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: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Character | \(\chi\) | \(=\) | 38.17 |
Dual form | 38.8.e.a.9.2 |
$q$-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 | ||||
\(3\) | −21.2048 | − | 17.7929i | −0.453430 | − | 0.380473i | 0.387277 | − | 0.921963i | \(-0.373416\pi\) |
−0.840707 | + | 0.541491i | \(0.817860\pi\) | |||||||
\(4\) | −60.1403 | − | 21.8893i | −0.469846 | − | 0.171010i | ||||
\(5\) | 194.773 | − | 70.8916i | 0.696841 | − | 0.253629i | 0.0307796 | − | 0.999526i | \(-0.490201\pi\) |
0.666062 | + | 0.745897i | \(0.267979\pi\) | |||||||
\(6\) | −169.638 | + | 142.344i | −0.320623 | + | 0.269035i | ||||
\(7\) | −485.627 | − | 841.131i | −0.535131 | − | 0.926874i | −0.999157 | − | 0.0410525i | \(-0.986929\pi\) |
0.464026 | − | 0.885822i | \(-0.346404\pi\) | |||||||
\(8\) | −256.000 | + | 443.405i | −0.176777 | + | 0.306186i | ||||
\(9\) | −246.714 | − | 1399.18i | −0.112809 | − | 0.639772i | ||||
\(10\) | −287.941 | − | 1632.99i | −0.0910549 | − | 0.516398i | ||||
\(11\) | −2515.69 | + | 4357.30i | −0.569878 | + | 0.987058i | 0.426699 | + | 0.904394i | \(0.359676\pi\) |
−0.996577 | + | 0.0826643i | \(0.973657\pi\) | |||||||
\(12\) | 885.789 | + | 1534.23i | 0.147978 | + | 0.256305i | ||||
\(13\) | −5805.68 | + | 4871.54i | −0.732911 | + | 0.614985i | −0.930923 | − | 0.365214i | \(-0.880996\pi\) |
0.198013 | + | 0.980199i | \(0.436551\pi\) | |||||||
\(14\) | −7301.45 | + | 2657.51i | −0.711149 | + | 0.258837i | ||||
\(15\) | −5391.49 | − | 1962.34i | −0.412468 | − | 0.150126i | ||||
\(16\) | 3137.72 | + | 2632.86i | 0.191511 | + | 0.160697i | ||||
\(17\) | −3730.53 | + | 21156.9i | −0.184162 | + | 1.04443i | 0.742866 | + | 0.669440i | \(0.233466\pi\) |
−0.927028 | + | 0.374993i | \(0.877645\pi\) | |||||||
\(18\) | −11366.1 | −0.459366 | ||||||||
\(19\) | 28493.1 | − | 9056.32i | 0.953019 | − | 0.302910i | ||||
\(20\) | −13265.5 | −0.370781 | ||||||||
\(21\) | −4668.57 | + | 26476.8i | −0.110006 | + | 0.623875i | ||||
\(22\) | 30834.0 | + | 25872.8i | 0.617378 | + | 0.518041i | ||||
\(23\) | −73884.0 | − | 26891.6i | −1.26620 | − | 0.460860i | −0.380356 | − | 0.924840i | \(-0.624199\pi\) |
−0.885846 | + | 0.463980i | \(0.846421\pi\) | |||||||
\(24\) | 13317.9 | − | 4847.32i | 0.196651 | − | 0.0715752i | ||||
\(25\) | −26936.3 | + | 22602.2i | −0.344785 | + | 0.289309i | ||||
\(26\) | 30315.1 | + | 52507.3i | 0.338261 | + | 0.585885i | ||||
\(27\) | −49933.1 | + | 86486.7i | −0.488220 | + | 0.845622i | ||||
\(28\) | 10794.0 | + | 61216.0i | 0.0929245 | + | 0.527001i | ||||
\(29\) | −11608.1 | − | 65832.6i | −0.0883826 | − | 0.501243i | −0.996575 | − | 0.0826904i | \(-0.973649\pi\) |
0.908193 | − | 0.418552i | \(-0.137462\pi\) | |||||||
\(30\) | −22950.0 | + | 39750.6i | −0.155188 | + | 0.268794i | ||||
\(31\) | −147886. | − | 256147.i | −0.891584 | − | 1.54427i | −0.837976 | − | 0.545706i | \(-0.816261\pi\) |
−0.0536075 | − | 0.998562i | \(-0.517072\pi\) | |||||||
\(32\) | 25101.7 | − | 21062.9i | 0.135419 | − | 0.113630i | ||||
\(33\) | 130874. | − | 47634.2i | 0.633948 | − | 0.230738i | ||||
\(34\) | 161501. | + | 58781.7i | 0.704693 | + | 0.256487i | ||||
\(35\) | −154216. | − | 129403.i | −0.607984 | − | 0.510159i | ||||
\(36\) | −15789.7 | + | 89547.7i | −0.0564046 | + | 0.319886i | ||||
\(37\) | 156076. | 0.506558 | 0.253279 | − | 0.967393i | \(-0.418491\pi\) | ||||
0.253279 | + | 0.967393i | \(0.418491\pi\) | |||||||
\(38\) | −31767.7 | − | 237062.i | −0.0939167 | − | 0.700842i | ||||
\(39\) | 209787. | 0.566308 | ||||||||
\(40\) | −18428.2 | + | 104512.i | −0.0455274 | + | 0.258199i | ||||
\(41\) | −113672. | − | 95381.9i | −0.257578 | − | 0.216134i | 0.504849 | − | 0.863208i | \(-0.331548\pi\) |
−0.762427 | + | 0.647074i | \(0.775993\pi\) | |||||||
\(42\) | 202111. | + | 73562.3i | 0.420937 | + | 0.153208i | ||||
\(43\) | 401253. | − | 146044.i | 0.769624 | − | 0.280120i | 0.0727851 | − | 0.997348i | \(-0.476811\pi\) |
0.696839 | + | 0.717227i | \(0.254589\pi\) | |||||||
\(44\) | 246672. | − | 206983.i | 0.436552 | − | 0.366311i | ||||
\(45\) | −147243. | − | 255033.i | −0.240875 | − | 0.417208i | ||||
\(46\) | −314503. | + | 544735.i | −0.476400 | + | 0.825150i | ||||
\(47\) | −170080. | − | 964573.i | −0.238952 | − | 1.35517i | −0.834128 | − | 0.551570i | \(-0.814029\pi\) |
0.595176 | − | 0.803595i | \(-0.297082\pi\) | |||||||
\(48\) | −19688.4 | − | 111659.i | −0.0256960 | − | 0.145730i | ||||
\(49\) | −59896.5 | + | 103744.i | −0.0727303 | + | 0.125973i | ||||
\(50\) | 140651. | + | 243615.i | 0.159129 | + | 0.275619i | ||||
\(51\) | 455549. | − | 382251.i | 0.480883 | − | 0.403508i | ||||
\(52\) | 455790. | − | 165894.i | 0.449524 | − | 0.163613i | ||||
\(53\) | 1.34350e6 | + | 488993.i | 1.23957 | + | 0.451166i | 0.876865 | − | 0.480738i | \(-0.159631\pi\) |
0.362705 | + | 0.931904i | \(0.381853\pi\) | |||||||
\(54\) | 612016. | + | 513542.i | 0.528914 | + | 0.443811i | ||||
\(55\) | −181092. | + | 1.02702e6i | −0.146768 | + | 0.832360i | ||||
\(56\) | 497283. | 0.378395 | ||||||||
\(57\) | −765329. | − | 314938.i | −0.547376 | − | 0.225249i | ||||
\(58\) | −534786. | −0.359900 | ||||||||
\(59\) | 6167.73 | − | 34978.9i | 0.00390970 | − | 0.0221730i | −0.982790 | − | 0.184724i | \(-0.940861\pi\) |
0.986700 | + | 0.162551i | \(0.0519721\pi\) | |||||||
\(60\) | 281292. | + | 236032.i | 0.168123 | + | 0.141072i | ||||
\(61\) | −2.16873e6 | − | 789352.i | −1.22335 | − | 0.445263i | −0.352034 | − | 0.935987i | \(-0.614510\pi\) |
−0.871315 | + | 0.490725i | \(0.836732\pi\) | |||||||
\(62\) | −2.22348e6 | + | 809282.i | −1.18485 | + | 0.431250i | ||||
\(63\) | −1.05709e6 | + | 887000.i | −0.532621 | + | 0.446922i | ||||
\(64\) | −131072. | − | 227023.i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −785438. | + | 1.36042e6i | −0.354744 | + | 0.614435i | ||||
\(66\) | −193476. | − | 1.09726e6i | −0.0828368 | − | 0.469791i | ||||
\(67\) | −149074. | − | 845439.i | −0.0605535 | − | 0.343416i | −1.00000 | 0.000719600i | \(-0.999771\pi\) | |
0.939446 | − | 0.342696i | \(-0.111340\pi\) | |||||||
\(68\) | 687465. | − | 1.19072e6i | 0.265136 | − | 0.459229i | ||||
\(69\) | 1.08822e6 | + | 1.88484e6i | 0.398789 | + | 0.690723i | ||||
\(70\) | −1.23373e6 | + | 1.03522e6i | −0.429909 | + | 0.360737i | ||||
\(71\) | −4.46178e6 | + | 1.62395e6i | −1.47946 | + | 0.538480i | −0.950652 | − | 0.310261i | \(-0.899584\pi\) |
−0.528810 | + | 0.848740i | \(0.677361\pi\) | |||||||
\(72\) | 683563. | + | 248797.i | 0.215832 | + | 0.0785563i | ||||
\(73\) | 997664. | + | 837140.i | 0.300161 | + | 0.251865i | 0.780411 | − | 0.625266i | \(-0.215010\pi\) |
−0.480250 | + | 0.877132i | \(0.659454\pi\) | |||||||
\(74\) | 216818. | − | 1.22964e6i | 0.0621991 | − | 0.352749i | ||||
\(75\) | 973340. | 0.266410 | ||||||||
\(76\) | −1.91182e6 | − | 79043.2i | −0.499573 | − | 0.0206546i | ||||
\(77\) | 4.88674e6 | 1.21984 | ||||||||
\(78\) | 291433. | − | 1.65280e6i | 0.0695358 | − | 0.394357i | ||||
\(79\) | −2.74956e6 | − | 2.30715e6i | −0.627433 | − | 0.526479i | 0.272697 | − | 0.962100i | \(-0.412084\pi\) |
−0.900130 | + | 0.435621i | \(0.856529\pi\) | |||||||
\(80\) | 797790. | + | 290372.i | 0.174210 | + | 0.0634074i | ||||
\(81\) | −322153. | + | 117254.i | −0.0673541 | + | 0.0245149i | ||||
\(82\) | −909374. | + | 763056.i | −0.182135 | + | 0.152830i | ||||
\(83\) | 1.38264e6 | + | 2.39480e6i | 0.265421 | + | 0.459722i | 0.967674 | − | 0.252205i | \(-0.0811559\pi\) |
−0.702253 | + | 0.711927i | \(0.747823\pi\) | |||||||
\(84\) | 860327. | − | 1.49013e6i | 0.158375 | − | 0.274313i | ||||
\(85\) | 773239. | + | 4.38525e6i | 0.136567 | + | 0.774513i | ||||
\(86\) | −593189. | − | 3.36414e6i | −0.100565 | − | 0.570334i | ||||
\(87\) | −925209. | + | 1.60251e6i | −0.150634 | + | 0.260906i | ||||
\(88\) | −1.28803e6 | − | 2.23094e6i | −0.201482 | − | 0.348978i | ||||
\(89\) | 4.83372e6 | − | 4.05597e6i | 0.726802 | − | 0.609859i | −0.202456 | − | 0.979291i | \(-0.564892\pi\) |
0.929258 | + | 0.369432i | \(0.120448\pi\) | |||||||
\(90\) | −2.21382e6 | + | 805763.i | −0.320105 | + | 0.116509i | ||||
\(91\) | 6.91700e6 | + | 2.51758e6i | 0.962217 | + | 0.350218i | ||||
\(92\) | 3.85477e6 | + | 3.23454e6i | 0.516109 | + | 0.433067i | ||||
\(93\) | −1.42170e6 | + | 8.06288e6i | −0.183281 | + | 1.03944i | ||||
\(94\) | −7.83562e6 | −0.973030 | ||||||||
\(95\) | 4.90766e6 | − | 3.78384e6i | 0.587276 | − | 0.452794i | ||||
\(96\) | −907048. | −0.104636 | ||||||||
\(97\) | 439732. | − | 2.49384e6i | 0.0489200 | − | 0.277439i | −0.950529 | − | 0.310636i | \(-0.899458\pi\) |
0.999449 | + | 0.0331972i | \(0.0105689\pi\) | |||||||
\(98\) | 734134. | + | 616012.i | 0.0787924 | + | 0.0661147i | ||||
\(99\) | 6.71731e6 | + | 2.44490e6i | 0.695780 | + | 0.253243i | ||||
\(100\) | 2.11471e6 | − | 769690.i | 0.211471 | − | 0.0769690i | ||||
\(101\) | 5.01180e6 | − | 4.20540e6i | 0.484026 | − | 0.406146i | −0.367853 | − | 0.929884i | \(-0.619907\pi\) |
0.851880 | + | 0.523738i | \(0.175463\pi\) | |||||||
\(102\) | −2.37871e6 | − | 4.12004e6i | −0.221942 | − | 0.384415i | ||||
\(103\) | 8.99186e6 | − | 1.55744e7i | 0.810810 | − | 1.40436i | −0.101488 | − | 0.994837i | \(-0.532360\pi\) |
0.912298 | − | 0.409527i | \(-0.134306\pi\) | |||||||
\(104\) | −673812. | − | 3.82138e6i | −0.0587384 | − | 0.333122i | ||||
\(105\) | 967669. | + | 5.48792e6i | 0.0815764 | + | 0.462642i | ||||
\(106\) | 5.71888e6 | − | 9.90538e6i | 0.466380 | − | 0.807794i | ||||
\(107\) | −9.15466e6 | − | 1.58563e7i | −0.722436 | − | 1.25130i | −0.960021 | − | 0.279928i | \(-0.909689\pi\) |
0.237585 | − | 0.971367i | \(-0.423644\pi\) | |||||||
\(108\) | 4.89613e6 | − | 4.10834e6i | 0.373998 | − | 0.313822i | ||||
\(109\) | −2.00163e7 | + | 7.28535e6i | −1.48044 | + | 0.538838i | −0.950914 | − | 0.309454i | \(-0.899854\pi\) |
−0.529530 | + | 0.848291i | \(0.677632\pi\) | |||||||
\(110\) | 7.83980e6 | + | 2.85346e6i | 0.561605 | + | 0.204407i | ||||
\(111\) | −3.30955e6 | − | 2.77705e6i | −0.229688 | − | 0.192731i | ||||
\(112\) | 690818. | − | 3.91782e6i | 0.0464623 | − | 0.263501i | ||||
\(113\) | −4.15373e6 | −0.270809 | −0.135405 | − | 0.990790i | \(-0.543233\pi\) | ||||
−0.135405 | + | 0.990790i | \(0.543233\pi\) | |||||||
\(114\) | −3.54441e6 | + | 5.59210e6i | −0.224067 | + | 0.353515i | ||||
\(115\) | −1.62970e7 | −0.999229 | ||||||||
\(116\) | −742916. | + | 4.21329e6i | −0.0441913 | + | 0.250621i | ||||
\(117\) | 8.24851e6 | + | 6.92132e6i | 0.476130 | + | 0.399520i | ||||
\(118\) | −267012. | − | 97184.4i | −0.0149604 | − | 0.00544515i | ||||
\(119\) | 1.96074e7 | − | 7.13650e6i | 1.06661 | − | 0.388214i | ||||
