Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(13,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.bh (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 33.4 | ||
Character | \(\chi\) | \(=\) | 380.33 |
Dual form | 380.2.bh.a.357.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −0.886233 | − | 1.26567i | −0.511667 | − | 0.730736i | 0.477322 | − | 0.878729i | \(-0.341608\pi\) |
−0.988988 | + | 0.147993i | \(0.952719\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.22818 | − | 0.187668i | −0.996472 | − | 0.0839278i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.477272 | + | 0.127885i | 0.180392 | + | 0.0483359i | 0.347884 | − | 0.937538i | \(-0.386900\pi\) |
−0.167492 | + | 0.985873i | \(0.553567\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.209544 | − | 0.575718i | 0.0698481 | − | 0.191906i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.30958 | + | 2.26826i | −0.394854 | + | 0.683907i | −0.993083 | − | 0.117418i | \(-0.962538\pi\) |
0.598229 | + | 0.801326i | \(0.295871\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.24748 | − | 2.27391i | −0.900688 | − | 0.630668i | 0.0287743 | − | 0.999586i | \(-0.490840\pi\) |
−0.929462 | + | 0.368918i | \(0.879728\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.73716 | + | 2.98646i | 0.448532 | + | 0.771101i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.14733 | + | 6.74948i | −0.763341 | + | 1.63699i | 0.00750861 | + | 0.999972i | \(0.497610\pi\) |
−0.770849 | + | 0.637018i | \(0.780168\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.99559 | − | 1.74219i | −0.916652 | − | 0.399686i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.261114 | − | 0.717405i | −0.0569798 | − | 0.156551i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −6.95648 | − | 0.608613i | −1.45053 | − | 0.126905i | −0.665514 | − | 0.746385i | \(-0.731788\pi\) |
−0.785012 | + | 0.619480i | \(0.787343\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.92956 | + | 0.836317i | 0.985912 | + | 0.167263i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.39173 | + | 1.44471i | −1.03764 | + | 0.278035i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.14293 | + | 2.59981i | 1.32641 | + | 0.482773i | 0.905506 | − | 0.424333i | \(-0.139491\pi\) |
0.420902 | + | 0.907106i | \(0.361714\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.18291 | + | 2.41501i | −0.751274 | + | 0.433748i | −0.826154 | − | 0.563445i | \(-0.809476\pi\) |
0.0748803 | + | 0.997193i | \(0.476143\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.03147 | − | 0.352708i | 0.701789 | − | 0.0613986i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.03945 | − | 0.374519i | −0.175699 | − | 0.0633052i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.46586 | − | 2.46586i | −0.405384 | − | 0.405384i | 0.474741 | − | 0.880125i | \(-0.342542\pi\) |
−0.880125 | + | 0.474741i | \(0.842542\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 6.12545i | 0.980857i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.64737 | + | 1.34844i | 1.19432 | + | 0.210591i | 0.735241 | − | 0.677805i | \(-0.237069\pi\) |
0.459078 | + | 0.888396i | \(0.348180\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.596842 | − | 6.82194i | −0.0910176 | − | 1.04034i | −0.895114 | − | 0.445837i | \(-0.852906\pi\) |
0.804097 | − | 0.594499i | \(-0.202649\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.574946 | + | 1.24348i | −0.0857079 | + | 0.185367i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.78481 | − | 1.76489i | 0.552071 | − | 0.257435i | −0.126504 | − | 0.991966i | \(-0.540376\pi\) |
0.678575 | + | 0.734531i | \(0.262598\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.85074 | − | 3.37793i | −0.835821 | − | 0.482561i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 11.3319 | − | 1.99812i | 1.58678 | − | 0.279793i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.10972 | − | 12.6842i | 0.152432 | − | 1.74230i | −0.407000 | − | 0.913428i | \(-0.633425\pi\) |
0.559432 | − | 0.828877i | \(-0.311019\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.34367 | − | 4.80833i | 0.450860 | − | 0.648355i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.33598 | + | 6.60110i | 0.176955 | + | 0.874337i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −9.64613 | + | 3.51090i | −1.25582 | + | 0.457081i | −0.882364 | − | 0.470568i | \(-0.844049\pi\) |
−0.373455 | + | 0.927648i | \(0.621827\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.23307 | − | 3.55197i | 0.541989 | − | 0.454783i | −0.330228 | − | 0.943901i | \(-0.607126\pi\) |
0.872218 | + | 0.489118i | \(0.162681\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.173635 | − | 0.247977i | 0.0218760 | − | 0.0312421i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 6.80922 | + | 5.67612i | 0.844579 | + | 0.704036i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.96957 | − | 6.36826i | −0.362790 | − | 0.778006i | −0.999973 | − | 0.00729393i | \(-0.997678\pi\) |
0.637183 | − | 0.770713i | \(-0.280100\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 5.39476 | + | 9.34399i | 0.649453 | + | 1.12488i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.25576 | − | 2.68831i | 0.267709 | − | 0.319043i | −0.615396 | − | 0.788218i | \(-0.711004\pi\) |
0.883105 | + | 0.469175i | \(0.155449\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.90574 | + | 5.53566i | −0.925296 | + | 0.647900i | −0.935984 | − | 0.352043i | \(-0.885487\pi\) |
0.0106872 | + | 0.999943i | \(0.496598\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −3.31024 | − | 6.98038i | −0.382233 | − | 0.806025i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.915103 | + | 0.915103i | −0.104286 | + | 0.104286i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.00528 | − | 11.3725i | 0.225612 | − | 1.27951i | −0.635899 | − | 0.771772i | \(-0.719371\pi\) |
0.861512 | − | 0.507738i | \(-0.169518\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.19887 | + | 4.36237i | 0.577652 | + | 0.484708i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.901564 | + | 3.36468i | −0.0989596 | + | 0.369322i | −0.997590 | − | 0.0693843i | \(-0.977897\pi\) |
0.898630 | + | 0.438706i | \(0.144563\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.27949 | − | 14.4484i | 0.898036 | − | 1.56715i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.03979 | − | 11.3446i | −0.325899 | − | 1.21627i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.27414 | + | 7.22603i | 0.135059 | + | 0.765958i | 0.974819 | + | 0.222999i | \(0.0715848\pi\) |
−0.839760 | + | 0.542958i | \(0.817304\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.25913 | − | 1.50057i | −0.131993 | − | 0.157303i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.76364 | + | 3.15394i | 0.701357 | + | 0.327048i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 8.57594 | + | 4.63176i | 0.879873 | + | 0.475209i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.27464 | + | 0.594373i | 0.129420 | + | 0.0603494i | 0.486250 | − | 0.873820i | \(-0.338365\pi\) |
−0.356830 | + | 0.934169i | \(0.616142\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.03146 | + | 1.22925i | 0.103666 | + | 0.123544i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.89117 | − | 10.7254i | −0.188179 | − | 1.06721i | −0.921803 | − | 0.387659i | \(-0.873284\pi\) |
0.733624 | − | 0.679555i | \(-0.237827\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.606523 | + | 2.26357i | 0.0597624 | + | 0.223036i | 0.989348 | − | 0.145570i | \(-0.0465016\pi\) |
−0.929585 | + | 0.368607i | \(0.879835\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.447175 | + | 1.64751i | 0.0436398 | + | 0.160781i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.81117 | + | 6.75938i | −0.175093 | + | 0.653454i | 0.821443 | + | 0.570290i | \(0.193169\pi\) |
−0.996536 | + | 0.0831640i | \(0.973497\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.8380 | + | 9.93326i | 1.13388 | + | 0.951434i | 0.999221 | − | 0.0394585i | \(-0.0125633\pi\) |
0.134654 | + | 0.990893i | \(0.457008\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.935641 | + | 5.30629i | −0.0888072 | + | 0.503650i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.92042 | − | 4.92042i | 0.462874 | − | 0.462874i | −0.436722 | − | 0.899596i | \(-0.643861\pi\) |
