Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,5,Mod(5,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1, 4]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.5");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.p (of order \(8\), 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: | \(9.92351645605\) |
Analytic rank: | \(0\) |
Dimension: | \(248\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 5.9 | ||
Character | \(\chi\) | \(=\) | 96.5 |
Dual form | 96.5.p.a.77.9 |
$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{8}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.65028 | − | 1.63569i | −0.912569 | − | 0.408923i | ||||
\(3\) | 8.46217 | + | 3.06458i | 0.940241 | + | 0.340509i | ||||
\(4\) | 10.6490 | + | 11.9414i | 0.665565 | + | 0.746340i | ||||
\(5\) | −0.344704 | + | 0.832190i | −0.0137882 | + | 0.0332876i | −0.930624 | − | 0.365978i | \(-0.880735\pi\) |
0.916836 | + | 0.399265i | \(0.130735\pi\) | |||||||
\(6\) | −25.8766 | − | 25.0281i | −0.718794 | − | 0.695224i | ||||
\(7\) | 38.0513 | + | 38.0513i | 0.776558 | + | 0.776558i | 0.979244 | − | 0.202686i | \(-0.0649671\pi\) |
−0.202686 | + | 0.979244i | \(0.564967\pi\) | |||||||
\(8\) | −19.3394 | − | 61.0081i | −0.302179 | − | 0.953251i | ||||
\(9\) | 62.2167 | + | 51.8660i | 0.768108 | + | 0.640321i | ||||
\(10\) | 2.61947 | − | 2.47389i | 0.0261947 | − | 0.0247389i | ||||
\(11\) | 2.53448 | + | 1.04982i | 0.0209462 | + | 0.00867618i | 0.393132 | − | 0.919482i | \(-0.371392\pi\) |
−0.372186 | + | 0.928158i | \(0.621392\pi\) | |||||||
\(12\) | 53.5185 | + | 133.685i | 0.371656 | + | 0.928370i | ||||
\(13\) | −207.043 | + | 85.7601i | −1.22511 | + | 0.507456i | −0.899030 | − | 0.437887i | \(-0.855727\pi\) |
−0.326077 | + | 0.945343i | \(0.605727\pi\) | |||||||
\(14\) | −76.6577 | − | 201.138i | −0.391111 | − | 1.02621i | ||||
\(15\) | −5.46726 | + | 5.98576i | −0.0242989 | + | 0.0266034i | ||||
\(16\) | −29.1961 | + | 254.330i | −0.114047 | + | 0.993475i | ||||
\(17\) | −15.2288 | −0.0526949 | −0.0263474 | − | 0.999653i | \(-0.508388\pi\) | ||||
−0.0263474 | + | 0.999653i | \(0.508388\pi\) | |||||||
\(18\) | −142.272 | − | 291.092i | −0.439110 | − | 0.898433i | ||||
\(19\) | 71.9968 | − | 29.8220i | 0.199437 | − | 0.0826095i | −0.280729 | − | 0.959787i | \(-0.590576\pi\) |
0.480166 | + | 0.877177i | \(0.340576\pi\) | |||||||
\(20\) | −13.6083 | + | 4.74575i | −0.0340208 | + | 0.0118644i | ||||
\(21\) | 205.386 | + | 438.608i | 0.465727 | + | 0.994576i | ||||
\(22\) | −7.53439 | − | 7.97776i | −0.0155669 | − | 0.0164830i | ||||
\(23\) | 417.892 | + | 417.892i | 0.789966 | + | 0.789966i | 0.981488 | − | 0.191522i | \(-0.0613423\pi\) |
−0.191522 | + | 0.981488i | \(0.561342\pi\) | |||||||
\(24\) | 23.3105 | − | 575.528i | 0.0404697 | − | 0.999181i | ||||
\(25\) | 441.368 | + | 441.368i | 0.706189 | + | 0.706189i | ||||
\(26\) | 896.042 | + | 25.6104i | 1.32551 | + | 0.0378852i | ||||
\(27\) | 367.541 | + | 629.567i | 0.504172 | + | 0.863603i | ||||
\(28\) | −49.1778 | + | 859.598i | −0.0627267 | + | 1.09643i | ||||
\(29\) | −336.642 | + | 139.442i | −0.400288 | + | 0.165805i | −0.573740 | − | 0.819038i | \(-0.694508\pi\) |
0.173452 | + | 0.984842i | \(0.444508\pi\) | |||||||
\(30\) | 29.7479 | − | 12.9069i | 0.0330532 | − | 0.0143410i | ||||
\(31\) | 1127.72 | 1.17349 | 0.586745 | − | 0.809772i | \(-0.300409\pi\) | ||||
0.586745 | + | 0.809772i | \(0.300409\pi\) | |||||||
\(32\) | 522.578 | − | 880.618i | 0.510330 | − | 0.859978i | ||||
\(33\) | 18.2300 | + | 16.6509i | 0.0167401 | + | 0.0152901i | ||||
\(34\) | 55.5894 | + | 24.9096i | 0.0480877 | + | 0.0215481i | ||||
\(35\) | −44.7824 | + | 18.5495i | −0.0365570 | + | 0.0151424i | ||||
\(36\) | 43.1934 | + | 1295.28i | 0.0333283 | + | 0.999444i | ||||
\(37\) | 1039.33 | + | 430.506i | 0.759192 | + | 0.314468i | 0.728486 | − | 0.685061i | \(-0.240224\pi\) |
0.0307062 | + | 0.999528i | \(0.490224\pi\) | |||||||
\(38\) | −311.588 | − | 8.90572i | −0.215781 | − | 0.00616740i | ||||
\(39\) | −2014.85 | + | 91.2166i | −1.32469 | + | 0.0599714i | ||||
\(40\) | 57.4367 | + | 4.93568i | 0.0358979 | + | 0.00308480i | ||||
\(41\) | −800.472 | − | 800.472i | −0.476188 | − | 0.476188i | 0.427722 | − | 0.903910i | \(-0.359316\pi\) |
−0.903910 | + | 0.427722i | \(0.859316\pi\) | |||||||
\(42\) | −32.2872 | − | 1936.99i | −0.0183034 | − | 1.09807i | ||||
\(43\) | −21.1600 | + | 51.0848i | −0.0114440 | + | 0.0276283i | −0.929498 | − | 0.368826i | \(-0.879760\pi\) |
0.918054 | + | 0.396455i | \(0.129760\pi\) | |||||||
\(44\) | 14.4535 | + | 41.4449i | 0.00746564 | + | 0.0214075i | ||||
\(45\) | −64.6087 | + | 33.8977i | −0.0319055 | + | 0.0167396i | ||||
\(46\) | −841.880 | − | 2208.96i | −0.397864 | − | 1.04393i | ||||
\(47\) | −3946.50 | −1.78656 | −0.893278 | − | 0.449504i | \(-0.851601\pi\) | ||||
−0.893278 | + | 0.449504i | \(0.851601\pi\) | |||||||
\(48\) | −1026.48 | + | 2062.71i | −0.445519 | + | 0.895273i | ||||
\(49\) | 494.806i | 0.206083i | ||||||||
\(50\) | −889.174 | − | 2333.06i | −0.355670 | − | 0.933223i | ||||
\(51\) | −128.869 | − | 46.6699i | −0.0495459 | − | 0.0179431i | ||||
\(52\) | −3228.91 | − | 1559.13i | −1.19412 | − | 0.576602i | ||||
\(53\) | 1603.37 | + | 664.139i | 0.570799 | + | 0.236433i | 0.649366 | − | 0.760476i | \(-0.275034\pi\) |
−0.0785670 | + | 0.996909i | \(0.525034\pi\) | |||||||
\(54\) | −311.851 | − | 2899.28i | −0.106945 | − | 0.994265i | ||||
\(55\) | −1.74730 | + | 1.74730i | −0.000577618 | + | 0.000577618i | ||||
\(56\) | 1585.55 | − | 3057.33i | 0.505596 | − | 0.974914i | ||||
\(57\) | 700.641 | − | 31.7195i | 0.215648 | − | 0.00976284i | ||||
\(58\) | 1456.92 | + | 41.6414i | 0.433092 | + | 0.0123785i | ||||
\(59\) | 1162.45 | − | 2806.41i | 0.333942 | − | 0.806207i | −0.664330 | − | 0.747440i | \(-0.731283\pi\) |
0.998272 | − | 0.0587674i | \(-0.0187170\pi\) | |||||||
\(60\) | −129.700 | − | 1.54437i | −0.0360277 | − | 0.000428993i | ||||
\(61\) | 568.974 | + | 1373.63i | 0.152909 | + | 0.369155i | 0.981708 | − | 0.190391i | \(-0.0609756\pi\) |
−0.828799 | + | 0.559546i | \(0.810976\pi\) | |||||||
\(62\) | −4116.50 | − | 1844.61i | −1.07089 | − | 0.479866i | ||||
\(63\) | 393.859 | + | 4341.00i | 0.0992338 | + | 1.09373i | ||||
\(64\) | −3347.97 | + | 2359.72i | −0.817376 | + | 0.576104i | ||||
\(65\) | − | 201.861i | − | 0.0477778i | ||||||
\(66\) | −39.3089 | − | 90.5989i | −0.00902407 | − | 0.0207986i | ||||
\(67\) | −3276.00 | − | 7908.95i | −0.729783 | − | 1.76185i | −0.643320 | − | 0.765597i | \(-0.722444\pi\) |
−0.0864626 | − | 0.996255i | \(-0.527556\pi\) | |||||||
\(68\) | −162.172 | − | 181.854i | −0.0350718 | − | 0.0393283i | ||||
\(69\) | 2255.61 | + | 4816.94i | 0.473769 | + | 1.01175i | ||||
\(70\) | 193.809 | + | 5.53940i | 0.0395529 | + | 0.00113049i | ||||
\(71\) | −4532.91 | + | 4532.91i | −0.899208 | + | 0.899208i | −0.995366 | − | 0.0961584i | \(-0.969344\pi\) |
0.0961584 | + | 0.995366i | \(0.469344\pi\) | |||||||
\(72\) | 1961.01 | − | 4798.78i | 0.378281 | − | 0.925691i | ||||
\(73\) | 5707.25 | − | 5707.25i | 1.07098 | − | 1.07098i | 0.0736989 | − | 0.997281i | \(-0.476520\pi\) |
0.997281 | − | 0.0736989i | \(-0.0234804\pi\) | |||||||
\(74\) | −3089.68 | − | 3271.50i | −0.564222 | − | 0.597424i | ||||
\(75\) | 2382.33 | + | 5087.54i | 0.423524 | + | 0.904451i | ||||
\(76\) | 1122.81 | + | 542.169i | 0.194393 | + | 0.0938659i | ||||
\(77\) | 56.4935 | + | 136.387i | 0.00952834 | + | 0.0230034i | ||||
\(78\) | 7503.97 | + | 2962.71i | 1.23339 | + | 0.486967i | ||||
\(79\) | 807.914i | 0.129453i | 0.997903 | + | 0.0647263i | \(0.0206174\pi\) | ||||
−0.997903 | + | 0.0647263i | \(0.979383\pi\) | |||||||
\(80\) | −201.587 | − | 111.965i | −0.0314979 | − | 0.0174946i | ||||
\(81\) | 1180.84 | + | 6453.86i | 0.179979 | + | 0.983671i | ||||
\(82\) | 1612.62 | + | 4231.27i | 0.239830 | + | 0.629278i | ||||
\(83\) | 285.700 | + | 689.741i | 0.0414720 | + | 0.100122i | 0.943258 | − | 0.332060i | \(-0.107744\pi\) |
−0.901786 | + | 0.432182i | \(0.857744\pi\) | |||||||
\(84\) | −3050.45 | + | 7123.35i | −0.432321 | + | 1.00955i | ||||
\(85\) | 5.24944 | − | 12.6733i | 0.000726566 | − | 0.00175409i | ||||
\(86\) | 160.799 | − | 151.862i | 0.0217413 | − | 0.0205331i | ||||
\(87\) | −3276.06 | + | 148.314i | −0.432826 | + | 0.0195949i | ||||
\(88\) | 15.0319 | − | 174.927i | 0.00194110 | − | 0.0225887i | ||||
\(89\) | 7797.51 | − | 7797.51i | 0.984409 | − | 0.984409i | −0.0154710 | − | 0.999880i | \(-0.504925\pi\) |
0.999880 | + | 0.0154710i | \(0.00492477\pi\) | |||||||
\(90\) | 291.286 | − | 18.0561i | 0.0359612 | − | 0.00222915i | ||||
\(91\) | −11141.5 | − | 4614.98i | −1.34544 | − | 0.557297i | ||||
\(92\) | −540.086 | + | 9440.38i | −0.0638098 | + | 1.11536i | ||||
\(93\) | 9542.99 | + | 3456.00i | 1.10336 | + | 0.399584i | ||||
\(94\) | 14405.8 | + | 6455.26i | 1.63036 | + | 0.730563i | ||||
\(95\) | 70.1948i | 0.00777781i | ||||||||
\(96\) | 7120.87 | − | 5850.46i | 0.772664 | − | 0.634815i | ||||
\(97\) | 8083.81 | 0.859157 | 0.429579 | − | 0.903029i | \(-0.358662\pi\) | ||||
0.429579 | + | 0.903029i | \(0.358662\pi\) | |||||||
\(98\) | 809.350 | − | 1806.18i | 0.0842721 | − | 0.188065i | ||||
\(99\) | 103.237 | + | 196.770i | 0.0105334 | + | 0.0200765i | ||||
\(100\) | −570.427 | + | 9970.71i | −0.0570427 | + | 0.997071i | ||||
\(101\) | 5698.12 | − | 13756.5i | 0.558584 | − | 1.34854i | −0.352303 | − | 0.935886i | \(-0.614601\pi\) |
0.910887 | − | 0.412655i | \(-0.135399\pi\) | |||||||
\(102\) | 394.070 | + | 381.148i | 0.0378767 | + | 0.0366347i | ||||
\(103\) | −10224.9 | − | 10224.9i | −0.963796 | − | 0.963796i | 0.0355712 | − | 0.999367i | \(-0.488675\pi\) |
−0.999367 | + | 0.0355712i | \(0.988675\pi\) | |||||||
\(104\) | 9236.15 | + | 10972.8i | 0.853934 | + | 1.01449i | ||||
\(105\) | −435.802 | + | 19.7297i | −0.0395286 | + | 0.00178954i | ||||
\(106\) | −4766.43 | − | 5046.91i | −0.424211 | − | 0.449174i | ||||
\(107\) | −16101.5 | − | 6669.47i | −1.40637 | − | 0.582537i | −0.454972 | − | 0.890506i | \(-0.650351\pi\) |
−0.951397 | + | 0.307969i | \(0.900351\pi\) | |||||||
\(108\) | −3603.98 | + | 11093.3i | −0.308983 | + | 0.951068i | ||||
\(109\) | −15167.0 | + | 6282.36i | −1.27657 | + | 0.528773i | −0.914956 | − | 0.403554i | \(-0.867775\pi\) |
−0.361616 | + | 0.932327i | \(0.617775\pi\) | |||||||
\(110\) | 9.23614 | − | 3.52008i | 0.000763318 | − | 0.000290915i | ||||
\(111\) | 7475.70 | + | 6828.14i | 0.606745 | + | 0.554187i | ||||
