Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6017,2,Mod(1,6017)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6017, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([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("6017.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6017 = 11 \cdot 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6017.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: | \(48.0459868962\) |
Analytic rank: | \(1\) |
Dimension: | \(106\) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.19 | ||
Character | \(\chi\) | \(=\) | 6017.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.01004 | −1.42131 | −0.710655 | − | 0.703541i | \(-0.751601\pi\) | ||||
−0.710655 | + | 0.703541i | \(0.751601\pi\) | |||||||
\(3\) | −2.26087 | −1.30531 | −0.652657 | − | 0.757653i | \(-0.726346\pi\) | ||||
−0.652657 | + | 0.757653i | \(0.726346\pi\) | |||||||
\(4\) | 2.04024 | 1.02012 | ||||||||
\(5\) | −3.50443 | −1.56723 | −0.783615 | − | 0.621247i | \(-0.786627\pi\) | ||||
−0.783615 | + | 0.621247i | \(0.786627\pi\) | |||||||
\(6\) | 4.54443 | 1.85526 | ||||||||
\(7\) | 2.31355 | 0.874439 | 0.437220 | − | 0.899355i | \(-0.355963\pi\) | ||||
0.437220 | + | 0.899355i | \(0.355963\pi\) | |||||||
\(8\) | −0.0808885 | −0.0285984 | ||||||||
\(9\) | 2.11154 | 0.703845 | ||||||||
\(10\) | 7.04404 | 2.22752 | ||||||||
\(11\) | 1.00000 | 0.301511 | ||||||||
\(12\) | −4.61272 | −1.33158 | ||||||||
\(13\) | 0.932710 | 0.258687 | 0.129344 | − | 0.991600i | \(-0.458713\pi\) | ||||
0.129344 | + | 0.991600i | \(0.458713\pi\) | |||||||
\(14\) | −4.65032 | −1.24285 | ||||||||
\(15\) | 7.92307 | 2.04573 | ||||||||
\(16\) | −3.91790 | −0.979474 | ||||||||
\(17\) | 2.24975 | 0.545644 | 0.272822 | − | 0.962065i | \(-0.412043\pi\) | ||||
0.272822 | + | 0.962065i | \(0.412043\pi\) | |||||||
\(18\) | −4.24426 | −1.00038 | ||||||||
\(19\) | −1.81538 | −0.416476 | −0.208238 | − | 0.978078i | \(-0.566773\pi\) | ||||
−0.208238 | + | 0.978078i | \(0.566773\pi\) | |||||||
\(20\) | −7.14989 | −1.59876 | ||||||||
\(21\) | −5.23064 | −1.14142 | ||||||||
\(22\) | −2.01004 | −0.428541 | ||||||||
\(23\) | 7.60522 | 1.58580 | 0.792899 | − | 0.609353i | \(-0.208571\pi\) | ||||
0.792899 | + | 0.609353i | \(0.208571\pi\) | |||||||
\(24\) | 0.182878 | 0.0373299 | ||||||||
\(25\) | 7.28105 | 1.45621 | ||||||||
\(26\) | −1.87478 | −0.367674 | ||||||||
\(27\) | 2.00870 | 0.386575 | ||||||||
\(28\) | 4.72020 | 0.892034 | ||||||||
\(29\) | −0.260714 | −0.0484133 | −0.0242066 | − | 0.999707i | \(-0.507706\pi\) | ||||
−0.0242066 | + | 0.999707i | \(0.507706\pi\) | |||||||
\(30\) | −15.9257 | −2.90761 | ||||||||
\(31\) | −8.81982 | −1.58409 | −0.792043 | − | 0.610465i | \(-0.790983\pi\) | ||||
−0.792043 | + | 0.610465i | \(0.790983\pi\) | |||||||
\(32\) | 8.03689 | 1.42073 | ||||||||
\(33\) | −2.26087 | −0.393567 | ||||||||
\(34\) | −4.52207 | −0.775529 | ||||||||
\(35\) | −8.10768 | −1.37045 | ||||||||
\(36\) | 4.30805 | 0.718008 | ||||||||
\(37\) | −0.763248 | −0.125477 | −0.0627386 | − | 0.998030i | \(-0.519983\pi\) | ||||
−0.0627386 | + | 0.998030i | \(0.519983\pi\) | |||||||
\(38\) | 3.64897 | 0.591941 | ||||||||
\(39\) | −2.10874 | −0.337668 | ||||||||
\(40\) | 0.283468 | 0.0448203 | ||||||||
\(41\) | −9.05116 | −1.41355 | −0.706777 | − | 0.707437i | \(-0.749852\pi\) | ||||
−0.706777 | + | 0.707437i | \(0.749852\pi\) | |||||||
\(42\) | 10.5138 | 1.62231 | ||||||||
\(43\) | −5.33038 | −0.812876 | −0.406438 | − | 0.913678i | \(-0.633229\pi\) | ||||
−0.406438 | + | 0.913678i | \(0.633229\pi\) | |||||||
\(44\) | 2.04024 | 0.307578 | ||||||||
\(45\) | −7.39974 | −1.10309 | ||||||||
\(46\) | −15.2868 | −2.25391 | ||||||||
\(47\) | −7.77051 | −1.13344 | −0.566722 | − | 0.823909i | \(-0.691789\pi\) | ||||
−0.566722 | + | 0.823909i | \(0.691789\pi\) | |||||||
\(48\) | 8.85786 | 1.27852 | ||||||||
\(49\) | −1.64749 | −0.235356 | ||||||||
\(50\) | −14.6352 | −2.06973 | ||||||||
\(51\) | −5.08639 | −0.712237 | ||||||||
\(52\) | 1.90295 | 0.263892 | ||||||||
\(53\) | 6.46060 | 0.887432 | 0.443716 | − | 0.896167i | \(-0.353660\pi\) | ||||
0.443716 | + | 0.896167i | \(0.353660\pi\) | |||||||
\(54\) | −4.03756 | −0.549443 | ||||||||
\(55\) | −3.50443 | −0.472538 | ||||||||
\(56\) | −0.187140 | −0.0250076 | ||||||||
\(57\) | 4.10433 | 0.543632 | ||||||||
\(58\) | 0.524043 | 0.0688103 | ||||||||
\(59\) | 14.8158 | 1.92886 | 0.964428 | − | 0.264344i | \(-0.0851555\pi\) | ||||
0.964428 | + | 0.264344i | \(0.0851555\pi\) | |||||||
\(60\) | 16.1650 | 2.08689 | ||||||||
\(61\) | 9.18233 | 1.17568 | 0.587838 | − | 0.808978i | \(-0.299979\pi\) | ||||
0.587838 | + | 0.808978i | \(0.299979\pi\) | |||||||
\(62\) | 17.7282 | 2.25148 | ||||||||
\(63\) | 4.88514 | 0.615470 | ||||||||
\(64\) | −8.31863 | −1.03983 | ||||||||
\(65\) | −3.26862 | −0.405422 | ||||||||
\(66\) | 4.54443 | 0.559381 | ||||||||
\(67\) | −4.86067 | −0.593826 | −0.296913 | − | 0.954905i | \(-0.595957\pi\) | ||||
−0.296913 | + | 0.954905i | \(0.595957\pi\) | |||||||
\(68\) | 4.59003 | 0.556623 | ||||||||
\(69\) | −17.1944 | −2.06996 | ||||||||
\(70\) | 16.2967 | 1.94783 | ||||||||
\(71\) | 1.33641 | 0.158602 | 0.0793011 | − | 0.996851i | \(-0.474731\pi\) | ||||
0.0793011 | + | 0.996851i | \(0.474731\pi\) | |||||||
\(72\) | −0.170799 | −0.0201289 | ||||||||
\(73\) | −3.28867 | −0.384909 | −0.192455 | − | 0.981306i | \(-0.561645\pi\) | ||||
−0.192455 | + | 0.981306i | \(0.561645\pi\) | |||||||
\(74\) | 1.53416 | 0.178342 | ||||||||
\(75\) | −16.4615 | −1.90081 | ||||||||
\(76\) | −3.70381 | −0.424856 | ||||||||
\(77\) | 2.31355 | 0.263653 | ||||||||
\(78\) | 4.23863 | 0.479931 | ||||||||
\(79\) | −11.5544 | −1.29997 | −0.649985 | − | 0.759947i | \(-0.725225\pi\) | ||||
−0.649985 | + | 0.759947i | \(0.725225\pi\) | |||||||
\(80\) | 13.7300 | 1.53506 | ||||||||
\(81\) | −10.8760 | −1.20845 | ||||||||
\(82\) | 18.1932 | 2.00910 | ||||||||
\(83\) | −3.21228 | −0.352593 | −0.176297 | − | 0.984337i | \(-0.556412\pi\) | ||||
−0.176297 | + | 0.984337i | \(0.556412\pi\) | |||||||
\(84\) | −10.6718 | −1.16438 | ||||||||
\(85\) | −7.88409 | −0.855150 | ||||||||
\(86\) | 10.7143 | 1.15535 | ||||||||
\(87\) | 0.589440 | 0.0631946 | ||||||||
\(88\) | −0.0808885 | −0.00862274 | ||||||||
\(89\) | −9.75901 | −1.03445 | −0.517226 | − | 0.855849i | \(-0.673035\pi\) | ||||
−0.517226 | + | 0.855849i | \(0.673035\pi\) | |||||||
\(90\) | 14.8737 | 1.56783 | ||||||||
\(91\) | 2.15787 | 0.226206 | ||||||||
\(92\) | 15.5165 | 1.61771 | ||||||||
\(93\) | 19.9405 | 2.06773 | ||||||||
\(94\) | 15.6190 | 1.61098 | ||||||||
\(95\) | 6.36187 | 0.652714 | ||||||||
\(96\) | −18.1704 | −1.85450 | ||||||||
\(97\) | 3.45493 | 0.350795 | 0.175397 | − | 0.984498i | \(-0.443879\pi\) | ||||
0.175397 | + | 0.984498i | \(0.443879\pi\) | |||||||
\(98\) | 3.31151 | 0.334513 | ||||||||
\(99\) | 2.11154 | 0.212217 | ||||||||
\(100\) | 14.8551 | 1.48551 | ||||||||
\(101\) | −2.21590 | −0.220490 | −0.110245 | − | 0.993904i | \(-0.535164\pi\) | ||||
−0.110245 | + | 0.993904i | \(0.535164\pi\) | |||||||
\(102\) | 10.2238 | 1.01231 | ||||||||
\(103\) | 3.92284 | 0.386529 | 0.193265 | − | 0.981147i | \(-0.438092\pi\) | ||||
0.193265 | + | 0.981147i | \(0.438092\pi\) | |||||||
