Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(499,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.499");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.j (of order \(6\), degree \(2\), minimal) |
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: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 499.1 | ||
Character | \(\chi\) | \(=\) | 804.499 |
Dual form | 804.2.j.b.775.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41416 | + | 0.0125113i | −0.999961 | + | 0.00884685i | ||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 1.99969 | − | 0.0353860i | 0.999843 | − | 0.0176930i | ||||
\(5\) | 0.567637i | 0.253855i | 0.991912 | + | 0.126928i | \(0.0405116\pi\) | ||||
−0.991912 | + | 0.126928i | \(0.959488\pi\) | |||||||
\(6\) | −1.41416 | + | 0.0125113i | −0.577328 | + | 0.00510773i | ||||
\(7\) | 1.03281 | − | 1.78888i | 0.390365 | − | 0.676132i | −0.602133 | − | 0.798396i | \(-0.705682\pi\) |
0.992498 | + | 0.122264i | \(0.0390155\pi\) | |||||||
\(8\) | −2.82743 | + | 0.0750601i | −0.999648 | + | 0.0265378i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −0.00710190 | − | 0.802729i | −0.00224582 | − | 0.253845i | ||||
\(11\) | −0.251452 | + | 0.435527i | −0.0758156 | + | 0.131316i | −0.901441 | − | 0.432903i | \(-0.857489\pi\) |
0.825625 | + | 0.564219i | \(0.190823\pi\) | |||||||
\(12\) | 1.99969 | − | 0.0353860i | 0.577260 | − | 0.0102151i | ||||
\(13\) | 3.90313 | − | 2.25347i | 1.08253 | − | 0.625000i | 0.150954 | − | 0.988541i | \(-0.451765\pi\) |
0.931578 | + | 0.363540i | \(0.118432\pi\) | |||||||
\(14\) | −1.43817 | + | 2.54268i | −0.384368 | + | 0.679559i | ||||
\(15\) | 0.567637i | 0.146563i | ||||||||
\(16\) | 3.99750 | − | 0.141522i | 0.999374 | − | 0.0353805i | ||||
\(17\) | −2.27908 | − | 3.94748i | −0.552758 | − | 0.957404i | −0.998074 | − | 0.0620311i | \(-0.980242\pi\) |
0.445317 | − | 0.895373i | \(-0.353091\pi\) | |||||||
\(18\) | −1.41416 | + | 0.0125113i | −0.333320 | + | 0.00294895i | ||||
\(19\) | −4.21365 | + | 2.43275i | −0.966676 | + | 0.558111i | −0.898221 | − | 0.439543i | \(-0.855140\pi\) |
−0.0684551 | + | 0.997654i | \(0.521807\pi\) | |||||||
\(20\) | 0.0200864 | + | 1.13510i | 0.00449146 | + | 0.253815i | ||||
\(21\) | 1.03281 | − | 1.78888i | 0.225377 | − | 0.390365i | ||||
\(22\) | 0.350144 | − | 0.619050i | 0.0746509 | − | 0.131982i | ||||
\(23\) | 4.01670 | − | 2.31904i | 0.837539 | − | 0.483553i | −0.0188878 | − | 0.999822i | \(-0.506013\pi\) |
0.856427 | + | 0.516268i | \(0.172679\pi\) | |||||||
\(24\) | −2.82743 | + | 0.0750601i | −0.577147 | + | 0.0153216i | ||||
\(25\) | 4.67779 | 0.935558 | ||||||||
\(26\) | −5.49144 | + | 3.23560i | −1.07696 | + | 0.634553i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 2.00199 | − | 3.61374i | 0.378341 | − | 0.682933i | ||||
\(29\) | −0.433527 | + | 0.750890i | −0.0805039 | + | 0.139437i | −0.903466 | − | 0.428659i | \(-0.858986\pi\) |
0.822963 | + | 0.568096i | \(0.192320\pi\) | |||||||
\(30\) | −0.00710190 | − | 0.802729i | −0.00129662 | − | 0.146558i | ||||
\(31\) | 4.20035 | − | 7.27522i | 0.754405 | − | 1.30667i | −0.191265 | − | 0.981539i | \(-0.561259\pi\) |
0.945670 | − | 0.325129i | \(-0.105408\pi\) | |||||||
\(32\) | −5.65132 | + | 0.250148i | −0.999022 | + | 0.0442204i | ||||
\(33\) | −0.251452 | + | 0.435527i | −0.0437721 | + | 0.0758156i | ||||
\(34\) | 3.27237 | + | 5.55385i | 0.561206 | + | 0.952477i | ||||
\(35\) | 1.01543 | + | 0.586261i | 0.171640 | + | 0.0990961i | ||||
\(36\) | 1.99969 | − | 0.0353860i | 0.333281 | − | 0.00589767i | ||||
\(37\) | −0.346835 | − | 0.600736i | −0.0570193 | − | 0.0987603i | 0.836107 | − | 0.548567i | \(-0.184826\pi\) |
−0.893126 | + | 0.449806i | \(0.851493\pi\) | |||||||
\(38\) | 5.92832 | − | 3.49301i | 0.961701 | − | 0.566641i | ||||
\(39\) | 3.90313 | − | 2.25347i | 0.625000 | − | 0.360844i | ||||
\(40\) | −0.0426070 | − | 1.60496i | −0.00673675 | − | 0.253766i | ||||
\(41\) | 8.12044 | + | 4.68834i | 1.26820 | + | 0.732196i | 0.974647 | − | 0.223747i | \(-0.0718290\pi\) |
0.293553 | + | 0.955943i | \(0.405162\pi\) | |||||||
\(42\) | −1.43817 | + | 2.54268i | −0.221915 | + | 0.392343i | ||||
\(43\) | −8.56474 | −1.30611 | −0.653055 | − | 0.757310i | \(-0.726513\pi\) | ||||
−0.653055 | + | 0.757310i | \(0.726513\pi\) | |||||||
\(44\) | −0.487413 | + | 0.879816i | −0.0734803 | + | 0.132637i | ||||
\(45\) | 0.567637i | 0.0846184i | ||||||||
\(46\) | −5.65123 | + | 3.32975i | −0.833229 | + | 0.490944i | ||||
\(47\) | −7.71589 | − | 4.45477i | −1.12548 | − | 0.649795i | −0.182684 | − | 0.983172i | \(-0.558479\pi\) |
−0.942794 | + | 0.333377i | \(0.891812\pi\) | |||||||
\(48\) | 3.99750 | − | 0.141522i | 0.576989 | − | 0.0204269i | ||||
\(49\) | 1.36661 | + | 2.36705i | 0.195231 | + | 0.338149i | ||||
\(50\) | −6.61513 | + | 0.0585253i | −0.935521 | + | 0.00827673i | ||||
\(51\) | −2.27908 | − | 3.94748i | −0.319135 | − | 0.552758i | ||||
\(52\) | 7.72529 | − | 4.64435i | 1.07130 | − | 0.644056i | ||||
\(53\) | 14.4612i | 1.98639i | 0.116443 | + | 0.993197i | \(0.462851\pi\) | ||||
−0.116443 | + | 0.993197i | \(0.537149\pi\) | |||||||
\(54\) | −1.41416 | + | 0.0125113i | −0.192443 | + | 0.00170258i | ||||
\(55\) | −0.247222 | − | 0.142733i | −0.0333353 | − | 0.0192462i | ||||
\(56\) | −2.78592 | + | 5.13545i | −0.372284 | + | 0.686253i | ||||
\(57\) | −4.21365 | + | 2.43275i | −0.558111 | + | 0.322225i | ||||
\(58\) | 0.603681 | − | 1.06730i | 0.0792671 | − | 0.140144i | ||||
\(59\) | − | 7.96043i | − | 1.03636i | −0.855272 | − | 0.518180i | \(-0.826610\pi\) | ||
0.855272 | − | 0.518180i | \(-0.173390\pi\) | |||||||
\(60\) | 0.0200864 | + | 1.13510i | 0.00259315 | + | 0.146540i | ||||
\(61\) | 7.38094 | − | 4.26139i | 0.945032 | − | 0.545615i | 0.0534981 | − | 0.998568i | \(-0.482963\pi\) |
0.891534 | + | 0.452953i | \(0.149630\pi\) | |||||||
\(62\) | −5.84894 | + | 10.3409i | −0.742816 | + | 1.31329i | ||||
\(63\) | 1.03281 | − | 1.78888i | 0.130122 | − | 0.225377i | ||||
\(64\) | 7.98873 | − | 0.424455i | 0.998591 | − | 0.0530568i | ||||
\(65\) | 1.27915 | + | 2.21556i | 0.158660 | + | 0.274807i | ||||
\(66\) | 0.350144 | − | 0.619050i | 0.0430997 | − | 0.0761998i | ||||
\(67\) | 6.54149 | − | 4.92025i | 0.799170 | − | 0.601105i | ||||
\(68\) | −4.69713 | − | 7.81307i | −0.569610 | − | 0.947474i | ||||
\(69\) | 4.01670 | − | 2.31904i | 0.483553 | − | 0.279180i | ||||
\(70\) | −1.44332 | − | 0.816361i | −0.172510 | − | 0.0975738i | ||||
\(71\) | 4.35912 | + | 2.51674i | 0.517332 | + | 0.298682i | 0.735842 | − | 0.677153i | \(-0.236786\pi\) |
−0.218510 | + | 0.975835i | \(0.570120\pi\) | |||||||
\(72\) | −2.82743 | + | 0.0750601i | −0.333216 | + | 0.00884592i | ||||
\(73\) | −3.10591 | − | 5.37959i | −0.363519 | − | 0.629634i | 0.625018 | − | 0.780610i | \(-0.285092\pi\) |
−0.988537 | + | 0.150976i | \(0.951758\pi\) | |||||||
\(74\) | 0.497995 | + | 0.845196i | 0.0578908 | + | 0.0982520i | ||||
\(75\) | 4.67779 | 0.540144 | ||||||||
\(76\) | −8.33989 | + | 5.01384i | −0.956650 | + | 0.575127i | ||||
\(77\) | 0.519403 | + | 0.899632i | 0.0591914 | + | 0.102523i | ||||
\(78\) | −5.49144 | + | 3.23560i | −0.621784 | + | 0.366359i | ||||
\(79\) | −4.84032 | + | 8.38369i | −0.544579 | + | 0.943238i | 0.454054 | + | 0.890974i | \(0.349977\pi\) |
−0.998633 | + | 0.0522644i | \(0.983356\pi\) | |||||||
\(80\) | 0.0803331 | + | 2.26913i | 0.00898151 | + | 0.253696i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −11.5422 | − | 6.52846i | −1.27463 | − | 0.720947i | ||||
\(83\) | 6.79123 | − | 3.92092i | 0.745434 | − | 0.430377i | −0.0786075 | − | 0.996906i | \(-0.525047\pi\) |
0.824042 | + | 0.566529i | \(0.191714\pi\) | |||||||
\(84\) | 2.00199 | − | 3.61374i | 0.218435 | − | 0.394291i | ||||
\(85\) | 2.24074 | − | 1.29369i | 0.243042 | − | 0.140320i | ||||
\(86\) | 12.1119 | − | 0.107156i | 1.30606 | − | 0.0115550i | ||||
\(87\) | −0.433527 | + | 0.750890i | −0.0464789 | + | 0.0805039i | ||||
\(88\) | 0.678272 | − | 1.25030i | 0.0723040 | − | 0.133282i | ||||
\(89\) | 10.6280 | 1.12656 | 0.563281 | − | 0.826265i | \(-0.309539\pi\) | ||||
0.563281 | + | 0.826265i | \(0.309539\pi\) | |||||||
\(90\) | −0.00710190 | − | 0.802729i | −0.000748606 | − | 0.0846151i | ||||
\(91\) | − | 9.30961i | − | 0.975913i | ||||||
\(92\) | 7.95007 | − | 4.77949i | 0.828853 | − | 0.498296i | ||||
\(93\) | 4.20035 | − | 7.27522i | 0.435556 | − | 0.754405i | ||||
\(94\) | 10.9672 | + | 6.20321i | 1.13118 | + | 0.639813i | ||||
\(95\) | −1.38092 | − | 2.39182i | −0.141679 | − | 0.245396i | ||||
\(96\) | −5.65132 | + | 0.250148i | −0.576786 | + | 0.0255306i | ||||
\(97\) | 9.20546 | − | 5.31478i | 0.934673 | − | 0.539634i | 0.0463866 | − | 0.998924i | \(-0.485229\pi\) |
0.888286 | + | 0.459290i | \(0.151896\pi\) | |||||||
\(98\) | −1.96222 | − | 3.33028i | −0.198215 | − | 0.336409i | ||||
\(99\) | −0.251452 | + | 0.435527i | −0.0252719 | + | 0.0437721i | ||||
\(100\) | 9.35411 | − | 0.165528i | 0.935411 | − | 0.0165528i | ||||
\(101\) | −9.18807 | − | 5.30473i | −0.914247 | − | 0.527841i | −0.0324517 | − | 0.999473i | \(-0.510332\pi\) |
−0.881795 | + | 0.471633i | \(0.843665\pi\) | |||||||
\(102\) | 3.27237 | + | 5.55385i | 0.324012 | + | 0.549913i | ||||
\(103\) | 3.59279 | + | 2.07430i | 0.354009 | + | 0.204387i | 0.666449 | − | 0.745550i | \(-0.267813\pi\) |
−0.312441 | + | 0.949937i | \(0.601147\pi\) | |||||||
\(104\) | −10.8667 | + | 6.66450i | −1.06557 | + | 0.653508i | ||||
\(105\) | 1.01543 | + | 0.586261i | 0.0990961 | + | 0.0572132i | ||||
\(106\) | −0.180928 | − | 20.4504i | −0.0175733 | − | 1.98632i | ||||
\(107\) | − | 5.03323i | − | 0.486581i | −0.969953 | − | 0.243291i | \(-0.921773\pi\) | ||
0.969953 | − | 0.243291i | \(-0.0782269\pi\) | |||||||
\(108\) | 1.99969 | − | 0.0353860i | 0.192420 | − | 0.00340502i | ||||
\(109\) | 2.83143i | 0.271202i | 0.990764 | + | 0.135601i | \(0.0432965\pi\) | ||||
−0.990764 | + | 0.135601i | \(0.956703\pi\) | |||||||
\(110\) | 0.351396 | + | 0.198755i | 0.0335043 | + | 0.0189505i | ||||
\(111\) | −0.346835 | − | 0.600736i | −0.0329201 | − | 0.0570193i | ||||
\(112\) | 3.87548 | − | 7.29719i | 0.366199 | − | 0.689520i | ||||
