Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(8,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.r (of order \(36\), degree \(12\), not 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: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 8.13 | ||
Character | \(\chi\) | \(=\) | 405.8 |
Dual form | 405.2.r.a.152.13 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.42277 | − | 0.996232i | 1.00605 | − | 0.704443i | 0.0503320 | − | 0.998733i | \(-0.483972\pi\) |
0.955716 | + | 0.294290i | \(0.0950832\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.347747 | − | 0.955427i | 0.173874 | − | 0.477714i | ||||
\(5\) | 0.893670 | + | 2.04972i | 0.399661 | + | 0.916663i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.429055 | − | 0.920112i | 0.162168 | − | 0.347770i | −0.808387 | − | 0.588652i | \(-0.799659\pi\) |
0.970554 | + | 0.240882i | \(0.0774367\pi\) | |||||||
\(8\) | 0.442010 | + | 1.64960i | 0.156274 | + | 0.583223i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.31348 | + | 2.02597i | 1.04781 | + | 0.640669i | ||||
\(11\) | 0.759141 | − | 0.904709i | 0.228890 | − | 0.272780i | −0.639360 | − | 0.768908i | \(-0.720801\pi\) |
0.868250 | + | 0.496127i | \(0.165245\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.21505 | − | 3.16342i | 0.614345 | − | 0.877375i | −0.384610 | − | 0.923079i | \(-0.625664\pi\) |
0.998955 | + | 0.0457040i | \(0.0145531\pi\) | |||||||
\(14\) | −0.306200 | − | 1.73654i | −0.0818353 | − | 0.464111i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.83001 | + | 3.21376i | 0.957502 | + | 0.803439i | ||||
\(17\) | −0.144887 | + | 0.540727i | −0.0351404 | + | 0.131146i | −0.981268 | − | 0.192649i | \(-0.938292\pi\) |
0.946127 | + | 0.323795i | \(0.104959\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.83587 | + | 2.21464i | 0.880010 | + | 0.508074i | 0.870662 | − | 0.491882i | \(-0.163691\pi\) |
0.00934815 | + | 0.999956i | \(0.497024\pi\) | |||||||
\(20\) | 2.26913 | − | 0.141052i | 0.507393 | − | 0.0315402i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.178781 | − | 2.04347i | 0.0381162 | − | 0.435670i | ||||
\(23\) | −4.21975 | + | 1.96770i | −0.879879 | + | 0.410294i | −0.809427 | − | 0.587221i | \(-0.800222\pi\) |
−0.0704523 | + | 0.997515i | \(0.522444\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.40271 | + | 3.66355i | −0.680542 | + | 0.732709i | ||||
\(26\) | − | 6.70752i | − | 1.31545i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.729897 | − | 0.729897i | −0.137938 | − | 0.137938i | ||||
\(29\) | 1.44060 | − | 8.17007i | 0.267513 | − | 1.51714i | −0.494268 | − | 0.869309i | \(-0.664564\pi\) |
0.761782 | − | 0.647834i | \(-0.224325\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.51688 | − | 2.73592i | −1.35007 | − | 0.491386i | −0.437102 | − | 0.899412i | \(-0.643995\pi\) |
−0.912970 | + | 0.408026i | \(0.866217\pi\) | |||||||
\(32\) | 5.24827 | + | 0.459164i | 0.927771 | + | 0.0811694i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.332549 | + | 0.913671i | 0.0570317 | + | 0.156693i | ||||
\(35\) | 2.26941 | + | 0.0571670i | 0.383600 | + | 0.00966299i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.30076 | − | 1.42034i | −0.871440 | − | 0.233502i | −0.204730 | − | 0.978819i | \(-0.565632\pi\) |
−0.666710 | + | 0.745317i | \(0.732298\pi\) | |||||||
\(38\) | 7.66385 | − | 0.670500i | 1.24324 | − | 0.108770i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.98621 | + | 2.38020i | −0.472162 | + | 0.376342i | ||||
\(41\) | −5.46773 | + | 0.964109i | −0.853917 | + | 0.150569i | −0.583438 | − | 0.812157i | \(-0.698293\pi\) |
−0.270478 | + | 0.962726i | \(0.587182\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.0660161 | + | 0.754568i | 0.0100674 | + | 0.115070i | 0.999566 | − | 0.0294750i | \(-0.00938355\pi\) |
−0.989498 | + | 0.144546i | \(0.953828\pi\) | |||||||
\(44\) | −0.600395 | − | 1.03991i | −0.0905129 | − | 0.156773i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.04344 | + | 7.00343i | −0.596172 | + | 1.03260i | ||||
\(47\) | −11.1364 | − | 5.19301i | −1.62442 | − | 0.757478i | −0.624691 | − | 0.780872i | \(-0.714775\pi\) |
−0.999726 | + | 0.0233932i | \(0.992553\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.83700 | + | 4.57275i | 0.548142 | + | 0.653250i | ||||
\(50\) | −1.19152 | + | 8.60226i | −0.168506 | + | 1.21654i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.25214 | − | 3.21639i | −0.312316 | − | 0.446033i | ||||
\(53\) | 5.40763 | − | 5.40763i | 0.742795 | − | 0.742795i | −0.230320 | − | 0.973115i | \(-0.573977\pi\) |
0.973115 | + | 0.230320i | \(0.0739772\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.53282 | + | 0.747516i | 0.341526 | + | 0.100795i | ||||
\(56\) | 1.70747 | + | 0.301072i | 0.228170 | + | 0.0402325i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.08964 | − | 13.0593i | −0.799609 | − | 1.71477i | ||||
\(59\) | −6.20310 | + | 5.20502i | −0.807575 | + | 0.677636i | −0.950028 | − | 0.312166i | \(-0.898946\pi\) |
0.142453 | + | 0.989802i | \(0.454501\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 10.5365 | − | 3.83498i | 1.34906 | − | 0.491018i | 0.436407 | − | 0.899749i | \(-0.356251\pi\) |
0.912655 | + | 0.408731i | \(0.134029\pi\) | |||||||
\(62\) | −13.4204 | + | 3.59598i | −1.70439 | + | 0.456690i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.735277 | + | 0.424512i | −0.0919096 | + | 0.0530640i | ||||
\(65\) | 8.46365 | + | 1.71318i | 1.04979 | + | 0.212494i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.29416 | − | 0.906180i | −0.158107 | − | 0.110707i | 0.491846 | − | 0.870682i | \(-0.336322\pi\) |
−0.649953 | + | 0.759975i | \(0.725211\pi\) | |||||||
\(68\) | 0.466241 | + | 0.326466i | 0.0565401 | + | 0.0395898i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.28579 | − | 2.17952i | 0.392727 | − | 0.260503i | ||||
\(71\) | −6.95937 | + | 4.01800i | −0.825926 | + | 0.476849i | −0.852456 | − | 0.522800i | \(-0.824888\pi\) |
0.0265298 | + | 0.999648i | \(0.491554\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.11087 | + | 1.36945i | −0.598182 | + | 0.160282i | −0.545190 | − | 0.838312i | \(-0.683543\pi\) |
−0.0529922 | + | 0.998595i | \(0.516876\pi\) | |||||||
\(74\) | −8.95674 | + | 3.25999i | −1.04120 | + | 0.378966i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.44984 | − | 2.89476i | 0.395724 | − | 0.332052i | ||||
\(77\) | −0.506721 | − | 1.08667i | −0.0577462 | − | 0.123837i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.62789 | + | 1.16868i | 0.745696 | + | 0.131486i | 0.533570 | − | 0.845756i | \(-0.320850\pi\) |
0.212126 | + | 0.977242i | \(0.431961\pi\) | |||||||
\(80\) | −3.16454 | + | 10.7225i | −0.353807 | + | 1.19881i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.81884 | + | 6.81884i | −0.753014 | + | 0.753014i | ||||
\(83\) | −0.172108 | − | 0.245796i | −0.0188913 | − | 0.0269796i | 0.809595 | − | 0.586988i | \(-0.199687\pi\) |
−0.828487 | + | 0.560009i | \(0.810798\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.23782 | + | 0.186253i | −0.134261 | + | 0.0202020i | ||||
\(86\) | 0.845650 | + | 1.00781i | 0.0911888 | + | 0.108675i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.82796 | + | 0.852391i | 0.194861 | + | 0.0908652i | ||||
\(89\) | 5.41601 | − | 9.38081i | 0.574096 | − | 0.994364i | −0.422043 | − | 0.906576i | \(-0.638687\pi\) |
0.996139 | − | 0.0877879i | \(-0.0279798\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.96032 | − | 3.39538i | −0.205498 | − | 0.355932i | ||||
\(92\) | 0.412590 | + | 4.71593i | 0.0430155 | + | 0.491670i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −21.0180 | + | 3.70604i | −2.16784 | + | 0.382249i | ||||
\(95\) | −1.11139 | + | 9.84163i | −0.114027 | + | 1.00973i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.10194 | + | 0.446362i | −0.518023 | + | 0.0453212i | −0.343170 | − | 0.939273i | \(-0.611501\pi\) |
−0.174853 | + | 0.984595i | \(0.555945\pi\) | |||||||
\(98\) | 10.0147 | + | 2.68342i | 1.01163 | + | 0.271067i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.31697 | + | 4.52503i | 0.231697 | + | 0.452503i | ||||
\(101\) | 6.63190 | + | 18.2210i | 0.659899 | + | 1.81306i | 0.577393 | + | 0.816467i | \(0.304070\pi\) |
0.0825062 | + | 0.996591i | \(0.473708\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.8525 | + | 1.29943i | 1.46346 | + | 0.128036i | 0.790873 | − | 0.611980i | \(-0.209627\pi\) |
0.672589 | + | 0.740016i | \(0.265182\pi\) | |||||||
\(104\) | 6.19746 | + | 2.25569i | 0.607711 | + | 0.221189i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.30654 | − | 13.0811i | 0.224031 | − | 1.27054i | ||||
\(107\) | −3.20052 | − | 3.20052i | −0.309406 | − | 0.309406i | 0.535273 | − | 0.844679i | \(-0.320209\pi\) |
−0.844679 | + | 0.535273i | \(0.820209\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 10.7258i | − | 1.02735i | −0.857986 | − | 0.513673i | \(-0.828284\pi\) | ||
0.857986 | − | 0.513673i | \(-0.171716\pi\) | |||||||
\(110\) | 4.34832 | − | 1.45974i | 0.414596 | − | 0.139181i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.60030 | − | 2.14516i | 0.434688 | − | 0.202698i | ||||
