Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(49,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 0, 46]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 73.6 | ||
Character | \(\chi\) | \(=\) | 804.73 |
Dual form | 804.2.y.b.793.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{20}{33}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.415415 | + | 0.909632i | −0.239840 | + | 0.525176i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.42078 | + | 1.00443i | 1.52982 | + | 0.449196i | 0.934995 | − | 0.354660i | \(-0.115403\pi\) |
0.594824 | + | 0.803856i | \(0.297222\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.977853 | + | 0.188466i | −0.369594 | + | 0.0712333i | −0.370666 | − | 0.928766i | \(-0.620871\pi\) |
0.00107274 | + | 0.999999i | \(0.499659\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.40572 | + | 4.20084i | −1.32837 | + | 1.26660i | −0.390071 | + | 0.920785i | \(0.627550\pi\) |
−0.938302 | + | 0.345816i | \(0.887602\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.140835 | + | 2.95649i | −0.0390606 | + | 0.819982i | 0.891317 | + | 0.453380i | \(0.149782\pi\) |
−0.930378 | + | 0.366602i | \(0.880521\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.33471 | + | 2.69440i | −0.602819 | + | 0.695690i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.551007 | + | 0.433317i | −0.133639 | + | 0.105095i | −0.682741 | − | 0.730661i | \(-0.739212\pi\) |
0.549102 | + | 0.835755i | \(0.314970\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.63529 | + | 0.315176i | 0.375161 | + | 0.0723063i | 0.373346 | − | 0.927692i | \(-0.378210\pi\) |
0.00181451 | + | 0.999998i | \(0.499422\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.234780 | − | 0.967778i | 0.0512333 | − | 0.211186i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.43676 | + | 0.328170i | −0.716613 | + | 0.0684282i | −0.446992 | − | 0.894538i | \(-0.647505\pi\) |
−0.269621 | + | 0.962966i | \(0.586899\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.48659 | + | 4.16868i | 1.29732 | + | 0.833735i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.959493 | − | 0.281733i | 0.184655 | − | 0.0542195i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.50438 | − | 2.60567i | 0.279357 | − | 0.483861i | −0.691868 | − | 0.722024i | \(-0.743212\pi\) |
0.971225 | + | 0.238163i | \(0.0765453\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.0616368 | + | 1.29392i | 0.0110703 | + | 0.232394i | 0.997621 | + | 0.0689382i | \(0.0219611\pi\) |
−0.986551 | + | 0.163456i | \(0.947736\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.99102 | − | 5.75267i | −0.346592 | − | 1.00141i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.53432 | − | 0.337487i | −0.597409 | − | 0.0570457i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.278348 | + | 0.482112i | 0.0457601 | + | 0.0792588i | 0.887998 | − | 0.459847i | \(-0.152096\pi\) |
−0.842238 | + | 0.539106i | \(0.818762\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.63081 | − | 1.35628i | −0.421267 | − | 0.217178i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.54034 | + | 2.61836i | 1.02143 | + | 0.408919i | 0.821085 | − | 0.570806i | \(-0.193369\pi\) |
0.200345 | + | 0.979725i | \(0.435794\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.813520 | − | 5.65815i | −0.124061 | − | 0.862861i | −0.952881 | − | 0.303345i | \(-0.901896\pi\) |
0.828820 | − | 0.559515i | \(-0.189013\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.48104 | − | 3.24302i | −0.220780 | − | 0.483440i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.03506 | + | 9.87937i | 1.02617 | + | 1.44105i | 0.893052 | + | 0.449953i | \(0.148559\pi\) |
0.133118 | + | 0.991100i | \(0.457501\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.57790 | + | 2.23305i | −0.796843 | + | 0.319008i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.165262 | − | 0.681220i | −0.0231413 | − | 0.0953899i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.324604 | − | 2.25767i | 0.0445878 | − | 0.310115i | −0.955307 | − | 0.295615i | \(-0.904475\pi\) |
0.999895 | − | 0.0144996i | \(-0.00461554\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −19.2904 | + | 9.94491i | −2.60112 | + | 1.34097i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.966018 | + | 1.35658i | −0.127952 | + | 0.179684i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.23296 | + | 1.43503i | −0.290706 | + | 0.186826i | −0.677863 | − | 0.735188i | \(-0.737094\pi\) |
0.387157 | + | 0.922014i | \(0.373457\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.49530 | − | 3.33276i | −0.447527 | − | 0.426716i | 0.432504 | − | 0.901632i | \(-0.357630\pi\) |
−0.880031 | + | 0.474916i | \(0.842479\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.782790 | + | 0.615593i | 0.0986223 | + | 0.0775574i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.45136 | + | 9.97204i | −0.428088 | + | 1.23688i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.01267 | − | 4.22167i | 0.856734 | − | 0.515759i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.12917 | − | 3.26251i | 0.135936 | − | 0.392760i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.29320 | − | 1.80339i | −0.272153 | − | 0.214023i | 0.472750 | − | 0.881197i | \(-0.343262\pi\) |
−0.744902 | + | 0.667174i | \(0.767504\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.73724 | + | 1.65645i | 0.203328 | + | 0.193873i | 0.784901 | − | 0.619621i | \(-0.212714\pi\) |
−0.581573 | + | 0.813495i | \(0.697562\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −6.48659 | + | 4.16868i | −0.749007 | + | 0.481357i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.51643 | − | 4.93813i | 0.400734 | − | 0.562752i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.94110 | + | 2.03178i | −0.443408 | + | 0.228593i | −0.665447 | − | 0.746445i | \(-0.731759\pi\) |
0.222039 | + | 0.975038i | \(0.428729\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.45986 | + | 14.2617i | 0.379769 | + | 1.56543i | 0.765884 | + | 0.642979i | \(0.222302\pi\) |
−0.386115 | + | 0.922451i | \(0.626183\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.32011 | + | 0.928833i | −0.251651 | + | 0.100746i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.74526 | + | 2.45087i | 0.187111 | + | 0.262761i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.77689 | + | 14.8393i | 0.718349 | + | 1.57296i | 0.816204 | + | 0.577764i | \(0.196075\pi\) |
−0.0978548 | + | 0.995201i | \(0.531198\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.419481 | − | 2.91755i | −0.0439735 | − | 0.305843i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.20259 | − | 0.481445i | −0.124703 | − | 0.0499235i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 5.27739 | + | 2.72068i | 0.541449 | + | 0.279136i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.358421 | − | 0.620803i | −0.0363921 | − | 0.0630330i | 0.847256 | − | 0.531185i | \(-0.178253\pi\) |
−0.883648 | + | 0.468152i | \(0.844920\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.05991 | + | 0.578652i | 0.609044 | + | 0.0581567i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.52188 | + | 4.39718i | 0.151433 | + | 0.437536i | 0.995046 | − | 0.0994151i | \(-0.0316972\pi\) |
−0.843613 | + | 0.536951i | \(0.819576\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.819338 | − | 17.2000i | −0.0807318 | − | 1.69477i | −0.569209 | − | 0.822193i | \(-0.692751\pi\) |
0.488477 | − | 0.872577i | \(-0.337553\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.77520 | − | 3.07473i | 0.173242 | − | 0.300063i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 16.9460 | − | 4.97580i | 1.63823 | − | 0.481029i | 0.672399 | − | 0.740189i | \(-0.265264\pi\) |
0.965834 | + | 0.259160i | \(0.0834459\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.0961584 | − | 0.0617972i | −0.00921030 | − | 0.00591910i | 0.536028 | − | 0.844200i | \(-0.319924\pi\) |
−0.545238 | + | 0.838281i | \(0.683561\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.554175 | + | 0.0529173i | −0.0525999 | + | 0.00502269i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.99456 | − | 8.22171i | 0.187633 | − | 0.773433i | −0.797737 | − | 0.603005i | \(-0.793970\pi\) |
