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 | 11.7 | ||
Character | \(\chi\) | \(=\) | 21.11 |
Dual form | 21.7.h.a.2.7 |
$q$-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 | −0.565731 | − | 0.824590i | \(-0.691406\pi\) |
0.431251 | + | 0.902232i | \(0.358072\pi\) | |||||||
\(3\) | 26.6844 | − | 4.11626i | 0.988311 | − | 0.152454i | ||||
\(4\) | −31.2284 | + | 54.0891i | −0.487943 | + | 0.845143i | ||||
\(5\) | 93.7473 | − | 54.1250i | 0.749978 | − | 0.433000i | −0.0757077 | − | 0.997130i | \(-0.524122\pi\) |
0.825686 | + | 0.564130i | \(0.190788\pi\) | |||||||
\(6\) | −26.1514 | + | 21.0031i | −0.121071 | + | 0.0972366i | ||||
\(7\) | 147.950 | + | 309.451i | 0.431341 | + | 0.902189i | ||||
\(8\) | − | 157.094i | − | 0.306824i | ||||||
\(9\) | 695.113 | − | 219.680i | 0.953516 | − | 0.301344i | ||||
\(10\) | −67.2381 | + | 116.460i | −0.0672381 | + | 0.116460i | ||||
\(11\) | 1895.66 | + | 1094.46i | 1.42424 | + | 0.822283i | 0.996657 | − | 0.0816949i | \(-0.0260333\pi\) |
0.427579 | + | 0.903978i | \(0.359367\pi\) | |||||||
\(12\) | −610.665 | + | 1571.88i | −0.353394 | + | 0.909652i | ||||
\(13\) | −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 | −0.418661 | − | 0.908142i | \(-0.637501\pi\) |
−0.995805 | + | 0.0914999i | \(0.970834\pi\) | |||||||
\(18\) | −611.380 | + | 668.101i | −0.104832 | + | 0.114558i | ||||
\(19\) | −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 | ||||||||
\(21\) | 5221.73 | + | 7648.50i | 0.563841 | + | 0.825883i | ||||
\(22\) | −2719.24 | −0.255375 | ||||||||
\(23\) | 1113.26 | − | 642.738i | 0.0914979 | − | 0.0528263i | −0.453553 | − | 0.891229i | \(-0.649844\pi\) |
0.545051 | + | 0.838403i | \(0.316510\pi\) | |||||||
\(24\) | −646.639 | − | 4191.96i | −0.0467766 | − | 0.303238i | ||||
\(25\) | −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 | \(-0.905771\pi\) | ||
0.956502 | − | 0.291725i | \(-0.0942291\pi\) | |||||||
\(30\) | −1314.83 | + | 3384.43i | −0.0486974 | + | 0.125349i | ||||
\(31\) | −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 | ||||
\(33\) | 55089.6 | + | 21401.9i | 1.53295 | + | 0.595541i | ||||
\(34\) | 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 | ||||
\(39\) | −30368.8 | + | 4684.61i | −0.511958 | + | 0.0789732i | ||||
\(40\) | −8502.72 | − | 14727.1i | −0.132855 | − | 0.230112i | ||||
\(41\) | − | 98678.4i | − | 1.43176i | −0.698223 | − | 0.715881i | \(-0.746025\pi\) | ||
0.698223 | − | 0.715881i | \(-0.253975\pi\) | |||||||
\(42\) | −10368.5 | − | 4985.16i | −0.139949 | − | 0.0672871i | ||||
\(43\) | 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 | ||||
\(45\) | 53274.8 | − | 58217.4i | 0.584634 | − | 0.638874i | ||||
\(46\) | −798.457 | + | 1382.97i | −0.00820310 | + | 0.0142082i | ||||
\(47\) | −50356.5 | + | 29073.3i | −0.485023 | + | 0.280028i | −0.722507 | − | 0.691363i | \(-0.757010\pi\) |
0.237485 | + | 0.971391i | \(0.423677\pi\) | |||||||
\(48\) | −64281.6 | − | 80038.4i | −0.581250 | − | 0.723727i | ||||
\(49\) | −73870.6 | + | 91566.5i | −0.627890 | + | 0.778302i | ||||
\(50\) | − | 4853.48i | − | 0.0388278i | ||||||
\(51\) | −201952. | − | 78457.2i | −1.52243 | − | 0.591455i | ||||
\(52\) | 35540.3 | − | 61557.5i | 0.252761 | − | 0.437795i | ||||
\(53\) | 157157. | + | 90734.5i | 1.05561 | + | 0.609459i | 0.924216 | − | 0.381870i | \(-0.124720\pi\) |
0.131399 | + | 0.991330i | \(0.458053\pi\) | |||||||
\(54\) | −13564.2 | + | 20344.5i | −0.0861418 | + | 0.129201i | ||||
\(55\) | 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 | 0.156336 | − | 0.987704i | \(-0.450032\pi\) |
−0.777209 | + | 0.629243i | \(0.783365\pi\) | |||||||
\(60\) | 27829.8 | + | 180412.i | 0.128842 | + | 0.835239i | ||||
\(61\) | 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 | ||||||
\(63\) | 170822. | + | 182602.i | 0.683159 | + | 0.730269i | ||||
\(64\) | 224976. | 0.858214 | ||||||||
\(65\) | −106692. | + | 61598.4i | −0.388499 | + | 0.224300i | ||||
\(66\) | −72561.2 | + | 11193.1i | −0.252390 | + | 0.0389330i | ||||
\(67\) | −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 | \(-0.947187\pi\) | ||
0.986267 | − | 0.165157i | \(-0.0528131\pi\) | |||||||
\(72\) | −34510.3 | − | 109198.i | −0.0924595 | − | 0.292562i | ||||
\(73\) | 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 | ||||
\(75\) | −38199.6 | + | 98327.5i | −0.0905473 | + | 0.233073i | ||||
\(76\) | 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 | ||||
\(81\) | 434923. | − | 305404.i | 0.818384 | − | 0.574672i | ||||
\(82\) | 61292.8 | + | 106162.i | 0.111165 | + | 0.192544i | ||||
\(83\) | − | 336120.i | − | 0.587841i | −0.955830 | − | 0.293920i | \(-0.905040\pi\) | ||
0.955830 | − | 0.293920i | \(-0.0949600\pi\) | |||||||
\(84\) | −576767. | + | 43588.7i | −0.973112 | + | 0.0735421i | ||||
\(85\) | −868634. | −1.41443 | ||||||||
\(86\) | −66862.5 | + | 38603.1i | −0.105120 | + | 0.0606913i | ||||
\(87\) | −58573.3 | − | 379712.i | −0.0889492 | − | 0.576629i | ||||
\(88\) | 171933. | − | 297797.i | 0.252296 | − | 0.436990i | ||||
\(89\) | −258905. | + | 149479.i | −0.367258 | + | 0.212036i | −0.672260 | − | 0.740315i | \(-0.734676\pi\) |
0.305002 | + | 0.952352i | \(0.401343\pi\) | |||||||
\(90\) | −21154.2 | + | 95723.6i | −0.0290182 | + | 0.131308i | ||||
\(91\) | −168378. | − | 352178.i | −0.223441 | − | 0.467346i | ||||
\(92\) | 80286.7i | 0.103105i | ||||||||
\(93\) | −158976. | + | 409211.i | −0.197643 | + | 0.508743i | ||||
\(94\) | 36117.1 | − | 62556.6i | 0.0434839 | − | 0.0753164i | ||||
\(95\) | −606972. | − | 350436.i | −0.707942 | − | 0.408731i | ||||
\(96\) | 371906. | + | 144483.i | 0.420358 | + | 0.163307i | ||||
\(97\) | −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 | 0.888720 | − | 0.458451i | \(-0.151596\pi\) |
0.0473294 | + | 0.998879i | \(0.484929\pi\) | |||||||
\(102\) | 266001. | − | 41032.6i | 0.250659 | − | 0.0386659i | ||||
\(103\) | −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 | ||||||||
\(105\) | 903499. | + | 434400.i | 0.780476 | + | 0.375251i | ||||
\(106\) | −225434. | −0.189279 | ||||||||
\(107\) | 904064. | − | 521962.i | 0.737985 | − | 0.426076i | −0.0833510 | − | 0.996520i | \(-0.526562\pi\) |
0.821336 | + | 0.570444i | \(0.193229\pi\) | |||||||
\(108\) | −79171.6 | + | 1.22678e6i | −0.0628489 | + | 0.973861i | ||||
\(109\) | −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 | \(0.0470147\pi\) | ||||
−0.989112 | + | 0.147164i | \(0.952985\pi\) | |||||||
\(114\) | 202427. | + | 78641.4i | 0.136632 | + | 0.0530807i | ||||
\(115\) | 69576.4 | − | 120510.i | 0.0457476 | − | 0.0792372i | ||||
