Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6019,2,Mod(1,6019)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6019, 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("6019.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6019 = 13 \cdot 463 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6019.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: | \(48.0619569766\) |
Analytic rank: | \(1\) |
Dimension: | \(101\) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.4 | ||
Character | \(\chi\) | \(=\) | 6019.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.61088 | −1.84617 | −0.923087 | − | 0.384592i | \(-0.874342\pi\) | ||||
−0.923087 | + | 0.384592i | \(0.874342\pi\) | |||||||
\(3\) | −2.81902 | −1.62756 | −0.813782 | − | 0.581170i | \(-0.802595\pi\) | ||||
−0.813782 | + | 0.581170i | \(0.802595\pi\) | |||||||
\(4\) | 4.81671 | 2.40836 | ||||||||
\(5\) | −3.25148 | −1.45411 | −0.727053 | − | 0.686581i | \(-0.759111\pi\) | ||||
−0.727053 | + | 0.686581i | \(0.759111\pi\) | |||||||
\(6\) | 7.36014 | 3.00476 | ||||||||
\(7\) | 3.68170 | 1.39155 | 0.695776 | − | 0.718259i | \(-0.255061\pi\) | ||||
0.695776 | + | 0.718259i | \(0.255061\pi\) | |||||||
\(8\) | −7.35411 | −2.60007 | ||||||||
\(9\) | 4.94689 | 1.64896 | ||||||||
\(10\) | 8.48923 | 2.68453 | ||||||||
\(11\) | 0.379576 | 0.114447 | 0.0572233 | − | 0.998361i | \(-0.481775\pi\) | ||||
0.0572233 | + | 0.998361i | \(0.481775\pi\) | |||||||
\(12\) | −13.5784 | −3.91975 | ||||||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | −9.61249 | −2.56905 | ||||||||
\(15\) | 9.16600 | 2.36665 | ||||||||
\(16\) | 9.56729 | 2.39182 | ||||||||
\(17\) | 0.171129 | 0.0415050 | 0.0207525 | − | 0.999785i | \(-0.493394\pi\) | ||||
0.0207525 | + | 0.999785i | \(0.493394\pi\) | |||||||
\(18\) | −12.9158 | −3.04427 | ||||||||
\(19\) | 2.47353 | 0.567466 | 0.283733 | − | 0.958903i | \(-0.408427\pi\) | ||||
0.283733 | + | 0.958903i | \(0.408427\pi\) | |||||||
\(20\) | −15.6614 | −3.50200 | ||||||||
\(21\) | −10.3788 | −2.26484 | ||||||||
\(22\) | −0.991029 | −0.211288 | ||||||||
\(23\) | 5.01910 | 1.04656 | 0.523278 | − | 0.852162i | \(-0.324709\pi\) | ||||
0.523278 | + | 0.852162i | \(0.324709\pi\) | |||||||
\(24\) | 20.7314 | 4.23178 | ||||||||
\(25\) | 5.57212 | 1.11442 | ||||||||
\(26\) | −2.61088 | −0.512036 | ||||||||
\(27\) | −5.48833 | −1.05623 | ||||||||
\(28\) | 17.7337 | 3.35135 | ||||||||
\(29\) | −0.620211 | −0.115170 | −0.0575852 | − | 0.998341i | \(-0.518340\pi\) | ||||
−0.0575852 | + | 0.998341i | \(0.518340\pi\) | |||||||
\(30\) | −23.9313 | −4.36925 | ||||||||
\(31\) | 0.609189 | 0.109414 | 0.0547068 | − | 0.998502i | \(-0.482578\pi\) | ||||
0.0547068 | + | 0.998502i | \(0.482578\pi\) | |||||||
\(32\) | −10.2709 | −1.81565 | ||||||||
\(33\) | −1.07003 | −0.186269 | ||||||||
\(34\) | −0.446799 | −0.0766254 | ||||||||
\(35\) | −11.9710 | −2.02346 | ||||||||
\(36\) | 23.8277 | 3.97129 | ||||||||
\(37\) | 5.70011 | 0.937093 | 0.468546 | − | 0.883439i | \(-0.344778\pi\) | ||||
0.468546 | + | 0.883439i | \(0.344778\pi\) | |||||||
\(38\) | −6.45809 | −1.04764 | ||||||||
\(39\) | −2.81902 | −0.451405 | ||||||||
\(40\) | 23.9117 | 3.78078 | ||||||||
\(41\) | −3.49063 | −0.545145 | −0.272573 | − | 0.962135i | \(-0.587874\pi\) | ||||
−0.272573 | + | 0.962135i | \(0.587874\pi\) | |||||||
\(42\) | 27.0978 | 4.18128 | ||||||||
\(43\) | −4.03815 | −0.615812 | −0.307906 | − | 0.951417i | \(-0.599628\pi\) | ||||
−0.307906 | + | 0.951417i | \(0.599628\pi\) | |||||||
\(44\) | 1.82831 | 0.275628 | ||||||||
\(45\) | −16.0847 | −2.39777 | ||||||||
\(46\) | −13.1043 | −1.93212 | ||||||||
\(47\) | 2.69340 | 0.392873 | 0.196436 | − | 0.980517i | \(-0.437063\pi\) | ||||
0.196436 | + | 0.980517i | \(0.437063\pi\) | |||||||
\(48\) | −26.9704 | −3.89284 | ||||||||
\(49\) | 6.55491 | 0.936416 | ||||||||
\(50\) | −14.5482 | −2.05742 | ||||||||
\(51\) | −0.482418 | −0.0675520 | ||||||||
\(52\) | 4.81671 | 0.667958 | ||||||||
\(53\) | −0.117488 | −0.0161382 | −0.00806909 | − | 0.999967i | \(-0.502569\pi\) | ||||
−0.00806909 | + | 0.999967i | \(0.502569\pi\) | |||||||
\(54\) | 14.3294 | 1.94998 | ||||||||
\(55\) | −1.23418 | −0.166417 | ||||||||
\(56\) | −27.0756 | −3.61813 | ||||||||
\(57\) | −6.97293 | −0.923587 | ||||||||
\(58\) | 1.61930 | 0.212624 | ||||||||
\(59\) | 1.60477 | 0.208923 | 0.104462 | − | 0.994529i | \(-0.466688\pi\) | ||||
0.104462 | + | 0.994529i | \(0.466688\pi\) | |||||||
\(60\) | 44.1500 | 5.69974 | ||||||||
\(61\) | −10.3768 | −1.32862 | −0.664309 | − | 0.747458i | \(-0.731274\pi\) | ||||
−0.664309 | + | 0.747458i | \(0.731274\pi\) | |||||||
\(62\) | −1.59052 | −0.201996 | ||||||||
\(63\) | 18.2130 | 2.29462 | ||||||||
\(64\) | 7.68144 | 0.960180 | ||||||||
\(65\) | −3.25148 | −0.403296 | ||||||||
\(66\) | 2.79373 | 0.343885 | ||||||||
\(67\) | −8.42378 | −1.02913 | −0.514564 | − | 0.857452i | \(-0.672046\pi\) | ||||
−0.514564 | + | 0.857452i | \(0.672046\pi\) | |||||||
\(68\) | 0.824281 | 0.0999588 | ||||||||
\(69\) | −14.1490 | −1.70334 | ||||||||
\(70\) | 31.2548 | 3.73566 | ||||||||
\(71\) | −15.5506 | −1.84552 | −0.922758 | − | 0.385381i | \(-0.874070\pi\) | ||||
−0.922758 | + | 0.385381i | \(0.874070\pi\) | |||||||
\(72\) | −36.3800 | −4.28742 | ||||||||
\(73\) | 6.10722 | 0.714796 | 0.357398 | − | 0.933952i | \(-0.383664\pi\) | ||||
0.357398 | + | 0.933952i | \(0.383664\pi\) | |||||||
\(74\) | −14.8823 | −1.73004 | ||||||||
\(75\) | −15.7079 | −1.81380 | ||||||||
\(76\) | 11.9143 | 1.36666 | ||||||||
\(77\) | 1.39749 | 0.159258 | ||||||||
\(78\) | 7.36014 | 0.833372 | ||||||||
\(79\) | −2.55754 | −0.287746 | −0.143873 | − | 0.989596i | \(-0.545956\pi\) | ||||
−0.143873 | + | 0.989596i | \(0.545956\pi\) | |||||||
\(80\) | −31.1078 | −3.47796 | ||||||||
\(81\) | 0.631060 | 0.0701178 | ||||||||
\(82\) | 9.11363 | 1.00643 | ||||||||
\(83\) | −12.1349 | −1.33198 | −0.665991 | − | 0.745960i | \(-0.731991\pi\) | ||||
−0.665991 | + | 0.745960i | \(0.731991\pi\) | |||||||
\(84\) | −49.9917 | −5.45454 | ||||||||
\(85\) | −0.556424 | −0.0603527 | ||||||||
\(86\) | 10.5431 | 1.13690 | ||||||||
\(87\) | 1.74839 | 0.187447 | ||||||||
\(88\) | −2.79144 | −0.297569 | ||||||||
\(89\) | 1.81108 | 0.191974 | 0.0959869 | − | 0.995383i | \(-0.469399\pi\) | ||||
0.0959869 | + | 0.995383i | \(0.469399\pi\) | |||||||
\(90\) | 41.9953 | 4.42669 | ||||||||
\(91\) | 3.68170 | 0.385947 | ||||||||
\(92\) | 24.1756 | 2.52048 | ||||||||
\(93\) | −1.71732 | −0.178077 | ||||||||
\(94\) | −7.03215 | −0.725311 | ||||||||
\(95\) | −8.04262 | −0.825156 | ||||||||
\(96\) | 28.9538 | 2.95508 | ||||||||
\(97\) | 13.1598 | 1.33618 | 0.668090 | − | 0.744080i | \(-0.267112\pi\) | ||||
0.668090 | + | 0.744080i | \(0.267112\pi\) | |||||||
\(98\) | −17.1141 | −1.72879 | ||||||||
\(99\) | 1.87772 | 0.188718 | ||||||||
\(100\) | 26.8393 | 2.68393 | ||||||||
\(101\) | −9.47629 | −0.942926 | −0.471463 | − | 0.881886i | \(-0.656274\pi\) | ||||
−0.471463 | + | 0.881886i | \(0.656274\pi\) | |||||||
\(102\) | 1.25954 | 0.124713 | ||||||||
\(103\) | −0.836489 | −0.0824218 | −0.0412109 | − | 0.999150i | \(-0.513122\pi\) | ||||
−0.0412109 | + | 0.999150i | \(0.513122\pi\) | |||||||
\(104\) | −7.35411 | −0.721129 | ||||||||
