Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(6,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.6");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 6.5 | ||
Character | \(\chi\) | \(=\) | 43.6 |
Dual form | 43.10.c.a.36.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −36.2109 | −1.60031 | −0.800155 | − | 0.599793i | \(-0.795250\pi\) | ||||
−0.800155 | + | 0.599793i | \(0.795250\pi\) | |||||||
\(3\) | −128.726 | + | 222.960i | −0.917530 | + | 1.58921i | −0.114377 | + | 0.993437i | \(0.536487\pi\) |
−0.803154 | + | 0.595772i | \(0.796846\pi\) | |||||||
\(4\) | 799.229 | 1.56099 | ||||||||
\(5\) | −873.768 | + | 1513.41i | −0.625217 | + | 1.08291i | 0.363281 | + | 0.931679i | \(0.381656\pi\) |
−0.988499 | + | 0.151229i | \(0.951677\pi\) | |||||||
\(6\) | 4661.28 | − | 8073.58i | 1.46833 | − | 2.54323i | ||||
\(7\) | 4633.70 | + | 8025.80i | 0.729435 | + | 1.26342i | 0.957122 | + | 0.289684i | \(0.0935501\pi\) |
−0.227688 | + | 0.973734i | \(0.573117\pi\) | |||||||
\(8\) | −10400.8 | −0.897765 | ||||||||
\(9\) | −23299.2 | − | 40355.5i | −1.18372 | − | 2.05027i | ||||
\(10\) | 31639.9 | − | 54801.9i | 1.00054 | − | 1.73299i | ||||
\(11\) | −55519.6 | −1.14335 | −0.571675 | − | 0.820480i | \(-0.693706\pi\) | ||||
−0.571675 | + | 0.820480i | \(0.693706\pi\) | |||||||
\(12\) | −102882. | + | 178196.i | −1.43226 | + | 2.48075i | ||||
\(13\) | 31455.5 | + | 54482.6i | 0.305458 | + | 0.529070i | 0.977363 | − | 0.211568i | \(-0.0678569\pi\) |
−0.671905 | + | 0.740638i | \(0.734524\pi\) | |||||||
\(14\) | −167790. | − | 290621.i | −1.16732 | − | 2.02186i | ||||
\(15\) | −224953. | − | 389630.i | −1.14731 | − | 1.98720i | ||||
\(16\) | −32582.1 | −0.124291 | ||||||||
\(17\) | −153689. | − | 266198.i | −0.446297 | − | 0.773008i | 0.551845 | − | 0.833947i | \(-0.313924\pi\) |
−0.998142 | + | 0.0609383i | \(0.980591\pi\) | |||||||
\(18\) | 843686. | + | 1.46131e6i | 1.89433 | + | 3.28107i | ||||
\(19\) | −249236. | + | 431690.i | −0.438753 | + | 0.759943i | −0.997594 | − | 0.0693325i | \(-0.977913\pi\) |
0.558840 | + | 0.829275i | \(0.311246\pi\) | |||||||
\(20\) | −698341. | + | 1.20956e6i | −0.975961 | + | 1.69041i | ||||
\(21\) | −2.38591e6 | −2.67711 | ||||||||
\(22\) | 2.01042e6 | 1.82972 | ||||||||
\(23\) | 1.06817e6 | − | 1.85012e6i | 0.795910 | − | 1.37856i | −0.126349 | − | 0.991986i | \(-0.540326\pi\) |
0.922260 | − | 0.386571i | \(-0.126341\pi\) | |||||||
\(24\) | 1.33886e6 | − | 2.31897e6i | 0.823727 | − | 1.42674i | ||||
\(25\) | −550378. | − | 953282.i | −0.281793 | − | 0.488080i | ||||
\(26\) | −1.13903e6 | − | 1.97286e6i | −0.488828 | − | 0.846676i | ||||
\(27\) | 6.92944e6 | 2.50935 | ||||||||
\(28\) | 3.70339e6 | + | 6.41445e6i | 1.13864 | + | 1.97219i | ||||
\(29\) | −1.61967e6 | − | 2.80536e6i | −0.425242 | − | 0.736542i | 0.571201 | − | 0.820811i | \(-0.306478\pi\) |
−0.996443 | + | 0.0842690i | \(0.973145\pi\) | |||||||
\(30\) | 8.14576e6 | + | 1.41089e7i | 1.83606 | + | 3.18014i | ||||
\(31\) | 2.50413e6 | − | 4.33729e6i | 0.487001 | − | 0.843511i | −0.512887 | − | 0.858456i | \(-0.671424\pi\) |
0.999888 | + | 0.0149453i | \(0.00475741\pi\) | |||||||
\(32\) | 6.50505e6 | 1.09667 | ||||||||
\(33\) | 7.14682e6 | − | 1.23786e7i | 1.04906 | − | 1.81702i | ||||
\(34\) | 5.56523e6 | + | 9.63926e6i | 0.714213 | + | 1.23705i | ||||
\(35\) | −1.61951e7 | −1.82422 | ||||||||
\(36\) | −1.86214e7 | − | 3.22533e7i | −1.84779 | − | 3.20046i | ||||
\(37\) | −7.98811e6 | + | 1.38358e7i | −0.700707 | + | 1.21366i | 0.267512 | + | 0.963554i | \(0.413798\pi\) |
−0.968219 | + | 0.250105i | \(0.919535\pi\) | |||||||
\(38\) | 9.02507e6 | − | 1.56319e7i | 0.702141 | − | 1.21614i | ||||
\(39\) | −1.61966e7 | −1.12107 | ||||||||
\(40\) | 9.08791e6 | − | 1.57407e7i | 0.561298 | − | 0.972198i | ||||
\(41\) | 1.96510e7 | 1.08607 | 0.543035 | − | 0.839710i | \(-0.317275\pi\) | ||||
0.543035 | + | 0.839710i | \(0.317275\pi\) | |||||||
\(42\) | 8.63959e7 | 4.28421 | ||||||||
\(43\) | −1.78335e7 | + | 1.35853e7i | −0.795477 | + | 0.605983i | ||||
\(44\) | −4.43729e7 | −1.78476 | ||||||||
\(45\) | 8.14325e7 | 2.96034 | ||||||||
\(46\) | −3.86793e7 | + | 6.69945e7i | −1.27370 | + | 2.20612i | ||||
\(47\) | −2.29770e7 | −0.686837 | −0.343418 | − | 0.939182i | \(-0.611585\pi\) | ||||
−0.343418 | + | 0.939182i | \(0.611585\pi\) | |||||||
\(48\) | 4.19416e6 | − | 7.26450e6i | 0.114041 | − | 0.197524i | ||||
\(49\) | −2.27655e7 | + | 3.94310e7i | −0.564150 | + | 0.977136i | ||||
\(50\) | 1.99297e7 | + | 3.45192e7i | 0.450957 | + | 0.781080i | ||||
\(51\) | 7.91352e7 | 1.63796 | ||||||||
\(52\) | 2.51402e7 | + | 4.35441e7i | 0.476819 | + | 0.825875i | ||||
\(53\) | −3.96619e7 | + | 6.86965e7i | −0.690450 | + | 1.19590i | 0.281240 | + | 0.959637i | \(0.409254\pi\) |
−0.971690 | + | 0.236258i | \(0.924079\pi\) | |||||||
\(54\) | −2.50921e8 | −4.01574 | ||||||||
\(55\) | 4.85113e7 | − | 8.40240e7i | 0.714843 | − | 1.23814i | ||||
\(56\) | −4.81943e7 | − | 8.34749e7i | −0.654861 | − | 1.13425i | ||||
\(57\) | −6.41664e7 | − | 1.11139e8i | −0.805139 | − | 1.39454i | ||||
\(58\) | 5.86498e7 | + | 1.01585e8i | 0.680520 | + | 1.17870i | ||||
\(59\) | −2.24292e7 | −0.240980 | −0.120490 | − | 0.992715i | \(-0.538447\pi\) | ||||
−0.120490 | + | 0.992715i | \(0.538447\pi\) | |||||||
\(60\) | −1.79789e8 | − | 3.11404e8i | −1.79095 | − | 3.10201i | ||||
\(61\) | −1.43410e7 | − | 2.48394e7i | −0.132616 | − | 0.229697i | 0.792068 | − | 0.610432i | \(-0.209004\pi\) |
−0.924684 | + | 0.380735i | \(0.875671\pi\) | |||||||
\(62\) | −9.06770e7 | + | 1.57057e8i | −0.779353 | + | 1.34988i | ||||
\(63\) | 2.15923e8 | − | 3.73990e8i | 1.72690 | − | 2.99108i | ||||
\(64\) | −2.18872e8 | −1.63072 | ||||||||
\(65\) | −1.09939e8 | −0.763912 | ||||||||
\(66\) | −2.58793e8 | + | 4.48242e8i | −1.67882 | + | 2.90780i | ||||
\(67\) | 2.23160e7 | − | 3.86525e7i | 0.135294 | − | 0.234337i | −0.790415 | − | 0.612571i | \(-0.790135\pi\) |
0.925710 | + | 0.378234i | \(0.123469\pi\) | |||||||
\(68\) | −1.22833e8 | − | 2.12753e8i | −0.696667 | − | 1.20666i | ||||
\(69\) | 2.75002e8 | + | 4.76317e8i | 1.46054 | + | 2.52974i | ||||
\(70\) | 5.86439e8 | 2.91932 | ||||||||
\(71\) | 6.62070e7 | + | 1.14674e8i | 0.309201 | + | 0.535552i | 0.978188 | − | 0.207722i | \(-0.0666050\pi\) |
−0.668987 | + | 0.743275i | \(0.733272\pi\) | |||||||
\(72\) | 2.42331e8 | + | 4.19730e8i | 1.06271 | + | 1.84066i | ||||
\(73\) | −3.47571e7 | − | 6.02010e7i | −0.143249 | − | 0.248114i | 0.785470 | − | 0.618900i | \(-0.212421\pi\) |
−0.928718 | + | 0.370787i | \(0.879088\pi\) | |||||||
\(74\) | 2.89257e8 | − | 5.01007e8i | 1.12135 | − | 1.94223i | ||||
\(75\) | 2.83392e8 | 1.03422 | ||||||||
\(76\) | −1.99197e8 | + | 3.45019e8i | −0.684891 | + | 1.18627i | ||||
\(77\) | −2.57261e8 | − | 4.45589e8i | −0.833999 | − | 1.44453i | ||||
\(78\) | 5.86493e8 | 1.79406 | ||||||||
\(79\) | −1.96128e7 | − | 3.39703e7i | −0.0566522 | − | 0.0981245i | 0.836308 | − | 0.548259i | \(-0.184709\pi\) |
−0.892961 | + | 0.450135i | \(0.851376\pi\) | |||||||
\(80\) | 2.84692e7 | − | 4.93101e7i | 0.0777088 | − | 0.134596i | ||||
\(81\) | −4.33400e8 | + | 7.50671e8i | −1.11868 | + | 1.93761i | ||||
\(82\) | −7.11581e8 | −1.73805 | ||||||||
\(83\) | 3.78944e8 | − | 6.56351e8i | 0.876444 | − | 1.51805i | 0.0212271 | − | 0.999775i | \(-0.493243\pi\) |
0.855217 | − | 0.518271i | \(-0.173424\pi\) | |||||||
\(84\) | −1.90689e9 | −4.17896 | ||||||||
\(85\) | 5.37155e8 | 1.11613 | ||||||||
\(86\) | 6.45766e8 | − | 4.91935e8i | 1.27301 | − | 0.969762i | ||||
\(87\) | 8.33976e8 | 1.56069 | ||||||||
\(88\) | 5.77450e8 | 1.02646 | ||||||||
\(89\) | −2.58763e8 | + | 4.48191e8i | −0.437167 | + | 0.757196i | −0.997470 | − | 0.0710920i | \(-0.977352\pi\) |
0.560302 | + | 0.828288i | \(0.310685\pi\) | |||||||
\(90\) | −2.94874e9 | −4.73746 | ||||||||
\(91\) | −2.91511e8 | + | 5.04912e8i | −0.445624 | + | 0.771843i | ||||
\(92\) | 8.53711e8 | − | 1.47867e9i | 1.24241 | − | 2.15192i | ||||
\(93\) | 6.44694e8 | + | 1.11664e9i | 0.893677 | + | 1.54789i | ||||
\(94\) | 8.32019e8 | 1.09915 | ||||||||
\(95\) | −4.35549e8 | − | 7.54394e8i | −0.548632 | − | 0.950259i | ||||
\(96\) | −8.37369e8 | + | 1.45037e9i | −1.00623 | + | 1.74284i | ||||
\(97\) | −2.58560e8 | −0.296543 | −0.148272 | − | 0.988947i | \(-0.547371\pi\) | ||||
−0.148272 | + | 0.988947i | \(0.547371\pi\) | |||||||
\(98\) | 8.24358e8 | − | 1.42783e9i | 0.902815 | − | 1.56372i | ||||
\(99\) | 1.29356e9 | + | 2.24052e9i | 1.35341 | + | 2.34418i | ||||
\(100\) | −4.39878e8 | − | 7.61891e8i | −0.439878 | − | 0.761891i | ||||
\(101\) | 5.76509e8 | + | 9.98542e8i | 0.551264 | + | 0.954817i | 0.998184 | + | 0.0602433i | \(0.0191876\pi\) |
−0.446920 | + | 0.894574i | \(0.647479\pi\) | |||||||
\(102\) | −2.86556e9 | −2.62125 | ||||||||
\(103\) | 5.13732e8 | + | 8.89809e8i | 0.449747 | + | 0.778985i | 0.998369 | − | 0.0570852i | \(-0.0181807\pi\) |
−0.548622 | + | 0.836071i | \(0.684847\pi\) | |||||||
\(104\) | −3.27164e8 | − | 5.66664e8i | −0.274230 | − | 0.474980i | ||||
\(105\) | 2.08473e9 | − | 3.61086e9i | 1.67378 | − | 2.89907i | ||||
\(106\) | 1.43619e9 | − | 2.48756e9i | 1.10494 | − | 1.91380i | ||||
\(107\) | −9.05801e8 | −0.668045 | −0.334023 | − | 0.942565i | \(-0.608406\pi\) | ||||
−0.334023 | + | 0.942565i | \(0.608406\pi\) | |||||||
\(108\) | 5.53821e9 | 3.91708 | ||||||||
\(109\) | 1.86554e8 | − | 3.23121e8i | 0.126586 | − | 0.219253i | −0.795766 | − | 0.605604i | \(-0.792931\pi\) |
0.922352 | + | 0.386351i | \(0.126265\pi\) | |||||||
\(110\) | −1.75664e9 | + | 3.04258e9i | −1.14397 | + | 1.98141i | ||||
\(111\) | −2.05655e9 | − | 3.56206e9i | −1.28584 | − | 2.22714i | ||||
\(112\) | −1.50975e8 | − | 2.61497e8i | −0.0906620 | − | 0.157031i | ||||
\(113\) | −1.64930e9 | −0.951581 | −0.475790 | − | 0.879559i | \(-0.657838\pi\) | ||||
−0.475790 | + | 0.879559i | \(0.657838\pi\) | |||||||
\(114\) | 2.32352e9 | + | 4.02446e9i | 1.28847 | + | 2.23170i | ||||
\(115\) | 1.86666e9 | + | 3.23315e9i | 0.995234 | + | 1.72380i | ||||
