Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6032,2,Mod(1,6032)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6032, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 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("6032.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6032 = 2^{4} \cdot 13 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6032.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: | \(48.1657624992\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} - 21x^{8} + 40x^{7} + 138x^{6} - 243x^{5} - 318x^{4} + 448x^{3} + 312x^{2} - 240x - 128 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 3016) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.10 | ||
Root | \(-3.19372\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 6032.1 |
$q$-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 | ||||||||
\(3\) | 3.19372 | 1.84389 | 0.921947 | − | 0.387316i | \(-0.126598\pi\) | ||||
0.921947 | + | 0.387316i | \(0.126598\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.55069 | 1.58792 | 0.793958 | − | 0.607973i | \(-0.208017\pi\) | ||||
0.793958 | + | 0.607973i | \(0.208017\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0377760 | 0.0142780 | 0.00713898 | − | 0.999975i | \(-0.497728\pi\) | ||||
0.00713898 | + | 0.999975i | \(0.497728\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 7.19984 | 2.39995 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.32931 | −0.702314 | −0.351157 | − | 0.936317i | \(-0.614212\pi\) | ||||
−0.351157 | + | 0.936317i | \(0.614212\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 11.3399 | 2.92795 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.44877 | 1.07898 | 0.539492 | − | 0.841990i | \(-0.318616\pi\) | ||||
0.539492 | + | 0.841990i | \(0.318616\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −8.18121 | −1.87690 | −0.938449 | − | 0.345418i | \(-0.887737\pi\) | ||||
−0.938449 | + | 0.345418i | \(0.887737\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.120646 | 0.0263271 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.15419 | −0.657693 | −0.328847 | − | 0.944383i | \(-0.606660\pi\) | ||||
−0.328847 | + | 0.944383i | \(0.606660\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.60738 | 1.52148 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 13.4131 | 2.58135 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.00000 | −0.185695 | ||||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.23096 | 0.939509 | 0.469754 | − | 0.882797i | \(-0.344343\pi\) | ||||
0.469754 | + | 0.882797i | \(0.344343\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −7.43916 | −1.29499 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.134131 | 0.0226722 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.42958 | 0.892617 | 0.446308 | − | 0.894879i | \(-0.352738\pi\) | ||||
0.446308 | + | 0.894879i | \(0.352738\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.19372 | 0.511404 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 11.2645 | 1.75922 | 0.879608 | − | 0.475699i | \(-0.157805\pi\) | ||||
0.879608 | + | 0.475699i | \(0.157805\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.883058 | 0.134665 | 0.0673325 | − | 0.997731i | \(-0.478551\pi\) | ||||
0.0673325 | + | 0.997731i | \(0.478551\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 25.5644 | 3.81091 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.08755 | −0.887961 | −0.443980 | − | 0.896036i | \(-0.646434\pi\) | ||||
−0.443980 | + | 0.896036i | \(0.646434\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.99857 | −0.999796 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 14.2081 | 1.98953 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −13.0163 | −1.78793 | −0.893963 | − | 0.448141i | \(-0.852086\pi\) | ||||
−0.893963 | + | 0.448141i | \(0.852086\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.27065 | −1.11521 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −26.1285 | −3.46080 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.25215 | 0.163016 | 0.0815079 | − | 0.996673i | \(-0.474026\pi\) | ||||
0.0815079 | + | 0.996673i | \(0.474026\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.20275 | 0.922217 | 0.461109 | − | 0.887344i | \(-0.347452\pi\) | ||||
0.461109 | + | 0.887344i | \(0.347452\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.271981 | 0.0342663 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.55069 | 0.440408 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.92451 | 0.479455 | 0.239727 | − | 0.970840i | \(-0.422942\pi\) | ||||
0.239727 | + | 0.970840i | \(0.422942\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −10.0736 | −1.21272 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.80178 | 0.925902 | 0.462951 | − | 0.886384i | \(-0.346791\pi\) | ||||
0.462951 | + | 0.886384i | \(0.346791\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.98215 | 0.349035 | 0.174517 | − | 0.984654i | \(-0.444163\pi\) | ||||
0.174517 | + | 0.984654i | \(0.444163\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 24.2958 | 2.80544 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.0879919 | −0.0100276 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.4220 | 1.17257 | 0.586285 | − | 0.810105i | \(-0.300590\pi\) | ||||
0.586285 | + | 0.810105i | \(0.300590\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 21.2381 | 2.35979 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 12.2932 | 1.34935 | 0.674677 | − | 0.738113i | \(-0.264283\pi\) | ||||
0.674677 | + | 0.738113i | \(0.264283\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 15.7962 | 1.71334 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.19372 | −0.342403 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −10.6546 | −1.12938 | −0.564690 | − | 0.825303i | \(-0.691004\pi\) | ||||
−0.564690 | + | 0.825303i | \(0.691004\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0377760 | 0.00396000 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 16.7062 | 1.73235 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −29.0489 | −2.98036 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.83038 | −0.591985 | −0.295993 | − | 0.955190i | \(-0.595650\pi\) | ||||
−0.295993 | + | 0.955190i | \(0.595650\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −16.7707 | −1.68551 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.27263 | 0.524647 | 0.262323 | − | 0.964980i | \(-0.415511\pi\) | ||||
0.262323 | + | 0.964980i | \(0.415511\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.88582 | −0.974079 | −0.487040 | − | 0.873380i | \(-0.661923\pi\) | ||||
