Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,6,Mod(4,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.e (of order \(10\), degree \(4\), 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: | \(4.00959549532\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 25.9 |
Dual form | 25.6.e.a.14.3 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.62228 | + | 4.98565i | −0.640335 | + | 0.881346i | −0.998633 | − | 0.0522612i | \(-0.983357\pi\) |
0.358298 | + | 0.933607i | \(0.383357\pi\) | |||||||
\(3\) | 10.7412 | − | 3.49003i | 0.689049 | − | 0.223885i | 0.0564960 | − | 0.998403i | \(-0.482007\pi\) |
0.632553 | + | 0.774517i | \(0.282007\pi\) | |||||||
\(4\) | −1.84718 | − | 5.68504i | −0.0577244 | − | 0.177658i | ||||
\(5\) | 55.8518 | + | 2.36063i | 0.999108 | + | 0.0422283i | ||||
\(6\) | −21.5076 | + | 66.1937i | −0.243902 | + | 0.750652i | ||||
\(7\) | 133.004i | 1.02594i | 0.858407 | + | 0.512969i | \(0.171454\pi\) | ||||
−0.858407 | + | 0.512969i | \(0.828546\pi\) | |||||||
\(8\) | −152.517 | − | 49.5557i | −0.842544 | − | 0.273759i | ||||
\(9\) | −93.3979 | + | 67.8576i | −0.384354 | + | 0.279249i | ||||
\(10\) | −214.080 | + | 269.907i | −0.676982 | + | 0.853520i | ||||
\(11\) | 386.022 | + | 280.462i | 0.961902 | + | 0.698863i | 0.953592 | − | 0.301103i | \(-0.0973547\pi\) |
0.00831038 | + | 0.999965i | \(0.497355\pi\) | |||||||
\(12\) | −39.6819 | − | 54.6175i | −0.0795499 | − | 0.109491i | ||||
\(13\) | −3.32098 | − | 4.57094i | −0.00545015 | − | 0.00750148i | 0.806283 | − | 0.591530i | \(-0.201476\pi\) |
−0.811733 | + | 0.584028i | \(0.801476\pi\) | |||||||
\(14\) | −663.113 | − | 481.780i | −0.904206 | − | 0.656944i | ||||
\(15\) | 608.155 | − | 169.569i | 0.697888 | − | 0.194588i | ||||
\(16\) | 954.277 | − | 693.323i | 0.931911 | − | 0.677073i | ||||
\(17\) | 72.0953 | + | 23.4252i | 0.0605041 | + | 0.0196590i | 0.339113 | − | 0.940746i | \(-0.389873\pi\) |
−0.278609 | + | 0.960405i | \(0.589873\pi\) | |||||||
\(18\) | − | 711.448i | − | 0.517562i | ||||||
\(19\) | 971.806 | − | 2990.91i | 0.617583 | − | 1.90073i | 0.272479 | − | 0.962162i | \(-0.412156\pi\) |
0.345104 | − | 0.938564i | \(-0.387844\pi\) | |||||||
\(20\) | −89.7482 | − | 321.880i | −0.0501708 | − | 0.179937i | ||||
\(21\) | 464.190 | + | 1428.63i | 0.229693 | + | 0.706921i | ||||
\(22\) | −2796.57 | + | 908.659i | −1.23188 | + | 0.400262i | ||||
\(23\) | −1122.34 | + | 1544.77i | −0.442390 | + | 0.608897i | −0.970741 | − | 0.240129i | \(-0.922810\pi\) |
0.528351 | + | 0.849026i | \(0.322810\pi\) | |||||||
\(24\) | −1811.16 | −0.641844 | ||||||||
\(25\) | 3113.85 | + | 263.691i | 0.996434 | + | 0.0843812i | ||||
\(26\) | 34.8186 | 0.0101013 | ||||||||
\(27\) | −2379.52 | + | 3275.13i | −0.628174 | + | 0.864607i | ||||
\(28\) | 756.136 | − | 245.683i | 0.182266 | − | 0.0592217i | ||||
\(29\) | −563.509 | − | 1734.30i | −0.124424 | − | 0.382939i | 0.869371 | − | 0.494159i | \(-0.164524\pi\) |
−0.993796 | + | 0.111220i | \(0.964524\pi\) | |||||||
\(30\) | −1357.50 | + | 3646.27i | −0.275383 | + | 0.739683i | ||||
\(31\) | 2442.53 | − | 7517.35i | 0.456495 | − | 1.40495i | −0.412875 | − | 0.910788i | \(-0.635476\pi\) |
0.869371 | − | 0.494160i | \(-0.164524\pi\) | |||||||
\(32\) | 2137.40i | 0.368988i | ||||||||
\(33\) | 5125.17 | + | 1665.27i | 0.819263 | + | 0.266195i | ||||
\(34\) | −377.939 | + | 274.589i | −0.0560693 | + | 0.0407367i | ||||
\(35\) | −313.975 | + | 7428.54i | −0.0433236 | + | 1.02502i | ||||
\(36\) | 558.296 | + | 405.626i | 0.0717973 | + | 0.0521638i | ||||
\(37\) | −4495.65 | − | 6187.74i | −0.539869 | − | 0.743066i | 0.448725 | − | 0.893670i | \(-0.351878\pi\) |
−0.988594 | + | 0.150604i | \(0.951878\pi\) | |||||||
\(38\) | 11391.5 | + | 15679.0i | 1.27974 | + | 1.76141i | ||||
\(39\) | −51.6241 | − | 37.5071i | −0.00543489 | − | 0.00394868i | ||||
\(40\) | −8401.35 | − | 3127.81i | −0.830232 | − | 0.309094i | ||||
\(41\) | 3575.16 | − | 2597.51i | 0.332151 | − | 0.241322i | −0.409192 | − | 0.912448i | \(-0.634189\pi\) |
0.741343 | + | 0.671126i | \(0.234189\pi\) | |||||||
\(42\) | −8804.06 | − | 2860.61i | −0.770123 | − | 0.250228i | ||||
\(43\) | − | 6359.94i | − | 0.524544i | −0.964994 | − | 0.262272i | \(-0.915528\pi\) | ||
0.964994 | − | 0.262272i | \(-0.0844718\pi\) | |||||||
\(44\) | 881.383 | − | 2712.62i | 0.0686330 | − | 0.211231i | ||||
\(45\) | −5376.63 | + | 3569.49i | −0.395803 | + | 0.262770i | ||||
\(46\) | −3636.24 | − | 11191.2i | −0.253371 | − | 0.779797i | ||||
\(47\) | 2722.41 | − | 884.564i | 0.179766 | − | 0.0584097i | −0.217751 | − | 0.976004i | \(-0.569872\pi\) |
0.397517 | + | 0.917595i | \(0.369872\pi\) | |||||||
\(48\) | 7830.37 | − | 10777.6i | 0.490545 | − | 0.675178i | ||||
\(49\) | −883.190 | −0.0525489 | ||||||||
\(50\) | −12593.9 | + | 14569.4i | −0.712421 | + | 0.824170i | ||||
\(51\) | 856.145 | 0.0460916 | ||||||||
\(52\) | −19.8515 | + | 27.3233i | −0.00101809 | + | 0.00140128i | ||||
\(53\) | 7316.60 | − | 2377.31i | 0.357783 | − | 0.116251i | −0.124610 | − | 0.992206i | \(-0.539768\pi\) |
0.482393 | + | 0.875955i | \(0.339768\pi\) | |||||||
\(54\) | −7709.33 | − | 23726.9i | −0.359776 | − | 1.10728i | ||||
\(55\) | 20898.0 | + | 16575.6i | 0.931532 | + | 0.738859i | ||||
\(56\) | 6591.13 | − | 20285.4i | 0.280860 | − | 0.864398i | ||||
\(57\) | − | 35517.6i | − | 1.44796i | ||||||
\(58\) | 10687.8 | + | 3472.68i | 0.417175 | + | 0.135548i | ||||
\(59\) | −27626.2 | + | 20071.6i | −1.03322 | + | 0.750675i | −0.968950 | − | 0.247257i | \(-0.920471\pi\) |
−0.0642662 | + | 0.997933i | \(0.520471\pi\) | |||||||
\(60\) | −2087.38 | − | 3144.16i | −0.0748553 | − | 0.112753i | ||||
\(61\) | 14309.7 | + | 10396.6i | 0.492385 | + | 0.357739i | 0.806101 | − | 0.591778i | \(-0.201574\pi\) |
−0.313716 | + | 0.949517i | \(0.601574\pi\) | |||||||
\(62\) | 28631.3 | + | 39407.6i | 0.945935 | + | 1.30197i | ||||
\(63\) | −9025.36 | − | 12422.3i | −0.286492 | − | 0.394323i | ||||
\(64\) | 19880.5 | + | 14444.1i | 0.606706 | + | 0.440798i | ||||
\(65\) | −174.693 | − | 263.135i | −0.00512851 | − | 0.00772494i | ||||
\(66\) | −26867.2 | + | 19520.2i | −0.759212 | + | 0.551600i | ||||
\(67\) | −18956.2 | − | 6159.25i | −0.515899 | − | 0.167626i | 0.0394842 | − | 0.999220i | \(-0.487429\pi\) |
−0.555384 | + | 0.831594i | \(0.687429\pi\) | |||||||
\(68\) | − | 453.135i | − | 0.0118838i | ||||||
\(69\) | −6664.00 | + | 20509.7i | −0.168505 | + | 0.518604i | ||||
\(70\) | −35898.8 | − | 28473.7i | −0.875658 | − | 0.694541i | ||||
\(71\) | 8887.15 | + | 27351.8i | 0.209226 | + | 0.643933i | 0.999513 | + | 0.0311958i | \(0.00993155\pi\) |
−0.790287 | + | 0.612737i | \(0.790068\pi\) | |||||||
\(72\) | 17607.5 | − | 5721.01i | 0.400282 | − | 0.130059i | ||||
\(73\) | −45860.1 | + | 63121.0i | −1.00723 | + | 1.38633i | −0.0864438 | + | 0.996257i | \(0.527550\pi\) |
−0.920784 | + | 0.390073i | \(0.872450\pi\) | |||||||
\(74\) | 47134.4 | 1.00060 | ||||||||
\(75\) | 34366.8 | − | 8035.08i | 0.705483 | − | 0.164944i | ||||
\(76\) | −18798.6 | −0.373328 | ||||||||
\(77\) | −37302.7 | + | 51342.7i | −0.716990 | + | 0.986852i | ||||
\(78\) | 373.994 | − | 121.518i | 0.00696030 | − | 0.00226154i | ||||
\(79\) | −25648.1 | − | 78936.9i | −0.462369 | − | 1.42302i | −0.862262 | − | 0.506462i | \(-0.830953\pi\) |
0.399894 | − | 0.916562i | \(-0.369047\pi\) | |||||||
\(80\) | 54934.8 | − | 36470.7i | 0.959672 | − | 0.637116i | ||||
\(81\) | −5459.64 | + | 16803.0i | −0.0924594 | + | 0.284561i | ||||
\(82\) | 27233.4i | 0.447267i | ||||||||
\(83\) | −59929.1 | − | 19472.1i | −0.954866 | − | 0.310255i | −0.210175 | − | 0.977664i | \(-0.567403\pi\) |
−0.744691 | + | 0.667409i | \(0.767403\pi\) | |||||||
\(84\) | 7264.37 | − | 5277.87i | 0.112331 | − | 0.0816132i | ||||
\(85\) | 3971.36 | + | 1478.53i | 0.0596200 | + | 0.0221964i | ||||
\(86\) | 31708.4 | + | 23037.5i | 0.462305 | + | 0.335884i | ||||
\(87\) | −12105.5 | − | 16661.8i | −0.171469 | − | 0.236007i | ||||
\(88\) | −44976.4 | − | 61904.7i | −0.619125 | − | 0.852152i | ||||
\(89\) | 98534.4 | + | 71589.5i | 1.31860 | + | 0.958019i | 0.999949 | + | 0.0101469i | \(0.00322990\pi\) |
0.318651 | + | 0.947872i | \(0.396770\pi\) | |||||||
\(90\) | 1679.47 | − | 39735.7i | 0.0218557 | − | 0.517100i | ||||
\(91\) | 607.956 | − | 441.706i | 0.00769606 | − | 0.00559151i | ||||
\(92\) | 10855.2 | + | 3527.08i | 0.133712 | + | 0.0434456i | ||||
\(93\) | − | 89269.9i | − | 1.07028i | ||||||
\(94\) | −5451.21 | + | 16777.1i | −0.0636317 | + | 0.195838i | ||||
\(95\) | 61337.6 | − | 164754.i | 0.697297 | − | 1.87295i | ||||
\(96\) | 7459.60 | + | 22958.3i | 0.0826110 | + | 0.254250i | ||||
\(97\) | 158311. | − | 51438.3i | 1.70837 | − | 0.555082i | 0.718307 | − | 0.695726i | \(-0.244917\pi\) |
0.990060 | + | 0.140644i | \(0.0449172\pi\) | |||||||
\(98\) | 3199.16 | − | 4403.27i | 0.0336489 | − | 0.0463138i | ||||
\(99\) | −55085.1 | −0.564867 | ||||||||
\(100\) | −4252.76 | − | 18189.5i | −0.0425276 | − | 0.181895i | ||||
\(101\) | −112122. | −1.09367 | −0.546836 | − | 0.837239i | \(-0.684168\pi\) | ||||
−0.546836 | + | 0.837239i | \(0.684168\pi\) | |||||||
\(102\) | −3101.20 | + | 4268.44i | −0.0295141 | + | 0.0406227i | ||||
\(103\) | −101320. | + | 32920.9i | −0.941028 | + | 0.305758i | −0.739065 | − | 0.673635i | \(-0.764732\pi\) |
−0.201963 | + | 0.979393i | \(0.564732\pi\) | |||||||
\(104\) | 279.989 | + | 861.718i | 0.00253839 | + | 0.00781235i | ||||
\(105\) | 22553.4 | + | 80887.3i | 0.199636 | + | 0.715990i | ||||
\(106\) | −14650.4 | + | 45089.3i | −0.126644 | + | 0.389770i | ||||
\(107\) | − | 118507.i | − | 1.00066i | −0.865836 | − | 0.500329i | \(-0.833213\pi\) | ||
0.865836 | − | 0.500329i | \(-0.166787\pi\) | |||||||
\(108\) | 23014.6 | + | 7477.91i | 0.189865 | + | 0.0616909i | ||||
\(109\) | −130645. | + | 94918.9i | −1.05324 | + | 0.765220i | −0.972825 | − | 0.231541i | \(-0.925623\pi\) |
−0.0804105 | + | 0.996762i | \(0.525623\pi\) | |||||||
\(110\) | −158338. | + | 44148.6i | −1.24768 | + | 0.347885i | ||||
\(111\) | −69884.1 | − | 50773.8i | −0.538358 | − | 0.391140i | ||||
\(112\) | 92215.1 | + | 126923.i | 0.694635 | + | 0.956083i | ||||
\(113\) | 139330. | + | 191771.i | 1.02647 | + | 1.41282i | 0.907563 | + | 0.419915i | \(0.137940\pi\) |
0.118910 | + | 0.992905i | \(0.462060\pi\) | |||||||
\(114\) | 177078. | + | 128655.i | 1.27615 | + | 0.927180i | ||||
