Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(176,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.176");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.d (of order \(2\), degree \(1\), 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: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 176.10 | ||
Character | \(\chi\) | \(=\) | 177.176 |
Dual form | 177.4.d.c.176.9 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.28707 | −1.51571 | −0.757854 | − | 0.652424i | \(-0.773752\pi\) | ||||
−0.757854 | + | 0.652424i | \(0.773752\pi\) | |||||||
\(3\) | 0.191639 | + | 5.19262i | 0.0368810 | + | 0.999320i | ||||
\(4\) | 10.3790 | 1.29737 | ||||||||
\(5\) | − | 4.91692i | − | 0.439783i | −0.975524 | − | 0.219891i | \(-0.929430\pi\) | ||
0.975524 | − | 0.219891i | \(-0.0705703\pi\) | |||||||
\(6\) | −0.821572 | − | 22.2611i | −0.0559009 | − | 1.51468i | ||||
\(7\) | 31.8159 | 1.71790 | 0.858949 | − | 0.512060i | \(-0.171118\pi\) | ||||
0.858949 | + | 0.512060i | \(0.171118\pi\) | |||||||
\(8\) | −10.1988 | −0.450727 | ||||||||
\(9\) | −26.9265 | + | 1.99022i | −0.997280 | + | 0.0737119i | ||||
\(10\) | 21.0792i | 0.666582i | ||||||||
\(11\) | −38.0073 | −1.04178 | −0.520892 | − | 0.853623i | \(-0.674401\pi\) | ||||
−0.520892 | + | 0.853623i | \(0.674401\pi\) | |||||||
\(12\) | 1.98902 | + | 53.8940i | 0.0478484 | + | 1.29649i | ||||
\(13\) | − | 69.1147i | − | 1.47454i | −0.675600 | − | 0.737269i | \(-0.736115\pi\) | ||
0.675600 | − | 0.737269i | \(-0.263885\pi\) | |||||||
\(14\) | −136.397 | −2.60383 | ||||||||
\(15\) | 25.5317 | − | 0.942275i | 0.439483 | − | 0.0162196i | ||||
\(16\) | −39.3088 | −0.614200 | ||||||||
\(17\) | − | 38.2553i | − | 0.545781i | −0.962045 | − | 0.272891i | \(-0.912020\pi\) | ||
0.962045 | − | 0.272891i | \(-0.0879797\pi\) | |||||||
\(18\) | 115.436 | − | 8.53221i | 1.51158 | − | 0.111726i | ||||
\(19\) | −79.5969 | −0.961093 | −0.480547 | − | 0.876969i | \(-0.659562\pi\) | ||||
−0.480547 | + | 0.876969i | \(0.659562\pi\) | |||||||
\(20\) | − | 51.0325i | − | 0.570561i | ||||||
\(21\) | 6.09719 | + | 165.208i | 0.0633579 | + | 1.71673i | ||||
\(22\) | 162.940 | 1.57904 | ||||||||
\(23\) | 61.2479 | 0.555264 | 0.277632 | − | 0.960687i | \(-0.410450\pi\) | ||||
0.277632 | + | 0.960687i | \(0.410450\pi\) | |||||||
\(24\) | −1.95449 | − | 52.9584i | −0.0166233 | − | 0.450420i | ||||
\(25\) | 100.824 | 0.806591 | ||||||||
\(26\) | 296.300i | 2.23497i | ||||||||
\(27\) | −15.4946 | − | 139.438i | −0.110442 | − | 0.993883i | ||||
\(28\) | 330.216 | 2.22875 | ||||||||
\(29\) | − | 168.216i | − | 1.07713i | −0.842583 | − | 0.538567i | \(-0.818966\pi\) | ||
0.842583 | − | 0.538567i | \(-0.181034\pi\) | |||||||
\(30\) | −109.456 | + | 4.03960i | −0.666128 | + | 0.0245842i | ||||
\(31\) | − | 22.7122i | − | 0.131588i | −0.997833 | − | 0.0657939i | \(-0.979042\pi\) | ||
0.997833 | − | 0.0657939i | \(-0.0209580\pi\) | |||||||
\(32\) | 250.110 | 1.38168 | ||||||||
\(33\) | −7.28369 | − | 197.357i | −0.0384220 | − | 1.04107i | ||||
\(34\) | 164.003i | 0.827245i | ||||||||
\(35\) | − | 156.436i | − | 0.755502i | ||||||
\(36\) | −279.470 | + | 20.6564i | −1.29384 | + | 0.0956316i | ||||
\(37\) | − | 197.816i | − | 0.878938i | −0.898258 | − | 0.439469i | \(-0.855167\pi\) | ||
0.898258 | − | 0.439469i | \(-0.144833\pi\) | |||||||
\(38\) | 341.237 | 1.45674 | ||||||||
\(39\) | 358.886 | − | 13.2451i | 1.47353 | − | 0.0543824i | ||||
\(40\) | 50.1466i | 0.198222i | ||||||||
\(41\) | − | 415.087i | − | 1.58111i | −0.612389 | − | 0.790557i | \(-0.709791\pi\) | ||
0.612389 | − | 0.790557i | \(-0.290209\pi\) | |||||||
\(42\) | −26.1391 | − | 708.258i | −0.0960320 | − | 2.60206i | ||||
\(43\) | 429.319i | 1.52257i | 0.648417 | + | 0.761286i | \(0.275431\pi\) | ||||
−0.648417 | + | 0.761286i | \(0.724569\pi\) | |||||||
\(44\) | −394.476 | −1.35158 | ||||||||
\(45\) | 9.78575 | + | 132.396i | 0.0324172 | + | 0.438586i | ||||
\(46\) | −262.574 | −0.841618 | ||||||||
\(47\) | 90.7688 | 0.281702 | 0.140851 | − | 0.990031i | \(-0.455016\pi\) | ||||
0.140851 | + | 0.990031i | \(0.455016\pi\) | |||||||
\(48\) | −7.53312 | − | 204.116i | −0.0226523 | − | 0.613782i | ||||
\(49\) | 669.253 | 1.95118 | ||||||||
\(50\) | −432.239 | −1.22256 | ||||||||
\(51\) | 198.645 | − | 7.33123i | 0.545410 | − | 0.0201290i | ||||
\(52\) | − | 717.339i | − | 1.91302i | ||||||
\(53\) | 4.32567i | 0.0112109i | 0.999984 | + | 0.00560544i | \(0.00178428\pi\) | ||||
−0.999984 | + | 0.00560544i | \(0.998216\pi\) | |||||||
\(54\) | 66.4266 | + | 597.780i | 0.167398 | + | 1.50644i | ||||
\(55\) | 186.879i | 0.458158i | ||||||||
\(56\) | −324.484 | −0.774303 | ||||||||
\(57\) | −15.2539 | − | 413.316i | −0.0354461 | − | 0.960440i | ||||
\(58\) | 721.152i | 1.63262i | ||||||||
\(59\) | 314.804 | − | 326.002i | 0.694644 | − | 0.719354i | ||||
\(60\) | 264.992 | − | 9.77984i | 0.570173 | − | 0.0210429i | ||||
\(61\) | − | 230.891i | − | 0.484633i | −0.970197 | − | 0.242317i | \(-0.922093\pi\) | ||
0.970197 | − | 0.242317i | \(-0.0779072\pi\) | |||||||
\(62\) | 97.3686i | 0.199449i | ||||||||
\(63\) | −856.693 | + | 63.3207i | −1.71323 | + | 0.126630i | ||||
\(64\) | −757.768 | −1.48002 | ||||||||
\(65\) | −339.832 | −0.648476 | ||||||||
\(66\) | 31.2257 | + | 846.084i | 0.0582366 | + | 1.57797i | ||||
\(67\) | 803.305i | 1.46477i | 0.680893 | + | 0.732383i | \(0.261592\pi\) | ||||
−0.680893 | + | 0.732383i | \(0.738408\pi\) | |||||||
\(68\) | − | 397.051i | − | 0.708081i | ||||||
\(69\) | 11.7375 | + | 318.037i | 0.0204787 | + | 0.554886i | ||||
\(70\) | 670.653i | 1.14512i | ||||||||
\(71\) | 606.858i | 1.01438i | 0.861835 | + | 0.507189i | \(0.169315\pi\) | ||||
−0.861835 | + | 0.507189i | \(0.830685\pi\) | |||||||
\(72\) | 274.618 | − | 20.2978i | 0.449501 | − | 0.0332239i | ||||
\(73\) | − | 723.253i | − | 1.15959i | −0.814761 | − | 0.579797i | \(-0.803132\pi\) | ||
0.814761 | − | 0.579797i | \(-0.196868\pi\) | |||||||
\(74\) | 848.050i | 1.33221i | ||||||||
\(75\) | 19.3218 | + | 523.540i | 0.0297479 | + | 0.806043i | ||||
\(76\) | −826.133 | −1.24689 | ||||||||
\(77\) | −1209.24 | −1.78968 | ||||||||
\(78\) | −1538.57 | + | 56.7827i | −2.23345 | + | 0.0824279i | ||||
\(79\) | −282.277 | −0.402009 | −0.201004 | − | 0.979590i | \(-0.564421\pi\) | ||||
−0.201004 | + | 0.979590i | \(0.564421\pi\) | |||||||
\(80\) | 193.278i | 0.270115i | ||||||||
\(81\) | 721.078 | − | 107.180i | 0.989133 | − | 0.147023i | ||||
\(82\) | 1779.51i | 2.39651i | ||||||||
\(83\) | −375.995 | −0.497238 | −0.248619 | − | 0.968601i | \(-0.579977\pi\) | ||||
−0.248619 | + | 0.968601i | \(0.579977\pi\) | |||||||
\(84\) | 63.2825 | + | 1714.69i | 0.0821986 | + | 2.22723i | ||||
\(85\) | −188.098 | −0.240025 | ||||||||
\(86\) | − | 1840.52i | − | 2.30777i | ||||||
\(87\) | 873.480 | − | 32.2368i | 1.07640 | − | 0.0397258i | ||||
\(88\) | 387.628 | 0.469560 | ||||||||
\(89\) | 1445.90 | 1.72208 | 0.861041 | − | 0.508535i | \(-0.169813\pi\) | ||||
0.861041 | + | 0.508535i | \(0.169813\pi\) | |||||||
\(90\) | −41.9522 | − | 567.589i | −0.0491350 | − | 0.664769i | ||||
\(91\) | − | 2198.95i | − | 2.53311i | ||||||
\(92\) | 635.690 | 0.720383 | ||||||||
\(93\) | 117.936 | − | 4.35254i | 0.131498 | − | 0.00485309i | ||||
\(94\) | −389.132 | −0.426978 | ||||||||
\(95\) | 391.371i | 0.422672i | ||||||||
\(96\) | 47.9309 | + | 1298.73i | 0.0509576 | + | 1.38074i | ||||
\(97\) | − | 1440.25i | − | 1.50758i | −0.657116 | − | 0.753789i | \(-0.728224\pi\) | ||
0.657116 | − | 0.753789i | \(-0.271776\pi\) | |||||||
\(98\) | −2869.14 | −2.95741 | ||||||||
\(99\) | 1023.40 | − | 75.6428i | 1.03895 | − | 0.0767918i | ||||
\(100\) | 1046.45 | 1.04645 | ||||||||
\(101\) | 509.974 | 0.502419 | 0.251210 | − | 0.967933i | \(-0.419172\pi\) | ||||
0.251210 | + | 0.967933i | \(0.419172\pi\) | |||||||
\(102\) | −851.606 | + | 31.4295i | −0.826682 | + | 0.0305096i | ||||
\(103\) | − | 1404.56i | − | 1.34364i | −0.740712 | − | 0.671822i | \(-0.765512\pi\) | ||
0.740712 | − | 0.671822i | \(-0.234488\pi\) | |||||||
\(104\) | 704.886i | 0.664613i | ||||||||
\(105\) | 812.314 | − | 29.9794i | 0.754988 | − | 0.0278637i | ||||
\(106\) | − | 18.5444i | − | 0.0169924i | ||||||
\(107\) | 671.679i | 0.606857i | 0.952854 | + | 0.303429i | \(0.0981314\pi\) | ||||
−0.952854 | + | 0.303429i | \(0.901869\pi\) | |||||||
\(108\) | −160.818 | − | 1447.22i | −0.143285 | − | 1.28943i | ||||
\(109\) | 1588.02i | 1.39545i | 0.716365 | + | 0.697726i | \(0.245805\pi\) | ||||
−0.716365 | + | 0.697726i | \(0.754195\pi\) | |||||||
\(110\) | − | 801.162i | − | 0.694434i | ||||||
