Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,8,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, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.6");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
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: | \(13.4325560958\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 6.18 | ||
Character | \(\chi\) | \(=\) | 43.6 |
Dual form | 43.8.c.a.36.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 11.0451 | 0.976258 | 0.488129 | − | 0.872772i | \(-0.337680\pi\) | ||||
0.488129 | + | 0.872772i | \(0.337680\pi\) | |||||||
\(3\) | −18.5527 | + | 32.1342i | −0.396718 | + | 0.687136i | −0.993319 | − | 0.115402i | \(-0.963184\pi\) |
0.596601 | + | 0.802538i | \(0.296518\pi\) | |||||||
\(4\) | −6.00588 | −0.0469209 | ||||||||
\(5\) | 52.2320 | − | 90.4684i | 0.186871 | − | 0.323670i | −0.757335 | − | 0.653027i | \(-0.773499\pi\) |
0.944205 | + | 0.329357i | \(0.106832\pi\) | |||||||
\(6\) | −204.916 | + | 354.925i | −0.387299 | + | 0.670822i | ||||
\(7\) | −372.866 | − | 645.822i | −0.410875 | − | 0.711656i | 0.584111 | − | 0.811674i | \(-0.301443\pi\) |
−0.994986 | + | 0.100018i | \(0.968110\pi\) | |||||||
\(8\) | −1480.11 | −1.02206 | ||||||||
\(9\) | 405.097 | + | 701.648i | 0.185229 | + | 0.320827i | ||||
\(10\) | 576.907 | − | 999.232i | 0.182434 | − | 0.315985i | ||||
\(11\) | −2764.67 | −0.626280 | −0.313140 | − | 0.949707i | \(-0.601381\pi\) | ||||
−0.313140 | + | 0.949707i | \(0.601381\pi\) | |||||||
\(12\) | 111.425 | − | 192.994i | 0.0186144 | − | 0.0322411i | ||||
\(13\) | −5341.64 | − | 9251.98i | −0.674330 | − | 1.16797i | −0.976664 | − | 0.214772i | \(-0.931099\pi\) |
0.302334 | − | 0.953202i | \(-0.402234\pi\) | |||||||
\(14\) | −4118.34 | − | 7133.17i | −0.401119 | − | 0.694759i | ||||
\(15\) | 1938.09 | + | 3356.86i | 0.148270 | + | 0.256811i | ||||
\(16\) | −15579.2 | −0.950877 | ||||||||
\(17\) | −14846.3 | − | 25714.5i | −0.732904 | − | 1.26943i | −0.955637 | − | 0.294547i | \(-0.904831\pi\) |
0.222733 | − | 0.974879i | \(-0.428502\pi\) | |||||||
\(18\) | 4474.33 | + | 7749.77i | 0.180832 | + | 0.313210i | ||||
\(19\) | 16702.5 | − | 28929.5i | 0.558655 | − | 0.967618i | −0.438955 | − | 0.898509i | \(-0.644651\pi\) |
0.997609 | − | 0.0691088i | \(-0.0220156\pi\) | |||||||
\(20\) | −313.699 | + | 543.342i | −0.00876815 | + | 0.0151869i | ||||
\(21\) | 27670.6 | 0.652006 | ||||||||
\(22\) | −30536.0 | −0.611411 | ||||||||
\(23\) | −51542.4 | + | 89274.0i | −0.883318 | + | 1.52995i | −0.0356880 | + | 0.999363i | \(0.511362\pi\) |
−0.847630 | + | 0.530588i | \(0.821971\pi\) | |||||||
\(24\) | 27460.0 | − | 47562.0i | 0.405472 | − | 0.702297i | ||||
\(25\) | 33606.1 | + | 58207.5i | 0.430159 | + | 0.745057i | ||||
\(26\) | −58998.9 | − | 102189.i | −0.658320 | − | 1.14024i | ||||
\(27\) | −111212. | −1.08737 | ||||||||
\(28\) | 2239.39 | + | 3878.73i | 0.0192786 | + | 0.0333915i | ||||
\(29\) | 47771.6 | + | 82742.9i | 0.363728 | + | 0.629996i | 0.988571 | − | 0.150755i | \(-0.0481703\pi\) |
−0.624843 | + | 0.780751i | \(0.714837\pi\) | |||||||
\(30\) | 21406.3 | + | 37076.9i | 0.144750 | + | 0.250714i | ||||
\(31\) | 22861.2 | − | 39596.8i | 0.137827 | − | 0.238723i | −0.788847 | − | 0.614590i | \(-0.789322\pi\) |
0.926674 | + | 0.375867i | \(0.122655\pi\) | |||||||
\(32\) | 17380.3 | 0.0937631 | ||||||||
\(33\) | 51292.0 | − | 88840.3i | 0.248457 | − | 0.430340i | ||||
\(34\) | −163979. | − | 284020.i | −0.715503 | − | 1.23929i | ||||
\(35\) | −77902.0 | −0.307122 | ||||||||
\(36\) | −2432.96 | − | 4214.01i | −0.00869114 | − | 0.0150535i | ||||
\(37\) | −45598.3 | + | 78978.6i | −0.147993 | + | 0.256332i | −0.930486 | − | 0.366328i | \(-0.880615\pi\) |
0.782492 | + | 0.622660i | \(0.213948\pi\) | |||||||
\(38\) | 184480. | − | 319530.i | 0.545391 | − | 0.944645i | ||||
\(39\) | 396406. | 1.07008 | ||||||||
\(40\) | −77308.9 | + | 133903.i | −0.190994 | + | 0.330811i | ||||
\(41\) | −824298. | −1.86784 | −0.933922 | − | 0.357476i | \(-0.883637\pi\) | ||||
−0.933922 | + | 0.357476i | \(0.883637\pi\) | |||||||
\(42\) | 305625. | 0.636525 | ||||||||
\(43\) | −59757.9 | + | 517926.i | −0.114619 | + | 0.993410i | ||||
\(44\) | 16604.3 | 0.0293856 | ||||||||
\(45\) | 84636.0 | 0.138456 | ||||||||
\(46\) | −569290. | + | 986040.i | −0.862346 | + | 1.49363i | ||||
\(47\) | 1.28435e6 | 1.80443 | 0.902216 | − | 0.431284i | \(-0.141939\pi\) | ||||
0.902216 | + | 0.431284i | \(0.141939\pi\) | |||||||
\(48\) | 289035. | − | 500624.i | 0.377230 | − | 0.653382i | ||||
\(49\) | 133714. | − | 231599.i | 0.162364 | − | 0.281223i | ||||
\(50\) | 371183. | + | 642908.i | 0.419946 | + | 0.727367i | ||||
\(51\) | 1.10175e6 | 1.16302 | ||||||||
\(52\) | 32081.2 | + | 55566.3i | 0.0316402 | + | 0.0548024i | ||||
\(53\) | 152213. | − | 263641.i | 0.140438 | − | 0.243247i | −0.787223 | − | 0.616668i | \(-0.788482\pi\) |
0.927662 | + | 0.373421i | \(0.121815\pi\) | |||||||
\(54\) | −1.22835e6 | −1.06156 | ||||||||
\(55\) | −144404. | + | 250115.i | −0.117033 | + | 0.202708i | ||||
\(56\) | 551881. | + | 955887.i | 0.419940 | + | 0.727358i | ||||
\(57\) | 619751. | + | 1.07344e6i | 0.443257 | + | 0.767743i | ||||
\(58\) | 527642. | + | 913903.i | 0.355093 | + | 0.615038i | ||||
\(59\) | −850229. | −0.538957 | −0.269478 | − | 0.963006i | \(-0.586851\pi\) | ||||
−0.269478 | + | 0.963006i | \(0.586851\pi\) | |||||||
\(60\) | −11639.9 | − | 20160.9i | −0.00695697 | − | 0.0120498i | ||||
\(61\) | 41989.7 | + | 72728.3i | 0.0236858 | + | 0.0410250i | 0.877625 | − | 0.479347i | \(-0.159127\pi\) |
−0.853940 | + | 0.520372i | \(0.825793\pi\) | |||||||
\(62\) | 252504. | − | 437350.i | 0.134554 | − | 0.233055i | ||||
\(63\) | 302093. | − | 523241.i | 0.152212 | − | 0.263639i | ||||
\(64\) | 2.18610e6 | 1.04241 | ||||||||
\(65\) | −1.11602e6 | −0.504050 | ||||||||
\(66\) | 566525. | − | 981250.i | 0.242558 | − | 0.420122i | ||||
\(67\) | −602192. | + | 1.04303e6i | −0.244609 | + | 0.423676i | −0.962022 | − | 0.272973i | \(-0.911993\pi\) |
0.717412 | + | 0.696649i | \(0.245326\pi\) | |||||||
\(68\) | 89165.1 | + | 154438.i | 0.0343885 | + | 0.0595627i | ||||
\(69\) | −1.91250e6 | − | 3.31254e6i | −0.700856 | − | 1.21392i | ||||
\(70\) | −860435. | −0.299830 | ||||||||
\(71\) | −2.89614e6 | − | 5.01625e6i | −0.960317 | − | 1.66332i | −0.721703 | − | 0.692203i | \(-0.756640\pi\) |
−0.238614 | − | 0.971114i | \(-0.576693\pi\) | |||||||
\(72\) | −599587. | − | 1.03851e6i | −0.189316 | − | 0.327906i | ||||
\(73\) | −1.71385e6 | − | 2.96848e6i | −0.515636 | − | 0.893108i | −0.999835 | − | 0.0181502i | \(-0.994222\pi\) |
0.484199 | − | 0.874958i | \(-0.339111\pi\) | |||||||
\(74\) | −503638. | + | 872326.i | −0.144480 | + | 0.250246i | ||||
\(75\) | −2.49394e6 | −0.682607 | ||||||||
\(76\) | −100313. | + | 173747.i | −0.0262126 | + | 0.0454015i | ||||
\(77\) | 1.03085e6 | + | 1.78548e6i | 0.257323 | + | 0.445696i | ||||
\(78\) | 4.37835e6 | 1.04467 | ||||||||
\(79\) | −1.08113e6 | − | 1.87256e6i | −0.246707 | − | 0.427309i | 0.715903 | − | 0.698200i | \(-0.246015\pi\) |
−0.962610 | + | 0.270891i | \(0.912682\pi\) | |||||||
\(80\) | −813731. | + | 1.40942e6i | −0.177691 | + | 0.307770i | ||||
\(81\) | 1.17733e6 | − | 2.03920e6i | 0.246151 | − | 0.426346i | ||||
\(82\) | −9.10445e6 | −1.82350 | ||||||||
\(83\) | −1.63863e6 | + | 2.83820e6i | −0.314564 | + | 0.544840i | −0.979345 | − | 0.202198i | \(-0.935192\pi\) |
0.664781 | + | 0.747038i | \(0.268525\pi\) | |||||||
\(84\) | −166186. | −0.0305927 | ||||||||
\(85\) | −3.10181e6 | −0.547833 | ||||||||
\(86\) | −660032. | + | 5.72054e6i | −0.111897 | + | 0.969824i | ||||
\(87\) | −3.54517e6 | −0.577191 | ||||||||
\(88\) | 4.09201e6 | 0.640099 | ||||||||
\(89\) | 4.99320e6 | − | 8.64847e6i | 0.750782 | − | 1.30039i | −0.196663 | − | 0.980471i | \(-0.563010\pi\) |
0.947444 | − | 0.319921i | \(-0.103656\pi\) | |||||||
\(90\) | 934813. | 0.135169 | ||||||||
\(91\) | −3.98343e6 | + | 6.89950e6i | −0.554130 | + | 0.959782i | ||||
\(92\) | 309557. | − | 536169.i | 0.0414461 | − | 0.0717867i | ||||
\(93\) | 848273. | + | 1.46925e6i | 0.109357 | + | 0.189411i | ||||
\(94\) | 1.41858e7 | 1.76159 | ||||||||
\(95\) | −1.74481e6 | − | 3.02209e6i | −0.208792 | − | 0.361639i | ||||
\(96\) | −322451. | + | 558501.i | −0.0371975 | + | 0.0644280i | ||||
\(97\) | 252617. | 0.0281036 | 0.0140518 | − | 0.999901i | \(-0.495527\pi\) | ||||
0.0140518 | + | 0.999901i | \(0.495527\pi\) | |||||||
\(98\) | 1.47688e6 | − | 2.55804e6i | 0.158509 | − | 0.274546i | ||||
\(99\) | −1.11996e6 | − | 1.93982e6i | −0.116005 | − | 0.200927i | ||||
\(100\) | −201834. | − | 349588.i | −0.0201834 | − | 0.0349588i | ||||
\(101\) | −6.23389e6 | − | 1.07974e7i | −0.602052 | − | 1.04279i | −0.992510 | − | 0.122164i | \(-0.961017\pi\) |
0.390458 | − | 0.920621i | \(-0.372317\pi\) | |||||||
\(102\) | 1.21690e7 | 1.13541 | ||||||||
\(103\) | 9.32383e6 | + | 1.61493e7i | 0.840744 | + | 1.45621i | 0.889266 | + | 0.457390i | \(0.151216\pi\) |
−0.0485221 | + | 0.998822i | \(0.515451\pi\) | |||||||
\(104\) | 7.90620e6 | + | 1.36939e7i | 0.689209 | + | 1.19374i | ||||
\(105\) | 1.44529e6 | − | 2.50332e6i | 0.121841 | − | 0.211034i | ||||
\(106\) | 1.68121e6 | − | 2.91193e6i | 0.137104 | − | 0.237471i | ||||
\(107\) | −7.76267e6 | −0.612587 | −0.306294 | − | 0.951937i | \(-0.599089\pi\) | ||||
−0.306294 | + | 0.951937i | \(0.599089\pi\) | |||||||
\(108\) | 667925. | 0.0510205 | ||||||||
\(109\) | −84719.8 | + | 146739.i | −0.00626602 | + | 0.0108531i | −0.869141 | − | 0.494564i | \(-0.835328\pi\) |
0.862875 | + | 0.505417i | \(0.168661\pi\) | |||||||
\(110\) | −1.59496e6 | + | 2.76255e6i | −0.114255 | + | 0.197895i | ||||
\(111\) | −1.69194e6 | − | 2.93053e6i | −0.117423 | − | 0.203383i | ||||
\(112\) | 5.80894e6 | + | 1.00614e7i | 0.390691 | + | 0.676697i | ||||
\(113\) | −1.72759e6 | −0.112633 | −0.0563165 | − | 0.998413i | \(-0.517936\pi\) | ||||
−0.0563165 | + | 0.998413i | \(0.517936\pi\) | |||||||