\(115\) | −66331.4 | + | 83628.7i | −0.467708 | + | 0.589673i | ||||
\(116\) | −8818.67 | + | 6407.14i | −0.0608497 | + | 0.0442099i | ||||
\(117\) | 620.346 | + | 201.563i | 0.00418957 | + | 0.00136127i | ||||
\(118\) | − | 210440.i | − | 1.39130i | ||||||
\(119\) | −3115.65 | + | 9589.00i | −0.0201689 | + | 0.0620734i | ||||
\(120\) | −101157. | − | 4275.49i | −0.641272 | − | 0.0271040i | ||||
\(121\) | 20587.1 | + | 63360.5i | 0.127829 | + | 0.393419i | ||||
\(122\) | −103667. | + | 33683.6i | −0.630583 | + | 0.204889i | ||||
\(123\) | 29336.2 | − | 40377.8i | 0.174840 | − | 0.240646i | ||||
\(124\) | −47248.2 | −0.275950 | ||||||||
\(125\) | 173292. | + | 22078.3i | 0.991981 | + | 0.126384i | ||||
\(126\) | 94625.8 | 0.530986 | ||||||||
\(127\) | 165456. | − | 227731.i | 0.910278 | − | 1.25289i | −0.0567932 | − | 0.998386i | \(-0.518088\pi\) |
0.967072 | − | 0.254505i | \(-0.0819124\pi\) | |||||||
\(128\) | −209075. | + | 67932.7i | −1.12792 | + | 0.366483i | ||||
\(129\) | −22196.4 | − | 68313.4i | −0.117438 | − | 0.361436i | ||||
\(130\) | 1944.68 | + | 82.1940i | 0.0100923 | + | 0.000426562i | ||||
\(131\) | 184.766 | − | 568.650i | 0.000940682 | − | 0.00289512i | −0.950585 | − | 0.310464i | \(-0.899516\pi\) |
0.951526 | + | 0.307569i | \(0.0995155\pi\) | |||||||
\(132\) | − | 32212.8i | − | 0.160914i | ||||||
\(133\) | 397805. | + | 129255.i | 1.95003 | + | 0.633602i | ||||
\(134\) | 99372.7 | − | 72198.5i | 0.478085 | − | 0.347349i | ||||
\(135\) | −140632. | + | 177305.i | −0.664125 | + | 0.837309i | ||||
\(136\) | −9834.89 | − | 7145.46i | −0.0455955 | − | 0.0331271i | ||||
\(137\) | −49159.9 | − | 67662.8i | −0.223774 | − | 0.307998i | 0.682338 | − | 0.731037i | \(-0.260963\pi\) |
−0.906112 | + | 0.423039i | \(0.860963\pi\) | |||||||
\(138\) | −78115.1 | − | 107516.i | −0.349170 | − | 0.480592i | ||||
\(139\) | −9222.31 | − | 6700.40i | −0.0404858 | − | 0.0294146i | 0.567358 | − | 0.823471i | \(-0.307965\pi\) |
−0.607844 | + | 0.794056i | \(0.707965\pi\) | |||||||
\(140\) | 42811.5 | − | 11936.9i | 0.184604 | − | 0.0514721i | ||||
\(141\) | 26154.8 | − | 19002.6i | 0.110791 | − | 0.0804942i | ||||
\(142\) | −168558. | − | 54767.9i | −0.701503 | − | 0.227932i | ||||
\(143\) | − | 2695.89i | − | 0.0110246i | ||||||
\(144\) | −42080.3 | + | 129510.i | −0.169111 | + | 0.520471i | ||||
\(145\) | −27378.9 | − | 98194.2i | −0.108143 | − | 0.387852i | ||||
\(146\) | −148581. | − | 457284.i | −0.576873 | − | 1.77543i | ||||
\(147\) | −9486.52 | + | 3082.36i | −0.0362088 | + | 0.0117649i | ||||
\(148\) | −26873.2 | + | 36987.8i | −0.100848 | + | 0.138805i | ||||
\(149\) | −135902. | −0.501487 | −0.250743 | − | 0.968054i | \(-0.580675\pi\) | ||||
−0.250743 | + | 0.968054i | \(0.580675\pi\) | |||||||
\(150\) | −84426.4 | + | 200446.i | −0.306373 | + | 0.727394i | ||||
\(151\) | 200129. | 0.714278 | 0.357139 | − | 0.934051i | \(-0.383752\pi\) | ||||
0.357139 | + | 0.934051i | \(0.383752\pi\) | |||||||
\(152\) | −296433. | + | 408005.i | −1.04068 | + | 1.43238i | ||||
\(153\) | −8323.13 | + | 2704.35i | −0.0287447 | + | 0.00933972i | ||||
\(154\) | −120856. | − | 371956.i | −0.410644 | − | 1.26383i | ||||
\(155\) | 154166. | − | 414092.i | 0.515417 | − | 1.38442i | ||||
\(156\) | −117.870 | + | 362.767i | −0.000387787 | + | 0.00119348i | ||||
\(157\) | 210170.i | 0.680488i | 0.940337 | + | 0.340244i | \(0.110510\pi\) | ||||
−0.940337 | + | 0.340244i | \(0.889490\pi\) | |||||||
\(158\) | 486456. | + | 158059.i | 1.55025 | + | 0.503706i | ||||
\(159\) | 70292.3 | − | 51070.3i | 0.220503 | − | 0.160205i | ||||
\(160\) | −5045.63 | + | 119378.i | −0.0155817 | + | 0.368658i | ||||
\(161\) | −205461. | − | 149276.i | −0.624691 | − | 0.453864i | ||||
\(162\) | −63997.6 | − | 88085.2i | −0.191592 | − | 0.263703i | ||||
\(163\) | 81179.0 | + | 111733.i | 0.239318 | + | 0.329393i | 0.911734 | − | 0.410780i | \(-0.134744\pi\) |
−0.672417 | + | 0.740173i | \(0.734744\pi\) | |||||||
\(164\) | −21370.9 | − | 15526.9i | −0.0620459 | − | 0.0450790i | ||||
\(165\) | 282319. | + | 105107.i | 0.807291 | + | 0.300553i | ||||
\(166\) | 314161. | − | 228252.i | 0.884876 | − | 0.642900i | ||||
\(167\) | −247479. | − | 80410.7i | −0.686668 | − | 0.223112i | −0.0551555 | − | 0.998478i | \(-0.517565\pi\) |
−0.631512 | + | 0.775366i | \(0.717565\pi\) | |||||||
\(168\) | − | 240893.i | − | 0.658492i | ||||||
\(169\) | 114726. | − | 353090.i | 0.308990 | − | 0.950975i | ||||
\(170\) | −21756.8 | + | 14444.1i | −0.0577395 | + | 0.0383327i | ||||
\(171\) | 112191. | + | 345289.i | 0.293406 | + | 0.903011i | ||||
\(172\) | −36156.5 | + | 11748.0i | −0.0931892 | + | 0.0302790i | ||||
\(173\) | −190901. | + | 262753.i | −0.484946 | + | 0.667471i | −0.979446 | − | 0.201707i | \(-0.935351\pi\) |
0.494500 | + | 0.869178i | \(0.335351\pi\) | |||||||
\(174\) | 126920. | 0.317801 | ||||||||
\(175\) | −35072.1 | + | 414157.i | −0.0865699 | + | 1.02228i | ||||
\(176\) | 562823. | 1.36959 | ||||||||
\(177\) | −226688. | + | 312010.i | −0.543871 | + | 0.748574i | ||||
\(178\) | −713839. | + | 231940.i | −1.68869 | + | 0.548689i | ||||
\(179\) | −126828. | − | 390336.i | −0.295857 | − | 0.910554i | −0.982932 | − | 0.183968i | \(-0.941106\pi\) |
0.687075 | − | 0.726586i | \(-0.258894\pi\) | |||||||
\(180\) | 30224.3 | + | 23972.9i | 0.0695305 | + | 0.0551491i | ||||
\(181\) | −100966. | + | 310741.i | −0.229075 | + | 0.705021i | 0.768777 | + | 0.639517i | \(0.220866\pi\) |
−0.997852 | + | 0.0655044i | \(0.979134\pi\) | |||||||
\(182\) | 4631.03i | 0.0103633i | ||||||||
\(183\) | 189988. | + | 61730.7i | 0.419370 | + | 0.136262i | ||||
\(184\) | 247728. | − | 179985.i | 0.539424 | − | 0.391914i | ||||
\(185\) | −236484. | − | 356209.i | −0.508009 | − | 0.765201i | ||||
\(186\) | 445068. | + | 323361.i | 0.943287 | + | 0.685338i | ||||
\(187\) | 21260.5 | + | 29262.6i | 0.0444601 | + | 0.0611941i | ||||
\(188\) | −10057.6 | − | 13843.1i | −0.0207538 | − | 0.0285652i | ||||
\(189\) | −435607. | − | 316487.i | −0.887034 | − | 0.644468i | ||||
\(190\) | 599222. | + | 902593.i | 1.20421 | + | 1.81388i | ||||
\(191\) | −334916. | + | 243331.i | −0.664283 | + | 0.482630i | −0.868107 | − | 0.496378i | \(-0.834663\pi\) |
0.203824 | + | 0.979008i | \(0.434663\pi\) | |||||||
\(192\) | 263951. | + | 85762.9i | 0.516738 | + | 0.167898i | ||||
\(193\) | − | 224370.i | − | 0.433582i | −0.976218 | − | 0.216791i | \(-0.930441\pi\) | ||
0.976218 | − | 0.216791i | \(-0.0695591\pi\) | |||||||
\(194\) | −316994. | + | 975606.i | −0.604709 | + | 1.86110i | ||||
\(195\) | −2794.76 | − | 2216.71i | −0.00526330 | − | 0.00417466i | ||||
\(196\) | 1631.41 | + | 5020.97i | 0.00303336 | + | 0.00933571i | ||||
\(197\) | −605271. | + | 196665.i | −1.11118 | + | 0.361044i | −0.806395 | − | 0.591377i | \(-0.798585\pi\) |
−0.304785 | + | 0.952421i | \(0.598585\pi\) | |||||||
\(198\) | 199534. | − | 274635.i | 0.361705 | − | 0.497844i | ||||
\(199\) | −975419. | −1.74606 | −0.873029 | − | 0.487669i | \(-0.837847\pi\) | ||||
−0.873029 | + | 0.487669i | \(0.837847\pi\) | |||||||
\(200\) | −461847. | − | 194527.i | −0.816439 | − | 0.343878i | ||||
\(201\) | −225109. | −0.393009 | ||||||||
\(202\) | 406138. | − | 559001.i | 0.700317 | − | 0.963904i | ||||
\(203\) | 230670. | − | 74949.2i | 0.392872 | − | 0.127652i | ||||
\(204\) | −1581.46 | − | 4867.22i | −0.00266061 | − | 0.00818852i | ||||
\(205\) | 205811. | − | 136636.i | 0.342046 | − | 0.227081i | ||||
\(206\) | 202878. | − | 624395.i | 0.333094 | − | 1.02516i | ||||
\(207\) | − | 220437.i | − | 0.357569i | ||||||
\(208\) | −6338.28 | − | 2059.43i | −0.0101581 | − | 0.00330057i | ||||
\(209\) | 1.21398e6 | − | 882005.i | 1.92240 | − | 1.39671i | ||||
\(210\) | −484970. | − | 180554.i | −0.758869 | − | 0.282526i | ||||
\(211\) | −560019. | − | 406878.i | −0.865958 | − | 0.629155i | 0.0635412 | − | 0.997979i | \(-0.479761\pi\) |
−0.929499 | + | 0.368824i | \(0.879761\pi\) | |||||||
\(212\) | −27030.2 | − | 37203.9i | −0.0413056 | − | 0.0568523i | ||||
\(213\) | 190917. | + | 262775.i | 0.288334 | + | 0.396858i | ||||
\(214\) | 590835. | + | 429267.i | 0.881925 | + | 0.640756i | ||||
\(215\) | 15013.5 | − | 355214.i | 0.0221506 | − | 0.524076i | ||||
\(216\) | 525218. | − | 381593.i | 0.765958 | − | 0.556501i | ||||
\(217\) | 999841. | + | 324868.i | 1.44139 | + | 0.468336i | ||||
\(218\) | − | 995171.i | − | 1.41826i | ||||||
\(219\) | −272298. | + | 838049.i | −0.383650 | + | 1.18075i | ||||
\(220\) | 55630.3 | − | 149424.i | 0.0774917 | − | 0.208144i | ||||
\(221\) | −132.352 | − | 407.338i | −0.000182285 | − | 0.000561015i | ||||
\(222\) | 506280. | − | 164500.i | 0.689459 | − | 0.224019i | ||||
\(223\) | −239916. | + | 330217.i | −0.323071 | + | 0.444669i | −0.939402 | − | 0.342818i | \(-0.888618\pi\) |
0.616331 | + | 0.787487i | \(0.288618\pi\) | |||||||
\(224\) | −284284. | −0.378558 | ||||||||
\(225\) | −308721. | + | 186670.i | −0.406546 | + | 0.245821i | ||||
\(226\) | −1.46079e6 | −1.90247 | ||||||||
\(227\) | 549435. | − | 756233.i | 0.707705 | − | 0.974072i | −0.292139 | − | 0.956376i | \(-0.594367\pi\) |
0.999843 | − | 0.0176960i | \(-0.00563309\pi\) | |||||||
\(228\) | −201919. | + | 65607.5i | −0.257241 | + | 0.0835827i | ||||
\(229\) | 235900. | + | 726026.i | 0.297262 | + | 0.914879i | 0.982452 | + | 0.186514i | \(0.0597191\pi\) |
−0.685190 | + | 0.728364i | \(0.740281\pi\) | |||||||
\(230\) | −176672. | − | 633632.i | −0.220216 | − | 0.789801i | ||||
\(231\) | −221488. | + | 681670.i | −0.273099 | + | 0.840513i | ||||
\(232\) | 292435.i | 0.356705i | ||||||||
\(233\) | 451626. | + | 146742.i | 0.544990 | + | 0.177078i | 0.568557 | − | 0.822644i | \(-0.307502\pi\) |
−0.0235662 | + | 0.999722i | \(0.507502\pi\) | |||||||
\(234\) | −3251.99 | + | 2362.71i | −0.00388248 | + | 0.00282079i | ||||
\(235\) | 154140. | − | 42977.9i | 0.182073 | − | 0.0507663i | ||||
\(236\) | 165139. | + | 119980.i | 0.193005 | + | 0.140226i | ||||
\(237\) | −550984. | − | 758364.i | −0.637189 | − | 0.877015i | ||||
\(238\) | −36521.6 | − | 50267.6i | −0.0417933 | − | 0.0575236i | ||||
\(239\) | 963942. | + | 700345.i | 1.09158 | + | 0.793080i | 0.979666 | − | 0.200638i | \(-0.0643013\pi\) |
0.111916 | + | 0.993718i | \(0.464301\pi\) | |||||||
\(240\) | 462783. | − | 583463.i | 0.518619 | − | 0.653861i | ||||
\(241\) | −401562. | + | 291752.i | −0.445359 | + | 0.323572i | −0.787761 | − | 0.615982i | \(-0.788760\pi\) |
