Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,8,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), 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: | \(3.74862030581\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\sqrt{3}, \sqrt{-5})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{5}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Root | \(0.866025 - 1.11803i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.8.b.a.11.4 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 10.3923 | − | 4.47214i | 0.918559 | − | 0.395285i | ||||
\(3\) | 31.1769 | + | 34.8569i | 0.666667 | + | 0.745356i | ||||
\(4\) | 88.0000 | − | 92.9516i | 0.687500 | − | 0.726184i | ||||
\(5\) | 205.718i | 0.736000i | 0.929826 | + | 0.368000i | \(0.119957\pi\) | ||||
−0.929826 | + | 0.368000i | \(0.880043\pi\) | |||||||
\(6\) | 479.885 | + | 222.816i | 0.907000 | + | 0.421130i | ||||
\(7\) | − | 999.230i | − | 1.10109i | −0.834806 | − | 0.550544i | \(-0.814420\pi\) | ||
0.834806 | − | 0.550544i | \(-0.185580\pi\) | |||||||
\(8\) | 498.831 | − | 1359.53i | 0.344459 | − | 0.938801i | ||||
\(9\) | −243.000 | + | 2173.46i | −0.111111 | + | 0.993808i | ||||
\(10\) | 920.000 | + | 2137.89i | 0.290930 | + | 0.676059i | ||||
\(11\) | −1974.54 | −0.447292 | −0.223646 | − | 0.974670i | \(-0.571796\pi\) | ||||
−0.223646 | + | 0.974670i | \(0.571796\pi\) | |||||||
\(12\) | 5983.57 | + | 169.459i | 0.999599 | + | 0.0283093i | ||||
\(13\) | −12730.0 | −1.60704 | −0.803520 | − | 0.595278i | \(-0.797042\pi\) | ||||
−0.803520 | + | 0.595278i | \(0.797042\pi\) | |||||||
\(14\) | −4468.69 | − | 10384.3i | −0.435243 | − | 1.01141i | ||||
\(15\) | −7170.69 | + | 6413.66i | −0.548582 | + | 0.490667i | ||||
\(16\) | −896.000 | − | 16359.5i | −0.0546875 | − | 0.998504i | ||||
\(17\) | 18854.5i | 0.930774i | 0.885107 | + | 0.465387i | \(0.154085\pi\) | ||||
−0.885107 | + | 0.465387i | \(0.845915\pi\) | |||||||
\(18\) | 7194.67 | + | 23674.0i | 0.290775 | + | 0.956791i | ||||
\(19\) | − | 23911.8i | − | 0.799788i | −0.916561 | − | 0.399894i | \(-0.869047\pi\) | ||
0.916561 | − | 0.399894i | \(-0.130953\pi\) | |||||||
\(20\) | 19121.8 | + | 18103.2i | 0.534472 | + | 0.506000i | ||||
\(21\) | 34830.0 | − | 31152.9i | 0.820703 | − | 0.734059i | ||||
\(22\) | −20520.0 | + | 8830.40i | −0.410864 | + | 0.176808i | ||||
\(23\) | 72372.0 | 1.24029 | 0.620145 | − | 0.784487i | \(-0.287074\pi\) | ||||
0.620145 | + | 0.784487i | \(0.287074\pi\) | |||||||
\(24\) | 62940.9 | − | 24998.3i | 0.929381 | − | 0.369123i | ||||
\(25\) | 35805.0 | 0.458304 | ||||||||
\(26\) | −132294. | + | 56930.3i | −1.47616 | + | 0.635238i | ||||
\(27\) | −83335.9 | + | 59291.5i | −0.814815 | + | 0.579721i | ||||
\(28\) | −92880.0 | − | 87932.2i | −0.799593 | − | 0.756998i | ||||
\(29\) | − | 106106.i | − | 0.807879i | −0.914786 | − | 0.403940i | \(-0.867641\pi\) | ||
0.914786 | − | 0.403940i | \(-0.132359\pi\) | |||||||
\(30\) | −45837.2 | + | 98721.0i | −0.309952 | + | 0.667552i | ||||
\(31\) | 90372.2i | 0.544840i | 0.962178 | + | 0.272420i | \(0.0878240\pi\) | ||||
−0.962178 | + | 0.272420i | \(0.912176\pi\) | |||||||
\(32\) | −82473.3 | − | 166006.i | −0.444927 | − | 0.895567i | ||||
\(33\) | −61560.0 | − | 68826.2i | −0.298195 | − | 0.333392i | ||||
\(34\) | 84320.0 | + | 195942.i | 0.367921 | + | 0.854971i | ||||
\(35\) | 205560. | 0.810401 | ||||||||
\(36\) | 180642. | + | 213852.i | 0.645299 | + | 0.763930i | ||||
\(37\) | 43310.0 | 0.140567 | 0.0702833 | − | 0.997527i | \(-0.477610\pi\) | ||||
0.0702833 | + | 0.997527i | \(0.477610\pi\) | |||||||
\(38\) | −106937. | − | 248499.i | −0.316144 | − | 0.734652i | ||||
\(39\) | −396882. | − | 443728.i | −1.07136 | − | 1.19782i | ||||
\(40\) | 279680. | + | 102619.i | 0.690958 | + | 0.253522i | ||||
\(41\) | 785790.i | 1.78059i | 0.455388 | + | 0.890293i | \(0.349501\pi\) | ||||
−0.455388 | + | 0.890293i | \(0.650499\pi\) | |||||||
\(42\) | 222644. | − | 479515.i | 0.463701 | − | 0.998687i | ||||
\(43\) | 70805.9i | 0.135809i | 0.997692 | + | 0.0679047i | \(0.0216314\pi\) | ||||
−0.997692 | + | 0.0679047i | \(0.978369\pi\) | |||||||
\(44\) | −173759. | + | 183536.i | −0.307513 | + | 0.324816i | ||||
\(45\) | −447120. | − | 49989.5i | −0.731443 | − | 0.0817778i | ||||
\(46\) | 752112. | − | 323657.i | 1.13928 | − | 0.490268i | ||||
\(47\) | 563762. | 0.792051 | 0.396025 | − | 0.918240i | \(-0.370389\pi\) | ||||
0.396025 | + | 0.918240i | \(0.370389\pi\) | |||||||
\(48\) | 542305. | − | 541270.i | 0.707782 | − | 0.706431i | ||||
\(49\) | −174917. | −0.212396 | ||||||||
\(50\) | 372096. | − | 160125.i | 0.420979 | − | 0.181161i | ||||
\(51\) | −657209. | + | 587826.i | −0.693758 | + | 0.620516i | ||||
\(52\) | −1.12024e6 | + | 1.18327e6i | −1.10484 | + | 1.16701i | ||||
\(53\) | − | 348943.i | − | 0.321950i | −0.986958 | − | 0.160975i | \(-0.948536\pi\) | ||
0.986958 | − | 0.160975i | \(-0.0514639\pi\) | |||||||
\(54\) | −600892. | + | 988865.i | −0.519300 | + | 0.854592i | ||||
\(55\) | − | 406198.i | − | 0.329207i | ||||||
\(56\) | −1.35848e6 | − | 498446.i | −1.03370 | − | 0.379280i | ||||
\(57\) | 833490. | − | 745496.i | 0.596126 | − | 0.533192i | ||||
\(58\) | −474520. | − | 1.10268e6i | −0.319342 | − | 0.742085i | ||||
\(59\) | −758119. | −0.480568 | −0.240284 | − | 0.970703i | \(-0.577241\pi\) | ||||
−0.240284 | + | 0.970703i | \(0.577241\pi\) | |||||||
\(60\) | −34860.8 | + | 1.23093e6i | −0.0208357 | + | 0.735705i | ||||
\(61\) | 314198. | 0.177235 | 0.0886174 | − | 0.996066i | \(-0.471755\pi\) | ||||
0.0886174 | + | 0.996066i | \(0.471755\pi\) | |||||||
\(62\) | 404157. | + | 939175.i | 0.215367 | + | 0.500467i | ||||
\(63\) | 2.17178e6 | + | 242813.i | 1.09427 | + | 0.122343i | ||||
\(64\) | −1.59949e6 | − | 1.35635e6i | −0.762695 | − | 0.646758i | ||||
\(65\) | − | 2.61879e6i | − | 1.18278i | ||||||
\(66\) | −947550. | − | 439958.i | −0.405694 | − | 0.188368i | ||||
\(67\) | 811351.i | 0.329570i | 0.986330 | + | 0.164785i | \(0.0526930\pi\) | ||||
−0.986330 | + | 0.164785i | \(0.947307\pi\) | |||||||
\(68\) | 1.75256e6 | + | 1.65920e6i | 0.675914 | + | 0.639907i | ||||
\(69\) | 2.25634e6 | + | 2.52266e6i | 0.826860 | + | 0.924458i | ||||
\(70\) | 2.13624e6 | − | 919291.i | 0.744401 | − | 0.320339i | ||||
\(71\) | 265004. | 0.0878715 | 0.0439357 | − | 0.999034i | \(-0.486010\pi\) | ||||
0.0439357 | + | 0.999034i | \(0.486010\pi\) | |||||||
\(72\) | 2.83366e6 | + | 1.41455e6i | 0.894715 | + | 0.446638i | ||||
\(73\) | −259270. | −0.0780050 | −0.0390025 | − | 0.999239i | \(-0.512418\pi\) | ||||
−0.0390025 | + | 0.999239i | \(0.512418\pi\) | |||||||
\(74\) | 450091. | − | 193688.i | 0.129119 | − | 0.0555638i | ||||
\(75\) | 1.11629e6 | + | 1.24805e6i | 0.305536 | + | 0.341600i | ||||
\(76\) | −2.22264e6 | − | 2.10424e6i | −0.580793 | − | 0.549854i | ||||
\(77\) | 1.97302e6i | 0.492508i | ||||||||
\(78\) | −6.10893e6 | − | 2.83644e6i | −1.45759 | − | 0.676773i | ||||
\(79\) | − | 5.23482e6i | − | 1.19456i | −0.802033 | − | 0.597279i | \(-0.796248\pi\) | ||
0.802033 | − | 0.597279i | \(-0.203752\pi\) | |||||||
\(80\) | 3.36544e6 | − | 184324.i | 0.734899 | − | 0.0402500i | ||||
\(81\) | −4.66487e6 | − | 1.05630e6i | −0.975309 | − | 0.220846i | ||||
\(82\) | 3.51416e6 | + | 8.16617e6i | 0.703839 | + | 1.63557i | ||||
\(83\) | −1.01017e7 | −1.93919 | −0.969594 | − | 0.244718i | \(-0.921305\pi\) | ||||
−0.969594 | + | 0.244718i | \(0.921305\pi\) | |||||||
\(84\) | 169328. | − | 5.97896e6i | 0.0311711 | − | 1.10065i | ||||
\(85\) | −3.87872e6 | −0.685050 | ||||||||
\(86\) | 316654. | + | 735836.i | 0.0536834 | + | 0.124749i | ||||
\(87\) | 3.69852e6 | − | 3.30805e6i | 0.602158 | − | 0.538586i | ||||
\(88\) | −984960. | + | 2.68444e6i | −0.154074 | + | 0.419918i | ||||
\(89\) | 3.88455e6i | 0.584085i | 0.956405 | + | 0.292042i | \(0.0943348\pi\) | ||||
−0.956405 | + | 0.292042i | \(0.905665\pi\) | |||||||
\(90\) | −4.87017e6 | + | 1.48007e6i | −0.704199 | + | 0.214010i | ||||
\(91\) | 1.27202e7i | 1.76949i | ||||||||
\(92\) | 6.36874e6 | − | 6.72709e6i | 0.852699 | − | 0.900679i | ||||
\(93\) | −3.15009e6 | + | 2.81753e6i | −0.406100 | + | 0.363227i | ||||
\(94\) | 5.85878e6 | − | 2.52122e6i | 0.727545 | − | 0.313086i | ||||
\(95\) | 4.91909e6 | 0.588644 | ||||||||
\(96\) | 3.21517e6 | − | 8.05031e6i | 0.370898 | − | 0.928674i | ||||
\(97\) | 7.24301e6 | 0.805783 | 0.402891 | − | 0.915248i | \(-0.368005\pi\) | ||||
0.402891 | + | 0.915248i | \(0.368005\pi\) | |||||||
\(98\) | −1.81779e6 | + | 782253.i | −0.195098 | + | 0.0839568i | ||||
\(99\) | 479813. | − | 4.29158e6i | 0.0496991 | − | 0.444522i | ||||
\(100\) | 3.15084e6 | − | 3.32813e6i | 0.315084 | − | 0.332813i | ||||
\(101\) | − | 1.12157e7i | − | 1.08318i | −0.840642 | − | 0.541591i | \(-0.817822\pi\) | ||
0.840642 | − | 0.541591i | \(-0.182178\pi\) | |||||||
\(102\) | −4.20108e6 | + | 9.04800e6i | −0.391977 | + | 0.844213i | ||||
\(103\) | − | 1.15817e7i | − | 1.04434i | −0.852843 | − | 0.522168i | \(-0.825123\pi\) | ||
0.852843 | − | 0.522168i | \(-0.174877\pi\) | |||||||
\(104\) | −6.35011e6 | + | 1.73068e7i | −0.553560 | + | 1.50869i | ||||
\(105\) | 6.40872e6 | + | 7.16517e6i | 0.540267 | + | 0.604037i | ||||
\(106\) | −1.56052e6 | − | 3.62632e6i | −0.127262 | − | 0.295730i | ||||
\(107\) | 218675. | 0.0172566 | 0.00862831 | − | 0.999963i | \(-0.497253\pi\) | ||||
0.00862831 | + | 0.999963i | \(0.497253\pi\) | |||||||
\(108\) | −1.82232e6 | + | 1.29639e7i | −0.139201 | + | 0.990264i | ||||
\(109\) | 9.80701e6 | 0.725344 | 0.362672 | − | 0.931917i | \(-0.381865\pi\) | ||||
0.362672 | + | 0.931917i | \(0.381865\pi\) | |||||||
\(110\) | −1.81657e6 | − | 4.22134e6i | −0.130130 | − | 0.302396i | ||||
\(111\) | 1.35027e6 | + | 1.50965e6i | 0.0937111 | + | 0.104772i | ||||
\(112\) | −1.63469e7 | + | 895310.i | −1.09944 | + | 0.0602158i | ||||
\(113\) | − | 5.41533e6i | − | 0.353061i | −0.984295 | − | 0.176531i | \(-0.943513\pi\) | ||
0.984295 | − | 0.176531i | \(-0.0564875\pi\) | |||||||
\(114\) | 5.32792e6 | − | 1.14749e7i | 0.336815 | − | 0.725408i | ||||
