Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,4,Mod(8,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([12]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.8");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.e (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.89109359028\) |
Analytic rank: | \(0\) |
Dimension: | \(78\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 43.10 | ||
Character | \(\chi\) | \(=\) | 49.43 |
Dual form | 49.4.e.a.8.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.88794 | − | 2.36740i | 0.667487 | − | 0.837002i | −0.326649 | − | 0.945146i | \(-0.605919\pi\) |
0.994135 | + | 0.108144i | \(0.0344908\pi\) | |||||||
\(3\) | −5.83533 | − | 2.81015i | −1.12301 | − | 0.540813i | −0.222189 | − | 0.975004i | \(-0.571320\pi\) |
−0.900821 | + | 0.434191i | \(0.857034\pi\) | |||||||
\(4\) | −0.260101 | − | 1.13958i | −0.0325127 | − | 0.142447i | ||||
\(5\) | −12.6471 | − | 6.09051i | −1.13119 | − | 0.544751i | −0.227857 | − | 0.973695i | \(-0.573172\pi\) |
−0.903331 | + | 0.428943i | \(0.858886\pi\) | |||||||
\(6\) | −17.6695 | + | 8.50917i | −1.20226 | + | 0.578976i | ||||
\(7\) | −3.94107 | − | 18.0961i | −0.212798 | − | 0.977096i | ||||
\(8\) | 18.6363 | + | 8.97477i | 0.823616 | + | 0.396632i | ||||
\(9\) | 9.31994 | + | 11.6868i | 0.345183 | + | 0.432846i | ||||
\(10\) | −38.2955 | + | 18.4422i | −1.21101 | + | 0.583192i | ||||
\(11\) | 1.11842 | − | 1.40245i | 0.0306560 | − | 0.0384415i | −0.766267 | − | 0.642522i | \(-0.777888\pi\) |
0.796923 | + | 0.604081i | \(0.206460\pi\) | |||||||
\(12\) | −1.68461 | + | 7.38074i | −0.0405253 | + | 0.177553i | ||||
\(13\) | 19.6402 | − | 24.6280i | 0.419017 | − | 0.525430i | −0.526862 | − | 0.849951i | \(-0.676632\pi\) |
0.945879 | + | 0.324521i | \(0.105203\pi\) | |||||||
\(14\) | −50.2811 | − | 24.8342i | −0.959871 | − | 0.474086i | ||||
\(15\) | 56.6846 | + | 71.0802i | 0.975727 | + | 1.22352i | ||||
\(16\) | 64.8561 | − | 31.2330i | 1.01338 | − | 0.488016i | ||||
\(17\) | 3.96139 | − | 17.3560i | 0.0565163 | − | 0.247614i | −0.938777 | − | 0.344526i | \(-0.888039\pi\) |
0.995293 | + | 0.0969123i | \(0.0308966\pi\) | |||||||
\(18\) | 45.2629 | 0.592698 | ||||||||
\(19\) | 34.8025 | 0.420224 | 0.210112 | − | 0.977677i | \(-0.432617\pi\) | ||||
0.210112 | + | 0.977677i | \(0.432617\pi\) | |||||||
\(20\) | −3.65109 | + | 15.9965i | −0.0408205 | + | 0.178846i | ||||
\(21\) | −27.8552 | + | 116.672i | −0.289452 | + | 1.21237i | ||||
\(22\) | −1.20866 | − | 5.29549i | −0.0117131 | − | 0.0513183i | ||||
\(23\) | −44.3595 | − | 194.352i | −0.402156 | − | 1.76196i | −0.618639 | − | 0.785675i | \(-0.712316\pi\) |
0.216483 | − | 0.976286i | \(-0.430541\pi\) | |||||||
\(24\) | −83.5285 | − | 104.741i | −0.710425 | − | 0.890844i | ||||
\(25\) | 44.9178 | + | 56.3251i | 0.359342 | + | 0.450601i | ||||
\(26\) | −21.2249 | − | 92.9924i | −0.160098 | − | 0.701435i | ||||
\(27\) | 17.3694 | + | 76.1004i | 0.123805 | + | 0.542427i | ||||
\(28\) | −19.5968 | + | 9.19798i | −0.132266 | + | 0.0620805i | ||||
\(29\) | −61.3317 | + | 268.712i | −0.392725 | + | 1.72064i | 0.262260 | + | 0.964997i | \(0.415532\pi\) |
−0.654984 | + | 0.755642i | \(0.727325\pi\) | |||||||
\(30\) | 275.292 | 1.67538 | ||||||||
\(31\) | 116.667 | 0.675936 | 0.337968 | − | 0.941158i | \(-0.390260\pi\) | ||||
0.337968 | + | 0.941158i | \(0.390260\pi\) | |||||||
\(32\) | 11.6809 | − | 51.1772i | 0.0645283 | − | 0.282717i | ||||
\(33\) | −10.4675 | + | 5.04086i | −0.0552167 | + | 0.0265910i | ||||
\(34\) | −33.6097 | − | 42.1452i | −0.169530 | − | 0.212583i | ||||
\(35\) | −60.3712 | + | 252.865i | −0.291560 | + | 1.22120i | ||||
\(36\) | 10.8939 | − | 13.6606i | 0.0504349 | − | 0.0632434i | ||||
\(37\) | 7.15720 | − | 31.3578i | 0.0318010 | − | 0.139329i | −0.956535 | − | 0.291617i | \(-0.905807\pi\) |
0.988336 | + | 0.152287i | \(0.0486640\pi\) | |||||||
\(38\) | 65.7050 | − | 82.3915i | 0.280494 | − | 0.351728i | ||||
\(39\) | −183.816 | + | 88.5209i | −0.754719 | + | 0.363454i | ||||
\(40\) | −181.034 | − | 227.009i | −0.715598 | − | 0.897332i | ||||
\(41\) | −294.218 | − | 141.688i | −1.12071 | − | 0.539706i | −0.220600 | − | 0.975364i | \(-0.570801\pi\) |
−0.900112 | + | 0.435658i | \(0.856516\pi\) | |||||||
\(42\) | 223.619 | + | 286.213i | 0.821553 | + | 1.05151i | ||||
\(43\) | 405.907 | − | 195.474i | 1.43954 | − | 0.693245i | 0.458795 | − | 0.888542i | \(-0.348281\pi\) |
0.980744 | + | 0.195297i | \(0.0625671\pi\) | |||||||
\(44\) | −1.88911 | − | 0.909748i | −0.00647259 | − | 0.00311704i | ||||
\(45\) | −46.6911 | − | 204.567i | −0.154673 | − | 0.677669i | ||||
\(46\) | −543.856 | − | 261.907i | −1.74320 | − | 0.839481i | ||||
\(47\) | −227.386 | + | 285.133i | −0.705694 | + | 0.884912i | −0.997434 | − | 0.0715852i | \(-0.977194\pi\) |
0.291740 | + | 0.956498i | \(0.405766\pi\) | |||||||
\(48\) | −466.226 | −1.40196 | ||||||||
\(49\) | −311.936 | + | 142.636i | −0.909434 | + | 0.415848i | ||||
\(50\) | 218.146 | 0.617010 | ||||||||
\(51\) | −71.8889 | + | 90.1458i | −0.197381 | + | 0.247508i | ||||
\(52\) | −33.1741 | − | 15.9758i | −0.0884695 | − | 0.0426047i | ||||
\(53\) | −91.3405 | − | 400.189i | −0.236728 | − | 1.03717i | −0.943926 | − | 0.330157i | \(-0.892898\pi\) |
0.707198 | − | 0.707016i | \(-0.249959\pi\) | |||||||
\(54\) | 212.952 | + | 102.552i | 0.536651 | + | 0.258437i | ||||
\(55\) | −22.6864 | + | 10.9252i | −0.0556188 | + | 0.0267846i | ||||
\(56\) | 88.9610 | − | 372.614i | 0.212284 | − | 0.889154i | ||||
\(57\) | −203.084 | − | 97.8002i | −0.471915 | − | 0.227262i | ||||
\(58\) | 520.358 | + | 652.508i | 1.17804 | + | 1.47722i | ||||
\(59\) | 753.642 | − | 362.935i | 1.66298 | − | 0.800849i | 0.664412 | − | 0.747366i | \(-0.268682\pi\) |
0.998569 | − | 0.0534831i | \(-0.0170323\pi\) | |||||||
\(60\) | 66.2578 | − | 83.0847i | 0.142564 | − | 0.178770i | ||||
\(61\) | 1.60600 | − | 7.03636i | 0.00337094 | − | 0.0147691i | −0.973214 | − | 0.229899i | \(-0.926160\pi\) |
0.976585 | + | 0.215130i | \(0.0690175\pi\) | |||||||
\(62\) | 220.260 | − | 276.198i | 0.451179 | − | 0.565760i | ||||
\(63\) | 174.755 | − | 214.713i | 0.349478 | − | 0.429386i | ||||
\(64\) | 259.950 | + | 325.967i | 0.507715 | + | 0.636655i | ||||
\(65\) | −398.388 | + | 191.854i | −0.760215 | + | 0.366100i | ||||
\(66\) | −7.82818 | + | 34.2975i | −0.0145997 | + | 0.0639656i | ||||
\(67\) | 671.084 | 1.22367 | 0.611836 | − | 0.790985i | \(-0.290431\pi\) | ||||
0.611836 | + | 0.790985i | \(0.290431\pi\) | |||||||
\(68\) | −20.8089 | −0.0371095 | ||||||||
\(69\) | −287.304 | + | 1258.76i | −0.501267 | + | 2.19619i | ||||
\(70\) | 484.656 | + | 620.317i | 0.827536 | + | 1.05917i | ||||
\(71\) | −159.690 | − | 699.647i | −0.266925 | − | 1.16948i | −0.913569 | − | 0.406684i | \(-0.866685\pi\) |
0.646644 | − | 0.762792i | \(-0.276172\pi\) | |||||||
\(72\) | 68.8025 | + | 301.444i | 0.112617 | + | 0.493409i | ||||
\(73\) | 341.931 | + | 428.768i | 0.548219 | + | 0.687445i | 0.976331 | − | 0.216280i | \(-0.0693926\pi\) |
−0.428112 | + | 0.903726i | \(0.640821\pi\) | |||||||
\(74\) | −60.7240 | − | 76.1455i | −0.0953921 | − | 0.119618i | ||||
\(75\) | −103.828 | − | 454.901i | −0.159854 | − | 0.700366i | ||||
\(76\) | −9.05219 | − | 39.6602i | −0.0136626 | − | 0.0598597i | ||||
\(77\) | −29.7867 | − | 14.7118i | −0.0440845 | − | 0.0217736i | ||||
\(78\) | −137.468 | + | 602.287i | −0.199554 | + | 0.874302i | ||||
\(79\) | 195.323 | 0.278171 | 0.139086 | − | 0.990280i | \(-0.455584\pi\) | ||||
0.139086 | + | 0.990280i | \(0.455584\pi\) | |||||||
\(80\) | −1010.46 | −1.41217 | ||||||||
\(81\) | 202.306 | − | 886.359i | 0.277511 | − | 1.21586i | ||||
\(82\) | −890.898 | + | 429.034i | −1.19980 | + | 0.577791i | ||||
\(83\) | 801.597 | + | 1005.17i | 1.06008 | + | 1.32930i | 0.941746 | + | 0.336325i | \(0.109184\pi\) |
0.118335 | + | 0.992974i | \(0.462244\pi\) | |||||||
\(84\) | 140.202 | + | 1.39671i | 0.182110 | + | 0.00181420i | ||||
\(85\) | −155.807 | + | 195.375i | −0.198819 | + | 0.249311i | ||||
\(86\) | 303.561 | − | 1329.99i | 0.380625 | − | 1.66763i | ||||
\(87\) | 1113.01 | − | 1395.67i | 1.37158 | − | 1.71991i | ||||
\(88\) | 33.4299 | − | 16.0990i | 0.0404959 | − | 0.0195018i | ||||
\(89\) | −378.661 | − | 474.826i | −0.450989 | − | 0.565522i | 0.503414 | − | 0.864046i | \(-0.332077\pi\) |
−0.954402 | + | 0.298524i | \(0.903506\pi\) | |||||||
\(90\) | −572.442 | − | 275.674i | −0.670452 | − | 0.322873i | ||||
\(91\) | −523.075 | − | 258.350i | −0.602562 | − | 0.297609i | ||||
\(92\) | −209.941 | + | 101.102i | −0.237912 | + | 0.114572i | ||||
\(93\) | −680.791 | − | 327.852i | −0.759083 | − | 0.365555i | ||||
\(94\) | 245.733 | + | 1076.63i | 0.269632 | + | 1.18133i | ||||
\(95\) | −440.150 | − | 211.965i | −0.475352 | − | 0.228917i | ||||
\(96\) | −211.977 | + | 265.811i | −0.225363 | + | 0.282596i | ||||
\(97\) | 665.767 | 0.696891 | 0.348445 | − | 0.937329i | \(-0.386710\pi\) | ||||
0.348445 | + | 0.937329i | \(0.386710\pi\) | |||||||
\(98\) | −251.239 | + | 1007.76i | −0.258969 | + | 1.03877i | ||||
\(99\) | 26.8139 | 0.0272212 | ||||||||
\(100\) | 52.5038 | − | 65.8376i | 0.0525038 | − | 0.0658376i | ||||
\(101\) | −361.759 | − | 174.214i | −0.356400 | − | 0.171633i | 0.247113 | − | 0.968987i | \(-0.420518\pi\) |
−0.603512 | + | 0.797354i | \(0.706233\pi\) | |||||||
\(102\) | 77.6893 | + | 340.379i | 0.0754156 | + | 0.330417i | ||||
\(103\) | −667.639 | − | 321.518i | −0.638684 | − | 0.307574i | 0.0863730 | − | 0.996263i | \(-0.472472\pi\) |
−0.725057 | + | 0.688689i | \(0.758187\pi\) | |||||||
\(104\) | 587.052 | − | 282.709i | 0.553511 | − | 0.266557i | ||||
\(105\) | 1062.88 | − | 1305.90i | 0.987867 | − | 1.21374i | ||||
\(106\) | −1119.85 | − | 539.292i | −1.02613 | − | 0.494157i | ||||
\(107\) | −153.777 | − | 192.830i | −0.138936 | − | 0.174220i | 0.707496 | − | 0.706718i | \(-0.249825\pi\) |
−0.846431 | + | 0.532498i | \(0.821254\pi\) | |||||||
\(108\) | 82.2046 | − | 39.5876i | 0.0732420 | − | 0.0352715i | ||||
\(109\) | −277.240 | + | 347.648i | −0.243622 | + | 0.305492i | −0.888576 | − | 0.458729i | \(-0.848305\pi\) |
0.644955 | + | 0.764221i | \(0.276876\pi\) | |||||||
\(110\) | −16.9662 | + | 74.3338i | −0.0147060 | + | 0.0644314i | ||||