\(105\) | 33.7464 | 3.29332 | ||||||||
\(106\) | 0.306747 | 0.0297939 | ||||||||
\(107\) | −1.28587 | −0.124310 | −0.0621548 | − | 0.998067i | \(-0.519797\pi\) | ||||
−0.0621548 | + | 0.998067i | \(0.519797\pi\) | |||||||
\(108\) | −26.4357 | −2.54378 | ||||||||
\(109\) | −12.2550 | −1.17381 | −0.586906 | − | 0.809655i | \(-0.699654\pi\) | ||||
−0.586906 | + | 0.809655i | \(0.699654\pi\) | |||||||
\(110\) | 3.22231 | 0.307235 | ||||||||
\(111\) | −16.0687 | −1.52518 | ||||||||
\(112\) | 35.2239 | 3.32834 | ||||||||
\(113\) | −3.39434 | −0.319312 | −0.159656 | − | 0.987173i | \(-0.551039\pi\) | ||||
−0.159656 | + | 0.987173i | \(0.551039\pi\) | |||||||
\(114\) | 18.2055 | 1.70510 | ||||||||
\(115\) | −16.3195 | −1.52180 | ||||||||
\(116\) | −2.98738 | −0.277371 | ||||||||
\(117\) | 4.94689 | 0.457340 | ||||||||
\(118\) | −4.18986 | −0.385708 | ||||||||
\(119\) | 0.630047 | 0.0577563 | ||||||||
\(120\) | −67.4077 | −6.15345 | ||||||||
\(121\) | −10.8559 | −0.986902 | ||||||||
\(122\) | 27.0927 | 2.45286 | ||||||||
\(123\) | 9.84017 | 0.887259 | ||||||||
\(124\) | 2.93429 | 0.263507 | ||||||||
\(125\) | −1.86023 | −0.166384 | ||||||||
\(126\) | −47.5519 | −4.23626 | ||||||||
\(127\) | 16.2661 | 1.44338 | 0.721690 | − | 0.692216i | \(-0.243366\pi\) | ||||
0.721690 | + | 0.692216i | \(0.243366\pi\) | |||||||
\(128\) | 0.486372 | 0.0429896 | ||||||||
\(129\) | 11.3836 | 1.00227 | ||||||||
\(130\) | 8.48923 | 0.744555 | ||||||||
\(131\) | −8.32041 | −0.726957 | −0.363479 | − | 0.931603i | \(-0.618411\pi\) | ||||
−0.363479 | + | 0.931603i | \(0.618411\pi\) | |||||||
\(132\) | −5.15404 | −0.448602 | ||||||||
\(133\) | 9.10678 | 0.789658 | ||||||||
\(134\) | 21.9935 | 1.89995 | ||||||||
\(135\) | 17.8452 | 1.53587 | ||||||||
\(136\) | −1.25850 | −0.107916 | ||||||||
\(137\) | 7.50857 | 0.641500 | 0.320750 | − | 0.947164i | \(-0.396065\pi\) | ||||
0.320750 | + | 0.947164i | \(0.396065\pi\) | |||||||
\(138\) | 36.9413 | 3.14465 | ||||||||
\(139\) | 1.71100 | 0.145125 | 0.0725626 | − | 0.997364i | \(-0.476882\pi\) | ||||
0.0725626 | + | 0.997364i | \(0.476882\pi\) | |||||||
\(140\) | −57.6607 | −4.87322 | ||||||||
\(141\) | −7.59276 | −0.639425 | ||||||||
\(142\) | 40.6008 | 3.40714 | ||||||||
\(143\) | 0.379576 | 0.0317417 | ||||||||
\(144\) | 47.3283 | 3.94403 | ||||||||
\(145\) | 2.01660 | 0.167470 | ||||||||
\(146\) | −15.9452 | −1.31964 | ||||||||
\(147\) | −18.4784 | −1.52408 | ||||||||
\(148\) | 27.4558 | 2.25685 | ||||||||
\(149\) | 12.9223 | 1.05863 | 0.529317 | − | 0.848424i | \(-0.322448\pi\) | ||||
0.529317 | + | 0.848424i | \(0.322448\pi\) | |||||||
\(150\) | 41.0116 | 3.34858 | ||||||||
\(151\) | 0.993156 | 0.0808219 | 0.0404109 | − | 0.999183i | \(-0.487133\pi\) | ||||
0.0404109 | + | 0.999183i | \(0.487133\pi\) | |||||||
\(152\) | −18.1906 | −1.47545 | ||||||||
\(153\) | 0.846559 | 0.0684402 | ||||||||
\(154\) | −3.64867 | −0.294018 | ||||||||
\(155\) | −1.98076 | −0.159099 | ||||||||
\(156\) | −13.5784 | −1.08714 | ||||||||
\(157\) | −4.64854 | −0.370994 | −0.185497 | − | 0.982645i | \(-0.559389\pi\) | ||||
−0.185497 | + | 0.982645i | \(0.559389\pi\) | |||||||
\(158\) | 6.67745 | 0.531229 | ||||||||
\(159\) | 0.331201 | 0.0262659 | ||||||||
\(160\) | 33.3955 | 2.64015 | ||||||||
\(161\) | 18.4788 | 1.45634 | ||||||||
\(162\) | −1.64762 | −0.129450 | ||||||||
\(163\) | −22.3868 | −1.75347 | −0.876735 | − | 0.480973i | \(-0.840284\pi\) | ||||
−0.876735 | + | 0.480973i | \(0.840284\pi\) | |||||||
\(164\) | −16.8134 | −1.31290 | ||||||||
\(165\) | 3.47919 | 0.270855 | ||||||||
\(166\) | 31.6829 | 2.45907 | ||||||||
\(167\) | −1.74851 | −0.135304 | −0.0676519 | − | 0.997709i | \(-0.521551\pi\) | ||||
−0.0676519 | + | 0.997709i | \(0.521551\pi\) | |||||||
\(168\) | 76.3268 | 5.88874 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 1.45276 | 0.111421 | ||||||||
\(171\) | 12.2363 | 0.935731 | ||||||||
\(172\) | −19.4506 | −1.48309 | ||||||||
\(173\) | 6.45492 | 0.490759 | 0.245379 | − | 0.969427i | \(-0.421087\pi\) | ||||
0.245379 | + | 0.969427i | \(0.421087\pi\) | |||||||
\(174\) | −4.56484 | −0.346060 | ||||||||
\(175\) | 20.5149 | 1.55078 | ||||||||
\(176\) | 3.63151 | 0.273736 | ||||||||
\(177\) | −4.52388 | −0.340036 | ||||||||
\(178\) | −4.72851 | −0.354417 | ||||||||
\(179\) | 0.00252205 | 0.000188507 0 | 9.42535e−5 | − | 1.00000i | \(-0.499970\pi\) | ||||
9.42535e−5 | 1.00000i | \(0.499970\pi\) | ||||||||
\(180\) | −77.4754 | −5.77468 | ||||||||
\(181\) | 4.91839 | 0.365581 | 0.182791 | − | 0.983152i | \(-0.441487\pi\) | ||||
0.182791 | + | 0.983152i | \(0.441487\pi\) | |||||||
\(182\) | −9.61249 | −0.712525 | ||||||||
\(183\) | 29.2526 | 2.16241 | ||||||||
\(184\) | −36.9110 | −2.72112 | ||||||||
\(185\) | −18.5338 | −1.36263 | ||||||||
\(186\) | 4.48371 | 0.328762 | ||||||||
\(187\) | 0.0649567 | 0.00475010 | ||||||||
\(188\) | 12.9733 | 0.946177 | ||||||||
\(189\) | −20.2064 | −1.46980 | ||||||||
\(190\) | 20.9984 | 1.52338 | ||||||||
\(191\) | −8.64851 | −0.625784 | −0.312892 | − | 0.949789i | \(-0.601298\pi\) | ||||
−0.312892 | + | 0.949789i | \(0.601298\pi\) | |||||||
\(192\) | −21.6542 | −1.56275 | ||||||||
\(193\) | −5.33669 | −0.384143 | −0.192072 | − | 0.981381i | \(-0.561521\pi\) | ||||
−0.192072 | + | 0.981381i | \(0.561521\pi\) | |||||||
\(194\) | −34.3588 | −2.46682 | ||||||||
\(195\) | 9.16600 | 0.656391 | ||||||||
\(196\) | 31.5731 | 2.25522 | ||||||||
\(197\) | −8.75961 | −0.624097 | −0.312048 | − | 0.950066i | \(-0.601015\pi\) | ||||
−0.312048 | + | 0.950066i | \(0.601015\pi\) | |||||||
\(198\) | −4.90251 | −0.348406 | ||||||||
\(199\) | 1.22515 | 0.0868485 | 0.0434242 | − | 0.999057i | \(-0.486173\pi\) | ||||
0.0434242 | + | 0.999057i | \(0.486173\pi\) | |||||||
\(200\) | −40.9779 | −2.89758 | ||||||||
\(201\) | 23.7468 | 1.67497 | ||||||||
\(202\) | 24.7415 | 1.74080 | ||||||||
\(203\) | −2.28343 | −0.160265 | ||||||||
\(204\) | −2.32367 | −0.162689 | ||||||||
\(205\) | 11.3497 | 0.792699 | ||||||||
\(206\) | 2.18398 | 0.152165 | ||||||||
\(207\) | 24.8290 | 1.72573 | ||||||||
\(208\) | 9.56729 | 0.663372 | ||||||||
\(209\) | 0.938892 | 0.0649445 | ||||||||
\(210\) | −88.1080 | −6.08003 | ||||||||
\(211\) | 8.78344 | 0.604677 | 0.302339 | − | 0.953201i | \(-0.402233\pi\) | ||||
0.302339 | + | 0.953201i | \(0.402233\pi\) | |||||||
\(212\) | −0.565905 | −0.0388665 | ||||||||
\(213\) | 43.8375 | 3.00369 | ||||||||
\(214\) | 3.35725 | 0.229497 | ||||||||
\(215\) | 13.1300 | 0.895455 | ||||||||
\(216\) | 40.3618 | 2.74627 | ||||||||
\(217\) | 2.24285 | 0.152255 | ||||||||
\(218\) | 31.9963 | 2.16706 | ||||||||
\(219\) | −17.2164 | −1.16338 | ||||||||
\(220\) | −5.94471 | −0.400792 | ||||||||
\(221\) | 0.171129 | 0.0115114 | ||||||||
\(222\) | 41.9536 | 2.81574 | ||||||||
\(223\) | 5.90090 | 0.395153 | 0.197577 | − | 0.980287i | \(-0.436693\pi\) | ||||
0.197577 | + | 0.980287i | \(0.436693\pi\) | |||||||
\(224\) | −37.8142 | −2.52657 | ||||||||
\(225\) | 27.5647 | 1.83764 | ||||||||
\(226\) | 8.86222 | 0.589506 | ||||||||
\(227\) | 28.7527 | 1.90838 | 0.954191 | − | 0.299197i | \(-0.0967189\pi\) | ||||
0.954191 | + | 0.299197i | \(0.0967189\pi\) | |||||||
\(228\) | −33.5866 | −2.22433 | ||||||||
