Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [531,2,Mod(19,531)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(531, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("531.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 531 = 3^{2} \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 531.i (of order \(29\), degree \(28\), 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: | \(4.24005634733\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | no (minimal twist has level 177) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 163.4 | ||
Character | \(\chi\) | \(=\) | 531.163 |
Dual form | 531.2.i.b.316.4 |
$q$-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 \(\left(\mathbb{Z}/531\mathbb{Z}\right)^\times\).
\(n\) | \(119\) | \(415\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{24}{29}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.992185 | − | 0.596978i | 0.701580 | − | 0.422127i | −0.119580 | − | 0.992825i | \(-0.538155\pi\) |
0.821160 | + | 0.570698i | \(0.193327\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.308769 | + | 0.582400i | −0.154384 | + | 0.291200i | ||||
\(5\) | 0.793835 | − | 0.0863348i | 0.355014 | − | 0.0386101i | 0.0711254 | − | 0.997467i | \(-0.477341\pi\) |
0.283888 | + | 0.958857i | \(0.408375\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.18976 | + | 1.41169i | −1.58358 | + | 0.533570i | −0.967230 | − | 0.253903i | \(-0.918286\pi\) |
−0.616349 | + | 0.787473i | \(0.711389\pi\) | |||||||
\(8\) | 0.166703 | + | 3.07465i | 0.0589383 | + | 1.08705i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.736091 | − | 0.559562i | 0.232772 | − | 0.176949i | ||||
\(11\) | −0.744195 | + | 1.09760i | −0.224383 | + | 0.330940i | −0.923172 | − | 0.384388i | \(-0.874412\pi\) |
0.698789 | + | 0.715328i | \(0.253723\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.28411 | + | 2.16363i | 0.633499 | + | 0.600082i | 0.935543 | − | 0.353212i | \(-0.114911\pi\) |
−0.302045 | + | 0.953294i | \(0.597669\pi\) | |||||||
\(14\) | −3.31426 | + | 3.90185i | −0.885774 | + | 1.04281i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.26104 | + | 1.85990i | 0.315260 | + | 0.464974i | ||||
\(17\) | 7.48680 | + | 2.52260i | 1.81582 | + | 0.611819i | 0.999410 | + | 0.0343397i | \(0.0109328\pi\) |
0.816405 | + | 0.577480i | \(0.195964\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.837472 | + | 5.10835i | 0.192129 | + | 1.17194i | 0.890085 | + | 0.455795i | \(0.150645\pi\) |
−0.697956 | + | 0.716141i | \(0.745907\pi\) | |||||||
\(20\) | −0.194830 | + | 0.488987i | −0.0435654 | + | 0.109341i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0831328 | + | 1.53329i | −0.0177240 | + | 0.326899i | ||||
\(23\) | −0.662011 | − | 2.38435i | −0.138039 | − | 0.497171i | 0.861912 | − | 0.507057i | \(-0.169267\pi\) |
−0.999951 | + | 0.00988634i | \(0.996853\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.26038 | + | 0.937781i | −0.852076 | + | 0.187556i | ||||
\(26\) | 3.55790 | + | 0.783152i | 0.697761 | + | 0.153589i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.471496 | − | 2.87600i | 0.0891045 | − | 0.543513i | ||||
\(29\) | −6.94296 | − | 4.17744i | −1.28928 | − | 0.775732i | −0.304997 | − | 0.952353i | \(-0.598655\pi\) |
−0.984279 | + | 0.176622i | \(0.943483\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.686795 | + | 4.18927i | −0.123352 | + | 0.752414i | 0.850626 | + | 0.525771i | \(0.176223\pi\) |
−0.973978 | + | 0.226643i | \(0.927225\pi\) | |||||||
\(32\) | −3.22765 | − | 1.49327i | −0.570573 | − | 0.263975i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 8.93422 | − | 1.96657i | 1.53221 | − | 0.337264i | ||||
\(35\) | −3.20410 | + | 1.48237i | −0.541591 | + | 0.250567i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.435953 | − | 8.04068i | 0.0716702 | − | 1.32188i | −0.712649 | − | 0.701521i | \(-0.752505\pi\) |
0.784319 | − | 0.620358i | \(-0.213013\pi\) | |||||||
\(38\) | 3.88050 | + | 4.56848i | 0.629500 | + | 0.741105i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.397784 | + | 2.42637i | 0.0628951 | + | 0.383643i | ||||
\(41\) | 1.62041 | − | 5.83619i | 0.253065 | − | 0.911459i | −0.722431 | − | 0.691443i | \(-0.756975\pi\) |
0.975496 | − | 0.220016i | \(-0.0706109\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.39177 | + | 9.42715i | 0.974735 | + | 1.43763i | 0.897704 | + | 0.440598i | \(0.145234\pi\) |
0.0770311 | + | 0.997029i | \(0.475456\pi\) | |||||||
\(44\) | −0.409461 | − | 0.772325i | −0.0617286 | − | 0.116432i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.08024 | − | 1.97051i | −0.306715 | − | 0.290536i | ||||
\(47\) | −3.69898 | − | 0.402288i | −0.539551 | − | 0.0586797i | −0.165714 | − | 0.986174i | \(-0.552993\pi\) |
−0.373837 | + | 0.927494i | \(0.621958\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 9.98853 | − | 7.59308i | 1.42693 | − | 1.08473i | ||||
\(50\) | −3.66725 | + | 3.47380i | −0.518628 | + | 0.491270i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.96536 | + | 0.662206i | −0.272546 | + | 0.0918315i | ||||
\(53\) | 1.10424 | + | 0.839421i | 0.151679 | + | 0.115303i | 0.678261 | − | 0.734821i | \(-0.262734\pi\) |
−0.526582 | + | 0.850124i | \(0.676527\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.496006 | + | 0.935567i | −0.0668815 | + | 0.126152i | ||||
\(56\) | −5.03891 | − | 12.6467i | −0.673352 | − | 1.68999i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.38254 | −1.23199 | ||||||||
\(59\) | 7.67111 | + | 0.392457i | 0.998694 | + | 0.0510936i | ||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.88976 | − | 5.34879i | 1.13822 | − | 0.684843i | 0.183696 | − | 0.982983i | \(-0.441194\pi\) |
0.954522 | + | 0.298140i | \(0.0963664\pi\) | |||||||
\(62\) | 1.81947 | + | 4.56653i | 0.231073 | + | 0.579949i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.56172 | + | 0.931143i | −1.07021 | + | 0.116393i | ||||
\(65\) | 2.00000 | + | 1.52036i | 0.248070 | + | 0.188578i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.0694302 | − | 1.28056i | −0.00848225 | − | 0.156446i | −0.999706 | − | 0.0242504i | \(-0.992280\pi\) |
0.991224 | − | 0.132195i | \(-0.0422027\pi\) | |||||||
\(68\) | −3.78085 | + | 3.58141i | −0.458495 | + | 0.434310i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.29411 | + | 3.38356i | −0.274199 | + | 0.404413i | ||||
\(71\) | −0.433685 | − | 0.0471661i | −0.0514689 | − | 0.00559758i | 0.0823483 | − | 0.996604i | \(-0.473758\pi\) |
−0.133817 | + | 0.991006i | \(0.542724\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.39656 | + | 1.64416i | −0.163455 | + | 0.192434i | −0.837792 | − | 0.545990i | \(-0.816154\pi\) |
0.674337 | + | 0.738424i | \(0.264430\pi\) | |||||||
\(74\) | −4.36756 | − | 8.23809i | −0.507718 | − | 0.957659i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.23369 | − | 1.08956i | −0.370930 | − | 0.124981i | ||||
\(77\) | 1.56851 | − | 5.64927i | 0.178749 | − | 0.643794i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.73950 | + | 4.36581i | −0.195709 | + | 0.491191i | −0.993779 | − | 0.111373i | \(-0.964475\pi\) |
0.798070 | + | 0.602565i | \(0.205854\pi\) | |||||||
\(80\) | 1.16163 | + | 1.36758i | 0.129875 | + | 0.152900i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.87633 | − | 6.75792i | −0.207206 | − | 0.746288i | ||||
\(83\) | 3.34065 | − | 1.54555i | 0.366684 | − | 0.169646i | −0.227890 | − | 0.973687i | \(-0.573183\pi\) |
0.594574 | + | 0.804041i | \(0.297321\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.16107 | + | 1.35615i | 0.668262 | + | 0.147096i | ||||
\(86\) | 11.9696 | + | 5.53773i | 1.29072 | + | 0.597149i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.49881 | − | 2.10516i | −0.372974 | − | 0.224411i | ||||
\(89\) | 5.98712 | + | 3.60233i | 0.634634 | + | 0.381846i | 0.796216 | − | 0.605013i | \(-0.206832\pi\) |
−0.161582 | + | 0.986859i | \(0.551660\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −12.6243 | − | 5.84060i | −1.32338 | − | 0.612261i | ||||
\(92\) | 1.59305 | + | 0.350658i | 0.166087 | + | 0.0365586i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.91022 | + | 1.80906i | −0.403309 | + | 0.186590i | ||||
\(95\) | 1.10584 | + | 3.98289i | 0.113457 | + | 0.408635i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.66777 | − | 7.84990i | −0.677009 | − | 0.797037i | 0.311167 | − | 0.950355i | \(-0.399280\pi\) |
−0.988177 | + | 0.153318i | \(0.951004\pi\) | |||||||
\(98\) | 5.37756 | − | 13.4967i | 0.543216 | − | 1.36337i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.769310 | − | 2.77080i | 0.0769310 | − | 0.277080i | ||||
\(101\) | −0.188243 | − | 0.0634265i | −0.0187309 | − | 0.00631117i | 0.309920 | − | 0.950762i | \(-0.399698\pi\) |
−0.328651 | + | 0.944451i | \(0.606594\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.88236 | − | 5.43671i | −0.284008 | − | 0.535695i | 0.699929 | − | 0.714212i | \(-0.253215\pi\) |
−0.983937 | + | 0.178517i | \(0.942870\pi\) | |||||||
\(104\) | −6.27162 | + | 7.38353i | −0.614983 | + | 0.724014i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.59672 | + | 0.173654i | 0.155088 | + | 0.0168668i | ||||