\(111\) | −129.885 | + | 162.870i | −0.111064 | + | 0.139270i | ||||
\(112\) | −820.798 | − | 1050.55i | −0.692483 | − | 0.886317i | ||||
\(113\) | −430.478 | − | 539.803i | −0.358371 | − | 0.449384i | 0.569663 | − | 0.821879i | \(-0.307074\pi\) |
−0.928034 | + | 0.372495i | \(0.878502\pi\) | |||||||
\(114\) | −614.943 | + | 296.141i | −0.505216 | + | 0.243299i | ||||
\(115\) | −622.682 | + | 2728.15i | −0.504917 | + | 2.21219i | ||||
\(116\) | 322.171 | 0.257869 | ||||||||
\(117\) | 470.869 | 0.372067 | ||||||||
\(118\) | 563.618 | − | 2469.37i | 0.439705 | − | 1.92647i | ||||
\(119\) | −329.687 | − | 3.28438i | −0.253969 | − | 0.00253008i | ||||
\(120\) | 418.462 | + | 1833.40i | 0.318335 | + | 1.39472i | ||||
\(121\) | 295.459 | + | 1294.49i | 0.221983 | + | 0.972571i | ||||
\(122\) | −13.6258 | − | 17.0863i | −0.0101117 | − | 0.0126796i | ||||
\(123\) | 1318.70 | + | 1653.59i | 0.966690 | + | 1.21219i | ||||
\(124\) | −30.3453 | − | 132.951i | −0.0219765 | − | 0.0962854i | ||||
\(125\) | 165.416 | + | 724.736i | 0.118362 | + | 0.518579i | ||||
\(126\) | −178.384 | − | 819.080i | −0.126125 | − | 0.579123i | ||||
\(127\) | −170.896 | + | 748.744i | −0.119406 | + | 0.523152i | 0.879479 | + | 0.475938i | \(0.157891\pi\) |
−0.998885 | + | 0.0472140i | \(0.984966\pi\) | |||||||
\(128\) | 1682.41 | 1.16176 | ||||||||
\(129\) | −2917.91 | −1.99153 | ||||||||
\(130\) | −297.938 | + | 1305.35i | −0.201007 | + | 0.880669i | ||||
\(131\) | 970.504 | − | 467.370i | 0.647277 | − | 0.311712i | −0.0812859 | − | 0.996691i | \(-0.525903\pi\) |
0.728563 | + | 0.684978i | \(0.240188\pi\) | |||||||
\(132\) | 8.46706 | + | 10.6174i | 0.00558305 | + | 0.00700093i | ||||
\(133\) | −137.159 | − | 629.789i | −0.0894227 | − | 0.410599i | ||||
\(134\) | 1266.97 | − | 1588.72i | 0.816785 | − | 1.02422i | ||||
\(135\) | 243.818 | − | 1068.23i | 0.155441 | − | 0.681030i | ||||
\(136\) | 229.591 | − | 287.899i | 0.144760 | − | 0.181523i | ||||
\(137\) | −843.151 | + | 406.040i | −0.525805 | + | 0.253214i | −0.677903 | − | 0.735151i | \(-0.737111\pi\) |
0.152098 | + | 0.988365i | \(0.451397\pi\) | |||||||
\(138\) | 2437.58 | + | 3056.63i | 1.50363 | + | 1.88549i | ||||
\(139\) | −2181.19 | − | 1050.40i | −1.33098 | − | 0.640964i | −0.373005 | − | 0.927829i | \(-0.621673\pi\) |
−0.957971 | + | 0.286865i | \(0.907387\pi\) | |||||||
\(140\) | 303.863 | + | 3.02712i | 0.183436 | + | 0.00182742i | ||||
\(141\) | 2128.14 | − | 1024.86i | 1.27107 | − | 0.612117i | ||||
\(142\) | −1957.83 | − | 942.840i | −1.15702 | − | 0.557193i | ||||
\(143\) | −12.5737 | − | 55.0890i | −0.00735291 | − | 0.0322152i | ||||
\(144\) | 969.470 | + | 466.872i | 0.561036 | + | 0.270181i | ||||
\(145\) | 2412.26 | − | 3024.88i | 1.38157 | − | 1.73243i | ||||
\(146\) | 1660.61 | 0.941322 | ||||||||
\(147\) | 2221.08 | + | 44.2577i | 1.24620 | + | 0.0248321i | ||||
\(148\) | −37.5962 | −0.0208810 | ||||||||
\(149\) | −1276.44 | + | 1600.60i | −0.701811 | + | 0.880043i | −0.997157 | − | 0.0753475i | \(-0.975993\pi\) |
0.295347 | + | 0.955390i | \(0.404565\pi\) | |||||||
\(150\) | −1272.95 | − | 613.022i | −0.692909 | − | 0.333687i | ||||
\(151\) | −117.980 | − | 516.906i | −0.0635835 | − | 0.278577i | 0.933135 | − | 0.359527i | \(-0.117062\pi\) |
−0.996718 | + | 0.0809494i | \(0.974205\pi\) | |||||||
\(152\) | 648.590 | + | 312.345i | 0.346103 | + | 0.166674i | ||||
\(153\) | 239.756 | − | 115.461i | 0.126687 | − | 0.0610093i | ||||
\(154\) | −91.0642 | + | 42.7420i | −0.0476504 | + | 0.0223652i | ||||
\(155\) | −1475.50 | − | 710.562i | −0.764611 | − | 0.368217i | ||||
\(156\) | 148.687 | + | 186.448i | 0.0763110 | + | 0.0956909i | ||||
\(157\) | 2313.95 | − | 1114.34i | 1.17626 | − | 0.566459i | 0.259444 | − | 0.965758i | \(-0.416461\pi\) |
0.916821 | + | 0.399299i | \(0.130746\pi\) | |||||||
\(158\) | 368.757 | − | 462.407i | 0.185676 | − | 0.232830i | ||||
\(159\) | −591.588 | + | 2591.91i | −0.295069 | + | 1.29278i | ||||
\(160\) | −459.424 | + | 576.099i | −0.227004 | + | 0.284654i | ||||
\(161\) | −3342.18 | + | 1568.69i | −1.63603 | + | 0.767887i | ||||
\(162\) | −1716.42 | − | 2152.33i | −0.832439 | − | 1.04384i | ||||
\(163\) | −521.543 | + | 251.162i | −0.250616 | + | 0.120690i | −0.554975 | − | 0.831867i | \(-0.687272\pi\) |
0.304359 | + | 0.952557i | \(0.401558\pi\) | |||||||
\(164\) | −84.9381 | + | 372.138i | −0.0404424 | + | 0.177190i | ||||
\(165\) | 163.084 | 0.0769459 | ||||||||
\(166\) | 3893.00 | 1.82022 | ||||||||
\(167\) | 96.4044 | − | 422.375i | 0.0446706 | − | 0.195715i | −0.947669 | − | 0.319255i | \(-0.896567\pi\) |
0.992340 | + | 0.123540i | \(0.0394246\pi\) | |||||||
\(168\) | −1566.22 | + | 1924.33i | −0.719264 | + | 0.883723i | ||||
\(169\) | 268.076 | + | 1174.52i | 0.122019 | + | 0.534600i | ||||
\(170\) | 168.378 | + | 737.713i | 0.0759648 | + | 0.332823i | ||||
\(171\) | 324.357 | + | 406.731i | 0.145054 | + | 0.181892i | ||||
\(172\) | −328.335 | − | 411.719i | −0.145554 | − | 0.182519i | ||||
\(173\) | 309.958 | + | 1358.01i | 0.136218 | + | 0.596809i | 0.996246 | + | 0.0865631i | \(0.0275884\pi\) |
−0.860029 | + | 0.510246i | \(0.829554\pi\) | |||||||
\(174\) | −1202.82 | − | 5269.88i | −0.524053 | − | 2.29603i | ||||
\(175\) | 842.239 | − | 1034.82i | 0.363813 | − | 0.446999i | ||||
\(176\) | 28.7334 | − | 125.889i | 0.0123060 | − | 0.0539163i | ||||
\(177\) | −5417.65 | −2.30065 | ||||||||
\(178\) | −1838.99 | −0.774372 | ||||||||
\(179\) | −1009.14 | + | 4421.32i | −0.421377 | + | 1.84617i | 0.102993 | + | 0.994682i | \(0.467158\pi\) |
−0.524370 | + | 0.851491i | \(0.675699\pi\) | |||||||
\(180\) | −220.976 | + | 106.416i | −0.0915033 | + | 0.0440657i | ||||
\(181\) | 1172.81 | + | 1470.66i | 0.481625 | + | 0.603939i | 0.961975 | − | 0.273138i | \(-0.0880616\pi\) |
−0.480349 | + | 0.877077i | \(0.659490\pi\) | |||||||
\(182\) | −1599.15 | + | 750.578i | −0.651301 | + | 0.305695i | ||||
\(183\) | −29.1448 | + | 36.5464i | −0.0117729 | + | 0.0147628i | ||||
\(184\) | 917.564 | − | 4020.11i | 0.367629 | − | 1.61069i | ||||
\(185\) | −281.502 | + | 352.993i | −0.111873 | + | 0.140284i | ||||
\(186\) | −2061.45 | + | 992.741i | −0.812649 | + | 0.391351i | ||||
\(187\) | −19.9105 | − | 24.9669i | −0.00778608 | − | 0.00976344i | ||||
\(188\) | 384.075 | + | 184.961i | 0.148997 | + | 0.0717534i | ||||
\(189\) | 1308.66 | − | 614.235i | 0.503658 | − | 0.236397i | ||||
\(190\) | −1332.78 | + | 641.834i | −0.508895 | + | 0.245071i | ||||
\(191\) | 1523.77 | + | 733.808i | 0.577257 | + | 0.277992i | 0.699646 | − | 0.714490i | \(-0.253341\pi\) |
−0.122389 | + | 0.992482i | \(0.539055\pi\) | |||||||
\(192\) | −600.879 | − | 2632.62i | −0.225858 | − | 0.989549i | ||||
\(193\) | −446.929 | − | 215.230i | −0.166687 | − | 0.0802725i | 0.348680 | − | 0.937242i | \(-0.386630\pi\) |
−0.515367 | + | 0.856970i | \(0.672344\pi\) | |||||||
\(194\) | 1256.93 | − | 1576.14i | 0.465165 | − | 0.583299i | ||||
\(195\) | 2863.86 | 1.05172 | ||||||||
\(196\) | 243.680 | + | 318.376i | 0.0888046 | + | 0.116026i | ||||
\(197\) | 210.936 | 0.0762870 | 0.0381435 | − | 0.999272i | \(-0.487856\pi\) | ||||
0.0381435 | + | 0.999272i | \(0.487856\pi\) | |||||||
\(198\) | 50.6229 | − | 63.4791i | 0.0181698 | − | 0.0227842i | ||||
\(199\) | 4094.70 | + | 1971.90i | 1.45862 | + | 0.702434i | 0.984068 | − | 0.177793i | \(-0.0568957\pi\) |
0.474552 | + | 0.880227i | \(0.342610\pi\) | |||||||
\(200\) | 331.596 | + | 1452.82i | 0.117237 | + | 0.513649i | ||||
\(201\) | −3916.00 | − | 1885.85i | −1.37420 | − | 0.661778i | ||||
\(202\) | −1095.41 | + | 527.523i | −0.381549 | + | 0.183744i | ||||
\(203\) | 5104.34 | + | 50.8501i | 1.76480 | + | 0.0175812i | ||||
\(204\) | 121.427 | + | 58.4760i | 0.0416743 | + | 0.0200693i | ||||
\(205\) | 2858.05 | + | 3583.88i | 0.973730 | + | 1.22102i | ||||
\(206\) | −2021.62 | + | 973.562i | −0.683753 | + | 0.329278i | ||||
\(207\) | 1857.93 | − | 2329.77i | 0.623840 | − | 0.782271i | ||||
\(208\) | 504.578 | − | 2210.70i | 0.168203 | − | 0.736945i | ||||
\(209\) | 38.9239 | − | 48.8090i | 0.0128824 | − | 0.0161540i | ||||
\(210\) | −1084.95 | − | 4981.71i | −0.356517 | − | 1.63700i | ||||
\(211\) | −3471.02 | − | 4352.53i | −1.13249 | − | 1.42010i | −0.893494 | − | 0.449075i | \(-0.851754\pi\) |
−0.238995 | − | 0.971021i | \(-0.576818\pi\) | |||||||
\(212\) | −432.289 | + | 208.179i | −0.140046 | + | 0.0674426i | ||||
\(213\) | −1034.27 | + | 4531.42i | −0.332708 | + | 1.45769i | ||||
\(214\) | −746.825 | −0.238560 | ||||||||
\(215\) | −6324.06 | −2.00604 | ||||||||
\(216\) | −359.282 | + | 1574.12i | −0.113176 | + | 0.495856i | ||||
\(217\) | −459.794 | − | 2111.22i | −0.143838 | − | 0.660455i | ||||
\(218\) | 299.609 | + | 1312.67i | 0.0930831 | + | 0.407824i | ||||
\(219\) | −790.380 | − | 3462.88i | −0.243876 | − | 1.06849i | ||||
\(220\) | 18.3509 | + | 23.0113i | 0.00562371 | + | 0.00705191i | ||||
\(221\) | −349.641 | − | 438.436i | −0.106423 | − | 0.133450i | ||||
\(222\) | 140.365 | + | 614.977i | 0.0424354 | + | 0.185921i | ||||
\(223\) | −869.648 | − | 3810.17i | −0.261148 | − | 1.14416i | −0.920009 | − | 0.391898i | \(-0.871819\pi\) |
0.658861 | − | 0.752264i | \(-0.271038\pi\) | |||||||
\(224\) | −972.142 | − | 9.68459i | −0.289973 | − | 0.00288875i | ||||
\(225\) | −239.631 | + | 1049.89i | −0.0710019 | + | 0.311079i | ||||
\(226\) | −2090.64 | −0.615343 | ||||||||
\(227\) | 869.923 | 0.254356 | 0.127178 | − | 0.991880i | \(-0.459408\pi\) | ||||
0.127178 | + | 0.991880i | \(0.459408\pi\) | |||||||
\(228\) | −58.6286 | + | 256.869i | −0.0170297 | + | 0.0746120i | ||||
\(229\) | −409.049 | + | 196.988i | −0.118038 | + | 0.0568441i | −0.491971 | − | 0.870612i | \(-0.663723\pi\) |
0.373933 | + | 0.927456i | \(0.378009\pi\) | |||||||
\(230\) | 5283.03 | + | 6624.71i | 1.51458 | + | 1.89922i | ||||
\(231\) | 132.473 | + | 169.553i | 0.0377319 | + | 0.0482935i | ||||
\(232\) | −3554.62 | + | 4457.36i | −1.00592 | + | 1.26138i | ||||
\(233\) | −142.325 | + | 623.566i | −0.0400172 | + | 0.175327i | −0.990987 | − | 0.133956i | \(-0.957232\pi\) |
0.950970 | + | 0.309283i | \(0.100089\pi\) | |||||||
\(234\) | 888.972 | − | 1114.74i | 0.248350 | − | 0.311421i | ||||
\(235\) | 4612.36 | − | 2221.20i | 1.28033 | − | 0.616574i | ||||
