\)
\(84\) −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 \(-0.611882\pi\)
−0.344295 + 0.938862i \(0.611882\pi\)
\(90\) −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 0.958449 0.285265i \(-0.0920816\pi\)
−0.285265 + 0.958449i \(0.592082\pi\)
\(98\) 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 \(0.436866\pi\)
\(104\) 2.22817 + 9.95165i 0.218490 + 0.975839i
\(105\) 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 \(-0.189223\pi\)
0.828451 + 0.560062i \(0.189223\pi\)
\(110\) −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
\(117\) 7.68485 + 3.72991i 0.710464 + 0.344830i
\(118\) 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
\(130\) 10.5440 + 4.33862i 0.924772 + 0.380522i
\(131\) 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 0.712193 0.701983i \(-0.247702\pi\)
−0.701983 + 0.712193i \(0.747702\pi\)
\(138\) −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
\(143\) −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
\(148\) 1.70373 + 9.03957i 0.140046 + 0.743048i
\(149\) −9.51723 −0.779682 −0.389841 0.920882i \(-0.627470\pi\)
−0.389841 + 0.920882i \(0.627470\pi\)
\(150\) 5.25051 + 1.99330i 0.428702 + 0.162753i
\(151\) −3.70969 −0.301890 −0.150945 0.988542i \(-0.548232\pi\)
−0.150945 + 0.988542i \(0.548232\pi\)
\(152\) −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
\(156\) 1.50324 5.52657i 0.120355 0.442480i
\(157\) −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 0.542850 0.839830i \(-0.317345\pi\)
−0.839830 + 0.542850i \(0.817345\pi\)
\(164\) 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 −0.275408 0.961328i \(-0.588813\pi\)
0.961328 + 0.275408i \(0.0888128\pi\)
\(168\) 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 \(0.636767\pi\)
\(182\) 10.7175 0.364294i 0.794435 0.0270032i
\(183\) 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 −0.919450 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 \(0.824167\pi\)
\(198\) −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
\(208\) 14.3769 + 1.14231i 0.996858 + 0.0792046i
\(209\) 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 0.176052 0.984381i \(-0.443667\pi\)
−0.984381 + 0.176052i \(0.943667\pi\)
\(224\) −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 −0.951645 0.307200i \(-0.900608\pi\)
0.307200 + 0.951645i \(0.400608\pi\)
\(228\) 0.0299011 + 0.158648i 0.00198025 + 0.0105067i
\(229\) 9.74332 0.643856 0.321928 0.946764i \(-0.395669\pi\)
0.321928 + 0.946764i \(0.395669\pi\)
\(230\) −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 \(0.714530\pi\)
\(234\) 8.24708 8.82745i 0.539128 0.577069i
\(235\) −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 \(0.159248\pi\)
−0.877443 + 0.479682i \(0.840752\pi\)
\(240\) 7.09441 + 0.367532i 0.457942 + 0.0237241i
\(241\) 9.39857i 0.605415i −0.953083 0.302708i \(-0.902109\pi\)
0.953083 0.302708i \(-0.0978906\pi\)
\(242\) 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
\(247\) 0.329661 + 0.160004i 0.0209759 + 0.0101808i
\(248\) 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
\(260\) 10.2628 12.4368i 0.636472 0.771300i
\(261\) −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 \(-0.509020\pi\)
−0.0283335 + 0.999599i \(0.509020\pi\)
\(272\) 4.11279 + 1.80135i 0.249375 + 0.109223i
\(273\) −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 \(0.482915\pi\)
\(278\) 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 \(-0.646716\pi\)
0.444775 0.895642i \(-0.353284\pi\)
\(282\) 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
\(286\) 19.4385 + 18.1605i 1.14942 + 1.07385i
\(287\) −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 −0.911416 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
\(298\) −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 −0.976221 0.216779i \(-0.930445\pi\)
0.216779 + 0.976221i \(0.430445\pi\)
\(308\) −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 \(0.885785\pi\)
\(312\) −6.84036 4.33762i −0.387259 0.245569i