\(113\) | 1.10011 | − | 12.5744i | 0.103490 | − | 1.18290i | −0.749874 | − | 0.661581i | \(-0.769886\pi\) |
0.853364 | − | 0.521316i | \(-0.174559\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.80431 | − | 6.89084i | −0.727755 | − | 0.642574i | ||||
\(116\) | −7.30494 | − | 4.21751i | −0.678247 | − | 0.391586i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.64016 | + | 13.5853i | −0.335104 | + | 1.25062i | ||||
\(119\) | 0.435365 | + | 0.365315i | 0.0399099 | + | 0.0334883i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.66793 | + | 9.45928i | 0.151630 | + | 0.859935i | ||||
\(122\) | 11.1705 | − | 15.9531i | 1.01133 | − | 1.44432i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.22795 | + | 6.23043i | −0.469484 | + | 0.559509i | ||||
\(125\) | −10.5501 | − | 3.70060i | −0.943634 | − | 0.330992i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.56717 | − | 17.0449i | −0.405270 | − | 1.51249i | −0.803556 | − | 0.595229i | \(-0.797061\pi\) |
0.398286 | − | 0.917261i | \(-0.369605\pi\) | |||||||
\(128\) | −5.07618 | + | 10.8859i | −0.448676 | + | 0.962188i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 13.7485 | − | 5.99430i | 1.20583 | − | 0.525735i | ||||
\(131\) | 0.988469 | − | 2.71580i | 0.0863629 | − | 0.237280i | −0.888992 | − | 0.457923i | \(-0.848593\pi\) |
0.975355 | + | 0.220643i | \(0.0708156\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.68352 | − | 2.57923i | 0.319402 | − | 0.223648i | ||||
\(134\) | −2.74405 | −0.237050 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.956027 | −0.0819787 | ||||||||
\(137\) | 6.89836 | − | 4.83028i | 0.589367 | − | 0.412679i | −0.240493 | − | 0.970651i | \(-0.577309\pi\) |
0.829860 | + | 0.557972i | \(0.188420\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.42050 | + | 9.39775i | −0.290123 | + | 0.797107i | 0.705925 | + | 0.708287i | \(0.250532\pi\) |
−0.996048 | + | 0.0888198i | \(0.971690\pi\) | |||||||
\(140\) | 0.843798 | − | 2.14837i | 0.0713140 | − | 0.181571i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.89871 | + | 12.6498i | −0.495009 | + | 1.06155i | ||||
\(143\) | −1.18044 | − | 4.40546i | −0.0987133 | − | 0.368403i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 18.0338 | − | 4.34851i | 1.49762 | − | 0.361124i | ||||
\(146\) | −5.90728 | + | 7.04003i | −0.488890 | + | 0.582637i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.20035 | + | 4.57058i | −0.263067 | + | 0.375699i | ||||
\(149\) | 2.48868 | + | 14.1140i | 0.203881 | + | 1.15626i | 0.899191 | + | 0.437555i | \(0.144156\pi\) |
−0.695311 | + | 0.718709i | \(0.744733\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.12708 | + | 3.46303i | 0.335857 | + | 0.281818i | 0.795081 | − | 0.606503i | \(-0.207428\pi\) |
−0.459224 | + | 0.888320i | \(0.651873\pi\) | |||||||
\(152\) | −1.95779 | + | 7.30656i | −0.158798 | + | 0.592640i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.80352 | − | 1.04126i | −0.145332 | − | 0.0839072i | ||||
\(155\) | −1.10974 | − | 17.8525i | −0.0891362 | − | 1.43395i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.694063 | + | 7.93317i | −0.0553922 | + | 0.633136i | 0.916861 | + | 0.399206i | \(0.130714\pi\) |
−0.972253 | + | 0.233930i | \(0.924841\pi\) | |||||||
\(158\) | 10.5942 | − | 4.94016i | 0.842831 | − | 0.393018i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.74906 | + | 11.1678i | 0.296389 | + | 0.882893i | ||||
\(161\) | 4.72690i | 0.372532i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.3432 | − | 11.3432i | −0.888466 | − | 0.888466i | 0.105910 | − | 0.994376i | \(-0.466224\pi\) |
−0.994376 | + | 0.105910i | \(0.966224\pi\) | |||||||
\(164\) | −0.980253 | + | 5.55929i | −0.0765449 | + | 0.434108i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.489740 | − | 0.178251i | −0.0380112 | − | 0.0138349i | ||||
\(167\) | 0.422026 | + | 0.0369225i | 0.0326574 | + | 0.00285715i | 0.103473 | − | 0.994632i | \(-0.467005\pi\) |
−0.0708153 | + | 0.997489i | \(0.522560\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.654517 | − | 1.79827i | −0.0503475 | − | 0.138329i | ||||
\(170\) | −1.57558 | + | 1.49815i | −0.120842 | + | 0.114903i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.743891 | + | 0.199325i | 0.0567212 | + | 0.0151984i | ||||
\(173\) | 8.04840 | − | 0.704144i | 0.611909 | − | 0.0535351i | 0.223011 | − | 0.974816i | \(-0.428411\pi\) |
0.388898 | + | 0.921281i | \(0.372856\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.91092 | + | 4.70274i | 0.144452 | + | 0.355494i | ||||
\(176\) | 5.81503 | − | 1.02535i | 0.438325 | − | 0.0772885i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.63974 | − | 18.7423i | −0.122904 | − | 1.40480i | ||||
\(179\) | −6.38218 | − | 11.0543i | −0.477026 | − | 0.826234i | 0.522627 | − | 0.852561i | \(-0.324952\pi\) |
−0.999653 | + | 0.0263277i | \(0.991619\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.24880 | + | 16.0194i | −0.687458 | + | 1.19071i | 0.285199 | + | 0.958468i | \(0.407940\pi\) |
−0.972657 | + | 0.232244i | \(0.925393\pi\) | |||||||
\(182\) | −6.17167 | − | 2.87790i | −0.457474 | − | 0.213324i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.11110 | − | 6.09117i | −0.376795 | − | 0.449047i | ||||
\(185\) | −1.82584 | − | 12.1344i | −0.134239 | − | 0.892139i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.379211 | + | 0.541570i | 0.0277307 | + | 0.0396035i | ||||
\(188\) | −8.83421 | + | 8.83421i | −0.644301 | + | 0.644301i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.22329 | + | 15.1096i | 0.596580 | + | 1.09616i | ||||
\(191\) | −4.20349 | − | 0.741189i | −0.304154 | − | 0.0536306i | 0.0194882 | − | 0.999810i | \(-0.493796\pi\) |
−0.323642 | + | 0.946180i | \(0.604907\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.28212 | − | 9.18304i | −0.308234 | − | 0.661010i | 0.689779 | − | 0.724020i | \(-0.257708\pi\) |
−0.998013 | + | 0.0630104i | \(0.979930\pi\) | |||||||
\(194\) | −6.81419 | + | 5.71778i | −0.489230 | + | 0.410513i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.70324 | − | 2.07581i | 0.407374 | − | 0.148272i | ||||
\(197\) | 11.4519 | − | 3.06853i | 0.815916 | − | 0.218624i | 0.173356 | − | 0.984859i | \(-0.444539\pi\) |
0.642560 | + | 0.766235i | \(0.277872\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.06551 | − | 2.92457i | 0.359084 | − | 0.207317i | −0.309595 | − | 0.950869i | \(-0.600193\pi\) |
0.668679 | + | 0.743551i | \(0.266860\pi\) | |||||||
\(200\) | −7.54743 | − | 3.99379i | −0.533684 | − | 0.282404i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 27.5880 | + | 19.3173i | 1.94108 | + | 1.35916i | ||||
\(203\) | −6.89928 | − | 4.83093i | −0.484234 | − | 0.339065i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.86250 | − | 10.3457i | −0.479298 | − | 0.722577i | ||||
\(206\) | 22.4262 | − | 12.9478i | 1.56251 | − | 0.902114i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 18.6501 | − | 4.99729i | 1.29315 | − | 0.346500i | ||||
\(209\) | 4.91558 | − | 1.78912i | 0.340018 | − | 0.123756i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.44373 | + | 4.56783i | −0.374762 | + | 0.314462i | −0.810642 | − | 0.585542i | \(-0.800882\pi\) |
0.435880 | + | 0.900005i | \(0.356437\pi\) | |||||||
\(212\) | −3.28611 | − | 7.04709i | −0.225691 | − | 0.483996i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.74205 | − | 1.36513i | −0.529236 | − | 0.0933186i | ||||
\(215\) | −1.48766 | + | 0.809649i | −0.101457 | + | 0.0552176i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.74251 | + | 5.74251i | −0.389827 | + | 0.389827i | ||||
\(218\) | −10.6854 | − | 15.2603i | −0.723707 | − | 1.03356i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.59498 | − | 2.15998i | 0.107533 | − | 0.145626i | ||||
\(221\) | 1.38961 | + | 1.65608i | 0.0934756 | + | 0.111400i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.00892 | + | 0.936774i | 0.134527 | + | 0.0627310i | 0.488716 | − | 0.872443i | \(-0.337465\pi\) |
−0.354189 | + | 0.935174i | \(0.615243\pi\) | |||||||
\(224\) | 2.67428 | − | 4.63199i | 0.178683 | − | 0.309488i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.9618 | − | 18.9864i | −0.729167 | − | 1.26295i | ||||
\(227\) | 0.837726 | + | 9.57526i | 0.0556018 | + | 0.635532i | 0.971956 | + | 0.235163i | \(0.0755624\pi\) |
−0.916354 | + | 0.400369i | \(0.868882\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.88832 | + | 1.74358i | −0.653438 | + | 0.115219i | −0.490533 | − | 0.871423i | \(-0.663198\pi\) |
−0.162906 | + | 0.986642i | \(0.552087\pi\) | |||||||
\(230\) | −17.9686 | − | 2.02915i | −1.18481 | − | 0.133798i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 14.1141 | − | 1.23483i | 0.926638 | − | 0.0810703i | ||||
\(233\) | 11.6282 | + | 3.11576i | 0.761788 | + | 0.204120i | 0.618741 | − | 0.785595i | \(-0.287643\pi\) |
0.143047 | + | 0.989716i | \(0.454310\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.691913 | − | 27.4674i | 0.0451354 | − | 1.79178i | ||||
\(236\) | 2.81591 | + | 7.73664i | 0.183300 | + | 0.503613i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.983361 | + | 0.0860330i | 0.0637418 | + | 0.00557669i | ||||
