Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,8,Mod(7,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, 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("37.7");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.f (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: | \(11.5582459429\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.18 | ||
Character | \(\chi\) | \(=\) | 37.7 |
Dual form | 37.8.f.a.16.18 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 14.2134 | − | 5.17327i | 1.25630 | − | 0.457257i | 0.373776 | − | 0.927519i | \(-0.378063\pi\) |
0.882527 | + | 0.470263i | \(0.155841\pi\) | |||||||
\(3\) | −80.6447 | − | 29.3523i | −1.72445 | − | 0.627649i | −0.726241 | − | 0.687440i | \(-0.758735\pi\) |
−0.998211 | + | 0.0597904i | \(0.980957\pi\) | |||||||
\(4\) | 77.2054 | − | 64.7830i | 0.603167 | − | 0.506117i | ||||
\(5\) | −48.8700 | − | 277.155i | −0.174842 | − | 0.991581i | −0.938326 | − | 0.345753i | \(-0.887623\pi\) |
0.763483 | − | 0.645828i | \(-0.223488\pi\) | |||||||
\(6\) | −1298.08 | −2.45343 | ||||||||
\(7\) | 203.583 | + | 1154.58i | 0.224336 | + | 1.27227i | 0.863951 | + | 0.503576i | \(0.167983\pi\) |
−0.639615 | + | 0.768695i | \(0.720906\pi\) | |||||||
\(8\) | −205.826 | + | 356.501i | −0.142130 | + | 0.246176i | ||||
\(9\) | 3966.67 | + | 3328.43i | 1.81375 | + | 1.52192i | ||||
\(10\) | −2128.41 | − | 3686.51i | −0.673062 | − | 1.16578i | ||||
\(11\) | 499.193 | − | 864.628i | 0.113082 | − | 0.195864i | −0.803929 | − | 0.594725i | \(-0.797261\pi\) |
0.917011 | + | 0.398861i | \(0.130594\pi\) | |||||||
\(12\) | −8127.73 | + | 2958.25i | −1.35780 | + | 0.494198i | ||||
\(13\) | −5873.30 | + | 4928.29i | −0.741448 | + | 0.622149i | −0.933226 | − | 0.359290i | \(-0.883019\pi\) |
0.191778 | + | 0.981438i | \(0.438575\pi\) | |||||||
\(14\) | 8866.55 | + | 15357.3i | 0.863588 | + | 1.49578i | ||||
\(15\) | −4194.03 | + | 23785.5i | −0.320858 | + | 1.81967i | ||||
\(16\) | −3321.35 | + | 18836.3i | −0.202719 | + | 1.14968i | ||||
\(17\) | −24488.8 | − | 20548.6i | −1.20892 | − | 1.01440i | −0.999329 | − | 0.0366138i | \(-0.988343\pi\) |
−0.209589 | − | 0.977790i | \(-0.567213\pi\) | |||||||
\(18\) | 73598.8 | + | 26787.8i | 2.97452 | + | 1.08264i | ||||
\(19\) | −29402.6 | − | 10701.7i | −0.983441 | − | 0.357943i | −0.200264 | − | 0.979742i | \(-0.564180\pi\) |
−0.783177 | + | 0.621799i | \(0.786402\pi\) | |||||||
\(20\) | −21728.0 | − | 18231.9i | −0.607316 | − | 0.509598i | ||||
\(21\) | 17471.6 | − | 99086.1i | 0.411684 | − | 2.33478i | ||||
\(22\) | 2622.30 | − | 14871.8i | 0.0525052 | − | 0.297772i | ||||
\(23\) | 30776.7 | + | 53306.9i | 0.527442 | + | 0.913557i | 0.999488 | + | 0.0319831i | \(0.0101823\pi\) |
−0.472046 | + | 0.881574i | \(0.656484\pi\) | |||||||
\(24\) | 27062.9 | − | 22708.4i | 0.399608 | − | 0.335311i | ||||
\(25\) | −1013.30 | + | 368.811i | −0.0129702 | + | 0.00472078i | ||||
\(26\) | −57984.5 | + | 100432.i | −0.647001 | + | 1.12064i | ||||
\(27\) | −128349. | − | 222307.i | −1.25493 | − | 2.17360i | ||||
\(28\) | 90514.7 | + | 75950.9i | 0.779231 | + | 0.653852i | ||||
\(29\) | −66929.0 | + | 115924.i | −0.509590 | + | 0.882636i | 0.490348 | + | 0.871527i | \(0.336870\pi\) |
−0.999938 | + | 0.0111096i | \(0.996464\pi\) | |||||||
\(30\) | 63437.3 | + | 359771.i | 0.428964 | + | 2.43277i | ||||
\(31\) | 10367.2 | 0.0625024 | 0.0312512 | − | 0.999512i | \(-0.490051\pi\) | ||||
0.0312512 | + | 0.999512i | \(0.490051\pi\) | |||||||
\(32\) | 41087.7 | + | 233020.i | 0.221660 | + | 1.25710i | ||||
\(33\) | −65636.0 | + | 55075.2i | −0.317939 | + | 0.266782i | ||||
\(34\) | −454374. | − | 165379.i | −1.98261 | − | 0.721611i | ||||
\(35\) | 310048. | − | 112848.i | 1.22234 | − | 0.444894i | ||||
\(36\) | 521874. | 1.86426 | ||||||||
\(37\) | −178361. | − | 251235.i | −0.578889 | − | 0.815407i | ||||
\(38\) | −473275. | −1.39917 | ||||||||
\(39\) | 618307. | − | 225045.i | 1.66908 | − | 0.607497i | ||||
\(40\) | 108865. | + | 39623.5i | 0.268954 | + | 0.0978911i | ||||
\(41\) | −508537. | + | 426713.i | −1.15234 | + | 0.966925i | −0.999772 | − | 0.0213687i | \(-0.993198\pi\) |
−0.152564 | + | 0.988294i | \(0.548753\pi\) | |||||||
\(42\) | −264268. | − | 1.49874e6i | −0.550392 | − | 3.12143i | ||||
\(43\) | −521321. | −0.999920 | −0.499960 | − | 0.866048i | \(-0.666652\pi\) | ||||
−0.499960 | + | 0.866048i | \(0.666652\pi\) | |||||||
\(44\) | −17472.8 | − | 99093.2i | −0.0309227 | − | 0.175372i | ||||
\(45\) | 728641. | − | 1.26204e6i | 1.19198 | − | 2.06457i | ||||
\(46\) | 713214. | + | 598457.i | 1.08036 | + | 0.906527i | ||||
\(47\) | 57250.0 | + | 99160.0i | 0.0804328 | + | 0.139314i | 0.903436 | − | 0.428723i | \(-0.141036\pi\) |
−0.823003 | + | 0.568037i | \(0.807703\pi\) | |||||||
\(48\) | 820738. | − | 1.42156e6i | 1.07117 | − | 1.85533i | ||||
\(49\) | −517725. | + | 188437.i | −0.628656 | + | 0.228812i | ||||
\(50\) | −12494.5 | + | 10484.1i | −0.0141359 | + | 0.0118615i | ||||
\(51\) | 1.37175e6 | + | 2.37594e6i | 1.44803 | + | 2.50807i | ||||
\(52\) | −134181. | + | 760981.i | −0.132337 | + | 0.750519i | ||||
\(53\) | 301791. | − | 1.71154e6i | 0.278446 | − | 1.57914i | −0.449353 | − | 0.893354i | \(-0.648346\pi\) |
0.727799 | − | 0.685790i | \(-0.240543\pi\) | |||||||
\(54\) | −2.97434e6 | − | 2.49577e6i | −2.57047 | − | 2.15688i | ||||
\(55\) | −264032. | − | 96099.7i | −0.213987 | − | 0.0778848i | ||||
\(56\) | −453510. | − | 165064.i | −0.345087 | − | 0.125602i | ||||
\(57\) | 2.05705e6 | + | 1.72607e6i | 1.47123 | + | 1.23451i | ||||
\(58\) | −351583. | + | 1.99393e6i | −0.236608 | + | 1.34187i | ||||
\(59\) | −79514.8 | + | 450951.i | −0.0504041 | + | 0.285856i | −0.999583 | − | 0.0288816i | \(-0.990805\pi\) |
0.949179 | + | 0.314738i | \(0.101917\pi\) | |||||||
\(60\) | 1.21710e6 | + | 2.10807e6i | 0.727438 | + | 1.25996i | ||||
\(61\) | −820360. | + | 688363.i | −0.462754 | + | 0.388296i | −0.844143 | − | 0.536118i | \(-0.819890\pi\) |
0.381389 | + | 0.924414i | \(0.375446\pi\) | |||||||
\(62\) | 147354. | − | 53632.5i | 0.0785219 | − | 0.0285797i | ||||
\(63\) | −3.03538e6 | + | 5.25744e6i | −1.52940 | + | 2.64900i | ||||
\(64\) | 565352. | + | 979219.i | 0.269581 | + | 0.466928i | ||||
\(65\) | 1.65293e6 | + | 1.38697e6i | 0.746547 | + | 0.626428i | ||||
\(66\) | −647995. | + | 1.12236e6i | −0.277439 | + | 0.480539i | ||||
\(67\) | −419393. | − | 2.37850e6i | −0.170357 | − | 0.966141i | −0.943368 | − | 0.331748i | \(-0.892361\pi\) |
0.773011 | − | 0.634392i | \(-0.218750\pi\) | |||||||
\(68\) | −3.22187e6 | −1.24259 | ||||||||
\(69\) | −917302. | − | 5.20228e6i | −0.336156 | − | 1.90643i | ||||
\(70\) | 3.82305e6 | − | 3.20792e6i | 1.33219 | − | 1.11784i | ||||
\(71\) | 2.46507e6 | + | 897214.i | 0.817384 | + | 0.297503i | 0.716670 | − | 0.697412i | \(-0.245665\pi\) |
0.100713 | + | 0.994915i | \(0.467888\pi\) | |||||||
\(72\) | −2.00303e6 | + | 729043.i | −0.632446 | + | 0.230192i | ||||
\(73\) | −2.31956e6 | −0.697871 | −0.348935 | − | 0.937147i | \(-0.613457\pi\) | ||||
−0.348935 | + | 0.937147i | \(0.613457\pi\) | |||||||
\(74\) | −3.83484e6 | − | 2.64820e6i | −1.10011 | − | 0.759697i | ||||
\(75\) | 92542.6 | 0.0253295 | ||||||||
\(76\) | −2.96333e6 | + | 1.07856e6i | −0.774341 | + | 0.281837i | ||||
\(77\) | 1.09991e6 | + | 400333.i | 0.274561 | + | 0.0999319i | ||||
\(78\) | 7.62405e6 | − | 6.39733e6i | 1.81909 | − | 1.52640i | ||||
\(79\) | 112891. | + | 640234.i | 0.0257610 | + | 0.146098i | 0.994975 | − | 0.100121i | \(-0.0319229\pi\) |
−0.969214 | + | 0.246219i | \(0.920812\pi\) | |||||||
\(80\) | 5.38290e6 | 1.17544 | ||||||||
\(81\) | 1.85897e6 | + | 1.05427e7i | 0.388664 | + | 2.20422i | ||||
\(82\) | −5.02056e6 | + | 8.69586e6i | −1.00555 | + | 1.74166i | ||||
\(83\) | 7.58406e6 | + | 6.36378e6i | 1.45589 | + | 1.22164i | 0.928137 | + | 0.372238i | \(0.121409\pi\) |
0.527752 | + | 0.849399i | \(0.323035\pi\) | |||||||
\(84\) | −5.07020e6 | − | 8.78184e6i | −0.933356 | − | 1.61662i | ||||
\(85\) | −4.49838e6 | + | 7.79142e6i | −0.794493 | + | 1.37610i | ||||
\(86\) | −7.40976e6 | + | 2.69693e6i | −1.25620 | + | 0.457220i | ||||
\(87\) | 8.80011e6 | − | 7.38417e6i | 1.43275 | − | 1.20222i | ||||
\(88\) | 205494. | + | 355925.i | 0.0321447 | + | 0.0556762i | ||||
\(89\) | 1.51407e6 | − | 8.58672e6i | 0.227657 | − | 1.29111i | −0.629883 | − | 0.776690i | \(-0.716897\pi\) |
0.857540 | − | 0.514417i | \(-0.171992\pi\) | |||||||
\(90\) | 3.82760e6 | − | 2.17074e7i | 0.553450 | − | 3.13877i | ||||
\(91\) | −6.88579e6 | − | 5.77787e6i | −0.957876 | − | 0.803753i | ||||
\(92\) | 5.82951e6 | + | 2.12177e6i | 0.780503 | + | 0.284080i | ||||
\(93\) | −836062. | − | 304302.i | −0.107782 | − | 0.0392296i | ||||
\(94\) | 1.32670e6 | + | 1.11323e6i | 0.164750 | + | 0.138242i | ||||
\(95\) | −1.52912e6 | + | 8.67208e6i | −0.182982 | + | 1.03775i | ||||
\(96\) | 3.52616e6 | − | 1.99979e7i | 0.406774 | − | 2.30693i | ||||
\(97\) | −1.69022e6 | − | 2.92756e6i | −0.188037 | − | 0.325690i | 0.756559 | − | 0.653926i | \(-0.226879\pi\) |
−0.944596 | + | 0.328236i | \(0.893546\pi\) | |||||||
\(98\) | −6.38382e6 | + | 5.35666e6i | −0.685156 | + | 0.574914i | ||||
\(99\) | 4.85798e6 | − | 1.76816e6i | 0.503191 | − | 0.183147i | ||||
\(100\) | −54339.5 | + | 94118.8i | −0.00543395 | + | 0.00941188i | ||||
\(101\) | 2.46127e6 | + | 4.26304e6i | 0.237703 | + | 0.411713i | 0.960055 | − | 0.279812i | \(-0.0902723\pi\) |
−0.722352 | + | 0.691526i | \(0.756939\pi\) | |||||||
\(102\) | 3.17886e7 | + | 2.66738e7i | 2.96600 | + | 2.48877i | ||||
\(103\) | −1.59546e6 | + | 2.76341e6i | −0.143865 | + | 0.249181i | −0.928949 | − | 0.370208i | \(-0.879286\pi\) |
0.785084 | + | 0.619389i | \(0.212620\pi\) | |||||||
\(104\) | −548060. | − | 3.10821e6i | −0.0477762 | − | 0.270952i | ||||
\(105\) | −2.83161e7 | −2.38710 | ||||||||
\(106\) | −4.56478e6 | − | 2.58881e7i | −0.372262 | − | 2.11120i | ||||
\(107\) | 1.19427e7 | − | 1.00211e7i | 0.942448 | − | 0.790808i | −0.0355613 | − | 0.999367i | \(-0.511322\pi\) |
0.978010 | + | 0.208559i | \(0.0668775\pi\) | |||||||
\(108\) | −2.43110e7 | − | 8.84847e6i | −1.85703 | − | 0.675904i | ||||
\(109\) | −9.64793e6 | + | 3.51156e6i | −0.713578 | + | 0.259721i | −0.673197 | − | 0.739463i | \(-0.735079\pi\) |
−0.0403810 | + | 0.999184i | \(0.512857\pi\) | |||||||
\(110\) | −4.24995e6 | −0.304445 | ||||||||
\(111\) | 7.00958e6 | + | 2.54961e7i | 0.486476 | + | 1.76947i | ||||
\(112\) | −2.24242e7 | −1.50818 | ||||||||
\(113\) | −1.91435e7 | + | 6.96768e6i | −1.24809 | + | 0.454269i | −0.879757 | − | 0.475423i | \(-0.842295\pi\) |
−0.368337 | + | 0.929692i | \(0.620073\pi\) | |||||||
\(114\) | 3.81671e7 | + | 1.38917e7i | 2.41280 | + | 0.878189i | ||||
