Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6003,2,Mod(1,6003)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6003, 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("6003.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6003 = 3^{2} \cdot 23 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6003.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: | \(47.9341963334\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.3 | ||
Character | \(\chi\) | \(=\) | 6003.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.53344 | −1.79141 | −0.895706 | − | 0.444646i | \(-0.853329\pi\) | ||||
−0.895706 | + | 0.444646i | \(0.853329\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 4.41832 | 2.20916 | ||||||||
\(5\) | −4.44002 | −1.98564 | −0.992818 | − | 0.119636i | \(-0.961827\pi\) | ||||
−0.992818 | + | 0.119636i | \(0.961827\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.94217 | −1.11204 | −0.556019 | − | 0.831170i | \(-0.687672\pi\) | ||||
−0.556019 | + | 0.831170i | \(0.687672\pi\) | |||||||
\(8\) | −6.12666 | −2.16610 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 11.2485 | 3.55709 | ||||||||
\(11\) | 2.11774 | 0.638522 | 0.319261 | − | 0.947667i | \(-0.396565\pi\) | ||||
0.319261 | + | 0.947667i | \(0.396565\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.95904 | 1.37539 | 0.687695 | − | 0.726000i | \(-0.258623\pi\) | ||||
0.687695 | + | 0.726000i | \(0.258623\pi\) | |||||||
\(14\) | 7.45382 | 1.99212 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 6.68489 | 1.67122 | ||||||||
\(17\) | 1.10516 | 0.268041 | 0.134021 | − | 0.990979i | \(-0.457211\pi\) | ||||
0.134021 | + | 0.990979i | \(0.457211\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.34374 | 0.767107 | 0.383554 | − | 0.923519i | \(-0.374700\pi\) | ||||
0.383554 | + | 0.923519i | \(0.374700\pi\) | |||||||
\(20\) | −19.6174 | −4.38658 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.36516 | −1.14386 | ||||||||
\(23\) | 1.00000 | 0.208514 | ||||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 14.7137 | 2.94275 | ||||||||
\(26\) | −12.5634 | −2.46389 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −12.9995 | −2.45667 | ||||||||
\(29\) | −1.00000 | −0.185695 | ||||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.450034 | 0.0808284 | 0.0404142 | − | 0.999183i | \(-0.487132\pi\) | ||||
0.0404142 | + | 0.999183i | \(0.487132\pi\) | |||||||
\(32\) | −4.68245 | −0.827748 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.79986 | −0.480173 | ||||||||
\(35\) | 13.0633 | 2.20810 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.22088 | −0.529509 | −0.264755 | − | 0.964316i | \(-0.585291\pi\) | ||||
−0.264755 | + | 0.964316i | \(0.585291\pi\) | |||||||
\(38\) | −8.47117 | −1.37421 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 27.2025 | 4.30109 | ||||||||
\(41\) | −12.6572 | −1.97673 | −0.988363 | − | 0.152112i | \(-0.951392\pi\) | ||||
−0.988363 | + | 0.152112i | \(0.951392\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.22624 | 0.491996 | 0.245998 | − | 0.969270i | \(-0.420884\pi\) | ||||
0.245998 | + | 0.969270i | \(0.420884\pi\) | |||||||
\(44\) | 9.35684 | 1.41060 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.53344 | −0.373535 | ||||||||
\(47\) | 12.1886 | 1.77789 | 0.888944 | − | 0.458015i | \(-0.151440\pi\) | ||||
0.888944 | + | 0.458015i | \(0.151440\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.65639 | 0.236626 | ||||||||
\(50\) | −37.2764 | −5.27168 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 21.9106 | 3.03845 | ||||||||
\(53\) | 8.26682 | 1.13554 | 0.567768 | − | 0.823189i | \(-0.307807\pi\) | ||||
0.567768 | + | 0.823189i | \(0.307807\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −9.40279 | −1.26787 | ||||||||
\(56\) | 18.0257 | 2.40879 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.53344 | 0.332657 | ||||||||
\(59\) | 11.3155 | 1.47315 | 0.736573 | − | 0.676358i | \(-0.236443\pi\) | ||||
0.736573 | + | 0.676358i | \(0.236443\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.82843 | 0.490180 | 0.245090 | − | 0.969500i | \(-0.421183\pi\) | ||||
0.245090 | + | 0.969500i | \(0.421183\pi\) | |||||||
\(62\) | −1.14013 | −0.144797 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.50708 | −0.188385 | ||||||||
\(65\) | −22.0182 | −2.73102 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 12.7528 | 1.55800 | 0.778999 | − | 0.627025i | \(-0.215728\pi\) | ||||
0.778999 | + | 0.627025i | \(0.215728\pi\) | |||||||
\(68\) | 4.88296 | 0.592146 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −33.0951 | −3.95562 | ||||||||
\(71\) | 6.51894 | 0.773656 | 0.386828 | − | 0.922152i | \(-0.373571\pi\) | ||||
0.386828 | + | 0.922152i | \(0.373571\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.8183 | −1.38323 | −0.691615 | − | 0.722266i | \(-0.743101\pi\) | ||||
−0.691615 | + | 0.722266i | \(0.743101\pi\) | |||||||
\(74\) | 8.15990 | 0.948569 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 14.7737 | 1.69466 | ||||||||
\(77\) | −6.23075 | −0.710060 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.44994 | 0.838184 | 0.419092 | − | 0.907944i | \(-0.362349\pi\) | ||||
0.419092 | + | 0.907944i | \(0.362349\pi\) | |||||||
\(80\) | −29.6810 | −3.31844 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 32.0663 | 3.54113 | ||||||||
\(83\) | −7.31271 | −0.802674 | −0.401337 | − | 0.915930i | \(-0.631454\pi\) | ||||
−0.401337 | + | 0.915930i | \(0.631454\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.90694 | −0.532233 | ||||||||
\(86\) | −8.17348 | −0.881369 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −12.9747 | −1.38310 | ||||||||
\(89\) | −12.2352 | −1.29693 | −0.648463 | − | 0.761246i | \(-0.724588\pi\) | ||||
−0.648463 | + | 0.761246i | \(0.724588\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −14.5904 | −1.52948 | ||||||||
\(92\) | 4.41832 | 0.460641 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −30.8791 | −3.18493 | ||||||||
\(95\) | −14.8463 | −1.52320 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.07116 | −0.819502 | −0.409751 | − | 0.912197i | \(-0.634384\pi\) | ||||
−0.409751 | + | 0.912197i | \(0.634384\pi\) | |||||||
\(98\) | −4.19635 | −0.423896 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 65.0100 | 6.50100 | ||||||||
\(101\) | 1.22599 | 0.121991 | 0.0609955 | − | 0.998138i | \(-0.480572\pi\) | ||||
0.0609955 | + | 0.998138i | \(0.480572\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.5667 | 1.23823 | 0.619116 | − | 0.785300i | \(-0.287491\pi\) | ||||
0.619116 | + | 0.785300i | \(0.287491\pi\) | |||||||
\(104\) | −30.3823 | −2.97923 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −20.9435 | −2.03421 | ||||||||