\(313\) −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 \(0.877981\pi\)
\(318\) 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
\(325\) −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
\(328\) −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 \(-0.235488\pi\)
0.738599 + 0.674145i \(0.235488\pi\)
\(332\) −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 \(0.401449\pi\)
\(338\) −17.1571 + 6.60551i −0.933225 + 0.359292i
\(339\) −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 \(-0.711975\pi\)
−0.617799 + 0.786336i \(0.711975\pi\)
\(350\) 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 −0.956020 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
\(358\) −8.15685 + 26.4106i −0.431103 + 1.39584i
\(359\) 1.28531i 0.0678361i 0.999425 + 0.0339181i \(0.0107985\pi\)
−0.999425 + 0.0339181i \(0.989201\pi\)
\(360\) 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
\(364\) 3.98046 14.6339i 0.208633 0.767026i
\(365\) 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
\(377\) 10.2458 + 4.97291i 0.527687 + 0.256118i
\(378\) 3.74279 12.1185i 0.192508 0.623310i
\(379\) 19.8910i 1.02173i −0.859660 0.510866i \(-0.829325\pi\)
0.859660 0.510866i \(-0.170675\pi\)
\(380\) −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 0.655605 0.755104i \(-0.272414\pi\)
−0.755104 + 0.655605i \(0.772414\pi\)
\(384\) 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 \(0.873895\pi\)
\(390\) −8.35830 + 3.48504i −0.423239 + 0.176472i
\(391\) 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 0.531402 0.847120i \(-0.321665\pi\)
−0.847120 + 0.531402i \(0.821665\pi\)
\(398\) 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 \(-0.927405\pi\)
0.974106 0.226093i \(-0.0725952\pi\)
\(402\) 9.67667 + 2.98862i 0.482629 + 0.149059i
\(403\) −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
\(408\) −1.57012 1.97317i −0.0777323 0.0976865i
\(409\) −9.54287 −0.471865 −0.235932 0.971769i \(-0.575814\pi\)
−0.235932 + 0.971769i \(0.575814\pi\)
\(410\) −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
\(416\) 7.54339 18.9499i 0.369845 0.929094i
\(417\) −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 \(0.0592240\pi\)
−0.982741 + 0.184986i \(0.940776\pi\)
\(422\) −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 \(-0.261233\pi\)
0.681718 + 0.731615i \(0.261233\pi\)
\(432\) 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
\(442\) −5.72032 + 0.194437i −0.272088 + 0.00924841i
\(443\) 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 \(-0.212929\pi\)
0.784482 + 0.620151i \(0.212929\pi\)
\(450\) 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
\(455\) −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 \(0.796847\pi\)
\(458\) 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 \(0.278866\pi\)
−0.640165 + 0.768238i \(0.721134\pi\)
\(462\) 11.7752 + 3.63674i 0.547830 + 0.169196i
\(463\) 14.2854 + 14.2854i 0.663897 + 0.663897i 0.956296 0.292399i \(-0.0944536\pi\)
−0.292399 + 0.956296i \(0.594454\pi\)
\(464\) −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 \(0.505124\pi\)
\(468\) −8.48624 14.8277i −0.392277 0.685410i
\(469\) 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 \(0.222872\pi\)
−0.764730 + 0.644351i \(0.777128\pi\)
\(480\) 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 −0.568676 0.822561i \(-0.692544\pi\)
0.822561 + 0.568676i \(0.192544\pi\)
\(488\) 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
\(494\) 0.353780 0.378676i 0.0159173 0.0170375i
\(495\) 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 \(-0.890080\pi\)
0.940966 0.338500i \(-0.109920\pi\)
\(500\) 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
\(507\) 10.2529 + 1.21897i 0.455349 + 0.0541365i
\(508\) −2.42649 12.8744i −0.107658 0.571207i
\(509\) 42.1615 1.86877 0.934387 0.356259i \(-0.115948\pi\)
0.934387 + 0.356259i \(0.115948\pi\)
\(510\) −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
\(520\) −12.5222 19.0577i −0.549133 0.835735i
\(521\) 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