0.342402 | + | 0.939554i | \(0.388760\pi\) | |||||||
\(242\) | −390465. | − | 126870.i | −0.428592 | − | 0.139258i | ||||
\(243\) | − | 784193.i | − | 0.851937i | ||||||
\(244\) | 32672.4 | − | 100555.i | 0.0351323 | − | 0.108126i | ||||
\(245\) | −49327.8 | − | 2084.89i | −0.0525020 | − | 0.00221905i | ||||
\(246\) | 95045.3 | + | 292519.i | 0.100137 | + | 0.308189i | ||||
\(247\) | −16898.6 | + | 5490.70i | −0.0176242 | + | 0.00572645i | ||||
\(248\) | −745054. | + | 1.02548e6i | −0.769234 | + | 1.05876i | ||||
\(249\) | −711669. | −0.727411 | ||||||||
\(250\) | −737788. | + | 783999.i | −0.746588 | + | 0.793351i | ||||
\(251\) | 215264. | 0.215668 | 0.107834 | − | 0.994169i | \(-0.465608\pi\) | ||||
0.107834 | + | 0.994169i | \(0.465608\pi\) | |||||||
\(252\) | −53950.0 | + | 74255.8i | −0.0535168 | + | 0.0736596i | ||||
\(253\) | −866497. | + | 281542.i | −0.851071 | + | 0.276530i | ||||
\(254\) | 536057. | + | 1.64981e6i | 0.521347 | + | 1.60454i | ||||
\(255\) | 47817.3 | + | 2021.04i | 0.0460505 | + | 0.00194637i | ||||
\(256\) | 175644. | − | 540575.i | 0.167507 | − | 0.515533i | ||||
\(257\) | 1.05314e6i | 0.994608i | 0.867576 | + | 0.497304i | \(0.165677\pi\) | ||||
−0.867576 | + | 0.497304i | \(0.834323\pi\) | |||||||
\(258\) | 420988. | + | 136787.i | 0.393750 | + | 0.127937i | ||||
\(259\) | 822997. | − | 597942.i | 0.762340 | − | 0.553872i | ||||
\(260\) | −1173.24 | + | 1479.19i | −0.00107635 | + | 0.00135704i | ||||
\(261\) | 170316. | + | 123742.i | 0.154758 | + | 0.112439i | ||||
\(262\) | 2165.81 | + | 2980.99i | 0.00194925 | + | 0.00268291i | ||||
\(263\) | 21083.5 | + | 29019.0i | 0.0187955 | + | 0.0258698i | 0.818311 | − | 0.574775i | \(-0.194911\pi\) |
−0.799516 | + | 0.600645i | \(0.794911\pi\) | |||||||
\(264\) | −699150. | − | 507962.i | −0.617391 | − | 0.448561i | ||||
\(265\) | 414258. | − | 115505.i | 0.362373 | − | 0.101039i | ||||
\(266\) | −2.08538e6 | + | 1.51512e6i | −1.80709 | + | 1.31293i | ||||
\(267\) | 1.30823e6 | + | 425069.i | 1.12307 | + | 0.364906i | ||||
\(268\) | 119144.i | 0.101330i | ||||||||
\(269\) | 22803.5 | − | 70181.8i | 0.0192141 | − | 0.0591349i | −0.940990 | − | 0.338435i | \(-0.890102\pi\) |
0.960204 | + | 0.279300i | \(0.0901025\pi\) | |||||||
\(270\) | −374570. | − | 1.34339e6i | −0.312697 | − | 1.12148i | ||||
\(271\) | −59998.6 | − | 184657.i | −0.0496270 | − | 0.152736i | 0.923172 | − | 0.384387i | \(-0.125587\pi\) |
−0.972799 | + | 0.231651i | \(0.925587\pi\) | |||||||
\(272\) | 85040.1 | − | 27631.2i | 0.0696950 | − | 0.0226453i | ||||
\(273\) | 4988.61 | − | 6866.23i | 0.00405110 | − | 0.00557586i | ||||
\(274\) | 515414. | 0.414744 | ||||||||
\(275\) | 1.12806e6 | + | 975108.i | 0.899501 | + | 0.777537i | ||||
\(276\) | 128908. | 0.101861 | ||||||||
\(277\) | 865081. | − | 1.19068e6i | 0.677419 | − | 0.932387i | −0.322480 | − | 0.946576i | \(-0.604517\pi\) |
0.999899 | + | 0.0141889i | \(0.00451660\pi\) | |||||||
\(278\) | 66811.6 | − | 21708.4i | 0.0518490 | − | 0.0168468i | ||||
\(279\) | 281981. | + | 867849.i | 0.216875 | + | 0.667473i | ||||
\(280\) | 416013. | − | 1.11742e6i | 0.317111 | − | 0.851766i | ||||
\(281\) | 126949. | − | 390709.i | 0.0959099 | − | 0.295180i | −0.891580 | − | 0.452864i | \(-0.850402\pi\) |
0.987490 | + | 0.157683i | \(0.0504025\pi\) | |||||||
\(282\) | 199231.i | 0.149188i | ||||||||
\(283\) | −1.23372e6 | − | 400859.i | −0.915691 | − | 0.297526i | −0.186993 | − | 0.982361i | \(-0.559874\pi\) |
−0.728698 | + | 0.684835i | \(0.759874\pi\) | |||||||
\(284\) | 139080. | − | 101048.i | 0.102322 | − | 0.0743413i | ||||
\(285\) | 83844.1 | − | 1.98372e6i | 0.0611449 | − | 1.44667i | ||||
\(286\) | 13440.8 | + | 9765.29i | 0.00971649 | + | 0.00705944i | ||||
\(287\) | 345480. | + | 475512.i | 0.247581 | + | 0.340767i | ||||
\(288\) | −145039. | − | 199629.i | −0.103039 | − | 0.141822i | ||||
\(289\) | −1.14404e6 | − | 831193.i | −0.805743 | − | 0.585406i | ||||
\(290\) | 588736. | + | 219185.i | 0.411079 | + | 0.153044i | ||||
\(291\) | 1.52093e6 | − | 1.10502e6i | 1.05287 | − | 0.764957i | ||||
\(292\) | 443557. | + | 144120.i | 0.304434 | + | 0.0989165i | ||||
\(293\) | − | 1.97807e6i | − | 1.34609i | −0.739603 | − | 0.673043i | \(-0.764987\pi\) | ||
0.739603 | − | 0.673043i | \(-0.235013\pi\) | |||||||
\(294\) | 18995.3 | − | 58461.6i | 0.0128168 | − | 0.0394460i | ||||
\(295\) | −1.59036e6 | + | 1.05582e6i | −1.06399 | + | 0.706375i | ||||
\(296\) | 379025. | + | 1.16652e6i | 0.251442 | + | 0.773860i | ||||
\(297\) | −1.83710e6 | + | 596909.i | −1.20848 | + | 0.392660i | ||||
\(298\) | 492275. | − | 677558.i | 0.321120 | − | 0.441983i | ||||
\(299\) | 10788.3 | 0.00697872 | ||||||||
\(300\) | −109162. | − | 180535.i | −0.0700272 | − | 0.115813i | ||||
\(301\) | 845901. | 0.538150 | ||||||||
\(302\) | −724923. | + | 997771.i | −0.457377 | + | 0.629526i | ||||
\(303\) | −1.20433e6 | + | 391309.i | −0.753594 | + | 0.244857i | ||||
\(304\) | −1.14630e6 | − | 3.52793e6i | −0.711398 | − | 2.18946i | ||||
\(305\) | 774679. | + | 614448.i | 0.476839 | + | 0.378212i | ||||
\(306\) | 16665.8 | − | 51292.1i | 0.0101747 | − | 0.0313146i | ||||
\(307\) | − | 1.00536e6i | − | 0.608804i | −0.952544 | − | 0.304402i | \(-0.901543\pi\) | ||
0.952544 | − | 0.304402i | \(-0.0984567\pi\) | |||||||
\(308\) | 360790. | + | 117228.i | 0.216709 | + | 0.0704132i | ||||
\(309\) | −973405. | + | 707220.i | −0.579959 | + | 0.421365i | ||||
\(310\) | 1.50608e6 | + | 2.26857e6i | 0.890112 | + | 1.34075i | ||||
\(311\) | 2.02365e6 | + | 1.47027e6i | 1.18641 | + | 0.861977i | 0.992880 | − | 0.119118i | \(-0.0380066\pi\) |
0.193529 | + | 0.981095i | \(0.438007\pi\) | |||||||
\(312\) | 6014.84 | + | 8278.72i | 0.00349815 | + | 0.00481478i | ||||
\(313\) | 54088.7 | + | 74446.7i | 0.0312066 | + | 0.0429521i | 0.824335 | − | 0.566102i | \(-0.191549\pi\) |
−0.793129 | + | 0.609054i | \(0.791549\pi\) | |||||||
\(314\) | −1.04783e6 | − | 761294.i | −0.599746 | − | 0.435741i | ||||
\(315\) | −474758. | − | 715116.i | −0.269585 | − | 0.406069i | ||||
\(316\) | −401383. | + | 291621.i | −0.226121 | + | 0.164286i | ||||
\(317\) | −2.30664e6 | − | 749474.i | −1.28924 | − | 0.418898i | −0.417412 | − | 0.908717i | \(-0.637063\pi\) |
−0.871824 | + | 0.489819i | \(0.837063\pi\) | |||||||
\(318\) | 535444.i | 0.296924i | ||||||||
\(319\) | 268878. | − | 827522.i | 0.147938 | − | 0.455305i | ||||
\(320\) | 1.07627e6 | + | 853657.i | 0.587550 | + | 0.466024i | ||||
\(321\) | −413594. | − | 1.27291e6i | −0.224033 | − | 0.689502i | ||||
\(322\) | 1.48848e6 | − | 483636.i | 0.800023 | − | 0.259943i | ||||
\(323\) | 140125. | − | 192866.i | 0.0747326 | − | 0.102861i | ||||
\(324\) | 105611. | 0.0558915 | ||||||||
\(325\) | −9135.74 | − | 15109.0i | −0.00479773 | − | 0.00793462i | ||||
\(326\) | −851116. | −0.443552 | ||||||||
\(327\) | −1.07201e6 | + | 1.47550e6i | −0.554409 | + | 0.763078i | ||||
\(328\) | −673993. | + | 218994.i | −0.345916 | + | 0.112395i | ||||
\(329\) | 117651. | + | 362093.i | 0.0599247 | + | 0.184429i | ||||
\(330\) | −1.54666e6 | + | 1.02681e6i | −0.781828 | + | 0.519048i | ||||
\(331\) | −223095. | + | 686616.i | −0.111923 | + | 0.344464i | −0.991293 | − | 0.131675i | \(-0.957964\pi\) |
0.879370 | + | 0.476140i | \(0.157964\pi\) | |||||||
\(332\) | 376668.i | 0.187548i | ||||||||
\(333\) | 839769. | + | 272858.i | 0.415001 | + | 0.134842i | ||||
\(334\) | 1.29734e6 | − | 942571.i | 0.636336 | − | 0.462326i | ||||
\(335\) | −1.04420e6 | − | 388754.i | −0.508361 | − | 0.189262i | ||||
\(336\) | 1.43347e6 | + | 1.04147e6i | 0.692691 | + | 0.503269i | ||||
\(337\) | 667743. | + | 919069.i | 0.320283 | + | 0.440832i | 0.938554 | − | 0.345133i | \(-0.112166\pi\) |
−0.618270 | + | 0.785966i | \(0.712166\pi\) | |||||||
\(338\) | 1.34481e6 | + | 1.85098e6i | 0.640280 | + | 0.881270i | ||||
\(339\) | 2.16586e6 | + | 1.57359e6i | 1.02360 | + | 0.743689i | ||||
\(340\) | 1069.69 | − | 25308.4i | 0.000501833 | − | 0.0118732i | ||||
\(341\) | 3.05120e6 | − | 2.21683e6i | 1.42097 | − | 1.03239i | ||||
\(342\) | −2.12788e6 | − | 691390.i | −0.983743 | − | 0.319637i | ||||
\(343\) | 2.11794e6i | 0.972026i | ||||||||
\(344\) | −315171. | + | 969997.i | −0.143599 | + | 0.441951i | ||||
\(345\) | −420612. | + | 1.12977e6i | −0.190254 | + | 0.511026i | ||||
\(346\) | −618495. | − | 1.90353e6i | −0.277745 | − | 0.854810i | ||||
\(347\) | 549226. | − | 178454.i | 0.244865 | − | 0.0795616i | −0.184013 | − | 0.982924i | \(-0.558909\pi\) |
0.428878 | + | 0.903362i | \(0.358909\pi\) | |||||||
\(348\) | −72362.1 | + | 99597.8i | −0.0320304 | + | 0.0440861i | ||||
\(349\) | 641767. | 0.282042 | 0.141021 | − | 0.990007i | \(-0.454962\pi\) | ||||
0.141021 | + | 0.990007i | \(0.454962\pi\) | |||||||
\(350\) | −1.93780e6 | − | 1.67505e6i | −0.845548 | − | 0.730899i | ||||
\(351\) | 22872.8 | 0.00990948 | ||||||||
\(352\) | −599460. | + | 825086.i | −0.257872 | + | 0.354930i | ||||
\(353\) | 4.41203e6 | − | 1.43356e6i | 1.88453 | − | 0.612320i | 0.900338 | − | 0.435191i | \(-0.143319\pi\) |
0.984188 | − | 0.177129i | \(-0.0566808\pi\) | |||||||
\(354\) | −734440. | − | 2.26037e6i | −0.311493 | − | 0.958677i | ||||
\(355\) | 431796. | + | 1.54863e6i | 0.181848 | + | 0.652194i | ||||
\(356\) | 224978. | − | 692411.i | 0.0940838 | − | 0.289560i | ||||
\(357\) | 113871.i | 0.0472871i | ||||||||
\(358\) | 2.40548e6 | + | 781588.i | 0.991960 | + | 0.322307i | ||||
\(359\) | −2.69985e6 | + | 1.96156e6i | −1.10562 | + | 0.803277i | −0.981968 | − | 0.189049i | \(-0.939459\pi\) |
−0.123648 | + | 0.992326i | \(0.539459\pi\) | |||||||
\(360\) | 996915. | − | 277964.i | 0.405417 | − | 0.113040i | ||||
\(361\) | −5.99794e6 | − | 4.35776e6i | −2.42233 | − | 1.75993i | ||||
\(362\) | −1.18352e6 | − | 1.62897e6i | −0.474683 | − | 0.653345i | ||||
\(363\) | 442260. | + | 608718.i | 0.176161 | + | 0.242465i | ||||
\(364\) | −3634.12 | − | 2640.34i | −0.00143762 | − | 0.00104450i | ||||
\(365\) | −2.71037e6 | + | 3.41716e6i | −1.06487 | + | 1.34256i | ||||
\(366\) | −995956. | + | 723604.i | −0.388631 | + | 0.282357i | ||||
\(367\) | 292376. | + | 94998.7i | 0.113312 | + | 0.0368173i | 0.365124 | − | 0.930959i | \(-0.381027\pi\) |
−0.251812 | + | 0.967776i | \(0.581027\pi\) | |||||||
\(368\) | 2.25228e6i | 0.866968i | ||||||||
\(369\) | −157652. | + | 485203.i | −0.0602745 | + | 0.185506i | ||||
\(370\) | 2.63254e6 | + | 111267.i | 0.999703 | + | 0.0422534i | ||||