\(112\) | −10788.5 | + | 8566.63i | −0.860055 | + | 0.682927i | ||||
\(113\) | 10419.4 | 0.815995 | 0.407998 | − | 0.912983i | \(-0.366227\pi\) | ||||
0.407998 | + | 0.912983i | \(0.366227\pi\) | |||||||
\(114\) | −2609.42 | − | 1030.25i | −0.200786 | − | 0.0792742i | ||||
\(115\) | −491.815 | + | 203.716i | −0.0371883 | + | 0.0154039i | ||||
\(116\) | −5250.05 | − | 2535.07i | −0.390165 | − | 0.188397i | ||||
\(117\) | −17329.6 | − | 5402.79i | −1.26595 | − | 0.394681i | ||||
\(118\) | −8833.68 | + | 8342.75i | −0.634421 | + | 0.599163i | ||||
\(119\) | −579.477 | − | 579.477i | −0.0409206 | − | 0.0409206i | ||||
\(120\) | 470.913 | + | 217.786i | 0.0327023 | + | 0.0151240i | ||||
\(121\) | −10347.4 | − | 10347.4i | −0.706743 | − | 0.706743i | ||||
\(122\) | 169.912 | − | 5944.78i | 0.0114158 | − | 0.399407i | ||||
\(123\) | −4320.62 | − | 9226.84i | −0.285585 | − | 0.609878i | ||||
\(124\) | 12009.2 | + | 13466.6i | 0.781034 | + | 0.875823i | ||||
\(125\) | −1039.56 | + | 430.601i | −0.0665320 | + | 0.0275584i | ||||
\(126\) | 5662.83 | − | 16490.1i | 0.356691 | − | 1.03868i | ||||
\(127\) | 21167.9 | 1.31241 | 0.656207 | − | 0.754581i | \(-0.272160\pi\) | ||||
0.656207 | + | 0.754581i | \(0.272160\pi\) | |||||||
\(128\) | 16080.8 | − | 3137.39i | 0.981494 | − | 0.191491i | ||||
\(129\) | −335.613 | + | 367.442i | −0.0201679 | + | 0.0220805i | ||||
\(130\) | −330.182 | + | 736.849i | −0.0195374 | + | 0.0436005i | ||||
\(131\) | 12865.1 | − | 5328.89i | 0.749670 | − | 0.310523i | 0.0250631 | − | 0.999686i | \(-0.492021\pi\) |
0.724607 | + | 0.689162i | \(0.242021\pi\) | |||||||
\(132\) | −4.70348 | + | 395.008i | −0.000269943 | + | 0.0226703i | ||||
\(133\) | 3874.34 | + | 1604.80i | 0.219025 | + | 0.0907233i | ||||
\(134\) | −978.307 | + | 34228.4i | −0.0544836 | + | 1.90624i | ||||
\(135\) | −650.612 | + | 88.8496i | −0.0356989 | + | 0.00487515i | ||||
\(136\) | 294.517 | + | 929.081i | 0.0159233 | + | 0.0502315i | ||||
\(137\) | 25518.9 | + | 25518.9i | 1.35963 | + | 1.35963i | 0.874370 | + | 0.485260i | \(0.161275\pi\) |
0.485260 | + | 0.874370i | \(0.338725\pi\) | |||||||
\(138\) | −354.589 | − | 21272.6i | −0.0186194 | − | 1.11703i | ||||
\(139\) | 3422.43 | − | 8262.49i | 0.177135 | − | 0.427643i | −0.810228 | − | 0.586115i | \(-0.800657\pi\) |
0.987363 | + | 0.158472i | \(0.0506568\pi\) | |||||||
\(140\) | −698.397 | − | 337.232i | −0.0356325 | − | 0.0172057i | ||||
\(141\) | −33396.0 | − | 12094.4i | −1.67979 | − | 0.608338i | ||||
\(142\) | 23960.8 | − | 9131.93i | 1.18830 | − | 0.452883i | ||||
\(143\) | −614.780 | −0.0300641 | ||||||||
\(144\) | −15007.5 | + | 14309.3i | −0.723743 | + | 0.690069i | ||||
\(145\) | − | 328.217i | − | 0.0156108i | ||||||
\(146\) | −30168.3 | + | 11497.7i | −1.41529 | + | 0.539395i | ||||
\(147\) | −1516.37 | + | 4187.14i | −0.0701732 | + | 0.193768i | ||||
\(148\) | 5927.04 | + | 16995.6i | 0.270592 | + | 0.775914i | ||||
\(149\) | −22277.8 | − | 9227.79i | −1.00346 | − | 0.415647i | −0.180396 | − | 0.983594i | \(-0.557738\pi\) |
−0.823065 | + | 0.567947i | \(0.807738\pi\) | |||||||
\(150\) | −374.508 | − | 22467.7i | −0.0166448 | − | 0.998563i | ||||
\(151\) | 15311.0 | − | 15311.0i | 0.671506 | − | 0.671506i | −0.286557 | − | 0.958063i | \(-0.592511\pi\) |
0.958063 | + | 0.286557i | \(0.0925109\pi\) | |||||||
\(152\) | −3211.76 | − | 3815.64i | −0.139013 | − | 0.165151i | ||||
\(153\) | −947.487 | − | 789.858i | −0.0404753 | − | 0.0337416i | ||||
\(154\) | 16.8706 | − | 590.258i | 0.000711359 | − | 0.0248886i | ||||
\(155\) | −388.731 | + | 938.480i | −0.0161803 | + | 0.0390627i | ||||
\(156\) | −22545.5 | − | 23088.9i | −0.926426 | − | 0.948754i | ||||
\(157\) | 2909.90 | + | 7025.11i | 0.118053 | + | 0.285006i | 0.971850 | − | 0.235601i | \(-0.0757058\pi\) |
−0.853797 | + | 0.520607i | \(0.825706\pi\) | |||||||
\(158\) | 1321.50 | − | 2949.11i | 0.0529361 | − | 0.118134i | ||||
\(159\) | 11532.7 | + | 10533.7i | 0.456181 | + | 0.416666i | ||||
\(160\) | 552.706 | + | 738.437i | 0.0215901 | + | 0.0288452i | ||||
\(161\) | 31802.7i | 1.22691i | ||||||||
\(162\) | 6246.13 | − | 25489.9i | 0.238002 | − | 0.971265i | ||||
\(163\) | −7276.26 | − | 17566.4i | −0.273863 | − | 0.661163i | 0.725779 | − | 0.687928i | \(-0.241480\pi\) |
−0.999642 | + | 0.0267647i | \(0.991480\pi\) | |||||||
\(164\) | 1034.53 | − | 18083.0i | 0.0384643 | − | 0.672332i | ||||
\(165\) | −20.1406 | + | 9.43119i | −0.000739785 | + | 0.000346417i | ||||
\(166\) | 85.3183 | − | 2985.06i | 0.00309618 | − | 0.108327i | ||||
\(167\) | −19098.8 | + | 19098.8i | −0.684816 | + | 0.684816i | −0.961081 | − | 0.276265i | \(-0.910903\pi\) |
0.276265 | + | 0.961081i | \(0.410903\pi\) | |||||||
\(168\) | 22786.6 | − | 21012.6i | 0.807348 | − | 0.744494i | ||||
\(169\) | 15316.4 | − | 15316.4i | 0.536269 | − | 0.536269i | ||||
\(170\) | −39.8914 | + | 37.6745i | −0.00138033 | + | 0.00130361i | ||||
\(171\) | 6026.15 | + | 1878.75i | 0.206086 | + | 0.0642507i | ||||
\(172\) | −835.360 | + | 291.323i | −0.0282369 | + | 0.00984731i | ||||
\(173\) | 1143.18 | + | 2759.89i | 0.0381965 | + | 0.0922145i | 0.941827 | − | 0.336099i | \(-0.109108\pi\) |
−0.903630 | + | 0.428314i | \(0.859108\pi\) | |||||||
\(174\) | 12201.1 | + | 4817.23i | 0.402996 | + | 0.159110i | ||||
\(175\) | 33589.3i | 1.09679i | ||||||||
\(176\) | −340.997 | + | 613.944i | −0.0110084 | + | 0.0198200i | ||||
\(177\) | 18437.3 | − | 20185.9i | 0.588506 | − | 0.644319i | ||||
\(178\) | −41217.4 | + | 15708.7i | −1.30089 | + | 0.495794i | ||||
\(179\) | −3000.85 | − | 7244.68i | −0.0936565 | − | 0.226107i | 0.870108 | − | 0.492861i | \(-0.164049\pi\) |
−0.963765 | + | 0.266754i | \(0.914049\pi\) | |||||||
\(180\) | −1092.81 | − | 410.543i | −0.0337286 | − | 0.0126711i | ||||
\(181\) | 18498.4 | − | 44659.1i | 0.564648 | − | 1.36318i | −0.341365 | − | 0.939931i | \(-0.610889\pi\) |
0.906013 | − | 0.423250i | \(-0.139111\pi\) | |||||||
\(182\) | 33121.1 | + | 35070.1i | 0.999911 | + | 1.05875i | ||||
\(183\) | 605.175 | + | 13367.5i | 0.0180709 | + | 0.399162i | ||||
\(184\) | 17413.0 | − | 33576.6i | 0.514326 | − | 0.991747i | ||||
\(185\) | −716.526 | + | 716.526i | −0.0209357 | + | 0.0209357i | ||||
\(186\) | −29181.6 | − | 28224.7i | −0.843497 | − | 0.815838i | ||||
\(187\) | −38.5972 | − | 15.9875i | −0.00110375 | − | 0.000457190i | ||||
\(188\) | −42026.5 | − | 47126.9i | −1.18907 | − | 1.33338i | ||||
\(189\) | −9970.42 | + | 37941.3i | −0.279119 | + | 1.06216i | ||||
\(190\) | 114.817 | − | 256.230i | 0.00318052 | − | 0.00709779i | ||||
\(191\) | − | 8365.75i | − | 0.229318i | −0.993405 | − | 0.114659i | \(-0.963422\pi\) | ||
0.993405 | − | 0.114659i | \(-0.0365775\pi\) | |||||||
\(192\) | −35562.7 | + | 9708.25i | −0.964699 | + | 0.263353i | ||||
\(193\) | −40873.2 | −1.09730 | −0.548648 | − | 0.836054i | \(-0.684857\pi\) | ||||
−0.548648 | + | 0.836054i | \(0.684857\pi\) | |||||||
\(194\) | −29508.2 | − | 13222.6i | −0.784041 | − | 0.351329i | ||||
\(195\) | 618.619 | − | 1708.18i | 0.0162687 | − | 0.0449226i | ||||
\(196\) | −5908.70 | + | 5269.21i | −0.153808 | + | 0.137162i | ||||
\(197\) | −18825.0 | + | 45447.5i | −0.485067 | + | 1.17105i | 0.472107 | + | 0.881541i | \(0.343494\pi\) |
−0.957174 | + | 0.289514i | \(0.906506\pi\) | |||||||
\(198\) | −54.9910 | − | 887.128i | −0.00140269 | − | 0.0226285i | ||||
\(199\) | 20436.1 | + | 20436.1i | 0.516051 | + | 0.516051i | 0.916374 | − | 0.400323i | \(-0.131102\pi\) |
−0.400323 | + | 0.916374i | \(0.631102\pi\) | |||||||
\(200\) | 18391.2 | − | 35462.8i | 0.459780 | − | 0.886571i | ||||
\(201\) | −3484.43 | − | 76966.5i | −0.0862462 | − | 1.90506i | ||||
\(202\) | −43301.0 | + | 40894.6i | −1.06120 | + | 1.00222i | ||||
\(203\) | −18115.6 | − | 7503.74i | −0.439604 | − | 0.182090i | ||||
\(204\) | −815.023 | − | 2035.87i | −0.0195844 | − | 0.0489204i | ||||
\(205\) | 942.071 | − | 390.218i | 0.0224169 | − | 0.00928539i | ||||
\(206\) | 20599.0 | + | 54048.5i | 0.485413 | + | 1.27365i | ||||
\(207\) | 4325.49 | + | 47674.3i | 0.100947 | + | 1.11261i | ||||
\(208\) | −15766.5 | − | 55161.1i | −0.364425 | − | 1.27499i | ||||
\(209\) | 213.782 | 0.00489417 | ||||||||
\(210\) | 1623.07 | + | 640.819i | 0.0368043 | + | 0.0145310i | ||||
\(211\) | −52111.5 | + | 21585.3i | −1.17049 | + | 0.484834i | −0.881355 | − | 0.472454i | \(-0.843368\pi\) |
−0.289137 | + | 0.957288i | \(0.593368\pi\) | |||||||
\(212\) | 9143.60 | + | 26219.0i | 0.203444 | + | 0.583371i | ||||
\(213\) | −52249.7 | + | 24466.8i | −1.15166 | + | 0.539284i | ||||
\(214\) | 47865.8 | + | 50682.5i | 1.04520 | + | 1.10670i | ||||
\(215\) | −35.2183 | − | 35.2183i | −0.000761889 | − | 0.000761889i | ||||
\(216\) | 31300.6 | − | 34598.4i | 0.670881 | − | 0.741565i | ||||
\(217\) | 42911.4 | + | 42911.4i | 0.911283 | + | 0.911283i | ||||
\(218\) | 65639.6 | + | 1876.09i | 1.38119 | + | 0.0394767i | ||||
\(219\) | 65786.0 | − | 30805.4i | 1.37166 | − | 0.642301i | ||||
\(220\) | −39.4722 | − | 2.25822i | −0.000815542 | − | 4.66573e-5i | ||||
\(221\) | 3153.02 | − | 1306.02i | 0.0645569 | − | 0.0267403i | ||||
\(222\) | −16119.7 | − | 37152.5i | −0.327077 | − | 0.753846i | ||||
\(223\) | 61059.1 | 1.22784 | 0.613919 | − | 0.789369i | \(-0.289592\pi\) | ||||
0.613919 | + | 0.789369i | \(0.289592\pi\) | |||||||
\(224\) | 53393.5 | − | 13623.9i | 1.06412 | − | 0.271522i | ||||
\(225\) | 4568.48 | + | 50352.5i | 0.0902416 | + | 0.994616i | ||||
\(226\) | −38033.9 | − | 17043.0i | −0.744652 | − | 0.333679i | ||||
\(227\) | 34129.7 | − | 14137.0i | 0.662340 | − | 0.274350i | −0.0260829 | − | 0.999660i | \(-0.508303\pi\) |
0.688423 | + | 0.725310i | \(0.258303\pi\) | |||||||
\(228\) | 7839.93 | + | 8028.88i | 0.150814 | + | 0.154449i | ||||
\(229\) | −29454.1 | − | 12200.3i | −0.561662 | − | 0.232648i | 0.0837445 | − | 0.996487i | \(-0.473312\pi\) |
−0.645407 | + | 0.763839i | \(0.723312\pi\) | |||||||
\(230\) | 2128.48 | + | 60.8356i | 0.0402359 | + | 0.00115001i | ||||
\(231\) | 60.0879 | + | 1327.26i | 0.00112606 | + | 0.0248733i | ||||
\(232\) | 15017.6 | + | 17841.2i | 0.279012 | + | 0.331473i | ||||
\(233\) | 24948.6 | + | 24948.6i | 0.459553 | + | 0.459553i | 0.898509 | − | 0.438956i | \(-0.144652\pi\) |
−0.438956 | + | 0.898509i | \(0.644652\pi\) | |||||||
\(234\) | 54420.5 | + | 48067.5i | 0.993872 | + | 0.877848i | ||||
\(235\) | 1360.38 | − | 3284.24i | 0.0246333 | − | 0.0594702i | ||||
\(236\) | 45891.5 | − | 16004.2i | 0.823965 | − | 0.287349i | ||||