\(113\) | −7.14336 | − | 4.12422i | −0.671991 | − | 0.387974i | 0.124839 | − | 0.992177i | \(-0.460158\pi\) |
−0.796831 | + | 0.604203i | \(0.793492\pi\) | |||||||
\(114\) | 5.92832 | − | 3.49301i | 0.555238 | − | 0.327150i | ||||
\(115\) | 1.31637 | + | 2.28003i | 0.122753 | + | 0.212614i | ||||
\(116\) | −0.840346 | + | 1.51689i | −0.0780242 | + | 0.140839i | ||||
\(117\) | 3.90313 | − | 2.25347i | 0.360844 | − | 0.208333i | ||||
\(118\) | 0.0995956 | + | 11.2573i | 0.00916852 | + | 1.03632i | ||||
\(119\) | −9.41540 | −0.863108 | ||||||||
\(120\) | −0.0426070 | − | 1.60496i | −0.00388946 | − | 0.146512i | ||||
\(121\) | 5.37354 | + | 9.30725i | 0.488504 | + | 0.846114i | ||||
\(122\) | −10.3845 | + | 6.11862i | −0.940168 | + | 0.553954i | ||||
\(123\) | 8.12044 | + | 4.68834i | 0.732196 | + | 0.422733i | ||||
\(124\) | 8.14194 | − | 14.6968i | 0.731168 | − | 1.31981i | ||||
\(125\) | 5.49348i | 0.491351i | ||||||||
\(126\) | −1.43817 | + | 2.54268i | −0.128123 | + | 0.226520i | ||||
\(127\) | 10.1229 | + | 5.84445i | 0.898261 | + | 0.518611i | 0.876636 | − | 0.481155i | \(-0.159783\pi\) |
0.0216255 | + | 0.999766i | \(0.493116\pi\) | |||||||
\(128\) | −11.2920 | + | 0.700196i | −0.998083 | + | 0.0618892i | ||||
\(129\) | −8.56474 | −0.754083 | ||||||||
\(130\) | −1.83665 | − | 3.11715i | −0.161085 | − | 0.273392i | ||||
\(131\) | 6.99256i | 0.610943i | 0.952201 | + | 0.305471i | \(0.0988141\pi\) | ||||
−0.952201 | + | 0.305471i | \(0.901186\pi\) | |||||||
\(132\) | −0.487413 | + | 0.879816i | −0.0424239 | + | 0.0765781i | ||||
\(133\) | 10.0503i | 0.871467i | ||||||||
\(134\) | −9.18914 | + | 7.03986i | −0.793821 | + | 0.608151i | ||||
\(135\) | 0.567637i | 0.0488545i | ||||||||
\(136\) | 6.74023 | + | 10.9902i | 0.577970 | + | 0.942398i | ||||
\(137\) | − | 14.5906i | − | 1.24656i | −0.781998 | − | 0.623282i | \(-0.785799\pi\) | ||
0.781998 | − | 0.623282i | \(-0.214201\pi\) | |||||||
\(138\) | −5.65123 | + | 3.32975i | −0.481065 | + | 0.283447i | ||||
\(139\) | −20.5318 | −1.74149 | −0.870743 | − | 0.491738i | \(-0.836362\pi\) | ||||
−0.870743 | + | 0.491738i | \(0.836362\pi\) | |||||||
\(140\) | 2.05129 | + | 1.13641i | 0.173366 | + | 0.0960438i | ||||
\(141\) | −7.71589 | − | 4.45477i | −0.649795 | − | 0.375159i | ||||
\(142\) | −6.19597 | − | 3.50453i | −0.519954 | − | 0.294093i | ||||
\(143\) | 2.26656i | 0.189539i | ||||||||
\(144\) | 3.99750 | − | 0.141522i | 0.333125 | − | 0.0117935i | ||||
\(145\) | −0.426233 | − | 0.246086i | −0.0353968 | − | 0.0204363i | ||||
\(146\) | 4.45955 | + | 7.56874i | 0.369075 | + | 0.626393i | ||||
\(147\) | 1.36661 | + | 2.36705i | 0.112716 | + | 0.195231i | ||||
\(148\) | −0.714819 | − | 1.18901i | −0.0587577 | − | 0.0977360i | ||||
\(149\) | −7.52955 | −0.616845 | −0.308422 | − | 0.951249i | \(-0.599801\pi\) | ||||
−0.308422 | + | 0.951249i | \(0.599801\pi\) | |||||||
\(150\) | −6.61513 | + | 0.0585253i | −0.540123 | + | 0.00477857i | ||||
\(151\) | −15.9680 | + | 9.21910i | −1.29945 | + | 0.750240i | −0.980310 | − | 0.197466i | \(-0.936729\pi\) |
−0.319144 | + | 0.947706i | \(0.603395\pi\) | |||||||
\(152\) | 11.7312 | − | 7.19471i | 0.951525 | − | 0.583568i | ||||
\(153\) | −2.27908 | − | 3.94748i | −0.184253 | − | 0.319135i | ||||
\(154\) | −0.745773 | − | 1.26572i | −0.0600961 | − | 0.101995i | ||||
\(155\) | 4.12969 | + | 2.38428i | 0.331704 | + | 0.191510i | ||||
\(156\) | 7.72529 | − | 4.64435i | 0.618518 | − | 0.371846i | ||||
\(157\) | 7.24765 | + | 12.5533i | 0.578425 | + | 1.00186i | 0.995660 | + | 0.0930634i | \(0.0296659\pi\) |
−0.417235 | + | 0.908799i | \(0.637001\pi\) | |||||||
\(158\) | 6.74009 | − | 11.9164i | 0.536213 | − | 0.948019i | ||||
\(159\) | 14.4612i | 1.14685i | ||||||||
\(160\) | −0.141994 | − | 3.20790i | −0.0112256 | − | 0.253607i | ||||
\(161\) | − | 9.58050i | − | 0.755049i | ||||||
\(162\) | −1.41416 | + | 0.0125113i | −0.111107 | + | 0.000982983i | ||||
\(163\) | −4.97065 | − | 2.86980i | −0.389331 | − | 0.224780i | 0.292539 | − | 0.956254i | \(-0.405500\pi\) |
−0.681870 | + | 0.731473i | \(0.738833\pi\) | |||||||
\(164\) | 16.4042 | + | 9.08786i | 1.28096 | + | 0.709643i | ||||
\(165\) | −0.247222 | − | 0.142733i | −0.0192462 | − | 0.0111118i | ||||
\(166\) | −9.55482 | + | 5.62977i | −0.741598 | + | 0.436955i | ||||
\(167\) | 8.12255 | + | 4.68956i | 0.628542 | + | 0.362889i | 0.780187 | − | 0.625546i | \(-0.215124\pi\) |
−0.151645 | + | 0.988435i | \(0.548457\pi\) | |||||||
\(168\) | −2.78592 | + | 5.13545i | −0.214938 | + | 0.396208i | ||||
\(169\) | 3.65626 | − | 6.33283i | 0.281251 | − | 0.487141i | ||||
\(170\) | −3.15257 | + | 1.85752i | −0.241791 | + | 0.142465i | ||||
\(171\) | −4.21365 | + | 2.43275i | −0.322225 | + | 0.186037i | ||||
\(172\) | −17.1268 | + | 0.303072i | −1.30591 | + | 0.0231090i | ||||
\(173\) | 6.21674 | + | 10.7677i | 0.472650 | + | 0.818654i | 0.999510 | − | 0.0312980i | \(-0.00996410\pi\) |
−0.526860 | + | 0.849952i | \(0.676631\pi\) | |||||||
\(174\) | 0.603681 | − | 1.06730i | 0.0457649 | − | 0.0809119i | ||||
\(175\) | 4.83126 | − | 8.36798i | 0.365209 | − | 0.632560i | ||||
\(176\) | −0.943541 | + | 1.77660i | −0.0711221 | + | 0.133917i | ||||
\(177\) | − | 7.96043i | − | 0.598343i | ||||||
\(178\) | −15.0296 | + | 0.132970i | −1.12652 | + | 0.00996653i | ||||
\(179\) | −20.9617 | −1.56675 | −0.783377 | − | 0.621547i | \(-0.786504\pi\) | ||||
−0.783377 | + | 0.621547i | \(0.786504\pi\) | |||||||
\(180\) | 0.0200864 | + | 1.13510i | 0.00149715 | + | 0.0846052i | ||||
\(181\) | −4.79979 | + | 8.31348i | −0.356765 | + | 0.617936i | −0.987418 | − | 0.158129i | \(-0.949454\pi\) |
0.630653 | + | 0.776065i | \(0.282787\pi\) | |||||||
\(182\) | 0.116476 | + | 13.1653i | 0.00863375 | + | 0.975875i | ||||
\(183\) | 7.38094 | − | 4.26139i | 0.545615 | − | 0.315011i | ||||
\(184\) | −11.1829 | + | 6.85842i | −0.824412 | + | 0.505610i | ||||
\(185\) | 0.341000 | − | 0.196876i | 0.0250708 | − | 0.0144746i | ||||
\(186\) | −5.84894 | + | 10.3409i | −0.428865 | + | 0.758229i | ||||
\(187\) | 2.29231 | 0.167630 | ||||||||
\(188\) | −15.5870 | − | 8.63511i | −1.13680 | − | 0.629780i | ||||
\(189\) | 1.03281 | − | 1.78888i | 0.0751257 | − | 0.130122i | ||||
\(190\) | 1.98276 | + | 3.36514i | 0.143845 | + | 0.244133i | ||||
\(191\) | −2.48806 | − | 4.30945i | −0.180030 | − | 0.311821i | 0.761861 | − | 0.647741i | \(-0.224286\pi\) |
−0.941890 | + | 0.335920i | \(0.890953\pi\) | |||||||
\(192\) | 7.98873 | − | 0.424455i | 0.576537 | − | 0.0306324i | ||||
\(193\) | −21.8223 | −1.57081 | −0.785403 | − | 0.618985i | \(-0.787544\pi\) | ||||
−0.785403 | + | 0.618985i | \(0.787544\pi\) | |||||||
\(194\) | −12.9515 | + | 7.63111i | −0.929862 | + | 0.547882i | ||||
\(195\) | 1.27915 | + | 2.21556i | 0.0916022 | + | 0.158660i | ||||
\(196\) | 2.81656 | + | 4.68499i | 0.201183 | + | 0.334642i | ||||
\(197\) | 19.2043 | + | 11.0876i | 1.36825 | + | 0.789958i | 0.990704 | − | 0.136034i | \(-0.0434356\pi\) |
0.377543 | + | 0.925992i | \(0.376769\pi\) | |||||||
\(198\) | 0.350144 | − | 0.619050i | 0.0248836 | − | 0.0439940i | ||||
\(199\) | −15.0830 | + | 8.70816i | −1.06920 | + | 0.617305i | −0.927964 | − | 0.372670i | \(-0.878442\pi\) |
−0.141240 | + | 0.989975i | \(0.545109\pi\) | |||||||
\(200\) | −13.2261 | + | 0.351115i | −0.935228 | + | 0.0248276i | ||||
\(201\) | 6.54149 | − | 4.92025i | 0.461401 | − | 0.347048i | ||||
\(202\) | 13.0597 | + | 7.38678i | 0.918881 | + | 0.519732i | ||||
\(203\) | 0.895500 | + | 1.55105i | 0.0628518 | + | 0.108862i | ||||
\(204\) | −4.69713 | − | 7.81307i | −0.328865 | − | 0.547025i | ||||
\(205\) | −2.66128 | + | 4.60947i | −0.185872 | + | 0.321939i | ||||
\(206\) | −5.10673 | − | 2.88844i | −0.355803 | − | 0.201247i | ||||
\(207\) | 4.01670 | − | 2.31904i | 0.279180 | − | 0.161184i | ||||
\(208\) | 15.2838 | − | 9.56062i | 1.05974 | − | 0.662910i | ||||
\(209\) | − | 2.44688i | − | 0.169254i | ||||||
\(210\) | −1.44332 | − | 0.816361i | −0.0995984 | − | 0.0563343i | ||||
\(211\) | −17.0716 | + | 9.85630i | −1.17526 | + | 0.678536i | −0.954913 | − | 0.296886i | \(-0.904052\pi\) |
−0.220345 | + | 0.975422i | \(0.570718\pi\) | |||||||
\(212\) | 0.511723 | + | 28.9178i | 0.0351453 | + | 1.98608i | ||||
\(213\) | 4.35912 | + | 2.51674i | 0.298682 | + | 0.172444i | ||||
\(214\) | 0.0629725 | + | 7.11779i | 0.00430471 | + | 0.486562i | ||||
\(215\) | − | 4.86167i | − | 0.331563i | ||||||
\(216\) | −2.82743 | + | 0.0750601i | −0.192382 | + | 0.00510720i | ||||
\(217\) | −8.67631 | − | 15.0278i | −0.588986 | − | 1.02015i | ||||
\(218\) | −0.0354250 | − | 4.00410i | −0.00239928 | − | 0.271192i | ||||
\(219\) | −3.10591 | − | 5.37959i | −0.209878 | − | 0.363519i | ||||
\(220\) | −0.499416 | − | 0.276674i | −0.0336707 | − | 0.0186534i | ||||
\(221\) | −17.7911 | − | 10.2717i | −1.19676 | − | 0.690947i | ||||
\(222\) | 0.497995 | + | 0.845196i | 0.0334233 | + | 0.0567258i | ||||
\(223\) | − | 4.69841i | − | 0.314629i | −0.987549 | − | 0.157315i | \(-0.949716\pi\) | ||
0.987549 | − | 0.157315i | \(-0.0502836\pi\) | |||||||
\(224\) | −5.38925 | + | 10.3679i | −0.360084 | + | 0.692732i | ||||
\(225\) | 4.67779 | 0.311853 | ||||||||
\(226\) | 10.1534 | + | 5.74293i | 0.675397 | + | 0.382014i | ||||
\(227\) | 11.2279 | + | 6.48243i | 0.745222 | + | 0.430254i | 0.823965 | − | 0.566641i | \(-0.191757\pi\) |
−0.0787430 | + | 0.996895i | \(0.525091\pi\) | |||||||
\(228\) | −8.33989 | + | 5.01384i | −0.552322 | + | 0.332050i | ||||
\(229\) | −19.2661 | + | 11.1233i | −1.27314 | + | 0.735048i | −0.975578 | − | 0.219654i | \(-0.929507\pi\) |
−0.297563 | + | 0.954702i | \(0.596174\pi\) | |||||||
\(230\) | −1.89009 | − | 3.20785i | −0.124629 | − | 0.211519i | ||||
\(231\) | 0.519403 | + | 0.899632i | 0.0341742 | + | 0.0591914i | ||||
\(232\) | 1.16940 | − | 2.15563i | 0.0767752 | − | 0.141524i | ||||
\(233\) | −11.9482 | − | 6.89831i | −0.782754 | − | 0.451923i | 0.0546516 | − | 0.998505i | \(-0.482595\pi\) |
−0.837405 | + | 0.546582i | \(0.815929\pi\) | |||||||
\(234\) | −5.49144 | + | 3.23560i | −0.358987 | + | 0.211518i | ||||
\(235\) | 2.52869 | − | 4.37983i | 0.164954 | − | 0.285708i | ||||
\(236\) | −0.281688 | − | 15.9184i | −0.0183363 | − | 1.03620i | ||||
\(237\) | −4.84032 | + | 8.38369i | −0.314413 | + | 0.544579i | ||||