\(107\) | 5.57926 | − | 8.22880i | 0.539368 | − | 0.795508i | −0.456168 | − | 0.889894i | \(-0.650778\pi\) |
0.995536 | + | 0.0943857i | \(0.0300887\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.79341 | − | 3.59331i | 0.363343 | − | 0.344177i | −0.484148 | − | 0.874986i | \(-0.660871\pi\) |
0.847491 | + | 0.530809i | \(0.178112\pi\) | |||||||
\(110\) | 0.0663829 | + | 1.22436i | 0.00632936 | + | 0.116738i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −7.90906 | − | 6.01231i | −0.747336 | − | 0.568110i | ||||
\(113\) | 7.13771 | − | 0.776273i | 0.671459 | − | 0.0730256i | 0.233963 | − | 0.972246i | \(-0.424831\pi\) |
0.437497 | + | 0.899220i | \(0.355865\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.731380 | − | 1.83563i | −0.0682015 | − | 0.171173i | ||||
\(116\) | 4.57671 | − | 2.75372i | 0.424937 | − | 0.255676i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.84545 | − | 4.19009i | 0.722232 | − | 0.385729i | ||||
\(119\) | −34.9290 | −3.20194 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.42061 | + | 8.58508i | 0.310964 | + | 0.780462i | ||||
\(122\) | 5.62718 | − | 10.6140i | 0.509461 | − | 0.960945i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.22777 | − | 1.69350i | −0.200059 | − | 0.152081i | ||||
\(125\) | −7.08466 | + | 2.38710i | −0.633671 | + | 0.213509i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.3503 | − | 10.7516i | 1.00718 | − | 0.954049i | 0.00823195 | − | 0.999966i | \(-0.497380\pi\) |
0.998945 | + | 0.0459172i | \(0.0146210\pi\) | |||||||
\(128\) | −2.27658 | + | 1.73061i | −0.201223 | + | 0.152966i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.89200 | + | 0.314524i | 0.253645 | + | 0.0275856i | ||||
\(131\) | −6.01093 | − | 5.69385i | −0.525177 | − | 0.497474i | 0.378551 | − | 0.925580i | \(-0.376422\pi\) |
−0.903728 | + | 0.428106i | \(0.859181\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.7202 | − | 20.2205i | −0.929562 | − | 1.75334i | ||||
\(134\) | −0.833356 | − | 1.22911i | −0.0719910 | − | 0.106179i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.50803 | + | 23.4398i | −0.558059 | + | 2.00995i | ||||
\(137\) | 1.85540 | + | 11.3174i | 0.158518 | + | 0.966914i | 0.939547 | + | 0.342420i | \(0.111247\pi\) |
−0.781029 | + | 0.624494i | \(0.785305\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 12.1020 | + | 14.2476i | 1.02648 | + | 1.20847i | 0.977775 | + | 0.209655i | \(0.0672342\pi\) |
0.0487070 | + | 0.998813i | \(0.484490\pi\) | |||||||
\(140\) | 0.125992 | − | 2.32378i | 0.0106482 | − | 0.196395i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.458453 | + | 0.212103i | −0.0384725 | + | 0.0177993i | ||||
\(143\) | −4.07463 | + | 0.896894i | −0.340738 | + | 0.0750020i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.87223 | − | 2.71678i | −0.487662 | − | 0.225616i | ||||
\(146\) | −0.404120 | + | 2.46502i | −0.0334452 | + | 0.204007i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.54828 | + | 2.73661i | 0.373866 | + | 0.224948i | ||||
\(149\) | −2.87916 | + | 17.5621i | −0.235870 | + | 1.43874i | 0.557588 | + | 0.830118i | \(0.311727\pi\) |
−0.793458 | + | 0.608625i | \(0.791722\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.4650 | + | 2.74375i | 1.01439 | + | 0.223283i | 0.690900 | − | 0.722950i | \(-0.257214\pi\) |
0.323485 | + | 0.946233i | \(0.395145\pi\) | |||||||
\(152\) | −15.5668 | + | 3.42651i | −1.26263 | + | 0.277926i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.81623 | − | 6.54149i | −0.146356 | − | 0.527128i | ||||
\(155\) | −0.183523 | + | 3.38488i | −0.0147409 | + | 0.271880i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.26263 | + | 18.2278i | −0.579621 | + | 1.45474i | 0.288057 | + | 0.957613i | \(0.406991\pi\) |
−0.867678 | + | 0.497126i | \(0.834389\pi\) | |||||||
\(158\) | 0.880387 | + | 5.37013i | 0.0700399 | + | 0.427224i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.69114 | − | 0.906750i | −0.212753 | − | 0.0716849i | ||||
\(161\) | 6.13964 | + | 9.05528i | 0.483871 | + | 0.713656i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.48651 | + | 8.81380i | −0.586388 | + | 0.690350i | −0.972713 | − | 0.232013i | \(-0.925469\pi\) |
0.386324 | + | 0.922363i | \(0.373745\pi\) | |||||||
\(164\) | 2.89866 | + | 2.74576i | 0.226347 | + | 0.214408i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.39188 | − | 3.52777i | 0.185646 | − | 0.273808i | ||||
\(167\) | 3.21429 | − | 2.44344i | 0.248729 | − | 0.189079i | −0.473380 | − | 0.880858i | \(-0.656966\pi\) |
0.722109 | + | 0.691780i | \(0.243173\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.167915 | − | 3.09700i | −0.0129165 | − | 0.238231i | ||||
\(170\) | 6.92251 | − | 2.33247i | 0.530933 | − | 0.178892i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.46395 | + | 0.811754i | −0.569121 | + | 0.0618956i | ||||
\(173\) | 3.10214 | − | 5.85125i | 0.235851 | − | 0.444862i | −0.737129 | − | 0.675752i | \(-0.763819\pi\) |
0.972980 | + | 0.230890i | \(0.0741638\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 16.5261 | − | 9.94343i | 1.24926 | − | 0.751652i | ||||
\(176\) | −2.97989 | −0.224618 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.09084 | 0.606434 | ||||||||
\(179\) | −7.43790 | + | 4.47524i | −0.555935 | + | 0.334495i | −0.765639 | − | 0.643270i | \(-0.777577\pi\) |
0.209705 | + | 0.977765i | \(0.432750\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.00529 | − | 5.66857i | 0.223381 | − | 0.421341i | −0.746337 | − | 0.665568i | \(-0.768189\pi\) |
0.969718 | + | 0.244227i | \(0.0785341\pi\) | |||||||
\(182\) | −16.0123 | + | 1.74144i | −1.18691 | + | 0.129084i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.22068 | − | 2.43293i | 0.532315 | − | 0.179358i | ||||
\(185\) | −0.348115 | − | 6.42061i | −0.0255940 | − | 0.472053i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.34045 | + | 6.34024i | −0.609914 | + | 0.463645i | ||||
\(188\) | 1.37642 | − | 2.03007i | 0.100386 | − | 0.148058i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.47489 | + | 3.29159i | 0.252095 | + | 0.238797i | ||||
\(191\) | 16.4433 | − | 19.3585i | 1.18979 | − | 1.40073i | 0.294266 | − | 0.955723i | \(-0.404925\pi\) |
0.895526 | − | 0.445009i | \(-0.146799\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.407806 | + | 0.601468i | 0.0293545 | + | 0.0432946i | 0.842083 | − | 0.539348i | \(-0.181329\pi\) |
−0.812729 | + | 0.582642i | \(0.802019\pi\) | |||||||
\(194\) | −11.3019 | − | 3.80805i | −0.811427 | − | 0.273402i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.33806 | + | 8.16183i | 0.0955760 | + | 0.582988i | ||||
\(197\) | 0.971271 | − | 2.43771i | 0.0692002 | − | 0.173679i | −0.890309 | − | 0.455357i | \(-0.849512\pi\) |
0.959509 | + | 0.281678i | \(0.0908909\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.0527440 | − | 0.972806i | 0.00373892 | − | 0.0689604i | −0.996068 | − | 0.0885868i | \(-0.971765\pi\) |
0.999807 | + | 0.0196264i | \(0.00624769\pi\) | |||||||
\(200\) | −3.59356 | − | 12.9429i | −0.254103 | − | 0.915198i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.224636 | + | 0.0494461i | −0.0158053 | + | 0.00347902i | ||||
\(203\) | 34.9866 | + | 7.70113i | 2.45558 | + | 0.540513i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.782472 | − | 4.77287i | 0.0546502 | − | 0.333351i | ||||
\(206\) | −6.10543 | − | 3.67352i | −0.425386 | − | 0.255946i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.14376 | + | 6.97664i | −0.0793056 | + | 0.483743i | ||||
\(209\) | −6.23019 | − | 2.88239i | −0.430951 | − | 0.199379i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.55199 | + | 0.781851i | −0.244529 | + | 0.0538248i | −0.335544 | − | 0.942025i | \(-0.608920\pi\) |
0.0910148 | + | 0.995850i | \(0.470989\pi\) | |||||||
\(212\) | −0.829833 | + | 0.383922i | −0.0569932 | + | 0.0263679i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.623251 | − | 11.4952i | 0.0426045 | − | 0.785795i | ||||
\(215\) | 5.88790 | + | 6.93177i | 0.401551 | + | 0.472743i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.03645 | − | 18.5215i | −0.206128 | − | 1.25732i | ||||
\(218\) | 1.61864 | − | 5.82981i | 0.109628 | − | 0.394845i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.391723 | − | 0.577748i | −0.0264100 | − | 0.0389518i | ||||
\(221\) | 11.6427 | + | 21.9605i | 0.783175 | + | 1.47722i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.70796 | + | 3.51237i | 0.248304 | + | 0.235206i | 0.801721 | − | 0.597698i | \(-0.203918\pi\) |
−0.553417 | + | 0.832904i | \(0.686677\pi\) | |||||||
\(224\) | 15.6311 | + | 1.69998i | 1.04440 | + | 0.113585i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.61851 | − | 5.03126i | 0.440257 | − | 0.334674i | ||||
\(227\) | −9.29992 | + | 8.80935i | −0.617257 | + | 0.584697i | −0.931094 | − | 0.364780i | \(-0.881144\pi\) |
0.313836 | + | 0.949477i | \(0.398386\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.8942 | − | 7.04007i | 1.38073 | − | 0.465221i | 0.471626 | − | 0.881799i | \(-0.343667\pi\) |
0.909100 | + | 0.416578i | \(0.136771\pi\) | |||||||