\(120\) | 2.25034e6 | − | 1.88826e6i | 0.118881 | − | 0.0997531i | ||||
\(121\) | −2.91376e6 | − | 5.04679e6i | −0.149522 | − | 0.258980i | ||||
\(122\) | −9.23164e6 | + | 1.59897e7i | −0.460277 | + | 0.797224i | ||||
\(123\) | 713262. | + | 4.04511e6i | 0.0345606 | + | 0.196003i | ||||
\(124\) | 3.28707e6 | + | 1.86419e7i | 0.154822 | + | 0.878039i | ||||
\(125\) | −1.17408e7 | + | 2.03356e7i | −0.537664 | + | 0.931262i | ||||
\(126\) | 5.51971e6 | + | 9.56041e6i | 0.245821 | + | 0.425775i | ||||
\(127\) | −6.60114e6 | + | 5.53901e6i | −0.285960 | + | 0.239949i | −0.774472 | − | 0.632608i | \(-0.781984\pi\) |
0.488512 | + | 0.872557i | \(0.337540\pi\) | |||||||
\(128\) | −1.97068e6 | + | 717268.i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | −1.11071e7 | − | 4.04264e6i | −0.455549 | − | 0.165806i | ||||
\(130\) | 9.62688e6 | + | 8.07791e6i | 0.384312 | + | 0.322476i | ||||
\(131\) | 2.43523e6 | − | 1.38109e7i | 0.0946434 | − | 0.536749i | −0.900213 | − | 0.435451i | \(-0.856589\pi\) |
0.994856 | − | 0.101299i | \(-0.0322998\pi\) | |||||||
\(132\) | −8.91347e6 | −0.337317 | ||||||||
\(133\) | −2.14546e7 | − | 1.95684e7i | −0.790750 | − | 0.721232i | ||||
\(134\) | −6.86785e6 | −0.246578 | ||||||||
\(135\) | −3.59445e6 | + | 2.03851e7i | −0.125737 | + | 0.713091i | ||||
\(136\) | −8.42605e6 | − | 7.07030e6i | −0.287235 | − | 0.241019i | ||||
\(137\) | 4.59807e7 | + | 1.67356e7i | 1.52776 | + | 0.556057i | 0.963071 | − | 0.269249i | \(-0.0867755\pi\) |
0.564685 | + | 0.825307i | \(0.308998\pi\) | |||||||
\(138\) | 1.63614e7 | − | 5.95507e6i | 0.529961 | − | 0.192890i | ||||
\(139\) | −2.15641e7 | + | 1.80944e7i | −0.681050 | + | 0.571469i | −0.916313 | − | 0.400463i | \(-0.868849\pi\) |
0.235263 | + | 0.971932i | \(0.424405\pi\) | |||||||
\(140\) | 6.44208e6 | + | 1.11580e7i | 0.198417 | + | 0.343668i | ||||
\(141\) | −1.35561e7 | + | 2.34798e7i | −0.407256 | + | 0.705387i | ||||
\(142\) | 6.59602e6 | + | 3.74079e7i | 0.193318 | + | 1.09636i | ||||
\(143\) | −6.62148e6 | − | 3.75523e7i | −0.189356 | − | 1.07389i | ||||
\(144\) | 2.90973e6 | − | 5.03980e6i | 0.0812053 | − | 0.140652i | ||||
\(145\) | −6.92792e6 | − | 1.19995e7i | −0.188719 | − | 0.326870i | ||||
\(146\) | 7.98132e6 | − | 6.69712e6i | 0.212246 | − | 0.178096i | ||||
\(147\) | 3.11600e6 | − | 1.13413e6i | 0.0809072 | − | 0.0294478i | ||||
\(148\) | −9.38644e6 | − | 3.41639e6i | −0.238004 | − | 0.0866265i | ||||
\(149\) | 7.49212e6 | + | 6.28663e6i | 0.185546 | + | 0.155692i | 0.730830 | − | 0.682560i | \(-0.239133\pi\) |
−0.545283 | + | 0.838252i | \(0.683578\pi\) | |||||||
\(150\) | 1.35215e6 | − | 7.66842e6i | 0.0327119 | − | 0.185518i | ||||
\(151\) | −4.29355e7 | −1.01484 | −0.507420 | − | 0.861699i | \(-0.669401\pi\) | ||||
−0.507420 | + | 0.861699i | \(0.669401\pi\) | |||||||
\(152\) | −3.27861e6 | + | 1.49524e7i | −0.0757246 | + | 0.345349i | ||||
\(153\) | 3.05227e7 | 0.688975 | ||||||||
\(154\) | 6.78859e6 | − | 3.85000e7i | 0.149781 | − | 0.849451i | ||||
\(155\) | −4.69629e7 | − | 3.94066e7i | −1.01296 | − | 0.849978i | ||||
\(156\) | −1.26167e7 | − | 4.59209e6i | −0.266078 | − | 0.0968444i | ||||
\(157\) | 1.71918e7 | − | 6.25732e6i | 0.354547 | − | 0.129044i | −0.158606 | − | 0.987342i | \(-0.550700\pi\) |
0.513152 | + | 0.858298i | \(0.328478\pi\) | |||||||
\(158\) | −2.19964e7 | + | 1.84572e7i | −0.443662 | + | 0.372277i | ||||
\(159\) | −1.97880e7 | − | 3.42738e7i | −0.390401 | − | 0.676195i | ||||
\(160\) | 3.39596e6 | − | 5.88198e6i | 0.0655455 | − | 0.113528i | ||||
\(161\) | 1.32607e7 | + | 7.52054e7i | 0.250425 | + | 1.42023i | ||||
\(162\) | 476251. | + | 2.70095e6i | 0.00880103 | + | 0.0499131i | ||||
\(163\) | 4.99056e7 | − | 8.64391e7i | 0.902595 | − | 1.56334i | 0.0784807 | − | 0.996916i | \(-0.474993\pi\) |
0.824114 | − | 0.566424i | \(-0.191674\pi\) | |||||||
\(164\) | 4.74841e6 | + | 8.22450e6i | 0.0840611 | + | 0.145598i | ||||
\(165\) | 2.21138e7 | − | 1.85557e7i | 0.383239 | − | 0.321576i | ||||
\(166\) | 2.07880e7 | − | 7.56623e6i | 0.352724 | − | 0.128381i | ||||
\(167\) | 3.82244e7 | + | 1.39125e7i | 0.635086 | + | 0.231153i | 0.639444 | − | 0.768838i | \(-0.279165\pi\) |
−0.00435732 | + | 0.999991i | \(0.501387\pi\) | |||||||
\(168\) | −1.05448e7 | − | 8.84812e6i | −0.171575 | − | 0.143969i | ||||
\(169\) | −922203. | + | 5.23007e6i | −0.0146968 | + | 0.0833497i | ||||
\(170\) | 3.56232e7 | 0.556112 | ||||||||
\(171\) | −1.97011e7 | − | 3.76327e7i | −0.301303 | − | 0.575544i | ||||
\(172\) | −2.73283e7 | −0.409509 | ||||||||
\(173\) | −1.47533e7 | + | 8.36702e7i | −0.216635 | + | 1.22860i | 0.661413 | + | 0.750022i | \(0.269957\pi\) |
−0.878047 | + | 0.478574i | \(0.841154\pi\) | |||||||
\(174\) | 1.13400e7 | + | 9.51541e6i | 0.163189 | + | 0.136932i | ||||
\(175\) | 3.20925e7 | + | 1.16807e7i | 0.452658 | + | 0.164754i | ||||
\(176\) | −1.93657e7 | + | 7.04852e6i | −0.267755 | + | 0.0974549i | ||||
\(177\) | −753164. | + | 631979.i | −0.0102090 | + | 0.00856636i | ||||
\(178\) | −2.52399e7 | − | 4.37167e7i | −0.335442 | − | 0.581002i | ||||
\(179\) | 8.39157e6 | − | 1.45346e7i | 0.109360 | − | 0.189417i | −0.806151 | − | 0.591709i | \(-0.798453\pi\) |
0.915511 | + | 0.402293i | \(0.131787\pi\) | |||||||
\(180\) | 3.27277e6 | + | 1.85608e7i | 0.0418275 | + | 0.237216i | ||||
\(181\) | −9.47663e6 | − | 5.37446e7i | −0.118790 | − | 0.673690i | −0.984804 | − | 0.173670i | \(-0.944437\pi\) |
0.866014 | − | 0.500020i | \(-0.166674\pi\) | |||||||
\(182\) | 2.94437e7 | − | 5.09979e7i | 0.362028 | − | 0.627051i | ||||
\(183\) | 3.19425e7 | + | 5.53261e7i | 0.385292 | + | 0.667346i | ||||
\(184\) | 3.08382e7 | − | 2.58763e7i | 0.364944 | − | 0.306224i | ||||
\(185\) | 3.03993e7 | − | 1.10645e7i | 0.352990 | − | 0.128478i | ||||
\(186\) | 6.15481e7 | + | 2.24017e7i | 0.701325 | + | 0.255261i | ||||
\(187\) | −8.28020e7 | − | 6.94791e7i | −0.925966 | − | 0.776978i | ||||
\(188\) | −1.08851e7 | + | 6.17327e7i | −0.119476 | + | 0.677583i | ||||
\(189\) | 9.69956e7 | 1.04505 | ||||||||
\(190\) | −2.29932e7 | − | 4.39213e7i | −0.243199 | − | 0.464556i | ||||
\(191\) | 4.69545e7 | 0.487596 | 0.243798 | − | 0.969826i | \(-0.421607\pi\) | ||||
0.243798 | + | 0.969826i | \(0.421607\pi\) | |||||||
\(192\) | −1.26006e6 | + | 7.14614e6i | −0.0128480 | + | 0.0728648i | ||||
\(193\) | −6.32263e7 | − | 5.30532e7i | −0.633064 | − | 0.531204i | 0.268816 | − | 0.963192i | \(-0.413368\pi\) |
−0.901879 | + | 0.431988i | \(0.857812\pi\) | |||||||
\(194\) | −1.90368e7 | − | 6.92882e6i | −0.187192 | − | 0.0681323i | ||||
\(195\) | 4.08609e7 | − | 1.48722e7i | 0.394627 | − | 0.143632i | ||||
\(196\) | 5.87308e6 | − | 4.92810e6i | 0.0557146 | − | 0.0467501i | ||||
\(197\) | 9.25722e7 | + | 1.60340e8i | 0.862678 | + | 1.49420i | 0.869335 | + | 0.494224i | \(0.164548\pi\) |
−0.00665701 | + | 0.999978i | \(0.502119\pi\) | |||||||
\(198\) | 2.85936e7 | − | 4.95256e7i | 0.261783 | − | 0.453421i | ||||
\(199\) | 2.12361e6 | + | 1.20436e7i | 0.0191025 | + | 0.108335i | 0.992868 | − | 0.119218i | \(-0.0380386\pi\) |
−0.973766 | + | 0.227553i | \(0.926927\pi\) | |||||||
\(200\) | −3.12625e6 | − | 1.77299e7i | −0.0276324 | − | 0.156711i | ||||
\(201\) | −1.18818e7 | + | 2.05798e7i | −0.103204 | + | 0.178754i | ||||
\(202\) | −2.61698e7 | − | 4.53274e7i | −0.223393 | − | 0.386928i | ||||
\(203\) | −4.97367e7 | + | 4.17340e7i | −0.417293 | + | 0.350150i | ||||
\(204\) | −3.57640e7 | + | 1.30170e7i | −0.294945 | + | 0.107351i | ||||
\(205\) | −2.89020e7 | − | 1.05195e7i | −0.234309 | − | 0.0852815i | ||||
\(206\) | −1.10211e8 | − | 9.24777e7i | −0.878391 | − | 0.737058i | ||||
\(207\) | −1.93980e7 | + | 1.10012e8i | −0.152006 | + | 0.862070i | ||||
\(208\) | −3.10426e7 | −0.239187 | ||||||||
\(209\) | −3.22186e7 | + | 1.46936e8i | −0.244115 | + | 1.11331i | ||||
\(210\) | 4.45807e7 | 0.332184 | ||||||||
\(211\) | 3.88462e6 | − | 2.20308e7i | 0.0284682 | − | 0.161451i | −0.967260 | − | 0.253789i | \(-0.918323\pi\) |
0.995728 | + | 0.0923383i | \(0.0294341\pi\) | |||||||
\(212\) | −7.00946e7 | − | 5.88164e7i | −0.505253 | − | 0.423958i | ||||
\(213\) | 1.23506e8 | + | 4.49525e7i | 0.875709 | + | 0.318732i | ||||
\(214\) | −1.37641e8 | + | 5.00973e7i | −0.960063 | + | 0.349435i | ||||
\(215\) | 6.78000e7 | − | 5.68909e7i | 0.465259 | − | 0.390399i | ||||
\(216\) | −2.55658e7 | − | 4.42812e7i | −0.172612 | − | 0.298973i | ||||
\(217\) | −1.43635e8 | + | 2.48784e8i | −0.954228 | + | 1.65277i | ||||
\(218\) | 2.95910e7 | + | 1.67819e8i | 0.193447 | + | 1.09709i | ||||
\(219\) | −6.26010e6 | − | 3.55028e7i | −0.0402742 | − | 0.228406i | ||||
\(220\) | 3.33718e7 | − | 5.78016e7i | 0.211300 | − | 0.365983i | ||||
\(221\) | −8.14084e7 | − | 1.41003e8i | −0.507337 | − | 0.878733i | ||||
\(222\) | −2.64764e7 | + | 2.22164e7i | −0.162414 | + | 0.136282i | ||||
\(223\) | −4.82326e7 | + | 1.75552e7i | −0.291255 | + | 0.106008i | −0.483516 | − | 0.875336i | \(-0.660640\pi\) |
0.192261 | + | 0.981344i | \(0.438418\pi\) | |||||||
\(224\) | −2.99067e7 | − | 1.08852e7i | −0.177787 | − | 0.0647093i | ||||
\(225\) | 3.82702e7 | + | 3.21125e7i | 0.223987 | + | 0.187947i | ||||
\(226\) | −5.77030e6 | + | 3.27250e7i | −0.0332521 | + | 0.188582i | ||||
\(227\) | −4.46035e7 | −0.253092 | −0.126546 | − | 0.991961i | \(-0.540389\pi\) | ||||
−0.126546 | + | 0.991961i | \(0.540389\pi\) | |||||||
\(228\) | 3.91333e7 | + | 3.56930e7i | 0.218663 | + | 0.199439i | ||||
\(229\) | −2.86036e8 | −1.57397 | −0.786986 | − | 0.616970i | \(-0.788360\pi\) | ||||
−0.786986 | + | 0.616970i | \(0.788360\pi\) | |||||||
\(230\) | −2.26395e7 | + | 1.28395e8i | −0.122693 | + | 0.695827i | ||||
\(231\) | −1.03622e8 | − | 8.69496e7i | −0.553111 | − | 0.464115i | ||||
\(232\) | 3.21622e7 | + | 1.17061e7i | 0.169098 | + | 0.0615465i | ||||
\(233\) | 2.07342e8 | − | 7.54662e7i | 1.07384 | − | 0.390847i | 0.256230 | − | 0.966616i | \(-0.417519\pi\) |
0.817612 | + | 0.575769i | \(0.195297\pi\) | |||||||
\(234\) | 6.59881e7 | − | 5.53706e7i | 0.336674 | − | 0.282503i | ||||
\(235\) | −1.01507e8 | − | 1.75815e8i | −0.510222 | − | 0.883730i | ||||
\(236\) | −1.13659e6 | + | 1.96864e6i | −0.00562876 | + | 0.00974930i | ||||
\(237\) | 1.72528e7 | + | 9.78454e7i | 0.0841860 | + | 0.477443i | ||||
\(238\) | −2.89864e7 | − | 1.64390e8i | −0.139372 | − | 0.790416i | ||||
\(239\) | 4.00103e7 | − | 6.92998e7i | 0.189574 | − | 0.328352i | −0.755534 | − | 0.655109i | \(-0.772623\pi\) |
0.945108 | + | 0.326757i | \(0.105956\pi\) | |||||||
\(240\) | −1.17504e7 | − | 2.03523e7i | −0.0548674 | − | 0.0950330i | ||||
\(241\) | −1.05378e8 | + | 8.84226e7i | −0.484942 | + | 0.406915i | −0.852210 | − | 0.523200i | \(-0.824738\pi\) |
0.367267 | + | 0.930115i | \(0.380293\pi\) | |||||||
