Properties

Label 12.20.b.a.11.12
Level 12
Weight 20
Character 12.11
Analytic conductor 27.458
Analytic rank 0
Dimension 36
CM No

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Newspace parameters

Level: \( N \) = \( 12 = 2^{2} \cdot 3 \)
Weight: \( k \) = \( 20 \)
Character orbit: \([\chi]\) = 12.b (of order \(2\) and degree \(1\))

Newform invariants

Self dual: No
Analytic conductor: \(27.4580035868\)
Analytic rank: \(0\)
Dimension: \(36\)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 11.12
Character \(\chi\) = 12.11
Dual form 12.20.b.a.11.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-395.354 + 606.616i) q^{2} +(-27131.3 - 20643.4i) q^{3} +(-211678. - 479656. i) q^{4} -730760. i q^{5} +(2.32491e7 - 8.29684e6i) q^{6} +7.02914e6i q^{7} +(3.74655e8 + 6.12270e7i) q^{8} +(3.09959e8 + 1.12017e9i) q^{9} +O(q^{10})\) \(q+(-395.354 + 606.616i) q^{2} +(-27131.3 - 20643.4i) q^{3} +(-211678. - 479656. i) q^{4} -730760. i q^{5} +(2.32491e7 - 8.29684e6i) q^{6} +7.02914e6i q^{7} +(3.74655e8 + 6.12270e7i) q^{8} +(3.09959e8 + 1.12017e9i) q^{9} +(4.43291e8 + 2.88909e8i) q^{10} +9.08653e9 q^{11} +(-4.15865e9 + 1.73835e10i) q^{12} -2.88811e10 q^{13} +(-4.26399e9 - 2.77900e9i) q^{14} +(-1.50854e10 + 1.98265e10i) q^{15} +(-1.85263e11 + 2.03065e11i) q^{16} +3.88234e11i q^{17} +(-8.02056e11 - 2.54837e11i) q^{18} -1.03792e12i q^{19} +(-3.50514e11 + 1.54686e11i) q^{20} +(1.45106e11 - 1.90710e11i) q^{21} +(-3.59240e12 + 5.51203e12i) q^{22} +2.94119e12 q^{23} +(-8.90096e12 - 9.39534e12i) q^{24} +1.85395e13 q^{25} +(1.14183e13 - 1.75198e13i) q^{26} +(1.47145e13 - 3.67903e13i) q^{27} +(3.37157e12 - 1.48791e12i) q^{28} -8.24391e13i q^{29} +(-6.06300e12 - 1.69895e13i) q^{30} +2.06352e12i q^{31} +(-4.99383e13 - 1.92666e14i) q^{32} +(-2.46530e14 - 1.87577e14i) q^{33} +(-2.35509e14 - 1.53490e14i) q^{34} +5.13662e12 q^{35} +(4.71685e14 - 3.85789e14i) q^{36} -1.42060e15 q^{37} +(6.29617e14 + 4.10345e14i) q^{38} +(7.83584e14 + 5.96206e14i) q^{39} +(4.47423e13 - 2.73783e14i) q^{40} -1.17371e15i q^{41} +(5.83197e13 + 1.63421e14i) q^{42} -3.15853e15i q^{43} +(-1.92342e15 - 4.35841e15i) q^{44} +(8.18575e14 - 2.26505e14i) q^{45} +(-1.16281e15 + 1.78417e15i) q^{46} -8.86803e15 q^{47} +(9.21840e15 - 1.68498e15i) q^{48} +1.13495e16 q^{49} +(-7.32966e15 + 1.12463e16i) q^{50} +(8.01447e15 - 1.05333e16i) q^{51} +(6.11350e15 + 1.38530e16i) q^{52} +3.81942e16i q^{53} +(1.65001e16 + 2.34713e16i) q^{54} -6.64007e15i q^{55} +(-4.30373e14 + 2.63350e15i) q^{56} +(-2.14262e16 + 2.81601e16i) q^{57} +(5.00089e16 + 3.25926e16i) q^{58} -1.21384e17 q^{59} +(1.27032e16 + 3.03897e15i) q^{60} -1.00812e17 q^{61} +(-1.25176e15 - 8.15820e14i) q^{62} +(-7.87382e15 + 2.17874e15i) q^{63} +(1.36618e17 + 4.58780e16i) q^{64} +2.11052e16i q^{65} +(2.11254e17 - 7.53895e16i) q^{66} -3.94692e17i q^{67} +(1.86219e17 - 8.21805e16i) q^{68} +(-7.97985e16 - 6.07163e16i) q^{69} +(-2.03078e15 + 3.11595e15i) q^{70} -5.81989e16 q^{71} +(4.75430e16 + 4.38655e17i) q^{72} -3.90789e17 q^{73} +(5.61642e17 - 8.61761e17i) q^{74} +(-5.03001e17 - 3.82718e17i) q^{75} +(-4.97843e17 + 2.19704e17i) q^{76} +6.38705e16i q^{77} +(-6.71461e17 + 2.39622e17i) q^{78} -1.66380e18i q^{79} +(1.48392e17 + 1.35383e17i) q^{80} +(-1.15870e18 + 6.94412e17i) q^{81} +(7.11989e17 + 4.64030e17i) q^{82} +1.76496e17 q^{83} +(-1.22191e17 - 2.92317e16i) q^{84} +2.83706e17 q^{85} +(1.91602e18 + 1.24874e18i) q^{86} +(-1.70183e18 + 2.23668e18i) q^{87} +(3.40431e18 + 5.56341e17i) q^{88} +1.08426e18i q^{89} +(-1.86225e17 + 5.86110e17i) q^{90} -2.03010e17i q^{91} +(-6.22585e17 - 1.41076e18i) q^{92} +(4.25981e16 - 5.59860e16i) q^{93} +(3.50601e18 - 5.37949e18i) q^{94} -7.58468e17 q^{95} +(-2.62240e18 + 6.25819e18i) q^{96} +8.25125e18 q^{97} +(-4.48707e18 + 6.88478e18i) q^{98} +(2.81645e18 + 1.01784e19i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 47880q^{4} + 21771144q^{6} - 809473644q^{9} + O(q^{10}) \) \( 36q - 47880q^{4} + 21771144q^{6} - 809473644q^{9} - 4162950000q^{10} - 2268767880q^{12} - 25913431656q^{13} + 791689296672q^{16} + 2852271258192q^{18} - 1650825908424q^{21} + 7247870602416q^{22} + 23719435803936q^{24} - 118879690462380q^{25} - 7629081673968q^{28} + 37456727138640q^{30} + 529254701828640q^{33} - 248241675948480q^{34} - 1177548745309416q^{36} + 1847838600168120q^{37} - 40433256181440q^{40} - 2709671988768336q^{42} - 4365410114088000q^{45} + 17206125364795104q^{46} + 1561106052682272q^{48} - 49399737041580084q^{49} + 16558671470242896q^{52} + 40087412948587896q^{54} + 44803667812766472q^{57} - 34645536255764880q^{58} + 50260381053157440q^{60} + 174742350239997144q^{61} - 139766490424918656q^{64} - 87772097712685968q^{66} - 957190369821780672q^{69} + 244663962371376480q^{70} + 54134736422921280q^{72} - 1445122541399481432q^{73} + 2744130151937256048q^{76} + 1125465917961999024q^{78} + 1033298241353042436q^{81} + 1064985418859680800q^{82} + 1920709484261873424q^{84} - 1802899595088057600q^{85} - 9209792381828477760q^{88} - 5194944179528261040q^{90} + 6719944190337314136q^{93} - 3835186345170303552q^{94} - 11947184361208227456q^{96} + 12765226159947004488q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(7\)
\(\chi(n)\) \(-1\) \(-1\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −395.354 + 606.616i −0.546011 + 0.837778i
\(3\) −27131.3 20643.4i −0.795828 0.605522i
\(4\) −211678. 479656.i −0.403744 0.914872i
\(5\) 730760.i 0.167325i −0.996494 0.0836623i \(-0.973338\pi\)
0.996494 0.0836623i \(-0.0266617\pi\)
\(6\) 2.32491e7 8.29684e6i 0.941824 0.336106i
\(7\) 7.02914e6i 0.0658371i 0.999458 + 0.0329186i \(0.0104802\pi\)
−0.999458 + 0.0329186i \(0.989520\pi\)
\(8\) 3.74655e8 + 6.12270e7i 0.986908 + 0.161283i
\(9\) 3.09959e8 + 1.12017e9i 0.266686 + 0.963784i
\(10\) 4.43291e8 + 2.88909e8i 0.140181 + 0.0913611i
\(11\) 9.08653e9 1.16190 0.580948 0.813941i \(-0.302682\pi\)
0.580948 + 0.813941i \(0.302682\pi\)
\(12\) −4.15865e9 + 1.73835e10i −0.232665 + 0.972557i
\(13\) −2.88811e10 −0.755357 −0.377679 0.925937i \(-0.623278\pi\)
−0.377679 + 0.925937i \(0.623278\pi\)
\(14\) −4.26399e9 2.77900e9i −0.0551569 0.0359478i
\(15\) −1.50854e10 + 1.98265e10i −0.101319 + 0.133162i
\(16\) −1.85263e11 + 2.03065e11i −0.673982 + 0.738748i
\(17\) 3.88234e11i 0.794014i 0.917815 + 0.397007i \(0.129951\pi\)