0.985370 | − | 0.170428i | \(-0.0545150\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.0860 | − | 2.32939i | −1.12703 | − | 0.217216i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.32659 | − | 1.82965i | 0.215094 | − | 0.169151i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.457139 | − | 0.527566i | 0.0419058 | − | 0.0483619i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.23986 | − | 26.0279i | 0.112715 | − | 2.36617i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.09870 | + | 4.86160i | −0.459734 | + | 0.438356i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.32851 | + | 7.30349i | 0.566039 | + | 0.653244i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.74210 | + | 1.87764i | −0.864471 | + | 0.166613i | −0.602165 | − | 0.798372i | \(-0.705695\pi\) |
−0.262306 | + | 0.964985i | \(0.584483\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 5.48479 | + | 1.61048i | 0.482909 | + | 0.141795i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.64449 | − | 16.7391i | 0.667903 | − | 1.46250i | −0.207068 | − | 0.978327i | \(-0.566392\pi\) |
0.874971 | − | 0.484176i | \(-0.160881\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.65847 | −0.143808 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.56520 | 0.306843 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.99872 | + | 8.75597i | −0.341633 | + | 0.748073i | −0.999989 | − | 0.00463413i | \(-0.998525\pi\) |
0.658356 | + | 0.752707i | \(0.271252\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.320422 | − | 0.0940843i | −0.0271778 | − | 0.00798013i | 0.268115 | − | 0.963387i | \(-0.413599\pi\) |
−0.295293 | + | 0.955407i | \(0.595417\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −11.9091 | + | 2.29528i | −1.00292 | + | 0.193298i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −11.7993 | − | 13.6171i | −0.986704 | − | 1.13872i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 7.76339 | − | 7.40237i | 0.644714 | − | 0.614734i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.285886 | − | 6.00148i | 0.0235795 | − | 0.494994i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 12.8007 | − | 14.7728i | 1.04867 | − | 1.21023i | 0.0715786 | − | 0.997435i | \(-0.477196\pi\) |
0.977096 | − | 0.212800i | \(-0.0682582\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.91058 | − | 7.79377i | 0.806512 | − | 0.634248i | −0.127360 | − | 0.991857i | \(-0.540650\pi\) |
0.933871 | + | 0.357609i | \(0.116408\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.688312 | + | 0.132661i | 0.0556467 | + | 0.0107250i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.08880 | + | 4.48811i | −0.0874549 | + | 0.360494i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.45408 | + | 0.425313i | −0.355474 | + | 0.0339437i | −0.271266 | − | 0.962504i | \(-0.587442\pi\) |
−0.0842086 | + | 0.996448i | \(0.526836\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.91880 | + | 1.23314i | 0.152171 | + | 0.0977944i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.29879 | − | 0.968613i | 0.259981 | − | 0.0763374i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.20504 | − | 10.7474i | 0.486016 | − | 0.841805i | −0.513855 | − | 0.857877i | \(-0.671783\pi\) |
0.999871 | + | 0.0160726i | \(0.00511629\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.03267 | − | 21.6785i | −0.0803935 | − | 1.68767i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.03400 | + | 20.3234i | 0.544307 | + | 1.57267i | 0.796274 | + | 0.604937i | \(0.206802\pi\) |
−0.251966 | + | 0.967736i | \(0.581077\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.22015 | + | 0.402975i | 0.324627 | + | 0.0309981i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.832692 | − | 1.44226i | −0.0636776 | − | 0.110293i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 12.1009 | + | 6.23844i | 0.920013 | + | 0.474300i | 0.852093 | − | 0.523391i | \(-0.175333\pi\) |
0.0679207 | + | 0.997691i | \(0.478364\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.12858 | − | 2.85385i | −0.538870 | − | 0.215731i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.377749 | − | 2.62730i | −0.0283934 | − | 0.197480i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −8.91766 | − | 19.5270i | −0.666537 | − | 1.45951i | −0.876303 | − | 0.481761i | \(-0.839997\pi\) |
0.209765 | − | 0.977752i | \(-0.432730\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.337106 | − | 0.473399i | −0.0250569 | − | 0.0351875i | 0.801857 | − | 0.597515i | \(-0.203845\pi\) |
−0.826914 | + | 0.562328i | \(0.809906\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.48358 | − | 1.79496i | 0.331436 | − | 0.132687i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.467918 | + | 1.92878i | 0.0344020 | + | 0.141807i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.607286 | − | 4.22376i | 0.0444091 | − | 0.308872i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.885146 | + | 0.456324i | −0.0643849 | + | 0.0331927i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.413610 | − | 0.580835i | 0.0299278 | − | 0.0420277i | −0.799341 | − | 0.600878i | \(-0.794818\pi\) |
0.829269 | + | 0.558850i | \(0.188757\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.3684 | − | 12.4473i | 1.39417 | − | 0.895979i | 0.394434 | − | 0.918924i | \(-0.370941\pi\) |
0.999737 | + | 0.0229451i | \(0.00730428\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −7.63714 | − | 7.28200i | −0.546907 | − | 0.521475i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −15.0701 | − | 11.8512i | −1.07370 | − | 0.844366i | −0.0853159 | − | 0.996354i | \(-0.527190\pi\) |
−0.988382 | + | 0.151988i | \(0.951432\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.46068 | + | 4.22036i | −0.103545 | + | 0.299174i | −0.984859 | − | 0.173358i | \(-0.944538\pi\) |
0.881314 | + | 0.472531i | \(0.156660\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.926998 | + | 8.13269i | 0.0653854 | + | 0.573636i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.979987 | + | 2.83149i | −0.0687816 | + | 0.198731i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 19.7431 | + | 15.5262i | 1.37892 | + | 1.08439i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.49861 | + | 2.38242i | 0.173665 | + | 0.165590i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −8.52862 | + | 5.48101i | −0.589937 | + | 0.379129i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.3928 | + | 18.8076i | −0.922000 | + | 1.29477i | 0.0333967 | + | 0.999442i | \(0.489368\pi\) |
−0.955397 | + | 0.295326i | \(0.904572\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.59305 | − | 1.33681i | 0.177673 | − | 0.0915968i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.90036 | − | 20.1724i | 0.197803 | − | 1.37575i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.304130 | − | 1.25364i | −0.0206457 | − | 0.0851028i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.22844 | + | 0.892132i | −0.150584 | + | 0.0602847i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.20350 | − | 1.69007i | −0.0809558 | − | 0.113687i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.17921 | + | 17.9100i | 0.547720 | + | 1.19934i | 0.957838 | + | 0.287308i | \(0.0927602\pi\) |
−0.410118 | + | 0.912032i | \(0.634512\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.09734 | − | 7.63214i | −0.0731557 | − | 0.508809i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 8.38429 | + | 3.35656i | 0.556485 | + | 0.222783i | 0.632820 | − | 0.774299i | \(-0.281897\pi\) |
−0.0763346 | + | 0.997082i | \(0.524322\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.7300 | − | 6.56279i | −0.841224 | − | 0.433681i | −0.0169392 | − | 0.999857i | \(-0.505392\pi\) |
−0.824285 | + | 0.566175i | \(0.808422\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.03110 | + | 5.25003i | 0.199432 | + | 0.345426i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.259237 | − | 0.0247542i | −0.0169832 | − | 0.00162170i | 0.0865610 | − | 0.996247i | \(-0.472412\pi\) |
−0.103544 | + | 0.994625i | \(0.533018\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 14.1423 | + | 40.8614i | 0.922539 | + | 2.66550i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.210978 | − | 4.42898i | −0.0137045 | − | 0.287693i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.7373 | − | 22.0617i | 0.823909 | − | 1.42705i | −0.0788405 | − | 0.996887i | \(-0.525122\pi\) |
