Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 10.16 | ||
Character | \(\chi\) | \(=\) | 43.10 |
Dual form | 43.10.g.a.13.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.699360 | + | 3.06409i | 0.0309076 | + | 0.135415i | 0.988028 | − | 0.154276i | \(-0.0493045\pi\) |
−0.957120 | + | 0.289691i | \(0.906447\pi\) | |||||||
\(3\) | 39.6781 | + | 36.8159i | 0.282817 | + | 0.262416i | 0.808806 | − | 0.588075i | \(-0.200114\pi\) |
−0.525989 | + | 0.850491i | \(0.676305\pi\) | |||||||
\(4\) | 452.396 | − | 217.863i | 0.883587 | − | 0.425513i | ||||
\(5\) | −2404.07 | + | 362.355i | −1.72021 | + | 0.259280i | −0.933639 | − | 0.358215i | \(-0.883385\pi\) |
−0.786574 | + | 0.617496i | \(0.788147\pi\) | |||||||
\(6\) | −85.0582 | + | 147.325i | −0.0267939 | + | 0.0464084i | ||||
\(7\) | 715.663 | + | 1239.56i | 0.112659 | + | 0.195132i | 0.916842 | − | 0.399251i | \(-0.130730\pi\) |
−0.804182 | + | 0.594383i | \(0.797396\pi\) | |||||||
\(8\) | 1987.24 | + | 2491.91i | 0.171532 | + | 0.215094i | ||||
\(9\) | −1251.97 | − | 16706.4i | −0.0636067 | − | 0.848772i | ||||
\(10\) | −2791.60 | − | 7112.89i | −0.0882782 | − | 0.224929i | ||||
\(11\) | 57138.0 | + | 27516.2i | 1.17668 | + | 0.566659i | 0.916942 | − | 0.399021i | \(-0.130650\pi\) |
0.259737 | + | 0.965679i | \(0.416364\pi\) | |||||||
\(12\) | 25971.1 | + | 8011.01i | 0.361555 | + | 0.111525i | ||||
\(13\) | 27015.2 | − | 68833.5i | 0.262339 | − | 0.668428i | −0.737638 | − | 0.675196i | \(-0.764059\pi\) |
0.999977 | + | 0.00676791i | \(0.00215431\pi\) | |||||||
\(14\) | −3297.64 | + | 3059.76i | −0.0229418 | + | 0.0212868i | ||||
\(15\) | −108730. | − | 74130.5i | −0.554545 | − | 0.378082i | ||||
\(16\) | 154045. | − | 193167.i | 0.587636 | − | 0.736872i | ||||
\(17\) | −49199.3 | − | 7415.61i | −0.142869 | − | 0.0215341i | 0.0772182 | − | 0.997014i | \(-0.475396\pi\) |
−0.220088 | + | 0.975480i | \(0.570634\pi\) | |||||||
\(18\) | 50314.4 | − | 15519.9i | 0.112971 | − | 0.0348468i | ||||
\(19\) | −5644.10 | + | 75315.3i | −0.00993582 | + | 0.132584i | −0.999966 | − | 0.00827266i | \(-0.997367\pi\) |
0.990030 | + | 0.140857i | \(0.0449857\pi\) | |||||||
\(20\) | −1.00865e6 | + | 687686.i | −1.40963 | + | 0.961070i | ||||
\(21\) | −17239.5 | + | 75531.4i | −0.0193437 | + | 0.0847502i | ||||
\(22\) | −44352.3 | + | 194320.i | −0.0403658 | + | 0.176854i | ||||
\(23\) | 1.03845e6 | − | 708000.i | 0.773764 | − | 0.527543i | −0.110867 | − | 0.993835i | \(-0.535363\pi\) |
0.884631 | + | 0.466292i | \(0.154410\pi\) | |||||||
\(24\) | −12892.4 | + | 172036.i | −0.00793198 | + | 0.105845i | ||||
\(25\) | 3.78190e6 | − | 1.16656e6i | 1.93633 | − | 0.597280i | ||||
\(26\) | 229806. | + | 34637.6i | 0.0986235 | + | 0.0148651i | ||||
\(27\) | 1.22964e6 | − | 1.54192e6i | 0.445290 | − | 0.558375i | ||||
\(28\) | 593818. | + | 404858.i | 0.182575 | + | 0.124478i | ||||
\(29\) | 2.78471e6 | − | 2.58383e6i | 0.731121 | − | 0.678381i | −0.224003 | − | 0.974588i | \(-0.571913\pi\) |
0.955124 | + | 0.296208i | \(0.0957221\pi\) | |||||||
\(30\) | 151102. | − | 385001.i | 0.0340584 | − | 0.0867794i | ||||
\(31\) | 3.35005e6 | + | 1.03336e6i | 0.651515 | + | 0.200966i | 0.602856 | − | 0.797850i | \(-0.294029\pi\) |
0.0486585 | + | 0.998815i | \(0.484505\pi\) | |||||||
\(32\) | 2.16989e6 | + | 1.04497e6i | 0.365817 | + | 0.176168i | ||||
\(33\) | 1.25409e6 | + | 3.19538e6i | 0.184085 | + | 0.469040i | ||||
\(34\) | −11685.9 | − | 155938.i | −0.00149971 | − | 0.0200122i | ||||
\(35\) | −2.16967e6 | − | 2.72068e6i | −0.244392 | − | 0.306458i | ||||
\(36\) | −4.20609e6 | − | 7.28515e6i | −0.417366 | − | 0.722899i | ||||
\(37\) | 2.10772e6 | − | 3.65068e6i | 0.184887 | − | 0.320233i | −0.758652 | − | 0.651497i | \(-0.774141\pi\) |
0.943538 | + | 0.331263i | \(0.107475\pi\) | |||||||
\(38\) | −234720. | + | 35378.4i | −0.0182610 | + | 0.00275240i | ||||
\(39\) | 3.60608e6 | − | 1.73660e6i | 0.249600 | − | 0.120201i | ||||
\(40\) | −5.68041e6 | − | 5.27065e6i | −0.350841 | − | 0.325533i | ||||
\(41\) | 1.89808e6 | + | 8.31605e6i | 0.104903 | + | 0.459610i | 0.999908 | + | 0.0135544i | \(0.00431463\pi\) |
−0.895005 | + | 0.446056i | \(0.852828\pi\) | |||||||
\(42\) | −243492. | −0.0120743 | ||||||||
\(43\) | 6.52849e6 | − | 2.14469e7i | 0.291209 | − | 0.956660i | ||||
\(44\) | 3.18438e7 | 1.28082 | ||||||||
\(45\) | 9.06348e6 | + | 3.97097e7i | 0.329487 | + | 1.44358i | ||||
\(46\) | 2.89563e6 | + | 2.68675e6i | 0.0953525 | + | 0.0884742i | ||||
\(47\) | 1.49572e6 | − | 720301.i | 0.0447106 | − | 0.0215315i | −0.411395 | − | 0.911457i | \(-0.634958\pi\) |
0.456105 | + | 0.889926i | \(0.349244\pi\) | |||||||
\(48\) | 1.32238e7 | − | 1.99317e6i | 0.359560 | − | 0.0541950i | ||||
\(49\) | 1.91525e7 | − | 3.31730e7i | 0.474616 | − | 0.822059i | ||||
\(50\) | 6.21937e6 | + | 1.07723e7i | 0.140728 | + | 0.243748i | ||||
\(51\) | −1.67913e6 | − | 2.10556e6i | −0.0347550 | − | 0.0435814i | ||||
\(52\) | −2.77469e6 | − | 3.70256e7i | −0.0526258 | − | 0.702243i | ||||
\(53\) | 1.72890e7 | + | 4.40516e7i | 0.300973 | + | 0.766867i | 0.998723 | + | 0.0505256i | \(0.0160896\pi\) |
−0.697749 | + | 0.716342i | \(0.745815\pi\) | |||||||
\(54\) | 5.58457e6 | + | 2.68939e6i | 0.0893753 | + | 0.0430409i | ||||
\(55\) | −1.47334e8 | − | 4.54467e7i | −2.17106 | − | 0.669684i | ||||
\(56\) | −1.66670e6 | + | 4.24668e6i | −0.0226470 | + | 0.0577036i | ||||
\(57\) | −2.99675e6 | + | 2.78058e6i | −0.0376022 | + | 0.0348898i | ||||
\(58\) | 9.86463e6 | + | 6.72559e6i | 0.114460 | + | 0.0780377i | ||||
\(59\) | −8.77851e7 | + | 1.10079e8i | −0.943163 | + | 1.18269i | 0.0398598 | + | 0.999205i | \(0.487309\pi\) |
−0.983023 | + | 0.183484i | \(0.941263\pi\) | |||||||
\(60\) | −6.53391e7 | − | 9.84829e6i | −0.650868 | − | 0.0981025i | ||||
\(61\) | −1.33256e8 | + | 4.11040e7i | −1.23226 | + | 0.380101i | −0.841432 | − | 0.540363i | \(-0.818287\pi\) |
−0.390826 | + | 0.920464i | \(0.627811\pi\) | |||||||
\(62\) | −823405. | + | 1.09876e7i | −0.00707703 | + | 0.0944363i | ||||
\(63\) | 1.98126e7 | − | 1.35080e7i | 0.158456 | − | 0.108034i | ||||
\(64\) | 2.64644e7 | − | 1.15948e8i | 0.197175 | − | 0.863882i | ||||
\(65\) | −4.00042e7 | + | 1.75270e8i | −0.277968 | + | 1.21786i | ||||
\(66\) | −8.91389e6 | + | 6.07738e6i | −0.0578255 | + | 0.0394248i | ||||
\(67\) | 1.22015e7 | − | 1.62818e8i | 0.0739738 | − | 0.987112i | −0.829510 | − | 0.558491i | \(-0.811380\pi\) |
0.903484 | − | 0.428621i | \(-0.141000\pi\) | |||||||
\(68\) | −2.38732e7 | + | 7.36391e6i | −0.135401 | + | 0.0417655i | ||||
\(69\) | 6.72693e7 | + | 1.01392e7i | 0.357269 | + | 0.0538497i | ||||
\(70\) | 6.81903e6 | − | 8.55079e6i | 0.0339454 | − | 0.0425662i | ||||
\(71\) | 6.69487e7 | + | 4.56448e7i | 0.312665 | + | 0.213172i | 0.709477 | − | 0.704728i | \(-0.248931\pi\) |
−0.396812 | + | 0.917900i | \(0.629884\pi\) | |||||||
\(72\) | 3.91429e7 | − | 3.63193e7i | 0.171655 | − | 0.159273i | ||||
\(73\) | −5.77804e7 | + | 1.47222e8i | −0.238138 | + | 0.606765i | −0.999117 | − | 0.0420112i | \(-0.986623\pi\) |
0.760980 | + | 0.648776i | \(0.224719\pi\) | |||||||
\(74\) | 1.26601e7 | + | 3.90512e6i | 0.0490789 | + | 0.0151388i | ||||
\(75\) | 1.93007e8 | + | 9.29473e7i | 0.704364 | + | 0.339204i | ||||
\(76\) | 1.38550e7 | + | 3.53020e7i | 0.0476372 | + | 0.121378i | ||||
\(77\) | 6.78342e6 | + | 9.05185e7i | 0.0219908 | + | 0.293447i | ||||
\(78\) | 7.84304e6 | + | 9.83487e6i | 0.0239916 | + | 0.0300845i | ||||
\(79\) | −2.53303e8 | − | 4.38734e8i | −0.731676 | − | 1.26730i | −0.956167 | − | 0.292823i | \(-0.905405\pi\) |
0.224491 | − | 0.974476i | \(-0.427928\pi\) | |||||||
\(80\) | −3.00341e8 | + | 5.20205e8i | −0.819802 | + | 1.41994i | ||||
\(81\) | −2.20513e8 | + | 3.32370e7i | −0.569184 | + | 0.0857906i | ||||
\(82\) | −2.41537e7 | + | 1.16318e7i | −0.0589959 | + | 0.0284109i | ||||
\(83\) | −1.69416e8 | − | 1.57195e8i | −0.391835 | − | 0.363569i | 0.459513 | − | 0.888171i | \(-0.348024\pi\) |
−0.851348 | + | 0.524602i | \(0.824214\pi\) | |||||||
\(84\) | 8.65636e6 | + | 3.79260e7i | 0.0189705 | + | 0.0831151i | ||||
\(85\) | 1.20966e8 | 0.251349 | ||||||||
\(86\) | 7.02812e7 | + | 5.00477e6i | 0.138547 | + | 0.00986600i | ||||
\(87\) | 2.05618e8 | 0.384791 | ||||||||
\(88\) | 4.49786e7 | + | 1.97064e8i | 0.0799529 | + | 0.350296i | ||||
\(89\) | −3.57057e8 | − | 3.31301e8i | −0.603230 | − | 0.559715i | 0.318316 | − | 0.947985i | \(-0.396883\pi\) |
−0.921546 | + | 0.388269i | \(0.873073\pi\) | |||||||
\(90\) | −1.15336e8 | + | 5.55427e7i | −0.185299 | + | 0.0892351i | ||||
\(91\) | 1.04657e8 | − | 1.57745e7i | 0.159986 | − | 0.0241141i | ||||
\(92\) | 3.15542e8 | − | 5.46535e8i | 0.459211 | − | 0.795377i | ||||
\(93\) | 9.48800e7 | + | 1.64337e8i | 0.131523 | + | 0.227804i | ||||
\(94\) | 3.25312e6 | + | 4.07928e6i | 0.00429758 | + | 0.00538900i | ||||
\(95\) | −1.37221e7 | − | 1.83108e8i | −0.0172848 | − | 0.230649i | ||||
\(96\) | 4.76259e7 | + | 1.21349e8i | 0.0572299 | + | 0.145819i | ||||
\(97\) | −3.17999e8 | − | 1.53140e8i | −0.364714 | − | 0.175637i | 0.242546 | − | 0.970140i | \(-0.422017\pi\) |
−0.607261 | + | 0.794503i | \(0.707732\pi\) | |||||||
\(98\) | 1.15040e8 | + | 3.54851e7i | 0.125988 | + | 0.0388623i | ||||
\(99\) | 3.88161e8 | − | 9.89019e8i | 0.406120 | − | 1.03478i | ||||
\(100\) | 1.45677e9 | − | 1.35168e9i | 1.45677 | − | 1.35168i | ||||
\(101\) | 1.41176e9 | + | 9.62524e8i | 1.34994 | + | 0.920376i | 0.999866 | − | 0.0163447i | \(-0.00520291\pi\) |
0.350077 | + | 0.936721i | \(0.386155\pi\) | |||||||
\(102\) | 5.27731e6 | − | 6.61754e6i | 0.00482739 | − | 0.00605335i | ||||
\(103\) | 2.04437e9 | + | 3.08139e8i | 1.78975 | + | 0.269761i | 0.958284 | − | 0.285818i | \(-0.0922653\pi\) |
0.831464 | + | 0.555579i | \(0.187503\pi\) | |||||||
\(104\) | 2.25213e8 | − | 6.94689e7i | 0.188774 | − | 0.0582291i | ||||
\(105\) | 1.40759e7 | − | 1.87830e8i | 0.0113012 | − | 0.150804i | ||||
\(106\) | −1.22887e8 | + | 8.37830e7i | −0.0945431 | + | 0.0644584i | ||||
\(107\) | −8.17424e7 | + | 3.58137e8i | −0.0602866 | + | 0.264133i | −0.996085 | − | 0.0884035i | \(-0.971824\pi\) |
0.935798 | + | 0.352536i | \(0.114681\pi\) | |||||||
\(108\) | 2.20359e8 | − | 9.65455e8i | 0.155856 | − | 0.682850i | ||||
\(109\) | −1.47670e9 | + | 1.00680e9i | −1.00201 | + | 0.683160i | −0.948948 | − | 0.315431i | \(-0.897851\pi\) |
−0.0530630 | + | 0.998591i | \(0.516898\pi\) | |||||||
\(110\) | 3.62131e7 | − | 4.83230e8i | 0.0235830 | − | 0.314693i | ||||
\(111\) | 2.18034e8 | − | 6.72546e7i | 0.136323 | − | 0.0420502i | ||||
\(112\) | 3.49687e8 | + | 5.27068e7i | 0.209990 | + | 0.0316509i | ||||
\(113\) | −4.40014e8 | + | 5.51760e8i | −0.253871 | + | 0.318344i | −0.892393 | − | 0.451259i | \(-0.850975\pi\) |
0.638522 | + | 0.769604i | \(0.279546\pi\) | |||||||
\(114\) | −1.06158e7 | − | 7.23770e6i | −0.00588680 | − | 0.00401355i | ||||
\(115\) | −2.23995e9 | + | 2.07837e9i | −1.19426 | + | 1.10811i | ||||
\(116\) | 6.96872e8 | − | 1.77560e9i | 0.357349 | − | 0.910510i | ||||
\(117\) | −1.18378e9 | − | 3.65148e8i | −0.584030 | − | 0.180149i | ||||
\(118\) | −3.98686e8 | − | 1.91997e8i | −0.189305 | − | 0.0911644i | ||||
