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 | 11.1 | ||
Root | \(-0.866025 - 1.11803i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.8.b.a.11.2 |
$q$-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 | \(0.880043\pi\) | |||||||
\(6\) | 168.115 | + | 501.670i | 0.317745 | + | 0.948176i | ||||
\(7\) | 999.230i | 1.10109i | 0.834806 | + | 0.550544i | \(0.185580\pi\) | ||||
−0.834806 | + | 0.550544i | \(0.814420\pi\) | |||||||
\(8\) | −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 | \(-0.428204\pi\) | ||||
0.223646 | + | 0.974670i | \(0.428204\pi\) | |||||||
\(12\) | 496.432 | − | 5965.35i | 0.0829325 | − | 0.996555i | ||||
\(13\) | −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 | \(0.845915\pi\) | |||||||
\(18\) | 12245.3 | − | 21500.5i | 0.494899 | − | 0.868950i | ||||
\(19\) | 23911.8i | 0.799788i | 0.916561 | + | 0.399894i | \(0.130953\pi\) | ||||
−0.916561 | + | 0.399894i | \(0.869047\pi\) | |||||||
\(20\) | −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 | \(-0.712926\pi\) | ||||
−0.620145 | + | 0.784487i | \(0.712926\pi\) | |||||||
\(24\) | −31836.9 | + | 59773.6i | −0.470101 | + | 0.882612i | ||||
\(25\) | 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 | \(-0.132359\pi\) | |||||||
\(30\) | −103203. | + | 34584.4i | −0.697858 | + | 0.233860i | ||||
\(31\) | − | 90372.2i | − | 0.544840i | −0.962178 | − | 0.272420i | \(-0.912176\pi\) | ||
0.962178 | − | 0.272420i | \(-0.0878240\pi\) | |||||||
\(32\) | 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 | ||||||||
\(36\) | −223410. | + | 168677.i | −0.798077 | + | 0.602556i | ||||
\(37\) | 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 | \(0.650499\pi\) | |||||||
\(42\) | −501284. | + | 167986.i | −1.04403 | + | 0.349865i | ||||
\(43\) | − | 70805.9i | − | 0.135809i | −0.997692 | − | 0.0679047i | \(-0.978369\pi\) | ||
0.997692 | − | 0.0679047i | \(-0.0216314\pi\) | |||||||
\(44\) | 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 | \(-0.629611\pi\) | ||||
−0.396025 | + | 0.918240i | \(0.629611\pi\) | |||||||
\(48\) | 598175. | − | 478806.i | 0.780699 | − | 0.624907i | ||||
\(49\) | −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 | \(-0.0514639\pi\) | |||||||
\(54\) | −1.13121e6 | + | 243486.i | −0.977610 | + | 0.210424i | ||||
\(55\) | 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 | \(-0.422759\pi\) | ||||
0.240284 | + | 0.970703i | \(0.422759\pi\) | |||||||
\(60\) | 1.22718e6 | + | 102125.i | 0.733465 | + | 0.0610384i | ||||
\(61\) | 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 | ||||||
\(66\) | 331950. | + | 990567.i | 0.142125 | + | 0.424112i | ||||
\(67\) | − | 811351.i | − | 0.329570i | −0.986330 | − | 0.164785i | \(-0.947307\pi\) | ||
0.986330 | − | 0.164785i | \(-0.0526930\pi\) | |||||||
\(68\) | −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 | \(-0.513990\pi\) | ||||
−0.0439357 | + | 0.999034i | \(0.513990\pi\) | |||||||
\(72\) | 3.07610e6 | − | 753822.i | 0.971261 | − | 0.238015i | ||||
\(73\) | −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 | ||||||||
\(78\) | −2.14011e6 | − | 6.38626e6i | −0.510628 | − | 1.52376i | ||||
\(79\) | 5.23482e6i | 1.19456i | 0.802033 | + | 0.597279i | \(0.203752\pi\) | ||||
−0.802033 | + | 0.597279i | \(0.796248\pi\) | |||||||
\(80\) | −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 | \(-0.0786955\pi\) | ||||
0.969594 | + | 0.244718i | \(0.0786955\pi\) | |||||||
\(84\) | 5.96075e6 | + | 496049.i | 1.09730 | + | 0.0913161i | ||||
\(85\) | −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 | \(0.905665\pi\) | |||||||
\(90\) | 4.42305e6 | + | 2.51909e6i | 0.639547 | + | 0.364246i | ||||
\(91\) | − | 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 | ||||||||
\(96\) | −8.35770e6 | + | 2.30078e6i | −0.964134 | + | 0.265416i | ||||
\(97\) | 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 | \(-0.182178\pi\) | |||||||
\(102\) | −9.45876e6 | + | 3.16974e6i | −0.882538 | + | 0.295749i | ||||
\(103\) | 1.15817e7i | 1.04434i | 0.852843 | + | 0.522168i | \(0.174877\pi\) | ||||
−0.852843 | + | 0.522168i | \(0.825123\pi\) | |||||||
\(104\) | 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 | \(-0.502747\pi\) | ||||
−0.00862831 | + | 0.999963i | \(0.502747\pi\) | |||||||
\(108\) | 1.28448e7 | + | 2.52855e6i | 0.981170 | + | 0.193147i | ||||
\(109\) | 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 | \(-0.0564875\pi\) | |||||||