0.902750 | − | 0.430166i | \(-0.141545\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.21683 | + | 2.41268i | −0.529293 | + | 0.155414i | −0.535450 | − | 0.844567i | \(-0.679858\pi\) |
0.00615776 | + | 0.999981i | \(0.498040\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.841254 | − | 0.540641i | −0.0539664 | − | 0.0346821i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −21.3237 | + | 2.03617i | −1.36232 | + | 0.130086i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.16212 | + | 4.79032i | −0.0739439 | + | 0.304801i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −14.4102 | − | 2.77734i | −0.913210 | − | 0.176007i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −10.5376 | + | 8.28684i | −0.665126 | + | 0.523061i | −0.892672 | − | 0.450707i | \(-0.851172\pi\) |
0.227546 | + | 0.973767i | \(0.426930\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.7628 | − | 15.8831i | 0.865258 | − | 0.998561i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.118913 | − | 2.49630i | 0.00744664 | − | 0.156324i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −6.73956 | + | 6.42616i | −0.420402 | + | 0.400853i | −0.870533 | − | 0.492110i | \(-0.836226\pi\) |
0.450131 | + | 0.892963i | \(0.351377\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.363045 | − | 0.418976i | −0.0225585 | − | 0.0260339i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.95440 | + | 0.569413i | −0.182873 | + | 0.0352458i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 9.36499 | + | 2.74981i | 0.577470 | + | 0.169560i | 0.557409 | − | 0.830238i | \(-0.311796\pi\) |
0.0200613 | + | 0.999799i | \(0.493614\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.37808 | − | 7.39695i | 0.207514 | − | 0.454391i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −16.3135 | −0.998373 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 23.9821 | 1.46222 | 0.731108 | − | 0.682262i | \(-0.239004\pi\) | ||||
0.731108 | + | 0.682262i | \(0.239004\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.379180 | − | 0.830288i | 0.0230335 | − | 0.0504364i | −0.897766 | − | 0.440474i | \(-0.854811\pi\) |
0.920799 | + | 0.390037i | \(0.127538\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.82816 | + | 0.830422i | 0.171168 | + | 0.0502594i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −46.0900 | + | 8.88312i | −2.77933 | + | 0.535672i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.58298 | − | 8.75123i | −0.455617 | − | 0.525810i | 0.480738 | − | 0.876864i | \(-0.340369\pi\) |
−0.936355 | + | 0.351054i | \(0.885823\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.937513 | − | 0.893917i | 0.0561274 | − | 0.0535174i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.05250 | + | 22.0947i | −0.0627870 | + | 1.31806i | 0.719216 | + | 0.694786i | \(0.244501\pi\) |
−0.782003 | + | 0.623274i | \(0.785802\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.55858 | − | 11.0312i | 0.568199 | − | 0.655736i | −0.396826 | − | 0.917894i | \(-0.629889\pi\) |
0.965025 | + | 0.262157i | \(0.0844340\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.66713 | + | 3.67027i | −0.276457 | + | 0.217408i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −6.88896 | − | 1.32774i | −0.406643 | − | 0.0783739i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.89206 | + | 16.0433i | −0.228944 | + | 0.943722i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.713596 | − | 0.0681401i | 0.0418317 | − | 0.00399445i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 14.1046 | + | 9.06449i | 0.824000 | + | 0.529553i | 0.883366 | − | 0.468683i | \(-0.155271\pi\) |
−0.0593658 | + | 0.998236i | \(0.518908\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.07985 | + | 2.66608i | −0.528649 | + | 0.155225i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.04374 | + | 5.27191i | −0.176616 | + | 0.305907i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.486217 | − | 10.2069i | −0.0281186 | − | 0.590283i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.86187 | + | 5.37952i | 0.107316 | + | 0.310070i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.63203 | − | 0.442305i | −0.266103 | − | 0.0254098i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −8.60911 | − | 14.9114i | −0.492956 | − | 0.853826i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.41826 | + | 4.33992i | 0.480456 | + | 0.247692i | 0.681401 | − | 0.731910i | \(-0.261371\pi\) |
−0.200945 | + | 0.979602i | \(0.564401\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 15.9861 | + | 6.39985i | 0.909415 | + | 0.364075i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0.881308 | + | 6.12963i | 0.0499744 | + | 0.347579i | 0.999432 | + | 0.0336856i | \(0.0107245\pi\) |
−0.949458 | + | 0.313894i | \(0.898366\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.4435 | − | 29.4372i | −0.759872 | − | 1.66389i | −0.747767 | − | 0.663961i | \(-0.768874\pi\) |
−0.0121049 | − | 0.999927i | \(-0.503853\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.05943 | + | 2.89207i | 0.116036 | + | 0.162950i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 12.6397 | − | 5.06016i | 0.709914 | − | 0.284207i | 0.0115339 | − | 0.999933i | \(-0.496329\pi\) |
0.698381 | + | 0.715727i | \(0.253904\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.31812 | + | 17.7995i | 0.241768 | + | 0.996582i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.51348 | + | 17.4817i | −0.140289 | + | 0.975731i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.03763 | + | 0.534934i | −0.0577351 | + | 0.0297645i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.2382 | + | 18.5904i | −0.734322 | + | 1.03121i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.0961584 | − | 0.0617972i | 0.00531757 | − | 0.00341739i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −8.74118 | − | 8.33470i | −0.481917 | − | 0.459507i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.40487 | − | 5.82325i | −0.407008 | − | 0.320075i | 0.393579 | − | 0.919291i | \(-0.371237\pi\) |
−0.800588 | + | 0.599216i | \(0.795479\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.182077 | − | 0.526078i | 0.00997777 | − | 0.0288289i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 28.2292 | − | 7.39766i | 1.54232 | − | 0.404177i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.0728 | − | 29.1035i | 0.548702 | − | 1.58537i | −0.240116 | − | 0.970744i | \(-0.577185\pi\) |
0.788818 | − | 0.614627i | \(-0.210693\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.65016 | + | 5.22974i | 0.361187 | + | 0.284041i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.70709 | − | 5.44170i | −0.309056 | − | 0.294684i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.8978 | − | 7.00362i | 0.588428 | − | 0.378160i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 7.13959 | − | 10.0262i | 0.384383 | − | 0.539790i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −25.1251 | + | 12.9529i | −1.34878 | + | 0.695347i | −0.972880 | − | 0.231311i | \(-0.925698\pi\) |
−0.375905 | + | 0.926658i | \(0.622668\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.89710 | + | 13.1946i | −0.101549 | + | 0.706290i | 0.873906 | + | 0.486094i | \(0.161579\pi\) |
−0.975456 | + | 0.220196i | \(0.929330\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.697809 | + | 2.87641i | 0.0372463 | + | 0.153531i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 9.31018 | − | 3.72724i | 0.495531 | − | 0.198381i | −0.110416 | − | 0.993885i | \(-0.535218\pi\) |
0.605947 | + | 0.795505i | \(0.292794\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.03315 | − | 8.47237i | −0.320206 | − | 0.449667i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.289989 | + | 0.634987i | 0.0153478 | + | 0.0336071i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −0.341539 | − | 2.37545i | −0.0180257 | − | 0.125372i | 0.978822 | − | 0.204715i | \(-0.0656267\pi\) |
−0.996847 | + | 0.0793433i | \(0.974718\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.0642 | − | 6.03078i | −0.792850 | − | 0.317409i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 23.1607 | + | 11.9402i | 1.21562 | + | 0.626697i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.27892 | + | 7.41130i | 0.223969 | + | 0.387925i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 28.3777 | + | 2.70975i | 1.48131 | + | 0.141448i | 0.804165 | − | 0.594406i | \(-0.202613\pi\) |
