Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,7,Mod(2,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.h (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83113575602\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.8 | ||
Character | \(\chi\) | \(=\) | 21.11 |
Dual form | 21.7.h.a.2.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.07584 | − | 0.621137i | 0.134480 | − | 0.0776422i | −0.431251 | − | 0.902232i | \(-0.641928\pi\) |
0.565731 | + | 0.824590i | \(0.308594\pi\) | |||||||
\(3\) | −9.77741 | − | 25.1675i | −0.362126 | − | 0.932129i | ||||
\(4\) | −31.2284 | + | 54.0891i | −0.487943 | + | 0.845143i | ||||
\(5\) | −93.7473 | + | 54.1250i | −0.749978 | + | 0.433000i | −0.825686 | − | 0.564130i | \(-0.809212\pi\) |
0.0757077 | + | 0.997130i | \(0.475878\pi\) | |||||||
\(6\) | −26.1514 | − | 21.0031i | −0.121071 | − | 0.0972366i | ||||
\(7\) | 147.950 | + | 309.451i | 0.431341 | + | 0.902189i | ||||
\(8\) | 157.094i | 0.306824i | ||||||||
\(9\) | −537.804 | + | 492.146i | −0.737729 | + | 0.675097i | ||||
\(10\) | −67.2381 | + | 116.460i | −0.0672381 | + | 0.116460i | ||||
\(11\) | −1895.66 | − | 1094.46i | −1.42424 | − | 0.822283i | −0.427579 | − | 0.903978i | \(-0.640633\pi\) |
−0.996657 | + | 0.0816949i | \(0.973967\pi\) | |||||||
\(12\) | 1666.62 | + | 257.088i | 0.964479 | + | 0.148778i | ||||
\(13\) | −1138.08 | −0.518013 | −0.259007 | − | 0.965876i | \(-0.583395\pi\) | ||||
−0.259007 | + | 0.965876i | \(0.583395\pi\) | |||||||
\(14\) | 351.382 | + | 241.023i | 0.128055 | + | 0.0878363i | ||||
\(15\) | 2278.80 | + | 1830.18i | 0.675199 | + | 0.542276i | ||||
\(16\) | −1901.04 | − | 3292.70i | −0.464121 | − | 0.803881i | ||||
\(17\) | 6949.27 | + | 4012.16i | 1.41447 | + | 0.816643i | 0.995805 | − | 0.0914999i | \(-0.0291661\pi\) |
0.418661 | + | 0.908142i | \(0.362499\pi\) | |||||||
\(18\) | −272.902 | + | 863.521i | −0.0467939 | + | 0.148066i | ||||
\(19\) | −3237.28 | − | 5607.13i | −0.471975 | − | 0.817485i | 0.527511 | − | 0.849548i | \(-0.323126\pi\) |
−0.999486 | + | 0.0320633i | \(0.989792\pi\) | |||||||
\(20\) | − | 6760.95i | − | 0.845118i | ||||||
\(21\) | 6341.53 | − | 6749.16i | 0.684757 | − | 0.728772i | ||||
\(22\) | −2719.24 | −0.255375 | ||||||||
\(23\) | −1113.26 | + | 642.738i | −0.0914979 | + | 0.0528263i | −0.545051 | − | 0.838403i | \(-0.683490\pi\) |
0.453553 | + | 0.891229i | \(0.350156\pi\) | |||||||
\(24\) | 3953.66 | − | 1535.97i | 0.286000 | − | 0.111109i | ||||
\(25\) | −1953.46 | + | 3383.50i | −0.125022 | + | 0.216544i | ||||
\(26\) | −1224.39 | + | 706.901i | −0.0696625 | + | 0.0402197i | ||||
\(27\) | 17644.4 | + | 8723.28i | 0.896429 | + | 0.443188i | ||||
\(28\) | −21358.2 | − | 1661.16i | −0.972948 | − | 0.0756723i | ||||
\(29\) | 14229.8i | 0.583450i | 0.956502 | + | 0.291725i | \(0.0942291\pi\) | ||||
−0.956502 | + | 0.291725i | \(0.905771\pi\) | |||||||
\(30\) | 3588.42 | + | 553.539i | 0.132904 | + | 0.0205014i | ||||
\(31\) | −8129.75 | + | 14081.1i | −0.272893 | + | 0.472664i | −0.969601 | − | 0.244690i | \(-0.921314\pi\) |
0.696708 | + | 0.717354i | \(0.254647\pi\) | |||||||
\(32\) | −12797.5 | − | 7388.62i | −0.390548 | − | 0.225483i | ||||
\(33\) | −9010.15 | + | 58409.9i | −0.250721 | + | 1.62534i | ||||
\(34\) | 9968.42 | 0.253624 | ||||||||
\(35\) | −30618.9 | − | 21002.4i | −0.714144 | − | 0.489851i | ||||
\(36\) | −9824.97 | − | 44458.3i | −0.210583 | − | 0.952895i | ||||
\(37\) | −16657.2 | − | 28851.0i | −0.328848 | − | 0.569582i | 0.653435 | − | 0.756982i | \(-0.273327\pi\) |
−0.982284 | + | 0.187400i | \(0.939994\pi\) | |||||||
\(38\) | −6965.60 | − | 4021.59i | −0.126943 | − | 0.0732904i | ||||
\(39\) | 11127.4 | + | 28642.5i | 0.187586 | + | 0.482855i | ||||
\(40\) | −8502.72 | − | 14727.1i | −0.132855 | − | 0.230112i | ||||
\(41\) | 98678.4i | 1.43176i | 0.698223 | + | 0.715881i | \(0.253975\pi\) | ||||
−0.698223 | + | 0.715881i | \(0.746025\pi\) | |||||||
\(42\) | 2630.33 | − | 11200.0i | 0.0355027 | − | 0.151171i | ||||
\(43\) | 62149.0 | 0.781680 | 0.390840 | − | 0.920459i | \(-0.372185\pi\) | ||||
0.390840 | + | 0.920459i | \(0.372185\pi\) | |||||||
\(44\) | 118397. | − | 68356.4i | 1.38989 | − | 0.802455i | ||||
\(45\) | 23780.3 | − | 75246.0i | 0.260964 | − | 0.825745i | ||||
\(46\) | −798.457 | + | 1382.97i | −0.00820310 | + | 0.0142082i | ||||
\(47\) | 50356.5 | − | 29073.3i | 0.485023 | − | 0.280028i | −0.237485 | − | 0.971391i | \(-0.576323\pi\) |
0.722507 | + | 0.691363i | \(0.242990\pi\) | |||||||
\(48\) | −64281.6 | + | 80038.4i | −0.581250 | + | 0.723727i | ||||
\(49\) | −73870.6 | + | 91566.5i | −0.627890 | + | 0.778302i | ||||
\(50\) | 4853.48i | 0.0388278i | ||||||||
\(51\) | 33030.2 | − | 214124.i | 0.249001 | − | 1.61419i | ||||
\(52\) | 35540.3 | − | 61557.5i | 0.252761 | − | 0.437795i | ||||
\(53\) | −157157. | − | 90734.5i | −1.05561 | − | 0.609459i | −0.131399 | − | 0.991330i | \(-0.541947\pi\) |
−0.924216 | + | 0.381870i | \(0.875280\pi\) | |||||||
\(54\) | 24400.9 | − | 1574.73i | 0.154962 | − | 0.0100006i | ||||
\(55\) | 236950. | 1.42420 | ||||||||
\(56\) | −48612.9 | + | 23242.1i | −0.276813 | + | 0.132346i | ||||
\(57\) | −109465. | + | 136297.i | −0.591087 | + | 0.735975i | ||||
\(58\) | 8838.63 | + | 15309.0i | 0.0453003 | + | 0.0784624i | ||||
\(59\) | 127514. | + | 73620.3i | 0.620872 | + | 0.358461i | 0.777209 | − | 0.629243i | \(-0.216635\pi\) |
−0.156336 | + | 0.987704i | \(0.549968\pi\) | |||||||
\(60\) | −170156. | + | 66104.6i | −0.787759 | + | 0.306040i | ||||
\(61\) | 6343.16 | + | 10986.7i | 0.0279458 | + | 0.0484035i | 0.879660 | − | 0.475603i | \(-0.157770\pi\) |
−0.851714 | + | 0.524006i | \(0.824437\pi\) | |||||||
\(62\) | 20198.8i | 0.0847520i | ||||||||
\(63\) | −231863. | − | 93611.1i | −0.927278 | − | 0.374374i | ||||
\(64\) | 224976. | 0.858214 | ||||||||
\(65\) | 106692. | − | 61598.4i | 0.388499 | − | 0.224300i | ||||
\(66\) | 26587.1 | + | 68436.4i | 0.0924781 | + | 0.238043i | ||||
\(67\) | −188397. | + | 326313.i | −0.626397 | + | 1.08495i | 0.361872 | + | 0.932228i | \(0.382138\pi\) |
−0.988269 | + | 0.152723i | \(0.951196\pi\) | |||||||
\(68\) | −434029. | + | 250587.i | −1.38036 | + | 0.796951i | ||||
\(69\) | 27060.9 | + | 21733.5i | 0.0823748 | + | 0.0661581i | ||||
\(70\) | −45986.5 | − | 3576.66i | −0.134071 | − | 0.0104276i | ||||
\(71\) | 118223.i | 0.330314i | 0.986267 | + | 0.165157i | \(0.0528131\pi\) | ||||
−0.986267 | + | 0.165157i | \(0.947187\pi\) | |||||||
\(72\) | −77313.1 | − | 84485.9i | −0.207136 | − | 0.226353i | ||||
\(73\) | 3414.75 | − | 5914.52i | 0.00877789 | − | 0.0152038i | −0.861603 | − | 0.507583i | \(-0.830539\pi\) |
0.870381 | + | 0.492379i | \(0.163873\pi\) | |||||||
\(74\) | −35840.9 | − | 20692.8i | −0.0884471 | − | 0.0510650i | ||||
\(75\) | 104254. | + | 16081.9i | 0.247120 | + | 0.0381201i | ||||
\(76\) | 404380. | 0.921189 | ||||||||
\(77\) | 58218.5 | − | 748538.i | 0.127523 | − | 1.63961i | ||||
\(78\) | 29762.3 | + | 23903.1i | 0.0627166 | + | 0.0503699i | ||||
\(79\) | −183692. | − | 318164.i | −0.372571 | − | 0.645313i | 0.617389 | − | 0.786658i | \(-0.288191\pi\) |
−0.989960 | + | 0.141345i | \(0.954857\pi\) | |||||||
\(80\) | 356435. | + | 205788.i | 0.696161 | + | 0.401929i | ||||
\(81\) | 47026.4 | − | 529356.i | 0.0884884 | − | 0.996077i | ||||
\(82\) | 61292.8 | + | 106162.i | 0.111165 | + | 0.192544i | ||||
\(83\) | 336120.i | 0.587841i | 0.955830 | + | 0.293920i | \(0.0949600\pi\) | ||||
−0.955830 | + | 0.293920i | \(0.905040\pi\) | |||||||
\(84\) | 167020. | + | 553773.i | 0.281794 | + | 0.934316i | ||||
\(85\) | −868634. | −1.41443 | ||||||||
\(86\) | 66862.5 | − | 38603.1i | 0.105120 | − | 0.0606913i | ||||
\(87\) | 358127. | − | 139130.i | 0.543850 | − | 0.211282i | ||||
\(88\) | 171933. | − | 297797.i | 0.252296 | − | 0.436990i | ||||
\(89\) | 258905. | − | 149479.i | 0.367258 | − | 0.212036i | −0.305002 | − | 0.952352i | \(-0.598657\pi\) |
0.672260 | + | 0.740315i | \(0.265324\pi\) | |||||||
\(90\) | −21154.2 | − | 95723.6i | −0.0290182 | − | 0.131308i | ||||
\(91\) | −168378. | − | 352178.i | −0.223441 | − | 0.467346i | ||||
\(92\) | − | 80286.7i | − | 0.103105i | ||||||
\(93\) | 433875. | + | 66928.3i | 0.539406 | + | 0.0832072i | ||||
\(94\) | 36117.1 | − | 62556.6i | 0.0434839 | − | 0.0753164i | ||||
\(95\) | 606972. | + | 350436.i | 0.707942 | + | 0.408731i | ||||
\(96\) | −60826.9 | + | 394322.i | −0.0687515 | + | 0.445694i | ||||
\(97\) | −539279. | −0.590879 | −0.295439 | − | 0.955361i | \(-0.595466\pi\) | ||||
−0.295439 | + | 0.955361i | \(0.595466\pi\) | |||||||
\(98\) | −22597.7 | + | 144395.i | −0.0240096 | + | 0.153417i | ||||
\(99\) | 1.55813e6 | − | 344335.i | 1.60582 | − | 0.354875i | ||||
\(100\) | −122007. | − | 211322.i | −0.122007 | − | 0.211322i | ||||
\(101\) | −964412. | − | 556804.i | −0.936049 | − | 0.540428i | −0.0473294 | − | 0.998879i | \(-0.515071\pi\) |
−0.888720 | + | 0.458451i | \(0.848404\pi\) | |||||||
\(102\) | −97465.3 | − | 250880.i | −0.0918438 | − | 0.236410i | ||||
\(103\) | −189371. | − | 328000.i | −0.173301 | − | 0.300167i | 0.766271 | − | 0.642518i | \(-0.222110\pi\) |
−0.939572 | + | 0.342351i | \(0.888777\pi\) | |||||||
\(104\) | − | 178785.i | − | 0.158939i | ||||||
\(105\) | −229203. | + | 975951.i | −0.197994 | + | 0.843063i | ||||
\(106\) | −225434. | −0.189279 | ||||||||
\(107\) | −904064. | + | 521962.i | −0.737985 | + | 0.426076i | −0.821336 | − | 0.570444i | \(-0.806771\pi\) |
0.0833510 | + | 0.996520i | \(0.473438\pi\) | |||||||
\(108\) | −1.02284e6 | + | 681957.i | −0.811964 | + | 0.541359i | ||||
\(109\) | −943658. | + | 1.63446e6i | −0.728677 | + | 1.26211i | 0.228765 | + | 0.973482i | \(0.426531\pi\) |
−0.957442 | + | 0.288624i | \(0.906802\pi\) | |||||||
\(110\) | 254921. | − | 147179.i | 0.191526 | − | 0.110578i | ||||
\(111\) | −563244. | + | 701307.i | −0.411839 | + | 0.512790i | ||||
\(112\) | 737669. | − | 1.07543e6i | 0.525058 | − | 0.765472i | ||||
\(113\) | − | 424686.i | − | 0.294329i | −0.989112 | − | 0.147164i | \(-0.952985\pi\) | ||
0.989112 | − | 0.147164i | \(-0.0470147\pi\) | |||||||
\(114\) | −33107.8 | + | 214627.i | −0.0223468 | + | 0.144867i | ||||
\(115\) | 69576.4 | − | 120510.i | 0.0457476 | − | 0.0792372i | ||||
\(116\) | −769675. | − | 444372.i | −0.493098 | − | 0.284690i | ||||
\(117\) | 612062. | − | 560099.i | 0.382154 | − | 0.349709i | ||||
\(118\) | 182913. | 0.111327 | ||||||||
\(119\) | −213423. | + | 2.74406e6i | −0.126648 | + | 1.62837i | ||||