\(107\) | −11.2796 | −1.09044 | −0.545218 | − | 0.838295i | \(-0.683553\pi\) | ||||
−0.545218 | + | 0.838295i | \(0.683553\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −18.8465 | −1.80517 | −0.902584 | − | 0.430514i | \(-0.858332\pi\) | ||||
−0.902584 | + | 0.430514i | \(0.858332\pi\) | |||||||
\(110\) | 23.8214 | 2.27128 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −19.6681 | −1.85846 | ||||||||
\(113\) | 0.830218 | 0.0781003 | 0.0390502 | − | 0.999237i | \(-0.487567\pi\) | ||||
0.0390502 | + | 0.999237i | \(0.487567\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.44002 | −0.414034 | ||||||||
\(116\) | −4.41832 | −0.410230 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −28.6670 | −2.63901 | ||||||||
\(119\) | −3.25158 | −0.298072 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.51519 | −0.592290 | ||||||||
\(122\) | −9.69909 | −0.878114 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.98839 | 0.178563 | ||||||||
\(125\) | −43.1292 | −3.85759 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.48959 | 0.753329 | 0.376664 | − | 0.926350i | \(-0.377071\pi\) | ||||
0.376664 | + | 0.926350i | \(0.377071\pi\) | |||||||
\(128\) | 13.1830 | 1.16522 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 55.7818 | 4.89239 | ||||||||
\(131\) | 8.06851 | 0.704949 | 0.352475 | − | 0.935821i | \(-0.385340\pi\) | ||||
0.352475 | + | 0.935821i | \(0.385340\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.83787 | −0.853052 | ||||||||
\(134\) | −32.3084 | −2.79102 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.77096 | −0.580605 | ||||||||
\(137\) | 0.0218169 | 0.00186394 | 0.000931971 | − | 1.00000i | \(-0.499703\pi\) | ||||
0.000931971 | 1.00000i | \(0.499703\pi\) | ||||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −14.9810 | −1.27068 | −0.635338 | − | 0.772234i | \(-0.719139\pi\) | ||||
−0.635338 | + | 0.772234i | \(0.719139\pi\) | |||||||
\(140\) | 57.7178 | 4.87804 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −16.5154 | −1.38594 | ||||||||
\(143\) | 10.5019 | 0.878217 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.44002 | 0.368723 | ||||||||
\(146\) | 29.9410 | 2.47794 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −14.2309 | −1.16977 | ||||||||
\(149\) | −9.68343 | −0.793298 | −0.396649 | − | 0.917970i | \(-0.629827\pi\) | ||||
−0.396649 | + | 0.917970i | \(0.629827\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.56663 | −0.371627 | −0.185814 | − | 0.982585i | \(-0.559492\pi\) | ||||
−0.185814 | + | 0.982585i | \(0.559492\pi\) | |||||||
\(152\) | −20.4860 | −1.66163 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 15.7852 | 1.27201 | ||||||||
\(155\) | −1.99816 | −0.160496 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 11.0244 | 0.879845 | 0.439922 | − | 0.898036i | \(-0.355006\pi\) | ||||
0.439922 | + | 0.898036i | \(0.355006\pi\) | |||||||
\(158\) | −18.8740 | −1.50153 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 20.7902 | 1.64361 | ||||||||
\(161\) | −2.94217 | −0.231876 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −22.0639 | −1.72818 | −0.864090 | − | 0.503337i | \(-0.832106\pi\) | ||||
−0.864090 | + | 0.503337i | \(0.832106\pi\) | |||||||
\(164\) | −55.9236 | −4.36690 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 18.5263 | 1.43792 | ||||||||
\(167\) | 23.6472 | 1.82987 | 0.914937 | − | 0.403598i | \(-0.132240\pi\) | ||||
0.914937 | + | 0.403598i | \(0.132240\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.5921 | 0.891697 | ||||||||
\(170\) | 12.4314 | 0.953448 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 14.2545 | 1.08690 | ||||||||
\(173\) | −0.440563 | −0.0334954 | −0.0167477 | − | 0.999860i | \(-0.505331\pi\) | ||||
−0.0167477 | + | 0.999860i | \(0.505331\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −43.2904 | −3.27245 | ||||||||
\(176\) | 14.1569 | 1.06711 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 30.9971 | 2.32333 | ||||||||
\(179\) | −22.0425 | −1.64753 | −0.823766 | − | 0.566929i | \(-0.808131\pi\) | ||||
−0.823766 | + | 0.566929i | \(0.808131\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.02523 | 0.373523 | 0.186761 | − | 0.982405i | \(-0.440201\pi\) | ||||
0.186761 | + | 0.982405i | \(0.440201\pi\) | |||||||
\(182\) | 36.9638 | 2.73994 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −6.12666 | −0.451663 | ||||||||
\(185\) | 14.3008 | 1.05141 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.34045 | 0.171150 | ||||||||
\(188\) | 53.8531 | 3.92764 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 37.6121 | 2.72867 | ||||||||
\(191\) | 4.39845 | 0.318261 | 0.159130 | − | 0.987258i | \(-0.449131\pi\) | ||||
0.159130 | + | 0.987258i | \(0.449131\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 25.1737 | 1.81204 | 0.906022 | − | 0.423230i | \(-0.139104\pi\) | ||||
0.906022 | + | 0.423230i | \(0.139104\pi\) | |||||||
\(194\) | 20.4478 | 1.46807 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.31844 | 0.522745 | ||||||||
\(197\) | −10.0048 | −0.712814 | −0.356407 | − | 0.934331i | \(-0.615998\pi\) | ||||
−0.356407 | + | 0.934331i | \(0.615998\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −17.8870 | −1.26797 | −0.633987 | − | 0.773344i | \(-0.718583\pi\) | ||||
−0.633987 | + | 0.773344i | \(0.718583\pi\) | |||||||
\(200\) | −90.1461 | −6.37429 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.10598 | −0.218536 | ||||||||
\(203\) | 2.94217 | 0.206500 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 56.1983 | 3.92506 | ||||||||
\(206\) | −31.8369 | −2.21818 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 33.1506 | 2.29858 | ||||||||
\(209\) | 7.08117 | 0.489815 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.71963 | −0.187227 | −0.0936136 | − | 0.995609i | \(-0.529842\pi\) | ||||
−0.0936136 | + | 0.995609i | \(0.529842\pi\) | |||||||
\(212\) | 36.5254 | 2.50858 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 28.5761 | 1.95342 | ||||||||
\(215\) | −14.3245 | −0.976926 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.32408 | −0.0898842 | ||||||||
\(218\) | 47.7465 | 3.23380 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −41.5445 | −2.80093 | ||||||||
\(221\) | 5.48055 | 0.368661 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −17.6250 | −1.18026 | −0.590129 | − | 0.807309i | \(-0.700923\pi\) | ||||
−0.590129 | + | 0.807309i | \(0.700923\pi\) | |||||||
\(224\) | 13.7766 | 0.920486 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.10331 | −0.139910 | ||||||||
\(227\) | 0.819513 | 0.0543930 | 0.0271965 | − | 0.999630i | \(-0.491342\pi\) | ||||
0.0271965 | + | 0.999630i | \(0.491342\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.2088 | 0.674618 | 0.337309 | − | 0.941394i | \(-0.390483\pi\) | ||||