\(114\) | 6.84521e6 | + | 1.18563e7i | 0.432733 | + | 0.749515i | ||||
\(115\) | 5.38432e6 | + | 9.32591e6i | 0.330133 | + | 0.571806i | ||||
\(116\) | −286911. | − | 496944.i | −0.0170665 | − | 0.0295600i | ||||
\(117\) | 4.32776e6 | − | 7.49590e6i | 0.249812 | − | 0.432686i | ||||
\(118\) | −9.39086e6 | −0.526161 | ||||||||
\(119\) | −1.10713e7 | + | 1.91761e7i | −0.602263 | + | 1.04315i | ||||
\(120\) | −2.86857e6 | − | 4.96852e6i | −0.151542 | − | 0.262478i | ||||
\(121\) | −1.18438e7 | −0.607773 | ||||||||
\(122\) | 463780. | + | 803290.i | 0.0231234 | + | 0.0400510i | ||||
\(123\) | 1.52929e7 | − | 2.64881e7i | 0.741008 | − | 1.28346i | ||||
\(124\) | −137302. | + | 237814.i | −0.00646696 | + | 0.0112011i | ||||
\(125\) | 1.51825e7 | 0.695278 | ||||||||
\(126\) | 3.33665e6 | − | 5.77925e6i | 0.148598 | − | 0.257380i | ||||
\(127\) | −8.33152e6 | −0.360920 | −0.180460 | − | 0.983582i | \(-0.557759\pi\) | ||||
−0.180460 | + | 0.983582i | \(0.557759\pi\) | |||||||
\(128\) | 2.19210e7 | 0.923902 | ||||||||
\(129\) | −1.55345e7 | − | 1.15292e7i | −0.637136 | − | 0.472862i | ||||
\(130\) | −1.23265e7 | −0.492083 | ||||||||
\(131\) | −1.07491e7 | −0.417755 | −0.208877 | − | 0.977942i | \(-0.566981\pi\) | ||||
−0.208877 | + | 0.977942i | \(0.566981\pi\) | |||||||
\(132\) | −308053. | + | 533564.i | −0.0116578 | + | 0.0201919i | ||||
\(133\) | −2.49111e7 | −0.918148 | ||||||||
\(134\) | −6.65126e6 | + | 1.15203e7i | −0.238802 | + | 0.413617i | ||||
\(135\) | −5.80882e6 | + | 1.00612e7i | −0.203198 | + | 0.351949i | ||||
\(136\) | 2.19741e7 | + | 3.80603e7i | 0.749075 | + | 1.29744i | ||||
\(137\) | 2.64037e7 | 0.877290 | 0.438645 | − | 0.898661i | \(-0.355459\pi\) | ||||
0.438645 | + | 0.898661i | \(0.355459\pi\) | |||||||
\(138\) | −2.11237e7 | − | 3.65873e7i | −0.684216 | − | 1.18510i | ||||
\(139\) | 2.49981e7 | − | 4.32981e7i | 0.789507 | − | 1.36747i | −0.136762 | − | 0.990604i | \(-0.543670\pi\) |
0.926269 | − | 0.376862i | \(-0.122997\pi\) | |||||||
\(140\) | 467870. | 0.0144104 | ||||||||
\(141\) | −2.38281e7 | + | 4.12715e7i | −0.715851 | + | 1.23989i | ||||
\(142\) | −3.19881e7 | − | 5.54050e7i | −0.937517 | − | 1.62383i | ||||
\(143\) | 1.47679e7 | + | 2.55787e7i | 0.422320 | + | 0.731479i | ||||
\(144\) | −6.31107e6 | − | 1.09311e7i | −0.176130 | − | 0.305067i | ||||
\(145\) | 9.98083e6 | 0.271881 | ||||||||
\(146\) | −1.89297e7 | − | 3.27871e7i | −0.503394 | − | 0.871904i | ||||
\(147\) | 4.96150e6 | + | 8.59357e6i | 0.128826 | + | 0.223133i | ||||
\(148\) | 273858. | − | 474336.i | 0.00694399 | − | 0.0120273i | ||||
\(149\) | 8.06615e6 | − | 1.39710e7i | 0.199763 | − | 0.345999i | −0.748689 | − | 0.662922i | \(-0.769316\pi\) |
0.948451 | + | 0.316923i | \(0.102650\pi\) | |||||||
\(150\) | −2.75457e7 | −0.666400 | ||||||||
\(151\) | 3.40064e7 | 0.803789 | 0.401894 | − | 0.915686i | \(-0.368352\pi\) | ||||
0.401894 | + | 0.915686i | \(0.368352\pi\) | |||||||
\(152\) | −2.47215e7 | + | 4.28188e7i | −0.570981 | + | 0.988968i | ||||
\(153\) | 1.20284e7 | − | 2.08338e7i | 0.271511 | − | 0.470270i | ||||
\(154\) | 1.13858e7 | + | 1.97208e7i | 0.251213 | + | 0.435114i | ||||
\(155\) | −2.38817e6 | − | 4.13644e6i | −0.0515116 | − | 0.0892207i | ||||
\(156\) | −2.38077e6 | −0.0502090 | ||||||||
\(157\) | −9.84695e6 | − | 1.70554e7i | −0.203073 | − | 0.351733i | 0.746444 | − | 0.665448i | \(-0.231760\pi\) |
−0.949517 | + | 0.313715i | \(0.898426\pi\) | |||||||
\(158\) | −1.19411e7 | − | 2.06827e7i | −0.240850 | − | 0.417164i | ||||
\(159\) | 5.64791e6 | + | 9.78247e6i | 0.111429 | + | 0.193001i | ||||
\(160\) | 907807. | − | 1.57237e6i | 0.0175216 | − | 0.0303483i | ||||
\(161\) | 7.68735e7 | 1.45173 | ||||||||
\(162\) | 1.30037e7 | − | 2.25231e7i | 0.240307 | − | 0.416223i | ||||
\(163\) | −2.01087e7 | − | 3.48294e7i | −0.363687 | − | 0.629925i | 0.624877 | − | 0.780723i | \(-0.285149\pi\) |
−0.988565 | + | 0.150798i | \(0.951816\pi\) | |||||||
\(164\) | 4.95063e6 | 0.0876410 | ||||||||
\(165\) | −5.35816e6 | − | 9.28061e6i | −0.0928586 | − | 0.160836i | ||||
\(166\) | −1.80989e7 | + | 3.13482e7i | −0.307095 | + | 0.531905i | ||||
\(167\) | −5.26506e7 | + | 9.11936e7i | −0.874774 | + | 1.51515i | −0.0177708 | + | 0.999842i | \(0.505657\pi\) |
−0.857003 | + | 0.515311i | \(0.827676\pi\) | |||||||
\(168\) | −4.09555e7 | −0.666392 | ||||||||
\(169\) | −2.56919e7 | + | 4.44997e7i | −0.409442 | + | 0.709175i | ||||
\(170\) | −3.42597e7 | −0.534826 | ||||||||
\(171\) | 2.70645e7 | 0.413917 | ||||||||
\(172\) | 358899. | − | 3.11060e6i | 0.00537802 | − | 0.0466117i | ||||
\(173\) | −8.17472e7 | −1.20036 | −0.600180 | − | 0.799865i | \(-0.704904\pi\) | ||||
−0.600180 | + | 0.799865i | \(0.704904\pi\) | |||||||
\(174\) | −3.91567e7 | −0.563487 | ||||||||
\(175\) | 2.50612e7 | − | 4.34072e7i | 0.353482 | − | 0.612250i | ||||
\(176\) | 4.30713e7 | 0.595516 | ||||||||
\(177\) | 1.57740e7 | − | 2.73214e7i | 0.213814 | − | 0.370336i | ||||
\(178\) | 5.51503e7 | − | 9.55232e7i | 0.732956 | − | 1.26952i | ||||
\(179\) | 4.42662e7 | + | 7.66713e7i | 0.576882 | + | 0.999188i | 0.995834 | + | 0.0911802i | \(0.0290639\pi\) |
−0.418953 | + | 0.908008i | \(0.637603\pi\) | |||||||
\(180\) | −508314. | −0.00649648 | ||||||||
\(181\) | −4.45452e7 | − | 7.71546e7i | −0.558375 | − | 0.967134i | −0.997632 | − | 0.0687730i | \(-0.978092\pi\) |
0.439257 | − | 0.898361i | \(-0.355242\pi\) | |||||||
\(182\) | −4.39973e7 | + | 7.62056e7i | −0.540974 | + | 0.936994i | ||||
\(183\) | −3.11608e6 | −0.0375864 | ||||||||
\(184\) | 7.62883e7 | − | 1.32135e8i | 0.902808 | − | 1.56371i | ||||
\(185\) | 4.76338e6 | + | 8.25041e6i | 0.0553113 | + | 0.0958020i | ||||
\(186\) | 9.36926e6 | + | 1.62280e7i | 0.106760 | + | 0.184914i | ||||
\(187\) | 4.10451e7 | + | 7.10922e7i | 0.459003 | + | 0.795017i | ||||
\(188\) | −7.71365e6 | −0.0846657 | ||||||||
\(189\) | 4.14671e7 | + | 7.18231e7i | 0.446773 | + | 0.773834i | ||||
\(190\) | −1.92716e7 | − | 3.33793e7i | −0.203835 | − | 0.353053i | ||||
\(191\) | −1.64668e7 | + | 2.85213e7i | −0.170999 | + | 0.296178i | −0.938769 | − | 0.344547i | \(-0.888033\pi\) |
0.767771 | + | 0.640725i | \(0.221366\pi\) | |||||||
\(192\) | −4.05580e7 | + | 7.02486e7i | −0.413545 | + | 0.716281i | ||||
\(193\) | 7.67845e7 | 0.768817 | 0.384408 | − | 0.923163i | \(-0.374405\pi\) | ||||
0.384408 | + | 0.923163i | \(0.374405\pi\) | |||||||
\(194\) | 2.79018e6 | 0.0274364 | ||||||||
\(195\) | 2.07051e7 | − | 3.58623e7i | 0.199966 | − | 0.346351i | ||||
\(196\) | −803069. | + | 1.39096e6i | −0.00761828 | + | 0.0131952i | ||||
\(197\) | 3.68118e7 | + | 6.37598e7i | 0.343048 | + | 0.594176i | 0.984997 | − | 0.172571i | \(-0.0552074\pi\) |
−0.641949 | + | 0.766747i | \(0.721874\pi\) | |||||||
\(198\) | −1.23700e7 | − | 2.14255e7i | −0.113251 | − | 0.196157i | ||||
\(199\) | 8.03131e7 | 0.722438 | 0.361219 | − | 0.932481i | \(-0.382361\pi\) | ||||
0.361219 | + | 0.932481i | \(0.382361\pi\) | |||||||
\(200\) | −4.97407e7 | − | 8.61534e7i | −0.439650 | − | 0.761496i | ||||
\(201\) | −2.23445e7 | − | 3.87019e7i | −0.194082 | − | 0.336160i | ||||
\(202\) | −6.88539e7 | − | 1.19258e8i | −0.587758 | − | 1.01803i | ||||
\(203\) | 3.56248e7 | − | 6.17040e7i | 0.298893 | − | 0.517699i | ||||
\(204\) | −6.61700e6 | −0.0545702 | ||||||||
\(205\) | −4.30547e7 | + | 7.45729e7i | −0.349046 | + | 0.604565i | ||||
\(206\) | 1.02983e8 | + | 1.78371e8i | 0.820783 | + | 1.42164i | ||||
\(207\) | −8.35186e7 | −0.654466 | ||||||||
\(208\) | 8.32183e7 | + | 1.44138e8i | 0.641205 | + | 1.11060i | ||||
\(209\) | −4.61768e7 | + | 7.99806e7i | −0.349874 | + | 0.606000i | ||||
\(210\) | 1.59634e7 | − | 2.76494e7i | 0.118948 | − | 0.206024i | ||||
\(211\) | 7.49453e7 | 0.549232 | 0.274616 | − | 0.961554i | \(-0.411449\pi\) | ||||
0.274616 | + | 0.961554i | \(0.411449\pi\) | |||||||
\(212\) | −914173. | + | 1.58339e6i | −0.00658950 | + | 0.0114134i | ||||
\(213\) | 2.14924e8 | 1.52390 | ||||||||
\(214\) | −8.57394e7 | −0.598043 | ||||||||
\(215\) | 4.37347e7 | + | 3.24585e7i | 0.300118 | + | 0.222738i | ||||
\(216\) | 1.64606e8 | 1.11136 | ||||||||
\(217\) | −3.40967e7 | −0.226518 | ||||||||
\(218\) | −935738. | + | 1.62075e6i | −0.00611725 | + | 0.0105954i | ||||
\(219\) | 1.27186e8 | 0.818249 | ||||||||
\(220\) | 867273. | − | 1.50216e6i | 0.00549132 | − | 0.00951124i | ||||
\(221\) | −1.58607e8 | + | 2.74715e8i | −0.988438 | + | 1.71203i | ||||
\(222\) | −1.86876e7 | − | 3.23680e7i | −0.114636 | − | 0.198555i | ||||
\(223\) | 1.51700e8 | 0.916048 | 0.458024 | − | 0.888940i | \(-0.348557\pi\) | ||||
0.458024 | + | 0.888940i | \(0.348557\pi\) | |||||||
\(224\) | −6.48051e6 | − | 1.12246e7i | −0.0385249 | − | 0.0667271i | ||||
\(225\) | −2.72275e7 | + | 4.71594e7i | −0.159356 | + | 0.276013i | ||||
\(226\) | −1.90814e7 | −0.109959 | ||||||||
\(227\) | −1.17782e8 | + | 2.04004e8i | −0.668326 | + | 1.15757i | 0.310046 | + | 0.950721i | \(0.399655\pi\) |
−0.978372 | + | 0.206853i | \(0.933678\pi\) | |||||||
\(228\) | −3.72215e6 | − | 6.44696e6i | −0.0207980 | − | 0.0360232i | ||||
\(229\) | −1.58555e8 | − | 2.74625e8i | −0.872479 | − | 1.51118i | −0.859424 | − | 0.511263i | \(-0.829178\pi\) |
−0.0130546 | − | 0.999915i | \(-0.504156\pi\) | |||||||
\(230\) | 5.94703e7 | + | 1.03006e8i | 0.322294 | + | 0.558230i | ||||
\(231\) | −7.65001e7 | −0.408338 | ||||||||
\(232\) | −7.07072e7 | − | 1.22468e8i | −0.371754 | − | 0.643897i | ||||
\(233\) | −1.18058e8 | − | 2.04482e8i | −0.611434 | − | 1.05903i | −0.990999 | − | 0.133870i | \(-0.957260\pi\) |
0.379565 | − | 0.925165i | \(-0.376074\pi\) | |||||||
\(234\) | 4.78005e7 | − | 8.27929e7i | 0.243880 | − | 0.422413i | ||||
\(235\) | 6.70841e7 | − | 1.16193e8i | 0.337196 | − | 0.584040i | ||||
\(236\) | 5.10637e6 | 0.0252883 | ||||||||
\(237\) | 8.02311e7 | 0.391493 | ||||||||
\(238\) | −1.22284e8 | + | 2.11802e8i | −0.587964 | + | 1.01838i | ||||