\(371\) | 316193. | + | 973141.i | 0.119266 | + | 0.367063i | ||||
\(372\) | −507503. | + | 164898.i | −0.190143 | + | 0.0617813i | ||||
\(373\) | −921023. | + | 1.26768e6i | −0.342767 | + | 0.471778i | −0.945247 | − | 0.326356i | \(-0.894179\pi\) |
0.602480 | + | 0.798134i | \(0.294179\pi\) | |||||||
\(374\) | −222905. | −0.0824025 | ||||||||
\(375\) | 1.93842e6 | − | 367647.i | 0.711819 | − | 0.135006i | ||||
\(376\) | −459048. | −0.167451 | ||||||||
\(377\) | −6055.99 | + | 8335.35i | −0.00219448 | + | 0.00302044i | ||||
\(378\) | 3.15578e6 | − | 1.02538e6i | 1.13600 | − | 0.369108i | ||||
\(379\) | 76672.7 | + | 235974.i | 0.0274184 | + | 0.0843852i | 0.963829 | − | 0.266520i | \(-0.0858739\pi\) |
−0.936411 | + | 0.350905i | \(0.885874\pi\) | |||||||
\(380\) | −1.04993e6 | − | 44376.5i | −0.372995 | − | 0.0157650i | ||||
\(381\) | 982413. | − | 3.02356e6i | 0.346722 | − | 1.06710i | ||||
\(382\) | − | 2.55119e6i | − | 0.894508i | ||||||
\(383\) | −4.38593e6 | − | 1.42508e6i | −1.52780 | − | 0.496411i | −0.579817 | − | 0.814746i | \(-0.696876\pi\) |
−0.947978 | + | 0.318336i | \(0.896876\pi\) | |||||||
\(384\) | −2.00863e6 | + | 1.45936e6i | −0.695140 | + | 0.505049i | ||||
\(385\) | −2.20462e6 | + | 2.77953e6i | −0.758023 | + | 0.955694i | ||||
\(386\) | 1.11863e6 | + | 812732.i | 0.382136 | + | 0.277638i | ||||
\(387\) | 431570. | + | 594005.i | 0.146479 | + | 0.201610i | ||||
\(388\) | −584858. | − | 804988.i | −0.197229 | − | 0.271463i | ||||
\(389\) | −724796. | − | 526595.i | −0.242852 | − | 0.176442i | 0.459701 | − | 0.888074i | \(-0.347957\pi\) |
−0.702553 | + | 0.711631i | \(0.747957\pi\) | |||||||
\(390\) | 21175.1 | − | 5904.14i | 0.00704960 | − | 0.00196560i | ||||
\(391\) | −117102. | + | 85079.6i | −0.0387367 | + | 0.0281438i | ||||
\(392\) | 134701. | + | 43767.1i | 0.0442748 | + | 0.0143857i | ||||
\(393\) | − | 6752.82i | − | 0.00220548i | ||||||
\(394\) | 1.21196e6 | − | 3.73004e6i | 0.393323 | − | 1.21052i | ||||
\(395\) | −1.24616e6 | − | 4.46932e6i | −0.401864 | − | 1.44128i | ||||
\(396\) | 101752. | + | 313161.i | 0.0326066 | + | 0.100353i | ||||
\(397\) | −742671. | + | 241309.i | −0.236494 | + | 0.0768416i | −0.424866 | − | 0.905256i | \(-0.639679\pi\) |
0.188372 | + | 0.982098i | \(0.439679\pi\) | |||||||
\(398\) | 3.53324e6 | − | 4.86309e6i | 1.11806 | − | 1.53888i | ||||
\(399\) | 4.72400e6 | 1.48552 | ||||||||
\(400\) | 3.15430e6 | − | 1.90727e6i | 0.985720 | − | 0.596023i | ||||
\(401\) | 4.19405e6 | 1.30249 | 0.651243 | − | 0.758869i | \(-0.274248\pi\) | ||||
0.651243 | + | 0.758869i | \(0.274248\pi\) | |||||||
\(402\) | 815408. | − | 1.12231e6i | 0.251657 | − | 0.346377i | ||||
\(403\) | −42472.9 | + | 13800.3i | −0.0130272 | + | 0.00423278i | ||||
\(404\) | 207110. | + | 637418.i | 0.0631316 | + | 0.194299i | ||||
\(405\) | −344597. | + | 925592.i | −0.104393 | + | 0.280403i | ||||
\(406\) | −461882. | + | 1.42153e6i | −0.139064 | + | 0.427996i | ||||
\(407\) | − | 3.64946e6i | − | 1.09205i | ||||||
\(408\) | −130576. | − | 42426.9i | −0.0388342 | − | 0.0126180i | ||||
\(409\) | −1.00773e6 | + | 732160.i | −0.297877 | + | 0.216420i | −0.726677 | − | 0.686979i | \(-0.758936\pi\) |
0.428800 | + | 0.903399i | \(0.358936\pi\) | |||||||
\(410\) | −64288.0 | + | 1.52103e6i | −0.0188873 | + | 0.446868i | ||||
\(411\) | −764182. | − | 555211.i | −0.223148 | − | 0.162126i | ||||
\(412\) | 374313. | + | 515198.i | 0.108641 | + | 0.149531i | ||||
\(413\) | −2.66961e6 | − | 3.67441e6i | −0.770146 | − | 1.06002i | ||||
\(414\) | 1.09902e6 | + | 798487.i | 0.315142 | + | 0.228964i | ||||
\(415\) | −3.30118e6 | − | 1.22903e6i | −0.940912 | − | 0.350300i | ||||
\(416\) | 9769.95 | − | 7098.28i | 0.00276795 | − | 0.00201104i | ||||
\(417\) | −122443. | − | 39784.2i | −0.0344822 | − | 0.0112039i | ||||
\(418\) | 9.24732e6i | 2.58866i | ||||||||
\(419\) | 1.15352e6 | − | 3.55018e6i | 0.320990 | − | 0.987904i | −0.652229 | − | 0.758022i | \(-0.726166\pi\) |
0.973218 | − | 0.229882i | \(-0.0738341\pi\) | |||||||
\(420\) | 418187. | − | 277630.i | 0.115677 | − | 0.0767969i | ||||
\(421\) | 950932. | + | 2.92667e6i | 0.261484 | + | 0.804764i | 0.992483 | + | 0.122385i | \(0.0390543\pi\) |
−0.730999 | + | 0.682378i | \(0.760946\pi\) | |||||||
\(422\) | 4.05710e6 | − | 1.31823e6i | 1.10901 | − | 0.360338i | ||||
\(423\) | −194243. | + | 267352.i | −0.0527830 | + | 0.0726496i | ||||
\(424\) | −1.23371e6 | −0.333273 | ||||||||
\(425\) | 218317. | + | 91953.5i | 0.0586295 | + | 0.0246943i | ||||
\(426\) | −2.00166e6 | −0.534400 | ||||||||
\(427\) | −1.38279e6 | + | 1.90325e6i | −0.367018 | + | 0.505157i | ||||
\(428\) | −673718. | + | 218904.i | −0.177774 | + | 0.0577624i | ||||
\(429\) | −9408.75 | − | 28957.2i | −0.00246825 | − | 0.00759649i | ||||
\(430\) | 1.71659e6 | + | 1.36154e6i | 0.447709 | + | 0.355107i | ||||
\(431\) | −1.66061e6 | + | 5.11082e6i | −0.430599 | + | 1.32525i | 0.466930 | + | 0.884294i | \(0.345360\pi\) |
−0.897530 | + | 0.440954i | \(0.854640\pi\) | |||||||
\(432\) | 4.77516e6i | 1.23106i | ||||||||
\(433\) | −3.09823e6 | − | 1.00668e6i | −0.794135 | − | 0.258030i | −0.116271 | − | 0.993218i | \(-0.537094\pi\) |
−0.677864 | + | 0.735187i | \(0.737094\pi\) | |||||||
\(434\) | −5.24138e6 | + | 3.80809e6i | −1.33574 | + | 0.970471i | ||||
\(435\) | −636783. | − | 959170.i | −0.161350 | − | 0.243037i | ||||
\(436\) | 780942. | + | 567388.i | 0.196745 | + | 0.142943i | ||||
\(437\) | 3.52957e6 | + | 4.85804e6i | 0.884134 | + | 1.21691i | ||||
\(438\) | −3.19187e6 | − | 4.39323e6i | −0.794987 | − | 1.09421i | ||||
\(439\) | 2.15931e6 | + | 1.56883e6i | 0.534753 | + | 0.388521i | 0.822133 | − | 0.569296i | \(-0.192784\pi\) |
−0.287380 | + | 0.957817i | \(0.592784\pi\) | |||||||
\(440\) | −2.36588e6 | − | 3.56366e6i | −0.582587 | − | 0.877536i | ||||
\(441\) | 82488.1 | − | 59931.1i | 0.0201974 | − | 0.0146742i | ||||
\(442\) | 2510.26 | + | 815.633i | 0.000611171 | + | 0.000198582i | ||||
\(443\) | − | 1.78324e6i | − | 0.431718i | −0.976425 | − | 0.215859i | \(-0.930745\pi\) | ||
0.976425 | − | 0.215859i | \(-0.0692551\pi\) | |||||||
\(444\) | −159562. | + | 491082.i | −0.0384125 | + | 0.118222i | ||||
\(445\) | 5.33433e6 | + | 4.23101e6i | 1.27697 | + | 1.01285i | ||||
\(446\) | −777298. | − | 2.39228e6i | −0.185034 | − | 0.569475i | ||||
\(447\) | −1.45975e6 | + | 474301.i | −0.345549 | + | 0.112276i | ||||
\(448\) | −1.92112e6 | + | 2.64420e6i | −0.452231 | + | 0.622442i | ||||
\(449\) | −2.67149e6 | −0.625371 | −0.312685 | − | 0.949857i | \(-0.601229\pi\) | ||||
−0.312685 | + | 0.949857i | \(0.601229\pi\) | |||||||
\(450\) | 187603. | − | 2.21535e6i | 0.0436725 | − | 0.515716i | ||||
\(451\) | 2.10859e6 | 0.488148 | ||||||||
\(452\) | 832858. | − | 1.14633e6i | 0.191745 | − | 0.263915i | ||||
\(453\) | 2.14962e6 | − | 698455.i | 0.492172 | − | 0.159916i | ||||
\(454\) | 1.78010e6 | + | 5.47858e6i | 0.405326 | + | 1.24747i | ||||
\(455\) | 34998.1 | − | 23234.9i | 0.00792531 | − | 0.00526153i | ||||
\(456\) | −1.76010e6 | + | 5.41703e6i | −0.396392 | + | 1.21997i | ||||
\(457\) | 1.47635e6i | 0.330672i | 0.986237 | + | 0.165336i | \(0.0528709\pi\) | ||||
−0.986237 | + | 0.165336i | \(0.947129\pi\) | |||||||
\(458\) | −4.47421e6 | − | 1.45376e6i | −0.996672 | − | 0.323838i | ||||
\(459\) | −248273. | + | 180381.i | −0.0550044 | + | 0.0399630i | ||||
\(460\) | 597959. | + | 222619.i | 0.131758 | + | 0.0490533i | ||||
\(461\) | 476460. | + | 346169.i | 0.104418 | + | 0.0758639i | 0.638769 | − | 0.769399i | \(-0.279444\pi\) |
−0.534351 | + | 0.845263i | \(0.679444\pi\) | |||||||
\(462\) | −2.59627e6 | − | 3.57346e6i | −0.565907 | − | 0.778905i | ||||
\(463\) | −260712. | − | 358839.i | −0.0565208 | − | 0.0777943i | 0.779821 | − | 0.626003i | \(-0.215310\pi\) |
−0.836342 | + | 0.548208i | \(0.815310\pi\) | |||||||
\(464\) | −1.74017e6 | − | 1.26431e6i | −0.375230 | − | 0.272621i | ||||
\(465\) | 210733. | − | 4.98589e6i | 0.0451961 | − | 1.06933i | ||||
\(466\) | −2.36752e6 | + | 1.72010e6i | −0.505044 | + | 0.366936i | ||||
\(467\) | 1.92257e6 | + | 624680.i | 0.407933 | + | 0.132546i | 0.505793 | − | 0.862655i | \(-0.331200\pi\) |
−0.0978602 | + | 0.995200i | \(0.531200\pi\) | |||||||
\(468\) | − | 3899.01i | − | 0.000822887i | ||||||
\(469\) | 819208. | − | 2.52126e6i | 0.171974 | − | 0.529281i | ||||
\(470\) | −344065. | + | 924164.i | −0.0718449 | + | 0.192976i | ||||
\(471\) | 733498. | + | 2.25747e6i | 0.152351 | + | 0.468889i | ||||
\(472\) | 5.20812e6 | − | 1.69222e6i | 1.07603 | − | 0.349625i | ||||
\(473\) | 1.78372e6 | − | 2.45508e6i | 0.366584 | − | 0.504560i | ||||
\(474\) | 5.77676e6 | 1.18097 | ||||||||
\(475\) | 3.81474e6 | − | 9.05701e6i | 0.775766 | − | 1.84183i | ||||
\(476\) | 60269.0 | 0.0121921 | ||||||||
\(477\) | −522037. | + | 718523.i | −0.105052 | + | 0.144592i | ||||
\(478\) | −6.98334e6 | + | 2.26903e6i | −1.39796 | + | 0.454223i | ||||
\(479\) | −1.02104e6 | − | 3.14242e6i | −0.203330 | − | 0.625786i | −0.999778 | − | 0.0210786i | \(-0.993290\pi\) |
0.796448 | − | 0.604708i | \(-0.206710\pi\) | |||||||
\(480\) | 362436. | + | 1.29987e6i | 0.0718007 | + | 0.257512i | ||||
\(481\) | −13353.8 | + | 41098.7i | −0.00263173 | + | 0.00809964i | ||||
\(482\) | − | 3.05885e6i | − | 0.599710i | ||||||
\(483\) | −2.72788e6 | − | 886342.i | −0.532056 | − | 0.172875i | ||||
\(484\) | 322179. | − | 234077.i | 0.0625149 | − | 0.0454197i | ||||
\(485\) | 8.96338e6 | − | 2.49921e6i | 1.73028 | − | 0.482446i | ||||
\(486\) | 3.90971e6 | + | 2.84057e6i | 0.750851 | + | 0.545525i | ||||
\(487\) | 3.36978e6 | + | 4.63811e6i | 0.643842 | + | 0.886173i | 0.998813 | − | 0.0487044i | \(-0.0155092\pi\) |
−0.354971 | + | 0.934877i | \(0.615509\pi\) | |||||||
\(488\) | −1.66725e6 | − | 2.29478e6i | −0.316922 | − | 0.436206i | ||||
\(489\) | 1.26191e6 | + | 916834.i | 0.238648 | + | 0.173388i | ||||
\(490\) | 189074. | − | 238379.i | 0.0355747 | − | 0.0448515i | ||||
\(491\) | −3.27394e6 | + | 2.37866e6i | −0.612868 | + | 0.445275i | −0.850423 | − | 0.526099i | \(-0.823654\pi\) |
0.237555 | + | 0.971374i | \(0.423654\pi\) | |||||||
\(492\) | −283738. | − | 92192.2i | −0.0528452 | − | 0.0171704i | ||||
\(493\) | − | 138235.i | − | 0.0256154i | ||||||
\(494\) | 33837.0 | − | 104139.i | 0.00623841 | − | 0.0191999i | ||||
\(495\) | −3.07661e6 | − | 130036.i | −0.564364 | − | 0.0238534i | ||||
\(496\) | −2.88109e6 | − | 8.86710e6i | −0.525840 | − | 1.61837i | ||||