\(238\) | 13.3149 | − | 0.117799i | 0.863075 | − | 0.00763579i | ||||
\(239\) | −10.8958 | + | 18.8721i | −0.704790 | + | 1.22073i | 0.261977 | + | 0.965074i | \(0.415625\pi\) |
−0.966767 | + | 0.255658i | \(0.917708\pi\) | |||||||
\(240\) | 0.0803331 | + | 2.26913i | 0.00518548 | + | 0.146472i | ||||
\(241\) | −3.30840 | −0.213113 | −0.106557 | − | 0.994307i | \(-0.533983\pi\) | ||||
−0.106557 | + | 0.994307i | \(0.533983\pi\) | |||||||
\(242\) | −7.71549 | − | 13.0947i | −0.495970 | − | 0.841759i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 14.6088 | − | 8.78262i | 0.935231 | − | 0.562250i | ||||
\(245\) | −1.34362 | + | 0.775742i | −0.0858410 | + | 0.0495603i | ||||
\(246\) | −11.5422 | − | 6.52846i | −0.735907 | − | 0.416239i | ||||
\(247\) | −10.9643 | + | 18.9907i | −0.697639 | + | 1.20835i | ||||
\(248\) | −11.3301 | + | 20.8855i | −0.719463 | + | 1.32623i | ||||
\(249\) | 6.79123 | − | 3.92092i | 0.430377 | − | 0.248478i | ||||
\(250\) | −0.0687307 | − | 7.76864i | −0.00434691 | − | 0.491332i | ||||
\(251\) | −2.25380 | − | 3.90370i | −0.142259 | − | 0.246400i | 0.786088 | − | 0.618115i | \(-0.212103\pi\) |
−0.928347 | + | 0.371715i | \(0.878770\pi\) | |||||||
\(252\) | 2.00199 | − | 3.61374i | 0.126114 | − | 0.227644i | ||||
\(253\) | 2.33251i | 0.146644i | ||||||||
\(254\) | −14.3885 | − | 8.13833i | −0.902814 | − | 0.510644i | ||||
\(255\) | 2.24074 | − | 1.29369i | 0.140320 | − | 0.0810140i | ||||
\(256\) | 15.9599 | − | 1.13147i | 0.997496 | − | 0.0707166i | ||||
\(257\) | −5.15090 | + | 8.92162i | −0.321304 | + | 0.556516i | −0.980757 | − | 0.195230i | \(-0.937455\pi\) |
0.659453 | + | 0.751746i | \(0.270788\pi\) | |||||||
\(258\) | 12.1119 | − | 0.107156i | 0.754054 | − | 0.00667126i | ||||
\(259\) | −1.43286 | −0.0890333 | ||||||||
\(260\) | 2.63631 | + | 4.38516i | 0.163497 | + | 0.271956i | ||||
\(261\) | −0.433527 | + | 0.750890i | −0.0268346 | + | 0.0464789i | ||||
\(262\) | −0.0874862 | − | 9.88859i | −0.00540492 | − | 0.610919i | ||||
\(263\) | 7.32912i | 0.451933i | 0.974135 | + | 0.225966i | \(0.0725539\pi\) | ||||
−0.974135 | + | 0.225966i | \(0.927446\pi\) | |||||||
\(264\) | 0.678272 | − | 1.25030i | 0.0417447 | − | 0.0769505i | ||||
\(265\) | −8.20870 | −0.504257 | ||||||||
\(266\) | −0.125742 | − | 14.2126i | −0.00770974 | − | 0.871433i | ||||
\(267\) | 10.6280 | 0.650421 | ||||||||
\(268\) | 12.9068 | − | 10.0704i | 0.788410 | − | 0.615150i | ||||
\(269\) | −3.52992 | −0.215223 | −0.107611 | − | 0.994193i | \(-0.534320\pi\) | ||||
−0.107611 | + | 0.994193i | \(0.534320\pi\) | |||||||
\(270\) | −0.00710190 | − | 0.802729i | −0.000432208 | − | 0.0488525i | ||||
\(271\) | −3.15572 | −0.191697 | −0.0958483 | − | 0.995396i | \(-0.530556\pi\) | ||||
−0.0958483 | + | 0.995396i | \(0.530556\pi\) | |||||||
\(272\) | −9.66926 | − | 15.4575i | −0.586285 | − | 0.937248i | ||||
\(273\) | − | 9.30961i | − | 0.563443i | ||||||
\(274\) | 0.182548 | + | 20.6335i | 0.0110282 | + | 1.24651i | ||||
\(275\) | −1.17624 | + | 2.03730i | −0.0709298 | + | 0.122854i | ||||
\(276\) | 7.95007 | − | 4.77949i | 0.478538 | − | 0.287692i | ||||
\(277\) | −4.91436 | −0.295275 | −0.147638 | − | 0.989042i | \(-0.547167\pi\) | ||||
−0.147638 | + | 0.989042i | \(0.547167\pi\) | |||||||
\(278\) | 29.0352 | − | 0.256880i | 1.74142 | − | 0.0154067i | ||||
\(279\) | 4.20035 | − | 7.27522i | 0.251468 | − | 0.435556i | ||||
\(280\) | −2.91507 | − | 1.58139i | −0.174209 | − | 0.0945063i | ||||
\(281\) | −0.219861 | + | 0.126937i | −0.0131158 | + | 0.00757241i | −0.506544 | − | 0.862214i | \(-0.669077\pi\) |
0.493428 | + | 0.869787i | \(0.335744\pi\) | |||||||
\(282\) | 10.9672 | + | 6.20321i | 0.653088 | + | 0.369396i | ||||
\(283\) | 9.68330i | 0.575612i | 0.957689 | + | 0.287806i | \(0.0929259\pi\) | ||||
−0.957689 | + | 0.287806i | \(0.907074\pi\) | |||||||
\(284\) | 8.80593 | + | 4.87844i | 0.522536 | + | 0.289482i | ||||
\(285\) | −1.38092 | − | 2.39182i | −0.0817986 | − | 0.141679i | ||||
\(286\) | −0.0283576 | − | 3.20527i | −0.00167682 | − | 0.189532i | ||||
\(287\) | 16.7737 | − | 9.68431i | 0.990121 | − | 0.571647i | ||||
\(288\) | −5.65132 | + | 0.250148i | −0.333007 | + | 0.0147401i | ||||
\(289\) | −1.88839 | + | 3.27079i | −0.111082 | + | 0.192400i | ||||
\(290\) | 0.605840 | + | 0.342672i | 0.0355762 | + | 0.0201224i | ||||
\(291\) | 9.20546 | − | 5.31478i | 0.539634 | − | 0.311558i | ||||
\(292\) | −6.40121 | − | 10.6476i | −0.374602 | − | 0.623104i | ||||
\(293\) | −1.34689 | −0.0786864 | −0.0393432 | − | 0.999226i | \(-0.512527\pi\) | ||||
−0.0393432 | + | 0.999226i | \(0.512527\pi\) | |||||||
\(294\) | −1.96222 | − | 3.33028i | −0.114439 | − | 0.194226i | ||||
\(295\) | 4.51864 | 0.263085 | ||||||||
\(296\) | 1.02574 | + | 1.67250i | 0.0596201 | + | 0.0972124i | ||||
\(297\) | −0.251452 | + | 0.435527i | −0.0145907 | + | 0.0252719i | ||||
\(298\) | 10.6480 | − | 0.0942047i | 0.616821 | − | 0.00545713i | ||||
\(299\) | 10.4518 | − | 18.1030i | 0.604442 | − | 1.04692i | ||||
\(300\) | 9.35411 | − | 0.165528i | 0.540060 | − | 0.00955677i | ||||
\(301\) | −8.84573 | + | 15.3213i | −0.509860 | + | 0.883103i | ||||
\(302\) | 22.4659 | − | 13.2371i | 1.29277 | − | 0.761707i | ||||
\(303\) | −9.18807 | − | 5.30473i | −0.527841 | − | 0.304749i | ||||
\(304\) | −16.4997 | + | 10.3212i | −0.946325 | + | 0.591963i | ||||
\(305\) | 2.41892 | + | 4.18970i | 0.138507 | + | 0.239901i | ||||
\(306\) | 3.27237 | + | 5.55385i | 0.187069 | + | 0.317492i | ||||
\(307\) | −5.07786 | + | 2.93171i | −0.289809 | + | 0.167321i | −0.637856 | − | 0.770156i | \(-0.720178\pi\) |
0.348047 | + | 0.937477i | \(0.386845\pi\) | |||||||
\(308\) | 1.07048 | + | 1.78060i | 0.0609961 | + | 0.101459i | ||||
\(309\) | 3.59279 | + | 2.07430i | 0.204387 | + | 0.118003i | ||||
\(310\) | −5.86986 | − | 3.32008i | −0.333386 | − | 0.188568i | ||||
\(311\) | 19.1012 | 1.08313 | 0.541563 | − | 0.840660i | \(-0.317833\pi\) | ||||
0.541563 | + | 0.840660i | \(0.317833\pi\) | |||||||
\(312\) | −10.8667 | + | 6.66450i | −0.615204 | + | 0.377303i | ||||
\(313\) | 14.8429i | 0.838968i | 0.907763 | + | 0.419484i | \(0.137789\pi\) | ||||
−0.907763 | + | 0.419484i | \(0.862211\pi\) | |||||||
\(314\) | −10.4064 | − | 17.6617i | −0.587266 | − | 0.996706i | ||||
\(315\) | 1.01543 | + | 0.586261i | 0.0572132 | + | 0.0330320i | ||||
\(316\) | −9.38247 | + | 16.9360i | −0.527805 | + | 0.952726i | ||||
\(317\) | −16.1773 | − | 28.0199i | −0.908608 | − | 1.57376i | −0.815999 | − | 0.578053i | \(-0.803813\pi\) |
−0.0926086 | − | 0.995703i | \(-0.529521\pi\) | |||||||
\(318\) | −0.180928 | − | 20.4504i | −0.0101460 | − | 1.14680i | ||||
\(319\) | −0.218022 | − | 0.377625i | −0.0122069 | − | 0.0211430i | ||||
\(320\) | 0.240936 | + | 4.53470i | 0.0134688 | + | 0.253498i | ||||
\(321\) | − | 5.03323i | − | 0.280928i | ||||||
\(322\) | 0.119865 | + | 13.5483i | 0.00667980 | + | 0.755020i | ||||
\(323\) | 19.2065 | + | 11.0888i | 1.06868 | + | 0.617000i | ||||
\(324\) | 1.99969 | − | 0.0353860i | 0.111094 | − | 0.00196589i | ||||
\(325\) | 18.2580 | − | 10.5413i | 1.01277 | − | 0.584724i | ||||
\(326\) | 7.06519 | + | 3.99617i | 0.391304 | + | 0.221327i | ||||
\(327\) | 2.83143i | 0.156579i | ||||||||
\(328\) | −23.3119 | − | 12.6464i | −1.28718 | − | 0.698282i | ||||
\(329\) | −15.9381 | + | 9.20184i | −0.878694 | + | 0.507314i | ||||
\(330\) | 0.351396 | + | 0.198755i | 0.0193437 | + | 0.0109411i | ||||
\(331\) | 7.43209 | − | 12.8728i | 0.408505 | − | 0.707551i | −0.586218 | − | 0.810154i | \(-0.699384\pi\) |
0.994722 | + | 0.102603i | \(0.0327170\pi\) | |||||||
\(332\) | 13.4416 | − | 8.08092i | 0.737703 | − | 0.443498i | ||||
\(333\) | −0.346835 | − | 0.600736i | −0.0190064 | − | 0.0329201i | ||||
\(334\) | −11.5452 | − | 6.53015i | −0.631728 | − | 0.357314i | ||||
\(335\) | 2.79292 | + | 3.71320i | 0.152594 | + | 0.202874i | ||||
\(336\) | 3.87548 | − | 7.29719i | 0.211425 | − | 0.398094i | ||||
\(337\) | 12.2525 | − | 7.07401i | 0.667439 | − | 0.385346i | −0.127667 | − | 0.991817i | \(-0.540749\pi\) |
0.795105 | + | 0.606471i | \(0.207415\pi\) | |||||||
\(338\) | −5.09130 | + | 9.00137i | −0.276930 | + | 0.489610i | ||||
\(339\) | −7.14336 | − | 4.12422i | −0.387974 | − | 0.223997i | ||||
\(340\) | 4.43499 | − | 2.66627i | 0.240521 | − | 0.144599i | ||||
\(341\) | 2.11237 | + | 3.65873i | 0.114391 | + | 0.198131i | ||||
\(342\) | 5.92832 | − | 3.49301i | 0.320567 | − | 0.188880i | ||||
\(343\) | 20.1051 | 1.08557 | ||||||||
\(344\) | 24.2162 | − | 0.642871i | 1.30565 | − | 0.0346613i | ||||
\(345\) | 1.31637 | + | 2.28003i | 0.0708712 | + | 0.122753i | ||||
\(346\) | −8.92618 | − | 15.1495i | −0.479874 | − | 0.814441i | ||||
\(347\) | 2.10226 | − | 3.64122i | 0.112855 | − | 0.195471i | −0.804065 | − | 0.594541i | \(-0.797334\pi\) |
0.916920 | + | 0.399070i | \(0.130667\pi\) | |||||||
\(348\) | −0.840346 | + | 1.51689i | −0.0450473 | + | 0.0813136i | ||||
\(349\) | −0.844089 | −0.0451831 | −0.0225915 | − | 0.999745i | \(-0.507192\pi\) | ||||
−0.0225915 | + | 0.999745i | \(0.507192\pi\) | |||||||
\(350\) | −6.72747 | + | 11.8941i | −0.359598 | + | 0.635766i | ||||
\(351\) | 3.90313 | − | 2.25347i | 0.208333 | − | 0.120281i | ||||
\(352\) | 1.31209 | − | 2.52420i | 0.0699345 | − | 0.134541i | ||||
\(353\) | 23.0822 | − | 13.3265i | 1.22854 | − | 0.709300i | 0.261818 | − | 0.965117i | \(-0.415678\pi\) |
0.966725 | + | 0.255817i | \(0.0823446\pi\) | |||||||
\(354\) | 0.0995956 | + | 11.2573i | 0.00529345 | + | 0.598319i | ||||
\(355\) | −1.42859 | + | 2.47440i | −0.0758219 | + | 0.131327i | ||||
\(356\) | 21.2526 | − | 0.376081i | 1.12639 | − | 0.0199323i | ||||
\(357\) | −9.41540 | −0.498316 | ||||||||
\(358\) | 29.6432 | − | 0.262259i | 1.56669 | − | 0.0138608i | ||||
\(359\) | 16.8556i | 0.889605i | 0.895629 | + | 0.444803i | \(0.146726\pi\) | ||||
−0.895629 | + | 0.444803i | \(0.853274\pi\) | |||||||
\(360\) | −0.0426070 | − | 1.60496i | −0.00224558 | − | 0.0845886i | ||||
\(361\) | 2.33654 | − | 4.04700i | 0.122976 | − | 0.213000i | ||||
\(362\) | 6.68365 | − | 11.8166i | 0.351285 | − | 0.621068i | ||||
\(363\) | 5.37354 | + | 9.30725i | 0.282038 | + | 0.488504i | ||||