\(242\) | −4.38087e7 | + | 1.59451e7i | −0.198704 | + | 0.0723223i | ||||
\(243\) | 2.14153e8 | + | 7.79455e7i | 0.957421 | + | 0.348473i | ||||
\(244\) | 1.13150e8 | + | 9.49438e7i | 0.498642 | + | 0.418410i | ||||
\(245\) | −4.31166e6 | + | 2.44527e7i | −0.0187311 | + | 0.106229i | ||||
\(246\) | 3.28601e7 | 0.140733 | ||||||||
\(247\) | −1.21303e8 | + | 1.91383e8i | −0.512193 | + | 0.808099i | ||||
\(248\) | 1.51436e8 | 0.630445 | ||||||||
\(249\) | 1.32919e7 | − | 7.53824e7i | 0.0545621 | − | 0.309437i | ||||
\(250\) | 1.43903e8 | + | 1.20749e8i | 0.582479 | + | 0.488758i | ||||
\(251\) | −5.63736e7 | − | 2.05183e7i | −0.225018 | − | 0.0819000i | 0.227051 | − | 0.973883i | \(-0.427092\pi\) |
−0.452069 | + | 0.891983i | \(0.649314\pi\) | |||||||
\(252\) | 8.29893e7 | − | 3.02056e7i | 0.326678 | − | 0.118901i | ||||
\(253\) | 3.03043e8 | − | 2.54284e8i | 1.17648 | − | 0.987181i | ||||
\(254\) | 3.44687e7 | + | 5.97016e7i | 0.131980 | + | 0.228595i | ||||
\(255\) | 6.16302e7 | − | 1.06747e8i | 0.232757 | − | 0.403147i | ||||
\(256\) | 2.91333e6 | + | 1.65223e7i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −5.56959e7 | − | 3.15867e8i | −0.204672 | − | 1.16075i | −0.897956 | − | 0.440086i | \(-0.854948\pi\) |
0.693284 | − | 0.720664i | \(-0.256163\pi\) | |||||||
\(258\) | −4.72795e7 | + | 8.18905e7i | −0.171397 | + | 0.296869i | ||||
\(259\) | −7.57946e7 | − | 1.31280e8i | −0.271075 | − | 0.469515i | ||||
\(260\) | 7.70151e7 | − | 6.46233e7i | 0.271750 | − | 0.228025i | ||||
\(261\) | −8.92480e7 | + | 3.24836e7i | −0.310711 | + | 0.113090i | ||||
\(262\) | −1.05425e8 | − | 3.83717e7i | −0.362152 | − | 0.131813i | ||||
\(263\) | 2.86806e8 | + | 2.40659e8i | 0.972173 | + | 0.815750i | 0.982890 | − | 0.184192i | \(-0.0589670\pi\) |
−0.0107170 | + | 0.999943i | \(0.503411\pi\) | |||||||
\(264\) | −1.23825e7 | + | 7.02244e7i | −0.0414184 | + | 0.234895i | ||||
\(265\) | 2.96342e8 | 0.978212 | ||||||||
\(266\) | −1.83973e8 | + | 1.41845e8i | −0.599335 | + | 0.462091i | ||||
\(267\) | −1.74666e8 | −0.561589 | ||||||||
\(268\) | −9.54071e6 | + | 5.41081e7i | −0.0302767 | + | 0.171708i | ||||
\(269\) | −1.71729e8 | − | 1.44097e8i | −0.537910 | − | 0.451360i | 0.332912 | − | 0.942958i | \(-0.391969\pi\) |
−0.870823 | + | 0.491597i | \(0.836413\pi\) | |||||||
\(270\) | 1.55610e8 | + | 5.66374e7i | 0.481132 | + | 0.175118i | ||||
\(271\) | 4.37759e8 | − | 1.59331e8i | 1.33611 | − | 0.486304i | 0.427525 | − | 0.904004i | \(-0.359386\pi\) |
0.908585 | + | 0.417700i | \(0.137164\pi\) | |||||||
\(272\) | −6.74084e7 | + | 5.65624e7i | −0.203106 | + | 0.170426i | ||||
\(273\) | −1.01878e8 | − | 1.76459e8i | −0.303049 | − | 0.524897i | ||||
\(274\) | 1.95727e8 | − | 3.39009e8i | 0.574808 | − | 0.995597i | ||||
\(275\) | −3.07214e7 | − | 1.74230e8i | −0.0890792 | − | 0.505193i | ||||
\(276\) | −2.41877e7 | − | 1.37175e8i | −0.0692490 | − | 0.392730i | ||||
\(277\) | 1.32068e8 | − | 2.28748e8i | 0.373351 | − | 0.646662i | −0.616728 | − | 0.787176i | \(-0.711542\pi\) |
0.990079 | + | 0.140514i | \(0.0448755\pi\) | |||||||
\(278\) | 1.12600e8 | + | 1.95028e8i | 0.314326 | + | 0.544428i | ||||
\(279\) | −3.21910e8 | + | 2.70115e8i | −0.887402 | + | 0.744618i | ||||
\(280\) | 9.68572e7 | − | 3.52531e7i | 0.263681 | − | 0.0959720i | ||||
\(281\) | −3.99589e7 | − | 1.45438e7i | −0.107434 | − | 0.0391027i | 0.287744 | − | 0.957707i | \(-0.407095\pi\) |
−0.395178 | + | 0.918605i | \(0.629317\pi\) | |||||||
\(282\) | 1.66153e8 | + | 1.39419e8i | 0.441200 | + | 0.370211i | ||||
\(283\) | −9.88448e7 | + | 5.60577e8i | −0.259240 | + | 1.47022i | 0.525711 | + | 0.850663i | \(0.323799\pi\) |
−0.784951 | + | 0.619558i | \(0.787312\pi\) | |||||||
\(284\) | 3.03880e8 | 0.787205 | ||||||||
\(285\) | −1.71392e8 | − | 7.08611e6i | −0.438564 | − | 0.0181322i | ||||
\(286\) | −3.05053e8 | −0.771070 | ||||||||
\(287\) | −2.50266e7 | + | 1.41933e8i | −0.0624907 | + | 0.354402i | ||||
\(288\) | −3.56637e7 | − | 2.99254e7i | −0.0879737 | − | 0.0738187i | ||||
\(289\) | −4.81049e7 | − | 1.75088e7i | −0.117232 | − | 0.0426690i | ||||
\(290\) | −1.04162e8 | + | 3.79118e7i | −0.250793 | + | 0.0912812i | ||||
\(291\) | −5.36972e7 | + | 4.50573e7i | −0.127740 | + | 0.107186i | ||||
\(292\) | −4.16755e7 | − | 7.21840e7i | −0.0979581 | − | 0.169668i | ||||
\(293\) | 4.12897e8 | − | 7.15159e8i | 0.958971 | − | 1.66099i | 0.233963 | − | 0.972246i | \(-0.424831\pi\) |
0.725008 | − | 0.688740i | \(-0.241836\pi\) | |||||||
\(294\) | −4.60651e6 | − | 2.61248e7i | −0.0105720 | − | 0.0599567i | ||||
\(295\) | −1.27840e6 | − | 7.25019e6i | −0.00289929 | − | 0.0164427i | ||||
\(296\) | −3.99554e7 | + | 6.92047e7i | −0.0895476 | + | 0.155101i | ||||
\(297\) | −2.51232e8 | − | 4.35147e8i | −0.556452 | − | 0.963803i | ||||
\(298\) | 5.99369e7 | − | 5.02931e7i | 0.131201 | − | 0.110091i | ||||
\(299\) | 5.59950e8 | − | 2.03805e8i | 1.21143 | − | 0.440926i | ||||
\(300\) | −5.85370e7 | − | 2.13057e7i | −0.125172 | − | 0.0455588i | ||||
\(301\) | −3.17702e8 | − | 2.66584e8i | −0.671486 | − | 0.563444i | ||||
\(302\) | −5.96454e7 | + | 3.38266e8i | −0.124610 | + | 0.706698i | ||||
\(303\) | −1.81101e8 | −0.373999 | ||||||||
\(304\) | 1.13247e8 | + | 4.66020e7i | 0.231190 | + | 0.0951365i | ||||
\(305\) | −4.78368e8 | −0.965411 | ||||||||
\(306\) | 4.24017e7 | − | 2.40472e8i | 0.0845977 | − | 0.479777i | ||||
\(307\) | 4.10131e8 | + | 3.44141e8i | 0.808982 | + | 0.678816i | 0.950365 | − | 0.311139i | \(-0.100710\pi\) |
−0.141383 | + | 0.989955i | \(0.545155\pi\) | |||||||
\(308\) | −2.93890e8 | − | 1.06967e8i | −0.573136 | − | 0.208605i | ||||
\(309\) | −4.67784e8 | + | 1.70260e8i | −0.901967 | + | 0.328289i | ||||
\(310\) | −3.75703e8 | + | 3.15253e8i | −0.716274 | + | 0.601025i | ||||
\(311\) | −2.91198e8 | − | 5.04369e8i | −0.548942 | − | 0.950796i | −0.998347 | − | 0.0574680i | \(-0.981697\pi\) |
0.449405 | − | 0.893328i | \(-0.351636\pi\) | |||||||
\(312\) | −5.37055e7 | + | 9.30207e7i | −0.100110 | + | 0.173396i | ||||
\(313\) | 1.83166e8 | + | 1.03879e9i | 0.337629 | + | 1.91479i | 0.399553 | + | 0.916710i | \(0.369165\pi\) |
−0.0619242 | + | 0.998081i | \(0.519724\pi\) | |||||||
\(314\) | −2.54154e7 | − | 1.44138e8i | −0.0463279 | − | 0.262739i | ||||
\(315\) | −1.43011e8 | + | 2.47702e8i | −0.257800 | + | 0.446522i | ||||
\(316\) | 1.14857e8 | + | 1.98939e8i | 0.204764 | + | 0.354662i | ||||
\(317\) | 1.74872e8 | − | 1.46735e8i | 0.308327 | − | 0.258717i | −0.475473 | − | 0.879730i | \(-0.657723\pi\) |
0.783800 | + | 0.621013i | \(0.213279\pi\) | |||||||
\(318\) | −2.97514e8 | + | 1.08286e8i | −0.518814 | + | 0.188833i | ||||
\(319\) | 3.16054e8 | + | 1.15034e8i | 0.545123 | + | 0.198409i | ||||
\(320\) | −4.16233e7 | − | 3.49261e7i | −0.0710088 | − | 0.0595834i | ||||
\(321\) | −8.80082e7 | + | 4.99119e8i | −0.148510 | + | 0.842241i | ||||
\(322\) | 6.10925e8 | 1.01975 | ||||||||
\(323\) | 8.53092e7 | + | 6.36610e8i | 0.140860 | + | 1.05115i | ||||
\(324\) | 2.19410e7 | 0.0358384 | ||||||||
\(325\) | 4.62757e7 | − | 2.62443e8i | 0.0747758 | − | 0.424075i | ||||
\(326\) | −6.11679e8 | − | 5.13259e8i | −0.977826 | − | 0.820494i | ||||
\(327\) | 5.54071e8 | + | 2.01665e8i | 0.876290 | + | 0.318944i | ||||
\(328\) | 7.13928e7 | − | 2.59849e7i | 0.111711 | − | 0.0406595i | ||||
\(329\) | −7.28737e8 | + | 6.11483e8i | −1.12820 | + | 0.946670i | ||||
\(330\) | −1.15470e8 | − | 2.00000e8i | −0.176877 | − | 0.306360i | ||||
\(331\) | −3.17568e8 | + | 5.50044e8i | −0.481325 | + | 0.833680i | −0.999770 | − | 0.0214312i | \(-0.993178\pi\) |
0.518445 | + | 0.855111i | \(0.326511\pi\) | |||||||
\(332\) | −3.07318e7 | − | 1.74289e8i | −0.0460898 | − | 0.261388i | ||||
\(333\) | −3.85060e7 | − | 2.18378e8i | −0.0571444 | − | 0.324082i | ||||
\(334\) | 1.62710e8 | − | 2.81822e8i | 0.238947 | − | 0.413869i | ||||
\(335\) | −8.89700e7 | − | 1.54101e8i | −0.129297 | − | 0.223948i | ||||
\(336\) | −8.43582e7 | + | 7.07850e7i | −0.121322 | + | 0.101801i | ||||
\(337\) | −5.43495e8 | + | 1.97816e8i | −0.773554 | + | 0.281551i | −0.698482 | − | 0.715627i | \(-0.746141\pi\) |
−0.0750720 | + | 0.997178i | \(0.523919\pi\) | |||||||
\(338\) | 3.99238e7 | + | 1.45311e7i | 0.0562372 | + | 0.0204687i | ||||
\(339\) | 8.80790e7 | + | 7.39071e7i | 0.122793 | + | 0.103036i | ||||
\(340\) | 4.94873e7 | − | 2.80656e8i | 0.0682837 | − | 0.387256i | ||||
\(341\) | 1.48814e9 | 2.03238 | ||||||||
\(342\) | −3.23856e8 | + | 1.02935e8i | −0.437785 | + | 0.139147i | ||||
\(343\) | −6.83521e8 | −0.914581 | ||||||||
\(344\) | −3.79641e7 | + | 2.15305e8i | −0.0502827 | + | 0.285167i | ||||
\(345\) | 3.45575e8 | + | 2.89972e8i | 0.453080 | + | 0.380179i | ||||
\(346\) | 6.38697e8 | + | 2.32467e8i | 0.828950 | + | 0.301713i | ||||
\(347\) | 4.85902e8 | − | 1.76854e8i | 0.624303 | − | 0.227228i | −0.0104468 | − | 0.999945i | \(-0.503325\pi\) |
0.634750 | + | 0.772718i | \(0.281103\pi\) | |||||||
\(348\) | 9.07202e7 | − | 7.61233e7i | 0.115392 | − | 0.0968256i | ||||
\(349\) | 2.83022e8 | + | 4.90208e8i | 0.356394 | + | 0.617293i | 0.987356 | − | 0.158521i | \(-0.0506726\pi\) |
−0.630961 | + | 0.775814i | \(0.717339\pi\) | |||||||
\(350\) | 1.36608e8 | − | 2.36613e8i | 0.170310 | − | 0.294985i | ||||
\(351\) | −1.31428e8 | − | 7.45365e8i | −0.162223 | − | 0.920014i | ||||
\(352\) | 2.86290e7 | + | 1.62363e8i | 0.0349870 | + | 0.198421i | ||||
\(353\) | 6.78430e8 | − | 1.17507e9i | 0.820906 | − | 1.42185i | −0.0841029 | − | 0.996457i | \(-0.526802\pi\) |
0.905009 | − | 0.425393i | \(-0.139864\pi\) | |||||||
\(354\) | 3.93274e6 | + | 6.81171e6i | 0.00471177 | + | 0.00816102i | ||||
\(355\) | −7.53909e8 | + | 6.32605e8i | −0.894375 | + | 0.750470i | ||||
\(356\) | −3.79484e8 | + | 1.38121e8i | −0.445777 | + | 0.162250i | ||||
\(357\) | −5.42750e8 | − | 1.97545e8i | −0.631337 | − | 0.229788i | ||||
\(358\) | −1.02853e8 | − | 8.63039e7i | −0.118475 | − | 0.0994123i | ||||
\(359\) | −2.38783e8 | + | 1.35421e9i | −0.272379 | + | 1.54474i | 0.474787 | + | 0.880101i | \(0.342525\pi\) |
−0.747166 | + | 0.664638i | \(0.768586\pi\) | |||||||
\(360\) | 1.50777e8 | 0.170324 | ||||||||
\(361\) | 7.29838e8 | − | 5.16084e8i | 0.816491 | − | 0.577359i | ||||
\(362\) | −4.36590e8 | −0.483720 | ||||||||
\(363\) | −2.80114e7 | + | 1.58861e8i | −0.0307370 | + | 0.174318i | ||||
\(364\) | −3.60883e8 | − | 3.02816e8i | −0.392203 | − | 0.329098i | ||||
\(365\) | 2.53664e8 | + | 9.23263e7i | 0.273045 | + | 0.0993803i | ||||
\(366\) | 4.80259e8 | − | 1.74800e8i | 0.512025 | − | 0.186362i | ||||
\(367\) | −1.06562e9 | + | 8.94160e8i | −1.12531 | + | 0.944243i | −0.998860 | − | 0.0477306i | \(-0.984801\pi\) |
−0.126445 | + | 0.991974i | \(0.540357\pi\) | |||||||