\(116\) | −1.29449e9 | − | 2.24212e9i | −0.663801 | − | 1.14974i | ||||
\(117\) | 1.46578e9 | − | 2.53881e9i | 0.723157 | − | 1.25254i | ||||
\(118\) | 8.12183e8 | 0.385642 | ||||||||
\(119\) | 1.42430e9 | − | 2.46696e9i | 0.651088 | − | 1.12772i | ||||
\(120\) | 2.33970e9 | + | 4.05248e9i | 1.03002 | + | 1.78404i | ||||
\(121\) | 7.24480e8 | 0.307250 | ||||||||
\(122\) | 5.19301e8 | + | 8.99456e8i | 0.212227 | + | 0.367587i | ||||
\(123\) | −2.52960e9 | + | 4.38139e9i | −0.996503 | + | 1.72599i | ||||
\(124\) | 2.00138e9 | − | 3.46649e9i | 0.760206 | − | 1.31672i | ||||
\(125\) | −1.48955e9 | −0.545706 | ||||||||
\(126\) | −7.81877e9 | + | 1.35425e10i | −2.76357 | + | 4.78665i | ||||
\(127\) | 2.65031e9 | 0.904025 | 0.452013 | − | 0.892011i | \(-0.350706\pi\) | ||||
0.452013 | + | 0.892011i | \(0.350706\pi\) | |||||||
\(128\) | 4.59495e9 | 1.51299 | ||||||||
\(129\) | −7.33344e8 | − | 5.72493e9i | −0.233160 | − | 1.82019i | ||||
\(130\) | 3.98100e9 | 1.22250 | ||||||||
\(131\) | −4.79702e9 | −1.42315 | −0.711575 | − | 0.702610i | \(-0.752018\pi\) | ||||
−0.711575 | + | 0.702610i | \(0.752018\pi\) | |||||||
\(132\) | 5.71194e9 | − | 9.89338e9i | 1.63757 | − | 2.83636i | ||||
\(133\) | −4.61954e9 | −1.28017 | ||||||||
\(134\) | −8.08083e8 | + | 1.39964e9i | −0.216513 | + | 0.375012i | ||||
\(135\) | −6.05472e9 | + | 1.04871e10i | −1.56889 | + | 2.71740i | ||||
\(136\) | 1.59850e9 | + | 2.76868e9i | 0.400670 | + | 0.693980i | ||||
\(137\) | 3.85984e9 | 0.936110 | 0.468055 | − | 0.883699i | \(-0.344955\pi\) | ||||
0.468055 | + | 0.883699i | \(0.344955\pi\) | |||||||
\(138\) | −9.95806e9 | − | 1.72479e10i | −2.33732 | − | 4.04836i | ||||
\(139\) | 2.55069e9 | − | 4.41792e9i | 0.579549 | − | 1.00381i | −0.415982 | − | 0.909373i | \(-0.636562\pi\) |
0.995531 | − | 0.0944358i | \(-0.0301047\pi\) | |||||||
\(140\) | −1.29436e10 | −2.84760 | ||||||||
\(141\) | 2.95774e9 | − | 5.12296e9i | 0.630194 | − | 1.09153i | ||||
\(142\) | −2.39742e9 | − | 4.15244e9i | −0.494818 | − | 0.857050i | ||||
\(143\) | −1.74640e9 | − | 3.02485e9i | −0.349246 | − | 0.604912i | ||||
\(144\) | 7.59138e8 | + | 1.31487e9i | 0.147126 | + | 0.254830i | ||||
\(145\) | 5.66088e9 | 1.06348 | ||||||||
\(146\) | 1.25858e9 | + | 2.17993e9i | 0.229242 | + | 0.397059i | ||||
\(147\) | −5.86102e9 | − | 1.01516e10i | −1.03525 | − | 1.79310i | ||||
\(148\) | −6.38433e9 | + | 1.10580e10i | −1.09380 | + | 1.89452i | ||||
\(149\) | −4.24378e9 | + | 7.35045e9i | −0.705366 | + | 1.22173i | 0.261193 | + | 0.965287i | \(0.415884\pi\) |
−0.966559 | + | 0.256444i | \(0.917449\pi\) | |||||||
\(150\) | −1.02619e10 | −1.65507 | ||||||||
\(151\) | −5.76939e8 | −0.0903095 | −0.0451548 | − | 0.998980i | \(-0.514378\pi\) | ||||
−0.0451548 | + | 0.998980i | \(0.514378\pi\) | |||||||
\(152\) | 2.59226e9 | − | 4.48993e9i | 0.393897 | − | 0.682250i | ||||
\(153\) | −7.16169e9 | + | 1.24044e10i | −1.05658 | + | 1.83006i | ||||
\(154\) | 9.31565e9 | + | 1.61352e10i | 1.33466 | + | 2.31170i | ||||
\(155\) | 4.37606e9 | + | 7.57956e9i | 0.608963 | + | 1.05476i | ||||
\(156\) | −1.29448e10 | −1.74998 | ||||||||
\(157\) | 3.02528e8 | + | 5.23993e8i | 0.0397390 | + | 0.0688299i | 0.885211 | − | 0.465190i | \(-0.154014\pi\) |
−0.845472 | + | 0.534020i | \(0.820681\pi\) | |||||||
\(158\) | 7.10196e8 | + | 1.23009e9i | 0.0906611 | + | 0.157030i | ||||
\(159\) | −1.02110e10 | − | 1.76860e10i | −1.26702 | − | 2.19454i | ||||
\(160\) | −5.68390e9 | + | 9.84481e9i | −0.685657 | + | 1.18759i | ||||
\(161\) | 1.97983e10 | 2.32226 | ||||||||
\(162\) | 1.56938e10 | − | 2.71825e10i | 1.79024 | − | 3.10078i | ||||
\(163\) | −4.38288e9 | − | 7.59137e9i | −0.486312 | − | 0.842317i | 0.513564 | − | 0.858051i | \(-0.328325\pi\) |
−0.999876 | + | 0.0157339i | \(0.994992\pi\) | |||||||
\(164\) | 1.57057e10 | 1.69535 | ||||||||
\(165\) | 1.24893e10 | + | 2.16321e10i | 1.31178 | + | 2.27207i | ||||
\(166\) | −1.37219e10 | + | 2.37671e10i | −1.40258 | + | 2.42934i | ||||
\(167\) | 3.25985e9 | − | 5.64623e9i | 0.324320 | − | 0.561739i | −0.657054 | − | 0.753843i | \(-0.728198\pi\) |
0.981375 | + | 0.192104i | \(0.0615312\pi\) | |||||||
\(168\) | 2.48154e10 | 2.40342 | ||||||||
\(169\) | 3.32335e9 | − | 5.75620e9i | 0.313390 | − | 0.542808i | ||||
\(170\) | −1.94509e10 | −1.78615 | ||||||||
\(171\) | 2.32281e10 | 2.07745 | ||||||||
\(172\) | −1.42530e10 | + | 1.08578e10i | −1.24174 | + | 0.945937i | ||||
\(173\) | −1.55926e10 | −1.32346 | −0.661732 | − | 0.749740i | \(-0.730178\pi\) | ||||
−0.661732 | + | 0.749740i | \(0.730178\pi\) | |||||||
\(174\) | −3.01990e10 | −2.49759 | ||||||||
\(175\) | 5.10057e9 | − | 8.83444e9i | 0.411100 | − | 0.712046i | ||||
\(176\) | 1.80894e9 | 0.142108 | ||||||||
\(177\) | 2.88722e9 | − | 5.00082e9i | 0.221106 | − | 0.382967i | ||||
\(178\) | 9.37005e9 | − | 1.62294e10i | 0.699604 | − | 1.21175i | ||||
\(179\) | −6.21179e9 | − | 1.07591e10i | −0.452249 | − | 0.783319i | 0.546276 | − | 0.837605i | \(-0.316045\pi\) |
−0.998525 | + | 0.0542864i | \(0.982712\pi\) | |||||||
\(180\) | 6.50832e10 | 4.62107 | ||||||||
\(181\) | 7.75827e9 | + | 1.34377e10i | 0.537293 | + | 0.930619i | 0.999049 | + | 0.0436120i | \(0.0138865\pi\) |
−0.461755 | + | 0.887007i | \(0.652780\pi\) | |||||||
\(182\) | 1.05559e10 | − | 1.82833e10i | 0.713137 | − | 1.23519i | ||||
\(183\) | 7.38424e9 | 0.486716 | ||||||||
\(184\) | −1.11098e10 | + | 1.92428e10i | −0.714541 | + | 1.23762i | ||||
\(185\) | −1.39595e10 | − | 2.41786e10i | −0.876188 | − | 1.51760i | ||||
\(186\) | −2.33450e10 | − | 4.04346e10i | −1.43016 | − | 2.47711i | ||||
\(187\) | 8.53277e9 | + | 1.47792e10i | 0.510273 | + | 0.883820i | ||||
\(188\) | −1.83639e10 | −1.07215 | ||||||||
\(189\) | 3.21089e10 | + | 5.56143e10i | 1.83041 | + | 3.17036i | ||||
\(190\) | 1.57716e10 | + | 2.73173e10i | 0.877982 | + | 1.52071i | ||||
\(191\) | −1.25987e10 | + | 2.18217e10i | −0.684978 | + | 1.18642i | 0.288465 | + | 0.957490i | \(0.406855\pi\) |
−0.973444 | + | 0.228927i | \(0.926478\pi\) | |||||||
\(192\) | 2.81745e10 | − | 4.87996e10i | 1.49624 | − | 2.59156i | ||||
\(193\) | 3.06790e10 | 1.59160 | 0.795800 | − | 0.605560i | \(-0.207051\pi\) | ||||
0.795800 | + | 0.605560i | \(0.207051\pi\) | |||||||
\(194\) | 9.36268e9 | 0.474562 | ||||||||
\(195\) | 1.41521e10 | − | 2.45121e10i | 0.700912 | − | 1.21402i | ||||
\(196\) | −1.81948e10 | + | 3.15144e10i | −0.880635 | + | 1.52530i | ||||
\(197\) | 1.15231e10 | + | 1.99586e10i | 0.545095 | + | 0.944133i | 0.998601 | + | 0.0528792i | \(0.0168398\pi\) |
−0.453506 | + | 0.891253i | \(0.649827\pi\) | |||||||
\(198\) | −4.68411e10 | − | 8.11312e10i | −2.16588 | − | 3.75141i | ||||
\(199\) | 6.78696e8 | 0.0306787 | 0.0153393 | − | 0.999882i | \(-0.495117\pi\) | ||||
0.0153393 | + | 0.999882i | \(0.495117\pi\) | |||||||
\(200\) | 5.72438e9 | + | 9.91492e9i | 0.252984 | + | 0.438182i | ||||
\(201\) | 5.74530e9 | + | 9.95115e9i | 0.248274 | + | 0.430022i | ||||
\(202\) | −2.08759e10 | − | 3.61581e10i | −0.882194 | − | 1.52800i | ||||
\(203\) | 1.50102e10 | − | 2.59984e10i | 0.620373 | − | 1.07452i | ||||
\(204\) | 6.32472e10 | 2.55685 | ||||||||
\(205\) | −1.71704e10 | + | 2.97401e10i | −0.679030 | + | 1.17611i | ||||
\(206\) | −1.86027e10 | − | 3.22208e10i | −0.719736 | − | 1.24662i | ||||
\(207\) | −9.95500e10 | −3.76855 | ||||||||
\(208\) | −1.02489e9 | − | 1.77516e9i | −0.0379657 | − | 0.0657585i | ||||
\(209\) | 1.38375e10 | − | 2.39673e10i | 0.501649 | − | 0.868881i | ||||
\(210\) | −7.54899e10 | + | 1.30752e11i | −2.67856 | + | 4.63941i | ||||
\(211\) | −3.09326e10 | −1.07435 | −0.537174 | − | 0.843472i | \(-0.680508\pi\) | ||||
−0.537174 | + | 0.843472i | \(0.680508\pi\) | |||||||
\(212\) | −3.16990e10 | + | 5.49042e10i | −1.07779 | + | 1.86679i | ||||
\(213\) | −3.40902e10 | −1.13481 | ||||||||
\(214\) | 3.27999e10 | 1.06908 | ||||||||
\(215\) | −4.97780e9 | − | 3.88597e10i | −0.158878 | − | 1.24030i | ||||
\(216\) | −7.20719e10 | −2.25281 | ||||||||
\(217\) | 4.64136e10 | 1.42094 | ||||||||
\(218\) | −6.75529e9 | + | 1.17005e10i | −0.202577 | + | 0.350873i | ||||
\(219\) | 1.78965e10 | 0.525740 | ||||||||
\(220\) | 3.87716e10 | − | 6.71544e10i | 1.11587 | − | 1.93274i | ||||
\(221\) | 9.66877e9 | − | 1.67468e10i | 0.272650 | − | 0.472244i | ||||
\(222\) | 7.44697e10 | + | 1.28985e11i | 2.05774 | + | 3.56411i | ||||
\(223\) | 2.20681e10 | 0.597575 | 0.298788 | − | 0.954320i | \(-0.403418\pi\) | ||||
0.298788 | + | 0.954320i | \(0.403418\pi\) | |||||||
\(224\) | 3.01424e10 | + | 5.22082e10i | 0.799949 | + | 1.38555i | ||||
\(225\) | −2.56468e10 | + | 4.44215e10i | −0.667131 | + | 1.15551i | ||||
\(226\) | 5.97225e10 | 1.52282 | ||||||||
\(227\) | −5.75508e9 | + | 9.96809e9i | −0.143858 | + | 0.249170i | −0.928946 | − | 0.370214i | \(-0.879284\pi\) |
0.785088 | + | 0.619384i | \(0.212618\pi\) | |||||||
\(228\) | −5.12836e10 | − | 8.88259e10i | −1.25682 | − | 2.17687i | ||||
\(229\) | −8.11288e9 | − | 1.40519e10i | −0.194947 | − | 0.337657i | 0.751936 | − | 0.659236i | \(-0.229120\pi\) |
−0.946883 | + | 0.321578i | \(0.895787\pi\) | |||||||
\(230\) | −6.75935e10 | − | 1.17075e11i | −1.59268 | − | 2.75861i | ||||
\(231\) | 1.32465e11 | 3.06088 | ||||||||
\(232\) | 1.68459e10 | + | 2.91780e10i | 0.381768 | + | 0.661242i | ||||
\(233\) | −3.92958e10 | − | 6.80624e10i | −0.873463 | − | 1.51288i | −0.858391 | − | 0.512997i | \(-0.828535\pi\) |
−0.0150727 | − | 0.999886i | \(-0.504798\pi\) | |||||||
\(234\) | −5.30772e10 | + | 9.19325e10i | −1.15728 | + | 2.00446i | ||||
\(235\) | 2.00766e10 | − | 3.47737e10i | 0.429422 | − | 0.743781i | ||||
\(236\) | −1.79261e10 | −0.376168 | ||||||||
\(237\) | 1.00987e10 | 0.207920 | ||||||||
\(238\) | −5.15752e10 | + | 8.93308e10i | −1.04194 | + | 1.80470i | ||||
\(239\) | −1.21079e10 | + | 2.09715e10i | −0.240038 | + | 0.415757i | −0.960725 | − | 0.277503i | \(-0.910493\pi\) |
0.720687 | + | 0.693260i | \(0.243826\pi\) | |||||||
\(240\) | 7.32944e9 | + | 1.26950e10i | 0.142600 | + | 0.246991i | ||||
