Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [196,6,Mod(165,196)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(196, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("196.165");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 196 = 2^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 196.e (of order \(3\), degree \(2\), not 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: | \(31.4352286833\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 177.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 196.177 |
Dual form | 196.6.e.h.165.1 |
$q$-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 \(\left(\mathbb{Z}/196\mathbb{Z}\right)^\times\).
\(n\) | \(99\) | \(101\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 8.00000 | + | 13.8564i | 0.513200 | + | 0.888889i | 0.999883 | + | 0.0153100i | \(0.00487351\pi\) |
−0.486683 | + | 0.873579i | \(0.661793\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −8.00000 | + | 13.8564i | −0.143108 | + | 0.247871i | −0.928666 | − | 0.370918i | \(-0.879043\pi\) |
0.785557 | + | 0.618789i | \(0.212376\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −6.50000 | + | 11.2583i | −0.0267490 | + | 0.0463306i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 38.0000 | + | 65.8179i | 0.0946895 | + | 0.164007i | 0.909479 | − | 0.415750i | \(-0.136481\pi\) |
−0.814789 | + | 0.579757i | \(0.803148\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 880.000 | 1.44419 | 0.722095 | − | 0.691794i | \(-0.243179\pi\) | ||||
0.722095 | + | 0.691794i | \(0.243179\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −256.000 | −0.293773 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 528.000 | + | 914.523i | 0.443110 | + | 0.767489i | 0.997918 | − | 0.0644890i | \(-0.0205418\pi\) |
−0.554808 | + | 0.831978i | \(0.687208\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −968.000 | + | 1676.63i | −0.615165 | + | 1.06550i | 0.375191 | + | 0.926948i | \(0.377577\pi\) |
−0.990356 | + | 0.138549i | \(0.955756\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −468.000 | + | 810.600i | −0.184470 | + | 0.319512i | −0.943398 | − | 0.331663i | \(-0.892390\pi\) |
0.758928 | + | 0.651175i | \(0.225724\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1434.50 | + | 2484.63i | 0.459040 | + | 0.795081i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3680.00 | 0.971490 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3982.00 | −0.879238 | −0.439619 | − | 0.898184i | \(-0.644886\pi\) | ||||
−0.439619 | + | 0.898184i | \(0.644886\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −784.000 | − | 1357.93i | −0.146525 | − | 0.253789i | 0.783416 | − | 0.621498i | \(-0.213476\pi\) |
−0.929941 | + | 0.367709i | \(0.880142\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −608.000 | + | 1053.09i | −0.0971894 | + | 0.168337i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2469.00 | + | 4276.43i | −0.296495 | + | 0.513544i | −0.975331 | − | 0.220745i | \(-0.929151\pi\) |
0.678837 | + | 0.734289i | \(0.262484\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 7040.00 | + | 12193.6i | 0.741159 | + | 1.28372i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −15840.0 | −1.47162 | −0.735810 | − | 0.677188i | \(-0.763198\pi\) | ||||
−0.735810 | + | 0.677188i | \(0.763198\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −16412.0 | −1.35360 | −0.676800 | − | 0.736167i | \(-0.736634\pi\) | ||||
−0.676800 | + | 0.736167i | \(0.736634\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −104.000 | − | 180.133i | −0.00765600 | − | 0.0132606i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 10384.0 | − | 17985.6i | 0.685678 | − | 1.18763i | −0.287546 | − | 0.957767i | \(-0.592839\pi\) |
0.973223 | − | 0.229862i | \(-0.0738274\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −8448.00 | + | 14632.4i | −0.454808 | + | 0.787751i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 18701.0 | + | 32391.1i | 0.914482 | + | 1.58393i | 0.807658 | + | 0.589651i | \(0.200735\pi\) |
0.106824 | + | 0.994278i | \(0.465932\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1216.00 | −0.0542034 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −30976.0 | −1.26281 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −10568.0 | − | 18304.3i | −0.395242 | − | 0.684579i | 0.597890 | − | 0.801578i | \(-0.296006\pi\) |
−0.993132 | + | 0.116999i | \(0.962673\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1496.00 | − | 2591.15i | 0.0514763 | − | 0.0891595i | −0.839139 | − | 0.543917i | \(-0.816941\pi\) |
0.890615 | + | 0.454757i | \(0.150274\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −7040.00 | + | 12193.6i | −0.206676 | + | 0.357973i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 22918.0 | + | 39695.1i | 0.623720 | + | 1.08031i | 0.988787 | + | 0.149334i | \(0.0477128\pi\) |
−0.365067 | + | 0.930981i | \(0.618954\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −14976.0 | −0.378681 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −49840.0 | −1.17336 | −0.586681 | − | 0.809818i | \(-0.699566\pi\) | ||||
−0.586681 | + | 0.809818i | \(0.699566\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 28160.0 | + | 48774.6i | 0.618480 | + | 1.07124i | 0.989763 | + | 0.142719i | \(0.0455845\pi\) |
−0.371283 | + | 0.928520i | \(0.621082\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −22952.0 | + | 39754.0i | −0.471159 | + | 0.816071i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −20372.0 | + | 35285.3i | −0.367253 | + | 0.636102i | −0.989135 | − | 0.147010i | \(-0.953035\pi\) |