\(237\) | −2475.92 | + | 6836.71i | −0.0440797 | + | 0.121717i | ||||
\(238\) | 1167.41 | + | 3063.09i | 0.0206095 | + | 0.0540762i | ||||
\(239\) | 14068.0 | 0.246285 | 0.123142 | − | 0.992389i | \(-0.460703\pi\) | ||||
0.123142 | + | 0.992389i | \(0.460703\pi\) | |||||||
\(240\) | −1362.73 | − | 1565.25i | −0.0236586 | − | 0.0271744i | ||||
\(241\) | − | 51161.4i | − | 0.880863i | −0.897786 | − | 0.440432i | \(-0.854825\pi\) | ||
0.897786 | − | 0.440432i | \(-0.145175\pi\) | |||||||
\(242\) | 20845.8 | + | 54696.2i | 0.355949 | + | 0.933955i | ||||
\(243\) | −9785.90 | + | 58232.5i | −0.165725 | + | 0.986172i | ||||
\(244\) | −10344.0 | + | 21422.2i | −0.173744 | + | 0.359819i | ||||
\(245\) | −411.773 | − | 170.562i | −0.00686002 | − | 0.00284151i | ||||
\(246\) | 679.214 | + | 40747.7i | 0.0112237 | + | 0.673338i | ||||
\(247\) | −12348.9 | + | 12348.9i | −0.202411 | + | 0.202411i | ||||
\(248\) | −21809.5 | − | 68800.3i | −0.354603 | − | 1.11863i | ||||
\(249\) | 303.878 | + | 6712.26i | 0.00490118 | + | 0.108261i | ||||
\(250\) | 4499.02 | + | 128.590i | 0.0719843 | + | 0.00205744i | ||||
\(251\) | 30784.1 | − | 74319.3i | 0.488628 | − | 1.17965i | −0.466782 | − | 0.884372i | \(-0.654587\pi\) |
0.955411 | − | 0.295281i | \(-0.0954132\pi\) | |||||||
\(252\) | −47643.6 | + | 50930.7i | −0.750245 | + | 0.802007i | ||||
\(253\) | 620.431 | + | 1497.85i | 0.00969286 | + | 0.0234006i | ||||
\(254\) | −77268.8 | − | 34624.2i | −1.19767 | − | 0.536676i | ||||
\(255\) | 83.2599 | − | 91.1560i | 0.00128043 | − | 0.00140186i | ||||
\(256\) | −63831.2 | − | 14850.9i | −0.973986 | − | 0.226606i | ||||
\(257\) | 69691.3i | 1.05515i | 0.849510 | + | 0.527573i | \(0.176898\pi\) | ||||
−0.849510 | + | 0.527573i | \(0.823102\pi\) | |||||||
\(258\) | 1826.10 | − | 792.306i | 0.0274338 | − | 0.0119029i | ||||
\(259\) | 23166.7 | + | 55929.4i | 0.345354 | + | 0.833759i | ||||
\(260\) | 2410.51 | − | 2149.63i | 0.0356585 | − | 0.0317992i | ||||
\(261\) | −28177.1 | − | 8784.68i | −0.413633 | − | 0.128957i | ||||
\(262\) | −55677.5 | − | 1591.36i | −0.811106 | − | 0.0231828i | ||||
\(263\) | −75513.5 | + | 75513.5i | −1.09173 | + | 1.09173i | −0.0963805 | + | 0.995345i | \(0.530727\pi\) |
−0.995345 | + | 0.0963805i | \(0.969273\pi\) | |||||||
\(264\) | 663.280 | − | 1434.20i | 0.00951676 | − | 0.0205779i | ||||
\(265\) | −1105.38 | + | 1105.38i | −0.0157405 | + | 0.0157405i | ||||
\(266\) | −11517.5 | − | 12195.2i | −0.162777 | − | 0.172356i | ||||
\(267\) | 89879.9 | − | 42087.8i | 1.26078 | − | 0.590382i | ||||
\(268\) | 59558.1 | − | 123343.i | 0.829223 | − | 1.71729i | ||||
\(269\) | 24297.4 | + | 58659.2i | 0.335781 | + | 0.810646i | 0.998111 | + | 0.0614345i | \(0.0195675\pi\) |
−0.662330 | + | 0.749212i | \(0.730432\pi\) | |||||||
\(270\) | 2520.24 | + | 739.874i | 0.0345713 | + | 0.0101492i | ||||
\(271\) | 7709.36i | 0.104974i | 0.998622 | + | 0.0524868i | \(0.0167147\pi\) | ||||
−0.998622 | + | 0.0524868i | \(0.983285\pi\) | |||||||
\(272\) | 444.622 | − | 3873.14i | 0.00600970 | − | 0.0523511i | ||||
\(273\) | −80138.7 | − | 73196.9i | −1.07527 | − | 0.982127i | ||||
\(274\) | −51410.0 | − | 134892.i | −0.684773 | − | 1.79674i | ||||
\(275\) | 655.284 | + | 1582.00i | 0.00866492 | + | 0.0209190i | ||||
\(276\) | −33501.1 | + | 78231.0i | −0.439786 | + | 1.02698i | ||||
\(277\) | −9655.18 | + | 23309.7i | −0.125835 | + | 0.303792i | −0.974225 | − | 0.225580i | \(-0.927572\pi\) |
0.848390 | + | 0.529372i | \(0.177572\pi\) | |||||||
\(278\) | −26007.7 | + | 24562.3i | −0.336521 | + | 0.317819i | ||||
\(279\) | 70163.3 | + | 58490.5i | 0.901367 | + | 0.751410i | ||||
\(280\) | 1997.73 | + | 2373.35i | 0.0254813 | + | 0.0302723i | ||||
\(281\) | 79000.2 | − | 79000.2i | 1.00050 | − | 1.00050i | 0.000496359 | − | 1.00000i | \(-0.499842\pi\) |
1.00000 | 0.000496359i | \(-0.000157996\pi\) | ||||||||
\(282\) | 102122. | + | 98773.3i | 1.28417 | + | 1.24206i | ||||
\(283\) | 37091.5 | + | 15363.8i | 0.463129 | + | 0.191834i | 0.602032 | − | 0.798472i | \(-0.294358\pi\) |
−0.138903 | + | 0.990306i | \(0.544358\pi\) | |||||||
\(284\) | −102401. | − | 5858.36i | −1.26960 | − | 0.0726338i | ||||
\(285\) | −215.117 | + | 594.000i | −0.00264841 | + | 0.00731302i | ||||
\(286\) | 2244.12 | + | 1005.59i | 0.0274355 | + | 0.0122939i | ||||
\(287\) | − | 60918.0i | − | 0.739575i | ||||||
\(288\) | 78187.2 | − | 27685.1i | 0.942651 | − | 0.333781i | ||||
\(289\) | −83289.1 | −0.997223 | ||||||||
\(290\) | −536.861 | + | 1198.08i | −0.00638360 | + | 0.0142459i | ||||
\(291\) | 68406.6 | + | 24773.5i | 0.807815 | + | 0.292551i | ||||
\(292\) | 128929. | + | 7376.08i | 1.51212 | + | 0.0865088i | ||||
\(293\) | 15217.3 | − | 36737.7i | 0.177256 | − | 0.427934i | −0.810133 | − | 0.586246i | \(-0.800605\pi\) |
0.987389 | + | 0.158312i | \(0.0506052\pi\) | |||||||
\(294\) | 12384.0 | − | 12803.9i | 0.143274 | − | 0.148131i | ||||
\(295\) | 1934.76 | + | 1934.76i | 0.0222322 | + | 0.0222322i | ||||
\(296\) | 6164.24 | − | 71733.5i | 0.0703552 | − | 0.818726i | ||||
\(297\) | 270.597 | + | 1981.48i | 0.00306768 | + | 0.0224635i | ||||
\(298\) | 66226.5 | + | 70123.6i | 0.745760 | + | 0.789645i | ||||
\(299\) | −122360. | − | 50683.2i | −1.36867 | − | 0.566920i | ||||
\(300\) | −35383.1 | + | 82625.8i | −0.393145 | + | 0.918064i | ||||
\(301\) | −2749.01 | + | 1138.68i | −0.0303420 | + | 0.0125681i | ||||
\(302\) | −80933.4 | + | 30845.3i | −0.887389 | + | 0.338202i | ||||
\(303\) | 90376.2 | − | 98947.3i | 0.984394 | − | 1.07775i | ||||
\(304\) | 5482.61 | + | 19181.6i | 0.0593253 | + | 0.207557i | ||||
\(305\) | −1339.24 | −0.0143966 | ||||||||
\(306\) | 2166.63 | + | 4432.99i | 0.0231388 | + | 0.0473428i | ||||
\(307\) | −133353. | + | 55236.8i | −1.41491 | + | 0.586073i | −0.953575 | − | 0.301155i | \(-0.902628\pi\) |
−0.461331 | + | 0.887228i | \(0.652628\pi\) | |||||||
\(308\) | −1027.06 | + | 2127.01i | −0.0108267 | + | 0.0224217i | ||||
\(309\) | −55189.9 | − | 117860.i | −0.578020 | − | 1.23438i | ||||
\(310\) | 2954.04 | − | 2789.87i | 0.0307392 | − | 0.0290309i | ||||
\(311\) | −124132. | − | 124132.i | −1.28340 | − | 1.28340i | −0.938721 | − | 0.344679i | \(-0.887988\pi\) |
−0.344679 | − | 0.938721i | \(-0.612012\pi\) | |||||||
\(312\) | 44531.0 | + | 121158.i | 0.457461 | + | 1.24464i | ||||
\(313\) | 56421.6 | + | 56421.6i | 0.575913 | + | 0.575913i | 0.933775 | − | 0.357861i | \(-0.116494\pi\) |
−0.357861 | + | 0.933775i | \(0.616494\pi\) | |||||||
\(314\) | 868.979 | − | 30403.3i | 0.00881353 | − | 0.308362i | ||||
\(315\) | −3748.30 | − | 1168.59i | −0.0377757 | − | 0.0117772i | ||||
\(316\) | −9647.66 | + | 8603.50i | −0.0966157 | + | 0.0861591i | ||||
\(317\) | 115713. | − | 47930.0i | 1.15150 | − | 0.476968i | 0.276465 | − | 0.961024i | \(-0.410837\pi\) |
0.875037 | + | 0.484057i | \(0.160837\pi\) | |||||||
\(318\) | −24867.7 | − | 57315.0i | −0.245913 | − | 0.566779i | ||||
\(319\) | −999.604 | −0.00982305 | ||||||||
\(320\) | −809.676 | − | 3599.56i | −0.00790700 | − | 0.0351519i | ||||
\(321\) | −115815. | − | 105783.i | −1.12397 | − | 1.02661i | ||||
\(322\) | 52019.4 | − | 116089.i | 0.501711 | − | 1.11964i | ||||
\(323\) | −1096.43 | + | 454.154i | −0.0105093 | + | 0.00435310i | ||||
\(324\) | −64493.6 | + | 82828.3i | −0.614365 | + | 0.789022i | ||||
\(325\) | −129234. | − | 53530.5i | −1.22352 | − | 0.506797i | ||||
\(326\) | −2172.90 | + | 76024.1i | −0.0204458 | + | 0.715346i | ||||
\(327\) | −147598. | + | 6682.07i | −1.38034 | + | 0.0624907i | ||||
\(328\) | −33354.6 | + | 64315.9i | −0.310033 | + | 0.597821i | ||||
\(329\) | −150170. | − | 150170.i | −1.38736 | − | 1.38736i | ||||
\(330\) | 88.9454 | − | 1.48261i | 0.000816762 | − | 1.36144e-5i | ||||
\(331\) | 67742.0 | − | 163544.i | 0.618304 | − | 1.49272i | −0.235368 | − | 0.971906i | \(-0.575630\pi\) |
0.853672 | − | 0.520811i | \(-0.174370\pi\) | |||||||
\(332\) | −5194.08 | + | 10756.8i | −0.0471229 | + | 0.0975900i | ||||
\(333\) | 42335.3 | + | 80690.8i | 0.381781 | + | 0.727672i | ||||
\(334\) | 100956. | − | 38476.3i | 0.904979 | − | 0.344905i | ||||
\(335\) | 7711.00 | 0.0687102 | ||||||||
\(336\) | −117548. | + | 39430.0i | −1.04120 | + | 0.349260i | ||||
\(337\) | 67647.8i | 0.595654i | 0.954620 | + | 0.297827i | \(0.0962618\pi\) | ||||
−0.954620 | + | 0.297827i | \(0.903738\pi\) | |||||||
\(338\) | −80961.9 | + | 30856.2i | −0.708675 | + | 0.270090i | ||||
\(339\) | 88171.1 | + | 31931.2i | 0.767233 | + | 0.277854i | ||||
\(340\) | 207.239 | − | 72.2722i | 0.00179272 | − | 0.000625192i | ||||
\(341\) | 2858.20 | + | 1183.90i | 0.0245801 | + | 0.0101814i | ||||
\(342\) | −18924.1 | − | 16714.9i | −0.161794 | − | 0.142906i | ||||
\(343\) | 72533.2 | − | 72533.2i | 0.616522 | − | 0.616522i | ||||
\(344\) | 3525.81 | + | 302.982i | 0.0297949 | + | 0.00256035i | ||||
\(345\) | −4786.13 | + | 216.678i | −0.0402111 | + | 0.00182044i | ||||
\(346\) | 341.387 | − | 11944.2i | 0.00285164 | − | 0.0997715i | ||||
\(347\) | 10296.8 | − | 24858.6i | 0.0855149 | − | 0.206451i | −0.875337 | − | 0.483513i | \(-0.839361\pi\) |
0.960852 | + | 0.277062i | \(0.0893606\pi\) | |||||||
\(348\) | −36657.9 | − | 37541.4i | −0.302698 | − | 0.309993i | ||||
\(349\) | 43222.1 | + | 104347.i | 0.354858 | + | 0.856704i | 0.996006 | + | 0.0892863i | \(0.0284586\pi\) |
−0.641148 | + | 0.767418i | \(0.721541\pi\) | |||||||
\(350\) | 54941.6 | − | 122610.i | 0.448503 | − | 1.00090i | ||||
\(351\) | −130089. | − | 98827.1i | −1.05591 | − | 0.802162i | ||||
\(352\) | 2248.95 | − | 1683.30i | 0.0181508 | − | 0.0135855i | ||||
\(353\) | 61575.1i | 0.494146i | 0.968997 | + | 0.247073i | \(0.0794688\pi\) | ||||
−0.968997 | + | 0.247073i | \(0.920531\pi\) | |||||||
\(354\) | −100319. | + | 43526.3i | −0.800529 | + | 0.347332i | ||||
\(355\) | −2209.73 | − | 5334.75i | −0.0175340 | − | 0.0423309i | ||||
\(356\) | 176149. | + | 10077.5i | 1.38989 | + | 0.0795160i | ||||
\(357\) | −3127.78 | − | 6679.48i | −0.0245414 | − | 0.0524091i | ||||
\(358\) | −896.139 | + | 31353.6i | −0.00699213 | + | 0.244636i | ||||
\(359\) | 85733.6 | − | 85733.6i | 0.665215 | − | 0.665215i | −0.291389 | − | 0.956605i | \(-0.594118\pi\) |
0.956605 | + | 0.291389i | \(0.0941176\pi\) | |||||||
\(360\) | 3317.53 | + | 3286.09i | 0.0255982 | + | 0.0253556i | ||||
\(361\) | −87856.7 | + | 87856.7i | −0.674156 | + | 0.674156i | ||||
\(362\) | −140573. | + | 132761.i | −1.07272 | + | 1.01310i | ||||
\(363\) | −55851.2 | − | 119272.i | −0.423857 | − | 0.905162i | ||||
