Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(17.5172802326\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 2.15 | ||
Character | \(\chi\) | \(=\) | 43.2 |
Dual form | 43.9.f.a.22.15 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.397118 | − | 0.824624i | −0.0248199 | − | 0.0515390i | 0.888190 | − | 0.459476i | \(-0.151963\pi\) |
−0.913010 | + | 0.407937i | \(0.866248\pi\) | |||||||
\(3\) | 14.6893 | − | 30.5027i | 0.181349 | − | 0.376576i | −0.790400 | − | 0.612591i | \(-0.790127\pi\) |
0.971749 | + | 0.236015i | \(0.0758415\pi\) | |||||||
\(4\) | 159.091 | − | 199.494i | 0.621450 | − | 0.779273i | ||||
\(5\) | 1129.77 | + | 257.863i | 1.80763 | + | 0.412580i | 0.987242 | − | 0.159225i | \(-0.0508996\pi\) |
0.820389 | + | 0.571805i | \(0.193757\pi\) | |||||||
\(6\) | −30.9866 | −0.0239094 | ||||||||
\(7\) | − | 4070.52i | − | 1.69534i | −0.530520 | − | 0.847672i | \(-0.678003\pi\) | ||
0.530520 | − | 0.847672i | \(-0.321997\pi\) | |||||||
\(8\) | −456.118 | − | 104.106i | −0.111357 | − | 0.0254165i | ||||
\(9\) | 3376.08 | + | 4233.47i | 0.514568 | + | 0.645248i | ||||
\(10\) | −236.012 | − | 1034.04i | −0.0236012 | − | 0.103404i | ||||
\(11\) | 6059.04 | + | 7597.79i | 0.413840 | + | 0.518939i | 0.944440 | − | 0.328683i | \(-0.106605\pi\) |
−0.530600 | + | 0.847622i | \(0.678033\pi\) | |||||||
\(12\) | −3748.16 | − | 7783.13i | −0.180756 | − | 0.375344i | ||||
\(13\) | −9966.72 | + | 43667.0i | −0.348963 | + | 1.52890i | 0.430578 | + | 0.902553i | \(0.358310\pi\) |
−0.779541 | + | 0.626351i | \(0.784547\pi\) | |||||||
\(14\) | −3356.65 | + | 1616.48i | −0.0873764 | + | 0.0420783i | ||||
\(15\) | 24461.0 | − | 30673.2i | 0.483181 | − | 0.605889i | ||||
\(16\) | −14440.1 | − | 63266.3i | −0.220339 | − | 0.965368i | ||||
\(17\) | −12268.6 | − | 53752.4i | −0.146893 | − | 0.643580i | −0.993738 | − | 0.111740i | \(-0.964358\pi\) |
0.846845 | − | 0.531840i | \(-0.178499\pi\) | |||||||
\(18\) | 2150.32 | − | 4465.19i | 0.0204839 | − | 0.0425353i | ||||
\(19\) | −67306.1 | − | 53674.9i | −0.516464 | − | 0.411867i | 0.330267 | − | 0.943888i | \(-0.392861\pi\) |
−0.846731 | + | 0.532021i | \(0.821433\pi\) | |||||||
\(20\) | 231178. | − | 184359.i | 1.44486 | − | 1.15224i | ||||
\(21\) | −124162. | − | 59793.2i | −0.638426 | − | 0.307450i | ||||
\(22\) | 3859.17 | − | 8013.65i | 0.0164742 | − | 0.0342089i | ||||
\(23\) | 86276.8 | + | 108188.i | 0.308307 | + | 0.386604i | 0.911712 | − | 0.410831i | \(-0.134761\pi\) |
−0.603405 | + | 0.797435i | \(0.706190\pi\) | |||||||
\(24\) | −9875.57 | + | 12383.6i | −0.0297658 | + | 0.0373251i | ||||
\(25\) | 857946. | + | 413165.i | 2.19634 | + | 1.05770i | ||||
\(26\) | 39966.9 | − | 9122.18i | 0.0874595 | − | 0.0199621i | ||||
\(27\) | 395280. | − | 90220.2i | 0.743790 | − | 0.169765i | ||||
\(28\) | −812045. | − | 647584.i | −1.32114 | − | 1.05357i | ||||
\(29\) | −462291. | − | 959958.i | −0.653618 | − | 1.35725i | −0.919440 | − | 0.393229i | \(-0.871358\pi\) |
0.265823 | − | 0.964022i | \(-0.414356\pi\) | |||||||
\(30\) | −35007.7 | − | 7990.29i | −0.0432194 | − | 0.00986455i | ||||
\(31\) | 11176.2 | − | 5382.18i | 0.0121017 | − | 0.00582789i | −0.427823 | − | 0.903862i | \(-0.640719\pi\) |
0.439925 | + | 0.898035i | \(0.355005\pi\) | |||||||
\(32\) | −140076. | + | 111707.i | −0.133587 | + | 0.106532i | ||||
\(33\) | 320756. | − | 73210.4i | 0.270470 | − | 0.0617330i | ||||
\(34\) | −39453.5 | + | 31463.1i | −0.0295236 | + | 0.0235443i | ||||
\(35\) | 1.04964e6 | − | 4.59875e6i | 0.699466 | − | 3.06456i | ||||
\(36\) | 1.38166e6 | 0.822602 | ||||||||
\(37\) | 3.06706e6i | 1.63650i | 0.574864 | + | 0.818249i | \(0.305055\pi\) | ||||
−0.574864 | + | 0.818249i | \(0.694945\pi\) | |||||||
\(38\) | −17533.1 | + | 76817.5i | −0.00840861 | + | 0.0368405i | ||||
\(39\) | 1.18556e6 | + | 945450.i | 0.512465 | + | 0.408677i | ||||
\(40\) | −488464. | − | 235232.i | −0.190806 | − | 0.0918874i | ||||
\(41\) | −1.79516e6 | + | 864503.i | −0.635283 | + | 0.305936i | −0.723666 | − | 0.690150i | \(-0.757544\pi\) |
0.0883827 | + | 0.996087i | \(0.471830\pi\) | |||||||
\(42\) | 126132.i | 0.0405347i | ||||||||
\(43\) | −3.00071e6 | − | 1.63827e6i | −0.877708 | − | 0.479196i | ||||
\(44\) | 2.47965e6 | 0.661576 | ||||||||
\(45\) | 2.72254e6 | + | 5.65341e6i | 0.663933 | + | 1.37867i | ||||
\(46\) | 54952.1 | − | 114109.i | 0.0122731 | − | 0.0254853i | ||||
\(47\) | 242234. | − | 303752.i | 0.0496414 | − | 0.0622483i | −0.756391 | − | 0.654120i | \(-0.773039\pi\) |
0.806032 | + | 0.591871i | \(0.201611\pi\) | |||||||
\(48\) | −2.14191e6 | − | 488876.i | −0.403493 | − | 0.0920945i | ||||
\(49\) | −1.08044e7 | −1.87419 | ||||||||
\(50\) | − | 871558.i | − | 0.139449i | ||||||
\(51\) | −1.81981e6 | − | 415360.i | −0.268996 | − | 0.0613965i | ||||
\(52\) | 7.12569e6 | + | 8.93534e6i | 0.974572 | + | 1.22207i | ||||
\(53\) | −2.54182e6 | − | 1.11364e7i | −0.322137 | − | 1.41137i | −0.833742 | − | 0.552154i | \(-0.813806\pi\) |
0.511605 | − | 0.859221i | \(-0.329051\pi\) | |||||||
\(54\) | −231371. | − | 290130.i | −0.0272103 | − | 0.0341206i | ||||
\(55\) | 4.88613e6 | + | 1.01462e7i | 0.533967 | + | 1.10879i | ||||
\(56\) | −423766. | + | 1.85664e6i | −0.0430898 | + | 0.188789i | ||||
\(57\) | −2.62591e6 | + | 1.26457e6i | −0.248760 | + | 0.119796i | ||||
\(58\) | −608020. | + | 762434.i | −0.0537287 | + | 0.0673736i | ||||
\(59\) | 2.19176e6 | + | 9.60271e6i | 0.180877 | + | 0.792475i | 0.981214 | + | 0.192924i | \(0.0617971\pi\) |
−0.800336 | + | 0.599551i | \(0.795346\pi\) | |||||||
\(60\) | −2.22758e6 | − | 9.75965e6i | −0.171881 | − | 0.753060i | ||||
\(61\) | −4.86797e6 | + | 1.01084e7i | −0.351583 | + | 0.730071i | −0.999499 | − | 0.0316413i | \(-0.989927\pi\) |
0.647916 | + | 0.761712i | \(0.275641\pi\) | |||||||
\(62\) | −8876.56 | − | 7078.82i | −0.000600728 | − | 0.000479064i | ||||
\(63\) | 1.72324e7 | − | 1.37424e7i | 1.09392 | − | 0.872370i | ||||
\(64\) | −1.48198e7 | − | 7.13683e6i | −0.883328 | − | 0.425388i | ||||
\(65\) | −2.25202e7 | + | 4.67637e7i | −1.26159 | + | 2.61972i | ||||
\(66\) | −187749. | − | 235430.i | −0.00989468 | − | 0.0124075i | ||||
\(67\) | 4.56409e6 | − | 5.72319e6i | 0.226493 | − | 0.284013i | −0.655580 | − | 0.755125i | \(-0.727576\pi\) |
0.882073 | + | 0.471112i | \(0.156147\pi\) | |||||||
\(68\) | −1.26751e7 | − | 6.10401e6i | −0.592811 | − | 0.285483i | ||||
\(69\) | 4.56736e6 | − | 1.04247e6i | 0.201497 | − | 0.0459904i | ||||
\(70\) | −4.20907e6 | + | 960694.i | −0.175305 | + | 0.0400122i | ||||
\(71\) | 2.44937e7 | + | 1.95331e7i | 0.963876 | + | 0.768666i | 0.972884 | − | 0.231294i | \(-0.0742958\pi\) |
−0.00900754 | + | 0.999959i | \(0.502867\pi\) | |||||||
\(72\) | −1.09916e6 | − | 2.28243e6i | −0.0409008 | − | 0.0849314i | ||||
\(73\) | −1.11421e7 | − | 2.54312e6i | −0.392353 | − | 0.0895521i | 0.0217928 | − | 0.999763i | \(-0.493063\pi\) |
−0.414146 | + | 0.910210i | \(0.635920\pi\) | |||||||
\(74\) | 2.52917e6 | − | 1.21799e6i | 0.0843435 | − | 0.0406177i | ||||
\(75\) | 2.52052e7 | − | 2.01005e7i | 0.796610 | − | 0.635276i | ||||
\(76\) | −2.14156e7 | + | 4.88797e6i | −0.641913 | + | 0.146512i | ||||
\(77\) | 3.09270e7 | − | 2.46634e7i | 0.879781 | − | 0.701602i | ||||
\(78\) | 308835. | − | 1.35309e6i | 0.00834349 | − | 0.0365552i | ||||
\(79\) | 2.94536e7 | 0.756189 | 0.378095 | − | 0.925767i | \(-0.376579\pi\) | ||||
0.378095 | + | 0.925767i | \(0.376579\pi\) | |||||||
\(80\) | − | 7.52000e7i | − | 1.83594i | ||||||
\(81\) | −4.85097e6 | + | 2.12535e7i | −0.112691 | + | 0.493731i | ||||
\(82\) | 1.42578e6 | + | 1.13702e6i | 0.0315353 | + | 0.0251486i | ||||
\(83\) | −2.74088e7 | − | 1.31994e7i | −0.577534 | − | 0.278126i | 0.122228 | − | 0.992502i | \(-0.460996\pi\) |
−0.699762 | + | 0.714376i | \(0.746711\pi\) | |||||||
\(84\) | −3.16814e7 | + | 1.52570e7i | −0.636337 | + | 0.306444i | ||||
\(85\) | − | 6.38915e7i | − | 1.22396i | ||||||
\(86\) | −159325. | + | 3.12505e6i | −0.00291265 | + | 0.0571298i | ||||
\(87\) | −3.60720e7 | −0.629642 | ||||||||
\(88\) | −1.97266e6 | − | 4.09627e6i | −0.0328944 | − | 0.0683059i | ||||
\(89\) | −2.49834e7 | + | 5.18785e7i | −0.398190 | + | 0.826851i | 0.601420 | + | 0.798933i | \(0.294602\pi\) |
−0.999610 | + | 0.0279178i | \(0.991112\pi\) | |||||||
\(90\) | 3.58077e6 | − | 4.49014e6i | 0.0545766 | − | 0.0684369i | ||||
\(91\) | 1.77748e8 | + | 4.05698e7i | 2.59202 | + | 0.591612i | ||||
\(92\) | 3.53087e7 | 0.492867 | ||||||||
\(93\) | − | 419965.i | − | 0.00561411i | ||||||
\(94\) | −346677. | − | 79126.7i | −0.00444031 | − | 0.00101347i | ||||
\(95\) | −6.21997e7 | − | 7.79960e7i | −0.763649 | − | 0.957586i | ||||
\(96\) | 1.34974e6 | + | 5.91358e6i | 0.0158915 | + | 0.0696250i | ||||
\(97\) | 3.64439e6 | + | 4.56992e6i | 0.0411659 | + | 0.0516204i | 0.801988 | − | 0.597340i | \(-0.203776\pi\) |
−0.760822 | + | 0.648960i | \(0.775204\pi\) | |||||||
\(98\) | 4.29061e6 | + | 8.90954e6i | 0.0465173 | + | 0.0965941i | ||||
\(99\) | −1.17092e7 | + | 5.13015e7i | −0.121895 | + | 0.534059i | ||||
\(100\) | 2.18915e8 | − | 1.05424e8i | 2.18915 | − | 1.05424i | ||||
\(101\) | −4.81096e7 | + | 6.03275e7i | −0.462324 | + | 0.579736i | −0.957273 | − | 0.289186i | \(-0.906615\pi\) |
0.494949 | + | 0.868922i | \(0.335187\pi\) | |||||||
\(102\) | 380164. | + | 1.66561e6i | 0.00351213 | + | 0.0153876i | ||||
\(103\) | −2.22830e7 | − | 9.76284e7i | −0.197982 | − | 0.867415i | −0.972136 | − | 0.234418i | \(-0.924682\pi\) |
0.774154 | − | 0.632997i | \(-0.218176\pi\) | |||||||
\(104\) | 9.09201e6 | − | 1.88798e7i | 0.0777189 | − | 0.161385i | ||||
\(105\) | −1.24856e8 | − | 9.95692e7i | −1.02719 | − | 0.819158i | ||||
\(106\) | −8.17397e6 | + | 6.51852e6i | −0.0647455 | + | 0.0516328i | ||||
\(107\) | 4.89727e7 | + | 2.35840e7i | 0.373611 | + | 0.179921i | 0.611260 | − | 0.791430i | \(-0.290663\pi\) |
−0.237650 | + | 0.971351i | \(0.576377\pi\) | |||||||
\(108\) | 4.48872e7 | − | 9.32093e7i | 0.329934 | − | 0.685116i | ||||
\(109\) | 5.09467e7 | + | 6.38852e7i | 0.360920 | + | 0.452579i | 0.928827 | − | 0.370514i | \(-0.120818\pi\) |
−0.567907 | + | 0.823092i | \(0.692247\pi\) | |||||||
\(110\) | 6.42639e6 | − | 8.05844e6i | 0.0438931 | − | 0.0550402i | ||||
\(111\) | 9.35535e7 | + | 4.50530e7i | 0.616266 | + | 0.296778i | ||||
\(112\) | −2.57527e8 | + | 5.87789e7i | −1.63663 | + | 0.373550i | ||||
\(113\) | −1.44195e7 | + | 3.29116e6i | −0.0884374 | + | 0.0201853i | −0.266511 | − | 0.963832i | \(-0.585871\pi\) |
0.178073 | + | 0.984017i | \(0.443014\pi\) | |||||||
\(114\) | 2.08559e6 | + | 1.66320e6i | 0.0123484 | + | 0.00984749i | ||||
\(115\) | 6.95754e7 | + | 1.44475e8i | 0.397800 | + | 0.826039i | ||||
\(116\) | −2.65052e8 | − | 6.04965e7i | −1.46386 | − | 0.334117i | ||||