\(368\) | −1.61025e8 | − | 2.78904e8i | −0.168433 | − | 0.291734i | ||||
\(369\) | −1.05412e8 | + | 1.82580e8i | −0.109219 | + | 0.189173i | ||||
\(370\) | −4.49406e7 | − | 2.54871e8i | −0.0461246 | − | 0.261585i | ||||
\(371\) | −2.41132e8 | − | 1.36753e9i | −0.245158 | − | 1.39036i | ||||
\(372\) | 2.61992e8 | − | 4.53784e8i | 0.263869 | − | 0.457034i | ||||
\(373\) | −8.29975e8 | − | 1.43756e9i | −0.828102 | − | 1.43432i | −0.899525 | − | 0.436869i | \(-0.856087\pi\) |
0.0714229 | − | 0.997446i | \(-0.477246\pi\) | |||||||
\(374\) | −6.62416e8 | + | 5.55833e8i | −0.654757 | + | 0.549406i | ||||
\(375\) | 6.10791e8 | − | 2.22310e8i | 0.598113 | − | 0.217695i | ||||
\(376\) | 4.71237e8 | + | 1.71516e8i | 0.457174 | + | 0.166398i | ||||
\(377\) | 3.88099e8 | + | 3.25654e8i | 0.373033 | + | 0.313012i | ||||
\(378\) | 1.34745e8 | − | 7.64176e8i | 0.128319 | − | 0.727733i | ||||
\(379\) | 1.89344e9 | 1.78655 | 0.893274 | − | 0.449513i | \(-0.148402\pi\) | ||||
0.893274 | + | 0.449513i | \(0.148402\pi\) | |||||||
\(380\) | −3.77974e8 | + | 1.20136e8i | −0.353362 | + | 0.112313i | ||||
\(381\) | 2.38531e8 | 0.220957 | ||||||||
\(382\) | 6.52285e7 | − | 3.69929e8i | 0.0598708 | − | 0.339544i | ||||
\(383\) | 1.23624e8 | + | 1.03733e8i | 0.112437 | + | 0.0943455i | 0.697273 | − | 0.716806i | \(-0.254397\pi\) |
−0.584836 | + | 0.811152i | \(0.698841\pi\) | |||||||
\(384\) | 5.45502e7 | + | 1.98546e7i | 0.0491628 | + | 0.0178938i | ||||
\(385\) | 9.51806e8 | − | 3.46429e8i | 0.850033 | − | 0.309387i | ||||
\(386\) | −5.05811e8 | + | 4.24426e8i | −0.447644 | + | 0.375618i | ||||
\(387\) | −3.03337e8 | − | 5.25395e8i | −0.266034 | − | 0.460784i | ||||
\(388\) | −8.10340e7 | + | 1.40355e8i | −0.0704298 | + | 0.121988i | ||||
\(389\) | −2.44365e8 | − | 1.38586e9i | −0.210482 | − | 1.19370i | −0.888576 | − | 0.458729i | \(-0.848305\pi\) |
0.678094 | − | 0.734975i | \(-0.262806\pi\) | |||||||
\(390\) | −6.04063e7 | − | 3.42581e8i | −0.0515651 | − | 0.292440i | ||||
\(391\) | 8.44569e8 | − | 1.46284e9i | 0.714523 | − | 1.23759i | ||||
\(392\) | −3.06670e7 | − | 5.31168e7i | −0.0257140 | − | 0.0445380i | ||||
\(393\) | −2.97375e8 | + | 2.49527e8i | −0.247133 | + | 0.207369i | ||||
\(394\) | 1.39183e9 | − | 5.06585e8i | 1.14643 | − | 0.417268i | ||||
\(395\) | −6.99097e8 | − | 2.54450e8i | −0.570752 | − | 0.207737i | ||||
\(396\) | −3.50464e8 | − | 2.94074e8i | −0.283603 | − | 0.237971i | ||||
\(397\) | −2.13868e8 | + | 1.21291e9i | −0.171546 | + | 0.972884i | 0.770510 | + | 0.637428i | \(0.220001\pi\) |
−0.942056 | + | 0.335456i | \(0.891110\pi\) | |||||||
\(398\) | 9.78352e7 | 0.0777865 | ||||||||
\(399\) | 1.06760e8 | + | 7.96685e8i | 0.0841403 | + | 0.627887i | ||||
\(400\) | −1.44027e8 | −0.112521 | ||||||||
\(401\) | 1.94925e8 | − | 1.10548e9i | 0.150960 | − | 0.856138i | −0.811426 | − | 0.584455i | \(-0.801308\pi\) |
0.962387 | − | 0.271684i | \(-0.0875804\pi\) | |||||||
\(402\) | 1.45631e8 | + | 1.22199e8i | 0.111806 | + | 0.0938161i | ||||
\(403\) | 2.10641e9 | + | 7.66670e8i | 1.60315 | + | 0.583500i | ||||
\(404\) | −3.93465e8 | + | 1.43209e8i | −0.296873 | + | 0.108053i | ||||
\(405\) | −5.44343e7 | + | 4.56758e7i | −0.0407174 | + | 0.0341660i | ||||
\(406\) | 2.59707e8 | + | 4.49825e8i | 0.192594 | + | 0.333582i | ||||
\(407\) | −3.92637e8 | + | 6.80068e8i | −0.288676 | + | 0.500002i | ||||
\(408\) | 5.28714e7 | + | 2.99849e8i | 0.0385399 | + | 0.218571i | ||||
\(409\) | 4.42405e8 | + | 2.50900e9i | 0.319734 | + | 1.81330i | 0.544357 | + | 0.838854i | \(0.316774\pi\) |
−0.224624 | + | 0.974446i | \(0.572115\pi\) | |||||||
\(410\) | −1.23027e8 | + | 2.13090e8i | −0.0881573 | + | 0.152693i | ||||
\(411\) | −6.77237e8 | − | 1.17301e9i | −0.481165 | − | 0.833402i | ||||
\(412\) | −8.81685e8 | + | 7.39821e8i | −0.621116 | + | 0.521179i | ||||
\(413\) | −3.24171e7 | + | 1.17989e7i | −0.0226438 | + | 0.00824166i | ||||
\(414\) | 8.39776e8 | + | 3.05653e8i | 0.581650 | + | 0.211703i | ||||
\(415\) | 4.39071e8 | + | 3.68424e8i | 0.301555 | + | 0.253035i | ||||
\(416\) | −4.31240e7 | + | 2.44568e8i | −0.0293692 | + | 0.166561i | ||||
\(417\) | 7.79215e8 | 0.526236 | ||||||||
\(418\) | 1.11287e9 | + | 4.57953e8i | 0.745293 | + | 0.306693i | ||||
\(419\) | −8.01685e8 | −0.532420 | −0.266210 | − | 0.963915i | \(-0.585772\pi\) | ||||
−0.266210 | + | 0.963915i | \(0.585772\pi\) | |||||||
\(420\) | 6.19308e7 | − | 3.51227e8i | 0.0407882 | − | 0.231321i | ||||
\(421\) | −1.62057e9 | − | 1.35982e9i | −1.05847 | − | 0.888165i | −0.0645145 | − | 0.997917i | \(-0.520550\pi\) |
−0.993959 | + | 0.109752i | \(0.964994\pi\) | |||||||
\(422\) | −1.68172e8 | − | 6.12096e7i | −0.108933 | − | 0.0396484i | ||||
\(423\) | −1.30765e9 | + | 4.75946e8i | −0.840042 | + | 0.305750i | ||||
\(424\) | −5.60757e8 | + | 4.70531e8i | −0.357268 | + | 0.299783i | ||||
\(425\) | −3.77707e8 | − | 6.54207e8i | −0.238667 | − | 0.413384i | ||||
\(426\) | 5.25730e8 | − | 9.10590e8i | 0.329480 | − | 0.570676i | ||||
\(427\) | 3.89244e8 | + | 2.20751e9i | 0.241950 | + | 1.37216i | ||||
\(428\) | 2.03480e8 | + | 1.15399e9i | 0.125450 | + | 0.711460i | ||||
\(429\) | −5.27759e8 | + | 9.14105e8i | −0.322727 | + | 0.558979i | ||||
\(430\) | −3.54026e8 | − | 6.13192e8i | −0.214732 | − | 0.371926i | ||||
\(431\) | 5.77395e8 | − | 4.84492e8i | 0.347378 | − | 0.291485i | −0.452358 | − | 0.891836i | \(-0.649417\pi\) |
0.799736 | + | 0.600352i | \(0.204973\pi\) | |||||||
\(432\) | −3.84383e8 | + | 1.39904e8i | −0.229388 | + | 0.0834906i | ||||
\(433\) | −2.24162e9 | − | 8.15885e8i | −1.32695 | − | 0.482971i | −0.421273 | − | 0.906934i | \(-0.638416\pi\) |
−0.905680 | + | 0.423963i | \(0.860639\pi\) | |||||||
\(434\) | 1.76050e9 | + | 1.47723e9i | 1.03376 | + | 0.867431i | ||||
\(435\) | −6.66014e7 | + | 3.77715e8i | −0.0387946 | + | 0.220015i | ||||
\(436\) | 1.36326e9 | 0.787728 | ||||||||
\(437\) | −2.34872e9 | − | 9.71066e7i | −1.34631 | − | 0.0556626i | ||||
\(438\) | −2.88404e8 | −0.163999 | ||||||||
\(439\) | 3.50545e7 | − | 1.98804e8i | 0.0197751 | − | 0.112150i | −0.973322 | − | 0.229441i | \(-0.926310\pi\) |
0.993098 | + | 0.117291i | \(0.0374212\pi\) | |||||||
\(440\) | −4.09028e8 | − | 3.43215e8i | −0.228912 | − | 0.192080i | ||||
\(441\) | 1.59934e8 | + | 5.82112e7i | 0.0887984 | + | 0.0323200i | ||||
\(442\) | −1.22398e9 | + | 4.45493e8i | −0.674213 | + | 0.245393i | ||||
\(443\) | −7.86376e8 | + | 6.59848e8i | −0.429752 | + | 0.360604i | −0.831858 | − | 0.554989i | \(-0.812723\pi\) |
0.402106 | + | 0.915593i | \(0.368278\pi\) | |||||||
\(444\) | 1.38250e8 | + | 2.39456e8i | 0.0749592 | + | 0.129833i | ||||
\(445\) | 6.53943e8 | − | 1.13266e9i | 0.351787 | − | 0.609313i | ||||
\(446\) | 7.13042e7 | + | 4.04386e8i | 0.0380577 | + | 0.215836i | ||||
\(447\) | −4.70112e7 | − | 2.66614e8i | −0.0248957 | − | 0.141191i | ||||
\(448\) | −1.27304e8 | + | 2.20498e8i | −0.0668914 | + | 0.115859i | ||||
\(449\) | −1.66714e9 | − | 2.88758e9i | −0.869183 | − | 1.50547i | −0.862833 | − | 0.505489i | \(-0.831312\pi\) |
−0.00634950 | − | 0.999980i | \(-0.502021\pi\) | |||||||
\(450\) | 3.06162e8 | − | 2.56900e8i | 0.158382 | − | 0.132899i | ||||
\(451\) | 7.01570e8 | − | 2.55351e8i | 0.360125 | − | 0.131075i | ||||
\(452\) | 2.49807e8 | + | 9.09222e7i | 0.127239 | + | 0.0463111i | ||||
\(453\) | 9.10440e8 | + | 7.63949e8i | 0.460158 | + | 0.386119i | ||||
\(454\) | −6.19626e7 | + | 3.51407e8i | −0.0310766 | + | 0.176244i | ||||
\(455\) | 1.52572e9 | 0.759338 | ||||||||
\(456\) | 3.35569e8 | − | 2.58726e8i | 0.165732 | − | 0.127780i | ||||
\(457\) | 9.88362e8 | 0.484406 | 0.242203 | − | 0.970226i | \(-0.422130\pi\) | ||||
0.242203 | + | 0.970226i | \(0.422130\pi\) | |||||||
\(458\) | −3.97358e8 | + | 2.25353e9i | −0.193265 | + | 1.09606i | ||||
\(459\) | −1.64351e9 | − | 1.37907e9i | −0.793284 | − | 0.665645i | ||||
\(460\) | 9.80107e8 | + | 3.56730e8i | 0.469484 | + | 0.170878i | ||||
\(461\) | 1.35673e9 | − | 4.93810e8i | 0.644972 | − | 0.234751i | 0.00123723 | − | 0.999999i | \(-0.499606\pi\) |
0.643735 | + | 0.765249i | \(0.277384\pi\) | |||||||
\(462\) | −8.28980e8 | + | 6.95597e8i | −0.391108 | + | 0.328179i | ||||
\(463\) | −1.68543e9 | − | 2.91924e9i | −0.789180 | − | 1.36690i | −0.926470 | − | 0.376369i | \(-0.877173\pi\) |
0.137290 | − | 0.990531i | \(-0.456161\pi\) | |||||||
\(464\) | 1.36905e8 | − | 2.37127e8i | 0.0636219 | − | 0.110196i | ||||
\(465\) | 2.94681e8 | + | 1.67122e9i | 0.135915 | + | 0.770811i | ||||
\(466\) | −3.06521e8 | − | 1.73837e9i | −0.140317 | − | 0.795777i | ||||
\(467\) | −1.23046e9 | + | 2.13122e9i | −0.559060 | + | 0.968321i | 0.438515 | + | 0.898724i | \(0.355505\pi\) |
−0.997575 | + | 0.0695967i | \(0.977829\pi\) | |||||||
\(468\) | −3.44565e8 | − | 5.96805e8i | −0.155386 | − | 0.269136i | ||||
\(469\) | −6.38731e8 | + | 5.35959e8i | −0.285899 | + | 0.239898i | ||||
\(470\) | −1.52617e9 | + | 5.55480e8i | −0.678047 | + | 0.246789i | ||||
\(471\) | −4.75886e8 | − | 1.73208e8i | −0.209860 | − | 0.0763828i | ||||
\(472\) | 1.39309e7 | + | 1.16894e7i | 0.00609792 | + | 0.00511676i | ||||
\(473\) | −3.73069e8 | + | 2.11578e9i | −0.162097 | + | 0.919298i | ||||
\(474\) | 7.94838e8 | 0.342811 | ||||||||
\(475\) | −5.62805e8 | + | 8.87951e8i | −0.240952 | + | 0.380156i | ||||
\(476\) | −1.33541e9 | −0.567531 | ||||||||
\(477\) | 3.52731e8 | − | 2.00044e9i | 0.148809 | − | 0.843938i | ||||
\(478\) | −4.90394e8 | − | 4.11490e8i | −0.205375 | − | 0.172330i | ||||
\(479\) | −1.77885e9 | − | 6.47449e8i | −0.739547 | − | 0.269173i | −0.0553464 | − | 0.998467i | \(-0.517626\pi\) |
−0.684200 | + | 0.729294i | \(0.739849\pi\) | |||||||
\(480\) | −1.76669e8 | + | 6.43021e7i | −0.0729147 | + | 0.0265388i | ||||
\(481\) | −9.06125e8 | + | 7.60329e8i | −0.371262 | + | 0.311526i | ||||
\(482\) | 5.50245e8 | + | 9.53052e8i | 0.223816 | + | 0.387661i | ||||
\(483\) | 1.05693e9 | − | 1.83066e9i | 0.426809 | − | 0.739254i | ||||
\(484\) | 6.47641e7 | + | 3.67296e8i | 0.0259643 | + | 0.147251i | ||||
\(485\) | −9.11445e7 | − | 5.16906e8i | −0.0362773 | − | 0.205739i | ||||
\(486\) | 9.11589e8 | − | 1.57892e9i | 0.360224 | − | 0.623926i | ||||
\(487\) | 1.05182e9 | + | 1.82181e9i | 0.412659 | + | 0.714746i | 0.995180 | − | 0.0980698i | \(-0.0312668\pi\) |
−0.582521 | + | 0.812816i | \(0.697933\pi\) | |||||||
\(488\) | 9.05196e8 | − | 7.59550e8i | 0.352593 | − | 0.295861i | ||||
\(489\) | −2.59624e9 | + | 9.44956e8i | −1.00407 | + | 0.365452i | ||||
\(490\) | 1.86660e8 | + | 6.79385e7i | 0.0716744 | + | 0.0260874i | ||||
\(491\) | 9.35893e8 | + | 7.85307e8i | 0.356813 | + | 0.299402i | 0.803519 | − | 0.595279i | \(-0.202958\pi\) |
−0.446706 | + | 0.894681i | \(0.647403\pi\) | |||||||