−0.487040 | + | 0.873380i | \(0.661923\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.428375 | 0.0418051 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 14.7126 | 1.42232 | 0.711159 | − | 0.703031i | \(-0.248171\pi\) | ||||
0.711159 | + | 0.703031i | \(0.248171\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.50664 | 0.527441 | 0.263720 | − | 0.964599i | \(-0.415050\pi\) | ||||
0.263720 | + | 0.964599i | \(0.415050\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 17.3405 | 1.64589 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.36130 | −0.692493 | −0.346246 | − | 0.938144i | \(-0.612544\pi\) | ||||
−0.346246 | + | 0.938144i | \(0.612544\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −11.1995 | −1.04436 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 7.19984 | 0.665625 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.168056 | 0.0154057 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.57431 | −0.506756 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 35.9756 | 3.24381 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.25797 | 0.828058 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.3678 | −0.919990 | −0.459995 | − | 0.887922i | \(-0.652149\pi\) | ||||
−0.459995 | + | 0.887922i | \(0.652149\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.82024 | 0.248308 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −14.4737 | −1.26457 | −0.632285 | − | 0.774736i | \(-0.717883\pi\) | ||||
−0.632285 | + | 0.774736i | \(0.717883\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.309053 | −0.0267983 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 47.6257 | 4.09897 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 8.88198 | 0.758839 | 0.379420 | − | 0.925225i | \(-0.376124\pi\) | ||||
0.379420 | + | 0.925225i | \(0.376124\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.67810 | −0.481610 | −0.240805 | − | 0.970574i | \(-0.577411\pi\) | ||||
−0.240805 | + | 0.970574i | \(0.577411\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −19.4419 | −1.63731 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −2.32931 | −0.194787 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.55069 | −0.294868 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −22.3515 | −1.84352 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.441665 | −0.0361826 | −0.0180913 | − | 0.999836i | \(-0.505759\pi\) | ||||
−0.0180913 | + | 0.999836i | \(0.505759\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.0305 | −1.14178 | −0.570892 | − | 0.821025i | \(-0.693402\pi\) | ||||
−0.570892 | + | 0.821025i | \(0.693402\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 32.0304 | 2.58950 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 18.5735 | 1.49186 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −18.8799 | −1.50678 | −0.753392 | − | 0.657572i | \(-0.771584\pi\) | ||||
−0.753392 | + | 0.657572i | \(0.771584\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −41.5704 | −3.29675 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.119152 | −0.00939052 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 16.9553 | 1.32804 | 0.664021 | − | 0.747714i | \(-0.268849\pi\) | ||||
0.664021 | + | 0.747714i | \(0.268849\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −26.4141 | −2.05634 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.819711 | −0.0634311 | −0.0317156 | − | 0.999497i | \(-0.510097\pi\) | ||||
−0.0317156 | + | 0.999497i | \(0.510097\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −58.9034 | −4.50445 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.83996 | −0.215919 | −0.107959 | − | 0.994155i | \(-0.534432\pi\) | ||||
−0.107959 | + | 0.994155i | \(0.534432\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.287376 | 0.0217236 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 3.99901 | 0.300584 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −13.6353 | −1.01915 | −0.509576 | − | 0.860426i | \(-0.670198\pi\) | ||||
−0.509576 | + | 0.860426i | \(0.670198\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.8639 | −1.10482 | −0.552412 | − | 0.833571i | \(-0.686293\pi\) | ||||
−0.552412 | + | 0.833571i | \(0.686293\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 23.0035 | 1.70047 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 19.2787 | 1.41740 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −10.3626 | −0.757786 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.506693 | 0.0368565 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.6865 | −0.845603 | −0.422802 | − | 0.906222i | \(-0.638953\pi\) | ||||
−0.422802 | + | 0.906222i | \(0.638953\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.66785 | 0.479963 | 0.239981 | − | 0.970778i | \(-0.422859\pi\) | ||||
0.239981 | + | 0.970778i | \(0.422859\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 11.3399 | 0.812067 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 26.1055 | 1.85994 | 0.929969 | − | 0.367637i | \(-0.119833\pi\) | ||||
0.929969 | + | 0.367637i | \(0.119833\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −21.0213 | −1.49016 | −0.745080 | − | 0.666975i | \(-0.767589\pi\) | ||||
−0.745080 | + | 0.666975i | \(0.767589\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.5338 | 0.884064 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.0377760 | −0.00265135 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 39.9966 | 2.79349 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −22.7096 | −1.57843 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 19.0566 | 1.31817 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −19.5071 | −1.34292 | −0.671462 | − | 0.741039i | \(-0.734333\pi\) | ||||
−0.671462 | + | 0.741039i | \(0.734333\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 24.9167 | 1.70726 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.13546 | 0.213837 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.197605 | 0.0134143 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 9.52416 | 0.643583 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 4.44877 | 0.299257 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.8263 | 0.724981 | 0.362491 | − | 0.931987i | \(-0.381926\pi\) | ||||
0.362491 | + | 0.931987i | \(0.381926\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 54.7719 | 3.65146 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 14.4455 | 0.958782 | 0.479391 | − | 0.877601i | \(-0.340858\pi\) | ||||