\(117\) | −2.18512e8 | + | 1.05230e8i | −1.16609 | + | 0.561558i | ||||
\(118\) | 7.04824e6 | − | 5.62078e6i | 0.0363540 | − | 0.0289914i | ||||
\(119\) | −2.18801e8 | + | 4.99398e7i | −1.09109 | + | 0.249034i | ||||
\(120\) | −1.43504e7 | + | 1.14441e7i | −0.0692052 | + | 0.0551893i | ||||
\(121\) | 2.66848e7 | − | 1.16914e8i | 0.124487 | − | 0.545412i | ||||
\(122\) | 1.02688e7 | 0.0463534 | ||||||||
\(123\) | 6.74561e7i | 0.294714i | ||||||||
\(124\) | 704324. | − | 3.08584e6i | 0.00297910 | − | 0.0130523i | ||||
\(125\) | 5.08833e8 | + | 4.05781e8i | 2.08418 | + | 1.66208i | ||||
\(126\) | −1.81756e7 | − | 8.75293e6i | −0.0721120 | − | 0.0347273i | ||||
\(127\) | −1.51770e8 | + | 7.30886e7i | −0.583407 | + | 0.280954i | −0.702217 | − | 0.711963i | \(-0.747806\pi\) |
0.118810 | + | 0.992917i | \(0.462092\pi\) | |||||||
\(128\) | 6.09208e7i | 0.226948i | ||||||||
\(129\) | −9.40500e7 | + | 6.74645e7i | −0.339625 | + | 0.243622i | ||||
\(130\) | 4.75056e7 | 0.166330 | ||||||||
\(131\) | 1.46603e8 | + | 3.04425e8i | 0.497805 | + | 1.03370i | 0.986879 | + | 0.161460i | \(0.0516204\pi\) |
−0.489074 | + | 0.872242i | \(0.662665\pi\) | |||||||
\(132\) | 3.64244e7 | − | 7.56359e7i | 0.119976 | − | 0.249134i | ||||
\(133\) | −2.18485e8 | + | 2.73971e8i | −0.698256 | + | 0.875585i | ||||
\(134\) | −6.53196e6 | − | 1.49088e6i | −0.0202593 | − | 0.00462405i | ||||
\(135\) | 4.69840e8 | 1.41454 | ||||||||
\(136\) | 2.57947e7i | 0.0754007i | ||||||||
\(137\) | 4.70298e8 | + | 1.07342e8i | 1.33503 | + | 0.304712i | 0.829697 | − | 0.558213i | \(-0.188513\pi\) |
0.505332 | + | 0.862925i | \(0.331370\pi\) | |||||||
\(138\) | −2.67343e6 | − | 3.35237e6i | −0.00737143 | − | 0.00924349i | ||||
\(139\) | −2.23584e7 | − | 9.79586e7i | −0.0598938 | − | 0.262412i | 0.936112 | − | 0.351702i | \(-0.114397\pi\) |
−0.996006 | + | 0.0892908i | \(0.971540\pi\) | |||||||
\(140\) | −7.50436e8 | − | 9.41017e8i | −1.95345 | − | 2.44954i | ||||
\(141\) | −5.70699e6 | − | 1.18507e7i | −0.0144388 | − | 0.0299825i | ||||
\(142\) | 6.38056e6 | − | 2.79551e7i | 0.0156930 | − | 0.0687554i | ||||
\(143\) | −3.92162e8 | + | 1.88855e8i | −0.937823 | + | 0.451632i | ||||
\(144\) | 2.19085e8 | − | 2.74724e8i | 0.509522 | − | 0.638920i | ||||
\(145\) | −2.74746e8 | − | 1.20374e9i | −0.621525 | − | 2.72308i | ||||
\(146\) | 2.32763e6 | + | 1.01980e7i | 0.00512274 | + | 0.0224442i | ||||
\(147\) | −1.58709e8 | + | 3.29562e8i | −0.339884 | + | 0.705777i | ||||
\(148\) | 6.11860e8 | + | 4.87942e8i | 1.27528 | + | 1.01700i | ||||
\(149\) | −2.85312e8 | + | 2.27528e8i | −0.578861 | + | 0.461626i | −0.868624 | − | 0.495472i | \(-0.834995\pi\) |
0.289763 | + | 0.957099i | \(0.406424\pi\) | |||||||
\(150\) | −2.65848e7 | − | 1.28026e7i | −0.0525133 | − | 0.0252890i | ||||
\(151\) | −4.22807e8 | + | 8.77967e8i | −0.813269 | + | 1.68877i | −0.0923760 | + | 0.995724i | \(0.529446\pi\) |
−0.720893 | + | 0.693046i | \(0.756268\pi\) | |||||||
\(152\) | 2.51117e7 | + | 3.14891e7i | 0.0470437 | + | 0.0589910i | ||||
\(153\) | 1.86139e8 | − | 2.33411e8i | 0.339682 | − | 0.425948i | ||||
\(154\) | −3.26197e7 | − | 1.57088e7i | −0.0579959 | − | 0.0279294i | ||||
\(155\) | 1.40144e7 | − | 3.19870e6i | 0.0242800 | − | 0.00554175i | ||||
\(156\) | 3.77223e8 | − | 8.60987e7i | 0.636942 | − | 0.145378i | ||||
\(157\) | 3.56289e8 | + | 2.84131e8i | 0.586413 | + | 0.467649i | 0.871191 | − | 0.490945i | \(-0.163348\pi\) |
−0.284778 | + | 0.958594i | \(0.591920\pi\) | |||||||
\(158\) | −1.16966e7 | − | 2.42882e7i | −0.0187685 | − | 0.0389733i | ||||
\(159\) | −3.77028e8 | − | 8.60542e7i | −0.589909 | − | 0.134643i | ||||
\(160\) | −1.87058e8 | + | 9.00826e7i | −0.285429 | + | 0.137455i | ||||
\(161\) | 4.40381e8 | − | 3.51192e8i | 0.655428 | − | 0.522686i | ||||
\(162\) | 1.94525e7 | − | 4.43992e6i | 0.0282434 | − | 0.00644636i | ||||
\(163\) | −5.91392e7 | + | 4.71619e7i | −0.0837770 | + | 0.0668100i | −0.664483 | − | 0.747304i | \(-0.731348\pi\) |
0.580706 | + | 0.814114i | \(0.302777\pi\) | |||||||
\(164\) | −1.13131e8 | + | 4.95658e8i | −0.156389 | + | 0.685183i | ||||
\(165\) | 3.81258e8 | 0.514379 | ||||||||
\(166\) | 2.78437e7i | 0.0366686i | ||||||||
\(167\) | 1.66936e8 | − | 7.31393e8i | 0.214626 | − | 0.940340i | −0.746750 | − | 0.665104i | \(-0.768387\pi\) |
0.961377 | − | 0.275235i | \(-0.0887558\pi\) | |||||||
\(168\) | 5.04076e7 | + | 4.01988e7i | 0.0632789 | + | 0.0504633i | ||||
\(169\) | −1.07253e9 | − | 5.16502e8i | −1.31481 | − | 0.633177i | ||||
\(170\) | −5.26865e7 | + | 2.53725e7i | −0.0630817 | + | 0.0303786i | ||||
\(171\) | − | 4.66149e8i | − | 0.545181i | ||||||
\(172\) | −8.04212e8 | + | 3.37988e8i | −0.918876 | + | 0.386178i | ||||
\(173\) | 8.02346e8 | 0.895730 | 0.447865 | − | 0.894101i | \(-0.352185\pi\) | ||||
0.447865 | + | 0.894101i | \(0.352185\pi\) | |||||||
\(174\) | 1.43248e7 | + | 2.97459e7i | 0.0156276 | + | 0.0324511i | ||||
\(175\) | 1.68180e9 | − | 3.49229e9i | 1.79317 | − | 3.72356i | ||||
\(176\) | 3.93191e8 | − | 4.93046e8i | 0.409782 | − | 0.513850i | ||||
\(177\) | 3.25103e8 | + | 7.42028e7i | 0.331229 | + | 0.0756009i | ||||
\(178\) | 5.27016e7 | 0.0524981 | ||||||||
\(179\) | − | 3.88871e8i | − | 0.378786i | −0.981901 | − | 0.189393i | \(-0.939348\pi\) | ||
0.981901 | − | 0.189393i | \(-0.0606520\pi\) | |||||||
\(180\) | 1.56095e9 | + | 3.56277e8i | 1.48696 | + | 0.339389i | ||||
\(181\) | 4.04768e7 | + | 5.07563e7i | 0.0377131 | + | 0.0472907i | 0.800330 | − | 0.599559i | \(-0.204657\pi\) |
−0.762617 | + | 0.646850i | \(0.776086\pi\) | |||||||
\(182\) | −3.71320e7 | − | 1.62686e8i | −0.0338426 | − | 0.148274i | ||||
\(183\) | 2.36827e8 | + | 2.96972e8i | 0.211168 | + | 0.264796i | ||||
\(184\) | −2.80895e7 | − | 5.83284e7i | −0.0245060 | − | 0.0508872i | ||||
\(185\) | −7.90880e8 | + | 3.46507e9i | −0.675187 | + | 2.95819i | ||||
\(186\) | −346313. | + | 166776.i | −0.000289346 | + | 0.000139342i | ||||
\(187\) | 3.34064e8 | − | 4.18902e8i | 0.273189 | − | 0.342568i | ||||
\(188\) | −2.20594e7 | − | 9.66485e7i | −0.0176588 | − | 0.0773684i | ||||
\(189\) | −3.67243e8 | − | 1.60900e9i | −0.287811 | − | 1.26098i | ||||
\(190\) | −3.96167e7 | + | 8.22650e7i | −0.0303994 | + | 0.0631249i | ||||
\(191\) | −1.93138e9 | − | 1.54022e9i | −1.45122 | − | 1.15731i | −0.957769 | − | 0.287540i | \(-0.907162\pi\) |
−0.493455 | − | 0.869771i | \(-0.664266\pi\) | |||||||
\(192\) | −4.35384e8 | + | 3.47208e8i | −0.320382 | + | 0.255496i | ||||
\(193\) | 2.37184e9 | + | 1.14222e9i | 1.70945 | + | 0.823229i | 0.991944 | + | 0.126680i | \(0.0404320\pi\) |
0.717509 | + | 0.696549i | \(0.245282\pi\) | |||||||
\(194\) | 2.32121e6 | − | 4.82005e6i | 0.00163873 | − | 0.00340286i | ||||
\(195\) | 1.09561e9 | + | 1.37385e9i | 0.757735 | + | 0.950170i | ||||
\(196\) | −1.71888e9 | + | 2.15540e9i | −1.16472 | + | 1.46051i | ||||
\(197\) | −7.23546e8 | − | 3.48442e8i | −0.480398 | − | 0.231348i | 0.177981 | − | 0.984034i | \(-0.443043\pi\) |
−0.658379 | + | 0.752686i | \(0.728758\pi\) | |||||||
\(198\) | 4.69544e7 | − | 1.07170e7i | 0.0305503 | − | 0.00697291i | ||||
\(199\) | 5.43097e8 | − | 1.23958e8i | 0.346310 | − | 0.0790430i | −0.0458281 | − | 0.998949i | \(-0.514593\pi\) |
0.392138 | + | 0.919906i | \(0.371735\pi\) | |||||||
\(200\) | −3.48312e8 | − | 2.77769e8i | −0.217695 | − | 0.173606i | ||||
\(201\) | −1.07529e8 | − | 2.23286e8i | −0.0658782 | − | 0.136797i | ||||
\(202\) | 6.88527e7 | + | 1.57152e7i | 0.0413538 | + | 0.00943874i | ||||
\(203\) | −3.90753e9 | + | 1.88177e9i | −2.30101 | + | 1.10811i | ||||
\(204\) | −3.72377e8 | + | 2.96961e8i | −0.215012 | + | 0.171466i | ||||
\(205\) | −2.25104e9 | + | 5.13785e8i | −1.27458 | + | 0.290915i | ||||
\(206\) | −7.16577e7 | + | 5.71451e7i | −0.0397918 | + | 0.0317329i | ||||
\(207\) | −1.66732e8 | + | 7.30501e8i | −0.0908108 | + | 0.397868i | ||||
\(208\) | 2.90657e9 | 1.55285 | ||||||||
\(209\) | − | 8.36596e8i | − | 0.438461i | ||||||
\(210\) | −3.25247e7 | + | 1.42500e8i | −0.0167238 | + | 0.0732719i | ||||
\(211\) | 1.31913e9 | + | 1.05197e9i | 0.665512 | + | 0.530728i | 0.896956 | − | 0.442120i | \(-0.145773\pi\) |
−0.231444 | + | 0.972848i | \(0.574345\pi\) | |||||||
\(212\) | −2.62603e9 | − | 1.26463e9i | −1.30004 | − | 0.626066i | ||||
\(213\) | 9.55607e8 | − | 4.60196e8i | 0.464260 | − | 0.223576i | ||||
\(214\) | − | 4.97497e7i | − | 0.0237211i | ||||||
\(215\) | −2.96766e9 | − | 2.62464e9i | −1.38887 | − | 1.22833i | ||||
\(216\) | −1.89687e8 | −0.0871411 | ||||||||
\(217\) | −2.19083e7 | − | 4.54931e7i | −0.00988029 | − | 0.0205166i | ||||
\(218\) | 3.24494e7 | − | 6.73819e7i | 0.0143675 | − | 0.0298344i | ||||
\(219\) | −2.41242e8 | + | 3.02508e8i | −0.104876 | + | 0.131511i | ||||
\(220\) | 2.80144e9 | + | 6.39409e8i | 1.19589 | + | 0.272953i | ||||
\(221\) | 2.46949e9 | 1.03523 | ||||||||
\(222\) | − | 9.50379e7i | − | 0.0391277i | ||||||
\(223\) | 1.71954e9 | + | 3.92475e8i | 0.695335 | + | 0.158706i | 0.555559 | − | 0.831477i | \(-0.312504\pi\) |
0.139776 | + | 0.990183i | \(0.455362\pi\) | |||||||
\(224\) | 4.54705e8 | + | 5.70182e8i | 0.180608 | + | 0.226476i | ||||
\(225\) | 1.14737e9 | + | 5.02697e9i | 0.447687 | + | 1.96144i | ||||
\(226\) | 8.44021e6 | + | 1.05837e7i | 0.00323534 | + | 0.00405698i | ||||
\(227\) | −7.36190e8 | − | 1.52871e9i | −0.277260 | − | 0.575736i | 0.715113 | − | 0.699009i | \(-0.246375\pi\) |
−0.992373 | + | 0.123273i | \(0.960661\pi\) | |||||||
\(228\) | −1.65484e8 | + | 7.25034e8i | −0.0612375 | + | 0.268299i | ||||
\(229\) | −1.07023e9 | + | 5.15395e8i | −0.389166 | + | 0.187413i | −0.618227 | − | 0.786000i | \(-0.712149\pi\) |
0.229061 | + | 0.973412i | \(0.426435\pi\) | |||||||
\(230\) | 9.15078e7 | − | 1.14747e8i | 0.0326999 | − | 0.0410044i | ||||
\(231\) | −2.98005e8 | − | 1.30564e9i | −0.104659 | − | 0.458540i | ||||
\(232\) | 1.10922e8 | + | 4.85982e8i | 0.0382883 | + | 0.167752i | ||||
\(233\) | 3.26790e8 | − | 6.78587e8i | 0.110878 | − | 0.230241i | −0.838145 | − | 0.545448i | \(-0.816360\pi\) |
0.949023 | + | 0.315207i | \(0.102074\pi\) | |||||||
\(234\) | 1.73550e8 | + | 1.38401e8i | 0.0578843 | + | 0.0461612i | ||||
\(235\) | 3.51995e8 | − | 2.80707e8i | 0.115416 | − | 0.0920410i | ||||
\(236\) | 2.26437e9 | + | 1.09046e9i | 0.729961 | + | 0.351531i | ||||
\(237\) | 4.32653e8 | − | 8.98414e8i | 0.137135 | − | 0.284763i | ||||
\(238\) | 1.28071e8 | + | 1.60596e8i | 0.0399157 | + | 0.0500527i | ||||
\(239\) | −2.74076e9 | + | 3.43680e9i | −0.840000 | + | 1.05333i | 0.157829 | + | 0.987467i | \(0.449551\pi\) |
−0.997829 | + | 0.0658603i | \(0.979021\pi\) | |||||||
\(240\) | −2.29380e9 | − | 1.10464e9i | −0.691370 | − | 0.332946i | ||||
\(241\) | −1.82168e9 | + | 4.15786e8i | −0.540011 | + | 0.123254i | −0.483823 | − | 0.875166i | \(-0.660752\pi\) |
