Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [243,2,Mod(10,243)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(243, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("243.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 243 = 3^{5} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 243.g (of order \(27\), degree \(18\), 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: | \(1.94036476912\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 37.2 | ||
Character | \(\chi\) | \(=\) | 243.37 |
Dual form | 243.2.g.a.46.2 |
$q$-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 \(\left(\mathbb{Z}/243\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{16}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587043 | + | 1.96086i | −0.415102 | + | 1.38654i | 0.453601 | + | 0.891205i | \(0.350139\pi\) |
−0.868703 | + | 0.495333i | \(0.835046\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.82938 | − | 1.20320i | −0.914691 | − | 0.601602i | ||||
\(5\) | −0.00823679 | + | 0.0190950i | −0.00368361 | + | 0.00853956i | −0.920048 | − | 0.391806i | \(-0.871851\pi\) |
0.916364 | + | 0.400345i | \(0.131110\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0874756 | + | 1.50190i | 0.0330627 | + | 0.567664i | 0.973641 | + | 0.228087i | \(0.0732469\pi\) |
−0.940578 | + | 0.339577i | \(0.889716\pi\) | |||||||
\(8\) | 0.297287 | − | 0.249453i | 0.105107 | − | 0.0881950i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0326074 | − | 0.0273608i | −0.0103114 | − | 0.00865225i | ||||
\(11\) | −3.58878 | + | 4.82057i | −1.08206 | + | 1.45346i | −0.201518 | + | 0.979485i | \(0.564588\pi\) |
−0.880540 | + | 0.473972i | \(0.842820\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.50763 | + | 1.59800i | −0.418142 | + | 0.443205i | −0.901866 | − | 0.432016i | \(-0.857802\pi\) |
0.483724 | + | 0.875221i | \(0.339284\pi\) | |||||||
\(14\) | −2.99637 | − | 0.710152i | −0.800812 | − | 0.189796i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.41989 | − | 3.29167i | −0.354972 | − | 0.822918i | ||||
\(17\) | 0.699765 | − | 3.96856i | 0.169718 | − | 0.962518i | −0.774348 | − | 0.632760i | \(-0.781922\pi\) |
0.944066 | − | 0.329758i | \(-0.106967\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.689869 | + | 3.91244i | 0.158267 | + | 0.897576i | 0.955738 | + | 0.294219i | \(0.0950595\pi\) |
−0.797471 | + | 0.603357i | \(0.793829\pi\) | |||||||
\(20\) | 0.0380435 | − | 0.0250216i | 0.00850678 | − | 0.00559500i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.34570 | − | 9.86699i | −1.56611 | − | 2.10365i | ||||
\(23\) | 0.0585660 | − | 1.00554i | 0.0122119 | − | 0.209670i | −0.986682 | − | 0.162658i | \(-0.947993\pi\) |
0.998894 | − | 0.0470114i | \(-0.0149697\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.43091 | + | 3.63655i | 0.686182 | + | 0.727311i | ||||
\(26\) | −2.24841 | − | 3.89435i | −0.440949 | − | 0.763746i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.64706 | − | 2.85280i | 0.311266 | − | 0.539128i | ||||
\(29\) | 5.47229 | − | 1.29696i | 1.01618 | − | 0.240839i | 0.311410 | − | 0.950276i | \(-0.399199\pi\) |
0.704769 | + | 0.709437i | \(0.251051\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.66908 | − | 1.34046i | 0.479382 | − | 0.240754i | −0.192663 | − | 0.981265i | \(-0.561713\pi\) |
0.672045 | + | 0.740510i | \(0.265416\pi\) | |||||||
\(32\) | 8.05896 | − | 0.941957i | 1.42464 | − | 0.166516i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 7.37101 | + | 3.70186i | 1.26412 | + | 0.634864i | ||||
\(35\) | −0.0293993 | − | 0.0107005i | −0.00496939 | − | 0.00180871i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.49019 | + | 2.36224i | −1.06698 | + | 0.388349i | −0.815047 | − | 0.579395i | \(-0.803289\pi\) |
−0.251934 | + | 0.967744i | \(0.581067\pi\) | |||||||
\(38\) | −8.07674 | − | 0.944036i | −1.31022 | − | 0.153143i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.00231463 | + | 0.00773139i | 0.000365975 | + | 0.00122244i | ||||
\(41\) | −1.41282 | − | 4.71915i | −0.220646 | − | 0.737008i | −0.994601 | − | 0.103768i | \(-0.966910\pi\) |
0.773956 | − | 0.633240i | \(-0.218275\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.54159 | − | 0.764602i | −0.997583 | − | 0.116601i | −0.398399 | − | 0.917212i | \(-0.630434\pi\) |
−0.599184 | + | 0.800611i | \(0.704508\pi\) | |||||||
\(44\) | 12.3654 | − | 4.50063i | 1.86415 | − | 0.678496i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.93734 | + | 0.705135i | 0.285646 | + | 0.103967i | ||||
\(47\) | 12.0829 | + | 6.06825i | 1.76247 | + | 0.885145i | 0.955735 | + | 0.294228i | \(0.0950626\pi\) |
0.806733 | + | 0.590916i | \(0.201234\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.70462 | − | 0.549892i | 0.672089 | − | 0.0785560i | ||||
\(50\) | −9.14487 | + | 4.59273i | −1.29328 | + | 0.649510i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.68076 | − | 1.10936i | 0.649104 | − | 0.153840i | ||||
\(53\) | −4.73855 | + | 8.20740i | −0.650890 | + | 1.12737i | 0.332018 | + | 0.943273i | \(0.392271\pi\) |
−0.982907 | + | 0.184101i | \(0.941063\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.0624889 | − | 0.108234i | −0.00842600 | − | 0.0145943i | ||||
\(56\) | 0.400658 | + | 0.424673i | 0.0535402 | + | 0.0567493i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.669320 | + | 11.4918i | −0.0878860 | + | 1.50895i | ||||
\(59\) | 1.04543 | + | 1.40425i | 0.136103 | + | 0.182818i | 0.864949 | − | 0.501859i | \(-0.167350\pi\) |
−0.728846 | + | 0.684678i | \(0.759943\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.43976 | − | 4.89321i | 0.952564 | − | 0.626511i | 0.0248056 | − | 0.999692i | \(-0.492103\pi\) |
0.927759 | + | 0.373181i | \(0.121733\pi\) | |||||||
\(62\) | 1.06160 | + | 6.02061i | 0.134823 | + | 0.764619i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.63891 | + | 9.29469i | −0.204863 | + | 1.16184i | ||||
\(65\) | −0.0180958 | − | 0.0419507i | −0.00224450 | − | 0.00520334i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 13.2656 | + | 3.14400i | 1.62065 | + | 0.384101i | 0.937997 | − | 0.346644i | \(-0.112679\pi\) |
0.682651 | + | 0.730745i | \(0.260827\pi\) | |||||||
\(68\) | −6.05513 | + | 6.41806i | −0.734292 | + | 0.778305i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.0382408 | − | 0.0513663i | 0.00457065 | − | 0.00613945i | ||||
\(71\) | 3.48681 | + | 2.92578i | 0.413808 | + | 0.347226i | 0.825802 | − | 0.563960i | \(-0.190723\pi\) |
−0.411994 | + | 0.911187i | \(0.635167\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.30212 | + | 6.12720i | −0.854648 | + | 0.717135i | −0.960808 | − | 0.277214i | \(-0.910589\pi\) |
0.106160 | + | 0.994349i | \(0.466144\pi\) | |||||||
\(74\) | −0.821995 | − | 14.1131i | −0.0955549 | − | 1.64061i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.44543 | − | 7.98741i | 0.395218 | − | 0.916219i | ||||
\(77\) | −7.55393 | − | 4.96830i | −0.860850 | − | 0.566190i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.913387 | − | 3.05093i | 0.102764 | − | 0.343256i | −0.891108 | − | 0.453791i | \(-0.850071\pi\) |
0.993872 | + | 0.110535i | \(0.0352565\pi\) | |||||||
\(80\) | 0.0745499 | 0.00833493 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.0830 | 1.11348 | ||||||||
\(83\) | 0.481396 | − | 1.60798i | 0.0528401 | − | 0.176498i | −0.927496 | − | 0.373833i | \(-0.878043\pi\) |
0.980336 | + | 0.197335i | \(0.0632286\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.0700161 | + | 0.0460503i | 0.00759431 | + | 0.00499485i | ||||
\(86\) | 5.33948 | − | 12.3783i | 0.575770 | − | 1.33479i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.135609 | + | 2.32832i | 0.0144560 | + | 0.248200i | ||||
\(89\) | 7.75680 | − | 6.50872i | 0.822219 | − | 0.689923i | −0.131272 | − | 0.991346i | \(-0.541906\pi\) |
0.953491 | + | 0.301423i | \(0.0974616\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.53191 | − | 2.12452i | −0.265416 | − | 0.222711i | ||||
\(92\) | −1.31701 | + | 1.76905i | −0.137308 | + | 0.184436i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −18.9922 | + | 20.1305i | −1.95889 | + | 2.07630i | ||||
\(95\) | −0.0803905 | − | 0.0190529i | −0.00824790 | − | 0.00195479i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.62993 | − | 6.09687i | −0.267029 | − | 0.619043i | 0.730961 | − | 0.682420i | \(-0.239072\pi\) |
−0.997990 | + | 0.0633767i | \(0.979813\pi\) | |||||||
\(98\) | −1.68356 | + | 9.54793i | −0.170065 | + | 0.964486i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.90093 | − | 10.7807i | −0.190093 | − | 1.07807i | ||||
\(101\) | −2.33869 | + | 1.53818i | −0.232709 | + | 0.153055i | −0.660508 | − | 0.750819i | \(-0.729659\pi\) |
0.427800 | + | 0.903874i | \(0.359289\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.70182 | + | 3.62917i | 0.266218 | + | 0.357593i | 0.915051 | − | 0.403338i | \(-0.132150\pi\) |
−0.648833 | + | 0.760931i | \(0.724743\pi\) | |||||||
\(104\) | −0.0495737 | + | 0.851147i | −0.00486110 | + | 0.0834618i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −13.3119 | − | 14.1097i | −1.29296 | − | 1.37046i | ||||
\(107\) | −2.05630 | − | 3.56161i | −0.198790 | − | 0.344314i | 0.749347 | − | 0.662178i | \(-0.230368\pi\) |
−0.948136 | + | 0.317864i | \(0.897034\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.81003 | − | 8.33121i | 0.460717 | − | 0.797985i | −0.538280 | − | 0.842766i | \(-0.680926\pi\) |