0.621882 | + | 0.783111i | \(0.286369\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 31019.5 | + | 53727.4i | 0.525318 | + | 0.909877i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 112464. | 1.79192 | 0.895959 | − | 0.444136i | \(-0.146489\pi\) | ||||
0.895959 | + | 0.444136i | \(0.146489\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −16896.0 | −0.253651 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −31856.0 | − | 55176.2i | −0.451225 | − | 0.781545i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −32128.0 | + | 55647.3i | −0.429941 | + | 0.744679i | −0.996868 | − | 0.0790889i | \(-0.974799\pi\) |
0.566927 | + | 0.823768i | \(0.308132\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 12544.0 | − | 21726.8i | 0.150393 | − | 0.260489i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −15488.0 | − | 26826.0i | −0.176070 | − | 0.304963i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2272.00 | −0.0245177 | −0.0122588 | − | 0.999925i | \(-0.503902\pi\) | ||||
−0.0122588 | + | 0.999925i | \(0.503902\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −988.000 | −0.0101314 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 55000.0 | + | 95262.8i | 0.536487 | + | 0.929223i | 0.999090 | + | 0.0426572i | \(0.0135823\pi\) |
−0.462603 | + | 0.886566i | \(0.653084\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 42064.0 | − | 72857.0i | 0.390677 | − | 0.676672i | −0.601862 | − | 0.798600i | \(-0.705574\pi\) |
0.992539 | + | 0.121928i | \(0.0389077\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6974.00 | + | 12079.3i | −0.0588874 | + | 0.101996i | −0.893966 | − | 0.448134i | \(-0.852089\pi\) |
0.835079 | + | 0.550130i | \(0.185422\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11297.0 | − | 19567.0i | −0.0910745 | − | 0.157746i | 0.816889 | − | 0.576795i | \(-0.195697\pi\) |
−0.907964 | + | 0.419049i | \(0.862363\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −79008.0 | −0.608644 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 94786.0 | 0.698310 | 0.349155 | − | 0.937065i | \(-0.386469\pi\) | ||||
0.349155 | + | 0.937065i | \(0.386469\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7488.00 | − | 12969.6i | −0.0527985 | − | 0.0914496i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −5720.00 | + | 9907.33i | −0.0386306 | + | 0.0669101i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 77637.5 | − | 134472.i | 0.482068 | − | 0.834966i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −126720. | − | 219485.i | −0.755235 | − | 1.30811i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −95904.0 | −0.548987 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 140624. | 0.773660 | 0.386830 | − | 0.922151i | \(-0.373570\pi\) | ||||
0.386830 | + | 0.922151i | \(0.373570\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −131296. | − | 227411.i | −0.694668 | − | 1.20320i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 121176. | − | 209883.i | 0.616934 | − | 1.06856i | −0.373108 | − | 0.927788i | \(-0.621708\pi\) |
0.990042 | − | 0.140772i | \(-0.0449586\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −29440.0 | + | 50991.6i | −0.139028 | + | 0.240804i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −86443.0 | − | 149724.i | −0.393485 | − | 0.681536i | 0.599421 | − | 0.800434i | \(-0.295397\pi\) |
−0.992907 | + | 0.118897i | \(0.962064\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −167376. | −0.734778 | −0.367389 | − | 0.930067i | \(-0.619748\pi\) | ||||
−0.367389 | + | 0.930067i | \(0.619748\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 332288. | 1.40756 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 33440.0 | + | 57919.8i | 0.136750 | + | 0.236857i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 31856.0 | − | 55176.2i | 0.125826 | − | 0.217937i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 202301. | − | 350396.i | 0.746504 | − | 1.29298i | −0.202984 | − | 0.979182i | \(-0.565064\pi\) |
0.949489 | − | 0.313802i | \(-0.101603\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −222596. | − | 385548.i | −0.794465 | − | 1.37605i | −0.923178 | − | 0.384373i | \(-0.874418\pi\) |
0.128713 | − | 0.991682i | \(-0.458916\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −13728.0 | −0.0474110 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 25088.0 | 0.0838758 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 86248.0 | + | 149386.i | 0.279254 | + | 0.483683i | 0.971200 | − | 0.238267i | \(-0.0765794\pi\) |
−0.691945 | + | 0.721950i | \(0.743246\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −299216. | + | 518257.i | −0.938625 | + | 1.62575i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −83742.0 | + | 145045.i | −0.246873 | + | 0.427597i | −0.962657 | − | 0.270725i | \(-0.912737\pi\) |
0.715783 | + | 0.698323i | \(0.246070\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −9728.00 | − | 16849.4i | −0.0278172 | − | 0.0481808i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 206624. | 0.573310 | 0.286655 | − | 0.958034i | \(-0.407457\pi\) | ||||
0.286655 | + | 0.958034i | \(0.407457\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 403107. | 1.08568 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −12584.0 | − | 21796.1i | −0.0329100 | − | 0.0570019i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 169928. | − | 294324.i | 0.431668 | − | 0.747671i | −0.565349 | − | 0.824852i | \(-0.691259\pi\) |