\(239\) | 1.69787 | + | 0.617976i | 0.109826 | + | 0.0399735i | 0.396349 | − | 0.918100i | \(-0.370277\pi\) |
−0.286522 | + | 0.958074i | \(0.592499\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.79425 | + | 15.8470i | −0.179994 | + | 1.02079i | 0.752227 | + | 0.658904i | \(0.228980\pi\) |
−0.932221 | + | 0.361890i | \(0.882131\pi\) | |||||||
\(242\) | 11.7967 | + | 11.7967i | 0.758321 | + | 0.758321i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 11.4005i | − | 0.729840i | ||||||
\(245\) | −5.94386 | + | 11.9513i | −0.379739 | + | 0.763541i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 15.5025 | − | 7.22894i | 0.986401 | − | 0.459966i | ||||
\(248\) | 1.19065 | − | 13.6092i | 0.0756063 | − | 0.864184i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −18.6971 | + | 5.24530i | −1.18251 | + | 0.331742i | ||||
\(251\) | 15.8224 | + | 9.13506i | 0.998700 | + | 0.576600i | 0.907863 | − | 0.419266i | \(-0.137713\pi\) |
0.0908365 | + | 0.995866i | \(0.471046\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.42319 | + | 5.31141i | −0.0894751 | + | 0.333926i | ||||
\(254\) | −23.4787 | − | 19.7010i | −1.47318 | − | 1.23615i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.32781 | + | 18.8729i | 0.207988 | + | 1.17956i | ||||
\(257\) | 8.13228 | − | 11.6141i | 0.507278 | − | 0.724468i | −0.481070 | − | 0.876682i | \(-0.659752\pi\) |
0.988347 | + | 0.152215i | \(0.0486405\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.58119 | + | 4.26790i | −0.222524 | + | 0.265194i | ||||
\(260\) | 4.58003 | − | 7.49065i | 0.284041 | − | 0.464550i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.29920 | − | 4.84869i | −0.0802650 | − | 0.299553i | ||||
\(263\) | 1.55072 | − | 3.32553i | 0.0956215 | − | 0.205061i | −0.852679 | − | 0.522436i | \(-0.825023\pi\) |
0.948300 | + | 0.317375i | \(0.102801\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.9168 | + | 6.25149i | 0.977759 | + | 0.384026i | ||||
\(266\) | 2.67128 | − | 7.33929i | 0.163787 | − | 0.450000i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.31583 | + | 0.921353i | −0.0803770 | + | 0.0562806i | ||||
\(269\) | 11.1677 | 0.680904 | 0.340452 | − | 0.940262i | \(-0.389420\pi\) | ||||
0.340452 | + | 0.940262i | \(0.389420\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.0328 | 1.39914 | 0.699572 | − | 0.714562i | \(-0.253374\pi\) | ||||
0.699572 | + | 0.714562i | \(0.253374\pi\) | |||||||
\(272\) | −2.29269 | + | 1.60536i | −0.139015 | + | 0.0973390i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.00267 | − | 13.7447i | 0.302223 | − | 0.830350i | ||||
\(275\) | 0.731309 | + | 5.85961i | 0.0440996 | + | 0.353348i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.25770 | − | 11.2752i | 0.315905 | − | 0.677460i | −0.682676 | − | 0.730721i | \(-0.739184\pi\) |
0.998581 | + | 0.0532613i | \(0.0169616\pi\) | |||||||
\(278\) | 4.49577 | + | 16.7784i | 0.269638 | + | 1.00630i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.908797 | + | 3.76889i | 0.0543110 | + | 0.225234i | ||||
\(281\) | −5.39196 | + | 6.42589i | −0.321657 | + | 0.383336i | −0.902507 | − | 0.430674i | \(-0.858276\pi\) |
0.580850 | + | 0.814011i | \(0.302720\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.92088 | + | 9.88404i | −0.411404 | + | 0.587545i | −0.970364 | − | 0.241649i | \(-0.922312\pi\) |
0.558960 | + | 0.829195i | \(0.311201\pi\) | |||||||
\(284\) | 1.41880 | + | 8.04642i | 0.0841904 | + | 0.477467i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.06835 | − | 5.09195i | −0.358829 | − | 0.301093i | ||||
\(287\) | −1.45887 | + | 5.44459i | −0.0861145 | + | 0.321384i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.4510 | + | 8.34331i | 0.850061 | + | 0.490783i | ||||
\(290\) | 21.3257 | − | 24.1527i | 1.25229 | − | 1.41830i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.468877 | + | 5.35929i | −0.0274390 | + | 0.313629i | ||||
\(293\) | −19.4978 | + | 9.09195i | −1.13907 | + | 0.531157i | −0.898282 | − | 0.439420i | \(-0.855184\pi\) |
−0.240789 | + | 0.970577i | \(0.577406\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −16.2124 | − | 8.06305i | −0.943920 | − | 0.469449i | ||||
\(296\) | − | 9.37196i | − | 0.544734i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 17.6016 | + | 17.6016i | 1.01964 | + | 1.01964i | ||||
\(299\) | −3.12229 | + | 17.7074i | −0.180567 | + | 1.02405i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.722611 | + | 0.263009i | 0.0416506 | + | 0.0151596i | ||||
\(302\) | 9.32186 | + | 0.815557i | 0.536413 | + | 0.0469301i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 7.57410 | + | 20.8097i | 0.434404 | + | 1.19352i | ||||
\(305\) | 17.2768 | + | 18.1697i | 0.989266 | + | 1.04039i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.9453 | − | 3.20074i | −0.681757 | − | 0.182676i | −0.0987117 | − | 0.995116i | \(-0.531472\pi\) |
−0.583045 | + | 0.812440i | \(0.698139\pi\) | |||||||
\(308\) | −1.21444 | + | 0.106250i | −0.0691992 | + | 0.00605414i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −19.3642 | − | 24.2944i | −1.09981 | − | 1.37983i | ||||
\(311\) | 13.5294 | − | 2.38560i | 0.767181 | − | 0.135275i | 0.223656 | − | 0.974668i | \(-0.428201\pi\) |
0.543524 | + | 0.839393i | \(0.317090\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.60145 | + | 29.7347i | 0.147043 | + | 1.68071i | 0.608507 | + | 0.793548i | \(0.291769\pi\) |
−0.461465 | + | 0.887159i | \(0.652676\pi\) | |||||||
\(314\) | 6.91579 | + | 11.9785i | 0.390281 | + | 0.675986i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.42141 | − | 5.92606i | 0.192470 | − | 0.333367i | ||||
\(317\) | 19.3873 | + | 9.04044i | 1.08890 | + | 0.507762i | 0.882311 | − | 0.470666i | \(-0.155986\pi\) |
0.206588 | + | 0.978428i | \(0.433764\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.29792 | − | 7.50556i | −0.352616 | − | 0.420231i | ||||
\(320\) | −1.52723 | − | 1.12774i | −0.0853745 | − | 0.0630425i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.70909 | + | 6.72527i | 0.262427 | + | 0.374785i | ||||
\(323\) | −1.75329 | + | 1.75329i | −0.0975556 | + | 0.0975556i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.05217 | + | 18.8791i | 0.224774 | + | 1.04723i | ||||
\(326\) | −27.4391 | − | 4.83826i | −1.51971 | − | 0.267966i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.00719 | − | 8.59345i | −0.221260 | − | 0.474494i | ||||
\(329\) | −9.55630 | + | 8.01869i | −0.526856 | + | 0.442085i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.1329 | + | 8.78365i | −1.32646 | + | 0.482793i | −0.905524 | − | 0.424296i | \(-0.860522\pi\) |
−0.420939 | + | 0.907089i | \(0.638299\pi\) | |||||||
\(332\) | −0.294691 | + | 0.0789621i | −0.0161732 | + | 0.00433361i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.637228 | − | 0.367904i | 0.0348676 | − | 0.0201308i | ||||
\(335\) | 0.700864 | − | 3.46249i | 0.0382923 | − | 0.189176i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.778831 | − | 0.545344i | −0.0424256 | − | 0.0297068i | 0.552171 | − | 0.833731i | \(-0.313799\pi\) |
−0.594597 | + | 0.804024i | \(0.702688\pi\) | |||||||
\(338\) | −2.72272 | − | 1.90647i | −0.148096 | − | 0.103698i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.252498 | + | 1.24742i | −0.0136936 | + | 0.0676507i | ||||
\(341\) | −8.18159 | + | 4.72364i | −0.443058 | + | 0.255800i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.7182 | − | 3.40783i | 0.686718 | − | 0.184006i | ||||
\(344\) | −1.21556 | + | 0.442427i | −0.0655385 | + | 0.0238540i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.7495 | − | 9.01991i | 0.577897 | − | 0.484913i | ||||
\(347\) | −0.861237 | − | 1.84693i | −0.0462336 | − | 0.0991483i | 0.881834 | − | 0.471560i | \(-0.156309\pi\) |
−0.928068 | + | 0.372411i | \(0.878531\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.3172 | + | 2.34817i | 0.712851 | + | 0.125695i | 0.518302 | − | 0.855198i | \(-0.326564\pi\) |
0.194549 | + | 0.980893i | \(0.437676\pi\) | |||||||
\(350\) | 7.40382 | + | 4.78718i | 0.395751 | + | 0.255885i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.39958 | − | 4.39958i | 0.234499 | − | 0.234499i | ||||
\(353\) | 4.28254 | + | 6.11610i | 0.227936 | + | 0.325527i | 0.916787 | − | 0.399376i | \(-0.130773\pi\) |
−0.688851 | + | 0.724903i | \(0.741884\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −14.4552 | − | 10.6740i | −0.767200 | − | 0.566518i | ||||
\(356\) | −7.07928 | − | 8.43675i | −0.375201 | − | 0.447147i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −20.0930 | − | 9.36950i | −1.06195 | − | 0.495193i | ||||
\(359\) | −4.40107 | + | 7.62287i | −0.232279 | + | 0.402320i | −0.958479 | − | 0.285165i | \(-0.907952\pi\) |
0.726199 | + | 0.687484i | \(0.241285\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.309285 | + | 0.535697i | 0.0162782 | + | 0.0281946i | ||||
\(362\) | 2.80015 | + | 32.0058i | 0.147172 | + | 1.68219i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.92573 | + | 0.692213i | −0.205764 | + | 0.0362818i | ||||
\(365\) | −7.37443 | − | 9.25202i | −0.385995 | − | 0.484273i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −27.1913 | + | 2.37893i | −1.41938 | + | 0.124179i | −0.770852 | − | 0.637015i | \(-0.780169\pi\) |
