Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(289,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bo (of order \(9\), degree \(6\), 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 57) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 289.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.289 |
Dual form | 912.2.bo.b.385.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.173648 | + | 0.984808i | 0.100256 | + | 0.568579i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.93969 | + | 1.62760i | −0.867457 | + | 0.727883i | −0.963561 | − | 0.267489i | \(-0.913806\pi\) |
0.0961041 | + | 0.995371i | \(0.469362\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.266044 | − | 0.460802i | 0.100555 | − | 0.174167i | −0.811358 | − | 0.584549i | \(-0.801271\pi\) |
0.911914 | + | 0.410382i | \(0.134605\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.939693 | + | 0.342020i | −0.313231 | + | 0.114007i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.55303 | − | 4.42198i | −0.769769 | − | 1.33328i | −0.937688 | − | 0.347478i | \(-0.887038\pi\) |
0.167920 | − | 0.985801i | \(-0.446295\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.705737 | − | 4.00243i | 0.195736 | − | 1.11008i | −0.715630 | − | 0.698479i | \(-0.753860\pi\) |
0.911366 | − | 0.411596i | \(-0.135029\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.93969 | − | 1.62760i | −0.500826 | − | 0.420243i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.82635 | − | 0.664738i | −0.442955 | − | 0.161223i | 0.110907 | − | 0.993831i | \(-0.464624\pi\) |
−0.553862 | + | 0.832608i | \(0.686847\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.23396 | + | 3.74292i | −0.512505 | + | 0.858685i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.500000 | + | 0.181985i | 0.109109 | + | 0.0397124i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.33022 | − | 1.95529i | −0.485885 | − | 0.407706i | 0.366664 | − | 0.930353i | \(-0.380500\pi\) |
−0.852549 | + | 0.522648i | \(0.824944\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.245100 | − | 1.39003i | 0.0490200 | − | 0.278006i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.500000 | − | 0.866025i | −0.0962250 | − | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.51367 | + | 0.550931i | −0.281082 | + | 0.102305i | −0.478714 | − | 0.877971i | \(-0.658897\pi\) |
0.197633 | + | 0.980276i | \(0.436675\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.93969 | − | 8.55580i | 0.887195 | − | 1.53667i | 0.0440180 | − | 0.999031i | \(-0.485984\pi\) |
0.843177 | − | 0.537636i | \(-0.180683\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.91147 | − | 3.28212i | 0.680900 | − | 0.571343i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.233956 | + | 1.32683i | 0.0395457 | + | 0.224275i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.10607 | 1.00383 | 0.501916 | − | 0.864917i | \(-0.332629\pi\) | ||||
0.501916 | + | 0.864917i | \(0.332629\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 4.06418 | 0.650789 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.47178 | − | 8.34689i | −0.229854 | − | 1.30356i | −0.853186 | − | 0.521607i | \(-0.825333\pi\) |
0.623332 | − | 0.781957i | \(-0.285779\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.135630 | − | 0.113807i | 0.0206833 | − | 0.0173554i | −0.632387 | − | 0.774652i | \(-0.717925\pi\) |
0.653071 | + | 0.757297i | \(0.273480\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.26604 | − | 2.19285i | 0.188731 | − | 0.326891i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.10354 | − | 2.58548i | 1.03616 | − | 0.377131i | 0.232735 | − | 0.972540i | \(-0.425232\pi\) |
0.803422 | + | 0.595409i | \(0.203010\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.35844 | + | 5.81699i | 0.479777 | + | 0.830999i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.337496 | − | 1.91404i | 0.0472589 | − | 0.268019i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −7.58512 | − | 6.36467i | −1.04190 | − | 0.874255i | −0.0496783 | − | 0.998765i | \(-0.515820\pi\) |
−0.992218 | + | 0.124510i | \(0.960264\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 12.1493 | + | 4.42198i | 1.63821 | + | 0.596260i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.07398 | − | 1.55007i | −0.539612 | − | 0.205311i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.58512 | − | 1.30488i | −0.466743 | − | 0.169881i | 0.0979333 | − | 0.995193i | \(-0.468777\pi\) |
−0.564676 | + | 0.825312i | \(0.690999\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.6702 | − | 8.95340i | −1.36618 | − | 1.14637i | −0.974018 | − | 0.226471i | \(-0.927281\pi\) |
−0.392167 | − | 0.919894i | \(-0.628274\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.0923963 | + | 0.524005i | −0.0116408 | + | 0.0660185i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 5.14543 | + | 8.91215i | 0.638212 | + | 1.10542i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.59627 | + | 3.49276i | −1.17237 | + | 0.426708i | −0.853501 | − | 0.521091i | \(-0.825525\pi\) |
−0.318869 | + | 0.947799i | \(0.603303\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.52094 | − | 2.63435i | 0.183100 | − | 0.317139i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.92855 | + | 2.45734i | −0.347555 | + | 0.291633i | −0.799807 | − | 0.600257i | \(-0.795065\pi\) |
0.452253 | + | 0.891890i | \(0.350621\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.322481 | − | 1.82888i | −0.0377436 | − | 0.214055i | 0.960103 | − | 0.279647i | \(-0.0902174\pi\) |
−0.997847 | + | 0.0655924i | \(0.979106\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.41147 | 0.162983 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.71688 | −0.309617 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.82635 | − | 10.3578i | −0.205481 | − | 1.16534i | −0.896682 | − | 0.442676i | \(-0.854029\pi\) |
0.691201 | − | 0.722663i | \(-0.257082\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.766044 | − | 0.642788i | 0.0851160 | − | 0.0714208i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −5.73783 | + | 9.93821i | −0.629808 | + | 1.09086i | 0.357782 | + | 0.933805i | \(0.383533\pi\) |
−0.987590 | + | 0.157055i | \(0.949800\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.62449 | − | 1.68317i | 0.501596 | − | 0.182566i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.805407 | − | 1.39501i | −0.0863487 | − | 0.149560i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.02869 | + | 5.83396i | −0.109040 | + | 0.618399i | 0.880489 | + | 0.474067i | \(0.157214\pi\) |
−0.989529 | + | 0.144332i | \(0.953897\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.65657 | − | 1.39003i | −0.173656 | − | 0.145715i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 9.28359 | + | 3.37895i | 0.962663 | + | 0.350381i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.75877 | − | 10.8961i | −0.180446 | − | 1.11792i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.39053 | + | 2.32596i | 0.648860 | + | 0.236166i | 0.645419 | − | 0.763828i | \(-0.276683\pi\) |
0.00344055 | + | 0.999994i | \(0.498905\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.91147 | + | 3.28212i | 0.393118 | + | 0.329865i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.52094 | + | 8.62571i | −0.151340 | + | 0.858290i | 0.810717 | + | 0.585439i | \(0.199078\pi\) |
−0.962056 | + | 0.272851i | \(0.912033\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.92262 | − | 3.33007i | −0.189441 | − | 0.328122i | 0.755623 | − | 0.655007i | \(-0.227334\pi\) |
−0.945064 | + | 0.326885i | \(0.894001\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.26604 | + | 0.460802i | −0.123553 | + | 0.0449697i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −2.83750 | + | 4.91469i | −0.274311 | + | 0.475121i | −0.969961 | − | 0.243260i | \(-0.921783\pi\) |
0.695650 | + | 0.718381i | \(0.255116\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.59833 | + | 1.34115i | −0.153092 | + | 0.128459i | −0.716116 | − | 0.697981i | \(-0.754082\pi\) |
0.563025 | + | 0.826440i | \(0.309638\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.06031 | + | 6.01330i | 0.100640 | + | 0.570757i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.27631 | 0.684498 | 0.342249 | − | 0.939609i | \(-0.388811\pi\) | ||||