0.998997 | + | 0.0447810i | \(0.0142590\pi\) | |||||||
\(110\) | 0.248916 | − | 0.0589941i | 0.0237332 | − | 0.00562486i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.81955 | − | 2.42047i | 0.455404 | − | 0.228713i | ||||
\(113\) | −1.83824 | + | 0.214859i | −0.172927 | + | 0.0202122i | −0.202116 | − | 0.979362i | \(-0.564782\pi\) |
0.0291888 | + | 0.999574i | \(0.490708\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.0187184 | + | 0.00940074i | 0.00174550 | + | 0.000876624i | ||||
\(116\) | −11.5714 | − | 4.21166i | −1.07438 | − | 0.391042i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.36726 | + | 1.22558i | −0.309982 | + | 0.112824i | ||||
\(119\) | 6.02159 | + | 0.703823i | 0.551998 | + | 0.0645193i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.20371 | − | 24.0621i | −0.654883 | − | 2.18746i | ||||
\(122\) | 5.22744 | + | 17.4609i | 0.473270 | + | 1.58083i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.49563 | − | 0.759230i | −0.583325 | − | 0.0681809i | ||||
\(125\) | −0.195408 | + | 0.0711227i | −0.0174778 | + | 0.00636141i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −17.8824 | − | 6.50866i | −1.58681 | − | 0.577550i | −0.610136 | − | 0.792296i | \(-0.708885\pi\) |
−0.976670 | + | 0.214746i | \(0.931108\pi\) | |||||||
\(128\) | −2.76194 | − | 1.38710i | −0.244123 | − | 0.122603i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0928825 | − | 0.0108564i | 0.00814633 | − | 0.000952170i | ||||
\(131\) | 0.710862 | − | 0.357008i | 0.0621083 | − | 0.0311920i | −0.417474 | − | 0.908689i | \(-0.637085\pi\) |
0.479582 | + | 0.877497i | \(0.340788\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.81574 | + | 1.37836i | −0.504289 | + | 0.119519i | ||||
\(134\) | −13.9524 | + | 24.1663i | −1.20531 | + | 2.08765i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.781940 | − | 1.35436i | −0.0670508 | − | 0.116135i | ||||
\(137\) | −2.90137 | − | 3.07527i | −0.247880 | − | 0.262738i | 0.591472 | − | 0.806326i | \(-0.298547\pi\) |
−0.839352 | + | 0.543588i | \(0.817066\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.318310 | + | 5.46516i | −0.0269987 | + | 0.463549i | 0.957531 | + | 0.288331i | \(0.0931002\pi\) |
−0.984530 | + | 0.175218i | \(0.943937\pi\) | |||||||
\(140\) | 0.0409077 | + | 0.0549486i | 0.00345733 | + | 0.00464401i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.78396 | + | 5.11959i | −0.653216 | + | 0.429627i | ||||
\(143\) | −2.29269 | − | 13.0025i | −0.191725 | − | 1.08733i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.0203087 | + | 0.115176i | −0.00168655 | + | 0.00956488i | ||||
\(146\) | −7.72794 | − | 17.9154i | −0.639569 | − | 1.48269i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 14.7153 | + | 3.48759i | 1.20959 | + | 0.286678i | ||||
\(149\) | 5.33644 | − | 5.65630i | 0.437178 | − | 0.463382i | −0.470898 | − | 0.882188i | \(-0.656070\pi\) |
0.908076 | + | 0.418806i | \(0.137551\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.90781 | + | 10.6220i | −0.643529 | + | 0.864409i | −0.997487 | − | 0.0708524i | \(-0.977428\pi\) |
0.353958 | + | 0.935261i | \(0.384835\pi\) | |||||||
\(152\) | 1.18106 | + | 0.991027i | 0.0957966 | + | 0.0803829i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 14.1766 | − | 11.8956i | 1.14239 | − | 0.958575i | ||||
\(155\) | 0.00361152 | + | 0.0620074i | 0.000290084 | + | 0.00498055i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.75454 | + | 6.38575i | −0.219836 | + | 0.509638i | −0.992068 | − | 0.125703i | \(-0.959881\pi\) |
0.772231 | + | 0.635341i | \(0.219141\pi\) | |||||||
\(158\) | 5.44624 | + | 3.58205i | 0.433280 | + | 0.284973i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.0483933 | + | 0.161645i | −0.00382583 | + | 0.0127791i | ||||
\(161\) | 1.51534 | 0.119426 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.19903 | 0.407219 | 0.203610 | − | 0.979052i | \(-0.434733\pi\) | ||||
0.203610 | + | 0.979052i | \(0.434733\pi\) | |||||||
\(164\) | −3.09351 | + | 10.3331i | −0.241563 | + | 0.806876i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.87042 | + | 1.88790i | 0.222788 | + | 0.146530i | ||||
\(167\) | −3.74255 | + | 8.67620i | −0.289607 | + | 0.671384i | −0.999456 | − | 0.0329691i | \(-0.989504\pi\) |
0.709849 | + | 0.704353i | \(0.248763\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.475244 | + | 8.15962i | 0.0365572 | + | 0.627663i | ||||
\(170\) | −0.131401 | + | 0.110258i | −0.0100780 | + | 0.00845642i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 11.0471 | + | 9.26962i | 0.842333 | + | 0.706802i | ||||
\(173\) | −5.37651 | + | 7.22190i | −0.408768 | + | 0.549071i | −0.958063 | − | 0.286558i | \(-0.907489\pi\) |
0.549295 | + | 0.835629i | \(0.314896\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.16161 | + | 5.47099i | −0.390181 | + | 0.413568i | ||||
\(176\) | 20.9634 | + | 4.96842i | 1.58018 | + | 0.374509i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.20913 | + | 19.0309i | 0.615300 | + | 1.42643i | ||||
\(179\) | −1.67669 | + | 9.50897i | −0.125321 | + | 0.710733i | 0.855795 | + | 0.517315i | \(0.173069\pi\) |
−0.981116 | + | 0.193418i | \(0.938043\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.70395 | − | 9.66360i | −0.126654 | − | 0.718290i | −0.980312 | − | 0.197456i | \(-0.936732\pi\) |
0.853658 | − | 0.520834i | \(-0.174379\pi\) | |||||||
\(182\) | 5.65224 | − | 3.71754i | 0.418972 | − | 0.275562i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.233424 | − | 0.313543i | −0.0172083 | − | 0.0231147i | ||||
\(185\) | 0.00835138 | − | 0.143388i | 0.000614006 | − | 0.0105421i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 16.6194 | + | 17.6156i | 1.21533 | + | 1.28818i | ||||
\(188\) | −14.8029 | − | 25.6393i | −1.07961 | − | 1.86994i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.0845529 | − | 0.146450i | 0.00613411 | − | 0.0106246i | ||||
\(191\) | 3.43575 | − | 0.814287i | 0.248602 | − | 0.0589197i | −0.104426 | − | 0.994533i | \(-0.533300\pi\) |
0.353027 | + | 0.935613i | \(0.385152\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.3015 | − | 9.69357i | 1.38935 | − | 0.697759i | 0.412357 | − | 0.911022i | \(-0.364706\pi\) |
0.976995 | + | 0.213264i | \(0.0684094\pi\) | |||||||
\(194\) | 13.4990 | − | 1.57781i | 0.969171 | − | 0.113280i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.26819 | − | 4.65466i | −0.662014 | − | 0.332476i | ||||
\(197\) | −15.5802 | − | 5.67071i | −1.11004 | − | 0.404022i | −0.279032 | − | 0.960282i | \(-0.590014\pi\) |
−0.831008 | + | 0.556260i | \(0.812236\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 19.4015 | − | 7.06158i | 1.37534 | − | 0.500582i | 0.454576 | − | 0.890708i | \(-0.349791\pi\) |
0.920761 | + | 0.390126i | \(0.127569\pi\) | |||||||
\(200\) | 1.92711 | + | 0.225247i | 0.136268 | + | 0.0159274i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.64325 | − | 5.48883i | −0.115619 | − | 0.386193i | ||||
\(203\) | 2.42659 | + | 8.10537i | 0.170313 | + | 0.568886i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.101750 | + | 0.0118928i | 0.00710650 | + | 0.000830630i | ||||
\(206\) | −8.70238 | + | 3.16741i | −0.606324 | + | 0.220684i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.40076 | + | 2.69365i | 0.513150 | + | 0.186771i | ||||
\(209\) | −21.3360 | − | 10.7153i | −1.47584 | − | 0.741195i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.15943 | + | 0.252402i | −0.148662 | + | 0.0173760i | −0.190098 | − | 0.981765i | \(-0.560881\pi\) |
0.0414366 | + | 0.999141i | \(0.486807\pi\) | |||||||
\(212\) | 18.5438 | − | 9.31305i | 1.27359 | − | 0.639623i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 8.19096 | − | 1.94129i | 0.559922 | − | 0.132704i | ||||
\(215\) | 0.0684818 | − | 0.118614i | 0.00467042 | − | 0.00808941i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.24672 | + | 3.89143i | 0.152517 | + | 0.264168i | ||||
\(218\) | 13.5127 | + | 14.3226i | 0.915193 | + | 0.970047i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.0159114 | + | 0.273188i | −0.00107275 | + | 0.0184183i | ||||
\(221\) | 5.28677 | + | 7.10136i | 0.355627 | + | 0.477689i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −18.8624 | + | 12.4060i | −1.26312 | + | 0.830766i | −0.991305 | − | 0.131584i | \(-0.957994\pi\) |
−0.271813 | + | 0.962350i | \(0.587623\pi\) | |||||||
\(224\) | 2.11969 | + | 12.0213i | 0.141627 | + | 0.803209i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.657816 | − | 3.73066i | 0.0437573 | − | 0.248160i | ||||
\(227\) | 7.30925 | + | 16.9447i | 0.485132 | + | 1.12466i | 0.968448 | + | 0.249216i | \(0.0801729\pi\) |
−0.483316 | + | 0.875446i | \(0.660568\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.9915 | − | 2.60504i | −0.726340 | − | 0.172146i | −0.149219 | − | 0.988804i | \(-0.547676\pi\) |
−0.577121 | + | 0.816658i | \(0.695824\pi\) | |||||||
\(230\) | −0.0294221 | + | 0.0311856i | −0.00194003 | + | 0.00205632i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.30331 | − | 1.75065i | 0.0855665 | − | 0.114936i | ||||
\(233\) | −12.6194 | − | 10.5889i | −0.826724 | − | 0.693703i | 0.127813 | − | 0.991798i | \(-0.459204\pi\) |