\(236\) | −609.617 | − | 764.435i | −0.168147 | − | 0.210850i | ||||
\(237\) | −1139.77 | − | 548.886i | −0.312389 | − | 0.150439i | ||||
\(238\) | −630.204 | + | 774.300i | −0.171639 | + | 0.210884i | ||||
\(239\) | 4137.87 | − | 1992.69i | 1.11990 | − | 0.539316i | 0.220039 | − | 0.975491i | \(-0.429381\pi\) |
0.899862 | + | 0.436175i | \(0.143667\pi\) | |||||||
\(240\) | 5896.39 | + | 2839.55i | 1.58588 | + | 0.763718i | ||||
\(241\) | 429.263 | + | 1880.72i | 0.114735 | + | 0.502689i | 0.999339 | + | 0.0363456i | \(0.0115717\pi\) |
−0.884604 | + | 0.466343i | \(0.845571\pi\) | |||||||
\(242\) | 3622.39 | + | 1744.45i | 0.962214 | + | 0.463378i | ||||
\(243\) | −2357.28 | + | 2955.94i | −0.622304 | + | 0.780344i | ||||
\(244\) | −8.43621 | −0.00221341 | ||||||||
\(245\) | 4813.80 | + | 95.9208i | 1.25527 | + | 0.0250129i | ||||
\(246\) | 6404.33 | 1.65986 | ||||||||
\(247\) | 683.529 | − | 857.118i | 0.176081 | − | 0.220798i | ||||
\(248\) | 2174.24 | + | 1047.06i | 0.556712 | + | 0.268098i | ||||
\(249\) | −1852.91 | − | 8118.11i | −0.471579 | − | 2.06612i | ||||
\(250\) | 2028.03 | + | 976.650i | 0.513056 | + | 0.247075i | ||||
\(251\) | 1389.25 | − | 669.027i | 0.349357 | − | 0.168242i | −0.250972 | − | 0.967994i | \(-0.580750\pi\) |
0.600330 | + | 0.799753i | \(0.295036\pi\) | |||||||
\(252\) | −290.136 | − | 143.300i | −0.0725273 | − | 0.0358217i | ||||
\(253\) | −322.182 | − | 155.155i | −0.0800609 | − | 0.0385553i | ||||
\(254\) | 1449.94 | + | 1818.16i | 0.358177 | + | 0.449140i | ||||
\(255\) | 1458.22 | − | 702.240i | 0.358106 | − | 0.172455i | ||||
\(256\) | 1096.68 | − | 1375.20i | 0.267745 | − | 0.335742i | ||||
\(257\) | −542.083 | + | 2375.02i | −0.131573 | + | 0.576458i | 0.865561 | + | 0.500803i | \(0.166962\pi\) |
−0.997134 | + | 0.0756549i | \(0.975895\pi\) | |||||||
\(258\) | −5508.83 | + | 6907.86i | −1.32932 | + | 1.66692i | ||||
\(259\) | −595.659 | − | 5.93403i | −0.142905 | − | 0.00142364i | ||||
\(260\) | 322.254 | + | 404.094i | 0.0768667 | + | 0.0963878i | ||||
\(261\) | −3712.00 | + | 1787.60i | −0.880333 | + | 0.423946i | ||||
\(262\) | 725.800 | − | 3179.94i | 0.171145 | − | 0.749836i | ||||
\(263\) | −1630.23 | −0.382223 | −0.191111 | − | 0.981568i | \(-0.561209\pi\) | ||||
−0.191111 | + | 0.981568i | \(0.561209\pi\) | |||||||
\(264\) | −240.315 | −0.0560242 | ||||||||
\(265\) | −1282.16 | + | 5617.52i | −0.297218 | + | 1.30220i | ||||
\(266\) | −1749.91 | − | 864.292i | −0.403360 | − | 0.199222i | ||||
\(267\) | 875.282 | + | 3834.86i | 0.200623 | + | 0.878987i | ||||
\(268\) | −174.550 | − | 764.754i | −0.0397849 | − | 0.174309i | ||||
\(269\) | −3007.54 | − | 3771.34i | −0.681684 | − | 0.854805i | 0.313824 | − | 0.949481i | \(-0.398390\pi\) |
−0.995508 | + | 0.0946761i | \(0.969818\pi\) | |||||||
\(270\) | −2068.63 | − | 2593.97i | −0.466269 | − | 0.584682i | ||||
\(271\) | −1359.56 | − | 5956.61i | −0.304750 | − | 1.33520i | −0.862865 | − | 0.505434i | \(-0.831333\pi\) |
0.558115 | − | 0.829763i | \(-0.311525\pi\) | |||||||
\(272\) | −285.160 | − | 1249.37i | −0.0635674 | − | 0.278507i | ||||
\(273\) | 2326.31 | + | 2977.47i | 0.515732 | + | 0.660091i | ||||
\(274\) | −630.558 | + | 2762.65i | −0.139027 | + | 0.609117i | ||||
\(275\) | 129.230 | 0.0283378 | ||||||||
\(276\) | 1509.19 | 0.329139 | ||||||||
\(277\) | 1719.29 | − | 7532.69i | 0.372931 | − | 1.63392i | −0.345569 | − | 0.938393i | \(-0.612314\pi\) |
0.718501 | − | 0.695526i | \(-0.244829\pi\) | |||||||
\(278\) | −6604.67 | + | 3180.64i | −1.42490 | + | 0.686194i | ||||
\(279\) | 1087.33 | + | 1363.47i | 0.233322 | + | 0.292576i | ||||
\(280\) | −3394.50 | + | 4170.66i | −0.724502 | + | 0.890159i | ||||
\(281\) | 3222.89 | − | 4041.37i | 0.684204 | − | 0.857965i | −0.311530 | − | 0.950236i | \(-0.600841\pi\) |
0.995734 | + | 0.0922714i | \(0.0294127\pi\) | |||||||
\(282\) | 1591.54 | − | 6973.01i | 0.336082 | − | 1.47247i | ||||
\(283\) | −1821.87 | + | 2284.55i | −0.382681 | + | 0.479867i | −0.935446 | − | 0.353470i | \(-0.885001\pi\) |
0.552764 | + | 0.833338i | \(0.313573\pi\) | |||||||
\(284\) | −755.767 | + | 363.958i | −0.157910 | + | 0.0760456i | ||||
\(285\) | 1972.77 | + | 2473.77i | 0.410023 | + | 0.514153i | ||||
\(286\) | −154.156 | − | 74.2376i | −0.0318722 | − | 0.0153488i | ||||
\(287\) | −1404.46 | + | 5882.60i | −0.288860 | + | 1.20989i | ||||
\(288\) | 706.964 | − | 340.456i | 0.144647 | − | 0.0696582i | ||||
\(289\) | 4140.92 | + | 1994.16i | 0.842850 | + | 0.405895i | ||||
\(290\) | −2606.90 | − | 11421.6i | −0.527870 | − | 2.31275i | ||||
\(291\) | −3884.97 | − | 1870.90i | −0.782615 | − | 0.376888i | ||||
\(292\) | 399.678 | − | 501.181i | 0.0801007 | − | 0.100443i | ||||
\(293\) | −4559.33 | −0.909076 | −0.454538 | − | 0.890727i | \(-0.650196\pi\) | ||||
−0.454538 | + | 0.890727i | \(0.650196\pi\) | |||||||
\(294\) | 4298.03 | − | 5174.62i | 0.852606 | − | 1.02650i | ||||
\(295\) | −11741.8 | −2.31741 | ||||||||
\(296\) | 414.812 | − | 520.158i | 0.0814543 | − | 0.102141i | ||||
\(297\) | 126.154 | + | 60.7524i | 0.0246471 | + | 0.0118694i | ||||
\(298\) | 1379.43 | + | 6043.67i | 0.268148 | + | 1.17483i | ||||
\(299\) | −5657.73 | − | 2724.62i | −1.09430 | − | 0.526986i | ||||
\(300\) | −491.390 | + | 236.641i | −0.0945681 | + | 0.0455416i | ||||
\(301\) | −5137.03 | − | 6574.94i | −0.983698 | − | 1.25905i | ||||
\(302\) | −1446.46 | − | 696.579i | −0.275611 | − | 0.132727i | ||||
\(303\) | 1621.42 | + | 2033.19i | 0.307419 | + | 0.385491i | ||||
\(304\) | 2257.15 | − | 1086.99i | 0.425844 | − | 0.205076i | ||||
\(305\) | −63.1662 | + | 79.2079i | −0.0118586 | + | 0.0148703i | ||||
\(306\) | 179.304 | − | 785.581i | 0.0334971 | − | 0.146760i | ||||
\(307\) | −1184.65 | + | 1485.50i | −0.220232 | + | 0.276163i | −0.879658 | − | 0.475607i | \(-0.842228\pi\) |
0.659425 | + | 0.751770i | \(0.270800\pi\) | |||||||
\(308\) | −9.01774 | + | 37.7709i | −0.00166829 | + | 0.00698765i | ||||
\(309\) | 2992.38 | + | 3752.33i | 0.550908 | + | 0.690817i | ||||
\(310\) | −4467.83 | + | 2151.59i | −0.818566 | + | 0.394201i | ||||
\(311\) | 784.563 | − | 3437.39i | 0.143050 | − | 0.626742i | −0.851667 | − | 0.524083i | \(-0.824408\pi\) |
0.994717 | − | 0.102658i | \(-0.0327349\pi\) | |||||||
\(312\) | −4220.10 | −0.765756 | ||||||||
\(313\) | 9110.74 | 1.64527 | 0.822635 | − | 0.568570i | \(-0.192503\pi\) | ||||
0.822635 | + | 0.568570i | \(0.192503\pi\) | |||||||
\(314\) | 1730.51 | − | 7581.86i | 0.311014 | − | 1.36264i | ||||
\(315\) | −3517.85 | + | 1651.14i | −0.629233 | + | 0.295337i | ||||
\(316\) | −50.8037 | − | 222.586i | −0.00904409 | − | 0.0396247i | ||||
\(317\) | −298.650 | − | 1308.47i | −0.0529143 | − | 0.231833i | 0.941555 | − | 0.336859i | \(-0.109365\pi\) |
−0.994469 | + | 0.105026i | \(0.966507\pi\) | |||||||
\(318\) | 5019.22 | + | 6293.90i | 0.885106 | + | 1.10989i | ||||
\(319\) | 308.262 | + | 386.548i | 0.0541045 | + | 0.0678449i | ||||
\(320\) | −1302.30 | − | 5705.76i | −0.227503 | − | 0.996755i | ||||
\(321\) | 355.457 | + | 1557.36i | 0.0618059 | + | 0.270789i | ||||
\(322\) | −2596.12 | + | 10873.9i | −0.449304 | + | 1.88191i | ||||
\(323\) | 137.866 | − | 604.032i | 0.0237495 | − | 0.104053i | ||||
\(324\) | −1062.70 | −0.182218 | ||||||||
\(325\) | 2269.37 | 0.387330 | ||||||||
\(326\) | −390.040 | + | 1708.88i | −0.0662649 | + | 0.290325i | ||||
\(327\) | 2594.73 | − | 1249.56i | 0.438804 | − | 0.211317i | ||||
\(328\) | −4211.52 | − | 5281.08i | −0.708971 | − | 0.889021i | ||||
\(329\) | 6055.93 | + | 2991.06i | 1.01481 | + | 0.501223i | ||||
\(330\) | 307.892 | − | 386.085i | 0.0513604 | − | 0.0644039i | ||||
\(331\) | −1249.54 | + | 5474.61i | −0.207496 | + | 0.909099i | 0.758731 | + | 0.651404i | \(0.225820\pi\) |
−0.966227 | + | 0.257694i | \(0.917037\pi\) | |||||||
\(332\) | 936.975 | − | 1174.93i | 0.154889 | − | 0.194225i | ||||
\(333\) | 433.178 | − | 208.607i | 0.0712852 | − | 0.0343292i | ||||
\(334\) | −817.925 | − | 1025.65i | −0.133997 | − | 0.168026i | ||||
\(335\) | −8487.25 | − | 4087.24i | −1.38420 | − | 0.666597i | ||||
\(336\) | 1837.43 | + | 8436.86i | 0.298334 | + | 1.36985i | ||||
\(337\) | 6599.53 | − | 3178.17i | 1.06676 | − | 0.513726i | 0.183702 | − | 0.982982i | \(-0.441192\pi\) |
0.883062 | + | 0.469256i | \(0.155478\pi\) | |||||||
\(338\) | 3286.66 | + | 1582.77i | 0.528907 | + | 0.254708i | ||||
\(339\) | 995.058 | + | 4359.63i | 0.159422 | + | 0.698474i | ||||
\(340\) | 263.171 | + | 126.737i | 0.0419778 | + | 0.0202155i | ||||
\(341\) | 130.483 | − | 163.620i | 0.0207215 | − | 0.0259840i | ||||
\(342\) | 1575.26 | 0.249065 | ||||||||
\(343\) | 3810.51 | + | 5082.68i | 0.599850 | + | 0.800113i | ||||
\(344\) | 9318.93 | 1.46059 | ||||||||
\(345\) | 11300.1 | − | 14169.8i | 1.76341 | − | 2.21124i | ||||
\(346\) | 3800.14 | + | 1830.05i | 0.590454 | + | 0.284348i | ||||
\(347\) | 1564.72 | + | 6855.47i | 0.242070 | + | 1.06058i | 0.939129 | + | 0.343565i | \(0.111635\pi\) |
−0.697059 | + | 0.717014i | \(0.745508\pi\) | |||||||
\(348\) | −1879.97 | − | 905.348i | −0.289590 | − | 0.139459i | ||||
\(349\) | 2523.23 | − | 1215.12i | 0.387007 | − | 0.186373i | −0.230255 | − | 0.973130i | \(-0.573956\pi\) |
0.617262 | + | 0.786758i | \(0.288242\pi\) | |||||||
\(350\) | −859.730 | − | 3947.59i | −0.131299 | − | 0.602878i | ||||
\(351\) | 2215.34 | + | 1066.85i | 0.336884 | + | 0.162235i | ||||
\(352\) | −58.7096 | − | 73.6195i | −0.00888986 | − | 0.0111475i | ||||
\(353\) | −2118.82 | + | 1020.37i | −0.319472 | + | 0.153850i | −0.586746 | − | 0.809771i | \(-0.699591\pi\) |
0.267274 | + | 0.963621i | \(0.413877\pi\) | |||||||
\(354\) | −10228.2 | + | 12825.7i | −1.53566 | + | 1.92565i | ||||
\(355\) | −2241.59 | + | 9821.07i | −0.335131 | + | 1.46830i | ||||
\(356\) | −442.611 | + | 555.017i | −0.0658943 | + | 0.0826288i | ||||
\(357\) | 1914.60 | + | 945.635i | 0.283842 | + | 0.140191i | ||||
\(358\) | 8561.84 | + | 10736.2i | 1.26399 | + | 1.58499i | ||||
\(359\) | −3649.67 | + | 1757.59i | −0.536553 | + | 0.258390i | −0.682479 | − | 0.730905i | \(-0.739098\pi\) |
0.145926 | + | 0.989295i | \(0.453384\pi\) | |||||||
\(360\) | 965.794 | − | 4231.42i | 0.141394 | − | 0.619487i | ||||
\(361\) | −5647.78 | −0.823412 | ||||||||
\(362\) | 5695.82 | 0.826977 | ||||||||