0.342249 | + | 0.939609i | \(0.388811\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.70233 | 0.718246 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.705737 | + | 4.00243i | 0.0652454 | + | 0.370025i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.792204 | + | 0.664738i | −0.0726212 | + | 0.0609364i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.53596 | + | 13.0527i | −0.685087 | + | 1.18661i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 7.96451 | − | 2.89884i | 0.718135 | − | 0.261380i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.54323 | − | 7.86911i | −0.406359 | − | 0.703835i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.317734 | + | 1.80196i | −0.0281943 | + | 0.159898i | −0.995654 | − | 0.0931261i | \(-0.970314\pi\) |
0.967460 | + | 0.253024i | \(0.0814251\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.135630 | + | 0.113807i | 0.0119415 | + | 0.0100201i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.25624 | − | 3.00503i | −0.721351 | − | 0.262550i | −0.0448520 | − | 0.998994i | \(-0.514282\pi\) |
−0.676499 | + | 0.736443i | \(0.736504\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.13041 | + | 2.02520i | 0.0980194 | + | 0.175607i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.37939 | + | 0.866025i | 0.204785 | + | 0.0745356i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −9.67546 | − | 8.11867i | −0.826630 | − | 0.693625i | 0.127884 | − | 0.991789i | \(-0.459181\pi\) |
−0.954515 | + | 0.298164i | \(0.903626\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.703211 | − | 3.98811i | 0.0596456 | − | 0.338267i | −0.940353 | − | 0.340201i | \(-0.889505\pi\) |
0.999998 | + | 0.00193468i | \(0.000615830\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.77972 | + | 6.54666i | 0.318309 | + | 0.551328i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −19.5005 | + | 7.09759i | −1.63071 | + | 0.593530i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.03936 | − | 3.53228i | 0.169360 | − | 0.293340i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −5.14543 | + | 4.31753i | −0.424388 | + | 0.356104i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.05391 | + | 5.97702i | 0.0863397 | + | 0.489657i | 0.997059 | + | 0.0766320i | \(0.0244167\pi\) |
−0.910720 | + | 0.413025i | \(0.864472\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.162504 | 0.0132244 | 0.00661219 | − | 0.999978i | \(-0.497895\pi\) | ||||
0.00661219 | + | 0.999978i | \(0.497895\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.94356 | 0.157128 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.34389 | + | 24.6354i | 0.348910 | + | 1.97877i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.10220 | − | 4.28125i | 0.407200 | − | 0.341681i | −0.416069 | − | 0.909333i | \(-0.636593\pi\) |
0.823269 | + | 0.567652i | \(0.192148\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.95084 | − | 8.57510i | 0.392627 | − | 0.680050i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.52094 | + | 0.553579i | −0.119867 | + | 0.0436281i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.224155 | − | 0.388249i | −0.0175572 | − | 0.0304100i | 0.857113 | − | 0.515128i | \(-0.172256\pi\) |
−0.874671 | + | 0.484718i | \(0.838922\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.24510 | + | 12.7326i | −0.174781 | + | 0.991231i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.59627 | − | 2.17853i | −0.200905 | − | 0.168579i | 0.536785 | − | 0.843719i | \(-0.319639\pi\) |
−0.737690 | + | 0.675140i | \(0.764083\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.30541 | − | 1.20307i | −0.254262 | − | 0.0925438i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.819078 | − | 4.28125i | 0.0626364 | − | 0.327395i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.51842 | + | 0.552659i | 0.115443 | + | 0.0420179i | 0.399096 | − | 0.916909i | \(-0.369324\pi\) |
−0.283653 | + | 0.958927i | \(0.591546\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.575322 | − | 0.482753i | −0.0434903 | − | 0.0364927i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.662504 | − | 3.75725i | 0.0497968 | − | 0.282412i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.05690 | + | 1.83061i | 0.0789967 | + | 0.136826i | 0.902817 | − | 0.430024i | \(-0.141495\pi\) |
−0.823821 | + | 0.566851i | \(0.808162\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.22416 | + | 2.99335i | −0.611297 | + | 0.222494i | −0.629071 | − | 0.777348i | \(-0.716564\pi\) |
0.0177739 | + | 0.999842i | \(0.494342\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 6.96451 | − | 12.0629i | 0.514831 | − | 0.891714i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −11.8439 | + | 9.93821i | −0.870780 | + | 0.730671i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.72328 | + | 9.77320i | 0.126019 | + | 0.714687i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.532089 | −0.0387038 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 19.0719 | 1.38000 | 0.689998 | − | 0.723811i | \(-0.257611\pi\) | ||||
0.689998 | + | 0.723811i | \(0.257611\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.13903 | − | 23.4736i | −0.297934 | − | 1.68967i | −0.655032 | − | 0.755601i | \(-0.727345\pi\) |
0.357098 | − | 0.934067i | \(-0.383766\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −7.88326 | + | 6.61484i | −0.564532 | + | 0.473698i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.19459 | − | 3.80115i | 0.156358 | − | 0.270820i | −0.777195 | − | 0.629260i | \(-0.783358\pi\) |
0.933553 | + | 0.358440i | \(0.116691\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −18.8293 | + | 6.85332i | −1.33478 | + | 0.485819i | −0.908164 | − | 0.418615i | \(-0.862516\pi\) |
−0.426613 | + | 0.904434i | \(0.640293\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.10607 | − | 8.84397i | −0.360154 | − | 0.623805i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.148833 | + | 0.844075i | −0.0104460 | + | 0.0592425i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 16.4402 | + | 13.7949i | 1.14823 | + | 0.963480i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.85844 | + | 1.04039i | 0.198675 | + | 0.0723119i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 22.2545 | + | 0.322718i | 1.53938 | + | 0.0223228i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 25.5526 | + | 9.30039i | 1.75912 | + | 0.640266i | 0.999944 | − | 0.0106250i | \(-0.00338212\pi\) |
0.759172 | + | 0.650891i | \(0.225604\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.92855 | − | 2.45734i | −0.200661 | − | 0.168374i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.0778483 | + | 0.441500i | −0.00530921 | + | 0.0301100i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.62836 | − | 4.55245i | −0.178424 | − | 0.309040i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.74510 | − | 0.635164i | 0.117923 | − | 0.0429204i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.94949 | + | 6.84072i | −0.265672 | + | 0.460157i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.20233 | − | 7.72167i | 0.616234 | − | 0.517082i | −0.280383 | − | 0.959888i | \(-0.590462\pi\) |
0.896617 | + | 0.442807i | \(0.146017\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.245100 | + | 1.39003i | 0.0163400 | + | 0.0926687i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −4.34049 | −0.288088 | −0.144044 | − | 0.989571i | \(-0.546011\pi\) | ||||
−0.144044 | + | 0.989571i | \(0.546011\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.29591 | 0.217800 | 0.108900 | − | 0.994053i | \(-0.465267\pi\) | ||||
0.108900 | + | 0.994053i | \(0.465267\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.471782 | − | 2.67561i | −0.0310409 | − | 0.176042i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −11.8209 | + | 9.91890i | −0.774412 | + | 0.649809i | −0.941835 | − | 0.336076i | \(-0.890900\pi\) |
0.167423 | + | 0.985885i | \(0.446456\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.57057 | + | 16.5767i | −0.624315 | + | 1.08135i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 9.88326 | − | 3.59721i | 0.641986 | − | 0.233664i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.91147 | + | 13.7031i | 0.511751 | + | 0.886378i | 0.999907 | + | 0.0136221i | \(0.00433619\pi\) |
