Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,12,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), 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: | \(12.2934908890\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.6 | ||
Character | \(\chi\) | \(=\) | 16.13 |
Dual form | 16.12.e.a.5.6 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −31.4901 | − | 32.5019i | −0.695840 | − | 0.718196i | ||||
\(3\) | 219.312 | + | 219.312i | 0.521069 | + | 0.521069i | 0.917894 | − | 0.396825i | \(-0.129888\pi\) |
−0.396825 | + | 0.917894i | \(0.629888\pi\) | |||||||
\(4\) | −64.7420 | + | 2046.98i | −0.0316123 | + | 0.999500i | ||||
\(5\) | −4575.66 | + | 4575.66i | −0.654815 | + | 0.654815i | −0.954149 | − | 0.299333i | \(-0.903236\pi\) |
0.299333 | + | 0.954149i | \(0.403236\pi\) | |||||||
\(6\) | 221.882 | − | 14034.2i | 0.0116491 | − | 0.736811i | ||||
\(7\) | − | 2778.29i | − | 0.0624796i | −0.999512 | − | 0.0312398i | \(-0.990054\pi\) | ||
0.999512 | − | 0.0312398i | \(-0.00994555\pi\) | |||||||
\(8\) | 68569.3 | − | 62355.3i | 0.739835 | − | 0.672789i | ||||
\(9\) | − | 80951.6i | − | 0.456974i | ||||||
\(10\) | 292806. | + | 4629.29i | 0.925933 | + | 0.0146391i | ||||
\(11\) | 17312.0 | − | 17312.0i | 0.0324106 | − | 0.0324106i | −0.690716 | − | 0.723126i | \(-0.742704\pi\) |
0.723126 | + | 0.690716i | \(0.242704\pi\) | |||||||
\(12\) | −463125. | + | 434728.i | −0.537281 | + | 0.504336i | ||||
\(13\) | −1.16637e6 | − | 1.16637e6i | −0.871263 | − | 0.871263i | 0.121347 | − | 0.992610i | \(-0.461278\pi\) |
−0.992610 | + | 0.121347i | \(0.961278\pi\) | |||||||
\(14\) | −90299.6 | + | 87488.7i | −0.0448726 | + | 0.0434758i | ||||
\(15\) | −2.00699e6 | −0.682408 | ||||||||
\(16\) | −4.18592e6 | − | 265051.i | −0.998001 | − | 0.0631930i | ||||
\(17\) | −7.63947e6 | −1.30495 | −0.652475 | − | 0.757810i | \(-0.726269\pi\) | ||||
−0.652475 | + | 0.757810i | \(0.726269\pi\) | |||||||
\(18\) | −2.63108e6 | + | 2.54918e6i | −0.328197 | + | 0.317981i | ||||
\(19\) | 1.62010e6 | + | 1.62010e6i | 0.150106 | + | 0.150106i | 0.778165 | − | 0.628060i | \(-0.216151\pi\) |
−0.628060 | + | 0.778165i | \(0.716151\pi\) | |||||||
\(20\) | −9.07003e6 | − | 9.66251e6i | −0.633788 | − | 0.675188i | ||||
\(21\) | 609312. | − | 609312.i | 0.0325562 | − | 0.0325562i | ||||
\(22\) | −1.10783e6 | − | 17514.9i | −0.0458298 | − | 0.000724574i | ||||
\(23\) | − | 3.41251e7i | − | 1.10553i | −0.833337 | − | 0.552765i | \(-0.813573\pi\) | ||
0.833337 | − | 0.552765i | \(-0.186427\pi\) | |||||||
\(24\) | 2.87133e7 | + | 1.36279e6i | 0.736074 | + | 0.0349355i | ||||
\(25\) | 6.95479e6i | 0.142434i | ||||||||
\(26\) | −1.18004e6 | + | 7.46386e7i | −0.0194780 | + | 1.23200i | ||||
\(27\) | 5.66041e7 | − | 5.66041e7i | 0.759184 | − | 0.759184i | ||||
\(28\) | 5.68709e6 | + | 179872.i | 0.0624484 | + | 0.00197512i | ||||
\(29\) | −5.22501e7 | − | 5.22501e7i | −0.473041 | − | 0.473041i | 0.429856 | − | 0.902897i | \(-0.358564\pi\) |
−0.902897 | + | 0.429856i | \(0.858564\pi\) | |||||||
\(30\) | 6.32005e7 | + | 6.52310e7i | 0.474847 | + | 0.490103i | ||||
\(31\) | −1.70466e8 | −1.06942 | −0.534710 | − | 0.845035i | \(-0.679579\pi\) | ||||
−0.534710 | + | 0.845035i | \(0.679579\pi\) | |||||||
\(32\) | 1.23201e8 | + | 1.44397e8i | 0.649065 | + | 0.760733i | ||||
\(33\) | 7.59345e6 | 0.0337763 | ||||||||
\(34\) | 2.40568e8 | + | 2.48297e8i | 0.908037 | + | 0.937211i | ||||
\(35\) | 1.27125e7 | + | 1.27125e7i | 0.0409126 | + | 0.0409126i | ||||
\(36\) | 1.65706e8 | + | 5.24097e6i | 0.456746 | + | 0.0144460i | ||||
\(37\) | 1.36013e8 | − | 1.36013e8i | 0.322455 | − | 0.322455i | −0.527253 | − | 0.849708i | \(-0.676778\pi\) |
0.849708 | + | 0.527253i | \(0.176778\pi\) | |||||||
\(38\) | 1.63909e6 | − | 1.03673e8i | 0.00335577 | − | 0.212255i | ||||
\(39\) | − | 5.11599e8i | − | 0.907976i | ||||||
\(40\) | −2.84329e7 | + | 5.99067e8i | −0.0439027 | + | 0.925007i | ||||
\(41\) | − | 9.43574e8i | − | 1.27193i | −0.771716 | − | 0.635967i | \(-0.780601\pi\) | ||
0.771716 | − | 0.635967i | \(-0.219399\pi\) | |||||||
\(42\) | −3.89911e7 | − | 616453.i | −0.0460356 | − | 0.000727828i | ||||
\(43\) | −1.75831e8 | + | 1.75831e8i | −0.182397 | + | 0.182397i | −0.792400 | − | 0.610002i | \(-0.791169\pi\) |
0.610002 | + | 0.792400i | \(0.291169\pi\) | |||||||
\(44\) | 3.43164e7 | + | 3.65580e7i | 0.0313698 | + | 0.0334190i | ||||
\(45\) | 3.70407e8 | + | 3.70407e8i | 0.299233 | + | 0.299233i | ||||
\(46\) | −1.10913e9 | + | 1.07460e9i | −0.793987 | + | 0.769272i | ||||
\(47\) | −2.33824e9 | −1.48714 | −0.743569 | − | 0.668660i | \(-0.766868\pi\) | ||||
−0.743569 | + | 0.668660i | \(0.766868\pi\) | |||||||
\(48\) | −8.59894e8 | − | 9.76151e8i | −0.487100 | − | 0.552956i | ||||
\(49\) | 1.96961e9 | 0.996096 | ||||||||
\(50\) | 2.26044e8 | − | 2.19007e8i | 0.102296 | − | 0.0991114i | ||||
\(51\) | −1.67543e9 | − | 1.67543e9i | −0.679969 | − | 0.679969i | ||||
\(52\) | 2.46305e9 | − | 2.31203e9i | 0.898370 | − | 0.843285i | ||||
\(53\) | −2.13123e9 | + | 2.13123e9i | −0.700023 | + | 0.700023i | −0.964415 | − | 0.264392i | \(-0.914829\pi\) |
0.264392 | + | 0.964415i | \(0.414829\pi\) | |||||||
\(54\) | −3.62221e9 | − | 5.72675e7i | −1.07351 | − | 0.0169724i | ||||
\(55\) | 1.58428e8i | 0.0424459i | ||||||||
\(56\) | −1.73241e8 | − | 1.90505e8i | −0.0420356 | − | 0.0462246i | ||||
\(57\) | 7.10614e8i | 0.156431i | ||||||||
\(58\) | −5.28625e7 | + | 3.34359e9i | −0.0105753 | + | 0.668897i | ||||
\(59\) | −2.73656e8 | + | 2.73656e8i | −0.0498333 | + | 0.0498333i | −0.731584 | − | 0.681751i | \(-0.761219\pi\) |
0.681751 | + | 0.731584i | \(0.261219\pi\) | |||||||
\(60\) | 1.29937e8 | − | 4.10827e9i | 0.0215725 | − | 0.682067i | ||||
\(61\) | 7.10089e9 | + | 7.10089e9i | 1.07646 | + | 1.07646i | 0.996824 | + | 0.0796382i | \(0.0253765\pi\) |
0.0796382 | + | 0.996824i | \(0.474624\pi\) | |||||||
\(62\) | 5.36800e9 | + | 5.54046e9i | 0.744146 | + | 0.768054i | ||||
\(63\) | −2.24907e8 | −0.0285515 | ||||||||
\(64\) | 8.13557e8 | − | 8.55132e9i | 0.0947106 | − | 0.995505i | ||||
\(65\) | 1.06739e10 | 1.14103 | ||||||||
\(66\) | −2.39119e8 | − | 2.46801e8i | −0.0235029 | − | 0.0242580i | ||||
\(67\) | 6.25789e9 | + | 6.25789e9i | 0.566261 | + | 0.566261i | 0.931079 | − | 0.364818i | \(-0.118869\pi\) |
−0.364818 | + | 0.931079i | \(0.618869\pi\) | |||||||
\(68\) | 4.94594e8 | − | 1.56378e10i | 0.0412525 | − | 1.30430i | ||||
\(69\) | 7.48403e9 | − | 7.48403e9i | 0.576057 | − | 0.576057i | ||||
\(70\) | 1.28615e7 | − | 8.13499e8i | 0.000914645 | − | 0.0578519i | ||||
\(71\) | 3.05701e9i | 0.201083i | 0.994933 | + | 0.100542i | \(0.0320576\pi\) | ||||
−0.994933 | + | 0.100542i | \(0.967942\pi\) | |||||||
\(72\) | −5.04776e9 | − | 5.55079e9i | −0.307447 | − | 0.338085i | ||||
\(73\) | 3.14465e10i | 1.77540i | 0.460420 | + | 0.887701i | \(0.347699\pi\) | ||||
−0.460420 | + | 0.887701i | \(0.652301\pi\) | |||||||
\(74\) | −8.70371e9 | − | 1.37607e8i | −0.455964 | − | 0.00720883i | ||||
\(75\) | −1.52527e9 | + | 1.52527e9i | −0.0742180 | + | 0.0742180i | ||||
\(76\) | −3.42119e9 | + | 3.21142e9i | −0.154776 | + | 0.145285i | ||||
\(77\) | −4.80977e7 | − | 4.80977e7i | −0.00202500 | − | 0.00202500i | ||||
\(78\) | −1.66279e10 | + | 1.61103e10i | −0.652105 | + | 0.631806i | ||||
\(79\) | −4.76542e10 | −1.74242 | −0.871209 | − | 0.490912i | \(-0.836664\pi\) | ||||
−0.871209 | + | 0.490912i | \(0.836664\pi\) | |||||||
\(80\) | 2.03661e10 | − | 1.79406e10i | 0.694886 | − | 0.612127i | ||||
\(81\) | 1.04876e10 | 0.334201 | ||||||||
\(82\) | −3.06679e10 | + | 2.97133e10i | −0.913498 | + | 0.885063i | ||||
\(83\) | −4.66019e10 | − | 4.66019e10i | −1.29860 | − | 1.29860i | −0.929320 | − | 0.369276i | \(-0.879606\pi\) |
−0.369276 | − | 0.929320i | \(-0.620394\pi\) | |||||||
\(84\) | 1.20780e9 | + | 1.28670e9i | 0.0315107 | + | 0.0335691i | ||||
\(85\) | 3.49556e10 | − | 3.49556e10i | 0.854501 | − | 0.854501i | ||||
\(86\) | 1.12518e10 | + | 1.77892e8i | 0.257917 | + | 0.00407769i | ||||
\(87\) | − | 2.29182e10i | − | 0.492974i | ||||||
\(88\) | 1.07576e8 | − | 2.26657e9i | 0.00217300 | − | 0.0457840i | ||||
\(89\) | 1.17108e10i | 0.222300i | 0.993804 | + | 0.111150i | \(0.0354534\pi\) | ||||
−0.993804 | + | 0.111150i | \(0.964547\pi\) | |||||||
\(90\) | 3.74748e8 | − | 2.37031e10i | 0.00668968 | − | 0.423127i | ||||
\(91\) | −3.24052e9 | + | 3.24052e9i | −0.0544361 | + | 0.0544361i | ||||
\(92\) | 6.98532e10 | + | 2.20932e9i | 1.10498 | + | 0.0349483i | ||||
\(93\) | −3.73852e10 | − | 3.73852e10i | −0.557242 | − | 0.557242i | ||||
\(94\) | 7.36315e10 | + | 7.59972e10i | 1.03481 | + | 1.06806i | ||||
\(95\) | −1.48261e10 | −0.196583 | ||||||||
\(96\) | −4.64856e9 | + | 5.86873e10i | −0.0581871 | + | 0.734602i | ||||
\(97\) | 3.59417e10 | 0.424966 | 0.212483 | − | 0.977165i | \(-0.431845\pi\) | ||||
0.212483 | + | 0.977165i | \(0.431845\pi\) | |||||||
\(98\) | −6.20232e10 | − | 6.40159e10i | −0.693124 | − | 0.715393i | ||||
\(99\) | −1.40143e9 | − | 1.40143e9i | −0.0148108 | − | 0.0148108i | ||||
\(100\) | −1.42363e10 | − | 4.50267e8i | −0.142363 | − | 0.00450267i | ||||
\(101\) | 4.25749e9 | − | 4.25749e9i | 0.0403075 | − | 0.0403075i | −0.686666 | − | 0.726973i | \(-0.740926\pi\) |
0.726973 | + | 0.686666i | \(0.240926\pi\) | |||||||
\(102\) | −1.69506e9 | + | 1.07214e11i | −0.0152014 | + | 0.961502i | ||||
\(103\) | 8.38400e10i | 0.712601i | 0.934371 | + | 0.356301i | \(0.115962\pi\) | ||||
−0.934371 | + | 0.356301i | \(0.884038\pi\) | |||||||
\(104\) | −1.52707e11 | − | 7.24777e9i | −1.23077 | − | 0.0584146i | ||||
\(105\) | 5.57601e9i | 0.0426366i | ||||||||
\(106\) | 1.36381e11 | + | 2.15621e9i | 0.989859 | + | 0.0156498i | ||||
\(107\) | 1.39681e11 | − | 1.39681e11i | 0.962782 | − | 0.962782i | −0.0365502 | − | 0.999332i | \(-0.511637\pi\) |
0.999332 | + | 0.0365502i | \(0.0116369\pi\) | |||||||
\(108\) | 1.12203e11 | + | 1.19532e11i | 0.734805 | + | 0.782804i | ||||
\(109\) | −1.03674e11 | − | 1.03674e11i | −0.645393 | − | 0.645393i | 0.306483 | − | 0.951876i | \(-0.400848\pi\) |
−0.951876 | + | 0.306483i | \(0.900848\pi\) | |||||||
\(110\) | 5.14919e9 | − | 4.98891e9i | 0.0304845 | − | 0.0295356i | ||||
\(111\) | 5.96583e10 | 0.336043 | ||||||||
\(112\) | −7.36387e8 | + | 1.16297e10i | −0.00394827 | + | 0.0623547i | ||||
\(113\) | −4.37338e10 | −0.223298 | −0.111649 | − | 0.993748i | \(-0.535613\pi\) | ||||
−0.111649 | + | 0.993748i | \(0.535613\pi\) | |||||||
\(114\) | 2.30963e10 | − | 2.23773e10i | 0.112348 | − | 0.108851i | ||||
\(115\) | 1.56145e11 | + | 1.56145e11i | 0.723917 | + | 0.723917i | ||||
