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 | 23.5 | ||
Character | \(\chi\) | \(=\) | 38.23 |
Dual form | 38.8.e.a.5.5 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.51754 | − | 2.73616i | −0.664463 | − | 0.241845i | ||||
\(3\) | 11.5048 | + | 65.2472i | 0.246012 | + | 1.39520i | 0.818131 | + | 0.575032i | \(0.195011\pi\) |
−0.572119 | + | 0.820171i | \(0.693878\pi\) | |||||||
\(4\) | 49.0268 | + | 41.1384i | 0.383022 | + | 0.321394i | ||||
\(5\) | 158.287 | − | 132.818i | 0.566304 | − | 0.475185i | −0.314113 | − | 0.949385i | \(-0.601707\pi\) |
0.880417 | + | 0.474200i | \(0.157263\pi\) | |||||||
\(6\) | 92.0387 | − | 521.978i | 0.173957 | − | 0.986558i | ||||
\(7\) | 668.912 | − | 1158.59i | 0.737099 | − | 1.27669i | −0.216697 | − | 0.976239i | \(-0.569528\pi\) |
0.953796 | − | 0.300454i | \(-0.0971383\pi\) | |||||||
\(8\) | −256.000 | − | 443.405i | −0.176777 | − | 0.306186i | ||||
\(9\) | −2069.73 | + | 753.319i | −0.946378 | + | 0.344453i | ||||
\(10\) | −1553.34 | + | 565.369i | −0.491209 | + | 0.178785i | ||||
\(11\) | 3797.30 | + | 6577.12i | 0.860203 | + | 1.48991i | 0.871733 | + | 0.489981i | \(0.162996\pi\) |
−0.0115306 | + | 0.999934i | \(0.503670\pi\) | |||||||
\(12\) | −2120.12 | + | 3672.16i | −0.354182 | + | 0.613461i | ||||
\(13\) | 1974.16 | − | 11196.0i | 0.249218 | − | 1.41339i | −0.561271 | − | 0.827632i | \(-0.689687\pi\) |
0.810489 | − | 0.585754i | \(-0.199201\pi\) | |||||||
\(14\) | −8198.66 | + | 6879.49i | −0.798537 | + | 0.670052i | ||||
\(15\) | 10487.1 | + | 8799.71i | 0.802297 | + | 0.673207i | ||||
\(16\) | 711.263 | + | 4033.77i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 1875.53 | + | 682.637i | 0.0925876 | + | 0.0336991i | 0.387899 | − | 0.921702i | \(-0.373201\pi\) |
−0.295311 | + | 0.955401i | \(0.595423\pi\) | |||||||
\(18\) | 17620.5 | 0.712137 | ||||||||
\(19\) | 23749.0 | + | 18161.9i | 0.794343 | + | 0.607469i | ||||
\(20\) | 13224.2 | 0.369628 | ||||||||
\(21\) | 83290.5 | + | 30315.2i | 1.96258 | + | 0.714321i | ||||
\(22\) | −10550.3 | − | 59833.8i | −0.211245 | − | 1.19803i | ||||
\(23\) | −5803.54 | − | 4869.75i | −0.0994594 | − | 0.0834563i | 0.591702 | − | 0.806157i | \(-0.298456\pi\) |
−0.691161 | + | 0.722700i | \(0.742901\pi\) | |||||||
\(24\) | 25985.7 | − | 21804.6i | 0.383703 | − | 0.321965i | ||||
\(25\) | −6152.29 | + | 34891.4i | −0.0787493 | + | 0.446610i | ||||
\(26\) | −45474.8 | + | 78764.7i | −0.507416 | + | 0.878871i | ||||
\(27\) | −515.392 | − | 892.685i | −0.00503923 | − | 0.00872821i | ||||
\(28\) | 80457.2 | − | 29284.0i | 0.692647 | − | 0.252103i | ||||
\(29\) | 185378. | − | 67472.0i | 1.41145 | − | 0.513725i | 0.479894 | − | 0.877327i | \(-0.340675\pi\) |
0.931555 | + | 0.363602i | \(0.118453\pi\) | |||||||
\(30\) | −54759.7 | − | 94846.5i | −0.370285 | − | 0.641353i | ||||
\(31\) | −122615. | + | 212375.i | −0.739224 | + | 1.28037i | 0.213621 | + | 0.976917i | \(0.431474\pi\) |
−0.952845 | + | 0.303457i | \(0.901859\pi\) | |||||||
\(32\) | 5690.10 | − | 32270.2i | 0.0306970 | − | 0.174091i | ||||
\(33\) | −385451. | + | 323432.i | −1.86711 | + | 1.56669i | ||||
\(34\) | −12231.6 | − | 10263.5i | −0.0533711 | − | 0.0447836i | ||||
\(35\) | −48002.0 | − | 272233.i | −0.189244 | − | 1.07325i | ||||
\(36\) | −132463. | − | 48212.4i | −0.473189 | − | 0.172227i | ||||
\(37\) | −431556. | −1.40065 | −0.700327 | − | 0.713822i | \(-0.746963\pi\) | ||||
−0.700327 | + | 0.713822i | \(0.746963\pi\) | |||||||
\(38\) | −128840. | − | 201514.i | −0.380898 | − | 0.595749i | ||||
\(39\) | 753219. | 2.03327 | ||||||||
\(40\) | −99413.7 | − | 36183.6i | −0.245604 | − | 0.0893927i | ||||
\(41\) | −34114.5 | − | 193473.i | −0.0773029 | − | 0.438406i | −0.998754 | − | 0.0499112i | \(-0.984106\pi\) |
0.921451 | − | 0.388495i | \(-0.127005\pi\) | |||||||
\(42\) | −543192. | − | 455792.i | −1.13131 | − | 0.949280i | ||||
\(43\) | 265254. | − | 222574.i | 0.508771 | − | 0.426909i | −0.351926 | − | 0.936028i | \(-0.614473\pi\) |
0.860696 | + | 0.509119i | \(0.170029\pi\) | |||||||
\(44\) | −84402.5 | + | 478670.i | −0.149373 | + | 0.847134i | ||||
\(45\) | −227556. | + | 394138.i | −0.372258 | + | 0.644770i | ||||
\(46\) | 30304.0 | + | 52488.0i | 0.0459036 | + | 0.0795074i | ||||
\(47\) | 783011. | − | 284993.i | 1.10008 | − | 0.400397i | 0.272736 | − | 0.962089i | \(-0.412071\pi\) |
0.827347 | + | 0.561692i | \(0.189849\pi\) | |||||||
\(48\) | −255009. | + | 92815.8i | −0.332822 | + | 0.121137i | ||||
\(49\) | −483115. | − | 836780.i | −0.586630 | − | 1.01607i | ||||
\(50\) | 141719. | − | 245464.i | 0.160336 | − | 0.277710i | ||||
\(51\) | −22962.5 | + | 130227.i | −0.0242395 | + | 0.137469i | ||||
\(52\) | 557372. | − | 467691.i | 0.549710 | − | 0.461261i | ||||
\(53\) | −34895.4 | − | 29280.7i | −0.0321960 | − | 0.0270157i | 0.626548 | − | 0.779383i | \(-0.284467\pi\) |
−0.658744 | + | 0.752367i | \(0.728912\pi\) | |||||||
\(54\) | 1431.95 | + | 8120.99i | 0.00123751 | + | 0.00701828i | ||||
\(55\) | 1.47462e6 | + | 536719.i | 1.19512 | + | 0.434988i | ||||
\(56\) | −684966. | −0.521208 | ||||||||
\(57\) | −911786. | + | 1.75851e6i | −0.652125 | + | 1.25771i | ||||
\(58\) | −1.57820e6 | −1.06210 | ||||||||
\(59\) | −241337. | − | 87839.6i | −0.152983 | − | 0.0556812i | 0.264394 | − | 0.964415i | \(-0.414828\pi\) |
−0.417377 | + | 0.908734i | \(0.637050\pi\) | |||||||
\(60\) | 152143. | + | 862844.i | 0.0909330 | + | 0.515707i | ||||
\(61\) | 883944. | + | 741717.i | 0.498621 | + | 0.418392i | 0.857104 | − | 0.515144i | \(-0.172261\pi\) |
−0.358483 | + | 0.933536i | \(0.616706\pi\) | |||||||
\(62\) | 1.50285e6 | − | 1.26104e6i | 0.800839 | − | 0.671984i | ||||
\(63\) | −511678. | + | 2.90187e6i | −0.257813 | + | 1.46213i | ||||
\(64\) | −131072. | + | 227023.i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −1.17455e6 | − | 2.03438e6i | −0.530487 | − | 0.918830i | ||||
\(66\) | 3.78261e6 | − | 1.37676e6i | 1.61952 | − | 0.589459i | ||||
\(67\) | −1.27278e6 | + | 463255.i | −0.517003 | + | 0.188174i | −0.587326 | − | 0.809351i | \(-0.699819\pi\) |
0.0703230 | + | 0.997524i | \(0.477597\pi\) | |||||||
\(68\) | 63868.7 | + | 110624.i | 0.0246324 | + | 0.0426646i | ||||
\(69\) | 250969. | − | 434691.i | 0.0919704 | − | 0.159297i | ||||
\(70\) | −384016. | + | 2.17786e6i | −0.133816 | + | 0.758906i | ||||
\(71\) | 393135. | − | 329880.i | 0.130358 | − | 0.109383i | −0.575278 | − | 0.817958i | \(-0.695106\pi\) |
0.705636 | + | 0.708575i | \(0.250662\pi\) | |||||||
\(72\) | 863876. | + | 724878.i | 0.272764 | + | 0.228876i | ||||
\(73\) | −559855. | − | 3.17510e6i | −0.168440 | − | 0.955272i | −0.945446 | − | 0.325779i | \(-0.894374\pi\) |
0.777006 | − | 0.629493i | \(-0.216738\pi\) | |||||||
\(74\) | 3.24424e6 | + | 1.18081e6i | 0.930683 | + | 0.338741i | ||||
\(75\) | −2.34735e6 | −0.642484 | ||||||||
\(76\) | 417187. | + | 1.86742e6i | 0.109014 | + | 0.487971i | ||||
\(77\) | 1.01602e7 | 2.53622 | ||||||||
\(78\) | −5.66236e6 | − | 2.06093e6i | −1.35103 | − | 0.491736i | ||||
\(79\) | −1.14908e6 | − | 6.51675e6i | −0.262213 | − | 1.48709i | −0.776854 | − | 0.629680i | \(-0.783186\pi\) |
0.514641 | − | 0.857406i | \(-0.327925\pi\) | |||||||
\(80\) | 648342. | + | 544024.i | 0.141576 | + | 0.118796i | ||||
\(81\) | −3.63772e6 | + | 3.05241e6i | −0.760556 | + | 0.638182i | ||||
\(82\) | −272916. | + | 1.54778e6i | −0.0546614 | + | 0.310000i | ||||
\(83\) | 3.35748e6 | − | 5.81533e6i | 0.644526 | − | 1.11635i | −0.339885 | − | 0.940467i | \(-0.610388\pi\) |
0.984411 | − | 0.175884i | \(-0.0562785\pi\) | |||||||
\(84\) | 2.83635e6 | + | 4.91270e6i | 0.522134 | + | 0.904362i | ||||
\(85\) | 387538. | − | 141052.i | 0.0684460 | − | 0.0249123i | ||||
\(86\) | −2.60306e6 | + | 947435.i | −0.441305 | + | 0.160622i | ||||
\(87\) | 6.53510e6 | + | 1.13191e7i | 1.06398 | + | 1.84287i | ||||
\(88\) | 1.94422e6 | − | 3.36749e6i | 0.304128 | − | 0.526764i | ||||
\(89\) | −2.20222e6 | + | 1.24894e7i | −0.331128 | + | 1.87792i | 0.131418 | + | 0.991327i | \(0.458047\pi\) |
−0.462547 | + | 0.886595i | \(0.653064\pi\) | |||||||
\(90\) | 2.78908e6 | − | 2.34032e6i | 0.403286 | − | 0.338397i | ||||
\(91\) | −1.16510e7 | − | 9.77637e6i | −1.62076 | − | 1.35998i | ||||
\(92\) | −84195.6 | − | 477497.i | −0.0112728 | − | 0.0639313i | ||||
\(93\) | −1.52675e7 | − | 5.55692e6i | −1.96824 | − | 0.716381i | ||||
\(94\) | −6.66610e6 | −0.827798 | ||||||||
\(95\) | 6.17139e6 | − | 279514.i | 0.738500 | − | 0.0334481i | ||||
\(96\) | 2.17100e6 | 0.250444 | ||||||||
\(97\) | 1.64314e6 | + | 598053.i | 0.182798 | + | 0.0665332i | 0.431798 | − | 0.901970i | \(-0.357879\pi\) |
−0.248999 | + | 0.968504i | \(0.580102\pi\) | |||||||
\(98\) | 1.34227e6 | + | 7.61241e6i | 0.144062 | + | 0.817017i | ||||
\(99\) | −1.28141e7 | − | 1.07523e7i | −1.32728 | − | 1.11372i | ||||
\(100\) | −1.73700e6 | + | 1.45752e6i | −0.173700 | + | 0.145752i | ||||
\(101\) | 1.70243e6 | − | 9.65496e6i | 0.164416 | − | 0.932451i | −0.785248 | − | 0.619181i | \(-0.787465\pi\) |
0.949664 | − | 0.313269i | \(-0.101424\pi\) | |||||||
\(102\) | 528943. | − | 916156.i | 0.0493524 | − | 0.0854808i | ||||
\(103\) | −1.11639e6 | − | 1.93364e6i | −0.100667 | − | 0.174360i | 0.811293 | − | 0.584640i | \(-0.198764\pi\) |
−0.911960 | + | 0.410280i | \(0.865431\pi\) | |||||||
\(104\) | −5.46974e6 | + | 1.99082e6i | −0.476815 | + | 0.173547i | ||||
\(105\) | 1.72102e7 | − | 6.26400e6i | 1.45085 | − | 0.528067i | ||||
\(106\) | 182211. | + | 315598.i | 0.0148595 | + | 0.0257374i | ||||
\(107\) | −4.31228e6 | + | 7.46909e6i | −0.340301 | + | 0.589419i | −0.984489 | − | 0.175448i | \(-0.943862\pi\) |
0.644187 | + | 0.764868i | \(0.277196\pi\) | |||||||
\(108\) | 11455.6 | − | 64967.9i | 0.000875053 | − | 0.00496267i | ||||
\(109\) | −4.81053e6 | + | 4.03651e6i | −0.355795 | + | 0.298548i | −0.803112 | − | 0.595828i | \(-0.796824\pi\) |
0.447317 | + | 0.894376i | \(0.352380\pi\) | |||||||
\(110\) | −9.61700e6 | − | 8.06962e6i | −0.688914 | − | 0.578068i | ||||
\(111\) | −4.96498e6 | − | 2.81578e7i | −0.344578 | − | 1.95420i | ||||
\(112\) | 5.14926e6 | + | 1.87418e6i | 0.346323 | + | 0.126051i | ||||
\(113\) | −7.98248e6 | −0.520431 | −0.260216 | − | 0.965551i | \(-0.583794\pi\) | ||||
−0.260216 | + | 0.965551i | \(0.583794\pi\) | |||||||
\(114\) | 1.16659e7 | − | 1.07249e7i | 0.737485 | − | 0.677992i | ||||
\(115\) | −1.56542e6 | −0.0959814 | ||||||||
\(116\) | 1.18642e7 | + | 4.31821e6i | 0.705724 | + | 0.256863i | ||||
\(117\) | 4.34819e6 | + | 2.46598e7i | 0.250991 | + | 1.42344i | ||||
\(118\) | 1.57392e6 | + | 1.32068e6i | 0.0881852 | + | 0.0739962i | ||||
\(119\) | 2.04546e6 | − | 1.71635e6i | 0.111270 | − | 0.0933663i | ||||