0.899596 | + | 0.436722i | \(0.143861\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 15.3861 | + | 2.66161i | 1.43476 | + | 0.248196i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.98962 | + | 1.39315i | −0.183940 | + | 0.128796i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.36529 | + | 2.81884i | −0.216826 | + | 0.258403i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.06999 | + | 3.58532i | 0.188181 | + | 0.325938i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.07067 | − | 10.8741i | −0.457207 | − | 0.980484i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −10.8270 | − | 2.78859i | −0.968396 | − | 0.249419i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.44110 | + | 6.34255i | −0.394084 | + | 0.562810i | −0.966341 | − | 0.257264i | \(-0.917179\pi\) |
0.572257 | + | 0.820074i | \(0.306068\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −8.10539 | + | 6.80123i | −0.713640 | + | 0.598815i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −15.4866 | + | 5.63667i | −1.35307 | + | 0.492478i | −0.913905 | − | 0.405927i | \(-0.866949\pi\) |
−0.439167 | + | 0.898405i | \(0.644726\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.68418 | − | 1.34247i | −0.146037 | − | 0.116407i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 12.2849 | − | 2.20722i | 1.05731 | − | 0.189967i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.639108 | − | 7.30503i | 0.0546026 | − | 0.624111i | −0.918756 | − | 0.394825i | \(-0.870805\pi\) |
0.973359 | − | 0.229286i | \(-0.0736392\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.2337 | − | 1.80447i | 0.868010 | − | 0.153054i | 0.278129 | − | 0.960544i | \(-0.410286\pi\) |
0.589881 | + | 0.807490i | \(0.299175\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.58799 | − | 3.22623i | −0.470594 | − | 0.271697i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 9.41066 | − | 4.38826i | 0.786959 | − | 0.366965i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −15.4278 | − | 7.13335i | −1.28121 | − | 0.592392i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.909773 | + | 10.3988i | 0.0750368 | + | 0.857675i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −14.0270 | − | 2.47333i | −1.14913 | − | 0.202623i | −0.433537 | − | 0.901136i | \(-0.642735\pi\) |
−0.715598 | + | 0.698512i | \(0.753846\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 0.293600i | − | 0.0238929i | −0.999929 | − | 0.0119464i | \(-0.996197\pi\) | ||
0.999929 | − | 0.0119464i | \(-0.00380276\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.22629 | + | 3.22629i | 0.260830 | + | 0.260830i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 9.77350 | − | 4.59607i | 0.785027 | − | 0.369165i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.786873 | + | 0.0688424i | −0.0627993 | + | 0.00549422i | −0.118512 | − | 0.992953i | \(-0.537812\pi\) |
0.0557128 | + | 0.998447i | \(0.482257\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −17.0375 | + | 9.83659i | −1.35116 | + | 0.780092i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.24230 | − | 1.18010i | −0.255529 | − | 0.0930050i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.9964 | + | 3.21443i | −0.939631 | + | 0.251773i | −0.695957 | − | 0.718084i | \(-0.745019\pi\) |
−0.243674 | + | 0.969857i | \(0.578353\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −9.04903 | + | 0.0293173i | −0.704466 | + | 0.00228235i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 14.2939 | + | 1.25055i | 1.10609 | + | 0.0967705i | 0.625537 | − | 0.780194i | \(-0.284880\pi\) |
0.480555 | + | 0.876965i | \(0.340435\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.929186 | + | 2.55292i | 0.0714758 | + | 0.196378i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.84027 | + | 1.93527i | −0.140729 | + | 0.147994i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.17974 | + | 6.81897i | −0.241751 | + | 0.518437i | −0.989322 | − | 0.145745i | \(-0.953442\pi\) |
0.747571 | + | 0.664182i | \(0.231220\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.24579 | + | 1.02957i | 0.169766 | + | 0.0778279i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 12.9924 | + | 9.09735i | 0.976566 | + | 0.683799i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −6.89499 | + | 11.9425i | −0.515356 | + | 0.892622i | 0.484486 | + | 0.874799i | \(0.339007\pi\) |
−0.999841 | + | 0.0178228i | \(0.994327\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.81051 | + | 7.72180i | −0.208903 | + | 0.573957i | −0.999251 | − | 0.0387019i | \(-0.987678\pi\) |
0.790348 | + | 0.612659i | \(0.209900\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −8.24712 | − | 2.20981i | −0.609644 | − | 0.163354i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 5.03160 | + | 5.95713i | 0.369931 | + | 0.437977i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.1879 | − | 15.9780i | −0.818141 | − | 1.16843i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.75808 | −0.200621 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.3833 | −0.823668 | −0.411834 | − | 0.911259i | \(-0.635112\pi\) | ||||
−0.411834 | + | 0.911259i | \(0.635112\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.34591 | − | 10.4911i | −0.528770 | − | 0.755162i | 0.462555 | − | 0.886590i | \(-0.346933\pi\) |
−0.991326 | + | 0.131428i | \(0.958044\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.14955 | − | 13.6486i | 0.0823212 | − | 0.977396i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −13.0874 | − | 3.50677i | −0.932441 | − | 0.249847i | −0.239546 | − | 0.970885i | \(-0.576999\pi\) |
−0.692895 | + | 0.721038i | \(0.743665\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.51151 | − | 23.3852i | 0.603365 | − | 1.65773i | −0.141041 | − | 0.990004i | \(-0.545045\pi\) |
0.744406 | − | 0.667728i | \(-0.232733\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.42840 | + | 9.40226i | −0.382889 | + | 0.663184i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.07664 | + | 2.15429i | 0.215938 | + | 0.151201i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −16.7867 | − | 4.43973i | −1.17243 | − | 0.310084i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.80808 | + | 3.87744i | −0.125670 | + | 0.269501i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 9.18431 | − | 6.78151i | 0.635292 | − | 0.469087i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.326590 | + | 0.897298i | 0.0224834 | + | 0.0617725i | 0.950427 | − | 0.310949i | \(-0.100647\pi\) |
−0.927943 | + | 0.372722i | \(0.878425\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.40164 | − | 0.472582i | −0.370114 | − | 0.0323808i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.0496098 | + | 15.3125i | 0.00338336 | + | 1.04430i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.30523 | + | 0.617685i | −0.156489 | + | 0.0419312i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 14.0126 | + | 5.10019i | 0.946887 | + | 0.344639i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 25.5686 | − | 14.7620i | 1.71993 | − | 0.993002i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.95774 | − | 0.521235i | 0.398960 | − | 0.0349045i | 0.114089 | − | 0.993470i | \(-0.463605\pi\) |
0.284871 | + | 0.958566i | \(0.408049\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.51444 | − | 2.66279i | 0.100963 | − | 0.177519i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −7.52394 | − | 7.52394i | −0.499382 | − | 0.499382i | 0.411864 | − | 0.911245i | \(-0.364878\pi\) |
−0.911245 | + | 0.411864i | \(0.864878\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 12.5028i | − | 0.826206i | −0.910684 | − | 0.413103i | \(-0.864445\pi\) | ||
0.910684 | − | 0.413103i | \(-0.135555\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.96921 | + | 0.347226i | 0.129565 | + | 0.0228458i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.251393 | + | 2.87344i | 0.0164693 | + | 0.188245i | 0.999973 | + | 0.00735679i | \(0.00234176\pi\) |
−0.983504 | + | 0.180888i | \(0.942103\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.76444 | + | 3.22219i | −0.571729 | + | 0.210193i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −16.1710 | + | 7.54068i | −1.05042 | + | 0.489820i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.72844 | + | 3.88466i | 0.435226 | + | 0.251278i | 0.701571 | − | 0.712600i | \(-0.252482\pi\) |