\(116\) | 1.10338e11 | − | 1.03572e11i | 0.487758 | − | 0.457850i | ||||
\(117\) | −9.44197e10 | + | 9.44197e10i | −0.398144 | + | 0.398144i | ||||
\(118\) | 1.75118e10 | + | 2.76864e8i | 0.0704661 | + | 0.00111408i | ||||
\(119\) | 2.12246e10i | 0.0815328i | ||||||||
\(120\) | −1.37618e11 | + | 1.25147e11i | −0.504869 | + | 0.459116i | ||||
\(121\) | 2.84712e11i | 0.997899i | ||||||||
\(122\) | 7.18411e9 | − | 4.54400e11i | 0.0240655 | − | 1.52216i | ||||
\(123\) | 2.06937e11 | − | 2.06937e11i | 0.662765 | − | 0.662765i | ||||
\(124\) | 1.10363e10 | − | 3.48940e11i | 0.0338068 | − | 1.06889i | ||||
\(125\) | −2.55244e11 | − | 2.55244e11i | −0.748083 | − | 0.748083i | ||||
\(126\) | 7.08235e9 | + | 7.30989e9i | 0.0198673 | + | 0.0205056i | ||||
\(127\) | −6.00265e11 | −1.61221 | −0.806107 | − | 0.591770i | \(-0.798430\pi\) | ||||
−0.806107 | + | 0.591770i | \(0.798430\pi\) | |||||||
\(128\) | −3.03553e11 | + | 2.42840e11i | −0.780871 | + | 0.624692i | ||||
\(129\) | −7.71236e10 | −0.190083 | ||||||||
\(130\) | −3.36121e11 | − | 3.46920e11i | −0.793976 | − | 0.819485i | ||||
\(131\) | 6.08704e11 | + | 6.08704e11i | 1.37852 | + | 1.37852i | 0.847117 | + | 0.531407i | \(0.178337\pi\) |
0.531407 | + | 0.847117i | \(0.321663\pi\) | |||||||
\(132\) | −4.91615e8 | + | 1.55436e10i | −0.00106775 | + | 0.0337594i | ||||
\(133\) | 4.50111e9 | − | 4.50111e9i | 0.00937854 | − | 0.00937854i | ||||
\(134\) | 6.33124e9 | − | 4.00455e11i | 0.0126594 | − | 0.800714i | ||||
\(135\) | 5.18002e11i | 0.994251i | ||||||||
\(136\) | −5.23833e11 | + | 4.76362e11i | −0.965447 | + | 0.877956i | ||||
\(137\) | 3.71507e11i | 0.657663i | 0.944389 | + | 0.328832i | \(0.106655\pi\) | ||||
−0.944389 | + | 0.328832i | \(0.893345\pi\) | |||||||
\(138\) | −4.78918e11 | − | 7.57175e9i | −0.814566 | − | 0.0128784i | ||||
\(139\) | 4.19881e11 | − | 4.19881e11i | 0.686348 | − | 0.686348i | −0.275075 | − | 0.961423i | \(-0.588703\pi\) |
0.961423 | + | 0.275075i | \(0.0887025\pi\) | |||||||
\(140\) | −2.68452e10 | + | 2.51992e10i | −0.0421855 | + | 0.0395988i | ||||
\(141\) | −5.12804e11 | − | 5.12804e11i | −0.774901 | − | 0.774901i | ||||
\(142\) | 9.93585e10 | − | 9.62657e10i | 0.144417 | − | 0.139922i | ||||
\(143\) | −4.03845e10 | −0.0564763 | ||||||||
\(144\) | −2.14563e10 | + | 3.38857e11i | −0.0288776 | + | 0.456061i | ||||
\(145\) | 4.78158e11 | 0.619509 | ||||||||
\(146\) | 1.02207e12 | − | 9.90255e11i | 1.27509 | − | 1.23540i | ||||
\(147\) | 4.31958e11 | + | 4.31958e11i | 0.519035 | + | 0.519035i | ||||
\(148\) | 2.69609e11 | + | 2.87220e11i | 0.312101 | + | 0.332488i | ||||
\(149\) | 5.05211e11 | − | 5.05211e11i | 0.563571 | − | 0.563571i | −0.366749 | − | 0.930320i | \(-0.619529\pi\) |
0.930320 | + | 0.366749i | \(0.119529\pi\) | |||||||
\(150\) | 9.76050e10 | + | 1.54314e9i | 0.104947 | + | 0.00165922i | ||||
\(151\) | 8.08446e11i | 0.838065i | 0.907971 | + | 0.419033i | \(0.137631\pi\) | ||||
−0.907971 | + | 0.419033i | \(0.862369\pi\) | |||||||
\(152\) | 2.12111e11 | + | 1.00672e10i | 0.212043 | + | 0.0100640i | ||||
\(153\) | 6.18427e11i | 0.596328i | ||||||||
\(154\) | −4.86614e7 | + | 3.07787e9i | −4.52711e−5 | + | 0.00286343i | ||||
\(155\) | 7.79995e11 | − | 7.79995e11i | 0.700273 | − | 0.700273i | ||||
\(156\) | 1.04723e12 | + | 3.31220e10i | 0.907522 | + | 0.0287032i | ||||
\(157\) | −7.30037e11 | − | 7.30037e11i | −0.610797 | − | 0.610797i | 0.332357 | − | 0.943154i | \(-0.392156\pi\) |
−0.943154 | + | 0.332357i | \(0.892156\pi\) | |||||||
\(158\) | 1.50064e12 | + | 1.54885e12i | 1.21245 | + | 1.25140i | ||||
\(159\) | −9.34807e11 | −0.729521 | ||||||||
\(160\) | −1.22443e12 | − | 9.69862e10i | −0.923157 | − | 0.0731223i | ||||
\(161\) | −9.48093e10 | −0.0690730 | ||||||||
\(162\) | −3.30255e11 | − | 3.40866e11i | −0.232550 | − | 0.240022i | ||||
\(163\) | −9.03848e11 | − | 9.03848e11i | −0.615267 | − | 0.615267i | 0.329047 | − | 0.944314i | \(-0.393273\pi\) |
−0.944314 | + | 0.329047i | \(0.893273\pi\) | |||||||
\(164\) | 1.93147e12 | + | 6.10888e10i | 1.27130 | + | 0.0402088i | ||||
\(165\) | −3.47450e10 | + | 3.47450e10i | −0.0221173 | + | 0.0221173i | ||||
\(166\) | −4.71481e10 | + | 2.98215e12i | −0.0290315 | + | 1.83626i | ||||
\(167\) | − | 2.22636e12i | − | 1.32634i | −0.748469 | − | 0.663170i | \(-0.769211\pi\) | ||
0.748469 | − | 0.663170i | \(-0.230789\pi\) | |||||||
\(168\) | 3.78623e9 | − | 7.97739e10i | 0.00218276 | − | 0.0459896i | ||||
\(169\) | 9.28692e11i | 0.518197i | ||||||||
\(170\) | −2.23688e12 | − | 3.53653e10i | −1.20830 | − | 0.0191033i | ||||
\(171\) | 1.31150e11 | − | 1.31150e11i | 0.0685944 | − | 0.0685944i | ||||
\(172\) | −3.48538e11 | − | 3.71305e11i | −0.176540 | − | 0.188072i | ||||
\(173\) | −6.98524e11 | − | 6.98524e11i | −0.342711 | − | 0.342711i | 0.514675 | − | 0.857385i | \(-0.327913\pi\) |
−0.857385 | + | 0.514675i | \(0.827913\pi\) | |||||||
\(174\) | −7.44883e11 | + | 7.21696e11i | −0.354052 | + | 0.343031i | ||||
\(175\) | 1.93224e10 | 0.00889922 | ||||||||
\(176\) | −7.70552e10 | + | 6.78780e10i | −0.0343939 | + | 0.0302977i | ||||
\(177\) | −1.20032e11 | −0.0519332 | ||||||||
\(178\) | 3.80621e11 | − | 3.68773e11i | 0.159655 | − | 0.154685i | ||||
\(179\) | −2.78923e12 | − | 2.78923e12i | −1.13447 | − | 1.13447i | −0.989425 | − | 0.145044i | \(-0.953668\pi\) |
−0.145044 | − | 0.989425i | \(-0.546332\pi\) | |||||||
\(180\) | −7.82195e11 | + | 7.34233e11i | −0.308543 | + | 0.289624i | ||||
\(181\) | 8.65718e11 | − | 8.65718e11i | 0.331241 | − | 0.331241i | −0.521817 | − | 0.853058i | \(-0.674745\pi\) |
0.853058 | + | 0.521817i | \(0.174745\pi\) | |||||||
\(182\) | 2.07367e11 | + | 3.27850e9i | 0.0769747 | + | 0.00121698i | ||||
\(183\) | 3.11462e12i | 1.12182i | ||||||||
\(184\) | −2.12788e12 | − | 2.33993e12i | −0.743788 | − | 0.817909i | ||||
\(185\) | 1.24469e12i | 0.422297i | ||||||||
\(186\) | −3.78234e10 | + | 2.39236e12i | −0.0124577 | + | 0.787961i | ||||
\(187\) | −1.32254e11 | + | 1.32254e11i | −0.0422942 | + | 0.0422942i | ||||
\(188\) | 1.51382e11 | − | 4.78632e12i | 0.0470118 | − | 1.48639i | ||||
\(189\) | −1.57263e11 | − | 1.57263e11i | −0.0474335 | − | 0.0474335i | ||||
\(190\) | 4.66874e11 | + | 4.81874e11i | 0.136790 | + | 0.141185i | ||||
\(191\) | −3.97152e12 | −1.13051 | −0.565254 | − | 0.824917i | \(-0.691222\pi\) | ||||
−0.565254 | + | 0.824917i | \(0.691222\pi\) | |||||||
\(192\) | 2.05383e12 | − | 1.69698e12i | 0.568078 | − | 0.469376i | ||||
\(193\) | 5.02696e12 | 1.35126 | 0.675632 | − | 0.737239i | \(-0.263871\pi\) | ||||
0.675632 | + | 0.737239i | \(0.263871\pi\) | |||||||
\(194\) | −1.13181e12 | − | 1.16817e12i | −0.295708 | − | 0.305209i | ||||
\(195\) | 2.34090e12 | + | 2.34090e12i | 0.594557 | + | 0.594557i | ||||
\(196\) | −1.27516e11 | + | 4.03174e12i | −0.0314889 | + | 0.995598i | ||||
\(197\) | 2.21725e12 | − | 2.21725e12i | 0.532415 | − | 0.532415i | −0.388876 | − | 0.921290i | \(-0.627136\pi\) |
0.921290 | + | 0.388876i | \(0.127136\pi\) | |||||||
\(198\) | −1.41786e9 | + | 8.96805e10i | −0.000331111 | + | 0.0209430i | ||||
\(199\) | − | 1.69752e12i | − | 0.385588i | −0.981239 | − | 0.192794i | \(-0.938245\pi\) | ||
0.981239 | − | 0.192794i | \(-0.0617548\pi\) | |||||||
\(200\) | 4.33668e11 | + | 4.76885e11i | 0.0958280 | + | 0.105378i | ||||
\(201\) | 2.74486e12i | 0.590122i | ||||||||
\(202\) | −2.72445e11 | − | 4.30739e9i | −0.0569963 | − | 0.000901117i | ||||
\(203\) | −1.45166e11 | + | 1.45166e11i | −0.0295554 | + | 0.0295554i | ||||
\(204\) | 3.53803e12 | − | 3.32109e12i | 0.701125 | − | 0.658134i | ||||
\(205\) | 4.31747e12 | + | 4.31747e12i | 0.832882 | + | 0.832882i | ||||
\(206\) | 2.72496e12 | − | 2.64013e12i | 0.511788 | − | 0.495857i | ||||
\(207\) | −2.76248e12 | −0.505198 | ||||||||
\(208\) | 4.57320e12 | + | 5.19149e12i | 0.814464 | + | 0.924579i | ||||
\(209\) | 5.60943e10 | 0.00973003 | ||||||||
\(210\) | 1.81231e11 | − | 1.75589e11i | 0.0306214 | − | 0.0296682i | ||||
\(211\) | 1.20649e12 | + | 1.20649e12i | 0.198596 | + | 0.198596i | 0.799398 | − | 0.600802i | \(-0.205152\pi\) |
−0.600802 | + | 0.799398i | \(0.705152\pi\) | |||||||
\(212\) | −4.22459e12 | − | 4.50055e12i | −0.677544 | − | 0.721803i | ||||
\(213\) | −6.70439e11 | + | 6.70439e11i | −0.104778 | + | 0.104778i | ||||
\(214\) | −8.93849e12 | − | 1.41318e11i | −1.36141 | − | 0.0215240i | ||||
\(215\) | − | 1.60908e12i | − | 0.238873i | ||||||
\(216\) | 3.51734e11 | − | 7.41087e12i | 0.0509002 | − | 1.07244i | ||||
\(217\) | 4.73604e11i | 0.0668170i | ||||||||
\(218\) | −1.04889e11 | + | 6.63430e12i | −0.0144284 | + | 0.912609i | ||||
\(219\) | −6.89660e12 | + | 6.89660e12i | −0.925108 | + | 0.925108i | ||||
\(220\) | −3.24297e11 | − | 1.02569e10i | −0.0424247 | − | 0.00134181i | ||||
\(221\) | 8.91047e12 | + | 8.91047e12i | 1.13695 | + | 1.13695i | ||||
\(222\) | −1.87865e12 | − | 1.93901e12i | −0.233832 | − | 0.241345i | ||||
\(223\) | 3.81312e12 | 0.463025 | 0.231512 | − | 0.972832i | \(-0.425633\pi\) | ||||
0.231512 | + | 0.972832i | \(0.425633\pi\) | |||||||
\(224\) | 4.01176e11 | − | 3.42287e11i | 0.0475303 | − | 0.0405533i | ||||
\(225\) | 5.63001e11 | 0.0650887 | ||||||||
\(226\) | 1.37718e12 | + | 1.42143e12i | 0.155380 | + | 0.160372i | ||||
\(227\) | 2.20437e12 | + | 2.20437e12i | 0.242740 | + | 0.242740i | 0.817983 | − | 0.575243i | \(-0.195092\pi\) |
−0.575243 | + | 0.817983i | \(0.695092\pi\) | |||||||
\(228\) | −1.45461e12 | − | 4.60066e10i | −0.156353 | − | 0.00494514i | ||||
\(229\) | −6.95781e12 | + | 6.95781e12i | −0.730092 | + | 0.730092i | −0.970638 | − | 0.240546i | \(-0.922673\pi\) |
0.240546 | + | 0.970638i | \(0.422673\pi\) | |||||||
\(230\) | 1.57975e11 | − | 9.99201e12i | 0.0161839 | − | 1.02365i | ||||
\(231\) | − | 2.10968e10i | − | 0.00211033i | ||||||
\(232\) | −6.84083e12 | − | 3.24679e11i | −0.668228 | − | 0.0317154i | ||||
\(233\) | − | 1.59857e13i | − | 1.52502i | −0.646977 | − | 0.762510i | \(-0.723967\pi\) | ||
0.646977 | − | 0.762510i | \(-0.276033\pi\) | |||||||
\(234\) | 6.04211e12 | + | 9.55264e10i | 0.562991 | + | 0.00890094i | ||||
\(235\) | 1.06990e13 | − | 1.06990e13i | 0.973800 | − | 0.973800i | ||||
\(236\) | −5.42451e11 | − | 5.77885e11i | −0.0482330 | − | 0.0513837i | ||||
\(237\) | −1.04511e13 | − | 1.04511e13i | −0.907920 | − | 0.907920i | ||||
\(238\) | 6.89841e11 | − | 6.68367e11i | 0.0585565 | − | 0.0567338i | ||||
\(239\) | 1.48081e13 | 1.22831 | 0.614157 | − | 0.789184i | \(-0.289496\pi\) | ||||
0.614157 | + | 0.789184i | \(0.289496\pi\) | |||||||
\(240\) | 8.40112e12 | + | 5.31955e11i | 0.681044 | + | 0.0431234i | ||||
