Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,8,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), 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: | \(11.8706309684\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 17.1 | ||
Character | \(\chi\) | \(=\) | 38.17 |
Dual form | 38.8.e.b.9.1 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38919 | + | 7.87846i | −0.122788 | + | 0.696364i | ||||
\(3\) | −66.5349 | − | 55.8294i | −1.42274 | − | 1.19382i | −0.949854 | − | 0.312694i | \(-0.898769\pi\) |
−0.472884 | − | 0.881125i | \(-0.656787\pi\) | |||||||
\(4\) | −60.1403 | − | 21.8893i | −0.469846 | − | 0.171010i | ||||
\(5\) | −312.664 | + | 113.800i | −1.11862 | + | 0.407144i | −0.834148 | − | 0.551540i | \(-0.814040\pi\) |
−0.284471 | + | 0.958685i | \(0.591818\pi\) | |||||||
\(6\) | 532.279 | − | 446.635i | 1.00603 | − | 0.844157i | ||||
\(7\) | −817.968 | − | 1416.76i | −0.901349 | − | 1.56118i | −0.825744 | − | 0.564045i | \(-0.809245\pi\) |
−0.0756048 | − | 0.997138i | \(-0.524089\pi\) | |||||||
\(8\) | 256.000 | − | 443.405i | 0.176777 | − | 0.306186i | ||||
\(9\) | 930.200 | + | 5275.43i | 0.425332 | + | 2.41217i | ||||
\(10\) | −462.223 | − | 2621.40i | −0.146168 | − | 0.828959i | ||||
\(11\) | −853.993 | + | 1479.16i | −0.193455 | + | 0.335074i | −0.946393 | − | 0.323018i | \(-0.895303\pi\) |
0.752938 | + | 0.658091i | \(0.228636\pi\) | |||||||
\(12\) | 2779.36 | + | 4814.00i | 0.464313 | + | 0.804214i | ||||
\(13\) | 4239.42 | − | 3557.30i | 0.535186 | − | 0.449075i | −0.334701 | − | 0.942324i | \(-0.608635\pi\) |
0.869888 | + | 0.493249i | \(0.164191\pi\) | |||||||
\(14\) | 12298.2 | − | 4476.18i | 1.19783 | − | 0.435973i | ||||
\(15\) | 27156.4 | + | 9884.13i | 2.07756 | + | 0.756170i | ||||
\(16\) | 3137.72 | + | 2632.86i | 0.191511 | + | 0.160697i | ||||
\(17\) | −3808.96 | + | 21601.7i | −0.188033 | + | 1.06639i | 0.733963 | + | 0.679190i | \(0.237669\pi\) |
−0.921996 | + | 0.387200i | \(0.873442\pi\) | |||||||
\(18\) | −42854.5 | −1.73198 | ||||||||
\(19\) | −15633.8 | − | 25484.5i | −0.522908 | − | 0.852389i | ||||
\(20\) | 21294.7 | 0.595205 | ||||||||
\(21\) | −24673.6 | + | 139931.i | −0.581385 | + | 3.29720i | ||||
\(22\) | −10467.1 | − | 8782.98i | −0.209580 | − | 0.175858i | ||||
\(23\) | 6830.22 | + | 2486.00i | 0.117054 | + | 0.0426043i | 0.399883 | − | 0.916566i | \(-0.369051\pi\) |
−0.282829 | + | 0.959170i | \(0.591273\pi\) | |||||||
\(24\) | −41788.0 | + | 15209.6i | −0.617038 | + | 0.224583i | ||||
\(25\) | 24960.9 | − | 20944.6i | 0.319499 | − | 0.268091i | ||||
\(26\) | 22136.7 | + | 38341.9i | 0.247005 | + | 0.427826i | ||||
\(27\) | 137657. | − | 238429.i | 1.34594 | − | 2.33123i | ||||
\(28\) | 18180.9 | + | 103109.i | 0.156518 | + | 0.887656i | ||||
\(29\) | −1067.03 | − | 6051.43i | −0.00812425 | − | 0.0460749i | 0.980476 | − | 0.196638i | \(-0.0630024\pi\) |
−0.988600 | + | 0.150563i | \(0.951891\pi\) | |||||||
\(30\) | −115597. | + | 200220.i | −0.781668 | + | 1.35389i | ||||
\(31\) | −100814. | − | 174615.i | −0.607793 | − | 1.05273i | −0.991603 | − | 0.129317i | \(-0.958722\pi\) |
0.383810 | − | 0.923412i | \(-0.374612\pi\) | |||||||
\(32\) | −25101.7 | + | 21062.9i | −0.135419 | + | 0.113630i | ||||
\(33\) | 139401. | − | 50737.8i | 0.675253 | − | 0.245772i | ||||
\(34\) | −164896. | − | 60017.4i | −0.719507 | − | 0.261879i | ||||
\(35\) | 416977. | + | 349885.i | 1.64389 | + | 1.37939i | ||||
\(36\) | 59532.8 | − | 337627.i | 0.212666 | − | 1.20609i | ||||
\(37\) | 586562. | 1.90374 | 0.951870 | − | 0.306501i | \(-0.0991584\pi\) | ||||
0.951870 | + | 0.306501i | \(0.0991584\pi\) | |||||||
\(38\) | 222497. | − | 87767.3i | 0.657780 | − | 0.259472i | ||||
\(39\) | −480671. | −1.29754 | ||||||||
\(40\) | −29582.3 | + | 167770.i | −0.0730839 | + | 0.414480i | ||||
\(41\) | −297410. | − | 249557.i | −0.673926 | − | 0.565491i | 0.240298 | − | 0.970699i | \(-0.422755\pi\) |
−0.914225 | + | 0.405208i | \(0.867199\pi\) | |||||||
\(42\) | −1.06816e6 | − | 388779.i | −2.22467 | − | 0.809712i | ||||
\(43\) | −107814. | + | 39241.2i | −0.206794 | + | 0.0752667i | −0.443340 | − | 0.896353i | \(-0.646207\pi\) |
0.236547 | + | 0.971620i | \(0.423984\pi\) | |||||||
\(44\) | 83737.2 | − | 70263.8i | 0.148195 | − | 0.124350i | ||||
\(45\) | −891185. | − | 1.54358e6i | −1.45789 | − | 2.52513i | ||||
\(46\) | −29074.3 | + | 50358.1i | −0.0440409 | + | 0.0762811i | ||||
\(47\) | 12928.6 | + | 73321.6i | 0.0181639 | + | 0.103012i | 0.992542 | − | 0.121904i | \(-0.0389001\pi\) |
−0.974378 | + | 0.224917i | \(0.927789\pi\) | |||||||
\(48\) | −61776.8 | − | 350354.i | −0.0806271 | − | 0.457259i | ||||
\(49\) | −926371. | + | 1.60452e6i | −1.12486 | + | 1.94832i | ||||
\(50\) | 130336. | + | 225749.i | 0.147459 | + | 0.255406i | ||||
\(51\) | 1.45944e6 | − | 1.22461e6i | 1.54060 | − | 1.29272i | ||||
\(52\) | −332827. | + | 121139.i | −0.328252 | + | 0.119474i | ||||
\(53\) | 145938. | + | 53117.0i | 0.134649 | + | 0.0490081i | 0.408466 | − | 0.912774i | \(-0.366064\pi\) |
−0.273817 | + | 0.961782i | \(0.588286\pi\) | |||||||
\(54\) | 1.68722e6 | + | 1.41575e6i | 1.45812 | + | 1.22351i | ||||
\(55\) | 98683.9 | − | 559664.i | 0.0799791 | − | 0.453584i | ||||
\(56\) | −837599. | −0.637350 | ||||||||
\(57\) | −382592. | + | 2.56843e6i | −0.273636 | + | 1.83698i | ||||
\(58\) | 49158.2 | 0.0330825 | ||||||||
\(59\) | −440827. | + | 2.50005e6i | −0.279438 | + | 1.58477i | 0.445063 | + | 0.895499i | \(0.353181\pi\) |
−0.724501 | + | 0.689273i | \(0.757930\pi\) | |||||||
\(60\) | −1.41684e6 | − | 1.18887e6i | −0.846821 | − | 0.710567i | ||||
\(61\) | 62665.0 | + | 22808.2i | 0.0353485 | + | 0.0128658i | 0.359634 | − | 0.933093i | \(-0.382902\pi\) |
−0.324285 | + | 0.945959i | \(0.605124\pi\) | |||||||
\(62\) | 1.51575e6 | − | 551688.i | 0.807712 | − | 0.293983i | ||||
\(63\) | 6.71315e6 | − | 5.63300e6i | 3.38247 | − | 2.83823i | ||||
\(64\) | −131072. | − | 227023.i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −920692. | + | 1.59469e6i | −0.415832 | + | 0.720242i | ||||
\(66\) | 206082. | + | 1.16875e6i | 0.0882340 | + | 0.500400i | ||||
\(67\) | 118002. | + | 669225.i | 0.0479324 | + | 0.271838i | 0.999349 | − | 0.0360673i | \(-0.0114831\pi\) |
−0.951417 | + | 0.307905i | \(0.900372\pi\) | |||||||
\(68\) | 701917. | − | 1.21576e6i | 0.270710 | − | 0.468884i | ||||
\(69\) | −315656. | − | 546732.i | −0.115676 | − | 0.200356i | ||||
\(70\) | −3.33581e6 | + | 2.79908e6i | −1.16241 | + | 0.975376i | ||||
\(71\) | −1.84756e6 | + | 672457.i | −0.612625 | + | 0.222977i | −0.629651 | − | 0.776878i | \(-0.716802\pi\) |
0.0170265 | + | 0.999855i | \(0.494580\pi\) | |||||||
\(72\) | 2.57728e6 | + | 938054.i | 0.813763 | + | 0.296186i | ||||
\(73\) | −1.17752e6 | − | 988054.i | −0.354272 | − | 0.297270i | 0.448231 | − | 0.893918i | \(-0.352054\pi\) |
−0.802503 | + | 0.596648i | \(0.796499\pi\) | |||||||
\(74\) | −814843. | + | 4.62121e6i | −0.233756 | + | 1.32570i | ||||
\(75\) | −2.83009e6 | −0.774616 | ||||||||
\(76\) | 382382. | + | 1.87486e6i | 0.0999195 | + | 0.489914i | ||||
\(77\) | 2.79415e6 | 0.697482 | ||||||||
\(78\) | 667742. | − | 3.78695e6i | 0.159323 | − | 0.903563i | ||||
\(79\) | 4.53303e6 | + | 3.80367e6i | 1.03441 | + | 0.867976i | 0.991369 | − | 0.131098i | \(-0.0418501\pi\) |
0.0430436 | + | 0.999073i | \(0.486295\pi\) | |||||||
\(80\) | −1.28067e6 | − | 466126.i | −0.279655 | − | 0.101786i | ||||
\(81\) | −1.14615e7 | + | 4.17165e6i | −2.39632 | + | 0.872188i | ||||
\(82\) | 2.37928e6 | − | 1.99645e6i | 0.476538 | − | 0.399863i | ||||
\(83\) | 1.13583e6 | + | 1.96731e6i | 0.218042 | + | 0.377660i | 0.954209 | − | 0.299140i | \(-0.0966997\pi\) |
−0.736167 | + | 0.676800i | \(0.763366\pi\) | |||||||
\(84\) | 4.54686e6 | − | 7.87539e6i | 0.837016 | − | 1.44975i | ||||
\(85\) | −1.26735e6 | − | 7.18751e6i | −0.223837 | − | 1.26944i | ||||
\(86\) | −159386. | − | 903924.i | −0.0270213 | − | 0.153245i | ||||
\(87\) | −266853. | + | 462202.i | −0.0434464 | + | 0.0752514i | ||||
\(88\) | 437244. | + | 757330.i | 0.0683967 | + | 0.118466i | ||||
\(89\) | −3.20177e6 | + | 2.68661e6i | −0.481422 | + | 0.403961i | −0.850940 | − | 0.525263i | \(-0.823967\pi\) |
0.369519 | + | 0.929223i | \(0.379523\pi\) | |||||||
\(90\) | 1.33990e7 | − | 4.87685e6i | 1.93742 | − | 0.705165i | ||||
\(91\) | −8.50756e6 | − | 3.09650e6i | −1.18348 | − | 0.430751i | ||||
\(92\) | −356355. | − | 299017.i | −0.0477118 | − | 0.0400349i | ||||
\(93\) | −3.04101e6 | + | 1.72464e7i | −0.392037 | + | 2.22335i | ||||
\(94\) | −595622. | −0.0739644 | ||||||||
\(95\) | 7.78824e6 | + | 6.18894e6i | 0.931981 | + | 0.740600i | ||||
\(96\) | 2.84607e6 | 0.328319 | ||||||||
\(97\) | 920575. | − | 5.22084e6i | 0.102414 | − | 0.580817i | −0.889808 | − | 0.456335i | \(-0.849162\pi\) |
0.992222 | − | 0.124482i | \(-0.0397270\pi\) | |||||||
\(98\) | −1.13543e7 | − | 9.52736e6i | −1.21862 | − | 1.02254i | ||||
\(99\) | −8.59758e6 | − | 3.12926e6i | −0.890539 | − | 0.324130i | ||||
\(100\) | −1.95962e6 | + | 713242.i | −0.195962 | + | 0.0713242i | ||||
\(101\) | 1.38249e7 | − | 1.16005e7i | 1.33517 | − | 1.12034i | 0.352337 | − | 0.935873i | \(-0.385387\pi\) |
0.982838 | − | 0.184471i | \(-0.0590572\pi\) | |||||||
\(102\) | 7.62063e6 | + | 1.31993e7i | 0.711034 | + | 1.23155i | ||||
\(103\) | −5.82187e6 | + | 1.00838e7i | −0.524967 | + | 0.909270i | 0.474610 | + | 0.880196i | \(0.342589\pi\) |
−0.999577 | + | 0.0290739i | \(0.990744\pi\) | |||||||
\(104\) | −492032. | − | 2.79045e6i | −0.0428920 | − | 0.243253i | ||||
\(105\) | −8.20963e6 | − | 4.65591e7i | −0.692087 | − | 3.92502i | ||||
\(106\) | −621214. | + | 1.07597e6i | −0.0506607 | + | 0.0877469i | ||||
\(107\) | 7.97290e6 | + | 1.38095e7i | 0.629177 | + | 1.08977i | 0.987717 | + | 0.156253i | \(0.0499415\pi\) |
−0.358540 | + | 0.933515i | \(0.616725\pi\) | |||||||
\(108\) | −1.34978e7 | + | 1.13260e7i | −1.03105 | + | 0.865152i | ||||
\(109\) | −8.16119e6 | + | 2.97043e6i | −0.603616 | + | 0.219698i | −0.625708 | − | 0.780058i | \(-0.715190\pi\) |
0.0220916 | + | 0.999756i | \(0.492967\pi\) | |||||||
\(110\) | 4.27220e6 | + | 1.55495e6i | 0.306039 | + | 0.111389i | ||||
\(111\) | −3.90268e7 | − | 3.27474e7i | −2.70852 | − | 2.27272i | ||||
\(112\) | 1.16358e6 | − | 6.59899e6i | 0.0782588 | − | 0.443828i | ||||
\(113\) | 2.16656e7 | 1.41253 | 0.706263 | − | 0.707950i | \(-0.250380\pi\) | ||||
0.706263 | + | 0.707950i | \(0.250380\pi\) | |||||||
\(114\) | −1.97038e7 | − | 6.58226e6i | −1.24561 | − | 0.416110i | ||||
\(115\) | −2.41847e6 | −0.148285 | ||||||||
\(116\) | −68289.9 | + | 387291.i | −0.00406213 | + | 0.0230375i | ||||
\(117\) | 2.27098e7 | + | 1.90558e7i | 1.31088 | + | 1.09996i | ||||
