Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,12,Mod(9,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.7568045278\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 101803 x^{6} + 6576400 x^{5} + 8539617914 x^{4} + 333205096780 x^{3} + \cdots + 33\!\cdots\!81 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{12}\cdot 3\cdot 7^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(64.1153 + 111.051i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.11 |
Dual form | 14.12.c.a.9.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −16.0000 | − | 27.7128i | −0.353553 | − | 0.612372i | ||||
\(3\) | −94.7305 | + | 164.078i | −0.225073 | + | 0.389838i | −0.956341 | − | 0.292252i | \(-0.905595\pi\) |
0.731268 | + | 0.682090i | \(0.238929\pi\) | |||||||
\(4\) | −512.000 | + | 886.810i | −0.250000 | + | 0.433013i | ||||
\(5\) | −3211.13 | − | 5561.84i | −0.459540 | − | 0.795946i | 0.539397 | − | 0.842052i | \(-0.318652\pi\) |
−0.998937 | + | 0.0461054i | \(0.985319\pi\) | |||||||
\(6\) | 6062.75 | 0.318301 | ||||||||
\(7\) | −9575.58 | + | 43423.9i | −0.215341 | + | 0.976539i | ||||
\(8\) | 32768.0 | 0.353553 | ||||||||
\(9\) | 70625.8 | + | 122327.i | 0.398684 | + | 0.690542i | ||||
\(10\) | −102756. | + | 177979.i | −0.324944 | + | 0.562819i | ||||
\(11\) | 459958. | − | 796671.i | 0.861110 | − | 1.49149i | −0.00974918 | − | 0.999952i | \(-0.503103\pi\) |
0.870859 | − | 0.491533i | \(-0.163563\pi\) | |||||||
\(12\) | −97004.1 | − | 168016.i | −0.112536 | − | 0.194919i | ||||
\(13\) | 1.22771e6 | 0.917081 | 0.458541 | − | 0.888673i | \(-0.348372\pi\) | ||||
0.458541 | + | 0.888673i | \(0.348372\pi\) | |||||||
\(14\) | 1.35661e6 | − | 429416.i | 0.674140 | − | 0.213390i | ||||
\(15\) | 1.21677e6 | 0.413720 | ||||||||
\(16\) | −524288. | − | 908093.i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.31206e6 | − | 5.73665e6i | 0.565755 | − | 0.979917i | −0.431224 | − | 0.902245i | \(-0.641918\pi\) |
0.996979 | − | 0.0776717i | \(-0.0247486\pi\) | |||||||
\(18\) | 2.26002e6 | − | 3.91448e6i | 0.281912 | − | 0.488287i | ||||
\(19\) | 9.33141e6 | + | 1.61625e7i | 0.864574 | + | 1.49749i | 0.867469 | + | 0.497491i | \(0.165745\pi\) |
−0.00289490 | + | 0.999996i | \(0.500921\pi\) | |||||||
\(20\) | 6.57640e6 | 0.459540 | ||||||||
\(21\) | −6.21781e6 | − | 5.68471e6i | −0.332224 | − | 0.303740i | ||||
\(22\) | −2.94373e7 | −1.21779 | ||||||||
\(23\) | 1.43390e7 | + | 2.48358e7i | 0.464531 | + | 0.804592i | 0.999180 | − | 0.0404825i | \(-0.0128895\pi\) |
−0.534649 | + | 0.845074i | \(0.679556\pi\) | |||||||
\(24\) | −3.10413e6 | + | 5.37651e6i | −0.0795753 | + | 0.137828i | ||||
\(25\) | 3.79132e6 | − | 6.56676e6i | 0.0776462 | − | 0.134487i | ||||
\(26\) | −1.96434e7 | − | 3.40233e7i | −0.324237 | − | 0.561595i | ||||
\(27\) | −6.03241e7 | −0.809078 | ||||||||
\(28\) | −3.36060e7 | − | 3.07248e7i | −0.369019 | − | 0.337380i | ||||
\(29\) | −7.73286e6 | −0.0700086 | −0.0350043 | − | 0.999387i | \(-0.511144\pi\) | ||||
−0.0350043 | + | 0.999387i | \(0.511144\pi\) | |||||||
\(30\) | −1.94683e7 | − | 3.37201e7i | −0.146272 | − | 0.253351i | ||||
\(31\) | −5.68702e7 | + | 9.85021e7i | −0.356776 | + | 0.617954i | −0.987420 | − | 0.158118i | \(-0.949457\pi\) |
0.630644 | + | 0.776072i | \(0.282791\pi\) | |||||||
\(32\) | −1.67772e7 | + | 2.90590e7i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 8.71441e7 | + | 1.50938e8i | 0.387625 | + | 0.671386i | ||||
\(34\) | −2.11972e8 | −0.800099 | ||||||||
\(35\) | 2.72265e8 | − | 8.61820e7i | 0.876230 | − | 0.277359i | ||||
\(36\) | −1.44642e8 | −0.398684 | ||||||||
\(37\) | 9.50304e7 | + | 1.64597e8i | 0.225296 | + | 0.390224i | 0.956408 | − | 0.292033i | \(-0.0943318\pi\) |
−0.731112 | + | 0.682257i | \(0.760999\pi\) | |||||||
\(38\) | 2.98605e8 | − | 5.17199e8i | 0.611346 | − | 1.05888i | ||||
\(39\) | −1.16302e8 | + | 2.01441e8i | −0.206410 | + | 0.357513i | ||||
\(40\) | −1.05222e8 | − | 1.82251e8i | −0.162472 | − | 0.281410i | ||||
\(41\) | −1.74512e8 | −0.235241 | −0.117621 | − | 0.993059i | \(-0.537527\pi\) | ||||
−0.117621 | + | 0.993059i | \(0.537527\pi\) | |||||||
\(42\) | −5.80544e7 | + | 2.63268e8i | −0.0685432 | + | 0.310833i | ||||
\(43\) | 1.83161e9 | 1.90001 | 0.950005 | − | 0.312235i | \(-0.101078\pi\) | ||||
0.950005 | + | 0.312235i | \(0.101078\pi\) | |||||||
\(44\) | 4.70997e8 | + | 8.15791e8i | 0.430555 | + | 0.745743i | ||||
\(45\) | 4.53577e8 | − | 7.85619e8i | 0.366423 | − | 0.634663i | ||||
\(46\) | 4.58847e8 | − | 7.94747e8i | 0.328473 | − | 0.568932i | ||||
\(47\) | −5.75867e8 | − | 9.97431e8i | −0.366255 | − | 0.634373i | 0.622721 | − | 0.782444i | \(-0.286027\pi\) |
−0.988977 | + | 0.148071i | \(0.952694\pi\) | |||||||
\(48\) | 1.98664e8 | 0.112536 | ||||||||
\(49\) | −1.79394e9 | − | 8.31618e8i | −0.907257 | − | 0.420577i | ||||
\(50\) | −2.42644e8 | −0.109808 | ||||||||
\(51\) | 6.27506e8 | + | 1.08687e9i | 0.254672 | + | 0.441105i | ||||
\(52\) | −6.28588e8 | + | 1.08875e9i | −0.229270 | + | 0.397108i | ||||
\(53\) | −3.18521e8 | + | 5.51694e8i | −0.104621 | + | 0.181209i | −0.913583 | − | 0.406651i | \(-0.866696\pi\) |
0.808962 | + | 0.587861i | \(0.200030\pi\) | |||||||
\(54\) | 9.65186e8 | + | 1.67175e9i | 0.286052 | + | 0.495457i | ||||
\(55\) | −5.90795e9 | −1.58286 | ||||||||
\(56\) | −3.13773e8 | + | 1.42291e9i | −0.0761344 | + | 0.345259i | ||||
\(57\) | −3.53588e9 | −0.778369 | ||||||||
\(58\) | 1.23726e8 | + | 2.14299e8i | 0.0247518 | + | 0.0428713i | ||||
\(59\) | 1.39516e9 | − | 2.41649e9i | 0.254061 | − | 0.440047i | −0.710579 | − | 0.703618i | \(-0.751567\pi\) |
0.964640 | + | 0.263571i | \(0.0849002\pi\) | |||||||
\(60\) | −6.22986e8 | + | 1.07904e9i | −0.103430 | + | 0.179146i | ||||
\(61\) | 2.60037e9 | + | 4.50397e9i | 0.394204 | + | 0.682781i | 0.992999 | − | 0.118121i | \(-0.0376870\pi\) |
−0.598795 | + | 0.800902i | \(0.704354\pi\) | |||||||
\(62\) | 3.63969e9 | 0.504557 | ||||||||
\(63\) | −5.98821e9 | + | 1.89549e9i | −0.760194 | + | 0.240629i | ||||
\(64\) | 1.07374e9 | 0.125000 | ||||||||
\(65\) | −3.94234e9 | − | 6.82834e9i | −0.421435 | − | 0.729948i | ||||
\(66\) | 2.78861e9 | − | 4.83002e9i | 0.274092 | − | 0.474741i | ||||
\(67\) | 3.19152e9 | − | 5.52788e9i | 0.288793 | − | 0.500204i | −0.684729 | − | 0.728798i | \(-0.740080\pi\) |
0.973522 | + | 0.228594i | \(0.0734128\pi\) | |||||||
\(68\) | 3.39154e9 | + | 5.87433e9i | 0.282878 | + | 0.489958i | ||||
\(69\) | −5.43335e9 | −0.418214 | ||||||||
\(70\) | −6.74459e9 | − | 6.16633e9i | −0.479641 | − | 0.438518i | ||||
\(71\) | 2.41383e10 | 1.58776 | 0.793880 | − | 0.608074i | \(-0.208058\pi\) | ||||
0.793880 | + | 0.608074i | \(0.208058\pi\) | |||||||
\(72\) | 2.31426e9 | + | 4.00842e9i | 0.140956 | + | 0.244143i | ||||
\(73\) | 8.18348e9 | − | 1.41742e10i | 0.462021 | − | 0.800245i | −0.537040 | − | 0.843557i | \(-0.680458\pi\) |
0.999062 | + | 0.0433121i | \(0.0137910\pi\) | |||||||
\(74\) | 3.04097e9 | − | 5.26712e9i | 0.159308 | − | 0.275930i | ||||
\(75\) | 7.18307e8 | + | 1.24414e9i | 0.0349521 | + | 0.0605388i | ||||
\(76\) | −1.91107e10 | −0.864574 | ||||||||
\(77\) | 3.01902e10 | + | 2.76018e10i | 1.27106 | + | 1.16208i | ||||
\(78\) | 7.44331e9 | 0.291908 | ||||||||
\(79\) | 1.91435e9 | + | 3.31575e9i | 0.0699958 | + | 0.121236i | 0.898899 | − | 0.438155i | \(-0.144368\pi\) |
−0.828903 | + | 0.559392i | \(0.811035\pi\) | |||||||
\(80\) | −3.36712e9 | + | 5.83202e9i | −0.114885 | + | 0.198987i | ||||
\(81\) | −6.79660e9 | + | 1.17721e10i | −0.216583 | + | 0.375133i | ||||
\(82\) | 2.79219e9 | + | 4.83621e9i | 0.0831704 | + | 0.144055i | ||||
\(83\) | −2.84759e9 | −0.0793502 | −0.0396751 | − | 0.999213i | \(-0.512632\pi\) | ||||
−0.0396751 | + | 0.999213i | \(0.512632\pi\) | |||||||
\(84\) | 8.22478e9 | − | 2.60344e9i | 0.214579 | − | 0.0679223i | ||||
\(85\) | −4.25418e10 | −1.03995 | ||||||||
\(86\) | −2.93057e10 | − | 5.07590e10i | −0.671755 | − | 1.16351i | ||||
\(87\) | 7.32538e8 | − | 1.26879e9i | 0.0157570 | − | 0.0272920i | ||||
\(88\) | 1.50719e10 | − | 2.61053e10i | 0.304448 | − | 0.527320i | ||||
\(89\) | 1.35210e10 | + | 2.34190e10i | 0.256663 | + | 0.444553i | 0.965346 | − | 0.260974i | \(-0.0840438\pi\) |
−0.708683 | + | 0.705527i | \(0.750710\pi\) | |||||||
\(90\) | −2.90289e10 | −0.518200 | ||||||||
\(91\) | −1.17561e10 | + | 5.33120e10i | −0.197485 | + | 0.895566i | ||||
\(92\) | −2.93662e10 | −0.464531 | ||||||||
\(93\) | −1.07747e10 | − | 1.86623e10i | −0.160601 | − | 0.278169i | ||||
\(94\) | −1.84277e10 | + | 3.19178e10i | −0.258982 | + | 0.448569i | ||||
\(95\) | 5.99288e10 | − | 1.03800e11i | 0.794613 | − | 1.37631i | ||||
\(96\) | −3.17863e9 | − | 5.50555e9i | −0.0397876 | − | 0.0689142i | ||||
\(97\) | −1.49558e11 | −1.76834 | −0.884168 | − | 0.467169i | \(-0.845274\pi\) | ||||
−0.884168 | + | 0.467169i | \(0.845274\pi\) | |||||||
\(98\) | 5.65661e9 | + | 6.30211e10i | 0.0632139 | + | 0.704276i | ||||
\(99\) | 1.29940e11 | 1.37324 | ||||||||
\(100\) | 3.88231e9 | + | 6.72436e9i | 0.0388231 | + | 0.0672436i | ||||
\(101\) | −7.71661e10 | + | 1.33656e11i | −0.730565 | + | 1.26538i | 0.226076 | + | 0.974110i | \(0.427410\pi\) |
−0.956642 | + | 0.291267i | \(0.905923\pi\) | |||||||
\(102\) | 2.00802e10 | − | 3.47799e10i | 0.180080 | − | 0.311909i | ||||
\(103\) | 7.20031e9 | + | 1.24713e10i | 0.0611993 | + | 0.106000i | 0.895002 | − | 0.446063i | \(-0.147174\pi\) |
−0.833802 | + | 0.552063i | \(0.813841\pi\) | |||||||
\(104\) | 4.02296e10 | 0.324237 | ||||||||
\(105\) | −1.16513e10 | + | 5.28369e10i | −0.0890907 | + | 0.404014i | ||||
\(106\) | 2.03853e10 | 0.147957 | ||||||||
\(107\) | −3.89441e10 | − | 6.74532e10i | −0.268430 | − | 0.464934i | 0.700027 | − | 0.714117i | \(-0.253171\pi\) |
−0.968457 | + | 0.249182i | \(0.919838\pi\) | |||||||
\(108\) | 3.08860e10 | − | 5.34960e10i | 0.202269 | − | 0.350341i | ||||
\(109\) | 1.49760e11 | − | 2.59392e11i | 0.932289 | − | 1.61477i | 0.152890 | − | 0.988243i | \(-0.451142\pi\) |
0.779399 | − | 0.626528i | \(-0.215525\pi\) | |||||||
\(110\) | 9.45271e10 | + | 1.63726e11i | 0.559624 | + | 0.969298i | ||||
\(111\) | −3.60091e10 | −0.202832 | ||||||||
\(112\) | 4.44533e10 | − | 1.40711e10i | 0.238344 | − | 0.0754448i | ||||
\(113\) | −5.92157e10 | −0.302347 | −0.151173 | − | 0.988507i | \(-0.548305\pi\) | ||||
−0.151173 | + | 0.988507i | \(0.548305\pi\) | |||||||
\(114\) | 5.65740e10 | + | 9.79891e10i | 0.275195 | + | 0.476652i | ||||