\(364\) | −0.329430 | − | 18.6163i | −0.0172668 | − | 0.975760i | ||||
\(365\) | 3.05366 | − | 1.76303i | 0.159836 | − | 0.0922813i | ||||
\(366\) | −10.3845 | + | 6.11862i | −0.542807 | + | 0.319825i | ||||
\(367\) | 4.32877 | − | 7.49765i | 0.225960 | − | 0.391374i | −0.730647 | − | 0.682755i | \(-0.760781\pi\) |
0.956607 | + | 0.291381i | \(0.0941148\pi\) | |||||||
\(368\) | 15.7285 | − | 9.83881i | 0.819907 | − | 0.512883i | ||||
\(369\) | 8.12044 | + | 4.68834i | 0.422733 | + | 0.244065i | ||||
\(370\) | −0.479765 | + | 0.282681i | −0.0249418 | + | 0.0146959i | ||||
\(371\) | 25.8692 | + | 14.9356i | 1.34306 | + | 0.775419i | ||||
\(372\) | 8.14194 | − | 14.6968i | 0.422140 | − | 0.761993i | ||||
\(373\) | 8.48203 | + | 4.89711i | 0.439183 | + | 0.253562i | 0.703251 | − | 0.710942i | \(-0.251731\pi\) |
−0.264068 | + | 0.964504i | \(0.585064\pi\) | |||||||
\(374\) | −3.24169 | + | 0.0286799i | −0.167624 | + | 0.00148300i | ||||
\(375\) | 5.49348i | 0.283682i | ||||||||
\(376\) | 22.1505 | + | 12.0164i | 1.14233 | + | 0.619698i | ||||
\(377\) | 3.90776i | 0.201260i | ||||||||
\(378\) | −1.43817 | + | 2.54268i | −0.0739716 | + | 0.130781i | ||||
\(379\) | 18.0207 | + | 31.2128i | 0.925661 | + | 1.60329i | 0.790494 | + | 0.612469i | \(0.209824\pi\) |
0.135167 | + | 0.990823i | \(0.456843\pi\) | |||||||
\(380\) | −2.84604 | − | 4.73403i | −0.145999 | − | 0.242851i | ||||
\(381\) | 10.1229 | + | 5.84445i | 0.518611 | + | 0.299420i | ||||
\(382\) | 3.57243 | + | 6.06312i | 0.182781 | + | 0.310216i | ||||
\(383\) | −7.95385 | − | 13.7765i | −0.406423 | − | 0.703945i | 0.588063 | − | 0.808815i | \(-0.299891\pi\) |
−0.994486 | + | 0.104870i | \(0.966557\pi\) | |||||||
\(384\) | −11.2920 | + | 0.700196i | −0.576244 | + | 0.0357317i | ||||
\(385\) | −0.510665 | + | 0.294833i | −0.0260259 | + | 0.0150261i | ||||
\(386\) | 30.8602 | − | 0.273026i | 1.57074 | − | 0.0138967i | ||||
\(387\) | −8.56474 | −0.435370 | ||||||||
\(388\) | 18.2200 | − | 10.9536i | 0.924979 | − | 0.556086i | ||||
\(389\) | 15.4391 | + | 26.7414i | 0.782795 | + | 1.35584i | 0.930307 | + | 0.366781i | \(0.119540\pi\) |
−0.147512 | + | 0.989060i | \(0.547127\pi\) | |||||||
\(390\) | −1.83665 | − | 3.11715i | −0.0930022 | − | 0.157843i | ||||
\(391\) | −18.3087 | − | 10.5706i | −0.925912 | − | 0.534576i | ||||
\(392\) | −4.04168 | − | 6.59008i | −0.204136 | − | 0.332849i | ||||
\(393\) | 6.99256i | 0.352728i | ||||||||
\(394\) | −27.2966 | − | 15.4393i | −1.37518 | − | 0.777822i | ||||
\(395\) | −4.75889 | − | 2.74755i | −0.239446 | − | 0.138244i | ||||
\(396\) | −0.487413 | + | 0.879816i | −0.0244934 | + | 0.0442124i | ||||
\(397\) | −27.7523 | −1.39285 | −0.696423 | − | 0.717631i | \(-0.745226\pi\) | ||||
−0.696423 | + | 0.717631i | \(0.745226\pi\) | |||||||
\(398\) | 21.2208 | − | 12.5034i | 1.06370 | − | 0.626740i | ||||
\(399\) | 10.0503i | 0.503142i | ||||||||
\(400\) | 18.6994 | − | 0.662009i | 0.934972 | − | 0.0331005i | ||||
\(401\) | − | 30.4324i | − | 1.51972i | −0.650086 | − | 0.759860i | \(-0.725267\pi\) | ||
0.650086 | − | 0.759860i | \(-0.274733\pi\) | |||||||
\(402\) | −9.18914 | + | 7.03986i | −0.458313 | + | 0.351116i | ||||
\(403\) | − | 37.8615i | − | 1.88601i | ||||||
\(404\) | −18.5610 | − | 10.2827i | −0.923443 | − | 0.511582i | ||||
\(405\) | 0.567637i | 0.0282061i | ||||||||
\(406\) | −1.28578 | − | 2.18223i | −0.0638124 | − | 0.108302i | ||||
\(407\) | 0.348849 | 0.0172918 | ||||||||
\(408\) | 6.74023 | + | 10.9902i | 0.333691 | + | 0.544094i | ||||
\(409\) | −30.8839 | − | 17.8308i | −1.52711 | − | 0.881678i | −0.999481 | − | 0.0322035i | \(-0.989748\pi\) |
−0.527630 | − | 0.849474i | \(-0.676919\pi\) | |||||||
\(410\) | 3.70580 | − | 6.55181i | 0.183016 | − | 0.323571i | ||||
\(411\) | − | 14.5906i | − | 0.719704i | ||||||
\(412\) | 7.25787 | + | 4.02082i | 0.357569 | + | 0.198091i | ||||
\(413\) | −14.2402 | − | 8.22160i | −0.700716 | − | 0.404559i | ||||
\(414\) | −5.65123 | + | 3.32975i | −0.277743 | + | 0.163648i | ||||
\(415\) | 2.22566 | + | 3.85496i | 0.109253 | + | 0.189232i | ||||
\(416\) | −21.4941 | + | 13.7114i | −1.05384 | + | 0.672259i | ||||
\(417\) | −20.5318 | −1.00545 | ||||||||
\(418\) | 0.0306137 | + | 3.46027i | 0.00149736 | + | 0.169247i | ||||
\(419\) | 10.8492 | − | 6.26380i | 0.530019 | − | 0.306007i | −0.211005 | − | 0.977485i | \(-0.567674\pi\) |
0.741024 | + | 0.671478i | \(0.234340\pi\) | |||||||
\(420\) | 2.05129 | + | 1.13641i | 0.100093 | + | 0.0554509i | ||||
\(421\) | 5.47166 | + | 9.47719i | 0.266672 | + | 0.461890i | 0.968000 | − | 0.250949i | \(-0.0807425\pi\) |
−0.701328 | + | 0.712839i | \(0.747409\pi\) | |||||||
\(422\) | 24.0186 | − | 14.1520i | 1.16921 | − | 0.688906i | ||||
\(423\) | −7.71589 | − | 4.45477i | −0.375159 | − | 0.216598i | ||||
\(424\) | −1.08546 | − | 40.8880i | −0.0527145 | − | 1.98570i | ||||
\(425\) | −10.6610 | − | 18.4655i | −0.517137 | − | 0.895707i | ||||
\(426\) | −6.19597 | − | 3.50453i | −0.300196 | − | 0.169795i | ||||
\(427\) | − | 17.6048i | − | 0.851955i | ||||||
\(428\) | −0.178106 | − | 10.0649i | −0.00860908 | − | 0.486505i | ||||
\(429\) | 2.26656i | 0.109430i | ||||||||
\(430\) | 0.0608259 | + | 6.87517i | 0.00293329 | + | 0.331550i | ||||
\(431\) | −23.1169 | − | 13.3466i | −1.11350 | − | 0.642882i | −0.173769 | − | 0.984786i | \(-0.555595\pi\) |
−0.939735 | + | 0.341905i | \(0.888928\pi\) | |||||||
\(432\) | 3.99750 | − | 0.141522i | 0.192330 | − | 0.00680897i | ||||
\(433\) | 24.8881 | + | 14.3691i | 1.19604 | + | 0.690536i | 0.959671 | − | 0.281126i | \(-0.0907080\pi\) |
0.236373 | + | 0.971662i | \(0.424041\pi\) | |||||||
\(434\) | 12.4577 | + | 21.1431i | 0.597988 | + | 1.01490i | ||||
\(435\) | −0.426233 | − | 0.246086i | −0.0204363 | − | 0.0117989i | ||||
\(436\) | 0.100193 | + | 5.66198i | 0.00479838 | + | 0.271160i | ||||
\(437\) | −11.2833 | + | 19.5432i | −0.539753 | + | 0.934880i | ||||
\(438\) | 4.45955 | + | 7.56874i | 0.213086 | + | 0.361648i | ||||
\(439\) | −5.89975 | + | 3.40622i | −0.281580 | + | 0.162570i | −0.634138 | − | 0.773220i | \(-0.718645\pi\) |
0.352559 | + | 0.935790i | \(0.385312\pi\) | |||||||
\(440\) | 0.709715 | + | 0.385012i | 0.0338344 | + | 0.0183547i | ||||
\(441\) | 1.36661 | + | 2.36705i | 0.0650769 | + | 0.112716i | ||||
\(442\) | 25.2879 | + | 14.3032i | 1.20282 | + | 0.680333i | ||||
\(443\) | 2.14957 | − | 3.72316i | 0.102129 | − | 0.176893i | −0.810433 | − | 0.585832i | \(-0.800768\pi\) |
0.912562 | + | 0.408939i | \(0.134101\pi\) | |||||||
\(444\) | −0.714819 | − | 1.18901i | −0.0339238 | − | 0.0564279i | ||||
\(445\) | 6.03284i | 0.285984i | ||||||||
\(446\) | 0.0587834 | + | 6.64430i | 0.00278347 | + | 0.314617i | ||||
\(447\) | −7.52955 | −0.356136 | ||||||||
\(448\) | 7.49153 | − | 14.7292i | 0.353942 | − | 0.695891i | ||||
\(449\) | −2.34265 | + | 4.05758i | −0.110556 | + | 0.191489i | −0.915995 | − | 0.401190i | \(-0.868597\pi\) |
0.805438 | + | 0.592680i | \(0.201930\pi\) | |||||||
\(450\) | −6.61513 | + | 0.0585253i | −0.311840 | + | 0.00275891i | ||||
\(451\) | −4.08380 | + | 2.35778i | −0.192299 | + | 0.111024i | ||||
\(452\) | −14.4304 | − | 7.99438i | −0.678750 | − | 0.376024i | ||||
\(453\) | −15.9680 | + | 9.21910i | −0.750240 | + | 0.433151i | ||||
\(454\) | −15.9591 | − | 9.02671i | −0.748999 | − | 0.423644i | ||||
\(455\) | 5.28449 | 0.247741 | ||||||||
\(456\) | 11.7312 | − | 7.19471i | 0.549363 | − | 0.336923i | ||||
\(457\) | −19.9700 | + | 34.5891i | −0.934159 | + | 1.61801i | −0.158033 | + | 0.987434i | \(0.550515\pi\) |
−0.776127 | + | 0.630577i | \(0.782818\pi\) | |||||||
\(458\) | 27.1062 | − | 15.9711i | 1.26659 | − | 0.746282i | ||||
\(459\) | −2.27908 | − | 3.94748i | −0.106378 | − | 0.184253i | ||||
\(460\) | 2.71302 | + | 4.51276i | 0.126495 | + | 0.210409i | ||||
\(461\) | 17.3662 | 0.808822 | 0.404411 | − | 0.914577i | \(-0.367476\pi\) | ||||
0.404411 | + | 0.914577i | \(0.367476\pi\) | |||||||
\(462\) | −0.745773 | − | 1.26572i | −0.0346965 | − | 0.0588868i | ||||
\(463\) | −8.53232 | − | 14.7784i | −0.396531 | − | 0.686811i | 0.596765 | − | 0.802416i | \(-0.296453\pi\) |
−0.993295 | + | 0.115605i | \(0.963119\pi\) | |||||||
\(464\) | −1.62675 | + | 3.06303i | −0.0755201 | + | 0.142198i | ||||
\(465\) | 4.12969 | + | 2.38428i | 0.191510 | + | 0.110568i | ||||
\(466\) | 16.9830 | + | 9.60581i | 0.786721 | + | 0.444981i | ||||
\(467\) | −20.9631 | + | 12.1030i | −0.970055 | + | 0.560061i | −0.899253 | − | 0.437429i | \(-0.855889\pi\) |
−0.0708017 | + | 0.997490i | \(0.522556\pi\) | |||||||
\(468\) | 7.72529 | − | 4.64435i | 0.357102 | − | 0.214685i | ||||
\(469\) | −2.04562 | − | 16.7836i | −0.0944580 | − | 0.774994i | ||||
\(470\) | −3.52118 | + | 6.22541i | −0.162420 | + | 0.287157i | ||||
\(471\) | 7.24765 | + | 12.5533i | 0.333954 | + | 0.578425i | ||||
\(472\) | 0.597511 | + | 22.5076i | 0.0275027 | + | 1.03600i | ||||
\(473\) | 2.15362 | − | 3.73018i | 0.0990235 | − | 0.171514i | ||||
\(474\) | 6.74009 | − | 11.9164i | 0.309583 | − | 0.547339i | ||||
\(475\) | −19.7105 | + | 11.3799i | −0.904381 | + | 0.522145i | ||||
\(476\) | −18.8279 | + | 0.333173i | −0.862973 | + | 0.0152710i | ||||
\(477\) | 14.4612i | 0.662132i | ||||||||
\(478\) | 15.1723 | − | 26.8244i | 0.693963 | − | 1.22692i | ||||
\(479\) | 28.8135 | − | 16.6355i | 1.31652 | − | 0.760095i | 0.333356 | − | 0.942801i | \(-0.391819\pi\) |
0.983168 | + | 0.182706i | \(0.0584857\pi\) | |||||||
\(480\) | −0.141994 | − | 3.20790i | −0.00648109 | − | 0.146420i | ||||
\(481\) | −2.70748 | − | 1.56316i | −0.123450 | − | 0.0712742i | ||||
\(482\) | 4.67861 | − | 0.0413925i | 0.213105 | − | 0.00188538i | ||||
\(483\) | − | 9.58050i | − | 0.435928i | ||||||
\(484\) | 11.0748 | + | 18.4214i | 0.503398 | + | 0.837338i | ||||
\(485\) | 3.01687 | + | 5.22537i | 0.136989 | + | 0.237272i | ||||
\(486\) | −1.41416 | + | 0.0125113i | −0.0641475 | + | 0.000567525i | ||||
\(487\) | 7.54173 | + | 13.0627i | 0.341749 | + | 0.591926i | 0.984758 | − | 0.173933i | \(-0.0556476\pi\) |
−0.643009 | + | 0.765859i | \(0.722314\pi\) | |||||||
\(488\) | −20.5492 | + | 12.6028i | −0.930220 | + | 0.570502i | ||||
\(489\) | −4.97065 | − | 2.86980i | −0.224780 | − | 0.129777i | ||||