−0.266344 | + | 0.963878i | \(0.585816\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.78997 | − | 0.668274i | 0.244134 | − | 0.0430473i | −0.0502423 | − | 0.998737i | \(-0.515999\pi\) |
0.294376 | + | 0.955690i | \(0.404888\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.545573 | + | 6.23593i | −0.0349986 | + | 0.400035i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 12.4026 | + | 8.62463i | 0.792371 | + | 0.551007i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.01401 | + | 14.7433i | 0.573548 | + | 0.938096i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.05758 | − | 1.84081i | 0.320511 | − | 0.116657i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −22.6524 | + | 19.0076i | −1.42981 | + | 1.19975i | −0.483981 | + | 0.875079i | \(0.660810\pi\) |
−0.945827 | + | 0.324672i | \(0.894746\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.4906 | − | 14.9821i | 0.659537 | − | 0.941917i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −25.6245 | + | 2.32553i | −1.60467 | + | 0.145630i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 7.27154 | + | 15.5939i | 0.453586 | + | 0.972719i | 0.991547 | + | 0.129749i | \(0.0414171\pi\) |
−0.537961 | + | 0.842970i | \(0.680805\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.861539 | − | 1.49223i | −0.0535334 | − | 0.0927226i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.99352 | − | 3.56754i | 0.185294 | − | 0.220825i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.1509 | + | 9.20834i | −0.810917 | + | 0.567810i | −0.903844 | − | 0.427863i | \(-0.859267\pi\) |
0.0929266 | + | 0.995673i | \(0.470378\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.85307 | + | 28.0543i | −0.298122 | + | 1.72336i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.01659 | − | 8.01659i | 0.490608 | − | 0.490608i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.29086 | − | 12.9921i | 0.139676 | − | 0.792142i | −0.831813 | − | 0.555056i | \(-0.812697\pi\) |
0.971489 | − | 0.237085i | \(-0.0761921\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.56103 | − | 1.30986i | −0.0948258 | − | 0.0795683i | 0.594142 | − | 0.804360i | \(-0.297492\pi\) |
−0.688968 | + | 0.724792i | \(0.741936\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.783351 | + | 2.92351i | −0.0474106 | + | 0.176939i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −8.35265 | + | 10.0863i | −0.503684 | + | 0.608228i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.94512 | + | 7.25930i | 0.116871 | + | 0.436169i | 0.999420 | − | 0.0340517i | \(-0.0108411\pi\) |
−0.882549 | + | 0.470220i | \(0.844174\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.513857 | + | 2.91423i | 0.0307638 | + | 0.174470i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.40308 | − | 7.63090i | −0.381976 | − | 0.455221i | 0.540461 | − | 0.841369i | \(-0.318250\pi\) |
−0.922437 | + | 0.386148i | \(0.873805\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.03842 | + | 2.81576i | 0.358947 | + | 0.167380i | 0.593722 | − | 0.804670i | \(-0.297658\pi\) |
−0.234776 | + | 0.972050i | \(0.575436\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.73799 | − | 14.9591i | −0.102950 | − | 0.886103i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 3.47743 | + | 1.62155i | 0.205266 | + | 0.0957173i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −24.7224 | − | 29.4630i | −1.45426 | − | 1.73312i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.377344 | − | 2.14003i | −0.0221203 | − | 0.125450i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.51637 | + | 16.8553i | 0.263849 | + | 0.984698i | 0.962951 | + | 0.269676i | \(0.0869165\pi\) |
−0.699102 | + | 0.715022i | \(0.746417\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 22.1522 | − | 6.01265i | 1.28975 | − | 0.350070i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.78393 | − | 14.1218i | 0.219566 | − | 0.819432i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 21.2071 | + | 17.7949i | 1.22644 | + | 1.02910i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.587565 | − | 3.33225i | 0.0338667 | − | 0.192068i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −11.8988 | + | 11.8988i | −0.683567 | + | 0.683567i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.0986 | + | 7.12001i | −0.578246 | + | 0.407691i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 22.7303 | − | 15.9159i | 1.29728 | − | 0.908368i | 0.298347 | − | 0.954458i | \(-0.403565\pi\) |
0.998937 | + | 0.0460895i | \(0.0146760\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.32742 | − | 2.77371i | 0.132402 | − | 0.157791i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.60521 | − | 16.6367i | −0.544661 | − | 0.943381i | −0.998628 | − | 0.0523626i | \(-0.983325\pi\) |
0.453967 | − | 0.891019i | \(-0.350008\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.5340 | + | 24.7348i | 0.651943 | + | 1.39810i | 0.902795 | + | 0.430070i | \(0.141511\pi\) |
−0.250853 | + | 0.968025i | \(0.580711\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.433427 | + | 0.519950i | −0.0244209 | + | 0.0292959i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.21121 | + | 6.01423i | −0.236525 | + | 0.337793i | −0.919814 | − | 0.392356i | \(-0.871660\pi\) |
0.683289 | + | 0.730148i | \(0.260549\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.2513 | + | 12.7974i | −0.853909 | + | 0.716515i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 10.1603 | − | 3.69804i | 0.567091 | − | 0.206404i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 24.3344 | − | 21.4849i | 1.35400 | − | 1.19545i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −14.1069 | − | 13.9253i | −0.782511 | − | 0.772436i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2.08102 | − | 23.7862i | 0.115081 | − | 1.31538i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 2.03209 | − | 0.358311i | 0.112032 | − | 0.0197543i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 21.1146 | + | 12.1905i | 1.16057 | + | 0.670053i | 0.951440 | − | 0.307836i | \(-0.0996047\pi\) |
0.209126 | + | 0.977889i | \(0.432938\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.93634 | + | 0.902932i | −0.106111 | + | 0.0494804i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 5.42161 | + | 14.7469i | 0.296214 | + | 0.805710i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.506382 | + | 5.78797i | 0.0275844 | + | 0.315291i | 0.997434 | + | 0.0715879i | \(0.0228067\pi\) |
−0.969850 | + | 0.243703i | \(0.921638\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −10.5883 | − | 1.86700i | −0.575076 | − | 0.101401i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 12.6506i | − | 0.685069i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.80612 | − | 4.80612i | −0.259506 | − | 0.259506i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −10.2669 | − | 21.8325i | −0.552752 | − | 1.17542i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 32.6777 | − | 2.85893i | 1.75423 | − | 0.153475i | 0.835793 | − | 0.549044i | \(-0.185008\pi\) |
0.918436 | + | 0.395569i | \(0.129453\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.20005 | + | 5.31165i | −0.492467 | + | 0.284326i | −0.725597 | − | 0.688119i | \(-0.758437\pi\) |
0.233130 | + | 0.972446i | \(0.425103\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 20.7947 | + | 7.56864i | 1.10994 | + | 0.403984i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −3.09233 | + | 0.828587i | −0.164588 | + | 0.0441012i | −0.340172 | − | 0.940363i | \(-0.610485\pi\) |
0.175584 | + | 0.984464i | \(0.443819\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.53074 | + | 5.56669i | −0.293541 | + | 0.295449i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 5.66393 | + | 0.495529i | 0.299767 | + | 0.0262262i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4.53462 | − | 12.4588i | −0.239328 | − | 0.657548i | −0.999965 | − | 0.00837080i | \(-0.997335\pi\) |
0.760637 | − | 0.649177i | \(-0.224887\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.9295 | + | 13.9222i | 0.680502 | + | 0.732747i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.70335 | − | 5.79736i | 0.141889 | − | 0.304282i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 18.6543 | − | 10.8508i | 0.976409 | − | 0.567956i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −24.3395 | − | 17.0427i | −1.27051 | − | 0.889620i | −0.273131 | − | 0.961977i | \(-0.588059\pi\) |