\(114\) | −1.19958e7 | + | 4.01994e6i | −0.758340 | + | 0.254128i | ||||
\(115\) | − | 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 | ||||||||
\(120\) | −1.22965e7 | − | 6.54943e6i | −0.649603 | − | 0.345995i | ||||
\(121\) | −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 | ||||||||
\(126\) | 2.14839e7 | + | 1.22359e7i | 0.956791 | + | 0.544928i | ||||
\(127\) | 1.65498e7i | 0.716936i | 0.933542 | + | 0.358468i | \(0.116701\pi\) | ||||
−0.933542 | + | 0.358468i | \(0.883299\pi\) | |||||||
\(128\) | 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 | \(-0.515747\pi\) | ||||
−0.0494502 | + | 0.998777i | \(0.515747\pi\) | |||||||
\(132\) | 980223. | − | 1.17788e7i | 0.0370951 | − | 0.445751i | ||||
\(133\) | −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 | \(0.860970\pi\) | |||||||
\(138\) | −1.21669e7 | − | 3.63069e7i | −0.394095 | − | 1.17601i | ||||
\(139\) | 3.98426e7i | 1.25833i | 0.777270 | + | 0.629167i | \(0.216604\pi\) | ||||
−0.777270 | + | 0.629167i | \(0.783396\pi\) | |||||||
\(140\) | −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 | ||||||||
\(144\) | −3.53389e7 | − | 5.92277e6i | −0.986244 | − | 0.165294i | ||||
\(145\) | 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 | \(0.990237\pi\) | |||||||
\(150\) | 6.01937e6 | + | 1.79623e7i | 0.145624 | + | 0.434553i | ||||
\(151\) | − | 5.67175e7i | − | 1.34060i | −0.742092 | − | 0.670298i | \(-0.766166\pi\) | ||
0.742092 | − | 0.670298i | \(-0.233834\pi\) | |||||||
\(152\) | 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 | ||||||||
\(156\) | −6.31957e6 | + | 7.59389e7i | −0.133276 | + | 1.60150i | ||||
\(157\) | −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 | ||||||
\(162\) | 4.37548e7 | + | 3.18393e7i | 0.808581 | + | 0.588385i | ||||
\(163\) | − | 4.04251e7i | − | 0.731130i | −0.930786 | − | 0.365565i | \(-0.880876\pi\) | ||
0.930786 | − | 0.365565i | \(-0.119124\pi\) | |||||||
\(164\) | −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 | \(-0.354658\pi\) | ||||
0.440902 | + | 0.897555i | \(0.354658\pi\) | |||||||
\(168\) | −5.97276e7 | − | 3.18124e7i | −0.971834 | − | 0.517623i | ||||
\(169\) | 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 | \(-0.0182555\pi\) | |||||||
\(174\) | 5.32302e7 | − | 1.78380e7i | 0.766012 | − | 0.256699i | ||||
\(175\) | 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 | \(-0.663057\pi\) | ||||
−0.490147 | + | 0.871640i | \(0.663057\pi\) | |||||||
\(180\) | −3.47000e7 | − | 4.59596e7i | −0.443481 | − | 0.587384i | ||||
\(181\) | 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 | ||||||||
\(186\) | 4.53371e7 | − | 1.51930e7i | 0.516604 | − | 0.173120i | ||||
\(187\) | 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 | \(-0.265182\pi\) | ||||
0.672590 | + | 0.740015i | \(0.265182\pi\) | |||||||
\(192\) | 9.71452e7 | + | 1.34663e7i | 0.990528 | + | 0.137308i | ||||
\(193\) | −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 | \(0.943197\pi\) | |||||||
\(198\) | 2.41789e7 | − | 4.24536e7i | 0.221364 | − | 0.388675i | ||||
\(199\) | − | 1.00917e8i | − | 0.907775i | −0.891059 | − | 0.453888i | \(-0.850037\pi\) | ||
0.891059 | − | 0.453888i | \(-0.149963\pi\) | |||||||
\(200\) | −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 | ||||||||
\(204\) | 1.12474e8 | + | 9.35998e6i | 0.927568 | + | 0.0771915i | ||||
\(205\) | −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 | ||||||||
\(210\) | −3.45578e7 | − | 1.03123e8i | −0.257501 | − | 0.768403i | ||||
\(211\) | 2.02240e8i | 1.48210i | 0.671448 | + | 0.741052i | \(0.265673\pi\) | ||||
−0.671448 | + | 0.741052i | \(0.734327\pi\) | |||||||
\(212\) | 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 | ||||||||
\(216\) | −1.22179e8 | − | 8.37212e7i | −0.824914 | − | 0.565259i | ||||
\(217\) | 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 | ||||||
\(222\) | 7.28108e6 | + | 2.17273e7i | 0.0446643 | + | 0.133282i | ||||
\(223\) | 4.63341e7i | 0.279791i | 0.990166 | + | 0.139896i | \(0.0446767\pi\) | ||||
−0.990166 | + | 0.139896i | \(0.955323\pi\) | |||||||
\(224\) | 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 | \(-0.642466\pi\) | ||||
−0.432777 | + | 0.901501i | \(0.642466\pi\) | |||||||
\(228\) | 1.42642e8 | + | 1.18706e7i | 0.797032 | + | 0.0663284i | ||||
\(229\) | −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 | \(0.783805\pi\) | |||||||
\(234\) | −1.55883e8 | + | 2.73701e8i | −0.795323 | + | 1.39644i | ||||