0.997017 | + | 0.0771810i | \(0.0245919\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 169088. | − | 292869.i | 0.405676 | − | 0.702652i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −259770. | − | 449935.i | −0.605977 | − | 1.04958i | −0.991896 | − | 0.127051i | \(-0.959449\pi\) |
0.385919 | − | 0.922533i | \(-0.373884\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 830000. | 1.88314 | 0.941568 | − | 0.336823i | \(-0.109352\pi\) | ||||
0.941568 | + | 0.336823i | \(0.109352\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 47872.0 | 0.105671 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −39504.0 | − | 68422.9i | −0.0848617 | − | 0.146985i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −40128.0 | + | 69503.7i | −0.0839158 | + | 0.145346i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −150804. | + | 261200.i | −0.299109 | + | 0.518072i | −0.975932 | − | 0.218074i | \(-0.930023\pi\) |
0.676823 | + | 0.736145i | \(0.263356\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 242231. | + | 419556.i | 0.468098 | + | 0.810769i | 0.999335 | − | 0.0364539i | \(-0.0116062\pi\) |
−0.531238 | + | 0.847223i | \(0.678273\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −225280. | −0.424264 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −183018. | −0.335991 | −0.167996 | − | 0.985788i | \(-0.553729\pi\) | ||||
−0.167996 | + | 0.985788i | \(0.553729\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 452144. | + | 783136.i | 0.809364 | + | 1.40186i | 0.913305 | + | 0.407277i | \(0.133522\pi\) |
−0.103940 | + | 0.994584i | \(0.533145\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −366688. | + | 635122.i | −0.640187 | + | 1.10884i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 126720. | − | 219485.i | 0.210601 | − | 0.364772i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6084.00 | − | 10537.8i | −0.00986878 | − | 0.0170932i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −147136. | −0.232999 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −494428. | −0.764534 | −0.382267 | − | 0.924052i | \(-0.624857\pi\) | ||||
−0.382267 | + | 0.924052i | \(0.624857\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −398720. | − | 690603.i | −0.602170 | − | 1.04299i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 131296. | − | 227411.i | 0.193711 | − | 0.335518i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −450560. | + | 780393.i | −0.634808 | + | 1.09952i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 464640. | + | 804780.i | 0.639935 | + | 1.10840i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −389824. | −0.524936 | −0.262468 | − | 0.964941i | \(-0.584536\pi\) | ||||
−0.262468 | + | 0.964941i | \(0.584536\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −37297.0 | −0.0491154 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 39512.0 | + | 68436.8i | 0.0508937 | + | 0.0881505i | 0.890350 | − | 0.455277i | \(-0.150460\pi\) |
−0.839456 | + | 0.543427i | \(0.817126\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 629896. | − | 1.09101e6i | 0.793743 | − | 1.37480i | −0.129891 | − | 0.991528i | \(-0.541463\pi\) |
0.923634 | − | 0.383276i | \(-0.125204\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 386309. | − | 669107.i | 0.466171 | − | 0.807431i | −0.533083 | − | 0.846063i | \(-0.678967\pi\) |
0.999254 | + | 0.0386317i | \(0.0122999\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 166144. | + | 287770.i | 0.196252 | + | 0.339919i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −651904. | −0.753898 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.42507e6 | −1.61377 | −0.806886 | − | 0.590707i | \(-0.798849\pi\) | ||||
−0.806886 | + | 0.590707i | \(0.798849\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −574288. | − | 994696.i | −0.636923 | − | 1.10318i | −0.986104 | − | 0.166128i | \(-0.946873\pi\) |
0.349181 | − | 0.937055i | \(-0.386460\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −49192.0 | + | 85203.0i | −0.0534415 | + | 0.0925634i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −851840. | + | 1.47543e6i | −0.888415 | + | 1.53878i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 899712. | + | 1.55835e6i | 0.919613 | + | 1.59282i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −278096. | −0.278619 | −0.139309 | − | 0.990249i | \(-0.544488\pi\) | ||||
−0.139309 | + | 0.990249i | \(0.544488\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −71136.0 | −0.0698696 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −135168. | − | 234118.i | −0.130174 | − | 0.225468i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −178816. | + | 309718.i | −0.168878 | + | 0.292506i | −0.938026 | − | 0.346566i | \(-0.887348\pi\) |
0.769148 | + | 0.639071i | \(0.220681\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 25883.0 | − | 44830.7i | 0.0235187 | − | 0.0407356i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 42416.0 | + | 73466.7i | 0.0378129 | + | 0.0654939i | 0.884313 | − | 0.466895i | \(-0.154628\pi\) |
−0.846500 | + | 0.532389i | \(0.821294\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −598432. | −0.523480 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.02810e6 | −0.882583 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.09886e6 | + | 1.90327e6i | 0.925891 | + | 1.60369i | 0.790121 | + | 0.612951i | \(0.210018\pi\) |
0.135770 | + | 0.990740i | \(0.456649\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 237952. | − | 412145.i | 0.196819 | − | 0.340900i | −0.750677 | − | 0.660670i | \(-0.770272\pi\) |
0.947495 | + | 0.319770i | \(0.103606\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −109022. | + | 188832.i | −0.0869325 | + | 0.150572i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 797005. | + | 1.38045e6i | 0.624111 | + | 1.08099i | 0.988712 | + | 0.149828i | \(0.0478719\pi\) |
