Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(53,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.ce (of order \(12\), degree \(4\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 53.8 | ||
Character | \(\chi\) | \(=\) | 315.53 |
Dual form | 315.2.ce.a.107.8 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0362581 | + | 0.135317i | −0.0256384 | + | 0.0956837i | −0.977559 | − | 0.210660i | \(-0.932439\pi\) |
0.951921 | + | 0.306343i | \(0.0991055\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.71505 | + | 0.990187i | 0.857527 | + | 0.495094i | ||||
\(5\) | −1.87468 | + | 1.21884i | −0.838384 | + | 0.545080i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.702570 | − | 2.55076i | 0.265546 | − | 0.964098i | ||||
\(8\) | −0.394292 | + | 0.394292i | −0.139403 | + | 0.139403i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0969571 | − | 0.297870i | −0.0306605 | − | 0.0941947i | ||||
\(11\) | 4.85164 | + | 2.80110i | 1.46282 | + | 0.844562i | 0.999141 | − | 0.0414391i | \(-0.0131942\pi\) |
0.463683 | + | 0.886001i | \(0.346528\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.57764 | + | 2.57764i | 0.714910 | + | 0.714910i | 0.967558 | − | 0.252648i | \(-0.0813016\pi\) |
−0.252648 | + | 0.967558i | \(0.581302\pi\) | |||||||
\(14\) | 0.319688 | + | 0.187556i | 0.0854403 | + | 0.0501264i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.94132 | + | 3.36246i | 0.485329 | + | 0.840615i | ||||
\(17\) | 0.269375 | − | 0.0721789i | 0.0653331 | − | 0.0175059i | −0.226004 | − | 0.974126i | \(-0.572566\pi\) |
0.291338 | + | 0.956620i | \(0.405900\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.44554 | + | 2.56664i | −1.01988 | + | 0.588827i | −0.914069 | − | 0.405560i | \(-0.867077\pi\) |
−0.105809 | + | 0.994386i | \(0.533743\pi\) | |||||||
\(20\) | −4.42206 | + | 0.234084i | −0.988803 | + | 0.0523428i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.554948 | + | 0.554948i | −0.118315 | + | 0.118315i | ||||
\(23\) | −4.46964 | − | 1.19764i | −0.931985 | − | 0.249725i | −0.239284 | − | 0.970950i | \(-0.576913\pi\) |
−0.692701 | + | 0.721225i | \(0.743579\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.02887 | − | 4.56987i | 0.405775 | − | 0.913973i | ||||
\(26\) | −0.442260 | + | 0.255339i | −0.0867344 | + | 0.0500761i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.73068 | − | 3.67902i | 0.705032 | − | 0.695270i | ||||
\(29\) | 2.91358 | 0.541038 | 0.270519 | − | 0.962715i | \(-0.412805\pi\) | ||||
0.270519 | + | 0.962715i | \(0.412805\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.09319 | + | 1.89346i | −0.196342 | + | 0.340075i | −0.947340 | − | 0.320230i | \(-0.896240\pi\) |
0.750998 | + | 0.660305i | \(0.229573\pi\) | |||||||
\(32\) | −1.60261 | + | 0.429419i | −0.283305 | + | 0.0759113i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.0390682i | 0.00670014i | ||||||||
\(35\) | 1.79187 | + | 5.63819i | 0.302881 | + | 0.953028i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.35120 | + | 1.96975i | 1.20853 | + | 0.323825i | 0.806185 | − | 0.591664i | \(-0.201529\pi\) |
0.402345 | + | 0.915488i | \(0.368195\pi\) | |||||||
\(38\) | −0.186123 | − | 0.694620i | −0.0301931 | − | 0.112682i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.258595 | − | 1.21975i | 0.0408875 | − | 0.192860i | ||||
\(41\) | − | 8.73280i | − | 1.36383i | −0.731429 | − | 0.681917i | \(-0.761146\pi\) | ||
0.731429 | − | 0.681917i | \(-0.238854\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.90533 | − | 5.90533i | −0.900554 | − | 0.900554i | 0.0949298 | − | 0.995484i | \(-0.469737\pi\) |
−0.995484 | + | 0.0949298i | \(0.969737\pi\) | |||||||
\(44\) | 5.54722 | + | 9.60806i | 0.836275 | + | 1.44847i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.324122 | − | 0.561396i | 0.0477892 | − | 0.0827733i | ||||
\(47\) | 2.91250 | − | 10.8696i | 0.424832 | − | 1.58549i | −0.339457 | − | 0.940621i | \(-0.610243\pi\) |
0.764289 | − | 0.644873i | \(-0.223090\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.01279 | − | 3.58418i | −0.858970 | − | 0.512025i | ||||
\(50\) | 0.544818 | + | 0.440237i | 0.0770490 | + | 0.0622589i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.86845 | + | 6.97315i | 0.259107 | + | 0.967002i | ||||
\(53\) | −0.417606 | − | 1.55853i | −0.0573627 | − | 0.214080i | 0.931295 | − | 0.364265i | \(-0.118680\pi\) |
−0.988658 | + | 0.150185i | \(0.952013\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −12.5094 | + | 0.662190i | −1.68676 | + | 0.0892896i | ||||
\(56\) | 0.728729 | + | 1.28276i | 0.0973805 | + | 0.171417i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.105641 | + | 0.394257i | −0.0138713 | + | 0.0517685i | ||||
\(59\) | −1.62708 | + | 2.81818i | −0.211827 | + | 0.366896i | −0.952286 | − | 0.305206i | \(-0.901275\pi\) |
0.740459 | + | 0.672101i | \(0.234608\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.06088 | − | 1.83751i | −0.135832 | − | 0.235269i | 0.790083 | − | 0.613000i | \(-0.210038\pi\) |
−0.925915 | + | 0.377732i | \(0.876704\pi\) | |||||||
\(62\) | −0.216580 | − | 0.216580i | −0.0275057 | − | 0.0275057i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.53283i | 0.941604i | ||||||||
\(65\) | −7.97399 | − | 1.69054i | −0.989052 | − | 0.209686i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.85630 | − | 6.92780i | −0.226783 | − | 0.846366i | −0.981682 | − | 0.190525i | \(-0.938981\pi\) |
0.754899 | − | 0.655841i | \(-0.227686\pi\) | |||||||
\(68\) | 0.533464 | + | 0.142941i | 0.0646920 | + | 0.0173342i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.827914 | + | 0.0380404i | −0.0989547 | + | 0.00454670i | ||||
\(71\) | − | 8.16308i | − | 0.968779i | −0.874852 | − | 0.484390i | \(-0.839042\pi\) | ||
0.874852 | − | 0.484390i | \(-0.160958\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.92016 | + | 2.12220i | −0.926985 | + | 0.248385i | −0.690569 | − | 0.723267i | \(-0.742640\pi\) |
−0.236416 | + | 0.971652i | \(0.575973\pi\) | |||||||
\(74\) | −0.533082 | + | 0.923325i | −0.0619695 | + | 0.107334i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −10.1658 | −1.16610 | ||||||||
\(77\) | 10.5535 | − | 10.4074i | 1.20269 | − | 1.18604i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.500892 | + | 0.289190i | −0.0563548 | + | 0.0325364i | −0.527913 | − | 0.849299i | \(-0.677025\pi\) |
0.471558 | + | 0.881835i | \(0.343692\pi\) | |||||||
\(80\) | −7.73764 | − | 3.93740i | −0.865095 | − | 0.440214i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.18170 | + | 0.316635i | 0.130497 | + | 0.0349665i | ||||
\(83\) | 3.12616 | − | 3.12616i | 0.343140 | − | 0.343140i | −0.514406 | − | 0.857547i | \(-0.671988\pi\) |
0.857547 | + | 0.514406i | \(0.171988\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.417019 | + | 0.463637i | −0.0452321 | + | 0.0502885i | ||||
\(86\) | 1.01321 | − | 0.584977i | 0.109257 | − | 0.0630796i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.01741 | + | 0.808514i | −0.321657 | + | 0.0861879i | ||||
\(89\) | 6.29155 | + | 10.8973i | 0.666903 | + | 1.15511i | 0.978766 | + | 0.204982i | \(0.0657137\pi\) |
−0.311863 | + | 0.950127i | \(0.600953\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.38594 | − | 4.76399i | 0.879085 | − | 0.499402i | ||||
\(92\) | −6.47980 | − | 6.47980i | −0.675566 | − | 0.675566i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.36524 | + | 0.788224i | 0.140814 | + | 0.0812991i | ||||
\(95\) | 5.20568 | − | 10.2300i | 0.534091 | − | 1.04958i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.25038 | + | 8.25038i | −0.837699 | + | 0.837699i | −0.988556 | − | 0.150857i | \(-0.951797\pi\) |
0.150857 | + | 0.988556i | \(0.451797\pi\) | |||||||
\(98\) | 0.703014 | − | 0.683679i | 0.0710151 | − | 0.0690620i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.00465 | − | 5.82860i | 0.800465 | − | 0.582860i | ||||
\(101\) | −4.26270 | − | 2.46107i | −0.424155 | − | 0.244886i | 0.272698 | − | 0.962100i | \(-0.412084\pi\) |
−0.696853 | + | 0.717214i | \(0.745417\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.06023 | − | 15.1530i | 0.400066 | − | 1.49307i | −0.412911 | − | 0.910771i | \(-0.635488\pi\) |
0.812977 | − | 0.582295i | \(-0.197845\pi\) | |||||||
\(104\) | −2.03269 | −0.199322 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.226037 | 0.0219547 | ||||||||
\(107\) | −4.92124 | + | 18.3663i | −0.475755 | + | 1.77554i | 0.142749 | + | 0.989759i | \(0.454406\pi\) |
−0.618504 | + | 0.785782i | \(0.712261\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.50313 | − | 5.48663i | −0.910234 | − | 0.525524i | −0.0297279 | − | 0.999558i | \(-0.509464\pi\) |
−0.880507 | + | 0.474034i | \(0.842797\pi\) | |||||||
\(110\) | 0.363961 | − | 1.71674i | 0.0347023 | − | 0.163685i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 9.94075 | − | 2.58948i | 0.939312 | − | 0.244683i | ||||
\(113\) | −6.16850 | + | 6.16850i | −0.580283 | + | 0.580283i | −0.934981 | − | 0.354698i | \(-0.884584\pi\) |
