Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [684,2,Mod(35,684)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(684, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("684.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 684 = 2^{2} \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 684.ce (of order \(18\), degree \(6\), 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: | \(5.46176749826\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 359.10 | ||
Character | \(\chi\) | \(=\) | 684.359 |
Dual form | 684.2.ce.a.503.10 |
$q$-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 \(\left(\mathbb{Z}/684\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(343\) | \(533\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15058 | + | 0.822300i | −0.813579 | + | 0.581454i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.647646 | − | 1.89224i | 0.323823 | − | 0.946118i | ||||
\(5\) | 1.01606 | + | 2.79162i | 0.454398 | + | 1.24845i | 0.929600 | + | 0.368571i | \(0.120153\pi\) |
−0.475202 | + | 0.879877i | \(0.657625\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.81271 | − | 1.04657i | 0.685141 | − | 0.395567i | −0.116648 | − | 0.993173i | \(-0.537215\pi\) |
0.801789 | + | 0.597607i | \(0.203882\pi\) | |||||||
\(8\) | 0.810819 | + | 2.70972i | 0.286668 | + | 0.958030i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.46460 | − | 2.37645i | −1.09560 | − | 0.751500i | ||||
\(11\) | −0.542664 | + | 0.939922i | −0.163619 | + | 0.283397i | −0.936164 | − | 0.351563i | \(-0.885650\pi\) |
0.772545 | + | 0.634960i | \(0.218984\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.68239 | + | 3.08989i | −1.02131 | + | 0.856981i | −0.989792 | − | 0.142522i | \(-0.954479\pi\) |
−0.0315184 | + | 0.999503i | \(0.510034\pi\) | |||||||
\(14\) | −1.22507 | + | 2.69475i | −0.327413 | + | 0.720203i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.16111 | − | 2.45100i | −0.790277 | − | 0.612750i | ||||
\(17\) | 2.52096 | + | 0.444514i | 0.611424 | + | 0.107810i | 0.470781 | − | 0.882250i | \(-0.343972\pi\) |
0.140642 | + | 0.990060i | \(0.455083\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.19887 | + | 2.96095i | 0.733871 | + | 0.679289i | ||||
\(20\) | 5.94044 | − | 0.114655i | 1.32832 | − | 0.0256375i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.148522 | − | 1.52768i | −0.0316649 | − | 0.325703i | ||||
\(23\) | 0.120109 | + | 0.0437162i | 0.0250445 | + | 0.00911546i | 0.354512 | − | 0.935051i | \(-0.384647\pi\) |
−0.329468 | + | 0.944167i | \(0.606869\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.93051 | + | 2.45899i | −0.586101 | + | 0.491797i | ||||
\(26\) | 1.69605 | − | 6.58317i | 0.332622 | − | 1.29107i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.806361 | − | 4.10789i | −0.152388 | − | 0.776318i | ||||
\(29\) | −3.05488 | + | 0.538657i | −0.567276 | + | 0.100026i | −0.449928 | − | 0.893065i | \(-0.648550\pi\) |
−0.117348 | + | 0.993091i | \(0.537439\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.84124 | − | 4.52714i | 1.40833 | − | 0.813099i | 0.413101 | − | 0.910685i | \(-0.364446\pi\) |
0.995227 | + | 0.0975865i | \(0.0311123\pi\) | |||||||
\(32\) | 5.65255 | + | 0.220679i | 0.999239 | + | 0.0390109i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.26608 | + | 1.56154i | −0.560128 | + | 0.267802i | ||||
\(35\) | 4.76346 | + | 3.99702i | 0.805171 | + | 0.675619i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.94440 | −0.977254 | −0.488627 | − | 0.872493i | \(-0.662502\pi\) | ||||
−0.488627 | + | 0.872493i | \(0.662502\pi\) | |||||||
\(38\) | −6.11533 | − | 0.776372i | −0.992037 | − | 0.125944i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.74065 | + | 5.01674i | −1.06579 | + | 0.793217i | ||||
\(41\) | −2.87061 | + | 3.42106i | −0.448314 | + | 0.534280i | −0.942113 | − | 0.335296i | \(-0.891164\pi\) |
0.493798 | + | 0.869576i | \(0.335608\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.613400 | + | 1.68530i | 0.0935426 | + | 0.257006i | 0.977636 | − | 0.210304i | \(-0.0674454\pi\) |
−0.884093 | + | 0.467310i | \(0.845223\pi\) | |||||||
\(44\) | 1.42710 | + | 1.63559i | 0.215143 | + | 0.246574i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.174143 | + | 0.0484671i | −0.0256759 | + | 0.00714608i | ||||
\(47\) | 0.132267 | + | 0.750121i | 0.0192931 | + | 0.109416i | 0.992934 | − | 0.118672i | \(-0.0378636\pi\) |
−0.973640 | + | 0.228088i | \(0.926753\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.30938 | + | 2.26791i | −0.187054 | + | 0.323987i | ||||
\(50\) | 1.34974 | − | 5.23900i | 0.190882 | − | 0.740907i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.46191 | + | 8.96909i | 0.480081 | + | 1.24379i | ||||
\(53\) | −2.51441 | + | 6.90828i | −0.345381 | + | 0.948926i | 0.638424 | + | 0.769685i | \(0.279586\pi\) |
−0.983805 | + | 0.179241i | \(0.942636\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.17528 | − | 0.559888i | −0.428155 | − | 0.0754953i | ||||
\(56\) | 4.30569 | + | 4.06336i | 0.575373 | + | 0.542990i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.07193 | − | 3.13179i | 0.403364 | − | 0.411224i | ||||
\(59\) | −1.87438 | + | 10.6301i | −0.244024 | + | 1.38393i | 0.578726 | + | 0.815522i | \(0.303550\pi\) |
−0.822749 | + | 0.568404i | \(0.807561\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.2132 | + | 4.44524i | 1.56374 | + | 0.569155i | 0.971590 | − | 0.236672i | \(-0.0760566\pi\) |
0.592151 | + | 0.805827i | \(0.298279\pi\) | |||||||
\(62\) | −5.29927 | + | 11.6567i | −0.673008 | + | 1.48040i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.68515 | + | 4.39418i | −0.835643 | + | 0.549273i | ||||
\(65\) | −12.3673 | − | 7.14028i | −1.53398 | − | 0.885642i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.3138 | + | 2.17126i | −1.50437 | + | 0.265261i | −0.864270 | − | 0.503029i | \(-0.832219\pi\) |
−0.640102 | + | 0.768290i | \(0.721108\pi\) | |||||||
\(68\) | 2.47382 | − | 4.48237i | 0.299994 | − | 0.543567i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −8.76746 | − | 0.681877i | −1.04791 | − | 0.0814999i | ||||
\(71\) | −1.31593 | + | 0.478960i | −0.156172 | + | 0.0568421i | −0.418923 | − | 0.908022i | \(-0.637592\pi\) |
0.262751 | + | 0.964864i | \(0.415370\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.50196 | + | 4.61669i | 0.643956 | + | 0.540343i | 0.905230 | − | 0.424921i | \(-0.139698\pi\) |
−0.261274 | + | 0.965265i | \(0.584143\pi\) | |||||||
\(74\) | 6.83948 | − | 4.88808i | 0.795074 | − | 0.568228i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.67456 | − | 4.13536i | 0.880332 | − | 0.474358i | ||||
\(77\) | 2.27175i | 0.258889i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.67294 | − | 11.5278i | 1.08829 | − | 1.29697i | 0.136360 | − | 0.990659i | \(-0.456460\pi\) |
0.951930 | − | 0.306315i | \(-0.0990960\pi\) | |||||||
\(80\) | 3.63035 | − | 11.3150i | 0.405886 | − | 1.26505i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.489716 | − | 6.29670i | 0.0540801 | − | 0.695354i | ||||
\(83\) | −7.10895 | − | 12.3131i | −0.780309 | − | 1.35153i | −0.931762 | − | 0.363070i | \(-0.881729\pi\) |
0.151453 | − | 0.988464i | \(-0.451605\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.32055 | + | 7.48922i | 0.143234 | + | 0.812319i | ||||
\(86\) | −2.09159 | − | 1.43467i | −0.225542 | − | 0.154704i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.98693 | − | 0.708361i | −0.318407 | − | 0.0755115i | ||||
\(89\) | 1.26059 | + | 1.50231i | 0.133622 | + | 0.159245i | 0.828706 | − | 0.559684i | \(-0.189077\pi\) |
−0.695084 | + | 0.718928i | \(0.744633\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.44132 | + | 9.45496i | −0.360749 | + | 0.991149i | ||||
\(92\) | 0.160510 | − | 0.198962i | 0.0167343 | − | 0.0207433i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.769007 | − | 0.754308i | −0.0793170 | − | 0.0778009i | ||||
\(95\) | −5.01559 | + | 11.9385i | −0.514588 | + | 1.22487i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.940339 | − | 5.33293i | 0.0954769 | − | 0.541477i | −0.899123 | − | 0.437696i | \(-0.855795\pi\) |
0.994600 | − | 0.103781i | \(-0.0330941\pi\) | |||||||
\(98\) | −0.358364 | − | 3.68611i | −0.0362002 | − | 0.372353i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.75505 | + | 7.13776i | 0.275505 | + | 0.713776i | ||||
\(101\) | −9.35047 | − | 11.1435i | −0.930406 | − | 1.10881i | −0.993840 | − | 0.110829i | \(-0.964649\pi\) |
0.0634334 | − | 0.997986i | \(-0.479795\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 15.3034 | + | 8.83540i | 1.50788 | + | 0.870578i | 0.999958 | + | 0.00917727i | \(0.00292126\pi\) |
0.507927 | + | 0.861400i | \(0.330412\pi\) | |||||||
\(104\) | −11.3585 | − | 7.47289i | −1.11379 | − | 0.732777i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.78766 | − | 10.0161i | −0.270762 | − | 0.972849i | ||||
\(107\) | 0.654545 | + | 1.13371i | 0.0632773 | + | 0.109599i | 0.895929 | − | 0.444198i | \(-0.146511\pi\) |
−0.832651 | + | 0.553798i | \(0.813178\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.79690 | + | 3.56578i | −0.938373 | + | 0.341540i | −0.765523 | − | 0.643409i | \(-0.777520\pi\) |
