Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,5,Mod(19,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.19");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.k (of order \(10\), degree \(4\), 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: | \(10.2336263453\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 19.3 | ||
Character | \(\chi\) | \(=\) | 99.19 |
Dual form | 99.5.k.c.73.3 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.01888 | − | 1.40237i | −0.254721 | − | 0.350594i | 0.662437 | − | 0.749118i | \(-0.269522\pi\) |
−0.917158 | + | 0.398524i | \(0.869522\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 4.01574 | − | 12.3592i | 0.250984 | − | 0.772449i | ||||
\(5\) | 32.0081 | + | 23.2552i | 1.28032 | + | 0.930209i | 0.999563 | − | 0.0295695i | \(-0.00941363\pi\) |
0.280760 | + | 0.959778i | \(0.409414\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 27.3116 | + | 8.87408i | 0.557380 | + | 0.181104i | 0.574142 | − | 0.818756i | \(-0.305336\pi\) |
−0.0167621 | + | 0.999860i | \(0.505336\pi\) | |||||||
\(8\) | −47.8012 | + | 15.5316i | −0.746894 | + | 0.242681i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 68.5817i | − | 0.685817i | ||||||
\(11\) | −30.6027 | + | 117.066i | −0.252915 | + | 0.967489i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 94.6157 | + | 130.227i | 0.559856 | + | 0.770576i | 0.991308 | − | 0.131560i | \(-0.0419986\pi\) |
−0.431452 | + | 0.902136i | \(0.641999\pi\) | |||||||
\(14\) | −15.3826 | − | 47.3428i | −0.0784826 | − | 0.241545i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −97.7287 | − | 71.0040i | −0.381753 | − | 0.277359i | ||||
\(17\) | 141.875 | − | 195.274i | 0.490917 | − | 0.675689i | −0.489640 | − | 0.871925i | \(-0.662872\pi\) |
0.980557 | + | 0.196236i | \(0.0628718\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 439.357 | − | 142.756i | 1.21705 | − | 0.395445i | 0.371046 | − | 0.928615i | \(-0.378999\pi\) |
0.846008 | + | 0.533170i | \(0.178999\pi\) | |||||||
\(20\) | 415.952 | − | 302.207i | 1.03988 | − | 0.755517i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 195.351 | − | 76.3605i | 0.403618 | − | 0.157770i | ||||
\(23\) | 241.540 | 0.456598 | 0.228299 | − | 0.973591i | \(-0.426684\pi\) | ||||
0.228299 | + | 0.973591i | \(0.426684\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 290.575 | + | 894.298i | 0.464920 | + | 1.43088i | ||||
\(26\) | 86.2250 | − | 265.373i | 0.127552 | − | 0.392564i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 219.353 | − | 301.913i | 0.279787 | − | 0.385093i | ||||
\(29\) | −553.272 | − | 179.769i | −0.657874 | − | 0.213756i | −0.0389915 | − | 0.999240i | \(-0.512415\pi\) |
−0.618883 | + | 0.785483i | \(0.712415\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 580.162 | − | 421.513i | 0.603707 | − | 0.438619i | −0.243486 | − | 0.969904i | \(-0.578291\pi\) |
0.847193 | + | 0.531286i | \(0.178291\pi\) | |||||||
\(32\) | 1013.58i | 0.989820i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −418.402 | −0.361939 | ||||||||
\(35\) | 667.823 | + | 919.179i | 0.545162 | + | 0.750351i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 757.807 | − | 2332.29i | 0.553548 | − | 1.70365i | −0.146200 | − | 0.989255i | \(-0.546704\pi\) |
0.699748 | − | 0.714390i | \(-0.253296\pi\) | |||||||
\(38\) | −647.851 | − | 470.691i | −0.448650 | − | 0.325963i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1891.21 | − | 614.493i | −1.18201 | − | 0.384058i | ||||
\(41\) | −529.997 | + | 172.207i | −0.315287 | + | 0.102443i | −0.462386 | − | 0.886679i | \(-0.653006\pi\) |
0.147099 | + | 0.989122i | \(0.453006\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3168.88i | 1.71383i | 0.515456 | + | 0.856916i | \(0.327623\pi\) | ||||
−0.515456 | + | 0.856916i | \(0.672377\pi\) | |||||||
\(44\) | 1323.95 | + | 848.332i | 0.683858 | + | 0.438188i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −246.102 | − | 338.730i | −0.116305 | − | 0.160080i | ||||
\(47\) | −777.518 | − | 2392.95i | −0.351977 | − | 1.08327i | −0.957741 | − | 0.287630i | \(-0.907133\pi\) |
0.605764 | − | 0.795644i | \(-0.292867\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1275.28 | − | 926.542i | −0.531143 | − | 0.385898i | ||||
\(50\) | 958.079 | − | 1318.68i | 0.383231 | − | 0.527473i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1989.46 | − | 646.413i | 0.735746 | − | 0.239058i | ||||
\(53\) | −2716.68 | + | 1973.78i | −0.967135 | + | 0.702665i | −0.954797 | − | 0.297259i | \(-0.903927\pi\) |
−0.0123381 | + | 0.999924i | \(0.503927\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3701.93 | + | 3035.39i | −1.22378 | + | 1.00343i | ||||
\(56\) | −1443.36 | −0.460254 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 311.617 | + | 959.059i | 0.0926329 | + | 0.285095i | ||||
\(59\) | 850.781 | − | 2618.44i | 0.244407 | − | 0.752208i | −0.751326 | − | 0.659931i | \(-0.770586\pi\) |
0.995733 | − | 0.0922768i | \(-0.0294145\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3694.91 | + | 5085.60i | −0.992987 | + | 1.36673i | −0.0634568 | + | 0.997985i | \(0.520213\pi\) |
−0.929530 | + | 0.368745i | \(0.879787\pi\) | |||||||
\(62\) | −1182.24 | − | 384.132i | −0.307554 | − | 0.0999303i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −142.245 | + | 103.347i | −0.0347278 | + | 0.0252313i | ||||
\(65\) | 6368.63i | 1.50737i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 309.930 | 0.0690421 | 0.0345210 | − | 0.999404i | \(-0.489009\pi\) | ||||
0.0345210 | + | 0.999404i | \(0.489009\pi\) | |||||||
\(68\) | −1843.70 | − | 2537.63i | −0.398723 | − | 0.548795i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 608.599 | − | 1873.08i | 0.124204 | − | 0.382260i | ||||
\(71\) | 4765.74 | + | 3462.51i | 0.945396 | + | 0.686871i | 0.949714 | − | 0.313120i | \(-0.101374\pi\) |
−0.00431730 | + | 0.999991i | \(0.501374\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2840.74 | − | 923.012i | −0.533072 | − | 0.173206i | 0.0300977 | − | 0.999547i | \(-0.490418\pi\) |
−0.563169 | + | 0.826341i | \(0.690418\pi\) | |||||||
\(74\) | −4042.86 | + | 1313.61i | −0.738287 | + | 0.239884i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 6003.36i | − | 1.03936i | ||||||
\(77\) | −1874.66 | + | 2925.69i | −0.316185 | + | 0.493455i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2715.61 | − | 3737.72i | −0.435124 | − | 0.598897i | 0.533995 | − | 0.845487i | \(-0.320690\pi\) |
−0.969120 | + | 0.246590i | \(0.920690\pi\) | |||||||
\(80\) | −1476.89 | − | 4545.40i | −0.230764 | − | 0.710219i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 781.504 | + | 567.796i | 0.116226 | + | 0.0844432i | ||||
\(83\) | 4057.27 | − | 5584.35i | 0.588949 | − | 0.810618i | −0.405692 | − | 0.914010i | \(-0.632969\pi\) |
0.994641 | + | 0.103391i | \(0.0329694\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9082.28 | − | 2951.01i | 1.25706 | − | 0.408445i | ||||
\(86\) | 4443.95 | − | 3228.72i | 0.600859 | − | 0.436549i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −355.374 | − | 6071.21i | −0.0458902 | − | 0.783989i | ||||
\(89\) | −6528.45 | −0.824196 | −0.412098 | − | 0.911140i | \(-0.635204\pi\) | ||||
−0.412098 | + | 0.911140i | \(0.635204\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1428.46 | + | 4396.34i | 0.172498 | + | 0.530895i | ||||
\(92\) | 969.964 | − | 2985.24i | 0.114599 | − | 0.352699i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2563.62 | + | 3528.52i | −0.290133 | + | 0.399334i | ||||
\(95\) | 17382.8 | + | 5648.00i | 1.92607 | + | 0.625817i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5078.93 | − | 3690.06i | 0.539795 | − | 0.392184i | −0.284214 | − | 0.958761i | \(-0.591733\pi\) |
0.824009 | + | 0.566577i | \(0.191733\pi\) | |||||||
\(98\) | 2732.45i | 0.284512i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 12219.7 | 1.22197 | ||||||||
\(101\) | 1494.35 | + | 2056.80i | 0.146491 | + | 0.201627i | 0.875956 | − | 0.482390i | \(-0.160231\pi\) |
−0.729466 | + | 0.684017i | \(0.760231\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2845.46 | + | 8757.43i | −0.268212 | + | 0.825472i | 0.722724 | + | 0.691137i | \(0.242890\pi\) |
−0.990936 | + | 0.134335i | \(0.957110\pi\) | |||||||
\(104\) | −6545.38 | − | 4755.50i | −0.605157 | − | 0.439672i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5535.97 | + | 1798.75i | 0.492699 | + | 0.160088i | ||||
\(107\) | −10456.8 | + | 3397.62i | −0.913336 | + | 0.296761i | −0.727730 | − | 0.685863i | \(-0.759425\pi\) |
−0.185606 | + | 0.982624i | \(0.559425\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 15439.8i | 1.29953i | 0.760133 | + | 0.649767i | \(0.225134\pi\) | ||||
−0.760133 | + | 0.649767i | \(0.774866\pi\) | |||||||