\(111\) | 1027.18 | − | 37.9093i | 0.878340 | − | 0.0324161i | ||||
\(112\) | −1250.65 | −1.05513 | ||||||||
\(113\) | 417.004 | 0.347154 | 0.173577 | − | 0.984820i | \(-0.444467\pi\) | ||||
0.173577 | + | 0.984820i | \(0.444467\pi\) | |||||||
\(114\) | 65.3945 | + | 1771.91i | 0.0537260 | + | 1.45575i | ||||
\(115\) | − | 301.151i | − | 0.244195i | ||||||
\(116\) | − | 1745.90i | − | 1.39744i | ||||||
\(117\) | 137.554 | + | 1861.02i | 0.108691 | + | 1.47053i | ||||
\(118\) | −1349.59 | + | 1397.59i | −1.05288 | + | 1.09033i | ||||
\(119\) | − | 1217.13i | − | 0.937597i | ||||||
\(120\) | −260.392 | + | 9.61006i | −0.198087 | + | 0.00731062i | ||||
\(121\) | 113.552 | 0.0853131 | ||||||||
\(122\) | 989.848i | 0.734562i | ||||||||
\(123\) | 2155.39 | − | 79.5470i | 1.58004 | − | 0.0583131i | ||||
\(124\) | − | 235.729i | − | 0.170718i | ||||||
\(125\) | − | 1110.36i | − | 0.794507i | ||||||
\(126\) | 3672.70 | − | 271.460i | 2.59675 | − | 0.191933i | ||||
\(127\) | −739.133 | −0.516437 | −0.258218 | − | 0.966087i | \(-0.583135\pi\) | ||||
−0.258218 | + | 0.966087i | \(0.583135\pi\) | |||||||
\(128\) | 1247.72 | 0.861596 | ||||||||
\(129\) | −2229.29 | + | 82.2745i | −1.52154 | + | 0.0561540i | ||||
\(130\) | 1456.88 | 0.982900 | ||||||||
\(131\) | −1517.87 | −1.01234 | −0.506172 | − | 0.862432i | \(-0.668940\pi\) | ||||
−0.506172 | + | 0.862432i | \(0.668940\pi\) | |||||||
\(132\) | −75.5971 | − | 2048.36i | −0.0498476 | − | 1.35066i | ||||
\(133\) | −2532.45 | −1.65106 | ||||||||
\(134\) | − | 3443.83i | − | 2.22016i | ||||||
\(135\) | −685.605 | + | 76.1859i | −0.437092 | + | 0.0485706i | ||||
\(136\) | 390.158i | 0.245998i | ||||||||
\(137\) | − | 450.679i | − | 0.281052i | −0.990077 | − | 0.140526i | \(-0.955121\pi\) | ||
0.990077 | − | 0.140526i | \(-0.0448793\pi\) | |||||||
\(138\) | −50.3195 | − | 1363.45i | −0.0310397 | − | 0.841046i | ||||
\(139\) | 733.381 | 0.447515 | 0.223757 | − | 0.974645i | \(-0.428168\pi\) | ||||
0.223757 | + | 0.974645i | \(0.428168\pi\) | |||||||
\(140\) | − | 1623.65i | − | 0.980166i | ||||||
\(141\) | 17.3949 | + | 471.328i | 0.0103895 | + | 0.281510i | ||||
\(142\) | − | 2601.64i | − | 1.53750i | ||||||
\(143\) | 2626.86i | 1.53615i | ||||||||
\(144\) | 1058.45 | − | 78.2332i | 0.612529 | − | 0.0452739i | ||||
\(145\) | −827.103 | −0.473705 | ||||||||
\(146\) | 3100.64i | 1.75761i | ||||||||
\(147\) | 128.255 | + | 3475.18i | 0.0719614 | + | 1.94985i | ||||
\(148\) | − | 2053.12i | − | 1.14031i | ||||||
\(149\) | −854.020 | −0.469557 | −0.234779 | − | 0.972049i | \(-0.575437\pi\) | ||||
−0.234779 | + | 0.972049i | \(0.575437\pi\) | |||||||
\(150\) | −82.8341 | − | 2244.45i | −0.0450891 | − | 1.22173i | ||||
\(151\) | − | 1524.51i | − | 0.821607i | −0.911724 | − | 0.410803i | \(-0.865248\pi\) | ||
0.911724 | − | 0.410803i | \(-0.134752\pi\) | |||||||
\(152\) | 811.791 | 0.433191 | ||||||||
\(153\) | 76.1366 | + | 1030.08i | 0.0402306 | + | 0.544297i | ||||
\(154\) | 5184.08 | 2.71263 | ||||||||
\(155\) | −111.674 | −0.0578700 | ||||||||
\(156\) | 3724.87 | − | 137.471i | 1.91172 | − | 0.0705542i | ||||
\(157\) | − | 1263.83i | − | 0.642449i | −0.947003 | − | 0.321224i | \(-0.895906\pi\) | ||
0.947003 | − | 0.321224i | \(-0.104094\pi\) | |||||||
\(158\) | 1210.14 | 0.609328 | ||||||||
\(159\) | −22.4615 | + | 0.828969i | −0.0112032 | + | 0.000413469i | ||||
\(160\) | − | 1229.77i | − | 0.607637i | ||||||
\(161\) | 1948.66 | 0.953888 | ||||||||
\(162\) | −3091.31 | + | 459.486i | −1.49924 | + | 0.222843i | ||||
\(163\) | 3122.87 | 1.50063 | 0.750313 | − | 0.661083i | \(-0.229903\pi\) | ||||
0.750313 | + | 0.661083i | \(0.229903\pi\) | |||||||
\(164\) | − | 4308.17i | − | 2.05129i | ||||||
\(165\) | −970.389 | + | 35.8133i | −0.457847 | + | 0.0168973i | ||||
\(166\) | 1611.91 | 0.753668 | ||||||||
\(167\) | 893.505i | 0.414021i | 0.978339 | + | 0.207010i | \(0.0663734\pi\) | ||||
−0.978339 | + | 0.207010i | \(0.933627\pi\) | |||||||
\(168\) | −62.1839 | − | 1684.92i | −0.0285571 | − | 0.773776i | ||||
\(169\) | −2579.85 | −1.17426 | ||||||||
\(170\) | 806.391 | 0.363808 | ||||||||
\(171\) | 2143.27 | − | 158.415i | 0.958479 | − | 0.0708440i | ||||
\(172\) | 4455.89i | 1.97534i | ||||||||
\(173\) | −4487.65 | −1.97220 | −0.986098 | − | 0.166162i | \(-0.946863\pi\) | ||||
−0.986098 | + | 0.166162i | \(0.946863\pi\) | |||||||
\(174\) | −3744.67 | + | 138.201i | −1.63151 | + | 0.0602127i | ||||
\(175\) | 3207.81 | 1.38564 | ||||||||
\(176\) | 1494.02 | 0.639864 | ||||||||
\(177\) | 1753.13 | + | 1572.18i | 0.744483 | + | 0.667641i | ||||
\(178\) | −6198.69 | −2.61017 | ||||||||
\(179\) | 2508.10 | 1.04729 | 0.523643 | − | 0.851938i | \(-0.324573\pi\) | ||||
0.523643 | + | 0.851938i | \(0.324573\pi\) | |||||||
\(180\) | 101.566 | + | 1374.13i | 0.0420571 | + | 0.569009i | ||||
\(181\) | −32.6715 | −0.0134169 | −0.00670844 | − | 0.999977i | \(-0.502135\pi\) | ||||
−0.00670844 | + | 0.999977i | \(0.502135\pi\) | |||||||
\(182\) | 9427.05i | 3.83945i | ||||||||
\(183\) | 1198.93 | − | 44.2479i | 0.484303 | − | 0.0178738i | ||||
\(184\) | −624.654 | −0.250272 | ||||||||
\(185\) | −972.644 | −0.386542 | ||||||||
\(186\) | −505.598 | + | 18.6597i | −0.199313 | + | 0.00735587i | ||||
\(187\) | 1453.98i | 0.568586i | ||||||||
\(188\) | 942.086 | 0.365472 | ||||||||
\(189\) | −492.976 | − | 4436.35i | −0.189729 | − | 1.70739i | ||||
\(190\) | − | 1677.84i | − | 0.640648i | ||||||
\(191\) | −3696.45 | −1.40034 | −0.700172 | − | 0.713974i | \(-0.746893\pi\) | ||||
−0.700172 | + | 0.713974i | \(0.746893\pi\) | |||||||
\(192\) | −145.218 | − | 3934.80i | −0.0545845 | − | 1.47901i | ||||
\(193\) | 2075.49 | 0.774078 | 0.387039 | − | 0.922063i | \(-0.373498\pi\) | ||||
0.387039 | + | 0.922063i | \(0.373498\pi\) | |||||||
\(194\) | 6174.45i | 2.28505i | ||||||||
\(195\) | −65.1251 | − | 1764.62i | −0.0239164 | − | 0.648035i | ||||
\(196\) | 6946.16 | 2.53140 | ||||||||
\(197\) | 4360.73i | 1.57710i | 0.614968 | + | 0.788552i | \(0.289169\pi\) | ||||
−0.614968 | + | 0.788552i | \(0.710831\pi\) | |||||||
\(198\) | −4387.41 | + | 324.286i | −1.57474 | + | 0.116394i | ||||
\(199\) | −3431.73 | −1.22246 | −0.611228 | − | 0.791454i | \(-0.709324\pi\) | ||||
−0.611228 | + | 0.791454i | \(0.709324\pi\) | |||||||
\(200\) | −1028.28 | −0.363552 | ||||||||
\(201\) | −4171.26 | + | 153.945i | −1.46377 | + | 0.0540221i | ||||
\(202\) | −2186.29 | −0.761520 | ||||||||
\(203\) | − | 5351.94i | − | 1.85041i | ||||||
\(204\) | 2061.73 | − | 76.0906i | 0.707599 | − | 0.0261147i | ||||
\(205\) | −2040.95 | −0.695346 | ||||||||
\(206\) | 6021.44i | 2.03657i | ||||||||
\(207\) | −1649.20 | + | 121.897i | −0.553754 | + | 0.0409296i | ||||
\(208\) | 2716.82i | 0.905661i | ||||||||
\(209\) | 3025.26 | 1.00125 | ||||||||
\(210\) | −3482.45 | + | 128.524i | −1.14434 | + | 0.0422332i | ||||
\(211\) | − | 926.630i | − | 0.302331i | −0.988508 | − | 0.151166i | \(-0.951697\pi\) | ||
0.988508 | − | 0.151166i | \(-0.0483026\pi\) | |||||||
\(212\) | 44.8960i | 0.0145447i | ||||||||
\(213\) | −3151.18 | + | 116.298i | −1.01369 | + | 0.0374113i | ||||
\(214\) | − | 2879.54i | − | 0.919818i | ||||||
\(215\) | 2110.93 | 0.669600 | ||||||||
\(216\) | 158.026 | + | 1422.10i | 0.0497794 | + | 0.447969i | ||||
\(217\) | − | 722.608i | − | 0.226055i | ||||||
\(218\) | − | 6807.93i | − | 2.11510i | ||||||
\(219\) | 3755.58 | − | 138.604i | 1.15881 | − | 0.0427670i | ||||
\(220\) | 1939.61i | 0.594401i | ||||||||
\(221\) | −2644.01 | −0.804775 | ||||||||
\(222\) | −4403.60 | + | 162.520i | −1.33131 | + | 0.0491334i | ||||
\(223\) | 4090.39 | 1.22831 | 0.614154 | − | 0.789186i | \(-0.289497\pi\) | ||||
0.614154 | + | 0.789186i | \(0.289497\pi\) | |||||||
\(224\) | 7957.48 | 2.37358 | ||||||||
\(225\) | −2714.84 | + | 200.662i | −0.804397 | + | 0.0594553i | ||||
\(226\) | −1787.72 | −0.526184 | ||||||||
\(227\) | −3062.19 | −0.895351 | −0.447676 | − | 0.894196i | \(-0.647748\pi\) | ||||
−0.447676 | + | 0.894196i | \(0.647748\pi\) | |||||||
\(228\) | −158.320 | − | 4289.79i | −0.0459867 | − | 1.24605i | ||||
\(229\) | 5907.73i | 1.70478i | 0.522910 | + | 0.852388i | \(0.324846\pi\) | ||||
−0.522910 | + | 0.852388i | \(0.675154\pi\) | |||||||
\(230\) | 1291.06i | 0.370129i | ||||||||
\(231\) | −231.737 | − | 6279.10i | −0.0660052 | − | 1.78846i | ||||
\(232\) | 1715.60i | 0.485493i | ||||||||
\(233\) | 1083.45 | 0.304631 | 0.152316 | − | 0.988332i | \(-0.451327\pi\) | ||||
0.152316 | + | 0.988332i | \(0.451327\pi\) | |||||||
\(234\) | −589.702 | − | 7978.33i | −0.164744 | − | 2.22889i | ||||