−0.364601 | + | 0.931164i | \(0.618795\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 20384.0 | 0.0156776 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.31558e6 | −0.993919 | −0.496959 | − | 0.867774i | \(-0.665550\pi\) | ||||
−0.496959 | + | 0.867774i | \(0.665550\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −504328. | − | 873522.i | −0.374323 | − | 0.648347i | 0.615902 | − | 0.787823i | \(-0.288792\pi\) |
−0.990226 | + | 0.139476i | \(0.955458\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 247808. | − | 429216.i | 0.180719 | − | 0.313014i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 152360. | − | 263896.i | 0.107307 | − | 0.185861i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −18176.0 | − | 31481.8i | −0.0125825 | − | 0.0217935i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2.05762e6 | 1.40022 | 0.700108 | − | 0.714037i | \(-0.253135\pi\) | ||||
0.700108 | + | 0.714037i | \(0.253135\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 338176. | 0.226250 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 139840. | + | 242210.i | 0.0919899 | + | 0.159331i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −411840. | + | 713328.i | −0.266410 | + | 0.461436i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −880000. | + | 1.52420e6i | −0.550651 | + | 0.953755i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 23936.0 | + | 41458.4i | 0.0147334 | + | 0.0255189i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.07099e6 | 1.25410 | 0.627050 | − | 0.778979i | \(-0.284262\pi\) | ||||
0.627050 | + | 0.778979i | \(0.284262\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.34605e6 | 0.801981 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −476608. | − | 825509.i | −0.279422 | − | 0.483973i | 0.691819 | − | 0.722071i | \(-0.256809\pi\) |
−0.971241 | + | 0.238098i | \(0.923476\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.42920e6 | + | 2.47545e6i | −0.824579 | + | 1.42821i | 0.0776620 | + | 0.996980i | \(0.475255\pi\) |
−0.902241 | + | 0.431233i | \(0.858079\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 993801. | − | 1.72131e6i | 0.555458 | − | 0.962082i | −0.442410 | − | 0.896813i | \(-0.645876\pi\) |
0.997868 | − | 0.0652685i | \(-0.0207904\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −151316. | − | 262087.i | −0.0832546 | − | 0.144201i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −223168. | −0.120884 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.04442e6 | −1.09034 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.26236e6 | + | 2.18647e6i | 0.662941 | + | 1.14825i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 180752. | − | 313072.i | 0.0934789 | − | 0.161910i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −197290. | + | 341716.i | −0.0989772 | + | 0.171434i | −0.911262 | − | 0.411828i | \(-0.864890\pi\) |
0.812284 | + | 0.583262i | \(0.198224\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −32097.0 | − | 55593.6i | −0.0158619 | − | 0.0274735i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −733376. | −0.357038 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.19606e6 | 1.05334 | 0.526672 | − | 0.850069i | \(-0.323440\pi\) | ||||
0.526672 | + | 0.850069i | \(0.323440\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 758288. | + | 1.31339e6i | 0.358373 | + | 0.620720i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 59584.0 | − | 103203.i | 0.0277488 | − | 0.0480623i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 119808. | − | 207514.i | 0.0541924 | − | 0.0938639i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.01359e6 | − | 3.48765e6i | −0.897735 | − | 1.55492i | −0.830383 | − | 0.557194i | \(-0.811878\pi\) |
−0.0673525 | − | 0.997729i | \(-0.521455\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.96469e6 | −0.863436 | −0.431718 | − | 0.902009i | \(-0.642092\pi\) | ||||
−0.431718 | + | 0.902009i | \(0.642092\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.23840e6 | 1.40302 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −1.67261e6 | − | 2.89704e6i | −0.714426 | − | 1.23742i | −0.963180 | − | 0.268856i | \(-0.913354\pi\) |
0.248754 | − | 0.968567i | \(-0.419979\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 398720. | − | 690603.i | 0.167918 | − | 0.290842i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.14756e6 | − | 1.98764e6i | 0.469938 | − | 0.813957i | −0.529471 | − | 0.848328i | \(-0.677610\pi\) |
0.999409 | + | 0.0343712i | \(0.0109428\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −635998. | − | 1.10158e6i | −0.256855 | − | 0.444886i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.48440e6 | 0.989589 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −901120. | −0.354038 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.46934e6 | − | 2.54498e6i | −0.569454 | − | 0.986323i | −0.996620 | − | 0.0821495i | \(-0.973821\pi\) |
0.427166 | − | 0.904173i | \(-0.359512\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 102960. | − | 178332.i | 0.0393643 | − | 0.0681810i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 207229. | − | 358931.i | 0.0771220 | − | 0.133579i | −0.824885 | − | 0.565300i | \(-0.808760\pi\) |
0.902007 | + | 0.431721i | \(0.142094\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −767232. | − | 1.32888e6i | −0.281740 | − | 0.487988i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.50416e6 | −1.26979 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.57111e6 | 0.919438 | 0.459719 | − | 0.888065i | \(-0.347950\pi\) | ||||