\(110\) | 8028.59 | + | 2098.78i | 0.663520 | + | 0.173453i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2039.03 | − | 2806.49i | −0.162550 | − | 0.223731i | ||||
\(113\) | −4499.91 | − | 13849.3i | −0.352409 | − | 1.08460i | −0.957496 | − | 0.288445i | \(-0.906862\pi\) |
0.605087 | − | 0.796159i | \(-0.293138\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7731.24 | + | 5617.07i | 0.584593 | + | 0.424731i | ||||
\(116\) | −4443.60 | + | 6116.09i | −0.330232 | + | 0.454525i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4538.87 | + | 1474.77i | −0.325975 | + | 0.105916i | ||||
\(119\) | 5607.71 | − | 4074.24i | 0.395997 | − | 0.287709i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −12768.0 | − | 7165.07i | −0.872068 | − | 0.489384i | ||||
\(122\) | 10896.6 | 0.732102 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2879.77 | − | 8863.02i | −0.187290 | − | 0.576419i | ||||
\(125\) | −3855.11 | + | 11864.8i | −0.246727 | + | 0.759348i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8726.57 | − | 12011.1i | 0.541049 | − | 0.744690i | −0.447715 | − | 0.894176i | \(-0.647762\pi\) |
0.988764 | + | 0.149487i | \(0.0477621\pi\) | |||||||
\(128\) | 15713.4 | + | 5105.58i | 0.959067 | + | 0.311620i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 8931.21 | − | 6488.90i | 0.528474 | − | 0.383959i | ||||
\(131\) | − | 7298.07i | − | 0.425271i | −0.977132 | − | 0.212635i | \(-0.931795\pi\) | ||
0.977132 | − | 0.212635i | \(-0.0682047\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 13266.4 | 0.749978 | ||||||||
\(134\) | −315.783 | − | 434.638i | −0.0175865 | − | 0.0242057i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3748.89 | + | 11537.9i | −0.202686 | + | 0.623804i | ||||
\(137\) | −18402.8 | − | 13370.4i | −0.980491 | − | 0.712369i | −0.0226729 | − | 0.999743i | \(-0.507218\pi\) |
−0.957818 | + | 0.287374i | \(0.907218\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 17635.6 | + | 5730.14i | 0.912767 | + | 0.296576i | 0.727496 | − | 0.686112i | \(-0.240684\pi\) |
0.185271 | + | 0.982688i | \(0.440684\pi\) | |||||||
\(140\) | 14042.1 | − | 4562.56i | 0.716435 | − | 0.232784i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 10211.3i | − | 0.506410i | ||||||
\(143\) | −18140.7 | + | 7090.99i | −0.887119 | + | 0.346764i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13528.6 | − | 18620.5i | −0.643453 | − | 0.885638i | ||||
\(146\) | 1599.98 | + | 4924.22i | 0.0750599 | + | 0.231011i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −25782.1 | − | 18731.8i | −1.17705 | − | 0.855175i | ||||
\(149\) | −12520.6 | + | 17233.2i | −0.563967 | + | 0.776234i | −0.991824 | − | 0.127612i | \(-0.959269\pi\) |
0.427857 | + | 0.903846i | \(0.359269\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −23518.9 | + | 7641.75i | −1.03149 | + | 0.335150i | −0.775377 | − | 0.631498i | \(-0.782440\pi\) |
−0.256108 | + | 0.966648i | \(0.582440\pi\) | |||||||
\(152\) | −18784.6 | + | 13647.8i | −0.813044 | + | 0.590711i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6012.98 | − | 351.965i | 0.253541 | − | 0.0148408i | ||||
\(155\) | 28372.2 | 1.18095 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1089.79 | + | 3354.04i | 0.0442125 | + | 0.136072i | 0.970726 | − | 0.240189i | \(-0.0772095\pi\) |
−0.926514 | + | 0.376261i | \(0.877209\pi\) | |||||||
\(158\) | −2474.79 | + | 7616.61i | −0.0991342 | + | 0.305104i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −23570.9 | + | 32442.6i | −0.920739 | + | 1.26729i | ||||
\(161\) | 6596.85 | + | 2143.45i | 0.254498 | + | 0.0826916i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17060.0 | + | 12394.8i | −0.642102 | + | 0.466514i | −0.860572 | − | 0.509329i | \(-0.829894\pi\) |
0.218470 | + | 0.975844i | \(0.429894\pi\) | |||||||
\(164\) | 7241.87i | 0.269255i | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11965.2 | −0.434215 | ||||||||
\(167\) | −23248.4 | − | 31998.7i | −0.833606 | − | 1.14736i | −0.987241 | − | 0.159232i | \(-0.949098\pi\) |
0.153635 | − | 0.988128i | \(-0.450902\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 818.809 | − | 2520.04i | 0.0286688 | − | 0.0882335i | ||||
\(170\) | −13392.2 | − | 9730.02i | −0.463399 | − | 0.336679i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 39164.7 | + | 12725.4i | 1.32385 | + | 0.430144i | ||||
\(173\) | −21543.6 | + | 6999.95i | −0.719825 | + | 0.233885i | −0.645947 | − | 0.763382i | \(-0.723537\pi\) |
−0.0738777 | + | 0.997267i | \(0.523537\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 27003.3i | 0.881741i | ||||||||
\(176\) | 11302.9 | − | 9267.80i | 0.364893 | − | 0.299193i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6651.74 | + | 9155.34i | 0.209940 | + | 0.288958i | ||||
\(179\) | 991.677 | + | 3052.07i | 0.0309503 | + | 0.0952551i | 0.965338 | − | 0.261002i | \(-0.0840528\pi\) |
−0.934388 | + | 0.356257i | \(0.884053\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −32427.1 | − | 23559.7i | −0.989809 | − | 0.719138i | −0.0299297 | − | 0.999552i | \(-0.509528\pi\) |
−0.959879 | + | 0.280414i | \(0.909528\pi\) | |||||||
\(182\) | 4709.89 | − | 6482.60i | 0.142190 | − | 0.195707i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −11545.9 | + | 3751.50i | −0.341030 | + | 0.110807i | ||||
\(185\) | 78493.8 | − | 57029.1i | 2.29347 | − | 1.66630i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 18518.2 | + | 22584.7i | 0.529561 | + | 0.645848i | ||||
\(188\) | −32697.3 | −0.925115 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −9790.42 | − | 30131.8i | −0.271203 | − | 0.834676i | ||||
\(191\) | 2173.33 | − | 6688.81i | 0.0595742 | − | 0.183350i | −0.916841 | − | 0.399253i | \(-0.869269\pi\) |
0.976415 | + | 0.215903i | \(0.0692694\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 25522.4 | − | 35128.6i | 0.685183 | − | 0.943074i | −0.314798 | − | 0.949159i | \(-0.601937\pi\) |
0.999981 | + | 0.00608469i | \(0.00193683\pi\) | |||||||
\(194\) | −10349.7 | − | 3362.82i | −0.274994 | − | 0.0893511i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −16572.5 | + | 12040.6i | −0.431395 | + | 0.313427i | ||||
\(197\) | 41922.3i | 1.08022i | 0.841594 | + | 0.540111i | \(0.181618\pi\) | ||||
−0.841594 | + | 0.540111i | \(0.818382\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −23640.6 | −0.596970 | −0.298485 | − | 0.954414i | \(-0.596481\pi\) | ||||
−0.298485 | + | 0.954414i | \(0.596481\pi\) | |||||||
\(200\) | −27779.7 | − | 38235.5i | −0.694492 | − | 0.955887i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1361.83 | − | 4191.28i | 0.0333749 | − | 0.102717i | ||||
\(203\) | −13515.5 | − | 9819.57i | −0.327974 | − | 0.238287i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −20968.9 | − | 6813.20i | −0.498962 | − | 0.162123i | ||||
\(206\) | 15180.4 | − | 4932.41i | 0.357725 | − | 0.116232i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 19445.0i | − | 0.449451i | ||||||
\(209\) | 3266.36 | + | 55802.5i | 0.0747775 | + | 1.27750i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4977.33 | + | 6850.71i | 0.111797 | + | 0.153876i | 0.861249 | − | 0.508183i | \(-0.169683\pi\) |
−0.749452 | + | 0.662059i | \(0.769683\pi\) | |||||||
\(212\) | 13484.9 | + | 41502.2i | 0.300037 | + | 0.923420i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 15419.0 | + | 11202.5i | 0.336688 | + | 0.244619i | ||||
\(215\) | −73692.9 | + | 101430.i | −1.59422 | + | 2.19426i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19585.7 | − | 6363.78i | 0.415929 | − | 0.135144i | ||||
\(218\) | 21652.3 | − | 15731.3i | 0.455609 | − | 0.331019i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 22648.9 | + | 57942.2i | 0.467953 | + | 1.19715i | ||||
\(221\) | 38853.6 | 0.795512 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −15927.2 | − | 49019.0i | −0.320281 | − | 0.985723i | −0.973526 | − | 0.228577i | \(-0.926593\pi\) |
0.653245 | − | 0.757147i | \(-0.273407\pi\) | |||||||
\(224\) | −8994.55 | + | 27682.4i | −0.179260 | + | 0.551706i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14837.0 | + | 20421.4i | −0.290489 | + | 0.399824i | ||||
\(227\) | 16559.9 | + | 5380.65i | 0.321371 | + | 0.104420i | 0.465260 | − | 0.885174i | \(-0.345961\pi\) |
−0.143889 | + | 0.989594i | \(0.545961\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 56030.1 | − | 40708.3i | 1.06844 | − | 0.776268i | 0.0928100 | − | 0.995684i | \(-0.470415\pi\) |
0.975631 | + | 0.219416i | \(0.0704151\pi\) | |||||||
\(230\) | − | 16565.2i | − | 0.313142i | ||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 29239.2 | 0.543237 | ||||||||
\(233\) | −18729.9 | − | 25779.5i | −0.345004 | − | 0.474857i | 0.600891 | − | 0.799331i | \(-0.294813\pi\) |
−0.945894 | + | 0.324474i | \(0.894813\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 30761.8 | − | 94675.1i | 0.557027 | − | 1.71435i | ||||
