Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,5,Mod(7,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.7");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.72131867102\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Character | \(\chi\) | \(=\) | 36.7 |
Dual form | 36.5.f.a.31.1 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.96529 | + | 0.525827i | −0.991322 | + | 0.131457i | ||||
\(3\) | −4.76702 | + | 7.63384i | −0.529669 | + | 0.848205i | ||||
\(4\) | 15.4470 | − | 4.17011i | 0.965438 | − | 0.260632i | ||||
\(5\) | 11.0746 | + | 19.1817i | 0.442982 | + | 0.767268i | 0.997909 | − | 0.0646314i | \(-0.0205872\pi\) |
−0.554927 | + | 0.831899i | \(0.687254\pi\) | |||||||
\(6\) | 14.8885 | − | 32.7770i | 0.413570 | − | 0.910472i | ||||
\(7\) | −82.7885 | − | 47.7980i | −1.68956 | − | 0.975469i | −0.954850 | − | 0.297089i | \(-0.903984\pi\) |
−0.734711 | − | 0.678380i | \(-0.762682\pi\) | |||||||
\(8\) | −59.0591 | + | 24.6582i | −0.922798 | + | 0.385284i | ||||
\(9\) | −35.5511 | − | 72.7813i | −0.438902 | − | 0.898535i | ||||
\(10\) | −54.0000 | − | 70.2376i | −0.540000 | − | 0.702376i | ||||
\(11\) | 18.9394 | + | 10.9346i | 0.156524 | + | 0.0903689i | 0.576216 | − | 0.817297i | \(-0.304529\pi\) |
−0.419692 | + | 0.907666i | \(0.637862\pi\) | |||||||
\(12\) | −41.8022 | + | 137.799i | −0.290293 | + | 0.956938i | ||||
\(13\) | −63.1124 | − | 109.314i | −0.373446 | − | 0.646827i | 0.616647 | − | 0.787240i | \(-0.288491\pi\) |
−0.990093 | + | 0.140412i | \(0.955157\pi\) | |||||||
\(14\) | 353.414 | + | 146.000i | 1.80313 | + | 0.744899i | ||||
\(15\) | −199.223 | − | 6.89808i | −0.885434 | − | 0.0306581i | ||||
\(16\) | 221.220 | − | 128.832i | 0.864142 | − | 0.503248i | ||||
\(17\) | −283.865 | −0.982232 | −0.491116 | − | 0.871094i | \(-0.663411\pi\) | ||||
−0.491116 | + | 0.871094i | \(0.663411\pi\) | |||||||
\(18\) | 179.241 | + | 269.905i | 0.553212 | + | 0.833041i | ||||
\(19\) | 323.729i | 0.896756i | 0.893844 | + | 0.448378i | \(0.147998\pi\) | ||||
−0.893844 | + | 0.448378i | \(0.852002\pi\) | |||||||
\(20\) | 251.059 | + | 250.118i | 0.627646 | + | 0.625294i | ||||
\(21\) | 759.536 | − | 404.141i | 1.72230 | − | 0.916418i | ||||
\(22\) | −80.8497 | − | 33.4002i | −0.167045 | − | 0.0690086i | ||||
\(23\) | −198.433 | + | 114.565i | −0.375109 | + | 0.216570i | −0.675688 | − | 0.737187i | \(-0.736153\pi\) |
0.300579 | + | 0.953757i | \(0.402820\pi\) | |||||||
\(24\) | 93.2993 | − | 568.394i | 0.161978 | − | 0.986794i | ||||
\(25\) | 67.2085 | − | 116.409i | 0.107534 | − | 0.186254i | ||||
\(26\) | 307.739 | + | 400.274i | 0.455235 | + | 0.592122i | ||||
\(27\) | 725.074 | + | 75.5587i | 0.994614 | + | 0.103647i | ||||
\(28\) | −1478.16 | − | 393.098i | −1.88541 | − | 0.501401i | ||||
\(29\) | −604.822 | + | 1047.58i | −0.719170 | + | 1.24564i | 0.242160 | + | 0.970236i | \(0.422144\pi\) |
−0.961329 | + | 0.275402i | \(0.911189\pi\) | |||||||
\(30\) | 793.602 | − | 77.4038i | 0.881780 | − | 0.0860042i | ||||
\(31\) | −718.565 | + | 414.863i | −0.747726 | + | 0.431700i | −0.824872 | − | 0.565320i | \(-0.808753\pi\) |
0.0771458 | + | 0.997020i | \(0.475419\pi\) | |||||||
\(32\) | −809.459 | + | 627.178i | −0.790487 | + | 0.612478i | ||||
\(33\) | −173.758 | + | 92.4544i | −0.159557 | + | 0.0848984i | ||||
\(34\) | 1125.61 | − | 149.264i | 0.973708 | − | 0.129121i | ||||
\(35\) | − | 2117.36i | − | 1.72846i | ||||||
\(36\) | −852.664 | − | 976.002i | −0.657920 | − | 0.753088i | ||||
\(37\) | −318.650 | −0.232761 | −0.116380 | − | 0.993205i | \(-0.537129\pi\) | ||||
−0.116380 | + | 0.993205i | \(0.537129\pi\) | |||||||
\(38\) | −170.226 | − | 1283.68i | −0.117885 | − | 0.888974i | ||||
\(39\) | 1135.34 | + | 39.3112i | 0.746444 | + | 0.0258456i | ||||
\(40\) | −1127.04 | − | 859.775i | −0.704399 | − | 0.537359i | ||||
\(41\) | −164.418 | − | 284.781i | −0.0978099 | − | 0.169412i | 0.812968 | − | 0.582308i | \(-0.197850\pi\) |
−0.910778 | + | 0.412897i | \(0.864517\pi\) | |||||||
\(42\) | −2799.27 | + | 2001.92i | −1.58689 | + | 1.13487i | ||||
\(43\) | 179.336 | + | 103.539i | 0.0969906 | + | 0.0559976i | 0.547711 | − | 0.836668i | \(-0.315499\pi\) |
−0.450720 | + | 0.892665i | \(0.648833\pi\) | |||||||
\(44\) | 338.155 | + | 89.9283i | 0.174667 | + | 0.0464506i | ||||
\(45\) | 1002.36 | − | 1487.95i | 0.494991 | − | 0.734790i | ||||
\(46\) | 726.602 | − | 558.626i | 0.343385 | − | 0.264001i | ||||
\(47\) | 1062.42 | + | 613.390i | 0.480952 | + | 0.277678i | 0.720813 | − | 0.693129i | \(-0.243769\pi\) |
−0.239861 | + | 0.970807i | \(0.577102\pi\) | |||||||
\(48\) | −71.0817 | + | 2302.90i | −0.0308514 | + | 0.999524i | ||||
\(49\) | 3368.79 | + | 5834.92i | 1.40308 | + | 2.43020i | ||||
\(50\) | −205.290 | + | 496.933i | −0.0821161 | + | 0.198773i | ||||
\(51\) | 1353.19 | − | 2166.98i | 0.520258 | − | 0.833134i | ||||
\(52\) | −1430.75 | − | 1425.39i | −0.529123 | − | 0.527140i | ||||
\(53\) | −2834.27 | −1.00900 | −0.504499 | − | 0.863412i | \(-0.668323\pi\) | ||||
−0.504499 | + | 0.863412i | \(0.668323\pi\) | |||||||
\(54\) | −2914.86 | + | 81.6516i | −0.999608 | + | 0.0280012i | ||||
\(55\) | 484.385i | 0.160127i | ||||||||
\(56\) | 6068.02 | + | 781.492i | 1.93496 | + | 0.249200i | ||||
\(57\) | −2471.30 | − | 1543.22i | −0.760633 | − | 0.474984i | ||||
\(58\) | 1847.44 | − | 4471.99i | 0.549181 | − | 1.32937i | ||||
\(59\) | −1278.13 | + | 737.929i | −0.367173 | + | 0.211988i | −0.672223 | − | 0.740349i | \(-0.734660\pi\) |
0.305049 | + | 0.952337i | \(0.401327\pi\) | |||||||
\(60\) | −3106.16 | + | 724.226i | −0.862822 | + | 0.201174i | ||||
\(61\) | 936.180 | − | 1621.51i | 0.251594 | − | 0.435773i | −0.712371 | − | 0.701803i | \(-0.752379\pi\) |
0.963965 | + | 0.266030i | \(0.0857120\pi\) | |||||||
\(62\) | 2631.17 | − | 2022.89i | 0.684487 | − | 0.526247i | ||||
\(63\) | −535.579 | + | 7724.73i | −0.134941 | + | 1.94627i | ||||
\(64\) | 2879.95 | − | 2912.58i | 0.703113 | − | 0.711078i | ||||
\(65\) | 1397.88 | − | 2421.20i | 0.330860 | − | 0.573066i | ||||
\(66\) | 640.384 | − | 457.975i | 0.147012 | − | 0.105137i | ||||
\(67\) | −214.663 | + | 123.936i | −0.0478197 | + | 0.0276087i | −0.523719 | − | 0.851891i | \(-0.675456\pi\) |
0.475900 | + | 0.879500i | \(0.342123\pi\) | |||||||
\(68\) | −4384.87 | + | 1183.75i | −0.948284 | + | 0.256001i | ||||
\(69\) | 71.3600 | − | 2060.94i | 0.0149885 | − | 0.432880i | ||||
\(70\) | 1113.37 | + | 8395.96i | 0.227218 | + | 1.71346i | ||||
\(71\) | − | 4308.28i | − | 0.854648i | −0.904099 | − | 0.427324i | \(-0.859456\pi\) | ||
0.904099 | − | 0.427324i | \(-0.140544\pi\) | |||||||
\(72\) | 3894.27 | + | 3421.77i | 0.751209 | + | 0.660065i | ||||
\(73\) | 3010.75 | 0.564974 | 0.282487 | − | 0.959271i | \(-0.408841\pi\) | ||||
0.282487 | + | 0.959271i | \(0.408841\pi\) | |||||||
\(74\) | 1263.54 | − | 167.555i | 0.230741 | − | 0.0305980i | ||||
\(75\) | 568.260 | + | 1067.98i | 0.101024 | + | 0.189863i | ||||
\(76\) | 1349.99 | + | 5000.65i | 0.233723 | + | 0.865763i | ||||
\(77\) | −1045.31 | − | 1810.52i | −0.176304 | − | 0.305368i | ||||
\(78\) | −4522.63 | + | 441.113i | −0.743364 | + | 0.0725039i | ||||
\(79\) | −6228.39 | − | 3595.96i | −0.997980 | − | 0.576184i | −0.0903300 | − | 0.995912i | \(-0.528792\pi\) |
−0.907650 | + | 0.419728i | \(0.862126\pi\) | |||||||
\(80\) | 4921.12 | + | 2816.63i | 0.768926 | + | 0.440098i | ||||
\(81\) | −4033.24 | + | 5174.91i | −0.614730 | + | 0.788738i | ||||
\(82\) | 801.712 | + | 1042.78i | 0.119231 | + | 0.155084i | ||||
\(83\) | −2877.35 | − | 1661.24i | −0.417673 | − | 0.241144i | 0.276408 | − | 0.961040i | \(-0.410856\pi\) |
−0.694081 | + | 0.719897i | \(0.744189\pi\) | |||||||
\(84\) | 10047.3 | − | 9410.12i | 1.42393 | − | 1.33363i | ||||
\(85\) | −3143.68 | − | 5445.01i | −0.435111 | − | 0.753635i | ||||
\(86\) | −765.561 | − | 316.264i | −0.103510 | − | 0.0427615i | ||||
\(87\) | −5113.88 | − | 9610.95i | −0.675634 | − | 1.26978i | ||||
\(88\) | −1388.17 | − | 178.780i | −0.179257 | − | 0.0230863i | ||||
\(89\) | −1549.85 | −0.195664 | −0.0978318 | − | 0.995203i | \(-0.531191\pi\) | ||||
−0.0978318 | + | 0.995203i | \(0.531191\pi\) | |||||||
\(90\) | −3192.23 | + | 6427.22i | −0.394102 | + | 0.793484i | ||||
\(91\) | 12066.6i | 1.45714i | ||||||||
\(92\) | −2587.44 | + | 2597.18i | −0.305700 | + | 0.306850i | ||||
\(93\) | 258.409 | − | 7463.07i | 0.0298773 | − | 0.862882i | ||||
\(94\) | −4535.35 | − | 1873.62i | −0.513281 | − | 0.212044i | ||||
\(95\) | −6209.67 | + | 3585.16i | −0.688052 | + | 0.397247i | ||||
\(96\) | −929.070 | − | 9169.05i | −0.100811 | − | 0.994906i | ||||
\(97\) | −2918.68 | + | 5055.31i | −0.310201 | + | 0.537285i | −0.978406 | − | 0.206693i | \(-0.933730\pi\) |
0.668204 | + | 0.743978i | \(0.267063\pi\) | |||||||
\(98\) | −16426.4 | − | 21365.7i | −1.71037 | − | 2.22467i | ||||
\(99\) | 122.523 | − | 1767.17i | 0.0125011 | − | 0.180305i | ||||
\(100\) | 552.734 | − | 2078.43i | 0.0552734 | − | 0.207843i | ||||
\(101\) | 2749.50 | − | 4762.27i | 0.269532 | − | 0.466844i | −0.699209 | − | 0.714918i | \(-0.746464\pi\) |
0.968741 | + | 0.248074i | \(0.0797976\pi\) | |||||||
\(102\) | −4226.33 | + | 9304.25i | −0.406222 | + | 0.894295i | ||||
\(103\) | 15530.7 | − | 8966.63i | 1.46391 | − | 0.845191i | 0.464725 | − | 0.885455i | \(-0.346153\pi\) |
0.999189 | + | 0.0402641i | \(0.0128199\pi\) | |||||||
\(104\) | 6422.83 | + | 4899.74i | 0.593827 | + | 0.453008i | ||||
\(105\) | 16163.6 | + | 10093.5i | 1.46609 | + | 0.915512i | ||||
\(106\) | 11238.7 | − | 1490.34i | 1.00024 | − | 0.132640i | ||||
\(107\) | 8715.17i | 0.761217i | 0.924736 | + | 0.380608i | \(0.124285\pi\) | ||||
−0.924736 | + | 0.380608i | \(0.875715\pi\) | |||||||
\(108\) | 11515.3 | − | 1856.48i | 0.987252 | − | 0.159164i | ||||
\(109\) | −12162.1 | −1.02366 | −0.511830 | − | 0.859087i | \(-0.671032\pi\) | ||||
−0.511830 | + | 0.859087i | \(0.671032\pi\) | |||||||
\(110\) | −254.703 | − | 1920.73i | −0.0210498 | − | 0.158738i | ||||
\(111\) | 1519.01 | − | 2432.52i | 0.123286 | − | 0.197429i | ||||
\(112\) | −24472.4 | + | 91.8909i | −1.95092 | + | 0.00732549i | ||||
\(113\) | 10236.7 | + | 17730.5i | 0.801684 | + | 1.38856i | 0.918507 | + | 0.395404i | \(0.129396\pi\) |
−0.116823 | + | 0.993153i | \(0.537271\pi\) | |||||||
\(114\) | 10610.9 | + | 4819.85i | 0.816472 | + | 0.370871i | ||||