\(104\) | −0.0754455 | −0.00739804 | ||||||||
\(105\) | 18.3304 | 1.78887 | ||||||||
\(106\) | −12.9860 | −1.26132 | ||||||||
\(107\) | 1.77673 | 0.171763 | 0.0858816 | − | 0.996305i | \(-0.472629\pi\) | ||||
0.0858816 | + | 0.996305i | \(0.472629\pi\) | |||||||
\(108\) | 4.09824 | 0.394353 | ||||||||
\(109\) | 9.06939 | 0.868690 | 0.434345 | − | 0.900747i | \(-0.356980\pi\) | ||||
0.434345 | + | 0.900747i | \(0.356980\pi\) | |||||||
\(110\) | 7.04404 | 0.671622 | ||||||||
\(111\) | 1.72561 | 0.163787 | ||||||||
\(112\) | −9.06425 | −0.856491 | ||||||||
\(113\) | −10.4686 | −0.984803 | −0.492402 | − | 0.870368i | \(-0.663881\pi\) | ||||
−0.492402 | + | 0.870368i | \(0.663881\pi\) | |||||||
\(114\) | −8.24985 | −0.772670 | ||||||||
\(115\) | −26.6520 | −2.48531 | ||||||||
\(116\) | −0.531919 | −0.0493874 | ||||||||
\(117\) | 1.96945 | 0.182076 | ||||||||
\(118\) | −29.7803 | −2.74150 | ||||||||
\(119\) | 5.20490 | 0.477132 | ||||||||
\(120\) | −0.640885 | −0.0585046 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | −18.4568 | −1.67100 | ||||||||
\(123\) | 20.4635 | 1.84513 | ||||||||
\(124\) | −17.9946 | −1.61596 | ||||||||
\(125\) | −7.99380 | −0.714987 | ||||||||
\(126\) | −9.81931 | −0.874774 | ||||||||
\(127\) | 4.28096 | 0.379874 | 0.189937 | − | 0.981796i | \(-0.439172\pi\) | ||||
0.189937 | + | 0.981796i | \(0.439172\pi\) | |||||||
\(128\) | 0.646977 | 0.0571852 | ||||||||
\(129\) | 12.0513 | 1.06106 | ||||||||
\(130\) | 6.57004 | 0.576231 | ||||||||
\(131\) | 22.8795 | 1.99899 | 0.999495 | − | 0.0317873i | \(-0.0101199\pi\) | ||||
0.999495 | + | 0.0317873i | \(0.0101199\pi\) | |||||||
\(132\) | −4.61272 | −0.401486 | ||||||||
\(133\) | −4.19996 | −0.364183 | ||||||||
\(134\) | 9.77013 | 0.844010 | ||||||||
\(135\) | −7.03936 | −0.605852 | ||||||||
\(136\) | −0.181979 | −0.0156045 | ||||||||
\(137\) | −11.5420 | −0.986099 | −0.493050 | − | 0.870001i | \(-0.664118\pi\) | ||||
−0.493050 | + | 0.870001i | \(0.664118\pi\) | |||||||
\(138\) | 34.5614 | 2.94206 | ||||||||
\(139\) | −16.1738 | −1.37184 | −0.685922 | − | 0.727675i | \(-0.740601\pi\) | ||||
−0.685922 | + | 0.727675i | \(0.740601\pi\) | |||||||
\(140\) | −16.5416 | −1.39802 | ||||||||
\(141\) | 17.5681 | 1.47950 | ||||||||
\(142\) | −2.68622 | −0.225423 | ||||||||
\(143\) | 0.932710 | 0.0779971 | ||||||||
\(144\) | −8.27278 | −0.689398 | ||||||||
\(145\) | 0.913653 | 0.0758748 | ||||||||
\(146\) | 6.61034 | 0.547075 | ||||||||
\(147\) | 3.72476 | 0.307213 | ||||||||
\(148\) | −1.55721 | −0.128002 | ||||||||
\(149\) | 17.5665 | 1.43910 | 0.719552 | − | 0.694438i | \(-0.244347\pi\) | ||||
0.719552 | + | 0.694438i | \(0.244347\pi\) | |||||||
\(150\) | 33.0882 | 2.70164 | ||||||||
\(151\) | 21.1298 | 1.71952 | 0.859759 | − | 0.510699i | \(-0.170614\pi\) | ||||
0.859759 | + | 0.510699i | \(0.170614\pi\) | |||||||
\(152\) | 0.146843 | 0.0119106 | ||||||||
\(153\) | 4.75042 | 0.384049 | ||||||||
\(154\) | −4.65032 | −0.374733 | ||||||||
\(155\) | 30.9085 | 2.48263 | ||||||||
\(156\) | −4.30233 | −0.344462 | ||||||||
\(157\) | 20.4171 | 1.62946 | 0.814730 | − | 0.579841i | \(-0.196885\pi\) | ||||
0.814730 | + | 0.579841i | \(0.196885\pi\) | |||||||
\(158\) | 23.2247 | 1.84766 | ||||||||
\(159\) | −14.6066 | −1.15838 | ||||||||
\(160\) | −28.1647 | −2.22662 | ||||||||
\(161\) | 17.5951 | 1.38668 | ||||||||
\(162\) | 21.8612 | 1.71758 | ||||||||
\(163\) | −19.6856 | −1.54189 | −0.770947 | − | 0.636900i | \(-0.780217\pi\) | ||||
−0.770947 | + | 0.636900i | \(0.780217\pi\) | |||||||
\(164\) | −18.4666 | −1.44200 | ||||||||
\(165\) | 7.92307 | 0.616810 | ||||||||
\(166\) | 6.45679 | 0.501144 | ||||||||
\(167\) | 13.7573 | 1.06457 | 0.532284 | − | 0.846566i | \(-0.321334\pi\) | ||||
0.532284 | + | 0.846566i | \(0.321334\pi\) | |||||||
\(168\) | 0.423098 | 0.0326427 | ||||||||
\(169\) | −12.1301 | −0.933081 | ||||||||
\(170\) | 15.8473 | 1.21543 | ||||||||
\(171\) | −3.83323 | −0.293135 | ||||||||
\(172\) | −10.8753 | −0.829232 | ||||||||
\(173\) | −0.793270 | −0.0603112 | −0.0301556 | − | 0.999545i | \(-0.509600\pi\) | ||||
−0.0301556 | + | 0.999545i | \(0.509600\pi\) | |||||||
\(174\) | −1.18479 | −0.0898190 | ||||||||
\(175\) | 16.8451 | 1.27337 | ||||||||
\(176\) | −3.91790 | −0.295323 | ||||||||
\(177\) | −33.4967 | −2.51776 | ||||||||
\(178\) | 19.6160 | 1.47028 | ||||||||
\(179\) | −0.814349 | −0.0608673 | −0.0304336 | − | 0.999537i | \(-0.509689\pi\) | ||||
−0.0304336 | + | 0.999537i | \(0.509689\pi\) | |||||||
\(180\) | −15.0973 | −1.12528 | ||||||||
\(181\) | −12.8153 | −0.952551 | −0.476276 | − | 0.879296i | \(-0.658014\pi\) | ||||
−0.476276 | + | 0.879296i | \(0.658014\pi\) | |||||||
\(182\) | −4.33739 | −0.321509 | ||||||||
\(183\) | −20.7601 | −1.53463 | ||||||||
\(184\) | −0.615175 | −0.0453513 | ||||||||
\(185\) | 2.67475 | 0.196652 | ||||||||
\(186\) | −40.0811 | −2.93889 | ||||||||
\(187\) | 2.24975 | 0.164518 | ||||||||
\(188\) | −15.8537 | −1.15625 | ||||||||
\(189\) | 4.64723 | 0.338036 | ||||||||
\(190\) | −12.7876 | −0.927708 | ||||||||
\(191\) | 24.8604 | 1.79884 | 0.899418 | − | 0.437089i | \(-0.143990\pi\) | ||||
0.899418 | + | 0.437089i | \(0.143990\pi\) | |||||||
\(192\) | 18.8074 | 1.35730 | ||||||||
\(193\) | 8.20499 | 0.590608 | 0.295304 | − | 0.955403i | \(-0.404579\pi\) | ||||
0.295304 | + | 0.955403i | \(0.404579\pi\) | |||||||
\(194\) | −6.94453 | −0.498588 | ||||||||
\(195\) | 7.38992 | 0.529203 | ||||||||
\(196\) | −3.36128 | −0.240091 | ||||||||
\(197\) | 9.64035 | 0.686847 | 0.343423 | − | 0.939181i | \(-0.388413\pi\) | ||||
0.343423 | + | 0.939181i | \(0.388413\pi\) | |||||||
\(198\) | −4.24426 | −0.301627 | ||||||||
\(199\) | 9.92421 | 0.703509 | 0.351754 | − | 0.936092i | \(-0.385585\pi\) | ||||
0.351754 | + | 0.936092i | \(0.385585\pi\) | |||||||
\(200\) | −0.588954 | −0.0416453 | ||||||||
\(201\) | 10.9894 | 0.775129 | ||||||||
\(202\) | 4.45404 | 0.313385 | ||||||||
\(203\) | −0.603174 | −0.0423345 | ||||||||
\(204\) | −10.3775 | −0.726568 | ||||||||
\(205\) | 31.7192 | 2.21536 | ||||||||
\(206\) | −7.88505 | −0.549378 | ||||||||
\(207\) | 16.0587 | 1.11616 | ||||||||
\(208\) | −3.65426 | −0.253377 | ||||||||
\(209\) | −1.81538 | −0.125572 | ||||||||
\(210\) | −36.8448 | −2.54253 | ||||||||
\(211\) | 4.75228 | 0.327161 | 0.163580 | − | 0.986530i | \(-0.447696\pi\) | ||||
0.163580 | + | 0.986530i | \(0.447696\pi\) | |||||||
\(212\) | 13.1812 | 0.905288 | ||||||||
\(213\) | −3.02144 | −0.207026 | ||||||||
\(214\) | −3.57130 | −0.244129 | ||||||||
\(215\) | 18.6800 | 1.27396 | ||||||||
\(216\) | −0.162481 | −0.0110554 | ||||||||
\(217\) | −20.4051 | −1.38519 | ||||||||
\(218\) | −18.2298 | −1.23468 | ||||||||
\(219\) | 7.43525 | 0.502428 | ||||||||
\(220\) | −7.14989 | −0.482046 | ||||||||
\(221\) | 2.09836 | 0.141151 | ||||||||
\(222\) | −3.46853 | −0.232792 | ||||||||
\(223\) | 24.7024 | 1.65420 | 0.827098 | − | 0.562058i | \(-0.189990\pi\) | ||||
0.827098 | + | 0.562058i | \(0.189990\pi\) | |||||||
\(224\) | 18.5937 | 1.24235 | ||||||||
\(225\) | 15.3742 | 1.02495 | ||||||||
\(226\) | 21.0423 | 1.39971 | ||||||||
\(227\) | 8.42187 | 0.558979 | 0.279490 | − | 0.960149i | \(-0.409835\pi\) | ||||
0.279490 | + | 0.960149i | \(0.409835\pi\) | |||||||