\(120\) | 1.21714e6 | − | 6.90275e6i | 0.0642994 | − | 0.364660i | ||||
\(121\) | −1.90954e7 | + | 3.30742e7i | −0.979897 | + | 1.69723i | ||||
\(122\) | −4.61563e6 | − | 7.99450e6i | −0.230129 | − | 0.398595i | ||||
\(123\) | 1.22311e7 | − | 4.45175e6i | 0.592648 | − | 0.215706i | ||||
\(124\) | −1.47482e7 | + | 5.36789e6i | −0.694644 | + | 0.252830i | ||||
\(125\) | 1.17318e7 | + | 2.03201e7i | 0.537255 | + | 0.930552i | ||||
\(126\) | 1.17865e7 | − | 2.04149e7i | 0.524916 | − | 0.909181i | ||||
\(127\) | −4.02223e6 | + | 2.28112e7i | −0.174242 | + | 0.988178i | 0.764772 | + | 0.644301i | \(0.222852\pi\) |
−0.939015 | + | 0.343877i | \(0.888260\pi\) | |||||||
\(128\) | 1.60651e6 | − | 1.34802e6i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | 1.75741e7 | + | 1.47464e7i | 0.720789 | + | 0.604814i | ||||
\(130\) | 3.26334e6 | + | 1.85073e7i | 0.130275 | + | 0.738824i | ||||
\(131\) | −1.91150e7 | − | 6.95728e6i | −0.742889 | − | 0.270390i | −0.0572789 | − | 0.998358i | \(-0.518242\pi\) |
−0.685610 | + | 0.727969i | \(0.740465\pi\) | |||||||
\(132\) | −3.22029e7 | −1.21867 | ||||||||
\(133\) | 3.69282e7 | − | 1.53666e7i | 1.36106 | − | 0.566367i | ||||
\(134\) | 1.08357e7 | 0.389038 | ||||||||
\(135\) | −200145. | − | 72846.7i | −0.00700125 | − | 0.00254825i | ||||
\(136\) | −177451. | − | 1.00637e6i | −0.00604912 | − | 0.0343063i | ||||
\(137\) | 1.23075e7 | + | 1.03272e7i | 0.408928 | + | 0.343131i | 0.823932 | − | 0.566688i | \(-0.191776\pi\) |
−0.415005 | + | 0.909819i | \(0.636220\pi\) | |||||||
\(138\) | −3.07605e6 | + | 2.58111e6i | −0.0996361 | + | 0.0836046i | ||||
\(139\) | −3.30271e6 | + | 1.87306e7i | −0.104308 | + | 0.591561i | 0.887186 | + | 0.461412i | \(0.152657\pi\) |
−0.991494 | + | 0.130150i | \(0.958454\pi\) | |||||||
\(140\) | 8.84585e6 | − | 1.53215e7i | 0.272453 | − | 0.471902i | ||||
\(141\) | 2.76034e7 | + | 4.78105e7i | 0.829269 | + | 1.43634i | ||||
\(142\) | −3.85801e6 | + | 1.40420e6i | −0.113072 | + | 0.0411548i | ||||
\(143\) | 8.11338e7 | − | 2.95303e7i | 2.32020 | − | 0.844485i | ||||
\(144\) | −4.51084e6 | − | 7.81300e6i | −0.125889 | − | 0.218047i | ||||
\(145\) | 2.03813e7 | − | 3.53015e7i | 0.555194 | − | 0.961623i | ||||
\(146\) | −4.47884e6 | + | 2.54008e7i | −0.119105 | + | 0.675479i | ||||
\(147\) | 4.90394e7 | − | 4.11489e7i | 1.27331 | − | 1.06843i | ||||
\(148\) | −2.11578e7 | − | 1.77535e7i | −0.536482 | − | 0.450162i | ||||
\(149\) | −6.23597e6 | − | 3.53659e7i | −0.154437 | − | 0.875857i | −0.959299 | − | 0.282394i | \(-0.908871\pi\) |
0.804861 | − | 0.593463i | \(-0.202240\pi\) | |||||||
\(150\) | 1.76463e7 | + | 6.42272e6i | 0.426907 | + | 0.155382i | ||||
\(151\) | −6.85090e7 | −1.61930 | −0.809652 | − | 0.586910i | \(-0.800344\pi\) | ||||
−0.809652 | + | 0.586910i | \(0.800344\pi\) | |||||||
\(152\) | 1.97334e6 | − | 1.51799e7i | 0.0455773 | − | 0.350603i | ||||
\(153\) | −4.39608e6 | −0.0992306 | ||||||||
\(154\) | −7.63801e7 | − | 2.78001e7i | −1.68522 | − | 0.613371i | ||||
\(155\) | 8.79899e6 | + | 4.99015e7i | 0.189789 | + | 1.07635i | ||||
\(156\) | 3.69280e7 | + | 3.09862e7i | 0.778788 | + | 0.653481i | ||||
\(157\) | −2.38845e7 | + | 2.00415e7i | −0.492570 | + | 0.413315i | −0.854946 | − | 0.518717i | \(-0.826410\pi\) |
0.362376 | + | 0.932032i | \(0.381966\pi\) | |||||||
\(158\) | −9.19263e6 | + | 5.21340e7i | −0.185413 | + | 1.05153i | ||||
\(159\) | 1.50902e6 | − | 2.61370e6i | 0.0297718 | − | 0.0515662i | ||||
\(160\) | −3.38540e6 | − | 5.86369e6i | −0.0653417 | − | 0.113175i | ||||
\(161\) | −9.52410e6 | + | 3.46649e6i | −0.179860 | + | 0.0654635i | ||||
\(162\) | 3.56986e7 | − | 1.29932e7i | 0.659702 | − | 0.240112i | ||||
\(163\) | −4.15136e7 | − | 7.19037e7i | −0.750817 | − | 1.30045i | −0.947427 | − | 0.319971i | \(-0.896327\pi\) |
0.196610 | − | 0.980482i | \(-0.437007\pi\) | |||||||
\(164\) | 6.28664e6 | − | 1.08888e7i | 0.111292 | − | 0.192764i | ||||
\(165\) | −1.80541e7 | + | 1.02390e8i | −0.312883 | + | 1.77445i | ||||
\(166\) | −4.11517e7 | + | 3.45304e7i | −0.698247 | + | 0.585899i | ||||
\(167\) | −2.43679e7 | − | 2.04471e7i | −0.404865 | − | 0.339722i | 0.417505 | − | 0.908674i | \(-0.362905\pi\) |
−0.822371 | + | 0.568952i | \(0.807349\pi\) | |||||||
\(168\) | −7.88042e6 | − | 4.46921e7i | −0.128223 | − | 0.727191i | ||||
\(169\) | −6.24886e7 | − | 2.27440e7i | −0.995858 | − | 0.362463i | ||||
\(170\) | −3.29928e6 | −0.0515048 | ||||||||
\(171\) | −6.28357e7 | − | 1.96996e7i | −0.960993 | − | 0.301281i | ||||
\(172\) | 2.21609e7 | 0.332076 | ||||||||
\(173\) | −7.42834e7 | − | 2.70369e7i | −1.09076 | − | 0.397005i | −0.266859 | − | 0.963736i | \(-0.585986\pi\) |
−0.823903 | + | 0.566731i | \(0.808208\pi\) | |||||||
\(174\) | −1.81569e7 | − | 1.02973e8i | −0.261289 | − | 1.48184i | ||||
\(175\) | 3.63094e7 | + | 3.04672e7i | 0.512137 | + | 0.429734i | ||||
\(176\) | −2.38297e7 | + | 1.99955e7i | −0.329477 | + | 0.276464i | ||||
\(177\) | 2.95474e6 | − | 1.67572e7i | 0.0400510 | − | 0.227140i | ||||
\(178\) | 5.07284e7 | − | 8.78641e7i | 0.674188 | − | 1.16773i | ||||
\(179\) | −3.03372e7 | − | 5.25455e7i | −0.395357 | − | 0.684779i | 0.597790 | − | 0.801653i | \(-0.296046\pi\) |
−0.993147 | + | 0.116874i | \(0.962712\pi\) | |||||||
\(180\) | −2.73706e7 | + | 9.96207e6i | −0.349808 | + | 0.127320i | ||||
\(181\) | 1.19923e7 | − | 4.36483e6i | 0.150323 | − | 0.0547132i | −0.265763 | − | 0.964038i | \(-0.585624\pi\) |
0.416086 | + | 0.909325i | \(0.363402\pi\) | |||||||
\(182\) | 6.08373e7 | + | 1.05373e8i | 0.748032 | + | 1.29563i | ||||
\(183\) | −3.82253e7 | + | 6.62082e7i | −0.461076 | + | 0.798607i | ||||
\(184\) | −673565. | + | 3.81998e6i | −0.00797108 | + | 0.0452062i | ||||
\(185\) | −6.83096e7 | + | 5.73185e7i | −0.793196 | + | 0.665570i | ||||
\(186\) | 9.95695e7 | + | 8.35488e7i | 1.13457 | + | 0.952017i | ||||
\(187\) | 2.63217e6 | + | 1.49278e7i | 0.0294353 | + | 0.166936i | ||||
\(188\) | 5.01127e7 | + | 1.82395e7i | 0.550041 | + | 0.200199i | ||||
\(189\) | −1.37901e6 | −0.0148577 | ||||||||
\(190\) | −4.71585e7 | − | 1.47847e7i | −0.498795 | − | 0.156377i | ||||
\(191\) | 1.60471e8 | 1.66640 | 0.833200 | − | 0.552972i | \(-0.186506\pi\) | ||||
0.833200 | + | 0.552972i | \(0.186506\pi\) | |||||||
\(192\) | −1.63206e7 | − | 5.94021e6i | −0.166411 | − | 0.0605686i | ||||
\(193\) | −1.53751e7 | − | 8.71968e7i | −0.153946 | − | 0.873071i | −0.959743 | − | 0.280880i | \(-0.909374\pi\) |
0.805797 | − | 0.592192i | \(-0.201737\pi\) | |||||||
\(194\) | −1.07160e7 | − | 8.99177e6i | −0.105372 | − | 0.0884177i | ||||
\(195\) | 1.19225e8 | − | 1.00041e8i | 1.15145 | − | 0.966180i | ||||
\(196\) | 1.07382e7 | − | 6.08993e7i | 0.101867 | − | 0.577718i | ||||
\(197\) | −1.99328e7 | + | 3.45246e7i | −0.185753 | + | 0.321734i | −0.943830 | − | 0.330431i | \(-0.892806\pi\) |
0.758077 | + | 0.652165i | \(0.226139\pi\) | |||||||
\(198\) | 6.69102e7 | + | 1.15892e8i | 0.612582 | + | 1.06102i | ||||
\(199\) | 5.21580e7 | − | 1.89840e7i | 0.469176 | − | 0.170766i | −0.0966032 | − | 0.995323i | \(-0.530798\pi\) |
0.565779 | + | 0.824557i | \(0.308576\pi\) | |||||||
\(200\) | 1.70460e7 | − | 6.20424e6i | 0.150667 | − | 0.0548382i | ||||
\(201\) | −4.48693e7 | − | 7.77159e7i | −0.389729 | − | 0.675031i | ||||
\(202\) | −3.92156e7 | + | 6.79235e7i | −0.334757 | + | 0.579816i | ||||
\(203\) | 4.58291e7 | − | 2.59910e8i | 0.384508 | − | 2.18065i | ||||
\(204\) | −6.48310e6 | + | 5.43996e6i | −0.0534659 | + | 0.0448632i | ||||
\(205\) | −3.10966e7 | − | 2.60932e7i | −0.252101 | − | 0.211538i | ||||
\(206\) | 3.10175e6 | + | 1.75909e7i | 0.0247213 | + | 0.140201i | ||||
\(207\) | 1.56802e7 | + | 5.70714e6i | 0.122873 | + | 0.0447221i | ||||
\(208\) | 4.65662e7 | 0.358797 | ||||||||
\(209\) | −2.92709e7 | + | 2.25166e8i | −0.221781 | + | 1.70605i | ||||
\(210\) | −1.46518e8 | −1.09175 | ||||||||
\(211\) | −1.73425e8 | − | 6.31214e7i | −1.27093 | − | 0.462581i | −0.383509 | − | 0.923537i | \(-0.625284\pi\) |
−0.887423 | + | 0.460956i | \(0.847507\pi\) | |||||||
\(212\) | −506249. | − | 2.87108e6i | −0.00364912 | − | 0.0206952i | ||||
\(213\) | 2.60467e7 | + | 2.18558e7i | 0.184682 | + | 0.154966i | ||||
\(214\) | 5.28544e7 | − | 4.43501e7i | 0.368666 | − | 0.309347i | ||||
\(215\) | 1.24242e7 | − | 7.04611e7i | 0.0852577 | − | 0.483520i | ||||
\(216\) | −263881. | + | 457055.i | −0.00178164 | + | 0.00308589i | ||||
\(217\) | 1.64037e8 | + | 2.84120e8i | 1.08976 | + | 1.88753i | ||||
\(218\) | 4.72079e7 | − | 1.71823e7i | 0.308615 | − | 0.112327i | ||||
\(219\) | 2.00725e8 | − | 7.30580e7i | 1.29136 | − | 0.470017i | ||||
\(220\) | 5.02164e7 | + | 8.69773e7i | 0.317955 | + | 0.550715i | ||||
\(221\) | 1.13454e7 | − | 1.96508e7i | 0.0707044 | − | 0.122464i | ||||
\(222\) | −3.97199e7 | + | 2.25263e8i | −0.243653 | + | 1.38183i | ||||
\(223\) | −2.10313e8 | + | 1.76473e8i | −1.26999 | + | 1.06564i | −0.275442 | + | 0.961318i | \(0.588824\pi\) |
−0.994543 | + | 0.104327i | \(0.966731\pi\) | |||||||
\(224\) | −3.35817e7 | − | 2.81784e7i | −0.199634 | − | 0.167513i | ||||
\(225\) | −1.35508e7 | − | 7.68503e7i | −0.0793095 | − | 0.449787i | ||||
\(226\) | 6.00086e7 | + | 2.18414e7i | 0.345807 | + | 0.125864i | ||||
\(227\) | 2.24540e7 | 0.127410 | 0.0637050 | − | 0.997969i | \(-0.479708\pi\) | ||||
0.0637050 | + | 0.997969i | \(0.479708\pi\) | |||||||
\(228\) | −1.17044e8 | + | 4.87046e7i | −0.654000 | + | 0.272144i | ||||
\(229\) | −1.30363e8 | −0.717348 | −0.358674 | − | 0.933463i | \(-0.616771\pi\) | ||||
−0.358674 | + | 0.933463i | \(0.616771\pi\) | |||||||
\(230\) | 1.17681e7 | + | 4.28323e6i | 0.0637761 | + | 0.0232126i | ||||
\(231\) | 1.16892e8 | + | 6.62927e8i | 0.623940 | + | 3.53854i | ||||
\(232\) | −7.73742e7 | − | 6.49246e7i | −0.406807 | − | 0.341351i | ||||
\(233\) | −1.78067e8 | + | 1.49416e8i | −0.922229 | + | 0.773842i | −0.974406 | − | 0.224796i | \(-0.927828\pi\) |
0.0521769 | + | 0.998638i | \(0.483384\pi\) | |||||||
\(234\) | 3.47855e7 | − | 1.97279e8i | 0.177477 | − | 1.00652i | ||||
\(235\) | 8.60879e7 | − | 1.49109e8i | 0.432718 | − | 0.749489i | ||||
\(236\) | −8.21843e6 | − | 1.42347e7i | −0.0407002 | − | 0.0704949i | ||||
\(237\) | 4.11980e8 | − | 1.49948e8i | 2.01028 | − | 0.731682i | ||||
\(238\) | −2.00730e7 | + | 7.30599e6i | −0.0965148 | + | 0.0351285i | ||||
\(239\) | −1.46795e8 | − | 2.54257e8i | −0.695536 | − | 1.20470i | −0.970000 | − | 0.243106i | \(-0.921834\pi\) |
0.274464 | − | 0.961597i | \(-0.411500\pi\) | |||||||
\(240\) | −2.80369e7 | + | 4.85614e7i | −0.130916 | + | 0.226752i | ||||
\(241\) | 5.95474e7 | − | 3.37710e8i | 0.274033 | − | 1.55412i | −0.467983 | − | 0.883738i | \(-0.655019\pi\) |
0.742016 | − | 0.670382i | \(-0.233870\pi\) | |||||||