0.677141 | + | 0.735853i | \(0.263219\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −2.30419 | − | 6.65752i | −0.119951 | − | 0.346577i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.108078 | + | 2.26885i | 0.00561115 | + | 0.117793i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.1311 | − | 19.2796i | 0.576344 | − | 0.998258i | −0.419550 | − | 0.907732i | \(-0.637812\pi\) |
0.995894 | − | 0.0905253i | \(-0.0288546\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −9.27244 | + | 2.72263i | −0.478827 | + | 0.140596i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 7.49176 | + | 4.81466i | 0.385845 | + | 0.247968i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.1609 | + | 1.63867i | −0.881497 | + | 0.0841728i | −0.525980 | − | 0.850497i | \(-0.676301\pi\) |
−0.355517 | + | 0.934670i | \(0.615695\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.33906 | − | 9.64172i | 0.119833 | − | 0.493960i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0.260914 | + | 0.0502870i | 0.0133321 | + | 0.00256954i | 0.195913 | − | 0.980621i | \(-0.437233\pi\) |
−0.182581 | + | 0.983191i | \(0.558445\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 16.9889 | − | 13.3602i | 0.865836 | − | 0.680901i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.74341 | + | 4.32012i | −0.190288 | + | 0.219604i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.246827 | − | 5.18155i | 0.0125147 | − | 0.262715i | −0.983935 | − | 0.178526i | \(-0.942867\pi\) |
0.996450 | − | 0.0841887i | \(-0.0268299\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.75147 | − | 1.67003i | 0.0885759 | − | 0.0844569i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 12.0508 | + | 13.9074i | 0.607882 | + | 0.701533i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −15.5224 | + | 2.99170i | −0.781017 | + | 0.150529i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.6967 | + | 4.60897i | 0.787795 | + | 0.231318i | 0.650795 | − | 0.759254i | \(-0.274436\pi\) |
0.137000 | + | 0.990571i | \(0.456254\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.688954 | − | 1.50860i | 0.0344908 | − | 0.0755244i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −16.3535 | −0.816653 | −0.408326 | − | 0.912836i | \(-0.633887\pi\) | ||||
−0.408326 | + | 0.912836i | \(0.633887\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.83413 | −0.190992 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.48104 | + | 3.24302i | −0.0735933 | + | 0.161147i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.25160 | − | 0.954756i | −0.161176 | − | 0.0473255i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.70363 | − | 1.87022i | 0.479813 | − | 0.0924765i | 0.0563909 | − | 0.998409i | \(-0.482041\pi\) |
0.423423 | + | 0.905932i | \(0.360829\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.30358 | − | 7.27472i | −0.310933 | − | 0.358835i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.91305 | − | 1.82409i | 0.0941350 | − | 0.0897575i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.48952 | + | 52.2615i | −0.122206 | + | 2.56542i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.218690 | − | 0.252382i | 0.0107093 | − | 0.0123592i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −31.1583 | + | 24.5032i | −1.52218 | + | 1.19706i | −0.606551 | + | 0.795045i | \(0.707447\pi\) |
−0.915634 | + | 0.402014i | \(0.868310\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −38.9298 | − | 7.50310i | −1.89732 | − | 0.365679i | −0.899816 | − | 0.436269i | \(-0.856300\pi\) |
−0.997505 | + | 0.0705900i | \(0.977512\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.85934 | − | 11.7864i | 0.139026 | − | 0.573072i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −5.38051 | + | 0.513777i | −0.260993 | + | 0.0249218i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.04600 | + | 2.60020i | 0.195799 | + | 0.125833i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 17.2881 | − | 5.07625i | 0.834678 | − | 0.245084i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2.04057 | − | 3.53437i | 0.0982908 | − | 0.170245i | −0.812686 | − | 0.582701i | \(-0.801996\pi\) |
0.910977 | + | 0.412457i | \(0.135329\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.13320 | + | 23.7887i | 0.0544579 | + | 1.14321i | 0.846377 | + | 0.532585i | \(0.178779\pi\) |
−0.791919 | + | 0.610627i | \(0.790918\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.50841 | + | 10.1369i | 0.168215 | + | 0.486026i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −5.72352 | − | 0.546530i | −0.273793 | − | 0.0261441i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.47183 | + | 4.28133i | 0.117974 | + | 0.204337i | 0.918965 | − | 0.394340i | \(-0.129027\pi\) |
−0.800991 | + | 0.598677i | \(0.795693\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.34038 | + | 2.75316i | 0.254304 | + | 0.131103i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −12.7828 | − | 5.11748i | −0.607331 | − | 0.243139i | 0.0475522 | − | 0.998869i | \(-0.484858\pi\) |
−0.654883 | + | 0.755730i | \(0.727282\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.27717 | + | 57.5690i | 0.392375 | + | 2.72903i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 8.12021 | + | 17.7808i | 0.384073 | + | 0.841002i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 19.4935 | + | 27.3748i | 0.919956 | + | 1.29190i | 0.956248 | + | 0.292557i | \(0.0945060\pi\) |
−0.0362918 | + | 0.999341i | \(0.511555\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −39.8142 | + | 15.9392i | −1.87478 | + | 0.750548i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.97246 | + | 12.2526i | 0.139658 | + | 0.575679i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.49553 | − | 10.4016i | 0.0701116 | − | 0.487637i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −29.8631 | + | 15.3955i | −1.39694 | + | 0.720172i | −0.981859 | − | 0.189613i | \(-0.939277\pi\) |
−0.415080 | + | 0.909785i | \(0.636246\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.406608 | + | 0.571001i | −0.0189788 | + | 0.0266520i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −15.4882 | + | 9.95367i | −0.721358 | + | 0.463588i | −0.849109 | − | 0.528218i | \(-0.822860\pi\) |
0.127751 | + | 0.991806i | \(0.459224\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.62976 | − | 3.46097i | −0.168689 | − | 0.160845i | 0.601032 | − | 0.799225i | \(-0.294756\pi\) |
−0.769721 | + | 0.638380i | \(0.779605\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.63022 | − | 2.85484i | −0.168348 | − | 0.132390i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 7.24686 | − | 20.9384i | 0.335345 | − | 0.968915i | −0.643701 | − | 0.765277i | \(-0.722602\pi\) |
0.979046 | − | 0.203638i | \(-0.0652766\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.06172 | + | 5.44982i | −0.279904 | + | 0.251649i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.46341 | − | 4.22826i | 0.0674306 | − | 0.194828i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 27.3531 | + | 21.5108i | 1.25770 | + | 0.989065i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.29358 | + | 8.86141i | 0.426418 | + | 0.406589i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.91880 | + | 1.23314i | −0.0878560 | + | 0.0564616i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 5.46495 | − | 7.67445i | 0.249700 | − | 0.350655i | −0.670634 | − | 0.741789i | \(-0.733978\pi\) |
0.920334 | + | 0.391134i | \(0.127917\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.46456 | + | 0.755034i | −0.0667782 | + | 0.0344266i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.489287 | + | 3.40306i | −0.0222633 | + | 0.154845i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.602525 | − | 2.48364i | −0.0273592 | − | 0.112776i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 24.3275 | − | 9.73928i | 1.10239 | − | 0.441329i | 0.252128 | − | 0.967694i | \(-0.418870\pi\) |