\(497\) | −3.63792e6 | + | 1.18203e6i | −0.660635 | + | 0.214653i | ||||
\(498\) | 2.57787e6 | − | 3.54813e6i | 0.465787 | − | 0.641100i | ||||
\(499\) | 9.95489e6 | 1.78972 | 0.894860 | − | 0.446346i | \(-0.147275\pi\) | ||||
0.894860 | + | 0.446346i | \(0.147275\pi\) | |||||||
\(500\) | −194586. | − | 1.02595e6i | −0.0348086 | − | 0.183528i | ||||
\(501\) | −2.93886e6 | −0.523099 | ||||||||
\(502\) | −779747. | + | 1.07323e6i | −0.138100 | + | 0.190079i | ||||
\(503\) | 841757. | − | 273504.i | 0.148343 | − | 0.0481995i | −0.233904 | − | 0.972260i | \(-0.575150\pi\) |
0.382247 | + | 0.924060i | \(0.375150\pi\) | |||||||
\(504\) | 760920. | + | 2.34187e6i | 0.133433 | + | 0.410664i | ||||
\(505\) | −6.26222e6 | − | 264679.i | −1.09270 | − | 0.0461839i | ||||
\(506\) | 1.73503e6 | − | 5.33987e6i | 0.301253 | − | 0.927160i | ||||
\(507\) | − | 4.19301e6i | − | 0.724446i | ||||||
\(508\) | −1.60029e6 | − | 519965.i | −0.275131 | − | 0.0893954i | ||||
\(509\) | 642286. | − | 466648.i | 0.109884 | − | 0.0798354i | −0.531486 | − | 0.847067i | \(-0.678366\pi\) |
0.641370 | + | 0.767232i | \(0.278366\pi\) | |||||||
\(510\) | −183284. | + | 231079.i | −0.0312032 | + | 0.0393401i | ||||
\(511\) | −8.39537e6 | − | 6.09960e6i | −1.42229 | − | 1.03335i | ||||
\(512\) | −2.07601e6 | − | 2.85739e6i | −0.349990 | − | 0.481719i | ||||
\(513\) | 7.48319e6 | + | 1.02997e7i | 1.25543 | + | 1.72795i | ||||
\(514\) | −5.25057e6 | − | 3.81476e6i | −0.876594 | − | 0.636883i | ||||
\(515\) | −5.73663e6 | + | 1.59951e6i | −0.953100 | + | 0.265748i | ||||
\(516\) | −347364. | + | 252375.i | −0.0574329 | + | 0.0417274i | ||||
\(517\) | 1.29900e6 | + | 422070.i | 0.213738 | + | 0.0694477i | ||||
\(518\) | 6.26909e6i | 1.02655i | ||||||||
\(519\) | −1.13349e6 | + | 3.48853e6i | −0.184714 | + | 0.568492i | ||||
\(520\) | 13603.7 | + | 48789.5i | 0.00220622 | + | 0.00791258i | ||||
\(521\) | 2.90709e6 | + | 8.94711e6i | 0.469207 | + | 1.44407i | 0.853614 | + | 0.520907i | \(0.174406\pi\) |
−0.384407 | + | 0.923164i | \(0.625594\pi\) | |||||||
\(522\) | −1.23387e6 | + | 400907.i | −0.198195 | + | 0.0643973i | ||||
\(523\) | 1.47225e6 | − | 2.02638e6i | 0.235357 | − | 0.323942i | −0.674959 | − | 0.737856i | \(-0.735839\pi\) |
0.910316 | + | 0.413914i | \(0.135839\pi\) | |||||||
\(524\) | −3574.09 | −0.000568640 | ||||||||
\(525\) | 1.06870e6 | + | 4.57094e6i | 0.169223 | + | 0.723782i | ||||
\(526\) | −221049. | −0.0348356 | ||||||||
\(527\) | 352190. | − | 484749.i | 0.0552397 | − | 0.0760309i | ||||
\(528\) | 6.04540e6 | − | 1.96427e6i | 0.943713 | − | 0.306631i | ||||
\(529\) | 862276. | + | 2.65381e6i | 0.133970 | + | 0.412317i | ||||
\(530\) | −924691. | + | 2.48373e6i | −0.142990 | + | 0.384075i | ||||
\(531\) | 1.21822e6 | − | 3.74929e6i | 0.187495 | − | 0.577050i | ||||
\(532\) | − | 2.50029e6i | − | 0.383011i | ||||||
\(533\) | −23746.1 | − | 7715.57i | −0.00362055 | − | 0.00117639i | ||||
\(534\) | −6.85802e6 | + | 4.98264e6i | −1.04075 | + | 0.756147i | ||||
\(535\) | 279752. | − | 6.61884e6i | 0.0422560 | − | 0.999765i | ||||
\(536\) | 2.58592e6 | + | 1.87878e6i | 0.388779 | + | 0.282464i | ||||
\(537\) | −2.72457e6 | − | 3.75004e6i | −0.407720 | − | 0.561178i | ||||
\(538\) | 267301. | + | 367908.i | 0.0398148 | + | 0.0548004i | ||||
\(539\) | −340931. | − | 247701.i | −0.0505469 | − | 0.0367245i | ||||
\(540\) | 1.26776e6 | + | 471984.i | 0.187091 | + | 0.0696535i | ||||
\(541\) | 3.47912e6 | − | 2.52773e6i | 0.511065 | − | 0.371311i | −0.302162 | − | 0.953256i | \(-0.597708\pi\) |
0.813227 | + | 0.581946i | \(0.197708\pi\) | |||||||
\(542\) | 1.13797e6 | + | 369748.i | 0.166391 | + | 0.0540639i | ||||
\(543\) | 3.69011e6i | 0.537081i | ||||||||
\(544\) | −50069.1 | + | 154097.i | −0.00725391 | + | 0.0223253i | ||||
\(545\) | −7.52081e6 | + | 4.99299e6i | −1.08461 | + | 0.720062i | ||||
\(546\) | 16162.4 | + | 49742.9i | 0.00232020 | + | 0.00714084i | ||||
\(547\) | 6.17910e6 | − | 2.00771e6i | 0.882993 | − | 0.286902i | 0.167793 | − | 0.985822i | \(-0.446336\pi\) |
0.715199 | + | 0.698920i | \(0.246336\pi\) | |||||||
\(548\) | −293858. | + | 404461.i | −0.0418010 | + | 0.0575342i | ||||
\(549\) | −2.04198e6 | −0.289148 | ||||||||
\(550\) | −8.94771e6 | + | 2.09200e6i | −1.26126 | + | 0.294887i | ||||
\(551\) | −5.73476e6 | −0.804705 | ||||||||
\(552\) | 2.03274e6 | − | 2.79783e6i | 0.283945 | − | 0.390817i | ||||
\(553\) | 1.04990e7 | − | 3.41132e6i | 1.45993 | − | 0.474361i | ||||
\(554\) | 2.80275e6 | + | 8.62598e6i | 0.387980 | + | 1.19408i | ||||
\(555\) | −3.78330e6 | − | 3.00078e6i | −0.521361 | − | 0.413525i | ||||
\(556\) | −21056.8 | + | 64806.0i | −0.00288871 | + | 0.00889055i | ||||
\(557\) | 5.01666e6i | 0.685135i | 0.939493 | + | 0.342568i | \(0.111297\pi\) | ||||
−0.939493 | + | 0.342568i | \(0.888703\pi\) | |||||||
\(558\) | −5.34820e6 | − | 1.73774e6i | −0.727147 | − | 0.236264i | ||||
\(559\) | −29070.9 | + | 21121.3i | −0.00393486 | + | 0.00285884i | ||||
\(560\) | 4.85076e6 | + | 7.30658e6i | 0.653642 | + | 0.984564i | ||||
\(561\) | 330491. | + | 240116.i | 0.0443356 | + | 0.0322117i | ||||
\(562\) | 1.48809e6 | + | 2.04818e6i | 0.198741 | + | 0.273544i | ||||
\(563\) | −2.11661e6 | − | 2.91326e6i | −0.281429 | − | 0.387354i | 0.644777 | − | 0.764370i | \(-0.276950\pi\) |
−0.926207 | + | 0.377016i | \(0.876950\pi\) | |||||||
\(564\) | −156343. | − | 113590.i | −0.0206957 | − | 0.0150363i | ||||
\(565\) | 7.32912e6 | + | 1.10397e7i | 0.965897 | + | 1.45491i | ||||
\(566\) | 6.46741e6 | − | 4.69885e6i | 0.848573 | − | 0.616524i | ||||
\(567\) | −2.23488e6 | − | 726156.i | −0.291942 | − | 0.0948577i | ||||
\(568\) | − | 4.61202e6i | − | 0.599819i | ||||||
\(569\) | −412511. | + | 1.26958e6i | −0.0534139 | + | 0.164391i | −0.974205 | − | 0.225665i | \(-0.927544\pi\) |
0.920791 | + | 0.390056i | \(0.127544\pi\) | |||||||
\(570\) | 9.58644e6 | + | 7.60363e6i | 1.23586 | + | 0.980243i | ||||
\(571\) | −146449. | − | 450723.i | −0.0187973 | − | 0.0578522i | 0.941218 | − | 0.337800i | \(-0.109683\pi\) |
−0.960015 | + | 0.279948i | \(0.909683\pi\) | |||||||
\(572\) | −15326.3 | + | 4979.81i | −0.00195860 | + | 0.000636389i | ||||
\(573\) | −2.74817e6 | + | 3.78254e6i | −0.349669 | + | 0.481279i | ||||
\(574\) | −3.62216e6 | −0.458868 | ||||||||
\(575\) | −3.90215e6 | + | 4.51423e6i | −0.492191 | + | 0.569396i | ||||
\(576\) | −2.83694e6 | −0.356282 | ||||||||
\(577\) | 636947. | − | 876683.i | 0.0796460 | − | 0.109623i | −0.767335 | − | 0.641246i | \(-0.778418\pi\) |
0.846981 | + | 0.531623i | \(0.178418\pi\) | |||||||
\(578\) | 8.28807e6 | − | 2.69296e6i | 1.03189 | − | 0.335282i | ||||
\(579\) | −783058. | − | 2.41000e6i | −0.0970728 | − | 0.298759i | ||||
\(580\) | −507664. | + | 337033.i | −0.0626623 | + | 0.0416009i | ||||
\(581\) | 2.58988e6 | − | 7.97083e6i | 0.318302 | − | 0.979633i | ||||
\(582\) | 1.15855e7i | 1.41778i | ||||||||
\(583\) | 3.49112e6 | + | 1.13433e6i | 0.425396 | + | 0.138219i | ||||
\(584\) | 1.01224e7 | − | 7.35438e6i | 1.22815 | − | 0.892306i | ||||
\(585\) | 34171.6 | + | 12722.0i | 0.00412835 | + | 0.00153698i | ||||
\(586\) | 9.86196e6 | + | 7.16514e6i | 1.18637 | + | 0.861947i | ||||
\(587\) | −4.29186e6 | − | 5.90724e6i | −0.514104 | − | 0.707603i | 0.470501 | − | 0.882400i | \(-0.344073\pi\) |
−0.984605 | + | 0.174797i | \(0.944073\pi\) | |||||||
\(588\) | 35046.7 | + | 48237.6i | 0.00418026 | + | 0.00575363i | ||||
\(589\) | −2.01100e7 | − | 1.46108e7i | −2.38850 | − | 1.73534i | ||||
\(590\) | 496770. | − | 1.17534e7i | 0.0587524 | − | 1.39006i | ||||
\(591\) | −5.81498e6 | + | 4.22483e6i | −0.684825 | + | 0.497554i | ||||
\(592\) | −8.58020e6 | − | 2.78788e6i | −1.00622 | − | 0.326941i | ||||
\(593\) | 5.42883e6i | 0.633971i | 0.948430 | + | 0.316985i | \(0.102671\pi\) | ||||
−0.948430 | + | 0.316985i | \(0.897329\pi\) | |||||||
\(594\) | 3.67851e6 | − | 1.13213e7i | 0.427765 | − | 1.31653i | ||||
\(595\) | −196651. | + | 528208.i | −0.0227721 | + | 0.0611664i | ||||
\(596\) | 251035. | + | 772607.i | 0.0289480 | + | 0.0890929i | ||||
\(597\) | −1.04772e7 | + | 3.40424e6i | −1.20312 | + | 0.390917i | ||||
\(598\) | −39078.4 | + | 53786.7i | −0.00446872 | + | 0.00615067i | ||||
\(599\) | −4.68924e6 | −0.533993 | −0.266997 | − | 0.963697i | \(-0.586031\pi\) | ||||
−0.266997 | + | 0.963697i | \(0.586031\pi\) | |||||||
\(600\) | −5.63970e6 | − | 477588.i | −0.639555 | − | 0.0541596i | ||||
\(601\) | 4.66750e6 | 0.527106 | 0.263553 | − | 0.964645i | \(-0.415106\pi\) | ||||
0.263553 | + | 0.964645i | \(0.415106\pi\) | |||||||
\(602\) | −3.06409e6 | + | 4.21736e6i | −0.344596 | + | 0.474296i | ||||
\(603\) | 2.18842e6 | − | 711062.i | 0.245097 | − | 0.0796369i | ||||
\(604\) | −369674. | − | 1.13774e6i | −0.0412313 | − | 0.126897i | ||||
\(605\) | 1.00025e6 | + | 3.58740e6i | 0.111102 | + | 0.398466i | ||||
\(606\) | 2.41148e6 | − | 7.42177e6i | 0.266749 | − | 0.820968i | ||||
\(607\) | − | 6.62333e6i | − | 0.729634i | −0.931079 | − | 0.364817i | \(-0.881132\pi\) | ||
0.931079 | − | 0.364817i | \(-0.118868\pi\) | |||||||
\(608\) | 6.39279e6 | + | 2.07714e6i | 0.701344 | + | 0.227881i | ||||
\(609\) | 2.21610e6 | − | 1.61009e6i | 0.242128 | − | 0.175917i | ||||
\(610\) | −5.86953e6 | + | 1.63657e6i | −0.638673 | + | 0.178078i | ||||
\(611\) | −13084.4 | − | 9506.35i | −0.00141791 | − | 0.00103017i | ||||
\(612\) | 30748.7 | + | 42321.9i | 0.00331854 | + | 0.00456758i | ||||
\(613\) | −1.33209e6 | − | 1.83347e6i | −0.143180 | − | 0.197071i | 0.731404 | − | 0.681945i | \(-0.238866\pi\) |
−0.874584 | + | 0.484874i | \(0.838866\pi\) | |||||||
\(614\) | 5.01239e6 | + | 3.64172e6i | 0.536567 | + | 0.389839i | ||||
\(615\) | 1.73380e6 | − | 2.18592e6i | 0.184846 | − | 0.233049i | ||||
\(616\) | 8.23360e6 | − | 5.98206e6i | 0.874255 | − | 0.635183i | ||||
\(617\) | 3.63999e6 | + | 1.18271e6i | 0.384935 | + | 0.125073i | 0.495091 | − | 0.868841i | \(-0.335135\pi\) |
−0.110155 | + | 0.993914i | \(0.535135\pi\) | |||||||
\(618\) | − | 7.41480e6i | − | 0.780959i | ||||||
\(619\) | −624600. | + | 1.92232e6i | −0.0655202 | + | 0.201650i | −0.978457 | − | 0.206450i | \(-0.933809\pi\) |
0.912937 | + | 0.408101i | \(0.133809\pi\) | |||||||
\(620\) | −2.63890e6 | − | 111536.i | −0.275704 | − | 0.0116529i | ||||
\(621\) | −2.38869e6 | − | 7.35162e6i | −0.248559 | − | 0.764987i | ||||
\(622\) | −1.46605e7 | + | 4.76348e6i | −1.51940 | + | 0.493683i | ||||
