Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6028,2,Mod(1,6028)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6028, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("6028.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6028 = 2^{2} \cdot 11 \cdot 137 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6028.a (trivial) |
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: | yes |
Analytic conductor: | \(48.1338223384\) |
Analytic rank: | \(0\) |
Dimension: | \(29\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.17 | ||
Character | \(\chi\) | \(=\) | 6028.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 | ||||||||
\(3\) | 1.09615 | 0.632862 | 0.316431 | − | 0.948616i | \(-0.397515\pi\) | ||||
0.316431 | + | 0.948616i | \(0.397515\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.71316 | 1.66058 | 0.830289 | − | 0.557334i | \(-0.188176\pi\) | ||||
0.830289 | + | 0.557334i | \(0.188176\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.72361 | 1.40739 | 0.703695 | − | 0.710502i | \(-0.251532\pi\) | ||||
0.703695 | + | 0.710502i | \(0.251532\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.79846 | −0.599486 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.00000 | 0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.39242 | 0.386187 | 0.193093 | − | 0.981180i | \(-0.438148\pi\) | ||||
0.193093 | + | 0.981180i | \(0.438148\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 4.07018 | 1.05092 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.496071 | 0.120315 | 0.0601574 | − | 0.998189i | \(-0.480840\pi\) | ||||
0.0601574 | + | 0.998189i | \(0.480840\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.74156 | 1.77603 | 0.888017 | − | 0.459810i | \(-0.152082\pi\) | ||||
0.888017 | + | 0.459810i | \(0.152082\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.08163 | 0.890684 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.0285040 | −0.00594350 | −0.00297175 | − | 0.999996i | \(-0.500946\pi\) | ||||
−0.00297175 | + | 0.999996i | \(0.500946\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 8.78758 | 1.75752 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.25982 | −1.01225 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.247631 | −0.0459840 | −0.0229920 | − | 0.999736i | \(-0.507319\pi\) | ||||
−0.0229920 | + | 0.999736i | \(0.507319\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.35457 | −0.602499 | −0.301249 | − | 0.953545i | \(-0.597404\pi\) | ||||
−0.301249 | + | 0.953545i | \(0.597404\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.09615 | 0.190815 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 13.8264 | 2.33708 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.263563 | 0.0433295 | 0.0216647 | − | 0.999765i | \(-0.493103\pi\) | ||||
0.0216647 | + | 0.999765i | \(0.493103\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.52630 | 0.244403 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.28213 | 1.29345 | 0.646726 | − | 0.762723i | \(-0.276138\pi\) | ||||
0.646726 | + | 0.762723i | \(0.276138\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.05243 | 0.465492 | 0.232746 | − | 0.972538i | \(-0.425229\pi\) | ||||
0.232746 | + | 0.972538i | \(0.425229\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −6.67797 | −0.995493 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −11.3124 | −1.65008 | −0.825040 | − | 0.565075i | \(-0.808847\pi\) | ||||
−0.825040 | + | 0.565075i | \(0.808847\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.86524 | 0.980749 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.543767 | 0.0761427 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.16037 | −1.12091 | −0.560456 | − | 0.828184i | \(-0.689374\pi\) | ||||
−0.560456 | + | 0.828184i | \(0.689374\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.71316 | 0.500683 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 8.48590 | 1.12398 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.12708 | 0.146734 | 0.0733668 | − | 0.997305i | \(-0.476626\pi\) | ||||
0.0733668 | + | 0.997305i | \(0.476626\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −15.3590 | −1.96652 | −0.983262 | − | 0.182200i | \(-0.941678\pi\) | ||||
−0.983262 | + | 0.182200i | \(0.941678\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.69675 | −0.843711 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 5.17027 | 0.641293 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −14.3535 | −1.75356 | −0.876778 | − | 0.480896i | \(-0.840311\pi\) | ||||
−0.876778 | + | 0.480896i | \(0.840311\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.0312447 | −0.00376142 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 11.7079 | 1.38948 | 0.694739 | − | 0.719262i | \(-0.255520\pi\) | ||||
0.694739 | + | 0.719262i | \(0.255520\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 15.4706 | 1.81070 | 0.905348 | − | 0.424671i | \(-0.139610\pi\) | ||||
0.905348 | + | 0.424671i | \(0.139610\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 9.63250 | 1.11227 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.72361 | 0.424344 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.141071 | 0.0158717 | 0.00793585 | − | 0.999969i | \(-0.497474\pi\) | ||||
0.00793585 | + | 0.999969i | \(0.497474\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.370175 | −0.0411305 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −5.46253 | −0.599590 | −0.299795 | − | 0.954004i | \(-0.596918\pi\) | ||||
−0.299795 | + | 0.954004i | \(0.596918\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.84199 | 0.199792 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.271441 | −0.0291015 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.23688 | 0.131109 | 0.0655543 | − | 0.997849i | \(-0.479118\pi\) | ||||
0.0655543 | + | 0.997849i | \(0.479118\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.18481 | 0.543516 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.67711 | −0.381299 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 28.7457 | 2.94924 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.67908 | 0.373554 | 0.186777 | − | 0.982402i | \(-0.440196\pi\) | ||||
0.186777 | + | 0.982402i | \(0.440196\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.79846 | −0.180752 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −13.9040 | −1.38350 | −0.691749 | − | 0.722138i | \(-0.743159\pi\) | ||||
−0.691749 | + | 0.722138i | \(0.743159\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.7864 | −1.25989 | −0.629943 | − | 0.776642i | \(-0.716922\pi\) | ||||