\(118\) | −1.90842e7 | − | 6.94607e6i | −1.06927 | − | 0.389181i | ||||
\(119\) | 3.37200e7 | − | 1.22731e7i | 1.83431 | − | 0.667635i | ||||
\(120\) | 1.13347e7 | − | 9.51096e6i | 0.598793 | − | 0.502447i | ||||
\(121\) | 8.28498e6 | + | 1.43500e7i | 0.425150 | + | 0.736382i | ||||
\(122\) | −266747. | + | 462019.i | −0.0132996 | + | 0.0230356i | ||||
\(123\) | 5.85555e6 | + | 3.32085e7i | 0.283726 | + | 1.60909i | ||||
\(124\) | 2.24079e6 | + | 1.27082e7i | 0.105542 | + | 0.598559i | ||||
\(125\) | 7.57641e6 | − | 1.31227e7i | 0.346959 | − | 0.600951i | ||||
\(126\) | 3.50536e7 | + | 6.07146e7i | 1.56112 | + | 2.70393i | ||||
\(127\) | 1.39205e7 | − | 1.16807e7i | 0.603035 | − | 0.506006i | −0.289385 | − | 0.957213i | \(-0.593451\pi\) |
0.892420 | + | 0.451206i | \(0.149006\pi\) | |||||||
\(128\) | 1.97068e6 | − | 717268.i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 9.36422e6 | + | 3.40830e6i | 0.384068 | + | 0.139789i | ||||
\(130\) | −1.12847e7 | − | 9.46895e6i | −0.450492 | − | 0.378007i | ||||
\(131\) | 4.89259e6 | − | 2.77473e7i | 0.190147 | − | 1.07838i | −0.729015 | − | 0.684497i | \(-0.760022\pi\) |
0.919162 | − | 0.393879i | \(-0.128867\pi\) | |||||||
\(132\) | −9.49423e6 | −0.359295 | ||||||||
\(133\) | −2.33175e7 | + | 4.29948e7i | −0.859412 | + | 1.58466i | ||||
\(134\) | −5.43639e6 | −0.195184 | ||||||||
\(135\) | −1.59071e7 | + | 9.02135e7i | −0.556445 | + | 3.15575i | ||||
\(136\) | 8.60319e6 | + | 7.21893e6i | 0.293274 | + | 0.246086i | ||||
\(137\) | −3.56316e7 | − | 1.29689e7i | −1.18390 | − | 0.430903i | −0.326320 | − | 0.945259i | \(-0.605809\pi\) |
−0.857577 | + | 0.514356i | \(0.828031\pi\) | |||||||
\(138\) | 4.74592e6 | − | 1.72737e6i | 0.153725 | − | 0.0559512i | ||||
\(139\) | 4.50413e6 | − | 3.77942e6i | 0.142252 | − | 0.119364i | −0.568885 | − | 0.822417i | \(-0.692625\pi\) |
0.711137 | + | 0.703053i | \(0.248181\pi\) | |||||||
\(140\) | −1.74184e7 | − | 3.01695e7i | −0.536488 | − | 0.929224i | ||||
\(141\) | 3.23330e6 | − | 5.60024e6i | 0.0971357 | − | 0.168244i | ||||
\(142\) | −2.73132e6 | − | 1.54901e7i | −0.0800505 | − | 0.453989i | ||||
\(143\) | 1.64137e6 | + | 9.30869e6i | 0.0469387 | + | 0.266203i | ||||
\(144\) | −1.09707e7 | + | 1.90019e7i | −0.306173 | + | 0.530308i | ||||
\(145\) | 1.02228e6 | + | 1.77063e6i | 0.0278471 | + | 0.0482326i | ||||
\(146\) | 9.42013e6 | − | 7.90443e6i | 0.250508 | − | 0.210201i | ||||
\(147\) | 1.51215e8 | − | 5.50379e7i | 3.92632 | − | 1.42906i | ||||
\(148\) | −3.52760e7 | − | 1.28394e7i | −0.894465 | − | 0.325559i | ||||
\(149\) | −3.57407e7 | − | 2.99900e7i | −0.885139 | − | 0.742720i | 0.0820901 | − | 0.996625i | \(-0.473840\pi\) |
−0.967229 | + | 0.253905i | \(0.918285\pi\) | |||||||
\(150\) | 3.93152e6 | − | 2.22968e7i | 0.0951134 | − | 0.539415i | ||||
\(151\) | −3.32443e7 | −0.785773 | −0.392887 | − | 0.919587i | \(-0.628524\pi\) | ||||
−0.392887 | + | 0.919587i | \(0.628524\pi\) | |||||||
\(152\) | −1.53022e7 | + | 408062.i | −0.353428 | + | 0.00942483i | ||||
\(153\) | −1.17501e8 | −2.65229 | ||||||||
\(154\) | −3.88160e6 | + | 2.20136e7i | −0.0856423 | + | 0.485701i | ||||
\(155\) | 5.13922e7 | + | 4.31232e7i | 1.10850 | + | 0.930144i | ||||
\(156\) | 2.89077e7 | + | 1.05216e7i | 0.609646 | + | 0.221893i | ||||
\(157\) | 2.56005e7 | − | 9.31783e6i | 0.527959 | − | 0.192161i | −0.0642679 | − | 0.997933i | \(-0.520471\pi\) |
0.592227 | + | 0.805771i | \(0.298249\pi\) | |||||||
\(158\) | −3.62643e7 | + | 3.04293e7i | −0.731441 | + | 0.613751i | ||||
\(159\) | −6.74445e6 | − | 1.16817e7i | −0.133063 | − | 0.230472i | ||||
\(160\) | 5.45144e6 | − | 9.44218e6i | 0.105218 | − | 0.182244i | ||||
\(161\) | −2.06483e6 | − | 1.17103e7i | −0.0389937 | − | 0.221144i | ||||
\(162\) | −1.69440e7 | − | 9.60943e7i | −0.313122 | − | 1.77580i | ||||
\(163\) | −1.78444e6 | + | 3.09075e6i | −0.0322735 | + | 0.0558994i | −0.881711 | − | 0.471790i | \(-0.843608\pi\) |
0.849438 | + | 0.527689i | \(0.176941\pi\) | |||||||
\(164\) | 1.24237e7 | + | 2.15185e7i | 0.219937 | + | 0.380942i | ||||
\(165\) | −3.78116e7 | + | 3.17277e7i | −0.655287 | + | 0.549851i | ||||
\(166\) | −1.70773e7 | + | 6.21563e6i | −0.289762 | + | 0.105465i | ||||
\(167\) | −1.13329e7 | − | 4.12485e6i | −0.188293 | − | 0.0685331i | 0.246153 | − | 0.969231i | \(-0.420834\pi\) |
−0.434446 | + | 0.900698i | \(0.643056\pi\) | |||||||
\(168\) | 5.57295e7 | + | 4.67626e7i | 0.906782 | + | 0.760881i | ||||
\(169\) | −5.57783e6 | + | 3.16334e7i | −0.0888918 | + | 0.504130i | ||||
\(170\) | 5.83871e7 | 0.911478 | ||||||||
\(171\) | 1.19899e8 | − | 1.06180e8i | 1.83370 | − | 1.62389i | ||||
\(172\) | 7.34295e6 | 0.110033 | ||||||||
\(173\) | 89765.3 | − | 509085.i | 0.00131810 | − | 0.00747530i | −0.984142 | − | 0.177385i | \(-0.943236\pi\) |
0.985460 | + | 0.169909i | \(0.0543475\pi\) | |||||||
\(174\) | −3.27074e6 | − | 2.74447e6i | −0.0470677 | − | 0.0394945i | ||||
\(175\) | −5.00907e7 | − | 1.82315e7i | −0.706520 | − | 0.257152i | ||||
\(176\) | −6.57401e6 | + | 2.39274e6i | −0.0908941 | + | 0.0330827i | ||||
\(177\) | 1.68907e8 | − | 1.41730e8i | 2.28950 | − | 1.92112i | ||||
\(178\) | −1.67185e7 | − | 2.89572e7i | −0.222191 | − | 0.384846i | ||||
\(179\) | 3.98396e7 | − | 6.90042e7i | 0.519193 | − | 0.899269i | −0.480558 | − | 0.876963i | \(-0.659566\pi\) |
0.999751 | − | 0.0223060i | \(-0.00710082\pi\) | |||||||
\(180\) | 1.98083e7 | + | 1.12339e8i | 0.253159 | + | 1.43574i | ||||
\(181\) | 1.80084e7 | + | 1.02131e8i | 0.225736 | + | 1.28021i | 0.861273 | + | 0.508143i | \(0.169668\pi\) |
−0.635536 | + | 0.772071i | \(0.719221\pi\) | |||||||
\(182\) | 3.62142e7 | − | 6.27249e7i | 0.445276 | − | 0.771240i | ||||
\(183\) | −2.89604e6 | − | 5.01609e6i | −0.0349322 | − | 0.0605043i | ||||
\(184\) | 2.85084e6 | − | 2.39214e6i | 0.0337373 | − | 0.0283090i | ||||
\(185\) | −1.83397e8 | + | 6.67509e7i | −2.12956 | + | 0.775097i | ||||
\(186\) | −1.31651e8 | − | 4.79169e7i | −1.50013 | − | 0.546001i | ||||
\(187\) | −2.86995e7 | − | 2.40817e7i | −0.320943 | − | 0.269303i | ||||
\(188\) | 827429. | − | 4.69258e6i | 0.00908193 | − | 0.0515062i | ||||
\(189\) | −4.50396e8 | −4.85264 | ||||||||
\(190\) | −5.95786e7 | + | 5.27618e7i | −0.630163 | + | 0.558061i | ||||
\(191\) | −4.90823e7 | −0.509692 | −0.254846 | − | 0.966982i | \(-0.582025\pi\) | ||||
−0.254846 | + | 0.966982i | \(0.582025\pi\) | |||||||
\(192\) | −3.95372e6 | + | 2.24226e7i | −0.0403136 | + | 0.228630i | ||||
\(193\) | −9.37713e7 | − | 7.86835e7i | −0.938900 | − | 0.787831i | 0.0384934 | − | 0.999259i | \(-0.487744\pi\) |
−0.977394 | + | 0.211428i | \(0.932189\pi\) | |||||||
\(194\) | 3.98534e7 | + | 1.45054e7i | 0.391885 | + | 0.142635i | ||||
\(195\) | 1.50288e8 | − | 5.47005e7i | 1.45146 | − | 0.528288i | ||||
\(196\) | 9.08341e7 | − | 7.62188e7i | 0.861693 | − | 0.723046i | ||||
\(197\) | 5.06657e7 | + | 8.77556e7i | 0.472152 | + | 0.817792i | 0.999492 | − | 0.0318624i | \(-0.0101438\pi\) |
−0.527340 | + | 0.849654i | \(0.676811\pi\) | |||||||
\(198\) | 3.65974e7 | − | 6.33886e7i | 0.335060 | − | 0.580340i | ||||
\(199\) | 2.16063e7 | + | 1.22536e8i | 0.194355 | + | 1.10224i | 0.913334 | + | 0.407210i | \(0.133498\pi\) |
−0.718979 | + | 0.695031i | \(0.755390\pi\) | |||||||
\(200\) | −2.89698e6 | − | 1.64296e7i | −0.0256059 | − | 0.145218i | ||||
\(201\) | 2.95112e7 | − | 5.11148e7i | 0.256330 | − | 0.443977i | ||||
\(202\) | 7.21886e7 | + | 1.25034e8i | 0.616225 | + | 1.06733i | ||||
\(203\) | −7.70063e6 | + | 6.46160e6i | −0.0646086 | + | 0.0542130i | ||||
\(204\) | −1.14577e8 | + | 4.17025e7i | −0.944912 | + | 0.343920i | ||||
\(205\) | 1.21389e8 | + | 4.41820e7i | 0.984104 | + | 0.358184i | ||||
\(206\) | −7.13570e7 | − | 5.98756e7i | −0.568724 | − | 0.477216i | ||||
\(207\) | −6.76122e6 | + | 3.83448e7i | −0.0529821 | + | 0.300476i | ||||
\(208\) | 2.26680e7 | 0.174659 | ||||||||
\(209\) | 5.10467e7 | − | 1.36126e6i | 0.386772 | − | 0.0103140i | ||||
\(210\) | 3.78219e8 | 2.81822 | ||||||||
\(211\) | −49867.5 | + | 282813.i | −0.000365451 | + | 0.00207258i | −0.984990 | − | 0.172612i | \(-0.944779\pi\) |
0.984624 | + | 0.174684i | \(0.0558905\pi\) | |||||||
\(212\) | −7.61404e6 | − | 6.38894e6i | −0.0548833 | − | 0.0460525i | ||||
\(213\) | 1.60470e8 | + | 5.84064e7i | 1.13780 | + | 0.414125i | ||||
\(214\) | −1.19873e8 | + | 4.36303e7i | −0.836130 | + | 0.304327i | ||||
\(215\) | 2.92440e7 | − | 2.45386e7i | 0.200679 | − | 0.168390i | ||||
\(216\) | −7.04804e7 | − | 1.22076e8i | −0.475861 | − | 0.824216i | ||||
\(217\) | −1.64926e8 | + | 2.85659e8i | −1.09567 | + | 1.89775i | ||||
\(218\) | −1.20650e7 | − | 6.84241e7i | −0.0788733 | − | 0.447313i | ||||
\(219\) | 2.31835e7 | + | 1.31480e8i | 0.149150 | + | 0.845873i | ||||
\(220\) | −1.81855e7 | + | 3.14983e7i | −0.115145 | + | 0.199438i | ||||
\(221\) | 6.06958e7 | + | 1.05128e8i | 0.378256 | + | 0.655158i | ||||
\(222\) | 3.12214e8 | − | 2.61979e8i | 1.91522 | − | 1.60706i | ||||
\(223\) | −2.35940e8 | + | 8.58750e7i | −1.42473 | + | 0.518561i | −0.935417 | − | 0.353545i | \(-0.884976\pi\) |
−0.489317 | + | 0.872106i | \(0.662754\pi\) | |||||||
\(224\) | 5.03735e7 | + | 1.83344e7i | 0.299457 | + | 0.108993i | ||||
\(225\) | 1.33711e8 | + | 1.12196e8i | 0.782576 | + | 0.656660i | ||||
\(226\) | −3.00976e7 | + | 1.70692e8i | −0.173441 | + | 0.983632i | ||||
\(227\) | 1.59943e8 | 0.907560 | 0.453780 | − | 0.891114i | \(-0.350075\pi\) | ||||
0.453780 | + | 0.891114i | \(0.350075\pi\) | |||||||
\(228\) | 7.92303e7 | − | 1.46091e8i | 0.442710 | − | 0.816305i | ||||
\(229\) | 2.13662e8 | 1.17572 | 0.587859 | − | 0.808963i | \(-0.299971\pi\) | ||||
0.587859 | + | 0.808963i | \(0.299971\pi\) | |||||||
\(230\) | 3.35970e6 | − | 1.90538e7i | 0.0182076 | − | 0.103261i | ||||
\(231\) | −1.85909e8 | − | 1.55996e8i | −0.992334 | − | 0.832667i | ||||
\(232\) | −2.95639e6 | − | 1.07604e6i | −0.0155437 | − | 0.00565744i | ||||
\(233\) | 2.75600e7 | − | 1.00310e7i | 0.142736 | − | 0.0519516i | −0.269664 | − | 0.962954i | \(-0.586913\pi\) |
0.412400 | + | 0.911003i | \(0.364691\pi\) | |||||||
\(234\) | −1.81678e8 | + | 1.52446e8i | −0.926931 | + | 0.777787i | ||||
\(235\) | −1.23863e7 | − | 2.14537e7i | −0.0622593 | − | 0.107836i | ||||
\(236\) | 8.12358e7 | − | 1.40705e8i | 0.402305 | − | 0.696813i | ||||
\(237\) | −8.92484e7 | − | 5.06153e8i | −0.435493 | − | 2.46980i | ||||
\(238\) | 4.98496e7 | + | 2.82711e8i | 0.239686 | + | 1.35933i | ||||
\(239\) | −8.84175e7 | + | 1.53144e8i | −0.418934 | + | 0.725615i | −0.995833 | − | 0.0912008i | \(-0.970929\pi\) |
0.576898 | + | 0.816816i | \(0.304263\pi\) | |||||||
\(240\) | 5.91857e7 | + | 1.02513e8i | 0.276362 | + | 0.478672i | ||||