0.479391 | + | 0.877601i | \(0.340858\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.687312 | −0.0454188 | −0.0227094 | − | 0.999742i | \(-0.507229\pi\) | ||||
−0.0227094 | + | 0.999742i | \(0.507229\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.281021 | −0.0184899 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −21.5573 | −1.41227 | −0.706133 | − | 0.708079i | \(-0.749562\pi\) | ||||
−0.706133 | + | 0.708079i | \(0.749562\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −21.6150 | −1.41001 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 33.2850 | 2.16209 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −29.4262 | −1.90342 | −0.951711 | − | 0.306995i | \(-0.900676\pi\) | ||||
−0.951711 | + | 0.306995i | \(0.900676\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 27.5514 | 1.77474 | 0.887370 | − | 0.461058i | \(-0.152530\pi\) | ||||
0.887370 | + | 0.461058i | \(0.152530\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 27.5894 | 1.76986 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −24.8497 | −1.58759 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.18121 | −0.520558 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 39.2610 | 2.48806 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 27.5958 | 1.74183 | 0.870917 | − | 0.491431i | \(-0.163526\pi\) | ||||
0.870917 | + | 0.491431i | \(0.163526\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.34708 | 0.461907 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 50.4486 | 3.15921 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.25598 | 0.203102 | 0.101551 | − | 0.994830i | \(-0.467619\pi\) | ||||
0.101551 | + | 0.994830i | \(0.467619\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.205107 | 0.0127448 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −7.19984 | −0.445659 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.06561 | −0.0657081 | −0.0328541 | − | 0.999460i | \(-0.510460\pi\) | ||||
−0.0328541 | + | 0.999460i | \(0.510460\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −46.2168 | −2.83907 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −34.0277 | −2.08246 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −7.15804 | −0.436433 | −0.218217 | − | 0.975900i | \(-0.570024\pi\) | ||||
−0.218217 | + | 0.975900i | \(0.570024\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.4567 | −0.878184 | −0.439092 | − | 0.898442i | \(-0.644700\pi\) | ||||
−0.439092 | + | 0.898442i | \(0.644700\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.120646 | 0.00730181 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −17.7199 | −1.06855 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.45236 | −0.387685 | −0.193842 | − | 0.981033i | \(-0.562095\pi\) | ||||
−0.193842 | + | 0.981033i | \(0.562095\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 37.6621 | 2.25477 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −8.19756 | −0.489025 | −0.244513 | − | 0.969646i | \(-0.578628\pi\) | ||||
−0.244513 | + | 0.969646i | \(0.578628\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 20.0718 | 1.19314 | 0.596572 | − | 0.802560i | \(-0.296529\pi\) | ||||
0.596572 | + | 0.802560i | \(0.296529\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −92.7740 | −5.49546 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.425526 | 0.0251180 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.79154 | 0.164208 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −18.6206 | −1.09156 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −33.2167 | −1.94054 | −0.970269 | − | 0.242028i | \(-0.922188\pi\) | ||||
−0.970269 | + | 0.242028i | \(0.922188\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.44599 | 0.258855 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −31.2433 | −1.81292 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.15419 | −0.182411 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.0333583 | 0.00192274 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 16.8393 | 0.967393 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 25.5747 | 1.46440 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −22.0435 | −1.25809 | −0.629045 | − | 0.777369i | \(-0.716554\pi\) | ||||
−0.629045 | + | 0.777369i | \(0.716554\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −31.5725 | −1.79610 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 14.4470 | 0.819212 | 0.409606 | − | 0.912263i | \(-0.365666\pi\) | ||||
0.409606 | + | 0.912263i | \(0.365666\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −24.3826 | −1.37819 | −0.689093 | − | 0.724673i | \(-0.741991\pi\) | ||||
−0.689093 | + | 0.724673i | \(0.741991\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.965718 | 0.0544121 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −19.2482 | −1.08109 | −0.540544 | − | 0.841316i | \(-0.681781\pi\) | ||||
−0.540544 | + | 0.841316i | \(0.681781\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.32931 | 0.130416 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 46.9878 | 2.62260 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −36.3963 | −2.02514 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.60738 | 0.421981 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 17.5867 | 0.972545 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.229963 | −0.0126783 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −25.3527 | −1.39351 | −0.696756 | − | 0.717309i | \(-0.745374\pi\) | ||||
−0.696756 | + | 0.717309i | \(0.745374\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 39.0921 | 2.14223 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 13.9347 | 0.761334 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.6008 | 0.740885 | 0.370443 | − | 0.928855i | \(-0.379206\pi\) | ||||
0.370443 | + | 0.928855i | \(0.379206\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −23.5099 | −1.27688 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −12.1845 | −0.659830 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.528809 | −0.0285530 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −35.7681 | −1.92569 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −8.28506 | −0.444765 | −0.222383 | − | 0.974959i | \(-0.571383\pi\) | ||||
−0.222383 | + | 0.974959i | \(0.571383\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.9737 | −0.855055 | −0.427528 | − | 0.904002i | \(-0.640615\pi\) | ||||
−0.427528 | + | 0.904002i | \(0.640615\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 13.4131 | 0.715938 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 10.1717 | 0.541386 | 0.270693 | − | 0.962666i | \(-0.412747\pi\) | ||||