\(236\) | −28945.2 | − | 21029.9i | −0.519700 | − | 0.377584i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −11427.2 | − | 3712.93i | −0.201738 | − | 0.0655485i | ||||
\(239\) | 105483. | − | 34273.5i | 1.84666 | − | 0.600016i | 0.849258 | − | 0.527978i | \(-0.177050\pi\) |
0.997402 | − | 0.0720382i | \(-0.0229504\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 54085.5i | 0.931207i | 0.884993 | + | 0.465604i | \(0.154163\pi\) | ||||
−0.884993 | + | 0.465604i | \(0.845837\pi\) | |||||||
\(242\) | 2960.95 | + | 25205.8i | 0.0505593 | + | 0.430398i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 48016.1 | + | 66088.5i | 0.806506 | + | 1.11006i | ||||
\(245\) | −19272.2 | − | 59313.6i | −0.321069 | − | 0.988148i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 60160.7 | + | 43709.3i | 0.986096 | + | 0.716440i | ||||
\(248\) | −21185.7 | + | 29159.6i | −0.344461 | + | 0.474110i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 20566.8 | − | 6682.56i | 0.329069 | − | 0.106921i | ||||
\(251\) | 70707.4 | − | 51371.9i | 1.12232 | − | 0.815414i | 0.137762 | − | 0.990465i | \(-0.456009\pi\) |
0.984559 | + | 0.175051i | \(0.0560090\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7391.78 | + | 28276.2i | −0.115480 | + | 0.441753i | ||||
\(254\) | −25735.4 | −0.398900 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7980.84 | − | 24562.5i | −0.121778 | − | 0.374794i | ||||
\(257\) | 27175.6 | − | 83637.7i | 0.411445 | − | 1.26630i | −0.503947 | − | 0.863735i | \(-0.668119\pi\) |
0.915392 | − | 0.402564i | \(-0.131881\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 41393.9 | − | 56973.8i | 0.617073 | − | 0.849328i | ||||
\(260\) | 78711.1 | + | 25574.8i | 1.16437 | + | 0.378325i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10234.6 | + | 7435.89i | −0.149097 | + | 0.108325i | ||||
\(263\) | 19661.7i | 0.284255i | 0.989848 | + | 0.142128i | \(0.0453943\pi\) | ||||
−0.989848 | + | 0.142128i | \(0.954606\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −132857. | −1.89187 | ||||||||
\(266\) | −13516.9 | − | 18604.4i | −0.191035 | − | 0.262937i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1244.60 | − | 3830.48i | 0.0173285 | − | 0.0533315i | ||||
\(269\) | 3199.10 | + | 2324.28i | 0.0442103 | + | 0.0321207i | 0.609671 | − | 0.792655i | \(-0.291302\pi\) |
−0.565461 | + | 0.824775i | \(0.691302\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 85005.7 | + | 27620.0i | 1.15747 | + | 0.376085i | 0.823952 | − | 0.566659i | \(-0.191764\pi\) |
0.333517 | + | 0.942744i | \(0.391764\pi\) | |||||||
\(272\) | −27730.5 | + | 9010.18i | −0.374817 | + | 0.121786i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 39430.6i | 0.525209i | ||||||||
\(275\) | −113584. | + | 6648.58i | −1.50194 | + | 0.0879151i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −65233.9 | − | 89786.7i | −0.850185 | − | 1.17018i | −0.983822 | − | 0.179149i | \(-0.942666\pi\) |
0.133637 | − | 0.991030i | \(-0.457334\pi\) | |||||||
\(278\) | −9932.80 | − | 30570.0i | −0.128523 | − | 0.395554i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −46199.0 | − | 33565.6i | −0.589274 | − | 0.428132i | ||||
\(281\) | 58562.1 | − | 80603.8i | 0.741658 | − | 1.02080i | −0.256864 | − | 0.966448i | \(-0.582689\pi\) |
0.998522 | − | 0.0543570i | \(-0.0173109\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −32503.2 | + | 10560.9i | −0.405839 | + | 0.131865i | −0.504821 | − | 0.863224i | \(-0.668441\pi\) |
0.0989820 | + | 0.995089i | \(0.468441\pi\) | |||||||
\(284\) | 61931.9 | − | 44996.1i | 0.767852 | − | 0.557877i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 28427.5 | + | 18215.2i | 0.347541 | + | 0.222690i | ||||
\(287\) | −16003.3 | −0.194287 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7805.93 | + | 24024.2i | 0.0934607 | + | 0.287642i | ||||
\(290\) | −12328.9 | + | 37944.3i | −0.146598 | + | 0.451181i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −22815.4 | + | 31402.7i | −0.267585 | + | 0.368299i | ||||
\(293\) | −45950.6 | − | 14930.2i | −0.535249 | − | 0.173913i | 0.0289057 | − | 0.999582i | \(-0.490798\pi\) |
−0.564154 | + | 0.825669i | \(0.690798\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 88124.1 | − | 64025.9i | 1.01263 | − | 0.735719i | ||||
\(296\) | 123256.i | 1.40678i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 36924.5 | 0.415797 | ||||||||
\(299\) | 22853.5 | + | 31455.1i | 0.255629 | + | 0.351843i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −28120.9 | + | 86547.1i | −0.310381 | + | 0.955255i | ||||
\(302\) | 34679.6 | + | 25196.2i | 0.380243 | + | 0.276262i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −53074.0 | − | 17244.8i | −0.574294 | − | 0.186599i | ||||
\(305\) | −236534. | + | 76854.4i | −2.54269 | + | 0.826169i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 47042.3i | 0.499128i | 0.968358 | + | 0.249564i | \(0.0802872\pi\) | ||||
−0.968358 | + | 0.249564i | \(0.919713\pi\) | |||||||
\(308\) | 28631.0 | + | 34918.1i | 0.301811 | + | 0.368086i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −28908.0 | − | 39788.5i | −0.300812 | − | 0.414032i | ||||
\(311\) | 41966.1 | + | 129158.i | 0.433888 | + | 1.33537i | 0.894221 | + | 0.447625i | \(0.147730\pi\) |
−0.460333 | + | 0.887746i | \(0.652270\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −94424.7 | − | 68603.5i | −0.963822 | − | 0.700258i | −0.00978680 | − | 0.999952i | \(-0.503115\pi\) |
−0.954035 | + | 0.299694i | \(0.903115\pi\) | |||||||
\(314\) | 3593.25 | − | 4945.68i | 0.0364442 | − | 0.0501611i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −57100.4 | + | 18553.0i | −0.571827 | + | 0.185798i | ||||
\(317\) | −31402.4 | + | 22815.2i | −0.312496 | + | 0.227042i | −0.732967 | − | 0.680264i | \(-0.761865\pi\) |
0.420471 | + | 0.907306i | \(0.361865\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 37976.5 | − | 59268.0i | 0.373193 | − | 0.582424i | ||||
\(320\) | −6956.36 | −0.0679332 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3715.52 | − | 11435.2i | −0.0358350 | − | 0.110289i | ||||
\(323\) | 34457.2 | − | 106048.i | 0.330275 | − | 1.01648i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −88969.1 | + | 122455.i | −0.842311 | + | 1.15934i | ||||
\(326\) | 34764.4 | + | 11295.6i | 0.327114 | + | 0.106286i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 22659.9 | − | 16463.4i | 0.210625 | − | 0.153028i | ||||
\(329\) | − | 72255.2i | − | 0.667540i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 48824.2 | 0.445635 | 0.222818 | − | 0.974860i | \(-0.428475\pi\) | ||||
0.222818 | + | 0.974860i | \(0.428475\pi\) | |||||||
\(332\) | −52725.1 | − | 72569.9i | −0.478345 | − | 0.658385i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −21186.7 | + | 65206.0i | −0.189920 | + | 0.584514i | ||||
\(335\) | 9920.26 | + | 7207.49i | 0.0883961 | + | 0.0642236i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 25500.8 | + | 8285.71i | 0.224540 | + | 0.0729575i | 0.419126 | − | 0.907928i | \(-0.362336\pi\) |
−0.194586 | + | 0.980885i | \(0.562336\pi\) | |||||||
\(338\) | −4368.31 | + | 1419.35i | −0.0382366 | + | 0.0124238i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | − | 124100.i | − | 1.07353i | ||||||
\(341\) | 31590.3 | + | 80816.8i | 0.271672 | + | 0.695013i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −67135.3 | − | 92403.8i | −0.570641 | − | 0.785419i | ||||
\(344\) | −49217.6 | − | 151476.i | −0.415914 | − | 1.28005i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 31767.0 | + | 23080.1i | 0.265353 | + | 0.192791i | ||||
\(347\) | −71582.6 | + | 98524.9i | −0.594495 | + | 0.818252i | −0.995190 | − | 0.0979590i | \(-0.968769\pi\) |
0.400695 | + | 0.916211i | \(0.368769\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −138907. | + | 45133.6i | −1.14044 | + | 0.370552i | −0.817535 | − | 0.575879i | \(-0.804660\pi\) |
−0.322906 | + | 0.946431i | \(0.604660\pi\) | |||||||
\(350\) | 37868.8 | − | 27513.3i | 0.309133 | − | 0.224598i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −118655. | − | 31018.1i | −0.957640 | − | 0.250340i | ||||
\(353\) | 36019.5 | 0.289061 | 0.144530 | − | 0.989500i | \(-0.453833\pi\) | ||||
0.144530 | + | 0.989500i | \(0.453833\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 72020.6 | + | 221657.i | 0.571479 | + | 1.75883i | ||||
\(356\) | −26216.6 | + | 80686.4i | −0.206860 | + | 0.636649i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3269.74 | − | 4500.41i | 0.0255121 | − | 0.0351145i | ||||
\(359\) | 95618.4 | + | 31068.3i | 0.741913 | + | 0.241062i | 0.655498 | − | 0.755197i | \(-0.272459\pi\) |
0.0864149 | + | 0.996259i | \(0.472459\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 67223.2 | − | 48840.5i | 0.515828 | − | 0.374771i | ||||