−0.629943 | + | 0.776642i | \(0.716922\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 15.1557 | 1.47905 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 6.24904 | 0.604117 | 0.302059 | − | 0.953289i | \(-0.402326\pi\) | ||||
0.302059 | + | 0.953289i | \(0.402326\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.3307 | −1.18107 | −0.590533 | − | 0.807013i | \(-0.701083\pi\) | ||||
−0.590533 | + | 0.807013i | \(0.701083\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.288904 | 0.0274216 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.9697 | 1.22009 | 0.610043 | − | 0.792369i | \(-0.291152\pi\) | ||||
0.610043 | + | 0.792369i | \(0.291152\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.105840 | −0.00986965 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.50420 | −0.231514 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.84717 | 0.169330 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.07845 | 0.818576 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 14.0639 | 1.25791 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.09940 | −0.629970 | −0.314985 | − | 0.949097i | \(-0.602000\pi\) | ||||
−0.314985 | + | 0.949097i | \(0.602000\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.34592 | 0.294592 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 11.5880 | 1.01245 | 0.506226 | − | 0.862401i | \(-0.331040\pi\) | ||||
0.506226 | + | 0.862401i | \(0.331040\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 28.8265 | 2.49958 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −19.5306 | −1.68093 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.00000 | 0.0854358 | ||||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.6324 | −0.901825 | −0.450912 | − | 0.892568i | \(-0.648901\pi\) | ||||
−0.450912 | + | 0.892568i | \(0.648901\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −12.4000 | −1.04427 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.39242 | 0.116440 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.919496 | −0.0763600 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 7.52533 | 0.620679 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.36408 | −0.603289 | −0.301644 | − | 0.953421i | \(-0.597536\pi\) | ||||
−0.301644 | + | 0.953421i | \(0.597536\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.0193 | −0.896739 | −0.448369 | − | 0.893848i | \(-0.647995\pi\) | ||||
−0.448369 | + | 0.893848i | \(0.647995\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.892163 | −0.0721271 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −12.4561 | −1.00050 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.75637 | 0.459408 | 0.229704 | − | 0.973261i | \(-0.426224\pi\) | ||||
0.229704 | + | 0.973261i | \(0.426224\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −8.94498 | −0.709383 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.106138 | −0.00836483 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.0033 | 1.01850 | 0.509249 | − | 0.860619i | \(-0.329923\pi\) | ||||
0.509249 | + | 0.860619i | \(0.329923\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 4.07018 | 0.316863 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 15.1275 | 1.17060 | 0.585302 | − | 0.810815i | \(-0.300976\pi\) | ||||
0.585302 | + | 0.810815i | \(0.300976\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.0612 | −0.850860 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −13.9229 | −1.06471 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 22.9808 | 1.74720 | 0.873600 | − | 0.486645i | \(-0.161779\pi\) | ||||
0.873600 | + | 0.486645i | \(0.161779\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 32.7215 | 2.47351 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.23545 | 0.0928620 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.76197 | −0.131696 | −0.0658478 | − | 0.997830i | \(-0.520975\pi\) | ||||
−0.0658478 | + | 0.997830i | \(0.520975\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.714026 | −0.0530731 | −0.0265366 | − | 0.999648i | \(-0.508448\pi\) | ||||
−0.0265366 | + | 0.999648i | \(0.508448\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −16.8358 | −1.24454 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.978653 | 0.0719520 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.496071 | 0.0362763 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −19.5855 | −1.42464 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −14.4939 | −1.04874 | −0.524372 | − | 0.851490i | \(-0.675700\pi\) | ||||
−0.524372 | + | 0.851490i | \(0.675700\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −22.6394 | −1.62962 | −0.814809 | − | 0.579729i | \(-0.803158\pi\) | ||||
−0.814809 | + | 0.579729i | \(0.803158\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.66739 | 0.405850 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.26033 | 0.374783 | 0.187391 | − | 0.982285i | \(-0.439997\pi\) | ||||
0.187391 | + | 0.982285i | \(0.439997\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.01245 | −0.567988 | −0.283994 | − | 0.958826i | \(-0.591660\pi\) | ||||
−0.283994 | + | 0.958826i | \(0.591660\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −15.7335 | −1.10976 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.922082 | −0.0647175 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 30.7529 | 2.14788 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.0512633 | 0.00356305 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 7.74156 | 0.535495 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 19.2548 | 1.32555 | 0.662777 | − | 0.748817i | \(-0.269378\pi\) | ||||
0.662777 | + | 0.748817i | \(0.269378\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 12.8337 | 0.879347 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 11.3342 | 0.772985 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −12.4911 | −0.847952 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 16.9581 | 1.14592 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.690737 | 0.0464640 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 20.3722 | 1.36422 | 0.682111 | − | 0.731249i | \(-0.261062\pi\) | ||||
0.682111 | + | 0.731249i | \(0.261062\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −15.8041 | −1.05361 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.24458 | 0.0826059 | 0.0413029 | − | 0.999147i | \(-0.486849\pi\) | ||||
0.0413029 | + | 0.999147i | \(0.486849\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 22.8746 | 1.51159 | 0.755797 | − | 0.654806i | \(-0.227250\pi\) | ||||