\(115\) | 1.32702e7 | − | 1.11350e7i | 0.813646 | − | 0.682730i | ||||
\(116\) | 2.34265e6 | + | 1.32858e7i | 0.139349 | + | 0.790290i | ||||
\(117\) | −3.97009e7 | −2.29166 | ||||||||
\(118\) | 1.20271e6 | + | 6.82092e6i | 0.0673867 | + | 0.382169i | ||||
\(119\) | 1.87394e7 | − | 3.24576e7i | 1.01939 | − | 1.76564i | ||||
\(120\) | −7.61632e6 | − | 6.39085e6i | −0.402356 | − | 0.337617i | ||||
\(121\) | 9.24520e6 | + | 1.60132e7i | 0.474425 | + | 0.821728i | ||||
\(122\) | −8.09904e6 | + | 1.40280e7i | −0.403807 | + | 0.699415i | ||||
\(123\) | 5.35358e7 | − | 1.94854e7i | 2.59404 | − | 0.944153i | ||||
\(124\) | 800406. | − | 671621.i | 0.0376994 | − | 0.0316336i | ||||
\(125\) | −1.08417e7 | − | 1.87783e7i | −0.496490 | − | 0.859946i | ||||
\(126\) | −1.59451e7 | + | 9.04291e7i | −0.710117 | + | 4.02727i | ||||
\(127\) | 3.95350e6 | − | 2.24214e7i | 0.171265 | − | 0.971293i | −0.771102 | − | 0.636712i | \(-0.780294\pi\) |
0.942367 | − | 0.334581i | \(-0.108595\pi\) | |||||||
\(128\) | −1.00996e7 | − | 8.47457e6i | −0.425666 | − | 0.357177i | ||||
\(129\) | 4.20417e7 | + | 1.53019e7i | 1.72431 | + | 0.627599i | ||||
\(130\) | 3.06690e7 | + | 1.11626e7i | 1.22433 | + | 0.445619i | ||||
\(131\) | 1.76816e7 | + | 1.48366e7i | 0.687182 | + | 0.576614i | 0.918095 | − | 0.396360i | \(-0.129727\pi\) |
−0.230913 | + | 0.972974i | \(0.574171\pi\) | |||||||
\(132\) | −1.49952e6 | + | 8.50420e6i | −0.0567471 | + | 0.321829i | ||||
\(133\) | 6.37004e6 | − | 3.61263e7i | 0.234780 | − | 1.33150i | ||||
\(134\) | −1.82656e7 | − | 3.16370e7i | −0.655794 | − | 1.13587i | ||||
\(135\) | −5.53412e7 | + | 4.64368e7i | −1.93589 | + | 1.62440i | ||||
\(136\) | 1.23660e7 | − | 4.50086e6i | 0.421545 | − | 0.153430i | ||||
\(137\) | −2.21499e7 | + | 3.83648e7i | −0.735954 | + | 1.27471i | 0.218350 | + | 0.975871i | \(0.429933\pi\) |
−0.954304 | + | 0.298839i | \(0.903401\pi\) | |||||||
\(138\) | −3.99508e7 | − | 6.91968e7i | −1.29404 | − | 2.24135i | ||||
\(139\) | 1.61347e6 | + | 1.35386e6i | 0.0509575 | + | 0.0427584i | 0.667911 | − | 0.744241i | \(-0.267189\pi\) |
−0.616953 | + | 0.787000i | \(0.711633\pi\) | |||||||
\(140\) | 1.66267e7 | − | 2.87983e7i | 0.512105 | − | 0.886992i | ||||
\(141\) | −1.70634e6 | − | 9.67714e6i | −0.0512624 | − | 0.290723i | ||||
\(142\) | 3.96787e7 | 1.16292 | ||||||||
\(143\) | 1.32922e6 | + | 7.53839e6i | 0.0380120 | + | 0.215577i | ||||
\(144\) | −7.58700e7 | + | 6.36625e7i | −2.11739 | + | 1.77670i | ||||
\(145\) | 3.53999e7 | + | 1.28845e7i | 0.964303 | + | 0.350978i | ||||
\(146\) | −3.29689e7 | + | 1.19997e7i | −0.876736 | + | 0.319106i | ||||
\(147\) | 4.72828e7 | 1.22770 | ||||||||
\(148\) | −3.00462e7 | − | 7.84191e6i | −0.761858 | − | 0.198841i | ||||
\(149\) | 7.40976e6 | 0.183507 | 0.0917535 | − | 0.995782i | \(-0.470753\pi\) | ||||
0.0917535 | + | 0.995782i | \(0.470753\pi\) | |||||||
\(150\) | 1.31535e6 | − | 478748.i | 0.0318216 | − | 0.0115821i | ||||
\(151\) | −1.93565e7 | − | 7.04519e6i | −0.457517 | − | 0.166523i | 0.102972 | − | 0.994684i | \(-0.467165\pi\) |
−0.560490 | + | 0.828162i | \(0.689387\pi\) | |||||||
\(152\) | 9.86697e6 | − | 8.27937e6i | 0.227893 | − | 0.191225i | ||||
\(153\) | −2.87446e7 | − | 1.63019e8i | −0.648838 | − | 3.67974i | ||||
\(154\) | 1.77045e7 | 0.390626 | ||||||||
\(155\) | −506646. | − | 2.87333e6i | −0.0109281 | − | 0.0619762i | ||||
\(156\) | 3.31575e7 | − | 5.74305e7i | 0.699271 | − | 1.21117i | ||||
\(157\) | −2.59588e7 | − | 2.17820e7i | −0.535347 | − | 0.449209i | 0.334596 | − | 0.942362i | \(-0.391400\pi\) |
−0.869943 | + | 0.493152i | \(0.835845\pi\) | |||||||
\(158\) | 4.91667e6 | + | 8.51591e6i | 0.0991678 | + | 0.171764i | ||||
\(159\) | −7.45754e7 | + | 1.29168e8i | −1.47132 | + | 2.54839i | ||||
\(160\) | 6.25748e7 | − | 2.27754e7i | 1.20776 | − | 0.439588i | ||||
\(161\) | −5.52813e7 | + | 4.63865e7i | −1.04397 | + | 0.875994i | ||||
\(162\) | 8.09627e7 | + | 1.40232e8i | 1.49618 | + | 2.59145i | ||||
\(163\) | 1.14735e7 | − | 6.50694e7i | 0.207510 | − | 1.17685i | −0.685931 | − | 0.727667i | \(-0.740605\pi\) |
0.893441 | − | 0.449181i | \(-0.148284\pi\) | |||||||
\(164\) | −1.16180e7 | + | 6.58891e7i | −0.205674 | + | 1.16643i | ||||
\(165\) | 1.84720e7 | + | 1.54999e7i | 0.320125 | + | 0.268617i | ||||
\(166\) | 1.40717e8 | + | 5.12168e7i | 2.38764 | + | 0.869029i | ||||
\(167\) | −5.30604e7 | − | 1.93124e7i | −0.881583 | − | 0.320870i | −0.138734 | − | 0.990330i | \(-0.544303\pi\) |
−0.742848 | + | 0.669460i | \(0.766526\pi\) | |||||||
\(168\) | 3.17282e7 | + | 2.66231e7i | 0.516253 | + | 0.433188i | ||||
\(169\) | −688484. | + | 3.90459e6i | −0.0109721 | + | 0.0622260i | ||||
\(170\) | −2.36303e7 | + | 1.34014e8i | −0.368891 | + | 2.09209i | ||||
\(171\) | −8.10106e7 | − | 1.40315e8i | −1.23896 | − | 2.14593i | ||||
\(172\) | −4.02488e7 | + | 3.37727e7i | −0.603119 | + | 0.506077i | ||||
\(173\) | −3.91011e7 | + | 1.42316e7i | −0.574152 | + | 0.208974i | −0.612745 | − | 0.790281i | \(-0.709935\pi\) |
0.0385927 | + | 0.999255i | \(0.487712\pi\) | |||||||
\(174\) | 8.68795e7 | − | 1.50480e8i | 1.25024 | − | 2.16549i | ||||
\(175\) | −632111. | − | 1.09485e6i | −0.00891580 | − | 0.0154426i | ||||
\(176\) | 1.46284e7 | + | 1.22747e7i | 0.202257 | + | 0.169713i | ||||
\(177\) | 1.96489e7 | − | 3.40329e7i | 0.266337 | − | 0.461309i | ||||
\(178\) | −2.29013e7 | − | 1.29880e8i | −0.304361 | − | 1.72612i | ||||
\(179\) | −4.12495e7 | −0.537567 | −0.268784 | − | 0.963201i | \(-0.586622\pi\) | ||||
−0.268784 | + | 0.963201i | \(0.586622\pi\) | |||||||
\(180\) | −2.55039e7 | − | 1.44640e8i | −0.325952 | − | 1.84857i | ||||
\(181\) | 7.33708e7 | − | 6.15654e7i | 0.919704 | − | 0.771723i | −0.0542362 | − | 0.998528i | \(-0.517272\pi\) |
0.973940 | + | 0.226805i | \(0.0728279\pi\) | |||||||
\(182\) | −1.27761e8 | − | 4.65013e7i | −1.57090 | − | 0.571762i | ||||
\(183\) | 8.63626e7 | − | 3.14334e7i | 1.04171 | − | 0.379152i | ||||
\(184\) | −2.53386e7 | −0.299861 | ||||||||
\(185\) | −6.09146e7 | + | 6.17117e7i | −0.707327 | + | 0.716583i | ||||
\(186\) | −1.34575e7 | −0.153345 | ||||||||
\(187\) | −2.99915e7 | + | 1.09160e7i | −0.335392 | + | 0.122073i | ||||
\(188\) | 1.08439e7 | + | 3.94685e6i | 0.119024 | + | 0.0433210i | ||||
\(189\) | 2.30541e8 | − | 1.93447e8i | 2.48389 | − | 2.08423i | ||||
\(190\) | 2.31289e7 | + | 1.31171e8i | 0.244635 | + | 1.38739i | ||||
\(191\) | 1.52606e8 | 1.58473 | 0.792365 | − | 0.610047i | \(-0.208849\pi\) | ||||
0.792365 | + | 0.610047i | \(0.208849\pi\) | |||||||
\(192\) | −1.68504e7 | − | 9.55631e7i | −0.171813 | − | 0.974397i | ||||
\(193\) | −2.75119e7 | + | 4.76520e7i | −0.275467 | + | 0.477123i | −0.970253 | − | 0.242094i | \(-0.922166\pi\) |
0.694786 | + | 0.719217i | \(0.255499\pi\) | |||||||
\(194\) | −3.91689e7 | − | 3.28666e7i | −0.385155 | − | 0.323183i | ||||
\(195\) | −9.25891e7 | − | 1.60369e8i | −0.894209 | − | 1.54881i | ||||
\(196\) | −2.77637e7 | + | 4.80881e7i | −0.263379 | + | 0.456186i | ||||
\(197\) | −1.15011e8 | + | 4.18607e7i | −1.07179 | + | 0.390099i | −0.816845 | − | 0.576857i | \(-0.804279\pi\) |
−0.254943 | + | 0.966956i | \(0.582057\pi\) | |||||||
\(198\) | 5.99015e7 | − | 5.02633e7i | 0.548415 | − | 0.460175i | ||||
\(199\) | 8.19319e7 | + | 1.41910e8i | 0.737000 | + | 1.27652i | 0.953840 | + | 0.300314i | \(0.0970915\pi\) |
−0.216840 | + | 0.976207i | \(0.569575\pi\) | |||||||
\(200\) | 77081.9 | − | 437153.i | 0.000681314 | − | 0.00386392i | ||||
\(201\) | −3.59924e7 | + | 2.04123e8i | −0.312626 | + | 1.77299i | ||||
\(202\) | 5.70369e7 | + | 4.78597e7i | 0.486885 | + | 0.408545i | ||||
\(203\) | −1.47469e8 | − | 5.36744e7i | −1.23727 | − | 0.450330i | ||||
\(204\) | 2.59827e8 | + | 9.45692e7i | 2.14278 | + | 0.779909i | ||||
\(205\) | 1.43118e8 | + | 1.20090e8i | 1.16026 | + | 0.973575i | ||||
\(206\) | −8.38106e6 | + | 4.75314e7i | −0.0667980 | + | 0.378830i | ||||
\(207\) | −5.53470e7 | + | 3.13889e8i | −0.433709 | + | 2.45968i | ||||
\(208\) | −7.33235e7 | − | 1.27000e8i | −0.564965 | − | 0.978548i | ||||
\(209\) | −2.39306e7 | + | 2.00801e7i | −0.181318 | + | 0.152144i | ||||
\(210\) | −4.02469e8 | + | 1.46487e8i | −2.99892 | + | 1.09152i | ||||
\(211\) | −3.33197e7 | + | 5.77114e7i | −0.244181 | + | 0.422934i | −0.961901 | − | 0.273398i | \(-0.911853\pi\) |
0.717720 | + | 0.696332i | \(0.245186\pi\) | |||||||
\(212\) | −8.75789e7 | − | 1.51691e8i | −0.631283 | − | 1.09341i | ||||
\(213\) | −1.72460e8 | − | 1.44711e8i | −1.22281 | − | 1.02606i | ||||
\(214\) | 1.17904e8 | − | 2.04216e8i | 0.822398 | − | 1.42443i | ||||
\(215\) | 2.54769e7 | + | 1.44487e8i | 0.174829 | + | 0.991502i | ||||
\(216\) | 1.05670e8 | 0.713452 | ||||||||
\(217\) | 2.11059e6 | + | 1.19698e7i | 0.0140215 | + | 0.0795201i | ||||
\(218\) | −1.18964e8 | + | 9.98227e7i | −0.777710 | + | 0.652576i | ||||
\(219\) | 1.87060e8 | + | 6.80842e7i | 1.20344 | + | 0.438018i | ||||
\(220\) | −2.66103e7 | + | 9.68536e6i | −0.168489 | + | 0.0613248i | ||||
\(221\) | 2.45100e8 | 1.52746 | ||||||||
\(222\) | 2.31528e8 | + | 3.26124e8i | 1.42026 | + | 2.00054i | ||||
\(223\) | −1.15228e8 | −0.695810 | −0.347905 | − | 0.937530i | \(-0.613107\pi\) | ||||
−0.347905 | + | 0.937530i | \(0.613107\pi\) | |||||||
\(224\) | −2.60675e8 | + | 9.48780e7i | −1.54964 | + | 0.564024i | ||||
\(225\) | −5.24698e6 | − | 1.90975e6i | −0.0307094 | − | 0.0111773i | ||||
\(226\) | −2.36050e8 | + | 1.98069e8i | −1.36027 | + | 1.14140i | ||||
\(227\) | 5.01047e7 | + | 2.84158e8i | 0.284307 | + | 1.61239i | 0.707750 | + | 0.706463i | \(0.249710\pi\) |
−0.423443 | + | 0.905923i | \(0.639179\pi\) | |||||||
\(228\) | 2.70635e8 | 1.51221 | ||||||||
\(229\) | −2.17236e7 | − | 1.23200e8i | −0.119538 | − | 0.677935i | −0.984403 | − | 0.175930i | \(-0.943707\pi\) |
0.864865 | − | 0.502005i | \(-0.167404\pi\) | |||||||
\(230\) | 1.31011e8 | − | 2.26918e8i | 0.710003 | − | 1.22976i | ||||
\(231\) | −7.69509e7 | − | 6.45695e7i | −0.410745 | − | 0.344656i | ||||
\(232\) | −2.75514e7 | − | 4.77205e7i | −0.144856 | − | 0.250898i | ||||
\(233\) | −5.33972e7 | + | 9.24866e7i | −0.276549 | + | 0.478997i | −0.970525 | − | 0.241001i | \(-0.922524\pi\) |
0.693976 | + | 0.719999i | \(0.255858\pi\) | |||||||
\(234\) | −5.64286e8 | + | 2.05383e8i | −2.87901 | + | 1.04788i | ||||
\(235\) | 2.46849e7 | − | 2.07131e7i | 0.124078 | − | 0.104114i | ||||
\(236\) | 2.30750e7 | + | 3.99671e7i | 0.114275 | + | 0.197929i | ||||
\(237\) | 9.68830e6 | − | 5.49451e7i | 0.0472746 | − | 0.268108i | ||||
\(238\) | 9.84395e7 | − | 5.58278e8i | 0.473315 | − | 2.68430i | ||||
\(239\) | −8.59460e6 | − | 7.21172e6i | −0.0407224 | − | 0.0341701i | 0.622199 | − | 0.782859i | \(-0.286239\pi\) |