\(229\) | 19.3289 | 1.27729 | 0.638644 | − | 0.769502i | \(-0.279496\pi\) | ||||
0.638644 | + | 0.769502i | \(0.279496\pi\) | |||||||
\(230\) | 42.6083 | 2.80951 | ||||||||
\(231\) | −3.93954 | −0.259203 | ||||||||
\(232\) | 4.56110 | 0.299451 | ||||||||
\(233\) | −9.17650 | −0.601172 | −0.300586 | − | 0.953755i | \(-0.597182\pi\) | ||||
−0.300586 | + | 0.953755i | \(0.597182\pi\) | |||||||
\(234\) | −12.9158 | −0.844329 | ||||||||
\(235\) | −8.75753 | −0.571279 | ||||||||
\(236\) | 7.72971 | 0.503161 | ||||||||
\(237\) | 7.20977 | 0.468325 | ||||||||
\(238\) | −1.64498 | −0.106628 | ||||||||
\(239\) | −7.38972 | −0.478001 | −0.239001 | − | 0.971019i | \(-0.576820\pi\) | ||||
−0.239001 | + | 0.971019i | \(0.576820\pi\) | |||||||
\(240\) | 87.6937 | 5.66060 | ||||||||
\(241\) | 28.6478 | 1.84537 | 0.922683 | − | 0.385560i | \(-0.125992\pi\) | ||||
0.922683 | + | 0.385560i | \(0.125992\pi\) | |||||||
\(242\) | 28.3435 | 1.82199 | ||||||||
\(243\) | 14.6860 | 0.942109 | ||||||||
\(244\) | −49.9823 | −3.19979 | ||||||||
\(245\) | −21.3132 | −1.36165 | ||||||||
\(246\) | −25.6915 | −1.63803 | ||||||||
\(247\) | 2.47353 | 0.157387 | ||||||||
\(248\) | −4.48004 | −0.284483 | ||||||||
\(249\) | 34.2086 | 2.16788 | ||||||||
\(250\) | 4.85685 | 0.307174 | ||||||||
\(251\) | −20.6925 | −1.30610 | −0.653050 | − | 0.757314i | \(-0.726511\pi\) | ||||
−0.653050 | + | 0.757314i | \(0.726511\pi\) | |||||||
\(252\) | 87.7266 | 5.52626 | ||||||||
\(253\) | 1.90513 | 0.119775 | ||||||||
\(254\) | −42.4688 | −2.66473 | ||||||||
\(255\) | 1.56857 | 0.0982278 | ||||||||
\(256\) | −16.6327 | −1.03955 | ||||||||
\(257\) | 26.0995 | 1.62804 | 0.814022 | − | 0.580835i | \(-0.197274\pi\) | ||||
0.814022 | + | 0.580835i | \(0.197274\pi\) | |||||||
\(258\) | −29.7213 | −1.85037 | ||||||||
\(259\) | 20.9861 | 1.30401 | ||||||||
\(260\) | −15.6614 | −0.971281 | ||||||||
\(261\) | −3.06812 | −0.189912 | ||||||||
\(262\) | 21.7236 | 1.34209 | ||||||||
\(263\) | −1.59496 | −0.0983496 | −0.0491748 | − | 0.998790i | \(-0.515659\pi\) | ||||
−0.0491748 | + | 0.998790i | \(0.515659\pi\) | |||||||
\(264\) | 7.86914 | 0.484312 | ||||||||
\(265\) | 0.382009 | 0.0234666 | ||||||||
\(266\) | −23.7767 | −1.45785 | ||||||||
\(267\) | −5.10547 | −0.312450 | ||||||||
\(268\) | −40.5749 | −2.47851 | ||||||||
\(269\) | −7.63145 | −0.465298 | −0.232649 | − | 0.972561i | \(-0.574739\pi\) | ||||
−0.232649 | + | 0.972561i | \(0.574739\pi\) | |||||||
\(270\) | −46.5917 | −2.83548 | ||||||||
\(271\) | −11.3837 | −0.691511 | −0.345756 | − | 0.938325i | \(-0.612377\pi\) | ||||
−0.345756 | + | 0.938325i | \(0.612377\pi\) | |||||||
\(272\) | 1.63724 | 0.0992725 | ||||||||
\(273\) | −10.3788 | −0.628153 | ||||||||
\(274\) | −19.6040 | −1.18432 | ||||||||
\(275\) | 2.11504 | 0.127542 | ||||||||
\(276\) | −68.1515 | −4.10224 | ||||||||
\(277\) | −14.6567 | −0.880633 | −0.440317 | − | 0.897843i | \(-0.645134\pi\) | ||||
−0.440317 | + | 0.897843i | \(0.645134\pi\) | |||||||
\(278\) | −4.46722 | −0.267926 | ||||||||
\(279\) | 3.01359 | 0.180419 | ||||||||
\(280\) | 88.0358 | 5.26114 | ||||||||
\(281\) | 19.3454 | 1.15405 | 0.577026 | − | 0.816726i | \(-0.304213\pi\) | ||||
0.577026 | + | 0.816726i | \(0.304213\pi\) | |||||||
\(282\) | 19.8238 | 1.18049 | ||||||||
\(283\) | −12.4503 | −0.740092 | −0.370046 | − | 0.929014i | \(-0.620658\pi\) | ||||
−0.370046 | + | 0.929014i | \(0.620658\pi\) | |||||||
\(284\) | −74.9027 | −4.44466 | ||||||||
\(285\) | 22.6723 | 1.34299 | ||||||||
\(286\) | −0.991029 | −0.0586008 | ||||||||
\(287\) | −12.8515 | −0.758598 | ||||||||
\(288\) | −50.8088 | −2.99394 | ||||||||
\(289\) | −16.9707 | −0.998277 | ||||||||
\(290\) | −5.26512 | −0.309178 | ||||||||
\(291\) | −37.0979 | −2.17472 | ||||||||
\(292\) | 29.4167 | 1.72148 | ||||||||
\(293\) | −19.3113 | −1.12818 | −0.564090 | − | 0.825713i | \(-0.690773\pi\) | ||||
−0.564090 | + | 0.825713i | \(0.690773\pi\) | |||||||
\(294\) | 48.2451 | 2.81371 | ||||||||
\(295\) | −5.21787 | −0.303796 | ||||||||
\(296\) | −41.9192 | −2.43651 | ||||||||
\(297\) | −2.08324 | −0.120882 | ||||||||
\(298\) | −33.7386 | −1.95442 | ||||||||
\(299\) | 5.01910 | 0.290262 | ||||||||
\(300\) | −75.6606 | −4.36827 | ||||||||
\(301\) | −14.8672 | −0.856934 | ||||||||
\(302\) | −2.59301 | −0.149211 | ||||||||
\(303\) | 26.7139 | 1.53467 | ||||||||
\(304\) | 23.6649 | 1.35728 | ||||||||
\(305\) | 33.7401 | 1.93195 | ||||||||
\(306\) | −2.21027 | −0.126353 | ||||||||
\(307\) | 30.6038 | 1.74665 | 0.873324 | − | 0.487140i | \(-0.161960\pi\) | ||||
0.873324 | + | 0.487140i | \(0.161960\pi\) | |||||||
\(308\) | 6.73128 | 0.383550 | ||||||||
\(309\) | 2.35808 | 0.134147 | ||||||||
\(310\) | 5.17154 | 0.293724 | ||||||||
\(311\) | 16.2031 | 0.918794 | 0.459397 | − | 0.888231i | \(-0.348066\pi\) | ||||
0.459397 | + | 0.888231i | \(0.348066\pi\) | |||||||
\(312\) | 20.7314 | 1.17368 | ||||||||
\(313\) | −30.0032 | −1.69588 | −0.847939 | − | 0.530093i | \(-0.822157\pi\) | ||||
−0.847939 | + | 0.530093i | \(0.822157\pi\) | |||||||
\(314\) | 12.1368 | 0.684919 | ||||||||
\(315\) | −59.2191 | −3.33662 | ||||||||
\(316\) | −12.3189 | −0.692995 | ||||||||
\(317\) | 15.2765 | 0.858012 | 0.429006 | − | 0.903302i | \(-0.358864\pi\) | ||||
0.429006 | + | 0.903302i | \(0.358864\pi\) | |||||||
\(318\) | −0.864727 | −0.0484915 | ||||||||
\(319\) | −0.235417 | −0.0131808 | ||||||||
\(320\) | −24.9760 | −1.39620 | ||||||||
\(321\) | 3.62489 | 0.202322 | ||||||||
\(322\) | −48.2461 | −2.68865 | ||||||||
\(323\) | 0.423293 | 0.0235527 | ||||||||
\(324\) | 3.03963 | 0.168869 | ||||||||
\(325\) | 5.57212 | 0.309086 | ||||||||
\(326\) | 58.4494 | 3.23721 | ||||||||
\(327\) | 34.5470 | 1.91045 | ||||||||
\(328\) | 25.6705 | 1.41742 | ||||||||
\(329\) | 9.91629 | 0.546703 | ||||||||
\(330\) | −9.08377 | −0.500045 | ||||||||
\(331\) | −26.7196 | −1.46864 | −0.734321 | − | 0.678802i | \(-0.762499\pi\) | ||||
−0.734321 | + | 0.678802i | \(0.762499\pi\) | |||||||
\(332\) | −58.4504 | −3.20788 | ||||||||
\(333\) | 28.1978 | 1.54523 | ||||||||
\(334\) | 4.56516 | 0.249794 | ||||||||
\(335\) | 27.3897 | 1.49646 | ||||||||
\(336\) | −99.2969 | −5.41709 | ||||||||
\(337\) | 14.7494 | 0.803453 | 0.401727 | − | 0.915760i | \(-0.368410\pi\) | ||||
0.401727 | + | 0.915760i | \(0.368410\pi\) | |||||||
\(338\) | −2.61088 | −0.142013 | ||||||||
\(339\) | 9.56872 | 0.519701 | ||||||||
\(340\) | −2.68013 | −0.145351 | ||||||||
\(341\) | 0.231233 | 0.0125220 | ||||||||
\(342\) | −31.9475 | −1.72752 | ||||||||
\(343\) | −1.63869 | −0.0884809 | ||||||||
\(344\) | 29.6970 | 1.60115 | ||||||||
\(345\) | 46.0051 | 2.47683 | ||||||||
\(346\) | −16.8530 | −0.906025 | ||||||||
\(347\) | −24.4068 | −1.31022 | −0.655112 | − | 0.755532i | \(-0.727379\pi\) | ||||
−0.655112 | + | 0.755532i | \(0.727379\pi\) | |||||||
\(348\) | 8.42149 | 0.451439 | ||||||||
\(349\) | 10.0823 | 0.539694 | 0.269847 | − | 0.962903i | \(-0.413027\pi\) | ||||
0.269847 | + | 0.962903i | \(0.413027\pi\) | |||||||
\(350\) | −53.5619 | −2.86301 | ||||||||
\(351\) | −5.48833 | −0.292945 | ||||||||
\(352\) | −3.89857 | −0.207795 | ||||||||
\(353\) | −17.2236 | −0.916718 | −0.458359 | − | 0.888767i | \(-0.651563\pi\) | ||||