0.337309 | + | 0.941394i | \(0.390483\pi\) | |||||||
\(230\) | 11.2485 | 0.741705 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.12666 | 0.402235 | ||||||||
\(233\) | 24.7668 | 1.62253 | 0.811263 | − | 0.584681i | \(-0.198780\pi\) | ||||
0.811263 | + | 0.584681i | \(0.198780\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −54.1175 | −3.53024 | ||||||||
\(236\) | 49.9953 | 3.25441 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 8.23769 | 0.533970 | ||||||||
\(239\) | 4.62792 | 0.299355 | 0.149678 | − | 0.988735i | \(-0.452176\pi\) | ||||
0.149678 | + | 0.988735i | \(0.452176\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.30386 | 0.0839891 | 0.0419946 | − | 0.999118i | \(-0.486629\pi\) | ||||
0.0419946 | + | 0.999118i | \(0.486629\pi\) | |||||||
\(242\) | 16.5058 | 1.06103 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 16.9152 | 1.08288 | ||||||||
\(245\) | −7.35438 | −0.469854 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 16.5817 | 1.05507 | ||||||||
\(248\) | −2.75720 | −0.175083 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 109.265 | 6.91054 | ||||||||
\(251\) | 21.8275 | 1.37774 | 0.688869 | − | 0.724886i | \(-0.258108\pi\) | ||||
0.688869 | + | 0.724886i | \(0.258108\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.11774 | 0.133141 | ||||||||
\(254\) | −21.5079 | −1.34952 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −30.3842 | −1.89901 | ||||||||
\(257\) | 15.9666 | 0.995966 | 0.497983 | − | 0.867187i | \(-0.334074\pi\) | ||||
0.497983 | + | 0.867187i | \(0.334074\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.47638 | 0.588834 | ||||||||
\(260\) | −97.2834 | −6.03326 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −20.4411 | −1.26285 | ||||||||
\(263\) | −7.14851 | −0.440796 | −0.220398 | − | 0.975410i | \(-0.570736\pi\) | ||||
−0.220398 | + | 0.975410i | \(0.570736\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −36.7048 | −2.25476 | ||||||||
\(266\) | 24.9237 | 1.52817 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 56.3458 | 3.44187 | ||||||||
\(269\) | 25.5977 | 1.56072 | 0.780358 | − | 0.625333i | \(-0.215037\pi\) | ||||
0.780358 | + | 0.625333i | \(0.215037\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.99729 | 0.425055 | 0.212528 | − | 0.977155i | \(-0.431830\pi\) | ||||
0.212528 | + | 0.977155i | \(0.431830\pi\) | |||||||
\(272\) | 7.38790 | 0.447957 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.0552717 | −0.00333909 | ||||||||
\(275\) | 31.1599 | 1.87901 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.90160 | 0.114256 | 0.0571281 | − | 0.998367i | \(-0.481806\pi\) | ||||
0.0571281 | + | 0.998367i | \(0.481806\pi\) | |||||||
\(278\) | 37.9536 | 2.27630 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −80.0344 | −4.78297 | ||||||||
\(281\) | 14.3399 | 0.855448 | 0.427724 | − | 0.903909i | \(-0.359315\pi\) | ||||
0.427724 | + | 0.903909i | \(0.359315\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −19.8651 | −1.18086 | −0.590430 | − | 0.807089i | \(-0.701042\pi\) | ||||
−0.590430 | + | 0.807089i | \(0.701042\pi\) | |||||||
\(284\) | 28.8028 | 1.70913 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −26.6060 | −1.57325 | ||||||||
\(287\) | 37.2398 | 2.19819 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −15.7786 | −0.928154 | ||||||||
\(290\) | −11.2485 | −0.660535 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −52.2171 | −3.05578 | ||||||||
\(293\) | −5.64553 | −0.329815 | −0.164908 | − | 0.986309i | \(-0.552733\pi\) | ||||
−0.164908 | + | 0.986309i | \(0.552733\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −50.2408 | −2.92513 | ||||||||
\(296\) | 19.7332 | 1.14697 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 24.5324 | 1.42112 | ||||||||
\(299\) | 4.95904 | 0.286789 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.49215 | −0.547118 | ||||||||
\(302\) | 11.5693 | 0.665738 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 22.3526 | 1.28201 | ||||||||
\(305\) | −16.9983 | −0.973318 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.42372 | 0.480767 | 0.240384 | − | 0.970678i | \(-0.422727\pi\) | ||||
0.240384 | + | 0.970678i | \(0.422727\pi\) | |||||||
\(308\) | −27.5294 | −1.56864 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5.06221 | 0.287514 | ||||||||
\(311\) | 19.9578 | 1.13170 | 0.565851 | − | 0.824508i | \(-0.308548\pi\) | ||||
0.565851 | + | 0.824508i | \(0.308548\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 25.5893 | 1.44639 | 0.723196 | − | 0.690643i | \(-0.242672\pi\) | ||||
0.723196 | + | 0.690643i | \(0.242672\pi\) | |||||||
\(314\) | −27.9297 | −1.57616 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 32.9162 | 1.85168 | ||||||||
\(317\) | −22.6572 | −1.27255 | −0.636277 | − | 0.771461i | \(-0.719526\pi\) | ||||
−0.636277 | + | 0.771461i | \(0.719526\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.11774 | −0.118571 | ||||||||
\(320\) | 6.69146 | 0.374064 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.45382 | 0.415385 | ||||||||
\(323\) | 3.69538 | 0.205617 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 72.9660 | 4.04743 | ||||||||
\(326\) | 55.8976 | 3.09588 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 77.5465 | 4.28179 | ||||||||
\(329\) | −35.8609 | −1.97708 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.61045 | 0.528238 | 0.264119 | − | 0.964490i | \(-0.414919\pi\) | ||||
0.264119 | + | 0.964490i | \(0.414919\pi\) | |||||||
\(332\) | −32.3099 | −1.77323 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −59.9087 | −3.27806 | ||||||||
\(335\) | −56.6225 | −3.09362 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −18.1093 | −0.986477 | −0.493238 | − | 0.869894i | \(-0.664187\pi\) | ||||
−0.493238 | + | 0.869894i | \(0.664187\pi\) | |||||||
\(338\) | −29.3678 | −1.59740 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −21.6804 | −1.17579 | ||||||||
\(341\) | 0.953054 | 0.0516107 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.7218 | 0.848900 | ||||||||
\(344\) | −19.7661 | −1.06571 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.11614 | 0.0600041 | ||||||||
\(347\) | −0.717163 | −0.0384993 | −0.0192497 | − | 0.999815i | \(-0.506128\pi\) | ||||
−0.0192497 | + | 0.999815i | \(0.506128\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.00291 | 0.160742 | 0.0803710 | − | 0.996765i | \(-0.474389\pi\) | ||||
0.0803710 | + | 0.996765i | \(0.474389\pi\) | |||||||
\(350\) | 109.674 | 5.86230 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −9.91620 | −0.528535 | ||||||||
\(353\) | 20.6107 | 1.09700 | 0.548499 | − | 0.836151i | \(-0.315200\pi\) | ||||
0.548499 | + | 0.836151i | \(0.315200\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −28.9442 | −1.53620 | ||||||||