\(235\) | − | 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 | \(-0.602996\pi\) | ||||
−0.317954 | + | 0.948106i | \(0.602996\pi\) | |||||||
\(240\) | 9.84992e7 | + | 1.23055e8i | 0.459932 | + | 0.574594i | ||||
\(241\) | 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 | ||||||
\(246\) | −3.94208e8 | + | 1.32103e8i | −1.68831 | + | 0.565772i | ||||
\(247\) | − | 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 | \(-0.847370\pi\) | ||||
−0.887225 | + | 0.461337i | \(0.847370\pi\) | |||||||
\(252\) | −1.68547e8 | − | 2.23238e8i | −0.663467 | − | 0.878753i | ||||
\(253\) | −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 | \(-0.0190181\pi\) | |||||||
\(258\) | 3.55212e7 | − | 1.19036e7i | 0.128771 | − | 0.0431527i | ||||
\(259\) | 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 | \(-0.242952\pi\) | ||||
0.722590 | + | 0.691277i | \(0.242952\pi\) | |||||||
\(264\) | −6.28632e7 | + | 1.18025e8i | −0.210273 | + | 0.394785i | ||||
\(265\) | 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 | \(0.844104\pi\) | |||||||
\(270\) | −5.00895e7 | − | 2.32711e8i | −0.154872 | − | 0.719521i | ||||
\(271\) | 1.68618e8i | 0.514648i | 0.966325 | + | 0.257324i | \(0.0828408\pi\) | ||||
−0.966325 | + | 0.257324i | \(0.917159\pi\) | |||||||
\(272\) | −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 | ||||||||
\(276\) | −3.59277e7 | + | 4.31724e8i | −0.102860 | + | 1.23602i | ||||
\(277\) | −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 | \(-0.240431\pi\) | |||||||
\(282\) | −9.47770e7 | − | 2.82823e8i | −0.251670 | − | 0.751004i | ||||
\(283\) | − | 1.54638e7i | − | 0.0405567i | −0.999794 | − | 0.0202784i | \(-0.993545\pi\) | ||
0.999794 | − | 0.0202784i | \(-0.00645525\pi\) | |||||||
\(284\) | −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 | ||||||||
\(288\) | 3.40765e8 | + | 2.19592e8i | 0.840585 | + | 0.541679i | ||||
\(289\) | 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 | \(0.627289\pi\) | |||||||
\(294\) | −2.94062e7 | − | 8.77507e7i | −0.0674876 | − | 0.201389i | ||||
\(295\) | 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 | ||||||||
\(300\) | 1.77747e7 | − | 2.13589e8i | 0.0380083 | − | 0.456725i | ||||
\(301\) | 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 | ||||||||
\(306\) | 4.05382e8 | + | 2.30880e8i | 0.808797 | + | 0.460639i | ||||
\(307\) | 5.07669e8i | 1.00137i | 0.865628 | + | 0.500687i | \(0.166919\pi\) | ||||
−0.865628 | + | 0.500687i | \(0.833081\pi\) | |||||||
\(308\) | −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 | \(-0.415239\pi\) | ||||
0.263148 | + | 0.964756i | \(0.415239\pi\) | |||||||
\(312\) | 4.05284e8 | − | 7.60918e8i | 0.755472 | − | 1.41839i | ||||
\(313\) | −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 | \(-0.290537\pi\) | |||||||
\(318\) | 1.75054e8 | − | 5.86627e7i | 0.305266 | − | 0.102298i | ||||
\(319\) | − | 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 | ||||||||
\(324\) | −3.12324e8 | − | 5.26562e8i | −0.510150 | − | 0.860086i | ||||
\(325\) | −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 | ||||||
\(330\) | −2.03778e8 | + | 6.82882e7i | −0.312146 | + | 0.104604i | ||||
\(331\) | − | 1.19136e9i | − | 1.80570i | −0.429957 | − | 0.902849i | \(-0.641471\pi\) | ||
0.429957 | − | 0.902849i | \(-0.358529\pi\) | |||||||
\(332\) | 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 | ||||||||
\(336\) | 4.78438e8 | + | 5.97714e8i | 0.688078 | + | 0.859619i | ||||
\(337\) | 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 | ||||||
\(342\) | 5.14116e8 | + | 2.92808e8i | 0.694976 | + | 0.395814i | ||||
\(343\) | 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 | \(-0.179069\pi\) | ||||
0.845892 | + | 0.533355i | \(0.179069\pi\) | |||||||
\(348\) | −6.32958e8 | − | 5.26743e7i | −0.805096 | − | 0.0669995i | ||||
\(349\) | −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 | \(0.873522\pi\) | |||||||
\(354\) | 1.27451e8 | + | 3.80326e8i | 0.152698 | + | 0.455664i | ||||
\(355\) | − | 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 | \(-0.631962\pi\) | ||||
−0.402798 | + | 0.915289i | \(0.631962\pi\) | |||||||
\(360\) | 1.55075e8 | + | 6.32809e8i | 0.175179 | + | 0.714848i | ||||
\(361\) | 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 | ||||||
\(366\) | 5.28215e7 | + | 1.57624e8i | 0.0563154 | + | 0.168050i | ||||
\(367\) | 1.52201e9i | 1.60726i | 0.595126 | + | 0.803632i | \(0.297102\pi\) | ||||