−0.662922 | + | 0.748689i | \(0.730684\pi\) | |||||||
\(240\) | −4.34102e8 | − | 1.58000e8i | −2.02699 | − | 0.737766i | ||||
\(241\) | 3.11040e8 | + | 1.13209e8i | 1.43138 | + | 0.520981i | 0.937328 | − | 0.348448i | \(-0.113291\pi\) |
0.494057 | + | 0.869430i | \(0.335514\pi\) | |||||||
\(242\) | 2.14246e8 | + | 1.79774e8i | 0.971762 | + | 0.815405i | ||||
\(243\) | 6.20512e7 | − | 3.51910e8i | 0.277414 | − | 1.57329i | ||||
\(244\) | −1.87419e7 | + | 1.06291e8i | −0.0825943 | + | 0.468415i | ||||
\(245\) | 7.75274e7 | + | 1.34281e8i | 0.336802 | + | 0.583357i | ||||
\(246\) | 6.60124e8 | − | 5.53910e8i | 2.82718 | − | 2.37228i | ||||
\(247\) | 2.25431e8 | − | 8.20503e7i | 0.951865 | − | 0.346450i | ||||
\(248\) | −2.13384e6 | + | 3.69593e6i | −0.00888345 | + | 0.0153866i | ||||
\(249\) | −4.24823e8 | − | 7.35814e8i | −1.74385 | − | 3.02044i | ||||
\(250\) | −2.51242e8 | − | 2.10817e8i | −1.01696 | − | 0.853329i | ||||
\(251\) | −5.51496e7 | + | 9.55219e7i | −0.220133 | + | 0.381281i | −0.954848 | − | 0.297094i | \(-0.903982\pi\) |
0.734715 | + | 0.678375i | \(0.237316\pi\) | |||||||
\(252\) | 1.06245e8 | + | 6.02544e8i | 0.418221 | + | 2.37185i | ||||
\(253\) | 6.14541e7 | 0.238577 | ||||||||
\(254\) | −5.97992e7 | − | 3.39138e8i | −0.228969 | − | 1.29855i | ||||
\(255\) | 5.91466e8 | − | 4.96299e8i | 2.23377 | − | 1.87436i | ||||
\(256\) | −3.23393e8 | − | 1.17706e8i | −1.20473 | − | 0.438487i | ||||
\(257\) | 5.16939e7 | − | 1.88150e7i | 0.189965 | − | 0.0691415i | −0.245286 | − | 0.969451i | \(-0.578882\pi\) |
0.435251 | + | 0.900309i | \(0.356660\pi\) | |||||||
\(258\) | 6.76718e8 | 2.45323 | ||||||||
\(259\) | 2.53759e8 | − | 2.57079e8i | 0.907553 | − | 0.919428i | ||||
\(260\) | 2.17467e8 | 0.767339 | ||||||||
\(261\) | −6.51331e8 | + | 2.37065e8i | −2.26757 | + | 0.825327i | ||||
\(262\) | 3.28070e8 | + | 1.19408e8i | 1.12697 | + | 0.410183i | ||||
\(263\) | −1.81664e8 | + | 1.52434e8i | −0.615777 | + | 0.516698i | −0.896473 | − | 0.443098i | \(-0.853879\pi\) |
0.280696 | + | 0.959797i | \(0.409435\pi\) | |||||||
\(264\) | −6.12475e6 | − | 3.47352e7i | −0.0204868 | − | 0.116187i | ||||
\(265\) | −4.89111e8 | −1.61453 | ||||||||
\(266\) | −9.63508e7 | − | 5.46432e8i | −0.313884 | − | 1.78013i | ||||
\(267\) | −3.74141e8 | + | 6.48032e8i | −1.20295 | + | 2.08356i | ||||
\(268\) | −1.86465e8 | − | 1.56463e8i | −0.591734 | − | 0.496524i | ||||
\(269\) | −4.73023e7 | − | 8.19300e7i | −0.148166 | − | 0.256631i | 0.782383 | − | 0.622797i | \(-0.214004\pi\) |
−0.930550 | + | 0.366165i | \(0.880670\pi\) | |||||||
\(270\) | −5.46359e8 | + | 9.46321e8i | −1.68929 | + | 2.92594i | ||||
\(271\) | 3.87979e8 | − | 1.41213e8i | 1.18417 | − | 0.431004i | 0.326500 | − | 0.945197i | \(-0.394131\pi\) |
0.857674 | + | 0.514193i | \(0.171909\pi\) | |||||||
\(272\) | 4.68396e8 | − | 3.93031e8i | 1.41131 | − | 1.18423i | ||||
\(273\) | 3.85709e8 | + | 6.68068e8i | 1.14734 | + | 1.98724i | ||||
\(274\) | −1.16355e8 | + | 6.59883e8i | −0.341711 | + | 1.93794i | ||||
\(275\) | −186948. | + | 1.06023e6i | −0.000542071 | + | 0.00307424i | ||||
\(276\) | −4.07840e8 | − | 3.42218e8i | −1.16764 | − | 0.979764i | ||||
\(277\) | −1.94357e8 | − | 7.07401e7i | −0.549440 | − | 0.199980i | 0.0523576 | − | 0.998628i | \(-0.483326\pi\) |
−0.601798 | + | 0.798649i | \(0.705549\pi\) | |||||||
\(278\) | 2.99368e7 | + | 1.08961e7i | 0.0835696 | + | 0.0304169i | ||||
\(279\) | 4.11234e7 | + | 3.45066e7i | 0.113364 | + | 0.0951234i | ||||
\(280\) | −2.35854e7 | + | 1.33759e8i | −0.0642082 | + | 0.364143i | ||||
\(281\) | 9.40892e6 | − | 5.33606e7i | 0.0252969 | − | 0.143466i | −0.969543 | − | 0.244920i | \(-0.921238\pi\) |
0.994840 | + | 0.101454i | \(0.0323494\pi\) | |||||||
\(282\) | −7.43154e7 | − | 1.28718e8i | −0.197336 | − | 0.341796i | ||||
\(283\) | −2.37856e8 | + | 1.99585e8i | −0.623824 | + | 0.523450i | −0.899003 | − | 0.437943i | \(-0.855707\pi\) |
0.275179 | + | 0.961393i | \(0.411263\pi\) | |||||||
\(284\) | 2.48441e8 | − | 9.04252e7i | 0.643590 | − | 0.234248i | ||||
\(285\) | 3.77861e8 | − | 6.54474e8i | 0.966885 | − | 1.67469i | ||||
\(286\) | 5.78909e7 | + | 1.00270e8i | 0.146329 | + | 0.253449i | ||||
\(287\) | −5.96203e8 | − | 5.00274e8i | −1.48870 | − | 1.24917i | ||||
\(288\) | −6.12610e8 | + | 1.06107e9i | −1.51116 | + | 2.61740i | ||||
\(289\) | 1.06205e8 | + | 6.02318e8i | 0.258822 | + | 1.46785i | ||||
\(290\) | 5.69809e8 | 1.37194 | ||||||||
\(291\) | 5.03772e7 | + | 2.85704e8i | 0.119842 | + | 0.679658i | ||||
\(292\) | −1.79082e8 | + | 1.50268e8i | −0.420933 | + | 0.353204i | ||||
\(293\) | 6.28314e8 | + | 2.28687e8i | 1.45928 | + | 0.531136i | 0.945168 | − | 0.326585i | \(-0.105898\pi\) |
0.514116 | + | 0.857721i | \(0.328120\pi\) | |||||||
\(294\) | 6.72051e8 | − | 2.44607e8i | 1.54236 | − | 0.561375i | ||||
\(295\) | 1.28869e8 | 0.292262 | ||||||||
\(296\) | 1.26277e8 | − | 1.18753e7i | 0.283011 | − | 0.0266149i | ||||
\(297\) | −2.56284e8 | −0.567641 | ||||||||
\(298\) | 1.05318e8 | − | 3.83327e7i | 0.230540 | − | 0.0839098i | ||||
\(299\) | −4.43473e8 | − | 1.61411e8i | −0.959439 | − | 0.349207i | ||||
\(300\) | 7.14479e6 | − | 5.99519e6i | 0.0152780 | − | 0.0128197i | ||||
\(301\) | −1.06132e8 | − | 6.01905e8i | −0.224318 | − | 1.27217i | ||||
\(302\) | −3.11569e8 | −0.650924 | ||||||||
\(303\) | −7.33583e7 | − | 4.16035e8i | −0.151496 | − | 0.859174i | ||||
\(304\) | 2.99237e8 | − | 5.18293e8i | 0.610882 | − | 1.05808i | ||||
\(305\) | 2.30875e8 | + | 1.93727e8i | 0.465936 | + | 0.390967i | ||||
\(306\) | −1.25190e9 | − | 2.16835e9i | −2.49772 | − | 4.32618i | ||||
\(307\) | −2.45485e8 | + | 4.25193e8i | −0.484218 | + | 0.838690i | −0.999836 | − | 0.0181284i | \(-0.994229\pi\) |
0.515617 | + | 0.856819i | \(0.327563\pi\) | |||||||
\(308\) | 1.10854e8 | − | 4.03474e7i | 0.216183 | − | 0.0786843i | ||||
\(309\) | 2.09778e8 | − | 1.76024e8i | 0.404487 | − | 0.339405i | ||||
\(310\) | −2.20657e7 | − | 3.82189e7i | −0.0420680 | − | 0.0728639i | ||||
\(311\) | −1.00324e8 | + | 5.68968e8i | −0.189124 | + | 1.07257i | 0.731418 | + | 0.681929i | \(0.238859\pi\) |
−0.920542 | + | 0.390644i | \(0.872252\pi\) | |||||||
\(312\) | −4.70347e7 | + | 2.66747e8i | −0.0876753 | + | 0.497231i | ||||
\(313\) | −4.35836e8 | − | 3.65710e8i | −0.803375 | − | 0.674111i | 0.145642 | − | 0.989337i | \(-0.453475\pi\) |
−0.949017 | + | 0.315226i | \(0.897920\pi\) | |||||||
\(314\) | −4.81647e8 | − | 1.75305e8i | −0.877961 | − | 0.319552i | ||||
\(315\) | 1.60547e9 | + | 5.84341e8i | 2.89410 | + | 1.05337i | ||||
\(316\) | 5.01921e7 | + | 4.21161e7i | 0.0894809 | + | 0.0750834i | ||||
\(317\) | 3.03352e7 | − | 1.72040e8i | 0.0534859 | − | 0.303334i | −0.946316 | − | 0.323243i | \(-0.895227\pi\) |
0.999802 | + | 0.0199096i | \(0.00633783\pi\) | |||||||
\(318\) | −3.91750e8 | + | 2.22173e9i | −0.683147 | + | 3.87432i | ||||
\(319\) | 6.68210e7 | + | 1.15737e8i | 0.115251 | + | 0.199621i | ||||
\(320\) | 2.43767e8 | − | 2.04545e8i | 0.415863 | − | 0.348950i | ||||
\(321\) | −1.25725e9 | + | 4.57602e8i | −2.12156 | + | 0.772184i | ||||
\(322\) | −5.45767e8 | + | 9.45296e8i | −0.910986 | + | 1.57787i | ||||
\(323\) | 5.00132e8 | + | 8.66254e8i | 0.825802 | + | 1.43033i | ||||
\(324\) | 8.26513e8 | + | 6.93526e8i | 1.35003 | + | 1.13281i | ||||
\(325\) | 4.13381e6 | − | 7.15997e6i | 0.00667973 | − | 0.0115696i | ||||
\(326\) | −1.73544e8 | − | 9.84215e8i | −0.277426 | − | 1.57336i | ||||
\(327\) | 8.81126e8 | 1.39354 | ||||||||
\(328\) | −4.74536e7 | − | 2.69122e8i | −0.0742524 | − | 0.421106i | ||||
\(329\) | −1.02833e8 | + | 8.62869e7i | −0.159201 | + | 0.133585i | ||||
\(330\) | 3.42736e8 | + | 1.24746e8i | 0.525001 | + | 0.191085i | ||||
\(331\) | −6.88783e8 | + | 2.50696e8i | −1.04396 | + | 0.379971i | −0.806381 | − | 0.591397i | \(-0.798577\pi\) |
−0.237581 | + | 0.971368i | \(0.576354\pi\) | |||||||
\(332\) | 9.97795e8 | 1.49644 | ||||||||
\(333\) | 1.28718e8 | − | 1.59023e9i | 0.191022 | − | 2.35996i | ||||
\(334\) | −8.54079e8 | −1.25425 | ||||||||
\(335\) | −6.38717e8 | + | 2.32474e8i | −0.928221 | + | 0.337845i | ||||
\(336\) | 1.80839e9 | + | 6.58200e8i | 2.60078 | + | 0.946608i | ||||
\(337\) | 1.58815e8 | − | 1.33262e8i | 0.226041 | − | 0.189671i | −0.522733 | − | 0.852497i | \(-0.675087\pi\) |
0.748774 | + | 0.662826i | \(0.230643\pi\) | |||||||
\(338\) | 1.04138e7 | + | 5.90593e7i | 0.0146689 | + | 0.0831917i | ||||
\(339\) | 1.74834e9 | 2.43740 | ||||||||
\(340\) | 1.57453e8 | + | 8.92958e8i | 0.217257 | + | 1.23213i | ||||
\(341\) | 5.17525e6 | − | 8.96380e6i | 0.00706791 | − | 0.0122420i | ||||
\(342\) | −1.87732e9 | − | 1.57526e9i | −2.53774 | − | 2.12942i | ||||
\(343\) | 1.59791e8 | + | 2.76767e8i | 0.213808 | + | 0.370326i | ||||
\(344\) | 1.07301e8 | − | 1.85851e8i | 0.142118 | − | 0.246156i | ||||
\(345\) | −1.39701e9 | + | 5.08470e8i | −1.83161 | + | 0.666651i | ||||
\(346\) | −4.82136e8 | + | 4.04560e8i | −0.625754 | + | 0.525070i | ||||
\(347\) | −4.70729e8 | − | 8.15327e8i | −0.604809 | − | 1.04756i | −0.992082 | − | 0.125595i | \(-0.959916\pi\) |
0.387273 | − | 0.921965i | \(-0.373417\pi\) | |||||||
\(348\) | 2.01047e8 | − | 1.14019e9i | 0.255723 | − | 1.45028i | ||||
\(349\) | 1.00943e8 | − | 5.72477e8i | 0.127112 | − | 0.720890i | −0.852918 | − | 0.522044i | \(-0.825170\pi\) |
0.980031 | − | 0.198846i | \(-0.0637194\pi\) | |||||||
\(350\) | −1.46484e7 | − | 1.22915e7i | −0.0182622 | − | 0.0153238i | ||||
\(351\) | 1.84943e9 | + | 6.73136e8i | 2.28277 | + | 0.830861i | ||||
\(352\) | 2.21986e8 | + | 8.07965e7i | 0.271286 | + | 0.0987400i | ||||
\(353\) | 2.35314e8 | + | 1.97452e8i | 0.284732 | + | 0.238918i | 0.773956 | − | 0.633240i | \(-0.218275\pi\) |
−0.489224 | + | 0.872158i | \(0.662720\pi\) | |||||||
\(354\) | 1.03217e8 | − | 5.85373e8i | 0.123663 | − | 0.701328i | ||||
\(355\) | 1.28199e8 | − | 7.27055e8i | 0.152085 | − | 0.862518i | ||||
\(356\) | −4.39379e8 | − | 7.61027e8i | −0.516137 | − | 0.893975i | ||||
\(357\) | −2.46394e9 | + | 2.06749e9i | −2.86610 | + | 2.40494i | ||||
\(358\) | −5.86297e8 | + | 2.13395e8i | −0.675347 | + | 0.245806i | ||||
\(359\) | 3.71327e8 | − | 6.43157e8i | 0.423571 | − | 0.733646i | −0.572715 | − | 0.819755i | \(-0.694110\pi\) |
0.996286 | + | 0.0861084i | \(0.0274431\pi\) | |||||||
\(360\) | 2.99946e8 | + | 5.19522e8i | 0.338832 | + | 0.586874i | ||||
\(361\) | 6.52427e7 | + | 5.47451e7i | 0.0729889 | + | 0.0612449i | ||||
\(362\) | 7.24357e8 | − | 1.25462e9i | 0.802551 | − | 1.39006i | ||||
\(363\) | −2.75554e8 | − | 1.56274e9i | −0.302366 | − | 1.71480i | ||||
\(364\) | −9.05928e8 | −0.984552 | ||||||||
\(365\) | 1.13357e8 | + | 6.42877e8i | 0.122017 | + | 0.691995i | ||||
\(366\) | 1.06490e9 | − | 8.93554e8i | 1.13533 | − | 0.952658i | ||||
