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 | 31.6 | ||
Character | \(\chi\) | \(=\) | 36.31 |
Dual form | 36.5.f.a.7.6 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.73046 | + | 2.92312i | −0.682614 | + | 0.730779i | ||||
\(3\) | 8.98168 | + | 0.573987i | 0.997964 | + | 0.0637764i | ||||
\(4\) | −1.08921 | − | 15.9629i | −0.0680757 | − | 0.997680i | ||||
\(5\) | 19.5394 | − | 33.8433i | 0.781578 | − | 1.35373i | −0.149444 | − | 0.988770i | \(-0.547749\pi\) |
0.931022 | − | 0.364962i | \(-0.118918\pi\) | |||||||
\(6\) | −26.2019 | + | 24.6872i | −0.727831 | + | 0.685757i | ||||
\(7\) | −10.5700 | + | 6.10260i | −0.215715 | + | 0.124543i | −0.603964 | − | 0.797011i | \(-0.706413\pi\) |
0.388250 | + | 0.921554i | \(0.373080\pi\) | |||||||
\(8\) | 49.6354 | + | 40.4021i | 0.775553 | + | 0.631282i | ||||
\(9\) | 80.3411 | + | 10.3107i | 0.991865 | + | 0.127293i | ||||
\(10\) | 45.5763 | + | 149.524i | 0.455763 | + | 1.49524i | ||||
\(11\) | 96.1446 | − | 55.5091i | 0.794583 | − | 0.458753i | −0.0469902 | − | 0.998895i | \(-0.514963\pi\) |
0.841574 | + | 0.540142i | \(0.181630\pi\) | |||||||
\(12\) | −0.620447 | − | 143.999i | −0.00430866 | − | 0.999991i | ||||
\(13\) | −104.491 | + | 180.984i | −0.618290 | + | 1.07091i | 0.371507 | + | 0.928430i | \(0.378841\pi\) |
−0.989798 | + | 0.142480i | \(0.954492\pi\) | |||||||
\(14\) | 11.0224 | − | 47.5603i | 0.0562366 | − | 0.242654i | ||||
\(15\) | 194.923 | − | 292.754i | 0.866323 | − | 1.30113i | ||||
\(16\) | −253.627 | + | 34.7739i | −0.990731 | + | 0.135835i | ||||
\(17\) | 93.3790 | 0.323111 | 0.161555 | − | 0.986864i | \(-0.448349\pi\) | ||||
0.161555 | + | 0.986864i | \(0.448349\pi\) | |||||||
\(18\) | −249.507 | + | 206.693i | −0.770084 | + | 0.637942i | ||||
\(19\) | − | 26.8894i | − | 0.0744859i | −0.999306 | − | 0.0372429i | \(-0.988142\pi\) | ||
0.999306 | − | 0.0372429i | \(-0.0118575\pi\) | |||||||
\(20\) | −561.519 | − | 275.043i | −1.40380 | − | 0.687608i | ||||
\(21\) | −98.4393 | + | 48.7446i | −0.223218 | + | 0.110532i | ||||
\(22\) | −100.259 | + | 432.607i | −0.207147 | + | 0.893816i | ||||
\(23\) | −757.577 | − | 437.387i | −1.43209 | − | 0.826819i | −0.434812 | − | 0.900521i | \(-0.643185\pi\) |
−0.997280 | + | 0.0737029i | \(0.976518\pi\) | |||||||
\(24\) | 422.619 | + | 391.368i | 0.733713 | + | 0.679459i | ||||
\(25\) | −451.080 | − | 781.293i | −0.721728 | − | 1.25007i | ||||
\(26\) | −243.728 | − | 799.608i | −0.360545 | − | 1.18285i | ||||
\(27\) | 715.679 | + | 138.723i | 0.981728 | + | 0.190292i | ||||
\(28\) | 108.928 | + | 162.081i | 0.138939 | + | 0.206736i | ||||
\(29\) | 650.809 | + | 1127.23i | 0.773851 | + | 1.34035i | 0.935438 | + | 0.353491i | \(0.115005\pi\) |
−0.161587 | + | 0.986858i | \(0.551661\pi\) | |||||||
\(30\) | 323.527 | + | 1369.13i | 0.359474 | + | 1.52126i | ||||
\(31\) | 593.492 | + | 342.653i | 0.617577 | + | 0.356558i | 0.775925 | − | 0.630825i | \(-0.217283\pi\) |
−0.158348 | + | 0.987383i | \(0.550617\pi\) | |||||||
\(32\) | 590.870 | − | 836.330i | 0.577022 | − | 0.816729i | ||||
\(33\) | 895.401 | − | 443.379i | 0.822223 | − | 0.407143i | ||||
\(34\) | −254.967 | + | 272.958i | −0.220560 | + | 0.236122i | ||||
\(35\) | 476.966i | 0.389360i | ||||||||
\(36\) | 77.0808 | − | 1293.71i | 0.0594759 | − | 0.998230i | ||||
\(37\) | −1760.25 | −1.28579 | −0.642897 | − | 0.765953i | \(-0.722268\pi\) | ||||
−0.642897 | + | 0.765953i | \(0.722268\pi\) | |||||||
\(38\) | 78.6008 | + | 73.4203i | 0.0544327 | + | 0.0508451i | ||||
\(39\) | −1042.39 | + | 1565.56i | −0.685330 | + | 1.02930i | ||||
\(40\) | 2337.19 | − | 890.392i | 1.46074 | − | 0.556495i | ||||
\(41\) | −39.0421 | + | 67.6229i | −0.0232255 | + | 0.0402278i | −0.877405 | − | 0.479751i | \(-0.840727\pi\) |
0.854179 | + | 0.519979i | \(0.174060\pi\) | |||||||
\(42\) | 126.298 | − | 420.844i | 0.0715977 | − | 0.238574i | ||||
\(43\) | −1405.46 | + | 811.442i | −0.760118 | + | 0.438855i | −0.829338 | − | 0.558747i | \(-0.811282\pi\) |
0.0692198 | + | 0.997601i | \(0.477949\pi\) | |||||||
\(44\) | −990.807 | − | 1474.28i | −0.511780 | − | 0.761510i | ||||
\(45\) | 1918.77 | − | 2517.54i | 0.947541 | − | 1.24323i | ||||
\(46\) | 3347.06 | − | 1020.22i | 1.58179 | − | 0.482144i | ||||
\(47\) | −1999.54 | + | 1154.43i | −0.905177 | + | 0.522604i | −0.878876 | − | 0.477050i | \(-0.841706\pi\) |
−0.0263007 | + | 0.999654i | \(0.508373\pi\) | |||||||
\(48\) | −2297.96 | + | 166.749i | −0.997378 | + | 0.0723737i | ||||
\(49\) | −1126.02 | + | 1950.32i | −0.468978 | + | 0.812294i | ||||
\(50\) | 3515.46 | + | 814.729i | 1.40619 | + | 0.325892i | ||||
\(51\) | 838.700 | + | 53.5984i | 0.322453 | + | 0.0206068i | ||||
\(52\) | 3002.84 | + | 1470.85i | 1.11052 | + | 0.543953i | ||||
\(53\) | −1313.48 | −0.467598 | −0.233799 | − | 0.972285i | \(-0.575116\pi\) | ||||
−0.233799 | + | 0.972285i | \(0.575116\pi\) | |||||||
\(54\) | −2359.63 | + | 1713.24i | −0.809202 | + | 0.587530i | ||||
\(55\) | − | 4338.47i | − | 1.43420i | ||||||
\(56\) | −771.205 | − | 124.146i | −0.245920 | − | 0.0395872i | ||||
\(57\) | 15.4342 | − | 241.512i | 0.00475044 | − | 0.0743342i | ||||
\(58\) | −5072.04 | − | 1175.47i | −1.50774 | − | 0.349427i | ||||
\(59\) | 4818.38 | + | 2781.89i | 1.38419 | + | 0.799164i | 0.992653 | − | 0.120997i | \(-0.0386091\pi\) |
0.391540 | + | 0.920161i | \(0.371942\pi\) | |||||||
\(60\) | −4885.52 | − | 2792.66i | −1.35709 | − | 0.775738i | ||||
\(61\) | −1090.13 | − | 1888.16i | −0.292967 | − | 0.507433i | 0.681543 | − | 0.731778i | \(-0.261309\pi\) |
−0.974510 | + | 0.224345i | \(0.927976\pi\) | |||||||
\(62\) | −2622.12 | + | 799.247i | −0.682132 | + | 0.207921i | ||||
\(63\) | −912.129 | + | 381.305i | −0.229813 | + | 0.0960708i | ||||
\(64\) | 831.345 | + | 4010.75i | 0.202965 | + | 0.979186i | ||||
\(65\) | 4083.39 | + | 7072.65i | 0.966484 | + | 1.67400i | ||||
\(66\) | −1148.81 | + | 3827.99i | −0.263730 | + | 0.878785i | ||||
\(67\) | −213.077 | − | 123.020i | −0.0474665 | − | 0.0274048i | 0.476079 | − | 0.879403i | \(-0.342058\pi\) |
−0.523545 | + | 0.851998i | \(0.675391\pi\) | |||||||
\(68\) | −101.709 | − | 1490.60i | −0.0219960 | − | 0.322361i | ||||
\(69\) | −6553.25 | − | 4363.31i | −1.37644 | − | 0.916469i | ||||
\(70\) | −1394.23 | − | 1302.33i | −0.284536 | − | 0.265783i | ||||
\(71\) | − | 4608.15i | − | 0.914134i | −0.889432 | − | 0.457067i | \(-0.848900\pi\) | ||
0.889432 | − | 0.457067i | \(-0.151100\pi\) | |||||||
\(72\) | 3571.19 | + | 3757.72i | 0.688886 | + | 0.724870i | ||||
\(73\) | 2564.79 | 0.481290 | 0.240645 | − | 0.970613i | \(-0.422641\pi\) | ||||
0.240645 | + | 0.970613i | \(0.422641\pi\) | |||||||
\(74\) | 4806.29 | − | 5145.42i | 0.877701 | − | 0.939631i | ||||
\(75\) | −3603.00 | − | 7276.24i | −0.640534 | − | 1.29355i | ||||
\(76\) | −429.232 | + | 29.2882i | −0.0743131 | + | 0.00507067i | ||||
\(77\) | −677.500 | + | 1173.46i | −0.114269 | + | 0.197919i | ||||
\(78\) | −1730.12 | − | 7321.72i | −0.284373 | − | 1.20344i | ||||
\(79\) | 4486.29 | − | 2590.16i | 0.718842 | − | 0.415023i | −0.0954846 | − | 0.995431i | \(-0.530440\pi\) |
0.814326 | + | 0.580408i | \(0.197107\pi\) | |||||||
\(80\) | −3778.87 | + | 9263.05i | −0.590449 | + | 1.44735i | ||||
\(81\) | 6348.38 | + | 1656.75i | 0.967593 | + | 0.252515i | ||||
\(82\) | −91.0669 | − | 298.766i | −0.0135436 | − | 0.0444328i | ||||
\(83\) | −1622.37 | + | 936.677i | −0.235502 | + | 0.135967i | −0.613108 | − | 0.789999i | \(-0.710081\pi\) |
0.377606 | + | 0.925966i | \(0.376747\pi\) | |||||||
\(84\) | 885.325 | + | 1518.28i | 0.125471 | + | 0.215176i | ||||
\(85\) | 1824.57 | − | 3160.25i | 0.252536 | − | 0.437405i | ||||
\(86\) | 1465.61 | − | 6323.93i | 0.198162 | − | 0.855047i | ||||
\(87\) | 5198.34 | + | 10498.0i | 0.686793 | + | 1.38697i | ||||
\(88\) | 7014.86 | + | 1129.22i | 0.905844 | + | 0.145819i | ||||
\(89\) | −1167.17 | −0.147352 | −0.0736759 | − | 0.997282i | \(-0.523473\pi\) | ||||
−0.0736759 | + | 0.997282i | \(0.523473\pi\) | |||||||
\(90\) | 2119.95 | + | 12482.8i | 0.261722 | + | 1.54109i | ||||
\(91\) | − | 2550.67i | − | 0.308015i | ||||||
\(92\) | −6156.80 | + | 12569.5i | −0.727410 | + | 1.48506i | ||||
\(93\) | 5133.87 | + | 3418.25i | 0.593580 | + | 0.395219i | ||||
\(94\) | 2085.11 | − | 8997.00i | 0.235979 | − | 1.01822i | ||||
\(95\) | −910.026 | − | 525.404i | −0.100834 | − | 0.0582165i | ||||
\(96\) | 5787.05 | − | 7172.50i | 0.627935 | − | 0.778266i | ||||
\(97\) | 2869.58 | + | 4970.26i | 0.304983 | + | 0.528245i | 0.977257 | − | 0.212056i | \(-0.0680160\pi\) |
−0.672275 | + | 0.740302i | \(0.734683\pi\) | |||||||
\(98\) | −2626.47 | − | 8616.73i | −0.273476 | − | 0.897203i | ||||
\(99\) | 8296.70 | − | 3468.34i | 0.846516 | − | 0.353876i | ||||
\(100\) | −11980.4 | + | 8051.53i | −1.19804 | + | 0.805153i | ||||
\(101\) | −7793.37 | − | 13498.5i | −0.763981 | − | 1.32325i | −0.940783 | − | 0.339008i | \(-0.889909\pi\) |
0.176802 | − | 0.984246i | \(-0.443425\pi\) | |||||||
\(102\) | −2446.71 | + | 2305.27i | −0.235170 | + | 0.221575i | ||||
\(103\) | 9636.52 | + | 5563.65i | 0.908334 | + | 0.524427i | 0.879895 | − | 0.475168i | \(-0.157613\pi\) |
0.0284395 | + | 0.999596i | \(0.490946\pi\) | |||||||
\(104\) | −12498.6 | + | 4761.55i | −1.15556 | + | 0.440232i | ||||
\(105\) | −273.772 | + | 4283.95i | −0.0248320 | + | 0.388567i | ||||
\(106\) | 3586.41 | − | 3839.46i | 0.319189 | − | 0.341711i | ||||
\(107\) | − | 4464.91i | − | 0.389983i | −0.980805 | − | 0.194991i | \(-0.937532\pi\) | ||
0.980805 | − | 0.194991i | \(-0.0624679\pi\) | |||||||
\(108\) | 1434.89 | − | 11575.4i | 0.123018 | − | 0.992404i | ||||
\(109\) | −4736.05 | −0.398624 | −0.199312 | − | 0.979936i | \(-0.563871\pi\) | ||||
−0.199312 | + | 0.979936i | \(0.563871\pi\) | |||||||