−0.595126 | + | 0.803632i | \(0.702898\pi\) | |||||||
\(368\) | 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 | ||||||||
\(372\) | −5.39101e8 | − | 4.48636e7i | −0.542963 | − | 0.0451850i | ||||
\(373\) | −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 | ||||||||
\(378\) | −2.43298e8 | − | 1.13034e9i | −0.231696 | − | 1.07644i | ||||
\(379\) | − | 1.84045e9i | − | 1.73655i | −0.496082 | − | 0.868275i | \(-0.665229\pi\) | ||
0.496082 | − | 0.868275i | \(-0.334771\pi\) | |||||||
\(380\) | −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 | \(-0.527224\pi\) | ||||
−0.0854216 | + | 0.996345i | \(0.527224\pi\) | |||||||
\(384\) | −9.49339e8 | − | 5.74392e8i | −0.855583 | − | 0.517666i | ||||
\(385\) | −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 | \(-0.0443403\pi\) | |||||||
\(390\) | 1.31377e9 | − | 4.40260e8i | 1.12149 | − | 0.375822i | ||||
\(391\) | − | 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 | ||||||||
\(396\) | −4.41132e8 | + | 3.33059e8i | −0.356973 | + | 0.269518i | ||||
\(397\) | −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 | \(-0.109784\pi\) | |||||||
\(402\) | 4.07031e8 | − | 1.36401e8i | 0.312490 | − | 0.104719i | ||||
\(403\) | 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 | ||||||||
\(408\) | −1.12700e9 | − | 6.00270e8i | −0.821513 | − | 0.437558i | ||||
\(409\) | 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 | ||||||||
\(414\) | −8.86219e8 | + | 1.55604e9i | −0.613818 | + | 1.07775i | ||||
\(415\) | 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 | \(-0.708105\pi\) | ||||
−0.608192 | + | 0.793790i | \(0.708105\pi\) | |||||||
\(420\) | −1.02046e8 | + | 1.22624e9i | −0.0672086 | + | 0.807609i | ||||
\(421\) | 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 | ||||||||
\(426\) | −4.45512e7 | − | 1.32945e8i | −0.0279207 | − | 0.0833176i | ||||
\(427\) | 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 | \(-0.737043\pi\) | ||||
−0.677746 | + | 0.735296i | \(0.737043\pi\) | |||||||
\(432\) | 8.95309e8 | + | 1.41646e9i | 0.534294 | + | 0.845299i | ||||
\(433\) | −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 | ||||||
\(438\) | −4.35873e7 | − | 1.30068e8i | −0.0247857 | − | 0.0739625i | ||||
\(439\) | − | 1.72596e9i | − | 0.973657i | −0.873498 | − | 0.486828i | \(-0.838154\pi\) | ||
0.873498 | − | 0.486828i | \(-0.161846\pi\) | |||||||
\(440\) | 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 | \(-0.342698\pi\) | ||||
0.474308 | + | 0.880359i | \(0.342698\pi\) | |||||||
\(444\) | 2.15004e7 | − | 2.58359e8i | 0.0116575 | − | 0.140082i | ||||
\(445\) | −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 | \(-0.0802836\pi\) | |||||||
\(450\) | 4.38444e8 | − | 7.69826e8i | 0.226814 | − | 0.398243i | ||||
\(451\) | 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 | ||||||||
\(456\) | −1.42929e9 | − | 7.61278e8i | −0.705902 | − | 0.375981i | ||||
\(457\) | −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 | \(0.799785\pi\) | |||||||
\(462\) | −9.89804e8 | + | 3.31695e8i | −0.466984 | + | 0.156492i | ||||
\(463\) | − | 2.48039e9i | − | 1.16141i | −0.814113 | − | 0.580706i | \(-0.802777\pi\) | ||
0.814113 | − | 0.580706i | \(-0.197223\pi\) | |||||||
\(464\) | 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 | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(468\) | 2.84401e9 | − | 2.14726e9i | 1.28254 | − | 0.968331i | ||||
\(469\) | 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 | ||||||
\(474\) | −2.62616e9 | + | 8.80055e8i | −1.13265 | + | 0.379564i | ||||
\(475\) | 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 | \(-0.479533\pi\) | ||||
0.0642541 | + | 0.997934i | \(0.479533\pi\) | |||||||
\(480\) | −4.73313e8 | − | 1.71933e9i | −0.195346 | − | 0.709603i | ||||
\(481\) | −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 | ||||||||
\(486\) | −2.54322e8 | − | 2.51781e9i | −0.100498 | − | 0.994937i | ||||
\(487\) | − | 2.10568e9i | − | 0.826115i | −0.910705 | − | 0.413058i | \(-0.864461\pi\) | ||
0.910705 | − | 0.413058i | \(-0.135539\pi\) | |||||||
\(488\) | −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 | \(-0.463854\pi\) | ||||
0.113311 | + | 0.993560i | \(0.463854\pi\) | |||||||
\(492\) | 4.68751e9 | + | 3.90091e8i | 1.77445 | + | 0.147669i | ||||
\(493\) | 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 | ||||||
\(498\) | 1.69825e9 | + | 5.06771e9i | 0.616167 | + | 1.83869i | ||||