\(115\) | −4395.11 | − | 2537.52i | −0.332334 | − | 0.191873i | ||||
\(116\) | −4974.15 | + | 18704.2i | −0.369661 | + | 1.39003i | ||||
\(117\) | −5712.29 | + | 8479.62i | −0.417291 | + | 0.619448i | ||||
\(118\) | 4680.13 | − | 3598.18i | 0.336120 | − | 0.258415i | ||||
\(119\) | 23500.8 | + | 13568.2i | 1.65954 | + | 0.958136i | ||||
\(120\) | 11936.0 | − | 4505.07i | 0.828889 | − | 0.312852i | ||||
\(121\) | −7081.37 | − | 12265.3i | −0.483667 | − | 0.837736i | ||||
\(122\) | −2859.59 | + | 6922.03i | −0.192125 | + | 0.465065i | ||||
\(123\) | 2957.76 | + | 102.412i | 0.195503 | + | 0.00676928i | ||||
\(124\) | −9369.65 | + | 9404.89i | −0.609368 | + | 0.611661i | ||||
\(125\) | 16820.4 | 1.07651 | ||||||||
\(126\) | −1938.15 | − | 30912.4i | −0.122080 | − | 1.94711i | ||||
\(127\) | − | 8130.42i | − | 0.504087i | −0.967716 | − | 0.252044i | \(-0.918897\pi\) | ||
0.967716 | − | 0.252044i | \(-0.0811026\pi\) | |||||||
\(128\) | −9888.32 | + | 13063.6i | −0.603535 | + | 0.797336i | ||||
\(129\) | −1645.30 | + | 875.445i | −0.0988703 | + | 0.0526077i | ||||
\(130\) | −4269.87 | + | 10335.8i | −0.252655 | + | 0.611586i | ||||
\(131\) | 14095.1 | − | 8137.79i | 0.821343 | − | 0.474203i | −0.0295362 | − | 0.999564i | \(-0.509403\pi\) |
0.850879 | + | 0.525361i | \(0.176070\pi\) | |||||||
\(132\) | −2298.49 | + | 2152.73i | −0.131915 | + | 0.123550i | ||||
\(133\) | 15473.6 | − | 26801.0i | 0.874758 | − | 1.51512i | ||||
\(134\) | 786.030 | − | 604.315i | 0.0437754 | − | 0.0336554i | ||||
\(135\) | 6580.52 | + | 14744.9i | 0.361071 | + | 0.809049i | ||||
\(136\) | 16764.8 | − | 6999.59i | 0.906402 | − | 0.378438i | ||||
\(137\) | −12331.4 | + | 21358.7i | −0.657011 | + | 1.13798i | 0.324375 | + | 0.945929i | \(0.394846\pi\) |
−0.981386 | + | 0.192047i | \(0.938487\pi\) | |||||||
\(138\) | 800.735 | + | 8209.74i | 0.0420466 | + | 0.431093i | ||||
\(139\) | 17078.1 | − | 9860.04i | 0.883913 | − | 0.510328i | 0.0119667 | − | 0.999928i | \(-0.496191\pi\) |
0.871947 | + | 0.489601i | \(0.162857\pi\) | |||||||
\(140\) | −8829.65 | − | 32707.0i | −0.450492 | − | 1.66872i | ||||
\(141\) | −9747.12 | + | 5186.33i | −0.490273 | + | 0.260869i | ||||
\(142\) | 2265.41 | + | 17083.6i | 0.112349 | + | 0.847231i | ||||
\(143\) | − | 2760.44i | − | 0.134992i | ||||||
\(144\) | −17241.2 | − | 11520.6i | −0.831460 | − | 0.555585i | ||||
\(145\) | −26792.5 | −1.27432 | ||||||||
\(146\) | −11938.5 | + | 1583.13i | −0.560072 | + | 0.0742697i | ||||
\(147\) | −60601.9 | − | 2098.34i | −2.80448 | − | 0.0971050i | ||||
\(148\) | −4922.18 | + | 1328.80i | −0.224716 | + | 0.0606649i | ||||
\(149\) | −14942.7 | − | 25881.6i | −0.673066 | − | 1.16578i | −0.977030 | − | 0.213101i | \(-0.931644\pi\) |
0.303965 | − | 0.952683i | \(-0.401690\pi\) | |||||||
\(150\) | −2814.89 | − | 3936.04i | −0.125106 | − | 0.174935i | ||||
\(151\) | −5164.11 | − | 2981.50i | −0.226486 | − | 0.130762i | 0.382464 | − | 0.923970i | \(-0.375076\pi\) |
−0.608950 | + | 0.793209i | \(0.708409\pi\) | |||||||
\(152\) | −7982.56 | − | 19119.1i | −0.345506 | − | 0.827525i | ||||
\(153\) | 10091.7 | + | 20660.1i | 0.431104 | + | 0.882570i | ||||
\(154\) | 5096.97 | + | 6629.60i | 0.214917 | + | 0.279541i | ||||
\(155\) | −15915.6 | − | 9188.85i | −0.662458 | − | 0.382471i | ||||
\(156\) | 17701.6 | − | 4127.26i | 0.727382 | − | 0.169595i | ||||
\(157\) | 17493.5 | + | 30299.6i | 0.709704 | + | 1.22924i | 0.964967 | + | 0.262372i | \(0.0845048\pi\) |
−0.255262 | + | 0.966872i | \(0.582162\pi\) | |||||||
\(158\) | 26588.2 | + | 10984.0i | 1.06506 | + | 0.439993i | ||||
\(159\) | 13511.0 | − | 21636.4i | 0.534435 | − | 0.855837i | ||||
\(160\) | −20994.7 | − | 8581.08i | −0.820107 | − | 0.335198i | ||||
\(161\) | 21903.9 | 0.845027 | ||||||||
\(162\) | 13271.9 | − | 22640.8i | 0.505710 | − | 0.862703i | ||||
\(163\) | 14509.8i | 0.546118i | 0.961997 | + | 0.273059i | \(0.0880354\pi\) | ||||
−0.961997 | + | 0.273059i | \(0.911965\pi\) | |||||||
\(164\) | −3727.34 | − | 3713.37i | −0.138584 | − | 0.138064i | ||||
\(165\) | −3697.72 | − | 2309.07i | −0.135821 | − | 0.0848144i | ||||
\(166\) | 12283.0 | + | 5074.30i | 0.445749 | + | 0.184145i | ||||
\(167\) | −38640.1 | + | 22308.9i | −1.38550 | + | 0.799917i | −0.992804 | − | 0.119753i | \(-0.961790\pi\) |
−0.392693 | + | 0.919670i | \(0.628457\pi\) | |||||||
\(168\) | −34892.2 | + | 42596.9i | −1.23626 | + | 1.50925i | ||||
\(169\) | 6314.16 | − | 10936.5i | 0.221076 | − | 0.382916i | ||||
\(170\) | 15328.7 | + | 19938.0i | 0.530406 | + | 0.689896i | ||||
\(171\) | 23561.4 | − | 11508.9i | 0.805767 | − | 0.393588i | ||||
\(172\) | 3201.97 | + | 851.526i | 0.108233 | + | 0.0287833i | ||||
\(173\) | 26443.3 | − | 45801.1i | 0.883534 | − | 1.53033i | 0.0361488 | − | 0.999346i | \(-0.488491\pi\) |
0.847385 | − | 0.530979i | \(-0.178176\pi\) | |||||||
\(174\) | 25331.7 | + | 35421.2i | 0.836692 | + | 1.16994i | ||||
\(175\) | −11128.2 | + | 6424.86i | −0.363369 | + | 0.209791i | ||||
\(176\) | 5598.50 | − | 21.0217i | 0.180737 | − | 0.000678644i | ||||
\(177\) | 459.639 | − | 13274.8i | 0.0146714 | − | 0.423721i | ||||
\(178\) | 6145.61 | − | 814.954i | 0.193966 | − | 0.0257213i | ||||
\(179\) | 32840.8i | 1.02496i | 0.858698 | + | 0.512482i | \(0.171274\pi\) | ||||
−0.858698 | + | 0.512482i | \(0.828726\pi\) | |||||||
\(180\) | 9278.49 | − | 27164.3i | 0.286373 | − | 0.838405i | ||||
\(181\) | −22758.6 | −0.694685 | −0.347343 | − | 0.937738i | \(-0.612916\pi\) | ||||
−0.347343 | + | 0.937738i | \(0.612916\pi\) | |||||||
\(182\) | −6344.93 | − | 47847.4i | −0.191551 | − | 1.44449i | ||||
\(183\) | 7915.57 | + | 14876.4i | 0.236363 | + | 0.444218i | ||||
\(184\) | 8894.30 | − | 11659.1i | 0.262710 | − | 0.344373i | ||||
\(185\) | −3528.90 | − | 6112.24i | −0.103109 | − | 0.178590i | ||||
\(186\) | 2899.62 | + | 29729.1i | 0.0838137 | + | 0.859322i | ||||
\(187\) | −5376.22 | − | 3103.96i | −0.153742 | − | 0.0887632i | ||||
\(188\) | 18969.2 | + | 5044.62i | 0.536701 | + | 0.142729i | ||||
\(189\) | −56416.2 | − | 40912.4i | −1.57936 | − | 1.14533i | ||||
\(190\) | 22738.0 | − | 17481.4i | 0.629860 | − | 0.484249i | ||||
\(191\) | −49799.3 | − | 28751.7i | −1.36508 | − | 0.788127i | −0.374782 | − | 0.927113i | \(-0.622282\pi\) |
−0.990294 | + | 0.138986i | \(0.955616\pi\) | |||||||
\(192\) | 8505.37 | + | 35869.4i | 0.230723 | + | 0.973020i | ||||
\(193\) | 22470.8 | + | 38920.5i | 0.603259 | + | 1.04488i | 0.992324 | + | 0.123665i | \(0.0394648\pi\) |
−0.389065 | + | 0.921210i | \(0.627202\pi\) | |||||||
\(194\) | 8915.21 | − | 21580.5i | 0.236880 | − | 0.573400i | ||||
\(195\) | 11819.4 | + | 22213.1i | 0.310831 | + | 0.584172i | ||||
\(196\) | 76370.0 | + | 76083.8i | 1.98797 | + | 1.98052i | ||||
\(197\) | −44514.7 | −1.14702 | −0.573510 | − | 0.819198i | \(-0.694419\pi\) | ||||
−0.573510 | + | 0.819198i | \(0.694419\pi\) | |||||||
\(198\) | 443.385 | + | 7071.76i | 0.0113097 | + | 0.180384i | ||||
\(199\) | 19066.9i | 0.481474i | 0.970590 | + | 0.240737i | \(0.0773892\pi\) | ||||
−0.970590 | + | 0.240737i | \(0.922611\pi\) | |||||||
\(200\) | −1098.85 | + | 8532.22i | −0.0274713 | + | 0.213305i | ||||
\(201\) | 77.1966 | − | 2229.50i | 0.00191076 | − | 0.0551844i | ||||
\(202\) | −8398.42 | + | 20329.5i | −0.205824 | + | 0.498224i | ||||
\(203\) | 100145. | − | 57818.5i | 2.43016 | − | 1.40305i | ||||
\(204\) | 11866.2 | − | 39116.3i | 0.285135 | − | 0.939935i | ||||
\(205\) | 3641.72 | − | 6307.65i | 0.0866561 | − | 0.150093i | ||||
\(206\) | −56868.6 | + | 43721.7i | −1.34010 | + | 1.03030i | ||||
\(207\) | 15392.7 | + | 10369.3i | 0.359232 | + | 0.241996i | ||||
\(208\) | −28044.8 | − | 16051.6i | −0.648225 | − | 0.371014i | ||||
\(209\) | −3539.86 | + | 6131.22i | −0.0810389 | + | 0.140364i | ||||
\(210\) | −69400.9 | − | 31524.4i | −1.57372 | − | 0.714839i | ||||
\(211\) | 825.251 | − | 476.459i | 0.0185362 | − | 0.0107019i | −0.490703 | − | 0.871327i | \(-0.663260\pi\) |
0.509239 | + | 0.860625i | \(0.329927\pi\) | |||||||
\(212\) | −43781.1 | + | 11819.2i | −0.974125 | + | 0.262977i | ||||
\(213\) | 32888.7 | + | 20537.6i | 0.724916 | + | 0.452680i | ||||
\(214\) | −4582.67 | − | 34558.1i | −0.100067 | − | 0.754611i | ||||
\(215\) | 4586.61i | 0.0992237i | ||||||||
\(216\) | −44685.3 | + | 13416.6i | −0.957762 | + | 0.287563i | ||||
\(217\) | 79318.5 | 1.68444 | ||||||||
\(218\) | 48226.2 | − | 6395.17i | 1.01478 | − | 0.134567i | ||||
\(219\) | −14352.3 | + | 22983.6i | −0.299249 | + | 0.479214i | ||||
\(220\) | 2019.94 | + | 7482.30i | 0.0417343 | + | 0.154593i | ||||
\(221\) | 17915.4 | + | 31030.4i | 0.366810 | + | 0.635334i | ||||
\(222\) | −4744.22 | + | 10444.4i | −0.0962629 | + | 0.211922i | ||||
\(223\) | −37535.4 | − | 21671.1i | −0.754800 | − | 0.435784i | 0.0726258 | − | 0.997359i | \(-0.476862\pi\) |
−0.827426 | + | 0.561575i | \(0.810195\pi\) | |||||||
\(224\) | 96991.7 | − | 13232.6i | 1.93303 | − | 0.263724i | ||||
\(225\) | −10861.7 | − | 753.076i | −0.214552 | − | 0.0148756i | ||||
\(226\) | −49914.6 | − | 64923.7i | −0.977262 | − | 1.27112i | ||||
\(227\) | −5202.66 | − | 3003.76i | −0.100966 | − | 0.0582925i | 0.448667 | − | 0.893699i | \(-0.351899\pi\) |
−0.549633 | + | 0.835406i | \(0.685232\pi\) | |||||||
\(228\) | −44609.6 | − | 13532.6i | −0.858140 | − | 0.260322i | ||||
\(229\) | 2038.17 | + | 3530.22i | 0.0388660 | + | 0.0673180i | 0.884804 | − | 0.465963i | \(-0.154292\pi\) |
−0.845938 | + | 0.533281i | \(0.820959\pi\) | |||||||
\(230\) | 18762.2 | + | 7750.92i | 0.354673 | + | 0.146520i | ||||
\(231\) | 18804.3 | + | 651.097i | 0.352397 | + | 0.0122017i | ||||
\(232\) | 9888.77 | − | 76783.0i | 0.183724 | − | 1.42656i | ||||
\(233\) | −37427.6 | −0.689414 | −0.344707 | − | 0.938710i | \(-0.612022\pi\) | ||||
−0.344707 | + | 0.938710i | \(0.612022\pi\) | |||||||
\(234\) | 18192.1 | − | 36627.8i | 0.332239 | − | 0.668928i | ||||
\(235\) | 27172.1i | 0.492025i | ||||||||
\(236\) | −16666.1 | + | 16728.7i | −0.299232 | + | 0.300358i | ||||
\(237\) | 57141.9 | − | 30404.5i | 1.01732 | − | 0.541305i | ||||
\(238\) | −100322. | − | 41444.4i | −1.77109 | − | 0.731664i | ||||
\(239\) | −22212.3 | + | 12824.3i | −0.388865 | + | 0.224511i | −0.681668 | − | 0.731662i | \(-0.738745\pi\) |
0.292804 | + | 0.956173i | \(0.405412\pi\) | |||||||
\(240\) | −44960.8 | + | 24140.2i | −0.780569 | + | 0.419100i | ||||