−0.917815 + 0.397007i \(0.870049\pi\)
\(18\) −8.02056e11 2.54837e11i −0.953050 0.302813i
\(19\) 1.03792e12i 0.737910i −0.929447 0.368955i \(-0.879716\pi\)
0.929447 0.368955i \(-0.120284\pi\)
\(20\) −3.50514e11 + 1.54686e11i −0.153081 + 0.0675563i
\(21\) 1.45106e11 1.90710e11i 0.0398658 0.0523951i
\(22\) −3.59240e12 + 5.51203e12i −0.634408 + 0.973411i
\(23\) 2.94119e12 0.340493 0.170247 0.985401i \(-0.445544\pi\)
0.170247 + 0.985401i \(0.445544\pi\)
\(24\) −8.90096e12 9.39534e12i −0.687749 0.725948i
\(25\) 1.85395e13 0.972002
\(26\) 1.14183e13 1.75198e13i 0.412434 0.632822i
\(27\) 1.47145e13 3.67903e13i 0.371356 0.928491i
\(28\) 3.37157e12 1.48791e12i 0.0602326 0.0265813i
\(29\) 8.24391e13i 1.05524i −0.849480 0.527621i \(-0.823084\pi\)
0.849480 0.527621i \(-0.176916\pi\)
\(30\) −6.06300e12 1.69895e13i −0.0562388 0.157590i
\(31\) 2.06352e12i 0.0140175i 0.999975 + 0.00700877i \(0.00223098\pi\)
−0.999975 + 0.00700877i \(0.997769\pi\)
\(32\) −4.99383e13 1.92666e14i −0.250905 0.968012i
\(33\) −2.46530e14 1.87577e14i −0.924670 0.703554i
\(34\) −2.35509e14 1.53490e14i −0.665208 0.433541i
\(35\) 5.13662e12 0.0110162
\(36\) 4.71685e14 3.85789e14i 0.774066 0.633105i
\(37\) −1.42060e15 −1.79703 −0.898517 0.438938i \(-0.855355\pi\)
−0.898517 + 0.438938i \(0.855355\pi\)
\(38\) 6.29617e14 + 4.10345e14i 0.618204 + 0.402907i
\(39\) 7.83584e14 + 5.96206e14i 0.601135 + 0.457386i
\(40\) 4.47423e13 2.73783e14i 0.0269866 0.165134i
\(41\) 1.17371e15i 0.559903i −0.960014 0.279952i \(-0.909682\pi\)
0.960014 0.279952i \(-0.0903185\pi\)
\(42\) 5.83197e13 + 1.63421e14i 0.0221282 + 0.0620070i
\(43\) 3.15853e15i 0.958375i −0.877713 0.479187i \(-0.840931\pi\)
0.877713 0.479187i \(-0.159069\pi\)
\(44\) −1.92342e15 4.35841e15i −0.469108 1.06299i
\(45\) 8.18575e14 2.26505e14i 0.161265 0.0446231i
\(46\) −1.16281e15 + 1.78417e15i −0.185913 + 0.285258i
\(47\) −8.86803e15 −1.15584 −0.577920 0.816094i \(-0.696135\pi\)
−0.577920 + 0.816094i \(0.696135\pi\)
\(48\) 9.21840e15 1.68498e15i 0.983702 0.179805i
\(49\) 1.13495e16 0.995665
\(50\) −7.32966e15 + 1.12463e16i −0.530724 + 0.814322i
\(51\) 8.01447e15 1.05333e16i 0.480793 0.631899i
\(52\) 6.11350e15 + 1.38530e16i 0.304971 + 0.691055i
\(53\) 3.81942e16i 1.58992i 0.606659 + 0.794962i \(0.292509\pi\)
−0.606659 + 0.794962i \(0.707491\pi\)
\(54\) 1.65001e16 + 2.34713e16i 0.575104 + 0.818080i
\(55\) 6.64007e15i 0.194414i
\(56\) −4.30373e14 + 2.63350e15i −0.0106184 + 0.0649752i
\(57\) −2.14262e16 + 2.81601e16i −0.446821 + 0.587250i
\(58\) 5.00089e16 + 3.25926e16i 0.884059 + 0.576174i
\(59\) −1.21384e17 −1.82418 −0.912089 0.409993i \(-0.865531\pi\)
−0.912089 + 0.409993i \(0.865531\pi\)
\(60\) 1.27032e16 + 3.03897e15i 0.162733 + 0.0389305i
\(61\) −1.00812e17 −1.10377 −0.551886 0.833920i \(-0.686092\pi\)
−0.551886 + 0.833920i \(0.686092\pi\)
\(62\) −1.25176e15 8.15820e14i −0.0117436 0.00765373i
\(63\) −7.87382e15 + 2.17874e15i −0.0634527 + 0.0175578i
\(64\) 1.36618e17 + 4.58780e16i 0.947976 + 0.318343i
\(65\) 2.11052e16i 0.126390i
\(66\) 2.11254e17 7.53895e16i 1.09430 0.390520i
\(67\) 3.94692e17i 1.77234i −0.463359 0.886171i \(-0.653356\pi\)
0.463359 0.886171i \(-0.346644\pi\)
\(68\) 1.86219e17 8.21805e16i 0.726422 0.320578i
\(69\) −7.97985e16 6.07163e16i −0.270974 0.206176i
\(70\) −2.03078e15 + 3.11595e15i −0.00601495 + 0.00922911i
\(71\) −5.81989e16 −0.150647 −0.0753235 0.997159i \(-0.523999\pi\)
−0.0753235 + 0.997159i \(0.523999\pi\)
\(72\) 4.75430e16 + 4.38655e17i 0.107753 + 0.994178i
\(73\) −3.90789e17 −0.776918 −0.388459 0.921466i \(-0.626992\pi\)
−0.388459 + 0.921466i \(0.626992\pi\)
\(74\) 5.61642e17 8.61761e17i 0.981201 1.50552i
\(75\) −5.03001e17 3.82718e17i −0.773547 0.588569i
\(76\) −4.97843e17 + 2.19704e17i −0.675093 + 0.297926i
\(77\) 6.38705e16i 0.0764959i
\(78\) −6.71461e17 + 2.39622e17i −0.711414 + 0.253880i
\(79\) 1.66380e18i 1.56186i −0.624616 0.780932i \(-0.714744\pi\)
0.624616 0.780932i \(-0.285256\pi\)
\(80\) 1.48392e17 + 1.35383e17i 0.123611 + 0.112774i
\(81\) −1.15870e18 + 6.94412e17i −0.857757 + 0.514055i
\(82\) 7.11989e17 + 4.64030e17i 0.469075 + 0.305713i
\(83\) 1.76496e17 0.103632 0.0518159 0.998657i \(-0.483499\pi\)
0.0518159 + 0.998657i \(0.483499\pi\)
\(84\) −1.22191e17 2.92317e16i −0.0640304 0.0153180i
\(85\) 2.83706e17 0.132858
\(86\) 1.91602e18 + 1.24874e18i 0.802905 + 0.523283i
\(87\) −1.70183e18 + 2.23668e18i −0.638972 + 0.839792i
\(88\) 3.40431e18 + 5.56341e17i 1.14669 + 0.187394i
\(89\) 1.08426e18i 0.328042i 0.986457 + 0.164021i \(0.0524465\pi\)
−0.986457 + 0.164021i \(0.947553\pi\)
\(90\) −1.86225e17 + 5.86110e17i −0.0506681 + 0.159469i
\(91\) 2.03010e17i 0.0497306i
\(92\) −6.22585e17 1.41076e18i −0.137472 0.311508i
\(93\) 4.25981e16 5.59860e16i 0.00848793 0.0111556i
\(94\) 3.50601e18 5.37949e18i 0.631101 0.968337i
\(95\) −7.58468e17 −0.123470
\(96\) −2.62240e18 + 6.25819e18i −0.386475 + 0.922300i
\(97\) 8.25125e18 1.10202 0.551008 0.834500i \(-0.314243\pi\)
0.551008 + 0.834500i \(0.314243\pi\)
\(98\) −4.48707e18 + 6.88478e18i −0.543644 + 0.834147i
\(99\) 2.81645e18 + 1.01784e19i 0.309861 + 1.11982i
\(100\) −3.92440e18 8.89258e18i −0.392440 0.889258i
\(101\) 1.95339e17i 0.0177720i 0.999961 + 0.00888600i \(0.00282854\pi\)
−0.999961 + 0.00888600i \(0.997171\pi\)
\(102\) 3.22111e18 + 9.02609e18i 0.266873 + 0.747822i
\(103\) 6.24310e18i 0.471462i −0.971818 0.235731i \(-0.924252\pi\)
0.971818 0.235731i \(-0.0757484\pi\)
\(104\) −1.08205e19 1.76831e18i −0.745468 0.121826i
\(105\) −1.39363e17 1.06037e17i −0.00876698 0.00667054i
\(106\) −2.31692e19 1.51002e19i −1.33200 0.868116i
\(107\) 9.57966e18 0.503737 0.251869 0.967761i \(-0.418955\pi\)
0.251869 + 0.967761i \(0.418955\pi\)
\(108\) −2.07614e19 + 7.29777e17i −0.999383 + 0.0351289i
\(109\) 9.97969e18 0.440114 0.220057 0.975487i \(-0.429376\pi\)
0.220057 + 0.975487i \(0.429376\pi\)
\(110\) 4.02797e18 + 2.62518e18i 0.162876 + 0.106152i
\(111\) 3.85429e19 + 2.93261e19i 1.43013 + 1.08814i
\(112\) −1.42738e18 1.30224e18i −0.0486370 0.0443730i
\(113\) 3.76317e19i 1.17844i −0.807971 0.589222i \(-0.799434\pi\)
0.807971 0.589222i \(-0.200566\pi\)
\(114\) −8.61143e18 2.41307e19i −0.248016 0.694981i
\(115\) 2.14931e18i 0.0569729i
\(116\) −3.95424e19 + 1.74505e19i −0.965412 + 0.426047i