−0.648524 | + | 0.761194i | \(0.724613\pi\) | |||||||
\(368\) | −22.4854 | − | 6.02494i | −1.17213 | − | 0.314072i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −14.6864 | − | 15.4455i | −0.763511 | − | 0.802971i | ||||
\(371\) | −2.65545 | − | 7.29580i | −0.137864 | − | 0.378779i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.1103 | + | 1.05951i | 0.627046 | + | 0.0548594i | 0.396250 | − | 0.918143i | \(-0.370311\pi\) |
0.230796 | + | 0.973002i | \(0.425867\pi\) | |||||||
\(374\) | 1.07906 | + | 0.392745i | 0.0557968 | + | 0.0203084i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.64399 | − | 20.6661i | 0.187924 | − | 1.06577i | ||||
\(377\) | −22.6543 | − | 22.6543i | −1.16676 | − | 1.16676i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 22.6602i | − | 1.16398i | −0.813198 | − | 0.581988i | \(-0.802275\pi\) | ||
0.813198 | − | 0.581988i | \(-0.197725\pi\) | |||||||
\(380\) | 9.01648 | + | 4.48425i | 0.462535 | + | 0.230037i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −6.71899 | + | 3.13312i | −0.343773 | + | 0.160304i | ||||
\(383\) | −1.66185 | + | 18.9950i | −0.0849166 | + | 0.970601i | 0.827534 | + | 0.561415i | \(0.189743\pi\) |
−0.912451 | + | 0.409186i | \(0.865813\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.77452 | − | 2.00976i | 0.0904379 | − | 0.102427i | ||||
\(386\) | −15.2409 | − | 8.79934i | −0.775741 | − | 0.447874i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.34772 | + | 5.02975i | −0.0684200 | + | 0.255347i | ||||
\(389\) | −11.9485 | − | 10.0260i | −0.605814 | − | 0.508338i | 0.287495 | − | 0.957782i | \(-0.407178\pi\) |
−0.893309 | + | 0.449444i | \(0.851622\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.452602 | − | 2.56683i | −0.0228890 | − | 0.129810i | ||||
\(392\) | −5.84724 | + | 8.35072i | −0.295330 | + | 0.421775i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 13.2364 | − | 15.7746i | 0.666842 | − | 0.794712i | ||||
\(395\) | 3.52769 | + | 14.6297i | 0.177497 | + | 0.736102i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.30277 | + | 8.59405i | 0.115573 | + | 0.431323i | 0.999329 | − | 0.0366240i | \(-0.0116604\pi\) |
−0.883756 | + | 0.467947i | \(0.844994\pi\) | |||||||
\(398\) | 4.29348 | − | 9.20740i | 0.215213 | − | 0.461525i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −24.8062 | + | 3.09593i | −1.24031 | + | 0.154797i | ||||
\(401\) | 0.377837 | − | 1.03810i | 0.0188683 | − | 0.0518401i | −0.929901 | − | 0.367810i | \(-0.880108\pi\) |
0.948769 | + | 0.315970i | \(0.102330\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −25.3051 | + | 17.7189i | −1.26054 | + | 0.882639i | ||||
\(404\) | 19.7151 | 0.980861 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −14.6288 | −0.726015 | ||||||||
\(407\) | −5.30902 | + | 3.71742i | −0.263158 | + | 0.184265i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.248916 | + | 0.683891i | −0.0123081 | + | 0.0338162i | −0.945695 | − | 0.325057i | \(-0.894617\pi\) |
0.933386 | + | 0.358873i | \(0.116839\pi\) | |||||||
\(410\) | −20.0705 | − | 7.88292i | −0.991211 | − | 0.389310i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.40643 | − | 13.7386i | 0.315622 | − | 0.676854i | ||||
\(413\) | 2.12773 | + | 7.94079i | 0.104699 | + | 0.390741i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.350005 | − | 0.572435i | 0.0171811 | − | 0.0280997i | ||||
\(416\) | 13.0777 | − | 15.5854i | 0.641187 | − | 0.764137i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.21134 | − | 7.44256i | 0.254895 | − | 0.364028i | ||||
\(419\) | 3.40845 | + | 19.3303i | 0.166514 | + | 0.944347i | 0.947490 | + | 0.319786i | \(0.103611\pi\) |
−0.780976 | + | 0.624561i | \(0.785278\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.09926 | − | 6.79608i | −0.394734 | − | 0.331221i | 0.423720 | − | 0.905793i | \(-0.360724\pi\) |
−0.818454 | + | 0.574572i | \(0.805168\pi\) | |||||||
\(422\) | −3.19454 | + | 11.9222i | −0.155508 | + | 0.580362i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 11.3107 | + | 6.53022i | 0.549295 | + | 0.317135i | ||||
\(425\) | −1.48797 | − | 2.37074i | −0.0721772 | − | 0.114998i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.992138 | − | 11.3402i | 0.0480129 | − | 0.548790i | ||||
\(428\) | −4.17083 | + | 1.94489i | −0.201605 | + | 0.0940099i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.30999 | + | 2.63399i | −0.0631733 | + | 0.127022i | ||||
\(431\) | − | 16.6095i | − | 0.800052i | −0.916504 | − | 0.400026i | \(-0.869001\pi\) | ||
0.916504 | − | 0.400026i | \(-0.130999\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −14.3203 | − | 14.3203i | −0.688189 | − | 0.688189i | 0.273643 | − | 0.961831i | \(-0.411771\pi\) |
−0.961831 | + | 0.273643i | \(0.911771\pi\) | |||||||
\(434\) | −2.44938 | + | 13.8911i | −0.117574 | + | 0.666796i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.2477 | − | 3.72987i | −0.490778 | − | 0.178628i | ||||
\(437\) | −20.5442 | − | 1.79738i | −0.982762 | − | 0.0859805i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.05583 | + | 11.1433i | 0.193574 | + | 0.531840i | 0.998069 | − | 0.0621195i | \(-0.0197860\pi\) |
−0.804495 | + | 0.593960i | \(0.797564\pi\) | |||||||
\(440\) | −0.113572 | + | 4.50856i | −0.00541434 | + | 0.214937i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.62694 | + | 0.971835i | 0.172516 | + | 0.0462255i | ||||
\(443\) | −22.1937 | + | 1.94169i | −1.05445 | + | 0.0922527i | −0.601176 | − | 0.799117i | \(-0.705301\pi\) |
−0.453277 | + | 0.891369i | \(0.649745\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 24.0682 | + | 2.71797i | 1.14094 | + | 0.128844i | ||||
\(446\) | 3.79147 | − | 0.668538i | 0.179531 | − | 0.0316562i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.0751244 | + | 0.858676i | 0.00354930 | + | 0.0405686i | ||||
\(449\) | −2.63657 | − | 4.56667i | −0.124427 | − | 0.215514i | 0.797082 | − | 0.603872i | \(-0.206376\pi\) |
−0.921509 | + | 0.388357i | \(0.873043\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.27855 | + | 5.67861i | −0.154381 | + | 0.267395i | ||||
\(452\) | −11.6313 | − | 5.42378i | −0.547092 | − | 0.255113i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 10.7311 | + | 12.7888i | 0.503634 | + | 0.600208i | ||||
\(455\) | 5.20769 | − | 7.05246i | 0.244140 | − | 0.330624i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.51211 | − | 7.87211i | −0.257846 | − | 0.368242i | 0.669269 | − | 0.743021i | \(-0.266608\pi\) |
−0.927114 | + | 0.374779i | \(0.877719\pi\) | |||||||
\(458\) | −12.3318 | + | 12.3318i | −0.576225 | + | 0.576225i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −9.29762 | + | 5.06018i | −0.433504 | + | 0.235932i | ||||
\(461\) | −10.5760 | − | 1.86484i | −0.492575 | − | 0.0868543i | −0.0781574 | − | 0.996941i | \(-0.524904\pi\) |
−0.414418 | + | 0.910087i | \(0.636015\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.1325 | + | 32.4518i | 0.703268 | + | 1.50816i | 0.854381 | + | 0.519647i | \(0.173936\pi\) |
−0.151113 | + | 0.988516i | \(0.548286\pi\) | |||||||
\(464\) | 31.7741 | − | 26.6617i | 1.47508 | − | 1.23774i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 19.6482 | − | 7.15137i | 0.910187 | − | 0.331281i | ||||
\(467\) | −23.5963 | + | 6.32261i | −1.09191 | + | 0.292575i | −0.759465 | − | 0.650549i | \(-0.774539\pi\) |
−0.332441 | + | 0.943124i | \(0.607872\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.38905 | + | 0.801970i | −0.0641405 | + | 0.0370315i | ||||
\(470\) | −26.3795 | − | 39.7691i | −1.21680 | − | 1.83441i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −11.3280 | − | 7.93199i | −0.521416 | − | 0.365099i | ||||
\(473\) | 0.732780 | + | 0.513098i | 0.0336933 | + | 0.0235923i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −21.1658 | + | 6.51712i | −0.971154 | + | 0.299026i | ||||
\(476\) | 0.500429 | − | 0.288923i | 0.0229371 | − | 0.0132427i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.03133 | − | 0.812242i | 0.138650 | − | 0.0371511i | ||||
\(479\) | 38.3549 | − | 13.9601i | 1.75248 | − | 0.637851i | 0.752692 | − | 0.658373i | \(-0.228755\pi\) |
0.999789 | + | 0.0205215i | \(0.00653265\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −16.2346 | + | 13.6224i | −0.740233 | + | 0.621129i | ||||
\(482\) | 11.8117 | + | 25.3303i | 0.538009 | + | 1.15376i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 9.61767 | + | 1.69585i | 0.437167 | + | 0.0770843i | ||||
\(485\) | −5.47436 | − | 10.0586i | −0.248578 | − | 0.456739i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −23.5238 | + | 23.5238i | −1.06596 | + | 1.06596i | −0.0682997 | + | 0.997665i | \(0.521757\pi\) |
−0.997665 | + | 0.0682997i | \(0.978243\pi\) | |||||||
\(488\) | 10.9834 | + | 15.6860i | 0.497196 | + | 0.710070i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.44954 | + | 22.9254i | 0.155834 | + | 1.03566i | ||||
\(491\) | 3.19936 | + | 3.81285i | 0.144385 | + | 0.172071i | 0.833390 | − | 0.552685i | \(-0.186397\pi\) |
−0.689005 | + | 0.724756i | \(0.741952\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.20905 | + | 1.96271i | 0.189566 | + | 0.0883962i | ||||