−0.954536 | + | 0.298095i | \(0.903649\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.215398 | + | 0.180740i | −0.0140510 | + | 0.0117902i | ||||
\(236\) | −0.222885 | − | 3.82678i | −0.0145086 | − | 0.249102i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.91503 | + | 11.3943i | −0.318594 | + | 0.738585i | ||||
\(239\) | −9.15402 | − | 6.02070i | −0.592125 | − | 0.389446i | 0.217789 | − | 0.975996i | \(-0.430116\pi\) |
−0.809913 | + | 0.586549i | \(0.800486\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.72108 | − | 19.1097i | 0.368527 | − | 1.23097i | −0.549851 | − | 0.835263i | \(-0.685316\pi\) |
0.918378 | − | 0.395704i | \(-0.129499\pi\) | |||||||
\(242\) | 51.4113 | 3.30484 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −19.4977 | −1.24821 | ||||||||
\(245\) | −0.0282508 | + | 0.0943643i | −0.00180488 | + | 0.00602872i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.29214 | − | 4.79612i | −0.463988 | − | 0.305170i | ||||
\(248\) | 0.459100 | − | 1.06431i | 0.0291529 | − | 0.0675840i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.0247488 | − | 0.424920i | −0.00156525 | − | 0.0268743i | ||||
\(251\) | 15.8375 | − | 13.2893i | 0.999656 | − | 0.838811i | 0.0127196 | − | 0.999919i | \(-0.495951\pi\) |
0.986937 | + | 0.161108i | \(0.0515067\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.63709 | + | 3.89098i | 0.291532 | + | 0.244624i | ||||
\(254\) | 23.2603 | − | 31.2440i | 1.45948 | − | 1.96043i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.61231 | + | 9.12852i | −0.538270 | + | 0.570533i | ||||
\(257\) | −11.4743 | − | 2.71945i | −0.715744 | − | 0.169635i | −0.143420 | − | 0.989662i | \(-0.545810\pi\) |
−0.572324 | + | 0.820027i | \(0.693958\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.11557 | − | 9.54096i | −0.255729 | − | 0.592847i | ||||
\(260\) | −0.0173712 | + | 0.0985168i | −0.00107731 | + | 0.00610975i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.282737 | + | 1.60348i | 0.0174676 | + | 0.0990634i | ||||
\(263\) | 1.63557 | − | 1.07573i | 0.100854 | − | 0.0663326i | −0.498080 | − | 0.867131i | \(-0.665962\pi\) |
0.598934 | + | 0.800798i | \(0.295591\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.117690 | − | 0.158085i | −0.00722965 | − | 0.00971111i | ||||
\(266\) | 0.711327 | − | 12.2130i | 0.0436143 | − | 0.748828i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −20.4849 | − | 21.7128i | −1.25132 | − | 1.32632i | ||||
\(269\) | 10.6534 | + | 18.4522i | 0.649547 | + | 1.12505i | 0.983231 | + | 0.182364i | \(0.0583749\pi\) |
−0.333684 | + | 0.942685i | \(0.608292\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.85691 | + | 11.8765i | −0.416528 | + | 0.721447i | −0.995587 | − | 0.0938378i | \(-0.970086\pi\) |
0.579060 | + | 0.815285i | \(0.303420\pi\) | |||||||
\(272\) | −14.0568 | + | 3.33152i | −0.852319 | + | 0.202003i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.73340 | − | 3.88386i | 0.467192 | − | 0.234633i | ||||
\(275\) | −29.8431 | + | 3.48815i | −1.79960 | + | 0.210344i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.28071 | + | 2.14985i | 0.257203 | + | 0.129172i | 0.572729 | − | 0.819745i | \(-0.305885\pi\) |
−0.315526 | + | 0.948917i | \(0.602181\pi\) | |||||||
\(278\) | −10.5296 | − | 3.83245i | −0.631522 | − | 0.229855i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.0114093 | + | 0.00415264i | −0.000681835 | + | 0.000248168i | ||||
\(281\) | −13.8337 | − | 1.61692i | −0.825247 | − | 0.0964576i | −0.307023 | − | 0.951702i | \(-0.599333\pi\) |
−0.518225 | + | 0.855245i | \(0.673407\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.860245 | − | 2.87342i | −0.0511363 | − | 0.170807i | 0.928607 | − | 0.371065i | \(-0.121007\pi\) |
−0.979743 | + | 0.200258i | \(0.935822\pi\) | |||||||
\(284\) | −2.85840 | − | 9.54772i | −0.169615 | − | 0.566553i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 26.8420 | + | 3.13739i | 1.58720 | + | 0.185517i | ||||
\(287\) | 6.96410 | − | 2.53472i | 0.411078 | − | 0.149620i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.714943 | + | 0.260218i | 0.0420555 | + | 0.0153069i | ||||
\(290\) | −0.213923 | − | 0.107436i | −0.0125620 | − | 0.00630887i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 20.7306 | − | 2.42307i | 1.21317 | − | 0.141799i | ||||
\(293\) | 21.5690 | − | 10.8324i | 1.26007 | − | 0.632833i | 0.311759 | − | 0.950161i | \(-0.399082\pi\) |
0.948316 | + | 0.317328i | \(0.102786\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0354253 | + | 0.00839595i | −0.00206254 | + | 0.000488831i | ||||
\(296\) | −1.34018 | + | 2.32126i | −0.0778964 | + | 0.134920i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.95849 | + | 13.7845i | 0.461023 | + | 0.798515i | ||||
\(299\) | 1.51855 | + | 1.60957i | 0.0878203 | + | 0.0930840i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.576125 | − | 9.89168i | 0.0332073 | − | 0.570147i | ||||
\(302\) | −16.1861 | − | 21.7417i | −0.931406 | − | 1.25110i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.8989 | − | 7.82606i | 0.682451 | − | 0.448855i | ||||
\(305\) | 0.0321562 | + | 0.182367i | 0.00184126 | + | 0.0104423i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.34825 | − | 18.9889i | 0.191095 | − | 1.08375i | −0.726776 | − | 0.686874i | \(-0.758982\pi\) |
0.917871 | − | 0.396879i | \(-0.129907\pi\) | |||||||
\(308\) | 7.84116 | + | 18.1778i | 0.446791 | + | 1.03578i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.123708 | − | 0.0293193i | −0.00702614 | − | 0.00166523i | ||||
\(311\) | −7.85065 | + | 8.32121i | −0.445170 | + | 0.471852i | −0.910634 | − | 0.413215i | \(-0.864406\pi\) |
0.465464 | + | 0.885067i | \(0.345887\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.36282 | − | 4.51705i | 0.190078 | − | 0.255319i | −0.696861 | − | 0.717207i | \(-0.745420\pi\) |
0.886938 | + | 0.461888i | \(0.152828\pi\) | |||||||
\(314\) | −10.9045 | − | 9.14999i | −0.615378 | − | 0.516364i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.34182 | + | 4.48232i | −0.300501 | + | 0.252150i | ||||
\(317\) | 0.352180 | + | 6.04669i | 0.0197804 | + | 0.339616i | 0.993651 | + | 0.112511i | \(0.0358892\pi\) |
−0.973870 | + | 0.227106i | \(0.927074\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −13.3868 | + | 31.0341i | −0.749517 | + | 1.73757i | ||||
\(320\) | −0.163983 | − | 0.107853i | −0.00916694 | − | 0.00602919i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.889571 | + | 2.97137i | −0.0495738 | + | 0.165588i | ||||
\(323\) | 16.0095 | 0.890794 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −10.9838 | −0.609269 | ||||||||
\(326\) | −3.05206 | + | 10.1946i | −0.169038 | + | 0.564626i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.59722 | − | 1.05051i | −0.0881918 | − | 0.0580046i | ||||
\(329\) | −8.05693 | + | 18.6781i | −0.444193 | + | 1.02975i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.594022 | − | 10.1990i | −0.0326504 | − | 0.560586i | −0.974477 | − | 0.224487i | \(-0.927929\pi\) |
0.941827 | − | 0.336099i | \(-0.109108\pi\) | |||||||
\(332\) | −2.81538 | + | 2.36238i | −0.154514 | + | 0.129653i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −14.8158 | − | 12.4319i | −0.810684 | − | 0.680244i | ||||
\(335\) | −0.169301 | + | 0.227410i | −0.00924988 | + | 0.0124247i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.25087 | − | 6.62553i | 0.340506 | − | 0.360916i | −0.534380 | − | 0.845245i | \(-0.679455\pi\) |
0.874886 | + | 0.484329i | \(0.160936\pi\) | |||||||
\(338\) | −16.2789 | − | 3.85816i | −0.885454 | − | 0.209856i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0726783 | − | 0.168487i | −0.00394153 | − | 0.00913750i | ||||
\(341\) | −3.11696 | + | 17.6771i | −0.168793 | + | 0.957271i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.06613 | + | 17.3889i | 0.165555 | + | 0.938911i | ||||
\(344\) | −2.13546 | + | 1.40451i | −0.115136 | + | 0.0757263i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.0049 | − | 14.7822i | −0.591628 | − | 0.794694i | ||||
\(347\) | 0.167828 | − | 2.88149i | 0.00900946 | − | 0.154686i | −0.990803 | − | 0.135313i | \(-0.956796\pi\) |
0.999812 | − | 0.0193731i | \(-0.00616704\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.8015 | + | 19.9284i | 1.00642 | + | 1.06674i | 0.997768 | + | 0.0667806i | \(0.0212728\pi\) |
0.00865259 | + | 0.999963i | \(0.497246\pi\) | |||||||
\(350\) | −7.69776 | − | 13.3329i | −0.411463 | − | 0.712674i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −24.3811 | + | 42.2293i | −1.29952 | + | 2.25083i | ||||
\(353\) | −2.70304 | + | 0.640631i | −0.143868 | + | 0.0340974i | −0.301919 | − | 0.953334i | \(-0.597627\pi\) |
0.158051 | + | 0.987431i | \(0.449479\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.0845881 | + | 0.0424817i | −0.00448947 | + | 0.00225470i | ||||
\(356\) | −22.0215 | + | 2.57394i | −1.16714 | + | 0.136419i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −17.6615 | − | 8.86993i | −0.933438 | − | 0.468790i | ||||
\(359\) | 17.4937 | + | 6.36718i | 0.923281 | + | 0.336047i | 0.759543 | − | 0.650457i | \(-0.225423\pi\) |
0.163738 | + | 0.986504i | \(0.447645\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.02287 | − | 1.10024i | 0.159099 | − | 0.0579071i | ||||
\(362\) | 19.9493 | + | 2.33174i | 1.04851 | + | 0.122553i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.07560 | + | 6.93297i | 0.108791 | + | 0.363387i | ||||
