Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,8,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (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: | \(23.7412619368\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.17 | ||
Character | \(\chi\) | \(=\) | 76.27 |
Dual form | 76.8.f.a.31.17 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.97334 | − | 8.02657i | −0.704751 | − | 0.709455i | ||||
\(3\) | −32.1577 | + | 55.6988i | −0.687640 | + | 1.19103i | 0.284960 | + | 0.958539i | \(0.408020\pi\) |
−0.972599 | + | 0.232487i | \(0.925314\pi\) | |||||||
\(4\) | −0.851561 | + | 127.997i | −0.00665282 | + | 0.999978i | ||||
\(5\) | 200.122 | − | 346.621i | 0.715977 | − | 1.24011i | −0.246604 | − | 0.969116i | \(-0.579315\pi\) |
0.962581 | − | 0.270993i | \(-0.0873520\pi\) | |||||||
\(6\) | 703.475 | − | 185.990i | 1.32959 | − | 0.351528i | ||||
\(7\) | − | 134.782i | − | 0.148522i | −0.997239 | − | 0.0742609i | \(-0.976340\pi\) | ||
0.997239 | − | 0.0742609i | \(-0.0236598\pi\) | |||||||
\(8\) | 1034.17 | − | 1013.73i | 0.714128 | − | 0.700015i | ||||
\(9\) | −974.738 | − | 1688.30i | −0.445696 | − | 0.771969i | ||||
\(10\) | −4377.82 | + | 1157.44i | −1.38439 | + | 0.366014i | ||||
\(11\) | 5368.91i | 1.21622i | 0.793853 | + | 0.608109i | \(0.208072\pi\) | ||||
−0.793853 | + | 0.608109i | \(0.791928\pi\) | |||||||
\(12\) | −7101.91 | − | 4163.53i | −1.18643 | − | 0.695548i | ||||
\(13\) | −12038.8 | + | 6950.61i | −1.51978 | + | 0.877447i | −0.520055 | + | 0.854133i | \(0.674088\pi\) |
−0.999728 | + | 0.0233142i | \(0.992578\pi\) | |||||||
\(14\) | −1081.84 | + | 1074.67i | −0.105370 | + | 0.104671i | ||||
\(15\) | 12870.9 | + | 22293.1i | 0.984669 | + | 1.70550i | ||||
\(16\) | −16382.5 | − | 217.995i | −0.999911 | − | 0.0133054i | ||||
\(17\) | 18996.3 | − | 32902.6i | 0.937775 | − | 1.62427i | 0.168166 | − | 0.985759i | \(-0.446215\pi\) |
0.769609 | − | 0.638516i | \(-0.220451\pi\) | |||||||
\(18\) | −5779.30 | + | 21285.2i | −0.233572 | + | 0.860247i | ||||
\(19\) | −29445.1 | − | 5182.59i | −0.984861 | − | 0.173344i | ||||
\(20\) | 44196.1 | + | 25910.2i | 1.23532 | + | 0.724212i | ||||
\(21\) | 7507.22 | + | 4334.30i | 0.176893 | + | 0.102129i | ||||
\(22\) | 43093.9 | − | 42808.2i | 0.862852 | − | 0.857131i | ||||
\(23\) | 29807.8 | − | 17209.5i | 0.510837 | − | 0.294932i | −0.222341 | − | 0.974969i | \(-0.571370\pi\) |
0.733178 | + | 0.680037i | \(0.238036\pi\) | |||||||
\(24\) | 23207.1 | + | 90201.2i | 0.342674 | + | 1.33190i | ||||
\(25\) | −41034.9 | − | 71074.6i | −0.525247 | − | 0.909755i | ||||
\(26\) | 151779. | + | 41210.7i | 1.69358 | + | 0.459836i | ||||
\(27\) | −15276.4 | −0.149365 | ||||||||
\(28\) | 17251.8 | + | 114.776i | 0.148519 | + | 0.000988089i | ||||
\(29\) | 77786.1 | − | 44909.8i | 0.592256 | − | 0.341939i | −0.173733 | − | 0.984793i | \(-0.555583\pi\) |
0.765989 | + | 0.642854i | \(0.222250\pi\) | |||||||
\(30\) | 76312.7 | − | 281060.i | 0.516027 | − | 1.90053i | ||||
\(31\) | 243672. | 1.46906 | 0.734529 | − | 0.678577i | \(-0.237403\pi\) | ||||
0.734529 | + | 0.678577i | \(0.237403\pi\) | |||||||
\(32\) | 128874. | + | 133234.i | 0.695249 | + | 0.718769i | ||||
\(33\) | −299042. | − | 172652.i | −1.44855 | − | 0.836320i | ||||
\(34\) | −415560. | + | 109869.i | −1.81325 | + | 0.479399i | ||||
\(35\) | −46718.4 | − | 26972.9i | −0.184183 | − | 0.106338i | ||||
\(36\) | 216927. | − | 123326.i | 0.774917 | − | 0.440551i | ||||
\(37\) | 55632.9i | 0.180562i | 0.995916 | + | 0.0902809i | \(0.0287765\pi\) | ||||
−0.995916 | + | 0.0902809i | \(0.971224\pi\) | |||||||
\(38\) | 193177. | + | 277665.i | 0.571102 | + | 0.820879i | ||||
\(39\) | − | 894063.i | − | 2.41347i | ||||||
\(40\) | −144421. | − | 561334.i | −0.356796 | − | 1.38679i | ||||
\(41\) | −344994. | − | 199183.i | −0.781751 | − | 0.451344i | 0.0552993 | − | 0.998470i | \(-0.482389\pi\) |
−0.837051 | + | 0.547125i | \(0.815722\pi\) | |||||||
\(42\) | −25068.1 | − | 94816.1i | −0.0522095 | − | 0.197474i | ||||
\(43\) | −140064. | − | 80865.7i | −0.268649 | − | 0.155105i | 0.359624 | − | 0.933097i | \(-0.382905\pi\) |
−0.628274 | + | 0.777992i | \(0.716238\pi\) | |||||||
\(44\) | −687205. | − | 4571.95i | −1.21619 | − | 0.00809128i | ||||
\(45\) | −780265. | −1.27643 | ||||||||
\(46\) | −375801. | − | 102037.i | −0.569254 | − | 0.154562i | ||||
\(47\) | 1.11745e6 | − | 645161.i | 1.56995 | − | 0.906412i | 0.573778 | − | 0.819011i | \(-0.305477\pi\) |
0.996173 | − | 0.0874011i | \(-0.0278562\pi\) | |||||||
\(48\) | 538968. | − | 905478.i | 0.703426 | − | 1.18177i | ||||
\(49\) | 805377. | 0.977941 | ||||||||
\(50\) | −243299. | + | 896072.i | −0.275262 | + | 1.01379i | ||||
\(51\) | 1.22176e6 | + | 2.11615e6i | 1.28970 | + | 2.23383i | ||||
\(52\) | −879406. | − | 1.54685e6i | −0.867317 | − | 1.52559i | ||||
\(53\) | 601763. | − | 347428.i | 0.555214 | − | 0.320553i | −0.196009 | − | 0.980602i | \(-0.562798\pi\) |
0.751222 | + | 0.660049i | \(0.229465\pi\) | |||||||
\(54\) | 121804. | + | 122617.i | 0.105265 | + | 0.105968i | ||||
\(55\) | 1.86098e6 | + | 1.07444e6i | 1.50824 | + | 0.870785i | ||||
\(56\) | −136633. | − | 139388.i | −0.103968 | − | 0.106064i | ||||
\(57\) | 1.23555e6 | − | 1.47340e6i | 0.883687 | − | 1.05380i | ||||
\(58\) | −980687. | − | 266274.i | −0.659983 | − | 0.179197i | ||||
\(59\) | 788918. | − | 1.36645e6i | 0.500092 | − | 0.866184i | −0.499908 | − | 0.866078i | \(-0.666633\pi\) |
1.00000 | 0.000105766i | \(-3.36663e-5\pi\) | ||||||||
\(60\) | −2.86441e6 | + | 1.62846e6i | −1.71201 | + | 0.973301i | ||||
\(61\) | 241159. | + | 417699.i | 0.136034 | + | 0.235619i | 0.925992 | − | 0.377543i | \(-0.123231\pi\) |
−0.789958 | + | 0.613161i | \(0.789898\pi\) | |||||||
\(62\) | −1.94288e6 | − | 1.95585e6i | −1.03532 | − | 1.04223i | ||||
\(63\) | −227553. | + | 131378.i | −0.114654 | + | 0.0661956i | ||||
\(64\) | 41853.5 | − | 2.09673e6i | 0.0199573 | − | 0.999801i | ||||
\(65\) | 5.56387e6i | 2.51293i | ||||||||
\(66\) | 998561. | + | 3.77689e6i | 0.427534 | + | 1.61708i | ||||
\(67\) | −1.72967e6 | − | 2.99588e6i | −0.702590 | − | 1.21692i | −0.967554 | − | 0.252664i | \(-0.918693\pi\) |
0.264964 | − | 0.964258i | \(-0.414640\pi\) | |||||||
\(68\) | 4.19527e6 | + | 2.45950e6i | 1.61800 | + | 0.948560i | ||||
\(69\) | 2.21368e6i | 0.811227i | ||||||||
\(70\) | 156002. | + | 590053.i | 0.0543611 | + | 0.205612i | ||||
\(71\) | −1.25967e6 | + | 2.18181e6i | −0.417689 | + | 0.723459i | −0.995707 | − | 0.0925657i | \(-0.970493\pi\) |
0.578018 | + | 0.816024i | \(0.303827\pi\) | |||||||
\(72\) | −2.71952e6 | − | 757859.i | −0.858674 | − | 0.239290i | ||||
\(73\) | 1.40765e6 | − | 2.43812e6i | 0.423510 | − | 0.733541i | −0.572770 | − | 0.819716i | \(-0.694131\pi\) |
0.996280 | + | 0.0861753i | \(0.0274645\pi\) | |||||||
\(74\) | 446541. | − | 443580.i | 0.128100 | − | 0.127251i | ||||
\(75\) | 5.27836e6 | 1.44472 | ||||||||
\(76\) | 688431. | − | 3.76447e6i | 0.179892 | − | 0.983686i | ||||
\(77\) | 723635. | 0.180635 | ||||||||
\(78\) | −7.17625e6 | + | 7.12867e6i | −1.71225 | + | 1.70089i | ||||
\(79\) | 365246. | − | 632624.i | 0.0833471 | − | 0.144361i | −0.821339 | − | 0.570441i | \(-0.806772\pi\) |
0.904686 | + | 0.426080i | \(0.140106\pi\) | |||||||
\(80\) | −3.35407e6 | + | 5.63491e6i | −0.732414 | + | 1.23047i | ||||
\(81\) | 2.62301e6 | − | 4.54318e6i | 0.548406 | − | 0.949867i | ||||
\(82\) | 1.15201e6 | + | 4.35727e6i | 0.230731 | + | 0.872703i | ||||
\(83\) | − | 2.78043e6i | − | 0.533751i | −0.963731 | − | 0.266876i | \(-0.914009\pi\) | ||
0.963731 | − | 0.266876i | \(-0.0859913\pi\) | |||||||
\(84\) | −561171. | + | 957212.i | −0.103304 | + | 0.176210i | ||||
\(85\) | −7.60316e6 | − | 1.31691e7i | −1.34285 | − | 2.32589i | ||||
\(86\) | 467701. | + | 1.76900e6i | 0.0792909 | + | 0.299905i | ||||
\(87\) | 5.77679e6i | 0.940523i | ||||||||
\(88\) | 5.44263e6 | + | 5.55235e6i | 0.851371 | + | 0.868535i | ||||
\(89\) | 318289. | − | 183764.i | 0.0478582 | − | 0.0276310i | −0.475880 | − | 0.879510i | \(-0.657870\pi\) |
0.523738 | + | 0.851879i | \(0.324537\pi\) | |||||||
\(90\) | 6.22132e6 | + | 6.26285e6i | 0.899568 | + | 0.905573i | ||||
\(91\) | 936820. | + | 1.62262e6i | 0.130320 | + | 0.225721i | ||||
\(92\) | 2.17739e6 | + | 3.82997e6i | 0.291527 | + | 0.512788i | ||||
\(93\) | −7.83593e6 | + | 1.35722e7i | −1.01018 | + | 1.74969i | ||||
\(94\) | −1.40883e7 | − | 3.82521e6i | −1.74948 | − | 0.475015i | ||||
\(95\) | −7.68899e6 | + | 9.16914e6i | −0.920104 | + | 1.09723i | ||||
\(96\) | −1.15653e7 | + | 2.89363e6i | −1.33415 | + | 0.333806i | ||||
\(97\) | 1.40914e6 | + | 813569.i | 0.156767 | + | 0.0905093i | 0.576331 | − | 0.817216i | \(-0.304484\pi\) |
−0.419564 | + | 0.907726i | \(0.637817\pi\) | |||||||
\(98\) | −6.42155e6 | − | 6.46441e6i | −0.689205 | − | 0.693805i | ||||
\(99\) | 9.06431e6 | − | 5.23328e6i | 0.938883 | − | 0.542064i | ||||
\(100\) | 9.13229e6 | − | 5.19183e6i | 0.913229 | − | 0.519183i | ||||
\(101\) | −8.19703e6 | − | 1.41977e7i | −0.791647 | − | 1.37117i | −0.924947 | − | 0.380097i | \(-0.875891\pi\) |
0.133299 | − | 0.991076i | \(-0.457443\pi\) | |||||||
\(102\) | 7.24390e6 | − | 2.66793e7i | 0.675883 | − | 2.48928i | ||||
\(103\) | 6.02583e6 | 0.543359 | 0.271679 | − | 0.962388i | \(-0.412421\pi\) | ||||
0.271679 | + | 0.962388i | \(0.412421\pi\) | |||||||
\(104\) | −5.40410e6 | + | 1.93922e7i | −0.471093 | + | 1.69048i | ||||
\(105\) | 3.00472e6 | − | 1.73477e6i | 0.253303 | − | 0.146245i | ||||
\(106\) | −7.58672e6 | − | 2.05993e6i | −0.618705 | − | 0.167989i | ||||
\(107\) | 1.08173e7 | 0.853645 | 0.426822 | − | 0.904335i | \(-0.359633\pi\) | ||||
0.426822 | + | 0.904335i | \(0.359633\pi\) | |||||||
\(108\) | 13008.8 | − | 1.95534e6i | 0.000993699 | − | 0.149362i | ||||
\(109\) | 4.63244e6 | + | 2.67454e6i | 0.342623 | + | 0.197814i | 0.661431 | − | 0.750006i | \(-0.269949\pi\) |
−0.318808 | + | 0.947819i | \(0.603283\pi\) | |||||||
\(110\) | −6.21418e6 | − | 2.35041e7i | −0.445153 | − | 1.68372i | ||||
\(111\) | −3.09869e6 | − | 1.78903e6i | −0.215054 | − | 0.124161i | ||||
\(112\) | −29381.9 | + | 2.20808e6i | −0.00197613 | + | 0.148509i | ||||
\(113\) | − | 7.40240e6i | − | 0.482612i | −0.970449 | − | 0.241306i | \(-0.922424\pi\) | ||
0.970449 | − | 0.241306i | \(-0.0775757\pi\) | |||||||
\(114\) | −2.16778e7 | + | 1.83066e6i | −1.37040 | + | 0.115729i | ||||
\(115\) | − | 1.37760e7i | − | 0.844658i | ||||||
\(116\) | 5.68209e6 | + | 9.99465e6i | 0.337991 | + | 0.594517i | ||||
\(117\) | 2.34694e7 | + | 1.35500e7i | 1.35472 | + | 0.782150i | ||||