−0.172850 | + | 0.984948i | \(0.555297\pi\) | |||||||
\(110\) | 4.11380 | − | 1.96684i | 0.392235 | − | 0.187531i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −8.29533 | − | 1.13463i | −0.783835 | − | 0.107213i | ||||
\(113\) | 4.74832i | 0.446684i | 0.974740 | + | 0.223342i | \(0.0716967\pi\) | ||||
−0.974740 | + | 0.223342i | \(0.928303\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.379717i | 0.0354088i | ||||||||
\(116\) | −0.959213 | + | 6.12940i | −0.0890607 | + | 0.569101i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.58455 | − | 13.7721i | −0.606157 | − | 1.26782i | ||||
\(119\) | 5.03500 | − | 1.83259i | 0.461558 | − | 0.167993i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.91103 | + | 8.50616i | 0.446457 | + | 0.773287i | ||||
\(122\) | −17.7075 | + | 4.92833i | −1.60316 | + | 0.446190i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.48807 | − | 17.7695i | −0.313238 | − | 1.59574i | ||||
\(125\) | 3.02171 | + | 1.74458i | 0.270270 | + | 0.156040i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.86296 | − | 3.41194i | −0.254046 | − | 0.302761i | 0.623915 | − | 0.781492i | \(-0.285541\pi\) |
−0.877961 | + | 0.478732i | \(0.841097\pi\) | |||||||
\(128\) | 4.07843 | − | 10.5530i | 0.360486 | − | 0.932765i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 20.1010 | − | 1.95422i | 1.76297 | − | 0.171396i | ||||
\(131\) | 1.92973 | − | 10.9441i | 0.168602 | − | 0.956187i | −0.776671 | − | 0.629906i | \(-0.783093\pi\) |
0.945273 | − | 0.326281i | \(-0.105795\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.89748 | + | 2.01952i | 0.771509 | + | 0.175115i | ||||
\(134\) | 12.3825 | − | 12.6238i | 1.06969 | − | 1.09053i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.839537 | + | 7.19152i | 0.0719897 | + | 0.616668i | ||||
\(137\) | 4.10971 | − | 11.2913i | 0.351116 | − | 0.964683i | −0.630897 | − | 0.775867i | \(-0.717313\pi\) |
0.982013 | − | 0.188816i | \(-0.0604649\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.99048 | + | 4.75567i | 0.338468 | + | 0.403371i | 0.908252 | − | 0.418424i | \(-0.137417\pi\) |
−0.569783 | + | 0.821795i | \(0.692973\pi\) | |||||||
\(140\) | 10.6483 | − | 6.42493i | 0.899948 | − | 0.543006i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.12023 | − | 1.63317i | 0.0940076 | − | 0.137053i | ||||
\(143\) | −0.905955 | − | 5.13793i | −0.0757598 | − | 0.429655i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.60767 | − | 7.98073i | −0.382647 | − | 0.662763i | ||||
\(146\) | −10.1267 | − | 0.787592i | −0.838094 | − | 0.0651815i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.84987 | + | 11.2482i | −0.316457 | + | 0.924597i | ||||
\(149\) | 12.9604 | − | 15.4456i | 1.06176 | − | 1.26535i | 0.0989704 | − | 0.995090i | \(-0.468445\pi\) |
0.962787 | − | 0.270262i | \(-0.0871105\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 19.9710i | − | 1.62522i | −0.582809 | − | 0.812609i | \(-0.698047\pi\) | ||
0.582809 | − | 0.812609i | \(-0.301953\pi\) | |||||||
\(152\) | −5.42965 | + | 11.0688i | −0.440403 | + | 0.897800i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.86806 | − | 2.61381i | −0.150532 | − | 0.210627i | ||||
\(155\) | 20.6052 | + | 17.2899i | 1.65505 | + | 1.38875i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.55341 | − | 0.565395i | 0.123976 | − | 0.0451234i | −0.279287 | − | 0.960208i | \(-0.590098\pi\) |
0.403263 | + | 0.915084i | \(0.367876\pi\) | |||||||
\(158\) | −1.65017 | + | 21.2176i | −0.131280 | + | 1.68798i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.12730 | + | 16.0040i | 0.405349 | + | 1.26522i | ||||
\(161\) | 0.263476 | − | 0.0464579i | 0.0207648 | − | 0.00366140i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.97254 | + | 1.71620i | 0.232827 | + | 0.134423i | 0.611876 | − | 0.790954i | \(-0.290415\pi\) |
−0.379048 | + | 0.925377i | \(0.623749\pi\) | |||||||
\(164\) | 4.61432 | + | 7.64751i | 0.360317 | + | 0.597171i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 18.3044 | + | 8.32142i | 1.42070 | + | 0.645867i | ||||
\(167\) | −11.8754 | − | 4.32229i | −0.918945 | − | 0.334469i | −0.161126 | − | 0.986934i | \(-0.551513\pi\) |
−0.757819 | + | 0.652465i | \(0.773735\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.75513 | − | 9.95382i | 0.135010 | − | 0.765678i | ||||
\(170\) | −7.67777 | − | 7.53102i | −0.588858 | − | 0.577603i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.58625 | − | 0.0692171i | 0.273449 | − | 0.00527776i | ||||
\(173\) | 21.3410 | + | 3.76300i | 1.62253 | + | 0.286096i | 0.909708 | − | 0.415249i | \(-0.136306\pi\) |
0.712822 | + | 0.701345i | \(0.247417\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.73866 | + | 7.52442i | −0.207024 | + | 0.568793i | ||||
\(176\) | 4.01917 | − | 1.64113i | 0.302956 | − | 0.123705i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.68575 | − | 0.691940i | −0.201305 | − | 0.0518631i | ||||
\(179\) | 11.9400 | − | 20.6806i | 0.892434 | − | 1.54574i | 0.0554859 | − | 0.998459i | \(-0.482329\pi\) |
0.836948 | − | 0.547282i | \(-0.184337\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.09322 | − | 23.2138i | −0.304247 | − | 1.72547i | −0.627030 | − | 0.778995i | \(-0.715730\pi\) |
0.322783 | − | 0.946473i | \(-0.395382\pi\) | |||||||
\(182\) | −3.81531 | − | 13.7084i | −0.282810 | − | 1.01614i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.0210717 | + | 0.360908i | −0.00155343 | + | 0.0266065i | ||||
\(185\) | −6.03990 | − | 16.5945i | −0.444062 | − | 1.22005i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.78585 | + | 2.12829i | −0.130594 | + | 0.155636i | ||||
\(188\) | 1.50507 | + | 0.235534i | 0.109768 | + | 0.0171781i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.04624 | − | 17.8605i | −0.293545 | − | 1.29574i | ||||
\(191\) | 8.66701 | 0.627123 | 0.313562 | − | 0.949568i | \(-0.398478\pi\) | ||||
0.313562 | + | 0.949568i | \(0.398478\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.69899 | + | 8.13842i | 0.698149 | + | 0.585816i | 0.921246 | − | 0.388980i | \(-0.127172\pi\) |
−0.223098 | + | 0.974796i | \(0.571617\pi\) | |||||||
\(194\) | 3.30333 | + | 6.90917i | 0.237166 | + | 0.496050i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.44341 | + | 3.94646i | 0.245958 | + | 0.281890i | ||||
\(197\) | −5.75213 | + | 3.32099i | −0.409822 | + | 0.236611i | −0.690713 | − | 0.723129i | \(-0.742703\pi\) |
0.280891 | + | 0.959740i | \(0.409370\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.32409 | − | 1.29143i | 0.519191 | − | 0.0915473i | 0.0920887 | − | 0.995751i | \(-0.470646\pi\) |
0.427102 | + | 0.904203i | \(0.359535\pi\) | |||||||
\(200\) | −9.03927 | − | 5.94705i | −0.639173 | − | 0.420520i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 19.9217 | + | 5.13249i | 1.40168 | + | 0.361121i | ||||
\(203\) | −4.97387 | + | 4.17357i | −0.349097 | + | 0.292927i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.4670 | − | 4.53762i | −0.870735 | − | 0.316921i | ||||
\(206\) | −24.8730 | + | 2.41816i | −1.73298 | + | 0.168481i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 19.2137 | − | 0.741952i | 1.33223 | − | 0.0514451i | ||||
\(209\) | −4.51898 | + | 1.39988i | −0.312584 | + | 0.0968319i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.08908 | + | 0.192034i | 0.0749751 | + | 0.0132201i | 0.211010 | − | 0.977484i | \(-0.432325\pi\) |
−0.136035 | + | 0.990704i | \(0.543436\pi\) | |||||||
\(212\) | 11.4437 | + | 9.23198i | 0.785953 | + | 0.634055i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.68535 | − | 0.766181i | −0.115208 | − | 0.0523751i | ||||
\(215\) | −4.08146 | + | 3.42475i | −0.278353 | + | 0.233566i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.47595 | − | 16.4128i | 0.643269 | − | 1.11418i | ||||
\(218\) | 8.33993 | − | 12.1587i | 0.564851 | − | 0.823490i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.11590 | + | 5.64577i | −0.210074 | + | 0.380638i | ||||
\(221\) | −10.6567 | + | 6.15262i | −0.716844 | + | 0.413870i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.631099 | − | 1.73393i | −0.0422615 | − | 0.116113i | 0.916767 | − | 0.399423i | \(-0.130790\pi\) |
−0.959028 | + | 0.283310i | \(0.908567\pi\) | |||||||
\(224\) | 10.4774 | − | 5.51576i | 0.700051 | − | 0.368537i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.90454 | − | 5.46330i | −0.259726 | − | 0.363413i | ||||
\(227\) | −22.6267 | −1.50178 | −0.750892 | − | 0.660425i | \(-0.770376\pi\) | ||||
−0.750892 | + | 0.660425i | \(0.770376\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.0074 | 0.925633 | 0.462817 | − | 0.886454i | \(-0.346839\pi\) | ||||
0.462817 | + | 0.886454i | \(0.346839\pi\) | |||||||
\(230\) | −0.312242 | − | 0.436893i | −0.0205886 | − | 0.0288079i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.93656 | − | 7.84110i | −0.258448 | − | 0.514793i | ||||
\(233\) | 3.53724 | + | 9.71849i | 0.231732 | + | 0.636680i | 0.999994 | − | 0.00345641i | \(-0.00110021\pi\) |
−0.768262 | + | 0.640136i | \(0.778878\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.95966 | + | 1.13141i | −0.127834 | + | 0.0738050i | ||||