\(364\) | −63537.2 | − | 182191.i | −0.479541 | − | 1.37507i | ||||
\(365\) | 2782.20 | + | 6716.83i | 0.0208835 | + | 0.0504172i | ||||
\(366\) | 19656.1 | − | 49785.0i | 0.146735 | − | 0.371652i | ||||
\(367\) | 197412.i | 1.46569i | 0.680398 | + | 0.732843i | \(0.261807\pi\) | ||||
−0.680398 | + | 0.732843i | \(0.738193\pi\) | |||||||
\(368\) | −118483. | + | 94081.6i | −0.874905 | + | 0.694719i | ||||
\(369\) | −8285.47 | − | 91320.0i | −0.0608506 | − | 0.670677i | ||||
\(370\) | 3787.53 | − | 1443.50i | 0.0276664 | − | 0.0105442i | ||||
\(371\) | 35739.1 | + | 86281.9i | 0.259655 | + | 0.626862i | ||||
\(372\) | 60354.1 | + | 150760.i | 0.436135 | + | 1.08943i | ||||
\(373\) | 66953.5 | − | 161640.i | 0.481233 | − | 1.16180i | −0.477791 | − | 0.878474i | \(-0.658562\pi\) |
0.959024 | − | 0.283326i | \(-0.0914377\pi\) | |||||||
\(374\) | 114.740 | + | 121.492i | 0.000820297 | + | 0.000868568i | ||||
\(375\) | −10116.6 | + | 457.998i | −0.0719400 | + | 0.00325687i | ||||
\(376\) | 76323.1 | + | 240769.i | 0.539859 | + | 1.70304i | ||||
\(377\) | 57741.0 | − | 57741.0i | 0.406257 | − | 0.406257i | ||||
\(378\) | 98455.0 | − | 122188.i | 0.689055 | − | 0.855153i | ||||
\(379\) | −85836.1 | − | 35554.5i | −0.597574 | − | 0.247523i | 0.0633313 | − | 0.997993i | \(-0.479828\pi\) |
−0.660905 | + | 0.750469i | \(0.729828\pi\) | |||||||
\(380\) | −838.227 | + | 747.507i | −0.00580489 | + | 0.00517664i | ||||
\(381\) | 179127. | + | 64870.8i | 1.23399 | + | 0.446888i | ||||
\(382\) | −13683.8 | + | 30537.3i | −0.0937732 | + | 0.209268i | ||||
\(383\) | 84374.1i | 0.575190i | 0.957752 | + | 0.287595i | \(0.0928557\pi\) | ||||
−0.957752 | + | 0.287595i | \(0.907144\pi\) | |||||||
\(384\) | 145693. | + | 22731.7i | 0.988046 | + | 0.154159i | ||||
\(385\) | −132.974 | −0.000897108 | ||||||||
\(386\) | 149198. | + | 66855.8i | 1.00136 | + | 0.448709i | ||||
\(387\) | −3966.07 | + | 2080.84i | −0.0264813 | + | 0.0138937i | ||||
\(388\) | 86084.8 | + | 96532.4i | 0.571825 | + | 0.641224i | ||||
\(389\) | −38367.5 | + | 92627.4i | −0.253551 | + | 0.612125i | −0.998486 | − | 0.0550116i | \(-0.982480\pi\) |
0.744935 | + | 0.667137i | \(0.232480\pi\) | |||||||
\(390\) | −5052.19 | + | 5223.47i | −0.0332162 | + | 0.0343423i | ||||
\(391\) | −6364.00 | − | 6364.00i | −0.0416272 | − | 0.0416272i | ||||
\(392\) | 30187.2 | − | 9569.27i | 0.196449 | − | 0.0622740i | ||||
\(393\) | 125197. | − | 5667.94i | 0.810607 | − | 0.0366978i | ||||
\(394\) | 143054. | − | 135104.i | 0.921528 | − | 0.870314i | ||||
\(395\) | −672.338 | − | 278.491i | −0.00430917 | − | 0.00178492i | ||||
\(396\) | −1250.34 | + | 3328.21i | −0.00797326 | + | 0.0212237i | ||||
\(397\) | 56976.9 | − | 23600.6i | 0.361508 | − | 0.149741i | −0.194534 | − | 0.980896i | \(-0.562319\pi\) |
0.556042 | + | 0.831154i | \(0.312319\pi\) | |||||||
\(398\) | −41170.4 | − | 108025.i | −0.259907 | − | 0.681957i | ||||
\(399\) | 27867.3 | + | 25453.4i | 0.175045 | + | 0.159882i | ||||
\(400\) | −125139. | + | 99366.8i | −0.782120 | + | 0.621042i | ||||
\(401\) | 138235. | 0.859666 | 0.429833 | − | 0.902908i | \(-0.358572\pi\) | ||||
0.429833 | + | 0.902908i | \(0.358572\pi\) | |||||||
\(402\) | −113174. | + | 286648.i | −0.700318 | + | 1.77377i | ||||
\(403\) | −233487. | + | 96713.7i | −1.43765 | + | 0.595495i | ||||
\(404\) | 224952. | − | 78449.4i | 1.37824 | − | 0.480648i | ||||
\(405\) | −5777.88 | − | 1241.99i | −0.0352256 | − | 0.00757196i | ||||
\(406\) | 53853.3 | + | 57022.3i | 0.326708 | + | 0.345934i | ||||
\(407\) | 2182.22 | + | 2182.22i | 0.0131738 | + | 0.0131738i | ||||
\(408\) | −354.992 | + | 8764.61i | −0.00213254 | + | 0.0526517i | ||||
\(409\) | 228751. | + | 228751.i | 1.36747 | + | 1.36747i | 0.864037 | + | 0.503428i | \(0.167928\pi\) |
0.503428 | + | 0.864037i | \(0.332072\pi\) | |||||||
\(410\) | −4077.09 | − | 116.530i | −0.0242540 | − | 0.000693221i | ||||
\(411\) | 137741. | + | 294150.i | 0.815414 | + | 1.74135i | ||||
\(412\) | 13214.7 | − | 230986.i | 0.0778510 | − | 1.36079i | ||||
\(413\) | 151020. | − | 62554.7i | 0.885391 | − | 0.366741i | ||||
\(414\) | 62191.1 | − | 181099.i | 0.362850 | − | 1.05661i | ||||
\(415\) | −672.478 | −0.00390465 | ||||||||
\(416\) | −32674.4 | + | 227142.i | −0.188808 | + | 1.31254i | ||||
\(417\) | 54282.3 | − | 59430.3i | 0.312166 | − | 0.341771i | ||||
\(418\) | −780.365 | − | 349.682i | −0.00446627 | − | 0.00200134i | ||||
\(419\) | −216698. | + | 89759.3i | −1.23432 | + | 0.511271i | −0.901934 | − | 0.431873i | \(-0.857853\pi\) |
−0.332384 | + | 0.943144i | \(0.607853\pi\) | |||||||
\(420\) | −4876.48 | − | 4994.01i | −0.0276444 | − | 0.0283107i | ||||
\(421\) | 193189. | + | 80021.5i | 1.08998 | + | 0.451484i | 0.854000 | − | 0.520274i | \(-0.174170\pi\) |
0.235980 | + | 0.971758i | \(0.424170\pi\) | |||||||
\(422\) | 225528. | + | 6445.99i | 1.26641 | + | 0.0361963i | ||||
\(423\) | −245538. | − | 204689.i | −1.37227 | − | 1.14397i | ||||
\(424\) | 9509.53 | − | 110663.i | 0.0528965 | − | 0.615560i | ||||
\(425\) | −6721.51 | − | 6721.51i | −0.0372125 | − | 0.0372125i | ||||
\(426\) | 230746. | − | 3846.25i | 1.27150 | − | 0.0211942i | ||||
\(427\) | −30618.0 | + | 73918.5i | −0.167927 | + | 0.405413i | ||||
\(428\) | −91822.6 | − | 263299.i | −0.501259 | − | 1.43735i | ||||
\(429\) | −5202.37 | − | 1884.04i | −0.0282675 | − | 0.0102371i | ||||
\(430\) | 70.9503 | + | 186.163i | 0.000383723 | + | 0.00100683i | ||||
\(431\) | 181244. | 0.975685 | 0.487843 | − | 0.872932i | \(-0.337784\pi\) | ||||
0.487843 | + | 0.872932i | \(0.337784\pi\) | |||||||
\(432\) | −170848. | + | 75095.8i | −0.915468 | + | 0.402391i | ||||
\(433\) | 334575.i | 1.78450i | 0.451537 | + | 0.892252i | \(0.350876\pi\) | ||||
−0.451537 | + | 0.892252i | \(0.649124\pi\) | |||||||
\(434\) | −86448.7 | − | 226828.i | −0.458964 | − | 1.20425i | ||||
\(435\) | 1005.85 | − | 2777.43i | 0.00531561 | − | 0.0146779i | ||||
\(436\) | −236534. | − | 114214.i | −1.24429 | − | 0.600824i | ||||
\(437\) | 42549.3 | + | 17624.5i | 0.222807 | + | 0.0922898i | ||||
\(438\) | −290525. | + | 4842.70i | −1.51438 | + | 0.0252429i | ||||
\(439\) | −6158.33 | + | 6158.33i | −0.0319546 | + | 0.0319546i | −0.722904 | − | 0.690949i | \(-0.757193\pi\) |
0.690949 | + | 0.722904i | \(0.257193\pi\) | |||||||
\(440\) | 140.391 | + | 72.8075i | 0.000725159 | + | 0.000376072i | ||||
\(441\) | −25663.6 | + | 30785.2i | −0.131959 | + | 0.158294i | ||||
\(442\) | −13645.7 | − | 390.016i | −0.0698473 | − | 0.00199636i | ||||
\(443\) | −106184. | + | 256350.i | −0.541066 | + | 1.30625i | 0.382906 | + | 0.923787i | \(0.374923\pi\) |
−0.923972 | + | 0.382461i | \(0.875077\pi\) | |||||||
\(444\) | −1928.79 | + | 161984.i | −0.00978406 | + | 0.821685i | ||||
\(445\) | 3801.17 | + | 9176.84i | 0.0191954 | + | 0.0463418i | ||||
\(446\) | −222883. | − | 99873.8i | −1.12049 | − | 0.502090i | ||||
\(447\) | −160240. | − | 146359.i | −0.801964 | − | 0.732496i | ||||
\(448\) | −217185. | − | 37604.2i | −1.08212 | − | 0.187362i | ||||
\(449\) | 247647.i | 1.22840i | 0.789150 | + | 0.614201i | \(0.210522\pi\) | ||||
−0.789150 | + | 0.614201i | \(0.789478\pi\) | |||||||
\(450\) | 65684.8 | − | 191273.i | 0.324369 | − | 0.944558i | ||||
\(451\) | −1188.43 | − | 2869.13i | −0.00584281 | − | 0.0141058i | ||||
\(452\) | 110957. | + | 124423.i | 0.543098 | + | 0.609010i | ||||
\(453\) | 176486. | − | 82642.6i | 0.860031 | − | 0.402724i | ||||
\(454\) | −147707. | − | 4221.71i | −0.716619 | − | 0.0204822i | ||||
\(455\) | 7681.08 | − | 7681.08i | 0.0371022 | − | 0.0371022i | ||||
\(456\) | −15485.1 | − | 42131.3i | −0.0744707 | − | 0.202617i | ||||
\(457\) | −36608.6 | + | 36608.6i | −0.175287 | + | 0.175287i | −0.789298 | − | 0.614011i | \(-0.789555\pi\) |
0.614011 | + | 0.789298i | \(0.289555\pi\) | |||||||
\(458\) | 87559.8 | + | 92712.3i | 0.417420 | + | 0.441984i | ||||
\(459\) | −5597.22 | − | 9587.56i | −0.0265673 | − | 0.0455075i | ||||
\(460\) | −7670.02 | − | 3703.60i | −0.0362477 | − | 0.0175028i | ||||
\(461\) | −18682.6 | − | 45103.9i | −0.0879096 | − | 0.212232i | 0.873810 | − | 0.486267i | \(-0.161642\pi\) |
−0.961720 | + | 0.274034i | \(0.911642\pi\) | |||||||
\(462\) | 1951.65 | − | 4943.16i | 0.00914363 | − | 0.0231591i | ||||
\(463\) | − | 141674.i | − | 0.660888i | −0.943826 | − | 0.330444i | \(-0.892802\pi\) | ||
0.943826 | − | 0.330444i | \(-0.107198\pi\) | |||||||
\(464\) | −25635.6 | − | 89689.3i | −0.119071 | − | 0.416586i | ||||
\(465\) | −6165.56 | + | 6750.28i | −0.0285145 | + | 0.0312188i | ||||
\(466\) | −50261.2 | − | 131878.i | −0.231452 | − | 0.607295i | ||||
\(467\) | 125385. | + | 302706.i | 0.574925 | + | 1.38799i | 0.897318 | + | 0.441386i | \(0.145513\pi\) |
−0.322393 | + | 0.946606i | \(0.604487\pi\) | |||||||
\(468\) | −120026. | − | 264475.i | −0.548005 | − | 1.20751i | ||||
\(469\) | 176290. | − | 425602.i | 0.801461 | − | 1.93490i | ||||
\(470\) | −10337.7 | + | 9763.23i | −0.0467983 | + | 0.0441975i | ||||
\(471\) | 3095.04 | + | 68365.3i | 0.0139516 | + | 0.308172i | ||||
\(472\) | −193695. | − | 16644.7i | −0.869428 | − | 0.0747121i | ||||
\(473\) | −107.260 | + | 107.260i | −0.000479417 | + | 0.000479417i | ||||
\(474\) | 20220.5 | − | 20906.0i | 0.0899985 | − | 0.0930497i | ||||
\(475\) | 44939.6 | + | 18614.6i | 0.199178 | + | 0.0825023i | ||||
\(476\) | 748.919 | − | 13090.7i | 0.00330538 | − | 0.0577760i | ||||
\(477\) | 65310.4 | + | 124481.i | 0.287042 | + | 0.547100i | ||||
\(478\) | −51352.2 | − | 23010.9i | −0.224752 | − | 0.100711i | ||||
\(479\) | − | 134266.i | − | 0.585186i | −0.956237 | − | 0.292593i | \(-0.905482\pi\) | ||
0.956237 | − | 0.292593i | \(-0.0945181\pi\) | |||||||
\(480\) | 2414.10 | + | 7942.59i | 0.0104779 | + | 0.0344731i | ||||
\(481\) | −252107. | −1.08967 | ||||||||
\(482\) | −83684.2 | + | 186753.i | −0.360205 | + | 0.803849i | ||||
\(483\) | −97461.9 | + | 269120.i | −0.417773 | + | 1.15359i | ||||
\(484\) | 13373.1 | − | 233753.i | 0.0570875 | − | 0.997854i | ||||
\(485\) | −2786.52 | + | 6727.27i | −0.0118462 | + | 0.0285993i | ||||
\(486\) | 130972. | − | 196558.i | 0.554504 | − | 0.832181i | ||||
\(487\) | −243374. | − | 243374.i | −1.02616 | − | 1.02616i | −0.999648 | − | 0.0265124i | \(-0.991560\pi\) |
−0.0265124 | − | 0.999648i | \(-0.508440\pi\) | |||||||
\(488\) | 72798.6 | − | 61277.2i | 0.305692 | − | 0.257311i | ||||
\(489\) | −7739.21 | − | 170949.i | −0.0323653 | − | 0.714906i | ||||