0.755797 | + | 0.654806i | \(0.227250\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.08163 | 0.268551 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −9.00076 | −0.589660 | −0.294830 | − | 0.955550i | \(-0.595263\pi\) | ||||
−0.294830 | + | 0.955550i | \(0.595263\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −42.0047 | −2.74008 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.154634 | 0.0100446 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −6.69785 | −0.433248 | −0.216624 | − | 0.976255i | \(-0.569505\pi\) | ||||
−0.216624 | + | 0.976255i | \(0.569505\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −23.8395 | −1.53564 | −0.767820 | − | 0.640666i | \(-0.778658\pi\) | ||||
−0.767820 | + | 0.640666i | \(0.778658\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.3737 | 0.986224 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 25.4918 | 1.62861 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.7795 | 0.685881 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −5.98774 | −0.379458 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.307513 | −0.0194100 | −0.00970501 | − | 0.999953i | \(-0.503089\pi\) | ||||
−0.00970501 | + | 0.999953i | \(0.503089\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0285040 | −0.00179203 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.01910 | 0.126441 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 18.7302 | 1.16836 | 0.584180 | − | 0.811624i | \(-0.301416\pi\) | ||||
0.584180 | + | 0.811624i | \(0.301416\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.981405 | 0.0609815 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.445355 | 0.0275668 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −24.5748 | −1.51534 | −0.757672 | − | 0.652635i | \(-0.773663\pi\) | ||||
−0.757672 | + | 0.652635i | \(0.773663\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −30.3008 | −1.86136 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.35580 | 0.0829736 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −19.4914 | −1.18841 | −0.594205 | − | 0.804313i | \(-0.702533\pi\) | ||||
−0.594205 | + | 0.804313i | \(0.702533\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.1024 | −0.795916 | −0.397958 | − | 0.917404i | \(-0.630281\pi\) | ||||
−0.397958 | + | 0.917404i | \(0.630281\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.68332 | 0.343970 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 8.78758 | 0.529911 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.2123 | −0.673683 | −0.336842 | − | 0.941561i | \(-0.609359\pi\) | ||||
−0.336842 | + | 0.941561i | \(0.609359\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.03306 | 0.361190 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.89999 | −0.292309 | −0.146155 | − | 0.989262i | \(-0.546690\pi\) | ||||
−0.146155 | + | 0.989262i | \(0.546690\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.52608 | 0.209604 | 0.104802 | − | 0.994493i | \(-0.466579\pi\) | ||||
0.104802 | + | 0.994493i | \(0.466579\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 31.5095 | 1.86646 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 30.8394 | 1.82039 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.7539 | −0.985524 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.03282 | 0.236408 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −24.9424 | −1.45715 | −0.728574 | − | 0.684967i | \(-0.759816\pi\) | ||||
−0.728574 | + | 0.684967i | \(0.759816\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.18504 | 0.243662 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.25982 | −0.305206 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.0396895 | −0.00229530 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.3661 | 0.655129 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −15.2408 | −0.875563 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −57.0306 | −3.26556 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −22.5196 | −1.28526 | −0.642630 | − | 0.766177i | \(-0.722157\pi\) | ||||
−0.642630 | + | 0.766177i | \(0.722157\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.0158 | −0.797333 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 17.4326 | 0.988514 | 0.494257 | − | 0.869316i | \(-0.335440\pi\) | ||||
0.494257 | + | 0.869316i | \(0.335440\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.8171 | 0.724466 | 0.362233 | − | 0.932088i | \(-0.382014\pi\) | ||||
0.362233 | + | 0.932088i | \(0.382014\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −24.8661 | −1.40105 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.03263 | −0.226495 | −0.113248 | − | 0.993567i | \(-0.536125\pi\) | ||||
−0.113248 | + | 0.993567i | \(0.536125\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.247631 | −0.0138647 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.84987 | 0.382323 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.84036 | 0.213683 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.2360 | 0.678730 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −13.5163 | −0.747452 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −42.1228 | −2.32231 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.74816 | −0.151053 | −0.0755263 | − | 0.997144i | \(-0.524064\pi\) | ||||
−0.0755263 | + | 0.997144i | \(0.524064\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.474007 | −0.0259754 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −53.2968 | −2.91191 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.135248 | 0.00736742 | 0.00368371 | − | 0.999993i | \(-0.498827\pi\) | ||||
0.00368371 | + | 0.999993i | \(0.498827\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 14.2167 | 0.772145 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.35457 | −0.181660 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.501776 | −0.0270933 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.116017 | −0.00624612 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 9.48583 | 0.509226 | 0.254613 | − | 0.967043i | \(-0.418052\pi\) | ||||
0.254613 | + | 0.967043i | \(0.418052\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.0324985 | −0.00173961 | −0.000869804 | − | 1.00000i | \(-0.500277\pi\) | ||||
−0.000869804 | 1.00000i | \(0.500277\pi\) | ||||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −7.32387 | −0.390919 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −16.0736 | −0.855513 | −0.427757 | − | 0.903894i | \(-0.640696\pi\) | ||||