0.459719 | + | 0.888065i | \(0.347950\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.12499e6 | + | 1.94854e6i | 0.397042 | + | 0.687698i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.28366e6 | − | 2.22337e6i | 0.447151 | − | 0.774489i | −0.551048 | − | 0.834474i | \(-0.685772\pi\) |
0.998199 | + | 0.0599849i | \(0.0191052\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 106678. | − | 184772.i | 0.0362074 | − | 0.0627131i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.68904e6 | − | 2.92551e6i | −0.565936 | − | 0.980230i | −0.996962 | − | 0.0778902i | \(-0.975182\pi\) |
0.431026 | − | 0.902339i | \(-0.358152\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −988416. | −0.326962 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.87763e6 | 1.26644 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −325952. | − | 564565.i | −0.105114 | − | 0.182063i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.09886e6 | − | 1.90327e6i | 0.349917 | − | 0.606073i | −0.636318 | − | 0.771427i | \(-0.719543\pi\) |
0.986234 | + | 0.165354i | \(0.0528766\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.73835e6 | − | 3.01092e6i | 0.539855 | − | 0.935056i | −0.459056 | − | 0.888407i | \(-0.651812\pi\) |
0.998911 | − | 0.0466490i | \(-0.0148542\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −689920. | − | 1.19498e6i | −0.211610 | − | 0.366519i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −992624. | −0.300710 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −375288. | −0.112300 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 842160. | + | 1.45866e6i | 0.248935 | + | 0.431168i | 0.963231 | − | 0.268676i | \(-0.0865860\pi\) |
−0.714295 | + | 0.699844i | \(0.753253\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.38309e6 | − | 2.39558e6i | 0.403873 | − | 0.699529i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −899712. | + | 1.55835e6i | −0.256439 | + | 0.444165i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.33901e6 | − | 2.31923e6i | −0.377088 | − | 0.653136i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −4.40475e6 | −1.22571 | −0.612853 | − | 0.790197i | \(-0.709978\pi\) | ||||
−0.612853 | + | 0.790197i | \(0.709978\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.06601e6 | 0.843078 | 0.421539 | − | 0.906810i | \(-0.361490\pi\) | ||||
0.421539 | + | 0.906810i | \(0.361490\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 134992. | + | 233813.i | 0.0366823 | + | 0.0635357i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.51483e6 | + | 2.62377e6i | −0.406810 | + | 0.704616i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −535040. | + | 926716.i | −0.140360 | + | 0.243110i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −660176. | − | 1.14346e6i | −0.171185 | − | 0.296502i | 0.767649 | − | 0.640870i | \(-0.221426\pi\) |
−0.938835 | + | 0.344369i | \(0.888093\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.91510e6 | 0.747196 | 0.373598 | − | 0.927591i | \(-0.378124\pi\) | ||||
0.373598 | + | 0.927591i | \(0.378124\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.01939e6 | 0.258296 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −906048. | − | 1.56932e6i | −0.226959 | − | 0.393105i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.53126e6 | + | 6.11633e6i | −0.874518 | + | 1.51471i | −0.0172432 | + | 0.999851i | \(0.505489\pi\) |
−0.857275 | + | 0.514859i | \(0.827844\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 3.86906e6 | − | 6.70141e6i | 0.936690 | − | 1.62239i | 0.165098 | − | 0.986277i | \(-0.447206\pi\) |
0.771592 | − | 0.636118i | \(-0.219461\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −514048. | − | 890357.i | −0.123056 | − | 0.213140i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 6.47363e6 | 1.53242 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.62457e6 | −1.31666 | −0.658330 | − | 0.752729i | \(-0.728737\pi\) | ||||
−0.658330 | + | 0.752729i | \(0.728737\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −601920. | − | 1.04256e6i | −0.139347 | − | 0.241356i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.56154e6 | − | 6.16876e6i | 0.815440 | − | 1.41238i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.95758e6 | + | 5.12268e6i | −0.662439 | + | 1.14738i | 0.317533 | + | 0.948247i | \(0.397145\pi\) |
−0.979973 | + | 0.199132i | \(0.936188\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.94304e6 | + | 3.36544e6i | 0.430477 | + | 0.745608i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 7.21195e6 | 1.58052 | 0.790261 | − | 0.612770i | \(-0.209945\pi\) | ||||
0.790261 | + | 0.612770i | \(0.209945\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.22092e6 | 1.13186 | 0.565932 | − | 0.824452i | \(-0.308516\pi\) | ||||
0.565932 | + | 0.824452i | \(0.308516\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 200704. | + | 347630.i | 0.0430451 | + | 0.0745563i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −2.90769e6 | + | 5.03626e6i | −0.616958 | + | 1.06860i | 0.373080 | + | 0.927799i | \(0.378302\pi\) |
−0.990038 | + | 0.140803i | \(0.955031\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.37997e6 | + | 2.39017e6i | −0.286627 | + | 0.496452i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −623656. | − | 1.08020e6i | −0.128172 | − | 0.222000i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.55438e6 | −1.12954 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −486226. | −0.0978458 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3.76939e6 | + | 6.52878e6i | 0.750641 | + | 1.30015i | 0.947512 | + | 0.319720i | \(0.103589\pi\) |