\(490\) | 1.89039 | − | 1.11383i | 0.0853992 | − | 0.0503178i | ||||
\(491\) | 17.2830i | 0.779969i | 0.920821 | + | 0.389985i | \(0.127520\pi\) | ||||
−0.920821 | + | 0.389985i | \(0.872480\pi\) | |||||||
\(492\) | 16.4042 | + | 9.08786i | 0.739560 | + | 0.409712i | ||||
\(493\) | 3.95216 | 0.177996 | ||||||||
\(494\) | 15.2676 | − | 26.9930i | 0.686922 | − | 1.21447i | ||||
\(495\) | −0.247222 | − | 0.142733i | −0.0111118 | − | 0.00641539i | ||||
\(496\) | 15.7613 | − | 29.6771i | 0.707702 | − | 1.33254i | ||||
\(497\) | 9.00427 | − | 5.19862i | 0.403897 | − | 0.233190i | ||||
\(498\) | −9.55482 | + | 5.62977i | −0.428162 | + | 0.252276i | ||||
\(499\) | −2.30235 | − | 3.98778i | −0.103067 | − | 0.178518i | 0.809880 | − | 0.586596i | \(-0.199532\pi\) |
−0.912947 | + | 0.408078i | \(0.866199\pi\) | |||||||
\(500\) | 0.194392 | + | 10.9852i | 0.00869348 | + | 0.491274i | ||||
\(501\) | 8.12255 | + | 4.68956i | 0.362889 | + | 0.209514i | ||||
\(502\) | 3.23608 | + | 5.49226i | 0.144433 | + | 0.245131i | ||||
\(503\) | 3.09904 | − | 5.36769i | 0.138179 | − | 0.239334i | −0.788628 | − | 0.614870i | \(-0.789208\pi\) |
0.926807 | + | 0.375537i | \(0.122542\pi\) | |||||||
\(504\) | −2.78592 | + | 5.13545i | −0.124095 | + | 0.228751i | ||||
\(505\) | 3.01117 | − | 5.21549i | 0.133995 | − | 0.232086i | ||||
\(506\) | −0.0291828 | − | 3.29853i | −0.00129733 | − | 0.146638i | ||||
\(507\) | 3.65626 | − | 6.33283i | 0.162380 | − | 0.281251i | ||||
\(508\) | 20.4494 | + | 11.3289i | 0.907296 | + | 0.502637i | ||||
\(509\) | −11.5141 | −0.510354 | −0.255177 | − | 0.966894i | \(-0.582134\pi\) | ||||
−0.255177 | + | 0.966894i | \(0.582134\pi\) | |||||||
\(510\) | −3.15257 | + | 1.85752i | −0.139598 | + | 0.0822522i | ||||
\(511\) | −12.8312 | −0.567621 | ||||||||
\(512\) | −22.5557 | + | 1.79975i | −0.996832 | + | 0.0795385i | ||||
\(513\) | −4.21365 | + | 2.43275i | −0.186037 | + | 0.107408i | ||||
\(514\) | 7.17257 | − | 12.6810i | 0.316368 | − | 0.559336i | ||||
\(515\) | −1.17745 | + | 2.03940i | −0.0518847 | + | 0.0898669i | ||||
\(516\) | −17.1268 | + | 0.303072i | −0.753965 | + | 0.0133420i | ||||
\(517\) | 3.88035 | − | 2.24032i | 0.170657 | − | 0.0985291i | ||||
\(518\) | 2.02628 | − | 0.0179269i | 0.0890298 | − | 0.000787664i | ||||
\(519\) | 6.21674 | + | 10.7677i | 0.272885 | + | 0.472650i | ||||
\(520\) | −3.78302 | − | 6.16833i | −0.165896 | − | 0.270499i | ||||
\(521\) | 0.906106i | 0.0396972i | 0.999803 | + | 0.0198486i | \(0.00631842\pi\) | ||||
−0.999803 | + | 0.0198486i | \(0.993682\pi\) | |||||||
\(522\) | 0.603681 | − | 1.06730i | 0.0264224 | − | 0.0467145i | ||||
\(523\) | 3.05551 | − | 1.76410i | 0.133608 | − | 0.0771386i | −0.431706 | − | 0.902014i | \(-0.642088\pi\) |
0.565314 | + | 0.824876i | \(0.308755\pi\) | |||||||
\(524\) | 0.247439 | + | 13.9829i | 0.0108094 | + | 0.610847i | ||||
\(525\) | 4.83126 | − | 8.36798i | 0.210853 | − | 0.365209i | ||||
\(526\) | −0.0916970 | − | 10.3645i | −0.00399818 | − | 0.451915i | ||||
\(527\) | −38.2917 | −1.66801 | ||||||||
\(528\) | −0.943541 | + | 1.77660i | −0.0410623 | + | 0.0773168i | ||||
\(529\) | −0.744097 | + | 1.28881i | −0.0323520 | + | 0.0560354i | ||||
\(530\) | 11.6084 | − | 0.102702i | 0.504237 | − | 0.00446108i | ||||
\(531\) | − | 7.96043i | − | 0.345453i | ||||||
\(532\) | 0.355638 | + | 20.0974i | 0.0154189 | + | 0.871331i | ||||
\(533\) | 42.2601 | 1.83049 | ||||||||
\(534\) | −15.0296 | + | 0.132970i | −0.650396 | + | 0.00575418i | ||||
\(535\) | 2.85705 | 0.123521 | ||||||||
\(536\) | −18.1263 | + | 14.4027i | −0.782937 | + | 0.622101i | ||||
\(537\) | −20.9617 | −0.904566 | ||||||||
\(538\) | 4.99186 | − | 0.0441640i | 0.215215 | − | 0.00190404i | ||||
\(539\) | −1.37455 | −0.0592061 | ||||||||
\(540\) | 0.0200864 | + | 1.13510i | 0.000864382 | + | 0.0488468i | ||||
\(541\) | − | 41.5109i | − | 1.78469i | −0.451352 | − | 0.892346i | \(-0.649058\pi\) | ||
0.451352 | − | 0.892346i | \(-0.350942\pi\) | |||||||
\(542\) | 4.46269 | − | 0.0394823i | 0.191689 | − | 0.00169591i | ||||
\(543\) | −4.79979 | + | 8.31348i | −0.205979 | + | 0.356765i | ||||
\(544\) | 13.8673 | + | 21.7384i | 0.594554 | + | 0.932025i | ||||
\(545\) | −1.60723 | −0.0688461 | ||||||||
\(546\) | 0.116476 | + | 13.1653i | 0.00498470 | + | 0.563421i | ||||
\(547\) | 7.82240 | − | 13.5488i | 0.334462 | − | 0.579304i | −0.648920 | − | 0.760857i | \(-0.724779\pi\) |
0.983381 | + | 0.181552i | \(0.0581122\pi\) | |||||||
\(548\) | −0.516305 | − | 29.1767i | −0.0220554 | − | 1.24637i | ||||
\(549\) | 7.38094 | − | 4.26139i | 0.315011 | − | 0.181872i | ||||
\(550\) | 1.63790 | − | 2.89579i | 0.0698402 | − | 0.123477i | ||||
\(551\) | − | 4.21865i | − | 0.179720i | ||||||
\(552\) | −11.1829 | + | 6.85842i | −0.475974 | + | 0.291914i | ||||
\(553\) | 9.99825 | + | 17.3175i | 0.425169 | + | 0.736414i | ||||
\(554\) | 6.94968 | − | 0.0614851i | 0.295264 | − | 0.00261225i | ||||
\(555\) | 0.341000 | − | 0.196876i | 0.0144746 | − | 0.00835694i | ||||
\(556\) | −41.0572 | + | 0.726539i | −1.74121 | + | 0.0308121i | ||||
\(557\) | −6.31743 | + | 10.9421i | −0.267678 | + | 0.463632i | −0.968262 | − | 0.249938i | \(-0.919590\pi\) |
0.700584 | + | 0.713570i | \(0.252923\pi\) | |||||||
\(558\) | −5.84894 | + | 10.3409i | −0.247605 | + | 0.437764i | ||||
\(559\) | −33.4293 | + | 19.3004i | −1.41391 | + | 0.816320i | ||||
\(560\) | 4.14216 | + | 2.19987i | 0.175038 | + | 0.0929614i | ||||
\(561\) | 2.29231 | 0.0967815 | ||||||||
\(562\) | 0.309330 | − | 0.182259i | 0.0130483 | − | 0.00768815i | ||||
\(563\) | −16.5374 | −0.696969 | −0.348484 | − | 0.937315i | \(-0.613304\pi\) | ||||
−0.348484 | + | 0.937315i | \(0.613304\pi\) | |||||||
\(564\) | −15.5870 | − | 8.63511i | −0.656331 | − | 0.363604i | ||||
\(565\) | 2.34106 | − | 4.05484i | 0.0984893 | − | 0.170588i | ||||
\(566\) | −0.121151 | − | 13.6937i | −0.00509235 | − | 0.575590i | ||||
\(567\) | 1.03281 | − | 1.78888i | 0.0433739 | − | 0.0751257i | ||||
\(568\) | −12.5140 | − | 6.78871i | −0.525076 | − | 0.284848i | ||||
\(569\) | 15.0544 | − | 26.0750i | 0.631115 | − | 1.09312i | −0.356209 | − | 0.934406i | \(-0.615931\pi\) |
0.987324 | − | 0.158717i | \(-0.0507356\pi\) | |||||||
\(570\) | 1.98276 | + | 3.36514i | 0.0830488 | + | 0.140950i | ||||
\(571\) | 17.1865 | + | 9.92262i | 0.719232 | + | 0.415249i | 0.814470 | − | 0.580206i | \(-0.197028\pi\) |
−0.0952382 | + | 0.995455i | \(0.530361\pi\) | |||||||
\(572\) | 0.0802044 | + | 4.53240i | 0.00335351 | + | 0.189509i | ||||
\(573\) | −2.48806 | − | 4.30945i | −0.103940 | − | 0.180030i | ||||
\(574\) | −23.5995 | + | 13.9050i | −0.985025 | + | 0.580384i | ||||
\(575\) | 18.7893 | − | 10.8480i | 0.783566 | − | 0.452392i | ||||
\(576\) | 7.98873 | − | 0.424455i | 0.332864 | − | 0.0176856i | ||||
\(577\) | −15.7427 | − | 9.08907i | −0.655379 | − | 0.378383i | 0.135135 | − | 0.990827i | \(-0.456853\pi\) |
−0.790514 | + | 0.612444i | \(0.790186\pi\) | |||||||
\(578\) | 2.62956 | − | 4.64905i | 0.109375 | − | 0.193375i | ||||
\(579\) | −21.8223 | −0.906905 | ||||||||
\(580\) | −0.861041 | − | 0.477012i | −0.0357528 | − | 0.0198069i | ||||
\(581\) | − | 16.1982i | − | 0.672016i | ||||||
\(582\) | −12.9515 | + | 7.63111i | −0.536856 | + | 0.316320i | ||||
\(583\) | −6.29823 | − | 3.63629i | −0.260846 | − | 0.150600i | ||||
\(584\) | 9.18554 | + | 14.9773i | 0.380100 | + | 0.619765i | ||||
\(585\) | 1.27915 | + | 2.21556i | 0.0528865 | + | 0.0916022i | ||||
\(586\) | 1.90472 | − | 0.0168514i | 0.0786833 | − | 0.000696127i | ||||
\(587\) | 19.8016 | + | 34.2974i | 0.817300 | + | 1.41561i | 0.907664 | + | 0.419697i | \(0.137864\pi\) |
−0.0903640 | + | 0.995909i | \(0.528803\pi\) | |||||||
\(588\) | 2.81656 | + | 4.68499i | 0.116153 | + | 0.193206i | ||||
\(589\) | 40.8736i | 1.68417i | ||||||||
\(590\) | −6.39007 | + | 0.0565342i | −0.263075 | + | 0.00232748i | ||||
\(591\) | 19.2043 | + | 11.0876i | 0.789958 | + | 0.456082i | ||||
\(592\) | −1.47149 | − | 2.35235i | −0.0604778 | − | 0.0966811i | ||||
\(593\) | 19.2570 | − | 11.1181i | 0.790792 | − | 0.456564i | −0.0494492 | − | 0.998777i | \(-0.515747\pi\) |
0.840241 | + | 0.542213i | \(0.182413\pi\) | |||||||
\(594\) | 0.350144 | − | 0.619050i | 0.0143666 | − | 0.0253999i | ||||
\(595\) | − | 5.34454i | − | 0.219105i | ||||||
\(596\) | −15.0567 | + | 0.266441i | −0.616748 | + | 0.0109138i | ||||
\(597\) | −15.0830 | + | 8.70816i | −0.617305 | + | 0.356401i | ||||
\(598\) | −14.5540 | + | 25.7313i | −0.595157 | + | 1.05223i | ||||
\(599\) | −0.873519 | + | 1.51298i | −0.0356910 | + | 0.0618187i | −0.883319 | − | 0.468772i | \(-0.844697\pi\) |
0.847628 | + | 0.530591i | \(0.178030\pi\) | |||||||
\(600\) | −13.2261 | + | 0.351115i | −0.539954 | + | 0.0143342i | ||||
\(601\) | −1.37648 | − | 2.38413i | −0.0561478 | − | 0.0972508i | 0.836585 | − | 0.547837i | \(-0.184548\pi\) |
−0.892733 | + | 0.450586i | \(0.851215\pi\) | |||||||
\(602\) | 12.3176 | − | 21.7774i | 0.502027 | − | 0.887579i | ||||
\(603\) | 6.54149 | − | 4.92025i | 0.266390 | − | 0.200368i | ||||
\(604\) | −31.6047 | + | 19.0004i | −1.28598 | + | 0.773114i | ||||
\(605\) | −5.28314 | + | 3.05023i | −0.214790 | + | 0.124009i | ||||
\(606\) | 13.0597 | + | 7.38678i | 0.530516 | + | 0.300067i | ||||
\(607\) | −6.24508 | − | 3.60560i | −0.253480 | − | 0.146347i | 0.367877 | − | 0.929875i | \(-0.380085\pi\) |
−0.621357 | + | 0.783528i | \(0.713418\pi\) | |||||||
\(608\) | 23.2041 | − | 14.8023i | 0.941051 | − | 0.600312i | ||||
\(609\) | 0.895500 | + | 1.55105i | 0.0362875 | + | 0.0628518i | ||||
\(610\) | −3.47316 | − | 5.89463i | −0.140624 | − | 0.238667i | ||||
\(611\) | −40.1548 | −1.62449 | ||||||||
\(612\) | −4.69713 | − | 7.81307i | −0.189870 | − | 0.315825i | ||||
\(613\) | 22.5754 | + | 39.1017i | 0.911810 | + | 1.57930i | 0.811506 | + | 0.584344i | \(0.198648\pi\) |
0.100304 | + | 0.994957i | \(0.468019\pi\) | |||||||
\(614\) | 7.14422 | − | 4.20943i | 0.288317 | − | 0.169879i | ||||
\(615\) | −2.66128 | + | 4.60947i | −0.107313 | + | 0.185872i | ||||
\(616\) | −1.53610 | − | 2.50466i | −0.0618913 | − | 0.100916i | ||||
\(617\) | −30.6940 | −1.23569 | −0.617847 | − | 0.786299i | \(-0.711995\pi\) | ||||