\(119\) | −2.60180e7 | − | 6.62928e7i | −0.0118936 | − | 0.0303044i | ||||
\(120\) | −3.13442e7 | − | 4.18260e8i | −0.0137988 | − | 0.184132i | ||||
\(121\) | 1.03745e9 | + | 1.30092e9i | 0.439981 | + | 0.551719i | ||||
\(122\) | −2.19140e8 | − | 3.79562e8i | −0.0895577 | − | 0.155118i | ||||
\(123\) | −2.30851e8 | + | 3.99845e8i | −0.0909407 | + | 0.157514i | ||||
\(124\) | 1.74068e9 | − | 2.62366e8i | 0.661183 | − | 0.0996574i | ||||
\(125\) | −4.39101e9 | + | 2.11460e9i | −1.60868 | + | 0.774700i | ||||
\(126\) | 5.52461e7 | + | 5.12609e7i | 0.0195269 | + | 0.0181183i | ||||
\(127\) | 3.42806e8 | + | 1.50193e9i | 0.116932 | + | 0.512310i | 0.999140 | + | 0.0414524i | \(0.0131985\pi\) |
−0.882209 | + | 0.470858i | \(0.843944\pi\) | |||||||
\(128\) | 1.60689e9 | 0.529103 | ||||||||
\(129\) | 1.04863e9 | − | 6.10623e8i | 0.333401 | − | 0.194142i | ||||
\(130\) | −5.65020e8 | −0.173508 | ||||||||
\(131\) | −1.26569e9 | − | 5.54533e9i | −0.375496 | − | 1.64515i | −0.711056 | − | 0.703135i | \(-0.751783\pi\) |
0.335561 | − | 0.942019i | \(-0.391074\pi\) | |||||||
\(132\) | 1.26350e9 | + | 1.17236e9i | 0.362237 | + | 0.336107i | ||||
\(133\) | −9.73974e7 | + | 4.69041e7i | −0.0269907 | + | 0.0129981i | ||||
\(134\) | 5.07424e8 | − | 7.64819e7i | 0.135956 | − | 0.0204921i | ||||
\(135\) | −2.39743e9 | + | 4.15247e9i | −0.621217 | + | 1.07598i | ||||
\(136\) | −7.92916e7 | − | 1.37337e8i | −0.0198748 | − | 0.0344241i | ||||
\(137\) | 2.00246e9 | + | 2.51100e9i | 0.485646 | + | 0.608981i | 0.962925 | − | 0.269771i | \(-0.0869480\pi\) |
−0.477278 | + | 0.878752i | \(0.658377\pi\) | |||||||
\(138\) | 1.59779e7 | + | 2.13210e8i | 0.00375028 | + | 0.0500440i | ||||
\(139\) | −1.47713e9 | − | 3.76367e9i | −0.335623 | − | 0.855154i | −0.994675 | − | 0.103057i | \(-0.967138\pi\) |
0.659052 | − | 0.752097i | \(-0.270958\pi\) | |||||||
\(140\) | −1.57428e9 | − | 7.58135e8i | −0.346343 | − | 0.166790i | ||||
\(141\) | 8.58660e7 | + | 2.64861e7i | 0.0182951 | + | 0.00564330i | ||||
\(142\) | −9.30389e7 | + | 2.37059e8i | −0.0192029 | + | 0.0489282i | ||||
\(143\) | 3.43763e9 | − | 3.18965e9i | 0.687459 | − | 0.637869i | ||||
\(144\) | −3.41998e9 | − | 2.33170e9i | −0.662814 | − | 0.451899i | ||||
\(145\) | −5.75838e9 | + | 7.22077e9i | −1.08179 | + | 1.35652i | ||||
\(146\) | −4.91512e8 | − | 7.40835e7i | −0.0895254 | − | 0.0134938i | ||||
\(147\) | 1.98123e9 | − | 6.11129e8i | 0.349951 | − | 0.107946i | ||||
\(148\) | 1.58179e8 | − | 2.11075e9i | 0.0271001 | − | 0.361626i | ||||
\(149\) | −7.48817e9 | + | 5.10535e9i | −1.24462 | + | 0.848569i | −0.992868 | − | 0.119222i | \(-0.961960\pi\) |
−0.251755 | + | 0.967791i | \(0.581008\pi\) | |||||||
\(150\) | −1.49818e8 | + | 6.56395e8i | −0.0241631 | + | 0.105866i | ||||
\(151\) | −6.72503e7 | + | 2.94643e8i | −0.0105268 | + | 0.0461211i | −0.979919 | − | 0.199398i | \(-0.936101\pi\) |
0.969392 | + | 0.245519i | \(0.0789584\pi\) | |||||||
\(152\) | −1.98895e8 | + | 1.35605e8i | −0.0302224 | + | 0.0206053i | ||||
\(153\) | −6.22919e7 | + | 8.31227e8i | −0.00919009 | + | 0.122633i | ||||
\(154\) | −2.72613e8 | + | 8.40901e7i | −0.0390574 | + | 0.0120476i | ||||
\(155\) | −8.42821e9 | − | 1.27035e9i | −1.17285 | − | 0.176779i | ||||
\(156\) | 1.25304e9 | − | 1.57126e9i | 0.169396 | − | 0.212416i | ||||
\(157\) | 7.60075e9 | + | 5.18211e9i | 0.998408 | + | 0.680703i | 0.948081 | − | 0.318030i | \(-0.103021\pi\) |
0.0503275 | + | 0.998733i | \(0.483973\pi\) | |||||||
\(158\) | 1.16717e9 | − | 1.08298e9i | 0.148997 | − | 0.138249i | ||||
\(159\) | −9.35806e8 | + | 2.38440e9i | −0.116118 | + | 0.295863i | ||||
\(160\) | −5.59522e9 | − | 1.72590e9i | −0.674959 | − | 0.208197i | ||||
\(161\) | 1.62079e9 | + | 7.80530e8i | 0.190112 | + | 0.0915531i | ||||
\(162\) | −2.56060e8 | − | 6.52429e8i | −0.0292095 | − | 0.0744245i | ||||
\(163\) | −9.07698e6 | − | 1.21124e8i | −0.00100716 | − | 0.0134396i | 0.996678 | − | 0.0814482i | \(-0.0259545\pi\) |
−0.997685 | + | 0.0680086i | \(0.978335\pi\) | |||||||
\(164\) | 2.67044e9 | + | 3.34863e9i | 0.288261 | + | 0.361468i | ||||
\(165\) | −4.17280e9 | − | 7.22749e9i | −0.438278 | − | 0.759119i | ||||
\(166\) | 3.63178e8 | − | 6.29042e8i | 0.0371221 | − | 0.0642974i | ||||
\(167\) | −1.94000e9 | + | 2.92408e8i | −0.193009 | + | 0.0290914i | −0.244835 | − | 0.969565i | \(-0.578734\pi\) |
0.0518262 | + | 0.998656i | \(0.483496\pi\) | |||||||
\(168\) | −2.22477e8 | + | 1.07139e8i | −0.0215473 | + | 0.0103766i | ||||
\(169\) | 3.76542e9 | + | 3.49380e9i | 0.355077 | + | 0.329464i | ||||
\(170\) | 8.45986e7 | + | 3.70651e8i | 0.00776861 | + | 0.0340365i | ||||
\(171\) | 1.26531e9 | 0.113166 | ||||||||
\(172\) | −1.71903e9 | − | 1.11248e10i | −0.149763 | − | 0.969205i | ||||
\(173\) | 1.85443e10 | 1.57399 | 0.786995 | − | 0.616959i | \(-0.211636\pi\) | ||||
0.786995 | + | 0.616959i | \(0.211636\pi\) | |||||||
\(174\) | 1.43801e8 | + | 6.30034e8i | 0.0118930 | + | 0.0521066i | ||||
\(175\) | 4.15260e9 | + | 3.85305e9i | 0.334694 | + | 0.310551i | ||||
\(176\) | 1.41170e10 | − | 6.79841e9i | 1.10901 | − | 0.534073i | ||||
\(177\) | −7.53581e9 | + | 1.13584e9i | −0.577099 | + | 0.0869837i | ||||
\(178\) | 7.65425e8 | − | 1.32575e9i | 0.0571495 | − | 0.0989859i | ||||
\(179\) | 6.38744e8 | + | 1.10634e9i | 0.0465038 | + | 0.0805469i | 0.888340 | − | 0.459186i | \(-0.151859\pi\) |
−0.841837 | + | 0.539733i | \(0.818525\pi\) | |||||||
\(180\) | 1.27515e10 | + | 1.59899e10i | 0.905392 | + | 1.13533i | ||||
\(181\) | −1.46871e9 | − | 1.95986e10i | −0.101714 | − | 1.35728i | −0.781515 | − | 0.623886i | \(-0.785553\pi\) |
0.679801 | − | 0.733397i | \(-0.262066\pi\) | |||||||
\(182\) | 1.21528e8 | + | 3.09648e8i | 0.00821021 | + | 0.0209193i | ||||
\(183\) | −6.80062e9 | − | 3.27501e9i | −0.448248 | − | 0.215865i | ||||
\(184\) | 3.82791e9 | + | 1.18075e9i | 0.246196 | + | 0.0759415i | ||||
\(185\) | −3.74427e9 | + | 9.54025e9i | −0.235014 | + | 0.598807i | ||||
\(186\) | −4.37189e8 | + | 4.05652e8i | −0.0267831 | + | 0.0248511i | ||||
\(187\) | −2.60710e9 | − | 1.77749e9i | −0.155909 | − | 0.106297i | ||||
\(188\) | 5.19732e8 | − | 6.51723e8i | 0.0303437 | − | 0.0380499i | ||||
\(189\) | 2.79132e9 | + | 4.20724e8i | 0.159123 | + | 0.0239839i | ||||
\(190\) | 5.51465e8 | − | 1.70104e8i | 0.0306992 | − | 0.00946944i | ||||
\(191\) | −2.01480e9 | + | 2.68856e10i | −0.109542 | + | 1.46174i | 0.623643 | + | 0.781709i | \(0.285652\pi\) |
−0.733185 | + | 0.680029i | \(0.761967\pi\) | |||||||
\(192\) | 5.31881e9 | − | 3.62630e9i | 0.282461 | − | 0.192579i | ||||
\(193\) | 5.45944e9 | − | 2.39194e10i | 0.283230 | − | 1.24091i | −0.610394 | − | 0.792098i | \(-0.708989\pi\) |
0.893624 | − | 0.448816i | \(-0.148154\pi\) | |||||||
\(194\) | 2.46841e8 | − | 1.08148e9i | 0.0125115 | − | 0.0548164i | ||||
\(195\) | −8.04001e9 | + | 5.48158e9i | −0.398199 | + | 0.271488i | ||||
\(196\) | 1.43734e9 | − | 1.91800e10i | 0.0695676 | − | 0.928315i | ||||
\(197\) | 1.82629e10 | − | 5.63337e9i | 0.863917 | − | 0.266483i | 0.169038 | − | 0.985610i | \(-0.445934\pi\) |
0.694879 | + | 0.719126i | \(0.255458\pi\) | |||||||
\(198\) | 3.30191e9 | + | 4.97683e8i | 0.152676 | + | 0.0230123i | ||||
\(199\) | 8.66454e9 | − | 1.08650e10i | 0.391658 | − | 0.491123i | −0.546438 | − | 0.837500i | \(-0.684017\pi\) |
0.938096 | + | 0.346377i | \(0.112588\pi\) | |||||||
\(200\) | 1.04225e10 | + | 7.10594e9i | 0.460614 | + | 0.314041i | ||||
\(201\) | 6.47844e9 | − | 6.01112e9i | 0.279955 | − | 0.259760i | ||||
\(202\) | −1.96193e9 | + | 4.99893e9i | −0.0829093 | + | 0.211249i | ||||
\(203\) | 5.19574e9 | + | 1.60267e9i | 0.214741 | + | 0.0662389i | ||||
\(204\) | −1.21835e9 | − | 5.86728e8i | −0.0492535 | − | 0.0237193i | ||||
\(205\) | −7.57650e9 | − | 1.93046e10i | −0.299624 | − | 0.763428i | ||||
\(206\) | 4.85582e8 | + | 6.47964e9i | 0.0187871 | + | 0.250697i | ||||
\(207\) | −1.31282e10 | − | 1.64623e10i | −0.496981 | − | 0.623194i | ||||
\(208\) | −9.13477e9 | − | 1.58219e10i | −0.338386 | − | 0.586102i | ||||
\(209\) | −2.39488e9 | + | 4.14806e9i | −0.0868213 | + | 0.150379i | ||||
\(210\) | 5.85372e8 | − | 8.82306e7i | 0.0207704 | − | 0.00313064i | ||||
\(211\) | 1.45955e10 | − | 7.02883e9i | 0.506931 | − | 0.244125i | −0.162895 | − | 0.986643i | \(-0.552083\pi\) |
0.669826 | + | 0.742518i | \(0.266369\pi\) | |||||||
\(212\) | 1.74187e10 | + | 1.61622e10i | 0.592248 | + | 0.549526i | ||||
\(213\) | 9.75942e8 | + | 4.27588e9i | 0.0324875 | + | 0.142337i | ||||
\(214\) | −1.15453e9 | −0.0376309 | ||||||||
\(215\) | −7.92352e9 | + | 5.39256e10i | −0.252898 | + | 1.72116i | ||||
\(216\) | 6.28594e9 | 0.196484 | ||||||||
\(217\) | 1.11660e9 | + | 4.89214e9i | 0.0341844 | + | 0.149772i | ||||
\(218\) | −4.11766e9 | − | 3.82063e9i | −0.123480 | − | 0.114573i | ||||
\(219\) | −7.71274e9 | + | 3.71426e9i | −0.226574 | + | 0.109112i | ||||
\(220\) | −7.65547e10 | + | 1.15388e10i | −2.20328 | + | 0.332091i | ||||
\(221\) | −1.83957e9 | + | 3.18623e9i | −0.0518742 | + | 0.0898487i | ||||
\(222\) | 3.58558e8 | + | 6.21042e8i | 0.00990767 | + | 0.0171606i | ||||
\(223\) | 4.11391e10 | + | 5.15868e10i | 1.11399 | + | 1.39690i | 0.908317 | + | 0.418283i | \(0.137368\pi\) |
0.205676 | + | 0.978620i | \(0.434061\pi\) | |||||||
\(224\) | 2.57610e8 | + | 3.43756e9i | 0.00683669 | + | 0.0912294i | ||||
\(225\) | −2.42239e10 | − | 6.17214e10i | −0.630119 | − | 1.60552i | ||||
\(226\) | −1.99837e9 | − | 9.62366e8i | −0.0509552 | − | 0.0245387i | ||||
\(227\) | −5.74302e10 | − | 1.77149e10i | −1.43557 | − | 0.442815i | −0.523210 | − | 0.852204i | \(-0.675266\pi\) |
−0.912360 | + | 0.409389i | \(0.865742\pi\) | |||||||
\(228\) | −7.49935e8 | + | 1.91080e9i | −0.0183788 | + | 0.0468284i | ||||
\(229\) | −2.63520e10 | + | 2.44511e10i | −0.633218 | + | 0.587541i | −0.930070 | − | 0.367383i | \(-0.880254\pi\) |
0.296851 | + | 0.954924i | \(0.404063\pi\) | |||||||
\(230\) | −7.93485e9 | − | 5.40989e9i | −0.186966 | − | 0.127471i | ||||
\(231\) | −3.06337e9 | + | 3.84134e9i | −0.0707857 | + | 0.0887625i | ||||
\(232\) | 1.19726e10 | + | 1.80457e9i | 0.271326 | + | 0.0408958i | ||||
\(233\) | 5.65639e10 | − | 1.74477e10i | 1.25730 | − | 0.387825i | 0.406661 | − | 0.913579i | \(-0.366693\pi\) |
0.850636 | + | 0.525755i | \(0.176217\pi\) | |||||||
\(234\) | 2.90960e8 | − | 3.88259e9i | 0.00634397 | − | 0.0846545i | ||||
\(235\) | −3.33481e9 | + | 2.27364e9i | −0.0713290 | + | 0.0486313i | ||||
\(236\) | −1.57316e10 | + | 6.89245e10i | −0.330117 | + | 1.44634i | ||||
\(237\) | 6.10180e9 | − | 2.67337e10i | 0.125629 | − | 0.550417i | ||||
\(238\) | 1.84931e8 | − | 1.26084e8i | 0.00373607 | − | 0.00254721i | ||||
\(239\) | 5.89073e9 | − | 7.86063e10i | 0.116783 | − | 1.55836i | −0.563940 | − | 0.825816i | \(-0.690715\pi\) |
0.680723 | − | 0.732541i | \(-0.261666\pi\) | |||||||
\(240\) | −3.10688e10 | + | 9.58346e9i | −0.604469 | + | 0.186454i | ||||
\(241\) | 3.80801e10 | + | 5.73965e9i | 0.727145 | + | 0.109599i | 0.502175 | − | 0.864766i | \(-0.332533\pi\) |
0.224970 | + | 0.974366i | \(0.427772\pi\) | |||||||
\(242\) | −3.26060e9 | + | 4.08867e9i | −0.0611123 | + | 0.0766324i | ||||
\(243\) | −4.20468e10 | − | 2.86670e10i | −0.773578 | − | 0.527417i | ||||