\(116\) | 769675. | + | 444372.i | 0.493098 | + | 0.284690i | ||||
\(117\) | −791091. | + | 250012.i | −0.493934 | + | 0.156100i | ||||
\(118\) | 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 | ||||
\(123\) | −406186. | − | 2.63317e6i | −0.218278 | − | 1.41502i | ||||
\(124\) | −507758. | − | 879463.i | −0.266313 | − | 0.461267i | ||||
\(125\) | 2.11433e6i | 1.08254i | ||||||||
\(126\) | −297198. | − | 90346.5i | −0.148571 | − | 0.0451648i | ||||
\(127\) | −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 | ||||
\(129\) | 1.65841e6 | − | 255821.i | 0.772543 | − | 0.119170i | ||||
\(130\) | 76522.1 | − | 132540.i | 0.0348303 | − | 0.0603278i | ||||
\(131\) | −664364. | + | 383571.i | −0.295524 | + | 0.170621i | −0.640430 | − | 0.768016i | \(-0.721244\pi\) |
0.344906 | + | 0.938637i | \(0.387911\pi\) | |||||||
\(132\) | −2.87797e6 | + | 2.31140e6i | −1.25131 | + | 1.00497i | ||||
\(133\) | 1.25618e6 | − | 1.83135e6i | 0.533944 | − | 0.778426i | ||||
\(134\) | − | 468082.i | − | 0.194539i | ||||||
\(135\) | 1.18197e6 | − | 1.77279e6i | 0.480401 | − | 0.720535i | ||||
\(136\) | −630287. | + | 1.09169e6i | −0.250566 | + | 0.433993i | ||||
\(137\) | −1.28937e6 | − | 744416.i | −0.501435 | − | 0.289503i | 0.227871 | − | 0.973691i | \(-0.426824\pi\) |
−0.729306 | + | 0.684188i | \(0.760157\pi\) | |||||||
\(138\) | −15613.7 | + | 40190.3i | −0.00594112 | + | 0.0152927i | ||||
\(139\) | 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 | ||||
\(144\) | −2.04477e6 | − | 1.87118e6i | −0.684791 | − | 0.626653i | ||||
\(145\) | −770186. | − | 1.33400e6i | −0.252634 | − | 0.437575i | ||||
\(146\) | 8484.11i | 0.00272614i | ||||||||
\(147\) | −1.59428e6 | + | 2.74747e6i | −0.501895 | + | 0.864929i | ||||
\(148\) | 2.08070e6 | 0.641837 | ||||||||
\(149\) | 5.57672e6 | − | 3.21972e6i | 1.68585 | − | 0.973329i | 0.728220 | − | 0.685344i | \(-0.240348\pi\) |
0.957635 | − | 0.287985i | \(-0.0929854\pi\) | |||||||
\(150\) | −19978.1 | − | 129512.i | −0.00591945 | − | 0.0383739i | ||||
\(151\) | 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 | ||||||||
\(156\) | 694983. | − | 1.78892e6i | 0.183063 | − | 0.471212i | ||||
\(157\) | −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 | ||||
\(159\) | 4.56712e6 | + | 1.77430e6i | 1.13619 | + | 0.441403i | ||||
\(160\) | 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 | ||||
\(165\) | 6.32288e6 | − | 975349.i | 1.40755 | − | 0.217124i | ||||
\(166\) | 208776. | + | 361611.i | 0.0456412 | + | 0.0790529i | ||||
\(167\) | 4.15217e6i | 0.891509i | 0.895155 | + | 0.445755i | \(0.147065\pi\) | ||||
−0.895155 | + | 0.445755i | \(0.852935\pi\) | |||||||
\(168\) | 1.20153e6 | − | 820303.i | 0.253401 | − | 0.173000i | ||||
\(169\) | −3.53159e6 | −0.731662 | ||||||||
\(170\) | 934512. | − | 539541.i | 0.190212 | − | 0.109819i | ||||
\(171\) | −3.48205e6 | − | 3.18642e6i | −0.696380 | − | 0.637258i | ||||
\(172\) | −1.94081e6 | + | 3.36159e6i | −0.381416 | + | 0.660631i | ||||
\(173\) | 304335. | − | 175708.i | 0.0587778 | − | 0.0339354i | −0.470323 | − | 0.882494i | \(-0.655863\pi\) |
0.529101 | + | 0.848559i | \(0.322529\pi\) | |||||||
\(174\) | 298869. | + | 372128.i | 0.0567327 | + | 0.0706390i | ||||
\(175\) | −1.33604e6 | − | 103912.i | −0.249290 | − | 0.0193889i | ||||
\(176\) | − | 8.32244e6i | − | 1.52656i | ||||||
\(177\) | −3.70568e6 | − | 1.43963e6i | −0.668263 | − | 0.259616i | ||||
\(178\) | 185694. | − | 321632.i | 0.0329259 | − | 0.0570294i | ||||
\(179\) | −2.53567e6 | − | 1.46397e6i | −0.442114 | − | 0.255255i | 0.262380 | − | 0.964965i | \(-0.415493\pi\) |
−0.704494 | + | 0.709710i | \(0.748826\pi\) | |||||||
\(180\) | 1.48524e6 | + | 4.69962e6i | 0.254671 | + | 0.805834i | ||||
\(181\) | 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 | ||||
\(186\) | −83143.3 | − | 538992.i | −0.0129208 | − | 0.0837613i | ||||
\(187\) | −8.78230e6 | − | 1.52114e7i | −1.34302 | − | 2.32618i | ||||
\(188\) | − | 3.63165e6i | − | 0.546551i | ||||||
\(189\) | 5.30991e6 | + | 4.16947e6i | 0.786506 | + | 0.617582i | ||||
\(190\) | 870674. | 0.126939 | ||||||||
\(191\) | −9.19484e6 | + | 5.30864e6i | −1.31960 | + | 0.761874i | −0.983665 | − | 0.180009i | \(-0.942387\pi\) |
−0.335940 | + | 0.941883i | \(0.609054\pi\) | |||||||
\(192\) | 6.00334e6 | − | 926057.i | 0.848182 | − | 0.130838i | ||||
\(193\) | −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 | \(0.347191\pi\) | ||||
−0.461834 | + | 0.886966i | \(0.652809\pi\) | |||||||
\(198\) | −1.89018e6 | + | 597361.i | −0.243504 | + | 0.0769558i | ||||
\(199\) | 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 | ||||
\(201\) | −3.68407e6 | + | 9.48296e6i | −0.453670 | + | 1.16777i | ||||
\(202\) | −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 | ||||
\(207\) | 632642. | − | 691335.i | 0.0713258 | − | 0.0779431i | ||||
\(208\) | 2.16353e6 | + | 3.74734e6i | 0.240421 | + | 0.416421i | ||||
\(209\) | − | 1.41723e7i | − | 1.55239i | ||||||
\(210\) | −1.24184e6 | + | 93851.3i | −0.134094 | + | 0.0101340i | ||||
\(211\) | −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 | ||||
\(213\) | −486636. | − | 3.15471e6i | −0.0503577 | − | 0.326453i | ||||
\(214\) | −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 | ||||||
\(219\) | 66774.8 | − | 171881.i | 0.00635741 | − | 0.0163643i | ||||
\(220\) | −7.39958e6 | + | 1.28164e7i | −0.694927 | + | 1.20365i | ||||
\(221\) | 7.90880e6 | + | 4.56615e6i | 0.732713 | + | 0.423032i | ||||
\(222\) | 1.04157e6 | + | 404643.i | 0.0951983 | + | 0.0369839i | ||||
\(223\) | 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 | 0.462052 | − | 0.886853i | \(-0.347113\pi\) |
−0.537011 | + | 0.843575i | \(0.680447\pi\) | |||||||
\(228\) | 1.07906e7 | − | 1.66453e6i | 0.910421 | − | 0.140439i | ||||
\(229\) | 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 | ||||||||
\(231\) | 1.52765e6 | + | 2.02139e7i | 0.123933 | + | 1.63989i | ||||
\(232\) | −2.23541e6 | −0.179016 | ||||||||
\(233\) | 6.84600e6 | − | 3.95254e6i | 0.541214 | − | 0.312470i | −0.204357 | − | 0.978896i | \(-0.565510\pi\) |
0.745571 | + | 0.666426i | \(0.232177\pi\) | |||||||
\(234\) | 695797. | − | 760349.i | 0.0543044 | − | 0.0593425i | ||||
\(235\) | −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 | \(-0.983996\pi\) | ||
0.998736 | − | 0.0502564i | \(-0.0160039\pi\) | |||||||
\(240\) | −1.03583e7 | − | 4.02414e6i | −0.749299 | − | 0.291098i | ||||
\(241\) | 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 | ||||
\(243\) | 1.03485e7 | − | 9.93978e6i | 0.721207 | − | 0.692720i | ||||
\(244\) | −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 | ||||