\(365\) | −0.0568531 | − | 0.189903i | −0.00297583 | − | 0.00993996i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.10848 | + | 0.480212i | 0.214461 | + | 0.0250669i | 0.222645 | − | 0.974900i | \(-0.428531\pi\) |
−0.00818400 | + | 0.999967i | \(0.502605\pi\) | |||||||
\(368\) | −3.39306 | + | 1.23497i | −0.176876 | + | 0.0643775i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.276261 | + | 0.100551i | 0.0143621 | + | 0.00522738i | ||||
\(371\) | −12.7412 | − | 6.39886i | −0.661489 | − | 0.332212i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.87344 | − | 0.452740i | 0.200559 | − | 0.0234420i | −0.0152202 | − | 0.999884i | \(-0.504845\pi\) |
0.215779 | + | 0.976442i | \(0.430771\pi\) | |||||||
\(374\) | −44.2980 | + | 22.2473i | −2.29060 | + | 1.15038i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.10582 | − | 1.21010i | 0.263313 | − | 0.0624062i | ||||
\(377\) | −6.17768 | + | 10.7001i | −0.318167 | + | 0.551081i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.6974 | − | 27.1887i | −0.806321 | − | 1.39659i | −0.915395 | − | 0.402556i | \(-0.868122\pi\) |
0.109074 | − | 0.994034i | \(-0.465211\pi\) | |||||||
\(380\) | 0.124141 | + | 0.131581i | 0.00636828 | + | 0.00674998i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.420229 | + | 7.21505i | −0.0215008 | + | 0.369154i | ||||
\(383\) | 13.5437 | + | 18.1923i | 0.692050 | + | 0.929585i | 0.999760 | − | 0.0218955i | \(-0.00697012\pi\) |
−0.307710 | + | 0.951480i | \(0.599563\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.157090 | − | 0.103320i | 0.00800605 | − | 0.00526566i | ||||
\(386\) | 7.67694 | + | 43.5381i | 0.390746 | + | 2.21603i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.52462 | + | 14.3178i | −0.128168 | + | 0.726879i | ||||
\(389\) | −6.33140 | − | 14.6778i | −0.321015 | − | 0.744195i | −0.999950 | − | 0.00999750i | \(-0.996818\pi\) |
0.678935 | − | 0.734198i | \(-0.262442\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.94957 | − | 0.936065i | −0.199738 | − | 0.0473388i | ||||
\(392\) | 1.26145 | − | 1.33706i | 0.0637128 | − | 0.0675317i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 20.2657 | − | 27.2216i | 1.02097 | − | 1.37140i | ||||
\(395\) | 0.0507341 | + | 0.0425710i | 0.00255271 | + | 0.00214198i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −19.5239 | + | 16.3825i | −0.979876 | + | 0.822214i | −0.984071 | − | 0.177778i | \(-0.943109\pi\) |
0.00419466 | + | 0.999991i | \(0.498665\pi\) | |||||||
\(398\) | 2.45724 | + | 42.1892i | 0.123170 | + | 2.11475i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7.09883 | − | 16.4569i | 0.354941 | − | 0.822847i | ||||
\(401\) | 8.21664 | + | 5.40417i | 0.410320 | + | 0.269871i | 0.737844 | − | 0.674971i | \(-0.235844\pi\) |
−0.327524 | + | 0.944843i | \(0.606214\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.88194 | + | 6.28612i | −0.0937461 | + | 0.313134i | ||||
\(404\) | 6.12911 | 0.304935 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −17.3180 | −0.859479 | ||||||||
\(407\) | 11.9046 | − | 39.7640i | 0.590087 | − | 1.97103i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −20.4267 | − | 13.4348i | −1.01004 | − | 0.664311i | −0.0672585 | − | 0.997736i | \(-0.521425\pi\) |
−0.942777 | + | 0.333425i | \(0.891796\pi\) | |||||||
\(410\) | −0.0830516 | + | 0.192535i | −0.00410163 | + | 0.00950864i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.576025 | − | 9.88997i | −0.0283787 | − | 0.487244i | ||||
\(413\) | −2.01760 | + | 1.69296i | −0.0992795 | + | 0.0833054i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.0267392 | + | 0.0224368i | 0.00131257 | + | 0.00110138i | ||||
\(416\) | −10.6447 | + | 14.2983i | −0.521900 | + | 0.701033i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 33.5365 | − | 35.5466i | 1.64032 | − | 1.73864i | ||||
\(419\) | 4.23901 | + | 1.00466i | 0.207089 | + | 0.0490810i | 0.332851 | − | 0.942979i | \(-0.391989\pi\) |
−0.125762 | + | 0.992060i | \(0.540138\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.501821 | + | 1.16335i | 0.0244573 | + | 0.0566983i | 0.930007 | − | 0.367542i | \(-0.119801\pi\) |
−0.905550 | + | 0.424240i | \(0.860541\pi\) | |||||||
\(422\) | 0.772757 | − | 4.38252i | 0.0376172 | − | 0.213338i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.638656 | + | 3.62200i | 0.0310159 | + | 0.175900i | ||||
\(425\) | 16.8327 | − | 11.0711i | 0.816507 | − | 0.537025i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.99990 | + | 10.7457i | 0.387142 | + | 0.520022i | ||||
\(428\) | −0.523590 | + | 8.98969i | −0.0253087 | + | 0.434533i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.192384 | + | 0.203915i | 0.00927757 | + | 0.00983365i | ||||
\(431\) | −17.8588 | − | 30.9323i | −0.860227 | − | 1.48996i | −0.871709 | − | 0.490023i | \(-0.836988\pi\) |
0.0114820 | − | 0.999934i | \(-0.496345\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 16.1789 | − | 28.0227i | 0.777509 | − | 1.34668i | −0.155865 | − | 0.987778i | \(-0.549816\pi\) |
0.933374 | − | 0.358906i | \(-0.116850\pi\) | |||||||
\(434\) | −8.94948 | + | 2.12107i | −0.429589 | + | 0.101814i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.8235 | + | 9.45353i | −0.901483 | + | 0.452742i | ||||
\(437\) | 3.97452 | − | 0.464555i | 0.190127 | − | 0.0222227i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.93828 | + | 3.98676i | 0.378874 | + | 0.190277i | 0.628036 | − | 0.778184i | \(-0.283859\pi\) |
−0.249163 | + | 0.968462i | \(0.580155\pi\) | |||||||
\(440\) | −0.0455764 | − | 0.0165885i | −0.00217277 | − | 0.000790824i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −17.0284 | + | 6.19781i | −0.809956 | + | 0.294800i | ||||
\(443\) | 13.3588 | + | 1.56142i | 0.634695 | + | 0.0741852i | 0.427355 | − | 0.904084i | \(-0.359445\pi\) |
0.207340 | + | 0.978269i | \(0.433519\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.0603932 | + | 0.201727i | 0.00286291 | + | 0.00956279i | ||||
\(446\) | −13.2534 | − | 44.2694i | −0.627565 | − | 2.09621i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −14.1030 | − | 1.64841i | −0.666306 | − | 0.0778800i | ||||
\(449\) | 16.7390 | − | 6.09251i | 0.789964 | − | 0.287524i | 0.0846431 | − | 0.996411i | \(-0.473025\pi\) |
0.705321 | + | 0.708888i | \(0.250803\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 27.8193 | + | 10.1254i | 1.30996 | + | 0.476787i | ||||
\(452\) | 3.62136 | + | 1.81871i | 0.170334 | + | 0.0855451i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −37.5171 | + | 4.38512i | −1.76077 | + | 0.205804i | ||||
\(455\) | 0.0614227 | − | 0.0308476i | 0.00287954 | − | 0.00144616i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.21419 | − | 0.287769i | 0.0567976 | − | 0.0134613i | −0.202119 | − | 0.979361i | \(-0.564783\pi\) |
0.258916 | + | 0.965900i | \(0.416635\pi\) | |||||||
\(458\) | 11.5606 | − | 20.0236i | 0.540192 | − | 0.935640i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0229321 | − | 0.0397196i | −0.00106922 | − | 0.00185194i | ||||
\(461\) | −12.9468 | − | 13.7228i | −0.602993 | − | 0.639135i | 0.351917 | − | 0.936031i | \(-0.385530\pi\) |
−0.954910 | + | 0.296896i | \(0.904049\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.691589 | − | 11.8741i | 0.0321409 | − | 0.551838i | −0.943350 | − | 0.331799i | \(-0.892345\pi\) |
0.975491 | − | 0.220039i | \(-0.0706184\pi\) | |||||||
\(464\) | −12.0392 | − | 16.1715i | −0.558906 | − | 0.750741i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 28.1715 | − | 18.5287i | 1.30502 | − | 0.858326i | ||||
\(467\) | −1.20388 | − | 6.82753i | −0.0557088 | − | 0.315940i | 0.944201 | − | 0.329370i | \(-0.106836\pi\) |
−0.999910 | + | 0.0134295i | \(0.995725\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.56155 | + | 20.1986i | −0.164457 | + | 0.932683i | ||||
\(470\) | −0.227958 | − | 0.528467i | −0.0105149 | − | 0.0243764i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.661088 | + | 0.156681i | 0.0304290 | + | 0.00721181i | ||||
\(473\) | 27.1621 | − | 28.7902i | 1.24892 | − | 1.32377i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −11.8609 | + | 15.9320i | −0.544217 | + | 0.731010i | ||||
\(476\) | −10.1689 | − | 8.53276i | −0.466093 | − | 0.391098i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 17.1796 | − | 14.4154i | 0.785775 | − | 0.659343i | ||||
\(479\) | 2.11898 | + | 36.3814i | 0.0968185 | + | 1.66231i | 0.601402 | + | 0.798946i | \(0.294609\pi\) |
−0.504584 | + | 0.863363i | \(0.668354\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.00998 | − | 13.9327i | 0.274031 | − | 0.635276i | ||||
\(482\) | 34.1130 | + | 22.4365i | 1.55381 | + | 1.02195i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −15.7732 | + | 52.6863i | −0.716965 | + | 2.39483i | ||||
\(485\) | 0.138082 | 0.00626998 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 35.1072 | 1.59086 | 0.795429 | − | 0.606046i | \(-0.207245\pi\) | ||||
0.795429 | + | 0.606046i | \(0.207245\pi\) | |||||||
\(488\) | 0.991116 | − | 3.31056i | 0.0448657 | − | 0.149862i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.168451 | − | 0.110792i | −0.00760984 | − | 0.00500507i | ||||
\(491\) | 9.92481 | − | 23.0083i | 0.447900 | − | 1.03835i | −0.533400 | − | 0.845863i | \(-0.679086\pi\) |