\(241\) | −1.00810e13 | −0.798750 | −0.399375 | − | 0.916788i | \(-0.630773\pi\) | ||||
−0.399375 | + | 0.916788i | \(0.630773\pi\) | |||||||
\(242\) | 9.25368e12 | − | 8.96563e12i | 0.716688 | − | 0.694379i | ||||
\(243\) | −7.72719e12 | − | 7.72719e12i | −0.585042 | − | 0.585042i | ||||
\(244\) | −1.49951e13 | + | 1.40756e13i | −1.10995 | + | 1.04189i | ||||
\(245\) | −9.01226e12 | + | 9.01226e12i | −0.652259 | + | 0.652259i | ||||
\(246\) | −1.32423e13 | − | 2.09362e11i | −0.937175 | − | 0.0148168i | ||||
\(247\) | − | 3.77928e12i | − | 0.261563i | ||||||
\(248\) | −1.16887e13 | + | 1.06295e13i | −0.791194 | + | 0.719494i | ||||
\(249\) | − | 2.04407e13i | − | 1.35332i | ||||||
\(250\) | −2.58235e11 | + | 1.63336e13i | −0.0167242 | + | 1.05782i | ||||
\(251\) | −2.01824e13 | + | 2.01824e13i | −1.27870 | + | 1.27870i | −0.337302 | + | 0.941397i | \(0.609514\pi\) |
−0.941397 | + | 0.337302i | \(0.890486\pi\) | |||||||
\(252\) | 1.45609e10 | − | 4.60379e11i | 0.000902580 | − | 0.0285373i | ||||
\(253\) | −5.90772e11 | − | 5.90772e11i | −0.0358309 | − | 0.0358309i | ||||
\(254\) | 1.89024e13 | + | 1.95097e13i | 1.12184 | + | 1.15789i | ||||
\(255\) | 1.53324e13 | 0.890509 | ||||||||
\(256\) | 1.74517e13 | + | 2.21896e12i | 0.992013 | + | 0.126133i | ||||
\(257\) | −2.83439e13 | −1.57699 | −0.788493 | − | 0.615044i | \(-0.789138\pi\) | ||||
−0.788493 | + | 0.615044i | \(0.789138\pi\) | |||||||
\(258\) | 2.42863e12 | + | 2.50666e12i | 0.132268 | + | 0.136517i | ||||
\(259\) | −3.77882e11 | − | 3.77882e11i | −0.0201469 | − | 0.0201469i | ||||
\(260\) | −6.91047e11 | + | 2.18491e13i | −0.0360707 | + | 1.14046i | ||||
\(261\) | −4.22973e12 | + | 4.22973e12i | −0.216167 | + | 0.216167i | ||||
\(262\) | 6.15838e11 | − | 3.89522e13i | 0.0308184 | − | 1.94928i | ||||
\(263\) | − | 1.43628e13i | − | 0.703855i | −0.936027 | − | 0.351928i | \(-0.885526\pi\) | ||
0.936027 | − | 0.351928i | \(-0.114474\pi\) | |||||||
\(264\) | 5.20677e11 | − | 4.73492e11i | 0.0249889 | − | 0.0227243i | ||||
\(265\) | − | 1.95035e13i | − | 0.916772i | ||||||
\(266\) | −2.88035e11 | − | 4.55386e9i | −0.0132616 | − | 0.000209667i | ||||
\(267\) | −2.56831e12 | + | 2.56831e12i | −0.115834 | + | 0.115834i | ||||
\(268\) | −1.32149e13 | + | 1.24046e13i | −0.583879 | + | 0.548077i | ||||
\(269\) | 1.53045e13 | + | 1.53045e13i | 0.662492 | + | 0.662492i | 0.955967 | − | 0.293475i | \(-0.0948116\pi\) |
−0.293475 | + | 0.955967i | \(0.594812\pi\) | |||||||
\(270\) | 1.68360e13 | − | 1.63120e13i | 0.714067 | − | 0.691840i | ||||
\(271\) | 3.43046e13 | 1.42568 | 0.712838 | − | 0.701329i | \(-0.247410\pi\) | ||||
0.712838 | + | 0.701329i | \(0.247410\pi\) | |||||||
\(272\) | 3.19782e13 | + | 2.02485e12i | 1.30234 | + | 0.0824637i | ||||
\(273\) | −1.42137e12 | −0.0567300 | ||||||||
\(274\) | 1.20747e13 | − | 1.16988e13i | 0.472331 | − | 0.457628i | ||||
\(275\) | 1.20401e11 | + | 1.20401e11i | 0.00461637 | + | 0.00461637i | ||||
\(276\) | 1.48351e13 | + | 1.58042e13i | 0.557559 | + | 0.593980i | ||||
\(277\) | 3.09049e13 | − | 3.09049e13i | 1.13864 | − | 1.13864i | 0.149951 | − | 0.988693i | \(-0.452088\pi\) |
0.988693 | − | 0.149951i | \(-0.0479117\pi\) | |||||||
\(278\) | −2.68690e13 | − | 4.24802e11i | −0.970522 | − | 0.0153441i | ||||
\(279\) | 1.37995e13i | 0.488697i | ||||||||
\(280\) | 1.66438e12 | + | 7.89947e10i | 0.0577941 | + | 0.00274302i | ||||
\(281\) | 2.94675e13i | 1.00336i | 0.865052 | + | 0.501682i | \(0.167285\pi\) | ||||
−0.865052 | + | 0.501682i | \(0.832715\pi\) | |||||||
\(282\) | −5.18814e11 | + | 3.28154e13i | −0.0173237 | + | 1.09574i | ||||
\(283\) | 7.63667e12 | − | 7.63667e12i | 0.250080 | − | 0.250080i | −0.570923 | − | 0.821003i | \(-0.693415\pi\) |
0.821003 | + | 0.570923i | \(0.193415\pi\) | |||||||
\(284\) | −6.25763e12 | − | 1.97917e11i | −0.200983 | − | 0.00635671i | ||||
\(285\) | −3.25153e12 | − | 3.25153e12i | −0.102433 | − | 0.102433i | ||||
\(286\) | 1.27171e12 | + | 1.31257e12i | 0.0392985 | + | 0.0405611i | ||||
\(287\) | −2.62152e12 | −0.0794699 | ||||||||
\(288\) | 1.16891e13 | − | 9.97328e12i | 0.347635 | − | 0.296606i | ||||
\(289\) | 2.40896e13 | 0.702896 | ||||||||
\(290\) | −1.50573e13 | − | 1.55410e13i | −0.431079 | − | 0.444929i | ||||
\(291\) | 7.88244e12 | + | 7.88244e12i | 0.221437 | + | 0.221437i | ||||
\(292\) | −6.43703e13 | − | 2.03591e12i | −1.77452 | − | 0.0561246i | ||||
\(293\) | −1.88996e13 | + | 1.88996e13i | −0.511307 | + | 0.511307i | −0.914927 | − | 0.403620i | \(-0.867752\pi\) |
0.403620 | + | 0.914927i | \(0.367752\pi\) | |||||||
\(294\) | 4.37021e11 | − | 2.76419e13i | 0.0116036 | − | 0.733935i | ||||
\(295\) | − | 2.50432e12i | − | 0.0652632i | ||||||
\(296\) | 8.45173e11 | − | 1.78074e13i | 0.0216193 | − | 0.455508i | ||||
\(297\) | − | 1.95986e12i | − | 0.0492112i | ||||||
\(298\) | −3.23295e13 | − | 5.11133e11i | −0.796910 | − | 0.0125992i | ||||
\(299\) | −3.98025e13 | + | 3.98025e13i | −0.963206 | + | 0.963206i | ||||
\(300\) | −3.02344e12 | − | 3.22094e12i | −0.0718347 | − | 0.0765271i | ||||
\(301\) | 4.88509e11 | + | 4.88509e11i | 0.0113961 | + | 0.0113961i | ||||
\(302\) | 2.62760e13 | − | 2.54581e13i | 0.601896 | − | 0.583160i | ||||
\(303\) | 1.86744e12 | 0.0420060 | ||||||||
\(304\) | −6.35220e12 | − | 7.21102e12i | −0.140320 | − | 0.159291i | ||||
\(305\) | −6.49825e13 | −1.40977 | ||||||||
\(306\) | 2.01000e13 | − | 1.94743e13i | 0.428281 | − | 0.414949i | ||||
\(307\) | −8.05621e12 | − | 8.05621e12i | −0.168605 | − | 0.168605i | 0.617761 | − | 0.786366i | \(-0.288040\pi\) |
−0.786366 | + | 0.617761i | \(0.788040\pi\) | |||||||
\(308\) | 1.01569e11 | − | 9.53409e10i | 0.00208800 | − | 0.00195997i | ||||
\(309\) | −1.83871e13 | + | 1.83871e13i | −0.371315 | + | 0.371315i | ||||
\(310\) | −4.99134e13 | − | 7.89136e11i | −0.990212 | − | 0.0156553i | ||||
\(311\) | 2.29206e13i | 0.446729i | 0.974735 | + | 0.223365i | \(0.0717041\pi\) | ||||
−0.974735 | + | 0.223365i | \(0.928296\pi\) | |||||||
\(312\) | −3.19009e13 | − | 3.50800e13i | −0.610876 | − | 0.671752i | ||||
\(313\) | − | 1.16826e13i | − | 0.219809i | −0.993942 | − | 0.109904i | \(-0.964946\pi\) | ||
0.993942 | − | 0.109904i | \(-0.0350544\pi\) | |||||||
\(314\) | −7.38593e11 | + | 4.67165e13i | −0.0136550 | + | 0.863690i | ||||
\(315\) | 1.02910e12 | − | 1.02910e12i | 0.0186960 | − | 0.0186960i | ||||
\(316\) | 3.08523e12 | − | 9.75471e13i | 0.0550819 | − | 1.74155i | ||||
\(317\) | 4.67319e13 | + | 4.67319e13i | 0.819950 | + | 0.819950i | 0.986100 | − | 0.166150i | \(-0.0531337\pi\) |
−0.166150 | + | 0.986100i | \(0.553134\pi\) | |||||||
\(318\) | 2.94372e13 | + | 3.03830e13i | 0.507630 | + | 0.523939i | ||||
\(319\) | −1.80911e12 | −0.0306631 | ||||||||
\(320\) | 3.54054e13 | + | 4.28505e13i | 0.589854 | + | 0.713890i | ||||
\(321\) | 6.12676e13 | 1.00335 | ||||||||
\(322\) | 2.98556e12 | + | 3.08148e12i | 0.0480638 | + | 0.0496080i | ||||
\(323\) | −1.23767e13 | − | 1.23767e13i | −0.195880 | − | 0.195880i | ||||
\(324\) | −6.78987e11 | + | 2.14678e13i | −0.0105649 | + | 0.334034i | ||||
\(325\) | 8.11188e12 | − | 8.11188e12i | 0.124097 | − | 0.124097i | ||||
\(326\) | −9.14441e11 | + | 5.78390e13i | −0.0137549 | + | 0.870010i | ||||
\(327\) | − | 4.54739e13i | − | 0.672588i | ||||||
\(328\) | −5.88369e13 | − | 6.47002e13i | −0.855743 | − | 0.941021i | ||||
\(329\) | 6.49631e12i | 0.0929157i | ||||||||
\(330\) | 2.22341e12 | + | 3.51523e10i | 0.0312746 | + | 0.000494455i | ||||
\(331\) | 2.48513e13 | − | 2.48513e13i | 0.343791 | − | 0.343791i | −0.514000 | − | 0.857790i | \(-0.671837\pi\) |
0.857790 | + | 0.514000i | \(0.171837\pi\) | |||||||
\(332\) | 9.84101e13 | − | 9.23759e13i | 1.33900 | − | 1.25690i | ||||
\(333\) | −1.10104e13 | − | 1.10104e13i | −0.147354 | − | 0.147354i | ||||
\(334\) | −7.23608e13 | + | 7.01084e13i | −0.952572 | + | 0.922920i | ||||
\(335\) | −5.72680e13 | −0.741593 | ||||||||
\(336\) | −2.71203e12 | + | 2.38903e12i | −0.0345484 | + | 0.0304338i | ||||
\(337\) | 1.14158e14 | 1.43068 | 0.715342 | − | 0.698775i | \(-0.246271\pi\) | ||||
0.715342 | + | 0.698775i | \(0.246271\pi\) | |||||||
\(338\) | 3.01842e13 | − | 2.92447e13i | 0.372167 | − | 0.360583i | ||||
\(339\) | −9.59133e12 | − | 9.59133e12i | −0.116354 | − | 0.116354i | ||||
\(340\) | 6.92902e13 | + | 7.38164e13i | 0.827062 | + | 0.881087i | ||||
\(341\) | −2.95111e12 | + | 2.95111e12i | −0.0346606 | + | 0.0346606i | ||||
\(342\) | −8.39253e12 | − | 1.32687e11i | −0.0969949 | − | 0.00153350i | ||||
\(343\) | − | 1.09657e13i | − | 0.124715i | ||||||
\(344\) | −1.09260e12 | + | 2.30206e13i | −0.0122290 | + | 0.257659i | ||||
\(345\) | 6.84888e13i | 0.754422i | ||||||||
\(346\) | −7.06710e11 | + | 4.46999e13i | −0.00766166 | + | 0.484605i | ||||
\(347\) | 6.86725e13 | − | 6.86725e13i | 0.732776 | − | 0.732776i | −0.238393 | − | 0.971169i | \(-0.576621\pi\) |
0.971169 | + | 0.238393i | \(0.0766207\pi\) | |||||||
\(348\) | 4.69129e13 | + | 1.48377e12i | 0.492727 | + | 0.0155840i | ||||
\(349\) | 5.60520e13 | + | 5.60520e13i | 0.579497 | + | 0.579497i | 0.934765 | − | 0.355268i | \(-0.115610\pi\) |
−0.355268 | + | 0.934765i | \(0.615610\pi\) | |||||||
\(350\) | −6.08465e11 | − | 6.28014e11i | −0.00619244 | − | 0.00639139i | ||||
\(351\) | −1.32043e14 | −1.32290 | ||||||||
\(352\) | 4.63264e12 | + | 3.66947e11i | 0.0456924 | + | 0.00361925i | ||||
\(353\) | 5.46239e13 | 0.530423 | 0.265211 | − | 0.964190i | \(-0.414558\pi\) | ||||
0.265211 | + | 0.964190i | \(0.414558\pi\) | |||||||
\(354\) | 3.77983e12 | + | 3.90127e12i | 0.0361372 | + | 0.0372982i | ||||
\(355\) | −1.39878e13 | − | 1.39878e13i | −0.131672 | − | 0.131672i | ||||
\(356\) | −2.39716e13 | − | 7.58178e11i | −0.222189 | − | 0.00702742i | ||||
\(357\) | −4.65482e12 | + | 4.65482e12i | −0.0424842 | + | 0.0424842i | ||||
\(358\) | −2.82192e12 | + | 1.78488e14i | −0.0253623 | + | 1.60418i | ||||
\(359\) | 3.93500e13i | 0.348278i | 0.984721 | + | 0.174139i | \(0.0557141\pi\) | ||||
−0.984721 | + | 0.174139i | \(0.944286\pi\) | |||||||
\(360\) | 4.84954e13 | + | 2.30169e12i | 0.422704 | + | 0.0200624i | ||||
\(361\) | − | 1.11241e14i | − | 0.954937i | ||||||
\(362\) | −5.53990e13 | − | 8.75864e11i | −0.468387 | − | 0.00740525i | ||||
\(363\) | −6.24408e13 | + | 6.24408e13i | −0.519974 | + | 0.519974i | ||||
\(364\) | −6.42347e12 | − | 6.84307e12i | −0.0526881 | − | 0.0561298i | ||||
\(365\) | −1.43889e14 | − | 1.43889e14i | −1.16256 | − | 1.16256i | ||||
\(366\) | 1.01231e14 | − | 9.80798e13i | 0.805689 | − | 0.780609i | ||||
\(367\) | −1.36804e14 | −1.07260 | −0.536299 | − | 0.844028i | \(-0.680178\pi\) | ||||