\(230\) | −1.82149 | − | 1.38466i | −0.120106 | − | 0.0913019i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 11.6868 | − | 22.0436i | 0.767273 | − | 1.44723i | ||||
\(233\) | −4.30895 | − | 10.8147i | −0.282289 | − | 0.708492i | −0.999927 | − | 0.0120755i | \(-0.996156\pi\) |
0.717638 | − | 0.696416i | \(-0.245223\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.97111 | −0.193814 | ||||||||
\(236\) | −2.59717 | + | 4.34648i | −0.169061 | + | 0.282932i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −34.6560 | + | 20.8518i | −2.24642 | + | 1.35162i | ||||
\(239\) | 4.80006 | + | 12.0472i | 0.310490 | + | 0.779271i | 0.998561 | + | 0.0536279i | \(0.0170785\pi\) |
−0.688071 | + | 0.725643i | \(0.741542\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.3385 | + | 1.55941i | −0.923624 | + | 0.100450i | −0.557557 | − | 0.830139i | \(-0.688261\pi\) |
−0.366066 | + | 0.930589i | \(0.619296\pi\) | |||||||
\(242\) | 8.51898 | + | 6.47596i | 0.547621 | + | 0.416290i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.370254 | + | 6.82894i | 0.0237031 | + | 0.437178i | ||||
\(245\) | 7.27370 | − | 6.89001i | 0.464699 | − | 0.440187i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.13968 | + | 13.4800i | −0.581544 | + | 0.857713i | ||||
\(248\) | −12.9950 | − | 1.41329i | −0.825184 | − | 0.0897442i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.60424 | + | 6.59783i | −0.354444 | + | 0.417283i | ||||
\(251\) | −3.75643 | − | 7.08538i | −0.237104 | − | 0.447225i | 0.736194 | − | 0.676770i | \(-0.236621\pi\) |
−0.973298 | + | 0.229545i | \(0.926276\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.10974 | + | 1.04779i | 0.195508 | + | 0.0658742i | ||||
\(254\) | 4.84315 | − | 17.4434i | 0.303886 | − | 1.09450i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.14976 | − | 12.9249i | 0.321860 | − | 0.807807i | ||||
\(257\) | −16.5510 | − | 19.4853i | −1.03242 | − | 1.21546i | −0.976161 | − | 0.217046i | \(-0.930358\pi\) |
−0.0562614 | − | 0.998416i | \(-0.517918\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.52443 | + | 34.3039i | 0.591820 | + | 2.13154i | ||||
\(260\) | −1.50300 | + | 0.695362i | −0.0932121 | + | 0.0431245i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.36305 | − | 2.06096i | −0.578451 | − | 0.127327i | ||||
\(263\) | −20.8210 | − | 9.63280i | −1.28388 | − | 0.593984i | −0.345117 | − | 0.938560i | \(-0.612161\pi\) |
−0.938758 | + | 0.344576i | \(0.888023\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.949055 | + | 0.571027i | 0.0583000 | + | 0.0350779i | ||||
\(266\) | −22.7076 | − | 13.6627i | −1.39229 | − | 0.837715i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.767238 | + | 0.354962i | 0.0468665 | + | 0.0216828i | ||||
\(269\) | 29.4845 | + | 6.49003i | 1.79770 | + | 0.395704i | 0.982916 | − | 0.184056i | \(-0.0589226\pi\) |
0.814787 | + | 0.579760i | \(0.196854\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.39160 | − | 2.95707i | 0.388262 | − | 0.179629i | −0.216040 | − | 0.976384i | \(-0.569314\pi\) |
0.604302 | + | 0.796755i | \(0.293452\pi\) | |||||||
\(272\) | 4.74940 | + | 17.1058i | 0.287974 | + | 1.03719i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.59716 | + | 10.1214i | 0.519373 | + | 0.611454i | ||||
\(275\) | 2.14124 | − | 5.37411i | 0.129122 | − | 0.324071i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.24669 | + | 15.2952i | −0.255159 | + | 0.919000i | 0.719349 | + | 0.694649i | \(0.244440\pi\) |
−0.974508 | + | 0.224351i | \(0.927974\pi\) | |||||||
\(278\) | 20.5130 | + | 6.91163i | 1.23029 | + | 0.414532i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.09191 | − | 9.60436i | −0.304300 | − | 0.573970i | ||||
\(281\) | −6.91504 | + | 8.14101i | −0.412517 | + | 0.485652i | −0.928703 | − | 0.370824i | \(-0.879075\pi\) |
0.516187 | + | 0.856476i | \(0.327351\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.66278 | − | 0.507108i | −0.277174 | − | 0.0301445i | −0.0315236 | − | 0.999503i | \(-0.510036\pi\) |
−0.245650 | + | 0.969359i | \(0.579001\pi\) | |||||||
\(284\) | 0.161378 | − | 0.238015i | 0.00957602 | − | 0.0141236i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.50736 | + | 3.32235i | −0.207395 | + | 0.196455i | ||||
\(287\) | 1.44979 | + | 26.7397i | 0.0855781 | + | 1.57840i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 36.1551 | + | 27.4844i | 2.12677 | + | 1.61673i | ||||
\(290\) | −7.44819 | + | 0.810040i | −0.437373 | + | 0.0475672i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.526342 | − | 1.32102i | −0.0308019 | − | 0.0773068i | ||||
\(293\) | 8.14496 | − | 4.90066i | 0.475834 | − | 0.286300i | −0.257365 | − | 0.966314i | \(-0.582854\pi\) |
0.733198 | + | 0.680015i | \(0.238027\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.12348 | − | 0.350737i | 0.356523 | − | 0.0204207i | ||||
\(296\) | 24.7949 | 1.44118 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.62752 | + | 19.1436i | 0.441850 | + | 1.10896i | ||||
\(299\) | 3.64673 | − | 6.87847i | 0.210896 | − | 0.397792i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −40.0882 | − | 30.4743i | −2.31065 | − | 1.75651i | ||||
\(302\) | 14.0055 | − | 4.71901i | 0.805927 | − | 0.271548i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −8.44492 | + | 7.99946i | −0.484350 | + | 0.458800i | ||||
\(305\) | 6.59522 | − | 5.01356i | 0.377641 | − | 0.287075i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.36164 | − | 1.01814i | −0.534297 | − | 0.0581083i | −0.163006 | − | 0.986625i | \(-0.552119\pi\) |
−0.371291 | + | 0.928517i | \(0.621085\pi\) | |||||||
\(308\) | 2.80583 | + | 2.65782i | 0.159877 | + | 0.151443i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.83861 | + | 3.46799i | 0.104426 | + | 0.196968i | ||||
\(311\) | −10.1967 | − | 15.0390i | −0.578203 | − | 0.852785i | 0.420306 | − | 0.907383i | \(-0.361923\pi\) |
−0.998508 | + | 0.0545974i | \(0.982612\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.64119 | + | 20.3177i | −0.318859 | + | 1.14843i | 0.614333 | + | 0.789047i | \(0.289425\pi\) |
−0.933192 | + | 0.359379i | \(0.882989\pi\) | |||||||
\(314\) | 3.67574 | + | 22.4210i | 0.207434 | + | 1.26529i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.00554 | − | 2.36111i | −0.112821 | − | 0.132823i | ||||
\(317\) | 0.181796 | − | 3.35302i | 0.0102107 | − | 0.188324i | −0.988978 | − | 0.148060i | \(-0.952697\pi\) |
0.999189 | − | 0.0402646i | \(-0.0128201\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.75210 | − | 4.51180i | 0.546013 | − | 0.252612i | ||||
\(320\) | −6.71620 | + | 1.47835i | −0.375447 | + | 0.0826422i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.4975 | + | 5.31929i | 0.640728 | + | 0.296432i | ||||
\(323\) | −6.61633 | + | 40.3578i | −0.368142 | + | 2.24557i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −11.7602 | − | 7.07588i | −0.652338 | − | 0.392499i | ||||
\(326\) | −2.16636 | + | 13.2142i | −0.119983 | + | 0.731866i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 18.2143 | + | 4.00928i | 1.00572 | + | 0.221376i | ||||
\(329\) | 16.0657 | − | 3.53633i | 0.885731 | − | 0.194964i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.94133 | − | 10.5937i | −0.161670 | − | 0.582282i | −0.999348 | − | 0.0361174i | \(-0.988501\pi\) |
0.837678 | − | 0.546165i | \(-0.183913\pi\) | |||||||
\(332\) | −0.131361 | + | 2.42281i | −0.00720938 | + | 0.132969i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.73049 | − | 4.34320i | 0.0946881 | − | 0.237649i | ||||
\(335\) | −0.165673 | − | 1.01056i | −0.00905170 | − | 0.0552129i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 25.2273 | + | 8.50006i | 1.37422 | + | 0.463028i | 0.907006 | − | 0.421118i | \(-0.138362\pi\) |
0.467212 | + | 0.884146i | \(0.345259\pi\) | |||||||
\(338\) | −2.01544 | − | 2.97256i | −0.109626 | − | 0.161686i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.69217 | + | 3.16947i | −0.146004 | + | 0.171889i | ||||
\(341\) | −4.08705 | − | 3.87146i | −0.221326 | − | 0.209651i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.7626 | + | 20.2983i | −0.743110 | + | 1.09601i | ||||
\(344\) | −27.9197 | + | 21.2240i | −1.50533 | + | 1.14432i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.415173 | − | 7.65742i | −0.0223199 | − | 0.411666i | ||||
\(347\) | 8.50773 | − | 2.86659i | 0.456719 | − | 0.153886i | −0.0815329 | − | 0.996671i | \(-0.525982\pi\) |
0.538252 | + | 0.842784i | \(0.319085\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 21.2727 | − | 2.31354i | 1.13870 | − | 0.123841i | 0.480718 | − | 0.876875i | \(-0.340376\pi\) |
0.657982 | + | 0.753034i | \(0.271410\pi\) | |||||||
\(350\) | 10.4609 | − | 19.7314i | 0.559161 | − | 1.05469i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.04101 | − | 2.43140i | 0.215387 | − | 0.129594i | ||||
\(353\) | −8.75208 | −0.465826 | −0.232913 | − | 0.972498i | \(-0.574826\pi\) | ||||
−0.232913 | + | 0.972498i | \(0.574826\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.348346 | −0.0184883 | ||||||||
\(356\) | −3.94664 | + | 2.37461i | −0.209171 | + | 0.125854i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.70815 | + | 8.88052i | −0.248834 | + | 0.469350i | ||||