\(241\) | −38300.8 | + | 66339.0i | −0.659438 | + | 1.14218i | 0.321323 | + | 0.946970i | \(0.395872\pi\) |
−0.980761 | + | 0.195211i | \(0.937461\pi\) | |||||||
\(242\) | 34529.1 | + | 44911.8i | 0.589596 | + | 0.766884i | ||||
\(243\) | −20277.9 | − | 55458.0i | −0.343408 | − | 0.939186i | ||||
\(244\) | 7699.30 | − | 28951.5i | 0.129322 | − | 0.486285i | ||||
\(245\) | −74615.7 | + | 129238.i | −1.24308 | + | 2.15307i | ||||
\(246\) | −11782.2 | + | 1149.18i | −0.194696 | + | 0.0189896i | ||||
\(247\) | 35388.1 | − | 20431.3i | 0.580046 | − | 0.334890i | ||||
\(248\) | 32208.0 | − | 42219.9i | 0.523673 | − | 0.686458i | ||||
\(249\) | 26398.0 | − | 14046.1i | 0.425768 | − | 0.226546i | ||||
\(250\) | −66697.8 | + | 8844.63i | −1.06716 | + | 0.141514i | ||||
\(251\) | − | 66642.6i | − | 1.05780i | −0.848683 | − | 0.528902i | \(-0.822604\pi\) | ||
0.848683 | − | 0.528902i | \(-0.177396\pi\) | |||||||
\(252\) | 23939.9 | + | 121557.i | 0.376982 | + | 1.91417i | ||||
\(253\) | −5010.92 | −0.0782846 | ||||||||
\(254\) | 4275.20 | + | 32239.5i | 0.0662657 | + | 0.499713i | ||||
\(255\) | 56552.3 | + | 1958.12i | 0.869701 | + | 0.0301134i | ||||
\(256\) | 32340.9 | − | 57000.3i | 0.493482 | − | 0.869756i | ||||
\(257\) | −29713.2 | − | 51464.8i | −0.449866 | − | 0.779191i | 0.548511 | − | 0.836143i | \(-0.315195\pi\) |
−0.998377 | + | 0.0569526i | \(0.981862\pi\) | |||||||
\(258\) | 6063.76 | − | 4336.54i | 0.0910966 | − | 0.0651484i | ||||
\(259\) | 26380.5 | + | 15230.8i | 0.393264 | + | 0.227051i | ||||
\(260\) | 11496.4 | − | 43229.7i | 0.170065 | − | 0.639492i | ||||
\(261\) | 97746.4 | + | 6777.07i | 1.43489 | + | 0.0994857i | ||||
\(262\) | −51611.9 | + | 39680.3i | −0.751878 | + | 0.578059i | ||||
\(263\) | 21772.1 | + | 12570.2i | 0.314767 | + | 0.181731i | 0.649058 | − | 0.760739i | \(-0.275163\pi\) |
−0.334290 | + | 0.942470i | \(0.608497\pi\) | |||||||
\(264\) | 7982.21 | − | 9744.81i | 0.114529 | − | 0.139819i | ||||
\(265\) | −31388.3 | − | 54366.2i | −0.446968 | − | 0.774171i | ||||
\(266\) | −47264.5 | + | 114410.i | −0.667993 | + | 1.61697i | ||||
\(267\) | 7388.17 | − | 11831.3i | 0.103637 | − | 0.165963i | ||||
\(268\) | −2799.07 | + | 2809.60i | −0.0389712 | + | 0.0391179i | ||||
\(269\) | 2553.46 | 0.0352877 | 0.0176439 | − | 0.999844i | \(-0.494383\pi\) | ||||
0.0176439 | + | 0.999844i | \(0.494383\pi\) | |||||||
\(270\) | −33847.0 | − | 55007.6i | −0.464293 | − | 0.754563i | ||||
\(271\) | − | 4623.11i | − | 0.0629499i | −0.999505 | − | 0.0314750i | \(-0.989980\pi\) | ||
0.999505 | − | 0.0314750i | \(-0.0100204\pi\) | |||||||
\(272\) | −62796.7 | + | 36570.8i | −0.848788 | + | 0.494307i | ||||
\(273\) | −92114.3 | − | 57521.6i | −1.23595 | − | 0.771801i | ||||
\(274\) | 37666.7 | − | 91177.4i | 0.501714 | − | 1.21447i | ||||
\(275\) | 2545.77 | − | 1469.80i | 0.0336631 | − | 0.0194354i | ||||
\(276\) | −7492.05 | − | 32132.9i | −0.0983519 | − | 0.421825i | ||||
\(277\) | 4927.19 | − | 8534.14i | 0.0642154 | − | 0.111224i | −0.832130 | − | 0.554580i | \(-0.812879\pi\) |
0.896346 | + | 0.443356i | \(0.146212\pi\) | |||||||
\(278\) | −62534.9 | + | 48078.0i | −0.809157 | + | 0.622095i | ||||
\(279\) | 55740.0 | + | 37549.2i | 0.716076 | + | 0.482384i | ||||
\(280\) | 52210.3 | + | 125050.i | 0.665948 | + | 1.59502i | ||||
\(281\) | 24208.6 | − | 41930.5i | 0.306589 | − | 0.531028i | −0.671025 | − | 0.741435i | \(-0.734146\pi\) |
0.977614 | + | 0.210407i | \(0.0674789\pi\) | |||||||
\(282\) | 35923.0 | − | 25690.6i | 0.451725 | − | 0.323054i | ||||
\(283\) | −114515. | + | 66115.1i | −1.42984 | + | 0.825520i | −0.997108 | − | 0.0760012i | \(-0.975785\pi\) |
−0.432735 | + | 0.901521i | \(0.642451\pi\) | |||||||
\(284\) | −17966.0 | − | 66550.0i | −0.222749 | − | 0.825110i | ||||
\(285\) | 2233.11 | − | 64494.1i | 0.0274929 | − | 0.794018i | ||||
\(286\) | 1451.52 | + | 10946.0i | 0.0177456 | + | 0.133820i | ||||
\(287\) | 31435.5i | 0.381642i | ||||||||
\(288\) | 74424.0 | + | 36616.7i | 0.897280 | + | 0.441462i | ||||
\(289\) | −2941.65 | −0.0352205 | ||||||||
\(290\) | 106240. | − | 14088.2i | 1.26326 | − | 0.167518i | ||||
\(291\) | −24678.0 | − | 46379.5i | −0.291423 | − | 0.547697i | ||||
\(292\) | 46507.1 | − | 12555.2i | 0.545448 | − | 0.147250i | ||||
\(293\) | 44759.6 | + | 77525.8i | 0.521375 | + | 0.903049i | 0.999691 | + | 0.0248607i | \(0.00791423\pi\) |
−0.478315 | + | 0.878188i | \(0.658752\pi\) | |||||||
\(294\) | 241407. | − | 23545.6i | 2.79290 | − | 0.272405i | ||||
\(295\) | −28309.5 | − | 16344.5i | −0.325303 | − | 0.187814i | ||||
\(296\) | 18819.1 | − | 7857.31i | 0.214791 | − | 0.0896789i | ||||
\(297\) | 12906.2 | + | 9359.45i | 0.146314 | + | 0.106105i | ||||
\(298\) | 72861.5 | + | 94770.6i | 0.820475 | + | 1.06719i | ||||
\(299\) | 25047.1 | + | 14461.0i | 0.280166 | + | 0.161754i | ||||
\(300\) | 13231.5 | + | 14127.4i | 0.147017 | + | 0.156971i | ||||
\(301\) | −9897.95 | − | 17143.8i | −0.109248 | − | 0.189223i | ||||
\(302\) | 22044.9 | + | 9107.08i | 0.241710 | + | 0.0998540i | ||||
\(303\) | 23247.5 | + | 43691.1i | 0.253216 | + | 0.475891i | ||||
\(304\) | 41706.5 | + | 71615.4i | 0.451291 | + | 0.774925i | ||||
\(305\) | 41471.1 | 0.445806 | ||||||||
\(306\) | −50880.1 | − | 76616.6i | −0.543382 | − | 0.818239i | ||||
\(307\) | 62726.9i | 0.665545i | 0.943007 | + | 0.332772i | \(0.107984\pi\) | ||||
−0.943007 | + | 0.332772i | \(0.892016\pi\) | |||||||
\(308\) | −23697.0 | − | 23608.2i | −0.249799 | − | 0.248863i | ||||
\(309\) | −5585.11 | + | 161303.i | −0.0584944 | + | 1.68937i | ||||
\(310\) | 67941.5 | + | 28067.6i | 0.706988 | + | 0.292067i | ||||
\(311\) | −106333. | + | 61391.4i | −1.09938 | + | 0.634726i | −0.936058 | − | 0.351847i | \(-0.885554\pi\) |
−0.163321 | + | 0.986573i | \(0.552221\pi\) | |||||||
\(312\) | −68021.6 | + | 25673.8i | −0.698775 | + | 0.263743i | ||||
\(313\) | 24294.6 | − | 42079.4i | 0.247982 | − | 0.429518i | −0.714984 | − | 0.699141i | \(-0.753566\pi\) |
0.962966 | + | 0.269623i | \(0.0868992\pi\) | |||||||
\(314\) | −85299.2 | − | 110948.i | −0.865138 | − | 1.12528i | ||||
\(315\) | −154105. | + | 75274.6i | −1.55308 | + | 0.758625i | ||||
\(316\) | −111206. | − | 29573.8i | −1.11366 | − | 0.296164i | ||||
\(317\) | 55066.7 | − | 95378.4i | 0.547988 | − | 0.949143i | −0.450425 | − | 0.892815i | \(-0.648727\pi\) |
0.998412 | − | 0.0563282i | \(-0.0179393\pi\) | |||||||
\(318\) | −42198.1 | + | 92899.0i | −0.417291 | + | 0.918665i | ||||
\(319\) | −22909.9 | + | 13227.0i | −0.225134 | + | 0.129981i | ||||
\(320\) | 87762.3 | + | 22986.8i | 0.857054 | + | 0.224481i | ||||
\(321\) | −66530.2 | − | 41545.4i | −0.645667 | − | 0.403193i | ||||
\(322\) | −86855.5 | + | 11517.7i | −0.837694 | + | 0.111085i | ||||
\(323\) | − | 91895.4i | − | 0.880823i | ||||||
\(324\) | −40721.6 | + | 96755.9i | −0.387913 | + | 0.921696i | ||||
\(325\) | −16966.7 | −0.160632 | ||||||||
\(326\) | −7629.65 | − | 57535.6i | −0.0717909 | − | 0.541379i | ||||
\(327\) | 57977.0 | − | 92843.6i | 0.542201 | − | 0.868273i | ||||
\(328\) | 16732.6 | + | 12764.7i | 0.155530 | + | 0.118648i | ||||
\(329\) | −58637.6 | − | 101563.i | −0.541732 | − | 0.938308i | ||||
\(330\) | 15876.7 | + | 7211.78i | 0.145791 | + | 0.0662238i | ||||
\(331\) | 159800. | + | 92260.3i | 1.45854 | + | 0.842091i | 0.998940 | − | 0.0460325i | \(-0.0146578\pi\) |
0.459605 | + | 0.888124i | \(0.347991\pi\) | |||||||
\(332\) | −51374.0 | − | 13662.3i | −0.466087 | − | 0.123950i | ||||
\(333\) | 11328.3 | + | 23191.7i | 0.102159 | + | 0.209144i | ||||
\(334\) | 141489. | − | 108779.i | 1.26832 | − | 0.975108i | ||||
\(335\) | −4754.59 | − | 2745.06i | −0.0423665 | − | 0.0244603i | ||||
\(336\) | 115959. | − | 187256.i | 1.02713 | − | 1.65866i | ||||
\(337\) | −32813.1 | − | 56833.9i | −0.288926 | − | 0.500435i | 0.684628 | − | 0.728893i | \(-0.259965\pi\) |
−0.973554 | + | 0.228458i | \(0.926632\pi\) | |||||||
\(338\) | −19286.8 | + | 46686.3i | −0.168821 | + | 0.408655i | ||||
\(339\) | −184150. | − | 6376.20i | −1.60241 | − | 0.0554834i | ||||
\(340\) | −71266.7 | − | 70999.7i | −0.616494 | − | 0.614184i | ||||
\(341\) | −18145.5 | −0.156049 | ||||||||
\(342\) | −87376.1 | + | 58025.4i | −0.747035 | + | 0.496096i | ||||
\(343\) | − | 414560.i | − | 3.52370i | ||||||
\(344\) | −13144.5 | − | 1692.86i | −0.111078 | − | 0.0143055i | ||||
\(345\) | 40322.6 | − | 21455.2i | 0.338774 | − | 0.180258i | ||||
\(346\) | −80771.7 | + | 195519.i | −0.674695 | + | 1.63319i | ||||
\(347\) | −90819.3 | + | 52434.6i | −0.754257 | + | 0.435470i | −0.827230 | − | 0.561864i | \(-0.810085\pi\) |
0.0729731 | + | 0.997334i | \(0.476751\pi\) | |||||||
\(348\) | −119073. | − | 127135.i | −0.983228 | − | 1.04980i | ||||
\(349\) | −43672.0 | + | 75642.1i | −0.358552 | + | 0.621030i | −0.987719 | − | 0.156240i | \(-0.950063\pi\) |
0.629167 | + | 0.777270i | \(0.283396\pi\) | |||||||
\(350\) | 40748.1 | − | 31327.9i | 0.332637 | − | 0.255738i | ||||
\(351\) | −37501.5 | − | 84029.2i | −0.304393 | − | 0.682050i | ||||
\(352\) | −22188.6 | + | 3027.20i | −0.179079 | + | 0.0244318i | ||||
\(353\) | 24354.3 | − | 42182.9i | 0.195446 | − | 0.338522i | −0.751601 | − | 0.659618i | \(-0.770718\pi\) |
0.947047 | + | 0.321096i | \(0.104051\pi\) | |||||||
\(354\) | 5157.64 | + | 52880.0i | 0.0411570 | + | 0.421973i | ||||
\(355\) | 82640.1 | − | 47712.3i | 0.655744 | − | 0.378594i | ||||
\(356\) | −23940.6 | + | 6463.06i | −0.188901 | + | 0.0509962i | ||||
\(357\) | −215606. | + | 114721.i | −1.69170 | + | 0.900135i | ||||
\(358\) | −17268.6 | − | 130223.i | −0.134738 | − | 1.01607i | ||||
\(359\) | 109409.i | 0.848911i | 0.905449 | + | 0.424456i | \(0.139535\pi\) | ||||
−0.905449 | + | 0.424456i | \(0.860465\pi\) | |||||||
\(360\) | −22508.2 | + | 112593.i | −0.173674 | + | 0.868775i | ||||
\(361\) | 25520.5 | 0.195828 | ||||||||
\(362\) | 90244.4 | − | 11967.1i | 0.688657 | − | 0.0913211i | ||||
\(363\) | 127388. | + | 4410.82i | 0.966754 | + | 0.0334739i | ||||
\(364\) | 50318.9 | + | 186392.i | 0.379777 | + | 1.40678i | ||||
\(365\) | 33342.7 | + | 57751.3i | 0.250274 | + | 0.433487i | ||||
\(366\) | −39210.0 | − | 54827.1i | −0.292708 | − | 0.409292i | ||||
\(367\) | −1112.82 | − | 642.487i | −0.00826215 | − | 0.00477015i | 0.495863 | − | 0.868401i | \(-0.334852\pi\) |
−0.504125 | + | 0.863630i | \(0.668185\pi\) | |||||||
\(368\) | −29137.8 | + | 50908.6i | −0.215160 | + | 0.375920i | ||||