\(249\) | −1.38355e6 | − | 8.96914e6i | −0.0896186 | − | 0.580969i | ||||
\(250\) | −1.31329e6 | − | 2.27469e6i | −0.0840506 | − | 0.145580i | ||||
\(251\) | − | 1.03251e7i | − | 0.652939i | −0.945208 | − | 0.326470i | \(-0.894141\pi\) | ||
0.945208 | − | 0.326470i | \(-0.105859\pi\) | |||||||
\(252\) | −1.52113e7 | + | 3.53726e6i | −0.950525 | + | 0.221037i | ||||
\(253\) | 2.81380e6 | 0.173753 | ||||||||
\(254\) | 976524. | − | 563797.i | 0.0595912 | − | 0.0344050i | ||||
\(255\) | −2.31790e7 | + | 3.57552e6i | −1.39789 | + | 0.215635i | ||||
\(256\) | −6.43819e6 | + | 1.11513e7i | −0.383746 | + | 0.664667i | ||||
\(257\) | −1.64386e7 | + | 9.49082e6i | −0.968423 | + | 0.559119i | −0.898755 | − | 0.438451i | \(-0.855527\pi\) |
−0.0696675 | + | 0.997570i | \(0.522194\pi\) | |||||||
\(258\) | −1.62528e6 | + | 1.30532e6i | −0.0946391 | + | 0.0760079i | ||||
\(259\) | 6.46355e6 | − | 9.42308e6i | 0.372025 | − | 0.542367i | ||||
\(260\) | − | 7.69447e6i | − | 0.437783i | ||||||
\(261\) | −3.12599e6 | − | 9.89128e6i | −0.175819 | − | 0.556328i | ||||
\(262\) | 476500. | − | 825323.i | 0.0264947 | − | 0.0458902i | ||||
\(263\) | 6.17079e6 | + | 3.56271e6i | 0.339214 | + | 0.195845i | 0.659924 | − | 0.751332i | \(-0.270588\pi\) |
−0.320710 | + | 0.947177i | \(0.603922\pi\) | |||||||
\(264\) | 3.36212e6 | − | 8.65424e6i | 0.182726 | − | 0.470346i | ||||
\(265\) | 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 | −0.211631 | − | 0.977350i | \(-0.567878\pi\) |
−0.952225 | + | 0.305397i | \(0.901211\pi\) | |||||||
\(270\) | −170465. | + | 2.64140e6i | −0.00866053 | + | 0.134197i | ||||
\(271\) | 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 | ||||||||
\(273\) | −5.94273e6 | − | 8.70458e6i | −0.292077 | − | 0.427819i | ||||
\(274\) | 1.84954e6 | 0.0899107 | ||||||||
\(275\) | −7.40620e6 | + | 4.27597e6i | −0.356121 | + | 0.205606i | ||||
\(276\) | 330481. | + | 2.14240e6i | 0.0157188 | + | 0.101900i | ||||
\(277\) | 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 | \(-0.860532\pi\) | ||
0.905537 | − | 0.424268i | \(-0.139468\pi\) | |||||||
\(282\) | 706263. | − | 1.81795e6i | 0.0314934 | − | 0.0810653i | ||||
\(283\) | 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 | ||||
\(285\) | −1.76392e7 | − | 6.85270e6i | −0.761980 | − | 0.296024i | ||||
\(286\) | 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 | ||||
\(291\) | −1.43903e7 | + | 2.21981e6i | −0.583972 | + | 0.0900818i | ||||
\(292\) | 213274. | + | 369402.i | 0.00856623 | + | 0.0148371i | ||||
\(293\) | − | 6.98437e6i | − | 0.277667i | −0.990316 | − | 0.138833i | \(-0.955665\pi\) | ||
0.990316 | − | 0.138833i | \(-0.0443353\pi\) | |||||||
\(294\) | 8638.93 | − | 3.94610e6i | 0.000339952 | − | 0.155284i | ||||
\(295\) | −1.59388e7 | −0.620854 | ||||||||
\(296\) | −4.53232e6 | + | 2.61674e6i | −0.174762 | + | 0.100899i | ||||
\(297\) | 4.29950e7 | + | 2.77472e6i | 1.64115 | + | 0.105913i | ||||
\(298\) | −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 | ||||||||
\(303\) | 2.80267e7 | + | 1.08882e7i | 1.00750 | + | 0.391407i | ||||
\(304\) | −1.23084e7 | + | 2.13187e7i | −0.438107 | + | 0.758824i | ||||
\(305\) | 1.18931e6 | + | 686647.i | 0.0419174 | + | 0.0242010i | ||||
\(306\) | 6.92918e6 | − | 2.18986e6i | 0.241834 | − | 0.0764279i | ||||
\(307\) | −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 | 0.943049 | − | 0.332654i | \(-0.107944\pi\) |
0.183438 | + | 0.983031i | \(0.441277\pi\) | |||||||
\(312\) | 735924. | + | 4.77076e6i | 0.0242309 | + | 0.157081i | ||||
\(313\) | −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 | ||||||
\(315\) | 2.58974e7 | + | 7.87267e6i | 0.828562 | + | 0.251878i | ||||
\(316\) | 2.29456e7 | 0.727175 | ||||||||
\(317\) | 2.95640e7 | − | 1.70688e7i | 0.928081 | − | 0.535828i | 0.0418770 | − | 0.999123i | \(-0.486666\pi\) |
0.886204 | + | 0.463295i | \(0.153333\pi\) | |||||||
\(318\) | −6.01558e6 | + | 927945.i | −0.187066 | + | 0.0288563i | ||||
\(319\) | 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 | ||||||||
\(324\) | 2.93711e6 | + | 3.30619e7i | 0.0863546 | + | 0.972059i | ||||
\(325\) | 2.22319e6 | − | 3.85068e6i | 0.0647629 | − | 0.112173i | ||||
\(326\) | −7.46710e6 | − | 4.31113e6i | −0.215526 | − | 0.124434i | ||||
\(327\) | −1.84531e7 | + | 4.74990e7i | −0.527746 | + | 1.35844i | ||||
\(328\) | −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 | ||||
\(333\) | −1.79166e7 | − | 1.63955e7i | −0.485202 | − | 0.444009i | ||||
\(334\) | −2.57907e6 | − | 4.46708e6i | −0.0692187 | − | 0.119890i | ||||
\(335\) | 4.07880e7i | 1.08492i | ||||||||
\(336\) | 1.52575e7 | − | 3.17337e7i | 0.402221 | − | 0.836571i | ||||
\(337\) | −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 | ||||
\(339\) | 1.74812e6 | + | 1.13325e7i | 0.0448716 | + | 0.290888i | ||||
\(340\) | 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 | ||||||
\(345\) | 1.36055e6 | − | 3.50213e6i | 0.0331328 | − | 0.0852854i | ||||
\(346\) | −218277. | + | 378067.i | −0.00526963 | + | 0.00912727i | ||||
\(347\) | −7.20769e7 | − | 4.16136e7i | −1.72507 | − | 0.995972i | −0.907371 | − | 0.420331i | \(-0.861914\pi\) |
−0.817703 | − | 0.575641i | \(-0.804753\pi\) | |||||||
\(348\) | 2.23675e7 | + | 8.68962e6i | 0.530736 | + | 0.206188i | ||||
\(349\) | −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 | 0.172538 | − | 0.985003i | \(-0.444803\pi\) |
−0.766769 | + | 0.641923i | \(0.778137\pi\) | |||||||
\(354\) | 4.88093e6 | − | 752918.i | 0.110025 | − | 0.0169722i | ||||
\(355\) | −6.39883e6 | − | 1.10831e7i | −0.143026 | − | 0.247728i | ||||
\(356\) | − | 1.86720e7i | − | 0.413847i | ||||||
\(357\) | −5.60020e6 | − | 7.41020e7i | −0.123083 | − | 1.62864i | ||||
\(358\) | 3.63731e6 | 0.0792741 | ||||||||
\(359\) | 2.88160e7 | − | 1.66369e7i | 0.622802 | − | 0.359575i | −0.155157 | − | 0.987890i | \(-0.549588\pi\) |
0.777959 | + | 0.628315i | \(0.216255\pi\) | |||||||
\(360\) | −9.14560e6 | − | 8.36915e6i | −0.196022 | − | 0.179380i | ||||
\(361\) | 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 | ||||||
\(366\) | −396637. | − | 154091.i | −0.00809002 | − | 0.00314292i | ||||
\(367\) | −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 | ||||
\(369\) | −2.16776e7 | − | 6.85926e7i | −0.431452 | − | 1.36521i | ||||
\(370\) | 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 | ||||
\(375\) | 8.70313e6 | + | 5.64197e7i | 0.165037 | + | 1.06988i | ||||
\(376\) | 4.56725e6 | + | 7.91071e6i | 0.0859194 | + | 0.148817i | ||||
\(377\) | 1.61945e7i | 0.302235i | ||||||||
\(378\) | −8.30244e6 | − | 1.18750e6i | −0.153720 | − | 0.0219866i | ||||