\(359\) | −1.85696 | + | 0.201956i | −0.0980065 | + | 0.0106588i | −0.156991 | − | 0.987600i | \(-0.550179\pi\) |
0.0589844 | + | 0.998259i | \(0.481214\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.38848 | + | 2.48947i | −0.388868 | + | 0.131025i | ||||
\(362\) | −0.402212 | − | 7.41836i | −0.0211398 | − | 0.389900i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.29954 | − | 5.54897i | 0.382600 | − | 0.290845i | ||||
\(365\) | −0.966689 | + | 1.42576i | −0.0505988 | + | 0.0746277i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.22928 | − | 7.79518i | −0.429565 | − | 0.406905i | 0.442133 | − | 0.896950i | \(-0.354222\pi\) |
−0.871698 | + | 0.490044i | \(0.836981\pi\) | |||||||
\(368\) | 3.59982 | − | 4.23804i | 0.187654 | − | 0.220923i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.17836 | − | 6.16261i | −0.217222 | − | 0.320379i | ||||
\(371\) | −5.81150 | − | 1.95812i | −0.301718 | − | 0.101661i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.72783 | − | 16.6390i | −0.141242 | − | 0.861537i | −0.958464 | − | 0.285214i | \(-0.907935\pi\) |
0.817222 | − | 0.576323i | \(-0.195513\pi\) | |||||||
\(374\) | −4.49028 | + | 11.2698i | −0.232187 | + | 0.582745i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.620265 | − | 11.4401i | 0.0319877 | − | 0.589979i | ||||
\(377\) | −6.82008 | − | 24.5637i | −0.351252 | − | 1.26510i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.93556 | − | 1.74675i | 0.407622 | − | 0.0897244i | −0.00642610 | − | 0.999979i | \(-0.502046\pi\) |
0.414048 | + | 0.910255i | \(0.364114\pi\) | |||||||
\(380\) | −2.66108 | − | 0.585749i | −0.136511 | − | 0.0300483i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.75816 | − | 29.0235i | 0.243448 | − | 1.48497i | ||||
\(383\) | −24.6615 | − | 14.8383i | −1.26014 | − | 0.758204i | −0.280676 | − | 0.959802i | \(-0.590559\pi\) |
−0.979468 | + | 0.201599i | \(0.935386\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.757412 | − | 4.62001i | 0.0386013 | − | 0.235457i | ||||
\(386\) | 0.763682 | + | 0.353317i | 0.0388704 | + | 0.0179833i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.63058 | − | 1.45950i | 0.336617 | − | 0.0740950i | ||||
\(389\) | 3.20473 | − | 1.48267i | 0.162486 | − | 0.0751742i | −0.336960 | − | 0.941519i | \(-0.609399\pi\) |
0.499447 | + | 0.866345i | \(0.333537\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.05840 | − | 19.5211i | 0.0535258 | − | 0.987226i | ||||
\(392\) | 25.0112 | + | 29.4454i | 1.26326 | + | 1.48722i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.491576 | − | 2.99848i | −0.0247652 | − | 0.151061i | ||||
\(395\) | −1.00395 | + | 3.61591i | −0.0505143 | + | 0.181936i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.77515 | − | 7.04282i | −0.239658 | − | 0.353469i | 0.688771 | − | 0.724979i | \(-0.258151\pi\) |
−0.928429 | + | 0.371510i | \(0.878840\pi\) | |||||||
\(398\) | −0.528412 | − | 0.996690i | −0.0264869 | − | 0.0499595i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.11670 | − | 6.74129i | −0.355835 | − | 0.337065i | ||||
\(401\) | −24.9046 | − | 2.70854i | −1.24368 | − | 0.135258i | −0.537482 | − | 0.843275i | \(-0.680624\pi\) |
−0.706195 | + | 0.708017i | \(0.749590\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −10.6327 | + | 8.08278i | −0.529654 | + | 0.402632i | ||||
\(404\) | 0.0950632 | − | 0.0900486i | 0.00472957 | − | 0.00448009i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 39.3106 | − | 13.2453i | 1.95095 | − | 0.657352i | ||||
\(407\) | 8.50105 | + | 6.46233i | 0.421382 | + | 0.320326i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.67640 | + | 14.4792i | −0.379574 | + | 0.715952i | −0.997529 | − | 0.0702616i | \(-0.977617\pi\) |
0.617955 | + | 0.786214i | \(0.287961\pi\) | |||||||
\(410\) | −2.07294 | − | 5.20268i | −0.102375 | − | 0.256942i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.05633 | 0.199841 | ||||||||
\(413\) | −32.6941 | + | 9.18496i | −1.60877 | + | 0.451962i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.51849 | − | 1.51533i | 0.123628 | − | 0.0743845i | ||||
\(416\) | −4.14143 | − | 10.3942i | −0.203050 | − | 0.509618i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −7.90223 | + | 0.859419i | −0.386511 | + | 0.0420356i | ||||
\(419\) | 17.9264 | + | 13.6273i | 0.875760 | + | 0.665735i | 0.943286 | − | 0.331982i | \(-0.107717\pi\) |
−0.0675257 | + | 0.997718i | \(0.521510\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.51998 | + | 28.0343i | 0.0740791 | + | 1.36631i | 0.765304 | + | 0.643669i | \(0.222589\pi\) |
−0.691225 | + | 0.722640i | \(0.742928\pi\) | |||||||
\(422\) | −3.05748 | + | 2.89620i | −0.148836 | + | 0.140985i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.39684 | + | 3.53508i | −0.116401 | + | 0.171679i | ||||
\(425\) | −34.2623 | − | 3.72625i | −1.66196 | − | 0.180749i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −29.6951 | + | 34.9598i | −1.43705 | + | 1.69182i | ||||
\(428\) | 3.06975 | + | 5.79016i | 0.148382 | + | 0.279878i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 9.98000 | + | 3.36265i | 0.481278 | + | 0.162162i | ||||
\(431\) | 3.64968 | − | 13.1450i | 0.175799 | − | 0.633170i | −0.822157 | − | 0.569261i | \(-0.807229\pi\) |
0.997956 | − | 0.0639092i | \(-0.0203568\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.95391 | + | 4.90393i | −0.0938987 | + | 0.235668i | −0.968423 | − | 0.249314i | \(-0.919795\pi\) |
0.874524 | + | 0.484982i | \(0.161174\pi\) | |||||||
\(434\) | −14.0697 | − | 16.5641i | −0.675366 | − | 0.795102i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.921456 | + | 3.31879i | 0.0441298 | + | 0.158941i | ||||
\(437\) | 11.6257 | − | 5.37861i | 0.556132 | − | 0.257294i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −29.8771 | − | 6.57644i | −1.42595 | − | 0.313876i | −0.566066 | − | 0.824360i | \(-0.691535\pi\) |
−0.859888 | + | 0.510484i | \(0.829466\pi\) | |||||||
\(440\) | −2.95923 | − | 1.36908i | −0.141076 | − | 0.0652685i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 24.6617 | + | 14.8384i | 1.17304 | + | 0.705793i | ||||
\(443\) | 13.4066 | + | 8.06647i | 0.636966 | + | 0.383250i | 0.797102 | − | 0.603845i | \(-0.206366\pi\) |
−0.160135 | + | 0.987095i | \(0.551193\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.06379 | + | 2.34276i | 0.240047 | + | 0.111058i | ||||
\(446\) | 5.77579 | + | 1.27135i | 0.273492 | + | 0.0602001i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 34.5570 | − | 15.9878i | 1.63267 | − | 0.755352i | ||||
\(449\) | 9.31068 | + | 33.5340i | 0.439398 | + | 1.58257i | 0.769515 | + | 0.638629i | \(0.220498\pi\) |
−0.330117 | + | 0.943940i | \(0.607088\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.19993 | + | 6.12183i | 0.244855 | + | 0.288266i | ||||
\(452\) | −1.75180 | + | 4.39669i | −0.0823978 | + | 0.206803i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.96825 | + | 14.2923i | −0.186239 | + | 0.670773i | ||||
\(455\) | −10.5258 | − | 3.54656i | −0.493458 | − | 0.166265i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.79277 | − | 7.15393i | −0.177418 | − | 0.334647i | 0.778814 | − | 0.627255i | \(-0.215822\pi\) |
−0.956232 | + | 0.292608i | \(0.905477\pi\) | |||||||
\(458\) | 16.5281 | − | 19.4584i | 0.772308 | − | 0.909231i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.29490 | + | 0.140828i | 0.0603748 | + | 0.00656616i | ||||
\(461\) | −3.00186 | + | 4.42741i | −0.139811 | + | 0.206205i | −0.891148 | − | 0.453714i | \(-0.850099\pi\) |
0.751337 | + | 0.659919i | \(0.229409\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.09195 | + | 1.98160i | −0.0972214 | + | 0.0920930i | −0.734767 | − | 0.678320i | \(-0.762708\pi\) |
0.637545 | + | 0.770413i | \(0.279950\pi\) | |||||||
\(464\) | −0.985752 | − | 18.1811i | −0.0457624 | − | 0.844038i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.7314 | − | 8.15779i | −0.497122 | − | 0.377902i | ||||
\(467\) | −10.0330 | + | 1.09115i | −0.464272 | + | 0.0504926i | −0.337266 | − | 0.941409i | \(-0.609502\pi\) |
−0.127006 | + | 0.991902i | \(0.540537\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.09866 | + | 5.26724i | 0.0969071 | + | 0.243218i | ||||
\(470\) | −2.94789 | + | 1.77369i | −0.135976 | + | 0.0818140i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.0721257 | + | 23.6514i | 0.00331986 | + | 1.08864i | ||||
\(473\) | −15.1040 | −0.694483 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.35846 | − | 20.9782i | −0.383513 | − | 0.962544i | ||||
\(476\) | 10.7850 | − | 20.3426i | 0.494329 | − | 0.932404i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 11.9545 | + | 9.08756i | 0.546785 | + | 0.415655i | ||||
\(479\) | 37.0448 | − | 12.4818i | 1.69262 | − | 0.570310i | 0.702642 | − | 0.711543i | \(-0.252003\pi\) |
0.989976 | + | 0.141234i | \(0.0451069\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 18.3928 | − | 17.4226i | 0.838639 | − | 0.794401i | ||||
\(482\) | −13.2955 | + | 10.1070i | −0.605594 | + | 0.460360i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.05613 | − | 0.658644i | −0.275279 | − | 0.0299383i | ||||