\(115\) | 1.48882e7i | 0.912853i | ||||||||
\(116\) | −9.86271e6 | − | 9.33732e6i | −0.586669 | − | 0.555417i | ||||
\(117\) | 3.09339e6 | − | 2.76681e7i | 0.178560 | − | 1.59709i | ||||
\(118\) | −7.87860e6 | + | 3.39041e6i | −0.441430 | + | 0.189961i | ||||
\(119\) | 1.88400e7 | 1.02486 | ||||||||
\(120\) | 5.14260e6 | + | 1.29481e7i | 0.271674 | + | 0.684024i | ||||
\(121\) | −1.55884e7 | −0.799930 | ||||||||
\(122\) | 3.26524e6 | − | 1.40514e6i | 0.162801 | − | 0.0700582i | ||||
\(123\) | −2.73902e7 | + | 2.44985e7i | −1.32717 | + | 1.18706i | ||||
\(124\) | 8.40024e6 | + | 7.95275e6i | 0.395654 | + | 0.374577i | ||||
\(125\) | 2.34375e7i | 1.07331i | ||||||||
\(126\) | 2.36557e7 | − | 7.18913e6i | 1.05351 | − | 0.320169i | ||||
\(127\) | − | 1.65498e7i | − | 0.716936i | −0.933542 | − | 0.358468i | \(-0.883299\pi\) | ||
0.933542 | − | 0.358468i | \(-0.116701\pi\) | |||||||
\(128\) | −2.26881e7 | − | 6.94247e6i | −0.956234 | − | 0.292603i | ||||
\(129\) | −2.46807e6 | + | 2.20751e6i | −0.101226 | + | 0.0905396i | ||||
\(130\) | −1.17116e7 | − | 2.72153e7i | −0.467535 | − | 1.08645i | ||||
\(131\) | 2.54476e6 | 0.0989004 | 0.0494502 | − | 0.998777i | \(-0.484253\pi\) | ||||
0.0494502 | + | 0.998777i | \(0.484253\pi\) | |||||||
\(132\) | −1.18148e7 | − | 334603.i | −0.447113 | − | 0.0126625i | ||||
\(133\) | −2.38934e7 | −0.880637 | ||||||||
\(134\) | 3.62847e6 | + | 8.43181e6i | 0.130274 | + | 0.302729i | ||||
\(135\) | −1.21973e7 | − | 1.71437e7i | −0.426675 | − | 0.599704i | ||||
\(136\) | 2.56333e7 | + | 9.40521e6i | 0.873812 | + | 0.320614i | ||||
\(137\) | 2.54632e7i | 0.846040i | 0.906120 | + | 0.423020i | \(0.139030\pi\) | ||||
−0.906120 | + | 0.423020i | \(0.860970\pi\) | |||||||
\(138\) | 3.47302e7 | + | 1.61256e7i | 1.12494 | + | 0.522323i | ||||
\(139\) | − | 3.98426e7i | − | 1.25833i | −0.777270 | − | 0.629167i | \(-0.783396\pi\) | ||
0.777270 | − | 0.629167i | \(-0.216604\pi\) | |||||||
\(140\) | 1.80893e7 | − | 1.91071e7i | 0.557151 | − | 0.588501i | ||||
\(141\) | 1.75764e7 | + | 1.96510e7i | 0.528034 | + | 0.590360i | ||||
\(142\) | 2.75400e6 | − | 1.18513e6i | 0.0807151 | − | 0.0347342i | ||||
\(143\) | 2.51359e7 | 0.718816 | ||||||||
\(144\) | 3.57744e7 | + | 2.02794e6i | 0.998397 | + | 0.0565960i | ||||
\(145\) | 2.18279e7 | 0.594599 | ||||||||
\(146\) | −2.69441e6 | + | 1.15949e6i | −0.0716521 | + | 0.0308342i | ||||
\(147\) | −5.45337e6 | − | 6.09706e6i | −0.141597 | − | 0.158310i | ||||
\(148\) | 3.81128e6 | − | 4.02573e6i | 0.0966395 | − | 0.102077i | ||||
\(149\) | 2.47666e6i | 0.0613359i | 0.999530 | + | 0.0306679i | \(0.00976344\pi\) | ||||
−0.999530 | + | 0.0306679i | \(0.990237\pi\) | |||||||
\(150\) | 1.71823e7 | + | 7.97791e6i | 0.415682 | + | 0.193006i | ||||
\(151\) | 5.67175e7i | 1.34060i | 0.742092 | + | 0.670298i | \(0.233834\pi\) | ||||
−0.742092 | + | 0.670298i | \(0.766166\pi\) | |||||||
\(152\) | −3.25088e7 | − | 1.19279e7i | −0.750842 | − | 0.275494i | ||||
\(153\) | −4.09795e7 | − | 4.58165e6i | −0.925011 | − | 0.103419i | ||||
\(154\) | 8.82360e6 | + | 2.05042e7i | 0.194681 | + | 0.452397i | ||||
\(155\) | −1.85912e7 | −0.401002 | ||||||||
\(156\) | −7.61708e7 | − | 2.15721e6i | −1.60640 | − | 0.0454942i | ||||
\(157\) | −2.54237e7 | −0.524312 | −0.262156 | − | 0.965026i | \(-0.584434\pi\) | ||||
−0.262156 | + | 0.965026i | \(0.584434\pi\) | |||||||
\(158\) | −2.34108e7 | − | 5.44019e7i | −0.472191 | − | 1.09727i | ||||
\(159\) | 1.21630e7 | − | 1.08790e7i | 0.239968 | − | 0.214634i | ||||
\(160\) | 3.41504e7 | − | 1.69663e7i | 0.659137 | − | 0.327466i | ||||
\(161\) | − | 7.23163e7i | − | 1.36567i | ||||||
\(162\) | −5.32027e7 | + | 9.88454e6i | −0.983175 | + | 0.182664i | ||||
\(163\) | 4.04251e7i | 0.731130i | 0.930786 | + | 0.365565i | \(0.119124\pi\) | ||||
−0.930786 | + | 0.365565i | \(0.880876\pi\) | |||||||
\(164\) | 7.30404e7 | + | 6.91495e7i | 1.29303 | + | 1.22415i | ||||
\(165\) | 1.41588e7 | − | 1.26640e7i | 0.245376 | − | 0.219471i | ||||
\(166\) | −1.04980e8 | + | 4.51761e7i | −1.78126 | + | 0.766532i | ||||
\(167\) | −5.30738e7 | −0.881805 | −0.440902 | − | 0.897555i | \(-0.645342\pi\) | ||||
−0.440902 | + | 0.897555i | \(0.645342\pi\) | |||||||
\(168\) | −2.49790e7 | − | 6.28924e7i | −0.406437 | − | 1.02333i | ||||
\(169\) | 9.93044e7 | 1.58258 | ||||||||
\(170\) | −4.03088e7 | + | 1.73462e7i | −0.629258 | + | 0.270790i | ||||
\(171\) | 5.19713e7 | + | 5.81057e6i | 0.794835 | + | 0.0888653i | ||||
\(172\) | 6.58152e6 | + | 6.23092e6i | 0.0986226 | + | 0.0933689i | ||||
\(173\) | − | 7.80723e6i | − | 0.114640i | −0.998356 | − | 0.0573199i | \(-0.981744\pi\) | ||
0.998356 | − | 0.0573199i | \(-0.0182555\pi\) | |||||||
\(174\) | 2.36421e7 | − | 5.09186e7i | 0.340222 | − | 0.732747i | ||||
\(175\) | − | 3.57774e7i | − | 0.504633i | ||||||
\(176\) | 1.76919e6 | + | 3.23024e7i | 0.0244613 | + | 0.446623i | ||||
\(177\) | −2.36358e7 | − | 2.64256e7i | −0.320379 | − | 0.358194i | ||||
\(178\) | 1.73722e7 | + | 4.03694e7i | 0.230880 | + | 0.536516i | ||||
\(179\) | 7.52215e7 | 0.980294 | 0.490147 | − | 0.871640i | \(-0.336943\pi\) | ||||
0.490147 | + | 0.871640i | \(0.336943\pi\) | |||||||
\(180\) | −4.39932e7 | + | 3.71614e7i | −0.562253 | + | 0.474940i | ||||
\(181\) | 3.63087e7 | 0.455130 | 0.227565 | − | 0.973763i | \(-0.426924\pi\) | ||||
0.227565 | + | 0.973763i | \(0.426924\pi\) | |||||||
\(182\) | 5.68864e7 | + | 1.32192e8i | 0.699454 | + | 1.62538i | ||||
\(183\) | 9.79572e6 | + | 1.09520e7i | 0.118157 | + | 0.132103i | ||||
\(184\) | 3.61014e7 | − | 9.83919e7i | 0.427230 | − | 1.16439i | ||||
\(185\) | 8.90966e6i | 0.103457i | ||||||||
\(186\) | −2.01363e7 | + | 4.33682e7i | −0.229448 | + | 0.494170i | ||||
\(187\) | − | 3.72290e7i | − | 0.416328i | ||||||
\(188\) | 4.96110e7 | − | 5.24026e7i | 0.544535 | − | 0.575175i | ||||
\(189\) | 5.92458e7 | + | 8.32717e7i | 0.638324 | + | 0.897183i | ||||
\(190\) | 5.11207e7 | − | 2.19989e7i | 0.540704 | − | 0.232682i | ||||
\(191\) | −1.29538e8 | −1.34518 | −0.672590 | − | 0.740015i | \(-0.734818\pi\) | ||||
−0.672590 | + | 0.740015i | \(0.734818\pi\) | |||||||
\(192\) | −2.58902e6 | − | 9.80399e7i | −0.0263986 | − | 0.999651i | ||||
\(193\) | −1.19989e8 | −1.20141 | −0.600703 | − | 0.799472i | \(-0.705112\pi\) | ||||
−0.600703 | + | 0.799472i | \(0.705112\pi\) | |||||||
\(194\) | 7.52716e7 | − | 3.23917e7i | 0.740159 | − | 0.318514i | ||||
\(195\) | 9.12829e7 | − | 8.16459e7i | 0.881593 | − | 0.788521i | ||||
\(196\) | −1.53927e7 | + | 1.62588e7i | −0.146022 | + | 0.154238i | ||||
\(197\) | 3.80955e7i | 0.355011i | 0.984120 | + | 0.177506i | \(0.0568028\pi\) | ||||
−0.984120 | + | 0.177506i | \(0.943197\pi\) | |||||||
\(198\) | −1.42061e7 | − | 4.67451e7i | −0.130061 | − | 0.427965i | ||||
\(199\) | 1.00917e8i | 0.907775i | 0.891059 | + | 0.453888i | \(0.149963\pi\) | ||||
−0.891059 | + | 0.453888i | \(0.850037\pi\) | |||||||
\(200\) | 1.78606e7 | − | 4.86779e7i | 0.157867 | − | 0.430256i | ||||
\(201\) | −2.82812e7 | + | 2.52954e7i | −0.245647 | + | 0.219713i | ||||
\(202\) | −5.01581e7 | − | 1.16557e8i | −0.428165 | − | 0.994966i | ||||
\(203\) | −1.06024e8 | −0.889547 | ||||||||
\(204\) | −3.19506e6 | + | 1.12817e8i | −0.0263496 | + | 0.930401i | ||||
\(205\) | −1.61651e8 | −1.31051 | ||||||||
\(206\) | −5.17947e7 | − | 1.20360e8i | −0.412810 | − | 0.959284i | ||||
\(207\) | −1.75864e7 | + | 1.57298e8i | −0.137810 | + | 1.23261i | ||||
\(208\) | 1.14061e7 | + | 2.08256e8i | 0.0878850 | + | 1.60464i | ||||
\(209\) | 4.72148e7i | 0.357739i | ||||||||
\(210\) | 9.86450e7 | + | 4.58019e7i | 0.735034 | + | 0.341284i | ||||
\(211\) | − | 2.02240e8i | − | 1.48210i | −0.671448 | − | 0.741052i | \(-0.734327\pi\) | ||
0.671448 | − | 0.741052i | \(-0.265673\pi\) | |||||||
\(212\) | −3.24348e7 | − | 3.07070e7i | −0.233795 | − | 0.221341i | ||||
\(213\) | 8.26200e6 | + | 9.23720e6i | 0.0585810 | + | 0.0654955i | ||||
\(214\) | 2.27254e6 | − | 977944.i | 0.0158512 | − | 0.00682128i | ||||
\(215\) | −1.45661e7 | −0.0999557 | ||||||||
\(216\) | 3.90380e7 | + | 1.42874e8i | 0.263572 | + | 0.964640i | ||||
\(217\) | 9.03026e7 | 0.599917 | ||||||||
\(218\) | 1.01917e8 | − | 4.38583e7i | 0.666271 | − | 0.286717i | ||||
\(219\) | −8.08324e6 | − | 9.03734e6i | −0.0520033 | − | 0.0581415i | ||||
\(220\) | −3.77568e7 | − | 3.57455e7i | −0.239065 | − | 0.226330i | ||||
\(221\) | − | 2.40018e8i | − | 1.49579i | ||||||
\(222\) | 2.07838e7 | + | 9.65014e6i | 0.127494 | + | 0.0591968i | ||||
\(223\) | − | 4.63341e7i | − | 0.279791i | −0.990166 | − | 0.139896i | \(-0.955323\pi\) | ||
0.990166 | − | 0.139896i | \(-0.0446767\pi\) | |||||||
\(224\) | −1.65878e8 | + | 8.24098e7i | −0.986098 | + | 0.489904i | ||||
\(225\) | −8.70062e6 | + | 7.78207e7i | −0.0509227 | + | 0.455466i | ||||
\(226\) | −2.42181e7 | − | 5.62777e7i | −0.139560 | − | 0.324308i | ||||
\(227\) | 1.52540e8 | 0.865554 | 0.432777 | − | 0.901501i | \(-0.357534\pi\) | ||||
0.432777 | + | 0.901501i | \(0.357534\pi\) | |||||||
\(228\) | 4.05206e6 | − | 1.43078e8i | 0.0226414 | − | 0.799467i | ||||
\(229\) | −4.39128e7 | −0.241639 | −0.120819 | − | 0.992675i | \(-0.538552\pi\) | ||||
−0.120819 | + | 0.992675i | \(0.538552\pi\) | |||||||
\(230\) | 6.65823e7 | + | 1.54723e8i | 0.360837 | + | 0.838509i | ||||
\(231\) | −6.87732e7 | + | 6.15126e7i | −0.367094 | + | 0.328339i | ||||
\(232\) | −1.44254e8 | − | 5.29289e7i | −0.758438 | − | 0.278282i | ||||
\(233\) | 2.42578e8i | 1.25634i | 0.778077 | + | 0.628168i | \(0.216195\pi\) | ||||
−0.778077 | + | 0.628168i | \(0.783805\pi\) | |||||||
\(234\) | −9.15881e7 | − | 3.01370e8i | −0.467287 | − | 1.53760i | ||||
\(235\) | 1.15976e8i | 0.582949i | ||||||||
\(236\) | −6.67144e7 | + | 7.04683e7i | −0.330391 | + | 0.348981i | ||||
\(237\) | 1.82470e8 | − | 1.63206e8i | 0.890371 | − | 0.796372i | ||||
\(238\) | 1.95791e8 | − | 8.42550e7i | 0.941398 | − | 0.405113i | ||||
\(239\) | 1.34211e8 | 0.635909 | 0.317954 | − | 0.948106i | \(-0.397004\pi\) | ||||
0.317954 | + | 0.948106i | \(0.397004\pi\) | |||||||
\(240\) | 1.11349e8 | + | 1.11562e8i | 0.519933 | + | 0.520928i | ||||