−0.458359 | + | 0.888767i | \(0.651563\pi\) | |||||||
\(354\) | 11.8113 | 0.627765 | ||||||||
\(355\) | 50.5624 | 2.68357 | ||||||||
\(356\) | 8.72344 | 0.462341 | ||||||||
\(357\) | −1.77612 | −0.0940021 | ||||||||
\(358\) | −0.00658478 | −0.000348017 0 | ||||||||
\(359\) | −30.0890 | −1.58803 | −0.794017 | − | 0.607895i | \(-0.792014\pi\) | ||||
−0.794017 | + | 0.607895i | \(0.792014\pi\) | |||||||
\(360\) | 118.289 | 6.23436 | ||||||||
\(361\) | −12.8817 | −0.677982 | ||||||||
\(362\) | −12.8413 | −0.674926 | ||||||||
\(363\) | 30.6031 | 1.60625 | ||||||||
\(364\) | 17.7337 | 0.929498 | ||||||||
\(365\) | −19.8575 | −1.03939 | ||||||||
\(366\) | −76.3750 | −3.99219 | ||||||||
\(367\) | −2.39286 | −0.124906 | −0.0624532 | − | 0.998048i | \(-0.519892\pi\) | ||||
−0.0624532 | + | 0.998048i | \(0.519892\pi\) | |||||||
\(368\) | 48.0192 | 2.50317 | ||||||||
\(369\) | −17.2678 | −0.898925 | ||||||||
\(370\) | 48.3896 | 2.51565 | ||||||||
\(371\) | −0.432555 | −0.0224571 | ||||||||
\(372\) | −8.27182 | −0.428874 | ||||||||
\(373\) | −1.83549 | −0.0950379 | −0.0475190 | − | 0.998870i | \(-0.515131\pi\) | ||||
−0.0475190 | + | 0.998870i | \(0.515131\pi\) | |||||||
\(374\) | −0.169594 | −0.00876951 | ||||||||
\(375\) | 5.24404 | 0.270801 | ||||||||
\(376\) | −19.8075 | −1.02150 | ||||||||
\(377\) | −0.620211 | −0.0319425 | ||||||||
\(378\) | 52.7565 | 2.71350 | ||||||||
\(379\) | 15.3036 | 0.786091 | 0.393046 | − | 0.919519i | \(-0.371421\pi\) | ||||
0.393046 | + | 0.919519i | \(0.371421\pi\) | |||||||
\(380\) | −38.7390 | −1.98727 | ||||||||
\(381\) | −45.8544 | −2.34919 | ||||||||
\(382\) | 22.5802 | 1.15531 | ||||||||
\(383\) | 26.3457 | 1.34620 | 0.673102 | − | 0.739550i | \(-0.264961\pi\) | ||||
0.673102 | + | 0.739550i | \(0.264961\pi\) | |||||||
\(384\) | −1.37109 | −0.0699683 | ||||||||
\(385\) | −4.54389 | −0.231578 | ||||||||
\(386\) | 13.9335 | 0.709195 | ||||||||
\(387\) | −19.9763 | −1.01545 | ||||||||
\(388\) | 63.3872 | 3.21800 | ||||||||
\(389\) | 11.7425 | 0.595369 | 0.297685 | − | 0.954664i | \(-0.403786\pi\) | ||||
0.297685 | + | 0.954664i | \(0.403786\pi\) | |||||||
\(390\) | −23.9313 | −1.21181 | ||||||||
\(391\) | 0.858917 | 0.0434373 | ||||||||
\(392\) | −48.2055 | −2.43475 | ||||||||
\(393\) | 23.4554 | 1.18317 | ||||||||
\(394\) | 22.8703 | 1.15219 | ||||||||
\(395\) | 8.31580 | 0.418413 | ||||||||
\(396\) | 9.04444 | 0.454500 | ||||||||
\(397\) | −16.9380 | −0.850092 | −0.425046 | − | 0.905172i | \(-0.639742\pi\) | ||||
−0.425046 | + | 0.905172i | \(0.639742\pi\) | |||||||
\(398\) | −3.19872 | −0.160337 | ||||||||
\(399\) | −25.6722 | −1.28522 | ||||||||
\(400\) | 53.3101 | 2.66550 | ||||||||
\(401\) | −4.92942 | −0.246163 | −0.123082 | − | 0.992397i | \(-0.539278\pi\) | ||||
−0.123082 | + | 0.992397i | \(0.539278\pi\) | |||||||
\(402\) | −62.0002 | −3.09229 | ||||||||
\(403\) | 0.609189 | 0.0303458 | ||||||||
\(404\) | −45.6445 | −2.27090 | ||||||||
\(405\) | −2.05188 | −0.101959 | ||||||||
\(406\) | 5.96177 | 0.295878 | ||||||||
\(407\) | 2.16363 | 0.107247 | ||||||||
\(408\) | 3.54775 | 0.175640 | ||||||||
\(409\) | 14.6684 | 0.725304 | 0.362652 | − | 0.931925i | \(-0.381871\pi\) | ||||
0.362652 | + | 0.931925i | \(0.381871\pi\) | |||||||
\(410\) | −29.6328 | −1.46346 | ||||||||
\(411\) | −21.1668 | −1.04408 | ||||||||
\(412\) | −4.02913 | −0.198501 | ||||||||
\(413\) | 5.90828 | 0.290727 | ||||||||
\(414\) | −64.8255 | −3.18600 | ||||||||
\(415\) | 39.4565 | 1.93684 | ||||||||
\(416\) | −10.2709 | −0.503570 | ||||||||
\(417\) | −4.82335 | −0.236201 | ||||||||
\(418\) | −2.45134 | −0.119899 | ||||||||
\(419\) | 8.81562 | 0.430671 | 0.215336 | − | 0.976540i | \(-0.430915\pi\) | ||||
0.215336 | + | 0.976540i | \(0.430915\pi\) | |||||||
\(420\) | 162.547 | 7.93148 | ||||||||
\(421\) | −21.7311 | −1.05911 | −0.529554 | − | 0.848276i | \(-0.677641\pi\) | ||||
−0.529554 | + | 0.848276i | \(0.677641\pi\) | |||||||
\(422\) | −22.9325 | −1.11634 | ||||||||
\(423\) | 13.3240 | 0.647833 | ||||||||
\(424\) | 0.864017 | 0.0419604 | ||||||||
\(425\) | 0.953554 | 0.0462542 | ||||||||
\(426\) | −114.455 | −5.54534 | ||||||||
\(427\) | −38.2044 | −1.84884 | ||||||||
\(428\) | −6.19365 | −0.299382 | ||||||||
\(429\) | −1.07003 | −0.0516617 | ||||||||
\(430\) | −34.2808 | −1.65317 | ||||||||
\(431\) | 14.9790 | 0.721513 | 0.360757 | − | 0.932660i | \(-0.382518\pi\) | ||||
0.360757 | + | 0.932660i | \(0.382518\pi\) | |||||||
\(432\) | −52.5084 | −2.52631 | ||||||||
\(433\) | 34.5418 | 1.65997 | 0.829986 | − | 0.557784i | \(-0.188348\pi\) | ||||
0.829986 | + | 0.557784i | \(0.188348\pi\) | |||||||
\(434\) | −5.85582 | −0.281088 | ||||||||
\(435\) | −5.68485 | −0.272568 | ||||||||
\(436\) | −59.0286 | −2.82696 | ||||||||
\(437\) | 12.4149 | 0.593885 | ||||||||
\(438\) | 44.9500 | 2.14779 | ||||||||
\(439\) | −2.61292 | −0.124708 | −0.0623539 | − | 0.998054i | \(-0.519861\pi\) | ||||
−0.0623539 | + | 0.998054i | \(0.519861\pi\) | |||||||
\(440\) | 9.07632 | 0.432696 | ||||||||
\(441\) | 32.4264 | 1.54412 | ||||||||
\(442\) | −0.446799 | −0.0212521 | ||||||||
\(443\) | −26.3263 | −1.25080 | −0.625401 | − | 0.780304i | \(-0.715064\pi\) | ||||
−0.625401 | + | 0.780304i | \(0.715064\pi\) | |||||||
\(444\) | −77.3985 | −3.67317 | ||||||||
\(445\) | −5.88868 | −0.279150 | ||||||||
\(446\) | −15.4066 | −0.729522 | ||||||||
\(447\) | −36.4282 | −1.72299 | ||||||||
\(448\) | 28.2808 | 1.33614 | ||||||||
\(449\) | −19.9592 | −0.941934 | −0.470967 | − | 0.882151i | \(-0.656095\pi\) | ||||
−0.470967 | + | 0.882151i | \(0.656095\pi\) | |||||||
\(450\) | −71.9681 | −3.39261 | ||||||||
\(451\) | −1.32496 | −0.0623900 | ||||||||
\(452\) | −16.3495 | −0.769018 | ||||||||
\(453\) | −2.79973 | −0.131543 | ||||||||
\(454\) | −75.0699 | −3.52320 | ||||||||
\(455\) | −11.9710 | −0.561208 | ||||||||
\(456\) | 51.2797 | 2.40139 | ||||||||
\(457\) | −23.0819 | −1.07972 | −0.539862 | − | 0.841753i | \(-0.681524\pi\) | ||||
−0.539862 | + | 0.841753i | \(0.681524\pi\) | |||||||
\(458\) | −50.4655 | −2.35810 | ||||||||
\(459\) | −0.939215 | −0.0438388 | ||||||||
\(460\) | −78.6064 | −3.66504 | ||||||||
\(461\) | −10.8863 | −0.507027 | −0.253514 | − | 0.967332i | \(-0.581586\pi\) | ||||
−0.253514 | + | 0.967332i | \(0.581586\pi\) | |||||||
\(462\) | 10.2857 | 0.478533 | ||||||||
\(463\) | 1.00000 | 0.0464739 | ||||||||
\(464\) | −5.93374 | −0.275467 | ||||||||
\(465\) | 5.58382 | 0.258943 | ||||||||
\(466\) | 23.9588 | 1.10987 | ||||||||
\(467\) | 39.3814 | 1.82235 | 0.911177 | − | 0.412015i | \(-0.135175\pi\) | ||||
0.911177 | + | 0.412015i | \(0.135175\pi\) | |||||||
\(468\) | 23.8277 | 1.10144 | ||||||||
\(469\) | −31.0138 | −1.43208 | ||||||||
\(470\) | 22.8649 | 1.05468 | ||||||||
\(471\) | 13.1043 | 0.603816 | ||||||||
\(472\) | −11.8016 | −0.543215 | ||||||||
\(473\) | −1.53278 | −0.0704775 | ||||||||
\(474\) | −18.8239 | −0.864609 | ||||||||
\(475\) | 13.7828 | 0.632398 | ||||||||
\(476\) | 3.03476 | 0.139098 | ||||||||
\(477\) | −0.581199 | −0.0266113 | ||||||||
\(478\) | 19.2937 | 0.882473 | ||||||||
\(479\) | 20.1566 | 0.920980 | 0.460490 | − | 0.887665i | \(-0.347674\pi\) | ||||
0.460490 | + | 0.887665i | \(0.347674\pi\) | |||||||
\(480\) | −94.1427 | −4.29700 | ||||||||