\(363\) | 1913.61 | − | 8384.07i | 0.276690 | − | 1.21226i | ||||
\(364\) | −158.358 | + | 663.282i | −0.0228027 | + | 0.0955094i | ||||
\(365\) | −1713.01 | − | 7505.19i | −0.245652 | − | 1.07627i | ||||
\(366\) | 31.4964 | + | 137.995i | 0.00449820 | + | 0.0197079i | ||||
\(367\) | −5508.39 | − | 6907.31i | −0.783476 | − | 0.982448i | −0.999981 | − | 0.00616668i | \(-0.998037\pi\) |
0.216505 | − | 0.976282i | \(-0.430534\pi\) | |||||||
\(368\) | −8947.17 | − | 11219.4i | −1.26740 | − | 1.58927i | ||||
\(369\) | −1086.21 | − | 4759.00i | −0.153241 | − | 0.671393i | ||||
\(370\) | 304.216 | + | 1332.86i | 0.0427444 | + | 0.187275i | ||||
\(371\) | −6881.87 | + | 3230.08i | −0.963043 | + | 0.452014i | ||||
\(372\) | −196.538 | + | 861.090i | −0.0273926 | + | 0.120015i | ||||
\(373\) | 2260.81 | 0.313835 | 0.156917 | − | 0.987612i | \(-0.449844\pi\) | ||||
0.156917 | + | 0.987612i | \(0.449844\pi\) | |||||||
\(374\) | −96.6964 | −0.0133691 | ||||||||
\(375\) | 1071.36 | − | 4693.92i | 0.147532 | − | 0.646381i | ||||
\(376\) | −6796.63 | + | 3273.08i | −0.932206 | + | 0.448927i | ||||
\(377\) | 5413.28 | + | 6788.04i | 0.739518 | + | 0.927326i | ||||
\(378\) | 1016.54 | − | 4257.77i | 0.138320 | − | 0.579354i | ||||
\(379\) | −2084.99 | + | 2614.50i | −0.282583 | + | 0.354348i | −0.902783 | − | 0.430096i | \(-0.858480\pi\) |
0.620200 | + | 0.784443i | \(0.287051\pi\) | |||||||
\(380\) | −127.067 | + | 556.718i | −0.0171537 | + | 0.0751553i | ||||
\(381\) | 3101.32 | − | 3888.93i | 0.417022 | − | 0.522929i | ||||
\(382\) | 4614.00 | − | 2221.98i | 0.617991 | − | 0.297609i | ||||
\(383\) | 648.575 | + | 813.288i | 0.0865291 | + | 0.108504i | 0.823211 | − | 0.567735i | \(-0.192180\pi\) |
−0.736682 | + | 0.676239i | \(0.763609\pi\) | |||||||
\(384\) | −9817.42 | − | 4727.82i | −1.30467 | − | 0.628296i | ||||
\(385\) | 287.112 | + | 367.478i | 0.0380067 | + | 0.0486452i | ||||
\(386\) | −1353.31 | + | 651.720i | −0.178450 | + | 0.0859369i | ||||
\(387\) | 6067.50 | + | 2921.95i | 0.796972 | + | 0.383802i | ||||
\(388\) | −173.167 | − | 758.694i | −0.0226578 | − | 0.0992703i | ||||
\(389\) | 8242.59 | + | 3969.42i | 1.07433 | + | 0.517372i | 0.885501 | − | 0.464637i | \(-0.153815\pi\) |
0.188833 | + | 0.982009i | \(0.439529\pi\) | |||||||
\(390\) | 5406.80 | − | 6779.91i | 0.702010 | − | 0.880293i | ||||
\(391\) | −3548.89 | −0.459015 | ||||||||
\(392\) | −7093.45 | − | 141.346i | −0.913963 | − | 0.0182118i | ||||
\(393\) | −6976.59 | −0.895477 | ||||||||
\(394\) | 398.233 | − | 499.369i | 0.0509206 | − | 0.0638524i | ||||
\(395\) | −2470.26 | − | 1189.61i | −0.314664 | − | 0.151534i | ||||
\(396\) | −6.97432 | − | 30.5565i | −0.000885033 | − | 0.00387758i | ||||
\(397\) | 7843.72 | + | 3777.33i | 0.991599 | + | 0.477529i | 0.858079 | − | 0.513517i | \(-0.171658\pi\) |
0.133520 | + | 0.991046i | \(0.457372\pi\) | |||||||
\(398\) | 12398.8 | − | 5970.95i | 1.56155 | − | 0.752002i | ||||
\(399\) | −969.430 | + | 4060.47i | −0.121635 | + | 0.509468i | ||||
\(400\) | 4672.39 | + | 2250.11i | 0.584049 | + | 0.281263i | ||||
\(401\) | 3191.00 | + | 4001.39i | 0.397384 | + | 0.498304i | 0.939761 | − | 0.341831i | \(-0.111047\pi\) |
−0.542377 | + | 0.840135i | \(0.682476\pi\) | |||||||
\(402\) | −11857.7 | + | 5710.37i | −1.47117 | + | 0.708476i | ||||
\(403\) | 2291.37 | − | 2873.28i | 0.283229 | − | 0.355157i | ||||
\(404\) | −104.437 | + | 457.566i | −0.0128612 | + | 0.0563484i | ||||
\(405\) | −7956.95 | + | 9977.70i | −0.976256 | + | 1.22419i | ||||
\(406\) | 9757.07 | − | 11988.0i | 1.19270 | − | 1.46541i | ||||
\(407\) | −35.9731 | − | 45.1088i | −0.00438113 | − | 0.00549376i | ||||
\(408\) | −2148.78 | + | 1034.80i | −0.260736 | + | 0.125564i | ||||
\(409\) | −195.271 | + | 855.539i | −0.0236077 | + | 0.103432i | −0.985359 | − | 0.170492i | \(-0.945464\pi\) |
0.961751 | + | 0.273924i | \(0.0883215\pi\) | |||||||
\(410\) | 13880.3 | 1.67195 | ||||||||
\(411\) | 6061.10 | 0.727426 | ||||||||
\(412\) | −192.741 | + | 844.455i | −0.0230478 | + | 0.100979i | ||||
\(413\) | −9537.86 | − | 12207.6i | −1.13639 | − | 1.45447i | ||||
\(414\) | −2007.84 | − | 8796.91i | −0.238357 | − | 1.04431i | ||||
\(415\) | −4015.85 | − | 17594.6i | −0.475013 | − | 2.08117i | ||||
\(416\) | −1030.98 | − | 1292.81i | −0.121509 | − | 0.152368i | ||||
\(417\) | 9776.15 | + | 12258.9i | 1.14806 | + | 1.43962i | ||||
\(418\) | −42.0645 | − | 184.297i | −0.00492211 | − | 0.0215652i | ||||
\(419\) | 1519.21 | + | 6656.09i | 0.177132 | + | 0.776065i | 0.982946 | + | 0.183896i | \(0.0588711\pi\) |
−0.805814 | + | 0.592169i | \(0.798272\pi\) | |||||||
\(420\) | −1764.63 | − | 871.563i | −0.205013 | − | 0.101257i | ||||
\(421\) | −1302.16 | + | 5705.14i | −0.150744 | + | 0.660455i | 0.841925 | + | 0.539595i | \(0.181422\pi\) |
−0.992670 | + | 0.120860i | \(0.961435\pi\) | |||||||
\(422\) | −16857.2 | −1.94454 | ||||||||
\(423\) | −5451.52 | −0.626624 | ||||||||
\(424\) | 1889.35 | − | 8277.80i | 0.216404 | − | 0.948126i | ||||
\(425\) | 1155.51 | − | 556.466i | 0.131884 | − | 0.0635120i | ||||
\(426\) | 8775.05 | + | 11003.6i | 0.998011 | + | 1.25147i | ||||
\(427\) | −133.660 | − | 1.33154i | −0.0151481 | − | 0.000150908i | ||||
\(428\) | −179.747 | + | 225.396i | −0.0203000 | + | 0.0254554i | ||||
\(429\) | −81.4365 | + | 356.797i | −0.00916501 | + | 0.0401546i | ||||
\(430\) | −11939.4 | + | 14971.6i | −1.33900 | + | 1.67906i | ||||
\(431\) | 1289.29 | − | 620.892i | 0.144091 | − | 0.0693905i | −0.360449 | − | 0.932779i | \(-0.617376\pi\) |
0.504540 | + | 0.863388i | \(0.331662\pi\) | |||||||
\(432\) | 3503.36 | + | 4393.07i | 0.390174 | + | 0.489263i | ||||
\(433\) | −5359.96 | − | 2581.22i | −0.594881 | − | 0.286479i | 0.112117 | − | 0.993695i | \(-0.464237\pi\) |
−0.706998 | + | 0.707216i | \(0.749951\pi\) | |||||||
\(434\) | −5866.15 | − | 2897.33i | −0.648812 | − | 0.320452i | ||||
\(435\) | −22576.7 | + | 10872.4i | −2.48843 | + | 1.19837i | ||||
\(436\) | 468.283 | + | 225.513i | 0.0514373 | + | 0.0247709i | ||||
\(437\) | −1543.82 | − | 6763.93i | −0.168996 | − | 0.740418i | ||||
\(438\) | −9690.21 | − | 4666.56i | −1.05711 | − | 0.509079i | ||||
\(439\) | −3444.79 | + | 4319.62i | −0.374512 | + | 0.469623i | −0.932993 | − | 0.359894i | \(-0.882813\pi\) |
0.558481 | + | 0.829517i | \(0.311384\pi\) | |||||||
\(440\) | −520.841 | −0.0564321 | ||||||||
\(441\) | −4574.19 | − | 2316.18i | −0.493919 | − | 0.250101i | ||||
\(442\) | −1698.05 | −0.182733 | ||||||||
\(443\) | 2537.14 | − | 3181.47i | 0.272106 | − | 0.341211i | −0.626937 | − | 0.779070i | \(-0.715692\pi\) |
0.899044 | + | 0.437859i | \(0.144263\pi\) | |||||||
\(444\) | 219.387 | + | 105.651i | 0.0234496 | + | 0.0112927i | ||||
\(445\) | 1897.02 | + | 8311.39i | 0.202084 | + | 0.885388i | ||||
\(446\) | −10662.0 | − | 5134.57i | −1.13198 | − | 0.545132i | ||||
\(447\) | 11946.4 | − | 5753.06i | 1.26408 | − | 0.608748i | ||||
\(448\) | 4874.24 | − | 5988.74i | 0.514032 | − | 0.631565i | ||||
\(449\) | 7445.13 | + | 3585.39i | 0.782533 | + | 0.376848i | 0.782101 | − | 0.623152i | \(-0.214148\pi\) |
0.000432243 | 1.00000i | \(0.499862\pi\) | ||||||||
\(450\) | 2033.11 | + | 2549.44i | 0.212981 | + | 0.267070i | ||||
\(451\) | −527.771 | + | 254.161i | −0.0551037 | + | 0.0265365i | ||||
\(452\) | −503.180 | + | 630.967i | −0.0523619 | + | 0.0656597i | ||||
\(453\) | −764.127 | + | 3347.86i | −0.0792535 | + | 0.347232i | ||||
\(454\) | 1642.36 | − | 2059.46i | 0.169779 | − | 0.212897i | ||||
\(455\) | 5041.88 | + | 6453.16i | 0.519488 | + | 0.664898i | ||||
\(456\) | −2907.00 | − | 3645.27i | −0.298537 | − | 0.374354i | ||||
\(457\) | −8602.51 | + | 4142.75i | −0.880544 | + | 0.424048i | −0.818823 | − | 0.574046i | \(-0.805373\pi\) |
−0.0617208 | + | 0.998093i | \(0.519659\pi\) | |||||||
\(458\) | −305.911 | + | 1340.28i | −0.0312102 | + | 0.136741i | ||||
\(459\) | 1389.60 | 0.141310 | ||||||||
\(460\) | 3270.90 | 0.331536 | ||||||||
\(461\) | 586.352 | − | 2568.98i | 0.0592389 | − | 0.259543i | −0.936633 | − | 0.350312i | \(-0.886076\pi\) |
0.995872 | + | 0.0907695i | \(0.0289326\pi\) | |||||||
\(462\) | 651.501 | + | 6.49033i | 0.0656073 | + | 0.000653588i | ||||
\(463\) | −2191.34 | − | 9600.87i | −0.219957 | − | 0.963694i | −0.957509 | − | 0.288404i | \(-0.906875\pi\) |
0.737552 | − | 0.675290i | \(-0.235982\pi\) | |||||||
\(464\) | 4414.95 | + | 19343.2i | 0.441722 | + | 1.93531i | ||||
\(465\) | 6613.23 | + | 8292.73i | 0.659529 | + | 0.827024i | ||||
\(466\) | 1207.53 | + | 1514.19i | 0.120038 | + | 0.150523i | ||||
\(467\) | −317.813 | − | 1392.43i | −0.0314917 | − | 0.137974i | 0.956738 | − | 0.290950i | \(-0.0939714\pi\) |
−0.988230 | + | 0.152976i | \(0.951114\pi\) | |||||||
\(468\) | −122.474 | − | 536.593i | −0.0120969 | − | 0.0530000i | ||||
\(469\) | −2644.79 | − | 12144.0i | −0.260395 | − | 1.19564i | ||||
\(470\) | 3449.40 | − | 15112.8i | 0.338529 | − | 1.48319i | ||||
\(471\) | −16634.1 | −1.62731 | ||||||||
\(472\) | 17302.4 | 1.68730 | ||||||||
\(473\) | 179.830 | − | 787.888i | 0.0174812 | − | 0.0765901i | ||||
\(474\) | −3451.25 | + | 1662.03i | −0.334433 | + | 0.161054i | ||||
\(475\) | 1563.25 | + | 1960.26i | 0.151004 | + | 0.189353i | ||||
\(476\) | 82.0093 | + | 376.559i | 0.00789683 | + | 0.0362595i | ||||
\(477\) | 3825.65 | − | 4797.22i | 0.367221 | − | 0.460481i | ||||
\(478\) | 3094.54 | − | 13558.1i | 0.296111 | − | 1.29735i | ||||
\(479\) | −9478.98 | + | 11886.3i | −0.904187 | + | 1.13381i | 0.0863085 | + | 0.996268i | \(0.472493\pi\) |
−0.990495 | + | 0.137546i | \(0.956078\pi\) | |||||||
\(480\) | 4299.81 | − | 2070.68i | 0.408872 | − | 0.196903i | ||||
\(481\) | −631.711 | − | 792.141i | −0.0598827 | − | 0.0750905i | ||||
\(482\) | 5262.84 | + | 2534.45i | 0.497336 | + | 0.239504i | ||||
\(483\) | 23911.0 | + | 238.204i | 2.25256 | + | 0.0224403i | ||||
\(484\) | 1398.33 | − | 673.399i | 0.131323 | − | 0.0632418i | ||||
\(485\) | −8420.00 | − | 4054.86i | −0.788315 | − | 0.379632i | ||||
\(486\) | 2547.48 | + | 11161.3i | 0.237770 | + | 1.04174i | ||||
\(487\) | −5089.24 | − | 2450.85i | −0.473543 | − | 0.228046i | 0.181862 | − | 0.983324i | \(-0.441788\pi\) |
−0.655405 | + | 0.755278i | \(0.727502\pi\) | |||||||
\(488\) | 93.0796 | − | 116.718i | 0.00863426 | − | 0.0108270i | ||||