\(236\) | 18.9008 | + | 10.4313i | 1.23034 | + | 0.679022i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.28621 | + | 6.24881i | −0.277834 | + | 0.405050i | ||||
\(239\) | −6.26518 | + | 10.8516i | −0.405261 | + | 0.701932i | −0.994352 | − | 0.106135i | \(-0.966153\pi\) |
0.589091 | + | 0.808067i | \(0.299486\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.27967 | + | 2.75197i | −0.211262 | + | 0.177270i | −0.742278 | − | 0.670092i | \(-0.766255\pi\) |
0.531016 | + | 0.847362i | \(0.321810\pi\) | |||||||
\(242\) | −12.6451 | − | 5.74863i | −0.812859 | − | 0.369536i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 16.3213 | − | 20.2313i | 1.04486 | − | 1.29518i | ||||
\(245\) | −7.66155 | − | 1.35094i | −0.489479 | − | 0.0863083i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −20.9285 | − | 1.01923i | −1.33165 | − | 0.0648520i | ||||
\(248\) | 18.6251 | + | 17.5769i | 1.18270 | + | 1.11613i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.91127 | + | 0.477475i | −0.310616 | + | 0.0301982i | ||||
\(251\) | 12.4197 | + | 4.52041i | 0.783925 | + | 0.285326i | 0.702809 | − | 0.711379i | \(-0.251929\pi\) |
0.0811169 | + | 0.996705i | \(0.474151\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.106269 | + | 0.0891702i | −0.00668107 | + | 0.00560608i | ||||
\(254\) | 6.09968 | + | 1.57148i | 0.382728 | + | 0.0986037i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.98522 | + | 15.4957i | 0.249076 | + | 0.968484i | ||||
\(257\) | 21.2568 | − | 3.74814i | 1.32596 | − | 0.233803i | 0.534576 | − | 0.845121i | \(-0.320471\pi\) |
0.791385 | + | 0.611318i | \(0.209360\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.7755 | + | 6.22124i | −0.669557 | + | 0.386569i | ||||
\(260\) | −21.5207 | + | 18.7775i | −1.33466 | + | 1.16453i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 6.77899 | + | 14.1788i | 0.418808 | + | 0.875968i | ||||
\(263\) | −5.97966 | − | 5.01753i | −0.368721 | − | 0.309394i | 0.439534 | − | 0.898226i | \(-0.355144\pi\) |
−0.808256 | + | 0.588832i | \(0.799588\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −21.8401 | −1.34163 | ||||||||
\(266\) | −11.8979 | + | 4.99278i | −0.729505 | + | 0.306127i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.86647 | + | 24.7068i | −0.236182 | + | 1.50921i | ||||
\(269\) | 3.92322 | − | 4.67552i | 0.239203 | − | 0.285071i | −0.633065 | − | 0.774098i | \(-0.718204\pi\) |
0.872269 | + | 0.489027i | \(0.162648\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.25603 | − | 17.1883i | −0.380027 | − | 1.04411i | −0.971344 | − | 0.237676i | \(-0.923614\pi\) |
0.591318 | − | 0.806439i | \(-0.298608\pi\) | |||||||
\(272\) | −6.87954 | − | 7.58403i | −0.417133 | − | 0.459850i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.55633 | + | 16.3709i | 0.275258 | + | 0.989004i | ||||
\(275\) | −0.720975 | − | 4.08885i | −0.0434764 | − | 0.246567i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.75525 | − | 6.50428i | 0.225631 | − | 0.390804i | −0.730878 | − | 0.682509i | \(-0.760889\pi\) |
0.956509 | + | 0.291704i | \(0.0942223\pi\) | |||||||
\(278\) | −8.50194 | − | 2.19039i | −0.509913 | − | 0.131371i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.96848 | + | 16.1485i | −0.416447 | + | 0.965056i | ||||
\(281\) | 0.202085 | − | 0.555224i | 0.0120554 | − | 0.0331219i | −0.933519 | − | 0.358528i | \(-0.883279\pi\) |
0.945574 | + | 0.325406i | \(0.105501\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −29.7576 | − | 5.24706i | −1.76890 | − | 0.311905i | −0.808081 | − | 0.589071i | \(-0.799494\pi\) |
−0.960822 | + | 0.277166i | \(0.910605\pi\) | |||||||
\(284\) | 0.0540467 | + | 2.80025i | 0.00320708 | + | 0.166164i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5.26729 | + | 5.16660i | 0.311461 | + | 0.305508i | ||||
\(287\) | −1.62321 | + | 9.20571i | −0.0958153 | + | 0.543396i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.81711 | − | 3.57314i | −0.577477 | − | 0.210184i | ||||
\(290\) | 11.8640 | + | 5.39354i | 0.696680 | + | 0.316719i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 12.2992 | − | 7.42102i | 0.719756 | − | 0.434282i | ||||
\(293\) | 0.230965 | + | 0.133348i | 0.0134931 | + | 0.00779026i | 0.506731 | − | 0.862104i | \(-0.330854\pi\) |
−0.493238 | + | 0.869894i | \(0.664187\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −31.5798 | + | 5.56836i | −1.83864 | + | 0.324203i | ||||
\(296\) | −4.81983 | − | 16.1077i | −0.280147 | − | 0.936239i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −2.21100 | + | 28.4287i | −0.128080 | + | 1.64683i | ||||
\(299\) | −0.577367 | + | 0.210144i | −0.0333900 | + | 0.0121530i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.87571 | + | 2.41300i | 0.165753 | + | 0.139083i | ||||
\(302\) | 16.4222 | + | 22.9782i | 0.944989 | + | 1.32224i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.85468 | − | 17.2003i | −0.163727 | − | 0.986506i | ||||
\(305\) | 38.6112i | 2.21087i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.90629 | + | 7.03884i | −0.337090 | + | 0.401728i | −0.907786 | − | 0.419433i | \(-0.862229\pi\) |
0.570696 | + | 0.821161i | \(0.306673\pi\) | |||||||
\(308\) | 4.29868 | + | 1.47129i | 0.244940 | + | 0.0838344i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −37.9253 | − | 2.94959i | −2.15401 | − | 0.167525i | ||||
\(311\) | −14.1660 | − | 24.5362i | −0.803279 | − | 1.39132i | −0.917447 | − | 0.397859i | \(-0.869753\pi\) |
0.114167 | − | 0.993462i | \(-0.463580\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.0956509 | − | 0.542463i | −0.00540651 | − | 0.0306618i | 0.981985 | − | 0.188958i | \(-0.0605110\pi\) |
−0.987392 | + | 0.158296i | \(0.949400\pi\) | |||||||
\(314\) | −1.32239 | + | 1.92790i | −0.0746268 | + | 0.108798i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −15.5486 | − | 25.7694i | −0.874676 | − | 1.44964i | ||||
\(317\) | −13.6497 | − | 16.2670i | −0.766642 | − | 0.913648i | 0.231607 | − | 0.972810i | \(-0.425602\pi\) |
−0.998248 | + | 0.0591615i | \(0.981157\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.15148 | − | 3.16365i | 0.0644703 | − | 0.177131i | ||||
\(320\) | −19.0594 | − | 14.1976i | −1.06545 | − | 0.793669i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.264946 | + | 0.270109i | −0.0147649 | + | 0.0150526i | ||||
\(323\) | 6.74804 | + | 8.88640i | 0.375471 | + | 0.494452i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.19326 | − | 18.1099i | 0.177130 | − | 1.00455i | ||||
\(326\) | −4.83136 | + | 0.469706i | −0.267584 | + | 0.0260146i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −11.5977 | − | 5.00469i | −0.640374 | − | 0.276338i | ||||
\(329\) | 1.02482 | + | 1.22133i | 0.0565000 | + | 0.0673340i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.7788 | + | 11.4193i | 1.08714 | + | 0.627660i | 0.932813 | − | 0.360360i | \(-0.117346\pi\) |
0.154326 | + | 0.988020i | \(0.450679\pi\) | |||||||
\(332\) | −27.9033 | + | 5.47730i | −1.53139 | + | 0.300606i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 17.2177 | − | 4.79201i | 0.942113 | − | 0.262207i | ||||
\(335\) | −18.5729 | − | 32.1693i | −1.01475 | − | 1.75760i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.66442 | + | 3.51756i | −0.526455 | + | 0.191614i | −0.591555 | − | 0.806265i | \(-0.701486\pi\) |
0.0651000 | + | 0.997879i | \(0.479263\pi\) | |||||||
\(338\) | 6.16562 | + | 12.8959i | 0.335365 | + | 0.701442i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 15.0266 | + | 2.35157i | 0.814932 | + | 0.127532i | ||||
\(341\) | 9.82687i | 0.532155i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 20.1334i | 1.08710i | ||||||||
\(344\) | −4.06934 | + | 3.02862i | −0.219404 | + | 0.163292i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −27.6488 | + | 13.2191i | −1.48641 | + | 0.710664i | ||||
\(347\) | 18.2023 | − | 6.62508i | 0.977148 | − | 0.355653i | 0.196417 | − | 0.980520i | \(-0.437069\pi\) |
0.780731 | + | 0.624867i | \(0.214847\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.3892 | − | 26.6549i | −0.823767 | − | 1.42681i | −0.902858 | − | 0.429938i | \(-0.858535\pi\) |
0.0790915 | − | 0.996867i | \(-0.474798\pi\) | |||||||
\(350\) | −3.03629 | − | 10.9094i | −0.162296 | − | 0.583133i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.27486 | + | 5.19320i | −0.174550 | + | 0.276798i | ||||
\(353\) | 29.1983 | + | 16.8576i | 1.55407 | + | 0.897241i | 0.997804 | + | 0.0662338i | \(0.0210983\pi\) |
0.556262 | + | 0.831007i | \(0.312235\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.67415 | − | 3.18692i | −0.141929 | − | 0.169144i | ||||
\(356\) | 3.65914 | − | 1.41236i | 0.193934 | − | 0.0748551i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.26784 | + | 33.6128i | 0.172711 | + | 1.77649i | ||||
\(359\) | 6.24882 | − | 35.4388i | 0.329800 | − | 1.87039i | −0.143738 | − | 0.989616i | \(-0.545912\pi\) |
0.473538 | − | 0.880773i | \(-0.342977\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.46551 | + | 18.9434i | 0.0771319 | + | 0.997021i | ||||
\(362\) | 23.7983 | + | 23.3434i | 1.25081 | + | 1.22690i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.6622 | + | 12.6353i | 0.820925 | + | 0.662268i | ||||