\(120\) | −287510. | + | 357985.i | −0.166383 | + | 0.207167i | ||||
\(121\) | 1.50990e6 | + | 2.61522e6i | 0.852299 | + | 1.47623i | ||||
\(122\) | 13648.5 | + | 7879.94i | 0.00751630 | + | 0.00433954i | ||||
\(123\) | 2.48349e6 | − | 964819.i | 1.33459 | − | 0.518478i | ||||
\(124\) | −507758. | − | 879463.i | −0.266313 | − | 0.461267i | ||||
\(125\) | − | 2.11433e6i | − | 1.08254i | ||||||
\(126\) | −307593. | + | 43308.1i | −0.153768 | + | 0.0216500i | ||||
\(127\) | −907684. | −0.443122 | −0.221561 | − | 0.975146i | \(-0.571115\pi\) | ||||
−0.221561 | + | 0.975146i | \(0.571115\pi\) | |||||||
\(128\) | 1.06108e6 | − | 612612.i | 0.505960 | − | 0.292116i | ||||
\(129\) | −607657. | − | 1.56414e6i | −0.283067 | − | 0.728627i | ||||
\(130\) | 76522.1 | − | 132540.i | 0.0348303 | − | 0.0603278i | ||||
\(131\) | 664364. | − | 383571.i | 0.295524 | − | 0.170621i | −0.344906 | − | 0.938637i | \(-0.612089\pi\) |
0.640430 | + | 0.768016i | \(0.278756\pi\) | |||||||
\(132\) | −2.87797e6 | − | 2.31140e6i | −1.25131 | − | 1.00497i | ||||
\(133\) | 1.25618e6 | − | 1.83135e6i | 0.533944 | − | 0.778426i | ||||
\(134\) | 468082.i | 0.194539i | ||||||||
\(135\) | −2.12626e6 | + | 137220.i | −0.864203 | + | 0.0557721i | ||||
\(136\) | −630287. | + | 1.09169e6i | −0.250566 | + | 0.433993i | ||||
\(137\) | 1.28937e6 | + | 744416.i | 0.501435 | + | 0.289503i | 0.729306 | − | 0.684188i | \(-0.239843\pi\) |
−0.227871 | + | 0.973691i | \(0.573176\pi\) | |||||||
\(138\) | 42612.7 | + | 6573.31i | 0.0162144 | + | 0.00250119i | ||||
\(139\) | 2.89116e6 | 1.07654 | 0.538268 | − | 0.842774i | \(-0.319079\pi\) | ||||
0.538268 | + | 0.842774i | \(0.319079\pi\) | |||||||
\(140\) | 2.09218e6 | − | 1.00028e6i | 0.762456 | − | 0.364534i | ||||
\(141\) | −1.22406e6 | − | 983085.i | −0.436662 | − | 0.350698i | ||||
\(142\) | 73432.8 | + | 127189.i | 0.0256463 | + | 0.0444207i | ||||
\(143\) | 2.15740e6 | + | 1.24558e6i | 0.737774 | + | 0.425954i | ||||
\(144\) | 2.64287e6 | + | 835239.i | 0.885093 | + | 0.279720i | ||||
\(145\) | −770186. | − | 1.33400e6i | −0.252634 | − | 0.437575i | ||||
\(146\) | − | 8484.11i | − | 0.00272614i | ||||||
\(147\) | 3.02676e6 | + | 963854.i | 0.952854 | + | 0.303430i | ||||
\(148\) | 2.08070e6 | 0.641837 | ||||||||
\(149\) | −5.57672e6 | + | 3.21972e6i | −1.68585 | + | 0.973329i | −0.728220 | + | 0.685344i | \(0.759652\pi\) |
−0.957635 | + | 0.287985i | \(0.907015\pi\) | |||||||
\(150\) | 122150. | − | 47454.4i | 0.0361925 | − | 0.0140606i | ||||
\(151\) | 1.21615e6 | − | 2.10643e6i | 0.353228 | − | 0.611809i | −0.633585 | − | 0.773673i | \(-0.718417\pi\) |
0.986813 | + | 0.161864i | \(0.0517507\pi\) | |||||||
\(152\) | 880847. | − | 508557.i | 0.250824 | − | 0.144813i | ||||
\(153\) | −5.71192e6 | + | 1.26229e6i | −1.59481 | + | 0.352441i | ||||
\(154\) | −402311. | − | 841470.i | −0.110154 | − | 0.230397i | ||||
\(155\) | − | 1.76009e6i | − | 0.472651i | ||||||
\(156\) | −1.89674e6 | − | 292586.i | −0.499613 | − | 0.0770689i | ||||
\(157\) | −1.87598e6 | + | 3.24929e6i | −0.484762 | + | 0.839632i | −0.999847 | − | 0.0175070i | \(-0.994427\pi\) |
0.515085 | + | 0.857139i | \(0.327760\pi\) | |||||||
\(158\) | −395247. | − | 228196.i | −0.100207 | − | 0.0578545i | ||||
\(159\) | −746973. | + | 4.84239e6i | −0.185829 | + | 1.20467i | ||||
\(160\) | 1.59964e6 | 0.390536 | ||||||||
\(161\) | −363602. | − | 249405.i | −0.0871262 | − | 0.0597622i | ||||
\(162\) | −278210. | − | 598713.i | −0.0654377 | − | 0.140823i | ||||
\(163\) | 3.47035e6 | + | 6.01083e6i | 0.801329 | + | 1.38794i | 0.918742 | + | 0.394859i | \(0.129207\pi\) |
−0.117413 | + | 0.993083i | \(0.537460\pi\) | |||||||
\(164\) | −5.33743e6 | − | 3.08157e6i | −1.21004 | − | 0.698618i | ||||
\(165\) | −2.31676e6 | − | 5.96345e6i | −0.515739 | − | 1.32753i | ||||
\(166\) | 208776. | + | 361611.i | 0.0456412 | + | 0.0790529i | ||||
\(167\) | − | 4.15217e6i | − | 0.891509i | −0.895155 | − | 0.445755i | \(-0.852935\pi\) | ||
0.895155 | − | 0.445755i | \(-0.147065\pi\) | |||||||
\(168\) | 1.06025e6 | + | 996216.i | 0.223605 | + | 0.210100i | ||||
\(169\) | −3.53159e6 | −0.731662 | ||||||||
\(170\) | −934512. | + | 539541.i | −0.190212 | + | 0.109819i | ||||
\(171\) | 4.50055e6 | + | 1.42233e6i | 0.900072 | + | 0.284454i | ||||
\(172\) | −1.94081e6 | + | 3.36159e6i | −0.381416 | + | 0.660631i | ||||
\(173\) | −304335. | + | 175708.i | −0.0587778 | + | 0.0339354i | −0.529101 | − | 0.848559i | \(-0.677471\pi\) |
0.470323 | + | 0.882494i | \(0.344137\pi\) | |||||||
\(174\) | 298869. | − | 372128.i | 0.0567327 | − | 0.0706390i | ||||
\(175\) | −1.33604e6 | − | 103912.i | −0.249290 | − | 0.0193889i | ||||
\(176\) | 8.32244e6i | 1.52656i | ||||||||
\(177\) | 606080. | − | 3.92903e6i | 0.109298 | − | 0.708541i | ||||
\(178\) | 185694. | − | 321632.i | 0.0329259 | − | 0.0570294i | ||||
\(179\) | 2.53567e6 | + | 1.46397e6i | 0.442114 | + | 0.255255i | 0.704494 | − | 0.709710i | \(-0.251174\pi\) |
−0.262380 | + | 0.964965i | \(0.584507\pi\) | |||||||
\(180\) | 3.32737e6 | + | 3.63607e6i | 0.570537 | + | 0.623468i | ||||
\(181\) | 5.66335e6 | 0.955076 | 0.477538 | − | 0.878611i | \(-0.341529\pi\) | ||||
0.477538 | + | 0.878611i | \(0.341529\pi\) | |||||||
\(182\) | −399899. | − | 274302.i | −0.0663341 | − | 0.0455004i | ||||
\(183\) | 214487. | − | 267062.i | 0.0349984 | − | 0.0435772i | ||||
\(184\) | −100970. | − | 174886.i | −0.0162084 | − | 0.0280738i | ||||
\(185\) | 3.12313e6 | + | 1.80314e6i | 0.493258 | + | 0.284783i | ||||
\(186\) | 508352. | − | 197492.i | 0.0789998 | − | 0.0306909i | ||||
\(187\) | −8.78230e6 | − | 1.52114e7i | −1.34302 | − | 2.32618i | ||||
\(188\) | 3.63165e6i | 0.546551i | ||||||||
\(189\) | −88935.3 | + | 6.75068e6i | −0.0131731 | + | 0.999913i | ||||
\(190\) | 870674. | 0.126939 | ||||||||
\(191\) | 9.19484e6 | − | 5.30864e6i | 1.31960 | − | 0.761874i | 0.335940 | − | 0.941883i | \(-0.390946\pi\) |
0.983665 | + | 0.180009i | \(0.0576127\pi\) | |||||||
\(192\) | −2.19968e6 | − | 5.66207e6i | −0.310782 | − | 0.799966i | ||||
\(193\) | −5.25264e6 | + | 9.09784e6i | −0.730644 | + | 1.26551i | 0.225964 | + | 0.974136i | \(0.427447\pi\) |
−0.956608 | + | 0.291377i | \(0.905887\pi\) | |||||||
\(194\) | −580179. | + | 334966.i | −0.0794615 | + | 0.0458771i | ||||
\(195\) | −2.59344e6 | − | 2.08288e6i | −0.349762 | − | 0.280906i | ||||
\(196\) | −2.64589e6 | − | 6.85507e6i | −0.351402 | − | 0.910424i | ||||
\(197\) | − | 1.35624e7i | − | 1.77393i | −0.461834 | − | 0.886966i | \(-0.652809\pi\) | ||
0.461834 | − | 0.886966i | \(-0.347191\pi\) | |||||||
\(198\) | 1.46242e6 | − | 1.33826e6i | 0.188398 | − | 0.172403i | ||||
\(199\) | 3.33396e6 | − | 5.77458e6i | 0.423059 | − | 0.732759i | −0.573178 | − | 0.819431i | \(-0.694290\pi\) |
0.996237 | + | 0.0866716i | \(0.0276231\pi\) | |||||||
\(200\) | −531527. | − | 306877.i | −0.0664409 | − | 0.0383597i | ||||
\(201\) | 1.00545e7 | + | 1.55098e6i | 1.23815 | + | 0.190993i | ||||
\(202\) | −1.38341e6 | −0.167840 | ||||||||
\(203\) | −4.40341e6 | + | 2.10529e6i | −0.526382 | + | 0.251666i | ||||
\(204\) | 1.05503e7 | + | 8.47333e6i | 1.24273 | + | 0.998076i | ||||
\(205\) | −5.34097e6 | − | 9.25084e6i | −0.619953 | − | 1.07379i | ||||
\(206\) | −407467. | − | 235251.i | −0.0466112 | − | 0.0269110i | ||||
\(207\) | 282393. | − | 893551.i | 0.0318378 | − | 0.100741i | ||||
\(208\) | 2.16353e6 | + | 3.74734e6i | 0.240421 | + | 0.416421i | ||||
\(209\) | 1.41723e7i | 1.55239i | ||||||||
\(210\) | 359613. | + | 1.19233e6i | 0.0388309 | + | 0.128748i | ||||
\(211\) | −4.44294e6 | −0.472959 | −0.236479 | − | 0.971636i | \(-0.575994\pi\) | ||||
−0.236479 | + | 0.971636i | \(0.575994\pi\) | |||||||
\(212\) | 9.81550e6 | − | 5.66698e6i | 1.03016 | − | 0.594763i | ||||
\(213\) | 2.97538e6 | − | 1.15592e6i | 0.307895 | − | 0.119615i | ||||
\(214\) | −648420. | + | 1.12310e6i | −0.0661629 | + | 0.114598i | ||||
\(215\) | −5.82631e6 | + | 3.36382e6i | −0.586243 | + | 0.338468i | ||||
\(216\) | −1.37037e6 | + | 2.77183e6i | −0.135981 | + | 0.275046i | ||||
\(217\) | −5.56022e6 | − | 432453.i | −0.544143 | − | 0.0423214i | ||||
\(218\) | 2.34456e6i | 0.226304i | ||||||||
\(219\) | −182241. | − | 28112.0i | −0.0173506 | − | 0.00267645i | ||||
\(220\) | −7.39958e6 | + | 1.28164e7i | −0.694927 | + | 1.20365i | ||||
\(221\) | −7.90880e6 | − | 4.56615e6i | −0.732713 | − | 0.423032i | ||||
\(222\) | −170353. | + | 1.10435e6i | −0.0155701 | + | 0.100936i | ||||
\(223\) | 1.80890e7 | 1.63118 | 0.815588 | − | 0.578633i | \(-0.196414\pi\) | ||||
0.815588 | + | 0.578633i | \(0.196414\pi\) | |||||||
\(224\) | 393029. | − | 5.05333e6i | 0.0349688 | − | 0.449608i | ||||
\(225\) | −614592. | − | 2.78105e6i | −0.0539560 | − | 0.244152i | ||||
\(226\) | −263789. | − | 456895.i | −0.0228523 | − | 0.0395814i | ||||
\(227\) | 876805. | + | 506224.i | 0.0749593 | + | 0.0432778i | 0.537011 | − | 0.843575i | \(-0.319553\pi\) |
−0.462052 | + | 0.886853i | \(0.652887\pi\) | |||||||
\(228\) | −3.95379e6 | − | 1.01772e7i | −0.333587 | − | 0.858667i | ||||
\(229\) | 7.53611e6 | + | 1.30529e7i | 0.627539 | + | 1.08693i | 0.988044 | + | 0.154172i | \(0.0492710\pi\) |
−0.360505 | + | 0.932757i | \(0.617396\pi\) | |||||||
\(230\) | − | 172866.i | − | 0.0142078i | ||||||
\(231\) | −1.94080e7 | + | 5.85355e6i | −1.57451 | + | 0.474880i | ||||
\(232\) | −2.23541e6 | −0.179016 | ||||||||
\(233\) | −6.84600e6 | + | 3.95254e6i | −0.541214 | + | 0.312470i | −0.745571 | − | 0.666426i | \(-0.767823\pi\) |
0.204357 | + | 0.978896i | \(0.434490\pi\) | |||||||
\(234\) | 310583. | − | 982752.i | 0.0242399 | − | 0.0767002i | ||||
\(235\) | −3.14719e6 | + | 5.45109e6i | −0.242504 | + | 0.420030i | ||||
\(236\) | −7.96412e6 | + | 4.59809e6i | −0.605901 | + | 0.349817i | ||||
\(237\) | −6.21136e6 | + | 7.73389e6i | −0.466597 | + | 0.580969i | ||||
\(238\) | 1.47483e6 | + | 3.08474e6i | 0.109398 | + | 0.228816i | ||||
\(239\) | 1.37219e6i | 0.100513i | 0.998736 | + | 0.0502564i | \(0.0160039\pi\) | ||||
−0.998736 | + | 0.0502564i | \(0.983996\pi\) | |||||||
\(240\) | 1.69415e6 | − | 1.09826e7i | 0.122551 | − | 0.794461i | ||||
\(241\) | 9.73279e6 | − | 1.68577e7i | 0.695323 | − | 1.20433i | −0.274749 | − | 0.961516i | \(-0.588595\pi\) |
0.970072 | − | 0.242818i | \(-0.0780718\pi\) | |||||||
\(242\) | 3.24883e6 | + | 1.87571e6i | 0.229235 | + | 0.132349i | ||||
\(243\) | −1.37824e7 | + | 3.99220e6i | −0.960516 | + | 0.278223i | ||||
\(244\) | −792346. | −0.0545438 | ||||||||