−0.488156 | + | 0.872756i | \(0.662330\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.10607 | + | 23.2867i | −0.264495 | + | 1.50003i | 0.505974 | + | 0.862549i | \(0.331133\pi\) |
−0.770469 | + | 0.637477i | \(0.779978\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.766044 | + | 0.642788i | 0.0491418 | + | 0.0412348i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −15.9820 | − | 5.81699i | −1.02106 | − | 0.371634i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 13.4042 | + | 11.5828i | 0.852889 | + | 0.736994i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −10.7836 | − | 3.92490i | −0.683382 | − | 0.248731i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −14.8701 | − | 12.4775i | −0.938589 | − | 0.787570i | 0.0387499 | − | 0.999249i | \(-0.487662\pi\) |
−0.977339 | + | 0.211679i | \(0.932107\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.69712 | + | 15.2961i | −0.169566 | + | 0.961659i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.46064 | + | 4.26195i | 0.154091 | + | 0.266894i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −11.5544 | + | 4.20545i | −0.720742 | + | 0.262329i | −0.676241 | − | 0.736681i | \(-0.736392\pi\) |
−0.0445014 | + | 0.999009i | \(0.514170\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.62449 | − | 2.81369i | 0.100941 | − | 0.174834i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.23396 | − | 1.03541i | 0.0763799 | − | 0.0640904i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.10101 | − | 6.24416i | −0.0678915 | − | 0.385032i | −0.999753 | − | 0.0222179i | \(-0.992927\pi\) |
0.931862 | − | 0.362814i | \(-0.118184\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 25.0719 | 1.54016 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.92396 | −0.362541 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −0.403733 | − | 2.28969i | −0.0246161 | − | 0.139605i | 0.970023 | − | 0.243014i | \(-0.0781360\pi\) |
−0.994639 | + | 0.103409i | \(0.967025\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.4474 | + | 9.60554i | −0.695382 | + | 0.583495i | −0.920456 | − | 0.390847i | \(-0.872182\pi\) |
0.225074 | + | 0.974342i | \(0.427738\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.08125 | − | 1.87278i | 0.0654403 | − | 0.113346i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −6.77244 | + | 2.46497i | −0.408394 | + | 0.148643i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.9829 | + | 20.7550i | 0.719984 | + | 1.24705i | 0.961005 | + | 0.276529i | \(0.0891843\pi\) |
−0.241021 | + | 0.970520i | \(0.577482\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.71554 | + | 9.72930i | −0.102707 | + | 0.582478i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.5804 | + | 16.4299i | 1.16807 | + | 0.980125i | 0.999984 | − | 0.00564805i | \(-0.00179784\pi\) |
0.168083 | + | 0.985773i | \(0.446242\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.05778 | − | 2.56882i | −0.419542 | − | 0.152701i | 0.123619 | − | 0.992330i | \(-0.460550\pi\) |
−0.543160 | + | 0.839629i | \(0.682772\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 10.4251 | − | 3.62414i | 0.617532 | − | 0.214675i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.23783 | − | 1.54244i | −0.250151 | − | 0.0910475i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.1291 | − | 8.49930i | −0.595828 | − | 0.499959i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.18092 | + | 6.69734i | −0.0692269 | + | 0.392605i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −7.38326 | − | 12.7882i | −0.431334 | − | 0.747093i | 0.565654 | − | 0.824643i | \(-0.308624\pi\) |
−0.996989 | + | 0.0775495i | \(0.975290\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.07785 | − | 3.30407i | 0.528533 | − | 0.192370i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.55303 | + | 4.42198i | −0.148142 | + | 0.256590i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −9.47044 | + | 7.94664i | −0.547690 | + | 0.459566i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.0163589 | − | 0.0927760i | −0.000942912 | − | 0.00534752i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −8.75877 | −0.503178 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 35.2695 | 2.01953 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.957234 | − | 5.42874i | −0.0546322 | − | 0.309835i | 0.945231 | − | 0.326404i | \(-0.105837\pi\) |
−0.999863 | + | 0.0165689i | \(0.994726\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.94562 | − | 2.47167i | 0.167571 | − | 0.140608i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 8.69981 | − | 15.0685i | 0.493321 | − | 0.854457i | −0.506650 | − | 0.862152i | \(-0.669116\pi\) |
0.999970 | + | 0.00769537i | \(0.00244954\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −14.9820 | + | 5.45302i | −0.846835 | + | 0.308223i | −0.728749 | − | 0.684780i | \(-0.759898\pi\) |
−0.118086 | + | 0.993003i | \(0.537676\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.673648 | − | 1.16679i | −0.0379558 | − | 0.0657413i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0.342711 | − | 1.94361i | 0.0192486 | − | 0.109164i | −0.973670 | − | 0.227963i | \(-0.926793\pi\) |
0.992918 | + | 0.118799i | \(0.0379045\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.30066 | + | 5.28688i | 0.352769 | + | 0.296009i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.33275 | − | 1.94096i | −0.297645 | − | 0.108334i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 6.56805 | − | 5.35089i | 0.365456 | − | 0.297732i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.39053 | − | 1.96199i | −0.299013 | − | 0.108832i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.59833 | − | 1.34115i | −0.0883876 | − | 0.0741660i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.698463 | − | 3.96118i | 0.0385075 | − | 0.218387i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.418748 | − | 0.725293i | −0.0230165 | − | 0.0398657i | 0.854288 | − | 0.519800i | \(-0.173994\pi\) |
−0.877304 | + | 0.479935i | \(0.840660\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −5.73783 | + | 2.08840i | −0.314431 | + | 0.114443i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 12.9290 | − | 22.3937i | 0.706388 | − | 1.22350i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.54916 | + | 2.13900i | −0.138862 | + | 0.116519i | −0.709573 | − | 0.704632i | \(-0.751112\pi\) |
0.570711 | + | 0.821151i | \(0.306668\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.26352 | + | 7.16577i | 0.0686249 | + | 0.389191i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −50.4448 | −2.73174 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.29860 | 0.394087 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.33750 | + | 7.58532i | 0.0720084 | + | 0.408380i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.07011 | + | 2.57613i | −0.164812 | + | 0.138294i | −0.721464 | − | 0.692452i | \(-0.756530\pi\) |
0.556652 | + | 0.830746i | \(0.312086\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.9513 | − | 24.1644i | 0.746796 | − | 1.29349i | −0.202555 | − | 0.979271i | \(-0.564924\pi\) |
0.949351 | − | 0.314218i | \(-0.101742\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.81908 | + | 1.39003i | −0.203847 | + | 0.0741943i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.47178 | − | 11.2095i | −0.344458 | − | 0.596619i | 0.640797 | − | 0.767710i | \(-0.278604\pi\) |
−0.985255 | + | 0.171091i | \(0.945271\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.68092 | − | 9.53298i | 0.0892141 | − | 0.505958i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.792204 | − | 0.664738i | −0.0419279 | − | 0.0351816i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10.7562 | + | 3.91495i | 0.567693 | + | 0.206623i | 0.609890 | − | 0.792486i | \(-0.291214\pi\) |
−0.0421972 | + | 0.999109i | \(0.513436\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.01889 | − | 16.7230i | −0.474678 | − | 0.880159i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −14.1630 | − | 5.15490i | −0.743363 | − | 0.270562i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.60220 | + | 3.02260i | 0.188548 | + | 0.158210i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.96657 | − | 28.1668i | 0.259253 | − | 1.47030i | −0.525663 | − | 0.850693i | \(-0.676183\pi\) |