\(365\) | −7.29768 | + | 20.0502i | −0.381978 | + | 1.04948i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.66122 | + | 9.13028i | 0.399912 | + | 0.476597i | 0.927993 | − | 0.372597i | \(-0.121533\pi\) |
−0.528081 | + | 0.849194i | \(0.677088\pi\) | |||||||
\(368\) | −0.272530 | − | 0.432579i | −0.0142066 | − | 0.0225498i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 20.5950 | + | 14.1266i | 1.07068 | + | 0.734407i | ||||
\(371\) | 2.67210 | + | 15.1542i | 0.138729 | + | 0.786769i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.8611 | + | 20.5439i | 0.614142 | + | 1.06373i | 0.990534 | + | 0.137265i | \(0.0438312\pi\) |
−0.376392 | + | 0.926460i | \(0.622835\pi\) | |||||||
\(374\) | 0.304659 | − | 3.91725i | 0.0157535 | − | 0.202556i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.92537 | + | 0.966618i | −0.0992935 | + | 0.0498495i | ||||
\(377\) | 9.58484 | − | 11.4228i | 0.493644 | − | 0.588302i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 17.7952i | − | 0.914079i | −0.889446 | − | 0.457039i | \(-0.848910\pi\) | ||
0.889446 | − | 0.457039i | \(-0.151090\pi\) | |||||||
\(380\) | 19.3422 | + | 17.2226i | 0.992233 | + | 0.883501i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −9.97205 | + | 7.12688i | −0.510214 | + | 0.364643i | ||||
\(383\) | −18.1927 | − | 15.2655i | −0.929603 | − | 0.780030i | 0.0461430 | − | 0.998935i | \(-0.485307\pi\) |
−0.975746 | + | 0.218905i | \(0.929751\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.34184 | + | 2.30824i | −0.323210 | + | 0.117639i | ||||
\(386\) | −17.8516 | − | 1.38839i | −0.908624 | − | 0.0706670i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −9.48214 | − | 5.23319i | −0.481383 | − | 0.265675i | ||||
\(389\) | 24.8694 | − | 4.38515i | 1.26093 | − | 0.222336i | 0.497066 | − | 0.867713i | \(-0.334411\pi\) |
0.763864 | + | 0.645377i | \(0.223300\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.283359 | + | 0.163597i | 0.0143301 | + | 0.00827347i | ||||
\(392\) | −7.20707 | − | 1.70918i | −0.364012 | − | 0.0863268i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.88740 | − | 8.55102i | 0.195845 | − | 0.430794i | ||||
\(395\) | 42.0094 | + | 15.2902i | 2.11372 | + | 0.769332i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.332266 | + | 1.88438i | −0.0166760 | + | 0.0945742i | −0.992010 | − | 0.126161i | \(-0.959734\pi\) |
0.975334 | + | 0.220735i | \(0.0708456\pi\) | |||||||
\(398\) | −7.36496 | + | 7.50849i | −0.369172 | + | 0.376366i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.2906 | − | 0.590458i | 0.764531 | − | 0.0295229i | ||||
\(401\) | 5.66914 | + | 0.999623i | 0.283103 | + | 0.0499188i | 0.313397 | − | 0.949622i | \(-0.398533\pi\) |
−0.0302933 | + | 0.999541i | \(0.509644\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −14.8861 | + | 40.8992i | −0.741530 | + | 2.03734i | ||||
\(404\) | −27.1418 | + | 10.4763i | −1.35036 | + | 0.521214i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.29088 | − | 8.89202i | 0.113695 | − | 0.441304i | ||||
\(407\) | 3.22582 | − | 5.58728i | 0.159898 | − | 0.276951i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.12062 | + | 12.0266i | 0.104858 | + | 0.594679i | 0.991277 | + | 0.131795i | \(0.0420741\pi\) |
−0.886419 | + | 0.462884i | \(0.846815\pi\) | |||||||
\(410\) | 18.0755 | − | 5.03075i | 0.892687 | − | 0.248451i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 26.6298 | − | 23.2353i | 1.31196 | − | 1.14472i | ||||
\(413\) | 7.72748 | + | 21.2311i | 0.380244 | + | 1.04471i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 27.1502 | − | 32.3563i | 1.33275 | − | 1.58831i | ||||
\(416\) | −21.4967 | + | 16.6531i | −1.05396 | + | 0.816486i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.04830 | − | 5.32662i | 0.198009 | − | 0.260534i | ||||
\(419\) | 36.1039 | 1.76379 | 0.881895 | − | 0.471446i | \(-0.156268\pi\) | ||||
0.881895 | + | 0.471446i | \(0.156268\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.764455 | − | 0.641454i | −0.0372572 | − | 0.0312625i | 0.623969 | − | 0.781449i | \(-0.285519\pi\) |
−0.661226 | + | 0.750187i | \(0.729964\pi\) | |||||||
\(422\) | −1.41097 | + | 0.674598i | −0.0686851 | + | 0.0328389i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −20.7582 | − | 1.21197i | −1.00811 | − | 0.0588587i | ||||
\(425\) | −8.48075 | + | 4.89636i | −0.411377 | + | 0.237509i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 26.7913 | − | 4.72403i | 1.29652 | − | 0.228612i | ||||
\(428\) | 2.56915 | − | 0.504313i | 0.124185 | − | 0.0243769i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.87985 | − | 7.29662i | 0.0906546 | − | 0.351874i | ||||
\(431\) | −11.1628 | + | 9.36669i | −0.537693 | + | 0.451178i | −0.870748 | − | 0.491730i | \(-0.836365\pi\) |
0.333055 | + | 0.942907i | \(0.391920\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.7534 | − | 4.64187i | −0.612891 | − | 0.223074i | 0.0168766 | − | 0.999858i | \(-0.494628\pi\) |
−0.629768 | + | 0.776783i | \(0.716850\pi\) | |||||||
\(434\) | 2.59347 | + | 26.6763i | 0.124491 | + | 1.28050i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.402369 | + | 20.8474i | 0.0192700 | + | 0.998409i | ||||
\(437\) | 0.254772 | + | 0.495480i | 0.0121874 | + | 0.0237020i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.4661 | − | 2.02178i | −0.547246 | − | 0.0964943i | −0.106812 | − | 0.994279i | \(-0.534064\pi\) |
−0.440434 | + | 0.897785i | \(0.645175\pi\) | |||||||
\(440\) | −1.05744 | − | 9.05809i | −0.0504115 | − | 0.431827i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.20198 | − | 15.8420i | 0.342563 | − | 0.753528i | ||||
\(443\) | −14.0139 | + | 11.7591i | −0.665822 | + | 0.558691i | −0.911825 | − | 0.410578i | \(-0.865327\pi\) |
0.246004 | + | 0.969269i | \(0.420882\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.91303 | + | 5.04552i | −0.138091 | + | 0.239181i | ||||
\(446\) | 2.15194 | + | 1.47607i | 0.101897 | + | 0.0698937i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −7.51943 | + | 14.9619i | −0.355260 | + | 0.706882i | ||||
\(449\) | −6.85425 | + | 3.95730i | −0.323472 | + | 0.186757i | −0.652939 | − | 0.757410i | \(-0.726464\pi\) |
0.329467 | + | 0.944167i | \(0.393131\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.65775 | − | 4.55464i | −0.0780606 | − | 0.214470i | ||||
\(452\) | 8.98493 | + | 3.07523i | 0.422616 | + | 0.144647i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 26.0337 | − | 18.6059i | 1.22182 | − | 0.873218i | ||||
\(455\) | −29.8912 | −1.40132 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −7.99070 | −0.373789 | −0.186895 | − | 0.982380i | \(-0.559842\pi\) | ||||
−0.186895 | + | 0.982380i | \(0.559842\pi\) | |||||||
\(458\) | −16.1165 | + | 11.5183i | −0.753076 | + | 0.538213i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.718515 | + | 0.245923i | 0.0335009 | + | 0.0114662i | ||||
\(461\) | −6.79474 | − | 18.6684i | −0.316463 | − | 0.869474i | −0.991314 | − | 0.131520i | \(-0.958014\pi\) |
0.674851 | − | 0.737954i | \(-0.264208\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.1194 | − | 12.1933i | 0.981501 | − | 0.566670i | 0.0787784 | − | 0.996892i | \(-0.474898\pi\) |
0.902723 | + | 0.430222i | \(0.141565\pi\) | |||||||
\(464\) | 10.9770 | + | 5.78474i | 0.509596 | + | 0.268550i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.0614 | − | 8.27318i | −0.558732 | − | 0.383248i | ||||
\(467\) | 4.85370 | − | 8.40686i | 0.224603 | − | 0.389023i | −0.731598 | − | 0.681737i | \(-0.761225\pi\) |
0.956200 | + | 0.292714i | \(0.0945583\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −20.0490 | + | 16.8231i | −0.925779 | + | 0.776821i | ||||
\(470\) | 1.32438 | − | 2.91320i | 0.0610889 | − | 0.134376i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −30.3245 | + | 3.54008i | −1.39580 | + | 0.162945i | ||||
\(473\) | −1.91692 | − | 0.338005i | −0.0881402 | − | 0.0155415i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −16.6552 | − | 0.811121i | −0.764195 | − | 0.0372168i | ||||
\(476\) | −0.206793 | − | 10.7143i | −0.00947833 | − | 0.491088i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.71471 | − | 17.6374i | −0.0784292 | − | 0.806718i | ||||
\(479\) | −39.8198 | − | 14.4932i | −1.81941 | − | 0.662212i | −0.995418 | − | 0.0956155i | \(-0.969518\pi\) |
−0.823995 | − | 0.566597i | \(-0.808260\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 21.8896 | − | 18.3675i | 0.998079 | − | 0.837488i | ||||
\(482\) | 1.51056 | − | 5.86322i | 0.0688042 | − | 0.267062i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 19.2763 | − | 3.78385i | 0.876194 | − | 0.171993i | ||||
\(485\) | 15.8429 | − | 2.79353i | 0.719390 | − | 0.126848i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.80518 | + | 5.66102i | −0.444315 | + | 0.256525i | −0.705426 | − | 0.708783i | \(-0.749244\pi\) |
0.261111 | + | 0.965309i | \(0.415911\pi\) | |||||||
\(488\) | −2.14266 | + | 36.6986i | −0.0969936 | + | 1.66127i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 9.92607 | − | 4.74574i | 0.448414 | − | 0.214390i | ||||