\(118\) | −1.72582e7 | + | 4.56284e6i | −0.966959 | + | 0.255651i | ||||
\(119\) | −4.43470e6 | − | 2.56037e6i | −0.241240 | − | 0.139280i | ||||
\(120\) | 3.59099e7 | + | 1.00071e7i | 1.89705 | + | 0.528659i | ||||
\(121\) | −9.33800e6 | −0.479187 | ||||||||
\(122\) | 1.42985e6 | − | 5.26614e6i | 0.0712904 | − | 0.262563i | ||||
\(123\) | 2.21885e7 | − | 1.28105e7i | 1.07513 | − | 0.620724i | ||||
\(124\) | −207501. | + | 3.11893e7i | −0.00977339 | + | 1.46903i | ||||
\(125\) | −1.57892e6 | −0.0723062 | ||||||||
\(126\) | 2.86887e6 | + | 778948.i | 0.127765 | + | 0.0346906i | ||||
\(127\) | 1.30264e7 | + | 2.25624e7i | 0.564302 | + | 0.977400i | 0.997114 | + | 0.0759158i | \(0.0241880\pi\) |
−0.432812 | + | 0.901484i | \(0.642479\pi\) | |||||||
\(128\) | −1.71633e7 | + | 1.63820e7i | −0.723379 | + | 0.690452i | ||||
\(129\) | 9.00825e6 | − | 5.20092e6i | 0.369468 | − | 0.213312i | ||||
\(130\) | 4.46588e7 | − | 4.43627e7i | 1.78281 | − | 1.77099i | ||||
\(131\) | 2.53484e6 | + | 1.46349e6i | 0.0985149 | + | 0.0568776i | 0.548448 | − | 0.836185i | \(-0.315219\pi\) |
−0.449933 | + | 0.893062i | \(0.648552\pi\) | |||||||
\(132\) | 2.23536e7 | − | 3.81295e7i | 0.845938 | − | 1.44295i | ||||
\(133\) | −698522. | + | 3.96868e6i | −0.0257454 | + | 0.146273i | ||||
\(134\) | −1.02554e7 | + | 3.77705e7i | −0.368200 | + | 1.35608i | ||||
\(135\) | −3.05715e6 | + | 5.29514e6i | −0.106942 | + | 0.185229i | ||||
\(136\) | −1.37090e7 | − | 5.32840e7i | −0.467325 | − | 1.81640i | ||||
\(137\) | 1.51316e7 | + | 2.62086e7i | 0.502761 | + | 0.870808i | 0.999995 | + | 0.00319102i | \(0.00101573\pi\) |
−0.497234 | + | 0.867617i | \(0.665651\pi\) | |||||||
\(138\) | 1.77682e7 | − | 1.76504e7i | 0.575529 | − | 0.571713i | ||||
\(139\) | −1.40383e7 | + | 8.10503e6i | −0.443367 | + | 0.255978i | −0.705025 | − | 0.709183i | \(-0.749064\pi\) |
0.261658 | + | 0.965161i | \(0.415731\pi\) | |||||||
\(140\) | 3.49224e6 | − | 5.95686e6i | 0.107561 | − | 0.183472i | ||||
\(141\) | 8.29876e7i | 2.49314i | ||||||||
\(142\) | 2.75563e7 | − | 7.28552e6i | 0.807628 | − | 0.213526i | ||||
\(143\) | −3.73172e7 | − | 6.46352e7i | −1.06717 | − | 1.84839i | ||||
\(144\) | 1.56007e7 | + | 2.78711e7i | 0.435386 | + | 0.777831i | ||||
\(145\) | − | 3.59497e7i | − | 0.979282i | ||||||
\(146\) | −3.07934e7 | + | 8.14136e6i | −0.818883 | + | 0.216502i | ||||
\(147\) | −2.58991e7 | + | 4.48585e7i | −0.672471 | + | 1.16475i | ||||
\(148\) | −7.12086e6 | − | 47374.8i | −0.180558 | − | 0.00120125i | ||||
\(149\) | 2.62834e7 | − | 4.55242e7i | 0.650923 | − | 1.12743i | −0.331976 | − | 0.943288i | \(-0.607715\pi\) |
0.982899 | − | 0.184144i | \(-0.0589512\pi\) | |||||||
\(150\) | −4.20862e7 | − | 4.23671e7i | −1.01817 | − | 1.02497i | ||||
\(151\) | −5.73750e7 | −1.35614 | −0.678068 | − | 0.734999i | \(-0.737183\pi\) | ||||
−0.678068 | + | 0.734999i | \(0.737183\pi\) | |||||||
\(152\) | −3.57049e7 | + | 2.44897e7i | −0.824660 | + | 0.565628i | ||||
\(153\) | −7.40658e7 | −1.67185 | ||||||||
\(154\) | −5.76979e6 | − | 5.80830e6i | −0.127303 | − | 0.128152i | ||||
\(155\) | 4.87640e7 | − | 8.44617e7i | 1.05181 | − | 1.82179i | ||||
\(156\) | 1.14437e8 | + | 761349.i | 2.41342 | + | 0.0160564i | ||||
\(157\) | 2.21264e7 | − | 3.83240e7i | 0.456311 | − | 0.790354i | −0.542451 | − | 0.840087i | \(-0.682504\pi\) |
0.998763 | + | 0.0497330i | \(0.0158371\pi\) | |||||||
\(158\) | −7.99003e6 | + | 2.11246e6i | −0.161157 | + | 0.0426078i | ||||
\(159\) | 4.46900e7i | 0.881699i | ||||||||
\(160\) | 7.19721e7 | − | 1.80074e7i | 1.38913 | − | 0.347562i | ||||
\(161\) | −2.31954e6 | − | 4.01757e6i | −0.0438038 | − | 0.0758704i | ||||
\(162\) | −5.73803e7 | + | 1.51706e7i | −1.06038 | + | 0.280350i | ||||
\(163\) | 3.99745e7i | 0.722981i | 0.932376 | + | 0.361491i | \(0.117732\pi\) | ||||
−0.932376 | + | 0.361491i | \(0.882268\pi\) | |||||||
\(164\) | 2.57886e7 | − | 4.39887e7i | 0.456535 | − | 0.778731i | ||||
\(165\) | −1.19690e8 | + | 6.91028e7i | −2.07426 | + | 1.19757i | ||||
\(166\) | −2.23173e7 | + | 2.21693e7i | −0.378672 | + | 0.376161i | ||||
\(167\) | −3.06336e7 | − | 5.30589e7i | −0.508967 | − | 0.881558i | −0.999946 | − | 0.0103859i | \(-0.996694\pi\) |
0.490979 | − | 0.871172i | \(-0.336639\pi\) | |||||||
\(168\) | 1.21575e7 | − | 3.12791e6i | 0.197817 | − | 0.0508946i | ||||
\(169\) | 6.52476e7 | − | 1.13012e8i | 1.03983 | − | 1.80103i | ||||
\(170\) | −4.50797e7 | + | 1.66029e8i | −0.703737 | + | 2.59186i | ||||
\(171\) | 1.99515e7 | + | 5.47637e7i | 0.305133 | + | 0.837541i | ||||
\(172\) | 1.04699e7 | − | 1.78589e7i | 0.156889 | − | 0.267611i | ||||
\(173\) | −4.76135e7 | − | 2.74897e7i | −0.699148 | − | 0.403653i | 0.107882 | − | 0.994164i | \(-0.465593\pi\) |
−0.807030 | + | 0.590511i | \(0.798926\pi\) | |||||||
\(174\) | 4.63678e7 | − | 4.60604e7i | 0.667259 | − | 0.662834i | ||||
\(175\) | −9.57961e6 | + | 5.53079e6i | −0.135118 | + | 0.0780107i | ||||
\(176\) | 1.17039e6 | − | 8.79564e7i | 0.0161822 | − | 1.21611i | ||||
\(177\) | 5.07396e7 | + | 8.78835e7i | 0.687766 | + | 1.19124i | ||||
\(178\) | −4.01282e6 | − | 1.08955e6i | −0.0533310 | − | 0.0144803i | ||||
\(179\) | −1.10554e8 | −1.44074 | −0.720372 | − | 0.693588i | \(-0.756029\pi\) | ||||
−0.720372 | + | 0.693588i | \(0.756029\pi\) | |||||||
\(180\) | 664444. | − | 9.98718e7i | 0.00849189 | − | 1.27641i | ||||
\(181\) | 1.45386e7 | − | 8.39387e6i | 0.182242 | − | 0.105217i | −0.406104 | − | 0.913827i | \(-0.633113\pi\) |
0.588346 | + | 0.808610i | \(0.299780\pi\) | |||||||
\(182\) | 5.55448e6 | − | 2.04571e7i | 0.0682957 | − | 0.251533i | ||||
\(183\) | −3.10205e7 | −0.374171 | ||||||||
\(184\) | 1.33804e7 | − | 4.80146e7i | 0.158346 | − | 0.568213i | ||||
\(185\) | 1.92835e7 | + | 1.11334e7i | 0.223916 | + | 0.129278i | ||||
\(186\) | 1.71417e8 | − | 4.53204e7i | 1.95325 | − | 0.516415i | ||||
\(187\) | 1.76651e8 | + | 1.01990e8i | 1.97547 | + | 1.14054i | ||||
\(188\) | 8.16272e7 | + | 1.43580e8i | 0.895947 | + | 1.57595i | ||||
\(189\) | 2.05900e6i | 0.0221840i | ||||||||
\(190\) | 1.34904e8 | − | 1.13924e7i | 1.42688 | − | 0.120498i | ||||
\(191\) | 7.93862e7i | 0.824382i | 0.911097 | + | 0.412191i | \(0.135236\pi\) | ||||
−0.911097 | + | 0.412191i | \(0.864764\pi\) | |||||||
\(192\) | 1.15440e8 | + | 6.97574e7i | 1.17707 | + | 0.711272i | ||||
\(193\) | 8.41989e7 | + | 4.86123e7i | 0.843055 | + | 0.486738i | 0.858301 | − | 0.513146i | \(-0.171520\pi\) |
−0.0152465 | + | 0.999884i | \(0.504853\pi\) | |||||||
\(194\) | −4.70541e6 | − | 1.77974e7i | −0.0462692 | − | 0.175005i | ||||
\(195\) | −3.09901e8 | − | 1.78921e8i | −2.99297 | − | 1.72799i | ||||
\(196\) | −685828. | + | 1.03086e8i | −0.00650607 | + | 0.977920i | ||||
\(197\) | −1.18197e8 | −1.10147 | −0.550735 | − | 0.834680i | \(-0.685653\pi\) | ||||
−0.550735 | + | 0.834680i | \(0.685653\pi\) | |||||||
\(198\) | −1.14278e8 | − | 3.10285e7i | −1.04625 | − | 0.284075i | ||||
\(199\) | −7.58772e7 | + | 4.38077e7i | −0.682536 | + | 0.394062i | −0.800810 | − | 0.598919i | \(-0.795597\pi\) |
0.118274 | + | 0.992981i | \(0.462264\pi\) | |||||||
\(200\) | −1.14488e8 | − | 3.19047e7i | −1.01194 | − | 0.282000i | ||||
\(201\) | 2.22489e8 | 1.93252 | ||||||||
\(202\) | −4.86008e7 | + | 1.78997e8i | −0.414872 | + | 1.52797i | ||||
\(203\) | −6.05306e6 | − | 1.04842e7i | −0.0507854 | − | 0.0879629i | ||||
\(204\) | −2.71901e8 | + | 1.54580e8i | −2.24236 | + | 1.27481i | ||||
\(205\) | −1.38082e8 | + | 7.97216e7i | −1.11943 | + | 0.646305i | ||||
\(206\) | −4.80460e7 | − | 4.83667e7i | −0.382932 | − | 0.385489i | ||||
\(207\) | −5.81096e7 | − | 3.35496e7i | −0.455356 | − | 0.262900i | ||||
\(208\) | 1.98741e8 | − | 1.11244e8i | 1.53132 | − | 0.857148i | ||||
\(209\) | 2.78248e7 | − | 1.58088e8i | 0.210824 | − | 1.19781i | ||||
\(210\) | −3.78819e7 | − | 1.02856e7i | −0.282270 | − | 0.0766413i | ||||
\(211\) | −6.62179e7 | + | 1.14693e8i | −0.485274 | + | 0.840519i | −0.999857 | − | 0.0169219i | \(-0.994613\pi\) |
0.514583 | + | 0.857440i | \(0.327947\pi\) | |||||||
\(212\) | 4.39574e7 | + | 7.73198e7i | 0.316852 | + | 0.557334i | ||||
\(213\) | −8.10163e7 | − | 1.40324e8i | −0.574439 | − | 0.994958i | ||||
\(214\) | −8.62504e7 | − | 8.68261e7i | −0.601607 | − | 0.605623i | ||||
\(215\) | −5.60595e7 | + | 3.23660e7i | −0.384694 | + | 0.222103i | ||||
\(216\) | −1.57984e7 | + | 1.54862e7i | −0.106666 | + | 0.104558i | ||||
\(217\) | − | 3.28427e7i | − | 0.218187i | ||||||
\(218\) | −1.54687e7 | − | 5.85076e7i | −0.101124 | − | 0.382485i | ||||
\(219\) | 9.05334e7 | + | 1.56808e8i | 0.582445 | + | 1.00882i | ||||
\(220\) | −1.39109e8 | + | 2.37285e8i | −0.880800 | + | 1.50242i | ||||
\(221\) | 5.28144e8i | 3.29139i | ||||||||
\(222\) | 1.03471e7 | + | 3.91364e7i | 0.0634725 | + | 0.240074i | ||||
\(223\) | 5.27296e7 | − | 9.13304e7i | 0.318411 | − | 0.551503i | −0.661746 | − | 0.749728i | \(-0.730184\pi\) |
0.980157 | + | 0.198225i | \(0.0635176\pi\) | |||||||
\(224\) | 1.79576e7 | − | 1.73699e7i | 0.106753 | − | 0.103260i | ||||
\(225\) | −7.99967e7 | + | 1.38558e8i | −0.468202 | + | 0.810949i | ||||
\(226\) | −5.94158e7 | + | 5.90219e7i | −0.342391 | + | 0.340121i | ||||
\(227\) | 8.34803e7 | 0.473689 | 0.236845 | − | 0.971548i | \(-0.423887\pi\) | ||||
0.236845 | + | 0.971548i | \(0.423887\pi\) | |||||||
\(228\) | 1.87538e8 | + | 1.59402e8i | 1.04790 | + | 0.890678i | ||||
\(229\) | −1.81986e7 | −0.100142 | −0.0500708 | − | 0.998746i | \(-0.515945\pi\) | ||||
−0.0500708 | + | 0.998746i | \(0.515945\pi\) | |||||||
\(230\) | −1.10574e8 | + | 1.09841e8i | −0.599247 | + | 0.595273i | ||||
\(231\) | −2.32704e7 | + | 4.03056e7i | −0.124212 | + | 0.215141i | ||||
\(232\) | 3.49174e7 | − | 1.25298e8i | 0.183584 | − | 0.658776i | ||||
\(233\) | 4.87579e7 | − | 8.44512e7i | 0.252522 | − | 0.437381i | −0.711697 | − | 0.702486i | \(-0.752073\pi\) |
0.964220 | + | 0.265105i | \(0.0854066\pi\) | |||||||
\(234\) | −7.83690e7 | − | 2.96418e8i | −0.399842 | − | 1.51234i | ||||
\(235\) | − | 5.16443e8i | − | 2.59588i | ||||||
\(236\) | 1.74229e8 | + | 1.02143e8i | 0.862838 | + | 0.505843i | ||||
\(237\) | 2.34909e7 | + | 4.06875e7i | 0.114626 | + | 0.198537i | ||||
\(238\) | 1.48084e7 | + | 5.60101e7i | 0.0712012 | + | 0.269307i | ||||
\(239\) | − | 3.60846e7i | − | 0.170974i | −0.996339 | − | 0.0854869i | \(-0.972755\pi\) | ||
0.996339 | − | 0.0854869i | \(-0.0272446\pi\) | |||||||
\(240\) | −2.05999e8 | − | 3.68023e8i | −0.961889 | − | 1.71845i | ||||
\(241\) | 2.10157e8 | − | 1.21334e8i | 0.967128 | − | 0.558372i | 0.0687685 | − | 0.997633i | \(-0.478093\pi\) |