−0.427757 | + | 0.903894i | \(0.640696\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 43.4735 | 2.30734 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 2.02478 | 0.107163 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10.7620 | 0.567998 | 0.283999 | − | 0.958825i | \(-0.408339\pi\) | ||||
0.283999 | + | 0.958825i | \(0.408339\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 40.9317 | 2.15430 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 1.09615 | 0.0575329 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 57.4448 | 3.00680 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.4493 | 0.597649 | 0.298825 | − | 0.954308i | \(-0.403405\pi\) | ||||
0.298825 | + | 0.954308i | \(0.403405\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −14.8951 | −0.775406 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −30.3860 | −1.57756 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −16.2509 | −0.841442 | −0.420721 | − | 0.907190i | \(-0.638223\pi\) | ||||
−0.420721 | + | 0.907190i | \(0.638223\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 15.4161 | 0.796086 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.344806 | −0.0177584 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.2036 | 0.729590 | 0.364795 | − | 0.931088i | \(-0.381139\pi\) | ||||
0.364795 | + | 0.931088i | \(0.381139\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7.78200 | −0.398684 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −1.97560 | −0.100948 | −0.0504742 | − | 0.998725i | \(-0.516073\pi\) | ||||
−0.0504742 | + | 0.998725i | \(0.516073\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 13.8264 | 0.704657 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.48967 | −0.279056 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 17.6474 | 0.894760 | 0.447380 | − | 0.894344i | \(-0.352357\pi\) | ||||
0.447380 | + | 0.894344i | \(0.352357\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.0141400 | −0.000715092 0 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 12.7022 | 0.640742 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.523819 | 0.0263562 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −22.4367 | −1.12606 | −0.563032 | − | 0.826435i | \(-0.690365\pi\) | ||||
−0.563032 | + | 0.826435i | \(0.690365\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 31.5981 | 1.58189 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −8.75247 | −0.437078 | −0.218539 | − | 0.975828i | \(-0.570129\pi\) | ||||
−0.218539 | + | 0.975828i | \(0.570129\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.67096 | −0.232677 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.37452 | −0.0683004 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.263563 | 0.0130643 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 23.3217 | 1.15318 | 0.576592 | − | 0.817032i | \(-0.304382\pi\) | ||||
0.576592 | + | 0.817032i | \(0.304382\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.09615 | 0.0540690 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 4.19681 | 0.206511 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −20.2833 | −0.995666 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −11.6546 | −0.570730 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 20.5107 | 1.00202 | 0.501008 | − | 0.865443i | \(-0.332963\pi\) | ||||
0.501008 | + | 0.865443i | \(0.332963\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −27.2876 | −1.32992 | −0.664958 | − | 0.746881i | \(-0.731551\pi\) | ||||
−0.664958 | + | 0.746881i | \(0.731551\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 20.3448 | 0.989199 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.35926 | 0.211455 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −57.1910 | −2.76767 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.52630 | 0.0736903 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 36.9986 | 1.78216 | 0.891081 | − | 0.453845i | \(-0.149948\pi\) | ||||
0.891081 | + | 0.453845i | \(0.149948\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.748326 | −0.0359623 | −0.0179811 | − | 0.999838i | \(-0.505724\pi\) | ||||
−0.0179811 | + | 0.999838i | \(0.505724\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.00790 | −0.0483253 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.220666 | −0.0105559 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.90511 | 0.186381 | 0.0931904 | − | 0.995648i | \(-0.470293\pi\) | ||||
0.0931904 | + | 0.995648i | \(0.470293\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −12.3469 | −0.587945 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −8.06494 | −0.383177 | −0.191588 | − | 0.981475i | \(-0.561364\pi\) | ||||
−0.191588 | + | 0.981475i | \(0.561364\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.59272 | 0.217716 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −8.07212 | −0.381798 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.20412 | 0.292791 | 0.146395 | − | 0.989226i | \(-0.453233\pi\) | ||||
0.146395 | + | 0.989226i | \(0.453233\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.28213 | 0.389990 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −12.0788 | −0.567512 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 19.2521 | 0.902550 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.7505 | 0.736776 | 0.368388 | − | 0.929672i | \(-0.379910\pi\) | ||||
0.368388 | + | 0.929672i | \(0.379910\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −2.60925 | −0.121789 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 32.1810 | 1.49882 | 0.749410 | − | 0.662106i | \(-0.230337\pi\) | ||||
0.749410 | + | 0.662106i | \(0.230337\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.46334 | 0.346851 | 0.173425 | − | 0.984847i | \(-0.444516\pi\) | ||||
0.173425 | + | 0.984847i | \(0.444516\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −13.6537 | −0.633176 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 19.3204 | 0.894041 | 0.447020 | − | 0.894524i | \(-0.352485\pi\) | ||||
0.447020 | + | 0.894524i | \(0.352485\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −53.4467 | −2.46794 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 6.30983 | 0.290742 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.05243 | 0.140351 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 68.0296 | 3.12141 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 14.6761 | 0.671971 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 15.8537 | 0.724375 | 0.362187 | − | 0.932105i | \(-0.382030\pi\) | ||||