\(367\) | −2.00861e8 | − | 7.31074e7i | −0.212112 | − | 0.0772023i | 0.233779 | − | 0.972290i | \(-0.424891\pi\) |
−0.445891 | + | 0.895087i | \(0.647113\pi\) | |||||||
\(368\) | −1.10633e9 | + | 4.02670e8i | −1.15722 | + | 0.421193i | ||||
\(369\) | −3.43748e9 | −3.56162 | ||||||||
\(370\) | −5.46555e8 | + | 1.19226e9i | −0.560955 | + | 1.22367i | ||||
\(371\) | 2.03755e9 | 2.07157 | ||||||||
\(372\) | −8.42621e7 | + | 3.06689e7i | −0.0848656 | + | 0.0308886i | ||||
\(373\) | 8.33209e8 | + | 3.03263e8i | 0.831329 | + | 0.302579i | 0.722404 | − | 0.691471i | \(-0.243037\pi\) |
0.108925 | + | 0.994050i | \(0.465259\pi\) | |||||||
\(374\) | −3.69811e8 | + | 3.10309e8i | −0.365535 | + | 0.306721i | ||||
\(375\) | 3.23136e8 | + | 1.83260e9i | 0.316429 | + | 1.79456i | ||||
\(376\) | −4.71341e7 | −0.0457276 | ||||||||
\(377\) | −1.78214e8 | − | 1.01070e9i | −0.171296 | − | 0.971470i | ||||
\(378\) | 2.27603e9 | − | 3.94220e9i | 2.16749 | − | 3.75420i | ||||
\(379\) | 1.52802e9 | + | 1.28216e9i | 1.44176 | + | 1.20978i | 0.938328 | + | 0.345746i | \(0.112374\pi\) |
0.503432 | + | 0.864035i | \(0.332070\pi\) | |||||||
\(380\) | 4.43747e8 | + | 7.68593e8i | 0.414852 | + | 0.718545i | ||||
\(381\) | −9.76948e8 | + | 1.69212e9i | −0.904970 | + | 1.56745i | ||||
\(382\) | 2.16906e9 | − | 7.89473e8i | 1.99090 | − | 0.724629i | ||||
\(383\) | 6.31229e8 | − | 5.29664e8i | 0.574105 | − | 0.481731i | −0.308900 | − | 0.951094i | \(-0.599961\pi\) |
0.883005 | + | 0.469363i | \(0.155516\pi\) | |||||||
\(384\) | 5.65731e8 | + | 9.79875e8i | 0.509860 | + | 0.883103i | ||||
\(385\) | 5.72021e7 | − | 3.24409e8i | 0.0510857 | − | 0.289721i | ||||
\(386\) | −1.44522e8 | + | 8.19625e8i | −0.127902 | + | 0.725370i | ||||
\(387\) | −2.06791e9 | − | 1.73518e9i | −1.81360 | − | 1.52179i | ||||
\(388\) | −3.20150e8 | − | 1.16525e8i | −0.278255 | − | 0.101277i | ||||
\(389\) | 1.45677e9 | + | 5.30219e8i | 1.25478 | + | 0.456701i | 0.882013 | − | 0.471226i | \(-0.156188\pi\) |
0.372763 | + | 0.927927i | \(0.378411\pi\) | |||||||
\(390\) | −2.14564e9 | − | 1.80041e9i | −1.83160 | − | 1.53690i | ||||
\(391\) | 3.41694e8 | − | 1.93784e9i | 0.289080 | − | 1.63946i | ||||
\(392\) | 3.93834e7 | − | 2.23355e8i | 0.0330227 | − | 0.187281i | ||||
\(393\) | −9.90437e8 | − | 1.71549e9i | −0.823101 | − | 1.42565i | ||||
\(394\) | −1.41815e9 | + | 1.18997e9i | −1.16811 | + | 0.980164i | ||||
\(395\) | 1.71927e8 | − | 6.25764e7i | 0.140364 | − | 0.0510882i | ||||
\(396\) | 2.60516e8 | − | 4.51226e8i | 0.210815 | − | 0.365142i | ||||
\(397\) | −1.01961e9 | − | 1.76602e9i | −0.817842 | − | 1.41654i | −0.907269 | − | 0.420550i | \(-0.861837\pi\) |
0.0894275 | − | 0.995993i | \(-0.471496\pi\) | |||||||
\(398\) | 1.89867e9 | + | 1.59318e9i | 1.50959 | + | 1.26670i | ||||
\(399\) | −1.57410e9 | + | 2.72642e9i | −1.24058 | + | 2.14876i | ||||
\(400\) | −3.58152e6 | − | 2.03118e7i | −0.00279806 | − | 0.0158686i | ||||
\(401\) | −5.89969e8 | −0.456903 | −0.228451 | − | 0.973555i | \(-0.573366\pi\) | ||||
−0.228451 | + | 0.973555i | \(0.573366\pi\) | |||||||
\(402\) | 5.44408e8 | + | 3.08749e9i | 0.417958 | + | 2.37036i | ||||
\(403\) | −6.08899e7 | + | 5.10927e7i | −0.0463423 | + | 0.0388858i | ||||
\(404\) | 4.66196e8 | + | 1.69681e8i | 0.351750 | + | 0.128026i | ||||
\(405\) | 2.83113e9 | − | 1.03045e9i | 2.11771 | − | 0.770784i | ||||
\(406\) | −2.37372e9 | −1.76030 | ||||||||
\(407\) | −3.06262e8 | + | 2.88014e7i | −0.225171 | + | 0.0211755i | ||||
\(408\) | −1.12936e9 | −0.823234 | ||||||||
\(409\) | 1.13817e9 | − | 4.14259e8i | 0.822573 | − | 0.299392i | 0.103766 | − | 0.994602i | \(-0.466911\pi\) |
0.718807 | + | 0.695210i | \(0.244688\pi\) | |||||||
\(410\) | 2.65546e9 | + | 9.66508e8i | 1.90281 | + | 0.692567i | ||||
\(411\) | 2.91237e9 | − | 2.44377e9i | 2.06919 | − | 1.73625i | ||||
\(412\) | 5.58444e7 | + | 3.16709e8i | 0.0393404 | + | 0.223111i | ||||
\(413\) | −5.36846e8 | −0.374994 | ||||||||
\(414\) | 8.37159e8 | + | 4.74776e9i | 0.579838 | + | 3.28842i | ||||
\(415\) | 1.39312e9 | − | 2.41296e9i | 0.956800 | − | 1.65723i | ||||
\(416\) | −1.38971e9 | − | 1.16611e9i | −0.946450 | − | 0.794166i | ||||
\(417\) | −9.03787e7 | − | 1.56540e8i | −0.0610365 | − | 0.105718i | ||||
\(418\) | −2.36256e8 | + | 4.09207e8i | −0.158221 | + | 0.274047i | ||||
\(419\) | −4.78540e8 | + | 1.74174e8i | −0.317811 | + | 0.115674i | −0.496000 | − | 0.868322i | \(-0.665198\pi\) |
0.178189 | + | 0.983996i | \(0.442976\pi\) | |||||||
\(420\) | −2.18615e9 | + | 1.83440e9i | −1.43982 | + | 1.20815i | ||||
\(421\) | −9.35452e6 | − | 1.62025e7i | −0.00610990 | − | 0.0105827i | 0.862954 | − | 0.505282i | \(-0.168612\pi\) |
−0.869064 | + | 0.494699i | \(0.835278\pi\) | |||||||
\(422\) | −1.75031e8 | + | 9.92649e8i | −0.113376 | + | 0.642987i | ||||
\(423\) | −1.02955e8 | + | 5.83887e8i | −0.0661388 | + | 0.375092i | ||||
\(424\) | 5.48049e8 | + | 4.59868e8i | 0.349172 | + | 0.292990i | ||||
\(425\) | 3.23931e7 | + | 1.17901e7i | 0.0204687 | + | 0.00745001i | ||||
\(426\) | −3.19988e9 | − | 1.16466e9i | −2.00539 | − | 0.729904i | ||||
\(427\) | −9.61780e8 | − | 8.07029e8i | −0.597831 | − | 0.501640i | ||||
\(428\) | 2.72842e8 | − | 1.54736e9i | 0.168212 | − | 0.953979i | ||||
\(429\) | 1.14074e8 | − | 6.46946e8i | 0.0697568 | − | 0.395610i | ||||
\(430\) | 1.10958e9 | + | 1.92185e9i | 0.673008 | + | 1.16568i | ||||
\(431\) | −1.10645e9 | + | 9.28426e8i | −0.665676 | + | 0.558569i | −0.911782 | − | 0.410674i | \(-0.865293\pi\) |
0.246106 | + | 0.969243i | \(0.420849\pi\) | |||||||
\(432\) | 4.61374e9 | − | 1.67927e9i | 2.75334 | − | 1.00213i | ||||
\(433\) | −8.91404e8 | + | 1.54396e9i | −0.527675 | + | 0.913961i | 0.471804 | + | 0.881703i | \(0.343603\pi\) |
−0.999480 | + | 0.0322572i | \(0.989730\pi\) | |||||||
\(434\) | 9.19216e7 | + | 1.59213e8i | 0.0539764 | + | 0.0934898i | ||||
\(435\) | −2.47662e9 | − | 2.07813e9i | −1.44260 | − | 1.21049i | ||||
\(436\) | −5.17383e8 | + | 8.96133e8i | −0.298957 | + | 0.517809i | ||||
\(437\) | −3.34444e8 | − | 1.89672e9i | −0.191707 | − | 1.08722i | ||||
\(438\) | 3.01098e9 | 1.71218 | ||||||||
\(439\) | −3.63502e7 | − | 2.06152e8i | −0.0205060 | − | 0.116295i | 0.972837 | − | 0.231493i | \(-0.0743610\pi\) |
−0.993343 | + | 0.115198i | \(0.963250\pi\) | |||||||
\(440\) | 8.86041e7 | − | 7.43477e7i | 0.0495872 | − | 0.0416086i | ||||
\(441\) | −2.68084e9 | − | 9.75747e8i | −1.48846 | − | 0.541754i | ||||
\(442\) | 3.48371e9 | − | 1.26797e9i | 1.91895 | − | 0.698441i | ||||
\(443\) | −1.91503e9 | −1.04655 | −0.523277 | − | 0.852163i | \(-0.675291\pi\) | ||||
−0.523277 | + | 0.852163i | \(0.675291\pi\) | |||||||
\(444\) | 2.19289e9 | + | 1.51433e9i | 1.18899 | + | 0.821072i | ||||
\(445\) | −2.45385e9 | −1.32004 | ||||||||
\(446\) | −1.63778e9 | + | 5.96105e8i | −0.874147 | + | 0.318164i | ||||
\(447\) | −5.97558e8 | − | 2.17493e8i | −0.316449 | − | 0.115178i | ||||
\(448\) | −1.01549e9 | + | 8.52095e8i | −0.533583 | + | 0.447729i | ||||
\(449\) | −3.41088e8 | − | 1.93441e9i | −0.177830 | − | 1.00852i | −0.934827 | − | 0.355104i | \(-0.884446\pi\) |
0.756997 | − | 0.653418i | \(-0.226666\pi\) | |||||||
\(450\) | −8.44573e7 | −0.0436911 | ||||||||
\(451\) | 1.15090e8 | + | 6.52708e8i | 0.0590772 | + | 0.335043i | ||||
\(452\) | −1.02660e9 | + | 1.77812e9i | −0.522896 | + | 0.905683i | ||||
\(453\) | 1.35421e9 | + | 1.13631e9i | 0.684449 | + | 0.574321i | ||||
\(454\) | 2.18218e9 | + | 3.77965e9i | 1.09445 | + | 1.89564i | ||||
\(455\) | −1.26486e9 | + | 2.19080e9i | −0.629509 | + | 1.09034i | ||||
\(456\) | −1.03874e9 | + | 3.78069e8i | −0.513013 | + | 0.186722i | ||||
\(457\) | 1.60935e9 | − | 1.35040e9i | 0.788757 | − | 0.661846i | −0.156681 | − | 0.987649i | \(-0.550079\pi\) |
0.945437 | + | 0.325804i | \(0.105635\pi\) | |||||||
\(458\) | −9.46115e8 | − | 1.63872e9i | −0.460166 | − | 0.797031i | ||||
\(459\) | −1.42498e9 | + | 8.08144e9i | −0.687802 | + | 3.90072i | ||||
\(460\) | 3.03171e8 | − | 1.71937e9i | 0.145223 | − | 0.823601i | ||||
\(461\) | 6.92108e8 | + | 5.80748e8i | 0.329019 | + | 0.276080i | 0.792300 | − | 0.610132i | \(-0.208884\pi\) |
−0.463281 | + | 0.886211i | \(0.653328\pi\) | |||||||
\(462\) | −1.42777e9 | − | 5.19667e8i | −0.673615 | − | 0.245176i | ||||
\(463\) | −1.00717e9 | − | 3.66582e8i | −0.471597 | − | 0.171647i | 0.0952784 | − | 0.995451i | \(-0.469626\pi\) |
−0.566876 | + | 0.823803i | \(0.691848\pi\) | |||||||
\(464\) | −1.96129e9 | − | 1.64572e9i | −0.911444 | − | 0.764792i | ||||
\(465\) | −4.34805e7 | + | 2.46590e8i | −0.0200544 | + | 0.113734i | ||||
\(466\) | −2.80499e8 | + | 1.59079e9i | −0.128405 | + | 0.728219i | ||||
\(467\) | 9.36603e8 | + | 1.62224e9i | 0.425546 | + | 0.737067i | 0.996471 | − | 0.0839349i | \(-0.0267488\pi\) |
−0.570925 | + | 0.821002i | \(0.693415\pi\) | |||||||
\(468\) | −3.06512e9 | + | 2.57194e9i | −1.38225 | + | 1.15985i | ||||
\(469\) | 2.66078e9 | − | 9.68443e8i | 1.19098 | − | 0.433480i | ||||
\(470\) | 2.43703e8 | − | 4.22106e8i | 0.108273 | − | 0.187534i | ||||
\(471\) | 1.45409e9 | + | 2.51855e9i | 0.641234 | + | 1.11065i | ||||
\(472\) | −1.44398e8 | − | 1.21164e8i | −0.0632069 | − | 0.0530369i | ||||
\(473\) | −2.60240e8 | + | 4.50748e8i | −0.113073 | + | 0.195848i | ||||
\(474\) | −1.46542e8 | − | 8.31078e8i | −0.0632028 | − | 0.358441i | ||||
\(475\) | 3.37406e7 | 0.0144452 | ||||||||
\(476\) | −6.55918e8 | − | 3.71990e9i | −0.278757 | − | 1.58091i | ||||
\(477\) | 6.89385e9 | − | 5.78462e9i | 2.90835 | − | 2.44040i | ||||
\(478\) | −1.59467e8 | − | 5.80412e7i | −0.0667841 | − | 0.0243074i | ||||
\(479\) | −3.89158e9 | + | 1.41642e9i | −1.61790 | + | 0.588868i | −0.982981 | − | 0.183709i | \(-0.941190\pi\) |
−0.634921 | + | 0.772577i | \(0.718967\pi\) | |||||||
\(480\) | −5.71483e9 | −2.35863 | ||||||||
\(481\) | 2.28573e9 | + | 5.96564e8i | 0.936520 | + | 0.244427i | ||||
\(482\) | 5.00661e9 | 2.03647 | ||||||||
\(483\) | 5.81969e9 | − | 2.11819e9i | 2.35009 | − | 0.855363i | ||||
\(484\) | 1.75116e9 | + | 6.37370e8i | 0.702048 | + | 0.255525i | ||||
\(485\) | −7.28786e8 | + | 6.11524e8i | −0.290071 | + | 0.243398i | ||||
\(486\) | −9.38563e8 | − | 5.32286e9i | −0.370883 | − | 2.10338i | ||||
\(487\) | −4.72408e8 | −0.185339 | −0.0926694 | − | 0.995697i | \(-0.529540\pi\) | ||||
−0.0926694 | + | 0.995697i | \(0.529540\pi\) | |||||||
\(488\) | −7.65509e7 | − | 4.34142e8i | −0.0298182 | − | 0.169107i | ||||
\(489\) | −2.83521e9 | + | 4.91073e9i | −1.09649 | + | 1.89917i | ||||
\(490\) | 1.79660e9 | + | 1.50753e9i | 0.689868 | + | 0.578868i | ||||
\(491\) | 1.72572e8 | + | 2.98903e8i | 0.0657937 | + | 0.113958i | 0.897046 | − | 0.441938i | \(-0.145709\pi\) |
−0.831252 | + | 0.555896i | \(0.812375\pi\) | |||||||