\(241\) | −3.43135e9 | − | 5.94327e9i | −0.0655221 | − | 0.113488i | 0.831403 | − | 0.555669i | \(-0.187538\pi\) |
−0.896925 | + | 0.442182i | \(0.854205\pi\) | |||||||
\(242\) | −2.62341e10 | −0.491696 | ||||||||
\(243\) | −4.33835e10 | − | 7.51425e10i | −0.798173 | − | 1.38248i | ||||
\(244\) | −1.14618e10 | − | 1.98523e10i | −0.207013 | − | 0.358556i | ||||
\(245\) | −3.97835e10 | − | 6.89070e10i | −0.705432 | − | 1.22184i | ||||
\(246\) | 9.15990e10 | − | 1.58654e11i | 1.59471 | − | 2.76213i | ||||
\(247\) | −3.13595e10 | −0.536083 | ||||||||
\(248\) | −2.60451e10 | + | 4.51114e10i | −0.437213 | + | 0.757275i | ||||
\(249\) | 9.75600e10 | + | 1.68979e11i | 1.60833 | + | 2.78571i | ||||
\(250\) | 5.39378e10 | 0.873299 | ||||||||
\(251\) | −5.11616e10 | − | 8.86145e10i | −0.813603 | − | 1.40920i | −0.910327 | − | 0.413891i | \(-0.864170\pi\) |
0.0967236 | − | 0.995311i | \(-0.469164\pi\) | |||||||
\(252\) | 1.72572e11 | − | 2.98904e11i | 2.69568 | − | 4.66905i | ||||
\(253\) | −5.93042e10 | + | 1.02718e11i | −0.910004 | + | 1.57617i | ||||
\(254\) | −9.59703e10 | −1.44672 | ||||||||
\(255\) | −6.91458e10 | + | 1.19764e11i | −1.02408 | + | 1.77376i | ||||
\(256\) | −5.43251e10 | −0.790535 | ||||||||
\(257\) | 1.01818e11 | 1.45587 | 0.727937 | − | 0.685644i | \(-0.240480\pi\) | ||||
0.727937 | + | 0.685644i | \(0.240480\pi\) | |||||||
\(258\) | 2.65550e10 | + | 2.07305e11i | 0.373128 | + | 2.91287i | ||||
\(259\) | −1.48058e11 | −2.04448 | ||||||||
\(260\) | −8.78668e10 | −1.19246 | ||||||||
\(261\) | −7.54743e10 | + | 1.30725e11i | −1.00674 | + | 1.74372i | ||||
\(262\) | 1.73704e11 | 2.27748 | ||||||||
\(263\) | −2.71812e10 | + | 4.70792e10i | −0.350322 | + | 0.606775i | −0.986306 | − | 0.164927i | \(-0.947261\pi\) |
0.635984 | + | 0.771702i | \(0.280594\pi\) | |||||||
\(264\) | −7.43328e10 | + | 1.28748e11i | −0.941809 | + | 1.63126i | ||||
\(265\) | −6.93106e10 | − | 1.20050e11i | −0.863363 | − | 1.49539i | ||||
\(266\) | 1.67278e11 | 2.04866 | ||||||||
\(267\) | −6.66191e10 | − | 1.15388e11i | −0.802229 | − | 1.38950i | ||||
\(268\) | 1.78356e10 | − | 3.08922e10i | 0.211194 | − | 0.365799i | ||||
\(269\) | 6.91762e10 | 0.805511 | 0.402756 | − | 0.915308i | \(-0.368052\pi\) | ||||
0.402756 | + | 0.915308i | \(0.368052\pi\) | |||||||
\(270\) | 2.19247e11 | − | 3.79747e11i | 2.51071 | − | 4.34868i | ||||
\(271\) | −5.01781e10 | − | 8.69111e10i | −0.565136 | − | 0.978844i | −0.997037 | − | 0.0769230i | \(-0.975490\pi\) |
0.431901 | − | 0.901921i | \(-0.357843\pi\) | |||||||
\(272\) | 5.00752e9 | + | 8.67328e9i | 0.0554706 | + | 0.0960778i | ||||
\(273\) | −7.50500e10 | − | 1.29990e11i | −0.817747 | − | 1.41638i | ||||
\(274\) | −1.39768e11 | −1.49807 | ||||||||
\(275\) | 3.05568e10 | + | 5.29259e10i | 0.322189 | + | 0.558047i | ||||
\(276\) | 2.19789e11 | + | 3.80686e11i | 2.27990 | + | 3.94890i | ||||
\(277\) | 8.42440e9 | − | 1.45915e10i | 0.0859765 | − | 0.148916i | −0.819830 | − | 0.572606i | \(-0.805932\pi\) |
0.905807 | + | 0.423691i | \(0.139266\pi\) | |||||||
\(278\) | −9.23626e10 | + | 1.59977e11i | −0.927459 | + | 1.60641i | ||||
\(279\) | −2.33378e11 | −2.30590 | ||||||||
\(280\) | 1.68442e11 | 1.63772 | ||||||||
\(281\) | 7.73070e10 | − | 1.33900e11i | 0.739674 | − | 1.28115i | −0.212968 | − | 0.977059i | \(-0.568313\pi\) |
0.952642 | − | 0.304094i | \(-0.0983535\pi\) | |||||||
\(282\) | −1.07102e11 | + | 1.85507e11i | −1.00851 | + | 1.74678i | ||||
\(283\) | 6.97801e10 | + | 1.20863e11i | 0.646684 | + | 1.12009i | 0.983910 | + | 0.178666i | \(0.0571783\pi\) |
−0.337225 | + | 0.941424i | \(0.609488\pi\) | |||||||
\(284\) | 5.29146e10 | + | 9.16507e10i | 0.482662 | + | 0.835994i | ||||
\(285\) | 2.24266e11 | 2.01355 | ||||||||
\(286\) | 6.32387e10 | + | 1.09533e11i | 0.558902 | + | 0.968047i | ||||
\(287\) | 9.10569e10 | + | 1.57715e11i | 0.792217 | + | 1.37216i | ||||
\(288\) | −1.51563e11 | − | 2.62514e11i | −1.29815 | − | 2.24847i | ||||
\(289\) | 1.20531e10 | − | 2.08766e10i | 0.101639 | − | 0.176043i | ||||
\(290\) | −2.04985e11 | −1.70189 | ||||||||
\(291\) | 3.32834e10 | − | 5.76485e10i | 0.272088 | − | 0.471270i | ||||
\(292\) | −2.77789e10 | − | 4.81144e10i | −0.223610 | − | 0.387304i | ||||
\(293\) | −9.01985e10 | −0.714982 | −0.357491 | − | 0.933917i | \(-0.616368\pi\) | ||||
−0.357491 | + | 0.933917i | \(0.616368\pi\) | |||||||
\(294\) | 2.12233e11 | + | 3.67598e11i | 1.65672 | + | 2.86952i | ||||
\(295\) | 1.95979e10 | − | 3.39446e10i | 0.150665 | − | 0.260959i | ||||
\(296\) | 8.30829e10 | − | 1.43904e11i | 0.629070 | − | 1.08958i | ||||
\(297\) | −3.84720e11 | −2.86907 | ||||||||
\(298\) | 1.53671e11 | − | 2.66166e11i | 1.12881 | − | 1.95515i | ||||
\(299\) | 1.34399e11 | 0.972470 | ||||||||
\(300\) | 2.26495e11 | 1.61441 | ||||||||
\(301\) | −1.91668e11 | − | 8.01777e10i | −1.34586 | − | 0.562995i | ||||
\(302\) | 2.08915e10 | 0.144523 | ||||||||
\(303\) | −2.96847e11 | −2.02321 | ||||||||
\(304\) | 8.12064e9 | − | 1.40654e10i | 0.0545330 | − | 0.0944539i | ||||
\(305\) | 5.01229e10 | 0.331655 | ||||||||
\(306\) | 2.59331e11 | − | 4.49175e11i | 1.69086 | − | 2.92866i | ||||
\(307\) | 5.67334e10 | − | 9.82651e10i | 0.364516 | − | 0.631359i | −0.624183 | − | 0.781278i | \(-0.714568\pi\) |
0.988698 | + | 0.149919i | \(0.0479013\pi\) | |||||||
\(308\) | −2.05611e11 | − | 3.56128e11i | −1.30187 | − | 2.25490i | ||||
\(309\) | −2.64522e11 | −1.65063 | ||||||||
\(310\) | −1.58461e11 | − | 2.74463e11i | −0.974530 | − | 1.68794i | ||||
\(311\) | −1.44547e11 | + | 2.50363e11i | −0.876168 | + | 1.51757i | −0.0206553 | + | 0.999787i | \(0.506575\pi\) |
−0.855513 | + | 0.517781i | \(0.826758\pi\) | |||||||
\(312\) | 1.68458e11 | 1.00646 | ||||||||
\(313\) | 1.20961e10 | − | 2.09511e10i | 0.0712357 | − | 0.123384i | −0.828207 | − | 0.560422i | \(-0.810639\pi\) |
0.899443 | + | 0.437038i | \(0.143972\pi\) | |||||||
\(314\) | −1.09548e10 | − | 1.89743e10i | −0.0635947 | − | 0.110149i | ||||
\(315\) | 3.77333e11 | + | 6.53561e11i | 2.15937 | + | 3.74015i | ||||
\(316\) | −1.56751e10 | − | 2.71501e10i | −0.0884338 | − | 0.153172i | ||||
\(317\) | 1.89656e11 | 1.05487 | 0.527435 | − | 0.849596i | \(-0.323154\pi\) | ||||
0.527435 | + | 0.849596i | \(0.323154\pi\) | |||||||
\(318\) | 3.69751e11 | + | 6.40427e11i | 2.02762 | + | 3.51195i | ||||
\(319\) | 8.99237e10 | + | 1.55752e11i | 0.486201 | + | 0.842125i | ||||
\(320\) | 1.91243e11 | − | 3.31243e11i | 1.01955 | − | 1.76592i | ||||
\(321\) | 1.16600e11 | − | 2.01957e11i | 0.612952 | − | 1.06166i | ||||
\(322\) | −7.16913e11 | −3.71633 | ||||||||
\(323\) | 1.53220e11 | 0.783256 | ||||||||
\(324\) | −3.46386e11 | + | 5.99958e11i | −1.74625 | + | 3.02460i | ||||
\(325\) | 3.46249e10 | − | 5.99720e10i | 0.172152 | − | 0.298177i | ||||
\(326\) | 1.58708e11 | + | 2.74890e11i | 0.778251 | + | 1.34797i | ||||
\(327\) | 4.80287e10 | + | 8.31882e10i | 0.232293 | + | 0.402343i | ||||
\(328\) | −2.04387e11 | −0.975036 | ||||||||
\(329\) | −1.06469e11 | − | 1.84409e11i | −0.501003 | − | 0.867762i | ||||
\(330\) | −4.52249e11 | − | 7.83319e11i | −2.09925 | − | 3.63602i | ||||
\(331\) | 1.35784e10 | + | 2.35185e10i | 0.0621759 | + | 0.107692i | 0.895438 | − | 0.445187i | \(-0.146863\pi\) |
−0.833262 | + | 0.552879i | \(0.813529\pi\) | |||||||
\(332\) | 3.02863e11 | − | 5.24575e11i | 1.36812 | − | 2.36966i | ||||
\(333\) | 7.44467e11 | 3.31777 | ||||||||
\(334\) | −1.18042e11 | + | 2.04455e11i | −0.519013 | + | 0.898957i | ||||
\(335\) | 3.89980e10 | + | 6.75466e10i | 0.169177 | + | 0.293023i | ||||
\(336\) | 7.77379e10 | 0.332741 | ||||||||
\(337\) | 2.24359e10 | + | 3.88602e10i | 0.0947567 | + | 0.164123i | 0.909507 | − | 0.415689i | \(-0.136459\pi\) |
−0.814750 | + | 0.579812i | \(0.803126\pi\) | |||||||
\(338\) | −1.20341e11 | + | 2.08437e11i | −0.501522 | + | 0.868661i | ||||
\(339\) | 2.12307e11 | − | 3.67727e11i | 0.873104 | − | 1.51226i | ||||
\(340\) | 4.29310e11 | 1.74227 | ||||||||
\(341\) | −1.39029e11 | + | 2.40805e11i | −0.556813 | + | 0.964428i | ||||
\(342\) | −8.41109e11 | −3.32457 | ||||||||
\(343\) | −4.79806e10 | −0.187172 | ||||||||
\(344\) | 1.85483e11 | − | 1.41298e11i | 0.714152 | − | 0.544031i | ||||
\(345\) | −9.61151e11 | −3.65263 | ||||||||
\(346\) | 5.64624e11 | 2.11795 | ||||||||
\(347\) | 2.52825e11 | − | 4.37905e11i | 0.936132 | − | 1.62143i | 0.163529 | − | 0.986539i | \(-0.447712\pi\) |
0.772603 | − | 0.634890i | \(-0.218954\pi\) | |||||||
\(348\) | 6.66538e11 | 2.43623 | ||||||||
\(349\) | 2.15743e11 | − | 3.73678e11i | 0.778435 | − | 1.34829i | −0.154409 | − | 0.988007i | \(-0.549347\pi\) |
0.932844 | − | 0.360281i | \(-0.117319\pi\) | |||||||
\(350\) | −1.84696e11 | + | 3.19903e11i | −0.657887 | + | 1.13949i | ||||
\(351\) | 2.17969e11 | + | 3.77534e11i | 0.766502 | + | 1.32762i | ||||
\(352\) | −3.61158e11 | −1.25388 | ||||||||
\(353\) | 6.53310e9 | + | 1.13157e10i | 0.0223941 | + | 0.0387877i | 0.877005 | − | 0.480481i | \(-0.159538\pi\) |
−0.854611 | + | 0.519268i | \(0.826204\pi\) | |||||||
\(354\) | −1.04549e11 | + | 1.81084e11i | −0.353839 | + | 0.612866i | ||||
\(355\) | −2.31398e11 | −0.773272 | ||||||||
\(356\) | −2.06811e11 | + | 3.58208e11i | −0.682416 | + | 1.18198i | ||||
\(357\) | 3.66689e11 | + | 6.35123e11i | 1.19479 | + | 2.06943i | ||||
\(358\) | 2.24934e11 | + | 3.89598e11i | 0.723739 | + | 1.25355i | ||||
\(359\) | 1.11668e11 | + | 1.93414e11i | 0.354815 | + | 0.614558i | 0.987086 | − | 0.160189i | \(-0.0512104\pi\) |
−0.632271 | + | 0.774747i | \(0.717877\pi\) | |||||||
\(360\) | −8.46965e11 | −2.65769 | ||||||||
\(361\) | 3.71063e10 | + | 6.42700e10i | 0.114991 | + | 0.199171i | ||||
\(362\) | −2.80934e11 | − | 4.86592e11i | −0.859836 | − | 1.48928i | ||||
\(363\) | −9.32594e10 | + | 1.61530e11i | −0.281911 | + | 0.488285i | ||||
\(364\) | −2.32984e11 | + | 4.03540e11i | −0.695617 | + | 1.20484i | ||||
\(365\) | 1.21478e11 | 0.358246 | ||||||||
\(366\) | −2.67390e11 | −0.778898 | ||||||||