0.981300 | − | 0.192486i | \(-0.0616550\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.31774 | − | 22.6247i | −0.0593480 | − | 1.01897i | ||||
\(494\) | 13.6853 | − | 11.4834i | 0.615732 | − | 0.516661i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.20217 | − | 6.88244i | −0.368288 | − | 0.309031i | ||||
\(497\) | −4.08921 | + | 5.49277i | −0.183426 | + | 0.246384i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.5510 | − | 15.4232i | 0.651393 | − | 0.690436i | −0.314535 | − | 0.949246i | \(-0.601849\pi\) |
0.965928 | + | 0.258810i | \(0.0833302\pi\) | |||||||
\(500\) | 0.443051 | + | 0.105005i | 0.0198139 | + | 0.00469597i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 16.7611 | + | 38.8566i | 0.748084 | + | 1.73425i | ||||
\(503\) | 4.86905 | − | 27.6138i | 0.217100 | − | 1.23124i | −0.660124 | − | 0.751156i | \(-0.729496\pi\) |
0.877225 | − | 0.480080i | \(-0.159392\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.0101083 | − | 0.0573271i | −0.000449814 | − | 0.00255102i | ||||
\(506\) | −10.3519 | + | 6.80852i | −0.460196 | + | 0.302676i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 24.8825 | + | 33.4230i | 1.10398 | + | 1.48291i | ||||
\(509\) | −1.26445 | + | 21.7097i | −0.0560456 | + | 0.962265i | 0.846695 | + | 0.532079i | \(0.178589\pi\) |
−0.902740 | + | 0.430186i | \(0.858448\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.84119 | − | 10.4311i | −0.435349 | − | 0.461443i | ||||
\(512\) | −15.9347 | − | 27.5996i | −0.704219 | − | 1.21974i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12.0683 | − | 20.9030i | 0.532312 | − | 0.921992i | ||||
\(515\) | −0.0915534 | + | 0.0216986i | −0.00403432 | + | 0.000956153i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −72.6152 | + | 36.4687i | −3.19361 | + | 1.60389i | ||||
\(518\) | 21.1245 | − | 2.46910i | 0.928159 | − | 0.108486i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.0158444 | − | 0.00795734i | −0.000694821 | − | 0.000348952i | ||||
\(521\) | 1.12952 | + | 0.411112i | 0.0494852 | + | 0.0180112i | 0.366644 | − | 0.930361i | \(-0.380507\pi\) |
−0.317159 | + | 0.948372i | \(0.602729\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.8149 | + | 4.30029i | −0.516631 | + | 0.188038i | −0.587159 | − | 0.809471i | \(-0.699754\pi\) |
0.0705281 | + | 0.997510i | \(0.477532\pi\) | |||||||
\(524\) | −1.72999 | − | 0.202207i | −0.0755751 | − | 0.00883346i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.14921 | + | 3.83864i | 0.0501081 | + | 0.167373i | ||||
\(527\) | −3.45199 | − | 11.5304i | −0.150371 | − | 0.502274i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.8368 | + | 2.55236i | 0.949426 | + | 0.110972i | ||||
\(530\) | 0.379073 | − | 0.137971i | 0.0164659 | − | 0.00599309i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 12.2977 | + | 4.47598i | 0.533171 | + | 0.194058i | ||||
\(533\) | 9.67122 | + | 4.85707i | 0.418907 | + | 0.210383i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.0849463 | − | 0.00992880i | 0.00367255 | − | 0.000429260i | ||||
\(536\) | 4.72796 | − | 2.37447i | 0.204217 | − | 0.102561i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −42.4361 | + | 10.0576i | −1.82955 | + | 0.433612i | ||||
\(539\) | −14.2331 | + | 24.6524i | −0.613062 | + | 1.06185i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 18.1901 | + | 31.5062i | 0.782053 | + | 1.35456i | 0.930744 | + | 0.365672i | \(0.119161\pi\) |
−0.148691 | + | 0.988884i | \(0.547506\pi\) | |||||||
\(542\) | −19.2629 | − | 20.4175i | −0.827413 | − | 0.877006i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.90116 | − | 32.6417i | 0.0815116 | − | 1.39950i | ||||
\(545\) | 0.119466 | + | 0.160470i | 0.00511734 | + | 0.00687378i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.60436 | + | 6.31689i | −0.410653 | + | 0.270091i | −0.737983 | − | 0.674819i | \(-0.764221\pi\) |
0.327330 | + | 0.944910i | \(0.393851\pi\) | |||||||
\(548\) | 1.60753 | + | 9.11678i | 0.0686705 | + | 0.389450i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 10.6794 | − | 60.5658i | 0.455370 | − | 2.58253i | ||||
\(551\) | 8.84944 | + | 20.5153i | 0.376999 | + | 0.873981i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.66208 | + | 1.10493i | 0.198252 | + | 0.0469865i | ||||
\(554\) | −6.72853 | + | 7.13183i | −0.285868 | + | 0.303002i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7.15802 | − | 9.61489i | 0.303568 | − | 0.407762i | ||||
\(557\) | 24.9391 | + | 20.9264i | 1.05670 | + | 0.886679i | 0.993782 | − | 0.111340i | \(-0.0355142\pi\) |
0.0629202 | + | 0.998019i | \(0.479959\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 11.0841 | − | 9.30071i | 0.468810 | − | 0.393378i | ||||
\(560\) | 0.00652130 | + | 0.111966i | 0.000275575 | + | 0.00473144i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 11.2915 | − | 26.1767i | 0.476304 | − | 1.10420i | ||||
\(563\) | −6.73953 | − | 4.43266i | −0.284037 | − | 0.186814i | 0.399493 | − | 0.916736i | \(-0.369186\pi\) |
−0.683531 | + | 0.729922i | \(0.739556\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.0110384 | − | 0.0368709i | 0.000464390 | − | 0.00155117i | ||||
\(566\) | 6.13938 | 0.258057 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.76643 | 0.0741177 | ||||||||
\(569\) | 3.00013 | − | 10.0211i | 0.125772 | − | 0.420107i | −0.871791 | − | 0.489878i | \(-0.837041\pi\) |
0.997563 | + | 0.0697702i | \(0.0222266\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.5356 | + | 13.5065i | 0.859389 | + | 0.565229i | 0.900958 | − | 0.433907i | \(-0.142865\pi\) |
−0.0415690 | + | 0.999136i | \(0.513236\pi\) | |||||||
\(572\) | −11.4505 | + | 26.5452i | −0.478768 | + | 1.10991i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.882016 | + | 15.1436i | 0.0368146 | + | 0.632083i | ||||
\(575\) | 3.85763 | − | 3.23694i | 0.160874 | − | 0.134990i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.7824 | + | 14.0821i | 0.698659 | + | 0.586244i | 0.921392 | − | 0.388635i | \(-0.127053\pi\) |
−0.222733 | + | 0.974880i | \(0.571498\pi\) | |||||||
\(578\) | −0.929954 | + | 1.24915i | −0.0386810 | + | 0.0519576i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.175733 | − | 0.186266i | 0.00729692 | − | 0.00773429i | ||||
\(581\) | 2.45712 | + | 0.582349i | 0.101939 | + | 0.0241599i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −22.5588 | − | 52.2971i | −0.934288 | − | 2.16592i | ||||
\(584\) | −0.642372 | + | 3.64307i | −0.0265815 | + | 0.150751i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.57882 | + | 48.6529i | 0.354388 | + | 2.00983i | ||||
\(587\) | −37.2045 | + | 24.4698i | −1.53559 | + | 1.00998i | −0.551125 | + | 0.834423i | \(0.685801\pi\) |
−0.984470 | + | 0.175553i | \(0.943829\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.08581 | + | 9.51789i | 0.291966 | + | 0.392178i | ||||
\(590\) | 0.00433289 | − | 0.0743929i | 0.000178382 | − | 0.00306271i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 16.9911 | + | 18.0095i | 0.698328 | + | 0.740185i | ||||
\(593\) | 0.181983 | + | 0.315204i | 0.00747314 | + | 0.0129439i | 0.869738 | − | 0.493514i | \(-0.164288\pi\) |
−0.862265 | + | 0.506458i | \(0.830955\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.0630381 | + | 0.109185i | −0.00258431 | + | 0.00447616i | ||||
\(596\) | −16.5681 | + | 3.92670i | −0.678655 | + | 0.160844i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.04761 | + | 2.03279i | −0.165519 | + | 0.0831268i | ||||
\(599\) | 27.7478 | − | 3.24326i | 1.13375 | − | 0.132516i | 0.471544 | − | 0.881842i | \(-0.343697\pi\) |
0.662201 | + | 0.749326i | \(0.269623\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.8668 | + | 9.47526i | 0.769593 | + | 0.386504i | 0.789857 | − | 0.613291i | \(-0.210155\pi\) |
−0.0202646 | + | 0.999795i | \(0.506451\pi\) | |||||||
\(602\) | 19.0580 | + | 6.93655i | 0.776746 | + | 0.282713i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 27.2469 | − | 9.91706i | 1.10866 | − | 0.403519i | ||||
\(605\) | 0.518801 | + | 0.0606392i | 0.0210923 | + | 0.00246533i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.9393 | + | 39.8800i | 0.484600 | + | 1.61868i | 0.754857 | + | 0.655889i | \(0.227706\pi\) |
−0.270257 | + | 0.962788i | \(0.587109\pi\) | |||||||
\(608\) | 9.24498 | + | 30.8804i | 0.374934 | + | 1.25237i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.376473 | − | 0.0440034i | −0.0152430 | − | 0.00178165i | ||||
\(611\) | −27.9136 | + | 10.1597i | −1.12926 | + | 0.411018i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.2653 | − | 5.19214i | −0.576170 | − | 0.209709i | 0.0374659 | − | 0.999298i | \(-0.488071\pi\) |
−0.613636 | + | 0.789589i | \(0.710294\pi\) | |||||||
\(614\) | 35.2690 | + | 17.7128i | 1.42334 | + | 0.714829i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.48504 | + | 0.407343i | −0.140416 | + | 0.0164123i | ||||
\(617\) | 32.6914 | − | 16.4183i | 1.31611 | − | 0.660974i | 0.354411 | − | 0.935090i | \(-0.384681\pi\) |
0.961697 | + | 0.274116i | \(0.0883852\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −19.6748 | + | 4.66302i | −0.790799 | + | 0.187423i | −0.606117 | − | 0.795376i | \(-0.707274\pi\) |
−0.184682 | + | 0.982798i | \(0.559125\pi\) | |||||||
\(620\) | 0.0680007 | − | 0.117781i | 0.00273097 | − | 0.00473018i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.7081 | − | 20.2790i | −0.469450 | − | 0.813112i | ||||