\(362\) | 69479.6i | 0.530200i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 60071.6 | 0.453384 | ||||||||
\(365\) | −69461.7 | − | 95605.8i | −0.521386 | − | 0.717627i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −40182.8 | + | 123670.i | −0.298338 | + | 0.918189i | 0.683742 | + | 0.729724i | \(0.260351\pi\) |
−0.982080 | + | 0.188465i | \(0.939649\pi\) | |||||||
\(368\) | −23605.4 | − | 17150.3i | −0.174307 | − | 0.126642i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −159952. | − | 51971.7i | −1.16839 | − | 0.379632i | ||||
\(371\) | −91712.5 | + | 29799.2i | −0.666317 | + | 0.216499i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 149908.i | − | 1.07747i | −0.842474 | − | 0.538737i | \(-0.818902\pi\) | ||
0.842474 | − | 0.538737i | \(-0.181098\pi\) | |||||||
\(374\) | 12804.2 | − | 48980.7i | 0.0915397 | − | 0.350172i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 74332.6 | + | 102310.i | 0.525780 | + | 0.723674i | ||||
\(377\) | −28937.4 | − | 89060.2i | −0.203600 | − | 0.626615i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 179055. | + | 130091.i | 1.24655 | + | 0.905670i | 0.998016 | − | 0.0629540i | \(-0.0200521\pi\) |
0.248531 | + | 0.968624i | \(0.420052\pi\) | |||||||
\(380\) | 139609. | − | 192156.i | 0.966825 | − | 1.33072i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11594.6 | + | 3767.31i | −0.0794563 | + | 0.0258169i | ||||
\(383\) | 17981.5 | − | 13064.3i | 0.122583 | − | 0.0890614i | −0.524805 | − | 0.851223i | \(-0.675862\pi\) |
0.647387 | + | 0.762161i | \(0.275862\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −128042. | + | 50050.1i | −0.863835 | + | 0.337663i | ||||
\(386\) | −75267.8 | −0.505166 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −25210.5 | − | 77589.8i | −0.167462 | − | 0.515396i | ||||
\(389\) | −53692.0 | + | 165247.i | −0.354822 | + | 1.09203i | 0.601291 | + | 0.799030i | \(0.294653\pi\) |
−0.956113 | + | 0.292999i | \(0.905347\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 34268.5 | − | 47166.6i | 0.224152 | − | 0.308518i | ||||
\(392\) | 75350.4 | + | 24482.8i | 0.490358 | + | 0.159327i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 58790.8 | − | 42714.0i | 0.378719 | − | 0.275155i | ||||
\(395\) | − | 182789.i | − | 1.17154i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 61730.8 | 0.391671 | 0.195835 | − | 0.980637i | \(-0.437258\pi\) | ||||
0.195835 | + | 0.980637i | \(0.437258\pi\) | |||||||
\(398\) | 24087.1 | + | 33153.0i | 0.152061 | + | 0.209294i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 35101.3 | − | 108031.i | 0.219383 | − | 0.675191i | ||||
\(401\) | −111862. | − | 81272.2i | −0.695652 | − | 0.505421i | 0.182861 | − | 0.983139i | \(-0.441464\pi\) |
−0.878513 | + | 0.477718i | \(0.841464\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 109785. | + | 35671.3i | 0.675978 | + | 0.219639i | ||||
\(404\) | 31421.3 | − | 10209.4i | 0.192514 | − | 0.0625515i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 28958.8i | 0.175682i | ||||||||
\(407\) | 249841. | + | 160088.i | 1.50826 | + | 0.966428i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −132243. | − | 182018.i | −0.790547 | − | 1.08809i | −0.994040 | − | 0.109018i | \(-0.965229\pi\) |
0.203493 | − | 0.979076i | \(-0.434771\pi\) | |||||||
\(410\) | 11810.2 | + | 36348.1i | 0.0702571 | + | 0.216229i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 96808.1 | + | 70335.2i | 0.570318 | + | 0.414361i | ||||
\(413\) | 46472.4 | − | 63963.8i | 0.272455 | − | 0.375002i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 259731. | − | 84391.6i | 1.50809 | − | 0.490008i | ||||
\(416\) | −131995. | + | 95900.2i | −0.762732 | + | 0.554157i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 74927.9 | − | 61436.9i | 0.428836 | − | 0.351623i | ||||
\(419\) | 86800.6 | 0.494418 | 0.247209 | − | 0.968962i | \(-0.420487\pi\) | ||||
0.247209 | + | 0.968962i | \(0.420487\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 51322.7 | + | 157955.i | 0.289565 | + | 0.891189i | 0.984993 | + | 0.172593i | \(0.0552146\pi\) |
−0.695428 | + | 0.718595i | \(0.744785\pi\) | |||||||
\(422\) | 4535.93 | − | 13960.2i | 0.0254707 | − | 0.0783909i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 99204.8 | − | 136544.i | 0.551824 | − | 0.759521i | ||||
\(425\) | 215859. | + | 70136.7i | 1.19507 | + | 0.388300i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −146044. | + | 106107.i | −0.800991 | + | 0.581954i | ||||
\(428\) | 142881.i | 0.779988i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 217327. | 1.17537 | ||||||||
\(431\) | 104301. | + | 143558.i | 0.561480 | + | 0.772811i | 0.991514 | − | 0.130002i | \(-0.0414983\pi\) |
−0.430034 | + | 0.902813i | \(0.641498\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8804.75 | − | 27098.2i | 0.0469614 | − | 0.144532i | −0.924826 | − | 0.380390i | \(-0.875790\pi\) |
0.971788 | + | 0.235857i | \(0.0757898\pi\) | |||||||
\(434\) | −28880.0 | − | 20982.5i | −0.153327 | − | 0.111398i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 190823. | + | 62002.2i | 1.00382 | + | 0.326162i | ||||
\(437\) | 106122. | − | 34481.2i | 0.555705 | − | 0.180559i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 208514.i | − | 1.08195i | −0.841039 | − | 0.540974i | \(-0.818056\pi\) | ||
0.841039 | − | 0.540974i | \(-0.181944\pi\) | |||||||
\(440\) | 129813. | − | 202592.i | 0.670519 | − | 1.04645i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −39587.4 | − | 54487.3i | −0.202634 | − | 0.278902i | ||||
\(443\) | −65857.3 | − | 202688.i | −0.335580 | − | 1.03281i | −0.966436 | − | 0.256909i | \(-0.917296\pi\) |
0.630855 | − | 0.775900i | \(-0.282704\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −208963. | − | 151821.i | −1.05524 | − | 0.766674i | ||||
\(446\) | −52515.0 | + | 72280.7i | −0.264006 | + | 0.363373i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −4802.06 | + | 1560.28i | −0.0239261 | + | 0.00777405i | ||||
\(449\) | −50468.3 | + | 36667.4i | −0.250338 | + | 0.181881i | −0.705876 | − | 0.708335i | \(-0.749447\pi\) |
0.455539 | + | 0.890216i | \(0.349447\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3940.22 | − | 67314.7i | −0.0193717 | − | 0.330946i | ||||
\(452\) | −189237. | −0.926251 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −9326.98 | − | 28705.5i | −0.0452511 | − | 0.139269i | ||||
\(455\) | −56515.7 | + | 173938.i | −0.272990 | + | 0.840177i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −200452. | + | 275899.i | −0.959796 | + | 1.32105i | −0.0127595 | + | 0.999919i | \(0.504062\pi\) |
−0.947036 | + | 0.321127i | \(0.895938\pi\) | |||||||
\(458\) | −114177. | − | 37098.2i | −0.544309 | − | 0.176857i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 100469. | − | 72995.1i | 0.474807 | − | 0.344967i | ||||
\(461\) | 66165.6i | 0.311337i | 0.987809 | + | 0.155668i | \(0.0497532\pi\) | ||||
−0.987809 | + | 0.155668i | \(0.950247\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −255213. | −1.19053 | −0.595265 | − | 0.803529i | \(-0.702953\pi\) | ||||
−0.595265 | + | 0.803529i | \(0.702953\pi\) | |||||||
\(464\) | 41306.2 | + | 56853.2i | 0.191858 | + | 0.264070i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −17068.9 | + | 52532.7i | −0.0786020 | + | 0.241912i | ||||
\(467\) | 98066.8 | + | 71249.7i | 0.449664 | + | 0.326700i | 0.789463 | − | 0.613798i | \(-0.210359\pi\) |
−0.339799 | + | 0.940498i | \(0.610359\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8464.69 | + | 2750.34i | 0.0384827 | + | 0.0125038i | ||||
\(470\) | −164113. | + | 53323.5i | −0.742928 | + | 0.241392i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 138378.i | 0.621132i | ||||||||
\(473\) | −370968. | − | 96976.1i | −1.65811 | − | 0.433453i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 255332. | + | 351435.i | 1.13167 | + | 1.55761i | ||||
\(476\) | −27835.2 | − | 85667.9i | −0.122851 | − | 0.378098i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −155539. | − | 113006.i | −0.680745 | − | 0.494590i | ||||
\(479\) | −34782.6 | + | 47874.1i | −0.151597 | + | 0.208655i | −0.878060 | − | 0.478550i | \(-0.841163\pi\) |
0.726463 | + | 0.687205i | \(0.241163\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 375428. | − | 121984.i | 1.62269 | − | 0.527245i | ||||
\(482\) | 75848.1 | − | 55106.8i | 0.326475 | − | 0.237198i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −139827. | + | 129028.i | −0.596900 | + | 0.550801i | ||||
\(485\) | 248380. | 1.05592 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 33501.8 | + | 103108.i | 0.141257 | + | 0.434744i | 0.996511 | − | 0.0834653i | \(-0.0265988\pi\) |
−0.855254 | + | 0.518209i | \(0.826599\pi\) | |||||||
\(488\) | 97633.7 | − | 300486.i | 0.409978 | − | 1.26178i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −63543.8 | + | 87460.5i | −0.264655 | + | 0.364267i | ||||