\(239\) | −4.19494e7 | + | 7.26585e7i | −0.198762 | + | 0.344266i | −0.948127 | − | 0.317891i | \(-0.897025\pi\) |
0.749365 | + | 0.662157i | \(0.230359\pi\) | |||||||
\(240\) | −3.01938e7 | − | 5.22971e7i | −0.140987 | − | 0.244196i | ||||
\(241\) | −1.35866e8 | − | 2.35327e8i | −0.625247 | − | 1.08296i | −0.988493 | − | 0.151266i | \(-0.951665\pi\) |
0.363246 | − | 0.931693i | \(-0.381668\pi\) | |||||||
\(242\) | −1.30816e8 | −0.593343 | ||||||||
\(243\) | −7.79249e7 | − | 1.34970e8i | −0.348381 | − | 0.603414i | ||||
\(244\) | −252185. | − | 436797.i | −0.00111136 | − | 0.00192493i | ||||
\(245\) | −1.39683e7 | − | 2.41938e7i | −0.0606822 | − | 0.105105i | ||||
\(246\) | 1.68912e8 | − | 2.92564e8i | 0.723415 | − | 1.25299i | ||||
\(247\) | −3.56874e8 | −1.50687 | ||||||||
\(248\) | −3.38371e7 | + | 5.86075e7i | −0.140868 | + | 0.243990i | ||||
\(249\) | −6.08021e7 | − | 1.05312e8i | −0.249586 | − | 0.432296i | ||||
\(250\) | 1.67692e8 | 0.678770 | ||||||||
\(251\) | 2.78091e7 | + | 4.81667e7i | 0.111001 | + | 0.192260i | 0.916174 | − | 0.400780i | \(-0.131261\pi\) |
−0.805173 | + | 0.593040i | \(0.797928\pi\) | |||||||
\(252\) | −1.81434e6 | + | 3.14252e6i | −0.00714193 | + | 0.0123702i | ||||
\(253\) | 1.42498e8 | − | 2.46813e8i | 0.553204 | − | 0.958178i | ||||
\(254\) | −9.20225e7 | −0.352351 | ||||||||
\(255\) | 5.75468e7 | − | 9.96739e7i | 0.217335 | − | 0.376436i | ||||
\(256\) | −3.77012e7 | −0.140448 | ||||||||
\(257\) | −1.22993e8 | −0.451974 | −0.225987 | − | 0.974130i | \(-0.572561\pi\) | ||||
−0.225987 | + | 0.974130i | \(0.572561\pi\) | |||||||
\(258\) | −1.71580e8 | − | 1.27341e8i | −0.622009 | − | 0.461635i | ||||
\(259\) | 6.80082e7 | 0.243227 | ||||||||
\(260\) | 6.70266e6 | 0.0236505 | ||||||||
\(261\) | −3.87043e7 | + | 6.70378e7i | −0.134746 | + | 0.233388i | ||||
\(262\) | −1.18725e8 | −0.407836 | ||||||||
\(263\) | 8.00894e7 | − | 1.38719e8i | 0.271475 | − | 0.470208i | −0.697765 | − | 0.716327i | \(-0.745822\pi\) |
0.969240 | + | 0.246119i | \(0.0791552\pi\) | |||||||
\(264\) | −7.59177e7 | + | 1.31493e8i | −0.253939 | + | 0.439835i | ||||
\(265\) | −1.59008e7 | − | 2.75409e7i | −0.0524877 | − | 0.0909113i | ||||
\(266\) | −2.75146e8 | −0.896349 | ||||||||
\(267\) | 1.85274e8 | + | 3.20904e8i | 0.595697 | + | 1.03178i | ||||
\(268\) | 3.61669e6 | − | 6.26429e6i | 0.0114773 | − | 0.0198793i | ||||
\(269\) | 1.54462e8 | 0.483825 | 0.241913 | − | 0.970298i | \(-0.422225\pi\) | ||||
0.241913 | + | 0.970298i | \(0.422225\pi\) | |||||||
\(270\) | −6.41589e7 | + | 1.11127e8i | −0.198374 | + | 0.343593i | ||||
\(271\) | −2.01138e8 | − | 3.48382e8i | −0.613906 | − | 1.06332i | −0.990575 | − | 0.136969i | \(-0.956264\pi\) |
0.376669 | − | 0.926348i | \(-0.377069\pi\) | |||||||
\(272\) | 2.31293e8 | + | 4.00611e8i | 0.696902 | + | 1.20707i | ||||
\(273\) | −1.47806e8 | − | 2.56008e8i | −0.439667 | − | 0.761526i | ||||
\(274\) | 2.91631e8 | 0.856461 | ||||||||
\(275\) | −9.29098e7 | − | 1.60925e8i | −0.269400 | − | 0.466614i | ||||
\(276\) | 1.14862e7 | + | 1.98947e7i | 0.0328848 | + | 0.0569582i | ||||
\(277\) | 1.30297e7 | − | 2.25681e7i | 0.0368346 | − | 0.0637994i | −0.847020 | − | 0.531560i | \(-0.821606\pi\) |
0.883855 | + | 0.467761i | \(0.154939\pi\) | |||||||
\(278\) | 2.76107e8 | − | 4.78231e8i | 0.770762 | − | 1.33500i | ||||
\(279\) | 3.70440e7 | 0.102118 | ||||||||
\(280\) | 1.15303e8 | 0.313898 | ||||||||
\(281\) | −2.77479e8 | + | 4.80608e8i | −0.746034 | + | 1.29217i | 0.203676 | + | 0.979038i | \(0.434711\pi\) |
−0.949710 | + | 0.313131i | \(0.898622\pi\) | |||||||
\(282\) | −2.63184e8 | + | 4.55848e8i | −0.698855 | + | 1.21045i | ||||
\(283\) | 3.76405e7 | + | 6.51952e7i | 0.0987194 | + | 0.170987i | 0.911155 | − | 0.412064i | \(-0.135192\pi\) |
−0.812435 | + | 0.583051i | \(0.801859\pi\) | |||||||
\(284\) | 1.73938e7 | + | 3.01270e7i | 0.0450590 | + | 0.0780444i | ||||
\(285\) | 1.29483e8 | 0.331327 | ||||||||
\(286\) | 1.63112e8 | + | 2.82519e8i | 0.412293 | + | 0.714112i | ||||
\(287\) | 3.07352e8 | + | 5.32350e8i | 0.767450 | + | 1.32926i | ||||
\(288\) | 7.04070e6 | + | 1.21948e7i | 0.0173677 | + | 0.0300817i | ||||
\(289\) | −2.35656e8 | + | 4.08168e8i | −0.574296 | + | 0.994710i | ||||
\(290\) | 1.10239e8 | 0.265426 | ||||||||
\(291\) | −4.68673e6 | + | 8.11765e6i | −0.0111492 | + | 0.0193110i | ||||
\(292\) | 1.02932e7 | + | 1.78283e7i | 0.0241941 | + | 0.0419055i | ||||
\(293\) | −1.35586e8 | −0.314903 | −0.157452 | − | 0.987527i | \(-0.550328\pi\) | ||||
−0.157452 | + | 0.987527i | \(0.550328\pi\) | |||||||
\(294\) | 5.48002e7 | + | 9.49168e7i | 0.125767 | + | 0.217835i | ||||
\(295\) | −4.44091e7 | + | 7.69189e7i | −0.100715 | + | 0.174444i | ||||
\(296\) | 6.74904e7 | − | 1.16897e8i | 0.151259 | − | 0.261988i | ||||
\(297\) | 3.07464e8 | 0.680999 | ||||||||
\(298\) | 8.90914e7 | − | 1.54311e8i | 0.195020 | − | 0.337784i | ||||
\(299\) | 1.10128e9 | 2.38259 | ||||||||
\(300\) | 1.49783e7 | 0.0320286 | ||||||||
\(301\) | 3.56770e8 | − | 1.54524e8i | 0.754059 | − | 0.326598i | ||||
\(302\) | 3.75604e8 | 0.784705 | ||||||||
\(303\) | 4.62621e8 | 0.955380 | ||||||||
\(304\) | −2.60211e8 | + | 4.50698e8i | −0.531212 | + | 0.920086i | ||||
\(305\) | 8.77281e6 | 0.0177047 | ||||||||
\(306\) | 1.32855e8 | − | 2.30111e8i | 0.265064 | − | 0.459105i | ||||
\(307\) | 9.06111e7 | − | 1.56943e8i | 0.178730 | − | 0.309569i | −0.762716 | − | 0.646734i | \(-0.776135\pi\) |
0.941446 | + | 0.337165i | \(0.109468\pi\) | |||||||
\(308\) | −6.19116e6 | − | 1.07234e7i | −0.0120738 | − | 0.0209125i | ||||
\(309\) | −6.91928e8 | −1.33415 | ||||||||
\(310\) | −2.63776e7 | − | 4.56873e7i | −0.0502886 | − | 0.0871024i | ||||
\(311\) | −2.18761e8 | + | 3.78904e8i | −0.412390 | + | 0.714280i | −0.995151 | − | 0.0983640i | \(-0.968639\pi\) |
0.582761 | + | 0.812644i | \(0.301972\pi\) | |||||||
\(312\) | −5.86724e8 | −1.09369 | ||||||||
\(313\) | −1.84956e8 | + | 3.20353e8i | −0.340928 | + | 0.590505i | −0.984605 | − | 0.174792i | \(-0.944075\pi\) |
0.643677 | + | 0.765297i | \(0.277408\pi\) | |||||||
\(314\) | −1.08760e8 | − | 1.88379e8i | −0.198252 | − | 0.343382i | ||||
\(315\) | −3.15579e7 | − | 5.46598e7i | −0.0568880 | − | 0.0985329i | ||||
\(316\) | 6.49311e6 | + | 1.12464e7i | 0.0115757 | + | 0.0200497i | ||||
\(317\) | −9.16005e7 | −0.161507 | −0.0807534 | − | 0.996734i | \(-0.525733\pi\) | ||||
−0.0807534 | + | 0.996734i | \(0.525733\pi\) | |||||||
\(318\) | 6.23817e7 | + | 1.08048e8i | 0.108783 | + | 0.188418i | ||||
\(319\) | −1.32073e8 | − | 2.28757e8i | −0.227796 | − | 0.394554i | ||||
\(320\) | 1.14184e8 | − | 1.97773e8i | 0.194797 | − | 0.337398i | ||||
\(321\) | 1.44018e8 | − | 2.49447e8i | 0.243024 | − | 0.420931i | ||||
\(322\) | 8.49075e8 | 1.41726 | ||||||||
\(323\) | −9.91880e8 | −1.63776 | ||||||||
\(324\) | −7.07091e6 | + | 1.22472e7i | −0.0115496 | + | 0.0200045i | ||||
\(325\) | 3.59024e8 | − | 6.21847e8i | 0.580138 | − | 1.00483i | ||||
\(326\) | −2.22103e8 | − | 3.84694e8i | −0.355053 | − | 0.614969i | ||||
\(327\) | −3.14356e6 | − | 5.44480e6i | −0.00497169 | − | 0.00861122i | ||||
\(328\) | 1.22005e9 | 1.90906 | ||||||||
\(329\) | −4.78890e8 | − | 8.29461e8i | −0.741395 | − | 1.28413i | ||||
\(330\) | −5.91814e7 | − | 1.02505e8i | −0.0906539 | − | 0.157017i | ||||
\(331\) | 1.13223e8 | + | 1.96108e8i | 0.171608 | + | 0.297233i | 0.938982 | − | 0.343966i | \(-0.111771\pi\) |
−0.767374 | + | 0.641199i | \(0.778437\pi\) | |||||||
\(332\) | 9.84144e6 | − | 1.70459e7i | 0.0147596 | − | 0.0255644i | ||||
\(333\) | −7.38869e7 | −0.109651 | ||||||||
\(334\) | −5.81531e8 | + | 1.00724e9i | −0.854005 | + | 1.47918i | ||||
\(335\) | 6.29073e7 | + | 1.08959e8i | 0.0914206 | + | 0.158345i | ||||
\(336\) | −4.31085e8 | −0.619977 | ||||||||
\(337\) | 2.72754e8 | + | 4.72424e8i | 0.388210 | + | 0.672399i | 0.992209 | − | 0.124586i | \(-0.0397602\pi\) |
−0.603999 | + | 0.796985i | \(0.706427\pi\) | |||||||
\(338\) | −2.83769e8 | + | 4.91503e8i | −0.399721 | + | 0.692337i | ||||
\(339\) | 3.20514e7 | − | 5.55146e7i | 0.0446835 | − | 0.0773942i | ||||
\(340\) | 1.86291e7 | 0.0257048 | ||||||||
\(341\) | −6.32037e7 | + | 1.09472e8i | −0.0863181 | + | 0.149507i | ||||
\(342\) | 2.98930e8 | 0.404090 | ||||||||
\(343\) | −8.13571e8 | −1.08859 | ||||||||
\(344\) | 8.84481e7 | − | 7.66587e8i | 0.117148 | − | 1.01533i | ||||
\(345\) | −3.99574e8 | −0.523878 | ||||||||
\(346\) | −9.02906e8 | −1.17186 | ||||||||
\(347\) | 6.34249e8 | − | 1.09855e9i | 0.814905 | − | 1.41146i | −0.0944914 | − | 0.995526i | \(-0.530122\pi\) |
0.909396 | − | 0.415931i | \(-0.136544\pi\) | |||||||
\(348\) | 2.12918e7 | 0.0270823 | ||||||||
\(349\) | −5.70035e8 | + | 9.87330e8i | −0.717815 | + | 1.24329i | 0.244048 | + | 0.969763i | \(0.421524\pi\) |
−0.961864 | + | 0.273529i | \(0.911809\pi\) | |||||||
\(350\) | 2.76803e8 | − | 4.79437e8i | 0.345090 | − | 0.597713i | ||||
\(351\) | 5.94053e8 | + | 1.02893e9i | 0.733248 | + | 1.27002i | ||||
\(352\) | −4.80507e7 | −0.0587220 | ||||||||
\(353\) | −3.62048e8 | − | 6.27085e8i | −0.438081 | − | 0.758779i | 0.559460 | − | 0.828857i | \(-0.311008\pi\) |
−0.997541 | + | 0.0700784i | \(0.977675\pi\) | |||||||
\(354\) | 1.74226e8 | − | 3.01767e8i | 0.208737 | − | 0.361544i | ||||
\(355\) | −6.05083e8 | −0.717821 | ||||||||
\(356\) | −2.99885e7 | + | 5.19417e7i | −0.0352274 | + | 0.0610156i | ||||
\(357\) | −4.10806e8 | − | 7.11537e8i | −0.477857 | − | 0.827673i | ||||
\(358\) | 4.88924e8 | + | 8.46842e8i | 0.563185 | + | 0.975465i | ||||
\(359\) | 6.82146e8 | + | 1.18151e9i | 0.778120 | + | 1.34774i | 0.933024 | + | 0.359814i | \(0.117160\pi\) |
−0.154904 | + | 0.987930i | \(0.549507\pi\) | |||||||
\(360\) | −1.25270e8 | −0.141511 | ||||||||
\(361\) | −1.11010e8 | − | 1.92275e8i | −0.124190 | − | 0.215103i | ||||
\(362\) | −4.92006e8 | − | 8.52180e8i | −0.545118 | − | 0.944172i | ||||
\(363\) | 2.19734e8 | − | 3.80590e8i | 0.241115 | − | 0.417623i | ||||
\(364\) | 2.39240e7 | − | 4.14375e7i | 0.0260003 | − | 0.0450339i | ||||