−0.536299 | + | 0.844028i | \(0.680178\pi\) | |||||||
\(368\) | −9.04487e12 | + | 1.42845e14i | −0.0698617 | + | 1.10332i | ||||
\(369\) | −7.63838e13 | −0.581241 | ||||||||
\(370\) | 4.04549e13 | − | 3.91956e13i | 0.303292 | − | 0.293851i | ||||
\(371\) | 5.92116e12 | + | 5.92116e12i | 0.0437372 | + | 0.0437372i | ||||
\(372\) | 7.89471e13 | − | 7.41063e13i | 0.574579 | − | 0.539348i | ||||
\(373\) | 1.67793e14 | − | 1.67793e14i | 1.20331 | − | 1.20331i | 0.230152 | − | 0.973155i | \(-0.426078\pi\) |
0.973155 | − | 0.230152i | \(-0.0739224\pi\) | |||||||
\(374\) | 8.46322e12 | + | 1.33804e11i | 0.0598056 | + | 0.000945533i | ||||
\(375\) | − | 1.11956e14i | − | 0.779606i | ||||||
\(376\) | −1.60332e14 | + | 1.45802e14i | −1.10024 | + | 1.00053i | ||||
\(377\) | 1.21886e14i | 0.824285i | ||||||||
\(378\) | −1.59106e11 | + | 1.00635e13i | −0.00106043 | + | 0.0670727i | ||||
\(379\) | 8.77288e13 | − | 8.77288e13i | 0.576271 | − | 0.576271i | −0.357603 | − | 0.933874i | \(-0.616406\pi\) |
0.933874 | + | 0.357603i | \(0.116406\pi\) | |||||||
\(380\) | 9.59868e11 | − | 3.03486e13i | 0.00621444 | − | 0.196485i | ||||
\(381\) | −1.31645e14 | − | 1.31645e14i | −0.840075 | − | 0.840075i | ||||
\(382\) | 1.25064e14 | + | 1.29082e14i | 0.786652 | + | 0.811926i | ||||
\(383\) | −6.00616e13 | −0.372395 | −0.186197 | − | 0.982512i | \(-0.559616\pi\) | ||||
−0.186197 | + | 0.982512i | \(0.559616\pi\) | |||||||
\(384\) | −1.19831e14 | − | 1.33150e13i | −0.732396 | − | 0.0813805i | ||||
\(385\) | 4.40157e11 | 0.00265200 | ||||||||
\(386\) | −1.58300e14 | − | 1.63386e14i | −0.940264 | − | 0.970473i | ||||
\(387\) | 1.42338e13 | + | 1.42338e13i | 0.0833508 | + | 0.0833508i | ||||
\(388\) | −2.32694e12 | + | 7.35718e13i | −0.0134341 | + | 0.424753i | ||||
\(389\) | −3.16819e13 | + | 3.16819e13i | −0.180339 | + | 0.180339i | −0.791503 | − | 0.611165i | \(-0.790701\pi\) |
0.611165 | + | 0.791503i | \(0.290701\pi\) | |||||||
\(390\) | 2.36834e12 | − | 1.49799e14i | 0.0132919 | − | 0.840725i | ||||
\(391\) | 2.60697e14i | 1.44266i | ||||||||
\(392\) | 1.35055e14 | − | 1.22816e14i | 0.736947 | − | 0.670162i | ||||
\(393\) | 2.66992e14i | 1.43661i | ||||||||
\(394\) | −1.41886e14 | − | 2.24323e12i | −0.752854 | − | 0.0119027i | ||||
\(395\) | 2.18050e14 | − | 2.18050e14i | 1.14096 | − | 1.14096i | ||||
\(396\) | 2.95943e12 | − | 2.77797e12i | 0.0152716 | − | 0.0143352i | ||||
\(397\) | −9.07399e13 | − | 9.07399e13i | −0.461796 | − | 0.461796i | 0.437448 | − | 0.899244i | \(-0.355883\pi\) |
−0.899244 | + | 0.437448i | \(0.855883\pi\) | |||||||
\(398\) | −5.51726e13 | + | 5.34551e13i | −0.276928 | + | 0.268307i | ||||
\(399\) | 1.97429e12 | 0.00977373 | ||||||||
\(400\) | 1.84337e12 | − | 2.91122e13i | 0.00900084 | − | 0.142149i | ||||
\(401\) | −1.18853e14 | −0.572424 | −0.286212 | − | 0.958166i | \(-0.592396\pi\) | ||||
−0.286212 | + | 0.958166i | \(0.592396\pi\) | |||||||
\(402\) | 8.92131e13 | − | 8.64361e13i | 0.423824 | − | 0.410631i | ||||
\(403\) | 1.98827e14 | + | 1.98827e14i | 0.931746 | + | 0.931746i | ||||
\(404\) | 8.43934e12 | + | 8.99061e12i | 0.0390131 | + | 0.0415616i | ||||
\(405\) | −4.79876e13 | + | 4.79876e13i | −0.218840 | + | 0.218840i | ||||
\(406\) | 9.28946e12 | + | 1.46867e11i | 0.0417924 | + | 0.000660742i | ||||
\(407\) | − | 4.70929e12i | − | 0.0209019i | ||||||
\(408\) | −2.19355e14 | − | 1.04110e13i | −0.960541 | − | 0.0455891i | ||||
\(409\) | 2.44879e14i | 1.05797i | 0.848631 | + | 0.528986i | \(0.177428\pi\) | ||||
−0.848631 | + | 0.528986i | \(0.822572\pi\) | |||||||
\(410\) | 4.36807e12 | − | 2.76284e14i | 0.0186200 | − | 1.17773i | ||||
\(411\) | −8.14758e13 | + | 8.14758e13i | −0.342688 | + | 0.342688i | ||||
\(412\) | −1.71619e14 | − | 5.42797e12i | −0.712245 | − | 0.0225270i | ||||
\(413\) | 7.60297e11 | + | 7.60297e11i | 0.00311356 | + | 0.00311356i | ||||
\(414\) | 8.69908e13 | + | 8.97856e13i | 0.351537 | + | 0.362831i | ||||
\(415\) | 4.26469e14 | 1.70068 | ||||||||
\(416\) | 2.47226e13 | − | 3.12118e14i | 0.0972927 | − | 1.22830i | ||||
\(417\) | 1.84170e14 | 0.715270 | ||||||||
\(418\) | −1.76642e12 | − | 1.82317e12i | −0.00677055 | − | 0.00698807i | ||||
\(419\) | 2.30256e13 | + | 2.30256e13i | 0.0871033 | + | 0.0871033i | 0.749316 | − | 0.662213i | \(-0.230382\pi\) |
−0.662213 | + | 0.749316i | \(0.730382\pi\) | |||||||
\(420\) | −1.14140e13 | − | 3.61002e11i | −0.0426153 | − | 0.00134784i | ||||
\(421\) | −2.71463e13 | + | 2.71463e13i | −0.100036 | + | 0.100036i | −0.755354 | − | 0.655317i | \(-0.772535\pi\) |
0.655317 | + | 0.755354i | \(0.272535\pi\) | |||||||
\(422\) | 1.22063e12 | − | 7.72057e13i | 0.00443982 | − | 0.280822i | ||||
\(423\) | 1.89284e14i | 0.679583i | ||||||||
\(424\) | −1.32433e13 | + | 2.79030e14i | −0.0469337 | + | 0.988869i | ||||
\(425\) | − | 5.31309e13i | − | 0.185869i | ||||||
\(426\) | 4.29027e13 | + | 6.78296e11i | 0.148160 | + | 0.00234243i | ||||
\(427\) | 1.97283e13 | − | 1.97283e13i | 0.0672569 | − | 0.0672569i | ||||
\(428\) | 2.76881e14 | + | 2.94968e14i | 0.931865 | + | 0.992736i | ||||
\(429\) | −8.85680e12 | − | 8.85680e12i | −0.0294281 | − | 0.0294281i | ||||
\(430\) | −5.22982e13 | + | 5.06703e13i | −0.171558 | + | 0.166218i | ||||
\(431\) | 4.22363e13 | 0.136792 | 0.0683961 | − | 0.997658i | \(-0.478212\pi\) | ||||
0.0683961 | + | 0.997658i | \(0.478212\pi\) | |||||||
\(432\) | −2.51943e14 | + | 2.21937e14i | −0.805642 | + | 0.709692i | ||||
\(433\) | −3.22774e14 | −1.01909 | −0.509547 | − | 0.860443i | \(-0.670187\pi\) | ||||
−0.509547 | + | 0.860443i | \(0.670187\pi\) | |||||||
\(434\) | 1.53930e13 | − | 1.49139e13i | 0.0479877 | − | 0.0464939i | ||||
\(435\) | 1.04866e14 | + | 1.04866e14i | 0.322807 | + | 0.322807i | ||||
\(436\) | 2.18930e14 | − | 2.05506e14i | 0.665472 | − | 0.624668i | ||||
\(437\) | 5.52860e13 | − | 5.52860e13i | 0.165946 | − | 0.165946i | ||||
\(438\) | 4.41327e14 | + | 6.97743e12i | 1.30814 | + | 0.0206818i | ||||
\(439\) | 1.45795e14i | 0.426764i | 0.976969 | + | 0.213382i | \(0.0684479\pi\) | ||||
−0.976969 | + | 0.213382i | \(0.931552\pi\) | |||||||
\(440\) | 9.87880e12 | + | 1.08633e13i | 0.0285571 | + | 0.0314030i | ||||
\(441\) | − | 1.59443e14i | − | 0.455190i | ||||||
\(442\) | 9.01490e12 | − | 5.70199e14i | 0.0254178 | − | 1.60770i | ||||
\(443\) | 2.05734e14 | − | 2.05734e14i | 0.572909 | − | 0.572909i | −0.360031 | − | 0.932940i | \(-0.617234\pi\) |
0.932940 | + | 0.360031i | \(0.117234\pi\) | |||||||
\(444\) | −3.86240e12 | + | 1.22119e14i | −0.0106231 | + | 0.335875i | ||||
\(445\) | −5.35844e13 | − | 5.35844e13i | −0.145566 | − | 0.145566i | ||||
\(446\) | −1.20076e14 | − | 1.23934e14i | −0.322191 | − | 0.332543i | ||||
\(447\) | 2.21598e14 | 0.587319 | ||||||||
\(448\) | −2.37580e13 | − | 2.26030e12i | −0.0621987 | − | 0.00591748i | ||||
\(449\) | 1.85617e13 | 0.0480024 | 0.0240012 | − | 0.999712i | \(-0.492359\pi\) | ||||
0.0240012 | + | 0.999712i | \(0.492359\pi\) | |||||||
\(450\) | −1.77290e13 | − | 1.82986e13i | −0.0452913 | − | 0.0467464i | ||||
\(451\) | −1.63351e13 | − | 1.63351e13i | −0.0412241 | − | 0.0412241i | ||||
\(452\) | 2.83141e12 | − | 8.95220e13i | 0.00705897 | − | 0.223187i | ||||
\(453\) | −1.77302e14 | + | 1.77302e14i | −0.436690 | + | 0.436690i | ||||
\(454\) | 2.23020e12 | − | 1.41062e14i | 0.00542671 | − | 0.343243i | ||||
\(455\) | − | 2.96551e13i | − | 0.0712912i | ||||||
\(456\) | 4.43106e13 | + | 4.87263e13i | 0.105245 | + | 0.115733i | ||||
\(457\) | − | 5.36809e14i | − | 1.25974i | −0.776701 | − | 0.629869i | \(-0.783109\pi\) | ||
0.776701 | − | 0.629869i | \(-0.216891\pi\) | |||||||
\(458\) | 4.45244e14 | + | 7.03936e12i | 1.03238 | + | 0.0163220i | ||||
\(459\) | −4.32425e14 | + | 4.32425e14i | −0.990698 | + | 0.990698i | ||||
\(460\) | −3.29734e14 | + | 3.09515e14i | −0.746440 | + | 0.700671i | ||||
\(461\) | −1.02395e14 | − | 1.02395e14i | −0.229046 | − | 0.229046i | 0.583248 | − | 0.812294i | \(-0.301782\pi\) |
−0.812294 | + | 0.583248i | \(0.801782\pi\) | |||||||
\(462\) | −6.85685e11 | + | 6.64341e11i | −0.00151563 | + | 0.00146845i | ||||
\(463\) | −6.64099e14 | −1.45057 | −0.725283 | − | 0.688451i | \(-0.758291\pi\) | ||||
−0.725283 | + | 0.688451i | \(0.758291\pi\) | |||||||
\(464\) | 2.04866e14 | + | 2.32564e14i | 0.442202 | + | 0.501988i | ||||
\(465\) | 3.42124e14 | 0.729781 | ||||||||
\(466\) | −5.19567e14 | + | 5.03393e14i | −1.09526 | + | 1.06117i | ||||
\(467\) | −3.58885e14 | − | 3.58885e14i | −0.747675 | − | 0.747675i | 0.226367 | − | 0.974042i | \(-0.427315\pi\) |
−0.974042 | + | 0.226367i | \(0.927315\pi\) | |||||||
\(468\) | −1.87162e14 | − | 1.99388e14i | −0.385359 | − | 0.410532i | ||||
\(469\) | 1.73862e13 | − | 1.73862e13i | 0.0353798 | − | 0.0353798i | ||||
\(470\) | −6.84650e14 | − | 1.08244e13i | −1.37699 | − | 0.0217703i | ||||
\(471\) | − | 3.20212e14i | − | 0.636535i | ||||||
\(472\) | −1.70048e12 | + | 3.58284e13i | −0.00334112 | + | 0.0703957i | ||||
\(473\) | 6.08796e12i | 0.0118232i | ||||||||
\(474\) | −1.05736e13 | + | 6.68789e14i | −0.0202975 | + | 1.28383i | ||||
\(475\) | −1.12675e13 | + | 1.12675e13i | −0.0213802 | + | 0.0213802i | ||||
\(476\) | −4.34464e13 | − | 1.37413e12i | −0.0814920 | − | 0.00257744i | ||||
\(477\) | 1.72526e14 | + | 1.72526e14i | 0.319892 | + | 0.319892i | ||||
\(478\) | −4.66308e14 | − | 4.81289e14i | −0.854711 | − | 0.882171i | ||||
\(479\) | −1.53948e14 | −0.278951 | −0.139475 | − | 0.990226i | \(-0.544542\pi\) | ||||
−0.139475 | + | 0.990226i | \(0.544542\pi\) | |||||||
\(480\) | −2.47263e14 | − | 2.89803e14i | −0.442927 | − | 0.519130i | ||||
\(481\) | −3.17283e14 | −0.561886 | ||||||||
\(482\) | 3.17453e14 | + | 3.27652e14i | 0.555803 | + | 0.573660i | ||||
\(483\) | −2.07928e13 | − | 2.07928e13i | −0.0359918 | − | 0.0359918i | ||||
\(484\) | −5.82799e14 | − | 1.84328e13i | −0.997400 | − | 0.0315459i | ||||
\(485\) | −1.64457e14 | + | 1.64457e14i | −0.278274 | + | 0.278274i | ||||
\(486\) | −7.81776e12 | + | 4.94479e14i | −0.0130792 | + | 0.827271i | ||||
\(487\) | − | 9.15975e14i | − | 1.51522i | −0.652710 | − | 0.757608i | \(-0.726368\pi\) | ||
0.652710 | − | 0.757608i | \(-0.273632\pi\) | |||||||
\(488\) | 9.29681e14 | + | 4.41245e13i | 1.52064 | + | 0.0721723i | ||||
\(489\) | − | 3.96449e14i | − | 0.641193i | ||||||
\(490\) | 5.76712e14 | + | 9.11788e12i | 0.922318 | + | 0.0145819i | ||||
\(491\) | 1.86596e14 | − | 1.86596e14i | 0.295089 | − | 0.295089i | −0.543998 | − | 0.839087i | \(-0.683090\pi\) |
0.839087 | + | 0.543998i | \(0.183090\pi\) | |||||||
\(492\) | 4.10198e14 | + | 4.36993e14i | 0.641483 | + | 0.683386i | ||||