\(491\) | −419208. | − | 136209.i | −1.73887 | − | 0.564993i | −0.744185 | − | 0.667973i | \(-0.767162\pi\) |
−0.994683 | + | 0.102981i | \(0.967162\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −113600. | + | 82535.0i | −0.467394 | + | 0.339582i | ||||
\(494\) | − | 128903.i | − | 0.528211i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −86627.6 | −0.352122 | ||||||||
\(497\) | 99433.5 | + | 136858.i | 0.402550 | + | 0.554062i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −25259.2 | + | 77739.8i | −0.101442 | + | 0.312207i | −0.988879 | − | 0.148723i | \(-0.952484\pi\) |
0.887437 | + | 0.460929i | \(0.152484\pi\) | |||||||
\(500\) | 131158. | + | 95292.1i | 0.524633 | + | 0.381168i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −144085. | − | 46816.2i | −0.571758 | − | 0.185775i | ||||
\(503\) | 429446. | − | 139535.i | 1.69735 | − | 0.551504i | 0.709205 | − | 0.705002i | \(-0.249054\pi\) |
0.988149 | + | 0.153498i | \(0.0490540\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 100586.i | 0.394415i | ||||||||
\(506\) | 47185.2 | − | 18444.1i | 0.184291 | − | 0.0720373i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −113404. | − | 156087.i | −0.439440 | − | 0.604838i | ||||
\(509\) | 119556. | + | 367954.i | 0.461460 | + | 1.42023i | 0.863380 | + | 0.504554i | \(0.168343\pi\) |
−0.401920 | + | 0.915675i | \(0.631657\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −69394.3 | − | 50417.9i | −0.265755 | − | 0.193082i | ||||
\(512\) | 129068. | − | 177647.i | 0.492355 | − | 0.677669i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −144980. | + | 47106.9i | −0.548760 | + | 0.178303i | ||||
\(515\) | −294734. | + | 214137.i | −1.11126 | + | 0.807377i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 303928. | − | 17790.2i | 1.13708 | − | 0.0665579i | ||||
\(518\) | −122074. | −0.454950 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −98914.8 | − | 304428.i | −0.365809 | − | 1.12584i | ||||
\(521\) | 49678.5 | − | 152895.i | 0.183018 | − | 0.563270i | −0.816891 | − | 0.576792i | \(-0.804304\pi\) |
0.999909 | + | 0.0135219i | \(0.00430429\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −15895.2 | + | 21877.8i | −0.0581115 | + | 0.0799836i | −0.837084 | − | 0.547075i | \(-0.815741\pi\) |
0.778972 | + | 0.627058i | \(0.215741\pi\) | |||||||
\(524\) | −90198.3 | − | 29307.2i | −0.328500 | − | 0.106736i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 27573.0 | − | 20033.0i | 0.0996581 | − | 0.0724058i | ||||
\(527\) | − | 173093.i | − | 0.623243i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −221499. | −0.791518 | ||||||||
\(530\) | 135365. | + | 186315.i | 0.481899 | + | 0.663277i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 53274.3 | − | 163961.i | 0.188232 | − | 0.579320i | ||||
\(533\) | −72572.0 | − | 52726.7i | −0.255455 | − | 0.185599i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −413714. | − | 134424.i | −1.44541 | − | 0.469644i | ||||
\(536\) | −14815.0 | + | 4813.70i | −0.0515671 | + | 0.0167552i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 6854.51i | − | 0.0236817i | ||||||
\(539\) | 147493. | − | 120937.i | 0.507686 | − | 0.416276i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 172728. | + | 237739.i | 0.590157 | + | 0.812282i | 0.994763 | − | 0.102210i | \(-0.0325912\pi\) |
−0.404606 | + | 0.914491i | \(0.632591\pi\) | |||||||
\(542\) | −47877.4 | − | 147352.i | −0.162979 | − | 0.501598i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 197925. | + | 143801.i | 0.668811 | + | 0.485919i | ||||
\(545\) | −359055. | + | 494197.i | −1.20884 | + | 1.66382i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 81755.0 | − | 26563.8i | 0.273237 | − | 0.0887801i | −0.169194 | − | 0.985583i | \(-0.554116\pi\) |
0.442431 | + | 0.896803i | \(0.354116\pi\) | |||||||
\(548\) | −239149. | + | 173752.i | −0.796356 | + | 0.578587i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 125053. | + | 152514.i | 0.413399 | + | 0.504178i | ||||
\(551\) | −268747. | −0.885198 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −40998.9 | − | 126182.i | −0.134067 | − | 0.412616i | ||||
\(554\) | −59448.8 | + | 182965.i | −0.193697 | + | 0.596139i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 141640. | − | 194951.i | 0.458180 | − | 0.630630i | ||||
\(557\) | −86069.8 | − | 27965.8i | −0.277422 | − | 0.0901397i | 0.167002 | − | 0.985957i | \(-0.446591\pi\) |
−0.444423 | + | 0.895817i | \(0.646591\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −412674. | + | 299825.i | −1.32064 | + | 0.959499i | ||||
\(560\) | − | 137248.i | − | 0.437654i | ||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −172705. | −0.546804 | ||||||||
\(563\) | −45940.1 | − | 63231.1i | −0.144935 | − | 0.199487i | 0.730377 | − | 0.683044i | \(-0.239344\pi\) |
−0.875313 | + | 0.483558i | \(0.839344\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 178035. | − | 547936.i | 0.557711 | − | 1.71646i | ||||
\(566\) | 47927.4 | + | 34821.3i | 0.149607 | + | 0.108696i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −281587. | − | 91493.0i | −0.872801 | − | 0.283590i | ||||
\(569\) | 41195.0 | − | 13385.1i | 0.127239 | − | 0.0413425i | −0.244705 | − | 0.969597i | \(-0.578691\pi\) |
0.371944 | + | 0.928255i | \(0.378691\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 429216.i | 1.31645i | 0.752823 | + | 0.658223i | \(0.228692\pi\) | ||||
−0.752823 | + | 0.658223i | \(0.771308\pi\) | |||||||
\(572\) | 14790.4 | + | 252680.i | 0.0452052 | + | 0.772287i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 16305.5 | + | 22442.6i | 0.0494891 | + | 0.0681159i | ||||
\(575\) | 70185.6 | + | 216009.i | 0.212282 | + | 0.653336i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −163903. | − | 119082.i | −0.492305 | − | 0.357681i | 0.313765 | − | 0.949501i | \(-0.398410\pi\) |
−0.806070 | + | 0.591820i | \(0.798410\pi\) | |||||||
\(578\) | 25737.6 | − | 35424.7i | 0.0770392 | − | 0.106035i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −284462. | + | 92427.3i | −0.845607 | + | 0.274754i | ||||
\(581\) | 160366. | − | 116513.i | 0.475074 | − | 0.345161i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −147926. | − | 378435.i | −0.435217 | − | 1.11341i | ||||
\(584\) | 150127. | 0.440182 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 25880.5 | + | 79652.1i | 0.0753664 | + | 0.231954i | ||||
\(587\) | 27605.0 | − | 84959.5i | 0.0801146 | − | 0.246567i | −0.902975 | − | 0.429693i | \(-0.858622\pi\) |
0.983089 | + | 0.183126i | \(0.0586216\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 194725. | − | 268016.i | 0.561295 | − | 0.772556i | ||||
\(590\) | −179577. | − | 58348.0i | −0.515877 | − | 0.167618i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −239661. | + | 174124.i | −0.683840 | + | 0.496839i | ||||
\(593\) | − | 274181.i | − | 0.779702i | −0.920878 | − | 0.389851i | \(-0.872527\pi\) | ||
0.920878 | − | 0.389851i | \(-0.127473\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 274239. | 0.774632 | ||||||||
\(596\) | 162708. | + | 223949.i | 0.458055 | + | 0.630458i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 20826.8 | − | 64098.3i | 0.0582399 | − | 0.179244i | ||||
\(599\) | −138133. | − | 100359.i | −0.384984 | − | 0.279708i | 0.378413 | − | 0.925637i | \(-0.376470\pi\) |
−0.763397 | + | 0.645929i | \(0.776470\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 404972. | + | 131583.i | 1.12118 | + | 0.364294i | 0.810219 | − | 0.586127i | \(-0.199348\pi\) |
0.310964 | + | 0.950422i | \(0.399348\pi\) | |||||||
\(602\) | 150023. | − | 48745.5i | 0.413967 | − | 0.134506i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 321362.i | 0.880887i | ||||||||
\(605\) | −242052. | − | 526262.i | −0.661299 | − | 1.43777i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 63832.4 | + | 87857.8i | 0.173246 | + | 0.238453i | 0.886807 | − | 0.462141i | \(-0.152919\pi\) |
−0.713560 | + | 0.700594i | \(0.752919\pi\) | |||||||
\(608\) | 144694. | + | 445321.i | 0.391419 | + | 1.20467i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 348779. | + | 253403.i | 0.937326 | + | 0.681007i | ||||
\(611\) | 238063. | − | 327665.i | 0.637689 | − | 0.877703i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −120885. | + | 39277.8i | −0.321699 | + | 0.104526i | −0.465415 | − | 0.885093i | \(-0.654095\pi\) |
0.143716 | + | 0.989619i | \(0.454095\pi\) | |||||||
\(614\) | 65970.9 | − | 47930.7i | 0.174991 | − | 0.127138i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 44170.6 | − | 168968.i | 0.116405 | − | 0.445291i | ||||
\(617\) | 132931. | 0.349186 | 0.174593 | − | 0.984641i | \(-0.444139\pi\) | ||||