\(369\) | −14881.5 | + | 22090.9i | −0.109293 | + | 0.162241i | ||||
\(370\) | 17207.1 | + | 22381.2i | 0.125691 | + | 0.163486i | ||||
\(371\) | 234645. | + | 135473.i | 1.70476 | + | 0.984246i | ||||
\(372\) | −27130.2 | − | 116360.i | −0.196050 | − | 0.840847i | ||||
\(373\) | 36777.2 | + | 63699.9i | 0.264339 | + | 0.457848i | 0.967390 | − | 0.253291i | \(-0.0815130\pi\) |
−0.703052 | + | 0.711139i | \(0.748180\pi\) | |||||||
\(374\) | 22950.4 | + | 9481.14i | 0.164077 | + | 0.0677825i | ||||
\(375\) | −80183.2 | + | 128404.i | −0.570192 | + | 0.913098i | ||||
\(376\) | −77870.8 | − | 10028.9i | −0.550807 | − | 0.0709376i | ||||
\(377\) | 152687. | 1.07428 | ||||||||
\(378\) | 245219. | + | 132564.i | 1.71621 | + | 0.927776i | ||||
\(379\) | 139070.i | 0.968176i | 0.875019 | + | 0.484088i | \(0.160848\pi\) | ||||
−0.875019 | + | 0.484088i | \(0.839152\pi\) | |||||||
\(380\) | −80970.4 | + | 81275.0i | −0.560737 | + | 0.562846i | ||||
\(381\) | 62066.3 | + | 38757.9i | 0.427569 | + | 0.266999i | ||||
\(382\) | 212587. | + | 87822.8i | 1.45683 | + | 0.601839i | ||||
\(383\) | 90000.3 | − | 51961.7i | 0.613545 | − | 0.354230i | −0.160807 | − | 0.986986i | \(-0.551410\pi\) |
0.774352 | + | 0.632756i | \(0.218076\pi\) | |||||||
\(384\) | −52587.3 | − | 137760.i | −0.356631 | − | 0.934245i | ||||
\(385\) | 23152.6 | − | 40101.5i | 0.156199 | − | 0.270545i | ||||
\(386\) | −109569. | − | 142515.i | −0.735380 | − | 0.956505i | ||||
\(387\) | 1160.17 | − | 16733.2i | 0.00774638 | − | 0.111727i | ||||
\(388\) | −24003.7 | + | 90260.7i | −0.159447 | + | 0.599563i | ||||
\(389\) | 50040.9 | − | 86673.4i | 0.330694 | − | 0.572778i | −0.651954 | − | 0.758258i | \(-0.726051\pi\) |
0.982648 | + | 0.185480i | \(0.0593839\pi\) | |||||||
\(390\) | −58547.4 | − | 81866.5i | −0.384927 | − | 0.538241i | ||||
\(391\) | 56328.2 | − | 32521.1i | 0.368444 | − | 0.212721i | ||||
\(392\) | −342836. | − | 261537.i | −2.23108 | − | 1.70200i | ||||
\(393\) | −5068.84 | + | 146393.i | −0.0328189 | + | 0.947838i | ||||
\(394\) | 176514. | − | 23407.1i | 1.13707 | − | 0.150784i | ||||
\(395\) | − | 159295.i | − | 1.02096i | ||||||
\(396\) | −5476.68 | − | 27808.4i | −0.0349242 | − | 0.177332i | ||||
\(397\) | 164388. | 1.04301 | 0.521507 | − | 0.853247i | \(-0.325370\pi\) | ||||
0.521507 | + | 0.853247i | \(0.325370\pi\) | |||||||
\(398\) | −10025.9 | − | 75605.6i | −0.0632931 | − | 0.477296i | ||||
\(399\) | 130832. | + | 245884.i | 0.821804 | + | 1.54449i | ||||
\(400\) | −129.207 | − | 34410.5i | −0.000807546 | − | 0.215066i | ||||
\(401\) | 78226.6 | + | 135492.i | 0.486481 | + | 0.842609i | 0.999879 | − | 0.0155412i | \(-0.00494711\pi\) |
−0.513399 | + | 0.858150i | \(0.671614\pi\) | |||||||
\(402\) | 866.227 | + | 8881.21i | 0.00536018 | + | 0.0549567i | ||||
\(403\) | 90700.6 | + | 52366.0i | 0.558470 | + | 0.322433i | ||||
\(404\) | 22612.3 | − | 85028.6i | 0.138542 | − | 0.520958i | ||||
\(405\) | −143930. | − | 20054.6i | −0.877487 | − | 0.122266i | ||||
\(406\) | −366699. | + | 281926.i | −2.22463 | + | 1.71034i | ||||
\(407\) | −6035.02 | − | 3484.32i | −0.0364325 | − | 0.0210343i | ||||
\(408\) | −26484.4 | + | 161347.i | −0.159100 | + | 0.969261i | ||||
\(409\) | −135351. | − | 234435.i | −0.809125 | − | 1.40145i | −0.913471 | − | 0.406904i | \(-0.866608\pi\) |
0.104346 | − | 0.994541i | \(-0.466725\pi\) | |||||||
\(410\) | −11123.7 | + | 26926.6i | −0.0661734 | + | 0.160182i | ||||
\(411\) | −104264. | − | 195953.i | −0.617238 | − | 1.16003i | ||||
\(412\) | 202510. | − | 203272.i | 1.19303 | − | 1.19752i | ||||
\(413\) | 141086. | 0.827149 | ||||||||
\(414\) | −66489.0 | − | 33023.3i | −0.387926 | − | 0.192673i | ||||
\(415\) | − | 73589.9i | − | 0.427290i | ||||||
\(416\) | 119646. | + | 48902.4i | 0.691372 | + | 0.282581i | ||||
\(417\) | −6141.59 | + | 177374.i | −0.0353190 | + | 1.02004i | ||||
\(418\) | 10812.6 | − | 26173.4i | 0.0618839 | − | 0.149799i | ||||
\(419\) | 49366.2 | − | 28501.6i | 0.281191 | − | 0.162346i | −0.352771 | − | 0.935710i | \(-0.614761\pi\) |
0.633963 | + | 0.773364i | \(0.281427\pi\) | |||||||
\(420\) | 291771. | + | 88510.5i | 1.65403 | + | 0.501760i | ||||
\(421\) | −116812. | + | 202325.i | −0.659059 | + | 1.14152i | 0.321801 | + | 0.946807i | \(0.395712\pi\) |
−0.980860 | + | 0.194716i | \(0.937621\pi\) | |||||||
\(422\) | −3021.82 | + | 2323.24i | −0.0169685 | + | 0.0130457i | ||||
\(423\) | 6873.08 | − | 99131.3i | 0.0384123 | − | 0.554026i | ||||
\(424\) | 167390. | − | 69888.0i | 0.931101 | − | 0.388750i | ||||
\(425\) | −19078.1 | + | 33044.3i | −0.105623 | + | 0.182944i | ||||
\(426\) | −141213. | − | 64143.9i | −0.778133 | − | 0.353457i | ||||
\(427\) | −155010. | + | 89495.0i | −0.850166 | + | 0.490843i | ||||
\(428\) | 36343.2 | + | 134623.i | 0.198397 | + | 0.734908i | ||||
\(429\) | 21072.8 | + | 13159.1i | 0.114500 | + | 0.0715008i | ||||
\(430\) | −2411.77 | − | 18187.2i | −0.0130436 | − | 0.0983626i | ||||
\(431\) | 333180.i | 1.79360i | 0.442439 | + | 0.896798i | \(0.354113\pi\) | ||||
−0.442439 | + | 0.896798i | \(0.645887\pi\) | |||||||
\(432\) | 170135. | − | 76697.3i | 0.911648 | − | 0.410972i | ||||
\(433\) | −215343. | −1.14856 | −0.574282 | − | 0.818657i | \(-0.694719\pi\) | ||||
−0.574282 | + | 0.818657i | \(0.694719\pi\) | |||||||
\(434\) | −314521. | + | 41707.8i | −1.66982 | + | 0.221431i | ||||
\(435\) | 127720. | − | 204530.i | 0.674966 | − | 1.08088i | ||||
\(436\) | −187868. | + | 50717.3i | −0.988280 | + | 0.266799i | ||||
\(437\) | −37088.1 | − | 64238.5i | −0.194210 | − | 0.336382i | ||||
\(438\) | 44825.6 | − | 98683.3i | 0.233656 | − | 0.514394i | ||||
\(439\) | 27053.2 | + | 15619.2i | 0.140375 | + | 0.0810455i | 0.568543 | − | 0.822654i | \(-0.307507\pi\) |
−0.428168 | + | 0.903699i | \(0.640841\pi\) | |||||||
\(440\) | −11944.0 | − | 28607.3i | −0.0616944 | − | 0.147765i | ||||
\(441\) | 304909. | − | 452623.i | 1.56781 | − | 2.32734i | ||||
\(442\) | −87356.3 | − | 113624.i | −0.447146 | − | 0.581601i | ||||
\(443\) | −184829. | − | 106711.i | −0.941809 | − | 0.543754i | −0.0512822 | − | 0.998684i | \(-0.516331\pi\) |
−0.890527 | + | 0.454930i | \(0.849664\pi\) | |||||||
\(444\) | 13320.3 | − | 43909.6i | 0.0675689 | − | 0.222738i | ||||
\(445\) | −17163.9 | − | 29728.8i | −0.0866755 | − | 0.150126i | ||||
\(446\) | 160234. | + | 66195.0i | 0.805536 | + | 0.332779i | ||||
\(447\) | 268808. | + | 9307.48i | 1.34533 | + | 0.0465819i | ||||
\(448\) | −377642. | + | 103472.i | −1.88159 | + | 0.515546i | ||||
\(449\) | −393053. | −1.94966 | −0.974828 | − | 0.222956i | \(-0.928429\pi\) | ||||
−0.974828 | + | 0.222956i | \(0.928429\pi\) | |||||||
\(450\) | 43465.8 | − | 2725.22i | 0.214646 | − | 0.0134579i | ||||
\(451\) | − | 7191.43i | − | 0.0353559i | ||||||
\(452\) | 232065. | + | 231195.i | 1.13588 | + | 1.13162i | ||||
\(453\) | 47377.7 | − | 25209.1i | 0.230876 | − | 0.122846i | ||||
\(454\) | 22209.5 | + | 9175.06i | 0.107752 | + | 0.0445141i | ||||
\(455\) | −231457. | + | 133632.i | −1.11802 | + | 0.645487i | ||||
\(456\) | 184006. | + | 30203.7i | 0.884914 | + | 0.145255i | ||||
\(457\) | 36178.7 | − | 62663.4i | 0.173229 | − | 0.300042i | −0.766318 | − | 0.642462i | \(-0.777913\pi\) |
0.939547 | + | 0.342420i | \(0.111247\pi\) | |||||||
\(458\) | −9938.23 | − | 12926.6i | −0.0473782 | − | 0.0616246i | ||||
\(459\) | −205823. | − | 21448.5i | −0.976942 | − | 0.101805i | ||||
\(460\) | −78473.1 | − | 20869.0i | −0.370856 | − | 0.0986246i | ||||
\(461\) | −29095.9 | + | 50395.5i | −0.136908 | + | 0.237132i | −0.926325 | − | 0.376726i | \(-0.877050\pi\) |
0.789417 | + | 0.613858i | \(0.210383\pi\) | |||||||
\(462\) | −74906.7 | + | 7306.00i | −0.350943 | + | 0.0342291i | ||||
\(463\) | −64721.6 | + | 37367.0i | −0.301917 | + | 0.174312i | −0.643304 | − | 0.765611i | \(-0.722437\pi\) |
0.341387 | + | 0.939923i | \(0.389103\pi\) | |||||||
\(464\) | 1162.76 | + | 309666.i | 0.00540075 | + | 1.43833i | ||||
\(465\) | 146016. | − | 77693.4i | 0.675297 | − | 0.359318i | ||||
\(466\) | 148411. | − | 19680.5i | 0.683431 | − | 0.0906282i | ||||
\(467\) | − | 264366.i | − | 1.21219i | −0.795392 | − | 0.606096i | \(-0.792735\pi\) | ||
0.795392 | − | 0.606096i | \(-0.207265\pi\) | |||||||
\(468\) | −52876.8 | + | 154806.i | −0.241420 | + | 0.706798i | ||||
\(469\) | 23695.5 | 0.107726 | ||||||||
\(470\) | −14287.8 | − | 107745.i | −0.0646801 | − | 0.487756i | ||||
\(471\) | −314694. | − | 10896.3i | −1.41856 | − | 0.0491176i | ||||
\(472\) | 57289.3 | − | 75097.8i | 0.257152 | − | 0.337088i | ||||
\(473\) | 2264.33 | + | 3921.94i | 0.0101209 | + | 0.0175299i | ||||
\(474\) | −210596. | + | 150609.i | −0.937334 | + | 0.670341i | ||||
\(475\) | 37684.8 | + | 21757.3i | 0.167024 | + | 0.0964314i | ||||
\(476\) | 419597. | + | 111587.i | 1.85191 | + | 0.492492i | ||||
\(477\) | 100761. | + | 206282.i | 0.442851 | + | 0.906620i | ||||
\(478\) | 81334.9 | − | 62531.9i | 0.355976 | − | 0.273682i | ||||
\(479\) | −242211. | − | 139840.i | −1.05566 | − | 0.609483i | −0.131429 | − | 0.991326i | \(-0.541956\pi\) |
−0.924228 | + | 0.381842i | \(0.875290\pi\) | |||||||
\(480\) | 165589. | − | 119364.i | 0.718702 | − | 0.518074i | ||||
\(481\) | 20110.7 | + | 34832.8i | 0.0869236 | + | 0.150556i | ||||
\(482\) | 116991. | − | 283193.i | 0.503568 | − | 1.21896i | ||||
\(483\) | −104417. | + | 167211.i | −0.447584 | + | 0.716756i | ||||
\(484\) | −160534. | − | 159932.i | −0.685291 | − | 0.682723i | ||||
\(485\) | −129293. | −0.549655 | ||||||||
\(486\) | 109569. | + | 209244.i | 0.463890 | + | 0.885893i | ||||
\(487\) | 62506.3i | 0.263552i | 0.991280 | + | 0.131776i | \(0.0420679\pi\) | ||||
−0.991280 | + | 0.131776i | \(0.957932\pi\) | |||||||
\(488\) | −15306.5 | + | 118849.i | −0.0642739 | + | 0.499065i | ||||
\(489\) | −110766. | − | 69168.5i | −0.463220 | − | 0.289262i | ||||
\(490\) | 227916. | − | 551702.i | 0.949254 | − | 2.29780i | ||||
\(491\) | 291742. | − | 168437.i | 1.21014 | − | 0.698674i | 0.247350 | − | 0.968926i | \(-0.420440\pi\) |
0.962790 | + | 0.270252i | \(0.0871070\pi\) | |||||||
\(492\) | 46115.6 | − | 10752.2i | 0.190510 | − | 0.0444189i | ||||
\(493\) | 171688. | − | 297372.i | 0.706391 | − | 1.22351i | ||||
\(494\) | −129580. | + | 99624.0i | −0.530989 | + | 0.408235i | ||||
\(495\) | 35254.2 | − | 17220.4i | 0.143880 | − | 0.0702802i | ||||