\(235\) | − | 446.303i | − | 0.123888i | ||||||
\(236\) | 3267.34 | − | 3383.56i | 0.901211 | − | 0.933268i | ||||
\(237\) | −54.0955 | − | 1465.76i | −0.0148265 | − | 0.401735i | ||||
\(238\) | 5217.92i | 1.42112i | ||||||||
\(239\) | − | 790.173i | − | 0.213858i | −0.994267 | − | 0.106929i | \(-0.965898\pi\) | ||
0.994267 | − | 0.106929i | \(-0.0341017\pi\) | |||||||
\(240\) | −1003.62 | + | 37.0397i | −0.269931 | + | 0.00996210i | ||||
\(241\) | 111.874 | 0.0299022 | 0.0149511 | − | 0.999888i | \(-0.495241\pi\) | ||||
0.0149511 | + | 0.999888i | \(0.495241\pi\) | |||||||
\(242\) | −486.804 | −0.129310 | ||||||||
\(243\) | 694.729 | + | 3723.74i | 0.183403 | + | 0.983038i | ||||
\(244\) | − | 2396.41i | − | 0.628749i | ||||||
\(245\) | − | 3290.66i | − | 0.858093i | ||||||
\(246\) | −9240.29 | + | 341.023i | −2.39488 | + | 0.0883856i | ||||
\(247\) | 5501.32i | 1.41717i | ||||||||
\(248\) | 231.636i | 0.0593102i | ||||||||
\(249\) | −72.0554 | − | 1952.40i | −0.0183386 | − | 0.496900i | ||||
\(250\) | 4760.18i | 1.20424i | ||||||||
\(251\) | 3259.06i | 0.819563i | 0.912184 | + | 0.409781i | \(0.134395\pi\) | ||||
−0.912184 | + | 0.409781i | \(0.865605\pi\) | |||||||
\(252\) | −8891.59 | + | 657.203i | −2.22269 | + | 0.164285i | ||||
\(253\) | −2327.87 | −0.578465 | ||||||||
\(254\) | 3168.72 | 0.782767 | ||||||||
\(255\) | −36.0471 | − | 976.723i | −0.00885237 | − | 0.239862i | ||||
\(256\) | 713.062 | 0.174087 | ||||||||
\(257\) | 3474.54i | 0.843330i | 0.906752 | + | 0.421665i | \(0.138554\pi\) | ||||
−0.906752 | + | 0.421665i | \(0.861446\pi\) | |||||||
\(258\) | 9557.12 | − | 352.716i | 2.30620 | − | 0.0851130i | ||||
\(259\) | − | 6293.69i | − | 1.50993i | ||||||
\(260\) | −3527.10 | −0.841313 | ||||||||
\(261\) | 334.786 | + | 4529.47i | 0.0793975 | + | 1.07420i | ||||
\(262\) | 6507.22 | 1.53442 | ||||||||
\(263\) | − | 6207.65i | − | 1.45544i | −0.685875 | − | 0.727719i | \(-0.740580\pi\) | ||
0.685875 | − | 0.727719i | \(-0.259420\pi\) | |||||||
\(264\) | 74.2848 | + | 2012.80i | 0.0173178 | + | 0.469240i | ||||
\(265\) | 21.2690 | 0.00493035 | ||||||||
\(266\) | 10856.8 | 2.50253 | ||||||||
\(267\) | 277.092 | + | 7508.02i | 0.0635122 | + | 1.72091i | ||||
\(268\) | 8337.48i | 1.90034i | ||||||||
\(269\) | 978.321 | 0.221745 | 0.110872 | − | 0.993835i | \(-0.464636\pi\) | ||||
0.110872 | + | 0.993835i | \(0.464636\pi\) | |||||||
\(270\) | 2939.23 | − | 326.614i | 0.662504 | − | 0.0736189i | ||||
\(271\) | −5102.58 | −1.14376 | −0.571882 | − | 0.820336i | \(-0.693786\pi\) | ||||
−0.571882 | + | 0.820336i | \(0.693786\pi\) | |||||||
\(272\) | 1503.77i | 0.335219i | ||||||||
\(273\) | 11418.3 | − | 421.406i | 2.53138 | − | 0.0934235i | ||||
\(274\) | 1932.09i | 0.425992i | ||||||||
\(275\) | −3832.04 | −0.840294 | ||||||||
\(276\) | 121.823 | + | 3300.89i | 0.0265685 | + | 0.719893i | ||||
\(277\) | −3823.63 | −0.829386 | −0.414693 | − | 0.909961i | \(-0.636111\pi\) | ||||
−0.414693 | + | 0.909961i | \(0.636111\pi\) | |||||||
\(278\) | −3144.06 | −0.678302 | ||||||||
\(279\) | 45.2022 | + | 611.560i | 0.00969959 | + | 0.131230i | ||||
\(280\) | 1595.46i | 0.340525i | ||||||||
\(281\) | − | 2999.43i | − | 0.636764i | −0.947962 | − | 0.318382i | \(-0.896860\pi\) | ||
0.947962 | − | 0.318382i | \(-0.103140\pi\) | |||||||
\(282\) | −74.5731 | − | 2020.61i | −0.0157474 | − | 0.426687i | ||||
\(283\) | − | 4002.87i | − | 0.840799i | −0.907339 | − | 0.420399i | \(-0.861890\pi\) | ||
0.907339 | − | 0.420399i | \(-0.138110\pi\) | |||||||
\(284\) | 6298.56i | 1.31602i | ||||||||
\(285\) | −2032.24 | + | 75.0022i | −0.422385 | + | 0.0155886i | ||||
\(286\) | − | 11261.5i | − | 2.32835i | ||||||
\(287\) | − | 13206.4i | − | 2.71619i | ||||||
\(288\) | −6734.60 | + | 497.774i | −1.37792 | + | 0.101846i | ||||
\(289\) | 3449.53 | 0.702123 | ||||||||
\(290\) | 3545.85 | 0.717998 | ||||||||
\(291\) | 7478.66 | − | 276.009i | 1.50655 | − | 0.0556011i | ||||
\(292\) | − | 7506.62i | − | 1.50442i | ||||||
\(293\) | − | 5009.72i | − | 0.998878i | −0.866349 | − | 0.499439i | \(-0.833540\pi\) | ||
0.866349 | − | 0.499439i | \(-0.166460\pi\) | |||||||
\(294\) | −549.840 | − | 14898.3i | −0.109072 | − | 2.95540i | ||||
\(295\) | −1602.93 | − | 1547.87i | −0.316359 | − | 0.305492i | ||||
\(296\) | 2017.48i | 0.396161i | ||||||||
\(297\) | 588.909 | + | 5299.65i | 0.115057 | + | 1.03541i | ||||
\(298\) | 3661.24 | 0.711712 | ||||||||
\(299\) | − | 4233.13i | − | 0.818757i | ||||||
\(300\) | 200.541 | + | 5433.80i | 0.0385941 | + | 1.04574i | ||||
\(301\) | 13659.2i | 2.61562i | ||||||||
\(302\) | 6535.67i | 1.24532i | ||||||||
\(303\) | 97.7311 | + | 2648.10i | 0.0185297 | + | 0.502077i | ||||
\(304\) | 3128.86 | 0.590304 | ||||||||
\(305\) | −1135.27 | −0.213133 | ||||||||
\(306\) | −326.403 | − | 4416.04i | −0.0609778 | − | 0.824995i | ||||
\(307\) | −5297.78 | −0.984887 | −0.492443 | − | 0.870344i | \(-0.663896\pi\) | ||||
−0.492443 | + | 0.870344i | \(0.663896\pi\) | |||||||
\(308\) | −12550.6 | −2.32188 | ||||||||
\(309\) | 7293.34 | − | 269.169i | 1.34273 | − | 0.0495550i | ||||
\(310\) | 478.753 | 0.0877141 | ||||||||
\(311\) | 8054.46i | 1.46857i | 0.678839 | + | 0.734287i | \(0.262483\pi\) | ||||
−0.678839 | + | 0.734287i | \(0.737517\pi\) | |||||||
\(312\) | −3660.20 | + | 135.084i | −0.664161 | + | 0.0245116i | ||||
\(313\) | − | 3832.10i | − | 0.692023i | −0.938230 | − | 0.346012i | \(-0.887536\pi\) | ||
0.938230 | − | 0.346012i | \(-0.112464\pi\) | |||||||
\(314\) | 5418.12i | 0.973765i | ||||||||
\(315\) | 311.343 | + | 4212.29i | 0.0556895 | + | 0.753447i | ||||
\(316\) | −2929.75 | −0.521554 | ||||||||
\(317\) | 5852.55i | 1.03695i | 0.855094 | + | 0.518473i | \(0.173499\pi\) | ||||
−0.855094 | + | 0.518473i | \(0.826501\pi\) | |||||||
\(318\) | 96.2942 | − | 3.55385i | 0.0169809 | − | 0.000626698i | ||||
\(319\) | 6393.42i | 1.12214i | ||||||||
\(320\) | 3725.88i | 0.650885i | ||||||||
\(321\) | −3487.77 | + | 128.720i | −0.606444 | + | 0.0223815i | ||||
\(322\) | −8354.04 | −1.44581 | ||||||||
\(323\) | 3045.01i | 0.524547i | ||||||||
\(324\) | 7484.04 | − | 1112.41i | 1.28327 | − | 0.190743i | ||||
\(325\) | − | 6968.42i | − | 1.18935i | ||||||
\(326\) | −13388.0 | −2.27451 | ||||||||
\(327\) | −8245.95 | + | 304.326i | −1.39450 | + | 0.0514657i | ||||
\(328\) | 4233.38i | 0.712650i | ||||||||
\(329\) | 2887.89 | 0.483935 | ||||||||
\(330\) | 4160.13 | − | 153.534i | 0.693962 | − | 0.0256114i | ||||
\(331\) | −8698.99 | −1.44453 | −0.722266 | − | 0.691616i | \(-0.756899\pi\) | ||||
−0.722266 | + | 0.691616i | \(0.756899\pi\) | |||||||
\(332\) | −3902.43 | −0.645102 | ||||||||
\(333\) | 393.697 | + | 5326.50i | 0.0647882 | + | 0.876547i | ||||
\(334\) | − | 3830.52i | − | 0.627534i | ||||||
\(335\) | 3949.79 | 0.644179 | ||||||||
\(336\) | −239.673 | − | 6494.13i | −0.0389144 | − | 1.05442i | ||||
\(337\) | 10431.4i | 1.68616i | 0.537786 | + | 0.843081i | \(0.319261\pi\) | ||||
−0.537786 | + | 0.843081i | \(0.680739\pi\) | |||||||
\(338\) | 11060.0 | 1.77983 | ||||||||
\(339\) | 79.9143 | + | 2165.34i | 0.0128034 | + | 0.346918i | ||||
\(340\) | −1952.27 | −0.311401 | ||||||||
\(341\) | 863.227i | 0.137086i | ||||||||
\(342\) | −9188.34 | + | 679.137i | −1.45277 | + | 0.107379i | ||||
\(343\) | 10380.1 | 1.63402 | ||||||||
\(344\) | − | 4378.53i | − | 0.686264i | ||||||
\(345\) | 1563.76 | − | 57.7124i | 0.244029 | − | 0.00900618i | ||||
\(346\) | 19238.9 | 2.98927 | ||||||||
\(347\) | 9324.88 | 1.44261 | 0.721305 | − | 0.692617i | \(-0.243543\pi\) | ||||
0.721305 | + | 0.692617i | \(0.243543\pi\) | |||||||
\(348\) | 9065.82 | − | 334.584i | 1.39649 | − | 0.0515391i | ||||
\(349\) | − | 7070.35i | − | 1.08443i | −0.840239 | − | 0.542217i | \(-0.817585\pi\) | ||
0.840239 | − | 0.542217i | \(-0.182415\pi\) | |||||||
\(350\) | −13752.1 | −2.10023 | ||||||||
\(351\) | −9637.21 | + | 1070.91i | −1.46552 | + | 0.162851i | ||||
\(352\) | −9505.99 | −1.43941 | ||||||||
\(353\) | −3887.06 | −0.586083 | −0.293042 | − | 0.956100i | \(-0.594667\pi\) | ||||
−0.293042 | + | 0.956100i | \(0.594667\pi\) | |||||||
\(354\) | −7515.80 | − | 6740.05i | −1.12842 | − | 1.01195i | ||||
\(355\) | 2983.87 | 0.446106 | ||||||||
\(356\) | 15007.0 | 2.23418 | ||||||||
\(357\) | 6320.09 | − | 233.250i | 0.936959 | − | 0.0345795i | ||||
\(358\) | −10752.4 | −1.58738 | ||||||||
\(359\) | − | 5264.51i | − | 0.773956i | −0.922089 | − | 0.386978i | \(-0.873519\pi\) | ||
0.922089 | − | 0.386978i | \(-0.126481\pi\) | |||||||
\(360\) | −99.8028 | − | 1350.27i | −0.0146113 | − | 0.197683i | ||||
\(361\) | −523.337 | −0.0762993 | ||||||||