0.850259 | + | 0.526365i | \(0.176445\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.19855 | + | 10.1090i | 0.325530 | + | 0.457143i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −7.92338 | − | 17.3498i | −0.357577 | − | 0.782985i | −0.999864 | − | 0.0165200i | \(-0.994741\pi\) |
0.642286 | − | 0.766465i | \(-0.277986\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.300154 | + | 2.08762i | 0.0135183 | + | 0.0940216i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 20.1484 | + | 8.06621i | 0.905604 | + | 0.362549i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.58229 | + | 1.33126i | 0.115831 | + | 0.0597153i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.136988 | − | 0.237270i | −0.00613243 | − | 0.0106217i | 0.862943 | − | 0.505301i | \(-0.168619\pi\) |
−0.869075 | + | 0.494680i | \(0.835285\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −21.4089 | − | 2.04430i | −0.956477 | − | 0.0913325i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.69163 | + | 7.77697i | 0.120014 | + | 0.346758i | 0.988967 | − | 0.148137i | \(-0.0473277\pi\) |
−0.868953 | + | 0.494895i | \(0.835207\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.789346 | + | 16.5704i | 0.0351255 | + | 0.737374i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −2.11967 | + | 3.67138i | −0.0941379 | + | 0.163052i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −31.8549 | + | 9.35343i | −1.41194 | + | 0.414584i | −0.896768 | − | 0.442502i | \(-0.854091\pi\) |
−0.515175 | + | 0.857085i | \(0.672273\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.01095 | − | 1.29236i | −0.0889591 | − | 0.0571705i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.65784 | − | 0.158305i | 0.0731956 | − | 0.00698933i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 14.4735 | − | 59.6605i | 0.637778 | − | 2.62896i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −72.4961 | − | 13.9725i | −3.18838 | − | 0.614509i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −10.7016 | + | 8.41581i | −0.469747 | + | 0.369413i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −28.2385 | + | 32.5889i | −1.23715 | + | 1.42775i | −0.370500 | + | 0.928833i | \(0.620814\pi\) |
−0.866651 | + | 0.498915i | \(0.833732\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.72801 | − | 36.2753i | 0.0755605 | − | 1.58621i | −0.569443 | − | 0.822031i | \(-0.692841\pi\) |
0.645004 | − | 0.764179i | \(-0.276856\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 5.55728 | − | 5.29885i | 0.242539 | − | 0.231261i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.594638 | − | 0.686249i | −0.0259028 | − | 0.0298935i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10.8808 | + | 2.09710i | −0.473077 | + | 0.0911781i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.54680 | + | 0.747809i | 0.110522 | + | 0.0324521i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.66226 | + | 18.9677i | −0.375204 | + | 0.821582i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 62.9664 | 2.72228 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 21.4669 | 0.926364 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 15.1939 | − | 33.2701i | 0.654449 | − | 1.43304i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 40.3725 | + | 11.8544i | 1.73575 | + | 0.509662i | 0.988018 | − | 0.154338i | \(-0.0493243\pi\) |
0.747733 | + | 0.664000i | \(0.231143\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.570658 | − | 0.109985i | 0.0244893 | − | 0.00471992i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.266866 | − | 0.307979i | −0.0114313 | − | 0.0131924i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.9127 | + | 19.9402i | −0.894163 | + | 0.852583i | −0.989746 | − | 0.142839i | \(-0.954377\pi\) |
0.0955830 | + | 0.995421i | \(0.469528\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.229798 | + | 4.82406i | −0.00980756 | + | 0.205886i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.28135 | − | 3.78688i | 0.139790 | − | 0.161326i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.47089 | − | 2.72954i | 0.147597 | − | 0.116072i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.94886 | − | 0.375612i | −0.0827246 | − | 0.0159439i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −7.25372 | + | 29.9002i | −0.307350 | + | 1.26691i | 0.583313 | + | 0.812248i | \(0.301756\pi\) |
−0.890662 | + | 0.454665i | \(0.849759\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 16.8428 | − | 1.60830i | 0.712376 | − | 0.0680237i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.58980 | + | 2.30702i | 0.151561 | + | 0.0974025i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 29.6648 | − | 8.71036i | 1.25022 | − | 0.367098i | 0.411375 | − | 0.911466i | \(-0.365049\pi\) |
0.838846 | + | 0.544368i | \(0.183231\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 15.0811 | − | 26.1213i | 0.634467 | − | 1.09893i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.0473844 | − | 0.994721i | −0.00198996 | − | 0.0417744i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −5.30220 | − | 15.3197i | −0.222280 | − | 0.642235i | −0.999909 | − | 0.0135117i | \(-0.995699\pi\) |
0.777629 | − | 0.628723i | \(-0.216422\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.3789 | − | 1.56399i | −0.685434 | − | 0.0654510i | −0.253472 | − | 0.967343i | \(-0.581573\pi\) |
−0.431962 | + | 0.901892i | \(0.642179\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.356526 | + | 0.617521i | 0.0148941 | + | 0.0257973i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −23.6609 | − | 12.1980i | −0.986726 | − | 0.508692i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.47711 | − | 2.19271i | −0.228015 | − | 0.0912835i | 0.254842 | − | 0.966983i | \(-0.417977\pi\) |
−0.482857 | + | 0.875699i | \(0.660401\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 3.27656 | + | 22.7890i | 0.136169 | + | 0.947077i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.07108 | − | 13.2938i | −0.251871 | − | 0.551521i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.05400 | + | 11.3103i | 0.333563 | + | 0.468423i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 9.79652 | − | 3.92194i | 0.405036 | − | 0.162152i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.99559 | − | 20.5921i | −0.206190 | − | 0.849927i | −0.977065 | − | 0.212941i | \(-0.931696\pi\) |
0.770875 | − | 0.636986i | \(-0.219819\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.307017 | + | 2.13535i | −0.0126504 | + | 0.0879857i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 17.0406 | − | 8.78504i | 0.700957 | − | 0.361368i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −5.98436 | + | 8.40385i | −0.245748 | + | 0.345105i | −0.918964 | − | 0.394341i | \(-0.870973\pi\) |
0.673216 | + | 0.739446i | \(0.264912\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.09367 | − | 1.34552i | 0.0858323 | − | 0.0551611i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.23219 | − | 3.08189i | −0.132285 | − | 0.126133i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −21.9505 | − | 17.2621i | −0.896874 | − | 0.705309i | 0.0592590 | − | 0.998243i | \(-0.481126\pi\) |
−0.956133 | + | 0.292933i | \(0.905369\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.46864 | + | 7.13268i | −0.100698 | + | 0.290948i | −0.984086 | − | 0.177695i | \(-0.943136\pi\) |
0.883387 | + | 0.468643i | \(0.155257\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −7.78285 | − | 2.53521i | −0.316942 | − | 0.103242i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 30.3845 | − | 87.7903i | 1.23531 | − | 3.56918i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.37156 | + | 4.22424i | 0.218025 | + | 0.171457i | 0.721198 | − | 0.692729i | \(-0.243592\pi\) |
−0.503173 | + | 0.864186i | \(0.667834\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.16851 | − | 2.06767i | −0.0878724 | − | 0.0837862i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −30.1990 | + | 19.4077i | −1.22172 | + | 0.785153i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.5952 | + | 19.0918i | −0.549104 | + | 0.771109i | −0.992105 | − | 0.125413i | \(-0.959975\pi\) |
0.443001 | + | 0.896521i | \(0.353914\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −22.3247 | + | 11.5092i | −0.900218 | + | 0.464095i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −0.200811 | + | 1.39667i | −0.00808434 | + | 0.0562279i | −0.993464 | − | 0.114143i | \(-0.963588\pi\) |