\(496\) | −105514. | + | 184350.i | −0.428889 | + | 0.749342i | ||||
\(497\) | −205927. | + | 356676.i | −0.833682 | + | 1.44398i | ||||
\(498\) | −97289.9 | + | 69577.6i | −0.392292 | + | 0.280550i | ||||
\(499\) | −276635. | + | 159715.i | −1.11098 | + | 0.641424i | −0.939083 | − | 0.343691i | \(-0.888323\pi\) |
−0.171896 | + | 0.985115i | \(0.554989\pi\) | |||||||
\(500\) | 259825. | − | 70143.0i | 1.03930 | − | 0.280572i | ||||
\(501\) | 13895.7 | − | 401319.i | 0.0553611 | − | 1.59888i | ||||
\(502\) | 35042.5 | + | 264257.i | 0.139055 | + | 1.04862i | ||||
\(503\) | − | 28287.7i | − | 0.111805i | −0.998436 | − | 0.0559025i | \(-0.982196\pi\) | ||
0.998436 | − | 0.0559025i | \(-0.0178036\pi\) | |||||||
\(504\) | −158847. | − | 469422.i | −0.625341 | − | 1.84800i | ||||
\(505\) | 121798. | 0.477592 | ||||||||
\(506\) | 19869.7 | − | 2634.88i | 0.0776053 | − | 0.0102910i | ||||
\(507\) | 53387.4 | + | 100336.i | 0.207693 | + | 0.390336i | ||||
\(508\) | −33904.8 | − | 125591.i | −0.131381 | − | 0.486665i | ||||
\(509\) | −47278.6 | − | 81888.9i | −0.182486 | − | 0.316074i | 0.760241 | − | 0.649641i | \(-0.225081\pi\) |
−0.942726 | + | 0.333567i | \(0.891748\pi\) | |||||||
\(510\) | −225276. | + | 21972.2i | −0.866113 | + | 0.0844761i | ||||
\(511\) | −249255. | − | 143908.i | −0.954559 | − | 0.551115i | ||||
\(512\) | −98268.5 | + | 243028.i | −0.374865 | + | 0.927080i | ||||
\(513\) | −24460.5 | + | 234727.i | −0.0929462 | + | 0.891927i | ||||
\(514\) | 144883. | + | 188449.i | 0.548392 | + | 0.713291i | ||||
\(515\) | 343990. | + | 198603.i | 1.29698 | + | 0.748809i | ||||
\(516\) | −21764.3 | + | 20384.1i | −0.0817419 | + | 0.0765583i | ||||
\(517\) | 13414.4 | + | 23234.4i | 0.0501869 | + | 0.0869263i | ||||
\(518\) | −112615. | − | 46522.9i | −0.419698 | − | 0.173383i | ||||
\(519\) | 223583. | + | 420199.i | 0.830049 | + | 1.55998i | ||||
\(520\) | −22855.2 | + | 177463.i | −0.0845238 | + | 0.656299i | ||||
\(521\) | 369932. | 1.36285 | 0.681423 | − | 0.731890i | \(-0.261362\pi\) | ||||
0.681423 | + | 0.731890i | \(0.261362\pi\) | |||||||
\(522\) | −391156. | + | 24524.7i | −1.43552 | + | 0.0900043i | ||||
\(523\) | − | 65267.4i | − | 0.238612i | −0.992858 | − | 0.119306i | \(-0.961933\pi\) | ||
0.992858 | − | 0.119306i | \(-0.0380670\pi\) | |||||||
\(524\) | 183791. | − | 184483.i | 0.669364 | − | 0.671882i | ||||
\(525\) | 4001.90 | − | 115578.i | 0.0145193 | − | 0.419331i | ||||
\(526\) | −92942.5 | − | 38395.9i | −0.335925 | − | 0.138776i | ||||
\(527\) | 203975. | − | 117765.i | 0.734440 | − | 0.424029i | ||||
\(528\) | −26527.7 | + | 42838.2i | −0.0951549 | + | 0.153661i | ||||
\(529\) | −113670. | + | 196882.i | −0.406195 | + | 0.703551i | ||||
\(530\) | 153051. | + | 199073.i | 0.544859 | + | 0.708696i | ||||
\(531\) | 99146.4 | + | 66789.9i | 0.351632 | + | 0.236876i | ||||
\(532\) | 127257. | − | 478523.i | 0.449634 | − | 1.69075i | ||||
\(533\) | −20753.7 | + | 35946.4i | −0.0730534 | + | 0.126532i | ||||
\(534\) | −23075.0 | + | 50799.5i | −0.0809206 | + | 0.178146i | ||||
\(535\) | −167172. | + | 96516.6i | −0.584057 | + | 0.337205i | ||||
\(536\) | 9621.76 | − | 12612.7i | 0.0334907 | − | 0.0439014i | ||||
\(537\) | −250702. | − | 156553.i | −0.869378 | − | 0.542891i | ||||
\(538\) | −10125.2 | + | 1342.68i | −0.0349815 | + | 0.00463882i | ||||
\(539\) | 147346.i | 0.507179i | ||||||||
\(540\) | 163137. | + | 200323.i | 0.559456 | + | 0.686980i | ||||
\(541\) | 176002. | 0.601343 | 0.300671 | − | 0.953728i | \(-0.402789\pi\) | ||||
0.300671 | + | 0.953728i | \(0.402789\pi\) | |||||||
\(542\) | 2430.96 | + | 18331.9i | 0.00827520 | + | 0.0624036i | ||||
\(543\) | 108491. | − | 173735.i | 0.367953 | − | 0.589235i | ||||
\(544\) | 229777. | − | 178034.i | 0.776442 | − | 0.601596i | ||||
\(545\) | −134690. | − | 233290.i | −0.453463 | − | 0.785421i | ||||
\(546\) | 395506. | + | 179653.i | 1.32668 | + | 0.602629i | ||||
\(547\) | 236509. | + | 136549.i | 0.790448 | + | 0.456365i | 0.840120 | − | 0.542400i | \(-0.182484\pi\) |
−0.0496725 | + | 0.998766i | \(0.515818\pi\) | |||||||
\(548\) | −101416. | + | 381351.i | −0.337710 | + | 1.26988i | ||||
\(549\) | −151298. | − | 10490.0i | −0.501982 | − | 0.0348040i | ||||
\(550\) | −9321.85 | + | 7166.82i | −0.0308160 | + | 0.0236920i | ||||
\(551\) | −339133. | − | 195798.i | −1.11703 | − | 0.644920i | ||||
\(552\) | 46604.5 | + | 123477.i | 0.152950 | + | 0.405235i | ||||
\(553\) | 343760. | + | 595409.i | 1.12410 | + | 1.94700i | ||||
\(554\) | −15050.2 | + | 36431.2i | −0.0490370 | + | 0.118701i | ||||
\(555\) | 63482.2 | + | 2198.07i | 0.206094 | + | 0.00713601i | ||||
\(556\) | 222688. | − | 223526.i | 0.720356 | − | 0.723066i | ||||
\(557\) | −454335. | −1.46442 | −0.732211 | − | 0.681078i | \(-0.761511\pi\) | ||||
−0.732211 | + | 0.681078i | \(0.761511\pi\) | |||||||
\(558\) | −240770. | − | 119584.i | −0.773274 | − | 0.384065i | ||||
\(559\) | − | 26138.5i | − | 0.0836482i | ||||||
\(560\) | −272783. | − | 468404.i | −0.869845 | − | 1.49364i | ||||
\(561\) | 49323.7 | − | 26244.6i | 0.156722 | − | 0.0833899i | ||||
\(562\) | −73945.8 | + | 178996.i | −0.234121 | + | 0.566723i | ||||
\(563\) | 27753.2 | − | 16023.3i | 0.0875582 | − | 0.0505518i | −0.455582 | − | 0.890194i | \(-0.650569\pi\) |
0.543140 | + | 0.839642i | \(0.317235\pi\) | |||||||
\(564\) | −128936. | + | 120760.i | −0.405338 | + | 0.379633i | ||||
\(565\) | −226734. | + | 392714.i | −0.710263 | + | 1.23021i | ||||
\(566\) | 419318. | − | 322380.i | 1.30891 | − | 1.00632i | ||||
\(567\) | 581256. | − | 235642.i | 1.80801 | − | 0.732971i | ||||
\(568\) | 106234. | + | 254443.i | 0.329282 | + | 0.788667i | ||||
\(569\) | 138564. | − | 240000.i | 0.427982 | − | 0.741287i | −0.568712 | − | 0.822537i | \(-0.692558\pi\) |
0.996694 | + | 0.0812502i | \(0.0258913\pi\) | |||||||
\(570\) | 25057.9 | + | 256912.i | 0.0771248 | + | 0.790742i | ||||
\(571\) | 556449. | − | 321266.i | 1.70668 | − | 0.985355i | 0.768085 | − | 0.640348i | \(-0.221210\pi\) |
0.938600 | − | 0.345007i | \(-0.112123\pi\) | |||||||
\(572\) | −11511.4 | − | 42640.6i | −0.0351831 | − | 0.130326i | ||||
\(573\) | 456880. | − | 243101.i | 1.39153 | − | 0.740418i | ||||
\(574\) | −16529.6 | − | 124651.i | −0.0501694 | − | 0.378330i | ||||
\(575\) | 30799.0i | 0.0931540i | ||||||||
\(576\) | −314366. | − | 106061.i | −0.947526 | − | 0.319678i | ||||
\(577\) | 451002. | 1.35465 | 0.677324 | − | 0.735685i | \(-0.263140\pi\) | ||||
0.677324 | + | 0.735685i | \(0.263140\pi\) | |||||||
\(578\) | 11664.5 | − | 1546.80i | 0.0349148 | − | 0.00462997i | ||||
\(579\) | −404232. | − | 13996.5i | −1.20580 | − | 0.0417507i | ||||
\(580\) | −413864. | + | 111728.i | −1.23027 | + | 0.332128i | ||||
\(581\) | 158808. | + | 275063.i | 0.470456 | + | 0.814854i | ||||
\(582\) | 122243. | + | 170932.i | 0.360893 | + | 0.504635i | ||||
\(583\) | −53679.3 | − | 30991.8i | −0.157932 | − | 0.0911820i | ||||
\(584\) | −177812. | + | 74239.5i | −0.521357 | + | 0.217675i | ||||
\(585\) | −225915. | − | 15663.4i | −0.660135 | − | 0.0457692i | ||||
\(586\) | −218250. | − | 283876.i | −0.635563 | − | 0.826674i | ||||
\(587\) | −327761. | − | 189233.i | −0.951221 | − | 0.549188i | −0.0577610 | − | 0.998330i | \(-0.518396\pi\) |
−0.893460 | + | 0.449143i | \(0.851729\pi\) | |||||||
\(588\) | −944869. | + | 220304.i | −2.73286 | + | 0.637187i | ||||
\(589\) | −134303. | − | 232620.i | −0.387129 | − | 0.670528i | ||||
\(590\) | 120850. | + | 49924.6i | 0.347169 | + | 0.143420i | ||||
\(591\) | 212202. | − | 339818.i | 0.607541 | − | 0.972908i | ||||
\(592\) | −70491.8 | + | 41052.1i | −0.201138 | + | 0.117136i | ||||
\(593\) | 137966. | 0.392339 | 0.196170 | − | 0.980570i | \(-0.437150\pi\) | ||||
0.196170 | + | 0.980570i | \(0.437150\pi\) | |||||||
\(594\) | −56098.3 | − | 30326.5i | −0.158993 | − | 0.0859506i | ||||
\(595\) | 601046.i | 1.69775i | ||||||||
\(596\) | −338750. | − | 337480.i | −0.953644 | − | 0.950070i | ||||
\(597\) | −145553. | − | 90892.1i | −0.408389 | − | 0.255022i | ||||
\(598\) | −106923. | − | 44171.4i | −0.298998 | − | 0.123521i | ||||
\(599\) | −180870. | + | 104426.i | −0.504096 | + | 0.291040i | −0.730404 | − | 0.683016i | \(-0.760668\pi\) |
0.226307 | + | 0.974056i | \(0.427335\pi\) | |||||||
\(600\) | −59895.4 | − | 49061.7i | −0.166376 | − | 0.136283i | ||||
\(601\) | −180004. | + | 311775.i | −0.498348 | + | 0.863163i | −0.999998 | − | 0.00190701i | \(-0.999393\pi\) |
0.501651 | + | 0.865070i | \(0.332726\pi\) | |||||||
\(602\) | 48262.9 | + | 62775.3i | 0.133174 | + | 0.173219i | ||||
\(603\) | 16651.7 | + | 11217.4i | 0.0457956 | + | 0.0308501i | ||||
\(604\) | −92203.3 | − | 24520.4i | −0.252739 | − | 0.0672130i | ||||
\(605\) | 156846. | − | 271665.i | 0.428512 | − | 0.742204i | ||||
\(606\) | −115157. | − | 161024.i | −0.313578 | − | 0.438474i | ||||
\(607\) | 279709. | − | 161490.i | 0.759152 | − | 0.438297i | −0.0698392 | − | 0.997558i | \(-0.522249\pi\) |
0.828991 | + | 0.559262i | \(0.188915\pi\) | |||||||
\(608\) | −203036. | − | 262045.i | −0.549244 | − | 0.708875i | ||||
\(609\) | −36013.8 | + | 1.04011e6i | −0.0971034 | + | 2.80443i | ||||
\(610\) | −164445. | + | 21806.6i | −0.441937 | + | 0.0586042i | ||||
\(611\) | − | 154850.i | − | 0.414791i | ||||||
\(612\) | 242042. | + | 277053.i | 0.646230 | + | 0.739707i | ||||
\(613\) | −392554. | −1.04467 | −0.522334 | − | 0.852741i | \(-0.674939\pi\) | ||||
−0.522334 | + | 0.852741i | \(0.674939\pi\) | |||||||
\(614\) | −32983.5 | − | 248730.i | −0.0874904 | − | 0.659769i | ||||
\(615\) | 30791.4 | + | 57869.0i | 0.0814103 | + | 0.153002i | ||||
\(616\) | 106379. | + | 81152.6i | 0.280346 | + | 0.213866i | ||||
\(617\) | −192102. | − | 332730.i | −0.504616 | − | 0.874020i | −0.999986 | − | 0.00533786i | \(-0.998301\pi\) |
0.495370 | − | 0.868682i | \(-0.335032\pi\) | |||||||
\(618\) | −62670.8 | − | 642548.i | −0.164092 | − | 1.68240i | ||||
\(619\) | −602573. | − | 347896.i | −1.57264 | − | 0.907962i | −0.995844 | − | 0.0910712i | \(-0.970971\pi\) |
−0.576792 | − | 0.816891i | \(-0.695696\pi\) | |||||||
\(620\) | −284166. | − | 75570.6i | −0.739247 | − | 0.196594i | ||||
\(621\) | −152535. | + | 68074.9i | −0.395536 | + | 0.176524i | ||||
\(622\) | 389360. | − | 299347.i | 1.00640 | − | 0.773739i | ||||
\(623\) | 128310. | + | 74079.7i | 0.330586 | + | 0.190864i | ||||
\(624\) | 256225. | − | 137571.i | 0.658041 | − | 0.353313i | ||||