\(481\) | 5.70011 | 0.259903 | ||||||||
\(482\) | −74.7960 | −3.40686 | ||||||||
\(483\) | −52.0923 | −2.37028 | ||||||||
\(484\) | −52.2898 | −2.37681 | ||||||||
\(485\) | −42.7890 | −1.94295 | ||||||||
\(486\) | −38.3435 | −1.73930 | ||||||||
\(487\) | −24.3701 | −1.10432 | −0.552158 | − | 0.833739i | \(-0.686196\pi\) | ||||
−0.552158 | + | 0.833739i | \(0.686196\pi\) | |||||||
\(488\) | 76.3124 | 3.45450 | ||||||||
\(489\) | 63.1090 | 2.85389 | ||||||||
\(490\) | 55.6462 | 2.51384 | ||||||||
\(491\) | 18.2187 | 0.822199 | 0.411099 | − | 0.911591i | \(-0.365145\pi\) | ||||
0.411099 | + | 0.911591i | \(0.365145\pi\) | |||||||
\(492\) | 47.3973 | 2.13683 | ||||||||
\(493\) | −0.106136 | −0.00478014 | ||||||||
\(494\) | −6.45809 | −0.290563 | ||||||||
\(495\) | −6.10537 | −0.274416 | ||||||||
\(496\) | 5.82828 | 0.261698 | ||||||||
\(497\) | −57.2526 | −2.56813 | ||||||||
\(498\) | −89.3148 | −4.00229 | ||||||||
\(499\) | 9.39938 | 0.420774 | 0.210387 | − | 0.977618i | \(-0.432528\pi\) | ||||
0.210387 | + | 0.977618i | \(0.432528\pi\) | |||||||
\(500\) | −8.96021 | −0.400713 | ||||||||
\(501\) | 4.92909 | 0.220216 | ||||||||
\(502\) | 54.0258 | 2.41129 | ||||||||
\(503\) | 26.5267 | 1.18277 | 0.591384 | − | 0.806390i | \(-0.298582\pi\) | ||||
0.591384 | + | 0.806390i | \(0.298582\pi\) | |||||||
\(504\) | −133.940 | −5.96616 | ||||||||
\(505\) | 30.8119 | 1.37111 | ||||||||
\(506\) | −4.97408 | −0.221125 | ||||||||
\(507\) | −2.81902 | −0.125197 | ||||||||
\(508\) | 78.3490 | 3.47617 | ||||||||
\(509\) | −17.1045 | −0.758146 | −0.379073 | − | 0.925367i | \(-0.623757\pi\) | ||||
−0.379073 | + | 0.925367i | \(0.623757\pi\) | |||||||
\(510\) | −4.09536 | −0.181346 | ||||||||
\(511\) | 22.4850 | 0.994676 | ||||||||
\(512\) | 42.4534 | 1.87619 | ||||||||
\(513\) | −13.5755 | −0.599375 | ||||||||
\(514\) | −68.1428 | −3.00565 | ||||||||
\(515\) | 2.71983 | 0.119850 | ||||||||
\(516\) | 54.8317 | 2.41383 | ||||||||
\(517\) | 1.02235 | 0.0449629 | ||||||||
\(518\) | −54.7922 | −2.40743 | ||||||||
\(519\) | −18.1966 | −0.798741 | ||||||||
\(520\) | 23.9117 | 1.04860 | ||||||||
\(521\) | −35.6188 | −1.56049 | −0.780245 | − | 0.625474i | \(-0.784906\pi\) | ||||
−0.780245 | + | 0.625474i | \(0.784906\pi\) | |||||||
\(522\) | 8.01050 | 0.350610 | ||||||||
\(523\) | 9.15540 | 0.400338 | 0.200169 | − | 0.979761i | \(-0.435851\pi\) | ||||
0.200169 | + | 0.979761i | \(0.435851\pi\) | |||||||
\(524\) | −40.0770 | −1.75077 | ||||||||
\(525\) | −57.8319 | −2.52399 | ||||||||
\(526\) | 4.16426 | 0.181570 | ||||||||
\(527\) | 0.104250 | 0.00454121 | ||||||||
\(528\) | −10.2373 | −0.445522 | ||||||||
\(529\) | 2.19141 | 0.0952785 | ||||||||
\(530\) | −0.997381 | −0.0433235 | ||||||||
\(531\) | 7.93862 | 0.344507 | ||||||||
\(532\) | 43.8647 | 1.90178 | ||||||||
\(533\) | −3.49063 | −0.151196 | ||||||||
\(534\) | 13.3298 | 0.576836 | ||||||||
\(535\) | 4.18097 | 0.180759 | ||||||||
\(536\) | 61.9493 | 2.67580 | ||||||||
\(537\) | −0.00710972 | −0.000306807 0 | ||||||||
\(538\) | 19.9248 | 0.859020 | ||||||||
\(539\) | 2.48809 | 0.107169 | ||||||||
\(540\) | 85.9552 | 3.69892 | ||||||||
\(541\) | −14.9081 | −0.640949 | −0.320475 | − | 0.947257i | \(-0.603842\pi\) | ||||
−0.320475 | + | 0.947257i | \(0.603842\pi\) | |||||||
\(542\) | 29.7215 | 1.27665 | ||||||||
\(543\) | −13.8651 | −0.595006 | ||||||||
\(544\) | −1.75765 | −0.0753585 | ||||||||
\(545\) | 39.8467 | 1.70685 | ||||||||
\(546\) | 27.0978 | 1.15968 | ||||||||
\(547\) | −2.51931 | −0.107718 | −0.0538590 | − | 0.998549i | \(-0.517152\pi\) | ||||
−0.0538590 | + | 0.998549i | \(0.517152\pi\) | |||||||
\(548\) | 36.1666 | 1.54496 | ||||||||
\(549\) | −51.3331 | −2.19084 | ||||||||
\(550\) | −5.52213 | −0.235464 | ||||||||
\(551\) | −1.53411 | −0.0653553 | ||||||||
\(552\) | 104.053 | 4.42879 | ||||||||
\(553\) | −9.41611 | −0.400414 | ||||||||
\(554\) | 38.2668 | 1.62580 | ||||||||
\(555\) | 52.2472 | 2.21777 | ||||||||
\(556\) | 8.24140 | 0.349513 | ||||||||
\(557\) | 19.8919 | 0.842845 | 0.421422 | − | 0.906864i | \(-0.361531\pi\) | ||||
0.421422 | + | 0.906864i | \(0.361531\pi\) | |||||||
\(558\) | −7.86813 | −0.333085 | ||||||||
\(559\) | −4.03815 | −0.170795 | ||||||||
\(560\) | −114.530 | −4.83976 | ||||||||
\(561\) | −0.183114 | −0.00773109 | ||||||||
\(562\) | −50.5087 | −2.13058 | ||||||||
\(563\) | −43.0671 | −1.81506 | −0.907531 | − | 0.419985i | \(-0.862035\pi\) | ||||
−0.907531 | + | 0.419985i | \(0.862035\pi\) | |||||||
\(564\) | −36.5721 | −1.53996 | ||||||||
\(565\) | 11.0366 | 0.464314 | ||||||||
\(566\) | 32.5062 | 1.36634 | ||||||||
\(567\) | 2.32337 | 0.0975725 | ||||||||
\(568\) | 114.361 | 4.79847 | ||||||||
\(569\) | −30.1139 | −1.26244 | −0.631221 | − | 0.775603i | \(-0.717446\pi\) | ||||
−0.631221 | + | 0.775603i | \(0.717446\pi\) | |||||||
\(570\) | −59.1948 | −2.47940 | ||||||||
\(571\) | −24.7281 | −1.03484 | −0.517419 | − | 0.855732i | \(-0.673107\pi\) | ||||
−0.517419 | + | 0.855732i | \(0.673107\pi\) | |||||||
\(572\) | 1.82831 | 0.0764454 | ||||||||
\(573\) | 24.3803 | 1.01850 | ||||||||
\(574\) | 33.5537 | 1.40050 | ||||||||
\(575\) | 27.9670 | 1.16631 | ||||||||
\(576\) | 37.9993 | 1.58330 | ||||||||
\(577\) | −4.78224 | −0.199087 | −0.0995437 | − | 0.995033i | \(-0.531738\pi\) | ||||
−0.0995437 | + | 0.995033i | \(0.531738\pi\) | |||||||
\(578\) | 44.3086 | 1.84299 | ||||||||
\(579\) | 15.0442 | 0.625217 | ||||||||
\(580\) | 9.71340 | 0.403327 | ||||||||
\(581\) | −44.6771 | −1.85352 | ||||||||
\(582\) | 96.8583 | 4.01491 | ||||||||
\(583\) | −0.0445956 | −0.00184696 | ||||||||
\(584\) | −44.9132 | −1.85852 | ||||||||
\(585\) | −16.0847 | −0.665021 | ||||||||
\(586\) | 50.4196 | 2.08281 | ||||||||
\(587\) | 23.1341 | 0.954845 | 0.477422 | − | 0.878674i | \(-0.341571\pi\) | ||||
0.477422 | + | 0.878674i | \(0.341571\pi\) | |||||||
\(588\) | −89.0053 | −3.67052 | ||||||||
\(589\) | 1.50684 | 0.0620884 | ||||||||
\(590\) | 13.6233 | 0.560861 | ||||||||
\(591\) | 24.6936 | 1.01576 | ||||||||
\(592\) | 54.5346 | 2.24136 | ||||||||
\(593\) | 16.1018 | 0.661222 | 0.330611 | − | 0.943767i | \(-0.392745\pi\) | ||||
0.330611 | + | 0.943767i | \(0.392745\pi\) | |||||||
\(594\) | 5.43910 | 0.223169 | ||||||||
\(595\) | −2.04859 | −0.0839838 | ||||||||
\(596\) | 62.2429 | 2.54957 | ||||||||
\(597\) | −3.45372 | −0.141351 | ||||||||
\(598\) | −13.1043 | −0.535874 | ||||||||
\(599\) | 3.15559 | 0.128934 | 0.0644669 | − | 0.997920i | \(-0.479465\pi\) | ||||
0.0644669 | + | 0.997920i | \(0.479465\pi\) | |||||||
\(600\) | 115.518 | 4.71599 | ||||||||
\(601\) | 22.8514 | 0.932130 | 0.466065 | − | 0.884751i | \(-0.345671\pi\) | ||||
0.466065 | + | 0.884751i | \(0.345671\pi\) | |||||||
\(602\) | 38.8166 | 1.58205 | ||||||||
\(603\) | −41.6715 | −1.69700 | ||||||||
\(604\) | 4.78374 | 0.194648 | ||||||||
\(605\) | 35.2978 | 1.43506 | ||||||||
\(606\) | −69.7468 | −2.83327 | ||||||||
\(607\) | −36.3461 | −1.47524 | −0.737621 | − | 0.675214i | \(-0.764051\pi\) | ||||
−0.737621 | + | 0.675214i | \(0.764051\pi\) | |||||||
\(608\) | −25.4053 | −1.03032 | ||||||||
\(609\) | 6.43705 | 0.260842 | ||||||||
\(610\) | −88.0914 | −3.56672 | ||||||||
\(611\) | 2.69340 | 0.108963 | ||||||||