\(533\) 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
\(538\) −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 \(0.166766\pi\)
−0.865869 + 0.500271i \(0.833234\pi\)
\(542\) −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
\(546\) −5.81452 + 6.22370i −0.248838 + 0.266350i
\(547\) 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 0.677170 0.735826i \(-0.263206\pi\)
−0.735826 + 0.677170i \(0.763206\pi\)
\(558\) −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 \(-0.297126\pi\)
\(572\) 32.6513 18.6871i 1.36522 0.781348i
\(573\) 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 \(0.819973\pi\)
\(578\) 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
\(585\) −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 −0.757825 0.652458i \(-0.773738\pi\)
0.652458 + 0.757825i \(0.273738\pi\)
\(588\) 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 −0.901593 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
\(598\) 21.5506 0.732515i 0.881269 0.0299548i
\(599\) −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 −0.221928 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 \(0.666824\pi\)
\(618\) −12.0663 3.72666i −0.485378 0.149908i
\(619\) 38.4906i 1.54707i 0.633754 + 0.773535i \(0.281513\pi\)
−0.633754 + 0.773535i \(0.718487\pi\)
\(620\) −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
\(624\) −8.71581 + 7.43274i −0.348911 + 0.297548i
\(625\) 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 \(-0.758003\pi\)
−0.724660 + 0.689107i \(0.758003\pi\)
\(632\) 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
\(637\) 8.35898 + 4.05711i 0.331195 + 0.160748i
\(638\) −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 0.290045 0.957013i \(-0.406330\pi\)
−0.957013 + 0.290045i \(0.906330\pi\)
\(644\) −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
\(650\) −25.4842 0.746921i −0.999571 0.0292966i
\(651\) 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 \(0.0325514\pi\)
−0.994776 + 0.102085i \(0.967449\pi\)
\(662\) 11.2158 36.3148i 0.435913 1.41142i
\(663\) 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
\(668\) −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
\(676\) 1.76547 + 25.9400i 0.0679025 + 0.997692i
\(677\) 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 0.479555 0.877512i \(-0.340798\pi\)
−0.877512 + 0.479555i \(0.840798\pi\)
\(684\) 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 \(-0.454742\pi\)
0.141703 + 0.989909i \(0.454742\pi\)
\(692\) 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 \(0.336413\pi\)
\(702\) 0.738677 + 21.7319i 0.0278796 + 0.820216i
\(703\) 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 \(-0.689059\pi\)
−0.559636 + 0.828738i \(0.689059\pi\)
\(710\) 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
\(715\) 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
\(718\) 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 \(0.568595\pi\)
\(728\) −18.1127 11.4857i −0.671302 0.425687i
\(729\) 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 −0.895389 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
\(738\) −6.40603 + 20.7417i −0.235809 + 0.763512i
\(739\) 40.3506i 1.48432i 0.670223 + 0.742160i \(0.266198\pi\)
−0.670223 + 0.742160i \(0.733802\pi\)
\(740\) −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 \(-0.981998\pi\)
−0.0565244 0.998401i \(-0.518002\pi\)
\(744\) −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
\(754\) 10.9954 11.7692i 0.400430 0.428609i
\(755\) 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 \(-0.897148\pi\)
0.948249 0.317526i \(-0.102852\pi\)
\(762\) −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
\(767\) 34.2264 + 16.6121i 1.23585 + 0.599829i
\(768\) 0.511238 12.6976i 0.0184477 0.458185i
\(769\) −0.804873 −0.0290244 −0.0145122 0.999895i \(-0.504620\pi\)
−0.0145122 + 0.999895i \(0.504620\pi\)
\(770\) 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 −0.512432 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 −0.749134