\(491\) | 29.3285 | + | 24.6095i | 1.32358 | + | 1.11061i | 0.985534 | + | 0.169481i | \(0.0542090\pi\) |
0.338042 | + | 0.941131i | \(0.390235\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.94067 | −0.357630 | ||||||||
\(494\) | 24.9179 | − | 16.0368i | 1.12111 | − | 0.721529i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −35.8830 | − | 4.90808i | −1.61120 | − | 0.220379i | ||||
\(497\) | −1.88414 | + | 2.24543i | −0.0845154 | + | 0.100721i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8.46244 | − | 23.2504i | −0.378831 | − | 1.04083i | −0.971842 | − | 0.235635i | \(-0.924283\pi\) |
0.593011 | − | 0.805195i | \(-0.297939\pi\) | |||||||
\(500\) | 5.25816 | − | 4.58791i | 0.235152 | − | 0.205177i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −18.0069 | + | 5.01166i | −0.803689 | + | 0.223681i | ||||
\(503\) | 1.46718 | + | 8.32079i | 0.0654183 | + | 0.371006i | 0.999888 | + | 0.0149630i | \(0.00476306\pi\) |
−0.934470 | + | 0.356042i | \(0.884126\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 21.6075 | − | 37.4254i | 0.961523 | − | 1.66541i | ||||
\(506\) | 0.0489457 | − | 0.189982i | 0.00217590 | − | 0.00844572i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.31037 | + | 3.20766i | −0.368713 | + | 0.142317i | ||||
\(509\) | 4.15398 | − | 11.4130i | 0.184122 | − | 0.505871i | −0.812950 | − | 0.582333i | \(-0.802140\pi\) |
0.997073 | + | 0.0764616i | \(0.0243623\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 14.8052 | + | 2.61055i | 0.654942 | + | 0.115484i | ||||
\(512\) | −17.3274 | − | 14.5520i | −0.765772 | − | 0.643113i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −21.3754 | + | 21.7920i | −0.942829 | + | 0.961202i | ||||
\(515\) | −9.11583 | + | 51.6984i | −0.401691 | + | 2.27810i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.776832 | − | 0.282744i | −0.0341650 | − | 0.0124351i | ||||
\(518\) | 7.28230 | − | 16.0187i | 0.319966 | − | 0.703821i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 9.32048 | − | 39.3014i | 0.408730 | − | 1.72348i | ||||
\(521\) | −0.230828 | − | 0.133269i | −0.0101128 | − | 0.00583861i | 0.494935 | − | 0.868930i | \(-0.335192\pi\) |
−0.505048 | + | 0.863091i | \(0.668525\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.5485 | − | 2.03631i | 0.504979 | − | 0.0890414i | 0.0846455 | − | 0.996411i | \(-0.473024\pi\) |
0.420333 | + | 0.907370i | \(0.361913\pi\) | |||||||
\(524\) | −19.4589 | − | 10.7394i | −0.850068 | − | 0.469152i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 11.0060 | + | 0.855972i | 0.479882 | + | 0.0373222i | ||||
\(527\) | 21.7799 | − | 7.92722i | 0.948745 | − | 0.345315i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.6065 | − | 14.7736i | −0.765500 | − | 0.642331i | ||||
\(530\) | 25.1286 | − | 17.9591i | 1.09152 | − | 0.780093i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 9.58383 | − | 15.5282i | 0.415512 | − | 0.673232i | ||||
\(533\) | − | 21.4675i | − | 0.929863i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.49981 | + | 2.97916i | −0.108076 | + | 0.128800i | ||||
\(536\) | −15.8678 | − | 31.6065i | −0.685383 | − | 1.36519i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.669288 | + | 8.60560i | −0.0288551 | + | 0.371014i | ||||
\(539\) | −1.42111 | − | 2.46143i | −0.0612114 | − | 0.106021i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.64218 | + | 9.31328i | 0.0706029 | + | 0.400409i | 0.999544 | + | 0.0301825i | \(0.00960885\pi\) |
−0.928941 | + | 0.370227i | \(0.879280\pi\) | |||||||
\(542\) | 21.3320 | + | 14.6321i | 0.916286 | + | 0.628502i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 14.1518 | + | 3.06896i | 0.606752 | + | 0.131581i | ||||
\(545\) | −19.9086 | − | 23.7261i | −0.852789 | − | 1.01631i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.65565 | − | 12.7913i | 0.199061 | − | 0.546916i | −0.799493 | − | 0.600676i | \(-0.794898\pi\) |
0.998554 | + | 0.0537596i | \(0.0171205\pi\) | |||||||
\(548\) | −18.7042 | − | 15.0893i | −0.799004 | − | 0.644583i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 4.19180 | + | 4.11167i | 0.178739 | + | 0.175322i | ||||
\(551\) | −11.3671 | − | 7.32225i | −0.484254 | − | 0.311938i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.46965 | − | 31.0199i | 0.232593 | − | 1.31910i | ||||
\(554\) | 1.02777 | + | 10.5716i | 0.0436659 | + | 0.449145i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 11.5833 | − | 4.47094i | 0.491240 | − | 0.189610i | ||||
\(557\) | 7.31163 | + | 8.71366i | 0.309804 | + | 0.369210i | 0.898370 | − | 0.439239i | \(-0.144752\pi\) |
−0.588566 | + | 0.808449i | \(0.700307\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.46617 | − | 4.31060i | −0.315785 | − | 0.182319i | ||||
\(560\) | −5.26113 | − | 24.3102i | −0.222323 | − | 1.02729i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.224046 | + | 0.805001i | 0.00945083 | + | 0.0339569i | ||||
\(563\) | −11.8828 | − | 20.5817i | −0.500801 | − | 0.867414i | −1.00000 | 0.000925727i | \(-0.999705\pi\) | |
0.499198 | − | 0.866488i | \(-0.333628\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −13.2555 | + | 4.82460i | −0.557662 | + | 0.202972i | ||||
\(566\) | 38.5530 | − | 18.4325i | 1.62050 | − | 0.774775i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.36483 | − | 3.17746i | −0.0992261 | − | 0.133323i | ||||
\(569\) | − | 19.2331i | − | 0.806296i | −0.915135 | − | 0.403148i | \(-0.867916\pi\) | ||
0.915135 | − | 0.403148i | \(-0.132084\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.2556i | 0.805823i | 0.915239 | + | 0.402912i | \(0.132002\pi\) | ||||
−0.915239 | + | 0.402912i | \(0.867998\pi\) | |||||||
\(572\) | −10.3089 | − | 1.61328i | −0.431037 | − | 0.0674546i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.70222 | − | 11.9266i | −0.238006 | − | 0.497808i | ||||
\(575\) | −0.459478 | + | 0.167236i | −0.0191616 | + | 0.00697424i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.8234 | + | 30.8710i | 0.741998 | + | 1.28518i | 0.951584 | + | 0.307388i | \(0.0994550\pi\) |
−0.209586 | + | 0.977790i | \(0.567212\pi\) | |||||||
\(578\) | 14.2335 | − | 3.96145i | 0.592036 | − | 0.164774i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −18.0856 | + | 3.55012i | −0.750962 | + | 0.147411i | ||||
\(581\) | −25.7730 | − | 14.8800i | −1.06924 | − | 0.617328i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.12877 | − | 6.11223i | −0.212412 | − | 0.253143i | ||||
\(584\) | −8.04884 | + | 18.6521i | −0.333064 | + | 0.771828i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.375394 | + | 0.0364959i | −0.0155074 | + | 0.00150763i | ||||
\(587\) | −5.32464 | + | 30.1975i | −0.219771 | + | 1.24639i | 0.652661 | + | 0.757650i | \(0.273653\pi\) |
−0.872432 | + | 0.488735i | \(0.837458\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 38.4877 | + | 8.73582i | 1.58586 | + | 0.359953i | ||||
\(590\) | 31.7560 | − | 32.3748i | 1.30737 | − | 1.33285i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 18.7909 | + | 14.5697i | 0.772301 | + | 0.598812i | ||||
\(593\) | 1.77307 | − | 4.87147i | 0.0728113 | − | 0.200047i | −0.897948 | − | 0.440101i | \(-0.854943\pi\) |
0.970760 | + | 0.240053i | \(0.0771650\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.2318 | + | 12.1938i | 0.419462 | + | 0.499895i | ||||
\(596\) | −20.8330 | − | 34.5274i | −0.853351 | − | 1.41430i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.491502 | − | 0.716556i | 0.0200990 | − | 0.0293021i | ||||
\(599\) | 6.51219 | + | 36.9325i | 0.266081 | + | 1.50902i | 0.765940 | + | 0.642912i | \(0.222274\pi\) |
−0.499859 | + | 0.866107i | \(0.666615\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.3096 | + | 24.7849i | 0.583699 | + | 1.01100i | 0.995036 | + | 0.0995133i | \(0.0317286\pi\) |
−0.411337 | + | 0.911483i | \(0.634938\pi\) | |||||||
\(602\) | −5.29293 | − | 0.411650i | −0.215724 | − | 0.0167776i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −37.7899 | − | 12.9342i | −1.53765 | − | 0.526283i | ||||
\(605\) | −18.7560 | + | 22.3525i | −0.762539 | + | 0.908759i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.06680i | 0.246244i | 0.992392 | + | 0.123122i | \(0.0392906\pi\) | ||||
−0.992392 | + | 0.123122i | \(0.960709\pi\) | |||||||
\(608\) | 17.4283 | + | 17.4429i | 0.706812 | + | 0.707401i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −31.7500 | − | 44.4251i | −1.28552 | − | 1.79872i | ||||
\(611\) | −2.80485 | − | 2.35355i | −0.113472 | − | 0.0952143i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.26745 | − | 1.91720i | 0.212750 | − | 0.0774348i | −0.233446 | − | 0.972370i | \(-0.575000\pi\) |
0.446197 | + | 0.894935i | \(0.352778\pi\) | |||||||
\(614\) | 1.00759 | − | 12.9555i | 0.0406631 | − | 0.522840i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.15579 | + | 1.84197i | −0.248024 | + | 0.0742153i | ||||
\(617\) | −43.6181 | + | 7.69104i | −1.75600 | + | 0.309630i | −0.956650 | − | 0.291240i | \(-0.905932\pi\) |
−0.799347 | + | 0.600870i | \(0.794821\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 31.3295 | + | 18.0881i | 1.25924 | + | 0.727021i | 0.972926 | − | 0.231116i | \(-0.0742376\pi\) |
0.286311 | + | 0.958137i | \(0.407571\pi\) | |||||||