\(241\) | −1.83343e8 | + | 1.53843e8i | −0.843732 | + | 0.707975i | −0.958400 | − | 0.285429i | \(-0.907864\pi\) |
0.114668 | + | 0.993404i | \(0.463420\pi\) | |||||||
\(242\) | −1.24565e8 | + | 4.53381e7i | −0.564993 | + | 0.205641i | ||||
\(243\) | 4.29691e8 | + | 1.56395e8i | 1.92103 | + | 0.699198i | ||||
\(244\) | −3.26944e6 | − | 2.74338e6i | −0.0144082 | − | 0.0120899i | ||||
\(245\) | 1.07048e8 | − | 6.07097e8i | 0.465046 | − | 2.63740i | ||||
\(246\) | −2.69766e8 | −1.15535 | ||||||||
\(247\) | −1.56934e8 | − | 5.24255e7i | −0.662640 | − | 0.221362i | ||||
\(248\) | −1.03234e8 | −0.429775 | ||||||||
\(249\) | 3.42617e7 | − | 1.94308e8i | 0.140641 | − | 0.797613i | ||||
\(250\) | 9.28619e7 | + | 7.79203e7i | 0.375878 | + | 0.315399i | ||||
\(251\) | 4.45892e7 | + | 1.62292e7i | 0.177980 | + | 0.0647796i | 0.429473 | − | 0.903080i | \(-0.358699\pi\) |
−0.251493 | + | 0.967859i | \(0.580921\pi\) | |||||||
\(252\) | −5.27033e8 | + | 1.91824e8i | −2.07461 | + | 0.755096i | ||||
\(253\) | −9.51014e6 | + | 7.97996e6i | −0.0369203 | + | 0.0309798i | ||||
\(254\) | 7.26878e7 | + | 1.25899e8i | 0.278319 | + | 0.482063i | ||||
\(255\) | −3.16951e8 | + | 5.48976e8i | −1.19702 | + | 2.07330i | ||||
\(256\) | 2.91333e6 | + | 1.65223e7i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −1.25288e7 | − | 7.10542e7i | −0.0460407 | − | 0.261110i | 0.953095 | − | 0.302671i | \(-0.0978782\pi\) |
−0.999136 | + | 0.0415605i | \(0.986767\pi\) | |||||||
\(258\) | −3.98608e7 | + | 6.90409e7i | −0.144503 | + | 0.250287i | ||||
\(259\) | −4.79789e8 | − | 8.31018e8i | −1.71593 | − | 2.97209i | ||||
\(260\) | 9.02773e7 | − | 7.57516e7i | 0.318546 | − | 0.267292i | ||||
\(261\) | 3.09313e7 | − | 1.12581e7i | 0.107685 | − | 0.0391942i | ||||
\(262\) | 2.11809e8 | + | 7.70922e7i | 0.727595 | + | 0.264823i | ||||
\(263\) | 1.52222e8 | + | 1.27730e8i | 0.515981 | + | 0.432959i | 0.863228 | − | 0.504814i | \(-0.168439\pi\) |
−0.347247 | + | 0.937774i | \(0.612883\pi\) | |||||||
\(264\) | 1.31892e7 | − | 7.47999e7i | 0.0441170 | − | 0.250200i | ||||
\(265\) | −5.16741e7 | −0.170574 | ||||||||
\(266\) | −3.06340e8 | − | 2.43434e8i | −0.997972 | − | 0.793040i | ||||
\(267\) | 3.63021e8 | 1.16719 | ||||||||
\(268\) | 7.55216e6 | − | 4.28304e7i | 0.0239662 | − | 0.135919i | ||||
\(269\) | 9.89175e7 | + | 8.30016e7i | 0.309842 | + | 0.259988i | 0.784427 | − | 0.620222i | \(-0.212957\pi\) |
−0.474585 | + | 0.880210i | \(0.657402\pi\) | |||||||
\(270\) | −6.88646e8 | − | 2.50646e8i | −2.12923 | − | 0.774976i | ||||
\(271\) | −1.67314e8 | + | 6.08972e7i | −0.510669 | + | 0.185868i | −0.584486 | − | 0.811404i | \(-0.698704\pi\) |
0.0738177 | + | 0.997272i | \(0.476482\pi\) | |||||||
\(272\) | −6.88255e7 | + | 5.77515e7i | −0.207376 | + | 0.174009i | ||||
\(273\) | 3.93174e8 | + | 6.80997e8i | 1.16954 | + | 2.02570i | ||||
\(274\) | 1.51674e8 | − | 2.62706e8i | 0.445434 | − | 0.771514i | ||||
\(275\) | 9.66407e6 | + | 5.48077e7i | 0.0280218 | + | 0.158919i | ||||
\(276\) | 7.01608e6 | + | 3.97902e7i | 0.0200869 | + | 0.113918i | ||||
\(277\) | 1.17841e8 | − | 2.04107e8i | 0.333133 | − | 0.577004i | −0.649991 | − | 0.759942i | \(-0.725227\pi\) |
0.983124 | + | 0.182938i | \(0.0585608\pi\) | |||||||
\(278\) | 2.35189e7 | + | 4.07360e7i | 0.0656539 | + | 0.113716i | ||||
\(279\) | 8.27393e8 | − | 6.94265e8i | 2.28085 | − | 1.91386i | ||||
\(280\) | 2.61887e8 | − | 9.53190e7i | 0.712952 | − | 0.259493i | ||||
\(281\) | 2.06746e8 | + | 7.52493e7i | 0.555859 | + | 0.202316i | 0.604648 | − | 0.796493i | \(-0.293314\pi\) |
−0.0487890 | + | 0.998809i | \(0.515536\pi\) | |||||||
\(282\) | 3.96296e7 | + | 3.32532e7i | 0.105232 | + | 0.0883001i | ||||
\(283\) | 6.23512e7 | − | 3.53611e8i | 0.163528 | − | 0.927414i | −0.787041 | − | 0.616901i | \(-0.788388\pi\) |
0.950569 | − | 0.310513i | \(-0.100501\pi\) | |||||||
\(284\) | 1.25833e8 | 0.325971 | ||||||||
\(285\) | −1.72665e8 | − | 8.46593e8i | −0.441822 | − | 2.16630i | ||||
\(286\) | −7.56183e7 | −0.191138 | ||||||||
\(287\) | −1.10291e8 | + | 6.25489e8i | −0.275392 | + | 1.56183i | ||||
\(288\) | −1.34465e8 | − | 1.12830e8i | −0.331693 | − | 0.278323i | ||||
\(289\) | −6.65312e7 | − | 2.42154e7i | −0.162137 | − | 0.0590132i | ||||
\(290\) | −1.53700e7 | + | 5.59422e6i | −0.0370067 | + | 0.0134693i | ||||
\(291\) | −3.52727e8 | + | 2.95973e8i | −0.839098 | + | 0.704087i | ||||
\(292\) | 4.91884e7 | + | 8.51969e7i | 0.115617 | + | 0.200255i | ||||
\(293\) | −3.21258e8 | + | 5.56435e8i | −0.746135 | + | 1.29234i | 0.203528 | + | 0.979069i | \(0.434759\pi\) |
−0.949663 | + | 0.313274i | \(0.898574\pi\) | |||||||
\(294\) | 2.23548e8 | + | 1.26780e9i | 0.513044 | + | 2.90962i | ||||
\(295\) | −1.46676e8 | − | 8.31842e8i | −0.332646 | − | 1.88653i | ||||
\(296\) | 1.50160e8 | − | 2.60084e8i | 0.336537 | − | 0.582899i | ||||
\(297\) | 2.35116e8 | + | 4.07233e8i | 0.520757 | + | 0.901977i | ||||
\(298\) | 2.85926e8 | − | 2.39920e8i | 0.625888 | − | 0.525182i | ||||
\(299\) | 3.77996e7 | − | 1.37579e7i | 0.0817784 | − | 0.0297649i | ||||
\(300\) | 1.70203e8 | + | 6.19487e7i | 0.363950 | + | 0.132467i | ||||
\(301\) | 1.43784e8 | + | 1.20649e8i | 0.303898 | + | 0.255001i | ||||
\(302\) | 4.61824e7 | − | 2.61914e8i | 0.0964834 | − | 0.547185i | ||||
\(303\) | −1.56749e9 | −3.23709 | ||||||||
\(304\) | 1.80427e7 | − | 1.21124e8i | 0.0368335 | − | 0.247272i | ||||
\(305\) | −2.21886e7 | −0.0447797 | ||||||||
\(306\) | 1.63231e8 | − | 9.25728e8i | 0.325669 | − | 1.84696i | ||||
\(307\) | 6.50891e8 | + | 5.46163e8i | 1.28388 | + | 1.07730i | 0.992697 | + | 0.120635i | \(0.0384931\pi\) |
0.291182 | + | 0.956668i | \(0.405951\pi\) | |||||||
\(308\) | −1.68041e8 | − | 6.11621e7i | −0.327709 | − | 0.119276i | ||||
\(309\) | 9.50328e8 | − | 3.45891e8i | 1.83239 | − | 0.666937i | ||||
\(310\) | −4.11138e8 | + | 3.44986e8i | −0.783829 | + | 0.657711i | ||||
\(311\) | −2.19119e7 | − | 3.79525e7i | −0.0413065 | − | 0.0715449i | 0.844633 | − | 0.535346i | \(-0.179819\pi\) |
−0.885940 | + | 0.463801i | \(0.846485\pi\) | |||||||
\(312\) | −1.23052e8 | + | 2.13132e8i | −0.229376 | + | 0.397290i | ||||
\(313\) | −1.30994e8 | − | 7.42901e8i | −0.241460 | − | 1.36939i | −0.828573 | − | 0.559881i | \(-0.810847\pi\) |
0.587113 | − | 0.809505i | \(-0.300264\pi\) | |||||||
\(314\) | 3.78463e7 | + | 2.14637e8i | 0.0689874 | + | 0.391247i | ||||
\(315\) | −1.45792e9 | + | 2.52519e9i | −2.62813 | + | 4.55206i | ||||
\(316\) | −1.89359e8 | − | 3.27979e8i | −0.337583 | − | 0.584710i | ||||
\(317\) | −2.87865e8 | + | 2.41547e8i | −0.507553 | + | 0.425887i | −0.860267 | − | 0.509844i | \(-0.829703\pi\) |
0.352714 | + | 0.935731i | \(0.385259\pi\) | |||||||
\(318\) | 1.01403e8 | − | 3.69078e7i | 0.176831 | − | 0.0643611i | ||||
\(319\) | 9.86226e6 | + | 3.58957e6i | 0.0170102 | + | 0.00619120i | ||||
\(320\) | 6.68168e7 | + | 5.60659e7i | 0.113988 | + | 0.0956476i | ||||
\(321\) | 2.40498e8 | − | 1.36393e9i | 0.405830 | − | 2.30158i | ||||
\(322\) | 9.51273e7 | 0.158785 | ||||||||
\(323\) | 6.10055e8 | − | 2.40646e8i | 1.00730 | − | 0.397347i | ||||
\(324\) | 7.80614e8 | 1.27505 | ||||||||
\(325\) | 3.13133e7 | − | 1.77586e8i | 0.0505984 | − | 0.286958i | ||||
\(326\) | −2.18714e7 | − | 1.83523e7i | −0.0349635 | − | 0.0293379i | ||||
\(327\) | 7.08841e8 | + | 2.57997e8i | 1.12107 | + | 0.408035i | ||||
\(328\) | −1.86792e8 | + | 6.79866e7i | −0.292280 | + | 0.106381i | ||||
\(329\) | 9.33041e7 | − | 7.82914e7i | 0.144449 | − | 0.121207i | ||||
\(330\) | −1.97438e8 | − | 3.41973e8i | −0.302435 | − | 0.523833i | ||||
\(331\) | 8.32346e7 | − | 1.44167e8i | 0.126155 | − | 0.218508i | −0.796029 | − | 0.605259i | \(-0.793070\pi\) |
0.922184 | + | 0.386751i | \(0.126403\pi\) | |||||||
\(332\) | −2.52461e7 | − | 1.43177e8i | −0.0378626 | − | 0.214729i | ||||
\(333\) | 5.45620e8 | + | 3.09436e9i | 0.809721 | + | 4.59216i | ||||
\(334\) | 4.82410e7 | − | 8.35558e7i | 0.0708441 | − | 0.122706i | ||||
\(335\) | −1.13053e8 | − | 1.95814e8i | −0.164295 | − | 0.284568i | ||||
\(336\) | −4.45836e8 | + | 3.74101e8i | −0.641192 | + | 0.538024i | ||||
\(337\) | 1.42558e8 | − | 5.18870e7i | 0.202903 | − | 0.0738506i | −0.238570 | − | 0.971125i | \(-0.576679\pi\) |
0.441472 | + | 0.897275i | \(0.354456\pi\) | |||||||
\(338\) | −2.41474e8 | − | 8.78894e7i | −0.340144 | − | 0.123802i | ||||
\(339\) | −1.44152e9 | − | 1.20958e9i | −2.00965 | − | 1.68630i | ||||
\(340\) | −8.11106e7 | + | 4.60001e8i | −0.111918 | + | 0.634720i | ||||
\(341\) | 3.44379e8 | 0.470322 | ||||||||
\(342\) | 6.69976e8 | + | 1.09212e9i | 0.905666 | + | 1.47632i | ||||
\(343\) | 1.68370e9 | 2.25287 | ||||||||
\(344\) | −1.02007e7 | + | 5.78512e7i | −0.0135107 | + | 0.0766227i | ||||
\(345\) | 1.60913e8 | + | 1.35022e8i | 0.210971 | + | 0.177026i | ||||
\(346\) | 3.88610e6 | + | 1.41443e6i | 0.00504368 | + | 0.00183575i | ||||
\(347\) | −8.85403e8 | + | 3.22260e8i | −1.13760 | + | 0.414051i | −0.841044 | − | 0.540966i | \(-0.818059\pi\) |
−0.296551 | + | 0.955017i | \(0.595836\pi\) | |||||||
\(348\) | 2.61659e7 | − | 2.19558e7i | 0.0332819 | − | 0.0279268i | ||||
\(349\) | 4.32834e8 | + | 7.49691e8i | 0.545045 | + | 0.944046i | 0.998604 | + | 0.0528196i | \(0.0168208\pi\) |
−0.453559 | + | 0.891226i | \(0.649846\pi\) | |||||||
\(350\) | 2.13222e8 | − | 3.69311e8i | 0.265824 | − | 0.460420i | ||||
\(351\) | −2.64577e8 | − | 1.50049e9i | −0.326570 | − | 1.85207i | ||||
\(352\) | −9.71862e6 | − | 5.51170e7i | −0.0118770 | − | 0.0673576i | ||||
\(353\) | 1.35250e8 | − | 2.34260e8i | 0.163654 | − | 0.283457i | −0.772523 | − | 0.634987i | \(-0.781005\pi\) |
0.936176 | + | 0.351531i | \(0.114339\pi\) | |||||||
\(354\) | 8.81968e8 | + | 1.52761e9i | 1.05667 | + | 1.83021i | ||||
\(355\) | 5.01140e8 | − | 4.20506e8i | 0.594510 | − | 0.498853i | ||||
\(356\) | 2.51364e8 | − | 9.14889e7i | 0.295276 | − | 0.107472i | ||||
\(357\) | −2.92875e9 | − | 1.06598e9i | −3.40678 | − | 1.23997i | ||||
\(358\) | 4.88302e8 | + | 4.09734e8i | 0.562468 | + | 0.471967i | ||||
\(359\) | −1.70103e8 | + | 9.64703e8i | −0.194036 | + | 1.10043i | 0.719749 | + | 0.694234i | \(0.244257\pi\) |
−0.913785 | + | 0.406198i | \(0.866854\pi\) | |||||||
\(360\) | −9.12573e8 | −1.03088 | ||||||||
\(361\) | −4.05043e8 | + | 7.96835e8i | −0.453134 | + | 0.891443i | ||||
\(362\) | −8.29652e8 | −0.919213 | ||||||||
\(363\) | 2.49912e8 | − | 1.41732e9i | 0.274229 | − | 1.55523i | ||||
\(364\) | 4.43867e8 | + | 3.72449e8i | 0.482390 | + | 0.404773i | ||||
\(365\) | 4.80607e8 | + | 1.74927e8i | 0.517327 | + | 0.188292i | ||||
\(366\) | 4.35422e7 | − | 1.58481e7i | 0.0464223 | − | 0.0168963i | ||||
\(367\) | 7.20050e8 | − | 6.04194e8i | 0.760381 | − | 0.638036i | −0.177845 | − | 0.984059i | \(-0.556912\pi\) |