\(110\) | 12681.8 | + | 11846.0i | 1.04809 | + | 0.979008i | ||||
\(111\) | −15810.0 | − | 1010.36i | −1.28318 | − | 0.0820033i | ||||
\(112\) | 2468.63 | − | 1915.35i | 0.196798 | − | 0.152690i | ||||
\(113\) | 9173.06 | − | 15888.2i | 0.718385 | − | 1.24428i | −0.243254 | − | 0.969963i | \(-0.578215\pi\) |
0.961639 | − | 0.274317i | \(-0.0884519\pi\) | |||||||
\(114\) | 663.825 | + | 704.554i | 0.0510792 | + | 0.0542131i | ||||
\(115\) | −29605.3 | + | 17092.6i | −2.23858 | + | 1.29245i | ||||
\(116\) | 17285.0 | − | 11616.6i | 1.28456 | − | 0.863301i | ||||
\(117\) | −10261.0 | + | 13463.1i | −0.749580 | + | 0.983494i | ||||
\(118\) | −21288.2 | + | 6488.84i | −1.52888 | + | 0.466018i | ||||
\(119\) | −987.017 | + | 569.855i | −0.0696997 | + | 0.0402411i | ||||
\(120\) | 21502.9 | − | 6655.70i | 1.49326 | − | 0.462201i | ||||
\(121\) | −1157.98 | + | 2005.68i | −0.0790915 | + | 0.136990i | ||||
\(122\) | 8495.85 | + | 1968.96i | 0.570804 | + | 0.132287i | ||||
\(123\) | −389.479 | + | 584.958i | −0.0257438 | + | 0.0386647i | ||||
\(124\) | 4823.29 | − | 9847.06i | 0.313689 | − | 0.640417i | ||||
\(125\) | −10831.1 | −0.693190 | ||||||||
\(126\) | 1375.93 | − | 3707.40i | 0.0866673 | − | 0.233522i | ||||
\(127\) | 8169.42i | 0.506505i | 0.967400 | + | 0.253252i | \(0.0815003\pi\) | ||||
−0.967400 | + | 0.253252i | \(0.918500\pi\) | |||||||
\(128\) | −13993.8 | − | 8521.05i | −0.854115 | − | 0.520084i | ||||
\(129\) | −13089.1 | + | 6481.40i | −0.786560 | + | 0.389484i | ||||
\(130\) | −31823.7 | − | 7375.32i | −1.88306 | − | 0.436410i | ||||
\(131\) | −9131.01 | − | 5271.79i | −0.532079 | − | 0.307196i | 0.209784 | − | 0.977748i | \(-0.432724\pi\) |
−0.741863 | + | 0.670552i | \(0.766057\pi\) | |||||||
\(132\) | −8052.89 | − | 13810.3i | −0.462172 | − | 0.792599i | ||||
\(133\) | 164.095 | + | 284.221i | 0.00927669 | + | 0.0160677i | ||||
\(134\) | 941.399 | − | 286.948i | 0.0524281 | − | 0.0159806i | ||||
\(135\) | 18678.8 | − | 21510.4i | 1.02490 | − | 1.18027i | ||||
\(136\) | 4634.90 | + | 3772.70i | 0.250589 | + | 0.203974i | ||||
\(137\) | −1612.85 | − | 2793.54i | −0.0859318 | − | 0.148838i | 0.819856 | − | 0.572570i | \(-0.194053\pi\) |
−0.905788 | + | 0.423731i | \(0.860720\pi\) | |||||||
\(138\) | 30647.8 | − | 7242.09i | 1.60932 | − | 0.380282i | ||||
\(139\) | 16276.4 | + | 9397.17i | 0.842419 | + | 0.486371i | 0.858086 | − | 0.513506i | \(-0.171654\pi\) |
−0.0156666 | + | 0.999877i | \(0.504987\pi\) | |||||||
\(140\) | 7613.75 | − | 519.516i | 0.388457 | − | 0.0265059i | ||||
\(141\) | −18621.8 | + | 9221.03i | −0.936664 | + | 0.463811i | ||||
\(142\) | 13470.2 | + | 12582.4i | 0.668030 | + | 0.624001i | ||||
\(143\) | 23200.8i | 1.13457i | ||||||||
\(144\) | −20735.2 | + | 178.687i | −0.999963 | + | 0.00861724i | ||||
\(145\) | 50865.8 | 2.41930 | ||||||||
\(146\) | −7003.05 | + | 7497.18i | −0.328535 | + | 0.351716i | ||||
\(147\) | −11233.0 | + | 16870.8i | −0.519829 | + | 0.780731i | ||||
\(148\) | 1917.28 | + | 28098.7i | 0.0875313 | + | 1.28281i | ||||
\(149\) | 3825.13 | − | 6625.31i | 0.172295 | − | 0.298424i | −0.766927 | − | 0.641735i | \(-0.778215\pi\) |
0.939222 | + | 0.343311i | \(0.111548\pi\) | |||||||
\(150\) | 31107.1 | + | 9335.47i | 1.38254 | + | 0.414910i | ||||
\(151\) | −974.974 | + | 562.901i | −0.0427601 | + | 0.0246876i | −0.521228 | − | 0.853418i | \(-0.674526\pi\) |
0.478468 | + | 0.878105i | \(0.341192\pi\) | |||||||
\(152\) | 1086.39 | − | 1334.67i | 0.0470216 | − | 0.0577677i | ||||
\(153\) | 7502.17 | + | 962.806i | 0.320482 | + | 0.0411297i | ||||
\(154\) | −1580.29 | − | 5184.51i | −0.0666338 | − | 0.218608i | ||||
\(155\) | 23193.0 | − | 13390.5i | 0.965369 | − | 0.557356i | ||||
\(156\) | 26126.3 | + | 14934.3i | 1.07356 | + | 0.613670i | ||||
\(157\) | 1755.81 | − | 3041.15i | 0.0712326 | − | 0.123378i | −0.828209 | − | 0.560419i | \(-0.810640\pi\) |
0.899442 | + | 0.437041i | \(0.143973\pi\) | |||||||
\(158\) | −4678.28 | + | 20186.3i | −0.187401 | + | 0.808615i | ||||
\(159\) | −11797.3 | − | 753.923i | −0.466646 | − | 0.0298217i | ||||
\(160\) | −16758.9 | − | 36338.4i | −0.654645 | − | 1.41947i | ||||
\(161\) | 10676.8 | 0.411898 | ||||||||
\(162\) | −22176.8 | + | 14033.4i | −0.845025 | + | 0.534726i | ||||
\(163\) | − | 41947.9i | − | 1.57883i | −0.613861 | − | 0.789414i | \(-0.710385\pi\) | ||
0.613861 | − | 0.789414i | \(-0.289615\pi\) | |||||||
\(164\) | 1121.98 | + | 549.569i | 0.0417156 | + | 0.0204331i | ||||
\(165\) | 2490.23 | − | 38966.7i | 0.0914684 | − | 1.43128i | ||||
\(166\) | 1691.80 | − | 7299.94i | 0.0613951 | − | 0.264913i | ||||
\(167\) | 5900.58 | + | 3406.70i | 0.211574 | + | 0.122152i | 0.602043 | − | 0.798464i | \(-0.294354\pi\) |
−0.390469 | + | 0.920616i | \(0.627687\pi\) | |||||||
\(168\) | −6855.46 | − | 1557.70i | −0.242895 | − | 0.0551905i | ||||
\(169\) | −7556.26 | − | 13087.8i | −0.264566 | − | 0.458241i | ||||
\(170\) | 4255.87 | + | 13962.4i | 0.147262 | + | 0.483127i | ||||
\(171\) | 277.250 | − | 2160.32i | 0.00948153 | − | 0.0738799i | ||||
\(172\) | 14483.8 | + | 21551.3i | 0.489582 | + | 0.728480i | ||||
\(173\) | −7874.16 | − | 13638.4i | −0.263095 | − | 0.455693i | 0.703968 | − | 0.710232i | \(-0.251410\pi\) |
−0.967063 | + | 0.254539i | \(0.918076\pi\) | |||||||
\(174\) | −44880.7 | − | 13469.0i | −1.48239 | − | 0.444874i | ||||
\(175\) | 9535.85 | + | 5505.52i | 0.311375 | + | 0.179772i | ||||
\(176\) | −22454.6 | + | 17421.9i | −0.724904 | + | 0.562434i | ||||
\(177\) | 41680.3 | + | 27751.7i | 1.33041 | + | 0.885816i | ||||
\(178\) | 3186.92 | − | 3411.79i | 0.100584 | − | 0.107682i | ||||
\(179\) | − | 22497.6i | − | 0.702151i | −0.936347 | − | 0.351075i | \(-0.885816\pi\) | ||
0.936347 | − | 0.351075i | \(-0.114184\pi\) | |||||||
\(180\) | −42277.2 | − | 27887.0i | −1.30485 | − | 0.860709i | ||||
\(181\) | −21847.2 | −0.666867 | −0.333434 | − | 0.942774i | \(-0.608207\pi\) | ||||
−0.333434 | + | 0.942774i | \(0.608207\pi\) | |||||||
\(182\) | 7455.90 | + | 6964.49i | 0.225091 | + | 0.210255i | ||||
\(183\) | −8707.40 | − | 17584.5i | −0.260008 | − | 0.525084i | ||||
\(184\) | −19931.3 | − | 52317.5i | −0.588707 | − | 1.54530i | ||||
\(185\) | −34394.3 | + | 59572.7i | −1.00495 | + | 1.74062i | ||||
\(186\) | −24009.8 | + | 5673.51i | −0.694004 | + | 0.163993i | ||||
\(187\) | 8977.88 | − | 5183.38i | 0.256738 | − | 0.148228i | ||||
\(188\) | 20606.0 | + | 30660.9i | 0.583012 | + | 0.867500i | ||||
\(189\) | −8411.31 | + | 2901.21i | −0.235473 | + | 0.0812186i | ||||
\(190\) | 4020.60 | − | 1225.52i | 0.111374 | − | 0.0339479i | ||||
\(191\) | 16182.1 | − | 9342.76i | 0.443577 | − | 0.256099i | −0.261537 | − | 0.965194i | \(-0.584229\pi\) |
0.705114 | + | 0.709094i | \(0.250896\pi\) | |||||||
\(192\) | 5164.76 | + | 36500.4i | 0.140103 | + | 0.990137i | ||||
\(193\) | −23049.7 | + | 39923.2i | −0.618800 | + | 1.07179i | 0.370905 | + | 0.928671i | \(0.379048\pi\) |
−0.989705 | + | 0.143123i | \(0.954286\pi\) | |||||||
\(194\) | −22363.9 | − | 5182.96i | −0.594216 | − | 0.137713i | ||||
\(195\) | 32616.1 | + | 65868.1i | 0.857755 | + | 1.73223i | ||||
\(196\) | 32359.2 | + | 15850.2i | 0.842336 | + | 0.412593i | ||||
\(197\) | 15934.7 | 0.410592 | 0.205296 | − | 0.978700i | \(-0.434184\pi\) | ||||
0.205296 | + | 0.978700i | \(0.434184\pi\) | |||||||
\(198\) | −12515.4 | + | 33722.4i | −0.319238 | + | 0.860177i | ||||
\(199\) | − | 73733.8i | − | 1.86192i | −0.365124 | − | 0.930959i | \(-0.618974\pi\) | ||
0.365124 | − | 0.930959i | \(-0.381026\pi\) | |||||||
\(200\) | 9176.34 | − | 57004.4i | 0.229408 | − | 1.42511i | ||||
\(201\) | −1843.18 | − | 1227.23i | −0.0456221 | − | 0.0303762i | ||||
\(202\) | 60737.2 | + | 14076.2i | 1.48851 | + | 0.344971i | ||||
\(203\) | −13758.1 | − | 7943.25i | −0.333862 | − | 0.192755i | ||||
\(204\) | −57.9367 | − | 13446.4i | −0.00139217 | − | 0.323108i | ||||
\(205\) | 1525.72 | + | 2642.63i | 0.0363051 | + | 0.0628823i | ||||
\(206\) | −42575.3 | + | 12977.4i | −1.00328 | + | 0.305810i | ||||
\(207\) | −56354.7 | − | 42951.3i | −1.31519 | − | 1.00239i | ||||
\(208\) | 20208.3 | − | 49536.0i | 0.467092 | − | 1.14497i | ||||
\(209\) | −1492.61 | − | 2585.27i | −0.0341706 | − | 0.0591852i | ||||
\(210\) | −11775.0 | − | 12497.4i | −0.267006 | − | 0.283388i | ||||
\(211\) | 15431.2 | + | 8909.20i | 0.346605 | + | 0.200112i | 0.663189 | − | 0.748452i | \(-0.269203\pi\) |
−0.316584 | + | 0.948564i | \(0.602536\pi\) | |||||||
\(212\) | 1430.66 | + | 20967.0i | 0.0318321 | + | 0.466513i | ||||
\(213\) | 2645.02 | − | 41388.9i | 0.0583001 | − | 0.912273i | ||||
\(214\) | 13051.4 | + | 12191.2i | 0.284991 | + | 0.266208i | ||||
\(215\) | 63420.5i | 1.37200i | ||||||||
\(216\) | 29918.4 | + | 35800.5i | 0.641254 | + | 0.767329i | ||||
\(217\) | −8364.29 | −0.177627 | ||||||||
\(218\) | 12931.6 | − | 13844.0i | 0.272106 | − | 0.291306i | ||||
\(219\) | 23036.1 | + | 1472.16i | 0.480310 | + | 0.0306949i | ||||
\(220\) | −69254.5 | + | 4725.51i | −1.43088 | + | 0.0976344i | ||||
\(221\) | −9757.27 | + | 16900.1i | −0.199776 | + | 0.346022i | ||||
\(222\) | 46122.0 | − | 43455.7i | 0.935840 | − | 0.881741i | ||||
\(223\) | −58353.8 | + | 33690.6i | −1.17344 | + | 0.677483i | −0.954487 | − | 0.298253i | \(-0.903596\pi\) |
−0.218949 | + | 0.975736i | \(0.570263\pi\) | |||||||
\(224\) | −1141.72 | + | 12445.9i | −0.0227542 | + | 0.248044i | ||||
\(225\) | −28184.5 | − | 67420.9i | −0.556732 | − | 1.33177i | ||||
\(226\) | 21396.4 | + | 70196.0i | 0.418914 | + | 1.37434i | ||||
\(227\) | −54381.5 | + | 31397.2i | −1.05536 | + | 0.609310i | −0.924144 | − | 0.382044i | \(-0.875220\pi\) |
−0.131212 | + | 0.991354i | \(0.541887\pi\) | |||||||
\(228\) | −3872.04 | + | 16.6834i | −0.0744852 | + | 0.000320934i | ||||
\(229\) | 20463.2 | − | 35443.2i | 0.390213 | − | 0.675868i | −0.602265 | − | 0.798297i | \(-0.705735\pi\) |