\(356\) | −54.0589 | −2.86511 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 55.8433 | 2.95141 | ||||||||
\(359\) | −19.5454 | −1.03157 | −0.515783 | − | 0.856719i | \(-0.672499\pi\) | ||||
−0.515783 | + | 0.856719i | \(0.672499\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.81938 | −0.411547 | ||||||||
\(362\) | −12.7311 | −0.669133 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −64.4648 | −3.37887 | ||||||||
\(365\) | 52.4736 | 2.74659 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.70867 | 0.193591 | 0.0967955 | − | 0.995304i | \(-0.469141\pi\) | ||||
0.0967955 | + | 0.995304i | \(0.469141\pi\) | |||||||
\(368\) | 6.68489 | 0.348474 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −36.2301 | −1.88351 | ||||||||
\(371\) | −24.3224 | −1.26276 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −25.7046 | −1.33093 | −0.665466 | − | 0.746428i | \(-0.731767\pi\) | ||||
−0.665466 | + | 0.746428i | \(0.731767\pi\) | |||||||
\(374\) | −5.92938 | −0.306601 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −74.6753 | −3.85109 | ||||||||
\(377\) | −4.95904 | −0.255403 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.294547 | 0.0151299 | 0.00756494 | − | 0.999971i | \(-0.497592\pi\) | ||||
0.00756494 | + | 0.999971i | \(0.497592\pi\) | |||||||
\(380\) | −65.5955 | −3.36498 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.1432 | −0.570136 | ||||||||
\(383\) | −1.81469 | −0.0927262 | −0.0463631 | − | 0.998925i | \(-0.514763\pi\) | ||||
−0.0463631 | + | 0.998925i | \(0.514763\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 27.6646 | 1.40992 | ||||||||
\(386\) | −63.7761 | −3.24612 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −35.6610 | −1.81041 | ||||||||
\(389\) | −20.1583 | −1.02207 | −0.511033 | − | 0.859561i | \(-0.670737\pi\) | ||||
−0.511033 | + | 0.859561i | \(0.670737\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.10516 | 0.0558905 | ||||||||
\(392\) | −10.1481 | −0.512557 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 25.3466 | 1.27694 | ||||||||
\(395\) | −33.0778 | −1.66433 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 18.3145 | 0.919178 | 0.459589 | − | 0.888132i | \(-0.347997\pi\) | ||||
0.459589 | + | 0.888132i | \(0.347997\pi\) | |||||||
\(398\) | 45.3155 | 2.27146 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 98.3598 | 4.91799 | ||||||||
\(401\) | 21.1607 | 1.05672 | 0.528359 | − | 0.849021i | \(-0.322808\pi\) | ||||
0.528359 | + | 0.849021i | \(0.322808\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.23173 | 0.111171 | ||||||||
\(404\) | 5.41683 | 0.269497 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −7.45382 | −0.369927 | ||||||||
\(407\) | −6.82098 | −0.338103 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.51231 | −0.272566 | −0.136283 | − | 0.990670i | \(-0.543516\pi\) | ||||
−0.136283 | + | 0.990670i | \(0.543516\pi\) | |||||||
\(410\) | −142.375 | −7.03140 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 55.5236 | 2.73545 | ||||||||
\(413\) | −33.2920 | −1.63819 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 32.4685 | 1.59382 | ||||||||
\(416\) | −23.2204 | −1.13848 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −17.9397 | −0.877460 | ||||||||
\(419\) | 18.1880 | 0.888543 | 0.444272 | − | 0.895892i | \(-0.353462\pi\) | ||||
0.444272 | + | 0.895892i | \(0.353462\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.1946 | −0.496856 | −0.248428 | − | 0.968650i | \(-0.579914\pi\) | ||||
−0.248428 | + | 0.968650i | \(0.579914\pi\) | |||||||
\(422\) | 6.89002 | 0.335401 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −50.6480 | −2.45969 | ||||||||
\(425\) | 16.2611 | 0.788779 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −11.2639 | −0.545098 | ||||||||
\(428\) | −49.8366 | −2.40894 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 36.2904 | 1.75008 | ||||||||
\(431\) | 0.641700 | 0.0309096 | 0.0154548 | − | 0.999881i | \(-0.495080\pi\) | ||||
0.0154548 | + | 0.999881i | \(0.495080\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.59124 | 0.124527 | 0.0622636 | − | 0.998060i | \(-0.480168\pi\) | ||||
0.0622636 | + | 0.998060i | \(0.480168\pi\) | |||||||
\(434\) | 3.35447 | 0.161020 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −83.2699 | −3.98790 | ||||||||
\(437\) | 3.34374 | 0.159953 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.552183 | 0.0263543 | 0.0131771 | − | 0.999913i | \(-0.495805\pi\) | ||||
0.0131771 | + | 0.999913i | \(0.495805\pi\) | |||||||
\(440\) | 57.6077 | 2.74634 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −13.8846 | −0.660425 | ||||||||
\(443\) | 39.7633 | 1.88921 | 0.944605 | − | 0.328210i | \(-0.106445\pi\) | ||||
0.944605 | + | 0.328210i | \(0.106445\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 54.3244 | 2.57522 | ||||||||
\(446\) | 44.6519 | 2.11433 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 4.43409 | 0.209491 | ||||||||
\(449\) | −17.3139 | −0.817092 | −0.408546 | − | 0.912738i | \(-0.633964\pi\) | ||||
−0.408546 | + | 0.912738i | \(0.633964\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −26.8047 | −1.26218 | ||||||||
\(452\) | 3.66817 | 0.172536 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.07619 | −0.0974403 | ||||||||
\(455\) | 64.7814 | 3.03700 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.841205 | 0.0393499 | 0.0196750 | − | 0.999806i | \(-0.493737\pi\) | ||||
0.0196750 | + | 0.999806i | \(0.493737\pi\) | |||||||
\(458\) | −25.8634 | −1.20852 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −19.6174 | −0.914666 | ||||||||
\(461\) | −15.8075 | −0.736229 | −0.368114 | − | 0.929780i | \(-0.619997\pi\) | ||||
−0.368114 | + | 0.929780i | \(0.619997\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 38.4993 | 1.78922 | 0.894608 | − | 0.446852i | \(-0.147455\pi\) | ||||
0.894608 | + | 0.446852i | \(0.147455\pi\) | |||||||
\(464\) | −6.68489 | −0.310338 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −62.7452 | −2.90661 | ||||||||
\(467\) | −20.1242 | −0.931238 | −0.465619 | − | 0.884985i | \(-0.654168\pi\) | ||||
−0.465619 | + | 0.884985i | \(0.654168\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −37.5209 | −1.73255 | ||||||||
\(470\) | 137.104 | 6.32411 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −69.3260 | −3.19099 | ||||||||
\(473\) | 6.83232 | 0.314151 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 49.1990 | 2.25740 | ||||||||
\(476\) | −14.3665 | −0.658488 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −11.7246 | −0.536269 | ||||||||
\(479\) | 7.71639 | 0.352571 | 0.176286 | − | 0.984339i | \(-0.443592\pi\) | ||||
0.176286 | + | 0.984339i | \(0.443592\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.9725 | −0.728281 | ||||||||