\(242\) | 2.34047e8 | − | 1.96389e8i | 1.06157 | − | 0.890764i | ||||
\(243\) | −2.42739e8 | − | 2.03682e8i | −1.08522 | − | 0.910608i | ||||
\(244\) | 1.28239e7 | + | 7.27281e7i | 0.0565141 | + | 0.320507i | ||||
\(245\) | −1.87610e8 | − | 6.82846e7i | −0.815034 | − | 0.296648i | ||||
\(246\) | −1.04128e8 | −0.445960 | ||||||||
\(247\) | 2.50225e8 | − | 2.30039e8i | 1.05655 | − | 0.971321i | ||||
\(248\) | 1.25557e8 | 0.522710 | ||||||||
\(249\) | 4.18061e8 | + | 1.52162e8i | 1.71610 | + | 0.624609i | ||||
\(250\) | −3.25953e7 | − | 1.84857e8i | −0.131937 | − | 0.748250i | ||||
\(251\) | 8.77505e7 | + | 7.36314e7i | 0.350261 | + | 0.293904i | 0.800895 | − | 0.598805i | \(-0.204358\pi\) |
−0.450634 | + | 0.892709i | \(0.648802\pi\) | |||||||
\(252\) | −1.44464e8 | + | 1.21220e8i | −0.568668 | + | 0.477169i | ||||
\(253\) | 9.99113e6 | − | 5.66625e7i | 0.0387876 | − | 0.219975i | ||||
\(254\) | 9.26524e7 | − | 1.60479e8i | 0.354763 | − | 0.614468i | ||||
\(255\) | 1.36618e7 | + | 2.36630e7i | 0.0515963 | + | 0.0893674i | ||||
\(256\) | −1.57654e7 | + | 5.73815e6i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 2.72137e7 | − | 9.90498e6i | 0.100005 | − | 0.0363989i | −0.291533 | − | 0.956561i | \(-0.594165\pi\) |
0.391538 | + | 0.920162i | \(0.371943\pi\) | |||||||
\(258\) | −9.17652e7 | − | 1.58942e8i | −0.332666 | − | 0.576195i | ||||
\(259\) | −2.88673e8 | + | 4.99996e8i | −1.03242 | + | 1.78821i | ||||
\(260\) | 2.61067e7 | − | 1.48058e8i | 0.0921181 | − | 0.522428i | ||||
\(261\) | −3.32854e8 | + | 2.79297e8i | −1.15881 | + | 0.972356i | ||||
\(262\) | 1.24661e8 | + | 1.04603e8i | 0.428230 | + | 0.359328i | ||||
\(263\) | 3.45702e7 | + | 1.96057e8i | 0.117181 | + | 0.664566i | 0.985647 | + | 0.168818i | \(0.0539949\pi\) |
−0.868466 | + | 0.495748i | \(0.834894\pi\) | |||||||
\(264\) | 2.42087e8 | + | 8.81124e7i | 0.809762 | + | 0.294729i | ||||
\(265\) | −9.41249e6 | −0.0310702 | ||||||||
\(266\) | −3.19655e8 | + | 1.44778e7i | −1.04135 | + | 0.0471646i | ||||
\(267\) | −8.40236e8 | −2.70154 | ||||||||
\(268\) | −8.14582e7 | − | 2.96483e7i | −0.258501 | − | 0.0940868i | ||||
\(269\) | 5.43849e7 | + | 3.08432e8i | 0.170351 | + | 0.966110i | 0.943374 | + | 0.331732i | \(0.107633\pi\) |
−0.773022 | + | 0.634379i | \(0.781256\pi\) | |||||||
\(270\) | 1.30527e6 | + | 1.09526e6i | 0.00403579 | + | 0.00338643i | ||||
\(271\) | −1.66816e8 | + | 1.39976e8i | −0.509150 | + | 0.427228i | −0.860830 | − | 0.508893i | \(-0.830055\pi\) |
0.351680 | + | 0.936120i | \(0.385611\pi\) | |||||||
\(272\) | −1.41961e6 | + | 8.05100e6i | −0.00427737 | + | 0.0242582i | ||||
\(273\) | 5.03838e8 | − | 8.72672e8i | 1.49872 | − | 2.59586i | ||||
\(274\) | −6.42650e7 | − | 1.11310e8i | −0.188733 | − | 0.326895i | ||||
\(275\) | −2.52847e8 | + | 9.20287e7i | −0.733151 | + | 0.266845i | ||||
\(276\) | 3.01867e7 | − | 1.09871e7i | 0.0864239 | − | 0.0314557i | ||||
\(277\) | 7.97653e6 | + | 1.38158e7i | 0.0225494 | + | 0.0390567i | 0.877080 | − | 0.480345i | \(-0.159488\pi\) |
−0.854531 | + | 0.519401i | \(0.826155\pi\) | |||||||
\(278\) | 7.60782e7 | − | 1.31771e8i | 0.212375 | − | 0.367844i | ||||
\(279\) | 9.37929e7 | − | 5.31926e8i | 0.258556 | − | 1.46635i | ||||
\(280\) | −1.08421e8 | + | 9.09760e7i | −0.295162 | + | 0.247670i | ||||
\(281\) | 4.83323e8 | + | 4.05556e8i | 1.29947 | + | 1.09038i | 0.990237 | + | 0.139397i | \(0.0445163\pi\) |
0.309232 | + | 0.950987i | \(0.399928\pi\) | |||||||
\(282\) | −7.66924e7 | − | 4.34944e8i | −0.203648 | − | 1.15495i | ||||
\(283\) | 4.32206e8 | + | 1.57310e8i | 1.13354 | + | 0.412577i | 0.839578 | − | 0.543239i | \(-0.182802\pi\) |
0.293967 | + | 0.955816i | \(0.405025\pi\) | |||||||
\(284\) | 3.28449e7 | 0.0850851 | ||||||||
\(285\) | 8.92384e7 | + | 3.99450e8i | 0.228347 | + | 1.02213i | ||||
\(286\) | −6.90727e8 | −1.74592 | ||||||||
\(287\) | −2.46975e8 | − | 8.98917e7i | −0.616690 | − | 0.224457i | ||||
\(288\) | 1.25328e7 | + | 7.10769e7i | 0.0309153 | + | 0.175330i | ||||
\(289\) | −3.11286e8 | − | 2.61200e8i | −0.758608 | − | 0.636547i | ||||
\(290\) | −2.49808e8 | + | 2.09614e8i | −0.601469 | + | 0.504693i | ||||
\(291\) | −2.01172e7 | + | 1.14091e8i | −0.0478567 | + | 0.271409i | ||||
\(292\) | 1.03171e8 | − | 1.78697e8i | 0.242502 | − | 0.420026i | ||||
\(293\) | −2.23173e8 | − | 3.86547e8i | −0.518329 | − | 0.897772i | −0.999773 | − | 0.0212950i | \(-0.993221\pi\) |
0.481445 | − | 0.876477i | \(-0.340112\pi\) | |||||||
\(294\) | −4.81246e8 | + | 1.75159e8i | −1.10446 | + | 0.401992i | ||||
\(295\) | −4.98672e7 | + | 1.81502e7i | −0.113094 | + | 0.0411627i | ||||
\(296\) | 1.10478e8 | + | 1.91354e8i | 0.247603 | + | 0.428861i | ||||
\(297\) | 3.91420e6 | − | 6.77959e6i | 0.00866952 | − | 0.0150160i | ||||
\(298\) | −4.98877e7 | + | 2.82927e8i | −0.109204 | + | 0.619324i | ||||
\(299\) | −6.59788e7 | + | 5.53628e7i | −0.142743 | + | 0.119776i | ||||
\(300\) | −1.15083e8 | − | 9.65661e7i | −0.246086 | − | 0.206491i | ||||
\(301\) | −8.04409e7 | − | 4.56203e8i | −0.170018 | − | 0.964218i | ||||
\(302\) | 5.15019e8 | + | 1.87452e8i | 1.07597 | + | 0.391620i | ||||
\(303\) | 6.49546e8 | 1.34141 | ||||||||
\(304\) | −5.63693e7 | + | 1.08716e8i | −0.115076 | + | 0.221940i | ||||
\(305\) | 2.38430e8 | 0.481185 | ||||||||
\(306\) | 3.30477e7 | + | 1.20284e7i | 0.0659351 | + | 0.0239984i | ||||
\(307\) | −9.93500e6 | − | 5.63442e7i | −0.0195967 | − | 0.111139i | 0.973440 | − | 0.228941i | \(-0.0735262\pi\) |
−0.993037 | + | 0.117802i | \(0.962415\pi\) | |||||||
\(308\) | 4.98125e8 | + | 4.17976e8i | 0.971428 | + | 0.815125i | ||||
\(309\) | 1.13321e8 | − | 9.50876e7i | 0.218502 | − | 0.183345i | ||||
\(310\) | 7.03919e7 | − | 3.99212e8i | 0.134201 | − | 0.761094i | ||||
\(311\) | −1.73291e7 | + | 3.00149e7i | −0.0326674 | + | 0.0565817i | −0.881897 | − | 0.471442i | \(-0.843734\pi\) |
0.849229 | + | 0.528024i | \(0.177067\pi\) | |||||||
\(312\) | −1.92824e8 | − | 3.33981e8i | −0.359435 | − | 0.622560i | ||||
\(313\) | −3.02419e8 | + | 1.10072e8i | −0.557447 | + | 0.202894i | −0.605352 | − | 0.795958i | \(-0.706968\pi\) |
0.0479050 | + | 0.998852i | \(0.484746\pi\) | |||||||
\(314\) | 2.34390e8 | − | 8.53109e7i | 0.427253 | − | 0.155507i | ||||
\(315\) | 3.04430e8 | + | 5.27287e8i | 0.548782 | + | 0.950518i | ||||
\(316\) | 2.11753e8 | − | 3.66767e8i | 0.377507 | − | 0.653861i | ||||
\(317\) | 3.01739e6 | − | 1.71125e7i | 0.00532016 | − | 0.0301721i | −0.982032 | − | 0.188714i | \(-0.939568\pi\) |
0.987352 | + | 0.158542i | \(0.0506792\pi\) | |||||||
\(318\) | −1.84956e7 | + | 1.55196e7i | −0.0322532 | + | 0.0270637i | ||||
\(319\) | 1.14771e9 | + | 9.63041e8i | 1.97954 | + | 1.66103i | ||||
\(320\) | 9.40590e6 | + | 5.33435e7i | 0.0160463 | + | 0.0910032i | ||||
\(321\) | −5.36949e8 | − | 1.95434e8i | −0.906078 | − | 0.329785i | ||||
\(322\) | 8.10827e7 | 0.135342 | ||||||||
\(323\) | 3.21440e7 | + | 5.02752e7i | 0.0530751 | + | 0.0830128i | ||||
\(324\) | −3.03917e8 | −0.496418 | ||||||||
\(325\) | 3.78498e8 | + | 1.37762e8i | 0.611606 | + | 0.222606i | ||||
\(326\) | 1.15340e8 | + | 6.54127e8i | 0.184382 | + | 1.04568i | ||||
\(327\) | −3.18716e8 | − | 2.67434e8i | −0.504064 | − | 0.422960i | ||||
\(328\) | −7.70536e7 | + | 6.46556e7i | −0.120569 | + | 0.101169i | ||||
\(329\) | 1.93576e8 | − | 1.09782e9i | 0.299685 | − | 1.69960i | ||||
\(330\) | 4.15878e8 | − | 7.20322e8i | 0.637041 | − | 1.10339i | ||||
\(331\) | 4.77479e8 | + | 8.27018e8i | 0.723696 | + | 1.25348i | 0.959509 | + | 0.281680i | \(0.0908915\pi\) |
−0.235813 | + | 0.971799i | \(0.575775\pi\) | |||||||
\(332\) | 4.03840e8 | − | 1.46986e8i | 0.605656 | − | 0.220441i | ||||
\(333\) | 8.93203e8 | − | 3.25099e8i | 1.32555 | − | 0.482460i | ||||
\(334\) | 1.27240e8 | + | 2.20386e8i | 0.186858 | + | 0.323647i | ||||
\(335\) | −1.39936e8 | + | 2.42376e8i | −0.203363 | + | 0.352235i | ||||
\(336\) | −6.30434e7 | + | 3.57537e8i | −0.0906676 | + | 0.514202i | ||||
\(337\) | −6.35382e8 | + | 5.33149e8i | −0.904337 | + | 0.758829i | −0.971033 | − | 0.238944i | \(-0.923199\pi\) |
0.0666958 | + | 0.997773i | \(0.478754\pi\) | |||||||
\(338\) | 4.07529e8 | + | 3.41958e8i | 0.574051 | + | 0.481686i | ||||
\(339\) | −9.18372e7 | − | 5.20835e8i | −0.128032 | − | 0.726107i | ||||
\(340\) | 2.48024e7 | + | 9.02735e6i | 0.0342230 | + | 0.0124562i | ||||
\(341\) | −1.86242e9 | −2.54353 | ||||||||
\(342\) | 4.18469e8 | + | 3.20022e8i | 0.565681 | + | 0.432601i | ||||
\(343\) | −1.90891e8 | −0.255420 | ||||||||
\(344\) | −1.66596e8 | − | 6.06358e7i | −0.220652 | − | 0.0803109i | ||||
\(345\) | −1.80099e7 | − | 1.02139e8i | −0.0236126 | − | 0.133914i | ||||
\(346\) | 4.84451e8 | + | 4.06502e8i | 0.628758 | + | 0.527590i | ||||
\(347\) | 6.96023e8 | − | 5.84033e8i | 0.894274 | − | 0.750385i | −0.0747890 | − | 0.997199i | \(-0.523828\pi\) |
0.969063 | + | 0.246815i | \(0.0793839\pi\) | |||||||
\(348\) | −1.45256e8 | + | 8.23785e8i | −0.184759 | + | 1.04782i | ||||
\(349\) | −5.42605e8 | + | 9.39820e8i | −0.683274 | + | 1.18347i | 0.290702 | + | 0.956814i | \(0.406111\pi\) |
−0.973976 | + | 0.226652i | \(0.927222\pi\) | |||||||
\(350\) | −1.89594e8 | − | 3.28387e8i | −0.236367 | − | 0.409400i | ||||
\(351\) | −1.10120e7 | + | 4.00802e6i | −0.0135922 | + | 0.00494715i | ||||
\(352\) | 2.33852e8 | − | 8.51151e7i | 0.285786 | − | 0.104018i | ||||
\(353\) | −2.18355e8 | − | 3.78202e8i | −0.264212 | − | 0.457628i | 0.703145 | − | 0.711046i | \(-0.251778\pi\) |
−0.967357 | + | 0.253418i | \(0.918445\pi\) | |||||||
\(354\) | −6.80627e7 | + | 1.17888e8i | −0.0815451 | + | 0.141240i | ||||
\(355\) | 1.84140e7 | − | 1.04431e8i | 0.0218449 | − | 0.123888i | ||||
\(356\) | −6.21763e8 | + | 5.21721e8i | −0.730382 | + | 0.612863i | ||||
\(357\) | 1.35519e8 | + | 1.13714e8i | 0.157639 | + | 0.132275i | ||||
\(358\) | 8.42879e7 | + | 4.78021e8i | 0.0970901 | + | 0.550625i | ||||
\(359\) | 4.37821e8 | + | 1.59354e8i | 0.499420 | + | 0.181774i | 0.579433 | − | 0.815020i | \(-0.303274\pi\) |
−0.0800134 | + | 0.996794i | \(0.525496\pi\) | |||||||
\(360\) | 2.33017e8 | 0.263226 | ||||||||
\(361\) | 2.34161e8 | + | 8.62656e8i | 0.261962 | + | 0.965078i | ||||
\(362\) | −1.02095e8 | −0.113116 | ||||||||
\(363\) | −2.37769e9 | − | 8.65409e8i | −2.60905 | − | 0.949616i | ||||
\(364\) | −1.69029e8 | − | 9.58609e8i | −0.183698 | − | 1.04181i | ||||
\(365\) | −5.10329e8 | − | 4.28217e8i | −0.549319 | − | 0.460934i | ||||
\(366\) | 4.68517e8 | − | 3.93132e8i | 0.499507 | − | 0.419136i | ||||
\(367\) | 2.05741e8 | − | 1.16682e9i | 0.217265 | − | 1.23217i | −0.659667 | − | 0.751558i | \(-0.729303\pi\) |
0.876932 | − | 0.480614i | \(-0.159586\pi\) | |||||||
\(368\) | 1.55156e7 | − | 2.68738e7i | 0.0162294 | − | 0.0281101i | ||||