\(241\) | 4.19220e8 | 1.92922 | 0.964612 | − | 0.263674i | \(-0.0849343\pi\) | ||||
0.964612 | + | 0.263674i | \(0.0849343\pi\) | |||||||
\(242\) | −1.61999e8 | + | 6.97133e7i | −0.734783 | + | 0.316200i | ||||
\(243\) | −1.08617e8 | − | 1.95535e8i | −0.485597 | − | 0.874183i | ||||
\(244\) | 2.76494e7 | − | 2.92052e7i | 0.121849 | − | 0.128705i | ||||
\(245\) | − | 3.59836e7i | − | 0.156323i | ||||||
\(246\) | −1.75086e8 | + | 3.77089e8i | −0.749858 | + | 1.61499i | ||||
\(247\) | 3.04397e8i | 1.28529i | ||||||||
\(248\) | 1.22864e8 | + | 4.50804e7i | 0.511496 | + | 0.187675i | ||||
\(249\) | −3.14939e8 | − | 3.52113e8i | −1.29279 | − | 1.44539i | ||||
\(250\) | 1.04816e8 | + | 2.43569e8i | 0.424264 | + | 0.985900i | ||||
\(251\) | 4.44551e8 | 1.77445 | 0.887225 | − | 0.461337i | \(-0.152630\pi\) | ||||
0.887225 | + | 0.461337i | \(0.152630\pi\) | |||||||
\(252\) | 2.13687e8 | − | 1.80503e8i | 0.841155 | − | 0.710531i | ||||
\(253\) | −1.42901e8 | −0.554772 | ||||||||
\(254\) | −7.40131e7 | − | 1.71991e8i | −0.283394 | − | 0.658548i | ||||
\(255\) | −1.20927e8 | − | 1.35200e8i | −0.456700 | − | 0.510606i | ||||
\(256\) | −2.66830e8 | + | 2.93162e7i | −0.994019 | + | 0.109211i | ||||
\(257\) | − | 3.24979e7i | − | 0.119423i | −0.998216 | − | 0.0597117i | \(-0.980982\pi\) | ||
0.998216 | − | 0.0597117i | \(-0.0190181\pi\) | |||||||
\(258\) | −1.57767e7 | + | 3.39787e7i | −0.0571934 | + | 0.123179i | ||||
\(259\) | − | 4.32766e7i | − | 0.154776i | ||||||
\(260\) | −2.43421e8 | − | 2.30454e8i | −0.858917 | − | 0.813162i | ||||
\(261\) | 2.30617e8 | + | 2.57837e7i | 0.802877 | + | 0.0897644i | ||||
\(262\) | 2.64460e7 | − | 1.13805e7i | 0.0908458 | − | 0.0390938i | ||||
\(263\) | −4.26351e8 | −1.44518 | −0.722590 | − | 0.691277i | \(-0.757048\pi\) | ||||
−0.722590 | + | 0.691277i | \(0.757048\pi\) | |||||||
\(264\) | −1.24279e8 | + | 4.93600e7i | −0.415705 | + | 0.165106i | ||||
\(265\) | 7.17839e7 | 0.236955 | ||||||||
\(266\) | −2.48307e8 | + | 1.06854e8i | −0.808917 | + | 0.348102i | ||||
\(267\) | −1.35403e8 | + | 1.21108e8i | −0.435351 | + | 0.389390i | ||||
\(268\) | 7.54164e7 | + | 7.13989e7i | 0.239328 | + | 0.226579i | ||||
\(269\) | 3.00361e8i | 0.940829i | 0.882445 | + | 0.470415i | \(0.155896\pi\) | ||||
−0.882445 | + | 0.470415i | \(0.844104\pi\) | |||||||
\(270\) | −2.03428e8 | − | 1.23615e8i | −0.628980 | − | 0.382205i | ||||
\(271\) | − | 1.68618e8i | − | 0.514648i | −0.966325 | − | 0.257324i | \(-0.917159\pi\) | ||
0.966325 | − | 0.257324i | \(-0.0828408\pi\) | |||||||
\(272\) | 3.08450e8 | − | 1.68937e7i | 0.929381 | − | 0.0509017i | ||||
\(273\) | −4.43386e8 | + | 3.96576e8i | −1.31890 | + | 1.17966i | ||||
\(274\) | 1.13875e8 | + | 2.64621e8i | 0.334426 | + | 0.777137i | ||||
\(275\) | −7.06983e7 | −0.204996 | ||||||||
\(276\) | 4.33043e8 | + | 1.22641e7i | 1.23979 | + | 0.0351118i | ||||
\(277\) | −4.20256e8 | −1.18805 | −0.594026 | − | 0.804446i | \(-0.702462\pi\) | ||||
−0.594026 | + | 0.804446i | \(0.702462\pi\) | |||||||
\(278\) | −1.78182e8 | − | 4.14057e8i | −0.497400 | − | 1.15585i | ||||
\(279\) | −1.96420e8 | − | 2.19604e7i | −0.541466 | − | 0.0605378i | ||||
\(280\) | 1.02540e8 | − | 2.79465e8i | 0.279150 | − | 0.760805i | ||||
\(281\) | − | 5.09954e8i | − | 1.37107i | −0.728041 | − | 0.685533i | \(-0.759569\pi\) | ||
0.728041 | − | 0.685533i | \(-0.240431\pi\) | |||||||
\(282\) | 2.70541e8 | + | 1.25615e8i | 0.718390 | + | 0.333556i | ||||
\(283\) | 1.54638e7i | 0.0405567i | 0.999794 | + | 0.0202784i | \(0.00645525\pi\) | ||||
−0.999794 | + | 0.0202784i | \(0.993545\pi\) | |||||||
\(284\) | 2.33203e7 | − | 2.46325e7i | 0.0604116 | − | 0.0638109i | ||||
\(285\) | 1.53362e8 | + | 1.71464e8i | 0.392429 | + | 0.438749i | ||||
\(286\) | 2.61220e8 | − | 1.12411e8i | 0.660275 | − | 0.284137i | ||||
\(287\) | 7.85185e8 | 1.96058 | ||||||||
\(288\) | 3.80847e8 | − | 1.38913e8i | 0.939458 | − | 0.342664i | ||||
\(289\) | 5.48456e7 | 0.133659 | ||||||||
\(290\) | 2.26842e8 | − | 9.76174e7i | 0.546174 | − | 0.235036i | ||||
\(291\) | 2.25815e8 | + | 2.52469e8i | 0.537189 | + | 0.600595i | ||||
\(292\) | −2.28158e7 | + | 2.40996e7i | −0.0536284 | + | 0.0566460i | ||||
\(293\) | 7.93186e8i | 1.84221i | 0.389318 | + | 0.921104i | \(0.372711\pi\) | ||||
−0.389318 | + | 0.921104i | \(0.627289\pi\) | |||||||
\(294\) | −8.39400e7 | − | 3.89742e7i | −0.192643 | − | 0.0894462i | ||||
\(295\) | − | 1.55959e8i | − | 0.353698i | ||||||
\(296\) | 2.16044e7 | − | 5.88812e7i | 0.0484195 | − | 0.131964i | ||||
\(297\) | 1.64550e8 | − | 1.17073e8i | 0.364460 | − | 0.259305i | ||||
\(298\) | 1.10760e7 | + | 2.57382e7i | 0.0242451 | + | 0.0563406i | ||||
\(299\) | −9.21296e8 | −1.99320 | ||||||||
\(300\) | 2.14242e8 | + | 6.06747e6i | 0.458120 | + | 0.0129743i | ||||
\(301\) | 7.07513e7 | 0.149538 | ||||||||
\(302\) | 2.53648e8 | + | 5.89426e8i | 0.529917 | + | 1.23142i | ||||
\(303\) | 3.90944e8 | − | 3.49671e8i | 0.807356 | − | 0.722121i | ||||
\(304\) | −3.91185e8 | + | 2.14250e7i | −0.798591 | + | 0.0437384i | ||||
\(305\) | 6.46363e7i | 0.130445i | ||||||||
\(306\) | −4.46361e8 | + | 1.35652e8i | −0.890557 | + | 0.270646i | ||||
\(307\) | − | 5.07669e8i | − | 1.00137i | −0.865628 | − | 0.500687i | \(-0.833081\pi\) | ||
0.865628 | − | 0.500687i | \(-0.166919\pi\) | |||||||
\(308\) | 1.83395e8 | + | 1.73625e8i | 0.357652 | + | 0.338599i | ||||
\(309\) | 4.03700e8 | − | 3.61080e8i | 0.778402 | − | 0.696224i | ||||
\(310\) | −1.93206e8 | + | 8.31424e7i | −0.368344 | + | 0.158510i | ||||
\(311\) | −2.79184e8 | −0.526296 | −0.263148 | − | 0.964756i | \(-0.584761\pi\) | ||||
−0.263148 | + | 0.964756i | \(0.584761\pi\) | |||||||
\(312\) | −8.01238e8 | + | 3.18228e8i | −1.49355 | + | 0.593195i | ||||
\(313\) | −6.92840e7 | −0.127711 | −0.0638554 | − | 0.997959i | \(-0.520340\pi\) | ||||
−0.0638554 | + | 0.997959i | \(0.520340\pi\) | |||||||
\(314\) | −2.64211e8 | + | 1.13698e8i | −0.481611 | + | 0.207253i | ||||
\(315\) | −4.99510e7 | + | 4.46776e8i | −0.0900446 | + | 0.805383i | ||||
\(316\) | −4.86585e8 | − | 4.60665e8i | −0.867470 | − | 0.821259i | ||||
\(317\) | − | 8.97465e8i | − | 1.58238i | −0.611572 | − | 0.791189i | \(-0.709463\pi\) | ||
0.611572 | − | 0.791189i | \(-0.290537\pi\) | |||||||
\(318\) | 7.77499e7 | − | 1.67452e8i | 0.135583 | − | 0.292009i | ||||
\(319\) | 2.09510e8i | 0.361358i | ||||||||
\(320\) | 2.79026e8 | − | 3.29044e8i | 0.476014 | − | 0.561344i | ||||
\(321\) | 6.81761e6 | + | 7.62232e6i | 0.0115044 | + | 0.0128623i | ||||
\(322\) | −3.23408e8 | − | 7.51533e8i | −0.539828 | − | 1.25445i | ||||
\(323\) | 4.50846e8 | 0.744422 | ||||||||
\(324\) | −5.08693e8 | + | 3.40653e8i | −0.830900 | + | 0.556422i | ||||
\(325\) | −4.55798e8 | −0.736513 | ||||||||
\(326\) | 1.80787e8 | + | 4.20110e8i | 0.289004 | + | 0.671585i | ||||
\(327\) | 3.05752e8 | + | 3.41842e8i | 0.483563 | + | 0.540640i | ||||
\(328\) | 1.06830e9 | + | 3.91976e8i | 1.67162 | + | 0.613340i | ||||
\(329\) | − | 5.63327e8i | − | 0.872118i | ||||||
\(330\) | 9.05074e7 | − | 1.94928e8i | 0.138639 | − | 0.298591i | ||||
\(331\) | 1.19136e9i | 1.80570i | 0.429957 | + | 0.902849i | \(0.358529\pi\) | ||||
−0.429957 | + | 0.902849i | \(0.641471\pi\) | |||||||
\(332\) | −8.88947e8 | + | 9.38967e8i | −1.33319 | + | 1.40821i | ||||
\(333\) | −1.05243e7 | + | 9.41325e7i | −0.0156185 | + | 0.139696i | ||||
\(334\) | −5.51559e8 | + | 2.37353e8i | −0.809989 | + | 0.348564i | ||||
\(335\) | −1.66910e8 | −0.242563 | ||||||||
\(336\) | −5.40853e8 | − | 5.41888e8i | −0.777843 | − | 0.779331i | ||||
\(337\) | 1.15595e9 | 1.64526 | 0.822630 | − | 0.568577i | \(-0.192506\pi\) | ||||
0.822630 | + | 0.568577i | \(0.192506\pi\) | |||||||
\(338\) | 1.03200e9 | − | 4.44103e8i | 1.45369 | − | 0.625569i | ||||
\(339\) | 1.88761e8 | − | 1.68833e8i | 0.263156 | − | 0.235374i | ||||
\(340\) | −3.41327e8 | + | 3.60533e8i | −0.470972 | + | 0.497473i | ||||
\(341\) | − | 1.78443e8i | − | 0.243702i | ||||||
\(342\) | 5.66087e8 | − | 1.72038e8i | 0.765230 | − | 0.232558i | ||||
\(343\) | − | 6.48126e8i | − | 0.867222i | ||||||
\(344\) | 9.62627e7 | + | 3.53201e7i | 0.127498 | + | 0.0467808i | ||||
\(345\) | −5.18957e8 | + | 4.64170e8i | −0.680401 | + | 0.608569i | ||||
\(346\) | −3.49150e7 | − | 8.11351e7i | −0.0453154 | − | 0.105303i | ||||
\(347\) | −1.31673e9 | −1.69178 | −0.845892 | − | 0.533355i | \(-0.820931\pi\) | ||||
−0.845892 | + | 0.533355i | \(0.820931\pi\) | |||||||
\(348\) | 1.79806e7 | − | 6.34892e8i | 0.0228705 | − | 0.807556i | ||||
\(349\) | −2.79115e8 | −0.351474 | −0.175737 | − | 0.984437i | \(-0.556231\pi\) | ||||
−0.175737 | + | 0.984437i | \(0.556231\pi\) | |||||||
\(350\) | −1.60001e8 | − | 3.71810e8i | −0.199474 | − | 0.463535i | ||||
\(351\) | 1.06087e9 | − | 7.54781e8i | 1.30944 | − | 0.931635i | ||||
\(352\) | 1.62847e8 | + | 3.27785e8i | 0.199012 | + | 0.400580i | ||||
\(353\) | 6.39614e8i | 0.773938i | 0.922093 | + | 0.386969i | \(0.126478\pi\) | ||||
−0.922093 | + | 0.386969i | \(0.873522\pi\) | |||||||
\(354\) | −3.63809e8 | − | 1.68921e8i | −0.435876 | − | 0.202382i | ||||
\(355\) | 5.45161e7i | 0.0646734i | ||||||||
\(356\) | 3.61075e8 | + | 3.41840e8i | 0.424153 | + | 0.401558i | ||||
\(357\) | 5.87373e8 | + | 6.56703e8i | 0.683243 | + | 0.763889i | ||||
\(358\) | 7.81725e8 | − | 3.36401e8i | 0.900457 | − | 0.387495i | ||||
\(359\) | 7.06233e8 | 0.805596 | 0.402798 | − | 0.915289i | \(-0.368038\pi\) | ||||
0.402798 | + | 0.915289i | \(0.368038\pi\) | |||||||
\(360\) | −2.90999e8 | + | 5.82936e8i | −0.328725 | + | 0.658510i | ||||
\(361\) | 3.22098e8 | 0.360340 | ||||||||
\(362\) | 3.77331e8 | − | 1.62377e8i | 0.418064 | − | 0.179906i | ||||
\(363\) | −4.85997e8 | − | 5.43362e8i | −0.533287 | − | 0.596233i | ||||
\(364\) | 1.18236e9 | + | 1.11938e9i | 1.28498 | + | 1.21653i | ||||
\(365\) | − | 5.33366e7i | − | 0.0574117i | ||||||
\(366\) | 1.50779e8 | + | 7.00082e7i | 0.160752 | + | 0.0746389i | ||||
\(367\) | − | 1.52201e9i | − | 1.60726i | −0.595126 | − | 0.803632i | \(-0.702898\pi\) | ||
0.595126 | − | 0.803632i | \(-0.297102\pi\) | |||||||