\(362\) | 140.065 | 0.0203361 | ||||||||
\(363\) | 21.7610 | + | 589.631i | 0.00314644 | + | 0.0852551i | ||||
\(364\) | − | 22822.8i | − | 3.28638i | ||||||
\(365\) | −3556.18 | −0.509969 | ||||||||
\(366\) | −5139.90 | + | 189.694i | −0.734062 | + | 0.0270914i | ||||
\(367\) | − | 5255.81i | − | 0.747550i | −0.927519 | − | 0.373775i | \(-0.878063\pi\) | ||
0.927519 | − | 0.373775i | \(-0.121937\pi\) | |||||||
\(368\) | −2407.58 | −0.341043 | ||||||||
\(369\) | 826.114 | + | 11176.8i | 0.116547 | + | 1.57681i | ||||
\(370\) | 4169.79 | 0.585884 | ||||||||
\(371\) | 137.625i | 0.0192591i | ||||||||
\(372\) | 1224.05 | − | 45.1749i | 0.170602 | − | 0.00629626i | ||||
\(373\) | 938.194 | 0.130236 | 0.0651178 | − | 0.997878i | \(-0.479258\pi\) | ||||
0.0651178 | + | 0.997878i | \(0.479258\pi\) | |||||||
\(374\) | − | 6233.32i | − | 0.861810i | ||||||
\(375\) | 5765.66 | − | 212.788i | 0.793967 | − | 0.0293022i | ||||
\(376\) | −925.731 | −0.126971 | ||||||||
\(377\) | −11626.2 | −1.58827 | ||||||||
\(378\) | 2113.42 | + | 19018.9i | 0.287574 | + | 2.58790i | ||||
\(379\) | −1139.89 | −0.154491 | −0.0772454 | − | 0.997012i | \(-0.524612\pi\) | ||||
−0.0772454 | + | 0.997012i | \(0.524612\pi\) | |||||||
\(380\) | 4062.03i | 0.548362i | ||||||||
\(381\) | −141.647 | − | 3838.04i | −0.0190467 | − | 0.516085i | ||||
\(382\) | 15846.9 | 2.12251 | ||||||||
\(383\) | 10055.5i | 1.34154i | 0.741665 | + | 0.670770i | \(0.234036\pi\) | ||||
−0.741665 | + | 0.670770i | \(0.765964\pi\) | |||||||
\(384\) | 239.113 | + | 6478.96i | 0.0317765 | + | 0.861010i | ||||
\(385\) | 5945.72i | 0.787070i | ||||||||
\(386\) | −8897.77 | −1.17328 | ||||||||
\(387\) | −854.440 | − | 11560.1i | −0.112232 | − | 1.51843i | ||||
\(388\) | − | 14948.3i | − | 1.95589i | ||||||
\(389\) | − | 4162.74i | − | 0.542569i | −0.962499 | − | 0.271285i | \(-0.912552\pi\) | ||
0.962499 | − | 0.271285i | \(-0.0874485\pi\) | |||||||
\(390\) | 279.196 | + | 7565.03i | 0.0362503 | + | 0.982231i | ||||
\(391\) | − | 2343.06i | − | 0.303053i | ||||||
\(392\) | −6825.57 | −0.879447 | ||||||||
\(393\) | −290.884 | − | 7881.73i | −0.0373363 | − | 1.01166i | ||||
\(394\) | − | 18694.8i | − | 2.39043i | ||||||
\(395\) | 1387.93i | 0.176796i | ||||||||
\(396\) | 10621.9 | − | 785.094i | 1.34790 | − | 0.0996274i | ||||
\(397\) | − | 2409.59i | − | 0.304619i | −0.988333 | − | 0.152310i | \(-0.951329\pi\) | ||
0.988333 | − | 0.152310i | \(-0.0486711\pi\) | |||||||
\(398\) | 14712.1 | 1.85289 | ||||||||
\(399\) | −485.317 | − | 13150.0i | −0.0608928 | − | 1.64994i | ||||
\(400\) | −3963.27 | −0.495409 | ||||||||
\(401\) | 11702.0 | 1.45728 | 0.728641 | − | 0.684896i | \(-0.240152\pi\) | ||||
0.728641 | + | 0.684896i | \(0.240152\pi\) | |||||||
\(402\) | 17882.5 | − | 659.973i | 2.21865 | − | 0.0818817i | ||||
\(403\) | −1569.74 | −0.194031 | ||||||||
\(404\) | 5293.00 | 0.651824 | ||||||||
\(405\) | −526.993 | − | 3545.48i | −0.0646580 | − | 0.435003i | ||||
\(406\) | 22944.1i | 2.80468i | ||||||||
\(407\) | 7518.44i | 0.915664i | ||||||||
\(408\) | −2025.94 | + | 74.7696i | −0.245831 | + | 0.00907267i | ||||
\(409\) | − | 6683.54i | − | 0.808019i | −0.914755 | − | 0.404010i | \(-0.867616\pi\) | ||
0.914755 | − | 0.404010i | \(-0.132384\pi\) | |||||||
\(410\) | 8749.68 | 1.05394 | ||||||||
\(411\) | 2340.20 | − | 86.3678i | 0.280860 | − | 0.0103655i | ||||
\(412\) | − | 14577.9i | − | 1.74320i | ||||||
\(413\) | 10015.8 | − | 10372.1i | 1.19333 | − | 1.23578i | ||||
\(414\) | 7070.21 | − | 522.580i | 0.839329 | − | 0.0620372i | ||||
\(415\) | 1848.73i | 0.218677i | ||||||||
\(416\) | − | 17286.3i | − | 2.03733i | ||||||
\(417\) | 140.545 | + | 3808.17i | 0.0165048 | + | 0.447210i | ||||
\(418\) | −12969.5 | −1.51760 | ||||||||
\(419\) | 1833.55 | 0.213782 | 0.106891 | − | 0.994271i | \(-0.465910\pi\) | ||||
0.106891 | + | 0.994271i | \(0.465910\pi\) | |||||||
\(420\) | 8430.98 | − | 311.155i | 0.979499 | − | 0.0361495i | ||||
\(421\) | 7484.92i | 0.866491i | 0.901276 | + | 0.433245i | \(0.142632\pi\) | ||||
−0.901276 | + | 0.433245i | \(0.857368\pi\) | |||||||
\(422\) | 3972.53i | 0.458246i | ||||||||
\(423\) | −2444.09 | + | 180.650i | −0.280936 | + | 0.0207648i | ||||
\(424\) | − | 44.1166i | − | 0.00505304i | ||||||
\(425\) | − | 3857.05i | − | 0.440222i | ||||||
\(426\) | 13509.3 | − | 498.578i | 1.53645 | − | 0.0567046i | ||||
\(427\) | − | 7346.03i | − | 0.832551i | ||||||
\(428\) | 6971.34i | 0.787318i | ||||||||
\(429\) | −13640.3 | + | 503.410i | −1.53510 | + | 0.0566547i | ||||
\(430\) | −9049.69 | −1.01492 | ||||||||
\(431\) | 10125.3 | 1.13159 | 0.565796 | − | 0.824545i | \(-0.308569\pi\) | ||||
0.565796 | + | 0.824545i | \(0.308569\pi\) | |||||||
\(432\) | 609.076 | + | 5481.14i | 0.0678338 | + | 0.610443i | ||||
\(433\) | 5496.52 | 0.610037 | 0.305018 | − | 0.952346i | \(-0.401337\pi\) | ||||
0.305018 | + | 0.952346i | \(0.401337\pi\) | |||||||
\(434\) | 3097.87i | 0.342633i | ||||||||
\(435\) | −158.506 | − | 4294.83i | −0.0174707 | − | 0.473382i | ||||
\(436\) | 16482.0i | 1.81042i | ||||||||
\(437\) | −4875.14 | −0.533661 | ||||||||
\(438\) | −16100.4 | + | 594.204i | −1.75641 | + | 0.0648223i | ||||
\(439\) | 17145.2 | 1.86400 | 0.932000 | − | 0.362457i | \(-0.118062\pi\) | ||||
0.932000 | + | 0.362457i | \(0.118062\pi\) | |||||||
\(440\) | − | 1905.93i | − | 0.206504i | ||||||
\(441\) | −18020.7 | + | 1331.96i | −1.94587 | + | 0.143825i | ||||
\(442\) | 11335.0 | 1.21980 | ||||||||
\(443\) | −6312.63 | −0.677025 | −0.338513 | − | 0.940962i | \(-0.609924\pi\) | ||||
−0.338513 | + | 0.940962i | \(0.609924\pi\) | |||||||
\(444\) | 10661.1 | − | 393.459i | 1.13953 | − | 0.0420557i | ||||
\(445\) | − | 7109.39i | − | 0.757342i | ||||||
\(446\) | −17535.8 | −1.86176 | ||||||||
\(447\) | −163.664 | − | 4434.60i | −0.0173178 | − | 0.469238i | ||||
\(448\) | −24109.1 | −2.54252 | ||||||||
\(449\) | 6493.80i | 0.682542i | 0.939965 | + | 0.341271i | \(0.110857\pi\) | ||||
−0.939965 | + | 0.341271i | \(0.889143\pi\) | |||||||
\(450\) | 11638.7 | − | 860.251i | 1.21923 | − | 0.0901169i | ||||
\(451\) | 15776.3i | 1.64718i | ||||||||
\(452\) | 4328.06 | 0.450387 | ||||||||
\(453\) | 7916.18 | − | 292.156i | 0.821048 | − | 0.0303017i | ||||
\(454\) | 13127.8 | 1.35709 | ||||||||
\(455\) | −10812.1 | −1.11402 | ||||||||
\(456\) | 155.571 | + | 4215.32i | 0.0159765 | + | 0.432896i | ||||
\(457\) | 4963.65i | 0.508074i | 0.967195 | + | 0.254037i | \(0.0817585\pi\) | ||||
−0.967195 | + | 0.254037i | \(0.918242\pi\) | |||||||
\(458\) | − | 25326.8i | − | 2.58394i | ||||||
\(459\) | −5334.24 | + | 592.753i | −0.542443 | + | 0.0602774i | ||||
\(460\) | − | 3125.64i | − | 0.316812i | ||||||
\(461\) | − | 3552.52i | − | 0.358910i | −0.983766 | − | 0.179455i | \(-0.942567\pi\) | ||
0.983766 | − | 0.179455i | \(-0.0574334\pi\) | |||||||
\(462\) | 993.474 | + | 26918.9i | 0.100045 | + | 2.71078i | ||||
\(463\) | 2281.21i | 0.228978i | 0.993425 | + | 0.114489i | \(0.0365231\pi\) | ||||
−0.993425 | + | 0.114489i | \(0.963477\pi\) | |||||||
\(464\) | 6612.36i | 0.661576i | ||||||||
\(465\) | −21.4011 | − | 579.879i | −0.00213431 | − | 0.0578307i | ||||
\(466\) | −4644.82 | −0.461732 | ||||||||
\(467\) | −16620.8 | −1.64694 | −0.823468 | − | 0.567363i | \(-0.807964\pi\) | ||||
−0.823468 | + | 0.567363i | \(0.807964\pi\) | |||||||
\(468\) | 1427.66 | + | 19315.5i | 0.141012 | + | 1.90782i | ||||
\(469\) | 25557.9i | 2.51632i | ||||||||
\(470\) | 1913.33i | 0.187777i | ||||||||
\(471\) | 6562.58 | − | 242.199i | 0.642012 | − | 0.0236942i | ||||
\(472\) | −3210.62 | + | 3324.82i | −0.313095 | + | 0.324232i | ||||
\(473\) | − | 16317.2i | − | 1.58619i | ||||||
\(474\) | 231.911 | + | 6283.81i | 0.0224726 | + | 0.608913i | ||||
\(475\) | −8025.27 | −0.775210 | ||||||||
\(476\) | − | 12632.5i | − | 1.21641i | ||||||
\(477\) | −8.60903 | − | 116.475i | −0.000826374 | − | 0.0111804i | ||||
\(478\) | 3387.53i | 0.324146i | ||||||||
\(479\) | 5318.13i | 0.507289i | 0.967298 | + | 0.253645i | \(0.0816293\pi\) | ||||
−0.967298 | + | 0.253645i | \(0.918371\pi\) | |||||||
\(480\) | 6385.73 | − | 235.672i | 0.607223 | − | 0.0224103i | ||||
\(481\) | −13672.0 | −1.29603 | ||||||||
\(482\) | −479.612 | −0.0453231 | ||||||||
\(483\) | 373.440 | + | 10118.6i | 0.0351803 | + | 0.953239i | ||||
\(484\) | 1178.55 | 0.110683 | ||||||||
\(485\) | −7081.59 | −0.663007 | ||||||||
\(486\) | −2978.35 | − | 15963.9i | −0.277985 | − | 1.49000i | ||||
\(487\) | 13000.8 | 1.20970 | 0.604851 | − | 0.796339i | \(-0.293233\pi\) | ||||
0.604851 | + | 0.796339i | \(0.293233\pi\) | |||||||