\(492\) | 2.87093e9 | − | 4.97259e9i | 1.08679 | − | 1.88237i | ||||
\(493\) | 4.02110e9 | − | 1.46356e9i | 1.51140 | − | 0.550106i | ||||
\(494\) | 2.77969e9 | − | 2.33243e9i | 1.03741 | − | 0.870493i | ||||
\(495\) | −7.27465e8 | − | 1.26001e9i | −0.269584 | − | 0.466933i | ||||
\(496\) | −3.44332e7 | + | 1.95281e8i | −0.0126704 | + | 0.0718577i | ||||
\(497\) | −5.34055e8 | + | 3.02878e9i | −0.195137 | + | 1.10667i | ||||
\(498\) | −9.84475e9 | − | 8.26073e9i | −3.57192 | − | 2.99720i | ||||
\(499\) | −3.45143e9 | − | 1.25622e9i | −1.24350 | − | 0.452598i | −0.365301 | − | 0.930889i | \(-0.619034\pi\) |
−0.878201 | + | 0.478291i | \(0.841256\pi\) | |||||||
\(500\) | −2.05355e9 | − | 7.47431e8i | −0.734700 | − | 0.267409i | ||||
\(501\) | 3.71218e9 | + | 3.11489e9i | 1.31885 | + | 1.10665i | ||||
\(502\) | −2.89705e8 | + | 1.64300e9i | −0.102210 | + | 0.579661i | ||||
\(503\) | 3.79019e8 | − | 2.14952e9i | 0.132792 | − | 0.753103i | −0.843579 | − | 0.537005i | \(-0.819556\pi\) |
0.976372 | − | 0.216098i | \(-0.0693331\pi\) | |||||||
\(504\) | −1.24952e9 | − | 2.16423e9i | −0.434747 | − | 0.753003i | ||||
\(505\) | 1.06124e9 | − | 8.90488e8i | 0.366686 | − | 0.307686i | ||||
\(506\) | 8.73474e8 | − | 3.17919e8i | 0.299725 | − | 0.109091i | ||||
\(507\) | 1.70131e8 | − | 2.94676e8i | 0.0579770 | − | 0.100419i | ||||
\(508\) | −1.14730e9 | − | 1.98717e9i | −0.388287 | − | 0.672532i | ||||
\(509\) | 2.15208e9 | + | 1.80581e9i | 0.723345 | + | 0.606959i | 0.928308 | − | 0.371811i | \(-0.121263\pi\) |
−0.204963 | + | 0.978770i | \(0.565707\pi\) | |||||||
\(510\) | 5.83928e9 | − | 1.01139e10i | 1.94923 | − | 3.37617i | ||||
\(511\) | −4.72223e8 | − | 2.67811e9i | −0.156557 | − | 0.887881i | ||||
\(512\) | −3.51789e9 | −1.15834 | ||||||||
\(513\) | 1.39474e9 | + | 7.90997e9i | 0.456124 | + | 2.58681i | ||||
\(514\) | 6.37412e8 | − | 5.34852e8i | 0.207038 | − | 0.173725i | ||||
\(515\) | 8.43865e8 | + | 3.07142e8i | 0.272237 | + | 0.0990863i | ||||
\(516\) | 4.23715e9 | − | 1.54220e9i | 1.35769 | − | 0.494158i | ||||
\(517\) | 1.14315e8 | 0.0363821 | ||||||||
\(518\) | 2.27685e9 | − | 4.96674e9i | 0.719747 | − | 1.57006i | ||||
\(519\) | 3.57102e9 | 1.12126 | ||||||||
\(520\) | −8.34672e8 | + | 3.03796e8i | −0.260318 | + | 0.0947480i | ||||
\(521\) | −2.85656e9 | − | 1.03970e9i | −0.884935 | − | 0.322090i | −0.140736 | − | 0.990047i | \(-0.544947\pi\) |
−0.744200 | + | 0.667957i | \(0.767169\pi\) | |||||||
\(522\) | −8.03125e9 | + | 6.73902e9i | −2.47136 | + | 2.07372i | ||||
\(523\) | −8.50995e7 | − | 4.82623e8i | −0.0260118 | − | 0.147520i | 0.969036 | − | 0.246921i | \(-0.0794187\pi\) |
−0.995048 | + | 0.0994002i | \(0.968308\pi\) | |||||||
\(524\) | 2.32627e9 | 0.706320 | ||||||||
\(525\) | 1.88401e7 | + | 1.06848e8i | 0.00568233 | + | 0.0322261i | ||||
\(526\) | −1.79349e9 | + | 3.10641e9i | −0.537338 | + | 0.930697i | ||||
\(527\) | −2.53882e8 | − | 2.13032e8i | −0.0755604 | − | 0.0634027i | ||||
\(528\) | −8.19413e8 | − | 1.41927e9i | −0.242261 | − | 0.419609i | ||||
\(529\) | −1.92002e8 | + | 3.32556e8i | −0.0563910 | + | 0.0976721i | ||||
\(530\) | −6.95195e9 | + | 2.53030e9i | −2.02834 | + | 0.738256i | ||||
\(531\) | −1.81637e9 | + | 1.52411e9i | −0.526469 | + | 0.441760i | ||||
\(532\) | −1.84857e9 | − | 3.20181e9i | −0.532286 | − | 0.921946i | ||||
\(533\) | 8.83827e8 | − | 5.01243e9i | 0.252826 | − | 1.43385i | ||||
\(534\) | −1.96539e9 | + | 1.11463e10i | −0.558541 | + | 3.16764i | ||||
\(535\) | −3.36103e9 | − | 2.82024e9i | −0.948930 | − | 0.796247i | ||||
\(536\) | 9.34257e8 | + | 3.40042e8i | 0.262053 | + | 0.0953796i | ||||
\(537\) | 3.32655e9 | + | 1.21076e9i | 0.927009 | + | 0.337404i | ||||
\(538\) | −1.09617e9 | − | 9.19799e8i | −0.303488 | − | 0.254657i | ||||
\(539\) | −9.55174e7 | + | 5.41706e8i | −0.0262737 | + | 0.149006i | ||||
\(540\) | −1.26432e9 | + | 7.17034e9i | −0.345526 | + | 1.95957i | ||||
\(541\) | 8.60884e8 | + | 1.49110e9i | 0.233751 | + | 0.404869i | 0.958909 | − | 0.283713i | \(-0.0915665\pi\) |
−0.725158 | + | 0.688583i | \(0.758233\pi\) | |||||||
\(542\) | 4.78398e9 | − | 4.01424e9i | 1.29060 | − | 1.08294i | ||||
\(543\) | −7.72404e9 | + | 2.81132e9i | −2.07036 | + | 0.753549i | ||||
\(544\) | 3.78204e9 | − | 6.55069e9i | 1.00723 | − | 1.74458i | ||||
\(545\) | 1.44474e9 | + | 2.50237e9i | 0.382298 | + | 0.662160i | ||||
\(546\) | 8.93834e9 | + | 7.50016e9i | 2.35008 | + | 1.97195i | ||||
\(547\) | −1.86851e9 | + | 3.23636e9i | −0.488136 | + | 0.845476i | −0.999907 | − | 0.0136458i | \(-0.995656\pi\) |
0.511771 | + | 0.859122i | \(0.328990\pi\) | |||||||
\(548\) | 7.75294e8 | + | 4.39691e9i | 0.201249 | + | 1.14134i | ||||
\(549\) | −5.54526e9 | −1.43027 | ||||||||
\(550\) | 2.82771e6 | + | 1.60367e7i | 0.000724711 | + | 0.00411004i | ||||
\(551\) | 3.20847e9 | − | 2.69223e9i | 0.817086 | − | 0.685617i | ||||
\(552\) | 2.04342e9 | + | 7.43745e8i | 0.517096 | + | 0.188208i | ||||
\(553\) | −7.16217e8 | + | 2.60682e8i | −0.180097 | + | 0.0655500i | ||||
\(554\) | −3.12843e9 | −0.781705 | ||||||||
\(555\) | 6.72382e9 | − | 3.18873e9i | 1.66952 | − | 0.791759i | ||||
\(556\) | 2.12276e8 | 0.0523767 | ||||||||
\(557\) | 1.78346e9 | − | 6.49126e8i | 0.437291 | − | 0.159161i | −0.113988 | − | 0.993482i | \(-0.536362\pi\) |
0.551278 | + | 0.834321i | \(0.314140\pi\) | |||||||
\(558\) | 7.63016e8 | + | 2.77715e8i | 0.185915 | + | 0.0676675i | ||||
\(559\) | 3.06187e9 | − | 2.56922e9i | 0.741389 | − | 0.622099i | ||||
\(560\) | 1.09587e9 | + | 6.21497e9i | 0.263694 | + | 1.49548i | ||||
\(561\) | 2.73907e9 | 0.654987 | ||||||||
\(562\) | −1.42316e8 | − | 8.07113e8i | −0.0338202 | − | 0.191804i | ||||
\(563\) | −1.35412e9 | + | 2.34540e9i | −0.319798 | + | 0.553907i | −0.980446 | − | 0.196789i | \(-0.936949\pi\) |
0.660647 | + | 0.750696i | \(0.270282\pi\) | |||||||
\(564\) | −7.58653e8 | − | 6.36585e8i | −0.178060 | − | 0.149410i | ||||
\(565\) | 2.86667e9 | + | 4.96522e9i | 0.668665 | + | 1.15816i | ||||
\(566\) | −2.34825e9 | + | 4.06728e9i | −0.544360 | + | 0.942859i | ||||
\(567\) | −1.17939e10 | + | 4.29265e9i | −2.71718 | + | 0.988973i | ||||
\(568\) | −8.27233e8 | + | 6.94131e8i | −0.189413 | + | 0.158936i | ||||
\(569\) | −3.85370e8 | − | 6.67481e8i | −0.0876971 | − | 0.151896i | 0.818840 | − | 0.574022i | \(-0.194617\pi\) |
−0.906537 | + | 0.422126i | \(0.861284\pi\) | |||||||
\(570\) | 1.98493e9 | − | 1.12571e10i | 0.448935 | − | 2.54604i | ||||
\(571\) | −2.96817e8 | + | 1.68333e9i | −0.0667209 | + | 0.378393i | 0.933103 | + | 0.359610i | \(0.117090\pi\) |
−0.999824 | + | 0.0187829i | \(0.994021\pi\) | |||||||
\(572\) | 5.90982e8 | + | 4.95893e8i | 0.132035 | + | 0.110790i | ||||
\(573\) | −1.23069e10 | − | 4.47934e9i | −2.73279 | − | 0.994655i | ||||
\(574\) | −1.10621e10 | − | 4.02629e9i | −2.44145 | − | 0.888615i | ||||
\(575\) | −5.08462e7 | − | 4.26650e7i | −0.0111538 | − | 0.00935911i | ||||
\(576\) | −1.01670e9 | + | 5.76597e9i | −0.221673 | + | 1.25717i | ||||
\(577\) | 1.77586e8 | − | 1.00714e9i | 0.0384852 | − | 0.218260i | −0.959500 | − | 0.281709i | \(-0.909099\pi\) |
0.997985 | + | 0.0634485i | \(0.0202099\pi\) | |||||||
\(578\) | 4.62549e9 | + | 8.01158e9i | 0.996345 | + | 1.72572i | ||||
\(579\) | 3.61738e9 | − | 3.03534e9i | 0.774496 | − | 0.649879i | ||||
\(580\) | 3.56776e9 | − | 1.29856e9i | 0.759272 | − | 0.276352i | ||||
\(581\) | −5.80349e9 | + | 1.00519e10i | −1.22765 | + | 2.12634i | ||||
\(582\) | 2.19406e9 | + | 3.80021e9i | 0.461336 | + | 0.799057i | ||||
\(583\) | −1.32919e9 | − | 1.11533e9i | −0.277810 | − | 0.233111i | ||||
\(584\) | 4.77425e8 | − | 8.26924e8i | 0.0991882 | − | 0.171799i | ||||
\(585\) | 1.94018e9 | + | 1.10033e10i | 0.400679 | + | 2.27236i | ||||
\(586\) | 1.01136e10 | 2.07617 | ||||||||
\(587\) | 7.70575e8 | + | 4.37015e9i | 0.157247 | + | 0.891790i | 0.956703 | + | 0.291066i | \(0.0940099\pi\) |
−0.799456 | + | 0.600724i | \(0.794879\pi\) | |||||||
\(588\) | 3.65049e9 | − | 3.06312e9i | 0.740509 | − | 0.621361i | ||||
\(589\) | −3.04824e8 | − | 1.10947e8i | −0.0614675 | − | 0.0223723i | ||||
\(590\) | 1.83168e9 | − | 6.66676e8i | 0.367170 | − | 0.133639i | ||||
\(591\) | 1.05038e10 | 2.09309 | ||||||||
\(592\) | 5.32475e9 | − | 2.52523e9i | 1.05481 | − | 0.500237i | ||||
\(593\) | 2.80867e9 | 0.553106 | 0.276553 | − | 0.960999i | \(-0.410808\pi\) | ||||
0.276553 | + | 0.960999i | \(0.410808\pi\) | |||||||
\(594\) | −3.64268e9 | + | 1.32583e9i | −0.713129 | + | 0.259558i | ||||
\(595\) | −9.91159e9 | − | 3.60752e9i | −1.92901 | − | 0.702102i | ||||
\(596\) | 5.72074e8 | − | 4.80027e8i | 0.110685 | − | 0.0928760i | ||||
\(597\) | −2.44199e9 | − | 1.38492e10i | −0.469714 | − | 2.66388i | ||||
\(598\) | −7.13829e9 | −1.36502 | ||||||||
\(599\) | −6.66633e8 | − | 3.78067e9i | −0.126734 | − | 0.718744i | −0.980263 | − | 0.197699i | \(-0.936653\pi\) |
0.853529 | − | 0.521046i | \(-0.174458\pi\) | |||||||
\(600\) | −1.90477e7 | + | 3.29915e7i | −0.00360008 | + | 0.00623552i | ||||
\(601\) | −7.10532e9 | − | 5.96207e9i | −1.33513 | − | 1.12031i | −0.982849 | − | 0.184412i | \(-0.940962\pi\) |
−0.352280 | − | 0.935895i | \(-0.614593\pi\) | |||||||
\(602\) | −4.62232e9 | − | 8.00609e9i | −0.863519 | − | 1.49566i | ||||
\(603\) | 6.25306e9 | − | 1.08306e10i | 1.16140 | − | 2.01160i | ||||
\(604\) | −1.95084e9 | + | 7.10046e8i | −0.360240 | + | 0.131116i | ||||
\(605\) | 3.98632e9 | − | 3.34492e9i | 0.731860 | − | 0.614104i | ||||
\(606\) | −3.19494e9 | − | 5.53379e9i | −0.583187 | − | 1.01011i | ||||
\(607\) | −9.06583e8 | + | 5.14149e9i | −0.164531 | + | 0.933101i | 0.785016 | + | 0.619475i | \(0.212655\pi\) |
−0.949547 | + | 0.313625i | \(0.898456\pi\) | |||||||
\(608\) | 1.28562e9 | − | 7.29111e9i | 0.231980 | − | 1.31562i | ||||
\(609\) | 1.03171e10 | + | 8.65711e9i | 1.85097 | + | 1.55315i | ||||
\(610\) | 4.28372e9 | + | 1.55915e9i | 0.764129 | + | 0.278120i | ||||
\(611\) | −8.24936e8 | − | 3.00252e8i | −0.146311 | − | 0.0532527i | ||||
\(612\) | −1.27801e10 | − | 1.07238e10i | −2.25374 | − | 1.89111i | ||||
\(613\) | −8.03525e8 | + | 4.55702e9i | −0.140892 | + | 0.799041i | 0.829681 | + | 0.558237i | \(0.188522\pi\) |
−0.970574 | + | 0.240804i | \(0.922589\pi\) | |||||||
\(614\) | −1.28955e9 | + | 7.31341e9i | −0.224828 | + | 1.27506i | ||||
\(615\) | −8.01678e9 | − | 1.38855e10i | −1.38975 | − | 2.40712i | ||||
\(616\) | −3.69108e8 | + | 3.09719e8i | −0.0636241 | + | 0.0533869i | ||||
\(617\) | 5.79850e9 | − | 2.11048e9i | 0.993843 | − | 0.361729i | 0.206636 | − | 0.978418i | \(-0.433749\pi\) |
0.787207 | + | 0.616689i | \(0.211526\pi\) | |||||||
\(618\) | 2.07104e9 | − | 3.58715e9i | 0.352963 | − | 0.611349i | ||||