\(369\) | 2.16355e8 | + | 3.74737e8i | 0.224168 | + | 0.388271i | ||||
\(370\) | 6.70353e8 | − | 2.43988e8i | 0.688014 | − | 0.250417i | ||||
\(371\) | −5.72663e7 | + | 2.08432e7i | −0.0582224 | + | 0.0211912i | ||||
\(372\) | −5.19915e8 | − | 9.00520e8i | −0.523639 | − | 0.906970i | ||||
\(373\) | 8.26089e8 | − | 1.43083e9i | 0.824225 | − | 1.42760i | −0.0782847 | − | 0.996931i | \(-0.524944\pi\) |
0.902510 | − | 0.430669i | \(-0.141722\pi\) | |||||||
\(374\) | 2.10573e7 | − | 1.19422e8i | 0.0208139 | − | 0.118041i | ||||
\(375\) | −1.19086e9 | + | 9.99248e8i | −1.16614 | + | 0.978506i | ||||
\(376\) | −3.26818e8 | − | 2.74233e8i | −0.317065 | − | 0.266049i | ||||
\(377\) | −3.89452e8 | − | 2.20869e9i | −0.374333 | − | 2.12295i | ||||
\(378\) | 1.03667e7 | + | 3.77319e6i | 0.00987236 | + | 0.00359325i | ||||
\(379\) | 1.24453e9 | 1.17427 | 0.587134 | − | 0.809490i | \(-0.300256\pi\) | ||||
0.587134 | + | 0.809490i | \(0.300256\pi\) | |||||||
\(380\) | 3.14063e8 | + | 2.40177e8i | 0.293612 | + | 0.224538i | ||||
\(381\) | −1.53464e9 | −1.42158 | ||||||||
\(382\) | −1.20635e9 | − | 4.39074e8i | −1.10726 | − | 0.403010i | ||||
\(383\) | 3.17300e8 | + | 1.79950e9i | 0.288585 | + | 1.63665i | 0.692191 | + | 0.721714i | \(0.256645\pi\) |
−0.403606 | + | 0.914933i | \(0.632243\pi\) | |||||||
\(384\) | 1.06437e8 | + | 8.93116e7i | 0.0959257 | + | 0.0804912i | ||||
\(385\) | 1.60823e9 | − | 1.34947e9i | 1.43627 | − | 1.20517i | ||||
\(386\) | −1.23001e8 | + | 6.97574e8i | −0.108856 | + | 0.617355i | ||||
\(387\) | −3.81333e8 | + | 6.60489e8i | −0.334439 | + | 0.579265i | ||||
\(388\) | 5.59549e7 | + | 9.69166e7i | 0.0486325 | + | 0.0842340i | ||||
\(389\) | −8.55953e8 | + | 3.11541e8i | −0.737270 | + | 0.268344i | −0.683239 | − | 0.730195i | \(-0.739429\pi\) |
−0.0540309 | + | 0.998539i | \(0.517207\pi\) | |||||||
\(390\) | −1.17000e9 | + | 4.25847e8i | −0.998761 | + | 0.363519i | ||||
\(391\) | −7.56045e6 | − | 1.30951e7i | −0.00639630 | − | 0.0110787i | ||||
\(392\) | −2.47355e8 | + | 4.28431e8i | −0.207405 | + | 0.359236i | ||||
\(393\) | 2.34028e8 | − | 1.32724e9i | 0.194489 | − | 1.10300i | ||||
\(394\) | 2.44310e8 | − | 2.05001e8i | 0.201236 | − | 0.168857i | ||||
\(395\) | −1.04743e9 | − | 8.78896e8i | −0.855134 | − | 0.717542i | ||||
\(396\) | −1.85901e8 | − | 1.05430e9i | −0.150435 | − | 0.853161i | ||||
\(397\) | 3.33319e7 | + | 1.21318e7i | 0.0267358 | + | 0.00973105i | 0.355353 | − | 0.934732i | \(-0.384361\pi\) |
−0.328618 | + | 0.944463i | \(0.606583\pi\) | |||||||
\(398\) | −4.44043e8 | −0.353049 | ||||||||
\(399\) | 1.42748e9 | + | 2.23267e9i | 1.12504 | + | 1.75962i | ||||
\(400\) | −1.45120e8 | −0.113375 | ||||||||
\(401\) | −7.11101e7 | − | 2.58820e7i | −0.0550714 | − | 0.0200443i | 0.314338 | − | 0.949311i | \(-0.398218\pi\) |
−0.369409 | + | 0.929267i | \(0.620440\pi\) | |||||||
\(402\) | 1.24664e8 | + | 7.07002e8i | 0.0957080 | + | 0.542787i | ||||
\(403\) | 2.13568e9 | + | 1.79205e9i | 1.62543 | + | 1.36390i | ||||
\(404\) | 4.80655e8 | − | 4.03317e8i | 0.362659 | − | 0.304307i | ||||
\(405\) | −1.70387e8 | + | 9.66310e8i | −0.127451 | + | 0.722810i | ||||
\(406\) | −1.05568e9 | + | 1.82849e9i | −0.782871 | + | 1.35597i | ||||
\(407\) | −1.63875e9 | − | 2.83840e9i | −1.20485 | − | 2.08686i | ||||
\(408\) | 6.36216e7 | − | 2.31564e7i | 0.0463761 | − | 0.0168795i | ||||
\(409\) | 1.20889e9 | − | 4.40000e8i | 0.873686 | − | 0.317996i | 0.134027 | − | 0.990978i | \(-0.457209\pi\) |
0.739659 | + | 0.672982i | \(0.234987\pi\) | |||||||
\(410\) | 1.62375e8 | + | 2.81242e8i | 0.116352 | + | 0.201528i | ||||
\(411\) | −5.32225e8 | + | 9.21840e8i | −0.378136 | + | 0.654952i | ||||
\(412\) | 2.48140e7 | − | 1.40727e8i | 0.0174806 | − | 0.0991373i | ||||
\(413\) | −2.63204e8 | + | 2.20854e8i | −0.183851 | + | 0.154270i | ||||
\(414\) | −1.02261e8 | − | 8.58073e7i | −0.0708287 | − | 0.0594324i | ||||
\(415\) | −2.40937e8 | − | 1.36642e9i | −0.165476 | − | 0.938463i | ||||
\(416\) | −3.50064e8 | − | 1.27413e8i | −0.238408 | − | 0.0867733i | ||||
\(417\) | −1.26012e9 | −0.851009 | ||||||||
\(418\) | 8.36137e8 | − | 1.61261e9i | 0.559965 | − | 1.07997i | ||||
\(419\) | 7.09959e8 | 0.471503 | 0.235751 | − | 0.971813i | \(-0.424245\pi\) | ||||
0.235751 | + | 0.971813i | \(0.424245\pi\) | |||||||
\(420\) | 1.10145e9 | + | 4.00896e8i | 0.725426 | + | 0.264033i | ||||
\(421\) | −2.47853e8 | − | 1.40564e9i | −0.161885 | − | 0.918096i | −0.952218 | − | 0.305418i | \(-0.901204\pi\) |
0.790333 | − | 0.612677i | \(-0.209907\pi\) | |||||||
\(422\) | 1.13102e9 | + | 9.49036e8i | 0.732614 | + | 0.614736i | ||||
\(423\) | −1.40593e9 | + | 1.17971e9i | −0.903175 | + | 0.757854i | ||||
\(424\) | −4.04999e6 | + | 2.29686e7i | −0.00258032 | + | 0.0146337i | ||||
\(425\) | −3.53570e7 | + | 6.12400e7i | −0.0223416 | + | 0.0386967i | ||||
\(426\) | −1.36006e8 | − | 2.35569e8i | −0.0852363 | − | 0.147634i | ||||
\(427\) | 1.45063e9 | − | 5.27985e8i | 0.901692 | − | 0.328189i | ||||
\(428\) | −5.18684e8 | + | 1.88786e8i | −0.319779 | + | 0.116390i | ||||
\(429\) | 2.86020e9 | + | 4.95401e9i | 1.74903 | + | 3.02940i | ||||
\(430\) | −2.86192e8 | + | 4.95700e8i | −0.173587 | + | 0.300662i | ||||
\(431\) | −5.10652e7 | + | 2.89605e8i | −0.0307223 | + | 0.174235i | −0.996308 | − | 0.0858499i | \(-0.972639\pi\) |
0.965586 | + | 0.260085i | \(0.0837506\pi\) | |||||||
\(432\) | 3.23431e6 | − | 2.71391e6i | 0.00193014 | − | 0.00161958i | ||||
\(433\) | 7.37734e8 | + | 6.19032e8i | 0.436709 | + | 0.366442i | 0.834476 | − | 0.551044i | \(-0.185770\pi\) |
−0.397767 | + | 0.917486i | \(0.630215\pi\) | |||||||
\(434\) | −4.55755e8 | − | 2.58471e9i | −0.267619 | − | 1.51774i | ||||
\(435\) | 2.53781e9 | + | 9.23686e8i | 1.47824 | + | 0.538037i | ||||
\(436\) | −4.01901e8 | −0.232229 | ||||||||
\(437\) | −4.93844e7 | − | 2.21055e8i | −0.0283077 | − | 0.126712i | ||||
\(438\) | −1.70886e9 | −0.971732 | ||||||||
\(439\) | −2.00891e9 | − | 7.31182e8i | −1.13327 | − | 0.412477i | −0.293792 | − | 0.955869i | \(-0.594917\pi\) |
−0.839479 | + | 0.543393i | \(0.817139\pi\) | |||||||
\(440\) | −1.39520e8 | − | 7.91256e8i | −0.0780821 | − | 0.442825i | ||||
\(441\) | 1.63028e9 | + | 1.36797e9i | 0.905163 | + | 0.759522i | ||||
\(442\) | −1.39057e8 | + | 1.16683e8i | −0.0765976 | + | 0.0642730i | ||||
\(443\) | −3.09939e8 | + | 1.75775e9i | −0.169381 | + | 0.960605i | 0.775051 | + | 0.631898i | \(0.217724\pi\) |
−0.944432 | + | 0.328707i | \(0.893387\pi\) | |||||||
\(444\) | 9.14950e8 | − | 1.58474e9i | 0.496086 | − | 0.859247i | ||||
\(445\) | 1.31024e9 | + | 2.26941e9i | 0.704841 | + | 1.22082i | ||||
\(446\) | 2.06390e9 | − | 7.51196e8i | 1.10158 | − | 0.400942i | ||||
\(447\) | 2.23578e9 | − | 8.13759e8i | 1.18401 | − | 0.430943i | ||||
\(448\) | 1.75351e8 | + | 3.03717e8i | 0.0921374 | + | 0.159587i | ||||
\(449\) | −1.20916e8 | + | 2.09433e8i | −0.0630410 | + | 0.109190i | −0.895823 | − | 0.444410i | \(-0.853413\pi\) |
0.832782 | + | 0.553601i | \(0.186747\pi\) | |||||||
\(450\) | −1.08406e8 | + | 6.14802e8i | −0.0560803 | + | 0.318047i | ||||
\(451\) | 1.14295e9 | − | 9.59050e8i | 0.586692 | − | 0.492293i | ||||
\(452\) | −3.91356e8 | − | 3.28387e8i | −0.199337 | − | 0.167263i | ||||
\(453\) | −7.88186e8 | − | 4.47002e9i | −0.398368 | − | 2.25926i | ||||
\(454\) | −1.68799e8 | − | 6.14378e7i | −0.0846592 | − | 0.0308134i | ||||
\(455\) | −3.14268e9 | −1.56409 | ||||||||
\(456\) | 1.01315e9 | − | 4.58874e7i | 0.500375 | − | 0.0226630i | ||||
\(457\) | −1.85601e8 | −0.0909648 | −0.0454824 | − | 0.998965i | \(-0.514482\pi\) | ||||
−0.0454824 | + | 0.998965i | \(0.514482\pi\) | |||||||
\(458\) | 9.80009e8 | + | 3.56694e8i | 0.476651 | + | 0.173487i | ||||
\(459\) | −357253. | − | 2.02608e6i | −0.000172437 | − | 0.000977941i | ||||
\(460\) | −7.67474e7 | − | 6.43987e7i | −0.0367630 | − | 0.0308478i | ||||
\(461\) | −1.30284e8 | + | 1.09322e8i | −0.0619355 | + | 0.0519700i | −0.673230 | − | 0.739433i | \(-0.735094\pi\) |
0.611294 | + | 0.791403i | \(0.290649\pi\) | |||||||
\(462\) | 9.35136e8 | − | 5.30342e9i | 0.441192 | − | 2.50213i | ||||
\(463\) | 1.01777e9 | − | 1.76284e9i | 0.476560 | − | 0.825426i | −0.523079 | − | 0.852284i | \(-0.675217\pi\) |
0.999639 | + | 0.0268578i | \(0.00855014\pi\) | |||||||
\(464\) | 4.04019e8 | + | 6.99782e8i | 0.187754 | + | 0.325199i | ||||
\(465\) | −3.15470e9 | + | 1.14822e9i | −1.45503 | + | 0.529589i | ||||
\(466\) | 1.74746e9 | − | 6.36022e8i | 0.799937 | − | 0.291153i | ||||
\(467\) | 1.82200e9 | + | 3.15580e9i | 0.827826 | + | 1.43384i | 0.899740 | + | 0.436426i | \(0.143756\pi\) |
−0.0719137 | + | 0.997411i | \(0.522911\pi\) | |||||||
\(468\) | −8.01288e8 | + | 1.38787e9i | −0.361350 | + | 0.625876i | ||||
\(469\) | −3.14658e8 | + | 1.78451e9i | −0.140842 | + | 0.798756i | ||||
\(470\) | −1.05516e9 | + | 8.85380e8i | −0.468785 | + | 0.393357i | ||||
\(471\) | −1.58244e9 | − | 1.32782e9i | −0.697837 | − | 0.585555i | ||||
\(472\) | 2.28338e7 | + | 1.29497e8i | 0.00999498 | + | 0.0566844i | ||||
\(473\) | 2.47115e9 | + | 8.99424e8i | 1.07370 | + | 0.390796i | ||||
\(474\) | −3.50736e9 | −1.51271 | ||||||||
\(475\) | −7.79806e8 | + | 7.16899e8i | −0.333856 | + | 0.306924i | ||||
\(476\) | 1.70890e8 | 0.0726261 | ||||||||
\(477\) | 9.42817e7 | + | 3.43157e7i | 0.0397752 | + | 0.0144770i | ||||
\(478\) | 4.07852e8 | + | 2.31304e9i | 0.170807 | + | 0.968693i | ||||
\(479\) | −3.23243e9 | − | 2.71233e9i | −1.34386 | − | 1.12763i | −0.980616 | − | 0.195942i | \(-0.937224\pi\) |
−0.363247 | − | 0.931693i | \(-0.618332\pi\) | |||||||
\(480\) | 3.43641e8 | − | 2.88349e8i | 0.141827 | − | 0.119007i | ||||
\(481\) | −8.51959e8 | + | 4.83170e9i | −0.349069 | + | 1.97967i | ||||
\(482\) | −1.37168e9 | + | 2.37582e9i | −0.557941 | + | 0.966382i | ||||
\(483\) | −3.35752e8 | − | 5.81540e8i | −0.135583 | − | 0.234836i | ||||
\(484\) | −2.29681e9 | + | 8.35970e8i | −0.920802 | + | 0.335144i | ||||
\(485\) | 3.39519e8 | − | 1.23575e8i | 0.135135 | − | 0.0491851i | ||||
\(486\) | 1.26749e9 | + | 2.19536e9i | 0.500863 | + | 0.867520i | ||||
\(487\) | 2.25747e9 | − | 3.91005e9i | 0.885666 | − | 1.53402i | 0.0407180 | − | 0.999171i | \(-0.487035\pi\) |
0.844948 | − | 0.534848i | \(-0.179631\pi\) | |||||||
\(488\) | 1.02591e8 | − | 5.81825e8i | 0.0399615 | − | 0.226633i | ||||
\(489\) | 4.21391e9 | − | 3.53589e9i | 1.62969 | − | 1.36747i | ||||
\(490\) | 1.22353e9 | + | 1.02666e9i | 0.469817 | + | 0.394223i | ||||
\(491\) | 5.56368e8 | + | 3.15532e9i | 0.212118 | + | 1.20298i | 0.885839 | + | 0.463994i | \(0.153584\pi\) |
−0.673721 | + | 0.738986i | \(0.735305\pi\) | |||||||
\(492\) | 7.82790e8 | + | 2.84912e8i | 0.296324 | + | 0.107853i | ||||