0.270693 | + | 0.962666i | \(0.412747\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 27.7017 | 1.47025 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.536725 | 0.0284065 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −9.17392 | −0.484181 | −0.242090 | − | 0.970254i | \(-0.577833\pi\) | ||||
−0.242090 | + | 0.970254i | \(0.577833\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 47.9322 | 2.52275 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −17.8028 | −0.934404 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 10.5887 | 0.554238 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.1462 | −0.947224 | −0.473612 | − | 0.880734i | \(-0.657050\pi\) | ||||
−0.473612 | + | 0.880734i | \(0.657050\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 81.1024 | 4.22202 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.491703 | −0.0255279 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −34.1562 | −1.76854 | −0.884271 | − | 0.466975i | \(-0.845344\pi\) | ||||
−0.884271 | + | 0.466975i | \(0.845344\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 29.5674 | 1.52685 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −1.00000 | −0.0515026 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.0710 | 1.03098 | 0.515489 | − | 0.856896i | \(-0.327610\pi\) | ||||
0.515489 | + | 0.856896i | \(0.327610\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −33.1117 | −1.69636 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −13.4374 | −0.686621 | −0.343310 | − | 0.939222i | \(-0.611548\pi\) | ||||
−0.343310 | + | 0.939222i | \(0.611548\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.312432 | −0.0159230 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 6.35787 | 0.323189 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −4.53820 | −0.230096 | −0.115048 | − | 0.993360i | \(-0.536702\pi\) | ||||
−0.115048 | + | 0.993360i | \(0.536702\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −14.0322 | −0.709641 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −46.2248 | −2.33173 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 37.0054 | 1.86194 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.09663 | −0.205604 | −0.102802 | − | 0.994702i | \(-0.532781\pi\) | ||||
−0.102802 | + | 0.994702i | \(0.532781\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.987028 | −0.0494132 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −29.7356 | −1.48493 | −0.742463 | − | 0.669888i | \(-0.766342\pi\) | ||||
−0.742463 | + | 0.669888i | \(0.766342\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.23096 | 0.260573 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 75.4100 | 3.74715 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −12.6472 | −0.626897 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 30.4427 | 1.50529 | 0.752646 | − | 0.658425i | \(-0.228777\pi\) | ||||
0.752646 | + | 0.658425i | \(0.228777\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 28.3666 | 1.39922 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.0473011 | 0.00232753 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 43.6493 | 2.14266 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −18.1342 | −0.888037 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 22.4296 | 1.09576 | 0.547878 | − | 0.836558i | \(-0.315436\pi\) | ||||
0.547878 | + | 0.836558i | \(0.315436\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.98970 | 0.0969720 | 0.0484860 | − | 0.998824i | \(-0.484560\pi\) | ||||
0.0484860 | + | 0.998824i | \(0.484560\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −43.8294 | −2.13106 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 33.8434 | 1.64165 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.272091 | 0.0131674 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −7.43916 | −0.359166 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.12747 | 0.0543085 | 0.0271543 | − | 0.999631i | \(-0.491355\pi\) | ||||
0.0271543 | + | 0.999631i | \(0.491355\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −14.0873 | −0.676992 | −0.338496 | − | 0.940968i | \(-0.609918\pi\) | ||||
−0.338496 | + | 0.940968i | \(0.609918\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −11.3399 | −0.543706 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 25.8051 | 1.23442 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.31341 | −0.110413 | −0.0552066 | − | 0.998475i | \(-0.517582\pi\) | ||||
−0.0552066 | + | 0.998475i | \(0.517582\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −50.3886 | −2.39946 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −17.3531 | −0.824471 | −0.412236 | − | 0.911077i | \(-0.635252\pi\) | ||||
−0.412236 | + | 0.911077i | \(0.635252\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −37.8310 | −1.79336 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1.41055 | −0.0667169 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.0151 | 0.991762 | 0.495881 | − | 0.868390i | \(-0.334845\pi\) | ||||
0.495881 | + | 0.868390i | \(0.334845\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −26.2385 | −1.23552 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −44.8094 | −2.10533 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.134131 | 0.00628814 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.10681 | 0.0985523 | 0.0492761 | − | 0.998785i | \(-0.484309\pi\) | ||||
0.0492761 | + | 0.998785i | \(0.484309\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 59.6718 | 2.78524 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −24.6745 | −1.14921 | −0.574603 | − | 0.818432i | \(-0.694844\pi\) | ||||
−0.574603 | + | 0.818432i | \(0.694844\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.79916 | −0.176562 | −0.0882811 | − | 0.996096i | \(-0.528137\pi\) | ||||
−0.0882811 | + | 0.996096i | \(0.528137\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 59.3186 | 2.75083 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 25.3345 | 1.17234 | 0.586170 | − | 0.810188i | \(-0.300635\pi\) | ||||
0.586170 | + | 0.810188i | \(0.300635\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.148252 | 0.00684564 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −60.2972 | −2.77835 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.05692 | −0.0945771 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −62.2375 | −2.85565 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −93.7152 | −4.29092 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −15.8039 | −0.722099 | −0.361049 | − | 0.932547i | \(-0.617581\pi\) | ||||