−0.0561887 | + | 0.998420i | \(0.517895\pi\) | |||||||
\(242\) | −1.07007e8 | + | 2.44237e7i | −0.0311997 | + | 0.00712114i | ||||
\(243\) | 2.65680e9 | + | 2.11873e9i | 0.761964 | + | 0.607646i | ||||
\(244\) | 1.24212e9 | + | 2.57929e9i | 0.350433 | + | 0.727682i | ||||
\(245\) | −1.22064e10 | − | 2.78604e9i | −3.38785 | − | 0.773255i | ||||
\(246\) | 5.56259e7 | − | 2.67880e7i | 0.0151893 | − | 0.00731476i | ||||
\(247\) | 3.01464e9 | − | 2.40410e9i | 0.809931 | − | 0.645899i | ||||
\(248\) | −5.65800e6 | + | 1.29140e6i | −0.00149574 | + | 0.000341393i | ||||
\(249\) | −8.05233e8 | + | 6.42152e8i | −0.209471 | + | 0.167048i | ||||
\(250\) | 1.32550e8 | − | 5.80739e8i | 0.0339328 | − | 0.148669i | ||||
\(251\) | −3.90634e8 | −0.0984181 | −0.0492091 | − | 0.998789i | \(-0.515670\pi\) | ||||
−0.0492091 | + | 0.998789i | \(0.515670\pi\) | |||||||
\(252\) | − | 5.62406e9i | − | 1.39459i | ||||||
\(253\) | −2.99233e8 | + | 1.31103e9i | −0.0730344 | + | 0.319985i | ||||
\(254\) | 1.20541e8 | + | 9.61285e7i | 0.0289602 | + | 0.0230950i | ||||
\(255\) | −1.94886e9 | − | 9.38522e8i | −0.460914 | − | 0.221965i | ||||
\(256\) | −3.74363e9 | + | 1.80284e9i | −0.871631 | + | 0.419755i | ||||
\(257\) | − | 3.81750e9i | − | 0.875077i | −0.899200 | − | 0.437539i | \(-0.855850\pi\) | ||
0.899200 | − | 0.437539i | \(-0.144150\pi\) | |||||||
\(258\) | 9.29818e7 | + | 5.07646e7i | 0.0209855 | + | 0.0114573i | ||||
\(259\) | 1.24845e10 | 2.77443 | ||||||||
\(260\) | 5.74630e9 | + | 1.19323e10i | 1.25746 | + | 2.61115i | ||||
\(261\) | 2.50322e9 | − | 5.19799e9i | 0.539433 | − | 1.12014i | ||||
\(262\) | 1.92818e8 | − | 2.41786e8i | 0.0409205 | − | 0.0513127i | ||||
\(263\) | 1.16476e9 | + | 2.65849e8i | 0.243452 | + | 0.0555664i | 0.342506 | − | 0.939516i | \(-0.388724\pi\) |
−0.0990535 | + | 0.995082i | \(0.531582\pi\) | |||||||
\(264\) | −1.53924e8 | −0.0316877 | ||||||||
\(265\) | − | 1.32370e10i | − | 2.68415i | ||||||
\(266\) | 3.12688e8 | + | 7.13689e7i | 0.0624574 | + | 0.0142555i | ||||
\(267\) | 1.21544e9 | + | 1.52412e9i | 0.239161 | + | 0.299898i | ||||
\(268\) | −4.15635e8 | − | 1.82102e9i | −0.0805699 | − | 0.353000i | ||||
\(269\) | −1.84144e9 | − | 2.30909e9i | −0.351680 | − | 0.440993i | 0.574255 | − | 0.818677i | \(-0.305292\pi\) |
−0.925935 | + | 0.377684i | \(0.876721\pi\) | |||||||
\(270\) | −1.86582e8 | − | 3.87442e8i | −0.0351087 | − | 0.0729040i | ||||
\(271\) | 1.91967e9 | − | 8.41060e9i | 0.355917 | − | 1.55937i | −0.407339 | − | 0.913277i | \(-0.633543\pi\) |
0.763256 | − | 0.646096i | \(-0.223599\pi\) | |||||||
\(272\) | −3.22356e9 | + | 1.55238e9i | −0.588925 | + | 0.283611i | ||||
\(273\) | 3.84848e9 | − | 4.82584e9i | 0.692848 | − | 0.868804i | ||||
\(274\) | −9.82466e7 | − | 4.30447e8i | −0.0174307 | − | 0.0763690i | ||||
\(275\) | 2.05918e9 | + | 9.02187e9i | 0.360051 | + | 1.57749i | ||||
\(276\) | 5.18660e8 | − | 1.07701e9i | 0.0893812 | − | 0.185602i | ||||
\(277\) | −7.83652e7 | − | 6.24942e7i | −0.0133108 | − | 0.0106150i | 0.616812 | − | 0.787111i | \(-0.288424\pi\) |
−0.630123 | + | 0.776496i | \(0.716995\pi\) | |||||||
\(278\) | −7.19001e7 | + | 5.73384e7i | −0.0120379 | + | 0.00959989i | ||||
\(279\) | 6.05171e7 | + | 2.91435e7i | 0.00998761 | + | 0.00480978i | ||||
\(280\) | −9.57516e8 | + | 1.98830e9i | −0.155781 | + | 0.323482i | ||||
\(281\) | −6.78215e8 | − | 8.50455e8i | −0.108778 | − | 0.136404i | 0.724462 | − | 0.689315i | \(-0.242088\pi\) |
−0.833240 | + | 0.552911i | \(0.813517\pi\) | |||||||
\(282\) | −7.50602e6 | + | 9.41225e6i | −0.00118690 | + | 0.00148832i | ||||
\(283\) | −9.29968e9 | − | 4.47849e9i | −1.44985 | − | 0.698210i | −0.467279 | − | 0.884110i | \(-0.654766\pi\) |
−0.982569 | + | 0.185901i | \(0.940480\pi\) | |||||||
\(284\) | 7.79347e9 | − | 1.77881e9i | 1.19800 | − | 0.273436i | ||||
\(285\) | −3.29275e9 | + | 7.51550e8i | −0.499091 | + | 0.113914i | ||||
\(286\) | 3.11469e8 | + | 2.48388e8i | 0.0465533 | + | 0.0371250i | ||||
\(287\) | 3.51898e9 | + | 7.30724e9i | 0.518668 | + | 1.07702i | ||||
\(288\) | −9.45815e8 | − | 2.15876e8i | −0.137479 | − | 0.0313787i | ||||
\(289\) | 3.54614e9 | − | 1.70773e9i | 0.508351 | − | 0.244809i | ||||
\(290\) | −8.83526e8 | + | 7.04589e8i | −0.124919 | + | 0.0996193i | ||||
\(291\) | 1.92928e8 | − | 4.40346e7i | 0.0269044 | − | 0.00614076i | ||||
\(292\) | −2.27995e9 | + | 1.81820e9i | −0.313613 | + | 0.250098i | ||||
\(293\) | 2.63164e9 | − | 1.15300e10i | 0.357072 | − | 1.56444i | −0.403375 | − | 0.915035i | \(-0.632163\pi\) |
0.760447 | − | 0.649400i | \(-0.224980\pi\) | |||||||
\(294\) | 3.34791e8 | 0.0448109 | ||||||||
\(295\) | 1.14140e10i | 1.50713i | ||||||||
\(296\) | 3.19300e8 | − | 1.39894e9i | 0.0415941 | − | 0.182236i | ||||
\(297\) | 3.08049e9 | + | 2.45661e9i | 0.395908 | + | 0.315726i | ||||
\(298\) | 3.00928e8 | + | 1.44919e8i | 0.0381590 | + | 0.0183764i | ||||
\(299\) | −5.58414e9 | + | 2.68918e9i | −0.698669 | + | 0.336461i | ||||
\(300\) | − | 8.22611e9i | − | 1.01557i | ||||||
\(301\) | −6.66863e9 | + | 1.22145e10i | −0.812402 | + | 1.48802i | ||||
\(302\) | 8.91898e8 | 0.107223 | ||||||||
\(303\) | 1.13345e9 | + | 2.35364e9i | 0.134472 | + | 0.279235i | ||||
\(304\) | −2.42390e9 | + | 5.03328e9i | −0.283805 | + | 0.589328i | ||||
\(305\) | −8.10627e9 | + | 1.01649e10i | −0.936746 | + | 1.17464i | ||||
\(306\) | −2.66396e8 | − | 6.08032e7i | −0.0303838 | − | 0.00693491i | ||||
\(307\) | 3.62198e9 | 0.407749 | 0.203874 | − | 0.978997i | \(-0.434647\pi\) | ||||
0.203874 | + | 0.978997i | \(0.434647\pi\) | |||||||
\(308\) | − | 1.00935e10i | − | 1.12160i | ||||||
\(309\) | −3.30525e9 | − | 7.54401e8i | −0.362552 | − | 0.0827501i | ||||
\(310\) | −8.20310e6 | − | 1.02864e7i | −0.000888242 | − | 0.00111382i | ||||
\(311\) | 2.03571e9 | + | 8.91902e9i | 0.217608 | + | 0.953401i | 0.959240 | + | 0.282594i | \(0.0911949\pi\) |
−0.741632 | + | 0.670807i | \(0.765948\pi\) | |||||||
\(312\) | −4.42327e8 | − | 5.54661e8i | −0.0466794 | − | 0.0585341i | ||||
\(313\) | −5.21467e9 | − | 1.08284e10i | −0.543312 | − | 1.12820i | −0.974178 | − | 0.225783i | \(-0.927506\pi\) |
0.430866 | − | 0.902416i | \(-0.358208\pi\) | |||||||
\(314\) | 9.28125e7 | − | 4.06638e8i | 0.00954746 | − | 0.0418301i | ||||
\(315\) | 2.30123e10 | − | 1.10822e10i | 2.33732 | − | 1.12560i | ||||
\(316\) | 4.68581e9 | − | 5.87582e9i | 0.469934 | − | 0.589278i | ||||
\(317\) | 1.00358e9 | + | 4.39699e9i | 0.0993840 | + | 0.435430i | 1.00000 | 0.000813299i | \(0.000258881\pi\) | |
−0.900616 | + | 0.434616i | \(0.856884\pi\) | |||||||
\(318\) | 7.87623e7 | + | 3.45080e8i | 0.00770211 | + | 0.0337452i | ||||
\(319\) | 4.49252e9 | − | 9.32881e9i | 0.433838 | − | 0.900873i | ||||
\(320\) | −1.49026e10 | − | 1.18844e10i | −1.42122 | − | 1.13339i | ||||
\(321\) | 1.43875e9 | − | 1.14737e9i | 0.135508 | − | 0.108064i | ||||
\(322\) | −4.64484e8 | − | 2.23684e8i | −0.0432064 | − | 0.0208071i | ||||
\(323\) | −2.05940e9 | + | 4.27639e9i | −0.189204 | + | 0.392886i | ||||
\(324\) | 3.46819e9 | + | 4.34898e9i | 0.314719 | + | 0.394646i | ||||
\(325\) | −2.65926e10 | + | 3.33461e10i | −2.38357 | + | 2.98890i | ||||
\(326\) | 6.23761e7 | + | 3.00388e7i | 0.00552266 | + | 0.00265957i | ||||
\(327\) | 2.69704e9 | − | 6.15582e8i | 0.235883 | − | 0.0538387i | ||||
\(328\) | 9.08805e8 | − | 2.07429e8i | 0.0785191 | − | 0.0179215i | ||||
\(329\) | −1.23643e9 | − | 9.86020e8i | −0.105532 | − | 0.0841593i | ||||
\(330\) | −1.51405e8 | − | 3.14395e8i | −0.0127668 | − | 0.0265106i | ||||
\(331\) | 5.69008e9 | + | 1.29872e9i | 0.474031 | + | 0.108194i | 0.452860 | − | 0.891582i | \(-0.350404\pi\) |
0.0211703 | + | 0.999776i | \(0.493261\pi\) | |||||||
\(332\) | −6.99369e9 | + | 3.36799e9i | −0.575644 | + | 0.277216i | ||||
\(333\) | −1.29843e10 | + | 1.03546e10i | −1.05595 | + | 0.842090i | ||||
\(334\) | −6.69417e8 | + | 1.52790e8i | −0.0537912 | + | 0.0122775i | ||||
\(335\) | 6.63216e9 | − | 5.28897e9i | 0.526594 | − | 0.419945i | ||||
\(336\) | −1.98998e9 | + | 8.71868e9i | −0.156132 | + | 0.684059i | ||||
\(337\) | 1.29168e10 | 1.00146 | 0.500730 | − | 0.865603i | \(-0.333065\pi\) | ||||
0.500730 | + | 0.865603i | \(0.333065\pi\) | |||||||
\(338\) | 1.08954e9i | 0.0834792i | ||||||||
\(339\) | −1.11423e8 | + | 4.88178e8i | −0.00843679 | + | 0.0369640i | ||||
\(340\) | −1.27460e10 | − | 1.01646e10i | −0.953799 | − | 0.760630i | ||||
\(341\) | 1.08610e8 | + | 5.23037e7i | 0.00803251 | + | 0.00386825i | ||||
\(342\) | −3.84398e8 | + | 1.85116e8i | −0.0280981 | + | 0.0135313i | ||||
\(343\) | 2.05136e10i | 1.48206i | ||||||||
\(344\) | 1.19812e9 | + | 1.05964e9i | 0.0855595 | + | 0.0756701i | ||||
\(345\) | 5.42888e9 | 0.383207 | ||||||||
\(346\) | −3.18626e8 | − | 6.61634e8i | −0.0222319 | − | 0.0461650i | ||||
\(347\) | 3.90618e9 | − | 8.11127e9i | 0.269423 | − | 0.559463i | −0.721732 | − | 0.692173i | \(-0.756654\pi\) |
0.991155 | + | 0.132710i | \(0.0423679\pi\) | |||||||
\(348\) | −5.73874e9 | + | 7.19615e9i | −0.391290 | + | 0.490663i | ||||
\(349\) | −1.23220e9 | − | 2.81241e8i | −0.0830573 | − | 0.0189573i | 0.180790 | − | 0.983522i | \(-0.442134\pi\) |
−0.263848 | + | 0.964564i | \(0.584992\pi\) | |||||||
\(350\) | −3.54770e9 | −0.236415 | ||||||||
\(351\) | 1.81599e10i | 1.19643i | ||||||||
\(352\) | −1.69745e9 | − | 3.87432e8i | −0.110567 | − | 0.0252362i | ||||
\(353\) | −1.42121e10 | − | 1.78214e10i | −0.915290 | − | 1.14774i | −0.988621 | − | 0.150429i | \(-0.951934\pi\) |
0.0733312 | − | 0.997308i | \(-0.476637\pi\) | |||||||
\(354\) | −6.79151e7 | − | 2.97555e8i | −0.00432467 | − | 0.0189476i | ||||
\(355\) | 2.26354e10 | + | 2.83839e10i | 1.42520 | + | 1.78714i | ||||
\(356\) | 6.37481e9 | + | 1.32374e10i | 0.396887 | + | 0.824145i | ||||
\(357\) | −1.69073e9 | + | 7.40758e9i | −0.104088 | + | 0.456040i | ||||
\(358\) | −3.20673e8 | + | 1.54428e8i | −0.0195222 | + | 0.00940142i | ||||
\(359\) | 9.17531e9 | − | 1.15055e10i | 0.552386 | − | 0.692671i | −0.424744 | − | 0.905314i | \(-0.639636\pi\) |
0.977130 | + | 0.212643i | \(0.0682072\pi\) | |||||||
\(360\) | −6.53246e8 | − | 2.86206e9i | −0.0388926 | − | 0.170400i | ||||
\(361\) | −2.13007e9 | − | 9.33245e9i | −0.125420 | − | 0.549499i | ||||
\(362\) | 2.57808e7 | − | 5.35344e7i | 0.00150128 | − | 0.00311745i | ||||
\(363\) | −3.17420e9 | − | 2.53134e9i | −0.182813 | − | 0.145789i | ||||
\(364\) | 3.63715e10 | − | 2.90053e10i | 2.07184 | − | 1.65224i | ||||
\(365\) | −1.19323e10 | − | 5.74628e9i | −0.672283 | − | 0.323754i | ||||
\(366\) | 1.50842e8 | − | 3.13226e8i | 0.00840616 | − | 0.0174556i | ||||
\(367\) | −1.66908e10 | − | 2.09296e10i | −0.920054 | − | 1.15371i | −0.987756 | − | 0.156005i | \(-0.950138\pi\) |
0.0677025 | − | 0.997706i | \(-0.478433\pi\) | |||||||
\(368\) | 5.59879e9 | − | 7.02066e9i | 0.305283 | − | 0.382813i | ||||