\(499\) | 3.39922e9i | 1.22469i | 0.790590 | + | 0.612346i | \(0.209774\pi\) | ||||
−0.790590 | + | 0.612346i | \(0.790226\pi\) | |||||||
\(500\) | −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 | \(-0.250982\pi\) | ||||
0.704923 | + | 0.709284i | \(0.250982\pi\) | |||||||
\(504\) | 7.53241e8 | + | 3.07373e9i | 0.262076 | + | 1.06944i | ||||
\(505\) | 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 | \(0.936371\pi\) | |||||||
\(510\) | −6.52073e8 | − | 1.94584e9i | −0.217671 | − | 0.649548i | ||||
\(511\) | − | 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 | ||||||||
\(516\) | −4.22382e8 | − | 3.51503e7i | −0.135342 | − | 0.0112630i | ||||
\(517\) | −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 | \(-0.184982\pi\) | |||||||
\(522\) | −2.28133e9 | − | 1.29930e9i | −0.702007 | − | 0.399819i | ||||
\(523\) | − | 2.88980e9i | − | 0.883307i | −0.897186 | − | 0.441654i | \(-0.854392\pi\) | ||
0.897186 | − | 0.441654i | \(-0.145608\pi\) | |||||||
\(524\) | −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 | ||||||||
\(528\) | 1.18112e9 | − | 9.45421e8i | 0.349200 | − | 0.279516i | ||||
\(529\) | 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 | ||||||
\(534\) | −1.94876e9 | + | 6.53053e8i | −0.553815 | + | 0.185590i | ||||
\(535\) | − | 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 | ||||||||
\(540\) | −5.20169e8 | + | 2.64241e9i | −0.142156 | + | 0.722141i | ||||
\(541\) | −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 | ||||||||
\(546\) | 6.38135e9 | − | 2.13846e9i | 1.67779 | − | 0.562247i | ||||
\(547\) | 6.87269e7i | 0.0179544i | 0.999960 | + | 0.00897720i | \(0.00285757\pi\) | ||||
−0.999960 | + | 0.00897720i | \(0.997142\pi\) | |||||||
\(548\) | −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 | ||||||||
\(552\) | 2.30410e9 | − | 4.32594e9i | 0.583062 | − | 1.09470i | ||||
\(553\) | −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 | \(0.932701\pi\) | |||||||
\(558\) | −1.94305e9 | − | 1.10664e9i | −0.473439 | − | 0.269641i | ||||
\(559\) | 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 | \(-0.548773\pi\) | ||||
−0.152627 | + | 0.988284i | \(0.548773\pi\) | |||||||
\(564\) | −2.79869e8 | + | 3.36303e9i | −0.0656868 | + | 0.789322i | ||||
\(565\) | 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 | \(0.783699\pi\) | |||||||
\(570\) | −8.26976e8 | − | 2.46776e9i | −0.187038 | − | 0.558138i | ||||
\(571\) | 6.19314e9i | 1.39215i | 0.717971 | + | 0.696073i | \(0.245071\pi\) | ||||
−0.717971 | + | 0.696073i | \(0.754929\pi\) | |||||||
\(572\) | −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 | ||||||||
\(576\) | −2.55929e9 | − | 3.80601e9i | −0.558009 | − | 0.829835i | ||||
\(577\) | −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 | ||||||||
\(582\) | 1.21766e9 | + | 3.63360e9i | 0.256033 | + | 0.764024i | ||||
\(583\) | − | 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 | \(-0.522164\pi\) | ||||
−0.0695744 | + | 0.997577i | \(0.522164\pi\) | |||||||
\(588\) | −8.68343e7 | + | 1.04344e9i | −0.0176145 | + | 0.211664i | ||||
\(589\) | 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 | \(0.972053\pi\) | |||||||
\(594\) | −2.23362e9 | + | 4.80772e8i | −0.437277 | + | 0.0941211i | ||||
\(595\) | − | 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 | \(-0.809398\pi\) | ||||
−0.826015 | + | 0.563648i | \(0.809398\pi\) | |||||||
\(600\) | −1.13992e9 | + | 2.14019e9i | −0.215449 | + | 0.404505i | ||||
\(601\) | −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 | ||||||
\(606\) | 5.62658e9 | − | 1.88553e9i | 1.02705 | − | 0.344175i | ||||
\(607\) | 7.67054e9i | 1.39209i | 0.718001 | + | 0.696043i | \(0.245058\pi\) | ||||
−0.718001 | + | 0.696043i | \(0.754942\pi\) | |||||||
\(608\) | 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 | ||||||||
\(612\) | −3.18033e9 | − | 4.21230e9i | −0.560843 | − | 0.742829i | ||||
\(613\) | 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 | \(-0.228171\pi\) | |||||||
\(618\) | −5.81017e9 | + | 1.94705e9i | −0.990215 | + | 0.331832i | ||||
\(619\) | − | 7.72256e9i | − | 1.30871i | −0.756187 | − | 0.654356i | \(-0.772940\pi\) | ||
0.756187 | − | 0.654356i | \(-0.227060\pi\) | |||||||
\(620\) | 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 | ||||||||
\(624\) | −7.61476e9 | + | 6.09521e9i | −1.25461 | + | 1.00425i | ||||
\(625\) | −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 | ||||||||