\(245\) | 1.96913e6 | − | 1.25824e7i | 0.133899 | − | 0.855586i | ||||
\(246\) | 2.07255e6 | − | 2.58058e6i | 0.139220 | − | 0.173345i | ||||
\(247\) | 3.68427e6 | + | 6.38134e6i | 0.244490 | + | 0.423468i | ||||
\(248\) | −2.21206e6 | − | 1.27714e6i | −0.145025 | − | 0.0837302i | ||||
\(249\) | 8.45928e6 | − | 3.28638e6i | 0.547943 | − | 0.212873i | ||||
\(250\) | −1.31329e6 | − | 2.27469e6i | −0.0840506 | − | 0.145580i | ||||
\(251\) | 1.03251e7i | 0.652939i | 0.945208 | + | 0.326470i | \(0.105859\pi\) | ||||
−0.945208 | + | 0.326470i | \(0.894141\pi\) | |||||||
\(252\) | 1.23040e7 | − | 9.61795e6i | 0.768858 | − | 0.601009i | ||||
\(253\) | 2.81380e6 | 0.173753 | ||||||||
\(254\) | −976524. | + | 563797.i | −0.0595912 | + | 0.0344050i | ||||
\(255\) | 8.49299e6 | + | 2.18613e7i | 0.512201 | + | 1.31843i | ||||
\(256\) | −6.43819e6 | + | 1.11513e7i | −0.383746 | + | 0.664667i | ||||
\(257\) | 1.64386e7 | − | 9.49082e6i | 0.968423 | − | 0.559119i | 0.0696675 | − | 0.997570i | \(-0.477806\pi\) |
0.898755 | + | 0.438451i | \(0.144473\pi\) | |||||||
\(258\) | −1.62528e6 | − | 1.30532e6i | −0.0946391 | − | 0.0760079i | ||||
\(259\) | 6.46355e6 | − | 9.42308e6i | 0.372025 | − | 0.542367i | ||||
\(260\) | 7.69447e6i | 0.437783i | ||||||||
\(261\) | −7.00311e6 | − | 7.65283e6i | −0.393885 | − | 0.430428i | ||||
\(262\) | 476500. | − | 825323.i | 0.0264947 | − | 0.0458902i | ||||
\(263\) | −6.17079e6 | − | 3.56271e6i | −0.339214 | − | 0.195845i | 0.320710 | − | 0.947177i | \(-0.396078\pi\) |
−0.659924 | + | 0.751332i | \(0.729412\pi\) | |||||||
\(264\) | −9.17585e6 | − | 1.41544e6i | −0.498694 | − | 0.0769272i | ||||
\(265\) | 1.96440e7 | 1.05558 | ||||||||
\(266\) | 213924. | − | 2.75050e6i | 0.0113662 | − | 0.146139i | ||||
\(267\) | −6.29344e6 | − | 5.05448e6i | −0.330639 | − | 0.265548i | ||||
\(268\) | −1.17667e7 | − | 2.03805e7i | −0.611292 | − | 1.05879i | ||||
\(269\) | 2.26546e7 | + | 1.30796e7i | 1.16386 | + | 0.671953i | 0.952225 | − | 0.305397i | \(-0.0987890\pi\) |
0.211631 | + | 0.977350i | \(0.432122\pi\) | |||||||
\(270\) | −2.20229e6 | + | 1.46833e6i | −0.111888 | + | 0.0745988i | ||||
\(271\) | 2.51433e6 | + | 4.35495e6i | 0.126332 | + | 0.218814i | 0.922253 | − | 0.386587i | \(-0.126346\pi\) |
−0.795921 | + | 0.605401i | \(0.793013\pi\) | |||||||
\(272\) | − | 3.05091e7i | − | 1.51608i | ||||||
\(273\) | −7.21714e6 | + | 7.68105e6i | −0.354713 | + | 0.377514i | ||||
\(274\) | 1.84954e6 | 0.0899107 | ||||||||
\(275\) | 7.40620e6 | − | 4.27597e6i | 0.356121 | − | 0.205606i | ||||
\(276\) | −2.02061e6 | + | 784996.i | −0.0961072 | + | 0.0373371i | ||||
\(277\) | 4.30305e6 | − | 7.45311e6i | 0.202459 | − | 0.350669i | −0.746861 | − | 0.664980i | \(-0.768440\pi\) |
0.949320 | + | 0.314311i | \(0.101773\pi\) | |||||||
\(278\) | 3.11043e6 | − | 1.79581e6i | 0.144773 | − | 0.0835846i | ||||
\(279\) | −2.55776e6 | − | 1.15739e7i | −0.117773 | − | 0.532927i | ||||
\(280\) | 3.29935e6 | − | 4.81005e6i | 0.150298 | − | 0.219117i | ||||
\(281\) | 1.88273e7i | 0.848535i | 0.905537 | + | 0.424268i | \(0.139468\pi\) | ||||
−0.905537 | + | 0.424268i | \(0.860532\pi\) | |||||||
\(282\) | −1.92752e6 | − | 297334.i | −0.0859513 | − | 0.0132586i | ||||
\(283\) | 2.47143e6 | − | 4.28064e6i | 0.109041 | − | 0.188864i | −0.806341 | − | 0.591451i | \(-0.798555\pi\) |
0.915382 | + | 0.402587i | \(0.131889\pi\) | |||||||
\(284\) | −6.39458e6 | − | 3.69191e6i | −0.279163 | − | 0.161175i | ||||
\(285\) | 2.88497e6 | − | 1.87023e7i | 0.124625 | − | 0.807906i | ||||
\(286\) | 3.09470e6 | 0.132288 | ||||||||
\(287\) | −3.05361e7 | + | 1.45995e7i | −1.29172 | + | 0.617578i | ||||
\(288\) | 1.05188e7 | − | 2.32458e6i | 0.440341 | − | 0.0973123i | ||||
\(289\) | 2.01261e7 | + | 3.48595e7i | 0.833810 | + | 1.44420i | ||||
\(290\) | −1.65720e6 | − | 956782.i | −0.0679485 | − | 0.0392301i | ||||
\(291\) | 5.27275e6 | + | 1.35723e7i | 0.213973 | + | 0.550775i | ||||
\(292\) | 213274. | + | 369402.i | 0.00856623 | + | 0.0148371i | ||||
\(293\) | 6.98437e6i | 0.277667i | 0.990316 | + | 0.138833i | \(0.0443353\pi\) | ||||
−0.990316 | + | 0.138833i | \(0.955665\pi\) | |||||||
\(294\) | 3.85500e6 | − | 843081.i | 0.151699 | − | 0.0331762i | ||||
\(295\) | −1.59388e7 | −0.620854 | ||||||||
\(296\) | 4.53232e6 | − | 2.61674e6i | 0.174762 | − | 0.100899i | ||||
\(297\) | −2.39005e7 | − | 3.58474e7i | −0.912300 | − | 1.36832i | ||||
\(298\) | −3.99978e6 | + | 6.92782e6i | −0.151143 | + | 0.261787i | ||||
\(299\) | 1.26697e6 | − | 731485.i | 0.0473972 | − | 0.0273648i | ||||
\(300\) | −4.12554e6 | + | 5.13679e6i | −0.152798 | + | 0.190252i | ||||
\(301\) | 9.19495e6 | + | 1.92321e7i | 0.337171 | + | 0.705223i | ||||
\(302\) | − | 3.02158e6i | − | 0.109702i | ||||||
\(303\) | −4.58389e6 | + | 2.97159e7i | −0.164781 | + | 1.06822i | ||||
\(304\) | −1.23084e7 | + | 2.13187e7i | −0.438107 | + | 0.758824i | ||||
\(305\) | −1.18931e6 | − | 686647.i | −0.0419174 | − | 0.0242010i | ||||
\(306\) | −5.36106e6 | + | 4.90591e6i | −0.187105 | + | 0.171220i | ||||
\(307\) | −5.40032e7 | −1.86640 | −0.933200 | − | 0.359358i | \(-0.882996\pi\) | ||||
−0.933200 | + | 0.359358i | \(0.882996\pi\) | |||||||
\(308\) | 3.86697e7 | + | 2.65246e7i | 1.32348 | + | 0.907814i | ||||
\(309\) | −6.40339e6 | + | 7.97299e6i | −0.217037 | + | 0.270238i | ||||
\(310\) | −1.09326e6 | − | 1.89358e6i | −0.0366976 | − | 0.0635622i | ||||
\(311\) | −3.38850e7 | − | 1.95635e7i | −1.12649 | − | 0.650378i | −0.183438 | − | 0.983031i | \(-0.558723\pi\) |
−0.943049 | + | 0.332654i | \(0.892056\pi\) | |||||||
\(312\) | −4.49957e6 | + | 1.74805e6i | −0.148152 | + | 0.0575560i | ||||
\(313\) | −9.68249e6 | − | 1.67706e7i | −0.315758 | − | 0.546908i | 0.663841 | − | 0.747874i | \(-0.268925\pi\) |
−0.979598 | + | 0.200966i | \(0.935592\pi\) | |||||||
\(314\) | 4.66096e6i | 0.150552i | ||||||||
\(315\) | 2.68032e7 | − | 3.77381e6i | 0.857542 | − | 0.120739i | ||||
\(316\) | 2.29456e7 | 0.727175 | ||||||||
\(317\) | −2.95640e7 | + | 1.70688e7i | −0.928081 | + | 0.535828i | −0.886204 | − | 0.463295i | \(-0.846667\pi\) |
−0.0418770 | + | 0.999123i | \(0.513334\pi\) | |||||||
\(318\) | 2.20416e6 | + | 5.67361e6i | 0.0685429 | + | 0.176432i | ||||
\(319\) | 1.55739e7 | − | 2.69748e7i | 0.479761 | − | 0.830970i | ||||
\(320\) | −2.10909e7 | + | 1.21768e7i | −0.643642 | + | 0.371607i | ||||
\(321\) | 2.19759e7 | + | 1.76496e7i | 0.664402 | + | 0.533604i | ||||
\(322\) | −546093. | − | 42473.0i | −0.0163568 | − | 0.00127217i | ||||
\(323\) | − | 5.19540e7i | − | 1.54174i | ||||||
\(324\) | 2.71639e7 | + | 1.90746e7i | 0.798650 | + | 0.560815i | ||||
\(325\) | 2.22319e6 | − | 3.85068e6i | 0.0647629 | − | 0.112173i | ||||
\(326\) | 7.46710e6 | + | 4.31113e6i | 0.215526 | + | 0.124434i | ||||
\(327\) | 5.03619e7 | + | 7.76868e6i | 1.44032 | + | 0.222179i | ||||
\(328\) | −1.55018e7 | −0.439299 | ||||||||
\(329\) | 1.64470e7 | + | 1.12815e7i | 0.461848 | + | 0.316794i | ||||
\(330\) | −6.19659e6 | − | 4.97670e6i | −0.172429 | − | 0.138484i | ||||
\(331\) | −1.35129e7 | − | 2.34050e7i | −0.372618 | − | 0.645393i | 0.617350 | − | 0.786689i | \(-0.288206\pi\) |
−0.989967 | + | 0.141296i | \(0.954873\pi\) | |||||||
\(332\) | −1.81804e7 | − | 1.04965e7i | −0.496809 | − | 0.286833i | ||||
\(333\) | 2.31572e7 | + | 7.31847e6i | 0.627124 | + | 0.198193i | ||||
\(334\) | −2.57907e6 | − | 4.46708e6i | −0.0692187 | − | 0.119890i | ||||
\(335\) | − | 4.07880e7i | − | 1.08492i | ||||||
\(336\) | −3.42784e7 | − | 8.05032e6i | −0.903656 | − | 0.212224i | ||||
\(337\) | −1.37671e7 | −0.359710 | −0.179855 | − | 0.983693i | \(-0.557563\pi\) | ||||
−0.179855 | + | 0.983693i | \(0.557563\pi\) | |||||||
\(338\) | −3.79943e6 | + | 2.19360e6i | −0.0983940 | + | 0.0568078i | ||||
\(339\) | −1.06883e7 | + | 4.15233e6i | −0.274353 | + | 0.106584i | ||||
\(340\) | 2.71260e7 | − | 4.69837e7i | 0.690160 | − | 1.19539i | ||||
\(341\) | 3.08225e7 | − | 1.77954e7i | 0.777328 | − | 0.448791i | ||||
\(342\) | 5.72534e6 | − | 1.26526e6i | 0.143127 | − | 0.0316301i | ||||
\(343\) | −3.92645e7 | − | 9.31205e6i | −0.973010 | − | 0.230761i | ||||
\(344\) | 9.76324e6i | 0.239838i | ||||||||
\(345\) | −3.71321e6 | − | 572789.i | −0.0904258 | − | 0.0139488i | ||||
\(346\) | −218277. | + | 378067.i | −0.00526963 | + | 0.00912727i | ||||
\(347\) | 7.20769e7 | + | 4.16136e7i | 1.72507 | + | 0.995972i | 0.907371 | + | 0.420331i | \(0.138086\pi\) |
0.817703 | + | 0.575641i | \(0.195247\pi\) | |||||||
\(348\) | −3.65830e6 | + | 2.37156e7i | −0.0868043 | + | 0.562725i | ||||
\(349\) | −5.05729e7 | −1.18971 | −0.594856 | − | 0.803832i | \(-0.702791\pi\) | ||||
−0.594856 | + | 0.803832i | \(0.702791\pi\) | |||||||
\(350\) | −1.50191e6 | + | 718072.i | −0.0350300 | + | 0.0167480i | ||||
\(351\) | −2.00807e7 | − | 9.92775e6i | −0.464362 | − | 0.229578i | ||||
\(352\) | 1.61731e7 | + | 2.80126e7i | 0.370821 | + | 0.642282i | ||||
\(353\) | 2.61384e7 | + | 1.50910e7i | 0.594231 | + | 0.343079i | 0.766769 | − | 0.641923i | \(-0.221863\pi\) |
−0.172538 | + | 0.985003i | \(0.555197\pi\) | |||||||
\(354\) | −1.78842e6 | − | 4.60347e6i | −0.0403143 | − | 0.103771i | ||||
\(355\) | −6.39883e6 | − | 1.10831e7i | −0.143026 | − | 0.247728i | ||||
\(356\) | 1.86720e7i | 0.413847i | ||||||||
\(357\) | 7.11478e7 | − | 2.14585e7i | 1.56371 | − | 0.471622i | ||||
\(358\) | 3.63731e6 | 0.0792741 | ||||||||
\(359\) | −2.88160e7 | + | 1.66369e7i | −0.622802 | + | 0.359575i | −0.777959 | − | 0.628315i | \(-0.783745\pi\) |
0.155157 | + | 0.987890i | \(0.450412\pi\) | |||||||
\(360\) | 1.18207e7 | + | 3.73575e6i | 0.253359 | + | 0.0800700i | ||||
\(361\) | 2.56300e6 | − | 4.43924e6i | 0.0544787 | − | 0.0943599i | ||||
\(362\) | 6.09287e6 | − | 3.51772e6i | 0.128439 | − | 0.0741542i | ||||
\(363\) | 5.10557e7 | − | 6.35705e7i | 1.06739 | − | 1.32903i | ||||
\(364\) | 2.43072e7 | + | 1.89052e6i | 0.504000 | + | 0.0391993i | ||||
\(365\) | 739293.i | 0.0152033i | ||||||||
\(366\) | 64871.7 | − | 420543.i | 0.00132316 | − | 0.00857762i | ||||
\(367\) | −1.93272e7 | + | 3.34757e7i | −0.390995 | + | 0.677223i | −0.992581 | − | 0.121585i | \(-0.961202\pi\) |
0.601586 | + | 0.798808i | \(0.294536\pi\) | |||||||
\(368\) | 4.23268e6 | + | 2.44374e6i | 0.0849322 | + | 0.0490356i | ||||
\(369\) | −4.85642e7 | − | 5.30697e7i | −0.966578 | − | 1.05625i | ||||
\(370\) | 4.47998e6 | 0.0884446 | ||||||||
\(371\) | 4.82652e6 | − | 6.20564e7i | 0.0945175 | − | 1.21525i | ||||
\(372\) | −1.71693e7 | + | 2.13779e7i | −0.333522 | + | 0.415275i | ||||