\(623\) | −9.52172e6 | + | 1.31055e7i | −0.982868 | + | 1.35280i | ||||
\(624\) | −75268.2 | −0.00773838 | ||||||||
\(625\) | 9.62656e6 | + | 1.64219e6i | 0.985760 | + | 0.168161i | ||||
\(626\) | −567090. | −0.0578383 | ||||||||
\(627\) | 9.96134e6 | − | 1.37106e7i | 1.01193 | − | 1.39280i | ||||
\(628\) | 1.19482e6 | − | 388221.i | 0.120894 | − | 0.0392808i | ||||
\(629\) | −179167. | − | 551418.i | −0.0180564 | − | 0.0555718i | ||||
\(630\) | 5.28503e6 | + | 223377.i | 0.530513 | + | 0.0224226i | ||||
\(631\) | −3.84714e6 | + | 1.18403e7i | −0.384649 | + | 1.18383i | 0.552086 | + | 0.833787i | \(0.313832\pi\) |
−0.936735 | + | 0.350040i | \(0.886168\pi\) | |||||||
\(632\) | 1.33102e7i | 1.32554i | ||||||||
\(633\) | −7.43530e6 | − | 2.41587e6i | −0.737546 | − | 0.239643i | ||||
\(634\) | 1.20919e7 | − | 8.78530e6i | 1.19474 | − | 0.868027i | ||||
\(635\) | 9.77863e6 | − | 1.23286e7i | 0.962374 | − | 1.21333i | ||||
\(636\) | −420179. | − | 305278.i | −0.0411900 | − | 0.0299263i | ||||
\(637\) | 2933.06 | + | 4037.01i | 0.000286399 | + | 0.000394195i | ||||
\(638\) | 3.15178e6 | + | 4.33805e6i | 0.306552 | + | 0.421932i | ||||
\(639\) | −2.68607e6 | − | 1.95154e6i | −0.260235 | − | 0.189072i | ||||
\(640\) | −1.18376e7 | + | 3.30061e6i | −1.14239 | + | 0.318526i | ||||
\(641\) | −616624. | + | 448004.i | −0.0592755 | + | 0.0430662i | −0.617028 | − | 0.786941i | \(-0.711664\pi\) |
0.557753 | + | 0.830007i | \(0.311664\pi\) | |||||||
\(642\) | 7.84443e6 | + | 2.54881e6i | 0.751145 | + | 0.244062i | ||||
\(643\) | 1.06014e7i | 1.01119i | 0.862770 | + | 0.505597i | \(0.168728\pi\) | ||||
−0.862770 | + | 0.505597i | \(0.831272\pi\) | |||||||
\(644\) | −469118. | + | 1.44380e6i | −0.0445725 | + | 0.137180i | ||||
\(645\) | −1.07845e6 | − | 3.86783e6i | −0.102070 | − | 0.366073i | ||||
\(646\) | 453988. | + | 1.39723e6i | 0.0428019 | + | 0.131731i | ||||
\(647\) | −7.11751e6 | + | 2.31262e6i | −0.668448 | + | 0.217192i | −0.623531 | − | 0.781799i | \(-0.714302\pi\) |
−0.0449170 | + | 0.998991i | \(0.514302\pi\) | |||||||
\(648\) | 1.66537e6 | − | 2.29219e6i | 0.155802 | − | 0.214443i | ||||
\(649\) | −1.62937e7 | −1.51847 | ||||||||
\(650\) | 108420. | + | 9181.37i | 0.0100653 | + | 0.000852362i | ||||
\(651\) | 1.18733e7 | 1.09804 | ||||||||
\(652\) | 485256. | − | 667898.i | 0.0447046 | − | 0.0615306i | ||||
\(653\) | −3.21571e6 | + | 1.04485e6i | −0.295117 | + | 0.0958893i | −0.452833 | − | 0.891595i | \(-0.649587\pi\) |
0.157717 | + | 0.987484i | \(0.449587\pi\) | |||||||
\(654\) | −3.47318e6 | − | 1.06893e7i | −0.317528 | − | 0.977252i | ||||
\(655\) | 11661.9 | − | 31324.0i | 0.00106210 | − | 0.00285281i | ||||
\(656\) | 1.61078e6 | − | 4.95748e6i | 0.146143 | − | 0.449781i | ||||
\(657\) | − | 9.00732e6i | − | 0.814108i | ||||||
\(658\) | −2.23143e6 | − | 725036.i | −0.200918 | − | 0.0652822i | ||||
\(659\) | 8.89820e6 | − | 6.46492e6i | 0.798158 | − | 0.579896i | −0.112215 | − | 0.993684i | \(-0.535795\pi\) |
0.910373 | + | 0.413788i | \(0.135795\pi\) | |||||||
\(660\) | 76042.7 | − | 1.79915e6i | 0.00679512 | − | 0.160771i | ||||
\(661\) | 2.46210e6 | + | 1.78882e6i | 0.219181 | + | 0.159244i | 0.691958 | − | 0.721938i | \(-0.256748\pi\) |
−0.472777 | + | 0.881182i | \(0.656748\pi\) | |||||||
\(662\) | −2.61511e6 | − | 3.59939e6i | −0.231924 | − | 0.319216i | ||||
\(663\) | −2843.24 | − | 3913.39i | −0.000251206 | − | 0.000345756i | ||||
\(664\) | 8.17523e6 | + | 5.93965e6i | 0.719581 | + | 0.522806i | ||||
\(665\) | 2.19130e7 | + | 8.15817e6i | 1.92153 | + | 0.715383i | ||||
\(666\) | −4.40225e6 | + | 3.19843e6i | −0.384583 | + | 0.279416i | ||||
\(667\) | 3.31154e6 | + | 1.07599e6i | 0.288215 | + | 0.0936466i | ||||
\(668\) | 1.55546e6i | 0.134871i | ||||||||
\(669\) | −1.42453e6 | + | 4.38424e6i | −0.123057 | + | 0.378730i | ||||
\(670\) | 5.72058e6 | − | 3.79784e6i | 0.492327 | − | 0.326851i | ||||
\(671\) | 2.60801e6 | + | 8.02663e6i | 0.223616 | + | 0.688220i | ||||
\(672\) | −3.05356e6 | + | 992161.i | −0.260845 | + | 0.0847537i | ||||
\(673\) | 1.36380e7 | − | 1.87711e7i | 1.16068 | − | 1.59754i | 0.451992 | − | 0.892022i | \(-0.350713\pi\) |
0.708690 | − | 0.705520i | \(-0.249287\pi\) | |||||||
\(674\) | −7.00091e6 | −0.593614 | ||||||||
\(675\) | −8.27310e6 | + | 9.57082e6i | −0.698890 | + | 0.808518i | ||||
\(676\) | −2.21925e6 | −0.186784 | ||||||||
\(677\) | −1.11795e7 | + | 1.53873e7i | −0.937458 | + | 1.29030i | 0.0194207 | + | 0.999811i | \(0.493818\pi\) |
−0.956878 | + | 0.290488i | \(0.906182\pi\) | |||||||
\(678\) | −1.56907e7 | + | 5.09822e6i | −1.31089 | + | 0.425936i | ||||
\(679\) | 6.84153e6 | + | 2.10560e7i | 0.569480 | + | 1.75268i | ||||
\(680\) | −532429. | − | 422304.i | −0.0441559 | − | 0.0350229i | ||||
\(681\) | 3.26232e6 | − | 1.00404e7i | 0.269562 | − | 0.829628i | ||||
\(682\) | 2.32422e7i | 1.91344i | ||||||||
\(683\) | 5.87364e6 | + | 1.90846e6i | 0.481788 | + | 0.156542i | 0.539834 | − | 0.841772i | \(-0.318487\pi\) |
−0.0580461 | + | 0.998314i | \(0.518487\pi\) | |||||||
\(684\) | 1.75575e6 | − | 1.27562e6i | 0.143490 | − | 0.104252i | ||||
\(685\) | −2.58594e6 | − | 3.89514e6i | −0.210568 | − | 0.317173i | ||||
\(686\) | −1.05593e7 | − | 7.67177e6i | −0.856691 | − | 0.622423i | ||||
\(687\) | 5.06770e6 | + | 6.97510e6i | 0.409656 | + | 0.563843i | ||||
\(688\) | −4.40949e6 | − | 6.06915e6i | −0.355155 | − | 0.488829i | ||||
\(689\) | −35164.8 | − | 25548.8i | −0.00282202 | − | 0.00205032i | ||||
\(690\) | −4.10907e6 | − | 6.18938e6i | −0.328564 | − | 0.494908i | ||||
\(691\) | −1.03964e7 | + | 7.55343e6i | −0.828300 | + | 0.601795i | −0.919078 | − | 0.394076i | \(-0.871065\pi\) |
0.0907776 | + | 0.995871i | \(0.471065\pi\) | |||||||
\(692\) | 1.84639e6 | + | 599928.i | 0.146574 | + | 0.0476249i | ||||
\(693\) | − | 7.32657e6i | − | 0.579519i | ||||||
\(694\) | −1.09974e6 | + | 3.38466e6i | −0.0866746 | + | 0.266757i | ||||
\(695\) | −499266. | − | 396000.i | −0.0392075 | − | 0.0310981i | ||||
\(696\) | 1.02061e6 | + | 3.14110e6i | 0.0798611 | + | 0.245787i | ||||
\(697\) | 318599. | − | 103519.i | 0.0248406 | − | 0.00807122i | ||||
\(698\) | −2.32466e6 | + | 3.19962e6i | −0.180601 | + | 0.248576i | ||||
\(699\) | 5.36314e6 | 0.415170 | ||||||||
\(700\) | 2.41928e6 | − | 565636.i | 0.186613 | − | 0.0436307i | ||||
\(701\) | −7.57513e6 | −0.582231 | −0.291115 | − | 0.956688i | \(-0.594026\pi\) | ||||
−0.291115 | + | 0.956688i | \(0.594026\pi\) | |||||||
\(702\) | −82851.6 | + | 114035.i | −0.00634539 | + | 0.00873368i | ||||
\(703\) | −2.28759e7 | + | 7.43282e6i | −1.74578 | + | 0.567238i | ||||
\(704\) | 3.62333e6 | + | 1.11515e7i | 0.275535 | + | 0.848008i | ||||
\(705\) | 1.50565e6 | − | 999587.i | 0.114091 | − | 0.0757439i | ||||
\(706\) | −8.83443e6 | + | 2.71896e7i | −0.667063 | + | 2.05301i | ||||
\(707\) | − | 1.49127e7i | − | 1.12204i | ||||||
\(708\) | 2.19252e6 | + | 712393.i | 0.164384 | + | 0.0534117i | ||||
\(709\) | −6.72197e6 | + | 4.88379e6i | −0.502205 | + | 0.364873i | −0.809858 | − | 0.586625i | \(-0.800456\pi\) |
0.307654 | + | 0.951498i | \(0.400456\pi\) | |||||||
\(710\) | −9.28501e6 | − | 3.45679e6i | −0.691252 | − | 0.257352i | ||||
\(711\) | 7.75195e6 | + | 5.63212e6i | 0.575091 | + | 0.417828i | ||||
\(712\) | −1.14805e7 | − | 1.58015e7i | −0.848712 | − | 1.16815i | ||||
\(713\) | 8.87121e6 | + | 1.22102e7i | 0.653520 | + | 0.899493i | ||||
\(714\) | −567721. | − | 412474.i | −0.0416763 | − | 0.0302796i | ||||
\(715\) | 6364.02 | − | 150571.i | 0.000465550 | − | 0.0110148i | ||||
\(716\) | −1.98480e6 | + | 1.44204e6i | −0.144689 | + | 0.105122i | ||||
\(717\) | 1.27981e7 | + | 4.15836e6i | 0.929712 | + | 0.302082i | ||||
\(718\) | − | 2.05658e7i | − | 1.48880i | ||||||
\(719\) | −20.0163 | + | 61.6040i | −1.44398e−6 | + | 4.44413e-6i | −0.951057 | − | 0.309015i | \(-0.900001\pi\) |
0.951056 | + | 0.309019i | \(0.100001\pi\) | |||||||
\(720\) | −2.65599e6 | + | 7.13403e6i | −0.190939 | + | 0.512866i | ||||
\(721\) | −4.37863e6 | − | 1.34760e7i | −0.313689 | − | 0.965436i | ||||
\(722\) | 4.34525e7 | − | 1.41186e7i | 3.10221 | − | 1.00797i | ||||
\(723\) | −3.29504e6 | + | 4.53523e6i | −0.234431 | + | 0.322666i | ||||
\(724\) | 1.95308e6 | 0.138476 | ||||||||
\(725\) | −1.29736e6 | − | 5.54896e6i | −0.0916678 | − | 0.392072i | ||||
\(726\) | −4.63684e6 | −0.326498 | ||||||||
\(727\) | 1.20308e7 | − | 1.65590e7i | 0.844225 | − | 1.16198i | −0.140881 | − | 0.990027i | \(-0.544993\pi\) |
0.985106 | − | 0.171949i | \(-0.0550065\pi\) | |||||||
\(728\) | −114612. | + | 37239.8i | −0.00801499 | + | 0.00260423i | ||||
\(729\) | −4.06355e6 | − | 1.25063e7i | −0.283196 | − | 0.871587i | ||||
\(730\) | −7.21902e6 | − | 2.58909e7i | −0.501385 | − | 1.79821i | ||||
\(731\) | 148983. | − | 458522.i | 0.0103120 | − | 0.0317371i | ||||
\(732\) | − | 1.19411e6i | − | 0.0823699i | ||||||
\(733\) | 2.07848e7 | + | 6.75339e6i | 1.42885 | + | 0.464261i | 0.918402 | − | 0.395649i | \(-0.129480\pi\) |
0.510446 | + | 0.859910i | \(0.329480\pi\) | |||||||
\(734\) | −1.53270e6 | + | 1.11357e6i | −0.105007 | + | 0.0762917i | ||||
\(735\) | −537116. | + | 149761.i | −0.0366733 | + | 0.0102254i | ||||
\(736\) | −3.30180e6 | − | 2.39889e6i | −0.224675 | − | 0.163236i | ||||
\(737\) | −5.59010e6 | − | 7.69411e6i | −0.379097 | − | 0.521783i | ||||
\(738\) | −1.84799e6 | − | 2.54354e6i | −0.124899 | − | 0.171909i | ||||
\(739\) | 1.50374e7 | + | 1.09253e7i | 1.01289 | + | 0.735905i | 0.964813 | − | 0.262939i | \(-0.0846917\pi\) |
0.0480740 | + | 0.998844i | \(0.484692\pi\) | |||||||
\(740\) | −1.58823e6 | + | 2.00240e6i | −0.106619 | + | 0.134422i | ||||
\(741\) | −162349. | + | 117953.i | −0.0108619 | + | 0.00789160i | ||||
\(742\) | −5.99708e6 | − | 1.94857e6i | −0.399880 | − | 0.129929i | ||||
\(743\) | − | 1.73147e7i | − | 1.15065i | −0.817924 | − | 0.575326i | \(-0.804875\pi\) | ||
0.817924 | − | 0.575326i | \(-0.195125\pi\) | |||||||
\(744\) | −4.42383e6 | + | 1.36151e7i | −0.292999 | + | 0.901758i | ||||
\(745\) | −7.59037e6 | − | 320814.i | −0.501040 | − | 0.0211769i | ||||
\(746\) | −2.98400e6 | − | 9.18379e6i | −0.196314 | − | 0.604192i | ||||
\(747\) | 6.91858e6 | − | 2.24798e6i | 0.453644 | − | 0.147398i | ||||
\(748\) | 127087. | − | 174920.i | 0.00830515 | − | 0.0114311i | ||||
\(749\) | 1.57620e7 | 1.02661 | ||||||||
\(750\) | −5.18855e6 | + | 1.09960e7i | −0.336816 | + | 0.713808i | ||||