−0.361049 | + | 0.932547i | \(0.617581\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.42958 | 0.247567 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.380539 | −0.0173151 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −20.7018 | −0.940022 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.0835 | −0.728813 | −0.364406 | − | 0.931240i | \(-0.618728\pi\) | ||||
−0.364406 | + | 0.931240i | \(0.618728\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 54.1505 | 2.44877 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 15.9636 | 0.720426 | 0.360213 | − | 0.932870i | \(-0.382704\pi\) | ||||
0.360213 | + | 0.932870i | \(0.382704\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.44877 | −0.200362 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −59.5473 | −2.67645 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.294720 | 0.0132200 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 39.8110 | 1.78219 | 0.891093 | − | 0.453822i | \(-0.149940\pi\) | ||||
0.891093 | + | 0.453822i | \(0.149940\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.61793 | −0.116960 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 10.0790 | 0.449399 | 0.224700 | − | 0.974428i | \(-0.427860\pi\) | ||||
0.224700 | + | 0.974428i | \(0.427860\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 18.7215 | 0.833095 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.19372 | 0.141838 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −4.69097 | −0.207924 | −0.103962 | − | 0.994581i | \(-0.533152\pi\) | ||||
−0.103962 | + | 0.994581i | \(0.533152\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.112654 | 0.00498351 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −109.735 | −4.84493 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −35.1015 | −1.54676 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 14.1798 | 0.623627 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −9.07005 | −0.398131 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −8.16585 | −0.357752 | −0.178876 | − | 0.983872i | \(-0.557246\pi\) | ||||
−0.178876 | + | 0.983872i | \(0.557246\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.2444 | 0.841498 | 0.420749 | − | 0.907177i | \(-0.361767\pi\) | ||||
0.420749 | + | 0.907177i | \(0.361767\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.917797 | 0.0400560 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 23.2713 | 1.01372 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.0511 | −0.567440 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 9.01526 | 0.391229 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 11.2645 | 0.487919 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 52.2397 | 2.25852 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −43.5474 | −1.87921 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 16.3018 | 0.702170 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.03172 | 0.259324 | 0.129662 | − | 0.991558i | \(-0.458611\pi\) | ||||
0.129662 | + | 0.991558i | \(0.458611\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −47.4711 | −2.03718 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 19.5524 | 0.837532 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 33.1719 | 1.41833 | 0.709163 | − | 0.705045i | \(-0.249073\pi\) | ||||
0.709163 | + | 0.705045i | \(0.249073\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 51.8586 | 2.21327 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 8.18121 | 0.348531 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.393702 | 0.0167419 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 61.5708 | 2.61354 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 29.2337 | 1.23867 | 0.619335 | − | 0.785127i | \(-0.287402\pi\) | ||||
0.619335 | + | 0.785127i | \(0.287402\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.883058 | 0.0373494 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −33.0951 | −1.39728 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −19.8428 | −0.836273 | −0.418136 | − | 0.908384i | \(-0.637317\pi\) | ||||
−0.418136 | + | 0.908384i | \(0.637317\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −26.1377 | −1.09962 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.802291 | 0.0336931 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 8.96656 | 0.375898 | 0.187949 | − | 0.982179i | \(-0.439816\pi\) | ||||
0.187949 | + | 0.982179i | \(0.439816\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 36.8686 | 1.54290 | 0.771451 | − | 0.636288i | \(-0.219531\pi\) | ||||
0.771451 | + | 0.636288i | \(0.219531\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −37.3233 | −1.55920 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −23.9951 | −1.00066 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −42.5678 | −1.77212 | −0.886061 | − | 0.463569i | \(-0.846569\pi\) | ||||
−0.886061 | + | 0.463569i | \(0.846569\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 21.2952 | 0.885000 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.464387 | 0.0192660 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 30.3190 | 1.25568 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 25.5644 | 1.05696 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −28.1990 | −1.16390 | −0.581949 | − | 0.813225i | \(-0.697710\pi\) | ||||
−0.581949 | + | 0.813225i | \(0.697710\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −42.7956 | −1.76336 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 83.3736 | 3.42953 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 18.6955 | 0.767731 | 0.383866 | − | 0.923389i | \(-0.374593\pi\) | ||||
0.383866 | + | 0.923389i | \(0.374593\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.596716 | 0.0244630 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −67.1361 | −2.74770 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 35.5906 | 1.45419 | 0.727095 | − | 0.686537i | \(-0.240870\pi\) | ||||
0.727095 | + | 0.686537i | \(0.240870\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −36.8076 | −1.50142 | −0.750708 | − | 0.660635i | \(-0.770287\pi\) | ||||
−0.750708 | + | 0.660635i | \(0.770287\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 28.2558 | 1.15067 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −19.7926 | −0.804685 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.53839 | 0.184208 | 0.0921038 | − | 0.995749i | \(-0.470641\pi\) | ||||
0.0921038 | + | 0.995749i | \(0.470641\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.120646 | −0.00488881 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.08755 | −0.246276 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 26.6161 | 1.07502 | 0.537508 | − | 0.843259i | \(-0.319366\pi\) | ||||