0.784916 | − | 0.619602i | \(-0.212706\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.23783 | + | 7.34013i | 0.220612 | + | 0.382112i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.95084 | + | 1.80196i | −0.257035 | + | 0.0935530i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.28312 | − | 10.8827i | 0.325328 | − | 0.563484i | −0.656251 | − | 0.754543i | \(-0.727859\pi\) |
0.981579 | + | 0.191059i | \(0.0611921\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.96064 | − | 5.84067i | 0.359446 | − | 0.301611i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.13681 | + | 6.44718i | 0.0585488 | + | 0.332047i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.19934 | 0.112973 | 0.0564863 | − | 0.998403i | \(-0.482010\pi\) | ||||
0.0564863 | + | 0.998403i | \(0.482010\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.82976 | −0.0937412 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.02940 | + | 5.83802i | 0.0525999 | + | 0.298309i | 0.999747 | − | 0.0224905i | \(-0.00715956\pi\) |
−0.947147 | + | 0.320799i | \(0.896048\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.26991 | − | 4.42198i | 0.268580 | − | 0.225365i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.0885259 | + | 0.153331i | −0.00450002 | + | 0.00779427i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 31.1215 | − | 11.3273i | 1.57793 | − | 0.574318i | 0.603174 | − | 0.797610i | \(-0.293903\pi\) |
0.974752 | + | 0.223292i | \(0.0716804\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.95605 | + | 5.12003i | 0.149494 | + | 0.258931i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.52569 | − | 8.65263i | 0.0769610 | − | 0.436467i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 20.4008 | + | 17.1183i | 1.02648 | + | 0.861315i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 24.4786 | + | 8.90950i | 1.22855 | + | 0.447155i | 0.873100 | − | 0.487541i | \(-0.162106\pi\) |
0.355448 | + | 0.934696i | \(0.384328\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.79813 | + | 1.46491i | −0.0900193 | + | 0.0733374i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 15.0052 | + | 5.46145i | 0.749325 | + | 0.272732i | 0.688322 | − | 0.725406i | \(-0.258348\pi\) |
0.0610031 | + | 0.998138i | \(0.480570\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −30.7579 | − | 25.8089i | −1.53216 | − | 1.28563i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.439693 | + | 2.49362i | −0.0218485 | + | 0.123909i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −15.5890 | − | 27.0009i | −0.772718 | − | 1.33839i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.77079 | − | 1.00849i | 0.137007 | − | 0.0498664i | −0.272607 | − | 0.962126i | \(-0.587886\pi\) |
0.409614 | + | 0.912259i | \(0.365664\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.31521 | − | 10.9383i | 0.311506 | − | 0.539545i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.55509 | + | 1.30488i | −0.0765211 | + | 0.0642088i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.04576 | − | 28.6159i | −0.247687 | − | 1.40470i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.04963 | 0.198311 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 33.4962 | 1.63640 | 0.818198 | − | 0.574937i | \(-0.194973\pi\) | ||||
0.818198 | + | 0.574937i | \(0.194973\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.12877 | + | 17.7441i | 0.152487 | + | 0.864795i | 0.961048 | + | 0.276383i | \(0.0891357\pi\) |
−0.808561 | + | 0.588412i | \(0.799753\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.79086 | + | 4.85911i | −0.281561 | + | 0.236258i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.37164 | + | 2.37576i | −0.0665345 | + | 0.115241i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.96451 | + | 2.53487i | −0.337036 | + | 0.122671i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −10.3760 | − | 17.9717i | −0.500957 | − | 0.867683i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −3.70233 | + | 20.9970i | −0.178335 | + | 1.01139i | 0.755888 | + | 0.654701i | \(0.227205\pi\) |
−0.934223 | + | 0.356688i | \(0.883906\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −16.8931 | − | 14.1750i | −0.811828 | − | 0.681205i | 0.139215 | − | 0.990262i | \(-0.455542\pi\) |
−0.951043 | + | 0.309057i | \(0.899987\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.83275 | + | 1.39501i | 0.183766 | + | 0.0668854i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 12.5241 | − | 4.35381i | 0.599109 | − | 0.208271i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.18257 | − | 1.15836i | −0.151896 | − | 0.0552856i | 0.264953 | − | 0.964261i | \(-0.414643\pi\) |
−0.416849 | + | 0.908976i | \(0.636866\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.14543 | − | 4.31753i | −0.245020 | − | 0.205597i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 5.23799 | − | 29.7061i | 0.248864 | − | 1.41138i | −0.562480 | − | 0.826811i | \(-0.690153\pi\) |
0.811344 | − | 0.584569i | \(-0.198736\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.50000 | − | 12.9904i | −0.355534 | − | 0.615803i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −5.70321 | + | 2.07580i | −0.269753 | + | 0.0981819i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 15.4559 | − | 26.7704i | 0.729409 | − | 1.26337i | −0.227725 | − | 0.973725i | \(-0.573129\pi\) |
0.957134 | − | 0.289647i | \(-0.0935380\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −33.1523 | + | 27.8181i | −1.56108 | + | 1.30990i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.0282185 | + | 0.160035i | 0.00132582 | + | 0.00751910i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 5.47565 | 0.256703 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −39.0479 | −1.82658 | −0.913291 | − | 0.407307i | \(-0.866468\pi\) | ||||
−0.913291 | + | 0.407307i | \(0.866468\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.337496 | + | 1.91404i | 0.0157530 | + | 0.0893395i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.15476 | + | 0.968961i | −0.0537827 | + | 0.0451290i | −0.669283 | − | 0.743008i | \(-0.733399\pi\) |
0.615500 | + | 0.788137i | \(0.288954\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.64156 | + | 2.84326i | −0.0762897 | + | 0.132138i | −0.901646 | − | 0.432474i | \(-0.857641\pi\) |
0.825357 | + | 0.564612i | \(0.190974\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −23.5069 | + | 8.55580i | −1.09010 | + | 0.396766i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −11.4436 | − | 19.8208i | −0.529545 | − | 0.917199i | −0.999406 | − | 0.0344584i | \(-0.989029\pi\) |
0.469861 | − | 0.882740i | \(-0.344304\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.943563 | + | 5.35121i | −0.0435697 | + | 0.247096i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.10220 | + | 4.28125i | 0.235097 | + | 0.197270i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.849518 | − | 0.309199i | −0.0390609 | − | 0.0142170i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.65523 | + | 4.02266i | 0.213597 | + | 0.184572i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 9.30453 | + | 3.38657i | 0.426025 | + | 0.155060i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 7.39827 | + | 6.20789i | 0.338036 | + | 0.283646i | 0.795965 | − | 0.605343i | \(-0.206964\pi\) |
−0.457929 | + | 0.888989i | \(0.651409\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.30928 | − | 24.4391i | 0.196486 | − | 1.11433i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.809278 | − | 1.40171i | −0.0368234 | − | 0.0637800i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −16.1814 | + | 5.88954i | −0.734759 | + | 0.267430i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.2554 | + | 19.4949i | −0.510029 | + | 0.883397i | 0.489903 | + | 0.871777i | \(0.337032\pi\) |
−0.999932 | + | 0.0116199i | \(0.996301\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.343426 | − | 0.288169i | 0.0155303 | − | 0.0130314i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.26264 | − | 7.16079i | −0.0569822 | − | 0.323162i | 0.942971 | − | 0.332876i | \(-0.108019\pi\) |