\(244\) | −5.13294e10 | + | 4.76268e10i | −0.927069 | + | 0.860195i | ||||
\(245\) | −3.40234e10 | + | 8.66903e10i | −0.603297 | + | 1.53717i | ||||
\(246\) | −1.38661e9 | − | 4.27713e8i | −0.0241405 | − | 0.00744637i | ||||
\(247\) | 5.03174e9 | + | 2.42316e9i | 0.0860165 | + | 0.0414234i | ||||
\(248\) | 4.08232e9 | + | 1.04016e10i | 0.0685289 | + | 0.174609i | ||||
\(249\) | −9.34828e8 | − | 1.24744e10i | −0.0154111 | − | 0.205647i | ||||
\(250\) | −9.55023e9 | − | 1.19756e10i | −0.154627 | − | 0.193896i | ||||
\(251\) | 1.93993e10 | + | 3.36006e10i | 0.308499 | + | 0.534336i | 0.978034 | − | 0.208444i | \(-0.0668399\pi\) |
−0.669535 | + | 0.742780i | \(0.733507\pi\) | |||||||
\(252\) | 6.02028e9 | − | 1.04274e10i | 0.0940403 | − | 0.162883i | ||||
\(253\) | 7.88162e10 | − | 1.18796e10i | 1.20941 | − | 0.182289i | ||||
\(254\) | −4.36231e9 | + | 2.10078e9i | −0.0657605 | + | 0.0316686i | ||||
\(255\) | 4.79970e9 | + | 4.45347e9i | 0.0710858 | + | 0.0659580i | ||||
\(256\) | −1.24260e10 | − | 5.44419e10i | −0.180822 | − | 0.792234i | ||||
\(257\) | 9.88122e10 | 1.41290 | 0.706450 | − | 0.707763i | \(-0.250295\pi\) | ||||
0.706450 | + | 0.707763i | \(0.250295\pi\) | |||||||
\(258\) | 2.60437e9 | + | 2.78605e9i | 0.0365944 | + | 0.0391471i | ||||
\(259\) | 6.03368e9 | 0.0833169 | ||||||||
\(260\) | 2.00870e10 | + | 8.80068e10i | 0.272605 | + | 1.19436i | ||||
\(261\) | −4.66529e10 | − | 4.32876e10i | −0.622295 | − | 0.577405i | ||||
\(262\) | 1.61062e10 | − | 7.75636e9i | 0.211173 | − | 0.101696i | ||||
\(263\) | −9.46708e10 | + | 1.42693e10i | −1.22016 | + | 0.183909i | −0.727372 | − | 0.686243i | \(-0.759259\pi\) |
−0.492783 | + | 0.870152i | \(0.664020\pi\) | |||||||
\(264\) | −5.47043e9 | + | 9.47507e9i | −0.0693113 | + | 0.120051i | ||||
\(265\) | −5.75263e10 | − | 9.96384e10i | −0.716572 | − | 1.24114i | ||||
\(266\) | −2.11834e8 | − | 2.65632e8i | −0.00259435 | − | 0.00325322i | ||||
\(267\) | −1.97022e9 | − | 2.62908e10i | −0.0237254 | − | 0.316594i | ||||
\(268\) | −2.99521e10 | − | 7.63167e10i | −0.354667 | − | 0.903676i | ||||
\(269\) | −1.31598e11 | − | 6.33742e10i | −1.53237 | − | 0.737951i | −0.537904 | − | 0.843006i | \(-0.680784\pi\) |
−0.994466 | + | 0.105055i | \(0.966498\pi\) | |||||||
\(270\) | −1.44002e10 | − | 4.44188e9i | −0.164904 | − | 0.0508662i | ||||
\(271\) | −4.56326e10 | + | 1.16270e11i | −0.513941 | + | 1.30950i | 0.404715 | + | 0.914443i | \(0.367371\pi\) |
−0.918656 | + | 0.395058i | \(0.870724\pi\) | |||||||
\(272\) | −9.01137e9 | + | 8.36133e9i | −0.0998230 | + | 0.0926222i | ||||
\(273\) | 4.73336e9 | + | 3.22715e9i | 0.0515748 | + | 0.0351631i | ||||
\(274\) | −6.29350e9 | + | 7.89180e9i | −0.0674551 | + | 0.0845861i | ||||
\(275\) | 2.48190e11 | + | 3.74086e10i | 2.61690 | + | 0.394434i | ||||
\(276\) | 3.26413e10 | − | 1.00685e10i | 0.338592 | − | 0.104442i | ||||
\(277\) | −1.41798e10 | + | 1.89216e11i | −0.144714 | + | 1.93107i | 0.176948 | + | 0.984220i | \(0.443377\pi\) |
−0.321662 | + | 0.946854i | \(0.604242\pi\) | |||||||
\(278\) | 1.04992e10 | − | 7.15822e9i | 0.105428 | − | 0.0718793i | ||||
\(279\) | 1.30695e10 | − | 5.72610e10i | 0.129133 | − | 0.565771i | ||||
\(280\) | 2.46805e9 | − | 1.08132e10i | 0.0239962 | − | 0.105134i | ||||
\(281\) | 1.94342e10 | − | 1.32500e10i | 0.185946 | − | 0.126776i | −0.466769 | − | 0.884379i | \(-0.654582\pi\) |
0.652715 | + | 0.757603i | \(0.273630\pi\) | |||||||
\(282\) | −2.11049e7 | + | 2.81625e8i | −0.000198729 | + | 0.00265186i | ||||
\(283\) | 5.99713e10 | − | 1.84987e10i | 0.555782 | − | 0.171436i | −0.00412478 | − | 0.999991i | \(-0.501313\pi\) |
0.559907 | + | 0.828555i | \(0.310837\pi\) | |||||||
\(284\) | 4.02317e10 | + | 6.06395e9i | 0.366974 | + | 0.0553124i | ||||
\(285\) | 6.19684e9 | − | 7.77060e9i | 0.0556376 | − | 0.0697674i | ||||
\(286\) | 1.21775e10 | + | 8.30250e9i | 0.107625 | + | 0.0733773i | ||||
\(287\) | −8.94989e9 | + | 8.30428e9i | −0.0778662 | + | 0.0722493i | ||||
\(288\) | 1.47410e10 | − | 3.75593e10i | 0.126258 | − | 0.321700i | ||||
\(289\) | −1.10954e11 | − | 3.42247e10i | −0.935625 | − | 0.288602i | ||||
\(290\) | −2.61523e10 | − | 1.25943e10i | −0.217130 | − | 0.104564i | ||||
\(291\) | −6.97961e9 | − | 1.77837e10i | −0.0570575 | − | 0.145380i | ||||
\(292\) | 5.93454e9 | + | 7.91910e10i | 0.0477710 | + | 0.637460i | ||||
\(293\) | 9.62456e10 | + | 1.20688e11i | 0.762915 | + | 0.956666i | 0.999890 | − | 0.0148503i | \(-0.00472716\pi\) |
−0.236974 | + | 0.971516i | \(0.576156\pi\) | |||||||
\(294\) | 3.25815e9 | + | 5.64328e9i | 0.0254336 | + | 0.0440523i | ||||
\(295\) | 1.71154e11 | − | 2.96447e11i | 1.31579 | − | 2.27902i | ||||
\(296\) | 1.32857e10 | − | 2.00250e9i | 0.100594 | − | 0.0151621i | ||||
\(297\) | 1.12687e11 | − | 5.42674e10i | 0.840371 | − | 0.404701i | ||||
\(298\) | −2.08802e10 | − | 1.93740e10i | −0.153377 | − | 0.142313i | ||||
\(299\) | −2.06803e10 | − | 9.06065e10i | −0.149636 | − | 0.655600i | ||||
\(300\) | 1.07565e11 | 0.766703 | ||||||||
\(301\) | 3.12571e10 | − | 7.25630e9i | 0.219482 | − | 0.0509526i | ||||
\(302\) | −9.49846e8 | −0.00657085 | ||||||||
\(303\) | 2.05799e10 | + | 9.01665e10i | 0.140266 | + | 0.614545i | ||||
\(304\) | 1.36789e10 | + | 1.26922e10i | 0.0918590 | + | 0.0852327i | ||||
\(305\) | 3.05462e11 | − | 1.47103e11i | 2.02119 | − | 0.973356i | ||||
\(306\) | −2.59052e9 | + | 3.90459e8i | −0.0168904 | + | 0.00254583i | ||||
\(307\) | −5.81579e10 | + | 1.00732e11i | −0.373668 | + | 0.647212i | −0.990127 | − | 0.140175i | \(-0.955233\pi\) |
0.616458 | + | 0.787387i | \(0.288567\pi\) | |||||||
\(308\) | 2.27894e10 | + | 3.94724e10i | 0.144296 | + | 0.249928i | ||||
\(309\) | 6.97723e10 | + | 8.74917e10i | 0.435382 | + | 0.545951i | ||||
\(310\) | −2.00188e9 | − | 2.67133e10i | −0.0123115 | − | 0.164286i | ||||
\(311\) | −9.02554e10 | − | 2.29967e11i | −0.547081 | − | 1.39394i | −0.890597 | − | 0.454792i | \(-0.849713\pi\) |
0.343517 | − | 0.939147i | \(-0.388382\pi\) | |||||||
\(312\) | 1.14936e10 | + | 5.53502e9i | 0.0686688 | + | 0.0330692i | ||||
\(313\) | −1.85139e11 | − | 5.71078e10i | −1.09031 | − | 0.336315i | −0.303071 | − | 0.952968i | \(-0.598012\pi\) |
−0.787235 | + | 0.616653i | \(0.788488\pi\) | |||||||
\(314\) | −1.05628e10 | + | 2.69136e10i | −0.0613191 | + | 0.156239i | ||||
\(315\) | −4.27363e10 | + | 3.96535e10i | −0.244568 | + | 0.226926i | ||||
\(316\) | −2.10177e11 | − | 1.43296e11i | −1.18575 | − | 0.808432i | ||||
\(317\) | −1.70100e11 | + | 2.13299e11i | −0.946103 | + | 1.18638i | 0.0362502 | + | 0.999343i | \(0.488459\pi\) |
−0.982354 | + | 0.187033i | \(0.940113\pi\) | |||||||
\(318\) | −7.96048e9 | − | 1.19985e9i | −0.0436533 | − | 0.00657968i | ||||
\(319\) | 2.30210e11 | − | 7.10104e10i | 1.24470 | − | 0.383940i | ||||
\(320\) | −2.16079e10 | + | 2.88338e11i | −0.115196 | + | 1.53719i | ||||
\(321\) | −1.64285e10 | + | 1.12008e10i | −0.0863627 | + | 0.0588811i | ||||
\(322\) | −1.25811e9 | + | 5.51212e9i | −0.00652177 | + | 0.0285737i | ||||
\(323\) | 8.36195e8 | − | 3.66361e9i | 0.00427461 | − | 0.0187283i | ||||
\(324\) | −9.25184e10 | + | 6.30780e10i | −0.466418 | + | 0.317999i | ||||
\(325\) | 2.18701e10 | − | 2.91836e11i | 0.108737 | − | 1.45099i | ||||
\(326\) | 3.64787e8 | − | 1.12522e8i | 0.00178879 | − | 0.000551770i | ||||
\(327\) | −9.56588e10 | − | 1.44182e10i | −0.462658 | − | 0.0697345i | ||||
\(328\) | −1.69509e10 | + | 2.12558e10i | −0.0808652 | + | 0.101402i | ||||
\(329\) | 1.96329e9 | + | 1.33855e9i | 0.00923853 | + | 0.00629873i | ||||
\(330\) | 1.92274e10 | − | 1.78405e10i | 0.0892501 | − | 0.0828120i | ||||
\(331\) | −7.90351e10 | + | 2.01378e11i | −0.361904 | + | 0.922118i | 0.627720 | + | 0.778439i | \(0.283988\pi\) |
−0.989624 | + | 0.143678i | \(0.954107\pi\) | |||||||
\(332\) | −1.10890e11 | − | 3.42051e10i | −0.500923 | − | 0.154514i | ||||
\(333\) | −6.36286e10 | − | 3.06419e10i | −0.283565 | − | 0.136558i | ||||
\(334\) | −2.25272e9 | − | 5.73985e9i | −0.00990487 | − | 0.0252372i | ||||
\(335\) | 2.96647e10 | + | 3.95848e11i | 0.128688 | + | 1.71722i | ||||
\(336\) | 1.19345e10 | + | 1.49653e10i | 0.0510830 | + | 0.0640560i | ||||
\(337\) | −2.02202e11 | − | 3.50224e11i | −0.853985 | − | 1.47915i | −0.877583 | − | 0.479424i | \(-0.840846\pi\) |
0.0235982 | − | 0.999722i | \(-0.492488\pi\) | |||||||
\(338\) | −8.07195e9 | + | 1.39810e10i | −0.0336398 | + | 0.0582658i | ||||
\(339\) | −3.77725e10 | + | 5.69329e9i | −0.155338 | + | 0.0234134i | ||||
\(340\) | 5.47245e10 | − | 2.63539e10i | 0.222089 | − | 0.106952i | ||||
\(341\) | 1.62981e11 | + | 1.51225e11i | 0.652745 | + | 0.605659i | ||||
\(342\) | 8.84909e8 | + | 3.87704e9i | 0.00349769 | + | 0.0153244i | ||||
\(343\) | 1.12586e11 | 0.439198 | ||||||||
\(344\) | 6.64176e10 | − | 2.63517e10i | 0.255723 | − | 0.101460i | ||||
\(345\) | −1.65394e11 | −0.628542 | ||||||||
\(346\) | 1.29691e10 | + | 5.68214e10i | 0.0486483 | + | 0.213142i | ||||
\(347\) | 1.75759e11 | + | 1.63080e11i | 0.650781 | + | 0.603836i | 0.934882 | − | 0.354958i | \(-0.115505\pi\) |
−0.284102 | + | 0.958794i | \(0.591695\pi\) | |||||||
\(348\) | 9.30210e10 | − | 4.47966e10i | 0.339997 | − | 0.163734i | ||||
\(349\) | −2.22692e11 | + | 3.35654e10i | −0.803506 | + | 0.121109i | −0.537940 | − | 0.842983i | \(-0.680797\pi\) |
−0.265567 | + | 0.964092i | \(0.585559\pi\) | |||||||
\(350\) | −8.90194e9 | + | 1.54186e10i | −0.0317087 | + | 0.0549211i | ||||
\(351\) | −7.29170e10 | − | 1.26296e11i | −0.256417 | − | 0.444127i | ||||
\(352\) | 9.52298e10 | + | 1.19414e11i | 0.330621 | + | 0.414586i | ||||
\(353\) | 1.89618e10 | + | 2.53027e11i | 0.0649969 | + | 0.867323i | 0.930470 | + | 0.366368i | \(0.119399\pi\) |
−0.865473 | + | 0.500955i | \(0.832982\pi\) | |||||||
\(354\) | −8.75057e9 | − | 2.22961e10i | −0.0296157 | − | 0.0754595i | ||||
\(355\) | −1.77489e11 | − | 8.54742e10i | −0.593122 | − | 0.285632i | ||||
\(356\) | −2.33709e11 | − | 7.20898e10i | −0.771172 | − | 0.237875i | ||||
\(357\) | 1.40829e9 | − | 3.58825e9i | 0.00458864 | − | 0.0116917i | ||||
\(358\) | −2.94321e9 | + | 2.73090e9i | −0.00946995 | + | 0.00878683i | ||||
\(359\) | 6.31229e10 | + | 4.30365e10i | 0.200568 | + | 0.136745i | 0.659439 | − | 0.751758i | \(-0.270794\pi\) |
−0.458871 | + | 0.888503i | \(0.651746\pi\) | |||||||
\(360\) | −8.09419e10 | + | 1.01498e11i | −0.253987 | + | 0.318490i | ||||
\(361\) | 3.13443e11 | + | 4.72439e10i | 0.971351 | + | 0.146408i | ||||
\(362\) | 5.90247e10 | − | 1.82067e10i | 0.180653 | − | 0.0557241i | ||||
\(363\) | −6.73055e9 | + | 8.98130e10i | −0.0203456 | + | 0.271493i | ||||
\(364\) | 4.39099e10 | − | 2.99372e10i | 0.131101 | − | 0.0893832i | ||||
\(365\) | 8.55615e10 | − | 3.74870e11i | 0.252325 | − | 1.10551i | ||||
\(366\) | 5.27885e9 | − | 2.31282e10i | 0.0153771 | − | 0.0673715i | ||||
\(367\) | −3.09608e11 | + | 2.11087e11i | −0.890872 | + | 0.607387i | −0.919883 | − | 0.392193i | \(-0.871717\pi\) |
0.0290107 | + | 0.999579i | \(0.490764\pi\) | |||||||
\(368\) | 2.32056e10 | − | 3.09657e11i | 0.0659595 | − | 0.880168i | ||||
\(369\) | 1.36555e11 | − | 4.21216e10i | 0.383432 | − | 0.118273i | ||||