\(365\) | −3.58071e8 | −0.385429 | ||||||||
\(366\) | −3.44174e7 | −0.0366940 | ||||||||
\(367\) | −3.30814e8 | + | 5.72987e8i | −0.349343 | + | 0.605081i | −0.986133 | − | 0.165957i | \(-0.946929\pi\) |
0.636790 | + | 0.771038i | \(0.280262\pi\) | |||||||
\(368\) | 8.02988e8 | − | 1.39082e9i | 0.839927 | − | 1.45480i | ||||
\(369\) | −3.33920e8 | − | 5.78367e8i | −0.345980 | − | 0.599254i | ||||
\(370\) | 5.26120e7 | + | 9.11266e7i | 0.0539981 | + | 0.0935274i | ||||
\(371\) | −2.27020e8 | −0.230810 | ||||||||
\(372\) | −5.09463e6 | − | 8.82415e6i | −0.00513112 | − | 0.00888736i | ||||
\(373\) | −7.02768e8 | − | 1.21723e9i | −0.701182 | − | 1.21448i | −0.968052 | − | 0.250750i | \(-0.919323\pi\) |
0.266870 | − | 0.963733i | \(-0.414011\pi\) | |||||||
\(374\) | 4.53347e8 | + | 7.85220e8i | 0.448105 | + | 0.776141i | ||||
\(375\) | −2.81676e8 | + | 4.87877e8i | −0.275829 | + | 0.477750i | ||||
\(376\) | −1.90098e9 | −1.84425 | ||||||||
\(377\) | 5.10357e8 | − | 8.83965e8i | 0.490546 | − | 0.849651i | ||||
\(378\) | 4.58008e8 | + | 7.93293e8i | 0.436166 | + | 0.755462i | ||||
\(379\) | 1.61314e9 | 1.52207 | 0.761036 | − | 0.648710i | \(-0.224691\pi\) | ||||
0.761036 | + | 0.648710i | \(0.224691\pi\) | |||||||
\(380\) | 1.04791e7 | + | 1.81503e7i | 0.00979673 | + | 0.0169684i | ||||
\(381\) | 1.54572e8 | − | 2.67727e8i | 0.143184 | − | 0.248001i | ||||
\(382\) | −1.81877e8 | + | 3.15021e8i | −0.166939 | + | 0.289146i | ||||
\(383\) | 3.68576e7 | 0.0335221 | 0.0167610 | − | 0.999860i | \(-0.494665\pi\) | ||||
0.0167610 | + | 0.999860i | \(0.494665\pi\) | |||||||
\(384\) | −4.06694e8 | + | 7.04414e8i | −0.366529 | + | 0.634846i | ||||
\(385\) | 2.15373e8 | 0.192344 | ||||||||
\(386\) | 8.48092e8 | 0.750563 | ||||||||
\(387\) | −3.87610e8 | + | 1.67881e8i | −0.339943 | + | 0.147236i | ||||
\(388\) | −1.51719e6 | −0.00131865 | ||||||||
\(389\) | −1.28154e9 | −1.10385 | −0.551924 | − | 0.833895i | \(-0.686106\pi\) | ||||
−0.551924 | + | 0.833895i | \(0.686106\pi\) | |||||||
\(390\) | 2.28690e8 | − | 3.96102e8i | 0.195218 | − | 0.338128i | ||||
\(391\) | 3.06085e9 | 2.58955 | ||||||||
\(392\) | −1.97911e8 | + | 3.42792e8i | −0.165947 | + | 0.287428i | ||||
\(393\) | 1.99424e8 | − | 3.45413e8i | 0.165731 | − | 0.287054i | ||||
\(394\) | 4.06589e8 | + | 7.04233e8i | 0.334903 | + | 0.580069i | ||||
\(395\) | −2.25877e8 | −0.184409 | ||||||||
\(396\) | 6.72633e6 | + | 1.16504e7i | 0.00544309 | + | 0.00942770i | ||||
\(397\) | −8.21431e8 | + | 1.42276e9i | −0.658877 | + | 1.14121i | 0.322029 | + | 0.946730i | \(0.395635\pi\) |
−0.980907 | + | 0.194479i | \(0.937698\pi\) | |||||||
\(398\) | 8.87066e8 | 0.705286 | ||||||||
\(399\) | 4.62168e8 | − | 8.00498e8i | 0.364246 | − | 0.630892i | ||||
\(400\) | −5.23556e8 | − | 9.06826e8i | −0.409028 | − | 0.708458i | ||||
\(401\) | −5.31697e8 | − | 9.20927e8i | −0.411774 | − | 0.713214i | 0.583310 | − | 0.812250i | \(-0.301757\pi\) |
−0.995084 | + | 0.0990361i | \(0.968424\pi\) | |||||||
\(402\) | −2.46797e8 | − | 4.27466e8i | −0.189474 | − | 0.328178i | ||||
\(403\) | −4.88465e8 | −0.371763 | ||||||||
\(404\) | 3.74400e7 | + | 6.48480e7i | 0.0282489 | + | 0.0489285i | ||||
\(405\) | −1.22989e8 | − | 2.13023e8i | −0.0919968 | − | 0.159343i | ||||
\(406\) | 3.93479e8 | − | 6.81526e8i | 0.291797 | − | 0.505407i | ||||
\(407\) | 1.26064e8 | − | 2.18350e8i | 0.0926854 | − | 0.160536i | ||||
\(408\) | −1.63071e9 | −1.18869 | ||||||||
\(409\) | 2.39333e8 | 0.172970 | 0.0864849 | − | 0.996253i | \(-0.472437\pi\) | ||||
0.0864849 | + | 0.996253i | \(0.472437\pi\) | |||||||
\(410\) | −4.75543e8 | + | 8.23665e8i | −0.340758 | + | 0.590211i | ||||
\(411\) | −4.89859e8 | + | 8.48461e8i | −0.348037 | + | 0.602817i | ||||
\(412\) | −5.59978e7 | − | 9.69910e7i | −0.0394485 | − | 0.0683268i | ||||
\(413\) | 3.17021e8 | + | 5.49097e8i | 0.221444 | + | 0.383552i | ||||
\(414\) | −9.22471e8 | −0.638927 | ||||||||
\(415\) | 1.71178e8 | + | 2.96489e8i | 0.117566 | + | 0.203629i | ||||
\(416\) | −9.28392e7 | − | 1.60802e8i | −0.0632273 | − | 0.109513i | ||||
\(417\) | 9.27565e8 | + | 1.60659e9i | 0.626424 | + | 1.08500i | ||||
\(418\) | −5.10027e8 | + | 8.83393e8i | −0.341567 | + | 0.591612i | ||||
\(419\) | −8.51849e8 | −0.565736 | −0.282868 | − | 0.959159i | \(-0.591286\pi\) | ||||
−0.282868 | + | 0.959159i | \(0.591286\pi\) | |||||||
\(420\) | −8.68024e6 | + | 1.50346e7i | −0.00571688 | + | 0.00990193i | ||||
\(421\) | −8.98651e8 | − | 1.55651e9i | −0.586954 | − | 1.01663i | −0.994629 | − | 0.103507i | \(-0.966994\pi\) |
0.407675 | − | 0.913127i | \(-0.366340\pi\) | |||||||
\(422\) | 8.27778e8 | 0.536192 | ||||||||
\(423\) | 5.20286e8 | + | 9.01161e8i | 0.334234 | + | 0.578910i | ||||
\(424\) | −2.25292e8 | + | 3.90216e8i | −0.143537 | + | 0.248614i | ||||
\(425\) | 9.97854e8 | − | 1.72833e9i | 0.630530 | − | 1.09211i | ||||
\(426\) | 2.37386e9 | 1.48772 | ||||||||
\(427\) | 3.13130e7 | − | 5.42357e7i | 0.0194638 | − | 0.0337123i | ||||
\(428\) | 4.66217e7 | 0.0287432 | ||||||||
\(429\) | −1.09593e9 | −0.670167 | ||||||||
\(430\) | 4.83054e8 | + | 3.58507e8i | 0.292992 | + | 0.217450i | ||||
\(431\) | −5.71866e8 | −0.344052 | −0.172026 | − | 0.985092i | \(-0.555031\pi\) | ||||
−0.172026 | + | 0.985092i | \(0.555031\pi\) | |||||||
\(432\) | 1.73259e9 | 1.03396 | ||||||||
\(433\) | 2.72097e8 | − | 4.71285e8i | 0.161070 | − | 0.278982i | −0.774182 | − | 0.632963i | \(-0.781839\pi\) |
0.935253 | + | 0.353980i | \(0.115172\pi\) | |||||||
\(434\) | −3.76601e8 | −0.221140 | ||||||||
\(435\) | −1.85171e8 | + | 3.20726e8i | −0.107860 | + | 0.186819i | ||||
\(436\) | 508817. | − | 881296.i | 0.000294008 | − | 0.000509236i | ||||
\(437\) | 1.72177e9 | + | 2.98219e9i | 0.986939 | + | 1.70943i | ||||
\(438\) | 1.40478e9 | 0.798822 | ||||||||
\(439\) | −9.16116e8 | − | 1.58676e9i | −0.516803 | − | 0.895128i | −0.999810 | − | 0.0195119i | \(-0.993789\pi\) |
0.483007 | − | 0.875616i | \(-0.339545\pi\) | |||||||
\(440\) | 2.13734e8 | − | 3.70197e8i | 0.119616 | − | 0.207181i | ||||
\(441\) | 2.16668e8 | 0.120298 | ||||||||
\(442\) | −1.75183e9 | + | 3.03426e9i | −0.964970 | + | 1.67138i | ||||
\(443\) | −3.00511e8 | − | 5.20500e8i | −0.164228 | − | 0.284451i | 0.772153 | − | 0.635437i | \(-0.219180\pi\) |
−0.936381 | + | 0.350986i | \(0.885847\pi\) | |||||||
\(444\) | 1.01616e7 | + | 1.76004e7i | 0.00550962 | + | 0.00954294i | ||||
\(445\) | −5.21609e8 | − | 9.03453e8i | −0.280598 | − | 0.486010i | ||||
\(446\) | 1.67554e9 | 0.894299 | ||||||||
\(447\) | 2.99297e8 | + | 5.18398e8i | 0.158499 | + | 0.274528i | ||||
\(448\) | −8.15122e8 | − | 1.41183e9i | −0.428302 | − | 0.741840i | ||||
\(449\) | −4.19636e8 | + | 7.26831e8i | −0.218782 | + | 0.378941i | −0.954436 | − | 0.298416i | \(-0.903542\pi\) |
0.735654 | + | 0.677357i | \(0.236875\pi\) | |||||||
\(450\) | −3.00730e8 | + | 5.20880e8i | −0.155573 | + | 0.269460i | ||||
\(451\) | 2.27891e9 | 1.16979 | ||||||||
\(452\) | 1.03757e7 | 0.00528484 | ||||||||
\(453\) | −6.30910e8 | + | 1.09277e9i | −0.318878 | + | 0.552312i | ||||
\(454\) | −1.30091e9 | + | 2.25325e9i | −0.652458 | + | 1.13009i | ||||
\(455\) | 4.16124e8 | + | 7.20748e8i | 0.207101 | + | 0.358710i | ||||
\(456\) | −9.17299e8 | − | 1.58881e9i | −0.453037 | − | 0.784683i | ||||
\(457\) | 2.48808e9 | 1.21943 | 0.609715 | − | 0.792620i | \(-0.291284\pi\) | ||||
0.609715 | + | 0.792620i | \(0.291284\pi\) | |||||||
\(458\) | −1.75125e9 | − | 3.03326e9i | −0.851764 | − | 1.47530i | ||||
\(459\) | 1.65108e9 | + | 2.85976e9i | 0.796939 | + | 1.38034i | ||||
\(460\) | −3.23376e7 | − | 5.60103e7i | −0.0154901 | − | 0.0268297i | ||||
\(461\) | 1.95907e9 | − | 3.39321e9i | 0.931315 | − | 1.61308i | 0.150238 | − | 0.988650i | \(-0.451996\pi\) |
0.781077 | − | 0.624435i | \(-0.214671\pi\) | |||||||
\(462\) | −8.44951e8 | −0.398643 | ||||||||
\(463\) | −2.00052e9 | + | 3.46500e9i | −0.936719 | + | 1.62245i | −0.165180 | + | 0.986263i | \(0.552821\pi\) |
−0.771539 | + | 0.636182i | \(0.780513\pi\) | |||||||
\(464\) | −7.44243e8 | − | 1.28907e9i | −0.345861 | − | 0.599049i | ||||
\(465\) | 1.77228e8 | 0.0817423 | ||||||||
\(466\) | −1.30396e9 | − | 2.25853e9i | −0.596917 | − | 1.03389i | ||||
\(467\) | −1.36969e9 | + | 2.37237e9i | −0.622319 | + | 1.07789i | 0.366734 | + | 0.930326i | \(0.380476\pi\) |
−0.989053 | + | 0.147562i | \(0.952857\pi\) | |||||||
\(468\) | −2.59920e7 | + | 4.50195e7i | −0.0117214 | + | 0.0203020i | ||||
\(469\) | 8.98146e8 | 0.402015 | ||||||||
\(470\) | 7.40950e8 | − | 1.28336e9i | 0.329190 | − | 0.570174i | ||||
\(471\) | 7.30749e8 | 0.322252 | ||||||||
\(472\) | 1.25843e9 | 0.550848 | ||||||||
\(473\) | 1.65211e8 | − | 1.43189e9i | 0.0717835 | − | 0.622153i | ||||
\(474\) | 8.86160e8 | 0.382198 | ||||||||
\(475\) | 2.24522e9 | 0.961240 | ||||||||
\(476\) | 6.64932e7 | − | 1.15170e8i | 0.0282587 | − | 0.0489456i | ||||
\(477\) | 2.46644e8 | 0.104053 | ||||||||
\(478\) | −4.63335e8 | + | 8.02520e8i | −0.194043 | + | 0.336092i | ||||
\(479\) | 4.69951e8 | − | 8.13980e8i | 0.195379 | − | 0.338407i | −0.751645 | − | 0.659567i | \(-0.770740\pi\) |
0.947025 | + | 0.321160i | \(0.104073\pi\) | |||||||
\(480\) | 3.36845e7 | + | 5.83432e7i | 0.0139023 | + | 0.0240794i | ||||
\(481\) | 9.74278e8 | 0.399186 | ||||||||
\(482\) | −1.50065e9 | − | 2.59921e9i | −0.610402 | − | 1.05725i | ||||
\(483\) | −1.42621e9 | + | 2.47027e9i | −0.575928 | + | 0.997537i | ||||
\(484\) | 7.11323e7 | 0.0285173 | ||||||||
\(485\) | 1.31947e7 | − | 2.28539e7i | 0.00525174 | − | 0.00909629i | ||||
\(486\) | −8.60688e8 | − | 1.49076e9i | −0.340110 | − | 0.589087i | ||||
\(487\) | 1.37796e9 | + | 2.38669e9i | 0.540610 | + | 0.936364i | 0.998869 | + | 0.0475455i | \(0.0151399\pi\) |
−0.458259 | + | 0.888819i | \(0.651527\pi\) | |||||||
\(488\) | −6.21492e7 | − | 1.07646e8i | −0.0242084 | − | 0.0419302i | ||||
\(489\) | 1.49228e9 | 0.577126 | ||||||||
\(490\) | −1.54281e8 | − | 2.67222e8i | −0.0592415 | − | 0.102609i | ||||