0.174593 | + | 0.984641i | \(0.444139\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −49866.9 | − | 153475.i | −0.130146 | − | 0.400548i | 0.864657 | − | 0.502362i | \(-0.167536\pi\) |
−0.994804 | + | 0.101813i | \(0.967536\pi\) | |||||||
\(620\) | 113936. | − | 350658.i | 0.296399 | − | 0.912221i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 138370. | − | 190450.i | 0.357652 | − | 0.492266i | ||||
\(623\) | −178303. | − | 57934.0i | −0.459390 | − | 0.149265i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 76146.4 | − | 55323.6i | 0.194935 | − | 0.141628i | ||||
\(626\) | 202318.i | 0.516280i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 45829.6 | 0.116205 | ||||||||
\(629\) | −347922. | − | 478874.i | −0.879388 | − | 1.21037i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −69740.9 | + | 214640.i | −0.175158 | + | 0.539080i | −0.999641 | − | 0.0268070i | \(-0.991466\pi\) |
0.824483 | + | 0.565887i | \(0.191466\pi\) | |||||||
\(632\) | 187862. | + | 136490.i | 0.470333 | + | 0.341717i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 63990.9 | + | 20791.9i | 0.159199 | + | 0.0517268i | ||||
\(635\) | 558641. | − | 181514.i | 1.38543 | − | 0.450155i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 253741.i | − | 0.625334i | ||||||
\(638\) | −121810. | + | 7130.04i | −0.299254 | + | 0.0175166i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 384223. | + | 528837.i | 0.938044 | + | 1.29111i | ||||
\(641\) | 240298. | + | 739563.i | 0.584837 | + | 1.79994i | 0.599923 | + | 0.800058i | \(0.295198\pi\) |
−0.0150860 | + | 0.999886i | \(0.504802\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 66190.5 | + | 48090.2i | 0.160094 | + | 0.116315i | 0.664948 | − | 0.746890i | \(-0.268454\pi\) |
−0.504854 | + | 0.863205i | \(0.668454\pi\) | |||||||
\(644\) | 52982.6 | − | 72924.2i | 0.127750 | − | 0.175833i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −183828. | + | 59729.2i | −0.440500 | + | 0.143127i | ||||
\(647\) | −290193. | + | 210838.i | −0.693232 | + | 0.503662i | −0.877721 | − | 0.479172i | \(-0.840937\pi\) |
0.184489 | + | 0.982835i | \(0.440937\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 280494. | + | 179729.i | 0.665938 | + | 0.426705i | ||||
\(650\) | 262378. | 0.621012 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 84681.3 | + | 260622.i | 0.199201 | + | 0.613079i | ||||
\(653\) | −18125.2 | + | 55783.5i | −0.0425065 | + | 0.130822i | −0.970058 | − | 0.242874i | \(-0.921910\pi\) |
0.927551 | + | 0.373696i | \(0.121910\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 169718. | − | 233597.i | 0.395591 | − | 0.544484i | ||||
\(656\) | 64023.3 | + | 20802.4i | 0.148775 | + | 0.0483400i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −101329. | + | 73619.7i | −0.234035 | + | 0.170036i | ||||
\(659\) | 203272.i | 0.468066i | 0.972229 | + | 0.234033i | \(0.0751924\pi\) | ||||
−0.972229 | + | 0.234033i | \(0.924808\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 354885. | 0.812241 | 0.406120 | − | 0.913820i | \(-0.366881\pi\) | ||||
0.406120 | + | 0.913820i | \(0.366881\pi\) | |||||||
\(662\) | −49746.3 | − | 68469.9i | −0.113513 | − | 0.156237i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −107209. | + | 329954.i | −0.243161 | + | 0.748373i | ||||
\(665\) | 424630. | + | 308512.i | 0.960214 | + | 0.697636i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −133638. | − | 43421.5i | −0.300384 | − | 0.0976007i | ||||
\(668\) | −488838. | + | 158833.i | −1.09550 | + | 0.355949i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 21255.5i | − | 0.0473502i | ||||||
\(671\) | −482278. | − | 588181.i | −1.07115 | − | 1.30637i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −38666.6 | − | 53220.0i | −0.0853701 | − | 0.117502i | 0.764196 | − | 0.644984i | \(-0.223136\pi\) |
−0.849566 | + | 0.527482i | \(0.823136\pi\) | |||||||
\(674\) | −14362.7 | − | 44203.9i | −0.0316167 | − | 0.0973062i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −27857.5 | − | 20239.6i | −0.0609605 | − | 0.0442904i | ||||
\(677\) | 166023. | − | 228511.i | 0.362236 | − | 0.498575i | −0.588534 | − | 0.808472i | \(-0.700295\pi\) |
0.950770 | + | 0.309897i | \(0.100295\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 171460. | − | 55710.6i | 0.371897 | − | 0.120837i | ||||
\(680\) | −388310. | + | 282124.i | −0.839772 | + | 0.610130i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 81148.5 | − | 126644.i | 0.174466 | − | 0.272281i | ||||
\(683\) | 295282. | 0.632987 | 0.316494 | − | 0.948595i | \(-0.397494\pi\) | ||||
0.316494 | + | 0.948595i | \(0.397494\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −278107. | − | 855924.i | −0.592693 | − | 1.82412i | ||||
\(686\) | −61181.6 | + | 188298.i | −0.130009 | + | 0.400126i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 225003. | − | 309690.i | 0.475348 | − | 0.654260i | ||||
\(689\) | −514081. | − | 167035.i | −1.08291 | − | 0.351860i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −122496. | + | 88998.6i | −0.256547 | + | 0.186392i | −0.708623 | − | 0.705587i | \(-0.750683\pi\) |
0.452077 | + | 0.891979i | \(0.350683\pi\) | |||||||
\(692\) | 294372.i | 0.614730i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 211103. | 0.438305 | ||||||||
\(695\) | 431225. | + | 593530.i | 0.892758 | + | 1.22878i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −41565.9 | + | 127927.i | −0.0855601 | + | 0.263327i | ||||
\(698\) | 204824. | + | 148814.i | 0.420408 | + | 0.305444i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 333739. | + | 108438.i | 0.681100 | + | 0.221303i | ||||
\(701\) | 63426.4 | − | 20608.5i | 0.129073 | − | 0.0419382i | −0.243768 | − | 0.969833i | \(-0.578384\pi\) |
0.372841 | + | 0.927895i | \(0.378384\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 1.13289e6i | − | 2.29233i | ||||||
\(704\) | −7745.37 | − | 19814.8i | −0.0156278 | − | 0.0399802i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −36699.8 | − | 50512.9i | −0.0736298 | − | 0.101343i | ||||
\(707\) | 22561.0 | + | 69435.5i | 0.0451356 | + | 0.138913i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3566.05 | − | 2590.88i | −0.00709406 | − | 0.00515413i | 0.584233 | − | 0.811586i | \(-0.301396\pi\) |
−0.591327 | + | 0.806432i | \(0.701396\pi\) | |||||||
\(710\) | 237465. | − | 326843.i | 0.471067 | − | 0.648368i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 312068. | − | 101397.i | 0.615587 | − | 0.200016i | ||||
\(713\) | 140133. | − | 101812.i | 0.275651 | − | 0.200272i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −745551. | − | 194897.i | −1.45836 | − | 0.381236i | ||||
\(716\) | 41703.4 | 0.0813477 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −53854.8 | − | 165748.i | −0.104466 | − | 0.321513i | ||||
\(719\) | −69071.6 | + | 212581.i | −0.133611 | + | 0.411212i | −0.995371 | − | 0.0961033i | \(-0.969362\pi\) |
0.861760 | + | 0.507315i | \(0.169362\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −155428. | + | 213929.i | −0.298992 | + | 0.411527i | ||||
\(722\) | −136985. | − | 44509.2i | −0.262784 | − | 0.0853838i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −421398. | + | 306163.i | −0.803924 | + | 0.584085i | ||||
\(725\) | − | 547027.i | − | 1.04072i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 774400. | 1.46520 | 0.732599 | − | 0.680660i | \(-0.238307\pi\) | ||||
0.732599 | + | 0.680660i | \(0.238307\pi\) | |||||||
\(728\) | −136564. | − | 187964.i | −0.257676 | − | 0.354661i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −63301.7 | + | 194823.i | −0.118787 | + | 0.365590i | ||||
\(731\) | 618799. | + | 449584.i | 1.15802 | + | 0.841349i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 350012. | + | 113726.i | 0.651441 | + | 0.211666i | 0.616049 | − | 0.787708i | \(-0.288732\pi\) |
0.0353914 | + | 0.999374i | \(0.488732\pi\) | |||||||
\(734\) | 214373. | − | 69654.1i | 0.397904 | − | 0.129287i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 244819.i | 0.451950i | ||||||||
\(737\) | −9484.69 | + | 36282.3i | −0.0174618 | + | 0.0667974i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −305723. | − | 420791.i | −0.559808 | − | 0.770509i | 0.431494 | − | 0.902116i | \(-0.357986\pi\) |
−0.991302 | + | 0.131606i | \(0.957986\pi\) | |||||||
\(740\) | −389622. | − | 1.19913e6i | −0.711509 | − | 2.18980i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 135234. | + | 98253.3i | 0.245628 | + | 0.178459i | ||||
\(743\) | 450699. | − | 620334.i | 0.816412 | − | 1.12369i | −0.173891 | − | 0.984765i | \(-0.555634\pi\) |
0.990302 | − | 0.138929i | \(-0.0443661\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −801523. | + | 260430.i | −1.44412 | + | 0.469223i | ||||
\(746\) | −210227. | + | 152739.i | −0.377755 | + | 0.274455i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 353493. | − | 138176.i | 0.631796 | − | 0.246962i | ||||