\(493\) | 3.93741e8 | 0.147995 | ||||||||
\(494\) | −2.51050e9 | + | 1.04467e9i | −0.936950 | + | 0.389885i | ||||
\(495\) | −3.45639e9 | −1.28087 | ||||||||
\(496\) | −9.43882e8 | − | 3.43545e8i | −0.347322 | − | 0.126415i | ||||
\(497\) | −1.19222e8 | − | 6.76143e8i | −0.0435622 | − | 0.247053i | ||||
\(498\) | −2.72645e9 | − | 2.28777e9i | −0.989225 | − | 0.830059i | ||||
\(499\) | −1.77514e9 | + | 1.48952e9i | −0.639560 | + | 0.536655i | −0.903883 | − | 0.427779i | \(-0.859296\pi\) |
0.264323 | + | 0.964434i | \(0.414852\pi\) | |||||||
\(500\) | −2.60763e8 | + | 1.47886e9i | −0.0932933 | + | 0.529093i | ||||
\(501\) | 1.05377e9 | − | 1.82518e9i | 0.374380 | − | 0.648445i | ||||
\(502\) | −4.58200e8 | − | 7.93626e8i | −0.161656 | − | 0.279997i | ||||
\(503\) | 3.63936e8 | − | 1.32462e8i | 0.127508 | − | 0.0464090i | −0.277478 | − | 0.960732i | \(-0.589499\pi\) |
0.404986 | + | 0.914323i | \(0.367276\pi\) | |||||||
\(504\) | 1.41769e9 | − | 5.15998e8i | 0.493259 | − | 0.179532i | ||||
\(505\) | −1.01288e9 | − | 1.75437e9i | −0.349977 | − | 0.606178i | ||||
\(506\) | −2.30147e8 | + | 3.98625e8i | −0.0789728 | + | 0.136785i | ||||
\(507\) | 7.65060e8 | − | 4.33887e9i | 0.260716 | − | 1.47859i | ||||
\(508\) | −1.13561e9 | + | 9.52893e8i | −0.384333 | + | 0.322494i | ||||
\(509\) | −9.34527e8 | − | 7.84161e8i | −0.314108 | − | 0.263568i | 0.472079 | − | 0.881556i | \(-0.343504\pi\) |
−0.786188 | + | 0.617988i | \(0.787948\pi\) | |||||||
\(510\) | −3.79576e7 | − | 2.15268e8i | −0.0126708 | − | 0.0718596i | ||||
\(511\) | −4.05313e9 | − | 1.47522e9i | −1.34375 | − | 0.489084i | ||||
\(512\) | 1.34218e8 | 0.0441942 | ||||||||
\(513\) | 3.97282e6 | − | 3.05609e7i | 0.00129924 | − | 0.00999437i | ||||
\(514\) | −2.31682e8 | −0.0752525 | ||||||||
\(515\) | −4.33533e8 | − | 1.57793e8i | −0.139861 | − | 0.0509053i | ||||
\(516\) | 2.54958e8 | + | 1.44594e9i | 0.0816948 | + | 0.463314i | ||||
\(517\) | 4.84776e9 | + | 4.06775e9i | 1.54285 | + | 1.29461i | ||||
\(518\) | 3.53818e9 | − | 2.96889e9i | 1.11847 | − | 0.938511i | ||||
\(519\) | 9.09466e8 | − | 5.15784e9i | 0.285562 | − | 1.61950i | ||||
\(520\) | −6.01370e8 | + | 1.04160e9i | −0.187555 | + | 0.324856i | ||||
\(521\) | 9.11262e7 | + | 1.57835e8i | 0.0282300 | + | 0.0488958i | 0.879795 | − | 0.475353i | \(-0.157680\pi\) |
−0.851565 | + | 0.524249i | \(0.824346\pi\) | |||||||
\(522\) | 3.26644e9 | − | 1.18889e9i | 1.00514 | − | 0.365843i | ||||
\(523\) | −4.21264e9 | + | 1.53327e9i | −1.28765 | + | 0.468667i | −0.892955 | − | 0.450145i | \(-0.851372\pi\) |
−0.394695 | + | 0.918812i | \(0.629150\pi\) | |||||||
\(524\) | −6.50935e8 | − | 1.12745e9i | −0.197642 | − | 0.342325i | ||||
\(525\) | −1.57017e9 | + | 2.71961e9i | −0.473575 | + | 0.820256i | ||||
\(526\) | 2.76562e8 | − | 1.56846e9i | 0.0828594 | − | 0.469919i | ||||
\(527\) | −3.74942e8 | + | 3.14614e8i | −0.111590 | + | 0.0936355i | ||||
\(528\) | −1.57881e9 | − | 1.32478e9i | −0.466778 | − | 0.391674i | ||||
\(529\) | −5.81275e8 | − | 3.29657e9i | −0.170721 | − | 0.968207i | ||||
\(530\) | 7.07588e7 | + | 2.57541e7i | 0.0206450 | + | 0.00751416i | ||||
\(531\) | 5.65674e8 | 0.163959 | ||||||||
\(532\) | 2.44263e9 | + | 7.65791e8i | 0.703344 | + | 0.220505i | ||||
\(533\) | −2.23347e9 | −0.638903 | ||||||||
\(534\) | 6.31651e9 | + | 2.29902e9i | 1.79508 | + | 0.653354i | ||||
\(535\) | 3.09455e8 | + | 1.75501e9i | 0.0873694 | + | 0.495497i | ||||
\(536\) | 5.31242e8 | + | 4.45765e8i | 0.149010 | + | 0.125034i | ||||
\(537\) | 3.07942e9 | − | 2.58394e9i | 0.858143 | − | 0.720067i | ||||
\(538\) | 4.35079e8 | − | 2.46746e9i | 0.120457 | − | 0.683143i | ||||
\(539\) | 3.66907e9 | − | 6.35501e9i | 1.00924 | − | 1.74806i | ||||
\(540\) | −6.81566e6 | − | 1.18051e7i | −0.00186264 | − | 0.00322619i | ||||
\(541\) | −5.80415e9 | + | 2.11254e9i | −1.57597 | + | 0.573606i | −0.974323 | − | 0.225156i | \(-0.927711\pi\) |
−0.601647 | + | 0.798762i | \(0.705489\pi\) | |||||||
\(542\) | 1.63704e9 | − | 5.95835e8i | 0.441634 | − | 0.160742i | ||||
\(543\) | 4.22762e8 | + | 7.32245e8i | 0.113317 | + | 0.196271i | ||||
\(544\) | 3.27008e7 | − | 5.66394e7i | 0.00870887 | − | 0.0150842i | ||||
\(545\) | −2.25320e8 | + | 1.27785e9i | −0.0596227 | + | 0.338137i | ||||
\(546\) | −6.17539e9 | + | 5.18177e9i | −1.62364 | + | 1.36240i | ||||
\(547\) | 4.26904e9 | + | 3.58215e9i | 1.11526 | + | 0.935811i | 0.998355 | − | 0.0573324i | \(-0.0182595\pi\) |
0.116901 | + | 0.993144i | \(0.462704\pi\) | |||||||
\(548\) | 1.78552e8 | + | 1.01262e9i | 0.0463482 | + | 0.262854i | ||||
\(549\) | −2.38827e9 | − | 8.69260e8i | −0.616000 | − | 0.224206i | ||||
\(550\) | 2.15259e9 | 0.551686 | ||||||||
\(551\) | 5.62797e9 | + | 1.76442e9i | 1.43325 | + | 0.449337i | ||||
\(552\) | −2.56992e8 | −0.0650329 | ||||||||
\(553\) | −8.31887e9 | − | 3.02782e9i | −2.09183 | − | 0.761364i | ||||
\(554\) | −2.21618e7 | − | 1.25686e8i | −0.00553758 | − | 0.0314052i | ||||
\(555\) | −4.52576e9 | − | 3.79757e9i | −1.12374 | − | 0.942931i | ||||
\(556\) | −9.32468e8 | + | 7.82434e8i | −0.230076 | + | 0.193057i | ||||
\(557\) | −8.14549e8 | + | 4.61954e9i | −0.199721 | + | 1.13267i | 0.705812 | + | 0.708399i | \(0.250582\pi\) |
−0.905533 | + | 0.424275i | \(0.860529\pi\) | |||||||
\(558\) | −2.16053e9 | + | 3.74214e9i | −0.526429 | + | 0.911802i | ||||
\(559\) | −1.96829e9 | − | 3.40918e9i | −0.476593 | − | 0.825483i | ||||
\(560\) | 1.06398e9 | − | 3.87259e8i | 0.256022 | − | 0.0931843i | ||||
\(561\) | −9.43712e8 | + | 3.43483e8i | −0.225668 | + | 0.0821363i | ||||
\(562\) | −2.52374e9 | − | 4.37124e9i | −0.599745 | − | 1.03879i | ||||
\(563\) | −5.91012e7 | + | 1.02366e8i | −0.0139578 | + | 0.0241756i | −0.872920 | − | 0.487863i | \(-0.837776\pi\) |
0.858962 | + | 0.512039i | \(0.171110\pi\) | |||||||
\(564\) | −6.13540e8 | + | 3.47956e9i | −0.144001 | + | 0.816671i | ||||
\(565\) | −1.26352e9 | + | 1.06022e9i | −0.294722 | + | 0.247301i | ||||
\(566\) | −2.81870e9 | − | 2.36517e9i | −0.653419 | − | 0.548284i | ||||
\(567\) | 1.10317e9 | + | 6.25641e9i | 0.254158 | + | 1.44140i | ||||
\(568\) | −2.46913e8 | − | 8.98689e7i | −0.0565359 | − | 0.0205774i | ||||
\(569\) | −4.52634e9 | −1.03004 | −0.515020 | − | 0.857178i | \(-0.672215\pi\) | ||||
−0.515020 | + | 0.857178i | \(0.672215\pi\) | |||||||
\(570\) | 4.22107e8 | − | 3.24705e9i | 0.0954686 | − | 0.734391i | ||||
\(571\) | 6.81272e8 | 0.153142 | 0.0765709 | − | 0.997064i | \(-0.475603\pi\) | ||||
0.0765709 | + | 0.997064i | \(0.475603\pi\) | |||||||
\(572\) | 5.19257e9 | + | 1.88994e9i | 1.16010 | + | 0.422242i | ||||
\(573\) | 1.84619e9 | + | 1.04703e10i | 0.409954 | + | 2.32497i | ||||
\(574\) | 1.61069e9 | + | 1.35153e9i | 0.355484 | + | 0.298287i | ||||
\(575\) | 2.05617e8 | − | 1.72534e8i | 0.0451048 | − | 0.0378474i | ||||
\(576\) | 1.00262e8 | − | 5.68616e8i | 0.0218604 | − | 0.123977i | ||||
\(577\) | 2.38731e9 | − | 4.13494e9i | 0.517361 | − | 0.896095i | −0.482436 | − | 0.875931i | \(-0.660248\pi\) |
0.999797 | − | 0.0201640i | \(-0.00641883\pi\) | |||||||
\(578\) | 1.62542e9 | + | 2.81531e9i | 0.350121 | + | 0.606427i | ||||
\(579\) | 5.51246e9 | − | 2.00637e9i | 1.18024 | − | 0.429572i | ||||
\(580\) | 2.45148e9 | − | 8.92266e8i | 0.521711 | − | 0.189887i | ||||
\(581\) | −4.49172e9 | − | 7.77989e9i | −0.950159 | − | 1.64572i | ||||
\(582\) | 4.63402e8 | − | 8.02636e8i | 0.0974379 | − | 0.168767i | ||||
\(583\) | 6.00744e7 | − | 3.40699e8i | 0.0125559 | − | 0.0712083i | ||||
\(584\) | −1.26453e9 | + | 1.06107e9i | −0.262715 | + | 0.220444i | ||||
\(585\) | 3.96354e9 | + | 3.32580e9i | 0.818535 | + | 0.686832i | ||||
\(586\) | 6.20058e8 | + | 3.51652e9i | 0.127289 | + | 0.721891i | ||||
\(587\) | 1.39360e9 | + | 5.07229e8i | 0.284384 | + | 0.103507i | 0.480274 | − | 0.877119i | \(-0.340537\pi\) |
−0.195890 | + | 0.980626i | \(0.562760\pi\) | |||||||
\(588\) | 4.09705e9 | 0.831095 | ||||||||
\(589\) | −6.76911e9 | + | 2.81677e9i | −1.36499 | + | 0.568000i | ||||
\(590\) | 4.24541e8 | 0.0851015 | ||||||||
\(591\) | −2.48196e9 | − | 9.03358e8i | −0.494582 | − | 0.180013i | ||||
\(592\) | −3.06950e8 | − | 1.74080e9i | −0.0608053 | − | 0.344844i | ||||
\(593\) | 2.07316e9 | + | 1.73959e9i | 0.408265 | + | 0.342575i | 0.823678 | − | 0.567058i | \(-0.191918\pi\) |
−0.415413 | + | 0.909633i | \(0.636363\pi\) | |||||||
\(594\) | −4.79752e7 | + | 4.02560e7i | −0.00939213 | + | 0.00788093i | ||||
\(595\) | 9.58071e7 | − | 5.43349e8i | 0.0186461 | − | 0.105747i | ||||
\(596\) | 1.14917e9 | − | 1.99042e9i | 0.222342 | − | 0.385108i | ||||
\(597\) | 1.83872e9 | + | 3.18476e9i | 0.353676 | + | 0.612585i | ||||
\(598\) | 6.47480e8 | − | 2.35663e8i | 0.123815 | − | 0.0450648i | ||||
\(599\) | 6.81424e9 | − | 2.48018e9i | 1.29546 | − | 0.471508i | 0.399943 | − | 0.916540i | \(-0.369030\pi\) |
0.895515 | + | 0.445032i | \(0.146808\pi\) | |||||||
\(600\) | 6.00921e8 | + | 1.04082e9i | 0.113576 | + | 0.196720i | ||||
\(601\) | 3.48004e8 | − | 6.02760e8i | 0.0653918 | − | 0.113262i | −0.831476 | − | 0.555561i | \(-0.812504\pi\) |
0.896868 | + | 0.442299i | \(0.145837\pi\) | |||||||
\(602\) | −6.43527e8 | + | 3.64962e9i | −0.120221 | + | 0.681805i | ||||
\(603\) | 2.28534e9 | − | 1.91763e9i | 0.424463 | − | 0.356167i | ||||
\(604\) | −3.35878e9 | − | 2.81835e9i | −0.620230 | − | 0.520434i | ||||
\(605\) | 1.37031e9 | + | 7.77143e9i | 0.251580 | + | 1.42678i | ||||
\(606\) | −4.88299e9 | − | 1.77726e9i | −0.891315 | − | 0.324412i | ||||
\(607\) | 8.00830e9 | 1.45338 | 0.726691 | − | 0.686964i | \(-0.241057\pi\) | ||||
0.726691 | + | 0.686964i | \(0.241057\pi\) | |||||||
\(608\) | 7.21223e8 | − | 6.63042e8i | 0.130139 | − | 0.119641i | ||||
\(609\) | 1.74856e10 | 3.13705 | ||||||||
\(610\) | −1.79241e9 | − | 6.52383e8i | −0.319729 | − | 0.116372i | ||||
\(611\) | −1.64499e9 | − | 9.32920e9i | −0.291756 | − | 1.65463i | ||||
\(612\) | −2.15526e8 | − | 1.80848e8i | −0.0380075 | − | 0.0318921i | ||||
\(613\) | −2.33998e9 | + | 1.96347e9i | −0.410298 | + | 0.344281i | −0.824458 | − | 0.565923i | \(-0.808520\pi\) |
0.414160 | + | 0.910204i | \(0.364075\pi\) | |||||||
\(614\) | −7.94800e7 | + | 4.50753e8i | −0.0138570 | + | 0.0785868i | ||||
\(615\) | 1.34474e9 | − | 2.32917e9i | 0.233118 | − | 0.403773i | ||||
\(616\) | −2.60102e9 | − | 4.50510e9i | −0.448344 | − | 0.776555i | ||||
\(617\) | 3.93000e9 | − | 1.43040e9i | 0.673588 | − | 0.245166i | 0.0174960 | − | 0.999847i | \(-0.494431\pi\) |
0.656092 | + | 0.754681i | \(0.272208\pi\) | |||||||
\(618\) | −1.11207e9 | + | 4.04761e8i | −0.189528 | + | 0.0689824i | ||||
\(619\) | −2.37709e9 | − | 4.11724e9i | −0.402836 | − | 0.697733i | 0.591231 | − | 0.806503i | \(-0.298642\pi\) |
−0.994067 | + | 0.108770i | \(0.965309\pi\) | |||||||