0.992477 | + | 0.122428i | \(0.0390681\pi\) | |||||||
\(230\) | 30872.2 | − | 133210.i | 0.583596 | − | 2.51815i | ||||
\(231\) | −6758.64 | + | 10150.8i | −0.126659 | + | 0.190229i | ||||
\(232\) | −13239.4 | + | 82244.7i | −0.245976 | + | 1.52803i | ||||
\(233\) | 79254.5 | 1.45986 | 0.729932 | − | 0.683520i | \(-0.239552\pi\) | ||||
0.729932 | + | 0.683520i | \(0.239552\pi\) | |||||||
\(234\) | −11336.8 | − | 66754.4i | −0.207043 | − | 1.21912i | ||||
\(235\) | 90227.9i | 1.63382i | ||||||||
\(236\) | 39158.8 | − | 79945.2i | 0.703080 | − | 1.43539i | ||||
\(237\) | 41781.1 | − | 20688.9i | 0.743847 | − | 0.368333i | ||||
\(238\) | 1029.26 | − | 4441.13i | 0.0181706 | − | 0.0784042i | ||||
\(239\) | 39084.7 | + | 22565.5i | 0.684243 | + | 0.395048i | 0.801452 | − | 0.598059i | \(-0.204061\pi\) |
−0.117209 | + | 0.993107i | \(0.537395\pi\) | |||||||
\(240\) | −39257.5 | + | 81028.7i | −0.681554 | + | 1.40675i | ||||
\(241\) | −37826.8 | − | 65517.9i | −0.651276 | − | 1.12804i | −0.982814 | − | 0.184601i | \(-0.940901\pi\) |
0.331537 | − | 0.943442i | \(-0.392433\pi\) | |||||||
\(242\) | −2701.02 | − | 8861.32i | −0.0461208 | − | 0.151310i | ||||
\(243\) | 56068.1 | + | 18524.3i | 0.949519 | + | 0.313711i | ||||
\(244\) | −28953.1 | + | 19458.2i | −0.486312 | + | 0.326831i | ||||
\(245\) | 44003.5 | + | 76216.3i | 0.733086 | + | 1.26974i | ||||
\(246\) | −646.445 | − | 2735.69i | −0.0106822 | − | 0.0452061i | ||||
\(247\) | 4866.55 | + | 2809.70i | 0.0797677 | + | 0.0460539i | ||||
\(248\) | 15614.3 | + | 40986.0i | 0.253875 | + | 0.666395i | ||||
\(249\) | −15109.3 | + | 7481.71i | −0.243694 | + | 0.120671i | ||||
\(250\) | 29573.8 | − | 31660.6i | 0.473182 | − | 0.506569i | ||||
\(251\) | − | 78270.9i | − | 1.24238i | −0.783662 | − | 0.621188i | \(-0.786650\pi\) | ||
0.783662 | − | 0.621188i | \(-0.213350\pi\) | |||||||
\(252\) | 7080.23 | + | 14144.9i | 0.111493 | + | 0.222740i | ||||
\(253\) | −97115.9 | −1.51722 | ||||||||
\(254\) | −23880.2 | − | 22306.2i | −0.370143 | − | 0.345747i | ||||
\(255\) | 18201.7 | − | 27337.1i | 0.279918 | − | 0.420409i | ||||
\(256\) | 63117.6 | − | 17639.2i | 0.963097 | − | 0.269153i | ||||
\(257\) | 11506.3 | − | 19929.5i | 0.174209 | − | 0.301739i | −0.765678 | − | 0.643224i | \(-0.777597\pi\) |
0.939887 | + | 0.341485i | \(0.110930\pi\) | |||||||
\(258\) | 16793.5 | − | 55958.2i | 0.252290 | − | 0.840668i | ||||
\(259\) | 18605.9 | − | 10742.1i | 0.277365 | − | 0.160136i | ||||
\(260\) | 108452. | − | 72886.4i | 1.60432 | − | 1.07820i | ||||
\(261\) | 40664.1 | + | 97273.5i | 0.596939 | + | 1.42795i | ||||
\(262\) | 40341.9 | − | 12296.6i | 0.587697 | − | 0.179136i | ||||
\(263\) | −75237.8 | + | 43438.5i | −1.08774 | + | 0.628006i | −0.932973 | − | 0.359945i | \(-0.882795\pi\) |
−0.154765 | + | 0.987951i | \(0.549462\pi\) | |||||||
\(264\) | 62357.0 | + | 14168.8i | 0.894700 | + | 0.203294i | ||||
\(265\) | −25664.7 | + | 44452.6i | −0.365464 | + | 0.633003i | ||||
\(266\) | −1278.87 | − | 296.385i | −0.0180743 | − | 0.00418883i | ||||
\(267\) | −10483.2 | − | 669.943i | −0.147052 | − | 0.00939757i | ||||
\(268\) | −1731.67 | + | 3535.32i | −0.0241099 | + | 0.0492220i | ||||
\(269\) | −54083.3 | −0.747409 | −0.373705 | − | 0.927548i | \(-0.621913\pi\) | ||||
−0.373705 | + | 0.927548i | \(0.621913\pi\) | |||||||
\(270\) | 11875.7 | + | 113334.i | 0.162904 | + | 1.55464i | ||||
\(271\) | 47957.3i | 0.653004i | 0.945197 | + | 0.326502i | \(0.105870\pi\) | ||||
−0.945197 | + | 0.326502i | \(0.894130\pi\) | |||||||
\(272\) | −23683.5 | + | 3247.15i | −0.320116 | + | 0.0438899i | ||||
\(273\) | 1464.05 | − | 22909.3i | 0.0196441 | − | 0.307388i | ||||
\(274\) | 12569.7 | + | 2913.09i | 0.167426 | + | 0.0388019i | ||||
\(275\) | −86737.8 | − | 50078.1i | −1.14695 | − | 0.662190i | ||||
\(276\) | −62513.1 | + | 109361.i | −0.820641 | + | 1.43564i | ||||
\(277\) | 36861.8 | + | 63846.5i | 0.480415 | + | 0.832103i | 0.999748 | − | 0.0224689i | \(-0.00715269\pi\) |
−0.519332 | + | 0.854572i | \(0.673819\pi\) | |||||||
\(278\) | −71911.0 | + | 21919.2i | −0.930477 | + | 0.283618i | ||||
\(279\) | 44148.8 | + | 33648.4i | 0.567166 | + | 0.432271i | ||||
\(280\) | −19270.4 | + | 23674.4i | −0.245796 | + | 0.301969i | ||||
\(281\) | −28062.0 | − | 48604.7i | −0.355390 | − | 0.615554i | 0.631795 | − | 0.775136i | \(-0.282319\pi\) |
−0.987185 | + | 0.159582i | \(0.948985\pi\) | |||||||
\(282\) | 23891.9 | − | 79611.4i | 0.300437 | − | 1.00110i | ||||
\(283\) | −132300. | − | 76383.2i | −1.65191 | − | 0.953730i | −0.976287 | − | 0.216481i | \(-0.930542\pi\) |
−0.675621 | − | 0.737249i | \(-0.736124\pi\) | |||||||
\(284\) | −73559.3 | + | 5019.25i | −0.912013 | + | 0.0622303i | ||||
\(285\) | −7871.99 | − | 5241.35i | −0.0969158 | − | 0.0645288i | ||||
\(286\) | −67818.7 | − | 63348.8i | −0.829120 | − | 0.774474i | ||||
\(287\) | − | 953.034i | − | 0.0115703i | ||||||
\(288\) | 56094.3 | − | 61099.4i | 0.676292 | − | 0.736634i | ||||
\(289\) | −74801.4 | −0.895600 | ||||||||
\(290\) | −138887. | + | 148687.i | −1.65145 | + | 1.76797i | ||||
\(291\) | 22920.8 | + | 46288.4i | 0.270672 | + | 0.546620i | ||||
\(292\) | −2793.60 | − | 40941.5i | −0.0327641 | − | 0.480173i | ||||
\(293\) | 19420.1 | − | 33636.7i | 0.226213 | − | 0.391812i | −0.730470 | − | 0.682945i | \(-0.760699\pi\) |
0.956683 | + | 0.291133i | \(0.0940322\pi\) | |||||||
\(294\) | −18644.2 | − | 78900.3i | −0.215699 | − | 0.912818i | ||||
\(295\) | 188297. | − | 108713.i | 2.16371 | − | 1.24922i | ||||
\(296\) | −87370.8 | − | 71117.8i | −0.997201 | − | 0.811699i | ||||
\(297\) | 76509.1 | − | 26389.3i | 0.867361 | − | 0.299168i | ||||
\(298\) | 8922.21 | + | 29271.4i | 0.100471 | + | 0.329618i | ||||
\(299\) | 158320. | − | 91406.1i | 1.77090 | − | 1.02243i | ||||
\(300\) | −112225. | + | 65439.7i | −1.24695 | + | 0.727107i | ||||
\(301\) | 9903.82 | − | 17153.9i | 0.109312 | − | 0.189335i | ||||
\(302\) | 1016.70 | − | 4386.94i | 0.0111475 | − | 0.0481003i | ||||
\(303\) | −62249.6 | − | 125713.i | −0.678034 | − | 1.36928i | ||||
\(304\) | 935.049 | + | 6819.88i | 0.0101178 | + | 0.0737955i | ||||
\(305\) | −85202.0 | −0.915905 | ||||||||
\(306\) | −23298.7 | + | 19300.8i | −0.248822 | + | 0.206126i | ||||
\(307\) | 457.528i | 0.00485446i | 0.999997 | + | 0.00242723i | \(0.000772612\pi\) | ||||
−0.999997 | + | 0.00242723i | \(0.999227\pi\) | |||||||
\(308\) | 19469.8 | + | 9536.70i | 0.205239 | + | 0.100530i | ||||
\(309\) | 83358.6 | + | 55502.1i | 0.873039 | + | 0.581290i | ||||
\(310\) | −24185.5 | + | 104358.i | −0.251671 | + | 1.08593i | ||||
\(311\) | −9285.82 | − | 5361.17i | −0.0960062 | − | 0.0554292i | 0.451228 | − | 0.892409i | \(-0.350986\pi\) |
−0.547234 | + | 0.836979i | \(0.684319\pi\) | |||||||
\(312\) | −114991. | + | 35592.7i | −1.18129 | + | 0.365638i | ||||
\(313\) | −8976.10 | − | 15547.1i | −0.0916218 | − | 0.158694i | 0.816572 | − | 0.577244i | \(-0.195872\pi\) |
−0.908194 | + | 0.418550i | \(0.862538\pi\) | |||||||
\(314\) | 4095.48 | + | 13436.2i | 0.0415380 | + | 0.136275i | ||||
\(315\) | −4917.87 | + | 38320.0i | −0.0495628 | + | 0.386193i | ||||
\(316\) | −46232.9 | − | 68792.9i | −0.462996 | − | 0.688921i | ||||
\(317\) | 30685.9 | + | 53149.6i | 0.305366 | + | 0.528909i | 0.977343 | − | 0.211663i | \(-0.0678879\pi\) |
−0.671977 | + | 0.740572i | \(0.734555\pi\) | |||||||
\(318\) | 34415.8 | − | 32426.3i | 0.340332 | − | 0.320659i | ||||
\(319\) | 125143. | + | 72251.6i | 1.22978 | + | 0.710013i | ||||
\(320\) | 151981. | + | 50232.3i | 1.48419 | + | 0.490550i | ||||
\(321\) | 2562.80 | − | 40102.4i | 0.0248717 | − | 0.389189i | ||||
\(322\) | −29152.5 | + | 31209.5i | −0.281167 | + | 0.301006i | ||||
\(323\) | − | 2510.90i | − | 0.0240672i | ||||||
\(324\) | 19531.8 | − | 103143.i | 0.186060 | − | 0.982538i | ||||
\(325\) | 188535. | 1.78495 | ||||||||
\(326\) | 122619. | + | 114537.i | 1.15377 | + | 1.07773i | ||||
\(327\) | −42537.7 | − | 2718.43i | −0.397812 | − | 0.0254228i | ||||
\(328\) | −4669.98 | + | 1779.11i | −0.0434077 | + | 0.0165369i | ||||
\(329\) | 14090.1 | − | 24404.7i | 0.130173 | − | 0.225467i | ||||
\(330\) | 107105. | + | 113676.i | 0.983515 | + | 1.04386i | ||||
\(331\) | −160993. | + | 92949.3i | −1.46944 | + | 0.848379i | −0.999412 | − | 0.0342747i | \(-0.989088\pi\) |
−0.470023 | + | 0.882654i | \(0.655755\pi\) | |||||||
\(332\) | 16719.2 | + | 24877.5i | 0.151684 | + | 0.225700i | ||||
\(333\) | −141420. | − | 18149.5i | −1.27533 | − | 0.163673i | ||||
\(334\) | −26069.4 | + | 7946.22i | −0.233689 | + | 0.0712308i | ||||
\(335\) | −8326.81 | + | 4807.49i | −0.0741975 | + | 0.0428379i | ||||
\(336\) | 23271.9 | − | 15786.1i | 0.206135 | − | 0.139828i | ||||
\(337\) | 73998.8 | − | 128170.i | 0.651576 | − | 1.12856i | −0.331165 | − | 0.943573i | \(-0.607442\pi\) |
0.982741 | − | 0.184989i | \(-0.0592251\pi\) | |||||||
\(338\) | 58889.3 | + | 13647.9i | 0.515469 | + | 0.119463i | ||||
\(339\) | 91509.1 | − | 137438.i | 0.796279 | − | 1.19593i | ||||
\(340\) | −52434.1 | − | 25683.3i | −0.453582 | − | 0.222174i | ||||
\(341\) | 76081.3 | 0.654289 | ||||||||
\(342\) | 5557.86 | + | 6709.10i | 0.0475177 | + | 0.0573604i | ||||
\(343\) | − | 56791.2i | − | 0.482717i | ||||||
\(344\) | −102544. | − | 16507.2i | −0.866553 | − | 0.139494i | ||||
\(345\) | −275716. | + | 136527.i | −2.31645 | + | 1.14705i | ||||
\(346\) | 61366.8 | + | 14222.1i | 0.512603 | + | 0.118799i | ||||
\(347\) | 125556. | + | 72490.0i | 1.04275 | + | 0.602031i | 0.920611 | − | 0.390482i | \(-0.127692\pi\) |
0.122138 | + | 0.992513i | \(0.461025\pi\) | |||||||
\(348\) | 161916. | − | 94415.0i | 1.33700 | − | 0.779619i | ||||
\(349\) | 89475.8 | + | 154977.i | 0.734606 | + | 1.27238i | 0.954896 | + | 0.296941i | \(0.0959664\pi\) |
