Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [4016,2,Mod(1,4016)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(4016, 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("4016.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 4016 = 2^{4} \cdot 251 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4016.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: | \(32.0679214517\) |
Analytic rank: | \(0\) |
Dimension: | \(23\) |
Twist minimal: | no (minimal twist has level 2008) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.13 | ||
Character | \(\chi\) | \(=\) | 4016.1 |
$q$-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 | ||||||||
\(3\) | 0.201914 | 0.116575 | 0.0582875 | − | 0.998300i | \(-0.481436\pi\) | ||||
0.0582875 | + | 0.998300i | \(0.481436\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.79819 | −0.804176 | −0.402088 | − | 0.915601i | \(-0.631715\pi\) | ||||
−0.402088 | + | 0.915601i | \(0.631715\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.34181 | −1.26309 | −0.631543 | − | 0.775341i | \(-0.717578\pi\) | ||||
−0.631543 | + | 0.775341i | \(0.717578\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.95923 | −0.986410 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.67355 | 1.71064 | 0.855319 | − | 0.518102i | \(-0.173361\pi\) | ||||
0.855319 | + | 0.518102i | \(0.173361\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.71810 | −1.03122 | −0.515608 | − | 0.856825i | \(-0.672434\pi\) | ||||
−0.515608 | + | 0.856825i | \(0.672434\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.363080 | −0.0937469 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.29744 | 0.799746 | 0.399873 | − | 0.916570i | \(-0.369054\pi\) | ||||
0.399873 | + | 0.916570i | \(0.369054\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.297273 | 0.0681991 | 0.0340996 | − | 0.999418i | \(-0.489144\pi\) | ||||
0.0340996 | + | 0.999418i | \(0.489144\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.674758 | −0.147244 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −8.29149 | −1.72890 | −0.864448 | − | 0.502723i | \(-0.832332\pi\) | ||||
−0.864448 | + | 0.502723i | \(0.832332\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.76650 | −0.353300 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.20325 | −0.231566 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.61220 | 1.41355 | 0.706775 | − | 0.707438i | \(-0.250149\pi\) | ||||
0.706775 | + | 0.707438i | \(0.250149\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.30347 | −1.31174 | −0.655871 | − | 0.754873i | \(-0.727698\pi\) | ||||
−0.655871 | + | 0.754873i | \(0.727698\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.14557 | 0.199418 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 6.00922 | 1.01574 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.21090 | −0.856666 | −0.428333 | − | 0.903621i | \(-0.640899\pi\) | ||||
−0.428333 | + | 0.903621i | \(0.640899\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.750736 | −0.120214 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.48959 | 1.16968 | 0.584838 | − | 0.811150i | \(-0.301158\pi\) | ||||
0.584838 | + | 0.811150i | \(0.301158\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.751052 | 0.114534 | 0.0572672 | − | 0.998359i | \(-0.481761\pi\) | ||||
0.0572672 | + | 0.998359i | \(0.481761\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.32127 | 0.793248 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −7.73856 | −1.12879 | −0.564393 | − | 0.825506i | \(-0.690890\pi\) | ||||
−0.564393 | + | 0.825506i | \(0.690890\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.16770 | 0.595385 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.665799 | 0.0932305 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 8.79352 | 1.20788 | 0.603941 | − | 0.797029i | \(-0.293596\pi\) | ||||
0.603941 | + | 0.797029i | \(0.293596\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −10.2021 | −1.37565 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.0600236 | 0.00795032 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 11.6953 | 1.52259 | 0.761297 | − | 0.648403i | \(-0.224563\pi\) | ||||
0.761297 | + | 0.648403i | \(0.224563\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.46801 | 0.444033 | 0.222016 | − | 0.975043i | \(-0.428736\pi\) | ||||
0.222016 | + | 0.975043i | \(0.428736\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 9.88919 | 1.24592 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 6.68586 | 0.829279 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −14.0862 | −1.72090 | −0.860452 | − | 0.509532i | \(-0.829819\pi\) | ||||
−0.860452 | + | 0.509532i | \(0.829819\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.67417 | −0.201546 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.05938 | 0.125726 | 0.0628629 | − | 0.998022i | \(-0.479977\pi\) | ||||
0.0628629 | + | 0.998022i | \(0.479977\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −13.8342 | −1.61917 | −0.809587 | − | 0.587000i | \(-0.800309\pi\) | ||||
−0.809587 | + | 0.587000i | \(0.800309\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.356681 | −0.0411860 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −18.9599 | −2.16068 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.746282 | 0.0839633 | 0.0419816 | − | 0.999118i | \(-0.486633\pi\) | ||||
0.0419816 | + | 0.999118i | \(0.486633\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.63474 | 0.959415 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.81989 | 0.309523 | 0.154761 | − | 0.987952i | \(-0.450539\pi\) | ||||
0.154761 | + | 0.987952i | \(0.450539\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.92943 | −0.643137 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.53701 | 0.164785 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 11.6951 | 1.23968 | 0.619838 | − | 0.784730i | \(-0.287198\pi\) | ||||
0.619838 | + | 0.784730i | \(0.287198\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 12.4252 | 1.30251 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.47467 | −0.152916 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.534554 | −0.0548441 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.20944 | 0.427404 | 0.213702 | − | 0.976899i | \(-0.431448\pi\) | ||||
0.213702 | + | 0.976899i | \(0.431448\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −16.7893 | −1.68739 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.63117 | 0.560323 | 0.280161 | − | 0.959953i | \(-0.409612\pi\) | ||||