−0.997379 | + | 0.0723565i | \(0.976948\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.37878 | − | 4.12017i | 0.123835 | − | 0.214488i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.15175 | − | 5.91188i | 0.111713 | − | 0.306930i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 25.3739 | + | 6.79892i | 1.31381 | + | 0.352035i | 0.846656 | − | 0.532140i | \(-0.178612\pi\) |
0.467156 | + | 0.884175i | \(0.345279\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.06580 | + | 16.1748i | 0.313237 | + | 0.835261i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −17.2847 | − | 24.6852i | −0.890210 | − | 1.27135i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 37.5940 | 1.93107 | 0.965537 | − | 0.260264i | \(-0.0838096\pi\) | ||||
0.965537 | + | 0.260264i | \(0.0838096\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 11.9634 | 0.612905 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.538068 | − | 0.768441i | −0.0274940 | − | 0.0392655i | 0.805170 | − | 0.593044i | \(-0.202074\pi\) |
−0.832664 | + | 0.553779i | \(0.813185\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.21075 | − | 1.86728i | 0.112670 | − | 0.0951653i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −4.05258 | − | 1.08588i | −0.206004 | − | 0.0551986i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 10.6622 | − | 29.2941i | 0.540595 | − | 1.48527i | −0.305475 | − | 0.952200i | \(-0.598815\pi\) |
0.846070 | − | 0.533072i | \(-0.178963\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 26.0022 | − | 45.0371i | 1.31499 | − | 2.27763i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 20.8589 | + | 14.6056i | 1.05219 | + | 0.736754i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.60240 | + | 24.9637i | −0.332203 | + | 1.25606i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.762993 | + | 1.63624i | −0.0382935 | + | 0.0821207i | −0.924524 | − | 0.381124i | \(-0.875537\pi\) |
0.886230 | + | 0.463245i | \(0.153315\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.206552 | + | 3.32137i | −0.0103405 | + | 0.166277i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.16526 | + | 16.9389i | 0.307879 | + | 0.845889i | 0.993070 | + | 0.117526i | \(0.0374964\pi\) |
−0.685191 | + | 0.728363i | \(0.740281\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 19.0754 | + | 1.66888i | 0.950214 | + | 0.0831330i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −10.7653 | − | 10.6958i | −0.534934 | − | 0.531479i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.82245 | − | 2.36397i | 0.437313 | − | 0.117178i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −26.1564 | − | 9.52016i | −1.29335 | − | 0.470742i | −0.398526 | − | 0.917157i | \(-0.630478\pi\) |
−0.894826 | + | 0.446415i | \(0.852700\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −9.81217 | + | 5.66506i | −0.483999 | + | 0.279437i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −5.05282 | + | 0.442064i | −0.248633 | + | 0.0217526i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.64029 | − | 7.32792i | 0.129607 | − | 0.359714i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −11.3533 | − | 11.3533i | −0.555974 | − | 0.555974i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 18.1585i | − | 0.887103i | −0.896249 | − | 0.443551i | \(-0.853718\pi\) | ||
0.896249 | − | 0.443551i | \(-0.146282\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −29.5610 | − | 5.21240i | −1.44071 | − | 0.254037i | −0.601951 | − | 0.798533i | \(-0.705610\pi\) |
−0.838763 | + | 0.544496i | \(0.816721\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.222992 | − | 2.54880i | −0.0108422 | − | 0.123927i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −21.1597 | + | 30.6398i | −1.02640 | + | 1.48625i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.47457 | − | 1.15391i | 0.119753 | − | 0.0558416i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −13.8941 | − | 8.02178i | −0.670815 | − | 0.387295i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −22.3234 | + | 3.93622i | −1.07528 | + | 0.189601i | −0.683127 | − | 0.730299i | \(-0.739381\pi\) |
−0.392153 | + | 0.919900i | \(0.628269\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.651368 | − | 7.44518i | 0.0313028 | − | 0.357792i | −0.964349 | − | 0.264635i | \(-0.914749\pi\) |
0.995651 | − | 0.0931573i | \(-0.0296959\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.64416 | + | 25.8484i | 0.222670 | + | 1.23933i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 26.7349 | + | 14.5513i | 1.27891 | + | 0.696083i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.2933 | − | 7.75013i | 1.01627 | − | 0.369894i | 0.220435 | − | 0.975402i | \(-0.429252\pi\) |
0.795839 | + | 0.605508i | \(0.207030\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.17072 | + | 2.66055i | −0.150987 | + | 0.126693i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −10.5613 | + | 15.0831i | −0.501783 | + | 0.716620i | −0.987522 | − | 0.157484i | \(-0.949662\pi\) |
0.485739 | + | 0.874104i | \(0.338551\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.48292 | − | 16.3400i | −0.0702973 | − | 0.774590i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 9.30074 | + | 19.9455i | 0.439910 | + | 0.943390i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.67194 | − | 2.89589i | −0.0789039 | − | 0.136666i | 0.823873 | − | 0.566774i | \(-0.191809\pi\) |
−0.902777 | + | 0.430108i | \(0.858475\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −13.0735 | + | 15.5804i | −0.615606 | + | 0.733651i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.371602 | + | 0.260198i | −0.0174594 | + | 0.0122252i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 2.52396 | + | 3.57985i | 0.118325 | + | 0.167826i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −7.43344 | + | 7.43344i | −0.347721 | + | 0.347721i | −0.859260 | − | 0.511539i | \(-0.829076\pi\) |
0.511539 | + | 0.859260i | \(0.329076\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 7.21854 | − | 40.9384i | 0.336933 | − | 1.91084i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.317855 | − | 0.266712i | −0.0148040 | − | 0.0124220i | 0.635356 | − | 0.772220i | \(-0.280854\pi\) |
−0.650160 | + | 0.759798i | \(0.725298\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.79649 | + | 25.3649i | −0.315860 | + | 1.17881i | 0.607326 | + | 0.794452i | \(0.292242\pi\) |
−0.923186 | + | 0.384353i | \(0.874425\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −14.4787 | − | 8.29686i | −0.671434 | − | 0.384758i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.670696 | − | 2.50307i | −0.0310361 | − | 0.115828i | 0.948670 | − | 0.316268i | \(-0.102430\pi\) |
−0.979706 | + | 0.200439i | \(0.935763\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.602889 | − | 3.41915i | −0.0278388 | − | 0.157882i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.784484 | + | 0.934912i | 0.0361471 | + | 0.0430785i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 16.2556 | + | 7.58010i | 0.747432 | + | 0.348533i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −18.2395 | − | 11.9298i | −0.836885 | − | 0.547378i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −7.06997 | − | 3.29678i | −0.323712 | − | 0.150949i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 16.3953 | + | 19.5392i | 0.749120 | + | 0.892767i | 0.997108 | − | 0.0759965i | \(-0.0242138\pi\) |
−0.247988 | + | 0.968763i | \(0.579769\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.40068 | + | 13.6149i | 0.109462 | + | 0.620788i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.37981 | + | 5.14953i | 0.0627837 | + | 0.234312i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.72857 | − | 1.56358i | −0.123898 | − | 0.0709984i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.76189 | + | 28.9678i | −0.351725 | + | 1.31265i | 0.532831 | + | 0.846221i | \(0.321128\pi\) |
−0.884556 | + | 0.466433i | \(0.845539\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 14.7000 | + | 12.3348i | 0.664758 | + | 0.557798i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.13753 | + | 6.45128i | −0.0513362 | + | 0.291142i | −0.999658 | − | 0.0261695i | \(-0.991669\pi\) |