\(367\) | 9.73403e10 | − | 1.68598e11i | 0.280089 | − | 0.485128i | −0.691318 | − | 0.722551i | \(-0.742969\pi\) |
0.971406 | + | 0.237423i | \(0.0763028\pi\) | |||||||
\(368\) | −3.48031e10 | + | 6.02808e10i | −0.0989243 | + | 0.171342i | ||||
\(369\) | −4.57854e11 | − | 7.93026e11i | −1.28561 | − | 2.22674i | ||||
\(370\) | 5.05486e11 | + | 8.75528e11i | 1.40217 | + | 2.42863i | ||||
\(371\) | −7.35125e11 | −2.01455 | ||||||||
\(372\) | 5.15258e11 | + | 8.92454e11i | 1.39502 | + | 2.41625i | ||||
\(373\) | −1.93723e11 | − | 3.35539e11i | −0.518194 | − | 0.897538i | −0.999777 | − | 0.0211371i | \(-0.993271\pi\) |
0.481583 | − | 0.876400i | \(-0.340062\pi\) | |||||||
\(374\) | −3.08979e11 | − | 5.35168e11i | −0.816596 | − | 1.41439i | ||||
\(375\) | 1.91743e11 | − | 3.32109e11i | 0.500702 | − | 0.867241i | ||||
\(376\) | 2.38980e11 | 0.616618 | ||||||||
\(377\) | 1.01895e11 | − | 1.76488e11i | 0.259788 | − | 0.449966i | ||||
\(378\) | −1.16269e12 | − | 2.01384e12i | −2.92922 | − | 5.07356i | ||||
\(379\) | −2.34205e11 | −0.583069 | −0.291535 | − | 0.956560i | \(-0.594166\pi\) | ||||
−0.291535 | + | 0.956560i | \(0.594166\pi\) | |||||||
\(380\) | −3.48104e11 | − | 6.02933e11i | −0.856412 | − | 1.48335i | ||||
\(381\) | −3.41164e11 | + | 5.90914e11i | −0.829471 | + | 1.43669i | ||||
\(382\) | 4.56212e11 | − | 7.90182e11i | 1.09618 | − | 1.89864i | ||||
\(383\) | −6.00189e11 | −1.42526 | −0.712630 | − | 0.701541i | \(-0.752496\pi\) | ||||
−0.712630 | + | 0.701541i | \(0.752496\pi\) | |||||||
\(384\) | −5.91490e11 | + | 1.02449e12i | −1.38822 | + | 2.40446i | ||||
\(385\) | 8.99146e11 | 2.08572 | ||||||||
\(386\) | −1.11092e12 | −2.54705 | ||||||||
\(387\) | 9.63747e11 | + | 4.03151e11i | 2.18406 | + | 0.913626i | ||||
\(388\) | −2.06649e11 | −0.462903 | ||||||||
\(389\) | 2.43946e11 | 0.540159 | 0.270079 | − | 0.962838i | \(-0.412950\pi\) | ||||
0.270079 | + | 0.962838i | \(0.412950\pi\) | |||||||
\(390\) | −5.12458e11 | + | 8.87604e11i | −1.12168 | + | 1.94280i | ||||
\(391\) | −6.56664e11 | −1.42085 | ||||||||
\(392\) | 2.36780e11 | − | 4.10115e11i | 0.506474 | − | 0.877239i | ||||
\(393\) | 6.17501e11 | − | 1.06954e12i | 1.30578 | − | 2.26168i | ||||
\(394\) | −4.17263e11 | − | 7.22720e11i | −0.872322 | − | 1.51091i | ||||
\(395\) | 6.85480e10 | 0.141680 | ||||||||
\(396\) | 1.03385e12 | + | 1.79069e12i | 2.11267 | + | 3.65925i | ||||
\(397\) | 1.12168e11 | − | 1.94281e11i | 0.226627 | − | 0.392530i | −0.730179 | − | 0.683256i | \(-0.760563\pi\) |
0.956806 | + | 0.290726i | \(0.0938968\pi\) | |||||||
\(398\) | −2.45762e10 | −0.0490954 | ||||||||
\(399\) | 5.94655e11 | − | 1.02997e12i | 1.17459 | − | 2.03445i | ||||
\(400\) | 1.79325e10 | + | 3.10599e10i | 0.0350243 | + | 0.0606639i | ||||
\(401\) | 3.75387e11 | + | 6.50189e11i | 0.724986 | + | 1.25571i | 0.958980 | + | 0.283474i | \(0.0914870\pi\) |
−0.233994 | + | 0.972238i | \(0.575180\pi\) | |||||||
\(402\) | −2.08042e11 | − | 3.60340e11i | −0.397315 | − | 0.688169i | ||||
\(403\) | 3.15076e11 | 0.595035 | ||||||||
\(404\) | 4.60763e11 | + | 7.98064e11i | 0.860520 | + | 1.49046i | ||||
\(405\) | −7.57382e11 | − | 1.31182e12i | −1.39884 | − | 2.42286i | ||||
\(406\) | −5.43531e11 | + | 9.41424e11i | −0.992790 | + | 1.71956i | ||||
\(407\) | 4.43497e11 | − | 7.68159e11i | 0.801153 | − | 1.38764i | ||||
\(408\) | −8.23072e11 | −1.47051 | ||||||||
\(409\) | −1.29132e11 | −0.228180 | −0.114090 | − | 0.993470i | \(-0.536395\pi\) | ||||
−0.114090 | + | 0.993470i | \(0.536395\pi\) | |||||||
\(410\) | 6.21757e11 | − | 1.07691e12i | 1.08666 | − | 1.88215i | ||||
\(411\) | −4.96862e11 | + | 8.60590e11i | −0.858909 | + | 1.48767i | ||||
\(412\) | 4.10589e11 | + | 7.11161e11i | 0.702053 | + | 1.21599i | ||||
\(413\) | −1.03930e11 | − | 1.80013e11i | −0.175779 | − | 0.304458i | ||||
\(414\) | 3.60479e12 | 6.03085 | ||||||||
\(415\) | 6.62219e11 | + | 1.14700e12i | 1.09594 | + | 1.89822i | ||||
\(416\) | 2.04620e11 | + | 3.54412e11i | 0.334987 | + | 0.580214i | ||||
\(417\) | 6.56679e11 | + | 1.13740e12i | 1.06351 | + | 1.84205i | ||||
\(418\) | −5.01069e11 | + | 8.67876e11i | −0.802794 | + | 1.39048i | ||||
\(419\) | −4.00440e11 | −0.634708 | −0.317354 | − | 0.948307i | \(-0.602794\pi\) | ||||
−0.317354 | + | 0.948307i | \(0.602794\pi\) | |||||||
\(420\) | 1.66618e12 | − | 2.88590e12i | 2.61276 | − | 4.52543i | ||||
\(421\) | −4.81596e10 | − | 8.34148e10i | −0.0747159 | − | 0.129412i | 0.826247 | − | 0.563308i | \(-0.190472\pi\) |
−0.900963 | + | 0.433897i | \(0.857138\pi\) | |||||||
\(422\) | 1.12010e12 | 1.71929 | ||||||||
\(423\) | 5.35347e11 | + | 9.27249e11i | 0.813025 | + | 1.40820i | ||||
\(424\) | 4.12517e11 | − | 7.14500e11i | 0.619862 | − | 1.07363i | ||||
\(425\) | −1.69174e11 | + | 2.93019e11i | −0.251527 | + | 0.435657i | ||||
\(426\) | 1.23444e12 | 1.81604 | ||||||||
\(427\) | 1.32904e11 | − | 2.30196e11i | 0.193469 | − | 0.335099i | ||||
\(428\) | −7.23942e11 | −1.04281 | ||||||||
\(429\) | 8.99228e11 | 1.28178 | ||||||||
\(430\) | 1.80251e11 | + | 1.40715e12i | 0.254255 | + | 1.98487i | ||||
\(431\) | −7.31341e10 | −0.102087 | −0.0510437 | − | 0.998696i | \(-0.516255\pi\) | ||||
−0.0510437 | + | 0.998696i | \(0.516255\pi\) | |||||||
\(432\) | −2.25776e11 | −0.311889 | ||||||||
\(433\) | 1.05912e9 | − | 1.83445e9i | 0.00144794 | − | 0.00250790i | −0.865301 | − | 0.501253i | \(-0.832872\pi\) |
0.866748 | + | 0.498746i | \(0.166206\pi\) | |||||||
\(434\) | −1.68068e12 | −2.27395 | ||||||||
\(435\) | −7.28702e11 | + | 1.26215e12i | −0.975771 | + | 1.69009i | ||||
\(436\) | 1.49099e11 | − | 2.58248e11i | 0.197600 | − | 0.342253i | ||||
\(437\) | 5.32452e11 | + | 9.22235e11i | 0.698416 | + | 1.20969i | ||||
\(438\) | −6.48050e11 | −0.841347 | ||||||||
\(439\) | 2.99450e11 | + | 5.18662e11i | 0.384798 | + | 0.666490i | 0.991741 | − | 0.128255i | \(-0.0409376\pi\) |
−0.606943 | + | 0.794746i | \(0.707604\pi\) | |||||||
\(440\) | −5.04557e11 | + | 8.73918e11i | −0.641761 | + | 1.11156i | ||||
\(441\) | 2.12167e12 | 2.67119 | ||||||||
\(442\) | −3.50115e11 | + | 6.06416e11i | −0.436325 | + | 0.755737i | ||||
\(443\) | −4.74283e10 | − | 8.21483e10i | −0.0585088 | − | 0.101340i | 0.835287 | − | 0.549814i | \(-0.185301\pi\) |
−0.893796 | + | 0.448473i | \(0.851968\pi\) | |||||||
\(444\) | −1.64366e12 | − | 2.84690e12i | −2.00719 | − | 3.47655i | ||||
\(445\) | −4.52198e11 | − | 7.83230e11i | −0.546649 | − | 0.946824i | ||||
\(446\) | −7.99105e11 | −0.956306 | ||||||||
\(447\) | −1.09257e12 | − | 1.89239e12i | −1.29439 | − | 2.24195i | ||||
\(448\) | −1.01418e12 | − | 1.75662e12i | −1.18950 | − | 2.06028i | ||||
\(449\) | −4.72711e11 | + | 8.18760e11i | −0.548893 | + | 0.950710i | 0.449458 | + | 0.893301i | \(0.351617\pi\) |
−0.998351 | + | 0.0574084i | \(0.981716\pi\) | |||||||
\(450\) | 9.28692e11 | − | 1.60854e12i | 1.06762 | − | 1.84917i | ||||
\(451\) | −1.09102e12 | −1.24176 | ||||||||
\(452\) | −1.31817e12 | −1.48541 | ||||||||
\(453\) | 7.42670e10 | − | 1.28634e11i | 0.0828617 | − | 0.143521i | ||||
\(454\) | 2.08397e11 | − | 3.60953e11i | 0.230218 | − | 0.398749i | ||||
\(455\) | −5.09426e11 | − | 8.82351e11i | −0.557224 | − | 0.965140i | ||||
\(456\) | 6.67383e11 | + | 1.15594e12i | 0.722826 | + | 1.25197i | ||||
\(457\) | −6.78564e10 | −0.0727726 | −0.0363863 | − | 0.999338i | \(-0.511585\pi\) | ||||
−0.0363863 | + | 0.999338i | \(0.511585\pi\) | |||||||
\(458\) | 2.93775e11 | + | 5.08833e11i | 0.311975 | + | 0.540357i | ||||
\(459\) | −1.06498e12 | − | 1.84460e12i | −1.11991 | − | 1.93975i | ||||
\(460\) | 1.49189e12 | + | 2.58403e12i | 1.55355 | + | 2.69083i | ||||
\(461\) | −4.13168e11 | + | 7.15628e11i | −0.426062 | + | 0.737961i | −0.996519 | − | 0.0833665i | \(-0.973433\pi\) |
0.570457 | + | 0.821327i | \(0.306766\pi\) | |||||||
\(462\) | −4.79667e12 | −4.89836 | ||||||||
\(463\) | 2.71050e11 | − | 4.69472e11i | 0.274116 | − | 0.474783i | −0.695796 | − | 0.718240i | \(-0.744948\pi\) |
0.969912 | + | 0.243457i | \(0.0782814\pi\) | |||||||
\(464\) | 5.27724e10 | + | 9.14044e10i | 0.0528537 | + | 0.0915453i | ||||
\(465\) | −2.25325e12 | −2.23497 | ||||||||
\(466\) | 1.42294e12 | + | 2.46460e12i | 1.39781 | + | 2.42108i | ||||
\(467\) | 3.03472e11 | − | 5.25629e11i | 0.295252 | − | 0.511391i | −0.679792 | − | 0.733405i | \(-0.737930\pi\) |
0.975043 | + | 0.222014i | \(0.0712632\pi\) | |||||||
\(468\) | 1.17149e12 | − | 2.02909e12i | 1.12884 | − | 1.95522i | ||||
\(469\) | 4.13622e11 | 0.394754 | ||||||||
\(470\) | −7.26992e11 | + | 1.25919e12i | −0.687209 | + | 1.19028i | ||||
\(471\) | −1.55773e11 | −0.145847 | ||||||||
\(472\) | 2.33283e11 | 0.216343 | ||||||||
\(473\) | 9.90107e11 | − | 7.54250e11i | 0.909509 | − | 0.692851i | ||||
\(474\) | −3.65682e11 | −0.332737 | ||||||||
\(475\) | 5.48697e11 | 0.494551 | ||||||||
\(476\) | 1.13834e12 | − | 1.97167e12i | 1.01635 | − | 1.76036i | ||||
\(477\) | 3.69637e12 | 3.26921 | ||||||||
\(478\) | 4.38439e11 | − | 7.59398e11i | 0.384135 | − | 0.665341i | ||||
\(479\) | 3.77176e11 | − | 6.53288e11i | 0.327367 | − | 0.567016i | −0.654622 | − | 0.755957i | \(-0.727172\pi\) |
0.981988 | + | 0.188941i | \(0.0605054\pi\) | |||||||
\(480\) | −1.46333e12 | − | 2.53456e12i | −1.25822 | − | 2.17930i | ||||
\(481\) | −1.00508e12 | −0.856147 | ||||||||
\(482\) | 1.24252e11 | + | 2.15211e11i | 0.104856 | + | 0.181615i | ||||
\(483\) | −2.54855e12 | + | 4.41422e12i | −2.13074 | + | 3.69055i | ||||
\(484\) | 5.79026e11 | 0.479616 | ||||||||
\(485\) | 2.25921e11 | − | 3.91307e11i | 0.185404 | − | 0.321129i | ||||
\(486\) | 1.57096e12 | + | 2.72098e12i | 1.27732 | + | 2.21239i | ||||
\(487\) | −4.45830e11 | − | 7.72200e11i | −0.359161 | − | 0.622085i | 0.628660 | − | 0.777680i | \(-0.283604\pi\) |
−0.987821 | + | 0.155596i | \(0.950270\pi\) | |||||||
\(488\) | 1.49158e11 | + | 2.58350e11i | 0.119058 | + | 0.206214i | ||||
\(489\) | 2.25676e12 | 1.78482 | ||||||||
\(490\) | 1.44060e12 | + | 2.49519e12i | 1.12891 | + | 1.95533i | ||||
\(491\) | 5.99269e10 | + | 1.03796e11i | 0.0465323 | + | 0.0805964i | 0.888353 | − | 0.459160i | \(-0.151850\pi\) |