0.280161 | + | 0.959953i | \(0.409612\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 19.3367 | 1.90531 | 0.952653 | − | 0.304060i | \(-0.0983425\pi\) | ||||
0.952653 | + | 0.304060i | \(0.0983425\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.21335 | 0.118410 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.533744 | −0.0515990 | −0.0257995 | − | 0.999667i | \(-0.508213\pi\) | ||||
−0.0257995 | + | 0.999667i | \(0.508213\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.151594 | −0.0145200 | −0.00726001 | − | 0.999974i | \(-0.502311\pi\) | ||||
−0.00726001 | + | 0.999974i | \(0.502311\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.05215 | −0.0998659 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 18.6063 | 1.75033 | 0.875164 | − | 0.483825i | \(-0.160753\pi\) | ||||
0.875164 | + | 0.483825i | \(0.160753\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 14.9097 | 1.39034 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 11.0027 | 1.01720 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −11.0194 | −1.01015 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 21.1891 | 1.92628 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.51225 | 0.136355 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 12.1675 | 1.08829 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.9350 | 0.970328 | 0.485164 | − | 0.874423i | \(-0.338760\pi\) | ||||
0.485164 | + | 0.874423i | \(0.338760\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.151648 | 0.0133518 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.51858 | −0.744272 | −0.372136 | − | 0.928178i | \(-0.621374\pi\) | ||||
−0.372136 | + | 0.928178i | \(0.621374\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.993430 | −0.0861413 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.16368 | 0.186220 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2.57273 | 0.219804 | 0.109902 | − | 0.993942i | \(-0.464946\pi\) | ||||
0.109902 | + | 0.993942i | \(0.464946\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.48109 | 0.125624 | 0.0628120 | − | 0.998025i | \(-0.479993\pi\) | ||||
0.0628120 | + | 0.998025i | \(0.479993\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.56252 | −0.131588 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −21.0948 | −1.76404 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.6882 | −1.13674 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.841516 | 0.0694071 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 18.8091 | 1.54090 | 0.770450 | − | 0.637500i | \(-0.220031\pi\) | ||||
0.770450 | + | 0.637500i | \(0.220031\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.1457 | 0.988407 | 0.494203 | − | 0.869346i | \(-0.335460\pi\) | ||||
0.494203 | + | 0.869346i | \(0.335460\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −9.75788 | −0.788878 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 13.1330 | 1.05487 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.19537 | 0.494444 | 0.247222 | − | 0.968959i | \(-0.420482\pi\) | ||||
0.247222 | + | 0.968959i | \(0.420482\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.77553 | 0.140809 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 27.7086 | 2.18374 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.57212 | −0.593094 | −0.296547 | − | 0.955018i | \(-0.595835\pi\) | ||||
−0.296547 | + | 0.955018i | \(0.595835\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.05995 | −0.160367 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −9.61169 | −0.743775 | −0.371888 | − | 0.928278i | \(-0.621289\pi\) | ||||
−0.371888 | + | 0.928278i | \(0.621289\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.824263 | 0.0634049 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.879700 | −0.0672723 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 6.48244 | 0.492851 | 0.246426 | − | 0.969162i | \(-0.420744\pi\) | ||||
0.246426 | + | 0.969162i | \(0.420744\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.90331 | 0.446249 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 2.36144 | 0.177496 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 20.9179 | 1.56348 | 0.781740 | − | 0.623605i | \(-0.214333\pi\) | ||||
0.781740 | + | 0.623605i | \(0.214333\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.2301 | 1.05771 | 0.528857 | − | 0.848711i | \(-0.322621\pi\) | ||||
0.528857 | + | 0.848711i | \(0.322621\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.700239 | 0.0517632 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 9.37020 | 0.688911 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 18.7082 | 1.36808 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.02104 | 0.292488 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −9.18371 | −0.664510 | −0.332255 | − | 0.943190i | \(-0.607809\pi\) | ||||
−0.332255 | + | 0.943190i | \(0.607809\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.62839 | −0.189195 | −0.0945977 | − | 0.995516i | \(-0.530156\pi\) | ||||
−0.0945977 | + | 0.995516i | \(0.530156\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.34997 | 0.0966732 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.75695 | −0.125178 | −0.0625889 | − | 0.998039i | \(-0.519936\pi\) | ||||
−0.0625889 | + | 0.998039i | \(0.519936\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −17.2691 | −1.22417 | −0.612087 | − | 0.790790i | \(-0.709670\pi\) | ||||
−0.612087 | + | 0.790790i | \(0.709670\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.84420 | −0.200614 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −25.4385 | −1.78544 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13.4677 | −0.940627 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 24.5364 | 1.70540 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.68659 | 0.116664 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.0218577 | −0.00150475 | −0.000752373 | − | 1.00000i | \(-0.500239\pi\) | ||||
−0.000752373 | 1.00000i | \(0.500239\pi\) | ||||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.213904 | 0.0146565 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.35054 | −0.0921058 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 24.4068 | 1.65684 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.79332 | −0.188755 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.2602 | −0.824711 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.3927 | 0.896842 | 0.448421 | − | 0.893823i | \(-0.351987\pi\) | ||||
0.448421 | + | 0.893823i | \(0.351987\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.22749 | 0.348499 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −17.8476 | −1.18459 | −0.592294 | − | 0.805722i | \(-0.701778\pi\) | ||||