\(489\) | 3749.18 | 0.346715 | ||||||||
\(490\) | 9315.23 | − | 11215.1i | 0.858815 | − | 1.03397i | ||||
\(491\) | 2873.85 | 0.264144 | 0.132072 | − | 0.991240i | \(-0.457837\pi\) | ||||
0.132072 | + | 0.991240i | \(0.457837\pi\) | |||||||
\(492\) | 1541.41 | − | 1932.86i | 0.141244 | − | 0.177114i | ||||
\(493\) | 4420.80 | + | 2128.94i | 0.403860 | + | 0.194489i | ||||
\(494\) | −738.681 | − | 3236.37i | −0.0672770 | − | 0.294760i | ||||
\(495\) | −339.117 | − | 163.310i | −0.0307922 | − | 0.0148288i | ||||
\(496\) | 7566.57 | − | 3643.87i | 0.684978 | − | 0.329868i | ||||
\(497\) | −12031.5 | + | 5647.12i | −1.08589 | + | 0.509674i | ||||
\(498\) | −22717.0 | − | 10939.9i | −2.04412 | − | 0.984396i | ||||
\(499\) | 10527.8 | + | 13201.5i | 0.944469 | + | 1.18433i | 0.982728 | + | 0.185059i | \(0.0592475\pi\) |
−0.0382587 | + | 0.999268i | \(0.512181\pi\) | |||||||
\(500\) | 782.869 | − | 377.010i | 0.0700219 | − | 0.0337208i | ||||
\(501\) | −1749.49 | + | 2193.79i | −0.156011 | + | 0.195631i | ||||
\(502\) | 1038.96 | − | 4551.99i | 0.0923728 | − | 0.404712i | ||||
\(503\) | 7307.20 | − | 9162.93i | 0.647737 | − | 0.812237i | −0.344210 | − | 0.938893i | \(-0.611853\pi\) |
0.991947 | + | 0.126656i | \(0.0404245\pi\) | |||||||
\(504\) | 5183.79 | − | 2433.07i | 0.458143 | − | 0.215035i | ||||
\(505\) | 3514.14 | + | 4406.59i | 0.309658 | + | 0.388298i | ||||
\(506\) | −975.572 | + | 469.811i | −0.0857104 | + | 0.0412760i | ||||
\(507\) | 1736.25 | − | 7607.03i | 0.152090 | − | 0.666351i | ||||
\(508\) | 897.704 | 0.0784039 | ||||||||
\(509\) | −15726.4 | −1.36947 | −0.684734 | − | 0.728793i | \(-0.740082\pi\) | ||||
−0.684734 | + | 0.728793i | \(0.740082\pi\) | |||||||
\(510\) | 1090.54 | − | 4777.97i | 0.0946861 | − | 0.414847i | ||||
\(511\) | 6411.44 | − | 7877.42i | 0.555040 | − | 0.681950i | ||||
\(512\) | 1809.80 | + | 7929.25i | 0.156216 | + | 0.684427i | ||||
\(513\) | 604.499 | + | 2648.48i | 0.0520259 | + | 0.227940i | ||||
\(514\) | 4599.20 | + | 5767.22i | 0.394673 | + | 0.494905i | ||||
\(515\) | 6485.47 | + | 8132.52i | 0.554920 | + | 0.695848i | ||||
\(516\) | 758.953 | + | 3325.19i | 0.0647501 | + | 0.283689i | ||||
\(517\) | 145.573 | + | 637.796i | 0.0123835 | + | 0.0542558i | ||||
\(518\) | −1138.62 | + | 1398.96i | −0.0965790 | + | 0.118662i | ||||
\(519\) | 2007.51 | − | 8795.49i | 0.169788 | − | 0.743891i | ||||
\(520\) | −9146.33 | −0.771332 | ||||||||
\(521\) | 20419.7 | 1.71709 | 0.858544 | − | 0.512741i | \(-0.171370\pi\) | ||||
0.858544 | + | 0.512741i | \(0.171370\pi\) | |||||||
\(522\) | −2776.05 | + | 12162.7i | −0.232767 | + | 1.01982i | ||||
\(523\) | −81.5459 | + | 39.2704i | −0.00681788 | + | 0.00328332i | −0.437290 | − | 0.899321i | \(-0.644062\pi\) |
0.430472 | + | 0.902604i | \(0.358347\pi\) | |||||||
\(524\) | −785.035 | − | 984.402i | −0.0654473 | − | 0.0820684i | ||||
\(525\) | −7822.73 | + | 3671.68i | −0.650309 | + | 0.305229i | ||||
\(526\) | −3077.78 | + | 3859.41i | −0.255128 | + | 0.319921i | ||||
\(527\) | 462.164 | − | 2024.87i | 0.0382015 | − | 0.167371i | ||||
\(528\) | −521.437 | + | 653.861i | −0.0429784 | + | 0.0538933i | ||||
\(529\) | −24842.7 | + | 11963.6i | −2.04181 | + | 0.983284i | ||||
\(530\) | 10878.3 | + | 13640.9i | 0.891551 | + | 1.11797i | ||||
\(531\) | 11265.5 | + | 5425.16i | 0.920677 | + | 0.443375i | ||||
\(532\) | −682.019 | + | 320.113i | −0.0555814 | + | 0.0260877i | ||||
\(533\) | −9268.01 | + | 4463.24i | −0.753175 | + | 0.362710i | ||||
\(534\) | 10731.1 | + | 5167.83i | 0.869627 | + | 0.418790i | ||||
\(535\) | 770.392 | + | 3375.31i | 0.0622560 | + | 0.272761i | ||||
\(536\) | 12506.5 | + | 6022.83i | 1.00784 | + | 0.485348i | ||||
\(537\) | 18313.2 | − | 22964.0i | 1.47164 | − | 1.84538i | ||||
\(538\) | −14606.3 | −1.17049 | ||||||||
\(539\) | −148.835 | + | 597.003i | −0.0118938 | + | 0.0477082i | ||||
\(540\) | −1280.76 | −0.102065 | ||||||||
\(541\) | −11930.9 | + | 14960.9i | −0.948154 | + | 1.18895i | 0.0337242 | + | 0.999431i | \(0.489263\pi\) |
−0.981878 | + | 0.189516i | \(0.939308\pi\) | |||||||
\(542\) | −16668.4 | − | 8027.10i | −1.32098 | − | 0.636150i | ||||
\(543\) | −2710.97 | − | 11877.5i | −0.214252 | − | 0.938699i | ||||
\(544\) | −841.958 | − | 405.465i | −0.0663578 | − | 0.0319562i | ||||
\(545\) | 5623.62 | − | 2708.19i | 0.441999 | − | 0.212856i | ||||
\(546\) | 11440.8 | + | 113.975i | 0.896742 | + | 0.00893345i | ||||
\(547\) | 9591.88 | + | 4619.21i | 0.749761 | + | 0.361066i | 0.769422 | − | 0.638741i | \(-0.220544\pi\) |
−0.0196609 | + | 0.999807i | \(0.506259\pi\) | |||||||
\(548\) | 682.020 | + | 855.226i | 0.0531651 | + | 0.0666669i | ||||
\(549\) | 97.2006 | − | 46.8093i | 0.00755632 | − | 0.00363893i | ||||
\(550\) | 243.979 | − | 305.940i | 0.0189151 | − | 0.0237188i | ||||
\(551\) | −2134.50 | + | 9351.85i | −0.165032 | + | 0.723053i | ||||
\(552\) | −16651.4 | + | 20880.2i | −1.28393 | + | 1.61000i | ||||
\(553\) | −769.781 | − | 3534.57i | −0.0591943 | − | 0.271800i | ||||
\(554\) | −14587.0 | − | 18291.5i | −1.11867 | − | 1.40276i | ||||
\(555\) | 2634.62 | − | 1268.77i | 0.201502 | − | 0.0970381i | ||||
\(556\) | −629.688 | + | 2758.84i | −0.0480301 | + | 0.210434i | ||||
\(557\) | −3131.20 | −0.238192 | −0.119096 | − | 0.992883i | \(-0.538000\pi\) | ||||
−0.119096 | + | 0.992883i | \(0.538000\pi\) | |||||||
\(558\) | 5280.69 | 0.400626 | ||||||||
\(559\) | 3157.94 | − | 13835.8i | 0.238939 | − | 1.04686i | ||||
\(560\) | 3982.31 | + | 18285.4i | 0.300506 | + | 1.37982i | ||||
\(561\) | 46.0234 | + | 201.642i | 0.00346365 | + | 0.0151753i | ||||
\(562\) | −3482.93 | − | 15259.7i | −0.261421 | − | 1.14536i | ||||
\(563\) | −12576.5 | − | 15770.4i | −0.941450 | − | 1.18054i | −0.983405 | − | 0.181421i | \(-0.941930\pi\) |
0.0419556 | − | 0.999119i | \(-0.486641\pi\) | |||||||
\(564\) | −1721.44 | − | 2158.61i | −0.128520 | − | 0.161160i | ||||
\(565\) | 2156.62 | + | 9448.75i | 0.160583 | + | 0.703561i | ||||
\(566\) | 1968.87 | + | 8626.17i | 0.146215 | + | 0.640610i | ||||
\(567\) | −16836.9 | − | 167.731i | −1.24706 | − | 0.0124234i | ||||
\(568\) | 3303.14 | − | 14472.0i | 0.244008 | − | 1.06907i | ||||
\(569\) | −1181.07 | −0.0870180 | −0.0435090 | − | 0.999053i | \(-0.513854\pi\) | ||||
−0.0435090 | + | 0.999053i | \(0.513854\pi\) | |||||||
\(570\) | 9580.87 | 0.704032 | ||||||||
\(571\) | 341.655 | − | 1496.89i | 0.0250400 | − | 0.109707i | −0.960864 | − | 0.277022i | \(-0.910652\pi\) |
0.985904 | + | 0.167315i | \(0.0535096\pi\) | |||||||
\(572\) | −59.5078 | + | 28.6575i | −0.00434991 | + | 0.00209481i | ||||
\(573\) | −6829.59 | − | 8564.03i | −0.497923 | − | 0.624376i | ||||
\(574\) | 11274.9 | + | 14430.9i | 0.819872 | + | 1.04936i | ||||
\(575\) | 8954.35 | − | 11228.4i | 0.649430 | − | 0.814359i | ||||
\(576\) | −1386.80 | + | 6075.99i | −0.100319 | + | 0.439525i | ||||
\(577\) | 7192.90 | − | 9019.61i | 0.518968 | − | 0.650765i | −0.451422 | − | 0.892311i | \(-0.649083\pi\) |
0.970389 | + | 0.241546i | \(0.0776544\pi\) | |||||||
\(578\) | 12538.8 | − | 6038.36i | 0.902326 | − | 0.434537i | ||||
\(579\) | 2003.15 | + | 2511.87i | 0.143779 | + | 0.180294i | ||||
\(580\) | −4074.52 | − | 1962.18i | −0.291699 | − | 0.140475i | ||||
\(581\) | 15030.5 | − | 18467.2i | 1.07327 | − | 1.31867i | ||||
\(582\) | −11763.8 | + | 5665.13i | −0.837841 | + | 0.403483i | ||||
\(583\) | −663.404 | − | 319.478i | −0.0471276 | − | 0.0226954i | ||||
\(584\) | 2524.24 | + | 11059.4i | 0.178859 | + | 0.783632i | ||||
\(585\) | −5955.12 | − | 2867.83i | −0.420878 | − | 0.202684i | ||||
\(586\) | −8607.74 | + | 10793.8i | −0.606796 | + | 0.760898i | ||||
\(587\) | 5318.47 | 0.373964 | 0.186982 | − | 0.982363i | \(-0.440129\pi\) | ||||
0.186982 | + | 0.982363i | \(0.440129\pi\) | |||||||
\(588\) | −527.270 | − | 2542.60i | −0.0369800 | − | 0.178325i | ||||
\(589\) | 4060.31 | 0.284044 | ||||||||
\(590\) | −22167.8 | + | 27797.6i | −1.54684 | + | 1.93967i | ||||
\(591\) | −1230.88 | − | 592.760i | −0.0856711 | − | 0.0412570i | ||||
\(592\) | −515.210 | − | 2257.28i | −0.0357686 | − | 0.156712i | ||||
\(593\) | 1847.83 | + | 889.867i | 0.127962 | + | 0.0616230i | 0.496769 | − | 0.867883i | \(-0.334520\pi\) |
−0.368808 | + | 0.929506i | \(0.620234\pi\) | |||||||
\(594\) | 381.995 | − | 183.959i | 0.0263863 | − | 0.0127070i | ||||
\(595\) | 4149.57 | + | 2049.50i | 0.285909 | + | 0.141212i | ||||
\(596\) | 2156.01 | + | 1038.28i | 0.148178 | + | 0.0713585i | ||||
\(597\) | −18352.6 | − | 23013.4i | −1.25816 | − | 1.57768i | ||||
\(598\) | −17131.7 | + | 8250.19i | −1.17152 | + | 0.564173i | ||||
\(599\) | 3886.33 | − | 4873.30i | 0.265093 | − | 0.332417i | −0.631414 | − | 0.775446i | \(-0.717525\pi\) |
0.896507 | + | 0.443030i | \(0.146096\pi\) | |||||||
\(600\) | 2147.66 | − | 9409.51i | 0.146130 | − | 0.640236i | ||||
\(601\) | −7435.09 | + | 9323.31i | −0.504632 | + | 0.632788i | −0.967267 | − | 0.253760i | \(-0.918333\pi\) |
0.462635 | + | 0.886549i | \(0.346904\pi\) | |||||||
\(602\) | −25263.9 | − | 251.682i | −1.71043 | − | 0.0170395i | ||||
\(603\) | 6254.46 | + | 7842.85i | 0.422390 | + | 0.529661i | ||||
\(604\) | −558.368 | + | 268.896i | −0.0376154 | + | 0.0181146i | ||||
\(605\) | 4147.42 | − | 18171.0i | 0.278705 | − | 1.22109i | ||||
\(606\) | 7874.51 | 0.527855 | ||||||||
\(607\) | 20453.8 | 1.36770 | 0.683851 | − | 0.729622i | \(-0.260304\pi\) | ||||
0.683851 | + | 0.729622i | \(0.260304\pi\) | |||||||
\(608\) | 406.524 | − | 1781.10i | 0.0271163 | − | 0.118804i | ||||
\(609\) | −29642.6 | − | 14640.7i | −1.97238 | − | 0.974172i | ||||
\(610\) | 68.2629 | + | 299.079i | 0.00453096 | + | 0.0198514i | ||||
\(611\) | 2556.36 | + | 11200.1i | 0.169262 | + | 0.741586i | ||||
\(612\) | −193.937 | − | 243.190i | −0.0128096 | − | 0.0160627i | ||||
\(613\) | −12454.3 | − | 15617.2i | −0.820595 | − | 1.02899i | −0.998985 | − | 0.0450339i | \(-0.985660\pi\) |
0.178390 | − | 0.983960i | \(-0.442911\pi\) | |||||||
\(614\) | 1280.23 | + | 5609.06i | 0.0841465 | + | 0.368670i | ||||
\(615\) | −6606.43 | − | 28944.6i | −0.433165 | − | 1.89782i | ||||
\(616\) | −423.079 | − | 541.503i | −0.0276726 | − | 0.0354185i | ||||
\(617\) | 277.670 | − | 1216.55i | 0.0181176 | − | 0.0793785i | −0.965061 | − | 0.262026i | \(-0.915609\pi\) |