\(368\) | −6.48453e7 | − | 1.18397e9i | −0.0678284 | − | 1.23843i | ||||
\(369\) | −1.70788e9 | − | 1.90947e8i | −1.76956 | − | 0.197843i | ||||
\(370\) | 3.98452e7 | + | 9.25919e7i | 0.0408950 | + | 0.0950313i | ||||
\(371\) | −3.48674e8 | −0.354496 | ||||||||
\(372\) | −1.53144e7 | + | 5.40748e8i | −0.0154241 | + | 0.544622i | ||||
\(373\) | −4.19200e8 | −0.418254 | −0.209127 | − | 0.977888i | \(-0.567062\pi\) | ||||
−0.209127 | + | 0.977888i | \(0.567062\pi\) | |||||||
\(374\) | −1.66493e8 | − | 3.86895e8i | −0.164568 | − | 0.382422i | ||||
\(375\) | −8.16957e8 | + | 7.30708e8i | −0.799999 | + | 0.715541i | ||||
\(376\) | 2.81222e8 | − | 7.66451e8i | 0.272829 | − | 0.743578i | ||||
\(377\) | 1.35073e9i | 1.29829i | ||||||||
\(378\) | 9.88103e8 | + | 6.00429e8i | 0.940981 | + | 0.571795i | ||||
\(379\) | 1.84045e9i | 1.73655i | 0.496082 | + | 0.868275i | \(0.334771\pi\) | ||||
−0.496082 | + | 0.868275i | \(0.665229\pi\) | |||||||
\(380\) | 4.32880e8 | − | 4.57238e8i | 0.404693 | − | 0.427464i | ||||
\(381\) | 5.76875e8 | − | 5.15972e8i | 0.534372 | − | 0.477957i | ||||
\(382\) | −1.34620e9 | + | 5.79312e8i | −1.23563 | + | 0.531729i | ||||
\(383\) | 1.87842e8 | 0.170843 | 0.0854216 | − | 0.996345i | \(-0.472776\pi\) | ||||
0.0854216 | + | 0.996345i | \(0.472776\pi\) | |||||||
\(384\) | −4.65354e8 | − | 1.00728e9i | −0.419396 | − | 0.907804i | ||||
\(385\) | −4.05886e8 | −0.362486 | ||||||||
\(386\) | −1.24696e9 | + | 5.36606e8i | −1.10356 | + | 0.474897i | ||||
\(387\) | −1.53894e8 | − | 1.72058e7i | −0.134968 | − | 0.0150899i | ||||
\(388\) | 6.37385e8 | − | 6.73249e8i | 0.553976 | − | 0.585147i | ||||
\(389\) | − | 3.22401e8i | − | 0.277698i | −0.990314 | − | 0.138849i | \(-0.955660\pi\) | ||
0.990314 | − | 0.138849i | \(-0.0443403\pi\) | |||||||
\(390\) | 5.83508e8 | − | 1.25672e9i | 0.498105 | − | 1.07278i | ||||
\(391\) | 1.36454e9i | 1.15443i | ||||||||
\(392\) | −8.72540e7 | + | 2.37805e8i | −0.0731617 | + | 0.199397i | ||||
\(393\) | 7.93379e7 | + | 8.87024e7i | 0.0659336 | + | 0.0737160i | ||||
\(394\) | 1.70368e8 | + | 3.95900e8i | 0.140330 | + | 0.326099i | ||||
\(395\) | 1.07690e9 | 0.879195 | ||||||||
\(396\) | −3.56685e8 | − | 4.22258e8i | −0.288637 | − | 0.341700i | ||||
\(397\) | −1.34603e9 | −1.07966 | −0.539832 | − | 0.841773i | \(-0.681512\pi\) | ||||
−0.539832 | + | 0.841773i | \(0.681512\pi\) | |||||||
\(398\) | 4.51314e8 | + | 1.04876e9i | 0.358830 | + | 0.833845i | ||||
\(399\) | −7.44922e8 | − | 8.32848e8i | −0.587091 | − | 0.656388i | ||||
\(400\) | −3.20813e7 | − | 5.85751e8i | −0.0250635 | − | 0.457618i | ||||
\(401\) | − | 8.73134e8i | − | 0.676201i | −0.941110 | − | 0.338100i | \(-0.890216\pi\) | ||
0.941110 | − | 0.338100i | \(-0.109784\pi\) | |||||||
\(402\) | −1.80782e8 | + | 3.89355e8i | −0.138792 | + | 0.298920i | ||||
\(403\) | − | 1.15044e9i | − | 0.875579i | ||||||
\(404\) | −1.04252e9 | − | 9.86981e8i | −0.786590 | − | 0.744688i | ||||
\(405\) | 2.17300e8 | − | 9.59649e8i | 0.162543 | − | 0.717827i | ||||
\(406\) | −1.10184e9 | + | 4.74154e8i | −0.817101 | + | 0.351624i | ||||
\(407\) | −8.55172e7 | −0.0628743 | ||||||||
\(408\) | 4.71330e8 | + | 1.18672e9i | 0.343570 | + | 0.865044i | ||||
\(409\) | 1.61913e9 | 1.17017 | 0.585086 | − | 0.810971i | \(-0.301061\pi\) | ||||
0.585086 | + | 0.810971i | \(0.301061\pi\) | |||||||
\(410\) | −1.67993e9 | + | 7.22927e8i | −1.20378 | + | 0.518025i | ||||
\(411\) | −8.87566e8 | + | 7.93863e8i | −0.630601 | + | 0.564026i | ||||
\(412\) | −1.07653e9 | − | 1.01919e9i | −0.758381 | − | 0.717981i | ||||
\(413\) | 7.57535e8i | 0.529148i | ||||||||
\(414\) | 5.20693e8 | + | 1.71333e9i | 0.360645 | + | 1.18670i | ||||
\(415\) | − | 2.07810e9i | − | 1.42724i | ||||||
\(416\) | 1.04989e9 | + | 2.11325e9i | 0.715015 | + | 1.43921i | ||||
\(417\) | 1.38879e9 | − | 1.24217e9i | 0.937907 | − | 0.838889i | ||||
\(418\) | 2.11151e8 | + | 4.90670e8i | 0.141409 | + | 0.328604i | ||||
\(419\) | 1.83155e9 | 1.21638 | 0.608192 | − | 0.793790i | \(-0.291895\pi\) | ||||
0.608192 | + | 0.793790i | \(0.291895\pi\) | |||||||
\(420\) | 1.22998e9 | + | 3.48339e7i | 0.810076 | + | 0.0229419i | ||||
\(421\) | 1.29973e9 | 0.848918 | 0.424459 | − | 0.905447i | \(-0.360464\pi\) | ||||
0.424459 | + | 0.905447i | \(0.360464\pi\) | |||||||
\(422\) | −9.04445e8 | − | 2.10174e9i | −0.585853 | − | 1.36140i | ||||
\(423\) | −1.36994e8 | + | 1.22531e9i | −0.0880057 | + | 0.787147i | ||||
\(424\) | −4.74398e8 | − | 1.74063e8i | −0.302247 | − | 0.110899i | ||||
\(425\) | 6.75086e8i | 0.426578i | ||||||||
\(426\) | 1.27171e8 | + | 5.90470e7i | 0.0796994 | + | 0.0370053i | ||||
\(427\) | − | 3.13956e8i | − | 0.195151i | ||||||
\(428\) | 1.92434e7 | − | 2.03262e7i | 0.0118639 | − | 0.0125315i | ||||
\(429\) | 7.83659e8 | + | 8.76157e8i | 0.479211 | + | 0.535774i | ||||
\(430\) | −1.51375e8 | + | 6.51414e7i | −0.0918152 | + | 0.0395110i | ||||
\(431\) | 2.25303e9 | 1.35549 | 0.677746 | − | 0.735296i | \(-0.262957\pi\) | ||||
0.677746 | + | 0.735296i | \(0.262957\pi\) | |||||||
\(432\) | 1.04465e9 | + | 1.31021e9i | 0.623414 | + | 0.781892i | ||||
\(433\) | −3.38794e8 | −0.200552 | −0.100276 | − | 0.994960i | \(-0.531973\pi\) | ||||
−0.100276 | + | 0.994960i | \(0.531973\pi\) | |||||||
\(434\) | 9.38452e8 | − | 4.03845e8i | 0.551059 | − | 0.237138i | ||||
\(435\) | 6.80527e8 | + | 7.60853e8i | 0.396399 | + | 0.443188i | ||||
\(436\) | 8.63017e8 | − | 9.11578e8i | 0.498674 | − | 0.526734i | ||||
\(437\) | − | 1.73054e9i | − | 0.991968i | ||||||
\(438\) | −1.24420e8 | − | 5.77694e7i | −0.0707505 | − | 0.0328502i | ||||
\(439\) | 1.72596e9i | 0.973657i | 0.873498 | + | 0.486828i | \(0.161846\pi\) | ||||
−0.873498 | + | 0.486828i | \(0.838154\pi\) | |||||||
\(440\) | −5.52239e8 | − | 2.02624e8i | −0.309060 | − | 0.113398i | ||||
\(441\) | 4.25048e7 | − | 3.80175e8i | 0.0235995 | − | 0.211081i | ||||
\(442\) | −1.07339e9 | − | 2.49434e9i | −0.591263 | − | 1.37397i | ||||
\(443\) | −1.73582e9 | −0.948616 | −0.474308 | − | 0.880359i | \(-0.657302\pi\) | ||||
−0.474308 | + | 0.880359i | \(0.657302\pi\) | |||||||
\(444\) | 2.59148e8 | + | 7.33926e6i | 0.140510 | + | 0.00397935i | ||||
\(445\) | −7.99123e8 | −0.429886 | ||||||||
\(446\) | −2.07212e8 | − | 4.81518e8i | −0.110597 | − | 0.257005i | ||||
\(447\) | −8.63286e7 | + | 7.72146e7i | −0.0457170 | + | 0.0408906i | ||||
\(448\) | −1.35530e9 | + | 1.59826e9i | −0.712138 | + | 0.839795i | ||||
\(449\) | − | 9.57315e8i | − | 0.499106i | −0.968361 | − | 0.249553i | \(-0.919716\pi\) | ||
0.968361 | − | 0.249553i | \(-0.0802836\pi\) | |||||||
\(450\) | 2.57605e8 | + | 8.47646e8i | 0.133263 | + | 0.438501i | ||||
\(451\) | − | 1.55157e9i | − | 0.796442i | ||||||
\(452\) | −5.03363e8 | − | 4.76549e8i | −0.256388 | − | 0.242730i | ||||
\(453\) | −1.97699e9 | + | 1.76828e9i | −0.999221 | + | 0.893730i | ||||
\(454\) | 1.58525e9 | − | 6.82181e8i | 0.795062 | − | 0.342140i | ||||
\(455\) | −2.61678e9 | −1.30235 | ||||||||
\(456\) | −5.97753e8 | − | 1.50503e9i | −0.295220 | − | 0.743307i | ||||
\(457\) | −2.22751e9 | −1.09172 | −0.545862 | − | 0.837875i | \(-0.683798\pi\) | ||||
−0.545862 | + | 0.837875i | \(0.683798\pi\) | |||||||
\(458\) | −4.56355e8 | + | 1.96384e8i | −0.221959 | + | 0.0955162i | ||||
\(459\) | −1.11791e9 | − | 1.57126e9i | −0.539590 | − | 0.758409i | ||||
\(460\) | 1.38389e9 | + | 1.31017e9i | 0.662900 | + | 0.627587i | ||||
\(461\) | 2.47517e9i | 1.17666i | 0.808620 | + | 0.588331i | \(0.200215\pi\) | ||||
−0.808620 | + | 0.588331i | \(0.799785\pi\) | |||||||
\(462\) | −4.39619e8 | + | 9.46820e8i | −0.207410 | + | 0.446705i | ||||
\(463\) | 2.48039e9i | 1.16141i | 0.814113 | + | 0.580706i | \(0.197223\pi\) | ||||
−0.814113 | + | 0.580706i | \(0.802777\pi\) | |||||||
\(464\) | −1.73584e9 | + | 9.50709e7i | −0.806670 | + | 0.0441809i | ||||
\(465\) | −5.79617e8 | − | 6.48031e8i | −0.267335 | − | 0.298889i | ||||
\(466\) | 1.08484e9 | + | 2.52095e9i | 0.496611 | + | 1.15402i | ||||
\(467\) | 1.07555e9 | 0.488677 | 0.244339 | − | 0.969690i | \(-0.421429\pi\) | ||||
0.244339 | + | 0.969690i | \(0.421429\pi\) | |||||||
\(468\) | −2.29958e9 | − | 2.72233e9i | −1.03702 | − | 1.22767i | ||||
\(469\) | 8.10726e8 | 0.362885 | ||||||||
\(470\) | 5.18661e8 | + | 1.20526e9i | 0.230431 | + | 0.535473i | ||||
\(471\) | −7.92632e8 | − | 8.86190e8i | −0.349541 | − | 0.390799i | ||||
\(472\) | −3.78173e8 | + | 1.03068e9i | −0.165536 | + | 0.451158i | ||||
\(473\) | − | 1.39809e8i | − | 0.0607464i | ||||||
\(474\) | 1.16640e9 | − | 2.51211e9i | 0.503064 | − | 1.08346i | ||||
\(475\) | − | 8.56162e8i | − | 0.366546i | ||||||
\(476\) | 1.65792e9 | − | 1.75121e9i | 0.704595 | − | 0.744241i | ||||
\(477\) | 7.58413e8 | + | 8.47931e7i | 0.319957 | + | 0.0357723i | ||||
\(478\) | 1.39476e9 | − | 6.00209e8i | 0.584119 | − | 0.251365i | ||||
\(479\) | −3.09105e8 | −0.128508 | −0.0642541 | − | 0.997934i | \(-0.520467\pi\) | ||||
−0.0642541 | + | 0.997934i | \(0.520467\pi\) | |||||||
\(480\) | 1.65609e9 | + | 6.61419e8i | 0.683504 | + | 0.272981i | ||||
\(481\) | −5.51336e8 | −0.225896 | ||||||||
\(482\) | 4.35666e9 | − | 1.87481e9i | 1.77211 | − | 0.762593i | ||||
\(483\) | 2.52072e9 | − | 2.25460e9i | 1.01791 | − | 0.910446i | ||||
\(484\) | −1.37178e9 | + | 1.44896e9i | −0.549952 | + | 0.580897i | ||||
\(485\) | 1.49002e9i | 0.593056i | ||||||||
\(486\) | −2.00324e9 | − | 1.54631e9i | −0.791600 | − | 0.611039i | ||||
\(487\) | 2.10568e9i | 0.826115i | 0.910705 | + | 0.413058i | \(0.135539\pi\) | ||||
−0.910705 | + | 0.413058i | \(0.864461\pi\) | |||||||
\(488\) | 1.56732e8 | − | 4.27161e8i | 0.0610502 | − | 0.166388i | ||||
\(489\) | −1.40909e9 | + | 1.26033e9i | −0.544952 | + | 0.487420i | ||||
\(490\) | −1.60924e8 | − | 3.73953e8i | −0.0617922 | − | 0.143592i | ||||
\(491\) | −5.94413e8 | −0.226622 | −0.113311 | − | 0.993560i | \(-0.536146\pi\) | ||||
−0.113311 | + | 0.993560i | \(0.536146\pi\) | |||||||
\(492\) | −1.33159e8 | + | 4.70183e9i | −0.0504072 | + | 1.77987i | ||||
\(493\) | 2.00058e9 | 0.751953 | ||||||||
\(494\) | 1.36131e9 | + | 3.16339e9i | 0.508056 | + | 1.18061i | ||||