\(491\) | −1.08341e9 | − | 1.87653e9i | −0.413056 | − | 0.715434i | 0.582166 | − | 0.813070i | \(-0.302205\pi\) |
−0.995222 | + | 0.0976359i | \(0.968872\pi\) | |||||||
\(492\) | −9.18475e7 | + | 1.59085e8i | −0.0347688 | + | 0.0602213i | ||||
\(493\) | 1.41846e9 | − | 2.45685e9i | 0.533156 | − | 0.923453i | ||||
\(494\) | −3.94171e9 | −1.47109 | ||||||||
\(495\) | −2.33990e8 | −0.0867121 | ||||||||
\(496\) | −3.56159e8 | + | 6.16885e8i | −0.131056 | + | 0.226996i | ||||
\(497\) | −2.15974e9 | + | 3.74078e9i | −0.789140 | + | 1.36683i | ||||
\(498\) | −6.71565e8 | − | 1.16318e9i | −0.243660 | − | 0.422032i | ||||
\(499\) | 1.14778e8 | + | 1.98801e8i | 0.0413528 | + | 0.0716252i | 0.885961 | − | 0.463760i | \(-0.153500\pi\) |
−0.844608 | + | 0.535385i | \(0.820167\pi\) | |||||||
\(500\) | −9.11843e7 | −0.0326231 | ||||||||
\(501\) | −1.95362e9 | − | 3.38377e9i | −0.694077 | − | 1.20218i | ||||
\(502\) | 3.07154e8 | + | 5.32006e8i | 0.108366 | + | 0.187695i | ||||
\(503\) | 1.13680e9 | + | 1.96900e9i | 0.398288 | + | 0.689855i | 0.993515 | − | 0.113703i | \(-0.0362711\pi\) |
−0.595227 | + | 0.803558i | \(0.702938\pi\) | |||||||
\(504\) | −4.47131e8 | + | 7.74453e8i | −0.155571 | + | 0.269456i | ||||
\(505\) | −1.30243e9 | −0.450024 | ||||||||
\(506\) | 1.57390e9 | − | 2.72607e9i | 0.540070 | − | 0.935429i | ||||
\(507\) | −9.53307e8 | − | 1.65118e9i | −0.324866 | − | 0.562685i | ||||
\(508\) | 5.00381e7 | 0.0169347 | ||||||||
\(509\) | −2.33727e7 | − | 4.04827e7i | −0.00785591 | − | 0.0136068i | 0.862071 | − | 0.506788i | \(-0.169167\pi\) |
−0.869927 | + | 0.493181i | \(0.835834\pi\) | |||||||
\(510\) | 6.35610e8 | − | 1.10091e9i | 0.212175 | − | 0.367498i | ||||
\(511\) | −1.27807e9 | + | 2.21369e9i | −0.423724 | + | 0.733911i | ||||
\(512\) | −3.22230e9 | −1.06102 | ||||||||
\(513\) | −1.85751e9 | + | 3.21731e9i | −0.607465 | + | 1.05216i | ||||
\(514\) | −1.35847e9 | −0.441244 | ||||||||
\(515\) | 1.94801e9 | 0.628442 | ||||||||
\(516\) | 9.32981e7 | + | 6.92429e7i | 0.0298950 | + | 0.0221871i | ||||
\(517\) | −3.55080e9 | −1.13008 | ||||||||
\(518\) | 7.51157e8 | 0.237452 | ||||||||
\(519\) | 1.51663e9 | − | 2.62688e9i | 0.476205 | − | 0.824811i | ||||
\(520\) | 1.65182e9 | 0.515172 | ||||||||
\(521\) | −8.49681e8 | + | 1.47169e9i | −0.263223 | + | 0.455916i | −0.967097 | − | 0.254410i | \(-0.918119\pi\) |
0.703873 | + | 0.710325i | \(0.251452\pi\) | |||||||
\(522\) | −4.27492e8 | + | 7.40438e8i | −0.131547 | + | 0.227846i | ||||
\(523\) | −3.08663e9 | − | 5.34621e9i | −0.943472 | − | 1.63414i | −0.758782 | − | 0.651345i | \(-0.774205\pi\) |
−0.184690 | − | 0.982797i | \(-0.559128\pi\) | |||||||
\(524\) | 6.45576e7 | 0.0196014 | ||||||||
\(525\) | 9.29903e8 | + | 1.61064e9i | 0.280466 | + | 0.485781i | ||||
\(526\) | 8.84595e8 | − | 1.53216e9i | 0.265030 | − | 0.459045i | ||||
\(527\) | −1.35762e9 | −0.404055 | ||||||||
\(528\) | −7.99087e8 | + | 1.38406e9i | −0.236252 | + | 0.409200i | ||||
\(529\) | −3.61082e9 | − | 6.25412e9i | −1.06050 | − | 1.83684i | ||||
\(530\) | −1.75625e8 | − | 3.04192e8i | −0.0512415 | − | 0.0887529i | ||||
\(531\) | −3.44425e8 | − | 5.96561e8i | −0.0998306 | − | 0.172912i | ||||
\(532\) | 1.49613e8 | 0.0430804 | ||||||||
\(533\) | 4.40310e9 | + | 7.62639e9i | 1.25954 | + | 2.18159i | ||||
\(534\) | 2.04637e9 | + | 3.54442e9i | 0.581554 | + | 1.00728i | ||||
\(535\) | −4.05459e8 | + | 7.02276e8i | −0.114475 | + | 0.198276i | ||||
\(536\) | 8.91308e8 | − | 1.54379e9i | 0.250006 | − | 0.433024i | ||||
\(537\) | −3.28503e9 | −0.915438 | ||||||||
\(538\) | 1.70605e9 | 0.472338 | ||||||||
\(539\) | −3.69675e8 | + | 6.40295e8i | −0.101685 | + | 0.176124i | ||||
\(540\) | 3.48870e7 | − | 6.04261e7i | 0.00953424 | − | 0.0165138i | ||||
\(541\) | −2.98841e9 | − | 5.17608e9i | −0.811428 | − | 1.40543i | −0.911865 | − | 0.410491i | \(-0.865357\pi\) |
0.100437 | − | 0.994943i | \(-0.467976\pi\) | |||||||
\(542\) | −2.22159e9 | − | 3.84791e9i | −0.599331 | − | 1.03807i | ||||
\(543\) | 3.30573e9 | 0.886071 | ||||||||
\(544\) | −2.58033e8 | − | 4.46926e8i | −0.0687194 | − | 0.119025i | ||||
\(545\) | 8.85016e6 | + | 1.53289e7i | 0.00234187 | + | 0.00405624i | ||||
\(546\) | −1.63254e9 | − | 2.82763e9i | −0.429228 | − | 0.743445i | ||||
\(547\) | 3.21128e9 | − | 5.56210e9i | 0.838923 | − | 1.45306i | −0.0518724 | − | 0.998654i | \(-0.516519\pi\) |
0.890796 | − | 0.454404i | \(-0.150148\pi\) | |||||||
\(548\) | −1.58578e8 | −0.0411632 | ||||||||
\(549\) | −3.40198e7 | + | 5.89240e7i | −0.00877461 | + | 0.0151981i | ||||
\(550\) | −1.02620e9 | − | 1.77743e9i | −0.263004 | − | 0.455536i | ||||
\(551\) | 3.19162e9 | 0.812794 | ||||||||
\(552\) | 2.83070e9 | + | 4.90292e9i | 0.716320 | + | 1.24070i | ||||
\(553\) | −8.06229e8 | + | 1.39643e9i | −0.202731 | + | 0.351141i | ||||
\(554\) | 1.43915e8 | − | 2.49267e8i | 0.0359601 | − | 0.0622847i | ||||
\(555\) | −3.53494e8 | −0.0877720 | ||||||||
\(556\) | −1.50136e8 | + | 2.60043e8i | −0.0370444 | + | 0.0641628i | ||||
\(557\) | 6.07034e9 | 1.48840 | 0.744200 | − | 0.667957i | \(-0.232831\pi\) | ||||
0.744200 | + | 0.667957i | \(0.232831\pi\) | |||||||
\(558\) | 4.09155e8 | 0.0996937 | ||||||||
\(559\) | 5.11105e9 | − | 2.21369e9i | 1.23757 | − | 0.536014i | ||||
\(560\) | 1.21365e9 | 0.292035 | ||||||||
\(561\) | −3.04598e9 | −0.728379 | ||||||||
\(562\) | −3.06479e9 | + | 5.30837e9i | −0.728322 | + | 1.26149i | ||||
\(563\) | 3.26161e9 | 0.770288 | 0.385144 | − | 0.922856i | \(-0.374152\pi\) | ||||
0.385144 | + | 0.922856i | \(0.374152\pi\) | |||||||
\(564\) | 1.43109e8 | − | 2.47872e8i | 0.0335884 | − | 0.0581768i | ||||
\(565\) | −9.02353e7 | + | 1.56292e8i | −0.0210478 | + | 0.0364559i | ||||
\(566\) | 4.15743e8 | + | 7.20087e8i | 0.0963756 | + | 0.166927i | ||||
\(567\) | −1.75595e9 | −0.404548 | ||||||||
\(568\) | 4.28659e9 | + | 7.42459e9i | 0.981506 | + | 1.70002i | ||||
\(569\) | −1.73473e9 | + | 3.00465e9i | −0.394766 | + | 0.683755i | −0.993071 | − | 0.117513i | \(-0.962508\pi\) |
0.598305 | + | 0.801268i | \(0.295841\pi\) | |||||||
\(570\) | 1.43016e9 | 0.323460 | ||||||||
\(571\) | 2.71842e9 | − | 4.70844e9i | 0.611068 | − | 1.05840i | −0.379992 | − | 0.924990i | \(-0.624073\pi\) |
0.991061 | − | 0.133412i | \(-0.0425932\pi\) | |||||||
\(572\) | −8.86939e7 | − | 1.53622e8i | −0.0198156 | − | 0.0343217i | ||||
\(573\) | −6.11006e8 | − | 1.05829e9i | −0.135676 | − | 0.234999i | ||||
\(574\) | 3.39474e9 | + | 5.87986e9i | 0.749229 | + | 1.29770i | ||||
\(575\) | −6.92856e9 | −1.51987 | ||||||||
\(576\) | 8.85583e8 | + | 1.53387e9i | 0.193086 | + | 0.334434i | ||||
\(577\) | 5.15636e8 | + | 8.93107e8i | 0.111745 | + | 0.193548i | 0.916474 | − | 0.400095i | \(-0.131023\pi\) |
−0.804729 | + | 0.593642i | \(0.797689\pi\) | |||||||
\(578\) | −2.60284e9 | + | 4.50825e9i | −0.560661 | + | 0.971093i | ||||
\(579\) | −1.42456e9 | + | 2.46740e9i | −0.305003 | + | 0.528282i | ||||
\(580\) | −5.99436e7 | −0.0127569 | ||||||||
\(581\) | 2.44396e9 | 0.516985 | ||||||||
\(582\) | −5.17653e7 | + | 8.96602e7i | −0.0108845 | + | 0.0188525i | ||||
\(583\) | −4.20818e8 | + | 7.28879e8i | −0.0879538 | + | 0.152340i | ||||
\(584\) | 2.53669e9 | + | 4.39367e9i | 0.527013 | + | 0.912814i | ||||
\(585\) | −4.52095e8 | − | 7.83051e8i | −0.0933649 | − | 0.161713i | ||||
\(586\) | −1.49756e9 | −0.307427 | ||||||||
\(587\) | 4.76767e6 | + | 8.25784e6i | 0.000972910 | + | 0.00168513i | 0.866511 | − | 0.499157i | \(-0.166357\pi\) |
−0.865539 | + | 0.500842i | \(0.833024\pi\) | |||||||
\(588\) | −2.97982e7 | − | 5.16119e7i | −0.00604462 | − | 0.0104696i | ||||
\(589\) | −7.63678e8 | − | 1.32273e9i | −0.153995 | − | 0.266727i | ||||
\(590\) | −4.90503e8 | + | 8.49576e8i | −0.0983240 | + | 0.170302i | ||||
\(591\) | −2.73183e9 | −0.544373 | ||||||||
\(592\) | 7.10384e8 | − | 1.23042e9i | 0.140724 | − | 0.243741i | ||||
\(593\) | 3.23933e9 | + | 5.61068e9i | 0.637916 | + | 1.10490i | 0.985889 | + | 0.167399i | \(0.0535367\pi\) |
−0.347973 | + | 0.937505i | \(0.613130\pi\) | |||||||
\(594\) | 3.39597e9 | 0.664831 | ||||||||
\(595\) | 1.15656e9 | + | 2.00321e9i | 0.225091 | + | 0.389869i | ||||
\(596\) | −4.84443e7 | + | 8.39080e7i | −0.00937305 | + | 0.0162346i | ||||
\(597\) | −1.49002e9 | + | 2.58080e9i | −0.286604 | + | 0.496414i | ||||
\(598\) | 1.21638e10 | 2.32602 | ||||||||
\(599\) | −1.99194e9 | + | 3.45014e9i | −0.378688 | + | 0.655908i | −0.990872 | − | 0.134808i | \(-0.956958\pi\) |
0.612183 | + | 0.790716i | \(0.290291\pi\) | |||||||
\(600\) | 3.69129e9 | 0.697668 | ||||||||
\(601\) | 5.93997e9 | 1.11615 | 0.558077 | − | 0.829789i | \(-0.311539\pi\) | ||||
0.558077 | + | 0.829789i | \(0.311539\pi\) | |||||||
\(602\) | 3.94056e9 | − | 1.70673e9i | 0.736156 | − | 0.318843i | ||||
\(603\) | −9.75783e8 | −0.181235 | ||||||||
\(604\) | −2.04239e8 | −0.0377145 | ||||||||
\(605\) | −6.18624e8 | + | 1.07149e9i | −0.113575 | + | 0.196718i | ||||
\(606\) | 5.10970e9 | 0.932697 | ||||||||
\(607\) | −3.32807e8 | + | 5.76439e8i | −0.0603993 | + | 0.104615i | −0.894644 | − | 0.446780i | \(-0.852571\pi\) |
0.834245 | + | 0.551394i | \(0.185904\pi\) | |||||||
\(608\) | 2.90294e8 | − | 5.02804e8i | 0.0523812 | − | 0.0907269i | ||||
\(609\) | 1.32187e9 | + | 2.28955e9i | 0.237153 | + | 0.410761i | ||||
\(610\) | 9.68966e7 | 0.0172844 | ||||||||
\(611\) | −6.86053e9 | − | 1.18828e10i | −1.21678 | − | 2.10753i | ||||
\(612\) | −7.22410e7 | + | 1.25125e8i | −0.0127395 | + | 0.0220655i | ||||
\(613\) | −4.44059e9 | −0.778625 | −0.389313 | − | 0.921106i | \(-0.627287\pi\) | ||||
−0.389313 | + | 0.921106i | \(0.627287\pi\) | |||||||
\(614\) | 1.00081e9 | − | 1.73345e9i | 0.174486 | − | 0.302219i | ||||
\(615\) | −1.59756e9 | − | 2.76705e9i | −0.276945 | − | 0.479683i | ||||
\(616\) | −1.52577e9 | − | 2.64271e9i | −0.263000 | − | 0.455530i | ||||
\(617\) | −4.02866e9 | − | 6.97784e9i | −0.690498 | − | 1.19598i | −0.971675 | − | 0.236321i | \(-0.924058\pi\) |
0.281177 | − | 0.959656i | \(-0.409275\pi\) | |||||||