\(117\) −8.95196e18 3.23517e19i −0.201443 0.728001i
\(118\) 4.79897e19 7.36334e19i 0.996021 1.52826i
\(119\) −2.72895e18 −0.0522756
\(120\) −6.86574e18 + 6.50447e18i −0.121469 + 0.115077i
\(121\) 2.14059e19 0.350003
\(122\) 3.98565e19 6.11542e19i 0.602672 0.924715i
\(123\) −2.42293e19 + 3.18443e19i −0.339034 + 0.445587i
\(124\) 9.89779e17 4.36801e17i 0.0128243 0.00565949i
\(125\) 2.74861e19i 0.329965i
\(126\) 1.79129e18 5.63776e18i 0.0199363 0.0627461i
\(127\) 3.06110e19i 0.316040i 0.987436 + 0.158020i \(0.0505110\pi\)
−0.987436 + 0.158020i \(0.949489\pi\)
\(128\) −8.18427e19 + 6.47364e19i −0.784306 + 0.620374i
\(129\) −6.52030e19 + 8.56953e19i −0.580317 + 0.762702i
\(130\) −1.28027e19 8.34403e18i −0.105887 0.0690103i
\(131\) 1.73495e19 0.133416 0.0667082 0.997773i \(-0.478750\pi\)
0.0667082 + 0.997773i \(0.478750\pi\)
\(132\) −3.77877e19 + 1.57956e20i −0.270332 + 1.13001i
\(133\) 7.29566e18 0.0485819
\(134\) 2.39426e20 + 1.56043e20i 1.48483 + 0.967718i
\(135\) −2.68849e19 1.07528e19i −0.155359 0.0621370i
\(136\) −2.37704e19 + 1.45454e20i −0.128061 + 0.783619i
\(137\) 2.59942e20i 1.30627i 0.757243 + 0.653133i \(0.226546\pi\)
−0.757243 + 0.653133i \(0.773454\pi\)
\(138\) 6.83801e19 2.44026e19i 0.320685 0.114442i
\(139\) 2.91062e20i 1.27452i −0.770650 0.637258i \(-0.780068\pi\)
0.770650 0.637258i \(-0.219932\pi\)
\(140\) −1.08731e18 2.46381e18i −0.00444771 0.0100784i
\(141\) 2.40602e20 + 1.83067e20i 0.919850 + 0.699886i
\(142\) 2.30092e19 3.53044e19i 0.0822549 0.126209i
\(143\) −2.62429e20 −0.877647
\(144\) −2.84891e20 1.44584e20i −0.891734 0.452559i
\(145\) −6.02432e19 −0.176568
\(146\) 1.54500e20 2.37059e20i 0.424206 0.650885i
\(147\) −3.07927e20 2.34292e20i −0.792379 0.602897i
\(148\) 3.00710e20 + 6.81402e20i 0.725541 + 1.64406i
\(149\) 5.56983e20i 1.26059i −0.776357 0.630293i \(-0.782935\pi\)
0.776357 0.630293i \(-0.217065\pi\)
\(150\) 4.31027e20 1.53819e20i 0.915456 0.326696i
\(151\) 2.65785e19i 0.0529968i −0.999649 0.0264984i \(-0.991564\pi\)
0.999649 0.0264984i \(-0.00843569\pi\)
\(152\) 6.35485e19 3.88861e20i 0.119012 0.728249i
\(153\) −4.34887e20 + 1.20336e20i −0.765258 + 0.211752i
\(154\) −3.87449e19 2.52515e19i −0.0640866 0.0417676i
\(155\) 1.50794e18 0.00234548
\(156\) 1.20107e20 5.02055e20i 0.175745 0.734628i
\(157\) −9.61315e20 −1.32379 −0.661895 0.749596i \(-0.730248\pi\)
−0.661895 + 0.749596i \(0.730248\pi\)
\(158\) 1.00929e21 + 6.57790e20i 1.30850 + 0.852796i
\(159\) 7.88459e20 1.03626e21i 0.962734 1.26531i
\(160\) −1.40793e20 + 3.64929e19i −0.161972 + 0.0419825i
\(161\) 2.06740e19i 0.0224171i
\(162\) 3.68568e19 9.77426e20i 0.0376812 0.999290i
\(163\) 1.32096e21i 1.27382i 0.770938 + 0.636910i \(0.219788\pi\)
−0.770938 + 0.636910i \(0.780212\pi\)
\(164\) −5.62976e20 + 2.48448e20i −0.512240 + 0.226057i
\(165\) −1.37074e20 + 1.80154e20i −0.117722 + 0.154720i
\(166\) −6.97785e19 + 1.07065e20i −0.0565841 + 0.0868204i
\(167\) −1.48814e21 −1.13982 −0.569911 0.821706i \(-0.693023\pi\)
−0.569911 + 0.821706i \(0.693023\pi\)
\(168\) 6.60412e19 6.25661e19i 0.0477944 0.0452794i
\(169\) −6.27800e20 −0.429435
\(170\) −1.12164e20 + 1.72100e20i −0.0725420 + 0.111306i
\(171\) 1.16264e21 3.21711e20i 0.711185 0.196790i
\(172\) −1.51501e21 + 6.68592e20i −0.876790 + 0.386938i
\(173\) 2.38352e21i 1.30551i −0.757569 0.652755i \(-0.773613\pi\)
0.757569 0.652755i \(-0.226387\pi\)
\(174\) −6.83984e20 1.91664e21i −0.354673 0.993853i
\(175\) 1.30317e20i 0.0639939i
\(176\) −1.68340e21 + 1.84516e21i −0.783097 + 0.858348i
\(177\) 3.29331e21 + 2.50578e21i 1.45173 + 1.10458i
\(178\) −6.57732e20 4.28668e20i −0.274827 0.179115i
\(179\) 1.31050e20 0.0519197 0.0259598 0.999663i \(-0.491736\pi\)
0.0259598 + 0.999663i \(0.491736\pi\)
\(180\) −2.81919e20 3.44688e20i −0.105934 0.129520i
\(181\) 4.96217e21 1.76899 0.884495 0.466549i \(-0.154503\pi\)
0.884495 + 0.466549i \(0.154503\pi\)
\(182\) 1.23149e20 + 8.02607e19i 0.0416632 + 0.0271534i
\(183\) 2.73517e21 + 2.08111e21i 0.878413 + 0.668358i
\(184\) 1.10193e21 + 1.80080e20i 0.336036 + 0.0549158i
\(185\) 1.03812e21i 0.300688i
\(186\) 1.71207e19 + 4.79750e19i 0.00471137 + 0.0132021i
\(187\) 3.52770e21i 0.922563i
\(188\) 1.87717e21 + 4.25361e21i 0.466663 + 1.05745i
\(189\) 2.58604e20 + 1.03430e20i 0.0611292 + 0.0244490i
\(190\) 2.99864e20 4.60099e20i 0.0674162 0.103441i
\(191\) −2.82889e20 −0.0605061 −0.0302531 0.999542i \(-0.509631\pi\)
−0.0302531 + 0.999542i \(0.509631\pi\)
\(192\) −2.75954e21 4.06499e21i −0.561662 0.827366i
\(193\) −2.00625e21 −0.388678 −0.194339 0.980934i \(-0.562256\pi\)
−0.194339 + 0.980934i \(0.562256\pi\)
\(194\) −3.26217e21 + 5.00534e21i −0.601713 + 0.923245i
\(195\) 4.35684e20 5.72612e20i 0.0765319 0.100585i
\(196\) −2.40244e21 5.44385e21i −0.401994 0.910907i
\(197\) 1.12345e22i 1.79112i −0.444944 0.895558i \(-0.646776\pi\)
0.444944 0.895558i \(-0.353224\pi\)
\(198\) −7.28790e21 2.31559e21i −1.10735 0.351837i
\(199\) 5.85898e21i 0.848629i 0.905515 + 0.424314i \(0.139485\pi\)
−0.905515 + 0.424314i \(0.860515\pi\)
\(200\) 6.94591e21 + 1.13512e21i 0.959277 + 0.156767i
\(201\) −8.14779e21 + 1.07085e22i −1.07319 + 1.41048i
\(202\) −1.18496e20 7.72282e19i −0.0148890 0.00970371i
\(203\) 5.79476e20 0.0694741
\(204\) −6.74885e21 1.61453e21i −0.772224 0.184739i
\(205\) −8.57698e20 −0.0936856
\(206\) 3.78716e21 + 2.46824e21i 0.394980 + 0.257423i
\(207\) 9.11648e20 + 3.29463e21i 0.0908048 + 0.328162i
\(208\) 5.35060e21 5.86476e21i 0.509097 0.558018i
\(209\) 9.43106e21i 0.857375i
\(210\) 1.19422e20 4.26177e19i 0.0103753 0.00370260i
\(211\) 1.96627e22i 1.63290i −0.577416 0.816450i \(-0.695939\pi\)
0.577416 0.816450i \(-0.304061\pi\)
\(212\) 1.83201e22 8.08487e21i 1.45458 0.641922i
\(213\) 1.57901e21 + 1.20142e21i 0.119889 + 0.0912200i
\(214\) −3.78736e21 + 5.81117e21i −0.275046 + 0.422020i
\(215\) −2.30813e21 −0.160360
\(216\) 7.76543e21 1.28827e22i 0.516244 0.856442i
\(217\) −1.45047e19 −0.000922874
\(218\) −3.94551e21 + 6.05384e21i −0.240307 + 0.368718i
\(219\) 1.06026e22 + 8.06723e21i 0.618293 + 0.470441i
\(220\) −3.18495e21 + 1.40556e21i −0.177864 + 0.0784934i
\(221\) 1.12126e22i 0.599765i
\(222\) −3.30278e22 + 1.17865e22i −1.69249 + 0.603994i
\(223\) 3.62267e22i 1.77882i −0.457107 0.889412i \(-0.651114\pi\)
0.457107 0.889412i \(-0.348886\pi\)