\(620\) | 46.0614 | − | 27.7923i | 1.84987 | − | 1.11616i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 36.4751 | + | 16.5821i | 1.46252 | + | 0.664880i | ||||
\(623\) | 3.85736 | + | 1.40396i | 0.154542 | + | 0.0562486i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.12141 | + | 29.0450i | −0.204857 | + | 1.16180i | ||||
\(626\) | 0.556121 | + | 0.545491i | 0.0222271 | + | 0.0218022i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.0638002 | − | 3.30559i | −0.00254590 | − | 0.131908i | ||||
\(629\) | −14.9856 | − | 2.64237i | −0.597516 | − | 0.105358i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.47003 | + | 15.0288i | −0.217759 | + | 0.598287i | −0.999685 | − | 0.0250835i | \(-0.992015\pi\) |
0.781927 | + | 0.623370i | \(0.214237\pi\) | |||||||
\(632\) | 39.0800 | + | 16.8640i | 1.55452 | + | 0.670814i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 29.0814 | + | 7.49233i | 1.15497 | + | 0.297559i | ||||
\(635\) | 6.61587 | − | 11.4590i | 0.262543 | − | 0.454738i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.18595 | − | 12.3972i | −0.0866106 | − | 0.491193i | ||||
\(638\) | 1.27661 | + | 4.58688i | 0.0505416 | + | 0.181596i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 33.6039 | + | 0.662840i | 1.32831 | + | 0.0262010i | ||||
\(641\) | −11.2995 | − | 31.0452i | −0.446305 | − | 1.22621i | −0.935278 | − | 0.353913i | \(-0.884851\pi\) |
0.488973 | − | 0.872299i | \(-0.337371\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.50486 | − | 4.17693i | 0.138218 | − | 0.164722i | −0.692495 | − | 0.721423i | \(-0.743489\pi\) |
0.830713 | + | 0.556701i | \(0.187933\pi\) | |||||||
\(644\) | 0.0827299 | − | 0.528647i | 0.00326001 | − | 0.0208316i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −15.0714 | − | 4.67555i | −0.592977 | − | 0.183957i | ||||
\(647\) | 19.1554 | 0.753077 | 0.376539 | − | 0.926401i | \(-0.377114\pi\) | ||||
0.376539 | + | 0.926401i | \(0.377114\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.97434 | − | 7.53037i | −0.352274 | − | 0.295593i | ||||
\(650\) | 11.2177 | + | 23.4626i | 0.439993 | + | 0.920278i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.17261 | − | 4.51326i | 0.202575 | − | 0.176753i | ||||
\(653\) | 5.24416 | − | 3.02772i | 0.205220 | − | 0.118484i | −0.393868 | − | 0.919167i | \(-0.628863\pi\) |
0.599088 | + | 0.800683i | \(0.295530\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 32.5123 | − | 5.73280i | 1.27036 | − | 0.223999i | ||||
\(656\) | 17.4593 | − | 3.77849i | 0.681673 | − | 0.147525i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.18343 | − | 0.562524i | −0.0851188 | − | 0.0219295i | ||||
\(659\) | −1.51903 | + | 1.27461i | −0.0591728 | + | 0.0496519i | −0.671894 | − | 0.740647i | \(-0.734519\pi\) |
0.612722 | + | 0.790299i | \(0.290075\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 35.8153 | + | 13.0357i | 1.39305 | + | 0.507030i | 0.926109 | − | 0.377257i | \(-0.123133\pi\) |
0.466945 | + | 0.884287i | \(0.345355\pi\) | |||||||
\(662\) | −32.1470 | + | 3.12534i | −1.24943 | + | 0.121470i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 27.6009 | − | 29.2469i | 1.07112 | − | 1.13500i | ||||
\(665\) | 3.40269 | + | 26.8903i | 0.131951 | + | 1.04276i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.390467 | − | 0.0688499i | −0.0151189 | − | 0.00266588i | ||||
\(668\) | −15.8698 | + | 19.6717i | −0.614022 | + | 0.761122i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 47.8224 | + | 21.7407i | 1.84754 | + | 0.839915i | ||||
\(671\) | −10.8059 | + | 9.06719i | −0.417155 | + | 0.350035i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.2501 | + | 22.9498i | −0.510754 | + | 0.884651i | 0.489169 | + | 0.872189i | \(0.337300\pi\) |
−0.999922 | + | 0.0124622i | \(0.996033\pi\) | |||||||
\(674\) | 8.22715 | − | 11.9943i | 0.316898 | − | 0.462002i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −17.6983 | − | 9.76767i | −0.680702 | − | 0.375679i | ||||
\(677\) | −13.4208 | + | 7.74853i | −0.515805 | + | 0.297800i | −0.735217 | − | 0.677832i | \(-0.762920\pi\) |
0.219412 | + | 0.975632i | \(0.429586\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.87672 | − | 10.6512i | −0.148775 | − | 0.408756i | ||||
\(680\) | −19.2229 | + | 9.65072i | −0.737166 | + | 0.370088i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.08063 | − | 11.3066i | −0.309423 | − | 0.432950i | ||||
\(683\) | 50.5423 | 1.93395 | 0.966973 | − | 0.254878i | \(-0.0820355\pi\) | ||||
0.966973 | + | 0.254878i | \(0.0820355\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 35.6968 | 1.36390 | ||||||||
\(686\) | −16.5557 | − | 23.1650i | −0.632100 | − | 0.884444i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.19165 | − | 6.83087i | 0.0835558 | − | 0.260424i | ||||
\(689\) | −12.0868 | − | 33.2082i | −0.460470 | − | 1.26513i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.346548 | − | 0.200079i | 0.0131833 | − | 0.00761138i | −0.493394 | − | 0.869806i | \(-0.664244\pi\) |
0.506577 | + | 0.862195i | \(0.330911\pi\) | |||||||
\(692\) | 20.9419 | − | 37.9452i | 0.796093 | − | 1.44246i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −15.4953 | + | 22.5904i | −0.588192 | + | 0.857518i | ||||
\(695\) | −9.22142 | + | 15.9720i | −0.349788 | + | 0.605851i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.75742 | + | 7.34835i | −0.331711 | + | 0.278339i | ||||
\(698\) | 39.6248 | + | 18.0139i | 1.49982 | + | 0.681838i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 12.4643 | + | 10.0554i | 0.471106 | + | 0.380057i | ||||
\(701\) | −18.5285 | − | 3.26708i | −0.699813 | − | 0.123396i | −0.187589 | − | 0.982248i | \(-0.560067\pi\) |
−0.512224 | + | 0.858852i | \(0.671178\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −19.0154 | − | 17.6011i | −0.717178 | − | 0.663838i | ||||
\(704\) | −0.502398 | − | 8.66808i | −0.0189349 | − | 0.326691i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −47.4568 | + | 4.61376i | −1.78606 | + | 0.173641i | ||||
\(707\) | −28.6121 | − | 10.4140i | −1.07607 | − | 0.391657i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.4338 | + | 10.4332i | −0.466962 | + | 0.391827i | −0.845685 | − | 0.533683i | \(-0.820808\pi\) |
0.378723 | + | 0.925510i | \(0.376363\pi\) | |||||||
\(710\) | 5.69741 | + | 1.46784i | 0.213820 | + | 0.0550872i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.04873 | + | 4.63394i | −0.114256 | + | 0.173664i | ||||
\(713\) | 1.13972 | − | 0.200963i | 0.0426827 | − | 0.00752611i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 13.4226 | − | 7.74955i | 0.501977 | − | 0.289817i | ||||
\(716\) | −31.3997 | − | 35.9869i | −1.17346 | − | 1.34489i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 21.9516 | + | 45.9134i | 0.819226 | + | 1.71347i | ||||
\(719\) | −24.4195 | − | 20.4904i | −0.910692 | − | 0.764161i | 0.0615586 | − | 0.998103i | \(-0.480393\pi\) |
−0.972250 | + | 0.233942i | \(0.924837\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 36.9875 | 1.37749 | ||||||||
\(722\) | −17.2633 | − | 20.5907i | −0.642474 | − | 0.766307i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −46.5769 | − | 7.28900i | −1.73102 | − | 0.270893i | ||||
\(725\) | 7.62778 | − | 9.09043i | 0.283289 | − | 0.337610i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.34850 | + | 9.19992i | 0.124189 | + | 0.341206i | 0.986171 | − | 0.165733i | \(-0.0529991\pi\) |
−0.861982 | + | 0.506939i | \(0.830777\pi\) | |||||||
\(728\) | −28.4106 | − | 1.65876i | −1.05297 | − | 0.0614777i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −8.09076 | − | 29.0702i | −0.299452 | − | 1.07593i | ||||
\(731\) | 0.797219 | + | 4.52125i | 0.0294862 | + | 0.167225i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −21.6009 | + | 37.4139i | −0.797848 | + | 1.38191i | 0.123167 | + | 0.992386i | \(0.460695\pi\) |
−0.921015 | + | 0.389527i | \(0.872639\pi\) | |||||||
\(734\) | −16.3226 | − | 4.20526i | −0.602479 | − | 0.155219i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.669276 | + | 0.273614i | 0.0246699 | + | 0.0100855i | ||||
\(737\) | 4.64145 | − | 12.7523i | 0.170970 | − | 0.469737i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.80551 | + | 1.55265i | 0.323916 | + | 0.0571151i | 0.333242 | − | 0.942841i | \(-0.391857\pi\) |
−0.00932596 | + | 0.999957i | \(0.502969\pi\) | |||||||
\(740\) | −35.3124 | + | 0.681553i | −1.29811 | + | 0.0250544i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −15.5358 | − | 15.2388i | −0.570337 | − | 0.559435i | ||||
\(743\) | −6.18773 | + | 35.0924i | −0.227006 | + | 1.28741i | 0.631808 | + | 0.775125i | \(0.282313\pi\) |
−0.858814 | + | 0.512288i | \(0.828798\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 56.2868 | + | 20.4867i | 2.06219 | + | 0.750575i | ||||
\(746\) | −30.5403 | − | 13.8840i | −1.11816 | − | 0.508330i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.87062 | + | 4.75762i | 0.104960 | + | 0.173956i | ||||
\(749\) | 2.37301 | + | 1.37006i | 0.0867078 | + | 0.0500608i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 31.2808 | − | 5.51564i | 1.14145 | − | 0.201269i | 0.429211 | − | 0.903204i | \(-0.358792\pi\) |