−0.220290 | + | 0.975435i | \(0.570700\pi\) | |||||||
\(350\) | −42130.5 | + | 12841.8i | −0.343922 | + | 0.104831i | ||||
\(351\) | −99888.6 | + | 115031.i | −0.810778 | + | 0.933687i | ||||
\(352\) | 10385.0 | − | 113207.i | 0.0838150 | − | 0.913670i | ||||
\(353\) | −13197.7 | − | 22859.1i | −0.105913 | − | 0.183446i | 0.808198 | − | 0.588911i | \(-0.200443\pi\) |
−0.914111 | + | 0.405465i | \(0.867110\pi\) | |||||||
\(354\) | −194928. | + | 46061.5i | −1.55549 | + | 0.367563i | ||||
\(355\) | −155955. | − | 90040.7i | −1.23749 | − | 0.714467i | ||||
\(356\) | 1271.30 | + | 18631.5i | 0.0100311 | + | 0.147010i | ||||
\(357\) | −9192.16 | + | 4551.72i | −0.0721242 | + | 0.0357140i | ||||
\(358\) | 65763.1 | + | 61428.8i | 0.513117 | + | 0.479298i | ||||
\(359\) | 181364.i | 1.40722i | 0.710587 | + | 0.703609i | \(0.248429\pi\) | ||||
−0.710587 | + | 0.703609i | \(0.751571\pi\) | |||||||
\(360\) | 196953. | − | 47436.9i | 1.51970 | − | 0.366026i | ||||
\(361\) | 129598. | 0.994452 | ||||||||
\(362\) | 59652.9 | − | 63862.0i | 0.455213 | − | 0.487333i | ||||
\(363\) | −11551.8 | + | 17349.7i | −0.0876672 | + | 0.131667i | ||||
\(364\) | −40716.0 | + | 2778.22i | −0.307300 | + | 0.0209683i | ||||
\(365\) | 50114.6 | − | 86801.1i | 0.376165 | − | 0.651537i | ||||
\(366\) | 75176.8 | + | 22561.1i | 0.561206 | + | 0.168422i | ||||
\(367\) | 181000. | − | 104500.i | 1.34383 | − | 0.775863i | 0.356467 | − | 0.934308i | \(-0.383981\pi\) |
0.987368 | + | 0.158445i | \(0.0506481\pi\) | |||||||
\(368\) | 207352. | + | 84589.4i | 1.53113 | + | 0.624626i | ||||
\(369\) | −3833.93 | + | 5030.35i | −0.0281573 | + | 0.0369441i | ||||
\(370\) | −80225.8 | − | 263199.i | −0.586017 | − | 1.92257i | ||||
\(371\) | 13883.5 | − | 8015.67i | 0.100868 | − | 0.0582360i | ||||
\(372\) | 48973.3 | − | 85674.6i | 0.353894 | − | 0.619108i | ||||
\(373\) | 38298.0 | − | 66334.0i | 0.275269 | − | 0.476781i | −0.694934 | − | 0.719074i | \(-0.744566\pi\) |
0.970203 | + | 0.242293i | \(0.0778996\pi\) | |||||||
\(374\) | −9362.09 | + | 40396.4i | −0.0669314 | + | 0.288801i | ||||
\(375\) | −97281.4 | − | 6216.91i | −0.691779 | − | 0.0442092i | ||||
\(376\) | −145889. | − | 23484.7i | −1.03192 | − | 0.166115i | ||||
\(377\) | −272015. | −1.91386 | ||||||||
\(378\) | 14486.2 | − | 32508.9i | 0.101384 | − | 0.227519i | ||||
\(379\) | 232118.i | 1.61596i | 0.589211 | + | 0.807979i | \(0.299439\pi\) | ||||
−0.589211 | + | 0.807979i | \(0.700561\pi\) | |||||||
\(380\) | −7395.75 | + | 15098.9i | −0.0512171 | + | 0.104563i | ||||
\(381\) | −4689.14 | + | 73375.1i | −0.0323030 | + | 0.505474i | ||||
\(382\) | −16874.7 | + | 72812.3i | −0.115640 | + | 0.498974i | ||||
\(383\) | 74119.1 | + | 42792.7i | 0.505280 | + | 0.291724i | 0.730891 | − | 0.682494i | \(-0.239105\pi\) |
−0.225611 | + | 0.974217i | \(0.572438\pi\) | |||||||
\(384\) | −120797. | − | 84565.6i | −0.819207 | − | 0.573497i | ||||
\(385\) | 26476.0 | + | 45857.7i | 0.178620 | + | 0.309379i | ||||
\(386\) | −53764.1 | − | 176386.i | −0.360842 | − | 1.18383i | ||||
\(387\) | −121283. | + | 50700.8i | −0.809798 | + | 0.338527i | ||||
\(388\) | 76214.1 | − | 51220.4i | 0.506258 | − | 0.340236i | ||||
\(389\) | −60869.2 | − | 105429.i | −0.402252 | − | 0.696721i | 0.591745 | − | 0.806125i | \(-0.298439\pi\) |
−0.993997 | + | 0.109404i | \(0.965106\pi\) | |||||||
\(390\) | −281597. | − | 84509.2i | −1.85139 | − | 0.555616i | ||||
\(391\) | −70741.7 | − | 40842.8i | −0.462724 | − | 0.267154i | ||||
\(392\) | −134687. | + | 51311.4i | −0.876504 | + | 0.333919i | ||||
\(393\) | −78985.8 | − | 52590.6i | −0.511404 | − | 0.340505i | ||||
\(394\) | −43508.9 | + | 46578.9i | −0.280276 | + | 0.300052i | ||||
\(395\) | − | 202441.i | − | 1.29749i | ||||||
\(396\) | −64401.5 | − | 128661.i | −0.410682 | − | 0.820462i | ||||
\(397\) | −71690.8 | −0.454865 | −0.227432 | − | 0.973794i | \(-0.573033\pi\) | ||||
−0.227432 | + | 0.973794i | \(0.573033\pi\) | |||||||
\(398\) | 215532. | + | 201327.i | 1.36065 | + | 1.27097i | ||||
\(399\) | 1310.71 | + | 2646.97i | 0.00823306 | + | 0.0166266i | ||||
\(400\) | 141575. | + | 182471.i | 0.884842 | + | 1.14045i | ||||
\(401\) | 43140.3 | − | 74721.1i | 0.268283 | − | 0.464681i | −0.700135 | − | 0.714010i | \(-0.746877\pi\) |
0.968419 | + | 0.249330i | \(0.0802103\pi\) | |||||||
\(402\) | 8620.05 | − | 2036.92i | 0.0533406 | − | 0.0126044i | ||||
\(403\) | −124029. | + | 71608.3i | −0.763684 | + | 0.440913i | ||||
\(404\) | −206987. | + | 139107.i | −1.26818 | + | 0.852291i | ||||
\(405\) | 180114. | − | 182478.i | 1.09809 | − | 1.11250i | ||||
\(406\) | 60785.0 | − | 18527.9i | 0.368761 | − | 0.112402i | ||||
\(407\) | −169239. | + | 97710.0i | −1.02167 | + | 0.589862i | ||||
\(408\) | 39463.7 | + | 36545.6i | 0.237071 | + | 0.219540i | ||||
\(409\) | −115231. | + | 199585.i | −0.688844 | + | 1.19311i | 0.283368 | + | 0.959011i | \(0.408548\pi\) |
−0.972212 | + | 0.234102i | \(0.924785\pi\) | |||||||
\(410\) | −11890.6 | − | 2755.72i | −0.0707355 | − | 0.0163933i | ||||
\(411\) | −12882.7 | − | 26016.5i | −0.0762645 | − | 0.154016i | ||||
\(412\) | 78315.6 | − | 159887.i | 0.461375 | − | 0.941928i | ||||
\(413\) | −67907.1 | −0.398121 | ||||||||
\(414\) | 279426. | − | 47454.7i | 1.63029 | − | 0.276872i | ||||
\(415\) | 73208.6i | 0.425075i | ||||||||
\(416\) | 89621.6 | + | 194327.i | 0.517876 | + | 1.12291i | ||||
\(417\) | 140795. | + | 93744.8i | 0.809685 | + | 0.539107i | ||||
\(418\) | 11632.5 | + | 2695.91i | 0.0665767 | + | 0.0154295i | ||||
\(419\) | 48172.3 | + | 27812.3i | 0.274391 | + | 0.158420i | 0.630881 | − | 0.775879i | \(-0.282693\pi\) |
−0.356491 | + | 0.934299i | \(0.616027\pi\) | |||||||
\(420\) | 68682.5 | − | 295.932i | 0.389356 | − | 0.00167762i | ||||
\(421\) | −70485.7 | − | 122085.i | −0.397683 | − | 0.688807i | 0.595757 | − | 0.803165i | \(-0.296852\pi\) |
−0.993440 | + | 0.114358i | \(0.963519\pi\) | |||||||
\(422\) | −68176.8 | + | 20781.0i | −0.382835 | + | 0.116692i | ||||
\(423\) | −172548. | + | 72131.7i | −0.964337 | + | 0.403130i | ||||
\(424\) | −65195.3 | − | 53067.4i | −0.362647 | − | 0.295186i | ||||
\(425\) | −42121.4 | − | 72956.4i | −0.233198 | − | 0.403911i | ||||
\(426\) | 113762. | + | 120742.i | 0.626873 | + | 0.665335i | ||||
\(427\) | 23045.4 | + | 13305.2i | 0.126394 | + | 0.0729738i | ||||
\(428\) | −71272.8 | + | 4863.23i | −0.389078 | + | 0.0265483i | ||||
\(429\) | −13317.0 | + | 208382.i | −0.0723588 | + | 1.13226i | ||||
\(430\) | −185386. | − | 173167.i | −1.00263 | − | 0.936544i | ||||
\(431\) | − | 191015.i | − | 1.02828i | −0.857705 | − | 0.514142i | \(-0.828111\pi\) | ||
0.857705 | − | 0.514142i | \(-0.171889\pi\) | |||||||
\(432\) | −186340. | − | 10296.9i | −0.998477 | − | 0.0551743i | ||||
\(433\) | 48243.4 | 0.257313 | 0.128657 | − | 0.991689i | \(-0.458933\pi\) | ||||
0.128657 | + | 0.991689i | \(0.458933\pi\) | |||||||
\(434\) | 22838.3 | − | 24449.8i | 0.121251 | − | 0.129806i | ||||
\(435\) | 456860. | + | 29196.3i | 2.41437 | + | 0.154294i | ||||
\(436\) | 5158.56 | + | 75601.0i | 0.0271366 | + | 0.397699i | ||||
\(437\) | −11761.1 | + | 20370.8i | −0.0615863 | + | 0.106671i | ||||
\(438\) | −67202.5 | + | 63317.6i | −0.350297 | + | 0.330047i | ||||
\(439\) | 227081. | − | 131105.i | 1.17829 | − | 0.680285i | 0.222670 | − | 0.974894i | \(-0.428523\pi\) |
0.955618 | + | 0.294609i | \(0.0951893\pi\) | |||||||
\(440\) | 175283. | − | 215342.i | 0.905388 | − | 1.11230i | ||||
\(441\) | −110575. | + | 145081.i | −0.568562 | + | 0.745988i | ||||
\(442\) | −22759.1 | − | 74666.6i | −0.116496 | − | 0.382192i | ||||
\(443\) | −78793.6 | + | 45491.5i | −0.401498 | + | 0.231805i | −0.687130 | − | 0.726534i | \(-0.741130\pi\) |
0.285632 | + | 0.958339i | \(0.407796\pi\) | |||||||
\(444\) | 1092.14 | + | 253474.i | 0.00554005 | + | 1.28578i | ||||
\(445\) | −22805.9 | + | 39501.0i | −0.115167 | + | 0.199475i | ||||
\(446\) | 60851.0 | − | 262566.i | 0.305913 | − | 1.31998i | ||||
\(447\) | 38158.9 | − | 57310.8i | 0.190977 | − | 0.286828i | ||||
\(448\) | −33263.3 | − | 37320.3i | −0.165733 | − | 0.185947i | ||||
\(449\) | 283350. | 1.40550 | 0.702748 | − | 0.711438i | \(-0.251956\pi\) | ||||
0.702748 | + | 0.711438i | \(0.251956\pi\) | |||||||
\(450\) | 274036. | + | 101703.i | 1.35326 | + | 0.502238i | ||||
\(451\) | 8668.77i | 0.0426191i | ||||||||
\(452\) | −263613. | − | 129123.i | −1.29030 | − | 0.632014i | ||||
\(453\) | −9080.00 | + | 4496.18i | −0.0442476 | + | 0.0219102i | ||||
\(454\) | 56708.7 | − | 244692.i | 0.275130 | − | 1.18716i | ||||
\(455\) | −86323.1 | − | 49838.7i | −0.416970 | − | 0.240737i | ||||
\(456\) | 10523.7 | − | 11364.0i | 0.0506101 | − | 0.0546513i | ||||
\(457\) | −99226.7 | − | 171866.i | −0.475112 | − | 0.822918i | 0.524482 | − | 0.851422i | \(-0.324259\pi\) |
−0.999594 | + | 0.0285035i | \(0.990926\pi\) | |||||||
\(458\) | 47730.9 | + | 156592.i | 0.227546 | + | 0.746517i | ||||
\(459\) | 66829.4 | + | 12953.8i | 0.317207 | + | 0.0614852i | ||||
\(460\) | 305094. | + | 453968.i | 1.44184 | + | 2.14541i | ||||
\(461\) | 104347. | + | 180735.i | 0.490998 | + | 0.850433i | 0.999946 | − | 0.0103639i | \(-0.00329898\pi\) |
−0.508949 | + | 0.860797i | \(0.669966\pi\) | |||||||
\(462\) | −11217.8 | − | 47472.6i | −0.0525562 | − | 0.222413i | ||||
\(463\) | −22687.9 | − | 13098.9i | −0.105836 | − | 0.0611044i | 0.446148 | − | 0.894959i | \(-0.352796\pi\) |
−0.551984 | + | 0.833855i | \(0.686129\pi\) | |||||||
\(464\) | −204261. | − | 263266.i | −0.948746 | − | 1.22281i | ||||
\(465\) | 215998. | − | 106957.i | 0.998950 | − | 0.494654i | ||||
\(466\) | −216401. | + | 231670.i | −0.996524 | + | 1.06684i | ||||
\(467\) | − | 96607.8i | − | 0.442974i | −0.975163 | − | 0.221487i | \(-0.928909\pi\) | ||