−0.841821 | + | 0.539757i | \(0.818516\pi\) | |||||||
\(492\) | −2.02173e12 | + | 3.50174e12i | −1.55553 | + | 2.69427i | ||||
\(493\) | −4.97853e11 | + | 8.62307e11i | −0.379569 | + | 0.657432i | ||||
\(494\) | 1.13555e12 | 0.857900 | ||||||||
\(495\) | −4.52110e12 | −3.38470 | ||||||||
\(496\) | −8.15899e10 | + | 1.41318e11i | −0.0605298 | + | 0.104841i | ||||
\(497\) | −6.13566e11 | + | 1.06273e12i | −0.451084 | + | 0.781301i | ||||
\(498\) | −3.53273e12 | − | 6.11887e12i | −2.57382 | − | 4.45799i | ||||
\(499\) | −4.68827e11 | − | 8.12033e11i | −0.338501 | − | 0.586302i | 0.645650 | − | 0.763634i | \(-0.276587\pi\) |
−0.984151 | + | 0.177332i | \(0.943253\pi\) | |||||||
\(500\) | −1.19049e12 | −0.851844 | ||||||||
\(501\) | 8.39255e11 | + | 1.45363e12i | 0.595147 | + | 1.03083i | ||||
\(502\) | 1.85261e12 | + | 3.20881e12i | 1.30202 | + | 2.25516i | ||||
\(503\) | 4.60404e11 | + | 7.97443e11i | 0.320688 | + | 0.555448i | 0.980630 | − | 0.195868i | \(-0.0627525\pi\) |
−0.659942 | + | 0.751317i | \(0.729419\pi\) | |||||||
\(504\) | −2.24578e12 | + | 3.88980e12i | −1.55035 | + | 2.68528i | ||||
\(505\) | −2.01494e12 | −1.37864 | ||||||||
\(506\) | 2.14746e12 | − | 3.71951e12i | 1.45629 | − | 2.52237i | ||||
\(507\) | 8.55602e11 | + | 1.48195e12i | 0.575090 | + | 0.996085i | ||||
\(508\) | 2.11821e12 | 1.41118 | ||||||||
\(509\) | −4.76516e11 | − | 8.25351e11i | −0.314665 | − | 0.545015i | 0.664702 | − | 0.747109i | \(-0.268559\pi\) |
−0.979366 | + | 0.202094i | \(0.935225\pi\) | |||||||
\(510\) | 2.50383e12 | − | 4.33676e12i | 1.63885 | − | 2.83857i | ||||
\(511\) | 3.22107e11 | − | 5.57906e11i | 0.208981 | − | 0.361965i | ||||
\(512\) | −3.85455e11 | −0.247890 | ||||||||
\(513\) | −1.72707e12 | + | 2.99137e12i | −1.10099 | + | 1.90696i | ||||
\(514\) | −3.68690e12 | −2.32985 | ||||||||
\(515\) | −1.79553e12 | −1.12476 | ||||||||
\(516\) | −5.86110e11 | − | 4.57553e12i | −0.363961 | − | 2.84130i | ||||
\(517\) | 1.27568e12 | 0.785295 | ||||||||
\(518\) | 5.36131e12 | 3.27180 | ||||||||
\(519\) | 2.00718e12 | − | 3.47653e12i | 1.21432 | − | 2.10326i | ||||
\(520\) | 1.14346e12 | 0.685814 | ||||||||
\(521\) | 3.85457e11 | − | 6.67630e11i | 0.229195 | − | 0.396978i | −0.728375 | − | 0.685179i | \(-0.759724\pi\) |
0.957570 | + | 0.288201i | \(0.0930572\pi\) | |||||||
\(522\) | 2.73299e12 | − | 4.73368e12i | 1.61110 | − | 2.79050i | ||||
\(523\) | −8.87213e11 | − | 1.53670e12i | −0.518526 | − | 0.898113i | −0.999768 | − | 0.0215255i | \(-0.993148\pi\) |
0.481243 | − | 0.876587i | \(-0.340186\pi\) | |||||||
\(524\) | −3.83392e12 | −2.22153 | ||||||||
\(525\) | 1.31315e12 | + | 2.27444e12i | 0.754393 | + | 1.30665i | ||||
\(526\) | 9.84255e11 | − | 1.70478e12i | 0.560624 | − | 0.971029i | ||||
\(527\) | −1.53943e12 | −0.869388 | ||||||||
\(528\) | −2.32858e11 | + | 4.03322e11i | −0.130388 | + | 0.225839i | ||||
\(529\) | −1.38139e12 | − | 2.39263e12i | −0.766946 | − | 1.32839i | ||||
\(530\) | 2.50980e12 | + | 4.34710e12i | 1.38165 | + | 2.39309i | ||||
\(531\) | 5.22584e11 | + | 9.05142e11i | 0.285253 | + | 0.494073i | ||||
\(532\) | −3.69207e12 | −1.99833 | ||||||||
\(533\) | 6.18134e11 | + | 1.07064e12i | 0.331749 | + | 0.574607i | ||||
\(534\) | 2.41234e12 | + | 4.17829e12i | 1.28382 | + | 2.22363i | ||||
\(535\) | 7.91460e11 | − | 1.37085e12i | 0.417673 | − | 0.723431i | ||||
\(536\) | −2.32105e11 | + | 4.02018e11i | −0.121463 | + | 0.210380i | ||||
\(537\) | 3.19847e12 | 1.65981 | ||||||||
\(538\) | −2.50493e12 | −1.28907 | ||||||||
\(539\) | 1.26393e12 | − | 2.18919e12i | 0.645021 | − | 1.11721i | ||||
\(540\) | −4.83911e12 | + | 8.38159e12i | −2.44903 | + | 4.24184i | ||||
\(541\) | 1.06619e12 | + | 1.84669e12i | 0.535113 | + | 0.926844i | 0.999158 | + | 0.0410318i | \(0.0130645\pi\) |
−0.464044 | + | 0.885812i | \(0.653602\pi\) | |||||||
\(542\) | 1.81700e12 | + | 3.14713e12i | 0.904393 | + | 1.56645i | ||||
\(543\) | −3.99476e12 | −1.97193 | ||||||||
\(544\) | −9.99757e11 | − | 1.73163e12i | −0.489440 | − | 0.847735i | ||||
\(545\) | 3.26010e11 | + | 5.64666e11i | 0.158287 | + | 0.274162i | ||||
\(546\) | 2.71763e12 | + | 4.70707e12i | 1.30865 | + | 2.26665i | ||||
\(547\) | 1.39261e12 | − | 2.41208e12i | 0.665102 | − | 1.15199i | −0.314156 | − | 0.949371i | \(-0.601722\pi\) |
0.979258 | − | 0.202619i | \(-0.0649451\pi\) | |||||||
\(548\) | 3.08490e12 | 1.46126 | ||||||||
\(549\) | −6.68269e11 | + | 1.15748e12i | −0.313961 | + | 0.543797i | ||||
\(550\) | −1.10649e12 | − | 1.91649e12i | −0.515602 | − | 0.893049i | ||||
\(551\) | 1.61473e12 | 0.746306 | ||||||||
\(552\) | −2.86025e12 | − | 4.95409e12i | −1.31123 | − | 2.27111i | ||||
\(553\) | 1.81759e11 | − | 3.14816e11i | 0.0826482 | − | 0.143151i | ||||
\(554\) | −3.05055e11 | + | 5.28371e11i | −0.137589 | + | 0.238311i | ||||
\(555\) | 7.18780e12 | 3.21572 | ||||||||
\(556\) | 2.03858e12 | − | 3.53093e12i | 0.904673 | − | 1.56694i | ||||
\(557\) | 3.67332e10 | 0.0161700 | 0.00808501 | − | 0.999967i | \(-0.497426\pi\) | ||||
0.00808501 | + | 0.999967i | \(0.497426\pi\) | |||||||
\(558\) | 8.45082e12 | 3.69016 | ||||||||
\(559\) | −1.30112e12 | − | 5.44281e11i | −0.563593 | − | 0.235760i | ||||
\(560\) | 5.27670e11 | 0.226734 | ||||||||
\(561\) | −4.39356e12 | −1.87277 | ||||||||
\(562\) | −2.79936e12 | + | 4.84863e12i | −1.18371 | + | 2.05024i | ||||
\(563\) | 7.71539e11 | 0.323646 | 0.161823 | − | 0.986820i | \(-0.448263\pi\) | ||||
0.161823 | + | 0.986820i | \(0.448263\pi\) | |||||||
\(564\) | 2.36391e12 | − | 4.09442e12i | 0.983729 | − | 1.70387i | ||||
\(565\) | 1.44110e12 | − | 2.49606e12i | 0.594945 | − | 1.03047i | ||||
\(566\) | −2.52680e12 | − | 4.37654e12i | −1.03490 | − | 1.79249i | ||||
\(567\) | −8.03298e12 | −3.26402 | ||||||||
\(568\) | −6.88608e11 | − | 1.19270e12i | −0.277590 | − | 0.480800i | ||||
\(569\) | 5.11572e11 | − | 8.86069e11i | 0.204598 | − | 0.354374i | −0.745407 | − | 0.666610i | \(-0.767745\pi\) |
0.950005 | + | 0.312236i | \(0.101078\pi\) | |||||||
\(570\) | −8.12088e12 | −3.22230 | ||||||||
\(571\) | 6.26032e11 | − | 1.08432e12i | 0.246453 | − | 0.426869i | −0.716086 | − | 0.698012i | \(-0.754068\pi\) |
0.962539 | + | 0.271143i | \(0.0874016\pi\) | |||||||
\(572\) | −1.39577e12 | − | 2.41755e12i | −0.545171 | − | 0.944264i | ||||
\(573\) | −3.24357e12 | − | 5.61803e12i | −1.25698 | − | 2.17715i | ||||
\(574\) | −3.29725e12 | − | 5.71101e12i | −1.26779 | − | 2.19588i | ||||
\(575\) | −2.35158e12 | −0.897129 | ||||||||
\(576\) | 5.09954e12 | + | 8.83267e12i | 1.93032 | + | 3.34342i | ||||
\(577\) | −8.75701e11 | − | 1.51676e12i | −0.328901 | − | 0.569673i | 0.653393 | − | 0.757019i | \(-0.273345\pi\) |
−0.982294 | + | 0.187346i | \(0.940011\pi\) | |||||||
\(578\) | −4.36454e11 | + | 7.55961e11i | −0.162653 | + | 0.281724i | ||||
\(579\) | −3.94919e12 | + | 6.84019e12i | −1.46034 | + | 2.52938i | ||||
\(580\) | 4.52434e12 | 1.66008 | ||||||||
\(581\) | 7.02365e12 | 2.55723 | ||||||||
\(582\) | −1.20522e12 | + | 2.08750e12i | −0.435425 | + | 0.754178i | ||||
\(583\) | 2.20202e12 | − | 3.81400e12i | 0.789427 | − | 1.36733i | ||||
\(584\) | 3.61502e11 | + | 6.26140e11i | 0.128604 | + | 0.222748i | ||||
\(585\) | 2.56150e12 | + | 4.43666e12i | 0.904261 | + | 1.56623i | ||||
\(586\) | 3.26617e12 | 1.14419 | ||||||||
\(587\) | 1.81890e12 | + | 3.15043e12i | 0.632321 | + | 1.09521i | 0.987076 | + | 0.160253i | \(0.0512309\pi\) |
−0.354755 | + | 0.934959i | \(0.615436\pi\) | |||||||
\(588\) | −4.68429e12 | − | 8.11344e12i | −1.61602 | − | 2.79903i | ||||
\(589\) | 1.24824e12 | + | 2.16202e12i | 0.427347 | + | 0.740186i | ||||
\(590\) | −7.09659e11 | + | 1.22917e12i | −0.241110 | + | 0.417615i | ||||
\(591\) | −5.93330e12 | −2.00057 | ||||||||
\(592\) | 2.60269e11 | − | 4.50800e11i | 0.0870914 | − | 0.150847i | ||||
\(593\) | −2.36851e12 | − | 4.10239e12i | −0.786557 | − | 1.36236i | −0.928065 | − | 0.372419i | \(-0.878528\pi\) |
0.141508 | − | 0.989937i | \(-0.454805\pi\) | |||||||
\(594\) | 1.39311e13 | 4.59140 | ||||||||
\(595\) | 2.48901e12 | + | 4.31110e12i | 0.814144 | + | 1.41014i | ||||
\(596\) | −3.39175e12 | + | 5.87469e12i | −1.10107 | + | 1.90711i | ||||
\(597\) | −8.73658e10 | + | 1.51322e11i | −0.0281486 | + | 0.0487548i | ||||
\(598\) | −4.86671e12 | −1.55625 | ||||||||
\(599\) | −1.42607e12 | + | 2.47002e12i | −0.452605 | + | 0.783935i | −0.998547 | − | 0.0538881i | \(-0.982839\pi\) |
0.545942 | + | 0.837823i | \(0.316172\pi\) | |||||||
\(600\) | −2.94751e12 | −0.928483 | ||||||||
\(601\) | 7.60216e11 | 0.237685 | 0.118842 | − | 0.992913i | \(-0.462082\pi\) | ||||
0.118842 | + | 0.992913i | \(0.462082\pi\) | |||||||
\(602\) | 6.94046e12 | + | 2.90331e12i | 2.15379 | + | 0.900967i | ||||
\(603\) | −2.07978e12 | −0.640605 | ||||||||
\(604\) | −4.61106e11 | −0.140973 | ||||||||
\(605\) | −6.33027e11 | + | 1.09644e12i | −0.192098 | + | 0.332724i | ||||
\(606\) | 1.07491e13 | 3.23776 | ||||||||
\(607\) | −1.61748e12 | + | 2.80156e12i | −0.483604 | + | 0.837627i | −0.999823 | − | 0.0188299i | \(-0.994006\pi\) |
0.516218 | + | 0.856457i | \(0.327339\pi\) | |||||||
\(608\) | −1.62129e12 | + | 2.80817e12i | −0.481167 | + | 0.833406i | ||||
\(609\) | 3.86439e12 | + | 6.69332e12i | 1.13842 | + | 1.97181i | ||||
\(610\) | −1.81499e12 | −0.530751 | ||||||||
\(611\) | −7.22755e11 | − | 1.25185e12i | −0.209800 | − | 0.363385i | ||||
\(612\) | −5.72383e12 | + | 9.91397e12i | −1.64932 | + | 2.85671i | ||||
\(613\) | −6.93608e12 | −1.98400 | −0.992001 | − | 0.126229i | \(-0.959712\pi\) | ||||
−0.992001 | + | 0.126229i | \(0.959712\pi\) | |||||||
\(614\) | −2.05437e12 | + | 3.55827e12i | −0.583338 | + | 1.01037i | ||||
\(615\) | −4.42056e12 | − | 7.65664e12i | −1.24606 | − | 2.15824i | ||||
\(616\) | 2.67573e12 | + | 4.63450e12i | 0.748736 | + | 1.29685i | ||||
\(617\) | 1.01335e12 | + | 1.75518e12i | 0.281499 | + | 0.487571i | 0.971754 | − | 0.235995i | \(-0.0758350\pi\) |
−0.690255 | + | 0.723566i | \(0.742502\pi\) | |||||||
\(618\) | 9.57859e12 | 2.64152 | ||||||||