\(224\) 1.35428e21 3.51023e20i 0.0637311 0.0165189i
\(225\) 5.74647e21 + 2.07673e22i 0.259219 + 0.936800i
\(226\) 2.28280e22 + 1.48779e22i 0.987275 + 0.643444i
\(227\) −4.56685e22 −1.89396 −0.946980 0.321292i \(-0.895883\pi\)
−0.946980 + 0.321292i \(0.895883\pi\)
\(228\) 1.80426e22 + 4.31633e21i 0.717659 + 0.171685i
\(229\) −3.55792e21 −0.135756 −0.0678780 0.997694i \(-0.521623\pi\)
−0.0678780 + 0.997694i \(0.521623\pi\)
\(230\) 1.30380e21 + 8.49737e20i 0.0477307 + 0.0311079i
\(231\) 1.31851e21 1.73289e21i 0.0463200 0.0608776i
\(232\) 5.04750e21 3.08862e22i 0.170192 1.04143i
\(233\) 1.58479e22i 0.512967i 0.966549 + 0.256483i \(0.0825639\pi\)
−0.966549 + 0.256483i \(0.917436\pi\)
\(234\) 2.31643e22 + 7.36000e21i 0.719893 + 0.228732i
\(235\) 6.48040e21i 0.193400i
\(236\) 2.56943e22 + 5.82226e22i 0.736500 + 1.66889i
\(237\) −3.43465e22 + 4.51411e22i −0.945744 + 1.24298i
\(238\) 1.07890e21 1.65542e21i 0.0285431 0.0437954i
\(239\) −3.32237e22 −0.844633 −0.422316 0.906449i \(-0.638783\pi\)
−0.422316 + 0.906449i \(0.638783\pi\)
\(240\) −1.23132e21 6.73644e21i −0.0300859 0.164598i
\(241\) −4.73070e21 −0.111113 −0.0555563 0.998456i \(-0.517693\pi\)
−0.0555563 + 0.998456i \(0.517693\pi\)
\(242\) −8.46291e21 + 1.29852e22i −0.191106 + 0.293225i
\(243\) 4.57722e22 + 5.07927e21i 0.993899 + 0.110292i
\(244\) 2.13397e22 + 4.83552e22i 0.445641 + 1.00981i
\(245\) 8.29375e21i 0.166599i
\(246\) −9.73806e21 2.72877e22i −0.188187 0.527331i
\(247\) 2.99762e22i 0.557386i
\(248\) −1.26343e20 + 7.73107e20i −0.00226079 + 0.0138340i
\(249\) −4.78857e21 3.64348e21i −0.0824731 0.0627513i
\(250\) 1.66735e22 + 1.08667e22i 0.276437 + 0.180164i
\(251\) −1.95642e22 −0.312292 −0.156146 0.987734i \(-0.549907\pi\)
−0.156146 + 0.987734i \(0.549907\pi\)
\(252\) 2.71176e21 + 3.31554e21i 0.0416818 + 0.0509623i
\(253\) 2.67252e22 0.395618
\(254\) −1.85691e22 1.21022e22i −0.264771 0.172561i
\(255\) −7.69732e21 5.85666e21i −0.105732 0.0804486i
\(256\) −6.91326e21 7.52409e22i −0.0914963 0.995805i
\(257\) 9.32892e22i 1.18978i −0.803807 0.594890i \(-0.797195\pi\)
0.803807 0.594890i \(-0.202805\pi\)
\(258\) −2.62059e22 7.34332e22i −0.322115 0.902621i
\(259\) 9.98562e21i 0.118312i
\(260\) 1.01232e22 4.46750e21i 0.115631 0.0510291i
\(261\) 9.23456e22 2.55527e22i 1.01702 0.281418i
\(262\) −6.85919e21 + 1.05245e22i −0.0728468 + 0.111773i
\(263\) 9.71980e22 0.995583 0.497792 0.867297i \(-0.334144\pi\)
0.497792 + 0.867297i \(0.334144\pi\)
\(264\) −8.08788e22 8.53710e22i −0.799093 0.843477i
\(265\) 2.79108e22 0.266033
\(266\) −2.88437e21 + 4.42567e21i −0.0265262 + 0.0407008i
\(267\) 2.23829e22 2.94175e22i 0.198637 0.261065i
\(268\) −1.89316e23 + 8.35475e22i −1.62147 + 0.715572i
\(269\) 3.96926e22i 0.328143i −0.986448 0.164072i \(-0.947537\pi\)
0.986448 0.164072i \(-0.0524628\pi\)
\(270\) 1.71519e22 1.20576e22i 0.136885 0.0962291i
\(271\) 1.06940e23i 0.824012i 0.911181 + 0.412006i \(0.135172\pi\)
−0.911181 + 0.412006i \(0.864828\pi\)
\(272\) −7.88368e22 7.19252e22i −0.586576 0.535151i
\(273\) −4.19082e21 + 5.50792e21i −0.0301130 + 0.0395770i
\(274\) −1.57685e23 1.02769e23i −1.09436 0.713236i
\(275\) 1.68459e23 1.12937
\(276\) −1.22314e22 + 5.11282e22i −0.0792208 + 0.331149i
\(277\) −1.31912e23 −0.825517 −0.412758 0.910841i \(-0.635435\pi\)
−0.412758 + 0.910841i \(0.635435\pi\)
\(278\) 1.76563e23 + 1.15073e23i 1.06776 + 0.695900i
\(279\) −2.31149e21 + 6.39605e20i −0.0135099 + 0.00373828i
\(280\) 1.92446e21 + 3.14500e20i 0.0108720 + 0.00177672i
\(281\) 8.12790e22i 0.443883i −0.975060 0.221941i \(-0.928761\pi\)
0.975060 0.221941i \(-0.0712393\pi\)
\(282\) −2.06174e23 + 7.35766e22i −1.08860 + 0.388484i
\(283\) 2.76487e23i 1.41157i 0.708424 + 0.705787i \(0.249407\pi\)
−0.708424 + 0.705787i \(0.750593\pi\)
\(284\) 1.23194e22 + 2.79155e22i 0.0608227 + 0.137823i
\(285\) 2.05783e22 + 1.56574e22i 0.0982613 + 0.0747641i
\(286\) 1.03753e23 1.59194e23i 0.479205 0.735273i
\(287\) 8.25015e21 0.0368624
\(288\) 2.00340e23 1.15658e23i 0.866041 0.499973i
\(289\) 8.83471e22 0.369541
\(290\) 2.38174e22 3.65445e22i 0.0964081 0.147925i
\(291\) −2.23867e23 1.70334e23i −0.877016 0.667295i
\(292\) 8.27214e22 + 1.87444e23i 0.313676 + 0.710781i
\(293\) 4.02228e23i 1.47649i 0.674534 + 0.738244i \(0.264345\pi\)
−0.674534 + 0.738244i \(0.735655\pi\)
\(294\) 2.63866e23 9.41649e22i 0.937742 0.334649i
\(295\) 8.87025e22i 0.305230i
\(296\) −5.32236e23 8.69793e22i −1.77351 0.289831i
\(297\) 1.33704e23 3.34296e23i 0.431477 1.07881i
\(298\) 3.37875e23 + 2.20206e23i 1.05609 + 0.688294i
\(299\) −8.49449e22 −0.257194
\(300\) −7.70992e22 + 3.22281e23i −0.226151 + 0.945328i
\(301\) 2.22018e22 0.0630966
\(302\) 1.61229e22 + 1.05079e22i 0.0443995 + 0.0289368i
\(303\) 4.03247e21 5.29981e21i 0.0107613 0.0141435i
\(304\) 2.10765e23 + 1.92287e23i 0.545129 + 0.497338i
\(305\) 7.36695e22i 0.184688i
\(306\) 9.89365e22 3.11385e23i 0.240438 0.756735i
\(307\) 3.36958e23i 0.793893i −0.917842 0.396946i \(-0.870070\pi\)
0.917842 0.396946i \(-0.129930\pi\)
\(308\) 3.06359e22 1.35200e22i 0.0699840 0.0308847i
\(309\) −1.28879e23 + 1.69384e23i −0.285481 + 0.375203i
\(310\) −5.96169e20 + 9.14738e20i −0.00128066 + 0.00196499i
\(311\) −3.65250e23 −0.760968 −0.380484 0.924788i \(-0.624243\pi\)
−0.380484 + 0.924788i \(0.624243\pi\)
\(312\) 2.57070e23 + 2.71348e23i 0.519497 + 0.548350i
\(313\) 5.33848e22 0.104652 0.0523259 0.998630i \(-0.483337\pi\)
0.0523259 + 0.998630i \(0.483337\pi\)
\(314\) 3.80060e23 5.83149e23i 0.722804 1.10904i
\(315\) 1.59214e21 + 5.75388e21i 0.00293786 + 0.0106172i
\(316\) −7.98052e23 + 3.52190e23i −1.42891 + 0.630593i
\(317\) 8.83781e23i 1.53561i 0.640682 + 0.767806i \(0.278652\pi\)
−0.640682 + 0.767806i \(0.721348\pi\)
\(318\) 3.16891e23 + 8.87982e23i 0.534383 + 1.49743i
\(319\) 7.49085e23i 1.22608i
\(320\) 3.35258e22 9.98348e22i 0.0532666 0.158620i
\(321\) −2.59909e23 1.97757e23i −0.400889 0.305024i
\(322\) −1.25412e22 8.17357e21i −0.0187806 0.0122400i
\(323\) 4.02954e23 0.585911
\(324\) 5.78351e23 + 4.08788e23i 0.816609 + 0.577192i
\(325\) −5.35441e23 −0.734209
\(326\) −8.01317e23 5.22248e23i −1.06718 0.695520i
\(327\) −2.70763e23 2.06015e23i −0.350255 0.266499i
\(328\) 7.18626e22 4.39735e23i 0.0903028 0.552573i
\(329\) 6.23347e22i 0.0760972i
\(330\) −5.50916e22 1.54376e23i −0.0653436 0.183104i