0.975163 | − | 0.221487i | \(-0.0710911\pi\) | |||||||
\(468\) | 226086. | + | 149131.i | 1.03224 | + | 0.680889i | ||||
\(469\) | 3002.97 | 0.0136523 | ||||||||
\(470\) | −263747. | − | 246363.i | −1.19396 | − | 1.11527i | ||||
\(471\) | 17515.7 | − | 26306.9i | 0.0789562 | − | 0.118584i | ||||
\(472\) | 126768. | + | 332753.i | 0.569017 | + | 1.49361i | ||||
\(473\) | −90084.9 | + | 156032.i | −0.402652 | + | 0.697413i | ||||
\(474\) | −53605.5 | + | 178621.i | −0.238590 | + | 0.795017i | ||||
\(475\) | −21008.5 | + | 12129.3i | −0.0931125 | + | 0.0537585i | ||||
\(476\) | 10171.6 | + | 15135.0i | 0.0448926 | + | 0.0667986i | ||||
\(477\) | −105527. | − | 13543.0i | −0.463794 | − | 0.0595220i | ||||
\(478\) | −172681. | + | 52634.7i | −0.755767 | + | 0.230365i | ||||
\(479\) | −29664.3 | + | 17126.7i | −0.129289 | + | 0.0746453i | −0.563250 | − | 0.826287i | \(-0.690449\pi\) |
0.433960 | + | 0.900932i | \(0.357116\pi\) | |||||||
\(480\) | −129665. | − | 336000.i | −0.562784 | − | 1.45833i | ||||
\(481\) | 183931. | − | 318577.i | 0.794994 | − | 1.37697i | ||||
\(482\) | 294801. | + | 68321.7i | 1.26892 | + | 0.294080i | ||||
\(483\) | 95895.6 | + | 6128.35i | 0.411059 | + | 0.0262693i | ||||
\(484\) | 33277.7 | + | 16300.1i | 0.142057 | + | 0.0695823i | ||||
\(485\) | 224280. | 0.953470 | ||||||||
\(486\) | −207240. | + | 113314.i | −0.877408 | + | 0.479745i | ||||
\(487\) | 69521.4i | 0.293130i | 0.989201 | + | 0.146565i | \(0.0468218\pi\) | ||||
−0.989201 | + | 0.146565i | \(0.953178\pi\) | |||||||
\(488\) | 22176.5 | − | 137763.i | 0.0931224 | − | 0.578486i | ||||
\(489\) | 24077.6 | − | 376762.i | 0.100692 | − | 1.57561i | ||||
\(490\) | −342939. | − | 79477.9i | −1.42832 | − | 0.331020i | ||||
\(491\) | −174305. | − | 100635.i | −0.723016 | − | 0.417433i | 0.0928458 | − | 0.995681i | \(-0.470404\pi\) |
−0.815862 | + | 0.578247i | \(0.803737\pi\) | |||||||
\(492\) | 9761.84 | + | 5580.06i | 0.0403275 | + | 0.0230520i | ||||
\(493\) | 60771.9 | + | 105260.i | 0.250040 | + | 0.433081i | ||||
\(494\) | −21501.0 | + | 6553.71i | −0.0881057 | + | 0.0268555i | ||||
\(495\) | 44732.8 | − | 348557.i | 0.182564 | − | 1.42254i | ||||
\(496\) | −162441. | − | 66268.0i | −0.660286 | − | 0.269365i | ||||
\(497\) | 28121.7 | + | 48708.2i | 0.113849 | + | 0.197192i | ||||
\(498\) | 19385.3 | − | 64594.6i | 0.0781653 | − | 0.260458i | ||||
\(499\) | 46850.8 | + | 27049.3i | 0.188155 | + | 0.108631i | 0.591119 | − | 0.806585i | \(-0.298687\pi\) |
−0.402964 | + | 0.915216i | \(0.632020\pi\) | |||||||
\(500\) | 11797.3 | + | 172896.i | 0.0471894 | + | 0.691582i | ||||
\(501\) | 51041.7 | + | 33984.7i | 0.203352 | + | 0.135397i | ||||
\(502\) | 228795. | + | 213715.i | 0.907902 | + | 0.848064i | ||||
\(503\) | 239548.i | 0.946795i | 0.880849 | + | 0.473397i | \(0.156973\pi\) | ||||
−0.880849 | + | 0.473397i | \(0.843027\pi\) | |||||||
\(504\) | −60679.4 | − | 17925.7i | −0.238880 | − | 0.0705691i | ||||
\(505\) | −609113. | −2.38844 | ||||||||
\(506\) | 265171. | − | 283881.i | 1.03568 | − | 1.10875i | ||||
\(507\) | −60355.7 | − | 121888.i | −0.234802 | − | 0.474181i | ||||
\(508\) | 130407. | − | 8898.22i | 0.505330 | − | 0.0344807i | ||||
\(509\) | −57738.0 | + | 100005.i | −0.222857 | + | 0.386000i | −0.955674 | − | 0.294426i | \(-0.904872\pi\) |
0.732817 | + | 0.680425i | \(0.238205\pi\) | |||||||
\(510\) | 30210.6 | + | 127848.i | 0.116150 | + | 0.491535i | ||||
\(511\) | −27109.9 | + | 15651.9i | −0.103821 | + | 0.0599412i | ||||
\(512\) | −120778. | + | 232663.i | −0.460733 | + | 0.887539i | ||||
\(513\) | 3730.16 | − | 19244.2i | 0.0141740 | − | 0.0731248i | ||||
\(514\) | 26838.8 | + | 88051.1i | 0.101587 | + | 0.333279i | ||||
\(515\) | 376584. | − | 217421.i | 1.41987 | − | 0.819761i | ||||
\(516\) | 117719. | + | 201881.i | 0.442126 | + | 0.758221i | ||||
\(517\) | −128163. | + | 221985.i | −0.479492 | + | 0.830505i | ||||
\(518\) | −19402.1 | + | 83718.1i | −0.0723086 | + | 0.312004i | ||||
\(519\) | −62894.8 | − | 127016.i | −0.233496 | − | 0.471545i | ||||
\(520\) | −83068.7 | + | 516031.i | −0.307207 | + | 1.90840i | ||||
\(521\) | 217267. | 0.800420 | 0.400210 | − | 0.916424i | \(-0.368937\pi\) | ||||
0.400210 | + | 0.916424i | \(0.368937\pi\) | |||||||
\(522\) | −395373. | − | 146735.i | −1.45100 | − | 0.538510i | ||||
\(523\) | − | 39683.4i | − | 0.145079i | −0.997366 | − | 0.0725397i | \(-0.976890\pi\) | ||
0.997366 | − | 0.0725397i | \(-0.0231104\pi\) | |||||||
\(524\) | −74207.4 | + | 151499.i | −0.270262 | + | 0.551757i | ||||
\(525\) | 82487.8 | + | 54922.3i | 0.299275 | + | 0.199265i | ||||
\(526\) | 78457.6 | − | 338536.i | 0.283572 | − | 1.22358i | ||||
\(527\) | 55419.6 | + | 31996.5i | 0.199546 | + | 0.115208i | ||||
\(528\) | −211680. | + | 143590.i | −0.759298 | + | 0.515057i | ||||
\(529\) | 242694. | + | 420359.i | 0.867258 | + | 1.50213i | ||||
\(530\) | −59863.7 | − | 196397.i | −0.213114 | − | 0.699170i | ||||
\(531\) | 358430. | + | 273181.i | 1.27120 | + | 0.968861i | ||||
\(532\) | 4358.26 | − | 2929.01i | 0.0153989 | − | 0.0103490i | ||||
\(533\) | −8159.11 | − | 14132.0i | −0.0287202 | − | 0.0497449i | ||||
\(534\) | 30582.2 | − | 28814.3i | 0.107247 | − | 0.101048i | ||||
\(535\) | −151107. | − | 87241.9i | −0.527932 | − | 0.304802i | ||||
\(536\) | −5605.90 | − | 14714.9i | −0.0195126 | − | 0.0512186i | ||||
\(537\) | 12913.3 | − | 202066.i | 0.0447806 | − | 0.700721i | ||||
\(538\) | 147672. | − | 158092.i | 0.510192 | − | 0.546191i | ||||
\(539\) | 250017.i | 0.860580i | ||||||||
\(540\) | −363713. | − | 274738.i | −1.24730 | − | 0.942175i | ||||
\(541\) | −194992. | −0.666228 | −0.333114 | − | 0.942887i | \(-0.608099\pi\) | ||||
−0.333114 | + | 0.942887i | \(0.608099\pi\) | |||||||
\(542\) | −140185. | − | 130945.i | −0.477201 | − | 0.445750i | ||||
\(543\) | −196225. | − | 12540.0i | −0.665510 | − | 0.0425304i | ||||
\(544\) | 55174.8 | − | 78095.7i | 0.186442 | − | 0.263894i | ||||
\(545\) | −92539.8 | + | 160284.i | −0.311556 | + | 0.539630i | ||||
\(546\) | 62969.0 | + | 66832.4i | 0.211223 | + | 0.224183i | ||||
\(547\) | 81637.9 | − | 47133.6i | 0.272846 | − | 0.157527i | −0.357335 | − | 0.933976i | \(-0.616314\pi\) |
0.630180 | + | 0.776449i | \(0.282981\pi\) | |||||||
\(548\) | −42836.3 | + | 28788.5i | −0.142643 | + | 0.0958647i | ||||
\(549\) | −68113.8 | − | 162937.i | −0.225991 | − | 0.540598i | ||||
\(550\) | 383218. | − | 116809.i | 1.26684 | − | 0.386144i | ||||
\(551\) | 30310.6 | − | 17499.9i | 0.0998371 | − | 0.0576410i | ||||
\(552\) | −148987. | − | 481340.i | −0.488955 | − | 1.57970i | ||||
\(553\) | −31613.4 | + | 54756.1i | −0.103376 | + | 0.179053i | ||||
\(554\) | −287280. | − | 66578.8i | −0.936022 | − | 0.216928i | ||||
\(555\) | −343113. | + | 515321.i | −1.11391 | + | 1.67299i | ||||
\(556\) | 132278. | − | 270053.i | 0.427894 | − | 0.873575i | ||||
\(557\) | −563587. | −1.81656 | −0.908282 | − | 0.418358i | \(-0.862606\pi\) | ||||
−0.908282 | + | 0.418358i | \(0.862606\pi\) | |||||||
\(558\) | −218904. | + | 37176.4i | −0.703050 | + | 0.119398i | ||||
\(559\) | − | 339154.i | − | 1.08536i | ||||||
\(560\) | −16586.0 | − | 120972.i | −0.0528889 | − | 0.385751i | ||||
\(561\) | 83611.6 | − | 41402.3i | 0.265669 | − | 0.131552i | ||||
\(562\) | 218699. | + | 50684.8i | 0.692428 | + | 0.160474i | ||||
\(563\) | −543509. | − | 313795.i | −1.71471 | − | 0.989986i | −0.927935 | − | 0.372741i | \(-0.878418\pi\) |
−0.786771 | − | 0.617245i | \(-0.788249\pi\) | |||||||
\(564\) | 167477. | + | 287214.i | 0.526499 | + | 0.902917i | ||||
\(565\) | −358473. | − | 620894.i | −1.12295 | − | 1.94500i | ||||
\(566\) | 584516. | − | 178166.i | 1.82458 | − | 0.556150i | ||||
\(567\) | −77213.0 | + | 21229.7i | −0.240173 | + | 0.0660356i | ||||
\(568\) | 186179. | − | 228727.i | 0.577077 | − | 0.708959i | ||||
\(569\) | 38859.9 | + | 67307.3i | 0.120026 | + | 0.207892i | 0.919778 | − | 0.392439i | \(-0.128369\pi\) |
−0.799751 | + | 0.600331i | \(0.795035\pi\) | |||||||
\(570\) | 36815.2 | − | 8699.44i | 0.113312 | − | 0.0267758i | ||||
\(571\) | −276094. | − | 159403.i | −0.846809 | − | 0.488905i | 0.0127640 | − | 0.999919i | \(-0.495937\pi\) |
−0.859573 | + | 0.511013i | \(0.829270\pi\) | |||||||
\(572\) | 370352. | − | 25270.6i | 1.13194 | − | 0.0772366i | ||||
\(573\) | 150705. | − | 74625.4i | 0.459007 | − | 0.227288i | ||||
\(574\) | 2785.83 | + | 2602.22i | 0.00845533 | + | 0.00789805i | ||||
\(575\) | 789186.i | 2.38695i | ||||||||
\(576\) | 25437.4 | + | 330799.i | 0.0766704 | + | 0.997056i | ||||
\(577\) | 40053.7 | 0.120307 | 0.0601534 | − | 0.998189i | \(-0.480841\pi\) | ||||
0.0601534 | + | 0.998189i | \(0.480841\pi\) | |||||||
\(578\) | 204242. | − | 218653.i | 0.611349 | − | 0.654485i | ||||
\(579\) | −229940. | + | 345348.i | −0.685896 | + | 1.03015i | ||||
\(580\) | −55403.5 | − | 811964.i | −0.164695 | − | 2.41369i | ||||
\(581\) | 11432.3 | − | 19801.4i | 0.0338675 | − | 0.0586602i | ||||
\(582\) | −197890. | − | 59388.3i | −0.584223 | − | 0.175329i | ||||
\(583\) | −126284. | + | 72910.3i | −0.371546 | + | 0.214512i | ||||
\(584\) | 127304. | + | 103623.i | 0.373266 | + | 0.303830i | ||||
\(585\) | 255140. | + | 610327.i | 0.745533 | + | 1.78341i | ||||
\(586\) | 45298.0 | + | 148611.i | 0.131912 | + | 0.432768i | ||||
\(587\) | −11894.5 | + | 6867.28i | −0.0345199 | + | 0.0199301i | −0.517161 | − | 0.855888i | \(-0.673011\pi\) |
0.482641 | + | 0.875818i | \(0.339678\pi\) | |||||||
\(588\) | 281542. | + | 160935.i | 0.814307 | + | 0.465474i | ||||
\(589\) | 9213.72 | − | 15958.6i | 0.0265586 | − | 0.0460008i | ||||
\(590\) | −196355. | + | 847250.i | −0.564076 | + | 2.43393i | ||||
\(591\) | 143120. | + | 9146.29i | 0.409756 | + | 0.0261861i | ||||
\(592\) | 446448. | − | 61210.8i | 1.27388 | − | 0.174656i | ||||