\(619\) | −5.35397e8 | − | 9.27334e8i | −0.0907316 | − | 0.157152i | 0.817088 | − | 0.576514i | \(-0.195587\pi\) |
−0.907819 | + | 0.419362i | \(0.862254\pi\) | |||||||
\(620\) | −2.25259e8 | − | 1.89015e8i | −0.0379587 | − | 0.0318511i | ||||
\(621\) | 7.90033e9 | − | 1.36838e10i | 1.32381 | − | 2.29290i | ||||
\(622\) | 1.51747e9 | + | 8.60600e9i | 0.252845 | + | 1.43395i | ||||
\(623\) | 1.02223e10 | 1.69371 | ||||||||
\(624\) | 2.18541e9 | + | 1.23941e10i | 0.360070 | + | 2.04206i | ||||
\(625\) | −4.73921e9 | + | 3.97667e9i | −0.776472 | + | 0.651537i | ||||
\(626\) | −8.08665e9 | − | 2.94330e9i | −1.31752 | − | 0.479539i | ||||
\(627\) | 2.51927e9 | − | 9.16938e8i | 0.408167 | − | 0.148561i | ||||
\(628\) | −3.41526e9 | −0.550256 | ||||||||
\(629\) | −7.94659e8 | + | 9.81753e9i | −0.127322 | + | 1.57299i | ||||
\(630\) | 2.58421e10 | 4.11753 | ||||||||
\(631\) | −3.04698e9 | + | 1.10901e9i | −0.482800 | + | 0.175725i | −0.571942 | − | 0.820294i | \(-0.693810\pi\) |
0.0891419 | + | 0.996019i | \(0.471588\pi\) | |||||||
\(632\) | −2.51480e8 | − | 9.15311e7i | −0.0396272 | − | 0.0144231i | ||||
\(633\) | 4.38102e9 | − | 3.67611e9i | 0.686534 | − | 0.576070i | ||||
\(634\) | −4.58839e8 | − | 2.60221e9i | −0.0715069 | − | 0.405536i | ||||
\(635\) | −6.40742e9 | −0.993060 | ||||||||
\(636\) | 2.61030e9 | + | 1.48037e10i | 0.402337 | + | 2.28177i | ||||
\(637\) | 2.11209e9 | − | 3.65824e9i | 0.323761 | − | 0.560770i | ||||
\(638\) | 1.54850e9 | + | 1.29934e9i | 0.236068 | + | 0.198085i | ||||
\(639\) | 6.79182e9 | + | 1.17638e10i | 1.02975 | + | 1.78358i | ||||
\(640\) | −1.85521e9 | + | 3.21331e9i | −0.279745 | + | 0.484532i | ||||
\(641\) | −6.45126e9 | + | 2.34807e9i | −0.967479 | + | 0.352134i | −0.776960 | − | 0.629550i | \(-0.783239\pi\) |
−0.190519 | + | 0.981683i | \(0.561017\pi\) | |||||||
\(642\) | −1.55026e10 | + | 1.30082e10i | −2.31223 | + | 1.94019i | ||||
\(643\) | 5.26338e9 | + | 9.11644e9i | 0.780775 | + | 1.35234i | 0.931491 | + | 0.363765i | \(0.118509\pi\) |
−0.150716 | + | 0.988577i | \(0.548158\pi\) | |||||||
\(644\) | −1.26296e9 | + | 7.16257e9i | −0.186332 | + | 1.05674i | ||||
\(645\) | 2.18644e9 | − | 1.23999e10i | 0.320832 | − | 1.81953i | ||||
\(646\) | 1.15900e10 | + | 9.72513e9i | 1.69148 | + | 1.41932i | ||||
\(647\) | −6.74520e9 | − | 2.45505e9i | −0.979106 | − | 0.356366i | −0.197614 | − | 0.980280i | \(-0.563319\pi\) |
−0.781493 | + | 0.623914i | \(0.785541\pi\) | |||||||
\(648\) | −4.14112e9 | − | 1.50724e9i | −0.597868 | − | 0.217606i | ||||
\(649\) | 3.50212e8 | + | 2.93862e8i | 0.0502891 | + | 0.0421976i | ||||
\(650\) | 2.17152e7 | − | 1.23153e8i | 0.00310147 | − | 0.0175893i | ||||
\(651\) | 1.81132e8 | − | 1.02725e9i | 0.0257313 | − | 0.145929i | ||||
\(652\) | −3.32958e9 | − | 5.76700e9i | −0.470460 | − | 0.814860i | ||||
\(653\) | −4.97388e9 | + | 4.17358e9i | −0.699036 | + | 0.586561i | −0.921499 | − | 0.388380i | \(-0.873035\pi\) |
0.222463 | + | 0.974941i | \(0.428590\pi\) | |||||||
\(654\) | 1.25238e10 | − | 4.55830e9i | 1.75071 | − | 0.637208i | ||||
\(655\) | 3.24795e9 | − | 5.62561e9i | 0.451611 | − | 0.782213i | ||||
\(656\) | −6.34868e9 | − | 1.09962e10i | −0.878051 | − | 1.52083i | ||||
\(657\) | −9.20091e9 | − | 7.72048e9i | −1.26576 | − | 1.06210i | ||||
\(658\) | −1.01522e9 | + | 1.75841e9i | −0.138922 | + | 0.240619i | ||||
\(659\) | −2.43384e8 | − | 1.38030e9i | −0.0331278 | − | 0.187877i | 0.963753 | − | 0.266795i | \(-0.0859646\pi\) |
−0.996881 | + | 0.0789179i | \(0.974854\pi\) | |||||||
\(660\) | 2.43027e9 | 0.329041 | ||||||||
\(661\) | 1.88739e9 | + | 1.07039e10i | 0.254189 | + | 1.44158i | 0.798146 | + | 0.602465i | \(0.205814\pi\) |
−0.543957 | + | 0.839113i | \(0.683074\pi\) | |||||||
\(662\) | −8.49305e9 | + | 7.12652e9i | −1.13779 | + | 0.954716i | ||||
\(663\) | −1.97660e10 | − | 7.19423e9i | −2.63403 | − | 0.958709i | ||||
\(664\) | −3.82969e9 | + | 1.39389e9i | −0.507663 | + | 0.184774i | ||||
\(665\) | −1.03239e10 | −1.36134 | ||||||||
\(666\) | −6.39716e9 | − | 2.32685e10i | −0.839127 | − | 3.05217i | ||||
\(667\) | −8.23942e9 | −1.07512 | ||||||||
\(668\) | −5.34767e9 | + | 1.94639e9i | −0.694139 | + | 0.252646i | ||||
\(669\) | 9.29251e9 | + | 3.38220e9i | 1.19989 | + | 0.436725i | ||||
\(670\) | −7.87571e9 | + | 6.60851e9i | −1.01164 | + | 0.848871i | ||||
\(671\) | 1.85660e8 | + | 1.05293e9i | 0.0237241 | + | 0.134546i | ||||
\(672\) | 2.38069e10 | 3.02629 | ||||||||
\(673\) | −1.11674e9 | − | 6.33335e9i | −0.141221 | − | 0.800905i | −0.970324 | − | 0.241809i | \(-0.922259\pi\) |
0.829103 | − | 0.559096i | \(-0.188852\pi\) | |||||||
\(674\) | 1.56791e9 | − | 2.71570e9i | 0.197248 | − | 0.341643i | ||||
\(675\) | 2.12046e8 | + | 1.77927e8i | 0.0265379 | + | 0.0222679i | ||||
\(676\) | 1.99796e8 | + | 3.46057e8i | 0.0248756 | + | 0.0430858i | ||||
\(677\) | 4.84242e9 | − | 8.38731e9i | 0.599794 | − | 1.03887i | −0.393057 | − | 0.919514i | \(-0.628583\pi\) |
0.992851 | − | 0.119359i | \(-0.0380840\pi\) | |||||||
\(678\) | 2.48499e10 | − | 9.04463e9i | 3.06211 | − | 1.11452i | ||||
\(679\) | 3.03599e9 | − | 2.54750e9i | 0.372182 | − | 0.312298i | ||||
\(680\) | −1.85177e9 | − | 3.20735e9i | −0.225842 | − | 0.391170i | ||||
\(681\) | 4.29999e9 | − | 2.43865e10i | 0.521739 | − | 2.95893i | ||||
\(682\) | 2.71860e7 | − | 1.54179e8i | 0.00328171 | − | 0.0186115i | ||||
\(683\) | −4.61436e8 | − | 3.87191e8i | −0.0554165 | − | 0.0465000i | 0.614659 | − | 0.788793i | \(-0.289294\pi\) |
−0.670075 | + | 0.742293i | \(0.733738\pi\) | |||||||
\(684\) | −1.53445e10 | − | 5.58492e9i | −1.83339 | − | 0.667300i | ||||
\(685\) | 1.17155e10 | + | 4.26409e9i | 1.39265 | + | 0.506884i | ||||
\(686\) | 3.70297e9 | + | 3.10716e9i | 0.437942 | + | 0.367477i | ||||
\(687\) | −1.86432e9 | + | 1.05731e10i | −0.219367 | + | 1.24409i | ||||
\(688\) | 1.73149e9 | − | 9.81976e9i | 0.202703 | − | 1.14959i | ||||
\(689\) | 6.66246e9 | + | 1.15397e10i | 0.776010 | + | 1.34409i | ||||
\(690\) | −1.72259e10 | + | 1.44542e10i | −1.99622 | + | 1.67503i | ||||
\(691\) | −2.77318e9 | + | 1.00936e9i | −0.319746 | + | 0.116378i | −0.496907 | − | 0.867804i | \(-0.665531\pi\) |
0.177161 | + | 0.984182i | \(0.443309\pi\) | |||||||
\(692\) | −2.09684e9 | + | 3.63184e9i | −0.240544 | + | 0.416635i | ||||
\(693\) | 3.03048e9 | + | 5.24895e9i | 0.345896 | + | 0.599109i | ||||
\(694\) | −1.09086e10 | − | 9.15339e9i | −1.23883 | − | 1.03950i | ||||
\(695\) | 2.96379e8 | − | 5.13344e8i | 0.0334889 | − | 0.0580045i | ||||
\(696\) | 8.21172e8 | + | 4.65710e9i | 0.0923212 | + | 0.523580i | ||||
\(697\) | 2.12218e10 | 2.37393 | ||||||||
\(698\) | −1.52683e9 | − | 8.65908e9i | −0.169940 | − | 0.963779i | ||||
\(699\) | 7.02089e9 | − | 5.89122e9i | 0.777538 | − | 0.652432i | ||||
\(700\) | −1.19730e8 | − | 4.35782e7i | −0.0131935 | − | 0.00480204i | ||||
\(701\) | −1.28656e10 | + | 4.68270e9i | −1.41064 | + | 0.513433i | −0.931319 | − | 0.364205i | \(-0.881341\pi\) |
−0.479325 | + | 0.877637i | \(0.659119\pi\) | |||||||
\(702\) | 2.97690e10 | 3.24777 | ||||||||
\(703\) | 2.55566e9 | + | 9.29574e9i | 0.277433 | + | 1.00911i | ||||
\(704\) | 1.12888e9 | 0.121939 | ||||||||
\(705\) | −2.59868e9 | + | 9.45843e8i | −0.279313 | + | 0.101662i | ||||
\(706\) | 4.36609e9 | + | 1.58913e9i | 0.466956 | + | 0.169958i | ||||
\(707\) | −4.42094e9 | + | 3.70961e9i | −0.470486 | + | 0.394784i | ||||
\(708\) | −6.87752e8 | − | 3.90043e9i | −0.0728308 | − | 0.413044i | ||||
\(709\) | 3.46954e9 | 0.365604 | 0.182802 | − | 0.983150i | \(-0.441483\pi\) | ||||
0.182802 | + | 0.983150i | \(0.441483\pi\) | |||||||
\(710\) | −1.93910e9 | − | 1.09972e10i | −0.203327 | − | 1.15313i | ||||
\(711\) | −1.68317e9 | + | 2.91534e9i | −0.175625 | + | 0.304191i | ||||
\(712\) | 2.74954e9 | + | 2.30714e9i | 0.285483 | + | 0.239548i | ||||
\(713\) | 3.19070e8 | + | 5.52645e8i | 0.0329664 | + | 0.0570995i | ||||
\(714\) | −2.43253e10 | + | 4.21327e10i | −2.50101 | + | 4.33187i | ||||
\(715\) | 2.02434e9 | − | 7.36801e8i | 0.207116 | − | 0.0753840i | ||||
\(716\) | −3.18468e9 | + | 2.67226e9i | −0.324243 | + | 0.272072i | ||||
\(717\) | 4.81428e8 | + | 8.33858e8i | 0.0487769 | + | 0.0844841i | ||||
\(718\) | 1.95061e9 | − | 1.10625e10i | 0.196668 | − | 1.11536i | ||||
\(719\) | 1.09837e9 | − | 6.22917e9i | 0.110204 | − | 0.624999i | −0.878809 | − | 0.477173i | \(-0.841661\pi\) |
0.989013 | − | 0.147826i | \(-0.0472275\pi\) | |||||||
\(720\) | 2.13522e10 | + | 1.79166e10i | 2.13196 | + | 1.78892i | ||||
\(721\) | −3.51538e9 | − | 1.27950e9i | −0.349301 | − | 0.127135i | ||||
\(722\) | 1.21053e9 | + | 4.40598e8i | 0.119701 | + | 0.0435675i | ||||
\(723\) | −2.17608e10 | − | 1.82594e10i | −2.14136 | − | 1.79682i | ||||
\(724\) | 1.67623e9 | − | 9.50636e9i | 0.164153 | − | 0.930956i | ||||
\(725\) | 2.50649e7 | − | 1.42150e8i | 0.00244277 | − | 0.0138537i | ||||
\(726\) | −1.20011e10 | − | 2.07864e10i | −1.16397 | − | 2.01605i | ||||
\(727\) | −4.07533e9 | + | 3.41961e9i | −0.393362 | + | 0.330070i | −0.817921 | − | 0.575330i | \(-0.804873\pi\) |
0.424559 | + | 0.905400i | \(0.360429\pi\) | |||||||
\(728\) | 3.47709e9 | − | 1.26556e9i | 0.334007 | − | 0.121569i | ||||
\(729\) | −3.62712e9 | + | 6.28236e9i | −0.346750 | + | 0.600588i | ||||
\(730\) | 4.93696e9 | + | 8.55107e9i | 0.469710 | + | 0.813562i | ||||
\(731\) | 1.27665e10 | + | 1.07124e10i | 1.20882 | + | 1.01432i | ||||
\(732\) | 4.63131e9 | − | 8.02166e9i | 0.436430 | − | 0.755920i | ||||
\(733\) | 1.54530e8 | + | 8.76385e8i | 0.0144927 | + | 0.0821922i | 0.991196 | − | 0.132401i | \(-0.0422686\pi\) |
−0.976704 | + | 0.214593i | \(0.931157\pi\) | |||||||
\(734\) | −3.23313e9 | −0.301778 | ||||||||
\(735\) | −2.31071e9 | − | 1.31047e10i | −0.214654 | − | 1.21737i | ||||
\(736\) | −1.11570e10 | + | 9.36186e9i | −1.03152 | + | 0.865545i | ||||
\(737\) | −2.26587e9 | − | 8.24710e8i | −0.208497 | − | 0.0758865i | ||||
\(738\) | −4.88584e10 | + | 1.77830e10i | −4.47448 | + | 1.62858i | ||||
\(739\) | 1.69245e10 | 1.54262 | 0.771311 | − | 0.636459i | \(-0.219601\pi\) | ||||
0.771311 | + | 0.636459i | \(0.219601\pi\) | |||||||
\(740\) | −7.05069e8 | + | 8.71071e9i | −0.0639618 | + | 0.790210i | ||||
\(741\) | −2.05882e10 | −1.85889 | ||||||||
\(742\) | 2.89605e10 | − | 1.05408e10i | 2.60251 | − | 0.947237i | ||||
\(743\) | −4.04495e9 | − | 1.47224e9i | −0.361787 | − | 0.131680i | 0.154730 | − | 0.987957i | \(-0.450549\pi\) |
−0.516516 | + | 0.856277i | \(0.672772\pi\) | |||||||
\(744\) | 2.80567e8 | − | 2.35424e8i | 0.0249765 | − | 0.0209578i | ||||
\(745\) | −3.62115e8 | − | 2.05366e9i | −0.0320848 | − | 0.181962i | ||||
\(746\) | 1.34116e10 | 1.18276 | ||||||||
\(747\) | 8.90204e9 | + | 5.04860e10i | 0.781390 | + | 4.43148i | ||||