\(331\) 7.03929e23i 0.811265i −0.914036 0.405632i \(-0.867051\pi\)
0.914036 0.405632i \(-0.132949\pi\)
\(332\) −3.73603e22 8.46575e22i −0.0418407 0.0948098i
\(333\) −4.40328e23 1.59131e24i −0.479244 1.73195i
\(334\) 5.88343e23 9.02730e23i 0.622356 0.954918i
\(335\) −2.88425e23 −0.296556
\(336\) 1.18440e22 + 6.47974e22i 0.0118379 + 0.0647641i
\(337\) −6.78417e23 −0.659193 −0.329597 0.944122i \(-0.606913\pi\)
−0.329597 + 0.944122i \(0.606913\pi\)
\(338\) 2.48203e23 3.80834e23i 0.234476 0.359771i
\(339\) −7.76848e23 + 1.02100e24i −0.713574 + 0.937840i
\(340\) −6.00542e22 1.36081e23i −0.0536406 0.121548i
\(341\) 1.87502e22i 0.0162869i
\(342\) −2.64500e23 + 8.32467e23i −0.223449 + 0.703265i
\(343\) 1.59902e23i 0.131389i
\(344\) 1.93388e23 1.18336e24i 0.154569 0.945828i
\(345\) −4.43690e22 + 5.83135e22i −0.0344984 + 0.0453407i
\(346\) 1.44588e24 + 9.42334e23i 1.09373 + 0.712823i
\(347\) 1.77989e24 1.30998 0.654989 0.755638i \(-0.272673\pi\)
0.654989 + 0.755638i \(0.272673\pi\)
\(348\) 1.43308e24 + 3.42835e23i 1.02628 + 0.245518i
\(349\) 1.80906e24 1.26070 0.630349 0.776312i \(-0.282912\pi\)
0.630349 + 0.776312i \(0.282912\pi\)
\(350\) −7.90521e22 5.15212e22i −0.0536126 0.0349414i
\(351\) −4.24972e23 + 1.06255e24i −0.280507 + 0.701342i
\(352\) −4.53766e23 1.75067e24i −0.291525 1.12473i
\(353\) 9.95560e23i 0.622598i 0.950312 + 0.311299i \(0.100764\pi\)
−0.950312 + 0.311299i \(0.899236\pi\)
\(354\) −2.82207e24 + 1.00710e24i −1.71805 + 0.613116i
\(355\) 4.25294e22i 0.0252069i
\(356\) 5.20074e23 2.29515e23i 0.300117 0.132445i
\(357\) 7.40401e22 + 5.63349e22i 0.0416024 + 0.0316541i
\(358\) −5.18110e22 + 7.94968e22i −0.0283487 + 0.0434972i
\(359\) 1.38558e24 0.738302 0.369151 0.929369i \(-0.379648\pi\)
0.369151 + 0.929369i \(0.379648\pi\)
\(360\) 3.20551e23 3.47426e22i 0.166350 0.0180297i
\(361\) 9.01149e23 0.455489
\(362\) −1.96182e24 + 3.01013e24i −0.965888 + 1.48202i
\(363\) −5.80771e23 4.41891e23i −0.278543 0.211935i
\(364\) −9.73749e22 + 4.29727e22i −0.0454971 + 0.0200784i
\(365\) 2.85573e23i 0.129998i
\(366\) −2.34379e24 + 8.36422e23i −1.03956 + 0.370984i
\(367\) 2.69833e24i 1.16619i 0.812405 + 0.583093i \(0.198158\pi\)
−0.812405 + 0.583093i \(0.801842\pi\)
\(368\) −5.44893e23 + 5.97254e23i −0.229486 + 0.251539i
\(369\) 1.31475e24 3.63801e23i 0.539626 0.149318i
\(370\) −6.29740e23 4.10425e23i −0.251910 0.164179i
\(371\) −2.68472e23 −0.104676
\(372\) −3.58711e22 8.58144e21i −0.0136329 0.00326139i
\(373\) 1.83267e24 0.678968 0.339484 0.940612i \(-0.389748\pi\)
0.339484 + 0.940612i \(0.389748\pi\)
\(374\) −2.13996e24 1.39469e24i −0.772902 0.503729i
\(375\) −5.67407e23 + 7.45734e23i −0.199801 + 0.262595i
\(376\) −3.32245e24 5.42963e23i −1.14071 0.186417i
\(377\) 2.38093e24i 0.797085i
\(378\) −1.64983e23 + 1.15982e23i −0.0538600 + 0.0378632i
\(379\) 3.11181e23i 0.0990696i −0.998772 0.0495348i \(-0.984226\pi\)
0.998772 0.0495348i \(-0.0157739\pi\)
\(380\) 1.60551e23 + 3.63804e23i 0.0498504 + 0.112960i
\(381\) 6.31916e23 8.30517e23i 0.191369 0.251514i
\(382\) 1.11841e23 1.71605e23i 0.0330370 0.0506907i
\(383\) 2.30273e24 0.663521 0.331760 0.943364i \(-0.392357\pi\)
0.331760 + 0.943364i \(0.392357\pi\)
\(384\) 3.55689e24 6.68709e22i 0.999823 0.0187971i
\(385\) 4.66740e22 0.0127997
\(386\) 7.93178e23 1.21702e24i 0.212222 0.325626i
\(387\) 3.53809e24 9.79015e23i 0.923666 0.255585i
\(388\) −1.74661e24 3.95776e24i −0.444932 1.00820i
\(389\) 6.12097e24i 1.52160i −0.648989 0.760798i \(-0.724808\pi\)
0.648989 0.760798i \(-0.275192\pi\)
\(390\) 1.75106e23 + 4.90677e23i 0.0424804 + 0.119037i
\(391\) 1.14187e24i 0.270357i
\(392\) 4.25214e24 + 6.94895e23i 0.982630 + 0.160584i
\(393\) −4.70715e23 3.58153e23i −0.106177 0.0807866i
\(394\) 6.81502e24 + 4.44160e24i 1.50056 + 0.977970i
\(395\) −1.21584e24 −0.261338
\(396\) 4.28598e24 3.50548e24i 0.899384 0.735602i
\(397\) −7.03274e24 −1.44084 −0.720418 0.693540i \(-0.756050\pi\)
−0.720418 + 0.693540i \(0.756050\pi\)
\(398\) −3.55415e24 2.31637e24i −0.710962 0.463361i
\(399\) −1.97941e23 1.50608e23i −0.0386628 0.0294174i
\(400\) −3.43467e24 + 3.76473e24i −0.655112 + 0.718065i
\(401\) 1.81392e24i 0.337868i −0.985627 0.168934i \(-0.945968\pi\)
0.985627 0.168934i \(-0.0540324\pi\)
\(402\) −3.27469e24 9.17624e24i −0.595694 1.66923i
\(403\) 5.95967e22i 0.0105882i
\(404\) 9.36957e22 4.13490e22i 0.0162591 0.00717533i
\(405\) 5.07449e23 + 8.46734e23i 0.0860140 + 0.143524i
\(406\) −2.29098e23 + 3.51519e23i −0.0379336 + 0.0582039i
\(407\) −1.29084e25 −2.08797
\(408\) 3.64759e24 3.45565e24i 0.576413 0.546083i
\(409\) −4.93635e24 −0.762139 −0.381069 0.924546i \(-0.624444\pi\)
−0.381069 + 0.924546i \(0.624444\pi\)
\(410\) 3.39095e23 5.20294e23i 0.0511534 0.0784877i
\(411\) 5.36610e24 7.05259e24i 0.790973 1.03956i
\(412\) −2.99454e24 + 1.32153e24i −0.431327 + 0.190350i
\(413\) 8.53225e23i 0.120099i
\(414\) −2.35900e24 7.49526e23i −0.324507 0.103106i
\(415\) 1.28976e23i 0.0173402i
\(416\) 1.44227e24 + 5.56442e24i 0.189523 + 0.731195i
\(417\) −6.00853e24 + 7.89692e24i −0.771748 + 1.01430i
\(418\) 5.72103e24 + 3.72861e24i 0.718290 + 0.468136i
\(419\) 1.64633e24 0.202061 0.101031 0.994883i \(-0.467786\pi\)
0.101031 + 0.994883i \(0.467786\pi\)
\(420\) −2.13614e22 + 8.92923e22i −0.00256307 + 0.0107139i
\(421\) 2.10940e24 0.247445 0.123723 0.992317i \(-0.460517\pi\)
0.123723 + 0.992317i \(0.460517\pi\)
\(422\) 1.19277e25 + 7.77373e24i 1.36801 + 0.891581i
\(423\) −2.74872e24 9.93369e24i −0.308246 1.11398i
\(424\) −2.33852e24 + 1.43096e25i −0.256428 + 1.56911i
\(425\) 7.19765e24i 0.771784i
\(426\) −1.35307e24 + 4.82867e23i −0.141883 + 0.0506333i
\(427\) 7.08622e23i 0.0726692i
\(428\) −2.02780e24 4.59495e24i −0.203381 0.460855i
\(429\) 7.12006e24 + 5.41744e24i 0.698456 + 0.531435i
\(430\) 9.12530e23 1.40015e24i 0.0875582 0.134346i
\(431\) −2.24329e24 −0.210548 −0.105274 0.994443i \(-0.533572\pi\)
−0.105274 + 0.994443i \(0.533572\pi\)
\(432\) 4.74478e24 + 9.80388e24i 0.435633 + 0.900124i
\(433\) 8.24231e24 0.740311 0.370155 0.928970i \(-0.379304\pi\)
0.370155 + 0.928970i \(0.379304\pi\)
\(434\) 5.73451e21 8.79881e21i 0.000503900 0.000773164i
\(435\) 1.63448e24 + 1.24363e24i 0.140518 + 0.106916i
\(436\) −2.11248e24 4.78682e24i −0.177693 0.402648i
\(437\) 3.05271e24i 0.251253i