0.983179 | + | 0.182647i | \(0.0584666\pi\) | |||||||
\(618\) | 14532.7 | 0.945940 | ||||||||
\(619\) | −20732.2 | −1.34620 | −0.673100 | − | 0.739551i | \(-0.735038\pi\) | ||||
−0.673100 | + | 0.739551i | \(0.735038\pi\) | |||||||
\(620\) | −425.962 | + | 1866.26i | −0.0275920 | + | 0.120889i | ||||
\(621\) | 14019.7 | − | 6751.55i | 0.905946 | − | 0.436281i | ||||
\(622\) | −6656.48 | − | 8346.96i | −0.429100 | − | 0.538075i | ||||
\(623\) | −7100.15 | + | 8723.60i | −0.456600 | + | 0.561001i | ||||
\(624\) | −9156.78 | + | 11482.2i | −0.587443 | + | 0.736630i | ||||
\(625\) | 4325.85 | − | 18952.8i | 0.276854 | − | 1.21298i | ||||
\(626\) | 17200.5 | − | 21568.7i | 1.09820 | − | 1.37709i | ||||
\(627\) | −364.294 | + | 175.435i | −0.0232033 | + | 0.0111741i | ||||
\(628\) | −1871.74 | − | 2347.09i | −0.118934 | − | 0.149139i | ||||
\(629\) | −515.892 | − | 248.441i | −0.0327026 | − | 0.0157488i | ||||
\(630\) | −2732.57 | + | 11445.4i | −0.172807 | + | 0.723803i | ||||
\(631\) | 5121.70 | − | 2466.48i | 0.323125 | − | 0.155609i | −0.265288 | − | 0.964169i | \(-0.585467\pi\) |
0.588413 | + | 0.808560i | \(0.299753\pi\) | |||||||
\(632\) | 3640.09 | + | 1752.98i | 0.229106 | + | 0.110332i | ||||
\(633\) | 8023.33 | + | 35152.5i | 0.503790 | + | 2.20725i | ||||
\(634\) | −3661.50 | − | 1763.29i | −0.229364 | − | 0.110456i | ||||
\(635\) | 6721.57 | − | 8428.58i | 0.420059 | − | 0.526737i | ||||
\(636\) | 3107.56 | 0.193747 | ||||||||
\(637\) | −2613.64 | + | 10483.8i | −0.162569 | + | 0.652091i | ||||
\(638\) | 1497.09 | 0.0929004 | ||||||||
\(639\) | 6688.35 | − | 8386.93i | 0.414064 | − | 0.519220i | ||||
\(640\) | −21277.6 | − | 10246.7i | −1.31417 | − | 0.632871i | ||||
\(641\) | 6192.30 | + | 27130.2i | 0.381562 | + | 1.67173i | 0.692590 | + | 0.721331i | \(0.256470\pi\) |
−0.311028 | + | 0.950401i | \(0.600673\pi\) | |||||||
\(642\) | 4357.97 | + | 2098.69i | 0.267906 | + | 0.129017i | ||||
\(643\) | −24619.6 | + | 11856.2i | −1.50996 | + | 0.727158i | −0.991761 | − | 0.128102i | \(-0.959112\pi\) |
−0.518199 | + | 0.855260i | \(0.673397\pi\) | |||||||
\(644\) | 2656.95 | + | 3400.66i | 0.162575 | + | 0.208082i | ||||
\(645\) | 36903.0 | + | 17771.6i | 2.25280 | + | 1.08489i | ||||
\(646\) | −1169.70 | − | 1466.76i | −0.0712404 | − | 0.0893326i | ||||
\(647\) | −4391.59 | + | 2114.88i | −0.266849 | + | 0.128508i | −0.562524 | − | 0.826781i | \(-0.690170\pi\) |
0.295675 | + | 0.955288i | \(0.404455\pi\) | |||||||
\(648\) | 11725.1 | − | 14702.8i | 0.710810 | − | 0.891328i | ||||
\(649\) | 333.889 | − | 1462.86i | 0.0201946 | − | 0.0884783i | ||||
\(650\) | 4284.43 | − | 5372.51i | 0.258537 | − | 0.324196i | ||||
\(651\) | −3249.78 | + | 13611.7i | −0.195651 | + | 0.819487i | ||||
\(652\) | 421.873 | + | 529.012i | 0.0253402 | + | 0.0317756i | ||||
\(653\) | 9007.89 | − | 4337.97i | 0.539826 | − | 0.259966i | −0.144043 | − | 0.989571i | \(-0.546010\pi\) |
0.683869 | + | 0.729605i | \(0.260296\pi\) | |||||||
\(654\) | 1940.49 | − | 8501.84i | 0.116023 | − | 0.508331i | ||||
\(655\) | −15120.6 | −0.901998 | ||||||||
\(656\) | −23507.2 | −1.39909 | ||||||||
\(657\) | −1824.16 | + | 7992.18i | −0.108322 | + | 0.474589i | ||||
\(658\) | 18514.2 | − | 8689.86i | 1.09690 | − | 0.514842i | ||||
\(659\) | 4689.88 | + | 20547.7i | 0.277226 | + | 1.21460i | 0.901285 | + | 0.433227i | \(0.142625\pi\) |
−0.624059 | + | 0.781377i | \(0.714518\pi\) | |||||||
\(660\) | −42.4184 | − | 185.847i | −0.00250172 | − | 0.0109607i | ||||
\(661\) | −3847.30 | − | 4824.36i | −0.226388 | − | 0.283882i | 0.655645 | − | 0.755069i | \(-0.272397\pi\) |
−0.882033 | + | 0.471188i | \(0.843825\pi\) | |||||||
\(662\) | 10601.5 | + | 13293.9i | 0.622416 | + | 0.780486i | ||||
\(663\) | 808.202 | + | 3540.96i | 0.0473423 | + | 0.207420i | ||||
\(664\) | 5917.62 | + | 25926.8i | 0.345856 | + | 1.51529i | ||||
\(665\) | −2101.07 | + | 8800.35i | −0.122520 | + | 0.513178i | ||||
\(666\) | 323.955 | − | 1419.34i | 0.0188484 | − | 0.0825801i | ||||
\(667\) | 54945.3 | 3.18964 | ||||||||
\(668\) | −506.405 | −0.0293314 | ||||||||
\(669\) | −5632.47 | + | 24677.5i | −0.325507 | + | 1.42614i | ||||
\(670\) | −25699.5 | + | 12376.2i | −1.48188 | + | 0.713636i | ||||
\(671\) | −8.07199 | − | 10.1220i | −0.000464405 | − | 0.000582345i | ||||
\(672\) | 5645.55 | + | 2788.37i | 0.324080 | + | 0.160065i | ||||
\(673\) | −5069.35 | + | 6356.76i | −0.290355 | + | 0.364094i | −0.905519 | − | 0.424305i | \(-0.860518\pi\) |
0.615164 | + | 0.788399i | \(0.289090\pi\) | |||||||
\(674\) | 4935.52 | − | 21623.9i | 0.282061 | − | 1.23579i | ||||
\(675\) | −3506.17 | + | 4396.59i | −0.199930 | + | 0.250704i | ||||
\(676\) | 1268.73 | − | 610.987i | 0.0721852 | − | 0.0347626i | ||||
\(677\) | −7258.04 | − | 9101.29i | −0.412037 | − | 0.516678i | 0.531898 | − | 0.846808i | \(-0.321479\pi\) |
−0.943935 | + | 0.330130i | \(0.892907\pi\) | |||||||
\(678\) | 12199.6 | + | 5875.02i | 0.691037 | + | 0.332786i | ||||
\(679\) | −2623.84 | − | 12047.8i | −0.148297 | − | 0.680929i | ||||
\(680\) | −4657.11 | + | 2242.74i | −0.262635 | + | 0.126478i | ||||
\(681\) | −5076.29 | − | 2444.61i | −0.285644 | − | 0.137559i | ||||
\(682\) | −141.011 | − | 617.810i | −0.00791729 | − | 0.0346879i | ||||
\(683\) | 15997.3 | + | 7703.88i | 0.896220 | + | 0.431597i | 0.824522 | − | 0.565830i | \(-0.191444\pi\) |
0.0716978 | + | 0.997426i | \(0.477158\pi\) | |||||||
\(684\) | 379.137 | − | 475.422i | 0.0211939 | − | 0.0265764i | ||||
\(685\) | 13136.4 | 0.732723 | ||||||||
\(686\) | 19226.7 | + | 574.769i | 1.07009 | + | 0.0319895i | ||||
\(687\) | 2940.50 | 0.163300 | ||||||||
\(688\) | 20220.2 | − | 25355.4i | 1.12048 | − | 1.40504i | ||||
\(689\) | −11649.8 | − | 5610.26i | −0.644155 | − | 0.310209i | ||||
\(690\) | −12211.8 | − | 53503.5i | −0.673763 | − | 2.95195i | ||||
\(691\) | −20733.7 | − | 9984.82i | −1.14146 | − | 0.549697i | −0.235001 | − | 0.971995i | \(-0.575509\pi\) |
−0.906457 | + | 0.422298i | \(0.861224\pi\) | |||||||
\(692\) | 1466.94 | − | 706.443i | 0.0805851 | − | 0.0388077i | ||||
\(693\) | −105.675 | − | 485.226i | −0.00579261 | − | 0.0265977i | ||||
\(694\) | 19183.7 | + | 9238.39i | 1.04929 | + | 0.505309i | ||||
\(695\) | 21188.1 | + | 26569.0i | 1.15642 | + | 1.45010i | ||||
\(696\) | 33268.2 | − | 16021.1i | 1.81182 | − | 0.872528i | ||||
\(697\) | −3624.65 | + | 4545.16i | −0.196977 | + | 0.247002i | ||||
\(698\) | 1887.02 | − | 8267.56i | 0.102328 | − | 0.448326i | ||||
\(699\) | 2582.82 | − | 3238.76i | 0.139759 | − | 0.175252i | ||||
\(700\) | −1398.32 | − | 690.641i | −0.0755024 | − | 0.0372911i | ||||
\(701\) | 21734.7 | + | 27254.4i | 1.17105 | + | 1.46845i | 0.854175 | + | 0.519986i | \(0.174063\pi\) |
0.316877 | + | 0.948467i | \(0.397366\pi\) | |||||||
\(702\) | 6708.09 | − | 3230.45i | 0.360656 | − | 0.173683i | ||||
\(703\) | 249.089 | − | 1091.33i | 0.0133635 | − | 0.0585495i | ||||
\(704\) | 747.888 | 0.0400385 | ||||||||
\(705\) | −33156.6 | −1.77127 | ||||||||
\(706\) | −1584.58 | + | 6942.50i | −0.0844709 | + | 0.370091i | ||||
\(707\) | −1726.87 | + | 7233.01i | −0.0918608 | + | 0.384760i | ||||
\(708\) | 1409.14 | + | 6173.84i | 0.0748004 | + | 0.327722i | ||||
\(709\) | 268.160 | + | 1174.88i | 0.0142044 | + | 0.0622337i | 0.981533 | − | 0.191291i | \(-0.0612673\pi\) |
−0.967329 | + | 0.253524i | \(0.918410\pi\) | |||||||
\(710\) | 19018.4 | + | 23848.3i | 1.00528 | + | 1.26058i | ||||
\(711\) | 1820.40 | + | 2282.70i | 0.0960199 | + | 0.120405i | ||||
\(712\) | −2795.39 | − | 12247.4i | −0.147137 | − | 0.644649i | ||||
\(713\) | −5175.29 | − | 22674.4i | −0.271832 | − | 1.19097i | ||||
\(714\) | 5853.35 | − | 2747.33i | 0.306801 | − | 0.144000i | ||||
\(715\) | −176.499 | + | 773.295i | −0.00923176 | + | 0.0404470i | ||||
\(716\) | 5300.92 | 0.276683 | ||||||||
\(717\) | −29745.6 | −1.54933 | ||||||||
\(718\) | −2729.44 | + | 11958.5i | −0.141869 | + | 0.621567i | ||||
\(719\) | 24290.3 | − | 11697.6i | 1.25991 | − | 0.606741i | 0.319760 | − | 0.947499i | \(-0.396398\pi\) |
0.940151 | + | 0.340757i | \(0.110683\pi\) | |||||||
\(720\) | −9417.46 | − | 11809.1i | −0.487456 | − | 0.611250i | ||||
\(721\) | −3187.00 | + | 13348.8i | −0.164619 | + | 0.689507i | ||||
\(722\) | −10662.7 | + | 13370.6i | −0.549617 | + | 0.689198i | ||||
\(723\) | 2780.22 | − | 12180.9i | 0.143012 | − | 0.626575i | ||||
\(724\) | 1370.88 | − | 1719.03i | 0.0703706 | − | 0.0882420i | ||||
\(725\) | −17890.1 | + | 8615.43i | −0.916445 | + | 0.441337i | ||||
\(726\) | −16235.7 | − | 20358.9i | −0.829976 | − | 1.04076i | ||||
\(727\) | 17330.5 | + | 8345.92i | 0.884116 | + | 0.425768i | 0.820126 | − | 0.572183i | \(-0.193903\pi\) |
0.0639896 | + | 0.997951i | \(0.479618\pi\) | |||||||
\(728\) | −7429.54 | − | 9509.16i | −0.378238 | − | 0.484111i | ||||
\(729\) | −54.0516 | + | 26.0299i | −0.00274611 | + | 0.00132246i | ||||
\(730\) | −21001.8 | − | 10114.0i | −1.06481 | − | 0.512786i | ||||
\(731\) | −1784.69 | − | 7819.25i | −0.0903000 | − | 0.395630i | ||||
\(732\) | 49.2281 | + | 23.7070i | 0.00248569 | + | 0.00119704i | ||||
\(733\) | −9688.63 | + | 12149.2i | −0.488209 | + | 0.612195i | −0.963524 | − | 0.267620i | \(-0.913763\pi\) |
0.475315 | + | 0.879816i | \(0.342334\pi\) | |||||||
\(734\) | −26751.9 | −1.34527 | ||||||||
\(735\) | −27820.6 | − | 14087.2i | −1.39616 | − | 0.706959i | ||||
\(736\) | −10464.5 | −0.524087 | ||||||||
\(737\) | 750.554 | − | 941.165i | 0.0375129 | − | 0.0470397i | ||||
\(738\) | −13317.2 | − | 6413.21i | −0.664243 | − | 0.319883i | ||||
\(739\) | −83.1264 | − | 364.201i | −0.00413783 | − | 0.0181290i | 0.972817 | − | 0.231576i | \(-0.0743881\pi\) |
−0.976955 | + | 0.213447i | \(0.931531\pi\) | |||||||
\(740\) | 475.482 | + | 228.980i | 0.0236204 | + | 0.0113750i | ||||
\(741\) | −6397.25 | + | 3080.75i | −0.317151 | + | 0.152732i | ||||
\(742\) | −5345.65 | + | 22390.3i | −0.264481 | + | 1.10778i | ||||
\(743\) | −13286.2 | − | 6398.28i | −0.656019 | − | 0.315922i | 0.0760985 | − | 0.997100i | \(-0.475754\pi\) |
−0.732118 | + | 0.681178i | \(0.761468\pi\) | |||||||
\(744\) | −9745.03 | − | 12219.9i | −0.480202 | − | 0.602154i | ||||
\(745\) | 25891.7 | − | 12468.8i | 1.27328 | − | 0.613181i | ||||