\(369\) | −9.72045e9 | − | 4.68112e9i | −0.524301 | − | 0.252490i | ||||
\(370\) | 3.17146e9 | − | 7.23864e8i | 0.169220 | − | 0.0386234i | ||||
\(371\) | −4.53311e10 | + | 1.03465e10i | −2.39277 | + | 0.546134i | ||||
\(372\) | −8.37804e7 | − | 6.68127e7i | −0.00437493 | − | 0.00348889i | ||||
\(373\) | −3.84600e9 | − | 7.98631e9i | −0.198689 | − | 0.412583i | 0.777689 | − | 0.628649i | \(-0.216392\pi\) |
−0.976379 | + | 0.216066i | \(0.930677\pi\) | |||||||
\(374\) | −4.78100e8 | − | 1.09123e8i | −0.0244361 | − | 0.00557738i | ||||
\(375\) | 1.98518e10 | − | 9.56012e9i | 1.00386 | − | 0.483435i | ||||
\(376\) | −1.42110e8 | + | 1.13329e8i | −0.00711005 | + | 0.00567008i | ||||
\(377\) | 4.65261e10 | − | 1.06193e10i | 2.30320 | − | 0.525690i | ||||
\(378\) | −1.18098e9 | + | 9.41800e8i | −0.0578463 | + | 0.0461309i | ||||
\(379\) | −4.46490e9 | + | 1.95620e10i | −0.216399 | + | 0.948105i | 0.743715 | + | 0.668496i | \(0.233062\pi\) |
−0.960114 | + | 0.279608i | \(0.909795\pi\) | |||||||
\(380\) | −2.54551e10 | −1.22079 | ||||||||
\(381\) | 5.70301e9i | 0.270648i | ||||||||
\(382\) | −5.03120e8 | + | 2.20431e9i | −0.0236275 | + | 0.103519i | ||||
\(383\) | −1.78535e10 | − | 1.42377e10i | −0.829714 | − | 0.661675i | 0.113618 | − | 0.993525i | \(-0.463756\pi\) |
−0.943332 | + | 0.331849i | \(0.892327\pi\) | |||||||
\(384\) | 1.85825e9 | + | 8.94885e8i | 0.0854631 | + | 0.0411568i | ||||
\(385\) | 4.13001e10 | − | 1.98891e10i | 1.87979 | − | 0.905258i | ||||
\(386\) | − | 2.40948e9i | − | 0.108536i | ||||||
\(387\) | −3.19505e9 | − | 1.82344e10i | −0.142441 | − | 0.812918i | ||||
\(388\) | 1.49146e9 | 0.0658089 | ||||||||
\(389\) | 1.77553e9 | + | 3.68693e9i | 0.0775408 | + | 0.161015i | 0.936135 | − | 0.351641i | \(-0.114376\pi\) |
−0.858594 | + | 0.512656i | \(0.828662\pi\) | |||||||
\(390\) | 6.97825e8 | − | 1.44905e9i | 0.0301639 | − | 0.0626360i | ||||
\(391\) | 4.75685e9 | − | 5.96491e9i | 0.203523 | − | 0.255209i | ||||
\(392\) | 4.92807e9 | + | 1.12480e9i | 0.208705 | + | 0.0476355i | ||||
\(393\) | 1.14393e10 | 0.479544 | ||||||||
\(394\) | 7.35026e8i | 0.0305013i | ||||||||
\(395\) | 3.32758e10 | + | 7.59499e9i | 1.36691 | + | 0.311989i | ||||
\(396\) | 8.37150e9 | + | 1.04975e10i | 0.340426 | + | 0.426881i | ||||
\(397\) | 3.13681e9 | + | 1.37433e10i | 0.126278 | + | 0.553259i | 0.997997 | + | 0.0632540i | \(0.0201478\pi\) |
−0.871720 | + | 0.490005i | \(0.836995\pi\) | |||||||
\(398\) | −3.17893e8 | − | 3.98625e8i | −0.0126692 | − | 0.0158866i | ||||
\(399\) | 5.14746e9 | + | 1.06888e10i | 0.203096 | + | 0.421733i | ||||
\(400\) | 1.37506e10 | − | 6.02452e10i | 0.537132 | − | 2.35333i | ||||
\(401\) | −3.95695e10 | + | 1.90557e10i | −1.53032 | + | 0.736965i | −0.994238 | − | 0.107199i | \(-0.965812\pi\) |
−0.536085 | + | 0.844164i | \(0.680097\pi\) | |||||||
\(402\) | −1.41426e8 | + | 1.77342e8i | −0.00541532 | + | 0.00679059i | ||||
\(403\) | 1.23634e8 | + | 5.41675e8i | 0.00468724 | + | 0.0205361i | ||||
\(404\) | 4.38117e9 | + | 1.91951e10i | 0.164462 | + | 0.720553i | ||||
\(405\) | −1.09610e10 | + | 2.27607e10i | −0.407407 | + | 0.845989i | ||||
\(406\) | 3.10350e9 | + | 2.47496e9i | 0.114222 | + | 0.0910887i | ||||
\(407\) | −2.33029e10 | + | 1.85834e10i | −0.849243 | + | 0.677249i | ||||
\(408\) | 7.86807e8 | + | 3.78906e8i | 0.0283941 | + | 0.0136739i | ||||
\(409\) | −6.29652e8 | + | 1.30749e9i | −0.0225013 | + | 0.0467244i | −0.911917 | − | 0.410376i | \(-0.865398\pi\) |
0.889415 | + | 0.457100i | \(0.151112\pi\) | |||||||
\(410\) | 1.31761e9 | + | 1.65223e9i | 0.0466284 | + | 0.0584702i | ||||
\(411\) | 1.01826e10 | − | 1.27685e10i | 0.356854 | − | 0.447481i | ||||
\(412\) | −2.30213e10 | − | 1.10865e10i | −0.798989 | − | 0.384773i | ||||
\(413\) | 3.90881e10 | − | 8.92159e9i | 1.34352 | − | 0.306649i | ||||
\(414\) | 6.68601e8 | − | 1.52604e8i | 0.0227597 | − | 0.00519474i | ||||
\(415\) | −2.75620e10 | − | 2.19800e10i | −0.929220 | − | 0.741028i | ||||
\(416\) | −3.48181e9 | − | 7.23005e9i | −0.116260 | − | 0.241417i | ||||
\(417\) | −3.31643e9 | − | 7.56952e8i | −0.109680 | − | 0.0250337i | ||||
\(418\) | −6.89877e8 | + | 3.32227e8i | −0.0225978 | + | 0.0108825i | ||||
\(419\) | 1.39795e10 | − | 1.11483e10i | 0.453562 | − | 0.361704i | −0.369903 | − | 0.929070i | \(-0.620609\pi\) |
0.823465 | + | 0.567367i | \(0.192038\pi\) | |||||||
\(420\) | −3.97269e10 | + | 9.06740e9i | −1.27670 | + | 0.291397i | ||||
\(421\) | 8.79759e9 | − | 7.01584e9i | 0.280050 | − | 0.223332i | −0.473384 | − | 0.880856i | \(-0.656968\pi\) |
0.753434 | + | 0.657524i | \(0.228396\pi\) | |||||||
\(422\) | 3.43629e8 | − | 1.50554e9i | 0.0108353 | − | 0.0474725i | ||||
\(423\) | 2.10373e9 | 0.0657095 | ||||||||
\(424\) | 5.34415e9i | 0.165354i | ||||||||
\(425\) | 1.16828e10 | − | 5.11856e10i | 0.358089 | − | 1.56889i | ||||
\(426\) | −7.58978e8 | − | 6.05264e8i | −0.0230457 | − | 0.0183784i | ||||
\(427\) | 4.11466e10 | + | 1.98152e10i | 1.23772 | + | 0.596055i | ||||
\(428\) | 1.24960e10 | − | 6.01775e9i | 0.372388 | − | 0.179333i | ||||
\(429\) | 1.47361e10i | 0.435065i | ||||||||
\(430\) | −9.85833e8 | + | 3.48950e9i | −0.0288356 | + | 0.102068i | ||||
\(431\) | −2.26587e10 | −0.656637 | −0.328319 | − | 0.944567i | \(-0.606482\pi\) | ||||
−0.328319 | + | 0.944567i | \(0.606482\pi\) | |||||||
\(432\) | −1.14158e10 | − | 2.37052e10i | −0.327772 | − | 0.680625i | ||||
\(433\) | −1.88967e10 | + | 3.92393e10i | −0.537568 | + | 1.11627i | 0.438485 | + | 0.898739i | \(0.355515\pi\) |
−0.976053 | + | 0.217533i | \(0.930199\pi\) | |||||||
\(434\) | −2.88145e7 | + | 3.61322e7i | −0.000812180 | + | 0.00101844i | ||||
\(435\) | −4.07531e10 | − | 9.30162e9i | −1.13816 | − | 0.259778i | ||||
\(436\) | 2.08499e10 | 0.576976 | ||||||||
\(437\) | − | 1.19126e10i | − | 0.326649i | ||||||
\(438\) | 3.45257e8 | + | 7.88027e7i | 0.00938094 | + | 0.00214114i | ||||
\(439\) | −1.85863e9 | − | 2.33065e9i | −0.0500421 | − | 0.0627508i | 0.756181 | − | 0.654363i | \(-0.227063\pi\) |
−0.806223 | + | 0.591612i | \(0.798492\pi\) | |||||||
\(440\) | −1.17238e9 | − | 5.13652e9i | −0.0312793 | − | 0.137044i | ||||
\(441\) | −3.64764e10 | − | 4.57399e10i | −0.964400 | − | 1.20932i | ||||
\(442\) | −9.80679e8 | − | 2.03640e9i | −0.0256943 | − | 0.0533549i | ||||
\(443\) | 3.02049e9 | − | 1.32336e10i | 0.0784265 | − | 0.343609i | −0.920457 | − | 0.390843i | \(-0.872184\pi\) |
0.998884 | + | 0.0472340i | \(0.0150406\pi\) | |||||||
\(444\) | 2.38713e10 | − | 1.14958e10i | 0.614249 | − | 0.295807i | ||||
\(445\) | −4.16030e10 | + | 5.21685e10i | −1.06092 | + | 1.33036i | ||||
\(446\) | −3.59218e8 | − | 1.57384e9i | −0.00907860 | − | 0.0397759i | ||||
\(447\) | 2.74919e9 | + | 1.20450e10i | 0.0688613 | + | 0.301701i | ||||
\(448\) | −2.90506e10 | + | 6.03243e10i | −0.721180 | + | 1.49755i | ||||
\(449\) | 2.85463e10 | + | 2.27649e10i | 0.702367 | + | 0.560119i | 0.908235 | − | 0.418461i | \(-0.137430\pi\) |
−0.205868 | + | 0.978580i | \(0.566002\pi\) | |||||||
\(450\) | 3.68972e9 | − | 2.94245e9i | 0.0899793 | − | 0.0717561i | ||||
\(451\) | −1.74452e10 | − | 8.40119e9i | −0.421668 | − | 0.203065i | ||||
\(452\) | −1.63745e9 | + | 3.40019e9i | −0.0392296 | + | 0.0814611i | ||||
\(453\) | 2.05696e10 | + | 2.57935e10i | 0.488465 | + | 0.612515i | ||||
\(454\) | −9.68261e8 | + | 1.21416e9i | −0.0227913 | + | 0.0285794i | ||||
\(455\) | 1.90353e11 | + | 9.16690e10i | 4.44133 | + | 2.13883i | ||||
\(456\) | 1.32937e9 | − | 3.03421e8i | 0.0307459 | − | 0.00701756i | ||||
\(457\) | −5.20859e10 | + | 1.18883e10i | −1.19414 | + | 0.272555i | −0.772979 | − | 0.634431i | \(-0.781234\pi\) |
−0.421161 | + | 0.906986i | \(0.638377\pi\) | |||||||
\(458\) | 8.50015e8 | + | 6.77865e8i | 0.0193181 | + | 0.0154057i | ||||
\(459\) | −9.69911e9 | − | 2.01404e10i | −0.218515 | − | 0.453751i | ||||
\(460\) | 3.98907e10 | + | 9.10478e9i | 0.890923 | + | 0.203347i | ||||
\(461\) | −4.89048e10 | + | 2.35513e10i | −1.08280 | + | 0.521448i | −0.888210 | − | 0.459437i | \(-0.848051\pi\) |
−0.194588 | + | 0.980885i | \(0.562337\pi\) | |||||||
\(462\) | −9.58323e8 | + | 7.64237e8i | −0.0210351 | + | 0.0167749i | ||||
\(463\) | 2.98816e10 | − | 6.82027e9i | 0.650249 | − | 0.148415i | 0.115341 | − | 0.993326i | \(-0.463204\pi\) |
0.534907 | + | 0.844911i | \(0.320347\pi\) | |||||||
\(464\) | −5.40575e10 | + | 4.31094e10i | −1.16623 | + | 0.930037i | ||||
\(465\) | 1.08293e8 | − | 4.74464e8i | 0.00231627 | − | 0.0101482i | ||||
\(466\) | −6.89354e8 | −0.0146184 | ||||||||
\(467\) | 4.72775e10i | 0.994002i | 0.867750 | + | 0.497001i | \(0.165566\pi\) | ||||
−0.867750 | + | 0.497001i | \(0.834434\pi\) | |||||||
\(468\) | −1.37706e10 | + | 6.03328e10i | −0.287057 | + | 1.25768i | ||||
\(469\) | −2.32964e10 | − | 1.85782e10i | −0.481500 | − | 0.383984i | ||||
\(470\) | −3.71261e8 | − | 1.78790e8i | −0.00760831 | − | 0.00366397i | ||||
\(471\) | 1.39004e10 | − | 6.69407e9i | 0.282451 | − | 0.136021i | ||||
\(472\) | − | 4.60815e9i | − | 0.0928450i | ||||||
\(473\) | −5.73414e9 | − | 3.27251e10i | −0.114558 | − | 0.653788i | ||||
\(474\) | −9.12669e8 | −0.0180801 | ||||||||
\(475\) | −3.55685e10 | − | 7.38586e10i | −0.698700 | − | 1.45086i | ||||
\(476\) | −2.48465e10 | + | 5.15944e10i | −0.483992 | + | 1.00502i | ||||
\(477\) | 3.85644e10 | − | 4.83582e10i | 0.744925 | − | 0.934107i | ||||
\(478\) | 3.92248e9 | + | 8.95280e8i | 0.0751361 | + | 0.0171493i | ||||
\(479\) | −6.44775e10 | −1.22480 | −0.612401 | − | 0.790547i | \(-0.709796\pi\) | ||||
−0.612401 | + | 0.790547i | \(0.709796\pi\) | |||||||
\(480\) | 7.02903e9i | 0.132413i | ||||||||
\(481\) | −1.33930e11 | − | 3.05685e10i | −2.50205 | − | 0.571077i | ||||
\(482\) | 1.06629e9 | + | 1.33708e9i | 0.0197554 | + | 0.0247725i | ||||
\(483\) | −4.24340e9 | − | 1.85915e10i | −0.0779696 | − | 0.341607i | ||||
\(484\) | −1.90783e10 | − | 2.39234e10i | −0.347663 | − | 0.435955i | ||||
\(485\) | 2.93891e9 | + | 6.10271e9i | 0.0531152 | + | 0.110295i | ||||
\(486\) | 6.92092e8 | − | 3.03225e9i | 0.0124056 | − | 0.0543526i | ||||
\(487\) | 6.64368e10 | − | 3.19943e10i | 1.18112 | − | 0.568796i | 0.262881 | − | 0.964828i | \(-0.415327\pi\) |
0.918237 | + | 0.396032i | \(0.129613\pi\) | |||||||
\(488\) | 3.27272e9 | − | 4.10386e9i | 0.0577071 | − | 0.0723625i | ||||
\(489\) | 5.69851e8 | + | 2.49668e9i | 0.00996611 | + | 0.0436644i | ||||
\(490\) | 2.54996e9 | + | 1.11721e10i | 0.0442333 | + | 0.193799i | ||||
\(491\) | 2.25171e10 | − | 4.67573e10i | 0.387424 | − | 0.804495i | −0.612478 | − | 0.790488i | \(-0.709827\pi\) |
0.999902 | − | 0.0140069i | \(-0.00445869\pi\) | |||||||
\(492\) | 1.34571e10 | + | 1.07317e10i | 0.229663 | + | 0.183150i | ||||
\(493\) | −4.59284e10 | + | 3.66267e10i | −0.777488 | + | 0.620026i | ||||