\(485\) | −5.97083 | − | 5.65587i | −0.271121 | − | 0.256820i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.04378 | − | 15.1722i | −0.364498 | − | 0.687517i | 0.631645 | − | 0.775258i | \(-0.282380\pi\) |
−0.996143 | + | 0.0877408i | \(0.972035\pi\) | |||||||
\(488\) | 17.9276 | + | 26.4412i | 0.811545 | + | 1.19694i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.10367 | − | 11.1784i | 0.140209 | − | 0.504989i | ||||
\(491\) | −5.31911 | − | 32.4451i | −0.240048 | − | 1.46423i | −0.781716 | − | 0.623635i | \(-0.785655\pi\) |
0.541668 | − | 0.840593i | \(-0.317793\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −41.4426 | − | 48.7900i | −1.86648 | − | 2.19739i | ||||
\(494\) | −1.02098 | + | 18.8309i | −0.0459360 | + | 0.847240i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.65768 | + | 4.00547i | −0.388741 | + | 0.179851i | ||||
\(497\) | 1.88362 | − | 0.414616i | 0.0844918 | − | 0.0185981i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −38.9781 | − | 18.0332i | −1.74490 | − | 0.807277i | −0.988135 | − | 0.153589i | \(-0.950917\pi\) |
−0.756765 | − | 0.653687i | \(-0.773221\pi\) | |||||||
\(500\) | 0.797276 | − | 4.86317i | 0.0356553 | − | 0.217487i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.95689 | − | 4.78750i | −0.355133 | − | 0.213677i | ||||
\(503\) | −3.93390 | + | 23.9957i | −0.175404 | + | 1.06992i | 0.741543 | + | 0.670906i | \(0.234095\pi\) |
−0.916946 | + | 0.399010i | \(0.869354\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.154910 | − | 0.0340982i | −0.00689340 | − | 0.00151735i | ||||
\(506\) | 3.71094 | − | 0.816840i | 0.164972 | − | 0.0363130i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.75710 | + | 9.93018i | 0.122327 | + | 0.440580i | ||||
\(509\) | 2.07068 | − | 38.1914i | 0.0917813 | − | 1.69281i | −0.483893 | − | 0.875127i | \(-0.660778\pi\) |
0.575674 | − | 0.817679i | \(-0.304740\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.53020 | − | 8.86012i | 0.156167 | − | 0.391949i | ||||
\(512\) | −3.53167 | − | 21.5422i | −0.156079 | − | 0.952041i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −28.0540 | − | 9.45248i | −1.23741 | − | 0.416931i | ||||
\(515\) | −2.75750 | − | 4.06701i | −0.121510 | − | 0.179214i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.19431 | − | 3.76063i | 0.140486 | − | 0.165392i | ||||
\(518\) | 29.9287 | + | 28.3499i | 1.31499 | + | 1.24562i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.34118 | + | 6.40276i | −0.190373 | + | 0.280780i | ||||
\(521\) | 33.7434 | − | 25.6510i | 1.47832 | − | 1.12379i | 0.514420 | − | 0.857538i | \(-0.328007\pi\) |
0.963903 | − | 0.266254i | \(-0.0857860\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.484092 | + | 8.92856i | 0.0211679 | + | 0.390419i | 0.989850 | + | 0.142115i | \(0.0453903\pi\) |
−0.968682 | + | 0.248304i | \(0.920127\pi\) | |||||||
\(524\) | 5.17209 | − | 1.74268i | 0.225944 | − | 0.0761293i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −26.4088 | + | 2.87213i | −1.15148 | + | 0.125231i | ||||
\(527\) | −15.7097 | + | 29.6317i | −0.684326 | + | 1.29078i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.4609 | − | 8.70081i | 0.628733 | − | 0.378296i | ||||
\(530\) | 1.28253 | 0.0557095 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 15.0865 | 0.654082 | ||||||||
\(533\) | 16.3285 | − | 9.82454i | 0.707267 | − | 0.425548i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.71858 | − | 7.01399i | 0.160768 | − | 0.303241i | ||||
\(536\) | 3.92571 | − | 0.426947i | 0.169565 | − | 0.0184413i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 33.1285 | − | 11.1623i | 1.42827 | − | 0.481240i | ||||
\(539\) | 0.900795 | + | 16.6142i | 0.0388000 | + | 0.715624i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3.00212 | + | 2.28215i | −0.129071 | + | 0.0981174i | −0.667718 | − | 0.744414i | \(-0.732729\pi\) |
0.538647 | + | 0.842532i | \(0.318936\pi\) | |||||||
\(542\) | 4.57634 | − | 6.74960i | 0.196571 | − | 0.289920i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −20.3978 | − | 19.3218i | −0.874549 | − | 0.828417i | ||||
\(545\) | 2.70112 | − | 3.18000i | 0.115703 | − | 0.136216i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.9910 | − | 20.6352i | −0.598214 | − | 0.882300i | 0.401219 | − | 0.915982i | \(-0.368587\pi\) |
−0.999433 | + | 0.0336828i | \(0.989276\pi\) | |||||||
\(548\) | −7.16417 | − | 2.41389i | −0.306038 | − | 0.103116i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.08372 | − | 6.61038i | −0.0462098 | − | 0.281868i | ||||
\(551\) | 15.5253 | − | 38.9656i | 0.661400 | − | 1.65999i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.12489 | − | 20.7473i | 0.0478350 | − | 0.882265i | ||||
\(554\) | 4.91739 | + | 17.7109i | 0.208920 | + | 0.752462i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −12.0346 | + | 2.64901i | −0.510379 | + | 0.112343i | ||||
\(557\) | −36.6543 | − | 8.06823i | −1.55309 | − | 0.341862i | −0.646183 | − | 0.763183i | \(-0.723636\pi\) |
−0.906912 | + | 0.421321i | \(0.861567\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.79732 | + | 35.3621i | −0.245200 | + | 1.49566i | ||||
\(560\) | −6.79756 | − | 4.08996i | −0.287250 | − | 0.172832i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.00099 | + | 12.2055i | −0.0844067 | + | 0.514858i | ||||
\(563\) | 3.18405 | + | 1.47310i | 0.134192 | + | 0.0620837i | 0.485836 | − | 0.874050i | \(-0.338515\pi\) |
−0.351644 | + | 0.936134i | \(0.614377\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.59914 | − | 1.23246i | 0.235558 | − | 0.0518502i | ||||
\(566\) | −4.92908 | + | 2.28043i | −0.207184 | + | 0.0958537i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.0727227 | − | 1.34129i | 0.00305138 | − | 0.0562793i | ||||
\(569\) | 9.96616 | + | 11.7331i | 0.417803 | + | 0.491876i | 0.930293 | − | 0.366817i | \(-0.119553\pi\) |
−0.512490 | + | 0.858693i | \(0.671277\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.59746 | − | 34.1430i | −0.234246 | − | 1.42884i | −0.797881 | − | 0.602815i | \(-0.794046\pi\) |
0.563635 | − | 0.826024i | \(-0.309402\pi\) | |||||||
\(572\) | 0.735768 | − | 2.65000i | 0.0307640 | − | 0.110802i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 17.4015 | + | 25.6652i | 0.726323 | + | 1.07125i | ||||
\(575\) | 5.05642 | + | 9.53742i | 0.210867 | + | 0.397738i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.20125 | − | 6.82139i | −0.299792 | − | 0.283978i | 0.522986 | − | 0.852342i | \(-0.324818\pi\) |
−0.822778 | + | 0.568363i | \(0.807577\pi\) | |||||||
\(578\) | 52.2801 | + | 5.68580i | 2.17456 | + | 0.236498i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.39541 | − | 2.58113i | 0.140987 | − | 0.107175i | ||||
\(581\) | −11.8147 | + | 11.1915i | −0.490155 | + | 0.464300i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.74312 | + | 0.587326i | −0.0721927 | + | 0.0243245i | ||||
\(584\) | −5.28801 | − | 4.01984i | −0.218819 | − | 0.166342i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.15572 | − | 9.72472i | 0.212981 | − | 0.401724i | ||||
\(587\) | −10.6872 | − | 26.8227i | −0.441106 | − | 1.10709i | −0.966599 | − | 0.256295i | \(-0.917498\pi\) |
0.525493 | − | 0.850798i | \(-0.323881\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −21.9754 | −0.905481 | ||||||||
\(590\) | 5.86624 | − | 4.00358i | 0.241509 | − | 0.164825i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 15.5046 | − | 9.32880i | 0.637235 | − | 0.383411i | ||||
\(593\) | 0.0333929 | + | 0.0838098i | 0.00137128 | + | 0.00344166i | 0.929661 | − | 0.368417i | \(-0.120100\pi\) |
−0.928289 | + | 0.371858i | \(0.878721\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −27.7279 | + | 3.01559i | −1.13673 | + | 0.123627i | ||||
\(596\) | −9.33916 | − | 7.09945i | −0.382547 | − | 0.290805i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.488059 | − | 9.00173i | −0.0199582 | − | 0.368108i | ||||
\(599\) | −4.53741 | + | 4.29806i | −0.185393 | + | 0.175614i | −0.774767 | − | 0.632246i | \(-0.782133\pi\) |
0.589374 | + | 0.807860i | \(0.299374\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.938158 | + | 1.38368i | −0.0382683 | + | 0.0564415i | −0.846342 | − | 0.532640i | \(-0.821200\pi\) |
0.808074 | + | 0.589082i | \(0.200510\pi\) | |||||||
\(602\) | −57.9673 | − | 6.30433i | −2.36257 | − | 0.256945i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −5.44676 | + | 6.41242i | −0.221625 | + | 0.260918i | ||||
\(605\) | 3.45659 | + | 6.51982i | 0.140530 | + | 0.265068i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.934319 | + | 0.314809i | 0.0379228 | + | 0.0127777i | 0.338199 | − | 0.941075i | \(-0.390182\pi\) |
−0.300276 | + | 0.953852i | \(0.597079\pi\) | |||||||
\(608\) | 4.92507 | − | 17.7385i | 0.199738 | − | 0.719392i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.55069 | − | 8.91157i | 0.143763 | − | 0.360819i | ||||
\(611\) | −7.57847 | − | 8.92207i | −0.306592 | − | 0.360948i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.47497 | + | 19.7190i | 0.221132 | + | 0.796445i | 0.987975 | + | 0.154611i | \(0.0494123\pi\) |
−0.766844 | + | 0.641834i | \(0.778174\pi\) | |||||||