\(488\) | 2354.81i | 0.218437i | ||||||||
\(489\) | 598.465 | + | 16215.9i | 0.0553446 | + | 1.49960i | ||||
\(490\) | 14107.3i | 1.30062i | ||||||||
\(491\) | − | 16541.6i | − | 1.52039i | −0.649692 | − | 0.760197i | \(-0.725102\pi\) | ||
0.649692 | − | 0.760197i | \(-0.274898\pi\) | |||||||
\(492\) | 22370.7 | − | 825.615i | 2.04989 | − | 0.0756537i | ||||
\(493\) | −6435.15 | −0.587879 | ||||||||
\(494\) | − | 23584.5i | − | 2.14801i | ||||||
\(495\) | −371.930 | − | 5032.00i | −0.0337717 | − | 0.456912i | ||||
\(496\) | 892.788i | 0.0808213i | ||||||||
\(497\) | 19307.8i | 1.74260i | ||||||||
\(498\) | 308.906 | + | 8370.06i | 0.0277960 | + | 0.753155i | ||||
\(499\) | 123.162 | 0.0110491 | 0.00552454 | − | 0.999985i | \(-0.498241\pi\) | ||||
0.00552454 | + | 0.999985i | \(0.498241\pi\) | |||||||
\(500\) | − | 11524.4i | − | 1.03077i | ||||||
\(501\) | −4639.63 | + | 171.231i | −0.413739 | + | 0.0152695i | ||||
\(502\) | − | 13971.8i | − | 1.24222i | ||||||
\(503\) | 3911.31 | 0.346713 | 0.173356 | − | 0.984859i | \(-0.444539\pi\) | ||||
0.173356 | + | 0.984859i | \(0.444539\pi\) | |||||||
\(504\) | 8737.23 | − | 645.794i | 0.772197 | − | 0.0570753i | ||||
\(505\) | − | 2507.50i | − | 0.220955i | ||||||
\(506\) | 9979.72 | 0.876784 | ||||||||
\(507\) | −494.401 | − | 13396.2i | −0.0433079 | − | 1.17346i | ||||
\(508\) | −7671.44 | −0.670010 | ||||||||
\(509\) | −5694.55 | −0.495887 | −0.247943 | − | 0.968775i | \(-0.579755\pi\) | ||||
−0.247943 | + | 0.968775i | \(0.579755\pi\) | |||||||
\(510\) | 154.536 | + | 4187.28i | 0.0134176 | + | 0.363560i | ||||
\(511\) | − | 23011.0i | − | 1.99207i | ||||||
\(512\) | −13038.7 | −1.12546 | ||||||||
\(513\) | 1233.33 | + | 11098.8i | 0.106145 | + | 0.955214i | ||||
\(514\) | − | 14895.6i | − | 1.27824i | ||||||
\(515\) | −6906.11 | −0.590911 | ||||||||
\(516\) | −23137.7 | + | 853.924i | −1.97399 | + | 0.0728525i | ||||
\(517\) | −3449.87 | −0.293472 | ||||||||
\(518\) | 26981.5i | 2.28861i | ||||||||
\(519\) | −860.012 | − | 23302.7i | −0.0727366 | − | 1.97086i | ||||
\(520\) | 3465.87 | 0.292285 | ||||||||
\(521\) | 4865.16i | 0.409111i | 0.978855 | + | 0.204555i | \(0.0655748\pi\) | ||||
−0.978855 | + | 0.204555i | \(0.934425\pi\) | |||||||
\(522\) | −1435.25 | − | 19418.1i | −0.120343 | − | 1.62818i | ||||
\(523\) | 14048.1 | 1.17454 | 0.587268 | − | 0.809392i | \(-0.300203\pi\) | ||||
0.587268 | + | 0.809392i | \(0.300203\pi\) | |||||||
\(524\) | −15753.9 | −1.31339 | ||||||||
\(525\) | 614.742 | + | 16656.9i | 0.0511039 | + | 1.38470i | ||||
\(526\) | 26612.6i | 2.20602i | ||||||||
\(527\) | −868.861 | −0.0718182 | ||||||||
\(528\) | 286.313 | + | 7757.88i | 0.0235988 | + | 0.639429i | ||||
\(529\) | −8415.69 | −0.691682 | ||||||||
\(530\) | −91.1815 | −0.00747297 | ||||||||
\(531\) | −7827.77 | + | 9404.64i | −0.639729 | + | 0.768600i | ||||
\(532\) | −26284.2 | −2.14204 | ||||||||
\(533\) | −28688.6 | −2.33141 | ||||||||
\(534\) | −1187.91 | − | 32187.4i | −0.0962659 | − | 2.60840i | ||||
\(535\) | 3302.59 | 0.266885 | ||||||||
\(536\) | − | 8192.74i | − | 0.660210i | ||||||
\(537\) | 480.651 | + | 13023.6i | 0.0386250 | + | 1.04657i | ||||
\(538\) | −4194.13 | −0.336100 | ||||||||
\(539\) | −25436.5 | −2.03270 | ||||||||
\(540\) | −7115.87 | + | 790.731i | −0.567071 | + | 0.0630141i | ||||
\(541\) | 5515.05i | 0.438282i | 0.975693 | + | 0.219141i | \(0.0703254\pi\) | ||||
−0.975693 | + | 0.219141i | \(0.929675\pi\) | |||||||
\(542\) | 21875.1 | 1.73361 | ||||||||
\(543\) | −6.26115 | − | 169.651i | −0.000494829 | − | 0.0134078i | ||||
\(544\) | − | 9568.04i | − | 0.754092i | ||||||
\(545\) | 7808.14 | 0.613695 | ||||||||
\(546\) | −48951.1 | + | 1806.59i | −3.83684 | + | 0.141603i | ||||
\(547\) | 5840.48 | 0.456528 | 0.228264 | − | 0.973599i | \(-0.426695\pi\) | ||||
0.228264 | + | 0.973599i | \(0.426695\pi\) | |||||||
\(548\) | − | 4677.58i | − | 0.364628i | ||||||
\(549\) | 459.525 | + | 6217.11i | 0.0357232 | + | 0.483315i | ||||
\(550\) | 16428.2 | 1.27364 | ||||||||
\(551\) | 13389.4i | 1.03523i | ||||||||
\(552\) | −119.708 | − | 3243.59i | −0.00923030 | − | 0.250102i | ||||
\(553\) | −8980.92 | −0.690610 | ||||||||
\(554\) | 16392.2 | 1.25711 | ||||||||
\(555\) | −186.397 | − | 5050.57i | −0.0142561 | − | 0.386279i | ||||
\(556\) | 7611.74 | 0.580593 | ||||||||
\(557\) | − | 7717.58i | − | 0.587082i | −0.955947 | − | 0.293541i | \(-0.905166\pi\) | ||
0.955947 | − | 0.293541i | \(-0.0948337\pi\) | |||||||
\(558\) | −193.785 | − | 2621.80i | −0.0147017 | − | 0.198906i | ||||
\(559\) | 29672.3 | 2.24509 | ||||||||
\(560\) | 6149.33i | 0.464030i | ||||||||
\(561\) | −7549.96 | + | 278.640i | −0.568199 | + | 0.0209700i | ||||
\(562\) | 12858.7i | 0.965149i | ||||||||
\(563\) | 16512.6 | 1.23609 | 0.618047 | − | 0.786141i | \(-0.287924\pi\) | ||||
0.618047 | + | 0.786141i | \(0.287924\pi\) | |||||||
\(564\) | 180.541 | + | 4891.89i | 0.0134790 | + | 0.365223i | ||||
\(565\) | − | 2050.37i | − | 0.152672i | ||||||
\(566\) | 17160.6i | 1.27441i | ||||||||
\(567\) | 22941.8 | − | 3410.02i | 1.69923 | − | 0.252570i | ||||
\(568\) | − | 6189.22i | − | 0.457207i | ||||||
\(569\) | 7065.54 | 0.520567 | 0.260284 | − | 0.965532i | \(-0.416184\pi\) | ||||
0.260284 | + | 0.965532i | \(0.416184\pi\) | |||||||
\(570\) | 8712.36 | − | 321.540i | 0.640212 | − | 0.0236277i | ||||
\(571\) | − | 9513.95i | − | 0.697279i | −0.937257 | − | 0.348640i | \(-0.886644\pi\) | ||
0.937257 | − | 0.348640i | \(-0.113356\pi\) | |||||||
\(572\) | 27264.1i | 1.99295i | ||||||||
\(573\) | −708.385 | − | 19194.2i | −0.0516461 | − | 1.39939i | ||||
\(574\) | 56616.6i | 4.11695i | ||||||||
\(575\) | 6175.25 | 0.447871 | ||||||||
\(576\) | 20404.1 | − | 1508.13i | 1.47599 | − | 0.109095i | ||||
\(577\) | 9897.10 | 0.714075 | 0.357038 | − | 0.934090i | \(-0.383787\pi\) | ||||
0.357038 | + | 0.934090i | \(0.383787\pi\) | |||||||
\(578\) | −14788.4 | −1.06421 | ||||||||
\(579\) | 397.746 | + | 10777.2i | 0.0285488 | + | 0.773551i | ||||
\(580\) | −8584.47 | −0.614570 | ||||||||
\(581\) | −11962.6 | −0.854205 | ||||||||
\(582\) | −32061.5 | + | 1183.27i | −2.28349 | + | 0.0842750i | ||||
\(583\) | − | 164.407i | − | 0.0116793i | ||||||
\(584\) | 7376.30i | 0.522660i | ||||||||
\(585\) | 9150.49 | − | 676.340i | 0.646712 | − | 0.0478004i | ||||
\(586\) | 21477.0i | 1.51401i | ||||||||
\(587\) | 10651.2 | 0.748934 | 0.374467 | − | 0.927240i | \(-0.377826\pi\) | ||||
0.374467 | + | 0.927240i | \(0.377826\pi\) | |||||||
\(588\) | 1331.16 | + | 36068.7i | 0.0933606 | + | 2.52968i | ||||
\(589\) | 1807.82i | 0.126468i | ||||||||
\(590\) | 6871.85 | + | 6635.81i | 0.479508 | + | 0.463037i | ||||
\(591\) | −22643.6 | + | 835.689i | −1.57603 | + | 0.0581652i | ||||
\(592\) | 7775.91i | 0.539844i | ||||||||
\(593\) | − | 2803.21i | − | 0.194122i | −0.995278 | − | 0.0970608i | \(-0.969056\pi\) | ||
0.995278 | − | 0.0970608i | \(-0.0309441\pi\) | |||||||
\(594\) | −2524.69 | − | 22720.0i | −0.174393 | − | 1.56938i | ||||
\(595\) | −5984.53 | −0.412339 | ||||||||
\(596\) | −8863.84 | −0.609190 | ||||||||
\(597\) | −657.654 | − | 17819.7i | −0.0450854 | − | 1.22162i | ||||
\(598\) | 18147.7i | 1.24100i | ||||||||
\(599\) | 16913.9i | 1.15373i | 0.816840 | + | 0.576864i | \(0.195724\pi\) | ||||
−0.816840 | + | 0.576864i | \(0.804276\pi\) | |||||||
\(600\) | −197.059 | − | 5339.47i | −0.0134082 | − | 0.363305i | ||||
\(601\) | 27268.4i | 1.85075i | 0.379050 | + | 0.925376i | \(0.376251\pi\) | ||||
−0.379050 | + | 0.925376i | \(0.623749\pi\) | |||||||
\(602\) | − | 58557.9i | − | 3.96452i | ||||||
\(603\) | −1598.75 | − | 21630.2i | −0.107971 | − | 1.46078i | ||||
\(604\) | − | 15822.8i | − | 1.06593i | ||||||
\(605\) | − | 558.325i | − | 0.0375192i | ||||||
\(606\) | −418.980 | − | 11352.6i | −0.0280857 | − | 0.761002i | ||||
\(607\) | −9888.87 | −0.661247 | −0.330624 | − | 0.943763i | \(-0.607259\pi\) | ||||
−0.330624 | + | 0.943763i | \(0.607259\pi\) | |||||||
\(608\) | −19908.0 | −1.32792 | ||||||||
\(609\) | 27790.6 | − | 1025.64i | 1.84915 | − | 0.0682449i | ||||
\(610\) | 4867.00 | 0.323048 | ||||||||
\(611\) | − | 6273.46i | − | 0.415380i | ||||||
\(612\) | 790.219 | + | 10691.2i | 0.0521939 | + | 0.706154i | ||||
\(613\) | 16594.8i | 1.09341i | 0.837327 | + | 0.546703i | \(0.184117\pi\) | ||||
−0.837327 | + | 0.546703i | \(0.815883\pi\) | |||||||
\(614\) | 22712.0 | 1.49280 | ||||||||
\(615\) | −391.126 | − | 10597.9i | −0.0256451 | − | 0.694873i | ||||
\(616\) | 12332.7 | 0.806656 | ||||||||
\(617\) | 4880.08i | 0.318419i | 0.987245 | + | 0.159210i | \(0.0508946\pi\) | ||||