\(115\) | 9.20887e10 | − | 1.59502e11i | 0.426941 | − | 0.739484i | ||||
\(116\) | 3.95923e9 | − | 6.85758e9i | 0.0175021 | − | 0.0303146i | ||||
\(117\) | 8.67080e10 | + | 1.50183e11i | 0.365626 | + | 0.633283i | ||||
\(118\) | −8.92903e10 | −0.359297 | ||||||||
\(119\) | 2.17393e11 | + | 1.98754e11i | 0.835097 | + | 0.763498i | ||||
\(120\) | 3.98711e10 | 0.146272 | ||||||||
\(121\) | −2.80467e11 | − | 4.85783e11i | −0.983020 | − | 1.70264i | ||||
\(122\) | 8.32118e10 | − | 1.44127e11i | 0.278744 | − | 0.482799i | ||||
\(123\) | 1.65316e10 | − | 2.86336e10i | 0.0529464 | − | 0.0917059i | ||||
\(124\) | −5.82351e10 | − | 1.00866e11i | −0.178388 | − | 0.308977i | ||||
\(125\) | −3.62285e11 | −1.06181 | ||||||||
\(126\) | 1.48341e11 | + | 1.35622e11i | 0.416124 | + | 0.380446i | ||||
\(127\) | 3.06013e11 | 0.821902 | 0.410951 | − | 0.911658i | \(-0.365197\pi\) | ||||
0.410951 | + | 0.911658i | \(0.365197\pi\) | |||||||
\(128\) | −1.71799e10 | − | 2.97564e10i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −1.73509e11 | + | 3.00527e11i | −0.427641 | + | 0.740695i | ||||
\(130\) | −1.26155e11 | + | 2.18507e11i | −0.298000 | + | 0.516151i | ||||
\(131\) | 8.52498e10 | + | 1.47657e11i | 0.193064 | + | 0.334396i | 0.946264 | − | 0.323395i | \(-0.104824\pi\) |
−0.753200 | + | 0.657791i | \(0.771491\pi\) | |||||||
\(132\) | −1.78471e11 | −0.387625 | ||||||||
\(133\) | −7.91191e11 | + | 2.50441e11i | −1.64853 | + | 0.521821i | ||||
\(134\) | −2.04257e11 | −0.408415 | ||||||||
\(135\) | 1.93709e11 | + | 3.35513e11i | 0.371804 | + | 0.643983i | ||||
\(136\) | 1.08529e11 | − | 1.87978e11i | 0.200025 | − | 0.346453i | ||||
\(137\) | −7.02977e10 | + | 1.21759e11i | −0.124445 | + | 0.215545i | −0.921516 | − | 0.388341i | \(-0.873048\pi\) |
0.797071 | + | 0.603886i | \(0.206382\pi\) | |||||||
\(138\) | 8.69337e10 | + | 1.50574e11i | 0.147861 | + | 0.256102i | ||||
\(139\) | −5.46303e11 | −0.893001 | −0.446500 | − | 0.894783i | \(-0.647330\pi\) | ||||
−0.446500 | + | 0.894783i | \(0.647330\pi\) | |||||||
\(140\) | −6.29729e10 | + | 2.85573e11i | −0.0989576 | + | 0.448759i | ||||
\(141\) | 2.18209e11 | 0.329737 | ||||||||
\(142\) | −3.86212e11 | − | 6.68939e11i | −0.561358 | − | 0.972301i | ||||
\(143\) | 5.64696e11 | − | 9.78082e11i | 0.789708 | − | 1.36781i | ||||
\(144\) | 7.40565e10 | − | 1.28270e11i | 0.0996711 | − | 0.172635i | ||||
\(145\) | 2.48312e10 | + | 4.30090e10i | 0.0321717 | + | 0.0557231i | ||||
\(146\) | −5.23742e11 | −0.653397 | ||||||||
\(147\) | 3.06392e11 | − | 2.15567e11i | 0.368156 | − | 0.259022i | ||||
\(148\) | −1.94622e11 | −0.225296 | ||||||||
\(149\) | 7.81493e11 | + | 1.35359e12i | 0.871767 | + | 1.50995i | 0.860167 | + | 0.510013i | \(0.170359\pi\) |
0.0116005 | + | 0.999933i | \(0.496307\pi\) | |||||||
\(150\) | 2.29858e10 | − | 3.98126e10i | 0.0247149 | − | 0.0428074i | ||||
\(151\) | 2.97643e11 | − | 5.15533e11i | 0.308548 | − | 0.534420i | −0.669497 | − | 0.742815i | \(-0.733490\pi\) |
0.978045 | + | 0.208394i | \(0.0668237\pi\) | |||||||
\(152\) | 3.05772e11 | + | 5.29612e11i | 0.305673 | + | 0.529441i | ||||
\(153\) | 9.35666e11 | 0.902231 | ||||||||
\(154\) | 2.81879e11 | − | 1.27828e12i | 0.262240 | − | 1.18922i | ||||
\(155\) | 7.30471e11 | 0.655811 | ||||||||
\(156\) | −1.19093e11 | − | 2.06275e11i | −0.103205 | − | 0.178756i | ||||
\(157\) | −2.38442e11 | + | 4.12993e11i | −0.199496 | + | 0.345537i | −0.948365 | − | 0.317181i | \(-0.897264\pi\) |
0.748869 | + | 0.662718i | \(0.230597\pi\) | |||||||
\(158\) | 6.12592e10 | − | 1.06104e11i | 0.0494945 | − | 0.0857270i | ||||
\(159\) | −6.03472e10 | − | 1.04524e11i | −0.0470948 | − | 0.0815706i | ||||
\(160\) | 2.15495e11 | 0.162472 | ||||||||
\(161\) | −1.21577e12 | + | 3.84837e11i | −0.885748 | + | 0.280372i | ||||
\(162\) | 4.34983e11 | 0.306295 | ||||||||
\(163\) | −1.72808e11 | − | 2.99312e11i | −0.117634 | − | 0.203747i | 0.801196 | − | 0.598402i | \(-0.204198\pi\) |
−0.918829 | + | 0.394655i | \(0.870864\pi\) | |||||||
\(164\) | 8.93500e10 | − | 1.54759e11i | 0.0588103 | − | 0.101862i | ||||
\(165\) | 5.59663e11 | − | 9.69364e11i | 0.356258 | − | 0.617057i | ||||
\(166\) | 4.55614e10 | + | 7.89147e10i | 0.0280545 | + | 0.0485919i | ||||
\(167\) | 1.55896e12 | 0.928743 | 0.464371 | − | 0.885641i | \(-0.346280\pi\) | ||||
0.464371 | + | 0.885641i | \(0.346280\pi\) | |||||||
\(168\) | −2.03745e11 | − | 1.86277e11i | −0.117459 | − | 0.107388i | ||||
\(169\) | −2.84885e11 | −0.158962 | ||||||||
\(170\) | 6.80669e11 | + | 1.17895e12i | 0.367677 | + | 0.636836i | ||||
\(171\) | −1.31808e12 | + | 2.28297e12i | −0.689385 | + | 1.19405i | ||||
\(172\) | −9.37783e11 | + | 1.62429e12i | −0.475002 | + | 0.822728i | ||||
\(173\) | −1.61620e12 | − | 2.79934e12i | −0.792943 | − | 1.37342i | −0.924137 | − | 0.382060i | \(-0.875215\pi\) |
0.131195 | − | 0.991357i | \(-0.458119\pi\) | |||||||
\(174\) | −4.68824e10 | −0.0222838 | ||||||||
\(175\) | 2.48850e11 | + | 2.27514e11i | 0.114612 | + | 0.104785i | ||||
\(176\) | −9.64602e11 | −0.430555 | ||||||||
\(177\) | 2.64329e11 | + | 4.57831e11i | 0.114365 | + | 0.198085i | ||||
\(178\) | 4.32671e11 | − | 7.49408e11i | 0.181488 | − | 0.314346i | ||||
\(179\) | −1.15742e12 | + | 2.00472e12i | −0.470762 | + | 0.815383i | −0.999441 | − | 0.0334386i | \(-0.989354\pi\) |
0.528679 | + | 0.848822i | \(0.322688\pi\) | |||||||
\(180\) | 4.64463e11 | + | 8.04474e11i | 0.183211 | + | 0.317331i | ||||
\(181\) | −1.58539e12 | −0.606604 | −0.303302 | − | 0.952894i | \(-0.598089\pi\) | ||||
−0.303302 | + | 0.952894i | \(0.598089\pi\) | |||||||
\(182\) | 1.66552e12 | − | 5.27199e11i | 0.618241 | − | 0.195696i | ||||
\(183\) | −9.85338e11 | −0.354899 | ||||||||
\(184\) | 4.69859e11 | + | 8.13821e11i | 0.164237 | + | 0.284466i | ||||
\(185\) | 6.10310e11 | − | 1.05709e12i | 0.207065 | − | 0.358647i | ||||
\(186\) | −3.44790e11 | + | 5.97194e11i | −0.113562 | + | 0.196695i | ||||
\(187\) | −3.04681e12 | − | 5.27724e12i | −0.974354 | − | 1.68763i | ||||
\(188\) | 1.17938e12 | 0.366255 | ||||||||
\(189\) | 5.77639e11 | − | 2.61951e12i | 0.174227 | − | 0.790096i | ||||
\(190\) | −3.83544e12 | −1.12375 | ||||||||
\(191\) | −9.89309e10 | − | 1.71353e11i | −0.0281610 | − | 0.0487763i | 0.851601 | − | 0.524190i | \(-0.175632\pi\) |
−0.879762 | + | 0.475414i | \(0.842298\pi\) | |||||||
\(192\) | −1.01716e11 | + | 1.76178e11i | −0.0281341 | + | 0.0487297i | ||||
\(193\) | −1.34847e12 | + | 2.33562e12i | −0.362474 | + | 0.627824i | −0.988367 | − | 0.152085i | \(-0.951401\pi\) |
0.625893 | + | 0.779909i | \(0.284735\pi\) | |||||||
\(194\) | 2.39293e12 | + | 4.14467e12i | 0.625201 | + | 1.08288i | ||||
\(195\) | 1.49384e12 | 0.379415 | ||||||||
\(196\) | 1.65599e12 | − | 1.16510e12i | 0.408929 | − | 0.287709i | ||||
\(197\) | −4.05647e11 | −0.0974056 | −0.0487028 | − | 0.998813i | \(-0.515509\pi\) | ||||
−0.0487028 | + | 0.998813i | \(0.515509\pi\) | |||||||
\(198\) | −2.07903e12 | − | 3.60099e12i | −0.485515 | − | 0.840937i | ||||
\(199\) | −2.31758e12 | + | 4.01416e12i | −0.526432 | + | 0.911806i | 0.473094 | + | 0.881012i | \(0.343137\pi\) |
−0.999526 | + | 0.0307945i | \(0.990196\pi\) | |||||||
\(200\) | 1.24234e11 | − | 2.15179e11i | 0.0274521 | − | 0.0475484i | ||||
\(201\) | 6.04669e11 | + | 1.04732e12i | 0.129999 | + | 0.225164i | ||||
\(202\) | 4.93863e12 | 1.03318 | ||||||||
\(203\) | 7.40467e10 | − | 3.35791e11i | 0.0150757 | − | 0.0683661i | ||||
\(204\) | −1.28513e12 | −0.254672 | ||||||||
\(205\) | 5.60381e11 | + | 9.70608e11i | 0.108103 | + | 0.187239i | ||||
\(206\) | 2.30410e11 | − | 3.99081e11i | 0.0432744 | − | 0.0749535i | ||||
\(207\) | −2.02540e12 | + | 3.50810e12i | −0.370403 | + | 0.641556i | ||||
\(208\) | −6.43674e11 | − | 1.11488e12i | −0.114635 | − | 0.198554i | ||||
\(209\) | 1.71682e13 | 2.97797 | ||||||||
\(210\) | 1.65068e12 | − | 5.22500e11i | 0.278905 | − | 0.0882837i | ||||
\(211\) | 9.07445e12 | 1.49371 | 0.746856 | − | 0.664986i | \(-0.231562\pi\) | ||||
0.746856 | + | 0.664986i | \(0.231562\pi\) | |||||||
\(212\) | −3.26165e11 | − | 5.64934e11i | −0.0523107 | − | 0.0906047i | ||||
\(213\) | −2.28663e12 | + | 3.96056e12i | −0.357362 | + | 0.618969i | ||||
\(214\) | −1.24621e12 | + | 2.15850e12i | −0.189809 | + | 0.328758i | ||||
\(215\) | −5.88153e12 | − | 1.01871e13i | −0.873130 | − | 1.51231i | ||||
\(216\) | −1.97670e12 | −0.286052 | ||||||||
\(217\) | −3.73278e12 | − | 3.41274e12i | −0.526628 | − | 0.481476i | ||||
\(218\) | −9.58465e12 | −1.31846 | ||||||||
\(219\) | 1.55045e12 | + | 2.68546e12i | 0.207977 | + | 0.360227i | ||||
\(220\) | 3.02487e12 | − | 5.23922e12i | 0.395714 | − | 0.685397i | ||||
\(221\) | 4.06625e12 | − | 7.04295e12i | 0.518843 | − | 0.898663i | ||||
\(222\) | 5.76146e11 | + | 9.97914e11i | 0.0717119 | + | 0.124209i | ||||
\(223\) | 1.65459e12 | 0.200916 | 0.100458 | − | 0.994941i | \(-0.467969\pi\) | ||||
0.100458 | + | 0.994941i | \(0.467969\pi\) | |||||||
\(224\) | −1.10120e12 | − | 1.00679e12i | −0.130468 | − | 0.119282i | ||||
\(225\) | 1.07106e12 | 0.123825 | ||||||||
\(226\) | 9.47451e11 | + | 1.64103e12i | 0.106896 | + | 0.185149i | ||||
\(227\) | −4.04347e12 | + | 7.00350e12i | −0.445258 | + | 0.771210i | −0.998070 | − | 0.0620959i | \(-0.980222\pi\) |
0.552812 | + | 0.833306i | \(0.313555\pi\) | |||||||
\(228\) | 1.81037e12 | − | 3.13565e12i | 0.194592 | − | 0.337044i | ||||
\(229\) | 4.84481e12 | + | 8.39145e12i | 0.508372 | + | 0.880525i | 0.999953 | + | 0.00969372i | \(0.00308566\pi\) |
−0.491581 | + | 0.870832i | \(0.663581\pi\) | |||||||
\(230\) | −5.89368e12 | −0.603786 | ||||||||
\(231\) | −7.38878e12 | + | 2.33882e12i | −0.739106 | + | 0.233954i | ||||
\(232\) | −2.53390e11 | −0.0247518 | ||||||||
\(233\) | −1.57096e12 | − | 2.72099e12i | −0.149868 | − | 0.259578i | 0.781311 | − | 0.624142i | \(-0.214551\pi\) |
−0.931178 | + | 0.364564i | \(0.881218\pi\) | |||||||
\(234\) | 2.77466e12 | − | 4.80585e12i | 0.258537 | − | 0.447799i | ||||
\(235\) | −3.69837e12 | + | 6.40577e12i | −0.336618 | + | 0.583039i | ||||
\(236\) | 1.42865e12 | + | 2.47449e12i | 0.127031 | + | 0.220023i | ||||
\(237\) | −7.25389e11 | −0.0630166 | ||||||||
\(238\) | 2.02975e12 | − | 9.20463e12i | 0.172294 | − | 0.781328i | ||||
\(239\) | −1.00126e13 | −0.830538 | −0.415269 | − | 0.909699i | \(-0.636313\pi\) | ||||
−0.415269 | + | 0.909699i | \(0.636313\pi\) | |||||||