\(746\) | 4268.27 | − | 5352.24i | 0.209481 | − | 0.262680i | ||||
\(747\) | −4276.43 | + | 18736.3i | −0.209460 | + | 0.917702i | ||||
\(748\) | −23.2731 | + | 29.1835i | −0.00113763 | + | 0.00142654i | ||||
\(749\) | −2883.42 | + | 3542.71i | −0.140665 | + | 0.172827i | ||||
\(750\) | −9089.72 | − | 11398.1i | −0.442546 | − | 0.554935i | ||||
\(751\) | −23431.5 | + | 11284.0i | −1.13852 | + | 0.548282i | −0.905566 | − | 0.424205i | \(-0.860553\pi\) |
−0.232954 | + | 0.972488i | \(0.574839\pi\) | |||||||
\(752\) | −5841.78 | + | 25594.5i | −0.283282 | + | 1.24114i | ||||
\(753\) | −9986.80 | −0.483319 | ||||||||
\(754\) | 26289.9 | 1.26979 | ||||||||
\(755\) | −1656.11 | + | 7255.90i | −0.0798306 | + | 0.349761i | ||||
\(756\) | −1040.36 | − | 1331.56i | −0.0500494 | − | 0.0640588i | ||||
\(757\) | −3611.43 | − | 15822.7i | −0.173394 | − | 0.759690i | −0.984585 | − | 0.174908i | \(-0.944037\pi\) |
0.811190 | − | 0.584782i | \(-0.198820\pi\) | |||||||
\(758\) | 2253.23 | + | 9872.02i | 0.107969 | + | 0.473045i | ||||
\(759\) | 1444.03 | + | 1810.76i | 0.0690580 | + | 0.0865960i | ||||
\(760\) | −6300.43 | − | 7900.49i | −0.300711 | − | 0.377080i | ||||
\(761\) | −5857.72 | − | 25664.4i | −0.279030 | − | 1.22251i | −0.899022 | − | 0.437904i | \(-0.855721\pi\) |
0.619991 | − | 0.784609i | \(-0.287136\pi\) | |||||||
\(762\) | −3351.55 | − | 14684.1i | −0.159336 | − | 0.698096i | ||||
\(763\) | 7383.68 | + | 3646.85i | 0.350337 | + | 0.173034i | ||||
\(764\) | 439.898 | − | 1927.32i | 0.0208311 | − | 0.0912670i | ||||
\(765\) | −3735.43 | −0.176542 | ||||||||
\(766\) | 3149.85 | 0.148575 | ||||||||
\(767\) | 5863.31 | − | 25688.9i | 0.276026 | − | 1.20935i | ||||
\(768\) | −10264.0 | + | 4942.90i | −0.482254 | + | 0.232241i | ||||
\(769\) | 10067.3 | + | 12623.9i | 0.472087 | + | 0.591978i | 0.959681 | − | 0.281093i | \(-0.0906968\pi\) |
−0.487594 | + | 0.873070i | \(0.662125\pi\) | |||||||
\(770\) | 1412.02 | + | 14.0667i | 0.0660851 | + | 0.000658348i | ||||
\(771\) | 9837.39 | − | 12335.7i | 0.459513 | − | 0.576212i | ||||
\(772\) | −129.024 | + | 565.293i | −0.00601514 | + | 0.0263541i | ||||
\(773\) | 11301.9 | − | 14172.1i | 0.525874 | − | 0.659425i | −0.445971 | − | 0.895048i | \(-0.647141\pi\) |
0.971845 | + | 0.235623i | \(0.0757129\pi\) | |||||||
\(774\) | 18372.5 | − | 8847.72i | 0.853211 | − | 0.410885i | ||||
\(775\) | 5240.43 | + | 6571.29i | 0.242893 | + | 0.304578i | ||||
\(776\) | 12407.4 | + | 5975.11i | 0.573970 | + | 0.276410i | ||||
\(777\) | 3459.19 | + | 1708.52i | 0.159714 | + | 0.0788838i | ||||
\(778\) | 24958.7 | − | 12019.5i | 1.15015 | − | 0.553881i | ||||
\(779\) | −10239.5 | − | 4931.10i | −0.470949 | − | 0.226797i | ||||
\(780\) | −744.896 | − | 3263.60i | −0.0341943 | − | 0.149815i | ||||
\(781\) | −1159.82 | − | 558.541i | −0.0531392 | − | 0.0255905i | ||||
\(782\) | −6700.08 | + | 8401.63i | −0.306387 | + | 0.384197i | ||||
\(783\) | −21514.4 | −0.981942 | ||||||||
\(784\) | −15776.0 | + | 18993.5i | −0.718658 | + | 0.865229i | ||||
\(785\) | −36051.6 | −1.63916 | ||||||||
\(786\) | −13171.4 | + | 16516.4i | −0.597719 | + | 0.749516i | ||||
\(787\) | 2018.11 | + | 971.871i | 0.0914078 | + | 0.0440197i | 0.479029 | − | 0.877799i | \(-0.340989\pi\) |
−0.387621 | + | 0.921819i | \(0.626703\pi\) | |||||||
\(788\) | −54.8647 | − | 240.378i | −0.00248030 | − | 0.0108669i | ||||
\(789\) | 9512.95 | + | 4581.20i | 0.429240 | + | 0.206711i | ||||
\(790\) | −7479.99 | + | 3602.17i | −0.336868 | + | 0.162227i | ||||
\(791\) | −8071.76 | + | 9917.37i | −0.362830 | + | 0.445791i | ||||
\(792\) | 499.711 | + | 240.648i | 0.0224198 | + | 0.0107968i | ||||
\(793\) | −141.750 | − | 177.748i | −0.00634763 | − | 0.00795968i | ||||
\(794\) | 23750.9 | − | 11437.8i | 1.06157 | − | 0.511226i | ||||
\(795\) | 23267.9 | − | 29177.1i | 1.03802 | − | 1.30164i | ||||
\(796\) | 1182.10 | − | 5179.13i | 0.0526363 | − | 0.230615i | ||||
\(797\) | −14041.9 | + | 17608.0i | −0.624077 | + | 0.782568i | −0.988912 | − | 0.148504i | \(-0.952554\pi\) |
0.364835 | + | 0.931072i | \(0.381126\pi\) | |||||||
\(798\) | 7782.52 | + | 9960.93i | 0.345236 | + | 0.441871i | ||||
\(799\) | 4047.99 | + | 5076.02i | 0.179234 | + | 0.224752i | ||||
\(800\) | 3407.24 | − | 1640.84i | 0.150580 | − | 0.0725156i | ||||
\(801\) | 2020.11 | − | 8850.69i | 0.0891101 | − | 0.390417i | ||||
\(802\) | 15497.3 | 0.682331 | ||||||||
\(803\) | 983.750 | 0.0432326 | ||||||||
\(804\) | −1130.51 | + | 4953.10i | −0.0495897 | + | 0.217267i | ||||
\(805\) | 51822.8 | + | 516.266i | 2.26896 | + | 0.0226037i | ||||
\(806\) | −2476.25 | − | 10849.2i | −0.108216 | − | 0.474126i | ||||
\(807\) | 6951.99 | + | 30458.6i | 0.303249 | + | 1.32862i | ||||
\(808\) | −5178.32 | − | 6493.41i | −0.225461 | − | 0.282719i | ||||
\(809\) | −10191.3 | − | 12779.5i | −0.442901 | − | 0.555381i | 0.509404 | − | 0.860528i | \(-0.329866\pi\) |
−0.952305 | + | 0.305147i | \(0.901295\pi\) | |||||||
\(810\) | 8598.97 | + | 37674.5i | 0.373008 | + | 1.63426i | ||||
\(811\) | 7039.63 | + | 30842.6i | 0.304803 | + | 1.33543i | 0.862783 | + | 0.505574i | \(0.168719\pi\) |
−0.557981 | + | 0.829854i | \(0.688424\pi\) | |||||||
\(812\) | −1269.70 | − | 5830.03i | −0.0548741 | − | 0.251963i | ||||
\(813\) | −8805.49 | + | 38579.4i | −0.379855 | + | 1.66425i | ||||
\(814\) | −174.705 | −0.00752263 | ||||||||
\(815\) | 8125.70 | 0.349240 | ||||||||
\(816\) | −1846.90 | + | 8091.81i | −0.0792335 | + | 0.347144i | ||||
\(817\) | 14126.6 | − | 6803.00i | 0.604928 | − | 0.291318i | ||||
\(818\) | 1656.74 | + | 2077.49i | 0.0708149 | + | 0.0887991i | ||||
\(819\) | −1855.73 | − | 8520.89i | −0.0791752 | − | 0.363546i | ||||
\(820\) | 3340.73 | − | 4189.14i | 0.142272 | − | 0.178404i | ||||
\(821\) | −3605.22 | + | 15795.5i | −0.153256 | + | 0.671457i | 0.838670 | + | 0.544639i | \(0.183333\pi\) |
−0.991926 | + | 0.126818i | \(0.959524\pi\) | |||||||
\(822\) | 11443.0 | − | 14349.0i | 0.485547 | − | 0.608857i | ||||
\(823\) | −9449.77 | + | 4550.77i | −0.400241 | + | 0.192746i | −0.623166 | − | 0.782090i | \(-0.714154\pi\) |
0.222925 | + | 0.974836i | \(0.428440\pi\) | |||||||
\(824\) | −9556.77 | − | 11983.8i | −0.404036 | − | 0.506646i | ||||
\(825\) | −754.102 | − | 363.156i | −0.0318236 | − | 0.0153254i | ||||
\(826\) | −46907.2 | − | 467.295i | −1.97592 | − | 0.0196844i | ||||
\(827\) | 27675.7 | − | 13327.9i | 1.16370 | − | 0.560407i | 0.250577 | − | 0.968097i | \(-0.419380\pi\) |
0.913121 | + | 0.407690i | \(0.133665\pi\) | |||||||
\(828\) | −3138.20 | − | 1511.28i | −0.131715 | − | 0.0634307i | ||||
\(829\) | −3821.00 | − | 16740.9i | −0.160083 | − | 0.701370i | −0.989714 | − | 0.143058i | \(-0.954306\pi\) |
0.829631 | − | 0.558312i | \(-0.188551\pi\) | |||||||
\(830\) | −49235.1 | − | 23710.4i | −2.05901 | − | 0.991565i | ||||
\(831\) | −31200.6 | + | 39124.3i | −1.30245 | + | 1.63322i | ||||
\(832\) | 13133.4 | 0.547259 | ||||||||
\(833\) | 1239.89 | + | 5978.99i | 0.0515721 | + | 0.248691i | ||||
\(834\) | 47478.5 | 1.97128 | ||||||||
\(835\) | −3791.71 | + | 4754.66i | −0.157147 | + | 0.197056i | ||||
\(836\) | −65.7458 | − | 31.6615i | −0.00271994 | − | 0.00130985i | ||||
\(837\) | 2026.44 | + | 8878.41i | 0.0836845 | + | 0.366646i | ||||
\(838\) | 18625.8 | + | 8969.71i | 0.767801 | + | 0.369754i | ||||
\(839\) | −10141.6 | + | 4883.92i | −0.417313 | + | 0.200968i | −0.630745 | − | 0.775991i | \(-0.717250\pi\) |
0.213431 | + | 0.976958i | \(0.431536\pi\) | |||||||
\(840\) | 31528.2 | − | 14798.1i | 1.29503 | − | 0.607837i | ||||
\(841\) | −46470.8 | − | 22379.2i | −1.90540 | − | 0.917592i | ||||
\(842\) | 11047.9 | + | 13853.7i | 0.452182 | + | 0.567018i | ||||
\(843\) | −30163.5 | + | 14526.0i | −1.23237 | + | 0.593477i | ||||
\(844\) | −4057.23 | + | 5087.60i | −0.165469 | + | 0.207491i | ||||
\(845\) | 3763.03 | − | 16486.9i | 0.153198 | − | 0.671203i | ||||
\(846\) | −10292.1 | + | 12905.9i | −0.418263 | + | 0.524485i | ||||
\(847\) | 22260.8 | − | 10448.3i | 0.903058 | − | 0.423860i | ||||
\(848\) | −18423.1 | − | 23101.8i | −0.746052 | − | 0.935519i | ||||
\(849\) | 17051.1 | − | 8211.39i | 0.689273 | − | 0.331936i | ||||
\(850\) | 864.161 | − | 3786.14i | 0.0348711 | − | 0.152780i | ||||
\(851\) | −6411.92 | −0.258282 | ||||||||
\(852\) | 5432.93 | 0.218461 | ||||||||
\(853\) | 1227.72 | − | 5378.98i | 0.0492805 | − | 0.215912i | −0.944292 | − | 0.329108i | \(-0.893252\pi\) |
0.993573 | + | 0.113197i | \(0.0361090\pi\) | |||||||
\(854\) | −255.494 | + | 313.912i | −0.0102375 | + | 0.0125783i | ||||
\(855\) | −1624.97 | − | 7119.46i | −0.0649974 | − | 0.284772i | ||||
\(856\) | −1135.22 | − | 4973.74i | −0.0453284 | − | 0.198597i | ||||
\(857\) | −5075.90 | − | 6364.98i | −0.202321 | − | 0.253703i | 0.670311 | − | 0.742080i | \(-0.266161\pi\) |
−0.872633 | + | 0.488377i | \(0.837589\pi\) | |||||||
\(858\) | 690.933 | + | 866.402i | 0.0274919 | + | 0.0344738i | ||||
\(859\) | −4874.43 | − | 21356.3i | −0.193613 | − | 0.848274i | −0.974640 | − | 0.223777i | \(-0.928161\pi\) |
0.781027 | − | 0.624497i | \(-0.214696\pi\) | |||||||
\(860\) | 1644.90 | + | 7206.77i | 0.0652216 | + | 0.285754i | ||||
\(861\) | 24726.5 | − | 30380.2i | 0.978718 | − | 1.20250i | ||||
\(862\) | 964.210 | − | 4224.48i | 0.0380988 | − | 0.166922i | ||||
\(863\) | 16547.6 | 0.652709 | 0.326355 | − | 0.945247i | \(-0.394180\pi\) | ||||
0.326355 | + | 0.945247i | \(0.394180\pi\) | |||||||
\(864\) | 4097.49 | 0.161342 | ||||||||
\(865\) | 4350.94 | − | 19062.7i | 0.171025 | − | 0.749308i | ||||
\(866\) | −16230.1 | + | 7815.98i | −0.636859 | + | 0.306695i | ||||
\(867\) | −18559.8 | − | 23273.2i | −0.727016 | − | 0.911649i | ||||
\(868\) | −2286.31 | + | 1073.10i | −0.0894035 | + | 0.0419625i | ||||
\(869\) | 218.453 | − | 273.931i | 0.00852762 | − | 0.0106933i | ||||
\(870\) | −16884.2 | + | 73974.3i | −0.657961 | + | 2.88272i | ||||
\(871\) | 13180.2 | − | 16527.5i | 0.512739 | − | 0.642954i | ||||
\(872\) | −8286.78 | + | 3990.70i | −0.321819 | + | 0.154980i | ||||
\(873\) | 6204.91 | + | 7780.71i | 0.240555 | + | 0.301646i | ||||
\(874\) | −18927.6 | − | 9115.03i | −0.732533 | − | 0.352769i | ||||
\(875\) | 12463.0 | − | 5849.62i | 0.481514 | − | 0.226004i | ||||