\(482\) | −3.30326 | −0.150459 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −28.7862 | −1.30846 | ||||||||
\(485\) | 35.8361 | 1.62723 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.68391 | 0.348191 | 0.174096 | − | 0.984729i | \(-0.444300\pi\) | ||||
0.174096 | + | 0.984729i | \(0.444300\pi\) | |||||||
\(488\) | −23.4555 | −1.06178 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 18.6319 | 0.841702 | ||||||||
\(491\) | 5.92167 | 0.267241 | 0.133621 | − | 0.991033i | \(-0.457340\pi\) | ||||
0.133621 | + | 0.991033i | \(0.457340\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.10516 | −0.0497740 | ||||||||
\(494\) | −42.0089 | −1.89007 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.00843 | 0.135082 | ||||||||
\(497\) | −19.1799 | −0.860335 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.9844 | 0.581262 | 0.290631 | − | 0.956835i | \(-0.406135\pi\) | ||||
0.290631 | + | 0.956835i | \(0.406135\pi\) | |||||||
\(500\) | −190.558 | −8.52203 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −55.2986 | −2.46810 | ||||||||
\(503\) | 10.6449 | 0.474632 | 0.237316 | − | 0.971433i | \(-0.423732\pi\) | ||||
0.237316 | + | 0.971433i | \(0.423732\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.44343 | −0.242230 | ||||||||
\(506\) | −5.36516 | −0.238511 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 37.5097 | 1.66422 | ||||||||
\(509\) | 4.30842 | 0.190967 | 0.0954836 | − | 0.995431i | \(-0.469560\pi\) | ||||
0.0954836 | + | 0.995431i | \(0.469560\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 34.7716 | 1.53820 | ||||||||
\(512\) | 50.6105 | 2.23669 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −40.4503 | −1.78419 | ||||||||
\(515\) | −55.7962 | −2.45868 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 25.8122 | 1.13522 | ||||||||
\(518\) | −24.0078 | −1.05484 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 134.898 | 5.91567 | ||||||||
\(521\) | 19.1517 | 0.839052 | 0.419526 | − | 0.907743i | \(-0.362196\pi\) | ||||
0.419526 | + | 0.907743i | \(0.362196\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.7988 | −0.472196 | −0.236098 | − | 0.971729i | \(-0.575869\pi\) | ||||
−0.236098 | + | 0.971729i | \(0.575869\pi\) | |||||||
\(524\) | 35.6492 | 1.55734 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 18.1103 | 0.789648 | ||||||||
\(527\) | 0.497361 | 0.0216654 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.00000 | 0.0434783 | ||||||||
\(530\) | 92.9895 | 4.03920 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −43.4668 | −1.88453 | ||||||||
\(533\) | −62.7677 | −2.71877 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 50.0814 | 2.16521 | ||||||||
\(536\) | −78.1319 | −3.37478 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −64.8501 | −2.79589 | ||||||||
\(539\) | 3.50779 | 0.151091 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.3527 | −0.531083 | −0.265542 | − | 0.964099i | \(-0.585551\pi\) | ||||
−0.265542 | + | 0.964099i | \(0.585551\pi\) | |||||||
\(542\) | −17.7272 | −0.761449 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.17487 | −0.221871 | ||||||||
\(545\) | 83.6788 | 3.58441 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 42.9206 | 1.83515 | 0.917576 | − | 0.397559i | \(-0.130143\pi\) | ||||
0.917576 | + | 0.397559i | \(0.130143\pi\) | |||||||
\(548\) | 0.0963939 | 0.00411774 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −78.9416 | −3.36608 | ||||||||
\(551\) | −3.34374 | −0.142448 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −21.9190 | −0.932091 | ||||||||
\(554\) | −4.81759 | −0.204680 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −66.1910 | −2.80712 | ||||||||
\(557\) | −29.4259 | −1.24681 | −0.623407 | − | 0.781898i | \(-0.714252\pi\) | ||||
−0.623407 | + | 0.781898i | \(0.714252\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.9990 | 0.676687 | ||||||||
\(560\) | 87.3267 | 3.69023 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −36.3293 | −1.53246 | ||||||||
\(563\) | −27.2699 | −1.14929 | −0.574644 | − | 0.818404i | \(-0.694859\pi\) | ||||
−0.574644 | + | 0.818404i | \(0.694859\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.68618 | −0.155079 | ||||||||
\(566\) | 50.3271 | 2.11541 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −39.9394 | −1.67582 | ||||||||
\(569\) | 6.63812 | 0.278285 | 0.139142 | − | 0.990272i | \(-0.455565\pi\) | ||||
0.139142 | + | 0.990272i | \(0.455565\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 33.8991 | 1.41863 | 0.709317 | − | 0.704890i | \(-0.249004\pi\) | ||||
0.709317 | + | 0.704890i | \(0.249004\pi\) | |||||||
\(572\) | 46.4009 | 1.94012 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −94.3447 | −3.93787 | ||||||||
\(575\) | 14.7137 | 0.613606 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 26.4782 | 1.10230 | 0.551151 | − | 0.834405i | \(-0.314189\pi\) | ||||
0.551151 | + | 0.834405i | \(0.314189\pi\) | |||||||
\(578\) | 39.9742 | 1.66271 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 19.6174 | 0.814568 | ||||||||
\(581\) | 21.5153 | 0.892603 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 17.5070 | 0.725065 | ||||||||
\(584\) | 72.4069 | 2.99622 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 14.3026 | 0.590835 | ||||||||
\(587\) | 5.63371 | 0.232528 | 0.116264 | − | 0.993218i | \(-0.462908\pi\) | ||||
0.116264 | + | 0.993218i | \(0.462908\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.50480 | 0.0620041 | ||||||||
\(590\) | 127.282 | 5.24012 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −21.5312 | −0.884928 | ||||||||
\(593\) | 16.2741 | 0.668297 | 0.334148 | − | 0.942521i | \(-0.391551\pi\) | ||||
0.334148 | + | 0.942521i | \(0.391551\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 14.4371 | 0.591862 | ||||||||
\(596\) | −42.7845 | −1.75252 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −12.5634 | −0.513757 | ||||||||
\(599\) | 24.6590 | 1.00754 | 0.503769 | − | 0.863839i | \(-0.331946\pi\) | ||||
0.503769 | + | 0.863839i | \(0.331946\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.87303 | −0.198775 | −0.0993875 | − | 0.995049i | \(-0.531688\pi\) | ||||
−0.0993875 | + | 0.995049i | \(0.531688\pi\) | |||||||
\(602\) | 24.0478 | 0.980115 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −20.1768 | −0.820983 | ||||||||
\(605\) | 28.9275 | 1.17607 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 27.7980 | 1.12829 | 0.564143 | − | 0.825677i | \(-0.309207\pi\) | ||||
0.564143 | + | 0.825677i | \(0.309207\pi\) | |||||||
\(608\) | −15.6569 | −0.634971 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 43.0641 | 1.74361 | ||||||||
\(611\) | 60.4437 | 2.44529 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.64314 | 0.147145 | 0.0735726 | − | 0.997290i | \(-0.476560\pi\) | ||||