\(748\) | −1.60834e9 | + | 2.78572e9i | −0.140514 | + | 0.243378i | ||||
\(749\) | 1.40014e10 | + | 1.17486e10i | 1.21755 | + | 1.02164i | ||||
\(750\) | 1.40734e10 | + | 2.43758e10i | 1.21810 | + | 2.10982i | ||||
\(751\) | 2.29790e9 | − | 3.98008e9i | 0.197966 | − | 0.342888i | −0.749903 | − | 0.661548i | \(-0.769900\pi\) |
0.947869 | + | 0.318661i | \(0.103233\pi\) | |||||||
\(752\) | −2.05796e9 | + | 7.49035e8i | −0.176471 | + | 0.0642303i | ||||
\(753\) | 7.25131e9 | − | 6.08457e9i | 0.618919 | − | 0.519335i | ||||
\(754\) | −7.76168e9 | − | 1.34436e10i | −0.659411 | − | 1.14213i | ||||
\(755\) | −1.00666e9 | + | 5.70906e9i | −0.0851273 | + | 0.482781i | ||||
\(756\) | 5.26694e9 | − | 2.98703e10i | 0.443335 | − | 2.51428i | ||||
\(757\) | −1.79813e10 | − | 1.50881e10i | −1.50655 | − | 1.26415i | −0.870146 | − | 0.492794i | \(-0.835976\pi\) |
−0.636407 | − | 0.771354i | \(-0.719580\pi\) | |||||||
\(758\) | 2.83515e10 | + | 1.03191e10i | 2.36447 | + | 0.860595i | ||||
\(759\) | −4.95595e9 | − | 1.80382e9i | −0.411415 | − | 0.149743i | ||||
\(760\) | −2.77687e9 | − | 2.33007e9i | −0.229461 | − | 0.192540i | ||||
\(761\) | −8.15464e8 | + | 4.62473e9i | −0.0670747 | + | 0.380399i | 0.932729 | + | 0.360578i | \(0.117421\pi\) |
−0.999804 | + | 0.0198209i | \(0.993690\pi\) | |||||||
\(762\) | −5.13198e9 | + | 2.91049e10i | −0.420187 | + | 2.38300i | ||||
\(763\) | −6.01852e9 | − | 1.04244e10i | −0.490517 | − | 0.849600i | ||||
\(764\) | 1.17820e10 | − | 9.88629e9i | 0.955858 | − | 0.802060i | ||||
\(765\) | −4.37768e10 | + | 1.59334e10i | −3.53532 | + | 1.28675i | ||||
\(766\) | 6.23184e9 | − | 1.07939e10i | 0.500975 | − | 0.867714i | ||||
\(767\) | −1.75540e9 | − | 3.04044e9i | −0.140473 | − | 0.243306i | ||||
\(768\) | 2.26250e10 | + | 1.89846e10i | 1.80229 | + | 1.51230i | ||||
\(769\) | −3.23641e9 | + | 5.60563e9i | −0.256638 | + | 0.444511i | −0.965339 | − | 0.260998i | \(-0.915948\pi\) |
0.708701 | + | 0.705509i | \(0.249282\pi\) | |||||||
\(770\) | −8.65218e8 | − | 4.90689e9i | −0.0682980 | − | 0.387337i | ||||
\(771\) | −4.72110e9 | −0.370982 | ||||||||
\(772\) | 9.62973e8 | + | 5.46129e9i | 0.0753275 | + | 0.427204i | ||||
\(773\) | 4.36874e9 | − | 3.66580e9i | 0.340195 | − | 0.285457i | −0.456644 | − | 0.889650i | \(-0.650949\pi\) |
0.796838 | + | 0.604192i | \(0.206504\pi\) | |||||||
\(774\) | −3.83686e10 | − | 1.39650e10i | −2.97428 | − | 1.08255i | ||||
\(775\) | −1.05051e7 | + | 3.82355e6i | −0.000810671 | + | 0.000295060i | ||||
\(776\) | 1.39157e9 | 0.106903 | ||||||||
\(777\) | −2.80102e10 | + | 1.32837e10i | −2.14211 | + | 1.01589i | ||||
\(778\) | 2.34486e10 | 1.78521 | ||||||||
\(779\) | 1.95189e10 | − | 7.10429e9i | 1.47936 | − | 0.538443i | ||||
\(780\) | −1.75376e10 | − | 6.38315e9i | −1.32324 | − | 0.481620i | ||||
\(781\) | 2.00630e9 | − | 1.68349e9i | 0.150702 | − | 0.126454i | ||||
\(782\) | −5.16833e9 | − | 2.93111e10i | −0.386480 | − | 2.19184i | ||||
\(783\) | 3.43611e10 | 2.55800 | ||||||||
\(784\) | −1.82990e9 | − | 1.03779e10i | −0.135620 | − | 0.769137i | ||||
\(785\) | −4.76839e9 | + | 8.25909e9i | −0.351826 | + | 0.609381i | ||||
\(786\) | −2.29522e10 | − | 1.92592e10i | −1.68595 | − | 1.41468i | ||||
\(787\) | −1.08360e10 | − | 1.87684e10i | −0.792421 | − | 1.37251i | −0.924464 | − | 0.381270i | \(-0.875487\pi\) |
0.132042 | − | 0.991244i | \(-0.457847\pi\) | |||||||
\(788\) | −6.16763e9 | + | 1.06827e10i | −0.449032 | + | 0.777745i | ||||
\(789\) | 1.91245e10 | − | 6.96075e9i | 1.38618 | − | 0.504530i | ||||
\(790\) | 2.11995e9 | − | 1.77885e9i | 0.152979 | − | 0.128365i | ||||
\(791\) | −1.19420e10 | − | 2.06842e10i | −0.857946 | − | 1.48601i | ||||
\(792\) | −3.69548e8 | + | 2.09581e9i | −0.0264321 | + | 0.149904i | ||||
\(793\) | 1.42577e9 | − | 8.08593e9i | 0.101530 | − | 0.575803i | ||||
\(794\) | −2.36283e10 | − | 1.98265e10i | −1.67518 | − | 1.40564i | ||||
\(795\) | 3.94442e10 | + | 1.43565e10i | 2.78419 | + | 1.01336i | ||||
\(796\) | 1.55190e10 | + | 5.64844e9i | 1.09060 | + | 0.396947i | ||||
\(797\) | 7.99932e9 | + | 6.71222e9i | 0.559692 | + | 0.469637i | 0.878207 | − | 0.478281i | \(-0.158740\pi\) |
−0.318515 | + | 0.947918i | \(0.603184\pi\) | |||||||
\(798\) | −8.26885e9 | + | 4.68950e10i | −0.576017 | + | 3.26675i | ||||
\(799\) | 6.35610e8 | − | 3.60472e9i | 0.0440836 | − | 0.250010i | ||||
\(800\) | −1.27575e8 | − | 2.20966e8i | −0.00880946 | − | 0.0152584i | ||||
\(801\) | 3.45861e10 | − | 2.90212e10i | 2.37787 | − | 1.99527i | ||||
\(802\) | −8.38549e9 | + | 3.05207e9i | −0.574008 | + | 0.208922i | ||||
\(803\) | −1.15791e9 | + | 2.00555e9i | −0.0789167 | + | 0.136688i | ||||
\(804\) | 1.04449e10 | + | 1.80911e10i | 0.708775 | + | 1.22763i | ||||
\(805\) | 1.55579e10 | + | 1.30546e10i | 1.05115 | + | 0.882018i | ||||
\(806\) | −6.01139e8 | + | 1.04120e9i | −0.0404391 | + | 0.0700427i | ||||
\(807\) | 1.40985e9 | + | 7.99565e9i | 0.0944311 | + | 0.535545i | ||||
\(808\) | −2.02637e9 | −0.135138 | ||||||||
\(809\) | −4.64134e9 | − | 2.63224e10i | −0.308194 | − | 1.74785i | −0.608078 | − | 0.793878i | \(-0.708059\pi\) |
0.299884 | − | 0.953976i | \(-0.403052\pi\) | |||||||
\(810\) | 3.49093e10 | − | 2.92924e10i | 2.30804 | − | 1.93668i | ||||
\(811\) | −2.23913e10 | − | 8.14977e9i | −1.47403 | − | 0.536503i | −0.524839 | − | 0.851202i | \(-0.675874\pi\) |
−0.949192 | + | 0.314699i | \(0.898097\pi\) | |||||||
\(812\) | −1.48626e10 | + | 5.40955e9i | −0.974202 | + | 0.354581i | ||||
\(813\) | −3.54333e10 | −2.31257 | ||||||||
\(814\) | −4.20403e9 | + | 1.99374e9i | −0.273200 | + | 0.129564i | ||||
\(815\) | −1.85950e10 | −1.20322 | ||||||||
\(816\) | −4.93100e10 | + | 1.79474e10i | −3.17701 | + | 1.15634i | ||||
\(817\) | 1.53282e10 | + | 5.57901e9i | 0.983363 | + | 0.357915i | ||||
\(818\) | 1.40342e10 | − | 1.17761e10i | 0.896501 | − | 0.752254i | ||||
\(819\) | −8.08243e9 | − | 4.58377e10i | −0.514101 | − | 2.91561i | ||||
\(820\) | 1.88293e10 | 1.19257 | ||||||||
\(821\) | 2.85505e9 | + | 1.61918e10i | 0.180058 | + | 1.02116i | 0.932142 | + | 0.362093i | \(0.117938\pi\) |
−0.752084 | + | 0.659068i | \(0.770951\pi\) | |||||||
\(822\) | 2.87525e10 | − | 4.98008e10i | 1.80561 | − | 3.12741i | ||||
\(823\) | 1.19206e10 | + | 1.00026e10i | 0.745417 | + | 0.625479i | 0.934286 | − | 0.356523i | \(-0.116038\pi\) |
−0.188870 | + | 0.982002i | \(0.560482\pi\) | |||||||
\(824\) | −6.56773e8 | − | 1.13756e9i | −0.0408950 | − | 0.0708322i | ||||
\(825\) | 4.61966e7 | − | 8.00149e7i | 0.00286432 | − | 0.00496115i | ||||
\(826\) | −7.63042e9 | + | 2.77725e9i | −0.471106 | + | 0.171468i | ||||
\(827\) | −1.06233e10 | + | 8.91403e9i | −0.653117 | + | 0.548030i | −0.908015 | − | 0.418938i | \(-0.862403\pi\) |
0.254898 | + | 0.966968i | \(0.417958\pi\) | |||||||
\(828\) | 1.60616e10 | + | 2.78195e10i | 0.983290 | + | 1.70311i | ||||
\(829\) | −2.66256e7 | + | 1.51001e8i | −0.00162315 | + | 0.00920535i | −0.985609 | − | 0.169044i | \(-0.945932\pi\) |
0.983985 | + | 0.178249i | \(0.0570432\pi\) | |||||||
\(830\) | 7.31818e9 | − | 4.15035e10i | 0.444252 | − | 2.51948i | ||||
\(831\) | 1.35975e10 | + | 1.14096e10i | 0.821966 | + | 0.689711i | ||||
\(832\) | −8.14636e9 | − | 2.96503e9i | −0.490379 | − | 0.178483i | ||||
\(833\) | 1.65506e10 | + | 6.02393e9i | 0.992102 | + | 0.361096i | ||||
\(834\) | −2.09442e9 | − | 1.75742e9i | −0.125021 | − | 0.104905i | ||||
\(835\) | −2.75948e9 | + | 1.56498e10i | −0.164030 | + | 0.930262i | ||||
\(836\) | −5.46717e8 | + | 3.10059e9i | −0.0323624 | + | 0.183536i | ||||
\(837\) | −1.33063e9 | − | 2.30471e9i | −0.0784362 | − | 0.135856i | ||||
\(838\) | −5.90065e9 | + | 4.95123e9i | −0.346374 | + | 0.290643i | ||||
\(839\) | 4.55613e9 | − | 1.65830e9i | 0.266336 | − | 0.0969383i | −0.205400 | − | 0.978678i | \(-0.565850\pi\) |
0.471736 | + | 0.881740i | \(0.343627\pi\) | |||||||
\(840\) | 5.82818e9 | − | 1.00947e10i | 0.339278 | − | 0.587646i | ||||
\(841\) | −3.34036e8 | − | 5.78568e8i | −0.0193646 | − | 0.0335404i | ||||
\(842\) | −2.16780e8 | − | 1.81900e8i | −0.0125149 | − | 0.0105012i | ||||
\(843\) | −2.32503e9 | + | 4.02708e9i | −0.133670 | + | 0.231523i | ||||
\(844\) | 1.16626e9 | + | 6.61418e9i | 0.0667723 | + | 0.378685i | ||||
\(845\) | 1.11582e9 | 0.0636205 | ||||||||
\(846\) | 1.55726e9 | + | 8.83166e9i | 0.0884229 | + | 0.501471i | ||||
\(847\) | −1.66063e10 | + | 1.39343e10i | −0.939031 | + | 0.787940i | ||||
\(848\) | 3.12368e10 | + | 1.13693e10i | 1.75906 | + | 0.640246i | ||||
\(849\) | 2.50401e10 | − | 9.11385e9i | 1.40430 | − | 0.511122i | ||||
\(850\) | 5.21410e8 | 0.0291215 | ||||||||
\(851\) | 7.90317e9 | − | 1.72401e10i | 0.439590 | − | 0.958928i | ||||
\(852\) | −2.26896e10 | −1.25687 | ||||||||
\(853\) | −1.76133e10 | + | 6.41073e9i | −0.971673 | + | 0.353660i | −0.778597 | − | 0.627524i | \(-0.784068\pi\) |
−0.193075 | + | 0.981184i | \(0.561846\pi\) | |||||||
\(854\) | −1.78452e10 | − | 6.49511e9i | −0.980434 | − | 0.356849i | ||||
\(855\) | −3.49299e10 | + | 2.93097e10i | −1.91124 | + | 1.60372i | ||||
\(856\) | 1.11441e9 | + | 6.32016e9i | 0.0607280 | + | 0.344405i | ||||
\(857\) | 5.63817e9 | 0.305988 | 0.152994 | − | 0.988227i | \(-0.451108\pi\) | ||||
0.152994 | + | 0.988227i | \(0.451108\pi\) | |||||||
\(858\) | −1.72544e9 | − | 9.78547e9i | −0.0932599 | − | 0.528903i | ||||
\(859\) | −1.35850e10 | + | 2.35299e10i | −0.731281 | + | 1.26662i | 0.225055 | + | 0.974346i | \(0.427744\pi\) |
−0.956336 | + | 0.292270i | \(0.905589\pi\) | |||||||
\(860\) | 1.13272e10 | + | 9.50469e9i | 0.607267 | + | 0.509558i | ||||
\(861\) | 3.33964e10 | + | 5.78443e10i | 1.78315 | + | 3.08851i | ||||
\(862\) | −1.09235e10 | + | 1.89201e10i | −0.580881 | + | 1.00612i | ||||
\(863\) | −8.49356e9 | + | 3.09140e9i | −0.449834 | + | 0.163726i | −0.556995 | − | 0.830516i | \(-0.688046\pi\) |
0.107162 | + | 0.994242i | \(0.465824\pi\) | |||||||
\(864\) | 4.65285e10 | − | 3.90420e10i | 2.45426 | − | 2.05937i | ||||
\(865\) | 5.85524e9 | + | 1.01416e10i | 0.307601 | + | 0.532781i | ||||
\(866\) | −4.68261e9 | + | 2.65564e10i | −0.245005 | + | 1.38949i | ||||
\(867\) | 9.11453e9 | − | 5.16910e10i | 0.474971 | − | 2.69370i | ||||
\(868\) | 9.38387e8 | + | 7.87400e8i | 0.0487038 | + | 0.0408674i | ||||
\(869\) | 6.09918e8 | + | 2.21992e8i | 0.0315284 | + | 0.0114754i | ||||
\(870\) | −4.59520e10 | − | 1.67252e10i | −2.36585 | − | 0.861099i | ||||
\(871\) | 1.41851e10 | + | 1.19027e10i | 0.727394 | + | 0.610356i | ||||
\(872\) | 7.33919e8 | − | 4.16226e9i | 0.0374835 | − | 0.212580i | ||||
\(873\) | 3.03960e9 | − | 1.72384e10i | 0.154620 | − | 0.876895i | ||||
\(874\) | −1.45659e10 | − | 2.52288e10i | −0.737982 | − | 1.27822i | ||||
\(875\) | 1.94738e10 | − | 1.63405e10i | 0.982704 | − | 0.824587i | ||||