0.537508 | + | 0.843259i | \(0.319366\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 127.738 | 5.15089 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 13.0087 | 0.523710 | 0.261855 | − | 0.965107i | \(-0.415666\pi\) | ||||
0.261855 | + | 0.965107i | \(0.415666\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −29.2205 | −1.17447 | −0.587235 | − | 0.809416i | \(-0.699784\pi\) | ||||
−0.587235 | + | 0.809416i | \(0.699784\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −42.3074 | −1.69774 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.402486 | −0.0161253 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.16472 | −0.206589 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 60.8613 | 2.43057 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 24.1549 | 0.963120 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −44.0809 | −1.75483 | −0.877417 | − | 0.479728i | \(-0.840735\pi\) | ||||
−0.877417 | + | 0.479728i | \(0.840735\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −62.3002 | −2.47621 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −36.8127 | −1.46087 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.99857 | −0.277294 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 56.1716 | 2.22211 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 45.9291 | 1.81409 | 0.907045 | − | 0.421034i | \(-0.138333\pi\) | ||||
0.907045 | + | 0.421034i | \(0.138333\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −8.53698 | −0.336665 | −0.168333 | − | 0.985730i | \(-0.553838\pi\) | ||||
−0.168333 | + | 0.985730i | \(0.553838\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 10.0138 | 0.394292 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 35.1361 | 1.38134 | 0.690671 | − | 0.723169i | \(-0.257315\pi\) | ||||
0.690671 | + | 0.723169i | \(0.257315\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.91664 | −0.114488 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.631093 | 0.0247345 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 26.4848 | 1.03643 | 0.518215 | − | 0.855250i | \(-0.326597\pi\) | ||||
0.518215 | + | 0.855250i | \(0.326597\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −51.3914 | −2.00803 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 21.4710 | 0.837665 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −28.1495 | −1.09655 | −0.548273 | − | 0.836299i | \(-0.684715\pi\) | ||||
−0.548273 | + | 0.836299i | \(0.684715\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 33.8455 | 1.31644 | 0.658219 | − | 0.752827i | \(-0.271310\pi\) | ||||
0.658219 | + | 0.752827i | \(0.271310\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 14.2081 | 0.551797 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.09735 | −0.0425534 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.15419 | 0.122131 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 34.5761 | 1.33679 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −16.7774 | −0.647686 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −33.2218 | −1.28061 | −0.640303 | − | 0.768122i | \(-0.721191\pi\) | ||||
−0.640303 | + | 0.768122i | \(0.721191\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 102.038 | 3.92746 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 30.2700 | 1.16337 | 0.581684 | − | 0.813415i | \(-0.302394\pi\) | ||||
0.581684 | + | 0.813415i | \(0.302394\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.220248 | −0.00845235 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 46.1349 | 1.76789 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −13.9658 | −0.534385 | −0.267193 | − | 0.963643i | \(-0.586096\pi\) | ||||
−0.267193 | + | 0.963643i | \(0.586096\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 31.5371 | 1.20497 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2.19508 | −0.0837475 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −13.0163 | −0.495881 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 43.7373 | 1.66385 | 0.831923 | − | 0.554892i | \(-0.187240\pi\) | ||||
0.831923 | + | 0.554892i | \(0.187240\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.633528 | −0.0240657 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −20.1611 | −0.764756 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 50.1130 | 1.89817 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −68.8480 | −2.60407 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 14.8874 | 0.562289 | 0.281144 | − | 0.959665i | \(-0.409286\pi\) | ||||
0.281144 | + | 0.959665i | \(0.409286\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −44.4205 | −1.67535 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −69.0322 | −2.59990 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.199179 | 0.00749089 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.664272 | −0.0249473 | −0.0124736 | − | 0.999922i | \(-0.503971\pi\) | ||||
−0.0124736 | + | 0.999922i | \(0.503971\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 75.0369 | 2.81410 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −16.4994 | −0.617908 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.27065 | −0.309305 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −93.9790 | −3.50971 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −37.7597 | −1.40820 | −0.704099 | − | 0.710102i | \(-0.748649\pi\) | ||||
−0.704099 | + | 0.710102i | \(0.748649\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.373446 | −0.0139079 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 87.9913 | 3.27243 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −7.60738 | −0.282531 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.6139 | 1.20958 | 0.604791 | − | 0.796384i | \(-0.293257\pi\) | ||||
0.604791 | + | 0.796384i | \(0.293257\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 24.3982 | 0.903638 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.92852 | 0.145302 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.991578 | 0.0366248 | 0.0183124 | − | 0.999832i | \(-0.494171\pi\) | ||||
0.0183124 | + | 0.999832i | \(0.494171\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −79.3631 | −2.92735 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −9.14139 | −0.336728 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 50.8377 | 1.87010 | 0.935048 | − | 0.354521i | \(-0.115356\pi\) | ||||