\(379\) | 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 | ||||
\(381\) | −2.42210e7 | + | 3.73626e6i | −0.437942 | + | 0.0675557i | ||||
\(382\) | 6.59479e6 | − | 1.14225e7i | 0.118307 | − | 0.204914i | ||||
\(383\) | 5.55908e7 | − | 3.20953e7i | 0.989478 | − | 0.571276i | 0.0843599 | − | 0.996435i | \(-0.473115\pi\) |
0.905118 | + | 0.425160i | \(0.139782\pi\) | |||||||
\(384\) | −2.57925e7 | + | 2.07148e7i | −0.455512 | + | 0.365837i | ||||
\(385\) | 3.50568e7 | + | 7.33245e7i | 0.614314 | + | 1.28489i | ||||
\(386\) | − | 1.30504e7i | − | 0.226915i | ||||||
\(387\) | 4.32006e7 | − | 1.36529e7i | 0.745344 | − | 0.235554i | ||||
\(388\) | 1.68408e7 | − | 2.91691e7i | 0.288315 | − | 0.499377i | ||||
\(389\) | 6.23015e7 | + | 3.59698e7i | 1.05840 | + | 0.611068i | 0.924989 | − | 0.379993i | \(-0.124074\pi\) |
0.133411 | + | 0.991061i | \(0.457407\pi\) | |||||||
\(390\) | 1.49638e6 | − | 3.85174e6i | 0.0252259 | − | 0.0649326i | ||||
\(391\) | −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 | ||||
\(396\) | −6.72826e7 | + | 7.35247e7i | −1.08347 | + | 1.18399i | ||||
\(397\) | 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 | ||||||||
\(399\) | 2.59820e7 | − | 5.40393e7i | 0.409028 | − | 0.850728i | ||||
\(400\) | 1.48544e7 | 0.232101 | ||||||||
\(401\) | −2.30420e7 | + | 1.33033e7i | −0.357345 | + | 0.206313i | −0.667915 | − | 0.744237i | \(-0.732813\pi\) |
0.310571 | + | 0.950550i | \(0.399480\pi\) | |||||||
\(402\) | −1.92674e6 | − | 1.24905e7i | −0.0296583 | − | 0.192265i | ||||
\(403\) | 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 | ||||||
\(408\) | −1.23252e7 | + | 3.17255e7i | −0.181473 | + | 0.467119i | ||||
\(409\) | −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 | ||||
\(411\) | −3.74701e7 | − | 1.45569e7i | −0.539709 | − | 0.209674i | ||||
\(412\) | 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 | ||||
\(417\) | 7.71490e7 | − | 1.19008e7i | 1.06395 | − | 0.164122i | ||||
\(418\) | 8.80293e6 | + | 1.52471e7i | 0.120531 | + | 0.208766i | ||||
\(419\) | 6.08521e6i | 0.0827244i | 0.999144 | + | 0.0413622i | \(0.0131698\pi\) | ||||
−0.999144 | + | 0.0413622i | \(0.986830\pi\) | |||||||
\(420\) | −5.17111e7 | + | 3.53039e7i | −0.697969 | + | 0.476513i | ||||
\(421\) | 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 | ||||
\(423\) | −2.86166e7 | + | 3.12715e7i | −0.378092 | + | 0.413170i | ||||
\(424\) | 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 | ||||||||
\(429\) | −6.26961e7 | − | 2.43570e7i | −0.794088 | − | 0.308498i | ||||
\(430\) | −4.17879e6 | + | 7.23787e6i | −0.0525587 | + | 0.0910344i | ||||
\(431\) | 5.46582e6 | + | 3.15569e6i | 0.0682690 | + | 0.0394151i | 0.533746 | − | 0.845645i | \(-0.320784\pi\) |
−0.465477 | + | 0.885060i | \(0.654117\pi\) | |||||||
\(432\) | −6.22658e7 | − | 4.15144e7i | −0.772322 | − | 0.514929i | ||||
\(433\) | −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 | ||||
\(438\) | 34922.8 | + | 226393.i | 0.000415610 | + | 0.00269427i | ||||
\(439\) | 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 | ||||||
\(441\) | −3.12331e7 | + | 7.98769e7i | −0.364166 | + | 0.931334i | ||||
\(442\) | −1.13448e7 | −0.131380 | ||||||||
\(443\) | −1.43914e8 | + | 8.30887e7i | −1.65536 | + | 0.955721i | −0.680541 | + | 0.732710i | \(0.738255\pi\) |
−0.974816 | + | 0.223010i | \(0.928412\pi\) | |||||||
\(444\) | 5.55223e7 | − | 8.56471e6i | 0.634335 | − | 0.0978506i | ||||
\(445\) | −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 | \(0.112981\pi\) | ||||
−0.937667 | + | 0.347535i | \(0.887019\pi\) | |||||||
\(450\) | −1.06621e6 | − | 3.37371e6i | −0.0117005 | − | 0.0370229i | ||||
\(451\) | 1.07999e8 | − | 1.87061e8i | 1.17731 | − | 2.03917i | ||||
\(452\) | −2.29709e7 | − | 1.32623e7i | −0.248750 | − | 0.143616i | ||||
\(453\) | 2.37815e7 | − | 6.12147e7i | 0.255826 | − | 0.658508i | ||||
\(454\) | 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 | ||||
\(459\) | −1.57615e8 | − | 1.01718e7i | −1.62989 | − | 0.105187i | ||||
\(460\) | 4.34552e6 | + | 7.52666e6i | 0.0446445 | + | 0.0773266i | ||||
\(461\) | − | 1.43451e8i | − | 1.46420i | −0.681197 | − | 0.732101i | \(-0.738540\pi\) | ||
0.681197 | − | 0.732101i | \(-0.261460\pi\) | |||||||
\(462\) | −1.41991e7 | − | 2.07981e7i | −0.143991 | − | 0.210910i | ||||
\(463\) | −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 | ||||
\(465\) | 7.24499e6 | + | 4.69670e7i | 0.0720575 | + | 0.467126i | ||||
\(466\) | −4.91014e6 | + | 8.50461e6i | −0.0485217 | + | 0.0840420i | ||||
\(467\) | 9.64861e7 | − | 5.57062e7i | 0.947358 | − | 0.546957i | 0.0550984 | − | 0.998481i | \(-0.482453\pi\) |
0.892259 | + | 0.451524i | \(0.149119\pi\) | |||||||
\(468\) | 1.11816e7 | − | 5.05969e7i | 0.109085 | − | 0.493613i | ||||
\(469\) | −1.28851e8 | − | 1.00216e7i | −1.24902 | − | 0.0971442i | ||||
\(470\) | − | 7.81935e6i | − | 0.0753142i | ||||||
\(471\) | −3.66844e7 | + | 9.44272e7i | −0.351090 | + | 0.903721i | ||||
\(472\) | −1.15653e7 | + | 2.00317e7i | −0.109984 | + | 0.190499i | ||||
\(473\) | 1.17813e8 | + | 6.80196e7i | 1.11330 | + | 0.642762i | ||||
\(474\) | 1.14862e7 | + | 4.46234e6i | 0.107856 | + | 0.0419013i | ||||
\(475\) | 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 | 0.932250 | − | 0.361816i | \(-0.117843\pi\) |
0.152783 | + | 0.988260i | \(0.451176\pi\) | |||||||
\(480\) | 4.26853e7 | − | 6.58452e6i | 0.385971 | − | 0.0595388i | ||||
\(481\) | 1.89571e7 | + | 3.28347e7i | 0.170348 | + | 0.295051i | ||||
\(482\) | 2.41816e7i | 0.215945i | ||||||||
\(483\) | 1.07291e7 | + | 5.15853e6i | 0.0952187 | + | 0.0457809i | ||||
\(484\) | −1.88607e8 | −1.66350 | ||||||||
\(485\) | −5.05559e7 | + | 2.91885e7i | −0.443146 | + | 0.255851i | ||||
\(486\) | −4.95941e6 | + | 1.71215e7i | −0.0432037 | + | 0.149153i | ||||
\(487\) | −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 | \(-0.816056\pi\) | ||
0.837624 | − | 0.546247i | \(-0.183944\pi\) | |||||||
\(492\) | 1.55111e8 | + | 6.02595e7i | 1.30241 | + | 0.505976i | ||||
\(493\) | −5.70921e7 | + | 9.88864e7i | −0.476470 | + | 0.825270i | ||||
\(494\) | −7.92737e6 | − | 4.57687e6i | −0.0657580 | − | 0.0379654i | ||||
\(495\) | 1.64707e8 | − | 5.20532e7i | 1.35799 | − | 0.429172i | ||||
\(496\) | 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 | ||||
\(501\) | 1.70914e7 | + | 1.10798e8i | 0.135914 | + | 0.881088i | ||||
\(502\) | 6.41330e6 | + | 1.11082e7i | 0.0506956 | + | 0.0878074i | ||||
\(503\) | − | 8.30280e6i | − | 0.0652410i | −0.999468 | − | 0.0326205i | \(-0.989615\pi\) | ||
0.999468 | − | 0.0326205i | \(-0.0103853\pi\) | |||||||