\(619\) | −2.54119e12 | − | 4.40146e12i | −0.695711 | − | 1.20501i | −0.969941 | − | 0.243342i | \(-0.921756\pi\) |
0.274230 | − | 0.961664i | \(-0.411577\pi\) | |||||||
\(620\) | 3.49748e12 | + | 6.05781e12i | 0.950588 | + | 1.64647i | ||||
\(621\) | 7.40180e12 | − | 1.28203e13i | 1.99722 | − | 3.45928i | ||||
\(622\) | 5.23418e12 | − | 9.06586e12i | 1.40214 | − | 2.42858i | ||||
\(623\) | −4.79612e12 | −1.27554 | ||||||||
\(624\) | 5.27718e11 | 0.139339 | ||||||||
\(625\) | 2.37647e12 | − | 4.11617e12i | 0.622978 | − | 1.07903i | ||||
\(626\) | −4.38012e11 | + | 7.58660e11i | −0.113999 | + | 0.197452i | ||||
\(627\) | 3.56249e12 | + | 6.17042e12i | 0.920556 | + | 1.59445i | ||||
\(628\) | 2.41789e11 | + | 4.18791e11i | 0.0620323 | + | 0.107443i | ||||
\(629\) | 4.91075e12 | 1.25089 | ||||||||
\(630\) | −1.36636e13 | − | 2.36660e13i | −3.45567 | − | 5.98539i | ||||
\(631\) | 3.10606e12 | + | 5.37985e12i | 0.779969 | + | 1.35095i | 0.931959 | + | 0.362564i | \(0.118099\pi\) |
−0.151990 | + | 0.988382i | \(0.548568\pi\) | |||||||
\(632\) | 2.03989e11 | + | 3.53319e11i | 0.0508604 | + | 0.0880928i | ||||
\(633\) | 3.98182e12 | − | 6.89672e12i | 0.985747 | − | 1.70736i | ||||
\(634\) | −6.86760e12 | −1.68812 | ||||||||
\(635\) | −2.31576e12 | + | 4.01101e12i | −0.565212 | + | 0.978977i | ||||
\(636\) | −8.16096e12 | − | 1.41352e13i | −1.97781 | − | 3.42567i | ||||
\(637\) | −2.86440e12 | −0.689297 | ||||||||
\(638\) | −3.25622e12 | − | 5.63993e12i | −0.778073 | − | 1.34766i | ||||
\(639\) | 3.08515e12 | − | 5.34363e12i | 0.732018 | − | 1.26789i | ||||
\(640\) | −4.01492e12 | + | 6.95405e12i | −0.945948 | + | 1.63843i | ||||
\(641\) | −7.76803e11 | −0.181740 | −0.0908699 | − | 0.995863i | \(-0.528965\pi\) | ||||
−0.0908699 | + | 0.995863i | \(0.528965\pi\) | |||||||
\(642\) | −4.22219e12 | + | 7.31305e12i | −0.980913 | + | 1.69899i | ||||
\(643\) | 6.64396e12 | 1.53277 | 0.766386 | − | 0.642381i | \(-0.222053\pi\) | ||||
0.766386 | + | 0.642381i | \(0.222053\pi\) | |||||||
\(644\) | 1.58233e13 | 3.62503 | ||||||||
\(645\) | 9.30493e12 | + | 3.89241e12i | 2.11687 | + | 0.885522i | ||||
\(646\) | −5.54823e12 | −1.25345 | ||||||||
\(647\) | −4.77308e12 | −1.07085 | −0.535426 | − | 0.844582i | \(-0.679849\pi\) | ||||
−0.535426 | + | 0.844582i | \(0.679849\pi\) | |||||||
\(648\) | 4.50772e12 | − | 7.80760e12i | 1.00431 | − | 1.73952i | ||||
\(649\) | 1.24526e12 | 0.275524 | ||||||||
\(650\) | −1.25380e12 | + | 2.17164e12i | −0.275497 | + | 0.477175i | ||||
\(651\) | −5.97463e12 | + | 1.03484e13i | −1.30376 | + | 2.25817i | ||||
\(652\) | −3.50292e12 | − | 6.06724e12i | −0.759131 | − | 1.31485i | ||||
\(653\) | −2.43831e10 | −0.00524783 | −0.00262391 | − | 0.999997i | \(-0.500835\pi\) | ||||
−0.00262391 | + | 0.999997i | \(0.500835\pi\) | |||||||
\(654\) | −1.73916e12 | − | 3.01232e12i | −0.371741 | − | 0.643874i | ||||
\(655\) | 4.19148e12 | − | 7.25986e12i | 0.889778 | − | 1.54114i | ||||
\(656\) | −6.40272e11 | −0.134989 | ||||||||
\(657\) | −1.61963e12 | + | 2.80527e12i | −0.339133 | + | 0.587396i | ||||
\(658\) | 3.85532e12 | + | 6.67762e12i | 0.801760 | + | 1.38869i | ||||
\(659\) | −4.52471e11 | − | 7.83702e11i | −0.0934558 | − | 0.161870i | 0.815507 | − | 0.578747i | \(-0.196458\pi\) |
−0.908963 | + | 0.416877i | \(0.863125\pi\) | |||||||
\(660\) | 9.98182e12 | + | 1.72890e13i | 2.04768 | + | 3.54669i | ||||
\(661\) | −7.82946e12 | −1.59524 | −0.797618 | − | 0.603163i | \(-0.793907\pi\) | ||||
−0.797618 | + | 0.603163i | \(0.793907\pi\) | |||||||
\(662\) | −4.91686e11 | − | 8.51625e11i | −0.0995008 | − | 0.172340i | ||||
\(663\) | 2.48924e12 | + | 4.31149e12i | 0.500330 | + | 0.866596i | ||||
\(664\) | −3.94133e12 | + | 6.82659e12i | −0.786841 | + | 1.36285i | ||||
\(665\) | 4.03641e12 | − | 6.99126e12i | 0.800383 | − | 1.38630i | ||||
\(666\) | −2.69578e13 | −5.30947 | ||||||||
\(667\) | −6.92033e12 | −1.35382 | ||||||||
\(668\) | 2.60537e12 | − | 4.51263e12i | 0.506262 | − | 0.876871i | ||||
\(669\) | −2.84073e12 | + | 4.92030e12i | −0.548294 | + | 0.949672i | ||||
\(670\) | −1.41215e12 | − | 2.44592e12i | −0.270736 | − | 0.468928i | ||||
\(671\) | 7.96208e11 | + | 1.37907e12i | 0.151626 | + | 0.262625i | ||||
\(672\) | −1.55204e13 | −2.93591 | ||||||||
\(673\) | 2.15186e12 | + | 3.72714e12i | 0.404340 | + | 0.700338i | 0.994244 | − | 0.107135i | \(-0.0341678\pi\) |
−0.589904 | + | 0.807473i | \(0.700834\pi\) | |||||||
\(674\) | −8.12426e11 | − | 1.40716e12i | −0.151640 | − | 0.262648i | ||||
\(675\) | −3.81381e12 | − | 6.60571e12i | −0.707118 | − | 1.22476i | ||||
\(676\) | 2.65612e12 | − | 4.60053e12i | 0.489200 | − | 0.847320i | ||||
\(677\) | 8.79337e12 | 1.60882 | 0.804408 | − | 0.594077i | \(-0.202483\pi\) | ||||
0.804408 | + | 0.594077i | \(0.202483\pi\) | |||||||
\(678\) | −7.68783e12 | + | 1.33157e13i | −1.39724 | + | 2.42009i | ||||
\(679\) | −1.19809e12 | − | 2.07515e12i | −0.216309 | − | 0.374658i | ||||
\(680\) | −5.58686e12 | −1.00202 | ||||||||
\(681\) | −1.48166e12 | − | 2.56630e12i | −0.263989 | − | 0.457242i | ||||
\(682\) | 5.03435e12 | − | 8.71975e12i | 0.891074 | − | 1.54339i | ||||
\(683\) | −1.67760e12 | + | 2.90569e12i | −0.294982 | + | 0.510924i | −0.974981 | − | 0.222289i | \(-0.928647\pi\) |
0.679998 | + | 0.733214i | \(0.261980\pi\) | |||||||
\(684\) | 1.85646e13 | 3.24289 | ||||||||
\(685\) | −3.37260e12 | + | 5.84152e12i | −0.585272 | + | 1.01372i | ||||
\(686\) | 1.73742e12 | 0.299534 | ||||||||
\(687\) | 4.17736e12 | 0.715478 | ||||||||
\(688\) | 5.81052e11 | − | 4.42637e11i | 0.0988705 | − | 0.0753182i | ||||
\(689\) | −4.99035e12 | −0.843616 | ||||||||
\(690\) | 3.48041e13 | 5.84534 | ||||||||
\(691\) | 3.16898e12 | − | 5.48883e12i | 0.528771 | − | 0.915859i | −0.470666 | − | 0.882312i | \(-0.655986\pi\) |
0.999437 | − | 0.0335471i | \(-0.0106804\pi\) | |||||||
\(692\) | −1.24621e13 | −2.06592 | ||||||||
\(693\) | −1.19880e13 | + | 2.07638e13i | −1.97445 | + | 3.41985i | ||||
\(694\) | −9.15501e12 | + | 1.58569e13i | −1.49810 | + | 2.59479i | ||||
\(695\) | 4.45741e12 | + | 7.72047e12i | 0.724688 | + | 1.25520i | ||||
\(696\) | −8.67404e12 | −1.40113 | ||||||||
\(697\) | −3.02015e12 | − | 5.23106e12i | −0.484709 | − | 0.839541i | ||||
\(698\) | −7.81225e12 | + | 1.35312e13i | −1.24574 | + | 2.15768i | ||||
\(699\) | 2.02336e13 | 3.20572 | ||||||||
\(700\) | 4.07652e12 | − | 7.06074e12i | 0.641724 | − | 1.11150i | ||||
\(701\) | −3.72645e11 | − | 6.45441e11i | −0.0582860 | − | 0.100954i | 0.835410 | − | 0.549627i | \(-0.185230\pi\) |
−0.893696 | + | 0.448673i | \(0.851897\pi\) | |||||||
\(702\) | −7.89287e12 | − | 1.36708e13i | −1.22664 | − | 2.12461i | ||||
\(703\) | −3.98185e12 | − | 6.89677e12i | −0.614874 | − | 1.06499i | ||||
\(704\) | 1.21517e13 | 1.86449 | ||||||||
\(705\) | 5.16876e12 | + | 8.95255e12i | 0.788016 | + | 1.36488i | ||||
\(706\) | −2.36570e11 | − | 4.09750e11i | −0.0358375 | − | 0.0620724i | ||||
\(707\) | −5.34273e12 | + | 9.25388e12i | −0.804222 | + | 1.39295i | ||||
\(708\) | 2.30755e12 | − | 3.99680e12i | 0.345146 | − | 0.597810i | ||||
\(709\) | −6.88262e12 | −1.02293 | −0.511465 | − | 0.859304i | \(-0.670897\pi\) | ||||
−0.511465 | + | 0.859304i | \(0.670897\pi\) | |||||||
\(710\) | 8.37914e12 | 1.23748 | ||||||||
\(711\) | −9.13925e11 | + | 1.58296e12i | −0.134121 | + | 0.232305i | ||||
\(712\) | 2.69135e12 | − | 4.66156e12i | 0.392474 | − | 0.679785i | ||||
\(713\) | −5.34967e12 | − | 9.26590e12i | −0.775218 | − | 1.34272i | ||||
\(714\) | −1.32781e13 | − | 2.29984e13i | −1.91203 | − | 3.31173i | ||||
\(715\) | 6.10379e12 | 0.873419 | ||||||||
\(716\) | −4.96464e12 | − | 8.59901e12i | −0.705959 | − | 1.22276i | ||||
\(717\) | −3.11721e12 | − | 5.39916e12i | −0.440483 | − | 0.762940i | ||||
\(718\) | −4.04358e12 | − | 7.00369e12i | −0.567815 | − | 0.983484i | ||||
\(719\) | 2.89174e12 | − | 5.00864e12i | 0.403533 | − | 0.698940i | −0.590616 | − | 0.806953i | \(-0.701115\pi\) |
0.994150 | + | 0.108012i | \(0.0344486\pi\) | |||||||
\(720\) | −2.65324e12 | −0.367943 | ||||||||
\(721\) | −4.76095e12 | + | 8.24621e12i | −0.656123 | + | 1.13644i | ||||
\(722\) | −1.34365e12 | − | 2.32727e12i | −0.184022 | − | 0.318735i | ||||
\(723\) | 1.76681e12 | 0.240474 | ||||||||
\(724\) | 6.20064e12 | + | 1.07398e13i | 0.838712 | + | 1.45269i | ||||
\(725\) | −1.78286e12 | + | 3.08801e12i | −0.239661 | + | 0.415105i | ||||
\(726\) | 3.37701e12 | − | 5.84915e12i | 0.451146 | − | 0.781408i | ||||
\(727\) | −8.60122e11 | −0.114197 | −0.0570986 | − | 0.998369i | \(-0.518185\pi\) | ||||
−0.0570986 | + | 0.998369i | \(0.518185\pi\) | |||||||
\(728\) | 3.03195e12 | − | 5.25150e12i | 0.400066 | − | 0.692934i | ||||
\(729\) | 5.27713e12 | 0.692028 | ||||||||
\(730\) | −4.39884e12 | −0.573305 | ||||||||
\(731\) | 6.35719e12 | + | 2.65932e12i | 0.823449 | + | 0.344462i | ||||
\(732\) | 5.90170e12 | 0.759762 | ||||||||
\(733\) | −1.12032e13 | −1.43342 | −0.716711 | − | 0.697370i | \(-0.754353\pi\) | ||||
−0.716711 | + | 0.697370i | \(0.754353\pi\) | |||||||
\(734\) | −3.52478e12 | + | 6.10510e12i | −0.448229 | + | 0.776355i | ||||
\(735\) | 2.04847e13 | 2.58902 | ||||||||
\(736\) | 6.94848e12 | − | 1.20351e13i | 0.872850 | − | 1.51182i | ||||
\(737\) | −1.23898e12 | + | 2.14597e12i | −0.154689 | + | 0.267929i | ||||
\(738\) | 1.65793e13 | + | 2.87162e13i | 2.05737 | + | 3.56347i | ||||
\(739\) | 1.40300e12 | 0.173044 | 0.0865220 | − | 0.996250i | \(-0.472425\pi\) | ||||
0.0865220 | + | 0.996250i | \(0.472425\pi\) | |||||||
\(740\) | −1.11568e13 | − | 1.93242e13i | −1.36772 | − | 2.36897i | ||||
\(741\) | 4.03678e12 | − | 6.99190e12i | 0.491873 | − | 0.851949i | ||||
\(742\) | 2.66196e13 | 3.22391 | ||||||||
\(743\) | 4.82559e12 | − | 8.35816e12i | 0.580899 | − | 1.00615i | −0.414474 | − | 0.910061i | \(-0.636035\pi\) |
0.995373 | − | 0.0960852i | \(-0.0306321\pi\) | |||||||
\(744\) | −6.70535e12 | − | 1.16140e13i | −0.802312 | − | 1.38965i | ||||
\(745\) | −7.41616e12 | − | 1.28452e13i | −0.882015 | − | 1.52769i | ||||