\(494\) | 14.8548 | − | 25.7292i | 0.668347 | − | 1.15761i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −19.9971 | − | 34.6360i | −0.897897 | − | 1.55520i | ||||
\(497\) | 0.711051 | + | 8.12735i | 0.0318950 | + | 0.364561i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.36453 | − | 1.12224i | 0.284916 | − | 0.0502383i | −0.0293640 | − | 0.999569i | \(-0.509348\pi\) |
0.314280 | + | 0.949330i | \(0.398237\pi\) | |||||||
\(500\) | −7.20444 | + | 8.79302i | −0.322192 | + | 0.393236i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 31.6122 | − | 2.76571i | 1.41092 | − | 0.123440i | ||||
\(503\) | −24.7077 | − | 6.62040i | −1.10166 | − | 0.295189i | −0.338220 | − | 0.941067i | \(-0.609825\pi\) |
−0.763441 | + | 0.645878i | \(0.776491\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −31.4212 | + | 29.8771i | −1.39823 | + | 1.32951i | ||||
\(506\) | 3.26654 | + | 8.97473i | 0.145215 | + | 0.398975i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −17.8734 | − | 1.56372i | −0.793003 | − | 0.0693788i | ||||
\(509\) | 22.5637 | + | 8.21250i | 1.00012 | + | 0.364013i | 0.789630 | − | 0.613584i | \(-0.210273\pi\) |
0.210487 | + | 0.977597i | \(0.432495\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.932796 | + | 5.29015i | −0.0412644 | + | 0.234022i | ||||
\(512\) | 6.55000 | + | 6.55000i | 0.289472 | + | 0.289472i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 24.6258i | − | 1.08620i | ||||||
\(515\) | 10.6098 | + | 31.6048i | 0.467523 | + | 1.39267i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −13.1523 | + | 6.13302i | −0.578438 | + | 0.269730i | ||||
\(518\) | −0.843383 | + | 9.63992i | −0.0370561 | + | 0.423554i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.914947 | + | 14.7189i | 0.0401231 | + | 0.645467i | ||||
\(521\) | −10.1059 | − | 5.83464i | −0.442747 | − | 0.255620i | 0.262015 | − | 0.965064i | \(-0.415613\pi\) |
−0.704762 | + | 0.709444i | \(0.748946\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.07224 | + | 33.8581i | −0.396701 | + | 1.48051i | 0.422162 | + | 0.906521i | \(0.361272\pi\) |
−0.818863 | + | 0.573989i | \(0.805395\pi\) | |||||||
\(524\) | −2.25101 | − | 1.88882i | −0.0983358 | − | 0.0825135i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.10669 | − | 6.27633i | −0.0482539 | − | 0.273661i | ||||
\(527\) | 2.56849 | − | 3.66818i | 0.111885 | − | 0.159789i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.849663 | + | 1.01259i | −0.0369419 | + | 0.0440256i | ||||
\(530\) | 28.8738 | − | 6.96238i | 1.25420 | − | 0.302426i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.18333 | − | 4.41626i | −0.0513040 | − | 0.191469i | ||||
\(533\) | −9.06143 | + | 19.4323i | −0.392494 | + | 0.841706i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.69996 | − | 9.42038i | 0.159963 | − | 0.407278i | ||||
\(536\) | 0.922806 | − | 2.53539i | 0.0398591 | − | 0.109512i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 15.8890 | − | 11.1256i | 0.685022 | − | 0.479658i | ||||
\(539\) | 7.04983 | 0.303658 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 32.8530 | 1.41246 | 0.706230 | − | 0.707983i | \(-0.250394\pi\) | ||||
0.706230 | + | 0.707983i | \(0.250394\pi\) | |||||||
\(542\) | 32.7703 | − | 22.9460i | 1.40761 | − | 0.985617i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.00869 | + | 2.77135i | −0.0432472 | + | 0.118821i | ||||
\(545\) | 21.9849 | − | 9.58534i | 0.941731 | − | 0.410591i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.7126 | − | 40.1294i | 0.800094 | − | 1.71581i | 0.107823 | − | 0.994170i | \(-0.465612\pi\) |
0.692271 | − | 0.721638i | \(-0.256610\pi\) | |||||||
\(548\) | −2.21610 | − | 8.27060i | −0.0946671 | − | 0.353302i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.87802 | + | 7.60831i | 0.293280 | + | 0.324419i | ||||
\(551\) | 23.6198 | − | 28.1489i | 1.00624 | − | 1.19918i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.91904 | − | 5.59698i | 0.166655 | − | 0.238008i | ||||
\(554\) | −3.75221 | − | 21.2799i | −0.159416 | − | 0.904094i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7.78940 | + | 6.53608i | 0.330344 | + | 0.277192i | ||||
\(557\) | 9.87492 | − | 36.8537i | 0.418414 | − | 1.56154i | −0.359484 | − | 0.933151i | \(-0.617047\pi\) |
0.777898 | − | 0.628391i | \(-0.216286\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.53324 | + | 1.46257i | 0.107145 | + | 0.0618601i | ||||
\(560\) | 8.50812 | + | 7.51227i | 0.359534 | + | 0.317451i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.26983 | + | 14.5142i | −0.0535644 | + | 0.612244i | ||||
\(563\) | −7.65616 | + | 3.57013i | −0.322669 | + | 0.150463i | −0.577203 | − | 0.816601i | \(-0.695856\pi\) |
0.254534 | + | 0.967064i | \(0.418078\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 26.7571 | − | 8.98241i | 1.12568 | − | 0.377893i | ||||
\(566\) | 20.9575i | 0.880909i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.70421 | − | 9.70421i | −0.407180 | − | 0.407180i | ||||
\(569\) | −0.364320 | + | 2.06616i | −0.0152731 | + | 0.0866180i | −0.991492 | − | 0.130171i | \(-0.958447\pi\) |
0.976218 | + | 0.216789i | \(0.0695584\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 39.5609 | + | 14.3990i | 1.65557 | + | 0.602578i | 0.989657 | − | 0.143451i | \(-0.0458200\pi\) |
0.665913 | + | 0.746029i | \(0.268042\pi\) | |||||||
\(572\) | −4.61959 | − | 0.404162i | −0.193155 | − | 0.0168989i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.34844 | + | 9.19975i | 0.139761 | + | 0.383990i | ||||
\(575\) | 7.14981 | − | 22.1548i | 0.298168 | − | 0.923918i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 39.4191 | + | 10.5623i | 1.64104 | + | 0.439715i | 0.957084 | − | 0.289810i | \(-0.0935920\pi\) |
0.683955 | + | 0.729525i | \(0.260259\pi\) | |||||||
\(578\) | 28.8723 | − | 2.52600i | 1.20093 | − | 0.105068i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.11651 | − | 18.7421i | 0.0878833 | − | 0.778225i | ||||
\(581\) | −0.300004 | + | 0.0528988i | −0.0124463 | + | 0.00219461i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.787178 | − | 8.99749i | −0.0326016 | − | 0.372638i | ||||
\(584\) | −4.51811 | − | 7.82560i | −0.186961 | − | 0.323825i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −18.6831 | + | 32.3600i | −0.771790 | + | 1.33678i | ||||
\(587\) | −11.5098 | − | 5.36709i | −0.475059 | − | 0.221524i | 0.170316 | − | 0.985389i | \(-0.445521\pi\) |
−0.645375 | + | 0.763866i | \(0.723299\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −22.7747 | − | 27.1419i | −0.938416 | − | 1.11836i | ||||
\(590\) | −31.0991 | + | 4.67943i | −1.28033 | + | 0.192649i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −15.7374 | − | 22.4753i | −0.646801 | − | 0.923728i | ||||
\(593\) | 6.50749 | − | 6.50749i | 0.267230 | − | 0.267230i | −0.560753 | − | 0.827983i | \(-0.689488\pi\) |
0.827983 | + | 0.560753i | \(0.189488\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.359720 | + | 1.21885i | −0.0147471 | + | 0.0499679i | ||||
\(596\) | 14.3503 | + | 2.53035i | 0.587813 | + | 0.103647i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 13.1984 | + | 28.3041i | 0.539723 | + | 1.15744i | ||||
\(599\) | 7.62396 | − | 6.39726i | 0.311507 | − | 0.261385i | −0.473608 | − | 0.880736i | \(-0.657049\pi\) |
0.785114 | + | 0.619351i | \(0.212604\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 24.7845 | − | 9.02082i | 1.01098 | − | 0.367967i | 0.217171 | − | 0.976134i | \(-0.430317\pi\) |
0.793809 | + | 0.608167i | \(0.208095\pi\) | |||||||
\(602\) | 1.29013 | − | 0.345688i | 0.0525816 | − | 0.0140892i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4.74386 | − | 2.73887i | 0.193025 | − | 0.111443i | ||||
\(605\) | −17.8983 | + | 11.8723i | −0.727670 | + | 0.482676i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.73315 | − | 4.01440i | −0.232701 | − | 0.162939i | 0.451410 | − | 0.892316i | \(-0.350921\pi\) |
−0.684112 | + | 0.729377i | \(0.739810\pi\) | |||||||
\(608\) | 19.1148 | + | 13.3843i | 0.775207 | + | 0.542806i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 42.6821 | + | 8.63955i | 1.72815 | + | 0.349805i | ||||
\(611\) | −41.0955 | + | 23.7265i | −1.66254 | + | 0.959871i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.76248 | + | 1.00815i | −0.151965 | + | 0.0407189i | −0.334000 | − | 0.942573i | \(-0.608398\pi\) |
0.182034 | + | 0.983292i | \(0.441732\pi\) | |||||||
\(614\) | −20.1841 | + | 7.34642i | −0.814565 | + | 0.296477i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.56859 | − | 1.31620i | 0.0632004 | − | 0.0530314i | ||||
\(617\) | 1.85144 | + | 3.97043i | 0.0745363 | + | 0.159844i | 0.940045 | − | 0.341050i | \(-0.110783\pi\) |
−0.865509 | + | 0.500894i | \(0.833005\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 33.2378 | + | 5.86071i | 1.33594 | + | 0.235562i | 0.795567 | − | 0.605865i | \(-0.207173\pi\) |
0.540371 | + | 0.841427i | \(0.318284\pi\) | |||||||
\(620\) | −17.4427 | − | 5.14789i | −0.700515 | − | 0.206744i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 16.8726 | − | 16.8726i | 0.676528 | − | 0.676528i | ||||