\(495\) | 8.82855e8 | + | 9.87062e7i | 0.327168 | + | 0.0365785i | ||||
\(496\) | 1.47844e9 | − | 8.09735e7i | 0.544025 | − | 0.0297959i | ||||
\(497\) | − | 2.64800e8i | − | 0.0967542i | ||||||
\(498\) | −4.84764e9 | − | 2.25081e9i | −1.75884 | − | 0.816651i | ||||
\(499\) | − | 3.39922e9i | − | 1.22469i | −0.790590 | − | 0.612346i | \(-0.790226\pi\) | ||
0.790590 | − | 0.612346i | \(-0.209774\pi\) | |||||||
\(500\) | 2.17855e9 | + | 2.06250e9i | 0.779422 | + | 0.737902i | ||||
\(501\) | −1.65468e9 | − | 1.84999e9i | −0.587870 | − | 0.657259i | ||||
\(502\) | 4.61991e9 | − | 1.98809e9i | 1.62994 | − | 0.701413i | ||||
\(503\) | −4.02401e9 | −1.40985 | −0.704923 | − | 0.709284i | \(-0.749018\pi\) | ||||
−0.704923 | + | 0.709284i | \(0.749018\pi\) | |||||||
\(504\) | 1.41346e9 | − | 2.83148e9i | 0.491788 | − | 0.985160i | ||||
\(505\) | 2.30727e9 | 0.797222 | ||||||||
\(506\) | −1.48507e9 | + | 6.39074e8i | −0.509590 | + | 0.219293i | ||||
\(507\) | 3.09600e9 | + | 3.46144e9i | 1.05505 | + | 1.17958i | ||||
\(508\) | −1.53833e9 | − | 1.45638e9i | −0.520628 | − | 0.492893i | ||||
\(509\) | 1.18155e9i | 0.397136i | 0.980087 | + | 0.198568i | \(0.0636291\pi\) | ||||
−0.980087 | + | 0.198568i | \(0.936371\pi\) | |||||||
\(510\) | −1.86134e9 | − | 8.64239e8i | −0.621340 | − | 0.288495i | ||||
\(511\) | 2.59070e8i | 0.0858904i | ||||||||
\(512\) | −2.64187e9 | + | 1.49796e9i | −0.869895 | + | 0.493237i | ||||
\(513\) | 1.41777e9 | + | 1.99271e9i | 0.463654 | + | 0.651679i | ||||
\(514\) | −1.45335e8 | − | 3.37728e8i | −0.0472062 | − | 0.109697i | ||||
\(515\) | 2.38256e9 | 0.768631 | ||||||||
\(516\) | −1.19987e7 | + | 4.23672e8i | −0.00384467 | + | 0.135755i | ||||
\(517\) | −1.11317e9 | −0.354278 | ||||||||
\(518\) | −1.93539e8 | − | 4.49744e8i | −0.0611807 | − | 0.142171i | ||||
\(519\) | 2.72135e8 | − | 2.43405e8i | 0.0854475 | − | 0.0764266i | ||||
\(520\) | −3.56033e9 | − | 1.30633e9i | −1.11040 | − | 0.407420i | ||||
\(521\) | − | 3.54418e9i | − | 1.09795i | −0.835838 | − | 0.548976i | \(-0.815018\pi\) | ||
0.835838 | − | 0.548976i | \(-0.184982\pi\) | |||||||
\(522\) | 2.51195e9 | − | 7.63397e8i | 0.772972 | − | 0.234911i | ||||
\(523\) | 2.88980e9i | 0.883307i | 0.897186 | + | 0.441654i | \(0.145608\pi\) | ||||
−0.897186 | + | 0.441654i | \(0.854392\pi\) | |||||||
\(524\) | 2.23939e8 | − | 2.36540e8i | 0.0679940 | − | 0.0718199i | ||||
\(525\) | 1.24709e9 | − | 1.11543e9i | 0.376131 | − | 0.336422i | ||||
\(526\) | −4.43077e9 | + | 1.90670e9i | −1.32748 | + | 0.571257i | ||||
\(527\) | −1.70392e9 | −0.507123 | ||||||||
\(528\) | −1.07080e9 | + | 1.06876e9i | −0.316585 | + | 0.315981i | ||||
\(529\) | 1.83288e9 | 0.538319 | ||||||||
\(530\) | 7.46000e8 | − | 3.21027e8i | 0.217657 | − | 0.0936648i | ||||
\(531\) | 1.84223e8 | − | 1.64774e9i | 0.0533965 | − | 0.477593i | ||||
\(532\) | −2.10262e9 | + | 2.22093e9i | −0.605438 | + | 0.639505i | ||||
\(533\) | − | 1.00031e10i | − | 2.86147i | ||||||
\(534\) | −8.65539e8 | + | 1.86414e9i | −0.245976 | + | 0.529765i | ||||
\(535\) | 4.49854e7i | 0.0127009i | ||||||||
\(536\) | 1.10306e9 | + | 4.04727e8i | 0.309400 | + | 0.113523i | ||||
\(537\) | 2.34517e9 | + | 2.62198e9i | 0.653529 | + | 0.730668i | ||||
\(538\) | 1.34326e9 | + | 3.12145e9i | 0.371895 | + | 0.864207i | ||||
\(539\) | 3.45380e8 | 0.0950029 | ||||||||
\(540\) | −2.66690e9 | − | 3.74884e8i | −0.728834 | − | 0.102452i | ||||
\(541\) | −4.59048e8 | −0.124643 | −0.0623215 | − | 0.998056i | \(-0.519850\pi\) | ||||
−0.0623215 | + | 0.998056i | \(0.519850\pi\) | |||||||
\(542\) | −7.54081e8 | − | 1.75233e9i | −0.203433 | − | 0.472735i | ||||
\(543\) | 1.13199e9 | + | 1.26561e9i | 0.303420 | + | 0.339234i | ||||
\(544\) | 3.12996e9 | − | 1.55500e9i | 0.833571 | − | 0.414126i | ||||
\(545\) | 2.01748e9i | 0.533853i | ||||||||
\(546\) | −2.83426e9 | + | 6.10422e9i | −0.745187 | + | 1.60493i | ||||
\(547\) | − | 6.87269e7i | − | 0.0179544i | −0.999960 | − | 0.00897720i | \(-0.997142\pi\) | ||
0.999960 | − | 0.00897720i | \(-0.00285757\pi\) | |||||||
\(548\) | 2.36684e9 | + | 2.24076e9i | 0.614381 | + | 0.581652i | ||||
\(549\) | −7.63501e7 | + | 6.82896e8i | −0.0196928 | + | 0.176137i | ||||
\(550\) | −7.34719e8 | + | 3.16173e8i | −0.188301 | + | 0.0810317i | ||||
\(551\) | −2.53718e9 | −0.646132 | ||||||||
\(552\) | 4.55516e9 | − | 1.80917e9i | 1.15270 | − | 0.457819i | ||||
\(553\) | −5.23079e9 | −1.31531 | ||||||||
\(554\) | −4.36743e9 | + | 1.87944e9i | −1.09129 | + | 0.469619i | ||||
\(555\) | −3.10563e8 | + | 2.77776e8i | −0.0771123 | + | 0.0689713i | ||||
\(556\) | −3.70343e9 | − | 3.50615e9i | −0.913783 | − | 0.865105i | ||||
\(557\) | 1.71176e9i | 0.419710i | 0.977732 | + | 0.209855i | \(0.0672992\pi\) | ||||
−0.977732 | + | 0.209855i | \(0.932701\pi\) | |||||||
\(558\) | −2.13947e9 | + | 6.50198e8i | −0.521298 | + | 0.158426i | ||||
\(559\) | − | 9.01359e8i | − | 0.218251i | ||||||
\(560\) | −1.84182e8 | − | 3.36285e9i | −0.0443188 | − | 0.809188i | ||||
\(561\) | 1.29768e9 | − | 1.16068e9i | 0.310312 | − | 0.277552i | ||||
\(562\) | −2.28058e9 | − | 5.29959e9i | −0.541962 | − | 1.25940i | ||||
\(563\) | 1.29253e9 | 0.305255 | 0.152627 | − | 0.988284i | \(-0.451227\pi\) | ||||
0.152627 | + | 0.988284i | \(0.451227\pi\) | |||||||
\(564\) | 3.37331e9 | + | 9.55343e7i | 0.791733 | + | 0.0224224i | ||||
\(565\) | 1.11403e9 | 0.259853 | ||||||||
\(566\) | 6.91561e7 | + | 1.60704e8i | 0.0160315 | + | 0.0372537i | ||||
\(567\) | −1.05549e9 | + | 4.66128e9i | −0.243171 | + | 1.07390i | ||||
\(568\) | 1.32192e8 | − | 3.60280e8i | 0.0302682 | − | 0.0824938i | ||||
\(569\) | 5.52303e9i | 1.25685i | 0.777869 | + | 0.628426i | \(0.216301\pi\) | ||||
−0.777869 | + | 0.628426i | \(0.783699\pi\) | |||||||
\(570\) | 2.36060e9 | + | 1.09605e9i | 0.533900 | + | 0.247896i | ||||
\(571\) | − | 6.19314e9i | − | 1.39215i | −0.717971 | − | 0.696073i | \(-0.754929\pi\) | ||
0.717971 | − | 0.696073i | \(-0.245071\pi\) | |||||||
\(572\) | 2.21196e9 | − | 2.33642e9i | 0.494186 | − | 0.521993i | ||||
\(573\) | −4.03860e9 | − | 4.51529e9i | −0.896787 | − | 1.00264i | ||||
\(574\) | 8.15988e9 | − | 3.51145e9i | 1.80091 | − | 0.774988i | ||||
\(575\) | 2.59128e9 | 0.568430 | ||||||||
\(576\) | 3.33664e9 | − | 3.14683e9i | 0.727497 | − | 0.686111i | ||||
\(577\) | −2.63098e9 | −0.570167 | −0.285083 | − | 0.958503i | \(-0.592021\pi\) | ||||
−0.285083 | + | 0.958503i | \(0.592021\pi\) | |||||||
\(578\) | 5.69972e8 | − | 2.45277e8i | 0.122774 | − | 0.0528335i | ||||
\(579\) | −3.74088e9 | − | 4.18243e9i | −0.800937 | − | 0.895475i | ||||
\(580\) | 1.92086e9 | − | 2.02894e9i | 0.408787 | − | 0.431789i | ||||
\(581\) | 1.00939e10i | 2.13522i | ||||||||
\(582\) | 3.47581e9 | + | 1.61386e9i | 0.730845 | + | 0.339339i | ||||
\(583\) | 6.89001e8i | 0.144006i | ||||||||
\(584\) | −1.29332e8 | + | 3.52485e8i | −0.0268696 | + | 0.0732312i | ||||
\(585\) | 5.69184e9 | + | 6.36367e8i | 1.17546 | + | 0.131420i | ||||
\(586\) | 3.54724e9 | + | 8.24303e9i | 0.728196 | + | 1.69218i | ||||
\(587\) | 6.81888e8 | 0.139149 | 0.0695744 | − | 0.997577i | \(-0.477836\pi\) | ||||
0.0695744 | + | 0.997577i | \(0.477836\pi\) | |||||||
\(588\) | −1.04663e9 | − | 2.96412e7i | −0.212311 | − | 0.00601278i | ||||
\(589\) | 2.16096e9 | 0.435756 | ||||||||
\(590\) | −6.97469e8 | − | 1.62077e9i | −0.139812 | − | 0.324893i | ||||
\(591\) | −1.32789e9 | + | 1.18770e9i | −0.264610 | + | 0.236674i | ||||
\(592\) | −3.88058e7 | − | 7.08529e8i | −0.00768724 | − | 0.140356i | ||||
\(593\) | 8.90525e8i | 0.175370i | 0.996148 | + | 0.0876849i | \(0.0279468\pi\) | ||||
−0.996148 | + | 0.0876849i | \(0.972053\pi\) | |||||||
\(594\) | 1.18648e9 | − | 1.95255e9i | 0.232279 | − | 0.382252i | ||||
\(595\) | 3.87573e9i | 0.754300i | ||||||||
\(596\) | 2.30210e8 | + | 2.17946e8i | 0.0445411 | + | 0.0421684i | ||||
\(597\) | −3.51765e9 | + | 3.14628e9i | −0.676616 | + | 0.605183i | ||||
\(598\) | −9.57439e9 | + | 4.12016e9i | −1.83087 | + | 0.787880i | ||||
\(599\) | 8.68984e9 | 1.65203 | 0.826015 | − | 0.563648i | \(-0.190602\pi\) | ||||
0.826015 | + | 0.563648i | \(0.190602\pi\) | |||||||
\(600\) | 2.25360e9 | − | 8.95063e8i | 0.425939 | − | 0.169170i | ||||
\(601\) | −6.48769e9 | −1.21907 | −0.609536 | − | 0.792758i | \(-0.708644\pi\) | ||||
−0.609536 | + | 0.792758i | \(0.708644\pi\) | |||||||
\(602\) | 7.35269e8 | − | 3.16410e8i | 0.137360 | − | 0.0591101i | ||||
\(603\) | −1.76344e9 | − | 1.97158e8i | −0.327529 | − | 0.0366188i | ||||
\(604\) | 5.27198e9 | + | 4.99114e9i | 0.973520 | + | 0.921660i | ||||
\(605\) | − | 3.20681e9i | − | 0.588748i | ||||||
\(606\) | 2.49903e9 | − | 5.38224e9i | 0.456161 | − | 0.982446i | ||||
\(607\) | − | 7.67054e9i | − | 1.39209i | −0.718001 | − | 0.696043i | \(-0.754942\pi\) | ||
0.718001 | − | 0.696043i | \(-0.245058\pi\) | |||||||
\(608\) | −3.96949e9 | + | 1.97209e9i | −0.716263 | + | 0.355847i | ||||
\(609\) | −3.30551e9 | − | 3.69567e9i | −0.593031 | − | 0.663029i | ||||
\(610\) | 2.89062e8 | + | 6.71720e8i | 0.0515628 | + | 0.119821i | ||||
\(611\) | −7.17669e9 | −1.27286 | ||||||||
\(612\) | −4.03207e9 | + | 3.40593e9i | −0.711047 | + | 0.600628i | ||||
\(613\) | 1.01986e10 | 1.78825 | 0.894123 | − | 0.447821i | \(-0.147800\pi\) | ||||
0.894123 | + | 0.447821i | \(0.147800\pi\) | |||||||
\(614\) | −2.27036e9 | − | 5.27585e9i | −0.395828 | − | 0.919821i | ||||
\(615\) | −5.03979e9 | − | 5.63466e9i | −0.873674 | − | 0.976798i | ||||
\(616\) | 2.68237e9 | + | 9.84201e8i | 0.462367 | + | 0.169649i | ||||
\(617\) | − | 7.66633e9i | − | 1.31398i | −0.753898 | − | 0.656991i | \(-0.771829\pi\) | ||
0.753898 | − | 0.656991i | \(-0.228171\pi\) | |||||||
\(618\) | 2.58057e9 | − | 5.55786e9i | 0.439801 | − | 0.947213i | ||||
\(619\) | 7.72256e9i | 1.30871i | 0.756187 | + | 0.654356i | \(0.227060\pi\) | ||||
−0.756187 | + | 0.654356i | \(0.772940\pi\) | |||||||
\(620\) | −1.63603e9 | + | 1.72808e9i | −0.275689 | + | 0.291202i | ||||
\(621\) | −6.03119e9 | + | 4.29105e9i | −1.01061 | + | 0.719023i | ||||