\(494\) | −3.17965e9 | − | 1.53124e9i | −0.0533914 | − | 0.0257119i | ||||
\(495\) | −2.64575e10 | + | 5.49395e10i | −0.440684 | + | 0.915090i | ||||
\(496\) | −5.01897e8 | − | 6.29359e8i | −0.00829254 | − | 0.0103985i | ||||
\(497\) | 7.95099e10 | − | 9.97023e10i | 1.30315 | − | 1.63410i | ||||
\(498\) | 8.49306e8 | + | 4.09004e8i | 0.0138085 | + | 0.00664983i | ||||
\(499\) | −6.10292e10 | + | 1.39295e10i | −0.984318 | + | 0.224664i | −0.684245 | − | 0.729252i | \(-0.739868\pi\) |
−0.300073 | + | 0.953916i | \(0.597011\pi\) | |||||||
\(500\) | 1.61902e11 | − | 3.69530e10i | 2.59043 | − | 0.591248i | ||||
\(501\) | −1.98573e10 | − | 1.58356e10i | −0.315187 | − | 0.251353i | ||||
\(502\) | 1.55128e8 | + | 3.22126e8i | 0.00244273 | + | 0.00507237i | ||||
\(503\) | 9.19584e10 | + | 2.09889e10i | 1.43655 | + | 0.327882i | 0.868735 | − | 0.495277i | \(-0.164934\pi\) |
0.567810 | + | 0.823159i | \(0.307791\pi\) | |||||||
\(504\) | −9.29070e9 | + | 4.47417e9i | −0.143988 | + | 0.0693410i | ||||
\(505\) | −6.99090e10 | + | 5.57505e10i | −1.07490 | + | 0.857203i | ||||
\(506\) | 1.19994e9 | − | 2.73877e8i | 0.0183044 | − | 0.00417786i | ||||
\(507\) | −3.15094e10 | + | 2.51279e10i | −0.476879 | + | 0.380298i | ||||
\(508\) | −9.56453e9 | + | 4.19050e10i | −0.143618 | + | 0.629232i | ||||
\(509\) | −1.02014e10 | −0.151980 | −0.0759901 | − | 0.997109i | \(-0.524212\pi\) | ||||
−0.0759901 | + | 0.997109i | \(0.524212\pi\) | |||||||
\(510\) | 1.97978e9i | 0.0292642i | ||||||||
\(511\) | −1.03518e10 | + | 4.53543e10i | −0.151822 | + | 0.665174i | ||||
\(512\) | 1.51666e10 | + | 1.20949e10i | 0.220702 | + | 0.176004i | ||||
\(513\) | −3.14474e10 | − | 1.51443e10i | −0.454062 | − | 0.218665i | ||||
\(514\) | −3.14800e9 | + | 1.51600e9i | −0.0451006 | + | 0.0217193i | ||||
\(515\) | − | 1.16044e11i | − | 1.64965i | ||||||
\(516\) | −1.50377e9 | + | 2.94954e10i | −0.0212120 | + | 0.416060i | ||||
\(517\) | 3.77555e9 | 0.0528467 | ||||||||
\(518\) | −4.95784e9 | − | 1.02951e10i | −0.0688610 | − | 0.142991i | ||||
\(519\) | 1.17859e10 | − | 2.44737e10i | 0.162440 | − | 0.337310i | ||||
\(520\) | 1.51403e10 | − | 1.89853e10i | 0.207071 | − | 0.259659i | ||||
\(521\) | 1.10840e11 | + | 2.52985e10i | 1.50434 | + | 0.343355i | 0.893740 | − | 0.448585i | \(-0.148072\pi\) |
0.610598 | + | 0.791941i | \(0.290929\pi\) | |||||||
\(522\) | −5.28047e9 | −0.0711198 | ||||||||
\(523\) | 4.60497e10i | 0.615488i | 0.951469 | + | 0.307744i | \(0.0995740\pi\) | ||||
−0.951469 | + | 0.307744i | \(0.900426\pi\) | |||||||
\(524\) | 8.40543e10 | + | 1.91848e10i | 1.11490 | + | 0.254468i | ||||
\(525\) | −8.18196e10 | − | 1.02599e11i | −1.07701 | − | 1.35053i | ||||
\(526\) | −2.43322e8 | − | 1.06606e9i | −0.00317862 | − | 0.0139264i | ||||
\(527\) | −4.26422e8 | − | 5.34717e8i | −0.00552838 | − | 0.00693236i | ||||
\(528\) | −9.26351e9 | − | 1.92359e10i | −0.119190 | − | 0.247501i | ||||
\(529\) | 1.31649e10 | − | 5.76794e10i | 0.168111 | − | 0.736543i | ||||
\(530\) | −1.09156e10 | + | 5.25667e9i | −0.138339 | + | 0.0666204i | ||||
\(531\) | −3.32532e10 | + | 4.16983e10i | −0.418269 | + | 0.524493i | ||||
\(532\) | 1.98966e10 | + | 8.71728e10i | 0.248389 | + | 1.08826i | ||||
\(533\) | −1.98585e10 | − | 8.70056e10i | −0.246057 | − | 1.07805i | ||||
\(534\) | 7.74150e8 | − | 1.60754e9i | 0.00952051 | − | 0.0197695i | ||||
\(535\) | 4.92465e10 | + | 3.92727e10i | 0.601118 | + | 0.479376i | ||||
\(536\) | −2.67758e9 | + | 2.13530e9i | −0.0324402 | + | 0.0258702i | ||||
\(537\) | −1.18616e10 | − | 5.71225e9i | −0.142642 | − | 0.0686926i | ||||
\(538\) | −1.17286e9 | + | 2.43547e9i | −0.0139997 | + | 0.0290706i | ||||
\(539\) | −6.54640e10 | − | 8.20892e10i | −0.775617 | − | 0.972593i | ||||
\(540\) | 7.47474e10 | − | 9.37303e10i | 0.879065 | − | 1.10231i | ||||
\(541\) | 1.83167e9 | + | 8.82087e8i | 0.0213825 | + | 0.0102973i | 0.444544 | − | 0.895757i | \(-0.353366\pi\) |
−0.423162 | + | 0.906054i | \(0.639080\pi\) | |||||||
\(542\) | −7.69792e9 | + | 1.75700e9i | −0.0892024 | + | 0.0203599i | ||||
\(543\) | 2.14278e9 | − | 4.89075e8i | 0.0246478 | − | 0.00562570i | ||||
\(544\) | 7.72305e9 | + | 6.15893e9i | 0.0881847 | + | 0.0703250i | ||||
\(545\) | 4.10845e10 | + | 8.53128e10i | 0.465685 | + | 0.967004i | ||||
\(546\) | −5.50780e9 | − | 1.25712e9i | −0.0619737 | − | 0.0141451i | ||||
\(547\) | 1.16737e11 | − | 5.62177e10i | 1.30395 | − | 0.627948i | 0.352515 | − | 0.935806i | \(-0.385326\pi\) |
0.951432 | + | 0.307858i | \(0.0996121\pi\) | |||||||
\(548\) | 9.62344e10 | − | 7.67443e10i | 1.06711 | − | 0.850989i | ||||
\(549\) | −5.92284e10 | + | 1.35185e10i | −0.651990 | + | 0.148812i | ||||
\(550\) | 6.62191e9 | − | 5.28080e9i | 0.0723657 | − | 0.0577097i | ||||
\(551\) | −2.04106e10 | + | 8.94245e10i | −0.221436 | + | 0.970175i | ||||
\(552\) | −2.19178e9 | −0.0236070 | ||||||||
\(553\) | − | 1.19892e11i | − | 1.28200i | ||||||
\(554\) | −2.04140e7 | + | 8.94394e7i | −0.000216715 | + | 0.000949489i | ||||
\(555\) | 9.40764e10 | + | 7.50235e10i | 0.991537 | + | 0.790724i | ||||
\(556\) | −2.30992e10 | − | 1.11240e10i | −0.241711 | − | 0.116402i | ||||
\(557\) | 5.94935e10 | − | 2.86505e10i | 0.618085 | − | 0.297654i | −0.0985178 | − | 0.995135i | \(-0.531410\pi\) |
0.716603 | + | 0.697481i | \(0.245696\pi\) | |||||||
\(558\) | − | 6.14773e7i | − | 0.000634130i | ||||||
\(559\) | 1.01446e11 | − | 1.14704e11i | 1.03893 | − | 1.17471i | ||||
\(560\) | −3.06103e11 | −3.11255 | ||||||||
\(561\) | −7.87048e9 | − | 1.63432e10i | −0.0794602 | − | 0.165001i | ||||
\(562\) | −4.31974e8 | + | 8.97004e8i | −0.00433025 | + | 0.00899185i | ||||
\(563\) | 7.22003e10 | − | 9.05363e10i | 0.718630 | − | 0.901134i | −0.279629 | − | 0.960108i | \(-0.590212\pi\) |
0.998260 | + | 0.0589742i | \(0.0187830\pi\) | |||||||
\(564\) | −3.27207e9 | − | 7.46829e8i | −0.0323375 | − | 0.00738082i | ||||
\(565\) | −1.71394e10 | −0.168190 | ||||||||
\(566\) | 9.44723e9i | 0.0920532i | ||||||||
\(567\) | 8.65128e10 | + | 1.97460e10i | 0.837044 | + | 0.191050i | ||||
\(568\) | −9.13852e9 | − | 1.14593e10i | −0.0877976 | − | 0.110095i | ||||
\(569\) | −1.88834e10 | − | 8.27336e10i | −0.180149 | − | 0.789283i | −0.981558 | − | 0.191166i | \(-0.938773\pi\) |
0.801409 | − | 0.598117i | \(-0.204084\pi\) | |||||||
\(570\) | 1.92736e9 | + | 2.41683e9i | 0.0182584 | + | 0.0228953i | ||||
\(571\) | 7.63943e10 | + | 1.58634e11i | 0.718649 | + | 1.49229i | 0.864312 | + | 0.502956i | \(0.167754\pi\) |
−0.145663 | + | 0.989334i | \(0.546532\pi\) | |||||||
\(572\) | −2.47140e10 | + | 1.08279e11i | −0.230865 | + | 1.01149i | ||||
\(573\) | −7.53515e10 | + | 3.62874e10i | −0.698994 | + | 0.336618i | ||||
\(574\) | 4.62827e9 | − | 5.80367e9i | 0.0426355 | − | 0.0534632i | ||||
\(575\) | 2.93215e10 | + | 1.28466e11i | 0.268234 | + | 1.17521i | ||||
\(576\) | −1.98192e10 | − | 8.68336e10i | −0.180051 | − | 0.788856i | ||||
\(577\) | 1.90721e10 | − | 3.96036e10i | 0.172066 | − | 0.357299i | −0.797046 | − | 0.603918i | \(-0.793605\pi\) |
0.969112 | + | 0.246619i | \(0.0793197\pi\) | |||||||
\(578\) | −2.81647e9 | − | 2.24606e9i | −0.0252344 | − | 0.0201238i | ||||
\(579\) | 6.96815e10 | − | 5.55691e10i | 0.620017 | − | 0.494447i | ||||
\(580\) | −2.83848e11 | − | 1.36694e11i | −2.50827 | − | 1.20792i | ||||
\(581\) | −5.37284e10 | + | 1.11568e11i | −0.471519 | + | 0.979120i | ||||
\(582\) | −1.12927e8 | − | 1.41606e8i | −0.000984253 | − | 0.00123421i | ||||
\(583\) | 6.92113e10 | − | 8.67882e10i | 0.599105 | − | 0.751253i | ||||
\(584\) | 4.81738e9 | + | 2.31993e9i | 0.0414152 | + | 0.0199445i | ||||
\(585\) | −2.74003e11 | + | 6.25393e10i | −2.33954 | + | 0.533986i | ||||
\(586\) | −1.05530e10 | + | 2.40864e9i | −0.0894919 | + | 0.0204260i | ||||
\(587\) | 7.29933e10 | + | 5.82102e10i | 0.614795 | + | 0.490283i | 0.880674 | − | 0.473724i | \(-0.157090\pi\) |
−0.265878 | + | 0.964007i | \(0.585662\pi\) | |||||||
\(588\) | 4.04964e10 | + | 8.40917e10i | 0.338772 | + | 0.703467i | ||||
\(589\) | −1.04112e9 | − | 2.37628e8i | −0.00865044 | − | 0.00197441i | ||||
\(590\) | 9.41228e9 | − | 4.53272e9i | 0.0776760 | − | 0.0374068i | ||||
\(591\) | −2.12568e10 | + | 1.69517e10i | −0.174240 | + | 0.138952i | ||||
\(592\) | 1.94042e11 | − | 4.42888e10i | 1.57982 | − | 0.360584i | ||||
\(593\) | −5.72965e10 | + | 4.56924e10i | −0.463350 | + | 0.369509i | −0.827162 | − | 0.561963i | \(-0.810046\pi\) |
0.363813 | + | 0.931472i | \(0.381475\pi\) | |||||||
\(594\) | 8.02461e8 | − | 3.51581e9i | 0.00644582 | − | 0.0282410i | ||||
\(595\) | −2.60072e11 | −2.07504 | ||||||||
\(596\) | 9.31157e10i | 0.737968i | ||||||||
\(597\) | 4.19666e9 | − | 1.83868e10i | 0.0330374 | − | 0.144747i | ||||
\(598\) | 4.43512e9 | + | 3.53689e9i | 0.0346817 | + | 0.0276578i | ||||
\(599\) | −1.41951e11 | − | 6.83600e10i | −1.10263 | − | 0.531000i | −0.208148 | − | 0.978097i | \(-0.566744\pi\) |
−0.894486 | + | 0.447097i | \(0.852458\pi\) | |||||||
\(600\) | −1.35892e10 | + | 6.54420e9i | −0.104855 | + | 0.0504953i | ||||
\(601\) | 1.96837e11i | 1.50872i | 0.656462 | + | 0.754359i | \(0.272052\pi\) | ||||
−0.656462 | + | 0.754359i | \(0.727948\pi\) | |||||||
\(602\) | 1.27206e10 | + | 6.48534e8i | 0.0968547 | + | 0.00493795i | ||||
\(603\) | 3.96377e10 | 0.299805 | ||||||||
\(604\) | 1.07884e11 | + | 2.24024e11i | 0.810608 | + | 1.68324i | ||||
\(605\) | 6.02954e10 | − | 1.25205e11i | 0.450052 | − | 0.934543i | ||||
\(606\) | 1.49075e9 | − | 1.86935e9i | 0.0110539 | − | 0.0138611i | ||||
\(607\) | −7.81596e9 | − | 1.78394e9i | −0.0575742 | − | 0.0131409i | 0.193637 | − | 0.981073i | \(-0.437972\pi\) |
−0.251211 | + | 0.967932i | \(0.580829\pi\) | |||||||
\(608\) | 1.54238e10 | 0.112870 | ||||||||
\(609\) | 1.46832e11i | 1.06746i | ||||||||
\(610\) | 1.16014e10 | + | 2.64795e9i | 0.0837898 | + | 0.0191245i | ||||
\(611\) | 1.08497e10 | + | 1.36051e10i | 0.0778488 | + | 0.0976193i | ||||
\(612\) | −1.69510e10 | − | 7.42674e10i | −0.120834 | − | 0.529410i | ||||
\(613\) | −5.29964e8 | − | 6.64554e8i | −0.00375322 | − | 0.00470640i | 0.779951 | − | 0.625840i | \(-0.215244\pi\) |
−0.783705 | + | 0.621134i | \(0.786672\pi\) | |||||||
\(614\) | −1.43835e9 | − | 2.98677e9i | −0.0101203 | − | 0.0210150i | ||||
\(615\) | −1.73944e10 | + | 7.62098e10i | −0.121593 | + | 0.532734i | ||||
\(616\) | −1.66740e10 | + | 8.02977e9i | −0.115802 | + | 0.0557674i | ||||
\(617\) | −4.17829e10 | + | 5.23941e10i | −0.288309 | + | 0.361528i | −0.904802 | − | 0.425832i | \(-0.859981\pi\) |
0.616493 | + | 0.787360i | \(0.288553\pi\) | |||||||
\(618\) | 6.90476e8 | + | 3.02517e9i | 0.00473363 | + | 0.0207394i | ||||
\(619\) | −3.62718e10 | − | 1.58917e11i | −0.247062 | − | 1.08245i | −0.934431 | − | 0.356143i | \(-0.884092\pi\) |
0.687369 | − | 0.726308i | \(-0.258766\pi\) | |||||||