\(370\) | −3.18508e10 | − | 4.80074e9i | −0.0883513 | − | 0.0133168i | ||||
\(371\) | −4.22317e10 | + | 5.29569e10i | −0.115733 | + | 0.145124i | ||||
\(372\) | 7.87263e10 | + | 5.36747e10i | 0.213146 | + | 0.145320i | ||||
\(373\) | −3.72719e11 | + | 3.45833e11i | −0.996992 | + | 0.925073i | −0.997189 | − | 0.0749266i | \(-0.976128\pi\) |
0.000197027 | 1.00000i | \(0.499937\pi\) | ||||||||
\(374\) | 3.62310e9 | − | 9.23152e9i | 0.00957543 | − | 0.0243978i | ||||
\(375\) | −2.52078e11 | − | 7.77558e10i | −0.658256 | − | 0.203045i | ||||
\(376\) | 4.76728e9 | + | 2.29580e9i | 0.0123006 | + | 0.00592364i | ||||
\(377\) | −1.02625e11 | − | 2.61484e11i | −0.261648 | − | 0.666667i | ||||
\(378\) | 6.63000e8 | + | 8.84712e9i | 0.00167032 | + | 0.0222889i | ||||
\(379\) | −1.33585e11 | − | 1.67510e11i | −0.332567 | − | 0.417026i | 0.587230 | − | 0.809420i | \(-0.300218\pi\) |
−0.919797 | + | 0.392394i | \(0.871647\pi\) | |||||||
\(380\) | −4.61003e10 | − | 7.98481e10i | −0.113417 | − | 0.196444i | ||||
\(381\) | −4.16931e10 | + | 7.22145e10i | −0.101368 | + | 0.175575i | ||||
\(382\) | −8.37891e10 | + | 1.26292e10i | −0.201327 | + | 0.0303452i | ||||
\(383\) | −7.07132e11 | + | 3.40537e11i | −1.67921 | + | 0.808667i | −0.682223 | + | 0.731144i | \(0.738987\pi\) |
−0.996991 | + | 0.0775223i | \(0.975299\pi\) | |||||||
\(384\) | 6.37582e10 | + | 5.91590e10i | 0.149639 | + | 0.138845i | ||||
\(385\) | −4.91077e10 | − | 2.15155e11i | −0.113914 | − | 0.499089i | ||||
\(386\) | 7.71093e10 | 0.176792 | ||||||||
\(387\) | −3.66474e11 | − | 8.22164e10i | −0.830509 | − | 0.186320i | ||||
\(388\) | −1.77225e11 | −0.396993 | ||||||||
\(389\) | 5.64556e10 | + | 2.47348e11i | 0.125007 | + | 0.547691i | 0.998181 | + | 0.0602830i | \(0.0192003\pi\) |
−0.873174 | + | 0.487408i | \(0.837943\pi\) | |||||||
\(390\) | −2.24190e10 | − | 2.08017e10i | −0.0490710 | − | 0.0455312i | ||||
\(391\) | −5.63411e10 | + | 2.71324e10i | −0.121907 | + | 0.0587075i | ||||
\(392\) | 1.20725e11 | − | 1.81963e10i | 0.258232 | − | 0.0389221i | ||||
\(393\) | 1.53936e11 | − | 2.66626e11i | 0.325518 | − | 0.563814i | ||||
\(394\) | 3.00335e10 | + | 5.20196e10i | 0.0627875 | + | 0.108751i | ||||
\(395\) | 7.67936e11 | + | 9.62962e11i | 1.58722 | + | 1.99032i | ||||
\(396\) | −3.98675e10 | − | 5.31995e11i | −0.0814686 | − | 1.08712i | ||||
\(397\) | 5.25577e10 | + | 1.33915e11i | 0.106189 | + | 0.270565i | 0.974086 | − | 0.226180i | \(-0.0726237\pi\) |
−0.867897 | + | 0.496745i | \(0.834528\pi\) | |||||||
\(398\) | 3.93510e10 | + | 1.89504e10i | 0.0786107 | + | 0.0378569i | ||||
\(399\) | −5.59137e9 | − | 1.72471e9i | −0.0110443 | − | 0.00340673i | ||||
\(400\) | 3.57243e11 | − | 9.10241e11i | 0.697740 | − | 1.77781i | ||||
\(401\) | −5.46567e11 | + | 5.07140e11i | −1.05559 | + | 0.979440i | −0.999819 | − | 0.0190035i | \(-0.993951\pi\) |
−0.0557663 | + | 0.998444i | \(0.517760\pi\) | |||||||
\(402\) | 2.29494e10 | + | 1.56466e10i | 0.0438282 | + | 0.0298816i | ||||
\(403\) | 1.61632e11 | − | 2.02680e11i | 0.305249 | − | 0.382770i | ||||
\(404\) | 8.48375e11 | + | 1.27872e11i | 1.58442 | + | 0.238814i | ||||
\(405\) | 5.18086e11 | − | 1.59808e11i | 0.956873 | − | 0.295156i | ||||
\(406\) | −1.27705e9 | + | 1.70411e10i | −0.00233261 | + | 0.0311265i | ||||
\(407\) | 2.20884e11 | − | 1.50596e11i | 0.399015 | − | 0.272044i | ||||
\(408\) | 1.91005e9 | − | 8.36848e9i | 0.00341251 | − | 0.0149512i | ||||
\(409\) | 7.01616e10 | − | 3.07398e11i | 0.123978 | − | 0.543183i | −0.874346 | − | 0.485304i | \(-0.838709\pi\) |
0.998324 | − | 0.0578795i | \(-0.0184339\pi\) | |||||||
\(410\) | 5.38524e10 | − | 3.67160e10i | 0.0941191 | − | 0.0641693i | ||||
\(411\) | −1.29911e10 | + | 1.73354e11i | −0.0224573 | + | 0.299672i | ||||
\(412\) | 9.91997e11 | − | 3.05991e11i | 1.69618 | − | 0.523204i | ||||
\(413\) | −1.99274e11 | − | 3.00358e10i | −0.337036 | − | 0.0508000i | ||||
\(414\) | 4.12606e10 | − | 5.17392e10i | 0.0690294 | − | 0.0865601i | ||||
\(415\) | 4.64248e11 | + | 3.16519e11i | 0.768305 | + | 0.523822i | ||||
\(416\) | 1.30549e11 | − | 1.21131e11i | 0.213723 | − | 0.198306i | ||||
\(417\) | 7.99531e10 | − | 2.03717e11i | 0.129486 | − | 0.329925i | ||||
\(418\) | −1.43849e10 | − | 4.43716e9i | −0.0230470 | − | 0.00710906i | ||||
\(419\) | 6.94433e11 | + | 3.34421e11i | 1.10070 | + | 0.530067i | 0.893877 | − | 0.448313i | \(-0.147975\pi\) |
0.206818 | + | 0.978379i | \(0.433689\pi\) | |||||||
\(420\) | −3.45532e10 | − | 8.80401e10i | −0.0541834 | − | 0.138057i | ||||
\(421\) | −3.11140e9 | − | 4.15187e10i | −0.00482710 | − | 0.0644132i | 0.994270 | − | 0.106898i | \(-0.0340917\pi\) |
−0.999097 | + | 0.0424845i | \(0.986473\pi\) | |||||||
\(422\) | 3.17445e10 | + | 3.98064e10i | 0.0487263 | + | 0.0611008i | ||||
\(423\) | −1.39062e10 | − | 2.40863e10i | −0.0211192 | − | 0.0365795i | ||||
\(424\) | −7.54156e10 | + | 1.30624e11i | −0.113322 | + | 0.196280i | ||||
\(425\) | −1.94718e11 | + | 2.93490e10i | −0.289505 | + | 0.0436358i | ||||
\(426\) | −1.24192e10 | + | 5.98076e9i | −0.0182705 | + | 0.00879859i | ||||
\(427\) | −1.46317e11 | − | 1.35762e11i | −0.212995 | − | 0.197631i | ||||
\(428\) | 4.10447e10 | + | 1.79829e11i | 0.0591235 | + | 0.259037i | ||||
\(429\) | 2.53829e11 | 0.361812 | ||||||||
\(430\) | −1.70775e11 | + | 1.34350e10i | −0.240888 | + | 0.0189508i | ||||
\(431\) | −5.11581e10 | −0.0714113 | −0.0357056 | − | 0.999362i | \(-0.511368\pi\) | ||||
−0.0357056 | + | 0.999362i | \(0.511368\pi\) | |||||||
\(432\) | −1.08428e11 | − | 4.75052e11i | −0.149783 | − | 0.656243i | ||||
\(433\) | −3.00134e11 | − | 2.78483e11i | −0.410317 | − | 0.380718i | 0.447834 | − | 0.894117i | \(-0.352196\pi\) |
−0.858150 | + | 0.513399i | \(0.828386\pi\) | |||||||
\(434\) | −1.42091e10 | + | 6.84273e9i | −0.0192248 | + | 0.00925818i | ||||
\(435\) | −4.94321e11 | + | 7.45069e10i | −0.661923 | + | 0.0997689i | ||||
\(436\) | −4.48710e11 | + | 7.77189e11i | −0.594671 | + | 1.03000i | ||||
\(437\) | 4.74621e10 | + | 8.22068e10i | 0.0622559 | + | 0.107830i | ||||
\(438\) | −1.67748e10 | − | 2.10350e10i | −0.0217783 | − | 0.0273092i | ||||
\(439\) | 3.13962e10 | + | 4.18953e11i | 0.0403448 | + | 0.538363i | 0.980358 | + | 0.197226i | \(0.0631932\pi\) |
−0.940013 | + | 0.341138i | \(0.889188\pi\) | |||||||
\(440\) | −1.79539e11 | − | 4.57458e11i | −0.228361 | − | 0.581854i | ||||
\(441\) | −5.78180e11 | − | 2.78437e11i | −0.727929 | − | 0.350552i | ||||
\(442\) | −1.10494e10 | − | 3.40830e9i | −0.0137702 | − | 0.00424754i | ||||
\(443\) | −3.12466e10 | + | 7.96150e10i | −0.0385466 | + | 0.0982151i | −0.948851 | − | 0.315725i | \(-0.897752\pi\) |
0.910304 | + | 0.413940i | \(0.135848\pi\) | |||||||
\(444\) | 8.39855e10 | − | 7.79272e10i | 0.102561 | − | 0.0951624i | ||||
\(445\) | 9.78439e11 | + | 6.67088e11i | 1.18281 | + | 0.806424i | ||||
\(446\) | −1.29296e11 | + | 1.62132e11i | −0.154731 | + | 0.194027i | ||||
\(447\) | −4.85075e11 | − | 7.31133e10i | −0.574679 | − | 0.0866189i | ||||
\(448\) | 1.62665e11 | − | 5.01755e10i | 0.190784 | − | 0.0588492i | ||||
\(449\) | 1.16111e11 | − | 1.54939e12i | 0.134823 | − | 1.79908i | −0.362982 | − | 0.931796i | \(-0.618241\pi\) |
0.497805 | − | 0.867289i | \(-0.334139\pi\) | |||||||
\(450\) | 1.72179e11 | − | 1.17390e11i | 0.197936 | − | 0.134950i | ||||
\(451\) | −1.20373e11 | + | 5.27391e11i | −0.137005 | + | 0.600258i | ||||
\(452\) | −7.88529e10 | + | 3.45477e11i | −0.0888576 | + | 0.389311i | ||||
\(453\) | −1.35159e10 | + | 9.21500e9i | −0.0150801 | + | 0.0102814i | ||||
\(454\) | 1.41157e10 | − | 1.88361e11i | 0.0155938 | − | 0.208084i | ||||
\(455\) | −2.45887e11 | + | 7.58462e10i | −0.268958 | + | 0.0829627i | ||||
\(456\) | −1.28842e10 | − | 1.94198e9i | −0.0139546 | − | 0.00210331i | ||||
\(457\) | 9.89480e11 | − | 1.24077e12i | 1.06117 | − | 1.33066i | 0.119980 | − | 0.992776i | \(-0.461717\pi\) |
0.941187 | − | 0.337886i | \(-0.109712\pi\) | |||||||
\(458\) | −9.33499e10 | − | 6.36449e10i | −0.0991332 | − | 0.0675879i | ||||
\(459\) | −7.19320e10 | + | 6.67431e10i | −0.0756423 | + | 0.0701858i | ||||
\(460\) | −5.60546e11 | + | 1.42825e12i | −0.583715 | + | 1.48728i | ||||
\(461\) | −7.39271e11 | − | 2.28035e11i | −0.762342 | − | 0.235151i | −0.110881 | − | 0.993834i | \(-0.535367\pi\) |
−0.651461 | + | 0.758682i | \(0.725843\pi\) | |||||||
\(462\) | −1.39126e10 | − | 6.69997e9i | −0.0142076 | − | 0.00684202i | ||||
\(463\) | 4.16111e11 | + | 1.06023e12i | 0.420819 | + | 1.07223i | 0.971400 | + | 0.237447i | \(0.0763106\pi\) |
−0.550582 | + | 0.834781i | \(0.685594\pi\) | |||||||
\(464\) | −7.01390e10 | − | 9.35940e11i | −0.0702471 | − | 0.937383i | ||||
\(465\) | −2.87647e11 | − | 3.60698e11i | −0.285313 | − | 0.357771i | ||||
\(466\) | 9.30198e10 | + | 1.61115e11i | 0.0913774 | + | 0.158270i | ||||
\(467\) | 5.02636e10 | − | 8.70590e10i | 0.0489021 | − | 0.0847009i | −0.840538 | − | 0.541752i | \(-0.817761\pi\) |
0.889440 | + | 0.457051i | \(0.151094\pi\) | |||||||
\(468\) | −6.15090e11 | + | 9.27100e10i | −0.592697 | + | 0.0893347i | ||||
\(469\) | 2.10556e11 | − | 1.01398e11i | 0.200951 | − | 0.0967728i | ||||
\(470\) | −9.29888e9 | − | 8.62810e9i | −0.00879002 | − | 0.00815595i | ||||
\(471\) | 1.10800e11 | + | 4.85445e11i | 0.103740 | + | 0.454513i | ||||
\(472\) | −4.48757e11 | −0.416172 | ||||||||
\(473\) | 9.63163e11 | − | 1.04580e12i | 0.884758 | − | 0.960665i | ||||
\(474\) | 8.61821e10 | 0.0784177 | ||||||||
\(475\) | 6.65146e10 | + | 2.91419e11i | 0.0599509 | + | 0.262662i | ||||
\(476\) | −2.62132e10 | − | 2.43223e10i | −0.0234039 | − | 0.0217157i | ||||
\(477\) | 7.14298e11 | − | 3.43988e11i | 0.631752 | − | 0.304236i | ||||
\(478\) | 2.44977e11 | − | 3.69243e10i | 0.214635 | − | 0.0323510i | ||||
\(479\) | −2.16616e11 | + | 3.75190e11i | −0.188010 | + | 0.325643i | −0.944587 | − | 0.328262i | \(-0.893537\pi\) |
0.756577 | + | 0.653905i | \(0.226870\pi\) | |||||||
\(480\) | −1.58468e11 | − | 2.74474e11i | −0.136256 | − | 0.236002i | ||||
\(481\) | −1.94349e11 | − | 2.43706e11i | −0.165550 | − | 0.207593i | ||||
\(482\) | 9.04484e9 | + | 1.20695e11i | 0.00763290 | + | 0.101854i | ||||
\(483\) | 3.55739e10 | + | 9.06408e10i | 0.0297419 | + | 0.0757812i | ||||
\(484\) | 7.52762e11 | + | 3.62511e11i | 0.623525 | + | 0.300274i | ||||
\(485\) | 8.19983e11 | + | 2.52931e11i | 0.672926 | + | 0.207570i | ||||
\(486\) | 5.84326e10 | − | 1.48884e11i | 0.0475107 | − | 0.121055i | ||||
\(487\) | 5.27543e11 | − | 4.89488e11i | 0.424989 | − | 0.394332i | −0.438475 | − | 0.898744i | \(-0.644481\pi\) |
0.863463 | + | 0.504412i | \(0.168291\pi\) | |||||||
\(488\) | −3.67238e11 | − | 2.50379e11i | −0.293129 | − | 0.199852i | ||||
\(489\) | 4.09913e9 | − | 5.14015e9i | 0.00324192 | − | 0.00406524i | ||||
\(490\) | −2.89422e11 | − | 4.36233e10i | −0.226803 | − | 0.0341851i | ||||
\(491\) | −1.46441e12 | + | 4.51711e11i | −1.13709 | + | 0.350747i | −0.805453 | − | 0.592659i | \(-0.798078\pi\) |
−0.331640 | + | 0.943406i | \(0.607602\pi\) | |||||||
\(492\) | −1.73247e10 | + | 2.31182e11i | −0.0133298 | + | 0.177874i | ||||
\(493\) | −1.56167e11 | + | 1.06473e11i | −0.119063 | + | 0.0811758i | ||||