\(493\) | 3.99163e14 | + | 3.99163e14i | 0.617295 | + | 0.617295i | ||||
\(494\) | −1.22834e14 | + | 1.19010e14i | −0.187854 | + | 0.182006i | ||||
\(495\) | 1.28250e13 | 0.0193967 | ||||||||
\(496\) | 7.13557e14 | + | 4.51821e13i | 1.06728 | + | 0.0675799i | ||||
\(497\) | 8.49326e12 | 0.0125636 | ||||||||
\(498\) | −6.64361e14 | + | 6.43681e14i | −0.971947 | + | 0.941692i | ||||
\(499\) | 1.06833e14 | + | 1.06833e14i | 0.154580 | + | 0.154580i | 0.780160 | − | 0.625580i | \(-0.215138\pi\) |
−0.625580 | + | 0.780160i | \(0.715138\pi\) | |||||||
\(500\) | 5.39003e14 | − | 5.05953e14i | 0.771358 | − | 0.724061i | ||||
\(501\) | 4.88267e14 | − | 4.88267e14i | 0.691114 | − | 0.691114i | ||||
\(502\) | 1.29151e15 | + | 2.04190e13i | 1.80813 | + | 0.0285867i | ||||
\(503\) | − | 1.16223e14i | − | 0.160941i | −0.996757 | − | 0.0804706i | \(-0.974358\pi\) | ||
0.996757 | − | 0.0804706i | \(-0.0256423\pi\) | |||||||
\(504\) | −1.54217e13 | + | 1.40241e13i | −0.0211234 | + | 0.0192092i | ||||
\(505\) | 3.89616e13i | 0.0527879i | ||||||||
\(506\) | −5.97696e11 | + | 3.78047e13i | −0.000801037 | + | 0.0506662i | ||||
\(507\) | −2.03673e14 | + | 2.03673e14i | −0.270017 | + | 0.270017i | ||||
\(508\) | 3.88624e13 | − | 1.22873e15i | 0.0509658 | − | 1.61141i | ||||
\(509\) | 8.43081e14 | + | 8.43081e14i | 1.09376 | + | 1.09376i | 0.995124 | + | 0.0986346i | \(0.0314475\pi\) |
0.0986346 | + | 0.995124i | \(0.468552\pi\) | |||||||
\(510\) | −4.82818e14 | − | 4.98330e14i | −0.619652 | − | 0.639560i | ||||
\(511\) | 8.73675e13 | 0.110926 | ||||||||
\(512\) | −4.77436e14 | − | 6.37088e14i | −0.599694 | − | 0.800229i | ||||
\(513\) | 1.83409e14 | 0.227916 | ||||||||
\(514\) | 8.92554e14 | + | 9.21230e14i | 1.09733 | + | 1.13259i | ||||
\(515\) | −3.83624e14 | − | 3.83624e14i | −0.466622 | − | 0.466622i | ||||
\(516\) | 4.99314e12 | − | 1.57870e14i | 0.00600897 | − | 0.189988i | ||||
\(517\) | −4.04796e13 | + | 4.04796e13i | −0.0481990 | + | 0.0481990i | ||||
\(518\) | −3.82311e11 | + | 2.41814e13i | −0.000450405 | + | 0.0284884i | ||||
\(519\) | − | 3.06389e14i | − | 0.357152i | ||||||
\(520\) | 7.31899e14 | − | 6.65572e14i | 0.844175 | − | 0.767674i | ||||
\(521\) | 2.87101e14i | 0.327662i | 0.986488 | + | 0.163831i | \(0.0523852\pi\) | ||||
−0.986488 | + | 0.163831i | \(0.947615\pi\) | |||||||
\(522\) | 2.70669e14 | + | 4.27930e12i | 0.305669 | + | 0.00483265i | ||||
\(523\) | −1.16485e15 | + | 1.16485e15i | −1.30169 | + | 1.30169i | −0.374446 | + | 0.927249i | \(0.622167\pi\) |
−0.927249 | + | 0.374446i | \(0.877833\pi\) | |||||||
\(524\) | −1.28541e15 | + | 1.20659e15i | −1.42141 | + | 1.33426i | ||||
\(525\) | 4.23764e12 | + | 4.23764e12i | 0.00463711 | + | 0.00463711i | ||||
\(526\) | −4.66819e14 | + | 4.52287e14i | −0.505506 | + | 0.489771i | ||||
\(527\) | 1.30227e15 | 1.39554 | ||||||||
\(528\) | −3.17856e13 | − | 2.01265e12i | −0.0337088 | − | 0.00213443i | ||||
\(529\) | −2.11709e14 | −0.222195 | ||||||||
\(530\) | −6.33901e14 | + | 6.14169e14i | −0.658422 | + | 0.637927i | ||||
\(531\) | 2.21529e13 | + | 2.21529e13i | 0.0227725 | + | 0.0227725i | ||||
\(532\) | 8.92225e12 | + | 9.50507e12i | 0.00907737 | + | 0.00967033i | ||||
\(533\) | −1.10056e15 | + | 1.10056e15i | −1.10819 | + | 1.10819i | ||||
\(534\) | 1.64351e14 | + | 2.59841e12i | 0.163793 | + | 0.00258959i | ||||
\(535\) | 1.27827e15i | 1.26089i | ||||||||
\(536\) | 8.19312e14 | + | 3.88862e13i | 0.799914 | + | 0.0379655i | ||||
\(537\) | − | 1.22342e15i | − | 1.18227i | ||||||
\(538\) | 1.54838e13 | − | 9.79364e14i | 0.0148107 | − | 0.936789i | ||||
\(539\) | 3.40978e13 | − | 3.40978e13i | 0.0322841 | − | 0.0322841i | ||||
\(540\) | −1.06034e15 | − | 3.35365e13i | −0.993754 | − | 0.0314306i | ||||
\(541\) | 6.21814e14 | + | 6.21814e14i | 0.576866 | + | 0.576866i | 0.934039 | − | 0.357172i | \(-0.116259\pi\) |
−0.357172 | + | 0.934039i | \(0.616259\pi\) | |||||||
\(542\) | −1.08026e15 | − | 1.11496e15i | −0.992043 | − | 1.02392i | ||||
\(543\) | 3.79725e14 | 0.345199 | ||||||||
\(544\) | −9.41187e14 | − | 1.10311e15i | −0.846997 | − | 0.992719i | ||||
\(545\) | 9.48754e14 | 0.845226 | ||||||||
\(546\) | 4.47591e13 | + | 4.61972e13i | 0.0394750 | + | 0.0407433i | ||||
\(547\) | −7.07617e14 | − | 7.07617e14i | −0.617829 | − | 0.617829i | 0.327145 | − | 0.944974i | \(-0.393913\pi\) |
−0.944974 | + | 0.327145i | \(0.893913\pi\) | |||||||
\(548\) | −7.60465e14 | − | 2.40521e13i | −0.657334 | − | 0.0207902i | ||||
\(549\) | 5.74828e14 | − | 5.74828e14i | 0.491915 | − | 0.491915i | ||||
\(550\) | 1.21812e11 | − | 7.70471e12i | 0.000103204 | − | 0.00652772i | ||||
\(551\) | − | 1.69301e14i | − | 0.142012i | ||||||
\(552\) | 4.65053e13 | − | 9.79844e14i | 0.0386222 | − | 0.813752i | ||||
\(553\) | 1.32397e14i | 0.108866i | ||||||||
\(554\) | −1.97766e15 | − | 3.12671e13i | −1.61009 | − | 0.0254556i | ||||
\(555\) | −2.72976e14 | + | 2.72976e14i | −0.220046 | + | 0.220046i | ||||
\(556\) | 8.32302e14 | + | 8.86670e14i | 0.664308 | + | 0.707702i | ||||
\(557\) | 8.59075e14 | + | 8.59075e14i | 0.678934 | + | 0.678934i | 0.959759 | − | 0.280825i | \(-0.0906081\pi\) |
−0.280825 | + | 0.959759i | \(0.590608\pi\) | |||||||
\(558\) | 4.48509e14 | − | 4.34548e14i | 0.350981 | − | 0.340055i | ||||
\(559\) | 4.10169e14 | 0.317832 | ||||||||
\(560\) | −4.98441e13 | − | 5.65830e13i | −0.0382454 | − | 0.0434162i | ||||
\(561\) | −5.80099e13 | −0.0440764 | ||||||||
\(562\) | 9.57749e14 | − | 9.27936e14i | 0.720613 | − | 0.698182i | ||||
\(563\) | −9.71752e14 | − | 9.71752e14i | −0.724034 | − | 0.724034i | 0.245390 | − | 0.969424i | \(-0.421084\pi\) |
−0.969424 | + | 0.245390i | \(0.921084\pi\) | |||||||
\(564\) | 1.08290e15 | − | 1.01650e15i | 0.799010 | − | 0.750018i | ||||
\(565\) | 2.00111e14 | − | 2.00111e14i | 0.146219 | − | 0.146219i | ||||
\(566\) | −4.88686e14 | − | 7.72617e12i | −0.353622 | − | 0.00559080i | ||||
\(567\) | − | 2.91375e13i | − | 0.0208807i | ||||||
\(568\) | 1.90621e14 | + | 2.09617e14i | 0.135287 | + | 0.148768i | ||||
\(569\) | 1.36146e15i | 0.956949i | 0.878102 | + | 0.478474i | \(0.158810\pi\) | ||||
−0.878102 | + | 0.478474i | \(0.841190\pi\) | |||||||
\(570\) | −3.28964e12 | + | 2.08072e14i | −0.00229001 | + | 0.144844i | ||||
\(571\) | −1.36626e15 | + | 1.36626e15i | −0.941966 | + | 0.941966i | −0.998406 | − | 0.0564400i | \(-0.982025\pi\) |
0.0564400 | + | 0.998406i | \(0.482025\pi\) | |||||||
\(572\) | 2.61457e12 | − | 8.26661e13i | 0.00178535 | − | 0.0564481i | ||||
\(573\) | −8.71002e14 | − | 8.71002e14i | −0.589072 | − | 0.589072i | ||||
\(574\) | 8.25520e13 | + | 8.52043e13i | 0.0552984 | + | 0.0570750i | ||||
\(575\) | 2.37333e14 | 0.157465 | ||||||||
\(576\) | −6.92243e14 | − | 6.58587e13i | −0.454920 | − | 0.0432803i | ||||
\(577\) | −1.37482e15 | −0.894911 | −0.447456 | − | 0.894306i | \(-0.647670\pi\) | ||||
−0.447456 | + | 0.894306i | \(0.647670\pi\) | |||||||
\(578\) | −7.58584e14 | − | 7.82956e14i | −0.489103 | − | 0.504817i | ||||
\(579\) | 1.10247e15 | + | 1.10247e15i | 0.704102 | + | 0.704102i | ||||
\(580\) | −3.09569e13 | + | 9.78778e14i | −0.0195841 | + | 0.619199i | ||||
\(581\) | −1.29474e14 | + | 1.29474e14i | −0.0811357 | + | 0.0811357i | ||||
\(582\) | 7.97483e12 | − | 5.04413e14i | 0.00495045 | − | 0.313119i | ||||
\(583\) | 7.37915e13i | 0.0453763i | ||||||||
\(584\) | 1.96086e15 | + | 2.15627e15i | 1.19447 | + | 1.31350i | ||||
\(585\) | − | 8.64065e14i | − | 0.521422i | ||||||
\(586\) | 1.20943e15 | + | 1.91211e13i | 0.723007 | + | 0.0114308i | ||||
\(587\) | 1.27134e15 | − | 1.27134e15i | 0.752925 | − | 0.752925i | −0.222099 | − | 0.975024i | \(-0.571291\pi\) |
0.975024 | + | 0.222099i | \(0.0712910\pi\) | |||||||
\(588\) | −9.12175e14 | + | 8.56243e14i | −0.535184 | + | 0.502368i | ||||
\(589\) | −2.76172e14 | − | 2.76172e14i | −0.160526 | − | 0.160526i | ||||
\(590\) | −8.13950e13 | + | 7.88613e13i | −0.0468718 | + | 0.0454128i | ||||
\(591\) | 9.72538e14 | 0.554850 | ||||||||
\(592\) | −6.05388e14 | + | 5.33288e14i | −0.342188 | + | 0.301434i | ||||
\(593\) | −1.66805e15 | −0.934131 | −0.467066 | − | 0.884223i | \(-0.654689\pi\) | ||||
−0.467066 | + | 0.884223i | \(0.654689\pi\) | |||||||
\(594\) | −6.36990e13 | + | 6.17162e13i | −0.0353433 | + | 0.0342432i | ||||
\(595\) | −9.71168e13 | − | 9.71168e13i | −0.0533889 | − | 0.0533889i | ||||
\(596\) | 1.00145e15 | + | 1.06686e15i | 0.545473 | + | 0.581105i | ||||
\(597\) | 3.72286e14 | − | 3.72286e14i | 0.200918 | − | 0.200918i | ||||
\(598\) | 2.54704e15 | + | 4.02690e13i | 1.36201 | + | 0.0215335i | ||||
\(599\) | − | 1.85853e15i | − | 0.984741i | −0.870386 | − | 0.492370i | \(-0.836131\pi\) | ||
0.870386 | − | 0.492370i | \(-0.163869\pi\) | |||||||
\(600\) | −9.47792e12 | + | 1.99695e14i | −0.00497601 | + | 0.104842i | ||||
\(601\) | − | 2.26696e15i | − | 1.17932i | −0.807650 | − | 0.589662i | \(-0.799261\pi\) | ||
0.807650 | − | 0.589662i | \(-0.200739\pi\) | |||||||
\(602\) | 4.94234e11 | − | 3.12607e13i | 0.000254772 | − | 0.0161145i | ||||
\(603\) | 5.06586e14 | − | 5.06586e14i | 0.258767 | − | 0.258767i | ||||
\(604\) | −1.65487e15 | − | 5.23404e13i | −0.837647 | − | 0.0264932i | ||||
\(605\) | −1.30275e15 | − | 1.30275e15i | −0.653440 | − | 0.653440i | ||||
\(606\) | −5.88058e13 | − | 6.06951e13i | −0.0292295 | − | 0.0301685i | ||||
\(607\) | −1.39375e15 | −0.686508 | −0.343254 | − | 0.939243i | \(-0.611529\pi\) | ||||
−0.343254 | + | 0.939243i | \(0.611529\pi\) | |||||||
\(608\) | −3.43398e13 | + | 4.33534e14i | −0.0167621 | + | 0.211619i | ||||
\(609\) | −6.36733e13 | −0.0308008 | ||||||||
\(610\) | 2.04631e15 | + | 2.11205e15i | 0.980973 | + | 1.01249i | ||||
\(611\) | 2.72726e15 | + | 2.72726e15i | 1.29569 | + | 1.29569i | ||||
\(612\) | −1.26591e15 | − | 4.00382e13i | −0.596030 | − | 0.0188513i | ||||
\(613\) | −4.24343e13 | + | 4.24343e13i | −0.0198009 | + | 0.0198009i | −0.716938 | − | 0.697137i | \(-0.754457\pi\) |
0.697137 | + | 0.716938i | \(0.254457\pi\) | |||||||
\(614\) | −8.15063e12 | + | 5.15533e14i | −0.00376934 | + | 0.238413i | ||||
\(615\) | 1.89375e15i | 0.867978i | ||||||||
\(616\) | −6.29717e12 | − | 2.98876e11i | −0.00286056 | − | 0.000135768i | ||||
\(617\) | 2.15894e15i | 0.972013i | 0.873955 | + | 0.486007i | \(0.161547\pi\) | ||||
−0.873955 | + | 0.486007i | \(0.838453\pi\) | |||||||
\(618\) | 1.17663e15 | + | 1.86026e13i | 0.525053 | + | 0.00830114i | ||||
\(619\) | 1.84800e15 | − | 1.84800e15i | 0.817339 | − | 0.817339i | −0.168382 | − | 0.985722i | \(-0.553854\pi\) |
0.985722 | + | 0.168382i | \(0.0538543\pi\) | |||||||
\(620\) | 1.54613e15 | + | 1.64713e15i | 0.677786 | + | 0.722060i | ||||