0.938226 | + | 0.346023i | \(0.112468\pi\) | |||||||
\(368\) | 1.48860e7 | + | 2.57834e7i | 0.0155708 | + | 0.0269695i | ||||
\(369\) | 1.03987e9 | − | 1.80110e9i | 1.07742 | − | 1.86615i | ||||
\(370\) | −2.71123e8 | − | 1.53761e9i | −0.278266 | − | 1.57812i | ||||
\(371\) | −4.41182e7 | − | 2.50207e8i | −0.0448548 | − | 0.254384i | ||||
\(372\) | 5.60399e8 | − | 9.70639e8i | 0.564413 | − | 0.977592i | ||||
\(373\) | 2.89169e8 | + | 5.00855e8i | 0.288517 | + | 0.499725i | 0.973456 | − | 0.228875i | \(-0.0735046\pi\) |
−0.684939 | + | 0.728600i | \(0.740171\pi\) | |||||||
\(374\) | 2.29596e8 | − | 1.92654e8i | 0.226941 | − | 0.190426i | ||||
\(375\) | −1.23673e9 | + | 4.50133e8i | −1.21106 | + | 0.440789i | ||||
\(376\) | 3.58209e7 | + | 1.30377e7i | 0.0347519 | + | 0.0126487i | ||||
\(377\) | −2.60503e7 | − | 2.18588e7i | −0.0250391 | − | 0.0210103i | ||||
\(378\) | 6.25684e8 | − | 3.54843e9i | 0.595845 | − | 3.37921i | ||||
\(379\) | −1.12807e9 | −1.06438 | −0.532192 | − | 0.846623i | \(-0.678632\pi\) | ||||
−0.532192 | + | 0.846623i | \(0.678632\pi\) | |||||||
\(380\) | −3.32916e8 | − | 5.42684e8i | −0.311238 | − | 0.507346i | ||||
\(381\) | −1.57833e9 | −1.46204 | ||||||||
\(382\) | 6.81844e7 | − | 3.86693e8i | 0.0625840 | − | 0.354931i | ||||
\(383\) | −2.07508e8 | − | 1.74120e8i | −0.188729 | − | 0.158362i | 0.543528 | − | 0.839391i | \(-0.317088\pi\) |
−0.732256 | + | 0.681029i | \(0.761533\pi\) | |||||||
\(384\) | −1.71163e8 | − | 6.22984e7i | −0.154259 | − | 0.0561458i | ||||
\(385\) | −8.73631e8 | + | 3.17976e8i | −0.780217 | + | 0.283976i | ||||
\(386\) | 7.50171e8 | − | 6.29468e8i | 0.663903 | − | 0.557081i | ||||
\(387\) | −3.07303e8 | − | 5.32264e8i | −0.269512 | − | 0.466809i | ||||
\(388\) | −1.69644e8 | + | 2.93832e8i | −0.147444 | + | 0.255381i | ||||
\(389\) | 3.75174e8 | + | 2.12772e9i | 0.323153 | + | 1.83269i | 0.522346 | + | 0.852734i | \(0.325057\pi\) |
−0.199192 | + | 0.979960i | \(0.563832\pi\) | |||||||
\(390\) | 2.22177e8 | + | 1.26003e9i | 0.189659 | + | 1.07561i | ||||
\(391\) | −7.97177e7 | + | 1.38075e8i | −0.0674428 | + | 0.116814i | ||||
\(392\) | 4.74302e8 | + | 8.21515e8i | 0.397698 | + | 0.688833i | ||||
\(393\) | −1.87464e9 | + | 1.57301e9i | −1.55792 | + | 1.30725i | ||||
\(394\) | −7.61763e8 | + | 2.77259e8i | −0.627456 | + | 0.228375i | ||||
\(395\) | −1.85017e9 | − | 6.73408e8i | −1.51051 | − | 0.549779i | ||||
\(396\) | 4.48564e8 | + | 3.76390e8i | 0.362987 | + | 0.304582i | ||||
\(397\) | −8.08891e7 | + | 4.58745e8i | −0.0648819 | + | 0.367963i | 0.935028 | + | 0.354573i | \(0.115374\pi\) |
−0.999910 | + | 0.0133908i | \(0.995737\pi\) | |||||||
\(398\) | −9.95408e8 | −0.791426 | ||||||||
\(399\) | 3.95180e9 | − | 1.55885e9i | 3.11451 | − | 1.22857i | ||||
\(400\) | 1.33464e8 | 0.104269 | ||||||||
\(401\) | −3.33511e8 | + | 1.89143e9i | −0.258288 | + | 1.46483i | 0.529200 | + | 0.848497i | \(0.322492\pi\) |
−0.787489 | + | 0.616329i | \(0.788619\pi\) | |||||||
\(402\) | 3.61710e8 | + | 3.03510e8i | 0.277696 | + | 0.233014i | ||||
\(403\) | −1.04855e9 | − | 3.81642e8i | −0.798037 | − | 0.290462i | ||||
\(404\) | −1.08536e9 | + | 3.95040e8i | −0.818917 | + | 0.298061i | ||||
\(405\) | 3.10886e9 | − | 2.60865e9i | 2.32546 | − | 1.95129i | ||||
\(406\) | −4.02098e7 | − | 6.96455e7i | −0.0298189 | − | 0.0516478i | ||||
\(407\) | −5.00920e8 | + | 8.67618e8i | −0.368288 | + | 0.637894i | ||||
\(408\) | −1.69384e8 | − | 9.60622e8i | −0.123470 | − | 0.700232i | ||||
\(409\) | −3.32409e8 | − | 1.88519e9i | −0.240238 | − | 1.36246i | −0.831297 | − | 0.555828i | \(-0.812401\pi\) |
0.591060 | − | 0.806628i | \(-0.298710\pi\) | |||||||
\(410\) | −5.16718e8 | + | 8.94982e8i | −0.370263 | + | 0.641314i | ||||
\(411\) | 1.64670e9 | + | 2.85217e9i | 1.16995 | + | 2.02642i | ||||
\(412\) | 5.70856e8 | − | 4.79005e8i | 0.402148 | − | 0.337443i | ||||
\(413\) | 3.90256e9 | − | 1.42042e9i | 2.72599 | − | 0.992179i | ||||
\(414\) | −2.92705e8 | − | 1.06536e8i | −0.202735 | − | 0.0737897i | ||||
\(415\) | −5.79014e8 | − | 4.85850e8i | −0.397668 | − | 0.333683i | ||||
\(416\) | −3.14900e7 | + | 1.78589e8i | −0.0214460 | + | 0.121626i | ||||
\(417\) | −5.10685e8 | −0.344887 | ||||||||
\(418\) | −6.01887e7 | + | 4.04060e8i | −0.0403086 | + | 0.270601i | ||||
\(419\) | 7.52155e8 | 0.499526 | 0.249763 | − | 0.968307i | \(-0.419647\pi\) | ||||
0.249763 | + | 0.968307i | \(0.419647\pi\) | |||||||
\(420\) | −5.25416e8 | + | 2.97978e9i | −0.346044 | + | 1.96251i | ||||
\(421\) | 5.34010e8 | + | 4.48087e8i | 0.348788 | + | 0.292668i | 0.800303 | − | 0.599595i | \(-0.204672\pi\) |
−0.451515 | + | 0.892264i | \(0.649116\pi\) | |||||||
\(422\) | −2.15886e6 | − | 785759.i | −0.00139840 | − | 0.000508974i | ||||
\(423\) | −3.74777e8 | + | 1.36407e8i | −0.240758 | + | 0.0876288i | ||||
\(424\) | 6.09124e7 | − | 5.11115e7i | 0.0388083 | − | 0.0325641i | ||||
\(425\) | 3.57364e8 | + | 6.18973e8i | 0.225813 | + | 0.391120i | ||||
\(426\) | −6.83075e8 | + | 1.18312e9i | −0.428090 | + | 0.741473i | ||||
\(427\) | −1.89442e7 | − | 1.07438e8i | −0.0117755 | − | 0.0667820i | ||||
\(428\) | −1.77213e8 | − | 1.00503e9i | −0.109256 | − | 0.619619i | ||||
\(429\) | 4.10490e8 | − | 7.10989e8i | 0.251016 | − | 0.434773i | ||||
\(430\) | 1.52701e8 | + | 2.64486e8i | 0.0926196 | + | 0.160422i | ||||
\(431\) | −2.05167e8 | + | 1.72155e8i | −0.123434 | + | 0.103574i | −0.702415 | − | 0.711767i | \(-0.747895\pi\) |
0.578981 | + | 0.815341i | \(0.303451\pi\) | |||||||
\(432\) | 1.05968e9 | − | 3.85691e8i | 0.632384 | − | 0.230169i | ||||
\(433\) | 3.11984e9 | + | 1.13553e9i | 1.84682 | + | 0.672189i | 0.986802 | + | 0.161930i | \(0.0517718\pi\) |
0.860021 | + | 0.510259i | \(0.170450\pi\) | |||||||
\(434\) | −2.02144e9 | − | 1.69619e9i | −1.18699 | − | 0.996005i | ||||
\(435\) | 3.08364e7 | − | 1.74882e8i | 0.0179618 | − | 0.101867i | ||||
\(436\) | 5.55837e8 | 0.321177 | ||||||||
\(437\) | −4.34277e7 | − | 2.12930e8i | −0.0248932 | − | 0.122054i | ||||
\(438\) | −1.06807e9 | −0.607350 | ||||||||
\(439\) | 1.76511e7 | − | 1.00105e8i | 0.00995742 | − | 0.0564714i | −0.979424 | − | 0.201812i | \(-0.935317\pi\) |
0.989382 | + | 0.145341i | \(0.0464280\pi\) | |||||||
\(440\) | −2.22895e8 | − | 1.87031e8i | −0.124743 | − | 0.104672i | ||||
\(441\) | −9.32625e9 | − | 3.39448e9i | −5.17812 | − | 1.88468i | ||||
\(442\) | −9.12566e8 | + | 3.32147e8i | −0.502674 | + | 0.182958i | ||||
\(443\) | −2.42881e9 | + | 2.03801e9i | −1.32733 | + | 1.11376i | −0.342641 | + | 0.939467i | \(0.611321\pi\) |
−0.984693 | + | 0.174298i | \(0.944234\pi\) | |||||||
\(444\) | 1.63027e9 | + | 2.82371e9i | 0.883932 | + | 1.53101i | ||||
\(445\) | 6.95342e8 | − | 1.20437e9i | 0.374057 | − | 0.647886i | ||||
\(446\) | −3.48799e8 | − | 1.97814e9i | −0.186167 | − | 1.05581i | ||||
\(447\) | 7.03680e8 | + | 3.99077e9i | 0.372648 | + | 2.11339i | ||||
\(448\) | −2.14425e8 | + | 3.71396e8i | −0.112669 | + | 0.195148i | ||||
\(449\) | 5.62399e7 | + | 9.74104e7i | 0.0293213 | + | 0.0507859i | 0.880314 | − | 0.474392i | \(-0.157332\pi\) |
−0.850992 | + | 0.525178i | \(0.823999\pi\) | |||||||
\(450\) | −1.06968e9 | + | 8.97572e8i | −0.553365 | + | 0.464328i | ||||
\(451\) | 6.23121e8 | − | 2.26797e8i | 0.319856 | − | 0.116418i | ||||
\(452\) | −1.30298e9 | − | 4.74245e8i | −0.663670 | − | 0.241556i | ||||
\(453\) | 2.21190e9 | + | 1.85601e9i | 1.11795 | + | 0.938071i | ||||
\(454\) | −2.22191e8 | + | 1.26011e9i | −0.111437 | + | 0.631993i | ||||
\(455\) | 3.01239e9 | 1.49924 | ||||||||
\(456\) | 1.04091e9 | + | 8.27161e8i | 0.514087 | + | 0.408520i | ||||
\(457\) | 2.67806e9 | 1.31254 | 0.656272 | − | 0.754524i | \(-0.272132\pi\) | ||||
0.656272 | + | 0.754524i | \(0.272132\pi\) | |||||||
\(458\) | −2.96816e8 | + | 1.68333e9i | −0.144364 | + | 0.818729i | ||||
\(459\) | 4.62613e9 | + | 3.88178e9i | 2.23292 | + | 1.87364i | ||||
\(460\) | 1.45448e8 | + | 5.29386e7i | 0.0696713 | + | 0.0253583i | ||||
\(461\) | 1.57167e9 | − | 5.72041e8i | 0.747151 | − | 0.271941i | 0.0597446 | − | 0.998214i | \(-0.480971\pi\) |
0.687406 | + | 0.726273i | \(0.258749\pi\) | |||||||
\(462\) | 1.48727e9 | − | 1.24797e9i | 0.701686 | − | 0.588784i | ||||
\(463\) | −1.17123e9 | − | 2.02864e9i | −0.548417 | − | 0.949885i | −0.998383 | − | 0.0568400i | \(-0.981898\pi\) |
0.449967 | − | 0.893045i | \(-0.351436\pi\) | |||||||
\(464\) | 1.25845e7 | − | 2.17970e7i | 0.00584821 | − | 0.0101294i | ||||
\(465\) | −1.01183e9 | − | 5.73839e9i | −0.466685 | − | 2.64670i | ||||
\(466\) | 4.07430e7 | + | 2.31065e8i | 0.0186510 | + | 0.105775i | ||||
\(467\) | −1.62616e8 | + | 2.81659e8i | −0.0738846 | + | 0.127972i | −0.900601 | − | 0.434647i | \(-0.856873\pi\) |
0.826716 | + | 0.562619i | \(0.190206\pi\) | |||||||
\(468\) | −9.48656e8 | − | 1.64312e9i | −0.427808 | − | 0.740984i | ||||
\(469\) | 8.51610e8 | − | 7.14586e8i | 0.381185 | − | 0.319852i | ||||
\(470\) | 1.86229e8 | − | 6.77819e7i | 0.0827381 | − | 0.0301142i | ||||
\(471\) | −2.22354e9 | − | 8.09301e8i | −0.980553 | − | 0.356892i | ||||
\(472\) | 9.95684e8 | + | 8.35478e8i | 0.435837 | + | 0.365711i | ||||
\(473\) | 3.40287e7 | − | 1.92986e8i | 0.0147853 | − | 0.0838518i | ||||
\(474\) | 4.11169e9 | 1.77336 | ||||||||
\(475\) | −9.23995e8 | − | 3.08671e8i | −0.395587 | − | 0.132150i | ||||
\(476\) | −2.29658e9 | −0.976017 | ||||||||
\(477\) | −1.44463e8 | + | 8.19293e8i | −0.0609458 | + | 0.345641i | ||||
\(478\) | −1.08371e9 | − | 9.09339e8i | −0.453852 | − | 0.380827i | ||||
\(479\) | −4.20217e9 | − | 1.52947e9i | −1.74703 | − | 0.635866i | −0.747432 | − | 0.664338i | \(-0.768713\pi\) |
−0.999595 | + | 0.0284727i | \(0.990936\pi\) | |||||||
\(480\) | −8.89862e8 | + | 3.23883e8i | −0.367264 | + | 0.133673i | ||||
\(481\) | 2.48668e9 | − | 2.08658e9i | 1.01886 | − | 0.854922i | ||||
\(482\) | −9.57348e8 | − | 1.65818e9i | −0.389408 | − | 0.674475i | ||||
\(483\) | −5.16393e8 | + | 8.94419e8i | −0.208528 | + | 0.361182i | ||||
\(484\) | −1.84150e8 | − | 1.04437e9i | −0.0738266 | − | 0.418691i | ||||
\(485\) | 3.06303e8 | + | 1.73713e9i | 0.121914 | + | 0.691411i | ||||
\(486\) | −1.82907e9 | + | 3.16804e9i | −0.722775 | + | 1.25188i | ||||
\(487\) | 1.67297e9 | + | 2.89767e9i | 0.656353 | + | 1.13684i | 0.981553 | + | 0.191191i | \(0.0612349\pi\) |
−0.325200 | + | 0.945645i | \(0.605432\pi\) | |||||||
\(488\) | 2.61555e7 | − | 2.19471e7i | 0.0101881 | − | 0.00854884i | ||||
\(489\) | 2.91282e8 | − | 1.06018e8i | 0.112650 | − | 0.0410014i | ||||
\(490\) | 4.63428e9 | + | 1.68674e9i | 1.77949 | + | 0.647682i | ||||
\(491\) | −2.27824e9 | − | 1.91167e9i | −0.868591 | − | 0.728834i | 0.0952102 | − | 0.995457i | \(-0.469648\pi\) |
−0.963801 | + | 0.266623i | \(0.914092\pi\) | |||||||