−0.592294 | + | 0.805722i | \(0.701778\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.13644 | 0.339426 | 0.169713 | − | 0.985494i | \(-0.445716\pi\) | ||||
0.169713 | + | 0.985494i | \(0.445716\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.82827 | −0.251882 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −25.5471 | −1.67365 | −0.836823 | − | 0.547474i | \(-0.815590\pi\) | ||||
−0.836823 | + | 0.547474i | \(0.815590\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 13.9154 | 0.907743 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.150685 | 0.00978802 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 21.8897 | 1.41593 | 0.707964 | − | 0.706249i | \(-0.249614\pi\) | ||||
0.707964 | + | 0.706249i | \(0.249614\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.8301 | 1.14854 | 0.574269 | − | 0.818667i | \(-0.305286\pi\) | ||||
0.574269 | + | 0.818667i | \(0.305286\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 5.35323 | 0.343410 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −7.49433 | −0.478795 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.10529 | −0.0703280 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.569374 | 0.0360826 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.00000 | 0.0631194 | ||||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −47.0422 | −2.95751 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.19723 | −0.0749737 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −23.4810 | −1.46471 | −0.732353 | − | 0.680925i | \(-0.761578\pi\) | ||||
−0.732353 | + | 0.680925i | \(0.761578\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 17.4138 | 1.08204 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −22.5263 | −1.39434 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 26.9639 | 1.66267 | 0.831333 | − | 0.555775i | \(-0.187578\pi\) | ||||
0.831333 | + | 0.555775i | \(0.187578\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −15.8124 | −0.971351 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.36140 | 0.144515 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 12.5841 | 0.767264 | 0.383632 | − | 0.923486i | \(-0.374673\pi\) | ||||
0.383632 | + | 0.923486i | \(0.374673\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −23.7129 | −1.44046 | −0.720228 | − | 0.693737i | \(-0.755963\pi\) | ||||
−0.720228 | + | 0.693737i | \(0.755963\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.50882 | 0.151841 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −10.0223 | −0.604369 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −23.1666 | −1.39194 | −0.695972 | − | 0.718069i | \(-0.745026\pi\) | ||||
−0.695972 | + | 0.718069i | \(0.745026\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 21.6126 | 1.29392 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.1605 | −0.665780 | −0.332890 | − | 0.942966i | \(-0.608024\pi\) | ||||
−0.332890 | + | 0.942966i | \(0.608024\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.6610 | 0.812064 | 0.406032 | − | 0.913859i | \(-0.366912\pi\) | ||||
0.406032 | + | 0.913859i | \(0.366912\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.107934 | −0.00639346 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −25.0288 | −1.47740 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.12690 | −0.360406 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.849944 | 0.0498246 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −6.77614 | −0.395866 | −0.197933 | − | 0.980216i | \(-0.563423\pi\) | ||||
−0.197933 | + | 0.980216i | \(0.563423\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −21.0303 | −1.22443 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −6.82670 | −0.396125 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 30.8286 | 1.78286 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.50987 | −0.144667 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1.13701 | 0.0653196 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.23615 | −0.357081 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −27.0975 | −1.54653 | −0.773267 | − | 0.634081i | \(-0.781379\pi\) | ||||
−0.773267 | + | 0.634081i | \(0.781379\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.90436 | 0.222111 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.85540 | 0.105210 | 0.0526051 | − | 0.998615i | \(-0.483248\pi\) | ||||
0.0526051 | + | 0.998615i | \(0.483248\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.494028 | 0.0279241 | 0.0139621 | − | 0.999903i | \(-0.495556\pi\) | ||||
0.0139621 | + | 0.999903i | \(0.495556\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −17.7827 | −1.00194 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 22.0357 | 1.23765 | 0.618824 | − | 0.785530i | \(-0.287610\pi\) | ||||
0.618824 | + | 0.785530i | \(0.287610\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 43.1882 | 2.41807 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.107770 | −0.00601515 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.980240 | 0.0545420 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.56803 | 0.364329 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.0306088 | −0.00169267 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 25.8608 | 1.42575 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −34.2083 | −1.88026 | −0.940129 | − | 0.340819i | \(-0.889296\pi\) | ||||
−0.940129 | + | 0.340819i | \(0.889296\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 15.4202 | 0.845024 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 25.3297 | 1.38391 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 20.0437 | 1.09185 | 0.545925 | − | 0.837834i | \(-0.316178\pi\) | ||||
0.545925 | + | 0.837834i | \(0.316178\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.75686 | 0.204045 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −41.4365 | −2.24391 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.46502 | 0.511063 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 3.01048 | 0.162079 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 12.0886 | 0.648948 | 0.324474 | − | 0.945895i | \(-0.394813\pi\) | ||||
0.324474 | + | 0.945895i | \(0.394813\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.53974 | −0.510650 | −0.255325 | − | 0.966855i | \(-0.582183\pi\) | ||||
−0.255325 | + | 0.966855i | \(0.582183\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.47381 | 0.238794 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 32.6432 | 1.73742 | 0.868712 | − | 0.495317i | \(-0.164948\pi\) | ||||