0.712241 | + | 0.701935i | \(0.247681\pi\) | |||||||
\(752\) | 1.42044 | − | 2.69540i | 0.0517980 | − | 0.0982911i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.63514 | + | 21.0244i | −0.0595483 | + | 0.765662i | ||||
\(755\) | 55.7514 | − | 20.2918i | 2.02900 | − | 0.738496i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −19.8401 | − | 16.6479i | −0.721102 | − | 0.605077i | 0.206588 | − | 0.978428i | \(-0.433764\pi\) |
−0.927690 | + | 0.373351i | \(0.878209\pi\) | |||||||
\(758\) | 14.6330 | + | 20.4747i | 0.531495 | + | 0.743676i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −36.4168 | − | 3.91084i | −1.32098 | − | 0.141861i | ||||
\(761\) | 12.2247i | 0.443144i | 0.975144 | + | 0.221572i | \(0.0711188\pi\) | ||||
−0.975144 | + | 0.221572i | \(0.928881\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −14.0271 | + | 16.7169i | −0.507816 | + | 0.605192i | ||||
\(764\) | 5.61316 | − | 16.4000i | 0.203077 | − | 0.593332i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 33.4849 | + | 2.60424i | 1.20986 | + | 0.0940949i | ||||
\(767\) | −25.9438 | − | 44.9359i | −0.936775 | − | 1.62254i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.37098 | − | 41.8029i | −0.265804 | − | 1.50745i | −0.766735 | − | 0.641964i | \(-0.778120\pi\) |
0.500930 | − | 0.865488i | \(-0.332991\pi\) | |||||||
\(770\) | 5.39870 | − | 7.87070i | 0.194556 | − | 0.283640i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 21.6813 | − | 13.0820i | 0.780328 | − | 0.470830i | ||||
\(773\) | 20.4984 | + | 24.4290i | 0.737275 | + | 0.878650i | 0.996186 | − | 0.0872509i | \(-0.0278082\pi\) |
−0.258911 | + | 0.965901i | \(0.583364\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −11.8466 | + | 32.5483i | −0.425543 | + | 1.16917i | ||||
\(776\) | 15.2132 | − | 1.77598i | 0.546121 | − | 0.0637541i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −25.0082 | + | 25.4956i | −0.896589 | + | 0.914060i | ||||
\(779\) | −19.3123 | + | 2.44378i | −0.691936 | + | 0.0875574i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.263924 | − | 1.49679i | 0.00944395 | − | 0.0535593i | ||||
\(782\) | −0.460551 | + | 0.0447749i | −0.0164693 | + | 0.00160115i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 9.69774 | − | 3.95983i | 0.346348 | − | 0.141422i | ||||
\(785\) | 3.15673 | + | 3.76205i | 0.112669 | + | 0.134273i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.28508 | + | 2.47399i | 0.152747 | + | 0.0881884i | 0.574425 | − | 0.818557i | \(-0.305226\pi\) |
−0.421679 | + | 0.906745i | \(0.638559\pi\) | |||||||
\(788\) | 2.55875 | + | 13.0352i | 0.0911519 | + | 0.464360i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −60.9081 | + | 16.9518i | −2.16701 | + | 0.603119i | ||||
\(791\) | 4.96945 | + | 8.60734i | 0.176693 | + | 0.306042i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −58.7090 | + | 21.3683i | −2.08482 | + | 0.758812i | ||||
\(794\) | −1.16723 | − | 2.44134i | −0.0414233 | − | 0.0866399i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.29972 | − | 14.6953i | 0.0815114 | − | 0.520861i | ||||
\(797\) | − | 45.2115i | − | 1.60147i | −0.599016 | − | 0.800737i | \(-0.704441\pi\) | ||
0.599016 | − | 0.800737i | \(-0.295559\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.94982i | 0.0689798i | ||||||||
\(800\) | −17.1075 | + | 13.2528i | −0.604840 | + | 0.468558i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −7.34476 | + | 3.51159i | −0.259353 | + | 0.123999i | ||||
\(803\) | −7.32505 | + | 2.66610i | −0.258495 | + | 0.0940846i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.397401 | + | 0.688319i | 0.0140066 | + | 0.0242601i | ||||
\(806\) | −16.5038 | − | 59.2985i | −0.581323 | − | 2.08870i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 22.6141 | − | 34.3724i | 0.795561 | − | 1.20922i | ||||
\(809\) | 18.9572 | + | 10.9449i | 0.666500 | + | 0.384804i | 0.794749 | − | 0.606938i | \(-0.207602\pi\) |
−0.128249 | + | 0.991742i | \(0.540936\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −10.9577 | − | 13.0589i | −0.384776 | − | 0.458558i | 0.538540 | − | 0.842600i | \(-0.318976\pi\) |
−0.923316 | + | 0.384042i | \(0.874532\pi\) | |||||||
\(812\) | 4.67607 | + | 12.1147i | 0.164098 | + | 0.425144i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.882873 | + | 9.08117i | 0.0309447 | + | 0.318295i | ||||
\(815\) | −1.77067 | + | 10.0420i | −0.0620238 | + | 0.351755i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.02792 | + | 7.20731i | −0.105933 | + | 0.252152i | ||||
\(818\) | −12.3294 | − | 12.0938i | −0.431088 | − | 0.422848i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −16.6605 | + | 20.6518i | −0.581809 | + | 0.721191i | ||||
\(821\) | −12.8634 | + | 35.3419i | −0.448936 | + | 1.23344i | 0.484530 | + | 0.874775i | \(0.338991\pi\) |
−0.933466 | + | 0.358667i | \(0.883231\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −26.1314 | − | 31.1422i | −0.910882 | − | 1.08555i | −0.996016 | − | 0.0891776i | \(-0.971576\pi\) |
0.0851335 | − | 0.996370i | \(-0.472868\pi\) | |||||||
\(824\) | −11.5332 | + | 48.6317i | −0.401778 | + | 1.69417i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −26.3494 | − | 18.0736i | −0.916811 | − | 0.628862i | ||||
\(827\) | −4.23173 | − | 23.9993i | −0.147152 | − | 0.834538i | −0.965614 | − | 0.259979i | \(-0.916284\pi\) |
0.818463 | − | 0.574560i | \(-0.194827\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.73771 | − | 4.74186i | −0.0950848 | − | 0.164692i | 0.814559 | − | 0.580080i | \(-0.196979\pi\) |
−0.909644 | + | 0.415389i | \(0.863646\pi\) | |||||||
\(830\) | −4.63173 | + | 59.5540i | −0.160770 | + | 2.06715i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 11.0398 | − | 36.8374i | 0.382735 | − | 1.27711i | ||||
\(833\) | −4.30902 | + | 5.13529i | −0.149299 | + | 0.177927i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 37.5432i | − | 1.29924i | ||||||
\(836\) | −0.277792 | + | 9.45760i | −0.00960763 | + | 0.327098i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −41.5402 | + | 29.6882i | −1.43498 | + | 1.02556i | ||||
\(839\) | 30.5753 | + | 25.6557i | 1.05558 | + | 0.885734i | 0.993669 | − | 0.112348i | \(-0.0358372\pi\) |
0.0619073 | + | 0.998082i | \(0.480282\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −18.2090 | + | 6.62752i | −0.627896 | + | 0.228535i | ||||
\(842\) | 1.40703 | + | 0.109430i | 0.0484894 | + | 0.00377120i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.06871 | − | 1.93642i | 0.0367865 | − | 0.0666543i | ||||
\(845\) | 29.5706 | − | 5.21409i | 1.01726 | − | 0.179370i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 17.8046 | + | 10.2795i | 0.611773 | + | 0.353207i | ||||
\(848\) | 24.8805 | − | 15.6750i | 0.854400 | − | 0.538282i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 5.73146 | − | 12.6074i | 0.196588 | − | 0.432429i | ||||
\(851\) | −0.713978 | − | 0.259867i | −0.0244749 | − | 0.00890812i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.00712 | + | 45.4107i | −0.274159 | + | 1.55483i | 0.467463 | + | 0.884013i | \(0.345168\pi\) |
−0.741622 | + | 0.670819i | \(0.765943\pi\) | |||||||
\(854\) | −26.9408 | + | 27.4658i | −0.921897 | + | 0.939862i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.54131 | + | 2.69286i | −0.0868600 | + | 0.0920402i | ||||
\(857\) | −9.36086 | − | 1.65057i | −0.319761 | − | 0.0563825i | 0.0114640 | − | 0.999934i | \(-0.496351\pi\) |
−0.331225 | + | 0.943552i | \(0.607462\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.1315 | + | 30.5835i | −0.379801 | + | 1.04349i | 0.591638 | + | 0.806204i | \(0.298482\pi\) |
−0.971439 | + | 0.237291i | \(0.923741\pi\) | |||||||
\(860\) | 3.83709 | + | 9.94111i | 0.130844 | + | 0.338989i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.14140 | − | 19.9562i | 0.175117 | − | 0.679712i | ||||
\(863\) | 0.226430 | − | 0.392188i | 0.00770775 | − | 0.0133502i | −0.862146 | − | 0.506660i | \(-0.830880\pi\) |
0.869854 | + | 0.493310i | \(0.164213\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 11.1790 | + | 63.3994i | 0.380098 | + | 2.15565i | ||||
\(866\) | 18.4908 | − | 5.14633i | 0.628343 | − | 0.174879i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −24.9199 | − | 28.5604i | −0.845835 | − | 0.969404i | ||||
\(869\) | 5.58604 | + | 15.3475i | 0.189493 | + | 0.520629i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 38.6353 | − | 46.0437i | 1.30911 | − | 1.56013i | ||||
\(872\) | −17.6058 | − | 23.6556i | −0.596206 | − | 0.801081i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.700568 | − | 0.360588i | −0.0236971 | − | 0.0121971i | ||||
\(875\) | 7.30332 | 0.246897 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −33.0696 | − | 27.7487i | −1.11668 | − | 0.937006i | −0.118248 | − | 0.992984i | \(-0.537728\pi\) |
−0.998432 | + | 0.0559779i | \(0.982172\pi\) | |||||||
\(878\) | 14.8551 | − | 7.10235i | 0.501335 | − | 0.239693i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 8.66513 | + | 9.55248i | 0.292101 | + | 0.322014i | ||||
\(881\) | −33.0898 | + | 19.1044i | −1.11482 | + | 0.643644i | −0.940074 | − | 0.340969i | \(-0.889245\pi\) |