0.0735726 | + | 0.997290i | \(0.476560\pi\) | |||||||
\(614\) | −21.3410 | −0.861252 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 38.1737 | 1.53806 | ||||||||
\(617\) | 8.12398 | 0.327059 | 0.163529 | − | 0.986538i | \(-0.447712\pi\) | ||||
0.163529 | + | 0.986538i | \(0.447712\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −29.1336 | −1.17098 | −0.585490 | − | 0.810680i | \(-0.699098\pi\) | ||||
−0.585490 | + | 0.810680i | \(0.699098\pi\) | |||||||
\(620\) | −8.82849 | −0.354561 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −50.5618 | −2.02734 | ||||||||
\(623\) | 35.9980 | 1.44223 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 117.926 | 4.71702 | ||||||||
\(626\) | −64.8289 | −2.59108 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 48.7094 | 1.94372 | ||||||||
\(629\) | −3.55960 | −0.141930 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26.5387 | −1.05649 | −0.528244 | − | 0.849092i | \(-0.677150\pi\) | ||||
−0.528244 | + | 0.849092i | \(0.677150\pi\) | |||||||
\(632\) | −45.6432 | −1.81559 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 57.4006 | 2.27967 | ||||||||
\(635\) | −37.6939 | −1.49584 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8.21408 | 0.325454 | ||||||||
\(638\) | 5.36516 | 0.212409 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −58.5327 | −2.31371 | ||||||||
\(641\) | −23.1736 | −0.915302 | −0.457651 | − | 0.889132i | \(-0.651309\pi\) | ||||
−0.457651 | + | 0.889132i | \(0.651309\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −19.5316 | −0.770249 | −0.385125 | − | 0.922865i | \(-0.625842\pi\) | ||||
−0.385125 | + | 0.922865i | \(0.625842\pi\) | |||||||
\(644\) | −12.9995 | −0.512250 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.36203 | −0.368344 | ||||||||
\(647\) | 40.3682 | 1.58704 | 0.793519 | − | 0.608545i | \(-0.208246\pi\) | ||||
0.793519 | + | 0.608545i | \(0.208246\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 23.9632 | 0.940637 | ||||||||
\(650\) | −184.855 | −7.25061 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −97.4855 | −3.81783 | ||||||||
\(653\) | 4.39476 | 0.171980 | 0.0859901 | − | 0.996296i | \(-0.472595\pi\) | ||||
0.0859901 | + | 0.996296i | \(0.472595\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −35.8243 | −1.39977 | ||||||||
\(656\) | −84.6122 | −3.30355 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 90.8515 | 3.54176 | ||||||||
\(659\) | 7.66543 | 0.298603 | 0.149301 | − | 0.988792i | \(-0.452298\pi\) | ||||
0.149301 | + | 0.988792i | \(0.452298\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −47.1898 | −1.83547 | −0.917735 | − | 0.397194i | \(-0.869984\pi\) | ||||
−0.917735 | + | 0.397194i | \(0.869984\pi\) | |||||||
\(662\) | −24.3475 | −0.946293 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 44.8025 | 1.73867 | ||||||||
\(665\) | 43.6803 | 1.69385 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.00000 | −0.0387202 | ||||||||
\(668\) | 104.481 | 4.04248 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 143.450 | 5.54194 | ||||||||
\(671\) | 8.10760 | 0.312991 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.4936 | 0.905613 | 0.452806 | − | 0.891609i | \(-0.350423\pi\) | ||||
0.452806 | + | 0.891609i | \(0.350423\pi\) | |||||||
\(674\) | 45.8788 | 1.76719 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 51.2174 | 1.96990 | ||||||||
\(677\) | 19.2955 | 0.741586 | 0.370793 | − | 0.928716i | \(-0.379086\pi\) | ||||
0.370793 | + | 0.928716i | \(0.379086\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 23.7468 | 0.911317 | ||||||||
\(680\) | 30.0632 | 1.15287 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.41450 | −0.0924561 | ||||||||
\(683\) | 3.82541 | 0.146375 | 0.0731876 | − | 0.997318i | \(-0.476683\pi\) | ||||
0.0731876 | + | 0.997318i | \(0.476683\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.0968673 | −0.00370111 | ||||||||
\(686\) | −39.8303 | −1.52073 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 21.5670 | 0.822236 | ||||||||
\(689\) | 40.9955 | 1.56180 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.7012 | 0.635342 | 0.317671 | − | 0.948201i | \(-0.397099\pi\) | ||||
0.317671 | + | 0.948201i | \(0.397099\pi\) | |||||||
\(692\) | −1.94655 | −0.0739967 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.81689 | 0.0689682 | ||||||||
\(695\) | 66.5161 | 2.52310 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −13.9883 | −0.529845 | ||||||||
\(698\) | −7.60769 | −0.287955 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −191.271 | −7.22935 | ||||||||
\(701\) | 14.9920 | 0.566241 | 0.283120 | − | 0.959084i | \(-0.408630\pi\) | ||||
0.283120 | + | 0.959084i | \(0.408630\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.7698 | −0.406190 | ||||||||
\(704\) | −3.19160 | −0.120288 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −52.2160 | −1.96517 | ||||||||
\(707\) | −3.60709 | −0.135658 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 39.9822 | 1.50156 | 0.750781 | − | 0.660551i | \(-0.229677\pi\) | ||||
0.750781 | + | 0.660551i | \(0.229677\pi\) | |||||||
\(710\) | 73.3284 | 2.75197 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 74.9607 | 2.80927 | ||||||||
\(713\) | 0.450034 | 0.0168539 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −46.6288 | −1.74382 | ||||||||
\(716\) | −97.3907 | −3.63966 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 49.5170 | 1.84796 | ||||||||
\(719\) | −25.3557 | −0.945607 | −0.472803 | − | 0.881168i | \(-0.656758\pi\) | ||||
−0.472803 | + | 0.881168i | \(0.656758\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −36.9733 | −1.37696 | ||||||||
\(722\) | 19.8099 | 0.737250 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 22.2031 | 0.825171 | ||||||||
\(725\) | −14.7137 | −0.546455 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −20.5063 | −0.760535 | −0.380267 | − | 0.924877i | \(-0.624168\pi\) | ||||
−0.380267 | + | 0.924877i | \(0.624168\pi\) | |||||||
\(728\) | 89.3901 | 3.31302 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −132.939 | −4.92028 | ||||||||
\(731\) | 3.56552 | 0.131875 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 41.5274 | 1.53385 | 0.766925 | − | 0.641737i | \(-0.221786\pi\) | ||||
0.766925 | + | 0.641737i | \(0.221786\pi\) | |||||||
\(734\) | −9.39569 | −0.346801 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.68245 | −0.172597 | ||||||||
\(737\) | 27.0070 | 0.994817 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −37.2473 | −1.37016 | −0.685082 | − | 0.728465i | \(-0.740234\pi\) | ||||
−0.685082 | + | 0.728465i | \(0.740234\pi\) | |||||||
\(740\) | 63.1853 | 2.32274 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 61.6194 | 2.26212 | ||||||||