0.868712 | + | 0.495317i | \(0.164948\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.90498 | −0.101106 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −2.22497 | −0.117758 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −15.4908 | −0.817574 | −0.408787 | − | 0.912630i | \(-0.634048\pi\) | ||||
−0.408787 | + | 0.912630i | \(0.634048\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.9116 | −0.995349 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.27838 | 0.224557 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 24.8766 | 1.30210 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.91353 | 0.308684 | 0.154342 | − | 0.988018i | \(-0.450674\pi\) | ||||
0.154342 | + | 0.988018i | \(0.450674\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −22.1634 | −1.15378 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −29.3863 | −1.52566 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −18.5340 | −0.959652 | −0.479826 | − | 0.877364i | \(-0.659300\pi\) | ||||
−0.479826 | + | 0.877364i | \(0.659300\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.45678 | 0.126868 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −28.3029 | −1.45768 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.6334 | −0.648933 | −0.324467 | − | 0.945897i | \(-0.605185\pi\) | ||||
−0.324467 | + | 0.945897i | \(0.605185\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.20794 | 0.113116 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 19.7360 | 1.00846 | 0.504231 | − | 0.863569i | \(-0.331776\pi\) | ||||
0.504231 | + | 0.863569i | \(0.331776\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 34.0936 | 1.73757 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.22254 | −0.112978 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 29.9438 | 1.51821 | 0.759106 | − | 0.650967i | \(-0.225637\pi\) | ||||
0.759106 | + | 0.650967i | \(0.225637\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −27.3407 | −1.38268 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.72002 | −0.0867635 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.34196 | −0.0675213 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.08019 | 0.455721 | 0.227861 | − | 0.973694i | \(-0.426827\pi\) | ||||
0.227861 | + | 0.973694i | \(0.426827\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.200587 | −0.0100419 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.18938 | −0.259145 | −0.129573 | − | 0.991570i | \(-0.541361\pi\) | ||||
−0.129573 | + | 0.991570i | \(0.541361\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 27.1550 | 1.35269 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −15.5269 | −0.771539 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −29.5643 | −1.46545 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −16.7709 | −0.829269 | −0.414634 | − | 0.909988i | \(-0.636091\pi\) | ||||
−0.414634 | + | 0.909988i | \(0.636091\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.519471 | 0.0256236 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −39.0834 | −1.92317 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.07070 | −0.248911 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.299052 | 0.0146446 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −35.9968 | −1.75856 | −0.879279 | − | 0.476307i | \(-0.841975\pi\) | ||||
−0.879279 | + | 0.476307i | \(0.841975\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.6445 | 0.616256 | 0.308128 | − | 0.951345i | \(-0.400298\pi\) | ||||
0.308128 | + | 0.951345i | \(0.400298\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 22.9002 | 1.11345 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −5.82493 | −0.282551 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −11.5894 | −0.560852 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −4.25933 | −0.205643 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 8.66730 | 0.417489 | 0.208744 | − | 0.977970i | \(-0.433062\pi\) | ||||
0.208744 | + | 0.977970i | \(0.433062\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.3222 | 0.592168 | 0.296084 | − | 0.955162i | \(-0.404319\pi\) | ||||
0.296084 | + | 0.955162i | \(0.404319\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.76384 | −0.132516 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −2.46484 | −0.117909 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6.56535 | −0.313347 | −0.156674 | − | 0.987650i | \(-0.550077\pi\) | ||||
−0.156674 | + | 0.987650i | \(0.550077\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −12.3332 | −0.587294 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −7.06939 | −0.335877 | −0.167938 | − | 0.985797i | \(-0.553711\pi\) | ||||
−0.167938 | + | 0.985797i | \(0.553711\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −21.0300 | −0.996918 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 3.79782 | 0.179631 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 17.0058 | 0.802554 | 0.401277 | − | 0.915957i | \(-0.368566\pi\) | ||||
0.401277 | + | 0.915957i | \(0.368566\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 42.4925 | 2.00089 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.45239 | 0.115224 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −22.3429 | −1.04745 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 30.9648 | 1.44847 | 0.724237 | − | 0.689551i | \(-0.242192\pi\) | ||||
0.724237 | + | 0.689551i | \(0.242192\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.96765 | −0.185194 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −15.9416 | −0.742473 | −0.371237 | − | 0.928538i | \(-0.621066\pi\) | ||||
−0.371237 | + | 0.928538i | \(0.621066\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.7896 | 0.873227 | 0.436613 | − | 0.899649i | \(-0.356178\pi\) | ||||
0.436613 | + | 0.899649i | \(0.356178\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 2.65174 | 0.122972 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 33.5619 | 1.55306 | 0.776531 | − | 0.630079i | \(-0.216978\pi\) | ||||
0.776531 | + | 0.630079i | \(0.216978\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 47.0734 | 2.17365 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.25093 | 0.0576399 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 4.26113 | 0.195927 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.525133 | −0.0240948 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −26.0221 | −1.19147 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −2.55330 | −0.116663 | −0.0583316 | − | 0.998297i | \(-0.518578\pi\) | ||||