0.985380 | + | 0.170371i | \(0.0544967\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.01310 | − | 16.5422i | −0.161300 | − | 0.664889i | −0.993831 | − | 0.110909i | \(-0.964624\pi\) |
0.832530 | − | 0.553980i | \(-0.186891\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.20509 | + | 1.28312i | −0.128616 | + | 0.0514899i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −9.42350 | − | 13.2335i | −0.377545 | − | 0.530187i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.70296 | − | 3.72896i | −0.0681184 | − | 0.149158i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.44279 | − | 10.0348i | −0.0576193 | − | 0.400751i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.362279 | − | 0.145035i | −0.0144450 | − | 0.00578291i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.9004 | + | 7.68170i | 0.593176 | + | 0.305804i | 0.728552 | − | 0.684991i | \(-0.240194\pi\) |
−0.135376 | + | 0.990794i | \(0.543224\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −11.5444 | − | 19.9955i | −0.458849 | − | 0.794750i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −35.2115 | − | 3.36229i | −1.39733 | − | 0.133429i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.81644 | − | 16.8055i | −0.230456 | − | 0.665858i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.138814 | + | 2.91406i | 0.00549138 | + | 0.115278i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −23.0181 | + | 39.8685i | −0.909160 | + | 1.57471i | −0.0939253 | + | 0.995579i | \(0.529941\pi\) |
−0.815234 | + | 0.579131i | \(0.803392\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 37.5845 | − | 11.0358i | 1.48219 | − | 0.435209i | 0.562148 | − | 0.827037i | \(-0.309975\pi\) |
0.920039 | + | 0.391828i | \(0.128157\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 17.1446 | + | 11.0182i | 0.675069 | + | 0.433841i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 29.4079 | − | 2.80811i | 1.15614 | − | 0.110398i | 0.500685 | − | 0.865630i | \(-0.333081\pi\) |
0.655459 | + | 0.755231i | \(0.272475\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.80942 | − | 15.7026i | 0.149533 | − | 0.616383i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.26669 | + | 0.244135i | 0.0496457 | + | 0.00956841i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −5.38208 | + | 4.23252i | −0.210617 | + | 0.165631i | −0.717895 | − | 0.696151i | \(-0.754894\pi\) |
0.507278 | + | 0.861783i | \(0.330652\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 42.9634 | − | 49.5824i | 1.67872 | − | 1.93735i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.114215 | − | 2.39766i | 0.00445594 | − | 0.0935417i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.24743 | − | 6.91041i | 0.282320 | − | 0.269191i | −0.535666 | − | 0.844430i | \(-0.679939\pi\) |
0.817986 | + | 0.575239i | \(0.195091\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −32.4527 | − | 37.4524i | −1.26226 | − | 1.45673i | −0.832728 | − | 0.553682i | \(-0.813222\pi\) |
−0.429536 | − | 0.903050i | \(-0.641323\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 2.03729 | − | 0.392656i | 0.0791219 | − | 0.0152495i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −5.67327 | − | 1.66582i | −0.220000 | − | 0.0645978i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.31510 | + | 9.44874i | −0.167081 | + | 0.365857i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −19.6892 | −0.761230 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 29.3997 | 1.13496 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 16.4875 | − | 36.1026i | 0.635546 | − | 1.39165i | −0.268108 | − | 0.963389i | \(-0.586398\pi\) |
0.903654 | − | 0.428263i | \(-0.140874\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 7.39829 | + | 2.17233i | 0.284760 | + | 0.0836131i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −34.7196 | + | 6.69166i | −1.33438 | + | 0.257181i | −0.806046 | − | 0.591853i | \(-0.798397\pi\) |
−0.528338 | + | 0.849034i | \(0.677185\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.467483 | + | 0.539504i | 0.0179404 | + | 0.0207043i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −6.53620 | + | 6.23225i | −0.250468 | + | 0.238820i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0.509399 | − | 10.6936i | 0.0194916 | − | 0.409180i | −0.967945 | − | 0.251163i | \(-0.919187\pi\) |
0.987436 | − | 0.158017i | \(-0.0505100\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −22.4735 | + | 25.9358i | −0.858668 | + | 0.990956i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 11.2580 | − | 8.85336i | 0.429518 | − | 0.337777i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 6.62906 | + | 1.27765i | 0.252547 | + | 0.0486745i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.94105 | + | 40.9776i | −0.378175 | + | 1.55886i | 0.391349 | + | 0.920243i | \(0.372009\pi\) |
−0.769524 | + | 0.638618i | \(0.779506\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −6.03476 | + | 0.576250i | −0.229242 | + | 0.0218899i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1.00159 | − | 0.643683i | −0.0379925 | − | 0.0244163i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.73835 | + | 1.39131i | −0.179478 | + | 0.0526995i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.130208 | − | 0.225527i | 0.00492493 | − | 0.00853022i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.855114 | − | 17.9511i | −0.0322972 | − | 0.678002i | −0.955731 | − | 0.294243i | \(-0.904932\pi\) |
0.923433 | − | 0.383759i | \(-0.125371\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.303229 | + | 0.876121i | 0.0114365 | + | 0.0330435i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −43.0437 | − | 4.11018i | −1.62112 | − | 0.154798i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.31689 | − | 4.01298i | −0.0871357 | − | 0.150923i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 40.6240 | + | 20.9431i | 1.52567 | + | 0.786536i | 0.998018 | − | 0.0629263i | \(-0.0200433\pi\) |
0.527649 | + | 0.849462i | \(0.323074\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.11638 | + | 1.64795i | 0.154376 | + | 0.0618030i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.636455 | − | 4.42664i | −0.0238354 | − | 0.165779i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −26.6853 | − | 58.4326i | −0.997972 | − | 2.18525i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 14.7768 | + | 20.7510i | 0.551848 | + | 0.774962i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 11.2972 | − | 4.52273i | 0.421316 | − | 0.168669i | −0.151310 | − | 0.988486i | \(-0.548349\pi\) |
0.572626 | + | 0.819817i | \(0.305925\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.04281 | + | 16.6647i | 0.150562 | + | 0.620625i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.21874 | − | 8.47655i | 0.0453256 | − | 0.315246i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 20.6205 | − | 10.6306i | 0.765827 | − | 0.394811i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 12.5925 | − | 17.6837i | 0.467029 | − | 0.655851i | −0.512139 | − | 0.858903i | \(-0.671147\pi\) |
0.979168 | + | 0.203052i | \(0.0650861\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.90003 | + | 2.76517i | 0.107261 | + | 0.102274i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 32.5868 | + | 25.6265i | 1.20362 | + | 0.946538i | 0.999475 | − | 0.0324027i | \(-0.0103159\pi\) |
0.204146 | + | 0.978940i | \(0.434558\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 7.00603 | − | 20.2426i | 0.258421 | − | 0.746659i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −13.1613 | + | 48.0586i | −0.484801 | + | 1.77026i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.50958 | + | 27.4761i | −0.349815 | + | 1.01073i | 0.623613 | + | 0.781733i | \(0.285664\pi\) |
−0.973428 | + | 0.228992i | \(0.926457\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.87467 | − | 3.04707i | −0.142340 | − | 0.111937i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 23.5591 | + | 22.4635i | 0.864298 | + | 0.824107i | 0.985702 | − | 0.168497i | \(-0.0538912\pi\) |