\(620\) | −1.62148e9 | + | 2.80849e9i | −0.273238 | + | 0.473263i | ||||
\(621\) | −1.35605e6 | + | 7.69057e6i | −0.000227225 | + | 0.00128866i | ||||
\(622\) | 2.12398e8 | − | 1.78223e8i | 0.0353903 | − | 0.0296960i | ||||
\(623\) | 1.29970e10 | + | 1.09058e10i | 2.15346 | + | 1.80696i | ||||
\(624\) | 5.35737e8 | + | 3.03832e9i | 0.0882685 | + | 0.500595i | ||||
\(625\) | 1.95486e9 | + | 7.11510e8i | 0.320284 | + | 0.116574i | ||||
\(626\) | 2.57462e9 | 0.419472 | ||||||||
\(627\) | −1.50282e10 | + | 6.80658e8i | −2.43485 | + | 0.110279i | ||||
\(628\) | −1.99546e9 | −0.321502 | ||||||||
\(629\) | −8.09396e8 | − | 2.94596e8i | −0.129683 | − | 0.0472009i | ||||
\(630\) | −8.45818e8 | − | 4.79687e9i | −0.134767 | − | 0.764304i | ||||
\(631\) | 3.19916e9 | + | 2.68441e9i | 0.506912 | + | 0.425350i | 0.860041 | − | 0.510225i | \(-0.170438\pi\) |
−0.353129 | + | 0.935575i | \(0.614882\pi\) | |||||||
\(632\) | −2.59539e9 | + | 2.17779e9i | −0.408972 | + | 0.343168i | ||||
\(633\) | 2.12327e9 | − | 1.20417e10i | 0.332731 | − | 1.88701i | ||||
\(634\) | −6.95059e7 | + | 1.20388e8i | −0.0108320 | + | 0.0187616i | ||||
\(635\) | 2.39308e9 | + | 4.14494e9i | 0.370893 | + | 0.642406i | ||||
\(636\) | 1.81506e8 | − | 6.60627e7i | 0.0279763 | − | 0.0101825i | ||||
\(637\) | −1.03223e10 | + | 3.75702e9i | −1.58230 | + | 0.575911i | ||||
\(638\) | −5.99290e9 | − | 1.03800e10i | −0.913618 | − | 1.58243i | ||||
\(639\) | −5.65178e8 | + | 9.78917e8i | −0.0856904 | + | 0.148420i | ||||
\(640\) | 7.52472e7 | − | 4.26748e8i | 0.0113465 | − | 0.0643490i | ||||
\(641\) | −9.58939e7 | + | 8.04646e7i | −0.0143810 | + | 0.0120671i | −0.649950 | − | 0.759977i | \(-0.725210\pi\) |
0.635569 | + | 0.772044i | \(0.280766\pi\) | |||||||
\(642\) | 3.50180e9 | + | 2.93836e9i | 0.522299 | + | 0.438261i | ||||
\(643\) | −5.04031e8 | − | 2.85850e9i | −0.0747685 | − | 0.424033i | −0.999099 | − | 0.0424404i | \(-0.986487\pi\) |
0.924330 | − | 0.381593i | \(-0.124624\pi\) | |||||||
\(644\) | −6.09543e8 | − | 2.21855e8i | −0.0899298 | − | 0.0327318i | ||||
\(645\) | 4.74033e9 | 0.695584 | ||||||||
\(646\) | −1.04083e8 | − | 4.65897e8i | −0.0151903 | − | 0.0679949i | ||||
\(647\) | −9.49651e9 | −1.37848 | −0.689238 | − | 0.724535i | \(-0.742054\pi\) | ||||
−0.689238 | + | 0.724535i | \(0.742054\pi\) | |||||||
\(648\) | 2.28471e9 | + | 8.31566e8i | 0.329851 | + | 0.120056i | ||||
\(649\) | −3.38699e8 | − | 1.92086e9i | −0.0486360 | − | 0.275828i | ||||
\(650\) | −2.46844e9 | − | 2.07126e9i | −0.352553 | − | 0.295827i | ||||
\(651\) | −1.66508e10 | + | 1.39717e10i | −2.36539 | + | 1.98479i | ||||
\(652\) | 9.22722e8 | − | 5.23302e9i | 0.130378 | − | 0.739410i | ||||
\(653\) | −1.68174e9 | + | 2.91287e9i | −0.236354 | + | 0.409378i | −0.959665 | − | 0.281144i | \(-0.909286\pi\) |
0.723311 | + | 0.690522i | \(0.242619\pi\) | |||||||
\(654\) | 1.66421e9 | + | 2.88250e9i | 0.232641 | + | 0.402947i | ||||
\(655\) | −3.94970e9 | + | 1.43757e9i | −0.549186 | + | 0.199887i | ||||
\(656\) | 7.56162e8 | − | 2.75220e8i | 0.104581 | − | 0.0380642i | ||||
\(657\) | 3.55061e9 | + | 6.14984e9i | 0.488455 | + | 0.846028i | ||||
\(658\) | −4.45904e9 | + | 7.72328e9i | −0.610169 | + | 1.05684i | ||||
\(659\) | 1.09076e9 | − | 6.18601e9i | 0.148467 | − | 0.841999i | −0.816051 | − | 0.577981i | \(-0.803841\pi\) |
0.964518 | − | 0.264018i | \(-0.0850479\pi\) | |||||||
\(660\) | −5.09730e9 | + | 4.27714e9i | −0.690138 | + | 0.579095i | ||||
\(661\) | −3.99271e9 | − | 3.35028e9i | −0.537729 | − | 0.451208i | 0.333032 | − | 0.942916i | \(-0.391928\pi\) |
−0.870760 | + | 0.491708i | \(0.836373\pi\) | |||||||
\(662\) | −1.32661e9 | − | 7.52360e9i | −0.177722 | − | 1.00791i | ||||
\(663\) | 1.41269e9 | + | 5.14176e8i | 0.188256 | + | 0.0685195i | ||||
\(664\) | −3.43806e9 | −0.455749 | ||||||||
\(665\) | 3.80428e9 | − | 7.33708e9i | 0.501645 | − | 0.967492i | ||||
\(666\) | −7.60422e9 | −0.997458 | ||||||||
\(667\) | −1.40442e9 | − | 5.11167e8i | −0.183255 | − | 0.0666995i | ||||
\(668\) | −3.53520e8 | − | 2.00491e9i | −0.0458878 | − | 0.260242i | ||||
\(669\) | −1.39340e10 | − | 1.16920e10i | −1.79922 | − | 1.50973i | ||||
\(670\) | 1.71515e9 | − | 1.43919e9i | 0.220314 | − | 0.184865i | ||||
\(671\) | −1.52176e9 | + | 8.63033e9i | −0.194454 | + | 1.10280i | ||||
\(672\) | 1.45221e9 | − | 2.51530e9i | 0.184602 | − | 0.319740i | ||||
\(673\) | 1.88384e9 | + | 3.26291e9i | 0.238227 | + | 0.412622i | 0.960206 | − | 0.279294i | \(-0.0901003\pi\) |
−0.721978 | + | 0.691916i | \(0.756767\pi\) | |||||||
\(674\) | 6.23530e9 | − | 2.26946e9i | 0.784418 | − | 0.285505i | ||||
\(675\) | 3.43178e7 | − | 1.24907e7i | 0.00429494 | − | 0.00156323i | ||||
\(676\) | −2.12797e9 | − | 3.68575e9i | −0.264942 | − | 0.458894i | ||||
\(677\) | 2.89414e9 | − | 5.01281e9i | 0.358476 | − | 0.620898i | −0.629231 | − | 0.777219i | \(-0.716630\pi\) |
0.987706 | + | 0.156320i | \(0.0499632\pi\) | |||||||
\(678\) | −7.34698e8 | + | 4.16668e9i | −0.0905325 | + | 0.513436i | ||||
\(679\) | 1.79201e9 | − | 1.50368e9i | 0.219683 | − | 0.184336i | ||||
\(680\) | −1.61753e8 | − | 1.35727e8i | −0.0197275 | − | 0.0165533i | ||||
\(681\) | 2.58330e8 | + | 1.46506e9i | 0.0313444 | + | 0.177763i | ||||
\(682\) | 1.40008e10 | + | 5.09588e9i | 1.69008 | + | 0.615139i | ||||
\(683\) | 1.39773e10 | 1.67862 | 0.839308 | − | 0.543656i | \(-0.182960\pi\) | ||||
0.839308 | + | 0.543656i | \(0.182960\pi\) | |||||||
\(684\) | −2.27023e9 | − | 3.55077e9i | −0.271252 | − | 0.424255i | ||||
\(685\) | 3.31975e9 | 0.394628 | ||||||||
\(686\) | 1.43503e9 | + | 5.22308e8i | 0.169717 | + | 0.0617721i | ||||
\(687\) | −1.49981e9 | − | 8.50582e9i | −0.176476 | − | 1.00085i | ||||
\(688\) | 1.08648e9 | + | 9.11664e8i | 0.127193 | + | 0.106727i | ||||
\(689\) | −3.96715e8 | + | 3.32884e8i | −0.0462074 | + | 0.0387726i | ||||
\(690\) | −1.44079e8 | + | 8.17112e8i | −0.0166966 | + | 0.0946912i | ||||
\(691\) | −6.51349e9 | + | 1.12817e10i | −0.751002 | + | 1.30077i | 0.196336 | + | 0.980537i | \(0.437096\pi\) |
−0.947338 | + | 0.320236i | \(0.896238\pi\) | |||||||
\(692\) | −2.52962e9 | − | 4.38143e9i | −0.290191 | − | 0.502626i | ||||
\(693\) | −2.10289e10 | + | 7.65391e9i | −2.40022 | + | 0.873609i | ||||
\(694\) | −6.83039e9 | + | 2.48606e9i | −0.775688 | + | 0.282328i | ||||
\(695\) | 1.96499e9 | + | 3.40346e9i | 0.222031 | + | 0.384569i | ||||
\(696\) | 3.34597e9 | − | 5.79540e9i | 0.376175 | − | 0.651554i | ||||
\(697\) | 6.80891e7 | − | 3.86152e8i | 0.00761662 | − | 0.0431960i | ||||
\(698\) | 6.65056e9 | − | 5.58048e9i | 0.740225 | − | 0.621123i | ||||
\(699\) | −1.17976e10 | − | 9.89939e9i | −1.30655 | − | 1.09632i | ||||
\(700\) | 5.26764e8 | + | 2.98743e9i | 0.0580461 | + | 0.329196i | ||||
\(701\) | 9.51742e9 | + | 3.46406e9i | 1.04353 | + | 0.379815i | 0.806219 | − | 0.591618i | \(-0.201510\pi\) |
0.237315 | + | 0.971433i | \(0.423733\pi\) | |||||||
\(702\) | 9.37494e7 | 0.0102280 | ||||||||
\(703\) | −1.02490e10 | − | 7.83789e9i | −1.11260 | − | 0.850855i | ||||
\(704\) | −1.99088e9 | −0.215051 | ||||||||
\(705\) | 1.07194e10 | + | 3.90153e9i | 1.15214 | + | 0.419346i | ||||
\(706\) | 6.06672e8 | + | 3.44061e9i | 0.0648840 | + | 0.367975i | ||||
\(707\) | −1.00474e10 | − | 8.43074e9i | −1.06926 | − | 0.897218i | ||||
\(708\) | 8.34225e8 | − | 6.99998e8i | 0.0883419 | − | 0.0741277i | ||||
\(709\) | −9.40720e8 | + | 5.33509e9i | −0.0991286 | + | 0.562186i | 0.894275 | + | 0.447517i | \(0.147692\pi\) |
−0.993404 | + | 0.114669i | \(0.963419\pi\) | |||||||
\(710\) | −4.24168e8 | + | 7.34681e8i | −0.0444768 | + | 0.0770362i | ||||
\(711\) | 7.28747e9 | + | 1.26223e10i | 0.760385 | + | 1.31702i | ||||
\(712\) | 6.10164e9 | − | 2.22082e9i | 0.633530 | − | 0.230586i | ||||
\(713\) | 1.74581e9 | − | 6.35423e8i | 0.180378 | − | 0.0656523i | ||||
\(714\) | −7.07632e8 | − | 1.22566e9i | −0.0727552 | − | 0.126016i | ||||
\(715\) | 8.92024e9 | − | 1.54503e10i | 0.912652 | − | 1.58076i | ||||
\(716\) | 6.74303e8 | − | 3.82416e9i | 0.0686530 | − | 0.389351i | ||||
\(717\) | 1.49007e10 | − | 1.25032e10i | 1.50970 | − | 1.26679i | ||||
\(718\) | −2.85532e9 | − | 2.39589e9i | −0.287885 | − | 0.241564i | ||||
\(719\) | 3.28365e9 | + | 1.86225e10i | 0.329462 | + | 1.86847i | 0.476258 | + | 0.879306i | \(0.341993\pi\) |
−0.146795 | + | 0.989167i | \(0.546896\pi\) | |||||||
\(720\) | −1.75172e9 | − | 6.37572e8i | −0.174904 | − | 0.0636599i | ||||
\(721\) | −2.98707e9 | −0.296805 | ||||||||
\(722\) | 6.00054e8 | − | 7.12575e9i | 0.0593349 | − | 0.704613i | ||||
\(723\) | 2.27197e10 | 2.23573 | ||||||||
\(724\) | 7.67505e8 | + | 2.79349e8i | 0.0751616 | + | 0.0273566i | ||||
\(725\) | 1.21369e9 | + | 6.88320e9i | 0.118284 | + | 0.670822i | ||||
\(726\) | 1.55065e10 | + | 1.30115e10i | 1.50396 | + | 1.26197i | ||||
\(727\) | −2.83918e9 | + | 2.38235e9i | −0.274045 | + | 0.229951i | −0.769444 | − | 0.638715i | \(-0.779466\pi\) |
0.495399 | + | 0.868666i | \(0.335022\pi\) | |||||||
\(728\) | −1.35223e9 | + | 7.66887e9i | −0.129894 | + | 0.736668i | ||||
\(729\) | 5.30432e9 | − | 9.18736e9i | 0.507088 | − | 0.878303i | ||||
\(730\) | 2.66475e9 | + | 4.61548e9i | 0.253528 | + | 0.439123i | ||||
\(731\) | 6.49429e8 | − | 2.36373e8i | 0.0614923 | − | 0.0223814i | ||||
\(732\) | −4.59777e9 | + | 1.67345e9i | −0.433270 | + | 0.157697i | ||||
\(733\) | −4.16218e9 | − | 7.20910e9i | −0.390352 | − | 0.676110i | 0.602144 | − | 0.798388i | \(-0.294313\pi\) |
−0.992496 | + | 0.122278i | \(0.960980\pi\) | |||||||
\(734\) | −4.73926e9 | + | 8.20864e9i | −0.442359 | + | 0.766188i | ||||
\(735\) | 2.29695e9 | − | 1.30267e10i | 0.213376 | − | 1.21012i | ||||
\(736\) | −1.90171e8 | + | 1.59572e8i | −0.0175821 | + | 0.0147531i | ||||
\(737\) | −7.88003e9 | − | 6.61213e9i | −0.725090 | − | 0.608422i | ||||
\(738\) | −6.01113e8 | − | 3.40908e9i | −0.0550502 | − | 0.312205i | ||||
\(739\) | −1.44529e10 | − | 5.26042e9i | −1.31734 | − | 0.479474i | −0.414737 | − | 0.909941i | \(-0.636126\pi\) |
−0.902606 | + | 0.430468i | \(0.858349\pi\) | |||||||
\(740\) | −5.70700e9 | −0.517722 | ||||||||
\(741\) | 1.78882e10 | + | 1.36799e10i | 1.61512 | + | 1.23515i | ||||
\(742\) | 4.87532e8 | 0.0438116 | ||||||||
\(743\) | −4.29981e9 | − | 1.56500e9i | −0.384582 | − | 0.139976i | 0.142492 | − | 0.989796i | \(-0.454489\pi\) |
−0.527073 | + | 0.849820i | \(0.676711\pi\) | |||||||
\(744\) | 1.44452e9 | + | 8.19226e9i | 0.128593 | + | 0.729287i | ||||
\(745\) | −5.68431e9 | − | 4.76971e9i | −0.503653 | − | 0.422615i | ||||
\(746\) | −1.01251e10 | + | 8.49600e9i | −0.892925 | + | 0.749253i | ||||
\(747\) | −2.56827e9 | + | 1.45654e10i | −0.225434 | + | 1.27850i | ||||
\(748\) | −4.85058e8 | + | 8.40144e8i | −0.0423777 | + | 0.0734004i | ||||