\(494\) | −3.90579e9 | + | 1.71124e10i | −0.00295078 | + | 0.0129282i | ||||
\(495\) | −5.74791e11 | + | 2.51832e12i | −0.430315 | + | 1.88533i | ||||
\(496\) | 7.15669e11 | − | 4.87935e11i | 0.530939 | − | 0.361988i | ||||
\(497\) | −8.66703e9 | + | 1.15653e11i | −0.00637187 | + | 0.0850266i | ||||
\(498\) | 3.75690e10 | − | 1.15885e10i | 0.0273714 | − | 0.00844297i | ||||
\(499\) | −1.50072e12 | − | 2.26197e11i | −1.08354 | − | 0.163318i | −0.417090 | − | 0.908865i | \(-0.636950\pi\) |
−0.666453 | + | 0.745547i | \(0.732188\pi\) | |||||||
\(500\) | −1.52579e12 | + | 1.91328e12i | −1.09176 | + | 1.36903i | ||||
\(501\) | −8.77409e10 | − | 5.98207e10i | −0.0622203 | − | 0.0424211i | ||||
\(502\) | −8.93882e10 | + | 8.29401e10i | −0.0628223 | + | 0.0582905i | ||||
\(503\) | −1.43790e11 | + | 3.66370e11i | −0.100155 | + | 0.255190i | −0.972165 | − | 0.234297i | \(-0.924721\pi\) |
0.872010 | + | 0.489488i | \(0.162816\pi\) | |||||||
\(504\) | 7.30333e10 | + | 2.25278e10i | 0.0504177 | + | 0.0155518i | ||||
\(505\) | −3.74275e12 | − | 1.80242e12i | −2.56083 | − | 1.23323i | ||||
\(506\) | 9.15211e10 | + | 2.33192e11i | 0.0620646 | + | 0.158138i | ||||
\(507\) | 2.07774e10 | + | 2.77255e11i | 0.0139654 | + | 0.186356i | ||||
\(508\) | 4.82299e11 | + | 6.04784e11i | 0.321314 | + | 0.402915i | ||||
\(509\) | 5.99941e11 | + | 1.03913e12i | 0.396167 | + | 0.686181i | 0.993249 | − | 0.115999i | \(-0.0370068\pi\) |
−0.597082 | + | 0.802180i | \(0.703673\pi\) | |||||||
\(510\) | −1.02891e10 | + | 1.78213e10i | −0.00673462 | + | 0.0116647i | ||||
\(511\) | −2.23843e11 | + | 3.37388e10i | −0.145227 | + | 0.0218895i | ||||
\(512\) | 8.99375e11 | − | 4.33116e11i | 0.578397 | − | 0.278541i | ||||
\(513\) | 1.09190e11 | + | 1.01314e11i | 0.0696075 | + | 0.0645863i | ||||
\(514\) | 6.91053e10 | + | 3.02770e11i | 0.0436694 | + | 0.191328i | ||||
\(515\) | −5.02646e12 | −3.14869 | ||||||||
\(516\) | 3.41364e11 | − | 5.04700e11i | 0.211979 | − | 0.313408i | ||||
\(517\) | 1.05282e11 | 0.0648110 | ||||||||
\(518\) | 4.21971e9 | + | 1.84878e10i | 0.00257513 | + | 0.0112824i | ||||
\(519\) | 7.35802e11 | + | 6.82724e11i | 0.445151 | + | 0.413040i | ||||
\(520\) | −5.16255e11 | + | 2.48615e11i | −0.309634 | + | 0.149112i | ||||
\(521\) | 7.34143e11 | − | 1.10654e11i | 0.436527 | − | 0.0657958i | 0.0728972 | − | 0.997339i | \(-0.476776\pi\) |
0.363630 | + | 0.931544i | \(0.381537\pi\) | |||||||
\(522\) | 1.00010e11 | − | 1.73222e11i | 0.0589558 | − | 0.102114i | ||||
\(523\) | −4.03677e11 | − | 6.99190e11i | −0.235927 | − | 0.408637i | 0.723615 | − | 0.690204i | \(-0.242479\pi\) |
−0.959542 | + | 0.281567i | \(0.909146\pi\) | |||||||
\(524\) | −1.78071e12 | − | 2.23294e12i | −1.03182 | − | 1.29386i | ||||
\(525\) | 2.29138e10 | + | 3.05763e11i | 0.0131638 | + | 0.175658i | ||||
\(526\) | −1.09931e11 | − | 2.80101e11i | −0.0626161 | − | 0.159543i | ||||
\(527\) | −1.57158e11 | − | 7.56831e10i | −0.0887539 | − | 0.0427416i | ||||
\(528\) | 8.10428e11 | + | 2.49984e11i | 0.453797 | + | 0.139978i | ||||
\(529\) | −8.09304e10 | + | 2.06207e11i | −0.0449325 | + | 0.114486i | ||||
\(530\) | 2.65070e11 | − | 2.45949e11i | 0.145921 | − | 0.135395i | ||||
\(531\) | 1.94893e12 | + | 1.32876e12i | 1.06383 | + | 0.725304i | ||||
\(532\) | −3.38436e10 | + | 4.24385e10i | −0.0183178 | + | 0.0229698i | ||||
\(533\) | 6.23700e11 | + | 9.40076e10i | 0.334737 | + | 0.0504534i | ||||
\(534\) | 7.91795e10 | − | 2.44237e10i | 0.0421383 | − | 0.0129980i | ||||
\(535\) | 6.67417e10 | − | 8.90606e11i | 0.0352213 | − | 0.469996i | ||||
\(536\) | 4.29977e11 | − | 2.93153e11i | 0.225011 | − | 0.153410i | ||||
\(537\) | −1.53867e10 | + | 6.74133e10i | −0.00798472 | + | 0.0349834i | ||||
\(538\) | 1.02150e11 | − | 4.47550e11i | 0.0525678 | − | 0.230315i | ||||
\(539\) | 2.00713e12 | − | 1.36844e12i | 1.02430 | − | 0.698354i | ||||
\(540\) | −1.79920e11 | + | 2.40087e12i | −0.0910560 | + | 1.21506i | ||||
\(541\) | 1.06083e12 | − | 3.27222e11i | 0.532424 | − | 0.164231i | −0.0168741 | − | 0.999858i | \(-0.505371\pi\) |
0.549298 | + | 0.835627i | \(0.314895\pi\) | |||||||
\(542\) | −3.88176e11 | − | 5.85081e10i | −0.193211 | − | 0.0291219i | ||||
\(543\) | 6.63264e11 | − | 8.31706e11i | 0.327406 | − | 0.410554i | ||||
\(544\) | −9.90082e10 | − | 6.75027e10i | −0.0484704 | − | 0.0330465i | ||||
\(545\) | 3.18527e12 | − | 2.95550e12i | 1.54654 | − | 1.43498i | ||||
\(546\) | −6.57797e9 | + | 1.67604e10i | −0.00316756 | + | 0.00807082i | ||||
\(547\) | 3.70146e12 | + | 1.14175e12i | 1.76779 | + | 0.545290i | 0.995899 | − | 0.0904709i | \(-0.0288372\pi\) |
0.771886 | + | 0.635761i | \(0.219313\pi\) | |||||||
\(548\) | 1.45296e12 | + | 6.99707e11i | 0.688240 | + | 0.331439i | ||||
\(549\) | 8.53531e11 | + | 2.17476e12i | 0.400999 | + | 1.02173i | ||||
\(550\) | 5.89504e10 | + | 7.86639e11i | 0.0274698 | + | 0.366559i | ||||
\(551\) | 1.78885e11 | + | 2.24315e11i | 0.0826783 | + | 0.103675i | ||||
\(552\) | 1.08414e11 | + | 1.87778e11i | 0.0497003 | + | 0.0860834i | ||||
\(553\) | 3.62559e11 | − | 6.27971e11i | 0.164860 | − | 0.285546i | ||||
\(554\) | −5.89693e11 | + | 8.88819e10i | −0.265970 | + | 0.0400885i | ||||
\(555\) | −4.99799e11 | + | 2.40691e11i | −0.223603 | + | 0.107681i | ||||
\(556\) | −1.48821e12 | − | 1.38086e12i | −0.660432 | − | 0.612791i | ||||
\(557\) | −4.32554e11 | − | 1.89514e12i | −0.190411 | − | 0.834244i | −0.976394 | − | 0.215996i | \(-0.930700\pi\) |
0.785983 | − | 0.618248i | \(-0.212157\pi\) | |||||||
\(558\) | 1.84594e11 | 0.0806051 | ||||||||
\(559\) | −1.29990e12 | − | 1.02877e12i | −0.563063 | − | 0.445621i | ||||
\(560\) | −8.59770e11 | −0.369433 | ||||||||
\(561\) | −3.80049e10 | − | 1.66510e11i | −0.0161997 | − | 0.0709755i | ||||
\(562\) | 5.41907e10 | + | 5.02816e10i | 0.0229145 | + | 0.0212616i | ||||
\(563\) | −2.06319e11 | + | 9.93581e10i | −0.0865470 | + | 0.0416788i | −0.476656 | − | 0.879090i | \(-0.658151\pi\) |
0.390110 | + | 0.920768i | \(0.372437\pi\) | |||||||
\(564\) | 4.46158e10 | − | 6.72475e9i | 0.0185666 | − | 0.00279847i | ||||
\(565\) | 8.57892e11 | − | 1.48591e12i | 0.354172 | − | 0.613444i | ||||
\(566\) | 9.86233e10 | + | 1.70821e11i | 0.0403930 | + | 0.0699627i | ||||
\(567\) | −1.99013e11 | − | 2.49554e11i | −0.0808643 | − | 0.101401i | ||||
\(568\) | 1.92998e10 | + | 2.57537e11i | 0.00778009 | + | 0.103818i | ||||
\(569\) | 1.98030e11 | + | 5.04572e11i | 0.0792000 | + | 0.201798i | 0.964989 | − | 0.262289i | \(-0.0844775\pi\) |
−0.885789 | + | 0.464088i | \(0.846382\pi\) | |||||||
\(570\) | 2.81437e10 | + | 1.35533e10i | 0.0111672 | + | 0.00537783i | ||||
\(571\) | 2.46934e12 | + | 7.61691e11i | 0.972118 | + | 0.299859i | 0.739834 | − | 0.672789i | \(-0.234904\pi\) |
0.232284 | + | 0.972648i | \(0.425380\pi\) | |||||||
\(572\) | 8.60265e11 | − | 2.19192e12i | 0.336008 | − | 0.856135i | ||||
\(573\) | −1.06976e12 | + | 9.92594e11i | −0.414564 | + | 0.384659i | ||||
\(574\) | −3.17043e10 | − | 2.16156e10i | −0.0121903 | − | 0.00831121i | ||||
\(575\) | 3.10137e12 | − | 3.88900e12i | 1.18317 | − | 1.48365i | ||||
\(576\) | −1.97021e12 | − | 2.96961e11i | −0.745781 | − | 0.112408i | ||||
\(577\) | −1.94272e12 | + | 5.99249e11i | −0.729657 | + | 0.225069i | −0.637256 | − | 0.770652i | \(-0.719930\pi\) |
−0.0924014 | + | 0.995722i | \(0.529454\pi\) | |||||||
\(578\) | 2.72712e10 | − | 3.63908e11i | 0.0101631 | − | 0.135618i | ||||
\(579\) | 1.09723e12 | − | 7.48081e11i | 0.405738 | − | 0.276627i | ||||
\(580\) | −1.03193e12 | + | 4.52119e12i | −0.378639 | + | 1.65892i | ||||
\(581\) | 7.36086e10 | − | 3.22500e11i | 0.0268001 | − | 0.117419i | ||||
\(582\) | 4.96098e10 | − | 3.38234e10i | 0.0179231 | − | 0.0122198i | ||||
\(583\) | −2.24275e11 | + | 2.99275e12i | −0.0804032 | + | 1.07291i | ||||
\(584\) | −4.81688e11 | + | 1.48581e11i | −0.171360 | + | 0.0528574i | ||||
\(585\) | 2.97821e12 | + | 4.48892e11i | 1.05136 | + | 0.158468i | ||||
\(586\) | −3.02490e11 | + | 3.79310e11i | −0.105967 | + | 0.132879i | ||||
\(587\) | −3.93393e12 | − | 2.68211e12i | −1.36759 | − | 0.932405i | −0.999997 | − | 0.00241760i | \(-0.999230\pi\) |
−0.367590 | − | 0.929988i | \(-0.619817\pi\) | |||||||
\(588\) | 7.63159e11 | − | 7.08108e11i | 0.263280 | − | 0.244288i | ||||
\(589\) | −9.67355e10 | + | 2.46478e11i | −0.0331182 | + | 0.0843838i | ||||
\(590\) | 1.02804e12 | + | 3.17108e11i | 0.349282 | + | 0.107739i | ||||
\(591\) | 9.32036e11 | + | 4.48845e11i | 0.314260 | + | 0.151340i | ||||
\(592\) | −3.80505e11 | − | 9.69512e11i | −0.127325 | − | 0.324418i | ||||
\(593\) | −2.71887e11 | − | 3.62808e12i | −0.0902905 | − | 1.20484i | −0.839817 | − | 0.542869i | \(-0.817338\pi\) |
0.749527 | − | 0.661974i | \(-0.230281\pi\) | |||||||
\(594\) | 2.45089e11 | + | 3.07332e11i | 0.0807766 | + | 0.101291i | ||||
\(595\) | 8.65707e10 | + | 1.49945e11i | 0.0283168 | + | 0.0490462i | ||||
\(596\) | −2.27536e12 | + | 3.94104e12i | −0.738655 | + | 1.27939i | ||||
\(597\) | 7.43797e11 | − | 1.12109e11i | 0.239646 | − | 0.0361208i | ||||
\(598\) | 2.63164e11 | − | 1.26733e11i | 0.0841533 | − | 0.0405261i | ||||
\(599\) | 6.51848e11 | + | 6.04826e11i | 0.206883 | + | 0.191960i | 0.776808 | − | 0.629737i | \(-0.216837\pi\) |
−0.569925 | + | 0.821697i | \(0.693028\pi\) | |||||||
\(600\) | 1.51934e11 | + | 6.65665e11i | 0.0478601 | + | 0.209689i | ||||
\(601\) | −2.10278e12 | −0.657444 | −0.328722 | − | 0.944427i | \(-0.606618\pi\) | ||||
−0.328722 | + | 0.944427i | \(0.606618\pi\) | |||||||
\(602\) | 4.40939e10 | + | 9.06998e10i | 0.0136834 | + | 0.0281464i | ||||
\(603\) | −2.73538e12 | −0.842539 | ||||||||
\(604\) | 3.37679e10 | + | 1.47947e11i | 0.0103237 | + | 0.0452313i | ||||
\(605\) | −2.96551e12 | − | 2.75159e12i | −0.899911 | − | 0.834995i | ||||
\(606\) | −2.61886e11 | + | 1.26118e11i | −0.0788834 | + | 0.0379882i | ||||
\(607\) | 4.34745e12 | − | 6.55273e11i | 1.29983 | − | 0.195917i | 0.537585 | − | 0.843210i | \(-0.319337\pi\) |
0.762242 | + | 0.647292i | \(0.224099\pi\) | |||||||
\(608\) | −9.09490e10 | + | 1.57528e11i | −0.0269918 | + | 0.0467511i | ||||
\(609\) | 1.47153e11 | + | 2.54877e11i | 0.0433503 | + | 0.0750850i | ||||
\(610\) | 6.64365e11 | + | 8.33087e11i | 0.194277 | + | 0.243616i | ||||
\(611\) | −9.17371e9 | − | 1.22415e11i | −0.00266293 | − | 0.0355343i | ||||
\(612\) | 1.52913e11 | + | 3.89615e11i | 0.0440618 | + | 0.112268i | ||||
\(613\) | 5.24111e12 | + | 2.52398e12i | 1.49917 | + | 0.721962i | 0.990308 | − | 0.138886i | \(-0.0443521\pi\) |
0.508862 | + | 0.860848i | \(0.330066\pi\) | |||||||
\(614\) | −3.49327e11 | − | 1.07753e11i | −0.0991916 | − | 0.0305965i | ||||
\(615\) | 4.10096e11 | − | 1.04491e12i | 0.115597 | − | 0.294537i | ||||
\(616\) | −2.12084e11 | + | 1.96785e11i | −0.0593465 | + | 0.0550655i | ||||
\(617\) | 3.27940e12 | + | 2.23586e12i | 0.910984 | + | 0.621099i | 0.925480 | − | 0.378796i | \(-0.123662\pi\) |
−0.0144957 | + | 0.999895i | \(0.504614\pi\) | |||||||
\(618\) | −2.19287e11 | + | 2.74977e11i | −0.0604735 | + | 0.0758313i | ||||
\(619\) | −1.21939e11 | − | 1.83793e10i | −0.0333836 | − | 0.00503177i | 0.132329 | − | 0.991206i | \(-0.457754\pi\) |
−0.165713 | + | 0.986174i | \(0.552992\pi\) | |||||||