\(490\) | 1224.10 | + | 1296.13i | 0.00509828 | + | 0.00539829i | ||||
\(491\) | −351142. | − | 145448.i | −1.45653 | − | 0.603316i | −0.492790 | − | 0.870148i | \(-0.664023\pi\) |
−0.963743 | + | 0.266833i | \(0.914023\pi\) | |||||||
\(492\) | 64171.3 | − | 149851.i | 0.265101 | − | 0.619057i | ||||
\(493\) | 5126.67 | − | 2123.53i | 0.0210931 | − | 0.00873706i | ||||
\(494\) | 65275.9 | − | 24877.9i | 0.267485 | − | 0.101944i | ||||
\(495\) | −199.336 | + | 18.0858i | −0.000813534 | + | 7.38120e-5i | ||||
\(496\) | −32925.1 | + | 286814.i | −0.133833 | + | 1.16583i | ||||
\(497\) | −344966. | −1.39657 | ||||||||
\(498\) | 9869.94 | − | 24998.7i | 0.0397975 | − | 0.100799i | ||||
\(499\) | 237867. | − | 98527.7i | 0.955285 | − | 0.395692i | 0.150070 | − | 0.988675i | \(-0.452050\pi\) |
0.805215 | + | 0.592984i | \(0.202050\pi\) | |||||||
\(500\) | −16212.3 | − | 7828.39i | −0.0648493 | − | 0.0313135i | ||||
\(501\) | −220148. | + | 103088.i | −0.877078 | + | 0.410707i | ||||
\(502\) | −233934. | + | 220933.i | −0.928294 | + | 0.876704i | ||||
\(503\) | −4739.31 | − | 4739.31i | −0.0187318 | − | 0.0187318i | 0.697679 | − | 0.716411i | \(-0.254216\pi\) |
−0.716411 | + | 0.697679i | \(0.754216\pi\) | |||||||
\(504\) | 257219. | − | 107981.i | 1.01261 | − | 0.425095i | ||||
\(505\) | 9483.83 | + | 9483.83i | 0.0371878 | + | 0.0371878i | ||||
\(506\) | 185.278 | − | 6482.41i | 0.000723642 | − | 0.0253183i | ||||
\(507\) | 176548. | − | 82671.6i | 0.686827 | − | 0.321618i | ||||
\(508\) | 225418. | + | 252776.i | 0.873497 | + | 0.979507i | ||||
\(509\) | −140016. | + | 57996.7i | −0.540435 | + | 0.223855i | −0.636167 | − | 0.771552i | \(-0.719481\pi\) |
0.0957317 | + | 0.995407i | \(0.469481\pi\) | |||||||
\(510\) | −453.025 | + | 196.557i | −0.00174173 | + | 0.000755699i | ||||
\(511\) | 434337. | 1.66335 | ||||||||
\(512\) | 208710. | + | 158618.i | 0.796166 | + | 0.605079i | ||||
\(513\) | 45236.8 | + | 34366.0i | 0.171892 | + | 0.130585i | ||||
\(514\) | 113993. | − | 254393.i | 0.431473 | − | 0.962894i | ||||
\(515\) | 12033.6 | − | 4984.50i | 0.0453714 | − | 0.0187935i | ||||
\(516\) | −7961.74 | − | 94.8029i | −0.0299026 | − | 0.000356059i | ||||
\(517\) | −10002.4 | − | 4143.11i | −0.0374215 | − | 0.0155005i | ||||
\(518\) | 6918.24 | − | 242051.i | 0.0257832 | − | 0.902086i | ||||
\(519\) | 1215.92 | + | 26858.0i | 0.00451408 | + | 0.0997101i | ||||
\(520\) | −12315.2 | + | 3903.88i | −0.0455442 | + | 0.0144374i | ||||
\(521\) | −66932.1 | − | 66932.1i | −0.246581 | − | 0.246581i | 0.572985 | − | 0.819566i | \(-0.305785\pi\) |
−0.819566 | + | 0.572985i | \(0.805785\pi\) | |||||||
\(522\) | 88485.1 | + | 78155.5i | 0.324735 | + | 0.286826i | ||||
\(523\) | −32373.5 | + | 78156.7i | −0.118355 | + | 0.285734i | −0.971944 | − | 0.235213i | \(-0.924421\pi\) |
0.853589 | + | 0.520947i | \(0.174421\pi\) | |||||||
\(524\) | 200635. | + | 96880.1i | 0.730710 | + | 0.352835i | ||||
\(525\) | −102937. | + | 284238.i | −0.373467 | + | 1.03125i | ||||
\(526\) | 399162. | − | 152129.i | 1.44271 | − | 0.549844i | ||||
\(527\) | −17173.9 | −0.0618369 | ||||||||
\(528\) | −4767.05 | + | 4150.29i | −0.0170995 | + | 0.0148871i | ||||
\(529\) | 69426.7i | 0.248094i | ||||||||
\(530\) | 5843.00 | − | 2226.88i | 0.0208010 | − | 0.00792767i | ||||
\(531\) | 217881. | − | 114314.i | 0.772734 | − | 0.405424i | ||||
\(532\) | 22094.3 | + | 63354.8i | 0.0780652 | + | 0.223850i | ||||
\(533\) | 234381. | + | 97083.7i | 0.825026 | + | 0.341737i | ||||
\(534\) | −396929. | + | 6616.32i | −1.39197 | + | 0.0232024i | ||||
\(535\) | 11100.5 | − | 11100.5i | 0.0387825 | − | 0.0387825i | ||||
\(536\) | −419154. | + | 352817.i | −1.45896 | + | 1.22806i | ||||
\(537\) | −3191.78 | − | 70502.1i | −0.0110684 | − | 0.244486i | ||||
\(538\) | 7255.91 | − | 253865.i | 0.0250684 | − | 0.877079i | ||||
\(539\) | −519.456 | + | 1254.08i | −0.00178802 | + | 0.00431665i | ||||
\(540\) | −7989.38 | − | 6823.08i | −0.0273984 | − | 0.0233988i | ||||
\(541\) | −193665. | − | 467549.i | −0.661693 | − | 1.59747i | −0.795149 | − | 0.606414i | \(-0.792607\pi\) |
0.133456 | − | 0.991055i | \(-0.457393\pi\) | |||||||
\(542\) | 12610.1 | − | 28141.3i | 0.0429261 | − | 0.0957956i | ||||
\(543\) | 293398. | − | 321224.i | 0.995080 | − | 1.08945i | ||||
\(544\) | −7958.25 | + | 13410.8i | −0.0268918 | + | 0.0453165i | ||||
\(545\) | − | 14787.3i | − | 0.0497848i | ||||||
\(546\) | 172801. | + | 398271.i | 0.579644 | + | 1.33596i | ||||
\(547\) | −77589.9 | − | 187319.i | −0.259317 | − | 0.626046i | 0.739577 | − | 0.673072i | \(-0.235026\pi\) |
−0.998894 | + | 0.0470261i | \(0.985026\pi\) | |||||||
\(548\) | −32980.8 | + | 576484.i | −0.109825 | + | 1.91967i | ||||
\(549\) | −35844.7 | + | 114973.i | −0.118927 | + | 0.381461i | ||||
\(550\) | 195.687 | − | 6846.57i | 0.000646898 | − | 0.0226333i | ||||
\(551\) | −20078.7 | + | 20078.7i | −0.0661353 | + | 0.0661353i | ||||
\(552\) | 250250. | − | 230767.i | 0.821289 | − | 0.757349i | ||||
\(553\) | −30742.2 | + | 30742.2i | −0.100527 | + | 0.100527i | ||||
\(554\) | 73371.4 | − | 69293.8i | 0.239060 | − | 0.225775i | ||||
\(555\) | −8259.21 | + | 3867.52i | −0.0268135 | + | 0.0125558i | ||||
\(556\) | 135112. | − | 47118.7i | 0.437062 | − | 0.152421i | ||||
\(557\) | 30362.4 | + | 73301.4i | 0.0978648 | + | 0.236266i | 0.965228 | − | 0.261409i | \(-0.0841871\pi\) |
−0.867363 | + | 0.497675i | \(0.834187\pi\) | |||||||
\(558\) | −160443. | − | 328272.i | −0.515291 | − | 1.05430i | ||||
\(559\) | − | 12391.4i | − | 0.0396550i | ||||||
\(560\) | −3410.21 | − | 11931.1i | −0.0108744 | − | 0.0380455i | ||||
\(561\) | −277.621 | − | 253.573i | −0.000882119 | − | 0.000805707i | ||||
\(562\) | −417592. | + | 159153.i | −1.32215 | + | 0.503897i | ||||
\(563\) | 41541.0 | + | 100289.i | 0.131057 | + | 0.316400i | 0.975763 | − | 0.218832i | \(-0.0702245\pi\) |
−0.844706 | + | 0.535231i | \(0.820225\pi\) | |||||||
\(564\) | −211211. | − | 527590.i | −0.663985 | − | 1.65859i | ||||
\(565\) | −3591.63 | + | 8670.96i | −0.0112511 | + | 0.0271625i | ||||
\(566\) | −110264. | − | 116752.i | −0.344192 | − | 0.364446i | ||||
\(567\) | −200645. | + | 290511.i | −0.624113 | + | 0.903641i | ||||
\(568\) | 364208. | + | 188880.i | 1.12889 | + | 0.585450i | ||||
\(569\) | 245063. | − | 245063.i | 0.756925 | − | 0.756925i | −0.218836 | − | 0.975762i | \(-0.570226\pi\) |
0.975762 | + | 0.218836i | \(0.0702261\pi\) | |||||||
\(570\) | 1756.84 | − | 1816.40i | 0.00540732 | − | 0.00559064i | ||||
\(571\) | 38329.0 | + | 15876.4i | 0.117559 | + | 0.0486945i | 0.440688 | − | 0.897661i | \(-0.354735\pi\) |
−0.323129 | + | 0.946355i | \(0.604735\pi\) | |||||||
\(572\) | −6546.81 | − | 7341.36i | −0.0200096 | − | 0.0224380i | ||||
\(573\) | 25637.5 | − | 70792.4i | 0.0780847 | − | 0.215614i | ||||
\(574\) | −99643.0 | + | 222368.i | −0.302429 | + | 0.674913i | ||||
\(575\) | 368888.i | 1.11573i | ||||||||
\(576\) | −330689. | − | 26831.7i | −0.996724 | − | 0.0808730i | ||||
\(577\) | −67149.7 | −0.201694 | −0.100847 | − | 0.994902i | \(-0.532155\pi\) | ||||
−0.100847 | + | 0.994902i | \(0.532155\pi\) | |||||||
\(578\) | 304028. | + | 136235.i | 0.910035 | + | 0.407787i | ||||
\(579\) | −345876. | − | 125259.i | −1.03172 | − | 0.373639i | ||||
\(580\) | 3919.38 | − | 3495.19i | 0.0116509 | − | 0.0103900i | ||||
\(581\) | −15374.3 | + | 37116.8i | −0.0455453 | + | 0.109956i | ||||
\(582\) | −209181. | − | 202322.i | −0.617557 | − | 0.597307i | ||||
\(583\) | 3366.50 | + | 3366.50i | 0.00990471 | + | 0.00990471i | ||||
\(584\) | −458563. | − | 237813.i | −1.34454 | − | 0.697286i | ||||
\(585\) | 10469.7 | − | 12559.1i | 0.0305931 | − | 0.0366985i | ||||
\(586\) | −115639. | + | 109212.i | −0.336750 | + | 0.318035i | ||||
\(587\) | 491542. | + | 203603.i | 1.42654 | + | 0.590893i | 0.956495 | − | 0.291749i | \(-0.0942373\pi\) |
0.470046 | + | 0.882642i | \(0.344237\pi\) | |||||||
\(588\) | −66148.3 | + | 26481.3i | −0.191322 | + | 0.0765922i | ||||
\(589\) | 81192.5 | − | 33631.0i | 0.234037 | − | 0.0969415i | ||||
\(590\) | −3897.74 | − | 10227.1i | −0.0111972 | − | 0.0293797i | ||||
\(591\) | −298577. | + | 326894.i | −0.854834 | + | 0.935905i | ||||
\(592\) | −139835. | + | 251764.i | −0.399000 | + | 0.718375i | ||||
\(593\) | −334852. | −0.952233 | −0.476117 | − | 0.879382i | \(-0.657956\pi\) | ||||
−0.476117 | + | 0.879382i | \(0.657956\pi\) | |||||||
\(594\) | 2253.33 | − | 7675.56i | 0.00638634 | − | 0.0217539i | ||||
\(595\) | 681.983 | − | 282.486i | 0.00192637 | − | 0.000797928i | ||||
\(596\) | −127044. | − | 364297.i | −0.357654 | − | 1.02556i | ||||
\(597\) | 110306. | + | 235562.i | 0.309493 | + | 0.660932i | ||||
\(598\) | 363746. | + | 385151.i | 1.01718 | + | 1.07703i | ||||
\(599\) | −158030. | − | 158030.i | −0.440438 | − | 0.440438i | 0.451721 | − | 0.892159i | \(-0.350810\pi\) |
−0.892159 | + | 0.451721i | \(0.850810\pi\) | |||||||
\(600\) | 264308. | − | 243731.i | 0.734190 | − | 0.677031i | ||||
\(601\) | −357067. | − | 357067.i | −0.988554 | − | 0.988554i | 0.0113809 | − | 0.999935i | \(-0.496377\pi\) |
−0.999935 | + | 0.0113809i | \(0.996377\pi\) | |||||||
\(602\) | 11897.2 | + | 340.042i | 0.0328285 | + | 0.000938295i | ||||
\(603\) | 206384. | − | 661982.i | 0.567599 | − | 1.82059i | ||||
\(604\) | 345883. | + | 19788.0i | 0.948102 | + | 0.0542411i | ||||
\(605\) | 12177.8 | − | 5044.22i | 0.0332705 | − | 0.0137811i | ||||
\(606\) | −491745. | + | 213357.i | −1.33904 | + | 0.580982i | ||||
\(607\) | −18833.6 | −0.0511159 | −0.0255579 | − | 0.999673i | \(-0.508136\pi\) | ||||
−0.0255579 | + | 0.999673i | \(0.508136\pi\) | |||||||
\(608\) | 11362.1 | − | 78986.0i | 0.0307364 | − | 0.213670i | ||||
\(609\) | −130302. | − | 119015.i | −0.351331 | − | 0.320897i | ||||
\(610\) | 4888.61 | + | 2190.59i | 0.0131379 | + | 0.00588710i | ||||
\(611\) | 817096. | − | 338452.i | 2.18872 | − | 0.906599i | ||||
\(612\) | −657.785 | − | 19725.6i | −0.00175623 | − | 0.0526656i | ||||
\(613\) | −79856.7 | − | 33077.7i | −0.212515 | − | 0.0880267i | 0.273886 | − | 0.961762i | \(-0.411691\pi\) |
−0.486402 | + | 0.873735i | \(0.661691\pi\) | |||||||
\(614\) | 577127. | + | 16495.3i | 1.53086 | + | 0.0437546i | ||||
\(615\) | 9167.82 | − | 415.046i | 0.0242391 | − | 0.00109735i | ||||
\(616\) | 7228.18 | − | 6084.22i | 0.0190488 | − | 0.0160341i | ||||
\(617\) | −344054. | − | 344054.i | −0.903767 | − | 0.903767i | 0.0919924 | − | 0.995760i | \(-0.470676\pi\) |
−0.995760 | + | 0.0919924i | \(0.970676\pi\) | |||||||