\(749\) | 5.76907e9 | + | 9.99233e9i | 0.501672 | + | 0.868921i | ||||
\(750\) | 1.16864e10 | − | 4.25351e9i | 1.01150 | − | 0.368157i | ||||
\(751\) | 1.27980e10 | − | 4.65810e9i | 1.10256 | − | 0.401300i | 0.274302 | − | 0.961644i | \(-0.411553\pi\) |
0.828260 | + | 0.560344i | \(0.189331\pi\) | |||||||
\(752\) | 1.70652e9 | + | 2.95578e9i | 0.146335 | + | 0.253460i | ||||
\(753\) | −3.79469e9 | + | 6.57259e9i | −0.323887 | + | 0.560989i | ||||
\(754\) | −3.11561e9 | + | 1.76695e10i | −0.264694 | + | 1.50115i | ||||
\(755\) | −1.08441e10 | + | 9.09925e9i | −0.917018 | + | 0.769469i | ||||
\(756\) | −6.76084e7 | − | 5.67302e7i | −0.00569081 | − | 0.00477516i | ||||
\(757\) | 5.04869e8 | + | 2.86325e9i | 0.0423002 | + | 0.239897i | 0.998626 | − | 0.0524071i | \(-0.0166893\pi\) |
−0.956326 | + | 0.292304i | \(0.905578\pi\) | |||||||
\(758\) | −9.35578e9 | − | 3.40523e9i | −0.780257 | − | 0.283990i | ||||
\(759\) | 3.81202e9 | 0.316453 | ||||||||
\(760\) | −1.70381e9 | − | 2.66487e9i | −0.140791 | − | 0.220206i | ||||
\(761\) | 1.83314e10 | 1.50782 | 0.753911 | − | 0.656977i | \(-0.228165\pi\) | ||||
0.753911 | + | 0.656977i | \(0.228165\pi\) | |||||||
\(762\) | 1.15367e10 | + | 4.19903e9i | 0.944584 | + | 0.343801i | ||||
\(763\) | 1.45884e9 | + | 8.27350e9i | 0.118897 | + | 0.674300i | ||||
\(764\) | 7.86738e9 | + | 6.60151e9i | 0.638268 | + | 0.535571i | ||||
\(765\) | −6.95841e8 | + | 5.83880e8i | −0.0561946 | + | 0.0471529i | ||||
\(766\) | 2.53840e9 | − | 1.43960e10i | 0.204060 | − | 1.15728i | ||||
\(767\) | −1.45989e9 | + | 2.52860e9i | −0.116825 | + | 0.202347i | ||||
\(768\) | −5.55777e8 | − | 9.62633e8i | −0.0442727 | − | 0.0766826i | ||||
\(769\) | 1.45788e10 | − | 5.30624e9i | 1.15606 | − | 0.420770i | 0.308369 | − | 0.951267i | \(-0.400217\pi\) |
0.847687 | + | 0.530497i | \(0.177995\pi\) | |||||||
\(770\) | −1.57823e10 | + | 5.74429e9i | −1.24581 | + | 0.453439i | ||||
\(771\) | 9.59362e8 | + | 1.66166e9i | 0.0753862 | + | 0.130573i | ||||
\(772\) | 2.83334e9 | − | 4.90749e9i | 0.221635 | − | 0.383883i | ||||
\(773\) | 1.51816e9 | − | 8.60990e9i | 0.118219 | − | 0.670456i | −0.866886 | − | 0.498506i | \(-0.833882\pi\) |
0.985106 | − | 0.171950i | \(-0.0550067\pi\) | |||||||
\(774\) | 4.67389e9 | − | 3.92186e9i | 0.362314 | − | 0.304018i | ||||
\(775\) | −6.65568e9 | − | 5.58478e9i | −0.513614 | − | 0.430973i | ||||
\(776\) | −1.55463e8 | − | 8.81676e8i | −0.0119430 | − | 0.0677319i | ||||
\(777\) | −3.59445e10 | − | 1.30827e10i | −2.74890 | − | 1.00052i | ||||
\(778\) | 7.28709e9 | 0.554786 | ||||||||
\(779\) | 2.70366e9 | − | 5.21438e9i | 0.204913 | − | 0.395204i | ||||
\(780\) | 9.96075e9 | 0.751555 | ||||||||
\(781\) | 3.66251e9 | + | 1.33304e9i | 0.275106 | + | 0.100130i | ||||
\(782\) | 2.10057e7 | + | 1.19129e8i | 0.00157078 | + | 0.00890831i | ||||
\(783\) | −1.55773e8 | − | 1.30709e8i | −0.0115965 | − | 0.00973063i | ||||
\(784\) | 3.03176e9 | − | 2.54395e9i | 0.224692 | − | 0.188539i | ||||
\(785\) | −1.11873e9 | + | 6.34461e9i | −0.0825429 | + | 0.468124i | ||||
\(786\) | −5.39086e9 | + | 9.33725e9i | −0.395986 | + | 0.685867i | ||||
\(787\) | −1.07502e9 | − | 1.86199e9i | −0.0786148 | − | 0.136165i | 0.824038 | − | 0.566535i | \(-0.191716\pi\) |
−0.902653 | + | 0.430370i | \(0.858383\pi\) | |||||||
\(788\) | −2.39753e9 | + | 8.72629e8i | −0.174551 | + | 0.0635313i | ||||
\(789\) | −1.23945e10 | + | 4.51122e9i | −0.898376 | + | 0.326982i | ||||
\(790\) | 5.46928e9 | + | 9.47306e9i | 0.394671 | + | 0.683590i | ||||
\(791\) | −5.33958e9 | + | 9.24842e9i | −0.383609 | + | 0.664431i | ||||
\(792\) | −1.48721e9 | + | 8.43439e9i | −0.106374 | + | 0.603276i | ||||
\(793\) | 1.00493e10 | − | 8.43236e9i | 0.715615 | − | 0.600473i | ||||
\(794\) | −2.17380e8 | − | 1.82403e8i | −0.0154116 | − | 0.0129318i | ||||
\(795\) | −1.08289e8 | − | 6.14138e8i | −0.00764364 | − | 0.0433492i | ||||
\(796\) | 3.33811e9 | + | 1.21497e9i | 0.234588 | + | 0.0853830i | ||||
\(797\) | −1.22043e10 | −0.853906 | −0.426953 | − | 0.904274i | \(-0.640413\pi\) | ||||
−0.426953 | + | 0.904274i | \(0.640413\pi\) | |||||||
\(798\) | −4.62222e9 | − | 2.06900e10i | −0.321988 | − | 1.44129i | ||||
\(799\) | 1.66311e9 | 0.115347 | ||||||||
\(800\) | 1.09094e9 | + | 3.97071e8i | 0.0753334 | + | 0.0274191i | ||||
\(801\) | −4.85052e9 | − | 2.75087e10i | −0.333484 | − | 1.89128i | ||||
\(802\) | 4.63756e8 | + | 3.89137e8i | 0.0317453 | + | 0.0266374i | ||||
\(803\) | 1.87571e10 | − | 1.57390e10i | 1.27838 | − | 1.07269i | ||||
\(804\) | 9.97308e8 | − | 5.65602e9i | 0.0676758 | − | 0.383808i | ||||
\(805\) | −1.04713e9 | + | 1.81367e9i | −0.0707478 | + | 0.122539i | ||||
\(806\) | −1.11518e10 | − | 1.93154e10i | −0.750189 | − | 1.29937i | ||||
\(807\) | −1.94986e10 | + | 7.09693e9i | −1.30601 | + | 0.475349i | ||||
\(808\) | −4.71688e9 | + | 1.71680e9i | −0.314568 | + | 0.114494i | ||||
\(809\) | −8.30371e9 | − | 1.43824e10i | −0.551381 | − | 0.955021i | −0.998175 | − | 0.0603837i | \(-0.980768\pi\) |
0.446794 | − | 0.894637i | \(-0.352566\pi\) | |||||||
\(810\) | 3.92487e9 | − | 6.79807e9i | 0.259494 | − | 0.449457i | ||||
\(811\) | −5.76747e8 | + | 3.27089e9i | −0.0379675 | + | 0.215325i | −0.997889 | − | 0.0649451i | \(-0.979313\pi\) |
0.959921 | + | 0.280270i | \(0.0904239\pi\) | |||||||
\(812\) | 1.29391e10 | − | 1.08572e10i | 0.848123 | − | 0.711660i | ||||
\(813\) | −1.10522e10 | − | 9.27390e9i | −0.721327 | − | 0.605265i | ||||
\(814\) | 4.55305e9 | + | 2.58216e10i | 0.295881 | + | 1.67802i | ||||
\(815\) | −1.61212e10 | − | 5.86763e9i | −1.04315 | − | 0.379674i | ||||
\(816\) | −5.41637e8 | −0.0348974 | ||||||||
\(817\) | 1.03419e10 | − | 4.68404e8i | 0.663473 | − | 0.0300499i | ||||
\(818\) | −1.02918e10 | −0.657437 | ||||||||
\(819\) | 3.14792e10 | + | 1.14575e10i | 2.00230 | + | 0.728778i | ||||
\(820\) | −4.51138e8 | − | 2.55853e9i | −0.0285733 | − | 0.162047i | ||||
\(821\) | −7.76313e9 | − | 6.51404e9i | −0.489594 | − | 0.410818i | 0.364287 | − | 0.931287i | \(-0.381313\pi\) |
−0.853881 | + | 0.520469i | \(0.825757\pi\) | |||||||
\(822\) | 6.52332e9 | − | 5.47372e9i | 0.409654 | − | 0.343741i | ||||
\(823\) | −9.51805e8 | + | 5.39795e9i | −0.0595180 | + | 0.337543i | −0.999997 | − | 0.00230750i | \(-0.999265\pi\) |
0.940479 | + | 0.339851i | \(0.110377\pi\) | |||||||
\(824\) | −5.71592e8 | + | 9.90026e8i | −0.0355911 | + | 0.0616455i | ||||
\(825\) | −8.91358e9 | − | 1.54388e10i | −0.552667 | − | 0.957247i | ||||
\(826\) | 2.58294e9 | − | 9.40112e8i | 0.159472 | − | 0.0580429i | ||||
\(827\) | −5.77042e9 | + | 2.10026e9i | −0.354763 | + | 0.129123i | −0.513253 | − | 0.858238i | \(-0.671560\pi\) |
0.158490 | + | 0.987361i | \(0.449337\pi\) | |||||||
\(828\) | 5.33970e8 | + | 9.24863e8i | 0.0326897 | + | 0.0566202i | ||||
\(829\) | −3.71110e9 | + | 6.42781e9i | −0.226236 | + | 0.391852i | −0.956690 | − | 0.291110i | \(-0.905975\pi\) |
0.730454 | + | 0.682962i | \(0.239309\pi\) | |||||||
\(830\) | −1.92750e9 | + | 1.09314e10i | −0.117009 | + | 0.663593i | ||||
\(831\) | −8.09671e8 | + | 6.79394e8i | −0.0489446 | + | 0.0410694i | ||||
\(832\) | 2.28300e9 | + | 1.91566e9i | 0.137427 | + | 0.115315i | ||||
\(833\) | −3.34880e8 | − | 1.89920e9i | −0.0200739 | − | 0.113845i | ||||
\(834\) | 9.47297e9 | + | 3.44788e9i | 0.565464 | + | 0.205812i | ||||
\(835\) | −6.57286e9 | −0.390708 | ||||||||
\(836\) | −1.06981e10 | + | 9.83504e9i | −0.633261 | + | 0.582176i | ||||
\(837\) | 2.52778e8 | 0.0149005 | ||||||||
\(838\) | −5.33714e9 | − | 1.94256e9i | −0.313296 | − | 0.114030i | ||||
\(839\) | 2.09165e9 | + | 1.18624e10i | 0.122271 | + | 0.693433i | 0.982891 | + | 0.184186i | \(0.0589648\pi\) |
−0.860621 | + | 0.509247i | \(0.829924\pi\) | |||||||
\(840\) | −7.18330e9 | − | 6.02750e9i | −0.418164 | − | 0.350881i | ||||
\(841\) | 1.65983e10 | − | 1.39276e10i | 0.962228 | − | 0.807405i | ||||
\(842\) | −1.98282e9 | + | 1.12451e10i | −0.114470 | + | 0.649192i | ||||
\(843\) | −2.09009e10 | + | 3.62014e10i | −1.20162 | + | 2.08127i | ||||
\(844\) | −5.90575e9 | − | 1.02291e10i | −0.338124 | − | 0.585649i | ||||
\(845\) | −1.29119e10 | + | 4.69956e9i | −0.736195 | + | 0.267953i | ||||
\(846\) | 1.37970e10 | − | 5.02170e9i | 0.783410 | − | 0.285138i | ||||
\(847\) | 2.55463e10 | + | 4.42475e10i | 1.44456 | + | 2.50205i | ||||
\(848\) | 9.32919e7 | − | 1.61586e8i | 0.00525362 | − | 0.00909953i | ||||
\(849\) | −5.29159e9 | + | 3.00101e10i | −0.296763 | + | 1.68302i | ||||
\(850\) | 4.33360e8 | − | 3.63632e8i | 0.0242037 | − | 0.0203094i | ||||
\(851\) | 2.50455e9 | + | 2.10157e9i | 0.139308 | + | 0.116894i | ||||
\(852\) | 3.77875e8 | + | 2.14304e9i | 0.0209320 | + | 0.118711i | ||||
\(853\) | 1.50907e10 | + | 5.49257e9i | 0.832508 | + | 0.303008i | 0.722888 | − | 0.690965i | \(-0.242814\pi\) |
0.109620 | + | 0.993974i | \(0.465037\pi\) | |||||||
\(854\) | −1.23498e10 | −0.678512 | ||||||||
\(855\) | −1.25625e10 | + | 5.22754e9i | −0.687378 | + | 0.286033i | ||||
\(856\) | 4.41578e9 | 0.240629 | ||||||||
\(857\) | −3.20247e10 | − | 1.16560e10i | −1.73801 | − | 0.632584i | −0.738863 | − | 0.673856i | \(-0.764637\pi\) |
−0.999148 | + | 0.0412712i | \(0.986859\pi\) | |||||||
\(858\) | −7.94670e9 | − | 4.50680e10i | −0.429518 | − | 2.43592i | ||||
\(859\) | −7.40388e9 | − | 6.21259e9i | −0.398550 | − | 0.334424i | 0.421383 | − | 0.906883i | \(-0.361545\pi\) |
−0.819933 | + | 0.572459i | \(0.805989\pi\) | |||||||
\(860\) | 3.50778e9 | − | 2.94337e9i | 0.188056 | − | 0.157798i | ||||
\(861\) | 3.02377e9 | − | 1.71486e10i | 0.161450 | − | 0.915627i | ||||
\(862\) | 1.17629e9 | − | 2.03739e9i | 0.0625517 | − | 0.108343i | ||||
\(863\) | −6.12017e9 | − | 1.06004e10i | −0.324135 | − | 0.561418i | 0.657202 | − | 0.753714i | \(-0.271740\pi\) |
−0.981337 | + | 0.192297i | \(0.938406\pi\) | |||||||
\(864\) | −3.17397e7 | + | 1.15523e7i | −0.00167419 | + | 0.000609356i | ||||
\(865\) | −1.53491e10 | + | 5.58660e9i | −0.806354 | + | 0.293489i | ||||
\(866\) | −3.85217e9 | − | 6.67216e9i | −0.201555 | − | 0.349103i | ||||
\(867\) | 1.34613e10 | − | 2.33156e10i | 0.701486 | − | 1.21501i | ||||
\(868\) | −3.64604e9 | + | 2.06777e10i | −0.189235 | + | 1.07321i | ||||
\(869\) | 3.84980e10 | − | 3.23037e10i | 1.99007 | − | 1.66987i | ||||
\(870\) | −1.65507e10 | − | 1.38877e10i | −0.852117 | − | 0.715011i | ||||
\(871\) | 2.67393e9 | + | 1.51646e10i | 0.137116 | + | 0.777621i | ||||
\(872\) | 3.02131e9 | + | 1.09967e9i | 0.154307 | + | 0.0561633i | ||||
\(873\) | −3.85137e9 | −0.195914 | ||||||||
\(874\) | −2.33594e8 | + | 1.79692e9i | −0.0118351 | + | 0.0910412i | ||||
\(875\) | 3.13902e10 | 1.58404 | ||||||||
\(876\) | 1.28464e10 | + | 4.67571e9i | 0.645680 | + | 0.235008i | ||||