\(746\) | 7.01489e12 | + | 1.21502e13i | 0.829271 | + | 1.43634i | ||||
\(747\) | −3.53165e13 | −4.14987 | ||||||||
\(748\) | 6.81964e12 | + | 1.18120e13i | 0.796534 | + | 1.37964i | ||||
\(749\) | −4.19721e12 | − | 7.26977e12i | −0.487295 | − | 0.844020i | ||||
\(750\) | −6.94319e12 | + | 1.20260e13i | −0.801279 | + | 1.38786i | ||||
\(751\) | 1.29316e11 | − | 2.23981e11i | 0.0148345 | − | 0.0256940i | −0.858513 | − | 0.512792i | \(-0.828611\pi\) |
0.873347 | + | 0.487098i | \(0.161945\pi\) | |||||||
\(752\) | 7.48640e11 | 0.0853675 | ||||||||
\(753\) | 2.63433e13 | 2.98602 | ||||||||
\(754\) | −3.68973e12 | + | 6.39079e12i | −0.415741 | + | 0.720085i | ||||
\(755\) | 5.04111e11 | − | 8.73145e11i | 0.0564631 | − | 0.0977969i | ||||
\(756\) | 2.56624e13 | + | 4.44486e13i | 2.85726 | + | 4.94891i | ||||
\(757\) | 5.98929e12 | + | 1.03738e13i | 0.662894 | + | 1.14817i | 0.979852 | + | 0.199726i | \(0.0640052\pi\) |
−0.316958 | + | 0.948440i | \(0.602661\pi\) | |||||||
\(758\) | 8.48078e12 | 0.933092 | ||||||||
\(759\) | −1.52680e13 | − | 2.64449e13i | −1.66991 | − | 2.89237i | ||||
\(760\) | 4.53007e12 | + | 7.84632e12i | 0.492543 | + | 0.853109i | ||||
\(761\) | 8.30340e12 | + | 1.43819e13i | 0.897480 | + | 1.55448i | 0.830705 | + | 0.556713i | \(0.187938\pi\) |
0.0667750 | + | 0.997768i | \(0.478729\pi\) | |||||||
\(762\) | 1.23539e13 | − | 2.13975e13i | 1.32741 | − | 2.29914i | ||||
\(763\) | 3.45774e12 | 0.369345 | ||||||||
\(764\) | −1.00693e13 | + | 1.74405e13i | −1.06925 | + | 1.85199i | ||||
\(765\) | −1.25153e13 | − | 2.16771e13i | −1.32119 | − | 2.28837i | ||||
\(766\) | 2.17334e13 | 2.28086 | ||||||||
\(767\) | −7.05524e11 | − | 1.22200e12i | −0.0736093 | − | 0.127495i | ||||
\(768\) | 6.99305e12 | − | 1.21123e13i | 0.725339 | − | 1.25632i | ||||
\(769\) | −5.88021e12 | + | 1.01848e13i | −0.606351 | + | 1.05023i | 0.385485 | + | 0.922714i | \(0.374034\pi\) |
−0.991836 | + | 0.127517i | \(0.959299\pi\) | |||||||
\(770\) | −3.25589e13 | −3.33781 | ||||||||
\(771\) | −1.31066e13 | + | 2.27012e13i | −1.33581 | + | 2.31369i | ||||
\(772\) | 2.45196e13 | 2.48448 | ||||||||
\(773\) | 1.24542e13 | 1.25461 | 0.627306 | − | 0.778773i | \(-0.284157\pi\) | ||||
0.627306 | + | 0.778773i | \(0.284157\pi\) | |||||||
\(774\) | −3.48981e13 | − | 1.45985e13i | −3.49517 | − | 1.46209i | ||||
\(775\) | −5.51288e12 | −0.548935 | ||||||||
\(776\) | 2.68924e12 | 0.266226 | ||||||||
\(777\) | 1.90589e13 | − | 3.30110e13i | 1.87587 | − | 3.24910i | ||||
\(778\) | −8.83352e12 | −0.864421 | ||||||||
\(779\) | −4.89775e12 | + | 8.48315e12i | −0.476517 | + | 0.825351i | ||||
\(780\) | 1.13107e13 | − | 1.95908e13i | 1.09412 | − | 1.89507i | ||||
\(781\) | −3.67579e12 | − | 6.36665e12i | −0.353525 | − | 0.612324i | ||||
\(782\) | 2.37784e13 | 2.27380 | ||||||||
\(783\) | −1.12234e13 | − | 1.94396e13i | −1.06708 | − | 1.84824i | ||||
\(784\) | 7.41747e11 | − | 1.28474e12i | 0.0701186 | − | 0.121449i | ||||
\(785\) | −1.05736e12 | −0.0993820 | ||||||||
\(786\) | −2.23603e13 | + | 3.87291e13i | −2.08966 | + | 3.61940i | ||||
\(787\) | −1.09327e12 | − | 1.89361e12i | −0.101588 | − | 0.175956i | 0.810751 | − | 0.585391i | \(-0.199059\pi\) |
−0.912339 | + | 0.409435i | \(0.865726\pi\) | |||||||
\(788\) | 9.20962e12 | + | 1.59515e13i | 0.850891 | + | 1.47379i | ||||
\(789\) | −6.99784e12 | − | 1.21206e13i | −0.642862 | − | 1.11347i | ||||
\(790\) | −2.48218e12 | −0.226732 | ||||||||
\(791\) | −7.64234e12 | − | 1.32369e13i | −0.694116 | − | 1.20224i | ||||
\(792\) | −1.34541e13 | − | 2.33033e13i | −1.21505 | − | 2.10452i | ||||
\(793\) | 9.02209e11 | − | 1.56267e12i | 0.0810173 | − | 0.140326i | ||||
\(794\) | −4.06171e12 | + | 7.03508e12i | −0.362674 | + | 0.628169i | ||||
\(795\) | 3.56883e13 | 3.16865 | ||||||||
\(796\) | 5.42433e11 | 0.0478892 | ||||||||
\(797\) | −2.58900e12 | + | 4.48428e12i | −0.227284 | + | 0.393668i | −0.957002 | − | 0.290080i | \(-0.906318\pi\) |
0.729718 | + | 0.683748i | \(0.239651\pi\) | |||||||
\(798\) | −2.15330e13 | + | 3.72962e13i | −1.87971 | + | 3.25576i | ||||
\(799\) | 3.53133e12 | + | 6.11644e12i | 0.306533 | + | 0.530931i | ||||
\(800\) | −3.58023e12 | − | 6.20115e12i | −0.309034 | − | 0.535263i | ||||
\(801\) | 2.41160e13 | 2.06994 | ||||||||
\(802\) | −1.35931e13 | − | 2.35439e13i | −1.16020 | − | 2.00953i | ||||
\(803\) | 1.92970e12 | + | 3.34234e12i | 0.163783 | + | 0.283681i | ||||
\(804\) | 4.59181e12 | + | 7.95325e12i | 0.387554 | + | 0.671262i | ||||
\(805\) | −1.72991e13 | + | 2.99629e13i | −1.45192 | + | 2.51479i | ||||
\(806\) | −1.14092e13 | −0.952240 | ||||||||
\(807\) | −8.90478e12 | + | 1.54235e13i | −0.739081 | + | 1.28013i | ||||
\(808\) | −5.99617e12 | − | 1.03857e13i | −0.494906 | − | 0.857202i | ||||
\(809\) | −1.05813e13 | −0.868503 | −0.434251 | − | 0.900792i | \(-0.642987\pi\) | ||||
−0.434251 | + | 0.900792i | \(0.642987\pi\) | |||||||
\(810\) | 2.74255e13 | + | 4.75023e13i | 2.23857 | + | 3.87733i | ||||
\(811\) | −3.68179e12 | + | 6.37705e12i | −0.298858 | + | 0.517638i | −0.975875 | − | 0.218330i | \(-0.929939\pi\) |
0.677017 | + | 0.735968i | \(0.263272\pi\) | |||||||
\(812\) | 1.19966e13 | − | 2.07786e13i | 0.968399 | − | 1.67732i | ||||
\(813\) | 2.58369e13 | 2.07412 | ||||||||
\(814\) | −1.60594e13 | + | 2.78157e13i | −1.28209 | + | 2.22065i | ||||
\(815\) | 1.53185e13 | 1.21620 | ||||||||
\(816\) | −2.57839e12 | −0.203584 | ||||||||
\(817\) | −1.41988e12 | − | 1.10845e13i | −0.111495 | − | 0.870394i | ||||
\(818\) | 4.67598e12 | 0.365160 | ||||||||
\(819\) | 2.71679e13 | 2.10998 | ||||||||
\(820\) | −1.37231e13 | + | 2.37691e13i | −1.05996 | + | 1.83591i | ||||
\(821\) | −6.80507e12 | −0.522743 | −0.261372 | − | 0.965238i | \(-0.584175\pi\) | ||||
−0.261372 | + | 0.965238i | \(0.584175\pi\) | |||||||
\(822\) | 1.79918e13 | − | 3.11627e13i | 1.37452 | − | 2.38074i | ||||
\(823\) | −7.11307e12 | + | 1.23202e13i | −0.540453 | + | 0.936092i | 0.458425 | + | 0.888733i | \(0.348414\pi\) |
−0.998878 | + | 0.0473588i | \(0.984920\pi\) | |||||||
\(824\) | −5.34323e12 | − | 9.25475e12i | −0.403768 | − | 0.699346i | ||||
\(825\) | −1.57338e13 | −1.18247 | ||||||||
\(826\) | 3.76341e12 | + | 6.51841e12i | 0.281301 | + | 0.487227i | ||||
\(827\) | 6.56358e12 | − | 1.13685e13i | 0.487940 | − | 0.845136i | −0.511964 | − | 0.859007i | \(-0.671082\pi\) |
0.999904 | + | 0.0138706i | \(0.00441528\pi\) | |||||||
\(828\) | −7.95632e13 | −5.88269 | ||||||||
\(829\) | 5.84572e12 | − | 1.01251e13i | 0.429876 | − | 0.744567i | −0.566986 | − | 0.823727i | \(-0.691891\pi\) |
0.996862 | + | 0.0791608i | \(0.0252240\pi\) | |||||||
\(830\) | −2.39795e13 | − | 4.15338e13i | −1.75384 | − | 3.03774i | ||||
\(831\) | 2.16888e12 | + | 3.75660e12i | 0.157772 | + | 0.273269i | ||||
\(832\) | −6.88473e12 | − | 1.19247e13i | −0.498118 | − | 0.862765i | ||||
\(833\) | 1.39952e13 | 1.00711 | ||||||||
\(834\) | −2.37789e13 | − | 4.11863e13i | −1.70194 | − | 2.94785i | ||||
\(835\) | 5.69671e12 | + | 9.86699e12i | 0.405541 | + | 0.702418i | ||||
\(836\) | 1.10593e13 | − | 1.91553e13i | 0.783071 | − | 1.35632i | ||||
\(837\) | 1.73523e13 | − | 3.00550e13i | 1.22206 | − | 2.11666i | ||||
\(838\) | 1.45003e13 | 1.01573 | ||||||||
\(839\) | −2.04372e13 | −1.42394 | −0.711971 | − | 0.702208i | \(-0.752197\pi\) | ||||
−0.711971 | + | 0.702208i | \(0.752197\pi\) | |||||||
\(840\) | −2.16829e13 | + | 3.75559e13i | −1.50266 | + | 2.60268i | ||||
\(841\) | 2.00689e12 | − | 3.47603e12i | 0.138338 | − | 0.239608i | ||||
\(842\) | 1.74390e12 | + | 3.02053e12i | 0.119569 | + | 0.207099i | ||||
\(843\) | 1.99028e13 | + | 3.44727e13i | 1.35735 | + | 2.35099i | ||||
\(844\) | −2.47222e13 | −1.67705 | ||||||||
\(845\) | 5.80767e12 | + | 1.00592e13i | 0.391874 | + | 0.678746i | ||||
\(846\) | −1.93854e13 | − | 3.35765e13i | −1.30109 | − | 2.25356i | ||||
\(847\) | 3.35702e12 | + | 5.81453e12i | 0.224119 | + | 0.388185i | ||||
\(848\) | 1.29227e12 | − | 2.23827e12i | 0.0858166 | − | 0.148639i | ||||
\(849\) | −3.59300e13 | −2.37341 | ||||||||
\(850\) | 6.12596e12 | − | 1.06105e13i | 0.402521 | − | 0.697187i | ||||
\(851\) | 1.70653e13 | + | 2.95579e13i | 1.11540 | + | 1.93193i | ||||
\(852\) | −2.72459e13 | −1.77143 | ||||||||
\(853\) | 1.49316e13 | + | 2.58623e13i | 0.965686 | + | 1.67262i | 0.707759 | + | 0.706454i | \(0.249706\pi\) |
0.257927 | + | 0.966164i | \(0.416961\pi\) | |||||||
\(854\) | −4.81257e12 | + | 8.33561e12i | −0.309611 | + | 0.536262i | ||||
\(855\) | −2.02959e13 | + | 3.51536e13i | −1.29886 | + | 2.24969i | ||||
\(856\) | 9.42108e12 | 0.599748 | ||||||||
\(857\) | 1.26281e12 | − | 2.18725e12i | 0.0799695 | − | 0.138511i | −0.823267 | − | 0.567654i | \(-0.807851\pi\) |
0.903237 | + | 0.429143i | \(0.141184\pi\) | |||||||
\(858\) | −3.25619e13 | −2.05124 | ||||||||
\(859\) | −4.11991e12 | −0.258177 | −0.129089 | − | 0.991633i | \(-0.541205\pi\) | ||||
−0.129089 | + | 0.991633i | \(0.541205\pi\) | |||||||
\(860\) | −3.97840e12 | − | 3.10578e13i | −0.248008 | − | 1.93610i | ||||
\(861\) | −4.68855e13 | −2.90753 | ||||||||
\(862\) | 2.64825e12 | 0.163372 | ||||||||
\(863\) | 3.81175e12 | − | 6.60215e12i | 0.233925 | − | 0.405170i | −0.725035 | − | 0.688712i | \(-0.758176\pi\) |
0.958960 | + | 0.283543i | \(0.0915097\pi\) | |||||||
\(864\) | 4.50764e13 | 2.75193 | ||||||||
\(865\) | 1.36243e13 | − | 2.35981e13i | 0.827453 | − | 1.43319i | ||||
\(866\) | −3.83517e10 | + | 6.64270e10i | −0.00231715 | + | 0.00401342i | ||||
\(867\) | 3.10310e12 | + | 5.37472e12i | 0.186513 | + | 0.323050i | ||||
\(868\) | 3.70951e13 | 2.21808 | ||||||||
\(869\) | 1.08889e12 | + | 1.88602e12i | 0.0647733 | + | 0.112191i | ||||
\(870\) | 2.63869e13 | − | 4.57035e13i | 1.56154 | − | 2.70466i | ||||
\(871\) | 2.80785e12 | 0.165307 | ||||||||
\(872\) | −1.94032e12 | + | 3.36073e12i | −0.113645 | + | 0.196838i | ||||
\(873\) | 6.02425e12 | + | 1.04343e13i | 0.351026 | + | 0.607994i | ||||
\(874\) | −1.92806e13 | − | 3.33949e13i | −1.11768 | − | 1.93588i | ||||