\(612\) | 4.07763 | 0.164828 | ||||||||
\(613\) | 46.2547 | 1.86821 | 0.934104 | − | 0.357001i | \(-0.116201\pi\) | ||||
0.934104 | + | 0.357001i | \(0.116201\pi\) | |||||||
\(614\) | −79.9028 | −3.22462 | ||||||||
\(615\) | −31.9951 | −1.29017 | ||||||||
\(616\) | −10.2773 | −0.414082 | ||||||||
\(617\) | 10.2995 | 0.414643 | 0.207322 | − | 0.978273i | \(-0.433525\pi\) | ||||
0.207322 | + | 0.978273i | \(0.433525\pi\) | |||||||
\(618\) | −6.15668 | −0.247658 | ||||||||
\(619\) | −7.35776 | −0.295733 | −0.147867 | − | 0.989007i | \(-0.547241\pi\) | ||||
−0.147867 | + | 0.989007i | \(0.547241\pi\) | |||||||
\(620\) | −9.54077 | −0.383167 | ||||||||
\(621\) | −27.5465 | −1.10540 | ||||||||
\(622\) | −42.3044 | −1.69625 | ||||||||
\(623\) | 6.66784 | 0.267141 | ||||||||
\(624\) | −26.9704 | −1.07968 | ||||||||
\(625\) | −21.8121 | −0.872483 | ||||||||
\(626\) | 78.3347 | 3.13089 | ||||||||
\(627\) | −2.64676 | −0.105701 | ||||||||
\(628\) | −22.3907 | −0.893485 | ||||||||
\(629\) | 0.975457 | 0.0388940 | ||||||||
\(630\) | 154.614 | 6.15997 | ||||||||
\(631\) | −0.774104 | −0.0308166 | −0.0154083 | − | 0.999881i | \(-0.504905\pi\) | ||||
−0.0154083 | + | 0.999881i | \(0.504905\pi\) | |||||||
\(632\) | 18.8084 | 0.748160 | ||||||||
\(633\) | −24.7607 | −0.984151 | ||||||||
\(634\) | −39.8851 | −1.58404 | ||||||||
\(635\) | −52.8888 | −2.09883 | ||||||||
\(636\) | 1.59530 | 0.0632577 | ||||||||
\(637\) | 6.55491 | 0.259715 | ||||||||
\(638\) | 0.614647 | 0.0243341 | ||||||||
\(639\) | −76.9271 | −3.04319 | ||||||||
\(640\) | −1.58143 | −0.0625114 | ||||||||
\(641\) | −21.5952 | −0.852959 | −0.426480 | − | 0.904497i | \(-0.640246\pi\) | ||||
−0.426480 | + | 0.904497i | \(0.640246\pi\) | |||||||
\(642\) | −9.46417 | −0.373521 | ||||||||
\(643\) | −29.1196 | −1.14836 | −0.574182 | − | 0.818728i | \(-0.694680\pi\) | ||||
−0.574182 | + | 0.818728i | \(0.694680\pi\) | |||||||
\(644\) | 89.0072 | 3.50738 | ||||||||
\(645\) | −37.0136 | −1.45741 | ||||||||
\(646\) | −1.10517 | −0.0434823 | ||||||||
\(647\) | 2.40262 | 0.0944569 | 0.0472284 | − | 0.998884i | \(-0.484961\pi\) | ||||
0.0472284 | + | 0.998884i | \(0.484961\pi\) | |||||||
\(648\) | −4.64088 | −0.182311 | ||||||||
\(649\) | 0.609132 | 0.0239105 | ||||||||
\(650\) | −14.5482 | −0.570625 | ||||||||
\(651\) | −6.32264 | −0.247804 | ||||||||
\(652\) | −107.831 | −4.22298 | ||||||||
\(653\) | −23.4039 | −0.915866 | −0.457933 | − | 0.888987i | \(-0.651410\pi\) | ||||
−0.457933 | + | 0.888987i | \(0.651410\pi\) | |||||||
\(654\) | −90.1982 | −3.52703 | ||||||||
\(655\) | 27.0536 | 1.05707 | ||||||||
\(656\) | −33.3959 | −1.30389 | ||||||||
\(657\) | 30.2118 | 1.17867 | ||||||||
\(658\) | −25.8903 | −1.00931 | ||||||||
\(659\) | −31.0942 | −1.21126 | −0.605629 | − | 0.795747i | \(-0.707078\pi\) | ||||
−0.605629 | + | 0.795747i | \(0.707078\pi\) | |||||||
\(660\) | 16.7583 | 0.652315 | ||||||||
\(661\) | −39.7818 | −1.54733 | −0.773666 | − | 0.633594i | \(-0.781579\pi\) | ||||
−0.773666 | + | 0.633594i | \(0.781579\pi\) | |||||||
\(662\) | 69.7618 | 2.71137 | ||||||||
\(663\) | −0.482418 | −0.0187356 | ||||||||
\(664\) | 89.2415 | 3.46324 | ||||||||
\(665\) | −29.6105 | −1.14825 | ||||||||
\(666\) | −73.6213 | −2.85277 | ||||||||
\(667\) | −3.11291 | −0.120532 | ||||||||
\(668\) | −8.42207 | −0.325860 | ||||||||
\(669\) | −16.6348 | −0.643137 | ||||||||
\(670\) | −71.5114 | −2.76273 | ||||||||
\(671\) | −3.93880 | −0.152056 | ||||||||
\(672\) | 106.599 | 4.11215 | ||||||||
\(673\) | −23.4838 | −0.905234 | −0.452617 | − | 0.891705i | \(-0.649509\pi\) | ||||
−0.452617 | + | 0.891705i | \(0.649509\pi\) | |||||||
\(674\) | −38.5091 | −1.48331 | ||||||||
\(675\) | −30.5816 | −1.17709 | ||||||||
\(676\) | 4.81671 | 0.185258 | ||||||||
\(677\) | 16.0482 | 0.616782 | 0.308391 | − | 0.951260i | \(-0.400209\pi\) | ||||
0.308391 | + | 0.951260i | \(0.400209\pi\) | |||||||
\(678\) | −24.9828 | −0.959459 | ||||||||
\(679\) | 48.4506 | 1.85936 | ||||||||
\(680\) | 4.09200 | 0.156921 | ||||||||
\(681\) | −81.0545 | −3.10601 | ||||||||
\(682\) | −0.603723 | −0.0231178 | ||||||||
\(683\) | 28.9030 | 1.10594 | 0.552972 | − | 0.833200i | \(-0.313494\pi\) | ||||
0.552972 | + | 0.833200i | \(0.313494\pi\) | |||||||
\(684\) | 58.9386 | 2.25357 | ||||||||
\(685\) | −24.4140 | −0.932809 | ||||||||
\(686\) | 4.27842 | 0.163351 | ||||||||
\(687\) | −54.4886 | −2.07887 | ||||||||
\(688\) | −38.6341 | −1.47291 | ||||||||
\(689\) | −0.117488 | −0.00447593 | ||||||||
\(690\) | −120.114 | −4.57266 | ||||||||
\(691\) | 15.1346 | 0.575749 | 0.287875 | − | 0.957668i | \(-0.407051\pi\) | ||||
0.287875 | + | 0.957668i | \(0.407051\pi\) | |||||||
\(692\) | 31.0915 | 1.18192 | ||||||||
\(693\) | 6.91321 | 0.262611 | ||||||||
\(694\) | 63.7232 | 2.41890 | ||||||||
\(695\) | −5.56329 | −0.211027 | ||||||||
\(696\) | −12.8578 | −0.487375 | ||||||||
\(697\) | −0.597350 | −0.0226262 | ||||||||
\(698\) | −26.3238 | −0.996369 | ||||||||
\(699\) | 25.8688 | 0.978447 | ||||||||
\(700\) | 98.8142 | 3.73483 | ||||||||
\(701\) | 8.82552 | 0.333335 | 0.166668 | − | 0.986013i | \(-0.446699\pi\) | ||||
0.166668 | + | 0.986013i | \(0.446699\pi\) | |||||||
\(702\) | 14.3294 | 0.540828 | ||||||||
\(703\) | 14.0994 | 0.531768 | ||||||||
\(704\) | 2.91569 | 0.109889 | ||||||||
\(705\) | 24.6877 | 0.929792 | ||||||||
\(706\) | 44.9687 | 1.69242 | ||||||||
\(707\) | −34.8888 | −1.31213 | ||||||||
\(708\) | −21.7902 | −0.818927 | ||||||||
\(709\) | −21.2446 | −0.797857 | −0.398929 | − | 0.916982i | \(-0.630618\pi\) | ||||
−0.398929 | + | 0.916982i | \(0.630618\pi\) | |||||||
\(710\) | −132.013 | −4.95434 | ||||||||
\(711\) | −12.6519 | −0.474483 | ||||||||
\(712\) | −13.3189 | −0.499145 | ||||||||
\(713\) | 3.05758 | 0.114507 | ||||||||
\(714\) | 4.63724 | 0.173544 | ||||||||
\(715\) | −1.23418 | −0.0461559 | ||||||||
\(716\) | 0.0121480 | 0.000453992 0 | ||||||||
\(717\) | 20.8318 | 0.777978 | ||||||||
\(718\) | 78.5588 | 2.93179 | ||||||||
\(719\) | −8.06348 | −0.300717 | −0.150359 | − | 0.988632i | \(-0.548043\pi\) | ||||
−0.150359 | + | 0.988632i | \(0.548043\pi\) | |||||||
\(720\) | −153.887 | −5.73503 | ||||||||
\(721\) | −3.07970 | −0.114694 | ||||||||
\(722\) | 33.6325 | 1.25167 | ||||||||
\(723\) | −80.7588 | −3.00345 | ||||||||
\(724\) | 23.6905 | 0.880449 | ||||||||
\(725\) | −3.45589 | −0.128349 | ||||||||
\(726\) | −79.9011 | −2.96541 | ||||||||
\(727\) | −34.2844 | −1.27154 | −0.635768 | − | 0.771880i | \(-0.719317\pi\) | ||||
−0.635768 | + | 0.771880i | \(0.719317\pi\) | |||||||
\(728\) | −27.0756 | −1.00349 | ||||||||
\(729\) | −43.2934 | −1.60346 | ||||||||
\(730\) | 51.8456 | 1.91889 | ||||||||
\(731\) | −0.691046 | −0.0255593 | ||||||||
\(732\) | 140.901 | 5.20786 | ||||||||
\(733\) | −2.80435 | −0.103581 | −0.0517905 | − | 0.998658i | \(-0.516493\pi\) | ||||
−0.0517905 | + | 0.998658i | \(0.516493\pi\) | |||||||
\(734\) | 6.24749 | 0.230599 | ||||||||
\(735\) | 60.0823 | 2.21617 | ||||||||
\(736\) | −51.5505 | −1.90018 | ||||||||
\(737\) | −3.19746 | −0.117780 | ||||||||
\(738\) | 45.0842 | 1.65957 | ||||||||
\(739\) | −30.5337 | −1.12320 | −0.561600 | − | 0.827409i | \(-0.689814\pi\) | ||||
−0.561600 | + | 0.827409i | \(0.689814\pi\) | |||||||