−0.196871 | + | 0.980429i | \(0.563078\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.17272e6 | + | 3.76326e6i | −0.428194 | + | 0.741655i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 18176.0 | − | 31481.8i | 0.00350868 | − | 0.00607721i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.29830e6 | + | 5.71282e6i | 0.630185 | + | 1.09151i | 0.987514 | + | 0.157533i | \(0.0503541\pi\) |
−0.357329 | + | 0.933979i | \(0.616313\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −2.67974e6 | −0.506782 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.96666e6 | −1.86572 | −0.932859 | − | 0.360242i | \(-0.882694\pi\) | ||||
−0.932859 | + | 0.360242i | \(0.882694\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.10250e6 | − | 3.64163e6i | −0.389599 | − | 0.674805i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 7904.00 | − | 13690.1i | 0.00144989 | − | 0.00251128i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.47135e6 | − | 2.54845e6i | 0.264524 | − | 0.458169i | −0.702915 | − | 0.711274i | \(-0.748119\pi\) |
0.967439 | + | 0.253105i | \(0.0814519\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.65299e6 | + | 2.86307e6i | 0.294223 | + | 0.509609i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 4.35142e6 | 0.766852 | 0.383426 | − | 0.923572i | \(-0.374744\pi\) | ||||
0.383426 | + | 0.923572i | \(0.374744\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.76000e6 | −0.307103 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.22486e6 | + | 5.58561e6i | 0.557173 | + | 0.965053i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −2.59247e6 | + | 4.49029e6i | −0.443527 | + | 0.768211i | −0.997948 | − | 0.0640254i | \(-0.979606\pi\) |
0.554422 | + | 0.832236i | \(0.312939\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −3.56224e6 | + | 6.16998e6i | −0.597626 | + | 1.03512i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 673024. | + | 1.16571e6i | 0.111818 | + | 0.193675i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.57837e6 | 0.259706 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.43770e6 | 0.886128 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.70840e6 | − | 6.42314e6i | −0.598539 | − | 1.03670i | −0.993037 | − | 0.117803i | \(-0.962415\pi\) |
0.394498 | − | 0.918897i | \(-0.370918\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.23673e6 | − | 5.60618e6i | 0.517430 | − | 0.896216i | −0.482365 | − | 0.875971i | \(-0.660222\pi\) |
0.999795 | − | 0.0202453i | \(-0.00644471\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 827904. | − | 1.43397e6i | 0.129853 | − | 0.224913i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.78012e6 | + | 4.81532e6i | 0.431941 | + | 0.748145i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 274768. | 0.0422892 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.39392e7 | −2.12530 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −111584. | − | 193269.i | −0.0168546 | − | 0.0291930i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 4.15632e6 | − | 7.19896e6i | 0.621975 | − | 1.07729i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.55494e6 | + | 7.88938e6i | −0.669097 | + | 1.15891i | 0.309060 | + | 0.951043i | \(0.399986\pi\) |
−0.978157 | + | 0.207867i | \(0.933348\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.64000e6 | + | 1.15008e7i | 0.966426 | + | 1.67390i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 361504. | 0.0521341 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.63776e6 | −0.805635 | −0.402818 | − | 0.915280i | \(-0.631969\pi\) | ||||
−0.402818 | + | 0.915280i | \(0.631969\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 19448.0 | + | 33684.9i | 0.00275387 | + | 0.00476985i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.85458e6 | − | 6.67632e6i | 0.540876 | − | 0.936825i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 632064. | − | 1.09477e6i | 0.0871021 | − | 0.150865i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1.85536e6 | − | 3.21358e6i | −0.253390 | − | 0.438885i | 0.711067 | − | 0.703124i | \(-0.248212\pi\) |
−0.964457 | + | 0.264240i | \(0.914879\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.44426e7 | −1.95486 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.28410e6 | −0.172262 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.63058e6 | − | 4.55631e6i | −0.349769 | − | 0.605818i | 0.636439 | − | 0.771327i | \(-0.280407\pi\) |
−0.986208 | + | 0.165509i | \(0.947073\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −758288. | + | 1.31339e6i | −0.0999340 | + | 0.173091i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.40464e6 | − | 2.43292e6i | 0.181880 | − | 0.315026i | −0.760640 | − | 0.649173i | \(-0.775115\pi\) |
0.942521 | + | 0.334147i | \(0.108448\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.09853e6 | + | 7.09887e6i | 0.526064 | + | 0.911169i | 0.999539 | + | 0.0303619i | \(0.00966596\pi\) |
−0.473475 | + | 0.880807i | \(0.657001\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −4.82573e6 | −0.614011 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.68538e6 | −0.338717 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.84861e6 | + | 3.20188e6i | 0.231156 | + | 0.400374i | 0.958149 | − | 0.286271i | \(-0.0924159\pi\) |