0.935048 | + | 0.354521i | \(0.115356\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −26.1285 | −0.959854 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −3.88320 | −0.142461 | −0.0712304 | − | 0.997460i | \(-0.522693\pi\) | ||||
−0.0712304 | + | 0.997460i | \(0.522693\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.56821 | −0.0574549 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 88.5090 | 3.23837 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.555781 | 0.0203078 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.720099 | −0.0262768 | −0.0131384 | − | 0.999914i | \(-0.504182\pi\) | ||||
−0.0131384 | + | 0.999914i | \(0.504182\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 88.1333 | 3.21176 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −49.8178 | −1.81306 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 27.5474 | 1.00123 | 0.500614 | − | 0.865671i | \(-0.333108\pi\) | ||||
0.500614 | + | 0.865671i | \(0.333108\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 23.4645 | 0.851707 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 20.2479 | 0.733987 | 0.366993 | − | 0.930224i | \(-0.380387\pi\) | ||||
0.366993 | + | 0.930224i | \(0.380387\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.208019 | 0.00753078 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 113.730 | 4.11191 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.25215 | 0.0452124 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.5959 | −0.814830 | −0.407415 | − | 0.913243i | \(-0.633570\pi\) | ||||
−0.407415 | + | 0.913243i | \(0.633570\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.3987 | 0.374499 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −16.3845 | −0.589308 | −0.294654 | − | 0.955604i | \(-0.595204\pi\) | ||||
−0.294654 | + | 0.955604i | \(0.595204\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 39.7939 | 1.42944 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.655055 | 0.0235000 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −92.1570 | −3.30187 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.1728 | −0.650273 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −13.4131 | −0.479345 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −67.0368 | −2.39265 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.18929 | 0.0423935 | 0.0211967 | − | 0.999775i | \(-0.493252\pi\) | ||||
0.0211967 | + | 0.999775i | \(0.493252\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −3.40325 | −0.121159 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.278080 | −0.00988739 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.20275 | 0.255777 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −147.603 | −5.23495 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −22.7655 | −0.806396 | −0.403198 | − | 0.915113i | \(-0.632101\pi\) | ||||
−0.403198 | + | 0.915113i | \(0.632101\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −27.0821 | −0.958096 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −76.7111 | −2.71045 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −6.94636 | −0.245132 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.423073 | −0.0149114 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −22.8608 | −0.804737 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 28.1972 | 0.991362 | 0.495681 | − | 0.868505i | \(-0.334919\pi\) | ||||
0.495681 | + | 0.868505i | \(0.334919\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 19.9733 | 0.701358 | 0.350679 | − | 0.936496i | \(-0.385951\pi\) | ||||
0.350679 | + | 0.936496i | \(0.385951\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −46.1707 | −1.61928 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 60.2030 | 2.10882 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.22448 | −0.252753 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.271981 | 0.00950378 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 40.7669 | 1.42277 | 0.711387 | − | 0.702801i | \(-0.248067\pi\) | ||||
0.711387 | + | 0.702801i | \(0.248067\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.5525 | −0.576983 | −0.288491 | − | 0.957483i | \(-0.593154\pi\) | ||||
−0.288491 | + | 0.957483i | \(0.593154\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −56.5925 | −1.97030 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −20.0657 | −0.697754 | −0.348877 | − | 0.937169i | \(-0.613437\pi\) | ||||
−0.348877 | + | 0.937169i | \(0.613437\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.0835 | −0.350213 | −0.175107 | − | 0.984549i | \(-0.556027\pi\) | ||||
−0.175107 | + | 0.984549i | \(0.556027\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −20.6070 | −0.714850 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −31.1350 | −1.07876 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.91054 | −0.100723 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 70.1634 | 2.42520 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 40.3002 | 1.39132 | 0.695658 | − | 0.718373i | \(-0.255113\pi\) | ||||
0.695658 | + | 0.718373i | \(0.255113\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.00000 | 0.0344828 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −26.1807 | −0.901711 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 3.55069 | 0.122147 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.210575 | −0.00723544 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 64.1036 | 2.20003 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −17.1259 | −0.587068 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −29.8835 | −1.02319 | −0.511596 | − | 0.859226i | \(-0.670946\pi\) | ||||
−0.511596 | + | 0.859226i | \(0.670946\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −209.147 | −7.15269 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 46.0659 | 1.57358 | 0.786790 | − | 0.617221i | \(-0.211742\pi\) | ||||
0.786790 | + | 0.617221i | \(0.211742\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.0535 | −0.479498 | −0.239749 | − | 0.970835i | \(-0.577065\pi\) | ||||
−0.239749 | + | 0.970835i | \(0.577065\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.35901 | 0.0463150 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 17.2251 | 0.586348 | 0.293174 | − | 0.956059i | \(-0.405288\pi\) | ||||
0.293174 | + | 0.956059i | \(0.405288\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −10.0838 | −0.342860 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 8.91538 | 0.302782 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −24.2761 | −0.823512 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.92451 | 0.132977 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −41.9778 | −1.42073 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.349729 | 0.0118230 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 46.9006 | 1.58372 | 0.791860 | − | 0.610702i | \(-0.209113\pi\) | ||||