\(743\) | −22.5568 | −0.827530 | −0.413765 | − | 0.910384i | \(-0.635786\pi\) | ||||
−0.413765 | + | 0.910384i | \(0.635786\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 42.9946 | 1.57520 | ||||||||
\(746\) | 65.1210 | 2.38425 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 10.3408 | 0.378098 | ||||||||
\(749\) | 33.1864 | 1.21260 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.01903 | 0.146656 | 0.0733282 | − | 0.997308i | \(-0.476638\pi\) | ||||
0.0733282 | + | 0.997308i | \(0.476638\pi\) | |||||||
\(752\) | 81.4794 | 2.97125 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 12.5634 | 0.457533 | ||||||||
\(755\) | 20.2759 | 0.737916 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 35.7160 | 1.29812 | 0.649060 | − | 0.760737i | \(-0.275162\pi\) | ||||
0.649060 | + | 0.760737i | \(0.275162\pi\) | |||||||
\(758\) | −0.746218 | −0.0271039 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 90.9581 | 3.29940 | ||||||||
\(761\) | −14.2618 | −0.516990 | −0.258495 | − | 0.966013i | \(-0.583227\pi\) | ||||
−0.258495 | + | 0.966013i | \(0.583227\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 55.4497 | 2.00741 | ||||||||
\(764\) | 19.4337 | 0.703088 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 4.59740 | 0.166111 | ||||||||
\(767\) | 56.1138 | 2.02615 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.12092 | 0.292848 | 0.146424 | − | 0.989222i | \(-0.453224\pi\) | ||||
0.146424 | + | 0.989222i | \(0.453224\pi\) | |||||||
\(770\) | −70.0867 | −2.52575 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 111.226 | 4.00309 | ||||||||
\(773\) | 39.1617 | 1.40855 | 0.704275 | − | 0.709927i | \(-0.251272\pi\) | ||||
0.704275 | + | 0.709927i | \(0.251272\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.62168 | 0.237858 | ||||||||
\(776\) | 49.4493 | 1.77513 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 51.0698 | 1.83094 | ||||||||
\(779\) | −42.3225 | −1.51636 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 13.8054 | 0.493997 | ||||||||
\(782\) | −2.79986 | −0.100123 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 11.0728 | 0.395456 | ||||||||
\(785\) | −48.9486 | −1.74705 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −8.45412 | −0.301357 | −0.150678 | − | 0.988583i | \(-0.548146\pi\) | ||||
−0.150678 | + | 0.988583i | \(0.548146\pi\) | |||||||
\(788\) | −44.2045 | −1.57472 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 83.8007 | 2.98150 | ||||||||
\(791\) | −2.44265 | −0.0868505 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.9853 | 0.674188 | ||||||||
\(794\) | −46.3987 | −1.64663 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −79.0303 | −2.80115 | ||||||||
\(797\) | −32.7938 | −1.16162 | −0.580809 | − | 0.814040i | \(-0.697264\pi\) | ||||
−0.580809 | + | 0.814040i | \(0.697264\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 13.4704 | 0.476548 | ||||||||
\(800\) | −68.8964 | −2.43585 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −53.6095 | −1.89302 | ||||||||
\(803\) | −25.0281 | −0.883223 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 13.0633 | 0.460421 | ||||||||
\(806\) | −5.65396 | −0.199152 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −7.51125 | −0.264245 | ||||||||
\(809\) | −27.8798 | −0.980203 | −0.490101 | − | 0.871665i | \(-0.663040\pi\) | ||||
−0.490101 | + | 0.871665i | \(0.663040\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 20.5996 | 0.723351 | 0.361676 | − | 0.932304i | \(-0.382205\pi\) | ||||
0.361676 | + | 0.932304i | \(0.382205\pi\) | |||||||
\(812\) | 12.9995 | 0.456191 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 17.2805 | 0.605682 | ||||||||
\(815\) | 97.9642 | 3.43154 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.7877 | 0.377414 | ||||||||
\(818\) | 13.9651 | 0.488279 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 248.302 | 8.67108 | ||||||||
\(821\) | 52.9011 | 1.84626 | 0.923130 | − | 0.384487i | \(-0.125622\pi\) | ||||
0.923130 | + | 0.384487i | \(0.125622\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −23.8386 | −0.830962 | −0.415481 | − | 0.909602i | \(-0.636387\pi\) | ||||
−0.415481 | + | 0.909602i | \(0.636387\pi\) | |||||||
\(824\) | −76.9918 | −2.68213 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 84.3434 | 2.93468 | ||||||||
\(827\) | 17.8912 | 0.622136 | 0.311068 | − | 0.950388i | \(-0.399313\pi\) | ||||
0.311068 | + | 0.950388i | \(0.399313\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 41.2215 | 1.43168 | 0.715840 | − | 0.698264i | \(-0.246044\pi\) | ||||
0.715840 | + | 0.698264i | \(0.246044\pi\) | |||||||
\(830\) | −82.2571 | −2.85519 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −7.47367 | −0.259103 | ||||||||
\(833\) | 1.83058 | 0.0634257 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −104.994 | −3.63346 | ||||||||
\(836\) | 31.2869 | 1.08208 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −46.0783 | −1.59175 | ||||||||
\(839\) | −39.4436 | −1.36174 | −0.680872 | − | 0.732403i | \(-0.738399\pi\) | ||||
−0.680872 | + | 0.732403i | \(0.738399\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.00000 | 0.0344828 | ||||||||
\(842\) | 25.8275 | 0.890075 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −12.0162 | −0.413615 | ||||||||
\(845\) | −51.4689 | −1.77059 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 19.1688 | 0.658648 | ||||||||
\(848\) | 55.2628 | 1.89773 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −41.1965 | −1.41303 | ||||||||
\(851\) | −3.22088 | −0.110410 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.71865 | −0.230042 | −0.115021 | − | 0.993363i | \(-0.536694\pi\) | ||||
−0.115021 | + | 0.993363i | \(0.536694\pi\) | |||||||
\(854\) | 28.5364 | 0.976495 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 69.1060 | 2.36199 | ||||||||
\(857\) | −28.4733 | −0.972628 | −0.486314 | − | 0.873784i | \(-0.661659\pi\) | ||||
−0.486314 | + | 0.873784i | \(0.661659\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −31.9843 | −1.09129 | −0.545645 | − | 0.838017i | \(-0.683715\pi\) | ||||
−0.545645 | + | 0.838017i | \(0.683715\pi\) | |||||||
\(860\) | −63.2904 | −2.15818 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.62571 | −0.0553718 | ||||||||
\(863\) | −51.8924 | −1.76644 | −0.883218 | − | 0.468962i | \(-0.844628\pi\) | ||||
−0.883218 | + | 0.468962i | \(0.844628\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.95611 | 0.0665097 | ||||||||
\(866\) | −6.56476 | −0.223080 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −5.85019 | −0.198568 | ||||||||
\(869\) | 15.7770 | 0.535199 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 63.2415 | 2.14286 | ||||||||
\(872\) | 115.466 | 3.91018 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −8.47117 | −0.286542 | ||||||||