0.948321 | + | 0.317312i | \(0.102780\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −40.0286 | + | 40.0286i | −1.80280 | + | 1.80280i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.06760 | − | 2.93257i | −0.0929315 | − | 0.131809i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.42040 | − | 0.994576i | 0.0637137 | − | 0.0446128i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.9317 | + | 24.9454i | −0.937032 | + | 1.11671i | 0.0559489 | + | 0.998434i | \(0.482182\pi\) |
−0.992981 | + | 0.118277i | \(0.962263\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −11.0849 | − | 19.1996i | −0.495237 | − | 0.857775i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −8.37995 | − | 17.9709i | −0.373643 | − | 0.801281i | −0.999768 | − | 0.0215576i | \(-0.993137\pi\) |
0.626124 | − | 0.779723i | \(-0.284640\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.20106 | + | 24.2530i | 0.0979458 | + | 1.07924i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.40768 | − | 3.43852i | 0.106929 | − | 0.152710i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −30.7769 | + | 25.8249i | −1.36416 | + | 1.14467i | −0.389491 | + | 0.921030i | \(0.627349\pi\) |
−0.974672 | + | 0.223638i | \(0.928207\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.48111 | + | 1.63099i | −0.198233 | + | 0.0721508i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 24.0601 | + | 3.62096i | 1.06228 | + | 0.159869i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −0.926640 | − | 5.15747i | −0.0408326 | − | 0.227265i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.953295 | + | 10.8962i | −0.0419259 | + | 0.479215i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 11.4486 | − | 2.01869i | 0.502537 | − | 0.0886107i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −22.0853 | − | 12.7510i | −0.967576 | − | 0.558630i | −0.0690794 | − | 0.997611i | \(-0.522006\pi\) |
−0.898496 | + | 0.438981i | \(0.855340\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.42522 | − | 2.06351i | 0.193501 | − | 0.0902311i | −0.323453 | − | 0.946244i | \(-0.604844\pi\) |
0.516954 | + | 0.856013i | \(0.327066\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.687200 | − | 3.75487i | −0.0299919 | − | 0.163876i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −3.13501 | − | 35.8333i | −0.136563 | − | 1.56092i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 25.3716 | + | 4.47371i | 1.10311 | + | 0.194509i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.28914i | 0.272925i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −21.7684 | − | 21.7684i | −0.942896 | − | 0.942896i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.30413 | − | 14.7212i | 0.229318 | − | 0.636453i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 21.2258 | − | 1.85702i | 0.915961 | − | 0.0801362i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 15.3241 | − | 8.84735i | 0.660054 | − | 0.381082i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.1925 | − | 7.71343i | −0.911136 | − | 0.331626i | −0.156430 | − | 0.987689i | \(-0.549998\pi\) |
−0.754706 | + | 0.656063i | \(0.772221\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 12.2640 | − | 3.28614i | 0.526300 | − | 0.141022i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −24.5130 | − | 24.3547i | −1.05002 | − | 1.04324i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 36.5018 | + | 3.19349i | 1.56070 | + | 0.136544i | 0.834528 | − | 0.550966i | \(-0.185741\pi\) |
0.726175 | + | 0.687510i | \(0.241296\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.15792 | − | 3.18135i | −0.0494187 | − | 0.135777i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −24.0109 | − | 22.8321i | −1.02290 | − | 0.972682i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.41144 | − | 5.17135i | 0.102545 | − | 0.219908i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.08060 | − | 11.6478i | 0.130764 | − | 0.494420i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 33.9568 | + | 23.7768i | 1.43880 | + | 1.00746i | 0.993712 | + | 0.111966i | \(0.0357147\pi\) |
0.445083 | + | 0.895489i | \(0.353174\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −13.5742 | + | 23.5112i | −0.574129 | + | 0.994420i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −10.3078 | + | 28.3204i | −0.435195 | + | 1.19569i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.31800 | − | 1.15700i | −0.181982 | − | 0.0487619i | 0.166677 | − | 0.986012i | \(-0.446696\pi\) |
−0.348659 | + | 0.937250i | \(0.613363\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.8870 | + | 10.0402i | −0.500089 | + | 0.422393i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.92339 | + | 2.74689i | 0.0807750 | + | 0.115359i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −24.2123 | −1.01503 | −0.507516 | − | 0.861642i | \(-0.669436\pi\) | ||||
−0.507516 | + | 0.861642i | \(0.669436\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −34.3613 | −1.43798 | −0.718988 | − | 0.695022i | \(-0.755395\pi\) | ||||
−0.718988 | + | 0.695022i | \(0.755395\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 10.0883 | + | 14.4075i | 0.421444 | + | 0.601884i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −33.7834 | − | 8.81802i | −1.40887 | − | 0.367737i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.5754 | − | 3.10163i | −0.481892 | − | 0.129122i | 0.00969172 | − | 0.999953i | \(-0.496915\pi\) |
−0.491583 | + | 0.870831i | \(0.663582\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −6.76804 | + | 18.5950i | −0.281270 | + | 0.772783i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.860583 | + | 1.49057i | −0.0357030 | + | 0.0618394i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 27.3178 | + | 19.1281i | 1.13139 | + | 0.792205i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 4.69468 | − | 2.73079i | 0.194101 | − | 0.112904i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 0.127928 | − | 0.274343i | 0.00528017 | − | 0.0113234i | −0.903650 | − | 0.428272i | \(-0.859123\pi\) |
0.908930 | + | 0.416948i | \(0.136900\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 20.9206 | − | 2.36194i | 0.862020 | − | 0.0973221i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 7.16010 | + | 19.6722i | 0.294527 | + | 0.809206i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −13.1398 | − | 1.14958i | −0.539586 | − | 0.0472077i | −0.185894 | − | 0.982570i | \(-0.559518\pi\) |
−0.353692 | + | 0.935362i | \(0.615074\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.79929 | − | 5.83699i | 0.237748 | − | 0.239293i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −37.1411 | + | 9.95194i | −1.52009 | + | 0.407306i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −23.0207 | − | 8.37884i | −0.940599 | − | 0.342350i | −0.174197 | − | 0.984711i | \(-0.555733\pi\) |
−0.766403 | + | 0.642361i | \(0.777955\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.39944 | − | 4.84942i | 0.342620 | − | 0.197812i | −0.318810 | − | 0.947819i | \(-0.603283\pi\) |
0.661430 | + | 0.750007i | \(0.269950\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.28858 | + | 0.375202i | −0.174644 | + | 0.0152794i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3.93945 | − | 8.37721i | −0.160161 | − | 0.340582i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −27.6117 | − | 27.6117i | −1.12072 | − | 1.12072i | −0.991633 | − | 0.129090i | \(-0.958794\pi\) |
−0.129090 | − | 0.991633i | \(-0.541206\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | − | 5.80322i | − | 0.235158i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −16.3043 | − | 2.87488i | −0.659600 | − | 0.116305i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.0548168 | − | 0.626559i | −0.00221403 | − | 0.0253065i | 0.995007 | − | 0.0998020i | \(-0.0318209\pi\) |
−0.997221 | + | 0.0744955i | \(0.976265\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 9.25765 | + | 25.1810i | 0.373304 | + | 1.01540i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 28.5538 | − | 13.3149i | 1.14953 | − | 0.536037i | 0.248007 | − | 0.968758i | \(-0.420225\pi\) |
0.901528 | + | 0.432722i | \(0.142447\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.68249 | − | 1.54874i | −0.107818 | − | 0.0622490i | 0.445121 | − | 0.895470i | \(-0.353161\pi\) |