\(618\) | 8676.01 | + | 520495.i | 0.0227166 | + | 1.36282i | ||||
\(619\) | −103815. | + | 250631.i | −0.270943 | + | 0.654114i | −0.999524 | − | 0.0308456i | \(-0.990180\pi\) |
0.728581 | + | 0.684959i | \(0.240180\pi\) | |||||||
\(620\) | −15346.4 | + | 5351.90i | −0.0399231 | + | 0.0139227i | ||||
\(621\) | −109498. | + | 416684.i | −0.283939 | + | 1.08050i | ||||
\(622\) | 250074. | + | 656156.i | 0.646380 | + | 1.69600i | ||||
\(623\) | 593411. | 1.52890 | ||||||||
\(624\) | 35626.7 | − | 515100.i | 0.0914969 | − | 1.32289i | ||||
\(625\) | 389104.i | 0.996107i | ||||||||
\(626\) | −113666. | − | 298243.i | −0.290057 | − | 0.761064i | ||||
\(627\) | 1809.06 | + | 655.153i | 0.00460171 | + | 0.00166651i | ||||
\(628\) | −52902.3 | + | 109559.i | −0.134139 | + | 0.277798i | ||||
\(629\) | −15827.8 | − | 6556.10i | −0.0400055 | − | 0.0165708i | ||||
\(630\) | 11770.9 | + | 10396.7i | 0.0296570 | + | 0.0261949i | ||||
\(631\) | 84500.9 | − | 84500.9i | 0.212228 | − | 0.212228i | −0.592985 | − | 0.805213i | \(-0.702051\pi\) |
0.805213 | + | 0.592985i | \(0.202051\pi\) | |||||||
\(632\) | 49289.3 | − | 15624.6i | 0.123401 | − | 0.0391178i | ||||
\(633\) | −507126. | + | 22958.7i | −1.26564 | + | 0.0572979i | ||||
\(634\) | −500784. | − | 14313.3i | −1.24587 | − | 0.0356091i | ||||
\(635\) | −7296.68 | + | 17615.7i | −0.0180958 | + | 0.0436871i | ||||
\(636\) | −2975.53 | + | 249891.i | −0.00735615 | + | 0.617784i | ||||
\(637\) | −42434.6 | − | 102446.i | −0.104578 | − | 0.252474i | ||||
\(638\) | 3648.83 | + | 1635.04i | 0.00896421 | + | 0.00401687i | ||||
\(639\) | −517126. | + | 46918.9i | −1.26647 | + | 0.114907i | ||||
\(640\) | −2932.21 | + | 14463.8i | −0.00715873 | + | 0.0353119i | ||||
\(641\) | − | 238751.i | − | 0.581070i | −0.956864 | − | 0.290535i | \(-0.906167\pi\) | ||
0.956864 | − | 0.290535i | \(-0.0938333\pi\) | |||||||
\(642\) | 249728. | + | 575572.i | 0.605895 | + | 1.39646i | ||||
\(643\) | 67820.8 | + | 163734.i | 0.164037 | + | 0.396020i | 0.984429 | − | 0.175781i | \(-0.0562451\pi\) |
−0.820393 | + | 0.571801i | \(0.806245\pi\) | |||||||
\(644\) | −379770. | + | 338668.i | −0.915691 | + | 0.816587i | ||||
\(645\) | −190.094 | − | 405.953i | −0.000456930 | − | 0.000975789i | ||||
\(646\) | 4745.11 | + | 135.624i | 0.0113706 | + | 0.000324990i | ||||
\(647\) | 205742. | − | 205742.i | 0.491489 | − | 0.491489i | −0.417286 | − | 0.908775i | \(-0.637019\pi\) |
0.908775 | + | 0.417286i | \(0.137019\pi\) | |||||||
\(648\) | 370901. | − | 196855.i | 0.883300 | − | 0.468809i | ||||
\(649\) | 5892.43 | − | 5892.43i | 0.0139896 | − | 0.0139896i | ||||
\(650\) | 384180. | + | 406788.i | 0.909303 | + | 0.962811i | ||||
\(651\) | 231618. | + | 494629.i | 0.546526 | + | 1.16713i | ||||
\(652\) | 132284. | − | 273955.i | 0.311179 | − | 0.644442i | ||||
\(653\) | −156559. | − | 377968.i | −0.367158 | − | 0.886398i | −0.994213 | − | 0.107423i | \(-0.965740\pi\) |
0.627055 | − | 0.778975i | \(-0.284260\pi\) | |||||||
\(654\) | 549704. | + | 217033.i | 1.28521 | + | 0.507424i | ||||
\(655\) | 12543.1i | 0.0292363i | ||||||||
\(656\) | 226954. | − | 180213.i | 0.527389 | − | 0.418773i | ||||
\(657\) | 651098. | − | 59074.2i | 1.50840 | − | 0.136857i | ||||
\(658\) | 302530. | + | 793792.i | 0.698741 | + | 1.83339i | ||||
\(659\) | −238973. | − | 576931.i | −0.550272 | − | 1.32847i | −0.917275 | − | 0.398255i | \(-0.869616\pi\) |
0.367003 | − | 0.930220i | \(-0.380384\pi\) | |||||||
\(660\) | −327.100 | − | 140.075i | −0.000750919 | − | 0.000321568i | ||||
\(661\) | 208725. | − | 503906.i | 0.477717 | − | 1.15331i | −0.482960 | − | 0.875642i | \(-0.660438\pi\) |
0.960677 | − | 0.277669i | \(-0.0895617\pi\) | |||||||
\(662\) | −514784. | + | 486175.i | −1.17465 | + | 1.10937i | ||||
\(663\) | 30683.8 | − | 1389.12i | 0.0698044 | − | 0.00316019i | ||||
\(664\) | 36554.5 | − | 30769.2i | 0.0829096 | − | 0.0697880i | ||||
\(665\) | −2671.00 | + | 2671.00i | −0.00603992 | + | 0.00603992i | ||||
\(666\) | −22550.5 | − | 363791.i | −0.0508403 | − | 0.820169i | ||||
\(667\) | −198952. | − | 82408.6i | −0.447194 | − | 0.185234i | ||||
\(668\) | −431452. | − | 24683.5i | −0.966895 | − | 0.0553163i | ||||
\(669\) | 516693. | + | 187120.i | 1.15446 | + | 0.418089i | ||||
\(670\) | −28147.3 | − | 12612.8i | −0.0627028 | − | 0.0280971i | ||||
\(671\) | 4078.75i | 0.00905904i | ||||||||
\(672\) | 493576. | + | 48340.8i | 1.09299 | + | 0.107047i | ||||
\(673\) | 214907. | 0.474483 | 0.237242 | − | 0.971451i | \(-0.423757\pi\) | ||||
0.237242 | + | 0.971451i | \(0.423757\pi\) | |||||||
\(674\) | 110651. | − | 246933.i | 0.243576 | − | 0.543575i | ||||
\(675\) | −115650. | + | 440092.i | −0.253827 | + | 0.965908i | ||||
\(676\) | 346005. | + | 19795.0i | 0.757161 | + | 0.0433174i | ||||
\(677\) | −136864. | + | 330419.i | −0.298615 | + | 0.720920i | 0.701352 | + | 0.712815i | \(0.252580\pi\) |
−0.999967 | + | 0.00810532i | \(0.997420\pi\) | |||||||
\(678\) | −269619. | − | 260778.i | −0.586532 | − | 0.567299i | ||||
\(679\) | 307600. | + | 307600.i | 0.667185 | + | 0.667185i | ||||
\(680\) | −874.693 | − | 75.1645i | −0.00189164 | − | 0.000162553i | ||||
\(681\) | 332135. | − | 15036.5i | 0.716178 | − | 0.0324229i | ||||
\(682\) | −8496.71 | − | 8996.71i | −0.0182676 | − | 0.0193426i | ||||
\(683\) | −310396. | − | 128570.i | −0.665387 | − | 0.275612i | 0.0243162 | − | 0.999704i | \(-0.492259\pi\) |
−0.689704 | + | 0.724092i | \(0.742259\pi\) | |||||||
\(684\) | 41737.7 | + | 91967.9i | 0.0892105 | + | 0.196573i | ||||
\(685\) | −30033.0 | + | 12440.1i | −0.0640056 | + | 0.0265120i | ||||
\(686\) | −383408. | + | 146124.i | −0.814729 | + | 0.310509i | ||||
\(687\) | −211857. | − | 193505.i | −0.448879 | − | 0.409996i | ||||
\(688\) | −12374.6 | − | 6873.10i | −0.0261429 | − | 0.0145203i | ||||
\(689\) | −388924. | −0.819269 | ||||||||
\(690\) | 17825.1 | + | 7037.69i | 0.0374398 | + | 0.0147819i | ||||
\(691\) | −127571. | + | 52841.6i | −0.267175 | + | 0.110668i | −0.512249 | − | 0.858837i | \(-0.671188\pi\) |
0.245074 | + | 0.969504i | \(0.421188\pi\) | |||||||
\(692\) | −20783.2 | + | 43041.4i | −0.0434011 | + | 0.0898823i | ||||
\(693\) | −3559.03 | + | 11415.7i | −0.00741080 | + | 0.0237703i | ||||
\(694\) | −78246.9 | + | 73898.4i | −0.162461 | + | 0.153432i | ||||
\(695\) | 5696.23 | + | 5696.23i | 0.0117928 | + | 0.0117928i | ||||
\(696\) | 72405.4 | + | 196998.i | 0.149469 | + | 0.406670i | ||||
\(697\) | 12190.2 | + | 12190.2i | 0.0250927 | + | 0.0250927i | ||||
\(698\) | 12907.4 | − | 451595.i | 0.0264927 | − | 0.926911i | ||||
\(699\) | 134663. | + | 287577.i | 0.275609 | + | 0.588572i | ||||
\(700\) | −401104. | + | 357693.i | −0.818580 | + | 0.729986i | ||||
\(701\) | −691397. | + | 286386.i | −1.40699 | + | 0.582795i | −0.951556 | − | 0.307475i | \(-0.900516\pi\) |
−0.455435 | + | 0.890269i | \(0.650516\pi\) | |||||||
\(702\) | 313209. | + | 573531.i | 0.635564 | + | 1.16381i | ||||
\(703\) | 87667.3 | 0.177389 | ||||||||
\(704\) | −10962.7 | + | 2465.92i | −0.0221193 | + | 0.00497546i | ||||
\(705\) | 21576.6 | − | 23622.8i | 0.0434114 | − | 0.0475284i | ||||
\(706\) | 100718. | − | 224766.i | 0.202067 | − | 0.450943i | ||||
\(707\) | 740273. | − | 306631.i | 1.48099 | − | 0.613447i | ||||
\(708\) | 437388. | + | 5208.11i | 0.872570 | + | 0.0103900i | ||||
\(709\) | −199725. | − | 82728.8i | −0.397320 | − | 0.164575i | 0.175072 | − | 0.984556i | \(-0.443984\pi\) |
−0.572392 | + | 0.819980i | \(0.693984\pi\) | |||||||
\(710\) | −659.888 | + | 23087.7i | −0.00130904 | + | 0.0457999i | ||||
\(711\) | −41903.2 | + | 50265.7i | −0.0828912 | + | 0.0994335i | ||||
\(712\) | −626510. | − | 324912.i | −1.23586 | − | 0.640922i | ||||
\(713\) | 471267. | + | 471267.i | 0.927018 | + | 0.927018i | ||||
\(714\) | 491.696 | + | 29498.0i | 0.000964495 | + | 0.0578624i | ||||
\(715\) | 211.917 | − | 511.614i | 0.000414528 | − | 0.00100076i | ||||
\(716\) | 54555.9 | − | 112983.i | 0.106418 | − | 0.220388i | ||||
\(717\) | 119046. | + | 43112.6i | 0.231567 | + | 0.0838621i | ||||
\(718\) | −453185. | + | 172718.i | −0.879076 | + | 0.335033i | ||||
\(719\) | −572957. | −1.10832 | −0.554158 | − | 0.832411i | \(-0.686960\pi\) | ||||
−0.554158 | + | 0.832411i | \(0.686960\pi\) | |||||||
\(720\) | −6734.87 | − | 17421.6i | −0.0129916 | − | 0.0336065i | ||||
\(721\) | − | 778143.i | − | 1.49689i | ||||||
\(722\) | 464407. | − | 176995.i | 0.890891 | − | 0.339536i | ||||
\(723\) | 156788. | − | 432937.i | 0.299942 | − | 0.828224i | ||||
\(724\) | 730285. | − | 254679.i | 1.39321 | − | 0.485865i | ||||
\(725\) | −210128. | − | 87038.0i | −0.399769 | − | 0.165590i | ||||
\(726\) | 8779.97 | + | 526732.i | 0.0166579 | + | 0.999347i | ||||
\(727\) | 241883. | − | 241883.i | 0.457653 | − | 0.457653i | −0.440232 | − | 0.897884i | \(-0.645104\pi\) |
0.897884 | + | 0.440232i | \(0.145104\pi\) | |||||||
\(728\) | −66080.0 | + | 768976.i | −0.124683 | + | 1.45094i | ||||
\(729\) | −261268. | + | 462784.i | −0.491622 | + | 0.870809i | ||||
\(730\) | 830.845 | − | 29069.1i | 0.00155910 | − | 0.0545489i | ||||
\(731\) | 322.242 | − | 777.961i | 0.000603042 | − | 0.00145587i | ||||
\(732\) | −153183. | + | 149578.i | −0.285883 | + | 0.279155i | ||||
\(733\) | −162695. | − | 392781.i | −0.302807 | − | 0.731041i | −0.999901 | − | 0.0140616i | \(-0.995524\pi\) |
0.697094 | − | 0.716980i | \(-0.254476\pi\) | |||||||
\(734\) | 322904. | − | 720607.i | 0.599352 | − | 1.33754i | ||||
\(735\) | −2961.79 | − | 2705.23i | −0.00548251 | − | 0.00500760i | ||||
\(736\) | 586385. | − | 149622.i | 1.08250 | − | 0.276210i | ||||
\(737\) | − | 23484.3i | − | 0.0432358i | ||||||
\(738\) | −119127. | + | 346896.i | −0.218724 | + | 0.636922i | ||||
\(739\) | −229102. | − | 553101.i | −0.419508 | − | 1.01278i | −0.982490 | − | 0.186313i | \(-0.940346\pi\) |
0.562983 | − | 0.826469i | \(-0.309654\pi\) | |||||||
\(740\) | −16186.7 | − | 926.042i | −0.0295593 | − | 0.00169109i | ||||
\(741\) | −142343. | + | 66654.3i | −0.259238 | + | 0.121393i | ||||
\(742\) | 10672.7 | − | 373411.i | 0.0193851 | − | 0.678233i | ||||
\(743\) | 334870. | − | 334870.i | 0.606595 | − | 0.606595i | −0.335460 | − | 0.942054i | \(-0.608892\pi\) |
0.942054 | + | 0.335460i | \(0.108892\pi\) | |||||||
\(744\) | 26287.8 | − | 649037.i | 0.0474907 | − | 1.17253i | ||||
\(745\) | 15358.5 | − | 15358.5i | 0.0276718 | − | 0.0276718i | ||||
\(746\) | −508792. | + | 480515.i | −0.914244 | + | 0.863435i | ||||