0.354698 | + | 0.934981i | \(0.384584\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.83889 | − | 3.20257i | 0.917481 | − | 0.298642i | ||||
\(116\) | 4.99695 | + | 2.88499i | 0.463955 | + | 0.267864i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.322353 | − | 0.322353i | −0.0296750 | − | 0.0296750i | ||||
\(119\) | 0.00514358 | − | 0.737823i | 0.000471512 | − | 0.0676361i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.1923 | + | 17.6535i | 0.926570 | + | 1.60487i | ||||
\(122\) | 0.287112 | − | 0.0769314i | 0.0259939 | − | 0.00696504i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.74975 | + | 2.16492i | −0.336738 | + | 0.194416i | ||||
\(125\) | 1.76642 | + | 11.0399i | 0.157994 | + | 0.987440i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.05336 | − | 2.05336i | 0.182207 | − | 0.182207i | −0.610110 | − | 0.792317i | \(-0.708875\pi\) |
0.792317 | + | 0.610110i | \(0.208875\pi\) | |||||||
\(128\) | −4.22455 | − | 1.13196i | −0.373401 | − | 0.100053i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.517881 | − | 1.01772i | 0.0454212 | − | 0.0892602i | ||||
\(131\) | 8.49260 | − | 4.90320i | 0.742002 | − | 0.428395i | −0.0807949 | − | 0.996731i | \(-0.525746\pi\) |
0.822797 | + | 0.568336i | \(0.192413\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.42358 | + | 13.1428i | 0.296862 | + | 1.13962i | ||||
\(134\) | 1.00476 | 0.0867978 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.0777530 | + | 0.134672i | −0.00666727 | + | 0.0115480i | ||||
\(137\) | 1.67549 | − | 0.448946i | 0.143147 | − | 0.0383560i | −0.186534 | − | 0.982448i | \(-0.559726\pi\) |
0.329681 | + | 0.944092i | \(0.393059\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.52988i | 0.214581i | 0.994228 | + | 0.107291i | \(0.0342175\pi\) | ||||
−0.994228 | + | 0.107291i | \(0.965782\pi\) | |||||||
\(140\) | −2.50971 | + | 11.4441i | −0.212109 | + | 0.967202i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.10461 | + | 0.295978i | 0.0926964 | + | 0.0248379i | ||||
\(143\) | 5.28557 | + | 19.7260i | 0.442002 | + | 1.64957i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.46204 | + | 3.55118i | −0.453598 | + | 0.294909i | ||||
\(146\) | − | 1.14868i | − | 0.0950656i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.6573 | + | 10.6573i | 0.876024 | + | 0.876024i | ||||
\(149\) | 0.245378 | + | 0.425006i | 0.0201021 | + | 0.0348179i | 0.875901 | − | 0.482490i | \(-0.160268\pi\) |
−0.855799 | + | 0.517308i | \(0.826934\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.23973 | − | 3.87932i | 0.182266 | − | 0.315695i | −0.760386 | − | 0.649472i | \(-0.774990\pi\) |
0.942652 | + | 0.333777i | \(0.108323\pi\) | |||||||
\(152\) | 0.740839 | − | 2.76485i | 0.0600900 | − | 0.224259i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.02565 | + | 1.80543i | 0.0826494 | + | 0.145486i | ||||
\(155\) | −0.258434 | − | 4.88205i | −0.0207579 | − | 0.392135i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.29775 | + | 4.84326i | 0.103572 | + | 0.386534i | 0.998179 | − | 0.0603181i | \(-0.0192115\pi\) |
−0.894608 | + | 0.446853i | \(0.852545\pi\) | |||||||
\(158\) | −0.0209710 | − | 0.0782649i | −0.00166836 | − | 0.00622642i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.48100 | − | 2.75835i | 0.196140 | − | 0.218067i | ||||
\(161\) | −6.19512 | + | 10.5596i | −0.488244 | + | 0.832211i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.995538 | − | 3.71540i | 0.0779766 | − | 0.291013i | −0.915915 | − | 0.401372i | \(-0.868534\pi\) |
0.993892 | + | 0.110359i | \(0.0352002\pi\) | |||||||
\(164\) | 8.64711 | − | 14.9772i | 0.675226 | − | 1.16953i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.309674 | + | 0.536372i | 0.0240354 | + | 0.0416305i | ||||
\(167\) | −6.52767 | − | 6.52767i | −0.505126 | − | 0.505126i | 0.407900 | − | 0.913026i | \(-0.366261\pi\) |
−0.913026 | + | 0.407900i | \(0.866261\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.288498i | 0.0221921i | ||||||||
\(170\) | −0.0476177 | − | 0.0732405i | −0.00365211 | − | 0.00561729i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.28058 | − | 15.9753i | −0.326391 | − | 1.21811i | ||||
\(173\) | −21.3715 | − | 5.72648i | −1.62485 | − | 0.435376i | −0.672426 | − | 0.740164i | \(-0.734748\pi\) |
−0.952420 | + | 0.304788i | \(0.901414\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.2312 | − | 8.38583i | −0.773408 | − | 0.633909i | ||||
\(176\) | 21.7512i | 1.63956i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.70271 | + | 0.456240i | −0.127624 | + | 0.0341966i | ||||
\(179\) | −0.559683 | + | 0.969400i | −0.0418327 | + | 0.0724564i | −0.886184 | − | 0.463334i | \(-0.846653\pi\) |
0.844351 | + | 0.535790i | \(0.179986\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.1037 | 0.973990 | 0.486995 | − | 0.873405i | \(-0.338093\pi\) | ||||
0.486995 | + | 0.873405i | \(0.338093\pi\) | |||||||
\(182\) | 0.340591 | + | 1.30750i | 0.0252463 | + | 0.0969180i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.23457 | − | 1.29013i | 0.164734 | − | 0.0951094i | ||||
\(185\) | −16.1820 | + | 5.26726i | −1.18972 | + | 0.387257i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.50909 | + | 0.404360i | 0.110356 | + | 0.0295697i | ||||
\(188\) | 15.7580 | − | 15.7580i | 1.14927 | − | 1.14927i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.19555 | + | 1.07534i | 0.0867343 | + | 0.0780133i | ||||
\(191\) | 4.65087 | − | 2.68518i | 0.336525 | − | 0.194293i | −0.322209 | − | 0.946669i | \(-0.604425\pi\) |
0.658734 | + | 0.752375i | \(0.271092\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 14.1985 | − | 3.80447i | 1.02203 | − | 0.273852i | 0.291381 | − | 0.956607i | \(-0.405885\pi\) |
0.730647 | + | 0.682756i | \(0.239219\pi\) | |||||||
\(194\) | −0.817275 | − | 1.41556i | −0.0586769 | − | 0.101631i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.76326 | − | 12.1009i | −0.483090 | − | 0.864347i | ||||
\(197\) | 8.27206 | + | 8.27206i | 0.589360 | + | 0.589360i | 0.937458 | − | 0.348098i | \(-0.113172\pi\) |
−0.348098 | + | 0.937458i | \(0.613172\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 18.3771 | + | 10.6100i | 1.30272 | + | 0.752123i | 0.980869 | − | 0.194669i | \(-0.0623632\pi\) |
0.321847 | + | 0.946792i | \(0.395696\pi\) | |||||||
\(200\) | 1.00189 | + | 2.60183i | 0.0708446 | + | 0.183977i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.487583 | − | 0.487583i | 0.0343063 | − | 0.0343063i | ||||
\(203\) | 2.04699 | − | 7.43185i | 0.143671 | − | 0.521614i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.6439 | + | 16.3712i | 0.743399 | + | 1.14342i | ||||
\(206\) | 1.90324 | + | 1.09884i | 0.132605 | + | 0.0765596i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.66320 | + | 13.6712i | −0.253997 | + | 0.947930i | ||||
\(209\) | −28.7576 | −1.98920 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.90207 | −0.475158 | −0.237579 | − | 0.971368i | \(-0.576354\pi\) | ||||
−0.237579 | + | 0.971368i | \(0.576354\pi\) | |||||||
\(212\) | 0.827017 | − | 3.08647i | 0.0567998 | − | 0.211980i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.30685 | − | 1.33186i | −0.157693 | − | 0.0910440i | ||||
\(215\) | 18.2683 | + | 3.87299i | 1.24588 | + | 0.264136i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.06172 | + | 4.11875i | 0.275727 | + | 0.279599i | ||||
\(218\) | 1.08700 | − | 1.08700i | 0.0736211 | − | 0.0736211i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −22.1099 | − | 11.2509i | −1.49065 | − | 0.758537i | ||||
\(221\) | 0.880405 | + | 0.508302i | 0.0592224 | + | 0.0341921i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.35446 | + | 1.35446i | 0.0907015 | + | 0.0907015i | 0.751002 | − | 0.660300i | \(-0.229571\pi\) |
−0.660300 | + | 0.751002i | \(0.729571\pi\) | |||||||
\(224\) | −0.0306011 | + | 4.38959i | −0.00204462 | + | 0.293292i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.611046 | − | 1.05836i | −0.0406462 | − | 0.0704012i | ||||
\(227\) | 7.86549 | − | 2.10755i | 0.522051 | − | 0.139883i | 0.0118356 | − | 0.999930i | \(-0.496233\pi\) |
0.510215 | + | 0.860047i | \(0.329566\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.4727 | − | 6.62377i | 0.758138 | − | 0.437711i | −0.0704890 | − | 0.997513i | \(-0.522456\pi\) |
0.828627 | + | 0.559802i | \(0.189123\pi\) | |||||||
\(230\) | 0.0766237 | + | 1.44749i | 0.00505242 | + | 0.0954447i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.14880 | + | 1.14880i | −0.0754225 | + | 0.0754225i | ||||
\(233\) | −7.86648 | − | 2.10782i | −0.515350 | − | 0.138088i | −0.00823515 | − | 0.999966i | \(-0.502621\pi\) |
−0.507115 | + | 0.861878i | \(0.669288\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.78826 | + | 23.9269i | 0.508050 | + | 1.56082i | ||||
\(236\) | −5.58105 | + | 3.22222i | −0.363295 | + | 0.209749i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.0996537 | + | 0.0274481i | 0.00645959 | + | 0.00177920i | ||||
\(239\) | 8.41041 | 0.544024 | 0.272012 | − | 0.962294i | \(-0.412311\pi\) | ||||