0.898359 | + | 0.439261i | \(0.144760\pi\) | |||||||
\(242\) | 7.44551e7 | + | 7.49521e7i | 0.337708 | + | 0.339962i | ||||
\(243\) | 1.51995e8 | + | 2.63263e8i | 0.679529 | + | 1.17698i | ||||
\(244\) | −5.36697e7 | + | 3.05120e7i | −0.236518 | + | 0.134464i | ||||
\(245\) | 1.61173e8 | − | 2.79161e8i | 0.700184 | − | 1.21275i | ||||
\(246\) | −2.79741e8 | − | 7.59546e7i | −1.19807 | − | 0.325298i | ||||
\(247\) | 3.90506e8 | − | 1.42269e8i | 1.64888 | − | 0.600718i | ||||
\(248\) | 2.51997e8 | − | 2.47017e8i | 1.04910 | − | 1.02836i | ||||
\(249\) | 1.54867e8 | + | 8.94123e7i | 0.635712 | + | 0.367028i | ||||
\(250\) | 1.25893e7 | + | 1.26733e7i | 0.0509578 | + | 0.0512980i | ||||
\(251\) | −3.50008e8 | + | 2.02077e8i | −1.39707 | + | 0.806601i | −0.994085 | − | 0.108603i | \(-0.965362\pi\) |
−0.402989 | + | 0.915205i | \(0.632029\pi\) | |||||||
\(252\) | −1.66222e7 | − | 2.92380e7i | −0.0654314 | − | 0.115092i | ||||
\(253\) | 9.23964e7 | + | 1.60035e8i | 0.358702 | + | 0.621289i | ||||
\(254\) | 7.72346e7 | − | 2.84455e8i | 0.295729 | − | 1.08917i | ||||
\(255\) | 9.78002e8 | 3.69359 | ||||||||
\(256\) | 2.68340e8 | + | 7.14262e6i | 0.999646 | + | 0.0266083i | ||||
\(257\) | −2.81570e7 | + | 1.62564e7i | −0.103471 | + | 0.0597392i | −0.550843 | − | 0.834609i | \(-0.685694\pi\) |
0.447371 | + | 0.894348i | \(0.352360\pi\) | |||||||
\(258\) | −1.13571e8 | − | 3.08366e7i | −0.411718 | − | 0.111789i | ||||
\(259\) | 7.49834e6 | 0.0268174 | ||||||||
\(260\) | −7.12160e8 | − | 4.73798e6i | −2.51287 | − | 0.0167181i | ||||
\(261\) | −1.51642e8 | − | 8.75507e7i | −0.527932 | − | 0.304802i | ||||
\(262\) | −8.46436e6 | − | 3.20150e7i | −0.0290763 | − | 0.109976i | ||||
\(263\) | 1.18042e8 | + | 6.81517e7i | 0.400122 | + | 0.231010i | 0.686536 | − | 0.727095i | \(-0.259130\pi\) |
−0.286415 | + | 0.958106i | \(0.592464\pi\) | |||||||
\(264\) | −4.84282e8 | + | 1.24597e8i | −1.61989 | + | 0.416767i | ||||
\(265\) | − | 2.78112e8i | − | 0.918034i | ||||||
\(266\) | 3.74244e7 | − | 2.60369e7i | 0.121918 | − | 0.0848211i | ||||
\(267\) | 2.36378e7i | 0.0760006i | ||||||||
\(268\) | 3.84937e8 | − | 2.18842e8i | 1.22157 | − | 0.694479i | ||||
\(269\) | 3.13779e7 | + | 1.81160e7i | 0.0982858 | + | 0.0567453i | 0.548337 | − | 0.836257i | \(-0.315261\pi\) |
−0.450051 | + | 0.893003i | \(0.648594\pi\) | |||||||
\(270\) | 6.68774e7 | − | 1.76815e7i | 0.206779 | − | 0.0546697i | ||||
\(271\) | 2.48895e7 | + | 1.43699e7i | 0.0759667 | + | 0.0438594i | 0.537502 | − | 0.843262i | \(-0.319368\pi\) |
−0.461536 | + | 0.887122i | \(0.652701\pi\) | |||||||
\(272\) | −3.18381e8 | + | 5.34888e8i | −0.959304 | + | 1.61165i | ||||
\(273\) | −1.20504e8 | −0.358453 | ||||||||
\(274\) | 8.97162e7 | − | 3.30425e8i | 0.263478 | − | 0.970389i | ||||
\(275\) | 3.81593e8 | − | 2.20313e8i | 1.10646 | − | 0.638815i | ||||
\(276\) | −2.83344e8 | − | 1.88508e6i | −0.811209 | − | 0.00539695i | ||||
\(277\) | −3.43600e8 | −0.971346 | −0.485673 | − | 0.874141i | \(-0.661425\pi\) | ||||
−0.485673 | + | 0.874141i | \(0.661425\pi\) | |||||||
\(278\) | 1.76988e8 | + | 4.80554e7i | 0.494068 | + | 0.134148i | ||||
\(279\) | −2.37516e8 | − | 4.11390e8i | −0.654754 | − | 1.13407i | ||||
\(280\) | −7.56580e7 | + | 1.94654e7i | −0.205969 | + | 0.0529920i | ||||
\(281\) | −3.17279e8 | + | 1.83181e8i | −0.853039 | + | 0.492502i | −0.861675 | − | 0.507461i | \(-0.830584\pi\) |
0.00863632 | + | 0.999963i | \(0.497251\pi\) | |||||||
\(282\) | 6.66106e8 | − | 6.61689e8i | 1.76877 | − | 1.75704i | ||||
\(283\) | 1.97843e8 | + | 1.14225e8i | 0.518883 | + | 0.299577i | 0.736477 | − | 0.676462i | \(-0.236488\pi\) |
−0.217595 | + | 0.976039i | \(0.569821\pi\) | |||||||
\(284\) | −2.78193e8 | − | 1.63092e8i | −0.720664 | − | 0.422493i | ||||
\(285\) | −2.63449e8 | − | 7.23126e8i | −0.674125 | − | 1.85036i | ||||
\(286\) | −2.21256e8 | + | 8.14888e8i | −0.559261 | + | 2.05976i | ||||
\(287\) | −2.68463e7 | + | 4.64992e7i | −0.0670345 | + | 0.116107i | ||||
\(288\) | 9.93197e7 | − | 3.47445e8i | 0.244998 | − | 0.857063i | ||||
\(289\) | −5.16553e8 | − | 8.94695e8i | −1.25884 | − | 2.18038i | ||||
\(290\) | −2.88553e8 | + | 2.86640e8i | −0.694757 | + | 0.690150i | ||||
\(291\) | −9.06296e7 | + | 5.23250e7i | −0.215598 | + | 0.124476i | ||||
\(292\) | 3.10873e8 | + | 1.82251e8i | 0.730707 | + | 0.428381i | ||||
\(293\) | 8.93322e7i | 0.207478i | 0.994605 | + | 0.103739i | \(0.0330806\pi\) | ||||
−0.994605 | + | 0.103739i | \(0.966919\pi\) | |||||||
\(294\) | 5.66562e8 | − | 1.49792e8i | 1.30027 | − | 0.343773i | ||||
\(295\) | −3.15759e8 | − | 5.46911e8i | −0.716109 | − | 1.24034i | ||||
\(296\) | 5.63968e7 | + | 5.75338e7i | 0.126396 | + | 0.128944i | ||||
\(297\) | − | 8.20178e7i | − | 0.181660i | ||||||
\(298\) | −5.74969e8 | + | 1.52014e8i | −1.25860 | + | 0.332758i | ||||
\(299\) | −2.39233e8 | + | 4.14364e8i | −0.517574 | + | 0.896465i | ||||
\(300\) | −4.49485e6 | + | 6.75615e8i | −0.00961149 | + | 1.44469i | ||||
\(301\) | −1.08993e7 | + | 1.88781e7i | −0.0230364 | + | 0.0399003i | ||||
\(302\) | 4.57471e8 | + | 4.60524e8i | 0.955738 | + | 0.962118i | ||||
\(303\) | 1.05439e9 | 2.17747 | ||||||||
\(304\) | 4.81256e8 | + | 9.13229e7i | 0.982468 | + | 0.186433i | ||||
\(305\) | 1.93045e8 | 0.389590 | ||||||||
\(306\) | 5.90552e8 | + | 5.94494e8i | 1.17824 | + | 1.18610i | ||||
\(307\) | 1.10845e8 | − | 1.91989e8i | 0.218641 | − | 0.378698i | −0.735751 | − | 0.677252i | \(-0.763171\pi\) |
0.954393 | + | 0.298554i | \(0.0965042\pi\) | |||||||
\(308\) | −616219. | + | 9.26232e7i | −0.00120173 | + | 0.180631i | ||||
\(309\) | −1.93777e8 | + | 3.35632e8i | −0.373635 | + | 0.647155i | ||||
\(310\) | −1.06675e9 | + | 2.82035e8i | −2.03375 | + | 0.537696i | ||||
\(311\) | − | 5.42884e8i | − | 1.02340i | −0.859164 | − | 0.511700i | \(-0.829016\pi\) | ||
0.859164 | − | 0.511700i | \(-0.170984\pi\) | |||||||
\(312\) | −9.06338e8 | − | 9.24611e8i | −1.68947 | − | 1.72353i | ||||
\(313\) | 5.71222e7 | + | 9.89386e7i | 0.105293 | + | 0.182373i | 0.913858 | − | 0.406034i | \(-0.133089\pi\) |
−0.808565 | + | 0.588407i | \(0.799755\pi\) | |||||||
\(314\) | −4.84031e8 | + | 1.27972e8i | −0.882306 | + | 0.233270i | ||||
\(315\) | 1.05166e8i | 0.189578i | ||||||||
\(316\) | 8.06631e7 | + | 4.72891e7i | 0.143804 | + | 0.0843056i | ||||
\(317\) | 7.36758e8 | − | 4.25368e8i | 1.29903 | − | 0.749992i | 0.318789 | − | 0.947826i | \(-0.396724\pi\) |
0.980236 | + | 0.197833i | \(0.0633904\pi\) | |||||||
\(318\) | 3.58707e8 | − | 3.56329e8i | 0.625526 | − | 0.621378i | ||||
\(319\) | 2.41117e8 | + | 4.17627e8i | 0.415872 | + | 0.720312i | ||||
\(320\) | −7.18397e8 | − | 4.34109e8i | −1.22557 | − | 0.740584i | ||||
\(321\) | −3.47861e8 | + | 6.02513e8i | −0.587000 | + | 1.01671i | ||||
\(322\) | −1.37528e7 | + | 5.06514e7i | −0.0229559 | + | 0.0845466i | ||||
\(323\) | −7.29869e8 | + | 8.70370e8i | −1.20514 | + | 1.43713i | ||||
\(324\) | 5.79281e8 | + | 3.39606e8i | 0.946197 | + | 0.554713i | ||||
\(325\) | 9.88023e8 | + | 5.70436e8i | 1.59652 | + | 0.921754i | ||||
\(326\) | 3.20858e8 | − | 3.18731e8i | 0.512923 | − | 0.509521i | ||||
\(327\) | −2.97937e8 | + | 1.72014e8i | −0.471203 | + | 0.272049i | ||||
\(328\) | −5.58700e8 | + | 1.43743e8i | −0.874218 | + | 0.224920i | ||||
\(329\) | −8.69564e7 | − | 1.50613e8i | −0.134622 | − | 0.233172i | ||||
\(330\) | 1.50898e9 | + | 4.09716e8i | 2.31146 | + | 0.627601i | ||||
\(331\) | −3.66392e8 | −0.555325 | −0.277663 | − | 0.960679i | \(-0.589560\pi\) | ||||
−0.277663 | + | 0.960679i | \(0.589560\pi\) | |||||||
\(332\) | 3.55887e8 | + | 2.36771e6i | 0.533739 | + | 0.00355095i | ||||
\(333\) | 9.39249e7 | − | 5.42275e7i | 0.139388 | − | 0.0804758i | ||||
\(334\) | −1.81629e8 | + | 6.68939e8i | −0.266730 | + | 0.982368i | ||||
\(335\) | −1.38458e9 | −2.01215 | ||||||||
\(336\) | −1.22043e8 | − | 7.26434e7i | −0.175519 | − | 0.104474i | ||||
\(337\) | −3.00217e8 | − | 1.73330e8i | −0.427298 | − | 0.246700i | 0.270897 | − | 0.962608i | \(-0.412680\pi\) |
−0.698195 | + | 0.715908i | \(0.746013\pi\) | |||||||
\(338\) | −1.42734e9 | + | 3.77371e8i | −2.01057 | + | 0.531569i | ||||
\(339\) | 4.12305e8 | + | 2.38044e8i | 0.574803 | + | 0.331863i | ||||
\(340\) | 1.69208e9 | − | 9.61969e8i | 2.33477 | − | 1.32735i | ||||
\(341\) | 1.30825e9i | 1.78670i | ||||||||
\(342\) | 2.80484e8 | − | 5.96792e8i | 0.379155 | − | 0.806736i | ||||
\(343\) | − | 2.19550e8i | − | 0.293767i | ||||||
\(344\) | −2.26825e8 | + | 5.83580e7i | −0.300426 | + | 0.0772940i | ||||
\(345\) | 7.67307e8 | + | 4.43005e8i | 1.00601 | + | 0.580820i | ||||
\(346\) | 1.58991e8 | + | 6.01358e8i | 0.206351 | + | 0.780489i | ||||
\(347\) | 3.10668e8 | + | 1.79364e8i | 0.399157 | + | 0.230453i | 0.686120 | − | 0.727488i | \(-0.259312\pi\) |
−0.286963 | + | 0.957942i | \(0.592646\pi\) | |||||||
\(348\) | −7.39413e8 | − | 4.91929e6i | −0.940502 | − | 0.00625713i | ||||
\(349\) | −3.99979e8 | −0.503673 | −0.251836 | − | 0.967770i | \(-0.581034\pi\) | ||||
−0.251836 | + | 0.967770i | \(0.581034\pi\) | |||||||
\(350\) | 1.20775e8 | + | 3.27925e7i | 0.150570 | + | 0.0408824i | ||||
\(351\) | 1.83910e8 | − | 1.06180e8i | 0.227002 | − | 0.131060i | ||||
\(352\) | −7.15320e8 | + | 6.91912e8i | −0.874180 | + | 0.845574i | ||||
\(353\) | 1.36492e9 | 1.65157 | 0.825784 | − | 0.563986i | \(-0.190733\pi\) | ||||
0.825784 | + | 0.563986i | \(0.190733\pi\) | |||||||
\(354\) | 3.00839e8 | − | 1.10799e9i | 0.360431 | − | 1.32747i | ||||
\(355\) | 5.04175e8 | + | 8.73257e8i | 0.598112 | + | 1.03596i | ||||
\(356\) | 2.32503e7 | + | 4.08966e7i | 0.0273120 | + | 0.0480410i | ||||
\(357\) | 2.85219e8 | − | 1.64672e8i | 0.331773 | − | 0.191549i | ||||
\(358\) | 8.81481e8 | + | 8.87365e8i | 1.01537 | + | 1.02214i | ||||
\(359\) | −8.13661e8 | − | 4.69767e8i | −0.928139 | − | 0.535861i | −0.0419163 | − | 0.999121i | \(-0.513346\pi\) |
−0.886222 | + | 0.463260i | \(0.846680\pi\) | |||||||
\(360\) | −8.06925e8 | + | 7.90979e8i | −0.911537 | + | 0.893524i | ||||
\(361\) | 8.40153e8 | + | 3.05203e8i | 0.939904 | + | 0.341440i | ||||
\(362\) | −1.83295e8 | − | 4.97679e7i | −0.203082 | − | 0.0551403i | ||||
\(363\) | 3.00289e8 | − | 5.20116e8i | 0.329508 | − | 0.570725i | ||||
\(364\) | −2.08488e8 | + | 1.18529e8i | −0.226583 | + | 0.128815i | ||||
\(365\) | −5.63402e8 | − | 9.75840e8i | −0.606447 | − | 1.05040i | ||||
\(366\) | 2.47337e8 | + | 2.48988e8i | 0.263697 | + | 0.265457i | ||||
\(367\) | −1.06459e9 | + | 6.14641e8i | −1.12422 | + | 0.649068i | −0.942475 | − | 0.334277i | \(-0.891508\pi\) |
−0.181745 | + | 0.983346i | \(0.558174\pi\) | |||||||