\(373\) | 9.17475e6 | + | 1.58911e7i | 0.176794 | + | 0.306216i | 0.940781 | − | 0.339016i | \(-0.110094\pi\) |
−0.763987 | + | 0.645232i | \(0.776761\pi\) | |||||||
\(374\) | −1.88967e7 | − | 1.09100e7i | −0.361220 | − | 0.208550i | ||||
\(375\) | −5.32124e7 | + | 2.06727e7i | −1.00907 | + | 0.392015i | ||||
\(376\) | 4.56725e6 | + | 7.91071e6i | 0.0859194 | + | 0.148817i | ||||
\(377\) | − | 1.61945e7i | − | 0.302235i | ||||||
\(378\) | 4.09742e6 | + | 7.31791e6i | 0.0758639 | + | 0.135491i | ||||
\(379\) | 2.88594e7 | 0.530115 | 0.265058 | − | 0.964233i | \(-0.414609\pi\) | ||||
0.265058 | + | 0.964233i | \(0.414609\pi\) | |||||||
\(380\) | −3.79095e7 | + | 2.18871e7i | −0.690872 | + | 0.398875i | ||||
\(381\) | 8.87480e6 | + | 2.28441e7i | 0.160466 | + | 0.413047i | ||||
\(382\) | 6.59479e6 | − | 1.14225e7i | 0.118307 | − | 0.204914i | ||||
\(383\) | −5.55908e7 | + | 3.20953e7i | −0.989478 | + | 0.571276i | −0.905118 | − | 0.425160i | \(-0.860218\pi\) |
−0.0843599 | + | 0.996435i | \(0.526885\pi\) | |||||||
\(384\) | −2.57925e7 | − | 2.07148e7i | −0.455512 | − | 0.365837i | ||||
\(385\) | 3.50568e7 | + | 7.33245e7i | 0.614314 | + | 1.28489i | ||||
\(386\) | 1.30504e7i | 0.226915i | ||||||||
\(387\) | −3.34240e7 | + | 3.05864e7i | −0.576668 | + | 0.527710i | ||||
\(388\) | 1.68408e7 | − | 2.91691e7i | 0.288315 | − | 0.499377i | ||||
\(389\) | −6.23015e7 | − | 3.59698e7i | −1.05840 | − | 0.611068i | −0.133411 | − | 0.991061i | \(-0.542593\pi\) |
−0.924989 | + | 0.379993i | \(0.875926\pi\) | |||||||
\(390\) | −4.08389e6 | − | 629969.i | −0.0688462 | − | 0.0106200i | ||||
\(391\) | −1.03151e7 | −0.172561 | ||||||||
\(392\) | −1.43845e7 | − | 1.16046e7i | −0.238802 | − | 0.192652i | ||||
\(393\) | −1.61493e7 | − | 1.29700e7i | −0.266057 | − | 0.213680i | ||||
\(394\) | −8.42410e6 | − | 1.45910e7i | −0.137732 | − | 0.238559i | ||||
\(395\) | 3.44413e7 | + | 1.98847e7i | 0.558841 | + | 0.322647i | ||||
\(396\) | −3.00330e7 | + | 9.50308e7i | −0.483630 | + | 1.53031i | ||||
\(397\) | 2.95904e7 | + | 5.12520e7i | 0.472910 | + | 0.819105i | 0.999519 | − | 0.0310029i | \(-0.00987010\pi\) |
−0.526609 | + | 0.850108i | \(0.676537\pi\) | |||||||
\(398\) | − | 8.28338e6i | − | 0.131389i | ||||||
\(399\) | −5.83727e7 | − | 1.37089e7i | −0.918948 | − | 0.215816i | ||||
\(400\) | 1.48544e7 | 0.232101 | ||||||||
\(401\) | 2.30420e7 | − | 1.33033e7i | 0.357345 | − | 0.206313i | −0.310571 | − | 0.950550i | \(-0.600520\pi\) |
0.667915 | + | 0.744237i | \(0.267187\pi\) | |||||||
\(402\) | 1.17804e7 | − | 4.57663e6i | 0.181336 | − | 0.0704478i | ||||
\(403\) | 9.25227e6 | − | 1.60254e7i | 0.141362 | − | 0.244847i | ||||
\(404\) | 6.02341e7 | − | 3.47762e7i | 0.913478 | − | 0.527397i | ||||
\(405\) | 2.42428e7 | + | 5.21710e7i | 0.364937 | + | 0.785352i | ||||
\(406\) | −3.42969e6 | + | 5.00008e6i | −0.0512480 | + | 0.0747135i | ||||
\(407\) | 7.29223e7i | 1.08163i | ||||||||
\(408\) | 3.36376e7 | + | 5.18885e6i | 0.495274 | + | 0.0763995i | ||||
\(409\) | −5.28985e6 | + | 9.16229e6i | −0.0773167 | + | 0.133917i | −0.902091 | − | 0.431545i | \(-0.857969\pi\) |
0.824775 | + | 0.565462i | \(0.191302\pi\) | |||||||
\(410\) | −1.14921e7 | − | 6.63495e6i | −0.166743 | − | 0.0962690i | ||||
\(411\) | 6.12841e6 | − | 3.97285e7i | 0.0882719 | − | 0.572239i | ||||
\(412\) | 2.36550e7 | 0.338245 | ||||||||
\(413\) | −3.91615e6 | + | 5.03515e7i | −0.0555916 | + | 0.714763i | ||||
\(414\) | −251208. | − | 1.13672e6i | −0.00354024 | − | 0.0160197i | ||||
\(415\) | −1.81925e7 | − | 3.15103e7i | −0.254535 | − | 0.440868i | ||||
\(416\) | 1.45645e7 | + | 8.40881e6i | 0.202309 | + | 0.116803i | ||||
\(417\) | −2.82681e7 | − | 7.27633e7i | −0.389842 | − | 1.00347i | ||||
\(418\) | 8.80293e6 | + | 1.52471e7i | 0.120531 | + | 0.208766i | ||||
\(419\) | − | 6.08521e6i | − | 0.0827244i | −0.999144 | − | 0.0413622i | \(-0.986830\pi\) | ||
0.999144 | − | 0.0413622i | \(-0.0131698\pi\) | |||||||
\(420\) | −4.56307e7 | − | 4.28747e7i | −0.615899 | − | 0.578700i | ||||
\(421\) | 8.73524e7 | 1.17065 | 0.585327 | − | 0.810797i | \(-0.300966\pi\) | ||||
0.585327 | + | 0.810797i | \(0.300966\pi\) | |||||||
\(422\) | −4.77990e6 | + | 2.75968e6i | −0.0636036 | + | 0.0367216i | ||||
\(423\) | −1.27736e7 | + | 4.04185e7i | −0.168769 | + | 0.534022i | ||||
\(424\) | 1.42538e7 | − | 2.46884e7i | 0.186997 | − | 0.323888i | ||||
\(425\) | −2.71503e7 | + | 1.56752e7i | −0.353678 | + | 0.204196i | ||||
\(426\) | 2.48305e6 | − | 3.09170e6i | 0.0321186 | − | 0.0399916i | ||||
\(427\) | −2.46136e6 | + | 3.58837e6i | −0.0316149 | + | 0.0460908i | ||||
\(428\) | − | 6.52000e7i | − | 0.831604i | ||||||
\(429\) | 1.02542e7 | − | 6.64749e7i | 0.129877 | − | 0.841949i | ||||
\(430\) | −4.17879e6 | + | 7.23787e6i | −0.0525587 | + | 0.0910344i | ||||
\(431\) | −5.46582e6 | − | 3.15569e6i | −0.0682690 | − | 0.0394151i | 0.465477 | − | 0.885060i | \(-0.345883\pi\) |
−0.533746 | + | 0.845645i | \(0.679216\pi\) | |||||||
\(432\) | −4.81960e6 | − | 7.46810e7i | −0.0597805 | − | 0.926315i | ||||
\(433\) | −9.75057e7 | −1.20107 | −0.600533 | − | 0.799600i | \(-0.705045\pi\) | ||||
−0.600533 | + | 0.799600i | \(0.705045\pi\) | |||||||
\(434\) | −6.25053e6 | + | 2.98841e6i | −0.0764623 | + | 0.0365570i | ||||
\(435\) | −2.60430e7 | + | 3.24267e7i | −0.316391 | + | 0.393945i | ||||
\(436\) | −5.89378e7 | − | 1.02083e8i | −0.711106 | − | 1.23167i | ||||
\(437\) | 7.20783e6 | + | 4.16144e6i | 0.0863695 | + | 0.0498655i | ||||
\(438\) | −213524. | + | 82952.6i | −0.00254111 | + | 0.000987206i | ||||
\(439\) | 6.34165e7 | + | 1.09841e8i | 0.749564 | + | 1.29828i | 0.948032 | + | 0.318175i | \(0.103070\pi\) |
−0.198468 | + | 0.980107i | \(0.563597\pi\) | |||||||
\(440\) | 3.72235e7i | 0.436978i | ||||||||
\(441\) | −5.33612e6 | − | 8.56000e7i | −0.0622171 | − | 0.998063i | ||||
\(442\) | −1.13448e7 | −0.131380 | ||||||||
\(443\) | 1.43914e8 | − | 8.30887e7i | 1.65536 | − | 0.955721i | 0.680541 | − | 0.732710i | \(-0.261745\pi\) |
0.974816 | − | 0.223010i | \(-0.0715883\pi\) | |||||||
\(444\) | −2.03439e7 | − | 5.23661e7i | −0.232426 | − | 0.598275i | ||||
\(445\) | −1.61811e7 | + | 2.80265e7i | −0.183624 | + | 0.318045i | ||||
\(446\) | 1.94609e7 | − | 1.12358e7i | 0.219361 | − | 0.126648i | ||||
\(447\) | 1.35558e8 | + | 1.08872e8i | 1.51776 | + | 1.21897i | ||||
\(448\) | 3.32851e7 | + | 6.96189e7i | 0.370183 | + | 0.774271i | ||||
\(449\) | − | 6.29169e7i | − | 0.695069i | −0.937667 | − | 0.347535i | \(-0.887019\pi\) | ||
0.937667 | − | 0.347535i | \(-0.112981\pi\) | |||||||
\(450\) | −2.38862e6 | − | 2.61022e6i | −0.0262125 | − | 0.0286444i | ||||
\(451\) | 1.07999e8 | − | 1.87061e8i | 1.17731 | − | 2.03917i | ||||
\(452\) | 2.29709e7 | + | 1.32623e7i | 0.248750 | + | 0.143616i | ||||
\(453\) | −6.49042e7 | − | 1.00119e7i | −0.698198 | − | 0.107702i | ||||
\(454\) | 1.25774e6 | 0.0134407 | ||||||||
\(455\) | 3.48467e7 | + | 2.39023e7i | 0.369936 | + | 0.253750i | ||||
\(456\) | −2.14115e7 | − | 1.71963e7i | −0.225815 | − | 0.181360i | ||||
\(457\) | 8.96767e6 | + | 1.55325e7i | 0.0939574 | + | 0.162739i | 0.909173 | − | 0.416419i | \(-0.136715\pi\) |
−0.815216 | + | 0.579158i | \(0.803382\pi\) | |||||||
\(458\) | 1.62153e7 | + | 9.36192e6i | 0.168783 | + | 0.0974470i | ||||
\(459\) | 8.76166e7 | + | 1.31413e8i | 0.906042 | + | 1.35894i | ||||
\(460\) | 4.34552e6 | + | 7.52666e6i | 0.0446445 | + | 0.0773266i | ||||
\(461\) | 1.43451e8i | 1.46420i | 0.681197 | + | 0.732101i | \(0.261460\pi\) | ||||
−0.681197 | + | 0.732101i | \(0.738540\pi\) | |||||||
\(462\) | −1.72441e7 | + | 1.83526e7i | −0.174870 | + | 0.186110i | ||||
\(463\) | −4.94176e7 | −0.497896 | −0.248948 | − | 0.968517i | \(-0.580085\pi\) | ||||
−0.248948 | + | 0.968517i | \(0.580085\pi\) | |||||||
\(464\) | 4.68543e7 | − | 2.70513e7i | 0.469024 | − | 0.270791i | ||||
\(465\) | −4.42971e7 | + | 1.72091e7i | −0.440571 | + | 0.171159i | ||||
\(466\) | −4.91014e6 | + | 8.50461e6i | −0.0485217 | + | 0.0840420i | ||||
\(467\) | −9.64861e7 | + | 5.57062e7i | −0.947358 | + | 0.546957i | −0.892259 | − | 0.451524i | \(-0.850881\pi\) |
−0.0550984 | + | 0.998481i | \(0.517547\pi\) | |||||||
\(468\) | 1.11816e7 | + | 5.05969e7i | 0.109085 | + | 0.493613i | ||||
\(469\) | −1.28851e8 | − | 1.00216e7i | −1.24902 | − | 0.0971442i | ||||
\(470\) | 7.81935e6i | 0.0753142i | ||||||||
\(471\) | 1.00119e8 | + | 1.54440e7i | 0.958191 | + | 0.147808i | ||||
\(472\) | −1.15653e7 | + | 2.00317e7i | −0.109984 | + | 0.190499i | ||||
\(473\) | −1.17813e8 | − | 6.80196e7i | −1.11330 | − | 0.642762i | ||||
\(474\) | −1.87863e6 | + | 1.21786e7i | −0.0176403 | + | 0.114356i | ||||
\(475\) | 2.52956e7 | 0.236028 | ||||||||
\(476\) | −1.41759e8 | − | 9.72363e7i | −1.31441 | − | 0.901587i | ||||
\(477\) | 1.29174e8 | − | 2.85466e7i | 1.19020 | − | 0.263026i | ||||
\(478\) | 852321. | + | 1.47626e6i | 0.00780404 | + | 0.0135170i | ||||
\(479\) | −1.19248e8 | − | 6.88476e7i | −1.08503 | − | 0.626444i | −0.152783 | − | 0.988260i | \(-0.548824\pi\) |
−0.932250 | + | 0.361816i | \(0.882157\pi\) | |||||||
\(480\) | −1.56403e7 | − | 4.02588e7i | −0.141424 | − | 0.364030i | ||||
\(481\) | 1.89571e7 | + | 3.28347e7i | 0.170348 | + | 0.295051i | ||||
\(482\) | − | 2.41816e7i | − | 0.215945i | ||||||
\(483\) | −2.72180e6 | + | 1.15895e7i | −0.0241554 | + | 0.102854i | ||||
\(484\) | −1.88607e8 | −1.66350 | ||||||||
\(485\) | 5.05559e7 | − | 2.91885e7i | 0.443146 | − | 0.255851i | ||||
\(486\) | −1.23479e7 | + | 1.28557e7i | −0.107569 | + | 0.111992i | ||||
\(487\) | −5.85868e6 | + | 1.01475e7i | −0.0507239 | + | 0.0878564i | −0.890273 | − | 0.455428i | \(-0.849486\pi\) |
0.839549 | + | 0.543285i | \(0.182820\pi\) | |||||||
\(488\) | −1.72594e6 | + | 996472.i | −0.0148514 | + | 0.00857444i | ||||
\(489\) | 1.17346e8 | − | 1.46110e8i | 1.00356 | − | 1.24955i | ||||
\(490\) | −5.69690e6 | − | 1.47597e7i | −0.0484229 | − | 0.125456i | ||||
\(491\) | 1.29319e8i | 1.09249i | 0.837624 | + | 0.546247i | \(0.183944\pi\) | ||||
−0.837624 | + | 0.546247i | \(0.816056\pi\) | |||||||
\(492\) | −2.53690e7 | + | 1.64459e8i | −0.213014 | + | 1.38090i | ||||
\(493\) | −5.70921e7 | + | 9.88864e7i | −0.476470 | + | 0.825270i | ||||
\(494\) | 7.92737e6 | + | 4.57687e6i | 0.0657580 | + | 0.0379654i | ||||
\(495\) | −1.27433e8 | + | 1.16614e8i | −1.05067 | + | 0.961470i | ||||
\(496\) | 6.18199e7 | 0.506621 | ||||||||
\(497\) | −3.65842e7 | + | 1.74911e7i | −0.298006 | + | 0.142478i | ||||