0.272012 | + | 0.962294i | \(0.412311\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.122931 | − | 0.212922i | 0.00791866 | − | 0.0137155i | −0.862039 | − | 0.506842i | \(-0.830813\pi\) |
0.869958 | + | 0.493127i | \(0.164146\pi\) | |||||||
\(242\) | −2.75838 | + | 0.739106i | −0.177315 | + | 0.0475115i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 4.20190i | − | 0.268999i | ||||||
\(245\) | 15.6406 | − | 0.609413i | 0.999242 | − | 0.0389339i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −18.0749 | − | 4.84316i | −1.15008 | − | 0.308163i | ||||
\(248\) | −0.315540 | − | 1.17761i | −0.0200368 | − | 0.0747783i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.55794 | − | 0.161259i | −0.0985327 | − | 0.0101989i | ||||
\(251\) | 0.458108i | 0.0289155i | 0.999895 | + | 0.0144577i | \(0.00460220\pi\) | ||||
−0.999895 | + | 0.0144577i | \(0.995398\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −18.3304 | − | 18.3304i | −1.15242 | − | 1.15242i | ||||
\(254\) | 0.203404 | + | 0.352307i | 0.0127627 | + | 0.0221057i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7.22649 | + | 12.5166i | −0.451655 | + | 0.782290i | ||||
\(257\) | −6.46934 | + | 24.1439i | −0.403546 | + | 1.50605i | 0.403175 | + | 0.915123i | \(0.367907\pi\) |
−0.806721 | + | 0.590932i | \(0.798760\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.1891 | − | 17.3673i | 0.633119 | − | 1.07915i | ||||
\(260\) | −12.0019 | − | 10.7951i | −0.744325 | − | 0.669485i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.355562 | + | 1.32698i | 0.0219667 | + | 0.0819809i | ||||
\(263\) | 4.50748 | + | 16.8221i | 0.277943 | + | 1.03730i | 0.953843 | + | 0.300304i | \(0.0970882\pi\) |
−0.675901 | + | 0.736993i | \(0.736245\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.68247 | + | 2.41275i | 0.164783 | + | 0.148214i | ||||
\(266\) | −1.90258 | − | 0.0132634i | −0.116654 | − | 0.000813233i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.67617 | − | 13.7196i | 0.224558 | − | 0.838061i | ||||
\(269\) | 7.44692 | − | 12.8984i | 0.454047 | − | 0.786432i | −0.544586 | − | 0.838705i | \(-0.683313\pi\) |
0.998633 | + | 0.0522730i | \(0.0166466\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.64716 | − | 13.2453i | −0.464532 | − | 0.804593i | 0.534648 | − | 0.845075i | \(-0.320444\pi\) |
−0.999180 | + | 0.0404815i | \(0.987111\pi\) | |||||||
\(272\) | 0.765641 | + | 0.765641i | 0.0464238 | + | 0.0464238i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.243001i | 0.0146802i | ||||||||
\(275\) | 22.6440 | − | 16.4883i | 1.36548 | − | 0.994280i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.67393 | + | 9.97926i | 0.160661 | + | 0.599595i | 0.998554 | + | 0.0537606i | \(0.0171208\pi\) |
−0.837893 | + | 0.545835i | \(0.816213\pi\) | |||||||
\(278\) | −0.342336 | − | 0.0917287i | −0.0205319 | − | 0.00550152i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.92962 | − | 1.51658i | −0.175078 | − | 0.0906327i | ||||
\(281\) | − | 23.6675i | − | 1.41189i | −0.708268 | − | 0.705943i | \(-0.750523\pi\) | ||
0.708268 | − | 0.705943i | \(-0.249477\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.04083 | + | 1.88659i | −0.418534 | + | 0.112146i | −0.461939 | − | 0.886912i | \(-0.652846\pi\) |
0.0434049 | + | 0.999058i | \(0.486179\pi\) | |||||||
\(284\) | 8.08298 | − | 14.0001i | 0.479636 | − | 0.830755i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.86092 | −0.169170 | ||||||||
\(287\) | −22.2753 | − | 6.13540i | −1.31487 | − | 0.362161i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.6551 | + | 8.46111i | −0.862063 | + | 0.497713i | ||||
\(290\) | −0.282492 | − | 0.867867i | −0.0165885 | − | 0.0509629i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −15.6849 | − | 4.20275i | −0.917889 | − | 0.245948i | ||||
\(293\) | 10.0145 | − | 10.0145i | 0.585052 | − | 0.585052i | −0.351235 | − | 0.936287i | \(-0.614238\pi\) |
0.936287 | + | 0.351235i | \(0.114238\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.384647 | − | 7.26633i | −0.0223950 | − | 0.423062i | ||||
\(296\) | −3.67518 | + | 2.12187i | −0.213615 | + | 0.123331i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.0664076 | + | 0.0177939i | −0.00384689 | + | 0.00103077i | ||||
\(299\) | −8.43407 | − | 14.6082i | −0.487755 | − | 0.844816i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −19.2120 | + | 10.9142i | −1.10736 | + | 0.629084i | ||||
\(302\) | 0.443731 | + | 0.443731i | 0.0255338 | + | 0.0255338i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −17.2604 | − | 9.96531i | −0.989953 | − | 0.571550i | ||||
\(305\) | 4.22844 | + | 2.15170i | 0.242120 | + | 0.123206i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.93300 | + | 4.93300i | −0.281541 | + | 0.281541i | −0.833723 | − | 0.552182i | \(-0.813795\pi\) |
0.552182 | + | 0.833723i | \(0.313795\pi\) | |||||||
\(308\) | 28.4052 | − | 7.39931i | 1.61854 | − | 0.421615i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.669995 | + | 0.142043i | 0.0380532 | + | 0.00806752i | ||||
\(311\) | −24.2000 | − | 13.9719i | −1.37226 | − | 0.792272i | −0.381044 | − | 0.924557i | \(-0.624435\pi\) |
−0.991212 | + | 0.132284i | \(0.957769\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.72690 | + | 13.9090i | −0.210657 | + | 0.786182i | 0.776994 | + | 0.629509i | \(0.216744\pi\) |
−0.987650 | + | 0.156674i | \(0.949923\pi\) | |||||||
\(314\) | −0.702431 | −0.0396405 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.14541 | −0.0644343 | ||||||||
\(317\) | −3.13404 | + | 11.6964i | −0.176025 | + | 0.656935i | 0.820349 | + | 0.571863i | \(0.193779\pi\) |
−0.996375 | + | 0.0850728i | \(0.972888\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 14.1356 | + | 8.16121i | 0.791444 | + | 0.456940i | ||||
\(320\) | −9.18129 | − | 14.1217i | −0.513250 | − | 0.789426i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.20427 | − | 1.22118i | −0.0671113 | − | 0.0680536i | ||||
\(323\) | −1.01226 | + | 1.01226i | −0.0563238 | + | 0.0563238i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 17.0092 | − | 6.54977i | 0.943501 | − | 0.363316i | ||||
\(326\) | 0.466661 | + | 0.269427i | 0.0258460 | + | 0.0149222i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.44328 | + | 3.44328i | 0.190123 | + | 0.190123i | ||||
\(329\) | −25.6796 | − | 15.0658i | −1.41576 | − | 0.830602i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.7503 | − | 18.6201i | −0.590892 | − | 1.02345i | −0.994113 | − | 0.108352i | \(-0.965443\pi\) |
0.403221 | − | 0.915103i | \(-0.367891\pi\) | |||||||
\(332\) | 8.45701 | − | 2.26605i | 0.464139 | − | 0.124366i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.11999 | − | 0.646625i | 0.0612830 | − | 0.0353817i | ||||
\(335\) | 11.9238 | + | 10.7249i | 0.651469 | + | 0.585964i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.10178 | + | 8.10178i | −0.441332 | + | 0.441332i | −0.892460 | − | 0.451127i | \(-0.851022\pi\) |
0.451127 | + | 0.892460i | \(0.351022\pi\) | |||||||
\(338\) | −0.0390387 | − | 0.0104604i | −0.00212343 | − | 0.000568970i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.17430 | + | 0.382236i | −0.0636852 | + | 0.0207296i | ||||
\(341\) | −10.6075 | + | 6.12424i | −0.574428 | + | 0.331646i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.3668 | + | 12.8191i | −0.721739 | + | 0.692165i | ||||
\(344\) | 4.65685 | 0.251081 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.54978 | − | 2.68430i | 0.0833169 | − | 0.144309i | ||||
\(347\) | −19.9545 | + | 5.34680i | −1.07121 | + | 0.287031i | −0.750992 | − | 0.660311i | \(-0.770424\pi\) |
−0.320222 | + | 0.947342i | \(0.603758\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 22.3959i | − | 1.19882i | −0.800441 | − | 0.599411i | \(-0.795401\pi\) | ||
0.800441 | − | 0.599411i | \(-0.204599\pi\) | |||||||
\(350\) | 1.50571 | − | 1.08041i | 0.0804837 | − | 0.0577501i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.97815 | − | 2.40569i | −0.478537 | − | 0.128224i | ||||
\(353\) | 8.75267 | + | 32.6654i | 0.465857 | + | 1.73860i | 0.654031 | + | 0.756468i | \(0.273077\pi\) |
−0.188173 | + | 0.982136i | \(0.560257\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.94946 | + | 15.3032i | 0.528063 | + | 0.812209i | ||||
\(356\) | 24.9192i | 1.32072i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.110883 | − | 0.110883i | −0.00586037 | − | 0.00586037i | ||||
\(359\) | −5.51983 | − | 9.56063i | −0.291326 | − | 0.504591i | 0.682798 | − | 0.730607i | \(-0.260763\pi\) |
−0.974123 | + | 0.226017i | \(0.927430\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.67525 | − | 6.36571i | 0.193434 | − | 0.335038i | ||||
\(362\) | −0.475116 | + | 1.77316i | −0.0249715 | + | 0.0931950i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 19.0996 | + | 0.133149i | 1.00109 | + | 0.00697889i | ||||
\(365\) | 12.2612 | − | 13.6318i | 0.641780 | − | 0.713523i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.998319 | − | 3.72578i | −0.0521118 | − | 0.194484i | 0.934963 | − | 0.354746i | \(-0.115433\pi\) |