\(492\) | 4.56488e7 | − | 2.58887e8i | 0.0172803 | − | 0.0980015i | ||||
\(493\) | 1.43612e9 | 0.539791 | ||||||||
\(494\) | 1.33929e9 | + | 1.22155e9i | 0.499840 | + | 0.455897i | ||||
\(495\) | 1.48167e9 | 0.549078 | ||||||||
\(496\) | 2.10372e8 | − | 1.19308e9i | 0.0774110 | − | 0.439019i | ||||
\(497\) | 3.53272e9 | + | 2.96430e9i | 1.29081 | + | 1.08312i | ||||
\(498\) | −5.75432e8 | − | 2.09440e8i | −0.208781 | − | 0.0759902i | ||||
\(499\) | 7.07725e8 | − | 2.57591e8i | 0.254984 | − | 0.0928065i | −0.211366 | − | 0.977407i | \(-0.567791\pi\) |
0.466350 | + | 0.884601i | \(0.345569\pi\) | |||||||
\(500\) | 1.15123e9 | − | 9.65993e8i | 0.411875 | − | 0.345604i | ||||
\(501\) | −5.62996e8 | − | 9.75137e8i | −0.200020 | − | 0.346444i | ||||
\(502\) | −2.39966e8 | + | 4.15634e8i | −0.0846617 | + | 0.146638i | ||||
\(503\) | 5.03123e7 | + | 2.85335e8i | 0.0176273 | + | 0.0999695i | 0.992352 | − | 0.123440i | \(-0.0393925\pi\) |
−0.974725 | + | 0.223409i | \(0.928281\pi\) | |||||||
\(504\) | −1.22686e8 | − | 6.95789e8i | −0.0426864 | − | 0.242087i | ||||
\(505\) | 6.78036e8 | − | 1.17439e9i | 0.234279 | − | 0.405783i | ||||
\(506\) | −1.58238e9 | − | 2.74076e9i | −0.542980 | − | 0.940470i | ||||
\(507\) | 1.12614e8 | − | 9.44940e7i | 0.0383763 | − | 0.0322015i | ||||
\(508\) | 5.18240e8 | − | 1.88624e8i | 0.175391 | − | 0.0638372i | ||||
\(509\) | 3.74505e9 | + | 1.36309e9i | 1.25877 | + | 0.458154i | 0.883355 | − | 0.468705i | \(-0.155279\pi\) |
0.375412 | + | 0.926858i | \(0.377501\pi\) | |||||||
\(510\) | −7.55384e8 | − | 6.33842e8i | −0.252158 | − | 0.211585i | ||||
\(511\) | 2.19651e8 | − | 1.24571e9i | 0.0728217 | − | 0.412992i | ||||
\(512\) | 1.34218e8 | 0.0441942 | ||||||||
\(513\) | −6.39497e8 | + | 2.91648e9i | −0.209136 | + | 0.953781i | ||||
\(514\) | −2.56592e9 | −0.833436 | ||||||||
\(515\) | 6.47281e8 | − | 3.67091e9i | 0.208818 | − | 1.18426i | ||||
\(516\) | 5.79491e8 | + | 4.86251e8i | 0.185683 | + | 0.155807i | ||||
\(517\) | 4.63080e9 | + | 1.68547e9i | 1.47380 | + | 0.536420i | ||||
\(518\) | −1.13958e9 | + | 4.14773e8i | −0.360238 | + | 0.131116i | ||||
\(519\) | 1.80158e9 | − | 1.51170e9i | 0.565676 | − | 0.474658i | ||||
\(520\) | −4.02144e8 | − | 6.96534e8i | −0.125421 | − | 0.217235i | ||||
\(521\) | −8.05016e8 | + | 1.39433e9i | −0.249386 | + | 0.431949i | −0.963356 | − | 0.268227i | \(-0.913562\pi\) |
0.713969 | + | 0.700177i | \(0.246896\pi\) | |||||||
\(522\) | 1.31939e8 | + | 7.48263e8i | 0.0406000 | + | 0.230254i | ||||
\(523\) | −4.34264e8 | − | 2.46284e9i | −0.132739 | − | 0.752800i | −0.976408 | − | 0.215936i | \(-0.930720\pi\) |
0.843669 | − | 0.536864i | \(-0.180391\pi\) | |||||||
\(524\) | −4.48766e8 | + | 7.77285e8i | −0.136257 | + | 0.236005i | ||||
\(525\) | −4.72681e8 | − | 8.18707e8i | −0.142564 | − | 0.246928i | ||||
\(526\) | 2.29445e9 | − | 1.92527e9i | 0.687430 | − | 0.576822i | ||||
\(527\) | 5.97096e9 | − | 2.17325e9i | 1.77708 | − | 0.646804i | ||||
\(528\) | 5.36059e8 | + | 1.95110e8i | 0.158487 | + | 0.0576846i | ||||
\(529\) | 2.12744e9 | + | 1.78513e9i | 0.624831 | + | 0.524295i | ||||
\(530\) | 4.11674e8 | − | 2.33472e9i | 0.120113 | − | 0.681192i | ||||
\(531\) | −5.04636e7 | −0.0146267 | ||||||||
\(532\) | 8.61946e8 | + | 1.64648e9i | 0.248193 | + | 0.474094i | ||||
\(533\) | 1.12460e9 | 0.321701 | ||||||||
\(534\) | −2.42643e8 | + | 1.37610e9i | −0.0689562 | + | 0.391070i | ||||
\(535\) | −2.90716e9 | − | 2.43940e9i | −0.820788 | − | 0.688723i | ||||
\(536\) | 4.13035e8 | + | 1.50332e8i | 0.115854 | + | 0.0421673i | ||||
\(537\) | −4.36555e8 | + | 1.58893e8i | −0.121655 | + | 0.0442787i | ||||
\(538\) | −1.37383e9 | + | 1.15278e9i | −0.380360 | + | 0.319160i | ||||
\(539\) | −3.01362e8 | − | 5.21974e8i | −0.0828948 | − | 0.143578i | ||||
\(540\) | 6.62387e8 | − | 1.14729e9i | 0.181023 | − | 0.313541i | ||||
\(541\) | −7.63502e8 | − | 4.33003e9i | −0.207310 | − | 1.17571i | −0.893764 | − | 0.448538i | \(-0.851945\pi\) |
0.686454 | − | 0.727173i | \(-0.259166\pi\) | |||||||
\(542\) | −6.47156e8 | − | 3.67020e9i | −0.174587 | − | 0.990131i | ||||
\(543\) | −7.55325e8 | + | 1.30826e9i | −0.202458 | + | 0.350667i | ||||
\(544\) | 3.51982e8 | + | 6.09650e8i | 0.0937398 | + | 0.162362i | ||||
\(545\) | −3.38217e9 | + | 2.83798e9i | −0.894969 | + | 0.750968i | ||||
\(546\) | −1.53175e9 | + | 5.57512e8i | −0.402730 | + | 0.146582i | ||||
\(547\) | −3.51560e9 | − | 1.27958e9i | −0.918427 | − | 0.334280i | −0.160814 | − | 0.986985i | \(-0.551412\pi\) |
−0.757612 | + | 0.652705i | \(0.773634\pi\) | |||||||
\(548\) | −2.39897e9 | − | 2.01297e9i | −0.622719 | − | 0.522523i | ||||
\(549\) | −5.69393e8 | + | 3.22919e9i | −0.146862 | + | 0.832895i | ||||
\(550\) | −1.41534e9 | −0.362736 | ||||||||
\(551\) | −9.26950e8 | − | 1.77065e9i | −0.236062 | − | 0.450922i | ||||
\(552\) | −1.11433e9 | −0.281986 | ||||||||
\(553\) | −6.05358e8 | + | 3.43315e9i | −0.152221 | + | 0.863287i | ||||
\(554\) | −1.61871e9 | − | 1.35826e9i | −0.404470 | − | 0.339390i | ||||
\(555\) | −8.41481e8 | − | 3.06274e8i | −0.208939 | − | 0.0760475i | ||||
\(556\) | 1.69294e9 | − | 6.16181e8i | 0.417716 | − | 0.152036i | ||||
\(557\) | −4.09499e8 | + | 3.43611e8i | −0.100406 | + | 0.0842507i | −0.691609 | − | 0.722272i | \(-0.743098\pi\) |
0.591203 | + | 0.806523i | \(0.298653\pi\) | |||||||
\(558\) | 1.68090e9 | + | 2.91140e9i | 0.409564 | + | 0.709385i | ||||
\(559\) | −1.61809e9 | + | 2.80261e9i | −0.391796 | + | 0.678611i | ||||
\(560\) | −1.43188e8 | − | 8.12059e8i | −0.0344547 | − | 0.195402i | ||||
\(561\) | 5.19562e8 | + | 2.94658e9i | 0.124242 | + | 0.704610i | ||||
\(562\) | −1.70093e8 | + | 2.94610e8i | −0.0404213 | + | 0.0700118i | ||||
\(563\) | 5.73417e8 | + | 9.93188e8i | 0.135423 | + | 0.234559i | 0.925759 | − | 0.378114i | \(-0.123427\pi\) |
−0.790336 | + | 0.612673i | \(0.790094\pi\) | |||||||
\(564\) | 1.32922e9 | − | 1.11535e9i | 0.311976 | − | 0.261779i | ||||
\(565\) | −8.09034e8 | + | 2.94464e8i | −0.188711 | + | 0.0686852i | ||||
\(566\) | 4.27917e9 | + | 1.55749e9i | 0.991978 | + | 0.361050i | ||||
\(567\) | 2.55072e8 | + | 2.14031e8i | 0.0587655 | + | 0.0493101i | ||||
\(568\) | 4.22145e8 | − | 2.39411e9i | 0.0966592 | − | 0.548181i | ||||
\(569\) | −2.78275e9 | −0.633258 | −0.316629 | − | 0.948549i | \(-0.602551\pi\) | ||||
−0.316629 | + | 0.948549i | \(0.602551\pi\) | |||||||
\(570\) | −2.93923e8 | + | 1.34046e9i | −0.0664769 | + | 0.303174i | ||||
\(571\) | −1.56694e9 | −0.352229 | −0.176114 | − | 0.984370i | \(-0.556353\pi\) | ||||
−0.176114 | + | 0.984370i | \(0.556353\pi\) | |||||||
\(572\) | −4.23775e8 | + | 2.40335e9i | −0.0946780 | + | 0.536946i | ||||
\(573\) | −9.95661e8 | − | 8.35458e8i | −0.221091 | − | 0.185517i | ||||
\(574\) | 1.08345e9 | + | 3.94342e8i | 0.239120 | + | 0.0870326i | ||||
\(575\) | 2.59797e9 | − | 9.45585e8i | 0.569898 | − | 0.207426i | ||||
\(576\) | −2.85310e8 | + | 2.39403e8i | −0.0622068 | + | 0.0521977i | ||||
\(577\) | 3.44630e9 | + | 5.96916e9i | 0.746857 | + | 1.29359i | 0.949322 | + | 0.314305i | \(0.101771\pi\) |
−0.202465 | + | 0.979289i | \(0.564895\pi\) | |||||||
\(578\) | −2.04769e8 | + | 3.54670e8i | −0.0441079 | + | 0.0763971i | ||||
\(579\) | 3.96730e8 | + | 2.24997e9i | 0.0849415 | + | 0.481727i | ||||
\(580\) | 1.53987e8 | + | 8.73301e8i | 0.0327706 | + | 0.185852i | ||||
\(581\) | 1.34289e9 | − | 2.32596e9i | 0.284070 | − | 0.492023i | ||||
\(582\) | 2.80387e8 | + | 4.85644e8i | 0.0589559 | + | 0.102115i | ||||
\(583\) | −5.51050e9 | + | 4.62386e9i | −1.15173 | + | 0.966417i | ||||
\(584\) | −6.26594e8 | + | 2.28062e8i | −0.130179 | + | 0.0473813i | ||||
\(585\) | 2.09725e9 | + | 7.63337e8i | 0.433117 | + | 0.157642i | ||||
\(586\) | −5.06076e9 | − | 4.24648e9i | −1.03890 | − | 0.871742i | ||||
\(587\) | −1.31371e9 | + | 7.45042e9i | −0.268081 | + | 1.52036i | 0.492035 | + | 0.870576i | \(0.336253\pi\) |
−0.760116 | + | 0.649788i | \(0.774858\pi\) | |||||||
\(588\) | −2.12223e8 | −0.0430498 | ||||||||
\(589\) | −6.53348e9 | − | 5.95910e9i | −1.31747 | − | 1.20165i | ||||
\(590\) | −5.88963e7 | −0.0118061 | ||||||||
\(591\) | 8.89941e8 | − | 5.04710e9i | 0.177339 | − | 1.00574i | ||||
\(592\) | 4.89721e8 | + | 4.10925e8i | 0.0970115 | + | 0.0814023i | ||||
\(593\) | −1.31527e9 | − | 4.78719e8i | −0.259014 | − | 0.0942735i | 0.209249 | − | 0.977862i | \(-0.432898\pi\) |
−0.468264 | + | 0.883589i | \(0.655120\pi\) | |||||||
\(594\) | −3.77730e9 | + | 1.37482e9i | −0.739484 | + | 0.269150i | ||||
\(595\) | 3.31307e9 | − | 2.78000e9i | 0.644794 | − | 0.541047i | ||||
\(596\) | −3.12968e8 | − | 5.42077e8i | −0.0605534 | − | 0.104882i | ||||
\(597\) | 1.69260e8 | − | 2.93168e8i | 0.0325571 | − | 0.0563905i | ||||
\(598\) | −8.27796e8 | − | 4.69467e9i | −0.158296 | − | 0.897740i | ||||
\(599\) | −8.75149e8 | − | 4.96322e9i | −0.166375 | − | 0.943560i | −0.947635 | − | 0.319354i | \(-0.896534\pi\) |
0.781260 | − | 0.624205i | \(-0.214577\pi\) | |||||||
\(600\) | −2.49175e8 | + | 4.31584e8i | −0.0470950 | + | 0.0815710i | ||||
\(601\) | 1.35927e9 | + | 2.35433e9i | 0.255415 | + | 0.442391i | 0.965008 | − | 0.262220i | \(-0.0844547\pi\) |
−0.709593 | + | 0.704611i | \(0.751121\pi\) | |||||||
\(602\) | −2.54162e9 | + | 2.13267e9i | −0.474812 | + | 0.398415i | ||||
\(603\) | −1.14614e9 | + | 4.17163e8i | −0.212877 | + | 0.0774809i | ||||
\(604\) | 2.58216e9 | + | 9.39828e8i | 0.476819 | + | 0.173548i | ||||
\(605\) | −9.25297e8 | − | 7.76417e8i | −0.169878 | − | 0.142545i | ||||
\(606\) | −2.51582e8 | + | 1.42680e9i | −0.0459226 | + | 0.260440i | ||||
\(607\) | −7.01301e9 | −1.27275 | −0.636376 | − | 0.771379i | \(-0.719567\pi\) | ||||
−0.636376 | + | 0.771379i | \(0.719567\pi\) | |||||||
\(608\) | 5.24474e8 | − | 8.27475e8i | 0.0946371 | − | 0.149311i | ||||
\(609\) | 1.79723e9 | 0.322435 | ||||||||
\(610\) | −6.64542e8 | + | 3.76880e9i | −0.118541 | + | 0.672278i | ||||
\(611\) | 5.68638e9 | + | 4.77144e9i | 1.00854 | + | 0.846263i | ||||
\(612\) | −1.83565e9 | − | 6.68121e8i | −0.323712 | − | 0.117822i | ||||
\(613\) | 4.30180e9 | − | 1.56573e9i | 0.754291 | − | 0.274539i | 0.0638805 | − | 0.997958i | \(-0.479652\pi\) |
0.690410 | + | 0.723418i | \(0.257430\pi\) | |||||||
\(614\) | 3.28105e9 | − | 2.75313e9i | 0.572037 | − | 0.479996i | ||||
\(615\) | 4.25689e8 | + | 7.37314e8i | 0.0737954 | + | 0.127817i | ||||
\(616\) | −1.25101e9 | + | 2.16681e9i | −0.215639 | + | 0.373498i | ||||
\(617\) | 1.49243e9 | + | 8.46400e9i | 0.255798 | + | 1.45070i | 0.794017 | + | 0.607896i | \(0.207986\pi\) |
−0.538219 | + | 0.842805i | \(0.680903\pi\) | |||||||
\(618\) | 6.91544e8 | + | 3.92194e9i | 0.117858 | + | 0.668408i | ||||
\(619\) | 3.11408e9 | − | 5.39374e9i | 0.527730 | − | 0.914056i | −0.471747 | − | 0.881734i | \(-0.656377\pi\) |