\(240\) | −6.37938e11 | − | 1.10494e12i | −0.0517150 | − | 0.0895730i | ||||
\(241\) | 1.14126e12 | − | 1.97671e12i | 0.0904251 | − | 0.156621i | −0.817265 | − | 0.576262i | \(-0.804511\pi\) |
0.907690 | + | 0.419641i | \(0.137844\pi\) | |||||||
\(242\) | −8.97494e12 | + | 1.55451e13i | −0.695100 | + | 1.20395i | ||||
\(243\) | −6.63081e12 | − | 1.14849e13i | −0.502033 | − | 0.869546i | ||||
\(244\) | −5.32556e12 | −0.394204 | ||||||||
\(245\) | 1.13526e12 | + | 1.26481e13i | 0.0821639 | + | 0.915400i | ||||
\(246\) | −1.05802e12 | −0.0748776 | ||||||||
\(247\) | 1.14563e13 | + | 1.98428e13i | 0.792885 | + | 1.37332i | ||||
\(248\) | −1.86352e12 | + | 3.22772e12i | −0.126139 | + | 0.218480i | ||||
\(249\) | 2.69754e11 | − | 4.67227e11i | 0.0178596 | − | 0.0309337i | ||||
\(250\) | 5.79656e12 | + | 1.00399e13i | 0.375405 | + | 0.650221i | ||||
\(251\) | −2.58284e13 | −1.63641 | −0.818203 | − | 0.574929i | \(-0.805030\pi\) | ||||
−0.818203 | + | 0.574929i | \(0.805030\pi\) | |||||||
\(252\) | 1.38503e12 | − | 6.28090e12i | 0.0858530 | − | 0.389331i | ||||
\(253\) | 2.63813e13 | 1.60005 | ||||||||
\(254\) | −4.89621e12 | − | 8.48049e12i | −0.290586 | − | 0.503310i | ||||
\(255\) | 4.03001e12 | − | 6.98018e12i | 0.234064 | − | 0.405411i | ||||
\(256\) | −5.49756e11 | + | 9.52205e11i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −1.49607e13 | − | 2.59126e13i | −0.832374 | − | 1.44171i | −0.896151 | − | 0.443750i | \(-0.853648\pi\) |
0.0637763 | − | 0.997964i | \(-0.479686\pi\) | |||||||
\(258\) | 1.11046e13 | 0.604775 | ||||||||
\(259\) | −8.05743e12 | + | 2.55047e12i | −0.429584 | + | 0.135979i | ||||
\(260\) | 8.07392e12 | 0.421435 | ||||||||
\(261\) | −5.46139e11 | − | 9.45941e11i | −0.0279113 | − | 0.0483438i | ||||
\(262\) | 2.72799e12 | − | 4.72502e12i | 0.136517 | − | 0.236454i | ||||
\(263\) | 1.81343e13 | − | 3.14095e13i | 0.888677 | − | 1.53923i | 0.0472369 | − | 0.998884i | \(-0.484958\pi\) |
0.841440 | − | 0.540350i | \(-0.181708\pi\) | |||||||
\(264\) | 2.85554e12 | + | 4.94594e12i | 0.137046 | + | 0.237371i | ||||
\(265\) | 4.09125e12 | 0.192311 | ||||||||
\(266\) | 1.95995e13 | + | 1.79191e13i | 0.902393 | + | 0.825024i | ||||
\(267\) | −5.12339e12 | −0.231071 | ||||||||
\(268\) | 3.26812e12 | + | 5.66054e12i | 0.144396 | + | 0.250102i | ||||
\(269\) | 9.56700e12 | − | 1.65705e13i | 0.414132 | − | 0.717297i | −0.581205 | − | 0.813757i | \(-0.697419\pi\) |
0.995337 | + | 0.0964600i | \(0.0307520\pi\) | |||||||
\(270\) | 6.19868e12 | − | 1.07364e13i | 0.262905 | − | 0.455364i | ||||
\(271\) | 1.73700e13 | + | 3.00857e13i | 0.721885 | + | 1.25034i | 0.960243 | + | 0.279164i | \(0.0900573\pi\) |
−0.238359 | + | 0.971177i | \(0.576609\pi\) | |||||||
\(272\) | −6.94588e12 | −0.282878 | ||||||||
\(273\) | −7.63368e12 | − | 6.97919e12i | −0.304677 | − | 0.278555i | ||||
\(274\) | 4.49905e12 | 0.175992 | ||||||||
\(275\) | −3.48769e12 | − | 6.04086e12i | −0.133724 | − | 0.231616i | ||||
\(276\) | 2.78188e12 | − | 4.81835e12i | 0.104553 | − | 0.181092i | ||||
\(277\) | −3.34095e12 | + | 5.78670e12i | −0.123092 | + | 0.213202i | −0.920986 | − | 0.389596i | \(-0.872615\pi\) |
0.797893 | + | 0.602799i | \(0.205948\pi\) | |||||||
\(278\) | 8.74084e12 | + | 1.51396e13i | 0.315723 | + | 0.546849i | ||||
\(279\) | −1.60660e13 | −0.568964 | ||||||||
\(280\) | 8.92159e12 | − | 2.82401e12i | 0.309794 | − | 0.0980612i | ||||
\(281\) | 1.24277e13 | 0.423160 | 0.211580 | − | 0.977361i | \(-0.432139\pi\) | ||||
0.211580 | + | 0.977361i | \(0.432139\pi\) | |||||||
\(282\) | −3.49134e12 | − | 6.04718e12i | −0.116579 | − | 0.201922i | ||||
\(283\) | 4.91946e12 | − | 8.52075e12i | 0.161099 | − | 0.279031i | −0.774164 | − | 0.632985i | \(-0.781830\pi\) |
0.935263 | + | 0.353954i | \(0.115163\pi\) | |||||||
\(284\) | −1.23588e13 | + | 2.14060e13i | −0.396940 | + | 0.687520i | ||||
\(285\) | 1.13542e13 | + | 1.96660e13i | 0.357692 | + | 0.619540i | ||||
\(286\) | −3.61405e13 | −1.11682 | ||||||||
\(287\) | 1.67105e12 | − | 7.57798e12i | 0.0506570 | − | 0.229722i | ||||
\(288\) | −4.73961e12 | −0.140956 | ||||||||
\(289\) | −4.80347e12 | − | 8.31986e12i | −0.140158 | − | 0.242760i | ||||
\(290\) | 7.94600e11 | − | 1.37629e12i | 0.0227489 | − | 0.0394022i | ||||
\(291\) | 1.41677e13 | − | 2.45392e13i | 0.398005 | − | 0.689364i | ||||
\(292\) | 8.37988e12 | + | 1.45144e13i | 0.231011 | + | 0.400122i | ||||
\(293\) | −5.17961e13 | −1.40128 | −0.700640 | − | 0.713515i | \(-0.747102\pi\) | ||||
−0.700640 | + | 0.713515i | \(0.747102\pi\) | |||||||
\(294\) | −1.08762e13 | − | 5.04190e12i | −0.288781 | − | 0.133870i | ||||
\(295\) | −1.79202e13 | −0.467005 | ||||||||
\(296\) | 3.11396e12 | + | 5.39353e12i | 0.0796541 | + | 0.137965i | ||||
\(297\) | −2.77466e13 | + | 4.80585e13i | −0.696705 | + | 1.20673i | ||||
\(298\) | 2.50078e13 | − | 4.33147e13i | 0.616433 | − | 1.06769i | ||||
\(299\) | 1.76041e13 | + | 3.04912e13i | 0.426013 | + | 0.737876i | ||||
\(300\) | −1.47109e12 | −0.0349521 | ||||||||
\(301\) | −1.75387e13 | + | 7.95355e13i | −0.409149 | + | 1.85543i | ||||
\(302\) | −1.90491e13 | −0.436352 | ||||||||
\(303\) | −1.46200e13 | − | 2.53225e13i | −0.328861 | − | 0.569604i | ||||
\(304\) | 9.78469e12 | − | 1.69476e13i | 0.216144 | − | 0.374372i | ||||
\(305\) | 1.67003e13 | − | 2.89257e13i | 0.362305 | − | 0.627531i | ||||
\(306\) | −1.49706e13 | − | 2.59299e13i | −0.318987 | − | 0.552501i | ||||
\(307\) | 4.13980e13 | 0.866399 | 0.433200 | − | 0.901298i | \(-0.357385\pi\) | ||||
0.433200 | + | 0.901298i | \(0.357385\pi\) | |||||||
\(308\) | −3.99349e13 | + | 1.26409e13i | −0.820963 | + | 0.259865i | ||||
\(309\) | −2.72836e12 | −0.0550972 | ||||||||
\(310\) | −1.16875e13 | − | 2.02434e13i | −0.231864 | − | 0.401601i | ||||
\(311\) | −1.19663e13 | + | 2.07262e13i | −0.233226 | + | 0.403960i | −0.958756 | − | 0.284231i | \(-0.908262\pi\) |
0.725529 | + | 0.688191i | \(0.241595\pi\) | |||||||
\(312\) | −3.81098e12 | + | 6.60080e12i | −0.0729770 | + | 0.126400i | ||||
\(313\) | −3.00794e13 | − | 5.20990e13i | −0.565946 | − | 0.980247i | −0.996961 | − | 0.0779021i | \(-0.975178\pi\) |
0.431015 | − | 0.902345i | \(-0.358155\pi\) | |||||||
\(314\) | 1.52603e13 | 0.282130 | ||||||||
\(315\) | 2.97714e13 | + | 2.72189e13i | 0.540867 | + | 0.494495i | ||||
\(316\) | −3.92059e12 | −0.0699958 | ||||||||
\(317\) | −3.03293e13 | − | 5.25319e13i | −0.532153 | − | 0.921716i | −0.999295 | − | 0.0375339i | \(-0.988050\pi\) |
0.467142 | − | 0.884182i | \(-0.345284\pi\) | |||||||
\(318\) | −1.93111e12 | + | 3.34478e12i | −0.0333011 | + | 0.0576792i | ||||
\(319\) | −3.55679e12 | + | 6.16054e12i | −0.0602851 | + | 0.104417i | ||||
\(320\) | −3.44793e12 | − | 5.97199e12i | −0.0574425 | − | 0.0994933i | ||||
\(321\) | 1.47568e13 | 0.241665 | ||||||||
\(322\) | 3.01173e13 | + | 2.75351e13i | 0.484851 | + | 0.443281i | ||||
\(323\) | 1.23625e14 | 1.95655 | ||||||||
\(324\) | −6.95972e12 | − | 1.20546e13i | −0.108291 | − | 0.187566i | ||||
\(325\) | 4.65464e12 | − | 8.06208e12i | 0.0712079 | − | 0.123336i | ||||
\(326\) | −5.52985e12 | + | 9.57798e12i | −0.0831795 | + | 0.144071i | ||||
\(327\) | 2.83737e13 | + | 4.91447e13i | 0.419666 | + | 0.726882i | ||||
\(328\) | −5.71840e12 | −0.0831704 | ||||||||
\(329\) | 4.88266e13 | − | 1.54554e13i | 0.698360 | − | 0.221056i | ||||
\(330\) | −3.58184e13 | −0.503825 | ||||||||
\(331\) | 4.28674e12 | + | 7.42485e12i | 0.0593025 | + | 0.102715i | 0.894152 | − | 0.447763i | \(-0.147779\pi\) |
−0.834850 | + | 0.550477i | \(0.814446\pi\) | |||||||
\(332\) | 1.45797e12 | − | 2.52527e12i | 0.0198375 | − | 0.0343596i | ||||
\(333\) | −1.34232e13 | + | 2.32496e13i | −0.179644 | + | 0.311152i | ||||
\(334\) | −2.49434e13 | − | 4.32033e13i | −0.328360 | − | 0.568736i | ||||
\(335\) | −4.09936e13 | −0.530847 | ||||||||
\(336\) | −1.90233e12 | + | 8.62678e12i | −0.0242337 | + | 0.109896i | ||||
\(337\) | −3.53213e13 | −0.442661 | −0.221331 | − | 0.975199i | \(-0.571040\pi\) | ||||
−0.221331 | + | 0.975199i | \(0.571040\pi\) | |||||||
\(338\) | 4.55817e12 | + | 7.89497e12i | 0.0562015 | + | 0.0973439i | ||||
\(339\) | 5.60954e12 | − | 9.71600e12i | 0.0680501 | − | 0.117866i | ||||
\(340\) | 2.17814e13 | − | 3.77265e13i | 0.259987 | − | 0.450311i | ||||
\(341\) | 5.23158e13 | + | 9.06136e13i | 0.614446 | + | 1.06425i | ||||
\(342\) | 8.43568e13 | 0.974937 | ||||||||
\(343\) | 5.32902e13 | − | 6.99368e13i | 0.606079 | − | 0.795404i | ||||
\(344\) | 6.00181e13 | 0.671755 | ||||||||
\(345\) | 1.74472e13 | + | 3.02195e13i | 0.192186 | + | 0.332876i | ||||
\(346\) | −5.17184e13 | + | 8.95789e13i | −0.560695 | + | 0.971152i | ||||
\(347\) | 2.69612e13 | − | 4.66982e13i | 0.287692 | − | 0.498297i | −0.685567 | − | 0.728010i | \(-0.740445\pi\) |
0.973258 | + | 0.229713i | \(0.0737788\pi\) | |||||||
\(348\) | 7.50119e11 | + | 1.29924e12i | 0.00787851 | + | 0.0136460i | ||||
\(349\) | −8.14908e13 | −0.842497 | −0.421249 | − | 0.906945i | \(-0.638408\pi\) | ||||
−0.421249 | + | 0.906945i | \(0.638408\pi\) | |||||||
\(350\) | 2.32346e12 | − | 1.05366e13i | 0.0236462 | − | 0.107232i | ||||
\(351\) | −7.40606e13 | −0.741990 | ||||||||
\(352\) | 1.54336e13 | + | 2.67318e13i | 0.152224 | + | 0.263660i | ||||
\(353\) | 7.16104e13 | − | 1.24033e14i | 0.695369 | − | 1.20441i | −0.274687 | − | 0.961534i | \(-0.588574\pi\) |
0.970056 | − | 0.242881i | \(-0.0780925\pi\) | |||||||
\(354\) | 8.45852e12 | − | 1.46506e13i | 0.0808680 | − | 0.140067i | ||||
\(355\) | −7.75111e13 | − | 1.34253e14i | −0.729639 | − | 1.26377i | ||||
\(356\) | −2.76909e13 | −0.256663 | ||||||||
\(357\) | −5.32049e13 | + | 1.68413e13i | −0.485598 | + | 0.153709i | ||||
\(358\) | 7.40752e13 | 0.665758 | ||||||||
\(359\) | 2.74231e12 | + | 4.74982e12i | 0.0242715 | + | 0.0420395i | 0.877906 | − | 0.478833i | \(-0.158940\pi\) |
−0.853635 | + | 0.520872i | \(0.825607\pi\) | |||||||
\(360\) | 1.48628e13 | − | 2.57432e13i | 0.129550 | − | 0.224387i | ||||
\(361\) | −1.15905e14 | + | 2.00754e14i | −0.994978 | + | 1.72335i | ||||
\(362\) | 2.53663e13 | + | 4.39357e13i | 0.214467 | + | 0.371468i | ||||
\(363\) | 1.06275e14 | 0.885004 | ||||||||
\(364\) | −4.12585e13 | − | 3.77211e13i | −0.338420 | − | 0.309405i | ||||
\(365\) | −1.05113e14 | −0.849269 | ||||||||
\(366\) | 1.57654e13 | + | 2.73065e13i | 0.125476 | + | 0.217330i | ||||
\(367\) | −1.31957e13 | + | 2.28557e13i | −0.103459 | + | 0.179197i | −0.913108 | − | 0.407718i | \(-0.866325\pi\) |