−0.121404 | + | 0.992603i | \(0.538740\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 58.6267 | − | 37.6771i | 2.14791 | − | 1.38038i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 8.51258 | − | 11.9542i | 0.311459 | − | 0.437383i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −15.6329 | + | 8.05934i | −0.571215 | + | 0.294482i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.51189 | − | 38.3360i | 0.201132 | − | 1.39890i | −0.599802 | − | 0.800149i | \(-0.704754\pi\) |
0.800934 | − | 0.598753i | \(-0.204337\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −3.16051 | − | 13.0278i | −0.115175 | − | 0.474759i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 41.7302 | − | 16.7063i | 1.51872 | − | 0.608003i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 18.2155 | + | 25.5800i | 0.662052 | + | 0.929722i | 0.999934 | − | 0.0114664i | \(-0.00364996\pi\) |
−0.337882 | + | 0.941188i | \(0.609711\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 8.73050 | + | 19.1171i | 0.316897 | + | 0.693908i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −0.776833 | − | 5.40299i | −0.0281602 | − | 0.195858i | 0.970885 | − | 0.239546i | \(-0.0769985\pi\) |
−0.999045 | + | 0.0436875i | \(0.986089\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.105675 | + | 0.0423060i | 0.00382571 | + | 0.00153158i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 2.22131 | + | 1.14517i | 0.0803118 | + | 0.0414036i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.92818 | − | 6.80381i | −0.141839 | − | 0.245671i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.47834 | + | 0.809583i | 0.305737 | + | 0.0291943i | 0.246797 | − | 0.969067i | \(-0.420622\pi\) |
0.0589398 | + | 0.998262i | \(0.481228\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.04572 | − | 8.80004i | −0.109689 | − | 0.316926i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1.97559 | − | 41.4728i | −0.0710571 | − | 1.49167i | −0.699957 | − | 0.714185i | \(-0.746797\pi\) |
0.628900 | − | 0.777486i | \(-0.283506\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.99410 | + | 8.65004i | −0.179394 | + | 0.310719i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.531928 | − | 0.156188i | 0.0190828 | − | 0.00560322i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 9.87010 | + | 6.34313i | 0.353633 | + | 0.227266i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 17.6789 | − | 1.68813i | 0.632602 | − | 0.0604062i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.709344 | − | 2.92396i | 0.0253499 | − | 0.104494i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −15.6636 | − | 3.01892i | −0.559059 | − | 0.107750i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.9377 | + | 11.7471i | −0.532472 | + | 0.418740i | −0.847858 | − | 0.530223i | \(-0.822108\pi\) |
0.315387 | + | 0.948963i | \(0.397866\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.39167 | + | 7.37638i | −0.227550 | + | 0.262606i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.400881 | + | 8.41553i | −0.0142537 | + | 0.299222i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.3455 | − | 9.86444i | 0.367380 | − | 0.350296i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 5.32520 | + | 6.14561i | 0.188865 | + | 0.217962i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −17.4827 | + | 3.36951i | −0.619268 | + | 0.119354i | −0.489230 | − | 0.872155i | \(-0.662722\pi\) |
−0.130038 | + | 0.991509i | \(0.541510\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.15727 | − | 2.39519i | −0.288583 | − | 0.0847357i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.77689 | − | 14.8393i | 0.239450 | − | 0.524322i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −14.6123 | −0.515656 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.2573 | 0.432015 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −9.96254 | + | 21.8149i | −0.350698 | + | 0.767921i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −14.2767 | − | 4.19203i | −0.501943 | − | 0.147384i | 0.0209525 | − | 0.999780i | \(-0.493330\pi\) |
−0.522896 | + | 0.852397i | \(0.675148\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −22.3891 | + | 4.31515i | −0.786188 | + | 0.151525i | −0.566518 | − | 0.824049i | \(-0.691710\pi\) |
−0.219669 | + | 0.975574i | \(0.570498\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.597739 | + | 0.689828i | 0.0209636 | + | 0.0241933i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 32.0211 | − | 30.5321i | 1.12165 | − | 1.06949i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.452975 | − | 9.50912i | 0.0158476 | − | 0.332682i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.93024 | + | 2.22761i | −0.0674480 | + | 0.0778391i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 5.62612 | − | 4.42443i | 0.196353 | − | 0.154414i | −0.515142 | − | 0.857105i | \(-0.672261\pi\) |
0.711495 | + | 0.702691i | \(0.248018\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 10.3954 | + | 2.00356i | 0.362363 | + | 0.0698397i | 0.367183 | − | 0.930149i | \(-0.380322\pi\) |
−0.00482044 | + | 0.999988i | \(0.501534\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 11.0661 | − | 45.6151i | 0.385273 | − | 1.58811i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 8.77296 | − | 0.837716i | 0.305066 | − | 0.0291302i | 0.0585993 | − | 0.998282i | \(-0.481337\pi\) |
0.246466 | + | 0.969151i | \(0.420731\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −23.6789 | − | 15.2175i | −0.822403 | − | 0.528527i | 0.0604522 | − | 0.998171i | \(-0.480746\pi\) |
−0.882856 | + | 0.469645i | \(0.844382\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 11.1105 | − | 3.26233i | 0.385418 | − | 0.113169i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.10584 | − | 3.64743i | 0.0729631 | − | 0.126376i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.64829 | + | 76.5871i | 0.126254 | + | 2.65041i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.423678 | + | 1.22414i | 0.0146445 | + | 0.0423124i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −19.1231 | − | 1.82603i | −0.660202 | − | 0.0630417i | −0.240423 | − | 0.970668i | \(-0.577286\pi\) |
−0.419779 | + | 0.907626i | \(0.637892\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 9.97366 | + | 17.2749i | 0.343919 | + | 0.595685i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −19.6608 | − | 10.1359i | −0.677155 | − | 0.349098i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 14.0314 | + | 5.61734i | 0.482696 | + | 0.193242i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.69296 | + | 25.6851i | 0.126892 | + | 0.882551i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 6.06355 | + | 13.2773i | 0.208100 | + | 0.455676i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1.11483 | − | 1.56556i | −0.0382158 | − | 0.0536666i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −40.0922 | + | 16.0505i | −1.37273 | + | 0.549559i | −0.936624 | − | 0.350336i | \(-0.886067\pi\) |
−0.436107 | + | 0.899895i | \(0.643643\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.39980 | − | 5.77005i | −0.0478721 | − | 0.197332i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1.56282 | − | 10.8697i | 0.0533850 | − | 0.371301i | −0.945563 | − | 0.325440i | \(-0.894488\pi\) |
0.998948 | − | 0.0458612i | \(-0.0146032\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 39.0664 | − | 20.1402i | 1.33293 | − | 0.687173i | 0.363282 | − | 0.931679i | \(-0.381656\pi\) |
0.969648 | + | 0.244506i | \(0.0786258\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 4.06953 | − | 5.71486i | 0.138689 | − | 0.194762i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 29.6393 | − | 19.0480i | 1.00893 | − | 0.648401i | 0.0718155 | − | 0.997418i | \(-0.477121\pi\) |
0.937117 | + | 0.349017i | \(0.113484\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 35.1284 | + | 33.4949i | 1.19440 | + | 1.13886i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −12.9767 | − | 10.2050i | −0.440710 | − | 0.346578i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 8.82818 | − | 25.5074i | 0.299476 | − | 0.865278i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.4937 | + | 21.3274i | 0.389449 | + | 0.722652i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.234456 | + | 0.677416i | −0.00793513 | + | 0.0229271i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −7.56481 | − | 5.94903i | −0.255737 | − | 0.201114i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.243793 | − | 0.232457i | −0.00823232 | − | 0.00784950i | 0.685952 | − | 0.727647i | \(-0.259386\pi\) |