\(751\) | 2.28767e7 | 1.48011 | 0.740053 | − | 0.672548i | \(-0.234800\pi\) | ||||
0.740053 | + | 0.672548i | \(0.234800\pi\) | |||||||
\(752\) | 1.98464e6 | − | 2.73163e6i | 0.127979 | − | 0.176148i | ||||
\(753\) | 2.31219e6 | − | 751277.i | 0.148606 | − | 0.0482850i | ||||
\(754\) | −19620.6 | − | 60386.0i | −0.00125685 | − | 0.00386819i | ||||
\(755\) | 1.11776e7 | + | 472431.i | 0.713641 | + | 0.0301627i | ||||
\(756\) | −994596. | + | 3.06105e6i | −0.0632910 | + | 0.194790i | ||||
\(757\) | − | 2.58993e7i | − | 1.64266i | −0.570451 | − | 0.821332i | \(-0.693232\pi\) | ||
0.570451 | − | 0.821332i | \(-0.306768\pi\) | |||||||
\(758\) | −1.45421e6 | − | 472503.i | −0.0919296 | − | 0.0298697i | ||||
\(759\) | −8.32463e6 | + | 6.04820e6i | −0.524518 | + | 0.381085i | ||||
\(760\) | −1.75195e7 | + | 2.20881e7i | −1.10024 | + | 1.38715i | ||||
\(761\) | −1.74930e7 | − | 1.27094e7i | −1.09497 | − | 0.795543i | −0.114739 | − | 0.993396i | \(-0.536603\pi\) |
−0.980232 | + | 0.197853i | \(0.936603\pi\) | |||||||
\(762\) | 1.15158e7 | + | 1.58501e7i | 0.718467 | + | 0.988884i | ||||
\(763\) | −1.26246e7 | − | 1.73763e7i | −0.785069 | − | 1.08055i | ||||
\(764\) | 2.00200e6 | + | 1.45454e6i | 0.124088 | + | 0.0901553i | ||||
\(765\) | −471246. | + | 131395.i | −0.0291135 | + | 0.00811755i | ||||
\(766\) | 2.29920e7 | − | 1.67047e7i | 1.41581 | − | 1.02865i | ||||
\(767\) | 183492. | + | 59620.3i | 0.0112624 | + | 0.00365936i | ||||
\(768\) | − | 6.41943e6i | − | 0.392730i | ||||||
\(769\) | −7.74437e6 | + | 2.38347e7i | −0.472248 | + | 1.45343i | 0.377385 | + | 0.926057i | \(0.376823\pi\) |
−0.849633 | + | 0.527374i | \(0.823177\pi\) | |||||||
\(770\) | −5.87196e6 | − | 2.10597e7i | −0.356908 | − | 1.28005i | ||||
\(771\) | 3.67548e6 | + | 1.13120e7i | 0.222678 | + | 0.685333i | ||||
\(772\) | −1.27555e6 | + | 414452.i | −0.0770291 | + | 0.0250283i | ||||
\(773\) | −3.87106e6 | + | 5.32806e6i | −0.233014 | + | 0.320716i | −0.909472 | − | 0.415765i | \(-0.863514\pi\) |
0.676458 | + | 0.736481i | \(0.263514\pi\) | |||||||
\(774\) | −4.52477e6 | −0.271484 | ||||||||
\(775\) | 9.58795e6 | − | 2.27638e7i | 0.573418 | − | 1.36142i | ||||
\(776\) | −2.66941e7 | −1.59133 | ||||||||
\(777\) | 6.75314e6 | − | 9.29490e6i | 0.401285 | − | 0.552322i | ||||
\(778\) | 5.25084e6 | − | 1.70610e6i | 0.311014 | − | 0.101054i | ||||
\(779\) | −4.29455e6 | − | 1.32173e7i | −0.253556 | − | 0.780365i | ||||
\(780\) | −7439.63 | + | 19983.0i | −0.000437839 | + | 0.00117604i | ||||
\(781\) | −4.24050e6 | + | 1.30509e7i | −0.248765 | + | 0.765621i | ||||
\(782\) | − | 892011.i | − | 0.0521619i | ||||||
\(783\) | 7.02094e6 | + | 2.28124e6i | 0.409252 | + | 0.132974i | ||||
\(784\) | −842808. | + | 612336.i | −0.0489709 | + | 0.0355795i | ||||
\(785\) | −496133. | + | 1.17384e7i | −0.0287358 | + | 0.679881i | ||||
\(786\) | 33667.2 | + | 24460.6i | 0.00194379 | + | 0.00141225i | ||||
\(787\) | 1.60588e7 | + | 2.21031e7i | 0.924223 | + | 1.27208i | 0.962071 | + | 0.272800i | \(0.0879497\pi\) |
−0.0378482 | + | 0.999284i | \(0.512050\pi\) | |||||||
\(788\) | 2.23609e6 | + | 3.07772e6i | 0.128285 | + | 0.176568i | ||||
\(789\) | 327739. | + | 238117.i | 0.0187429 | + | 0.0136175i | ||||
\(790\) | 2.67964e7 | + | 9.97624e6i | 1.52759 | + | 0.568721i | ||||
\(791\) | −2.55064e7 | + | 1.85315e7i | −1.44947 | + | 1.05310i | ||||
\(792\) | 8.40140e6 | + | 2.72978e6i | 0.475925 | + | 0.154638i | ||||
\(793\) | − | 99935.5i | − | 0.00564335i | ||||||
\(794\) | 1.48709e6 | − | 4.57679e6i | 0.0837115 | − | 0.257638i | ||||
\(795\) | 4.04651e6 | − | 2.68644e6i | 0.227072 | − | 0.150751i | ||||
\(796\) | 1.80178e6 | + | 5.54530e6i | 0.100790 | + | 0.310200i | ||||
\(797\) | −2.69907e7 | + | 8.76980e6i | −1.50511 | + | 0.489039i | −0.941503 | − | 0.337005i | \(-0.890586\pi\) |
−0.563606 | + | 0.826044i | \(0.690586\pi\) | |||||||
\(798\) | −1.71117e7 | + | 2.35522e7i | −0.951230 | + | 1.30926i | ||||
\(799\) | 216994. | 0.0120249 | ||||||||
\(800\) | −563615. | + | 6.65557e6i | −0.0311356 | + | 0.367672i | ||||
\(801\) | −1.40608e7 | −0.774335 | ||||||||
\(802\) | −1.51920e7 | + | 2.09101e7i | −0.834028 | + | 1.14794i | ||||
\(803\) | −3.54060e7 | + | 1.15041e7i | −1.93771 | + | 0.629600i | ||||
\(804\) | 415817. | + | 1.27975e6i | 0.0226862 | + | 0.0698210i | ||||
\(805\) | −1.11230e7 | − | 8.82237e6i | −0.604968 | − | 0.479839i | ||||
\(806\) | 85045.7 | − | 261744.i | 0.00461121 | − | 0.0141918i | ||||
\(807\) | − | 833422.i | − | 0.0450486i | ||||||
\(808\) | 1.71005e7 | + | 5.55628e6i | 0.921467 | + | 0.299403i | ||||
\(809\) | 4.46997e6 | − | 3.24763e6i | 0.240123 | − | 0.174460i | −0.461215 | − | 0.887288i | \(-0.652586\pi\) |
0.701338 | + | 0.712829i | \(0.252586\pi\) | |||||||
\(810\) | −3.36645e6 | − | 5.07079e6i | −0.180285 | − | 0.271558i | ||||
\(811\) | 32227.0 | + | 23414.3i | 0.00172055 | + | 0.00125005i | 0.588645 | − | 0.808392i | \(-0.299662\pi\) |
−0.586925 | + | 0.809642i | \(0.699662\pi\) | |||||||
\(812\) | −852178. | − | 1.17292e6i | −0.0453566 | − | 0.0624280i | ||||
\(813\) | −1.28892e6 | − | 1.77404e6i | −0.0683909 | − | 0.0941320i | ||||
\(814\) | 1.81949e7 | + | 1.32194e7i | 0.962475 | + | 0.699279i | ||||
\(815\) | 4.27024e6 | + | 6.43215e6i | 0.225195 | + | 0.339205i | ||||
\(816\) | 817000. | − | 593585.i | 0.0429533 | − | 0.0312074i | ||||
\(817\) | −1.90220e7 | − | 6.18063e6i | −0.997015 | − | 0.323950i | ||||
\(818\) | − | 7.67629e6i | − | 0.401114i | ||||||
\(819\) | −26808.7 | + | 82508.8i | −0.00139658 | + | 0.00429824i | ||||
\(820\) | −1.15695e6 | − | 917653.i | −0.0600870 | − | 0.0476589i | ||||
\(821\) | 5.33654e6 | + | 1.64242e7i | 0.276313 | + | 0.850405i | 0.988869 | + | 0.148789i | \(0.0475376\pi\) |
−0.712556 | + | 0.701616i | \(0.752462\pi\) | |||||||
\(822\) | 5.53617e6 | − | 1.79881e6i | 0.285779 | − | 0.0928551i | ||||
\(823\) | 9.40756e6 | − | 1.29484e7i | 0.484147 | − | 0.666371i | −0.495148 | − | 0.868809i | \(-0.664886\pi\) |
0.979295 | + | 0.202437i | \(0.0648862\pi\) | |||||||
\(824\) | 1.70844e7 | 0.876561 | ||||||||
\(825\) | 1.55199e7 | + | 6.53686e6i | 0.793879 | + | 0.334376i | ||||
\(826\) | 2.79894e7 | 1.42739 | ||||||||
\(827\) | −9.22837e6 | + | 1.27018e7i | −0.469203 | + | 0.645803i | −0.976385 | − | 0.216036i | \(-0.930687\pi\) |
0.507182 | + | 0.861839i | \(0.330687\pi\) | |||||||
\(828\) | −1.25320e6 | + | 407188.i | −0.0635248 | + | 0.0206405i | ||||
\(829\) | −9.66233e6 | − | 2.97376e7i | −0.488310 | − | 1.50286i | −0.827129 | − | 0.562012i | \(-0.810028\pi\) |
0.338820 | − | 0.940851i | \(-0.389972\pi\) | |||||||
\(830\) | 1.80853e7 | − | 1.20066e7i | 0.911235 | − | 0.604960i | ||||
\(831\) | 5.13650e6 | − | 1.58085e7i | 0.258027 | − | 0.794125i | ||||
\(832\) | − | 138841.i | − | 0.00695360i | ||||||
\(833\) | −63673.8 | − | 20688.9i | −0.00317942 | − | 0.00103306i | ||||
\(834\) | 641875. | − | 466349.i | 0.0319547 | − | 0.0232165i | ||||
\(835\) | −1.36323e7 | − | 5.07529e6i | −0.676634 | − | 0.251910i | ||||
\(836\) | −7.25666e6 | − | 5.27227e6i | −0.359105 | − | 0.260905i | ||||
\(837\) | 1.88082e7 | + | 2.58873e7i | 0.927970 | + | 1.27724i | ||||
\(838\) | 1.35215e7 | + | 1.86108e7i | 0.665145 | + | 0.915493i | ||||
\(839\) | 6.61998e6 | + | 4.80970e6i | 0.324677 | + | 0.235892i | 0.738169 | − | 0.674616i | \(-0.235691\pi\) |
−0.413491 | + | 0.910508i | \(0.635691\pi\) | |||||||
\(840\) | 568660. | − | 1.34543e7i | 0.0278070 | − | 0.657905i | ||||
\(841\) | 1.39036e7 | − | 1.01016e7i | 0.677856 | − | 0.492491i | ||||
\(842\) | −1.80359e7 | − | 5.86021e6i | −0.876712 | − | 0.284861i | ||||
\(843\) | − | 4.63974e6i | − | 0.224866i | ||||||
\(844\) | −1.27866e6 | + | 3.93531e6i | −0.0617872 | + | 0.190162i | ||||
\(845\) | 7.24117e6 | − | 1.94499e7i | 0.348873 | − | 0.937078i | ||||
\(846\) | −629322. | − | 1.93685e6i | −0.0302306 | − | 0.0930402i | ||||
\(847\) | −8.42723e6 | + | 2.73817e6i | −0.403623 | + | 0.131145i | ||||
\(848\) | 5.33383e6 | − | 7.34138e6i | 0.254712 | − | 0.350581i | ||||
\(849\) | −1.46506e7 | −0.697568 | ||||||||
\(850\) | −1.24925e6 | + | 755371.i | −0.0593067 | + | 0.0358602i | ||||
\(851\) | 1.46043e7 | 0.691283 | ||||||||
\(852\) | 1.14123e6 | − | 1.57077e6i | 0.0538609 | − | 0.0741332i | ||||
\(853\) | −3.74570e6 | + | 1.21705e6i | −0.176263 | + | 0.0572712i | −0.395819 | − | 0.918329i | \(-0.629539\pi\) |
0.219556 | + | 0.975600i | \(0.429539\pi\) | |||||||
\(854\) | −4.48007e6 | − | 1.37882e7i | −0.210203 | − | 0.646940i | ||||
\(855\) | 5.45099e6 | + | 1.95499e7i | 0.255012 | + | 0.914595i | ||||
\(856\) | −5.87270e6 | + | 1.80743e7i | −0.273939 | + | 0.843097i | ||||
\(857\) | 1.11857e7i | 0.520249i | 0.965575 | + | 0.260125i | \(0.0837636\pi\) | ||||
−0.965575 | + | 0.260125i | \(0.916236\pi\) | |||||||
\(858\) | 178451. | + | 57982.3i | 0.00827564 | + | 0.00268892i | ||||
\(859\) | −6.78076e6 | + | 4.92651e6i | −0.313542 | + | 0.227801i | −0.733415 | − | 0.679782i | \(-0.762075\pi\) |
0.419873 | + | 0.907583i | \(0.362075\pi\) | |||||||
\(860\) | −2.04714e6 | + | 570793.i | −0.0943847 | + | 0.0263168i | ||||
\(861\) | 5.37042e6 | + | 3.90184e6i | 0.246888 | + | 0.179375i | ||||
\(862\) | −1.94655e7 | − | 2.67920e7i | −0.892275 | − | 1.22811i | ||||
\(863\) | 4.41744e6 | + | 6.08008e6i | 0.201903 | + | 0.277896i | 0.897947 | − | 0.440103i | \(-0.145058\pi\) |
−0.696044 | + | 0.717999i | \(0.745058\pi\) | |||||||
\(864\) | −7.00027e6 | − | 5.08600e6i | −0.319029 | − | 0.231788i | ||||
\(865\) | −1.12824e7 | + | 1.42246e7i | −0.512700 | + | 0.646397i | ||||
\(866\) | 1.62416e7 | − | 1.18002e7i | 0.735926 | − | 0.534682i | ||||
\(867\) | −1.51893e7 | − | 4.93529e6i | −0.686260 | − | 0.222979i | ||||
\(868\) | − | 6.28422e6i | − | 0.283108i | ||||||
\(869\) | 1.22380e7 | − | 3.76647e7i | 0.549745 | − | 1.69194i | ||||
\(870\) | 7.08869e6 | + | 299611.i | 0.317518 | + | 0.0134202i | ||||
\(871\) | 34799.7 | + | 107103.i | 0.00155428 | + | 0.00478360i | ||||
\(872\) | 2.46293e7 | − | 8.00253e6i | 1.09688 | − | 0.356399i | ||||
\(873\) | −1.12954e7 | + | 1.55468e7i | −0.501611 | + | 0.690408i | ||||
\(874\) | −3.70055e7 | −1.63866 | ||||||||
\(875\) | −2.93651e6 | + | 2.30486e7i | −0.129662 | + | 1.01771i | ||||
\(876\) | 5.26732e6 | 0.231916 | ||||||||
\(877\) | −1.16367e7 | + | 1.60166e7i | −0.510896 | + | 0.703188i | −0.984070 | − | 0.177781i | \(-0.943108\pi\) |
0.473174 | + | 0.880969i | \(0.343108\pi\) | |||||||