0.809648 | + | 0.586915i | \(0.199658\pi\) | |||||||
\(368\) | 1.50355e13 | − | 2.60423e13i | 0.116133 | − | 0.201148i | ||||
\(369\) | −1.23250e13 | − | 2.13476e13i | −0.0937870 | − | 0.162444i | ||||
\(370\) | −3.90599e13 | −0.292834 | ||||||||
\(371\) | −2.09067e13 | − | 1.91142e13i | −0.154429 | − | 0.141189i | ||||
\(372\) | 2.20666e13 | 0.160601 | ||||||||
\(373\) | −5.25182e13 | − | 9.09643e13i | −0.376627 | − | 0.652337i | 0.613942 | − | 0.789351i | \(-0.289583\pi\) |
−0.990569 | + | 0.137014i | \(0.956250\pi\) | |||||||
\(374\) | −9.74980e13 | + | 1.68872e14i | −0.688973 | + | 1.19334i | ||||
\(375\) | 3.43194e13 | − | 5.94430e13i | 0.238984 | − | 0.413932i | ||||
\(376\) | −1.88700e13 | − | 3.26838e13i | −0.129491 | − | 0.224285i | ||||
\(377\) | −9.49372e12 | −0.0642036 | ||||||||
\(378\) | −8.18362e13 | + | 2.59041e13i | −0.545432 | + | 0.172649i | ||||
\(379\) | −2.86957e14 | −1.88496 | −0.942479 | − | 0.334265i | \(-0.891512\pi\) | ||||
−0.942479 | + | 0.334265i | \(0.891512\pi\) | |||||||
\(380\) | 6.13671e13 | + | 1.06291e14i | 0.397306 | + | 0.688155i | ||||
\(381\) | −2.89888e13 | + | 5.02101e13i | −0.184988 | + | 0.320408i | ||||
\(382\) | −3.16579e12 | + | 5.48331e12i | −0.0199129 | + | 0.0344901i | ||||
\(383\) | 1.16012e13 | + | 2.00938e13i | 0.0719298 | + | 0.124586i | 0.899747 | − | 0.436412i | \(-0.143751\pi\) |
−0.827817 | + | 0.560998i | \(0.810418\pi\) | |||||||
\(384\) | 6.50983e12 | 0.0397876 | ||||||||
\(385\) | 5.65720e13 | − | 2.56546e14i | 0.340853 | − | 1.54572i | ||||
\(386\) | 8.63023e13 | 0.512616 | ||||||||
\(387\) | 1.29359e14 | + | 2.24056e14i | 0.757504 | + | 1.31204i | ||||
\(388\) | 7.65737e13 | − | 1.32629e14i | 0.442084 | − | 0.765712i | ||||
\(389\) | −7.22309e13 | + | 1.25108e14i | −0.411150 | + | 0.712133i | −0.995016 | − | 0.0997174i | \(-0.968206\pi\) |
0.583866 | + | 0.811850i | \(0.301539\pi\) | |||||||
\(390\) | −2.39015e13 | − | 4.13985e13i | −0.134143 | − | 0.232343i | ||||
\(391\) | 1.89966e14 | 1.05124 | ||||||||
\(392\) | −5.87839e13 | − | 2.72505e13i | −0.320764 | − | 0.148696i | ||||
\(393\) | −3.23030e13 | −0.173814 | ||||||||
\(394\) | 6.49035e12 | + | 1.12416e13i | 0.0344381 | + | 0.0596485i | ||||
\(395\) | 1.22945e13 | − | 2.12946e13i | 0.0643317 | − | 0.111426i | ||||
\(396\) | −6.65290e13 | + | 1.15232e14i | −0.343311 | + | 0.594632i | ||||
\(397\) | 8.60038e13 | + | 1.48963e14i | 0.437693 | + | 0.758107i | 0.997511 | − | 0.0705089i | \(-0.0224623\pi\) |
−0.559818 | + | 0.828616i | \(0.689129\pi\) | |||||||
\(398\) | 1.48325e14 | 0.744487 | ||||||||
\(399\) | 3.38581e13 | − | 1.53542e14i | 0.167614 | − | 0.760107i | ||||
\(400\) | −7.95097e12 | −0.0388231 | ||||||||
\(401\) | 4.10349e13 | + | 7.10745e13i | 0.197633 | + | 0.342310i | 0.947760 | − | 0.318983i | \(-0.103341\pi\) |
−0.750127 | + | 0.661293i | \(0.770008\pi\) | |||||||
\(402\) | 1.93494e13 | − | 3.35141e13i | 0.0919230 | − | 0.159215i | ||||
\(403\) | −6.98202e13 | + | 1.20932e14i | −0.327192 | + | 0.566714i | ||||
\(404\) | −7.90181e13 | − | 1.36863e14i | −0.365283 | − | 0.632688i | ||||
\(405\) | 8.72992e13 | 0.398114 | ||||||||
\(406\) | −1.04905e13 | + | 3.32061e12i | −0.0471956 | + | 0.0149391i | ||||
\(407\) | 1.74840e14 | 0.776017 | ||||||||
\(408\) | 2.05621e13 | + | 3.56146e13i | 0.0900402 | + | 0.155954i | ||||
\(409\) | 1.91001e14 | − | 3.30823e14i | 0.825196 | − | 1.42928i | −0.0765734 | − | 0.997064i | \(-0.524398\pi\) |
0.901769 | − | 0.432217i | \(-0.142269\pi\) | |||||||
\(410\) | 1.79322e13 | − | 3.10594e13i | 0.0764402 | − | 0.132398i | ||||
\(411\) | −1.33187e13 | − | 2.30686e13i | −0.0560184 | − | 0.0970268i | ||||
\(412\) | −1.47462e13 | −0.0611993 | ||||||||
\(413\) | 9.15740e13 | + | 8.37227e13i | 0.375013 | + | 0.342861i | ||||
\(414\) | 1.29626e14 | 0.523829 | ||||||||
\(415\) | 9.14399e12 | + | 1.58378e13i | 0.0364646 | + | 0.0631585i | ||||
\(416\) | −2.05976e13 | + | 3.56761e13i | −0.0810593 | + | 0.140399i | ||||
\(417\) | 5.17515e13 | − | 8.96363e13i | 0.200990 | − | 0.348125i | ||||
\(418\) | −2.74692e14 | − | 4.75780e14i | −1.05287 | − | 1.82363i | ||||
\(419\) | −4.96331e13 | −0.187756 | −0.0938780 | − | 0.995584i | \(-0.529926\pi\) | ||||
−0.0938780 | + | 0.995584i | \(0.529926\pi\) | |||||||
\(420\) | −4.08908e13 | − | 3.73849e13i | −0.152670 | − | 0.139581i | ||||
\(421\) | 1.60851e14 | 0.592753 | 0.296376 | − | 0.955071i | \(-0.404222\pi\) | ||||
0.296376 | + | 0.955071i | \(0.404222\pi\) | |||||||
\(422\) | −1.45191e14 | − | 2.51479e14i | −0.528107 | − | 0.914708i | ||||
\(423\) | 8.13421e13 | − | 1.40889e14i | 0.292041 | − | 0.505829i | ||||
\(424\) | −1.04373e13 | + | 1.80779e13i | −0.0369892 | + | 0.0640672i | ||||
\(425\) | −2.51141e13 | − | 4.34989e13i | −0.0878575 | − | 0.152174i | ||||
\(426\) | 1.46344e14 | 0.505386 | ||||||||
\(427\) | −2.20480e14 | + | 6.97900e13i | −0.751651 | + | 0.237925i | ||||
\(428\) | 7.97575e13 | 0.268430 | ||||||||
\(429\) | 1.06988e14 | + | 1.85308e14i | 0.355483 | + | 0.615715i | ||||
\(430\) | −1.88209e14 | + | 3.25988e14i | −0.617396 | + | 1.06936i | ||||
\(431\) | −3.04795e14 | + | 5.27920e14i | −0.987149 | + | 1.70979i | −0.355179 | + | 0.934798i | \(0.615580\pi\) |
−0.631970 | + | 0.774993i | \(0.717753\pi\) | |||||||
\(432\) | 3.16272e13 | + | 5.47799e13i | 0.101135 | + | 0.175170i | ||||
\(433\) | 3.78581e14 | 1.19530 | 0.597648 | − | 0.801758i | \(-0.296102\pi\) | ||||
0.597648 | + | 0.801758i | \(0.296102\pi\) | |||||||
\(434\) | −3.48522e13 | + | 1.58050e14i | −0.108652 | + | 0.492720i | ||||
\(435\) | −9.40911e12 | −0.0289639 | ||||||||
\(436\) | 1.53354e14 | + | 2.65617e14i | 0.466144 | + | 0.807386i | ||||
\(437\) | −2.67606e14 | + | 4.63507e14i | −0.803244 | + | 1.39126i | ||||
\(438\) | 4.96144e13 | − | 8.59347e13i | 0.147062 | − | 0.254719i | ||||
\(439\) | 1.12077e14 | + | 1.94124e14i | 0.328067 | + | 0.568229i | 0.982128 | − | 0.188213i | \(-0.0602695\pi\) |
−0.654061 | + | 0.756442i | \(0.726936\pi\) | |||||||
\(440\) | −1.93592e14 | −0.559624 | ||||||||
\(441\) | −2.49689e13 | − | 2.78182e14i | −0.0712832 | − | 0.794176i | ||||
\(442\) | −2.60240e14 | −0.733755 | ||||||||
\(443\) | −2.51257e14 | − | 4.35190e14i | −0.699678 | − | 1.21188i | −0.968578 | − | 0.248710i | \(-0.919993\pi\) |
0.268900 | − | 0.963168i | \(-0.413340\pi\) | |||||||
\(444\) | 1.84367e13 | − | 3.19332e13i | 0.0507079 | − | 0.0878287i | ||||
\(445\) | 8.68352e13 | − | 1.50403e14i | 0.235893 | − | 0.408579i | ||||
\(446\) | −2.64734e13 | − | 4.58533e13i | −0.0710344 | − | 0.123035i | ||||
\(447\) | −2.96125e14 | −0.784845 | ||||||||
\(448\) | −1.02817e13 | + | 4.66261e13i | −0.0269176 | + | 0.122067i | ||||
\(449\) | −3.05601e14 | −0.790315 | −0.395157 | − | 0.918613i | \(-0.629310\pi\) | ||||
−0.395157 | + | 0.918613i | \(0.629310\pi\) | |||||||
\(450\) | −1.71369e13 | − | 2.96821e13i | −0.0437789 | − | 0.0758272i | ||||
\(451\) | −8.02681e13 | + | 1.39028e14i | −0.202569 | + | 0.350859i | ||||
\(452\) | 3.03184e13 | − | 5.25131e13i | 0.0755867 | − | 0.130920i | ||||
\(453\) | 5.63917e13 | + | 9.76734e13i | 0.138891 | + | 0.240567i | ||||
\(454\) | 2.58782e14 | 0.629691 | ||||||||
\(455\) | 3.34263e14 | − | 1.05807e14i | 0.803574 | − | 0.254361i | ||||
\(456\) | −1.15864e14 | −0.275195 | ||||||||
\(457\) | −2.99569e14 | − | 5.18868e14i | −0.703003 | − | 1.21764i | −0.967407 | − | 0.253225i | \(-0.918509\pi\) |
0.264404 | − | 0.964412i | \(-0.414825\pi\) | |||||||
\(458\) | 1.55034e14 | − | 2.68526e14i | 0.359473 | − | 0.622625i | ||||
\(459\) | −1.99797e14 | + | 3.46058e14i | −0.457740 | + | 0.792829i | ||||
\(460\) | 9.42988e13 | + | 1.63330e14i | 0.213471 | + | 0.369742i | ||||
\(461\) | −7.94975e13 | −0.177827 | −0.0889136 | − | 0.996039i | \(-0.528340\pi\) | ||||
−0.0889136 | + | 0.996039i | \(0.528340\pi\) | |||||||
\(462\) | 1.83036e14 | + | 1.67343e14i | 0.404580 | + | 0.369893i | ||||
\(463\) | −6.38761e14 | −1.39522 | −0.697610 | − | 0.716478i | \(-0.745753\pi\) | ||||
−0.697610 | + | 0.716478i | \(0.745753\pi\) | |||||||
\(464\) | 4.05425e12 | + | 7.02216e12i | 0.00875107 | + | 0.0151573i | ||||
\(465\) | −6.91979e13 | + | 1.19854e14i | −0.147605 | + | 0.255660i | ||||
\(466\) | −5.02708e13 | + | 8.70715e13i | −0.105972 | + | 0.183550i | ||||
\(467\) | 6.30558e13 | + | 1.09216e14i | 0.131366 | + | 0.227532i | 0.924203 | − | 0.381901i | \(-0.124730\pi\) |
−0.792838 | + | 0.609433i | \(0.791397\pi\) | |||||||
\(468\) | −1.77578e14 | −0.365626 | ||||||||
\(469\) | 2.09481e14 | + | 1.91521e14i | 0.426280 | + | 0.389731i | ||||
\(470\) | 2.36696e14 | 0.476050 | ||||||||
\(471\) | −4.51754e13 | − | 7.82462e13i | −0.0898023 | − | 0.155542i | ||||
\(472\) | 4.57167e13 | − | 7.91836e13i | 0.0898242 | − | 0.155580i | ||||
\(473\) | 8.42462e14 | − | 1.45919e15i | 1.63612 | − | 2.83384i | ||||
\(474\) | 1.16062e13 | + | 2.01026e13i | 0.0222797 | + | 0.0385896i | ||||
\(475\) | 1.41513e14 | 0.268524 | ||||||||
\(476\) | −2.87562e14 | + | 9.10240e13i | −0.539378 | + | 0.170733i | ||||
\(477\) | −8.99830e13 | −0.166844 | ||||||||
\(478\) | 1.60202e14 | + | 2.77478e14i | 0.293640 | + | 0.508599i | ||||
\(479\) | 1.45117e14 | − | 2.51350e14i | 0.262950 | − | 0.455442i | −0.704075 | − | 0.710126i | \(-0.748638\pi\) |
0.967024 | + | 0.254684i | \(0.0819714\pi\) | |||||||
\(480\) | −2.04140e13 | + | 3.53581e13i | −0.0365680 | + | 0.0633376i | ||||
\(481\) | 1.16670e14 | + | 2.02078e14i | 0.206614 | + | 0.357867i | ||||
\(482\) | −7.30403e13 | −0.127880 | ||||||||
\(483\) | 5.20275e13 | − | 2.35937e14i | 0.0900584 | − | 0.408402i | ||||
\(484\) | 5.74396e14 | 0.983020 | ||||||||
\(485\) | 4.80250e14 | + | 8.31818e14i | 0.812621 | + | 1.40750i | ||||
\(486\) | −2.12186e14 | + | 3.67517e14i | −0.354991 | + | 0.614862i | ||||
\(487\) | 3.54362e13 | − | 6.13774e13i | 0.0586190 | − | 0.101531i | −0.835227 | − | 0.549906i | \(-0.814664\pi\) |
0.893846 | + | 0.448375i | \(0.147997\pi\) | |||||||
\(488\) | 8.52089e13 | + | 1.47586e14i | 0.139372 | + | 0.241400i | ||||
\(489\) | 6.54807e13 | 0.105905 | ||||||||
\(490\) | 3.32349e14 | − | 2.33830e14i | 0.531516 | − | 0.373958i | ||||
\(491\) | 1.51934e14 | 0.240273 | 0.120137 | − | 0.992757i | \(-0.461667\pi\) | ||||
0.120137 | + | 0.992757i | \(0.461667\pi\) | |||||||
\(492\) | 1.69284e13 | + | 2.93208e13i | 0.0264732 | + | 0.0458530i | ||||