\(614\) | −9.89628 | + | 4.57851i | −0.399381 | + | 0.184774i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 17.6310 | + | 3.88088i | 0.710373 | + | 0.156365i | ||||
\(617\) | 7.96916 | + | 3.68693i | 0.320826 | + | 0.148430i | 0.573692 | − | 0.819071i | \(-0.305511\pi\) |
−0.252865 | + | 0.967502i | \(0.581373\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.28427 | + | 4.98448i | 0.332973 | + | 0.200343i | 0.672215 | − | 0.740356i | \(-0.265343\pi\) |
−0.339242 | + | 0.940699i | \(0.610171\pi\) | |||||||
\(620\) | −1.91469 | − | 1.15203i | −0.0768957 | − | 0.0462666i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −19.0950 | − | 8.83428i | −0.765639 | − | 0.354222i | ||||
\(623\) | −30.1700 | − | 6.64091i | −1.20873 | − | 0.266063i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.3779 | − | 6.65195i | 0.575118 | − | 0.266078i | ||||
\(626\) | 6.53213 | + | 23.5266i | 0.261076 | + | 0.940312i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −8.37342 | − | 9.85795i | −0.334136 | − | 0.393375i | ||||
\(629\) | 23.5473 | − | 59.0992i | 0.938891 | − | 2.35644i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.67131 | + | 9.62119i | −0.106343 | + | 0.383014i | −0.997499 | − | 0.0706843i | \(-0.977482\pi\) |
0.891156 | + | 0.453698i | \(0.149896\pi\) | |||||||
\(632\) | −13.7133 | − | 4.62055i | −0.545486 | − | 0.183796i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.82130 | − | 3.43534i | −0.0723332 | − | 0.136435i | ||||
\(635\) | 8.08204 | − | 9.51491i | 0.320726 | − | 0.377588i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 39.2435 | + | 4.26799i | 1.55488 | + | 0.169104i | ||||
\(638\) | 6.98244 | − | 10.2983i | 0.276437 | − | 0.407714i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.65782 | + | 1.57037i | −0.0655310 | + | 0.0620742i | ||||
\(641\) | 1.42450 | + | 26.2733i | 0.0562642 | + | 1.03773i | 0.881272 | + | 0.472610i | \(0.156688\pi\) |
−0.825008 | + | 0.565122i | \(0.808829\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.57009 | + | 3.47409i | 0.180227 | + | 0.137005i | 0.691398 | − | 0.722474i | \(-0.256995\pi\) |
−0.511171 | + | 0.859479i | \(0.670788\pi\) | |||||||
\(644\) | −7.16953 | + | 0.779733i | −0.282519 | + | 0.0307258i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 17.5281 | + | 43.9922i | 0.689633 | + | 1.73085i | ||||
\(647\) | −1.57126 | + | 0.945395i | −0.0617726 | + | 0.0371673i | −0.546105 | − | 0.837717i | \(-0.683890\pi\) |
0.484333 | + | 0.874884i | \(0.339062\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.13956 | + | 8.12779i | −0.240999 | + | 0.319044i | ||||
\(650\) | −15.8924 | −0.623352 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.82155 | − | 7.08157i | −0.110501 | − | 0.277336i | ||||
\(653\) | −16.4492 | + | 31.0265i | −0.643707 | + | 1.21416i | 0.320056 | + | 0.947399i | \(0.396298\pi\) |
−0.963763 | + | 0.266762i | \(0.914046\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.26326 | − | 4.00103i | −0.205653 | − | 0.156333i | ||||
\(656\) | 12.8981 | − | 4.34588i | 0.503587 | − | 0.169678i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 13.8290 | − | 13.0996i | 0.539112 | − | 0.510674i | ||||
\(659\) | 12.7676 | − | 9.70566i | 0.497354 | − | 0.378079i | −0.326214 | − | 0.945296i | \(-0.605773\pi\) |
0.823568 | + | 0.567217i | \(0.191980\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.0604 | + | 1.74667i | 0.624677 | + | 0.0679377i | 0.414983 | − | 0.909829i | \(-0.363788\pi\) |
0.209694 | + | 0.977767i | \(0.432753\pi\) | |||||||
\(662\) | −9.24254 | − | 8.75500i | −0.359222 | − | 0.340273i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.30892 | + | 10.0137i | 0.206026 | + | 0.388606i | ||||
\(665\) | −10.2558 | − | 15.1262i | −0.397704 | − | 0.586569i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.36416 | + | 19.3200i | −0.207701 | + | 0.748072i | ||||
\(668\) | 0.430586 | + | 2.62646i | 0.0166599 | + | 0.101621i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.767662 | − | 0.903761i | −0.0296574 | − | 0.0349153i | ||||
\(671\) | −0.744852 | + | 13.7380i | −0.0287547 | + | 0.530349i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31.4438 | − | 14.5475i | 1.21207 | − | 0.560763i | 0.293476 | − | 0.955966i | \(-0.405188\pi\) |
0.918594 | + | 0.395203i | \(0.129326\pi\) | |||||||
\(674\) | 30.1045 | − | 6.62649i | 1.15958 | − | 0.255243i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.85554 | + | 0.858465i | 0.0713670 | + | 0.0330179i | ||||
\(677\) | 5.73680 | − | 34.9929i | 0.220483 | − | 1.34489i | −0.612009 | − | 0.790851i | \(-0.709638\pi\) |
0.832492 | − | 0.554037i | \(-0.186913\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 39.0180 | + | 23.4763i | 1.49737 | + | 0.900939i | ||||
\(680\) | −3.14263 | + | 19.1692i | −0.120514 | + | 0.735106i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −6.36628 | − | 1.40132i | −0.243777 | − | 0.0536595i | ||||
\(683\) | −48.6714 | + | 10.7134i | −1.86236 | + | 0.409936i | −0.995990 | − | 0.0894664i | \(-0.971484\pi\) |
−0.866370 | + | 0.499403i | \(0.833553\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.44997 | + | 8.82400i | 0.0936086 | + | 0.337148i | ||||
\(686\) | −1.53740 | + | 28.3556i | −0.0586981 | + | 1.08262i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −9.47325 | + | 23.7761i | −0.361164 | + | 0.906454i | ||||
\(689\) | 0.706013 | + | 4.30649i | 0.0268970 | + | 0.164064i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −28.1356 | − | 9.47999i | −1.07033 | − | 0.360636i | −0.271652 | − | 0.962396i | \(-0.587570\pi\) |
−0.798677 | + | 0.601760i | \(0.794466\pi\) | |||||||
\(692\) | 2.44992 | + | 3.61337i | 0.0931321 | + | 0.137360i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.72995 | − | 7.92311i | 0.255465 | − | 0.300757i | ||||
\(695\) | 10.8371 | + | 10.2654i | 0.411075 | + | 0.389391i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 26.8540 | − | 39.6067i | 1.01717 | − | 1.50021i | ||||
\(698\) | 19.7253 | − | 14.9948i | 0.746613 | − | 0.567560i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.688304 | + | 12.6950i | 0.0260155 | + | 0.479827i | ||||
\(701\) | −25.8068 | + | 8.69531i | −0.974708 | + | 0.328417i | −0.761195 | − | 0.648523i | \(-0.775387\pi\) |
−0.213513 | + | 0.976940i | \(0.568490\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 41.4397 | − | 4.50684i | 1.56293 | − | 0.169979i | ||||
\(704\) | 5.34956 | − | 10.0903i | 0.201619 | − | 0.380294i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −8.68368 | + | 5.22479i | −0.326814 | + | 0.196638i | ||||
\(707\) | 0.878231 | 0.0330293 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 26.0629 | 0.978812 | 0.489406 | − | 0.872056i | \(-0.337214\pi\) | ||||
0.489406 | + | 0.872056i | \(0.337214\pi\) | |||||||
\(710\) | −0.345624 | + | 0.207955i | −0.0129710 | + | 0.00780441i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −10.0778 | + | 19.0088i | −0.377683 | + | 0.712386i | ||||
\(713\) | 10.4433 | − | 1.13578i | 0.391106 | − | 0.0425353i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.15715 | + | 1.06377i | −0.118071 | + | 0.0397827i | ||||
\(716\) | −0.309785 | − | 5.71365i | −0.0115772 | − | 0.213529i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.72188 | + | 1.30894i | −0.0642600 | + | 0.0488492i | ||||
\(719\) | −24.8663 | + | 36.6750i | −0.927356 | + | 1.36775i | 0.00256756 | + | 0.999997i | \(0.499183\pi\) |
−0.929924 | + | 0.367752i | \(0.880128\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 19.7514 | + | 18.7095i | 0.735579 | + | 0.696778i | ||||
\(722\) | −5.84458 | + | 6.88077i | −0.217513 | + | 0.256076i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.37344 | + | 3.50056i | 0.0882081 | + | 0.130097i | ||||
\(725\) | 33.4972 | + | 11.2865i | 1.24405 | + | 0.419171i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.96185 | + | 18.0665i | 0.109849 | + | 0.670049i | 0.983141 | + | 0.182851i | \(0.0585326\pi\) |
−0.873292 | + | 0.487198i | \(0.838019\pi\) | |||||||
\(728\) | 15.8533 | − | 39.7888i | 0.587562 | − | 1.47467i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.107987 | + | 1.99171i | −0.00399679 | + | 0.0737165i | ||||
\(731\) | 24.0730 | + | 86.7030i | 0.890371 | + | 3.20683i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −32.1939 | + | 7.08642i | −1.18911 | + | 0.261743i | −0.765098 | − | 0.643914i | \(-0.777309\pi\) |
−0.424012 | + | 0.905657i | \(0.639378\pi\) | |||||||
\(734\) | −12.8185 | − | 2.82157i | −0.473140 | − | 0.104146i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.42373 | + | 8.68439i | −0.0524795 | + | 0.320111i | ||||
\(737\) | 1.45722 | + | 0.876782i | 0.0536775 | + | 0.0322967i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.02035 | + | 18.4233i | −0.111106 | + | 0.677714i | 0.871271 | + | 0.490802i | \(0.163296\pi\) |
−0.982377 | + | 0.186912i | \(0.940152\pi\) | |||||||
\(740\) | 3.84685 | + | 1.77974i | 0.141413 | + | 0.0654246i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −6.93503 | + | 1.52652i | −0.254593 | + | 0.0560402i | ||||
\(743\) | −42.5593 | + | 19.6900i | −1.56135 | + | 0.722357i | −0.994817 | − | 0.101683i | \(-0.967577\pi\) |