\(621\) | −1.93162e15 | − | 1.93162e15i | −0.839300 | − | 0.839300i | ||||
\(622\) | 7.44963e14 | − | 7.21774e14i | 0.320839 | − | 0.310852i | ||||
\(623\) | 3.25359e13 | 0.0138892 | ||||||||
\(624\) | −1.35600e14 | + | 2.14151e15i | −0.0573777 | + | 0.906161i | ||||
\(625\) | 1.99623e15 | 0.837278 | ||||||||
\(626\) | −3.79705e14 | + | 3.67886e14i | −0.157866 | + | 0.152952i | ||||
\(627\) | 1.23021e13 | + | 1.23021e13i | 0.00507002 | + | 0.00507002i | ||||
\(628\) | 1.54163e15 | − | 1.44711e15i | 0.629801 | − | 0.591183i | ||||
\(629\) | −1.03906e15 | + | 1.03906e15i | −0.420788 | + | 0.420788i | ||||
\(630\) | −6.58540e13 | − | 1.04116e12i | −0.0264368 | − | 0.000417969i | ||||
\(631\) | 1.80781e15i | 0.719435i | 0.933061 | + | 0.359718i | \(0.117127\pi\) | ||||
−0.933061 | + | 0.359718i | \(0.882873\pi\) | |||||||
\(632\) | −3.26762e15 | + | 2.97150e15i | −1.28910 | + | 1.17228i | ||||
\(633\) | 5.29195e14i | 0.206964i | ||||||||
\(634\) | 4.72796e13 | − | 2.99047e15i | 0.0183309 | − | 1.15944i | ||||
\(635\) | 2.74661e15 | − | 2.74661e15i | 1.05570 | − | 1.05570i | ||||
\(636\) | 6.05213e13 | − | 1.91353e15i | 0.0230618 | − | 0.729156i | ||||
\(637\) | −2.29730e15 | − | 2.29730e15i | −0.867861 | − | 0.867861i | ||||
\(638\) | 5.69691e13 | + | 5.87994e13i | 0.0213366 | + | 0.0220221i | ||||
\(639\) | 2.47470e14 | 0.0918898 | ||||||||
\(640\) | 2.77801e14 | − | 2.50011e15i | 0.102269 | − | 0.920384i | ||||
\(641\) | −3.37793e15 | −1.23291 | −0.616456 | − | 0.787389i | \(-0.711432\pi\) | ||||
−0.616456 | + | 0.787389i | \(0.711432\pi\) | |||||||
\(642\) | −1.92933e15 | − | 1.99131e15i | −0.698173 | − | 0.720604i | ||||
\(643\) | 1.45344e15 | + | 1.45344e15i | 0.521480 | + | 0.521480i | 0.918018 | − | 0.396538i | \(-0.129789\pi\) |
−0.396538 | + | 0.918018i | \(0.629789\pi\) | |||||||
\(644\) | 6.13814e12 | − | 1.94072e14i | 0.00218356 | − | 0.0690385i | ||||
\(645\) | 3.52891e14 | − | 3.52891e14i | 0.124469 | − | 0.124469i | ||||
\(646\) | −1.25218e13 | + | 7.92010e14i | −0.00437912 | + | 0.276982i | ||||
\(647\) | − | 4.51422e15i | − | 1.56534i | −0.622436 | − | 0.782670i | \(-0.713857\pi\) | ||
0.622436 | − | 0.782670i | \(-0.286143\pi\) | |||||||
\(648\) | 7.19126e14 | − | 6.53956e14i | 0.247253 | − | 0.224847i | ||||
\(649\) | 9.47507e12i | 0.00323025i | ||||||||
\(650\) | −5.19095e14 | − | 8.20695e12i | −0.175478 | − | 0.00277433i | ||||
\(651\) | −1.03867e14 | + | 1.03867e14i | −0.0348163 | + | 0.0348163i | ||||
\(652\) | 1.90867e15 | − | 1.79164e15i | 0.634409 | − | 0.595509i | ||||
\(653\) | 1.89288e15 | + | 1.89288e15i | 0.623880 | + | 0.623880i | 0.946521 | − | 0.322641i | \(-0.104571\pi\) |
−0.322641 | + | 0.946521i | \(0.604571\pi\) | |||||||
\(654\) | −1.47799e15 | + | 1.43198e15i | −0.483050 | + | 0.468014i | ||||
\(655\) | −5.57045e15 | −1.80536 | ||||||||
\(656\) | −2.50095e14 | + | 3.94972e15i | −0.0803773 | + | 1.26939i | ||||
\(657\) | 2.54565e15 | 0.811313 | ||||||||
\(658\) | 2.11142e14 | − | 2.04570e14i | 0.0667317 | − | 0.0646545i | ||||
\(659\) | −2.29856e15 | − | 2.29856e15i | −0.720420 | − | 0.720420i | 0.248270 | − | 0.968691i | \(-0.420138\pi\) |
−0.968691 | + | 0.248270i | \(0.920138\pi\) | |||||||
\(660\) | −6.88728e13 | − | 7.33718e13i | −0.0214070 | − | 0.0228054i | ||||
\(661\) | −9.03518e13 | + | 9.03518e13i | −0.0278502 | + | 0.0278502i | −0.720895 | − | 0.693045i | \(-0.756269\pi\) |
0.693045 | + | 0.720895i | \(0.256269\pi\) | |||||||
\(662\) | −1.59028e15 | − | 2.51425e13i | −0.486133 | − | 0.00768581i | ||||
\(663\) | 3.90834e15i | 1.18486i | ||||||||
\(664\) | −6.10133e15 | − | 2.89581e14i | −1.83443 | − | 0.0870655i | ||||
\(665\) | 4.11911e13i | 0.0122824i | ||||||||
\(666\) | −1.11395e13 | + | 7.04579e14i | −0.00329425 | + | 0.208363i | ||||
\(667\) | −1.78304e15 | + | 1.78304e15i | −0.522960 | + | 0.522960i | ||||
\(668\) | 4.55730e15 | + | 1.44139e14i | 1.32568 | + | 0.0419286i | ||||
\(669\) | 8.36263e14 | + | 8.36263e14i | 0.241268 | + | 0.241268i | ||||
\(670\) | 1.80338e15 | + | 1.86132e15i | 0.516030 | + | 0.532609i | ||||
\(671\) | 2.45861e14 | 0.0697776 | ||||||||
\(672\) | 1.63050e14 | + | 1.29150e13i | 0.0458976 | + | 0.00363550i | ||||
\(673\) | 5.82094e14 | 0.162521 | 0.0812606 | − | 0.996693i | \(-0.474105\pi\) | ||||
0.0812606 | + | 0.996693i | \(0.474105\pi\) | |||||||
\(674\) | −3.59486e15 | − | 3.71036e15i | −0.995527 | − | 1.02751i | ||||
\(675\) | 3.93670e14 | + | 3.93670e14i | 0.108134 | + | 0.108134i | ||||
\(676\) | −1.90101e15 | − | 6.01254e13i | −0.517938 | − | 0.0163814i | ||||
\(677\) | −5.51457e14 | + | 5.51457e14i | −0.149030 | + | 0.149030i | −0.777685 | − | 0.628655i | \(-0.783606\pi\) |
0.628655 | + | 0.777685i | \(0.283606\pi\) | |||||||
\(678\) | −9.70375e12 | + | 6.13769e14i | −0.00260121 | + | 0.164529i | ||||
\(679\) | − | 9.98564e13i | − | 0.0265517i | ||||||
\(680\) | 2.17212e14 | − | 4.57655e15i | 0.0572908 | − | 1.20709i | ||||
\(681\) | 9.66887e14i | 0.252969i | ||||||||
\(682\) | 1.88847e14 | + | 2.98569e12i | 0.0490113 | + | 0.000774874i | ||||
\(683\) | −1.35222e15 | + | 1.35222e15i | −0.348123 | + | 0.348123i | −0.859410 | − | 0.511287i | \(-0.829169\pi\) |
0.511287 | + | 0.859410i | \(0.329169\pi\) | |||||||
\(684\) | 2.59969e14 | + | 2.76951e14i | 0.0663916 | + | 0.0707285i | ||||
\(685\) | −1.69989e15 | − | 1.69989e15i | −0.430648 | − | 0.430648i | ||||
\(686\) | −3.56406e14 | + | 3.45312e14i | −0.0895701 | + | 0.0867819i | ||||
\(687\) | −3.05186e15 | −0.760856 | ||||||||
\(688\) | 7.82618e14 | − | 6.89410e14i | 0.193559 | − | 0.170507i | ||||
\(689\) | 4.97161e15 | 1.21981 | ||||||||
\(690\) | 2.22601e15 | − | 2.15672e15i | 0.541823 | − | 0.524957i | ||||
\(691\) | 1.10782e15 | + | 1.10782e15i | 0.267510 | + | 0.267510i | 0.828096 | − | 0.560586i | \(-0.189424\pi\) |
−0.560586 | + | 0.828096i | \(0.689424\pi\) | |||||||
\(692\) | 1.47509e15 | − | 1.38464e15i | 0.353373 | − | 0.331705i | ||||
\(693\) | −3.89358e12 | + | 3.89358e12i | −0.000925373 | + | 0.000925373i | ||||
\(694\) | −4.39449e15 | − | 6.94774e13i | −1.03617 | − | 0.0163820i | ||||
\(695\) | 3.84246e15i | 0.898863i | ||||||||
\(696\) | −1.42907e15 | − | 1.57148e15i | −0.331667 | − | 0.364719i | ||||
\(697\) | 7.20840e15i | 1.65981i | ||||||||
\(698\) | 5.67089e13 | − | 3.58688e15i | 0.0129553 | − | 0.819430i | ||||
\(699\) | 3.50587e15 | − | 3.50587e15i | 0.794641 | − | 0.794641i | ||||
\(700\) | −1.25097e12 | + | 3.95525e13i | −0.000281325 | + | 0.00889477i | ||||
\(701\) | 2.35478e14 | + | 2.35478e14i | 0.0525413 | + | 0.0525413i | 0.732889 | − | 0.680348i | \(-0.238171\pi\) |
−0.680348 | + | 0.732889i | \(0.738171\pi\) | |||||||
\(702\) | 4.15805e15 | + | 4.29164e15i | 0.920526 | + | 0.950100i | ||||
\(703\) | 4.40708e14 | 0.0968047 | ||||||||
\(704\) | −1.33956e14 | − | 1.62125e14i | −0.0291953 | − | 0.0353345i | ||||
\(705\) | 4.69284e15 | 1.01483 | ||||||||
\(706\) | −1.72012e15 | − | 1.77538e15i | −0.369089 | − | 0.380948i | ||||
\(707\) | −1.18285e13 | − | 1.18285e13i | −0.00251840 | − | 0.00251840i | ||||
\(708\) | 7.77113e12 | − | 2.45703e14i | 0.00164173 | − | 0.0519072i | ||||
\(709\) | 6.09313e15 | − | 6.09313e15i | 1.27728 | − | 1.27728i | 0.335097 | − | 0.942184i | \(-0.391231\pi\) |
0.942184 | − | 0.335097i | \(-0.108769\pi\) | |||||||
\(710\) | −1.41518e13 | + | 8.95110e14i | −0.00294368 | + | 0.186190i | ||||
\(711\) | 3.85768e15i | 0.796240i | ||||||||
\(712\) | 7.30228e14 | + | 8.02998e14i | 0.149561 | + | 0.164465i | ||||
\(713\) | 5.81716e15i | 1.18228i | ||||||||
\(714\) | 2.97871e14 | + | 4.70937e12i | 0.0600742 | + | 0.000949780i | ||||
\(715\) | 1.84786e14 | − | 1.84786e14i | 0.0369815 | − | 0.0369815i | ||||
\(716\) | 5.89007e15 | − | 5.52891e15i | 1.16976 | − | 1.09804i | ||||
\(717\) | 3.24758e15 | + | 3.24758e15i | 0.640037 | + | 0.640037i | ||||
\(718\) | 1.27895e15 | − | 1.23914e15i | 0.250132 | − | 0.242346i | ||||
\(719\) | 2.52319e15 | 0.489713 | 0.244856 | − | 0.969559i | \(-0.421259\pi\) | ||||
0.244856 | + | 0.969559i | \(0.421259\pi\) | |||||||
\(720\) | −1.45232e15 | − | 1.64867e15i | −0.279726 | − | 0.317545i | ||||
\(721\) | 2.32932e14 | 0.0445230 | ||||||||
\(722\) | −3.61553e15 | + | 3.50299e15i | −0.685832 | + | 0.664483i | ||||
\(723\) | −2.21089e15 | − | 2.21089e15i | −0.416204 | − | 0.416204i | ||||
\(724\) | 1.71606e15 | + | 1.82815e15i | 0.320604 | + | 0.341547i | ||||
\(725\) | 3.63389e14 | − | 3.63389e14i | 0.0673771 | − | 0.0673771i | ||||
\(726\) | 3.99571e15 | + | 6.31726e13i | 0.735263 | + | 0.0116246i | ||||
\(727\) | − | 5.17879e14i | − | 0.0945777i | −0.998881 | − | 0.0472888i | \(-0.984942\pi\) | ||
0.998881 | − | 0.0472888i | \(-0.0150581\pi\) | |||||||
\(728\) | −2.01364e13 | + | 4.24264e14i | −0.00364972 | + | 0.0768978i | ||||
\(729\) | − | 5.24717e15i | − | 0.943896i | ||||||
\(730\) | −1.45575e14 | + | 9.20772e15i | −0.0259903 | + | 1.64390i | ||||
\(731\) | 1.34325e15 | − | 1.34325e15i | 0.238019 | − | 0.238019i | ||||
\(732\) | −6.37555e15 | − | 2.01647e14i | −1.12126 | − | 0.0354634i | ||||
\(733\) | −2.12556e15 | − | 2.12556e15i | −0.371023 | − | 0.371023i | 0.496827 | − | 0.867850i | \(-0.334499\pi\) |
−0.867850 | + | 0.496827i | \(0.834499\pi\) | |||||||
\(734\) | 4.30799e15 | + | 4.44640e15i | 0.746356 | + | 0.770336i | ||||
\(735\) | −3.95299e15 | −0.679744 | ||||||||
\(736\) | 4.92755e15 | − | 4.20423e15i | 0.841013 | − | 0.717560i | ||||
\(737\) | 2.16673e14 | 0.0367057 | ||||||||
\(738\) | 2.40534e15 | + | 2.48261e15i | 0.404451 | + | 0.417445i | ||||
\(739\) | −5.41609e14 | − | 5.41609e14i | −0.0903945 | − | 0.0903945i | 0.660464 | − | 0.750858i | \(-0.270360\pi\) |
−0.750858 | + | 0.660464i | \(0.770360\pi\) | |||||||
\(740\) | −2.54786e15 | − | 8.05840e13i | −0.422086 | − | 0.0133498i | ||||
\(741\) | 8.28842e14 | − | 8.28842e14i | 0.136292 | − | 0.136292i | ||||
\(742\) | 5.99056e12 | − | 3.78907e14i | 0.000977791 | − | 0.0618460i | ||||
\(743\) | − | 1.22006e16i | − | 1.97670i | −0.152185 | − | 0.988352i | \(-0.548631\pi\) | ||
0.152185 | − | 0.988352i | \(-0.451369\pi\) | |||||||
\(744\) | −4.89465e15 | − | 2.32309e14i | −0.787173 | − | 0.0373608i | ||||
\(745\) | 4.62335e15i | 0.738070i | ||||||||
\(746\) | −1.07374e16 | − | 1.69760e14i | −1.70152 | − | 0.0269012i | ||||
\(747\) | −3.77250e15 | + | 3.77250e15i | −0.593424 | + | 0.593424i | ||||
\(748\) | −2.62159e14 | − | 2.79284e14i | −0.0409361 | − | 0.0436101i | ||||
\(749\) | −3.88075e14 | − | 3.88075e14i | −0.0601542 | − | 0.0601542i | ||||
\(750\) | −3.63878e15 | + | 3.52551e15i | −0.559910 | + | 0.542481i | ||||