−0.999953 | + | 0.00971390i | \(0.996908\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.13072 | 0.141001 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −12.9290 | −0.581116 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.353226 | + | 2.00324i | 0.0158444 | + | 0.0898578i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.81386 | − | 8.23481i | 0.439329 | − | 0.368641i | −0.396129 | − | 0.918195i | \(-0.629647\pi\) |
0.835458 | + | 0.549554i | \(0.185202\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.69459 | − | 2.93512i | 0.0757088 | − | 0.131132i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 7.86571 | − | 2.86289i | 0.350715 | − | 0.127650i | −0.160655 | − | 0.987011i | \(-0.551361\pi\) |
0.511370 | + | 0.859361i | \(0.329138\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.0890 | − | 19.2067i | −0.493454 | − | 0.854687i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.610815 | − | 3.46410i | 0.0271272 | − | 0.153846i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 10.4816 | + | 8.79509i | 0.464588 | + | 0.389836i | 0.844816 | − | 0.535057i | \(-0.179710\pi\) |
−0.380228 | + | 0.924893i | \(0.624154\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.928548 | − | 0.337964i | −0.0410766 | − | 0.0149506i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 4.35844 | + | 0.0632028i | 0.192430 | + | 0.00279047i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 9.14930 | + | 3.33007i | 0.403166 | + | 0.146741i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −29.5685 | − | 24.8109i | −1.30042 | − | 1.09118i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.280592 | + | 1.59132i | −0.0123166 | + | 0.0698511i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 8.48205 | + | 14.6913i | 0.371605 | + | 0.643639i | 0.989813 | − | 0.142376i | \(-0.0454741\pi\) |
−0.618207 | + | 0.786015i | \(0.712141\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.67112 | + | 1.33618i | −0.160527 | + | 0.0584270i | −0.421034 | − | 0.907045i | \(-0.638333\pi\) |
0.260507 | + | 0.965472i | \(0.416110\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.375515 | − | 0.650411i | 0.0163888 | − | 0.0283863i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −14.7090 | + | 12.3423i | −0.640733 | + | 0.537639i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.38713 | − | 13.5381i | −0.103788 | − | 0.588611i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.81521 | 0.165566 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −34.4466 | −1.49205 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.49525 | − | 14.1513i | −0.107879 | − | 0.611813i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.61927 | + | 1.35873i | −0.0698767 | + | 0.0586335i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 17.1484 | − | 29.7019i | 0.738635 | − | 1.27935i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.4017 | + | 4.51384i | −0.533190 | + | 0.194065i | −0.594562 | − | 0.804050i | \(-0.702675\pi\) |
0.0613724 | + | 0.998115i | \(0.480452\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −4.37598 | − | 7.57942i | −0.187791 | − | 0.325264i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.917404 | − | 5.20286i | 0.0392973 | − | 0.222866i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.1878 | + | 20.2960i | 1.03420 | + | 0.867793i | 0.991344 | − | 0.131289i | \(-0.0419115\pi\) |
0.0428509 | + | 0.999081i | \(0.486356\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 13.0890 | + | 4.76400i | 0.558625 | + | 0.203323i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.31938 | − | 6.89630i | 0.0562076 | − | 0.293792i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.25877 | − | 1.91404i | −0.223626 | − | 0.0813931i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −11.8439 | − | 9.93821i | −0.502745 | − | 0.421853i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 6.18748 | − | 35.0909i | 0.262172 | − | 1.48685i | −0.514797 | − | 0.857312i | \(-0.672133\pi\) |
0.776969 | − | 0.629539i | \(-0.216756\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.359785 | − | 0.623166i | −0.0152173 | − | 0.0263571i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.32547 | + | 3.39420i | −0.393722 | + | 0.143303i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −10.9957 | + | 19.0451i | −0.463414 | + | 0.802657i | −0.999128 | − | 0.0417423i | \(-0.986709\pi\) |
0.535714 | + | 0.844399i | \(0.320042\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −14.1138 | + | 11.8429i | −0.593772 | + | 0.498234i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.0923963 | − | 0.524005i | −0.00388028 | − | 0.0220062i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 28.7588 | 1.20563 | 0.602815 | − | 0.797881i | \(-0.294046\pi\) | ||||
0.602815 | + | 0.797881i | \(0.294046\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.30365 | −0.305648 | −0.152824 | − | 0.988253i | \(-0.548837\pi\) | ||||
−0.152824 | + | 0.988253i | \(0.548837\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.31180 | + | 18.7822i | 0.138353 | + | 0.784637i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −3.28905 | + | 2.75984i | −0.137163 | + | 0.115093i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.7545 | + | 27.2876i | −0.655868 | + | 1.13600i | 0.325807 | + | 0.945436i | \(0.394364\pi\) |
−0.981675 | + | 0.190561i | \(0.938969\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 22.3983 | − | 8.15230i | 0.930840 | − | 0.338798i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.05303 | + | 5.28801i | 0.126661 | + | 0.219384i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.77941 | + | 49.7905i | −0.363606 | + | 2.06211i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −7.88326 | − | 6.61484i | −0.325933 | − | 0.273490i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 25.6434 | + | 9.33342i | 1.05842 | + | 0.385232i | 0.811833 | − | 0.583890i | \(-0.198470\pi\) |
0.246583 | + | 0.969122i | \(0.420692\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 20.9886 | + | 37.6021i | 0.864820 | + | 1.54937i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.12449 | + | 1.50119i | 0.169659 | + | 0.0617507i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 26.6366 | + | 22.3507i | 1.09383 | + | 0.917834i | 0.996995 | − | 0.0774657i | \(-0.0246828\pi\) |
0.0968375 | + | 0.995300i | \(0.469127\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.454707 | − | 2.57877i | 0.0186412 | − | 0.105719i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −10.0189 | − | 17.3532i | −0.410046 | − | 0.710220i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 14.9402 | − | 5.43777i | 0.610438 | − | 0.222181i | −0.0182567 | − | 0.999833i | \(-0.505812\pi\) |
0.628695 | + | 0.777652i | \(0.283589\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.3464 | − | 21.3846i | 0.503621 | − | 0.872297i | −0.496370 | − | 0.868111i | \(-0.665334\pi\) |
0.999991 | − | 0.00418616i | \(-0.00133250\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.82295 | − | 6.56423i | 0.318575 | − | 0.267316i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −6.62701 | − | 37.5836i | −0.269426 | − | 1.52799i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.01455 | −0.162945 | −0.0814727 | − | 0.996676i | \(-0.525962\pi\) | ||||
−0.0814727 | + | 0.996676i | \(0.525962\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.857097 | −0.0347313 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.33497 | − | 30.2561i | −0.215830 | − | 1.22403i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −30.8082 | + | 25.8511i | −1.24433 | + | 1.04412i | −0.247157 | + | 0.968976i | \(0.579496\pi\) |
−0.997173 | + | 0.0751409i | \(0.976059\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −10.7306 | + | 18.5859i | −0.432698 | + | 0.749454i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 20.8427 | − | 7.58613i | 0.839096 | − | 0.305406i | 0.113509 | − | 0.993537i | \(-0.463791\pi\) |
0.725586 | + | 0.688131i | \(0.241569\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −11.6177 | − | 20.1224i | −0.466954 | − | 0.808788i | 0.532333 | − | 0.846535i | \(-0.321315\pi\) |