\(504\) | 2.86856e7 | − | 2.68351e7i | 0.224064 | − | 0.209610i | ||||
\(505\) | 1.20548e8 | 0.936022 | ||||||||
\(506\) | −3.02720e6 | + | 1.74776e6i | −0.0233663 | + | 0.0134905i | ||||
\(507\) | −9.42384e7 | + | 1.45369e7i | −0.723109 | + | 0.111545i | ||||
\(508\) | 2.83455e7 | − | 4.90959e7i | 0.216219 | − | 0.374502i | ||||
\(509\) | −1.01513e8 | + | 5.86088e7i | −0.769786 | + | 0.444436i | −0.832798 | − | 0.553577i | \(-0.813263\pi\) |
0.0630124 | + | 0.998013i | \(0.479929\pi\) | |||||||
\(510\) | 2.27160e7 | − | 1.82440e7i | 0.171246 | − | 0.137534i | ||||
\(511\) | 2.33546e6 | + | 181644.i | 0.0175029 | + | 0.00136131i | ||||
\(512\) | − | 9.44104e7i | − | 0.703412i | ||||||
\(513\) | −1.06032e8 | − | 7.06948e7i | −0.785392 | − | 0.523643i | ||||
\(514\) | 1.17902e7 | − | 2.04212e7i | 0.0868224 | − | 0.150381i | ||||
\(515\) | −3.55061e7 | − | 2.04994e7i | −0.259945 | − | 0.150079i | ||||
\(516\) | −3.79523e7 | + | 9.76908e7i | −0.276241 | + | 0.711057i | ||||
\(517\) | −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 | 0.518356 | − | 0.855165i | \(-0.326544\pi\) |
−0.481417 | + | 0.876492i | \(0.659878\pi\) | |||||||
\(522\) | 9.50691e6 | + | 8.69979e6i | 0.0668387 | + | 0.0611642i | ||||
\(523\) | −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 | ||||||
\(525\) | −3.60792e7 | + | 2.72665e6i | −0.249332 | + | 0.0188431i | ||||
\(526\) | −8.85172e6 | −0.0608234 | ||||||||
\(527\) | 1.12992e8 | − | 6.52358e7i | 0.771996 | − | 0.445712i | ||||
\(528\) | −3.42573e7 | − | 2.22079e8i | −0.232729 | − | 1.50871i | ||||
\(529\) | −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 | ||||||||
\(534\) | 3.63121e6 | − | 9.34690e6i | 0.0238467 | − | 0.0613824i | ||||
\(535\) | 5.65024e7 | − | 9.78650e7i | 0.368982 | − | 0.639096i | ||||
\(536\) | 5.12618e7 | + | 2.95960e7i | 0.332889 | + | 0.192194i | ||||
\(537\) | −7.36889e7 | − | 2.86277e7i | −0.475860 | − | 0.184869i | ||||
\(538\) | 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 | ||||
\(543\) | 1.51123e8 | − | 2.33118e7i | 0.943912 | − | 0.145605i | ||||
\(544\) | −5.92887e7 | − | 1.02691e8i | −0.368278 | − | 0.637876i | ||||
\(545\) | 2.04302e8i | 1.26207i | ||||||||
\(546\) | 1.18002e7 | + | 5.67349e6i | 0.0724954 | + | 0.0348556i | ||||
\(547\) | 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 | ||||
\(549\) | 6.82276e6 | + | 6.24351e6i | 0.0412328 | + | 0.0377322i | ||||
\(550\) | 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 | ||||||||
\(555\) | −9.07609e7 | − | 3.52600e7i | −0.530909 | − | 0.206255i | ||||
\(556\) | −9.02864e7 | + | 1.56381e8i | −0.525289 | + | 0.909826i | ||||
\(557\) | −7.49781e7 | − | 4.32886e7i | −0.433879 | − | 0.250500i | 0.267119 | − | 0.963664i | \(-0.413928\pi\) |
−0.700998 | + | 0.713163i | \(0.747262\pi\) | |||||||
\(558\) | −4.43726e6 | − | 1.40404e7i | −0.0255395 | − | 0.0808123i | ||||
\(559\) | −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 | 0.336909 | − | 0.941537i | \(-0.390618\pi\) |
−0.646941 | + | 0.762540i | \(0.723952\pi\) | |||||||
\(564\) | −1.49488e7 | − | 9.69084e7i | −0.0833239 | − | 0.540162i | ||||
\(565\) | 2.29862e7 | + | 3.98132e7i | 0.127445 | + | 0.220740i | ||||
\(566\) | 6.14038e6i | 0.0338646i | ||||||||
\(567\) | 1.58854e8 | + | 8.94027e7i | 0.871465 | + | 0.490457i | ||||
\(568\) | −1.85721e7 | −0.101348 | ||||||||
\(569\) | 5.60028e7 | − | 3.23332e7i | 0.303999 | − | 0.175514i | −0.340239 | − | 0.940339i | \(-0.610508\pi\) |
0.644238 | + | 0.764825i | \(0.277175\pi\) | |||||||
\(570\) | 2.32334e7 | − | 3.58392e6i | 0.125455 | − | 0.0193523i | ||||
\(571\) | 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 | ||||||||
\(576\) | 1.56383e8 | − | 4.94225e7i | 0.818320 | − | 0.258617i | ||||
\(577\) | −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 | ||||
\(579\) | −1.02714e8 | + | 2.64392e8i | −0.529171 | + | 1.36211i | ||||
\(580\) | 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 | ||||
\(585\) | −6.06307e7 | + | 6.62558e7i | −0.302848 | + | 0.330945i | ||||
\(586\) | 4.33825e6 | + | 7.51407e6i | 0.0215587 | + | 0.0373407i | ||||
\(587\) | − | 1.92773e7i | − | 0.0953085i | −0.998864 | − | 0.0476543i | \(-0.984825\pi\) | ||
0.998864 | − | 0.0476543i | \(-0.0151746\pi\) | |||||||
\(588\) | −9.88213e7 | − | 1.72032e8i | −0.486092 | − | 0.846209i | ||||
\(589\) | 1.05273e8 | 0.515195 | ||||||||
\(590\) | 1.71476e7 | − | 9.90019e6i | 0.0834926 | − | 0.0482045i | ||||
\(591\) | 5.58262e7 | + | 3.61904e8i | 0.270443 | + | 1.75320i | ||||
\(592\) | −6.33318e7 | + | 1.09694e8i | −0.305251 | + | 0.528710i | ||||
\(593\) | 1.49484e8 | − | 8.63049e7i | 0.716856 | − | 0.413877i | −0.0967384 | − | 0.995310i | \(-0.530841\pi\) |
0.813594 | + | 0.581433i | \(0.197508\pi\) | |||||||
\(594\) | −4.79793e7 | + | 2.37207e7i | −0.228926 | + | 0.113179i | ||||
\(595\) | −1.28514e8 | − | 2.68800e8i | −0.610100 | − | 1.27608i | ||||
\(596\) | 4.02187e8i | 1.89972i | ||||||||
\(597\) | 6.51949e7 | − | 1.67815e8i | 0.306401 | − | 0.788691i | ||||
\(598\) | 908705. | − | 1.57392e6i | 0.00424932 | − | 0.00736004i | ||||
\(599\) | −1.36708e8 | − | 7.89282e7i | −0.636081 | − | 0.367242i | 0.147022 | − | 0.989133i | \(-0.453031\pi\) |
−0.783103 | + | 0.621892i | \(0.786364\pi\) | |||||||
\(600\) | 1.54467e7 | + | 6.00093e6i | 0.0715123 | + | 0.0277821i | ||||
\(601\) | 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 | ||||
\(606\) | −3.69153e7 | + | 5.69445e6i | −0.165878 | + | 0.0255879i | ||||
\(607\) | 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 | ||||||
\(609\) | 1.08836e8 | − | 7.43040e7i | 0.481861 | − | 0.328973i | ||||
\(610\) | −1.70601e6 | −0.00751608 | ||||||||
\(611\) | 5.73095e7 | − | 3.30877e7i | 0.251248 | − | 0.145058i | ||||
\(612\) | 2.46650e8 | − | 2.69533e8i | 1.07604 | − | 1.17587i | ||||
\(613\) | −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 | \(-0.884866\pi\) | ||
0.935296 | − | 0.353868i | \(-0.115134\pi\) | |||||||
\(618\) | 1.18413e7 | + | 4.60029e6i | 0.0501690 | + | 0.0194904i | ||||
\(619\) | −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 | ||||
\(621\) | 1.40359e7 | − | 2.10520e7i | 0.0586093 | − | 0.0879059i | ||||
\(622\) | −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 | ||||
\(627\) | −5.83367e7 | − | 3.78178e8i | −0.236668 | − | 1.53424i | ||||
\(628\) | −1.17167e8 | − | 2.02940e8i | −0.473073 | − | 0.819386i | ||||
\(629\) | 2.67325e8i | 1.07421i | ||||||||
\(630\) | −3.27515e7 | + | 7.61611e6i | −0.130981 | + | 0.0304587i | ||||
\(631\) | −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 | ||||
\(633\) | −1.18557e8 | + | 1.82883e7i | −0.467430 | + | 0.0721045i | ||||