0.362187 | + | 0.932105i | \(0.382030\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.366990 | 0.0167333 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.116343 | −0.00529378 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 13.6610 | 0.620316 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 32.1742 | 1.45795 | 0.728975 | − | 0.684540i | \(-0.239997\pi\) | ||||
0.728975 | + | 0.684540i | \(0.239997\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 14.2536 | 0.644568 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 37.8846 | 1.70971 | 0.854853 | − | 0.518870i | \(-0.173647\pi\) | ||||
0.854853 | + | 0.518870i | \(0.173647\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.122843 | −0.00553256 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −6.67797 | −0.300152 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 43.5958 | 1.95554 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 29.9997 | 1.34297 | 0.671485 | − | 0.741018i | \(-0.265657\pi\) | ||||
0.671485 | + | 0.741018i | \(0.265657\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 16.5820 | 0.740830 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −17.1633 | −0.765275 | −0.382637 | − | 0.923899i | \(-0.624984\pi\) | ||||
−0.382637 | + | 0.923899i | \(0.624984\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −51.6278 | −2.29740 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −12.1247 | −0.538477 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 35.4464 | 1.57113 | 0.785567 | − | 0.618776i | \(-0.212371\pi\) | ||||
0.785567 | + | 0.618776i | \(0.212371\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 57.6064 | 2.54836 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −40.7192 | −1.79780 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −47.4781 | −2.09214 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11.3124 | −0.497518 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 25.1904 | 1.10574 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −28.0870 | −1.23051 | −0.615257 | − | 0.788326i | \(-0.710948\pi\) | ||||
−0.615257 | + | 0.788326i | \(0.710948\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.74189 | 0.425983 | 0.212991 | − | 0.977054i | \(-0.431679\pi\) | ||||
0.212991 | + | 0.977054i | \(0.431679\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 35.8676 | 1.56539 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.66411 | −0.0724896 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.9992 | −0.999965 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.02701 | −0.0879647 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 11.5322 | 0.499514 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 23.2037 | 1.00318 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.93138 | −0.0833452 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 6.86524 | 0.295707 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −25.9502 | −1.11569 | −0.557843 | − | 0.829947i | \(-0.688371\pi\) | ||||
−0.557843 | + | 0.829947i | \(0.688371\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.782679 | −0.0335880 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −45.7859 | −1.96125 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.71610 | 0.287160 | 0.143580 | − | 0.989639i | \(-0.454139\pi\) | ||||
0.143580 | + | 0.989639i | \(0.454139\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 27.6226 | 1.17890 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.91705 | −0.0816692 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.525292 | 0.0223377 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.07275 | 0.0455356 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −18.2957 | −0.775212 | −0.387606 | − | 0.921825i | \(-0.626698\pi\) | ||||
−0.387606 | + | 0.921825i | \(0.626698\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.25026 | 0.179767 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.543767 | 0.0229579 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 21.5851 | 0.909703 | 0.454851 | − | 0.890567i | \(-0.349692\pi\) | ||||
0.454851 | + | 0.890567i | \(0.349692\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 48.1585 | 2.02605 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.37839 | −0.0578867 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 8.24631 | 0.345703 | 0.172852 | − | 0.984948i | \(-0.444702\pi\) | ||||
0.172852 | + | 0.984948i | \(0.444702\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.2002 | −0.552412 | −0.276206 | − | 0.961098i | \(-0.589077\pi\) | ||||
−0.276206 | + | 0.961098i | \(0.589077\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −15.8875 | −0.663709 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.250482 | −0.0104458 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.20033 | 0.133232 | 0.0666158 | − | 0.997779i | \(-0.478780\pi\) | ||||
0.0666158 | + | 0.997779i | \(0.478780\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −24.8161 | −1.03132 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −20.3403 | −0.843858 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.16037 | −0.337968 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.29852 | −0.384446 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −35.7957 | −1.47745 | −0.738724 | − | 0.674008i | \(-0.764571\pi\) | ||||
−0.738724 | + | 0.674008i | \(0.764571\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −25.9696 | −1.07006 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 5.76610 | 0.237186 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −14.9258 | −0.612929 | −0.306465 | − | 0.951882i | \(-0.599146\pi\) | ||||
−0.306465 | + | 0.951882i | \(0.599146\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.85885 | 0.281186 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −8.78284 | −0.359458 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 21.1348 | 0.863543 | 0.431771 | − | 0.901983i | \(-0.357889\pi\) | ||||
0.431771 | + | 0.901983i | \(0.357889\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.28383 | −0.174741 | −0.0873705 | − | 0.996176i | \(-0.527846\pi\) | ||||
−0.0873705 | + | 0.996176i | \(0.527846\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 25.8141 | 1.05123 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 3.71316 | 0.150962 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.84922 | −0.156235 | −0.0781175 | − | 0.996944i | \(-0.524891\pi\) | ||||
−0.0781175 | + | 0.996944i | \(0.524891\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −1.01074 | −0.0409572 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −15.7515 | −0.637239 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.24936 | −0.0504614 | −0.0252307 | − | 0.999682i | \(-0.508032\pi\) | ||||