\(622\) | −2.90137e9 | + | 1.24855e9i | −0.483434 | + | 0.208037i | ||||
\(623\) | 3.88156e9 | 0.643129 | ||||||||
\(624\) | −6.90355e9 | + | 6.89037e9i | −1.13743 | + | 1.13526i | ||||
\(625\) | −2.02425e9 | −0.331653 | ||||||||
\(626\) | −7.20020e8 | + | 3.09847e8i | −0.117310 | + | 0.0504821i | ||||
\(627\) | −1.64576e9 | + | 1.47201e9i | −0.266643 | + | 0.238492i | ||||
\(628\) | −2.23728e9 | + | 2.36317e9i | −0.360465 | + | 0.380747i | ||||
\(629\) | 8.16589e8i | 0.130836i | ||||||||
\(630\) | 1.47893e9 | + | 4.86642e9i | 0.235644 | + | 0.775385i | ||||
\(631\) | 3.86511e9i | 0.612433i | 0.951962 | + | 0.306217i | \(0.0990632\pi\) | ||||
−0.951962 | + | 0.306217i | \(0.900937\pi\) | |||||||
\(632\) | −7.11690e9 | − | 2.61129e9i | −1.12145 | − | 0.411477i | ||||
\(633\) | 7.04945e9 | − | 6.30522e9i | 1.10470 | − | 0.988069i | ||||
\(634\) | −4.01358e9 | − | 9.32673e9i | −0.625489 | − | 1.45351i | ||||
\(635\) | 3.40460e9 | 0.527665 | ||||||||
\(636\) | 5.91314e7 | − | 2.08792e9i | 0.00911420 | − | 0.321821i | ||||
\(637\) | 2.22669e9 | 0.341328 | ||||||||
\(638\) | 9.36958e8 | + | 2.17729e9i | 0.142839 | + | 0.331928i | ||||
\(639\) | −6.43959e7 | + | 5.75975e8i | −0.00976350 | + | 0.0873274i | ||||
\(640\) | 1.42819e9 | − | 4.66737e9i | 0.215356 | − | 0.703788i | ||||
\(641\) | 3.14005e9i | 0.470905i | 0.971886 | + | 0.235453i | \(0.0756573\pi\) | ||||
−0.971886 | + | 0.235453i | \(0.924343\pi\) | |||||||
\(642\) | 1.04939e8 | + | 4.87242e7i | 0.0156518 | + | 0.00726728i | ||||
\(643\) | 7.73104e9i | 1.14683i | 0.819265 | + | 0.573416i | \(0.194382\pi\) | ||||
−0.819265 | + | 0.573416i | \(0.805618\pi\) | |||||||
\(644\) | −6.72191e9 | − | 6.36383e9i | −0.991727 | − | 0.938897i | ||||
\(645\) | −4.54125e8 | − | 5.07727e8i | −0.0666371 | − | 0.0745026i | ||||
\(646\) | 4.68533e9 | − | 2.01624e9i | 0.683795 | − | 0.294259i | ||||
\(647\) | −2.19275e9 | −0.318290 | −0.159145 | − | 0.987255i | \(-0.550874\pi\) | ||||
−0.159145 | + | 0.987255i | \(0.550874\pi\) | |||||||
\(648\) | −3.76305e9 | + | 5.81511e9i | −0.543285 | + | 0.839548i | ||||
\(649\) | 1.49693e9 | 0.214954 | ||||||||
\(650\) | −4.73679e9 | + | 2.03839e9i | −0.676530 | + | 0.291132i | ||||
\(651\) | 2.81536e9 | + | 3.14766e9i | 0.399945 | + | 0.447152i | ||||
\(652\) | 3.75758e9 | + | 3.55741e9i | 0.530935 | + | 0.502652i | ||||
\(653\) | − | 6.45493e9i | − | 0.907184i | −0.891209 | − | 0.453592i | \(-0.850142\pi\) | ||
0.891209 | − | 0.453592i | \(-0.149858\pi\) | |||||||
\(654\) | 4.70623e9 | + | 2.18516e9i | 0.657887 | + | 0.305464i | ||||
\(655\) | 5.23504e8i | 0.0727907i | ||||||||
\(656\) | 1.28551e10 | − | 7.04068e8i | 1.77792 | − | 0.0973758i | ||||
\(657\) | 6.30026e7 | − | 5.63512e8i | 0.00866722 | − | 0.0775220i | ||||
\(658\) | −2.51928e9 | − | 5.85427e9i | −0.344735 | − | 0.801092i | ||||
\(659\) | 7.43719e9 | 1.01230 | 0.506151 | − | 0.862445i | \(-0.331068\pi\) | ||||
0.506151 | + | 0.862445i | \(0.331068\pi\) | |||||||
\(660\) | 6.88339e7 | − | 2.43052e9i | 0.00931962 | − | 0.329075i | ||||
\(661\) | 2.66092e9 | 0.358365 | 0.179183 | − | 0.983816i | \(-0.442655\pi\) | ||||
0.179183 | + | 0.983816i | \(0.442655\pi\) | |||||||
\(662\) | 5.32793e9 | + | 1.23810e10i | 0.713765 | + | 1.65864i | ||||
\(663\) | 8.36628e9 | − | 7.48302e9i | 1.11490 | − | 0.997194i | ||||
\(664\) | −5.03902e9 | + | 1.37335e10i | −0.667972 | + | 1.82051i | ||||
\(665\) | − | 4.91530e9i | − | 0.648149i | ||||||
\(666\) | 3.11601e8 | + | 1.02532e9i | 0.0408733 | + | 0.134493i | ||||
\(667\) | − | 7.67910e9i | − | 1.00200i | ||||||
\(668\) | −4.67049e9 | + | 4.93329e9i | −0.606241 | + | 0.640353i | ||||
\(669\) | 1.61506e9 | − | 1.44455e9i | 0.208544 | − | 0.186527i | ||||
\(670\) | −1.73458e9 | + | 7.46443e8i | −0.222809 | + | 0.0958815i | ||||
\(671\) | −6.20396e8 | −0.0792757 | ||||||||
\(672\) | −8.04410e9 | − | 3.21269e9i | −1.02255 | − | 0.408392i | ||||
\(673\) | 9.42499e9 | 1.19187 | 0.595934 | − | 0.803033i | \(-0.296782\pi\) | ||||
0.595934 | + | 0.803033i | \(0.296782\pi\) | |||||||
\(674\) | 1.20130e10 | − | 5.16957e9i | 1.51127 | − | 0.650346i | ||||
\(675\) | −2.98384e9 | + | 2.12293e9i | −0.373433 | + | 0.265689i | ||||
\(676\) | 8.73879e9 | − | 9.23050e9i | 1.08802 | − | 1.14924i | ||||
\(677\) | 1.08473e10i | 1.34357i | 0.740746 | + | 0.671785i | \(0.234472\pi\) | ||||
−0.740746 | + | 0.671785i | \(0.765528\pi\) | |||||||
\(678\) | 1.20662e9 | − | 2.59873e9i | 0.148685 | − | 0.320227i | ||||
\(679\) | − | 7.23743e9i | − | 0.887238i | ||||||
\(680\) | −1.93482e9 | + | 5.27323e9i | −0.235972 | + | 0.643126i | ||||
\(681\) | 4.75574e9 | + | 5.31707e9i | 0.577036 | + | 0.645146i | ||||
\(682\) | −7.98023e8 | − | 1.85444e9i | −0.0963319 | − | 0.223855i | ||||
\(683\) | −1.18751e10 | −1.42615 | −0.713075 | − | 0.701088i | \(-0.752698\pi\) | ||||
−0.713075 | + | 0.701088i | \(0.752698\pi\) | |||||||
\(684\) | 5.11358e9 | − | 4.31948e9i | 0.610982 | − | 0.516102i | ||||
\(685\) | −5.23824e9 | −0.622685 | ||||||||
\(686\) | −2.89851e9 | − | 6.73553e9i | −0.342800 | − | 0.796594i | ||||
\(687\) | −1.36907e9 | − | 1.53066e9i | −0.161093 | − | 0.180107i | ||||
\(688\) | 1.15835e9 | − | 6.34421e7i | 0.135606 | − | 0.00742708i | ||||
\(689\) | 4.44204e9i | 0.517387i | ||||||||
\(690\) | −3.31733e9 | + | 7.14464e9i | −0.384430 | + | 0.827958i | ||||
\(691\) | − | 9.50025e8i | − | 0.109537i | −0.998499 | − | 0.0547686i | \(-0.982558\pi\) | ||
0.998499 | − | 0.0547686i | \(-0.0174421\pi\) | |||||||
\(692\) | −7.25695e8 | − | 6.87036e8i | −0.0832497 | − | 0.0788149i | ||||
\(693\) | −4.28827e9 | − | 4.79443e8i | −0.489458 | − | 0.0547231i | ||||
\(694\) | −1.36839e10 | + | 5.88861e9i | −1.55400 | + | 0.668736i | ||||
\(695\) | 8.19635e9 | 0.926134 | ||||||||
\(696\) | −2.65246e9 | − | 6.67840e9i | −0.298206 | − | 0.750828i | ||||
\(697\) | −1.48157e10 | −1.65732 | ||||||||
\(698\) | −2.90064e9 | + | 1.24824e9i | −0.322850 | + | 0.138932i | ||||
\(699\) | −8.45551e9 | + | 7.56284e9i | −0.936418 | + | 0.837558i | ||||
\(700\) | −3.32557e9 | − | 3.14841e9i | −0.366457 | − | 0.346935i | ||||
\(701\) | − | 7.66122e9i | − | 0.840011i | −0.907522 | − | 0.420006i | \(-0.862028\pi\) | ||
0.907522 | − | 0.420006i | \(-0.137972\pi\) | |||||||
\(702\) | 7.64936e9 | − | 1.25882e10i | 0.834536 | − | 1.37336i | ||||
\(703\) | − | 1.03562e9i | − | 0.112423i | ||||||
\(704\) | 3.15825e9 | + | 2.67816e9i | 0.341147 | + | 0.289290i | ||||
\(705\) | −4.04256e9 | + | 3.61578e9i | −0.434505 | + | 0.388633i | ||||
\(706\) | 2.86044e9 | + | 6.64706e9i | 0.305926 | + | 0.710908i | ||||
\(707\) | −1.12071e10 | −1.19268 | ||||||||
\(708\) | −4.53625e9 | − | 1.28470e8i | −0.480376 | − | 0.0136046i | ||||
\(709\) | −6.07576e9 | −0.640234 | −0.320117 | − | 0.947378i | \(-0.603722\pi\) | ||||
−0.320117 | + | 0.947378i | \(0.603722\pi\) | |||||||
\(710\) | 2.43803e8 | + | 5.66548e8i | 0.0255644 | + | 0.0594063i | ||||
\(711\) | 1.13777e10 | + | 1.27206e9i | 1.18716 | + | 0.132729i | ||||
\(712\) | 5.28116e9 | + | 1.93773e9i | 0.548339 | + | 0.201194i | ||||
\(713\) | 6.54042e9i | 0.675759i | ||||||||
\(714\) | 9.04103e9 | + | 4.19785e9i | 0.929553 | + | 0.431601i | ||||
\(715\) | 5.17091e9i | 0.529049i | ||||||||
\(716\) | 6.61949e9 | − | 6.99196e9i | 0.673952 | − | 0.711874i | ||||
\(717\) | 4.18428e9 | + | 4.67817e9i | 0.423939 | + | 0.473978i | ||||
\(718\) | 7.33938e9 | − | 3.15837e9i | 0.739987 | − | 0.318440i | ||||
\(719\) | −1.50425e10 | −1.50928 | −0.754639 | − | 0.656140i | \(-0.772188\pi\) | ||||
−0.754639 | + | 0.656140i | \(0.772188\pi\) | |||||||
\(720\) | −4.17183e8 | + | 7.35944e9i | −0.0416546 | + | 0.734820i | ||||
\(721\) | −1.15727e10 | −1.14991 | ||||||||
\(722\) | 3.34734e9 | − | 1.44046e9i | 0.330993 | − | 0.142437i | ||||
\(723\) | 1.30700e10 | + | 1.46127e10i | 1.28615 | + | 1.43796i | ||||
\(724\) | 3.19517e9 | − | 3.37495e9i | 0.312902 | − | 0.330508i | ||||
\(725\) | − | 3.79912e9i | − | 0.370254i | ||||||
\(726\) | −7.48062e9 | − | 3.47333e9i | −0.725537 | − | 0.336875i | ||||
\(727\) | − | 9.39530e9i | − | 0.906860i | −0.891292 | − | 0.453430i | \(-0.850200\pi\) | ||
0.891292 | − | 0.453430i | \(-0.149800\pi\) | |||||||
\(728\) | 1.72935e10 | + | 6.34522e9i | 1.66120 | + | 0.609519i | ||||
\(729\) | 3.42939e9 | − | 9.88222e9i | 0.327846 | − | 0.944731i | ||||
\(730\) | −2.38528e8 | − | 5.54290e8i | −0.0226939 | − | 0.0527360i | ||||
\(731\) | −1.33501e9 | −0.126408 | ||||||||
\(732\) | 1.88003e9 | + | 5.32436e7i | 0.177164 | + | 0.00501740i | ||||
\(733\) | 7.71856e9 | 0.723890 | 0.361945 | − | 0.932200i | \(-0.382113\pi\) | ||||
0.361945 | + | 0.932200i | \(0.382113\pi\) | |||||||
\(734\) | −6.80665e9 | − | 1.58172e10i | −0.635327 | − | 1.47637i | ||||
\(735\) | 1.25428e9 | − | 1.12186e9i | 0.116516 | − | 0.104215i | ||||
\(736\) | −5.96876e9 | − | 1.20142e10i | −0.551838 | − | 1.11076i | ||||
\(737\) | − | 1.60204e9i | − | 0.147414i | ||||||
\(738\) | −1.86028e10 | + | 5.65350e9i | −1.70365 | + | 0.517750i | ||||
\(739\) | 3.96381e8i | 0.0361291i | 0.999837 | + | 0.0180646i | \(0.00575044\pi\) | ||||
−0.999837 | + | 0.0180646i | \(0.994250\pi\) | |||||||
\(740\) | 8.28167e8 | + | 7.84050e8i | 0.0751289 | + | 0.0711267i | ||||
\(741\) | −1.06103e10 | + | 9.49017e9i | −0.957999 | + | 0.856860i | ||||
\(742\) | −3.62353e9 | + | 1.55932e9i | −0.325625 | + | 0.140127i | ||||
\(743\) | 4.86457e9 | 0.435094 | 0.217547 | − | 0.976050i | \(-0.430194\pi\) | ||||
0.217547 | + | 0.976050i | \(0.430194\pi\) | |||||||
\(744\) | 2.25915e9 | + | 5.68811e9i | 0.201113 | + | 0.506364i | ||||
\(745\) | −5.09494e8 | −0.0451432 | ||||||||
\(746\) | −4.35645e9 | + | 1.87472e9i | −0.384191 | + | 0.165329i | ||||
\(747\) | 2.45471e9 | − | 2.19556e10i | 0.215465 | − | 1.92718i | ||||
\(748\) | −3.46049e9 | − | 3.27615e9i | −0.302331 | − | 0.286225i | ||||
\(749\) | − | 2.18506e8i | − | 0.0190011i | ||||||
\(750\) | −5.22224e9 | + | 1.12473e10i | −0.452004 | + | 0.973494i | ||||
\(751\) | 8.71438e9i | 0.750753i | 0.926872 | + | 0.375376i | \(0.122487\pi\) | ||||
−0.926872 | + | 0.375376i | \(0.877513\pi\) | |||||||