\(438\) −9.08551e24 + 3.24231e24i −0.731720 + 0.261127i
\(439\) 2.08198e24i 0.164083i −0.996629 0.0820416i \(-0.973856\pi\)
0.996629 0.0820416i \(-0.0261441\pi\)
\(440\) 4.06552e23 2.48774e24i 0.0313556 0.191869i
\(441\) 3.51787e24 + 1.27133e25i 0.265530 + 0.959606i
\(442\) 6.80176e24 + 4.43296e24i 0.502470 + 0.327478i
\(443\) −8.96640e24 −0.648310 −0.324155 0.946004i \(-0.605080\pi\)
−0.324155 + 0.946004i \(0.605080\pi\)
\(444\) 5.90779e24 2.46950e25i 0.418106 1.74772i
\(445\) 7.92337e23 0.0548895
\(446\) 2.19757e25 + 1.43224e25i 1.49026 + 0.971258i
\(447\) −1.14980e25 + 1.51117e25i −0.763313 + 1.00321i
\(448\) −3.22483e23 + 9.60305e23i −0.0209588 + 0.0624120i
\(449\) 2.29238e25i 1.45863i −0.684177 0.729316i \(-0.739838\pi\)
0.684177 0.729316i \(-0.260162\pi\)
\(450\) −1.48697e25 4.72455e24i −0.926367 0.294335i
\(451\) 1.06649e25i 0.650550i
\(452\) −1.80503e25 + 7.96581e24i −1.07813 + 0.475790i
\(453\) −5.48672e23 + 7.21111e23i −0.0320907 + 0.0421763i
\(454\) 1.80552e25 2.77032e25i 1.03412 1.58672i
\(455\) −1.48351e23 −0.00832115
\(456\) −9.75158e24 + 9.23846e24i −0.535684 + 0.507497i
\(457\) −1.71001e25 −0.920017 −0.460008 0.887915i \(-0.652154\pi\)
−0.460008 + 0.887915i \(0.652154\pi\)
\(458\) 1.40664e24 2.15829e24i 0.0741243 0.113733i
\(459\) 1.42832e25 + 5.71267e24i 0.737235 + 0.294862i
\(460\) −1.03093e24 + 4.54961e23i −0.0521230 + 0.0230025i
\(461\) 1.15583e24i 0.0572445i −0.999590 0.0286223i \(-0.990888\pi\)
0.999590 0.0286223i \(-0.00911199\pi\)
\(462\) 5.29923e23 + 1.48493e24i 0.0257107 + 0.0720457i
\(463\) 2.05103e25i 0.974884i 0.873155 + 0.487442i \(0.162070\pi\)
−0.873155 + 0.487442i \(0.837930\pi\)
\(464\) 1.67405e25 + 1.52729e25i 0.779558 + 0.711214i
\(465\) −4.09123e22 3.11290e22i −0.00186660 0.00142024i
\(466\) −9.61357e24 6.26552e24i −0.429752 0.280086i
\(467\) 3.47342e25 1.52141 0.760705 0.649098i \(-0.224853\pi\)
0.760705 + 0.649098i \(0.224853\pi\)
\(468\) −1.36228e25 + 1.11420e25i −0.584696 + 0.478221i
\(469\) 2.77434e24 0.116686
\(470\) −3.93112e24 2.56206e24i −0.162027 0.105599i
\(471\) 2.60818e25 + 1.98448e25i 1.05351 + 0.801584i
\(472\) −4.54771e25 7.43197e24i −1.80030 0.294209i
\(473\) 2.87001e25i 1.11353i
\(474\) −1.38043e25 3.86819e25i −0.524952 1.47100i
\(475\) 1.92424e25i 0.717250i
\(476\) 5.77658e23 + 1.30896e24i 0.0211060 + 0.0478255i
\(477\) −4.27839e25 + 1.18386e25i −1.53234 + 0.424010i
\(478\) 1.31351e25 2.01540e25i 0.461179 0.707614i
\(479\) −3.81112e25 −1.31179 −0.655897 0.754851i \(-0.727709\pi\)
−0.655897 + 0.754851i \(0.727709\pi\)
\(480\) 4.57324e24 + 1.91634e24i 0.154323 + 0.0646669i
\(481\) 4.10286e25 1.35740
\(482\) 1.87030e24 2.86972e24i 0.0606687 0.0930877i
\(483\) 4.26783e23 5.60915e23i 0.0135741 0.0178402i
\(484\) −4.53115e24 1.02675e25i −0.141312 0.320208i
\(485\) 6.02968e24i 0.184394i
\(486\) −2.11774e25 + 2.57580e25i −0.635080 + 0.772446i
\(487\) 3.06094e25i 0.900181i 0.892983 + 0.450090i \(0.148608\pi\)
−0.892983 + 0.450090i \(0.851392\pi\)
\(488\) −3.77698e25 6.17242e24i −1.08932 0.178019i
\(489\) 2.72692e25 3.58395e25i 0.771327 1.01374i
\(490\) 5.03112e24 + 3.27897e24i 0.139573 + 0.0909651i
\(491\) 4.49189e25 1.22224 0.611118 0.791540i \(-0.290720\pi\)
0.611118 + 0.791540i \(0.290720\pi\)
\(492\) 2.04031e25 + 4.88104e24i 0.544538 + 0.130270i
\(493\) 3.20056e25 0.837877
\(494\) −1.81840e25 1.18512e25i −0.466965 0.304339i
\(495\) 7.43800e24 2.05815e24i 0.187373 0.0518474i
\(496\) −4.19029e23 3.82293e23i −0.0103554 0.00944757i
\(497\) 4.09088e23i 0.00991816i
\(498\) 4.10338e24 1.46436e24i 0.0976029 0.0348312i
\(499\) 4.70048e25i 1.09695i −0.836167 0.548475i \(-0.815209\pi\)
0.836167 0.548475i \(-0.184791\pi\)
\(500\) −1.31839e25 + 5.81819e24i −0.301875 + 0.133221i
\(501\) 4.03753e25 + 3.07203e25i 0.907104 + 0.690188i
\(502\) 7.73478e24 1.18679e25i 0.170515 0.261631i
\(503\) −6.29782e25 −1.36237 −0.681184 0.732112i \(-0.738535\pi\)
−0.681184 + 0.732112i \(0.738535\pi\)
\(504\) −3.08337e24 + 3.34187e23i −0.0654538 + 0.00709413i
\(505\) 1.42746e23 0.00297369
\(506\) −1.05659e25 + 1.62119e25i −0.216012 + 0.331440i
\(507\) 1.70331e25 + 1.29600e25i 0.341757 + 0.260033i
\(508\) 1.46828e25 6.47967e24i 0.289136 0.127599i
\(509\) 4.90714e25i 0.948439i 0.880407 + 0.474219i \(0.157270\pi\)
−0.880407 + 0.474219i \(0.842730\pi\)
\(510\) 6.59591e24 2.35386e24i 0.125129 0.0446544i
\(511\) 2.74691e24i 0.0511501i
\(512\) 4.83755e25 + 2.55531e25i 0.884222 + 0.467067i
\(513\) −3.81853e25 1.52724e25i −0.685142 0.274027i
\(514\) 5.65907e25 + 3.68823e25i 0.996772 + 0.649633i
\(515\) −4.56221e24 −0.0788872
\(516\) 5.49064e25 + 1.31352e25i 0.932074 + 0.222980i
\(517\) −8.05796e25 −1.34297
\(518\) 6.05744e24 + 3.94786e24i 0.0991188 + 0.0645995i
\(519\) −4.92040e25 + 6.46680e25i −0.790515 + 1.03896i
\(520\) −1.29221e24 + 7.90717e24i −0.0203845 + 0.124735i
\(521\) 6.46908e25i 1.00204i 0.865436 + 0.501019i \(0.167041\pi\)
−0.865436 + 0.501019i \(0.832959\pi\)
\(522\) −2.10086e25 + 6.61207e25i −0.319541 + 1.00570i
\(523\) 1.88568e25i 0.281646i 0.990035 + 0.140823i \(0.0449748\pi\)
−0.990035 + 0.140823i \(0.955025\pi\)
\(524\) −3.67250e24 8.32179e24i −0.0538660 0.122059i
\(525\) 2.69018e24 3.53567e24i 0.0387497 0.0509281i
\(526\) −3.84276e25 + 5.89618e25i −0.543600 + 0.834078i
\(527\) −8.01126e23 −0.0111301
\(528\) 8.37632e25 1.53106e25i 1.14296 0.208915i
\(529\) −6.59649e25 −0.884064
\(530\) −1.10346e25 + 1.69311e25i −0.145257 + 0.222877i
\(531\) −3.76240e25 1.35970e26i −0.486482 1.75811i
\(532\) −1.54433e24 3.49941e24i −0.0196146 0.0444462i
\(533\) 3.38980e25i 0.422927i
\(534\) 8.99596e24 + 2.52082e25i 0.110257 + 0.308958i
\(535\) 7.00043e24i 0.0842877i
\(536\) 2.41658e25 1.47873e26i 0.285848 1.74914i
\(537\) −3.55555e24 2.70531e24i −0.0413192 0.0314385i
\(538\) 2.40782e25 + 1.56927e25i 0.274911 + 0.179170i
\(539\) 1.03127e26 1.15686
\(540\) 5.33292e23 + 1.51716e25i 0.00587793 + 0.167221i
\(541\) 3.92152e25 0.424698 0.212349 0.977194i \(-0.431889\pi\)
0.212349 + 0.977194i \(0.431889\pi\)
\(542\) −6.48718e25 4.22794e25i −0.690339 0.449920i
\(543\) −1.34630e26 1.02436e26i −1.40781 1.07116i
\(544\) 7.47995e25 1.93877e25i 0.768615 0.199222i
\(545\) 7.29276e24i 0.0736420i
\(546\) −1.68434e24 4.71980e24i −0.0167147 0.0468375i