−0.174749 | + | 0.984613i | \(0.555911\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.1480 | − | 2.67100i | 0.509771 | − | 0.0898864i | 0.0871541 | − | 0.996195i | \(-0.472223\pi\) |
0.422617 | + | 0.906308i | \(0.361112\pi\) | |||||||
\(884\) | 4.74047 | + | 24.1496i | 0.159439 | + | 0.812240i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 6.45459 | − | 25.0534i | 0.216846 | − | 0.841684i | ||||
\(887\) | 0.283209 | − | 0.237641i | 0.00950923 | − | 0.00797919i | −0.638021 | − | 0.770019i | \(-0.720247\pi\) |
0.647530 | + | 0.762040i | \(0.275802\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −8.76056 | − | 3.18858i | −0.293820 | − | 0.106942i | ||||
\(890\) | −0.797267 | − | 8.20064i | −0.0267245 | − | 0.274886i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.68974 | + | 0.0712144i | −0.123541 | + | 0.00238443i | ||||
\(893\) | −1.79797 | + | 2.79117i | −0.0601668 | + | 0.0934031i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 69.8641 | + | 12.3189i | 2.33530 | + | 0.411776i | ||||
\(896\) | −3.65147 | − | 23.3980i | −0.121987 | − | 0.781672i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.63224 | − | 10.1894i | 0.154580 | − | 0.340026i | ||||
\(899\) | −21.5154 | + | 18.0536i | −0.717580 | + | 0.602121i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −9.40956 | + | 16.2978i | −0.313478 | + | 0.542960i | ||||
\(902\) | 5.65265 | + | 3.87729i | 0.188213 | + | 0.129100i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −12.8666 | + | 3.85003i | −0.427937 | + | 0.128050i | ||||
\(905\) | 60.6450 | − | 35.0134i | 2.01591 | − | 1.16389i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.22211 | + | 6.10518i | 0.0737838 | + | 0.202719i | 0.971102 | − | 0.238665i | \(-0.0767098\pi\) |
−0.897318 | + | 0.441384i | \(0.854488\pi\) | |||||||
\(908\) | −14.6541 | + | 42.8150i | −0.486312 | + | 1.42086i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 34.3921 | − | 24.5795i | 1.14009 | − | 0.814804i | ||||
\(911\) | 22.7159 | 0.752613 | 0.376306 | − | 0.926495i | \(-0.377194\pi\) | ||||
0.376306 | + | 0.926495i | \(0.377194\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 15.4311 | 0.510695 | ||||||||
\(914\) | 9.19390 | − | 6.57075i | 0.304107 | − | 0.217341i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 9.07182 | − | 26.5052i | 0.299741 | − | 0.875758i | ||||
\(917\) | −7.95568 | − | 21.8580i | −0.262720 | − | 0.721816i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −28.2999 | + | 16.3390i | −0.933528 | + | 0.538973i | −0.887926 | − | 0.459987i | \(-0.847854\pi\) |
−0.0456024 | + | 0.998960i | \(0.514521\pi\) | |||||||
\(920\) | −1.02893 | + | 0.307882i | −0.0339227 | + | 0.0101506i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 23.1689 | + | 15.8921i | 0.763027 | + | 0.523378i | ||||
\(923\) | 3.36584 | − | 5.82980i | 0.110788 | − | 0.191890i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 17.4201 | − | 14.6172i | 0.572770 | − | 0.480611i | ||||
\(926\) | −14.2729 | + | 31.3958i | −0.469037 | + | 1.03173i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −17.3867 | + | 2.37064i | −0.570746 | + | 0.0778200i | ||||
\(929\) | −10.0475 | − | 1.77164i | −0.329648 | − | 0.0581258i | 0.00637503 | − | 0.999980i | \(-0.497971\pi\) |
−0.336023 | + | 0.941854i | \(0.609082\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −10.9037 | + | 3.37774i | −0.357355 | + | 0.110701i | ||||
\(932\) | 20.6806 | − | 0.399149i | 0.677414 | − | 0.0130745i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.32841 | + | 13.6639i | 0.0434669 | + | 0.447097i | ||||
\(935\) | −7.75589 | − | 2.82291i | −0.253645 | − | 0.0923192i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 16.1197 | − | 13.5261i | 0.526608 | − | 0.441877i | −0.340320 | − | 0.940310i | \(-0.610535\pi\) |
0.866928 | + | 0.498433i | \(0.166091\pi\) | |||||||
\(938\) | 9.23426 | − | 35.8426i | 0.301509 | − | 1.17030i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.871727 | + | 4.44089i | 0.0284326 | + | 0.144846i | ||||
\(941\) | −50.4016 | + | 8.88716i | −1.64305 | + | 0.289713i | −0.917284 | − | 0.398233i | \(-0.869623\pi\) |
−0.725761 | + | 0.687947i | \(0.758512\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.494343 | + | 0.285409i | −0.0160980 | + | 0.00929420i | ||||
\(944\) | 31.9796 | − | 29.0089i | 1.04085 | − | 0.944160i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.48351 | − | 1.18738i | 0.0807457 | − | 0.0386052i | ||||
\(947\) | −27.4904 | − | 23.0672i | −0.893317 | − | 0.749582i | 0.0755553 | − | 0.997142i | \(-0.475927\pi\) |
−0.968873 | + | 0.247559i | \(0.920372\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −34.5254 | −1.12074 | ||||||||
\(950\) | 19.8301 | − | 12.7623i | 0.643373 | − | 0.414065i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 9.04828 | + | 12.1575i | 0.293256 | + | 0.394028i | ||||
\(953\) | −22.6265 | + | 26.9652i | −0.732945 | + | 0.873490i | −0.995820 | − | 0.0913399i | \(-0.970885\pi\) |
0.262875 | + | 0.964830i | \(0.415329\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.80625 | + | 24.1950i | 0.284963 | + | 0.782931i | ||||
\(956\) | 16.4762 | + | 18.8832i | 0.532877 | + | 0.610726i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 57.7335 | − | 16.0683i | 1.86528 | − | 0.519142i | ||||
\(959\) | −4.36745 | − | 24.7690i | −0.141032 | − | 0.799834i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.4900 | − | 44.1500i | 0.822259 | − | 1.42419i | ||||
\(962\) | −10.0820 | + | 39.1330i | −0.325056 | + | 1.26170i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 3.08331 | + | 7.98821i | 0.0993067 | + | 0.257283i | ||||
\(965\) | −12.8645 | + | 35.3450i | −0.414124 | + | 1.13780i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.4130 | − | 3.07038i | −0.559964 | − | 0.0987367i | −0.113499 | − | 0.993538i | \(-0.536206\pi\) |
−0.446464 | + | 0.894801i | \(0.647317\pi\) | |||||||
\(968\) | −19.0673 | + | 20.2045i | −0.612847 | + | 0.649396i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −15.9314 | + | 16.2418i | −0.511525 | + | 0.521493i | ||||
\(971\) | −8.59953 | + | 48.7703i | −0.275972 | + | 1.56511i | 0.459886 | + | 0.887978i | \(0.347890\pi\) |
−0.735858 | + | 0.677136i | \(0.763221\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 12.2108 | + | 4.44435i | 0.391459 | + | 0.142479i | ||||
\(974\) | 6.62654 | − | 14.5762i | 0.212328 | − | 0.467052i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −27.7120 | − | 43.9864i | −0.887039 | − | 1.40797i | ||||
\(977\) | 45.1973 | + | 26.0947i | 1.44599 | + | 0.834843i | 0.998239 | − | 0.0593158i | \(-0.0188919\pi\) |
0.447751 | + | 0.894158i | \(0.352225\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.09613 | + | 0.369604i | −0.0669926 | + | 0.0118126i | ||||
\(980\) | −7.51827 | + | 13.6225i | −0.240162 | + | 0.435156i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −53.9810 | − | 4.19830i | −1.72260 | − | 0.133973i | ||||
\(983\) | −7.57565 | + | 2.75731i | −0.241626 | + | 0.0879446i | −0.459995 | − | 0.887922i | \(-0.652149\pi\) |
0.218369 | + | 0.975866i | \(0.429926\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −15.1155 | − | 12.6834i | −0.481619 | − | 0.404126i | ||||
\(986\) | 9.13634 | − | 6.52961i | 0.290960 | − | 0.207945i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −15.4829 | + | 38.9415i | −0.492576 | + | 1.23889i | ||||
\(989\) | 0.229236i | 0.00728928i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 9.22028 | − | 10.9883i | 0.292892 | − | 0.349055i | −0.599452 | − | 0.800410i | \(-0.704615\pi\) |
0.892344 | + | 0.451355i | \(0.149059\pi\) | |||||||
\(992\) | 45.3220 | − | 23.8595i | 1.43898 | − | 0.757540i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.321428 | − | 4.13287i | 0.0101951 | − | 0.131087i | ||||
\(995\) | 11.0469 | + | 19.1338i | 0.350211 | + | 0.606584i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.28967 | − | 24.3279i | −0.135855 | − | 0.770473i | −0.974260 | − | 0.225426i | \(-0.927623\pi\) |
0.838405 | − | 0.545048i | \(-0.183488\pi\) | |||||||
\(998\) | 28.8555 | + | 19.7926i | 0.913403 | + | 0.626525i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 684.2.ce.a.359.10 | ✓ | 240 | |
3.2 | odd | 2 | inner | 684.2.ce.a.359.31 | yes | 240 | |
4.3 | odd | 2 | inner | 684.2.ce.a.359.14 | yes | 240 | |
12.11 | even | 2 | inner | 684.2.ce.a.359.27 | yes | 240 | |
19.9 | even | 9 | inner | 684.2.ce.a.503.27 | yes | 240 | |
57.47 | odd | 18 | inner | 684.2.ce.a.503.14 | yes | 240 | |
76.47 | odd | 18 | inner | 684.2.ce.a.503.31 | yes | 240 | |
228.47 | even | 18 | inner | 684.2.ce.a.503.10 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
684.2.ce.a.359.10 | ✓ | 240 | 1.1 | even | 1 | trivial | |
684.2.ce.a.359.14 | yes | 240 | 4.3 | odd | 2 | inner | |
684.2.ce.a.359.27 | yes | 240 | 12.11 | even | 2 | inner | |
684.2.ce.a.359.31 | yes | 240 | 3.2 | odd | 2 | inner | |
684.2.ce.a.503.10 | yes | 240 | 228.47 | even | 18 | inner | |
684.2.ce.a.503.14 | yes | 240 | 57.47 | odd | 18 | inner | |
684.2.ce.a.503.27 | yes | 240 | 19.9 | even | 9 | inner | |
684.2.ce.a.503.31 | yes | 240 | 76.47 | odd | 18 | inner |