−0.987245 | + | 0.159210i | \(0.949105\pi\) | |||||||
\(618\) | −31267.1 | + | 1153.95i | −2.03519 | + | 0.0751109i | ||||
\(619\) | 16459.3 | 1.06875 | 0.534373 | − | 0.845249i | \(-0.320548\pi\) | ||||
0.534373 | + | 0.845249i | \(0.320548\pi\) | |||||||
\(620\) | −1159.06 | −0.0750789 | ||||||||
\(621\) | −949.015 | − | 8540.28i | −0.0613247 | − | 0.551867i | ||||
\(622\) | − | 34530.0i | − | 2.22593i | ||||||
\(623\) | 46002.7 | 2.95836 | ||||||||
\(624\) | −14107.4 | + | 520.650i | −0.905045 | + | 0.0334017i | ||||
\(625\) | 7143.45 | 0.457181 | ||||||||
\(626\) | 16428.5i | 1.04890i | ||||||||
\(627\) | 579.759 | + | 15709.0i | 0.0369272 | + | 1.00057i | ||||
\(628\) | − | 13117.2i | − | 0.833494i | ||||||
\(629\) | −7567.51 | −0.479708 | ||||||||
\(630\) | −1334.75 | − | 18058.4i | −0.0844090 | − | 1.14201i | ||||
\(631\) | 7718.51 | 0.486956 | 0.243478 | − | 0.969906i | \(-0.421712\pi\) | ||||
0.243478 | + | 0.969906i | \(0.421712\pi\) | |||||||
\(632\) | 2878.89 | 0.181196 | ||||||||
\(633\) | 4811.64 | − | 177.579i | 0.302125 | − | 0.0111503i | ||||
\(634\) | − | 25090.3i | − | 1.57171i | ||||||
\(635\) | 3634.26i | 0.227120i | ||||||||
\(636\) | −233.128 | + | 8.60384i | −0.0145348 | + | 0.000536422i | ||||
\(637\) | − | 46255.3i | − | 2.87708i | ||||||
\(638\) | − | 27409.0i | − | 1.70084i | ||||||
\(639\) | −1207.78 | − | 16340.6i | −0.0747717 | − | 1.01162i | ||||
\(640\) | − | 6134.96i | − | 0.378915i | ||||||
\(641\) | − | 18008.9i | − | 1.10969i | −0.831955 | − | 0.554843i | \(-0.812778\pi\) | ||
0.831955 | − | 0.554843i | \(-0.187222\pi\) | |||||||
\(642\) | 14952.3 | − | 551.833i | 0.919192 | − | 0.0339238i | ||||
\(643\) | −4243.70 | −0.260272 | −0.130136 | − | 0.991496i | \(-0.541541\pi\) | ||||
−0.130136 | + | 0.991496i | \(0.541541\pi\) | |||||||
\(644\) | 20225.1 | 1.23755 | ||||||||
\(645\) | 404.537 | + | 10961.2i | 0.0246955 | + | 0.669145i | ||||
\(646\) | − | 13054.2i | − | 0.795060i | ||||||
\(647\) | 17795.9i | 1.08134i | 0.841233 | + | 0.540672i | \(0.181830\pi\) | ||||
−0.841233 | + | 0.540672i | \(0.818170\pi\) | |||||||
\(648\) | −7354.12 | + | 1093.10i | −0.445829 | + | 0.0662671i | ||||
\(649\) | −11964.8 | + | 12390.4i | −0.723669 | + | 0.749411i | ||||
\(650\) | 29874.1i | 1.80271i | ||||||||
\(651\) | 3752.23 | − | 138.480i | 0.225901 | − | 0.00833713i | ||||
\(652\) | 32412.1 | 1.94687 | ||||||||
\(653\) | − | 23188.2i | − | 1.38963i | −0.719190 | − | 0.694813i | \(-0.755487\pi\) | ||
0.719190 | − | 0.694813i | \(-0.244513\pi\) | |||||||
\(654\) | 35351.0 | − | 1304.67i | 2.11366 | − | 0.0780070i | ||||
\(655\) | 7463.25i | 0.445211i | ||||||||
\(656\) | 16316.6i | 0.971120i | ||||||||
\(657\) | 1439.43 | + | 19474.7i | 0.0854759 | + | 1.15644i | ||||
\(658\) | −12380.6 | −0.733505 | ||||||||
\(659\) | 17654.2 | 1.04356 | 0.521782 | − | 0.853079i | \(-0.325268\pi\) | ||||
0.521782 | + | 0.853079i | \(0.325268\pi\) | |||||||
\(660\) | −10071.6 | + | 371.705i | −0.593997 | + | 0.0219221i | ||||
\(661\) | 26614.0 | 1.56606 | 0.783028 | − | 0.621986i | \(-0.213674\pi\) | ||||
0.783028 | + | 0.621986i | \(0.213674\pi\) | |||||||
\(662\) | 37293.2 | 2.18949 | ||||||||
\(663\) | −506.696 | − | 13729.3i | −0.0296809 | − | 0.804227i | ||||
\(664\) | 3834.69 | 0.224119 | ||||||||
\(665\) | 12451.8i | 0.726108i | ||||||||
\(666\) | −1687.81 | − | 22835.1i | −0.0982000 | − | 1.32859i | ||||
\(667\) | − | 10302.9i | − | 0.598094i | ||||||
\(668\) | 9273.65i | 0.537138i | ||||||||
\(669\) | 783.879 | + | 21239.8i | 0.0453012 | + | 1.22747i | ||||
\(670\) | −16933.0 | −0.976387 | ||||||||
\(671\) | 8775.55i | 0.504883i | ||||||||
\(672\) | 1524.97 | + | 41320.1i | 0.0875400 | + | 2.37196i | ||||
\(673\) | 8452.89i | 0.484153i | 0.970257 | + | 0.242077i | \(0.0778285\pi\) | ||||
−0.970257 | + | 0.242077i | \(0.922171\pi\) | |||||||
\(674\) | − | 44720.3i | − | 2.55573i | ||||||
\(675\) | −1562.23 | − | 14058.7i | −0.0890819 | − | 0.801657i | ||||
\(676\) | −26776.2 | −1.52345 | ||||||||
\(677\) | − | 18022.6i | − | 1.02314i | −0.859243 | − | 0.511568i | \(-0.829065\pi\) | ||
0.859243 | − | 0.511568i | \(-0.170935\pi\) | |||||||
\(678\) | −342.598 | − | 9282.96i | −0.0194062 | − | 0.525826i | ||||
\(679\) | − | 45822.9i | − | 2.58987i | ||||||
\(680\) | 1918.37 | 0.108186 | ||||||||
\(681\) | −586.836 | − | 15900.8i | −0.0330215 | − | 0.894742i | ||||
\(682\) | − | 3700.71i | − | 0.207782i | ||||||
\(683\) | −9737.81 | −0.545545 | −0.272772 | − | 0.962079i | \(-0.587941\pi\) | ||||
−0.272772 | + | 0.962079i | \(0.587941\pi\) | |||||||
\(684\) | 22244.9 | − | 1644.19i | 1.24350 | − | 0.0919109i | ||||
\(685\) | −2215.95 | −0.123602 | ||||||||
\(686\) | −44500.0 | −2.47670 | ||||||||
\(687\) | −30676.6 | + | 1132.15i | −1.70362 | + | 0.0628739i | ||||
\(688\) | − | 16876.0i | − | 0.935164i | ||||||
\(689\) | 298.968 | 0.0165308 | ||||||||
\(690\) | −6703.96 | + | 247.417i | −0.369877 | + | 0.0136507i | ||||
\(691\) | 634.088i | 0.0349086i | 0.999848 | + | 0.0174543i | \(0.00555616\pi\) | ||||
−0.999848 | + | 0.0174543i | \(0.994444\pi\) | |||||||
\(692\) | −46577.2 | −2.55867 | ||||||||
\(693\) | 32560.6 | − | 2406.65i | 1.78481 | − | 0.131921i | ||||
\(694\) | −39976.4 | −2.18658 | ||||||||
\(695\) | − | 3605.97i | − | 0.196809i | ||||||
\(696\) | −8908.43 | + | 328.776i | −0.485163 | + | 0.0179055i | ||||
\(697\) | −15879.3 | −0.862942 | ||||||||
\(698\) | 30311.1i | 1.64368i | ||||||||
\(699\) | 207.631 | + | 5625.93i | 0.0112351 | + | 0.304424i | ||||
\(700\) | 33293.7 | 1.79769 | ||||||||
\(701\) | 20373.9 | 1.09773 | 0.548867 | − | 0.835910i | \(-0.315059\pi\) | ||||
0.548867 | + | 0.835910i | \(0.315059\pi\) | |||||||
\(702\) | 41315.4 | − | 4591.06i | 2.22130 | − | 0.246835i | ||||
\(703\) | 15745.5i | 0.844742i | ||||||||
\(704\) | 28800.7 | 1.54186 | ||||||||
\(705\) | 2317.48 | − | 85.5292i | 0.123803 | − | 0.00456910i | ||||
\(706\) | 16664.1 | 0.888331 | ||||||||
\(707\) | 16225.3 | 0.863105 | ||||||||
\(708\) | 18195.7 | + | 16317.6i | 0.965871 | + | 0.866178i | ||||
\(709\) | 4574.90 | 0.242333 | 0.121166 | − | 0.992632i | \(-0.461337\pi\) | ||||
0.121166 | + | 0.992632i | \(0.461337\pi\) | |||||||
\(710\) | −12792.1 | −0.676166 | ||||||||
\(711\) | 7600.76 | − | 561.794i | 0.400915 | − | 0.0296328i | ||||
\(712\) | −14746.4 | −0.776189 | ||||||||
\(713\) | − | 1391.07i | − | 0.0730660i | ||||||
\(714\) | −27094.6 | + | 999.959i | −1.42016 | + | 0.0524125i | ||||
\(715\) | 12916.1 | 0.675571 | ||||||||
\(716\) | 26031.5 | 1.35872 | ||||||||
\(717\) | 4103.07 | − | 151.428i | 0.213712 | − | 0.00788730i | ||||
\(718\) | 22569.3i | 1.17309i | ||||||||
\(719\) | −21858.7 | −1.13379 | −0.566894 | − | 0.823791i | \(-0.691855\pi\) | ||||
−0.566894 | + | 0.823791i | \(0.691855\pi\) | |||||||
\(720\) | −384.666 | − | 5204.32i | −0.0199107 | − | 0.269380i | ||||
\(721\) | − | 44687.4i | − | 2.30825i | ||||||
\(722\) | 2243.58 | 0.115647 | ||||||||
\(723\) | 21.4395 | + | 580.919i | 0.00110283 | + | 0.0298819i | ||||
\(724\) | −339.097 | −0.0174067 | ||||||||
\(725\) | − | 16960.2i | − | 0.868807i | ||||||
\(726\) | −93.2909 | − | 2527.79i | −0.00476908 | − | 0.129222i | ||||
\(727\) | −34829.9 | −1.77685 | −0.888424 | − | 0.459024i | \(-0.848199\pi\) | ||||
−0.888424 | + | 0.459024i | \(0.848199\pi\) | |||||||
\(728\) | 22426.6i | 1.14174i | ||||||||
\(729\) | −19202.8 | + | 4321.08i | −0.975605 | + | 0.219534i | ||||
\(730\) | 15245.6 | 0.772965 | ||||||||
\(731\) | 16423.7 | 0.830991 | ||||||||
\(732\) | 12443.7 | − | 459.247i | 0.628321 | − | 0.0231889i | ||||
\(733\) | 5419.55 | 0.273091 | 0.136545 | − | 0.990634i | \(-0.456400\pi\) | ||||
0.136545 | + | 0.990634i | \(0.456400\pi\) | |||||||
\(734\) | 22532.0i | 1.13307i | ||||||||
\(735\) | 17087.2 | − | 630.621i | 0.857510 | − | 0.0316474i | ||||
\(736\) | 15318.7 | 0.767195 | ||||||||
\(737\) | − | 30531.4i | − | 1.52597i | ||||||
\(738\) | −3541.61 | − | 47915.9i | −0.176651 | − | 2.38999i | ||||
\(739\) | 3453.34i | 0.171899i | 0.996300 | + | 0.0859493i | \(0.0273923\pi\) | ||||
−0.996300 | + | 0.0859493i | \(0.972608\pi\) | |||||||
\(740\) | −10095.0 | −0.501488 | ||||||||
\(741\) | −28566.2 | + | 1054.27i | −1.41620 | + | 0.0522666i | ||||
\(742\) | − | 590.009i | − | 0.0291912i | ||||||
\(743\) | 12096.3i | 0.597267i | 0.954368 | + | 0.298633i | \(0.0965308\pi\) | ||||
−0.954368 | + | 0.298633i | \(0.903469\pi\) | |||||||
\(744\) | −1202.80 | + | 44.3906i | −0.0592698 | + | 0.00218742i | ||||
\(745\) | 4199.15i | 0.206503i | ||||||||
\(746\) | −4022.10 | −0.197399 | ||||||||