−0.0583316 | + | 0.998297i | \(0.518578\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 19.3746 | 0.883407 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 5.59475 | 0.254570 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.56938 | −0.343708 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.10886 | −0.140876 | −0.0704380 | − | 0.997516i | \(-0.522440\pi\) | ||||
−0.0704380 | + | 0.997516i | \(0.522440\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.52892 | −0.0691399 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 17.6594 | 0.796956 | 0.398478 | − | 0.917178i | \(-0.369539\pi\) | ||||
0.398478 | + | 0.917178i | \(0.369539\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 25.1008 | 1.13048 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 30.1905 | 1.35696 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.54026 | −0.158802 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.2196 | −0.860388 | −0.430194 | − | 0.902736i | \(-0.641555\pi\) | ||||
−0.430194 | + | 0.902736i | \(0.641555\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.94073 | −0.0867056 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0.483311 | 0.0215498 | 0.0107749 | − | 0.999942i | \(-0.496570\pi\) | ||||
0.0107749 | + | 0.999942i | \(0.496570\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.1259 | −0.450598 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.166430 | 0.00739143 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −36.2312 | −1.60592 | −0.802961 | − | 0.596032i | \(-0.796743\pi\) | ||||
−0.802961 | + | 0.596032i | \(0.796743\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 46.2314 | 2.04515 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.357694 | −0.0157926 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −34.7712 | −1.53220 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −43.9051 | −1.93094 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.30890 | 0.0574541 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −11.2503 | −0.492882 | −0.246441 | − | 0.969158i | \(-0.579261\pi\) | ||||
−0.246441 | + | 0.969158i | \(0.579261\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.69662 | −0.117915 | −0.0589574 | − | 0.998261i | \(-0.518778\pi\) | ||||
−0.0589574 | + | 0.998261i | \(0.518778\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.19196 | 0.0520214 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −24.0827 | −1.04906 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 45.7488 | 1.98908 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −34.6090 | −1.50190 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −27.8470 | −1.20619 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.959775 | 0.0414947 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 4.22362 | 0.182263 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 23.6456 | 1.01849 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.54198 | 0.195275 | 0.0976375 | − | 0.995222i | \(-0.468871\pi\) | ||||
0.0976375 | + | 0.995222i | \(0.468871\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.87325 | 0.123303 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.272594 | 0.0116767 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −23.4436 | −1.00238 | −0.501188 | − | 0.865339i | \(-0.667103\pi\) | ||||
−0.501188 | + | 0.865339i | \(0.667103\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −10.2626 | −0.437999 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.26290 | 0.0964029 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.49393 | −0.106053 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.89197 | 0.0803098 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −13.4645 | −0.570511 | −0.285255 | − | 0.958452i | \(-0.592078\pi\) | ||||
−0.285255 | + | 0.958452i | \(0.592078\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.79249 | −0.118110 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.77744 | 0.159484 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3.30829 | 0.139428 | 0.0697140 | − | 0.997567i | \(-0.477791\pi\) | ||||
0.0697140 | + | 0.997567i | \(0.477791\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −33.4576 | −1.40757 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −28.8557 | −1.21182 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −22.3573 | −0.937268 | −0.468634 | − | 0.883392i | \(-0.655254\pi\) | ||||
−0.468634 | + | 0.883392i | \(0.655254\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 25.1726 | 1.05344 | 0.526721 | − | 0.850038i | \(-0.323421\pi\) | ||||
0.526721 | + | 0.850038i | \(0.323421\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.85432 | −0.0774653 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 14.6469 | 0.610819 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.46194 | −0.144122 | −0.0720612 | − | 0.997400i | \(-0.522958\pi\) | ||||
−0.0720612 | + | 0.997400i | \(0.522958\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.530708 | −0.0220555 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.42352 | −0.390954 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 49.8904 | 2.06625 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −19.7850 | −0.818009 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 18.6098 | 0.768107 | 0.384053 | − | 0.923311i | \(-0.374528\pi\) | ||||
0.384053 | + | 0.923311i | \(0.374528\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.17112 | −0.0894596 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.354754 | −0.0145926 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −4.00728 | −0.164559 | −0.0822797 | − | 0.996609i | \(-0.526220\pi\) | ||||
−0.0822797 | + | 0.996609i | \(0.526220\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 19.8150 | 0.812337 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.48687 | −0.142708 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 46.1066 | 1.88386 | 0.941932 | − | 0.335805i | \(-0.109008\pi\) | ||||
0.941932 | + | 0.335805i | \(0.109008\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −15.4501 | −0.630222 | −0.315111 | − | 0.949055i | \(-0.602042\pi\) | ||||
−0.315111 | + | 0.949055i | \(0.602042\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 41.6843 | 1.69752 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −38.1021 | −1.54907 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −36.9285 | −1.49888 | −0.749441 | − | 0.662071i | \(-0.769678\pi\) | ||||
−0.749441 | + | 0.662071i | \(0.769678\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.13640 | −0.208137 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 28.7727 | 1.16402 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 30.6685 | 1.23869 | 0.619345 | − | 0.785119i | \(-0.287398\pi\) | ||||