\(876\) | −3740.65 | + | 1801.40i | −0.144275 | + | 0.0694791i | ||||
\(877\) | −21184.9 | − | 10202.1i | −0.815694 | − | 0.392817i | −0.0209636 | − | 0.999780i | \(-0.506673\pi\) |
−0.794730 | + | 0.606963i | \(0.792388\pi\) | |||||||
\(878\) | 3722.73 | + | 16310.4i | 0.143094 | + | 0.626934i | ||||
\(879\) | 26605.2 | + | 12812.4i | 1.02090 | + | 0.491640i | ||||
\(880\) | −1130.12 | + | 1417.13i | −0.0432914 | + | 0.0542857i | ||||
\(881\) | 27427.3 | 1.04886 | 0.524431 | − | 0.851453i | \(-0.324278\pi\) | ||||
0.524431 | + | 0.851453i | \(0.324278\pi\) | |||||||
\(882\) | −14119.1 | + | 6456.11i | −0.539019 | + | 0.246472i | ||||
\(883\) | −32964.4 | −1.25633 | −0.628166 | − | 0.778080i | \(-0.716194\pi\) | ||||
−0.628166 | + | 0.778080i | \(0.716194\pi\) | |||||||
\(884\) | −408.691 | + | 512.482i | −0.0155495 | + | 0.0194984i | ||||
\(885\) | 68517.4 | + | 32996.3i | 2.60247 | + | 1.25328i | ||||
\(886\) | −2741.85 | − | 12012.8i | −0.103967 | − | 0.455507i | ||||
\(887\) | 17108.2 | + | 8238.90i | 0.647620 | + | 0.311877i | 0.728703 | − | 0.684830i | \(-0.240124\pi\) |
−0.0810830 | + | 0.996707i | \(0.525838\pi\) | |||||||
\(888\) | −3882.29 | + | 1869.61i | −0.146713 | + | 0.0706532i | ||||
\(889\) | 14222.8 | + | 141.690i | 0.536579 | + | 0.00534547i | ||||
\(890\) | 23257.8 | + | 11200.4i | 0.875960 | + | 0.421840i | ||||
\(891\) | −1016.82 | − | 1275.05i | −0.0382319 | − | 0.0479413i | ||||
\(892\) | −4115.80 | + | 1982.06i | −0.154492 | + | 0.0743996i | ||||
\(893\) | −7913.60 | + | 9923.34i | −0.296549 | + | 0.371861i | ||||
\(894\) | 8934.18 | − | 39143.2i | 0.334232 | − | 1.46437i | ||||
\(895\) | 39690.7 | − | 49770.6i | 1.48236 | − | 1.85882i | ||||
\(896\) | −6630.51 | − | 30445.0i | −0.247221 | − | 1.13515i | ||||
\(897\) | 25358.2 | + | 31798.1i | 0.943906 | + | 1.18362i | ||||
\(898\) | 22544.0 | − | 10856.6i | 0.837753 | − | 0.403441i | ||||
\(899\) | −7155.40 | + | 31349.8i | −0.265457 | + | 1.16304i | ||||
\(900\) | 1258.76 | 0.0466209 | ||||||||
\(901\) | −7307.50 | −0.270198 | ||||||||
\(902\) | −394.698 | + | 1729.28i | −0.0145698 | + | 0.0638347i | ||||
\(903\) | 11499.7 | + | 52802.7i | 0.423794 | + | 1.94592i | ||||
\(904\) | −3177.92 | − | 13923.4i | −0.116920 | − | 0.512261i | ||||
\(905\) | −5875.55 | − | 25742.5i | −0.215812 | − | 0.945535i | ||||
\(906\) | 6483.09 | + | 8129.54i | 0.237733 | + | 0.298108i | ||||
\(907\) | 16307.0 | + | 20448.3i | 0.596983 | + | 0.748594i | 0.984904 | − | 0.173099i | \(-0.0553781\pi\) |
−0.387921 | + | 0.921693i | \(0.626807\pi\) | |||||||
\(908\) | −226.268 | − | 991.346i | −0.00826980 | − | 0.0362324i | ||||
\(909\) | −1335.56 | − | 5851.48i | −0.0487324 | − | 0.213511i | ||||
\(910\) | 24795.9 | + | 247.020i | 0.903272 | + | 0.00899851i | ||||
\(911\) | 11449.1 | − | 50161.9i | 0.416385 | − | 1.82430i | −0.135995 | − | 0.990709i | \(-0.543423\pi\) |
0.552380 | − | 0.833592i | \(-0.313720\pi\) | |||||||
\(912\) | −16225.8 | −0.589135 | ||||||||
\(913\) | 2306.23 | 0.0835981 | ||||||||
\(914\) | −6433.46 | + | 28186.8i | −0.232823 | + | 1.02006i | ||||
\(915\) | 591.182 | − | 284.698i | 0.0213594 | − | 0.0102862i | ||||
\(916\) | 330.877 | + | 414.907i | 0.0119350 | + | 0.0149661i | ||||
\(917\) | −12282.4 | − | 15720.4i | −0.442312 | − | 0.566121i | ||||
\(918\) | 2623.48 | − | 3289.74i | 0.0943223 | − | 0.118276i | ||||
\(919\) | −1014.33 | + | 4444.05i | −0.0364086 | + | 0.159517i | −0.989864 | − | 0.142017i | \(-0.954641\pi\) |
0.953456 | + | 0.301533i | \(0.0974985\pi\) | |||||||
\(920\) | −36089.0 | + | 45254.2i | −1.29328 | + | 1.62172i | ||||
\(921\) | 11087.3 | − | 5339.35i | 0.396676 | − | 0.191029i | ||||
\(922\) | −4974.80 | − | 6238.20i | −0.177697 | − | 0.222824i | ||||
\(923\) | −20367.3 | − | 9808.36i | −0.726324 | − | 0.349779i | ||||
\(924\) | 158.763 | − | 195.064i | 0.00565252 | − | 0.00694496i | ||||
\(925\) | 2087.72 | − | 1005.39i | 0.0742094 | − | 0.0357374i | ||||
\(926\) | −26866.2 | − | 12938.1i | −0.953432 | − | 0.459149i | ||||
\(927\) | −2464.83 | − | 10799.1i | −0.0873307 | − | 0.382621i | ||||
\(928\) | 13035.5 | + | 6277.57i | 0.461112 | + | 0.222060i | ||||
\(929\) | 9595.50 | − | 12032.4i | 0.338878 | − | 0.424940i | −0.582968 | − | 0.812495i | \(-0.698109\pi\) |
0.921847 | + | 0.387555i | \(0.126680\pi\) | |||||||
\(930\) | 32117.5 | 1.13245 | ||||||||
\(931\) | −10856.2 | + | 4964.09i | −0.382166 | + | 0.174749i | ||||
\(932\) | 747.621 | 0.0262759 | ||||||||
\(933\) | −14237.8 | + | 17853.6i | −0.499597 | + | 0.626474i | ||||
\(934\) | −3896.44 | − | 1876.43i | −0.136505 | − | 0.0657373i | ||||
\(935\) | 99.7477 | + | 437.023i | 0.00348888 | + | 0.0152858i | ||||
\(936\) | 8775.26 | + | 4225.94i | 0.306441 | + | 0.147574i | ||||
\(937\) | −9906.38 | + | 4770.66i | −0.345387 | + | 0.166329i | −0.598532 | − | 0.801099i | \(-0.704249\pi\) |
0.253146 | + | 0.967428i | \(0.418535\pi\) | |||||||
\(938\) | −33742.9 | − | 16665.8i | −1.17457 | − | 0.580126i | ||||
\(939\) | −53164.2 | − | 25602.5i | −1.84765 | − | 0.889783i | ||||
\(940\) | −3730.91 | − | 4678.42i | −0.129456 | − | 0.162333i | ||||
\(941\) | −19398.7 | + | 9341.93i | −0.672030 | + | 0.323633i | −0.738595 | − | 0.674150i | \(-0.764510\pi\) |
0.0665649 | + | 0.997782i | \(0.478796\pi\) | |||||||
\(942\) | −31404.2 | + | 39379.7i | −1.08620 | + | 1.36206i | ||||
\(943\) | −14485.9 | + | 63467.0i | −0.500241 | + | 2.19170i | ||||
\(944\) | 37542.7 | − | 47077.1i | 1.29440 | − | 1.62312i | ||||
\(945\) | −20291.8 | − | 202.149i | −0.698509 | − | 0.00695863i | ||||
\(946\) | −1525.74 | − | 1913.21i | −0.0524376 | − | 0.0657547i | ||||
\(947\) | 40481.5 | − | 19494.9i | 1.38909 | − | 0.668952i | 0.418176 | − | 0.908366i | \(-0.362670\pi\) |
0.970918 | + | 0.239414i | \(0.0769553\pi\) | |||||||
\(948\) | −329.042 | + | 1441.63i | −0.0112730 | + | 0.0493902i | ||||
\(949\) | 17275.3 | 0.590917 | ||||||||
\(950\) | 7592.03 | 0.259282 | ||||||||
\(951\) | −1934.27 | + | 8474.60i | −0.0659549 | + | 0.288967i | ||||
\(952\) | −6114.67 | − | 3020.07i | −0.208170 | − | 0.102816i | ||||
\(953\) | 3496.21 | + | 15317.9i | 0.118839 | + | 0.520666i | 0.998946 | + | 0.0458921i | \(0.0146130\pi\) |
−0.880108 | + | 0.474774i | \(0.842530\pi\) | |||||||
\(954\) | −4134.33 | − | 18113.7i | −0.140308 | − | 0.614730i | ||||
\(955\) | −14801.9 | − | 18561.0i | −0.501549 | − | 0.628923i | ||||
\(956\) | −3347.09 | − | 4197.12i | −0.113235 | − | 0.141992i | ||||
\(957\) | −712.552 | − | 3121.90i | −0.0240685 | − | 0.105451i | ||||
\(958\) | 10243.8 | + | 44881.0i | 0.345472 | + | 1.51361i | ||||
\(959\) | 10670.7 | + | 13657.5i | 0.359305 | + | 0.459879i | ||||
\(960\) | −8434.66 | + | 36954.6i | −0.283570 | + | 1.24240i | ||||
\(961\) | −16179.8 | −0.543110 | ||||||||
\(962\) | −3067.95 | −0.102822 | ||||||||
\(963\) | 820.380 | − | 3594.32i | 0.0274521 | − | 0.120276i | ||||
\(964\) | 2031.58 | − | 978.358i | 0.0678764 | − | 0.0326875i | ||||
\(965\) | 4341.49 | + | 5444.05i | 0.144826 | + | 0.181606i | ||||
\(966\) | 45706.3 | − | 56157.1i | 1.52234 | − | 1.87042i | ||||
\(967\) | −5846.96 | + | 7331.85i | −0.194442 | + | 0.243823i | −0.869489 | − | 0.493952i | \(-0.835552\pi\) |
0.675047 | + | 0.737775i | \(0.264123\pi\) | |||||||
\(968\) | −6111.50 | + | 26776.2i | −0.202925 | + | 0.889070i | ||||
\(969\) | −2501.91 | + | 3137.30i | −0.0829443 | + | 0.104009i | ||||
\(970\) | −25495.9 | + | 12278.2i | −0.843942 | + | 0.406421i | ||||
\(971\) | 1381.56 | + | 1732.43i | 0.0456606 | + | 0.0572566i | 0.804137 | − | 0.594443i | \(-0.202628\pi\) |
−0.758477 | + | 0.651700i | \(0.774056\pi\) | |||||||
\(972\) | 3981.66 | + | 1917.47i | 0.131391 | + | 0.0632744i | ||||
\(973\) | −10412.0 | + | 43610.6i | −0.343055 | + | 1.43689i | ||||
\(974\) | −15410.3 | + | 7421.21i | −0.506959 | + | 0.244138i | ||||
\(975\) | −13242.5 | − | 6377.27i | −0.434975 | − | 0.209473i | ||||
\(976\) | −115.608 | − | 506.511i | −0.00379151 | − | 0.0166117i | ||||
\(977\) | −39242.7 | − | 18898.3i | −1.28504 | − | 0.618844i | −0.338361 | − | 0.941016i | \(-0.609872\pi\) |
−0.946681 | + | 0.322173i | \(0.895587\pi\) | |||||||
\(978\) | 7078.22 | − | 8875.80i | 0.231428 | − | 0.290201i | ||||
\(979\) | −1089.42 | −0.0355650 | ||||||||
\(980\) | −1142.77 | − | 5510.65i | −0.0372493 | − | 0.179624i | ||||
\(981\) | −6646.76 | −0.216325 | ||||||||
\(982\) | 5425.64 | − | 6803.54i | 0.176313 | − | 0.221089i | ||||
\(983\) | 17033.0 | + | 8202.68i | 0.552665 | + | 0.266149i | 0.689305 | − | 0.724471i | \(-0.257916\pi\) |
−0.136640 | + | 0.990621i | \(0.543630\pi\) | |||||||
\(984\) | 9735.01 | + | 42651.9i | 0.315387 | + | 1.38180i | ||||
\(985\) | −2667.72 | − | 1284.70i | −0.0862949 | − | 0.0415574i | ||||
\(986\) | 13386.3 | − | 6446.48i | 0.432358 | − | 0.208213i | ||||
\(987\) | −26933.0 | − | 34471.9i | −0.868579 | − | 1.11170i | ||||
\(988\) | −1154.54 | − | 555.998i | −0.0371770 | − | 0.0179035i | ||||
\(989\) | −55996.6 | − | 70217.5i | −1.80039 | − | 2.25762i | ||||
\(990\) | −1026.85 | + | 494.505i | −0.0329651 | + | 0.0158752i | ||||
\(991\) | 16413.1 | − | 20581.4i | 0.526114 | − | 0.659726i | −0.445781 | − | 0.895142i | \(-0.647074\pi\) |
0.971895 | + | 0.235416i | \(0.0756454\pi\) | |||||||
\(992\) | 1362.77 | − | 5970.70i | 0.0436170 | − | 0.191099i | ||||
\(993\) | 22676.0 | − | 28434.7i | 0.724672 | − | 0.908710i | ||||
\(994\) | −9345.76 | + | 39144.8i | −0.298219 | + | 1.24909i | ||||
\(995\) | −39776.0 | − | 49877.6i | −1.26732 | − | 1.58917i | ||||
\(996\) | −8769.28 | + | 4223.06i | −0.278981 | + | 0.134350i | ||||
\(997\) | −5120.57 | + | 22434.7i | −0.162658 | + | 0.712652i | 0.826149 | + | 0.563452i | \(0.190527\pi\) |
−0.988807 | + | 0.149200i | \(0.952330\pi\) | |||||||
\(998\) | 51129.0 | 1.62170 | ||||||||
\(999\) | 2510.65 | 0.0795131 |
(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 | 49.4.e.a.43.10 | yes | 78 | |
49.8 | even | 7 | inner | 49.4.e.a.8.10 | ✓ | 78 | |
49.20 | odd | 14 | 2401.4.a.c.1.28 | 39 | |||
49.29 | even | 7 | 2401.4.a.d.1.28 | 39 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.4.e.a.8.10 | ✓ | 78 | 49.8 | even | 7 | inner | |
49.4.e.a.43.10 | yes | 78 | 1.1 | even | 1 | trivial | |
2401.4.a.c.1.28 | 39 | 49.20 | odd | 14 | |||
2401.4.a.d.1.28 | 39 | 49.29 | even | 7 |