\(747\) | −17998.8 | + | 57731.6i | −0.0322554 | + | 0.103460i | ||||
\(748\) | −220.109 | − | 631.158i | −0.000393401 | − | 0.00112807i | ||||
\(749\) | −358902. | − | 866466.i | −0.639753 | − | 1.54450i | ||||
\(750\) | 37677.4 | + | 14875.7i | 0.0669820 | + | 0.0264458i | ||||
\(751\) | 319704.i | 0.566850i | 0.958994 | + | 0.283425i | \(0.0914708\pi\) | ||||
−0.958994 | + | 0.283425i | \(0.908529\pi\) | |||||||
\(752\) | 115222. | − | 1.00371e6i | 0.203752 | − | 1.77490i | ||||
\(753\) | 488257. | − | 534563.i | 0.861111 | − | 0.942776i | ||||
\(754\) | −305217. | + | 116324.i | −0.536866 | + | 0.204610i | ||||
\(755\) | 7463.89 | + | 18019.4i | 0.0130940 | + | 0.0316116i | ||||
\(756\) | −559249. | + | 284977.i | −0.978502 | + | 0.498616i | ||||
\(757\) | −258796. | + | 624788.i | −0.451612 | + | 1.09029i | 0.520098 | + | 0.854107i | \(0.325896\pi\) |
−0.971709 | + | 0.236180i | \(0.924104\pi\) | |||||||
\(758\) | 255169. | + | 270185.i | 0.444110 | + | 0.470244i | ||||
\(759\) | 659.906 | + | 14576.4i | 0.00114551 | + | 0.0253028i | ||||
\(760\) | 4282.45 | − | 1357.53i | 0.00741421 | − | 0.00235029i | ||||
\(761\) | −406297. | + | 406297.i | −0.701576 | + | 0.701576i | −0.964749 | − | 0.263173i | \(-0.915231\pi\) |
0.263173 | + | 0.964749i | \(0.415231\pi\) | |||||||
\(762\) | −547753. | − | 529792.i | −0.943355 | − | 0.912421i | ||||
\(763\) | −816175. | − | 338071.i | −1.40195 | − | 0.580709i | ||||
\(764\) | 99899.1 | − | 89087.1i | 0.171149 | − | 0.152626i | ||||
\(765\) | 983.914 | − | 516.222i | 0.00168126 | − | 0.000882091i | ||||
\(766\) | 138010. | − | 307989.i | 0.235208 | − | 0.524901i | ||||
\(767\) | 680739.i | 1.15715i | ||||||||
\(768\) | −494639. | − | 321286.i | −0.838621 | − | 0.544715i | ||||
\(769\) | 768672. | 1.29984 | 0.649918 | − | 0.760005i | \(-0.274803\pi\) | ||||
0.649918 | + | 0.760005i | \(0.274803\pi\) | |||||||
\(770\) | 485.391 | + | 217.504i | 0.000818673 | + | 0.000366848i | ||||
\(771\) | −213575. | + | 589740.i | −0.359286 | + | 0.992092i | ||||
\(772\) | −435260. | − | 488085.i | −0.730321 | − | 0.818956i | ||||
\(773\) | 382964. | − | 924556.i | 0.640912 | − | 1.54730i | −0.184539 | − | 0.982825i | \(-0.559079\pi\) |
0.825451 | − | 0.564474i | \(-0.190921\pi\) | |||||||
\(774\) | 17880.9 | − | 1108.39i | 0.0298474 | − | 0.00185017i | ||||
\(775\) | 497741. | + | 497741.i | 0.828706 | + | 0.828706i | ||||
\(776\) | −156336. | − | 493178.i | −0.259619 | − | 0.818993i | ||||
\(777\) | 24640.7 | + | 544280.i | 0.0408142 | + | 0.901531i | ||||
\(778\) | 291562. | − | 275358.i | 0.481694 | − | 0.454924i | ||||
\(779\) | −81503.1 | − | 33759.7i | −0.134307 | − | 0.0556319i | ||||
\(780\) | 26985.9 | − | 10803.3i | 0.0443555 | − | 0.0177569i | ||||
\(781\) | −16247.3 | + | 6729.85i | −0.0266366 | + | 0.0110333i | ||||
\(782\) | 12820.8 | + | 33639.9i | 0.0209654 | + | 0.0550100i | ||||
\(783\) | −211518. | − | 160688.i | −0.345004 | − | 0.262096i | ||||
\(784\) | −125844. | − | 14446.4i | −0.204739 | − | 0.0235032i | ||||
\(785\) | −6849.28 | −0.0111149 | ||||||||
\(786\) | −466276. | − | 184095.i | −0.754741 | − | 0.297986i | ||||
\(787\) | −239789. | + | 99323.8i | −0.387150 | + | 0.160363i | −0.567764 | − | 0.823191i | \(-0.692191\pi\) |
0.180614 | + | 0.983554i | \(0.442191\pi\) | |||||||
\(788\) | −743176. | + | 259175.i | −1.19685 | + | 0.417388i | ||||
\(789\) | −870426. | + | 407591.i | −1.39823 | + | 0.654743i | ||||
\(790\) | 1998.69 | + | 2116.31i | 0.00320252 | + | 0.00339097i | ||||
\(791\) | 396474. | + | 396474.i | 0.633667 | + | 0.633667i | ||||
\(792\) | 10008.0 | − | 10103.7i | 0.0159550 | − | 0.0161076i | ||||
\(793\) | −235604. | − | 235604.i | −0.374660 | − | 0.374660i | ||||
\(794\) | −246585. | − | 7047.82i | −0.391134 | − | 0.0111793i | ||||
\(795\) | −12741.4 | + | 5966.39i | −0.0201597 | + | 0.00944012i | ||||
\(796\) | −26411.8 | + | 461662.i | −0.0416842 | + | 0.728615i | ||||
\(797\) | −1.13935e6 | + | 471933.i | −1.79366 | + | 0.742957i | −0.804902 | + | 0.593408i | \(0.797782\pi\) |
−0.988754 | + | 0.149549i | \(0.952218\pi\) | |||||||
\(798\) | −60089.5 | − | 138494.i | −0.0943611 | − | 0.217483i | ||||
\(799\) | 60100.6 | 0.0941424 | ||||||||
\(800\) | 619326. | − | 158027.i | 0.967697 | − | 0.246918i | ||||
\(801\) | 889561. | − | 80709.9i | 1.38647 | − | 0.125795i | ||||
\(802\) | −504596. | − | 226110.i | −0.784504 | − | 0.351537i | ||||
\(803\) | 20456.5 | − | 8473.36i | 0.0317249 | − | 0.0131409i | ||||
\(804\) | 881985. | − | 861228.i | 1.36442 | − | 1.33231i | ||||
\(805\) | −26465.9 | − | 10962.5i | −0.0408408 | − | 0.0169168i | ||||
\(806\) | 1.01049e6 | + | 28881.5i | 1.55547 | + | 0.0444580i | ||||
\(807\) | 25843.4 | + | 570845.i | 0.0396828 | + | 0.876539i | ||||
\(808\) | −949454. | − | 81588.9i | −1.45429 | − | 0.124971i | ||||
\(809\) | 305228. | + | 305228.i | 0.466367 | + | 0.466367i | 0.900735 | − | 0.434369i | \(-0.143028\pi\) |
−0.434369 | + | 0.900735i | \(0.643028\pi\) | |||||||
\(810\) | 19059.3 | + | 13984.4i | 0.0290494 | + | 0.0213145i | ||||
\(811\) | 272148. | − | 657024.i | 0.413774 | − | 0.998940i | −0.570341 | − | 0.821408i | \(-0.693189\pi\) |
0.984115 | − | 0.177531i | \(-0.0568111\pi\) | |||||||
\(812\) | −103309. | − | 296234.i | −0.156684 | − | 0.449287i | ||||
\(813\) | −23626.0 | + | 65238.0i | −0.0357444 | + | 0.0987005i | ||||
\(814\) | −4396.28 | − | 11535.2i | −0.00663493 | − | 0.0174090i | ||||
\(815\) | 17126.8 | 0.0257846 | ||||||||
\(816\) | 15632.0 | − | 31412.6i | 0.0234766 | − | 0.0471763i | ||||
\(817\) | 4308.98i | 0.00645550i | ||||||||
\(818\) | −460839. | − | 1.20917e6i | −0.688719 | − | 1.80709i | ||||
\(819\) | −453830. | − | 864996.i | −0.676590 | − | 1.28957i | ||||
\(820\) | 14691.9 | + | 7094.23i | 0.0218500 | + | 0.0105506i | ||||
\(821\) | 499207. | + | 206778.i | 0.740618 | + | 0.306774i | 0.720907 | − | 0.693032i | \(-0.243725\pi\) |
0.0197108 | + | 0.999806i | \(0.493725\pi\) | |||||||
\(822\) | −21653.2 | − | 1.29903e6i | −0.0320464 | − | 1.92254i | ||||
\(823\) | 171080. | − | 171080.i | 0.252580 | − | 0.252580i | −0.569448 | − | 0.822028i | \(-0.692843\pi\) |
0.822028 | + | 0.569448i | \(0.192843\pi\) | |||||||
\(824\) | −426058. | + | 821546.i | −0.627501 | + | 1.20998i | ||||
\(825\) | 696.977 | + | 15395.3i | 0.00102402 | + | 0.0226194i | ||||
\(826\) | −653586. | − | 18680.6i | −0.957949 | − | 0.0273799i | ||||
\(827\) | −476225. | + | 1.14971e6i | −0.696308 | + | 1.68104i | 0.0353600 | + | 0.999375i | \(0.488742\pi\) |
−0.731668 | + | 0.681661i | \(0.761258\pi\) | |||||||
\(828\) | −523237. | + | 559338.i | −0.763199 | + | 0.815856i | ||||
\(829\) | 107350. | + | 259166.i | 0.156204 | + | 0.377111i | 0.982536 | − | 0.186073i | \(-0.0595762\pi\) |
−0.826331 | + | 0.563184i | \(0.809576\pi\) | |||||||
\(830\) | 2454.73 | + | 1099.97i | 0.00356326 | + | 0.00159670i | ||||
\(831\) | −153138. | + | 167661.i | −0.221759 | + | 0.242790i | ||||
\(832\) | 490805. | − | 775687.i | 0.709026 | − | 1.12057i | ||||
\(833\) | − | 7535.31i | − | 0.0108595i | ||||||
\(834\) | −295355. | + | 128148.i | −0.424631 | + | 0.184238i | ||||
\(835\) | −9310.41 | − | 22477.3i | −0.0133535 | − | 0.0322382i | ||||
\(836\) | 2276.58 | + | 2552.87i | 0.00325739 | + | 0.00365272i | ||||
\(837\) | 414485. | + | 709978.i | 0.591640 | + | 1.01343i | ||||
\(838\) | 937826. | + | 26804.7i | 1.33547 | + | 0.0381701i | ||||
\(839\) | −73392.6 | + | 73392.6i | −0.104263 | + | 0.104263i | −0.757314 | − | 0.653051i | \(-0.773489\pi\) |
0.653051 | + | 0.757314i | \(0.273489\pi\) | |||||||
\(840\) | 9631.84 | + | 26205.9i | 0.0136506 | + | 0.0371399i | ||||
\(841\) | −406239. | + | 406239.i | −0.574367 | + | 0.574367i | ||||
\(842\) | −574303. | − | 608098.i | −0.810060 | − | 0.857728i | ||||
\(843\) | 910615. | − | 426411.i | 1.28139 | − | 0.600030i | ||||
\(844\) | −812697. | − | 392424.i | −1.14089 | − | 0.550897i | ||||
\(845\) | 7466.52 | + | 18025.8i | 0.0104569 | + | 0.0252453i | ||||
\(846\) | 561475. | + | 1.14880e6i | 0.784494 | + | 1.60510i | ||||
\(847\) | − | 787467.i | − | 1.09765i | ||||||
\(848\) | −215723. | + | 388395.i | −0.299988 | + | 0.540110i | ||||
\(849\) | 266791. | + | 243681.i | 0.370132 | + | 0.338070i | ||||
\(850\) | 13541.1 | + | 35529.7i | 0.0187420 | + | 0.0491760i | ||||
\(851\) | 254424. | + | 614235.i | 0.351317 | + | 0.848155i | ||||
\(852\) | −848577. | − | 363389.i | −1.16899 | − | 0.500602i | ||||
\(853\) | −436513. | + | 1.05384e6i | −0.599928 | + | 1.44835i | 0.273726 | + | 0.961808i | \(0.411744\pi\) |
−0.873654 | + | 0.486547i | \(0.838256\pi\) | |||||||
\(854\) | 232672. | − | 219741.i | 0.319028 | − | 0.301298i | ||||
\(855\) | −3640.72 | + | 4367.29i | −0.00498030 | + | 0.00597420i | ||||
\(856\) | −95497.3 | + | 1.11131e6i | −0.130330 | + | 1.51665i | ||||
\(857\) | 552914. | − | 552914.i | 0.752829 | − | 0.752829i | −0.222178 | − | 0.975006i | \(-0.571316\pi\) |
0.975006 | + | 0.222178i | \(0.0713165\pi\) | |||||||
\(858\) | 15908.4 | + | 15386.7i | 0.0216099 | + | 0.0209012i | ||||
\(859\) | −247069. | − | 102339.i | −0.334836 | − | 0.138693i | 0.208930 | − | 0.977931i | \(-0.433002\pi\) |
−0.543766 | + | 0.839237i | \(0.683002\pi\) | |||||||
\(860\) | 45.5164 | − | 795.598i | 6.15419e−5 | − | 0.00107571i | ||||
\(861\) | 186688. | − | 515499.i | 0.251832 | − | 0.695379i | ||||
\(862\) | −661592. | − | 296459.i | −0.890380 | − | 0.398980i | ||||
\(863\) | 508215.i | 0.682380i | 0.939994 | + | 0.341190i | \(0.110830\pi\) | ||||
−0.939994 | + | 0.341190i | \(0.889170\pi\) | |||||||
\(864\) | 746477. | + | 5334.62i | 0.999974 | + | 0.00714621i | ||||
\(865\) | −2690.81 | −0.00359626 | ||||||||
\(866\) | 547261. | − | 1.22129e6i | 0.729724 | − | 1.62848i | ||||
\(867\) | −704807. | − | 255246.i | −0.937631 | − | 0.339563i | ||||
\(868\) | −55458.9 | + | 969389.i | −0.0736092 | + | 1.28664i | ||||
\(869\) | −848.162 | + | 2047.65i | −0.00112315 | + | 0.00271153i | ||||
\(870\) | −8214.62 | + | 8493.12i | −0.0108530 | + | 0.0112209i | ||||
\(871\) | 1.35654e6 | + | 1.35654e6i | 1.78813 | + | 1.78813i | ||||
\(872\) | 676595. | + | 803810.i | 0.889807 | + | 1.05711i | ||||
\(873\) | 502948. | + | 419275.i | 0.659925 | + | 0.550136i | ||||
\(874\) | −126488. | − | 133932.i | −0.165588 | − | 0.175332i | ||||
\(875\) | −55941.6 | − | 23171.8i | −0.0730666 | − | 0.0302652i | ||||
\(876\) | 1.06842e6 | + | 457532.i | 1.39230 | + | 0.596230i | ||||