\(593\) | 537582. | 1.52875 | 0.764373 | − | 0.644775i | \(-0.223049\pi\) | ||||
0.764373 | + | 0.644775i | \(0.223049\pi\) | |||||||
\(594\) | −131766. | + | 295700.i | −0.373447 | + | 0.838066i | ||||
\(595\) | 44538.6i | 0.125806i | ||||||||
\(596\) | −109925. | − | 53843.7i | −0.309461 | − | 0.151580i | ||||
\(597\) | 42322.3 | − | 662253.i | 0.118746 | − | 1.85813i | ||||
\(598\) | −165095. | + | 712368.i | −0.461671 | + | 1.99206i | ||||
\(599\) | 394401. | + | 227708.i | 1.09922 | + | 0.634635i | 0.936016 | − | 0.351958i | \(-0.114484\pi\) |
0.163204 | + | 0.986592i | \(0.447817\pi\) | |||||||
\(600\) | 115139. | − | 506728.i | 0.319830 | − | 1.40758i | ||||
\(601\) | 118996. | + | 206108.i | 0.329446 | + | 0.570618i | 0.982402 | − | 0.186778i | \(-0.0598046\pi\) |
−0.652956 | + | 0.757396i | \(0.726471\pi\) | |||||||
\(602\) | 23100.9 | + | 75788.0i | 0.0637436 | + | 0.209126i | ||||
\(603\) | −15850.4 | − | 12080.5i | −0.0435919 | − | 0.0332240i | ||||
\(604\) | 10047.5 | + | 14950.3i | 0.0275412 | + | 0.0409803i | ||||
\(605\) | 45252.5 | + | 78379.7i | 0.123632 | + | 0.214137i | ||||
\(606\) | 537443. | + | 161290.i | 1.46348 | + | 0.439200i | ||||
\(607\) | 516142. | + | 297995.i | 1.40085 | + | 0.808781i | 0.994480 | − | 0.104927i | \(-0.0334608\pi\) |
0.406371 | + | 0.913708i | \(0.366794\pi\) | |||||||
\(608\) | −22488.4 | − | 15888.1i | −0.0608347 | − | 0.0429799i | ||||
\(609\) | −119012. | − | 79240.7i | −0.320889 | − | 0.213655i | ||||
\(610\) | 232640. | − | 249055.i | 0.625209 | − | 0.669324i | ||||
\(611\) | − | 482511.i | − | 1.29248i | ||||||
\(612\) | 7197.72 | − | 120805.i | 0.0192173 | − | 0.322539i | ||||
\(613\) | 547275. | 1.45641 | 0.728206 | − | 0.685358i | \(-0.240354\pi\) | ||||
0.728206 | + | 0.685358i | \(0.240354\pi\) | |||||||
\(614\) | −1337.41 | − | 1249.26i | −0.00354754 | − | 0.00331372i | ||||
\(615\) | 12186.7 | + | 24611.0i | 0.0322208 | + | 0.0650697i | ||||
\(616\) | −81038.4 | + | 30873.0i | −0.213565 | + | 0.0813611i | ||||
\(617\) | −259077. | + | 448735.i | −0.680549 | + | 1.17874i | 0.294265 | + | 0.955724i | \(0.404925\pi\) |
−0.974814 | + | 0.223021i | \(0.928408\pi\) | |||||||
\(618\) | −389846. | + | 92120.8i | −1.02074 | + | 0.241202i | ||||
\(619\) | 176869. | − | 102115.i | 0.461605 | − | 0.266508i | −0.251114 | − | 0.967958i | \(-0.580797\pi\) |
0.712719 | + | 0.701450i | \(0.247463\pi\) | |||||||
\(620\) | −239013. | − | 355642.i | −0.621781 | − | 0.925187i | ||||
\(621\) | −481507. | − | 418122.i | −1.24859 | − | 1.08423i | ||||
\(622\) | 41025.8 | − | 12505.1i | 0.106042 | − | 0.0323226i | ||||
\(623\) | 12337.1 | − | 7122.80i | 0.0317860 | − | 0.0183516i | ||||
\(624\) | 209937. | − | 433317.i | 0.539163 | − | 1.11285i | ||||
\(625\) | 70291.3 | − | 121748.i | 0.179946 | − | 0.311675i | ||||
\(626\) | 69954.7 | + | 16212.4i | 0.178512 | + | 0.0413712i | ||||
\(627\) | −11922.2 | − | 24076.8i | −0.0303264 | − | 0.0612440i | ||||
\(628\) | −50458.0 | − | 24715.4i | −0.127941 | − | 0.0626683i | ||||
\(629\) | −164370. | −0.415454 | ||||||||
\(630\) | −98585.6 | − | 119006.i | −0.248389 | − | 0.299840i | ||||
\(631\) | 177036.i | 0.444633i | 0.974975 | + | 0.222317i | \(0.0713618\pi\) | ||||
−0.974975 | + | 0.222317i | \(0.928638\pi\) | |||||||
\(632\) | 327327. | + | 52691.8i | 0.819497 | + | 0.131919i | ||||
\(633\) | 133484. | + | 88876.8i | 0.333137 | + | 0.221810i | ||||
\(634\) | −239149. | − | 55424.1i | −0.594963 | − | 0.137886i | ||||
\(635\) | 276480. | + | 159626.i | 0.685672 | + | 0.395873i | ||||
\(636\) | 814.947 | + | 189140.i | 0.00201472 | + | 0.467594i | ||||
\(637\) | −235317. | − | 407582.i | −0.579929 | − | 1.00447i | ||||
\(638\) | −552899. | + | 168529.i | −1.35833 | + | 0.414031i | ||||
\(639\) | 47513.4 | − | 370224.i | 0.116363 | − | 0.906698i | ||||
\(640\) | −561812. | + | 307101.i | −1.37161 | + | 0.749758i | ||||
\(641\) | −109444. | − | 189562.i | −0.266364 | − | 0.461356i | 0.701556 | − | 0.712614i | \(-0.252489\pi\) |
−0.967920 | + | 0.251258i | \(0.919156\pi\) | |||||||
\(642\) | 110226. | + | 116989.i | 0.267433 | + | 0.283841i | ||||
\(643\) | 298938. | + | 172592.i | 0.723035 | + | 0.417445i | 0.815869 | − | 0.578237i | \(-0.196259\pi\) |
−0.0928336 | + | 0.995682i | \(0.529592\pi\) | |||||||
\(644\) | −11629.3 | − | 170432.i | −0.0280402 | − | 0.410942i | ||||
\(645\) | −36402.6 | + | 569623.i | −0.0875009 | + | 1.36920i | ||||
\(646\) | 7339.66 | + | 6855.91i | 0.0175878 | + | 0.0164286i | ||||
\(647\) | − | 398251.i | − | 0.951366i | −0.879617 | − | 0.475683i | \(-0.842201\pi\) | ||
0.879617 | − | 0.475683i | \(-0.157799\pi\) | |||||||
\(648\) | 248168. | + | 338721.i | 0.591011 | + | 0.806663i | ||||
\(649\) | 617681. | 1.46648 | ||||||||
\(650\) | −514787. | + | 551110.i | −1.21843 | + | 1.30440i | ||||
\(651\) | −75125.4 | − | 4801.00i | −0.177266 | − | 0.0113284i | ||||
\(652\) | −669609. | + | 45690.1i | −1.57517 | + | 0.107480i | ||||
\(653\) | 171144. | − | 296430.i | 0.401361 | − | 0.695178i | −0.592529 | − | 0.805549i | \(-0.701871\pi\) |
0.993890 | + | 0.110371i | \(0.0352040\pi\) | |||||||
\(654\) | 124094. | − | 116920.i | 0.290131 | − | 0.273359i | ||||
\(655\) | −356830. | + | 206016.i | −0.831722 | + | 0.480195i | ||||
\(656\) | 7550.63 | − | 18508.7i | 0.0175459 | − | 0.0430098i | ||||
\(657\) | 206058. | + | 26444.9i | 0.477374 | + | 0.0612648i | ||||
\(658\) | 32865.5 | + | 107823.i | 0.0759082 | + | 0.249035i | ||||
\(659\) | −452868. | + | 261464.i | −1.04280 | + | 0.602061i | −0.920625 | − | 0.390447i | \(-0.872320\pi\) |
−0.122175 | + | 0.992509i | \(0.538987\pi\) | |||||||
\(660\) | −624734. | + | 2691.79i | −1.43419 | + | 0.00617950i | ||||
\(661\) | −154294. | + | 267245.i | −0.353140 | + | 0.611656i | −0.986798 | − | 0.161957i | \(-0.948219\pi\) |
0.633658 | + | 0.773613i | \(0.281553\pi\) | |||||||
\(662\) | 167883. | − | 724395.i | 0.383080 | − | 1.65295i | ||||
\(663\) | −97337.1 | + | 146191.i | −0.221438 | + | 0.332577i | ||||
\(664\) | −118371. | − | 19054.9i | −0.268478 | − | 0.0432185i | ||||
\(665\) | 12825.3 | 0.0290018 | ||||||||
\(666\) | 439196. | − | 363832.i | 0.990170 | − | 0.820262i | ||||
\(667\) | − | 1.13862e6i | − | 2.55934i | ||||||
\(668\) | 47953.8 | − | 97900.8i | 0.107466 | − | 0.219398i | ||||
\(669\) | −543453. | + | 269104.i | −1.21425 | + | 0.601267i | ||||
\(670\) | 8683.16 | − | 37466.9i | 0.0193432 | − | 0.0834637i | ||||
\(671\) | −209620. | − | 121024.i | −0.465573 | − | 0.268798i | ||||
\(672\) | −17398.3 | + | 111129.i | −0.0385273 | + | 0.246088i | ||||
\(673\) | 124260. | + | 215225.i | 0.274348 | + | 0.475184i | 0.969970 | − | 0.243223i | \(-0.0782047\pi\) |
−0.695623 | + | 0.718407i | \(0.744871\pi\) | |||||||
\(674\) | 172604. | + | 566269.i | 0.379955 | + | 1.24653i | ||||
\(675\) | −214446. | − | 621730.i | −0.470663 | − | 1.36457i | ||||
\(676\) | −200689. | + | 134875.i | −0.439168 | + | 0.295147i | ||||
\(677\) | −134761. | − | 233413.i | −0.294027 | − | 0.509270i | 0.680731 | − | 0.732533i | \(-0.261662\pi\) |
−0.974758 | + | 0.223264i | \(0.928329\pi\) | |||||||
\(678\) | 151884. | + | 642759.i | 0.330410 | + | 1.39826i | ||||
\(679\) | −60663.0 | − | 35023.8i | −0.131578 | − | 0.0759668i | ||||
\(680\) | 218244. | − | 83143.9i | 0.471981 | − | 0.179809i | ||||
\(681\) | −506458. | + | 250785.i | −1.09207 | + | 0.540763i | ||||
\(682\) | −207737. | + | 222395.i | −0.446627 | + | 0.478140i | ||||
\(683\) | − | 124482.i | − | 0.266848i | −0.991059 | − | 0.133424i | \(-0.957403\pi\) | ||
0.991059 | − | 0.133424i | \(-0.0425972\pi\) | |||||||
\(684\) | −34787.0 | − | 2072.65i | −0.0743540 | − | 0.00443011i | ||||
\(685\) | −126057. | −0.268649 | ||||||||
\(686\) | 166007. | + | 155066.i | 0.352760 | + | 0.329510i | ||||
\(687\) | 204137. | − | 306594.i | 0.432523 | − | 0.649606i | ||||
\(688\) | 328246. | − | 254677.i | 0.693461 | − | 0.538038i | ||||
\(689\) | 137247. | − | 237719.i | 0.289111 | − | 0.500756i | ||||
\(690\) | 353745. | − | 1.17873e6i | 0.743006 | − | 2.47580i | ||||
\(691\) | −771402. | + | 445369.i | −1.61557 | + | 0.932747i | −0.627518 | + | 0.778602i | \(0.715929\pi\) |
−0.988048 | + | 0.154145i | \(0.950738\pi\) | |||||||
\(692\) | −209132. | + | 140549.i | −0.436726 | + | 0.293506i | ||||
\(693\) | −66530.4 | + | 87291.9i | −0.138533 | + | 0.181764i | ||||
\(694\) | −554723. | + | 169085.i | −1.15175 | + | 0.351064i | ||||
\(695\) | 636063. | − | 367231.i | 1.31683 | − | 0.760274i | ||||
\(696\) | −166120. | + | 731096.i | −0.342928 | + | 1.50923i | ||||
\(697\) | −3645.71 | + | 6314.56i | −0.00750442 | + | 0.0129980i | ||||
\(698\) | −697324. | − | 161609.i | −1.43128 | − | 0.331707i | ||||
\(699\) | 711839. | + | 45491.1i | 1.45689 | + | 0.0931048i | ||||
\(700\) | 77497.5 | − | 158216.i | 0.158158 | − | 0.322890i | ||||
\(701\) | −170934. | −0.347851 | −0.173925 | − | 0.984759i | \(-0.555645\pi\) | ||||
−0.173925 | + | 0.984759i | \(0.555645\pi\) | |||||||
\(702\) | −63507.7 | − | 606074.i | −0.128870 | − | 1.22985i | ||||
\(703\) | 47332.1i | 0.0957734i | ||||||||
\(704\) | 302562. | + | 339464.i | 0.610477 | + | 0.684934i | ||||
\(705\) | −51789.7 | + | 810398.i | −0.104199 | + | 1.63050i | ||||
\(706\) | 102855. | + | 23837.3i | 0.206356 | + | 0.0478242i | ||||
\(707\) | 164752. | + | 95119.7i | 0.329604 | + | 0.190297i | ||||
\(708\) | 397599. | − | 695566.i | 0.793193 | − | 1.38762i | ||||
\(709\) | 350963. | + | 607886.i | 0.698183 | + | 1.20929i | 0.969096 | + | 0.246684i | \(0.0793410\pi\) |
−0.270913 | + | 0.962604i | \(0.587326\pi\) | |||||||
\(710\) | 689028. | − | 210022.i | 1.36685 | − | 0.416628i | ||||
\(711\) | 387140. | − | 161839.i | 0.765823 | − | 0.320144i | ||||
\(712\) | −57933.2 | − | 47156.3i | −0.114279 | − | 0.0930206i | ||||