−0.999287 | + | 0.0377469i | \(0.987982\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.528218 | + | 2.99568i | −0.0211967 | + | 0.120212i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 2.41463 | + | 2.02611i | 0.0967401 | + | 0.0811746i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 28.2520 | + | 10.2829i | 1.13008 | + | 0.411315i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.54664 | + | 21.9724i | 0.141639 | + | 0.877494i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −11.1518 | − | 4.05893i | −0.444652 | − | 0.161840i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.4893 | − | 18.0317i | −0.855476 | − | 0.717830i | 0.105512 | − | 0.994418i | \(-0.466352\pi\) |
−0.960989 | + | 0.276588i | \(0.910796\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −4.72193 | + | 26.7794i | −0.187680 | + | 1.06439i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −2.31655 | − | 4.01239i | −0.0919295 | − | 0.159227i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 25.6523 | − | 9.33667i | 1.01638 | − | 0.369932i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.91147 | − | 3.31077i | 0.0756167 | − | 0.130972i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 33.3068 | − | 27.9477i | 1.31554 | − | 1.10387i | 0.328309 | − | 0.944570i | \(-0.393521\pi\) |
0.987230 | − | 0.159299i | \(-0.0509233\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.83322 | − | 38.7531i | −0.269476 | − | 1.52827i | −0.755980 | − | 0.654595i | \(-0.772839\pi\) |
0.486504 | − | 0.873678i | \(-0.338272\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.448311 | −0.0176522 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −18.8862 | −0.742493 | −0.371246 | − | 0.928534i | \(-0.621069\pi\) | ||||
−0.371246 | + | 0.928534i | \(0.621069\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.38279 | + | 19.1847i | 0.132786 | + | 0.753067i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.02687 | − | 3.37895i | 0.157826 | − | 0.132431i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 23.3714 | − | 40.4804i | 0.914593 | − | 1.58412i | 0.107098 | − | 0.994248i | \(-0.465844\pi\) |
0.807495 | − | 0.589874i | \(-0.200823\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 20.9055 | − | 7.60900i | 0.816847 | − | 0.297308i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.928548 | + | 1.60829i | 0.0362261 | + | 0.0627455i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −0.362778 | + | 2.05742i | −0.0141318 | + | 0.0801455i | −0.991058 | − | 0.133432i | \(-0.957400\pi\) |
0.976926 | + | 0.213577i | \(0.0685115\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.53596 | − | 8.00162i | −0.370906 | − | 0.311227i | 0.438214 | − | 0.898871i | \(-0.355611\pi\) |
−0.809120 | + | 0.587644i | \(0.800056\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −7.42262 | − | 2.70161i | −0.288271 | − | 0.104922i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −5.48886 | − | 2.08840i | −0.212849 | − | 0.0809846i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.60442 | + | 1.67587i | 0.178284 | + | 0.0648900i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 9.20233 | + | 7.72167i | 0.355783 | + | 0.298537i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −12.3503 | + | 70.0420i | −0.476778 | + | 2.70394i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.41060 | + | 9.37143i | 0.208563 | + | 0.361242i | 0.951262 | − | 0.308383i | \(-0.0997880\pi\) |
−0.742699 | + | 0.669625i | \(0.766455\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.32635 | + | 0.482753i | −0.0510513 | + | 0.0185812i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −2.18092 | + | 3.77747i | −0.0838196 | + | 0.145180i | −0.904888 | − | 0.425651i | \(-0.860045\pi\) |
0.821068 | + | 0.570830i | \(0.193379\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.77197 | − | 2.32596i | 0.106379 | − | 0.0892623i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.753718 | − | 4.27455i | −0.0288825 | − | 0.163801i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 44.6441 | 1.70826 | 0.854130 | − | 0.520059i | \(-0.174090\pi\) | ||||
0.854130 | + | 0.520059i | \(0.174090\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 31.9813 | 1.22194 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.572329 | + | 3.24584i | 0.0218357 | + | 0.123837i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −30.8273 | + | 25.8672i | −1.17443 | + | 0.985460i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.1604 | − | 21.0625i | 0.462605 | − | 0.801256i | −0.536485 | − | 0.843910i | \(-0.680248\pi\) |
0.999090 | + | 0.0426544i | \(0.0135815\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.55303 | − | 0.929228i | 0.0969817 | − | 0.0352985i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 5.12701 | + | 8.88024i | 0.194479 | + | 0.336847i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.86050 | + | 16.2227i | −0.108349 | + | 0.614479i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −11.8209 | − | 9.91890i | −0.447107 | − | 0.375167i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.1386 | + | 8.05780i | 0.836164 | + | 0.304339i | 0.724386 | − | 0.689394i | \(-0.242123\pi\) |
0.111778 | + | 0.993733i | \(0.464345\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.6407 | + | 22.8545i | −0.514468 | + | 0.861974i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −17.9868 | − | 6.54666i | −0.677422 | − | 0.246561i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 3.57011 | + | 2.99568i | 0.134268 | + | 0.112664i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.06851 | + | 6.05985i | −0.0401289 | + | 0.227582i | −0.998276 | − | 0.0586939i | \(-0.981306\pi\) |
0.958147 | + | 0.286276i | \(0.0924175\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 5.25877 | + | 9.10846i | 0.197219 | + | 0.341594i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −28.2396 | + | 10.2784i | −1.05758 | + | 0.384929i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 26.2729 | − | 45.5060i | 0.982551 | − | 1.70183i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −12.1211 | + | 10.1708i | −0.452670 | + | 0.379835i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −5.65657 | − | 32.0800i | −0.210955 | − | 1.19638i | −0.887790 | − | 0.460249i | \(-0.847760\pi\) |
0.676835 | − | 0.736134i | \(-0.263351\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.04601 | −0.0761973 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −23.6459 | −0.879400 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.394811 | + | 2.23908i | 0.0146629 | + | 0.0831574i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −24.6896 | + | 20.7170i | −0.915686 | + | 0.768352i | −0.973192 | − | 0.229993i | \(-0.926130\pi\) |
0.0575058 | + | 0.998345i | \(0.481685\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.323359 | + | 0.117693i | −0.0119599 | + | 0.00435303i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.89053 | − | 8.47065i | −0.180636 | − | 0.312870i | 0.761461 | − | 0.648210i | \(-0.224482\pi\) |
−0.942097 | + | 0.335340i | \(0.891149\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 2.95336 | − | 16.7494i | 0.108936 | − | 0.617809i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 39.9445 | + | 33.5174i | 1.47137 | + | 1.23463i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 26.0993 | + | 9.49935i | 0.960077 | + | 0.349439i | 0.774064 | − | 0.633108i | \(-0.218221\pi\) |
0.186013 | + | 0.982547i | \(0.440443\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −9.07919 | + | 15.2119i | −0.333532 | + | 0.558823i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −30.3542 | − | 11.0480i | −1.11359 | − | 0.405312i | −0.281278 | − | 0.959626i | \(-0.590758\pi\) |
−0.832308 | + | 0.554314i | \(0.812981\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.7724 | − | 9.87825i | −0.431309 | − | 0.361911i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.99273 | − | 11.3013i | 0.0729100 | − | 0.413493i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.50980 | + | 2.61505i | 0.0551669 | + | 0.0955519i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.27497 | − | 1.19199i | 0.119505 | − | 0.0434964i | −0.281575 | − | 0.959539i | \(-0.590857\pi\) |