−0.987074 | + | 0.160262i | \(0.948766\pi\) | |||||||
\(368\) | −4.64999 | − | 17.3540i | −0.242397 | − | 0.904639i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.126023 | − | 2.38068i | −0.00655160 | − | 0.123766i | ||||
\(371\) | −4.26884 | − | 0.0297593i | −0.221627 | − | 0.00154503i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.69962 | − | 10.0751i | 0.139781 | − | 0.521669i | −0.860151 | − | 0.510039i | \(-0.829631\pi\) |
0.999932 | − | 0.0116307i | \(-0.00370227\pi\) | |||||||
\(374\) | −0.109434 | + | 0.189545i | −0.00565868 | + | 0.00980112i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.13743 | + | 5.43418i | 0.161800 | + | 0.280246i | ||||
\(377\) | 7.51017 | + | 7.51017i | 0.386793 | + | 0.386793i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 19.1988i | − | 0.986177i | −0.869979 | − | 0.493089i | \(-0.835868\pi\) | ||
0.869979 | − | 0.493089i | \(-0.164132\pi\) | |||||||
\(380\) | 19.0577 | − | 12.3905i | 0.977637 | − | 0.635617i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.194720 | + | 0.726703i | 0.00996272 | + | 0.0371814i | ||||
\(383\) | 34.0476 | + | 9.12303i | 1.73975 | + | 0.466165i | 0.982392 | − | 0.186834i | \(-0.0598225\pi\) |
0.757359 | + | 0.652998i | \(0.226489\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.09961 | + | 32.3737i | −0.361830 | + | 1.64991i | ||||
\(386\) | 2.05924i | 0.104813i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −22.3193 | + | 5.98043i | −1.13309 | + | 0.303610i | ||||
\(389\) | −17.2123 | + | 29.8126i | −0.872700 | + | 1.51156i | −0.0135078 | + | 0.999909i | \(0.504300\pi\) |
−0.859192 | + | 0.511652i | \(0.829034\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.29046 | −0.0652611 | ||||||||
\(392\) | 3.78401 | − | 0.957584i | 0.191121 | − | 0.0483653i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.41928 | + | 0.819423i | −0.0715024 | + | 0.0412819i | ||||
\(395\) | 0.586539 | − | 1.15265i | 0.0295120 | − | 0.0579959i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.3522 | + | 3.57770i | 0.670127 | + | 0.179560i | 0.577812 | − | 0.816170i | \(-0.303907\pi\) |
0.0923147 | + | 0.995730i | \(0.470573\pi\) | |||||||
\(398\) | −2.10203 | + | 2.10203i | −0.105365 | + | 0.105365i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 19.3047 | − | 2.04955i | 0.965233 | − | 0.102477i | ||||
\(401\) | 10.4832 | − | 6.05249i | 0.523507 | − | 0.302247i | −0.214862 | − | 0.976645i | \(-0.568930\pi\) |
0.738368 | + | 0.674398i | \(0.235597\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.69850 | + | 2.06281i | −0.383490 | + | 0.102756i | ||||
\(404\) | −4.87385 | − | 8.44175i | −0.242483 | − | 0.419993i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.931438 | + | 0.546459i | 0.0462265 | + | 0.0271203i | ||||
\(407\) | 30.1479 | + | 30.1479i | 1.49438 | + | 1.49438i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 25.3797 | + | 14.6530i | 1.25495 | + | 0.724544i | 0.972088 | − | 0.234617i | \(-0.0753836\pi\) |
0.282860 | + | 0.959161i | \(0.408717\pi\) | |||||||
\(410\) | −2.60124 | + | 0.846707i | −0.128466 | + | 0.0418159i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 21.9678 | − | 21.9678i | 1.08228 | − | 1.08228i | ||||
\(413\) | 6.04537 | + | 6.13025i | 0.297473 | + | 0.301650i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.05028 | + | 9.67083i | −0.100644 | + | 0.474722i | ||||
\(416\) | −5.23786 | − | 3.02408i | −0.256807 | − | 0.148268i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.04270 | − | 3.89140i | 0.0509999 | − | 0.190334i | ||||
\(419\) | 4.45393 | 0.217589 | 0.108794 | − | 0.994064i | \(-0.465301\pi\) | ||||
0.108794 | + | 0.994064i | \(0.465301\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 27.1950 | 1.32540 | 0.662701 | − | 0.748884i | \(-0.269410\pi\) | ||||
0.662701 | + | 0.748884i | \(0.269410\pi\) | |||||||
\(422\) | 0.250256 | − | 0.933969i | 0.0121823 | − | 0.0454649i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.779175 | + | 0.449857i | 0.0378401 | + | 0.0218470i | ||||
\(425\) | 0.216681 | − | 1.37745i | 0.0105106 | − | 0.0668161i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.43239 | + | 1.41509i | −0.262892 | + | 0.0684810i | ||||
\(428\) | −26.6263 | + | 26.6263i | −1.28703 | + | 1.28703i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.18646 | + | 2.33158i | −0.0572160 | + | 0.112439i | ||||
\(431\) | −22.2647 | − | 12.8545i | −1.07245 | − | 0.619180i | −0.143601 | − | 0.989636i | \(-0.545868\pi\) |
−0.928850 | + | 0.370456i | \(0.879201\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 23.5411 | + | 23.5411i | 1.13131 | + | 1.13131i | 0.989959 | + | 0.141353i | \(0.0451452\pi\) |
0.141353 | + | 0.989959i | \(0.454855\pi\) | |||||||
\(434\) | −0.704608 | + | 0.400282i | −0.0338223 | + | 0.0192142i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.8656 | − | 18.8198i | −0.520367 | − | 0.901303i | ||||
\(437\) | 22.9439 | − | 6.14780i | 1.09756 | − | 0.294089i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8.62144 | − | 4.97759i | 0.411479 | − | 0.237567i | −0.279946 | − | 0.960016i | \(-0.590317\pi\) |
0.691425 | + | 0.722448i | \(0.256983\pi\) | |||||||
\(440\) | 4.67125 | − | 5.19344i | 0.222693 | − | 0.247588i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.100704 | + | 0.100704i | −0.00478999 | + | 0.00478999i | ||||
\(443\) | −28.6645 | − | 7.68062i | −1.36189 | − | 0.364918i | −0.497380 | − | 0.867533i | \(-0.665705\pi\) |
−0.864510 | + | 0.502615i | \(0.832371\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −25.0767 | − | 12.7606i | −1.18875 | − | 0.604909i | ||||
\(446\) | −0.232393 | + | 0.134172i | −0.0110041 | + | 0.00635322i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 19.2145 | + | 5.29234i | 0.907799 | + | 0.250040i | ||||
\(449\) | −26.4145 | −1.24658 | −0.623290 | − | 0.781991i | \(-0.714204\pi\) | ||||
−0.623290 | + | 0.781991i | \(0.714204\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 24.4614 | − | 42.3684i | 1.15184 | − | 1.99505i | ||||
\(452\) | −16.6873 | + | 4.47134i | −0.784903 | + | 0.210314i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.14075i | 0.0535381i | ||||||||
\(455\) | −9.91445 | + | 19.1521i | −0.464797 | + | 0.897862i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −33.4803 | − | 8.97102i | −1.56614 | − | 0.419646i | −0.631540 | − | 0.775343i | \(-0.717577\pi\) |
−0.934602 | + | 0.355696i | \(0.884244\pi\) | |||||||
\(458\) | 0.480331 | + | 1.79262i | 0.0224444 | + | 0.0837637i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 20.0454 | + | 4.24975i | 0.934621 | + | 0.198146i | ||||
\(461\) | 39.9716i | 1.86166i | 0.365449 | + | 0.930831i | \(0.380915\pi\) | ||||
−0.365449 | + | 0.930831i | \(0.619085\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.57833 | + | 6.57833i | 0.305721 | + | 0.305721i | 0.843247 | − | 0.537526i | \(-0.180641\pi\) |
−0.537526 | + | 0.843247i | \(0.680641\pi\) | |||||||
\(464\) | 5.65618 | + | 9.79679i | 0.262581 | + | 0.454804i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.570448 | − | 0.988045i | 0.0264255 | − | 0.0457703i | ||||
\(467\) | 3.63502 | − | 13.5661i | 0.168208 | − | 0.627763i | −0.829401 | − | 0.558654i | \(-0.811318\pi\) |
0.997609 | − | 0.0691084i | \(-0.0220154\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −18.9754 | − | 0.132283i | −0.876201 | − | 0.00610826i | ||||
\(470\) | −3.52011 | + | 0.186339i | −0.162371 | + | 0.00859518i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.469643 | − | 1.75273i | −0.0216171 | − | 0.0806759i | ||||
\(473\) | −12.1091 | − | 45.1919i | −0.556779 | − | 2.07793i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.70973 | + | 25.5229i | 0.124331 | + | 1.17107i | ||||
\(476\) | 0.739405 | − | 1.26031i | 0.0338906 | − | 0.0577664i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.304946 | + | 1.13807i | −0.0139479 | + | 0.0520543i | ||||
\(479\) | 13.6012 | − | 23.5580i | 0.621454 | − | 1.07639i | −0.367761 | − | 0.929920i | \(-0.619876\pi\) |
0.989215 | − | 0.146470i | \(-0.0467912\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 13.8715 | + | 24.0261i | 0.632484 | + | 1.09550i | ||||
\(482\) | 0.0243548 | + | 0.0243548i | 0.00110933 | + | 0.00110933i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 40.3690i | 1.83496i | ||||||||
\(485\) | 5.41098 | − | 25.5227i | 0.245700 | − | 1.15893i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.94920 | + | 14.7386i | 0.178955 | + | 0.667870i | 0.995844 | + | 0.0910748i | \(0.0290302\pi\) |
−0.816889 | + | 0.576795i | \(0.804303\pi\) | |||||||
\(488\) | 1.14281 | + | 0.306216i | 0.0517327 | + | 0.0138617i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.484635 | + | 2.13854i | −0.0218936 | + | 0.0966094i | ||||
\(491\) | 1.26640i | 0.0571518i | 0.999592 | + | 0.0285759i | \(0.00909723\pi\) | ||||
−0.999592 | + | 0.0285759i | \(0.990903\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.784846 | − | 0.210299i | 0.0353477 | − | 0.00947138i | ||||