\(623\) | −6.30763 | − | 9.00822i | −0.252710 | − | 0.360907i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.84315 | − | 24.9320i | −0.0737261 | − | 0.997279i | ||||
\(626\) | 33.3240 | + | 39.7140i | 1.33189 | + | 1.58729i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.33821 | + | 3.42186i | 0.292827 | + | 0.136547i | ||||
\(629\) | 1.53603 | − | 2.66048i | 0.0612455 | − | 0.106080i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.7304 | − | 30.7100i | −0.705837 | − | 1.22255i | −0.966389 | − | 0.257086i | \(-0.917238\pi\) |
0.260552 | − | 0.965460i | \(-0.416096\pi\) | |||||||
\(632\) | 1.00174 | + | 11.4500i | 0.0398471 | + | 0.455455i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 36.5900 | − | 6.45180i | 1.45317 | − | 0.256234i | ||||
\(635\) | 30.8557 | − | 24.5939i | 1.22447 | − | 0.975980i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 22.9647 | − | 2.00915i | 0.909894 | − | 0.0796054i | ||||
\(638\) | −16.4377 | − | 4.40448i | −0.650777 | − | 0.174375i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −26.8495 | − | 0.676347i | −1.06132 | − | 0.0267350i | ||||
\(641\) | 9.20207 | + | 25.2825i | 0.363460 | + | 0.998598i | 0.977797 | + | 0.209554i | \(0.0672013\pi\) |
−0.614337 | + | 0.789044i | \(0.710577\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −16.3427 | − | 1.42980i | −0.644495 | − | 0.0563860i | −0.239778 | − | 0.970828i | \(-0.577075\pi\) |
−0.404717 | + | 0.914442i | \(0.632630\pi\) | |||||||
\(644\) | 4.51621 | + | 1.64377i | 0.177964 | + | 0.0647734i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.747838 | + | 4.24120i | −0.0294233 | + | 0.166868i | ||||
\(647\) | −6.34739 | − | 6.34739i | −0.249542 | − | 0.249542i | 0.571241 | − | 0.820783i | \(-0.306462\pi\) |
−0.820783 | + | 0.571241i | \(0.806462\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.56335i | 0.375394i | ||||||||
\(650\) | 24.5733 | + | 22.8237i | 0.963844 | + | 0.895220i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −14.7821 | + | 6.89302i | −0.578913 | + | 0.269951i | ||||
\(653\) | −1.09427 | + | 12.5076i | −0.0428222 | + | 0.489460i | 0.944255 | + | 0.329215i | \(0.106784\pi\) |
−0.987077 | + | 0.160245i | \(0.948772\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.44999 | − | 0.400940i | 0.252022 | − | 0.0156660i | ||||
\(656\) | −24.0399 | − | 13.8794i | −0.938600 | − | 0.541901i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.60792 | + | 20.9290i | −0.218619 | + | 0.815898i | ||||
\(659\) | −7.46847 | − | 6.26679i | −0.290930 | − | 0.244120i | 0.485627 | − | 0.874166i | \(-0.338591\pi\) |
−0.776557 | + | 0.630047i | \(0.783036\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.28597 | − | 41.3208i | −0.283391 | − | 1.60719i | −0.710975 | − | 0.703217i | \(-0.751746\pi\) |
0.427584 | − | 0.903976i | \(-0.359365\pi\) | |||||||
\(662\) | −25.5849 | + | 36.5390i | −0.994386 | + | 1.42013i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.329393 | − | 0.392555i | 0.0127829 | − | 0.0152341i | ||||
\(665\) | 8.57855 | + | 5.24521i | 0.332662 | + | 0.203401i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.99727 | + | 37.3103i | 0.387096 | + | 1.44466i | ||||
\(668\) | 0.182035 | − | 0.390376i | 0.00704315 | − | 0.0151041i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.45228 | − | 5.62454i | −0.0947397 | − | 0.217295i | ||||
\(671\) | 4.52916 | − | 12.4438i | 0.174846 | − | 0.480386i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.99252 | − | 5.59642i | 0.308089 | − | 0.215726i | −0.409299 | − | 0.912401i | \(-0.634227\pi\) |
0.717388 | + | 0.696674i | \(0.245338\pi\) | |||||||
\(674\) | −1.65138 | −0.0636089 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.94572 | −0.0748355 | ||||||||
\(677\) | 34.3309 | − | 24.0388i | 1.31944 | − | 0.923885i | 0.319724 | − | 0.947511i | \(-0.396410\pi\) |
0.999721 | + | 0.0236257i | \(0.00752099\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.77831 | + | 4.88587i | −0.0682453 | + | 0.187502i | ||||
\(680\) | −0.854373 | − | 1.95959i | −0.0327637 | − | 0.0751468i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −6.93465 | + | 14.8714i | −0.265542 | + | 0.569456i | ||||
\(683\) | −5.59914 | − | 20.8963i | −0.214245 | − | 0.799574i | −0.986431 | − | 0.164177i | \(-0.947503\pi\) |
0.772186 | − | 0.635397i | \(-0.219163\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.0656 | + | 9.82303i | 0.613835 | + | 0.375319i | ||||
\(686\) | 14.7000 | − | 17.5188i | 0.561250 | − | 0.668872i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.17216 | + | 3.10216i | −0.0828127 | + | 0.118269i | ||||
\(689\) | −5.12843 | − | 29.0848i | −0.195378 | − | 1.10804i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.0033 | − | 15.9457i | −0.722921 | − | 0.606603i | 0.205270 | − | 0.978705i | \(-0.434193\pi\) |
−0.928192 | + | 0.372102i | \(0.878637\pi\) | |||||||
\(692\) | 2.12605 | − | 7.93453i | 0.0808203 | − | 0.301625i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.06531 | − | 1.76976i | −0.116358 | − | 0.0671791i | ||||
\(695\) | −22.3196 | + | 1.38741i | −0.846629 | + | 0.0526276i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.270886 | − | 3.09624i | 0.0102605 | − | 0.117279i | ||||
\(698\) | 21.2865 | − | 9.92607i | 0.805707 | − | 0.375707i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 5.15764 | − | 0.190385i | 0.194941 | − | 0.00719589i | ||||
\(701\) | 3.89640i | 0.147165i | 0.997289 | + | 0.0735825i | \(0.0234432\pi\) | ||||
−0.997289 | + | 0.0735825i | \(0.976557\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.1875 | − | 17.1875i | −0.648240 | − | 0.648240i | ||||
\(704\) | −0.174119 | + | 0.987476i | −0.00656235 | + | 0.0372169i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 12.1861 | + | 4.43538i | 0.458630 | + | 0.166928i | ||||
\(707\) | 19.6108 | + | 1.71572i | 0.737541 | + | 0.0645264i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.07809 | − | 19.4469i | −0.265823 | − | 0.730343i | −0.998748 | − | 0.0500331i | \(-0.984067\pi\) |
0.732924 | − | 0.680310i | \(-0.238155\pi\) | |||||||
\(710\) | −31.2001 | − | 0.785940i | −1.17092 | − | 0.0294958i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 17.8685 | + | 4.78786i | 0.669652 | + | 0.179433i | ||||
\(713\) | 37.1029 | − | 3.24608i | 1.38951 | − | 0.121567i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.97504 | − | 6.35660i | 0.298250 | − | 0.237723i | ||||
\(716\) | −12.7809 | + | 2.25362i | −0.477645 | + | 0.0842218i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.33246 | + | 15.2301i | 0.0497269 | + | 0.568381i | ||||
\(719\) | 23.2328 | + | 40.2403i | 0.866436 | + | 1.50071i | 0.865614 | + | 0.500712i | \(0.166928\pi\) |
0.000822468 | 1.00000i | \(0.499738\pi\) | ||||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.56817 | − | 13.1085i | 0.281853 | − | 0.488185i | ||||
\(722\) | 0.973719 | + | 0.454053i | 0.0362381 | + | 0.0168981i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 12.0891 | + | 14.4073i | 0.449289 | + | 0.535442i | ||||
\(725\) | 25.0295 | + | 33.0781i | 0.929571 | + | 1.22849i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.7105 | + | 21.0088i | 0.545584 | + | 0.779175i | 0.993369 | − | 0.114966i | \(-0.0366760\pi\) |
−0.447785 | + | 0.894141i | \(0.647787\pi\) | |||||||
\(728\) | 4.73454 | − | 4.73454i | 0.175474 | − | 0.175474i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −19.7093 | − | 5.81682i | −0.729472 | − | 0.215290i | ||||
\(731\) | −0.417580 | − | 0.0736307i | −0.0154448 | − | 0.00272333i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.12205 | + | 2.40624i | 0.0414438 | + | 0.0888766i | 0.925940 | − | 0.377672i | \(-0.123275\pi\) |
−0.884496 | + | 0.466548i | \(0.845497\pi\) | |||||||
\(734\) | −36.3169 | + | 30.4735i | −1.34048 | + | 1.12480i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −23.0499 | + | 8.38947i | −0.849630 | + | 0.309240i | ||||
\(737\) | −1.80228 | + | 0.482919i | −0.0663878 | + | 0.0177886i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −19.4519 | + | 11.2305i | −0.715548 | + | 0.413122i | −0.813112 | − | 0.582107i | \(-0.802228\pi\) |
0.0975639 | + | 0.995229i | \(0.468895\pi\) | |||||||
\(740\) | −12.2285 | − | 2.47524i | −0.449527 | − | 0.0909917i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −11.0464 | − | 7.73477i | −0.405526 | − | 0.283952i | ||||
\(743\) | −25.2126 | − | 17.6540i | −0.924960 | − | 0.647664i | 0.0109359 | − | 0.999940i | \(-0.496519\pi\) |
−0.935896 | + | 0.352276i | \(0.885408\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −26.7057 | + | 17.7144i | −0.978422 | + | 0.649004i | ||||
\(746\) | 18.2856 | − | 10.5572i | 0.669484 | − | 0.386527i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.649300 | − | 0.173979i | 0.0237408 | − | 0.00636132i | ||||
\(749\) | −4.31804 | + | 1.57164i | −0.157778 | + | 0.0574264i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.77858 | − | 4.84881i | 0.210864 | − | 0.176936i | −0.531239 | − | 0.847222i | \(-0.678273\pi\) |
0.742102 | + | 0.670287i | \(0.233829\pi\) | |||||||
\(752\) | −25.9636 | − | 55.6791i | −0.946795 | − | 2.03041i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −54.8008 | − | 9.66287i | −1.99573 | − | 0.351901i | ||||