\(623\) | 10.4540 | + | 11.0806i | 0.418829 | + | 0.443933i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.45324 | + | 24.9512i | −0.0581297 | + | 0.998049i | ||||
\(626\) | 6.88319 | + | 9.24573i | 0.275108 | + | 0.369534i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.7225 | − | 8.36770i | 0.507682 | − | 0.333908i | ||||
\(629\) | 4.83308 | + | 27.4098i | 0.192707 | + | 1.09290i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.06905 | + | 6.06286i | −0.0425580 | + | 0.241358i | −0.998665 | − | 0.0516602i | \(-0.983549\pi\) |
0.956107 | + | 0.293019i | \(0.0946598\pi\) | |||||||
\(632\) | −0.489525 | − | 1.13485i | −0.0194723 | − | 0.0451418i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −12.0635 | − | 2.85910i | −0.479102 | − | 0.113549i | ||||
\(635\) | 0.271577 | − | 0.287855i | 0.0107772 | − | 0.0114232i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.21412 | + | 8.34702i | −0.246213 | + | 0.330721i | ||||
\(638\) | −52.9949 | − | 44.4680i | −2.09809 | − | 1.76051i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.0492363 | − | 0.0413141i | 0.00194623 | − | 0.00163308i | ||||
\(641\) | −2.38177 | − | 40.8934i | −0.0940742 | − | 1.61519i | −0.633900 | − | 0.773415i | \(-0.718547\pi\) |
0.539826 | − | 0.841776i | \(-0.318490\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.72465 | − | 22.5443i | 0.383503 | − | 0.889060i | −0.611687 | − | 0.791099i | \(-0.709509\pi\) |
0.995190 | − | 0.0979601i | \(-0.0312317\pi\) | |||||||
\(644\) | −2.77214 | − | 1.82326i | −0.109238 | − | 0.0718467i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.39829 | + | 31.3925i | −0.369771 | + | 1.23512i | ||||
\(647\) | −44.0995 | −1.73373 | −0.866866 | − | 0.498542i | \(-0.833869\pi\) | ||||
−0.866866 | + | 0.498542i | \(0.833869\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.5211 | −0.412990 | ||||||||
\(650\) | 6.44795 | − | 21.5376i | 0.252909 | − | 0.844776i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.51102 | − | 6.25549i | −0.372480 | − | 0.244984i | ||||
\(653\) | 3.90101 | − | 9.04355i | 0.152658 | − | 0.353902i | −0.824675 | − | 0.565606i | \(-0.808642\pi\) |
0.977334 | + | 0.211705i | \(0.0679015\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.000961862 | 0.0165145i | 3.75831e−5 | 0.000645276i | ||||||
\(656\) | −13.5279 | + | 11.3512i | −0.528174 | + | 0.443191i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −31.8953 | − | 26.7634i | −1.24341 | − | 1.04334i | ||||
\(659\) | 22.8178 | − | 30.6496i | 0.888855 | − | 1.19394i | −0.0913231 | − | 0.995821i | \(-0.529110\pi\) |
0.980178 | − | 0.198118i | \(-0.0634830\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.7200 | − | 23.0219i | 0.844810 | − | 0.895447i | −0.150845 | − | 0.988557i | \(-0.548200\pi\) |
0.995656 | + | 0.0931107i | \(0.0296810\pi\) | |||||||
\(662\) | 20.3475 | + | 4.82244i | 0.790827 | + | 0.187429i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.258002 | − | 0.598115i | −0.0100124 | − | 0.0232114i | ||||
\(665\) | 0.0215833 | − | 0.122405i | 0.000836965 | − | 0.00474666i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.983652 | − | 5.57857i | −0.0380872 | − | 0.216003i | ||||
\(668\) | 17.2858 | − | 11.3690i | 0.668807 | − | 0.439881i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.346533 | − | 0.465475i | −0.0133877 | − | 0.0179829i | ||||
\(671\) | −3.11163 | + | 53.4246i | −0.120123 | + | 2.06243i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.28061 | + | 6.65706i | 0.242100 | + | 0.256611i | 0.837018 | − | 0.547176i | \(-0.184297\pi\) |
−0.594918 | + | 0.803786i | \(0.702816\pi\) | |||||||
\(674\) | 9.32222 | + | 16.1466i | 0.359079 | + | 0.621942i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 8.94828 | − | 15.4989i | 0.344165 | − | 0.596111i | ||||
\(677\) | 1.30114 | − | 0.308376i | 0.0500069 | − | 0.0118519i | −0.205536 | − | 0.978649i | \(-0.565894\pi\) |
0.255543 | + | 0.966798i | \(0.417746\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 8.92681 | − | 4.48321i | 0.342580 | − | 0.172050i | ||||
\(680\) | 0.0323022 | − | 0.00377559i | 0.00123873 | − | 0.000144787i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −32.8326 | − | 16.4892i | −1.25723 | − | 0.631403i | ||||
\(683\) | −13.8418 | − | 5.03800i | −0.529642 | − | 0.192774i | 0.0633367 | − | 0.997992i | \(-0.479826\pi\) |
−0.592978 | + | 0.805218i | \(0.702048\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.0826203 | − | 0.0300713i | 0.00315676 | − | 0.00114897i | ||||
\(686\) | −35.8971 | − | 4.19577i | −1.37056 | − | 0.160195i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 6.77151 | + | 22.6184i | 0.258161 | + | 0.862319i | ||||
\(689\) | −5.97142 | − | 19.9459i | −0.227493 | − | 0.759880i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.9253 | − | 1.86141i | −0.605828 | − | 0.0708112i | −0.192352 | − | 0.981326i | \(-0.561612\pi\) |
−0.413476 | + | 0.910515i | \(0.635686\pi\) | |||||||
\(692\) | 18.5251 | − | 6.74259i | 0.704219 | − | 0.256315i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.55168 | + | 2.02065i | 0.210739 | + | 0.0767027i | ||||
\(695\) | −0.101736 | − | 0.0510936i | −0.00385905 | − | 0.00193809i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.7169 | + | 2.30458i | −0.746831 | + | 0.0872921i | ||||
\(698\) | −50.1141 | + | 25.1683i | −1.89685 | + | 0.952633i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 16.0253 | − | 3.79806i | 0.605698 | − | 0.143553i | ||||
\(701\) | 1.43354 | − | 2.48297i | 0.0541441 | − | 0.0937804i | −0.837683 | − | 0.546157i | \(-0.816090\pi\) |
0.891827 | + | 0.452376i | \(0.149424\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.7195 | − | 23.7629i | −0.517441 | − | 0.896234i | ||||
\(704\) | −38.9240 | − | 41.2571i | −1.46701 | − | 1.55493i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.330610 | − | 5.67636i | 0.0124427 | − | 0.213633i | ||||
\(707\) | −2.51477 | − | 3.37792i | −0.0945777 | − | 0.127040i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −18.2414 | + | 11.9975i | −0.685069 | + | 0.450577i | −0.843738 | − | 0.536755i | \(-0.819650\pi\) |
0.158669 | + | 0.987332i | \(0.449280\pi\) | |||||||
\(710\) | −0.0336439 | − | 0.190804i | −0.00126263 | − | 0.00716075i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.682370 | − | 3.86991i | 0.0255729 | − | 0.145031i | ||||
\(713\) | −1.19157 | − | 2.76238i | −0.0446247 | − | 0.103452i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.267168 | + | 0.0633200i | 0.00999152 | + | 0.00236803i | ||||
\(716\) | 14.5085 | − | 15.3781i | 0.542209 | − | 0.574708i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −22.7547 | + | 30.5649i | −0.849198 | + | 1.14067i | ||||
\(719\) | 11.5460 | + | 9.68821i | 0.430591 | + | 0.361309i | 0.832175 | − | 0.554513i | \(-0.187096\pi\) |
−0.401583 | + | 0.915822i | \(0.631540\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.21430 | + | 4.37531i | −0.194191 | + | 0.162945i | ||||
\(722\) | 0.382852 | + | 6.57332i | 0.0142483 | + | 0.244634i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −8.51010 | + | 19.7286i | −0.316275 | + | 0.733209i | ||||
\(725\) | 23.4914 | + | 15.4505i | 0.872449 | + | 0.573819i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.3809 | − | 51.3757i | 0.570445 | − | 1.90542i | 0.184788 | − | 0.982778i | \(-0.440840\pi\) |
0.385657 | − | 0.922642i | \(-0.373975\pi\) | |||||||
\(728\) | −1.28267 | −0.0475390 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.405748 | 0.0150174 | ||||||||
\(731\) | −7.61195 | + | 25.4257i | −0.281538 | + | 0.940402i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.05165 | + | 5.29565i | 0.297394 | + | 0.195599i | 0.689433 | − | 0.724349i | \(-0.257860\pi\) |
−0.392039 | + | 0.919949i | \(0.628230\pi\) | |||||||
\(734\) | −3.35348 | + | 7.77425i | −0.123779 | + | 0.286953i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.475194 | − | 8.15877i | −0.0175159 | − | 0.300736i | ||||
\(737\) | −62.7631 | + | 52.6645i | −2.31191 | + | 1.93992i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.1436 | − | 12.7070i | −0.557067 | − | 0.467435i | 0.320259 | − | 0.947330i | \(-0.396230\pi\) |
−0.877326 | + | 0.479895i | \(0.840675\pi\) | |||||||
\(740\) | −0.187803 | + | 0.252263i | −0.00690376 | + | 0.00927336i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 20.0269 | − | 21.2273i | 0.735211 | − | 0.779278i | ||||
\(743\) | −49.5365 | − | 11.7404i | −1.81732 | − | 0.430712i | −0.826163 | − | 0.563432i | \(-0.809481\pi\) |
−0.991154 | + | 0.132720i | \(0.957629\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.0640520 | + | 0.148489i | 0.00234668 | + | 0.00544022i | ||||
\(746\) | −1.38612 | + | 7.86105i | −0.0507493 | + | 0.287814i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −9.20818 | − | 52.2222i | −0.336685 | − | 1.90943i | ||||
\(749\) | 5.16929 | − | 3.39990i | 0.188882 | − | 0.124230i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.48620 | + | 1.99632i | 0.0542323 | + | 0.0728466i | 0.828412 | − | 0.560119i | \(-0.189245\pi\) |
−0.774180 | + | 0.632966i | \(0.781837\pi\) | |||||||
\(752\) | 2.81834 | − | 48.3891i | 0.102774 | − | 1.76457i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −17.3548 | − | 18.3950i | −0.632023 | − | 0.669905i | ||||