\(494\) | 1.31073 | − | 2.27024i | 0.0589723 | − | 0.102143i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.48889 | −0.381162 | ||||||||
\(497\) | −20.8221 | − | 5.73513i | −0.933998 | − | 0.257256i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.5885 | + | 7.26798i | −0.563539 | + | 0.325359i | −0.754565 | − | 0.656226i | \(-0.772152\pi\) |
0.191026 | + | 0.981585i | \(0.438819\pi\) | |||||||
\(500\) | −7.90207 | + | 20.6831i | −0.353391 | + | 0.924979i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.0619899 | − | 0.0166101i | −0.00276674 | − | 0.000741347i | ||||
\(503\) | −16.6937 | + | 16.6937i | −0.744336 | + | 0.744336i | −0.973409 | − | 0.229073i | \(-0.926431\pi\) |
0.229073 | + | 0.973409i | \(0.426431\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.9909 | − | 0.581807i | 0.489087 | − | 0.0258901i | ||||
\(506\) | 3.14505 | − | 1.81579i | 0.139814 | − | 0.0807218i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 5.55485 | − | 1.48842i | 0.246456 | − | 0.0660378i | ||||
\(509\) | 12.4710 | + | 21.6005i | 0.552769 | + | 0.957424i | 0.998073 | + | 0.0620449i | \(0.0197622\pi\) |
−0.445304 | + | 0.895379i | \(0.646904\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.151232 | + | 21.6935i | −0.00669009 | + | 0.959662i | ||||
\(512\) | −7.61687 | − | 7.61687i | −0.336621 | − | 0.336621i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.03252 | − | 1.75083i | −0.133759 | − | 0.0772256i | ||||
\(515\) | 10.8574 | + | 33.3558i | 0.478432 | + | 1.46983i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 44.5772 | − | 44.5772i | 1.96050 | − | 1.96050i | ||||
\(518\) | 1.98066 | + | 2.00847i | 0.0870250 | + | 0.0882469i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.81065 | − | 2.47752i | 0.167108 | − | 0.108646i | ||||
\(521\) | 20.1930 | + | 11.6584i | 0.884670 | + | 0.510765i | 0.872195 | − | 0.489158i | \(-0.162696\pi\) |
0.0124748 | + | 0.999922i | \(0.496029\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.50283 | − | 28.0009i | 0.328076 | − | 1.22440i | −0.583108 | − | 0.812395i | \(-0.698164\pi\) |
0.911184 | − | 0.412001i | \(-0.135170\pi\) | |||||||
\(524\) | 19.4204 | 0.848382 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.43976 | −0.106378 | ||||||||
\(527\) | −0.157810 | + | 0.588955i | −0.00687431 | + | 0.0256553i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.37521 | − | 0.793979i | −0.0597918 | − | 0.0345208i | ||||
\(530\) | −0.423749 | + | 0.275503i | −0.0184065 | + | 0.0119671i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −7.14218 | + | 25.9306i | −0.309653 | + | 1.12423i | ||||
\(533\) | 22.5101 | − | 22.5101i | 0.975019 | − | 0.975019i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −13.1598 | − | 40.4292i | −0.568947 | − | 1.74791i | ||||
\(536\) | 3.46350 | + | 1.99965i | 0.149601 | + | 0.0863719i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.47537 | + | 1.47537i | 0.0636077 | + | 0.0636077i | ||||
\(539\) | −19.1323 | − | 34.2315i | −0.824085 | − | 1.47446i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.50038 | − | 2.59873i | −0.0645063 | − | 0.111728i | 0.831969 | − | 0.554823i | \(-0.187214\pi\) |
−0.896475 | + | 0.443095i | \(0.853881\pi\) | |||||||
\(542\) | 2.06959 | − | 0.554544i | 0.0888964 | − | 0.0238197i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.400709 | + | 0.231350i | −0.0171803 | + | 0.00991904i | ||||
\(545\) | 24.5027 | − | 1.29706i | 1.04958 | − | 0.0555600i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.21247 | + | 2.21247i | −0.0945983 | + | 0.0945983i | −0.752822 | − | 0.658224i | \(-0.771308\pi\) |
0.658224 | + | 0.752822i | \(0.271308\pi\) | |||||||
\(548\) | 3.31810 | + | 0.889081i | 0.141742 | + | 0.0379797i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.41012 | + | 3.66196i | 0.0601276 | + | 0.156146i | ||||
\(551\) | −12.9524 | + | 7.47810i | −0.551793 | + | 0.318578i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.385744 | + | 1.48083i | 0.0164035 | + | 0.0629715i | ||||
\(554\) | −1.44732 | −0.0614906 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.50505 | + | 4.33888i | −0.106238 | + | 0.184009i | ||||
\(557\) | 30.0424 | − | 8.04984i | 1.27294 | − | 0.341083i | 0.441782 | − | 0.897122i | \(-0.354346\pi\) |
0.831156 | + | 0.556039i | \(0.187680\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 30.4437i | − | 1.28763i | ||||||
\(560\) | −15.4796 | + | 16.9706i | −0.654133 | + | 0.717139i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.20263 | + | 0.858141i | 0.135095 | + | 0.0361985i | ||||
\(563\) | 9.64932 | + | 36.0117i | 0.406670 | + | 1.51771i | 0.800954 | + | 0.598726i | \(0.204326\pi\) |
−0.394284 | + | 0.918989i | \(0.629007\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.04559 | − | 19.0824i | 0.170199 | − | 0.802801i | ||||
\(566\) | − | 1.02115i | − | 0.0429222i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.21864 | + | 3.21864i | 0.135051 | + | 0.135051i | ||||
\(569\) | 8.69925 | + | 15.0675i | 0.364692 | + | 0.631664i | 0.988727 | − | 0.149732i | \(-0.0478411\pi\) |
−0.624035 | + | 0.781396i | \(0.714508\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −17.3894 | + | 30.1193i | −0.727723 | + | 1.26045i | 0.230120 | + | 0.973162i | \(0.426088\pi\) |
−0.957843 | + | 0.287292i | \(0.907245\pi\) | |||||||
\(572\) | −10.4674 | + | 39.0649i | −0.437665 | + | 1.63339i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.63789 | − | 2.79178i | 0.0683641 | − | 0.116527i | ||||
\(575\) | −14.5414 | + | 17.9958i | −0.606418 | + | 0.750477i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.20825 | + | 23.1695i | 0.258453 | + | 0.964560i | 0.966137 | + | 0.258030i | \(0.0830735\pi\) |
−0.707684 | + | 0.706529i | \(0.750260\pi\) | |||||||
\(578\) | −0.613569 | − | 2.28987i | −0.0255211 | − | 0.0952460i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −12.8840 | + | 0.682022i | −0.534980 | + | 0.0283194i | ||||
\(581\) | −5.77775 | − | 10.1704i | −0.239701 | − | 0.421941i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.33951 | − | 8.73117i | 0.0968926 | − | 0.361608i | ||||
\(584\) | 2.28609 | − | 3.95963i | 0.0945992 | − | 0.163851i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.992026 | + | 1.71824i | 0.0409802 | + | 0.0709798i | ||||
\(587\) | −15.2114 | − | 15.2114i | −0.627840 | − | 0.627840i | 0.319684 | − | 0.947524i | \(-0.396423\pi\) |
−0.947524 | + | 0.319684i | \(0.896423\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 11.2233i | − | 0.462446i | ||||||
\(590\) | 0.997207 | + | 0.211414i | 0.0410544 | + | 0.00870379i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.64781 | + | 28.5420i | 0.314323 | + | 1.17307i | ||||
\(593\) | −19.7756 | − | 5.29885i | −0.812085 | − | 0.217598i | −0.171202 | − | 0.985236i | \(-0.554765\pi\) |
−0.640883 | + | 0.767638i | \(0.721432\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.889643 | + | 1.38945i | 0.0364718 | + | 0.0569621i | ||||
\(596\) | 0.971879i | 0.0398097i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.28255 | − | 0.611607i | 0.0933404 | − | 0.0250105i | ||||
\(599\) | 2.45403 | − | 4.25050i | 0.100269 | − | 0.173671i | −0.811527 | − | 0.584315i | \(-0.801363\pi\) |
0.911795 | + | 0.410645i | \(0.134696\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.2782 | −0.419258 | −0.209629 | − | 0.977781i | \(-0.567226\pi\) | ||||
−0.209629 | + | 0.977781i | \(0.567226\pi\) | |||||||
\(602\) | −0.780287 | − | 2.99544i | −0.0318021 | − | 0.122085i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.68251 | − | 4.43550i | 0.312597 | − | 0.180478i | ||||
\(605\) | −40.6240 | − | 20.6721i | −1.65160 | − | 0.840439i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −26.0408 | − | 6.97762i | −1.05696 | − | 0.283213i | −0.311838 | − | 0.950135i | \(-0.600945\pi\) |
−0.745127 | + | 0.666922i | \(0.767611\pi\) | |||||||
\(608\) | 6.02233 | − | 6.02233i | 0.244238 | − | 0.244238i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.444477 | + | 0.494165i | −0.0179964 | + | 0.0200081i | ||||
\(611\) | 35.5254 | − | 20.5106i | 1.43720 | − | 0.829769i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.58910 | + | 2.56939i | −0.387300 | + | 0.103777i | −0.447215 | − | 0.894427i | \(-0.647584\pi\) |
0.0599142 | + | 0.998204i | \(0.480917\pi\) | |||||||
\(614\) | −0.488658 | − | 0.846381i | −0.0197206 | − | 0.0341572i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.0576160 | + | 8.26475i | −0.00232142 | + | 0.332996i | ||||
\(617\) | −13.2957 | − | 13.2957i | −0.535264 | − | 0.535264i | 0.386870 | − | 0.922134i | \(-0.373556\pi\) |
−0.922134 | + | 0.386870i | \(0.873556\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.14004 | + | 0.658202i | 0.0458220 | + | 0.0264554i | 0.522736 | − | 0.852495i | \(-0.324911\pi\) |
−0.476914 | + | 0.878950i | \(0.658245\pi\) | |||||||
\(620\) | 4.39091 | − | 8.62887i | 0.176343 | − | 0.346544i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.76808 | − | 2.76808i | 0.110990 | − | 0.110990i | ||||