\(747\) | 10124.2 | − | 748.312i | 0.495885 | − | 0.0366523i | ||||
\(748\) | 15090.8i | 0.737667i | ||||||||
\(749\) | 21370.1i | 1.04252i | ||||||||
\(750\) | −24717.8 | + | 912.238i | −1.20342 | + | 0.0444136i | ||||
\(751\) | − | 537.734i | − | 0.0261281i | −0.999915 | − | 0.0130640i | \(-0.995841\pi\) | ||
0.999915 | − | 0.0130640i | \(-0.00415853\pi\) | |||||||
\(752\) | −3568.01 | −0.173021 | ||||||||
\(753\) | −16923.1 | + | 624.565i | −0.819005 | + | 0.0302263i | ||||
\(754\) | 49842.3 | 2.40736 | ||||||||
\(755\) | −7495.88 | −0.361328 | ||||||||
\(756\) | −5116.58 | − | 46044.7i | −0.246149 | − | 2.21512i | ||||
\(757\) | 12016.6 | 0.576951 | 0.288476 | − | 0.957487i | \(-0.406852\pi\) | ||||
0.288476 | + | 0.957487i | \(0.406852\pi\) | |||||||
\(758\) | 4886.77 | 0.234163 | ||||||||
\(759\) | −446.111 | − | 12087.7i | −0.0213344 | − | 0.578071i | ||||
\(760\) | − | 3991.51i | − | 0.190510i | ||||||
\(761\) | 26602.2i | 1.26719i | 0.773666 | + | 0.633593i | \(0.218421\pi\) | ||||
−0.773666 | + | 0.633593i | \(0.781579\pi\) | |||||||
\(762\) | 607.251 | + | 16453.9i | 0.0288693 | + | 0.782235i | ||||
\(763\) | 50524.2i | 2.39725i | ||||||||
\(764\) | −38365.3 | −1.81676 | ||||||||
\(765\) | 5064.84 | − | 374.357i | 0.239372 | − | 0.0176927i | ||||
\(766\) | − | 43108.4i | − | 2.03338i | ||||||
\(767\) | −22531.6 | − | 21757.6i | −1.06071 | − | 1.02428i | ||||
\(768\) | 136.651 | + | 3702.66i | 0.00642052 | + | 0.173969i | ||||
\(769\) | 18705.9i | 0.877183i | 0.898687 | + | 0.438591i | \(0.144522\pi\) | ||||
−0.898687 | + | 0.438591i | \(0.855478\pi\) | |||||||
\(770\) | − | 25489.7i | − | 1.19297i | ||||||
\(771\) | −18042.0 | + | 665.859i | −0.842757 | + | 0.0311029i | ||||
\(772\) | 21541.4 | 1.00427 | ||||||||
\(773\) | 31143.8 | 1.44911 | 0.724556 | − | 0.689216i | \(-0.242045\pi\) | ||||
0.724556 | + | 0.689216i | \(0.242045\pi\) | |||||||
\(774\) | 3663.04 | + | 49558.9i | 0.170110 | + | 2.30149i | ||||
\(775\) | − | 2289.93i | − | 0.106138i | ||||||
\(776\) | 14688.8i | 0.679506i | ||||||||
\(777\) | 32680.7 | − | 1206.12i | 1.50890 | − | 0.0556877i | ||||
\(778\) | 17846.0i | 0.822376i | ||||||||
\(779\) | 33039.6i | 1.51960i | ||||||||
\(780\) | −675.931 | − | 18314.9i | −0.0310285 | − | 0.840741i | ||||
\(781\) | − | 23065.0i | − | 1.05676i | ||||||
\(782\) | 10044.9i | 0.459339i | ||||||||
\(783\) | −23455.6 | + | 2606.44i | −1.07054 | + | 0.118961i | ||||
\(784\) | −26307.6 | −1.19841 | ||||||||
\(785\) | −6214.14 | −0.282538 | ||||||||
\(786\) | 1247.04 | + | 33789.5i | 0.0565909 | + | 1.53337i | ||||
\(787\) | −39406.0 | −1.78484 | −0.892421 | − | 0.451203i | \(-0.850995\pi\) | ||||
−0.892421 | + | 0.451203i | \(0.850995\pi\) | |||||||
\(788\) | 45259.9i | 2.04609i | ||||||||
\(789\) | 32234.0 | − | 1189.63i | 1.45445 | − | 0.0536781i | ||||
\(790\) | − | 5950.17i | − | 0.267972i | ||||||
\(791\) | 13267.4 | 0.596375 | ||||||||
\(792\) | −10437.5 | + | 771.465i | −0.468282 | + | 0.0346121i | ||||
\(793\) | −15958.0 | −0.714609 | ||||||||
\(794\) | 10330.1i | 0.461714i | ||||||||
\(795\) | 4.07597 | + | 110.442i | 0.000181836 | + | 0.00492699i | ||||
\(796\) | −35617.8 | −1.58598 | ||||||||
\(797\) | −11541.1 | −0.512933 | −0.256467 | − | 0.966553i | \(-0.582558\pi\) | ||||
−0.256467 | + | 0.966553i | \(0.582558\pi\) | |||||||
\(798\) | 2080.59 | + | 56375.1i | 0.0922957 | + | 2.50082i | ||||
\(799\) | − | 3472.39i | − | 0.153748i | ||||||
\(800\) | 25217.1 | 1.11445 | ||||||||
\(801\) | −38933.2 | + | 2877.67i | −1.71740 | + | 0.126938i | ||||
\(802\) | −50167.3 | −2.20881 | ||||||||
\(803\) | 27488.9i | 1.20805i | ||||||||
\(804\) | −43293.3 | + | 1597.79i | −1.89905 | + | 0.0700867i | ||||
\(805\) | − | 9581.40i | − | 0.419503i | ||||||
\(806\) | 6729.60 | 0.294095 | ||||||||
\(807\) | 187.485 | + | 5080.05i | 0.00817817 | + | 0.221594i | ||||
\(808\) | −5201.12 | −0.226454 | ||||||||
\(809\) | −1832.54 | −0.0796400 | −0.0398200 | − | 0.999207i | \(-0.512678\pi\) | ||||
−0.0398200 | + | 0.999207i | \(0.512678\pi\) | |||||||
\(810\) | 2259.26 | + | 15199.7i | 0.0980027 | + | 0.659338i | ||||
\(811\) | 10163.2i | 0.440046i | 0.975495 | + | 0.220023i | \(0.0706133\pi\) | ||||
−0.975495 | + | 0.220023i | \(0.929387\pi\) | |||||||
\(812\) | − | 55547.6i | − | 2.40066i | ||||||
\(813\) | −977.856 | − | 26495.8i | −0.0421832 | − | 1.14299i | ||||
\(814\) | − | 32232.1i | − | 1.38788i | ||||||
\(815\) | − | 15354.9i | − | 0.659949i | ||||||
\(816\) | −7808.51 | + | 288.182i | −0.334991 | + | 0.0123632i | ||||
\(817\) | − | 34172.5i | − | 1.46333i | ||||||
\(818\) | 28652.8i | 1.22472i | ||||||||
\(819\) | 4376.40 | + | 59210.1i | 0.186720 | + | 2.52621i | ||||
\(820\) | −21182.9 | −0.902121 | ||||||||
\(821\) | −34902.7 | −1.48369 | −0.741846 | − | 0.670570i | \(-0.766049\pi\) | ||||
−0.741846 | + | 0.670570i | \(0.766049\pi\) | |||||||
\(822\) | −10032.6 | + | 370.265i | −0.425702 | + | 0.0157110i | ||||
\(823\) | 1431.64i | 0.0606367i | 0.999540 | + | 0.0303183i | \(0.00965210\pi\) | ||||
−0.999540 | + | 0.0303183i | \(0.990348\pi\) | |||||||
\(824\) | 14324.8i | 0.605617i | ||||||||
\(825\) | −734.370 | − | 19898.3i | −0.0309909 | − | 0.839722i | ||||
\(826\) | −42938.4 | + | 44465.7i | −1.80874 | + | 1.87308i | ||||
\(827\) | 24876.0i | 1.04598i | 0.852340 | + | 0.522988i | \(0.175183\pi\) | ||||
−0.852340 | + | 0.522988i | \(0.824817\pi\) | |||||||
\(828\) | −17116.9 | + | 1265.16i | −0.718423 | + | 0.0531008i | ||||
\(829\) | 4624.42 | 0.193743 | 0.0968713 | − | 0.995297i | \(-0.469116\pi\) | ||||
0.0968713 | + | 0.995297i | \(0.469116\pi\) | |||||||
\(830\) | − | 7925.65i | − | 0.331450i | ||||||
\(831\) | −732.759 | − | 19854.7i | −0.0305886 | − | 0.828822i | ||||
\(832\) | 52372.9i | 2.18234i | ||||||||
\(833\) | − | 25602.5i | − | 1.06492i | ||||||
\(834\) | −602.525 | − | 16325.9i | −0.0250165 | − | 0.677840i | ||||
\(835\) | 4393.29 | 0.182079 | ||||||||
\(836\) | 31399.1 | 1.29899 | ||||||||
\(837\) | −3166.93 | + | 351.917i | −0.130783 | + | 0.0145329i | ||||
\(838\) | −7860.55 | −0.324031 | ||||||||
\(839\) | 33245.3 | 1.36801 | 0.684003 | − | 0.729479i | \(-0.260238\pi\) | ||||
0.684003 | + | 0.729479i | \(0.260238\pi\) | |||||||
\(840\) | −8284.61 | + | 305.753i | −0.340293 | + | 0.0125589i | ||||
\(841\) | −3907.53 | −0.160217 | ||||||||
\(842\) | − | 32088.4i | − | 1.31335i | ||||||
\(843\) | 15574.9 | − | 574.808i | 0.636331 | − | 0.0234845i | ||||
\(844\) | − | 9617.46i | − | 0.392235i | ||||||
\(845\) | 12684.9i | 0.516419i | ||||||||
\(846\) | 10478.0 | − | 774.459i | 0.425816 | − | 0.0314733i | ||||
\(847\) | 3612.75 | 0.146559 | ||||||||
\(848\) | − | 170.037i | − | 0.00688572i | ||||||
\(849\) | 20785.4 | − | 767.108i | 0.840227 | − | 0.0310095i | ||||
\(850\) | 16535.5i | 0.667249i | ||||||||
\(851\) | − | 12115.8i | − | 0.488043i | ||||||
\(852\) | −32706.0 | + | 1207.05i | −1.31513 | + | 0.0485363i | ||||
\(853\) | −25610.9 | −1.02802 | −0.514010 | − | 0.857784i | \(-0.671840\pi\) | ||||
−0.514010 | + | 0.857784i | \(0.671840\pi\) | |||||||
\(854\) | 31492.9i | 1.26190i | ||||||||
\(855\) | −778.915 | − | 10538.3i | −0.0311560 | − | 0.421522i | ||||
\(856\) | − | 6850.31i | − | 0.273527i | ||||||
\(857\) | 18461.1 | 0.735844 | 0.367922 | − | 0.929857i | \(-0.380069\pi\) | ||||
0.367922 | + | 0.929857i | \(0.380069\pi\) | |||||||
\(858\) | 58476.9 | − | 2158.16i | 2.32677 | − | 0.0858720i | ||||
\(859\) | − | 4556.98i | − | 0.181004i | −0.995896 | − | 0.0905019i | \(-0.971153\pi\) | ||
0.995896 | − | 0.0905019i | \(-0.0288471\pi\) | |||||||
\(860\) | 21909.2 | 0.868720 | ||||||||
\(861\) | 68575.6 | − | 2530.86i | 2.71434 | − | 0.100176i | ||||
\(862\) | −43407.7 | −1.71516 | ||||||||
\(863\) | 36757.6 | 1.44988 | 0.724939 | − | 0.688813i | \(-0.241868\pi\) | ||||
0.724939 | + | 0.688813i | \(0.241868\pi\) | |||||||
\(864\) | −3875.36 | − | 34874.8i | −0.152596 | − | 1.37322i | ||||
\(865\) | 22065.4i | 0.867338i | ||||||||
\(866\) | −23564.0 | −0.924637 | ||||||||
\(867\) | 661.066 | + | 17912.1i | 0.0258950 | + | 0.701645i | ||||
\(868\) | − | 7499.93i | − | 0.293277i | ||||||
\(869\) | 10728.6 | 0.418806 | ||||||||
\(870\) | 679.524 | + | 18412.2i | 0.0264805 | + | 0.717509i | ||||
\(871\) | 55520.2 | 2.15985 | ||||||||
\(872\) | − | 16195.8i | − | 0.628968i | ||||||
\(873\) | 2866.41 | + | 38780.9i | 0.111126 | + | 1.50348i | ||||
\(874\) | 20900.1 | 0.808874 | ||||||||
\(875\) | − | 35327.1i | − | 1.36488i | ||||||
\(876\) | 38979.0 | − | 1438.56i | 1.50340 | − | 0.0554847i | ||||
\(877\) | 5963.55 | 0.229618 | 0.114809 | − | 0.993388i | \(-0.463374\pi\) | ||||