\(618\) | −7.64241e9 | −1.30248 | ||||||||
\(619\) | 1.17104e9 | + | 2.02830e9i | 0.198451 | + | 0.343728i | 0.948026 | − | 0.318192i | \(-0.103075\pi\) |
−0.749575 | + | 0.661919i | \(0.769742\pi\) | |||||||
\(620\) | 1.43431e7 | + | 2.48429e7i | 0.00241697 | + | 0.00418632i | ||||
\(621\) | 5.73212e9 | − | 9.92833e9i | 0.960495 | − | 1.66363i | ||||
\(622\) | −2.41623e9 | + | 4.18503e9i | −0.402598 | + | 0.697321i | ||||
\(623\) | −7.44717e9 | −1.23391 | ||||||||
\(624\) | −6.17569e9 | −1.01751 | ||||||||
\(625\) | −1.83247e9 | + | 3.17393e9i | −0.300232 | + | 0.520016i | ||||
\(626\) | −2.04286e9 | + | 3.53833e9i | −0.332834 | + | 0.576485i | ||||
\(627\) | −1.71341e9 | − | 2.96771e9i | −0.277603 | − | 0.480822i | ||||
\(628\) | 5.91396e7 | + | 1.02433e8i | 0.00952839 | + | 0.0165037i | ||||
\(629\) | 2.70786e9 | 0.433860 | ||||||||
\(630\) | −3.48559e8 | − | 6.03723e8i | −0.0555373 | − | 0.0961935i | ||||
\(631\) | −4.77830e8 | − | 8.27626e8i | −0.0757130 | − | 0.131139i | 0.825683 | − | 0.564134i | \(-0.190790\pi\) |
−0.901396 | + | 0.432995i | \(0.857457\pi\) | |||||||
\(632\) | 1.60018e9 | + | 2.77160e9i | 0.252150 | + | 0.436737i | ||||
\(633\) | −1.39044e9 | + | 2.40831e9i | −0.217890 | + | 0.377397i | ||||
\(634\) | −1.01174e9 | −0.157672 | ||||||||
\(635\) | −4.35172e8 | + | 7.53740e8i | −0.0674455 | + | 0.116819i | ||||
\(636\) | −3.39207e7 | − | 5.87524e7i | −0.00522835 | − | 0.00905577i | ||||
\(637\) | −2.85700e9 | −0.437948 | ||||||||
\(638\) | −1.45876e9 | − | 2.52664e9i | −0.222387 | − | 0.385186i | ||||
\(639\) | 2.34643e9 | − | 4.06414e9i | 0.355758 | − | 0.616191i | ||||
\(640\) | 1.14498e9 | − | 1.98316e9i | 0.172650 | − | 0.299039i | ||||
\(641\) | 8.45274e9 | 1.26764 | 0.633818 | − | 0.773482i | \(-0.281487\pi\) | ||||
0.633818 | + | 0.773482i | \(0.281487\pi\) | |||||||
\(642\) | 1.59070e9 | − | 2.75516e9i | 0.237254 | − | 0.410937i | ||||
\(643\) | 1.82745e9 | 0.271086 | 0.135543 | − | 0.990771i | \(-0.456722\pi\) | ||||
0.135543 | + | 0.990771i | \(0.456722\pi\) | |||||||
\(644\) | −4.61693e8 | −0.0681166 | ||||||||
\(645\) | −1.85442e9 | + | 8.03186e8i | −0.272113 | + | 0.117857i | ||||
\(646\) | −1.09554e10 | −1.59888 | ||||||||
\(647\) | −3.92133e9 | −0.569204 | −0.284602 | − | 0.958646i | \(-0.591861\pi\) | ||||
−0.284602 | + | 0.958646i | \(0.591861\pi\) | |||||||
\(648\) | −1.74258e9 | + | 3.01823e9i | −0.251582 | + | 0.435753i | ||||
\(649\) | 2.35060e9 | 0.337538 | ||||||||
\(650\) | 3.96545e9 | − | 6.86836e9i | 0.566364 | − | 0.980971i | ||||
\(651\) | 6.32584e8 | − | 1.09567e9i | 0.0898638 | − | 0.155649i | ||||
\(652\) | 1.20771e8 | + | 2.09181e8i | 0.0170646 | + | 0.0295567i | ||||
\(653\) | −7.58044e9 | −1.06536 | −0.532682 | − | 0.846315i | \(-0.678816\pi\) | ||||
−0.532682 | + | 0.846315i | \(0.678816\pi\) | |||||||
\(654\) | −3.47209e7 | − | 6.01383e7i | −0.00485365 | − | 0.00840677i | ||||
\(655\) | −5.61445e8 | + | 9.72452e8i | −0.0780662 | + | 0.135215i | ||||
\(656\) | 1.28419e10 | 1.77609 | ||||||||
\(657\) | 1.38855e9 | − | 2.40504e9i | 0.191022 | − | 0.330860i | ||||
\(658\) | −5.28938e9 | − | 9.16148e9i | −0.723793 | − | 1.25365i | ||||
\(659\) | 1.02000e9 | + | 1.76669e9i | 0.138836 | + | 0.240470i | 0.927056 | − | 0.374923i | \(-0.122331\pi\) |
−0.788221 | + | 0.615393i | \(0.788997\pi\) | |||||||
\(660\) | 3.21805e7 | + | 5.57382e7i | 0.00435701 | + | 0.00754657i | ||||
\(661\) | −8.89691e9 | −1.19821 | −0.599107 | − | 0.800669i | \(-0.704477\pi\) | ||||
−0.599107 | + | 0.800669i | \(0.704477\pi\) | |||||||
\(662\) | 1.25056e9 | + | 2.16603e9i | 0.167533 | + | 0.290176i | ||||
\(663\) | −5.88517e9 | − | 1.01934e10i | −0.784263 | − | 1.35838i | ||||
\(664\) | 2.42535e9 | − | 4.20084e9i | 0.321504 | − | 0.556862i | ||||
\(665\) | −1.30116e9 | + | 2.25367e9i | −0.171575 | + | 0.297177i | ||||
\(666\) | −8.16088e8 | −0.107048 | ||||||||
\(667\) | −9.84905e9 | −1.28515 | ||||||||
\(668\) | 3.16213e8 | − | 5.47698e8i | 0.0410452 | − | 0.0710924i | ||||
\(669\) | −2.81444e9 | + | 4.87475e9i | −0.363413 | + | 0.629450i | ||||
\(670\) | 6.94817e8 | + | 1.20346e9i | 0.0892501 | + | 0.154586i | ||||
\(671\) | −1.16088e8 | − | 2.01070e8i | −0.0148339 | − | 0.0256932i | ||||
\(672\) | 4.80923e8 | 0.0611341 | ||||||||
\(673\) | 4.63554e9 | + | 8.02899e9i | 0.586202 | + | 1.01533i | 0.994724 | + | 0.102584i | \(0.0327109\pi\) |
−0.408522 | + | 0.912748i | \(0.633956\pi\) | |||||||
\(674\) | 3.01259e9 | + | 5.21797e9i | 0.378993 | + | 0.656435i | ||||
\(675\) | −3.73740e9 | − | 6.47337e9i | −0.467742 | − | 0.810154i | ||||
\(676\) | 1.54302e8 | − | 2.67260e8i | 0.0192114 | − | 0.0332751i | ||||
\(677\) | 4.13107e9 | 0.511684 | 0.255842 | − | 0.966719i | \(-0.417647\pi\) | ||||
0.255842 | + | 0.966719i | \(0.417647\pi\) | |||||||
\(678\) | 3.54010e8 | − | 6.13164e8i | 0.0436227 | − | 0.0755566i | ||||
\(679\) | −9.41923e7 | − | 1.63146e8i | −0.0115471 | − | 0.0200001i | ||||
\(680\) | 4.59101e9 | 0.559921 | ||||||||
\(681\) | −4.37034e9 | − | 7.56965e9i | −0.530274 | − | 0.918461i | ||||
\(682\) | −6.98091e8 | + | 1.20913e9i | −0.0842688 | + | 0.145958i | ||||
\(683\) | −1.62442e9 | + | 2.81358e9i | −0.195086 | + | 0.337898i | −0.946929 | − | 0.321444i | \(-0.895832\pi\) |
0.751843 | + | 0.659342i | \(0.229165\pi\) | |||||||
\(684\) | −1.62546e8 | −0.0194214 | ||||||||
\(685\) | 1.37912e9 | − | 2.38870e9i | 0.163940 | − | 0.283952i | ||||
\(686\) | −8.98597e9 | −1.06275 | ||||||||
\(687\) | 1.17665e10 | 1.38451 | ||||||||
\(688\) | 9.30979e8 | − | 8.06886e9i | 0.108988 | − | 0.944611i | ||||
\(689\) | −3.25226e9 | −0.378808 | ||||||||
\(690\) | −4.41333e9 | −0.511440 | ||||||||
\(691\) | 1.75727e8 | − | 3.04368e8i | 0.0202612 | − | 0.0350934i | −0.855717 | − | 0.517444i | \(-0.826884\pi\) |
0.875978 | + | 0.482351i | \(0.160217\pi\) | |||||||
\(692\) | 4.90964e8 | 0.0563220 | ||||||||
\(693\) | −8.35188e8 | + | 1.44659e9i | −0.0953274 | + | 0.165112i | ||||
\(694\) | 7.00534e9 | − | 1.21336e10i | 0.795557 | − | 1.37795i | ||||
\(695\) | −2.61140e9 | − | 4.52309e9i | −0.295072 | − | 0.511079i | ||||
\(696\) | 5.24723e9 | 0.589926 | ||||||||
\(697\) | 1.22378e10 | + | 2.11964e10i | 1.36895 | + | 2.37109i | ||||
\(698\) | −6.29609e9 | + | 1.09052e10i | −0.700773 | + | 1.21377i | ||||
\(699\) | 8.76116e9 | 0.970268 | ||||||||
\(700\) | −1.50514e8 | + | 2.60698e8i | −0.0165857 | + | 0.0287273i | ||||
\(701\) | 4.32657e9 | + | 7.49384e9i | 0.474385 | + | 0.821658i | 0.999570 | − | 0.0293298i | \(-0.00933730\pi\) |
−0.525185 | + | 0.850988i | \(0.676004\pi\) | |||||||
\(702\) | 6.56138e9 | + | 1.13646e10i | 0.715839 | + | 1.23987i | ||||
\(703\) | 1.52321e9 | + | 2.63828e9i | 0.165354 | + | 0.286402i | ||||
\(704\) | −6.04385e9 | −0.652844 | ||||||||
\(705\) | 2.48918e9 | + | 4.31138e9i | 0.267543 | + | 0.463399i | ||||
\(706\) | −3.99885e9 | − | 6.92622e9i | −0.427680 | − | 0.740764i | ||||
\(707\) | −4.64881e9 | + | 8.05197e9i | −0.494736 | + | 0.856908i | ||||
\(708\) | −9.47368e7 | + | 1.64089e8i | −0.0100323 | + | 0.0173765i | ||||
\(709\) | −8.86426e9 | −0.934073 | −0.467037 | − | 0.884238i | \(-0.654678\pi\) | ||||
−0.467037 | + | 0.884238i | \(0.654678\pi\) | |||||||
\(710\) | −6.68320e9 | −0.700778 | ||||||||
\(711\) | 8.75921e8 | − | 1.51714e9i | 0.0913948 | − | 0.158300i | ||||
\(712\) | −7.39047e9 | + | 1.28007e10i | −0.767347 | + | 1.32908i | ||||
\(713\) | 2.35664e9 | + | 4.08183e9i | 0.243490 | + | 0.421736i | ||||
\(714\) | −4.53739e9 | − | 7.85900e9i | −0.466512 | − | 0.808022i | ||||
\(715\) | 3.08542e9 | 0.315677 | ||||||||
\(716\) | −2.65857e8 | − | 4.60479e8i | −0.0270678 | − | 0.0468828i | ||||
\(717\) | −1.55655e9 | − | 2.69602e9i | −0.157705 | − | 0.273153i | ||||
\(718\) | 7.53437e9 | + | 1.30499e10i | 0.759646 | + | 1.31575i | ||||
\(719\) | 3.44836e8 | − | 5.97274e8i | 0.0345989 | − | 0.0599270i | −0.848207 | − | 0.529664i | \(-0.822318\pi\) |
0.882806 | + | 0.469737i | \(0.155651\pi\) | |||||||
\(720\) | −1.31856e9 | −0.131655 | ||||||||
\(721\) | 6.95307e9 | − | 1.20431e10i | 0.690881 | − | 1.19664i | ||||
\(722\) | −1.22611e9 | − | 2.12369e9i | −0.121241 | − | 0.209996i | ||||
\(723\) | 1.00827e10 | 0.992187 | ||||||||
\(724\) | 2.67533e8 | + | 4.63381e8i | 0.0261995 | + | 0.0453789i | ||||
\(725\) | −3.21084e9 | + | 5.56134e9i | −0.312922 | + | 0.541996i | ||||
\(726\) | 2.42698e9 | − | 4.20365e9i | 0.235390 | − | 0.407707i | ||||
\(727\) | −1.64120e10 | −1.58413 | −0.792066 | − | 0.610436i | \(-0.790994\pi\) | ||||
−0.792066 | + | 0.610436i | \(0.790994\pi\) | |||||||
\(728\) | 5.89590e9 | − | 1.02120e10i | 0.566357 | − | 0.980959i | ||||
\(729\) | 1.09325e10 | 1.04514 | ||||||||
\(730\) | −3.95493e9 | −0.376278 | ||||||||
\(731\) | 1.42054e10 | − | 6.15264e9i | 1.34506 | − | 0.582573i | ||||
\(732\) | 1.87148e7 | 0.00176359 | ||||||||
\(733\) | 1.94484e10 | 1.82398 | 0.911988 | − | 0.410216i | \(-0.134547\pi\) | ||||
0.911988 | + | 0.410216i | \(0.134547\pi\) | |||||||
\(734\) | −3.65387e9 | + | 6.32869e9i | −0.341049 | + | 0.590715i | ||||
\(735\) | 1.03660e9 | 0.0962950 | ||||||||
\(736\) | −8.95821e8 | + | 1.55161e9i | −0.0828226 | + | 0.143453i | ||||
\(737\) | 1.66486e9 | − | 2.88362e9i | 0.153194 | − | 0.265340i | ||||
\(738\) | −3.68818e9 | − | 6.38812e9i | −0.337765 | − | 0.585027i | ||||
\(739\) | 1.34814e9 | 0.122880 | 0.0614399 | − | 0.998111i | \(-0.480431\pi\) | ||||
0.0614399 | + | 0.998111i | \(0.480431\pi\) | |||||||
\(740\) | −2.86083e7 | − | 4.95510e7i | −0.00259526 | − | 0.00449512i | ||||
\(741\) | 6.62097e9 | − | 1.14679e10i | 0.597803 | − | 1.03542i | ||||
\(742\) | −2.50746e9 | −0.225330 | ||||||||
\(743\) | −5.82248e9 | + | 1.00848e10i | −0.520771 | + | 0.902002i | 0.478937 | + | 0.877849i | \(0.341022\pi\) |
−0.999708 | + | 0.0241528i | \(0.992311\pi\) | |||||||
\(744\) | −1.25554e9 | − | 2.17465e9i | −0.111770 | − | 0.193591i | ||||
\(745\) | −8.42622e8 | − | 1.45946e9i | −0.0746596 | − | 0.129314i | ||||