\(492\) | 3.74755e8 | − | 2.12534e9i | 0.141863 | − | 0.804546i | ||||
\(493\) | 1.34785e8 | 0.0506615 | ||||||||
\(494\) | 6.31043e8 | − | 1.16357e9i | 0.235513 | − | 0.434258i | ||||
\(495\) | 3.04426e9 | 1.12814 | ||||||||
\(496\) | 1.43411e8 | − | 8.13323e8i | 0.0527711 | − | 0.299280i | ||||
\(497\) | 2.46396e9 | + | 2.06751e9i | 0.900297 | + | 0.755439i | ||||
\(498\) | 1.48325e9 | + | 5.39859e8i | 0.538160 | + | 0.195874i | ||||
\(499\) | −8.97528e8 | + | 3.26674e8i | −0.323367 | + | 0.117696i | −0.498603 | − | 0.866830i | \(-0.666153\pi\) |
0.175236 | + | 0.984527i | \(0.443931\pi\) | |||||||
\(500\) | −7.42895e8 | + | 6.23363e8i | −0.265786 | + | 0.223021i | ||||
\(501\) | 5.23747e8 | + | 9.07156e8i | 0.186076 | + | 0.322292i | ||||
\(502\) | −1.89804e8 | + | 3.28749e8i | −0.0669640 | + | 0.115985i | ||||
\(503\) | 6.62879e7 | + | 3.75938e8i | 0.0232245 | + | 0.131713i | 0.994216 | − | 0.107403i | \(-0.0342535\pi\) |
−0.970991 | + | 0.239116i | \(0.923142\pi\) | |||||||
\(504\) | −7.79135e8 | − | 4.41869e9i | −0.271085 | − | 1.53740i | ||||
\(505\) | −3.00241e9 | + | 5.20033e9i | −1.03741 | + | 1.79685i | ||||
\(506\) | −4.96585e7 | − | 8.60110e7i | −0.0170399 | − | 0.0295139i | ||||
\(507\) | 2.13720e9 | − | 1.79332e9i | 0.728310 | − | 0.611125i | ||||
\(508\) | −1.09287e9 | + | 3.97771e8i | −0.369866 | + | 0.134620i | ||||
\(509\) | −1.89023e9 | − | 6.87988e8i | −0.635335 | − | 0.231243i | 0.00421672 | − | 0.999991i | \(-0.498658\pi\) |
−0.639552 | + | 0.768748i | \(0.720880\pi\) | |||||||
\(510\) | −3.88478e9 | − | 3.25972e9i | −1.29679 | − | 1.08814i | ||||
\(511\) | −4.36666e8 | + | 2.47646e9i | −0.144769 | + | 0.821027i | ||||
\(512\) | −1.34218e8 | −0.0441942 | ||||||||
\(513\) | −8.22833e9 | + | 2.19424e8i | −2.69092 | + | 0.0717586i | ||||
\(514\) | 5.77202e8 | 0.187481 | ||||||||
\(515\) | 6.72751e8 | − | 3.81536e9i | 0.217035 | − | 1.23086i | ||||
\(516\) | −4.88562e8 | − | 4.09952e8i | −0.156547 | − | 0.131359i | ||||
\(517\) | −1.19495e8 | − | 4.34927e7i | −0.0380306 | − | 0.0138420i | ||||
\(518\) | 7.21366e9 | − | 2.62556e9i | 2.28035 | − | 0.829980i | ||||
\(519\) | −3.43944e7 | + | 2.88603e7i | −0.0107995 | + | 0.00906182i | ||||
\(520\) | 4.71394e8 | + | 8.16479e8i | 0.147019 | + | 0.254644i | ||||
\(521\) | −2.85346e9 | + | 4.94234e9i | −0.883975 | + | 1.53109i | −0.0370907 | + | 0.999312i | \(0.511809\pi\) |
−0.846884 | + | 0.531777i | \(0.821524\pi\) | |||||||
\(522\) | 4.57270e7 | + | 2.59331e8i | 0.0140710 | + | 0.0798008i | ||||
\(523\) | −1.05408e9 | − | 5.97799e9i | −0.322194 | − | 1.82726i | −0.528699 | − | 0.848809i | \(-0.677320\pi\) |
0.206504 | − | 0.978446i | \(-0.433791\pi\) | |||||||
\(524\) | −9.01610e8 | + | 1.56163e9i | −0.273753 | + | 0.474154i | ||||
\(525\) | 2.31493e9 | + | 4.00957e9i | 0.698199 | + | 1.20932i | ||||
\(526\) | −1.21778e9 | + | 1.02184e9i | −0.364854 | + | 0.306149i | ||||
\(527\) | 4.15598e9 | − | 1.51265e9i | 1.23690 | − | 0.450196i | ||||
\(528\) | 5.70986e8 | + | 2.07822e8i | 0.168813 | + | 0.0614430i | ||||
\(529\) | −2.56778e9 | − | 2.15462e9i | −0.754158 | − | 0.632814i | ||||
\(530\) | 7.17849e7 | − | 4.07113e8i | 0.0209444 | − | 0.118782i | ||||
\(531\) | −1.35989e10 | −3.94160 | ||||||||
\(532\) | 2.34345e9 | − | 2.07532e9i | 0.674783 | − | 0.597576i | ||||
\(533\) | −2.14860e9 | −0.614624 | ||||||||
\(534\) | −5.04304e8 | + | 2.86005e9i | −0.143317 | + | 0.812791i | ||||
\(535\) | −4.06436e9 | − | 3.41040e9i | −1.14750 | − | 0.962869i | ||||
\(536\) | 3.26946e8 | + | 1.18999e8i | 0.0917064 | + | 0.0333784i | ||||
\(537\) | −6.50318e9 | + | 2.36696e9i | −1.81224 | + | 0.659601i | ||||
\(538\) | −7.91340e8 | + | 6.64013e8i | −0.219091 | + | 0.183839i | ||||
\(539\) | −1.58223e9 | − | 2.74050e9i | −0.435220 | − | 0.753823i | ||||
\(540\) | 2.93137e9 | − | 5.07727e9i | 0.801109 | − | 1.38756i | ||||
\(541\) | −3.25767e8 | − | 1.84752e9i | −0.0884538 | − | 0.501646i | −0.996558 | − | 0.0829015i | \(-0.973581\pi\) |
0.908104 | − | 0.418745i | \(-0.137530\pi\) | |||||||
\(542\) | −2.47347e8 | − | 1.40277e9i | −0.0667281 | − | 0.378434i | ||||
\(543\) | 4.50372e9 | − | 7.80067e9i | 1.20718 | − | 2.09090i | ||||
\(544\) | −3.59381e8 | − | 6.22467e8i | −0.0957105 | − | 0.165775i | ||||
\(545\) | 2.21367e9 | − | 1.85749e9i | 0.585768 | − | 0.491518i | ||||
\(546\) | −5.91140e9 | + | 2.15157e9i | −1.55423 | + | 0.565694i | ||||
\(547\) | 3.10174e9 | + | 1.12894e9i | 0.810308 | + | 0.294928i | 0.713751 | − | 0.700399i | \(-0.246995\pi\) |
0.0965571 | + | 0.995327i | \(0.469217\pi\) | |||||||
\(548\) | 1.85902e9 | + | 1.55990e9i | 0.482561 | + | 0.404916i | ||||
\(549\) | −6.20319e7 | + | 3.51801e8i | −0.0159997 | + | 0.0907389i | ||||
\(550\) | −4.45225e8 | −0.114106 | ||||||||
\(551\) | −1.37536e8 | + | 1.21799e8i | −0.0350255 | + | 0.0310180i | ||||
\(552\) | −3.23232e8 | −0.0817951 | ||||||||
\(553\) | 1.68101e9 | − | 9.53350e9i | 0.422701 | − | 2.39726i | ||||
\(554\) | 1.44435e9 | + | 1.21195e9i | 0.360900 | + | 0.302831i | ||||
\(555\) | 1.59289e10 | + | 5.79766e9i | 3.95513 | + | 1.43955i | ||||
\(556\) | −3.53609e8 | + | 1.28703e8i | −0.0872492 | + | 0.0317561i | ||||
\(557\) | 2.75368e9 | − | 2.31061e9i | 0.675180 | − | 0.566544i | −0.239413 | − | 0.970918i | \(-0.576955\pi\) |
0.914594 | + | 0.404374i | \(0.132511\pi\) | |||||||
\(558\) | 4.32034e9 | + | 7.48305e9i | 1.05268 | + | 1.82330i | ||||
\(559\) | −3.17478e8 | + | 5.49888e8i | −0.0768727 | + | 0.133147i | ||||
\(560\) | 3.87158e8 | + | 2.19568e9i | 0.0931601 | + | 0.528337i | ||||
\(561\) | 5.65048e8 | + | 3.20455e9i | 0.135119 | + | 0.766296i | ||||
\(562\) | −8.80057e8 | + | 1.52430e9i | −0.209138 | + | 0.362238i | ||||
\(563\) | −8.64630e8 | − | 1.49758e9i | −0.204198 | − | 0.353681i | 0.745679 | − | 0.666305i | \(-0.232125\pi\) |
−0.949877 | + | 0.312624i | \(0.898792\pi\) | |||||||
\(564\) | −3.17037e8 | + | 2.66025e8i | −0.0744103 | + | 0.0624376i | ||||
\(565\) | −6.77405e9 | + | 2.46555e9i | −1.58008 | + | 0.575102i | ||||
\(566\) | 2.69930e9 | + | 9.82464e8i | 0.625739 | + | 0.227750i | ||||
\(567\) | 1.52854e10 | + | 1.28260e10i | 3.52156 | + | 2.95494i | ||||
\(568\) | −1.74805e8 | + | 9.91367e8i | −0.0400253 | + | 0.226994i | ||||
\(569\) | −1.42398e9 | −0.324050 | −0.162025 | − | 0.986787i | \(-0.551803\pi\) | ||||
−0.162025 | + | 0.986787i | \(0.551803\pi\) | |||||||
\(570\) | 6.90972e9 | − | 1.84261e8i | 1.56278 | − | 0.0416746i | ||||
\(571\) | 6.27535e8 | 0.141062 | 0.0705312 | − | 0.997510i | \(-0.477531\pi\) | ||||
0.0705312 | + | 0.997510i | \(0.477531\pi\) | |||||||
\(572\) | 1.05048e8 | − | 5.95756e8i | 0.0234694 | − | 0.133101i | ||||
\(573\) | 3.26568e9 | + | 2.74023e9i | 0.725158 | + | 0.608480i | ||||
\(574\) | −4.77468e9 | − | 1.73784e9i | −1.05379 | − | 0.383547i | ||||
\(575\) | 2.22556e8 | − | 8.10039e7i | 0.0488206 | − | 0.0177692i | ||||
\(576\) | 1.07572e9 | − | 9.02638e8i | 0.234542 | − | 0.196804i | ||||
\(577\) | 2.91116e9 | + | 5.04228e9i | 0.630887 | + | 1.09273i | 0.987371 | + | 0.158426i | \(0.0506420\pi\) |
−0.356484 | + | 0.934301i | \(0.616025\pi\) | |||||||
\(578\) | 2.83204e8 | − | 4.90524e8i | 0.0610032 | − | 0.105661i | ||||
\(579\) | 1.84621e9 | + | 1.04704e10i | 0.395282 | + | 2.24175i | ||||
\(580\) | −2.27221e7 | − | 1.28863e8i | −0.00483560 | − | 0.0274240i | ||||
\(581\) | 1.85814e9 | − | 3.21840e9i | 0.393064 | − | 0.680806i | ||||
\(582\) | −1.84181e9 | − | 3.19011e9i | −0.387270 | − | 0.670771i | ||||
\(583\) | −2.03198e8 | + | 1.70503e8i | −0.0424698 | + | 0.0356364i | ||||
\(584\) | −7.39552e8 | + | 2.69175e8i | −0.153647 | + | 0.0559229i | ||||
\(585\) | −9.26908e9 | − | 3.37367e9i | −1.91422 | − | 0.696718i | ||||
\(586\) | −3.93757e9 | − | 3.30401e9i | −0.808326 | − | 0.678266i | ||||
\(587\) | 5.93675e8 | − | 3.36690e9i | 0.121148 | − | 0.687064i | −0.862374 | − | 0.506272i | \(-0.831023\pi\) |
0.983521 | − | 0.180791i | \(-0.0578658\pi\) | |||||||
\(588\) | −1.02989e10 | −2.08915 | ||||||||
\(589\) | −2.87387e9 | + | 5.29909e9i | −0.579514 | + | 1.06856i | ||||
\(590\) | 6.75739e9 | 1.35456 | ||||||||
\(591\) | 1.52830e9 | − | 8.66744e9i | 0.304546 | − | 1.72717i | ||||
\(592\) | 1.84047e9 | + | 1.54433e9i | 0.364587 | + | 0.305925i | ||||
\(593\) | 1.57975e9 | + | 5.74981e8i | 0.311097 | + | 0.113230i | 0.492850 | − | 0.870114i | \(-0.335955\pi\) |
−0.181753 | + | 0.983344i | \(0.558177\pi\) | |||||||
\(594\) | −3.53499e9 | + | 1.28663e9i | −0.692047 | + | 0.251885i | ||||
\(595\) | −9.14634e9 | + | 7.67469e9i | −1.78007 | + | 1.49366i | ||||
\(596\) | 1.49300e9 | + | 2.58595e9i | 0.288867 | + | 0.500332i | ||||
\(597\) | 5.40352e9 | − | 9.35916e9i | 1.03936 | − | 1.80023i | ||||
\(598\) | 5.58807e7 | + | 3.16915e8i | 0.0106858 | + | 0.0606023i | ||||
\(599\) | 8.85919e8 | + | 5.02429e9i | 0.168422 | + | 0.955171i | 0.945465 | + | 0.325723i | \(0.105608\pi\) |
−0.777043 | + | 0.629448i | \(0.783281\pi\) | |||||||
\(600\) | −7.24504e8 | + | 1.25488e9i | −0.136934 | + | 0.237177i | ||||
\(601\) | −2.14068e9 | − | 3.70776e9i | −0.402245 | − | 0.696708i | 0.591752 | − | 0.806120i | \(-0.298437\pi\) |
−0.993996 | + | 0.109412i | \(0.965103\pi\) | |||||||
\(602\) | −1.15027e9 | + | 9.65193e8i | −0.214888 | + | 0.180313i | ||||
\(603\) | −3.42068e9 | + | 1.24503e9i | −0.635334 | + | 0.231243i | ||||
\(604\) | 1.99932e9 | + | 7.27693e8i | 0.369193 | + | 0.134375i | ||||
\(605\) | −4.22345e9 | − | 3.54389e9i | −0.775395 | − | 0.650634i | ||||
\(606\) | 2.17753e9 | − | 1.23494e10i | 0.397475 | − | 2.25420i | ||||
\(607\) | 5.21791e9 | 0.946970 | 0.473485 | − | 0.880802i | \(-0.342996\pi\) | ||||
0.473485 | + | 0.880802i | \(0.342996\pi\) | |||||||
\(608\) | 9.29210e8 | + | 3.10413e8i | 0.167668 | + | 0.0560115i | ||||
\(609\) | 8.73108e8 | 0.156642 | ||||||||
\(610\) | 3.08241e7 | − | 1.74812e8i | 0.00549840 | − | 0.0311830i | ||||
\(611\) | 3.15637e8 | + | 2.64851e8i | 0.0559813 | + | 0.0469739i | ||||
\(612\) | 7.06655e9 | + | 2.57201e9i | 1.24617 | + | 0.453569i | ||||
\(613\) | −5.70101e9 | + | 2.07500e9i | −0.999631 | + | 0.363836i | −0.789442 | − | 0.613825i | \(-0.789630\pi\) |
−0.210189 | + | 0.977661i | \(0.567408\pi\) | |||||||
\(614\) | −5.20713e9 | + | 4.36930e9i | −0.907840 | + | 0.761768i | ||||
\(615\) | −5.60995e9 | − | 9.71672e9i | −0.972514 | − | 1.68444i | ||||
\(616\) | 7.15304e8 | − | 1.23894e9i | 0.123299 | − | 0.213559i | ||||
\(617\) | 7.04466e8 | + | 3.99522e9i | 0.120743 | + | 0.684767i | 0.983746 | + | 0.179568i | \(0.0574699\pi\) |
−0.863003 | + | 0.505199i | \(0.831419\pi\) | |||||||
\(618\) | 1.40491e9 | + | 7.96763e9i | 0.239435 | + | 1.35791i | ||||
\(619\) | −1.15028e9 | + | 1.99234e9i | −0.194933 | + | 0.337635i | −0.946879 | − | 0.321591i | \(-0.895782\pi\) |