\(740\) | −89.2720 | −3.28170 | ||||||||
\(741\) | −6.97293 | −0.256157 | ||||||||
\(742\) | 1.12935 | 0.0414597 | ||||||||
\(743\) | 24.0083 | 0.880778 | 0.440389 | − | 0.897807i | \(-0.354841\pi\) | ||||
0.440389 | + | 0.897807i | \(0.354841\pi\) | |||||||
\(744\) | 12.6293 | 0.463014 | ||||||||
\(745\) | −42.0165 | −1.53937 | ||||||||
\(746\) | 4.79224 | 0.175457 | ||||||||
\(747\) | −60.0302 | −2.19639 | ||||||||
\(748\) | 0.312877 | 0.0114399 | ||||||||
\(749\) | −4.73418 | −0.172983 | ||||||||
\(750\) | −13.6916 | −0.499946 | ||||||||
\(751\) | 10.1566 | 0.370620 | 0.185310 | − | 0.982680i | \(-0.440671\pi\) | ||||
0.185310 | + | 0.982680i | \(0.440671\pi\) | |||||||
\(752\) | 25.7685 | 0.939682 | ||||||||
\(753\) | 58.3327 | 2.12576 | ||||||||
\(754\) | 1.61930 | 0.0589714 | ||||||||
\(755\) | −3.22923 | −0.117524 | ||||||||
\(756\) | −97.3283 | −3.53980 | ||||||||
\(757\) | −43.9592 | −1.59773 | −0.798863 | − | 0.601513i | \(-0.794565\pi\) | ||||
−0.798863 | + | 0.601513i | \(0.794565\pi\) | |||||||
\(758\) | −39.9558 | −1.45126 | ||||||||
\(759\) | −5.37061 | −0.194941 | ||||||||
\(760\) | 59.1463 | 2.14546 | ||||||||
\(761\) | −18.6461 | −0.675922 | −0.337961 | − | 0.941160i | \(-0.609737\pi\) | ||||
−0.337961 | + | 0.941160i | \(0.609737\pi\) | |||||||
\(762\) | 119.721 | 4.33702 | ||||||||
\(763\) | −45.1191 | −1.63342 | ||||||||
\(764\) | −41.6574 | −1.50711 | ||||||||
\(765\) | −2.75257 | −0.0995193 | ||||||||
\(766\) | −68.7856 | −2.48533 | ||||||||
\(767\) | 1.60477 | 0.0579449 | ||||||||
\(768\) | 46.8881 | 1.69193 | ||||||||
\(769\) | −12.3991 | −0.447123 | −0.223562 | − | 0.974690i | \(-0.571768\pi\) | ||||
−0.223562 | + | 0.974690i | \(0.571768\pi\) | |||||||
\(770\) | 11.8636 | 0.427534 | ||||||||
\(771\) | −73.5751 | −2.64974 | ||||||||
\(772\) | −25.7053 | −0.925153 | ||||||||
\(773\) | 23.1628 | 0.833110 | 0.416555 | − | 0.909111i | \(-0.363237\pi\) | ||||
0.416555 | + | 0.909111i | \(0.363237\pi\) | |||||||
\(774\) | 52.1557 | 1.87470 | ||||||||
\(775\) | 3.39447 | 0.121933 | ||||||||
\(776\) | −96.7789 | −3.47416 | ||||||||
\(777\) | −59.1603 | −2.12236 | ||||||||
\(778\) | −30.6583 | −1.09915 | ||||||||
\(779\) | −8.63417 | −0.309351 | ||||||||
\(780\) | 44.1500 | 1.58082 | ||||||||
\(781\) | −5.90263 | −0.211213 | ||||||||
\(782\) | −2.24253 | −0.0801927 | ||||||||
\(783\) | 3.40393 | 0.121646 | ||||||||
\(784\) | 62.7127 | 2.23974 | ||||||||
\(785\) | 15.1146 | 0.539464 | ||||||||
\(786\) | −61.2394 | −2.18434 | ||||||||
\(787\) | 13.0822 | 0.466329 | 0.233165 | − | 0.972437i | \(-0.425092\pi\) | ||||
0.233165 | + | 0.972437i | \(0.425092\pi\) | |||||||
\(788\) | −42.1925 | −1.50305 | ||||||||
\(789\) | 4.49624 | 0.160070 | ||||||||
\(790\) | −21.7116 | −0.772463 | ||||||||
\(791\) | −12.4969 | −0.444340 | ||||||||
\(792\) | −13.8090 | −0.490680 | ||||||||
\(793\) | −10.3768 | −0.368492 | ||||||||
\(794\) | 44.2231 | 1.56942 | ||||||||
\(795\) | −1.07689 | −0.0381934 | ||||||||
\(796\) | 5.90119 | 0.209162 | ||||||||
\(797\) | −30.1599 | −1.06832 | −0.534160 | − | 0.845384i | \(-0.679372\pi\) | ||||
−0.534160 | + | 0.845384i | \(0.679372\pi\) | |||||||
\(798\) | 67.0272 | 2.37274 | ||||||||
\(799\) | 0.460920 | 0.0163062 | ||||||||
\(800\) | −57.2305 | −2.02340 | ||||||||
\(801\) | 8.95920 | 0.316558 | ||||||||
\(802\) | 12.8701 | 0.454460 | ||||||||
\(803\) | 2.31816 | 0.0818059 | ||||||||
\(804\) | 114.382 | 4.03393 | ||||||||
\(805\) | −60.0835 | −2.11767 | ||||||||
\(806\) | −1.59052 | −0.0560237 | ||||||||
\(807\) | 21.5132 | 0.757302 | ||||||||
\(808\) | 69.6896 | 2.45167 | ||||||||
\(809\) | 48.3152 | 1.69867 | 0.849337 | − | 0.527851i | \(-0.177002\pi\) | ||||
0.849337 | + | 0.527851i | \(0.177002\pi\) | |||||||
\(810\) | 5.35721 | 0.188233 | ||||||||
\(811\) | −42.7157 | −1.49995 | −0.749976 | − | 0.661465i | \(-0.769935\pi\) | ||||
−0.749976 | + | 0.661465i | \(0.769935\pi\) | |||||||
\(812\) | −10.9986 | −0.385976 | ||||||||
\(813\) | 32.0910 | 1.12548 | ||||||||
\(814\) | −5.64898 | −0.197996 | ||||||||
\(815\) | 72.7903 | 2.54973 | ||||||||
\(816\) | −4.61543 | −0.161572 | ||||||||
\(817\) | −9.98847 | −0.349452 | ||||||||
\(818\) | −38.2974 | −1.33904 | ||||||||
\(819\) | 18.2130 | 0.636413 | ||||||||
\(820\) | 54.6683 | 1.90910 | ||||||||
\(821\) | 38.7440 | 1.35218 | 0.676088 | − | 0.736821i | \(-0.263674\pi\) | ||||
0.676088 | + | 0.736821i | \(0.263674\pi\) | |||||||
\(822\) | 55.2641 | 1.92756 | ||||||||
\(823\) | −27.2814 | −0.950970 | −0.475485 | − | 0.879724i | \(-0.657727\pi\) | ||||
−0.475485 | + | 0.879724i | \(0.657727\pi\) | |||||||
\(824\) | 6.15163 | 0.214302 | ||||||||
\(825\) | −5.96236 | −0.207583 | ||||||||
\(826\) | −15.4258 | −0.536733 | ||||||||
\(827\) | 19.6805 | 0.684357 | 0.342179 | − | 0.939635i | \(-0.388835\pi\) | ||||
0.342179 | + | 0.939635i | \(0.388835\pi\) | |||||||
\(828\) | 119.594 | 4.15618 | ||||||||
\(829\) | 39.9718 | 1.38828 | 0.694140 | − | 0.719840i | \(-0.255785\pi\) | ||||
0.694140 | + | 0.719840i | \(0.255785\pi\) | |||||||
\(830\) | −103.016 | −3.57575 | ||||||||
\(831\) | 41.3175 | 1.43329 | ||||||||
\(832\) | 7.68144 | 0.266306 | ||||||||
\(833\) | 1.12174 | 0.0388659 | ||||||||
\(834\) | 12.5932 | 0.436067 | ||||||||
\(835\) | 5.68525 | 0.196746 | ||||||||
\(836\) | 4.52237 | 0.156409 | ||||||||
\(837\) | −3.34343 | −0.115566 | ||||||||
\(838\) | −23.0166 | −0.795094 | ||||||||
\(839\) | −10.5143 | −0.362995 | −0.181497 | − | 0.983391i | \(-0.558094\pi\) | ||||
−0.181497 | + | 0.983391i | \(0.558094\pi\) | |||||||
\(840\) | −248.175 | −8.56285 | ||||||||
\(841\) | −28.6153 | −0.986736 | ||||||||
\(842\) | 56.7373 | 1.95530 | ||||||||
\(843\) | −54.5352 | −1.87829 | ||||||||
\(844\) | 42.3073 | 1.45628 | ||||||||
\(845\) | −3.25148 | −0.111854 | ||||||||
\(846\) | −34.7873 | −1.19601 | ||||||||
\(847\) | −39.9682 | −1.37332 | ||||||||
\(848\) | −1.12404 | −0.0385997 | ||||||||
\(849\) | 35.0976 | 1.20455 | ||||||||
\(850\) | −2.48962 | −0.0853932 | ||||||||
\(851\) | 28.6095 | 0.980719 | ||||||||
\(852\) | 211.152 | 7.23396 | ||||||||
\(853\) | 20.3293 | 0.696061 | 0.348030 | − | 0.937483i | \(-0.386851\pi\) | ||||
0.348030 | + | 0.937483i | \(0.386851\pi\) | |||||||
\(854\) | 99.7473 | 3.41328 | ||||||||
\(855\) | −39.7860 | −1.36065 | ||||||||
\(856\) | 9.45641 | 0.323213 | ||||||||
\(857\) | 9.44347 | 0.322583 | 0.161291 | − | 0.986907i | \(-0.448434\pi\) | ||||
0.161291 | + | 0.986907i | \(0.448434\pi\) | |||||||
\(858\) | 2.79373 | 0.0953765 | ||||||||
\(859\) | 1.29149 | 0.0440651 | 0.0220325 | − | 0.999757i | \(-0.492986\pi\) | ||||
0.0220325 | + | 0.999757i | \(0.492986\pi\) | |||||||
\(860\) | 63.2432 | 2.15658 | ||||||||
\(861\) | 36.2286 | 1.23467 | ||||||||
\(862\) | −39.1084 | −1.33204 | ||||||||
\(863\) | 0.297237 | 0.0101181 | 0.00505904 | − | 0.999987i | \(-0.498390\pi\) | ||||
0.00505904 | + | 0.999987i | \(0.498390\pi\) | |||||||
\(864\) | 56.3699 | 1.91774 | ||||||||
\(865\) | −20.9880 | −0.713615 | ||||||||
\(866\) | −90.1846 | −3.06460 | ||||||||
\(867\) | 47.8408 | 1.62476 | ||||||||
\(868\) | 10.8032 | 0.366683 | ||||||||
\(869\) | −0.970782 | −0.0329315 | ||||||||
\(870\) | 14.8425 | 0.503208 | ||||||||