\(755\) | −3.41000 | + | 11.5542i | −0.124103 | + | 0.420499i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −18.1781 | + | 18.1781i | −0.660696 | + | 0.660696i | −0.955544 | − | 0.294848i | \(-0.904731\pi\) |
0.294848 | + | 0.955544i | \(0.404731\pi\) | |||||||
\(758\) | −22.5748 | − | 32.2402i | −0.819954 | − | 1.17102i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −16.7260 | + | 2.51674i | −0.606717 | + | 0.0912917i | ||||
\(761\) | −19.2569 | − | 22.9494i | −0.698061 | − | 0.831916i | 0.294245 | − | 0.955730i | \(-0.404932\pi\) |
−0.992305 | + | 0.123814i | \(0.960487\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −9.86895 | − | 4.60197i | −0.357280 | − | 0.166602i | ||||
\(764\) | −2.16991 | + | 3.75839i | −0.0785044 | + | 0.135974i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 16.5590 | + | 28.6811i | 0.598302 | + | 1.03629i | ||||
\(767\) | 2.72548 | + | 31.1524i | 0.0984115 | + | 1.12485i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.02410 | − | 0.709557i | 0.145113 | − | 0.0255873i | −0.100620 | − | 0.994925i | \(-0.532083\pi\) |
0.245733 | + | 0.969338i | \(0.420971\pi\) | |||||||
\(770\) | 0.522545 | − | 4.62725i | 0.0188312 | − | 0.166754i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −10.2628 | + | 0.897880i | −0.369367 | + | 0.0323154i | ||||
\(773\) | 38.4073 | + | 10.2912i | 1.38141 | + | 0.370149i | 0.871635 | − | 0.490156i | \(-0.163060\pi\) |
0.509780 | + | 0.860305i | \(0.329727\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 35.6009 | − | 18.2289i | 1.27882 | − | 0.654802i | ||||
\(776\) | −2.99143 | − | 8.21887i | −0.107386 | − | 0.295040i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −26.9882 | − | 2.36116i | −0.967573 | − | 0.0846517i | ||||
\(779\) | −23.1087 | − | 8.41088i | −0.827955 | − | 0.301351i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.64803 | + | 9.34644i | −0.0589711 | + | 0.334442i | ||||
\(782\) | −3.20111 | − | 3.20111i | −0.114471 | − | 0.114471i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 29.8449i | 1.06589i | ||||||||
\(785\) | −16.8811 | + | 5.66700i | −0.602511 | + | 0.202264i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.88315 | − | 2.27705i | 0.174066 | − | 0.0811681i | −0.333632 | − | 0.942703i | \(-0.608274\pi\) |
0.507698 | + | 0.861535i | \(0.330497\pi\) | |||||||
\(788\) | 1.05061 | − | 12.0086i | 0.0374265 | − | 0.427787i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 19.5937 | + | 17.3003i | 0.697112 | + | 0.615517i | ||||
\(791\) | −11.0978 | − | 6.40733i | −0.394593 | − | 0.227818i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 11.2073 | − | 41.8261i | 0.397982 | − | 1.48529i | ||||
\(794\) | 11.8380 | + | 9.93324i | 0.420114 | + | 0.352518i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.03270 | − | 5.85673i | −0.0366031 | − | 0.207586i | ||||
\(797\) | −17.9597 | + | 25.6491i | −0.636165 | + | 0.908538i | −0.999735 | − | 0.0230287i | \(-0.992669\pi\) |
0.363569 | + | 0.931567i | \(0.381558\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.42153 | − | 5.26938i | 0.156423 | − | 0.186417i | ||||
\(800\) | −19.5405 | + | 17.6649i | −0.690860 | + | 0.624547i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.496613 | − | 1.85338i | −0.0175360 | − | 0.0654453i | ||||
\(803\) | −2.64092 | + | 5.66346i | −0.0931959 | + | 0.199859i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −9.68882 | + | 4.22429i | −0.341486 | + | 0.148887i | ||||
\(806\) | −18.3512 | + | 50.4196i | −0.646395 | + | 1.77595i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −27.1260 | + | 18.9939i | −0.954291 | + | 0.668202i | ||||
\(809\) | −4.86947 | −0.171202 | −0.0856008 | − | 0.996330i | \(-0.527281\pi\) | ||||
−0.0856008 | + | 0.996330i | \(0.527281\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.9764 | −0.525893 | −0.262947 | − | 0.964810i | \(-0.584694\pi\) | ||||
−0.262947 | + | 0.964810i | \(0.584694\pi\) | |||||||
\(812\) | −7.01480 | + | 4.91182i | −0.246171 | + | 0.172371i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.85009 | + | 10.5780i | −0.134946 | + | 0.370760i | ||||
\(815\) | 13.1133 | − | 33.3874i | 0.459338 | − | 1.16951i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.41787 | + | 3.04063i | −0.0496049 | + | 0.106378i | ||||
\(818\) | 0.327165 | + | 1.22100i | 0.0114391 | + | 0.0426911i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −12.2710 | + | 2.95893i | −0.428522 | + | 0.103330i | ||||
\(821\) | −2.55907 | + | 3.04978i | −0.0893122 | + | 0.106438i | −0.808850 | − | 0.588015i | \(-0.799909\pi\) |
0.719537 | + | 0.694454i | \(0.244354\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.33088 | − | 13.3259i | 0.325254 | − | 0.464511i | −0.622909 | − | 0.782294i | \(-0.714049\pi\) |
0.948163 | + | 0.317783i | \(0.102938\pi\) | |||||||
\(824\) | 4.42142 | + | 25.0751i | 0.154027 | + | 0.873533i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.9381 | + | 9.17818i | 0.380586 | + | 0.319350i | ||||
\(827\) | 5.10757 | − | 19.0617i | 0.177608 | − | 0.662841i | −0.818485 | − | 0.574528i | \(-0.805186\pi\) |
0.996093 | − | 0.0883130i | \(-0.0281476\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −32.1618 | − | 18.5687i | −1.11703 | − | 0.644916i | −0.176387 | − | 0.984321i | \(-0.556441\pi\) |
−0.940640 | + | 0.339405i | \(0.889774\pi\) | |||||||
\(830\) | −0.0723016 | − | 1.16313i | −0.00250963 | − | 0.0403727i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.285765 | + | 3.26630i | −0.00990711 | + | 0.113239i | ||||
\(833\) | −3.02855 | + | 1.41223i | −0.104933 | + | 0.0489310i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.301471 | + | 0.898032i | 0.0104328 | + | 0.0310777i | ||||
\(836\) | − | 5.31864i | − | 0.183949i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 24.1069 | + | 24.1069i | 0.832759 | + | 0.832759i | ||||
\(839\) | 6.68205 | − | 37.8958i | 0.230690 | − | 1.30831i | −0.620813 | − | 0.783958i | \(-0.713198\pi\) |
0.851503 | − | 0.524349i | \(-0.175691\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −37.4236 | − | 13.6211i | −1.29047 | − | 0.469692i | ||||
\(842\) | −18.2938 | − | 1.60050i | −0.630447 | − | 0.0551570i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 2.47119 | + | 6.78953i | 0.0850618 | + | 0.233705i | ||||
\(845\) | 3.10103 | − | 2.94864i | 0.106679 | − | 0.101436i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 9.41923 | + | 2.52388i | 0.323649 | + | 0.0867214i | ||||
\(848\) | 38.0901 | − | 3.33245i | 1.30802 | − | 0.114437i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.47884 | − | 1.89065i | −0.153623 | − | 0.0648486i | ||||
\(851\) | 25.1627 | − | 4.43686i | 0.862567 | − | 0.152094i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.27769 | − | 37.4642i | −0.112226 | − | 1.28275i | −0.818374 | − | 0.574685i | \(-0.805124\pi\) |
0.706148 | − | 0.708064i | \(-0.250431\pi\) | |||||||
\(854\) | −9.88588 | − | 17.1228i | −0.338288 | − | 0.585932i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.86493 | − | 6.69425i | 0.132100 | − | 0.228805i | ||||
\(857\) | −17.6382 | − | 8.22482i | −0.602509 | − | 0.280954i | 0.0973336 | − | 0.995252i | \(-0.468969\pi\) |
−0.699842 | + | 0.714297i | \(0.746746\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −13.2902 | − | 15.8386i | −0.453454 | − | 0.540406i | 0.490081 | − | 0.871677i | \(-0.336967\pi\) |
−0.943536 | + | 0.331271i | \(0.892523\pi\) | |||||||
\(860\) | 0.256233 | + | 1.70290i | 0.00873746 | + | 0.0580684i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.5469 | − | 23.6315i | −0.563590 | − | 0.804891i | ||||
\(863\) | 1.02957 | − | 1.02957i | 0.0350471 | − | 0.0350471i | −0.689366 | − | 0.724413i | \(-0.742111\pi\) |
0.724413 | + | 0.689366i | \(0.242111\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.63591 | + | 15.8677i | 0.293630 | + | 0.539518i | ||||
\(866\) | −34.6408 | − | 6.10810i | −1.17714 | − | 0.207562i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.48961 | + | 7.48350i | 0.118445 | + | 0.254006i | ||||
\(869\) | 6.08882 | − | 5.10913i | 0.206549 | − | 0.173315i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.73325 | + | 2.08673i | −0.194264 | + | 0.0707063i | ||||
\(872\) | 17.6933 | − | 4.74092i | 0.599172 | − | 0.160548i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −31.0202 | + | 17.9095i | −1.04927 | + | 0.605799i | ||||
\(875\) | −7.93156 | + | 8.11955i | −0.268136 | + | 0.274491i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −47.3607 | − | 33.1623i | −1.59926 | − | 1.11981i | −0.924110 | − | 0.382126i | \(-0.875192\pi\) |
−0.675145 | − | 0.737685i | \(-0.735919\pi\) | |||||||
\(878\) | 16.8718 | + | 11.8138i | 0.569396 | + | 0.398695i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 7.29840 | + | 11.0029i | 0.246029 | + | 0.370907i | ||||
\(881\) | −6.00946 | + | 3.46956i | −0.202464 | + | 0.116893i | −0.597804 | − | 0.801642i | \(-0.703960\pi\) |
0.395340 | + | 0.918535i | \(0.370627\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 14.9527 | − | 4.00657i | 0.503199 | − | 0.134832i | 0.00171481 | − | 0.999999i | \(-0.499454\pi\) |
0.501484 | + | 0.865167i | \(0.332787\pi\) | |||||||