\(493\) | −2.56117e13 | + | 4.43607e13i | −0.0396077 | + | 0.0686026i | ||||
\(494\) | 3.66601e14 | − | 6.34971e14i | 0.560654 | − | 0.971082i | ||||
\(495\) | −4.17253e14 | − | 7.22703e14i | −0.631060 | − | 1.09303i | ||||
\(496\) | 1.19265e14 | 0.178388 | ||||||||
\(497\) | −2.31138e14 | + | 1.04818e15i | −0.341909 | + | 1.55051i | ||||
\(498\) | −1.72642e13 | −0.0252572 | ||||||||
\(499\) | −2.18195e14 | − | 3.77925e14i | −0.315713 | − | 0.546830i | 0.663876 | − | 0.747843i | \(-0.268910\pi\) |
−0.979589 | + | 0.201012i | \(0.935577\pi\) | |||||||
\(500\) | 1.85490e14 | − | 3.21278e14i | 0.265451 | − | 0.459775i | ||||
\(501\) | −1.47681e14 | + | 2.55792e14i | −0.209035 | + | 0.362059i | ||||
\(502\) | 4.13254e14 | + | 7.15776e14i | 0.578557 | + | 1.00209i | ||||
\(503\) | −1.11570e15 | −1.54499 | −0.772494 | − | 0.635022i | \(-0.780991\pi\) | ||||
−0.772494 | + | 0.635022i | \(0.780991\pi\) | |||||||
\(504\) | −1.96222e14 | + | 6.21114e13i | −0.268769 | + | 0.0850753i | ||||
\(505\) | 9.91163e14 | 1.34290 | ||||||||
\(506\) | −4.22101e14 | − | 7.31100e14i | −0.565703 | − | 0.979826i | ||||
\(507\) | 2.69873e13 | − | 4.67434e13i | 0.0357780 | − | 0.0619693i | ||||
\(508\) | −1.56679e14 | + | 2.71376e14i | −0.205475 | + | 0.355894i | ||||
\(509\) | 2.36166e14 | + | 4.09051e14i | 0.306386 | + | 0.530676i | 0.977569 | − | 0.210615i | \(-0.0675468\pi\) |
−0.671183 | + | 0.741292i | \(0.734213\pi\) | |||||||
\(510\) | −2.57920e14 | −0.331017 | ||||||||
\(511\) | 5.37137e14 | + | 4.91085e14i | 0.681978 | + | 0.623507i | ||||
\(512\) | 3.51844e13 | 0.0441942 | ||||||||
\(513\) | −5.62909e14 | − | 9.74987e14i | −0.699508 | − | 1.21158i | ||||
\(514\) | −4.78741e14 | + | 8.29204e14i | −0.588577 | + | 1.01945i | ||||
\(515\) | 4.62423e13 | − | 8.00940e13i | 0.0562470 | − | 0.0974227i | ||||
\(516\) | −1.77673e14 | − | 3.07739e14i | −0.213820 | − | 0.370348i | ||||
\(517\) | −1.05950e15 | −1.26154 | ||||||||
\(518\) | 1.99600e14 | + | 1.82487e14i | 0.235151 | + | 0.214989i | ||||
\(519\) | 6.12414e14 | 0.713879 | ||||||||
\(520\) | −1.29183e14 | − | 2.23751e14i | −0.149000 | − | 0.258075i | ||||
\(521\) | 5.84719e14 | − | 1.01276e15i | 0.667328 | − | 1.15585i | −0.311320 | − | 0.950305i | \(-0.600771\pi\) |
0.978648 | − | 0.205541i | \(-0.0658955\pi\) | |||||||
\(522\) | −1.74765e13 | + | 3.02701e13i | −0.0197363 | + | 0.0341843i | ||||
\(523\) | 2.46879e14 | + | 4.27607e14i | 0.275883 | + | 0.477843i | 0.970358 | − | 0.241674i | \(-0.0776964\pi\) |
−0.694475 | + | 0.719517i | \(0.744363\pi\) | |||||||
\(524\) | −1.74591e14 | −0.193064 | ||||||||
\(525\) | −6.09038e13 | + | 1.92783e13i | −0.0666451 | + | 0.0210956i | ||||
\(526\) | −1.16059e15 | −1.25678 | ||||||||
\(527\) | 3.76714e14 | + | 6.52489e14i | 0.403696 | + | 0.699221i | ||||
\(528\) | 9.13773e13 | − | 1.58270e14i | 0.0969062 | − | 0.167846i | ||||
\(529\) | 6.51925e13 | − | 1.12917e14i | 0.0684214 | − | 0.118509i | ||||
\(530\) | −6.54599e13 | − | 1.13380e14i | −0.0679921 | − | 0.117766i | ||||
\(531\) | 3.94137e14 | 0.405161 | ||||||||
\(532\) | 1.82996e14 | − | 8.29862e14i | 0.186178 | − | 0.844291i | ||||
\(533\) | −2.14250e14 | −0.215735 | ||||||||
\(534\) | 8.19743e13 | + | 1.41984e14i | 0.0816960 | + | 0.141502i | ||||
\(535\) | −2.50109e14 | + | 4.33202e14i | −0.246709 | + | 0.427312i | ||||
\(536\) | 1.04580e14 | − | 1.81137e14i | 0.102104 | − | 0.176849i | ||||
\(537\) | −2.19287e14 | − | 3.79816e14i | −0.211911 | − | 0.367041i | ||||
\(538\) | −6.12288e14 | −0.585671 | ||||||||
\(539\) | −1.48766e15 | + | 1.04667e15i | −1.40853 | + | 0.990998i | ||||
\(540\) | −3.96716e14 | −0.371804 | ||||||||
\(541\) | 5.06010e14 | + | 8.76435e14i | 0.469434 | + | 0.813083i | 0.999389 | − | 0.0349423i | \(-0.0111247\pi\) |
−0.529956 | + | 0.848025i | \(0.677791\pi\) | |||||||
\(542\) | 5.55839e14 | − | 9.62741e14i | 0.510450 | − | 0.884125i | ||||
\(543\) | 1.50185e14 | − | 2.60129e14i | 0.136530 | − | 0.236477i | ||||
\(544\) | 1.11134e14 | + | 1.92490e14i | 0.100012 | + | 0.173226i | ||||
\(545\) | −1.92360e15 | −1.71370 | ||||||||
\(546\) | −7.12741e13 | + | 3.23218e14i | −0.0628596 | + | 0.285059i | ||||
\(547\) | 1.05260e15 | 0.919040 | 0.459520 | − | 0.888168i | \(-0.348022\pi\) | ||||
0.459520 | + | 0.888168i | \(0.348022\pi\) | |||||||
\(548\) | −7.19848e13 | − | 1.24681e14i | −0.0622226 | − | 0.107773i | ||||
\(549\) | −3.67306e14 | + | 6.36193e14i | −0.314326 | + | 0.544429i | ||||
\(550\) | −1.11606e14 | + | 1.93308e14i | −0.0945570 | + | 0.163778i | ||||
\(551\) | −7.21585e13 | − | 1.24982e14i | −0.0605276 | − | 0.104837i | ||||
\(552\) | −1.78040e14 | −0.147861 | ||||||||
\(553\) | −1.62314e14 | + | 5.13782e13i | −0.133465 | + | 0.0422465i | ||||
\(554\) | 2.13821e14 | 0.174079 | ||||||||
\(555\) | 1.15630e14 | + | 2.00277e14i | 0.0932093 | + | 0.161443i | ||||
\(556\) | 2.79707e14 | − | 4.84467e14i | 0.223250 | − | 0.386681i | ||||
\(557\) | −1.89220e14 | + | 3.27738e14i | −0.149542 | + | 0.259014i | −0.931058 | − | 0.364871i | \(-0.881113\pi\) |
0.781516 | + | 0.623885i | \(0.214447\pi\) | |||||||
\(558\) | 2.57056e14 | + | 4.45234e14i | 0.201159 | + | 0.348418i | ||||
\(559\) | 2.24868e15 | 1.74246 | ||||||||
\(560\) | −2.21007e14 | − | 2.02058e14i | −0.169579 | − | 0.155040i | ||||
\(561\) | 1.15450e15 | 0.877203 | ||||||||
\(562\) | −1.98843e14 | − | 3.44406e14i | −0.149610 | − | 0.259132i | ||||
\(563\) | −4.46811e12 | + | 7.73899e12i | −0.00332911 | + | 0.00576618i | −0.867685 | − | 0.497114i | \(-0.834393\pi\) |
0.864356 | + | 0.502880i | \(0.167726\pi\) | |||||||
\(564\) | −1.11723e14 | + | 1.93510e14i | −0.0824341 | + | 0.142780i | ||||
\(565\) | 1.90149e14 | + | 3.29349e14i | 0.138940 | + | 0.240652i | ||||
\(566\) | −3.14845e14 | −0.227828 | ||||||||
\(567\) | −4.46107e14 | − | 4.07859e14i | −0.319693 | − | 0.292283i | ||||
\(568\) | 7.90962e14 | 0.561358 | ||||||||
\(569\) | −2.96486e14 | − | 5.13529e14i | −0.208395 | − | 0.360951i | 0.742814 | − | 0.669498i | \(-0.233491\pi\) |
−0.951209 | + | 0.308547i | \(0.900157\pi\) | |||||||
\(570\) | 3.63333e14 | − | 6.29312e14i | 0.252926 | − | 0.438081i | ||||
\(571\) | 4.72801e14 | − | 8.18916e14i | 0.325972 | − | 0.564600i | −0.655737 | − | 0.754990i | \(-0.727642\pi\) |
0.981709 | + | 0.190390i | \(0.0609752\pi\) | |||||||
\(572\) | 5.78248e14 | + | 1.00156e15i | 0.394854 | + | 0.683907i | ||||
\(573\) | 3.74871e13 | 0.0253531 | ||||||||
\(574\) | −2.36744e14 | + | 7.49382e13i | −0.158586 | + | 0.0501981i | ||||
\(575\) | 2.17454e14 | 0.144276 | ||||||||
\(576\) | 7.58338e13 | + | 1.31348e14i | 0.0498356 | + | 0.0863177i | ||||
\(577\) | 5.38223e14 | − | 9.32230e14i | 0.350345 | − | 0.606815i | −0.635965 | − | 0.771718i | \(-0.719398\pi\) |
0.986310 | + | 0.164903i | \(0.0527311\pi\) | |||||||
\(578\) | −1.53711e14 | + | 2.66236e14i | −0.0991065 | + | 0.171658i | ||||
\(579\) | −2.55483e14 | − | 4.42510e14i | −0.163166 | − | 0.282612i | ||||
\(580\) | −5.08544e13 | −0.0321717 | ||||||||
\(581\) | 2.72673e13 | − | 1.23653e14i | 0.0170873 | − | 0.0774885i | ||||
\(582\) | −9.06733e14 | −0.562863 | ||||||||
\(583\) | 2.93012e14 | + | 5.07512e14i | 0.180181 | + | 0.312082i | ||||
\(584\) | 2.68156e14 | − | 4.64460e14i | 0.163349 | − | 0.282929i | ||||
\(585\) | 5.56862e14 | − | 9.64513e14i | 0.336039 | − | 0.582037i | ||||
\(586\) | 8.28737e14 | + | 1.43541e15i | 0.495427 | + | 0.858105i | ||||
\(587\) | 2.51031e15 | 1.48668 | 0.743341 | − | 0.668913i | \(-0.233240\pi\) | ||||
0.743341 | + | 0.668913i | \(0.233240\pi\) | |||||||
\(588\) | 3.42946e13 | + | 3.82081e14i | 0.0201211 | + | 0.224172i | ||||
\(589\) | −2.12272e15 | −1.23384 | ||||||||
\(590\) | 2.86723e14 | + | 4.96619e14i | 0.165111 | + | 0.285981i | ||||
\(591\) | 3.84271e13 | − | 6.65578e13i | 0.0219234 | − | 0.0379724i | ||||
\(592\) | 9.96466e13 | − | 1.72593e14i | 0.0563239 | − | 0.0975559i | ||||
\(593\) | 1.71917e14 | + | 2.97769e14i | 0.0962759 | + | 0.166755i | 0.910140 | − | 0.414300i | \(-0.135974\pi\) |
−0.813864 | + | 0.581055i | \(0.802640\pi\) | |||||||
\(594\) | 1.77578e15 | 0.985289 | ||||||||
\(595\) | 4.07362e14 | − | 1.84733e15i | 0.223943 | − | 1.01555i | ||||
\(596\) | −1.60050e15 | −0.871767 | ||||||||
\(597\) | −4.39090e14 | − | 7.60527e14i | −0.236971 | − | 0.410446i | ||||
\(598\) | 5.63332e14 | − | 9.75719e14i | 0.301237 | − | 0.521757i | ||||
\(599\) | 2.09235e14 | − | 3.62406e14i | 0.110863 | − | 0.192021i | −0.805255 | − | 0.592928i | \(-0.797972\pi\) |
0.916119 | + | 0.400907i | \(0.131305\pi\) | |||||||
\(600\) | 2.35375e13 | + | 4.07681e13i | 0.0123574 | + | 0.0214037i | ||||
\(601\) | −2.71202e15 | −1.41086 | −0.705429 | − | 0.708780i | \(-0.749246\pi\) | ||||
−0.705429 | + | 0.708780i | \(0.749246\pi\) | |||||||
\(602\) | 2.48477e15 | − | 7.86521e14i | 1.28087 | − | 0.405443i | ||||
\(603\) | 9.01614e14 | 0.460549 | ||||||||
\(604\) | 3.04786e14 | + | 5.27905e14i | 0.154274 | + | 0.267210i | ||||
\(605\) | −1.80123e15 | + | 3.11983e15i | −0.903473 | + | 1.56486i | ||||
\(606\) | −4.67839e14 | + | 8.10321e14i | −0.232540 | + | 0.402771i | ||||
\(607\) | −1.53605e15 | − | 2.66052e15i | −0.756604 | − | 1.31048i | −0.944573 | − | 0.328301i | \(-0.893524\pi\) |
0.187970 | − | 0.982175i | \(-0.439809\pi\) | |||||||
\(608\) | −6.26220e14 | −0.305673 | ||||||||
\(609\) | 4.80815e13 | + | 4.39591e13i | 0.0232585 | + | 0.0212644i | ||||
\(610\) | −1.06882e15 | −0.512377 | ||||||||
\(611\) | −7.06998e14 | − | 1.22456e15i | −0.335886 | − | 0.581772i | ||||
\(612\) | −4.79061e14 | + | 8.29758e14i | −0.225558 | + | 0.390678i | ||||
\(613\) | −1.68579e15 | + | 2.91987e15i | −0.786630 | + | 1.36248i | 0.141391 | + | 0.989954i | \(0.454843\pi\) |
−0.928021 | + | 0.372529i | \(0.878491\pi\) | |||||||
\(614\) | −6.62368e14 | − | 1.14725e15i | −0.306318 | − | 0.530559i | ||||
\(615\) | −2.12341e14 | −0.0973240 | ||||||||
\(616\) | 9.89272e14 | + | 9.04454e14i | 0.449388 | + | 0.410859i | ||||
\(617\) | 8.02774e14 | 0.361430 | 0.180715 | − | 0.983535i | \(-0.442159\pi\) | ||||
0.180715 | + | 0.983535i | \(0.442159\pi\) | |||||||
\(618\) | 4.36537e13 | + | 7.56104e13i | 0.0194798 | + | 0.0337400i | ||||
\(619\) | −1.28592e14 | + | 2.22729e14i | −0.0568744 | + | 0.0985094i | −0.893061 | − | 0.449936i | \(-0.851447\pi\) |
0.836186 | + | 0.548445i | \(0.184780\pi\) | |||||||
\(620\) | −3.74001e14 | + | 6.47789e14i | −0.163953 | + | 0.283974i | ||||