−0.552940 | + | 0.833221i | \(0.686494\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 38.3867 | − | 6.76862i | 1.54041 | − | 0.271615i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.315985 | + | 3.61173i | −0.0126597 | + | 0.144701i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 23.6011 | + | 8.24535i | 0.944046 | + | 0.329814i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −16.7226 | − | 5.61432i | −0.667837 | − | 0.224214i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 24.4041 | − | 8.88237i | 0.973056 | − | 0.354163i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.0940 | + | 14.3435i | −0.680500 | + | 0.571007i | −0.916152 | − | 0.400830i | \(-0.868722\pi\) |
0.235652 | + | 0.971837i | \(0.424277\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.846250 | − | 1.20857i | 0.0336354 | − | 0.0480364i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 11.0859 | − | 13.2989i | 0.439929 | − | 0.527750i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11.3191 | + | 24.2738i | 0.448477 | + | 0.961763i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1.07503 | − | 1.86200i | −0.0425273 | − | 0.0736595i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.29592 | − | 5.11968i | 0.169679 | − | 0.202215i | −0.674503 | − | 0.738272i | \(-0.735642\pi\) |
0.844182 | + | 0.536057i | \(0.180087\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −24.2648 | + | 16.9904i | −0.956910 | + | 0.670035i | −0.944022 | − | 0.329882i | \(-0.892991\pi\) |
−0.0128874 | + | 0.999917i | \(0.504102\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 19.3366 | − | 13.6332i | 0.761380 | − | 0.536808i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 23.4593 | − | 23.4593i | 0.922281 | − | 0.922281i | −0.0749093 | − | 0.997190i | \(-0.523867\pi\) |
0.997190 | + | 0.0749093i | \(0.0238667\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.66875 | − | 26.4778i | 0.183264 | − | 1.03934i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.82476 | + | 2.37025i | 0.110711 | + | 0.0928975i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 6.83610 | − | 25.5127i | 0.267517 | − | 0.998389i | −0.693174 | − | 0.720770i | \(-0.743788\pi\) |
0.960691 | − | 0.277618i | \(-0.0895451\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 35.5648 | − | 9.65316i | 1.38963 | − | 0.377180i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 1.53038 | + | 5.71144i | 0.0597056 | + | 0.222824i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −0.251800 | − | 1.42803i | −0.00980875 | − | 0.0556282i | 0.979511 | − | 0.201393i | \(-0.0645468\pi\) |
−0.989319 | + | 0.145765i | \(0.953436\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.82689 | − | 10.5195i | −0.343326 | − | 0.409160i | 0.566559 | − | 0.824021i | \(-0.308274\pi\) |
−0.909885 | + | 0.414861i | \(0.863830\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −41.3436 | − | 19.2788i | −1.60565 | − | 0.748728i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.50073 | + | 3.30734i | 0.135752 | + | 0.128253i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −48.1074 | − | 22.4328i | −1.86272 | − | 0.868602i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −5.93966 | − | 7.07861i | −0.229641 | − | 0.273675i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.51325 | + | 14.2533i | 0.0970228 | + | 0.550243i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.43051 | + | 5.33875i | 0.0551422 | + | 0.205794i | 0.988001 | − | 0.154449i | \(-0.0493604\pi\) |
−0.932858 | + | 0.360243i | \(0.882694\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −27.7871 | + | 2.61259i | −1.06953 | + | 0.100559i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.44220 | − | 12.8465i | 0.132294 | − | 0.493729i | −0.867700 | − | 0.497088i | \(-0.834402\pi\) |
0.999994 | + | 0.00335887i | \(0.00106916\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.532337 | + | 0.446684i | 0.0204292 | + | 0.0171422i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.85488 | + | 16.1908i | −0.109399 | + | 0.620433i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.48507 | − | 5.48507i | 0.209880 | − | 0.209880i | −0.594336 | − | 0.804217i | \(-0.702585\pi\) |
0.804217 | + | 0.594336i | \(0.202585\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.79497 | + | 16.1570i | −0.106790 | + | 0.617326i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −15.8244 | + | 11.0804i | −0.603738 | + | 0.422742i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −32.4464 | + | 38.6681i | −1.23611 | + | 1.47314i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.54170 | − | 7.86646i | −0.172775 | − | 0.299254i | 0.766614 | − | 0.642108i | \(-0.221940\pi\) |
−0.939389 | + | 0.342854i | \(0.888607\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.335087 | + | 0.718596i | 0.0127289 | + | 0.0272972i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −23.1411 | + | 2.10015i | −0.877793 | + | 0.0796634i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −33.1701 | + | 47.3718i | −1.25641 | + | 1.79434i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 3.41404 | − | 2.86472i | 0.129131 | − | 0.108354i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −26.7671 | + | 9.74244i | −1.01098 | + | 0.367967i | −0.793809 | − | 0.608167i | \(-0.791905\pi\) |
−0.217171 | + | 0.976134i | \(0.569683\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.55656 | + | 14.1486i | 0.209570 | + | 0.533623i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 11.8456 | + | 8.23730i | 0.446130 | + | 0.310235i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.469007 | − | 5.36077i | 0.0176388 | − | 0.201613i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 16.0271 | − | 2.82601i | 0.601911 | − | 0.106133i | 0.135615 | − | 0.990762i | \(-0.456699\pi\) |
0.466296 | + | 0.884629i | \(0.345588\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −6.12718 | − | 3.53753i | −0.229787 | − | 0.132668i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 30.5682 | − | 14.2542i | 1.14479 | − | 0.533823i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −21.7922 | + | 8.01175i | −0.814981 | + | 0.299623i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.04625 | − | 11.9587i | −0.0390730 | − | 0.446606i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −5.61267 | − | 0.989666i | −0.209317 | − | 0.0369083i | 0.0680061 | − | 0.997685i | \(-0.478336\pi\) |
−0.277324 | + | 0.960777i | \(0.589447\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.15790i | 0.0431226i | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −4.20461 | − | 4.20461i | −0.156371 | − | 0.156371i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 33.0372 | + | 18.7897i | 1.22697 | + | 0.697831i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.54101 | − | 0.834730i | 0.353857 | − | 0.0309584i | 0.0911581 | − | 0.995836i | \(-0.470943\pi\) |
0.262698 | + | 0.964878i | \(0.415388\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.0084 | − | 15.0159i | 0.963273 | − | 0.556146i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 47.9230 | + | 17.4425i | 1.77250 | + | 0.645136i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 30.1358 | − | 8.07486i | 1.11309 | − | 0.298252i | 0.345007 | − | 0.938600i | \(-0.387877\pi\) |
0.768085 | + | 0.640348i | \(0.221210\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.0756208 | − | 23.3410i | −0.00278931 | − | 0.860946i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 18.3338 | + | 1.60400i | 0.675333 | + | 0.0590840i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 14.8938 | + | 40.9203i | 0.547876 | + | 1.50528i | 0.836573 | + | 0.547856i | \(0.184556\pi\) |
−0.288697 | + | 0.957421i | \(0.593222\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 10.6717 | − | 24.4748i | 0.392035 | − | 0.899105i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.05126 | + | 2.25443i | −0.0385669 | + | 0.0827070i | −0.924647 | − | 0.380825i | \(-0.875640\pi\) |