−0.0252307 | + | 0.999682i | \(0.508032\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 33.7098 | 1.35931 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 40.1839 | 1.61774 | 0.808871 | − | 0.587986i | \(-0.200079\pi\) | ||||
0.808871 | + | 0.587986i | \(0.200079\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.40947 | −0.257618 | −0.128809 | − | 0.991669i | \(-0.541115\pi\) | ||||
−0.128809 | + | 0.991669i | \(0.541115\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.149926 | 0.00601633 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 4.60564 | 0.184521 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.28370 | 0.331348 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 8.48590 | 0.338894 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.130746 | 0.00521318 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 25.4138 | 1.01171 | 0.505854 | − | 0.862619i | \(-0.331177\pi\) | ||||
0.505854 | + | 0.862619i | \(0.331177\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 21.1061 | 0.838892 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −26.3612 | −1.04611 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.55928 | 0.378753 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −21.0563 | −0.832972 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −24.6075 | −0.971938 | −0.485969 | − | 0.873976i | \(-0.661533\pi\) | ||||
−0.485969 | + | 0.873976i | \(0.661533\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 27.8776 | 1.09939 | 0.549693 | − | 0.835367i | \(-0.314745\pi\) | ||||
0.549693 | + | 0.835367i | \(0.314745\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 12.4239 | 0.489192 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −6.04043 | −0.237474 | −0.118737 | − | 0.992926i | \(-0.537884\pi\) | ||||
−0.118737 | + | 0.992926i | \(0.537884\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.12708 | 0.0442418 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −13.6921 | −0.536636 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −49.4025 | −1.93327 | −0.966634 | − | 0.256160i | \(-0.917543\pi\) | ||||
−0.966634 | + | 0.256160i | \(0.917543\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 43.0283 | 1.68125 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −27.8232 | −1.08549 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 29.2583 | 1.13974 | 0.569870 | − | 0.821735i | \(-0.306994\pi\) | ||||
0.569870 | + | 0.821735i | \(0.306994\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.8869 | 0.773512 | 0.386756 | − | 0.922182i | \(-0.373596\pi\) | ||||
0.386756 | + | 0.922182i | \(0.373596\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.757151 | 0.0294053 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 107.038 | 4.15074 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.00705850 | 0.000273306 0 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 22.3309 | 0.863364 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −15.3590 | −0.592929 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.2797 | −0.550441 | −0.275221 | − | 0.961381i | \(-0.588751\pi\) | ||||
−0.275221 | + | 0.961381i | \(0.588751\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −46.2211 | −1.77905 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −43.5014 | −1.67189 | −0.835947 | − | 0.548811i | \(-0.815081\pi\) | ||||
−0.835947 | + | 0.548811i | \(0.815081\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 13.6995 | 0.525737 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.36425 | 0.0522781 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −42.1585 | −1.61315 | −0.806576 | − | 0.591131i | \(-0.798682\pi\) | ||||
−0.806576 | + | 0.591131i | \(0.798682\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.71316 | 0.141873 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 25.0739 | 0.956630 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −11.3626 | −0.432882 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −28.9461 | −1.10116 | −0.550581 | − | 0.834782i | \(-0.685594\pi\) | ||||
−0.550581 | + | 0.834782i | \(0.685594\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −6.69675 | −0.254388 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −39.4797 | −1.49755 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.10852 | 0.155621 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −9.86618 | −0.373173 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −9.56894 | −0.361414 | −0.180707 | − | 0.983537i | \(-0.557839\pi\) | ||||
−0.180707 | + | 0.983537i | \(0.557839\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.04039 | 0.0769547 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −46.0434 | −1.73409 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −51.7729 | −1.94712 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 18.5647 | 0.697211 | 0.348606 | − | 0.937269i | \(-0.386655\pi\) | ||||
0.348606 | + | 0.937269i | \(0.386655\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.253710 | −0.00951486 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.0956189 | 0.00358096 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.17027 | 0.193357 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −7.34184 | −0.274186 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −10.0841 | −0.376075 | −0.188037 | − | 0.982162i | \(-0.560213\pi\) | ||||
−0.188037 | + | 0.982162i | \(0.560213\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −47.6117 | −1.77315 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −26.1317 | −0.971847 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.17608 | −0.0808176 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.53493 | −0.353631 | −0.176816 | − | 0.984244i | \(-0.556580\pi\) | ||||
−0.176816 | + | 0.984244i | \(0.556580\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 17.9624 | 0.665274 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.51422 | 0.0560056 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.1807 | −0.634583 | −0.317292 | − | 0.948328i | \(-0.602773\pi\) | ||||
−0.317292 | + | 0.948328i | \(0.602773\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 27.9428 | 1.03068 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −14.3535 | −0.528717 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 30.1617 | 1.10952 | 0.554758 | − | 0.832012i | \(-0.312811\pi\) | ||||