\(621\) | −8.64986e14 | − | 1.49820e15i | −0.375842 | − | 0.650977i | ||||
\(622\) | 7.65843e14 | 0.329832 | ||||||||
\(623\) | −1.14641e15 | + | 3.62882e14i | −0.489393 | + | 0.154911i | ||||
\(624\) | 2.43902e14 | 0.103205 | ||||||||
\(625\) | 9.78222e14 | + | 1.69433e15i | 0.410296 | + | 0.710653i | ||||
\(626\) | −9.62540e14 | + | 1.66717e15i | −0.400184 | + | 0.693139i | ||||
\(627\) | −1.62636e15 | + | 2.81693e15i | −0.670261 | + | 1.16093i | ||||
\(628\) | −2.44164e14 | − | 4.22905e14i | −0.0997480 | − | 0.172769i | ||||
\(629\) | 1.25898e15 | 0.509849 | ||||||||
\(630\) | 2.77969e14 | − | 1.26055e15i | 0.111590 | − | 0.506043i | ||||
\(631\) | −1.73873e15 | −0.691944 | −0.345972 | − | 0.938245i | \(-0.612451\pi\) | ||||
−0.345972 | + | 0.938245i | \(0.612451\pi\) | |||||||
\(632\) | 6.27294e13 | + | 1.08650e14i | 0.0247473 | + | 0.0428635i | ||||
\(633\) | −8.59628e14 | + | 1.48892e15i | −0.336194 | + | 0.582305i | ||||
\(634\) | −9.70538e14 | + | 1.68102e15i | −0.376289 | + | 0.651752i | ||||
\(635\) | −9.82649e14 | − | 1.70200e15i | −0.377697 | − | 0.654190i | ||||
\(636\) | 1.23591e14 | 0.0470948 | ||||||||
\(637\) | −2.20244e15 | − | 1.02099e15i | −0.832028 | − | 0.385703i | ||||
\(638\) | 2.27635e14 | 0.0852560 | ||||||||
\(639\) | 1.70478e15 | + | 2.95277e15i | 0.633015 | + | 1.09641i | ||||
\(640\) | −1.10334e14 | + | 1.91104e14i | −0.0406180 | + | 0.0703524i | ||||
\(641\) | 2.27353e15 | − | 3.93787e15i | 0.829816 | − | 1.43728i | −0.0683658 | − | 0.997660i | \(-0.521778\pi\) |
0.898182 | − | 0.439624i | \(-0.144888\pi\) | |||||||
\(642\) | −2.36109e14 | − | 4.08952e14i | −0.0854415 | − | 0.147989i | ||||
\(643\) | 4.06907e15 | 1.45994 | 0.729970 | − | 0.683479i | \(-0.239534\pi\) | ||||
0.729970 | + | 0.683479i | \(0.239534\pi\) | |||||||
\(644\) | 2.81199e14 | − | 1.27520e15i | 0.100032 | − | 0.453633i | ||||
\(645\) | 2.22864e15 | 0.786072 | ||||||||
\(646\) | −1.97799e15 | − | 3.42598e15i | −0.691745 | − | 1.19814i | ||||
\(647\) | −1.33528e15 | + | 2.31278e15i | −0.463019 | + | 0.801973i | −0.999110 | − | 0.0421874i | \(-0.986567\pi\) |
0.536090 | + | 0.844161i | \(0.319901\pi\) | |||||||
\(648\) | −2.22711e14 | + | 3.85747e14i | −0.0765736 | + | 0.132629i | ||||
\(649\) | −1.28343e15 | − | 2.22297e15i | −0.437549 | − | 0.757857i | ||||
\(650\) | −2.97897e14 | −0.100703 | ||||||||
\(651\) | 9.13564e14 | − | 2.89177e14i | 0.306227 | − | 0.0969321i | ||||
\(652\) | 3.53910e14 | 0.117634 | ||||||||
\(653\) | 2.57274e14 | + | 4.45612e14i | 0.0847958 | + | 0.146871i | 0.905304 | − | 0.424764i | \(-0.139643\pi\) |
−0.820508 | + | 0.571634i | \(0.806310\pi\) | |||||||
\(654\) | 9.07959e14 | − | 1.57263e15i | 0.296748 | − | 0.513983i | ||||
\(655\) | 5.47497e14 | − | 9.48292e14i | 0.177441 | − | 0.307337i | ||||
\(656\) | 9.14944e13 | + | 1.58473e14i | 0.0294052 | + | 0.0509312i | ||||
\(657\) | 2.31186e15 | 0.736803 | ||||||||
\(658\) | −1.20954e15 | − | 1.10584e15i | −0.382276 | − | 0.349501i | ||||
\(659\) | −2.08293e15 | −0.652837 | −0.326418 | − | 0.945225i | \(-0.605842\pi\) | ||||
−0.326418 | + | 0.945225i | \(0.605842\pi\) | |||||||
\(660\) | 5.73095e14 | + | 9.92629e14i | 0.178129 | + | 0.308529i | ||||
\(661\) | 1.95045e15 | − | 3.37828e15i | 0.601211 | − | 1.04133i | −0.391427 | − | 0.920209i | \(-0.628019\pi\) |
0.992638 | − | 0.121118i | \(-0.0386481\pi\) | |||||||
\(662\) | 1.37176e14 | − | 2.37595e14i | 0.0419332 | − | 0.0726304i | ||||
\(663\) | 7.70396e14 | + | 1.33436e15i | 0.233555 | + | 0.404529i | ||||
\(664\) | −9.33098e13 | −0.0280545 | ||||||||
\(665\) | 3.93353e15 | + | 3.59628e15i | 1.17291 | + | 1.07235i | ||||
\(666\) | 8.59084e14 | 0.254055 | ||||||||
\(667\) | −1.10881e14 | − | 1.92052e14i | −0.0325212 | − | 0.0563283i | ||||
\(668\) | −7.98189e14 | + | 1.38250e15i | −0.232186 | + | 0.402157i | ||||
\(669\) | −1.56740e14 | + | 2.71482e14i | −0.0452206 | + | 0.0783245i | ||||
\(670\) | 6.55897e14 | + | 1.13605e15i | 0.187683 | + | 0.325076i | ||||
\(671\) | 4.78424e15 | 1.35781 | ||||||||
\(672\) | 2.69510e14 | − | 8.53097e13i | 0.0758653 | − | 0.0240141i | ||||
\(673\) | −2.72492e15 | −0.760801 | −0.380401 | − | 0.924822i | \(-0.624214\pi\) | ||||
−0.380401 | + | 0.924822i | \(0.624214\pi\) | |||||||
\(674\) | 5.65140e14 | + | 9.78851e14i | 0.156504 | + | 0.271074i | ||||
\(675\) | −2.28708e14 | + | 3.96134e14i | −0.0628218 | + | 0.108811i | ||||
\(676\) | 1.45861e14 | − | 2.52639e14i | 0.0397405 | − | 0.0688325i | ||||
\(677\) | −8.56558e13 | − | 1.48360e14i | −0.0231483 | − | 0.0400940i | 0.854219 | − | 0.519913i | \(-0.174036\pi\) |
−0.877368 | + | 0.479819i | \(0.840702\pi\) | |||||||
\(678\) | −3.59010e14 | −0.0962373 | ||||||||
\(679\) | 1.43210e15 | − | 6.49439e15i | 0.380795 | − | 1.72685i | ||||
\(680\) | −1.39401e15 | −0.367677 | ||||||||
\(681\) | −7.66080e14 | − | 1.32689e15i | −0.200431 | − | 0.347157i | ||||
\(682\) | 1.67411e15 | − | 2.89964e15i | 0.434479 | − | 0.752540i | ||||
\(683\) | −1.58951e15 | + | 2.75311e15i | −0.409213 | + | 0.708778i | −0.994802 | − | 0.101830i | \(-0.967530\pi\) |
0.585588 | + | 0.810608i | \(0.300863\pi\) | |||||||
\(684\) | −1.34971e15 | − | 2.33776e15i | −0.344692 | − | 0.597025i | ||||
\(685\) | 9.02941e14 | 0.228750 | ||||||||
\(686\) | −2.79079e15 | − | 3.57832e14i | −0.701365 | − | 0.0899283i | ||||
\(687\) | −1.83580e15 | −0.457682 | ||||||||
\(688\) | −9.60290e14 | − | 1.66327e15i | −0.237501 | − | 0.411364i | ||||
\(689\) | −3.91051e14 | + | 6.77321e14i | −0.0959462 | + | 0.166184i | ||||
\(690\) | 5.58311e14 | − | 9.67023e14i | 0.135896 | − | 0.235379i | ||||
\(691\) | 2.45494e15 | + | 4.25208e15i | 0.592804 | + | 1.02677i | 0.993853 | + | 0.110710i | \(0.0353125\pi\) |
−0.401049 | + | 0.916057i | \(0.631354\pi\) | |||||||
\(692\) | 3.30998e15 | 0.792943 | ||||||||
\(693\) | −1.24425e15 | + | 5.64248e15i | −0.295715 | + | 1.34103i | ||||
\(694\) | −1.72552e15 | −0.406857 | ||||||||
\(695\) | 1.75425e15 | + | 3.03845e15i | 0.410369 | + | 0.710781i | ||||
\(696\) | 2.40038e13 | − | 4.15758e13i | 0.00557095 | − | 0.00964917i | ||||
\(697\) | −5.77993e14 | + | 1.00111e15i | −0.133089 | + | 0.230517i | ||||
\(698\) | 1.30385e15 | + | 2.25834e15i | 0.297868 | + | 0.515922i | ||||
\(699\) | 5.95272e14 | 0.134925 | ||||||||
\(700\) | −3.29173e14 | + | 1.04195e14i | −0.0740262 | + | 0.0234320i | ||||
\(701\) | 7.97470e15 | 1.77937 | 0.889683 | − | 0.456579i | \(-0.150925\pi\) | ||||
0.889683 | + | 0.456579i | \(0.150925\pi\) | |||||||
\(702\) | 1.18497e15 | + | 2.05243e15i | 0.262333 | + | 0.454374i | ||||
\(703\) | −1.77353e15 | + | 3.07185e15i | −0.389570 | + | 0.674755i | ||||
\(704\) | 4.93876e14 | − | 8.55419e14i | 0.107639 | − | 0.186436i | ||||
\(705\) | −7.00697e14 | − | 1.21364e15i | −0.151527 | − | 0.262453i | ||||
\(706\) | −4.58307e15 | −0.983401 | ||||||||
\(707\) | −5.06494e15 | − | 4.63068e15i | −1.07837 | − | 0.985913i | ||||
\(708\) | −5.41345e14 | −0.114365 | ||||||||
\(709\) | −1.21378e15 | − | 2.10232e15i | −0.254439 | − | 0.440702i | 0.710304 | − | 0.703895i | \(-0.248558\pi\) |
−0.964743 | + | 0.263193i | \(0.915224\pi\) | |||||||
\(710\) | −2.48036e15 | + | 4.29610e15i | −0.515933 | + | 0.893622i | ||||
\(711\) | −2.70405e14 | + | 4.68355e14i | −0.0558125 | + | 0.0966700i | ||||
\(712\) | 4.43055e14 | + | 7.67393e14i | 0.0907439 | + | 0.157173i | ||||
\(713\) | −3.26184e15 | −0.662934 | ||||||||
\(714\) | 1.31800e15 | + | 1.20500e15i | 0.265812 | + | 0.243022i | ||||
\(715\) | −7.25325e15 | −1.45161 | ||||||||
\(716\) | −1.18520e15 | − | 2.05283e15i | −0.235381 | − | 0.407692i | ||||
\(717\) | 9.48502e14 | − | 1.64285e15i | 0.186932 | − | 0.323775i | ||||
\(718\) | 8.77539e13 | − | 1.51994e14i | 0.0171625 | − | 0.0297264i | ||||
\(719\) | −2.73336e15 | − | 4.73432e15i | −0.530503 | − | 0.918858i | −0.999367 | − | 0.0355876i | \(-0.988670\pi\) |
0.468864 | − | 0.883271i | \(-0.344664\pi\) | |||||||
\(720\) | −9.51221e14 | −0.183211 | ||||||||
\(721\) | −6.10499e14 | + | 1.93245e14i | −0.116692 | + | 0.0369373i | ||||
\(722\) | 7.41793e15 | 1.40711 | ||||||||
\(723\) | 2.16223e14 | + | 3.74510e14i | 0.0407045 | + | 0.0705022i | ||||
\(724\) | 8.11722e14 | − | 1.40594e15i | 0.151651 | − | 0.262667i | ||||
\(725\) | −2.93177e13 | + | 5.07798e13i | −0.00543590 | + | 0.00941525i | ||||
\(726\) | −1.70040e15 | − | 2.94518e15i | −0.312896 | − | 0.541952i | ||||
\(727\) | −1.05534e16 | −1.92731 | −0.963654 | − | 0.267153i | \(-0.913917\pi\) | ||||
−0.963654 | + | 0.267153i | \(0.913917\pi\) | |||||||
\(728\) | −3.85222e14 | + | 1.74693e15i | −0.0698214 | + | 0.316630i | ||||
\(729\) | 1.04565e14 | 0.0188098 | ||||||||
\(730\) | 1.68181e15 | + | 2.91297e15i | 0.300262 | + | 0.520069i | ||||
\(731\) | 6.06638e15 | − | 1.05073e16i | 1.07494 | − | 1.86185i | ||||
\(732\) | 5.04493e14 | − | 8.73807e14i | 0.0887246 | − | 0.153676i | ||||
\(733\) | 4.24177e15 | + | 7.34696e15i | 0.740415 | + | 1.28244i | 0.952307 | + | 0.305143i | \(0.0987042\pi\) |
−0.211892 | + | 0.977293i | \(0.567962\pi\) | |||||||
\(734\) | 8.44526e14 | 0.146314 | ||||||||
\(735\) | −2.18281e15 | − | 1.01189e15i | −0.375350 | − | 0.174001i | ||||
\(736\) | −9.62272e14 | −0.164237 | ||||||||
\(737\) | −2.93593e15 | − | 5.08518e15i | −0.497364 | − | 0.861460i | ||||
\(738\) | −3.94401e14 | + | 6.83122e14i | −0.0663175 | + | 0.114865i | ||||
\(739\) | −5.39808e15 | + | 9.34976e15i | −0.900939 | + | 1.56047i | −0.0746607 | + | 0.997209i | \(0.523787\pi\) |
−0.826278 | + | 0.563263i | \(0.809546\pi\) | |||||||
\(740\) | 6.24958e14 | + | 1.08246e15i | 0.103532 | + | 0.179323i | ||||
\(741\) | −4.34104e15 | −0.713827 | ||||||||
\(742\) | −1.95201e14 | + | 8.85210e14i | −0.0318611 | + | 0.144486i | ||||
\(743\) | 3.53132e15 | 0.572135 | 0.286068 | − | 0.958209i | \(-0.407652\pi\) | ||||
0.286068 | + | 0.958209i | \(0.407652\pi\) | |||||||
\(744\) | −3.53065e14 | − | 6.11527e14i | −0.0567811 | − | 0.0983477i | ||||
\(745\) | 5.01896e15 | − | 8.69309e15i | 0.801224 | − | 1.38776i | ||||
\(746\) | −1.68058e15 | + | 2.91086e15i | −0.266316 | + | 0.461272i | ||||
\(747\) | −2.01113e14 | − | 3.48338e14i | −0.0316357 | − | 0.0547946i | ||||
\(748\) | 6.23987e15 | 0.974354 | ||||||||
\(749\) | 3.30199e15 | − | 1.04520e15i | 0.511830 | − | 0.162013i | ||||
\(750\) | −2.19644e15 | −0.337974 | ||||||||
\(751\) | 8.66581e14 | + | 1.50096e15i | 0.132370 | + | 0.229271i | 0.924590 | − | 0.380964i | \(-0.124408\pi\) |