−0.617847 | + | 0.786299i | \(0.711995\pi\) | |||||||
\(618\) | −5.10673 | − | 2.88844i | −0.205423 | − | 0.116190i | ||||
\(619\) | 6.23764 | − | 3.60131i | 0.250712 | − | 0.144749i | −0.369378 | − | 0.929279i | \(-0.620429\pi\) |
0.620090 | + | 0.784530i | \(0.287096\pi\) | |||||||
\(620\) | 8.34245 | + | 4.62167i | 0.335041 | + | 0.185611i | ||||
\(621\) | 4.01670 | − | 2.31904i | 0.161184 | − | 0.0930599i | ||||
\(622\) | −27.0121 | + | 0.238981i | −1.08308 | + | 0.00958226i | ||||
\(623\) | 10.9767 | − | 19.0121i | 0.439771 | − | 0.761705i | ||||
\(624\) | 15.2838 | − | 9.56062i | 0.611842 | − | 0.382731i | ||||
\(625\) | 20.2706 | 0.810825 | ||||||||
\(626\) | −0.185704 | − | 20.9901i | −0.00742222 | − | 0.838935i | ||||
\(627\) | − | 2.44688i | − | 0.0977188i | ||||||
\(628\) | 14.9372 | + | 24.8462i | 0.596061 | + | 0.991471i | ||||
\(629\) | −1.58093 | + | 2.73825i | −0.0630357 | + | 0.109181i | ||||
\(630\) | −1.44332 | − | 0.816361i | −0.0575032 | − | 0.0325246i | ||||
\(631\) | 7.04131 | + | 12.1959i | 0.280310 | + | 0.485511i | 0.971461 | − | 0.237199i | \(-0.0762294\pi\) |
−0.691151 | + | 0.722710i | \(0.742896\pi\) | |||||||
\(632\) | 13.0564 | − | 24.0676i | 0.519356 | − | 0.957358i | ||||
\(633\) | −17.0716 | + | 9.85630i | −0.678536 | + | 0.391753i | ||||
\(634\) | 23.2278 | + | 39.4222i | 0.922495 | + | 1.56566i | ||||
\(635\) | −3.31753 | + | 5.74613i | −0.131652 | + | 0.228028i | ||||
\(636\) | 0.511723 | + | 28.9178i | 0.0202911 | + | 1.14667i | ||||
\(637\) | 10.6681 | + | 6.15925i | 0.422687 | + | 0.244038i | ||||
\(638\) | 0.313042 | + | 0.531294i | 0.0123935 | + | 0.0210341i | ||||
\(639\) | 4.35912 | + | 2.51674i | 0.172444 | + | 0.0995606i | ||||
\(640\) | −0.397457 | − | 6.40977i | −0.0157109 | − | 0.253369i | ||||
\(641\) | −9.05911 | − | 5.23028i | −0.357813 | − | 0.206584i | 0.310308 | − | 0.950636i | \(-0.399568\pi\) |
−0.668121 | + | 0.744053i | \(0.732901\pi\) | |||||||
\(642\) | 0.0629725 | + | 7.11779i | 0.00248532 | + | 0.280917i | ||||
\(643\) | − | 12.9178i | − | 0.509427i | −0.967017 | − | 0.254713i | \(-0.918019\pi\) | ||
0.967017 | − | 0.254713i | \(-0.0819811\pi\) | |||||||
\(644\) | −0.339016 | − | 19.1580i | −0.0133591 | − | 0.754931i | ||||
\(645\) | − | 4.86167i | − | 0.191428i | ||||||
\(646\) | −27.2997 | − | 15.4411i | −1.07409 | − | 0.607522i | ||||
\(647\) | 9.11408 | + | 15.7861i | 0.358312 | + | 0.620614i | 0.987679 | − | 0.156494i | \(-0.0500192\pi\) |
−0.629367 | + | 0.777108i | \(0.716686\pi\) | |||||||
\(648\) | −2.82743 | + | 0.0750601i | −0.111072 | + | 0.00294864i | ||||
\(649\) | 3.46699 | + | 2.00166i | 0.136091 | + | 0.0785722i | ||||
\(650\) | −25.6878 | + | 15.1354i | −1.00756 | + | 0.593661i | ||||
\(651\) | −8.67631 | − | 15.0278i | −0.340051 | − | 0.588986i | ||||
\(652\) | −10.0413 | − | 5.56282i | −0.393247 | − | 0.217857i | ||||
\(653\) | 12.1302 | − | 7.00335i | 0.474690 | − | 0.274062i | −0.243511 | − | 0.969898i | \(-0.578299\pi\) |
0.718201 | + | 0.695836i | \(0.244966\pi\) | |||||||
\(654\) | −0.0354250 | − | 4.00410i | −0.00138523 | − | 0.156573i | ||||
\(655\) | −3.96924 | −0.155091 | ||||||||
\(656\) | 33.1249 | + | 17.5924i | 1.29331 | + | 0.686868i | ||||
\(657\) | −3.10591 | − | 5.37959i | −0.121173 | − | 0.209878i | ||||
\(658\) | 22.4238 | − | 13.2123i | 0.874171 | − | 0.515068i | ||||
\(659\) | 14.6230 | + | 8.44257i | 0.569630 | + | 0.328876i | 0.757001 | − | 0.653413i | \(-0.226664\pi\) |
−0.187372 | + | 0.982289i | \(0.559997\pi\) | |||||||
\(660\) | −0.499416 | − | 0.276674i | −0.0194398 | − | 0.0107695i | ||||
\(661\) | 10.6171i | 0.412957i | 0.978451 | + | 0.206479i | \(0.0662004\pi\) | ||||
−0.978451 | + | 0.206479i | \(0.933800\pi\) | |||||||
\(662\) | −10.3491 | + | 18.2971i | −0.402229 | + | 0.711137i | ||||
\(663\) | −17.7911 | − | 10.2717i | −0.690947 | − | 0.398919i | ||||
\(664\) | −18.9074 | + | 11.5959i | −0.733751 | + | 0.450007i | ||||
\(665\) | −5.70490 | −0.221227 | ||||||||
\(666\) | 0.497995 | + | 0.845196i | 0.0192969 | + | 0.0327507i | ||||
\(667\) | 4.02146i | 0.155712i | ||||||||
\(668\) | 16.4085 | + | 9.09022i | 0.634864 | + | 0.351711i | ||||
\(669\) | − | 4.69841i | − | 0.181651i | ||||||
\(670\) | −3.99609 | − | 5.21610i | −0.154382 | − | 0.201516i | ||||
\(671\) | 4.28613i | 0.165464i | ||||||||
\(672\) | −5.38925 | + | 10.3679i | −0.207895 | + | 0.399949i | ||||
\(673\) | − | 41.9851i | − | 1.61841i | −0.587529 | − | 0.809203i | \(-0.699899\pi\) | ||
0.587529 | − | 0.809203i | \(-0.300101\pi\) | |||||||
\(674\) | −17.2385 | + | 10.1571i | −0.664003 | + | 0.391235i | ||||
\(675\) | 4.67779 | 0.180048 | ||||||||
\(676\) | 7.08729 | − | 12.7931i | 0.272588 | − | 0.492041i | ||||
\(677\) | −14.1927 | − | 8.19415i | −0.545469 | − | 0.314927i | 0.201823 | − | 0.979422i | \(-0.435313\pi\) |
−0.747293 | + | 0.664495i | \(0.768647\pi\) | |||||||
\(678\) | 10.1534 | + | 5.74293i | 0.389941 | + | 0.220556i | ||||
\(679\) | − | 21.9566i | − | 0.842616i | ||||||
\(680\) | −6.23842 | + | 3.82601i | −0.239233 | + | 0.146721i | ||||
\(681\) | 11.2279 | + | 6.48243i | 0.430254 | + | 0.248407i | ||||
\(682\) | −3.03300 | − | 5.14760i | −0.116140 | − | 0.197112i | ||||
\(683\) | 8.84052 | + | 15.3122i | 0.338273 | + | 0.585906i | 0.984108 | − | 0.177571i | \(-0.0568239\pi\) |
−0.645835 | + | 0.763477i | \(0.723491\pi\) | |||||||
\(684\) | −8.33989 | + | 5.01384i | −0.318883 | + | 0.191709i | ||||
\(685\) | 8.28220 | 0.316447 | ||||||||
\(686\) | −28.4318 | + | 0.251542i | −1.08553 | + | 0.00960391i | ||||
\(687\) | −19.2661 | + | 11.1233i | −0.735048 | + | 0.424380i | ||||
\(688\) | −34.2375 | + | 1.21210i | −1.30529 | + | 0.0462108i | ||||
\(689\) | 32.5878 | + | 56.4438i | 1.24150 | + | 2.15034i | ||||
\(690\) | −1.89009 | − | 3.20785i | −0.0719544 | − | 0.122121i | ||||
\(691\) | 27.6376 | + | 15.9566i | 1.05139 | + | 0.607018i | 0.923037 | − | 0.384711i | \(-0.125699\pi\) |
0.128349 | + | 0.991729i | \(0.459032\pi\) | |||||||
\(692\) | 12.8126 | + | 21.3121i | 0.487061 | + | 0.810163i | ||||
\(693\) | 0.519403 | + | 0.899632i | 0.0197305 | + | 0.0341742i | ||||
\(694\) | −2.92737 | + | 5.17557i | −0.111122 | + | 0.196462i | ||||
\(695\) | − | 11.6546i | − | 0.442085i | ||||||
\(696\) | 1.16940 | − | 2.15563i | 0.0443262 | − | 0.0817090i | ||||
\(697\) | − | 42.7404i | − | 1.61891i | ||||||
\(698\) | 1.19368 | − | 0.0105607i | 0.0451813 | − | 0.000399728i | ||||
\(699\) | −11.9482 | − | 6.89831i | −0.451923 | − | 0.260918i | ||||
\(700\) | 9.36489 | − | 16.9043i | 0.353960 | − | 0.638923i | ||||
\(701\) | 30.6740 | + | 17.7096i | 1.15854 | + | 0.668883i | 0.950954 | − | 0.309334i | \(-0.100106\pi\) |
0.207586 | + | 0.978217i | \(0.433439\pi\) | |||||||
\(702\) | −5.49144 | + | 3.23560i | −0.207261 | + | 0.122120i | ||||
\(703\) | 2.92288 | + | 1.68752i | 0.110238 | + | 0.0636462i | ||||
\(704\) | −1.82392 | + | 3.58604i | −0.0687415 | + | 0.135154i | ||||
\(705\) | 2.52869 | − | 4.37983i | 0.0952361 | − | 0.164954i | ||||
\(706\) | −32.4752 | + | 19.1346i | −1.22222 | + | 0.720141i | ||||
\(707\) | −18.9790 | + | 10.9575i | −0.713780 | + | 0.412101i | ||||
\(708\) | −0.281688 | − | 15.9184i | −0.0105865 | − | 0.598249i | ||||
\(709\) | −8.88087 | − | 15.3821i | −0.333528 | − | 0.577687i | 0.649673 | − | 0.760214i | \(-0.274906\pi\) |
−0.983201 | + | 0.182526i | \(0.941573\pi\) | |||||||
\(710\) | 1.98930 | − | 3.51707i | 0.0746571 | − | 0.131993i | ||||
\(711\) | −4.84032 | + | 8.38369i | −0.181526 | + | 0.314413i | ||||
\(712\) | −30.0499 | + | 0.797737i | −1.12617 | + | 0.0298965i | ||||
\(713\) | − | 38.9631i | − | 1.45918i | ||||||
\(714\) | 13.3149 | − | 0.117799i | 0.498296 | − | 0.00440852i | ||||
\(715\) | −1.28658 | −0.0481155 | ||||||||
\(716\) | −41.9169 | + | 0.741752i | −1.56651 | + | 0.0277206i | ||||
\(717\) | −10.8958 | + | 18.8721i | −0.406911 | + | 0.704790i | ||||
\(718\) | −0.210886 | − | 23.8365i | −0.00787020 | − | 0.889570i | ||||
\(719\) | −5.68667 | + | 3.28320i | −0.212077 | + | 0.122443i | −0.602276 | − | 0.798288i | \(-0.705739\pi\) |
0.390199 | + | 0.920730i | \(0.372406\pi\) | |||||||
\(720\) | 0.0803331 | + | 2.26913i | 0.00299384 | + | 0.0845654i | ||||
\(721\) | 7.42134 | − | 4.28471i | 0.276385 | − | 0.159571i | ||||
\(722\) | −3.25360 | + | 5.75233i | −0.121086 | + | 0.214080i | ||||
\(723\) | −3.30840 | −0.123041 | ||||||||
\(724\) | −9.30389 | + | 16.7942i | −0.345776 | + | 0.624151i | ||||
\(725\) | −2.02795 | + | 3.51250i | −0.0753160 | + | 0.130451i | ||||
\(726\) | −7.71549 | − | 13.0947i | −0.286349 | − | 0.485990i | ||||
\(727\) | 21.8417 | + | 37.8310i | 0.810065 | + | 1.40307i | 0.912818 | + | 0.408367i | \(0.133902\pi\) |
−0.102753 | + | 0.994707i | \(0.532765\pi\) | |||||||
\(728\) | 0.698781 | + | 26.3223i | 0.0258985 | + | 0.975569i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −4.29630 | + | 2.53141i | −0.159013 | + | 0.0936917i | ||||
\(731\) | 19.5197 | + | 33.8091i | 0.721963 | + | 1.25048i | ||||
\(732\) | 14.6088 | − | 8.78262i | 0.539956 | − | 0.324615i | ||||
\(733\) | −1.69271 | − | 0.977289i | −0.0625218 | − | 0.0360970i | 0.468413 | − | 0.883510i | \(-0.344826\pi\) |
−0.530935 | + | 0.847413i | \(0.678159\pi\) | |||||||
\(734\) | −6.02776 | + | 10.6570i | −0.222489 | + | 0.393358i | ||||
\(735\) | −1.34362 | + | 0.775742i | −0.0495603 | + | 0.0286137i | ||||
\(736\) | −22.1195 | + | 14.1104i | −0.815337 | + | 0.520117i | ||||
\(737\) | 0.498036 | + | 4.08620i | 0.0183454 | + | 0.150517i | ||||
\(738\) | −11.5422 | − | 6.52846i | −0.424876 | − | 0.240316i | ||||
\(739\) | −10.5730 | − | 18.3129i | −0.388933 | − | 0.673652i | 0.603373 | − | 0.797459i | \(-0.293823\pi\) |
−0.992306 | + | 0.123807i | \(0.960490\pi\) | |||||||
\(740\) | 0.674927 | − | 0.405758i | 0.0248108 | − | 0.0149160i | ||||
\(741\) | −10.9643 | + | 18.9907i | −0.402782 | + | 0.697639i | ||||
\(742\) | −36.7701 | − | 20.7977i | −1.34987 | − | 0.763506i | ||||
\(743\) | 39.0412 | − | 22.5404i | 1.43228 | − | 0.826928i | 0.434987 | − | 0.900437i | \(-0.356753\pi\) |
0.997295 | + | 0.0735085i | \(0.0234196\pi\) | |||||||
\(744\) | −11.3301 | + | 20.8855i | −0.415382 | + | 0.765698i | ||||
\(745\) | − | 4.27406i | − | 0.156589i | ||||||