\(547\) 2.04234e25i 0.199181i −0.995028 0.0995906i \(-0.968247\pi\)
0.995028 0.0995906i \(-0.0317533\pi\)
\(548\) 1.24683e26 5.50241e25i 1.19507 0.527397i
\(549\) −3.12476e25 1.12927e26i −0.294360 1.06380i
\(550\) −6.66012e25 + 1.02190e26i −0.616647 + 0.946158i
\(551\) −8.55649e25 −0.778673
\(552\) −2.61794e25 2.76335e25i −0.234174 0.247181i
\(553\) 1.16951e25 0.102829
\(554\) 5.21519e25 8.00198e25i 0.450741 0.691600i
\(555\) 2.14304e25 2.81656e25i 0.182073 0.239296i
\(556\) −1.39610e26 + 6.16115e25i −1.16602 + 0.514578i
\(557\) 1.45829e25i 0.119735i 0.998206 + 0.0598675i \(0.0190678\pi\)
−0.998206 + 0.0598675i \(0.980932\pi\)
\(558\) 5.25861e23 1.65505e24i 0.00424469 0.0133594i
\(559\) 9.12221e25i 0.723915i
\(560\) −9.51624e23 + 1.04307e24i −0.00742470 + 0.00813817i
\(561\) 7.28237e25 9.57111e25i 0.558632 0.734202i
\(562\) 4.93051e25 + 3.21340e25i 0.371875 + 0.242365i
\(563\) 2.18815e26 1.62273 0.811367 0.584537i \(-0.198724\pi\)
0.811367 + 0.584537i \(0.198724\pi\)
\(564\) 3.68790e25 1.54157e26i 0.268923 1.12412i
\(565\) −2.74998e25 −0.197183
\(566\) −1.67722e26 1.09310e26i −1.18259 0.770735i
\(567\) −4.88112e24 8.14469e24i −0.0338439 0.0564723i
\(568\) −2.18045e25 3.56334e24i −0.148675 0.0242968i
\(569\) 7.86187e25i 0.527181i 0.964635 + 0.263590i \(0.0849067\pi\)
−0.964635 + 0.263590i \(0.915093\pi\)
\(570\) −1.76337e25 + 6.29289e24i −0.116287 + 0.0414991i
\(571\) 1.60868e26i 1.04334i −0.853147 0.521670i \(-0.825309\pi\)
0.853147 0.521670i \(-0.174691\pi\)
\(572\) 5.55505e25 + 1.25876e26i 0.354344 + 0.802935i
\(573\) 7.67517e24 + 5.83981e24i 0.0481525 + 0.0366378i
\(574\) −3.26173e24 + 5.00468e24i −0.0201273 + 0.0308825i
\(575\) 5.45281e25 0.330960
\(576\) −9.04527e24 + 1.67255e26i −0.0540018 + 0.998541i
\(577\) −6.45604e25 −0.379137 −0.189568 0.981868i \(-0.560709\pi\)
−0.189568 + 0.981868i \(0.560709\pi\)
\(578\) −3.49284e25 + 5.35928e25i −0.201774 + 0.309593i
\(579\) 5.44322e25 + 4.14158e25i 0.309321 + 0.235353i
\(580\) 1.27522e25 + 2.88960e25i 0.0712882 + 0.161537i
\(581\) 1.24062e24i 0.00682282i
\(582\) 1.91834e26 6.84593e25i 1.03791 0.370394i
\(583\) 3.47052e26i 1.84733i
\(584\) −1.46411e26 2.39268e25i −0.766747 0.125304i
\(585\) −2.36414e25 + 6.54174e24i −0.121812 + 0.0337064i
\(586\) −2.43998e26 1.59023e26i −1.23697 0.806179i
\(587\) −5.64798e25 −0.281729 −0.140864 0.990029i \(-0.544988\pi\)
−0.140864 + 0.990029i \(0.544988\pi\)
\(588\) −4.71985e25 + 1.97294e26i −0.231656 + 0.968341i
\(589\) 2.14176e24 0.0103437
\(590\) −5.38084e25 3.50689e25i −0.255715 0.166659i
\(591\) −2.31918e26 + 3.04807e26i −1.08456 + 1.42542i
\(592\) 2.63185e26 2.88475e26i 1.21117 1.32756i
\(593\) 1.43550e26i 0.650106i 0.945696 + 0.325053i \(0.105382\pi\)
−0.945696 + 0.325053i \(0.894618\pi\)
\(594\) 1.49929e26 + 2.13272e26i 0.668212 + 0.950524i
\(595\) 1.99421e24i 0.00874700i
\(596\) −2.67161e26 + 1.17901e26i −1.15328 + 0.508954i
\(597\) 1.20949e26 1.58962e26i 0.513863 0.675363i
\(598\) 3.35833e25 5.15290e25i 0.140431 0.215472i
\(599\) −1.76276e26 −0.725501 −0.362750 0.931886i \(-0.618162\pi\)
−0.362750 + 0.931886i \(0.618162\pi\)
\(600\) −1.65019e26 1.74185e26i −0.668494 0.705624i
\(601\) 2.14668e26 0.855972 0.427986 0.903785i \(-0.359223\pi\)
0.427986 + 0.903785i \(0.359223\pi\)
\(602\) −8.77757e24 + 1.34680e25i −0.0344515 + 0.0528610i
\(603\) 4.42121e26 1.22338e26i 1.70815 0.472658i
\(604\) −1.27486e25 + 5.62608e24i −0.0484853 + 0.0213971i
\(605\) 1.56426e25i 0.0585642i
\(606\) 1.62070e24 + 4.54147e24i 0.00597327 + 0.0167381i
\(607\) 1.97225e26i 0.715600i 0.933798 + 0.357800i \(0.116473\pi\)
−0.933798 + 0.357800i \(0.883527\pi\)
\(608\) −1.99971e26 + 5.18318e25i −0.714305 + 0.185145i
\(609\) −1.57220e25 1.19624e25i −0.0552895 0.0420681i
\(610\) −4.46891e25 2.91255e25i −0.154728 0.100842i
\(611\) 2.56119e26 0.873072
\(612\) 1.49776e26 + 1.83124e26i 0.502694 + 0.614620i
\(613\) 2.42812e26 0.802407 0.401204 0.915989i \(-0.368592\pi\)
0.401204 + 0.915989i \(0.368592\pi\)
\(614\) 2.04404e26 + 1.33218e26i 0.665106 + 0.433474i
\(615\) 2.32705e25 + 1.77058e25i 0.0745577 + 0.0567287i
\(616\) −3.91060e24 + 2.39294e25i −0.0123375 + 0.0754945i
\(617\) 1.46373e26i 0.454728i 0.973810 + 0.227364i \(0.0730107\pi\)
−0.973810 + 0.227364i \(0.926989\pi\)
\(618\) −5.17980e25 1.45147e26i −0.158461 0.444034i
\(619\) 2.35859e26i 0.710546i −0.934763 0.355273i \(-0.884388\pi\)
0.934763 0.355273i \(-0.115612\pi\)
\(620\) −3.19197e23 7.23291e23i −0.000946972 0.00214581i
\(621\) 4.32782e25 1.08207e26i 0.126444 0.316145i
\(622\) 1.44403e26 2.21566e26i 0.415497 0.637522i
\(623\) −7.62144e24 −0.0215974
\(624\) −2.66238e26 + 4.86641e25i −0.743047 + 0.135817i
\(625\) 3.33527e26 0.916791
\(626\) −2.11059e25 + 3.23841e25i −0.0571410 + 0.0876749i
\(627\) −1.94689e26 + 2.55877e26i −0.519159 + 0.682323i
\(628\) 2.03489e26 + 4.61101e26i 0.534472 + 1.21110i
\(629\) 5.51526e26i 1.42687i
\(630\) −4.11985e24 1.30900e24i −0.0104990 0.00333584i
\(631\) 4.57885e26i 1.14942i −0.818358 0.574709i \(-0.805115\pi\)
0.818358 0.574709i \(-0.194885\pi\)
\(632\) 1.01869e26 6.23351e26i 0.251902 1.54142i
\(633\) −4.05905e26 + 5.33475e26i −0.988757 + 1.29951i
\(634\) −5.36116e26 3.49407e26i −1.28650 0.838461i
\(635\) 2.23693e25 0.0528812
\(636\) −6.63948e26 1.58836e26i −1.54629 0.369919i
\(637\) −3.27786e26 −0.752083
\(638\) 4.54407e26 + 2.96154e26i 1.02718 + 0.669454i
\(639\) −1.80392e25 6.51925e25i −0.0401754 0.145191i
\(640\) 4.73068e25 + 5.98074e25i 0.103804 + 0.131234i
\(641\) 1.60151e26i 0.346240i −0.984901 0.173120i \(-0.944615\pi\)
0.984901 0.173120i \(-0.0553849\pi\)
\(642\) 2.22719e26 7.94809e25i 0.474432 0.169309i
\(643\) 4.12025e26i 0.864808i −0.901680 0.432404i \(-0.857665\pi\)
0.901680 0.432404i \(-0.142335\pi\)
\(644\) 9.91644e24 4.37624e24i 0.0205088 0.00905077i
\(645\) 6.26227e25 + 4.76478e25i 0.127619 + 0.0971013i
\(646\) −1.59310e26 + 2.44438e26i −0.319914 + 0.490863i
\(647\) −5.68812e26 −1.12558 −0.562792 0.826599i \(-0.690273\pi\)
−0.562792 + 0.826599i \(0.690273\pi\)
\(648\) −4.76631e26 + 1.89221e26i −0.929436 + 0.368983i
\(649\) −1.10296e27 −2.11951
\(650\) 2.11689e26 3.24807e26i 0.400886 0.615104i
\(651\) 3.93533e23 + 2.99428e23i 0.000734450 + 0.000558821i
\(652\) 6.33608e26 2.79619e26i 1.16538 0.514297i
\(653\) 1.62140e26i 0.293910i 0.989143 + 0.146955i \(0.0469473\pi\)