\(713\) | −299744. | − | 519171.i | −0.589618 | − | 1.02125i | ||||
\(714\) | 11793.6 | − | 39298.0i | 0.0231340 | − | 0.0770858i | ||||
\(715\) | 785193. | + | 453331.i | 1.53590 | + | 0.886755i | ||||
\(716\) | −359127. | + | 24504.6i | −0.700522 | + | 0.0477994i | ||||
\(717\) | 338093. | + | 225110.i | 0.657655 | + | 0.437882i | ||||
\(718\) | −530147. | − | 495206.i | −1.02837 | − | 0.960587i | ||||
\(719\) | − | 768366.i | − | 1.48631i | −0.669117 | − | 0.743157i | \(-0.733328\pi\) | ||
0.669117 | − | 0.743157i | \(-0.266672\pi\) | |||||||
\(720\) | −399108. | + | 705240.i | −0.769883 | + | 1.36042i | ||||
\(721\) | −135811. | −0.261255 | ||||||||
\(722\) | −353862. | + | 378830.i | −0.678827 | + | 0.726724i | ||||
\(723\) | −302141. | − | 610173.i | −0.578008 | − | 1.16728i | ||||
\(724\) | 23796.2 | + | 348745.i | 0.0453974 | + | 0.665320i | ||||
\(725\) | 587133. | − | 1.01695e6i | 1.11702 | − | 1.93473i | ||||
\(726\) | −19173.4 | − | 81139.9i | −0.0363769 | − | 0.153943i | ||||
\(727\) | −221493. | + | 127879.i | −0.419074 | + | 0.241952i | −0.694681 | − | 0.719318i | \(-0.744454\pi\) |
0.275607 | + | 0.961270i | \(0.411121\pi\) | |||||||
\(728\) | 103052. | − | 126604.i | 0.194444 | − | 0.238882i | ||||
\(729\) | 492953. | + | 198562.i | 0.927578 | + | 0.373629i | ||||
\(730\) | 116894. | + | 383497.i | 0.219354 | + | 0.719642i | ||||
\(731\) | −131240. | + | 75771.6i | −0.245602 | + | 0.141799i | ||||
\(732\) | −271216. | + | 158149.i | −0.506166 | + | 0.295150i | ||||
\(733\) | −184829. | + | 320133.i | −0.344003 | + | 0.595831i | −0.985172 | − | 0.171569i | \(-0.945116\pi\) |
0.641169 | + | 0.767400i | \(0.278450\pi\) | |||||||
\(734\) | −188746. | + | 814416.i | −0.350336 | + | 1.51166i | ||||
\(735\) | 351478. | + | 709807.i | 0.650614 | + | 1.31391i | ||||
\(736\) | −813429. | + | 375145.i | −1.50163 | + | 0.692539i | ||||
\(737\) | −27314.9 | −0.0502881 | ||||||||
\(738\) | −4235.91 | − | 24942.2i | −0.00777739 | − | 0.0457954i | ||||
\(739\) | 1.03557e6i | 1.89623i | 0.317932 | + | 0.948114i | \(0.397012\pi\) | ||||
−0.317932 | + | 0.948114i | \(0.602988\pi\) | |||||||
\(740\) | 988415. | + | 484146.i | 1.80500 | + | 0.884123i | ||||
\(741\) | 42097.0 | + | 28029.2i | 0.0766681 | + | 0.0510474i | ||||
\(742\) | −14477.7 | + | 62469.6i | −0.0262961 | + | 0.113465i | ||||
\(743\) | 486002. | + | 280593.i | 0.880360 | + | 0.508276i | 0.870777 | − | 0.491678i | \(-0.163616\pi\) |
0.00958322 | + | 0.999954i | \(0.496950\pi\) | |||||||
\(744\) | 116717. | + | 377085.i | 0.210858 | + | 0.681230i | ||||
\(745\) | −149482. | − | 258910.i | −0.269324 | − | 0.466483i | ||||
\(746\) | 89331.1 | + | 293072.i | 0.160518 | + | 0.526618i | ||||
\(747\) | −140001. | + | 58525.8i | −0.250894 | + | 0.104883i | ||||
\(748\) | −92520.5 | − | 137667.i | −0.165362 | − | 0.246052i | ||||
\(749\) | 27247.6 | + | 47194.2i | 0.0485696 | + | 0.0841250i | ||||
\(750\) | 283796. | − | 267390.i | 0.504525 | − | 0.475360i | ||||
\(751\) | −164898. | − | 95204.1i | −0.292372 | − | 0.168801i | 0.346639 | − | 0.937999i | \(-0.387323\pi\) |
−0.639011 | + | 0.769197i | \(0.720656\pi\) | |||||||
\(752\) | 466993. | − | 362327.i | 0.825799 | − | 0.640715i | ||||
\(753\) | 44926.5 | − | 703004.i | 0.0792342 | − | 1.23985i | ||||
\(754\) | 742725. | − | 795131.i | 1.30643 | − | 1.39861i | ||||
\(755\) | 43995.1i | 0.0771810i | ||||||||
\(756\) | 55473.3 | + | 131109.i | 0.0970601 | + | 0.229397i | ||||
\(757\) | 523077. | 0.912797 | 0.456398 | − | 0.889776i | \(-0.349139\pi\) | ||||
0.456398 | + | 0.889776i | \(0.349139\pi\) | |||||||
\(758\) | −678508. | − | 633788.i | −1.18091 | − | 1.10308i | ||||
\(759\) | −872263. | − | 55743.3i | −1.51413 | − | 0.0967629i | ||||
\(760\) | −23942.1 | − | 62845.6i | −0.0414510 | − | 0.108805i | ||||
\(761\) | 80448.7 | − | 139341.i | 0.138915 | − | 0.240608i | −0.788171 | − | 0.615456i | \(-0.788972\pi\) |
0.927086 | + | 0.374848i | \(0.122305\pi\) | |||||||
\(762\) | −201680. | − | 214054.i | −0.347339 | − | 0.368650i | ||||
\(763\) | 50060.1 | − | 28902.2i | 0.0859890 | − | 0.0496458i | ||||
\(764\) | −166763. | − | 248137.i | −0.285702 | − | 0.425114i | ||||
\(765\) | 179173. | − | 235085.i | 0.306160 | − | 0.401701i | ||||
\(766\) | −327467. | + | 99815.1i | −0.558097 | + | 0.170113i | ||||
\(767\) | −1.00695e6 | + | 581365.i | −1.71167 | + | 0.988231i | ||||
\(768\) | 577026. | − | 122201.i | 0.978302 | − | 0.207182i | ||||
\(769\) | 297804. | − | 515812.i | 0.503591 | − | 0.872246i | −0.496400 | − | 0.868094i | \(-0.665345\pi\) |
0.999991 | − | 0.00415186i | \(-0.00132158\pi\) | |||||||
\(770\) | −206339. | − | 47820.2i | −0.348016 | − | 0.0806547i | ||||
\(771\) | 114785. | − | 172396.i | 0.193098 | − | 0.290014i | ||||
\(772\) | 662396. | + | 324455.i | 1.11143 | + | 0.544402i | ||||
\(773\) | −583394. | −0.976345 | −0.488172 | − | 0.872747i | \(-0.662336\pi\) | ||||
−0.488172 | + | 0.872747i | \(0.662336\pi\) | |||||||
\(774\) | 182953. | − | 492960.i | 0.305392 | − | 0.822867i | ||||
\(775\) | − | 618255.i | − | 1.02935i | ||||||
\(776\) | −58376.0 | + | 362638.i | −0.0969418 | + | 0.602212i | ||||
\(777\) | 173278. | − | 85802.7i | 0.287013 | − | 0.142121i | ||||
\(778\) | 474381. | + | 109940.i | 0.783732 | + | 0.181634i | ||||
\(779\) | 1818.34 | + | 1049.82i | 0.00299640 | + | 0.00172997i | ||||
\(780\) | 1.01592e6 | − | 592392.i | 1.66982 | − | 0.973688i | ||||
\(781\) | −255794. | − | 443049.i | −0.419362 | − | 0.726356i | ||||
\(782\) | 312545. | − | 95266.9i | 0.511092 | − | 0.155786i | ||||
\(783\) | 309398. | + | 897020.i | 0.504654 | + | 1.46312i | ||||
\(784\) | 217768. | − | 533810.i | 0.354293 | − | 0.868469i | ||||
\(785\) | −68615.2 | − | 118845.i | −0.111348 | − | 0.192860i | ||||
\(786\) | 369396. | − | 87288.3i | 0.597925 | − | 0.141290i | ||||
\(787\) | 151046. | + | 87206.2i | 0.243870 | + | 0.140798i | 0.616954 | − | 0.786999i | \(-0.288366\pi\) |
−0.373084 | + | 0.927798i | \(0.621700\pi\) | |||||||
\(788\) | −17356.2 | − | 254363.i | −0.0279513 | − | 0.409639i | ||||
\(789\) | −700695. | + | 346966.i | −1.12558 | + | 0.557355i | ||||
\(790\) | 591759. | + | 552757.i | 0.948180 | + | 0.885687i | ||||
\(791\) | 223918.i | 0.357879i | ||||||||
\(792\) | 551938. | + | 163051.i | 0.879914 | + | 0.259941i | ||||
\(793\) | 455635. | 0.724553 | ||||||||
\(794\) | 195749. | − | 209560.i | 0.310497 | − | 0.332406i | ||||
\(795\) | −256028. | + | 384528.i | −0.405091 | + | 0.608406i | ||||
\(796\) | −1.17700e6 | + | 80311.6i | −1.85760 | + | 0.126751i | ||||
\(797\) | −423576. | + | 733655.i | −0.666829 | + | 1.15498i | 0.311957 | + | 0.950096i | \(0.399016\pi\) |
−0.978786 | + | 0.204886i | \(0.934318\pi\) | |||||||
\(798\) | −11316.3 | − | 3396.09i | −0.0177704 | − | 0.00533302i | ||||
\(799\) | −186715. | + | 107800.i | −0.292472 | + | 0.168859i | ||||
\(800\) | −919949. | − | 84391.1i | −1.43742 | − | 0.131861i | ||||
\(801\) | −93772.0 | − | 12034.4i | −0.146153 | − | 0.0187569i | ||||
\(802\) | 100626. | + | 330127.i | 0.156445 | + | 0.513254i | ||||
\(803\) | 246591. | − | 142369.i | 0.382425 | − | 0.220793i | ||||
\(804\) | −17582.5 | + | 30759.1i | −0.0272000 | + | 0.0475841i | ||||
\(805\) | 208619. | − | 361338.i | 0.321930 | − | 0.557599i | ||||
\(806\) | 129337. | − | 558075.i | 0.199091 | − | 0.859058i | ||||
\(807\) | −485759. | − | 31043.1i | −0.745888 | − | 0.0476671i | ||||
\(808\) | 158541. | − | 984873.i | 0.242839 | − | 1.50854i | ||||
\(809\) | 43118.8 | 0.0658824 | 0.0329412 | − | 0.999457i | \(-0.489513\pi\) | ||||
0.0329412 | + | 0.999457i | \(0.489513\pi\) | |||||||
\(810\) | 41611.8 | + | 1.02474e6i | 0.0634230 | + | 1.56187i | ||||
\(811\) | − | 372984.i | − | 0.567085i | −0.958960 | − | 0.283543i | \(-0.908490\pi\) | ||
0.958960 | − | 0.283543i | \(-0.0915097\pi\) | |||||||
\(812\) | −111812. | + | 228271.i | −0.169580 | + | 0.346209i | ||||
\(813\) | −27526.9 | + | 430737.i | −0.0416462 | + | 0.651674i | ||||
\(814\) | 176481. | − | 761497.i | 0.266348 | − | 1.14926i | ||||
\(815\) | −1.41966e6 | − | 819638.i | −2.13731 | − | 1.23398i | ||||
\(816\) | −214581. | + | 15570.9i | −0.322263 | + | 0.0233847i | ||||
\(817\) | 21819.2 | + | 37791.9i | 0.0326885 | + | 0.0566181i | ||||
\(818\) | −268778. | − | 881791.i | −0.401687 | − | 1.31783i | ||||
\(819\) | 26299.3 | − | 204924.i | 0.0392081 | − | 0.305509i | ||||
\(820\) | 40522.2 | − | 27233.3i | 0.0602650 | − | 0.0405017i | ||||
\(821\) | 665022. | + | 1.15185e6i | 0.986620 | + | 1.70888i | 0.634504 | + | 0.772920i | \(0.281204\pi\) |
0.352116 | + | 0.935956i | \(0.385462\pi\) | |||||||
\(822\) | 111225. | + | 33379.3i | 0.164611 | + | 0.0494008i | ||||
\(823\) | 636230. | + | 367328.i | 0.939322 | + | 0.542318i | 0.889748 | − | 0.456452i | \(-0.150880\pi\) |
0.0495745 | + | 0.998770i | \(0.484213\pi\) | |||||||
\(824\) | 253530. | + | 665489.i | 0.373400 | + | 0.980136i | ||||
\(825\) | −750307. | − | 499572.i | −1.10238 | − | 0.733990i | ||||
\(826\) | 185417. | − | 198500.i | 0.271763 | − | 0.290938i | ||||
\(827\) | 1.27112e6i | 1.85856i | 0.369375 | + | 0.929281i | \(0.379572\pi\) | ||||
−0.369375 | + | 0.929281i | \(0.620428\pi\) | |||||||
\(828\) | −624245. | + | 946367.i | −0.910530 | + | 1.38038i | ||||
\(829\) | −427267. | −0.621714 | −0.310857 | − | 0.950457i | \(-0.600616\pi\) | ||||
−0.310857 | + | 0.950457i | \(0.600616\pi\) | |||||||
\(830\) | −213997. | − | 199893.i | −0.310636 | − | 0.290163i | ||||
\(831\) | 294433. | + | 594607.i | 0.426369 | + | 0.861049i | ||||
\(832\) | −812748. | − | 268627.i | −1.17411 | − | 0.388064i | ||||
\(833\) | −105146. | + | 182119.i | −0.151532 | + | 0.262461i | ||||
\(834\) | −658463. | + | 155595.i | −0.946671 | + | 0.223699i | ||||
\(835\) | 230588. | − | 133130.i | 0.330723 | − | 0.190943i | ||||