\(746\) | −7.76213e9 | − | 1.34444e10i | −0.684534 | − | 1.18565i | ||||
\(747\) | −2.65522e9 | −0.233066 | ||||||||
\(748\) | −2.46512e8 | − | 4.26971e8i | −0.0215369 | − | 0.0373029i | ||||
\(749\) | 2.89443e9 | + | 5.01330e9i | 0.251696 | + | 0.435951i | ||||
\(750\) | −3.11114e9 | + | 5.38865e9i | −0.269281 | + | 0.466408i | ||||
\(751\) | −5.47687e9 | + | 9.48622e9i | −0.471838 | + | 0.817247i | −0.999481 | − | 0.0322191i | \(-0.989743\pi\) |
0.527643 | + | 0.849466i | \(0.323076\pi\) | |||||||
\(752\) | −2.00091e10 | −1.71579 | ||||||||
\(753\) | −2.06373e9 | −0.176145 | ||||||||
\(754\) | 5.63695e9 | − | 9.76348e9i | 0.478899 | − | 0.829478i | ||||
\(755\) | 1.77622e9 | − | 3.07651e9i | 0.150205 | − | 0.260162i | ||||
\(756\) | −2.49046e8 | − | 4.31361e8i | −0.0209630 | − | 0.0363090i | ||||
\(757\) | −2.67071e9 | − | 4.62580e9i | −0.223764 | − | 0.387571i | 0.732184 | − | 0.681107i | \(-0.238501\pi\) |
−0.955948 | + | 0.293536i | \(0.905168\pi\) | |||||||
\(758\) | 1.78173e10 | 1.48593 | ||||||||
\(759\) | 5.28742e9 | + | 9.15808e9i | 0.438932 | + | 0.760253i | ||||
\(760\) | 2.58250e9 | + | 4.47302e9i | 0.213399 | + | 0.369618i | ||||
\(761\) | 5.38218e9 | + | 9.32220e9i | 0.442702 | + | 0.766783i | 0.997889 | − | 0.0649430i | \(-0.0206865\pi\) |
−0.555187 | + | 0.831726i | \(0.687353\pi\) | |||||||
\(762\) | 1.70726e9 | − | 2.95707e9i | 0.139784 | − | 0.242113i | ||||
\(763\) | 1.26356e8 | 0.0102982 | ||||||||
\(764\) | 9.88976e7 | − | 1.71296e8i | 0.00802341 | − | 0.0138970i | ||||
\(765\) | −1.25653e9 | − | 2.17638e9i | −0.101475 | − | 0.175760i | ||||
\(766\) | 4.07095e8 | 0.0327262 | ||||||||
\(767\) | 4.54161e9 | + | 7.86630e9i | 0.363435 | + | 0.629487i | ||||
\(768\) | 6.99459e8 | − | 1.21150e9i | 0.0557183 | − | 0.0965069i | ||||
\(769\) | 9.28006e9 | − | 1.60735e10i | 0.735882 | − | 1.27459i | −0.218453 | − | 0.975848i | \(-0.570101\pi\) |
0.954335 | − | 0.298738i | \(-0.0965657\pi\) | |||||||
\(770\) | 2.37882e9 | 0.187778 | ||||||||
\(771\) | 2.28185e9 | − | 3.95227e9i | 0.179306 | − | 0.310568i | ||||
\(772\) | −4.61158e8 | −0.0360736 | ||||||||
\(773\) | −1.96237e10 | −1.52810 | −0.764051 | − | 0.645156i | \(-0.776792\pi\) | ||||
−0.764051 | + | 0.645156i | \(0.776792\pi\) | |||||||
\(774\) | −4.28119e9 | + | 1.85426e9i | −0.331872 | + | 0.143740i | ||||
\(775\) | 3.07311e9 | 0.237149 | ||||||||
\(776\) | −3.73901e8 | −0.0287237 | ||||||||
\(777\) | −1.26173e9 | + | 2.18539e9i | −0.0964926 | + | 0.167130i | ||||
\(778\) | −1.41547e10 | −1.07764 | ||||||||
\(779\) | −1.37678e10 | + | 2.38466e10i | −1.04348 | + | 1.80736i | ||||
\(780\) | −1.24352e8 | + | 2.15384e8i | −0.00938259 | + | 0.0162511i | ||||
\(781\) | 8.00685e9 | + | 1.38683e10i | 0.601427 | + | 1.04170i | ||||
\(782\) | 3.38074e10 | 2.52807 | ||||||||
\(783\) | −5.31277e9 | − | 9.20200e9i | −0.395508 | − | 0.685040i | ||||
\(784\) | −2.08315e9 | + | 3.60813e9i | −0.154388 | + | 0.267409i | ||||
\(785\) | −2.05730e9 | −0.151794 | ||||||||
\(786\) | 2.20266e9 | − | 3.81511e9i | 0.161796 | − | 0.280239i | ||||
\(787\) | −1.51245e9 | − | 2.61965e9i | −0.110604 | − | 0.191572i | 0.805410 | − | 0.592718i | \(-0.201945\pi\) |
−0.916014 | + | 0.401147i | \(0.868612\pi\) | |||||||
\(788\) | −2.21087e8 | − | 3.82934e8i | −0.0160961 | − | 0.0278793i | ||||
\(789\) | 2.97174e9 | + | 5.14721e9i | 0.215398 | + | 0.373080i | ||||
\(790\) | −2.49484e9 | −0.180031 | ||||||||
\(791\) | 6.44158e8 | + | 1.11571e9i | 0.0462780 | + | 0.0801559i | ||||
\(792\) | 1.65766e9 | + | 2.87115e9i | 0.118565 | + | 0.205361i | ||||
\(793\) | 4.48587e8 | − | 7.76976e8i | 0.0319441 | − | 0.0553288i | ||||
\(794\) | −9.07279e9 | + | 1.57145e10i | −0.643234 | + | 1.11411i | ||||
\(795\) | 1.18001e9 | 0.0832913 | ||||||||
\(796\) | −4.82351e8 | −0.0338975 | ||||||||
\(797\) | −4.51436e9 | + | 7.81910e9i | −0.315858 | + | 0.547082i | −0.979619 | − | 0.200862i | \(-0.935626\pi\) |
0.663762 | + | 0.747944i | \(0.268959\pi\) | |||||||
\(798\) | 5.10469e9 | − | 8.84158e9i | 0.355598 | − | 0.615914i | ||||
\(799\) | −1.90678e10 | − | 3.30265e10i | −1.32248 | − | 2.29059i | ||||
\(800\) | 5.84085e8 | + | 1.01166e9i | 0.0403330 | + | 0.0698589i | ||||
\(801\) | 8.09091e9 | 0.556267 | ||||||||
\(802\) | −5.87265e9 | − | 1.01717e10i | −0.401998 | − | 0.696280i | ||||
\(803\) | 4.73823e9 | + | 8.20686e9i | 0.322933 | + | 0.559336i | ||||
\(804\) | 1.34199e8 | + | 2.32439e8i | 0.00910650 | + | 0.0157729i | ||||
\(805\) | 4.01525e9 | − | 6.95463e9i | 0.271286 | − | 0.469881i | ||||
\(806\) | −5.39515e9 | −0.362936 | ||||||||
\(807\) | −2.86568e9 | + | 4.96351e9i | −0.191942 | + | 0.332454i | ||||
\(808\) | 9.22683e9 | + | 1.59813e10i | 0.615336 | + | 1.06579i | ||||
\(809\) | 1.72660e9 | 0.114649 | 0.0573246 | − | 0.998356i | \(-0.481743\pi\) | ||||
0.0573246 | + | 0.998356i | \(0.481743\pi\) | |||||||
\(810\) | −1.35842e9 | − | 2.35285e9i | −0.0898125 | − | 0.155560i | ||||
\(811\) | −1.06571e10 | + | 1.84587e10i | −0.701564 | + | 1.21515i | 0.266353 | + | 0.963876i | \(0.414181\pi\) |
−0.967917 | + | 0.251270i | \(0.919152\pi\) | |||||||
\(812\) | −2.13958e8 | + | 3.70587e8i | −0.0140244 | + | 0.0242909i | ||||
\(813\) | 1.49266e10 | 0.974191 | ||||||||
\(814\) | 1.39239e9 | − | 2.41169e9i | 0.0904848 | − | 0.156724i | ||||
\(815\) | −4.20128e9 | −0.271850 | ||||||||
\(816\) | −1.71644e10 | −1.10589 | ||||||||
\(817\) | 1.39853e10 | + | 1.03794e10i | 0.897209 | + | 0.665880i | ||||
\(818\) | 2.64345e9 | 0.168863 | ||||||||
\(819\) | −6.45469e9 | −0.410565 | ||||||||
\(820\) | 2.58581e8 | − | 4.47876e8i | 0.0163775 | − | 0.0283667i | ||||
\(821\) | 1.36364e10 | 0.860004 | 0.430002 | − | 0.902828i | \(-0.358513\pi\) | ||||
0.430002 | + | 0.902828i | \(0.358513\pi\) | |||||||
\(822\) | −5.41054e9 | + | 9.37134e9i | −0.339774 | + | 0.588505i | ||||
\(823\) | 3.41248e9 | − | 5.91058e9i | 0.213388 | − | 0.369599i | −0.739385 | − | 0.673283i | \(-0.764883\pi\) |
0.952773 | + | 0.303684i | \(0.0982168\pi\) | |||||||
\(824\) | −1.38003e10 | − | 2.39028e10i | −0.859295 | − | 1.48834i | ||||
\(825\) | 6.89490e9 | 0.427503 | ||||||||
\(826\) | 3.50153e9 | + | 6.06483e9i | 0.216186 | + | 0.374445i | ||||
\(827\) | 1.17149e10 | − | 2.02908e10i | 0.720226 | − | 1.24747i | −0.240683 | − | 0.970604i | \(-0.577371\pi\) |
0.960909 | − | 0.276865i | \(-0.0892954\pi\) | |||||||
\(828\) | 5.01602e8 | 0.0307081 | ||||||||
\(829\) | 1.27488e9 | − | 2.20817e9i | 0.0777195 | − | 0.134614i | −0.824546 | − | 0.565795i | \(-0.808569\pi\) |
0.902266 | + | 0.431181i | \(0.141903\pi\) | |||||||
\(830\) | 1.89068e9 | + | 3.27475e9i | 0.114774 | + | 0.198795i | ||||
\(831\) | 4.83472e8 | + | 8.37399e8i | 0.0292259 | + | 0.0506208i | ||||
\(832\) | −1.16774e10 | − | 2.02258e10i | −0.702931 | − | 1.21751i | ||||
\(833\) | −7.94062e9 | −0.475989 | ||||||||
\(834\) | 1.02450e10 | + | 1.77449e10i | 0.611551 | + | 1.05924i | ||||
\(835\) | 5.50009e9 | + | 9.52644e9i | 0.326939 | + | 0.566276i | ||||
\(836\) | 2.77332e8 | − | 4.80354e8i | 0.0164164 | − | 0.0284341i | ||||
\(837\) | −2.54244e9 | + | 4.40363e9i | −0.149869 | + | 0.259581i | ||||
\(838\) | −9.40876e9 | −0.552304 | ||||||||
\(839\) | 7.44172e9 | 0.435017 | 0.217509 | − | 0.976058i | \(-0.430207\pi\) | ||||
0.217509 | + | 0.976058i | \(0.430207\pi\) | |||||||
\(840\) | −2.13919e9 | + | 3.70518e9i | −0.124529 | + | 0.215691i | ||||
\(841\) | 4.06068e9 | − | 7.03330e9i | 0.235403 | − | 0.407731i | ||||
\(842\) | −9.92569e9 | − | 1.71918e10i | −0.573018 | − | 0.992497i | ||||
\(843\) | −1.02960e10 | − | 1.78331e10i | −0.591931 | − | 1.02525i | ||||
\(844\) | −4.50112e8 | −0.0257705 | ||||||||
\(845\) | 2.68388e9 | + | 4.64861e9i | 0.153026 | + | 0.265048i | ||||
\(846\) | 5.74660e9 | + | 9.95341e9i | 0.326298 | + | 0.565166i | ||||
\(847\) | 4.41614e9 | + | 7.64898e9i | 0.249719 | + | 0.432525i | ||||
\(848\) | −2.37135e9 | + | 4.10730e9i | −0.133540 | + | 0.231298i | ||||
\(849\) | −2.79333e9 | −0.156655 | ||||||||
\(850\) | 1.10214e10 | − | 1.90896e10i | 0.615560 | − | 1.06618i | ||||
\(851\) | −4.70049e9 | − | 8.14149e9i | −0.261451 | − | 0.452846i | ||||
\(852\) | −1.29081e9 | −0.0715028 | ||||||||
\(853\) | −1.74866e10 | − | 3.02877e10i | −0.964681 | − | 1.67088i | −0.710471 | − | 0.703727i | \(-0.751518\pi\) |
−0.254210 | − | 0.967149i | \(-0.581815\pi\) | |||||||
\(854\) | 3.45855e8 | − | 5.99039e8i | 0.0190017 | − | 0.0329119i | ||||
\(855\) | 1.41363e9 | − | 2.44848e9i | 0.0773490 | − | 0.133972i | ||||
\(856\) | 1.14896e10 | 0.626104 | ||||||||
\(857\) | −5.86990e8 | + | 1.01670e9i | −0.0318565 | + | 0.0551771i | −0.881514 | − | 0.472158i | \(-0.843475\pi\) |
0.849658 | + | 0.527335i | \(0.176809\pi\) | |||||||
\(858\) | −1.21047e10 | −0.654256 | ||||||||
\(859\) | −1.16759e10 | −0.628513 | −0.314257 | − | 0.949338i | \(-0.601755\pi\) | ||||
−0.314257 | + | 0.949338i | \(0.601755\pi\) | |||||||
\(860\) | −2.62665e8 | − | 1.94942e8i | −0.0140818 | − | 0.0104511i | ||||
\(861\) | −2.28088e10 | −1.21785 | ||||||||
\(862\) | −6.31631e9 | −0.335883 | ||||||||
\(863\) | −5.86365e9 | + | 1.01561e10i | −0.310549 | + | 0.537887i | −0.978481 | − | 0.206335i | \(-0.933846\pi\) |
0.667932 | + | 0.744222i | \(0.267180\pi\) | |||||||
\(864\) | −1.93290e9 | −0.101955 | ||||||||
\(865\) | −4.26982e9 | + | 7.39554e9i | −0.224312 | + | 0.388520i | ||||
\(866\) | 3.00533e9 | − | 5.20539e9i | 0.157246 | − | 0.272358i | ||||
\(867\) | −8.74409e9 | − | 1.51452e10i | −0.455667 | − | 0.789239i | ||||
\(868\) | 2.04780e8 | 0.0106284 | ||||||||
\(869\) | 2.98895e9 | + | 5.17702e9i | 0.154508 | + | 0.267615i | ||||
\(870\) | −2.04523e9 | + | 3.54244e9i | −0.105299 | + | 0.182384i | ||||
\(871\) | 1.28668e10 | 0.659790 | ||||||||
\(872\) | 1.25394e8 | − | 2.17189e8i | 0.00640428 | − | 0.0110925i | ||||
\(873\) | 1.02334e8 | + | 1.77248e8i | 0.00520562 | + | 0.00901639i | ||||
\(874\) | 1.90171e10 | + | 3.29386e10i | 0.963507 | + | 1.66884i | ||||