\(755\) | −0.137693 | − | 0.238491i | −0.00501116 | − | 0.00867959i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.1617 | + | 21.0647i | −0.442025 | + | 0.765610i | −0.997840 | − | 0.0656966i | \(-0.979073\pi\) |
0.555815 | + | 0.831306i | \(0.312406\pi\) | |||||||
\(758\) | 62.5283 | − | 14.8195i | 2.27113 | − | 0.538268i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.0286518 | + | 0.0143895i | −0.00103931 | + | 0.000521962i | ||||
\(761\) | −20.5191 | + | 2.39833i | −0.743815 | + | 0.0869395i | −0.479555 | − | 0.877512i | \(-0.659202\pi\) |
−0.264260 | + | 0.964451i | \(0.585128\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.9334 | + | 6.49539i | 0.468220 | + | 0.235149i | ||||
\(764\) | −7.26505 | − | 2.64426i | −0.262840 | − | 0.0956660i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −43.6234 | + | 15.8776i | −1.57618 | + | 0.573681i | ||||
\(767\) | −3.82012 | − | 0.446508i | −0.137937 | − | 0.0161225i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.76211 | + | 29.2675i | 0.315970 | + | 1.05541i | 0.957529 | + | 0.288338i | \(0.0931028\pi\) |
−0.641559 | + | 0.767074i | \(0.721712\pi\) | |||||||
\(770\) | 0.110377 | + | 0.368685i | 0.00397771 | + | 0.0132865i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −46.9732 | − | 5.49038i | −1.69060 | − | 0.197603i | ||||
\(773\) | 10.0042 | − | 3.64122i | 0.359825 | − | 0.130966i | −0.155780 | − | 0.987792i | \(-0.549789\pi\) |
0.515606 | + | 0.856826i | \(0.327567\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 14.0321 | + | 5.10725i | 0.504046 | + | 0.183458i | ||||
\(776\) | −2.30273 | − | 1.15647i | −0.0826630 | − | 0.0415149i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 32.4980 | − | 3.79847i | 1.16511 | − | 0.136182i | ||||
\(779\) | 17.4888 | − | 8.78318i | 0.626600 | − | 0.314690i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −26.6173 | + | 6.30843i | −0.952443 | + | 0.225733i | ||||
\(782\) | 4.15406 | − | 7.19504i | 0.148549 | − | 0.257294i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −8.49011 | − | 14.7053i | −0.303218 | − | 0.525189i | ||||
\(785\) | −0.0992475 | − | 0.105196i | −0.00354230 | − | 0.00375461i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.661014 | − | 11.3492i | 0.0235626 | − | 0.404555i | −0.965819 | − | 0.259216i | \(-0.916536\pi\) |
0.989382 | − | 0.145339i | \(-0.0464271\pi\) | |||||||
\(788\) | 21.6790 | + | 29.1200i | 0.772284 | + | 1.03736i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.113259 | + | 0.0744916i | −0.00402957 | + | 0.00265029i | ||||
\(791\) | −0.483497 | − | 2.74205i | −0.0171912 | − | 0.0974960i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.39710 | + | 19.2659i | −0.120634 | + | 0.684152i | ||||
\(794\) | −20.6624 | − | 47.9009i | −0.733282 | − | 1.69994i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −43.9893 | − | 10.4257i | −1.55916 | − | 0.369528i | ||||
\(797\) | −21.7922 | + | 23.0984i | −0.771919 | + | 0.818186i | −0.987387 | − | 0.158325i | \(-0.949391\pi\) |
0.215468 | + | 0.976511i | \(0.430872\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 32.5374 | − | 43.7053i | 1.15109 | − | 1.54618i | ||||
\(800\) | 31.0751 | + | 26.0751i | 1.09867 | + | 0.921893i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −15.4204 | + | 12.9392i | −0.544512 | + | 0.456900i | ||||
\(803\) | −3.33091 | − | 57.1896i | −0.117545 | − | 2.01818i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.0124815 | + | 0.0289355i | −0.000439917 | + | 0.00101984i | ||||
\(806\) | −11.2214 | − | 7.38045i | −0.395258 | − | 0.259965i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.311558 | + | 1.04068i | −0.0109606 | + | 0.0366108i | ||||
\(809\) | 13.8022 | 0.485261 | 0.242630 | − | 0.970119i | \(-0.421990\pi\) | ||||
0.242630 | + | 0.970119i | \(0.421990\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −45.3121 | −1.59112 | −0.795562 | − | 0.605873i | \(-0.792824\pi\) | ||||
−0.795562 | + | 0.605873i | \(0.792824\pi\) | |||||||
\(812\) | 5.31326 | − | 17.7475i | 0.186459 | − | 0.622816i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 70.9832 | + | 46.6864i | 2.48796 | + | 1.63636i | ||||
\(815\) | −0.0428233 | + | 0.0992757i | −0.00150004 | + | 0.00347747i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.52138 | − | 26.1211i | −0.0532263 | − | 0.913860i | ||||
\(818\) | 38.3352 | − | 32.1671i | 1.34036 | − | 1.12470i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.171829 | − | 0.144182i | −0.00600054 | − | 0.00503505i | ||||
\(821\) | −16.8517 | + | 22.6358i | −0.588129 | + | 0.789994i | −0.992190 | − | 0.124738i | \(-0.960191\pi\) |
0.404061 | + | 0.914732i | \(0.367598\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.36217 | − | 1.44381i | 0.0474822 | − | 0.0503282i | −0.703197 | − | 0.710995i | \(-0.748245\pi\) |
0.750679 | + | 0.660667i | \(0.229726\pi\) | |||||||
\(824\) | 1.70852 | + | 0.404927i | 0.0595192 | + | 0.0141063i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.13525 | − | 4.95007i | −0.0742950 | − | 0.172235i | ||||
\(827\) | −5.08225 | + | 28.8229i | −0.176727 | + | 1.00227i | 0.759404 | + | 0.650619i | \(0.225491\pi\) |
−0.936131 | + | 0.351650i | \(0.885621\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 4.01243 | + | 22.7556i | 0.139358 | + | 0.790336i | 0.971726 | + | 0.236113i | \(0.0758734\pi\) |
−0.832368 | + | 0.554223i | \(0.813015\pi\) | |||||||
\(830\) | −0.0596926 | + | 0.0392604i | −0.00207196 | + | 0.00136275i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −12.3820 | − | 16.6320i | −0.429270 | − | 0.576609i | ||||
\(833\) | 1.10985 | − | 19.0554i | 0.0384540 | − | 0.660230i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.134846 | − | 0.142928i | −0.00466653 | − | 0.00494623i | ||||
\(836\) | 26.1390 | + | 45.2740i | 0.904035 | + | 1.56583i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.45849 | + | 7.72233i | −0.154016 | + | 0.266763i | ||||
\(839\) | 4.80613 | − | 1.13907i | 0.165926 | − | 0.0393252i | −0.146813 | − | 0.989164i | \(-0.546902\pi\) |
0.312739 | + | 0.949839i | \(0.398753\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.34856 | − | 1.17949i | 0.0809849 | − | 0.0406722i | ||||
\(842\) | −2.57576 | + | 0.301063i | −0.0887666 | + | 0.0103753i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.25412 | + | 2.13650i | 0.146433 | + | 0.0735414i | ||||
\(845\) | −0.159723 | − | 0.0581343i | −0.00549463 | − | 0.00199988i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 35.5086 | − | 12.9241i | 1.22009 | − | 0.444076i | ||||
\(848\) | 33.7443 | + | 3.94414i | 1.15878 | + | 0.135442i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 11.8273 | + | 39.5058i | 0.405672 | + | 1.35504i | ||||
\(851\) | 1.99522 | + | 6.66449i | 0.0683952 | + | 0.228456i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 33.4776 | + | 3.91297i | 1.14625 | + | 0.133978i | 0.667942 | − | 0.744213i | \(-0.267175\pi\) |
0.478310 | + | 0.878191i | \(0.341249\pi\) | |||||||
\(854\) | −25.7672 | + | 9.37848i | −0.881734 | + | 0.320925i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.49976 | − | 0.545869i | −0.0512609 | − | 0.0186574i | ||||
\(857\) | 11.9854 | + | 6.01928i | 0.409413 | + | 0.205615i | 0.641572 | − | 0.767063i | \(-0.278283\pi\) |
−0.232159 | + | 0.972678i | \(0.574579\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.9583 | + | 2.91721i | −0.851567 | + | 0.0995339i | −0.530668 | − | 0.847580i | \(-0.678059\pi\) |
−0.320899 | + | 0.947114i | \(0.603985\pi\) | |||||||
\(860\) | −0.267996 | + | 0.134593i | −0.00913860 | + | 0.00458958i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 71.1379 | − | 16.8600i | 2.42297 | − | 0.574253i | ||||
\(863\) | 6.50193 | − | 11.2617i | 0.221328 | − | 0.383352i | −0.733883 | − | 0.679276i | \(-0.762294\pi\) |
0.955212 | + | 0.295924i | \(0.0956274\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.0936173 | − | 0.162150i | −0.00318308 | − | 0.00551326i | ||||
\(866\) | 45.4509 | + | 48.1752i | 1.54448 | + | 1.63706i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.572077 | − | 9.82218i | 0.0194176 | − | 0.333387i | ||||
\(869\) | 11.4293 | + | 15.3522i | 0.387711 | + | 0.520786i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −25.0237 | + | 16.4584i | −0.847896 | + | 0.557670i | ||||
\(872\) | −0.648290 | − | 3.67663i | −0.0219539 | − | 0.124507i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.42229 | + | 8.06620i | −0.0481096 | + | 0.272843i | ||||
\(875\) | −0.123912 | − | 0.287261i | −0.00418901 | − | 0.00971121i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.95662 | − | 2.12276i | −0.302443 | − | 0.0716804i | 0.0765922 | − | 0.997063i | \(-0.475596\pi\) |
−0.379036 | + | 0.925382i | \(0.623744\pi\) | |||||||
\(878\) | −12.4776 | + | 13.2255i | −0.421098 | + | 0.446338i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.267543 | + | 0.359373i | −0.00901889 | + | 0.0121145i | ||||
\(881\) | −13.6126 | − | 11.4223i | −0.458619 | − | 0.384827i | 0.384004 | − | 0.923331i | \(-0.374545\pi\) |
−0.842622 | + | 0.538505i | \(0.818989\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 30.2693 | − | 25.3990i | 1.01864 | − | 0.854744i | 0.0291877 | − | 0.999574i | \(-0.490708\pi\) |
0.989457 | + | 0.144830i | \(0.0462635\pi\) | |||||||