0.999478 | − | 0.0323219i | \(-0.0102902\pi\) | |||||||
\(620\) | 1.96178e9 | + | 3.39791e9i | 0.330583 | + | 0.572586i | ||||
\(621\) | 6.01502e9 | − | 5.04720e9i | 1.00790 | − | 0.845727i | ||||
\(622\) | −4.37818e9 | + | 1.59353e9i | −0.729504 | + | 0.265518i | ||||
\(623\) | −5.75899e9 | − | 2.09610e9i | −0.954197 | − | 0.347299i | ||||
\(624\) | 6.58253e8 | + | 5.52340e8i | 0.108454 | + | 0.0910040i | ||||
\(625\) | −3.68133e8 | + | 2.08778e9i | −0.0603148 | + | 0.342062i | ||||
\(626\) | 8.43850e9 | 1.37485 | ||||||||
\(627\) | 3.29761e9 | − | 2.54248e9i | 0.534272 | − | 0.411927i | ||||
\(628\) | −1.17089e9 | −0.188650 | ||||||||
\(629\) | −5.82245e8 | + | 3.30208e9i | −0.0932886 | + | 0.529066i | ||||
\(630\) | 1.75284e9 | + | 1.47081e9i | 0.279287 | + | 0.234350i | ||||
\(631\) | −7.76299e9 | − | 2.82550e9i | −1.23006 | − | 0.447705i | −0.356442 | − | 0.934318i | \(-0.616010\pi\) |
−0.873618 | + | 0.486612i | \(0.838232\pi\) | |||||||
\(632\) | 1.72689e9 | − | 6.28536e8i | 0.272116 | − | 0.0990422i | ||||
\(633\) | −4.74365e8 | + | 3.98039e8i | −0.0743360 | + | 0.0623753i | ||||
\(634\) | −9.13115e8 | − | 1.58156e9i | −0.142303 | − | 0.246475i | ||||
\(635\) | −8.93055e8 | + | 1.54682e9i | −0.138411 | + | 0.239735i | ||||
\(636\) | 4.39826e8 | + | 2.49438e9i | 0.0677925 | + | 0.384470i | ||||
\(637\) | −1.57652e8 | − | 8.94091e8i | −0.0241664 | − | 0.137055i | ||||
\(638\) | 1.34535e9 | − | 2.33022e9i | 0.205099 | − | 0.355242i | ||||
\(639\) | 3.37299e9 | + | 5.84219e9i | 0.511401 | + | 0.885773i | ||||
\(640\) | −3.32987e8 | + | 2.79409e8i | −0.0502108 | + | 0.0421318i | ||||
\(641\) | 5.19998e9 | − | 1.89264e9i | 0.779827 | − | 0.283834i | 0.0787267 | − | 0.996896i | \(-0.474915\pi\) |
0.701101 | + | 0.713062i | \(0.252692\pi\) | |||||||
\(642\) | 3.81003e9 | + | 1.38674e9i | 0.568272 | + | 0.206834i | ||||
\(643\) | −8.49900e9 | − | 7.13150e9i | −1.26075 | − | 1.05790i | −0.995602 | − | 0.0936881i | \(-0.970134\pi\) |
−0.265149 | − | 0.964207i | \(-0.585421\pi\) | |||||||
\(644\) | 8.48688e8 | − | 4.81315e9i | 0.125212 | − | 0.710115i | ||||
\(645\) | −2.44994e9 | −0.359498 | ||||||||
\(646\) | 5.13401e9 | + | 2.12263e8i | 0.749279 | + | 0.0309785i | ||||
\(647\) | 1.76225e9 | 0.255801 | 0.127900 | − | 0.991787i | \(-0.459176\pi\) | ||||
0.127900 | + | 0.991787i | \(0.459176\pi\) | |||||||
\(648\) | 3.04801e7 | − | 1.72861e8i | 0.00440052 | − | 0.0249566i | ||||
\(649\) | 1.36897e8 | + | 1.14871e8i | 0.0196580 | + | 0.0164950i | ||||
\(650\) | −2.00336e9 | − | 7.29163e8i | −0.286129 | − | 0.104142i | ||||
\(651\) | 7.47236e9 | − | 2.71972e9i | 1.06151 | − | 0.386358i | ||||
\(652\) | −4.89343e9 | + | 4.10607e9i | −0.691428 | + | 0.580177i | ||||
\(653\) | −6.28851e9 | − | 1.08920e10i | −0.883795 | − | 1.53078i | −0.847089 | − | 0.531452i | \(-0.821647\pi\) |
−0.0367063 | − | 0.999326i | \(-0.511687\pi\) | |||||||
\(654\) | 2.35852e9 | − | 4.08507e9i | 0.329699 | − | 0.571055i | ||||
\(655\) | −5.04758e8 | − | 2.86262e9i | −0.0701840 | − | 0.398033i | ||||
\(656\) | −1.05543e8 | − | 5.98563e8i | −0.0145971 | − | 0.0827840i | ||||
\(657\) | 9.25174e8 | − | 1.60245e9i | 0.127275 | − | 0.220448i | ||||
\(658\) | 3.80519e9 | + | 6.59079e9i | 0.520698 | + | 0.901876i | ||||
\(659\) | 6.77053e9 | − | 5.68115e9i | 0.921560 | − | 0.773281i | −0.0527228 | − | 0.998609i | \(-0.516790\pi\) |
0.974283 | + | 0.225328i | \(0.0723455\pi\) | |||||||
\(660\) | −1.73610e9 | + | 6.31890e8i | −0.235056 | + | 0.0855535i | ||||
\(661\) | −9.19228e9 | − | 3.34572e9i | −1.23799 | − | 0.450593i | −0.361665 | − | 0.932308i | \(-0.617792\pi\) |
−0.876328 | + | 0.481715i | \(0.840014\pi\) | |||||||
\(662\) | 3.89234e9 | + | 3.26606e9i | 0.521444 | + | 0.437543i | ||||
\(663\) | −7.82618e8 | + | 4.43845e9i | −0.104292 | + | 0.591471i | ||||
\(664\) | −1.41582e9 | −0.187681 | ||||||||
\(665\) | −5.56601e9 | − | 2.29045e9i | −0.733953 | − | 0.302027i | ||||
\(666\) | −1.77398e9 | −0.232696 | ||||||||
\(667\) | −9.12692e8 | + | 5.17614e9i | −0.119092 | + | 0.675407i | ||||
\(668\) | −1.99429e9 | − | 1.67341e9i | −0.258864 | − | 0.217212i | ||||
\(669\) | 1.33512e9 | + | 4.85945e8i | 0.172397 | + | 0.0627474i | ||||
\(670\) | −1.33767e9 | + | 4.86873e8i | −0.171826 | + | 0.0625394i | ||||
\(671\) | 8.89527e9 | − | 7.46402e9i | 1.13666 | − | 0.953771i | ||||
\(672\) | 4.40487e8 | + | 7.62947e8i | 0.0559939 | + | 0.0969844i | ||||
\(673\) | 1.24146e9 | − | 2.15028e9i | 0.156994 | − | 0.271921i | −0.776790 | − | 0.629760i | \(-0.783153\pi\) |
0.933783 | + | 0.357839i | \(0.116486\pi\) | |||||||
\(674\) | 8.03470e8 | + | 4.55671e9i | 0.101079 | + | 0.573247i | ||||
\(675\) | −6.09780e8 | − | 3.45823e9i | −0.0763150 | − | 0.432804i | ||||
\(676\) | 1.69944e8 | − | 2.94352e8i | 0.0211589 | − | 0.0366483i | ||||
\(677\) | 2.40290e9 | + | 4.16195e9i | 0.297629 | + | 0.515509i | 0.975593 | − | 0.219586i | \(-0.0704708\pi\) |
−0.677964 | + | 0.735095i | \(0.737137\pi\) | |||||||
\(678\) | 7.04632e8 | − | 5.91257e8i | 0.0868278 | − | 0.0728571i | ||||
\(679\) | −2.31119e9 | + | 8.41206e8i | −0.283330 | + | 0.103124i | ||||
\(680\) | −2.14239e9 | − | 7.79767e8i | −0.261287 | − | 0.0951007i | ||||
\(681\) | 9.45809e8 | + | 7.93628e8i | 0.114760 | + | 0.0962947i | ||||
\(682\) | 2.06731e9 | − | 1.17243e10i | 0.249551 | − | 1.41527i | ||||
\(683\) | −4.06650e9 | −0.488369 | −0.244184 | − | 0.969729i | \(-0.578520\pi\) | ||||
−0.244184 | + | 0.969729i | \(0.578520\pi\) | |||||||
\(684\) | 3.61076e8 | + | 2.69448e9i | 0.0431422 | + | 0.321943i | ||||
\(685\) | 1.01422e10 | 1.20564 | ||||||||
\(686\) | −9.49537e8 | + | 5.38509e9i | −0.112299 | + | 0.636881i | ||||
\(687\) | 6.06535e9 | + | 5.08943e9i | 0.713686 | + | 0.598854i | ||||
\(688\) | 1.64353e9 | + | 5.98197e8i | 0.192406 | + | 0.0700301i | ||||
\(689\) | −1.01820e10 | + | 3.70596e9i | −1.18595 | + | 0.431652i | ||||
\(690\) | 2.76460e9 | − | 2.31977e9i | 0.320376 | − | 0.268827i | ||||
\(691\) | 1.15635e9 | + | 2.00286e9i | 0.133327 | + | 0.230929i | 0.924957 | − | 0.380072i | \(-0.124101\pi\) |
−0.791630 | + | 0.611000i | \(0.790767\pi\) | |||||||
\(692\) | 2.71875e9 | − | 4.70901e9i | 0.311887 | − | 0.540205i | ||||
\(693\) | −1.20563e9 | − | 6.83745e9i | −0.137609 | − | 0.780419i | ||||
\(694\) | −7.18328e8 | − | 4.07384e9i | −0.0815764 | − | 0.462643i | ||||
\(695\) | −2.91736e9 | + | 5.05301e9i | −0.329642 | + | 0.570957i | ||||
\(696\) | −4.73707e8 | − | 8.20485e8i | −0.0532571 | − | 0.0922440i | ||||
\(697\) | 2.44204e9 | − | 2.04912e9i | 0.273173 | − | 0.229220i | ||||
\(698\) | 4.25526e9 | − | 1.54879e9i | 0.473622 | − | 0.172384i | ||||
\(699\) | −5.73940e9 | − | 2.08897e9i | −0.635619 | − | 0.231346i | ||||
\(700\) | −1.67437e9 | − | 1.40496e9i | −0.184505 | − | 0.154818i | ||||
\(701\) | 2.96111e9 | − | 1.67933e10i | 0.324670 | − | 1.84129i | −0.187318 | − | 0.982299i | \(-0.559979\pi\) |
0.511987 | − | 0.858993i | \(-0.328910\pi\) | |||||||
\(702\) | −6.05491e9 | −0.660584 | ||||||||
\(703\) | 4.44707e9 | − | 1.41347e9i | 0.482759 | − | 0.153442i | ||||
\(704\) | 1.31894e9 | 0.142470 | ||||||||
\(705\) | −9.75837e8 | + | 5.53424e9i | −0.104885 | + | 0.594835i | ||||
\(706\) | −8.31531e9 | − | 6.97738e9i | −0.889329 | − | 0.746235i | ||||
\(707\) | −5.97116e9 | − | 2.17332e9i | −0.635464 | − | 0.231290i | ||||
\(708\) | 5.91291e7 | − | 2.15212e7i | 0.00626159 | − | 0.00227903i | ||||
\(709\) | 8.41139e9 | − | 7.05799e9i | 0.886351 | − | 0.743737i | −0.0811237 | − | 0.996704i | \(-0.525851\pi\) |
0.967475 | + | 0.252967i | \(0.0814064\pi\) | |||||||
\(710\) | 3.93663e9 | + | 6.81845e9i | 0.412782 | + | 0.714959i | ||||
\(711\) | −2.54977e9 | + | 4.41634e9i | −0.266047 | + | 0.460806i | ||||
\(712\) | 5.61006e8 | + | 3.18162e9i | 0.0582489 | + | 0.330346i | ||||
\(713\) | 4.03825e9 | + | 2.29020e10i | 0.417234 | + | 2.36625i | ||||
\(714\) | −2.31033e9 | + | 4.00161e9i | −0.237536 | + | 0.411425i | ||||
\(715\) | −3.95183e9 | − | 6.84477e9i | −0.404322 | − | 0.700306i | ||||
\(716\) | −8.22824e8 | + | 6.90432e8i | −0.0837744 | + | 0.0702951i | ||||
\(717\) | −2.08146e9 | + | 7.57589e8i | −0.210887 | + | 0.0767567i | ||||
\(718\) | 1.03374e10 | + | 3.76249e9i | 1.04226 | + | 0.379350i | ||||
\(719\) | 6.03540e9 | + | 5.06430e9i | 0.605557 | + | 0.508123i | 0.893226 | − | 0.449607i | \(-0.148436\pi\) |
−0.287669 | + | 0.957730i | \(0.592880\pi\) | |||||||
\(720\) | 2.09458e8 | − | 1.18789e9i | 0.0209138 | − | 0.118608i | ||||
\(721\) | −1.74668e10 | −1.73556 | ||||||||
\(722\) | −3.05207e9 | − | 6.46694e9i | −0.301797 | − | 0.639468i | ||||
\(723\) | 3.80782e9 | 0.374707 | ||||||||
\(724\) | −6.06504e8 | + | 3.43966e9i | −0.0593949 | + | 0.336845i | ||||
\(725\) | 1.80064e9 | + | 1.51092e9i | 0.175487 | + | 0.147251i | ||||
\(726\) | 1.21266e9 | + | 4.41374e8i | 0.117615 | + | 0.0428083i | ||||
\(727\) | 6.72634e9 | − | 2.44819e9i | 0.649244 | − | 0.236306i | 0.00365843 | − | 0.999993i | \(-0.498835\pi\) |
0.645586 | + | 0.763688i | \(0.276613\pi\) | |||||||
\(728\) | −2.88706e9 | + | 2.42253e9i | −0.277330 | + | 0.232707i | ||||
\(729\) | −2.77932e9 | − | 4.81393e9i | −0.265701 | − | 0.460207i | ||||
\(730\) | 1.07978e9 | − | 1.87023e9i | 0.102731 | − | 0.177936i | ||||
\(731\) | 1.59295e9 | + | 9.03409e9i | 0.150832 | + | 0.855409i | ||||
\(732\) | −7.09986e8 | − | 4.02653e9i | −0.0669053 | − | 0.379439i | ||||
\(733\) | −2.06758e9 | + | 3.58115e9i | −0.193909 | + | 0.335860i | −0.946542 | − | 0.322580i | \(-0.895450\pi\) |
0.752633 | + | 0.658440i | \(0.228783\pi\) | |||||||
\(734\) | 5.56426e9 | + | 9.63758e9i | 0.519363 | + | 0.899564i | ||||
\(735\) | 5.26513e8 | − | 4.41797e8i | 0.0489106 | − | 0.0410409i | ||||
\(736\) | −2.42103e9 | + | 8.81183e8i | −0.223835 | + | 0.0814693i | ||||
\(737\) | 4.05885e9 | + | 1.47730e9i | 0.373479 | + | 0.135935i | ||||
\(738\) | 1.29201e9 | + | 1.08412e9i | 0.118323 | + | 0.0992846i | ||||
\(739\) | −1.74072e9 | + | 9.87213e9i | −0.158662 | + | 0.899819i | 0.796698 | + | 0.604377i | \(0.206578\pi\) |
−0.955361 | + | 0.295442i | \(0.904533\pi\) | |||||||
\(740\) | −2.07042e9 | −0.187822 | ||||||||
\(741\) | 5.97748e9 | − | 1.89990e9i | 0.539703 | − | 0.171541i | ||||
\(742\) | −1.11090e10 | −0.998298 | ||||||||
\(743\) | −1.02844e9 | + | 5.83259e9i | −0.0919854 | + | 0.521675i | 0.903644 | + | 0.428284i | \(0.140882\pi\) |
−0.995630 | + | 0.0933910i | \(0.970229\pi\) | |||||||
\(744\) | −3.21116e9 | − | 2.69449e9i | −0.285862 | − | 0.239867i | ||||
\(745\) | 1.90493e9 | + | 6.93338e8i | 0.168784 | + | 0.0614325i | ||||
\(746\) | −1.24787e10 | + | 4.54189e9i | −1.10049 | + | 0.400544i | ||||
\(747\) | 3.00964e9 | − | 2.52539e9i | 0.264176 | − | 0.221670i | ||||