\(875\) | −5.66103e9 | − | 9.80520e9i | −0.285672 | − | 0.494798i | ||||
\(876\) | −7.63865e8 | −0.0383930 | ||||||||
\(877\) | 4.01010e9 | + | 6.94569e9i | 0.200750 | + | 0.347710i | 0.948770 | − | 0.315966i | \(-0.102329\pi\) |
−0.748020 | + | 0.663676i | \(0.768995\pi\) | |||||||
\(878\) | −1.01186e10 | − | 1.75259e10i | −0.504532 | − | 0.873876i | ||||
\(879\) | 2.51548e9 | − | 4.35693e9i | 0.124928 | − | 0.216381i | ||||
\(880\) | 2.24970e9 | − | 3.89659e9i | 0.111284 | − | 0.192750i | ||||
\(881\) | −1.23728e10 | −0.609611 | −0.304806 | − | 0.952415i | \(-0.598591\pi\) | ||||
−0.304806 | + | 0.952415i | \(0.598591\pi\) | |||||||
\(882\) | 2.39312e9 | 0.117442 | ||||||||
\(883\) | 6.26221e9 | − | 1.08465e10i | 0.306101 | − | 0.530183i | −0.671405 | − | 0.741091i | \(-0.734309\pi\) |
0.977506 | + | 0.210908i | \(0.0676420\pi\) | |||||||
\(884\) | 9.52575e8 | − | 1.64991e9i | 0.0463784 | − | 0.0803298i | ||||
\(885\) | −1.64782e9 | − | 2.85410e9i | −0.0799111 | − | 0.138410i | ||||
\(886\) | −3.31917e9 | − | 5.74897e9i | −0.160329 | − | 0.277697i | ||||
\(887\) | −1.40949e10 | −0.678155 | −0.339078 | − | 0.940758i | \(-0.610115\pi\) | ||||
−0.339078 | + | 0.940758i | \(0.610115\pi\) | |||||||
\(888\) | 2.50425e9 | + | 4.33750e9i | 0.120014 | + | 0.207871i | ||||
\(889\) | 3.10654e9 | + | 5.38068e9i | 0.148293 | + | 0.256851i | ||||
\(890\) | −5.76122e9 | − | 9.97873e9i | −0.273936 | − | 0.474471i | ||||
\(891\) | −3.25493e9 | + | 5.63771e9i | −0.154159 | + | 0.267012i | ||||
\(892\) | −9.11092e8 | −0.0429818 | ||||||||
\(893\) | 2.14518e10 | − | 3.71556e10i | 1.00805 | − | 1.74600i | ||||
\(894\) | 3.30577e9 | + | 5.72576e9i | 0.154736 | + | 0.268010i | ||||
\(895\) | 9.24844e9 | 0.431209 | ||||||||
\(896\) | −8.17360e9 | − | 1.41571e10i | −0.379608 | − | 0.657500i | ||||
\(897\) | −2.04317e10 | + | 3.53888e10i | −0.945217 | + | 1.63716i | ||||
\(898\) | −4.63492e9 | + | 8.02792e9i | −0.213587 | + | 0.369944i | ||||
\(899\) | 4.36847e9 | 0.200526 | ||||||||
\(900\) | 1.63525e8 | − | 2.83234e8i | 0.00747713 | − | 0.0129508i | ||||
\(901\) | −9.03919e9 | −0.411711 | ||||||||
\(902\) | 2.51708e10 | 1.14202 | ||||||||
\(903\) | −1.65354e9 | + | 1.43313e10i | −0.0747321 | + | 0.647709i | ||||
\(904\) | 2.55702e9 | 0.115118 | ||||||||
\(905\) | −9.30674e9 | −0.417376 | ||||||||
\(906\) | −6.96846e9 | + | 1.20697e10i | −0.311307 | + | 0.539199i | ||||
\(907\) | −2.19464e10 | −0.976648 | −0.488324 | − | 0.872662i | \(-0.662392\pi\) | ||||
−0.488324 | + | 0.872662i | \(0.662392\pi\) | |||||||
\(908\) | 7.07384e8 | − | 1.22523e9i | 0.0313585 | − | 0.0543145i | ||||
\(909\) | 5.05066e9 | − | 8.74799e9i | 0.223036 | − | 0.386309i | ||||
\(910\) | 4.59613e9 | + | 7.96073e9i | 0.202184 | + | 0.350194i | ||||
\(911\) | 2.56463e10 | 1.12386 | 0.561928 | − | 0.827186i | \(-0.310060\pi\) | ||||
0.561928 | + | 0.827186i | \(0.310060\pi\) | |||||||
\(912\) | −9.65521e9 | − | 1.67233e10i | −0.421483 | − | 0.730030i | ||||
\(913\) | 4.53028e9 | − | 7.84667e9i | 0.197005 | − | 0.341223i | ||||
\(914\) | 2.74811e10 | 1.19048 | ||||||||
\(915\) | −1.62759e8 | + | 2.81907e8i | −0.00702379 | + | 0.0121656i | ||||
\(916\) | 9.52260e8 | + | 1.64936e9i | 0.0409375 | + | 0.0709059i | ||||
\(917\) | 4.00796e9 | + | 6.94199e9i | 0.171645 | + | 0.297298i | ||||
\(918\) | 1.82364e10 | + | 3.15864e10i | 0.778018 | + | 1.34757i | ||||
\(919\) | −9.88803e9 | −0.420248 | −0.210124 | − | 0.977675i | \(-0.567387\pi\) | ||||
−0.210124 | + | 0.977675i | \(0.567387\pi\) | |||||||
\(920\) | −7.96937e9 | − | 1.38034e10i | −0.337417 | − | 0.584423i | ||||
\(921\) | 3.36215e9 | + | 5.82342e9i | 0.141811 | + | 0.245623i | ||||
\(922\) | 2.16381e10 | − | 3.74783e10i | 0.909203 | − | 1.57479i | ||||
\(923\) | −3.09402e10 | + | 5.35900e10i | −1.29514 | + | 2.24325i | ||||
\(924\) | 4.59450e8 | 0.0191596 | ||||||||
\(925\) | −6.12953e9 | −0.254643 | ||||||||
\(926\) | −2.20959e10 | + | 3.82713e10i | −0.914479 | + | 1.58392i | ||||
\(927\) | −7.55410e9 | + | 1.30841e10i | −0.311461 | + | 0.539466i | ||||
\(928\) | 8.30285e8 | + | 1.43810e9i | 0.0341043 | + | 0.0590704i | ||||
\(929\) | −9.47111e9 | − | 1.64044e10i | −0.387566 | − | 0.671284i | 0.604555 | − | 0.796563i | \(-0.293351\pi\) |
−0.992122 | + | 0.125279i | \(0.960017\pi\) | |||||||
\(930\) | 1.95750e9 | 0.0798016 | ||||||||
\(931\) | −4.46671e9 | − | 7.73656e9i | −0.181411 | − | 0.314213i | ||||
\(932\) | 7.09042e8 | + | 1.22810e9i | 0.0286891 | + | 0.0496909i | ||||
\(933\) | −8.11719e9 | − | 1.40594e10i | −0.327205 | − | 0.566735i | ||||
\(934\) | −1.51283e10 | + | 2.62031e10i | −0.607543 | + | 1.05230i | ||||
\(935\) | 8.57546e9 | 0.343097 | ||||||||
\(936\) | −6.40555e9 | + | 1.10947e10i | −0.255324 | + | 0.442233i | ||||
\(937\) | 2.09388e10 | + | 3.62670e10i | 0.831500 | + | 1.44020i | 0.896849 | + | 0.442338i | \(0.145851\pi\) |
−0.0653487 | + | 0.997862i | \(0.520816\pi\) | |||||||
\(938\) | 9.92011e9 | 0.392470 | ||||||||
\(939\) | −6.86285e9 | − | 1.18868e10i | −0.270505 | − | 0.468528i | ||||
\(940\) | −4.02899e8 | + | 6.97841e8i | −0.0158215 | + | 0.0274037i | ||||
\(941\) | −1.10130e10 | + | 1.90751e10i | −0.430865 | + | 0.746281i | −0.996948 | − | 0.0780676i | \(-0.975125\pi\) |
0.566083 | + | 0.824349i | \(0.308458\pi\) | |||||||
\(942\) | 8.07119e9 | 0.314601 | ||||||||
\(943\) | 4.24863e10 | − | 7.35884e10i | 1.64990 | − | 2.85771i | ||||
\(944\) | 1.32459e10 | 0.512482 | ||||||||
\(945\) | 8.66363e9 | 0.333956 | ||||||||
\(946\) | 1.82477e9 | − | 1.58154e10i | 0.0700792 | − | 0.607381i | ||||
\(947\) | 3.79143e10 | 1.45070 | 0.725351 | − | 0.688379i | \(-0.241677\pi\) | ||||
0.725351 | + | 0.688379i | \(0.241677\pi\) | |||||||
\(948\) | −4.81858e8 | −0.0183692 | ||||||||
\(949\) | −1.83095e10 | + | 3.17131e10i | −0.695418 | + | 1.20450i | ||||
\(950\) | 2.47987e10 | 0.938418 | ||||||||
\(951\) | 1.69943e9 | − | 2.94351e9i | 0.0640726 | − | 0.110977i | ||||
\(952\) | 1.63868e10 | − | 2.83828e10i | 0.615552 | − | 1.06617i | ||||
\(953\) | 2.09653e10 | + | 3.63129e10i | 0.784648 | + | 1.35905i | 0.929209 | + | 0.369555i | \(0.120490\pi\) |
−0.144561 | + | 0.989496i | \(0.546177\pi\) | |||||||
\(954\) | 2.72420e9 | 0.101583 | ||||||||
\(955\) | 1.72019e9 | + | 2.97945e9i | 0.0639093 | + | 0.110694i | ||||
\(956\) | 2.51943e8 | − | 4.36378e8i | 0.00932610 | − | 0.0161533i | ||||
\(957\) | 9.80121e9 | 0.361483 | ||||||||
\(958\) | 5.19066e9 | − | 8.99048e9i | 0.190741 | − | 0.330372i | ||||
\(959\) | −9.84504e9 | − | 1.70521e10i | −0.360456 | − | 0.624328i | ||||
\(960\) | 4.23685e9 | + | 7.33844e9i | 0.154559 | + | 0.267704i | ||||
\(961\) | 1.27110e10 | + | 2.20162e10i | 0.462008 | + | 0.800221i | ||||
\(962\) | 1.07610e10 | 0.389708 | ||||||||
\(963\) | −3.14463e9 | − | 5.44666e9i | −0.113469 | − | 0.196534i | ||||
\(964\) | 8.15996e8 | + | 1.41335e9i | 0.0293372 | + | 0.0508135i | ||||
\(965\) | 4.01060e9 | − | 6.94657e9i | 0.143669 | − | 0.248843i | ||||
\(966\) | −1.57526e10 | + | 2.72843e10i | −0.562254 | + | 0.973853i | ||||
\(967\) | −5.94040e9 | −0.211263 | −0.105631 | − | 0.994405i | \(-0.533686\pi\) | ||||
−0.105631 | + | 0.994405i | \(0.533686\pi\) | |||||||
\(968\) | 1.75301e10 | 0.621183 | ||||||||
\(969\) | 1.84020e10 | − | 3.18732e10i | 0.649729 | − | 1.12536i | ||||
\(970\) | 1.45737e8 | − | 2.52423e8i | 0.00512705 | − | 0.00888032i | ||||
\(971\) | 1.32430e9 | + | 2.29375e9i | 0.0464214 | + | 0.0804042i | 0.888302 | − | 0.459259i | \(-0.151885\pi\) |
−0.841881 | + | 0.539663i | \(0.818552\pi\) | |||||||
\(972\) | 4.68008e8 | + | 8.10613e8i | 0.0163464 | + | 0.0283127i | ||||
\(973\) | −3.72838e10 | −1.29755 | ||||||||
\(974\) | 1.52197e10 | + | 2.63612e10i | 0.527775 | + | 0.914133i | ||||
\(975\) | 1.33217e10 | + | 2.30738e10i | 0.460302 | + | 0.797267i | ||||
\(976\) | −6.54165e8 | − | 1.13305e9i | −0.0225223 | − | 0.0390098i | ||||
\(977\) | 6.52055e9 | − | 1.12939e10i | 0.223693 | − | 0.387448i | −0.732233 | − | 0.681054i | \(-0.761522\pi\) |
0.955927 | + | 0.293606i | \(0.0948552\pi\) | |||||||
\(978\) | 1.64824e10 | 0.563423 | ||||||||
\(979\) | −1.38045e10 | + | 2.39102e10i | −0.470200 | + | 0.814410i | ||||
\(980\) | 8.38918e7 | + | 1.45305e8i | 0.00284727 | + | 0.00493161i | ||||
\(981\) | −1.37279e8 | −0.00464261 | ||||||||
\(982\) | −1.19664e10 | − | 2.07264e10i | −0.403249 | − | 0.698448i | ||||
\(983\) | −2.61333e9 | + | 4.52643e9i | −0.0877521 | + | 0.151991i | −0.906561 | − | 0.422076i | \(-0.861302\pi\) |
0.818809 | + | 0.574067i | \(0.194635\pi\) | |||||||
\(984\) | −2.26352e10 | + | 3.92053e10i | −0.757358 | + | 1.31178i | ||||
\(985\) | 7.69100e9 | 0.256422 | ||||||||
\(986\) | 1.56671e10 | − | 2.71362e10i | 0.520497 | − | 0.901528i | ||||
\(987\) | 3.55387e10 | 1.17650 | ||||||||
\(988\) | 2.14334e9 | 0.0707038 | ||||||||
\(989\) | −4.31573e10 | − | 3.20300e10i | −1.41862 | − | 1.05286i | ||||
\(990\) | −2.58445e9 | −0.0846534 | ||||||||
\(991\) | −3.99304e10 | −1.30330 | −0.651652 | − | 0.758518i | \(-0.725924\pi\) | ||||
−0.651652 | + | 0.758518i | \(0.725924\pi\) | |||||||
\(992\) | 3.97335e8 | − | 6.88204e8i | 0.0129231 | − | 0.0223834i | ||||
\(993\) | −8.40235e9 | −0.272319 | ||||||||
\(994\) | −2.38545e10 | + | 4.13172e10i | −0.770404 | + | 1.33438i | ||||
\(995\) | 4.19491e9 | − | 7.26580e9i | 0.135003 | − | 0.233831i | ||||
\(996\) | 3.65170e8 | + | 6.32493e8i | 0.0117108 | + | 0.0202837i | ||||
\(997\) | 5.75235e10 | 1.83828 | 0.919142 | − | 0.393927i | \(-0.128884\pi\) | ||||
0.919142 | + | 0.393927i | \(0.128884\pi\) | |||||||
\(998\) | 1.26773e9 | + | 2.19577e9i | 0.0403710 | + | 0.0699246i | ||||
\(999\) | 5.07107e9 | − | 8.78336e9i | 0.160924 | − | 0.278728i |
(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 | 43.8.c.a.6.18 | ✓ | 50 | |
43.36 | even | 3 | inner | 43.8.c.a.36.18 | yes | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.c.a.6.18 | ✓ | 50 | 1.1 | even | 1 | trivial | |
43.8.c.a.36.18 | yes | 50 | 43.36 | even | 3 | inner |