−0.726993 | + | 0.686645i | \(0.759083\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3.87570e6 | + | 6.71290e6i | −0.480456 | + | 0.832174i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.42128e6 | + | 2.46172e6i | −0.173184 | + | 0.299963i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −91520.0 | − | 158517.i | −0.0110567 | − | 0.0191508i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −8.25282e6 | −0.988569 | −0.494284 | − | 0.869300i | \(-0.664570\pi\) | ||||
−0.494284 | + | 0.869300i | \(0.664570\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.03565e6 | 0.360548 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.46414e6 | − | 2.53597e6i | −0.172431 | − | 0.298659i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3.15638e6 | − | 5.46702e6i | 0.368598 | − | 0.638431i | −0.620749 | − | 0.784010i | \(-0.713171\pi\) |
0.989347 | + | 0.145579i | \(0.0465045\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −7.23430e6 | + | 1.25302e7i | −0.830732 | + | 1.43887i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 3.46488e6 | + | 6.00135e6i | 0.394567 | + | 0.683411i | 0.993046 | − | 0.117728i | \(-0.0375611\pi\) |
−0.598479 | + | 0.801139i | \(0.704228\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.10092e7 | 1.24328 | 0.621638 | − | 0.783305i | \(-0.286467\pi\) | ||||
0.621638 | + | 0.783305i | \(0.286467\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −595868. | −0.0667355 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.24220e6 | + | 2.15155e6i | 0.137976 | + | 0.238981i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 166848. | − | 288989.i | 0.0183802 | − | 0.0318354i | −0.856689 | − | 0.515833i | \(-0.827482\pi\) |
0.875069 | + | 0.483998i | \(0.160816\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 9.13792e6 | − | 1.58273e7i | 0.990249 | − | 1.71516i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −879637. | − | 1.52358e6i | −0.0945480 | − | 0.163762i | 0.814872 | − | 0.579641i | \(-0.196807\pi\) |
−0.909420 | + | 0.415879i | \(0.863474\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.05504e6 | 0.432322 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.46142e7 | −1.54548 | −0.772738 | − | 0.634725i | \(-0.781113\pi\) | ||||
−0.772738 | + | 0.634725i | \(0.781113\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.15772e6 | + | 2.00523e6i | 0.121444 | + | 0.210348i | 0.920337 | − | 0.391125i | \(-0.127914\pi\) |
−0.798893 | + | 0.601473i | \(0.794581\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.72224e6 | + | 2.98301e6i | −0.179211 | + | 0.310403i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.71558e6 | + | 6.43557e6i | −0.380475 | + | 0.659003i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.17709e6 | − | 2.03878e6i | −0.119575 | − | 0.207110i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.21453e6 | −0.525519 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.47152e7 | 1.47127 | 0.735636 | − | 0.677377i | \(-0.236883\pi\) | ||||
0.735636 | + | 0.677377i | \(0.236883\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.95542e6 | − | 6.85100e6i | −0.392359 | − | 0.679586i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.12499e6 | + | 1.94854e6i | −0.110717 | + | 0.191768i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 323960. | − | 561115.i | 0.0313862 | − | 0.0543626i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.37775e6 | − | 9.31454e6i | −0.516958 | − | 0.895398i | −0.999806 | − | 0.0196939i | \(-0.993731\pi\) |
0.482848 | − | 0.875704i | \(-0.339602\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.81097e7 | 1.72736 | 0.863681 | − | 0.504039i | \(-0.168153\pi\) | ||||
0.863681 | + | 0.504039i | \(0.168153\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.20147e6 | 0.397651 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.93838e6 | − | 3.35738e6i | −0.182045 | − | 0.315311i | 0.760532 | − | 0.649301i | \(-0.224938\pi\) |
−0.942577 | + | 0.333989i | \(0.891605\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 803168. | − | 1.39113e6i | 0.0748505 | − | 0.129645i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.91278e6 | − | 5.04509e6i | 0.267316 | − | 0.463005i | −0.700852 | − | 0.713307i | \(-0.747197\pi\) |
0.968168 | + | 0.250302i | \(0.0805299\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.93882e6 | + | 3.35813e6i | 0.176577 | + | 0.305840i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −732160. | −0.0661748 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −6.46989e6 | −0.580341 | −0.290171 | − | 0.956975i | \(-0.593712\pi\) | ||||
−0.290171 | + | 0.956975i | \(0.593712\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.09001e6 | + | 3.62000e6i | 0.186056 | + | 0.322259i | 0.943932 | − | 0.330140i | \(-0.107096\pi\) |
−0.757876 | + | 0.652399i | \(0.773763\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −7.43424e6 | + | 1.28765e7i | −0.656830 | + | 1.13766i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.86358e6 | − | 3.22781e6i | 0.162193 | − | 0.280927i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −3.11859e6 | − | 5.40156e6i | −0.269397 | − | 0.466610i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 227392. | 0.0194970 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.27159e7 | 1.08221 | 0.541104 | − | 0.840956i | \(-0.318007\pi\) | ||||
0.541104 | + | 0.840956i | \(0.318007\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 5.27896e6 | + | 9.14343e6i | 0.445953 | + | 0.772413i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −5.93551e6 | + | 1.02806e7i | −0.497722 | + | 0.862079i | −0.999997 | − | 0.00262884i | \(-0.999163\pi\) |