\(884\) | 2.06550 | − | 0.751779i | 0.0694702 | − | 0.0252851i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −29.6420 | + | 24.8726i | −0.995844 | + | 0.835612i | ||||
\(887\) | 16.6122 | + | 35.6250i | 0.557783 | + | 1.19617i | 0.959838 | + | 0.280554i | \(0.0905181\pi\) |
−0.402055 | + | 0.915615i | \(0.631704\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −17.6428 | − | 3.11090i | −0.591720 | − | 0.104336i | ||||
\(890\) | 36.9511 | − | 20.1104i | 1.23860 | − | 0.674104i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.59361 | − | 1.59361i | 0.0533582 | − | 0.0533582i | ||||
\(893\) | −31.2173 | − | 44.5830i | −1.04465 | − | 1.49191i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 16.9546 | − | 22.9605i | 0.566729 | − | 0.767486i | ||||
\(896\) | 7.83830 | + | 9.34132i | 0.261859 | + | 0.312072i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −8.30068 | − | 3.87067i | −0.276997 | − | 0.129166i | ||||
\(899\) | −33.1815 | + | 57.4721i | −1.10667 | + | 1.91680i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.14056 | + | 3.70755i | 0.0713123 | + | 0.123516i | ||||
\(902\) | 0.992605 | + | 11.3455i | 0.0330501 | + | 0.377765i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 21.2290 | − | 3.74324i | 0.706065 | − | 0.124498i | ||||
\(905\) | −41.1007 | − | 4.64141i | −1.36623 | − | 0.154286i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −16.6313 | + | 1.45505i | −0.552232 | + | 0.0483140i | −0.359857 | − | 0.933008i | \(-0.617174\pi\) |
−0.192375 | + | 0.981322i | \(0.561619\pi\) | |||||||
\(908\) | 9.43978 | + | 2.52938i | 0.313270 | + | 0.0839404i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.383449 | − | 15.2221i | 0.0127112 | − | 0.504607i | ||||
\(911\) | −15.5855 | − | 42.8207i | −0.516369 | − | 1.41871i | −0.874493 | − | 0.485038i | \(-0.838806\pi\) |
0.358124 | − | 0.933674i | \(-0.383417\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.353029 | − | 0.0308860i | −0.0116835 | − | 0.00102218i | ||||
\(914\) | −15.6849 | − | 5.70884i | −0.518810 | − | 0.188831i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.77277 | + | 10.0539i | −0.0585740 | + | 0.332190i | ||||
\(917\) | −2.07473 | − | 2.07473i | −0.0685136 | − | 0.0685136i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.56037i | 0.117446i | 0.998274 | + | 0.0587228i | \(0.0187028\pi\) | ||||
−0.998274 | + | 0.0587228i | \(0.981297\pi\) | |||||||
\(920\) | 7.91756 | − | 15.9198i | 0.261034 | − | 0.524861i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −16.9051 | + | 7.88296i | −0.556738 | + | 0.259611i | ||||
\(923\) | −2.70476 | + | 30.9155i | −0.0890281 | + | 1.01760i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 23.2404 | − | 14.5866i | 0.764140 | − | 0.479605i | ||||
\(926\) | 53.8596 | + | 31.0958i | 1.76994 | + | 1.02187i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 11.3121 | − | 42.2172i | 0.371337 | − | 1.38585i | ||||
\(929\) | 9.72612 | + | 8.16118i | 0.319104 | + | 0.267760i | 0.788243 | − | 0.615365i | \(-0.210991\pi\) |
−0.469139 | + | 0.883124i | \(0.655436\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.59122 | + | 26.0381i | 0.150471 | + | 0.853364i | ||||
\(932\) | 7.02055 | − | 10.0264i | 0.229966 | − | 0.328425i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −27.2732 | + | 32.5030i | −0.892407 | + | 1.06353i | ||||
\(935\) | −0.771177 | + | 1.26126i | −0.0252202 | + | 0.0412477i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.23661 | − | 23.2753i | −0.203741 | − | 0.760372i | −0.989830 | − | 0.142258i | \(-0.954564\pi\) |
0.786089 | − | 0.618114i | \(-0.212103\pi\) | |||||||
\(938\) | −1.17735 | + | 2.52484i | −0.0384418 | + | 0.0824388i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −26.0025 | − | 10.2128i | −0.848109 | − | 0.333105i | ||||
\(941\) | 2.96478 | − | 8.14566i | 0.0966490 | − | 0.265541i | −0.881941 | − | 0.471359i | \(-0.843763\pi\) |
0.978590 | + | 0.205819i | \(0.0659857\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 21.1754 | − | 14.8272i | 0.689566 | − | 0.482839i | ||||
\(944\) | −40.4856 | −1.31769 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.55374 | 0.0505165 | ||||||||
\(947\) | 23.3157 | − | 16.3258i | 0.757658 | − | 0.530518i | −0.129726 | − | 0.991550i | \(-0.541410\pi\) |
0.887383 | + | 0.461032i | \(0.152521\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.98868 | + | 19.2012i | −0.226862 | + | 0.623299i | ||||
\(950\) | −23.6214 | + | 30.3584i | −0.766381 | + | 0.984957i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.410189 | + | 0.879652i | −0.0132943 | + | 0.0285097i | ||||
\(953\) | 3.74136 | + | 13.9629i | 0.121194 | + | 0.452304i | 0.999675 | − | 0.0254735i | \(-0.00810933\pi\) |
−0.878481 | + | 0.477777i | \(0.841443\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.23730 | − | 9.27837i | −0.0723975 | − | 0.300241i | ||||
\(956\) | 1.18086 | − | 1.40730i | 0.0381918 | − | 0.0455152i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 40.6627 | − | 58.0723i | 1.31375 | − | 1.87623i | ||||
\(959\) | −1.48462 | − | 8.41972i | −0.0479410 | − | 0.271887i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.2709 | + | 21.2048i | 0.815190 | + | 0.684025i | ||||
\(962\) | −9.52692 | + | 35.5550i | −0.307160 | + | 1.14634i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 14.1690 | + | 8.18045i | 0.456351 | + | 0.263474i | ||||
\(965\) | 14.9959 | − | 16.9838i | 0.482734 | − | 0.546726i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.08098 | + | 23.7858i | −0.0669199 | + | 0.764898i | 0.886397 | + | 0.462926i | \(0.153201\pi\) |
−0.953317 | + | 0.301972i | \(0.902355\pi\) | |||||||
\(968\) | −14.8668 | + | 6.93251i | −0.477838 | + | 0.222819i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −17.8095 | − | 8.85737i | −0.571828 | − | 0.284393i | ||||
\(971\) | 55.0723i | 1.76735i | 0.468098 | + | 0.883676i | \(0.344939\pi\) | ||||
−0.468098 | + | 0.883676i | \(0.655061\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.17940 | + | 7.17940i | 0.230161 | + | 0.230161i | ||||
\(974\) | −10.0337 | + | 56.9040i | −0.321501 | + | 1.82332i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 52.6796 | + | 19.1738i | 1.68623 | + | 0.613738i | ||||
\(977\) | 12.7178 | + | 1.11266i | 0.406878 | + | 0.0355972i | 0.288758 | − | 0.957402i | \(-0.406758\pi\) |
0.118120 | + | 0.992999i | \(0.462313\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −4.37539 | − | 12.0213i | −0.139838 | − | 0.384202i | ||||
\(980\) | 9.35164 | + | 9.83495i | 0.298727 | + | 0.314166i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 8.35043 | + | 2.23749i | 0.266473 | + | 0.0714012i | ||||
\(983\) | −7.16081 | + | 0.626489i | −0.228394 | + | 0.0199819i | −0.200778 | − | 0.979637i | \(-0.564347\pi\) |
−0.0276159 | + | 0.999619i | \(0.508792\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 16.5239 | + | 20.7310i | 0.526494 | + | 0.660544i | ||||
\(986\) | 7.94382 | − | 1.40071i | 0.252983 | − | 0.0446077i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.51577 | − | 17.3254i | −0.0482231 | − | 0.551193i | ||||
\(989\) | −1.76334 | − | 3.05419i | −0.0560708 | − | 0.0971175i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 18.6356 | − | 32.2778i | 0.591979 | − | 1.02534i | −0.401987 | − | 0.915645i | \(-0.631680\pi\) |
0.993966 | − | 0.109692i | \(-0.0349863\pi\) | |||||||
\(992\) | −38.1944 | − | 17.8103i | −1.21267 | − | 0.565478i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 9.10839 | + | 10.8550i | 0.288900 | + | 0.344298i | ||||
\(995\) | 10.5214 | + | 7.76927i | 0.333552 | + | 0.246302i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.5746 | + | 26.5272i | 0.588262 | + | 0.840126i | 0.997379 | − | 0.0723564i | \(-0.0230519\pi\) |
−0.409116 | + | 0.912482i | \(0.634163\pi\) | |||||||
\(998\) | 7.93723 | − | 7.93723i | 0.251249 | − | 0.251249i | ||||
\(999\) | 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 | 405.2.r.a.8.13 | 192 | ||
3.2 | odd | 2 | 135.2.q.a.83.4 | yes | 192 | ||
5.2 | odd | 4 | inner | 405.2.r.a.332.13 | 192 | ||
15.2 | even | 4 | 135.2.q.a.2.4 | ✓ | 192 | ||
15.8 | even | 4 | 675.2.ba.b.407.13 | 192 | |||
15.14 | odd | 2 | 675.2.ba.b.218.13 | 192 | |||
27.13 | even | 9 | 135.2.q.a.68.4 | yes | 192 | ||
27.14 | odd | 18 | inner | 405.2.r.a.233.13 | 192 | ||
135.13 | odd | 36 | 675.2.ba.b.257.13 | 192 | |||
135.67 | odd | 36 | 135.2.q.a.122.4 | yes | 192 | ||
135.94 | even | 18 | 675.2.ba.b.68.13 | 192 | |||
135.122 | even | 36 | inner | 405.2.r.a.152.13 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.2.4 | ✓ | 192 | 15.2 | even | 4 | ||
135.2.q.a.68.4 | yes | 192 | 27.13 | even | 9 | ||
135.2.q.a.83.4 | yes | 192 | 3.2 | odd | 2 | ||
135.2.q.a.122.4 | yes | 192 | 135.67 | odd | 36 | ||
405.2.r.a.8.13 | 192 | 1.1 | even | 1 | trivial | ||
405.2.r.a.152.13 | 192 | 135.122 | even | 36 | inner | ||
405.2.r.a.233.13 | 192 | 27.14 | odd | 18 | inner | ||
405.2.r.a.332.13 | 192 | 5.2 | odd | 4 | inner | ||
675.2.ba.b.68.13 | 192 | 135.94 | even | 18 | |||
675.2.ba.b.218.13 | 192 | 15.14 | odd | 2 | |||
675.2.ba.b.257.13 | 192 | 135.13 | odd | 36 | |||
675.2.ba.b.407.13 | 192 | 15.8 | even | 4 |