\(751\) | −4.45402e15 | −0.680351 | −0.340175 | − | 0.940362i | \(-0.610486\pi\) | ||||
−0.340175 | + | 0.940362i | \(0.610486\pi\) | |||||||
\(752\) | 9.78769e15 | + | 6.19752e14i | 1.48417 | + | 0.0939767i | ||||
\(753\) | −8.85250e15 | −1.33258 | ||||||||
\(754\) | 3.96153e15 | − | 3.83822e15i | 0.591999 | − | 0.573571i | ||||
\(755\) | −3.69918e15 | − | 3.69918e15i | −0.548778 | − | 0.548778i | ||||
\(756\) | 3.32094e14 | − | 3.11731e14i | 0.0489093 | − | 0.0459103i | ||||
\(757\) | −1.55016e15 | + | 1.55016e15i | −0.226646 | + | 0.226646i | −0.811290 | − | 0.584644i | \(-0.801234\pi\) |
0.584644 | + | 0.811290i | \(0.301234\pi\) | |||||||
\(758\) | −5.61394e15 | − | 8.87570e13i | −0.814868 | − | 0.0128832i | ||||
\(759\) | − | 2.59127e14i | − | 0.0373407i | ||||||
\(760\) | −1.01661e15 | + | 9.24484e14i | −0.145439 | + | 0.132259i | ||||
\(761\) | − | 7.65104e14i | − | 0.108669i | −0.998523 | − | 0.0543344i | \(-0.982696\pi\) | ||
0.998523 | − | 0.0543344i | \(-0.0173037\pi\) | |||||||
\(762\) | −1.33188e14 | + | 8.42425e15i | −0.0187808 | + | 1.18790i | ||||
\(763\) | −2.88036e14 | + | 2.88036e14i | −0.0403239 | + | 0.0403239i | ||||
\(764\) | 2.57124e14 | − | 8.12961e15i | 0.0357379 | − | 1.12994i | ||||
\(765\) | −2.82971e15 | − | 2.82971e15i | −0.390485 | − | 0.390485i | ||||
\(766\) | 1.89135e15 | + | 1.95211e15i | 0.259127 | + | 0.267453i | ||||
\(767\) | 6.38371e14 | 0.0868358 | ||||||||
\(768\) | 3.34072e15 | + | 4.31401e15i | 0.451183 | + | 0.582632i | ||||
\(769\) | −5.01633e15 | −0.672653 | −0.336327 | − | 0.941745i | \(-0.609185\pi\) | ||||
−0.336327 | + | 0.941745i | \(0.609185\pi\) | |||||||
\(770\) | −1.38606e13 | − | 1.43059e13i | −0.00184537 | − | 0.00190466i | ||||
\(771\) | −6.21616e15 | − | 6.21616e15i | −0.821718 | − | 0.821718i | ||||
\(772\) | −3.25456e14 | + | 1.02901e16i | −0.0427166 | + | 1.35059i | ||||
\(773\) | −2.87468e15 | + | 2.87468e15i | −0.374630 | + | 0.374630i | −0.869160 | − | 0.494530i | \(-0.835340\pi\) |
0.494530 | + | 0.869160i | \(0.335340\pi\) | |||||||
\(774\) | 1.44006e13 | − | 9.10848e14i | 0.00186340 | − | 0.117861i | ||||
\(775\) | − | 1.18556e15i | − | 0.152322i | ||||||
\(776\) | 2.46450e15 | − | 2.24116e15i | 0.314404 | − | 0.285912i | ||||
\(777\) | − | 1.65748e14i | − | 0.0209958i | ||||||
\(778\) | 2.02739e15 | + | 3.20533e13i | 0.255006 | + | 0.00403166i | ||||
\(779\) | 1.52868e15 | − | 1.52868e15i | 0.190924 | − | 0.190924i | ||||
\(780\) | −4.94333e15 | + | 4.64022e15i | −0.613055 | + | 0.575464i | ||||
\(781\) | 5.29229e13 | + | 5.29229e13i | 0.00651723 | + | 0.00651723i | ||||
\(782\) | 8.47315e15 | − | 8.20939e15i | 1.03611 | − | 1.00386i | ||||
\(783\) | −5.91514e15 | −0.718250 | ||||||||
\(784\) | −8.24462e15 | − | 5.22046e14i | −0.994105 | − | 0.0629463i | ||||
\(785\) | 6.68081e15 | 0.799918 | ||||||||
\(786\) | 8.67774e15 | − | 8.40762e15i | 1.03177 | − | 0.999653i | ||||
\(787\) | 8.90637e15 | + | 8.90637e15i | 1.05157 | + | 1.05157i | 0.998596 | + | 0.0529775i | \(0.0168712\pi\) |
0.0529775 | + | 0.998596i | \(0.483129\pi\) | |||||||
\(788\) | 4.39510e15 | + | 4.68220e15i | 0.515318 | + | 0.548979i | ||||
\(789\) | 3.14994e15 | − | 3.14994e15i | 0.366757 | − | 0.366757i | ||||
\(790\) | −1.39534e16 | − | 2.20605e14i | −1.61336 | − | 0.0255074i | ||||
\(791\) | 1.21505e14i | 0.0139516i | ||||||||
\(792\) | −1.83482e14 | − | 8.70841e12i | −0.0209221 | − | 0.000993003i | ||||
\(793\) | − | 1.65646e16i | − | 1.87576i | ||||||
\(794\) | −9.18034e13 | + | 5.80663e15i | −0.0103240 | + | 0.652997i | ||||
\(795\) | 4.27736e15 | − | 4.27736e15i | 0.477701 | − | 0.477701i | ||||
\(796\) | 3.47478e15 | + | 1.09901e14i | 0.385395 | + | 0.0121893i | ||||
\(797\) | −1.42605e13 | − | 1.42605e13i | −0.00157077 | − | 0.00157077i | 0.706321 | − | 0.707892i | \(-0.250354\pi\) |
−0.707892 | + | 0.706321i | \(0.750354\pi\) | |||||||
\(798\) | −6.21707e13 | − | 6.41682e13i | −0.00680096 | − | 0.00701946i | ||||
\(799\) | 1.78629e16 | 1.94064 | ||||||||
\(800\) | −1.00425e15 | + | 8.56834e14i | −0.108354 | + | 0.0924489i | ||||
\(801\) | 9.48004e14 | 0.101585 | ||||||||
\(802\) | 3.74271e15 | + | 3.86296e15i | 0.398316 | + | 0.411113i | ||||
\(803\) | 5.44402e14 | + | 5.44402e14i | 0.0575419 | + | 0.0575419i | ||||
\(804\) | −5.61867e15 | − | 1.77708e14i | −0.589828 | − | 0.0186551i | ||||
\(805\) | 4.33815e14 | − | 4.33815e14i | 0.0452301 | − | 0.0452301i | ||||
\(806\) | 2.01157e14 | − | 1.27233e16i | 0.0208302 | − | 1.31752i | ||||
\(807\) | 6.71291e15i | 0.690409i | ||||||||
\(808\) | 2.64558e13 | − | 5.57410e14i | 0.00270245 | − | 0.0569393i | ||||
\(809\) | − | 1.34639e16i | − | 1.36601i | −0.730414 | − | 0.683005i | \(-0.760673\pi\) | ||
0.730414 | − | 0.683005i | \(-0.239327\pi\) | |||||||
\(810\) | 3.07082e15 | + | 4.85500e13i | 0.309448 | + | 0.00489240i | ||||
\(811\) | −1.18874e16 | + | 1.18874e16i | −1.18979 | + | 1.18979i | −0.212668 | + | 0.977125i | \(0.568215\pi\) |
−0.977125 | + | 0.212668i | \(0.931785\pi\) | |||||||
\(812\) | −2.87753e14 | − | 3.06550e14i | −0.0286063 | − | 0.0304749i | ||||
\(813\) | 7.52340e15 | + | 7.52340e15i | 0.742876 | + | 0.742876i | ||||
\(814\) | −1.53061e14 | + | 1.48296e14i | −0.0150117 | + | 0.0145444i | ||||
\(815\) | 8.27140e15 | 0.805772 | ||||||||
\(816\) | 6.56913e15 | + | 7.45727e15i | 0.635641 | + | 0.721580i | ||||
\(817\) | −5.69727e14 | −0.0547577 | ||||||||
\(818\) | 7.95904e15 | − | 7.71129e15i | 0.759832 | − | 0.736180i | ||||
\(819\) | 2.62325e14 | + | 2.62325e14i | 0.0248759 | + | 0.0248759i | ||||
\(820\) | −9.11729e15 | + | 8.55824e15i | −0.858795 | + | 0.806136i | ||||
\(821\) | −1.13620e16 | + | 1.13620e16i | −1.06309 | + | 1.06309i | −0.0652148 | + | 0.997871i | \(0.520773\pi\) |
−0.997871 | + | 0.0652148i | \(0.979227\pi\) | |||||||
\(822\) | 5.21380e15 | + | 8.24307e13i | 0.484573 | + | 0.00766115i | ||||
\(823\) | − | 1.24911e15i | − | 0.115319i | −0.998336 | − | 0.0576595i | \(-0.981636\pi\) | ||
0.998336 | − | 0.0576595i | \(-0.0183638\pi\) | |||||||
\(824\) | 5.22787e15 | + | 5.74885e15i | 0.479430 | + | 0.527207i | ||||
\(825\) | 5.28108e13i | 0.00481090i | ||||||||
\(826\) | 7.69207e11 | − | 4.86529e13i | 6.96070e−5 | − | 0.00440269i | ||||
\(827\) | −4.94453e15 | + | 4.94453e15i | −0.444472 | + | 0.444472i | −0.893512 | − | 0.449040i | \(-0.851766\pi\) |
0.449040 | + | 0.893512i | \(0.351766\pi\) | |||||||
\(828\) | 1.78848e14 | − | 5.65472e15i | 0.0159705 | − | 0.504946i | ||||
\(829\) | 1.22877e16 | + | 1.22877e16i | 1.08999 | + | 1.08999i | 0.995529 | + | 0.0944611i | \(0.0301128\pi\) |
0.0944611 | + | 0.995529i | \(0.469887\pi\) | |||||||
\(830\) | −1.34296e16 | − | 1.38610e16i | −1.18340 | − | 1.22142i | ||||
\(831\) | 1.35556e16 | 1.18663 | ||||||||
\(832\) | −1.09229e16 | + | 9.02512e15i | −0.949864 | + | 0.784828i | ||||
\(833\) | −1.50468e16 | −1.29986 | ||||||||
\(834\) | −5.79953e15 | − | 5.98586e15i | −0.497714 | − | 0.513704i | ||||
\(835\) | 1.01871e16 | + | 1.01871e16i | 0.868507 | + | 0.868507i | ||||
\(836\) | −3.63166e12 | + | 1.14824e14i | −0.000307589 | + | 0.00972516i | ||||
\(837\) | −9.64907e15 | + | 9.64907e15i | −0.811887 | + | 0.811887i | ||||
\(838\) | 2.32955e13 | − | 1.47346e15i | 0.00194729 | − | 0.123167i | ||||
\(839\) | 1.84580e15i | 0.153283i | 0.997059 | + | 0.0766417i | \(0.0244198\pi\) | ||||
−0.997059 | + | 0.0766417i | \(0.975580\pi\) | |||||||
\(840\) | 3.47694e14 | + | 3.82343e14i | 0.0286854 | + | 0.0315440i | ||||
\(841\) | − | 6.74035e15i | − | 0.552465i | ||||||
\(842\) | 1.73714e15 | + | 2.74644e13i | 0.141455 | + | 0.00223642i | ||||
\(843\) | −6.46258e15 | + | 6.46258e15i | −0.522822 | + | 0.522822i | ||||
\(844\) | −2.54777e15 | + | 2.39154e15i | −0.204775 | + | 0.192218i | ||||
\(845\) | −4.24938e15 | − | 4.24938e15i | −0.339323 | − | 0.339323i | ||||
\(846\) | 6.15209e15 | − | 5.96059e15i | 0.488074 | − | 0.472881i | ||||
\(847\) | 7.91013e14 | 0.0623483 | ||||||||
\(848\) | 9.48603e15 | − | 8.35626e15i | 0.742861 | − | 0.654387i | ||||
\(849\) | 3.34963e15 | 0.260618 | ||||||||
\(850\) | −1.72685e15 | + | 1.67310e15i | −0.133491 | + | 0.129335i | ||||
\(851\) | −4.64144e15 | − | 4.64144e15i | −0.356484 | − | 0.356484i | ||||
\(852\) | −1.32897e15 | − | 1.41578e15i | −0.101414 | − | 0.108038i | ||||
\(853\) | −3.94698e14 | + | 3.94698e14i | −0.0299257 | + | 0.0299257i | −0.721911 | − | 0.691986i | \(-0.756736\pi\) |
0.691986 | + | 0.721911i | \(0.256736\pi\) | |||||||
\(854\) | −1.26245e15 | − | 1.99595e13i | −0.0951037 | − | 0.00150360i | ||||
\(855\) | 1.20019e15i | 0.0898333i | ||||||||
\(856\) | 8.67972e14 | − | 1.82877e16i | 0.0645505 | − | 1.36005i | ||||
\(857\) | 6.04705e15i | 0.446837i | 0.974723 | + | 0.223418i | \(0.0717216\pi\) | ||||
−0.974723 | + | 0.223418i | \(0.928278\pi\) | |||||||
\(858\) | −8.96060e12 | + | 5.66764e14i | −0.000657896 | + | 0.0416124i | ||||
\(859\) | 1.24768e16 | − | 1.24768e16i | 0.910209 | − | 0.910209i | −0.0860789 | − | 0.996288i | \(-0.527434\pi\) |
0.996288 | + | 0.0860789i | \(0.0274337\pi\) | |||||||
\(860\) | 3.29376e15 | + | 1.04175e14i | 0.238754 | + | 0.00755133i | ||||
\(861\) | −5.74931e14 | − | 5.74931e14i | −0.0414093 | − | 0.0414093i | ||||
\(862\) | −1.33003e15 | − | 1.37276e15i | −0.0951855 | − | 0.0982437i | ||||
\(863\) | 7.09979e15 | 0.504878 | 0.252439 | − | 0.967613i | \(-0.418767\pi\) | ||||
0.252439 | + | 0.967613i | \(0.418767\pi\) | |||||||
\(864\) | 1.51471e16 | + | 1.19979e15i | 1.07030 | + | 0.0847771i | ||||
\(865\) | 6.39241e15 | 0.448824 | ||||||||
\(866\) | 1.01642e16 | + | 1.04907e16i | 0.709127 | + | 0.731910i | ||||
\(867\) | 5.28313e15 | + | 5.28313e15i | 0.366257 | + | 0.366257i | ||||
\(868\) | −9.69456e14 | − | 3.06621e13i | −0.0667836 | − | 0.00211224i | ||||
\(869\) | −8.24989e14 | + | 8.24989e14i | −0.0564728 | + | 0.0564728i | ||||
\(870\) | 1.06095e14 | − | 6.71057e15i | 0.00721669 | − | 0.456461i | ||||
\(871\) | − | 1.45981e16i | − | 0.986724i | ||||||
\(872\) | −1.35735e16 | − | 6.44224e14i | −0.911697 | − | 0.0432709i | ||||
\(873\) | − | 2.90954e15i | − | 0.194198i | ||||||
\(874\) | −3.53786e15 | − | 5.59340e13i | −0.234654 | − | 0.00370990i | ||||
\(875\) | −7.09141e14 | + | 7.09141e14i | −0.0467399 | + | 0.0467399i | ||||
\(876\) | −1.36707e16 | − | 1.45637e16i | −0.895400 | − | 0.953890i | ||||
\(877\) | 1.22409e15 | + | 1.22409e15i | 0.0796738 | + | 0.0796738i | 0.745821 | − | 0.666147i | \(-0.232058\pi\) |
−0.666147 | + | 0.745821i | \(0.732058\pi\) | |||||||
\(878\) | 4.73861e15 | − | 4.59111e15i | 0.306500 | − | 0.296960i | ||||
\(879\) | −8.28983e15 | −0.532852 | ||||||||