\(498\) | 7.05955e6 | − | 8.79000e6i | 0.0571596 | − | 0.0711706i | ||||
\(499\) | −8.86317e7 | − | 1.53515e8i | −0.713325 | − | 1.23552i | −0.963602 | − | 0.267341i | \(-0.913855\pi\) |
0.250277 | − | 0.968174i | \(-0.419478\pi\) | |||||||
\(500\) | 1.14362e8 | + | 6.60272e7i | 0.914899 | + | 0.528217i | ||||
\(501\) | −1.04500e8 | + | 4.05975e7i | −0.831002 | + | 0.322839i | ||||
\(502\) | 6.41330e6 | + | 1.11082e7i | 0.0506956 | + | 0.0878074i | ||||
\(503\) | 8.30280e6i | 0.0652410i | 0.999468 | + | 0.0326205i | \(0.0103853\pi\) | ||||
−0.999468 | + | 0.0326205i | \(0.989615\pi\) | |||||||
\(504\) | 1.47057e7 | − | 3.64243e7i | 0.114867 | − | 0.284511i | ||||
\(505\) | 1.20548e8 | 0.936022 | ||||||||
\(506\) | 3.02720e6 | − | 1.74776e6i | 0.0233663 | − | 0.0134905i | ||||
\(507\) | 3.45298e7 | + | 8.88813e7i | 0.264954 | + | 0.682003i | ||||
\(508\) | 2.83455e7 | − | 4.90959e7i | 0.216219 | − | 0.374502i | ||||
\(509\) | 1.01513e8 | − | 5.86088e7i | 0.769786 | − | 0.444436i | −0.0630124 | − | 0.998013i | \(-0.520071\pi\) |
0.832798 | + | 0.553577i | \(0.186737\pi\) | |||||||
\(510\) | 2.27160e7 | + | 1.82440e7i | 0.171246 | + | 0.137534i | ||||
\(511\) | 2.33546e6 | + | 181644.i | 0.0175029 | + | 0.00136131i | ||||
\(512\) | 9.44104e7i | 0.703412i | ||||||||
\(513\) | −8.20729e6 | − | 1.27174e8i | −0.0607922 | − | 0.941991i | ||||
\(514\) | 1.17902e7 | − | 2.04212e7i | 0.0868224 | − | 0.150381i | ||||
\(515\) | 3.55061e7 | + | 2.04994e7i | 0.259945 | + | 0.150079i | ||||
\(516\) | 1.03579e8 | + | 1.59778e7i | 0.753914 | + | 0.116297i | ||||
\(517\) | −1.27278e8 | −0.921049 | ||||||||
\(518\) | 1.10073e6 | − | 1.41525e7i | 0.00791937 | − | 0.101822i | ||||
\(519\) | 7.39773e6 | + | 5.94137e6i | 0.0529171 | + | 0.0424996i | ||||
\(520\) | 9.67674e6 | + | 1.67606e7i | 0.0688207 | + | 0.119201i | ||||
\(521\) | −5.22388e6 | − | 3.01601e6i | −0.0369386 | − | 0.0213265i | 0.481417 | − | 0.876492i | \(-0.340122\pi\) |
−0.518356 | + | 0.855165i | \(0.673456\pi\) | |||||||
\(522\) | −1.22877e7 | − | 3.88333e6i | −0.0863891 | − | 0.0273019i | ||||
\(523\) | −6.69438e7 | − | 1.15950e8i | −0.467956 | − | 0.810524i | 0.531374 | − | 0.847138i | \(-0.321676\pi\) |
−0.999329 | + | 0.0366141i | \(0.988343\pi\) | |||||||
\(524\) | 4.79132e7i | 0.333013i | ||||||||
\(525\) | 1.04478e7 | + | 3.46408e7i | 0.0722017 | + | 0.239392i | ||||
\(526\) | −8.85172e6 | −0.0608234 | ||||||||
\(527\) | −1.12992e8 | + | 6.52358e7i | −0.771996 | + | 0.445712i | ||||
\(528\) | 2.09455e8 | − | 8.13719e7i | 1.42295 | − | 0.552806i | ||||
\(529\) | −7.31917e7 | + | 1.26772e8i | −0.494419 | + | 0.856358i | ||||
\(530\) | 2.11339e7 | − | 1.22016e7i | 0.141955 | − | 0.0819578i | ||||
\(531\) | −1.04810e8 | + | 2.31622e7i | −0.700031 | + | 0.154702i | ||||
\(532\) | 5.98280e7 | + | 1.25136e8i | 0.397347 | + | 0.831086i | ||||
\(533\) | − | 1.12304e8i | − | 0.741672i | ||||||
\(534\) | −9.91026e6 | − | 1.52873e6i | −0.0650821 | − | 0.0100394i | ||||
\(535\) | 5.65024e7 | − | 9.78650e7i | 0.368982 | − | 0.639096i | ||||
\(536\) | −5.12618e7 | − | 2.95960e7i | −0.332889 | − | 0.192194i | ||||
\(537\) | 1.20522e7 | − | 7.81303e7i | 0.0778291 | − | 0.504541i | ||||
\(538\) | 3.24970e7 | 0.208688 | ||||||||
\(539\) | 2.40249e8 | − | 9.27305e7i | 1.53425 | − | 0.592183i | ||||
\(540\) | 5.89776e7 | − | 1.19293e8i | 0.374547 | − | 0.757588i | ||||
\(541\) | 1.20863e7 | + | 2.09341e7i | 0.0763313 | + | 0.132210i | 0.901664 | − | 0.432436i | \(-0.142346\pi\) |
−0.825333 | + | 0.564646i | \(0.809013\pi\) | |||||||
\(542\) | 5.41004e6 | + | 3.12349e6i | 0.0339784 | + | 0.0196174i | ||||
\(543\) | −5.53729e7 | − | 1.42532e8i | −0.345858 | − | 0.890254i | ||||
\(544\) | −5.92887e7 | − | 1.02691e8i | −0.368278 | − | 0.637876i | ||||
\(545\) | − | 2.04302e8i | − | 1.26207i | ||||||
\(546\) | −2.99351e6 | + | 1.27464e7i | −0.0183909 | + | 0.0783088i | ||||
\(547\) | 1.31155e8 | 0.801351 | 0.400676 | − | 0.916220i | \(-0.368775\pi\) | ||||
0.400676 | + | 0.916220i | \(0.368775\pi\) | |||||||
\(548\) | −8.05296e7 | + | 4.64938e7i | −0.489343 | + | 0.282523i | ||||
\(549\) | −8.81842e6 | − | 2.78692e6i | −0.0532934 | − | 0.0168426i | ||||
\(550\) | 5.31193e6 | − | 9.20053e6i | 0.0319274 | − | 0.0553000i | ||||
\(551\) | 7.97881e7 | − | 4.60657e7i | 0.476961 | − | 0.275374i | ||||
\(552\) | −3.41421e6 | + | 4.25110e6i | −0.0202989 | + | 0.0252746i | ||||
\(553\) | 7.12789e7 | − | 1.03916e8i | 0.421489 | − | 0.614480i | ||||
\(554\) | − | 1.06911e7i | − | 0.0628775i | ||||||
\(555\) | 1.48444e7 | − | 9.62312e7i | 0.0868325 | − | 0.562908i | ||||
\(556\) | −9.02864e7 | + | 1.56381e8i | −0.525289 | + | 0.909826i | ||||
\(557\) | 7.49781e7 | + | 4.32886e7i | 0.433879 | + | 0.250500i | 0.700998 | − | 0.713163i | \(-0.252738\pi\) |
−0.267119 | + | 0.963664i | \(0.586072\pi\) | |||||||
\(558\) | −9.94074e6 | − | 1.08630e7i | −0.0572158 | − | 0.0625240i | ||||
\(559\) | −7.07303e7 | −0.404921 | ||||||||
\(560\) | −1.09466e7 | + | 1.40745e8i | −0.0623328 | + | 0.801437i | ||||
\(561\) | −2.96964e8 | + | 3.69756e8i | −1.68196 | + | 2.09424i | ||||
\(562\) | 1.16944e7 | + | 2.02552e7i | 0.0658821 | + | 0.114111i | ||||
\(563\) | 5.53262e7 | + | 3.19426e7i | 0.310031 | + | 0.178997i | 0.646941 | − | 0.762540i | \(-0.276048\pi\) |
−0.336909 | + | 0.941537i | \(0.609382\pi\) | |||||||
\(564\) | 9.13996e7 | − | 3.55082e7i | 0.509456 | − | 0.197921i | ||||
\(565\) | 2.29862e7 | + | 3.98132e7i | 0.127445 | + | 0.220740i | ||||
\(566\) | − | 6.14038e6i | − | 0.0338646i | ||||||
\(567\) | 1.70767e8 | − | 6.37659e7i | 0.936818 | − | 0.349816i | ||||
\(568\) | −1.85721e7 | −0.101348 | ||||||||
\(569\) | −5.60028e7 | + | 3.23332e7i | −0.303999 | + | 0.175514i | −0.644238 | − | 0.764825i | \(-0.722825\pi\) |
0.340239 | + | 0.940339i | \(0.389492\pi\) | |||||||
\(570\) | −8.51294e6 | − | 2.19127e7i | −0.0459679 | − | 0.118323i | ||||
\(571\) | 1.59059e8 | − | 2.75498e8i | 0.854377 | − | 1.47982i | −0.0228445 | − | 0.999739i | \(-0.507272\pi\) |
0.877222 | − | 0.480086i | \(-0.159394\pi\) | |||||||
\(572\) | −1.34744e8 | + | 7.77947e7i | −0.719983 | + | 0.415683i | ||||
\(573\) | −2.23507e8 | − | 1.79506e8i | −1.18803 | − | 0.954147i | ||||
\(574\) | −2.37837e7 | + | 3.46738e7i | −0.125761 | + | 0.183344i | ||||
\(575\) | − | 5.02226e6i | − | 0.0264177i | ||||||
\(576\) | −1.20993e8 | + | 1.10721e8i | −0.633129 | + | 0.579378i | ||||
\(577\) | −3.45345e7 | + | 5.98155e7i | −0.179774 | + | 0.311377i | −0.941803 | − | 0.336166i | \(-0.890870\pi\) |
0.762029 | + | 0.647542i | \(0.224203\pi\) | |||||||
\(578\) | 4.33051e7 | + | 2.50022e7i | 0.224262 | + | 0.129478i | ||||
\(579\) | 2.80327e8 | + | 4.32424e7i | 1.44421 | + | 0.222779i | ||||
\(580\) | 9.62066e7 | 0.493084 | ||||||||
\(581\) | −1.04012e8 | + | 4.97289e7i | −0.530343 | + | 0.253560i | ||||
\(582\) | 1.41029e7 | + | 1.13265e7i | 0.0715385 | + | 0.0574550i | ||||
\(583\) | 1.98610e8 | + | 3.44003e8i | 1.00230 | + | 1.73603i | ||||
\(584\) | 929135. | + | 536436.i | 0.00466488 | + | 0.00269327i | ||||
\(585\) | −2.70638e7 | + | 8.56356e7i | −0.135183 | + | 0.427747i | ||||
\(586\) | 4.33825e6 | + | 7.51407e6i | 0.0215587 | + | 0.0373407i | ||||
\(587\) | 1.92773e7i | 0.0953085i | 0.998864 | + | 0.0476543i | \(0.0151746\pi\) | ||||
−0.998864 | + | 0.0476543i | \(0.984825\pi\) | |||||||
\(588\) | −1.46655e8 | + | 1.33615e8i | −0.721381 | + | 0.657240i | ||||
\(589\) | 1.05273e8 | 0.515195 | ||||||||
\(590\) | −1.71476e7 | + | 9.90019e6i | −0.0834926 | + | 0.0482045i | ||||
\(591\) | −3.41331e8 | + | 1.32605e8i | −1.65353 | + | 0.642388i | ||||
\(592\) | −6.33318e7 | + | 1.09694e8i | −0.305251 | + | 0.528710i | ||||
\(593\) | −1.49484e8 | + | 8.63049e7i | −0.716856 | + | 0.413877i | −0.813594 | − | 0.581433i | \(-0.802492\pi\) |
0.0967384 | + | 0.995310i | \(0.469159\pi\) | |||||||
\(594\) | −4.79793e7 | − | 2.37207e7i | −0.228926 | − | 0.113179i | ||||
\(595\) | −1.28514e8 | − | 2.68800e8i | −0.610100 | − | 1.27608i | ||||
\(596\) | − | 4.02187e8i | − | 1.89972i | ||||||
\(597\) | −1.77929e8 | − | 2.74468e7i | −0.836227 | − | 0.128994i | ||||
\(598\) | 908705. | − | 1.57392e6i | 0.00424932 | − | 0.00736004i | ||||
\(599\) | 1.36708e8 | + | 7.89282e7i | 0.636081 | + | 0.367242i | 0.783103 | − | 0.621892i | \(-0.213636\pi\) |
−0.147022 | + | 0.989133i | \(0.546969\pi\) | |||||||
\(600\) | −2.52637e6 | + | 1.63777e7i | −0.0116962 | + | 0.0758225i | ||||
\(601\) | 2.47655e8 | 1.14084 | 0.570419 | − | 0.821354i | \(-0.306781\pi\) | ||||
0.570419 | + | 0.821354i | \(0.306781\pi\) | |||||||
\(602\) | 2.18381e7 | + | 1.49793e7i | 0.100098 | + | 0.0686599i | ||||
\(603\) | −5.92728e7 | − | 2.68211e8i | −0.270336 | − | 1.22328i | ||||
\(604\) | 7.59566e7 | + | 1.31561e8i | 0.344710 | + | 0.597056i | ||||
\(605\) | −2.83098e8 | − | 1.63447e8i | −1.27841 | − | 0.738091i | ||||
\(606\) | 1.35261e7 | + | 3.48169e7i | 0.0607793 | + | 0.156449i | ||||
\(607\) | 2.35808e7 | + | 4.08432e7i | 0.105437 | + | 0.182622i | 0.913917 | − | 0.405902i | \(-0.133043\pi\) |
−0.808480 | + | 0.588524i | \(0.799709\pi\) | |||||||
\(608\) | 9.56761e7i | 0.425689i | ||||||||
\(609\) | 9.60388e7 | + | 9.02384e7i | 0.425202 | + | 0.399521i | ||||
\(610\) | −1.70601e6 | −0.00751608 | ||||||||
\(611\) | −5.73095e7 | + | 3.30877e7i | −0.251248 | + | 0.145058i | ||||
\(612\) | 1.10098e8 | − | 3.48372e8i | 0.480312 | − | 1.51981i | ||||
\(613\) | −4.17964e7 | + | 7.23936e7i | −0.181450 | + | 0.314281i | −0.942375 | − | 0.334559i | \(-0.891413\pi\) |
0.760924 | + | 0.648841i | \(0.224746\pi\) | |||||||
\(614\) | −5.80989e7 | + | 3.35434e7i | −0.250994 | + | 0.144911i | ||||
\(615\) | −1.80599e8 | + | 2.24868e8i | −0.776410 | + | 0.966724i | ||||
\(616\) | 1.17591e8 | + | 9.14578e6i | 0.503074 | + | 0.0391272i | ||||
\(617\) | 1.66236e8i | 0.707735i | 0.935296 | + | 0.353868i | \(0.115134\pi\) | ||||
−0.935296 | + | 0.353868i | \(0.884866\pi\) | |||||||
\(618\) | −1.93671e6 | + | 1.25551e7i | −0.00820537 | + | 0.0531928i | ||||
\(619\) | −1.12065e8 | + | 1.94102e8i | −0.472496 | + | 0.818387i | −0.999505 | − | 0.0314728i | \(-0.989980\pi\) |
0.527009 | + | 0.849860i | \(0.323314\pi\) | |||||||
\(620\) | 9.52019e7 | + | 5.49648e7i | 0.399457 | + | 0.230627i | ||||
\(621\) | −2.52495e7 | + | 1.62950e6i | −0.105433 | + | 0.00680423i | ||||
\(622\) | −4.86065e7 | −0.201987 | ||||||||
\(623\) | 8.45615e7 | + | 5.80030e7i | 0.349710 | + | 0.239876i | ||||
\(624\) | 7.31574e7 | − | 9.10898e7i | 0.301096 | − | 0.374900i | ||||