\(620\) | 1.59145e9 | − | 3.30468e9i | 0.0107702 | − | 0.0223646i | ||||
\(621\) | 4.38643e10 | + | 3.49806e10i | 0.294947 | + | 0.235213i | ||||
\(622\) | 6.54642e9 | − | 5.22060e9i | 0.0437363 | − | 0.0348786i | ||||
\(623\) | 2.11173e11 | + | 1.01695e11i | 1.40180 | + | 0.675070i | ||||
\(624\) | 4.26956e10 | − | 8.86582e10i | 0.281608 | − | 0.584764i | ||||
\(625\) | 2.38308e11 | + | 2.98829e11i | 1.56177 | + | 1.95840i | ||||
\(626\) | −6.85849e9 | + | 8.60028e9i | −0.0446613 | + | 0.0560035i | ||||
\(627\) | −2.55184e10 | − | 1.22890e10i | −0.165114 | − | 0.0795146i | ||||
\(628\) | 1.13365e11 | − | 2.58748e10i | 0.728852 | − | 0.166356i | ||||
\(629\) | 1.64862e11 | − | 3.76287e10i | 1.05322 | − | 0.240390i | ||||
\(630\) | −1.82772e10 | − | 1.45756e10i | −0.116024 | − | 0.0925262i | ||||
\(631\) | −1.13090e11 | − | 2.34833e11i | −0.713355 | − | 1.48130i | −0.869693 | − | 0.493593i | \(-0.835683\pi\) |
0.156338 | − | 0.987704i | \(-0.450031\pi\) | |||||||
\(632\) | −1.34343e10 | − | 3.06630e9i | −0.0842070 | − | 0.0192197i | ||||
\(633\) | 5.14648e10 | − | 2.47842e10i | 0.320550 | − | 0.154369i | ||||
\(634\) | 3.22732e9 | − | 2.57370e9i | 0.0199749 | − | 0.0159295i | ||||
\(635\) | −1.90312e11 | + | 4.34375e10i | −1.17050 | + | 0.267159i | ||||
\(636\) | −7.71491e10 | + | 6.15244e10i | −0.471522 | + | 0.376027i | ||||
\(637\) | 1.07684e11 | − | 4.71794e11i | 0.654024 | − | 2.86546i | ||||
\(638\) | −9.47683e9 | −0.0571979 | ||||||||
\(639\) | 1.69639e11i | 1.01747i | ||||||||
\(640\) | −1.57092e10 | + | 6.88265e10i | −0.0936341 | + | 0.410238i | ||||
\(641\) | 9.23640e8 | + | 7.36578e8i | 0.00547105 | + | 0.00436302i | 0.626222 | − | 0.779645i | \(-0.284601\pi\) |
−0.620750 | + | 0.784008i | \(0.713172\pi\) | |||||||
\(642\) | −1.51750e9 | − | 7.30789e8i | −0.00893281 | − | 0.00430182i | ||||
\(643\) | −3.03948e11 | + | 1.46374e11i | −1.77810 | + | 0.856287i | −0.818707 | + | 0.574212i | \(0.805309\pi\) |
−0.959392 | + | 0.282075i | \(0.908977\pi\) | |||||||
\(644\) | − | 1.43725e11i | − | 0.835580i | ||||||
\(645\) | −1.23651e11 | + | 5.19674e10i | −0.714431 | + | 0.300256i | ||||
\(646\) | 4.34424e9 | 0.0249450 | ||||||||
\(647\) | −6.75299e10 | − | 1.40227e11i | −0.385371 | − | 0.800231i | −0.999935 | − | 0.0113644i | \(-0.996383\pi\) |
0.614565 | − | 0.788867i | \(-0.289332\pi\) | |||||||
\(648\) | 4.42523e9 | − | 9.18909e9i | 0.0250978 | − | 0.0521162i | ||||
\(649\) | −5.96794e10 | + | 7.48357e10i | −0.336392 | + | 0.421823i | ||||
\(650\) | 3.80584e10 | + | 8.68657e9i | 0.213205 | + | 0.0486626i | ||||
\(651\) | −1.70948e9 | −0.00951786 | ||||||||
\(652\) | 1.93010e10i | 0.106804i | ||||||||
\(653\) | −2.82161e11 | − | 6.44013e10i | −1.55183 | − | 0.354195i | −0.641184 | − | 0.767387i | \(-0.721557\pi\) |
−0.910644 | + | 0.413192i | \(0.864414\pi\) | |||||||
\(654\) | −1.57867e9 | − | 1.97959e9i | −0.00862938 | − | 0.0108209i | ||||
\(655\) | 8.71283e10 | + | 3.81734e11i | 0.473363 | + | 2.07394i | ||||
\(656\) | 8.06163e10 | + | 1.01090e11i | 0.435319 | + | 0.545872i | ||||
\(657\) | −2.68505e10 | − | 5.57557e10i | −0.144109 | − | 0.299246i | ||||
\(658\) | −3.22087e8 | + | 1.41116e9i | −0.00171818 | + | 0.00752786i | ||||
\(659\) | −8.43934e9 | + | 4.06417e9i | −0.0447473 | + | 0.0215492i | −0.456124 | − | 0.889916i | \(-0.650763\pi\) |
0.411376 | + | 0.911466i | \(0.365048\pi\) | |||||||
\(660\) | 6.06548e10 | − | 7.60587e10i | 0.319661 | − | 0.400842i | ||||
\(661\) | −1.17207e10 | − | 5.13517e10i | −0.0613970 | − | 0.268998i | 0.934907 | − | 0.354892i | \(-0.115482\pi\) |
−0.996304 | + | 0.0858943i | \(0.972625\pi\) | |||||||
\(662\) | −1.18867e9 | − | 5.20792e9i | −0.00618915 | − | 0.0271164i | ||||
\(663\) | 3.62751e10 | − | 7.53260e10i | 0.187739 | − | 0.389844i | ||||
\(664\) | 1.11275e10 | + | 8.87391e9i | 0.0572435 | + | 0.0456502i | ||||
\(665\) | −3.17484e11 | + | 2.53185e11i | −1.62344 | + | 1.29465i | ||||
\(666\) | 1.36950e10 | + | 6.59516e9i | 0.0696089 | + | 0.0335219i | ||||
\(667\) | 6.39706e10 | − | 1.32836e11i | 0.323204 | − | 0.671141i | ||||
\(668\) | −1.19350e11 | − | 1.49661e11i | −0.599402 | − | 0.751626i | ||||
\(669\) | 3.72304e10 | − | 4.66855e10i | 0.185863 | − | 0.233065i | ||||
\(670\) | −6.99517e9 | − | 3.36870e9i | −0.0347135 | − | 0.0167172i | ||||
\(671\) | −1.06297e11 | + | 2.42616e10i | −0.524362 | + | 0.119682i | ||||
\(672\) | 2.40714e10 | − | 5.49413e9i | 0.118038 | − | 0.0269415i | ||||
\(673\) | 3.12464e10 | + | 2.49182e10i | 0.152314 | + | 0.121466i | 0.696682 | − | 0.717380i | \(-0.254659\pi\) |
−0.544368 | + | 0.838847i | \(0.683230\pi\) | |||||||
\(674\) | −5.12948e9 | − | 1.06515e10i | −0.0248561 | − | 0.0516143i | ||||
\(675\) | 3.76405e11 | + | 8.59120e10i | 1.81318 | + | 0.413846i | ||||
\(676\) | −2.73669e11 | + | 1.31792e11i | −1.31050 | + | 0.631105i | ||||
\(677\) | −1.15380e11 | + | 9.20126e10i | −0.549258 | + | 0.438019i | −0.858388 | − | 0.513001i | \(-0.828534\pi\) |
0.309130 | + | 0.951020i | \(0.399962\pi\) | |||||||
\(678\) | 4.46811e8 | − | 1.01982e8i | 0.00211449 | − | 0.000482618i | ||||
\(679\) | 1.86020e10 | − | 1.48346e10i | 0.0875144 | − | 0.0697904i | ||||
\(680\) | −6.65149e9 | + | 2.91421e10i | −0.0311088 | + | 0.136297i | ||||
\(681\) | −5.74440e10 | −0.267089 | ||||||||
\(682\) | − | 1.10333e8i | − | 0.000509997i | ||||||
\(683\) | 7.24185e10 | − | 3.17286e11i | 0.332787 | − | 1.45804i | −0.480922 | − | 0.876763i | \(-0.659698\pi\) |
0.813709 | − | 0.581272i | \(-0.197445\pi\) | |||||||
\(684\) | −9.29939e10 | − | 7.41602e10i | −0.424845 | − | 0.338802i | ||||
\(685\) | 5.03649e11 | + | 2.42544e11i | 2.28752 | + | 1.10161i | ||||
\(686\) | 1.69160e10 | − | 8.14634e9i | 0.0763840 | − | 0.0367846i | ||||
\(687\) | 4.02156e10i | 0.180538i | ||||||||
\(688\) | −6.03170e10 | + | 2.13501e11i | −0.269207 | + | 0.952896i | ||||
\(689\) | 5.11628e11 | 2.27027 | ||||||||
\(690\) | −2.15591e9 | − | 4.47678e9i | −0.00951116 | − | 0.0197501i | ||||
\(691\) | 6.47778e10 | − | 1.34513e11i | 0.284128 | − | 0.589998i | −0.709241 | − | 0.704966i | \(-0.750962\pi\) |
0.993369 | + | 0.114968i | \(0.0366765\pi\) | |||||||
\(692\) | 1.27646e11 | − | 1.60063e11i | 0.556651 | − | 0.698018i | ||||
\(693\) | 2.08824e11 | + | 4.76627e10i | 0.905414 | + | 0.206655i | ||||
\(694\) | −8.23997e9 | −0.0355212 | ||||||||
\(695\) | − | 1.16436e11i | − | 0.499055i | ||||||
\(696\) | 1.64531e10 | + | 3.75532e9i | 0.0701150 | + | 0.0160033i | ||||
\(697\) | 6.84933e10 | + | 8.58879e10i | 0.290213 | + | 0.363916i | ||||
\(698\) | 2.57409e8 | + | 1.12778e9i | 0.00108443 | + | 0.00475121i | ||||
\(699\) | −1.58984e10 | − | 1.99360e10i | −0.0665954 | − | 0.0835080i | ||||
\(700\) | −4.29131e11 | − | 8.91100e11i | −1.78730 | − | 3.71137i | ||||
\(701\) | 3.62361e10 | − | 1.58761e11i | 0.150062 | − | 0.657462i | −0.842804 | − | 0.538221i | \(-0.819097\pi\) |
0.992865 | − | 0.119242i | \(-0.0380463\pi\) | |||||||
\(702\) | 1.49751e10 | − | 7.21164e9i | 0.0616626 | − | 0.0296951i | ||||
\(703\) | 1.64624e11 | − | 2.06432e11i | 0.674019 | − | 0.845193i | ||||
\(704\) | −3.55694e10 | − | 1.55840e11i | −0.144806 | − | 0.634436i | ||||
\(705\) | −3.39174e9 | − | 1.48602e10i | −0.0137298 | − | 0.0601544i | ||||
\(706\) | −9.05207e9 | + | 1.87968e10i | −0.0364358 | + | 0.0756598i | ||||
\(707\) | 2.45565e11 | + | 1.95831e11i | 0.982852 | + | 0.783798i | ||||
\(708\) | 6.65241e10 | − | 5.30512e10i | 0.264756 | − | 0.211136i | ||||
\(709\) | 2.19938e11 | + | 1.05917e11i | 0.870394 | + | 0.419159i | 0.815107 | − | 0.579311i | \(-0.196678\pi\) |
0.0552870 | + | 0.998471i | \(0.482393\pi\) | |||||||
\(710\) | 1.44171e10 | − | 2.99375e10i | 0.0567343 | − | 0.117810i | ||||
\(711\) | 9.94379e10 | + | 1.24691e11i | 0.389111 | + | 0.487930i | ||||
\(712\) | 1.67962e10 | − | 2.10618e10i | 0.0653570 | − | 0.0819551i | ||||
\(713\) | 1.54653e9 | + | 7.44772e8i | 0.00598414 | + | 0.00288181i | ||||
\(714\) | 6.77989e9 | − | 1.54747e9i | 0.0260873 | − | 0.00595426i | ||||
\(715\) | −4.91751e11 | + | 1.12239e11i | −1.88157 | + | 0.429457i | ||||
\(716\) | −7.75774e10 | − | 6.18659e10i | −0.295178 | − | 0.235396i | ||||
\(717\) | 6.45718e10 | + | 1.34085e11i | 0.244324 | + | 0.507344i | ||||
\(718\) | −1.31314e10 | − | 2.99715e9i | −0.0494097 | − | 0.0112774i | ||||
\(719\) | 1.63047e11 | − | 7.85193e10i | 0.610095 | − | 0.293806i | −0.103211 | − | 0.994660i | \(-0.532912\pi\) |
0.713305 | + | 0.700853i | \(0.247197\pi\) | |||||||
\(720\) | 3.18357e11 | − | 2.53881e11i | 1.18463 | − | 0.944714i | ||||
\(721\) | −3.97398e11 | + | 9.07036e10i | −1.47057 | + | 0.335648i | ||||
\(722\) | −6.84988e9 | + | 5.46259e9i | −0.0252077 | + | 0.0201025i | ||||
\(723\) | −1.40766e10 | + | 6.16735e10i | −0.0515162 | + | 0.225707i | ||||
\(724\) | 1.65651e10 | 0.0602892 | ||||||||
\(725\) | − | 1.01459e12i | − | 3.67232i | ||||||
\(726\) | −8.26873e8 | + | 3.62277e9i | −0.00297641 | + | 0.0130405i | ||||
\(727\) | −3.82655e11 | − | 3.05157e11i | −1.36984 | − | 1.09241i | −0.985584 | − | 0.169185i | \(-0.945886\pi\) |
−0.384256 | − | 0.923226i | \(-0.625542\pi\) | |||||||
\(728\) | −7.68505e10 | − | 3.70092e10i | −0.273603 | − | 0.131760i | ||||
\(729\) | −2.52122e10 | + | 1.21416e10i | −0.0892691 | + | 0.0429897i | ||||
\(730\) | 1.21216e10i | 0.0426843i | ||||||||
\(731\) | −5.12466e10 | + | 1.81395e11i | −0.179472 | + | 0.635266i | ||||
\(732\) | 9.69212e10 | 0.337578 | ||||||||
\(733\) | 2.36811e11 | + | 4.91744e11i | 0.820327 | + | 1.70343i | 0.703983 | + | 0.710217i | \(0.251403\pi\) |
0.116344 | + | 0.993209i | \(0.462883\pi\) | |||||||
\(734\) | −1.06308e10 | + | 2.20752e10i | −0.0366255 | + | 0.0760536i | ||||
\(735\) | −2.64286e11 | + | 3.31404e11i | −0.905575 | + | 1.13555i | ||||
\(736\) | −2.41706e10 | − | 5.51678e9i | −0.0823713 | − | 0.0188007i | ||||
\(737\) | 7.11375e10 | 0.241118 | ||||||||
\(738\) | 9.87468e9i | 0.0332887i | ||||||||
\(739\) | 2.16449e11 | + | 4.94032e10i | 0.725736 | + | 0.165644i | 0.569401 | − | 0.822060i | \(-0.307175\pi\) |
0.156335 | + | 0.987704i | \(0.450032\pi\) | |||||||
\(740\) | 5.65439e11 | + | 7.09038e11i | 1.88564 | + | 2.36452i | ||||
\(741\) | −2.90484e10 | − | 1.27269e11i | −0.0963494 | − | 0.422134i | ||||
\(742\) | 2.65338e10 | + | 3.32723e10i | 0.0875354 | + | 0.109766i | ||||
\(743\) | 1.34078e11 | + | 2.78416e11i | 0.439949 | + | 0.913563i | 0.996567 | + | 0.0827941i | \(0.0263844\pi\) |
−0.556618 | + | 0.830768i | \(0.687901\pi\) | |||||||
\(744\) | −4.37209e7 | + | 1.91554e8i | −0.000142691 | + | 0.000625171i | ||||
\(745\) | −3.81008e11 | + | 1.83484e11i | −1.23683 | + | 0.595624i | ||||
\(746\) | −5.05839e9 | + | 6.34302e9i | −0.0163327 | + | 0.0204805i | ||||
\(747\) | −3.66551e10 | − | 1.60597e11i | −0.117721 | − | 0.515767i | ||||