\(368\) | −4.92079e8 | + | 2.75438e8i | −0.514716 | + | 0.288109i | ||||
\(369\) | 7.76604e8i | 0.804650i | ||||||||
\(370\) | −6.43917e7 | − | 2.43551e8i | −0.0660882 | − | 0.249967i | ||||
\(371\) | −4.68272e7 | − | 8.11071e7i | −0.0476091 | − | 0.0824613i | ||||
\(372\) | −1.73053e9 | − | 1.01453e9i | −1.74293 | − | 1.02180i | ||||
\(373\) | 6.63231e8i | 0.661735i | 0.943677 | + | 0.330868i | \(0.107341\pi\) | ||||
−0.943677 | + | 0.330868i | \(0.892659\pi\) | |||||||
\(374\) | −5.89874e8 | − | 2.23110e9i | −0.583054 | − | 2.20530i | ||||
\(375\) | 5.07745e7 | − | 8.79440e7i | 0.0497206 | − | 0.0861186i | ||||
\(376\) | 5.01613e8 | − | 1.80000e9i | 0.486644 | − | 1.74628i | ||||
\(377\) | −6.24301e8 | + | 1.08132e9i | −0.600067 | + | 1.03935i | ||||
\(378\) | 1.65267e7 | − | 1.64171e7i | 0.0157385 | − | 0.0156342i | ||||
\(379\) | 8.27238e8 | 0.780536 | 0.390268 | − | 0.920701i | \(-0.372382\pi\) | ||||
0.390268 | + | 0.920701i | \(0.372382\pi\) | |||||||
\(380\) | −1.16708e9 | − | 9.91978e8i | −1.09108 | − | 0.927383i | ||||
\(381\) | −1.67560e9 | −1.55215 | ||||||||
\(382\) | 6.37199e8 | − | 6.32974e8i | 0.584862 | − | 0.580984i | ||||
\(383\) | 1.13765e8 | − | 1.97048e8i | 0.103470 | − | 0.179215i | −0.809642 | − | 0.586924i | \(-0.800339\pi\) |
0.913112 | + | 0.407709i | \(0.133672\pi\) | |||||||
\(384\) | −3.60528e8 | − | 1.48278e9i | −0.324922 | − | 1.33635i | ||||
\(385\) | 1.44815e8 | − | 2.50827e8i | 0.129331 | − | 0.224007i | ||||
\(386\) | −2.81157e8 | − | 1.06343e9i | −0.248825 | − | 0.941138i | ||||
\(387\) | 3.15292e8i | 0.276518i | ||||||||
\(388\) | −1.05334e8 | + | 1.79673e8i | −0.0915502 | + | 0.156161i | ||||
\(389\) | −3.90948e8 | − | 6.77142e8i | −0.336740 | − | 0.583252i | 0.647077 | − | 0.762425i | \(-0.275991\pi\) |
−0.983818 | + | 0.179173i | \(0.942658\pi\) | |||||||
\(390\) | 1.03482e9 | + | 3.91404e9i | 0.883364 | + | 3.34118i | ||||
\(391\) | − | 1.30767e9i | − | 1.10632i | ||||||
\(392\) | 8.32895e8 | − | 8.16435e8i | 0.698375 | − | 0.684574i | ||||
\(393\) | −1.63030e8 | + | 9.41252e7i | −0.135485 | + | 0.0782226i | ||||
\(394\) | 9.42422e8 | + | 9.48712e8i | 0.776262 | + | 0.781444i | ||||
\(395\) | −1.46187e8 | − | 2.53204e8i | −0.119349 | − | 0.206719i | ||||
\(396\) | 6.62126e8 | + | 1.16466e9i | 0.535806 | + | 0.942468i | ||||
\(397\) | 2.03186e8 | − | 3.51929e8i | 0.162978 | − | 0.282286i | −0.772958 | − | 0.634458i | \(-0.781223\pi\) |
0.935935 | + | 0.352172i | \(0.114557\pi\) | |||||||
\(398\) | 9.56621e8 | + | 2.59739e8i | 0.760587 | + | 0.206513i | ||||
\(399\) | −1.98588e8 | − | 1.66531e8i | −0.156512 | − | 0.131247i | ||||
\(400\) | 6.56763e8 | + | 1.17333e9i | 0.513096 | + | 0.916663i | ||||
\(401\) | −4.80637e7 | − | 2.77496e7i | −0.0372231 | − | 0.0214907i | 0.481273 | − | 0.876571i | \(-0.340175\pi\) |
−0.518496 | + | 0.855080i | \(0.673508\pi\) | |||||||
\(402\) | −1.77398e9 | − | 1.78583e9i | −1.36194 | − | 1.37103i | ||||
\(403\) | −2.93351e9 | + | 1.69367e9i | −2.23265 | + | 1.28902i | ||||
\(404\) | 1.82424e9 | − | 1.03711e9i | 1.37641 | − | 0.782507i | ||||
\(405\) | −1.04984e9 | − | 1.81838e9i | −0.785292 | − | 1.36017i | ||||
\(406\) | −3.58891e7 | + | 1.32179e8i | −0.0266147 | + | 0.0980218i | ||||
\(407\) | −2.98688e8 | −0.219603 | ||||||||
\(408\) | 3.40871e9 | + | 9.49918e8i | 2.48473 | + | 0.692429i | ||||
\(409\) | −9.25398e8 | + | 5.34279e8i | −0.668801 | + | 0.386133i | −0.795622 | − | 0.605793i | \(-0.792856\pi\) |
0.126821 | + | 0.991926i | \(0.459523\pi\) | |||||||
\(410\) | 1.74086e9 | + | 4.72675e8i | 1.24745 | + | 0.338703i | ||||
\(411\) | −1.94639e9 | −1.38287 | ||||||||
\(412\) | −5.13136e6 | + | 7.71289e8i | −0.00361487 | + | 0.543347i | ||||
\(413\) | −1.84173e8 | − | 1.06332e8i | −0.128647 | − | 0.0742745i | ||||
\(414\) | 1.94040e8 | + | 7.33923e8i | 0.134397 | + | 0.508334i | ||||
\(415\) | −9.63756e8 | − | 5.56425e8i | −0.661910 | − | 0.382154i | ||||
\(416\) | −2.47754e9 | − | 7.08223e8i | −1.68731 | − | 0.482329i | ||||
\(417\) | − | 1.04256e9i | − | 0.704083i | ||||||
\(418\) | −1.49076e9 | + | 1.03715e9i | −0.998368 | + | 0.694585i | ||||
\(419\) | − | 1.66933e9i | − | 1.10864i | −0.832302 | − | 0.554322i | \(-0.812978\pi\) | ||
0.832302 | − | 0.554322i | \(-0.187022\pi\) | |||||||
\(420\) | 2.19487e8 | + | 3.86073e8i | 0.144556 | + | 0.254271i | ||||
\(421\) | 2.03855e9 | + | 1.17696e9i | 1.33148 | + | 0.768728i | 0.985526 | − | 0.169525i | \(-0.0542235\pi\) |
0.345950 | + | 0.938253i | \(0.387557\pi\) | |||||||
\(422\) | 1.44857e9 | − | 3.82982e8i | 0.938307 | − | 0.248076i | ||||
\(423\) | −2.17845e9 | − | 1.25773e9i | −1.39944 | − | 0.807969i | ||||
\(424\) | 2.70126e8 | − | 9.69325e8i | 0.172102 | − | 0.617574i | ||||
\(425\) | −3.11806e9 | −1.97026 | ||||||||
\(426\) | −4.80352e8 | + | 1.76914e9i | −0.301041 | + | 1.10874i | ||||
\(427\) | 5.62985e7 | − | 3.25040e7i | 0.0349945 | − | 0.0202041i | ||||
\(428\) | −9.21163e6 | + | 1.38459e9i | −0.00567915 | + | 0.853626i | ||||
\(429\) | 4.80014e9 | 2.93531 | ||||||||
\(430\) | 7.06770e8 | + | 1.91900e8i | 0.428685 | + | 0.116396i | ||||
\(431\) | 1.06983e9 | + | 1.85300e9i | 0.643641 | + | 1.11482i | 0.984613 | + | 0.174746i | \(0.0559105\pi\) |
−0.340972 | + | 0.940073i | \(0.610756\pi\) | |||||||
\(432\) | 2.50267e8 | + | 3.33018e6i | 0.149352 | + | 0.00198735i | ||||
\(433\) | −4.95747e8 | + | 2.86220e8i | −0.293462 | + | 0.169431i | −0.639502 | − | 0.768789i | \(-0.720860\pi\) |
0.346040 | + | 0.938220i | \(0.387526\pi\) | |||||||
\(434\) | −2.63614e8 | + | 2.61866e8i | −0.154794 | + | 0.153768i | ||||
\(435\) | 2.00236e9 | + | 1.15606e9i | 1.16635 | + | 0.673393i | ||||
\(436\) | −3.46278e8 | + | 5.90661e8i | −0.200089 | + | 0.341300i | ||||
\(437\) | −9.66882e8 | + | 3.52255e8i | −0.554228 | + | 0.201916i | ||||
\(438\) | 5.36780e8 | − | 1.97696e9i | 0.305237 | − | 1.12419i | ||||
\(439\) | 7.00080e7 | − | 1.21257e8i | 0.0394931 | − | 0.0684041i | −0.845603 | − | 0.533812i | \(-0.820759\pi\) |
0.885096 | + | 0.465408i | \(0.154092\pi\) | |||||||
\(440\) | 3.01375e9 | − | 7.75382e8i | 1.68664 | − | 0.433942i | ||||
\(441\) | −7.85031e8 | − | 1.35971e9i | −0.435865 | − | 0.754940i | ||||
\(442\) | 4.23919e9 | − | 4.21108e9i | 2.33509 | − | 2.31961i | ||||
\(443\) | 2.23779e9 | − | 1.29199e9i | 1.22294 | − | 0.706066i | 0.257398 | − | 0.966305i | \(-0.417135\pi\) |
0.965544 | + | 0.260239i | \(0.0838015\pi\) | |||||||
\(444\) | 2.31629e8 | − | 3.95100e8i | 0.125589 | − | 0.214223i | ||||
\(445\) | − | 1.47101e8i | − | 0.0791326i | ||||||
\(446\) | −1.15350e9 | + | 3.04971e8i | −0.615667 | + | 0.162774i | ||||
\(447\) | 1.69043e9 | + | 2.92791e9i | 0.895201 | + | 1.55053i | ||||
\(448\) | −2.82603e8 | − | 5.64111e6i | −0.148492 | − | 0.00296409i | ||||
\(449\) | − | 1.31519e9i | − | 0.685689i | −0.939392 | − | 0.342845i | \(-0.888610\pi\) | ||
0.939392 | − | 0.342845i | \(-0.111390\pi\) | |||||||
\(450\) | 1.74999e9 | − | 4.62674e8i | 0.905298 | − | 0.239349i | ||||
\(451\) | 1.06939e9 | − | 1.85224e9i | 0.548933 | − | 0.950780i | ||||
\(452\) | 9.47486e8 | + | 6.30359e6i | 0.482601 | + | 0.00321073i | ||||
\(453\) | 1.84505e9 | − | 3.19572e9i | 0.932533 | − | 1.61520i | ||||
\(454\) | −6.65617e8 | − | 6.70061e8i | −0.333833 | − | 0.336061i | ||||
\(455\) | 7.49912e8 | 0.373225 | ||||||||
\(456\) | −2.15859e8 | − | 2.77625e9i | −0.106609 | − | 1.37114i | ||||
\(457\) | −1.73107e9 | −0.848414 | −0.424207 | − | 0.905565i | \(-0.639447\pi\) | ||||
−0.424207 | + | 0.905565i | \(0.639447\pi\) | |||||||
\(458\) | 1.45104e8 | + | 1.46073e8i | 0.0705749 | + | 0.0710460i | ||||
\(459\) | −2.90196e8 | + | 5.02635e8i | −0.140071 | + | 0.242610i | ||||
\(460\) | 1.76329e9 | + | 1.17311e7i | 0.844639 | + | 0.00561936i | ||||
\(461\) | −1.01011e9 | + | 1.74957e9i | −0.480195 | + | 0.831722i | −0.999742 | − | 0.0227200i | \(-0.992767\pi\) |
0.519547 | + | 0.854442i | \(0.326101\pi\) | |||||||
\(462\) | 5.09059e8 | − | 1.34589e8i | 0.240171 | − | 0.0634982i | ||||
\(463\) | − | 3.97311e9i | − | 1.86036i | −0.367105 | − | 0.930179i | \(-0.619651\pi\) | ||
0.367105 | − | 0.930179i | \(-0.380349\pi\) | |||||||
\(464\) | −1.28413e9 | + | 7.18781e8i | −0.596753 | + | 0.334028i | ||||
\(465\) | 3.13628e9 | + | 5.43219e9i | 1.44654 | + | 2.50547i | ||||
\(466\) | −1.06662e9 | + | 2.82000e8i | −0.488267 | + | 0.129092i | ||||
\(467\) | − | 1.42566e9i | − | 0.647751i | −0.946100 | − | 0.323876i | \(-0.895014\pi\) | ||
0.946100 | − | 0.323876i | \(-0.104986\pi\) | |||||||
\(468\) | −1.75435e9 | + | 2.99247e9i | −0.791146 | + | 1.34949i | ||||
\(469\) | −4.03792e8 | + | 2.33129e8i | −0.180739 | + | 0.104350i | ||||
\(470\) | −4.14526e9 | + | 4.11778e9i | −1.84166 | + | 1.82945i | ||||
\(471\) | 1.42307e9 | + | 2.46482e9i | 0.627555 | + | 1.08696i | ||||
\(472\) | −5.69334e8 | − | 2.21288e9i | −0.249213 | − | 0.968638i | ||||
\(473\) | 4.34161e8 | − | 7.51988e8i | 0.188641 | − | 0.326736i | ||||
\(474\) | 1.39280e8 | − | 5.12967e8i | 0.0600708 | − | 0.221241i | ||||
\(475\) | 8.39927e8 | + | 2.30546e9i | 0.359595 | + | 0.987031i | ||||
\(476\) | 3.31497e8 | − | 5.65448e8i | 0.140882 | − | 0.240308i | ||||
\(477\) | −1.17312e9 | − | 6.77303e8i | −0.494914 | − | 0.285738i | ||||
\(478\) | −2.89636e8 | + | 2.87715e8i | −0.121298 | + | 0.120494i | ||||
\(479\) | −3.86545e9 | + | 2.23172e9i | −1.60704 | + | 0.927823i | −0.617007 | + | 0.786958i | \(0.711655\pi\) |
−0.990029 | + | 0.140865i | \(0.955012\pi\) | |||||||
\(480\) | −1.31147e9 | + | 4.58784e9i | −0.541268 | + | 1.89349i | ||||
\(481\) | −3.86683e8 | − | 6.69754e8i | −0.158433 | − | 0.274415i | ||||
\(482\) | −2.64955e9 | − | 7.19399e8i | −1.07772 | − | 0.292621i | ||||
\(483\) | 2.98365e8 | 0.120485 | ||||||||
\(484\) | 7.95188e6 | − | 1.19524e9i | 0.00318795 | − | 0.479177i | ||||
\(485\) | 5.64000e8 | − | 3.25626e8i | 0.224483 | − | 0.129605i | ||||
\(486\) | 9.01191e8 | − | 3.31909e9i | 0.356115 | − | 1.31157i | ||||
\(487\) | −1.68390e9 | −0.660642 | −0.330321 | − | 0.943869i | \(-0.607157\pi\) | ||||
−0.330321 | + | 0.943869i | \(0.607157\pi\) | |||||||
\(488\) | 6.72833e8 | + | 1.87501e8i | 0.262083 | + | 0.0730356i | ||||
\(489\) | −2.22653e9 | − | 1.28549e9i | −0.861090 | − | 0.497150i | ||||
\(490\) | −3.52579e9 | + | 9.32174e8i | −1.35385 | + | 0.357940i | ||||
\(491\) | 2.52896e9 | + | 1.46010e9i | 0.964178 | + | 0.556668i | 0.897456 | − | 0.441103i | \(-0.145413\pi\) |
0.0667215 | + | 0.997772i | \(0.478746\pi\) | |||||||
\(492\) | 1.62082e9 | + | 2.85097e9i | 0.613558 | + | 1.07923i | ||||
\(493\) | − | 3.41249e9i | − | 1.28265i | ||||||