0.619345 | + | 0.785119i | \(0.287398\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.71932 | −0.109654 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 30.4887 | 1.22743 | 0.613714 | − | 0.789528i | \(-0.289675\pi\) | ||||
0.613714 | + | 0.789528i | \(0.289675\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.4511 | 0.460258 | 0.230129 | − | 0.973160i | \(-0.426085\pi\) | ||||
0.230129 | + | 0.973160i | \(0.426085\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.97675 | 0.400353 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −39.0827 | −1.56582 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −13.0470 | −0.521879 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.340546 | 0.0136001 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −17.1826 | −0.685116 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.2408 | 0.606727 | 0.303363 | − | 0.952875i | \(-0.401890\pi\) | ||||
0.303363 | + | 0.952875i | \(0.401890\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.00441337 | −0.000175416 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −19.6633 | −0.780315 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −15.4959 | −0.613970 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.13496 | −0.124017 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 44.4574 | 1.75596 | 0.877981 | − | 0.478695i | \(-0.158890\pi\) | ||||
0.877981 | + | 0.478695i | \(0.158890\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −23.7397 | −0.936204 | −0.468102 | − | 0.883675i | \(-0.655062\pi\) | ||||
−0.468102 | + | 0.883675i | \(0.655062\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.272692 | −0.0107372 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4.14223 | −0.162848 | −0.0814239 | − | 0.996680i | \(-0.525947\pi\) | ||||
−0.0814239 | + | 0.996680i | \(0.525947\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 66.3536 | 2.60461 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.92807 | 0.193146 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 21.5920 | 0.844959 | 0.422479 | − | 0.906373i | \(-0.361160\pi\) | ||||
0.422479 | + | 0.906373i | \(0.361160\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 15.3180 | 0.598526 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 40.9387 | 1.59717 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −0.00140660 | −5.47932e−5 0 | −2.73966e−5 | − | 1.00000i | \(-0.500009\pi\) | ||||
−2.73966e−5 | 1.00000i | \(0.500009\pi\) | ||||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −40.7801 | −1.58616 | −0.793081 | − | 0.609116i | \(-0.791525\pi\) | ||||
−0.793081 | + | 0.609116i | \(0.791525\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.47551 | −0.0961407 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1.78638 | 0.0692728 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −63.1165 | −2.44388 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.70417 | 0.104549 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 19.6759 | 0.759580 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.3615 | 0.592141 | 0.296071 | − | 0.955166i | \(-0.404324\pi\) | ||||
0.296071 | + | 0.955166i | \(0.404324\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.12555 | 0.0818123 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −27.9057 | −1.07250 | −0.536251 | − | 0.844059i | \(-0.680160\pi\) | ||||
−0.536251 | + | 0.844059i | \(0.680160\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −14.0671 | −0.539848 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.60369 | −0.138094 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −17.6691 | −0.676091 | −0.338045 | − | 0.941130i | \(-0.609766\pi\) | ||||
−0.338045 | + | 0.941130i | \(0.609766\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.62627 | −0.176761 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1.03712 | 0.0395686 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −32.6952 | −1.24559 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.6744 | 0.824532 | 0.412266 | − | 0.911063i | \(-0.364737\pi\) | ||||
0.412266 | + | 0.911063i | \(0.364737\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 56.1068 | 2.13132 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.66328 | −0.101024 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 24.6965 | 0.935445 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −5.15831 | −0.195105 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 15.6555 | 0.591299 | 0.295649 | − | 0.955296i | \(-0.404464\pi\) | ||||
0.295649 | + | 0.955296i | \(0.404464\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.54906 | −0.0584239 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 2.80972 | 0.105820 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −18.8183 | −0.707735 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 25.4117 | 0.954356 | 0.477178 | − | 0.878807i | \(-0.341660\pi\) | ||||
0.477178 | + | 0.878807i | \(0.341660\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.20842 | −0.0828222 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 60.5566 | 2.26786 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 37.9325 | 1.41860 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 4.41984 | 0.165062 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 10.0811 | 0.375960 | 0.187980 | − | 0.982173i | \(-0.439806\pi\) | ||||
0.187980 | + | 0.982173i | \(0.439806\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −64.6197 | −2.40656 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 3.60015 | 0.133891 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −13.4470 | −0.499408 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 41.3278 | 1.53276 | 0.766381 | − | 0.642386i | \(-0.222056\pi\) | ||||
0.766381 | + | 0.642386i | \(0.222056\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −24.8233 | −0.919382 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.47655 | 0.0915984 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.71188 | −0.284845 | −0.142422 | − | 0.989806i | \(-0.545489\pi\) | ||||
−0.142422 | + | 0.989806i | \(0.545489\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.51321 | −0.0558155 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −79.9187 | −2.94384 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.81195 | −0.324153 | −0.162076 | − | 0.986778i | \(-0.551819\pi\) | ||||