\(877\) | 526513. | − | 218089.i | 0.684558 | − | 0.283553i | −0.0131728 | − | 0.999913i | \(-0.504193\pi\) |
0.697731 | + | 0.716360i | \(0.254193\pi\) | |||||||
\(878\) | 32552.7 | − | 12406.5i | 0.0422278 | − | 0.0160938i | ||||
\(879\) | 241357. | − | 264246.i | 0.312379 | − | 0.342004i | ||||
\(880\) | −393.375 | − | 495.403i | −0.000507974 | − | 0.000639725i | ||||
\(881\) | 690825. | 0.890053 | 0.445027 | − | 0.895517i | \(-0.353194\pi\) | ||||
0.445027 | + | 0.895517i | \(0.353194\pi\) | |||||||
\(882\) | 144034. | − | 70396.8i | 0.185152 | − | 0.0904932i | ||||
\(883\) | 489074. | − | 202581.i | 0.627268 | − | 0.259823i | −0.0463240 | − | 0.998926i | \(-0.514751\pi\) |
0.673592 | + | 0.739104i | \(0.264751\pi\) | |||||||
\(884\) | 49172.5 | + | 23743.7i | 0.0629242 | + | 0.0303840i | ||||
\(885\) | 10443.1 | + | 22301.5i | 0.0133334 | + | 0.0284739i | ||||
\(886\) | 806908. | − | 762064.i | 1.02791 | − | 0.970787i | ||||
\(887\) | −62243.6 | − | 62243.6i | −0.0791129 | − | 0.0791129i | 0.666443 | − | 0.745556i | \(-0.267816\pi\) |
−0.745556 | + | 0.666443i | \(0.767816\pi\) | |||||||
\(888\) | 271996. | − | 588131.i | 0.344934 | − | 0.745844i | ||||
\(889\) | 805468. | + | 805468.i | 1.01917 | + | 1.01917i | ||||
\(890\) | 1135.14 | − | 39715.5i | 0.00143308 | − | 0.0501395i | ||||
\(891\) | −3782.56 | + | 17596.9i | −0.00476464 | + | 0.0221656i | ||||
\(892\) | 650221. | + | 729134.i | 0.817205 | + | 0.916384i | ||||
\(893\) | −284136. | + | 117693.i | −0.356306 | + | 0.147587i | ||||
\(894\) | 345521. | + | 796354.i | 0.432314 | + | 0.996395i | ||||
\(895\) | 7063.36 | 0.00881790 | ||||||||
\(896\) | 731278. | + | 492514.i | 0.910891 | + | 0.613483i | ||||
\(897\) | −880110. | − | 803873.i | −1.09384 | − | 0.999085i | ||||
\(898\) | 405074. | − | 903980.i | 0.502321 | − | 1.12100i | ||||
\(899\) | −379640. | + | 157252.i | −0.469734 | + | 0.194570i | ||||
\(900\) | −552631. | + | 590759.i | −0.682260 | + | 0.729333i | ||||
\(901\) | −24417.5 | − | 10114.1i | −0.0300782 | − | 0.0124588i | ||||
\(902\) | −354.901 | + | 12417.0i | −0.000436208 | + | 0.0152618i | ||||
\(903\) | −26752.2 | + | 1211.13i | −0.0328083 | + | 0.00148530i | ||||
\(904\) | −201506. | − | 635670.i | −0.246576 | − | 0.777849i | ||||
\(905\) | 30788.4 | + | 30788.4i | 0.0375915 | + | 0.0375915i | ||||
\(906\) | −779401. | + | 12991.6i | −0.949521 | + | 0.0158273i | ||||
\(907\) | −462106. | + | 1.11562e6i | −0.561730 | + | 1.35614i | 0.346652 | + | 0.937994i | \(0.387318\pi\) |
−0.908382 | + | 0.418142i | \(0.862682\pi\) | |||||||
\(908\) | 532265. | + | 257013.i | 0.645589 | + | 0.311733i | ||||
\(909\) | 1.06801e6 | − | 560344.i | 1.29255 | − | 0.678152i | ||||
\(910\) | −40601.9 | + | 15474.2i | −0.0490302 | + | 0.0186864i | ||||
\(911\) | −1.00789e6 | −1.21444 | −0.607220 | − | 0.794534i | \(-0.707715\pi\) | ||||
−0.607220 | + | 0.794534i | \(0.707715\pi\) | |||||||
\(912\) | −12388.8 | + | 179120.i | −0.0148949 | + | 0.215355i | ||||
\(913\) | 2048.07i | 0.00245699i | ||||||||
\(914\) | 193512. | − | 73751.2i | 0.231641 | − | 0.0882829i | ||||
\(915\) | −11332.9 | − | 4104.22i | −0.0135363 | − | 0.00490217i | ||||
\(916\) | −167969. | − | 481646.i | −0.200188 | − | 0.574033i | ||||
\(917\) | 692305. | + | 286762.i | 0.823301 | + | 0.341023i | ||||
\(918\) | 4749.12 | + | 44152.6i | 0.00563543 | + | 0.0523927i | ||||
\(919\) | −821103. | + | 821103.i | −0.972224 | + | 0.972224i | −0.999625 | − | 0.0274002i | \(-0.991277\pi\) |
0.0274002 | + | 0.999625i | \(0.491277\pi\) | |||||||
\(920\) | 21939.8 | + | 26064.9i | 0.0259213 | + | 0.0307950i | ||||
\(921\) | −1.29774e6 | + | 58751.3i | −1.52992 | + | 0.0692625i | ||||
\(922\) | −5579.17 | + | 195201.i | −0.00656308 | + | 0.229625i | ||||
\(923\) | 549765. | − | 1.32725e6i | 0.645317 | − | 1.55793i | ||||
\(924\) | −15209.6 | + | 14851.6i | −0.0178145 | + | 0.0173952i | ||||
\(925\) | 268717. | + | 648741.i | 0.314059 | + | 0.758207i | ||||
\(926\) | −231735. | + | 517149.i | −0.270252 | + | 0.603106i | ||||
\(927\) | −105835. | − | 1.16649e6i | −0.123160 | − | 1.35744i | ||||
\(928\) | −53127.0 | + | 369323.i | −0.0616907 | + | 0.428855i | ||||
\(929\) | 1.56841e6i | 1.81731i | 0.417549 | + | 0.908655i | \(0.362889\pi\) | ||||
−0.417549 | + | 0.908655i | \(0.637111\pi\) | |||||||
\(930\) | 33547.4 | − | 14555.5i | 0.0387876 | − | 0.0168291i | ||||
\(931\) | 14756.1 | + | 35624.5i | 0.0170245 | + | 0.0411007i | ||||
\(932\) | −32243.8 | + | 563602.i | −0.0371205 | + | 0.648844i | ||||
\(933\) | −670013. | − | 1.43084e6i | −0.769697 | − | 1.64371i | ||||
\(934\) | 37443.5 | − | 1.31005e6i | 0.0429223 | − | 1.50174i | ||||
\(935\) | 26.6092 | − | 26.6092i | 3.04375e−5 | − | 3.04375e-5i | ||||
\(936\) | 5530.43 | + | 1.16173e6i | 0.00631258 | + | 1.32603i | ||||
\(937\) | 195260. | − | 195260.i | 0.222399 | − | 0.222399i | −0.587109 | − | 0.809508i | \(-0.699734\pi\) |
0.809508 | + | 0.587109i | \(0.199734\pi\) | |||||||
\(938\) | −1.33966e6 | + | 1.26521e6i | −1.52261 | + | 1.43799i | ||||
\(939\) | 304541. | + | 650358.i | 0.345394 | + | 0.737601i | ||||
\(940\) | 53705.3 | − | 18729.1i | 0.0607801 | − | 0.0211964i | ||||
\(941\) | −569092. | − | 1.37391e6i | −0.642692 | − | 1.55160i | −0.823034 | − | 0.567992i | \(-0.807720\pi\) |
0.180342 | − | 0.983604i | \(-0.442280\pi\) | |||||||
\(942\) | 100527. | − | 254615.i | 0.113287 | − | 0.286934i | ||||
\(943\) | − | 669022.i | − | 0.752345i | ||||||
\(944\) | 679813. | + | 377582.i | 0.762862 | + | 0.423709i | ||||
\(945\) | −28137.5 | − | 21375.8i | −0.0315081 | − | 0.0239364i | ||||
\(946\) | 566.970 | − | 216.084i | 0.000633546 | − | 0.000241457i | ||||
\(947\) | −296749. | − | 716416.i | −0.330894 | − | 0.798850i | −0.998522 | − | 0.0543542i | \(-0.982690\pi\) |
0.667627 | − | 0.744496i | \(-0.267310\pi\) | |||||||
\(948\) | −108006. | + | 43238.3i | −0.120180 | + | 0.0481119i | ||||
\(949\) | −692193. | + | 1.67110e6i | −0.768590 | + | 1.85554i | ||||
\(950\) | −133594. | − | 141456.i | −0.148027 | − | 0.156737i | ||||
\(951\) | 1.12607e6 | − | 50979.5i | 1.24510 | − | 0.0563683i | ||||
\(952\) | −24146.0 | + | 46559.5i | −0.0266423 | + | 0.0513729i | ||||
\(953\) | 915530. | − | 915530.i | 1.00806 | − | 1.00806i | 0.00809381 | − | 0.999967i | \(-0.497424\pi\) |
0.999967 | − | 0.00809381i | \(-0.00257637\pi\) | |||||||
\(954\) | −34788.6 | − | 561218.i | −0.0382243 | − | 0.616645i | ||||
\(955\) | 6961.89 | + | 2883.71i | 0.00763344 | + | 0.00316187i | ||||
\(956\) | 149811. | + | 167992.i | 0.163918 | + | 0.183812i | ||||
\(957\) | −8458.82 | − | 3063.36i | −0.00923604 | − | 0.00334483i | ||||
\(958\) | −219617. | + | 490107.i | −0.239296 | + | 0.534022i | ||||
\(959\) | 1.94206e6i | 2.11166i | ||||||||
\(960\) | 4179.50 | − | 32941.4i | 0.00453505 | − | 0.0357437i | ||||
\(961\) | 348240. | 0.377079 | ||||||||
\(962\) | 920261. | + | 412369.i | 0.994399 | + | 0.445591i | ||||
\(963\) | −655865. | − | 1.25007e6i | −0.707232 | − | 1.34798i | ||||
\(964\) | 610941. | − | 544820.i | 0.657424 | − | 0.586271i | ||||
\(965\) | 14089.2 | − | 34014.2i | 0.0151297 | − | 0.0365263i | ||||
\(966\) | 795960. | − | 822945.i | 0.852976 | − | 0.881894i | ||||
\(967\) | −242644. | − | 242644.i | −0.259488 | − | 0.259488i | 0.565358 | − | 0.824846i | \(-0.308738\pi\) |
−0.824846 | + | 0.565358i | \(0.808738\pi\) | |||||||
\(968\) | −431163. | + | 831390.i | −0.460141 | + | 0.887267i | ||||
\(969\) | −10669.9 | + | 483.050i | −0.0113636 | + | 0.000514452i | ||||
\(970\) | 21175.3 | − | 19998.5i | 0.0225054 | − | 0.0212546i | ||||
\(971\) | 328178. | + | 135936.i | 0.348073 | + | 0.144177i | 0.549869 | − | 0.835251i | \(-0.314678\pi\) |
−0.201796 | + | 0.979428i | \(0.564678\pi\) | |||||||
\(972\) | −799590. | + | 503262.i | −0.846320 | + | 0.532674i | ||||
\(973\) | 444627. | − | 184170.i | 0.469645 | − | 0.194533i | ||||
\(974\) | 490297. | + | 1.28646e6i | 0.516822 | + | 1.35606i | ||||
\(975\) | −929552. | − | 849032.i | −0.977832 | − | 0.893130i | ||||
\(976\) | −365966. | + | 104603.i | −0.384185 | + | 0.109810i | ||||
\(977\) | 495724. | 0.519339 | 0.259669 | − | 0.965698i | \(-0.416386\pi\) | ||||
0.259669 | + | 0.965698i | \(0.416386\pi\) | |||||||
\(978\) | −251369. | + | 636670.i | −0.262805 | + | 0.665636i | ||||
\(979\) | 27948.6 | − | 11576.7i | 0.0291605 | − | 0.0120787i | ||||
\(980\) | −2348.23 | − | 6733.48i | −0.00244505 | − | 0.00701112i | ||||
\(981\) | −1.26948e6 | − | 395781.i | −1.31913 | − | 0.411261i | ||||
\(982\) | 1.04386e6 | + | 1.10529e6i | 1.08248 | + | 1.14618i | ||||
\(983\) | −877174. | − | 877174.i | −0.907776 | − | 0.907776i | 0.0883168 | − | 0.996092i | \(-0.471851\pi\) |
−0.996092 | + | 0.0883168i | \(0.971851\pi\) | |||||||
\(984\) | −479354. | + | 442035.i | −0.495069 | + | 0.456527i | ||||
\(985\) | −31331.9 | − | 31331.9i | −0.0322934 | − | 0.0322934i | ||||
\(986\) | −22187.2 | − | 634.149i | −0.0228217 | − | 0.000652285i | ||||
\(987\) | −810555. | − | 1.73097e6i | −0.832048 | − | 1.77687i | ||||
\(988\) | −278968. | − | 15959.8i | −0.285785 | − | 0.0163498i | ||||
\(989\) | −30190.6 | + | 12505.3i | −0.0308659 | + | 0.0127851i | ||||
\(990\) | 757.215 | + | 260.034i | 0.000772589 | + | 0.000265314i | ||||
\(991\) | −1.79994e6 | −1.83278 | −0.916392 | − | 0.400282i | \(-0.868912\pi\) | ||||
−0.916392 | + | 0.400282i | \(0.868912\pi\) | |||||||
\(992\) | 589324. | − | 993094.i | 0.598868 | − | 1.00918i | ||||
\(993\) | 1.07444e6 | − | 1.17633e6i | 1.08964 | − | 1.19298i | ||||
\(994\) | 1.25922e6 | + | 564258.i | 1.27447 | + | 0.571090i | ||||
\(995\) | −24051.2 | + | 9962.32i | −0.0242935 | + | 0.0100627i | ||||
\(996\) | −76918.1 | + | 75107.9i | −0.0775371 | + | 0.0757123i | ||||
\(997\) | 425494. | + | 176245.i | 0.428059 | + | 0.177308i | 0.586302 | − | 0.810092i | \(-0.300583\pi\) |
−0.158244 | + | 0.987400i | \(0.550583\pi\) | |||||||
\(998\) | −1.02944e6 | − | 29423.2i | −1.03357 | − | 0.0295412i | ||||
\(999\) | 110966. | + | 812559.i | 0.111188 | + | 0.814187i |
(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 | 96.5.p.a.5.9 | ✓ | 248 | |
3.2 | odd | 2 | inner | 96.5.p.a.5.54 | yes | 248 | |
32.13 | even | 8 | inner | 96.5.p.a.77.54 | yes | 248 | |
96.77 | odd | 8 | inner | 96.5.p.a.77.9 | yes | 248 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.5.p.a.5.9 | ✓ | 248 | 1.1 | even | 1 | trivial | |
96.5.p.a.5.54 | yes | 248 | 3.2 | odd | 2 | inner | |
96.5.p.a.77.9 | yes | 248 | 96.77 | odd | 8 | inner | |
96.5.p.a.77.54 | yes | 248 | 32.13 | even | 8 | inner |