\(876\) | 1.88527e10 | − | 6.86183e9i | 0.947567 | − | 0.344886i | ||||
\(877\) | 7.69356e9 | − | 1.33256e10i | 0.385149 | − | 0.667098i | −0.606641 | − | 0.794976i | \(-0.707483\pi\) |
0.991790 | + | 0.127878i | \(0.0408167\pi\) | |||||||
\(878\) | −1.58314e9 | − | 2.74208e9i | −0.0789385 | − | 0.136726i | ||||
\(879\) | −4.39576e10 | − | 3.68848e10i | −2.18310 | − | 1.83184i | ||||
\(880\) | 2.68711e9 | − | 4.65420e9i | 0.132922 | − | 0.230227i | ||||
\(881\) | 3.30201e9 | + | 1.87266e10i | 0.162691 | + | 0.922664i | 0.951414 | + | 0.307916i | \(0.0996315\pi\) |
−0.788723 | + | 0.614749i | \(0.789257\pi\) | |||||||
\(882\) | −4.31518e10 | −2.11767 | ||||||||
\(883\) | −4.57025e9 | − | 2.59192e10i | −0.223397 | − | 1.26695i | −0.865726 | − | 0.500518i | \(-0.833143\pi\) |
0.642329 | − | 0.766429i | \(-0.277968\pi\) | |||||||
\(884\) | 1.89230e10 | − | 1.58783e10i | 0.921314 | − | 0.773074i | ||||
\(885\) | −1.03926e10 | − | 3.78261e9i | −0.503992 | − | 0.183438i | ||||
\(886\) | −2.72191e10 | + | 9.90694e9i | −1.31479 | + | 0.478544i | ||||
\(887\) | 3.60935e10 | 1.73659 | 0.868294 | − | 0.496050i | \(-0.165217\pi\) | ||||
0.868294 | + | 0.496050i | \(0.165217\pi\) | |||||||
\(888\) | −1.05321e10 | − | 2.74883e9i | −0.504743 | − | 0.131735i | ||||
\(889\) | 2.66921e10 | 1.27417 | ||||||||
\(890\) | −3.48776e10 | + | 1.26944e10i | −1.65837 | + | 0.603598i | ||||
\(891\) | 1.00435e10 | + | 3.65554e9i | 0.475679 | + | 0.173133i | ||||
\(892\) | −8.89621e9 | + | 7.46481e9i | −0.419690 | + | 0.352161i | ||||
\(893\) | −6.22123e8 | − | 3.52823e9i | −0.0292345 | − | 0.165797i | ||||
\(894\) | −9.61850e9 | −0.450221 | ||||||||
\(895\) | 2.01586e9 | + | 1.14325e10i | 0.0939896 | + | 0.533041i | ||||
\(896\) | 7.72844e9 | − | 1.33861e10i | 0.358933 | − | 0.621691i | ||||
\(897\) | 3.10259e10 | + | 2.60338e10i | 1.43533 | + | 1.20438i | ||||
\(898\) | −1.48552e10 | − | 2.57300e10i | −0.684561 | − | 1.18569i | ||||
\(899\) | −6.93868e8 | + | 1.20182e9i | −0.0318506 | + | 0.0551669i | ||||
\(900\) | −5.28814e8 | + | 1.92473e8i | −0.0241799 | + | 0.00880077i | ||||
\(901\) | −4.25603e10 | + | 3.57123e10i | −1.93851 | + | 1.62660i | ||||
\(902\) | 5.01246e9 | + | 8.68183e9i | 0.227419 | + | 0.393902i | ||||
\(903\) | −9.10828e9 | + | 5.16556e10i | −0.411651 | + | 2.33459i | ||||
\(904\) | 1.45625e9 | − | 8.25881e9i | 0.0655612 | − | 0.371816i | ||||
\(905\) | −2.06488e10 | − | 1.73264e10i | −0.926029 | − | 0.777031i | ||||
\(906\) | 2.51264e10 | + | 9.14526e9i | 1.12249 | + | 0.408552i | ||||
\(907\) | −4.21990e9 | − | 1.53592e9i | −0.187792 | − | 0.0683507i | 0.246412 | − | 0.969165i | \(-0.420748\pi\) |
−0.434204 | + | 0.900814i | \(0.642970\pi\) | |||||||
\(908\) | 2.22769e10 | + | 1.86926e10i | 0.987541 | + | 0.828645i | ||||
\(909\) | −4.42620e9 | + | 2.51022e10i | −0.195460 | + | 1.10851i | ||||
\(910\) | −6.64439e9 | + | 3.76822e10i | −0.292288 | + | 1.65765i | ||||
\(911\) | 1.15658e10 | + | 2.00325e10i | 0.506828 | + | 0.877851i | 0.999969 | + | 0.00790200i | \(0.00251531\pi\) |
−0.493141 | + | 0.869949i | \(0.664151\pi\) | |||||||
\(912\) | −3.93449e10 | + | 3.30143e10i | −1.71754 | + | 1.44119i | ||||
\(913\) | 9.28821e9 | − | 3.38063e9i | 0.403910 | − | 0.147011i | ||||
\(914\) | 1.58884e10 | − | 2.75195e10i | 0.688284 | − | 1.19214i | ||||
\(915\) | −1.29325e10 | − | 2.23997e10i | −0.558095 | − | 0.966649i | ||||
\(916\) | −9.65847e9 | − | 8.10442e9i | −0.415216 | − | 0.348408i | ||||
\(917\) | −1.35303e10 | + | 2.34352e10i | −0.579450 | + | 1.00364i | ||||
\(918\) | 2.15537e10 | + | 1.22237e11i | 0.919542 | + | 5.21498i | ||||
\(919\) | −8.91772e9 | −0.379009 | −0.189504 | − | 0.981880i | \(-0.560688\pi\) | ||||
−0.189504 | + | 0.981880i | \(0.560688\pi\) | |||||||
\(920\) | 1.23830e9 | + | 7.02272e9i | 0.0524284 | + | 0.297336i | ||||
\(921\) | 3.22774e10 | − | 2.70840e10i | 1.36141 | − | 1.14236i | ||||
\(922\) | 1.28416e10 | + | 4.67396e9i | 0.539586 | + | 0.196393i | ||||
\(923\) | −1.88999e10 | + | 6.87899e9i | −0.791139 | + | 0.287951i | ||||
\(924\) | −1.01240e10 | −0.422184 | ||||||||
\(925\) | 2.73392e8 | + | 1.88795e8i | 0.0113577 | + | 0.00784321i | ||||
\(926\) | −1.62118e10 | −0.670956 | ||||||||
\(927\) | −1.55265e10 | + | 5.65118e9i | −0.640168 | + | 0.233002i | ||||
\(928\) | −2.97627e10 | − | 1.08327e10i | −1.22251 | − | 0.444959i | ||||
\(929\) | −1.21563e10 | + | 1.02003e10i | −0.497445 | + | 0.417406i | −0.856685 | − | 0.515839i | \(-0.827480\pi\) |
0.359241 | + | 0.933245i | \(0.383036\pi\) | |||||||
\(930\) | 6.57670e8 | + | 3.72983e9i | 0.0268113 | + | 0.152054i | ||||
\(931\) | 1.72391e10 | 0.700148 | ||||||||
\(932\) | 1.86901e9 | + | 1.05997e10i | 0.0756234 | + | 0.428882i | ||||
\(933\) | 2.47911e10 | − | 4.29395e10i | 0.999334 | − | 1.73090i | ||||
\(934\) | 2.17046e10 | + | 1.82124e10i | 0.871643 | + | 0.731395i | ||||
\(935\) | 4.49112e9 | + | 7.77885e9i | 0.179686 | + | 0.311225i | ||||
\(936\) | 8.17147e9 | − | 1.41534e10i | 0.325713 | − | 0.564151i | ||||
\(937\) | 2.08304e10 | − | 7.58165e9i | 0.827198 | − | 0.301075i | 0.106490 | − | 0.994314i | \(-0.466039\pi\) |
0.720708 | + | 0.693238i | \(0.243817\pi\) | |||||||
\(938\) | 3.28087e10 | − | 2.75298e10i | 1.29801 | − | 1.08916i | ||||
\(939\) | 2.44134e10 | + | 4.22853e10i | 0.962276 | + | 1.66671i | ||||
\(940\) | 5.63951e8 | − | 3.19833e9i | 0.0221459 | − | 0.125596i | ||||
\(941\) | 3.92159e8 | − | 2.22404e9i | 0.0153426 | − | 0.0870120i | −0.976175 | − | 0.216985i | \(-0.930378\pi\) |
0.991518 | + | 0.129973i | \(0.0414889\pi\) | |||||||
\(942\) | 3.36967e10 | + | 2.82749e10i | 1.31344 | + | 1.10210i | ||||
\(943\) | −3.83979e10 | − | 1.39757e10i | −1.49113 | − | 0.542728i | ||||
\(944\) | −8.23016e9 | − | 2.99553e9i | −0.318424 | − | 0.115897i | ||||
\(945\) | −6.48814e10 | − | 5.44420e10i | −2.50097 | − | 2.09857i | ||||
\(946\) | −1.36706e9 | + | 7.75297e9i | −0.0525010 | + | 0.297748i | ||||
\(947\) | −5.84684e8 | + | 3.31591e9i | −0.0223715 | + | 0.126875i | −0.993948 | − | 0.109850i | \(-0.964963\pi\) |
0.971577 | + | 0.236725i | \(0.0760741\pi\) | |||||||
\(948\) | −2.81152e9 | − | 4.86969e9i | −0.107179 | − | 0.185640i | ||||
\(949\) | 1.36235e10 | − | 1.14314e10i | 0.517435 | − | 0.434179i | ||||
\(950\) | 4.79569e8 | − | 1.74549e8i | 0.0181476 | − | 0.00660518i | ||||
\(951\) | −7.49612e9 | + | 1.29837e10i | −0.282621 | + | 0.489514i | ||||
\(952\) | 7.71411e9 | + | 1.33612e10i | 0.289772 | + | 0.501900i | ||||
\(953\) | 2.65208e10 | + | 2.22536e10i | 0.992569 | + | 0.832864i | 0.985938 | − | 0.167114i | \(-0.0534446\pi\) |
0.00663158 | + | 0.999978i | \(0.497889\pi\) | |||||||
\(954\) | 6.80599e10 | − | 1.17883e11i | 2.53788 | − | 4.39574i | ||||
\(955\) | −7.45786e9 | − | 4.22956e10i | −0.277078 | − | 1.57139i | ||||
\(956\) | −1.13075e9 | −0.0418565 | ||||||||
\(957\) | −1.99160e9 | − | 1.12949e10i | −0.0734532 | − | 0.416574i | ||||
\(958\) | −4.79853e10 | + | 4.02644e10i | −1.76331 | + | 1.47959i | ||||
\(959\) | −4.88045e10 | − | 1.77634e10i | −1.78688 | − | 0.650370i | ||||
\(960\) | −2.56624e10 | + | 9.34033e9i | −0.936154 | + | 0.340732i | ||||
\(961\) | −2.74051e10 | −0.996093 | ||||||||
\(962\) | 3.55743e10 | − | 3.34547e9i | 1.28832 | − | 0.121156i | ||||
\(963\) | 8.07270e10 | 2.91291 | ||||||||
\(964\) | 3.13480e10 | − | 1.14097e10i | 1.12704 | − | 0.410210i | ||||
\(965\) | 1.45515e10 | + | 5.29631e9i | 0.521270 | + | 0.189727i | ||||
\(966\) | 7.17598e10 | − | 6.02136e10i | 2.56130 | − | 2.14919i | ||||
\(967\) | 4.57080e8 | + | 2.59223e9i | 0.0162555 | + | 0.0921894i | 0.991856 | − | 0.127363i | \(-0.0406514\pi\) |
−0.975601 | + | 0.219553i | \(0.929540\pi\) | |||||||
\(968\) | −7.61160e9 | −0.269719 | ||||||||
\(969\) | −1.49065e10 | − | 8.45388e10i | −0.526310 | − | 2.98485i | ||||
\(970\) | −7.19498e9 | + | 1.24621e10i | −0.253121 | + | 0.438419i | ||||
\(971\) | −1.36816e10 | − | 1.14802e10i | −0.479590 | − | 0.402424i | 0.370688 | − | 0.928757i | \(-0.379122\pi\) |
−0.850278 | + | 0.526334i | \(0.823566\pi\) | |||||||
\(972\) | −1.80071e10 | − | 3.11892e10i | −0.628944 | − | 1.08936i | ||||
\(973\) | −1.23466e9 | + | 2.13850e9i | −0.0429688 | + | 0.0744241i | ||||
\(974\) | −6.71455e9 | + | 2.44390e9i | −0.232841 | + | 0.0847474i | ||||
\(975\) | −5.43531e8 | + | 4.56077e8i | −0.0187805 | + | 0.0157587i | ||||
\(976\) | −1.02415e10 | − | 1.77389e10i | −0.352607 | − | 0.610733i | ||||
\(977\) | 2.64592e9 | − | 1.50058e10i | 0.0907708 | − | 0.514787i | −0.905191 | − | 0.425006i | \(-0.860272\pi\) |
0.995962 | − | 0.0897813i | \(-0.0286168\pi\) | |||||||
\(978\) | −1.48936e10 | + | 8.44656e10i | −0.509111 | + | 2.88731i | ||||
\(979\) | −6.66850e9 | − | 5.59554e9i | −0.227138 | − | 0.190591i | ||||
\(980\) | 1.46847e10 | + | 5.34479e9i | 0.498395 | + | 0.181401i | ||||
\(981\) | −4.99581e10 | − | 1.81833e10i | −1.68952 | − | 0.614936i | ||||
\(982\) | 3.99914e9 | + | 3.35568e9i | 0.134765 | + | 0.113081i | ||||
\(983\) | 2.66427e9 | − | 1.51098e10i | 0.0894624 | − | 0.507367i | −0.906842 | − | 0.421471i | \(-0.861514\pi\) |
0.996304 | − | 0.0858953i | \(-0.0273751\pi\) | |||||||
\(984\) | −4.07248e9 | + | 2.30962e10i | −0.136262 | + | 0.772782i | ||||
\(985\) | 1.72225e10 | + | 2.98303e10i | 0.574209 | + | 0.994559i | ||||
\(986\) | 4.95822e10 | − | 4.16044e10i | 1.64724 | − | 1.38220i | ||||
\(987\) | 1.08256e10 | − | 3.94020e9i | 0.358379 | − | 0.130439i | ||||
\(988\) | 1.20891e10 | − | 2.09389e10i | 0.398789 | − | 0.690723i | ||||
\(989\) | −1.60445e10 | − | 2.77900e10i | −0.527400 | − | 0.913484i | ||||
\(990\) | −1.68581e10 | − | 1.41456e10i | −0.552187 | − | 0.463340i | ||||
\(991\) | −1.25395e10 | + | 2.17191e10i | −0.409283 | + | 0.708898i | −0.994810 | − | 0.101755i | \(-0.967554\pi\) |
0.585527 | + | 0.810653i | \(0.300888\pi\) | |||||||
\(992\) | 4.25966e8 | + | 2.41577e9i | 0.0138543 | + | 0.0785716i | ||||
\(993\) | 6.29052e10 | 2.03875 | ||||||||
\(994\) | 8.07792e9 | + | 4.58121e10i | 0.260884 | + | 1.47955i | ||||
\(995\) | 3.53272e10 | − | 2.96430e10i | 1.13692 | − | 0.953985i | ||||
\(996\) | −8.04669e10 | − | 2.92875e10i | −2.58053 | − | 0.939237i | ||||
\(997\) | −3.68472e10 | + | 1.34113e10i | −1.17753 | + | 0.428585i | −0.855328 | − | 0.518087i | \(-0.826644\pi\) |
−0.322199 | + | 0.946672i | \(0.604422\pi\) | |||||||
\(998\) | −5.55554e10 | −1.76917 | ||||||||
\(999\) | −3.29588e10 | + | 7.18969e10i | −1.04591 | + | 2.28155i |
(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 | 37.8.f.a.7.18 | ✓ | 132 | |
37.16 | even | 9 | inner | 37.8.f.a.16.18 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.8.f.a.7.18 | ✓ | 132 | 1.1 | even | 1 | trivial | |
37.8.f.a.16.18 | yes | 132 | 37.16 | even | 9 | inner |