−0.162076 | + | 0.986778i | \(0.551819\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.223174 | −0.00819849 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.2517 | −0.376100 | −0.188050 | − | 0.982159i | \(-0.560217\pi\) | ||||
−0.188050 | + | 0.982159i | \(0.560217\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −33.8224 | −1.23916 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −8.34469 | −0.305316 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.78367 | 0.0651739 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −14.9259 | −0.544653 | −0.272326 | − | 0.962205i | \(-0.587793\pi\) | ||||
−0.272326 | + | 0.962205i | \(0.587793\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.201914 | 0.00735815 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −21.8404 | −0.794853 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −22.3520 | −0.812396 | −0.406198 | − | 0.913785i | \(-0.633146\pi\) | ||||
−0.406198 | + | 0.913785i | \(0.633146\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −9.49846 | −0.344772 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −0.735230 | −0.0266521 | −0.0133260 | − | 0.999911i | \(-0.504242\pi\) | ||||
−0.0133260 | + | 0.999911i | \(0.504242\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.506597 | 0.0183400 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 17.5466 | 0.634397 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −43.4842 | −1.57012 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.13226 | 0.329318 | 0.164659 | − | 0.986351i | \(-0.447348\pi\) | ||||
0.164659 | + | 0.986351i | \(0.447348\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.74115 | −0.170748 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 20.2905 | 0.729797 | 0.364899 | − | 0.931047i | \(-0.381104\pi\) | ||||
0.364899 | + | 0.931047i | \(0.381104\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.9016 | 0.463439 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3.51609 | 0.126139 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 2.22645 | 0.0797710 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.01046 | 0.215071 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −9.15940 | −0.327330 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −11.1405 | −0.397620 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 43.6653 | 1.55650 | 0.778250 | − | 0.627954i | \(-0.216108\pi\) | ||||
0.778250 | + | 0.627954i | \(0.216108\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 5.44439 | 0.193825 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −62.1786 | −2.21082 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −12.8944 | −0.457894 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −3.19275 | −0.113235 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −43.9528 | −1.55689 | −0.778443 | − | 0.627715i | \(-0.783990\pi\) | ||||
−0.778443 | + | 0.627715i | \(0.783990\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −25.5174 | −0.902742 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −34.6084 | −1.22283 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −78.4891 | −2.76982 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −49.8254 | −1.75611 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 2.54090 | 0.0894439 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −23.2769 | −0.818371 | −0.409185 | − | 0.912451i | \(-0.634187\pi\) | ||||
−0.409185 | + | 0.912451i | \(0.634187\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −15.8360 | −0.556076 | −0.278038 | − | 0.960570i | \(-0.589684\pi\) | ||||
−0.278038 | + | 0.960570i | \(0.589684\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −4.78796 | −0.167921 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 13.6161 | 0.476952 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.223268 | 0.00781114 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −36.7690 | −1.28481 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 54.6129 | 1.90600 | 0.953001 | − | 0.302967i | \(-0.0979770\pi\) | ||||
0.953001 | + | 0.302967i | \(0.0979770\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.89849 | 0.345040 | 0.172520 | − | 0.985006i | \(-0.444809\pi\) | ||||
0.172520 | + | 0.985006i | \(0.444809\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.02365 | −0.0704543 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −43.8078 | −1.52335 | −0.761673 | − | 0.647962i | \(-0.775622\pi\) | ||||
−0.761673 | + | 0.647962i | \(0.775622\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 29.4488 | 1.02280 | 0.511400 | − | 0.859343i | \(-0.329127\pi\) | ||||
0.511400 | + | 0.859343i | \(0.329127\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −4.67765 | −0.162266 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 13.7427 | 0.476157 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 17.2837 | 0.598126 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 8.78791 | 0.303755 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −21.9325 | −0.757194 | −0.378597 | − | 0.925562i | \(-0.623593\pi\) | ||||
−0.378597 | + | 0.925562i | \(0.623593\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 28.9456 | 0.998126 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −2.25346 | −0.0776133 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1.48218 | −0.0509887 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −70.8100 | −2.43306 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 2.75835 | 0.0946664 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 43.2061 | 1.48109 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 28.6166 | 0.979813 | 0.489907 | − | 0.871775i | \(-0.337031\pi\) | ||||
0.489907 | + | 0.871775i | \(0.337031\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.58187 | 0.0540988 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 48.8480 | 1.66862 | 0.834308 | − | 0.551299i | \(-0.185868\pi\) | ||||
0.834308 | + | 0.551299i | \(0.185868\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 50.7577 | 1.73183 | 0.865914 | − | 0.500192i | \(-0.166737\pi\) | ||||
0.865914 | + | 0.500192i | \(0.166737\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −5.05366 | −0.172228 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −45.3849 | −1.54492 | −0.772460 | − | 0.635064i | \(-0.780974\pi\) | ||||
−0.772460 | + | 0.635064i | \(0.780974\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.6567 | −0.396339 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.23711 | −0.0420143 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 4.23406 | 0.143631 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 52.3739 | 1.77462 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −12.4567 | −0.421596 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −40.6614 | −1.37461 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 24.2677 | 0.819462 | 0.409731 | − | 0.912206i | \(-0.365623\pi\) | ||||