0.791860 | + | 0.610702i | \(0.209113\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −106.085 | −3.57815 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.7545 | −0.396020 | −0.198010 | − | 0.980200i | \(-0.563448\pi\) | ||||
−0.198010 | + | 0.980200i | \(0.563448\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.04628 | 0.203473 | 0.101737 | − | 0.994811i | \(-0.467560\pi\) | ||||
0.101737 | + | 0.994811i | \(0.467560\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 14.1992 | 0.477302 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −21.6994 | −0.728596 | −0.364298 | − | 0.931282i | \(-0.618691\pi\) | ||||
−0.364298 | + | 0.931282i | \(0.618691\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.391652 | −0.0131356 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −49.4702 | −1.65732 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 49.8035 | 1.66661 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −48.4148 | −1.61833 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −10.0736 | −0.336347 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −5.23096 | −0.174462 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −57.9065 | −1.92914 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.106537 | 0.00354533 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −52.7770 | −1.75437 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 30.8716 | 1.02507 | 0.512537 | − | 0.858665i | \(-0.328706\pi\) | ||||
0.512537 | + | 0.858665i | \(0.328706\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 37.9621 | 1.25912 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 4.91820 | 0.162947 | 0.0814735 | − | 0.996676i | \(-0.474037\pi\) | ||||
0.0814735 | + | 0.996676i | \(0.474037\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −28.6347 | −0.947669 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 81.6784 | 2.70020 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −0.546756 | −0.0180555 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 23.0447 | 0.760174 | 0.380087 | − | 0.924951i | \(-0.375894\pi\) | ||||
0.380087 | + | 0.924951i | \(0.375894\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −70.4008 | −2.31979 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 7.80178 | 0.256799 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 41.3048 | 1.35809 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −71.1763 | −2.33774 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 40.2144 | 1.31939 | 0.659695 | − | 0.751533i | \(-0.270685\pi\) | ||||
0.659695 | + | 0.751533i | \(0.270685\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 57.2568 | 1.87652 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 46.1395 | 1.51054 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −36.7942 | −1.20330 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 44.9954 | 1.46994 | 0.734968 | − | 0.678102i | \(-0.237197\pi\) | ||||
0.734968 | + | 0.678102i | \(0.237197\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −77.8711 | −2.54123 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 19.8523 | 0.647167 | 0.323583 | − | 0.946200i | \(-0.395112\pi\) | ||||
0.323583 | + | 0.946200i | \(0.395112\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −35.5303 | −1.15702 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.79911 | 0.0585249 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −6.17415 | −0.200633 | −0.100317 | − | 0.994956i | \(-0.531986\pi\) | ||||
−0.100317 | + | 0.994956i | \(0.531986\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.98215 | 0.0968048 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −61.4734 | −1.99341 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −4.21645 | −0.136584 | −0.0682921 | − | 0.997665i | \(-0.521755\pi\) | ||||
−0.0682921 | + | 0.997665i | \(0.521755\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −41.4950 | −1.34275 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 7.43916 | 0.240474 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0.335525 | 0.0108347 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.63703 | −0.117324 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 105.928 | 3.41349 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 23.6755 | 0.762140 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 20.2560 | 0.651388 | 0.325694 | − | 0.945475i | \(-0.394402\pi\) | ||||
0.325694 | + | 0.945475i | \(0.394402\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −116.240 | −3.73415 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −2.12516 | −0.0681995 | −0.0340998 | − | 0.999418i | \(-0.510856\pi\) | ||||
−0.0340998 | + | 0.999418i | \(0.510856\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.214495 | −0.00687641 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 24.2958 | 0.778089 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 16.0751 | 0.514289 | 0.257144 | − | 0.966373i | \(-0.417218\pi\) | ||||
0.257144 | + | 0.966373i | \(0.417218\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 24.8178 | 0.793179 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 39.6469 | 1.26583 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −18.6455 | −0.594700 | −0.297350 | − | 0.954769i | \(-0.596103\pi\) | ||||
−0.297350 | + | 0.954769i | \(0.596103\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 92.6924 | 2.95343 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.734437 | −0.0233774 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.78533 | −0.0885683 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 58.3484 | 1.85350 | 0.926748 | − | 0.375683i | \(-0.122592\pi\) | ||||
0.926748 | + | 0.375683i | \(0.122592\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −80.9694 | −2.56949 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −74.6400 | −2.36625 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 43.5110 | 1.37801 | 0.689003 | − | 0.724758i | \(-0.258049\pi\) | ||||
0.689003 | + | 0.724758i | \(0.258049\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 72.8274 | 2.30416 |
(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 | 6032.2.a.ba.1.10 | 10 | ||
4.3 | odd | 2 | 3016.2.a.g.1.1 | ✓ | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
3016.2.a.g.1.1 | ✓ | 10 | 4.3 | odd | 2 | ||
6032.2.a.ba.1.10 | 10 | 1.1 | even | 1 | trivial |