\(620\) | −4.08965e12 | + | 1.26149e12i | −1.11154 | + | 0.342864i | ||||
\(621\) | 1.85235e11 | − | 2.47179e12i | 0.0499817 | − | 0.666960i | ||||
\(622\) | 6.41520e11 | − | 4.37381e11i | 0.171851 | − | 0.117166i | ||||
\(623\) | 1.55136e11 | − | 6.79694e11i | 0.0412587 | − | 0.180766i | ||||
\(624\) | 2.20047e11 | − | 9.64088e11i | 0.0581011 | − | 0.254558i | ||||
\(625\) | 3.40329e12 | − | 2.32032e12i | 0.892151 | − | 0.608258i | ||||
\(626\) | 4.55050e10 | − | 6.07222e11i | 0.0118434 | − | 0.158039i | ||||
\(627\) | −2.47739e11 | + | 7.64174e10i | −0.0640163 | + | 0.0197464i | ||||
\(628\) | 4.56754e12 | + | 6.88446e11i | 1.17183 | + | 0.176625i | ||||
\(629\) | −1.30771e11 | + | 1.63981e11i | −0.0333106 | + | 0.0417702i | ||||
\(630\) | −1.51390e11 | − | 1.03216e11i | −0.0382882 | − | 0.0261045i | ||||
\(631\) | −3.03904e12 | + | 2.81982e12i | −0.763140 | + | 0.708090i | −0.962334 | − | 0.271870i | \(-0.912358\pi\) |
0.199194 | + | 0.979960i | \(0.436168\pi\) | |||||||
\(632\) | 5.89914e11 | − | 1.50308e12i | 0.147083 | − | 0.374761i | ||||
\(633\) | 8.37896e11 | + | 2.58457e11i | 0.207431 | + | 0.0639840i | ||||
\(634\) | −7.72530e11 | − | 3.72031e11i | −0.189895 | − | 0.0914487i | ||||
\(635\) | −1.36836e12 | − | 3.48653e12i | −0.333979 | − | 0.850965i | ||||
\(636\) | 9.61153e10 | + | 1.28257e12i | 0.0232935 | + | 0.310831i | ||||
\(637\) | −1.76601e12 | − | 2.21450e12i | −0.424977 | − | 0.532904i | ||||
\(638\) | 3.78582e11 | + | 6.55724e11i | 0.0904622 | + | 0.156685i | ||||
\(639\) | 6.78743e11 | − | 1.17562e12i | 0.161046 | − | 0.278941i | ||||
\(640\) | −3.86307e12 | + | 5.82264e11i | −0.910169 | + | 0.137186i | ||||
\(641\) | −6.26344e12 | + | 3.01632e12i | −1.46539 | + | 0.705693i | −0.985190 | − | 0.171468i | \(-0.945149\pi\) |
−0.480196 | + | 0.877161i | \(0.659435\pi\) | |||||||
\(642\) | −4.58097e10 | − | 4.25052e10i | −0.0106427 | − | 0.00987494i | ||||
\(643\) | 1.14099e11 | + | 4.99901e11i | 0.0263229 | + | 0.115328i | 0.986383 | − | 0.164467i | \(-0.0525905\pi\) |
−0.960060 | + | 0.279795i | \(0.909733\pi\) | |||||||
\(644\) | 9.03287e11 | 0.206938 | ||||||||
\(645\) | −2.29971e12 | + | 1.84796e12i | −0.523184 | + | 0.420410i | ||||
\(646\) | 1.18104e10 | 0.00266821 | ||||||||
\(647\) | −3.15102e7 | − | 1.38055e8i | −7.06939e−6 | − | 3.09730e-5i | 0.974924 | − | 0.222536i | \(-0.0714336\pi\) |
−0.974931 | + | 0.222505i | \(0.928576\pi\) | |||||||
\(648\) | −5.21036e11 | − | 4.83451e11i | −0.116086 | − | 0.107712i | ||||
\(649\) | −8.04482e12 | + | 3.87418e12i | −1.77998 | + | 0.857193i | ||||
\(650\) | 9.09510e11 | − | 1.37087e11i | 0.199847 | − | 0.0301221i | ||||
\(651\) | −1.35804e11 | + | 2.35220e11i | −0.0296346 | + | 0.0513286i | ||||
\(652\) | −3.04948e10 | − | 5.28185e10i | −0.00660862 | − | 0.0114465i | ||||
\(653\) | −4.60529e12 | − | 5.77485e12i | −0.991169 | − | 1.24289i | −0.969999 | − | 0.243110i | \(-0.921832\pi\) |
−0.0211700 | − | 0.999776i | \(-0.506739\pi\) | |||||||
\(654\) | −2.27210e10 | − | 3.03191e11i | −0.00485655 | − | 0.0648062i | ||||
\(655\) | 5.05218e12 | + | 1.28727e13i | 1.07249 | + | 2.73266i | ||||
\(656\) | 1.89877e12 | + | 9.14401e11i | 0.400319 | + | 0.192783i | ||||
\(657\) | 2.53189e12 | + | 7.80985e11i | 0.530152 | + | 0.163530i | ||||
\(658\) | −2.72839e9 | + | 6.95184e9i | −0.000567402 | + | 0.00144572i | ||||
\(659\) | −4.39210e12 | + | 4.07527e12i | −0.907167 | + | 0.841728i | −0.987913 | − | 0.155006i | \(-0.950460\pi\) |
0.0807461 | + | 0.996735i | \(0.474270\pi\) | |||||||
\(660\) | −3.46236e12 | − | 2.36060e12i | −0.710272 | − | 0.484255i | ||||
\(661\) | −1.72288e12 | + | 2.16043e12i | −0.351034 | + | 0.440182i | −0.925730 | − | 0.378184i | \(-0.876549\pi\) |
0.574697 | + | 0.818367i | \(0.305120\pi\) | |||||||
\(662\) | −6.72316e11 | − | 1.01335e11i | −0.136054 | − | 0.0205069i | ||||
\(663\) | −1.90295e11 | + | 5.86981e10i | −0.0382486 | + | 0.0117981i | ||||
\(664\) | 5.50472e10 | − | 7.34553e11i | 0.0109895 | − | 0.146645i | ||||
\(665\) | 2.17154e11 | − | 1.48053e11i | 0.0430597 | − | 0.0293576i | ||||
\(666\) | 4.93904e10 | − | 2.16394e11i | 0.00972767 | − | 0.0426197i | ||||
\(667\) | 1.06242e12 | − | 4.65474e12i | 0.207839 | − | 0.910604i | ||||
\(668\) | −8.13945e11 | + | 5.54938e11i | −0.158161 | + | 0.107833i | ||||
\(669\) | −2.66893e11 | + | 3.56144e12i | −0.0515133 | + | 0.687398i | ||||
\(670\) | −1.19217e12 | + | 3.67736e11i | −0.228561 | + | 0.0705016i | ||||
\(671\) | −8.74499e12 | − | 1.31810e12i | −1.66536 | − | 0.251013i | ||||
\(672\) | −1.16336e11 | + | 1.45880e11i | −0.0220065 | + | 0.0275953i | ||||
\(673\) | 2.13600e12 | + | 1.45630e12i | 0.401359 | + | 0.273642i | 0.747131 | − | 0.664677i | \(-0.231431\pi\) |
−0.345772 | + | 0.938318i | \(0.612383\pi\) | |||||||
\(674\) | 9.31707e11 | − | 8.64498e11i | 0.173904 | − | 0.161359i | ||||
\(675\) | 2.85164e12 | − | 7.26587e12i | 0.528723 | − | 1.34716i | ||||
\(676\) | 2.46463e12 | + | 7.60238e11i | 0.453933 | + | 0.140020i | ||||
\(677\) | 2.13927e12 | + | 1.03022e12i | 0.391397 | + | 0.188487i | 0.619223 | − | 0.785215i | \(-0.287448\pi\) |
−0.227826 | + | 0.973702i | \(0.573162\pi\) | |||||||
\(678\) | −4.38613e10 | − | 1.11757e11i | −0.00797165 | − | 0.0203114i | ||||
\(679\) | −3.77528e10 | − | 5.03777e11i | −0.00681610 | − | 0.0909545i | ||||
\(680\) | 2.40388e11 | + | 3.01436e11i | 0.0431144 | + | 0.0540637i | ||||
\(681\) | −1.62654e12 | − | 2.81724e12i | −0.289802 | − | 0.501952i | ||||
\(682\) | −3.49384e11 | + | 6.05151e11i | −0.0618406 | + | 0.107111i | ||||
\(683\) | −3.28860e12 | + | 4.95676e11i | −0.578252 | + | 0.0871575i | −0.431655 | − | 0.902039i | \(-0.642070\pi\) |
−0.146597 | + | 0.989196i | \(0.546832\pi\) | |||||||
\(684\) | 5.72423e11 | − | 2.75664e11i | 0.0999918 | − | 0.0481535i | ||||
\(685\) | −5.72392e12 | − | 5.31102e12i | −0.993312 | − | 0.921659i | ||||
\(686\) | 7.87381e10 | + | 3.44974e11i | 0.0135746 | + | 0.0594741i | ||||
\(687\) | −1.94579e12 | −0.333265 | ||||||||
\(688\) | −3.13715e12 | − | 4.56488e12i | −0.533811 | − | 0.776751i | ||||
\(689\) | 3.49929e12 | 0.591553 | ||||||||
\(690\) | −1.15670e11 | − | 5.06783e11i | −0.0194267 | − | 0.0851141i | ||||
\(691\) | 1.80185e12 | + | 1.67187e12i | 0.300654 | + | 0.278966i | 0.816044 | − | 0.577990i | \(-0.196163\pi\) |
−0.515390 | + | 0.856956i | \(0.672353\pi\) | |||||||
\(692\) | 8.38936e12 | − | 4.04010e12i | 1.39076 | − | 0.669753i | ||||
\(693\) | 1.50374e12 | − | 2.26653e11i | 0.247671 | − | 0.0373303i | ||||
\(694\) | −3.76775e11 | + | 6.52594e11i | −0.0616545 | + | 0.106789i | ||||
\(695\) | 4.91491e12 | + | 8.51288e12i | 0.799069 | + | 1.38403i | ||||
\(696\) | 4.08612e11 | + | 5.12383e11i | 0.0660039 | + | 0.0827663i | ||||
\(697\) | −3.17159e10 | − | 4.23220e11i | −0.00509014 | − | 0.0679232i | ||||
\(698\) | −2.58589e11 | − | 6.58874e11i | −0.0412345 | − | 0.105064i | ||||
\(699\) | 2.88670e12 | + | 1.39016e12i | 0.457356 | + | 0.220251i | ||||
\(700\) | 2.71805e12 | + | 8.38409e11i | 0.427875 | + | 0.131982i | ||||
\(701\) | −3.17219e12 | + | 8.08261e12i | −0.496167 | + | 1.26421i | 0.435266 | + | 0.900302i | \(0.356654\pi\) |
−0.931433 | + | 0.363912i | \(0.881441\pi\) | |||||||
\(702\) | 3.35988e11 | − | 3.11751e11i | 0.0522163 | − | 0.0484497i | ||||
\(703\) | 2.63056e11 | + | 1.79349e11i | 0.0406209 | + | 0.0276949i | ||||
\(704\) | 4.70258e12 | − | 5.89685e12i | 0.721538 | − | 0.904781i | ||||
\(705\) | −2.16025e11 | − | 3.25606e10i | −0.0329347 | − | 0.00496411i | ||||
\(706\) | −7.62038e11 | + | 2.35058e11i | −0.115440 | + | 0.0356085i | ||||
\(707\) | −1.82764e11 | + | 2.43881e12i | −0.0275108 | + | 0.367106i | ||||
\(708\) | −3.16172e12 | + | 2.15562e12i | −0.472904 | + | 0.322421i | ||||
\(709\) | 9.74006e11 | − | 4.26740e12i | 0.144762 | − | 0.634242i | −0.849529 | − | 0.527541i | \(-0.823114\pi\) |
0.994291 | − | 0.106701i | \(-0.0340288\pi\) | |||||||
\(710\) | 1.37772e11 | − | 6.03621e11i | 0.0203470 | − | 0.0891459i | ||||
\(711\) | −7.01253e12 | + | 4.78106e12i | −1.02911 | + | 0.701635i | ||||
\(712\) | 1.16016e11 | − | 1.54813e12i | 0.0169184 | − | 0.225760i | ||||
\(713\) | 4.21046e12 | − | 1.29876e12i | 0.610137 | − | 0.188202i | ||||
\(714\) | 1.19796e10 | + | 1.80564e9i | 0.00172505 | + | 0.000260010i | ||||
\(715\) | −7.10851e12 | + | 8.91379e12i | −1.01719 | + | 1.27551i | ||||
\(716\) | 5.29995e11 | + | 3.61344e11i | 0.0753639 | + | 0.0513822i | ||||
\(717\) | 3.12770e12 | − | 2.90208e12i | 0.441966 | − | 0.410084i | ||||
\(718\) | −8.77222e10 | + | 2.23513e11i | −0.0123183 | + | 0.0313864i | ||||
\(719\) | −5.01965e12 | − | 1.54836e12i | −0.700477 | − | 0.216068i | −0.0759954 | − | 0.997108i | \(-0.524213\pi\) |
−0.624481 | + | 0.781040i | \(0.714690\pi\) | |||||||
\(720\) | 9.06677e12 | + | 4.36632e12i | 1.25735 | + | 0.605508i | ||||
\(721\) | 1.08112e12 | + | 2.75465e12i | 0.148993 | + | 0.379628i | ||||
\(722\) | 7.44495e10 | + | 9.93460e11i | 0.0101963 | + | 0.136061i | ||||
\(723\) | 1.29964e12 | + | 1.62969e12i | 0.176888 | + | 0.221811i | ||||
\(724\) | −4.93423e12 | − | 8.54634e12i | −0.667415 | − | 1.15600i | ||||
\(725\) | 7.51730e12 | − | 1.30203e13i | 1.01051 | − | 1.75026i | ||||
\(726\) | −2.79903e11 | + | 4.21885e10i | −0.0373932 | + | 0.00563611i | ||||
\(727\) | 1.24301e13 | − | 5.98602e12i | 1.65033 | − | 0.794755i | 0.650961 | − | 0.759111i | \(-0.274366\pi\) |
0.999365 | − | 0.0356436i | \(-0.0113481\pi\) | |||||||
\(728\) | 2.47287e11 | + | 2.29449e11i | 0.0326295 | + | 0.0302758i | ||||
\(729\) | 3.63796e11 | + | 1.59390e12i | 0.0477073 | + | 0.209019i | ||||
\(730\) | 1.20847e12 | 0.157501 | ||||||||
\(731\) | −4.80239e11 | + | 1.00676e12i | −0.0622056 | + | 0.130406i | ||||
\(732\) | −3.79008e12 | −0.487920 | ||||||||
\(733\) | −6.29142e11 | − | 2.75645e12i | −0.0804972 | − | 0.352681i | 0.918599 | − | 0.395191i | \(-0.129322\pi\) |
−0.999096 | + | 0.0425100i | \(0.986465\pi\) | |||||||
\(734\) | −8.63320e11 | − | 8.01044e11i | −0.109784 | − | 0.101865i | ||||
\(735\) | −4.54157e12 | + | 2.18711e12i | −0.574002 | + | 0.276425i | ||||
\(736\) | 2.99315e12 | − | 4.51145e11i | 0.375992 | − | 0.0566716i | ||||
\(737\) | 5.17731e12 | − | 8.96737e12i | 0.646399 | − | 1.11960i | ||||
\(738\) | 2.24565e11 | + | 3.88959e11i | 0.0278669 | + | 0.0482670i | ||||
\(739\) | 1.02524e12 | + | 1.28561e12i | 0.126452 | + | 0.158566i | 0.841027 | − | 0.540993i | \(-0.181951\pi\) |
−0.714575 | + | 0.699559i | \(0.753380\pi\) | |||||||
\(740\) | 3.84569e11 | + | 5.13171e12i | 0.0471445 | + | 0.629100i | ||||
\(741\) | 1.10439e11 | + | 2.81394e11i | 0.0134568 | + | 0.0342873i | ||||
\(742\) | −1.91800e11 | − | 9.23660e10i | −0.0232290 | − | 0.0111865i | ||||
\(743\) | 4.50100e11 | + | 1.38837e11i | 0.0541825 | + | 0.0167131i | 0.321728 | − | 0.946832i | \(-0.395736\pi\) |
−0.267545 | + | 0.963545i | \(0.586213\pi\) | |||||||
\(744\) | −2.20965e11 | + | 5.63009e11i | −0.0264390 | + | 0.0673655i | ||||
\(745\) | 1.61521e13 | − | 1.49870e13i | 1.92100 | − | 1.78243i | ||||
\(746\) | −1.32033e12 | − | 9.00185e11i | −0.156084 | − | 0.106416i | ||||
\(747\) | −2.41406e12 | + | 3.02713e12i | −0.283664 | + | 0.355704i | ||||