0.751945 | + | 0.659225i | \(0.229116\pi\) | |||||||
\(620\) | −2.14681e9 | − | 3.71838e9i | −0.361762 | − | 0.626589i | ||||
\(621\) | 1.53296e9 | − | 1.28631e9i | 0.256868 | − | 0.215538i | ||||
\(622\) | 3.29447e8 | − | 1.19909e8i | 0.0548932 | − | 0.0199795i | ||||
\(623\) | 6.42523e9 | + | 2.33859e9i | 1.06459 | + | 0.387477i | ||||
\(624\) | −1.50821e9 | − | 1.26554e9i | −0.248494 | − | 0.208511i | ||||
\(625\) | −1.31754e9 | + | 7.47215e9i | −0.215866 | + | 1.22424i | ||||
\(626\) | 6.03489e9 | 0.983240 | ||||||||
\(627\) | −3.47238e9 | − | 2.75933e9i | −0.562589 | − | 0.447062i | ||||
\(628\) | −1.74358e9 | −0.280921 | ||||||||
\(629\) | −2.23419e9 | + | 1.26707e10i | −0.357966 | + | 2.03013i | ||||
\(630\) | −1.78693e10 | − | 1.49941e10i | −2.84719 | − | 2.38907i | ||||
\(631\) | −3.07816e9 | − | 1.12036e9i | −0.487740 | − | 0.177523i | 0.0864315 | − | 0.996258i | \(-0.472454\pi\) |
−0.574172 | + | 0.818735i | \(0.694676\pi\) | |||||||
\(632\) | 2.84702e9 | − | 1.03623e9i | 0.448622 | − | 0.163285i | ||||
\(633\) | 1.91072e7 | − | 1.60328e7i | 0.00299422 | − | 0.00251245i | ||||
\(634\) | −1.50312e9 | − | 2.60349e9i | −0.234251 | − | 0.405735i | ||||
\(635\) | −3.02317e9 | + | 5.23629e9i | −0.468549 | + | 0.811551i | ||||
\(636\) | 1.49909e8 | + | 8.50175e8i | 0.0231061 | + | 0.131041i | ||||
\(637\) | 1.78048e9 | + | 1.00976e10i | 0.272929 | + | 1.54786i | ||||
\(638\) | −4.19808e7 | + | 7.27129e7i | −0.00639997 | + | 0.0110851i | ||||
\(639\) | −5.26610e9 | − | 9.12115e9i | −0.798429 | − | 1.38292i | ||||
\(640\) | −5.34534e8 | + | 4.48527e8i | −0.0806020 | + | 0.0676331i | ||||
\(641\) | 2.07097e9 | − | 7.53772e8i | 0.310578 | − | 0.113041i | −0.182029 | − | 0.983293i | \(-0.558266\pi\) |
0.492607 | + | 0.870252i | \(0.336044\pi\) | |||||||
\(642\) | 1.04116e10 | + | 3.78951e9i | 1.55291 | + | 0.565211i | ||||
\(643\) | 2.98030e9 | + | 2.50077e9i | 0.442101 | + | 0.370967i | 0.836495 | − | 0.547974i | \(-0.184601\pi\) |
−0.394394 | + | 0.918942i | \(0.629045\pi\) | |||||||
\(644\) | −1.32149e8 | + | 7.49457e8i | −0.0194969 | + | 0.110572i | ||||
\(645\) | −3.31572e9 | −0.486540 | ||||||||
\(646\) | 1.04844e9 | + | 5.14060e9i | 0.153013 | + | 0.750239i | ||||
\(647\) | 3.65624e9 | 0.530725 | 0.265363 | − | 0.964149i | \(-0.414508\pi\) | ||||
0.265363 | + | 0.964149i | \(0.414508\pi\) | |||||||
\(648\) | −1.08442e9 | + | 6.15003e9i | −0.156561 | + | 0.887902i | ||||
\(649\) | −3.32151e9 | − | 2.78708e9i | −0.476957 | − | 0.400215i | ||||
\(650\) | 1.35561e9 | + | 4.93401e8i | 0.193614 | + | 0.0704698i | ||||
\(651\) | 2.69215e10 | − | 9.79862e9i | 3.82442 | − | 1.39198i | ||||
\(652\) | 1.74971e8 | − | 1.46818e8i | 0.0247229 | − | 0.0207450i | ||||
\(653\) | −5.72381e9 | − | 9.91393e9i | −0.804432 | − | 1.39332i | −0.916674 | − | 0.399636i | \(-0.869137\pi\) |
0.112242 | − | 0.993681i | \(-0.464197\pi\) | |||||||
\(654\) | −3.01733e9 | + | 5.22617e9i | −0.421794 | + | 0.730569i | ||||
\(655\) | 1.62791e9 | + | 9.23234e9i | 0.226353 | + | 1.28371i | ||||
\(656\) | −2.76142e8 | − | 1.56608e9i | −0.0381917 | − | 0.216596i | ||||
\(657\) | 4.11708e9 | − | 7.13099e9i | 0.566383 | − | 0.981004i | ||||
\(658\) | 4.87199e8 | + | 8.43854e8i | 0.0666678 | + | 0.115472i | ||||
\(659\) | 9.14843e9 | − | 7.67644e9i | 1.24522 | − | 1.04487i | 0.248127 | − | 0.968728i | \(-0.420185\pi\) |
0.997097 | − | 0.0761392i | \(-0.0242593\pi\) | |||||||
\(660\) | 2.96850e9 | − | 1.08045e9i | 0.401914 | − | 0.146285i | ||||
\(661\) | −5.98253e9 | − | 2.17746e9i | −0.805712 | − | 0.293255i | −0.0938605 | − | 0.995585i | \(-0.529921\pi\) |
−0.711851 | + | 0.702330i | \(0.752143\pi\) | |||||||
\(662\) | 1.02018e9 | + | 8.56035e8i | 0.136671 | + | 0.114680i | ||||
\(663\) | 1.83086e9 | − | 1.03833e10i | 0.243981 | − | 1.38369i | ||||
\(664\) | 1.16309e9 | 0.154179 | ||||||||
\(665\) | 2.39772e9 | − | 1.60964e10i | 0.316171 | − | 2.12253i | ||||
\(666\) | −2.51368e10 | −3.29724 | ||||||||
\(667\) | 7.75578e6 | − | 4.39852e7i | 0.00101201 | − | 0.00573940i | ||||
\(668\) | 5.91276e8 | + | 4.96139e8i | 0.0767489 | + | 0.0644000i | ||||
\(669\) | 2.04926e10 | + | 7.45868e9i | 2.64609 | + | 0.963098i | ||||
\(670\) | 1.69976e9 | − | 6.18663e8i | 0.218337 | − | 0.0794680i | ||||
\(671\) | −8.72524e7 | + | 7.32135e7i | −0.0111493 | + | 0.00935539i | ||||
\(672\) | −2.32799e9 | − | 4.03220e9i | −0.295930 | − | 0.512566i | ||||
\(673\) | −3.43921e9 | + | 5.95689e9i | −0.434917 | + | 0.753298i | −0.997289 | − | 0.0735866i | \(-0.976555\pi\) |
0.562372 | + | 0.826884i | \(0.309889\pi\) | |||||||
\(674\) | 2.10750e8 | + | 1.19522e9i | 0.0265129 | + | 0.150362i | ||||
\(675\) | −1.55777e9 | − | 8.83457e9i | −0.194958 | − | 1.10566i | ||||
\(676\) | 1.02789e9 | − | 1.78035e9i | 0.127977 | − | 0.221662i | ||||
\(677\) | −2.81946e9 | − | 4.88345e9i | −0.349225 | − | 0.604876i | 0.636887 | − | 0.770957i | \(-0.280222\pi\) |
−0.986112 | + | 0.166081i | \(0.946889\pi\) | |||||||
\(678\) | 1.15321e10 | − | 9.67662e9i | 1.42104 | − | 1.19239i | ||||
\(679\) | −8.14969e9 | + | 2.96624e9i | −0.999072 | + | 0.363632i | ||||
\(680\) | −3.51142e9 | − | 1.27805e9i | −0.428254 | − | 0.155872i | ||||
\(681\) | −1.06418e10 | − | 8.92954e9i | −1.29122 | − | 1.08346i | ||||
\(682\) | −4.78406e8 | + | 2.71317e9i | −0.0577499 | + | 0.327516i | ||||
\(683\) | 1.00504e9 | 0.120701 | 0.0603506 | − | 0.998177i | \(-0.480778\pi\) | ||||
0.0603506 | + | 0.998177i | \(0.480778\pi\) | |||||||
\(684\) | −9.53497e9 | + | 3.76122e9i | −1.13926 | + | 0.449399i | ||||
\(685\) | 1.26166e10 | 1.49977 | ||||||||
\(686\) | −2.33898e9 | + | 1.32650e10i | −0.276625 | + | 1.56882i | ||||
\(687\) | −1.42160e10 | − | 1.19286e10i | −1.67274 | − | 1.40360i | ||||
\(688\) | −4.41608e8 | − | 1.60732e8i | −0.0516984 | − | 0.0188167i | ||||
\(689\) | 8.07644e8 | − | 2.93958e8i | 0.0940704 | − | 0.0342388i | ||||
\(690\) | −1.28730e9 | + | 1.08017e9i | −0.149179 | + | 0.125176i | ||||
\(691\) | 4.40764e9 | + | 7.63425e9i | 0.508198 | + | 0.880224i | 0.999955 | + | 0.00949187i | \(0.00302140\pi\) |
−0.491757 | + | 0.870732i | \(0.663645\pi\) | |||||||
\(692\) | −1.65420e7 | + | 2.86516e7i | −0.00189765 | + | 0.00328683i | ||||
\(693\) | 2.59912e9 | + | 1.47404e10i | 0.296661 | + | 1.68245i | ||||
\(694\) | −1.30893e9 | − | 7.42329e9i | −0.148647 | − | 0.843021i | ||||
\(695\) | −9.78181e8 | + | 1.69426e9i | −0.110528 | + | 0.191440i | ||||
\(696\) | 1.36629e8 | + | 2.36648e8i | 0.0153606 | + | 0.0266054i | ||||
\(697\) | 6.52366e9 | − | 5.47400e9i | 0.729755 | − | 0.612337i | ||||
\(698\) | −6.50770e9 | + | 2.36861e9i | −0.724325 | + | 0.263633i | ||||
\(699\) | −2.39373e9 | − | 8.71245e8i | −0.265097 | − | 0.0964873i | ||||
\(700\) | 2.61340e9 | + | 2.19290e9i | 0.287980 | + | 0.241644i | ||||
\(701\) | −2.36236e9 | + | 1.33976e10i | −0.259020 | + | 1.46897i | 0.526521 | + | 0.850162i | \(0.323496\pi\) |
−0.785540 | + | 0.618811i | \(0.787615\pi\) | |||||||
\(702\) | 1.21891e10 | 1.32982 | ||||||||
\(703\) | −9.17016e9 | − | 1.49482e10i | −0.995482 | − | 1.62273i | ||||
\(704\) | 4.47738e8 | 0.0483637 | ||||||||
\(705\) | −3.73626e8 | + | 2.11894e9i | −0.0401583 | + | 0.227749i | ||||
\(706\) | 1.65772e9 | + | 1.39099e9i | 0.177294 | + | 0.148768i | ||||
\(707\) | −2.77435e10 | − | 1.00978e10i | −2.95252 | − | 1.07463i | ||||
\(708\) | −1.32605e10 | + | 4.82641e9i | −1.40424 | + | 0.511103i | ||||
\(709\) | 5.19159e9 | − | 4.35626e9i | 0.547064 | − | 0.459041i | −0.326881 | − | 0.945065i | \(-0.605998\pi\) |
0.873945 | + | 0.486024i | \(0.161553\pi\) | |||||||
\(710\) | 2.61676e9 | + | 4.53237e9i | 0.274385 | + | 0.475249i | ||||
\(711\) | −1.58493e10 | + | 2.74518e10i | −1.65374 | + | 2.86436i | ||||
\(712\) | 3.71601e8 | + | 2.10745e9i | 0.0385831 | + | 0.218816i | ||||
\(713\) | −2.54490e8 | − | 1.44329e9i | −0.0262941 | − | 0.149121i | ||||
\(714\) | 1.24669e10 | − | 2.15932e10i | 1.28178 | − | 2.22011i | ||||
\(715\) | −1.57253e9 | − | 2.72370e9i | −0.160889 | − | 0.278669i | ||||
\(716\) | −3.90642e9 | + | 3.27787e9i | −0.397725 | + | 0.333731i | ||||
\(717\) | 1.44328e10 | − | 5.25310e9i | 1.46229 | − | 0.532229i | ||||
\(718\) | −7.36407e9 | − | 2.68030e9i | −0.742476 | − | 0.270239i | ||||
\(719\) | 1.39128e10 | + | 1.16742e10i | 1.39593 | + | 1.17132i | 0.962873 | + | 0.269954i | \(0.0870085\pi\) |
0.433054 | + | 0.901368i | \(0.357436\pi\) | |||||||
\(720\) | 1.26773e9 | − | 7.18967e9i | 0.126580 | − | 0.717869i | ||||
\(721\) | 1.90484e10 | 1.89272 | ||||||||
\(722\) | −5.71516e9 | − | 4.29807e9i | −0.565129 | − | 0.425004i | ||||
\(723\) | 2.07876e10 | 2.04560 | ||||||||
\(724\) | 1.15254e9 | − | 6.53638e9i | 0.112868 | − | 0.640107i | ||||
\(725\) | −1.53379e8 | − | 1.28700e8i | −0.0149480 | − | 0.0125429i | ||||
\(726\) | 1.08191e10 | + | 3.93784e9i | 1.04934 | + | 0.381927i | ||||
\(727\) | −1.57815e10 | + | 5.74399e9i | −1.52327 | + | 0.554426i | −0.961963 | − | 0.273180i | \(-0.911924\pi\) |
−0.561309 | + | 0.827606i | \(0.689702\pi\) | |||||||
\(728\) | −3.55094e9 | + | 2.97959e9i | −0.341101 | + | 0.286218i | ||||
\(729\) | −6.52049e9 | − | 1.12938e10i | −0.623353 | − | 1.07968i | ||||
\(730\) | −2.04581e9 | + | 3.54344e9i | −0.194641 | + | 0.337128i | ||||
\(731\) | −4.37015e8 | − | 2.47844e9i | −0.0413795 | − | 0.234675i | ||||
\(732\) | 6.43702e7 | + | 3.65061e8i | 0.00606591 | + | 0.0344015i | ||||
\(733\) | −1.42317e9 | + | 2.46499e9i | −0.133472 | + | 0.231181i | −0.925013 | − | 0.379936i | \(-0.875946\pi\) |
0.791540 | + | 0.611117i | \(0.209279\pi\) | |||||||
\(734\) | 3.75983e9 | + | 6.51222e9i | 0.350940 | + | 0.607845i | ||||
\(735\) | −4.10162e10 | + | 3.44167e10i | −3.81022 | + | 3.19715i | ||||
\(736\) | −2.23813e8 | + | 8.14611e7i | −0.0206925 | + | 0.00753144i | ||||
\(737\) | −1.09066e9 | − | 3.96969e8i | −0.100359 | − | 0.0365276i | ||||
\(738\) | 1.27454e10 | + | 1.06946e10i | 1.16723 | + | 0.979418i | ||||
\(739\) | −1.28151e9 | + | 7.26780e9i | −0.116806 | + | 0.662441i | 0.869034 | + | 0.494753i | \(0.164741\pi\) |
−0.985840 | + | 0.167688i | \(0.946370\pi\) | |||||||
\(740\) | 1.24907e10 | 1.13312 | ||||||||
\(741\) | 7.51469e9 | + | 1.22496e10i | 0.678497 | + | 1.10601i | ||||
\(742\) | 2.03253e9 | 0.182652 | ||||||||
\(743\) | −2.43485e9 | + | 1.38087e10i | −0.217776 | + | 1.23507i | 0.658247 | + | 0.752802i | \(0.271298\pi\) |
−0.876023 | + | 0.482269i | \(0.839813\pi\) | |||||||
\(744\) | 6.86864e9 | + | 5.76348e9i | 0.611457 | + | 0.513073i | ||||
\(745\) | 1.45877e10 | + | 5.30949e9i | 1.29253 | + | 0.470442i | ||||
\(746\) | −4.34768e9 | + | 1.58243e9i | −0.383417 | + | 0.139552i | ||||
\(747\) | −9.32188e9 | + | 7.82198e9i | −0.818241 | + | 0.686586i | ||||