\(625\) | 8.39154e7 | + | 1.45346e8i | 0.343718 | + | 0.595336i | ||||
\(626\) | −2.08336e7 | − | 1.20283e7i | −0.0849263 | − | 0.0490322i | ||||
\(627\) | 3.56680e8 | − | 1.38568e8i | 1.44703 | − | 0.562161i | ||||
\(628\) | −1.17167e8 | − | 2.02940e8i | −0.473073 | − | 0.819386i | ||||
\(629\) | − | 2.67325e8i | − | 1.07421i | ||||||
\(630\) | 2.64920e7 | − | 2.07085e7i | 0.105948 | − | 0.0828185i | ||||
\(631\) | −1.61761e7 | −0.0643851 | −0.0321926 | − | 0.999482i | \(-0.510249\pi\) | ||||
−0.0321926 | + | 0.999482i | \(0.510249\pi\) | |||||||
\(632\) | 4.99817e7 | − | 2.88570e7i | 0.197998 | − | 0.114314i | ||||
\(633\) | 4.34405e7 | + | 1.11818e8i | 0.171271 | + | 0.440859i | ||||
\(634\) | −2.12041e7 | + | 3.67267e7i | −0.0832057 | + | 0.144116i | ||||
\(635\) | 8.50929e7 | − | 4.91284e7i | 0.332332 | − | 0.191872i | ||||
\(636\) | −2.38594e8 | − | 1.91623e8i | −0.927444 | − | 0.744863i | ||||
\(637\) | 8.40703e7 | − | 1.04210e8i | 0.325255 | − | 0.403171i | ||||
\(638\) | − | 3.86941e7i | − | 0.148999i | ||||||
\(639\) | −5.81830e7 | − | 6.35809e7i | −0.222994 | − | 0.243682i | ||||
\(640\) | −6.63153e7 | + | 1.14862e8i | −0.252973 | + | 0.438162i | ||||
\(641\) | 2.25480e8 | + | 1.30181e8i | 0.856118 | + | 0.494280i | 0.862710 | − | 0.505698i | \(-0.168765\pi\) |
−0.00659247 | + | 0.999978i | \(0.502098\pi\) | |||||||
\(642\) | 3.46054e7 | + | 5.33812e6i | 0.130779 | + | 0.0201736i | ||||
\(643\) | 1.62292e8 | 0.610471 | 0.305235 | − | 0.952277i | \(-0.401265\pi\) | ||||
0.305235 | + | 0.952277i | \(0.401265\pi\) | |||||||
\(644\) | 2.48448e7 | − | 1.18784e7i | 0.0930203 | − | 0.0444735i | ||||
\(645\) | 1.41625e8 | + | 1.13744e8i | 0.527790 | + | 0.423886i | ||||
\(646\) | −3.22706e7 | − | 5.58942e7i | −0.119704 | − | 0.207333i | ||||
\(647\) | −1.94540e8 | − | 1.12318e8i | −0.718285 | − | 0.414702i | 0.0958359 | − | 0.995397i | \(-0.469448\pi\) |
−0.814121 | + | 0.580695i | \(0.802781\pi\) | |||||||
\(648\) | 8.31587e7 | + | 7.38756e6i | 0.305621 | + | 0.0271504i | ||||
\(649\) | −1.61149e8 | − | 2.79118e8i | −0.589513 | − | 1.02107i | ||||
\(650\) | − | 5.52362e6i | − | 0.0201133i | ||||||
\(651\) | 4.34808e7 | + | 1.44165e8i | 0.157599 | + | 0.522537i | ||||
\(652\) | −4.33494e8 | −1.56401 | ||||||||
\(653\) | −4.95778e7 | + | 2.86237e7i | −0.178052 | + | 0.102798i | −0.586377 | − | 0.810038i | \(-0.699446\pi\) |
0.408325 | + | 0.912837i | \(0.366113\pi\) | |||||||
\(654\) | 5.90068e7 | − | 2.29238e7i | 0.210945 | − | 0.0819507i | ||||
\(655\) | −4.15216e7 | + | 7.19175e7i | −0.147758 | + | 0.255924i | ||||
\(656\) | 3.24918e8 | − | 1.87592e8i | 1.15097 | − | 0.664510i | ||||
\(657\) | 1.07434e6 | + | 4.86141e6i | 0.00378830 | + | 0.0171422i | ||||
\(658\) | 2.47017e7 | + | 1.92121e6i | 0.0867060 | + | 0.00674367i | ||||
\(659\) | 3.08857e8i | 1.07920i | 0.841922 | + | 0.539600i | \(0.181424\pi\) | ||||
−0.841922 | + | 0.539600i | \(0.818576\pi\) | |||||||
\(660\) | 3.94906e8 | + | 6.09171e7i | 1.37361 | + | 0.211889i | ||||
\(661\) | 2.28169e8 | − | 3.95200e8i | 0.790044 | − | 1.36840i | −0.135894 | − | 0.990723i | \(-0.543391\pi\) |
0.925939 | − | 0.377674i | \(-0.123276\pi\) | |||||||
\(662\) | −2.90754e7 | − | 1.67867e7i | −0.100219 | − | 0.0578617i | ||||
\(663\) | −3.75909e7 | + | 2.43690e8i | −0.128986 | + | 0.836174i | ||||
\(664\) | −5.28024e7 | −0.180364 | ||||||||
\(665\) | −1.86410e7 | + | 2.39675e8i | −0.0633877 | + | 0.815000i | ||||
\(666\) | 2.94593e7 | − | 6.51029e6i | 0.0997238 | − | 0.0220383i | ||||
\(667\) | −9.14601e6 | − | 1.58413e7i | −0.0308215 | − | 0.0533844i | ||||
\(668\) | 2.24587e8 | + | 1.29666e8i | 0.753453 | + | 0.435006i | ||||
\(669\) | −1.76864e8 | − | 4.55256e8i | −0.590692 | − | 1.52047i | ||||
\(670\) | −2.53349e7 | − | 4.38814e7i | −0.0842355 | − | 0.145900i | ||||
\(671\) | − | 2.77693e7i | − | 0.0919173i | ||||||
\(672\) | −1.31022e8 | + | 3.95169e7i | −0.431756 | + | 0.130219i | ||||
\(673\) | −5.51219e7 | −0.180833 | −0.0904167 | − | 0.995904i | \(-0.528820\pi\) | ||||
−0.0904167 | + | 0.995904i | \(0.528820\pi\) | |||||||
\(674\) | −1.48112e7 | + | 8.55126e6i | −0.0483739 | + | 0.0279287i | ||||
\(675\) | −6.39829e7 | + | 4.26592e7i | −0.208043 | + | 0.138708i | ||||
\(676\) | 1.10286e8 | − | 1.91021e8i | 0.357010 | − | 0.618359i | ||||
\(677\) | 3.77212e8 | − | 2.17784e8i | 1.21568 | − | 0.701874i | 0.251690 | − | 0.967808i | \(-0.419014\pi\) |
0.963991 | + | 0.265934i | \(0.0856804\pi\) | |||||||
\(678\) | −8.91973e6 | + | 1.11061e7i | −0.0286195 | + | 0.0356348i | ||||
\(679\) | −7.97863e7 | − | 1.66880e8i | −0.254870 | − | 0.533084i | ||||
\(680\) | − | 1.36457e8i | − | 0.433980i | ||||||
\(681\) | 4.16749e6 | − | 2.70165e7i | 0.0131957 | − | 0.0855437i | ||||
\(682\) | 2.21067e7 | − | 3.82900e7i | 0.0696901 | − | 0.120707i | ||||
\(683\) | −3.62730e8 | − | 2.09422e8i | −1.13847 | − | 0.657296i | −0.192419 | − | 0.981313i | \(-0.561633\pi\) |
−0.946051 | + | 0.324017i | \(0.894966\pi\) | |||||||
\(684\) | −2.17477e8 | + | 1.99014e8i | −0.679588 | + | 0.621892i | ||||
\(685\) | −1.61166e8 | −0.501420 | ||||||||
\(686\) | −4.80264e7 | + | 1.43703e7i | −0.148767 | + | 0.0445138i | ||||
\(687\) | 2.54826e8 | − | 3.17289e8i | 0.785910 | − | 0.978553i | ||||
\(688\) | −1.18148e8 | − | 2.04638e8i | −0.362794 | − | 0.628378i | ||||
\(689\) | 1.78856e8 | + | 1.03263e8i | 0.546823 | + | 0.315708i | ||||
\(690\) | −4.35060e6 | + | 1.69018e6i | −0.0132435 | + | 0.00514501i | ||||
\(691\) | 4.53744e7 | + | 7.85908e7i | 0.137524 | + | 0.238198i | 0.926559 | − | 0.376150i | \(-0.122752\pi\) |
−0.789035 | + | 0.614348i | \(0.789419\pi\) | |||||||
\(692\) | − | 2.19483e7i | − | 0.0662342i | ||||||
\(693\) | 3.37080e8 | + | 4.31219e8i | 1.01282 | + | 1.29568i | ||||
\(694\) | 1.03391e8 | 0.309318 | ||||||||
\(695\) | −2.71039e8 | + | 1.56484e8i | −0.807379 | + | 0.466140i | ||||
\(696\) | 2.18565e7 | + | 5.62596e7i | 0.0648266 | + | 0.166866i | ||||
\(697\) | −3.95914e8 | + | 6.85743e8i | −1.16924 | + | 2.02518i | ||||
\(698\) | −5.44084e7 | + | 3.14127e7i | −0.159993 | + | 0.0923718i | ||||
\(699\) | 1.66412e8 | + | 1.33651e8i | 0.487250 | + | 0.391328i | ||||
\(700\) | 4.73429e7 | − | 6.90203e7i | 0.138026 | − | 0.201225i | ||||
\(701\) | 4.63750e8i | 1.34626i | 0.739522 | + | 0.673132i | \(0.235051\pi\) | ||||
−0.739522 | + | 0.673132i | \(0.764949\pi\) | |||||||
\(702\) | −2.77701e7 | + | 1.79217e6i | −0.0802724 | + | 0.00518045i | ||||
\(703\) | −1.07848e8 | + | 1.86798e8i | −0.310417 | + | 0.537657i | ||||
\(704\) | −4.26477e8 | − | 2.46227e8i | −1.22230 | − | 0.705695i | ||||
\(705\) | 1.67962e8 | + | 2.59093e7i | 0.479339 | + | 0.0739415i | ||||
\(706\) | 3.74944e7 | 0.106550 | ||||||||
\(707\) | 2.96185e7 | − | 3.80817e8i | 0.0838118 | − | 1.07760i | ||||
\(708\) | 1.93591e8 | + | 1.55479e8i | 0.545487 | + | 0.438100i | ||||
\(709\) | −4.64616e7 | − | 8.04739e7i | −0.130363 | − | 0.225796i | 0.793453 | − | 0.608631i | \(-0.208281\pi\) |
−0.923817 | + | 0.382835i | \(0.874948\pi\) | |||||||
\(710\) | −1.37682e7 | − | 7.94910e6i | −0.0384683 | − | 0.0222097i | ||||
\(711\) | 2.55374e8 | + | 8.07069e7i | 0.710505 | + | 0.224544i | ||||
\(712\) | 2.34823e7 | + | 4.06725e7i | 0.0650579 | + | 0.112684i | ||||
\(713\) | − | 2.09012e7i | − | 0.0576637i | ||||||
\(714\) | 6.32150e7 | − | 6.72784e7i | 0.173670 | − | 0.184834i | ||||
\(715\) | −2.69668e8 | −0.737752 | ||||||||
\(716\) | −1.58370e8 | + | 9.14349e7i | −0.431453 | + | 0.249100i | ||||
\(717\) | 3.45347e7 | − | 1.34165e7i | 0.0936910 | − | 0.0363984i | ||||
\(718\) | −2.06676e7 | + | 3.57973e7i | −0.0558363 | + | 0.0967114i | ||||
\(719\) | −5.60213e8 | + | 3.23439e8i | −1.50718 | + | 0.870173i | −0.507219 | + | 0.861817i | \(0.669327\pi\) |
−0.999965 | + | 0.00835616i | \(0.997340\pi\) | |||||||
\(720\) | −2.92970e8 | + | 6.47442e7i | −0.784919 | + | 0.173462i | ||||
\(721\) | 7.34825e7 | − | 1.07129e8i | 0.196055 | − | 0.285825i | ||||
\(722\) | − | 6.36790e6i | − | 0.0169194i | ||||||
\(723\) | −5.19427e8 | − | 8.01253e7i | −1.37439 | − | 0.212009i | ||||
\(724\) | −1.76857e8 | + | 3.06326e8i | −0.466023 | + | 0.807176i | ||||
\(725\) | −4.81463e7 | − | 2.77973e7i | −0.126342 | − | 0.0729438i | ||||
\(726\) | 1.54418e7 | − | 1.00104e8i | 0.0403542 | − | 0.261603i | ||||
\(727\) | 1.80307e7 | 0.0469256 | 0.0234628 | − | 0.999725i | \(-0.492531\pi\) | ||||
0.0234628 | + | 0.999725i | \(0.492531\pi\) | |||||||
\(728\) | 5.53251e7 | − | 2.64512e7i | 0.143393 | − | 0.0685570i | ||||
\(729\) | 2.35229e8 | + | 3.07834e8i | 0.607168 | + | 0.794573i | ||||
\(730\) | 459203. | + | 795362.i | 0.00118042 | + | 0.00204454i | ||||
\(731\) | 4.31891e8 | + | 2.49352e8i | 1.10566 | + | 0.638353i | ||||
\(732\) | 7.74709e6 | + | 1.99414e7i | 0.0197517 | + | 0.0508418i | ||||
\(733\) | 6.43189e7 | + | 1.11404e8i | 0.163315 | + | 0.282870i | 0.936056 | − | 0.351852i | \(-0.114448\pi\) |
−0.772740 | + | 0.634722i | \(0.781115\pi\) | |||||||
\(734\) | 4.80194e7i | 0.121431i | ||||||||
\(735\) | −3.35919e8 | + | 7.34649e7i | −0.846005 | + | 0.185020i | ||||
\(736\) | 1.89958e7 | 0.0476457 | ||||||||
\(737\) | 7.14273e8 | − | 4.12386e8i | 1.78427 | − | 1.03015i | ||||
\(738\) | −8.52109e7 | − | 2.69296e7i | −0.211995 | − | 0.0669978i | ||||
\(739\) | −1.11388e8 | + | 1.92930e8i | −0.275999 | + | 0.478044i | −0.970387 | − | 0.241557i | \(-0.922342\pi\) |
0.694388 | + | 0.719601i | \(0.255675\pi\) | |||||||
\(740\) | −1.95060e8 | + | 1.12618e8i | −0.481364 | + | 0.277916i | ||||
\(741\) | 1.24580e8 | − | 1.55117e8i | 0.306191 | − | 0.381245i | ||||
\(742\) | −3.33530e7 | − | 6.97608e7i | −0.0816438 | − | 0.170765i | ||||
\(743\) | − | 6.28432e8i | − | 1.53212i | −0.642771 | − | 0.766059i | \(-0.722215\pi\) | ||
0.642771 | − | 0.766059i | \(-0.277785\pi\) | |||||||
\(744\) | −1.05140e7 | + | 6.81592e7i | −0.0255300 | + | 0.165503i | ||||
\(745\) | 3.48535e8 | − | 6.03680e8i | 0.842903 | − | 1.45995i | ||||
\(746\) | 1.97411e7 | + | 1.13976e7i | 0.0475506 | + | 0.0274533i | ||||
\(747\) | −1.65420e8 | − | 1.80767e8i | −0.396849 | − | 0.433667i | ||||
\(748\) | 1.09703e9 | 2.62128 | ||||||||
\(749\) | −2.95278e8 | − | 2.02539e8i | −0.702725 | − | 0.482018i | ||||
\(750\) | −4.44075e7 | + | 5.52928e7i | −0.105262 | + | 0.131064i | ||||
\(751\) | 1.86169e8 | + | 3.22454e8i | 0.439528 | + | 0.761285i | 0.997653 | − | 0.0684718i | \(-0.0218123\pi\) |
−0.558125 | + | 0.829757i | \(0.688479\pi\) | |||||||