\(228\) | 8.37383 | 0.554571 | ||||||||
\(229\) | −21.9274 | −1.44900 | −0.724502 | − | 0.689273i | \(-0.757930\pi\) | ||||
−0.724502 | + | 0.689273i | \(0.757930\pi\) | |||||||
\(230\) | 53.5714 | 3.53240 | ||||||||
\(231\) | −5.23064 | −0.344151 | ||||||||
\(232\) | 0.0210887 | 0.00138454 | ||||||||
\(233\) | 5.82125 | 0.381363 | 0.190681 | − | 0.981652i | \(-0.438930\pi\) | ||||
0.190681 | + | 0.981652i | \(0.438930\pi\) | |||||||
\(234\) | −3.95866 | −0.258786 | ||||||||
\(235\) | 27.2312 | 1.77637 | ||||||||
\(236\) | 30.2279 | 1.96767 | ||||||||
\(237\) | 26.1230 | 1.69687 | ||||||||
\(238\) | −10.4620 | −0.678153 | ||||||||
\(239\) | 3.33427 | 0.215676 | 0.107838 | − | 0.994168i | \(-0.465607\pi\) | ||||
0.107838 | + | 0.994168i | \(0.465607\pi\) | |||||||
\(240\) | −31.0418 | −2.00374 | ||||||||
\(241\) | −25.7942 | −1.66155 | −0.830775 | − | 0.556609i | \(-0.812102\pi\) | ||||
−0.830775 | + | 0.556609i | \(0.812102\pi\) | |||||||
\(242\) | −2.01004 | −0.129210 | ||||||||
\(243\) | 18.5632 | 1.19083 | ||||||||
\(244\) | 18.7342 | 1.19933 | ||||||||
\(245\) | 5.77352 | 0.368857 | ||||||||
\(246\) | −41.1324 | −2.62250 | ||||||||
\(247\) | −1.69322 | −0.107737 | ||||||||
\(248\) | 0.713422 | 0.0453023 | ||||||||
\(249\) | 7.26254 | 0.460245 | ||||||||
\(250\) | 16.0678 | 1.01622 | ||||||||
\(251\) | −17.4887 | −1.10388 | −0.551939 | − | 0.833884i | \(-0.686112\pi\) | ||||
−0.551939 | + | 0.833884i | \(0.686112\pi\) | |||||||
\(252\) | 9.96688 | 0.627854 | ||||||||
\(253\) | 7.60522 | 0.478136 | ||||||||
\(254\) | −8.60489 | −0.539919 | ||||||||
\(255\) | 17.8249 | 1.11624 | ||||||||
\(256\) | 15.3368 | 0.958551 | ||||||||
\(257\) | −15.2016 | −0.948249 | −0.474124 | − | 0.880458i | \(-0.657235\pi\) | ||||
−0.474124 | + | 0.880458i | \(0.657235\pi\) | |||||||
\(258\) | −24.2236 | −1.50809 | ||||||||
\(259\) | −1.76581 | −0.109722 | ||||||||
\(260\) | −6.66877 | −0.413580 | ||||||||
\(261\) | −0.550506 | −0.0340755 | ||||||||
\(262\) | −45.9886 | −2.84118 | ||||||||
\(263\) | −7.62342 | −0.470080 | −0.235040 | − | 0.971986i | \(-0.575522\pi\) | ||||
−0.235040 | + | 0.971986i | \(0.575522\pi\) | |||||||
\(264\) | 0.182878 | 0.0112554 | ||||||||
\(265\) | −22.6407 | −1.39081 | ||||||||
\(266\) | 8.44208 | 0.517617 | ||||||||
\(267\) | 22.0639 | 1.35029 | ||||||||
\(268\) | −9.91695 | −0.605774 | ||||||||
\(269\) | 17.1807 | 1.04753 | 0.523764 | − | 0.851864i | \(-0.324527\pi\) | ||||
0.523764 | + | 0.851864i | \(0.324527\pi\) | |||||||
\(270\) | 14.1494 | 0.861103 | ||||||||
\(271\) | −17.1951 | −1.04453 | −0.522265 | − | 0.852783i | \(-0.674913\pi\) | ||||
−0.522265 | + | 0.852783i | \(0.674913\pi\) | |||||||
\(272\) | −8.81428 | −0.534444 | ||||||||
\(273\) | −4.87866 | −0.295270 | ||||||||
\(274\) | 23.1998 | 1.40155 | ||||||||
\(275\) | 7.28105 | 0.439064 | ||||||||
\(276\) | −35.0808 | −2.11161 | ||||||||
\(277\) | 7.27007 | 0.436816 | 0.218408 | − | 0.975858i | \(-0.429914\pi\) | ||||
0.218408 | + | 0.975858i | \(0.429914\pi\) | |||||||
\(278\) | 32.5099 | 1.94982 | ||||||||
\(279\) | −18.6234 | −1.11495 | ||||||||
\(280\) | 0.655818 | 0.0391926 | ||||||||
\(281\) | 28.0082 | 1.67083 | 0.835415 | − | 0.549619i | \(-0.185227\pi\) | ||||
0.835415 | + | 0.549619i | \(0.185227\pi\) | |||||||
\(282\) | −35.3125 | −2.10283 | ||||||||
\(283\) | −4.00734 | −0.238212 | −0.119106 | − | 0.992882i | \(-0.538003\pi\) | ||||
−0.119106 | + | 0.992882i | \(0.538003\pi\) | |||||||
\(284\) | 2.72659 | 0.161794 | ||||||||
\(285\) | −14.3834 | −0.851997 | ||||||||
\(286\) | −1.87478 | −0.110858 | ||||||||
\(287\) | −20.9403 | −1.23607 | ||||||||
\(288\) | 16.9702 | 0.999977 | ||||||||
\(289\) | −11.9386 | −0.702273 | ||||||||
\(290\) | −1.83648 | −0.107842 | ||||||||
\(291\) | −7.81114 | −0.457897 | ||||||||
\(292\) | −6.70968 | −0.392654 | ||||||||
\(293\) | −25.1586 | −1.46978 | −0.734892 | − | 0.678184i | \(-0.762767\pi\) | ||||
−0.734892 | + | 0.678184i | \(0.762767\pi\) | |||||||
\(294\) | −7.48690 | −0.436645 | ||||||||
\(295\) | −51.9211 | −3.02296 | ||||||||
\(296\) | 0.0617380 | 0.00358845 | ||||||||
\(297\) | 2.00870 | 0.116557 | ||||||||
\(298\) | −35.3093 | −2.04541 | ||||||||
\(299\) | 7.09346 | 0.410225 | ||||||||
\(300\) | −33.5855 | −1.93906 | ||||||||
\(301\) | −12.3321 | −0.710811 | ||||||||
\(302\) | −42.4716 | −2.44397 | ||||||||
\(303\) | 5.00987 | 0.287809 | ||||||||
\(304\) | 7.11246 | 0.407927 | ||||||||
\(305\) | −32.1789 | −1.84256 | ||||||||
\(306\) | −9.54852 | −0.545852 | ||||||||
\(307\) | −32.2330 | −1.83963 | −0.919817 | − | 0.392347i | \(-0.871663\pi\) | ||||
−0.919817 | + | 0.392347i | \(0.871663\pi\) | |||||||
\(308\) | 4.72020 | 0.268958 | ||||||||
\(309\) | −8.86904 | −0.504542 | ||||||||
\(310\) | −62.1271 | −3.52858 | ||||||||
\(311\) | 1.34046 | 0.0760105 | 0.0380053 | − | 0.999278i | \(-0.487900\pi\) | ||||
0.0380053 | + | 0.999278i | \(0.487900\pi\) | |||||||
\(312\) | 0.170572 | 0.00965677 | ||||||||
\(313\) | 27.2252 | 1.53886 | 0.769430 | − | 0.638731i | \(-0.220540\pi\) | ||||
0.769430 | + | 0.638731i | \(0.220540\pi\) | |||||||
\(314\) | −41.0390 | −2.31597 | ||||||||
\(315\) | −17.1197 | −0.964583 | ||||||||
\(316\) | −23.5738 | −1.32613 | ||||||||
\(317\) | −28.6058 | −1.60666 | −0.803332 | − | 0.595532i | \(-0.796941\pi\) | ||||
−0.803332 | + | 0.595532i | \(0.796941\pi\) | |||||||
\(318\) | 29.3598 | 1.64641 | ||||||||
\(319\) | −0.260714 | −0.0145972 | ||||||||
\(320\) | 29.1521 | 1.62965 | ||||||||
\(321\) | −4.01696 | −0.224205 | ||||||||
\(322\) | −35.3667 | −1.97091 | ||||||||
\(323\) | −4.08414 | −0.227248 | ||||||||
\(324\) | −22.1897 | −1.23276 | ||||||||
\(325\) | 6.79111 | 0.376703 | ||||||||
\(326\) | 39.5687 | 2.19151 | ||||||||
\(327\) | −20.5047 | −1.13391 | ||||||||
\(328\) | 0.732135 | 0.0404254 | ||||||||
\(329\) | −17.9775 | −0.991129 | ||||||||
\(330\) | −15.9257 | −0.876678 | ||||||||
\(331\) | 14.1311 | 0.776717 | 0.388358 | − | 0.921508i | \(-0.373042\pi\) | ||||
0.388358 | + | 0.921508i | \(0.373042\pi\) | |||||||
\(332\) | −6.55383 | −0.359688 | ||||||||
\(333\) | −1.61163 | −0.0883166 | ||||||||
\(334\) | −27.6526 | −1.51308 | ||||||||
\(335\) | 17.0339 | 0.930662 | ||||||||
\(336\) | 20.4931 | 1.11799 | ||||||||
\(337\) | 13.2250 | 0.720413 | 0.360207 | − | 0.932873i | \(-0.382706\pi\) | ||||
0.360207 | + | 0.932873i | \(0.382706\pi\) | |||||||
\(338\) | 24.3818 | 1.32620 | ||||||||
\(339\) | 23.6682 | 1.28548 | ||||||||
\(340\) | −16.0855 | −0.872356 | ||||||||
\(341\) | −8.81982 | −0.477620 | ||||||||
\(342\) | 7.70494 | 0.416635 | ||||||||
\(343\) | −20.0064 | −1.08024 | ||||||||
\(344\) | 0.431167 | 0.0232470 | ||||||||
\(345\) | 60.2567 | 3.24411 | ||||||||
\(346\) | 1.59450 | 0.0857209 | ||||||||
\(347\) | 23.3255 | 1.25218 | 0.626089 | − | 0.779752i | \(-0.284655\pi\) | ||||
0.626089 | + | 0.779752i | \(0.284655\pi\) | |||||||
\(348\) | 1.20260 | 0.0644661 | ||||||||
\(349\) | 25.7753 | 1.37972 | 0.689860 | − | 0.723943i | \(-0.257672\pi\) | ||||
0.689860 | + | 0.723943i | \(0.257672\pi\) | |||||||
\(350\) | −33.8592 | −1.80985 | ||||||||
\(351\) | 1.87354 | 0.100002 | ||||||||
\(352\) | 8.03689 | 0.428367 | ||||||||
\(353\) | −12.2977 | −0.654542 | −0.327271 | − | 0.944930i | \(-0.606129\pi\) | ||||