\(748\) | 1.19886e9 | + | 2.07649e9i | 0.104740 | + | 0.181416i | ||||
\(749\) | 1.30432e10 | − | 2.25914e10i | 1.13422 | − | 1.96452i | ||||
\(750\) | −1.82831e9 | − | 1.03688e10i | −0.158247 | − | 0.897461i | ||||
\(751\) | −1.25697e9 | − | 7.12865e9i | −0.108289 | − | 0.614140i | −0.989855 | − | 0.142079i | \(-0.954621\pi\) |
0.881566 | − | 0.472061i | \(-0.156490\pi\) | |||||||
\(752\) | −1.52479e8 | + | 2.64102e8i | −0.0130752 | + | 0.0226469i | ||||
\(753\) | −2.06068e9 | − | 3.56919e9i | −0.175884 | − | 0.304641i | ||||
\(754\) | 2.08403e8 | − | 1.74871e8i | 0.0177053 | − | 0.0148565i | ||||
\(755\) | 1.03943e10 | − | 3.78321e9i | 0.878982 | − | 0.319923i | ||||
\(756\) | 2.70870e10 | + | 9.85885e9i | 2.28000 | + | 0.829851i | ||||
\(757\) | −1.47064e10 | − | 1.23401e10i | −1.23217 | − | 1.03391i | −0.998095 | − | 0.0616950i | \(-0.980349\pi\) |
−0.234075 | − | 0.972219i | \(-0.575206\pi\) | |||||||
\(758\) | 1.56710e9 | − | 8.88745e9i | 0.130693 | − | 0.741199i | ||||
\(759\) | 1.07827e9 | 0.0895122 | ||||||||
\(760\) | 4.73800e9 | − | 1.86898e9i | 0.391514 | − | 0.154439i | ||||
\(761\) | −2.29119e10 | −1.88458 | −0.942289 | − | 0.334801i | \(-0.891331\pi\) | ||||
−0.942289 | + | 0.334801i | \(0.891331\pi\) | |||||||
\(762\) | 2.19259e9 | − | 1.24348e10i | 0.179521 | − | 1.01811i | ||||
\(763\) | 1.08840e10 | + | 9.13275e9i | 0.887058 | + | 0.744330i | ||||
\(764\) | 2.95182e9 | + | 1.07438e9i | 0.239477 | + | 0.0871625i | ||||
\(765\) | 3.67383e10 | − | 1.33717e10i | 2.96691 | − | 1.07987i | ||||
\(766\) | 1.66006e9 | − | 1.39296e9i | 0.133451 | − | 0.111979i | ||||
\(767\) | 7.02458e9 | + | 1.21669e10i | 0.562130 | + | 0.973637i | ||||
\(768\) | 7.28593e8 | − | 1.26196e9i | 0.0580391 | − | 0.100527i | ||||
\(769\) | −1.76104e9 | − | 9.98738e9i | −0.139646 | − | 0.791971i | −0.971511 | − | 0.236993i | \(-0.923838\pi\) |
0.831865 | − | 0.554977i | \(-0.187273\pi\) | |||||||
\(770\) | −1.29152e9 | − | 7.32459e9i | −0.101949 | − | 0.578184i | ||||
\(771\) | −3.13331e9 | + | 5.42705e9i | −0.246214 | + | 0.426455i | ||||
\(772\) | 3.91711e9 | + | 6.78464e9i | 0.306412 | + | 0.530721i | ||||
\(773\) | 8.25684e9 | − | 6.92831e9i | 0.642962 | − | 0.539510i | −0.261964 | − | 0.965078i | \(-0.584370\pi\) |
0.904926 | + | 0.425568i | \(0.139926\pi\) | |||||||
\(774\) | 4.62033e9 | − | 1.68166e9i | 0.358162 | − | 0.130360i | ||||
\(775\) | −6.17367e9 | − | 2.24703e9i | −0.476417 | − | 0.173402i | ||||
\(776\) | −2.07928e9 | − | 1.74472e9i | −0.159734 | − | 0.134033i | ||||
\(777\) | −1.44726e10 | + | 8.20780e10i | −1.10681 | + | 6.27702i | ||||
\(778\) | −1.72843e10 | −1.31590 | ||||||||
\(779\) | −1.71018e9 | + | 1.14808e10i | −0.129617 | + | 0.870147i | ||||
\(780\) | −1.02358e10 | −0.772305 | ||||||||
\(781\) | 5.83133e8 | − | 3.30711e9i | 0.0438015 | − | 0.248411i | ||||
\(782\) | −9.77076e8 | − | 8.19864e8i | −0.0730642 | − | 0.0613082i | ||||
\(783\) | −1.58972e9 | − | 5.78610e8i | −0.118346 | − | 0.0430745i | ||||
\(784\) | −7.13117e9 | + | 2.59553e9i | −0.528512 | + | 0.192362i | ||||
\(785\) | −6.94398e9 | + | 5.82669e9i | −0.512348 | + | 0.429911i | ||||
\(786\) | −9.78867e9 | − | 1.69545e10i | −0.719027 | − | 1.24539i | ||||
\(787\) | 8.67606e9 | − | 1.50274e10i | 0.634470 | − | 1.09893i | −0.352157 | − | 0.935941i | \(-0.614552\pi\) |
0.986627 | − | 0.162994i | \(-0.0521150\pi\) | |||||||
\(788\) | −1.12614e9 | − | 6.38668e9i | −0.0819884 | − | 0.464979i | ||||
\(789\) | −2.99703e9 | − | 1.69970e10i | −0.217231 | − | 1.23198i | ||||
\(790\) | 7.87565e9 | − | 1.36410e10i | 0.568318 | − | 0.984356i | ||||
\(791\) | −1.77218e10 | − | 3.06950e10i | −1.27318 | − | 2.20521i | ||||
\(792\) | −3.58851e9 | + | 3.01112e9i | −0.256671 | + | 0.215372i | ||||
\(793\) | 3.46799e8 | − | 1.26224e8i | 0.0246957 | − | 0.00898850i | ||||
\(794\) | −3.50184e9 | − | 1.27456e9i | −0.248270 | − | 0.0903628i | ||||
\(795\) | 3.43813e9 | + | 2.88493e9i | 0.242682 | + | 0.203634i | ||||
\(796\) | 1.38281e9 | − | 7.84228e9i | 0.0971775 | − | 0.551121i | ||||
\(797\) | −3.32795e9 | −0.232848 | −0.116424 | − | 0.993200i | \(-0.537143\pi\) | ||||
−0.116424 | + | 0.993200i | \(0.537143\pi\) | |||||||
\(798\) | 6.79155e9 | + | 3.32996e10i | 0.473107 | + | 2.31969i | ||||
\(799\) | −1.63311e9 | −0.113267 | ||||||||
\(800\) | −1.85407e8 | + | 1.05149e9i | −0.0128030 | + | 0.0726092i | ||||
\(801\) | −1.71513e10 | − | 1.43916e10i | −1.17919 | − | 0.989456i | ||||
\(802\) | −1.44383e10 | − | 5.25511e9i | −0.988338 | − | 0.359726i | ||||
\(803\) | 2.46708e9 | − | 8.97943e8i | 0.168143 | − | 0.0611990i | ||||
\(804\) | −2.89368e9 | + | 2.42808e9i | −0.196360 | + | 0.164766i | ||||
\(805\) | 1.97823e9 | + | 3.42639e9i | 0.133657 | + | 0.231500i | ||||
\(806\) | 4.46339e9 | − | 7.73081e9i | 0.300256 | − | 0.520059i | ||||
\(807\) | −1.94753e9 | − | 1.10450e10i | −0.130445 | − | 0.739790i | ||||
\(808\) | −1.60453e9 | − | 9.09977e9i | −0.107006 | − | 0.606863i | ||||
\(809\) | 4.10336e9 | − | 7.10722e9i | 0.272471 | − | 0.471933i | −0.697023 | − | 0.717048i | \(-0.745493\pi\) |
0.969494 | + | 0.245116i | \(0.0788259\pi\) | |||||||
\(810\) | 1.62333e10 | + | 2.81170e10i | 1.07327 | + | 1.85896i | ||||
\(811\) | −5.13564e9 | + | 4.30931e9i | −0.338081 | + | 0.283684i | −0.795983 | − | 0.605319i | \(-0.793046\pi\) |
0.457902 | + | 0.889003i | \(0.348601\pi\) | |||||||
\(812\) | 6.04558e8 | − | 2.20041e8i | 0.0396271 | − | 0.0144231i | ||||
\(813\) | 1.45321e10 | + | 5.28923e9i | 0.948440 | + | 0.345204i | ||||
\(814\) | −6.13963e9 | − | 5.15176e9i | −0.398985 | − | 0.334788i | ||||
\(815\) | 2.06203e8 | − | 1.16943e9i | 0.0133427 | − | 0.0756701i | ||||
\(816\) | 7.80353e9 | 0.502777 | ||||||||
\(817\) | 2.68558e9 | + | 2.13410e9i | 0.172291 | + | 0.136911i | ||||
\(818\) | 1.53141e10 | 0.978264 | ||||||||
\(819\) | 8.42161e9 | − | 4.77613e10i | 0.535675 | − | 3.03797i | ||||
\(820\) | −6.33326e9 | − | 5.31424e9i | −0.401124 | − | 0.336583i | ||||
\(821\) | 1.35079e10 | + | 4.91647e9i | 0.851895 | + | 0.310064i | 0.730813 | − | 0.682578i | \(-0.239141\pi\) |
0.121082 | + | 0.992642i | \(0.461363\pi\) | |||||||
\(822\) | −2.47583e10 | + | 9.01129e9i | −1.55478 | + | 0.565895i | ||||
\(823\) | 2.35715e10 | − | 1.97789e10i | 1.47397 | − | 1.23681i | 0.561620 | − | 0.827395i | \(-0.310178\pi\) |
0.912349 | − | 0.409412i | \(-0.134266\pi\) | |||||||
\(824\) | 2.98080e9 | + | 5.16289e9i | 0.185604 | + | 0.321476i | ||||
\(825\) | 2.41688e9 | − | 4.18616e9i | 0.149853 | − | 0.259554i | ||||
\(826\) | 5.76931e9 | + | 3.27194e10i | 0.356200 | + | 2.02011i | ||||
\(827\) | −2.24595e9 | − | 1.27374e10i | −0.138080 | − | 0.783091i | −0.972665 | − | 0.232212i | \(-0.925404\pi\) |
0.834585 | − | 0.550879i | \(-0.185707\pi\) | |||||||
\(828\) | 1.24596e9 | − | 2.15807e9i | 0.0762779 | − | 0.132117i | ||||
\(829\) | 1.02682e10 | + | 1.77851e10i | 0.625973 | + | 1.08422i | 0.988352 | + | 0.152186i | \(0.0486312\pi\) |
−0.362379 | + | 0.932031i | \(0.618035\pi\) | |||||||
\(830\) | 4.63211e9 | − | 3.88680e9i | 0.281194 | − | 0.235949i | ||||
\(831\) | −1.92357e10 | + | 7.00123e9i | −1.16280 | + | 0.423224i | ||||
\(832\) | −1.36326e9 | − | 4.96186e8i | −0.0820629 | − | 0.0298685i | ||||
\(833\) | −3.11318e10 | − | 2.61227e10i | −1.86615 | − | 1.56589i | ||||
\(834\) | 7.09435e8 | − | 4.02341e9i | 0.0423479 | − | 0.240167i | ||||
\(835\) | 4.01280e9 | 0.238531 | ||||||||
\(836\) | −3.09976e9 | − | 1.03551e9i | −0.183487 | − | 0.0612960i | ||||
\(837\) | −5.55111e10 | −3.27221 | ||||||||
\(838\) | −1.04488e9 | + | 5.92582e9i | −0.0613357 | + | 0.347852i | ||||
\(839\) | 1.87346e10 | + | 1.57202e10i | 1.09516 | + | 0.918948i | 0.997090 | − | 0.0762315i | \(-0.0242888\pi\) |
0.0980695 | + | 0.995180i | \(0.468733\pi\) | |||||||
\(840\) | −2.27462e10 | − | 8.27894e9i | −1.32413 | − | 0.481945i | ||||
\(841\) | 1.61741e10 | − | 5.88689e9i | 0.937636 | − | 0.341271i | ||||
\(842\) | −4.27208e9 | + | 3.58470e9i | −0.246631 | + | 0.206948i | ||||
\(843\) | −9.55467e9 | − | 1.65492e10i | −0.549312 | − | 0.951437i | ||||
\(844\) | 9.18962e6 | − | 1.59169e7i | 0.000526137 | − | 0.000911297i | ||||
\(845\) | −1.85591e9 | − | 1.05254e10i | −0.105818 | − | 0.600122i | ||||
\(846\) | −5.54047e8 | − | 3.14216e9i | −0.0314594 | − | 0.178415i | ||||
\(847\) | 1.35537e10 | − | 2.34757e10i | 0.766418 | − | 1.32747i | ||||
\(848\) | 3.18062e8 | + | 5.50899e8i | 0.0179113 | + | 0.0310232i | ||||
\(849\) | −2.38904e10 | + | 2.00465e10i | −1.33982 | + | 1.12424i | ||||
\(850\) | −5.37300e9 | + | 1.95561e9i | −0.300089 | + | 0.109224i | ||||
\(851\) | 4.00635e9 | + | 1.45819e9i | 0.222841 | + | 0.0811075i | ||||
\(852\) | −8.37225e9 | − | 7.02515e9i | −0.463771 | − | 0.389150i | ||||
\(853\) | −2.40253e9 | + | 1.36254e10i | −0.132540 | + | 0.751673i | 0.844001 | + | 0.536342i | \(0.180194\pi\) |
−0.976541 | + | 0.215331i | \(0.930917\pi\) | |||||||
\(854\) | 8.72761e8 | 0.0479504 | ||||||||
\(855\) | −2.54047e10 | + | 4.68433e10i | −1.39006 | + | 2.56310i | ||||
\(856\) | 8.16425e9 | 0.444896 | ||||||||
\(857\) | −1.08191e9 | + | 6.13581e9i | −0.0587162 | + | 0.332996i | −0.999989 | − | 0.00465043i | \(-0.998520\pi\) |
0.941273 | + | 0.337646i | \(0.109631\pi\) | |||||||
\(858\) | 5.03126e9 | + | 4.22173e9i | 0.271939 | + | 0.228184i | ||||
\(859\) | 1.50462e10 | + | 5.47635e9i | 0.809934 | + | 0.294792i | 0.713596 | − | 0.700557i | \(-0.247065\pi\) |
0.0963372 | + | 0.995349i | \(0.469287\pi\) | |||||||
\(860\) | −2.29587e9 | + | 8.35630e8i | −0.123085 | + | 0.0447991i | ||||
\(861\) | 4.22588e10 | − | 3.54594e10i | 2.25635 | − | 1.89330i | ||||
\(862\) | −1.07130e9 | − | 1.85555e9i | −0.0569688 | − | 0.0986729i | ||||
\(863\) | 3.81297e9 | − | 6.60426e9i | 0.201942 | − | 0.349773i | −0.747212 | − | 0.664585i | \(-0.768608\pi\) |
0.949154 | + | 0.314812i | \(0.101942\pi\) | |||||||
\(864\) | 1.56657e9 | + | 8.88443e9i | 0.0826324 | + | 0.468632i | ||||
\(865\) | 2.98676e7 | + | 1.69388e8i | 0.00156908 | + | 0.00889867i | ||||
\(866\) | −1.32803e10 | + | 2.30021e10i | −0.694856 | + | 1.20353i | ||||
\(867\) | 3.07472e9 | + | 5.32557e9i | 0.160228 | + | 0.277523i | ||||
\(868\) | 1.61716e10 | − | 1.35695e10i | 0.839330 | − | 0.704282i | ||||
\(869\) | −9.49741e9 | + | 3.45677e9i | −0.490948 | + | 0.178691i | ||||
\(870\) | 1.33496e9 | + | 4.85887e8i | 0.0687308 | + | 0.0250160i | ||||
\(871\) | 2.88090e9 | + | 2.41736e9i | 0.147728 | + | 0.123959i | ||||
\(872\) | −7.72161e8 | + | 4.37914e9i | −0.0394367 | + | 0.223656i | ||||
\(873\) | 2.83985e10 | 1.44459 | ||||||||
\(874\) | 1.73789e9 | − | 4.63442e7i | 0.0880506 | − | 0.00234804i | ||||
\(875\) | −2.47890e10 | −1.25093 | ||||||||
\(876\) | 1.48374e9 | − | 8.41472e9i | 0.0745752 | − | 0.422937i | ||||