\(752\) | −1.91459e8 | − | 1.10539e8i | −0.450218 | − | 0.259934i | ||||
\(753\) | 2.59857e8 | − | 1.00953e8i | 0.608624 | − | 0.236447i | ||||
\(754\) | −1.00590e7 | − | 1.74228e7i | −0.0234662 | − | 0.0406446i | ||||
\(755\) | 2.63296e8i | 0.611791i | ||||||||
\(756\) | −3.62361e8 | − | 2.15623e8i | −0.838642 | − | 0.499034i | ||||
\(757\) | −2.85777e8 | −0.658779 | −0.329390 | − | 0.944194i | \(-0.606843\pi\) | ||||
−0.329390 | + | 0.944194i | \(0.606843\pi\) | |||||||
\(758\) | 3.10482e7 | − | 1.79257e7i | 0.0712900 | − | 0.0411593i | ||||
\(759\) | −2.75117e7 | − | 7.08163e7i | −0.0629205 | − | 0.161960i | ||||
\(760\) | −5.50513e7 | + | 9.53517e7i | −0.125409 | + | 0.217214i | ||||
\(761\) | −5.67287e7 | + | 3.27523e7i | −0.128721 | + | 0.0743170i | −0.562978 | − | 0.826472i | \(-0.690344\pi\) |
0.434257 | + | 0.900789i | \(0.357011\pi\) | |||||||
\(762\) | 2.37372e7 | + | 1.90642e7i | 0.0536494 | + | 0.0430877i | ||||
\(763\) | −6.45400e8 | − | 5.01968e7i | −1.45297 | − | 0.113006i | ||||
\(764\) | 6.63121e8i | 1.48701i | ||||||||
\(765\) | 4.67155e8 | − | 4.27494e8i | 1.04346 | − | 0.954874i | ||||
\(766\) | −3.98712e7 | + | 6.90590e7i | −0.0887101 | + | 0.153650i | ||||
\(767\) | −1.45121e8 | − | 8.37855e7i | −0.321620 | − | 0.185688i | ||||
\(768\) | 3.43598e8 | + | 5.30025e7i | 0.758520 | + | 0.117007i | ||||
\(769\) | 1.91111e8 | 0.420249 | 0.210125 | − | 0.977675i | \(-0.432613\pi\) | ||||
0.210125 | + | 0.977675i | \(0.432613\pi\) | |||||||
\(770\) | 8.32602e7 | + | 5.71104e7i | 0.182375 | + | 0.125096i | ||||
\(771\) | −3.99587e8 | − | 3.20922e8i | −0.871862 | − | 0.700223i | ||||
\(772\) | −3.28063e8 | − | 5.68222e8i | −0.713026 | − | 1.23500i | ||||
\(773\) | 3.06662e8 | + | 1.77051e8i | 0.663929 | + | 0.383319i | 0.793772 | − | 0.608215i | \(-0.208114\pi\) |
−0.129844 | + | 0.991534i | \(0.541447\pi\) | |||||||
\(774\) | −1.69606e7 | + | 5.36670e7i | −0.0365779 | + | 0.115740i | ||||
\(775\) | −3.17623e7 | − | 5.50140e7i | −0.0682350 | − | 0.118187i | ||||
\(776\) | − | 8.47175e7i | − | 0.181296i | ||||||
\(777\) | −3.00352e8 | − | 7.05380e7i | −0.640276 | − | 0.150370i | ||||
\(778\) | −8.93687e7 | −0.189778 | ||||||||
\(779\) | 5.53303e8 | − | 3.19450e8i | 1.17044 | − | 0.675756i | ||||
\(780\) | 1.93650e8 | − | 7.52320e7i | 0.408070 | − | 0.158533i | ||||
\(781\) | 1.29390e8 | − | 2.24111e8i | 0.271612 | − | 0.470445i | ||||
\(782\) | −1.10974e7 | + | 6.40708e6i | −0.0232060 | + | 0.0133980i | ||||
\(783\) | −1.24130e8 | + | 2.51075e8i | −0.258578 | + | 0.523021i | ||||
\(784\) | 4.41932e8 | + | 6.91619e7i | 0.917079 | + | 0.143522i | ||||
\(785\) | − | 4.06149e8i | − | 0.839608i | ||||||
\(786\) | −2.54302e7 | − | 3.92280e6i | −0.0523700 | − | 0.00807845i | ||||
\(787\) | −8.45769e6 | + | 1.46492e7i | −0.0173511 | + | 0.0300530i | −0.874571 | − | 0.484898i | \(-0.838857\pi\) |
0.857219 | + | 0.514951i | \(0.172190\pi\) | |||||||
\(788\) | 7.33577e8 | + | 4.23531e8i | 1.49923 | + | 0.865579i | ||||
\(789\) | −2.93300e7 | + | 1.90137e8i | −0.0597147 | + | 0.387112i | ||||
\(790\) | 4.94045e7 | 0.100204 | ||||||||
\(791\) | 1.31420e8 | − | 6.28324e7i | 0.265540 | − | 0.126956i | ||||
\(792\) | 5.40930e7 | + | 2.44772e8i | 0.108884 | + | 0.492705i | ||||
\(793\) | −7.21899e6 | − | 1.25037e7i | −0.0144763 | − | 0.0250736i | ||||
\(794\) | 6.36691e7 | + | 3.67594e7i | 0.127194 | + | 0.0734356i | ||||
\(795\) | −1.92068e8 | − | 4.94391e8i | −0.382255 | − | 0.983941i | ||||
\(796\) | 2.08228e8 | + | 3.60662e8i | 0.412857 | + | 0.715090i | ||||
\(797\) | 6.60423e8i | 1.30451i | 0.758000 | + | 0.652254i | \(0.226177\pi\) | ||||
−0.758000 | + | 0.652254i | \(0.773823\pi\) | |||||||
\(798\) | −7.13149e7 | + | 2.15089e7i | −0.140337 | + | 0.0423262i | ||||
\(799\) | 4.66588e8 | 0.914731 | ||||||||
\(800\) | 4.99988e7 | − | 2.88668e7i | 0.0976538 | − | 0.0563805i | ||||
\(801\) | −6.56750e7 | + | 2.07810e8i | −0.127792 | + | 0.404360i | ||||
\(802\) | 1.65264e7 | − | 2.86245e7i | 0.0320372 | − | 0.0554901i | ||||
\(803\) | −1.29464e7 | + | 7.47460e6i | −0.0250036 | + | 0.0144358i | ||||
\(804\) | −3.97877e8 | + | 4.95405e8i | −0.765563 | + | 0.953219i | ||||
\(805\) | 4.75857e7 | + | 3.70104e6i | 0.0912198 | + | 0.00709473i | ||||
\(806\) | − | 2.29877e7i | − | 0.0439027i | ||||||
\(807\) | 1.07678e8 | − | 6.98044e8i | 0.204884 | − | 1.32820i | ||||
\(808\) | 8.74705e7 | − | 1.51503e8i | 0.165816 | − | 0.287203i | ||||
\(809\) | −1.70266e8 | − | 9.83030e7i | −0.321575 | − | 0.185661i | 0.330520 | − | 0.943799i | \(-0.392776\pi\) |
−0.652094 | + | 0.758138i | \(0.726109\pi\) | |||||||
\(810\) | 5.84868e7 | + | 4.10696e7i | 0.110053 | + | 0.0772797i | ||||
\(811\) | 1.13068e8 | 0.211971 | 0.105986 | − | 0.994368i | \(-0.466200\pi\) | ||||
0.105986 | + | 0.994368i | \(0.466200\pi\) | |||||||
\(812\) | 2.36379e7 | − | 3.03921e8i | 0.0441510 | − | 0.567666i | ||||
\(813\) | 8.50195e7 | − | 1.05859e8i | 0.158215 | − | 0.196996i | ||||
\(814\) | 4.52947e7 | + | 7.84528e7i | 0.0839798 | + | 0.145457i | ||||
\(815\) | −6.50672e8 | − | 3.75666e8i | −1.20196 | − | 0.693951i | ||||
\(816\) | −7.67838e8 | + | 2.98300e8i | −1.41319 | + | 0.549014i | ||||
\(817\) | −2.01194e8 | − | 3.48478e8i | −0.368934 | − | 0.639012i | ||||
\(818\) | 1.31429e7i | 0.0240122i | ||||||||
\(819\) | 2.63878e8 | + | 1.06536e8i | 0.480342 | + | 0.193931i | ||||
\(820\) | 6.67160e8 | 1.21001 | ||||||||
\(821\) | −4.47787e8 | + | 2.58530e8i | −0.809174 | + | 0.467177i | −0.846669 | − | 0.532120i | \(-0.821396\pi\) |
0.0374950 | + | 0.999297i | \(0.488062\pi\) | |||||||
\(822\) | −1.80837e7 | − | 4.65482e7i | −0.0325590 | − | 0.0838084i | ||||
\(823\) | −2.84365e8 | + | 4.92534e8i | −0.510124 | + | 0.883561i | 0.489807 | + | 0.871831i | \(0.337067\pi\) |
−0.999931 | + | 0.0117301i | \(0.996266\pi\) | |||||||
\(824\) | 5.15269e7 | − | 2.97491e7i | 0.0920985 | − | 0.0531731i | ||||
\(825\) | −1.80029e8 | − | 1.44587e8i | −0.320612 | − | 0.257495i | ||||
\(826\) | 2.70620e7 | + | 5.66027e7i | 0.0480198 | + | 0.100438i | ||||
\(827\) | − | 8.35385e8i | − | 1.47697i | −0.674272 | − | 0.738483i | \(-0.735543\pi\) | ||
0.674272 | − | 0.738483i | \(-0.264457\pi\) | |||||||
\(828\) | 3.95127e7 | + | 4.31785e7i | 0.0696059 | + | 0.0760636i | ||||
\(829\) | −1.47899e8 | + | 2.56169e8i | −0.259598 | + | 0.449638i | −0.966134 | − | 0.258040i | \(-0.916924\pi\) |
0.706536 | + | 0.707677i | \(0.250257\pi\) | |||||||
\(830\) | −3.91444e7 | − | 2.26001e7i | −0.0684598 | − | 0.0395253i | ||||
\(831\) | −2.29649e8 | − | 3.54249e7i | −0.400185 | − | 0.0617314i | ||||
\(832\) | −2.56039e8 | −0.444566 | ||||||||
\(833\) | −8.80727e8 | + | 3.39940e8i | −1.52372 | + | 0.588121i | ||||
\(834\) | −7.56080e7 | − | 6.07234e7i | −0.130338 | − | 0.104679i | ||||
\(835\) | 2.24736e8 | + | 3.89255e8i | 0.386024 | + | 0.668613i | ||||
\(836\) | −7.66566e8 | − | 4.42577e8i | −1.31199 | − | 0.757478i | ||||
\(837\) | −2.66278e8 | + | 1.77535e8i | −0.454108 | + | 0.302767i | ||||
\(838\) | −3.77975e6 | − | 6.54672e6i | −0.00642290 | − | 0.0111248i | ||||
\(839\) | 6.21767e8i | 1.05279i | 0.850240 | + | 0.526395i | \(0.176457\pi\) | ||||
−0.850240 | + | 0.526395i | \(0.823543\pi\) | |||||||
\(840\) | −1.53316e8 | − | 3.60064e7i | −0.258672 | − | 0.0607494i | ||||
\(841\) | 3.92337e8 | 0.659587 | ||||||||
\(842\) | 9.39774e7 | − | 5.42579e7i | 0.157430 | − | 0.0908921i | ||||
\(843\) | 4.73837e8 | − | 1.84083e8i | 0.790944 | − | 0.307277i | ||||
\(844\) | 1.38746e8 | − | 2.40315e8i | 0.230777 | − | 0.399718i | ||||
\(845\) | 3.31077e8 | − | 1.91148e8i | 0.548731 | − | 0.316810i | ||||
\(846\) | 1.13630e7 | + | 5.14181e7i | 0.0187665 | + | 0.0849190i | ||||
\(847\) | −5.85893e8 | + | 8.54162e8i | −0.964203 | + | 1.40569i | ||||
\(848\) | 6.89959e8i | 1.13145i | ||||||||
\(849\) | −1.31897e8 | − | 2.03460e7i | −0.215532 | − | 0.0332473i | ||||
\(850\) | −1.94729e7 | + | 3.37281e7i | −0.0317084 | + | 0.0549206i | ||||
\(851\) | 3.70873e7 | + | 2.14124e7i | 0.0601779 | + | 0.0347437i | ||||
\(852\) | −3.03937e7 | + | 1.97033e8i | −0.0491434 | + | 0.318581i | ||||
\(853\) | −2.54834e8 | −0.410592 | −0.205296 | − | 0.978700i | \(-0.565816\pi\) | ||||
−0.205296 | + | 0.978700i | \(0.565816\pi\) | |||||||
\(854\) | −419164. | + | 5.38936e6i | −0.000672994 | + | 0.00865294i | ||||
\(855\) | −4.98898e8 | + | 1.10253e8i | −0.798203 | + | 0.176397i | ||||
\(856\) | −8.19970e7 | − | 1.42023e8i | −0.130730 | − | 0.226432i | ||||
\(857\) | 8.51892e8 | + | 4.91840e8i | 1.35345 | + | 0.781415i | 0.988731 | − | 0.149703i | \(-0.0478318\pi\) |
0.364719 | + | 0.931118i | \(0.381165\pi\) | |||||||
\(858\) | −3.02581e7 | − | 7.78857e7i | −0.0479049 | − | 0.123309i | ||||
\(859\) | 5.51198e8 | + | 9.54702e8i | 0.869616 | + | 1.50622i | 0.862389 | + | 0.506246i | \(0.168967\pi\) |
0.00722740 | + | 0.999974i | \(0.497699\pi\) | |||||||
\(860\) | − | 4.20186e8i | − | 0.660612i | ||||||
\(861\) | 6.65996e8 | + | 6.25772e8i | 1.04343 | + | 0.980408i | ||||
\(862\) | −7.84048e6 | −0.0122411 | ||||||||
\(863\) | −1.68583e8 | + | 9.73314e7i | −0.262290 | + | 0.151433i | −0.625379 | − | 0.780322i | \(-0.715055\pi\) |
0.363089 | + | 0.931754i | \(0.381722\pi\) | |||||||
\(864\) | −1.61351e8 | − | 2.42004e8i | −0.250167 | − | 0.375215i | ||||
\(865\) | 1.90204e7 | − | 3.29443e7i | 0.0293880 | − | 0.0509016i | ||||
\(866\) | −1.04901e8 | + | 6.05645e7i | −0.161519 | + | 0.0932533i | ||||
\(867\) | 6.80545e8 | − | 8.47360e8i | 1.04424 | − | 1.30020i | ||||
\(868\) | 1.97028e8 | − | 2.87243e8i | 0.301278 | − | 0.439228i | ||||
\(869\) | 8.04174e8i | 1.22544i | ||||||||
\(870\) | −7.87672e6 | + | 5.10623e7i | −0.0119616 | + | 0.0775430i | ||||
\(871\) | 2.14410e8 | − | 3.71369e8i | 0.324482 | − | 0.562019i | ||||
\(872\) | −2.56764e8 | − | 1.48243e8i | −0.387245 | − | 0.223576i | ||||
\(873\) | 2.90027e8 | − | 2.65404e8i | 0.435908 | − | 0.398900i | ||||
\(874\) | 1.03393e7 | 0.0154866 | ||||||||
\(875\) | 6.54282e8 | − | 3.12815e8i | 0.976654 | − | 0.466943i | ||||
\(876\) | 7.21164e6 | − | 8.97936e6i | 0.0107281 | − | 0.0133577i | ||||
\(877\) | −2.03653e7 | − | 3.52737e7i | −0.0301920 | − | 0.0522940i | 0.850535 | − | 0.525919i | \(-0.176279\pi\) |
−0.880727 | + | 0.473625i | \(0.842945\pi\) | |||||||
\(878\) | 1.36452e8 | + | 7.87807e7i | 0.201603 | + | 0.116396i | ||||
\(879\) | 1.75779e8 | − | 6.82890e7i | 0.258821 | − | 0.100551i | ||||
\(880\) | −4.50452e8 | − | 7.80206e8i | −0.660999 | − | 1.14488i | ||||