\(749\) | −315742. | −0.562819 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 162962. | + | 501545.i | 0.288939 | + | 0.889263i | 0.985190 | + | 0.171465i | \(0.0548500\pi\) |
−0.696251 | + | 0.717798i | \(0.745150\pi\) | |||||||
\(752\) | −93923.6 | + | 289067.i | −0.166088 | + | 0.511167i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −95411.8 | + | 131323.i | −0.167826 | + | 0.230993i | ||||
\(755\) | −930505. | − | 302339.i | −1.63239 | − | 0.530397i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 371072. | − | 269599.i | 0.647539 | − | 0.470465i | −0.214893 | − | 0.976638i | \(-0.568940\pi\) |
0.862432 | + | 0.506173i | \(0.168940\pi\) | |||||||
\(758\) | − | 383651.i | − | 0.667725i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −918640. | −1.59044 | ||||||||
\(761\) | 358387. | + | 493277.i | 0.618846 | + | 0.851769i | 0.997268 | − | 0.0738645i | \(-0.0235332\pi\) |
−0.378422 | + | 0.925633i | \(0.623533\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −137014. | + | 421685.i | −0.235350 | + | 0.724334i | ||||
\(764\) | −73940.7 | − | 53721.1i | −0.126677 | − | 0.0920361i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −36642.2 | − | 11905.8i | −0.0624487 | − | 0.0202908i | ||||
\(767\) | 421489. | − | 136950.i | 0.716466 | − | 0.232794i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 652888.i | 1.10404i | 0.833830 | + | 0.552022i | \(0.186143\pi\) | ||||
−0.833830 | + | 0.552022i | \(0.813857\pi\) | |||||||
\(770\) | 200649. | + | 128567.i | 0.338419 | + | 0.216845i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −331669. | − | 456503.i | −0.556507 | − | 0.765966i | ||||
\(773\) | 181494. | + | 558580.i | 0.303740 | + | 0.934817i | 0.980144 | + | 0.198286i | \(0.0635375\pi\) |
−0.676404 | + | 0.736531i | \(0.736463\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 545539. | + | 396357.i | 0.908285 | + | 0.659908i | ||||
\(776\) | −185467. | + | 255273.i | −0.307994 | + | 0.423918i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 286444. | − | 93071.3i | 0.473239 | − | 0.153765i | ||||
\(779\) | −208274. | + | 151320.i | −0.343211 | + | 0.249357i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −551188. | + | 451945.i | −0.903644 | + | 0.740940i | ||||
\(782\) | −101061. | −0.165261 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 58842.7 | + | 181099.i | 0.0957328 | + | 0.294635i | ||||
\(785\) | −43116.8 | + | 132700.i | −0.0699692 | + | 0.215343i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 129663. | − | 178466.i | 0.209347 | − | 0.288142i | −0.691412 | − | 0.722461i | \(-0.743011\pi\) |
0.900759 | + | 0.434319i | \(0.143011\pi\) | |||||||
\(788\) | 518126. | + | 168349.i | 0.834416 | + | 0.271118i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −256339. | + | 186241.i | −0.410734 | + | 0.298416i | ||||
\(791\) | − | 418180.i | − | 0.668359i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.01188e6 | −1.60910 | ||||||||
\(794\) | −62896.6 | − | 86569.8i | −0.0997668 | − | 0.137317i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −94934.6 | + | 292179.i | −0.149830 | + | 0.461129i | ||||
\(797\) | −340909. | − | 247685.i | −0.536688 | − | 0.389926i | 0.286166 | − | 0.958180i | \(-0.407619\pi\) |
−0.822853 | + | 0.568254i | \(0.807619\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −577592. | − | 187671.i | −0.904748 | − | 0.293971i | ||||
\(800\) | −906439. | + | 294520.i | −1.41631 | + | 0.460188i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 239679.i | 0.372633i | ||||||||
\(803\) | 194988. | − | 304308.i | 0.302396 | − | 0.471935i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 161306. | + | 222019.i | 0.248920 | + | 0.342609i | ||||
\(806\) | −61833.7 | − | 190304.i | −0.0951820 | − | 0.292940i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −103377. | − | 75107.9i | −0.158344 | − | 0.115044i | ||||
\(809\) | −723976. | + | 996468.i | −1.10618 | + | 1.52253i | −0.279261 | + | 0.960215i | \(0.590089\pi\) |
−0.826923 | + | 0.562316i | \(0.809911\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −140894. | + | 45779.2i | −0.214215 | + | 0.0696028i | −0.414159 | − | 0.910205i | \(-0.635924\pi\) |
0.199943 | + | 0.979807i | \(0.435924\pi\) | |||||||
\(812\) | −175637. | + | 127607.i | −0.266381 | + | 0.193537i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −30056.3 | − | 513482.i | −0.0453614 | − | 0.774955i | ||||
\(815\) | −834302. | −1.25605 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 452375. | + | 1.39227e6i | 0.677726 | + | 2.08583i | ||||
\(818\) | −120516. | + | 370910.i | −0.180110 | + | 0.554321i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −168411. | + | 231798.i | −0.250463 | + | 0.344733i | ||||
\(821\) | 605342. | + | 196687.i | 0.898078 | + | 0.291803i | 0.721444 | − | 0.692473i | \(-0.243479\pi\) |
0.176635 | + | 0.984276i | \(0.443479\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3262.96 | + | 2370.68i | −0.00481740 | + | 0.00350005i | −0.590191 | − | 0.807263i | \(-0.700948\pi\) |
0.585374 | + | 0.810763i | \(0.300948\pi\) | |||||||
\(824\) | − | 462811.i | − | 0.681630i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −137051. | −0.200874 | ||||||||
\(827\) | −96571.7 | − | 132920.i | −0.141201 | − | 0.194347i | 0.732559 | − | 0.680703i | \(-0.238326\pi\) |
−0.873761 | + | 0.486356i | \(0.838326\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 301205. | − | 927012.i | 0.438281 | − | 1.34889i | −0.451406 | − | 0.892319i | \(-0.649077\pi\) |
0.889687 | − | 0.456571i | \(-0.150923\pi\) | |||||||
\(830\) | −382984. | − | 278254.i | −0.555936 | − | 0.403911i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −26917.3 | − | 8745.95i | −0.0388852 | − | 0.0126346i | ||||
\(833\) | −361859. | + | 117575.i | −0.521494 | + | 0.169444i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 1.56486e6i | − | 2.24442i | ||||||
\(836\) | 702790. | + | 183719.i | 1.00557 | + | 0.262870i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −88439.8 | − | 121727.i | −0.125939 | − | 0.173340i | ||||
\(839\) | 167627. | + | 515903.i | 0.238133 | + | 0.732898i | 0.996690 | + | 0.0812920i | \(0.0259046\pi\) |
−0.758557 | + | 0.651606i | \(0.774095\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −298409. | − | 216807.i | −0.421910 | − | 0.306536i | ||||
\(842\) | 169220. | − | 232912.i | 0.238687 | − | 0.328524i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 104657. | − | 34005.1i | 0.146921 | − | 0.0477374i | ||||
\(845\) | 84812.5 | − | 61619.9i | 0.118781 | − | 0.0862993i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −285130. | − | 308993.i | −0.397444 | − | 0.430708i | ||||
\(848\) | 405644. | 0.564097 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −121577. | − | 374176.i | −0.168273 | − | 0.517890i | ||||
\(851\) | 183041. | − | 563342.i | 0.252749 | − | 0.777881i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −115572. | + | 159072.i | −0.158838 | + | 0.218622i | −0.881017 | − | 0.473084i | \(-0.843141\pi\) |
0.722179 | + | 0.691706i | \(0.243141\pi\) | |||||||
\(854\) | 297604. | + | 96697.3i | 0.408059 | + | 0.132586i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 447077. | − | 324820.i | 0.610147 | − | 0.443298i | ||||
\(857\) | 609696.i | 0.830141i | 0.909789 | + | 0.415070i | \(0.136243\pi\) | ||||
−0.909789 | + | 0.415070i | \(0.863757\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 364464. | 0.493933 | 0.246967 | − | 0.969024i | \(-0.420566\pi\) | ||||
0.246967 | + | 0.969024i | \(0.420566\pi\) | |||||||
\(860\) | 957655. | + | 1.31810e6i | 1.29483 | + | 1.78218i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 95051.5 | − | 292538.i | 0.127922 | − | 0.393703i | ||||
\(863\) | −461500. | − | 335299.i | −0.619655 | − | 0.450206i | 0.233146 | − | 0.972442i | \(-0.425098\pi\) |
−0.852801 | + | 0.522236i | \(0.825098\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −852356. | − | 276947.i | −1.13917 | − | 0.370139i | ||||
\(866\) | −46972.9 | + | 15262.4i | −0.0626342 | + | 0.0203511i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | − | 267619.i | − | 0.355203i | ||||||
\(869\) | 520665. | − | 203522.i | 0.689476 | − | 0.269508i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 29324.2 | + | 40361.3i | 0.0386536 | + | 0.0532022i | ||||
\(872\) | −239804. | − | 738040.i | −0.315372 | − | 0.970615i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −156482. | − | 113691.i | −0.204853 | − | 0.148834i | ||||
\(875\) | −210579. | + | 289836.i | −0.275041 | + | 0.378562i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.06203e6 | − | 345074.i | 1.38082 | − | 0.448656i | 0.477882 | − | 0.878424i | \(-0.341405\pi\) |