−0.327271 | + | 0.944930i | \(0.606129\pi\) | |||||||
\(354\) | 67.3295 | 3.57852 | ||||||||
\(355\) | −4.68335 | −0.248566 | ||||||||
\(356\) | −19.9107 | −1.05527 | ||||||||
\(357\) | −11.7676 | −0.622808 | ||||||||
\(358\) | 1.63687 | 0.0865113 | ||||||||
\(359\) | 21.5225 | 1.13592 | 0.567958 | − | 0.823058i | \(-0.307734\pi\) | ||||
0.567958 | + | 0.823058i | \(0.307734\pi\) | |||||||
\(360\) | 0.598554 | 0.0315466 | ||||||||
\(361\) | −15.7044 | −0.826548 | ||||||||
\(362\) | 25.7591 | 1.35387 | ||||||||
\(363\) | −2.26087 | −0.118665 | ||||||||
\(364\) | 4.40258 | 0.230758 | ||||||||
\(365\) | 11.5249 | 0.603242 | ||||||||
\(366\) | 41.7285 | 2.18118 | ||||||||
\(367\) | −4.55110 | −0.237566 | −0.118783 | − | 0.992920i | \(-0.537899\pi\) | ||||
−0.118783 | + | 0.992920i | \(0.537899\pi\) | |||||||
\(368\) | −29.7965 | −1.55325 | ||||||||
\(369\) | −19.1119 | −0.994923 | ||||||||
\(370\) | −5.37635 | −0.279503 | ||||||||
\(371\) | 14.9469 | 0.776005 | ||||||||
\(372\) | 40.6834 | 2.10934 | ||||||||
\(373\) | −3.18621 | −0.164976 | −0.0824879 | − | 0.996592i | \(-0.526287\pi\) | ||||
−0.0824879 | + | 0.996592i | \(0.526287\pi\) | |||||||
\(374\) | −4.52207 | −0.233831 | ||||||||
\(375\) | 18.0729 | 0.933283 | ||||||||
\(376\) | 0.628545 | 0.0324147 | ||||||||
\(377\) | −0.243170 | −0.0125239 | ||||||||
\(378\) | −9.34110 | −0.480454 | ||||||||
\(379\) | −33.1587 | −1.70325 | −0.851624 | − | 0.524152i | \(-0.824382\pi\) | ||||
−0.851624 | + | 0.524152i | \(0.824382\pi\) | |||||||
\(380\) | 12.9798 | 0.665847 | ||||||||
\(381\) | −9.67871 | −0.495855 | ||||||||
\(382\) | −49.9703 | −2.55670 | ||||||||
\(383\) | −8.23616 | −0.420848 | −0.210424 | − | 0.977610i | \(-0.567484\pi\) | ||||
−0.210424 | + | 0.977610i | \(0.567484\pi\) | |||||||
\(384\) | −1.46273 | −0.0746447 | ||||||||
\(385\) | −8.10768 | −0.413206 | ||||||||
\(386\) | −16.4923 | −0.839436 | ||||||||
\(387\) | −11.2553 | −0.572139 | ||||||||
\(388\) | 7.04889 | 0.357853 | ||||||||
\(389\) | −5.75199 | −0.291638 | −0.145819 | − | 0.989311i | \(-0.546582\pi\) | ||||
−0.145819 | + | 0.989311i | \(0.546582\pi\) | |||||||
\(390\) | −14.8540 | −0.752162 | ||||||||
\(391\) | 17.1098 | 0.865281 | ||||||||
\(392\) | 0.133263 | 0.00673080 | ||||||||
\(393\) | −51.7275 | −2.60931 | ||||||||
\(394\) | −19.3774 | −0.976222 | ||||||||
\(395\) | 40.4916 | 2.03735 | ||||||||
\(396\) | 4.30805 | 0.216487 | ||||||||
\(397\) | −16.7872 | −0.842525 | −0.421263 | − | 0.906939i | \(-0.638413\pi\) | ||||
−0.421263 | + | 0.906939i | \(0.638413\pi\) | |||||||
\(398\) | −19.9480 | −0.999903 | ||||||||
\(399\) | 9.49557 | 0.475373 | ||||||||
\(400\) | −28.5264 | −1.42632 | ||||||||
\(401\) | 32.7393 | 1.63492 | 0.817461 | − | 0.575983i | \(-0.195381\pi\) | ||||
0.817461 | + | 0.575983i | \(0.195381\pi\) | |||||||
\(402\) | −22.0890 | −1.10170 | ||||||||
\(403\) | −8.22633 | −0.409783 | ||||||||
\(404\) | −4.52097 | −0.224927 | ||||||||
\(405\) | 38.1143 | 1.89391 | ||||||||
\(406\) | 1.21240 | 0.0601704 | ||||||||
\(407\) | −0.763248 | −0.0378328 | ||||||||
\(408\) | 0.411430 | 0.0203688 | ||||||||
\(409\) | −32.1549 | −1.58996 | −0.794978 | − | 0.606638i | \(-0.792518\pi\) | ||||
−0.794978 | + | 0.606638i | \(0.792518\pi\) | |||||||
\(410\) | −63.7567 | −3.14872 | ||||||||
\(411\) | 26.0950 | 1.28717 | ||||||||
\(412\) | 8.00355 | 0.394307 | ||||||||
\(413\) | 34.2772 | 1.68667 | ||||||||
\(414\) | −32.2785 | −1.58640 | ||||||||
\(415\) | 11.2572 | 0.552595 | ||||||||
\(416\) | 7.49608 | 0.367526 | ||||||||
\(417\) | 36.5669 | 1.79069 | ||||||||
\(418\) | 3.64897 | 0.178477 | ||||||||
\(419\) | 0.0347615 | 0.00169821 | 0.000849106 | − | 1.00000i | \(-0.499730\pi\) | ||||
0.000849106 | 1.00000i | \(0.499730\pi\) | ||||||||
\(420\) | 37.3985 | 1.82486 | ||||||||
\(421\) | −7.23701 | −0.352710 | −0.176355 | − | 0.984327i | \(-0.556431\pi\) | ||||
−0.176355 | + | 0.984327i | \(0.556431\pi\) | |||||||
\(422\) | −9.55225 | −0.464996 | ||||||||
\(423\) | −16.4077 | −0.797770 | ||||||||
\(424\) | −0.522588 | −0.0253791 | ||||||||
\(425\) | 16.3805 | 0.794572 | ||||||||
\(426\) | 6.07321 | 0.294248 | ||||||||
\(427\) | 21.2438 | 1.02806 | ||||||||
\(428\) | 3.62496 | 0.175219 | ||||||||
\(429\) | −2.10874 | −0.101811 | ||||||||
\(430\) | −37.5474 | −1.81070 | ||||||||
\(431\) | 0.508803 | 0.0245082 | 0.0122541 | − | 0.999925i | \(-0.496099\pi\) | ||||
0.0122541 | + | 0.999925i | \(0.496099\pi\) | |||||||
\(432\) | −7.86988 | −0.378640 | ||||||||
\(433\) | −3.32438 | −0.159760 | −0.0798798 | − | 0.996805i | \(-0.525454\pi\) | ||||
−0.0798798 | + | 0.996805i | \(0.525454\pi\) | |||||||
\(434\) | 41.0149 | 1.96878 | ||||||||
\(435\) | −2.06565 | −0.0990404 | ||||||||
\(436\) | 18.5037 | 0.886169 | ||||||||
\(437\) | −13.8063 | −0.660447 | ||||||||
\(438\) | −14.9451 | −0.714105 | ||||||||
\(439\) | 20.1137 | 0.959975 | 0.479988 | − | 0.877275i | \(-0.340641\pi\) | ||||
0.479988 | + | 0.877275i | \(0.340641\pi\) | |||||||
\(440\) | 0.283468 | 0.0135138 | ||||||||
\(441\) | −3.47873 | −0.165654 | ||||||||
\(442\) | −4.21778 | −0.200619 | ||||||||
\(443\) | 18.4878 | 0.878380 | 0.439190 | − | 0.898394i | \(-0.355265\pi\) | ||||
0.439190 | + | 0.898394i | \(0.355265\pi\) | |||||||
\(444\) | 3.52065 | 0.167083 | ||||||||
\(445\) | 34.1998 | 1.62123 | ||||||||
\(446\) | −49.6527 | −2.35113 | ||||||||
\(447\) | −39.7156 | −1.87848 | ||||||||
\(448\) | −19.2456 | −0.909268 | ||||||||
\(449\) | 6.95664 | 0.328304 | 0.164152 | − | 0.986435i | \(-0.447511\pi\) | ||||
0.164152 | + | 0.986435i | \(0.447511\pi\) | |||||||
\(450\) | −30.9027 | −1.45677 | ||||||||
\(451\) | −9.05116 | −0.426202 | ||||||||
\(452\) | −21.3585 | −1.00462 | ||||||||
\(453\) | −47.7717 | −2.24451 | ||||||||
\(454\) | −16.9283 | −0.794482 | ||||||||
\(455\) | −7.56211 | −0.354517 | ||||||||
\(456\) | −0.331993 | −0.0155470 | ||||||||
\(457\) | 12.3110 | 0.575885 | 0.287943 | − | 0.957648i | \(-0.407029\pi\) | ||||
0.287943 | + | 0.957648i | \(0.407029\pi\) | |||||||
\(458\) | 44.0748 | 2.05948 | ||||||||
\(459\) | 4.51907 | 0.210932 | ||||||||
\(460\) | −54.3765 | −2.53532 | ||||||||
\(461\) | 4.99936 | 0.232843 | 0.116422 | − | 0.993200i | \(-0.462858\pi\) | ||||
0.116422 | + | 0.993200i | \(0.462858\pi\) | |||||||
\(462\) | 10.5138 | 0.489145 | ||||||||
\(463\) | −24.0374 | −1.11711 | −0.558557 | − | 0.829466i | \(-0.688645\pi\) | ||||
−0.558557 | + | 0.829466i | \(0.688645\pi\) | |||||||
\(464\) | 1.02145 | 0.0474196 | ||||||||
\(465\) | −69.8801 | −3.24061 | ||||||||
\(466\) | −11.7009 | −0.542034 | ||||||||
\(467\) | 8.20936 | 0.379884 | 0.189942 | − | 0.981795i | \(-0.439170\pi\) | ||||
0.189942 | + | 0.981795i | \(0.439170\pi\) | |||||||
\(468\) | 4.01816 | 0.185739 | ||||||||
\(469\) | −11.2454 | −0.519265 | ||||||||
\(470\) | −54.7357 | −2.52477 | ||||||||
\(471\) | −46.1604 | −2.12696 | ||||||||
\(472\) | −1.19843 | −0.0551622 | ||||||||
\(473\) | −5.33038 | −0.245091 | ||||||||
\(474\) | −52.5081 | −2.41178 | ||||||||
\(475\) | −13.2179 | −0.606477 | ||||||||
\(476\) | 10.6193 | 0.486733 | ||||||||
\(477\) | 13.6418 | 0.624615 | ||||||||
\(478\) | −6.70200 | −0.306542 | ||||||||