\(625\) | 144273. | + | 249889.i | 0.369339 | + | 0.639715i | ||||
\(626\) | −74208.4 | + | 179632.i | −0.189367 | + | 0.458389i | ||||
\(627\) | −29930.2 | − | 56250.4i | −0.0761332 | − | 0.143084i | ||||
\(628\) | 396575. | + | 395089.i | 1.00556 | + | 1.00179i | ||||
\(629\) | 90453.5 | 0.228625 | ||||||||
\(630\) | 571488. | − | 379518.i | 1.43988 | − | 0.956205i | ||||
\(631\) | 230753.i | 0.579546i | 0.957095 | + | 0.289773i | \(0.0935798\pi\) | ||||
−0.957095 | + | 0.289773i | \(0.906420\pi\) | |||||||
\(632\) | 456513. | + | 58793.7i | 1.14293 | + | 0.147196i | ||||
\(633\) | −296.775 | + | 8571.13i | −0.000740662 | + | 0.0213910i | ||||
\(634\) | −168203. | + | 407158.i | −0.418461 | + | 1.01294i | ||||
\(635\) | 155955. | − | 90040.8i | 0.386770 | − | 0.223302i | ||||
\(636\) | 118479. | − | 390560.i | 0.292905 | − | 0.965548i | ||||
\(637\) | 425225. | − | 736511.i | 1.04795 | − | 1.81510i | ||||
\(638\) | 83889.0 | − | 64495.5i | 0.206093 | − | 0.158449i | ||||
\(639\) | −313562. | + | 153164.i | −0.767931 | + | 0.375107i | ||||
\(640\) | −360090. | − | 45001.6i | −0.879126 | − | 0.109867i | ||||
\(641\) | −259471. | + | 449416.i | −0.631498 | + | 1.09379i | 0.355747 | + | 0.934582i | \(0.384226\pi\) |
−0.987246 | + | 0.159205i | \(0.949107\pi\) | |||||||
\(642\) | 285657. | + | 129756.i | 0.693067 | + | 0.314816i | ||||
\(643\) | −195039. | + | 112606.i | −0.471738 | + | 0.272358i | −0.716967 | − | 0.697107i | \(-0.754470\pi\) |
0.245229 | + | 0.969465i | \(0.421137\pi\) | |||||||
\(644\) | 338351. | − | 91341.9i | 0.815821 | − | 0.220241i | ||||
\(645\) | −35013.5 | − | 21864.5i | −0.0841620 | − | 0.0525557i | ||||
\(646\) | 48321.1 | + | 364392.i | 0.115790 | + | 0.873179i | ||||
\(647\) | − | 153505.i | − | 0.366703i | −0.983047 | − | 0.183352i | \(-0.941305\pi\) | ||
0.983047 | − | 0.183352i | \(-0.0586947\pi\) | |||||||
\(648\) | 110596. | − | 405078.i | 0.263384 | − | 0.964691i | ||||
\(649\) | −32276.0 | −0.0766284 | ||||||||
\(650\) | 67278.0 | − | 8921.58i | 0.159238 | − | 0.0211162i | ||||
\(651\) | −378113. | + | 605505.i | −0.892194 | + | 1.42875i | ||||
\(652\) | 60507.5 | + | 224133.i | 0.142336 | + | 0.527243i | ||||
\(653\) | −36120.4 | − | 62562.3i | −0.0847082 | − | 0.146719i | 0.820559 | − | 0.571562i | \(-0.193662\pi\) |
−0.905267 | + | 0.424843i | \(0.860329\pi\) | |||||||
\(654\) | −181076. | + | 398637.i | −0.423355 | + | 0.932014i | ||||
\(655\) | 312193. | + | 180245.i | 0.727681 | + | 0.420127i | ||||
\(656\) | −73061.5 | − | 41817.1i | −0.169778 | − | 0.0971731i | ||||
\(657\) | −107035. | − | 219126.i | −0.247968 | − | 0.507649i | ||||
\(658\) | 285920. | + | 371895.i | 0.660378 | + | 0.858950i | ||||
\(659\) | 203157. | + | 117293.i | 0.467802 | + | 0.270086i | 0.715319 | − | 0.698798i | \(-0.246281\pi\) |
−0.247517 | + | 0.968883i | \(0.579615\pi\) | |||||||
\(660\) | −66747.8 | − | 20248.4i | −0.153232 | − | 0.0464838i | ||||
\(661\) | −298973. | − | 517837.i | −0.684274 | − | 1.18520i | −0.973665 | − | 0.227986i | \(-0.926786\pi\) |
0.289391 | − | 0.957211i | \(-0.406547\pi\) | |||||||
\(662\) | −682164. | − | 281812.i | −1.55659 | − | 0.643048i | ||||
\(663\) | −322284. | − | 11159.1i | −0.733182 | − | 0.0253864i | ||||
\(664\) | 210897. | + | 27161.1i | 0.478337 | + | 0.0616043i | ||||
\(665\) | 685452. | 1.55001 | ||||||||
\(666\) | −57114.9 | − | 86005.2i | −0.128766 | − | 0.193899i | ||||
\(667\) | − | 277166.i | − | 0.623001i | ||||||
\(668\) | −503844. | + | 505739.i | −1.12913 | + | 1.13338i | ||||
\(669\) | 344366. | − | 183233.i | 0.769428 | − | 0.409404i | ||||
\(670\) | 20296.7 | + | 8384.87i | 0.0452144 | + | 0.0186787i | ||||
\(671\) | 35461.3 | − | 20473.6i | 0.0787607 | − | 0.0454725i | ||||
\(672\) | −361346. | + | 803500.i | −0.800174 | + | 1.77929i | ||||
\(673\) | 375852. | − | 650996.i | 0.829826 | − | 1.43730i | −0.0683477 | − | 0.997662i | \(-0.521773\pi\) |
0.898174 | − | 0.439640i | \(-0.144894\pi\) | |||||||
\(674\) | 159998. | + | 208109.i | 0.352204 | + | 0.458111i | ||||
\(675\) | 57526.8 | − | 79326.6i | 0.126259 | − | 0.174105i | ||||
\(676\) | 51928.7 | − | 195266.i | 0.113636 | − | 0.427301i | ||||
\(677\) | 42323.8 | − | 73307.0i | 0.0923437 | − | 0.159944i | −0.816153 | − | 0.577836i | \(-0.803897\pi\) |
0.908497 | + | 0.417892i | \(0.137231\pi\) | |||||||
\(678\) | 733561. | − | 71547.7i | 1.59580 | − | 0.155645i | ||||
\(679\) | 483267. | − | 279014.i | 1.04821 | − | 0.605183i | ||||
\(680\) | 319927. | + | 244060.i | 0.691883 | + | 0.527812i | ||||
\(681\) | 47731.4 | − | 25397.3i | 0.102922 | − | 0.0547638i | ||||
\(682\) | 71952.2 | − | 9541.41i | 0.154695 | − | 0.0205137i | ||||
\(683\) | 635506.i | 1.36232i | 0.732136 | + | 0.681159i | \(0.238524\pi\) | ||||
−0.732136 | + | 0.681159i | \(0.761476\pi\) | |||||||
\(684\) | 315960. | − | 276032.i | 0.675336 | − | 0.589994i | ||||
\(685\) | −546260. | −1.16418 | ||||||||
\(686\) | 217987. | + | 1.64385e6i | 0.463214 | + | 3.49312i | ||||
\(687\) | −36665.2 | − | 1269.53i | −0.0776855 | − | 0.00268986i | ||||
\(688\) | 53011.8 | − | 199.053i | 0.111994 | − | 0.000420525i | ||||
\(689\) | 178878. | + | 309825.i | 0.376806 | + | 0.652647i | ||||
\(690\) | −148609. | + | 106279.i | −0.312138 | + | 0.223228i | ||||
\(691\) | −384843. | − | 222189.i | −0.805986 | − | 0.465336i | 0.0395741 | − | 0.999217i | \(-0.487400\pi\) |
−0.845560 | + | 0.533881i | \(0.820733\pi\) | |||||||
\(692\) | 217474. | − | 817762.i | 0.454145 | − | 1.70771i | ||||
\(693\) | −94610.6 | + | 140445.i | −0.197003 | + | 0.292442i | ||||
\(694\) | 332553. | − | 255673.i | 0.690466 | − | 0.530844i | ||||
\(695\) | 378265. | + | 218391.i | 0.783116 | + | 0.452132i | ||||
\(696\) | 539009. | + | 441515.i | 1.11270 | + | 0.911438i | ||||
\(697\) | 46672.6 | + | 80839.4i | 0.0960720 | + | 0.166402i | ||||
\(698\) | 133397. | − | 322906.i | 0.273802 | − | 0.662775i | ||||
\(699\) | 178418. | − | 285716.i | 0.365161 | − | 0.584764i | ||||
\(700\) | −145105. | + | 145651.i | −0.296132 | + | 0.297246i | ||||
\(701\) | −374624. | −0.762359 | −0.381179 | − | 0.924501i | \(-0.624482\pi\) | ||||
−0.381179 | + | 0.924501i | \(0.624482\pi\) | |||||||
\(702\) | 192889. | + | 313481.i | 0.391411 | + | 0.636117i | ||||
\(703\) | − | 103156.i | − | 0.208730i | ||||||
\(704\) | 86392.4 | − | 23671.1i | 0.174313 | − | 0.0477609i | ||||
\(705\) | −207428. | − | 129530.i | −0.417338 | − | 0.260610i | ||||
\(706\) | −74390.9 | + | 180073.i | −0.149249 | + | 0.361277i | ||||
\(707\) | −455254. | + | 262841.i | −0.910783 | + | 0.525841i | ||||
\(708\) | −48257.2 | − | 206972.i | −0.0962711 | − | 0.412901i | ||||
\(709\) | −92815.5 | + | 160761.i | −0.184641 | + | 0.319808i | −0.943456 | − | 0.331499i | \(-0.892446\pi\) |
0.758814 | + | 0.651307i | \(0.225779\pi\) | |||||||
\(710\) | −302603. | + | 232647.i | −0.600284 | + | 0.461510i | ||||
\(711\) | −40293.0 | + | 581151.i | −0.0797059 | + | 1.14961i | ||||
\(712\) | 91532.8 | − | 38216.5i | 0.180558 | − | 0.0753860i | ||||
\(713\) | 95057.9 | − | 164645.i | 0.186986 | − | 0.323869i | ||||
\(714\) | 794615. | − | 568275.i | 1.55869 | − | 1.11471i | ||||
\(715\) | 52950.0 | − | 30570.7i | 0.103575 | − | 0.0597989i | ||||
\(716\) | 136950. | + | 507293.i | 0.267138 | + | 0.989539i | ||||
\(717\) | 7987.96 | − | 230699.i | 0.0155381 | − | 0.448753i | ||||
\(718\) | −57530.0 | − | 433836.i | −0.111595 | − | 0.841544i | ||||
\(719\) | 651163.i | 1.25960i | 0.776759 | + | 0.629799i | \(0.216863\pi\) | ||||
−0.776759 | + | 0.629799i | \(0.783137\pi\) | |||||||
\(720\) | 30046.7 | − | 458300.i | 0.0579604 | − | 0.884066i | ||||
\(721\) | −1.71435e6 | −3.29783 | ||||||||
\(722\) | −101196. | + | 13419.4i | −0.194129 | + | 0.0257429i | ||||
\(723\) | −323840. | − | 608621.i | −0.619519 | − | 1.16432i | ||||
\(724\) | −351552. | + | 94905.9i | −0.670676 | + | 0.181057i | ||||
\(725\) | 81298.3 | + | 140813.i | 0.154670 | + | 0.267896i | ||||
\(726\) | −507450. | + | 49494.1i | −0.962765 | + | 0.0939031i | ||||
\(727\) | −207917. | − | 120041.i | −0.393389 | − | 0.227123i | 0.290239 | − | 0.956954i | \(-0.406265\pi\) |
−0.683627 | + | 0.729831i | \(0.739599\pi\) | |||||||
\(728\) | −297539. | − | 712640.i | −0.561412 | − | 1.34465i | ||||
\(729\) | 520023. | + | 109571.i | 0.978515 | + | 0.206178i | ||||
\(730\) | −162581. | − | 211468.i | −0.305086 | − | 0.396825i | ||||
\(731\) | −50907.1 | − | 29391.2i | −0.0952673 | − | 0.0550026i | ||||
\(732\) | 184308. | + | 196787.i | 0.343972 | + | 0.367261i | ||||
\(733\) | 27840.0 | + | 48220.4i | 0.0518158 | + | 0.0897475i | 0.890770 | − | 0.454455i | \(-0.150166\pi\) |
−0.838954 | + | 0.544202i | \(0.816832\pi\) | |||||||
\(734\) | 4750.49 | + | 1962.49i | 0.00881752 | + | 0.00364264i | ||||
\(735\) | −630889. | − | 1.18569e6i | −1.16783 | − | 2.19480i | ||||
\(736\) | 88770.5 | − | 217189.i | 0.163875 | − | 0.400942i | ||||
\(737\) | −5420.76 | −0.00997988 | ||||||||
\(738\) | 47393.4 | − | 95421.7i | 0.0870173 | − | 0.175200i | ||||
\(739\) | − | 327859.i | − | 0.600341i | −0.953886 | − | 0.300170i | \(-0.902957\pi\) | ||
0.953886 | − | 0.300170i | \(-0.0970435\pi\) | |||||||
\(740\) | −79999.7 | − | 79699.9i | −0.146091 | − | 0.145544i | ||||
\(741\) | −12726.2 | + | 367543.i | −0.0231772 | + | 0.669379i | ||||
\(742\) | −1.00167e6 | − | 413805.i | −1.81936 | − | 0.751602i | ||||
\(743\) | 11150.8 | − | 6437.91i | 0.0201989 | − | 0.0116618i | −0.489867 | − | 0.871797i | \(-0.662955\pi\) |
0.510065 | + | 0.860136i | \(0.329621\pi\) | |||||||
\(744\) | 168764. | + | 447134.i | 0.304884 | + | 0.807777i | ||||
\(745\) | 330968. | − | 573254.i | 0.596312 | − | 1.03284i | ||||
\(746\) | −179327. | − | 233250.i | −0.322232 | − | 0.419126i | ||||
\(747\) | −18614.3 | + | 268476.i | −0.0333584 | + | 0.481132i | ||||
\(748\) | −95990.4 | − | 25527.5i | −0.171563 | − | 0.0456252i | ||||
\(749\) | 416567. | − | 721516.i | 0.742543 | − | 1.28612i | ||||
\(750\) | 250431. | − | 551323.i | 0.445211 | − | 0.980129i | ||||
\(751\) | −460430. | + | 265829.i | −0.816363 | + | 0.471328i | −0.849161 | − | 0.528134i | \(-0.822892\pi\) |
0.0327975 | + | 0.999462i | \(0.489558\pi\) | |||||||
\(752\) | 314054. | − | 1179.23i | 0.555352 | − | 0.00208528i | ||||
\(753\) | 508739. | + | 317687.i | 0.897233 | + | 0.560285i | ||||
\(754\) | −605447. | + | 80286.9i | −1.06496 | + | 0.141222i | ||||