\(746\) | −12.0562 | − | 6.81916i | −0.441409 | − | 0.249667i | ||||
\(747\) | 6.79123 | − | 3.92092i | 0.248478 | − | 0.143459i | ||||
\(748\) | 4.58391 | − | 0.0811158i | 0.167604 | − | 0.00296589i | ||||
\(749\) | −9.00383 | − | 5.19837i | −0.328993 | − | 0.189944i | ||||
\(750\) | −0.0687307 | − | 7.76864i | −0.00250969 | − | 0.283671i | ||||
\(751\) | 10.7942i | 0.393884i | 0.980415 | + | 0.196942i | \(0.0631011\pi\) | ||||
−0.980415 | + | 0.196942i | \(0.936899\pi\) | |||||||
\(752\) | −31.4747 | − | 16.7160i | −1.14776 | − | 0.609568i | ||||
\(753\) | −2.25380 | − | 3.90370i | −0.0821332 | − | 0.142259i | ||||
\(754\) | −0.0488913 | − | 5.52619i | −0.00178051 | − | 0.201252i | ||||
\(755\) | −5.23311 | − | 9.06401i | −0.190452 | − | 0.329873i | ||||
\(756\) | 2.00199 | − | 3.61374i | 0.0728117 | − | 0.131430i | ||||
\(757\) | 6.66198 | + | 3.84629i | 0.242134 | + | 0.139796i | 0.616157 | − | 0.787623i | \(-0.288689\pi\) |
−0.374023 | + | 0.927419i | \(0.622022\pi\) | |||||||
\(758\) | −25.8746 | − | 43.9143i | −0.939809 | − | 1.59504i | ||||
\(759\) | 2.33251i | 0.0846647i | ||||||||
\(760\) | 4.08399 | + | 6.65906i | 0.148142 | + | 0.241550i | ||||
\(761\) | −17.2468 | −0.625197 | −0.312598 | − | 0.949885i | \(-0.601199\pi\) | ||||
−0.312598 | + | 0.949885i | \(0.601199\pi\) | |||||||
\(762\) | −14.3885 | − | 8.13833i | −0.521240 | − | 0.294821i | ||||
\(763\) | 5.06508 | + | 2.92433i | 0.183368 | + | 0.105868i | ||||
\(764\) | −5.12784 | − | 8.52951i | −0.185519 | − | 0.308587i | ||||
\(765\) | 2.24074 | − | 1.29369i | 0.0810140 | − | 0.0467735i | ||||
\(766\) | 11.4204 | + | 19.3826i | 0.412635 | + | 0.700322i | ||||
\(767\) | −17.9386 | − | 31.0706i | −0.647726 | − | 1.12189i | ||||
\(768\) | 15.9599 | − | 1.13147i | 0.575905 | − | 0.0408283i | ||||
\(769\) | −35.3176 | − | 20.3906i | −1.27358 | − | 0.735304i | −0.297923 | − | 0.954590i | \(-0.596294\pi\) |
−0.975661 | + | 0.219286i | \(0.929627\pi\) | |||||||
\(770\) | 0.718472 | − | 0.423329i | 0.0258919 | − | 0.0152557i | ||||
\(771\) | −5.15090 | + | 8.92162i | −0.185505 | + | 0.321304i | ||||
\(772\) | −43.6378 | + | 0.772205i | −1.57056 | + | 0.0277923i | ||||
\(773\) | 6.37842 | − | 11.0477i | 0.229416 | − | 0.397360i | −0.728219 | − | 0.685344i | \(-0.759652\pi\) |
0.957635 | + | 0.287984i | \(0.0929852\pi\) | |||||||
\(774\) | 12.1119 | − | 0.107156i | 0.435353 | − | 0.00385165i | ||||
\(775\) | 19.6483 | − | 34.0319i | 0.705789 | − | 1.22246i | ||||
\(776\) | −25.6289 | + | 15.7181i | −0.920023 | + | 0.564248i | ||||
\(777\) | −1.43286 | −0.0514034 | ||||||||
\(778\) | −22.1680 | − | 37.6234i | −0.794760 | − | 1.34886i | ||||
\(779\) | −45.6222 | −1.63459 | ||||||||
\(780\) | 2.63631 | + | 4.38516i | 0.0943950 | + | 0.157014i | ||||
\(781\) | −2.19222 | + | 1.26568i | −0.0784436 | + | 0.0452895i | ||||
\(782\) | 26.0237 | + | 14.7194i | 0.930605 | + | 0.526363i | ||||
\(783\) | −0.433527 | + | 0.750890i | −0.0154930 | + | 0.0268346i | ||||
\(784\) | 5.79802 | + | 9.26885i | 0.207072 | + | 0.331030i | ||||
\(785\) | −7.12572 | + | 4.11404i | −0.254328 | + | 0.146836i | ||||
\(786\) | −0.0874862 | − | 9.88859i | −0.00312053 | − | 0.352714i | ||||
\(787\) | 13.0709 | + | 22.6395i | 0.465928 | + | 0.807011i | 0.999243 | − | 0.0389057i | \(-0.0123872\pi\) |
−0.533315 | + | 0.845917i | \(0.679054\pi\) | |||||||
\(788\) | 38.7949 | + | 21.4921i | 1.38201 | + | 0.765626i | ||||
\(789\) | 7.32912i | 0.260923i | ||||||||
\(790\) | 6.76421 | + | 3.82593i | 0.240660 | + | 0.136120i | ||||
\(791\) | −14.7555 | + | 8.51906i | −0.524643 | + | 0.302903i | ||||
\(792\) | 0.678272 | − | 1.25030i | 0.0241013 | − | 0.0444274i | ||||
\(793\) | 19.2058 | − | 33.2655i | 0.682019 | − | 1.18129i | ||||
\(794\) | 39.2461 | − | 0.347218i | 1.39279 | − | 0.0123223i | ||||
\(795\) | −8.20870 | −0.291133 | ||||||||
\(796\) | −29.8531 | + | 17.9473i | −1.05811 | + | 0.636126i | ||||
\(797\) | −24.0620 | + | 41.6765i | −0.852318 | + | 1.47626i | 0.0267926 | + | 0.999641i | \(0.491471\pi\) |
−0.879111 | + | 0.476617i | \(0.841863\pi\) | |||||||
\(798\) | −0.125742 | − | 14.2126i | −0.00445122 | − | 0.503122i | ||||
\(799\) | 40.6111i | 1.43672i | ||||||||
\(800\) | −26.4357 | + | 1.17014i | −0.934642 | + | 0.0413707i | ||||
\(801\) | 10.6280 | 0.375521 | ||||||||
\(802\) | 0.380750 | + | 43.0362i | 0.0134447 | + | 1.51966i | ||||
\(803\) | 3.12395 | 0.110242 | ||||||||
\(804\) | 12.9068 | − | 10.0704i | 0.455189 | − | 0.355157i | ||||
\(805\) | 5.43825 | 0.191673 | ||||||||
\(806\) | 0.473697 | + | 53.5421i | 0.0166853 | + | 1.88594i | ||||
\(807\) | −3.52992 | −0.124259 | ||||||||
\(808\) | 26.3768 | + | 14.3091i | 0.927933 | + | 0.503393i | ||||
\(809\) | − | 31.5695i | − | 1.10992i | −0.831876 | − | 0.554962i | \(-0.812733\pi\) | ||
0.831876 | − | 0.554962i | \(-0.187267\pi\) | |||||||
\(810\) | −0.00710190 | − | 0.802729i | −0.000249535 | − | 0.0282050i | ||||
\(811\) | 11.3567 | − | 19.6704i | 0.398788 | − | 0.690721i | −0.594788 | − | 0.803882i | \(-0.702764\pi\) |
0.993577 | + | 0.113161i | \(0.0360975\pi\) | |||||||
\(812\) | 1.84560 | + | 3.06993i | 0.0647680 | + | 0.107733i | ||||
\(813\) | −3.15572 | −0.110676 | ||||||||
\(814\) | −0.493328 | + | 0.00436456i | −0.0172911 | + | 0.000152978i | ||||
\(815\) | 1.62901 | − | 2.82153i | 0.0570617 | − | 0.0988337i | ||||
\(816\) | −9.66926 | − | 15.4575i | −0.338492 | − | 0.541120i | ||||
\(817\) | 36.0888 | − | 20.8359i | 1.26259 | − | 0.728955i | ||||
\(818\) | 43.8978 | + | 24.8292i | 1.53485 | + | 0.868133i | ||||
\(819\) | − | 9.30961i | − | 0.325304i | ||||||
\(820\) | −5.15861 | + | 9.31166i | −0.180146 | + | 0.325177i | ||||
\(821\) | −7.34108 | − | 12.7151i | −0.256206 | − | 0.443761i | 0.709017 | − | 0.705192i | \(-0.249139\pi\) |
−0.965222 | + | 0.261431i | \(0.915806\pi\) | |||||||
\(822\) | 0.182548 | + | 20.6335i | 0.00636711 | + | 0.719675i | ||||
\(823\) | 5.91436 | − | 3.41466i | 0.206162 | − | 0.119027i | −0.393365 | − | 0.919383i | \(-0.628689\pi\) |
0.599526 | + | 0.800355i | \(0.295356\pi\) | |||||||
\(824\) | −10.3141 | − | 5.59527i | −0.359308 | − | 0.194920i | ||||
\(825\) | −1.17624 | + | 2.03730i | −0.0409513 | + | 0.0709298i | ||||
\(826\) | 20.2408 | + | 11.4485i | 0.704268 | + | 0.398344i | ||||
\(827\) | −7.63475 | + | 4.40792i | −0.265486 | + | 0.153278i | −0.626835 | − | 0.779152i | \(-0.715650\pi\) |
0.361348 | + | 0.932431i | \(0.382316\pi\) | |||||||
\(828\) | 7.95007 | − | 4.77949i | 0.276284 | − | 0.166099i | ||||
\(829\) | 3.92127 | 0.136191 | 0.0680957 | − | 0.997679i | \(-0.478308\pi\) | ||||
0.0680957 | + | 0.997679i | \(0.478308\pi\) | |||||||
\(830\) | −3.19567 | − | 5.42367i | −0.110923 | − | 0.188258i | ||||
\(831\) | −4.91436 | −0.170477 | ||||||||
\(832\) | 30.2245 | − | 19.6591i | 1.04785 | − | 0.681556i | ||||
\(833\) | 6.22924 | − | 10.7894i | 0.215830 | − | 0.373829i | ||||
\(834\) | 29.0352 | − | 0.256880i | 1.00541 | − | 0.00889504i | ||||
\(835\) | −2.66197 | + | 4.61066i | −0.0921212 | + | 0.159559i | ||||
\(836\) | −0.0865852 | − | 4.89299i | −0.00299461 | − | 0.169227i | ||||
\(837\) | 4.20035 | − | 7.27522i | 0.145185 | − | 0.251468i | ||||
\(838\) | −15.2641 | + | 8.99374i | −0.527291 | + | 0.310684i | ||||
\(839\) | −27.3826 | − | 15.8094i | −0.945353 | − | 0.545800i | −0.0537184 | − | 0.998556i | \(-0.517107\pi\) |
−0.891634 | + | 0.452757i | \(0.850441\pi\) | |||||||
\(840\) | −2.91507 | − | 1.58139i | −0.100580 | − | 0.0545632i | ||||
\(841\) | 14.1241 | + | 24.4637i | 0.487038 | + | 0.843575i | ||||
\(842\) | −7.85637 | − | 13.3338i | −0.270748 | − | 0.459513i | ||||
\(843\) | −0.219861 | + | 0.126937i | −0.00757241 | + | 0.00437193i | ||||
\(844\) | −33.7891 | + | 20.3136i | −1.16307 | + | 0.699223i | ||||
\(845\) | 3.59475 | + | 2.07543i | 0.123663 | + | 0.0713970i | ||||
\(846\) | 10.9672 | + | 6.20321i | 0.377061 | + | 0.213271i | ||||
\(847\) | 22.1994 | 0.762779 | ||||||||
\(848\) | 2.04657 | + | 57.8085i | 0.0702796 | + | 1.98515i | ||||
\(849\) | 9.68330i | 0.332330i | ||||||||
\(850\) | 15.3074 | + | 25.9797i | 0.525040 | + | 0.891097i | ||||
\(851\) | −2.78626 | − | 1.60865i | −0.0955118 | − | 0.0551438i | ||||
\(852\) | 8.80593 | + | 4.87844i | 0.301686 | + | 0.167132i | ||||
\(853\) | 25.8580 | + | 44.7873i | 0.885360 | + | 1.53349i | 0.845300 | + | 0.534292i | \(0.179422\pi\) |
0.0400603 | + | 0.999197i | \(0.487245\pi\) | |||||||
\(854\) | 0.220259 | + | 24.8959i | 0.00753712 | + | 0.851922i | ||||
\(855\) | −1.38092 | − | 2.39182i | −0.0472265 | − | 0.0817986i | ||||
\(856\) | 0.377795 | + | 14.2311i | 0.0129128 | + | 0.486410i | ||||
\(857\) | − | 42.2264i | − | 1.44242i | −0.692714 | − | 0.721212i | \(-0.743585\pi\) | ||
0.692714 | − | 0.721212i | \(-0.256415\pi\) | |||||||
\(858\) | −0.0283576 | − | 3.20527i | −0.000968114 | − | 0.109426i | ||||
\(859\) | −7.66460 | − | 4.42516i | −0.261513 | − | 0.150984i | 0.363512 | − | 0.931590i | \(-0.381578\pi\) |
−0.625024 | + | 0.780605i | \(0.714911\pi\) | |||||||
\(860\) | −0.172035 | − | 9.72181i | −0.00586634 | − | 0.331511i | ||||
\(861\) | 16.7737 | − | 9.68431i | 0.571647 | − | 0.330040i | ||||
\(862\) | 32.8580 | + | 18.5849i | 1.11915 | + | 0.633005i | ||||
\(863\) | − | 38.0295i | − | 1.29454i | −0.762261 | − | 0.647269i | \(-0.775911\pi\) | ||
0.762261 | − | 0.647269i | \(-0.224089\pi\) | |||||||
\(864\) | −5.65132 | + | 0.250148i | −0.192262 | + | 0.00851022i | ||||
\(865\) | −6.11216 | + | 3.52886i | −0.207820 | + | 0.119985i | ||||
\(866\) | −35.3754 | − | 20.0088i | −1.20211 | − | 0.679928i | ||||
\(867\) | −1.88839 | + | 3.27079i | −0.0641332 | + | 0.111082i | ||||
\(868\) | −17.8817 | − | 29.7439i | −0.606944 | − | 1.00957i | ||||
\(869\) | −2.43422 | − | 4.21619i | −0.0825751 | − | 0.143024i | ||||
\(870\) | 0.605840 | + | 0.342672i | 0.0205399 | + | 0.0116177i | ||||
\(871\) | 14.4446 | − | 33.9454i | 0.489437 | − | 1.15020i | ||||
\(872\) | −0.212528 | − | 8.00568i | −0.00719710 | − | 0.271107i | ||||
\(873\) | 9.20546 | − | 5.31478i | 0.311558 | − | 0.179878i | ||||
\(874\) | 15.7118 | − | 27.7784i | 0.531461 | − | 0.939618i | ||||
\(875\) | 9.82715 | + | 5.67371i | 0.332218 | + | 0.191806i | ||||