\(634\) | −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 | ||||||||
\(639\) | −2.59712e7 | − | 8.21784e7i | −0.0995381 | − | 0.314960i | ||||
\(640\) | −6.63153e7 | + | 1.14862e8i | −0.252973 | + | 0.438162i | ||||
\(641\) | −2.25480e8 | − | 1.30181e8i | −0.856118 | − | 0.494280i | 0.00659247 | − | 0.999978i | \(-0.497902\pi\) |
−0.862710 | + | 0.505698i | \(0.831235\pi\) | |||||||
\(642\) | −1.26797e7 | + | 3.26382e7i | −0.0479187 | + | 0.123345i | ||||
\(643\) | 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 | 0.814121 | − | 0.580695i | \(-0.197219\pi\) |
−0.0958359 | + | 0.995397i | \(0.530552\pi\) | |||||||
\(648\) | −4.79772e7 | − | 6.83238e7i | −0.176323 | − | 0.251100i | ||||
\(649\) | −1.61149e8 | − | 2.79118e8i | −0.589513 | − | 1.02107i | ||||
\(650\) | 5.52362e6i | 0.0201133i | ||||||||
\(651\) | −1.50151e8 | + | 1.13475e7i | −0.544234 | + | 0.0411300i | ||||
\(652\) | −4.33494e8 | −1.56401 | ||||||||
\(653\) | 4.95778e7 | − | 2.86237e7i | 0.178052 | − | 0.102798i | −0.408325 | − | 0.912837i | \(-0.633887\pi\) |
0.586377 | + | 0.810038i | \(0.300554\pi\) | |||||||
\(654\) | −9.65083e6 | − | 6.25633e7i | −0.0345010 | − | 0.223659i | ||||
\(655\) | −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 | \(-0.818576\pi\) | ||
0.841922 | − | 0.539600i | \(-0.181424\pi\) | |||||||
\(660\) | −1.44697e8 | + | 3.72458e8i | −0.503302 | + | 1.29552i | ||||
\(661\) | 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 | ||||
\(663\) | 2.29837e8 | + | 8.92902e7i | 0.788641 | + | 0.306382i | ||||
\(664\) | −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 | ||||
\(669\) | 4.82695e8 | − | 7.44591e7i | 1.61211 | − | 0.248679i | ||||
\(670\) | −2.53349e7 | − | 4.38814e7i | −0.0842355 | − | 0.145900i | ||||
\(671\) | 2.77693e7i | 0.0919173i | ||||||||
\(672\) | 1.03131e7 | + | 1.36463e8i | 0.0339844 | + | 0.449683i | ||||
\(673\) | −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 | ||||
\(675\) | −4.95251e6 | + | 7.67404e7i | −0.0161033 | + | 0.249524i | ||||
\(676\) | 1.10286e8 | − | 1.91021e8i | 0.357010 | − | 0.618359i | ||||
\(677\) | −3.77212e8 | + | 2.17784e8i | −1.21568 | + | 0.701874i | −0.963991 | − | 0.265934i | \(-0.914320\pi\) |
−0.251690 | + | 0.967808i | \(0.580986\pi\) | |||||||
\(678\) | −8.91973e6 | − | 1.11061e7i | −0.0286195 | − | 0.0356348i | ||||
\(679\) | −7.97863e7 | − | 1.66880e8i | −0.254870 | − | 0.533084i | ||||
\(680\) | 1.36457e8i | 0.433980i | ||||||||
\(681\) | −2.54807e7 | − | 9.89911e6i | −0.0806809 | − | 0.0313440i | ||||
\(682\) | 2.21067e7 | − | 3.82900e7i | 0.0696901 | − | 0.120707i | ||||
\(683\) | 3.62730e8 | + | 2.09422e8i | 1.13847 | + | 0.657296i | 0.946051 | − | 0.324017i | \(-0.105034\pi\) |
0.192419 | + | 0.981313i | \(0.438367\pi\) | |||||||
\(684\) | 2.81090e8 | − | 8.88340e7i | 0.878368 | − | 0.277594i | ||||
\(685\) | −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 | ||||
\(690\) | 711561. | + | 4.61283e6i | 0.00216603 | + | 0.0140417i | ||||
\(691\) | 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 | ||||||||
\(693\) | 1.23970e8 | + | 5.33108e8i | 0.372492 | + | 1.60183i | ||||
\(694\) | 1.03391e8 | 0.309318 | ||||||||
\(695\) | 2.71039e8 | − | 1.56484e8i | 0.807379 | − | 0.466140i | ||||
\(696\) | −5.96505e7 | + | 9.20152e6i | −0.176924 | + | 0.0272918i | ||||
\(697\) | −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 | \(-0.764949\pi\) | ||
0.739522 | − | 0.673132i | \(-0.235051\pi\) | |||||||
\(702\) | 1.54371e7 | − | 2.31535e7i | 0.0446226 | − | 0.0669277i | ||||
\(703\) | −1.07848e8 | + | 1.86798e8i | −0.310417 | + | 0.537657i | ||||
\(704\) | 4.26477e8 | + | 2.46227e8i | 1.22230 | + | 0.705695i | ||||
\(705\) | −6.15427e7 | + | 1.58414e8i | −0.175634 | + | 0.452091i | ||||
\(706\) | 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 | ||||
\(711\) | −1.97581e8 | − | 1.80807e8i | −0.549714 | − | 0.503044i | ||||
\(712\) | 2.34823e7 | + | 4.06725e7i | 0.0650579 | + | 0.112684i | ||||
\(713\) | 2.09012e7i | 0.0576637i | ||||||||
\(714\) | 5.20524e7 | + | 7.62435e7i | 0.143003 | + | 0.209463i | ||||
\(715\) | −2.69668e8 | −0.737752 | ||||||||
\(716\) | 1.58370e8 | − | 9.14349e7i | 0.431453 | − | 0.249100i | ||||
\(717\) | −5.64830e6 | − | 3.66161e7i | −0.0153236 | − | 0.0993379i | ||||
\(718\) | −2.06676e7 | + | 3.57973e7i | −0.0558363 | + | 0.0967114i | ||||
\(719\) | 5.60213e8 | − | 3.23439e8i | 1.50718 | − | 0.870173i | 0.507219 | − | 0.861817i | \(-0.330673\pi\) |
0.999965 | − | 0.00835616i | \(-0.00265988\pi\) | |||||||
\(720\) | −2.92970e8 | − | 6.47442e7i | −0.784919 | − | 0.173462i | ||||
\(721\) | 7.34825e7 | − | 1.07129e8i | 0.196055 | − | 0.285825i | ||||
\(722\) | 6.36790e6i | 0.0169194i | ||||||||
\(723\) | 1.90323e8 | − | 4.89900e8i | 0.503589 | − | 1.29626i | ||||
\(724\) | −1.76857e8 | + | 3.06326e8i | −0.466023 | + | 0.807176i | ||||
\(725\) | 4.81463e7 | + | 2.77973e7i | 0.126342 | + | 0.0729438i | ||||
\(726\) | −9.44138e7 | − | 3.66792e7i | −0.246732 | − | 0.0958539i | ||||
\(727\) | 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 | ||||
\(732\) | −2.11433e7 | + | 3.26150e6i | −0.0539062 | + | 0.00831542i | ||||
\(733\) | 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 | ||||||
\(735\) | −752784. | + | 3.43858e8i | −0.00189587 | + | 0.865998i | ||||
\(736\) | 1.89958e7 | 0.0476457 | ||||||||
\(737\) | −7.14273e8 | + | 4.12386e8i | −1.78427 | + | 1.03015i | ||||
\(738\) | 6.59271e7 | + | 6.03300e7i | 0.164019 | + | 0.150094i | ||||
\(739\) | −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 | \(0.277785\pi\) | ||||
−0.642771 | + | 0.766059i | \(0.722215\pi\) | |||||||
\(744\) | 6.42846e7 | + | 2.49742e7i | 0.156095 | + | 0.0606418i | ||||
\(745\) | 3.48535e8 | − | 6.03680e8i | 0.842903 | − | 1.45995i | ||||
\(746\) | −1.97411e7 | − | 1.13976e7i | −0.0475506 | − | 0.0274533i | ||||
\(747\) | −7.38386e7 | − | 2.33641e8i | −0.177142 | − | 0.560515i | ||||
\(748\) | 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 | ||||
\(753\) | −4.25007e7 | − | 2.75519e8i | −0.0995432 | − | 0.645307i | ||||
\(754\) | −1.00590e7 | − | 1.74228e7i | −0.0234662 | − | 0.0406446i | ||||
\(755\) | − | 2.63296e8i | − | 0.611791i | ||||||
\(756\) | −3.91343e8 | + | 1.57003e8i | −0.905716 | + | 0.363365i | ||||
\(757\) | −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 | ||||
\(759\) | 7.50846e7 | − | 1.15823e7i | 0.171722 | − | 0.0264893i | ||||
\(760\) | −5.50513e7 | + | 9.53517e7i | −0.125409 | + | 0.217214i | ||||
\(761\) | 5.67287e7 | − | 3.27523e7i | 0.128721 | − | 0.0743170i | −0.434257 | − | 0.900789i | \(-0.642989\pi\) |