0.554758 | + | 0.832012i | \(0.312811\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 11.8159 | 0.434068 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.43124 | −0.0891937 | −0.0445969 | − | 0.999005i | \(-0.514200\pi\) | ||||
−0.0445969 | + | 0.999005i | \(0.514200\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −27.3440 | −1.00181 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 9.82412 | 0.359446 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 23.2690 | 0.850229 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 32.6611 | 1.19182 | 0.595910 | − | 0.803051i | \(-0.296791\pi\) | ||||
0.595910 | + | 0.803051i | \(0.296791\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.337080 | −0.0122839 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −40.9165 | −1.48910 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 44.7044 | 1.62481 | 0.812405 | − | 0.583093i | \(-0.198158\pi\) | ||||
0.812405 | + | 0.583093i | \(0.198158\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.0312447 | −0.00113411 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 45.0634 | 1.63355 | 0.816773 | − | 0.576959i | \(-0.195761\pi\) | ||||
0.816773 | + | 0.576959i | \(0.195761\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −45.9147 | −1.66222 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.31275 | −0.119773 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.56937 | 0.0566666 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.65211 | −0.203820 | −0.101910 | − | 0.994794i | \(-0.532495\pi\) | ||||
−0.101910 | + | 0.994794i | \(0.532495\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 20.5311 | 0.739411 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 12.3727 | 0.445014 | 0.222507 | − | 0.974931i | \(-0.428576\pi\) | ||||
0.222507 | + | 0.974931i | \(0.428576\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −29.4786 | −1.05890 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.07577 | 0.0385929 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 64.1166 | 2.29722 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 11.7079 | 0.418943 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.30250 | 0.0465475 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 21.3743 | 0.762882 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 19.8579 | 0.707857 | 0.353928 | − | 0.935272i | \(-0.384846\pi\) | ||||
0.353928 | + | 0.935272i | \(0.384846\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −26.9376 | −0.959003 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 48.2940 | 1.71714 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.3862 | −0.759445 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −33.2142 | −1.17798 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.877085 | 0.0310680 | 0.0155340 | − | 0.999879i | \(-0.495055\pi\) | ||||
0.0155340 | + | 0.999879i | \(0.495055\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.61174 | −0.198529 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.22447 | −0.0785978 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 15.4706 | 0.545945 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.394107 | −0.0138905 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −21.3655 | −0.752100 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 49.6614 | 1.74600 | 0.873001 | − | 0.487718i | \(-0.162170\pi\) | ||||
0.873001 | + | 0.487718i | \(0.162170\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −29.9163 | −1.05050 | −0.525252 | − | 0.850947i | \(-0.676029\pi\) | ||||
−0.525252 | + | 0.850947i | \(0.676029\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −14.3622 | −0.503705 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 48.2834 | 1.69129 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 23.6306 | 0.826729 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −9.32467 | −0.325830 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 15.7845 | 0.550882 | 0.275441 | − | 0.961318i | \(-0.411176\pi\) | ||||
0.275441 | + | 0.961318i | \(0.411176\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.46297 | 0.0509958 | 0.0254979 | − | 0.999675i | \(-0.491883\pi\) | ||||
0.0254979 | + | 0.999675i | \(0.491883\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 9.63250 | 0.335361 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.1443 | 1.25686 | 0.628429 | − | 0.777867i | \(-0.283698\pi\) | ||||
0.628429 | + | 0.777867i | \(0.283698\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.14584 | 0.0745281 | 0.0372640 | − | 0.999305i | \(-0.488136\pi\) | ||||
0.0372640 | + | 0.999305i | \(0.488136\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −12.2904 | −0.426348 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.40565 | 0.117999 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 56.1710 | 1.94388 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 17.6445 | 0.609882 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −10.2482 | −0.353807 | −0.176904 | − | 0.984228i | \(-0.556608\pi\) | ||||
−0.176904 | + | 0.984228i | \(0.556608\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.9387 | −0.997885 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −5.37112 | −0.184991 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −41.0720 | −1.41292 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.72361 | 0.127945 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 3.86511 | 0.132650 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.00751261 | −0.000257529 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.82371 | 0.199400 | 0.0997000 | − | 0.995018i | \(-0.468212\pi\) | ||||
0.0997000 | + | 0.995018i | \(0.468212\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −51.6979 | −1.76803 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 14.7988 | 0.505518 | 0.252759 | − | 0.967529i | \(-0.418662\pi\) | ||||
0.252759 | + | 0.967529i | \(0.418662\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −55.9576 | −1.90925 | −0.954624 | − | 0.297814i | \(-0.903742\pi\) | ||||
−0.954624 | + | 0.297814i | \(0.903742\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 33.8046 | 1.15206 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −37.2735 | −1.26880 | −0.634402 | − | 0.773003i | \(-0.718754\pi\) | ||||
−0.634402 | + | 0.773003i | \(0.718754\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 85.3316 | 2.90136 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −18.3648 | −0.623701 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.141071 | 0.00478550 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −19.9860 | −0.677200 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −6.61668 | −0.223941 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 52.3685 | 1.77038 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 18.3730 | 0.620412 | 0.310206 | − | 0.950669i | \(-0.399602\pi\) | ||||