\(479\) | −18.6176 | −0.850660 | −0.425330 | − | 0.905038i | \(-0.639842\pi\) | ||||
−0.425330 | + | 0.905038i | \(0.639842\pi\) | |||||||
\(480\) | 63.6768 | 2.90644 | ||||||||
\(481\) | −0.711889 | −0.0324593 | ||||||||
\(482\) | 51.8472 | 2.36158 | ||||||||
\(483\) | −39.7801 | −1.81006 | ||||||||
\(484\) | 2.04024 | 0.0927383 | ||||||||
\(485\) | −12.1076 | −0.549776 | ||||||||
\(486\) | −37.3126 | −1.69254 | ||||||||
\(487\) | −4.37826 | −0.198398 | −0.0991990 | − | 0.995068i | \(-0.531628\pi\) | ||||
−0.0991990 | + | 0.995068i | \(0.531628\pi\) | |||||||
\(488\) | −0.742745 | −0.0336225 | ||||||||
\(489\) | 44.5065 | 2.01266 | ||||||||
\(490\) | −11.6050 | −0.524259 | ||||||||
\(491\) | −1.71768 | −0.0775178 | −0.0387589 | − | 0.999249i | \(-0.512340\pi\) | ||||
−0.0387589 | + | 0.999249i | \(0.512340\pi\) | |||||||
\(492\) | 41.7505 | 1.88226 | ||||||||
\(493\) | −0.586540 | −0.0264164 | ||||||||
\(494\) | 3.40343 | 0.153128 | ||||||||
\(495\) | −7.39974 | −0.332593 | ||||||||
\(496\) | 34.5551 | 1.55157 | ||||||||
\(497\) | 3.09184 | 0.138688 | ||||||||
\(498\) | −14.5980 | −0.654151 | ||||||||
\(499\) | 23.6332 | 1.05797 | 0.528983 | − | 0.848633i | \(-0.322574\pi\) | ||||
0.528983 | + | 0.848633i | \(0.322574\pi\) | |||||||
\(500\) | −16.3093 | −0.729373 | ||||||||
\(501\) | −31.1034 | −1.38960 | ||||||||
\(502\) | 35.1530 | 1.56895 | ||||||||
\(503\) | −40.5158 | −1.80651 | −0.903256 | − | 0.429102i | \(-0.858830\pi\) | ||||
−0.903256 | + | 0.429102i | \(0.858830\pi\) | |||||||
\(504\) | −0.395152 | −0.0176015 | ||||||||
\(505\) | 7.76548 | 0.345559 | ||||||||
\(506\) | −15.2868 | −0.679579 | ||||||||
\(507\) | 27.4245 | 1.21796 | ||||||||
\(508\) | 8.73420 | 0.387518 | ||||||||
\(509\) | 16.3939 | 0.726647 | 0.363324 | − | 0.931663i | \(-0.381642\pi\) | ||||
0.363324 | + | 0.931663i | \(0.381642\pi\) | |||||||
\(510\) | −35.8287 | −1.58652 | ||||||||
\(511\) | −7.60849 | −0.336580 | ||||||||
\(512\) | −32.1215 | −1.41958 | ||||||||
\(513\) | −3.64655 | −0.160999 | ||||||||
\(514\) | 30.5557 | 1.34775 | ||||||||
\(515\) | −13.7473 | −0.605780 | ||||||||
\(516\) | 24.5876 | 1.08241 | ||||||||
\(517\) | −7.77051 | −0.341747 | ||||||||
\(518\) | 3.54934 | 0.155949 | ||||||||
\(519\) | 1.79348 | 0.0787251 | ||||||||
\(520\) | 0.264394 | 0.0115944 | ||||||||
\(521\) | 30.5139 | 1.33684 | 0.668420 | − | 0.743784i | \(-0.266971\pi\) | ||||
0.668420 | + | 0.743784i | \(0.266971\pi\) | |||||||
\(522\) | 1.10654 | 0.0484318 | ||||||||
\(523\) | 19.4440 | 0.850225 | 0.425113 | − | 0.905140i | \(-0.360234\pi\) | ||||
0.425113 | + | 0.905140i | \(0.360234\pi\) | |||||||
\(524\) | 46.6797 | 2.03921 | ||||||||
\(525\) | −38.0845 | −1.66215 | ||||||||
\(526\) | 15.3233 | 0.668130 | ||||||||
\(527\) | −19.8424 | −0.864347 | ||||||||
\(528\) | 8.85786 | 0.385489 | ||||||||
\(529\) | 34.8394 | 1.51476 | ||||||||
\(530\) | 45.5087 | 1.97677 | ||||||||
\(531\) | 31.2842 | 1.35762 | ||||||||
\(532\) | −8.56894 | −0.371511 | ||||||||
\(533\) | −8.44210 | −0.365668 | ||||||||
\(534\) | −44.3491 | −1.91917 | ||||||||
\(535\) | −6.22644 | −0.269192 | ||||||||
\(536\) | 0.393173 | 0.0169825 | ||||||||
\(537\) | 1.84114 | 0.0794510 | ||||||||
\(538\) | −34.5339 | −1.48886 | ||||||||
\(539\) | −1.64749 | −0.0709624 | ||||||||
\(540\) | −14.3620 | −0.618042 | ||||||||
\(541\) | −7.86025 | −0.337939 | −0.168969 | − | 0.985621i | \(-0.554044\pi\) | ||||
−0.168969 | + | 0.985621i | \(0.554044\pi\) | |||||||
\(542\) | 34.5628 | 1.48460 | ||||||||
\(543\) | 28.9737 | 1.24338 | ||||||||
\(544\) | 18.0810 | 0.775215 | ||||||||
\(545\) | −31.7831 | −1.36144 | ||||||||
\(546\) | 9.80629 | 0.419670 | ||||||||
\(547\) | 1.00000 | 0.0427569 | ||||||||
\(548\) | −23.5485 | −1.00594 | ||||||||
\(549\) | 19.3888 | 0.827495 | ||||||||
\(550\) | −14.6352 | −0.624046 | ||||||||
\(551\) | 0.473293 | 0.0201630 | ||||||||
\(552\) | 1.39083 | 0.0591977 | ||||||||
\(553\) | −26.7316 | −1.13675 | ||||||||
\(554\) | −14.6131 | −0.620851 | ||||||||
\(555\) | −6.04727 | −0.256692 | ||||||||
\(556\) | −32.9985 | −1.39945 | ||||||||
\(557\) | 20.2622 | 0.858535 | 0.429268 | − | 0.903177i | \(-0.358772\pi\) | ||||
0.429268 | + | 0.903177i | \(0.358772\pi\) | |||||||
\(558\) | 37.4336 | 1.58469 | ||||||||
\(559\) | −4.97170 | −0.210281 | ||||||||
\(560\) | 31.7650 | 1.34232 | ||||||||
\(561\) | −5.08639 | −0.214747 | ||||||||
\(562\) | −56.2975 | −2.37477 | ||||||||
\(563\) | 28.9996 | 1.22219 | 0.611093 | − | 0.791559i | \(-0.290730\pi\) | ||||
0.611093 | + | 0.791559i | \(0.290730\pi\) | |||||||
\(564\) | 35.8432 | 1.50927 | ||||||||
\(565\) | 36.6865 | 1.54341 | ||||||||
\(566\) | 8.05490 | 0.338573 | ||||||||
\(567\) | −25.1622 | −1.05671 | ||||||||
\(568\) | −0.108100 | −0.00453577 | ||||||||
\(569\) | −19.8095 | −0.830458 | −0.415229 | − | 0.909717i | \(-0.636299\pi\) | ||||
−0.415229 | + | 0.909717i | \(0.636299\pi\) | |||||||
\(570\) | 28.9111 | 1.21095 | ||||||||
\(571\) | −20.9861 | −0.878240 | −0.439120 | − | 0.898428i | \(-0.644710\pi\) | ||||
−0.439120 | + | 0.898428i | \(0.644710\pi\) | |||||||
\(572\) | 1.90295 | 0.0795665 | ||||||||
\(573\) | −56.2062 | −2.34805 | ||||||||
\(574\) | 42.0908 | 1.75683 | ||||||||
\(575\) | 55.3740 | 2.30926 | ||||||||
\(576\) | −17.5651 | −0.731879 | ||||||||
\(577\) | −37.8828 | −1.57708 | −0.788541 | − | 0.614982i | \(-0.789163\pi\) | ||||
−0.788541 | + | 0.614982i | \(0.789163\pi\) | |||||||
\(578\) | 23.9971 | 0.998147 | ||||||||
\(579\) | −18.5504 | −0.770929 | ||||||||
\(580\) | 1.86407 | 0.0774015 | ||||||||
\(581\) | −7.43176 | −0.308321 | ||||||||
\(582\) | 15.7007 | 0.650814 | ||||||||
\(583\) | 6.46060 | 0.267571 | ||||||||
\(584\) | 0.266015 | 0.0110078 | ||||||||
\(585\) | −6.90181 | −0.285355 | ||||||||
\(586\) | 50.5698 | 2.08902 | ||||||||
\(587\) | −29.8032 | −1.23011 | −0.615055 | − | 0.788484i | \(-0.710866\pi\) | ||||
−0.615055 | + | 0.788484i | \(0.710866\pi\) | |||||||
\(588\) | 7.59942 | 0.313395 | ||||||||
\(589\) | 16.0113 | 0.659734 | ||||||||
\(590\) | 104.363 | 4.29657 | ||||||||
\(591\) | −21.7956 | −0.896551 | ||||||||
\(592\) | 2.99033 | 0.122902 | ||||||||
\(593\) | −37.2265 | −1.52871 | −0.764355 | − | 0.644796i | \(-0.776942\pi\) | ||||
−0.764355 | + | 0.644796i | \(0.776942\pi\) | |||||||
\(594\) | −4.03756 | −0.165663 | ||||||||
\(595\) | −18.2402 | −0.747776 | ||||||||
\(596\) | 35.8399 | 1.46806 | ||||||||
\(597\) | −22.4374 | −0.918300 | ||||||||
\(598\) | −14.2581 | −0.583057 | ||||||||
\(599\) | 28.4562 | 1.16269 | 0.581345 | − | 0.813657i | \(-0.302527\pi\) | ||||
0.581345 | + | 0.813657i | \(0.302527\pi\) | |||||||
\(600\) | 1.33155 | 0.0543602 | ||||||||
\(601\) | −10.1810 | −0.415291 | −0.207646 | − | 0.978204i | \(-0.566580\pi\) | ||||
−0.207646 | + | 0.978204i | \(0.566580\pi\) | |||||||
\(602\) | 24.7880 | 1.01028 | ||||||||
\(603\) | −10.2635 | −0.417962 | ||||||||
\(604\) | 43.1099 | 1.75412 | ||||||||
\(605\) | −3.50443 | −0.142475 | ||||||||
\(606\) | −10.0700 | −0.409066 | ||||||||
\(607\) | −18.1655 | −0.737316 | −0.368658 | − | 0.929565i | \(-0.620183\pi\) | ||||
−0.368658 | + | 0.929565i | \(0.620183\pi\) | |||||||
\(608\) | −14.5900 | −0.591702 | ||||||||
\(609\) | 1.36370 | 0.0552598 | ||||||||
\(610\) | 64.6807 | 2.61884 | ||||||||