\(884\) | −1.12714 | − | 19.3522i | −0.0379097 | − | 0.650884i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.9039 | + | 25.2781i | −0.366324 | + | 0.849235i | ||||
\(887\) | −44.5438 | − | 29.2969i | −1.49563 | − | 0.983694i | −0.992861 | − | 0.119275i | \(-0.961943\pi\) |
−0.502773 | − | 0.864419i | \(-0.667687\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.21107 | − | 27.4269i | 0.275390 | − | 0.919868i | ||||
\(890\) | −0.431013 | −0.0144476 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 49.4334 | 1.65515 | ||||||||
\(893\) | −15.4061 | + | 51.4598i | −0.515544 | + | 1.72204i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.167764 | − | 0.110340i | −0.00560772 | − | 0.00368825i | ||||
\(896\) | 1.84168 | − | 4.26949i | 0.0615262 | − | 0.142634i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 2.12003 | + | 36.3995i | 0.0707463 | + | 1.21467i | ||||
\(899\) | 12.8675 | − | 10.7971i | 0.429155 | − | 0.360104i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 29.2557 | + | 24.5485i | 0.974650 | + | 0.817829i | ||||
\(902\) | −36.1857 | + | 48.6058i | −1.20485 | + | 1.61840i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.492886 | + | 0.522429i | −0.0163931 | + | 0.0173757i | ||||
\(905\) | 0.198562 | + | 0.0470600i | 0.00660042 | + | 0.00156433i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.21010 | − | 2.80532i | −0.0401807 | − | 0.0931493i | 0.896944 | − | 0.442145i | \(-0.145782\pi\) |
−0.937124 | + | 0.348995i | \(0.886523\pi\) | |||||||
\(908\) | 7.01657 | − | 39.7929i | 0.232853 | − | 1.32057i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.0244302 | + | 0.138550i | 0.000809852 | + | 0.00459290i | ||||
\(911\) | −12.9761 | + | 8.53455i | −0.429919 | + | 0.282762i | −0.745969 | − | 0.665980i | \(-0.768013\pi\) |
0.316050 | + | 0.948742i | \(0.397643\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.02373 | + | 8.09128i | 0.199356 | + | 0.267782i | ||||
\(914\) | −0.148509 | + | 2.54980i | −0.00491224 | + | 0.0843399i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 16.9733 | + | 17.9907i | 0.560814 | + | 0.594428i | ||||
\(917\) | 0.598373 | + | 1.03641i | 0.0197600 | + | 0.0342253i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.19749 | + | 7.27027i | −0.138462 | + | 0.239824i | −0.926915 | − | 0.375272i | \(-0.877549\pi\) |
0.788452 | + | 0.615096i | \(0.210883\pi\) | |||||||
\(920\) | 0.00790978 | − | 0.00187465i | 0.000260778 | − | 6.18055e-5i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 34.5089 | − | 17.3310i | 1.13649 | − | 0.570766i | ||||
\(923\) | −9.93223 | + | 1.16091i | −0.326923 | + | 0.0382118i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −30.8577 | − | 15.4973i | −1.01459 | − | 0.509548i | ||||
\(926\) | 22.8775 | + | 8.32674i | 0.751802 | + | 0.273634i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 42.8793 | − | 15.6068i | 1.40758 | − | 0.512318i | ||||
\(929\) | 25.5551 | + | 2.98697i | 0.838436 | + | 0.0979992i | 0.524464 | − | 0.851433i | \(-0.324266\pi\) |
0.313973 | + | 0.949432i | \(0.398340\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.39700 | + | 18.0272i | 0.176879 | + | 0.590818i | ||||
\(932\) | 10.3451 | + | 34.5549i | 0.338864 | + | 1.13188i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 14.0946 | + | 1.64742i | 0.461188 | + | 0.0539052i | ||||
\(935\) | −0.473261 | + | 0.172253i | −0.0154773 | + | 0.00563327i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −28.5906 | − | 10.4061i | −0.934015 | − | 0.339954i | −0.170215 | − | 0.985407i | \(-0.554446\pi\) |
−0.763800 | + | 0.645453i | \(0.776668\pi\) | |||||||
\(938\) | −37.5158 | − | 18.8411i | −1.22493 | − | 0.615185i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.611512 | − | 0.0714755i | 0.0199453 | − | 0.00233127i | ||||
\(941\) | 48.9474 | − | 24.5823i | 1.59564 | − | 0.801360i | 0.595640 | − | 0.803251i | \(-0.296898\pi\) |
0.999998 | + | 0.00189180i | \(0.000602179\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.82804 | + | 1.14427i | −0.157223 | + | 0.0372625i | ||||
\(944\) | 3.13795 | − | 5.43509i | 0.102132 | − | 0.176897i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 40.5082 | + | 70.1623i | 1.31704 | + | 2.28117i | ||||
\(947\) | −13.2900 | − | 14.0866i | −0.431868 | − | 0.457753i | 0.474492 | − | 0.880260i | \(-0.342632\pi\) |
−0.906360 | + | 0.422507i | \(0.861150\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.21766 | − | 20.9063i | 0.0395268 | − | 0.678649i | ||||
\(950\) | −24.2775 | − | 32.6104i | −0.787668 | − | 1.05802i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.96571 | − | 1.29287i | 0.0637090 | − | 0.0419021i | ||||
\(953\) | −1.98648 | − | 11.2659i | −0.0643484 | − | 0.364938i | −0.999930 | − | 0.0118276i | \(-0.996235\pi\) |
0.935582 | − | 0.353110i | \(-0.114876\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.0127507 | + | 0.0723128i | −0.000412603 | + | 0.00233999i | ||||
\(956\) | 9.50209 | + | 22.0283i | 0.307320 | + | 0.712447i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −72.5828 | − | 17.2024i | −2.34504 | − | 0.555786i | ||||
\(959\) | 4.36494 | − | 4.62657i | 0.140951 | − | 0.149400i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.1848 | + | 17.7102i | −0.425315 | + | 0.571297i | ||||
\(962\) | 23.7920 | + | 19.9638i | 0.767084 | + | 0.643660i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −33.4590 | + | 28.0754i | −1.07764 | + | 0.904248i | ||||
\(965\) | 0.0261167 | + | 0.448407i | 0.000840727 | + | 0.0144347i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.28298 | + | 5.29254i | −0.0734157 | + | 0.170197i | −0.950972 | − | 0.309277i | \(-0.899913\pi\) |
0.877556 | + | 0.479473i | \(0.159172\pi\) | |||||||
\(968\) | −8.14392 | − | 5.35634i | −0.261756 | − | 0.172159i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.0810602 | + | 0.270760i | −0.00260269 | + | 0.00869358i | ||||
\(971\) | −4.83812 | −0.155263 | −0.0776313 | − | 0.996982i | \(-0.524736\pi\) | ||||
−0.0776313 | + | 0.996982i | \(0.524736\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8.23596 | −0.264033 | ||||||||
\(974\) | −20.6094 | + | 68.8404i | −0.660369 | + | 2.20579i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −26.6705 | − | 17.5414i | −0.853701 | − | 0.561488i | ||||
\(977\) | 17.3215 | − | 40.1557i | 0.554163 | − | 1.28469i | −0.379052 | − | 0.925375i | \(-0.623750\pi\) |
0.933215 | − | 0.359319i | \(-0.116991\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.53832 | + | 60.7506i | 0.113085 | + | 1.94160i | ||||
\(980\) | 0.165221 | − | 0.138637i | 0.00527779 | − | 0.00442860i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 39.2898 | + | 32.9680i | 1.25379 | + | 1.05205i | ||||
\(983\) | 25.2437 | − | 33.9082i | 0.805150 | − | 1.08150i | −0.189868 | − | 0.981810i | \(-0.560806\pi\) |
0.995018 | − | 0.0996948i | \(-0.0317866\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.236613 | − | 0.250795i | 0.00753912 | − | 0.00799100i | ||||
\(986\) | 45.1375 | + | 10.6978i | 1.43747 | + | 0.340687i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.56941 | + | 17.5479i | 0.240815 | + | 0.558272i | ||||
\(989\) | −1.15195 | + | 6.53305i | −0.0366300 | + | 0.207739i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.65706 | − | 26.4115i | −0.147936 | − | 0.838989i | −0.964962 | − | 0.262388i | \(-0.915490\pi\) |
0.817026 | − | 0.576601i | \(-0.195621\pi\) | |||||||
\(992\) | 20.2474 | − | 13.3169i | 0.642855 | − | 0.422812i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −8.37001 | − | 11.2429i | −0.265481 | − | 0.356602i | ||||
\(995\) | −0.0249653 | + | 0.428638i | −0.000791453 | + | 0.0135887i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −15.1727 | − | 16.0821i | −0.480523 | − | 0.509325i | 0.441075 | − | 0.897470i | \(-0.354597\pi\) |
−0.921598 | + | 0.388146i | \(0.873116\pi\) | |||||||
\(998\) | 21.7006 | + | 37.5866i | 0.686922 | + | 1.18978i | ||||
\(999\) | 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 | 243.2.g.a.37.2 | 144 | ||
3.2 | odd | 2 | 81.2.g.a.49.7 | yes | 144 | ||
9.2 | odd | 6 | 729.2.g.d.595.2 | 144 | |||
9.4 | even | 3 | 729.2.g.b.109.2 | 144 | |||
9.5 | odd | 6 | 729.2.g.c.109.7 | 144 | |||
9.7 | even | 3 | 729.2.g.a.595.7 | 144 | |||
81.11 | odd | 54 | 729.2.g.d.136.2 | 144 | |||
81.16 | even | 27 | 729.2.g.b.622.2 | 144 | |||
81.23 | odd | 54 | 6561.2.a.c.1.13 | 72 | |||
81.38 | odd | 54 | 81.2.g.a.43.7 | ✓ | 144 | ||
81.43 | even | 27 | inner | 243.2.g.a.46.2 | 144 | ||
81.58 | even | 27 | 6561.2.a.d.1.60 | 72 | |||
81.65 | odd | 54 | 729.2.g.c.622.7 | 144 | |||
81.70 | even | 27 | 729.2.g.a.136.7 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.43.7 | ✓ | 144 | 81.38 | odd | 54 | ||
81.2.g.a.49.7 | yes | 144 | 3.2 | odd | 2 | ||
243.2.g.a.37.2 | 144 | 1.1 | even | 1 | trivial | ||
243.2.g.a.46.2 | 144 | 81.43 | even | 27 | inner | ||
729.2.g.a.136.7 | 144 | 81.70 | even | 27 | |||
729.2.g.a.595.7 | 144 | 9.7 | even | 3 | |||
729.2.g.b.109.2 | 144 | 9.4 | even | 3 | |||
729.2.g.b.622.2 | 144 | 81.16 | even | 27 | |||
729.2.g.c.109.7 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.622.7 | 144 | 81.65 | odd | 54 | |||
729.2.g.d.136.2 | 144 | 81.11 | odd | 54 | |||
729.2.g.d.595.2 | 144 | 9.2 | odd | 6 | |||
6561.2.a.c.1.13 | 72 | 81.23 | odd | 54 | |||
6561.2.a.d.1.60 | 72 | 81.58 | even | 27 |