−0.989143 + 0.146955i \(0.953053\pi\)
\(654\) 2.32019e26 8.27999e25i 0.414510 0.147925i
\(655\) 1.26783e25i 0.0223238i
\(656\) 2.38339e26 + 2.17444e26i 0.413627 + 0.377365i
\(657\) −1.21128e26 4.37750e26i −0.207193 0.748781i
\(658\) 3.78132e25 + 2.46443e25i 0.0637525 + 0.0415499i
\(659\) 6.93628e26 1.15270 0.576349 0.817204i \(-0.304477\pi\)
0.576349 + 0.817204i \(0.304477\pi\)
\(660\) 1.15428e26 + 2.76137e25i 0.189079 + 0.0452332i
\(661\) 2.43161e26 0.392626 0.196313 0.980541i \(-0.437103\pi\)
0.196313 + 0.980541i \(0.437103\pi\)
\(662\) 4.27014e26 + 2.78301e26i 0.679660 + 0.442960i
\(663\) −2.31467e26 + 3.04214e26i −0.363171 + 0.477310i
\(664\) 6.61251e25 + 1.08063e25i 0.102275 + 0.0167140i
\(665\) 5.33138e24i 0.00812894i
\(666\) 1.13940e27 + 3.62023e26i 1.71266 + 0.544165i
\(667\) 2.42469e26i 0.359303i
\(668\) 3.15006e26 + 7.13796e26i 0.460196 + 1.04279i
\(669\) −7.47844e26 + 9.82880e26i −1.07712 + 1.41564i
\(670\) 1.14030e26 1.74963e26i 0.161923 0.248448i
\(671\) −9.16032e26 −1.28247
\(672\) −4.39897e25 1.84332e25i −0.0607216 0.0254444i
\(673\) 3.69858e26 0.503375 0.251688 0.967809i \(-0.419014\pi\)
0.251688 + 0.967809i \(0.419014\pi\)
\(674\) 2.68215e26 4.11539e26i 0.359927 0.552257i
\(675\) 2.72800e26 6.82073e26i 0.360959 0.902495i
\(676\) 1.32891e26 + 3.01128e26i 0.173382 + 0.392878i
\(677\) 3.74701e26i 0.482051i −0.970519 0.241026i \(-0.922516\pi\)
0.970519 0.241026i \(-0.0774838\pi\)
\(678\) −3.12225e26 8.74905e26i −0.396082 1.10989i
\(679\) 5.79992e25i 0.0725536i
\(680\) 1.06292e26 + 1.73705e25i 0.131119 + 0.0214277i
\(681\) 1.23905e27 + 9.42754e26i 1.50727 + 1.14683i
\(682\) −1.13742e25 7.41297e24i −0.0136448 0.00889284i
\(683\) −8.22491e26 −0.973049 −0.486524 0.873667i \(-0.661736\pi\)
−0.486524 + 0.873667i \(0.661736\pi\)
\(684\) −4.00416e26 4.89569e26i −0.467174 0.571191i
\(685\) 1.89956e26 0.218571
\(686\) −9.69989e25 6.32178e25i −0.110075 0.0717398i
\(687\) 9.65312e25 + 7.34477e25i 0.108039 + 0.0822033i
\(688\) 6.41389e26 + 5.85159e26i 0.707997 + 0.645927i
\(689\) 1.10309e27i 1.20096i
\(690\) −1.78324e25 4.99695e25i −0.0191489 0.0536585i
\(691\) 3.29298e25i 0.0348777i 0.999848 + 0.0174388i \(0.00555123\pi\)
−0.999848 + 0.0174388i \(0.994449\pi\)
\(692\) −1.14327e27 + 5.04538e26i −1.19437 + 0.527091i
\(693\) −7.15457e25 + 1.97972e25i −0.0737255 + 0.0204004i
\(694\) −7.03689e26 + 1.07971e27i −0.715263 + 1.09747i
\(695\) −2.12697e26 −0.213258
\(696\) −7.74543e26 + 7.33787e26i −0.766051 + 0.725742i
\(697\) 4.55673e26 0.444571
\(698\) −7.15219e26 + 1.09740e27i −0.688355 + 1.05618i
\(699\) 3.27154e26 4.29974e26i 0.310613 0.408234i
\(700\) 6.25072e25 2.75852e25i 0.0585462 0.0258371i
\(701\) 1.42979e27i 1.32114i 0.750763 + 0.660572i \(0.229686\pi\)
−0.750763 + 0.660572i \(0.770314\pi\)
\(702\) −4.76543e26 6.77877e26i −0.434409 0.617943i
\(703\) 1.47447e27i 1.32605i
\(704\) 1.24138e27 + 4.16872e26i 1.10145 + 0.369881i
\(705\) 1.33778e26 1.75822e26i 0.117108 0.153914i
\(706\) −6.03923e26 3.93599e26i −0.521599 0.339945i
\(707\) −1.37307e24 −0.00117006
\(708\) 5.04793e26 2.11008e27i 0.424422 1.77412i
\(709\) −4.29192e26 −0.356051 −0.178026 0.984026i \(-0.556971\pi\)
−0.178026 + 0.984026i \(0.556971\pi\)
\(710\) −2.57990e25 1.68142e25i −0.0211178 0.0137633i
\(711\) 1.86373e27 5.15709e26i 1.50530 0.416527i
\(712\) −6.63862e25 + 4.06225e26i −0.0529076 + 0.323748i
\(713\) 6.06919e24i 0.00477288i
\(714\) −6.34457e25 + 2.26417e25i −0.0492345 + 0.0175701i
\(715\) 1.91773e26i 0.146852i
\(716\) −2.77403e25 6.28588e25i −0.0209622 0.0474999i
\(717\) 9.01404e26 + 6.85851e26i 0.672183 + 0.511444i
\(718\) −5.47795e26 + 8.40515e26i −0.403121 + 0.618533i
\(719\) 2.06112e26 0.149685 0.0748424 0.997195i \(-0.476155\pi\)
0.0748424 + 0.997195i \(0.476155\pi\)
\(720\) −1.05656e26 + 2.08187e26i −0.0757243 + 0.149209i
\(721\) 4.38836e25 0.0310397
\(722\) −3.56273e26 + 5.46651e26i −0.248702 + 0.381599i
\(723\) 1.28350e26 + 9.76579e25i 0.0884266 + 0.0672812i
\(724\) −1.05038e27 2.38014e27i −0.714219 1.61840i
\(725\) 1.52838e27i 1.02570i
\(726\) 4.97668e26 1.77601e26i 0.329642 0.117638i
\(727\) 1.49727e27i 0.978865i 0.872041 + 0.489433i \(0.162796\pi\)
−0.872041 + 0.489433i \(0.837204\pi\)
\(728\) 1.24297e25 7.60586e25i 0.00802069 0.0490795i
\(729\) −1.13701e27 1.08270e27i −0.724189 0.689601i
\(730\) −1.73233e26 1.12903e26i −0.108909 0.0709801i
\(731\) 1.22625e27 0.760963
\(732\) 4.19242e26 1.75247e27i 0.256809 1.07348i
\(733\) −8.11864e26 −0.490903 −0.245451 0.969409i \(-0.578936\pi\)
−0.245451 + 0.969409i \(0.578936\pi\)
\(734\) −1.63685e27 1.06680e27i −0.977005 0.636751i
\(735\) −1.71212e26 + 2.25021e26i −0.100880 + 0.132585i
\(736\) −1.46878e26 5.66668e26i −0.0854314 0.329602i
\(737\) 3.58638e27i 2.05928i
\(738\) −2.99105e26 + 9.41378e26i −0.169546 + 0.533616i
\(739\) 2.20357e27i 1.23312i 0.787308 + 0.616560i \(0.211474\pi\)
−0.787308 + 0.616560i \(0.788526\pi\)
\(740\) 4.97941e26 2.19747e26i 0.275091 0.121401i
\(741\) 6.18812e26 8.13295e26i 0.337509 0.443583i
\(742\) 1.06142e26 1.62860e26i 0.0571543 0.0876953i
\(743\) −5.27768e26 −0.280575 −0.140288 0.990111i \(-0.544803\pi\)
−0.140288 + 0.990111i \(0.544803\pi\)
\(744\) 1.93874e25 1.83673e25i 0.0101760 0.00964055i
\(745\) −4.07021e26 −0.210927
\(746\) −7.24552e26 + 1.11172e27i −0.370724 + 0.568825i
\(747\) 5.47065e25 + 1.97705e26i 0.0276371 + 0.0998786i
\(748\) 1.69208e27 7.46735e26i 0.844027 0.372479i
\(749\) 6.73368e25i 0.0331646i
\(750\) −2.28047e26 6.39027e26i −0.110903 0.310769i
\(751\) 2.93831e27i 1.41097i −0.708724 0.705486i \(-0.750729\pi\)
0.708724 0.705486i \(-0.249271\pi\)
\(752\) 1.64292e27 1.80079e27i 0.779015 0.853874i
\(753\) 5.30802e26 + 4.03871e26i 0.248531 + 0.189100i
\(754\) −1.44431e27 9.41313e26i −0.667780 0.435217i
\(755\) −1.94225e25 −0.00886767
\(756\) −5.12970e24 1.45935e26i −0.00231279 0.0657965i
\(757\) 9.76597e26 0.434815 0.217407 0.976081i \(-0.430240\pi\)
0.217407 + 0.976081i \(0.430240\pi\)
\(758\) 1.88767e26 + 1.23027e26i 0.0829983 + 0.0540931i
\(759\) −7.25091e26 5.51700e26i −0.314844 0.239556i
\(760\) −2.84164e26 4.64387e25i −0.121854 0.0199137i
\(761\) 3.31063e27i 1.40203i 0.713148 + 0.701013i \(0.247269\pi\)
−0.713148 + 0.701013i \(0.752731\pi\)
\(762\) 2.53974e26 + 7.11679e26i 0.106223 + 0.297654i