\(611\) | −7.24763 | −0.293208 | ||||||||
\(612\) | 9.69201 | 0.391776 | ||||||||
\(613\) | 10.9672 | 0.442961 | 0.221480 | − | 0.975165i | \(-0.428911\pi\) | ||||
0.221480 | + | 0.975165i | \(0.428911\pi\) | |||||||
\(614\) | 64.7895 | 2.61469 | ||||||||
\(615\) | −71.7130 | −2.89175 | ||||||||
\(616\) | −0.187140 | −0.00754007 | ||||||||
\(617\) | −33.4979 | −1.34858 | −0.674288 | − | 0.738469i | \(-0.735549\pi\) | ||||
−0.674288 | + | 0.738469i | \(0.735549\pi\) | |||||||
\(618\) | 17.8271 | 0.717111 | ||||||||
\(619\) | −26.8222 | −1.07808 | −0.539038 | − | 0.842282i | \(-0.681212\pi\) | ||||
−0.539038 | + | 0.842282i | \(0.681212\pi\) | |||||||
\(620\) | 63.0608 | 2.53258 | ||||||||
\(621\) | 15.2766 | 0.613030 | ||||||||
\(622\) | −2.69437 | −0.108035 | ||||||||
\(623\) | −22.5779 | −0.904566 | ||||||||
\(624\) | 8.26181 | 0.330737 | ||||||||
\(625\) | −8.39153 | −0.335661 | ||||||||
\(626\) | −54.7237 | −2.18720 | ||||||||
\(627\) | 4.10433 | 0.163911 | ||||||||
\(628\) | 41.6558 | 1.66225 | ||||||||
\(629\) | −1.71712 | −0.0684659 | ||||||||
\(630\) | 34.4111 | 1.37097 | ||||||||
\(631\) | −37.7397 | −1.50239 | −0.751196 | − | 0.660079i | \(-0.770523\pi\) | ||||
−0.751196 | + | 0.660079i | \(0.770523\pi\) | |||||||
\(632\) | 0.934617 | 0.0371771 | ||||||||
\(633\) | −10.7443 | −0.427047 | ||||||||
\(634\) | 57.4987 | 2.28357 | ||||||||
\(635\) | −15.0024 | −0.595350 | ||||||||
\(636\) | −29.8010 | −1.18169 | ||||||||
\(637\) | −1.53663 | −0.0608835 | ||||||||
\(638\) | 0.524043 | 0.0207471 | ||||||||
\(639\) | 2.82187 | 0.111631 | ||||||||
\(640\) | −2.26729 | −0.0896224 | ||||||||
\(641\) | −15.7515 | −0.622146 | −0.311073 | − | 0.950386i | \(-0.600688\pi\) | ||||
−0.311073 | + | 0.950386i | \(0.600688\pi\) | |||||||
\(642\) | 8.07424 | 0.318665 | ||||||||
\(643\) | 13.4623 | 0.530903 | 0.265451 | − | 0.964124i | \(-0.414479\pi\) | ||||
0.265451 | + | 0.964124i | \(0.414479\pi\) | |||||||
\(644\) | 35.8982 | 1.41459 | ||||||||
\(645\) | −42.2330 | −1.66292 | ||||||||
\(646\) | 8.20926 | 0.322989 | ||||||||
\(647\) | −39.5673 | −1.55555 | −0.777776 | − | 0.628541i | \(-0.783652\pi\) | ||||
−0.777776 | + | 0.628541i | \(0.783652\pi\) | |||||||
\(648\) | 0.879745 | 0.0345597 | ||||||||
\(649\) | 14.8158 | 0.581572 | ||||||||
\(650\) | −13.6504 | −0.535411 | ||||||||
\(651\) | 46.1333 | 1.80811 | ||||||||
\(652\) | −40.1633 | −1.57292 | ||||||||
\(653\) | −33.8280 | −1.32379 | −0.661895 | − | 0.749596i | \(-0.730248\pi\) | ||||
−0.661895 | + | 0.749596i | \(0.730248\pi\) | |||||||
\(654\) | 41.2152 | 1.61164 | ||||||||
\(655\) | −80.1796 | −3.13288 | ||||||||
\(656\) | 35.4615 | 1.38454 | ||||||||
\(657\) | −6.94414 | −0.270917 | ||||||||
\(658\) | 36.1353 | 1.40870 | ||||||||
\(659\) | 29.7582 | 1.15922 | 0.579608 | − | 0.814896i | \(-0.303206\pi\) | ||||
0.579608 | + | 0.814896i | \(0.303206\pi\) | |||||||
\(660\) | 16.1650 | 0.629221 | ||||||||
\(661\) | 33.7638 | 1.31326 | 0.656630 | − | 0.754213i | \(-0.271981\pi\) | ||||
0.656630 | + | 0.754213i | \(0.271981\pi\) | |||||||
\(662\) | −28.4041 | −1.10395 | ||||||||
\(663\) | −4.74412 | −0.184246 | ||||||||
\(664\) | 0.259836 | 0.0100836 | ||||||||
\(665\) | 14.7185 | 0.570759 | ||||||||
\(666\) | 3.23942 | 0.125525 | ||||||||
\(667\) | −1.98278 | −0.0767737 | ||||||||
\(668\) | 28.0681 | 1.08599 | ||||||||
\(669\) | −55.8490 | −2.15925 | ||||||||
\(670\) | −34.2388 | −1.32276 | ||||||||
\(671\) | 9.18233 | 0.354480 | ||||||||
\(672\) | −42.0380 | −1.62165 | ||||||||
\(673\) | −5.13330 | −0.197874 | −0.0989372 | − | 0.995094i | \(-0.531544\pi\) | ||||
−0.0989372 | + | 0.995094i | \(0.531544\pi\) | |||||||
\(674\) | −26.5828 | −1.02393 | ||||||||
\(675\) | 14.6255 | 0.562934 | ||||||||
\(676\) | −24.7482 | −0.951856 | ||||||||
\(677\) | −22.0451 | −0.847260 | −0.423630 | − | 0.905835i | \(-0.639244\pi\) | ||||
−0.423630 | + | 0.905835i | \(0.639244\pi\) | |||||||
\(678\) | −47.5738 | −1.82706 | ||||||||
\(679\) | 7.99314 | 0.306749 | ||||||||
\(680\) | 0.637732 | 0.0244559 | ||||||||
\(681\) | −19.0408 | −0.729643 | ||||||||
\(682\) | 17.7282 | 0.678846 | ||||||||
\(683\) | −26.6671 | −1.02039 | −0.510194 | − | 0.860060i | \(-0.670426\pi\) | ||||
−0.510194 | + | 0.860060i | \(0.670426\pi\) | |||||||
\(684\) | −7.82073 | −0.299033 | ||||||||
\(685\) | 40.4482 | 1.54544 | ||||||||
\(686\) | 40.2136 | 1.53536 | ||||||||
\(687\) | 49.5750 | 1.89140 | ||||||||
\(688\) | 20.8839 | 0.796191 | ||||||||
\(689\) | 6.02587 | 0.229567 | ||||||||
\(690\) | −121.118 | −4.61089 | ||||||||
\(691\) | −0.838822 | −0.0319103 | −0.0159551 | − | 0.999873i | \(-0.505079\pi\) | ||||
−0.0159551 | + | 0.999873i | \(0.505079\pi\) | |||||||
\(692\) | −1.61846 | −0.0615247 | ||||||||
\(693\) | 4.88514 | 0.185571 | ||||||||
\(694\) | −46.8851 | −1.77973 | ||||||||
\(695\) | 56.6800 | 2.15000 | ||||||||
\(696\) | −0.0476789 | −0.00180726 | ||||||||
\(697\) | −20.3628 | −0.771297 | ||||||||
\(698\) | −51.8092 | −1.96101 | ||||||||
\(699\) | −13.1611 | −0.497798 | ||||||||
\(700\) | 34.3680 | 1.29899 | ||||||||
\(701\) | 7.29645 | 0.275583 | 0.137792 | − | 0.990461i | \(-0.456000\pi\) | ||||
0.137792 | + | 0.990461i | \(0.456000\pi\) | |||||||
\(702\) | −3.76587 | −0.142134 | ||||||||
\(703\) | 1.38558 | 0.0522582 | ||||||||
\(704\) | −8.31863 | −0.313520 | ||||||||
\(705\) | −61.5663 | −2.31872 | ||||||||
\(706\) | 24.7189 | 0.930307 | ||||||||
\(707\) | −5.12660 | −0.192805 | ||||||||
\(708\) | −68.3413 | −2.56842 | ||||||||
\(709\) | −1.90352 | −0.0714881 | −0.0357441 | − | 0.999361i | \(-0.511380\pi\) | ||||
−0.0357441 | + | 0.999361i | \(0.511380\pi\) | |||||||
\(710\) | 9.41370 | 0.353290 | ||||||||
\(711\) | −24.3975 | −0.914978 | ||||||||
\(712\) | 0.789392 | 0.0295837 | ||||||||
\(713\) | −67.0767 | −2.51204 | ||||||||
\(714\) | 23.6533 | 0.885203 | ||||||||
\(715\) | −3.26862 | −0.122239 | ||||||||
\(716\) | −1.66147 | −0.0620920 | ||||||||
\(717\) | −7.53836 | −0.281525 | ||||||||
\(718\) | −43.2610 | −1.61449 | ||||||||
\(719\) | 38.5890 | 1.43913 | 0.719564 | − | 0.694426i | \(-0.244342\pi\) | ||||
0.719564 | + | 0.694426i | \(0.244342\pi\) | |||||||
\(720\) | 28.9914 | 1.08045 | ||||||||
\(721\) | 9.07569 | 0.337996 | ||||||||
\(722\) | 31.5664 | 1.17478 | ||||||||
\(723\) | 58.3173 | 2.16884 | ||||||||
\(724\) | −26.1462 | −0.971718 | ||||||||
\(725\) | −1.89827 | −0.0704999 | ||||||||
\(726\) | 4.54443 | 0.168660 | ||||||||
\(727\) | −13.8078 | −0.512104 | −0.256052 | − | 0.966663i | \(-0.582422\pi\) | ||||
−0.256052 | + | 0.966663i | \(0.582422\pi\) | |||||||
\(728\) | −0.174547 | −0.00646914 | ||||||||
\(729\) | −9.34087 | −0.345958 | ||||||||
\(730\) | −23.1655 | −0.857393 | ||||||||
\(731\) | −11.9920 | −0.443541 | ||||||||
\(732\) | −42.3556 | −1.56551 | ||||||||
\(733\) | 1.29045 | 0.0476640 | 0.0238320 | − | 0.999716i | \(-0.492413\pi\) | ||||
0.0238320 | + | 0.999716i | \(0.492413\pi\) | |||||||
\(734\) | 9.14788 | 0.337654 | ||||||||
\(735\) | −13.0532 | −0.481474 | ||||||||
\(736\) | 61.1223 | 2.25300 | ||||||||
\(737\) | −4.86067 | −0.179045 | ||||||||
\(738\) | 38.4155 | 1.41409 | ||||||||
\(739\) | −23.9818 | −0.882184 | −0.441092 | − | 0.897462i | \(-0.645409\pi\) | ||||