\(623\) | 32.2166 | − | 8.39215i | 1.29073 | − | 0.336225i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −16.7673 | − | 18.5434i | −0.670694 | − | 0.741735i | ||||
\(626\) | −1.74699 | − | 1.00863i | −0.0698240 | − | 0.0403129i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.57003 | + | 9.59147i | −0.102555 | + | 0.382741i | ||||
\(629\) | 2.12241 | 0.0846258 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.81277 | 0.271212 | 0.135606 | − | 0.990763i | \(-0.456702\pi\) | ||||
0.135606 | + | 0.990763i | \(0.456702\pi\) | |||||||
\(632\) | 0.0834725 | − | 0.311523i | 0.00332036 | − | 0.0123917i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.46909 | − | 0.848180i | −0.0583450 | − | 0.0336855i | ||||
\(635\) | −1.34669 | + | 6.35212i | −0.0534418 | + | 0.252076i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.26010 | − | 24.7376i | −0.248034 | − | 0.980138i | ||||
\(638\) | −1.61688 | + | 1.61688i | −0.0640131 | + | 0.0640131i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 9.29937 | − | 3.02696i | 0.367590 | − | 0.119651i | ||||
\(641\) | 10.6830 | + | 6.16781i | 0.421951 | + | 0.243614i | 0.695912 | − | 0.718127i | \(-0.255000\pi\) |
−0.273960 | + | 0.961741i | \(0.588334\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.219128 | + | 0.219128i | 0.00864157 | + | 0.00864157i | 0.711414 | − | 0.702773i | \(-0.248055\pi\) |
−0.702773 | + | 0.711414i | \(0.748055\pi\) | |||||||
\(644\) | −21.0809 | + | 11.9759i | −0.830705 | + | 0.471917i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.100274 | − | 0.173679i | −0.00394522 | − | 0.00683332i | ||||
\(647\) | 2.66988 | − | 0.715393i | 0.104964 | − | 0.0281250i | −0.205955 | − | 0.978562i | \(-0.566030\pi\) |
0.310919 | + | 0.950437i | \(0.399363\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −15.7880 | + | 9.11519i | −0.619732 | + | 0.357803i | ||||
\(650\) | 0.269575 | + | 2.53912i | 0.0105736 | + | 0.0995925i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.38634 | − | 5.38634i | 0.210946 | − | 0.210946i | ||||
\(653\) | −23.7403 | − | 6.36119i | −0.929030 | − | 0.248933i | −0.237589 | − | 0.971366i | \(-0.576357\pi\) |
−0.691441 | + | 0.722433i | \(0.743024\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.94473 | + | 19.5430i | −0.388573 | + | 0.763610i | ||||
\(656\) | 29.3637 | − | 16.9531i | 1.14646 | − | 0.661909i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.96975 | − | 2.92863i | 0.115773 | − | 0.114170i | ||||
\(659\) | 47.4163 | 1.84708 | 0.923538 | − | 0.383506i | \(-0.125284\pi\) | ||||
0.923538 | + | 0.383506i | \(0.125284\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.31689 | + | 16.1373i | −0.362385 | + | 0.627669i | −0.988353 | − | 0.152180i | \(-0.951371\pi\) |
0.625968 | + | 0.779849i | \(0.284704\pi\) | |||||||
\(662\) | 2.90941 | − | 0.779575i | 0.113078 | − | 0.0302990i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.46524i | 0.0956699i | ||||||||
\(665\) | −22.4370 | − | 20.4658i | −0.870070 | − | 0.793628i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −13.0227 | − | 3.48941i | −0.504239 | − | 0.135111i | ||||
\(668\) | −4.73169 | − | 17.6589i | −0.183075 | − | 0.683244i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.88360 | + | 1.22463i | −0.0727699 | + | 0.0473118i | ||||
\(671\) | − | 11.8866i | − | 0.458875i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −23.8659 | − | 23.8659i | −0.919962 | − | 0.919962i | 0.0770643 | − | 0.997026i | \(-0.475445\pi\) |
−0.997026 | + | 0.0770643i | \(0.975445\pi\) | |||||||
\(674\) | −0.802555 | − | 1.39007i | −0.0309133 | − | 0.0535434i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.285667 | + | 0.494789i | −0.0109872 | + | 0.0190303i | ||||
\(677\) | −0.589674 | + | 2.20069i | −0.0226630 | + | 0.0845796i | −0.976331 | − | 0.216281i | \(-0.930607\pi\) |
0.953668 | + | 0.300861i | \(0.0972739\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 15.2483 | + | 26.8412i | 0.585176 | + | 1.03007i | ||||
\(680\) | −0.0183811 | − | 0.347236i | −0.000704883 | − | 0.0133159i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.444107 | − | 1.65743i | −0.0170057 | − | 0.0634663i | ||||
\(683\) | −7.57756 | − | 28.2798i | −0.289947 | − | 1.08210i | −0.945148 | − | 0.326643i | \(-0.894083\pi\) |
0.655201 | − | 0.755455i | \(-0.272584\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.59382 | + | 2.88378i | −0.0991048 | + | 0.110184i | ||||
\(686\) | −1.24999 | − | 2.27355i | −0.0477247 | − | 0.0868047i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 8.39231 | − | 31.3205i | 0.319954 | − | 1.19408i | ||||
\(689\) | 2.94089 | − | 5.09377i | 0.112039 | − | 0.194057i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.90637 | − | 13.6942i | −0.300773 | − | 0.520953i | 0.675539 | − | 0.737325i | \(-0.263911\pi\) |
−0.976311 | + | 0.216371i | \(0.930578\pi\) | |||||||
\(692\) | −30.9830 | − | 30.9830i | −1.17780 | − | 1.17780i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 2.89405i | − | 0.109857i | ||||||
\(695\) | −3.08351 | − | 4.74272i | −0.116964 | − | 0.179902i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.630324 | − | 2.35240i | −0.0238752 | − | 0.0891035i | ||||
\(698\) | 3.03055 | + | 0.812032i | 0.114708 | + | 0.0307359i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −9.24356 | − | 24.5130i | −0.349374 | − | 0.926504i | ||||
\(701\) | − | 12.7450i | − | 0.481372i | −0.970603 | − | 0.240686i | \(-0.922628\pi\) | ||
0.970603 | − | 0.240686i | \(-0.0773723\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −37.7357 | + | 10.1113i | −1.42323 | + | 0.381353i | ||||
\(704\) | −21.1002 | + | 36.5466i | −0.795243 | + | 1.37740i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.73755 | −0.178300 | ||||||||
\(707\) | −9.27246 | + | 9.14408i | −0.348727 | + | 0.343898i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −33.8769 | + | 19.5589i | −1.27228 | + | 0.734549i | −0.975416 | − | 0.220373i | \(-0.929273\pi\) |
−0.296860 | + | 0.954921i | \(0.595939\pi\) | |||||||
\(710\) | −2.43153 | + | 0.791468i | −0.0912539 | + | 0.0297033i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −6.77742 | − | 1.81601i | −0.253995 | − | 0.0680577i | ||||
\(713\) | 7.15383 | − | 7.15383i | 0.267913 | − | 0.267913i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −33.9516 | − | 30.5378i | −1.26972 | − | 1.14205i | ||||
\(716\) | −1.91978 | + | 1.10838i | −0.0717454 | + | 0.0414222i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.49386 | − | 0.400278i | 0.0557503 | − | 0.0149382i | ||||
\(719\) | 3.29942 | + | 5.71477i | 0.123048 | + | 0.213125i | 0.920968 | − | 0.389638i | \(-0.127400\pi\) |
−0.797920 | + | 0.602763i | \(0.794067\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −35.7991 | − | 21.0027i | −1.33323 | − | 0.782181i | ||||
\(722\) | 0.728133 | + | 0.728133i | 0.0270983 | + | 0.0270983i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 22.4735 | + | 12.9751i | 0.835223 | + | 0.482216i | ||||
\(725\) | 5.91129 | − | 13.3147i | 0.219540 | − | 0.494494i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.51144 | − | 6.51144i | 0.241496 | − | 0.241496i | −0.575973 | − | 0.817469i | \(-0.695377\pi\) |
0.817469 | + | 0.575973i | \(0.195377\pi\) | |||||||
\(728\) | −1.42811 | + | 5.18491i | −0.0529292 | + | 0.192166i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.40006 | + | 2.15341i | 0.0518184 | + | 0.0797015i | ||||
\(731\) | −2.01699 | − | 1.16451i | −0.0746010 | − | 0.0430709i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.60963 | − | 9.73928i | 0.0963890 | − | 0.359728i | −0.900837 | − | 0.434157i | \(-0.857046\pi\) |
0.997226 | + | 0.0744281i | \(0.0237131\pi\) | |||||||
\(734\) | 0.540359 | 0.0199450 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.67740 | 0.282993 | ||||||||
\(737\) | 10.3993 | − | 38.8109i | 0.383065 | − | 1.42962i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.1510 | − | 6.43804i | −0.410196 | − | 0.236827i | 0.280678 | − | 0.959802i | \(-0.409441\pi\) |
−0.690874 | + | 0.722975i | \(0.742774\pi\) | |||||||
\(740\) | −32.9685 | − | 6.98955i | −1.21195 | − | 0.256941i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.158807 | − | 0.576568i | 0.00582999 | − | 0.0211665i | ||||
\(743\) | −8.34588 | + | 8.34588i | −0.306181 | + | 0.306181i | −0.843426 | − | 0.537245i | \(-0.819465\pi\) |
0.537245 | + | 0.843426i | \(0.319465\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.978018 | − | 0.497677i | −0.0358318 | − | 0.0182335i | ||||
\(746\) | 1.26545 | + | 0.730610i | 0.0463315 | + | 0.0267495i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.18778 | + | 2.18778i | 0.0799932 | + | 0.0799932i | ||||
\(749\) | 43.3907 | + | 25.4566i | 1.58546 | + | 0.930162i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 21.5986 | + | 37.4098i | 0.788143 | + | 1.36510i | 0.927104 | + | 0.374805i | \(0.122290\pi\) |
−0.138961 | + | 0.990298i | \(0.544376\pi\) | |||||||