\(755\) | − | 132075.i | − | 0.231701i | ||||||
\(756\) | −1.04207e6 | − | 396713.i | −1.82328 | − | 0.694117i | ||||
\(757\) | 614542. | 1.07241 | 0.536204 | − | 0.844089i | \(-0.319858\pi\) | ||||
0.536204 | + | 0.844089i | \(0.319858\pi\) | |||||||
\(758\) | −73126.6 | − | 551451.i | −0.127273 | − | 0.959774i | ||||
\(759\) | 23887.1 | − | 38252.6i | 0.0414649 | − | 0.0664014i | ||||
\(760\) | 278334. | − | 364855.i | 0.481880 | − | 0.631674i | ||||
\(761\) | 410349. | + | 710745.i | 0.708571 | + | 1.22728i | 0.965387 | + | 0.260821i | \(0.0839933\pi\) |
−0.256816 | + | 0.966460i | \(0.582673\pi\) | |||||||
\(762\) | −266491. | − | 121050.i | −0.458957 | − | 0.208475i | ||||
\(763\) | 1.00688e6 | + | 581324.i | 1.72954 | + | 0.998548i | ||||
\(764\) | −889149. | − | 236458.i | −1.52331 | − | 0.405105i | ||||
\(765\) | −284534. | + | 422377.i | −0.486196 | + | 0.721734i | ||||
\(766\) | −329554. | + | 253368.i | −0.561654 | + | 0.431811i | ||||
\(767\) | 161332. | + | 93144.9i | 0.274239 | + | 0.158332i | ||||
\(768\) | 280962. | + | 518607.i | 0.476349 | + | 0.879256i | ||||
\(769\) | 65721.6 | + | 113833.i | 0.111136 | + | 0.192494i | 0.916229 | − | 0.400656i | \(-0.131218\pi\) |
−0.805092 | + | 0.593149i | \(0.797884\pi\) | |||||||
\(770\) | −70720.3 | + | 171188.i | −0.119279 | + | 0.288730i | ||||
\(771\) | 534517. | + | 18507.7i | 0.899193 | + | 0.0311346i | ||||
\(772\) | 509410. | + | 507500.i | 0.854737 | + | 0.851534i | ||||
\(773\) | −629.598 | −0.00105367 | −0.000526834 | − | 1.00000i | \(-0.500168\pi\) | ||||
−0.000526834 | 1.00000i | \(0.500168\pi\) | ||||||||
\(774\) | 4198.39 | + | 66962.1i | 0.00700811 | + | 0.111776i | ||||
\(775\) | 111529.i | 0.185689i | ||||||||
\(776\) | 47720.2 | − | 370531.i | 0.0792463 | − | 0.615321i | ||||
\(777\) | −242026. | + | 128779.i | −0.400885 | + | 0.213306i | ||||
\(778\) | −152851. | + | 369998.i | −0.252528 | + | 0.611280i | ||||
\(779\) | 92191.9 | − | 53227.0i | 0.151921 | − | 0.0877117i | ||||
\(780\) | 275205. | + | 293838.i | 0.452342 | + | 0.482969i | ||||
\(781\) | 47109.5 | − | 81596.0i | 0.0772336 | − | 0.133773i | ||||
\(782\) | −206257. | + | 158574.i | −0.337283 | + | 0.259310i | ||||
\(783\) | −517694. | + | 713874.i | −0.844403 | + | 1.16439i | ||||
\(784\) | 1.49697e6 | + | 856796.i | 2.43545 | + | 1.39394i | ||||
\(785\) | −387466. | + | 671110.i | −0.628773 | + | 1.08907i | ||||
\(786\) | −56877.8 | − | 583154.i | −0.0920656 | − | 0.943926i | ||||
\(787\) | 415038. | − | 239622.i | 0.670098 | − | 0.386881i | −0.126016 | − | 0.992028i | \(-0.540219\pi\) |
0.796114 | + | 0.605147i | \(0.206886\pi\) | |||||||
\(788\) | −687619. | + | 185631.i | −1.10738 | + | 0.298950i | ||||
\(789\) | −199747. | + | 106283.i | −0.320867 | + | 0.170730i | ||||
\(790\) | 83761.6 | + | 631650.i | 0.134212 | + | 1.01210i | ||||
\(791\) | − | 1.95717e6i | − | 3.12807i | ||||||
\(792\) | 36339.0 | + | 107389.i | 0.0579326 | + | 0.171202i | ||||
\(793\) | −236338. | −0.375826 | ||||||||
\(794\) | −651847. | + | 86439.9i | −1.03396 | + | 0.137111i | ||||
\(795\) | 564652. | + | 19551.1i | 0.893401 | + | 0.0309340i | ||||
\(796\) | 79511.0 | + | 294526.i | 0.125488 | + | 0.464834i | ||||
\(797\) | 344008. | + | 595840.i | 0.541567 | + | 0.938021i | 0.998814 | + | 0.0486819i | \(0.0155020\pi\) |
−0.457247 | + | 0.889340i | \(0.651165\pi\) | |||||||
\(798\) | −648079. | − | 906206.i | −1.01771 | − | 1.42305i | ||||
\(799\) | −301585. | − | 174120.i | −0.472407 | − | 0.272744i | ||||
\(800\) | 18606.3 | + | 136380.i | 0.0290724 | + | 0.213093i | ||||
\(801\) | 55098.9 | + | 112800.i | 0.0858772 | + | 0.175811i | ||||
\(802\) | −381436. | − | 496133.i | −0.593026 | − | 0.771346i | ||||
\(803\) | 57021.6 | + | 32921.5i | 0.0884318 | + | 0.0510561i | ||||
\(804\) | −8104.82 | − | 34761.1i | −0.0125381 | − | 0.0537751i | ||||
\(805\) | 242576. | + | 420155.i | 0.374332 | + | 0.648362i | ||||
\(806\) | −387189. | − | 159953.i | −0.596010 | − | 0.246220i | ||||
\(807\) | −12172.4 | + | 19492.7i | −0.0186908 | + | 0.0299312i | ||||
\(808\) | −44954.1 | + | 349053.i | −0.0688567 | + | 0.534649i | ||||
\(809\) | −423910. | −0.647703 | −0.323852 | − | 0.946108i | \(-0.604978\pi\) | ||||
−0.323852 | + | 0.946108i | \(0.604978\pi\) | |||||||
\(810\) | 581269. | + | 3840.08i | 0.885945 | + | 0.00585289i | ||||
\(811\) | 257508.i | 0.391515i | 0.980652 | + | 0.195757i | \(0.0627165\pi\) | ||||
−0.980652 | + | 0.195757i | \(0.937283\pi\) | |||||||
\(812\) | 1.30582e6 | − | 1.31074e6i | 1.98049 | − | 1.98794i | ||||
\(813\) | 35292.1 | + | 22038.4i | 0.0533944 | + | 0.0333426i | ||||
\(814\) | 25762.7 | + | 10642.9i | 0.0388815 | + | 0.0160625i | ||||
\(815\) | −278323. | + | 160690.i | −0.419019 | + | 0.241921i | ||||
\(816\) | 20177.6 | − | 653714.i | 0.0303032 | − | 0.981764i | ||||
\(817\) | −33518.7 | + | 58056.2i | −0.0502162 | + | 0.0869770i | ||||
\(818\) | 659979. | + | 858432.i | 0.986333 | + | 1.28292i | ||||
\(819\) | 878221. | − | 428979.i | 1.30929 | − | 0.639541i | ||||
\(820\) | 29950.1 | − | 112621.i | 0.0445421 | − | 0.167491i | ||||
\(821\) | 439034. | − | 760430.i | 0.651347 | − | 1.12817i | −0.331450 | − | 0.943473i | \(-0.607538\pi\) |
0.982796 | − | 0.184692i | \(-0.0591289\pi\) | |||||||
\(822\) | 516476. | + | 722186.i | 0.764376 | + | 1.06882i | ||||
\(823\) | 571229. | − | 329799.i | 0.843355 | − | 0.486911i | −0.0150484 | − | 0.999887i | \(-0.504790\pi\) |
0.858403 | + | 0.512976i | \(0.171457\pi\) | |||||||
\(824\) | −696126. | + | 912519.i | −1.02526 | + | 1.34396i | ||||
\(825\) | −915.505 | + | 26440.6i | −0.00134509 | + | 0.0388475i | ||||
\(826\) | −559447. | + | 74186.9i | −0.819971 | + | 0.108734i | ||||
\(827\) | 853638.i | 1.24814i | 0.781369 | + | 0.624069i | \(0.214522\pi\) | ||||
−0.781369 | + | 0.624069i | \(0.785478\pi\) | |||||||
\(828\) | 281013. | + | 95985.2i | 0.409888 | + | 0.140005i | ||||
\(829\) | 542017. | 0.788685 | 0.394343 | − | 0.918963i | \(-0.370972\pi\) | ||||
0.394343 | + | 0.918963i | \(0.370972\pi\) | |||||||
\(830\) | 38695.6 | + | 291805.i | 0.0561701 | + | 0.423581i | ||||
\(831\) | 41660.3 | + | 78295.7i | 0.0603281 | + | 0.113380i | ||||
\(832\) | −500145. | − | 130999.i | −0.722519 | − | 0.189243i | ||||
\(833\) | −956282. | − | 1.65633e6i | −1.37815 | − | 2.38702i | ||||
\(834\) | −68915.2 | − | 706570.i | −0.0990792 | − | 1.01583i | ||||
\(835\) | −855844. | − | 494122.i | −1.22750 | − | 0.708698i | ||||
\(836\) | −29112.4 | + | 109471.i | −0.0416548 | + | 0.156634i | ||||
\(837\) | −552359. | + | 246513.i | −0.788443 | + | 0.351875i | ||||
\(838\) | −180764. | + | 138975.i | −0.257410 | + | 0.197901i | ||||
\(839\) | 1.01749e6 | + | 587450.i | 1.44547 | + | 0.834540i | 0.998207 | − | 0.0598644i | \(-0.0190668\pi\) |
0.447259 | + | 0.894404i | \(0.352400\pi\) | |||||||
\(840\) | −1.20350e6 | − | 197549.i | −1.70564 | − | 0.279973i | ||||
\(841\) | −377978. | − | 654677.i | −0.534410 | − | 0.925625i | ||||
\(842\) | 356806. | − | 863699.i | 0.503278 | − | 1.21826i | ||||
\(843\) | 204688. | + | 384688.i | 0.288030 | + | 0.541319i | ||||
\(844\) | 10760.8 | − | 10801.3i | 0.0151063 | − | 0.0151632i | ||||
\(845\) | 279706. | 0.391732 | ||||||||
\(846\) | 24872.2 | + | 396698.i | 0.0347515 | + | 0.554267i | ||||
\(847\) | 1.35390e6i | 1.88721i | ||||||||
\(848\) | −626999. | + | 365144.i | −0.871917 | + | 0.507776i | ||||
\(849\) | 41181.5 | − | 1.18936e6i | 0.0571330 | − | 1.65005i | ||||
\(850\) | 58274.7 | − | 141062.i | 0.0806570 | − | 0.195242i | ||||
\(851\) | 63230.5 | − | 36506.2i | 0.0873108 | − | 0.0504089i | ||||
\(852\) | 593677. | + | 180096.i | 0.817845 | + | 0.248098i | ||||
\(853\) | −587574. | + | 1.01771e6i | −0.807541 | + | 1.39870i | 0.107021 | + | 0.994257i | \(0.465869\pi\) |
−0.914562 | + | 0.404445i | \(0.867465\pi\) | |||||||
\(854\) | 567600. | − | 436382.i | 0.778263 | − | 0.598344i | ||||
\(855\) | 481693. | + | 324492.i | 0.658928 | + | 0.443886i | ||||
\(856\) | −214900. | − | 514710.i | −0.293284 | − | 0.702449i | ||||
\(857\) | −447698. | + | 775436.i | −0.609570 | + | 1.05581i | 0.381741 | + | 0.924269i | \(0.375325\pi\) |
−0.991311 | + | 0.131538i | \(0.958009\pi\) | |||||||
\(858\) | −90479.1 | − | 41098.9i | −0.122906 | − | 0.0558285i | ||||
\(859\) | 918319. | − | 530192.i | 1.24454 | − | 0.718533i | 0.274521 | − | 0.961581i | \(-0.411481\pi\) |
0.970014 | + | 0.243048i | \(0.0781473\pi\) | |||||||
\(860\) | 19126.7 | + | 70849.5i | 0.0258609 | + | 0.0957943i | ||||
\(861\) | −239973. | − | 149853.i | −0.323711 | − | 0.202144i | ||||
\(862\) | −175195. | − | 1.32116e6i | −0.235781 | − | 1.77803i | ||||
\(863\) | − | 150213.i | − | 0.201691i | −0.994902 | − | 0.100845i | \(-0.967845\pi\) | ||
0.994902 | − | 0.100845i | \(-0.0321547\pi\) | |||||||
\(864\) | −634306. | + | 393589.i | −0.849711 | + | 0.527248i | ||||
\(865\) | 1.17139e6 | 1.56556 | ||||||||
\(866\) | 853898. | − | 113233.i | 1.13860 | − | 0.150987i | ||||
\(867\) | 14022.9 | − | 22456.1i | 0.0186552 | − | 0.0298742i | ||||
\(868\) | 1.22523e6 | − | 330767.i | 1.62622 | − | 0.439019i | ||||
\(869\) | −78641.1 | − | 136210.i | −0.104138 | − | 0.180373i | ||||
\(870\) | −398901. | + | 878178.i | −0.527019 | + | 1.16023i | ||||
\(871\) | 27095.7 | + | 15643.7i | 0.0357161 | + | 0.0206207i | ||||
\(872\) | 718283. | − | 299895.i | 0.944631 | − | 0.394399i | ||||
\(873\) | 471695. | + | 32704.1i | 0.618917 | + | 0.0429114i | ||||
\(874\) | 180843. | + | 235222.i | 0.236744 | + | 0.307932i | ||||
\(875\) | −1.39254e6 | − | 803981.i | −1.81882 | − | 1.05010i | ||||
\(876\) | −125856. | + | 414878.i | −0.164008 | + | 0.540645i | ||||
\(877\) | 588870. | + | 1.01995e6i | 0.765632 | + | 1.32611i | 0.939912 | + | 0.341418i | \(0.110907\pi\) |
−0.174280 | + | 0.984696i | \(0.555760\pi\) | |||||||
\(878\) | −115487. | − | 47709.2i | −0.149811 | − | 0.0618890i | ||||
\(879\) | −805190. | − | 27879.7i | −1.04213 | − | 0.0360836i | ||||
\(880\) | 62404.1 | + | 107156.i | 0.0805838 | + | 0.138373i | ||||
\(881\) | 1.15136e6 | 1.48341 | 0.741703 | − | 0.670728i | \(-0.234018\pi\) | ||||
0.741703 | + | 0.670728i | \(0.234018\pi\) | |||||||
\(882\) | −971050. | + | 1.95511e6i | −1.24826 | + | 2.51324i | ||||
\(883\) | − | 109897.i | − | 0.140950i | −0.997514 | − | 0.0704752i | \(-0.977548\pi\) | ||
0.997514 | − | 0.0704752i | \(-0.0224516\pi\) | |||||||