\(630\) | −2.51715e9 | + | 4.41964e9i | −0.401067 | + | 0.704198i | ||||
\(631\) | − | 3.86511e9i | − | 0.612433i | −0.951962 | − | 0.306217i | \(-0.900937\pi\) | ||
0.951962 | − | 0.306217i | \(-0.0990632\pi\) | |||||||
\(632\) | 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 | ||||||||
\(636\) | −2.08157e9 | − | 1.73226e8i | −0.320841 | − | 0.0267002i | ||||
\(637\) | 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 | \(0.924343\pi\) | |||||||
\(642\) | −3.67626e7 | − | 1.09703e8i | −0.00548320 | − | 0.0163623i | ||||
\(643\) | − | 7.73104e9i | − | 1.14683i | −0.819265 | − | 0.573416i | \(-0.805618\pi\) | ||
0.819265 | − | 0.573416i | \(-0.194382\pi\) | |||||||
\(644\) | 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 | \(-0.449126\pi\) | ||||
0.159145 | + | 0.987255i | \(0.449126\pi\) | |||||||
\(648\) | 8.90909e8 | + | 6.86894e9i | 0.128624 | + | 0.991693i | ||||
\(649\) | 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 | \(-0.149858\pi\) | |||||||
\(654\) | 1.64871e9 | + | 4.91989e9i | 0.230474 | + | 0.687754i | ||||
\(655\) | − | 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 | \(-0.668932\pi\) | ||||
−0.506151 | + | 0.862445i | \(0.668932\pi\) | |||||||
\(660\) | 2.42311e9 | + | 2.01650e8i | 0.328073 | + | 0.0273020i | ||||
\(661\) | 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 | ||||||
\(666\) | 5.30345e8 | − | 9.31187e8i | 0.0695663 | − | 0.122145i | ||||
\(667\) | 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 | ||||||||
\(672\) | −2.29901e9 | − | 8.35126e9i | −0.292246 | − | 1.06160i | ||||
\(673\) | 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 | \(0.765528\pi\) | |||||||
\(678\) | 2.71671e9 | − | 9.10400e8i | 0.334764 | − | 0.112183i | ||||
\(679\) | 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 | \(-0.247302\pi\) | ||||
0.713075 | + | 0.701088i | \(0.247302\pi\) | |||||||
\(684\) | −4.03337e9 | − | 5.34214e9i | −0.481917 | − | 0.638292i | ||||
\(685\) | −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 | ||||||||
\(690\) | 7.46899e9 | − | 2.50294e9i | 0.865546 | − | 0.290054i | ||||
\(691\) | 9.50025e8i | 0.109537i | 0.998499 | + | 0.0547686i | \(0.0174421\pi\) | ||||
−0.998499 | + | 0.0547686i | \(0.982558\pi\) | |||||||
\(692\) | 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 | ||||||||
\(696\) | 6.34233e9 | + | 3.37808e9i | 0.713044 | + | 0.379785i | ||||
\(697\) | −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 | \(-0.137972\pi\) | |||||||
\(702\) | 1.44003e10 | − | 3.09958e9i | 1.57106 | − | 0.338160i | ||||
\(703\) | 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 | ||||||||
\(708\) | 3.76354e8 | − | 4.52244e9i | 0.0398548 | − | 0.478913i | ||||
\(709\) | −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 | ||||||||
\(714\) | −3.16729e9 | − | 9.45147e9i | −0.325645 | − | 0.971753i | ||||
\(715\) | − | 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 | \(-0.227812\pi\) | ||||
0.754639 | + | 0.656140i | \(0.227812\pi\) | |||||||
\(720\) | 1.21842e9 | − | 7.26986e9i | 0.121656 | − | 0.725876i | ||||
\(721\) | −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 | ||||||
\(726\) | −2.62065e9 | − | 7.82022e9i | −0.254173 | − | 0.758475i | ||||
\(727\) | 9.39530e9i | 0.906860i | 0.891292 | + | 0.453430i | \(0.149800\pi\) | ||||
−0.891292 | + | 0.453430i | \(0.850200\pi\) | |||||||
\(728\) | −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 | ||||||||
\(732\) | 1.55978e8 | − | 1.87430e9i | 0.0146985 | − | 0.176624i | ||||
\(733\) | 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 | ||||||
\(738\) | 1.68949e10 | + | 9.62226e9i | 1.54724 | + | 0.881211i | ||||
\(739\) | − | 3.96381e8i | − | 0.0361291i | −0.999837 | − | 0.0180646i | \(-0.994250\pi\) | ||
0.999837 | − | 0.0180646i | \(-0.00575044\pi\) | |||||||
\(740\) | −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 | \(-0.569806\pi\) | ||||
−0.217547 | + | 0.976050i | \(0.569806\pi\) | |||||||
\(744\) | 5.40187e9 | + | 2.87717e9i | 0.480882 | + | 0.256130i | ||||
\(745\) | −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 | ||||||
\(750\) | −1.17579e10 | + | 3.94020e9i | −1.01769 | + | 0.341039i | ||||
\(751\) | − | 8.71438e9i | − | 0.750753i | −0.926872 | − | 0.375376i | \(-0.877513\pi\) | ||
0.926872 | − | 0.375376i | \(-0.122487\pi\) | |||||||
\(752\) | 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 | ||||||||
\(756\) | −2.52660e9 | + | 1.28349e10i | −0.212672 | + | 1.08035i | ||||