−0.566531 | + | 0.824040i | \(0.691715\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.769358 | + | 14.1900i | −0.0281871 | + | 0.519880i | ||||
\(746\) | −12.6397 | − | 14.8805i | −0.462771 | − | 0.544816i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.11729 | − | 6.81515i | −0.0408520 | − | 0.249186i | ||||
\(749\) | −11.7592 | + | 42.3529i | −0.429672 | + | 1.54754i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.750798 | + | 1.10734i | 0.0273970 | + | 0.0404075i | 0.841141 | − | 0.540816i | \(-0.181885\pi\) |
−0.813744 | + | 0.581224i | \(0.802574\pi\) | |||||||
\(752\) | −3.91635 | − | 7.38702i | −0.142815 | − | 0.269377i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −21.4308 | − | 20.3003i | −0.780463 | − | 0.739294i | ||||
\(755\) | 10.1320 | + | 1.10192i | 0.368742 | + | 0.0401031i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 18.7522 | − | 14.2551i | 0.681561 | − | 0.518109i | −0.206144 | − | 0.978522i | \(-0.566092\pi\) |
0.887705 | + | 0.460413i | \(0.152299\pi\) | |||||||
\(758\) | 6.83077 | − | 6.47045i | 0.248105 | − | 0.235017i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −12.0616 | + | 4.06404i | −0.437521 | + | 0.147418i | ||||
\(761\) | 36.4550 | + | 27.7124i | 1.32149 | + | 1.00457i | 0.998303 | + | 0.0582398i | \(0.0185488\pi\) |
0.323191 | + | 0.946334i | \(0.395244\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −10.8208 | + | 20.4102i | −0.391740 | + | 0.738900i | ||||
\(764\) | 6.19722 | + | 15.5539i | 0.224208 | + | 0.562719i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −33.3269 | −1.20415 | ||||||||
\(767\) | 16.6726 | + | 17.4938i | 0.602011 | + | 0.631666i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.84073 | − | 4.11593i | 0.246683 | − | 0.148424i | −0.386843 | − | 0.922146i | \(-0.626434\pi\) |
0.633526 | + | 0.773721i | \(0.281607\pi\) | |||||||
\(770\) | −2.00655 | − | 5.03606i | −0.0723110 | − | 0.181487i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.476213 | + | 0.0517913i | −0.0171393 | + | 0.00186401i | ||||
\(773\) | −32.9287 | − | 25.0317i | −1.18436 | − | 0.900328i | −0.187721 | − | 0.982222i | \(-0.560110\pi\) |
−0.996641 | + | 0.0818941i | \(0.973903\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.00260 | − | 18.4919i | −0.0360146 | − | 0.664250i | ||||
\(776\) | 23.0242 | − | 21.8097i | 0.826520 | − | 0.782921i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.29457 | − | 3.38423i | 0.0822642 | − | 0.121331i | ||||
\(779\) | 31.1703 | + | 3.38998i | 1.11679 | + | 0.121459i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.374516 | − | 0.440914i | 0.0134012 | − | 0.0157771i | ||||
\(782\) | −10.6035 | − | 20.0004i | −0.379182 | − | 0.715213i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 26.7183 | + | 9.00245i | 0.954225 | + | 0.321516i | ||||
\(785\) | −4.19164 | + | 15.0969i | −0.149606 | + | 0.538832i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.31562 | − | 10.8314i | 0.153835 | − | 0.386097i | −0.831779 | − | 0.555106i | \(-0.812678\pi\) |
0.985614 | + | 0.169009i | \(0.0540568\pi\) | |||||||
\(788\) | 1.11982 | + | 1.31836i | 0.0398920 | + | 0.0469645i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.16251 | + | 4.18699i | 0.0413603 | + | 0.148966i | ||||
\(791\) | −28.8094 | + | 13.3286i | −1.02434 | + | 0.473912i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 31.8780 | + | 7.01688i | 1.13202 | + | 0.249177i | ||||
\(794\) | −8.94224 | − | 4.13712i | −0.317348 | − | 0.146821i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.550276 | + | 0.331090i | 0.0195040 | + | 0.0117352i | ||||
\(797\) | −47.1170 | − | 28.3494i | −1.66897 | − | 1.00419i | −0.951526 | − | 0.307570i | \(-0.900484\pi\) |
−0.717444 | − | 0.696616i | \(-0.754688\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −26.6787 | − | 12.3429i | −0.943823 | − | 0.436659i | ||||
\(800\) | 15.1514 | + | 3.33507i | 0.535682 | + | 0.117912i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −26.3269 | + | 12.1801i | −0.929636 | + | 0.430095i | ||||
\(803\) | −0.765322 | − | 2.75644i | −0.0270076 | − | 0.0972727i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.65564 | + | 6.65834i | 0.199335 | + | 0.234676i | ||||
\(806\) | −5.72438 | + | 14.3671i | −0.201633 | + | 0.506060i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.163634 | − | 0.589355i | 0.00575661 | − | 0.0207334i | ||||
\(809\) | −28.7012 | − | 9.67056i | −1.00908 | − | 0.339999i | −0.234256 | − | 0.972175i | \(-0.575265\pi\) |
−0.774825 | + | 0.632176i | \(0.782162\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.12872 | + | 13.4462i | 0.250323 | + | 0.472160i | 0.976549 | − | 0.215297i | \(-0.0690720\pi\) |
−0.726225 | + | 0.687457i | \(0.758727\pi\) | |||||||
\(812\) | −15.2879 | + | 17.9983i | −0.536500 | + | 0.631617i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.2925 | + | 1.33689i | 0.430851 | + | 0.0468579i | ||||
\(815\) | −5.18211 | + | 7.64305i | −0.181522 | + | 0.267724i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −42.8043 | + | 40.5464i | −1.49753 | + | 1.41854i | ||||
\(818\) | 1.02737 | + | 18.9487i | 0.0359211 | + | 0.662526i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.53811 | + | 1.92942i | 0.0886348 | + | 0.0673784i | ||||
\(821\) | −4.41732 | + | 0.480413i | −0.154166 | + | 0.0167665i | −0.184876 | − | 0.982762i | \(-0.559188\pi\) |
0.0307107 | + | 0.999528i | \(0.490223\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.28245 | + | 15.7678i | 0.218992 | + | 0.549629i | 0.996894 | − | 0.0787568i | \(-0.0250951\pi\) |
−0.777901 | + | 0.628386i | \(0.783716\pi\) | |||||||
\(824\) | 16.2355 | − | 9.76857i | 0.565590 | − | 0.340304i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −26.9554 | + | 28.6308i | −0.937898 | + | 0.996194i | ||||
\(827\) | 31.3425 | 1.08988 | 0.544942 | − | 0.838474i | \(-0.316552\pi\) | ||||
0.544942 | + | 0.838474i | \(0.316552\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.84002 | − | 22.1868i | −0.307027 | − | 0.770579i | −0.998824 | − | 0.0484870i | \(-0.984560\pi\) |
0.691797 | − | 0.722092i | \(-0.256819\pi\) | |||||||
\(830\) | 1.59419 | − | 3.00697i | 0.0553353 | − | 0.104373i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −21.5706 | − | 16.3975i | −0.747825 | − | 0.568482i | ||||
\(833\) | 93.9364 | − | 31.6508i | 3.25470 | − | 1.09664i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.34066 | − | 2.21719i | 0.0810019 | − | 0.0767291i | ||||
\(836\) | 3.60240 | − | 2.73847i | 0.124591 | − | 0.0947120i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 25.9214 | + | 2.81913i | 0.895441 | + | 0.0973851i | ||||
\(839\) | 10.2400 | + | 9.69986i | 0.353525 | + | 0.334876i | 0.843767 | − | 0.536710i | \(-0.180333\pi\) |
−0.490242 | + | 0.871586i | \(0.663092\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.1699 | + | 32.3858i | 0.592064 | + | 1.11675i | ||||
\(842\) | 18.2440 | + | 26.9078i | 0.628729 | + | 0.927305i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.641393 | − | 2.31009i | 0.0220776 | − | 0.0795165i | ||||
\(845\) | −0.400676 | − | 2.44401i | −0.0137837 | − | 0.0840766i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −26.4510 | − | 31.1405i | −0.908868 | − | 1.07000i | ||||
\(848\) | −0.168745 | + | 3.11232i | −0.00579472 | + | 0.106877i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −36.2190 | + | 16.7567i | −1.24230 | + | 0.574749i | ||||
\(851\) | −19.4604 | + | 4.28356i | −0.667093 | + | 0.146838i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.49931 | − | 2.08160i | −0.154053 | − | 0.0712727i | 0.341347 | − | 0.939937i | \(-0.389117\pi\) |
−0.495401 | + | 0.868664i | \(0.664979\pi\) | |||||||
\(854\) | −8.59281 | + | 52.4138i | −0.294040 | + | 1.79356i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 26.2308 | + | 15.7825i | 0.896549 | + | 0.539435i | ||||
\(857\) | 6.72149 | − | 40.9993i | 0.229602 | − | 1.40051i | −0.580519 | − | 0.814247i | \(-0.697150\pi\) |
0.810121 | − | 0.586263i | \(-0.199401\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −42.6648 | − | 9.39122i | −1.45570 | − | 0.320424i | −0.584519 | − | 0.811380i | \(-0.698717\pi\) |
−0.871184 | + | 0.490956i | \(0.836648\pi\) | |||||||
\(860\) | −5.85507 | + | 1.28880i | −0.199656 | + | 0.0439476i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.22609 | − | 15.2210i | −0.143941 | − | 0.518429i | ||||
\(863\) | −0.837052 | + | 15.4385i | −0.0284936 | + | 0.525533i | 0.949093 | + | 0.314997i | \(0.102004\pi\) |
−0.977586 | + | 0.210536i | \(0.932479\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.95742 | − | 4.91275i | 0.0665542 | − | 0.167038i | ||||
\(866\) | 0.988904 | + | 6.03204i | 0.0336043 | + | 0.204977i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 11.7245 | + | 3.95045i | 0.397956 | + | 0.134087i | ||||
\(869\) | −3.49741 | − | 5.15829i | −0.118641 | − | 0.174983i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.61208 | − | 3.07517i | 0.0885068 | − | 0.104198i | ||||
\(872\) | 11.6805 | + | 11.0644i | 0.395553 | + | 0.374688i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 8.32391 | − | 12.2768i | 0.281560 | − | 0.415270i | ||||