−0.792220 | + | 0.610236i | \(0.791075\pi\) | |||||||
\(752\) | −6.03840e14 | + | 1.04588e15i | −0.0915638 | + | 0.158593i | ||||
\(753\) | 2.44673e15 | − | 4.23787e15i | 0.368311 | − | 0.637933i | ||||
\(754\) | 1.51900e14 | + | 2.63098e14i | 0.0226994 | + | 0.0393165i | ||||
\(755\) | −3.82308e15 | −0.567160 | ||||||||
\(756\) | 2.02726e15 | + | 1.85344e15i | 0.298565 | + | 0.272967i | ||||
\(757\) | 1.67724e15 | 0.245227 | 0.122613 | − | 0.992455i | \(-0.460872\pi\) | ||||
0.122613 | + | 0.992455i | \(0.460872\pi\) | |||||||
\(758\) | 4.59132e15 | + | 7.95240e15i | 0.666433 | + | 1.15430i | ||||
\(759\) | −2.49912e15 | + | 4.32859e15i | −0.360128 | + | 0.623759i | ||||
\(760\) | 1.96375e15 | − | 3.40131e15i | 0.280938 | − | 0.486599i | ||||
\(761\) | 4.36642e15 | + | 7.56287e15i | 0.620169 | + | 1.07416i | 0.989454 | + | 0.144848i | \(0.0462695\pi\) |
−0.369285 | + | 0.929316i | \(0.620397\pi\) | |||||||
\(762\) | 1.85528e15 | 0.261612 | ||||||||
\(763\) | 9.82978e15 | + | 8.98700e15i | 1.37613 | + | 1.25814i | ||||
\(764\) | 2.02610e14 | 0.0281610 | ||||||||
\(765\) | −3.00455e15 | − | 5.20403e15i | −0.414611 | − | 0.718128i | ||||
\(766\) | 3.71237e14 | − | 6.43002e14i | 0.0508620 | − | 0.0880956i | ||||
\(767\) | 1.71286e15 | − | 2.96675e15i | 0.232995 | − | 0.403559i | ||||
\(768\) | −1.04157e14 | − | 1.80406e14i | −0.0140671 | − | 0.0243648i | ||||
\(769\) | −7.06294e15 | −0.947089 | −0.473545 | − | 0.880770i | \(-0.657026\pi\) | ||||
−0.473545 | + | 0.880770i | \(0.657026\pi\) | |||||||
\(770\) | −8.01476e15 | + | 2.53697e15i | −1.06707 | + | 0.337766i | ||||
\(771\) | 5.66893e15 | 0.749379 | ||||||||
\(772\) | −1.38084e15 | − | 2.39168e15i | −0.181237 | − | 0.313912i | ||||
\(773\) | −1.49405e15 | + | 2.58777e15i | −0.194705 | + | 0.337240i | −0.946804 | − | 0.321811i | \(-0.895708\pi\) |
0.752098 | + | 0.659051i | \(0.229042\pi\) | |||||||
\(774\) | 4.13948e15 | − | 7.16978e15i | 0.535636 | − | 0.927749i | ||||
\(775\) | 4.31226e14 | + | 7.46905e14i | 0.0554046 | + | 0.0959635i | ||||
\(776\) | −4.90071e15 | −0.625201 | ||||||||
\(777\) | 3.44808e14 | − | 1.56366e15i | 0.0436779 | − | 0.198073i | ||||
\(778\) | 4.62278e15 | 0.581454 | ||||||||
\(779\) | −1.62844e15 | − | 2.82054e15i | −0.203384 | − | 0.352271i | ||||
\(780\) | −7.64847e14 | + | 1.32475e15i | −0.0948537 | + | 0.164291i | ||||
\(781\) | 1.11026e16 | − | 1.92302e16i | 1.36724 | − | 2.36812i | ||||
\(782\) | −3.03945e15 | − | 5.26449e15i | −0.371671 | − | 0.643753i | ||||
\(783\) | 4.66478e14 | 0.0566424 | ||||||||
\(784\) | 1.85356e14 | + | 2.06508e15i | 0.0223495 | + | 0.248999i | ||||
\(785\) | 3.06267e15 | 0.366706 | ||||||||
\(786\) | 5.16848e14 | + | 8.95208e14i | 0.0614524 | + | 0.106439i | ||||
\(787\) | −2.54070e15 | + | 4.40061e15i | −0.299980 | + | 0.519580i | −0.976131 | − | 0.217183i | \(-0.930313\pi\) |
0.676151 | + | 0.736763i | \(0.263647\pi\) | |||||||
\(788\) | 2.07691e14 | − | 3.59732e14i | 0.0243514 | − | 0.0421779i | ||||
\(789\) | 3.43574e15 | + | 5.95088e15i | 0.400034 | + | 0.692880i | ||||
\(790\) | −7.86845e14 | −0.0909788 | ||||||||
\(791\) | 5.67025e14 | − | 2.57138e15i | 0.0651076 | − | 0.295253i | ||||
\(792\) | 4.25786e15 | 0.485515 | ||||||||
\(793\) | 3.19250e15 | + | 5.52958e15i | 0.361517 | + | 0.626166i | ||||
\(794\) | 2.75212e15 | − | 4.76681e15i | 0.309496 | − | 0.536062i | ||||
\(795\) | −3.87566e14 | + | 6.71284e14i | −0.0432839 | + | 0.0749699i | ||||
\(796\) | −2.37320e15 | − | 4.11050e15i | −0.263216 | − | 0.455903i | ||||
\(797\) | −7.63893e15 | −0.841418 | −0.420709 | − | 0.907196i | \(-0.638219\pi\) | ||||
−0.420709 | + | 0.907196i | \(0.638219\pi\) | |||||||
\(798\) | −4.79680e15 | + | 1.51836e15i | −0.524730 | + | 0.166096i | ||||
\(799\) | −7.62921e15 | −0.828843 | ||||||||
\(800\) | 1.27216e14 | + | 2.20344e14i | 0.0137260 | + | 0.0237742i | ||||
\(801\) | −1.90986e15 | + | 3.30797e15i | −0.204655 | + | 0.354472i | ||||
\(802\) | 1.31312e15 | − | 2.27439e15i | 0.139748 | − | 0.242050i | ||||
\(803\) | −7.52811e15 | − | 1.30391e16i | −0.795702 | − | 1.37820i | ||||
\(804\) | −1.23836e15 | −0.129999 | ||||||||
\(805\) | 6.04441e15 | + | 5.52618e15i | 0.630197 | + | 0.576166i | ||||
\(806\) | 4.46849e15 | 0.462720 | ||||||||
\(807\) | 1.81257e15 | + | 3.13947e15i | 0.186420 | + | 0.322888i | ||||
\(808\) | −2.52858e15 | + | 4.37963e15i | −0.258294 | + | 0.447378i | ||||
\(809\) | −2.04828e15 | + | 3.54772e15i | −0.207813 | + | 0.359942i | −0.951025 | − | 0.309113i | \(-0.899968\pi\) |
0.743213 | + | 0.669055i | \(0.233301\pi\) | |||||||
\(810\) | −1.39679e15 | − | 2.41931e15i | −0.140755 | − | 0.243794i | ||||
\(811\) | 1.20914e16 | 1.21021 | 0.605105 | − | 0.796145i | \(-0.293131\pi\) | ||||
0.605105 | + | 0.796145i | \(0.293131\pi\) | |||||||
\(812\) | 2.59871e14 | + | 2.37590e14i | 0.0258345 | + | 0.0236195i | ||||
\(813\) | −6.58187e15 | −0.649907 | ||||||||
\(814\) | −2.79744e15 | − | 4.84531e15i | −0.274364 | − | 0.475212i | ||||
\(815\) | −1.10982e15 | + | 1.92226e15i | −0.108115 | + | 0.187260i | ||||
\(816\) | 6.57987e14 | − | 1.13967e15i | 0.0636681 | − | 0.110276i | ||||
\(817\) | 1.70915e16 | + | 2.96033e16i | 1.64270 | + | 2.84524i | ||||
\(818\) | −1.22241e16 | −1.16700 | ||||||||
\(819\) | −7.35180e15 | + | 2.32711e15i | −0.697160 | + | 0.220677i | ||||
\(820\) | −1.14766e15 | −0.108103 | ||||||||
\(821\) | −4.81637e15 | − | 8.34220e15i | −0.450643 | − | 0.780537i | 0.547783 | − | 0.836620i | \(-0.315472\pi\) |
−0.998426 | + | 0.0560838i | \(0.982139\pi\) | |||||||
\(822\) | −4.26198e14 | + | 7.38196e14i | −0.0396110 | + | 0.0686083i | ||||
\(823\) | −2.97912e15 | + | 5.15999e15i | −0.275036 | + | 0.476376i | −0.970144 | − | 0.242529i | \(-0.922023\pi\) |
0.695108 | + | 0.718905i | \(0.255356\pi\) | |||||||
\(824\) | 2.35940e14 | + | 4.08659e14i | 0.0216372 | + | 0.0374767i | ||||
\(825\) | 1.32156e15 | 0.120390 | ||||||||
\(826\) | 8.55007e14 | − | 3.87733e15i | 0.0773712 | − | 0.350867i | ||||
\(827\) | −1.53388e16 | −1.37883 | −0.689415 | − | 0.724367i | \(-0.742132\pi\) | ||||
−0.689415 | + | 0.724367i | \(0.742132\pi\) | |||||||
\(828\) | −2.07401e15 | − | 3.59229e15i | −0.185201 | − | 0.320778i | ||||
\(829\) | 8.78948e15 | − | 1.52238e16i | 0.779674 | − | 1.35043i | −0.152456 | − | 0.988310i | \(-0.548718\pi\) |
0.932130 | − | 0.362125i | \(-0.117949\pi\) | |||||||
\(830\) | 2.92608e14 | − | 5.06811e14i | 0.0257843 | − | 0.0446598i | ||||
\(831\) | −6.32980e14 | − | 1.09635e15i | −0.0554095 | − | 0.0959721i | ||||
\(832\) | 1.31824e15 | 0.114635 | ||||||||
\(833\) | −1.07123e16 | + | 7.53686e15i | −0.925416 | + | 0.651092i | ||||
\(834\) | −3.31210e15 | −0.284243 | ||||||||
\(835\) | −5.00604e15 | − | 8.67071e15i | −0.426794 | − | 0.739229i | ||||
\(836\) | −8.79013e15 | + | 1.52250e16i | −0.744493 | + | 1.28950i | ||||
\(837\) | 3.43064e15 | − | 5.94205e15i | 0.288659 | − | 0.499973i | ||||
\(838\) | 7.94129e14 | + | 1.37547e15i | 0.0663818 | + | 0.114977i | ||||
\(839\) | 1.13877e16 | 0.945686 | 0.472843 | − | 0.881147i | \(-0.343228\pi\) | ||||
0.472843 | + | 0.881147i | \(0.343228\pi\) | |||||||
\(840\) | −3.81789e14 | + | 1.73136e15i | −0.0314983 | + | 0.142840i | ||||
\(841\) | −1.21407e16 | −0.995099 | ||||||||
\(842\) | −2.57362e15 | − | 4.45765e15i | −0.209570 | − | 0.362985i | ||||
\(843\) | −1.17728e15 | + | 2.03911e15i | −0.0952419 | + | 0.164964i | ||||
\(844\) | −4.64612e15 | + | 8.04732e15i | −0.373428 | + | 0.646796i | ||||
\(845\) | 9.14805e14 | + | 1.58449e15i | 0.0730494 | + | 0.126525i | ||||
\(846\) | −5.20589e15 | −0.413008 | ||||||||
\(847\) | 2.37802e16 | − | 7.52731e15i | 1.87438 | − | 0.593309i | ||||
\(848\) | 6.67986e14 | 0.0523107 | ||||||||
\(849\) | 9.32046e14 | + | 1.61435e15i | 0.0725178 | + | 0.125605i | ||||
\(850\) | −8.03652e14 | + | 1.39197e15i | −0.0621246 | + | 0.107603i | ||||
\(851\) | −2.72528e15 | + | 4.72032e15i | −0.209314 | + | 0.362542i | ||||
\(852\) | −2.34151e15 | − | 4.05561e15i | −0.178681 | − | 0.309484i | ||||
\(853\) | −2.57274e16 | −1.95063 | −0.975317 | − | 0.220809i | \(-0.929130\pi\) | ||||
−0.975317 | + | 0.220809i | \(0.929130\pi\) | |||||||
\(854\) | 5.46176e15 | + | 4.99348e15i | 0.411447 | + | 0.376171i | ||||
\(855\) | 1.69301e16 | 1.26720 | ||||||||
\(856\) | −1.27612e15 | − | 2.21031e15i | −0.0949043 | − | 0.164379i | ||||
\(857\) | −2.79940e15 | + | 4.84870e15i | −0.206857 | + | 0.358287i | −0.950723 | − | 0.310042i | \(-0.899657\pi\) |
0.743866 | + | 0.668329i | \(0.232990\pi\) | |||||||
\(858\) | 3.42361e15 | − | 5.92987e15i | 0.251365 | − | 0.435377i | ||||
\(859\) | 4.87649e15 | + | 8.44633e15i | 0.355750 | + | 0.616177i | 0.987246 | − | 0.159202i | \(-0.0508921\pi\) |
−0.631496 | + | 0.775379i | \(0.717559\pi\) | |||||||
\(860\) | 1.20454e16 | 0.873130 | ||||||||
\(861\) | 1.08508e15 | + | 9.92049e14i | 0.0781529 | + | 0.0714523i | ||||
\(862\) | 1.95069e16 | 1.39604 | ||||||||
\(863\) | 5.29000e15 | + | 9.16255e15i | 0.376181 | + | 0.651564i | 0.990503 | − | 0.137491i | \(-0.0439039\pi\) |
−0.614322 | + | 0.789055i | \(0.710571\pi\) | |||||||
\(864\) | 1.01207e15 | − | 1.75296e15i | 0.0715131 | − | 0.123864i | ||||
\(865\) | −1.03797e16 | + | 1.79781e16i | −0.728777 | + | 1.26228i | ||||
\(866\) | −6.05730e15 | − | 1.04916e16i | −0.422601 | − | 0.731967i | ||||
\(867\) | 1.82014e15 | 0.126183 | ||||||||
\(868\) | 4.93764e15 | − | 1.56294e15i | 0.340142 | − | 0.107667i | ||||
\(869\) | 3.52208e15 | 0.241096 | ||||||||
\(870\) | 1.50546e14 | + | 2.60753e14i | 0.0102403 | + | 0.0177367i | ||||
\(871\) | 3.91827e15 | − | 6.78663e15i | 0.264846 | − | 0.458727i | ||||
\(872\) | 4.90734e15 | − | 8.49976e15i | 0.329614 | − | 0.570908i | ||||
\(873\) | −1.05626e16 | − | 1.82950e16i | −0.705008 | − | 1.22111i | ||||
\(874\) | 1.71268e16 | 1.13596 | ||||||||
\(875\) | 3.46909e15 | − | 1.57318e16i | 0.228650 | − | 1.03689i | ||||
\(876\) | −3.17532e15 | −0.207977 | ||||||||
\(877\) | −1.28107e16 | − | 2.21888e16i | −0.833827 | − | 1.44423i | −0.894982 | − | 0.446103i | \(-0.852811\pi\) |
0.0611543 | − | 0.998128i | \(-0.480522\pi\) | |||||||
\(878\) | 3.58647e15 | − | 6.21195e15i | 0.231978 | − | 0.401798i | ||||
\(879\) | 4.90667e15 | − | 8.49860e15i | 0.315390 | − | 0.546272i | ||||
\(880\) | 3.09746e15 | + | 5.36497e15i | 0.197857 | + | 0.342699i | ||||
\(881\) | 2.49348e16 | 1.58285 | 0.791423 | − | 0.611269i | \(-0.209341\pi\) | ||||