0.114809 | + | 0.993388i | \(0.463374\pi\) | |||||||
\(878\) | −73502.7 | −2.82528 | ||||||||
\(879\) | 26013.6 | − | 960.060i | 0.998198 | − | 0.0368396i | ||||
\(880\) | − | 7345.98i | − | 0.281401i | ||||||
\(881\) | 29501.1 | 1.12817 | 0.564085 | − | 0.825717i | \(-0.309229\pi\) | ||||
0.564085 | + | 0.825717i | \(0.309229\pi\) | |||||||
\(882\) | 77255.9 | − | 5710.21i | 2.94937 | − | 0.217996i | ||||
\(883\) | 9416.96 | 0.358897 | 0.179448 | − | 0.983767i | \(-0.442569\pi\) | ||||
0.179448 | + | 0.983767i | \(0.442569\pi\) | |||||||
\(884\) | −27442.1 | −1.04409 | ||||||||
\(885\) | 7730.29 | − | 8620.01i | 0.293617 | − | 0.327411i | ||||
\(886\) | 27062.7 | 1.02617 | ||||||||
\(887\) | −24829.3 | −0.939895 | −0.469947 | − | 0.882694i | \(-0.655727\pi\) | ||||
−0.469947 | + | 0.882694i | \(0.655727\pi\) | |||||||
\(888\) | −10476.0 | + | 386.629i | −0.395892 | + | 0.0146108i | ||||
\(889\) | −23516.2 | −0.887186 | ||||||||
\(890\) | 30478.4i | 1.14791i | ||||||||
\(891\) | −27406.2 | + | 4073.60i | −1.03046 | + | 0.153166i | ||||
\(892\) | 42454.0 | 1.59357 | ||||||||
\(893\) | −7224.91 | −0.270742 | ||||||||
\(894\) | 701.638 | + | 19011.4i | 0.0262487 | + | 0.711228i | ||||
\(895\) | − | 12332.1i | − | 0.460578i | ||||||
\(896\) | 39697.5 | 1.48013 | ||||||||
\(897\) | 21981.0 | − | 811.235i | 0.818200 | − | 0.0301966i | ||||
\(898\) | − | 27839.4i | − | 1.03453i | ||||||
\(899\) | −3820.54 | −0.141738 | ||||||||
\(900\) | −28177.2 | + | 2082.66i | −1.04360 | + | 0.0771356i | ||||
\(901\) | 165.480 | 0.00611869 | ||||||||
\(902\) | − | 67634.1i | − | 2.49664i | ||||||
\(903\) | −70926.9 | + | 2617.64i | −2.61384 | + | 0.0964669i | ||||
\(904\) | −4252.93 | −0.156472 | ||||||||
\(905\) | 160.643i | 0.00590051i | ||||||||
\(906\) | −33937.2 | + | 1252.49i | −1.24447 | + | 0.0459285i | ||||
\(907\) | −19317.5 | −0.707195 | −0.353597 | − | 0.935398i | \(-0.615042\pi\) | ||||
−0.353597 | + | 0.935398i | \(0.615042\pi\) | |||||||
\(908\) | −31782.4 | −1.16160 | ||||||||
\(909\) | −13731.8 | + | 1014.96i | −0.501052 | + | 0.0370342i | ||||
\(910\) | 46352.0 | 1.68852 | ||||||||
\(911\) | 26498.5i | 0.963704i | 0.876253 | + | 0.481852i | \(0.160036\pi\) | ||||
−0.876253 | + | 0.481852i | \(0.839964\pi\) | |||||||
\(912\) | 599.613 | + | 16247.0i | 0.0217710 | + | 0.589902i | ||||
\(913\) | 14290.5 | 0.518014 | ||||||||
\(914\) | − | 21279.5i | − | 0.770092i | ||||||
\(915\) | −217.563 | − | 5895.04i | −0.00786057 | − | 0.212988i | ||||
\(916\) | 61316.1i | 2.21173i | ||||||||
\(917\) | −48292.5 | −1.73911 | ||||||||
\(918\) | 22868.3 | − | 2541.17i | 0.822184 | − | 0.0913629i | ||||
\(919\) | − | 44547.4i | − | 1.59900i | −0.600663 | − | 0.799502i | \(-0.705097\pi\) | ||
0.600663 | − | 0.799502i | \(-0.294903\pi\) | |||||||
\(920\) | 3071.37i | 0.110065i | ||||||||
\(921\) | −1015.26 | − | 27509.3i | −0.0363236 | − | 0.984217i | ||||
\(922\) | 15229.9i | 0.544003i | ||||||||
\(923\) | 41942.9 | 1.49574 | ||||||||
\(924\) | −2405.19 | − | 65170.6i | −0.0856332 | − | 2.32030i | ||||
\(925\) | − | 19944.6i | − | 0.708944i | ||||||
\(926\) | − | 9779.71i | − | 0.347064i | ||||||
\(927\) | 2795.38 | + | 37819.9i | 0.0990425 | + | 1.33999i | ||||
\(928\) | − | 42072.4i | − | 1.48825i | ||||||
\(929\) | −45566.3 | −1.60924 | −0.804619 | − | 0.593792i | \(-0.797630\pi\) | ||||
−0.804619 | + | 0.593792i | \(0.797630\pi\) | |||||||
\(930\) | 91.7480 | + | 2485.98i | 0.00323498 | + | 0.0876544i | ||||
\(931\) | −53270.5 | −1.87526 | ||||||||
\(932\) | 11245.1 | 0.395219 | ||||||||
\(933\) | −41823.7 | + | 1543.55i | −1.46757 | + | 0.0541625i | ||||
\(934\) | 71254.5 | 2.49627 | ||||||||
\(935\) | 7149.10 | 0.250054 | ||||||||
\(936\) | −1402.88 | − | 18980.2i | −0.0489899 | − | 0.662805i | ||||
\(937\) | 52834.8i | 1.84209i | 0.389459 | + | 0.921044i | \(0.372662\pi\) | ||||
−0.389459 | + | 0.921044i | \(0.627338\pi\) | |||||||
\(938\) | − | 109569.i | − | 3.81401i | ||||||
\(939\) | 19898.6 | − | 734.382i | 0.691552 | − | 0.0255225i | ||||
\(940\) | − | 4632.16i | − | 0.160728i | ||||||
\(941\) | 41325.5 | 1.43164 | 0.715819 | − | 0.698286i | \(-0.246054\pi\) | ||||
0.715819 | + | 0.698286i | \(0.246054\pi\) | |||||||
\(942\) | −28134.2 | + | 1038.33i | −0.973102 | + | 0.0359134i | ||||
\(943\) | − | 25423.2i | − | 0.877935i | ||||||
\(944\) | −12374.6 | + | 12814.8i | −0.426651 | + | 0.441827i | ||||
\(945\) | −21813.1 | + | 2423.92i | −0.750880 | + | 0.0834395i | ||||
\(946\) | 69953.2i | 2.40420i | ||||||||
\(947\) | 26210.3i | 0.899387i | 0.893183 | + | 0.449693i | \(0.148467\pi\) | ||||
−0.893183 | + | 0.449693i | \(0.851533\pi\) | |||||||
\(948\) | −561.455 | − | 15213.1i | −0.0192355 | − | 0.521199i | ||||
\(949\) | −49987.5 | −1.70987 | ||||||||
\(950\) | 34404.9 | 1.17499 | ||||||||
\(951\) | −30390.0 | + | 1121.58i | −1.03624 | + | 0.0382436i | ||||
\(952\) | 12413.2i | 0.422600i | ||||||||
\(953\) | 36104.6i | 1.22722i | 0.789608 | + | 0.613612i | \(0.210284\pi\) | ||||
−0.789608 | + | 0.613612i | \(0.789716\pi\) | |||||||
\(954\) | 36.9075 | + | 499.338i | 0.00125254 | + | 0.0169462i | ||||
\(955\) | 18175.1i | 0.615847i | ||||||||
\(956\) | − | 8201.18i | − | 0.277453i | ||||||
\(957\) | −33198.6 | + | 1225.23i | −1.12138 | + | 0.0413857i | ||||
\(958\) | − | 22799.2i | − | 0.768902i | ||||||
\(959\) | − | 14338.8i | − | 0.482818i | ||||||
\(960\) | −19347.1 | + | 714.026i | −0.650442 | + | 0.0240053i | ||||
\(961\) | 29275.2 | 0.982685 | ||||||||
\(962\) | 58612.8 | 1.96440 | ||||||||
\(963\) | −1336.79 | − | 18086.0i | −0.0447326 | − | 0.605206i | ||||
\(964\) | 1161.14 | 0.0387943 | ||||||||
\(965\) | − | 10205.0i | − | 0.340426i | ||||||
\(966\) | −1600.96 | − | 43379.3i | −0.0533231 | − | 1.44483i | ||||
\(967\) | 19301.7i | 0.641884i | 0.947099 | + | 0.320942i | \(0.103999\pi\) | ||||
−0.947099 | + | 0.320942i | \(0.896001\pi\) | |||||||
\(968\) | −1158.09 | −0.0384529 | ||||||||
\(969\) | −15811.5 | + | 583.543i | −0.524190 | + | 0.0193458i | ||||
\(970\) | 30359.3 | 1.00492 | ||||||||
\(971\) | − | 40400.5i | − | 1.33524i | −0.744504 | − | 0.667618i | \(-0.767314\pi\) | ||
0.744504 | − | 0.667618i | \(-0.232686\pi\) | |||||||
\(972\) | 7210.57 | + | 38648.6i | 0.237941 | + | 1.27536i | ||||
\(973\) | 23333.2 | 0.768785 | ||||||||
\(974\) | −55735.5 | −1.83355 | ||||||||
\(975\) | 36184.3 | − | 1335.42i | 1.18854 | − | 0.0438644i | ||||
\(976\) | 9076.07i | 0.297662i | ||||||||
\(977\) | −4358.55 | −0.142725 | −0.0713624 | − | 0.997450i | \(-0.522735\pi\) | ||||
−0.0713624 | + | 0.997450i | \(0.522735\pi\) | |||||||
\(978\) | −2565.66 | − | 69518.5i | −0.0838863 | − | 2.27296i | ||||
\(979\) | −54954.8 | −1.79404 | ||||||||
\(980\) | − | 34153.7i | − | 1.11326i | ||||||
\(981\) | −3160.50 | − | 42759.8i | −0.102861 | − | 1.39166i | ||||
\(982\) | 70915.2i | 2.30447i | ||||||||
\(983\) | 32553.4 | 1.05625 | 0.528123 | − | 0.849168i | \(-0.322896\pi\) | ||||
0.528123 | + | 0.849168i | \(0.322896\pi\) | |||||||
\(984\) | −21982.3 | + | 811.282i | −0.712165 | + | 0.0262833i | ||||
\(985\) | 21441.4 | 0.693583 | ||||||||
\(986\) | 27587.9 | 0.891053 | ||||||||
\(987\) | 553.434 | + | 14995.7i | 0.0178480 | + | 0.483606i | ||||
\(988\) | 57098.0i | 1.83859i | ||||||||
\(989\) | 26294.9i | 0.845429i | ||||||||
\(990\) | 1594.49 | + | 21572.5i | 0.0511880 | + | 0.692545i | ||||
\(991\) | 21558.0i | 0.691030i | 0.938413 | + | 0.345515i | \(0.112296\pi\) | ||||
−0.938413 | + | 0.345515i | \(0.887704\pi\) | |||||||
\(992\) | − | 5680.53i | − | 0.181812i | ||||||
\(993\) | −1667.07 | − | 45170.6i | −0.0532758 | − | 1.44355i | ||||
\(994\) | − | 82773.7i | − | 2.64127i | ||||||
\(995\) | 16873.5i | 0.537615i | ||||||||
\(996\) | −747.860 | − | 20263.8i | −0.0237920 | − | 0.644663i | ||||
\(997\) | −48863.5 | −1.55218 | −0.776089 | − | 0.630623i | \(-0.782799\pi\) | ||||
−0.776089 | + | 0.630623i | \(0.782799\pi\) | |||||||
\(998\) | −528.004 | −0.0167472 | ||||||||
\(999\) | −27583.0 | + | 3065.08i | −0.873561 | + | 0.0970721i |
(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 | 177.4.d.c.176.10 | yes | 52 | |
3.2 | odd | 2 | inner | 177.4.d.c.176.43 | yes | 52 | |
59.58 | odd | 2 | inner | 177.4.d.c.176.44 | yes | 52 | |
177.176 | even | 2 | inner | 177.4.d.c.176.9 | ✓ | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.d.c.176.9 | ✓ | 52 | 177.176 | even | 2 | inner | |
177.4.d.c.176.10 | yes | 52 | 1.1 | even | 1 | trivial | |
177.4.d.c.176.43 | yes | 52 | 3.2 | odd | 2 | inner | |
177.4.d.c.176.44 | yes | 52 | 59.58 | odd | 2 | inner |