\(494\) | −4.25557e9 | − | 2.00006e9i | −1.58823 | − | 0.746446i | ||||
\(495\) | − | 4.18917e9i | − | 1.55242i | ||||||
\(496\) | −3.99196e9 | − | 5.31192e7i | −1.46893 | − | 0.0195463i | ||||
\(497\) | 2.94070e8 | + | 1.69782e8i | 0.107449 | + | 0.0620359i | ||||
\(498\) | −5.17131e8 | − | 1.95596e9i | −0.187628 | − | 0.709672i | ||||
\(499\) | −2.24644e9 | − | 1.29698e9i | −0.809361 | − | 0.467285i | 0.0373731 | − | 0.999301i | \(-0.488101\pi\) |
−0.846734 | + | 0.532017i | \(0.821434\pi\) | |||||||
\(500\) | 1.34455e6 | − | 2.02097e8i | 0.000481040 | − | 0.0723046i | ||||
\(501\) | 3.94042e9 | 1.39994 | ||||||||
\(502\) | 4.41272e9 | + | 1.19813e9i | 1.55684 | + | 0.422709i | ||||
\(503\) | −1.47958e9 | + | 8.54238e8i | −0.518384 | + | 0.299289i | −0.736273 | − | 0.676684i | \(-0.763416\pi\) |
0.217889 | + | 0.975973i | \(0.430083\pi\) | |||||||
\(504\) | −1.02146e8 | + | 3.66544e8i | −0.0355398 | + | 0.127532i | ||||
\(505\) | −6.56162e9 | −2.26721 | ||||||||
\(506\) | 5.47825e8 | − | 2.01764e9i | 0.187982 | − | 0.692337i | ||||
\(507\) | 4.19643e9 | + | 7.26843e9i | 1.43005 | + | 2.47692i | ||||
\(508\) | −2.89902e9 | + | 1.64813e9i | −0.981133 | + | 0.557787i | ||||
\(509\) | −7.39369e8 | + | 4.26875e8i | −0.248513 | + | 0.143479i | −0.619083 | − | 0.785325i | \(-0.712496\pi\) |
0.370570 | + | 0.928804i | \(0.379162\pi\) | |||||||
\(510\) | −7.79794e9 | − | 7.85000e9i | −2.60306 | − | 2.62044i | ||||
\(511\) | −3.28615e8 | − | 1.89726e8i | −0.108947 | − | 0.0629005i | ||||
\(512\) | −2.08224e9 | − | 2.21080e9i | −0.685624 | − | 0.727956i | ||||
\(513\) | 4.49816e8 | + | 7.91715e7i | 0.147104 | + | 0.0258915i | ||||
\(514\) | 3.54989e8 | + | 9.63857e7i | 0.115304 | + | 0.0313070i | ||||
\(515\) | 1.20590e9 | − | 2.08868e9i | 0.389033 | − | 0.673824i | ||||
\(516\) | 6.58031e8 | + | 1.15746e9i | 0.210850 | + | 0.370879i | ||||
\(517\) | 3.46381e9 | + | 5.99949e9i | 1.10239 | + | 1.90940i | ||||
\(518\) | −5.97869e7 | − | 6.01859e7i | −0.0188996 | − | 0.0190257i | ||||
\(519\) | 3.06228e9 | − | 1.76801e9i | 0.961523 | − | 0.555136i | ||||
\(520\) | 5.64026e9 | + | 5.75397e9i | 1.75909 | + | 1.79455i | ||||
\(521\) | 6.08319e9i | 1.88451i | 0.334889 | + | 0.942257i | \(0.391301\pi\) | ||||
−0.334889 | + | 0.942257i | \(0.608699\pi\) | |||||||
\(522\) | 5.06364e8 | + | 1.91524e9i | 0.155817 | + | 0.589354i | ||||
\(523\) | 6.42176e8 | + | 1.11228e9i | 0.196290 | + | 0.339984i | 0.947323 | − | 0.320281i | \(-0.103777\pi\) |
−0.751033 | + | 0.660265i | \(0.770444\pi\) | |||||||
\(524\) | −1.89482e8 | + | 3.23207e8i | −0.0575317 | + | 0.0981343i | ||||
\(525\) | − | 7.11431e8i | − | 0.214573i | ||||||
\(526\) | −3.94167e8 | − | 1.49087e9i | −0.118095 | − | 0.446673i | ||||
\(527\) | 4.62887e9 | − | 8.01744e9i | 1.37765 | − | 2.38615i | ||||
\(528\) | 4.86143e9 | + | 2.89367e9i | 1.43729 | + | 0.855519i | ||||
\(529\) | −1.11008e9 | + | 1.92271e9i | −0.326030 | + | 0.564701i | ||||
\(530\) | −2.23228e9 | + | 2.21748e9i | −0.651304 | + | 0.646985i | ||||
\(531\) | −3.07595e9 | −0.891556 | ||||||||
\(532\) | −5.07385e8 | − | 9.27884e7i | −0.146099 | − | 0.0267179i | ||||
\(533\) | 5.53776e9 | 1.58412 | ||||||||
\(534\) | 1.89730e8 | − | 1.88472e8i | 0.0539190 | − | 0.0535615i | ||||
\(535\) | 2.16479e9 | − | 3.74952e9i | 0.611191 | − | 1.05861i | ||||
\(536\) | −4.82579e9 | − | 1.34482e9i | −1.35360 | − | 0.377214i | ||||
\(537\) | 3.55515e9 | − | 6.15770e9i | 0.990713 | − | 1.71596i | ||||
\(538\) | −1.04777e8 | − | 3.96302e8i | −0.0290087 | − | 0.109721i | ||||
\(539\) | 4.32399e9i | 1.18939i | ||||||||
\(540\) | −6.75159e8 | − | 3.95815e8i | −0.184513 | − | 0.108172i | ||||
\(541\) | 1.00007e9 | + | 1.73218e9i | 0.271544 | + | 0.470329i | 0.969257 | − | 0.246049i | \(-0.0791323\pi\) |
−0.697713 | + | 0.716377i | \(0.745799\pi\) | |||||||
\(542\) | −8.31110e7 | − | 3.14354e8i | −0.0224213 | − | 0.0848049i | ||||
\(543\) | 1.07971e9i | 0.289406i | ||||||||
\(544\) | 6.83188e9 | − | 1.70934e9i | 1.81947 | − | 0.455231i | ||||
\(545\) | 1.85410e9 | − | 1.07047e9i | 0.490621 | − | 0.283260i | ||||
\(546\) | 9.60820e8 | + | 9.67233e8i | 0.252620 | + | 0.254306i | ||||
\(547\) | −1.77743e9 | − | 3.07859e9i | −0.464340 | − | 0.804260i | 0.534832 | − | 0.844959i | \(-0.320375\pi\) |
−0.999171 | + | 0.0406985i | \(0.987042\pi\) | |||||||
\(548\) | −3.36751e9 | + | 1.91448e9i | −0.874133 | + | 0.496957i | ||||
\(549\) | 4.70133e8 | − | 8.14295e8i | 0.121260 | − | 0.210029i | ||||
\(550\) | −4.81093e9 | − | 1.30625e9i | −1.23299 | − | 0.334779i | ||||
\(551\) | −2.52317e9 | + | 9.19240e8i | −0.642563 | + | 0.234098i | ||||
\(552\) | 2.24407e9 | + | 2.28931e9i | 0.567871 | + | 0.579320i | ||||
\(553\) | −8.52666e7 | − | 4.92287e7i | −0.0214408 | − | 0.0123789i | ||||
\(554\) | 2.73964e9 | + | 2.75793e9i | 0.684557 | + | 0.689126i | ||||
\(555\) | −1.24023e9 | + | 7.16047e8i | −0.307948 | + | 0.177794i | ||||
\(556\) | −1.02547e9 | − | 1.80377e9i | −0.253023 | − | 0.445060i | ||||
\(557\) | −1.82544e9 | − | 3.16175e9i | −0.447583 | − | 0.775236i | 0.550645 | − | 0.834739i | \(-0.314382\pi\) |
−0.998228 | + | 0.0595031i | \(0.981048\pi\) | |||||||
\(558\) | −1.40825e9 | + | 5.18659e9i | −0.343131 | + | 1.26375i | ||||
\(559\) | 2.24826e9 | 0.544385 | ||||||||
\(560\) | 7.59487e8 | + | 4.52069e8i | 0.182752 | + | 0.108779i | ||||
\(561\) | −1.13614e10 | + | 6.55951e9i | −2.71683 | + | 1.56856i | ||||
\(562\) | 4.00009e9 | + | 1.08609e9i | 0.950588 | + | 0.258101i | ||||
\(563\) | 3.19239e9 | 0.753939 | 0.376970 | − | 0.926226i | \(-0.376966\pi\) | ||||
0.376970 | + | 0.926226i | \(0.376966\pi\) | |||||||
\(564\) | −1.06222e10 | − | 7.06690e7i | −2.49308 | − | 0.0165864i | ||||
\(565\) | −2.56583e9 | − | 1.48138e9i | −0.598491 | − | 0.345539i | ||||
\(566\) | −6.60640e8 | − | 2.49876e9i | −0.153146 | − | 0.579251i | ||||
\(567\) | −6.12341e8 | − | 3.53535e8i | −0.141076 | − | 0.0814502i | ||||
\(568\) | 9.09061e8 | + | 3.53333e9i | 0.208149 | + | 0.809031i | ||||
\(569\) | − | 2.37445e9i | − | 0.540343i | −0.962812 | − | 0.270172i | \(-0.912920\pi\) | ||
0.962812 | − | 0.270172i | \(-0.0870805\pi\) | |||||||
\(570\) | −3.70365e9 | + | 7.88033e9i | −0.837660 | + | 1.78231i | ||||
\(571\) | 3.00554e9i | 0.675610i | 0.941216 | + | 0.337805i | \(0.109684\pi\) | ||||
−0.941216 | + | 0.337805i | \(0.890316\pi\) | |||||||
\(572\) | 8.30490e9 | − | 4.72145e9i | 1.85545 | − | 1.05485i | ||||
\(573\) | −4.42172e9 | − | 2.55288e9i | −0.981861 | − | 0.566878i | ||||
\(574\) | 5.87284e8 | − | 1.55270e8i | 0.129615 | − | 0.0342686i | ||||
\(575\) | −2.44632e9 | − | 1.41238e9i | −0.536631 | − | 0.309824i | ||||
\(576\) | −3.58070e9 | + | 1.97311e9i | −0.780710 | + | 0.430201i | ||||
\(577\) | 8.94066e9 | 1.93756 | 0.968778 | − | 0.247931i | \(-0.0797507\pi\) | ||||
0.968778 | + | 0.247931i | \(0.0797507\pi\) | |||||||
\(578\) | −3.06268e9 | + | 1.12799e10i | −0.659712 | + | 2.42972i | ||||
\(579\) | −5.41529e9 | + | 3.12652e9i | −1.15944 | + | 0.669401i | ||||
\(580\) | 4.60147e9 | + | 3.06134e7i | 0.979260 | + | 0.00651499i | ||||
\(581\) | −3.74753e8 | −0.0792737 | ||||||||
\(582\) | 1.14261e9 | + | 3.10239e8i | 0.240253 | + | 0.0652328i | ||||
\(583\) | 1.86531e9 | + | 3.23081e9i | 0.389862 | + | 0.675261i | ||||
\(584\) | −1.01585e9 | − | 3.94839e9i | −0.211049 | − | 0.820305i | ||||
\(585\) | 9.39346e9 | − | 5.42332e9i | 1.93990 | − | 1.12000i | ||||
\(586\) | 7.17031e8 | − | 7.12276e8i | 0.147196 | − | 0.146220i | ||||
\(587\) | 5.01257e9 | + | 2.89401e9i | 1.02289 | + | 0.590563i | 0.914938 | − | 0.403593i | \(-0.132239\pi\) |
0.107947 | + | 0.994157i | \(0.465572\pi\) | |||||||
\(588\) | −5.71971e9 | − | 3.35321e9i | −1.16025 | − | 0.680205i | ||||
\(589\) | −7.17493e9 | − | 1.26285e9i | −1.44682 | − | 0.254653i | ||||
\(590\) | −1.87216e9 | + | 6.89517e9i | −0.375285 | + | 1.38217i | ||||
\(591\) | 3.80093e9 | − | 6.58341e9i | 0.757415 | − | 1.31188i | ||||
\(592\) | 1.21277e7 | − | 9.11409e8i | 0.00240244 | − | 0.180546i | ||||
\(593\) | 3.70060e9 | + | 6.40962e9i | 0.728753 | + | 1.26224i | 0.957411 | + | 0.288730i | \(0.0932330\pi\) |
−0.228658 | + | 0.973507i | \(0.573434\pi\) | |||||||
\(594\) | −6.58321e8 | + | 6.53956e8i | −0.128880 | + | 0.128025i | ||||
\(595\) | −1.77496e9 | + | 1.02477e9i | −0.345445 | + | 0.199443i | ||||
\(596\) | 5.80458e9 | + | 3.40297e9i | 1.12308 | + | 0.658409i | ||||
\(597\) | − | 5.63503e9i | − | 1.08389i | ||||||
\(598\) | 5.23341e9 | − | 1.38365e9i | 1.00076 | − | 0.264589i | ||||
\(599\) | 1.72323e9 | + | 2.98473e9i | 0.327605 | + | 0.567429i | 0.982036 | − | 0.188693i | \(-0.0604251\pi\) |
−0.654431 | + | 0.756122i | \(0.727092\pi\) | |||||||
\(600\) | 5.45871e9 | − | 5.35084e9i | 1.03172 | − | 1.01133i | ||||
\(601\) | − | 1.01592e9i | − | 0.190896i | −0.995434 | − | 0.0954482i | \(-0.969572\pi\) | ||
0.995434 | − | 0.0954482i | \(-0.0304284\pi\) | |||||||
\(602\) | 2.38430e8 | − | 6.30379e7i | 0.0445424 | − | 0.0117764i | ||||
\(603\) | −3.37196e9 | + | 5.84040e9i | −0.626284 | + | 1.08476i | ||||
\(604\) | 4.88583e7 | − | 7.34384e9i | 0.00902214 | − | 1.35611i | ||||
\(605\) | −1.86874e9 | + | 3.23675e9i | −0.343087 | + | 0.594244i | ||||
\(606\) | −8.40702e9 | − | 8.46314e9i | −1.53457 | − | 1.54482i | ||||
\(607\) | 5.02816e9 | 0.912533 | 0.456266 | − | 0.889843i | \(-0.349186\pi\) | ||||
0.456266 | + | 0.889843i | \(0.349186\pi\) | |||||||
\(608\) | −3.10421e9 | − | 4.59098e9i | −0.560129 | − | 0.828405i | ||||
\(609\) | 7.78610e8 | 0.139688 | ||||||||
\(610\) | −1.53921e9 | − | 1.54948e9i | −0.274564 | − | 0.276397i | ||||
\(611\) | −8.96852e9 | + | 1.55339e10i | −1.59066 | + | 2.75510i | ||||
\(612\) | 6.30716e7 | − | 9.48022e9i | 0.0111225 | − | 1.67182i | ||||
\(613\) | −8.24163e8 | + | 1.42749e9i | −0.144511 | + | 0.250301i | −0.929190 | − | 0.369601i | \(-0.879494\pi\) |
0.784679 | + | 0.619902i | \(0.212828\pi\) | |||||||
\(614\) | −2.42482e9 | + | 6.41092e8i | −0.422757 | + | 0.111771i | ||||
\(615\) | − | 1.02547e10i | − | 1.77770i | ||||||
\(616\) | 7.48359e8 | − | 7.33570e8i | 0.128996 | − | 0.126447i | ||||
\(617\) | −3.06905e9 | − | 5.31574e9i | −0.526024 | − | 0.911100i | −0.999540 | − | 0.0303149i | \(-0.990349\pi\) |
0.473517 | − | 0.880785i | \(-0.342984\pi\) | |||||||
\(618\) | 4.23902e9 | − | 1.12074e9i | 0.722447 | − | 0.191006i | ||||
\(619\) | − | 5.14880e9i | − | 0.872546i | −0.899814 | − | 0.436273i | \(-0.856298\pi\) | ||
0.899814 | − | 0.436273i | \(-0.143702\pi\) | |||||||
\(620\) | 1.07693e10 | + | 6.31358e9i | 1.81476 | + | 1.06391i | ||||