0.310206 | + | 0.950669i | \(0.399602\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −27.3405 | −0.922173 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −36.2769 | −1.22220 | −0.611099 | − | 0.791554i | \(-0.709272\pi\) | ||||
−0.611099 | + | 0.791554i | \(0.709272\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 35.9064 | 1.20835 | 0.604174 | − | 0.796852i | \(-0.293503\pi\) | ||||
0.604174 | + | 0.796852i | \(0.293503\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.58742 | 0.154205 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −45.2817 | −1.52041 | −0.760206 | − | 0.649683i | \(-0.774902\pi\) | ||||
−0.760206 | + | 0.649683i | \(0.774902\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −26.4354 | −0.886614 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.370175 | −0.0124013 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −87.5754 | −2.93060 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.54248 | −0.218691 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.0435056 | −0.00145261 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.830697 | 0.0277053 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.04812 | −0.134862 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 12.4589 | 0.414606 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.65130 | −0.0881321 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.4944 | 0.481279 | 0.240640 | − | 0.970615i | \(-0.422643\pi\) | ||||
0.240640 | + | 0.970615i | \(0.422643\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 25.0057 | 0.829388 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 3.59063 | 0.118963 | 0.0594815 | − | 0.998229i | \(-0.481055\pi\) | ||||
0.0594815 | + | 0.998229i | \(0.481055\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.46253 | −0.180783 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −62.5140 | −2.06665 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 43.1493 | 1.42492 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.8880 | −0.359161 | −0.179581 | − | 0.983743i | \(-0.557474\pi\) | ||||
−0.179581 | + | 0.983743i | \(0.557474\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −24.6848 | −0.813392 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 16.3023 | 0.536598 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.31608 | 0.0761523 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 22.9959 | 0.755284 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −38.0676 | −1.24896 | −0.624478 | − | 0.781042i | \(-0.714688\pi\) | ||||
−0.624478 | + | 0.781042i | \(0.714688\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 53.1477 | 1.74184 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 19.1088 | 0.625593 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.84199 | 0.0602396 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 32.6322 | 1.06605 | 0.533023 | − | 0.846101i | \(-0.321056\pi\) | ||||
0.533023 | + | 0.846101i | \(0.321056\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.0495 | 0.458487 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −25.7930 | −0.840829 | −0.420414 | − | 0.907332i | \(-0.638115\pi\) | ||||
−0.420414 | + | 0.907332i | \(0.638115\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.236074 | −0.00768764 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −72.7242 | −2.36572 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 51.2831 | 1.66648 | 0.833239 | − | 0.552913i | \(-0.186484\pi\) | ||||
0.833239 | + | 0.552913i | \(0.186484\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 21.5415 | 0.699267 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −4.42036 | −0.143340 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −35.5127 | −1.15037 | −0.575184 | − | 0.818024i | \(-0.695070\pi\) | ||||
−0.575184 | + | 0.818024i | \(0.695070\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −53.8183 | −1.74152 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.271441 | −0.00877444 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 3.72361 | 0.120242 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −19.7468 | −0.636995 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −11.2386 | −0.362160 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −84.0637 | −2.70611 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −21.5223 | −0.692110 | −0.346055 | − | 0.938214i | \(-0.612479\pi\) | ||||
−0.346055 | + | 0.938214i | \(0.612479\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 4.20961 | 0.135232 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −55.9417 | −1.79525 | −0.897627 | − | 0.440756i | \(-0.854711\pi\) | ||||
−0.897627 | + | 0.440756i | \(0.854711\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −39.5907 | −1.26922 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 13.4125 | 0.429542 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −16.0256 | −0.512705 | −0.256353 | − | 0.966583i | \(-0.582521\pi\) | ||||
−0.256353 | + | 0.966583i | \(0.582521\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.23688 | 0.0395307 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 22.1762 | 0.708033 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 18.5785 | 0.592562 | 0.296281 | − | 0.955101i | \(-0.404254\pi\) | ||||
0.296281 | + | 0.955101i | \(0.404254\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 19.5325 | 0.622356 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −46.1729 | −1.46970 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.0870067 | −0.00276665 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −10.4132 | −0.330785 | −0.165393 | − | 0.986228i | \(-0.552889\pi\) | ||||
−0.165393 | + | 0.986228i | \(0.552889\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −3.01239 | −0.0955954 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −29.7516 | −0.943188 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −14.4924 | −0.458980 | −0.229490 | − | 0.973311i | \(-0.573706\pi\) | ||||
−0.229490 | + | 0.973311i | \(0.573706\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.38629 | −0.0438604 |
(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 | 6028.2.a.f.1.17 | ✓ | 29 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6028.2.a.f.1.17 | ✓ | 29 | 1.1 | even | 1 | trivial |