\(748\) | −3.04220e10 | − | 1.33287e11i | −0.0971809 | − | 0.425777i | ||||
\(749\) | 9.59993e10 | − | 1.99345e11i | 0.305029 | − | 0.633399i | ||||
\(750\) | −1.57670e10 | − | 1.25738e10i | −0.0498316 | − | 0.0397393i | ||||
\(751\) | −1.67933e11 | + | 1.33922e11i | −0.527929 | + | 0.421010i | −0.850844 | − | 0.525418i | \(-0.823909\pi\) |
0.322915 | + | 0.946428i | \(0.395337\pi\) | |||||||
\(752\) | −2.27152e10 | − | 1.09390e10i | −0.0710305 | − | 0.0342065i | ||||
\(753\) | −5.73814e9 | + | 1.19154e10i | −0.0178481 | + | 0.0370619i | ||||
\(754\) | −2.72333e10 | − | 3.41494e10i | −0.0842586 | − | 0.105657i | ||||
\(755\) | −7.04069e11 | + | 8.82875e11i | −2.16684 | + | 2.71714i | ||||
\(756\) | −3.79411e11 | − | 1.82714e11i | −1.16151 | − | 0.559353i | ||||
\(757\) | 4.30223e11 | − | 9.81956e10i | 1.31012 | − | 0.299026i | 0.490251 | − | 0.871581i | \(-0.336905\pi\) |
0.819866 | + | 0.572555i | \(0.194048\pi\) | |||||||
\(758\) | 1.79044e10 | − | 4.08656e9i | 0.0542354 | − | 0.0123789i | ||||
\(759\) | 3.55943e10 | + | 2.83855e10i | 0.107254 | + | 0.0855321i | ||||
\(760\) | 2.02506e10 | + | 4.20508e10i | 0.0606992 | + | 0.126043i | ||||
\(761\) | −3.77331e11 | − | 8.61234e10i | −1.12508 | − | 0.256793i | −0.380800 | − | 0.924658i | \(-0.624351\pi\) |
−0.744283 | + | 0.667865i | \(0.767208\pi\) | |||||||
\(762\) | 4.70284e9 | − | 2.26477e9i | 0.0139489 | − | 0.00671744i | ||||
\(763\) | 2.60046e11 | − | 2.07380e11i | 0.767277 | − | 0.611883i | ||||
\(764\) | −6.14531e11 | + | 1.40263e11i | −1.80372 | + | 0.411688i | ||||
\(765\) | 2.70483e11 | − | 2.15703e11i | 0.789758 | − | 0.629811i | ||||
\(766\) | −4.65080e9 | + | 2.03765e10i | −0.0135087 | + | 0.0591854i | ||||
\(767\) | −4.41167e11 | −1.27474 | ||||||||
\(768\) | 1.40673e11i | 0.404358i | ||||||||
\(769\) | 6.09786e10 | − | 2.67165e11i | 0.174370 | − | 0.763966i | −0.809795 | − | 0.586713i | \(-0.800422\pi\) |
0.984165 | − | 0.177253i | \(-0.0567211\pi\) | |||||||
\(770\) | −3.28021e10 | − | 2.61588e10i | −0.0933122 | − | 0.0744140i | ||||
\(771\) | −1.16444e11 | − | 5.60764e10i | −0.329533 | − | 0.158695i | ||||
\(772\) | 6.05205e11 | − | 2.91452e11i | 1.70386 | − | 0.820535i | ||||
\(773\) | 4.81042e11i | 1.34730i | 0.739049 | + | 0.673651i | \(0.235275\pi\) | ||||
−0.739049 | + | 0.673651i | \(0.764725\pi\) | |||||||
\(774\) | −1.37677e10 | + | 9.87591e9i | −0.0383616 | + | 0.0275178i | ||||
\(775\) | 1.18123e10 | 0.0327437 | ||||||||
\(776\) | −1.18652e9 | − | 2.46383e9i | −0.00327210 | − | 0.00679459i | ||||
\(777\) | 1.83389e11 | − | 3.80812e11i | 0.503141 | − | 1.04478i | ||||
\(778\) | 2.33524e9 | − | 2.92829e9i | 0.00637401 | − | 0.00799275i | ||||
\(779\) | 1.67227e11 | + | 3.81685e10i | 0.454106 | + | 0.103647i | ||||
\(780\) | 4.48377e11 | 1.21134 | ||||||||
\(781\) | 3.04450e11i | 0.818298i | ||||||||
\(782\) | −6.80784e9 | − | 1.55384e9i | −0.0182046 | − | 0.00415509i | ||||
\(783\) | −2.69342e11 | − | 3.37745e11i | −0.716568 | − | 0.898548i | ||||
\(784\) | 1.56016e11 | + | 6.83552e11i | 0.412958 | + | 1.80929i | ||||
\(785\) | 3.29258e11 | + | 4.12876e11i | 0.867076 | + | 1.08728i | ||||
\(786\) | −4.54275e9 | − | 9.43311e9i | −0.0119022 | − | 0.0247152i | ||||
\(787\) | 5.78152e9 | − | 2.53305e10i | 0.0150710 | − | 0.0660305i | −0.966833 | − | 0.255409i | \(-0.917790\pi\) |
0.981904 | + | 0.189378i | \(0.0606472\pi\) | |||||||
\(788\) | −1.84622e11 | + | 8.89091e10i | −0.478826 | + | 0.230591i | ||||
\(789\) | 2.52186e10 | − | 3.16232e10i | 0.0650749 | − | 0.0816013i | ||||
\(790\) | −6.95142e9 | − | 3.04562e10i | −0.0178470 | − | 0.0781928i | ||||
\(791\) | 1.33967e10 | + | 5.86949e10i | 0.0342210 | + | 0.149932i | ||||
\(792\) | 1.06816e10 | − | 2.21806e10i | 0.0271478 | − | 0.0563731i | ||||
\(793\) | −3.92888e11 | − | 3.13318e11i | −0.993519 | − | 0.792305i | ||||
\(794\) | 1.00874e10 | − | 8.04440e9i | 0.0253802 | − | 0.0202400i | ||||
\(795\) | −4.03765e11 | − | 1.94443e11i | −1.01079 | − | 0.486770i | ||||
\(796\) | 6.16730e10 | − | 1.28065e11i | 0.153618 | − | 0.318991i | ||||
\(797\) | −6.14951e10 | − | 7.71124e10i | −0.152408 | − | 0.191113i | 0.699766 | − | 0.714372i | \(-0.253288\pi\) |
−0.852174 | + | 0.523259i | \(0.824716\pi\) | |||||||
\(798\) | 6.77010e9 | − | 8.48944e9i | 0.0166949 | − | 0.0209347i | ||||
\(799\) | −1.92993e10 | − | 9.29405e9i | −0.0473537 | − | 0.0228044i | ||||
\(800\) | −1.66331e11 | + | 3.79639e10i | −0.406081 | + | 0.0926853i | ||||
\(801\) | −3.03972e11 | + | 6.93796e10i | −0.738420 | + | 0.168539i | ||||
\(802\) | 3.14275e10 | + | 2.50626e10i | 0.0759649 | + | 0.0605799i | ||||
\(803\) | −4.81885e10 | − | 1.00065e11i | −0.115899 | − | 0.240668i | ||||
\(804\) | −6.16512e10 | − | 1.40715e10i | −0.147543 | − | 0.0336756i | ||||
\(805\) | 5.88088e11 | − | 2.83208e11i | 1.40042 | − | 0.674407i | ||||
\(806\) | 3.97581e8 | − | 3.17060e8i | 0.000942075 | − | 0.000751280i | ||||
\(807\) | −9.74827e10 | + | 2.22498e10i | −0.229844 | + | 0.0524604i | ||||
\(808\) | 2.82241e10 | − | 2.25080e10i | 0.0662179 | − | 0.0528070i | ||||
\(809\) | 1.16328e11 | − | 5.09667e11i | 0.271576 | − | 1.18985i | −0.636578 | − | 0.771213i | \(-0.719650\pi\) |
0.908153 | − | 0.418638i | \(-0.137492\pi\) | |||||||
\(810\) | 2.31218e10 | 0.0537132 | ||||||||
\(811\) | − | 3.05335e11i | − | 0.705819i | −0.935657 | − | 0.352910i | \(-0.885192\pi\) | ||
0.935657 | − | 0.352910i | \(-0.114808\pi\) | |||||||
\(812\) | −2.46252e11 | + | 1.07890e12i | −0.566443 | + | 2.48175i | ||||
\(813\) | −2.28347e11 | − | 1.82101e11i | −0.522677 | − | 0.416821i | ||||
\(814\) | 2.45783e10 | + | 1.18363e10i | 0.0559829 | + | 0.0269599i | ||||
\(815\) | −7.89750e10 | + | 3.80323e10i | −0.179002 | + | 0.0862031i | ||||
\(816\) | 1.21131e11i | 0.273208i | ||||||||
\(817\) | 1.14032e11 | + | 2.71329e11i | 0.255940 | + | 0.608986i | ||||
\(818\) | 1.32823e9 | 0.00296661 | ||||||||
\(819\) | 4.28340e11 | + | 8.89457e11i | 0.952035 | + | 1.97692i | ||||
\(820\) | −2.55623e11 | + | 5.30807e11i | −0.565386 | + | 1.17404i | ||||
\(821\) | −5.53372e10 | + | 6.93907e10i | −0.121799 | + | 0.152732i | −0.838993 | − | 0.544143i | \(-0.816855\pi\) |
0.717193 | + | 0.696874i | \(0.245426\pi\) | |||||||
\(822\) | −1.45729e10 | − | 3.32618e9i | −0.0319198 | − | 0.00728548i | ||||
\(823\) | −2.49932e11 | −0.544783 | −0.272391 | − | 0.962187i | \(-0.587815\pi\) | ||||
−0.272391 | + | 0.962187i | \(0.587815\pi\) | |||||||
\(824\) | 4.68499e10i | 0.101625i | ||||||||
\(825\) | 3.05439e11 | + | 6.97145e10i | 0.659339 | + | 0.150490i | ||||
\(826\) | −2.28795e10 | − | 2.86900e10i | −0.0491504 | − | 0.0616326i | ||||
\(827\) | 7.62217e10 | + | 3.33949e11i | 0.162951 | + | 0.713934i | 0.988701 | + | 0.149899i | \(0.0478947\pi\) |
−0.825751 | + | 0.564035i | \(0.809248\pi\) | |||||||
\(828\) | 1.19205e11 | + | 1.49478e11i | 0.253614 | + | 0.318022i | ||||
\(829\) | 1.77726e11 | + | 3.69051e11i | 0.376298 | + | 0.781392i | 1.00000 | 0.000270845i | \(-8.62127e-5\pi\) | |
−0.623702 | + | 0.781663i | \(0.714372\pi\) | |||||||
\(830\) | −7.17984e9 | + | 3.14570e10i | −0.0151287 | + | 0.0662833i | ||||
\(831\) | −3.05737e9 | + | 1.47235e9i | −0.00641126 | + | 0.00308750i | ||||
\(832\) | 4.59349e11 | − | 5.76005e11i | 0.958626 | − | 1.20208i | ||||
\(833\) | 1.32555e11 | + | 5.80761e11i | 0.275306 | + | 1.20619i | ||||
\(834\) | 6.92811e8 | + | 3.03540e9i | 0.00143203 | + | 0.00627411i | ||||
\(835\) | 3.77198e11 | − | 7.83259e11i | 0.775931 | − | 1.61124i | ||||
\(836\) | −1.66896e11 | − | 1.33095e11i | −0.341681 | − | 0.272481i | ||||
\(837\) | 3.93216e9 | − | 3.13579e9i | 0.00801178 | − | 0.00638918i | ||||
\(838\) | −1.47447e10 | − | 7.10067e9i | −0.0298992 | − | 0.0143987i | ||||
\(839\) | 1.07464e11 | − | 2.23152e11i | 0.216878 | − | 0.450353i | −0.763937 | − | 0.645291i | \(-0.776736\pi\) |
0.980816 | + | 0.194938i | \(0.0624506\pi\) | |||||||
\(840\) | 4.65833e10 | + | 5.84136e10i | 0.0935649 | + | 0.117327i | ||||
\(841\) | −3.95908e11 | + | 4.96453e11i | −0.791425 | + | 0.992416i | ||||
\(842\) | −9.27911e9 | − | 4.46859e9i | −0.0184611 | − | 0.00889041i | ||||
\(843\) | −3.59037e10 | + | 8.19477e9i | −0.0710932 | + | 0.0162266i | ||||
\(844\) | 4.19722e11 | − | 9.57988e10i | 0.827165 | − | 0.188795i | ||||
\(845\) | −1.07852e12 | − | 8.60093e11i | −2.11545 | − | 1.68701i | ||||
\(846\) | −8.35428e8 | − | 1.73478e9i | −0.00163090 | − | 0.00338660i | ||||
\(847\) | −4.75901e11 | − | 1.08621e11i | −0.924661 | − | 0.211048i | ||||
\(848\) | −6.67857e11 | + | 3.21623e11i | −1.29152 | + | 0.621961i | ||||
\(849\) | −2.73212e11 | + | 2.17879e11i | −0.525858 | + | 0.419358i | ||||
\(850\) | −4.68484e10 | + | 1.06928e10i | −0.0897468 | + | 0.0204841i | ||||
\(851\) | −3.31818e11 | + | 2.64616e11i | −0.632677 | + | 0.504543i | ||||
\(852\) | 6.02222e10 | − | 2.63851e11i | 0.114287 | − | 0.500726i | ||||
\(853\) | 6.22338e11 | 1.17552 | 0.587760 | − | 0.809035i | \(-0.300010\pi\) | ||||
0.587760 | + | 0.809035i | \(0.300010\pi\) | |||||||
\(854\) | − | 4.17995e10i | − | 0.0785850i | ||||||
\(855\) | 1.20202e11 | − | 5.26641e11i | 0.224931 | − | 0.985486i | ||||
\(856\) | −1.98821e10 | − | 1.58555e10i | −0.0370312 | − | 0.0295314i | ||||
\(857\) | −4.09528e11 | − | 1.97218e11i | −0.759207 | − | 0.365615i | 0.0138891 | − | 0.999904i | \(-0.495579\pi\) |
−0.773096 | + | 0.634289i | \(0.781293\pi\) | |||||||
\(858\) | 1.21518e10 | − | 5.85198e9i | 0.0224228 | − | 0.0107983i | ||||
\(859\) | 1.53330e11i | 0.281614i | 0.990037 | + | 0.140807i | \(0.0449697\pi\) | ||||
−0.990037 | + | 0.140807i | \(0.955030\pi\) | |||||||
\(860\) | −9.95729e11 | + | 1.74473e11i | −1.82032 | + | 0.318959i | ||||
\(861\) | 2.74582e11 | 0.499642 | ||||||||
\(862\) | 8.99817e9 | + | 1.86849e10i | 0.0162977 | + | 0.0338424i | ||||
\(863\) | 4.22998e11 | − | 8.78364e11i | 0.762597 | − | 1.58355i | −0.0486302 | − | 0.998817i | \(-0.515486\pi\) |
0.811227 | − | 0.584731i | \(-0.198800\pi\) | |||||||
\(864\) | −4.52910e10 | + | 5.67932e10i | −0.0812751 | + | 0.101916i | ||||
\(865\) | 9.06466e11 | + | 2.06895e11i | 1.61915 | + | 0.369560i | ||||
\(866\) | 3.98619e10 | 0.0708739 | ||||||||
\(867\) | − | 1.33252e11i | − | 0.235829i | ||||||
\(868\) | −1.25610e10 | − | 2.86697e9i | −0.0221282 | − | 0.00505061i | ||||
\(869\) | 1.78461e11 | + | 2.23783e11i | 0.312942 | + | 0.392416i | ||||
\(870\) | 8.51344e9 | + | 3.72998e10i | 0.0148603 | + | 0.0651073i | ||||
\(871\) | 2.04426e11 | + | 2.56342e11i | 0.355192 | + | 0.445396i | ||||
\(872\) | −1.65869e10 | − | 3.44431e10i | −0.0286880 | − | 0.0595712i | ||||
\(873\) | −7.04287e9 | + | 3.08568e10i | −0.0121253 | + | 0.0531244i | ||||
\(874\) | −9.82342e9 | + | 4.73071e9i | −0.0168351 | + | 0.00810738i | ||||
\(875\) | 1.65174e12 | − | 2.07122e12i | 2.81780 | − | 3.53340i | ||||