\(621\) | −4.55357e8 | + | 2.62900e8i | −0.0763012 | + | 0.0440525i | ||||
\(622\) | −4.35750e9 | + | 4.32860e9i | −0.726057 | + | 0.721243i | ||||
\(623\) | −2.47682e7 | − | 4.28998e7i | −0.00410380 | − | 0.00710799i | ||||
\(624\) | −1.94901e8 | + | 1.46470e10i | −0.0321121 | + | 2.41326i | ||||
\(625\) | 2.88988e9 | − | 5.00542e9i | 0.473478 | − | 0.820088i | ||||
\(626\) | 3.38682e8 | − | 1.24737e9i | 0.0551800 | − | 0.203228i | ||||
\(627\) | 7.91052e9 | + | 6.63356e9i | 1.28165 | + | 1.07476i | ||||
\(628\) | 4.88652e9 | + | 2.86475e9i | 0.787301 | + | 0.461559i | ||||
\(629\) | 1.83047e9 | + | 1.05682e9i | 0.293282 | + | 0.169326i | ||||
\(630\) | 8.44123e8 | − | 8.38525e8i | 0.134497 | − | 0.133605i | ||||
\(631\) | 2.25652e9 | − | 1.30280e9i | 0.357550 | − | 0.206432i | −0.310455 | − | 0.950588i | \(-0.600482\pi\) |
0.668006 | + | 0.744156i | \(0.267148\pi\) | |||||||
\(632\) | −2.63585e8 | − | 1.02450e9i | −0.0415347 | − | 0.161437i | ||||
\(633\) | −4.25883e9 | − | 7.37651e9i | −0.667387 | − | 1.15595i | ||||
\(634\) | −9.28867e9 | − | 2.52204e9i | −1.44757 | − | 0.393042i | ||||
\(635\) | 1.04275e10 | 1.61611 | ||||||||
\(636\) | −5.72019e9 | − | 3.80563e7i | −0.881680 | − | 0.00586579i | ||||
\(637\) | −9.69577e9 | + | 5.59786e9i | −1.48626 | + | 0.858092i | ||||
\(638\) | 1.42960e9 | − | 5.26522e9i | 0.217943 | − | 0.802683i | ||||
\(639\) | 4.91140e9 | 0.744650 | ||||||||
\(640\) | 2.24361e9 | + | 9.22756e9i | 0.338313 | + | 1.39142i | ||||
\(641\) | 1.95678e8 | + | 1.12975e8i | 0.0293453 | + | 0.0169425i | 0.514601 | − | 0.857430i | \(-0.327940\pi\) |
−0.485256 | + | 0.874372i | \(0.661273\pi\) | |||||||
\(642\) | 7.60973e9 | − | 2.01191e9i | 1.13500 | − | 0.300080i | ||||
\(643\) | −1.13548e10 | − | 6.55571e9i | −1.68439 | − | 0.972481i | −0.958685 | − | 0.284471i | \(-0.908182\pi\) |
−0.725702 | − | 0.688010i | \(-0.758485\pi\) | |||||||
\(644\) | 5.16212e8 | − | 2.93474e8i | 0.0761602 | − | 0.0432981i | ||||
\(645\) | − | 4.16327e9i | − | 0.610907i | ||||||
\(646\) | 1.28056e10 | − | 1.08142e9i | 1.86890 | − | 0.157826i | ||||
\(647\) | − | 1.03015e10i | − | 1.49533i | −0.664078 | − | 0.747664i | \(-0.731176\pi\) | ||
0.664078 | − | 0.747664i | \(-0.268824\pi\) | |||||||
\(648\) | −1.89293e9 | − | 7.35744e9i | −0.273289 | − | 1.06222i | ||||
\(649\) | 7.33632e9 | + | 4.23563e9i | 1.05347 | + | 0.608221i | ||||
\(650\) | −3.29921e9 | − | 1.24787e10i | −0.471209 | − | 1.78227i | ||||
\(651\) | 1.82930e9 | + | 1.05615e9i | 0.259867 | + | 0.150034i | ||||
\(652\) | −5.11663e9 | − | 3.40408e7i | −0.722965 | − | 0.00480986i | ||||
\(653\) | −3.51014e9 | −0.493319 | −0.246660 | − | 0.969102i | \(-0.579333\pi\) | ||||
−0.246660 | + | 0.969102i | \(0.579333\pi\) | |||||||
\(654\) | 3.75624e9 | + | 1.01989e9i | 0.525087 | + | 0.142570i | ||||
\(655\) | 1.01455e9 | − | 5.85754e8i | 0.141069 | − | 0.0814461i | ||||
\(656\) | 5.60847e9 | + | 3.33833e9i | 0.775677 | + | 0.461706i | ||||
\(657\) | −5.48835e9 | −0.755028 | ||||||||
\(658\) | −5.15571e8 | + | 1.89885e9i | −0.0705502 | + | 0.259836i | ||||
\(659\) | −1.14232e9 | − | 1.97855e9i | −0.155485 | − | 0.269308i | 0.777751 | − | 0.628573i | \(-0.216361\pi\) |
−0.933236 | + | 0.359265i | \(0.883027\pi\) | |||||||
\(660\) | −8.74304e9 | − | 1.53788e10i | −1.18375 | − | 2.08218i | ||||
\(661\) | −3.55534e9 | + | 2.05267e9i | −0.478823 | + | 0.276449i | −0.719926 | − | 0.694051i | \(-0.755824\pi\) |
0.241103 | + | 0.970500i | \(0.422491\pi\) | |||||||
\(662\) | 2.92137e9 | + | 2.94087e9i | 0.391366 | + | 0.393978i | ||||
\(663\) | −2.94170e10 | − | 1.69839e10i | −3.92014 | − | 2.26329i | ||||
\(664\) | −2.81861e9 | − | 2.87543e9i | −0.373634 | − | 0.381167i | ||||
\(665\) | 1.23584e9 | + | 1.03634e9i | 0.162962 | + | 0.136656i | ||||
\(666\) | −1.18416e9 | − | 3.21519e8i | −0.155328 | − | 0.0421742i | ||||
\(667\) | 1.54575e9 | − | 2.67733e9i | 0.201697 | − | 0.349350i | ||||
\(668\) | 6.81748e9 | − | 3.87583e9i | 0.884924 | − | 0.503091i | ||||
\(669\) | 3.39133e9 | + | 5.87395e9i | 0.437903 | + | 0.758471i | ||||
\(670\) | 1.10397e10 | + | 1.11134e10i | 1.41807 | + | 1.42753i | ||||
\(671\) | −2.24259e9 | + | 1.29476e9i | −0.286564 | + | 0.165448i | ||||
\(672\) | 3.90011e8 | + | 1.55879e9i | 0.0495774 | + | 0.198151i | ||||
\(673\) | − | 9.46811e9i | − | 1.19732i | −0.801003 | − | 0.598660i | \(-0.795700\pi\) | ||
0.801003 | − | 0.598660i | \(-0.204300\pi\) | |||||||
\(674\) | 1.00249e9 | + | 3.79173e9i | 0.126115 | + | 0.477011i | ||||
\(675\) | 6.26868e8 | + | 1.08577e9i | 0.0784536 | + | 0.135886i | ||||
\(676\) | 1.44097e10 | + | 8.44774e9i | 1.79408 | + | 1.05179i | ||||
\(677\) | 1.24092e10i | 1.53703i | 0.639830 | + | 0.768517i | \(0.279005\pi\) | ||||
−0.639830 | + | 0.768517i | \(0.720995\pi\) | |||||||
\(678\) | −1.37677e9 | − | 5.20740e9i | −0.169651 | − | 0.641678i | ||||
\(679\) | 1.09655e8 | − | 1.89928e8i | 0.0134426 | − | 0.0232833i | ||||
\(680\) | −2.12128e10 | − | 5.91146e9i | −2.58712 | − | 0.720964i | ||||
\(681\) | −2.68454e9 | + | 4.64976e9i | −0.325728 | + | 0.564177i | ||||
\(682\) | 1.05008e10 | − | 1.04311e10i | 1.26758 | − | 1.25918i | ||||
\(683\) | 9.69527e9 | 1.16436 | 0.582180 | − | 0.813060i | \(-0.302200\pi\) | ||||
0.582180 | + | 0.813060i | \(0.302200\pi\) | |||||||
\(684\) | −7.02658e9 | + | 2.50710e9i | −0.839553 | + | 0.299554i | ||||
\(685\) | 1.21126e10 | 1.43986 | ||||||||
\(686\) | −1.76223e9 | + | 1.75055e9i | −0.208415 | + | 0.207033i | ||||
\(687\) | 5.85227e8 | − | 1.01364e9i | 0.0688614 | − | 0.119271i | ||||
\(688\) | 2.27697e9 | + | 1.35532e9i | 0.266562 | + | 0.158665i | ||||
\(689\) | −4.82967e9 | + | 8.36524e9i | −0.562536 | + | 0.974341i | ||||
\(690\) | −2.56220e9 | − | 9.69108e9i | −0.296921 | − | 1.12305i | ||||
\(691\) | − | 1.23615e10i | − | 1.42527i | −0.701536 | − | 0.712634i | \(-0.747502\pi\) | ||
0.701536 | − | 0.712634i | \(-0.252498\pi\) | |||||||
\(692\) | 3.55915e9 | − | 6.07099e9i | 0.408295 | − | 0.696447i | ||||
\(693\) | −7.05354e8 | − | 1.22171e9i | −0.0805084 | − | 0.139445i | ||||
\(694\) | −1.03738e9 | − | 3.92373e9i | −0.117810 | − | 0.445596i | ||||
\(695\) | 6.48797e9i | 0.733099i | ||||||||
\(696\) | 5.85611e9 | + | 5.97417e9i | 0.658380 | + | 0.671654i | ||||
\(697\) | −1.31073e10 | + | 7.56748e9i | −1.46621 | + | 0.846519i | ||||
\(698\) | 3.18917e9 | + | 3.21046e9i | 0.354964 | + | 0.357333i | ||||
\(699\) | 3.13589e9 | + | 5.43152e9i | 0.347288 | + | 0.601521i | ||||
\(700\) | −6.99768e8 | − | 1.23087e9i | −0.0771100 | − | 0.135634i | ||||
\(701\) | 4.70169e9 | − | 8.14357e9i | 0.515515 | − | 0.892897i | −0.484323 | − | 0.874889i | \(-0.660934\pi\) |
0.999838 | − | 0.0180083i | \(-0.00573254\pi\) | |||||||
\(702\) | −2.31864e9 | − | 6.29552e8i | −0.252961 | − | 0.0686834i | ||||
\(703\) | 2.88322e8 | − | 1.63812e9i | 0.0312993 | − | 0.177828i | ||||
\(704\) | 1.12572e10 | + | 2.24707e8i | 1.21598 | + | 0.0242724i | ||||
\(705\) | 2.87653e10 | + | 1.66076e10i | 3.09176 | + | 1.78503i | ||||
\(706\) | −1.08830e10 | − | 1.09556e10i | −1.16394 | − | 1.17171i | ||||
\(707\) | −1.91360e9 | + | 1.10482e9i | −0.203649 | + | 0.117577i | ||||
\(708\) | −1.12921e10 | + | 6.41968e9i | −1.19579 | + | 0.679825i | ||||
\(709\) | −8.71013e8 | − | 1.50864e9i | −0.0917831 | − | 0.158973i | 0.816478 | − | 0.577376i | \(-0.195923\pi\) |
−0.908261 | + | 0.418403i | \(0.862590\pi\) | |||||||
\(710\) | 2.98929e9 | − | 1.10096e10i | 0.313447 | − | 1.15443i | ||||
\(711\) | −1.42408e9 | −0.148590 | ||||||||
\(712\) | 1.42877e8 | − | 5.12702e8i | 0.0148348 | − | 0.0532335i | ||||
\(713\) | 7.26331e9 | − | 4.19348e9i | 0.750449 | − | 0.433272i | ||||
\(714\) | −3.59590e9 | − | 9.76350e8i | −0.369712 | − | 0.100383i | ||||
\(715\) | −2.98719e10 | −3.05627 | ||||||||
\(716\) | 9.41431e7 | − | 1.41505e10i | 0.00958502 | − | 1.44071i | ||||
\(717\) | 2.00987e9 | + | 1.16040e9i | 0.203634 | + | 0.117568i | ||||
\(718\) | 2.71698e9 | + | 1.02765e10i | 0.273937 | + | 1.03612i | ||||
\(719\) | 1.97681e9 | + | 1.14131e9i | 0.198342 | + | 0.114513i | 0.595882 | − | 0.803072i | \(-0.296803\pi\) |
−0.397540 | + | 0.917585i | \(0.630136\pi\) | |||||||
\(720\) | 1.27827e10 | + | 1.70094e8i | 1.27632 | + | 0.0169834i | ||||
\(721\) | − | 8.12176e8i | − | 0.0807006i | ||||||
\(722\) | −4.24910e9 | − | 9.17704e9i | −0.420162 | − | 0.907449i | ||||
\(723\) | 1.56073e10i | 1.53583i | ||||||||
\(724\) | 1.06201e9 | + | 1.86805e9i | 0.104003 | + | 0.182938i | ||||
\(725\) | −6.38390e9 | − | 3.68575e9i | −0.622161 | − | 0.359205i | ||||
\(726\) | −6.56905e9 | + | 1.73677e9i | −0.637125 | + | 0.168448i | ||||
\(727\) | 8.32354e9 | + | 4.80560e9i | 0.803411 | + | 0.463849i | 0.844662 | − | 0.535299i | \(-0.179801\pi\) |
−0.0412517 | + | 0.999149i | \(0.513135\pi\) | |||||||
\(728\) | 2.61373e9 | + | 7.28378e8i | 0.251073 | + | 0.0699676i | ||||
\(729\) | −8.07823e9 | −0.772271 | ||||||||
\(730\) | −3.34045e9 | + | 1.23029e10i | −0.317816 | + | 1.17052i | ||||
\(731\) | −5.32139e9 | + | 3.07231e9i | −0.503865 | + | 0.290907i | ||||
\(732\) | 2.64158e7 | − | 3.97053e9i | 0.00248929 | − | 0.374162i | ||||
\(733\) | 3.51314e9 | 0.329482 | 0.164741 | − | 0.986337i | \(-0.447321\pi\) | ||||
0.164741 | + | 0.986337i | \(0.447321\pi\) | |||||||
\(734\) | 1.34218e10 | + | 3.64426e9i | 1.25278 | + | 0.340152i | ||||
\(735\) | 1.03659e10 | + | 1.79543e10i | 0.962948 | + | 1.66788i | ||||
\(736\) | 6.13434e9 | + | 1.75354e9i | 0.567147 | + | 0.162123i | ||||
\(737\) | 1.60846e10 | − | 9.28645e9i | 1.48004 | − | 0.854503i | ||||
\(738\) | 6.23346e9 | − | 6.19213e9i | 0.570863 | − | 0.567078i | ||||
\(739\) | 3.95572e9 | + | 2.28383e9i | 0.360553 | + | 0.208166i | 0.669323 | − | 0.742971i | \(-0.266584\pi\) |
−0.308770 | + | 0.951137i | \(0.599917\pi\) | |||||||
\(740\) | −1.44146e9 | + | 2.45876e9i | −0.130765 | + | 0.223051i | ||||
\(741\) | −4.63356e9 | + | 2.63257e10i | −0.418361 | + | 2.37693i | ||||
\(742\) | −2.77642e8 | + | 1.02256e9i | −0.0249501 | + | 0.0918912i | ||||
\(743\) | −1.00662e9 | + | 1.74352e9i | −0.0900339 | + | 0.155943i | −0.907525 | − | 0.419998i | \(-0.862031\pi\) |
0.817491 | + | 0.575941i | \(0.195364\pi\) | |||||||
\(744\) | 5.65491e9 | + | 2.19795e10i | 0.503409 | + | 1.95664i | ||||
\(745\) | −1.05198e10 | − | 1.82208e10i | −0.932092 | − | 1.61443i | ||||
\(746\) | 5.32347e9 | − | 5.28817e9i | 0.469471 | − | 0.466358i | ||||
\(747\) | −4.69419e9 | + | 2.71019e9i | −0.412039 | + | 0.237891i | ||||
\(748\) | −1.32048e10 | + | 2.25240e10i | −1.15366 | + | 1.96784i | ||||
\(749\) | − | 1.45799e9i | − | 0.126785i | ||||||