\(748\) | −1.56669e12 | − | 2.36141e11i | −0.182990 | − | 0.0275813i | ||||
\(749\) | −5.02434e11 | + | 1.54980e11i | −0.0583325 | + | 0.0179932i | ||||
\(750\) | 6.19579e10 | − | 8.26771e11i | 0.00715025 | − | 0.0954134i | ||||
\(751\) | −1.19980e13 | + | 8.18009e12i | −1.37635 | + | 0.938380i | −0.376421 | + | 0.926449i | \(0.622846\pi\) |
−0.999929 | + | 0.0119312i | \(0.996202\pi\) | |||||||
\(752\) | 9.12705e10 | − | 3.99882e11i | 0.0104076 | − | 0.0455986i | ||||
\(753\) | −4.67308e11 | + | 2.04741e12i | −0.0529695 | + | 0.232075i | ||||
\(754\) | 7.29440e11 | − | 4.97324e11i | 0.0821899 | − | 0.0560361i | ||||
\(755\) | 5.49091e10 | − | 7.32711e11i | 0.00615011 | − | 0.0820675i | ||||
\(756\) | 1.35445e12 | − | 4.17791e11i | 0.150804 | − | 0.0465169i | ||||
\(757\) | −2.43352e12 | − | 3.66794e11i | −0.269341 | − | 0.0405967i | 0.0129829 | − | 0.999916i | \(-0.495867\pi\) |
−0.282324 | + | 0.959319i | \(0.591105\pi\) | |||||||
\(758\) | 4.19842e11 | − | 5.26465e11i | 0.0461928 | − | 0.0579240i | ||||
\(759\) | 3.56464e12 | + | 2.43033e12i | 0.389877 | + | 0.265814i | ||||
\(760\) | 4.29022e11 | − | 3.98074e11i | 0.0466464 | − | 0.0432815i | ||||
\(761\) | 1.21611e12 | − | 3.09859e12i | 0.131444 | − | 0.334913i | −0.849966 | − | 0.526838i | \(-0.823378\pi\) |
0.981410 | + | 0.191924i | \(0.0614728\pi\) | |||||||
\(762\) | −2.50431e11 | − | 7.72476e10i | −0.0269085 | − | 0.00830019i | ||||
\(763\) | −2.30481e12 | − | 1.10994e12i | −0.246192 | − | 0.118560i | ||||
\(764\) | 4.94588e12 | + | 1.26019e13i | 0.525199 | + | 1.33818i | ||||
\(765\) | −1.51446e11 | − | 2.02090e12i | −0.0159875 | − | 0.213338i | ||||
\(766\) | −1.53798e12 | − | 1.92856e12i | −0.161406 | − | 0.202397i | ||||
\(767\) | 5.20559e12 | + | 9.01636e12i | 0.543114 | + | 0.940702i | ||||
\(768\) | 1.51129e12 | − | 2.61763e12i | 0.156755 | − | 0.271508i | ||||
\(769\) | 5.10808e12 | − | 7.69919e11i | 0.526731 | − | 0.0793919i | 0.119707 | − | 0.992809i | \(-0.461805\pi\) |
0.407024 | + | 0.913417i | \(0.366566\pi\) | |||||||
\(770\) | 6.24911e11 | − | 3.00941e11i | 0.0640634 | − | 0.0308513i | ||||
\(771\) | 3.92068e12 | + | 3.63786e12i | 0.399592 | + | 0.370768i | ||||
\(772\) | −2.74130e12 | − | 1.20104e13i | −0.277766 | − | 1.21697i | ||||
\(773\) | 8.62617e12 | 0.868981 | 0.434490 | − | 0.900676i | \(-0.356928\pi\) | ||||
0.434490 | + | 0.900676i | \(0.356928\pi\) | |||||||
\(774\) | −4.37844e9 | − | 1.18041e12i | −0.000438516 | − | 0.118222i | ||||
\(775\) | 1.38751e13 | 1.38158 | ||||||||
\(776\) | −2.50326e11 | − | 1.09675e12i | −0.0247816 | − | 0.108575i | ||||
\(777\) | 2.39405e11 | + | 2.22135e11i | 0.0235634 | + | 0.0218637i | ||||
\(778\) | −7.18415e11 | + | 3.45971e11i | −0.0703020 | + | 0.0338556i | ||||
\(779\) | −6.37039e11 | + | 9.60182e10i | −0.0619794 | + | 0.00934189i | ||||
\(780\) | −2.44304e12 | + | 4.23147e12i | −0.236322 | + | 0.409322i | ||||
\(781\) | 2.56934e12 | + | 4.45023e12i | 0.247111 | + | 0.428009i | ||||
\(782\) | −1.22539e11 | − | 1.53659e11i | −0.0117177 | − | 0.0146936i | ||||
\(783\) | −5.59875e11 | − | 7.47101e12i | −0.0532308 | − | 0.710316i | ||||
\(784\) | −3.45758e12 | − | 8.80976e12i | −0.326851 | − | 0.832802i | ||||
\(785\) | −2.01505e13 | − | 9.70398e12i | −1.89397 | − | 0.912087i | ||||
\(786\) | 9.24623e11 | + | 2.85209e11i | 0.0864099 | + | 0.0266539i | ||||
\(787\) | −5.98536e12 | + | 1.52504e13i | −0.556165 | + | 1.41709i | 0.325650 | + | 0.945490i | \(0.394417\pi\) |
−0.881815 | + | 0.471596i | \(0.843678\pi\) | |||||||
\(788\) | 7.03478e12 | − | 6.52732e12i | 0.649954 | − | 0.603069i | ||||
\(789\) | −4.28170e12 | − | 2.91921e12i | −0.393341 | − | 0.268176i | ||||
\(790\) | −2.41354e12 | + | 3.02649e12i | −0.220462 | + | 0.276450i | ||||
\(791\) | −9.98844e11 | − | 1.50551e11i | −0.0907201 | − | 0.0136738i | ||||
\(792\) | 3.23592e12 | − | 9.98149e11i | 0.292236 | − | 0.0901430i | ||||
\(793\) | −7.70596e11 | + | 1.02829e13i | −0.0691986 | + | 0.923391i | ||||
\(794\) | −3.73571e11 | + | 2.54697e11i | −0.0333566 | + | 0.0227421i | ||||
\(795\) | 1.38575e12 | − | 6.07135e12i | 0.123036 | − | 0.539055i | ||||
\(796\) | 1.55273e12 | − | 6.80296e12i | 0.137084 | − | 0.600605i | ||||
\(797\) | −1.62886e13 | + | 1.11054e13i | −1.42995 | + | 0.974923i | −0.432643 | + | 0.901565i | \(0.642419\pi\) |
−0.997306 | + | 0.0733573i | \(0.976629\pi\) | |||||||
\(798\) | 1.37429e9 | − | 1.83387e10i | 0.000119968 | − | 0.00160087i | ||||
\(799\) | −7.89299e10 | + | 2.43467e10i | −0.00685143 | + | 0.00211339i | ||||
\(800\) | 9.42534e12 | + | 1.42064e12i | 0.813565 | + | 0.122625i | ||||
\(801\) | −5.08781e12 | + | 6.37991e12i | −0.436701 | + | 0.547606i | ||||
\(802\) | −1.93617e12 | − | 1.32006e12i | −0.165257 | − | 0.112670i | ||||
\(803\) | −7.35245e12 | + | 6.82208e12i | −0.624040 | + | 0.579024i | ||||
\(804\) | 1.62123e12 | − | 4.13082e12i | 0.136833 | − | 0.348645i | ||||
\(805\) | −4.17932e12 | − | 1.28915e12i | −0.350771 | − | 0.108199i | ||||
\(806\) | 7.34068e11 | + | 3.53509e11i | 0.0612673 | + | 0.0295048i | ||||
\(807\) | −2.88838e12 | − | 7.35947e12i | −0.239731 | − | 0.610824i | ||||
\(808\) | 4.06979e11 | + | 5.43076e12i | 0.0335908 | + | 0.448238i | ||||
\(809\) | 4.54282e12 | + | 5.69651e12i | 0.372870 | + | 0.467564i | 0.932495 | − | 0.361182i | \(-0.117627\pi\) |
−0.559626 | + | 0.828745i | \(0.689055\pi\) | |||||||
\(810\) | 8.51997e11 | + | 1.47570e12i | 0.0695433 | + | 0.120453i | ||||
\(811\) | −3.91867e12 | + | 6.78734e12i | −0.318086 | + | 0.550942i | −0.980089 | − | 0.198560i | \(-0.936373\pi\) |
0.662002 | + | 0.749502i | \(0.269707\pi\) | |||||||
\(812\) | 2.69970e12 | − | 4.06914e11i | 0.217928 | − | 0.0328474i | ||||
\(813\) | −6.09121e12 | + | 2.93337e12i | −0.488985 | + | 0.235483i | ||||
\(814\) | 6.15919e11 | + | 5.71489e11i | 0.0491715 | + | 0.0456245i | ||||
\(815\) | 6.57116e10 | + | 2.87901e11i | 0.00521714 | + | 0.0228578i | ||||
\(816\) | −6.65385e11 | −0.0525372 | ||||||||
\(817\) | 1.57844e12 | + | 6.12743e11i | 0.123945 | + | 0.0481149i | ||||
\(818\) | 9.90966e11 | 0.0773871 | ||||||||
\(819\) | −3.94563e11 | − | 1.72869e12i | −0.0306436 | − | 0.134258i | ||||
\(820\) | −7.63333e12 | − | 7.08270e12i | −0.589592 | − | 0.547062i | ||||
\(821\) | −1.50594e13 | + | 7.25221e12i | −1.15681 | + | 0.557091i | −0.911073 | − | 0.412245i | \(-0.864745\pi\) |
−0.245738 | + | 0.969336i | \(0.579030\pi\) | |||||||
\(822\) | −5.40259e11 | + | 8.14309e10i | −0.0412742 | + | 0.00622108i | ||||
\(823\) | 1.69925e12 | − | 2.94319e12i | 0.129110 | − | 0.223624i | −0.794222 | − | 0.607627i | \(-0.792121\pi\) |
0.923332 | + | 0.384003i | \(0.125455\pi\) | |||||||
\(824\) | 3.29479e12 | + | 5.70674e12i | 0.248974 | + | 0.431236i | ||||
\(825\) | 8.47047e12 | + | 1.06216e13i | 0.636598 | + | 0.798268i | ||||
\(826\) | −4.73320e10 | − | 6.31602e11i | −0.00353789 | − | 0.0472099i | ||||
\(827\) | −2.80059e11 | − | 7.13579e11i | −0.0208197 | − | 0.0530478i | 0.920086 | − | 0.391717i | \(-0.128119\pi\) |
−0.940906 | + | 0.338669i | \(0.890023\pi\) | |||||||
\(828\) | −9.52568e12 | − | 4.58732e12i | −0.704303 | − | 0.339174i | ||||
\(829\) | −2.09751e12 | − | 6.46996e11i | −0.154244 | − | 0.0475780i | 0.216672 | − | 0.976245i | \(-0.430480\pi\) |
−0.370916 | + | 0.928667i | \(0.620956\pi\) | |||||||
\(830\) | −6.45168e11 | + | 1.64386e12i | −0.0471869 | + | 0.120230i | ||||
\(831\) | −7.52879e12 | + | 6.98570e12i | −0.547672 | + | 0.508166i | ||||
\(832\) | −7.26618e12 | − | 4.95400e12i | −0.525716 | − | 0.358427i | ||||
\(833\) | −1.18829e12 | + | 1.49006e12i | −0.0855103 | + | 0.107227i | ||||
\(834\) | 6.80125e11 | + | 1.02512e11i | 0.0486790 | + | 0.00733718i | ||||
\(835\) | 4.55794e12 | − | 1.40594e12i | 0.324474 | − | 0.100087i | ||||
\(836\) | −1.79730e11 | + | 2.39832e12i | −0.0127260 | + | 0.169816i | ||||
\(837\) | 5.71273e12 | − | 3.89487e12i | 0.402327 | − | 0.274302i | ||||
\(838\) | −5.39040e11 | + | 2.36169e12i | −0.0377592 | + | 0.165434i | ||||
\(839\) | 3.64884e12 | − | 1.59866e13i | 0.254229 | − | 1.11385i | −0.673084 | − | 0.739566i | \(-0.735031\pi\) |
0.927314 | − | 0.374285i | \(-0.122112\pi\) | |||||||
\(840\) | 4.96028e11 | − | 3.38186e11i | 0.0343755 | − | 0.0234368i | ||||
\(841\) | −5.70486e9 | + | 7.61260e10i | −0.000393245 | + | 0.00524748i | ||||
\(842\) | 1.25041e11 | − | 3.85701e10i | 0.00857332 | − | 0.00264452i | ||||
\(843\) | 1.25892e12 | + | 1.89752e11i | 0.0858568 | + | 0.0129408i | ||||
\(844\) | 5.07164e12 | − | 6.35964e12i | 0.344039 | − | 0.431411i | ||||
\(845\) | −1.03183e13 | − | 7.03492e12i | −0.696232 | − | 0.474683i | ||||
\(846\) | 6.40772e10 | − | 5.94550e10i | 0.00430068 | − | 0.00399045i | ||||
\(847\) | −8.70113e11 | + | 2.21701e12i | −0.0580898 | + | 0.148010i | ||||
\(848\) | 1.11726e13 | + | 3.44628e12i | 0.741946 | + | 0.228860i | ||||
\(849\) | 3.06060e12 | + | 1.47391e12i | 0.202172 | + | 0.0973611i | ||||
\(850\) | −2.26106e11 | − | 5.76109e11i | −0.0148569 | − | 0.0378547i | ||||
\(851\) | −3.95929e11 | − | 5.28330e12i | −0.0258782 | − | 0.345321i | ||||
\(852\) | 1.37307e12 | + | 1.72177e12i | 0.0892717 | + | 0.111943i | ||||
\(853\) | −2.52205e12 | − | 4.36832e12i | −0.163111 | − | 0.282517i | 0.772872 | − | 0.634562i | \(-0.218820\pi\) |
−0.935983 | + | 0.352046i | \(0.885486\pi\) | |||||||
\(854\) | 3.13661e11 | − | 5.43277e11i | 0.0201790 | − | 0.0349511i | ||||
\(855\) | −3.04190e12 | + | 4.58493e11i | −0.194669 | + | 0.0293417i | ||||
\(856\) | −1.05489e12 | + | 5.08007e11i | −0.0671544 | + | 0.0323399i | ||||
\(857\) | 7.08983e12 | + | 6.57840e12i | 0.448975 | + | 0.416588i | 0.871982 | − | 0.489539i | \(-0.162835\pi\) |
−0.423006 | + | 0.906127i | \(0.639025\pi\) | |||||||
\(858\) | 1.77518e11 | + | 7.77755e11i | 0.0111827 | + | 0.0489948i | ||||
\(859\) | 1.11945e13 | 0.701511 | 0.350755 | − | 0.936467i | \(-0.385925\pi\) | ||||
0.350755 | + | 0.936467i | \(0.385925\pi\) | |||||||
\(860\) | 8.16380e12 | + | 2.61220e13i | 0.508920 | + | 1.62841i | ||||
\(861\) | −6.60845e11 | −0.0409813 | ||||||||
\(862\) | −3.57779e10 | − | 1.56753e11i | −0.00220715 | − | 0.00967017i | ||||
\(863\) | −1.02273e13 | − | 9.48956e12i | −0.627643 | − | 0.582368i | 0.300871 | − | 0.953665i | \(-0.402723\pi\) |
−0.928514 | + | 0.371297i | \(0.878913\pi\) | |||||||
\(864\) | 4.27945e12 | − | 2.06088e12i | 0.261262 | − | 0.125817i | ||||
\(865\) | −4.45817e13 | + | 6.71961e12i | −2.70760 | + | 0.408105i | ||||
\(866\) | 6.43398e11 | − | 1.11440e12i | 0.0388731 | − | 0.0673302i | ||||
\(867\) | −3.14242e12 | − | 5.44284e12i | −0.188877 | − | 0.327144i | ||||
\(868\) | 1.57096e12 | + | 1.96992e12i | 0.0939348 | + | 0.117790i | ||||
\(869\) | −2.40094e12 | − | 3.20383e13i | −0.142821 | − | 1.90581i | ||||
\(870\) | −5.74005e11 | − | 1.46254e12i | −0.0339687 | − | 0.0865508i | ||||
\(871\) | −1.08777e13 | − | 5.23844e12i | −0.640407 | − | 0.308404i | ||||
\(872\) | −5.44340e12 | − | 1.67907e12i | −0.318820 | − | 0.0983430i | ||||
\(873\) | −2.16029e12 | + | 5.50434e12i | −0.125878 | + | 0.320731i | ||||
\(874\) | −2.18696e11 | + | 2.02921e11i | −0.0126777 | + | 0.0117632i | ||||
\(875\) | −5.76367e12 | − | 3.92960e12i | −0.332401 | − | 0.226627i | ||||