\(757\) | 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 | \(-0.00639325\pi\) | |||||||
\(762\) | −8.30256e9 | + | 2.78228e9i | −0.679782 | + | 0.227803i | ||||
\(763\) | 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 | ||||||||
\(768\) | 7.29706e9 | + | 1.02148e10i | 0.581278 | + | 0.813705i | ||||
\(769\) | 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 | \(-0.304792\pi\) | |||||||
\(774\) | −1.52236e9 | − | 8.67041e8i | −0.118012 | − | 0.0672119i | ||||
\(775\) | − | 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 | ||||||||
\(780\) | −1.56220e10 | − | 1.30005e9i | −1.17871 | − | 0.0980911i | ||||
\(781\) | −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 | ||||||
\(786\) | −4.27814e8 | − | 1.27663e9i | −0.0314251 | − | 0.0937750i | ||||
\(787\) | − | 2.27878e10i | − | 1.66644i | −0.552939 | − | 0.833222i | \(-0.686494\pi\) | ||
0.552939 | − | 0.833222i | \(-0.313506\pi\) | |||||||
\(788\) | −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 | ||||||||
\(792\) | 6.07387e9 | − | 1.48845e9i | 0.434437 | − | 0.106462i | ||||
\(793\) | −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 | \(0.858930\pi\) | |||||||
\(798\) | −4.01685e9 | − | 1.19866e10i | −0.279818 | − | 0.834999i | ||||
\(799\) | − | 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 | ||||||||
\(804\) | −4.83999e9 | − | 4.02780e8i | −0.328434 | − | 0.0273320i | ||||
\(805\) | 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 | \(0.958675\pi\) | |||||||
\(810\) | −6.54993e9 | + | 9.00117e9i | −0.433051 | + | 0.595116i | ||||
\(811\) | 9.83894e9i | 0.647702i | 0.946108 | + | 0.323851i | \(0.104978\pi\) | ||||
−0.946108 | + | 0.323851i | \(0.895022\pi\) | |||||||
\(812\) | 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 | ||||||||
\(816\) | 9.02767e9 | + | 1.12783e10i | 0.581648 | + | 0.726654i | ||||
\(817\) | 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 | \(0.812651\pi\) | |||||||
\(822\) | −1.27741e10 | + | 4.28075e9i | −0.802195 | + | 0.268824i | ||||
\(823\) | 1.59689e10i | 0.998564i | 0.866439 | + | 0.499282i | \(0.166403\pi\) | ||||
−0.866439 | + | 0.499282i | \(0.833597\pi\) | |||||||
\(824\) | 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 | \(-0.640195\pi\) | ||||
−0.426333 | + | 0.904566i | \(0.640195\pi\) | |||||||
\(828\) | 1.61687e10 | − | 1.22075e10i | 0.989847 | − | 0.747344i | ||||
\(829\) | −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 | ||||||
\(834\) | −1.99879e10 | + | 6.69816e9i | −1.19312 | + | 0.399829i | ||||
\(835\) | 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 | \(-0.672161\pi\) | ||||
−0.514873 | + | 0.857266i | \(0.672161\pi\) | |||||||
\(840\) | 6.54439e9 | − | 1.22870e10i | 0.380971 | − | 0.715270i | ||||
\(841\) | 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 | ||||||||
\(846\) | −6.90345e9 | + | 1.21212e10i | −0.391985 | + | 0.688253i | ||||
\(847\) | − | 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 | ||||||||
\(852\) | −1.31556e8 | + | 1.58084e9i | −0.00728740 | + | 0.0875688i | ||||
\(853\) | −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 | \(0.970509\pi\) | |||||||
\(858\) | −4.22573e9 | − | 1.26099e10i | −0.228400 | − | 0.681564i | ||||
\(859\) | − | 1.01843e9i | − | 0.0548221i | −0.999624 | − | 0.0274111i | \(-0.991274\pi\) | ||
0.999624 | − | 0.0274111i | \(-0.00872631\pi\) | |||||||
\(860\) | 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 | \(-0.298229\pi\) | ||||
0.592278 | + | 0.805734i | \(0.298229\pi\) | |||||||
\(864\) | −2.96974e9 | − | 1.87242e10i | −0.156646 | − | 0.987655i | ||||
\(865\) | 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 | ||||||||
\(870\) | 3.66961e9 | + | 1.09504e10i | 0.188931 | + | 0.563785i | ||||
\(871\) | 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 | ||||||||
\(876\) | −1.28710e8 | + | 1.54664e9i | −0.00646915 | + | 0.0777363i | ||||
\(877\) | −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 | \(-0.245840\pi\) | |||||||
\(882\) | −2.14192e9 | + | 3.76080e9i | −0.105114 | + | 0.184561i | ||||
\(883\) | 2.16342e10i | 1.05750i | 0.848779 | + | 0.528748i | \(0.177338\pi\) | ||||
−0.848779 | + | 0.528748i | \(0.822662\pi\) | |||||||
\(884\) | 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 | \(-0.519074\pi\) | ||||
−0.0598869 | + | 0.998205i | \(0.519074\pi\) | |||||||
\(888\) | −1.37886e9 | + | 2.58879e9i | −0.0660806 | + | 0.124066i | ||||