\(876\) | −6.40121 | − | 10.6476i | −0.216277 | − | 0.359749i | ||||
\(877\) | 0.732342 | + | 1.26845i | 0.0247294 | + | 0.0428326i | 0.878125 | − | 0.478431i | \(-0.158794\pi\) |
−0.853396 | + | 0.521263i | \(0.825461\pi\) | |||||||
\(878\) | 8.30056 | − | 4.89075i | 0.280130 | − | 0.165055i | ||||
\(879\) | −1.34689 | −0.0454296 | ||||||||
\(880\) | −1.00847 | − | 0.535589i | −0.0339954 | − | 0.0180547i | ||||
\(881\) | 17.0588 | + | 29.5467i | 0.574725 | + | 0.995454i | 0.996071 | + | 0.0885537i | \(0.0282245\pi\) |
−0.421346 | + | 0.906900i | \(0.638442\pi\) | |||||||
\(882\) | −1.96222 | − | 3.33028i | −0.0660715 | − | 0.112136i | ||||
\(883\) | 24.4683 | − | 42.3803i | 0.823422 | − | 1.42621i | −0.0796966 | − | 0.996819i | \(-0.525395\pi\) |
0.903119 | − | 0.429390i | \(-0.141272\pi\) | |||||||
\(884\) | −35.9400 | − | 19.9106i | −1.20879 | − | 0.669665i | ||||
\(885\) | 4.51864 | 0.151892 | ||||||||
\(886\) | −2.99325 | + | 5.29203i | −0.100560 | + | 0.177789i | ||||
\(887\) | 27.0340 | − | 15.6081i | 0.907714 | − | 0.524069i | 0.0280187 | − | 0.999607i | \(-0.491080\pi\) |
0.879695 | + | 0.475539i | \(0.157747\pi\) | |||||||
\(888\) | 1.02574 | + | 1.67250i | 0.0344217 | + | 0.0561256i | ||||
\(889\) | 20.9100 | − | 12.0724i | 0.701299 | − | 0.404895i | ||||
\(890\) | −0.0754788 | − | 8.53138i | −0.00253006 | − | 0.285973i | ||||
\(891\) | −0.251452 | + | 0.435527i | −0.00842395 | + | 0.0145907i | ||||
\(892\) | −0.166258 | − | 9.39536i | −0.00556673 | − | 0.314580i | ||||
\(893\) | 43.3493 | 1.45063 | ||||||||
\(894\) | 10.6480 | − | 0.0942047i | 0.356122 | − | 0.00315068i | ||||
\(895\) | − | 11.8987i | − | 0.397729i | ||||||
\(896\) | −10.4099 | + | 20.9232i | −0.347771 | + | 0.698995i | ||||
\(897\) | 10.4518 | − | 18.1030i | 0.348975 | − | 0.604442i | ||||
\(898\) | 3.26211 | − | 5.76738i | 0.108858 | − | 0.192460i | ||||
\(899\) | 3.64193 | + | 6.30800i | 0.121465 | + | 0.210384i | ||||
\(900\) | 9.35411 | − | 0.165528i | 0.311804 | − | 0.00551761i | ||||
\(901\) | 57.0852 | − | 32.9581i | 1.90178 | − | 1.09799i | ||||
\(902\) | 5.74564 | − | 3.38537i | 0.191309 | − | 0.112721i | ||||
\(903\) | −8.84573 | + | 15.3213i | −0.294368 | + | 0.509860i | ||||
\(904\) | 20.5069 | + | 11.1248i | 0.682051 | + | 0.370005i | ||||
\(905\) | −4.71904 | − | 2.72454i | −0.156866 | − | 0.0905668i | ||||
\(906\) | 22.4659 | − | 13.2371i | 0.746379 | − | 0.439772i | ||||
\(907\) | −4.08998 | − | 2.36135i | −0.135806 | − | 0.0784074i | 0.430558 | − | 0.902563i | \(-0.358317\pi\) |
−0.566364 | + | 0.824156i | \(0.691650\pi\) | |||||||
\(908\) | 22.6817 | + | 12.5655i | 0.752718 | + | 0.417001i | ||||
\(909\) | −9.18807 | − | 5.30473i | −0.304749 | − | 0.175947i | ||||
\(910\) | −7.47310 | + | 0.0661159i | −0.247731 | + | 0.00219172i | ||||
\(911\) | − | 15.5917i | − | 0.516576i | −0.966068 | − | 0.258288i | \(-0.916842\pi\) | ||
0.966068 | − | 0.258288i | \(-0.0831584\pi\) | |||||||
\(912\) | −16.4997 | + | 10.3212i | −0.546361 | + | 0.341770i | ||||
\(913\) | 3.94369i | 0.130517i | ||||||||
\(914\) | 27.8080 | − | 49.1643i | 0.919808 | − | 1.62621i | ||||
\(915\) | 2.41892 | + | 4.18970i | 0.0799671 | + | 0.138507i | ||||
\(916\) | −38.1326 | + | 22.9249i | −1.25994 | + | 0.757458i | ||||
\(917\) | 12.5088 | + | 7.22197i | 0.413078 | + | 0.238491i | ||||
\(918\) | 3.27237 | + | 5.55385i | 0.108004 | + | 0.183304i | ||||
\(919\) | 4.70137 | + | 8.14301i | 0.155084 | + | 0.268613i | 0.933090 | − | 0.359644i | \(-0.117102\pi\) |
−0.778006 | + | 0.628257i | \(0.783769\pi\) | |||||||
\(920\) | −3.89310 | − | 6.34781i | −0.128352 | − | 0.209281i | ||||
\(921\) | −5.07786 | + | 2.93171i | −0.167321 | + | 0.0966030i | ||||
\(922\) | −24.5585 | + | 0.217274i | −0.808791 | + | 0.00715553i | ||||
\(923\) | 22.6856 | 0.746705 | ||||||||
\(924\) | 1.07048 | + | 1.78060i | 0.0352161 | + | 0.0585775i | ||||
\(925\) | −1.62242 | − | 2.81011i | −0.0533448 | − | 0.0923960i | ||||
\(926\) | 12.2510 | + | 20.7923i | 0.402591 | + | 0.683277i | ||||
\(927\) | 3.59279 | + | 2.07430i | 0.118003 | + | 0.0681290i | ||||
\(928\) | 2.26216 | − | 4.35197i | 0.0742592 | − | 0.142860i | ||||
\(929\) | 46.0965i | 1.51238i | 0.654354 | + | 0.756189i | \(0.272941\pi\) | ||||
−0.654354 | + | 0.756189i | \(0.727059\pi\) | |||||||
\(930\) | −5.86986 | − | 3.32008i | −0.192480 | − | 0.108870i | ||||
\(931\) | −11.5169 | − | 6.64926i | −0.377450 | − | 0.217921i | ||||
\(932\) | −24.1368 | − | 13.3717i | −0.790627 | − | 0.438003i | ||||
\(933\) | 19.1012 | 0.625344 | ||||||||
\(934\) | 29.4937 | − | 17.3779i | 0.965062 | − | 0.568621i | ||||
\(935\) | 1.30120i | 0.0425539i | ||||||||
\(936\) | −10.8667 | + | 6.66450i | −0.355188 | + | 0.217836i | ||||
\(937\) | − | 51.8263i | − | 1.69309i | −0.532315 | − | 0.846546i | \(-0.678678\pi\) | ||
0.532315 | − | 0.846546i | \(-0.321322\pi\) | |||||||
\(938\) | 3.10282 | + | 23.7091i | 0.101311 | + | 0.774128i | ||||
\(939\) | 14.8429i | 0.484378i | ||||||||
\(940\) | 4.90161 | − | 8.84776i | 0.159873 | − | 0.288582i | ||||
\(941\) | 49.4762i | 1.61288i | 0.591316 | + | 0.806440i | \(0.298608\pi\) | ||||
−0.591316 | + | 0.806440i | \(0.701392\pi\) | |||||||
\(942\) | −10.4064 | − | 17.6617i | −0.339058 | − | 0.575448i | ||||
\(943\) | 43.4898 | 1.41622 | ||||||||
\(944\) | −1.12658 | − | 31.8218i | −0.0366669 | − | 1.03571i | ||||
\(945\) | 1.01543 | + | 0.586261i | 0.0330320 | + | 0.0190711i | ||||
\(946\) | −2.99889 | + | 5.30201i | −0.0975023 | + | 0.172383i | ||||
\(947\) | 29.9429i | 0.973015i | 0.873676 | + | 0.486507i | \(0.161729\pi\) | ||||
−0.873676 | + | 0.486507i | \(0.838271\pi\) | |||||||
\(948\) | −9.38247 | + | 16.9360i | −0.304728 | + | 0.550057i | ||||
\(949\) | −24.2455 | − | 13.9982i | −0.787043 | − | 0.454399i | ||||
\(950\) | 27.7314 | − | 16.3396i | 0.899727 | − | 0.530125i | ||||
\(951\) | −16.1773 | − | 28.0199i | −0.524585 | − | 0.908608i | ||||
\(952\) | 26.6214 | − | 0.706721i | 0.862805 | − | 0.0229050i | ||||
\(953\) | −41.5955 | −1.34741 | −0.673705 | − | 0.739001i | \(-0.735298\pi\) | ||||
−0.673705 | + | 0.739001i | \(0.735298\pi\) | |||||||
\(954\) | −0.180928 | − | 20.4504i | −0.00585778 | − | 0.662106i | ||||
\(955\) | 2.44621 | − | 1.41232i | 0.0791574 | − | 0.0457015i | ||||
\(956\) | −21.1204 | + | 38.1238i | −0.683081 | + | 1.23301i | ||||
\(957\) | −0.218022 | − | 0.377625i | −0.00704765 | − | 0.0122069i | ||||
\(958\) | −40.5387 | + | 23.8857i | −1.30975 | + | 0.771712i | ||||
\(959\) | −26.1009 | − | 15.0693i | −0.842841 | − | 0.486614i | ||||
\(960\) | 0.240936 | + | 4.53470i | 0.00777619 | + | 0.146357i | ||||
\(961\) | −19.7859 | − | 34.2701i | −0.638254 | − | 1.10549i | ||||
\(962\) | 3.84836 | + | 2.17669i | 0.124076 | + | 0.0701792i | ||||
\(963\) | − | 5.03323i | − | 0.162194i | ||||||
\(964\) | −6.61577 | + | 0.117071i | −0.213080 | + | 0.00377061i | ||||
\(965\) | − | 12.3872i | − | 0.398757i | ||||||
\(966\) | 0.119865 | + | 13.5483i | 0.00385659 | + | 0.435911i | ||||
\(967\) | 3.19424 | + | 1.84419i | 0.102720 | + | 0.0593052i | 0.550480 | − | 0.834848i | \(-0.314445\pi\) |
−0.447760 | + | 0.894154i | \(0.647778\pi\) | |||||||
\(968\) | −15.8919 | − | 25.9123i | −0.510786 | − | 0.832852i | ||||
\(969\) | 19.2065 | + | 11.0888i | 0.617000 | + | 0.356225i | ||||
\(970\) | −4.33170 | − | 7.35175i | −0.139083 | − | 0.236050i | ||||
\(971\) | 8.92628 | + | 5.15359i | 0.286458 | + | 0.165387i | 0.636343 | − | 0.771406i | \(-0.280446\pi\) |
−0.349885 | + | 0.936792i | \(0.613780\pi\) | |||||||
\(972\) | 1.99969 | − | 0.0353860i | 0.0641400 | − | 0.00113501i | ||||
\(973\) | −21.2054 | + | 36.7289i | −0.679815 | + | 1.17747i | ||||
\(974\) | −10.8286 | − | 18.3783i | −0.346972 | − | 0.588879i | ||||
\(975\) | 18.2580 | − | 10.5413i | 0.584724 | − | 0.337590i | ||||
\(976\) | 28.9022 | − | 18.0794i | 0.925137 | − | 0.578709i | ||||
\(977\) | −10.3662 | − | 17.9548i | −0.331645 | − | 0.574425i | 0.651190 | − | 0.758915i | \(-0.274270\pi\) |
−0.982834 | + | 0.184490i | \(0.940937\pi\) | |||||||
\(978\) | 7.06519 | + | 3.99617i | 0.225920 | + | 0.127783i | ||||
\(979\) | −2.67242 | + | 4.62877i | −0.0854110 | + | 0.147936i | ||||
\(980\) | −2.65938 | + | 1.59879i | −0.0849507 | + | 0.0510713i | ||||
\(981\) | 2.83143i | 0.0904007i | ||||||||
\(982\) | −0.216233 | − | 24.4408i | −0.00690027 | − | 0.779939i | ||||
\(983\) | 21.4317 | 0.683567 | 0.341783 | − | 0.939779i | \(-0.388969\pi\) | ||||
0.341783 | + | 0.939779i | \(0.388969\pi\) | |||||||
\(984\) | −23.3119 | − | 12.6464i | −0.743156 | − | 0.403154i | ||||
\(985\) | −6.29373 | + | 10.9011i | −0.200535 | + | 0.347337i | ||||
\(986\) | −5.58898 | + | 0.0494468i | −0.177990 | + | 0.00157471i | ||||
\(987\) | −15.9381 | + | 9.20184i | −0.507314 | + | 0.292898i | ||||
\(988\) | −21.2531 | + | 38.3633i | −0.676151 | + | 1.22050i | ||||
\(989\) | −34.4020 | + | 19.8620i | −1.09392 | + | 0.631574i | ||||
\(990\) | 0.351396 | + | 0.198755i | 0.0111681 | + | 0.00631684i | ||||
\(991\) | 27.3814 | 0.869800 | 0.434900 | − | 0.900479i | \(-0.356784\pi\) | ||||
0.434900 | + | 0.900479i | \(0.356784\pi\) | |||||||
\(992\) | −21.9176 | + | 42.1653i | −0.695886 | + | 1.33875i | ||||
\(993\) | 7.43209 | − | 12.8728i | 0.235850 | − | 0.408505i | ||||
\(994\) | −12.6684 | + | 7.46432i | −0.401818 | + | 0.236754i | ||||
\(995\) | −4.94308 | − | 8.56166i | −0.156706 | − | 0.271423i | ||||
\(996\) | 13.4416 | − | 8.08092i | 0.425913 | − | 0.256054i | ||||
\(997\) | −28.0470 | −0.888256 | −0.444128 | − | 0.895963i | \(-0.646486\pi\) | ||||
−0.444128 | + | 0.895963i | \(0.646486\pi\) | |||||||
\(998\) | 3.30578 | + | 5.61055i | 0.104643 | + | 0.177599i | ||||
\(999\) | −0.346835 | − | 0.600736i | −0.0109734 | − | 0.0190064i |
(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 | 804.2.j.b.499.1 | yes | 68 | |
4.3 | odd | 2 | 804.2.j.a.499.12 | ✓ | 68 | ||
67.38 | odd | 6 | 804.2.j.a.775.12 | yes | 68 | ||
268.239 | even | 6 | inner | 804.2.j.b.775.1 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.j.a.499.12 | ✓ | 68 | 4.3 | odd | 2 | ||
804.2.j.a.775.12 | yes | 68 | 67.38 | odd | 6 | ||
804.2.j.b.499.1 | yes | 68 | 1.1 | even | 1 | trivial | |
804.2.j.b.775.1 | yes | 68 | 268.239 | even | 6 | inner |