\(871\) | −8.42378 | −0.285429 | ||||||||
\(872\) | 90.1242 | 3.05199 | ||||||||
\(873\) | 65.1003 | 2.20331 | ||||||||
\(874\) | −32.4138 | −1.09641 | ||||||||
\(875\) | −6.84882 | −0.231532 | ||||||||
\(876\) | −82.9264 | −2.80183 | ||||||||
\(877\) | 7.74947 | 0.261681 | 0.130841 | − | 0.991403i | \(-0.458232\pi\) | ||||
0.130841 | + | 0.991403i | \(0.458232\pi\) | |||||||
\(878\) | 6.82202 | 0.230232 | ||||||||
\(879\) | 54.4391 | 1.83618 | ||||||||
\(880\) | −11.8078 | −0.398041 | ||||||||
\(881\) | 20.2727 | 0.683004 | 0.341502 | − | 0.939881i | \(-0.389064\pi\) | ||||
0.341502 | + | 0.939881i | \(0.389064\pi\) | |||||||
\(882\) | −84.6616 | −2.85070 | ||||||||
\(883\) | 12.5895 | 0.423671 | 0.211836 | − | 0.977305i | \(-0.432056\pi\) | ||||
0.211836 | + | 0.977305i | \(0.432056\pi\) | |||||||
\(884\) | 0.824281 | 0.0277236 | ||||||||
\(885\) | 14.7093 | 0.494448 | ||||||||
\(886\) | 68.7350 | 2.30920 | ||||||||
\(887\) | −57.7191 | −1.93802 | −0.969009 | − | 0.247027i | \(-0.920546\pi\) | ||||
−0.969009 | + | 0.247027i | \(0.920546\pi\) | |||||||
\(888\) | 118.171 | 3.96557 | ||||||||
\(889\) | 59.8868 | 2.00854 | ||||||||
\(890\) | 15.3747 | 0.515360 | ||||||||
\(891\) | 0.239535 | 0.00802473 | ||||||||
\(892\) | 28.4229 | 0.951670 | ||||||||
\(893\) | 6.66220 | 0.222942 | ||||||||
\(894\) | 95.1098 | 3.18095 | ||||||||
\(895\) | −0.00820040 | −0.000274109 0 | ||||||||
\(896\) | 1.79068 | 0.0598223 | ||||||||
\(897\) | −14.1490 | −0.472420 | ||||||||
\(898\) | 52.1112 | 1.73897 | ||||||||
\(899\) | −0.377826 | −0.0126012 | ||||||||
\(900\) | 132.771 | 4.42570 | ||||||||
\(901\) | −0.0201056 | −0.000669815 0 | ||||||||
\(902\) | 3.45932 | 0.115183 | ||||||||
\(903\) | 41.9111 | 1.39471 | ||||||||
\(904\) | 24.9623 | 0.830234 | ||||||||
\(905\) | −15.9920 | −0.531594 | ||||||||
\(906\) | 7.30976 | 0.242851 | ||||||||
\(907\) | 21.5448 | 0.715382 | 0.357691 | − | 0.933840i | \(-0.383564\pi\) | ||||
0.357691 | + | 0.933840i | \(0.383564\pi\) | |||||||
\(908\) | 138.493 | 4.59606 | ||||||||
\(909\) | −46.8782 | −1.55485 | ||||||||
\(910\) | 31.2548 | 1.03609 | ||||||||
\(911\) | 50.6324 | 1.67753 | 0.838764 | − | 0.544495i | \(-0.183279\pi\) | ||||
0.838764 | + | 0.544495i | \(0.183279\pi\) | |||||||
\(912\) | −66.7120 | −2.20906 | ||||||||
\(913\) | −4.60613 | −0.152441 | ||||||||
\(914\) | 60.2641 | 1.99336 | ||||||||
\(915\) | −95.1141 | −3.14437 | ||||||||
\(916\) | 93.1016 | 3.07616 | ||||||||
\(917\) | −30.6332 | −1.01160 | ||||||||
\(918\) | 2.45218 | 0.0809340 | ||||||||
\(919\) | −46.1772 | −1.52325 | −0.761623 | − | 0.648020i | \(-0.775597\pi\) | ||||
−0.761623 | + | 0.648020i | \(0.775597\pi\) | |||||||
\(920\) | 120.015 | 3.95679 | ||||||||
\(921\) | −86.2727 | −2.84278 | ||||||||
\(922\) | 28.4230 | 0.936060 | ||||||||
\(923\) | −15.5506 | −0.511854 | ||||||||
\(924\) | −18.9756 | −0.624253 | ||||||||
\(925\) | 31.7617 | 1.04432 | ||||||||
\(926\) | −2.61088 | −0.0857989 | ||||||||
\(927\) | −4.13802 | −0.135910 | ||||||||
\(928\) | 6.37010 | 0.209109 | ||||||||
\(929\) | 53.3269 | 1.74960 | 0.874800 | − | 0.484484i | \(-0.160993\pi\) | ||||
0.874800 | + | 0.484484i | \(0.160993\pi\) | |||||||
\(930\) | −14.5787 | −0.478054 | ||||||||
\(931\) | 16.2137 | 0.531384 | ||||||||
\(932\) | −44.2006 | −1.44784 | ||||||||
\(933\) | −45.6769 | −1.49540 | ||||||||
\(934\) | −102.820 | −3.36438 | ||||||||
\(935\) | −0.211205 | −0.00690715 | ||||||||
\(936\) | −36.3800 | −1.18912 | ||||||||
\(937\) | −5.73763 | −0.187440 | −0.0937201 | − | 0.995599i | \(-0.529876\pi\) | ||||
−0.0937201 | + | 0.995599i | \(0.529876\pi\) | |||||||
\(938\) | 80.9735 | 2.64388 | ||||||||
\(939\) | 84.5796 | 2.76015 | ||||||||
\(940\) | −42.1825 | −1.37584 | ||||||||
\(941\) | −16.2390 | −0.529376 | −0.264688 | − | 0.964334i | \(-0.585269\pi\) | ||||
−0.264688 | + | 0.964334i | \(0.585269\pi\) | |||||||
\(942\) | −34.2139 | −1.11475 | ||||||||
\(943\) | −17.5198 | −0.570525 | ||||||||
\(944\) | 15.3533 | 0.499707 | ||||||||
\(945\) | 65.7007 | 2.13724 | ||||||||
\(946\) | 4.00192 | 0.130114 | ||||||||
\(947\) | −46.2988 | −1.50451 | −0.752254 | − | 0.658873i | \(-0.771034\pi\) | ||||
−0.752254 | + | 0.658873i | \(0.771034\pi\) | |||||||
\(948\) | 34.7274 | 1.12789 | ||||||||
\(949\) | 6.10722 | 0.198249 | ||||||||
\(950\) | −35.9853 | −1.16752 | ||||||||
\(951\) | −43.0647 | −1.39647 | ||||||||
\(952\) | −4.63343 | −0.150170 | ||||||||
\(953\) | −45.1077 | −1.46118 | −0.730590 | − | 0.682816i | \(-0.760755\pi\) | ||||
−0.730590 | + | 0.682816i | \(0.760755\pi\) | |||||||
\(954\) | 1.51744 | 0.0491290 | ||||||||
\(955\) | 28.1204 | 0.909956 | ||||||||
\(956\) | −35.5942 | −1.15120 | ||||||||
\(957\) | 0.663647 | 0.0214527 | ||||||||
\(958\) | −52.6266 | −1.70029 | ||||||||
\(959\) | 27.6443 | 0.892681 | ||||||||
\(960\) | 70.4081 | 2.27241 | ||||||||
\(961\) | −30.6289 | −0.988029 | ||||||||
\(962\) | −14.8823 | −0.479825 | ||||||||
\(963\) | −6.36105 | −0.204982 | ||||||||
\(964\) | 137.988 | 4.44430 | ||||||||
\(965\) | 17.3521 | 0.558585 | ||||||||
\(966\) | 136.007 | 4.37595 | ||||||||
\(967\) | 20.8649 | 0.670970 | 0.335485 | − | 0.942045i | \(-0.391100\pi\) | ||||
0.335485 | + | 0.942045i | \(0.391100\pi\) | |||||||
\(968\) | 79.8356 | 2.56601 | ||||||||
\(969\) | −1.19327 | −0.0383335 | ||||||||
\(970\) | 111.717 | 3.58702 | ||||||||
\(971\) | −42.5483 | −1.36544 | −0.682720 | − | 0.730680i | \(-0.739203\pi\) | ||||
−0.682720 | + | 0.730680i | \(0.739203\pi\) | |||||||
\(972\) | 70.7383 | 2.26893 | ||||||||
\(973\) | 6.29939 | 0.201949 | ||||||||
\(974\) | 63.6276 | 2.03876 | ||||||||
\(975\) | −15.7079 | −0.503056 | ||||||||
\(976\) | −99.2782 | −3.17782 | ||||||||
\(977\) | −60.4983 | −1.93551 | −0.967755 | − | 0.251892i | \(-0.918947\pi\) | ||||
−0.967755 | + | 0.251892i | \(0.918947\pi\) | |||||||
\(978\) | −164.770 | −5.26877 | ||||||||
\(979\) | 0.687442 | 0.0219707 | ||||||||
\(980\) | −102.659 | −3.27933 | ||||||||
\(981\) | −60.6239 | −1.93557 | ||||||||
\(982\) | −47.5669 | −1.51792 | ||||||||
\(983\) | 21.9233 | 0.699244 | 0.349622 | − | 0.936891i | \(-0.386310\pi\) | ||||
0.349622 | + | 0.936891i | \(0.386310\pi\) | |||||||
\(984\) | −72.3657 | −2.30693 | ||||||||
\(985\) | 28.4817 | 0.907503 | ||||||||
\(986\) | 0.277110 | 0.00882498 | ||||||||
\(987\) | −27.9542 | −0.889794 | ||||||||
\(988\) | 11.9143 | 0.379043 | ||||||||
\(989\) | −20.2679 | −0.644481 | ||||||||
\(990\) | 15.9404 | 0.506620 | ||||||||
\(991\) | 56.0460 | 1.78036 | 0.890180 | − | 0.455608i | \(-0.150578\pi\) | ||||
0.890180 | + | 0.455608i | \(0.150578\pi\) | |||||||
\(992\) | −6.25689 | −0.198656 | ||||||||
\(993\) | 75.3232 | 2.39031 | ||||||||
\(994\) | 149.480 | 4.74121 | ||||||||
\(995\) | −3.98354 | −0.126287 | ||||||||
\(996\) | 164.773 | 5.22104 | ||||||||
\(997\) | 33.4915 | 1.06069 | 0.530344 | − | 0.847783i | \(-0.322063\pi\) | ||||
0.530344 | + | 0.847783i | \(0.322063\pi\) | |||||||
\(998\) | −24.5407 | −0.776822 | ||||||||
\(999\) | −31.2841 | −0.989785 |
(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 | 6019.2.a.b.1.4 | ✓ | 101 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6019.2.a.b.1.4 | ✓ | 101 | 1.1 | even | 1 | trivial |