\(748\) | 3.45889e9 | + | 5.99097e9i | 0.302191 | + | 0.523410i | ||||
\(749\) | −8.89151e9 | + | 1.54005e10i | −0.773195 | + | 1.33921i | ||||
\(750\) | −9.02957e8 | − | 5.12092e9i | −0.0781542 | − | 0.443235i | ||||
\(751\) | 3.31282e9 | + | 1.87880e10i | 0.285403 | + | 1.61860i | 0.703842 | + | 0.710357i | \(0.251466\pi\) |
−0.418439 | + | 0.908245i | \(0.637423\pi\) | |||||||
\(752\) | 2.00592e9 | − | 3.47435e9i | 0.172009 | − | 0.297928i | ||||
\(753\) | 8.30310e8 | + | 1.43814e9i | 0.0708693 | + | 0.122749i | ||||
\(754\) | 3.10479e9 | − | 2.60523e9i | 0.263774 | − | 0.221333i | ||||
\(755\) | −8.36268e9 | + | 3.04377e9i | −0.707182 | + | 0.257393i | ||||
\(756\) | −5.83335e9 | − | 2.12317e9i | −0.491011 | − | 0.178714i | ||||
\(757\) | −4.36032e9 | − | 3.65874e9i | −0.365328 | − | 0.306546i | 0.441582 | − | 0.897221i | \(-0.354417\pi\) |
−0.806910 | + | 0.590674i | \(0.798862\pi\) | |||||||
\(758\) | 2.63034e9 | − | 1.49174e10i | 0.219366 | − | 1.24409i | ||||
\(759\) | −1.09504e10 | −0.909044 | ||||||||
\(760\) | 4.21414e8 | + | 3.14475e9i | 0.0348226 | + | 0.259859i | ||||
\(761\) | −1.23108e10 | −1.01261 | −0.506303 | − | 0.862356i | \(-0.668988\pi\) | ||||
−0.506303 | + | 0.862356i | \(0.668988\pi\) | |||||||
\(762\) | 3.31364e8 | − | 1.87926e9i | 0.0271308 | − | 0.153867i | ||||
\(763\) | 1.58484e10 | + | 1.32984e10i | 1.29167 | + | 1.08384i | ||||
\(764\) | −2.82386e9 | − | 1.02780e9i | −0.229095 | − | 0.0833838i | ||||
\(765\) | 5.94500e9 | − | 2.16380e9i | 0.480106 | − | 0.174744i | ||||
\(766\) | 9.88993e8 | − | 8.29864e8i | 0.0795046 | − | 0.0667123i | ||||
\(767\) | 1.34593e8 | + | 2.33123e8i | 0.0107706 | + | 0.0186552i | ||||
\(768\) | 2.32204e8 | − | 4.02190e8i | 0.0184972 | − | 0.0320381i | ||||
\(769\) | −2.16004e9 | − | 1.22502e10i | −0.171285 | − | 0.971405i | −0.942345 | − | 0.334643i | \(-0.891384\pi\) |
0.771060 | − | 0.636762i | \(-0.219727\pi\) | |||||||
\(770\) | −1.40709e9 | − | 7.98002e9i | −0.111072 | − | 0.629922i | ||||
\(771\) | −4.43919e9 | + | 7.68890e9i | −0.348830 | + | 0.604191i | ||||
\(772\) | 2.64116e9 | + | 4.57462e9i | 0.206601 | + | 0.357844i | ||||
\(773\) | 5.14310e9 | − | 4.31558e9i | 0.400495 | − | 0.336055i | −0.420190 | − | 0.907436i | \(-0.638037\pi\) |
0.820685 | + | 0.571381i | \(0.193592\pi\) | |||||||
\(774\) | −4.56070e9 | + | 1.65996e9i | −0.353540 | + | 0.128678i | ||||
\(775\) | 9.77300e9 | + | 3.55708e9i | 0.754175 | + | 0.274497i | ||||
\(776\) | 9.93211e8 | + | 8.33403e8i | 0.0763001 | + | 0.0640234i | ||||
\(777\) | −7.28650e8 | + | 4.13238e9i | −0.0557244 | + | 0.316029i | ||||
\(778\) | −1.12579e10 | −0.857097 | ||||||||
\(779\) | −4.10267e9 | − | 1.68828e9i | −0.310946 | − | 0.127957i | ||||
\(780\) | −2.78293e9 | −0.209977 | ||||||||
\(781\) | 4.14838e9 | − | 2.35266e10i | 0.311602 | − | 1.76718i | ||||
\(782\) | −1.03516e10 | − | 8.68605e9i | −0.774079 | − | 0.649529i | ||||
\(783\) | 6.27328e9 | + | 2.28329e9i | 0.467012 | + | 0.169979i | ||||
\(784\) | −4.61081e8 | + | 1.67820e8i | −0.0341721 | + | 0.0124376i | ||||
\(785\) | 2.90491e9 | − | 2.43751e9i | 0.214333 | − | 0.179847i | ||||
\(786\) | 1.55278e9 | + | 2.68949e9i | 0.114059 | + | 0.197557i | ||||
\(787\) | −2.14313e9 | + | 3.71201e9i | −0.156725 | + | 0.271455i | −0.933686 | − | 0.358094i | \(-0.883427\pi\) |
0.776961 | + | 0.629549i | \(0.216760\pi\) | |||||||
\(788\) | −2.05760e9 | − | 1.16692e10i | −0.149802 | − | 0.849572i | ||||
\(789\) | −1.79964e9 | − | 1.02063e10i | −0.130442 | − | 0.739771i | ||||
\(790\) | −2.97585e9 | + | 5.15433e9i | −0.214742 | + | 0.371944i | ||||
\(791\) | 2.01716e9 | + | 3.49383e9i | 0.144918 | + | 0.251006i | ||||
\(792\) | −2.80371e9 | + | 2.35259e9i | −0.200537 | + | 0.168271i | ||||
\(793\) | 1.64363e10 | − | 5.98232e9i | 1.17044 | − | 0.426004i | ||||
\(794\) | 9.25874e9 | + | 3.36991e9i | 0.656418 | + | 0.238916i | ||||
\(795\) | −6.28388e9 | − | 5.27280e9i | −0.443550 | − | 0.372183i | ||||
\(796\) | 1.35911e8 | − | 7.70791e8i | 0.00955123 | − | 0.0541677i | ||||
\(797\) | −1.90380e10 | −1.33204 | −0.666022 | − | 0.745933i | \(-0.732004\pi\) | ||||
−0.666022 | + | 0.745933i | \(0.732004\pi\) | |||||||
\(798\) | 6.42496e9 | + | 2.65637e8i | 0.447569 | + | 0.0185045i | ||||
\(799\) | 2.10418e10 | 1.45939 | ||||||||
\(800\) | −2.00080e8 | + | 1.13471e9i | −0.0138162 | + | 0.0783557i | ||||
\(801\) | −6.86759e9 | − | 5.76259e9i | −0.472161 | − | 0.396190i | ||||
\(802\) | −8.43866e9 | − | 3.07142e9i | −0.577648 | − | 0.210247i | ||||
\(803\) | −6.15748e9 | + | 2.24114e9i | −0.419661 | + | 0.152744i | ||||
\(804\) | 1.16505e9 | − | 9.77594e8i | 0.0790586 | − | 0.0663380i | ||||
\(805\) | 7.91427e9 | + | 1.37079e10i | 0.534718 | + | 0.926159i | ||||
\(806\) | 8.96637e9 | − | 1.55302e10i | 0.603176 | − | 1.04473i | ||||
\(807\) | 1.07756e9 | + | 6.11112e9i | 0.0721742 | + | 0.409320i | ||||
\(808\) | 5.81674e8 | + | 3.29884e9i | 0.0387918 | + | 0.219999i | ||||
\(809\) | −1.41561e10 | + | 2.45190e10i | −0.939989 | + | 1.62811i | −0.174502 | + | 0.984657i | \(0.555831\pi\) |
−0.765487 | + | 0.643451i | \(0.777502\pi\) | |||||||
\(810\) | 2.84236e8 | + | 4.92311e8i | 0.0187924 | + | 0.0325493i | ||||
\(811\) | −9.35575e9 | + | 7.85041e9i | −0.615894 | + | 0.516796i | −0.896510 | − | 0.443024i | \(-0.853906\pi\) |
0.280616 | + | 0.959820i | \(0.409461\pi\) | |||||||
\(812\) | 3.90471e9 | − | 1.42120e9i | 0.255943 | − | 0.0931555i | ||||
\(813\) | −1.21176e10 | − | 4.41043e9i | −0.790857 | − | 0.287849i | ||||
\(814\) | 4.81244e9 | + | 4.03812e9i | 0.312738 | + | 0.262418i | ||||
\(815\) | 3.59247e9 | − | 2.03739e10i | 0.232456 | − | 1.31832i | ||||
\(816\) | 2.43579e9 | 0.156937 | ||||||||
\(817\) | 1.01103e10 | − | 7.79512e9i | 0.648615 | − | 0.500087i | ||||
\(818\) | 2.03817e10 | 1.30198 | ||||||||
\(819\) | 1.81604e9 | − | 1.02993e10i | 0.115513 | − | 0.655108i | ||||
\(820\) | 1.50791e9 | + | 1.26529e9i | 0.0955052 | + | 0.0801384i | ||||
\(821\) | −3.52837e9 | − | 1.28422e9i | −0.222522 | − | 0.0809914i | 0.228353 | − | 0.973578i | \(-0.426666\pi\) |
−0.450875 | + | 0.892587i | \(0.648888\pi\) | |||||||
\(822\) | −1.01823e10 | + | 3.70606e9i | −0.639433 | + | 0.232734i | ||||
\(823\) | 7.39854e9 | − | 6.20811e9i | 0.462643 | − | 0.388204i | −0.381459 | − | 0.924386i | \(-0.624578\pi\) |
0.844103 | + | 0.536182i | \(0.180134\pi\) | |||||||
\(824\) | 4.60383e9 | + | 7.97407e9i | 0.286665 | + | 0.496518i | ||||
\(825\) | −2.44862e9 | + | 4.24113e9i | −0.151821 | + | 0.262962i | ||||
\(826\) | 4.79235e7 | + | 2.71788e8i | 0.00295882 | + | 0.0167803i | ||||
\(827\) | −1.21199e9 | − | 6.87352e9i | −0.0745124 | − | 0.422581i | −0.999131 | − | 0.0416859i | \(-0.986727\pi\) |
0.924618 | − | 0.380895i | \(-0.124384\pi\) | |||||||
\(828\) | 3.57468e9 | − | 6.19153e9i | 0.218842 | − | 0.379046i | ||||
\(829\) | −1.05870e10 | − | 1.83373e10i | −0.645406 | − | 1.11788i | −0.984207 | − | 0.177019i | \(-0.943355\pi\) |
0.338801 | − | 0.940858i | \(-0.389979\pi\) | |||||||
\(830\) | 3.51257e9 | − | 2.94740e9i | 0.213232 | − | 0.178923i | ||||
\(831\) | −6.87056e9 | + | 2.50068e9i | −0.415326 | + | 0.151166i | ||||
\(832\) | 1.86691e9 | + | 6.79501e8i | 0.112381 | + | 0.0409033i | ||||
\(833\) | −1.97145e9 | − | 1.65424e9i | −0.118176 | − | 0.0991612i | ||||
\(834\) | 1.08247e9 | − | 6.13901e9i | 0.0646154 | − | 0.366452i | ||||
\(835\) | 8.43136e9 | 0.501181 | ||||||||
\(836\) | 5.15395e9 | − | 8.13151e9i | 0.305083 | − | 0.481337i | ||||
\(837\) | 2.95377e10 | 1.74116 | ||||||||
\(838\) | −1.11369e9 | + | 6.31605e9i | −0.0653747 | + | 0.370759i | ||||
\(839\) | 1.41876e10 | + | 1.19048e10i | 0.829358 | + | 0.695914i | 0.955143 | − | 0.296144i | \(-0.0957008\pi\) |
−0.125786 | + | 0.992057i | \(0.540145\pi\) | |||||||
\(840\) | −2.68110e9 | − | 9.75839e8i | −0.156076 | − | 0.0568069i | ||||
\(841\) | 1.20104e10 | − | 4.37143e9i | 0.696260 | − | 0.253418i | ||||
\(842\) | −1.29645e10 | + | 1.08785e10i | −0.748454 | + | 0.628027i | ||||
\(843\) | 5.88543e8 | + | 1.01939e9i | 0.0338362 | + | 0.0586060i | ||||
\(844\) | −7.15860e8 | + | 1.23991e9i | −0.0409854 | + | 0.0709888i | ||||
\(845\) | 1.91148e8 | + | 1.08405e9i | 0.0108986 | + | 0.0618091i | ||||
\(846\) | 1.93315e9 | + | 1.09635e10i | 0.109767 | + | 0.622518i | ||||
\(847\) | −2.83001e9 | + | 4.90172e9i | −0.160028 | + | 0.277176i | ||||
\(848\) | 2.92806e9 | + | 5.07156e9i | 0.164890 | + | 0.285598i | ||||
\(849\) | 1.20703e10 | − | 1.01282e10i | 0.676926 | − | 0.568008i | ||||
\(850\) | −5.67885e9 | + | 2.06693e9i | −0.317171 | + | 0.115441i | ||||
\(851\) | −1.15315e10 | − | 4.19712e9i | −0.641405 | − | 0.233452i | ||||
\(852\) | −6.44371e9 | − | 5.40692e9i | −0.356942 | − | 0.299510i | ||||
\(853\) | 4.41040e8 | − | 2.50126e9i | 0.0243308 | − | 0.137987i | −0.970223 | − | 0.242215i | \(-0.922126\pi\) |
0.994553 | + | 0.104228i | \(0.0332372\pi\) | |||||||
\(854\) | 1.79326e10 | 0.985234 | ||||||||
\(855\) | −6.50508e9 | − | 5.93319e9i | −0.355935 | − | 0.324644i | ||||
\(856\) | 9.37437e9 | 0.510839 | ||||||||
\(857\) | 5.26981e9 | − | 2.98866e10i | 0.285998 | − | 1.62197i | −0.415703 | − | 0.909501i | \(-0.636464\pi\) |
0.701700 | − | 0.712472i | \(-0.252425\pi\) | |||||||
\(858\) | 6.46859e9 | + | 5.42779e9i | 0.349626 | + | 0.293371i | ||||
\(859\) | −1.58753e10 | − | 5.77815e9i | −0.854569 | − | 0.311038i | −0.122667 | − | 0.992448i | \(-0.539145\pi\) |
−0.731902 | + | 0.681410i | \(0.761367\pi\) | |||||||
\(860\) | −5.32282e9 | + | 1.93735e9i | −0.285362 | + | 0.103863i | ||||
\(861\) | 3.05609e9 | − | 2.56436e9i | 0.163176 | − | 0.136921i | ||||
\(862\) | −3.01494e9 | − | 5.22203e9i | −0.160326 | − | 0.277692i | ||||
\(863\) | −1.02206e10 | + | 1.77026e10i | −0.541302 | + | 0.937562i | 0.457528 | + | 0.889195i | \(0.348735\pi\) |
−0.998830 | + | 0.0483668i | \(0.984598\pi\) | |||||||
\(864\) | 5.68249e8 | + | 3.22270e9i | 0.0299737 | + | 0.169990i | ||||
\(865\) | 3.05796e9 | + | 1.73426e10i | 0.160648 | + | 0.911081i | ||||
\(866\) | −9.54195e9 | + | 1.65271e10i | −0.499257 | + | 0.864739i | ||||
\(867\) | 7.08523e8 | + | 1.22720e9i | 0.0369222 | + | 0.0639510i | ||||
\(868\) | 1.40840e10 | − | 1.18179e10i | 0.730981 | − | 0.613366i | ||||
\(869\) | 1.69700e10 | − | 6.17656e9i | 0.877226 | − | 0.319284i | ||||
\(870\) | 2.88329e9 | + | 1.04943e9i | 0.148447 | + | 0.0540303i | ||||
\(871\) | 4.98406e9 | + | 4.18212e9i | 0.255576 | + | 0.214454i | ||||
\(872\) | 1.89382e9 | − | 1.07404e10i | 0.0967234 | − | 0.548546i | ||||
\(873\) | −3.59783e9 | −0.183017 | ||||||||
\(874\) | −4.02786e9 | + | 1.83694e10i | −0.204072 | + | 0.930690i | ||||
\(875\) | 2.28065e10 | 1.15088 | ||||||||