0.562978 | + | 0.826472i | \(0.309656\pi\) | |||||||
\(762\) | 2.37372e7 | − | 1.90642e7i | 0.0536494 | − | 0.0430877i | ||||
\(763\) | −6.45400e8 | − | 5.01968e7i | −1.45297 | − | 0.113006i | ||||
\(764\) | − | 6.63121e8i | − | 1.48701i | ||||||
\(765\) | −6.03799e8 | + | 1.90821e8i | −1.34868 | + | 0.426228i | ||||
\(766\) | −3.98712e7 | + | 6.90590e7i | −0.0887101 | + | 0.153650i | ||||
\(767\) | 1.45121e8 | + | 8.37855e7i | 0.321620 | + | 0.185688i | ||||
\(768\) | −1.25898e8 | + | 3.24066e8i | −0.277929 | + | 0.715401i | ||||
\(769\) | 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 | 0.129844 | − | 0.991534i | \(-0.458553\pi\) |
−0.793772 | + | 0.608215i | \(0.791886\pi\) | |||||||
\(774\) | −3.79967e7 | + | 4.15218e7i | −0.0819451 | + | 0.0895475i | ||||
\(775\) | −3.17623e7 | − | 5.50140e7i | −0.0682350 | − | 0.118187i | ||||
\(776\) | 8.47175e7i | 0.181296i | ||||||||
\(777\) | 1.33688e8 | − | 2.78055e8i | 0.284990 | − | 0.592744i | ||||
\(778\) | −8.93687e7 | −0.189778 | ||||||||
\(779\) | −5.53303e8 | + | 3.19450e8i | −1.17044 | + | 0.675756i | ||||
\(780\) | −3.16724e7 | − | 2.05322e8i | −0.0667417 | − | 0.432665i | ||||
\(781\) | 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 | ||||||||
\(786\) | 9.31788e6 | − | 2.39846e7i | 0.0191889 | − | 0.0493930i | ||||
\(787\) | −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 | ||||
\(789\) | 1.79329e8 | + | 6.96681e7i | 0.365106 | + | 0.141841i | ||||
\(790\) | 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 | ||||
\(795\) | 5.24189e8 | − | 8.08598e7i | 1.04325 | − | 0.160928i | ||||
\(796\) | 2.08228e8 | + | 3.60662e8i | 0.412857 | + | 0.715090i | ||||
\(797\) | − | 6.60423e8i | − | 1.30451i | −0.758000 | − | 0.652254i | \(-0.773823\pi\) | ||
0.758000 | − | 0.652254i | \(-0.226177\pi\) | |||||||
\(798\) | 5.61335e6 | + | 7.42761e7i | 0.0110462 | + | 0.146164i | ||||
\(799\) | 4.66588e8 | 0.914731 | ||||||||
\(800\) | −4.99988e7 | + | 2.88668e7i | −0.0976538 | + | 0.0563805i | ||||
\(801\) | −1.47131e8 | + | 1.60781e8i | −0.286290 | + | 0.312851i | ||||
\(802\) | 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 | ||||||||
\(807\) | −6.58363e8 | − | 2.55770e8i | −1.25269 | − | 0.486664i | ||||
\(808\) | 8.74705e7 | − | 1.51503e8i | 0.165816 | − | 0.287203i | ||||
\(809\) | 1.70266e8 | + | 9.83030e7i | 0.321575 | + | 0.185661i | 0.652094 | − | 0.758138i | \(-0.273891\pi\) |
−0.330520 | + | 0.943799i | \(0.607224\pi\) | |||||||
\(810\) | 6.32393e6 | + | 7.11859e7i | 0.0118996 | + | 0.133949i | ||||
\(811\) | 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 | ||||
\(816\) | 1.25583e8 | + | 8.14117e8i | 0.231133 | + | 1.49836i | ||||
\(817\) | −2.01194e8 | − | 3.48478e8i | −0.368934 | − | 0.639012i | ||||
\(818\) | − | 1.31429e7i | − | 0.0240122i | ||||||
\(819\) | −1.94408e8 | − | 2.07814e8i | −0.353886 | − | 0.378289i | ||||
\(820\) | 6.67160e8 | 1.21001 | ||||||||
\(821\) | 4.47787e8 | − | 2.58530e8i | 0.809174 | − | 0.467177i | −0.0374950 | − | 0.999297i | \(-0.511938\pi\) |
0.846669 | + | 0.532120i | \(0.178604\pi\) | |||||||
\(822\) | 4.93538e7 | − | 7.61317e6i | 0.0888597 | − | 0.0137072i | ||||
\(823\) | −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 | \(0.264457\pi\) | ||||
−0.674272 | + | 0.738483i | \(0.735543\pi\) | |||||||
\(828\) | 1.76373e7 | + | 5.58083e7i | 0.0310701 | + | 0.0983123i | ||||
\(829\) | −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 | ||||
\(831\) | 8.41454e7 | − | 2.16594e8i | 0.146632 | − | 0.377436i | ||||
\(832\) | −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 | ||||
\(837\) | −2.06109e7 | + | 3.19371e8i | −0.0351496 | + | 0.544653i | ||||
\(838\) | −3.77975e6 | − | 6.54672e6i | −0.00642290 | − | 0.0111248i | ||||
\(839\) | − | 6.21767e8i | − | 1.05279i | −0.850240 | − | 0.526395i | \(-0.823543\pi\) | ||
0.850240 | − | 0.526395i | \(-0.176457\pi\) | |||||||
\(840\) | 6.82417e7 | − | 1.41934e8i | 0.115136 | − | 0.239469i | ||||
\(841\) | 3.92337e8 | 0.659587 | ||||||||
\(842\) | −9.39774e7 | + | 5.42579e7i | −0.157430 | + | 0.0908921i | ||||
\(843\) | −7.74981e7 | − | 5.02396e8i | −0.129363 | − | 0.838616i | ||||
\(844\) | 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 | ||||||
\(849\) | 4.83283e7 | − | 1.24399e8i | 0.0789730 | − | 0.203280i | ||||
\(850\) | −1.94729e7 | + | 3.37281e7i | −0.0317084 | + | 0.0549206i | ||||
\(851\) | −3.70873e7 | − | 2.14124e7i | −0.0601779 | − | 0.0347437i | ||||
\(852\) | 1.85832e8 | + | 7.21947e7i | 0.300471 | + | 0.116731i | ||||
\(853\) | −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 | −0.364719 | − | 0.931118i | \(-0.618835\pi\) |
−0.988731 | + | 0.149703i | \(0.952168\pi\) | |||||||
\(858\) | 8.25801e7 | − | 1.27386e7i | 0.130742 | − | 0.0201678i | ||||
\(859\) | 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 | ||||||||
\(861\) | 7.54742e8 | − | 5.15272e8i | 1.18247 | − | 0.807286i | ||||
\(862\) | −7.84048e6 | −0.0122411 | ||||||||
\(863\) | 1.68583e8 | − | 9.73314e7i | 0.262290 | − | 0.151433i | −0.363089 | − | 0.931754i | \(-0.618278\pi\) |
0.625379 | + | 0.780322i | \(0.284945\pi\) | |||||||
\(864\) | 2.90257e8 | + | 1.87320e7i | 0.450029 | + | 0.0290430i | ||||
\(865\) | 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 | ||||||
\(870\) | 4.81596e7 | + | 1.87097e7i | 0.0731350 | + | 0.0284125i | ||||
\(871\) | 2.14410e8 | − | 3.71369e8i | 0.324482 | − | 0.562019i | ||||
\(872\) | 2.56764e8 | + | 1.48243e8i | 0.387245 | + | 0.223576i | ||||
\(873\) | −3.74860e8 | + | 1.18469e8i | −0.563412 | + | 0.178058i | ||||
\(874\) | 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 | ||||
\(879\) | −2.87494e7 | − | 1.86374e8i | −0.0423314 | − | 0.274421i | ||||
\(880\) | −4.50452e8 | − | 7.80206e8i | −0.660999 | − | 1.14488i | ||||
\(881\) | 5.17342e8i | 0.756572i | 0.925689 | + | 0.378286i | \(0.123486\pi\) | ||||
−0.925689 | + | 0.378286i | \(0.876514\pi\) | |||||||
\(882\) | −1.60127e7 | − | 1.05335e8i | −0.0233377 | − | 0.153521i | ||||
\(883\) | −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 | ||||
\(885\) | −4.25317e8 | + | 6.56082e7i | −0.613597 | + | 0.0946517i | ||||
\(886\) | 1.03219e8 | − | 1.78781e8i | 0.148408 | − | 0.257051i | ||||
\(887\) | −5.27250e7 | + | 3.04408e7i | −0.0755520 | + | 0.0436200i | −0.537300 | − | 0.843391i | \(-0.680556\pi\) |
0.461748 | + | 0.887011i | \(0.347222\pi\) | |||||||
\(888\) | −1.10171e8 | + | 8.84823e7i | −0.157336 | + | 0.126362i | ||||
\(889\) | −1.34292e8 | − | 2.80884e8i | −0.191137 | − | 0.399780i | ||||
\(890\) | − | 4.02028e7i | − | 0.0570277i | ||||||
\(891\) | 1.15872e9 | − | 1.02937e8i | 1.63812 | − | 0.145525i | ||||