\(875\) | 126.894 | 4.28978 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 13.6092 | 0.459551 | 0.229775 | − | 0.973244i | \(-0.426201\pi\) | ||||
0.229775 | + | 0.973244i | \(0.426201\pi\) | |||||||
\(878\) | −1.39892 | −0.0472114 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −62.8566 | −2.11890 | ||||||||
\(881\) | −52.6757 | −1.77469 | −0.887345 | − | 0.461106i | \(-0.847453\pi\) | ||||
−0.887345 | + | 0.461106i | \(0.847453\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −26.9435 | −0.906720 | −0.453360 | − | 0.891328i | \(-0.649775\pi\) | ||||
−0.453360 | + | 0.891328i | \(0.649775\pi\) | |||||||
\(884\) | 24.2148 | 0.814432 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −100.738 | −3.38435 | ||||||||
\(887\) | −0.584619 | −0.0196296 | −0.00981480 | − | 0.999952i | \(-0.503124\pi\) | ||||
−0.00981480 | + | 0.999952i | \(0.503124\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −24.9778 | −0.837730 | ||||||||
\(890\) | −137.627 | −4.61328 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −77.8729 | −2.60738 | ||||||||
\(893\) | 40.7555 | 1.36383 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 97.8690 | 3.27140 | ||||||||
\(896\) | −38.7867 | −1.29577 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 43.8637 | 1.46375 | ||||||||
\(899\) | −0.450034 | −0.0150095 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 9.13619 | 0.304371 | ||||||||
\(902\) | 67.9081 | 2.26109 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −5.08646 | −0.169173 | ||||||||
\(905\) | −22.3121 | −0.741680 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −36.4128 | −1.20907 | −0.604534 | − | 0.796580i | \(-0.706641\pi\) | ||||
−0.604534 | + | 0.796580i | \(0.706641\pi\) | |||||||
\(908\) | 3.62087 | 0.120163 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −164.120 | −5.44052 | ||||||||
\(911\) | −22.2410 | −0.736877 | −0.368439 | − | 0.929652i | \(-0.620108\pi\) | ||||
−0.368439 | + | 0.929652i | \(0.620108\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −15.4864 | −0.512525 | ||||||||
\(914\) | −2.13114 | −0.0704919 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 45.1058 | 1.49034 | ||||||||
\(917\) | −23.7390 | −0.783930 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −36.8297 | −1.21490 | −0.607450 | − | 0.794358i | \(-0.707808\pi\) | ||||
−0.607450 | + | 0.794358i | \(0.707808\pi\) | |||||||
\(920\) | 27.2025 | 0.896839 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 40.0474 | 1.31889 | ||||||||
\(923\) | 32.3277 | 1.06408 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −47.3912 | −1.55821 | ||||||||
\(926\) | −97.5358 | −3.20522 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.68245 | 0.153709 | ||||||||
\(929\) | −22.9737 | −0.753741 | −0.376871 | − | 0.926266i | \(-0.623000\pi\) | ||||
−0.376871 | + | 0.926266i | \(0.623000\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.53853 | 0.181518 | ||||||||
\(932\) | 109.428 | 3.58442 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 50.9835 | 1.66823 | ||||||||
\(935\) | −10.3916 | −0.339842 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −35.7106 | −1.16661 | −0.583307 | − | 0.812252i | \(-0.698242\pi\) | ||||
−0.583307 | + | 0.812252i | \(0.698242\pi\) | |||||||
\(938\) | 95.0568 | 3.10372 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −239.108 | −7.79886 | ||||||||
\(941\) | 22.7389 | 0.741266 | 0.370633 | − | 0.928779i | \(-0.379141\pi\) | ||||
0.370633 | + | 0.928779i | \(0.379141\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −12.6572 | −0.412176 | ||||||||
\(944\) | 75.6426 | 2.46196 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −17.3093 | −0.562773 | ||||||||
\(947\) | −31.7380 | −1.03135 | −0.515673 | − | 0.856786i | \(-0.672458\pi\) | ||||
−0.515673 | + | 0.856786i | \(0.672458\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −58.6075 | −1.90248 | ||||||||
\(950\) | −124.643 | −4.04394 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 19.9213 | 0.645654 | ||||||||
\(953\) | −51.4807 | −1.66762 | −0.833811 | − | 0.552049i | \(-0.813846\pi\) | ||||
−0.833811 | + | 0.552049i | \(0.813846\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −19.5292 | −0.631950 | ||||||||
\(956\) | 20.4476 | 0.661323 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −19.5490 | −0.631600 | ||||||||
\(959\) | −0.0641890 | −0.00207277 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.7975 | −0.993467 | ||||||||
\(962\) | 40.4653 | 1.30465 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.76088 | 0.185545 | ||||||||
\(965\) | −111.772 | −3.59806 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.0572233 | −0.00184018 | −0.000920088 | − | 1.00000i | \(-0.500293\pi\) | ||||
−0.000920088 | 1.00000i | \(0.500293\pi\) | ||||||||
\(968\) | 39.9163 | 1.28296 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −90.7886 | −2.91505 | ||||||||
\(971\) | −24.4473 | −0.784552 | −0.392276 | − | 0.919847i | \(-0.628312\pi\) | ||||
−0.392276 | + | 0.919847i | \(0.628312\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 44.0768 | 1.41304 | ||||||||
\(974\) | −19.4667 | −0.623754 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 25.5926 | 0.819200 | ||||||||
\(977\) | −35.7213 | −1.14283 | −0.571413 | − | 0.820662i | \(-0.693605\pi\) | ||||
−0.571413 | + | 0.820662i | \(0.693605\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −25.9109 | −0.828116 | ||||||||
\(980\) | −32.4940 | −1.03798 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −15.0022 | −0.478739 | ||||||||
\(983\) | 4.24384 | 0.135357 | 0.0676787 | − | 0.997707i | \(-0.478441\pi\) | ||||
0.0676787 | + | 0.997707i | \(0.478441\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 44.4216 | 1.41539 | ||||||||
\(986\) | 2.79986 | 0.0891659 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 73.2634 | 2.33082 | ||||||||
\(989\) | 3.22624 | 0.102588 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.5288 | 0.493290 | 0.246645 | − | 0.969106i | \(-0.420672\pi\) | ||||
0.246645 | + | 0.969106i | \(0.420672\pi\) | |||||||
\(992\) | −2.10726 | −0.0669056 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 48.5910 | 1.54121 | ||||||||
\(995\) | 79.4184 | 2.51773 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 26.3595 | 0.834813 | 0.417407 | − | 0.908720i | \(-0.362939\pi\) | ||||
0.417407 | + | 0.908720i | \(0.362939\pi\) | |||||||
\(998\) | −32.8952 | −1.04128 | ||||||||
\(999\) | 0 | 0 |
(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 | 6003.2.a.v.1.3 | ✓ | 30 | |
3.2 | odd | 2 | 6003.2.a.w.1.28 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6003.2.a.v.1.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
6003.2.a.w.1.28 | yes | 30 | 3.2 | odd | 2 |