\(877\) | 2.39270e10 | + | 2.00771e10i | 1.19781 | + | 1.00509i | 0.999690 | + | 0.0249087i | \(0.00792951\pi\) |
0.198125 | + | 0.980177i | \(0.436515\pi\) | |||||||
\(878\) | 7.64150e8 | + | 2.78128e8i | 0.0381020 | + | 0.0138680i | ||||
\(879\) | 5.24403e10 | − | 1.90867e10i | 2.60438 | − | 0.947916i | ||||
\(880\) | 1.78316e9 | − | 1.49625e9i | 0.0882065 | − | 0.0740140i | ||||
\(881\) | 1.02308e10 | + | 1.77202e10i | 0.504072 | + | 0.873079i | 0.999989 | + | 0.00470885i | \(0.00149888\pi\) |
−0.495916 | + | 0.868370i | \(0.665168\pi\) | |||||||
\(882\) | 3.96991e10 | − | 6.87609e10i | 1.94823 | − | 3.37444i | ||||
\(883\) | −5.16708e8 | − | 2.93039e9i | −0.0252570 | − | 0.143240i | 0.969572 | − | 0.244808i | \(-0.0787250\pi\) |
−0.994829 | + | 0.101568i | \(0.967614\pi\) | |||||||
\(884\) | −1.34908e9 | − | 7.65103e9i | −0.0656834 | − | 0.372509i | ||||
\(885\) | −3.66821e10 | + | 6.35353e10i | −1.77891 | + | 3.08116i | ||||
\(886\) | −1.26823e10 | − | 2.19664e10i | −0.612606 | − | 1.06106i | ||||
\(887\) | −6.41995e9 | + | 5.38697e9i | −0.308886 | + | 0.259186i | −0.784032 | − | 0.620721i | \(-0.786840\pi\) |
0.475145 | + | 0.879907i | \(0.342396\pi\) | |||||||
\(888\) | −2.45112e10 | + | 8.92135e9i | −1.17468 | + | 0.427548i | ||||
\(889\) | −2.79353e10 | − | 1.01676e10i | −1.33351 | − | 0.485359i | ||||
\(890\) | 8.52260e9 | + | 7.15131e9i | 0.405235 | + | 0.340033i | ||||
\(891\) | 3.61752e9 | − | 2.05160e10i | 0.171332 | − | 0.971672i | ||||
\(892\) | 1.60692e10 | 0.758085 | ||||||||
\(893\) | 1.66644e9 | − | 1.47577e9i | 0.0783086 | − | 0.0693487i | ||||
\(894\) | −3.24186e10 | −1.51745 | ||||||||
\(895\) | −4.60369e9 | + | 2.61088e10i | −0.214647 | + | 1.21733i | ||||
\(896\) | −2.62815e9 | − | 2.20528e9i | −0.122060 | − | 0.102420i | ||||
\(897\) | −3.28309e9 | − | 1.19495e9i | −0.151883 | − | 0.0552809i | ||||
\(898\) | −8.45572e8 | + | 3.07763e8i | −0.0389658 | + | 0.0141824i | ||||
\(899\) | −9.49100e8 | + | 7.96390e8i | −0.0435665 | + | 0.0365567i | ||||
\(900\) | −5.58549e9 | − | 9.67436e9i | −0.255395 | − | 0.442358i | ||||
\(901\) | −1.70328e9 | + | 2.95017e9i | −0.0775801 | + | 0.134373i | ||||
\(902\) | 9.21184e8 | + | 5.22429e9i | 0.0417949 | + | 0.237031i | ||||
\(903\) | −2.83089e9 | − | 1.60548e10i | −0.127943 | − | 0.725599i | ||||
\(904\) | 5.54640e9 | − | 9.60664e9i | 0.249702 | − | 0.432496i | ||||
\(905\) | −1.72531e10 | − | 2.98833e10i | −0.773745 | − | 1.34017i | ||||
\(906\) | −1.76952e10 | + | 1.48481e10i | −0.790510 | + | 0.663316i | ||||
\(907\) | 3.02650e9 | − | 1.10156e9i | 0.134684 | − | 0.0490210i | −0.273799 | − | 0.961787i | \(-0.588280\pi\) |
0.408483 | + | 0.912766i | \(0.366058\pi\) | |||||||
\(908\) | −9.61904e9 | − | 3.50104e9i | −0.426414 | − | 0.155202i | ||||
\(909\) | 7.40575e10 | + | 6.21416e10i | 3.27036 | + | 2.74416i | ||||
\(910\) | −4.18476e9 | + | 2.37330e10i | −0.184088 | + | 1.04402i | ||||
\(911\) | 1.83254e10 | 0.803045 | 0.401523 | − | 0.915849i | \(-0.368481\pi\) | ||||
0.401523 | + | 0.915849i | \(0.368481\pi\) | |||||||
\(912\) | −7.96277e9 | + | 7.05169e9i | −0.347602 | + | 0.307830i | ||||
\(913\) | −3.87996e9 | −0.168725 | ||||||||
\(914\) | −3.72033e9 | + | 2.10990e10i | −0.161165 | + | 0.914009i | ||||
\(915\) | 1.47632e9 | + | 1.23878e9i | 0.0637098 | + | 0.0534589i | ||||
\(916\) | −1.28497e10 | − | 4.67691e9i | −0.552407 | − | 0.201060i | ||||
\(917\) | −4.33132e10 | + | 1.57647e10i | −1.85493 | + | 0.675140i | ||||
\(918\) | −3.70090e10 | + | 3.10543e10i | −1.57891 | + | 1.32487i | ||||
\(919\) | −1.36544e10 | − | 2.36500e10i | −0.580319 | − | 1.00514i | −0.995441 | − | 0.0953765i | \(-0.969595\pi\) |
0.415122 | − | 0.909766i | \(-0.363739\pi\) | |||||||
\(920\) | −6.19128e8 | + | 1.07236e9i | −0.0262134 | + | 0.0454029i | ||||
\(921\) | −1.28150e10 | − | 7.26777e10i | −0.540520 | − | 3.06544i | ||||
\(922\) | 2.32346e9 | + | 1.31770e10i | 0.0976288 | + | 0.553680i | ||||
\(923\) | −5.44046e9 | + | 9.42316e9i | −0.227735 | + | 0.394449i | ||||
\(924\) | 7.76597e9 | + | 1.34511e10i | 0.323850 | + | 0.560925i | ||||
\(925\) | 1.46411e10 | − | 1.22853e10i | 0.608243 | − | 0.510377i | ||||
\(926\) | 1.76096e10 | − | 6.40938e9i | 0.728805 | − | 0.265263i | ||||
\(927\) | −5.86117e10 | − | 2.13329e10i | −2.41660 | − | 0.879572i | ||||
\(928\) | 1.54245e8 | + | 1.29427e8i | 0.00633567 | + | 0.00531625i | ||||
\(929\) | 5.38811e9 | − | 3.05575e10i | 0.220486 | − | 1.25044i | −0.650642 | − | 0.759385i | \(-0.725500\pi\) |
0.871128 | − | 0.491056i | \(-0.163389\pi\) | |||||||
\(930\) | 4.66153e10 | 1.90037 | ||||||||
\(931\) | 5.53730e10 | − | 1.47663e9i | 2.24892 | − | 0.0599718i | ||||
\(932\) | −1.87704e9 | −0.0759482 | ||||||||
\(933\) | −6.60960e8 | + | 3.74849e9i | −0.0266434 | + | 0.151102i | ||||
\(934\) | −1.99314e9 | − | 1.67244e9i | −0.0800429 | − | 0.0671640i | ||||
\(935\) | 1.17138e10 | + | 4.26347e9i | 0.468659 | + | 0.170578i | ||||
\(936\) | 1.42631e10 | − | 5.19135e9i | 0.568525 | − | 0.206926i | ||||
\(937\) | −2.08073e10 | + | 1.74594e10i | −0.826281 | + | 0.693332i | −0.954434 | − | 0.298423i | \(-0.903540\pi\) |
0.128153 | + | 0.991754i | \(0.459095\pi\) | |||||||
\(938\) | 4.44679e9 | + | 7.70207e9i | 0.175929 | + | 0.304718i | ||||
\(939\) | −3.27601e10 | + | 5.67421e10i | −1.29126 | + | 2.23654i | ||||
\(940\) | 2.75310e8 | + | 1.56136e9i | 0.0108112 | + | 0.0613135i | ||||
\(941\) | −1.90227e9 | − | 1.07883e10i | −0.0744233 | − | 0.422075i | −0.999142 | − | 0.0414235i | \(-0.986811\pi\) |
0.924718 | − | 0.380652i | \(-0.124300\pi\) | |||||||
\(942\) | 9.46495e9 | − | 1.63938e10i | 0.368927 | − | 0.639000i | ||||
\(943\) | −1.41098e9 | − | 2.44389e9i | −0.0547936 | − | 0.0949053i | ||||
\(944\) | −7.96547e9 | + | 6.68382e9i | −0.308184 | + | 0.258597i | ||||
\(945\) | 1.40822e11 | − | 5.12552e10i | 5.42826 | − | 1.97572i | ||||
\(946\) | 1.47316e9 | + | 5.36187e8i | 0.0565759 | + | 0.0205920i | ||||
\(947\) | 1.57336e10 | + | 1.32020e10i | 0.602008 | + | 0.505145i | 0.892091 | − | 0.451857i | \(-0.149238\pi\) |
−0.290082 | + | 0.957002i | \(0.593683\pi\) | |||||||
\(948\) | −5.71190e9 | + | 3.23938e10i | −0.217747 | + | 1.23490i | ||||
\(949\) | −8.50679e9 | −0.323098 | ||||||||
\(950\) | 3.71545e9 | − | 6.85086e9i | 0.140598 | − | 0.259246i | ||||
\(951\) | 3.26385e10 | 1.23055 | ||||||||
\(952\) | 3.19038e9 | − | 1.80935e10i | 0.119843 | − | 0.679663i | ||||
\(953\) | 3.18786e10 | + | 2.67493e10i | 1.19309 | + | 1.00112i | 0.999800 | + | 0.0199814i | \(0.00636070\pi\) |
0.193291 | + | 0.981141i | \(0.438084\pi\) | |||||||
\(954\) | −6.25408e9 | − | 2.27630e9i | −0.233208 | − | 0.0848809i | ||||
\(955\) | 1.53462e10 | − | 5.58558e9i | 0.570152 | − | 0.207518i | ||||
\(956\) | 8.66966e9 | − | 7.27471e9i | 0.320922 | − | 0.269286i | ||||
\(957\) | −4.55781e8 | − | 7.89435e8i | −0.0168099 | − | 0.0291155i | ||||
\(958\) | 1.78874e10 | − | 3.09819e10i | 0.657308 | − | 1.13849i | ||||
\(959\) | 1.07718e10 | + | 6.10896e10i | 0.394386 | + | 2.23667i | ||||
\(960\) | −1.31552e9 | − | 7.46068e9i | −0.0479897 | − | 0.272163i | ||||
\(961\) | −6.57071e9 | + | 1.13808e10i | −0.238825 | + | 0.413657i | ||||
\(962\) | 1.29845e10 | + | 2.24899e10i | 0.470234 | + | 0.814469i | ||||
\(963\) | −6.54344e10 | + | 5.49060e10i | −2.36110 | + | 1.98120i | ||||
\(964\) | 1.43938e10 | − | 5.23892e9i | 0.517495 | − | 0.188353i | ||||
\(965\) | 3.82731e10 | + | 1.39303e10i | 1.37103 | + | 0.499015i | ||||
\(966\) | −6.32928e9 | − | 5.31090e9i | −0.225909 | − | 0.189561i | ||||
\(967\) | 4.18327e9 | − | 2.37245e10i | 0.148773 | − | 0.843732i | −0.815488 | − | 0.578775i | \(-0.803531\pi\) |
0.964260 | − | 0.264957i | \(-0.0853578\pi\) | |||||||
\(968\) | 8.48382e9 | 0.300627 | ||||||||
\(969\) | −5.40250e10 | − | 1.80476e10i | −1.90749 | − | 0.637217i | ||||
\(970\) | −1.41114e10 | −0.496443 | ||||||||
\(971\) | −7.41019e9 | + | 4.20253e10i | −0.259754 | + | 1.47314i | 0.523814 | + | 0.851833i | \(0.324509\pi\) |
−0.783568 | + | 0.621306i | \(0.786603\pi\) | |||||||
\(972\) | −2.24184e10 | − | 1.88113e10i | −0.783019 | − | 0.657031i | ||||
\(973\) | −9.03877e9 | − | 3.28984e9i | −0.314568 | − | 0.114493i | ||||
\(974\) | −2.51533e10 | + | 9.15504e9i | −0.872244 | + | 0.317471i | ||||
\(975\) | −1.19980e10 | + | 1.00675e10i | −0.414564 | + | 0.347860i | ||||
\(976\) | 1.36574e8 | + | 2.36554e8i | 0.00470213 | + | 0.00814433i | ||||
\(977\) | −1.23498e10 | + | 2.13905e10i | −0.423672 | + | 0.733822i | −0.996295 | − | 0.0859967i | \(-0.972593\pi\) |
0.572623 | + | 0.819819i | \(0.305926\pi\) | |||||||
\(978\) | 4.30614e8 | + | 2.44214e9i | 0.0147198 | + | 0.0834802i | ||||
\(979\) | −1.23963e9 | − | 7.03028e9i | −0.0422233 | − | 0.239460i | ||||
\(980\) | −1.97268e10 | + | 3.41678e10i | −0.669523 | + | 1.15965i | ||||
\(981\) | −2.32618e10 | − | 4.02907e10i | −0.786688 | − | 1.36258i | ||||
\(982\) | 1.82260e10 | − | 1.52934e10i | 0.614186 | − | 0.515364i | ||||
\(983\) | −4.41598e10 | + | 1.60729e10i | −1.48283 | + | 0.539704i | −0.951550 | − | 0.307495i | \(-0.900509\pi\) |
−0.531276 | + | 0.847199i | \(0.678287\pi\) | |||||||
\(984\) | 1.62238e10 | + | 5.90499e9i | 0.542838 | + | 0.197577i | ||||
\(985\) | −2.58279e10 | − | 2.16722e10i | −0.861118 | − | 0.722564i | ||||
\(986\) | −1.87241e8 | + | 1.06190e9i | −0.00622061 | + | 0.0352788i | ||||
\(987\) | −1.05789e10 | −0.350213 | ||||||||
\(988\) | 8.29050e9 | + | 6.58806e9i | 0.273484 | + | 0.217324i | ||||
\(989\) | −8.33949e8 | −0.0274127 | ||||||||
\(990\) | −4.22904e9 | + | 2.39841e10i | −0.138522 | + | 0.785598i | ||||
\(991\) | 2.32918e10 | + | 1.95441e10i | 0.760229 | + | 0.637908i | 0.938186 | − | 0.346130i | \(-0.112505\pi\) |
−0.177958 | + | 0.984038i | \(0.556949\pi\) | |||||||
\(992\) | 6.20851e9 | + | 2.25971e9i | 0.201928 | + | 0.0734958i | ||||
\(993\) | −1.35867e10 | + | 4.94517e9i | −0.440345 | + | 0.160272i | ||||
\(994\) | −1.97117e10 | + | 1.65400e10i | −0.636606 | + | 0.534176i | ||||
\(995\) | −2.07001e10 | − | 3.58537e10i | −0.666181 | − | 1.15386i | ||||
\(996\) | −6.31377e9 | + | 1.09358e10i | −0.202479 | + | 0.350705i | ||||
\(997\) | −4.63855e8 | − | 2.63065e9i | −0.0148234 | − | 0.0840680i | 0.976499 | − | 0.215524i | \(-0.0691459\pi\) |
−0.991322 | + | 0.131456i | \(0.958035\pi\) | |||||||
\(998\) | −1.32685e9 | − | 7.52495e9i | −0.0422538 | − | 0.239633i | ||||
\(999\) | 8.07443e10 | − | 1.39853e11i | 2.56232 | − | 4.43806i |
(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 | 38.8.e.b.17.1 | yes | 36 | |
19.9 | even | 9 | inner | 38.8.e.b.9.1 | ✓ | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.8.e.b.9.1 | ✓ | 36 | 19.9 | even | 9 | inner | |
38.8.e.b.17.1 | yes | 36 | 1.1 | even | 1 | trivial |