\(875\) | −6.90210e12 | − | 1.19548e13i | −0.398057 | − | 0.689455i | ||||
\(876\) | 1.43034e13 | 0.820676 | ||||||||
\(877\) | 1.21202e13 | + | 2.09929e13i | 0.691851 | + | 1.19832i | 0.971231 | + | 0.238141i | \(0.0765380\pi\) |
−0.279379 | + | 0.960181i | \(0.590129\pi\) | |||||||
\(878\) | −1.08433e13 | − | 1.87812e13i | −0.615797 | − | 1.06659i | ||||
\(879\) | 1.16109e13 | − | 2.01107e13i | 0.656018 | − | 1.13626i | ||||
\(880\) | −1.58060e12 | + | 2.73768e12i | −0.0888483 | + | 0.153890i | ||||
\(881\) | 3.27506e12 | 0.183159 | 0.0915794 | − | 0.995798i | \(-0.470808\pi\) | ||||
0.0915794 | + | 0.995798i | \(0.470808\pi\) | |||||||
\(882\) | −7.68277e13 | −4.27474 | ||||||||
\(883\) | −2.22201e12 | + | 3.84863e12i | −0.123005 | + | 0.213051i | −0.920951 | − | 0.389678i | \(-0.872586\pi\) |
0.797946 | + | 0.602728i | \(0.205920\pi\) | |||||||
\(884\) | 7.72756e12 | − | 1.33845e13i | 0.425605 | − | 0.737170i | ||||
\(885\) | 5.04553e12 | + | 8.73911e12i | 0.276479 | + | 0.478875i | ||||
\(886\) | 1.71742e12 | + | 2.97466e12i | 0.0936323 | + | 0.162176i | ||||
\(887\) | −2.85278e13 | −1.54744 | −0.773718 | − | 0.633530i | \(-0.781605\pi\) | ||||
−0.773718 | + | 0.633530i | \(0.781605\pi\) | |||||||
\(888\) | 2.13899e13 | + | 3.70483e13i | 1.15438 | + | 1.99945i | ||||
\(889\) | 1.22808e13 | + | 2.12709e13i | 0.659427 | + | 1.14216i | ||||
\(890\) | 1.63745e13 | + | 2.83615e13i | 0.874809 | + | 1.51521i | ||||
\(891\) | 2.40622e13 | − | 4.16770e13i | 1.27904 | − | 2.21537i | ||||
\(892\) | 1.76375e13 | 0.932812 | ||||||||
\(893\) | 5.72671e12 | − | 9.91896e12i | 0.301352 | − | 0.521957i | ||||
\(894\) | 3.95629e13 | + | 6.85250e13i | 2.07143 | + | 3.58782i | ||||
\(895\) | 2.17106e13 | 1.13102 | ||||||||
\(896\) | 2.12916e13 | + | 3.68782e13i | 1.10363 | + | 1.91154i | ||||
\(897\) | −1.73007e13 | + | 2.99656e13i | −0.892271 | + | 1.54546i | ||||
\(898\) | 1.71173e13 | − | 2.96480e13i | 0.878399 | − | 1.52143i | ||||
\(899\) | −1.62235e13 | −0.828374 | ||||||||
\(900\) | −2.04976e13 | + | 3.55030e13i | −1.04139 | + | 1.80374i | ||||
\(901\) | 2.43825e13 | 1.23258 | ||||||||
\(902\) | 3.95067e13 | 1.98720 | ||||||||
\(903\) | 4.25490e13 | − | 3.24132e13i | 2.12958 | − | 1.62229i | ||||
\(904\) | 1.71540e13 | 0.854296 | ||||||||
\(905\) | −2.71157e13 | −1.34370 | ||||||||
\(906\) | −2.68928e12 | + | 4.65796e12i | −0.132605 | + | 0.229678i | ||||
\(907\) | −2.04070e13 | −1.00126 | −0.500630 | − | 0.865662i | \(-0.666898\pi\) | ||||
−0.500630 | + | 0.865662i | \(0.666898\pi\) | |||||||
\(908\) | −4.59963e12 | + | 7.96679e12i | −0.224562 | + | 0.388953i | ||||
\(909\) | 2.68644e13 | − | 4.65306e13i | 1.30509 | − | 2.26048i | ||||
\(910\) | 1.84468e13 | + | 3.19507e13i | 0.891731 | + | 1.54452i | ||||
\(911\) | −1.66937e13 | −0.803008 | −0.401504 | − | 0.915857i | \(-0.631512\pi\) | ||||
−0.401504 | + | 0.915857i | \(0.631512\pi\) | |||||||
\(912\) | 2.09067e12 | + | 3.62115e12i | 0.100071 | + | 0.173329i | ||||
\(913\) | −2.10388e13 | + | 3.64404e13i | −1.00208 | + | 1.73566i | ||||
\(914\) | 2.45714e12 | 0.116459 | ||||||||
\(915\) | −6.45211e12 | + | 1.11754e13i | −0.304304 | + | 0.527069i | ||||
\(916\) | −6.48405e12 | − | 1.12307e13i | −0.304311 | − | 0.527081i | ||||
\(917\) | −2.22279e13 | − | 3.84999e13i | −1.03810 | − | 1.79803i | ||||
\(918\) | 3.85639e13 | + | 6.67947e13i | 1.79221 | + | 3.10420i | ||||
\(919\) | 4.90829e12 | 0.226992 | 0.113496 | − | 0.993538i | \(-0.463795\pi\) | ||||
0.113496 | + | 0.993538i | \(0.463795\pi\) | |||||||
\(920\) | −1.94148e13 | − | 3.36274e13i | −0.893486 | − | 1.54756i | ||||
\(921\) | 1.46061e13 | + | 2.52985e13i | 0.668908 | + | 1.15858i | ||||
\(922\) | 1.49612e13 | − | 2.59135e13i | 0.681832 | − | 1.18097i | ||||
\(923\) | −4.16516e12 | + | 7.21426e12i | −0.188896 | + | 0.327178i | ||||
\(924\) | 1.05870e14 | 4.77802 | ||||||||
\(925\) | 1.75859e13 | 0.789818 | ||||||||
\(926\) | −9.81495e12 | + | 1.70000e13i | −0.438671 | + | 0.759800i | ||||
\(927\) | 2.39391e13 | − | 4.14638e13i | 1.06475 | − | 1.84421i | ||||
\(928\) | −1.05361e13 | − | 1.82490e13i | −0.466350 | − | 0.807742i | ||||
\(929\) | −1.21720e13 | − | 2.10825e13i | −0.536154 | − | 0.928647i | −0.999107 | − | 0.0422633i | \(-0.986543\pi\) |
0.462952 | − | 0.886383i | \(-0.346790\pi\) | |||||||
\(930\) | 8.15923e13 | 3.57664 | ||||||||
\(931\) | −1.13480e13 | − | 1.96553e13i | −0.495045 | − | 0.857443i | ||||
\(932\) | −3.14064e13 | − | 5.43974e13i | −1.36347 | − | 2.36160i | ||||
\(933\) | −3.72139e13 | − | 6.44564e13i | −1.60782 | − | 2.78483i | ||||
\(934\) | −1.09890e13 | + | 1.90335e13i | −0.472494 | + | 0.818384i | ||||
\(935\) | −2.98226e13 | −1.27613 | ||||||||
\(936\) | −1.52453e13 | + | 2.64057e13i | −0.649225 | + | 1.12449i | ||||
\(937\) | 2.17677e13 | + | 3.77028e13i | 0.922538 | + | 1.59788i | 0.795474 | + | 0.605988i | \(0.207222\pi\) |
0.127064 | + | 0.991894i | \(0.459445\pi\) | |||||||
\(938\) | −1.49776e13 | −0.631729 | ||||||||
\(939\) | 3.11418e12 | + | 5.39391e12i | 0.130722 | + | 0.226417i | ||||
\(940\) | 1.60458e13 | − | 2.77921e13i | 0.670326 | − | 1.16104i | ||||
\(941\) | 2.39513e13 | − | 4.14849e13i | 0.995808 | − | 1.72479i | 0.418693 | − | 0.908128i | \(-0.362488\pi\) |
0.577115 | − | 0.816663i | \(-0.304178\pi\) | |||||||
\(942\) | 5.64067e12 | 0.233400 | ||||||||
\(943\) | 2.09906e13 | − | 3.63568e13i | 0.864414 | − | 1.49721i | ||||
\(944\) | 7.30791e11 | 0.0299516 | ||||||||
\(945\) | −1.12223e14 | −4.57761 | ||||||||
\(946\) | −3.58527e13 | + | 2.73121e13i | −1.45550 | + | 1.10878i | ||||
\(947\) | −1.41604e13 | −0.572137 | −0.286069 | − | 0.958209i | \(-0.592349\pi\) | ||||
−0.286069 | + | 0.958209i | \(0.592349\pi\) | |||||||
\(948\) | 8.07116e12 | 0.324563 | ||||||||
\(949\) | 2.18660e12 | − | 3.78731e12i | 0.0875130 | − | 0.151577i | ||||
\(950\) | −1.98688e13 | −0.791435 | ||||||||
\(951\) | −2.44136e13 | + | 4.22856e13i | −0.967875 | + | 1.67641i | ||||
\(952\) | −1.48139e13 | + | 2.56584e13i | −0.584525 | + | 1.01243i | ||||
\(953\) | 5.17770e12 | + | 8.96803e12i | 0.203338 | + | 0.352192i | 0.949602 | − | 0.313458i | \(-0.101488\pi\) |
−0.746264 | + | 0.665650i | \(0.768154\pi\) | |||||||
\(954\) | −1.33849e14 | −5.23175 | ||||||||
\(955\) | −2.20167e13 | − | 3.81341e13i | −0.856521 | − | 1.48354i | ||||
\(956\) | −9.67701e12 | + | 1.67611e13i | −0.374697 | + | 0.648995i | ||||
\(957\) | −4.63020e13 | −1.78442 | ||||||||
\(958\) | −1.36579e13 | + | 2.36562e13i | −0.523888 | + | 0.907401i | ||||
\(959\) | 1.78853e13 | + | 3.09783e13i | 0.682831 | + | 1.18270i | ||||
\(960\) | 4.92359e13 | + | 8.52790e13i | 1.87095 | + | 3.24057i | ||||
\(961\) | 6.78434e11 | + | 1.17508e12i | 0.0256597 | + | 0.0444440i | ||||
\(962\) | 3.63949e13 | 1.37010 | ||||||||
\(963\) | 2.11045e13 | + | 3.65540e13i | 0.790781 | + | 1.36967i | ||||
\(964\) | −2.74243e12 | − | 4.75003e12i | −0.102280 | − | 0.177154i | ||||
\(965\) | −2.68064e13 | + | 4.64300e13i | −0.995096 | + | 1.72356i | ||||
\(966\) | 9.22853e13 | − | 1.59843e14i | 3.40985 | − | 5.90603i | ||||
\(967\) | −1.09769e13 | −0.403701 | −0.201851 | − | 0.979416i | \(-0.564696\pi\) | ||||
−0.201851 | + | 0.979416i | \(0.564696\pi\) | |||||||
\(968\) | −7.53519e12 | −0.275839 | ||||||||
\(969\) | −1.97234e13 | + | 3.41619e13i | −0.718661 | + | 1.24476i | ||||
\(970\) | −8.18081e12 | + | 1.41696e13i | −0.296704 | + | 0.513907i | ||||
\(971\) | −1.28530e13 | − | 2.22621e13i | −0.464000 | − | 0.803672i | 0.535155 | − | 0.844754i | \(-0.320253\pi\) |
−0.999156 | + | 0.0410814i | \(0.986920\pi\) | |||||||
\(972\) | −3.46734e13 | − | 6.00561e13i | −1.24594 | − | 2.15804i | ||||
\(973\) | 4.72764e13 | 1.69097 | ||||||||
\(974\) | 1.61439e13 | + | 2.79621e13i | 0.574769 | + | 0.995529i | ||||
\(975\) | 8.91424e12 | + | 1.54399e13i | 0.315910 | + | 0.547172i | ||||
\(976\) | 4.67260e11 | + | 8.09318e11i | 0.0164829 | + | 0.0285493i | ||||
\(977\) | −8.15947e12 | + | 1.41326e13i | −0.286508 | + | 0.496246i | −0.972974 | − | 0.230916i | \(-0.925828\pi\) |
0.686466 | + | 0.727162i | \(0.259161\pi\) | |||||||
\(978\) | −8.17193e13 | −2.85627 | ||||||||
\(979\) | 1.43664e13 | − | 2.48834e13i | 0.499836 | − | 0.865741i | ||||
\(980\) | −3.17961e13 | − | 5.50725e13i | −1.10118 | − | 1.90729i | ||||
\(981\) | −1.73863e13 | −0.599371 | ||||||||
\(982\) | −2.17001e12 | − | 3.75856e12i | −0.0744662 | − | 0.128979i | ||||
\(983\) | 6.89828e12 | − | 1.19482e13i | 0.235641 | − | 0.408141i | −0.723818 | − | 0.689991i | \(-0.757615\pi\) |
0.959459 | + | 0.281849i | \(0.0909479\pi\) | |||||||
\(984\) | 2.63099e13 | − | 4.55701e13i | 0.894626 | − | 1.54954i | ||||
\(985\) | −4.02742e13 | −1.36321 | ||||||||
\(986\) | 1.80277e13 | − | 3.12249e13i | 0.607428 | − | 1.05210i | ||||
\(987\) | 5.48211e13 | 1.83874 | ||||||||
\(988\) | −2.50634e13 | −0.836823 | ||||||||
\(989\) | 6.08529e12 | + | 4.75054e13i | 0.202254 | + | 1.57892i | ||||
\(990\) | 1.63713e14 | 5.41658 | ||||||||
\(991\) | −2.61050e13 | −0.859789 | −0.429894 | − | 0.902879i | \(-0.641449\pi\) | ||||
−0.429894 | + | 0.902879i | \(0.641449\pi\) | |||||||
\(992\) | 1.62895e13 | − | 2.82143e13i | 0.534079 | − | 0.925052i | ||||
\(993\) | −6.99156e12 | −0.228193 | ||||||||
\(994\) | 2.22178e13 | − | 3.84823e13i | 0.721875 | − | 1.25032i | ||||
\(995\) | −5.93023e11 | + | 1.02715e12i | −0.0191808 | + | 0.0332222i | ||||
\(996\) | 7.79728e13 | + | 1.35053e14i | 2.51059 | + | 4.34847i | ||||
\(997\) | −5.10815e12 | −0.163733 | −0.0818663 | − | 0.996643i | \(-0.526088\pi\) | ||||
−0.0818663 | + | 0.996643i | \(0.526088\pi\) | |||||||
\(998\) | 1.69767e13 | + | 2.94044e13i | 0.541708 | + | 0.938265i | ||||
\(999\) | −5.53531e13 | + | 9.58744e13i | −1.75832 | + | 3.04550i |
(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 | 43.10.c.a.6.5 | ✓ | 64 | |
43.36 | even | 3 | inner | 43.10.c.a.36.5 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.c.a.6.5 | ✓ | 64 | 1.1 | even | 1 | trivial | |
43.10.c.a.36.5 | yes | 64 | 43.36 | even | 3 | inner |