0.886080 | + | 0.463532i | \(0.153418\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 30.7904 | + | 8.14345i | 1.12807 | + | 0.298353i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.74819 | + | 1.22410i | 0.0639630 | + | 0.0447874i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.72884 | + | 2.99444i | −0.0631705 | + | 0.109415i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 10.7462 | − | 29.5249i | 0.392134 | − | 1.07738i | −0.573891 | − | 0.818932i | \(-0.694567\pi\) |
0.966025 | − | 0.258448i | \(-0.0832110\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 44.1327 | + | 11.8253i | 1.60829 | + | 0.430939i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.0550995 | + | 0.654194i | −0.00200528 | + | 0.0238086i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.55356 | − | 7.93130i | −0.201848 | − | 0.288268i | 0.705448 | − | 0.708762i | \(-0.250746\pi\) |
−0.907296 | + | 0.420494i | \(0.861857\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −28.2595 | −1.02576 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 7.46577 | 0.270634 | 0.135317 | − | 0.990802i | \(-0.456795\pi\) | ||||
0.135317 | + | 0.990802i | \(0.456795\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.37964 | + | 6.25477i | 0.158553 | + | 0.226438i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −6.58328 | − | 7.79423i | −0.238019 | − | 0.281801i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 39.3090 | + | 10.5328i | 1.41937 | + | 0.380318i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.59032 | + | 9.86433i | −0.129470 | + | 0.355717i | −0.987442 | − | 0.157980i | \(-0.949502\pi\) |
0.857972 | + | 0.513696i | \(0.171724\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.2924 | − | 23.0232i | 0.478715 | − | 0.829160i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −43.1004 | − | 30.1792i | −1.55021 | − | 1.08547i | −0.960655 | − | 0.277744i | \(-0.910413\pi\) |
−0.589558 | − | 0.807726i | \(-0.700698\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −22.6396 | + | 8.40668i | −0.813240 | + | 0.301977i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.12515 | + | 2.41289i | −0.0403645 | + | 0.0865619i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −28.2066 | − | 18.7110i | −1.01060 | − | 0.670392i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.14369 | + | 8.63721i | 0.112490 | + | 0.309064i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −42.2687 | − | 3.69803i | −1.51056 | − | 0.132157i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.76621 | − | 0.00572222i | 0.0630388 | − | 0.000204235i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.80841 | − | 1.02046i | 0.135755 | − | 0.0363754i | −0.190302 | − | 0.981726i | \(-0.560947\pi\) |
0.326057 | + | 0.945350i | \(0.394280\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 23.3095 | + | 8.48395i | 0.829839 | + | 0.302037i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.97762 | − | 1.71913i | 0.105872 | − | 0.0611253i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.8237 | + | 1.90932i | −0.774981 | + | 0.0678020i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 39.8085 | − | 18.7203i | 1.41186 | − | 0.663940i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 12.2777 | + | 12.2777i | 0.434898 | + | 0.434898i | 0.890291 | − | 0.455392i | \(-0.150501\pi\) |
−0.455392 | + | 0.890291i | \(0.650501\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 31.1002i | 1.10025i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 4.42715 | + | 0.780625i | 0.156426 | + | 0.0275820i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −2.20311 | − | 25.1817i | −0.0777462 | − | 0.888643i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 7.00296 | + | 3.23795i | 0.246822 | + | 0.114123i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −18.4740 | + | 8.61455i | −0.650314 | + | 0.303246i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −11.3728 | − | 6.56609i | −0.399847 | − | 0.230852i | 0.286571 | − | 0.958059i | \(-0.407484\pi\) |
−0.686418 | + | 0.727207i | \(0.740818\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 50.7076 | − | 8.94113i | 1.78059 | − | 0.313965i | 0.816063 | − | 0.577963i | \(-0.196152\pi\) |
0.964523 | + | 0.263998i | \(0.0850411\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.274416 | + | 3.13659i | −0.00962419 | + | 0.110005i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 27.3334 | − | 4.91097i | 0.957447 | − | 0.172024i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −9.50039 | + | 28.2975i | −0.332377 | + | 0.990004i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.12775 | + | 0.410468i | −0.0394068 | + | 0.0143429i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 10.0401 | − | 8.42464i | 0.350402 | − | 0.294022i | −0.450550 | − | 0.892751i | \(-0.648772\pi\) |
0.800951 | + | 0.598729i | \(0.204328\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 16.8605 | − | 24.0793i | 0.587721 | − | 0.839352i | −0.409618 | − | 0.912257i | \(-0.634338\pi\) |
0.997339 | + | 0.0729048i | \(0.0232269\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 20.1684 | + | 1.63289i | 0.702172 | + | 0.0568500i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −12.0095 | − | 25.7544i | −0.417610 | − | 0.895568i | −0.996767 | − | 0.0803518i | \(-0.974396\pi\) |
0.579156 | − | 0.815217i | \(-0.303382\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.6717 | + | 23.6801i | 0.474837 | + | 0.822442i | 0.999585 | − | 0.0288157i | \(-0.00917358\pi\) |
−0.524747 | + | 0.851258i | \(0.675840\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 7.46405 | − | 8.89531i | 0.258925 | − | 0.308575i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 41.2135 | − | 28.8580i | 1.42796 | − | 0.999871i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −31.6146 | − | 5.46895i | −1.09407 | − | 0.189261i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 19.0642 | − | 19.0642i | 0.658954 | − | 0.658954i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.64823 | + | 9.34760i | −0.0569033 | + | 0.322715i | −0.999951 | − | 0.00994405i | \(-0.996835\pi\) |
0.943047 | + | 0.332659i | \(0.107946\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 22.0471 | + | 18.4997i | 0.760244 | + | 0.637920i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −3.98359 | + | 14.8670i | −0.137202 | + | 0.512045i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1.59129 | − | 5.86273i | −0.0547420 | − | 0.201684i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.529439 | + | 1.97589i | 0.0181917 | + | 0.0678925i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −1.78762 | − | 10.1381i | −0.0613508 | − | 0.347938i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 15.6529 | + | 18.6544i | 0.536575 | + | 0.639466i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.11377 | + | 2.85090i | 0.209332 | + | 0.0976129i | 0.524456 | − | 0.851437i | \(-0.324269\pi\) |
−0.315125 | + | 0.949050i | \(0.602046\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.46363 | − | 3.96677i | 0.152653 | − | 0.135661i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −16.4626 | − | 7.67664i | −0.562352 | − | 0.262229i | 0.120589 | − | 0.992703i | \(-0.461522\pi\) |
−0.682941 | + | 0.730473i | \(0.739299\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.87826 | − | 7.00544i | −0.200564 | − | 0.239022i | 0.656383 | − | 0.754428i | \(-0.272086\pi\) |
−0.856946 | + | 0.515406i | \(0.827641\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.02946 | − | 5.83836i | −0.0350839 | − | 0.198971i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −3.50552 | − | 13.0828i | −0.119329 | − | 0.445343i | 0.880245 | − | 0.474520i | \(-0.157378\pi\) |
−0.999574 | + | 0.0291764i | \(0.990712\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.36473 | − | 14.5972i | 0.284409 | − | 0.496318i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −15.3807 | + | 57.4015i | −0.522355 | + | 1.94946i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 23.1698 | + | 19.4418i | 0.785982 | + | 0.659517i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.83723 | + | 27.4333i | −0.163903 | + | 0.929541i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.609284 | − | 0.609284i | 0.0206211 | − | 0.0206211i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −4.81080 | − | 2.71552i | −0.162635 | − | 0.0918013i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −29.4789 | + | 20.6414i | −0.995433 | + | 0.697009i | −0.953276 | − | 0.302102i | \(-0.902312\pi\) |