\(889\) | −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 | ||||||
\(894\) | −1.24247e9 | + | 4.16365e8i | −0.0581572 | + | 0.0194891i | ||||
\(895\) | − | 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 | ||||||||
\(900\) | −7.99921e9 | + | 6.03948e9i | −0.365762 | + | 0.276154i | ||||
\(901\) | 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 | ||||||||
\(906\) | 2.84535e10 | − | 9.53509e9i | 1.27112 | − | 0.425967i | ||||
\(907\) | 6.03196e8i | 0.0268431i | 0.999910 | + | 0.0134216i | \(0.00427234\pi\) | ||||
−0.999910 | + | 0.0134216i | \(0.995728\pi\) | |||||||
\(908\) | −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 | \(-0.299425\pi\) | ||||
0.589246 | + | 0.807954i | \(0.299425\pi\) | |||||||
\(912\) | 1.14491e10 | + | 1.43034e10i | 0.499793 | + | 0.624393i | ||||
\(913\) | 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 | ||||||
\(918\) | −4.59081e9 | − | 2.13285e10i | −0.195857 | − | 0.909934i | ||||
\(919\) | 1.44011e10i | 0.612056i | 0.952022 | + | 0.306028i | \(0.0990002\pi\) | ||||
−0.952022 | + | 0.306028i | \(0.901000\pi\) | |||||||
\(920\) | −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 | ||||||||
\(924\) | 1.17697e10 | + | 9.79468e8i | 0.490811 | + | 0.0408449i | ||||
\(925\) | 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 | \(-0.0545388\pi\) | |||||||
\(930\) | 3.12547e9 | + | 9.32666e9i | 0.127416 | + | 0.380221i | ||||
\(931\) | − | 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 | ||||||||
\(936\) | −3.91587e10 | + | 9.59615e9i | −1.56086 | + | 0.382500i | ||||
\(937\) | 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 | \(-0.173345\pi\) | |||||||
\(942\) | −4.27411e9 | − | 1.27543e10i | −0.166597 | − | 0.497140i | ||||
\(943\) | − | 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 | \(-0.357408\pi\) | ||||
0.433133 | + | 0.901330i | \(0.357408\pi\) | |||||||
\(948\) | 3.12275e10 | + | 2.59873e9i | 1.19044 | + | 0.0990678i | ||||
\(949\) | 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 | \(0.660666\pi\) | |||||||
\(954\) | −7.50245e9 | − | 4.27292e9i | −0.279759 | − | 0.159333i | ||||
\(955\) | 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 | ||||||||
\(960\) | −2.77027e9 | + | 1.99845e10i | −0.101058 | + | 0.729029i | ||||
\(961\) | 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 | ||||||
\(966\) | 3.62789e10 | − | 1.21575e10i | 1.29489 | − | 0.433934i | ||||
\(967\) | − | 1.66727e10i | − | 0.592942i | −0.955042 | − | 0.296471i | \(-0.904190\pi\) | ||
0.955042 | − | 0.296471i | \(-0.0958098\pi\) | |||||||
\(968\) | 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 | \(-0.491327\pi\) | ||||
0.0272445 | + | 0.999629i | \(0.491327\pi\) | |||||||
\(972\) | −8.61699e9 | + | 2.73032e10i | −0.300970 | + | 0.953634i | ||||
\(973\) | −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 | \(0.957777\pi\) | |||||||
\(978\) | 2.02801e10 | − | 6.79608e9i | 0.693240 | − | 0.232313i | ||||
\(979\) | 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 | \(-0.157663\pi\) | ||||
0.879820 | + | 0.475307i | \(0.157663\pi\) | |||||||
\(984\) | −4.69695e10 | − | 2.50171e10i | −1.57157 | − | 0.837056i | ||||
\(985\) | −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 | ||||||||
\(990\) | 8.73347e9 | + | 4.97403e9i | 0.286064 | + | 0.162924i | ||||
\(991\) | 6.02219e9i | 0.196561i | 0.995159 | + | 0.0982803i | \(0.0313342\pi\) | ||||
−0.995159 | + | 0.0982803i | \(0.968666\pi\) | |||||||
\(992\) | −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 | ||||||||
\(996\) | 5.01479e9 | − | 6.02600e10i | 0.160822 | − | 1.93251i | ||||
\(997\) | 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.11.1 | ✓ | 4 | |
3.2 | odd | 2 | inner | 12.8.b.a.11.4 | yes | 4 | |
4.3 | odd | 2 | inner | 12.8.b.a.11.3 | yes | 4 | |
8.3 | odd | 2 | 192.8.c.b.191.1 | 4 | |||
8.5 | even | 2 | 192.8.c.b.191.4 | 4 | |||
12.11 | even | 2 | inner | 12.8.b.a.11.2 | yes | 4 | |
24.5 | odd | 2 | 192.8.c.b.191.2 | 4 | |||
24.11 | even | 2 | 192.8.c.b.191.3 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.8.b.a.11.1 | ✓ | 4 | 1.1 | even | 1 | trivial | |
12.8.b.a.11.2 | yes | 4 | 12.11 | even | 2 | inner | |
12.8.b.a.11.3 | yes | 4 | 4.3 | odd | 2 | inner | |
12.8.b.a.11.4 | yes | 4 | 3.2 | odd | 2 | inner | |
192.8.c.b.191.1 | 4 | 8.3 | odd | 2 | |||
192.8.c.b.191.2 | 4 | 24.5 | odd | 2 | |||
192.8.c.b.191.3 | 4 | 24.11 | even | 2 | |||
192.8.c.b.191.4 | 4 | 8.5 | even | 2 |