\(750\) | −1.11073e9 | + | 2.93663e8i | −0.0961379 | + | 0.0254176i | ||||
\(751\) | −1.00078e10 | − | 1.73341e10i | −0.862184 | − | 1.49335i | −0.869816 | − | 0.493376i | \(-0.835763\pi\) |
0.00763221 | − | 0.999971i | \(-0.497571\pi\) | |||||||
\(752\) | −1.84473e10 | + | 1.03258e10i | −1.58187 | + | 0.885443i | ||||
\(753\) | − | 2.59934e10i | − | 2.21860i | ||||||
\(754\) | 1.36571e10 | − | 3.61075e9i | 1.16027 | − | 0.306759i | ||||
\(755\) | −1.14820e10 | + | 1.98874e10i | −0.970963 | + | 1.68176i | ||||
\(756\) | −2.63546e8 | − | 1.75336e6i | −0.0221835 | − | 0.000147586i | ||||
\(757\) | 1.75891e9 | − | 3.04652e9i | 0.147370 | − | 0.255252i | −0.782885 | − | 0.622167i | \(-0.786253\pi\) |
0.930255 | + | 0.366915i | \(0.119586\pi\) | |||||||
\(758\) | −6.59585e9 | − | 6.63988e9i | −0.550084 | − | 0.553755i | ||||
\(759\) | −1.18850e10 | −0.986629 | ||||||||
\(760\) | 1.34332e9 | + | 1.72770e10i | 0.111002 | + | 1.42765i | ||||
\(761\) | −7.59112e9 | −0.624395 | −0.312198 | − | 0.950017i | \(-0.601065\pi\) | ||||
−0.312198 | + | 0.950017i | \(0.601065\pi\) | |||||||
\(762\) | 1.33601e10 | + | 1.34493e10i | 1.09388 | + | 1.10118i | ||||
\(763\) | 3.60481e8 | − | 6.24371e8i | 0.0293796 | − | 0.0508870i | ||||
\(764\) | −1.01612e10 | − | 6.76022e7i | −0.824364 | − | 0.00548447i | ||||
\(765\) | −1.48222e10 | + | 2.56728e10i | −1.19701 | + | 2.07328i | ||||
\(766\) | −2.48871e9 | + | 6.57982e8i | −0.200066 | + | 0.0528949i | ||||
\(767\) | 2.19338e10i | 1.75522i | ||||||||
\(768\) | −9.02705e9 | + | 1.47166e10i | −0.719087 | + | 1.17231i | ||||
\(769\) | 1.24511e10 | + | 2.15660e10i | 0.987341 | + | 1.71012i | 0.631034 | + | 0.775755i | \(0.282631\pi\) |
0.356307 | + | 0.934369i | \(0.384036\pi\) | |||||||
\(770\) | −3.16794e9 | + | 8.37562e8i | −0.250069 | + | 0.0661149i | ||||
\(771\) | − | 2.09108e9i | − | 0.164316i | ||||||
\(772\) | −6.29393e9 | + | 1.07358e10i | −0.492336 | + | 0.839798i | ||||
\(773\) | 9.71590e9 | − | 5.60948e9i | 0.756580 | − | 0.436812i | −0.0714863 | − | 0.997442i | \(-0.522774\pi\) |
0.828067 | + | 0.560630i | \(0.189441\pi\) | |||||||
\(774\) | 2.53071e9 | − | 2.51393e9i | 0.196177 | − | 0.194877i | ||||
\(775\) | −9.99905e9 | − | 1.73189e10i | −0.771619 | − | 1.33648i | ||||
\(776\) | 2.28203e9 | − | 5.87124e8i | 0.175309 | − | 0.0451039i | ||||
\(777\) | −2.41130e8 | + | 4.17649e8i | −0.0184407 | + | 0.0319402i | ||||
\(778\) | −2.31796e9 | + | 8.53705e9i | −0.176473 | + | 0.649949i | ||||
\(779\) | 9.12611e9 | + | 7.65291e9i | 0.691679 | + | 0.580024i | ||||
\(780\) | 2.31653e10 | − | 3.95141e10i | 1.74786 | − | 2.98140i | ||||
\(781\) | −1.17140e10 | − | 6.76306e9i | −0.879884 | − | 0.508001i | ||||
\(782\) | −1.04961e10 | + | 1.04265e10i | −0.784884 | + | 0.779679i | ||||
\(783\) | −1.18829e9 | + | 6.86062e8i | −0.0884623 | + | 0.0510737i | ||||
\(784\) | −1.31941e10 | − | 1.75568e8i | −0.977855 | − | 0.0130119i | ||||
\(785\) | −8.85593e9 | − | 1.53389e10i | −0.653417 | − | 1.13175i | ||||
\(786\) | 2.05539e9 | + | 5.58076e8i | 0.150979 | + | 0.0409934i | ||||
\(787\) | −8.07819e9 | −0.590748 | −0.295374 | − | 0.955382i | \(-0.595444\pi\) | ||||
−0.295374 | + | 0.955382i | \(0.595444\pi\) | |||||||
\(788\) | 1.00652e8 | − | 1.51288e10i | 0.00732789 | − | 1.10145i | ||||
\(789\) | −7.59193e9 | + | 4.38320e9i | −0.550279 | + | 0.317704i | ||||
\(790\) | −8.66756e8 | + | 3.19226e9i | −0.0625463 | + | 0.230358i | ||||
\(791\) | −9.97713e8 | −0.0716784 | ||||||||
\(792\) | 4.06888e9 | − | 1.46009e10i | 0.291029 | − | 1.04434i | ||||
\(793\) | −5.80653e9 | − | 3.35240e9i | −0.413486 | − | 0.238726i | ||||
\(794\) | −4.44486e9 | + | 1.17516e9i | −0.315128 | + | 0.0833156i | ||||
\(795\) | 1.54905e10 | + | 8.94344e9i | 1.09340 | + | 0.631277i | ||||
\(796\) | −5.54265e9 | − | 9.74937e9i | −0.389513 | − | 0.685142i | ||||
\(797\) | − | 2.66113e10i | − | 1.86192i | −0.365115 | − | 0.930962i | \(-0.618970\pi\) | ||
0.365115 | − | 0.930962i | \(-0.381030\pi\) | |||||||
\(798\) | 2.46741e8 | + | 2.92178e9i | 0.0171882 | + | 0.203534i | ||||
\(799\) | − | 4.90228e10i | − | 3.40004i | ||||||
\(800\) | 4.18120e9 | − | 1.46269e10i | 0.288726 | − | 1.01004i | ||||
\(801\) | −6.20497e8 | − | 3.58244e8i | −0.0426605 | − | 0.0246300i | ||||
\(802\) | 1.60495e8 | + | 6.07044e8i | 0.0109863 | + | 0.0415537i | ||||
\(803\) | 1.30900e10 | + | 7.55753e9i | 0.892146 | + | 0.515081i | ||||
\(804\) | −1.89463e8 | + | 2.84780e10i | −0.0128567 | + | 1.93247i | ||||
\(805\) | −1.85676e9 | −0.125450 | ||||||||
\(806\) | 3.69842e10 | + | 1.00419e10i | 2.48796 | + | 0.675526i | ||||
\(807\) | −2.01808e9 | + | 1.16514e9i | −0.135170 | + | 0.0780406i | ||||
\(808\) | −2.28697e10 | − | 6.37319e9i | −1.52518 | − | 0.425028i | ||||
\(809\) | 1.47536e10 | 0.979667 | 0.489833 | − | 0.871816i | \(-0.337058\pi\) | ||||
0.489833 | + | 0.871816i | \(0.337058\pi\) | |||||||
\(810\) | −6.22459e9 | + | 2.29252e10i | −0.411541 | + | 1.51571i | ||||
\(811\) | −1.18958e10 | − | 2.06042e10i | −0.783107 | − | 1.35638i | −0.930123 | − | 0.367247i | \(-0.880300\pi\) |
0.147016 | − | 0.989134i | \(-0.453033\pi\) | |||||||
\(812\) | 1.34710e9 | − | 7.65846e8i | 0.0882988 | − | 0.0501991i | ||||
\(813\) | −1.60078e9 | + | 9.24210e8i | −0.104475 | + | 0.0603189i | ||||
\(814\) | 2.38154e9 | + | 2.39744e9i | 0.154765 | + | 0.155798i | ||||
\(815\) | 1.38560e10 | + | 7.99978e9i | 0.896575 | + | 0.517638i | ||||
\(816\) | −1.95542e10 | − | 3.49342e10i | −1.25987 | − | 2.25079i | ||||
\(817\) | 3.70509e9 | + | 3.10699e9i | 0.237696 | + | 0.199325i | ||||
\(818\) | 1.16669e10 | + | 3.16778e9i | 0.745282 | + | 0.202357i | ||||
\(819\) | 1.82631e9 | − | 3.16326e9i | 0.116166 | − | 0.201206i | ||||
\(820\) | −1.00865e10 | − | 1.77420e10i | −0.638843 | − | 1.12371i | ||||
\(821\) | 1.22610e10 | + | 2.12367e10i | 0.773259 | + | 1.33932i | 0.935768 | + | 0.352617i | \(0.114708\pi\) |
−0.162509 | + | 0.986707i | \(0.551959\pi\) | |||||||
\(822\) | 1.55192e10 | + | 1.56228e10i | 0.974581 | + | 0.981086i | ||||
\(823\) | −1.67644e10 | + | 9.67896e9i | −1.04831 | + | 0.605242i | −0.922176 | − | 0.386771i | \(-0.873590\pi\) |
−0.126134 | + | 0.992013i | \(0.540257\pi\) | |||||||
\(824\) | 6.23172e9 | − | 6.10857e9i | 0.388028 | − | 0.380359i | ||||
\(825\) | 2.83390e10i | 1.75710i | ||||||||
\(826\) | 6.14991e8 | + | 2.32610e9i | 0.0379698 | + | 0.143614i | ||||
\(827\) | 1.18481e10 | + | 2.05216e10i | 0.728419 | + | 1.26166i | 0.957551 | + | 0.288263i | \(0.0930778\pi\) |
−0.229132 | + | 0.973395i | \(0.573589\pi\) | |||||||
\(828\) | 4.34373e9 | − | 7.40929e9i | 0.265924 | − | 0.453597i | ||||
\(829\) | 4.74192e9i | 0.289077i | 0.989499 | + | 0.144538i | \(0.0461697\pi\) | ||||
−0.989499 | + | 0.144538i | \(0.953830\pi\) | |||||||
\(830\) | 3.21818e9 | + | 1.21722e10i | 0.195360 | + | 0.738918i | ||||
\(831\) | 1.10494e10 | − | 1.91381e10i | 0.667936 | − | 1.15690i | ||||
\(832\) | 1.40697e10 | + | 2.55331e10i | 0.846942 | + | 1.53699i | ||||
\(833\) | 1.52992e10 | − | 2.64990e10i | 0.917089 | − | 1.58844i | ||||
\(834\) | −8.36816e9 | + | 8.31267e9i | −0.499515 | + | 0.496203i | ||||
\(835\) | −2.45218e10 | −1.45764 | ||||||||
\(836\) | 2.02111e10 | + | 3.69612e9i | 1.19638 | + | 0.218788i | ||||
\(837\) | −3.72243e9 | −0.219426 | ||||||||
\(838\) | −1.33990e10 | + | 1.33101e10i | −0.786533 | + | 0.781318i | ||||
\(839\) | 1.03515e10 | − | 1.79294e10i | 0.605115 | − | 1.04809i | −0.386918 | − | 0.922114i | \(-0.626460\pi\) |
0.992033 | − | 0.125976i | \(-0.0402062\pi\) | |||||||
\(840\) | 1.34879e9 | − | 4.84002e9i | 0.0785174 | − | 0.281754i | ||||
\(841\) | −4.59115e9 | + | 7.95211e9i | −0.266156 | + | 0.460995i | ||||
\(842\) | −6.80712e9 | − | 2.57468e10i | −0.392981 | − | 1.48638i | ||||
\(843\) | − | 2.35627e10i | − | 1.35466i | ||||||
\(844\) | −1.46240e10 | − | 8.57337e9i | −0.837272 | − | 0.490855i | ||||
\(845\) | −2.61149e10 | − | 4.52324e10i | −1.48899 | − | 2.57900i | ||||
\(846\) | 7.27427e9 | + | 2.75137e10i | 0.413041 | + | 1.56226i | ||||
\(847\) | 1.25860e9i | 0.0711697i | ||||||||
\(848\) | −9.93415e9 | + | 5.56058e9i | −0.559430 | + | 0.313137i | ||||
\(849\) | −1.27244e10 | + | 7.34643e9i | −0.713609 | + | 0.412002i | ||||
\(850\) | 2.48613e10 | + | 2.50273e10i | 1.38854 | + | 1.39781i | ||||
\(851\) | 9.57417e8 | + | 1.65829e9i | 0.0532534 | + | 0.0922376i | ||||
\(852\) | 1.80301e10 | − | 1.02504e10i | 0.998757 | − | 0.567807i | ||||
\(853\) | 5.74723e9 | − | 9.95450e9i | 0.317057 | − | 0.549158i | −0.662816 | − | 0.748783i | \(-0.730639\pi\) |
0.979873 | + | 0.199624i | \(0.0639721\pi\) | |||||||
\(854\) | −7.09783e8 | − | 1.92719e8i | −0.0389963 | − | 0.0105882i | ||||
\(855\) | 2.29750e10 | + | 4.04379e9i | 1.25711 | + | 0.221262i | ||||
\(856\) | 1.11869e10 | − | 1.09659e10i | 0.609612 | − | 0.597564i | ||||
\(857\) | 2.16959e10 | + | 1.25261e10i | 1.17746 | + | 0.679805i | 0.955425 | − | 0.295234i | \(-0.0953976\pi\) |
0.222032 | + | 0.975039i | \(0.428731\pi\) | |||||||
\(858\) | −3.82732e10 | − | 3.85286e10i | −2.06866 | − | 2.08247i | ||||
\(859\) | −1.42394e10 | + | 8.22112e9i | −0.766506 | + | 0.442542i | −0.831627 | − | 0.555335i | \(-0.812590\pi\) |
0.0651210 | + | 0.997877i | \(0.479257\pi\) | |||||||
\(860\) | −4.09502e9 | − | 7.20302e9i | −0.219539 | − | 0.386163i | ||||
\(861\) | −1.72663e9 | − | 2.99062e9i | −0.0921911 | − | 0.159680i | ||||
\(862\) | 6.34310e9 | − | 2.33617e10i | 0.337308 | − | 1.24230i | ||||
\(863\) | 8.94460e9 | 0.473721 | 0.236861 | − | 0.971544i | \(-0.423882\pi\) | ||||
0.236861 | + | 0.971544i | \(0.423882\pi\) | |||||||
\(864\) | −1.96873e9 | − | 2.03534e9i | −0.103846 | − | 0.107359i | ||||
\(865\) | −1.90570e10 | + | 1.10026e10i | −1.00115 | + | 0.578013i | ||||
\(866\) | 6.25012e9 | + | 1.69702e9i | 0.327021 | + | 0.0887921i | ||||
\(867\) | 6.64446e10 | 3.46253 | ||||||||
\(868\) | 4.20377e9 | + | 2.79675e7i | 0.218182 | + | 0.00145156i | ||||
\(869\) | 3.39650e9 | + | 1.96097e9i | 0.175575 | + | 0.101368i | ||||
\(870\) | −6.68628e9 | − | 2.52897e10i | −0.344245 | − | 1.30205i | ||||
\(871\) | 4.16464e10 | + | 2.40445e10i | 2.13557 | + | 1.23297i | ||||
\(872\) | 7.50198e9 | − | 1.93012e9i | 0.383149 | − | 0.0985773i | ||||
\(873\) | − | 3.17207e9i | − | 0.161359i | ||||||
\(874\) | 1.05367e10 | + | 4.95210e9i | 0.533843 | + | 0.250899i | ||||
\(875\) | 2.12811e8i | 0.0107390i | ||||||||
\(876\) | −2.01481e10 | + | 1.14545e10i | −1.01268 | + | 0.575720i | ||||
\(877\) | 6.08411e9 | + | 3.51266e9i | 0.304578 | + | 0.175848i | 0.644498 | − | 0.764606i | \(-0.277067\pi\) |
−0.339920 | + | 0.940454i | \(0.610400\pi\) | |||||||