−0.0421569 | + | 0.999111i | \(0.513423\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 17.3307 | − | 20.6540i | 0.584551 | − | 0.696641i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −15.2716 | − | 26.4512i | −0.514514 | − | 0.891165i | −0.999858 | − | 0.0168414i | \(-0.994639\pi\) |
0.485344 | − | 0.874323i | \(-0.338694\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.8611 | + | 27.5806i | 0.432809 | + | 0.928162i | 0.994879 | + | 0.101072i | \(0.0322274\pi\) |
−0.562070 | + | 0.827090i | \(0.689995\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −27.2420 | − | 22.7088i | −0.915731 | − | 0.763347i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 6.36565 | − | 9.09110i | 0.213738 | − | 0.305249i | −0.697939 | − | 0.716157i | \(-0.745899\pi\) |
0.911677 | + | 0.410908i | \(0.134788\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.93073 | + | 2.45917i | −0.0982934 | + | 0.0824780i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −16.7033 | + | 6.07952i | −0.559583 | + | 0.203672i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −18.1973 | + | 0.457898i | −0.608950 | + | 0.0153230i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 17.6045 | − | 25.3160i | 0.588453 | − | 0.846220i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.72803 | − | 42.6116i | 0.124475 | − | 1.42276i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −36.1568 | + | 6.37542i | −1.20590 | + | 0.212632i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 82.1189 | + | 47.4114i | 2.73578 | + | 1.57950i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −4.73825 | + | 2.20948i | −0.157679 | + | 0.0735270i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 7.71144 | − | 16.6781i | 0.256337 | − | 0.554399i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.54076 | − | 40.4711i | −0.117569 | − | 1.34382i | −0.794271 | − | 0.607563i | \(-0.792147\pi\) |
0.676702 | − | 0.736257i | \(-0.263409\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −6.57107 | − | 1.15866i | −0.217949 | − | 0.0384302i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 17.8168i | − | 0.590296i | −0.955452 | − | 0.295148i | \(-0.904631\pi\) | ||
0.955452 | − | 0.295148i | \(-0.0953689\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −6.45132 | − | 6.45132i | −0.213507 | − | 0.213507i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 17.9613 | + | 6.47157i | 0.593783 | + | 0.213943i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −8.11218 | + | 0.709723i | −0.267888 | + | 0.0234371i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.61864 | + | 2.66658i | −0.152355 | + | 0.0879622i | −0.574239 | − | 0.818687i | \(-0.694702\pi\) |
0.421884 | + | 0.906650i | \(0.361369\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −40.2886 | − | 14.6638i | −1.32755 | − | 0.483190i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −13.4385 | + | 3.60083i | −0.442333 | + | 0.118523i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.0933 | − | 14.2178i | −0.331867 | − | 0.467479i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 1.43027 | + | 0.125133i | 0.0469763 | + | 0.00410990i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.96996 | − | 8.15991i | −0.0974413 | − | 0.267718i | 0.881389 | − | 0.472391i | \(-0.156609\pi\) |
−0.978830 | + | 0.204673i | \(0.934387\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 17.4922 | + | 23.6900i | 0.573283 | + | 0.776407i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −12.5442 | + | 26.9010i | −0.410677 | + | 0.880700i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 21.9301 | + | 37.7014i | 0.717191 | + | 1.23297i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −39.1356 | − | 27.4030i | −1.27850 | − | 0.895217i | −0.280592 | − | 0.959827i | \(-0.590531\pi\) |
−0.997911 | + | 0.0646098i | \(0.979420\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 21.0843 | − | 36.5191i | 0.688061 | − | 1.19176i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.10190 | − | 16.7648i | 0.198916 | − | 0.546518i | −0.799626 | − | 0.600499i | \(-0.794969\pi\) |
0.998542 | + | 0.0539806i | \(0.0171909\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −52.3781 | − | 14.0347i | −1.70567 | − | 0.457032i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 6.14549 | + | 0.517604i | 0.199913 | + | 0.0168377i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 5.98940 | + | 8.55374i | 0.194629 | + | 0.277959i | 0.904591 | − | 0.426281i | \(-0.140177\pi\) |
−0.709961 | + | 0.704240i | \(0.751288\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 38.2613 | 1.24201 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.3441 | 0.367859 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −17.4761 | − | 24.9585i | −0.566107 | − | 0.808485i | 0.429406 | − | 0.903112i | \(-0.358723\pi\) |
−0.995513 | + | 0.0946271i | \(0.969834\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 25.3641 | + | 2.13629i | 0.820762 | + | 0.0691287i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 29.7135 | + | 7.96170i | 0.960500 | + | 0.257365i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1.23923 | − | 3.40476i | 0.0400168 | − | 0.109945i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.83548 | + | 6.64325i | −0.123725 | + | 0.214299i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 3.51198 | + | 2.45911i | 0.113172 | + | 0.0792438i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 14.3992 | + | 24.7545i | 0.463526 | + | 0.796877i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.9073 | − | 23.3908i | 0.350756 | − | 0.752198i | −0.649209 | − | 0.760610i | \(-0.724900\pi\) |
0.999965 | + | 0.00841219i | \(0.00267771\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −48.7588 | − | 11.7587i | −1.56636 | − | 0.377743i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −17.2725 | − | 47.4558i | −0.554301 | − | 1.52293i | −0.827780 | − | 0.561052i | \(-0.810397\pi\) |
0.273479 | − | 0.961878i | \(-0.411826\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.11502 | + | 0.447506i | 0.163980 | + | 0.0143464i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −5.12282 | + | 30.1958i | −0.164061 | + | 0.967039i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −3.14630 | + | 0.843049i | −0.100659 | + | 0.0269715i | −0.308797 | − | 0.951128i | \(-0.599926\pi\) |
0.208138 | + | 0.978099i | \(0.433260\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −18.0591 | − | 6.57299i | −0.577173 | − | 0.210074i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 8.19934 | − | 4.73389i | 0.261785 | − | 0.151142i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.15469 | − | 0.188511i | 0.0687239 | − | 0.00601256i | −0.0527419 | − | 0.998608i | \(-0.516796\pi\) |
0.121466 | + | 0.992596i | \(0.461241\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 28.5030 | + | 10.2698i | 0.908182 | + | 0.327223i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.25441 | − | 2.25441i | −0.0717585 | − | 0.0717585i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 47.8199i | 1.52059i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 44.1414 | + | 7.78333i | 1.40220 | + | 0.247246i | 0.823047 | − | 0.567974i | \(-0.192272\pi\) |
0.579152 | + | 0.815219i | \(0.303384\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −3.28326 | − | 37.5279i | −0.104191 | − | 1.19091i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −23.3538 | + | 50.5090i | −0.740366 | + | 1.60124i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −29.0842 | + | 13.5622i | −0.921107 | + | 0.429519i | −0.824538 | − | 0.565807i | \(-0.808565\pi\) |
−0.0965694 | + | 0.995326i | \(0.530787\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 16.8577 | + | 9.73278i | 0.533353 | + | 0.307932i |
(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 | 380.2.bh.a.33.4 | ✓ | 120 | |
5.2 | odd | 4 | inner | 380.2.bh.a.337.4 | yes | 120 | |
19.15 | odd | 18 | inner | 380.2.bh.a.53.4 | yes | 120 | |
95.72 | even | 36 | inner | 380.2.bh.a.357.4 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.bh.a.33.4 | ✓ | 120 | 1.1 | even | 1 | trivial | |
380.2.bh.a.53.4 | yes | 120 | 19.15 | odd | 18 | inner | |
380.2.bh.a.337.4 | yes | 120 | 5.2 | odd | 4 | inner | |
380.2.bh.a.357.4 | yes | 120 | 95.72 | even | 36 | inner |