\(752\) | 42.2027 | − | 11.3082i | 1.53897 | − | 0.412367i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.28856 | + | 0.743951i | −0.0469266 | + | 0.0270931i | ||||
\(755\) | 0.529480 | + | 10.0024i | 0.0192698 | + | 0.364023i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −19.7726 | + | 19.7726i | −0.718648 | + | 0.718648i | −0.968328 | − | 0.249680i | \(-0.919674\pi\) |
0.249680 | + | 0.968328i | \(0.419674\pi\) | |||||||
\(758\) | 2.59793 | + | 0.696114i | 0.0943611 | + | 0.0252840i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.98106 | + | 6.08618i | 0.0718606 | + | 0.220769i | ||||
\(761\) | 39.3328 | − | 22.7088i | 1.42581 | − | 0.823193i | 0.429025 | − | 0.903293i | \(-0.358857\pi\) |
0.996787 | + | 0.0801000i | \(0.0255240\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −20.6717 | + | 20.3855i | −0.748366 | + | 0.738004i | ||||
\(764\) | 10.6353 | 0.384773 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.46901 | + | 4.27644i | −0.0892088 | + | 0.154514i | ||||
\(767\) | −11.4583 | + | 3.07024i | −0.413735 | + | 0.110860i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 23.0900i | 0.832646i | 0.909217 | + | 0.416323i | \(0.136681\pi\) | ||||
−0.909217 | + | 0.416323i | \(0.863319\pi\) | |||||||
\(770\) | −4.12330 | − | 2.13451i | −0.148593 | − | 0.0769224i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 28.1183 | + | 7.53427i | 1.01200 | + | 0.271164i | ||||
\(773\) | 5.43421 | + | 20.2807i | 0.195455 | + | 0.729448i | 0.992149 | + | 0.125064i | \(0.0399138\pi\) |
−0.796694 | + | 0.604383i | \(0.793420\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.43490 | + | 8.83730i | 0.231148 | + | 0.317445i | ||||
\(776\) | − | 6.50612i | − | 0.233556i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.41008 | − | 3.41008i | −0.122257 | − | 0.122257i | ||||
\(779\) | 22.4139 | + | 38.8221i | 0.803062 | + | 1.39094i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 22.8656 | − | 39.6043i | 0.818194 | − | 1.41715i | ||||
\(782\) | 0.0467895 | − | 0.174621i | 0.00167319 | − | 0.00624443i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.378919 | − | 27.1758i | 0.0135328 | − | 0.970564i | ||||
\(785\) | −8.33601 | − | 7.49784i | −0.297525 | − | 0.267609i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.39502 | + | 8.93832i | 0.0853731 | + | 0.318617i | 0.995385 | − | 0.0959663i | \(-0.0305941\pi\) |
−0.910011 | + | 0.414583i | \(0.863927\pi\) | |||||||
\(788\) | 5.99614 | + | 22.3779i | 0.213604 | + | 0.797180i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.134706 | + | 0.121162i | 0.00479263 | + | 0.00431074i | ||||
\(791\) | 11.4006 | + | 20.0682i | 0.405358 | + | 0.713542i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.00185 | − | 7.47102i | 0.0710879 | − | 0.265304i | ||||
\(794\) | −0.968250 | + | 1.67706i | −0.0343619 | + | 0.0595166i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 21.0118 | + | 36.3935i | 0.744743 | + | 1.28993i | ||||
\(797\) | −5.16770 | − | 5.16770i | −0.183049 | − | 0.183049i | 0.609634 | − | 0.792683i | \(-0.291316\pi\) |
−0.792683 | + | 0.609634i | \(0.791316\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 3.13822i | − | 0.111022i | ||||||
\(800\) | −1.28911 | + | 8.19497i | −0.0455771 | + | 0.289736i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.438904 | + | 1.63801i | 0.0154982 | + | 0.0578402i | ||||
\(803\) | −44.3703 | − | 11.8890i | −1.56579 | − | 0.419553i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.25651 | − | 27.3467i | −0.0442860 | − | 0.963845i | ||||
\(806\) | − | 1.11653i | − | 0.0393282i | ||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.65113 | − | 0.710369i | 0.0932666 | − | 0.0249907i | ||||
\(809\) | −6.23501 | + | 10.7994i | −0.219211 | + | 0.379685i | −0.954567 | − | 0.297996i | \(-0.903682\pi\) |
0.735356 | + | 0.677681i | \(0.237015\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 21.2698 | 0.746883 | 0.373442 | − | 0.927654i | \(-0.378178\pi\) | ||||
0.373442 | + | 0.927654i | \(0.378178\pi\) | |||||||
\(812\) | 10.8696 | − | 10.7191i | 0.381449 | − | 0.376168i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −5.17264 | + | 2.98643i | −0.181301 | + | 0.104674i | ||||
\(815\) | 2.66215 | + | 8.17860i | 0.0932509 | + | 0.286484i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 41.4092 | + | 11.0956i | 1.44873 | + | 0.388185i | ||||
\(818\) | −2.90303 | + | 2.90303i | −0.101502 | + | 0.101502i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.04421 | + | 38.6170i | 0.0713869 | + | 1.34856i | ||||
\(821\) | −17.0359 | + | 9.83568i | −0.594557 | + | 0.343268i | −0.766897 | − | 0.641770i | \(-0.778200\pi\) |
0.172340 | + | 0.985037i | \(0.444867\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 51.7281 | − | 13.8605i | 1.80313 | − | 0.483146i | 0.808667 | − | 0.588266i | \(-0.200189\pi\) |
0.994460 | + | 0.105120i | \(0.0335226\pi\) | |||||||
\(824\) | 4.37378 | + | 7.57562i | 0.152368 | + | 0.263909i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.04872 | + | 0.595772i | −0.0364898 | + | 0.0207296i | ||||
\(827\) | 19.0500 | + | 19.0500i | 0.662432 | + | 0.662432i | 0.955953 | − | 0.293521i | \(-0.0948270\pi\) |
−0.293521 | + | 0.955953i | \(0.594827\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −35.0623 | − | 20.2433i | −1.21777 | − | 0.703077i | −0.253326 | − | 0.967381i | \(-0.581525\pi\) |
−0.964440 | + | 0.264304i | \(0.914858\pi\) | |||||||
\(830\) | −1.23429 | − | 0.628085i | −0.0428429 | − | 0.0218011i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −19.4170 | + | 19.4170i | −0.673162 | + | 0.673162i | ||||
\(833\) | −1.87840 | − | 0.531492i | −0.0650827 | − | 0.0184151i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 20.1935 | + | 4.28115i | 0.698824 | + | 0.148155i | ||||
\(836\) | −49.3208 | − | 28.4754i | −1.70580 | − | 0.984842i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.161491 | + | 0.602694i | −0.00557862 | + | 0.0208197i | ||||
\(839\) | −27.5643 | −0.951626 | −0.475813 | − | 0.879546i | \(-0.657846\pi\) | ||||
−0.475813 | + | 0.879546i | \(0.657846\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.5111 | −0.707278 | ||||||||
\(842\) | −0.986040 | + | 3.67995i | −0.0339812 | + | 0.126819i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −11.8374 | − | 6.83434i | −0.407461 | − | 0.235248i | ||||
\(845\) | −0.351631 | − | 0.540842i | −0.0120965 | − | 0.0186055i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 52.1908 | − | 13.5952i | 1.79330 | − | 0.467138i | ||||
\(848\) | 4.42978 | − | 4.42978i | 0.152119 | − | 0.152119i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.178536 | + | 0.0792644i | 0.00612375 | + | 0.00271875i | ||||
\(851\) | −30.4982 | − | 17.6081i | −1.04546 | − | 0.603599i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −20.4305 | − | 20.4305i | −0.699527 | − | 0.699527i | 0.264781 | − | 0.964308i | \(-0.414700\pi\) |
−0.964308 | + | 0.264781i | \(0.914700\pi\) | |||||||
\(854\) | 0.00548226 | − | 0.786404i | 0.000187599 | − | 0.0269102i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.30130 | − | 9.18211i | −0.181195 | − | 0.313838i | ||||
\(857\) | 3.23941 | − | 0.867998i | 0.110656 | − | 0.0296503i | −0.203066 | − | 0.979165i | \(-0.565091\pi\) |
0.313722 | + | 0.949515i | \(0.398424\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −32.2014 | + | 18.5915i | −1.09870 | + | 0.634332i | −0.935878 | − | 0.352324i | \(-0.885392\pi\) |
−0.162818 | + | 0.986656i | \(0.552058\pi\) | |||||||
\(860\) | 27.4961 | + | 24.7314i | 0.937608 | + | 0.843333i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.54671 | − | 2.54671i | 0.0867413 | − | 0.0867413i | ||||
\(863\) | −37.1527 | − | 9.95503i | −1.26469 | − | 0.338873i | −0.436697 | − | 0.899609i | \(-0.643852\pi\) |
−0.827995 | + | 0.560735i | \(0.810518\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 47.0445 | − | 15.3131i | 1.59956 | − | 0.520659i | ||||
\(866\) | −4.03907 | + | 2.33196i | −0.137253 | + | 0.0792432i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.88774 | + | 11.0857i | 0.0980162 | + | 0.376274i | ||||
\(869\) | −3.24020 | −0.109916 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 13.0725 | − | 22.6423i | 0.442946 | − | 0.767205i | ||||
\(872\) | 5.91035 | − | 1.58367i | 0.200150 | − | 0.0536299i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.32761i | 0.112558i | ||||||||
\(875\) | 29.4013 | + | 3.25058i | 0.993944 | + | 0.109890i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 23.5987 | + | 6.32325i | 0.796871 | + | 0.213521i | 0.634210 | − | 0.773161i | \(-0.281326\pi\) |
0.162661 | + | 0.986682i | \(0.447992\pi\) | |||||||
\(878\) | 0.360956 | + | 1.34711i | 0.0121817 | + | 0.0454627i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −26.5112 | − | 40.7767i | −0.893693 | − | 1.37458i | ||||
\(881\) | 13.5509i | 0.456542i | 0.973598 | + | 0.228271i | \(0.0733073\pi\) | ||||