\(876\) | −2.68002e12 | + | 3.36064e12i | −0.153769 | + | 0.192820i | ||||
\(877\) | 3.23548e13 | + | 4.87670e12i | 1.84689 | + | 0.278373i | 0.976741 | − | 0.214422i | \(-0.0687867\pi\) |
0.870145 | + | 0.492795i | \(0.164025\pi\) | |||||||
\(878\) | −1.26176e12 | + | 3.89200e11i | −0.0716556 | + | 0.0221028i | ||||
\(879\) | −6.24401e11 | + | 8.33205e12i | −0.0352788 | + | 0.470763i | ||||
\(880\) | −3.14749e13 | + | 2.14592e13i | −1.76926 | + | 1.20626i | ||||
\(881\) | −5.70729e12 | + | 2.50053e13i | −0.319182 | + | 1.39843i | 0.519810 | + | 0.854282i | \(0.326003\pi\) |
−0.838992 | + | 0.544144i | \(0.816854\pi\) | |||||||
\(882\) | 4.48801e11 | − | 1.96633e12i | 0.0249715 | − | 0.109407i | ||||
\(883\) | 1.79437e12 | − | 1.22338e12i | 0.0993317 | − | 0.0677232i | −0.512636 | − | 0.858606i | \(-0.671331\pi\) |
0.611967 | + | 0.790883i | \(0.290378\pi\) | |||||||
\(884\) | −1.38055e11 | + | 1.84221e12i | −0.00760354 | + | 0.101462i | ||||
\(885\) | 1.77050e13 | − | 5.46128e12i | 0.970180 | − | 0.299261i | ||||
\(886\) | −2.65801e11 | − | 4.00630e10i | −0.0144912 | − | 0.00218420i | ||||
\(887\) | 7.86107e12 | − | 9.85747e12i | 0.426408 | − | 0.534699i | −0.521497 | − | 0.853253i | \(-0.674626\pi\) |
0.947904 | + | 0.318555i | \(0.103197\pi\) | |||||||
\(888\) | 6.00877e11 | + | 4.09671e11i | 0.0324285 | + | 0.0221094i | ||||
\(889\) | −1.61641e12 | + | 1.49981e12i | −0.0867946 | + | 0.0805336i | ||||
\(890\) | −1.35974e12 | + | 3.46456e12i | −0.0726443 | + | 0.185095i | ||||
\(891\) | −1.35142e13 | − | 4.16859e12i | −0.718360 | − | 0.221585i | ||||
\(892\) | 2.98500e13 | + | 1.43750e13i | 1.57871 | + | 0.760267i | ||||
\(893\) | 4.58077e10 | + | 1.16716e11i | 0.00241050 | + | 0.00614185i | ||||
\(894\) | −1.15216e11 | − | 1.53745e12i | −0.00603244 | − | 0.0804974i | ||||
\(895\) | −1.93647e12 | − | 2.42826e12i | −0.100881 | − | 0.126500i | ||||
\(896\) | 1.14999e12 | + | 1.99184e12i | 0.0596083 | + | 0.103245i | ||||
\(897\) | 2.51521e12 | − | 4.35646e12i | 0.129720 | − | 0.224682i | ||||
\(898\) | 4.82868e12 | − | 7.27806e11i | 0.247790 | − | 0.0373484i | ||||
\(899\) | 1.19989e13 | − | 5.77839e12i | 0.612667 | − | 0.295045i | ||||
\(900\) | −2.44056e13 | − | 2.26451e13i | −1.23993 | − | 1.15049i | ||||
\(901\) | −5.23937e11 | − | 2.29552e12i | −0.0264861 | − | 0.116043i | ||||
\(902\) | −1.70016e12 | −0.0855185 | ||||||||
\(903\) | 1.50737e12 | + | 8.62841e11i | 0.0754440 | + | 0.0431853i | ||||
\(904\) | −2.24935e12 | −0.112021 | ||||||||
\(905\) | 1.06325e13 | + | 4.65841e13i | 0.526887 | + | 2.30844i | ||||
\(906\) | −3.76881e10 | − | 3.49695e10i | −0.00185835 | − | 0.00172430i | ||||
\(907\) | 1.50380e13 | − | 7.24193e12i | 0.737833 | − | 0.355321i | −0.0269268 | − | 0.999637i | \(-0.508572\pi\) |
0.764759 | + | 0.644316i | \(0.222858\pi\) | |||||||
\(908\) | −2.98407e13 | + | 4.49775e12i | −1.45687 | + | 0.219588i | ||||
\(909\) | 1.43128e13 | − | 2.47905e13i | 0.695324 | − | 1.20434i | ||||
\(910\) | −4.04364e11 | − | 7.00379e11i | −0.0195473 | − | 0.0338569i | ||||
\(911\) | 1.64349e13 | + | 2.06087e13i | 0.790560 | + | 0.991331i | 0.999909 | + | 0.0134903i | \(0.00429421\pi\) |
−0.209349 | + | 0.977841i | \(0.567134\pi\) | |||||||
\(912\) | 7.54797e10 | + | 1.00721e12i | 0.00361288 | + | 0.0482105i | ||||
\(913\) | −5.35467e12 | − | 1.36435e13i | −0.255044 | − | 0.649841i | ||||
\(914\) | 4.49383e12 | + | 2.16412e12i | 0.212990 | + | 0.102571i | ||||
\(915\) | 1.75359e13 | + | 5.40911e12i | 0.827052 | + | 0.255112i | ||||
\(916\) | −6.59457e12 | + | 1.68027e13i | −0.309497 | + | 0.788586i | ||||
\(917\) | 5.96799e12 | − | 5.53748e12i | 0.278718 | − | 0.258613i | ||||
\(918\) | −2.54814e11 | − | 1.73729e11i | −0.0118422 | − | 0.00807384i | ||||
\(919\) | 1.56638e13 | − | 1.96418e13i | 0.724399 | − | 0.908368i | −0.274179 | − | 0.961679i | \(-0.588406\pi\) |
0.998578 | + | 0.0533111i | \(0.0169775\pi\) | |||||||
\(920\) | −9.63042e12 | − | 1.45155e12i | −0.443200 | − | 0.0668017i | ||||
\(921\) | −6.01616e12 | + | 1.85574e12i | −0.275519 | + | 0.0849862i | ||||
\(922\) | 1.81704e11 | − | 2.42468e12i | 0.00828087 | − | 0.110501i | ||||
\(923\) | 4.95052e12 | − | 3.37521e12i | 0.224514 | − | 0.153071i | ||||
\(924\) | −5.48972e11 | + | 2.40520e12i | −0.0247757 | + | 0.108550i | ||||
\(925\) | 3.71245e12 | − | 1.62653e13i | 0.166734 | − | 0.730508i | ||||
\(926\) | −2.95765e12 | + | 2.01649e12i | −0.132189 | + | 0.0901252i | ||||
\(927\) | 2.58840e12 | − | 3.45398e13i | 0.115126 | − | 1.53625i | ||||
\(928\) | 8.74254e12 | − | 2.69672e12i | 0.386965 | − | 0.119363i | ||||
\(929\) | 3.88120e13 | + | 5.84997e12i | 1.70960 | + | 0.257681i | 0.929726 | − | 0.368252i | \(-0.120043\pi\) |
0.779877 | + | 0.625933i | \(0.215282\pi\) | |||||||
\(930\) | 9.04043e11 | − | 1.13363e12i | 0.0396292 | − | 0.0496935i | ||||
\(931\) | 2.39034e12 | + | 1.62970e12i | 0.104276 | + | 0.0710944i | ||||
\(932\) | 2.17881e13 | − | 2.02164e13i | 0.945907 | − | 0.877673i | ||||
\(933\) | 4.88528e12 | − | 1.24475e13i | 0.211068 | − | 0.537793i | ||||
\(934\) | 3.01910e11 | + | 9.31267e10i | 0.0129812 | + | 0.00400418i | ||||
\(935\) | 6.91174e12 | + | 3.32852e12i | 0.295757 | + | 0.142429i | ||||
\(936\) | −1.44253e12 | − | 3.67552e12i | −0.0614306 | − | 0.156523i | ||||
\(937\) | 2.30173e12 | + | 3.07144e13i | 0.0975497 | + | 1.30171i | 0.804290 | + | 0.594237i | \(0.202546\pi\) |
−0.706740 | + | 0.707473i | \(0.749835\pi\) | |||||||
\(938\) | 4.57949e11 | + | 5.74249e11i | 0.0193154 | + | 0.0242208i | ||||
\(939\) | −5.24349e12 | − | 9.08200e12i | −0.220103 | − | 0.381229i | ||||
\(940\) | −1.01332e12 | + | 1.75512e12i | −0.0423321 | + | 0.0733214i | ||||
\(941\) | −1.08299e13 | + | 1.63234e12i | −0.450267 | + | 0.0678668i | −0.370261 | − | 0.928928i | \(-0.620732\pi\) |
−0.0800055 | + | 0.996794i | \(0.525494\pi\) | |||||||
\(942\) | −1.40996e12 | + | 6.79002e11i | −0.0583416 | + | 0.0280958i | ||||
\(943\) | 7.85882e12 | + | 7.29192e12i | 0.323634 | + | 0.300289i | ||||
\(944\) | 7.74072e12 | + | 3.39143e13i | 0.317254 | + | 1.38998i | ||||
\(945\) | −6.86299e12 | −0.279944 | ||||||||
\(946\) | 3.87802e12 | + | 2.21984e12i | 0.157434 | + | 0.0901178i | ||||
\(947\) | 3.77142e13 | 1.52381 | 0.761904 | − | 0.647690i | \(-0.224265\pi\) | ||||
0.761904 | + | 0.647690i | \(0.224265\pi\) | |||||||
\(948\) | −3.06385e12 | − | 1.34236e13i | −0.123205 | − | 0.539798i | ||||
\(949\) | 8.57287e12 | + | 7.95446e12i | 0.343106 | + | 0.318356i | ||||
\(950\) | −8.46419e11 | + | 4.07614e11i | −0.0337155 | + | 0.0162365i | ||||
\(951\) | −1.46021e13 | + | 2.20091e12i | −0.578898 | + | 0.0872549i | ||||
\(952\) | 1.13492e11 | − | 1.96574e11i | 0.00447816 | − | 0.00775640i | ||||
\(953\) | −7.20661e12 | − | 1.24822e13i | −0.283017 | − | 0.490201i | 0.689109 | − | 0.724658i | \(-0.258002\pi\) |
−0.972126 | + | 0.234457i | \(0.924669\pi\) | |||||||
\(954\) | 1.55356e12 | + | 1.94811e12i | 0.0607241 | + | 0.0761456i | ||||
\(955\) | −4.89843e12 | − | 6.53650e13i | −0.190564 | − | 2.54290i | ||||
\(956\) | −1.44604e13 | − | 3.68446e13i | −0.559913 | − | 1.42664i | ||||
\(957\) | 1.17486e13 | + | 5.65784e12i | 0.452776 | + | 0.218045i | ||||
\(958\) | −1.30111e12 | − | 4.01340e11i | −0.0499080 | − | 0.0153946i | ||||
\(959\) | −1.67946e12 | + | 4.27920e12i | −0.0641190 | + | 0.163372i | ||||
\(960\) | −1.14728e13 | + | 1.06452e13i | −0.435961 | + | 0.404513i | ||||
\(961\) | −1.16904e13 | − | 7.97038e12i | −0.442154 | − | 0.301456i | ||||
\(962\) | 6.10818e11 | − | 7.65941e11i | 0.0229945 | − | 0.0288342i | ||||
\(963\) | 6.08551e12 | + | 9.17244e11i | 0.228023 | + | 0.0343690i | ||||
\(964\) | 1.84777e13 | − | 5.69963e12i | 0.689132 | − | 0.212569i | ||||
\(965\) | −4.45757e12 | + | 5.94821e13i | −0.165472 | + | 2.20807i | ||||
\(966\) | −2.52853e11 | + | 1.72392e11i | −0.00934267 | + | 0.00636973i | ||||
\(967\) | 9.55209e12 | − | 4.18505e13i | 0.351301 | − | 1.53915i | −0.422880 | − | 0.906186i | \(-0.638981\pi\) |
0.774181 | − | 0.632965i | \(-0.218162\pi\) | |||||||
\(968\) | −1.18013e12 | + | 5.17048e12i | −0.0432007 | + | 0.189275i | ||||
\(969\) | 1.68058e11 | − | 1.14580e11i | 0.00612353 | − | 0.00417495i | ||||
\(970\) | −2.01542e11 | + | 2.68940e12i | −0.00730960 | + | 0.0975398i | ||||
\(971\) | −1.73743e13 | + | 5.35927e12i | −0.627222 | + | 0.193472i | −0.592040 | − | 0.805909i | \(-0.701677\pi\) |
−0.0351819 | + | 0.999381i | \(0.511201\pi\) | |||||||
\(972\) | −2.52673e13 | − | 3.80843e12i | −0.907946 | − | 0.136851i | ||||
\(973\) | 3.60818e12 | − | 4.52451e12i | 0.129057 | − | 0.161832i | ||||
\(974\) | 1.86878e12 | + | 1.27411e12i | 0.0665339 | + | 0.0453620i | ||||
\(975\) | 1.16120e13 | − | 1.07744e13i | 0.411515 | − | 0.381830i | ||||
\(976\) | −1.25875e13 | + | 3.20724e13i | −0.444033 | + | 1.13138i | ||||
\(977\) | −1.46837e13 | − | 4.52933e12i | −0.515597 | − | 0.159041i | 0.0260274 | − | 0.999661i | \(-0.491714\pi\) |
−0.541624 | + | 0.840621i | \(0.682190\pi\) | |||||||
\(978\) | 1.86167e10 | + | 8.96531e9i | 0.000650694 | + | 0.000313358i | ||||
\(979\) | −1.12854e13 | − | 2.87547e13i | −0.392640 | − | 1.00043i | ||||
\(980\) | 3.49450e12 | + | 4.66308e13i | 0.121023 | + | 1.61494i | ||||
\(981\) | 1.86687e13 | + | 2.34098e13i | 0.643582 | + | 0.807026i | ||||
\(982\) | −2.40823e12 | − | 4.17118e12i | −0.0826413 | − | 0.143139i | ||||
\(983\) | 2.23936e13 | − | 3.87869e13i | 0.764952 | − | 1.32494i | −0.175320 | − | 0.984511i | \(-0.556096\pi\) |
0.940272 | − | 0.340424i | \(-0.110571\pi\) | |||||||
\(984\) | −1.45513e12 | + | 2.19326e11i | −0.0494795 | + | 0.00745784i | ||||
\(985\) | −4.18641e13 | + | 2.01607e13i | −1.41703 | + | 0.682405i | ||||
\(986\) | −4.35459e11 | − | 4.04047e11i | −0.0146724 | − | 0.0136140i | ||||
\(987\) | 2.86198e10 | + | 1.25392e11i | 0.000959929 | + | 0.00420573i | ||||
\(988\) | 2.80426e12 | 0.0936292 | ||||||||
\(989\) | −8.40496e12 | − | 2.68936e13i | −0.279352 | − | 0.893854i | ||||
\(990\) | −8.11837e12 | −0.268603 | ||||||||
\(991\) | 7.40000e12 | + | 3.24215e13i | 0.243725 | + | 1.06783i | 0.937595 | + | 0.347729i | \(0.113047\pi\) |
−0.693870 | + | 0.720101i | \(0.744096\pi\) | |||||||
\(992\) | 6.18944e12 | + | 5.74296e12i | 0.202931 | + | 0.188293i | ||||
\(993\) | −1.05499e13 | + | 5.08056e12i | −0.344331 | + | 0.165821i | ||||
\(994\) | −3.60435e11 | + | 5.43268e10i | −0.0117108 | + | 0.00176512i | ||||
\(995\) | −1.68932e13 | + | 2.92598e13i | −0.546396 | + | 0.946385i | ||||
\(996\) | −3.14062e12 | − | 5.43971e12i | −0.101123 | − | 0.175150i | ||||
\(997\) | −1.05095e13 | − | 1.31785e13i | −0.336863 | − | 0.422412i | 0.584332 | − | 0.811515i | \(-0.301357\pi\) |
−0.921194 | + | 0.389102i | \(0.872785\pi\) | |||||||
\(998\) | −3.56453e11 | − | 4.75653e12i | −0.0113740 | − | 0.151776i | ||||
\(999\) | −3.03733e12 | − | 7.73899e12i | −0.0964823 | − | 0.245833i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.10.g.a.10.16 | ✓ | 384 | |
43.13 | even | 21 | inner | 43.10.g.a.13.16 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.g.a.10.16 | ✓ | 384 | 1.1 | even | 1 | trivial | |
43.10.g.a.13.16 | yes | 384 | 43.13 | even | 21 | inner |