−0.694184 | + | 0.719798i | \(0.744235\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −14.1046 | + | 9.06449i | −0.475737 | + | 0.305738i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −33.1975 | + | 46.6194i | −1.11845 | + | 1.57065i | −0.342889 | + | 0.939376i | \(0.611406\pi\) |
−0.775563 | + | 0.631271i | \(0.782534\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −35.5146 | + | 18.3091i | −1.19516 | + | 0.616149i | −0.936789 | − | 0.349896i | \(-0.886217\pi\) |
−0.258374 | + | 0.966045i | \(0.583187\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.34675 | − | 9.36685i | 0.0452705 | − | 0.314863i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 7.69883 | + | 31.7350i | 0.258501 | + | 1.06556i | 0.942002 | + | 0.335607i | \(0.108941\pi\) |
−0.683501 | + | 0.729950i | \(0.739543\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.17247 | − | 3.67210i | 0.307635 | − | 0.123158i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.53108 | − | 4.95871i | −0.118296 | − | 0.166123i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 8.39062 | + | 18.3729i | 0.280781 | + | 0.614825i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.8919 | − | 75.7546i | −0.364075 | − | 2.53220i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 9.48655 | + | 3.79784i | 0.316747 | + | 0.126806i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 3.46424 | + | 1.78594i | 0.115539 | + | 0.0595645i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.799427 | + | 1.38465i | 0.0266328 | + | 0.0461293i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −5.66683 | − | 0.541117i | −0.188580 | − | 0.0180072i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.677669 | − | 1.95799i | −0.0225265 | − | 0.0650859i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.297301 | + | 6.24111i | 0.00987171 | + | 0.207233i | 0.998414 | + | 0.0562912i | \(0.0179275\pi\) |
−0.988543 | + | 0.150942i | \(0.951769\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 2.32655 | − | 4.02970i | 0.0771668 | − | 0.133657i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −12.1241 | + | 3.55996i | −0.401689 | + | 0.117947i | −0.476336 | − | 0.879263i | \(-0.658035\pi\) |
0.0746466 | + | 0.997210i | \(0.476217\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −75.1545 | − | 48.2988i | −2.48725 | − | 1.59846i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 17.1403 | − | 1.63670i | 0.566640 | − | 0.0541075i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −4.32044 | + | 17.8091i | −0.142674 | + | 0.588109i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 22.1780 | + | 4.27446i | 0.731585 | + | 0.141001i | 0.541422 | − | 0.840751i | \(-0.317886\pi\) |
0.190163 | + | 0.981753i | \(0.439098\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −7.44480 | + | 5.85465i | −0.245314 | + | 0.192917i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 5.65467 | − | 6.52584i | 0.186126 | − | 0.214801i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.204244 | + | 4.28761i | −0.00671550 | + | 0.140976i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −12.4624 | + | 11.8828i | −0.409318 | + | 0.390284i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −18.9623 | − | 21.8837i | −0.622133 | − | 0.717980i | 0.353977 | − | 0.935254i | \(-0.384829\pi\) |
−0.976111 | + | 0.217274i | \(0.930284\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −9.82528 | + | 1.89367i | −0.322010 | + | 0.0620624i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −5.94182 | − | 1.74467i | −0.194526 | − | 0.0571181i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 6.31987 | − | 13.8386i | 0.206682 | − | 0.452570i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −15.6755 | −0.512095 | −0.256048 | − | 0.966664i | \(-0.582420\pi\) | ||||
−0.256048 | + | 0.966664i | \(0.582420\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 32.3616 | 1.05608 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 13.9911 | − | 30.6362i | 0.456097 | − | 0.998712i | −0.532263 | − | 0.846579i | \(-0.678658\pi\) |
0.988360 | − | 0.152133i | \(-0.0486143\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −23.3368 | − | 6.85231i | −0.759952 | − | 0.223142i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −3.48624 | + | 0.671917i | −0.113407 | + | 0.0218575i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 3.34357 | + | 3.85869i | 0.108651 | + | 0.125390i | 0.807470 | − | 0.589908i | \(-0.200836\pi\) |
−0.698819 | + | 0.715299i | \(0.746291\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.14195 | + | 4.90284i | −0.166915 | + | 0.159153i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.647825 | + | 13.5995i | −0.0210072 | + | 0.440994i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 18.2685 | − | 21.0830i | 0.591775 | − | 0.682945i | −0.378319 | − | 0.925675i | \(-0.623498\pi\) |
0.970094 | + | 0.242731i | \(0.0780431\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.99828 | − | 1.57146i | 0.0646628 | − | 0.0508514i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −17.9848 | − | 3.46629i | −0.581367 | − | 0.112049i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.25996 | − | 9.31567i | 0.0729778 | − | 0.300819i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.1892 | − | 2.78723i | 0.941587 | − | 0.0899107i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −14.8577 | − | 9.54849i | −0.478784 | − | 0.307696i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 78.7577 | − | 23.1253i | 2.53530 | − | 0.744431i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 20.2246 | − | 35.0300i | 0.650378 | − | 1.12649i | −0.332653 | − | 0.943049i | \(-0.607944\pi\) |
0.983031 | − | 0.183439i | \(-0.0587228\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.0555471 | − | 1.16608i | −0.00178443 | − | 0.0374598i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.279570 | + | 0.807765i | 0.00897183 | + | 0.0259224i | 0.949398 | − | 0.314076i | \(-0.101695\pi\) |
−0.940426 | + | 0.339998i | \(0.889573\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.331057 | + | 0.0316121i | 0.0106132 | + | 0.00101344i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −11.4111 | − | 19.7646i | −0.365448 | − | 0.632974i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −22.3850 | − | 11.5403i | −0.716160 | − | 0.369206i | 0.0613163 | − | 0.998118i | \(-0.480470\pi\) |
−0.777476 | + | 0.628912i | \(0.783500\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −92.1947 | − | 36.9092i | −2.94655 | − | 1.17962i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.0162671 | + | 0.113140i | 0.000519369 | + | 0.00361229i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −2.64352 | − | 5.78851i | −0.0843153 | − | 0.184625i | 0.862778 | − | 0.505583i | \(-0.168722\pi\) |
−0.947093 | + | 0.320958i | \(0.895995\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −39.6477 | − | 55.6773i | −1.26328 | − | 1.77403i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 11.2127 | − | 4.48890i | 0.356905 | − | 0.142883i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 4.65271 | + | 19.1787i | 0.147947 | + | 0.609848i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.95787 | + | 13.6173i | −0.0621936 | + | 0.432566i | 0.934806 | + | 0.355159i | \(0.115573\pi\) |
−0.997000 | + | 0.0774073i | \(0.975336\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 8.37311 | − | 4.31664i | 0.265713 | − | 0.136984i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −9.23574 | + | 12.9698i | −0.292793 | + | 0.411170i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 43.5232 | − | 27.9706i | 1.37839 | − | 0.885839i | 0.379173 | − | 0.925326i | \(-0.376209\pi\) |
0.999220 | + | 0.0394865i | \(0.0125722\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0.402900 | + | 0.384164i | 0.0127472 | + | 0.0121544i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 804.2.y.b.73.6 | ✓ | 120 | |
67.56 | even | 33 | inner | 804.2.y.b.793.6 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.y.b.73.6 | ✓ | 120 | 1.1 | even | 1 | trivial | |
804.2.y.b.793.6 | yes | 120 | 67.56 | even | 33 | inner |