\(875\) | 26.3131 | − | 20.0027i | 0.889547 | − | 0.676216i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.906204 | − | 16.7140i | −0.0306003 | − | 0.564390i | −0.973128 | − | 0.230263i | \(-0.926041\pi\) |
0.942528 | − | 0.334127i | \(-0.108441\pi\) | |||||||
\(878\) | −33.5695 | + | 11.3109i | −1.13292 | + | 0.381724i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.36554 | + | 0.257268i | −0.0797425 | + | 0.00867252i | ||||
\(881\) | −13.9870 | + | 26.3823i | −0.471235 | + | 0.888843i | 0.527982 | + | 0.849256i | \(0.322949\pi\) |
−0.999216 | + | 0.0395869i | \(0.987396\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 35.5740 | − | 21.4042i | 1.19716 | − | 0.720307i | 0.229683 | − | 0.973266i | \(-0.426231\pi\) |
0.967477 | + | 0.252958i | \(0.0814036\pi\) | |||||||
\(884\) | −16.3847 | −0.551078 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.1173 | 0.608663 | ||||||||
\(887\) | 13.1844 | − | 7.93278i | 0.442688 | − | 0.266357i | −0.276711 | − | 0.960953i | \(-0.589245\pi\) |
0.719400 | + | 0.694596i | \(0.244417\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −32.3771 | + | 61.0697i | −1.08589 | + | 2.04821i | ||||
\(890\) | 6.42280 | − | 0.698521i | 0.215293 | − | 0.0234145i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.19051 | + | 1.07501i | −0.106826 | + | 0.0359939i | ||||
\(893\) | −1.04276 | − | 19.2326i | −0.0348946 | − | 0.643593i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −5.51810 | + | 4.19475i | −0.184450 | + | 0.140215i | ||||
\(896\) | 7.09522 | − | 10.4647i | 0.237035 | − | 0.349600i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 29.2570 | + | 27.7137i | 0.976318 | + | 0.924817i | ||||
\(899\) | 22.2688 | − | 26.2169i | 0.742706 | − | 0.874381i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.14969 | + | 9.07012i | 0.204876 | + | 0.302170i | ||||
\(902\) | 8.81388 | + | 2.96974i | 0.293470 | + | 0.0988816i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.57664 | + | 21.8165i | 0.118957 | + | 0.725607i | ||||
\(905\) | 1.89631 | − | 4.75937i | 0.0630354 | − | 0.158207i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.67775 | − | 49.3882i | 0.0889132 | − | 1.63991i | −0.525407 | − | 0.850851i | \(-0.676087\pi\) |
0.614321 | − | 0.789057i | \(-0.289430\pi\) | |||||||
\(908\) | −2.25904 | − | 8.13633i | −0.0749689 | − | 0.270014i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −12.5608 | + | 2.76484i | −0.416386 | + | 0.0916534i | ||||
\(911\) | 46.2768 | + | 10.1863i | 1.53322 | + | 0.337487i | 0.899793 | − | 0.436317i | \(-0.143717\pi\) |
0.633425 | + | 0.773804i | \(0.281648\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.789692 | + | 4.81691i | −0.0261350 | + | 0.159416i | ||||
\(914\) | −8.03386 | − | 4.83381i | −0.265737 | − | 0.159888i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.35134 | + | 14.3425i | −0.0776903 | + | 0.473890i | ||||
\(917\) | 33.2223 | + | 15.3703i | 1.09710 | + | 0.507571i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 12.8102 | − | 2.81973i | 0.422568 | − | 0.0930143i | 0.00140458 | − | 0.999999i | \(-0.499553\pi\) |
0.421163 | + | 0.906985i | \(0.361622\pi\) | |||||||
\(920\) | 5.52198 | − | 2.55474i | 0.182054 | − | 0.0842273i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.335333 | + | 6.18485i | −0.0110436 | + | 0.203687i | ||||
\(923\) | −0.888535 | − | 1.04606i | −0.0292465 | − | 0.0344316i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.68307 | + | 34.6652i | 0.186858 | + | 1.13978i | ||||
\(926\) | −0.892631 | + | 3.21497i | −0.0293337 | + | 0.105650i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 16.1714 | + | 23.8510i | 0.530852 | + | 0.782948i | ||||
\(929\) | 11.0864 | + | 20.9112i | 0.363733 | + | 0.686073i | 0.996065 | − | 0.0886242i | \(-0.0282470\pi\) |
−0.632332 | + | 0.774697i | \(0.717902\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 47.1532 | + | 44.6659i | 1.54538 | + | 1.46387i | ||||
\(932\) | 7.62893 | + | 0.829696i | 0.249894 | + | 0.0271776i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −9.30319 | + | 7.07210i | −0.304410 | + | 0.231406i | ||||
\(935\) | −6.07356 | + | 5.75318i | −0.198627 | + | 0.188149i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.61401 | + | 2.22852i | −0.216070 | + | 0.0728025i | −0.425255 | − | 0.905074i | \(-0.639816\pi\) |
0.209185 | + | 0.977876i | \(0.432919\pi\) | |||||||
\(938\) | 5.22668 | + | 3.97322i | 0.170657 | + | 0.129730i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.917386 | − | 1.73037i | 0.0299218 | − | 0.0564386i | ||||
\(941\) | −14.4622 | − | 36.2975i | −0.471455 | − | 1.18326i | −0.951947 | − | 0.306264i | \(-0.900921\pi\) |
0.480491 | − | 0.877000i | \(-0.340458\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −14.9882 | −0.488084 | ||||||||
\(944\) | 8.94366 | + | 14.7624i | 0.291091 | + | 0.480475i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −14.9860 | + | 9.01675i | −0.487236 | + | 0.293160i | ||||
\(947\) | 14.0994 | + | 35.3867i | 0.458168 | + | 1.14991i | 0.958756 | + | 0.284229i | \(0.0917377\pi\) |
−0.500588 | + | 0.865685i | \(0.666883\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.74723 | + | 0.733806i | −0.219025 | + | 0.0238204i | ||||
\(950\) | −20.8166 | − | 15.8244i | −0.675381 | − | 0.513411i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −5.82275 | − | 107.394i | −0.188717 | − | 3.48067i | ||||
\(953\) | −18.4851 | + | 17.5100i | −0.598790 | + | 0.567204i | −0.925894 | − | 0.377784i | \(-0.876686\pi\) |
0.327103 | + | 0.944989i | \(0.393928\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.3819 | − | 16.7871i | 0.368310 | − | 0.543217i | ||||
\(956\) | −8.49842 | − | 0.924259i | −0.274859 | − | 0.0298927i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 29.3039 | − | 34.4992i | 0.946765 | − | 1.11462i | ||||
\(959\) | −23.7504 | − | 44.7981i | −0.766942 | − | 1.44661i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.2990 | + | 4.14401i | 0.396742 | + | 0.133678i | ||||
\(962\) | 7.84815 | − | 28.2665i | 0.253035 | − | 0.911348i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 3.51908 | − | 8.83223i | 0.113342 | − | 0.284467i | ||||
\(965\) | 0.375658 | + | 0.442259i | 0.0120929 | + | 0.0142368i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 9.62691 | + | 34.6730i | 0.309581 | + | 1.11501i | 0.940677 | + | 0.339304i | \(0.110192\pi\) |
−0.631096 | + | 0.775705i | \(0.717395\pi\) | |||||||
\(968\) | −25.8259 | + | 11.9483i | −0.830075 | + | 0.384034i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −9.30059 | − | 2.04722i | −0.298624 | − | 0.0657321i | ||||
\(971\) | −26.1848 | − | 12.1144i | −0.840312 | − | 0.388770i | −0.0479711 | − | 0.998849i | \(-0.515276\pi\) |
−0.792340 | + | 0.610079i | \(0.791138\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −70.8179 | − | 42.6097i | −2.27032 | − | 1.36601i | ||||
\(974\) | −17.0384 | − | 10.2516i | −0.545944 | − | 0.328484i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 21.1586 | + | 9.78900i | 0.677269 | + | 0.313338i | ||||
\(977\) | −26.9648 | − | 5.93540i | −0.862680 | − | 0.189890i | −0.238473 | − | 0.971149i | \(-0.576647\pi\) |
−0.624207 | + | 0.781259i | \(0.714578\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.40952 | + | 3.89066i | −0.268769 | + | 0.124346i | ||||
\(980\) | 1.76685 | + | 6.36362i | 0.0564400 | + | 0.203278i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −24.6465 | − | 29.0161i | −0.786503 | − | 0.925943i | ||||
\(983\) | −1.23721 | + | 3.10515i | −0.0394607 | + | 0.0990390i | −0.947386 | − | 0.320092i | \(-0.896286\pi\) |
0.907926 | + | 0.419131i | \(0.137665\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.560570 | − | 2.01899i | 0.0178612 | − | 0.0643304i | ||||
\(986\) | −70.2452 | − | 23.6684i | −2.23706 | − | 0.753754i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.02872 | − | 9.48516i | −0.159985 | − | 0.301763i | ||||
\(989\) | 18.2462 | − | 21.4811i | 0.580195 | − | 0.683059i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.89177 | + | 0.423256i | 0.123626 | + | 0.0134452i | 0.169723 | − | 0.985492i | \(-0.445713\pi\) |
−0.0460967 | + | 0.998937i | \(0.514678\pi\) | |||||||
\(992\) | 8.47243 | − | 12.4959i | 0.269000 | − | 0.396745i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.62138 | − | 1.53585i | 0.0514271 | − | 0.0487143i | ||||
\(995\) | −0.0421169 | − | 0.776801i | −0.00133520 | − | 0.0246262i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.0485 | + | 13.7201i | 0.571603 | + | 0.434521i | 0.850632 | − | 0.525761i | \(-0.176220\pi\) |
−0.279029 | + | 0.960283i | \(0.590013\pi\) | |||||||
\(998\) | −49.4389 | + | 5.37680i | −1.56496 | + | 0.170200i | ||||
\(999\) | 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 | 531.2.i.b.163.4 | 140 | ||
3.2 | odd | 2 | 177.2.e.b.163.2 | yes | 140 | ||
59.21 | even | 29 | inner | 531.2.i.b.316.4 | 140 | ||
177.80 | odd | 58 | 177.2.e.b.139.2 | ✓ | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.139.2 | ✓ | 140 | 177.80 | odd | 58 | ||
177.2.e.b.163.2 | yes | 140 | 3.2 | odd | 2 | ||
531.2.i.b.163.4 | 140 | 1.1 | even | 1 | trivial | ||
531.2.i.b.316.4 | 140 | 59.21 | even | 29 | inner |