\(876\) | −4.00646e8 | + | 2.27218e9i | −0.0201371 | + | 0.114203i | ||||
\(877\) | 6.86292e9 | + | 5.75867e9i | 0.343566 | + | 0.288286i | 0.798200 | − | 0.602392i | \(-0.205786\pi\) |
−0.454634 | + | 0.890678i | \(0.650230\pi\) | |||||||
\(878\) | −1.51757e9 | − | 5.52352e8i | −0.0756692 | − | 0.0275413i | ||||
\(879\) | −2.14802e10 | + | 7.81815e9i | −1.06679 | + | 0.388278i | ||||
\(880\) | −3.27223e9 | + | 2.74572e9i | −0.161865 | + | 0.135821i | ||||
\(881\) | 8.94597e9 | + | 1.54949e10i | 0.440770 | + | 0.763436i | 0.997747 | − | 0.0670922i | \(-0.0213722\pi\) |
−0.556977 | + | 0.830528i | \(0.688039\pi\) | |||||||
\(882\) | 6.80792e8 | − | 1.17917e9i | 0.0334098 | − | 0.0578675i | ||||
\(883\) | −4.72383e9 | − | 2.67901e10i | −0.230904 | − | 1.30952i | −0.851071 | − | 0.525051i | \(-0.824046\pi\) |
0.620167 | − | 0.784470i | \(-0.287065\pi\) | |||||||
\(884\) | 1.80946e9 | + | 1.02620e10i | 0.0880981 | + | 0.499629i | ||||
\(885\) | −1.01894e8 | + | 1.76485e8i | −0.00494136 | + | 0.00855869i | ||||
\(886\) | 4.10617e9 | + | 7.11209e9i | 0.198344 | + | 0.343541i | ||||
\(887\) | 5.14118e9 | − | 4.31396e9i | 0.247360 | − | 0.207560i | −0.510674 | − | 0.859774i | \(-0.670604\pi\) |
0.758035 | + | 0.652214i | \(0.226160\pi\) | |||||||
\(888\) | 2.07860e9 | − | 7.56549e8i | 0.0996153 | − | 0.0362570i | ||||
\(889\) | 7.86473e9 | + | 2.86253e9i | 0.375429 | + | 0.136645i | ||||
\(890\) | −8.01520e9 | − | 6.72555e9i | −0.381109 | − | 0.319788i | ||||
\(891\) | 2.99525e8 | − | 1.69869e9i | 0.0141860 | − | 0.0804529i | ||||
\(892\) | 3.28500e9 | 0.154974 | ||||||||
\(893\) | −1.35816e10 | − | 2.59433e10i | −0.638220 | − | 1.21912i | ||||
\(894\) | −2.16581e9 | −0.101377 | ||||||||
\(895\) | 6.04069e8 | − | 3.42584e9i | 0.0281647 | − | 0.159730i | ||||
\(896\) | 1.56033e9 | + | 1.30927e9i | 0.0724668 | + | 0.0608069i | ||||
\(897\) | −1.54999e10 | − | 5.64151e9i | −0.717061 | − | 0.260989i | ||||
\(898\) | −2.50657e10 | + | 9.12315e9i | −1.15508 | + | 0.420415i | ||||
\(899\) | −1.51461e10 | + | 1.27091e10i | −0.695253 | + | 0.583386i | ||||
\(900\) | −1.59866e9 | − | 2.76897e9i | −0.0730985 | − | 0.126610i | ||||
\(901\) | −1.53575e10 | + | 2.66000e10i | −0.699494 | + | 1.21156i | ||||
\(902\) | −1.03716e9 | − | 5.88202e9i | −0.0470568 | − | 0.266872i | ||||
\(903\) | 1.99350e9 | + | 1.13057e10i | 0.0900968 | + | 0.510964i | ||||
\(904\) | 1.06335e9 | − | 1.84178e9i | 0.0478728 | − | 0.0829181i | ||||
\(905\) | −5.65583e9 | − | 9.79619e9i | −0.253645 | − | 0.439326i | ||||
\(906\) | 7.28352e9 | − | 6.11160e9i | 0.325381 | − | 0.273027i | ||||
\(907\) | −6.31603e9 | + | 2.29885e9i | −0.281073 | + | 0.102302i | −0.478710 | − | 0.877973i | \(-0.658895\pi\) |
0.197637 | + | 0.980275i | \(0.436673\pi\) | |||||||
\(908\) | 2.68247e9 | + | 9.76340e8i | 0.118914 | + | 0.0432813i | ||||
\(909\) | −7.12060e9 | − | 5.97489e9i | −0.314444 | − | 0.263850i | ||||
\(910\) | 2.11951e9 | − | 1.20203e10i | 0.0932374 | − | 0.528776i | ||||
\(911\) | −3.37402e10 | −1.47854 | −0.739270 | − | 0.673409i | \(-0.764829\pi\) | ||||
−0.739270 | + | 0.673409i | \(0.764829\pi\) | |||||||
\(912\) | −1.57220e9 | − | 3.00319e9i | −0.0686318 | − | 0.131099i | ||||
\(913\) | −1.39131e10 | −0.605030 | ||||||||
\(914\) | 1.37302e9 | − | 7.78677e9i | 0.0594791 | − | 0.337323i | ||||
\(915\) | 1.01437e10 | + | 8.51157e9i | 0.437746 | + | 0.367313i | ||||
\(916\) | 1.72023e10 | + | 6.26113e9i | 0.739525 | + | 0.269165i | ||||
\(917\) | −1.27994e10 | + | 4.65859e9i | −0.548146 | + | 0.199509i | ||||
\(918\) | −1.31481e10 | + | 1.10326e10i | −0.560937 | + | 0.470682i | ||||
\(919\) | 5.20396e9 | + | 9.01352e9i | 0.221172 | + | 0.383080i | 0.955164 | − | 0.296077i | \(-0.0956786\pi\) |
−0.733992 | + | 0.679158i | \(0.762345\pi\) | |||||||
\(920\) | 4.17203e9 | − | 7.22617e9i | 0.176640 | − | 0.305950i | ||||
\(921\) | −2.57347e9 | − | 1.45949e10i | −0.108545 | − | 0.615591i | ||||
\(922\) | −2.00571e9 | − | 1.13750e10i | −0.0842772 | − | 0.477960i | ||||
\(923\) | 1.79925e10 | − | 3.11639e10i | 0.753156 | − | 1.30450i | ||||
\(924\) | 4.32863e9 | + | 7.49740e9i | 0.180509 | + | 0.312650i | ||||
\(925\) | −4.20410e9 | + | 3.52766e9i | −0.174653 | + | 0.146552i | ||||
\(926\) | −2.53405e10 | + | 9.22319e9i | −1.04876 | + | 0.381718i | ||||
\(927\) | −2.40098e10 | − | 8.73884e9i | −0.989940 | − | 0.360309i | ||||
\(928\) | −1.67801e9 | − | 1.40801e9i | −0.0689248 | − | 0.0578348i | ||||
\(929\) | −4.89345e9 | + | 2.77521e10i | −0.200244 | + | 1.13564i | 0.704506 | + | 0.709698i | \(0.251169\pi\) |
−0.904750 | + | 0.425943i | \(0.859942\pi\) | |||||||
\(930\) | 1.35760e10 | 0.553454 | ||||||||
\(931\) | −7.67099e8 | + | 3.49842e9i | −0.0311550 | + | 0.142085i | ||||
\(932\) | −1.41215e10 | −0.571380 | ||||||||
\(933\) | −2.79942e9 | + | 1.58763e10i | −0.112845 | + | 0.639977i | ||||
\(934\) | 1.50814e10 | + | 1.26548e10i | 0.605658 | + | 0.508207i | ||||
\(935\) | −2.10531e10 | − | 7.66269e9i | −0.842316 | − | 0.306578i | ||||
\(936\) | −5.18057e9 | + | 1.88557e9i | −0.206496 | + | 0.0751585i | ||||
\(937\) | 3.05310e9 | − | 2.56186e9i | 0.121242 | − | 0.101734i | −0.580151 | − | 0.814509i | \(-0.697006\pi\) |
0.701393 | + | 0.712775i | \(0.252562\pi\) | |||||||
\(938\) | 3.33522e9 | + | 5.77676e9i | 0.131951 | + | 0.228547i | ||||
\(939\) | 1.45991e10 | − | 2.52863e10i | 0.575434 | − | 0.996682i | ||||
\(940\) | 2.25620e9 | + | 1.27955e10i | 0.0885991 | + | 0.502470i | ||||
\(941\) | 2.47626e9 | + | 1.40435e10i | 0.0968795 | + | 0.549431i | 0.994155 | + | 0.107960i | \(0.0344320\pi\) |
−0.897276 | + | 0.441471i | \(0.854457\pi\) | |||||||
\(942\) | −2.02571e9 | + | 3.50863e9i | −0.0789585 | + | 0.136760i | ||||
\(943\) | 5.83355e9 | + | 1.01040e10i | 0.226539 | + | 0.392376i | ||||
\(944\) | 1.11447e8 | − | 9.35152e7i | 0.00431188 | − | 0.00361810i | ||||
\(945\) | 1.88921e10 | − | 6.87617e9i | 0.728232 | − | 0.265055i | ||||
\(946\) | 1.61508e10 | + | 5.87842e9i | 0.620263 | + | 0.225757i | ||||
\(947\) | 3.37435e10 | + | 2.83141e10i | 1.29111 | + | 1.08337i | 0.991608 | + | 0.129279i | \(0.0412662\pi\) |
0.299506 | + | 0.954094i | \(0.403178\pi\) | |||||||
\(948\) | 1.10418e9 | − | 6.26210e9i | 0.0420930 | − | 0.238721i | ||||
\(949\) | −9.87028e9 | −0.374885 | ||||||||
\(950\) | 6.21385e9 | + | 5.66757e9i | 0.235141 | + | 0.214469i | ||||
\(951\) | −6.31896e9 | −0.238240 | ||||||||
\(952\) | −1.85513e9 | + | 1.05210e10i | −0.0696858 | + | 0.395208i | ||||
\(953\) | −1.09727e10 | − | 9.20719e9i | −0.410665 | − | 0.344589i | 0.413933 | − | 0.910307i | \(-0.364155\pi\) |
−0.824599 | + | 0.565718i | \(0.808599\pi\) | |||||||
\(954\) | −1.52704e10 | − | 5.55796e9i | −0.569416 | − | 0.207251i | ||||
\(955\) | 9.14546e9 | − | 3.32868e9i | 0.339777 | − | 0.123669i | ||||
\(956\) | −3.92315e9 | + | 3.29192e9i | −0.145222 | + | 0.121856i | ||||
\(957\) | −4.65507e9 | − | 8.06282e9i | −0.171686 | − | 0.297369i | ||||
\(958\) | −7.57206e9 | + | 1.31152e10i | −0.278250 | + | 0.481943i | ||||
\(959\) | −8.25265e9 | − | 4.68031e10i | −0.302154 | − | 1.71360i | ||||
\(960\) | 2.61176e8 | + | 1.48120e9i | 0.00952762 | + | 0.0540338i | ||||
\(961\) | −2.99844e10 | + | 5.19346e10i | −1.08984 | + | 1.88766i | ||||
\(962\) | 4.73145e9 | + | 8.19511e9i | 0.171349 | + | 0.296785i | ||||
\(963\) | −1.99273e10 | + | 1.67210e10i | −0.719047 | + | 0.603352i | ||||
\(964\) | 8.27297e9 | − | 3.01112e9i | 0.297435 | − | 0.108257i | ||||
\(965\) | −1.60758e10 | − | 5.85112e9i | −0.575874 | − | 0.209601i | ||||
\(966\) | −1.29545e10 | − | 1.08702e10i | −0.462383 | − | 0.387986i | ||||
\(967\) | 8.30307e9 | − | 4.70890e10i | 0.295288 | − | 1.67466i | −0.370741 | − | 0.928736i | \(-0.620896\pi\) |
0.666029 | − | 0.745926i | \(-0.267993\pi\) | |||||||
\(968\) | 2.98369e9 | 0.105728 | ||||||||
\(969\) | 9.51819e9 | − | 1.50171e10i | 0.336064 | − | 0.530216i | ||||
\(970\) | −4.19904e9 | −0.147723 | ||||||||
\(971\) | −7.30497e9 | + | 4.14285e10i | −0.256065 | + | 1.45222i | 0.537257 | + | 0.843418i | \(0.319460\pi\) |
−0.793323 | + | 0.608801i | \(0.791651\pi\) | |||||||
\(972\) | −1.11731e10 | − | 9.37533e9i | −0.390249 | − | 0.327457i | ||||
\(973\) | 2.56919e10 | + | 9.35107e9i | 0.894130 | + | 0.325437i | ||||
\(974\) | 1.58142e10 | − | 5.75591e9i | 0.548393 | − | 0.199599i | ||||
\(975\) | −5.65090e9 | + | 4.74166e9i | −0.195255 | + | 0.163838i | ||||
\(976\) | −4.72660e9 | − | 8.18671e9i | −0.162733 | − | 0.281861i | ||||
\(977\) | 1.27746e10 | − | 2.21262e10i | 0.438243 | − | 0.759059i | −0.559311 | − | 0.828958i | \(-0.688934\pi\) |
0.997554 | + | 0.0698989i | \(0.0222677\pi\) | |||||||
\(978\) | 3.83813e9 | + | 2.17671e10i | 0.131200 | + | 0.744072i | ||||
\(979\) | 5.51295e9 | + | 3.12655e10i | 0.187778 | + | 1.06494i | ||||
\(980\) | 7.94556e8 | − | 1.37621e9i | 0.0269670 | − | 0.0467083i | ||||
\(981\) | 1.51318e10 | + | 2.62091e10i | 0.511741 | + | 0.886362i | ||||
\(982\) | 7.48714e9 | − | 6.28246e9i | 0.252305 | − | 0.211709i | ||||
\(983\) | 3.28618e10 | − | 1.19607e10i | 1.10345 | − | 0.401624i | 0.274865 | − | 0.961483i | \(-0.411367\pi\) |
0.828588 | + | 0.559859i | \(0.189145\pi\) | |||||||
\(984\) | −1.97622e9 | − | 7.19285e8i | −0.0661229 | − | 0.0240668i | ||||
\(985\) | 2.93973e10 | + | 2.46673e10i | 0.980123 | + | 0.822421i | ||||
\(986\) | 1.99503e9 | − | 1.13144e10i | 0.0662798 | − | 0.375891i | ||||
\(987\) | 2.63328e10 | 0.871740 | ||||||||
\(988\) | 1.14845e10 | − | 8.85460e9i | 0.378845 | − | 0.292092i | ||||
\(989\) | −3.35735e10 | −1.10360 | ||||||||
\(990\) | 2.05832e9 | − | 1.16733e10i | 0.0674201 | − | 0.382358i | ||||
\(991\) | −3.82939e9 | − | 3.21324e9i | −0.124989 | − | 0.104878i | 0.578150 | − | 0.815930i | \(-0.303775\pi\) |
−0.703140 | + | 0.711052i | \(0.748219\pi\) | |||||||
\(992\) | −9.10739e9 | − | 3.31482e9i | −0.296212 | − | 0.107812i | ||||
\(993\) | 1.65209e10 | − | 6.01310e9i | 0.535440 | − | 0.194884i | ||||
\(994\) | 2.82618e10 | − | 2.37144e10i | 0.912739 | − | 0.765879i | ||||
\(995\) | 1.26741e9 | + | 2.19522e9i | 0.0407885 | + | 0.0706477i | ||||
\(996\) | −2.44945e9 | + | 4.24257e9i | −0.0785526 | + | 0.136057i | ||||
\(997\) | −4.00311e8 | − | 2.27028e9i | −0.0127928 | − | 0.0725514i | 0.977743 | − | 0.209806i | \(-0.0672832\pi\) |
−0.990536 | + | 0.137255i | \(0.956172\pi\) | |||||||
\(998\) | −1.04626e9 | − | 5.93362e9i | −0.0333182 | − | 0.188957i | ||||
\(999\) | −7.79335e9 | + | 1.34985e10i | −0.247312 | + | 0.428357i |
(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.a.17.2 | yes | 30 | |
19.9 | even | 9 | inner | 38.8.e.a.9.2 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.8.e.a.9.2 | ✓ | 30 | 19.9 | even | 9 | inner | |
38.8.e.a.17.2 | yes | 30 | 1.1 | even | 1 | trivial |