\(877\) | −1.91139e9 | − | 1.08400e10i | −0.0956865 | − | 0.542665i | −0.994535 | − | 0.104405i | \(-0.966706\pi\) |
0.898848 | − | 0.438260i | \(-0.144405\pi\) | |||||||
\(878\) | 1.31014e10 | + | 1.09934e10i | 0.653261 | + | 0.548151i | ||||
\(879\) | 2.26535e10 | − | 1.90086e10i | 1.12506 | − | 0.944036i | ||||
\(880\) | −1.11616e9 | + | 6.33005e9i | −0.0552124 | + | 0.313125i | ||||
\(881\) | −1.42605e10 | + | 2.46999e10i | −0.702617 | + | 1.21697i | 0.264928 | + | 0.964268i | \(0.414652\pi\) |
−0.967545 | + | 0.252700i | \(0.918682\pi\) | |||||||
\(882\) | −8.51272e9 | − | 1.47445e10i | −0.417761 | − | 0.723584i | ||||
\(883\) | −2.02551e9 | + | 7.37225e8i | −0.0990084 | + | 0.0360361i | −0.391049 | − | 0.920370i | \(-0.627888\pi\) |
0.292041 | + | 0.956406i | \(0.405666\pi\) | |||||||
\(884\) | 1.36463e9 | − | 4.96685e8i | 0.0664404 | − | 0.0241823i | ||||
\(885\) | −1.75796e9 | − | 3.04488e9i | −0.0852527 | − | 0.147662i | ||||
\(886\) | 7.13948e9 | − | 1.23659e10i | 0.344865 | − | 0.597323i | ||||
\(887\) | 1.39075e9 | − | 7.88735e9i | 0.0669141 | − | 0.379489i | −0.932899 | − | 0.360139i | \(-0.882729\pi\) |
0.999813 | − | 0.0193497i | \(-0.00615958\pi\) | |||||||
\(888\) | −1.12143e10 | + | 9.40990e9i | −0.537435 | + | 0.450962i | ||||
\(889\) | 2.37383e10 | + | 1.99188e10i | 1.13317 | + | 0.950840i | ||||
\(890\) | −3.64034e9 | − | 2.06454e10i | −0.173092 | − | 0.981653i | ||||
\(891\) | −3.38895e10 | − | 1.23348e10i | −1.60507 | − | 0.584197i | ||||
\(892\) | −1.75708e10 | −0.828924 | ||||||||
\(893\) | 2.37718e10 | + | 7.45269e9i | 1.11707 | + | 0.350213i | ||||
\(894\) | −1.90342e10 | −0.890949 | ||||||||
\(895\) | −1.17810e10 | − | 4.28793e9i | −0.549289 | − | 0.199925i | ||||
\(896\) | −4.87191e8 | − | 2.76300e9i | −0.0226267 | − | 0.128322i | ||||
\(897\) | −4.37134e9 | − | 3.66799e9i | −0.202228 | − | 0.169689i | ||||
\(898\) | 1.48204e9 | − | 1.24358e9i | 0.0682955 | − | 0.0573067i | ||||
\(899\) | −8.40068e9 | + | 4.76426e10i | −0.385616 | + | 2.18694i | ||||
\(900\) | 2.49715e9 | − | 4.32518e9i | 0.114181 | − | 0.197768i | ||||
\(901\) | −4.54592e7 | − | 7.87377e7i | −0.00207055 | − | 0.00358630i | ||||
\(902\) | −1.12163e10 | + | 4.08240e9i | −0.508893 | + | 0.185222i | ||||
\(903\) | 2.88405e10 | − | 1.04971e10i | 1.30345 | − | 0.474418i | ||||
\(904\) | 2.04352e9 | + | 3.53947e9i | 0.0920001 | + | 0.159349i | ||||
\(905\) | 1.31849e9 | − | 2.28369e9i | 0.0591297 | − | 0.102416i | ||||
\(906\) | −6.30548e9 | + | 3.57602e10i | −0.281689 | + | 1.59754i | ||||
\(907\) | 1.20745e10 | − | 1.01317e10i | 0.537335 | − | 0.450878i | −0.333290 | − | 0.942824i | \(-0.608159\pi\) |
0.870625 | + | 0.491946i | \(0.163714\pi\) | |||||||
\(908\) | 1.10085e9 | + | 9.23722e8i | 0.0488008 | + | 0.0409488i | ||||
\(909\) | 3.74970e9 | + | 2.12656e10i | 0.165586 | + | 0.939084i | ||||
\(910\) | 2.36252e10 | + | 8.59889e9i | 1.03928 | + | 0.378266i | ||||
\(911\) | −1.91825e9 | −0.0840603 | −0.0420302 | − | 0.999116i | \(-0.513383\pi\) | ||||
−0.0420302 | + | 0.999116i | \(0.513383\pi\) | |||||||
\(912\) | −7.74194e9 | − | 2.42718e9i | −0.337962 | − | 0.105954i | ||||
\(913\) | 5.09975e10 | 2.21769 | ||||||||
\(914\) | 1.39526e9 | + | 5.07834e8i | 0.0604427 | + | 0.0219994i | ||||
\(915\) | 2.74310e9 | + | 1.55569e10i | 0.118377 | + | 0.671350i | ||||
\(916\) | −6.39128e9 | − | 5.36292e9i | −0.274760 | − | 0.230551i | ||||
\(917\) | −2.08469e10 | + | 1.74926e10i | −0.892788 | + | 0.749138i | ||||
\(918\) | −2.85802e6 | + | 1.62087e7i | −0.000121932 | + | 0.000691509i | ||||
\(919\) | 1.95127e10 | − | 3.37971e10i | 0.829305 | − | 1.43640i | −0.0692798 | − | 0.997597i | \(-0.522070\pi\) |
0.898584 | − | 0.438801i | \(-0.144597\pi\) | |||||||
\(920\) | 4.00746e8 | + | 6.94113e8i | 0.0169673 | + | 0.0293882i | ||||
\(921\) | 3.56200e9 | − | 1.29646e9i | 0.150240 | − | 0.0546828i | ||||
\(922\) | 1.27854e9 | − | 4.65351e8i | 0.0537225 | − | 0.0195534i | ||||
\(923\) | −2.91722e9 | − | 5.05277e9i | −0.122113 | − | 0.211506i | ||||
\(924\) | −2.15409e10 | + | 3.73100e10i | −0.898282 | + | 1.55587i | ||||
\(925\) | 2.65506e9 | − | 1.50576e10i | 0.110301 | − | 0.625546i | ||||
\(926\) | −1.24746e10 | + | 1.04674e10i | −0.516282 | + | 0.433212i | ||||
\(927\) | 3.76728e9 | + | 3.16112e9i | 0.155328 | + | 0.130335i | ||||
\(928\) | −1.12252e9 | − | 6.36610e9i | −0.0461078 | − | 0.261490i | ||||
\(929\) | 2.49620e10 | + | 9.08541e9i | 1.02147 | + | 0.371783i | 0.797825 | − | 0.602889i | \(-0.205984\pi\) |
0.223640 | + | 0.974672i | \(0.428206\pi\) | |||||||
\(930\) | 2.68573e10 | 1.09490 | ||||||||
\(931\) | 3.72402e9 | − | 2.86470e10i | 0.151248 | − | 1.16347i | ||||
\(932\) | −1.48768e10 | −0.601942 | ||||||||
\(933\) | −2.15776e9 | − | 7.85359e8i | −0.0869795 | − | 0.0316579i | ||||
\(934\) | −5.06219e9 | − | 2.87091e10i | −0.203294 | − | 1.15294i | ||||
\(935\) | 2.39932e9 | + | 2.01327e9i | 0.0959946 | + | 0.0805491i | ||||
\(936\) | 9.82115e9 | − | 8.24092e9i | 0.391469 | − | 0.328481i | ||||
\(937\) | −4.17919e9 | + | 2.37014e10i | −0.165960 | + | 0.941207i | 0.782109 | + | 0.623142i | \(0.214144\pi\) |
−0.948069 | + | 0.318065i | \(0.896967\pi\) | |||||||
\(938\) | 7.24816e9 | − | 1.25542e10i | 0.286760 | − | 0.496682i | ||||
\(939\) | −1.06611e10 | − | 1.84656e10i | −0.420217 | − | 0.727838i | ||||
\(940\) | 1.03547e10 | − | 3.76881e9i | 0.406622 | − | 0.147998i | ||||
\(941\) | −1.46272e10 | + | 5.32388e9i | −0.572267 | + | 0.208288i | −0.611912 | − | 0.790926i | \(-0.709599\pi\) |
0.0396454 | + | 0.999214i | \(0.487377\pi\) | |||||||
\(942\) | 8.26291e9 | + | 1.43118e10i | 0.322074 | + | 0.557848i | ||||
\(943\) | −7.44180e8 | + | 1.28896e9i | −0.0288993 | + | 0.0500550i | ||||
\(944\) | 1.82671e8 | − | 1.03598e9i | 0.00706752 | − | 0.0400819i | ||||
\(945\) | −2.18278e8 | + | 1.83157e8i | −0.00841394 | + | 0.00706014i | ||||
\(946\) | −1.61160e10 | − | 1.35229e10i | −0.618924 | − | 0.519339i | ||||
\(947\) | 4.98292e9 | + | 2.82595e10i | 0.190660 | + | 1.08128i | 0.918465 | + | 0.395501i | \(0.129429\pi\) |
−0.727806 | + | 0.685783i | \(0.759460\pi\) | |||||||
\(948\) | 2.63667e10 | + | 9.59669e9i | 1.00514 | + | 0.365841i | ||||
\(949\) | −3.66536e10 | −1.39215 | ||||||||
\(950\) | 7.82377e9 | − | 3.25564e9i | 0.296063 | − | 0.123198i | ||||
\(951\) | 1.15126e9 | 0.0434051 | ||||||||
\(952\) | −1.28467e9 | − | 4.67583e8i | −0.0482574 | − | 0.0175642i | ||||
\(953\) | −7.89226e8 | − | 4.47592e9i | −0.0295377 | − | 0.167516i | 0.966471 | − | 0.256777i | \(-0.0826606\pi\) |
−0.996008 | + | 0.0892608i | \(0.971550\pi\) | |||||||
\(954\) | −6.14873e8 | − | 5.15940e8i | −0.0229280 | − | 0.0192389i | ||||
\(955\) | 2.54004e10 | − | 2.13135e10i | 0.943688 | − | 0.791848i | ||||
\(956\) | 3.26282e9 | − | 1.85043e10i | 0.120779 | − | 0.684969i | ||||
\(957\) | −4.96315e10 | + | 8.59643e10i | −1.83048 | + | 3.17049i | ||||
\(958\) | 1.68786e10 | + | 2.92345e10i | 0.620234 | + | 1.07428i | ||||
\(959\) | 2.01976e10 | − | 7.35132e9i | 0.739493 | − | 0.269154i | ||||
\(960\) | −3.37230e9 | + | 1.22742e9i | −0.123020 | + | 0.0447758i | ||||
\(961\) | −1.63124e10 | − | 2.82538e10i | −0.592905 | − | 1.02694i | ||||
\(962\) | 1.96249e10 | − | 3.39914e10i | 0.710715 | − | 1.23099i | ||||
\(963\) | 3.29864e9 | − | 1.87075e10i | 0.119026 | − | 0.675031i | ||||
\(964\) | 1.68123e10 | − | 1.41072e10i | 0.604445 | − | 0.507190i | ||||
\(965\) | −1.40150e10 | − | 1.17600e10i | −0.502051 | − | 0.421271i | ||||
\(966\) | 9.32844e8 | + | 5.29042e9i | 0.0332958 | + | 0.188830i | ||||
\(967\) | −8.90466e9 | − | 3.24103e9i | −0.316683 | − | 0.115263i | 0.178788 | − | 0.983888i | \(-0.442782\pi\) |
−0.495471 | + | 0.868624i | \(0.665005\pi\) | |||||||
\(968\) | 1.95537e10 | 0.692892 | ||||||||
\(969\) | −2.91050e9 | + | 2.67571e9i | −0.102763 | + | 0.0944727i | ||||
\(970\) | −2.89047e9 | −0.101687 | ||||||||
\(971\) | 2.88363e10 | + | 1.04955e10i | 1.01082 | + | 0.367907i | 0.793746 | − | 0.608249i | \(-0.208128\pi\) |
0.217070 | + | 0.976156i | \(0.430350\pi\) | |||||||
\(972\) | −3.52157e9 | − | 1.99718e10i | −0.123000 | − | 0.697566i | ||||
\(973\) | 1.94919e10 | + | 1.63556e10i | 0.678357 | + | 0.569209i | ||||
\(974\) | −2.76691e10 | + | 2.32172e10i | −0.959487 | + | 0.805105i | ||||
\(975\) | −4.63403e9 | + | 2.62809e10i | −0.160119 | + | 0.908079i | ||||
\(976\) | −2.36320e9 | + | 4.09318e9i | −0.0813629 | + | 0.140925i | ||||
\(977\) | 8.25911e9 | + | 1.43052e10i | 0.283337 | + | 0.490753i | 0.972204 | − | 0.234134i | \(-0.0752253\pi\) |
−0.688868 | + | 0.724887i | \(0.741892\pi\) | |||||||
\(978\) | −4.13530e10 | + | 1.50513e10i | −1.41358 | + | 0.514502i | ||||
\(979\) | −9.05070e10 | + | 3.29418e10i | −3.08278 | + | 1.12204i | ||||
\(980\) | −6.38883e9 | − | 1.10658e10i | −0.216835 | − | 0.375570i | ||||
\(981\) | 6.91570e9 | − | 1.19783e10i | 0.233881 | − | 0.405094i | ||||
\(982\) | 4.45095e9 | − | 2.52426e10i | 0.149990 | − | 0.850635i | ||||
\(983\) | −2.23077e10 | + | 1.87184e10i | −0.749063 | + | 0.628538i | −0.935255 | − | 0.353975i | \(-0.884830\pi\) |
0.186192 | + | 0.982513i | \(0.440385\pi\) | |||||||
\(984\) | −5.10509e9 | − | 4.28368e9i | −0.170813 | − | 0.143329i | ||||
\(985\) | 1.43040e9 | + | 8.11222e9i | 0.0476905 | + | 0.270466i | ||||
\(986\) | −2.95996e9 | − | 1.07734e9i | −0.0983370 | − | 0.0357917i | ||||
\(987\) | 7.38570e10 | 2.44501 | ||||||||
\(988\) | 2.17312e10 | − | 9.84247e8i | 0.716860 | − | 0.0324680i | ||||
\(989\) | −2.62329e9 | −0.0862303 | ||||||||
\(990\) | 2.59836e10 | + | 9.45724e9i | 0.851090 | + | 0.309771i | ||||
\(991\) | 8.24653e9 | + | 4.67684e10i | 0.269162 | + | 1.52649i | 0.756916 | + | 0.653512i | \(0.226705\pi\) |
−0.487755 | + | 0.872981i | \(0.662184\pi\) | |||||||
\(992\) | 6.15568e9 | + | 5.16523e9i | 0.200210 | + | 0.167996i | ||||
\(993\) | −4.84673e10 | + | 4.06689e10i | −1.57082 | + | 1.31807i | ||||
\(994\) | −9.53778e8 | + | 5.40914e9i | −0.0308031 | + | 0.174693i | ||||
\(995\) | 5.73450e9 | − | 9.93245e9i | 0.184550 | − | 0.319651i | ||||
\(996\) | 1.42365e10 | + | 2.46584e10i | 0.456558 | + | 0.790782i | ||||
\(997\) | 7.53880e9 | − | 2.74390e9i | 0.240918 | − | 0.0876870i | −0.218739 | − | 0.975783i | \(-0.570194\pi\) |
0.459657 | + | 0.888096i | \(0.347972\pi\) | |||||||
\(998\) | 1.74203e10 | − | 6.34047e9i | 0.554751 | − | 0.201913i | ||||
\(999\) | 2.22420e8 | + | 3.85244e8i | 0.00705823 | + | 0.0122252i |
(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.23.5 | yes | 30 | |
19.5 | even | 9 | inner | 38.8.e.a.5.5 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.8.e.a.5.5 | ✓ | 30 | 19.5 | even | 9 | inner | |
38.8.e.a.23.5 | yes | 30 | 1.1 | even | 1 | trivial |