\(876\) | 2.19691e10 | + | 9.62527e10i | 0.0373074 | + | 0.163454i | ||||
\(877\) | −1.75558e11 | − | 7.69168e11i | −0.296771 | − | 1.30024i | −0.874904 | − | 0.484296i | \(-0.839076\pi\) |
0.578133 | − | 0.815942i | \(-0.303781\pi\) | |||||||
\(878\) | −1.18382e9 | + | 2.45822e9i | −0.00199208 | + | 0.00413659i | ||||
\(879\) | −3.13038e11 | − | 2.49639e11i | −0.524374 | − | 0.418174i | ||||
\(880\) | 5.71353e11 | − | 4.55639e11i | 0.952739 | − | 0.759784i | ||||
\(881\) | −8.53993e11 | − | 4.11261e11i | −1.41759 | − | 0.682675i | −0.440945 | − | 0.897534i | \(-0.645357\pi\) |
−0.976645 | + | 0.214859i | \(0.931071\pi\) | |||||||
\(882\) | −2.32328e10 | + | 4.82435e10i | −0.0383909 | + | 0.0797194i | ||||
\(883\) | 3.13899e11 | + | 3.93617e11i | 0.516353 | + | 0.647486i | 0.969830 | − | 0.243782i | \(-0.0783880\pi\) |
−0.453477 | + | 0.891268i | \(0.649817\pi\) | |||||||
\(884\) | 3.92874e11 | − | 4.92648e11i | 0.643345 | − | 0.806729i | ||||
\(885\) | 3.48158e11 | + | 1.67664e11i | 0.567549 | + | 0.273317i | ||||
\(886\) | −1.21123e10 | + | 2.76455e9i | −0.0196558 | + | 0.00448631i | ||||
\(887\) | −3.64786e11 | + | 8.32600e10i | −0.589310 | + | 0.134506i | −0.506769 | − | 0.862082i | \(-0.669160\pi\) |
−0.0825403 | + | 0.996588i | \(0.526303\pi\) | |||||||
\(888\) | −3.79812e10 | − | 3.02890e10i | −0.0610825 | − | 0.0487117i | ||||
\(889\) | 2.97509e11 | + | 6.17784e11i | 0.476314 | + | 0.989075i | ||||
\(890\) | 5.95407e10 | + | 1.35898e10i | 0.0948973 | + | 0.0216597i | ||||
\(891\) | −1.90872e11 | + | 9.19190e10i | −0.302852 | + | 0.145846i | ||||
\(892\) | 3.51861e11 | − | 2.80599e11i | 0.555791 | − | 0.443228i | ||||
\(893\) | −3.26077e10 | + | 7.44249e9i | −0.0512760 | + | 0.0117034i | ||||
\(894\) | 8.84084e9 | − | 7.05034e9i | 0.0138402 | − | 0.0110372i | ||||
\(895\) | 1.00275e11 | − | 4.39335e11i | 0.156279 | − | 0.684705i | ||||
\(896\) | 2.47980e11 | 0.384755 | ||||||||
\(897\) | 2.09833e11i | 0.324119i | ||||||||
\(898\) | 7.43625e9 | − | 3.25803e10i | 0.0114353 | − | 0.0501014i | ||||
\(899\) | −1.03333e10 | − | 8.24056e9i | −0.0158198 | − | 0.0126159i | ||||
\(900\) | 1.18539e12 | + | 5.70852e11i | 1.80671 | + | 0.870068i | ||||
\(901\) | −5.67425e11 | + | 2.73258e11i | −0.861013 | + | 0.414642i | ||||
\(902\) | 1.77220e10i | 0.0267724i | ||||||||
\(903\) | 2.74616e11 | + | 3.82833e11i | 0.413023 | + | 0.575782i | ||||
\(904\) | 6.91963e9 | 0.0103612 | ||||||||
\(905\) | 3.26413e10 | + | 6.77804e10i | 0.0486602 | + | 0.101044i | ||||
\(906\) | 1.31014e10 | − | 2.72052e10i | 0.0194448 | − | 0.0403775i | ||||
\(907\) | −1.79590e11 | + | 2.25198e11i | −0.265370 | + | 0.332764i | −0.896608 | − | 0.442826i | \(-0.853976\pi\) |
0.631237 | + | 0.775590i | \(0.282547\pi\) | |||||||
\(908\) | −4.22091e11 | − | 9.63394e10i | −0.620958 | − | 0.141730i | ||||
\(909\) | −4.17817e11 | −0.611970 | ||||||||
\(910\) | − | 1.93373e11i | − | 0.281987i | ||||||
\(911\) | −6.93302e11 | − | 1.58242e11i | −1.00658 | − | 0.229746i | −0.312714 | − | 0.949847i | \(-0.601238\pi\) |
−0.693869 | + | 0.720102i | \(0.744095\pi\) | |||||||
\(912\) | 1.17923e11 | + | 1.47871e11i | 0.170459 | + | 0.213749i | ||||
\(913\) | −6.57848e10 | − | 2.88222e11i | −0.0946765 | − | 0.414805i | ||||
\(914\) | 3.04876e10 | + | 3.82303e10i | 0.0436856 | + | 0.0547801i | ||||
\(915\) | 1.90982e11 | + | 3.96579e11i | 0.272464 | + | 0.565777i | ||||
\(916\) | −6.74458e10 | + | 2.95499e11i | −0.0958016 | + | 0.419734i | ||||
\(917\) | 1.23917e12 | − | 5.96753e11i | 1.75248 | − | 0.843951i | ||||
\(918\) | −1.27566e10 | + | 1.59962e10i | −0.0179624 | + | 0.0225241i | ||||
\(919\) | −2.80496e11 | − | 1.22893e12i | −0.393246 | − | 1.72292i | −0.653096 | − | 0.757275i | \(-0.726530\pi\) |
0.259850 | − | 0.965649i | \(-0.416327\pi\) | |||||||
\(920\) | −1.66939e10 | − | 7.31408e10i | −0.0233027 | − | 0.102096i | ||||
\(921\) | 5.32044e10 | − | 1.10480e11i | 0.0739450 | − | 0.153548i | ||||
\(922\) | 3.88419e10 | + | 3.09754e10i | 0.0537498 | + | 0.0428641i | ||||
\(923\) | −1.09707e12 | + | 8.74888e11i | −1.51157 | + | 1.20544i | ||||
\(924\) | −3.07878e11 | − | 1.48266e11i | −0.422368 | − | 0.203402i | ||||
\(925\) | −1.26720e12 | + | 2.63137e12i | −1.73093 | + | 3.59431i | ||||
\(926\) | −1.74907e10 | − | 2.19326e10i | −0.0237883 | − | 0.0298295i | ||||
\(927\) | 3.38077e11 | − | 4.23936e11i | 0.457823 | − | 0.574091i | ||||
\(928\) | 1.71990e11 | + | 8.28259e10i | 0.231905 | + | 0.111680i | ||||
\(929\) | 4.40113e11 | − | 1.00453e11i | 0.590883 | − | 0.134865i | 0.0833841 | − | 0.996517i | \(-0.473427\pi\) |
0.507499 | + | 0.861652i | \(0.330570\pi\) | |||||||
\(930\) | −4.34259e8 | + | 9.91169e7i | −0.000580520 | + | 0.000132500i | ||||
\(931\) | 7.27200e11 | + | 5.79922e11i | 0.967955 | + | 0.771918i | ||||
\(932\) | −8.33846e10 | − | 1.73150e11i | −0.110515 | − | 0.229487i | ||||
\(933\) | 3.01957e11 | + | 6.89197e10i | 0.398491 | + | 0.0909529i | ||||
\(934\) | 3.89862e10 | − | 1.87748e10i | 0.0512299 | − | 0.0246710i | ||||
\(935\) | 4.85434e11 | − | 3.87121e11i | 0.635161 | − | 0.506524i | ||||
\(936\) | 1.10622e11 | − | 2.52488e10i | 0.144125 | − | 0.0328956i | ||||
\(937\) | −6.10664e11 | + | 4.86988e11i | −0.792216 | + | 0.631772i | −0.933654 | − | 0.358176i | \(-0.883399\pi\) |
0.141438 | + | 0.989947i | \(0.454827\pi\) | |||||||
\(938\) | −6.06865e9 | + | 2.65885e10i | −0.00783936 | + | 0.0343465i | ||||
\(939\) | −4.06894e11 | −0.523382 | ||||||||
\(940\) | − | 1.14879e11i | − | 0.147139i | ||||||
\(941\) | −1.95841e11 | + | 8.58035e11i | −0.249773 | + | 1.09433i | 0.682020 | + | 0.731334i | \(0.261102\pi\) |
−0.931792 | + | 0.362992i | \(0.881755\pi\) | |||||||
\(942\) | −1.10402e10 | − | 8.80426e9i | −0.0140208 | − | 0.0111812i | ||||
\(943\) | −2.48409e11 | − | 1.19628e11i | −0.314138 | − | 0.151281i | ||||
\(944\) | 5.75879e11 | − | 2.77329e11i | 0.725176 | − | 0.349226i | ||||
\(945\) | − | 1.91250e12i | − | 2.39813i | ||||||
\(946\) | −2.47088e10 | + | 1.77243e10i | −0.0308523 | + | 0.0221311i | ||||
\(947\) | −1.15188e12 | −1.43221 | −0.716105 | − | 0.697992i | \(-0.754077\pi\) | ||||
−0.716105 | + | 0.697992i | \(0.754077\pi\) | |||||||
\(948\) | −1.10397e11 | − | 2.29241e11i | −0.136686 | − | 0.283831i | ||||
\(949\) | 2.22101e11 | − | 4.61198e11i | 0.273833 | − | 0.568620i | ||||
\(950\) | −4.67808e10 | + | 5.86612e10i | −0.0574345 | + | 0.0720206i | ||||
\(951\) | 1.48862e11 | + | 3.39767e10i | 0.181996 | + | 0.0415393i | ||||
\(952\) | 1.04998e11 | 0.127830 | ||||||||
\(953\) | − | 7.09769e11i | − | 0.860489i | −0.902712 | − | 0.430245i | \(-0.858427\pi\) | ||
0.902712 | − | 0.430245i | \(-0.141573\pi\) | |||||||
\(954\) | −5.51919e10 | − | 1.25972e10i | −0.0666319 | − | 0.0152083i | ||||
\(955\) | −1.78485e12 | − | 2.23813e12i | −2.14579 | − | 2.69074i | ||||
\(956\) | 2.49591e11 | + | 1.09353e12i | 0.298812 | + | 1.30918i | ||||
\(957\) | −2.18562e11 | − | 2.74068e11i | −0.260571 | − | 0.326746i | ||||
\(958\) | 2.56052e10 | + | 5.31697e10i | 0.0303994 | + | 0.0631251i | ||||
\(959\) | 4.36940e11 | − | 1.91436e12i | 0.516591 | − | 2.26333i | ||||
\(960\) | −5.81416e11 | + | 2.79995e11i | −0.684545 | + | 0.329660i | ||||
\(961\) | −5.31673e11 | + | 6.66697e11i | −0.623377 | + | 0.781690i | ||||
\(962\) | 2.79783e10 | + | 1.22581e11i | 0.0326679 | + | 0.143127i | ||||
\(963\) | 6.54936e10 | + | 2.86946e11i | 0.0761542 | + | 0.333653i | ||||
\(964\) | −2.06866e11 | + | 4.29561e11i | −0.239541 | + | 0.497412i | ||||
\(965\) | 2.38510e12 | + | 1.90206e12i | 2.75041 | + | 2.19338i | ||||
\(966\) | −1.36459e10 | + | 1.08822e10i | −0.0156709 | + | 0.0124971i | ||||
\(967\) | 1.22026e12 | + | 5.87644e11i | 1.39555 | + | 0.672061i | 0.972253 | − | 0.233931i | \(-0.0751589\pi\) |
0.423296 | + | 0.905992i | \(0.360873\pi\) | |||||||
\(968\) | −2.43429e10 | + | 5.05485e10i | −0.0277249 | + | 0.0575714i | ||||
\(969\) | 1.00190e11 | + | 1.25634e11i | 0.113640 | + | 0.142499i | ||||
\(970\) | 3.86535e9 | − | 4.84699e9i | 0.00436618 | − | 0.00547501i | ||||
\(971\) | −1.33094e11 | − | 6.40946e10i | −0.149720 | − | 0.0721015i | 0.357523 | − | 0.933904i | \(-0.383621\pi\) |
−0.507244 | + | 0.861803i | \(0.669336\pi\) | |||||||
\(972\) | 8.45348e11 | − | 1.92945e11i | 0.947044 | − | 0.216157i | ||||
\(973\) | −3.98743e11 | + | 9.10104e10i | −0.444878 | + | 0.101541i | ||||
\(974\) | −5.27665e10 | − | 4.20799e10i | −0.0586304 | − | 0.0467562i | ||||
\(975\) | 6.26517e11 | + | 1.30098e12i | 0.693289 | + | 1.43963i | ||||
\(976\) | 7.09818e11 | + | 1.62011e11i | 0.782254 | + | 0.178544i | ||||
\(977\) | 9.83524e11 | − | 4.73640e11i | 1.07946 | − | 0.519840i | 0.192316 | − | 0.981333i | \(-0.438400\pi\) |
0.887144 | + | 0.461493i | \(0.152686\pi\) | |||||||
\(978\) | 1.83252e9 | − | 1.46139e9i | 0.00200306 | − | 0.00159739i | ||||
\(979\) | −5.45537e11 | + | 1.24515e11i | −0.593873 | + | 0.135548i | ||||
\(980\) | −2.49773e12 | + | 1.99188e12i | −2.70796 | + | 2.15952i | ||||
\(981\) | −9.84558e10 | + | 4.31363e11i | −0.106308 | + | 0.465765i | ||||
\(982\) | −4.74991e10 | −0.0510787 | ||||||||
\(983\) | 4.42404e11i | 0.473810i | 0.971533 | + | 0.236905i | \(0.0761331\pi\) | ||||
−0.971533 | + | 0.236905i | \(0.923867\pi\) | |||||||
\(984\) | 7.02259e9 | − | 3.07680e10i | 0.00749060 | − | 0.0328185i | ||||
\(985\) | −7.27591e11 | − | 5.80234e11i | −0.772934 | − | 0.616394i | ||||
\(986\) | 4.84422e10 | + | 2.33286e10i | 0.0512527 | + | 0.0246820i | ||||
\(987\) | −4.82385e10 | + | 2.32304e10i | −0.0508306 | + | 0.0244787i | ||||
\(988\) | − | 9.83874e11i | − | 1.03255i | ||||||
\(989\) | −8.16505e10 | − | 4.65985e11i | −0.0853442 | − | 0.487065i | ||||
\(990\) | 5.58112e10 | 0.0581006 | ||||||||
\(991\) | 3.65957e10 | + | 7.59917e10i | 0.0379433 | + | 0.0787901i | 0.919079 | − | 0.394074i | \(-0.128935\pi\) |
−0.881136 | + | 0.472864i | \(0.843220\pi\) | |||||||
\(992\) | −9.64292e8 | + | 2.00237e9i | −0.000995776 | + | 0.00206775i | ||||
\(993\) | 1.23198e11 | − | 1.54485e11i | 0.126709 | − | 0.158888i | ||||
\(994\) | −1.13792e11 | − | 2.59722e10i | −0.116564 | − | 0.0266050i | ||||
\(995\) | 6.45539e11 | 0.658613 | ||||||||
\(996\) | 2.62800e11i | 0.267047i | ||||||||
\(997\) | 8.03785e10 | + | 1.83459e10i | 0.0813503 | + | 0.0185677i | 0.263002 | − | 0.964795i | \(-0.415287\pi\) |
−0.181652 | + | 0.983363i | \(0.558144\pi\) | |||||||
\(998\) | 3.57224e10 | + | 4.47945e10i | 0.0360096 | + | 0.0451547i | ||||
\(999\) | 2.76711e11 | + | 1.21235e12i | 0.277820 | + | 1.21721i |
(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 | 43.9.f.a.2.15 | ✓ | 174 | |
43.22 | odd | 14 | inner | 43.9.f.a.22.15 | yes | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.f.a.2.15 | ✓ | 174 | 1.1 | even | 1 | trivial | |
43.9.f.a.22.15 | yes | 174 | 43.22 | odd | 14 | inner |