\(752\) | −5.05131e8 | − | 9.22285e9i | −0.0433153 | − | 0.790866i | ||||
\(753\) | 1.38597e10 | + | 1.54957e10i | 1.18297 | + | 1.32260i | ||||
\(754\) | 6.04064e9 | + | 1.40372e10i | 0.513196 | + | 1.19256i | ||||
\(755\) | −1.16678e10 | −0.986678 | ||||||||
\(756\) | 1.29539e10 | + | 1.82091e9i | 1.09037 | + | 0.153272i | ||||
\(757\) | 1.67972e10 | 1.40735 | 0.703673 | − | 0.710524i | \(-0.251542\pi\) | ||||
0.703673 | + | 0.710524i | \(0.251542\pi\) | |||||||
\(758\) | 8.23076e9 | + | 1.91266e10i | 0.686432 | + | 1.59512i | ||||
\(759\) | −4.45522e9 | − | 4.98109e9i | −0.369848 | − | 0.413502i | ||||
\(760\) | 2.45379e9 | − | 6.68765e9i | 0.202764 | − | 0.552619i | ||||
\(761\) | − | 4.88336e8i | − | 0.0401673i | −0.999798 | − | 0.0200836i | \(-0.993607\pi\) | ||
0.999798 | − | 0.0200836i | \(-0.00639325\pi\) | |||||||
\(762\) | 3.68756e9 | − | 7.94200e9i | 0.301923 | − | 0.650261i | ||||
\(763\) | − | 9.79946e9i | − | 0.798668i | ||||||
\(764\) | −1.13993e10 | + | 1.20408e10i | −0.924811 | + | 0.976849i | ||||
\(765\) | 9.42529e8 | − | 8.43024e9i | 0.0761167 | − | 0.680808i | ||||
\(766\) | 1.95211e9 | − | 8.40056e8i | 0.156930 | − | 0.0675317i | ||||
\(767\) | 9.65085e9 | 0.772292 | ||||||||
\(768\) | −9.34080e9 | − | 8.38686e9i | −0.744080 | − | 0.668090i | ||||
\(769\) | 9.73330e9 | 0.771824 | 0.385912 | − | 0.922536i | \(-0.373887\pi\) | ||||
0.385912 | + | 0.922536i | \(0.373887\pi\) | |||||||
\(770\) | −4.21809e9 | + | 1.81518e9i | −0.332965 | + | 0.143285i | ||||
\(771\) | 1.13277e9 | − | 1.01318e9i | 0.0890129 | − | 0.0796156i | ||||
\(772\) | −1.05590e10 | + | 1.11531e10i | −0.825966 | + | 0.872442i | ||||
\(773\) | − | 2.10035e10i | − | 1.63555i | −0.575540 | − | 0.817774i | \(-0.695208\pi\) | ||
0.575540 | − | 0.817774i | \(-0.304792\pi\) | |||||||
\(774\) | −1.67626e9 | + | 5.09425e8i | −0.129941 | + | 0.0394900i | ||||
\(775\) | 3.23578e9i | 0.249702i | ||||||||
\(776\) | 3.61304e9 | − | 9.84708e9i | 0.277560 | − | 0.756470i | ||||
\(777\) | 1.50849e9 | − | 1.34923e9i | 0.115363 | − | 0.103184i | ||||
\(778\) | −1.44182e9 | − | 3.35049e9i | −0.109770 | − | 0.255082i | ||||
\(779\) | 1.87897e10 | 1.42409 | ||||||||
\(780\) | 4.43777e8 | − | 1.56697e10i | 0.0334837 | − | 1.18231i | ||||
\(781\) | −5.23260e8 | −0.0393042 | ||||||||
\(782\) | 6.10241e9 | + | 1.41807e10i | 0.456329 | + | 1.06041i | ||||
\(783\) | 6.29118e9 | + | 8.84243e9i | 0.468345 | + | 0.658272i | ||||
\(784\) | 1.56726e8 | + | 2.86155e9i | 0.0116154 | + | 0.212078i | ||||
\(785\) | − | 5.23012e9i | − | 0.385894i | ||||||
\(786\) | 1.22119e9 | + | 5.67013e8i | 0.0897027 | + | 0.0416499i | ||||
\(787\) | 2.27878e10i | 1.66644i | 0.552939 | + | 0.833222i | \(0.313506\pi\) | ||||
−0.552939 | + | 0.833222i | \(0.686494\pi\) | |||||||
\(788\) | 3.54104e9 | + | 3.35240e9i | 0.257804 | + | 0.244070i | ||||
\(789\) | −1.32923e10 | − | 1.48612e10i | −0.963453 | − | 1.07717i | ||||
\(790\) | 1.11915e10 | − | 4.81604e9i | 0.807592 | − | 0.347532i | ||||
\(791\) | −5.41116e9 | −0.388752 | ||||||||
\(792\) | −5.59518e9 | − | 2.79309e9i | −0.400199 | − | 0.199778i | ||||
\(793\) | −3.99974e9 | −0.284823 | ||||||||
\(794\) | −1.39884e10 | + | 6.01964e9i | −0.991734 | + | 0.426775i | ||||
\(795\) | 2.23800e9 | + | 2.50216e9i | 0.157970 | + | 0.176616i | ||||
\(796\) | 9.38039e9 | + | 8.88069e9i | 0.659212 | + | 0.624095i | ||||
\(797\) | 1.22577e10i | 0.857638i | 0.903391 | + | 0.428819i | \(0.141070\pi\) | ||||
−0.903391 | + | 0.428819i | \(0.858930\pi\) | |||||||
\(798\) | −1.14661e10 | − | 5.32382e9i | −0.798738 | − | 0.370863i | ||||
\(799\) | 1.06295e10i | 0.737221i | ||||||||
\(800\) | −2.95296e9 | − | 5.94383e9i | −0.203912 | − | 0.410442i | ||||
\(801\) | −8.44291e9 | − | 9.43946e8i | −0.580468 | − | 0.0648983i | ||||
\(802\) | −3.90477e9 | − | 9.07387e9i | −0.267292 | − | 0.621130i | ||||
\(803\) | 5.11938e8 | 0.0348910 | ||||||||
\(804\) | −1.37491e8 | + | 4.85478e9i | −0.00932989 | + | 0.329437i | ||||
\(805\) | 1.48768e10 | 1.00513 | ||||||||
\(806\) | −5.14492e9 | − | 1.19557e10i | −0.346103 | − | 0.804271i | ||||
\(807\) | −1.04696e10 | + | 9.36434e9i | −0.701253 | + | 0.627220i | ||||
\(808\) | −1.52481e10 | − | 5.59473e9i | −1.01689 | − | 0.373112i | ||||
\(809\) | 3.89938e9i | 0.258926i | 0.991584 | + | 0.129463i | \(0.0413253\pi\) | ||||
−0.991584 | + | 0.129463i | \(0.958675\pi\) | |||||||
\(810\) | −2.03343e9 | − | 1.09448e10i | −0.134441 | − | 0.723617i | ||||
\(811\) | − | 9.83894e9i | − | 0.647702i | −0.946108 | − | 0.323851i | \(-0.895022\pi\) | ||
0.946108 | − | 0.323851i | \(-0.104978\pi\) | |||||||
\(812\) | −9.33013e9 | + | 9.85512e9i | −0.611563 | + | 0.645975i | ||||
\(813\) | 5.87748e9 | − | 5.25698e9i | 0.383596 | − | 0.343099i | ||||
\(814\) | −8.88721e8 | + | 3.82445e8i | −0.0577537 | + | 0.0248533i | ||||
\(815\) | −8.31618e9 | −0.538111 | ||||||||
\(816\) | 1.02054e10 | + | 1.02249e10i | 0.657527 | + | 0.658786i | ||||
\(817\) | 1.69310e9 | 0.108619 | ||||||||
\(818\) | 1.68265e10 | − | 7.24097e9i | 1.07487 | − | 0.462551i | ||||
\(819\) | −2.76468e10 | − | 3.09101e9i | −1.75854 | − | 0.196610i | ||||
\(820\) | −1.42253e10 | + | 1.50258e10i | −0.900977 | + | 0.951673i | ||||
\(821\) | 1.76060e10i | 1.11035i | 0.831733 | + | 0.555176i | \(0.187349\pi\) | ||||
−0.831733 | + | 0.555176i | \(0.812651\pi\) | |||||||
\(822\) | −5.67359e9 | + | 1.22194e10i | −0.356293 | + | 0.767358i | ||||
\(823\) | − | 1.59689e10i | − | 0.998564i | −0.866439 | − | 0.499282i | \(-0.833597\pi\) | ||
0.866439 | − | 0.499282i | \(-0.166403\pi\) | |||||||
\(824\) | −1.57456e10 | − | 5.77728e9i | −0.980424 | − | 0.359731i | ||||
\(825\) | −2.20416e9 | − | 2.46432e9i | −0.136664 | − | 0.152795i | ||||
\(826\) | 3.38780e9 | + | 7.87253e9i | 0.209164 | + | 0.486054i | ||||
\(827\) | 1.38691e10 | 0.852666 | 0.426333 | − | 0.904566i | \(-0.359805\pi\) | ||||
0.426333 | + | 0.904566i | \(0.359805\pi\) | |||||||
\(828\) | 1.30735e10 | + | 1.54769e10i | 0.800358 | + | 0.947495i | ||||
\(829\) | −3.03083e10 | −1.84766 | −0.923828 | − | 0.382808i | \(-0.874957\pi\) | ||||
−0.923828 | + | 0.382808i | \(0.874957\pi\) | |||||||
\(830\) | −9.29354e9 | − | 2.15962e10i | −0.564167 | − | 1.31101i | ||||
\(831\) | −1.31023e10 | − | 1.46488e10i | −0.792034 | − | 0.885521i | ||||
\(832\) | 2.03615e10 | + | 1.72663e10i | 1.22568 | + | 1.03937i | ||||
\(833\) | − | 3.29798e9i | − | 0.197692i | ||||||
\(834\) | 8.87756e9 | − | 1.91199e10i | 0.529922 | − | 1.14131i | ||||
\(835\) | − | 1.09182e10i | − | 0.649008i | ||||||
\(836\) | 4.38869e9 | + | 4.15490e9i | 0.259784 | + | 0.245945i | ||||
\(837\) | −5.35830e9 | − | 7.53125e9i | −0.315855 | − | 0.443944i | ||||
\(838\) | 1.90341e10 | − | 8.19096e9i | 1.11732 | − | 0.480818i | ||||
\(839\) | 1.76156e10 | 1.02975 | 0.514873 | − | 0.857266i | \(-0.327839\pi\) | ||||
0.514873 | + | 0.857266i | \(0.327839\pi\) | |||||||
\(840\) | 1.29381e10 | − | 5.13864e9i | 0.753171 | − | 0.299137i | ||||
\(841\) | 5.99141e9 | 0.347331 | ||||||||
\(842\) | 1.35072e10 | − | 5.81257e9i | 0.779781 | − | 0.335564i | ||||
\(843\) | 1.77754e10 | − | 1.58988e10i | 1.02193 | − | 0.914044i | ||||
\(844\) | −1.87985e10 | − | 1.77971e10i | −1.07628 | − | 1.01895i | ||||
\(845\) | 2.04287e10i | 1.16478i | ||||||||
\(846\) | 4.05608e9 | + | 1.33465e10i | 0.230309 | + | 0.757828i | ||||
\(847\) | 1.55764e10i | 0.880794i | ||||||||
\(848\) | −5.70852e9 | + | 3.12653e8i | −0.321468 | + | 0.0176067i | ||||
\(849\) | −5.39019e8 | + | 4.82113e8i | −0.0302292 | + | 0.0270378i | ||||
\(850\) | 3.01908e9 | + | 7.01570e9i | 0.168620 | + | 0.391837i | ||||
\(851\) | 3.13443e9 | 0.174343 | ||||||||
\(852\) | 1.58567e9 | + | 4.49072e7i | 0.0878362 | + | 0.00248758i | ||||
\(853\) | −7.77452e9 | −0.428896 | −0.214448 | − | 0.976735i | \(-0.568795\pi\) | ||||
−0.214448 | + | 0.976735i | \(0.568795\pi\) | |||||||
\(854\) | −1.40405e9 | − | 3.26273e9i | −0.0771403 | − | 0.179258i | ||||
\(855\) | −1.19534e9 | + | 1.06914e10i | −0.0654049 | + | 0.584999i | ||||
\(856\) | 1.09082e8 | − | 2.97295e8i | 0.00594421 | − | 0.0162005i | ||||
\(857\) | 3.40944e9i | 0.185033i | 0.995711 | + | 0.0925166i | \(0.0294911\pi\) | ||||
−0.995711 | + | 0.0925166i | \(0.970509\pi\) | |||||||
\(858\) | 1.20623e10 | + | 5.60066e9i | 0.651966 | + | 0.302715i | ||||
\(859\) | 1.01843e9i | 0.0548221i | 0.999624 | + | 0.0274111i | \(0.00872631\pi\) | ||||
−0.999624 | + | 0.0274111i | \(0.991274\pi\) | |||||||
\(860\) | −1.28181e9 | + | 1.35394e9i | −0.0687195 | + | 0.0725863i | ||||
\(861\) | 2.44796e10 | + | 2.73691e10i | 1.30706 | + | 1.46133i | ||||
\(862\) | 2.34142e10 | − | 1.00759e10i | 1.24510 | − | 0.535805i | ||||
\(863\) | −2.23663e10 | −1.18456 | −0.592278 | − | 0.805734i | \(-0.701771\pi\) | ||||
−0.592278 | + | 0.805734i | \(0.701771\pi\) | |||||||
\(864\) | 1.67157e10 | + | 8.94426e9i | 0.881712 | + | 0.471788i | ||||
\(865\) | 1.60609e9 | 0.0843749 | ||||||||
\(866\) | −3.52085e9 | + | 1.51513e9i | −0.184219 | + | 0.0792752i | ||||
\(867\) | 1.70992e9 | + | 1.91174e9i | 0.0891062 | + | 0.0996237i | ||||
\(868\) | 7.94663e9 | − | 8.39377e9i | 0.412443 | − | 0.435650i | ||||
\(869\) | 1.03364e10i | 0.534316i | ||||||||
\(870\) | 1.04749e10 | + | 4.86360e9i | 0.539302 | + | 0.250404i | ||||
\(871\) | − | 1.03285e10i | − | 0.529631i | ||||||
\(872\) | 4.89204e9 | − | 1.33329e10i | 0.249852 | − | 0.680954i | ||||
\(873\) | −1.76005e9 | + | 1.57424e10i | −0.0895314 | + | 0.800793i | ||||
\(874\) | −7.73923e9 | − | 1.79844e10i | −0.392110 | − | 0.911181i | ||||
\(875\) | 2.34194e10 | 1.18181 | ||||||||
\(876\) | −1.55136e9 | − | 4.39356e7i | −0.0779737 | − | 0.00220827i | ||||
\(877\) | −7.42860e9 | −0.371885 | −0.185942 | − | 0.982561i | \(-0.559534\pi\) | ||||
−0.185942 | + | 0.982561i | \(0.559534\pi\) | |||||||
\(878\) | 7.71874e9 | + | 1.79367e10i | 0.384872 | + | 0.894361i | ||||
\(879\) | −2.76480e10 | + | 2.47291e10i | −1.37310 | + | 1.22814i | ||||
\(880\) | −6.64520e9 | + | 3.63954e8i | −0.328714 | + | 0.0180035i | ||||
\(881\) | − | 2.83256e10i | − | 1.39561i | −0.716288 | − | 0.697804i | \(-0.754160\pi\) | ||