\(880\) | 4.19913e13 | − | 6.63165e14i | 0.00268228 | − | 0.0423611i | ||||
\(881\) | −2.00411e16 | −1.27219 | −0.636097 | − | 0.771609i | \(-0.719452\pi\) | ||||
−0.636097 | + | 0.771609i | \(0.719452\pi\) | |||||||
\(882\) | −5.18219e15 | + | 5.02088e15i | −0.326916 | + | 0.316740i | ||||
\(883\) | −9.72509e15 | − | 9.72509e15i | −0.609691 | − | 0.609691i | 0.333174 | − | 0.942865i | \(-0.391880\pi\) |
−0.942865 | + | 0.333174i | \(0.891880\pi\) | |||||||
\(884\) | −1.88164e16 | + | 1.76626e16i | −1.17233 | + | 1.10044i | ||||
\(885\) | 5.49227e14 | − | 5.49227e14i | 0.0340066 | − | 0.0340066i | ||||
\(886\) | −1.31653e16 | − | 2.08145e14i | −0.810115 | − | 0.0128080i | ||||
\(887\) | 1.20718e16i | 0.738230i | 0.929384 | + | 0.369115i | \(0.120339\pi\) | ||||
−0.929384 | + | 0.369115i | \(0.879661\pi\) | |||||||
\(888\) | 4.09073e15 | − | 3.72002e15i | 0.248616 | − | 0.226086i | ||||
\(889\) | 1.66771e15i | 0.100730i | ||||||||
\(890\) | −5.42125e13 | + | 3.42898e15i | −0.00325427 | + | 0.205835i | ||||
\(891\) | 1.81561e14 | − | 1.81561e14i | 0.0108317 | − | 0.0108317i | ||||
\(892\) | −2.46869e14 | + | 7.80537e15i | −0.0146373 | + | 0.462793i | ||||
\(893\) | −3.78818e15 | − | 3.78818e15i | −0.223228 | − | 0.223228i | ||||
\(894\) | −6.97814e15 | − | 7.20234e15i | −0.408680 | − | 0.421810i | ||||
\(895\) | 2.55251e16 | 1.48573 | ||||||||
\(896\) | 6.74680e14 | + | 8.43358e14i | 0.0390305 | + | 0.0487885i | ||||
\(897\) | −1.74583e16 | −1.00379 | ||||||||
\(898\) | −5.84510e14 | − | 6.03290e14i | −0.0334020 | − | 0.0344751i | ||||
\(899\) | 8.90687e15 | + | 8.90687e15i | 0.505879 | + | 0.505879i | ||||
\(900\) | −3.64498e13 | + | 1.15245e15i | −0.00205760 | + | 0.0650561i | ||||
\(901\) | 1.62814e16 | − | 1.62814e16i | 0.913496 | − | 0.913496i | ||||
\(902\) | −1.65266e13 | + | 1.04532e15i | −0.000921610 | + | 0.0582925i | ||||
\(903\) | 2.14272e14i | 0.0118763i | ||||||||
\(904\) | −2.99879e15 | + | 2.72703e15i | −0.165204 | + | 0.150233i | ||||
\(905\) | 7.92246e15i | 0.433803i | ||||||||
\(906\) | 1.13459e16 | + | 1.79380e14i | 0.617496 | + | 0.00976267i | ||||
\(907\) | −2.15151e16 | + | 2.15151e16i | −1.16387 | + | 1.16387i | −0.180243 | + | 0.983622i | \(0.557688\pi\) |
−0.983622 | + | 0.180243i | \(0.942312\pi\) | |||||||
\(908\) | −4.65500e15 | + | 4.36957e15i | −0.250292 | + | 0.234945i | ||||
\(909\) | −3.44650e14 | − | 3.44650e14i | −0.0184195 | − | 0.0184195i | ||||
\(910\) | −9.63844e14 | + | 9.33842e14i | −0.0512011 | + | 0.0496073i | ||||
\(911\) | −2.28388e16 | −1.20593 | −0.602964 | − | 0.797768i | \(-0.706014\pi\) | ||||
−0.602964 | + | 0.797768i | \(0.706014\pi\) | |||||||
\(912\) | 1.88349e14 | − | 2.97458e15i | 0.00988533 | − | 0.156118i | ||||
\(913\) | −1.61354e15 | −0.0841765 | ||||||||
\(914\) | −1.74473e16 | + | 1.69042e16i | −0.904740 | + | 0.876577i | ||||
\(915\) | −1.42514e16 | − | 1.42514e16i | −0.734586 | − | 0.734586i | ||||
\(916\) | −1.37920e16 | − | 1.46929e16i | −0.706647 | − | 0.752807i | ||||
\(917\) | 1.69116e15 | − | 1.69116e15i | 0.0861296 | − | 0.0861296i | ||||
\(918\) | 2.76717e16 | + | 4.37493e14i | 1.40088 | + | 0.0221481i | ||||
\(919\) | − | 2.19185e16i | − | 1.10300i | −0.834175 | − | 0.551500i | \(-0.814056\pi\) | ||
0.834175 | − | 0.551500i | \(-0.185944\pi\) | |||||||
\(920\) | 2.04432e16 | + | 9.70273e14i | 1.02262 | + | 0.0485357i | ||||
\(921\) | − | 3.53365e15i | − | 0.175709i | ||||||
\(922\) | −1.03595e14 | + | 6.55245e15i | −0.00512057 | + | 0.323880i | ||||
\(923\) | 3.56561e15 | − | 3.56561e15i | 0.175196 | − | 0.175196i | ||||
\(924\) | 4.31846e13 | + | 1.36585e12i | 0.00210928 | + | 6.67124e-5i | ||||
\(925\) | 9.45938e14 | + | 9.45938e14i | 0.0459286 | + | 0.0459286i | ||||
\(926\) | 2.09126e16 | + | 2.15844e16i | 1.00936 | + | 1.04179i | ||||
\(927\) | 6.78698e15 | 0.325640 | ||||||||
\(928\) | 1.10750e15 | − | 1.39820e16i | 0.0528238 | − | 0.666892i | ||||
\(929\) | 4.13223e16 | 1.95929 | 0.979644 | − | 0.200741i | \(-0.0643350\pi\) | ||||
0.979644 | + | 0.200741i | \(0.0643350\pi\) | |||||||
\(930\) | −1.07735e16 | − | 1.11197e16i | −0.507811 | − | 0.524126i | ||||
\(931\) | 3.19096e15 | + | 3.19096e15i | 0.149520 | + | 0.149520i | ||||
\(932\) | 3.27225e16 | + | 1.03495e15i | 1.52426 | + | 0.0482094i | ||||
\(933\) | −5.02677e15 | + | 5.02677e15i | −0.232777 | + | 0.232777i | ||||
\(934\) | −3.63091e14 | + | 2.29658e16i | −0.0167151 | + | 1.05724i | ||||
\(935\) | − | 1.21030e15i | − | 0.0553898i | ||||||
\(936\) | −5.86718e14 | + | 1.23619e16i | −0.0266939 | + | 0.562428i | ||||
\(937\) | − | 9.03330e15i | − | 0.408582i | −0.978910 | − | 0.204291i | \(-0.934511\pi\) | ||
0.978910 | − | 0.204291i | \(-0.0654888\pi\) | |||||||
\(938\) | −1.11258e15 | − | 1.75900e13i | −0.0500283 | − | 0.000790953i | ||||
\(939\) | 2.56213e15 | − | 2.56213e15i | 0.114535 | − | 0.114535i | ||||
\(940\) | 2.12079e16 | + | 2.25933e16i | 0.942529 | + | 1.00410i | ||||
\(941\) | 3.44069e15 | + | 3.44069e15i | 0.152021 | + | 0.152021i | 0.779020 | − | 0.626999i | \(-0.215717\pi\) |
−0.626999 | + | 0.779020i | \(0.715717\pi\) | |||||||
\(942\) | −1.04075e16 | + | 1.00835e16i | −0.457157 | + | 0.442927i | ||||
\(943\) | −3.21995e16 | −1.40616 | ||||||||
\(944\) | 1.21804e15 | − | 1.07297e15i | 0.0528828 | − | 0.0465846i | ||||
\(945\) | 1.43916e15 | 0.0621204 | ||||||||
\(946\) | 1.97870e14 | − | 1.91711e14i | 0.00849139 | − | 0.00822707i | ||||
\(947\) | −2.83365e16 | − | 2.83365e16i | −1.20899 | − | 1.20899i | −0.971356 | − | 0.237630i | \(-0.923629\pi\) |
−0.237630 | − | 0.971356i | \(-0.576371\pi\) | |||||||
\(948\) | 2.20699e16 | − | 2.07166e16i | 0.936168 | − | 0.878765i | ||||
\(949\) | 3.66784e16 | − | 3.66784e16i | 1.54684 | − | 1.54684i | ||||
\(950\) | 7.21027e14 | + | 1.13995e13i | 0.0302323 | + | 0.000477976i | ||||
\(951\) | 2.04977e16i | 0.854501i | ||||||||
\(952\) | 1.32347e15 | + | 1.45536e15i | 0.0548543 | + | 0.0603208i | ||||
\(953\) | 2.18190e16i | 0.899133i | 0.893247 | + | 0.449566i | \(0.148422\pi\) | ||||
−0.893247 | + | 0.449566i | \(0.851578\pi\) | |||||||
\(954\) | 1.74548e14 | − | 1.10403e16i | 0.00715154 | − | 0.452340i | ||||
\(955\) | 1.81723e16 | − | 1.81723e16i | 0.740273 | − | 0.740273i | ||||
\(956\) | −9.58703e14 | + | 3.03117e16i | −0.0388299 | + | 1.22770i | ||||
\(957\) | −3.96759e14 | − | 3.96759e14i | −0.0159776 | − | 0.0159776i | ||||
\(958\) | 4.84784e15 | + | 5.00359e15i | 0.194105 | + | 0.200342i | ||||
\(959\) | 1.03215e15 | 0.0410905 | ||||||||
\(960\) | −1.63280e15 | + | 1.71624e16i | −0.0646312 | + | 0.679340i | ||||
\(961\) | 3.65018e15 | 0.143660 | ||||||||
\(962\) | 9.99128e15 | + | 1.03123e16i | 0.390983 | + | 0.403545i | ||||
\(963\) | −1.13074e16 | − | 1.13074e16i | −0.439966 | − | 0.439966i | ||||
\(964\) | 6.52666e14 | − | 2.06356e16i | 0.0252503 | − | 0.798351i | ||||
\(965\) | −2.30017e16 | + | 2.30017e16i | −0.884829 | + | 0.884829i | ||||
\(966\) | −2.10365e13 | + | 1.33057e15i | −0.000804636 | + | 0.0508938i | ||||
\(967\) | − | 3.21064e16i | − | 1.22109i | −0.791983 | − | 0.610543i | \(-0.790951\pi\) | ||
0.791983 | − | 0.610543i | \(-0.209049\pi\) | |||||||
\(968\) | 1.77533e16 | + | 1.95225e16i | 0.671375 | + | 0.738280i | ||||
\(969\) | − | 5.42872e15i | − | 0.204134i | ||||||
\(970\) | 1.05239e16 | + | 1.66384e14i | 0.393490 | + | 0.00622111i | ||||
\(971\) | −7.64302e15 | + | 7.64302e15i | −0.284158 | + | 0.284158i | −0.834765 | − | 0.550607i | \(-0.814396\pi\) |
0.550607 | + | 0.834765i | \(0.314396\pi\) | |||||||
\(972\) | 1.63177e16 | − | 1.53171e16i | 0.603245 | − | 0.566255i | ||||
\(973\) | −1.16655e15 | − | 1.16655e15i | −0.0428828 | − | 0.0428828i | ||||
\(974\) | −2.97709e16 | + | 2.88442e16i | −1.08822 | + | 1.05435i | ||||
\(975\) | 3.55806e15 | 0.129327 | ||||||||
\(976\) | −2.78417e16 | − | 3.16059e16i | −1.00629 | − | 1.14234i | ||||
\(977\) | 4.77134e16 | 1.71483 | 0.857413 | − | 0.514628i | \(-0.172070\pi\) | ||||
0.857413 | + | 0.514628i | \(0.172070\pi\) | |||||||
\(978\) | −1.28853e16 | + | 1.24842e16i | −0.460503 | + | 0.446168i | ||||
\(979\) | 2.02736e14 | + | 2.02736e14i | 0.00720488 | + | 0.00720488i | ||||
\(980\) | −1.78644e16 | − | 1.90313e16i | −0.631314 | − | 0.672552i | ||||
\(981\) | −8.39257e15 | + | 8.39257e15i | −0.294928 | + | 0.294928i | ||||
\(982\) | −1.19406e16 | − | 1.88783e14i | −0.417267 | − | 0.00659703i | ||||
\(983\) | 5.15731e16i | 1.79217i | 0.443884 | + | 0.896084i | \(0.353600\pi\) | ||||
−0.443884 | + | 0.896084i | \(0.646400\pi\) | |||||||
\(984\) | 1.28589e15 | − | 2.70931e16i | 0.0444357 | − | 0.936238i | ||||
\(985\) | 2.02907e16i | 0.697266i | ||||||||
\(986\) | 4.03842e14 | − | 2.55433e16i | 0.0138003 | − | 0.872877i | ||||
\(987\) | −1.42472e15 | + | 1.42472e15i | −0.0484155 | + | 0.0484155i | ||||
\(988\) | 7.73610e15 | + | 2.44678e14i | 0.261432 | + | 0.00826860i | ||||
\(989\) | 6.00024e15 | + | 6.00024e15i | 0.201646 | + | 0.201646i | ||||
\(990\) | −4.03860e14 | − | 4.16835e14i | −0.0134970 | − | 0.0139306i | ||||
\(991\) | −5.04756e16 | −1.67755 | −0.838776 | − | 0.544476i | \(-0.816728\pi\) | ||||
−0.838776 | + | 0.544476i | \(0.816728\pi\) | |||||||
\(992\) | −2.10015e16 | − | 2.46147e16i | −0.694123 | − | 0.813544i | ||||
\(993\) | 1.09004e16 | 0.358278 | ||||||||
\(994\) | −2.67454e14 | − | 2.76047e14i | −0.00874226 | − | 0.00902313i | ||||
\(995\) | 7.76728e15 | + | 7.76728e15i | 0.252489 | + | 0.252489i | ||||
\(996\) | 4.18416e16 | + | 1.32337e15i | 1.35264 | + | 0.0427815i | ||||
\(997\) | 5.06141e15 | − | 5.06141e15i | 0.162723 | − | 0.162723i | −0.621049 | − | 0.783772i | \(-0.713293\pi\) |
0.783772 | + | 0.621049i | \(0.213293\pi\) | |||||||
\(998\) | 1.08085e14 | − | 6.83648e15i | 0.00345581 | − | 0.218582i | ||||
\(999\) | − | 1.53977e16i | − | 0.489606i |
(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 | 16.12.e.a.13.6 | yes | 42 | |
4.3 | odd | 2 | 64.12.e.a.17.8 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.33.14 | 42 | |||
8.5 | even | 2 | 128.12.e.b.33.8 | 42 | |||
16.3 | odd | 4 | 128.12.e.a.97.14 | 42 | |||
16.5 | even | 4 | inner | 16.12.e.a.5.6 | ✓ | 42 | |
16.11 | odd | 4 | 64.12.e.a.49.8 | 42 | |||
16.13 | even | 4 | 128.12.e.b.97.8 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.6 | ✓ | 42 | 16.5 | even | 4 | inner | |
16.12.e.a.13.6 | yes | 42 | 1.1 | even | 1 | trivial | |
64.12.e.a.17.8 | 42 | 4.3 | odd | 2 | |||
64.12.e.a.49.8 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.33.14 | 42 | 8.3 | odd | 2 | |||
128.12.e.a.97.14 | 42 | 16.3 | odd | 4 | |||
128.12.e.b.33.8 | 42 | 8.5 | even | 2 | |||
128.12.e.b.97.8 | 42 | 16.13 | even | 4 |