\(878\) | −1.53148e9 | + | 4.04903e8i | −0.0763625 | + | 0.0201893i | ||||
\(879\) | −4.97570e9 | − | 2.87272e9i | −0.247111 | − | 0.142670i | ||||
\(880\) | −3.02533e10 | − | 1.80077e10i | −1.49652 | − | 0.890776i | ||||
\(881\) | 2.62889e9 | 0.129526 | 0.0647630 | − | 0.997901i | \(-0.479371\pi\) | ||||
0.0647630 | + | 0.997901i | \(0.479371\pi\) | |||||||
\(882\) | −4.65451e9 | + | 1.71426e10i | −0.228420 | + | 0.841271i | ||||
\(883\) | 3.34429e10 | − | 1.93083e10i | 1.63471 | − | 0.943803i | 0.652103 | − | 0.758130i | \(-0.273887\pi\) |
0.982612 | − | 0.185673i | \(-0.0594464\pi\) | |||||||
\(884\) | −6.76010e10 | − | 4.49747e8i | −3.29132 | − | 0.0218970i | ||||
\(885\) | 4.06164e10 | 1.96970 | ||||||||
\(886\) | −2.82129e10 | − | 7.66029e9i | −1.36279 | − | 0.370022i | ||||
\(887\) | −1.80124e10 | − | 3.11984e10i | −0.866640 | − | 1.50106i | −0.865410 | − | 0.501065i | \(-0.832942\pi\) |
−0.00122967 | − | 0.999999i | \(-0.500391\pi\) | |||||||
\(888\) | −5.01815e9 | + | 1.29108e9i | −0.240491 | + | 0.0618739i | ||||
\(889\) | 3.04102e9 | − | 1.75573e9i | 0.145165 | − | 0.0838112i | ||||
\(890\) | −1.18072e9 | + | 1.17289e9i | −0.0561410 | + | 0.0557687i | ||||
\(891\) | 2.43919e10 | + | 1.40827e10i | 1.15525 | + | 0.666981i | ||||
\(892\) | 1.16451e10 | + | 6.82701e9i | 0.549373 | + | 0.322073i | ||||
\(893\) | −3.62470e10 | + | 1.32055e10i | −1.70331 | + | 0.620548i | ||||
\(894\) | 1.00227e10 | − | 3.69136e10i | 0.469140 | − | 1.72784i | ||||
\(895\) | −2.21242e10 | + | 3.83202e10i | −1.03154 | + | 1.78668i | ||||
\(896\) | 2.20801e9 | + | 2.31331e9i | 0.102547 | + | 0.107437i | ||||
\(897\) | −1.53864e10 | − | 2.66500e10i | −0.711809 | − | 1.23289i | ||||
\(898\) | −1.05565e10 | + | 1.04865e10i | −0.486466 | + | 0.483240i | ||||
\(899\) | 1.89543e10 | − | 1.09433e10i | 0.870058 | − | 0.502328i | ||||
\(900\) | −1.76669e10 | − | 1.03573e10i | −0.807816 | − | 0.473587i | ||||
\(901\) | − | 2.63995e10i | − | 1.20243i | ||||||
\(902\) | −2.33938e10 | + | 6.18502e9i | −1.06140 | + | 0.280620i | ||||
\(903\) | −7.00992e8 | − | 1.21415e9i | −0.0316815 | − | 0.0548740i | ||||
\(904\) | −7.50403e9 | − | 7.65532e9i | −0.337836 | − | 0.344646i | ||||
\(905\) | − | 6.71919e9i | − | 0.301333i | ||||||
\(906\) | −4.03619e10 | + | 1.06712e10i | −1.80311 | + | 0.476720i | ||||
\(907\) | −1.13504e9 | + | 1.96595e9i | −0.0505110 | + | 0.0874875i | −0.890175 | − | 0.455618i | \(-0.849418\pi\) |
0.839664 | + | 0.543106i | \(0.182752\pi\) | |||||||
\(908\) | −7.10886e7 | + | 1.06852e10i | −0.00315137 | + | 0.473679i | ||||
\(909\) | −1.59799e10 | + | 2.76780e10i | −0.705669 | + | 1.22225i | ||||
\(910\) | −5.97931e9 | − | 6.01922e9i | −0.263030 | − | 0.264786i | ||||
\(911\) | −3.67176e10 | −1.60901 | −0.804507 | − | 0.593942i | \(-0.797571\pi\) | ||||
−0.804507 | + | 0.593942i | \(0.797571\pi\) | |||||||
\(912\) | −2.05627e10 | + | 2.38686e10i | −0.897630 | + | 1.04195i | ||||
\(913\) | 1.49279e10 | 0.649158 | ||||||||
\(914\) | 1.38024e10 | + | 1.38945e10i | 0.597920 | + | 0.601911i | ||||
\(915\) | −6.20787e9 | + | 1.07524e10i | −0.267898 | + | 0.464012i | ||||
\(916\) | 1.54973e7 | − | 2.32937e9i | 0.000666225 | − | 0.100139i | ||||
\(917\) | 1.97253e8 | − | 3.41652e8i | 0.00844756 | − | 0.0146316i | ||||
\(918\) | 6.34827e9 | − | 1.67840e9i | 0.270836 | − | 0.0716055i | ||||
\(919\) | 4.26465e10i | 1.81251i | 0.422736 | + | 0.906253i | \(0.361070\pi\) | ||||
−0.422736 | + | 0.906253i | \(0.638930\pi\) | |||||||
\(920\) | −1.39652e10 | − | 1.42467e10i | −0.591274 | − | 0.603194i | ||||
\(921\) | 7.12906e9 | + | 1.23479e10i | 0.300693 | + | 0.520816i | ||||
\(922\) | 2.20970e10 | − | 5.84217e9i | 0.928487 | − | 0.245480i | ||||
\(923\) | − | 3.50219e10i | − | 1.46600i | ||||||
\(924\) | −5.13918e9 | − | 3.01287e9i | −0.214310 | − | 0.125640i | ||||
\(925\) | 3.95409e9 | − | 2.28289e9i | 0.164267 | − | 0.0948396i | ||||
\(926\) | −3.18904e10 | + | 3.16789e10i | −1.31984 | + | 1.31109i | ||||
\(927\) | −5.87361e9 | − | 1.01734e10i | −0.242173 | − | 0.419456i | ||||
\(928\) | 1.60081e10 | + | 4.57603e9i | 0.657540 | + | 0.187962i | ||||
\(929\) | −8.40976e8 | + | 1.45661e9i | −0.0344135 | + | 0.0596059i | −0.882719 | − | 0.469901i | \(-0.844290\pi\) |
0.848306 | + | 0.529507i | \(0.177623\pi\) | |||||||
\(930\) | 1.85952e10 | − | 6.84863e10i | 0.758074 | − | 2.79199i | ||||
\(931\) | −2.37144e10 | − | 4.17393e9i | −0.963137 | − | 0.169520i | ||||
\(932\) | 1.07680e10 | + | 6.31279e9i | 0.435692 | + | 0.255426i | ||||
\(933\) | 3.02380e10 | + | 1.74579e10i | 1.21890 | + | 0.703731i | ||||
\(934\) | −1.14432e10 | + | 1.13673e10i | −0.459550 | + | 0.456503i | ||||
\(935\) | 7.07035e10 | − | 4.08207e10i | 2.82879 | − | 1.63320i | ||||
\(936\) | 3.80073e10 | − | 9.77859e9i | 1.51496 | − | 0.389772i | ||||
\(937\) | 7.97493e9 | + | 1.38130e10i | 0.316693 | + | 0.548528i | 0.979796 | − | 0.200000i | \(-0.0640942\pi\) |
−0.663103 | + | 0.748528i | \(0.730761\pi\) | |||||||
\(938\) | 5.09080e9 | + | 1.38224e9i | 0.201408 | + | 0.0546858i | ||||
\(939\) | −7.34768e9 | −0.289615 | ||||||||
\(940\) | 6.61032e10 | + | 4.39783e8i | 2.59582 | + | 0.0172699i | ||||
\(941\) | 1.02495e10 | − | 5.91753e9i | 0.400993 | − | 0.231514i | −0.285919 | − | 0.958254i | \(-0.592299\pi\) |
0.686913 | + | 0.726740i | \(0.258966\pi\) | |||||||
\(942\) | 8.43747e9 | − | 3.10752e10i | 0.328878 | − | 1.21126i | ||||
\(943\) | −1.37114e10 | −0.532463 | ||||||||
\(944\) | −1.32224e10 | + | 2.22139e10i | −0.511572 | + | 0.859453i | ||||
\(945\) | 7.13691e8 | + | 4.12050e8i | 0.0275105 | + | 0.0158832i | ||||
\(946\) | −9.49760e9 | + | 2.51104e9i | −0.364750 | + | 0.0964351i | ||||
\(947\) | 2.29735e10 | + | 1.32638e10i | 0.879028 | + | 0.507507i | 0.870338 | − | 0.492455i | \(-0.163900\pi\) |
0.00869028 | + | 0.999962i | \(0.497234\pi\) | |||||||
\(948\) | −5.22789e9 | + | 2.97213e9i | −0.199295 | + | 0.113302i | ||||
\(949\) | 3.91360e10i | 1.48643i | ||||||||
\(950\) | 1.18079e10 | − | 2.51240e10i | 0.446829 | − | 0.950728i | ||||
\(951\) | 5.47154e10i | 2.06290i | ||||||||
\(952\) | −7.18175e9 | + | 1.84773e9i | −0.269774 | + | 0.0694080i | ||||
\(953\) | −4.00238e10 | − | 2.31078e10i | −1.49794 | − | 0.864834i | −0.497940 | − | 0.867212i | \(-0.665910\pi\) |
−0.999997 | + | 0.00237709i | \(0.999243\pi\) | |||||||
\(954\) | 3.91730e9 | + | 1.48165e10i | 0.146072 | + | 0.552493i | ||||
\(955\) | 2.75169e10 | + | 1.58869e10i | 1.02232 | + | 0.590239i | ||||
\(956\) | 4.61873e9 | + | 3.07283e7i | 0.170970 | + | 0.00113746i | ||||
\(957\) | −3.10151e10 | −1.14388 | ||||||||
\(958\) | 4.87336e10 | + | 1.32320e10i | 1.79081 | + | 0.486236i | ||||
\(959\) | 3.53246e9 | − | 2.03947e9i | 0.129334 | − | 0.0746710i | ||||
\(960\) | 4.72814e10 | − | 2.60539e10i | 1.72481 | − | 0.950436i | ||||
\(961\) | 3.18633e10 | 1.15813 | ||||||||
\(962\) | −2.29267e9 | + | 8.44391e9i | −0.0830288 | + | 0.305795i | ||||
\(963\) | −1.05441e10 | − | 1.82629e10i | −0.380467 | − | 0.658987i | ||||
\(964\) | 1.53515e10 | + | 2.70028e10i | 0.551925 | + | 0.970821i | ||||
\(965\) | 3.37001e10 | − | 1.94567e10i | 1.20722 | − | 0.696987i | ||||
\(966\) | −2.37897e9 | − | 2.39485e9i | −0.0849118 | − | 0.0854786i | ||||
\(967\) | −3.46609e10 | − | 2.00115e10i | −1.23267 | − | 0.711682i | −0.265084 | − | 0.964225i | \(-0.585400\pi\) |
−0.967586 | + | 0.252543i | \(0.918733\pi\) | |||||||
\(968\) | −9.65706e9 | + | 9.46622e9i | −0.342201 | + | 0.335438i | ||||
\(969\) | −2.50076e10 | − | 6.86420e10i | −0.882957 | − | 2.42358i | ||||
\(970\) | −7.11062e9 | − | 1.93066e9i | −0.250153 | − | 0.0679211i | ||||
\(971\) | 1.00080e10 | − | 1.73343e10i | 0.350816 | − | 0.607630i | −0.635577 | − | 0.772037i | \(-0.719238\pi\) |
0.986393 | + | 0.164407i | \(0.0525711\pi\) | |||||||
\(972\) | −3.38264e10 | + | 1.92308e10i | −1.18147 | + | 0.671683i | ||||
\(973\) | 1.09242e9 | + | 1.89212e9i | 0.0380183 | + | 0.0658497i | ||||
\(974\) | 1.34264e10 | + | 1.35160e10i | 0.465588 | + | 0.468696i | ||||
\(975\) | −6.35452e10 | + | 3.66878e10i | −2.19567 | + | 1.26767i | ||||
\(976\) | −3.85974e9 | − | 6.89555e9i | −0.132887 | − | 0.237408i | ||||
\(977\) | 3.76350e10i | 1.29110i | 0.763716 | + | 0.645552i | \(0.223373\pi\) | ||||
−0.763716 | + | 0.645552i | \(0.776627\pi\) | |||||||
\(978\) | 7.43485e9 | + | 2.81211e10i | 0.254148 | + | 0.961272i | ||||
\(979\) | 9.86613e8 | + | 1.70886e9i | 0.0336053 | + | 0.0582061i | ||||
\(980\) | 3.55945e10 | + | 2.08675e10i | 1.20807 | + | 0.708237i | ||||
\(981\) | − | 1.04279e10i | − | 0.352659i | ||||||
\(982\) | −8.44472e9 | − | 3.19407e10i | −0.284574 | − | 1.07635i | ||||
\(983\) | 4.19919e9 | − | 7.27321e9i | 0.141003 | − | 0.244224i | −0.786872 | − | 0.617117i | \(-0.788301\pi\) |
0.927875 | + | 0.372892i | \(0.121634\pi\) | |||||||
\(984\) | 9.96019e9 | − | 3.57414e10i | 0.333261 | − | 1.19588i | ||||
\(985\) | −2.36537e10 | + | 4.09694e10i | −0.788628 | + | 1.36594i | ||||
\(986\) | −2.73906e10 | + | 2.72090e10i | −0.909980 | + | 0.903946i | ||||
\(987\) | 1.11853e10 | 0.370285 | ||||||||
\(988\) | 1.78775e10 | + | 5.01048e10i | 0.589735 | + | 1.65284i | ||||
\(989\) | −5.56665e9 | −0.182981 | ||||||||
\(990\) | −3.36247e10 | + | 3.34017e10i | −1.10137 | + | 1.09407i | ||||
\(991\) | 1.41616e10 | − | 2.45286e10i | 0.462226 | − | 0.800599i | −0.536845 | − | 0.843681i | \(-0.680384\pi\) |
0.999072 | + | 0.0430815i | \(0.0137175\pi\) | |||||||
\(992\) | 3.14029e10 | + | 3.24653e10i | 1.02136 | + | 1.05591i | ||||
\(993\) | 1.17823e10 | − | 2.04076e10i | 0.381864 | − | 0.661407i | ||||
\(994\) | −9.81961e8 | − | 3.71410e9i | −0.0317133 | − | 0.119950i | ||||
\(995\) | 3.50675e10i | 1.12856i | ||||||||
\(996\) | −1.15764e10 | + | 1.97464e10i | −0.371250 | + | 0.633256i | ||||
\(997\) | −1.61825e10 | − | 2.80289e10i | −0.517145 | − | 0.895721i | −0.999802 | − | 0.0199115i | \(-0.993662\pi\) |
0.482657 | − | 0.875809i | \(-0.339672\pi\) | |||||||
\(998\) | 7.50131e9 | + | 2.83724e10i | 0.238880 | + | 0.903524i | ||||
\(999\) | − | 8.49873e8i | − | 0.0269696i |
(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 | 76.8.f.a.27.17 | yes | 136 | |
4.3 | odd | 2 | inner | 76.8.f.a.27.6 | ✓ | 136 | |
19.12 | odd | 6 | inner | 76.8.f.a.31.6 | yes | 136 | |
76.31 | even | 6 | inner | 76.8.f.a.31.17 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.8.f.a.27.6 | ✓ | 136 | 4.3 | odd | 2 | inner | |
76.8.f.a.27.17 | yes | 136 | 1.1 | even | 1 | trivial | |
76.8.f.a.31.6 | yes | 136 | 19.12 | odd | 6 | inner | |
76.8.f.a.31.17 | yes | 136 | 76.31 | even | 6 | inner |