−0.441092 | + | 0.897462i | \(0.645409\pi\) | |||||||
\(740\) | 5.45714 | 0.200609 | ||||||||
\(741\) | 3.82815 | 0.140631 | ||||||||
\(742\) | −30.0438 | −1.10294 | ||||||||
\(743\) | −11.1566 | −0.409297 | −0.204648 | − | 0.978836i | \(-0.565605\pi\) | ||||
−0.204648 | + | 0.978836i | \(0.565605\pi\) | |||||||
\(744\) | −1.61296 | −0.0591338 | ||||||||
\(745\) | −61.5607 | −2.25541 | ||||||||
\(746\) | 6.40440 | 0.234482 | ||||||||
\(747\) | −6.78284 | −0.248171 | ||||||||
\(748\) | 4.59003 | 0.167828 | ||||||||
\(749\) | 4.11056 | 0.150197 | ||||||||
\(750\) | −36.3273 | −1.32648 | ||||||||
\(751\) | −44.7928 | −1.63451 | −0.817257 | − | 0.576274i | \(-0.804506\pi\) | ||||
−0.817257 | + | 0.576274i | \(0.804506\pi\) | |||||||
\(752\) | 30.4440 | 1.11018 | ||||||||
\(753\) | 39.5397 | 1.44091 | ||||||||
\(754\) | 0.488780 | 0.0178003 | ||||||||
\(755\) | −74.0480 | −2.69488 | ||||||||
\(756\) | 9.48148 | 0.344838 | ||||||||
\(757\) | 4.87549 | 0.177203 | 0.0886013 | − | 0.996067i | \(-0.471760\pi\) | ||||
0.0886013 | + | 0.996067i | \(0.471760\pi\) | |||||||
\(758\) | 66.6502 | 2.42084 | ||||||||
\(759\) | −17.1944 | −0.624118 | ||||||||
\(760\) | −0.514602 | −0.0186666 | ||||||||
\(761\) | 19.3458 | 0.701283 | 0.350642 | − | 0.936510i | \(-0.385964\pi\) | ||||
0.350642 | + | 0.936510i | \(0.385964\pi\) | |||||||
\(762\) | 19.4545 | 0.704764 | ||||||||
\(763\) | 20.9825 | 0.759617 | ||||||||
\(764\) | 50.7213 | 1.83503 | ||||||||
\(765\) | −16.6475 | −0.601893 | ||||||||
\(766\) | 16.5550 | 0.598155 | ||||||||
\(767\) | 13.8189 | 0.498970 | ||||||||
\(768\) | −34.6746 | −1.25121 | ||||||||
\(769\) | 33.5037 | 1.20817 | 0.604087 | − | 0.796918i | \(-0.293538\pi\) | ||||
0.604087 | + | 0.796918i | \(0.293538\pi\) | |||||||
\(770\) | 16.2967 | 0.587293 | ||||||||
\(771\) | 34.3688 | 1.23776 | ||||||||
\(772\) | 16.7402 | 0.602491 | ||||||||
\(773\) | −16.0251 | −0.576384 | −0.288192 | − | 0.957573i | \(-0.593054\pi\) | ||||
−0.288192 | + | 0.957573i | \(0.593054\pi\) | |||||||
\(774\) | 22.6235 | 0.813187 | ||||||||
\(775\) | −64.2176 | −2.30676 | ||||||||
\(776\) | −0.279464 | −0.0100322 | ||||||||
\(777\) | 3.99227 | 0.143222 | ||||||||
\(778\) | 11.5617 | 0.414508 | ||||||||
\(779\) | 16.4313 | 0.588711 | ||||||||
\(780\) | 15.0772 | 0.539852 | ||||||||
\(781\) | 1.33641 | 0.0478204 | ||||||||
\(782\) | −34.3913 | −1.22983 | ||||||||
\(783\) | −0.523696 | −0.0187154 | ||||||||
\(784\) | 6.45469 | 0.230525 | ||||||||
\(785\) | −71.5503 | −2.55374 | ||||||||
\(786\) | 103.974 | 3.70864 | ||||||||
\(787\) | 36.8159 | 1.31235 | 0.656173 | − | 0.754610i | \(-0.272174\pi\) | ||||
0.656173 | + | 0.754610i | \(0.272174\pi\) | |||||||
\(788\) | 19.6687 | 0.700667 | ||||||||
\(789\) | 17.2356 | 0.613603 | ||||||||
\(790\) | −81.3895 | −2.89571 | ||||||||
\(791\) | −24.2196 | −0.861151 | ||||||||
\(792\) | −0.170799 | −0.00606908 | ||||||||
\(793\) | 8.56445 | 0.304132 | ||||||||
\(794\) | 33.7429 | 1.19749 | ||||||||
\(795\) | 51.1878 | 1.81544 | ||||||||
\(796\) | 20.2478 | 0.717664 | ||||||||
\(797\) | −48.2904 | −1.71053 | −0.855266 | − | 0.518189i | \(-0.826606\pi\) | ||||
−0.855266 | + | 0.518189i | \(0.826606\pi\) | |||||||
\(798\) | −19.0864 | −0.675653 | ||||||||
\(799\) | −17.4817 | −0.618457 | ||||||||
\(800\) | 58.5170 | 2.06889 | ||||||||
\(801\) | −20.6065 | −0.728095 | ||||||||
\(802\) | −65.8072 | −2.32373 | ||||||||
\(803\) | −3.28867 | −0.116055 | ||||||||
\(804\) | 22.4209 | 0.790726 | ||||||||
\(805\) | −61.6607 | −2.17325 | ||||||||
\(806\) | 16.5352 | 0.582428 | ||||||||
\(807\) | −38.8434 | −1.36735 | ||||||||
\(808\) | 0.179241 | 0.00630567 | ||||||||
\(809\) | 34.5397 | 1.21435 | 0.607175 | − | 0.794568i | \(-0.292303\pi\) | ||||
0.607175 | + | 0.794568i | \(0.292303\pi\) | |||||||
\(810\) | −76.6111 | −2.69184 | ||||||||
\(811\) | −50.5894 | −1.77643 | −0.888217 | − | 0.459424i | \(-0.848056\pi\) | ||||
−0.888217 | + | 0.459424i | \(0.848056\pi\) | |||||||
\(812\) | −1.23062 | −0.0431863 | ||||||||
\(813\) | 38.8759 | 1.36344 | ||||||||
\(814\) | 1.53416 | 0.0537721 | ||||||||
\(815\) | 68.9868 | 2.41650 | ||||||||
\(816\) | 19.9279 | 0.697617 | ||||||||
\(817\) | 9.67666 | 0.338543 | ||||||||
\(818\) | 64.6324 | 2.25982 | ||||||||
\(819\) | 4.55642 | 0.159214 | ||||||||
\(820\) | 64.7148 | 2.25994 | ||||||||
\(821\) | −41.1509 | −1.43618 | −0.718088 | − | 0.695952i | \(-0.754982\pi\) | ||||
−0.718088 | + | 0.695952i | \(0.754982\pi\) | |||||||
\(822\) | −52.4518 | −1.82947 | ||||||||
\(823\) | 22.8544 | 0.796653 | 0.398326 | − | 0.917244i | \(-0.369591\pi\) | ||||
0.398326 | + | 0.917244i | \(0.369591\pi\) | |||||||
\(824\) | −0.317313 | −0.0110541 | ||||||||
\(825\) | −16.4615 | −0.573117 | ||||||||
\(826\) | −68.8983 | −2.39728 | ||||||||
\(827\) | 31.1659 | 1.08374 | 0.541872 | − | 0.840461i | \(-0.317716\pi\) | ||||
0.541872 | + | 0.840461i | \(0.317716\pi\) | |||||||
\(828\) | 32.7636 | 1.13861 | ||||||||
\(829\) | 33.9754 | 1.18001 | 0.590006 | − | 0.807399i | \(-0.299125\pi\) | ||||
0.590006 | + | 0.807399i | \(0.299125\pi\) | |||||||
\(830\) | −22.6274 | −0.785408 | ||||||||
\(831\) | −16.4367 | −0.570182 | ||||||||
\(832\) | −7.75887 | −0.268990 | ||||||||
\(833\) | −3.70644 | −0.128420 | ||||||||
\(834\) | −73.5007 | −2.54512 | ||||||||
\(835\) | −48.2114 | −1.66842 | ||||||||
\(836\) | −3.70381 | −0.128099 | ||||||||
\(837\) | −17.7164 | −0.612368 | ||||||||
\(838\) | −0.0698719 | −0.00241368 | ||||||||
\(839\) | −35.8235 | −1.23677 | −0.618383 | − | 0.785877i | \(-0.712212\pi\) | ||||
−0.618383 | + | 0.785877i | \(0.712212\pi\) | |||||||
\(840\) | −1.48272 | −0.0511587 | ||||||||
\(841\) | −28.9320 | −0.997656 | ||||||||
\(842\) | 14.5467 | 0.501311 | ||||||||
\(843\) | −63.3230 | −2.18096 | ||||||||
\(844\) | 9.69580 | 0.333743 | ||||||||
\(845\) | 42.5090 | 1.46235 | ||||||||
\(846\) | 32.9801 | 1.13388 | ||||||||
\(847\) | 2.31355 | 0.0794945 | ||||||||
\(848\) | −25.3120 | −0.869217 | ||||||||
\(849\) | 9.06008 | 0.310941 | ||||||||
\(850\) | −32.9254 | −1.12933 | ||||||||
\(851\) | −5.80467 | −0.198981 | ||||||||
\(852\) | −6.16448 | −0.211191 | ||||||||
\(853\) | 33.4260 | 1.14448 | 0.572242 | − | 0.820085i | \(-0.306074\pi\) | ||||
0.572242 | + | 0.820085i | \(0.306074\pi\) | |||||||
\(854\) | −42.7007 | −1.46119 | ||||||||
\(855\) | 13.4333 | 0.459410 | ||||||||
\(856\) | −0.143717 | −0.00491215 | ||||||||
\(857\) | 30.5860 | 1.04480 | 0.522400 | − | 0.852701i | \(-0.325037\pi\) | ||||
0.522400 | + | 0.852701i | \(0.325037\pi\) | |||||||
\(858\) | 4.23863 | 0.144705 | ||||||||
\(859\) | 49.5233 | 1.68971 | 0.844856 | − | 0.534994i | \(-0.179686\pi\) | ||||
0.844856 | + | 0.534994i | \(0.179686\pi\) | |||||||
\(860\) | 38.1117 | 1.29960 | ||||||||
\(861\) | 47.3433 | 1.61346 | ||||||||
\(862\) | −1.02271 | −0.0348337 | ||||||||
\(863\) | 18.0332 | 0.613856 | 0.306928 | − | 0.951733i | \(-0.400699\pi\) | ||||
0.306928 | + | 0.951733i | \(0.400699\pi\) | |||||||
\(864\) | 16.1437 | 0.549220 | ||||||||
\(865\) | 2.77996 | 0.0945215 | ||||||||
\(866\) | 6.68212 | 0.227068 | ||||||||
\(867\) | 26.9917 | 0.916687 | ||||||||
\(868\) | −41.6313 | −1.41306 | ||||||||
\(869\) | −11.5544 | −0.391956 | ||||||||
\(870\) | 4.15203 | 0.140767 | ||||||||