0.502275 | + | 0.864708i | \(0.332497\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −632192. | + | 1.09499e6i | −0.0522374 | + | 0.0904778i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.99889e6 | − | 1.21224e7i | −0.574087 | − | 0.994348i | −0.996140 | − | 0.0877767i | \(-0.972024\pi\) |
0.422053 | − | 0.906571i | \(-0.361310\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.76618e6 | 0.225244 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.01567e7 | 1.62940 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.64569e7 | + | 2.85042e7i | 1.32069 | + | 2.28749i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.90018e6 | − | 8.48737e6i | 0.390407 | − | 0.676204i | −0.602096 | − | 0.798423i | \(-0.705668\pi\) |
0.992503 | + | 0.122219i | \(0.0390011\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.33901e6 | − | 2.31923e6i | 0.105153 | − | 0.182130i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.36352e6 | − | 1.44860e7i | −0.652089 | − | 1.12945i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.23619e7 | 0.956956 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.80481e6 | −0.138719 | −0.0693597 | − | 0.997592i | \(-0.522096\pi\) | ||||
−0.0693597 | + | 0.997592i | \(0.522096\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.77998e6 | − | 8.27918e6i | −0.364786 | − | 0.631828i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −2.65830e6 | + | 4.60432e6i | −0.201434 | + | 0.348893i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.23702e6 | − | 5.60668e6i | 0.241841 | − | 0.418881i | −0.719398 | − | 0.694598i | \(-0.755582\pi\) |
0.961239 | + | 0.275718i | \(0.0889155\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −264836. | − | 458709.i | −0.0196473 | − | 0.0340301i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.46765e6 | 0.108118 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.07008e6 | −0.0782801 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.14006e7 | − | 1.97464e7i | −0.828188 | − | 1.43446i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1.17032e7 | − | 2.02706e7i | 0.844273 | − | 1.46232i | −0.0419777 | − | 0.999119i | \(-0.513366\pi\) |
0.886251 | − | 0.463206i | \(-0.153301\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 9.18861e6 | − | 1.59151e7i | 0.653738 | − | 1.13231i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −5.71218e6 | − | 9.89378e6i | −0.403605 | − | 0.699065i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −491936. | −0.0345201 | −0.0172601 | − | 0.999851i | \(-0.505494\pi\) | ||||
−0.0172601 | + | 0.999851i | \(0.505494\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.35013e7 | 0.940931 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −8.66554e6 | − | 1.50091e7i | −0.599794 | − | 1.03887i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.93210e6 | + | 6.81060e6i | −0.270312 | + | 0.468194i | −0.968942 | − | 0.247289i | \(-0.920460\pi\) |
0.698630 | + | 0.715483i | \(0.253793\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.74177e6 | + | 3.01683e6i | −0.118119 | + | 0.204589i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.46273e6 | − | 5.99763e6i | −0.233243 | − | 0.403988i | 0.725518 | − | 0.688203i | \(-0.241600\pi\) |
−0.958761 | + | 0.284215i | \(0.908267\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.72589e7 | −1.82374 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.59306e7 | 1.05867 | 0.529333 | − | 0.848414i | \(-0.322442\pi\) | ||||
0.529333 | + | 0.848414i | \(0.322442\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.23682e6 | + | 5.60633e6i | 0.213662 | + | 0.370073i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −731016. | + | 1.26616e6i | −0.0479320 | + | 0.0830206i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.00762e6 | + | 8.67346e6i | −0.323990 | + | 0.561167i | −0.981307 | − | 0.192446i | \(-0.938358\pi\) |
0.657317 | + | 0.753614i | \(0.271691\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −2.22477e6 | − | 3.85341e6i | −0.142987 | − | 0.247661i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 7.12307e6 | 0.454779 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.79619e6 | 0.240773 | 0.120387 | − | 0.992727i | \(-0.461587\pi\) | ||||
0.120387 | + | 0.992727i | \(0.461587\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −569088. | − | 985689.i | −0.0358571 | − | 0.0621063i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 5.17422e6 | − | 8.96202e6i | 0.323880 | − | 0.560976i | −0.657405 | − | 0.753537i | \(-0.728346\pi\) |
0.981285 | + | 0.192561i | \(0.0616794\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 109824. | − | 190221.i | 0.00678490 | − | 0.0117518i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −9.29984e6 | − | 1.61078e7i | −0.570804 | − | 0.988662i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.51131e7 | −0.921591 | −0.460796 | − | 0.887506i | \(-0.652436\pi\) | ||||
−0.460796 | + | 0.887506i | \(0.652436\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.72211e6 | −0.346673 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 2.83087e6 | + | 4.90321e6i | 0.170401 | + | 0.295143i | 0.938560 | − | 0.345116i | \(-0.112160\pi\) |
−0.768159 | + | 0.640259i | \(0.778827\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.24930e6 | − | 3.89589e6i | 0.134522 | − | 0.232998i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 1.53331e7 | − | 2.65577e7i | 0.905288 | − | 1.56801i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.89392e6 | − | 3.28037e6i | −0.111105 | − | 0.192440i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.46538e7 | −0.854171 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.75994e6 | −0.159855 | ||||||||
\(786\) | 0 |