0.409731 | + | 0.912206i | \(0.365623\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −1.36820 | −0.0461481 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −48.7992 | −1.64409 | −0.822044 | − | 0.569424i | \(-0.807166\pi\) | ||||
−0.822044 | + | 0.569424i | \(0.807166\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −27.5261 | −0.926327 | −0.463164 | − | 0.886273i | \(-0.653286\pi\) | ||||
−0.463164 | + | 0.886273i | \(0.653286\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4.24632 | −0.142738 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −51.0022 | −1.71249 | −0.856244 | − | 0.516572i | \(-0.827208\pi\) | ||||
−0.856244 | + | 0.516572i | \(0.827208\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −36.5428 | −1.22561 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 48.9896 | 1.64121 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −2.30047 | −0.0769822 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −37.6145 | −1.25731 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 6.22472 | 0.207837 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −55.5955 | −1.85421 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 28.9961 | 0.966000 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.506778 | −0.0168645 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −25.5884 | −0.850588 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.17559 | 0.205057 | 0.102528 | − | 0.994730i | \(-0.467307\pi\) | ||||
0.102528 | + | 0.994730i | \(0.467307\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −16.6639 | −0.552708 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 17.6971 | 0.586331 | 0.293165 | − | 0.956062i | \(-0.405291\pi\) | ||||
0.293165 | + | 0.956062i | \(0.405291\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 15.9987 | 0.529481 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −1.25917 | −0.0416267 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 28.4675 | 0.940079 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −44.6548 | −1.47303 | −0.736514 | − | 0.676423i | \(-0.763529\pi\) | ||||
−0.736514 | + | 0.676423i | \(0.763529\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −5.47135 | −0.180287 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −3.93889 | −0.129650 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.20506 | 0.302660 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −57.2219 | −1.87941 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −27.5676 | −0.904462 | −0.452231 | − | 0.891901i | \(-0.649372\pi\) | ||||
−0.452231 | + | 0.891901i | \(0.649372\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.23894 | 0.0406048 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.374631 | 0.0122649 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −33.6409 | −1.10017 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.22196 | −0.0399196 | −0.0199598 | − | 0.999801i | \(-0.506354\pi\) | ||||
−0.0199598 | + | 0.999801i | \(0.506354\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0.0997511 | 0.00325526 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −42.9102 | −1.39883 | −0.699416 | − | 0.714715i | \(-0.746556\pi\) | ||||
−0.699416 | + | 0.714715i | \(0.746556\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −62.0998 | −2.02225 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −7.23060 | −0.235212 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −25.6450 | −0.833352 | −0.416676 | − | 0.909055i | \(-0.636805\pi\) | ||||
−0.416676 | + | 0.909055i | \(0.636805\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 51.4370 | 1.66972 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 4.44931 | 0.144279 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 37.8088 | 1.22475 | 0.612374 | − | 0.790568i | \(-0.290215\pi\) | ||||
0.612374 | + | 0.790568i | \(0.290215\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.5141 | 0.534383 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 8.72029 | 0.281887 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −8.59759 | −0.277631 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 22.3406 | 0.720665 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 1.57947 | 0.0508978 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.72635 | 0.152146 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.36445 | −0.140351 | −0.0701757 | − | 0.997535i | \(-0.522356\pi\) | ||||
−0.0701757 | + | 0.997535i | \(0.522356\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.197924 | 0.00635824 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 3.58064 | 0.114908 | 0.0574541 | − | 0.998348i | \(-0.481702\pi\) | ||||
0.0574541 | + | 0.998348i | \(0.481702\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.94951 | −0.158674 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.32618 | 0.0424716 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 29.3579 | 0.939244 | 0.469622 | − | 0.882868i | \(-0.344390\pi\) | ||||
0.469622 | + | 0.882868i | \(0.344390\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 66.3526 | 2.12064 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.448600 | 0.0143227 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 17.1708 | 0.547663 | 0.273832 | − | 0.961778i | \(-0.411709\pi\) | ||||
0.273832 | + | 0.961778i | \(0.411709\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.15934 | 0.100665 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 5.22166 | 0.166207 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −6.22734 | −0.198018 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22.9166 | −0.727971 | −0.363985 | − | 0.931405i | \(-0.618584\pi\) | ||||
−0.363985 | + | 0.931405i | \(0.618584\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.90713 | −0.219191 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 31.0532 | 0.984452 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −32.3122 | −1.02334 | −0.511669 | − | 0.859183i | \(-0.670973\pi\) | ||||
−0.511669 | + | 0.859183i | \(0.670973\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 6.27002 | 0.198375 |
(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 | 4016.2.a.m.1.13 | 23 | ||
4.3 | odd | 2 | 2008.2.a.d.1.11 | ✓ | 23 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
2008.2.a.d.1.11 | ✓ | 23 | 4.3 | odd | 2 | ||
4016.2.a.m.1.13 | 23 | 1.1 | even | 1 | trivial |