0.902939 | + | 0.429768i | \(0.141405\pi\) | |||||||
\(878\) | −292415. | + | 212452.i | −0.379324 | + | 0.275595i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 577309. | − | 33792.4i | 0.745492 | − | 0.0436368i | ||||
\(881\) | 134195. | 0.172896 | 0.0864480 | − | 0.996256i | \(-0.472448\pi\) | ||||
0.0864480 | + | 0.996256i | \(0.472448\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 435707. | + | 1.34097e6i | 0.558821 | + | 1.71988i | 0.685632 | + | 0.727948i | \(0.259526\pi\) |
−0.126811 | + | 0.991927i | \(0.540474\pi\) | |||||||
\(884\) | 156026. | − | 480199.i | 0.199661 | − | 0.614493i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −217143. | + | 298872.i | −0.276617 | + | 0.380731i | ||||
\(887\) | 367764. | + | 119494.i | 0.467436 | + | 0.151879i | 0.533259 | − | 0.845952i | \(-0.320967\pi\) |
−0.0658229 | + | 0.997831i | \(0.520967\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 344924. | − | 250602.i | 0.436436 | − | 0.317089i | ||||
\(890\) | 447732.i | 0.565247i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −669795. | −0.841806 | ||||||||
\(893\) | −683215. | − | 940365.i | −0.856751 | − | 1.17922i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −39234.9 | + | 120752.i | −0.0489808 | + | 0.150747i | ||||
\(896\) | 383850. | + | 278883.i | 0.478129 | + | 0.347381i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 102843. | + | 33415.6i | 0.127533 | + | 0.0414378i | ||||
\(899\) | −396763. | + | 128916.i | −0.490921 | + | 0.159510i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 810528.i | 0.998432i | ||||||||
\(902\) | −90385.8 | + | 74111.6i | −0.111093 | + | 0.0910905i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 430203. | + | 592124.i | 0.526425 | + | 0.724562i | ||||
\(905\) | −490044. | − | 1.50820e6i | −0.598326 | − | 1.84146i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 187545. | + | 136259.i | 0.227977 | + | 0.165635i | 0.695910 | − | 0.718129i | \(-0.255001\pi\) |
−0.467933 | + | 0.883764i | \(0.655001\pi\) | |||||||
\(908\) | 133001. | − | 183060.i | 0.161318 | − | 0.222035i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 301509. | − | 97966.1i | 0.364097 | − | 0.118302i | ||||
\(911\) | 64995.6 | − | 47222.0i | 0.0783154 | − | 0.0568994i | −0.547939 | − | 0.836519i | \(-0.684587\pi\) |
0.626254 | + | 0.779619i | \(0.284587\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 529575. | + | 645865.i | 0.635310 | + | 0.774818i | ||||
\(914\) | 591152. | 0.707630 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −278119. | − | 855961.i | −0.331466 | − | 1.02015i | ||||
\(917\) | 64763.7 | − | 199322.i | 0.0770181 | − | 0.237037i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −438830. | + | 603998.i | −0.519596 | + | 0.715162i | −0.985501 | − | 0.169673i | \(-0.945729\pi\) |
0.465905 | + | 0.884835i | \(0.345729\pi\) | |||||||
\(920\) | −456805. | − | 148425.i | −0.539703 | − | 0.175360i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 92789.0 | − | 67415.2i | 0.109153 | − | 0.0793041i | ||||
\(923\) | 948238.i | 1.11305i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.30596e6 | 2.69506 | ||||||||
\(926\) | 260032. | + | 357904.i | 0.303253 | + | 0.417392i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 182210. | − | 560784.i | 0.211580 | − | 0.651178i | ||||
\(929\) | 620024. | + | 450474.i | 0.718418 | + | 0.521961i | 0.885878 | − | 0.463917i | \(-0.153557\pi\) |
−0.167460 | + | 0.985879i | \(0.553557\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −692570. | − | 225030.i | −0.799032 | − | 0.259621i | ||||
\(932\) | −393828. | + | 127963.i | −0.453393 | + | 0.147316i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 210122.i | − | 0.240867i | ||||||
\(935\) | 67521.4 | + | 1.15354e6i | 0.0772357 | + | 1.31950i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 583554. | + | 803193.i | 0.664664 | + | 0.914831i | 0.999625 | − | 0.0274011i | \(-0.00872312\pi\) |
−0.334961 | + | 0.942232i | \(0.608723\pi\) | |||||||
\(938\) | −4767.53 | − | 14672.9i | −0.00541861 | − | 0.0166768i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.04658e6 | − | 760382.i | −1.18445 | − | 0.860550i | ||||
\(941\) | 971018. | − | 1.33649e6i | 1.09660 | − | 1.50934i | 0.256782 | − | 0.966469i | \(-0.417338\pi\) |
0.839817 | − | 0.542870i | \(-0.182662\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −128016. | + | 41594.8i | −0.143959 | + | 0.0467752i | ||||
\(944\) | −269065. | + | 195487.i | −0.301935 | + | 0.219369i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 241977. | + | 619044.i | 0.270391 | + | 0.691734i | ||||
\(947\) | −1.33055e6 | −1.48365 | −0.741827 | − | 0.670592i | \(-0.766040\pi\) | ||||
−0.741827 | + | 0.670592i | \(0.766040\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −148577. | − | 457273.i | −0.164975 | − | 0.507742i | ||||
\(950\) | 232689. | − | 716143.i | 0.257827 | − | 0.793510i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −204776. | + | 281850.i | −0.225946 | + | 0.310989i | ||||
\(953\) | 952556. | + | 309504.i | 1.04883 | + | 0.340785i | 0.782209 | − | 0.623016i | \(-0.214093\pi\) |
0.266620 | + | 0.963802i | \(0.414093\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 225114. | − | 163555.i | 0.246828 | − | 0.179331i | ||||
\(956\) | − | 1.44132e6i | − | 1.57705i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 102577. | 0.111768 | ||||||||
\(959\) | −383961. | − | 528477.i | −0.417493 | − | 0.574630i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −126468. | + | 389229.i | −0.136941 | + | 0.421462i | ||||
\(962\) | −553585. | − | 402203.i | −0.598184 | − | 0.434606i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 668452. | + | 217193.i | 0.719311 | + | 0.233718i | ||||
\(965\) | 1.63384e6 | − | 530868.i | 1.75451 | − | 0.570075i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 154811.i | − | 0.165558i | −0.996568 | − | 0.0827788i | \(-0.973621\pi\) | ||
0.996568 | − | 0.0827788i | \(-0.0263795\pi\) | |||||||
\(968\) | 721609. | + | 144193.i | 0.770107 | + | 0.153884i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −253070. | − | 348322.i | −0.268966 | − | 0.370200i | ||||
\(971\) | 448502. | + | 1.38035e6i | 0.475692 | + | 1.46403i | 0.845023 | + | 0.534730i | \(0.179587\pi\) |
−0.369331 | + | 0.929298i | \(0.620413\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 430806. | + | 312999.i | 0.455047 | + | 0.330611i | ||||
\(974\) | 110461. | − | 152037.i | 0.116437 | − | 0.160262i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 722196. | − | 234656.i | 0.758151 | − | 0.246338i | ||||
\(977\) | 1.24358e6 | − | 903512.i | 1.30282 | − | 0.946553i | 0.302840 | − | 0.953042i | \(-0.402065\pi\) |
0.999979 | + | 0.00648852i | \(0.00206538\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 199788. | − | 764261.i | 0.208451 | − | 0.797400i | ||||
\(980\) | −810460. | −0.843878 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 236109. | + | 726668.i | 0.244844 | + | 0.753552i | ||||
\(983\) | −37134.0 | + | 114287.i | −0.0384295 | + | 0.118274i | −0.968431 | − | 0.249282i | \(-0.919805\pi\) |
0.930001 | + | 0.367556i | \(0.119805\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −974912. | + | 1.34185e6i | −1.00483 | + | 1.38303i | ||||
\(986\) | 231490. | + | 75215.7i | 0.238111 | + | 0.0773668i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 781802. | − | 568012.i | 0.800908 | − | 0.581894i | ||||
\(989\) | 765411.i | 0.782532i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.11523e6 | −1.13558 | −0.567791 | − | 0.823173i | \(-0.692202\pi\) | ||||
−0.567791 | + | 0.823173i | \(0.692202\pi\) | |||||||
\(992\) | 427235. | + | 588039.i | 0.434154 | + | 0.597561i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 90615.5 | − | 278886.i | 0.0917128 | − | 0.282263i | ||||
\(995\) | −756690. | − | 549768.i | −0.764314 | − | 0.555307i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −709598. | − | 230562.i | −0.713875 | − | 0.231952i | −0.0705091 | − | 0.997511i | \(-0.522462\pi\) |
−0.643365 | + | 0.765559i | \(0.722462\pi\) | |||||||
\(998\) | 134756. | − | 43785.0i | 0.135297 | − | 0.0439607i | ||||
\(999\) | 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 | 99.5.k.c.19.3 | 32 | ||
3.2 | odd | 2 | 33.5.g.a.19.6 | yes | 32 | ||
11.7 | odd | 10 | inner | 99.5.k.c.73.3 | 32 | ||
33.2 | even | 10 | 363.5.c.e.241.21 | 32 | |||
33.20 | odd | 10 | 363.5.c.e.241.12 | 32 | |||
33.29 | even | 10 | 33.5.g.a.7.6 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.5.g.a.7.6 | ✓ | 32 | 33.29 | even | 10 | ||
33.5.g.a.19.6 | yes | 32 | 3.2 | odd | 2 | ||
99.5.k.c.19.3 | 32 | 1.1 | even | 1 | trivial | ||
99.5.k.c.73.3 | 32 | 11.7 | odd | 10 | inner | ||
363.5.c.e.241.12 | 32 | 33.20 | odd | 10 | |||
363.5.c.e.241.21 | 32 | 33.2 | even | 10 |