0.401081 | + | 0.916043i | \(0.368635\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 9.70574 | − | 16.8108i | 0.353697 | − | 0.612621i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.315207 | + | 0.264490i | −0.0114716 | + | 0.00962579i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.41353 | − | 36.3730i | −0.233104 | − | 1.32200i | −0.846570 | − | 0.532277i | \(-0.821337\pi\) |
0.613467 | − | 0.789721i | \(-0.289775\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −15.5321 | −0.563779 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 31.3429 | 1.13618 | 0.568089 | − | 0.822967i | \(-0.307683\pi\) | ||||
0.568089 | + | 0.822967i | \(0.307683\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.192782 | + | 1.09332i | 0.00697917 | + | 0.0395808i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.76991 | + | 3.16333i | −0.136302 | + | 0.114371i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −7.75284 | + | 13.4283i | −0.279939 | + | 0.484868i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 29.8282 | − | 10.8566i | 1.07563 | − | 0.391498i | 0.257351 | − | 0.966318i | \(-0.417150\pi\) |
0.818280 | + | 0.574820i | \(0.194928\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.14796 | − | 10.6486i | −0.221413 | − | 0.383499i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 1.90269 | − | 10.7907i | 0.0684351 | − | 0.388115i | −0.931281 | − | 0.364301i | \(-0.881308\pi\) |
0.999716 | − | 0.0238140i | \(-0.00758095\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −10.6821 | − | 8.96335i | −0.383713 | − | 0.321973i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3.05303 | + | 1.11121i | 0.109527 | + | 0.0398646i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 34.5296 | + | 13.1378i | 1.23715 | + | 0.470711i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 18.3430 | + | 6.67631i | 0.656365 | + | 0.238897i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.23396 | + | 1.03541i | 0.0440980 | + | 0.0370026i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.92855 | + | 16.6086i | −0.104524 | + | 0.592787i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.1771 | + | 40.1439i | 0.826175 | + | 1.43098i | 0.901018 | + | 0.433781i | \(0.142821\pi\) |
−0.0748436 | + | 0.997195i | \(0.523846\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 5.95811 | − | 2.16858i | 0.212114 | − | 0.0772033i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.93582 | − | 3.35294i | 0.0688299 | − | 0.119217i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −43.3658 | + | 36.3882i | −1.53996 | + | 1.29218i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 4.35369 | + | 24.6910i | 0.154410 | + | 0.875700i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −3.47296 | −0.123019 | −0.0615093 | − | 0.998107i | \(-0.519591\pi\) | ||||
−0.0615093 | + | 0.998107i | \(0.519591\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −14.6922 | −0.519774 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.02869 | − | 5.83396i | −0.0363468 | − | 0.206133i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −7.26399 | + | 6.09521i | −0.256340 | + | 0.215095i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.04916 | − | 3.54925i | 0.0722235 | − | 0.125095i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 2.18479 | − | 0.795199i | 0.0769083 | − | 0.0279923i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 25.9748 | + | 44.9896i | 0.913224 | + | 1.58175i | 0.809480 | + | 0.587147i | \(0.199749\pi\) |
0.103744 | + | 0.994604i | \(0.466918\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.91329 | + | 16.5221i | −0.102299 | + | 0.580168i | 0.889965 | + | 0.456028i | \(0.150728\pi\) |
−0.992265 | + | 0.124140i | \(0.960383\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −11.4474 | − | 9.60554i | −0.401479 | − | 0.336881i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.06670 | + | 0.388249i | 0.0373650 | + | 0.0135998i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.122979 | + | 0.761889i | 0.00430249 | + | 0.0266551i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.03209 | + | 0.739620i | 0.0710069 | + | 0.0258444i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −28.5330 | − | 23.9420i | −0.995809 | − | 0.835583i | −0.00941101 | − | 0.999956i | \(-0.502996\pi\) |
−0.986398 | + | 0.164372i | \(0.947440\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.763985 | − | 4.33277i | 0.0266308 | − | 0.151031i | −0.968593 | − | 0.248652i | \(-0.920012\pi\) |
0.995224 | + | 0.0976214i | \(0.0311234\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −3.60354 | − | 6.24152i | −0.125459 | − | 0.217302i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −13.0265 | + | 4.74125i | −0.452975 | + | 0.164869i | −0.558424 | − | 0.829555i | \(-0.688594\pi\) |
0.105450 | + | 0.994425i | \(0.466372\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.18850 | + | 14.1829i | −0.284398 | + | 0.492592i | −0.972463 | − | 0.233057i | \(-0.925127\pi\) |
0.688065 | + | 0.725649i | \(0.258461\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −18.3589 | + | 15.4050i | −0.636863 | + | 0.534392i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −2.26692 | − | 12.8564i | −0.0785442 | − | 0.445446i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.58172 | 0.296983 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −9.87939 | −0.341482 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.64883 | + | 37.7074i | 0.229543 | + | 1.30180i | 0.853807 | + | 0.520590i | \(0.174288\pi\) |
−0.624263 | + | 0.781214i | \(0.714601\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.2276 | + | 16.9730i | −0.697504 | + | 0.585275i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −12.7802 | + | 22.1359i | −0.440173 | + | 0.762402i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 8.36959 | − | 3.04628i | 0.287922 | − | 0.104795i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.00980 | + | 6.94518i | 0.137778 | + | 0.238639i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.30423 | − | 7.39663i | 0.0447609 | − | 0.253852i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −14.2285 | − | 11.9391i | −0.487746 | − | 0.409268i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −20.7579 | − | 7.55526i | −0.710737 | − | 0.258687i | −0.0387487 | − | 0.999249i | \(-0.512337\pi\) |
−0.671988 | + | 0.740562i | \(0.734559\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 5.37939 | + | 9.63744i | 0.183971 | + | 0.329593i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −42.2934 | − | 15.3936i | −1.44472 | − | 0.525834i | −0.503606 | − | 0.863933i | \(-0.667994\pi\) |
−0.941110 | + | 0.338100i | \(0.890216\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.2358 | + | 10.2670i | 0.417479 | + | 0.350306i | 0.827203 | − | 0.561903i | \(-0.189931\pi\) |
−0.409724 | + | 0.912209i | \(0.634375\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.783119 | − | 4.44129i | 0.0266886 | − | 0.151359i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 20.6288 | + | 35.7302i | 0.702213 | + | 1.21627i | 0.967688 | + | 0.252151i | \(0.0811380\pi\) |
−0.265475 | + | 0.964118i | \(0.585529\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.84477 | + | 1.39938i | −0.130726 | + | 0.0475804i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 6.61128 | − | 11.4511i | 0.224531 | − | 0.388899i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −41.1391 | + | 34.5198i | −1.39555 | + | 1.17100i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.20708 | + | 40.8734i | 0.244203 | + | 1.38494i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −6.80066 | −0.230167 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −4.83481 | −0.163446 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 8.01650 | + | 45.4638i | 0.270698 | + | 1.53520i | 0.752304 | + | 0.658817i | \(0.228943\pi\) |
−0.481606 | + | 0.876388i | \(0.659946\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 11.3118 | − | 9.49173i | 0.381538 | − | 0.320148i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.47906 | + | 16.4182i | −0.319357 | + | 0.553143i | −0.980354 | − | 0.197245i | \(-0.936800\pi\) |
0.660997 | + | 0.750389i | \(0.270134\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 32.9359 | − | 11.9877i | 1.10838 | − | 0.403418i | 0.277981 | − | 0.960586i | \(-0.410335\pi\) |