\(878\) | −1.56433e7 | + | 5.08280e6i | −0.684843 | + | 0.222519i | ||||
\(879\) | −6.90353e6 | − | 2.12469e7i | −0.301369 | − | 0.927519i | ||||
\(880\) | 3.14347e7 | + | 1.32862e6i | 1.36837 | + | 0.0578354i | ||||
\(881\) | 1.28928e7 | − | 3.96799e7i | 0.559638 | − | 1.72239i | −0.123732 | − | 0.992316i | \(-0.539486\pi\) |
0.683370 | − | 0.730072i | \(-0.260514\pi\) | |||||||
\(882\) | 628344.i | 0.0271973i | ||||||||
\(883\) | 1.35053e7 | + | 4.38812e6i | 0.582909 | + | 0.189399i | 0.585603 | − | 0.810598i | \(-0.300858\pi\) |
−0.00269419 | + | 0.999996i | \(0.500858\pi\) | |||||||
\(884\) | −2071.25 | + | 1504.85i | −8.91462e−5 | + | 6.47685e-5i | ||||
\(885\) | −1.33975e7 | + | 1.68912e7i | −0.574997 | + | 0.724940i | ||||
\(886\) | 8.89059e6 | + | 6.45939e6i | 0.380493 | + | 0.276444i | ||||
\(887\) | −2.23502e6 | − | 3.07624e6i | −0.0953832 | − | 0.131284i | 0.758658 | − | 0.651489i | \(-0.225855\pi\) |
−0.854041 | + | 0.520205i | \(0.825855\pi\) | |||||||
\(888\) | 8.14237e6 | + | 1.12070e7i | 0.346512 | + | 0.476933i | ||||
\(889\) | 3.02893e7 | + | 2.20064e7i | 1.28539 | + | 0.933889i | ||||
\(890\) | −4.04168e7 | + | 1.12692e7i | −1.71036 | + | 0.476889i | ||||
\(891\) | −6.82015e6 | + | 4.95513e6i | −0.287806 | + | 0.209103i | ||||
\(892\) | 2.32046e6 | + | 753965.i | 0.0976479 | + | 0.0317277i | ||||
\(893\) | − | 9.00211e6i | − | 0.377760i | ||||||
\(894\) | 2.92293e6 | − | 8.99585e6i | 0.122313 | − | 0.376442i | ||||
\(895\) | −6.16212e6 | − | 2.21004e7i | −0.257142 | − | 0.922235i | ||||
\(896\) | −9.03535e6 | − | 2.78079e7i | −0.375989 | − | 1.15717i | ||||
\(897\) | 115880. | − | 37651.6i | 0.00480868 | − | 0.00156243i | ||||
\(898\) | 9.67689e6 | − | 1.33191e7i | 0.400447 | − | 0.551168i | ||||
\(899\) | −1.44137e7 | −0.594809 | ||||||||
\(900\) | 1.63149e6 | + | 1.41028e6i | 0.0671396 | + | 0.0580361i | ||||
\(901\) | 583182. | 0.0239327 | ||||||||
\(902\) | −7.63792e6 | + | 1.05127e7i | −0.312578 | + | 0.430227i | ||||
\(903\) | 9.08599e6 | − | 2.95222e6i | 0.370811 | − | 0.120484i | ||||
\(904\) | −1.17468e7 | − | 3.61529e7i | −0.478077 | − | 1.47137i | ||||
\(905\) | −6.37268e6 | + | 1.71171e7i | −0.258643 | + | 0.694719i | ||||
\(906\) | −4.30430e6 | + | 1.32473e7i | −0.174214 | + | 0.536174i | ||||
\(907\) | 1.02382e7i | 0.413243i | 0.978421 | + | 0.206621i | \(0.0662468\pi\) | ||||
−0.978421 | + | 0.206621i | \(0.933753\pi\) | |||||||
\(908\) | −5.31412e6 | − | 1.72666e6i | −0.213903 | − | 0.0695013i | ||||
\(909\) | 1.04720e7 | − | 7.60833e6i | 0.420357 | − | 0.305407i | ||||
\(910\) | −10932.2 | + | 258652.i | −0.000437626 | + | 0.0103541i | ||||
\(911\) | 3.17740e7 | + | 2.30852e7i | 1.26846 | + | 0.921589i | 0.999140 | − | 0.0414616i | \(-0.0132014\pi\) |
0.269319 | + | 0.963051i | \(0.413201\pi\) | |||||||
\(912\) | −2.46252e7 | − | 3.38937e7i | −0.980376 | − | 1.34937i | ||||
\(913\) | −1.76728e7 | − | 2.43245e7i | −0.701662 | − | 0.965755i | ||||
\(914\) | −7.36054e6 | − | 5.34774e6i | −0.291437 | − | 0.211741i | ||||
\(915\) | 1.04654e7 | + | 3.89626e6i | 0.413242 | + | 0.153849i | ||||
\(916\) | 3.69174e6 | − | 2.68220e6i | 0.145376 | − | 0.105622i | ||||
\(917\) | 75633.0 | + | 24574.6i | 0.00297021 | + | 0.000965081i | ||||
\(918\) | − | 1.89119e6i | − | 0.0740676i | ||||||
\(919\) | −3.10989e6 | + | 9.57126e6i | −0.121466 | + | 0.373835i | −0.993241 | − | 0.116072i | \(-0.962970\pi\) |
0.871774 | + | 0.489908i | \(0.162970\pi\) | |||||||
\(920\) | 1.42609e7 | − | 9.46768e6i | 0.555492 | − | 0.368786i | ||||
\(921\) | −3.50875e6 | − | 1.07988e7i | −0.136302 | − | 0.419496i | ||||
\(922\) | −3.45175e6 | + | 1.12154e6i | −0.133725 | + | 0.0434498i | ||||
\(923\) | 95509.6 | − | 131458.i | 0.00369014 | − | 0.00507904i | ||||
\(924\) | 4.28445e6 | 0.165088 | ||||||||
\(925\) | −1.23672e7 | − | 2.04532e7i | −0.475243 | − | 0.785971i | ||||
\(926\) | 2.73342e6 | 0.104756 | ||||||||
\(927\) | 7.22915e6 | − | 9.95008e6i | 0.276305 | − | 0.380301i | ||||
\(928\) | 3.70690e6 | − | 1.20445e6i | 0.141300 | − | 0.0459111i | ||||
\(929\) | −2.98477e6 | − | 9.18619e6i | −0.113468 | − | 0.349217i | 0.878157 | − | 0.478373i | \(-0.158773\pi\) |
−0.991624 | + | 0.129156i | \(0.958773\pi\) | |||||||
\(930\) | 2.40945e7 | + | 1.91109e7i | 0.913505 | + | 0.724560i | ||||
\(931\) | −858289. | + | 2.64154e6i | −0.0324533 | + | 0.0998811i | ||||
\(932\) | − | 2.83857e6i | − | 0.107043i | ||||||
\(933\) | 2.68677e7 | + | 8.72985e6i | 1.01048 | + | 0.328324i | ||||
\(934\) | −1.00785e7 | + | 7.32247e6i | −0.378033 | + | 0.274657i | ||||
\(935\) | 1.11836e6 | + | 1.68456e6i | 0.0418363 | + | 0.0630169i | ||||
\(936\) | −84624.5 | − | 61483.3i | −0.00315723 | − | 0.00229386i | ||||
\(937\) | 2.47993e7 | + | 3.41333e7i | 0.922763 | + | 1.27007i | 0.962616 | + | 0.270869i | \(0.0873110\pi\) |
−0.0398531 | + | 0.999206i | \(0.512689\pi\) | |||||||
\(938\) | 9.60272e6 | + | 1.32170e7i | 0.356359 | + | 0.490486i | ||||
\(939\) | 840799. | + | 610876.i | 0.0311192 | + | 0.0226094i | ||||
\(940\) | −529055. | − | 796902.i | −0.0195291 | − | 0.0294161i | ||||
\(941\) | −1.75555e7 | + | 1.27548e7i | −0.646308 | + | 0.469570i | −0.862012 | − | 0.506889i | \(-0.830796\pi\) |
0.215703 | + | 0.976459i | \(0.430796\pi\) | |||||||
\(942\) | −1.39119e7 | − | 4.52025e6i | −0.510810 | − | 0.165972i | ||||
\(943\) | 8.43808e6i | 0.309004i | ||||||||
\(944\) | −1.24469e7 | + | 3.83078e7i | −0.454604 | + | 1.39913i | ||||
\(945\) | −2.35823e7 | − | 1.87047e7i | −0.859028 | − | 0.681351i | ||||
\(946\) | 5.77902e6 | + | 1.77860e7i | 0.209955 | + | 0.646175i | ||||
\(947\) | −1.14922e7 | + | 3.73405e6i | −0.416418 | + | 0.135302i | −0.509730 | − | 0.860335i | \(-0.670255\pi\) |
0.0933119 | + | 0.995637i | \(0.470255\pi\) | |||||||
\(948\) | −3.29356e6 | + | 4.53320e6i | −0.119027 | + | 0.163827i | ||||
\(949\) | 440823. | 0.0158891 | ||||||||
\(950\) | 3.13370e7 | + | 5.18260e7i | 1.12654 | + | 1.86311i | ||||
\(951\) | −2.73918e7 | −0.982131 | ||||||||
\(952\) | 950379. | − | 1.30808e6i | 0.0339863 | − | 0.0467782i | ||||
\(953\) | 4.27696e7 | − | 1.38967e7i | 1.52547 | − | 0.495655i | 0.578145 | − | 0.815934i | \(-0.303777\pi\) |
0.947323 | + | 0.320279i | \(0.103777\pi\) | |||||||
\(954\) | −1.69133e6 | − | 5.20538e6i | −0.0601669 | − | 0.185175i | ||||
\(955\) | −1.92801e7 | + | 1.27999e7i | −0.684071 | + | 0.454148i | ||||
\(956\) | 2.20091e6 | − | 6.77371e6i | 0.0778857 | − | 0.239708i | ||||
\(957\) | − | 9.82698e6i | − | 0.346849i | ||||||
\(958\) | 1.93655e7 | + | 6.29223e6i | 0.681734 | + | 0.221509i | ||||
\(959\) | 8.99945e6 | − | 6.53849e6i | 0.315987 | − | 0.229578i | ||||
\(960\) | 1.45397e7 | + | 5.41311e6i | 0.509187 | + | 0.189570i | ||||
\(961\) | −2.73830e7 | − | 1.98949e7i | −0.956474 | − | 0.694919i | ||||
\(962\) | −156533. | − | 215449.i | −0.00545339 | − | 0.00750595i | ||||
\(963\) | 8.04161e6 | + | 1.10683e7i | 0.279433 | + | 0.384606i | ||||
\(964\) | 2.40038e6 | + | 1.74398e6i | 0.0831931 | + | 0.0604433i | ||||
\(965\) | 529655. | − | 1.25315e7i | 0.0183094 | − | 0.433195i | ||||
\(966\) | 1.43001e7 | − | 1.03897e7i | 0.493057 | − | 0.358227i | ||||
\(967\) | 2.47797e7 | + | 8.05141e6i | 0.852177 | + | 0.276889i | 0.702357 | − | 0.711824i | \(-0.252131\pi\) |
0.149819 | + | 0.988713i | \(0.452131\pi\) | |||||||
\(968\) | − | 1.06837e7i | − | 0.366467i | ||||||
\(969\) | 832007. | − | 2.56065e6i | 0.0284654 | − | 0.0876075i | ||||
\(970\) | −2.00077e7 | + | 5.37411e7i | −0.682760 | + | 1.83391i | ||||
\(971\) | −9.61611e6 | − | 2.95954e7i | −0.327304 | − | 1.00734i | −0.970390 | − | 0.241544i | \(-0.922346\pi\) |
0.643086 | − | 0.765794i | \(-0.277654\pi\) | |||||||
\(972\) | −4.45817e6 | + | 1.44855e6i | −0.151353 | + | 0.0491776i | ||||
\(973\) | 891183. | − | 1.22661e6i | 0.0301776 | − | 0.0415359i | ||||
\(974\) | −3.53303e7 | −1.19330 | ||||||||
\(975\) | −150860. | − | 130404.i | −0.00508231 | − | 0.00439320i | ||||
\(976\) | 2.08636e7 | 0.701075 | ||||||||
\(977\) | 6.64813e6 | − | 9.15037e6i | 0.222825 | − | 0.306692i | −0.682939 | − | 0.730476i | \(-0.739298\pi\) |
0.905763 | + | 0.423784i | \(0.139298\pi\) | |||||||
\(978\) | −9.14202e6 | + | 2.97042e6i | −0.305629 | + | 0.0993049i | ||||
\(979\) | 1.79584e7 | + | 5.52703e7i | 0.598840 | + | 1.84304i | ||||
\(980\) | 79264.7 | + | 284281.i | 0.00263642 | + | 0.00945547i | ||||
\(981\) | 5.76098e6 | − | 1.77305e7i | 0.191128 | − | 0.588230i | ||||
\(982\) | − | 2.49389e7i | − | 0.825274i | ||||||
\(983\) | 1.39471e6 | + | 453170.i | 0.0460363 | + | 0.0149581i | 0.331945 | − | 0.943299i | \(-0.392295\pi\) |
−0.285908 | + | 0.958257i | \(0.592295\pi\) | |||||||
\(984\) | −6.47520e6 | + | 4.70451e6i | −0.213189 | + | 0.154891i | ||||
\(985\) | −3.42698e7 | + | 9.55526e6i | −1.12544 | + | 0.313799i | ||||
\(986\) | 689192. | + | 500727.i | 0.0225761 | + | 0.0164025i | ||||
\(987\) | 2.52743e6 | + | 3.47871e6i | 0.0825821 | + | 0.113664i | ||||
\(988\) | 62429.7 | + | 85927.1i | 0.00203469 | + | 0.00280051i | ||||
\(989\) | 9.82464e6 | + | 7.13802e6i | 0.319393 | + | 0.232053i | ||||
\(990\) | 1.17927e7 | − | 1.48678e7i | 0.382405 | − | 0.482125i | ||||
\(991\) | 9.77996e6 | − | 7.10556e6i | 0.316339 | − | 0.229834i | −0.418273 | − | 0.908322i | \(-0.637364\pi\) |
0.734612 | + | 0.678488i | \(0.237364\pi\) | |||||||
\(992\) | 1.60676e7 | + | 5.22068e6i | 0.518408 | + | 0.168441i | ||||
\(993\) | 8.15370e6i | 0.262411i | ||||||||
\(994\) | 7.28438e6 | − | 2.24190e7i | 0.233844 | − | 0.719698i | ||||
\(995\) | −5.44789e7 | − | 2.30261e6i | −1.74450 | − | 0.0737330i | ||||
\(996\) | 1.31458e6 | + | 4.04587e6i | 0.0419894 | + | 0.129230i | ||||
\(997\) | −3.13141e7 | + | 1.01746e7i | −0.997706 | + | 0.324174i | −0.761948 | − | 0.647638i | \(-0.775757\pi\) |
−0.235757 | + | 0.971812i | \(0.575757\pi\) | |||||||
\(998\) | −3.60594e7 | + | 4.96316e7i | −1.14602 | + | 1.57736i | ||||
\(999\) | 3.09631e7 | 0.981592 |
(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 | 25.6.e.a.9.3 | ✓ | 48 | |
25.8 | odd | 20 | 625.6.a.g.1.12 | 48 | |||
25.14 | even | 10 | inner | 25.6.e.a.14.3 | yes | 48 | |
25.17 | odd | 20 | 625.6.a.g.1.37 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.6.e.a.9.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
25.6.e.a.14.3 | yes | 48 | 25.14 | even | 10 | inner | |
625.6.a.g.1.12 | 48 | 25.8 | odd | 20 | |||
625.6.a.g.1.37 | 48 | 25.17 | odd | 20 |