\(871\) | −4.53360 | −0.153615 | ||||||||
\(872\) | −0.733609 | −0.0248431 | ||||||||
\(873\) | 7.29520 | 0.246905 | ||||||||
\(874\) | 27.7512 | 0.938699 | ||||||||
\(875\) | −18.4940 | −0.625213 | ||||||||
\(876\) | 15.1697 | 0.512537 | ||||||||
\(877\) | 43.1678 | 1.45767 | 0.728836 | − | 0.684689i | \(-0.240062\pi\) | ||||
0.728836 | + | 0.684689i | \(0.240062\pi\) | |||||||
\(878\) | −40.4293 | −1.36442 | ||||||||
\(879\) | 56.8804 | 1.91853 | ||||||||
\(880\) | 13.7300 | 0.462838 | ||||||||
\(881\) | −4.14944 | −0.139798 | −0.0698991 | − | 0.997554i | \(-0.522268\pi\) | ||||
−0.0698991 | + | 0.997554i | \(0.522268\pi\) | |||||||
\(882\) | 6.99238 | 0.235446 | ||||||||
\(883\) | −36.2827 | −1.22101 | −0.610505 | − | 0.792013i | \(-0.709033\pi\) | ||||
−0.610505 | + | 0.792013i | \(0.709033\pi\) | |||||||
\(884\) | 4.28116 | 0.143991 | ||||||||
\(885\) | 117.387 | 3.94592 | ||||||||
\(886\) | −37.1611 | −1.24845 | ||||||||
\(887\) | −31.6444 | −1.06252 | −0.531258 | − | 0.847210i | \(-0.678280\pi\) | ||||
−0.531258 | + | 0.847210i | \(0.678280\pi\) | |||||||
\(888\) | −0.139582 | −0.00468405 | ||||||||
\(889\) | 9.90422 | 0.332177 | ||||||||
\(890\) | −68.7428 | −2.30426 | ||||||||
\(891\) | −10.8760 | −0.364360 | ||||||||
\(892\) | 50.3989 | 1.68748 | ||||||||
\(893\) | 14.1064 | 0.472053 | ||||||||
\(894\) | 79.8298 | 2.66991 | ||||||||
\(895\) | 2.85383 | 0.0953931 | ||||||||
\(896\) | 1.49681 | 0.0500050 | ||||||||
\(897\) | −16.0374 | −0.535473 | ||||||||
\(898\) | −13.9831 | −0.466622 | ||||||||
\(899\) | 2.29945 | 0.0766908 | ||||||||
\(900\) | 31.3671 | 1.04557 | ||||||||
\(901\) | 14.5347 | 0.484222 | ||||||||
\(902\) | 18.1932 | 0.605766 | ||||||||
\(903\) | 27.8813 | 0.927831 | ||||||||
\(904\) | 0.846789 | 0.0281638 | ||||||||
\(905\) | 44.9102 | 1.49287 | ||||||||
\(906\) | 96.0229 | 3.19015 | ||||||||
\(907\) | 27.4863 | 0.912667 | 0.456333 | − | 0.889809i | \(-0.349162\pi\) | ||||
0.456333 | + | 0.889809i | \(0.349162\pi\) | |||||||
\(908\) | 17.1827 | 0.570226 | ||||||||
\(909\) | −4.67895 | −0.155191 | ||||||||
\(910\) | 15.2001 | 0.503879 | ||||||||
\(911\) | 16.3125 | 0.540456 | 0.270228 | − | 0.962796i | \(-0.412901\pi\) | ||||
0.270228 | + | 0.962796i | \(0.412901\pi\) | |||||||
\(912\) | −16.0803 | −0.532473 | ||||||||
\(913\) | −3.21228 | −0.106311 | ||||||||
\(914\) | −24.7456 | −0.818512 | ||||||||
\(915\) | 72.7523 | 2.40512 | ||||||||
\(916\) | −44.7372 | −1.47816 | ||||||||
\(917\) | 52.9328 | 1.74800 | ||||||||
\(918\) | −9.08349 | −0.299800 | ||||||||
\(919\) | 19.2632 | 0.635434 | 0.317717 | − | 0.948186i | \(-0.397084\pi\) | ||||
0.317717 | + | 0.948186i | \(0.397084\pi\) | |||||||
\(920\) | 2.15584 | 0.0710759 | ||||||||
\(921\) | 72.8746 | 2.40130 | ||||||||
\(922\) | −10.0489 | −0.330942 | ||||||||
\(923\) | 1.24648 | 0.0410284 | ||||||||
\(924\) | −10.6718 | −0.351075 | ||||||||
\(925\) | −5.55725 | −0.182721 | ||||||||
\(926\) | 48.3161 | 1.58777 | ||||||||
\(927\) | 8.28323 | 0.272057 | ||||||||
\(928\) | −2.09533 | −0.0687824 | ||||||||
\(929\) | 41.7821 | 1.37083 | 0.685413 | − | 0.728155i | \(-0.259622\pi\) | ||||
0.685413 | + | 0.728155i | \(0.259622\pi\) | |||||||
\(930\) | 140.461 | 4.60591 | ||||||||
\(931\) | 2.99082 | 0.0980200 | ||||||||
\(932\) | 11.8768 | 0.389036 | ||||||||
\(933\) | −3.03061 | −0.0992177 | ||||||||
\(934\) | −16.5011 | −0.539933 | ||||||||
\(935\) | −7.88409 | −0.257837 | ||||||||
\(936\) | −0.159306 | −0.00520708 | ||||||||
\(937\) | −13.3650 | −0.436615 | −0.218307 | − | 0.975880i | \(-0.570054\pi\) | ||||
−0.218307 | + | 0.975880i | \(0.570054\pi\) | |||||||
\(938\) | 22.6037 | 0.738036 | ||||||||
\(939\) | −61.5527 | −2.00870 | ||||||||
\(940\) | 55.5583 | 1.81211 | ||||||||
\(941\) | −46.6373 | −1.52033 | −0.760166 | − | 0.649728i | \(-0.774883\pi\) | ||||
−0.760166 | + | 0.649728i | \(0.774883\pi\) | |||||||
\(942\) | 92.7839 | 3.02306 | ||||||||
\(943\) | −68.8361 | −2.24161 | ||||||||
\(944\) | −58.0469 | −1.88927 | ||||||||
\(945\) | −16.2859 | −0.529781 | ||||||||
\(946\) | 10.7143 | 0.348351 | ||||||||
\(947\) | −17.9205 | −0.582337 | −0.291168 | − | 0.956672i | \(-0.594044\pi\) | ||||
−0.291168 | + | 0.956672i | \(0.594044\pi\) | |||||||
\(948\) | 53.2972 | 1.73101 | ||||||||
\(949\) | −3.06737 | −0.0995711 | ||||||||
\(950\) | 26.5684 | 0.861991 | ||||||||
\(951\) | 64.6741 | 2.09720 | ||||||||
\(952\) | −0.421017 | −0.0136452 | ||||||||
\(953\) | 5.00763 | 0.162213 | 0.0811066 | − | 0.996705i | \(-0.474155\pi\) | ||||
0.0811066 | + | 0.996705i | \(0.474155\pi\) | |||||||
\(954\) | −27.4205 | −0.887771 | ||||||||
\(955\) | −87.1217 | −2.81919 | ||||||||
\(956\) | 6.80272 | 0.220016 | ||||||||
\(957\) | 0.589440 | 0.0190539 | ||||||||
\(958\) | 37.4220 | 1.20905 | ||||||||
\(959\) | −26.7030 | −0.862284 | ||||||||
\(960\) | −65.9091 | −2.12721 | ||||||||
\(961\) | 46.7892 | 1.50933 | ||||||||
\(962\) | 1.43092 | 0.0461348 | ||||||||
\(963\) | 3.75163 | 0.120895 | ||||||||
\(964\) | −52.6264 | −1.69498 | ||||||||
\(965\) | −28.7538 | −0.925618 | ||||||||
\(966\) | 79.9595 | 2.57265 | ||||||||
\(967\) | 42.0730 | 1.35298 | 0.676489 | − | 0.736453i | \(-0.263501\pi\) | ||||
0.676489 | + | 0.736453i | \(0.263501\pi\) | |||||||
\(968\) | −0.0808885 | −0.00259986 | ||||||||
\(969\) | 9.23371 | 0.296630 | ||||||||
\(970\) | 24.3366 | 0.781402 | ||||||||
\(971\) | 23.2678 | 0.746699 | 0.373350 | − | 0.927691i | \(-0.378209\pi\) | ||||
0.373350 | + | 0.927691i | \(0.378209\pi\) | |||||||
\(972\) | 37.8734 | 1.21479 | ||||||||
\(973\) | −37.4189 | −1.19959 | ||||||||
\(974\) | 8.80046 | 0.281985 | ||||||||
\(975\) | −15.3538 | −0.491716 | ||||||||
\(976\) | −35.9754 | −1.15154 | ||||||||
\(977\) | 11.3184 | 0.362106 | 0.181053 | − | 0.983473i | \(-0.442049\pi\) | ||||
0.181053 | + | 0.983473i | \(0.442049\pi\) | |||||||
\(978\) | −89.4597 | −2.86061 | ||||||||
\(979\) | −9.75901 | −0.311899 | ||||||||
\(980\) | 11.7794 | 0.376278 | ||||||||
\(981\) | 19.1503 | 0.611423 | ||||||||
\(982\) | 3.45260 | 0.110177 | ||||||||
\(983\) | 8.38506 | 0.267442 | 0.133721 | − | 0.991019i | \(-0.457307\pi\) | ||||
0.133721 | + | 0.991019i | \(0.457307\pi\) | |||||||
\(984\) | −1.65526 | −0.0527678 | ||||||||
\(985\) | −33.7840 | −1.07645 | ||||||||
\(986\) | 1.17897 | 0.0375459 | ||||||||
\(987\) | 40.6447 | 1.29373 | ||||||||
\(988\) | −3.45458 | −0.109905 | ||||||||
\(989\) | −40.5387 | −1.28906 | ||||||||
\(990\) | 14.8737 | 0.472718 | ||||||||
\(991\) | 8.82781 | 0.280425 | 0.140212 | − | 0.990121i | \(-0.455221\pi\) | ||||
0.140212 | + | 0.990121i | \(0.455221\pi\) | |||||||
\(992\) | −70.8839 | −2.25057 | ||||||||
\(993\) | −31.9486 | −1.01386 | ||||||||
\(994\) | −6.21471 | −0.197119 | ||||||||
\(995\) | −34.7787 | −1.10256 | ||||||||
\(996\) | 14.8174 | 0.469506 | ||||||||
\(997\) | −6.93005 | −0.219477 | −0.109738 | − | 0.993961i | \(-0.535001\pi\) | ||||
−0.109738 | + | 0.993961i | \(0.535001\pi\) | |||||||
\(998\) | −47.5035 | −1.50370 | ||||||||
\(999\) | −1.53314 | −0.0485063 |
(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 | 6017.2.a.c.1.19 | ✓ | 106 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6017.2.a.c.1.19 | ✓ | 106 | 1.1 | even | 1 | trivial |