0.830399 | + | 0.557169i | \(0.188112\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.83022 | + | 8.36619i | 0.162366 | + | 0.281226i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 3.09745 | − | 17.5665i | 0.104002 | − | 0.589825i | −0.887612 | − | 0.460592i | \(-0.847637\pi\) |
0.991614 | − | 0.129234i | \(-0.0412517\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.745815 | + | 0.625813i | 0.0250138 | + | 0.0209891i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −4.79813 | − | 1.74638i | −0.160744 | − | 0.0585059i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −6.19176 | + | 32.3638i | −0.207199 | + | 1.08301i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −5.02956 | − | 1.83061i | −0.168120 | − | 0.0611906i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −9.47044 | − | 7.94664i | −0.316209 | − | 0.265331i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −2.76341 | + | 15.6721i | −0.0921650 | + | 0.522693i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 9.62226 | + | 16.6662i | 0.320564 | + | 0.555233i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.0885259 | − | 0.0322208i | 0.00294596 | − | 0.00107224i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 11.0804 | − | 19.1918i | 0.368324 | − | 0.637956i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.9172 | − | 9.16058i | 0.362498 | − | 0.304172i | −0.443287 | − | 0.896380i | \(-0.646188\pi\) |
0.805786 | + | 0.592207i | \(0.201743\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.52094 | − | 8.62571i | −0.0504465 | − | 0.286097i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.4466 | 0.544899 | 0.272449 | − | 0.962170i | \(-0.412166\pi\) | ||||
0.272449 | + | 0.962170i | \(0.412166\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 58.5954 | 1.93923 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 6.12449 | + | 34.7337i | 0.202469 | + | 1.14826i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −3.58125 | + | 3.00503i | −0.118263 | + | 0.0992347i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.9500 | + | 29.3582i | −0.559128 | + | 0.968437i | 0.438442 | + | 0.898760i | \(0.355530\pi\) |
−0.997570 | + | 0.0696779i | \(0.977803\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5.18004 | − | 1.88538i | 0.170688 | − | 0.0621255i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 7.76857 | + | 13.4556i | 0.255706 | + | 0.442895i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.49660 | − | 8.48762i | 0.0492078 | − | 0.279071i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 2.94562 | + | 2.47167i | 0.0967469 | + | 0.0811803i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −20.2358 | − | 7.36522i | −0.663914 | − | 0.241645i | −0.0119887 | − | 0.999928i | \(-0.503816\pi\) |
−0.651925 | + | 0.758283i | \(0.726038\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −29.2751 | − | 0.424525i | −0.959454 | − | 0.0139133i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 16.3503 | + | 5.95102i | 0.535284 | + | 0.194828i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −19.2494 | − | 16.1522i | −0.629524 | − | 0.528233i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1.31386 | − | 7.45129i | 0.0429220 | − | 0.243423i | −0.955797 | − | 0.294028i | \(-0.905004\pi\) |
0.998719 | + | 0.0506054i | \(0.0161151\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −7.97178 | − | 13.8075i | −0.260149 | − | 0.450592i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −17.9740 | + | 6.54200i | −0.585936 | + | 0.213263i | −0.617941 | − | 0.786225i | \(-0.712033\pi\) |
0.0320052 | + | 0.999488i | \(0.489811\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −12.8910 | + | 22.3279i | −0.419789 | + | 0.727095i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.03209 | − | 0.866025i | 0.0335739 | − | 0.0281718i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −10.4549 | − | 59.2925i | −0.339738 | − | 1.92675i | −0.374214 | − | 0.927342i | \(-0.622088\pi\) |
0.0344768 | − | 0.999405i | \(-0.489024\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −7.54757 | −0.245005 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1.97359 | 0.0639981 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −3.42918 | − | 19.4478i | −0.111082 | − | 0.629977i | −0.988616 | − | 0.150462i | \(-0.951924\pi\) |
0.877534 | − | 0.479515i | \(-0.159187\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −36.9937 | + | 31.0414i | −1.19709 | + | 1.00448i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −4.11246 | + | 7.12300i | −0.132937 | + | 0.230254i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −6.31521 | + | 2.29855i | −0.203929 | + | 0.0742240i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −33.3011 | − | 57.6792i | −1.07423 | − | 1.86062i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.985452 | − | 5.58878i | 0.0317557 | − | 0.180096i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 46.2340 | + | 38.7949i | 1.48833 | + | 1.24885i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.85679 | − | 1.76773i | −0.156184 | − | 0.0568463i | 0.262745 | − | 0.964865i | \(-0.415372\pi\) |
−0.418929 | + | 0.908019i | \(0.637594\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 6.41013 | + | 5.53909i | 0.205923 | + | 0.177941i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −8.22967 | − | 2.99536i | −0.264103 | − | 0.0961256i | 0.206575 | − | 0.978431i | \(-0.433768\pi\) |
−0.470678 | + | 0.882305i | \(0.655991\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.65064 | − | 1.38505i | −0.0529172 | − | 0.0444028i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.996130 | − | 5.64933i | 0.0319017 | − | 0.180923i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −20.3640 | − | 35.2714i | −0.651501 | − | 1.12843i | −0.982759 | − | 0.184892i | \(-0.940806\pi\) |
0.331258 | − | 0.943540i | \(-0.392527\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 28.4240 | − | 10.3455i | 0.908434 | − | 0.330643i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.04323 | − | 1.80693i | 0.0333079 | − | 0.0576909i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −3.02616 | + | 2.53925i | −0.0965195 | + | 0.0809895i | −0.689771 | − | 0.724028i | \(-0.742289\pi\) |
0.593251 | + | 0.805018i | \(0.297844\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.92989 | + | 10.9450i | 0.0614915 | + | 0.348736i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 4.02229 | 0.128031 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.538572 | −0.0171256 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.22328 | + | 18.2801i | 0.102391 | + | 0.580687i | 0.992230 | + | 0.124414i | \(0.0397050\pi\) |
−0.889840 | + | 0.456273i | \(0.849184\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0.641559 | − | 0.538332i | 0.0203593 | − | 0.0170835i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 25.3687 | − | 43.9399i | 0.804242 | − | 1.39299i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.57398 | + | 0.936851i | −0.0815187 | + | 0.0296704i | −0.382458 | − | 0.923973i | \(-0.624922\pi\) |
0.300939 | + | 0.953643i | \(0.402700\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −3.05303 | − | 5.28801i | −0.0965937 | − | 0.167305i |
(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 | 912.2.bo.b.289.1 | 6 | ||
4.3 | odd | 2 | 57.2.i.a.4.1 | ✓ | 6 | ||
12.11 | even | 2 | 171.2.u.a.118.1 | 6 | |||
19.5 | even | 9 | inner | 912.2.bo.b.385.1 | 6 | ||
76.43 | odd | 18 | 57.2.i.a.43.1 | yes | 6 | ||
76.47 | odd | 18 | 1083.2.a.m.1.1 | 3 | |||
76.67 | even | 18 | 1083.2.a.n.1.3 | 3 | |||
228.47 | even | 18 | 3249.2.a.w.1.3 | 3 | |||
228.119 | even | 18 | 171.2.u.a.100.1 | 6 | |||
228.143 | odd | 18 | 3249.2.a.x.1.1 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.2.i.a.4.1 | ✓ | 6 | 4.3 | odd | 2 | ||
57.2.i.a.43.1 | yes | 6 | 76.43 | odd | 18 | ||
171.2.u.a.100.1 | 6 | 228.119 | even | 18 | |||
171.2.u.a.118.1 | 6 | 12.11 | even | 2 | |||
912.2.bo.b.289.1 | 6 | 1.1 | even | 1 | trivial | ||
912.2.bo.b.385.1 | 6 | 19.5 | even | 9 | inner | ||
1083.2.a.m.1.1 | 3 | 76.47 | odd | 18 | |||
1083.2.a.n.1.3 | 3 | 76.67 | even | 18 | |||
3249.2.a.w.1.3 | 3 | 228.47 | even | 18 | |||
3249.2.a.x.1.1 | 3 | 228.143 | odd | 18 |