−0.973598 | + | 0.228271i | \(0.926693\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 32.5237 | + | 32.5237i | 1.09451 | + | 1.09451i | 0.995041 | + | 0.0994691i | \(0.0317144\pi\) |
0.0994691 | + | 0.995041i | \(0.468286\pi\) | |||||||
\(884\) | 1.00663 | + | 1.74353i | 0.0338566 | + | 0.0586413i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.07864 | − | 3.60031i | 0.0698334 | − | 0.120955i | ||||
\(887\) | 9.75876 | − | 36.4202i | 0.327667 | − | 1.22287i | −0.583937 | − | 0.811799i | \(-0.698488\pi\) |
0.911604 | − | 0.411070i | \(-0.134845\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.79502 | − | 6.68028i | −0.127281 | − | 0.224049i | ||||
\(890\) | 2.63596 | − | 2.93063i | 0.0883576 | − | 0.0982350i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0.981806 | + | 3.66415i | 0.0328733 | + | 0.122685i | ||||
\(893\) | 14.9507 | + | 55.7967i | 0.500305 | + | 1.86716i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.132311 | − | 2.49948i | −0.00442268 | − | 0.0835484i | ||||
\(896\) | −5.85542 | + | 9.98055i | −0.195616 | + | 0.333427i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.957742 | − | 3.57434i | 0.0319603 | − | 0.119277i | ||||
\(899\) | −3.18509 | + | 5.51673i | −0.106229 | + | 0.183993i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.224986 | − | 0.389687i | −0.00749536 | − | 0.0129823i | ||||
\(902\) | 4.84625 | + | 4.84625i | 0.161363 | + | 0.161363i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 4.86438i | − | 0.161787i | ||||||
\(905\) | −24.5653 | + | 15.9713i | −0.816577 | + | 0.530903i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.37941 | − | 5.14802i | −0.0458025 | − | 0.170937i | 0.939236 | − | 0.343272i | \(-0.111535\pi\) |
−0.985038 | + | 0.172335i | \(0.944869\pi\) | |||||||
\(908\) | 15.5766 | + | 4.17374i | 0.516928 | + | 0.138510i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.23212 | − | 2.03601i | −0.0739942 | − | 0.0674932i | ||||
\(911\) | − | 14.3597i | − | 0.475757i | −0.971295 | − | 0.237879i | \(-0.923548\pi\) | ||
0.971295 | − | 0.237879i | \(-0.0764520\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 23.9237 | − | 6.41032i | 0.791757 | − | 0.212151i | ||||
\(914\) | 2.42787 | − | 4.20519i | 0.0803067 | − | 0.139095i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 26.2351 | 0.866832 | ||||||||
\(917\) | −6.54027 | − | 25.1075i | −0.215979 | − | 0.829121i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.41391 | − | 1.39367i | 0.0796276 | − | 0.0459730i | −0.459658 | − | 0.888096i | \(-0.652028\pi\) |
0.539285 | + | 0.842123i | \(0.318695\pi\) | |||||||
\(920\) | −2.61665 | + | 5.14215i | −0.0862683 | + | 0.169532i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −5.40885 | − | 1.44930i | −0.178131 | − | 0.0477300i | ||||
\(923\) | 21.0415 | − | 21.0415i | 0.692590 | − | 0.692590i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 23.9161 | − | 29.5976i | 0.786358 | − | 0.973164i | ||||
\(926\) | −1.12868 | + | 0.651644i | −0.0370907 | + | 0.0214143i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.66934 | + | 1.25115i | −0.153279 | + | 0.0410709i | ||||
\(929\) | 3.46522 | + | 6.00194i | 0.113690 | + | 0.196917i | 0.917255 | − | 0.398299i | \(-0.130400\pi\) |
−0.803565 | + | 0.595217i | \(0.797066\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 35.9294 | + | 0.500974i | 1.17754 | + | 0.0164187i | ||||
\(932\) | −11.4043 | − | 11.4043i | −0.373560 | − | 0.373560i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.70392 | + | 0.983761i | 0.0557541 | + | 0.0321896i | ||||
\(935\) | −3.32192 | + | 1.08129i | −0.108638 | + | 0.0353619i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −34.0816 | + | 34.0816i | −1.11340 | + | 1.11340i | −0.120710 | + | 0.992688i | \(0.538517\pi\) |
−0.992688 | + | 0.120710i | \(0.961483\pi\) | |||||||
\(938\) | 0.705912 | − | 2.56290i | 0.0230488 | − | 0.0836816i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −10.3349 | + | 48.7478i | −0.337086 | + | 1.58998i | ||||
\(941\) | 34.7876 | + | 20.0846i | 1.13404 | + | 0.654741i | 0.944949 | − | 0.327218i | \(-0.106111\pi\) |
0.189095 | + | 0.981959i | \(0.439445\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −10.4587 | + | 39.0325i | −0.340583 | + | 1.27107i | ||||
\(944\) | −12.6347 | −0.411224 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.55430 | 0.213099 | ||||||||
\(947\) | −1.85264 | + | 6.91415i | −0.0602027 | + | 0.224680i | −0.989472 | − | 0.144723i | \(-0.953771\pi\) |
0.929270 | + | 0.369402i | \(0.120438\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −25.8856 | − | 14.9451i | −0.840284 | − | 0.485138i | ||||
\(950\) | −3.55194 | − | 0.558741i | −0.115240 | − | 0.0181279i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.288890 | + | 0.292946i | 0.00936298 | + | 0.00949444i | ||||
\(953\) | −22.1319 | + | 22.1319i | −0.716922 | + | 0.716922i | −0.967974 | − | 0.251052i | \(-0.919224\pi\) |
0.251052 | + | 0.967974i | \(0.419224\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5.44612 | + | 10.7025i | −0.176232 | + | 0.346326i | ||||
\(956\) | 14.4243 | + | 8.32788i | 0.466516 | + | 0.269343i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2.69464 | + | 2.69464i | 0.0870600 | + | 0.0870600i | ||||
\(959\) | 0.0319926 | − | 4.58919i | 0.00103310 | − | 0.148193i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.1099 | + | 22.7070i | 0.422899 | + | 0.732483i | ||||
\(962\) | −3.75410 | + | 1.00591i | −0.121037 | + | 0.0324318i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.421666 | − | 0.243449i | 0.0135809 | − | 0.00784096i | ||||
\(965\) | −21.9806 | + | 24.4378i | −0.707581 | + | 0.786680i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 29.9553 | − | 29.9553i | 0.963297 | − | 0.963297i | −0.0360528 | − | 0.999350i | \(-0.511478\pi\) |
0.999350 | + | 0.0360528i | \(0.0114785\pi\) | |||||||
\(968\) | −10.9794 | − | 2.94192i | −0.352891 | − | 0.0945568i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 3.25747 | + | 1.65761i | 0.104591 | + | 0.0532225i | ||||
\(971\) | −25.0340 | + | 14.4534i | −0.803378 | + | 0.463830i | −0.844651 | − | 0.535317i | \(-0.820192\pi\) |
0.0412730 | + | 0.999148i | \(0.486859\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.45312 | + | 1.77741i | 0.206877 | + | 0.0569813i | ||||
\(974\) | −2.13758 | −0.0684924 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.11902 | − | 7.13436i | 0.131847 | − | 0.228365i | ||||
\(977\) | 51.9291 | − | 13.9144i | 1.66136 | − | 0.445160i | 0.698598 | − | 0.715515i | \(-0.253808\pi\) |
0.962761 | + | 0.270355i | \(0.0871411\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 70.4929i | 2.25296i | ||||||||
\(980\) | 27.4279 | + | 14.4420i | 0.876153 | + | 0.461331i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.171366 | − | 0.0459173i | −0.00546850 | − | 0.00146528i | ||||
\(983\) | −5.61039 | − | 20.9382i | −0.178944 | − | 0.667826i | −0.995846 | − | 0.0910508i | \(-0.970977\pi\) |
0.816903 | − | 0.576775i | \(-0.195689\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −25.5898 | − | 5.42520i | −0.815358 | − | 0.172861i | ||||
\(986\) | 0.113828i | 0.00362503i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −26.2038 | − | 26.2038i | −0.833655 | − | 0.833655i | ||||
\(989\) | 19.3223 | + | 33.4672i | 0.614412 | + | 1.06419i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.37279 | + | 12.7700i | −0.234204 | + | 0.405654i | −0.959041 | − | 0.283267i | \(-0.908582\pi\) |
0.724837 | + | 0.688921i | \(0.241915\pi\) | |||||||
\(992\) | 0.938871 | − | 3.50391i | 0.0298092 | − | 0.111249i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.53103 | − | 2.60964i | 0.0485614 | − | 0.0827728i | ||||
\(995\) | −47.3830 | + | 2.50825i | −1.50214 | + | 0.0795167i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.97247 | + | 14.8255i | 0.125809 | + | 0.469527i | 0.999867 | − | 0.0162947i | \(-0.00518699\pi\) |
−0.874058 | + | 0.485822i | \(0.838520\pi\) | |||||||
\(998\) | −0.527047 | − | 1.96697i | −0.0166834 | − | 0.0622632i | ||||
\(999\) | 0 | 0 |
(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 | 315.2.ce.a.53.8 | ✓ | 64 | |
3.2 | odd | 2 | inner | 315.2.ce.a.53.9 | yes | 64 | |
5.2 | odd | 4 | inner | 315.2.ce.a.242.8 | yes | 64 | |
7.2 | even | 3 | inner | 315.2.ce.a.233.9 | yes | 64 | |
15.2 | even | 4 | inner | 315.2.ce.a.242.9 | yes | 64 | |
21.2 | odd | 6 | inner | 315.2.ce.a.233.8 | yes | 64 | |
35.2 | odd | 12 | inner | 315.2.ce.a.107.9 | yes | 64 | |
105.2 | even | 12 | inner | 315.2.ce.a.107.8 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.ce.a.53.8 | ✓ | 64 | 1.1 | even | 1 | trivial | |
315.2.ce.a.53.9 | yes | 64 | 3.2 | odd | 2 | inner | |
315.2.ce.a.107.8 | yes | 64 | 105.2 | even | 12 | inner | |
315.2.ce.a.107.9 | yes | 64 | 35.2 | odd | 12 | inner | |
315.2.ce.a.233.8 | yes | 64 | 21.2 | odd | 6 | inner | |
315.2.ce.a.233.9 | yes | 64 | 7.2 | even | 3 | inner | |
315.2.ce.a.242.8 | yes | 64 | 5.2 | odd | 4 | inner | |
315.2.ce.a.242.9 | yes | 64 | 15.2 | even | 4 | inner |