\(884\) | 406139. | + | 404617.i | 0.519721 | + | 0.517773i | ||||
\(885\) | 259723. | − | 138195.i | 0.331607 | − | 0.176444i | ||||
\(886\) | 789012. | + | 325952.i | 1.00512 | + | 0.415228i | ||||
\(887\) | −856444. | + | 494468.i | −1.08856 | + | 0.628480i | −0.933192 | − | 0.359377i | \(-0.882989\pi\) |
−0.155366 | + | 0.987857i | \(0.549656\pi\) | |||||||
\(888\) | −29729.8 | + | 181118.i | −0.0377021 | + | 0.229687i | ||||
\(889\) | −388618. | + | 673105.i | −0.491721 | + | 0.851686i | ||||
\(890\) | 83692.1 | + | 108858.i | 0.105658 | + | 0.137429i | ||||
\(891\) | −132973. | + | 53907.3i | −0.167497 | + | 0.0679036i | ||||
\(892\) | −670181. | − | 178227.i | −0.842292 | − | 0.223997i | ||||
\(893\) | −198572. | + | 343937.i | −0.249009 | + | 0.431297i | ||||
\(894\) | −1.07080e6 | + | 104440.i | −1.33977 | + | 0.130675i | ||||
\(895\) | −629943. | + | 363698.i | −0.786421 | + | 0.454040i | ||||
\(896\) | 1.44305e6 | − | 608871.i | 1.79749 | − | 0.758419i | ||||
\(897\) | −229793. | + | 122270.i | −0.285596 | + | 0.151962i | ||||
\(898\) | 1.55857e6 | − | 206678.i | 1.93274 | − | 0.256296i | ||||
\(899\) | − | 1.00367e6i | − | 1.24186i | ||||||
\(900\) | −170921. | + | 33661.8i | −0.211014 | + | 0.0415577i | ||||
\(901\) | 804551. | 0.991070 | ||||||||
\(902\) | 3781.45 | + | 28516.1i | 0.00464777 | + | 0.0350491i | ||||
\(903\) | 178056. | + | 6165.21i | 0.218365 | + | 0.00756087i | ||||
\(904\) | −1.04177e6 | − | 794728.i | −1.27478 | − | 0.972482i | ||||
\(905\) | −252041. | − | 436548.i | −0.307733 | − | 0.533010i | ||||
\(906\) | −174611. | + | 124874.i | −0.212723 | + | 0.152130i | ||||
\(907\) | −445673. | − | 257309.i | −0.541753 | − | 0.312781i | 0.204036 | − | 0.978963i | \(-0.434594\pi\) |
−0.745789 | + | 0.666182i | \(0.767927\pi\) | |||||||
\(908\) | −92891.5 | − | 24703.4i | −0.112669 | − | 0.0299630i | ||||
\(909\) | −444352. | − | 30808.3i | −0.537774 | − | 0.0372855i | ||||
\(910\) | 847527. | − | 651595.i | 1.02346 | − | 0.786856i | ||||
\(911\) | 992039. | + | 572754.i | 1.19534 | + | 0.690131i | 0.959513 | − | 0.281664i | \(-0.0908862\pi\) |
0.235829 | + | 0.971795i | \(0.424220\pi\) | |||||||
\(912\) | −745517. | − | 23011.2i | −0.896330 | − | 0.0276662i | ||||
\(913\) | −36330.1 | − | 62925.6i | −0.0435838 | − | 0.0754894i | ||||
\(914\) | −110509. | + | 267502.i | −0.132283 | + | 0.320210i | ||||
\(915\) | −197694. | + | 316584.i | −0.236129 | + | 0.378135i | ||||
\(916\) | 46205.1 | + | 46032.0i | 0.0550680 | + | 0.0548616i | ||||
\(917\) | −1.55588e6 | −1.85028 | ||||||||
\(918\) | 827426. | − | 23178.0i | 0.981847 | − | 0.0275037i | ||||
\(919\) | − | 329486.i | − | 0.390127i | −0.980791 | − | 0.195063i | \(-0.937509\pi\) | ||
0.980791 | − | 0.195063i | \(-0.0624913\pi\) | |||||||
\(920\) | 322142. | + | 41488.2i | 0.380602 | + | 0.0490172i | ||||
\(921\) | −478848. | − | 299021.i | −0.564518 | − | 0.352518i | ||||
\(922\) | 88874.2 | − | 215132.i | 0.104548 | − | 0.253072i | ||||
\(923\) | −470954. | + | 271906.i | −0.552809 | + | 0.319165i | ||||
\(924\) | 293185. | − | 68358.4i | 0.343398 | − | 0.0800659i | ||||
\(925\) | −21416.0 | + | 37093.5i | −0.0250296 | + | 0.0433525i | ||||
\(926\) | 236991. | − | 182203.i | 0.276382 | − | 0.212488i | ||||
\(927\) | −1.20474e6 | − | 811569.i | −1.40195 | − | 0.944422i | ||||
\(928\) | −167442. | − | 1.22731e6i | −0.194432 | − | 1.42514i | ||||
\(929\) | 453534. | − | 785545.i | 0.525507 | − | 0.910205i | −0.474051 | − | 0.880497i | \(-0.657209\pi\) |
0.999559 | − | 0.0297082i | \(-0.00945781\pi\) | |||||||
\(930\) | −538142. | + | 384856.i | −0.622202 | + | 0.444972i | ||||
\(931\) | −1.88893e6 | + | 1.09058e6i | −2.17930 | + | 1.25822i | ||||
\(932\) | −578145. | + | 156077.i | −0.665587 | + | 0.179683i | ||||
\(933\) | 38239.3 | − | 1.10438e6i | 0.0439285 | − | 1.26869i | ||||
\(934\) | 139011. | + | 1.04829e6i | 0.159351 | + | 1.20167i | ||||
\(935\) | − | 137500.i | − | 0.157282i | ||||||
\(936\) | 128271. | − | 641653.i | 0.146412 | − | 0.732401i | ||||
\(937\) | 1.29741e6 | 1.47774 | 0.738872 | − | 0.673846i | \(-0.235359\pi\) | ||||
0.738872 | + | 0.673846i | \(0.235359\pi\) | |||||||
\(938\) | −93959.3 | + | 12459.7i | −0.106791 | + | 0.0141613i | ||||
\(939\) | 205415. | + | 386054.i | 0.232971 | + | 0.437842i | ||||
\(940\) | 113311. | + | 419728.i | 0.128238 | + | 0.475020i | ||||
\(941\) | −54978.4 | − | 95225.4i | −0.0620888 | − | 0.107541i | 0.833310 | − | 0.552806i | \(-0.186443\pi\) |
−0.895399 | + | 0.445265i | \(0.853110\pi\) | |||||||
\(942\) | 1.25358e6 | − | 122268.i | 1.41271 | − | 0.137788i | ||||
\(943\) | 65252.1 | + | 37673.3i | 0.0733788 | + | 0.0423653i | ||||
\(944\) | −187680. | + | 327908.i | −0.210608 | + | 0.367967i | ||||
\(945\) | 159985. | − | 1.53525e6i | 0.179150 | − | 1.71915i | ||||
\(946\) | −11041.0 | − | 14361.0i | −0.0123375 | − | 0.0160473i | ||||
\(947\) | −476861. | − | 275316.i | −0.531730 | − | 0.306995i | 0.209990 | − | 0.977703i | \(-0.432657\pi\) |
−0.741721 | + | 0.670709i | \(0.765990\pi\) | |||||||
\(948\) | 755881. | − | 707947.i | 0.841079 | − | 0.787742i | ||||
\(949\) | −190015. | − | 329116.i | −0.210987 | − | 0.365441i | ||||
\(950\) | −160872. | − | 66458.4i | −0.178251 | − | 0.0736381i | ||||
\(951\) | 465599. | + | 875041.i | 0.514815 | + | 0.967537i | ||||
\(952\) | −1.72250e6 | − | 221838.i | −1.90058 | − | 0.244772i | ||||
\(953\) | −802951. | −0.884104 | −0.442052 | − | 0.896989i | \(-0.645749\pi\) | ||||
−0.442052 | + | 0.896989i | \(0.645749\pi\) | |||||||
\(954\) | −508017. | − | 764985.i | −0.558189 | − | 0.840536i | ||||
\(955\) | − | 1.27365e6i | − | 1.39650i | ||||||
\(956\) | −289635. | + | 290725.i | −0.316910 | + | 0.318102i | ||||
\(957\) | 8238.80 | − | 237944.i | 0.00899580 | − | 0.259807i | ||||
\(958\) | 1.03397e6 | + | 427147.i | 1.12662 | + | 0.465421i | ||||
\(959\) | 2.04180e6 | − | 1.17883e6i | 2.22012 | − | 1.28179i | ||||
\(960\) | −593842. | + | 560385.i | −0.644360 | + | 0.608056i | ||||
\(961\) | −117537. | + | 203580.i | −0.127271 | + | 0.220439i | ||||
\(962\) | −98060.8 | − | 127547.i | −0.105961 | − | 0.137823i | ||||
\(963\) | 634301. | − | 309834.i | 0.683980 | − | 0.334100i | ||||
\(964\) | −314992. | + | 1.18446e6i | −0.338958 | + | 1.27458i | ||||
\(965\) | −497708. | + | 862055.i | −0.534466 | + | 0.925722i | ||||
\(966\) | 326117. | − | 717946.i | 0.349478 | − | 0.769374i | ||||
\(967\) | −826524. | + | 477194.i | −0.883898 | + | 0.510319i | −0.871942 | − | 0.489610i | \(-0.837139\pi\) |
−0.0119565 | + | 0.999929i | \(0.503806\pi\) | |||||||
\(968\) | 720658. | + | 549763.i | 0.769093 | + | 0.586712i | ||||
\(969\) | 701515. | + | 438067.i | 0.747118 | + | 0.466544i | ||||
\(970\) | 512682. | − | 67985.5i | 0.544885 | − | 0.0722559i | ||||
\(971\) | 708749.i | 0.751716i | 0.926677 | + | 0.375858i | \(0.122652\pi\) | ||||
−0.926677 | + | 0.375858i | \(0.877348\pi\) | |||||||
\(972\) | −544499. | − | 772100.i | −0.576321 | − | 0.817223i | ||||
\(973\) | −1.88516e6 | −1.99123 | ||||||||
\(974\) | −32867.5 | − | 247856.i | −0.0346457 | − | 0.261265i | ||||
\(975\) | 80880.8 | − | 129521.i | 0.0850817 | − | 0.136249i | ||||
\(976\) | −1799.79 | − | 479321.i | −0.00188939 | − | 0.503184i | ||||
\(977\) | 311552. | + | 539625.i | 0.326394 | + | 0.565331i | 0.981793 | − | 0.189952i | \(-0.0608331\pi\) |
−0.655400 | + | 0.755282i | \(0.727500\pi\) | |||||||
\(978\) | 475588. | + | 216030.i | 0.497225 | + | 0.225858i | ||||
\(979\) | −29353.2 | − | 16947.1i | −0.0306260 | − | 0.0176819i | ||||
\(980\) | −613652. | + | 2.30750e6i | −0.638954 | + | 2.40264i | ||||
\(981\) | 432376. | + | 885174.i | 0.449286 | + | 0.919794i | ||||
\(982\) | −1.06827e6 | + | 821307.i | −1.10779 | + | 0.851692i | ||||
\(983\) | −1.50312e6 | − | 867829.i | −1.55556 | − | 0.898105i | −0.997672 | − | 0.0681909i | \(-0.978277\pi\) |
−0.557891 | − | 0.829914i | \(-0.688389\pi\) | |||||||
\(984\) | −177208. | + | 66884.5i | −0.183018 | + | 0.0690773i | ||||
\(985\) | −492981. | − | 853867.i | −0.508110 | − | 0.880072i | ||||
\(986\) | −524425. | + | 1.26944e6i | −0.539423 | + | 1.30575i | ||||
\(987\) | 1.05485e6 | + | 36524.0i | 1.08282 | + | 0.0374925i | ||||
\(988\) | 461439. | − | 463175.i | 0.472716 | − | 0.474494i | ||||
\(989\) | −47448.1 | −0.0485095 | ||||||||
\(990\) | −130738. | + | 86821.5i | −0.133393 | + | 0.0885843i | ||||
\(991\) | 106256.i | 0.108195i | 0.998536 | + | 0.0540974i | \(0.0172282\pi\) | ||||
−0.998536 | + | 0.0540974i | \(0.982772\pi\) | |||||||
\(992\) | 321455. | − | 786483.i | 0.326661 | − | 0.799219i | ||||
\(993\) | −1.46607e6 | + | 780078.i | −1.48681 | + | 0.791115i | ||||
\(994\) | 629010. | − | 1.52261e6i | 0.636626 | − | 1.54104i | ||||
\(995\) | −365735. | + | 211157.i | −0.369420 | + | 0.213285i | ||||
\(996\) | 349197. | − | 327053.i | 0.352007 | − | 0.329685i | ||||
\(997\) | 765045. | − | 1.32510e6i | 0.769656 | − | 1.33308i | −0.168094 | − | 0.985771i | \(-0.553761\pi\) |
0.937750 | − | 0.347312i | \(-0.112905\pi\) | |||||||
\(998\) | 1.01295e6 | − | 778779.i | 1.01702 | − | 0.781903i | ||||
\(999\) | −231044. | − | 24076.7i | −0.231507 | − | 0.0241250i |
(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 | 36.5.f.a.7.1 | ✓ | 44 | |
3.2 | odd | 2 | 108.5.f.a.19.22 | 44 | |||
4.3 | odd | 2 | inner | 36.5.f.a.7.15 | yes | 44 | |
9.2 | odd | 6 | 324.5.d.e.163.7 | 22 | |||
9.4 | even | 3 | inner | 36.5.f.a.31.15 | yes | 44 | |
9.5 | odd | 6 | 108.5.f.a.91.8 | 44 | |||
9.7 | even | 3 | 324.5.d.f.163.16 | 22 | |||
12.11 | even | 2 | 108.5.f.a.19.8 | 44 | |||
36.7 | odd | 6 | 324.5.d.f.163.15 | 22 | |||
36.11 | even | 6 | 324.5.d.e.163.8 | 22 | |||
36.23 | even | 6 | 108.5.f.a.91.22 | 44 | |||
36.31 | odd | 6 | inner | 36.5.f.a.31.1 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.1 | ✓ | 44 | 1.1 | even | 1 | trivial | |
36.5.f.a.7.15 | yes | 44 | 4.3 | odd | 2 | inner | |
36.5.f.a.31.1 | yes | 44 | 36.31 | odd | 6 | inner | |
36.5.f.a.31.15 | yes | 44 | 9.4 | even | 3 | inner | |
108.5.f.a.19.8 | 44 | 12.11 | even | 2 | |||
108.5.f.a.19.22 | 44 | 3.2 | odd | 2 | |||
108.5.f.a.91.8 | 44 | 9.5 | odd | 6 | |||
108.5.f.a.91.22 | 44 | 36.23 | even | 6 | |||
324.5.d.e.163.7 | 22 | 9.2 | odd | 6 | |||
324.5.d.e.163.8 | 22 | 36.11 | even | 6 | |||
324.5.d.f.163.15 | 22 | 36.7 | odd | 6 | |||
324.5.d.f.163.16 | 22 | 9.7 | even | 3 |