0.716288 | − | 0.697804i | \(-0.245840\pi\) | |||||||
\(882\) | −1.25847e9 | − | 4.14098e9i | −0.0617594 | − | 0.203218i | ||||
\(883\) | − | 2.16342e10i | − | 1.05750i | −0.848779 | − | 0.528748i | \(-0.822662\pi\) | ||
0.848779 | − | 0.528748i | \(-0.177338\pi\) | |||||||
\(884\) | −2.23101e10 | − | 2.11216e10i | −1.08622 | − | 1.02836i | ||||
\(885\) | 5.43623e9 | − | 4.86232e9i | 0.263631 | − | 0.235799i | ||||
\(886\) | −1.80391e10 | + | 7.76280e9i | −0.871359 | + | 0.374973i | ||||
\(887\) | 2.48940e9 | 0.119774 | 0.0598869 | − | 0.998205i | \(-0.480926\pi\) | ||||
0.0598869 | + | 0.998205i | \(0.480926\pi\) | |||||||
\(888\) | 2.72597e9 | − | 1.08267e9i | 0.130640 | − | 0.0518863i | ||||
\(889\) | −1.65371e10 | −0.789410 | ||||||||
\(890\) | −8.30473e9 | + | 3.57379e9i | −0.394876 | + | 0.169927i | ||||
\(891\) | 9.21096e9 | + | 2.08571e9i | 0.436248 | + | 0.0987827i | ||||
\(892\) | −4.30683e9 | − | 4.07740e9i | −0.203180 | − | 0.192356i | ||||
\(893\) | − | 1.34806e10i | − | 0.633472i | ||||||
\(894\) | −5.51839e8 | + | 1.18851e9i | −0.0258304 | + | 0.0556316i | ||||
\(895\) | 1.54744e10i | 0.721496i | ||||||||
\(896\) | −6.93712e9 | + | 2.26707e10i | −0.322182 | + | 1.05290i | ||||
\(897\) | −2.87232e10 | − | 3.21135e10i | −1.32880 | − | 1.48564i | ||||
\(898\) | −4.28124e9 | − | 9.94871e9i | −0.197289 | − | 0.458458i | ||||
\(899\) | 9.58902e9 | 0.440165 | ||||||||
\(900\) | 6.46790e9 | + | 7.65695e9i | 0.295743 | + | 0.350112i | ||||
\(901\) | 6.57915e9 | 0.299663 | ||||||||
\(902\) | −6.93884e9 | − | 1.61244e10i | −0.314821 | − | 0.731579i | ||||
\(903\) | 2.20581e9 | + | 2.46617e9i | 0.0996921 | + | 0.111459i | ||||
\(904\) | −7.36230e9 | − | 2.70133e9i | −0.331454 | − | 0.121615i | ||||
\(905\) | 7.46936e9i | 0.334976i | ||||||||
\(906\) | −1.26375e10 | + | 2.72179e10i | −0.564565 | + | 1.21592i | ||||
\(907\) | − | 6.03196e8i | − | 0.0268431i | −0.999910 | − | 0.0134216i | \(-0.995728\pi\) | ||
0.999910 | − | 0.0134216i | \(-0.00427234\pi\) | |||||||
\(908\) | 1.34235e10 | − | 1.41789e10i | 0.595068 | − | 0.628552i | ||||
\(909\) | 2.43768e10 | + | 2.72541e9i | 1.07647 | + | 0.120354i | ||||
\(910\) | −2.71943e10 | + | 1.17026e10i | −1.19628 | + | 0.514798i | ||||
\(911\) | −2.68931e10 | −1.17849 | −0.589246 | − | 0.807954i | \(-0.700575\pi\) | ||||
−0.589246 | + | 0.807954i | \(0.700575\pi\) | |||||||
\(912\) | −1.29427e10 | − | 1.29675e10i | −0.564994 | − | 0.566075i | ||||
\(913\) | 1.99461e10 | 0.867383 | ||||||||
\(914\) | −2.31490e10 | + | 9.96172e9i | −1.00281 | + | 0.431542i | ||||
\(915\) | −2.25302e9 | + | 2.01516e9i | −0.0972278 | + | 0.0869632i | ||||
\(916\) | −3.86433e9 | + | 4.08176e9i | −0.166127 | + | 0.175474i | ||||
\(917\) | − | 2.54280e9i | − | 0.108898i | ||||||
\(918\) | −1.86446e10 | − | 1.13295e10i | −0.795432 | − | 0.483351i | ||||
\(919\) | − | 1.44011e10i | − | 0.612056i | −0.952022 | − | 0.306028i | \(-0.901000\pi\) | ||
0.952022 | − | 0.306028i | \(-0.0990002\pi\) | |||||||
\(920\) | 2.02410e10 | + | 7.42671e9i | 0.856988 | + | 0.314441i | ||||
\(921\) | 1.76957e10 | − | 1.58276e10i | 0.746380 | − | 0.667583i | ||||
\(922\) | 1.10693e10 | + | 2.57227e10i | 0.465117 | + | 1.08083i | ||||
\(923\) | −3.37350e9 | −0.141213 | ||||||||
\(924\) | −3.34345e8 | + | 1.18057e10i | −0.0139426 | + | 0.492311i | ||||
\(925\) | 1.55071e9 | 0.0644222 | ||||||||
\(926\) | 1.10926e10 | + | 2.57770e10i | 0.459088 | + | 1.06682i | ||||
\(927\) | 2.51722e10 | + | 2.81434e9i | 1.03787 | + | 0.116037i | ||||
\(928\) | −1.76142e10 | + | 8.75091e9i | −0.723510 | + | 0.359447i | ||||
\(929\) | − | 8.33324e9i | − | 0.341003i | −0.985357 | − | 0.170502i | \(-0.945461\pi\) | ||
0.985357 | − | 0.170502i | \(-0.0545388\pi\) | |||||||
\(930\) | −8.92163e9 | − | 4.14241e9i | −0.363709 | − | 0.168874i | ||||
\(931\) | 4.18258e9i | 0.169871i | ||||||||
\(932\) | 2.25480e10 | + | 2.13469e10i | 0.912332 | + | 0.863732i | ||||
\(933\) | −8.70411e9 | − | 9.73149e9i | −0.350864 | − | 0.392278i | ||||
\(934\) | 1.11775e10 | − | 4.81001e9i | 0.448879 | − | 0.193167i | ||||
\(935\) | 7.65868e9 | 0.306417 | ||||||||
\(936\) | −3.60725e10 | − | 1.80073e10i | −1.43784 | − | 0.717765i | ||||
\(937\) | 2.24458e10 | 0.891346 | 0.445673 | − | 0.895196i | \(-0.352964\pi\) | ||||
0.445673 | + | 0.895196i | \(0.352964\pi\) | |||||||
\(938\) | 8.42531e9 | − | 3.62568e9i | 0.333331 | − | 0.143443i | ||||
\(939\) | −2.16006e9 | − | 2.41502e9i | −0.0851405 | − | 0.0951900i | ||||
\(940\) | 1.07802e10 | + | 1.02059e10i | 0.423329 | + | 0.400778i | ||||
\(941\) | − | 2.64833e10i | − | 1.03612i | −0.855345 | − | 0.518059i | \(-0.826655\pi\) | ||
0.855345 | − | 0.518059i | \(-0.173345\pi\) | |||||||
\(942\) | −1.22004e10 | − | 5.66480e9i | −0.475551 | − | 0.220804i | ||||
\(943\) | 5.68692e10i | 2.20844i | ||||||||
\(944\) | 6.79274e8 | + | 1.24024e10i | 0.0262811 | + | 0.479849i | ||||
\(945\) | −1.71305e10 | + | 1.21879e10i | −0.660327 | + | 0.469807i | ||||
\(946\) | −6.25244e8 | − | 1.45294e9i | −0.0240121 | − | 0.0557992i | ||||
\(947\) | −2.26400e10 | −0.866266 | −0.433133 | − | 0.901330i | \(-0.642592\pi\) | ||||
−0.433133 | + | 0.901330i | \(0.642592\pi\) | |||||||
\(948\) | 8.87087e8 | − | 3.13229e10i | 0.0338171 | − | 1.19408i | ||||
\(949\) | 3.30051e9 | 0.125357 | ||||||||
\(950\) | −3.82887e9 | − | 8.89750e9i | −0.144890 | − | 0.336694i | ||||
\(951\) | 3.12828e10 | − | 2.79802e10i | 1.17943 | − | 1.05492i | ||||
\(952\) | 9.39797e9 | − | 2.56135e10i | 0.353024 | − | 0.962144i | ||||
\(953\) | 4.67746e10i | 1.75059i | 0.483586 | + | 0.875297i | \(0.339334\pi\) | ||||
−0.483586 | + | 0.875297i | \(0.660666\pi\) | |||||||
\(954\) | 8.26086e9 | − | 2.51053e9i | 0.308039 | − | 0.0936151i | ||||
\(955\) | − | 2.66483e10i | − | 0.990052i | ||||||
\(956\) | 1.18106e10 | − | 1.24751e10i | 0.437187 | − | 0.461787i | ||||
\(957\) | −7.30286e9 | + | 6.53188e9i | −0.269340 | + | 0.240905i | ||||
\(958\) | −3.21231e9 | + | 1.38236e9i | −0.118042 | + | 0.0507974i | ||||
\(959\) | 2.54436e10 | 0.931564 | ||||||||
\(960\) | 2.01686e10 | − | 5.32609e8i | 0.735744 | − | 0.0194294i | ||||
\(961\) | 1.93455e10 | 0.703149 | ||||||||
\(962\) | −5.72965e9 | + | 2.46565e9i | −0.207499 | + | 0.0892933i | ||||
\(963\) | −5.31380e7 | + | 4.75281e8i | −0.00191740 | + | 0.0171498i | ||||
\(964\) | 3.68914e10 | − | 3.89672e10i | 1.32634 | − | 1.40097i | ||||
\(965\) | − | 2.46839e10i | − | 0.884235i | ||||||
\(966\) | 1.61132e10 | − | 3.47035e10i | 0.575124 | − | 1.23866i | ||||
\(967\) | 1.66727e10i | 0.592942i | 0.955042 | + | 0.296471i | \(0.0958098\pi\) | ||||
−0.955042 | + | 0.296471i | \(0.904190\pi\) | |||||||
\(968\) | −7.77596e9 | + | 2.11928e10i | −0.275543 | + | 0.750975i | ||||
\(969\) | 1.40560e10 | + | 1.57151e10i | 0.496281 | + | 0.554859i | ||||
\(970\) | 6.66357e9 | + | 1.54847e10i | 0.234426 | + | 0.544757i | ||||
\(971\) | −1.55445e9 | −0.0544889 | −0.0272445 | − | 0.999629i | \(-0.508673\pi\) | ||||
−0.0272445 | + | 0.999629i | \(0.508673\pi\) | |||||||
\(972\) | −2.77336e10 | − | 7.11095e9i | −0.968666 | − | 0.248368i | ||||
\(973\) | −3.98119e10 | −1.38554 | ||||||||
\(974\) | 9.41688e9 | + | 2.18829e10i | 0.326551 | + | 0.758836i | ||||
\(975\) | −1.42104e10 | − | 1.58877e10i | −0.491009 | − | 0.548964i | ||||
\(976\) | −2.81521e8 | − | 5.14012e9i | −0.00969253 | − | 0.176970i | ||||
\(977\) | 7.71063e9i | 0.264520i | 0.991215 | + | 0.132260i | \(0.0422234\pi\) | ||||
−0.991215 | + | 0.132260i | \(0.957777\pi\) | |||||||
\(978\) | −9.00734e9 | + | 1.93994e10i | −0.307901 | + | 0.663135i | ||||
\(979\) | − | 7.67019e9i | − | 0.261256i | ||||||
\(980\) | −3.34474e9 | − | 3.16656e9i | −0.113519 | − | 0.107472i | ||||
\(981\) | −2.38310e9 | + | 2.13151e10i | −0.0805938 | + | 0.720853i | ||||
\(982\) | −6.17732e9 | + | 2.65829e9i | −0.208166 | + | 0.0895804i | ||||
\(983\) | −5.24036e10 | −1.75964 | −0.879820 | − | 0.475307i | \(-0.842337\pi\) | ||||
−0.879820 | + | 0.475307i | \(0.842337\pi\) | |||||||
\(984\) | 1.96434e10 | + | 4.94583e10i | 0.657254 | + | 1.65484i | ||||
\(985\) | −7.83694e9 | −0.261288 | ||||||||
\(986\) | 2.07906e10 | − | 8.94685e9i | 0.690713 | − | 0.297236i | ||||
\(987\) | 1.96358e10 | − | 1.75628e10i | 0.650038 | − | 0.581412i | ||||
\(988\) | 2.82942e10 | + | 2.67870e10i | 0.933358 | + | 0.883637i | ||||
\(989\) | 5.12436e9i | 0.168443i | ||||||||
\(990\) | 9.61633e9 | − | 2.92246e9i | 0.314982 | − | 0.0957251i | ||||
\(991\) | − | 6.02219e9i | − | 0.196561i | −0.995159 | − | 0.0982803i | \(-0.968666\pi\) | ||
0.995159 | − | 0.0982803i | \(-0.0313342\pi\) | |||||||
\(992\) | 1.50023e10 | − | 7.45330e9i | 0.487941 | − | 0.242414i | ||||
\(993\) | −4.15271e10 | + | 3.71430e10i | −1.34589 | + | 1.20380i | ||||
\(994\) | −1.18422e9 | − | 2.75188e9i | −0.0382455 | − | 0.0888744i | ||||
\(995\) | −2.07605e10 | −0.668122 | ||||||||
\(996\) | −6.04441e10 | − | 1.71182e9i | −1.93841 | − | 0.0548971i | ||||
\(997\) | 9.88566e9 | 0.315917 | 0.157958 | − | 0.987446i | \(-0.449509\pi\) | ||||
0.157958 | + | 0.987446i | \(0.449509\pi\) | |||||||
\(998\) | −1.52018e10 | − | 3.53257e10i | −0.484102 | − | 1.12495i | ||||
\(999\) | −3.60928e9 | + | 2.56791e9i | −0.114536 | + | 0.0814895i |
(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 | 12.8.b.a.11.3 | yes | 4 | |
3.2 | odd | 2 | inner | 12.8.b.a.11.2 | yes | 4 | |
4.3 | odd | 2 | inner | 12.8.b.a.11.1 | ✓ | 4 | |
8.3 | odd | 2 | 192.8.c.b.191.4 | 4 | |||
8.5 | even | 2 | 192.8.c.b.191.1 | 4 | |||
12.11 | even | 2 | inner | 12.8.b.a.11.4 | yes | 4 | |
24.5 | odd | 2 | 192.8.c.b.191.3 | 4 | |||
24.11 | even | 2 | 192.8.c.b.191.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.8.b.a.11.1 | ✓ | 4 | 4.3 | odd | 2 | inner | |
12.8.b.a.11.2 | yes | 4 | 3.2 | odd | 2 | inner | |
12.8.b.a.11.3 | yes | 4 | 1.1 | even | 1 | trivial | |
12.8.b.a.11.4 | yes | 4 | 12.11 | even | 2 | inner | |
192.8.c.b.191.1 | 4 | 8.5 | even | 2 | |||
192.8.c.b.191.2 | 4 | 24.11 | even | 2 | |||
192.8.c.b.191.3 | 4 | 24.5 | odd | 2 | |||
192.8.c.b.191.4 | 4 | 8.3 | odd | 2 |