0.791423 | + | 0.611269i | \(0.209341\pi\) | |||||||
\(882\) | −7.30970e15 | + | 5.14287e15i | −0.461129 | + | 0.324436i | ||||
\(883\) | 6.87816e15 | 0.431210 | 0.215605 | − | 0.976481i | \(-0.430828\pi\) | ||||
0.215605 | + | 0.976481i | \(0.430828\pi\) | |||||||
\(884\) | 4.16384e15 | + | 7.21198e15i | 0.259422 | + | 0.449332i | ||||
\(885\) | 1.69759e15 | − | 2.94031e15i | 0.105110 | − | 0.182056i | ||||
\(886\) | −8.04024e15 | + | 1.39261e16i | −0.494747 | + | 0.856927i | ||||
\(887\) | −8.34833e15 | − | 1.44597e16i | −0.510528 | − | 0.884261i | −0.999926 | − | 0.0121997i | \(-0.996117\pi\) |
0.489398 | − | 0.872061i | \(-0.337217\pi\) | |||||||
\(888\) | −1.17995e15 | −0.0717119 | ||||||||
\(889\) | −2.93026e15 | + | 1.32883e16i | −0.176989 | + | 0.802619i | ||||
\(890\) | −5.55745e15 | −0.333604 | ||||||||
\(891\) | 6.25230e15 | + | 1.08293e16i | 0.373003 | + | 0.646061i | ||||
\(892\) | −8.47150e14 | + | 1.46731e15i | −0.0502289 | + | 0.0869990i | ||||
\(893\) | 1.07473e16 | − | 1.86149e16i | 0.633310 | − | 1.09693i | ||||
\(894\) | 4.73800e15 | + | 8.20646e15i | 0.277484 | + | 0.480617i | ||||
\(895\) | 1.48666e16 | 0.865335 | ||||||||
\(896\) | 1.45665e15 | − | 4.61082e14i | 0.0842675 | − | 0.0266738i | ||||
\(897\) | −6.67059e15 | −0.383536 | ||||||||
\(898\) | 4.88962e15 | + | 8.46907e15i | 0.279418 | + | 0.483967i | ||||
\(899\) | 4.39769e14 | − | 7.61703e14i | 0.0249774 | − | 0.0432621i | ||||
\(900\) | −5.48382e14 | + | 9.49826e14i | −0.0309563 | + | 0.0536179i | ||||
\(901\) | 2.10992e15 | + | 3.65448e15i | 0.118380 | + | 0.205040i | ||||
\(902\) | 5.13716e15 | 0.286475 | ||||||||
\(903\) | −1.13886e16 | − | 1.04122e16i | −0.631229 | − | 0.577109i | ||||
\(904\) | −1.94038e15 | −0.106896 | ||||||||
\(905\) | 5.09091e15 | + | 8.81772e15i | 0.278759 | + | 0.482824i | ||||
\(906\) | 1.80454e15 | − | 3.12555e15i | 0.0982111 | − | 0.170107i | ||||
\(907\) | −9.59275e15 | + | 1.66151e16i | −0.518923 | + | 0.898801i | 0.480835 | + | 0.876811i | \(0.340334\pi\) |
−0.999758 | + | 0.0219902i | \(0.993000\pi\) | |||||||
\(908\) | −4.14051e15 | − | 7.17158e15i | −0.222629 | − | 0.385605i | ||||
\(909\) | −2.17997e16 | −1.16506 | ||||||||
\(910\) | −8.28041e15 | − | 7.57047e15i | −0.439870 | − | 0.402157i | ||||
\(911\) | −3.08140e16 | −1.62704 | −0.813518 | − | 0.581539i | \(-0.802451\pi\) | ||||
−0.813518 | + | 0.581539i | \(0.802451\pi\) | |||||||
\(912\) | 1.85382e15 | + | 3.21091e15i | 0.0972961 | + | 0.168522i | ||||
\(913\) | −1.30977e15 | + | 2.26859e15i | −0.0683292 | + | 0.118350i | ||||
\(914\) | −9.58620e15 | + | 1.66038e16i | −0.497098 | + | 0.860999i | ||||
\(915\) | 3.16405e15 | + | 5.48030e15i | 0.163090 | + | 0.282480i | ||||
\(916\) | −9.92216e15 | −0.508372 | ||||||||
\(917\) | −7.22815e15 | + | 2.28798e15i | −0.368126 | + | 0.116525i | ||||
\(918\) | 1.27870e16 | 0.647342 | ||||||||
\(919\) | 4.09451e15 | + | 7.09191e15i | 0.206047 | + | 0.356885i | 0.950466 | − | 0.310829i | \(-0.100607\pi\) |
−0.744419 | + | 0.667713i | \(0.767273\pi\) | |||||||
\(920\) | 3.01756e15 | − | 5.22657e15i | 0.150947 | − | 0.261447i | ||||
\(921\) | −3.92165e15 | + | 6.79250e15i | −0.195003 | + | 0.337755i | ||||
\(922\) | 1.27196e15 | + | 2.20310e15i | 0.0628714 | + | 0.108897i | ||||
\(923\) | 2.96348e16 | 1.45611 | ||||||||
\(924\) | 1.70897e15 | − | 7.74992e15i | 0.0834714 | − | 0.378531i | ||||
\(925\) | 1.44116e15 | 0.0699734 | ||||||||
\(926\) | 1.02202e16 | + | 1.77019e16i | 0.493285 | + | 0.854394i | ||||
\(927\) | −1.01705e15 | + | 1.76159e15i | −0.0487984 | + | 0.0845213i | ||||
\(928\) | 1.29736e14 | − | 2.24709e14i | 0.00618794 | − | 0.0107178i | ||||
\(929\) | −1.03949e16 | − | 1.80044e16i | −0.492869 | − | 0.853675i | 0.507097 | − | 0.861889i | \(-0.330719\pi\) |
−0.999966 | + | 0.00821427i | \(0.997385\pi\) | |||||||
\(930\) | 4.42867e15 | 0.208745 | ||||||||
\(931\) | −3.29901e15 | − | 3.67547e16i | −0.154582 | − | 1.72223i | ||||
\(932\) | 3.21733e15 | 0.149868 | ||||||||
\(933\) | −2.26715e15 | − | 3.92681e15i | −0.104986 | − | 0.181841i | ||||
\(934\) | 2.01779e15 | − | 3.49491e15i | 0.0928896 | − | 0.160890i | ||||
\(935\) | −1.95674e16 | + | 3.38918e16i | −0.895509 | + | 1.55107i | ||||
\(936\) | 2.84125e15 | + | 4.92119e15i | 0.129268 | + | 0.223899i | ||||
\(937\) | −2.72964e16 | −1.23463 | −0.617316 | − | 0.786715i | \(-0.711780\pi\) | ||||
−0.617316 | + | 0.786715i | \(0.711780\pi\) | |||||||
\(938\) | 1.95588e15 | − | 8.86965e15i | 0.0879482 | − | 0.398833i | ||||
\(939\) | 1.13977e16 | 0.509516 | ||||||||
\(940\) | −3.78713e15 | − | 6.55950e15i | −0.168309 | − | 0.291520i | ||||
\(941\) | −1.22946e16 | + | 2.12949e16i | −0.543216 | + | 0.940877i | 0.455501 | + | 0.890235i | \(0.349460\pi\) |
−0.998717 | + | 0.0506418i | \(0.983873\pi\) | |||||||
\(942\) | −1.44561e15 | + | 2.50388e15i | −0.0634998 | + | 0.109985i | ||||
\(943\) | −2.50232e15 | − | 4.33415e15i | −0.109277 | − | 0.189273i | ||||
\(944\) | −2.92587e15 | −0.127031 | ||||||||
\(945\) | −1.64242e16 | + | 5.19885e15i | −0.708939 | + | 0.224405i | ||||
\(946\) | −5.39176e16 | −2.31382 | ||||||||
\(947\) | 1.15358e16 | + | 1.99805e16i | 0.492177 | + | 0.852476i | 0.999959 | − | 0.00900964i | \(-0.00286790\pi\) |
−0.507782 | + | 0.861485i | \(0.669535\pi\) | |||||||
\(948\) | 3.71399e14 | − | 6.43282e14i | 0.0157542 | − | 0.0272870i | ||||
\(949\) | 1.00469e16 | − | 1.74018e16i | 0.423711 | − | 0.733889i | ||||
\(950\) | −2.26421e15 | − | 3.92173e15i | −0.0949374 | − | 0.164436i | ||||
\(951\) | 1.14924e16 | 0.479093 | ||||||||
\(952\) | 7.12353e15 | + | 6.51277e15i | 0.295251 | + | 0.269937i | ||||
\(953\) | 2.40520e16 | 0.991152 | 0.495576 | − | 0.868565i | \(-0.334957\pi\) | ||||
0.495576 | + | 0.868565i | \(0.334957\pi\) | |||||||
\(954\) | 1.43973e15 | + | 2.49368e15i | 0.0589881 | + | 0.102170i | ||||
\(955\) | −6.35360e14 | + | 1.10048e15i | −0.0258822 | + | 0.0448293i | ||||
\(956\) | 5.12647e15 | − | 8.87930e15i | 0.207635 | − | 0.359634i | ||||
\(957\) | −6.73874e14 | − | 1.16718e15i | −0.0271371 | − | 0.0470028i | ||||
\(958\) | −9.28748e15 | −0.371867 | ||||||||
\(959\) | −4.61412e15 | − | 4.21851e15i | −0.183690 | − | 0.167941i | ||||
\(960\) | 1.30650e15 | 0.0517150 | ||||||||
\(961\) | 6.23580e15 | + | 1.08007e16i | 0.245422 | + | 0.425083i | ||||
\(962\) | 3.73344e15 | − | 6.46650e15i | 0.146098 | − | 0.253050i | ||||
\(963\) | 5.50091e15 | − | 9.52786e15i | 0.214038 | − | 0.370724i | ||||
\(964\) | 1.16865e15 | + | 2.02415e15i | 0.0452126 | + | 0.0783104i | ||||
\(965\) | 1.73205e16 | 0.666285 | ||||||||
\(966\) | −7.37093e15 | + | 2.33317e15i | −0.281934 | + | 0.0892426i | ||||
\(967\) | −2.90765e15 | −0.110585 | −0.0552925 | − | 0.998470i | \(-0.517609\pi\) | ||||
−0.0552925 | + | 0.998470i | \(0.517609\pi\) | |||||||
\(968\) | −9.19034e15 | − | 1.59181e16i | −0.347550 | − | 0.601974i | ||||
\(969\) | −1.17110e16 | + | 2.02841e16i | −0.440366 | + | 0.762737i | ||||
\(970\) | 1.53680e16 | − | 2.66182e16i | 0.574610 | − | 0.995254i | ||||
\(971\) | −1.36103e16 | − | 2.35738e16i | −0.506014 | − | 0.876442i | −0.999976 | − | 0.00695844i | \(-0.997785\pi\) |
0.493962 | − | 0.869484i | \(-0.335548\pi\) | |||||||
\(972\) | 1.35799e16 | 0.502033 | ||||||||
\(973\) | 5.23117e15 | − | 2.37226e16i | 0.192299 | − | 0.872050i | ||||
\(974\) | −2.26792e15 | −0.0828998 | ||||||||
\(975\) | 8.81874e14 | + | 1.52745e15i | 0.0320539 | + | 0.0555190i | ||||
\(976\) | 2.72669e15 | − | 4.72276e15i | 0.0985510 | − | 0.170695i | ||||
\(977\) | −7.59146e15 | + | 1.31488e16i | −0.272838 | + | 0.472569i | −0.969587 | − | 0.244745i | \(-0.921296\pi\) |
0.696749 | + | 0.717315i | \(0.254629\pi\) | |||||||
\(978\) | −1.04769e15 | − | 1.81465e15i | −0.0374429 | − | 0.0648530i | ||||
\(979\) | 2.48763e16 | 0.884058 | ||||||||
\(980\) | −1.17977e16 | − | 5.46905e15i | −0.416921 | − | 0.193272i | ||||
\(981\) | 4.23077e16 | 1.48676 | ||||||||
\(982\) | −2.43094e15 | − | 4.21051e15i | −0.0849494 | − | 0.147137i | ||||
\(983\) | 6.94527e15 | − | 1.20296e16i | 0.241349 | − | 0.418028i | −0.719750 | − | 0.694233i | \(-0.755744\pi\) |
0.961099 | + | 0.276205i | \(0.0890770\pi\) | |||||||
\(984\) | 5.41707e14 | − | 9.38265e14i | 0.0187194 | − | 0.0324229i | ||||
\(985\) | 1.30259e15 | + | 2.25614e15i | 0.0447618 | + | 0.0775296i | ||||
\(986\) | 1.63915e15 | 0.0560138 | ||||||||
\(987\) | −2.08948e15 | + | 9.47548e15i | −0.0710057 | + | 0.322001i | ||||
\(988\) | −2.34624e16 | −0.792885 | ||||||||
\(989\) | 2.62634e16 | + | 4.54895e16i | 0.882614 | + | 1.52873i | ||||
\(990\) | −1.33521e16 | + | 2.31265e16i | −0.446227 | + | 0.772888i | ||||
\(991\) | −1.94512e16 | + | 3.36905e16i | −0.646459 | + | 1.11970i | 0.337503 | + | 0.941324i | \(0.390418\pi\) |
−0.983962 | + | 0.178376i | \(0.942916\pi\) | |||||||
\(992\) | −1.90825e15 | − | 3.30518e15i | −0.0630697 | − | 0.109240i | ||||
\(993\) | −1.62434e15 | −0.0533895 | ||||||||
\(994\) | 3.27461e16 | − | 1.03654e16i | 1.07037 | − | 0.338812i | ||||
\(995\) | 2.97682e16 | 0.967665 | ||||||||
\(996\) | 2.76228e14 | + | 4.78440e14i | 0.00892978 | + | 0.0154668i | ||||
\(997\) | 1.80229e16 | − | 3.12166e16i | 0.579431 | − | 1.00360i | −0.416114 | − | 0.909312i | \(-0.636608\pi\) |
0.995545 | − | 0.0942909i | \(-0.0300584\pi\) | |||||||
\(998\) | −6.98224e15 | + | 1.20936e16i | −0.223243 | + | 0.386667i | ||||
\(999\) | −5.73262e15 | − | 9.92920e15i | −0.182282 | − | 0.315721i |
(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 | 14.12.c.a.11.2 | yes | 8 | |
3.2 | odd | 2 | 126.12.g.e.109.3 | 8 | |||
4.3 | odd | 2 | 112.12.i.a.81.3 | 8 | |||
7.2 | even | 3 | inner | 14.12.c.a.9.2 | ✓ | 8 | |
7.3 | odd | 6 | 98.12.a.l.1.2 | 4 | |||
7.4 | even | 3 | 98.12.a.j.1.3 | 4 | |||
7.5 | odd | 6 | 98.12.c.l.79.3 | 8 | |||
7.6 | odd | 2 | 98.12.c.l.67.3 | 8 | |||
21.2 | odd | 6 | 126.12.g.e.37.3 | 8 | |||
28.23 | odd | 6 | 112.12.i.a.65.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.12.c.a.9.2 | ✓ | 8 | 7.2 | even | 3 | inner | |
14.12.c.a.11.2 | yes | 8 | 1.1 | even | 1 | trivial | |
98.12.a.j.1.3 | 4 | 7.4 | even | 3 | |||
98.12.a.l.1.2 | 4 | 7.3 | odd | 6 | |||
98.12.c.l.67.3 | 8 | 7.6 | odd | 2 | |||
98.12.c.l.79.3 | 8 | 7.5 | odd | 6 | |||
112.12.i.a.65.3 | 8 | 28.23 | odd | 6 | |||
112.12.i.a.81.3 | 8 | 4.3 | odd | 2 | |||
126.12.g.e.37.3 | 8 | 21.2 | odd | 6 | |||
126.12.g.e.109.3 | 8 | 3.2 | odd | 2 |