\(892\) | −5.64891e8 | + | 9.78420e8i | −0.795922 | + | 1.37858i | ||||
\(893\) | 3.26036e8 | + | 1.88237e8i | 0.457837 | + | 0.264333i | ||||
\(894\) | −7.82149e7 | + | 2.01329e8i | −0.109465 | + | 0.281769i | ||||
\(895\) | −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 | ||||
\(900\) | −1.31232e8 | − | 1.20090e8i | −0.180016 | − | 0.164733i | ||||
\(901\) | −7.28083e8 | − | 1.26108e9i | −0.995421 | − | 1.72412i | ||||
\(902\) | 2.68330e8i | 0.365637i | ||||||||
\(903\) | 3.24526e8 | + | 4.75347e8i | 0.440744 | + | 0.645577i | ||||
\(904\) | 6.67157e7 | 0.0903073 | ||||||||
\(905\) | 5.30924e8 | − | 3.06529e8i | 0.716287 | − | 0.413548i | ||||
\(906\) | 1.24376e7 | + | 8.06289e7i | 0.0167244 | + | 0.108419i | ||||
\(907\) | 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 | \(0.166558\pi\) | ||||
−0.866196 | + | 0.499704i | \(0.833442\pi\) | |||||||
\(912\) | −2.40688e8 | + | 6.19542e8i | −0.317300 | + | 0.816745i | ||||
\(913\) | 3.67869e8 | − | 6.37168e8i | 0.483371 | − | 0.837224i | ||||
\(914\) | −1.92956e7 | − | 1.11403e7i | −0.0252708 | − | 0.0145901i | ||||
\(915\) | 3.45624e7 | + | 1.34273e7i | 0.0451170 | + | 0.0175277i | ||||
\(916\) | −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 | ||||
\(921\) | −1.44104e9 | + | 2.22291e8i | −1.84458 | + | 0.284540i | ||||
\(922\) | 8.91028e7 | + | 1.54330e8i | 0.113684 | + | 0.196906i | ||||
\(923\) | 1.34547e8i | 0.171107i | ||||||||
\(924\) | −1.14106e9 | − | 5.48619e8i | −1.44641 | − | 0.695432i | ||||
\(925\) | 1.30157e8 | 0.164453 | ||||||||
\(926\) | 5.31655e7 | − | 3.06951e7i | 0.0669571 | − | 0.0386577i | ||||
\(927\) | −2.03689e8 | − | 1.86396e8i | −0.255699 | − | 0.233990i | ||||
\(928\) | 1.05138e8 | − | 1.82105e8i | 0.131558 | − | 0.227865i | ||||
\(929\) | 7.93398e7 | − | 4.58069e7i | 0.0989564 | − | 0.0571325i | −0.449705 | − | 0.893177i | \(-0.648471\pi\) |
0.548662 | + | 0.836045i | \(0.315138\pi\) | |||||||
\(930\) | −3.69674e7 | − | 4.60289e7i | −0.0459590 | − | 0.0572244i | ||||
\(931\) | 7.52565e8 | + | 1.17776e8i | 0.932599 | + | 0.145951i | ||||
\(932\) | 4.93725e8i | 0.609871i | ||||||||
\(933\) | 9.84729e8 | + | 3.82561e8i | 1.21247 | + | 0.471038i | ||||
\(934\) | −6.92025e7 | + | 1.19862e8i | −0.0849339 | + | 0.147110i | ||||
\(935\) | −1.64663e9 | − | 9.50684e8i | −2.01448 | − | 1.16306i | ||||
\(936\) | 3.92754e7 | + | 1.24276e8i | 0.0478953 | + | 0.151551i | ||||
\(937\) | −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 | 0.0788872 | − | 0.996884i | \(-0.474863\pi\) |
−0.823883 | + | 0.566760i | \(0.808197\pi\) | |||||||
\(942\) | −1.91857e7 | − | 1.24375e8i | −0.0229522 | − | 0.148792i | ||||
\(943\) | −6.34244e7 | − | 1.09854e8i | −0.0756347 | − | 0.131003i | ||||
\(944\) | 5.59820e8i | 0.665477i | ||||||||
\(945\) | 7.23463e8 | + | 1.03477e8i | 0.857276 | + | 0.122616i | ||||
\(946\) | −1.68998e8 | −0.199622 | ||||||||
\(947\) | 1.09911e9 | − | 6.34569e8i | 1.29416 | − | 0.747186i | 0.314775 | − | 0.949166i | \(-0.398071\pi\) |
0.979390 | + | 0.201980i | \(0.0647376\pi\) | |||||||
\(948\) | 6.12290e8 | − | 9.44502e7i | 0.718675 | − | 0.110861i | ||||
\(949\) | −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 | \(-0.998781\pi\) | ||
0.999993 | − | 0.00382950i | \(-0.00121897\pi\) | |||||||
\(954\) | −1.56702e8 | + | 4.95233e7i | −0.180480 | + | 0.0570380i | ||||
\(955\) | −5.74661e8 | + | 9.95342e8i | −0.659783 | + | 1.14278i | ||||
\(956\) | 7.42208e7 | + | 4.28514e7i | 0.0849477 | + | 0.0490446i | ||||
\(957\) | 3.04544e8 | − | 7.83911e8i | 0.347468 | − | 0.894398i | ||||
\(958\) | −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 | ||||
\(963\) | 5.13762e8 | − | 5.61427e8i | 0.575285 | − | 0.628657i | ||||
\(964\) | 6.07879e8 | + | 1.05288e9i | 0.678556 | + | 1.17529i | ||||
\(965\) | 1.13720e9i | 1.26548i | ||||||||
\(966\) | −1.47470e7 | + | 1.11449e6i | −0.0163596 | + | 0.00123636i | ||||
\(967\) | −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 | ||||
\(969\) | 2.13856e8 | + | 1.38636e9i | 0.235044 | + | 1.52372i | ||||
\(970\) | 3.62601e7 | − | 6.28044e7i | 0.0397296 | − | 0.0688137i | ||||
\(971\) | 2.91588e8 | − | 1.68348e8i | 0.318502 | − | 0.183887i | −0.332223 | − | 0.943201i | \(-0.607799\pi\) |
0.650725 | + | 0.759314i | \(0.274465\pi\) | |||||||
\(972\) | 2.14466e8 | + | 8.70146e8i | 0.233539 | + | 0.947531i | ||||
\(973\) | 4.27748e8 | + | 8.94673e8i | 0.464354 | + | 0.971239i | ||||
\(974\) | − | 1.45562e7i | − | 0.0157533i | ||||||
\(975\) | 4.34741e7 | − | 1.11904e8i | 0.0469047 | − | 0.120735i | ||||
\(976\) | 2.41172e7 | − | 4.17722e7i | 0.0259404 | − | 0.0449301i | ||||
\(977\) | 1.33610e9 | + | 7.71397e8i | 1.43270 | + | 0.827169i | 0.997326 | − | 0.0730817i | \(-0.0232834\pi\) |
0.435372 | + | 0.900250i | \(0.356617\pi\) | |||||||
\(978\) | −2.17001e8 | − | 8.43034e7i | −0.231977 | − | 0.0901215i | ||||
\(979\) | −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 | 0.982649 | − | 0.185477i | \(-0.0593829\pi\) |
0.330697 | + | 0.943737i | \(0.392716\pi\) | |||||||
\(984\) | −4.13656e8 | + | 6.38093e7i | −0.434164 | + | 0.0669729i | ||||
\(985\) | 7.34064e8 | + | 1.27144e9i | 0.768113 | + | 1.33041i | ||||
\(986\) | − | 1.41848e8i | − | 0.147977i | ||||||
\(987\) | −4.85316e8 | − | 2.33339e8i | −0.504746 | − | 0.242681i | ||||
\(988\) | −4.60215e8 | −0.477188 | ||||||||
\(989\) | 6.91878e7 | − | 3.99456e7i | 0.0715221 | − | 0.0412933i | ||||
\(990\) | −1.44867e8 | + | 1.58307e8i | −0.149301 | + | 0.163153i | ||||
\(991\) | 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 | ||||||
\(996\) | 5.28339e8 | + | 2.05257e8i | 0.534731 | + | 0.207739i | ||||
\(997\) | 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 | ||||
\(999\) | −5.45581e8 | − | 3.63754e8i | −0.547221 | − | 0.364848i |
(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.11.7 | yes | 28 | |
3.2 | odd | 2 | inner | 21.7.h.a.11.8 | yes | 28 | |
7.2 | even | 3 | inner | 21.7.h.a.2.8 | yes | 28 | |
7.3 | odd | 6 | 147.7.b.d.50.7 | 14 | |||
7.4 | even | 3 | 147.7.b.e.50.7 | 14 | |||
21.2 | odd | 6 | inner | 21.7.h.a.2.7 | ✓ | 28 | |
21.11 | odd | 6 | 147.7.b.e.50.8 | 14 | |||
21.17 | even | 6 | 147.7.b.d.50.8 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.7.h.a.2.7 | ✓ | 28 | 21.2 | odd | 6 | inner | |
21.7.h.a.2.8 | yes | 28 | 7.2 | even | 3 | inner | |
21.7.h.a.11.7 | yes | 28 | 1.1 | even | 1 | trivial | |
21.7.h.a.11.8 | yes | 28 | 3.2 | odd | 2 | inner | |
147.7.b.d.50.7 | 14 | 7.3 | odd | 6 | |||
147.7.b.d.50.8 | 14 | 21.17 | even | 6 | |||
147.7.b.e.50.7 | 14 | 7.4 | even | 3 | |||
147.7.b.e.50.8 | 14 | 21.11 | odd | 6 |