\(881\) | − | 5.17342e8i | − | 0.756572i | −0.925689 | − | 0.378286i | \(-0.876514\pi\) | ||
0.925689 | − | 0.378286i | \(-0.123486\pi\) | |||||||
\(882\) | −5.89101e7 | − | 8.87775e7i | −0.0858587 | − | 0.129389i | ||||
\(883\) | −7.61031e8 | −1.10540 | −0.552701 | − | 0.833380i | \(-0.686403\pi\) | ||||
−0.552701 | + | 0.833380i | \(0.686403\pi\) | |||||||
\(884\) | 4.93958e8 | − | 2.85187e8i | 0.715045 | − | 0.412831i | ||||
\(885\) | 1.55840e8 | + | 4.01140e8i | 0.224828 | + | 0.578716i | ||||
\(886\) | 1.03219e8 | − | 1.78781e8i | 0.148408 | − | 0.257051i | ||||
\(887\) | 5.27250e7 | − | 3.04408e7i | 0.0755520 | − | 0.0436200i | −0.461748 | − | 0.887011i | \(-0.652778\pi\) |
0.537300 | + | 0.843391i | \(0.319444\pi\) | |||||||
\(888\) | −1.10171e8 | − | 8.84823e7i | −0.157336 | − | 0.126362i | ||||
\(889\) | −1.34292e8 | − | 2.80884e8i | −0.191137 | − | 0.399780i | ||||
\(890\) | 4.02028e7i | 0.0570277i | ||||||||
\(891\) | −6.68505e8 | + | 9.52010e8i | −0.945086 | + | 1.34589i | ||||
\(892\) | −5.64891e8 | + | 9.78420e8i | −0.795922 | + | 1.37858i | ||||
\(893\) | −3.26036e8 | − | 1.88237e8i | −0.457837 | − | 0.264333i | ||||
\(894\) | 2.13463e8 | + | 3.29282e7i | 0.298752 | + | 0.0460846i | ||||
\(895\) | −3.16950e8 | −0.442101 | ||||||||
\(896\) | 3.46560e8 | + | 2.37715e8i | 0.481786 | + | 0.330470i | ||||
\(897\) | −3.07973e7 | − | 2.47344e7i | −0.0426712 | − | 0.0342708i | ||||
\(898\) | −3.90800e7 | − | 6.76886e7i | −0.0539667 | − | 0.0934730i | ||||
\(899\) | −2.00371e8 | − | 1.15684e8i | −0.275776 | − | 0.159219i | ||||
\(900\) | 1.69617e8 | + | 5.36049e7i | 0.232671 | + | 0.0735321i | ||||
\(901\) | −7.28083e8 | − | 1.26108e9i | −0.995421 | − | 1.72412i | ||||
\(902\) | − | 2.68330e8i | − | 0.365637i | ||||||
\(903\) | 3.94120e8 | − | 4.19454e8i | 0.535261 | − | 0.569667i | ||||
\(904\) | 6.67157e7 | 0.0903073 | ||||||||
\(905\) | −5.30924e8 | + | 3.06529e8i | −0.716287 | + | 0.413548i | ||||
\(906\) | −7.60455e7 | + | 2.95432e7i | −0.102256 | + | 0.0397258i | ||||
\(907\) | 5.72519e8 | − | 9.91632e8i | 0.767305 | − | 1.32901i | −0.171715 | − | 0.985147i | \(-0.554931\pi\) |
0.939019 | − | 0.343864i | \(-0.111736\pi\) | |||||||
\(908\) | −5.47624e7 | + | 3.16171e7i | −0.0731518 | + | 0.0422342i | ||||
\(909\) | 7.92694e8 | − | 1.75180e8i | 1.05539 | − | 0.233234i | ||||
\(910\) | 5.23361e7 | + | 4.07051e6i | 0.0694508 | + | 0.00540162i | ||||
\(911\) | − | 7.55611e8i | − | 0.999408i | −0.866196 | − | 0.499704i | \(-0.833442\pi\) | ||
0.866196 | − | 0.499704i | \(-0.166558\pi\) | |||||||
\(912\) | 6.56883e8 | + | 1.01329e8i | 0.865972 | + | 0.133582i | ||||
\(913\) | 3.67869e8 | − | 6.37168e8i | 0.483371 | − | 0.837224i | ||||
\(914\) | 1.92956e7 | + | 1.11403e7i | 0.0252708 | + | 0.0145901i | ||||
\(915\) | −5.65283e6 | + | 3.66455e7i | −0.00737909 | + | 0.0478363i | ||||
\(916\) | −9.41362e8 | −1.22481 | ||||||||
\(917\) | 2.16989e8 | + | 1.48839e8i | 0.281404 | + | 0.193023i | ||||
\(918\) | 1.75887e8 | + | 8.69573e7i | 0.227355 | + | 0.112403i | ||||
\(919\) | −4.31385e7 | − | 7.47180e7i | −0.0555799 | − | 0.0962673i | 0.836897 | − | 0.547361i | \(-0.184367\pi\) |
−0.892477 | + | 0.451093i | \(0.851034\pi\) | |||||||
\(920\) | 1.89314e7 | + | 1.09300e7i | 0.0243119 | + | 0.0140365i | ||||
\(921\) | 5.28012e8 | + | 1.35913e9i | 0.675872 | + | 1.73973i | ||||
\(922\) | 8.91028e7 | + | 1.54330e8i | 0.113684 | + | 0.196906i | ||||
\(923\) | − | 1.34547e8i | − | 0.171107i | ||||||
\(924\) | 2.89468e8 | − | 1.23256e9i | 0.366932 | − | 1.56240i | ||||
\(925\) | 1.30157e8 | 0.164453 | ||||||||
\(926\) | −5.31655e7 | + | 3.06951e7i | −0.0669571 | + | 0.0386577i | ||||
\(927\) | 2.63269e8 | + | 8.32019e7i | 0.330491 | + | 0.104447i | ||||
\(928\) | 1.05138e8 | − | 1.82105e8i | 0.131558 | − | 0.227865i | ||||
\(929\) | −7.93398e7 | + | 4.58069e7i | −0.0989564 | + | 0.0571325i | −0.548662 | − | 0.836045i | \(-0.684862\pi\) |
0.449705 | + | 0.893177i | \(0.351529\pi\) | |||||||
\(930\) | −3.69674e7 | + | 4.60289e7i | −0.0459590 | + | 0.0572244i | ||||
\(931\) | 7.52565e8 | + | 1.17776e8i | 0.932599 | + | 0.145951i | ||||
\(932\) | − | 4.93725e8i | − | 0.609871i | ||||||
\(933\) | −1.61057e8 | + | 1.04408e9i | −0.198305 | + | 1.28555i | ||||
\(934\) | −6.92025e7 | + | 1.19862e8i | −0.0849339 | + | 0.147110i | ||||
\(935\) | 1.64663e9 | + | 9.50684e8i | 2.01448 | + | 1.16306i | ||||
\(936\) | 8.79882e7 | + | 9.61513e7i | 0.107299 | + | 0.117254i | ||||
\(937\) | −6.12696e8 | −0.744777 | −0.372388 | − | 0.928077i | \(-0.621461\pi\) | ||||
−0.372388 | + | 0.928077i | \(0.621461\pi\) | |||||||
\(938\) | −1.44848e8 | + | 6.92527e7i | −0.175511 | + | 0.0839128i | ||||
\(939\) | −3.27403e8 | + | 4.07656e8i | −0.395445 | + | 0.492377i | ||||
\(940\) | −1.96563e8 | − | 3.40458e8i | −0.236657 | − | 0.409902i | ||||
\(941\) | 6.20758e8 | + | 3.58395e8i | 0.744996 | + | 0.430123i | 0.823883 | − | 0.566760i | \(-0.191803\pi\) |
−0.0788872 | + | 0.996884i | \(0.525137\pi\) | |||||||
\(942\) | 1.17305e8 | − | 4.55721e7i | 0.140334 | − | 0.0545188i | ||||
\(943\) | −6.34244e7 | − | 1.09854e8i | −0.0756347 | − | 0.131003i | ||||
\(944\) | − | 5.59820e8i | − | 0.665477i | ||||||
\(945\) | −3.57043e8 | − | 6.37672e8i | −0.423083 | − | 0.755617i | ||||
\(946\) | −1.68998e8 | −0.199622 | ||||||||
\(947\) | −1.09911e9 | + | 6.34569e8i | −1.29416 | + | 0.747186i | −0.979390 | − | 0.201980i | \(-0.935262\pi\) |
−0.314775 | + | 0.949166i | \(0.601929\pi\) | |||||||
\(948\) | −2.24349e8 | − | 5.77484e8i | −0.263329 | − | 0.677821i | ||||
\(949\) | −3.88624e6 | + | 6.73117e6i | −0.00454707 | + | 0.00787575i | ||||
\(950\) | 2.72141e7 | − | 1.57121e7i | 0.0317412 | − | 0.0183258i | ||||
\(951\) | 7.18639e8 | + | 5.77164e8i | 0.835543 | + | 0.671054i | ||||
\(952\) | −4.31075e8 | − | 3.35274e7i | −0.499623 | − | 0.0388588i | ||||
\(953\) | 6.62904e6i | 0.00765900i | 0.999993 | + | 0.00382950i | \(0.00121897\pi\) | ||||
−0.999993 | + | 0.00382950i | \(0.998781\pi\) | |||||||
\(954\) | 1.21240e8 | − | 1.10947e8i | 0.139637 | − | 0.127782i | ||||
\(955\) | −5.74661e8 | + | 9.95342e8i | −0.659783 | + | 1.14278i | ||||
\(956\) | −7.42208e7 | − | 4.28514e7i | −0.0849477 | − | 0.0490446i | ||||
\(957\) | −8.31159e8 | − | 1.28212e8i | −0.948305 | − | 0.146283i | ||||
\(958\) | −1.71055e8 | −0.194554 | ||||||||
\(959\) | −3.95983e7 | + | 5.09131e8i | −0.0448974 | + | 0.577264i | ||||
\(960\) | 5.12674e8 | + | 4.11746e8i | 0.579465 | + | 0.465389i | ||||
\(961\) | 3.11566e8 | + | 5.39648e8i | 0.351059 | + | 0.608052i | ||||
\(962\) | 4.07897e7 | + | 2.35499e7i | 0.0458168 | + | 0.0264524i | ||||
\(963\) | 2.29329e8 | − | 7.25644e8i | 0.256791 | − | 0.812540i | ||||
\(964\) | 6.07879e8 | + | 1.05288e9i | 0.678556 | + | 1.17529i | ||||
\(965\) | − | 1.13720e9i | − | 1.26548i | ||||||
\(966\) | 4.27043e6 | + | 1.41591e7i | 0.00473740 | + | 0.0157073i | ||||
\(967\) | −5.61333e8 | −0.620785 | −0.310392 | − | 0.950608i | \(-0.600460\pi\) | ||||
−0.310392 | + | 0.950608i | \(0.600460\pi\) | |||||||
\(968\) | −4.10836e8 | + | 2.37196e8i | −0.452942 | + | 0.261506i | ||||
\(969\) | −1.30755e9 | + | 5.07975e8i | −1.43710 | + | 0.558305i | ||||
\(970\) | 3.62601e7 | − | 6.28044e7i | 0.0397296 | − | 0.0688137i | ||||
\(971\) | −2.91588e8 | + | 1.68348e8i | −0.318502 | + | 0.183887i | −0.650725 | − | 0.759314i | \(-0.725535\pi\) |
0.332223 | + | 0.943201i | \(0.392201\pi\) | |||||||
\(972\) | 2.14466e8 | − | 8.70146e8i | 0.233539 | − | 0.947531i | ||||
\(973\) | 4.27748e8 | + | 8.94673e8i | 0.464354 | + | 0.971239i | ||||
\(974\) | 1.45562e7i | 0.0157533i | ||||||||
\(975\) | −1.18649e8 | − | 1.83024e7i | −0.128012 | − | 0.0197467i | ||||
\(976\) | 2.41172e7 | − | 4.17722e7i | 0.0259404 | − | 0.0449301i | ||||
\(977\) | −1.33610e9 | − | 7.71397e8i | −1.43270 | − | 0.827169i | −0.435372 | − | 0.900250i | \(-0.643383\pi\) |
−0.997326 | + | 0.0730817i | \(0.976717\pi\) | |||||||
\(978\) | 3.54914e7 | − | 2.30080e8i | 0.0379409 | − | 0.245959i | ||||
\(979\) | −6.54395e8 | −0.697416 | ||||||||
\(980\) | 6.19076e8 | + | 4.99435e8i | 0.657758 | + | 0.530641i | ||||
\(981\) | −2.96891e8 | − | 1.34344e9i | −0.314477 | − | 1.42302i | ||||
\(982\) | 8.03251e7 | + | 1.39127e8i | 0.0848236 | + | 0.146919i | ||||
\(983\) | −1.24750e9 | − | 7.20243e8i | −1.31335 | − | 0.758260i | −0.330697 | − | 0.943737i | \(-0.607284\pi\) |
−0.982649 | + | 0.185477i | \(0.940617\pi\) | |||||||
\(984\) | 1.51567e8 | + | 3.90141e8i | 0.159082 | + | 0.409483i | ||||
\(985\) | 7.34064e8 | + | 1.27144e9i | 0.768113 | + | 1.33041i | ||||
\(986\) | 1.41848e8i | 0.147977i | ||||||||
\(987\) | 1.23117e8 | − | 5.24233e8i | 0.128046 | − | 0.545222i | ||||
\(988\) | −4.60215e8 | −0.477188 | ||||||||
\(989\) | −6.91878e7 | + | 3.99456e7i | −0.0715221 | + | 0.0412933i | ||||
\(990\) | −6.46643e7 | + | 2.04612e8i | −0.0666437 | + | 0.210875i | ||||
\(991\) | 8.40136e8 | − | 1.45516e9i | 0.863234 | − | 1.49517i | −0.00555617 | − | 0.999985i | \(-0.501769\pi\) |
0.868790 | − | 0.495180i | \(-0.164898\pi\) | |||||||
\(992\) | 2.08080e8 | − | 1.20135e8i | 0.213155 | − | 0.123065i | ||||
\(993\) | −4.56923e8 | + | 5.68925e8i | −0.466655 | + | 0.581042i | ||||
\(994\) | −2.84944e7 | + | 4.15415e7i | −0.0290136 | + | 0.0422983i | ||||
\(995\) | 7.21802e8i | 0.732738i | ||||||||
\(996\) | −8.64123e7 | + | 5.60184e8i | −0.0874576 | + | 0.566960i | ||||
\(997\) | 7.53613e8 | − | 1.30530e9i | 0.760436 | − | 1.31711i | −0.182190 | − | 0.983263i | \(-0.558319\pi\) |
0.942626 | − | 0.333851i | \(-0.108348\pi\) | |||||||
\(998\) | −1.90707e8 | − | 1.10105e8i | −0.191856 | − | 0.110768i | ||||
\(999\) | −4.22300e7 | − | 6.54364e8i | −0.0423569 | − | 0.656331i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 21.7.h.a.11.8 | yes | 28 | |
3.2 | odd | 2 | inner | 21.7.h.a.11.7 | yes | 28 | |
7.2 | even | 3 | inner | 21.7.h.a.2.7 | ✓ | 28 | |
7.3 | odd | 6 | 147.7.b.d.50.8 | 14 | |||
7.4 | even | 3 | 147.7.b.e.50.8 | 14 | |||
21.2 | odd | 6 | inner | 21.7.h.a.2.8 | yes | 28 | |
21.11 | odd | 6 | 147.7.b.e.50.7 | 14 | |||
21.17 | even | 6 | 147.7.b.d.50.7 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.7.h.a.2.7 | ✓ | 28 | 7.2 | even | 3 | inner | |
21.7.h.a.2.8 | yes | 28 | 21.2 | odd | 6 | inner | |
21.7.h.a.11.7 | yes | 28 | 3.2 | odd | 2 | inner | |
21.7.h.a.11.8 | yes | 28 | 1.1 | even | 1 | trivial | |
147.7.b.d.50.7 | 14 | 21.17 | even | 6 | |||
147.7.b.d.50.8 | 14 | 7.3 | odd | 6 | |||
147.7.b.e.50.7 | 14 | 21.11 | odd | 6 | |||
147.7.b.e.50.8 | 14 | 7.4 | even | 3 |