\(836\) | −39642.6 | + | 26642.2i | −0.0567217 | + | 0.0381204i | ||||
\(837\) | 377216. | + | 327560.i | 0.538443 | + | 0.467563i | ||||
\(838\) | −212831. | + | 64873.0i | −0.303073 | + | 0.0923796i | ||||
\(839\) | 601815. | − | 347458.i | 0.854947 | − | 0.493604i | −0.00737025 | − | 0.999973i | \(-0.502346\pi\) |
0.862317 | + | 0.506369i | \(0.169013\pi\) | |||||||
\(840\) | −186669. | + | 201575.i | −0.264554 | + | 0.285679i | ||||
\(841\) | −493464. | + | 854704.i | −0.697691 | + | 1.20844i | ||||
\(842\) | 549327. | + | 127310.i | 0.774830 | + | 0.179571i | ||||
\(843\) | −224145. | − | 452659.i | −0.315409 | − | 0.636966i | ||||
\(844\) | 125409. | − | 256030.i | 0.176053 | − | 0.359423i | ||||
\(845\) | −590581. | −0.827115 | ||||||||
\(846\) | 260285. | − | 701330.i | 0.363671 | − | 0.979900i | ||||
\(847\) | − | 28266.7i | − | 0.0394011i | ||||||
\(848\) | 333135. | − | 45674.9i | 0.463264 | − | 0.0635164i | ||||
\(849\) | −1.14443e6 | − | 761988.i | −1.58772 | − | 1.05714i | ||||
\(850\) | 328270. | + | 76078.5i | 0.454354 | + | 0.105299i | ||||
\(851\) | 1.33353e6 | + | 769911.i | 1.84137 | + | 1.06312i | ||||
\(852\) | −663567. | + | 2859.11i | −0.914125 | + | 0.00393869i | ||||
\(853\) | −72314.7 | − | 125253.i | −0.0993867 | − | 0.172143i | 0.812044 | − | 0.583596i | \(-0.198355\pi\) |
−0.911431 | + | 0.411453i | \(0.865021\pi\) | |||||||
\(854\) | −101817. | + | 31034.8i | −0.139606 | + | 0.0425534i | ||||
\(855\) | −67695.2 | − | 51594.6i | −0.0926031 | − | 0.0705784i | ||||
\(856\) | 180392. | − | 221618.i | 0.246189 | − | 0.302452i | ||||
\(857\) | 318005. | + | 550800.i | 0.432984 | + | 0.749951i | 0.997129 | − | 0.0757255i | \(-0.0241273\pi\) |
−0.564145 | + | 0.825676i | \(0.690794\pi\) | |||||||
\(858\) | −572764. | − | 607906.i | −0.778039 | − | 0.825775i | ||||
\(859\) | −1.16908e6 | − | 674970.i | −1.58438 | − | 0.914741i | −0.994209 | − | 0.107460i | \(-0.965728\pi\) |
−0.590168 | − | 0.807281i | \(-0.700938\pi\) | |||||||
\(860\) | 1.01237e6 | − | 69078.3i | 1.36881 | − | 0.0933996i | ||||
\(861\) | 547.030 | − | 8559.85i | 0.000737912 | − | 0.0115467i | ||||
\(862\) | 558359. | + | 521558.i | 0.751448 | + | 0.701921i | ||||
\(863\) | − | 916363.i | − | 1.23040i | −0.788372 | − | 0.615199i | \(-0.789076\pi\) | ||
0.788372 | − | 0.615199i | \(-0.210924\pi\) | |||||||
\(864\) | 538891. | − | 516577.i | 0.721895 | − | 0.692003i | ||||
\(865\) | −615427. | −0.822515 | ||||||||
\(866\) | −131727. | + | 141021.i | −0.175646 | + | 0.188039i | ||||
\(867\) | −671842. | − | 42935.0i | −0.893776 | − | 0.0571181i | ||||
\(868\) | 9110.47 | + | 133518.i | 0.0120921 | + | 0.177215i | ||||
\(869\) | 287555. | − | 498060.i | 0.380786 | − | 0.659541i | ||||
\(870\) | −1.33278e6 | + | 1.25574e6i | −1.76084 | + | 1.65905i | ||||
\(871\) | 44529.3 | − | 25709.0i | 0.0586961 | − | 0.0338882i | ||||
\(872\) | −235076. | − | 191346.i | −0.309154 | − | 0.251644i | ||||
\(873\) | 179298. | + | 428903.i | 0.235260 | + | 0.562770i | ||||
\(874\) | −27433.0 | − | 90000.5i | −0.0359129 | − | 0.117821i | ||||
\(875\) | 114485. | − | 66097.9i | 0.149531 | − | 0.0863319i | ||||
\(876\) | −1591.32 | − | 369327.i | −0.00207371 | − | 0.481285i | ||||
\(877\) | 273128. | − | 473071.i | 0.355113 | − | 0.615074i | −0.632024 | − | 0.774949i | \(-0.717776\pi\) |
0.987137 | + | 0.159875i | \(0.0511090\pi\) | |||||||
\(878\) | −236799. | + | 1.02176e6i | −0.307178 | + | 1.32544i | ||||
\(879\) | 193732. | − | 290967.i | 0.250741 | − | 0.376587i | ||||
\(880\) | 150865. | + | 1.10035e6i | 0.194816 | + | 1.42091i | ||||
\(881\) | 446863. | 0.575735 | 0.287867 | − | 0.957670i | \(-0.407054\pi\) | ||||
0.287867 | + | 0.957670i | \(0.407054\pi\) | |||||||
\(882\) | −122168. | − | 719359.i | −0.157044 | − | 0.924716i | ||||
\(883\) | 140436.i | 0.180119i | 0.995936 | + | 0.0900593i | \(0.0287056\pi\) | ||||
−0.995936 | + | 0.0900593i | \(0.971294\pi\) | |||||||
\(884\) | 280402. | + | 137346.i | 0.358820 | + | 0.175757i | ||||
\(885\) | 1.75362e6 | − | 868347.i | 2.23897 | − | 1.10868i | ||||
\(886\) | 82165.5 | − | 354535.i | 0.104670 | − | 0.451639i | ||||
\(887\) | −307169. | − | 177344.i | −0.390418 | − | 0.225408i | 0.291923 | − | 0.956442i | \(-0.405705\pi\) |
−0.682341 | + | 0.731034i | \(0.739038\pi\) | |||||||
\(888\) | −743915. | − | 688907.i | −0.943404 | − | 0.873644i | ||||
\(889\) | −49854.7 | − | 86350.9i | −0.0630816 | − | 0.109261i | ||||
\(890\) | −53195.5 | − | 174520.i | −0.0671575 | − | 0.220326i | ||||
\(891\) | 702327. | − | 193105.i | 0.884675 | − | 0.243242i | ||||
\(892\) | 601358. | + | 894798.i | 0.755794 | + | 1.12459i | ||||
\(893\) | 31042.0 | + | 53766.3i | 0.0389266 | + | 0.0674229i | ||||
\(894\) | 63335.0 | + | 268028.i | 0.0792445 | + | 0.335355i | ||||
\(895\) | −761394. | − | 439591.i | −0.950525 | − | 0.548786i | ||||
\(896\) | 199916. | + | 4668.90i | 0.249018 | + | 0.00581565i | ||||
\(897\) | 1.47444e6 | − | 730106.i | 1.83250 | − | 0.907405i | ||||
\(898\) | −773674. | + | 828264.i | −0.959412 | + | 1.02711i | ||||
\(899\) | 892005.i | 1.10369i | ||||||||
\(900\) | −1.04553e6 | + | 523342.i | −1.29078 | + | 0.646101i | ||||
\(901\) | −122652. | −0.151086 | ||||||||
\(902\) | −25339.8 | − | 23669.7i | −0.0311452 | − | 0.0290924i | ||||
\(903\) | 98799.0 | − | 148386.i | 0.121165 | − | 0.181978i | ||||
\(904\) | 1.09723e6 | − | 418007.i | 1.34264 | − | 0.511501i | ||||
\(905\) | −426883. | + | 739383.i | −0.521209 | + | 0.902760i | ||||
\(906\) | 11649.7 | − | 38818.5i | 0.0141925 | − | 0.0472914i | ||||
\(907\) | 1.27955e6 | − | 738746.i | 1.55540 | − | 0.898008i | 0.557709 | − | 0.830037i | \(-0.311681\pi\) |
0.997687 | − | 0.0679717i | \(-0.0216528\pi\) | |||||||
\(908\) | 560422. | + | 833887.i | 0.679741 | + | 1.01143i | ||||
\(909\) | −486948. | − | 1.16484e6i | −0.589325 | − | 1.40974i | ||||
\(910\) | 381386. | − | 116250.i | 0.460555 | − | 0.140382i | ||||
\(911\) | 41701.0 | − | 24076.1i | 0.0502470 | − | 0.0290101i | −0.474666 | − | 0.880166i | \(-0.657431\pi\) |
0.524913 | + | 0.851156i | \(0.324098\pi\) | |||||||
\(912\) | 4483.78 | + | 61790.7i | 0.00539082 | + | 0.0742905i | ||||
\(913\) | −103988. | + | 180113.i | −0.124751 | + | 0.216074i | ||||
\(914\) | 773317. | + | 179221.i | 0.925690 | + | 0.214534i | ||||
\(915\) | −765257. | − | 48904.9i | −0.914040 | − | 0.0584131i | ||||
\(916\) | −588065. | − | 288046.i | −0.700865 | − | 0.343297i | ||||
\(917\) | 128687. | 0.153036 | ||||||||
\(918\) | −220340. | + | 159980.i | −0.261462 | + | 0.189837i | ||||
\(919\) | − | 346372.i | − | 0.410120i | −0.978749 | − | 0.205060i | \(-0.934261\pi\) | ||
0.978749 | − | 0.205060i | \(-0.0657390\pi\) | |||||||
\(920\) | −2.16004e6 | − | 347716.i | −2.55204 | − | 0.410817i | ||||
\(921\) | −262.615 | + | 4109.37i | −0.000309600 | + | 0.00484458i | ||||
\(922\) | −813225. | − | 188469.i | −0.956641 | − | 0.221707i | ||||
\(923\) | 834000. | + | 481510.i | 0.978955 | + | 0.565200i | ||||
\(924\) | 169398. | + | 96831.0i | 0.198410 | + | 0.113415i | ||||
\(925\) | 794014. | + | 1.37527e6i | 0.927993 | + | 1.60733i | ||||
\(926\) | 100238. | − | 30553.5i | 0.116899 | − | 0.0356319i | ||||
\(927\) | 716843. | + | 546349.i | 0.834189 | + | 0.635786i | ||||
\(928\) | 1.32728e6 | + | 121758.i | 1.54123 | + | 0.141384i | ||||
\(929\) | −435392. | − | 754120.i | −0.504485 | − | 0.873794i | −0.999987 | − | 0.00518706i | \(-0.998349\pi\) |
0.495501 | − | 0.868607i | \(-0.334984\pi\) | |||||||
\(930\) | −277127. | + | 923427.i | −0.320415 | + | 1.06767i | ||||
\(931\) | 52442.9 | + | 30277.9i | 0.0605044 | + | 0.0349322i | ||||
\(932\) | −86324.9 | − | 1.26513e6i | −0.0993812 | − | 1.45648i | ||||
\(933\) | −80325.0 | − | 53482.2i | −0.0922757 | − | 0.0614393i | ||||
\(934\) | 282396. | + | 263783.i | 0.323716 | + | 0.302380i | ||||
\(935\) | − | 405122.i | − | 0.463407i | ||||||
\(936\) | −1.05324e6 | + | 253678.i | −1.20220 | + | 0.289555i | ||||
\(937\) | −1.00280e6 | −1.14219 | −0.571094 | − | 0.820885i | \(-0.693481\pi\) | ||||
−0.571094 | + | 0.820885i | \(0.693481\pi\) | |||||||
\(938\) | −8199.48 | + | 8778.03i | −0.00931924 | + | 0.00997680i | ||||
\(939\) | −71696.6 | − | 144791.i | −0.0813144 | − | 0.164214i | ||||
\(940\) | 1.44030e6 | − | 98277.2i | 1.63003 | − | 0.111224i | ||||
\(941\) | 630949. | − | 1.09284e6i | 0.712550 | − | 1.23417i | −0.251348 | − | 0.967897i | \(-0.580874\pi\) |
0.963897 | − | 0.266275i | \(-0.0857930\pi\) | |||||||
\(942\) | 29072.1 | + | 123030.i | 0.0327623 | + | 0.138647i | ||||
\(943\) | 59154.8 | − | 34153.0i | 0.0665222 | − | 0.0384066i | ||||
\(944\) | −1.31881e6 | − | 538010.i | −1.47992 | − | 0.603735i | ||||
\(945\) | −66165.9 | + | 341355.i | −0.0740919 | + | 0.382245i | ||||
\(946\) | −210125. | − | 689366.i | −0.234799 | − | 0.770314i | ||||
\(947\) | −162072. | + | 93572.3i | −0.180721 | + | 0.104339i | −0.587631 | − | 0.809129i | \(-0.699939\pi\) |
0.406910 | + | 0.913468i | \(0.366606\pi\) | |||||||
\(948\) | −375763. | − | 644413.i | −0.418117 | − | 0.717047i | ||||
\(949\) | −267998. | + | 464186.i | −0.297577 | + | 0.515418i | ||||
\(950\) | 21907.6 | − | 94528.7i | 0.0242743 | − | 0.104741i | ||||
\(951\) | 245104. | + | 494986.i | 0.271012 | + | 0.547308i | ||||
\(952\) | −72014.3 | − | 11592.6i | −0.0794593 | − | 0.0127911i | ||||
\(953\) | 194925. | 0.214626 | 0.107313 | − | 0.994225i | \(-0.465775\pi\) | ||||
0.107313 | + | 0.994225i | \(0.465775\pi\) | |||||||
\(954\) | 327724. | − | 271488.i | 0.360090 | − | 0.298301i | ||||
\(955\) | − | 730210.i | − | 0.800647i | ||||||
\(956\) | 317640. | − | 648482.i | 0.347551 | − | 0.709549i | ||||
\(957\) | 1.08253e6 | + | 720772.i | 1.18199 | + | 0.786998i | ||||
\(958\) | 30933.8 | − | 133476.i | 0.0337056 | − | 0.145436i | ||||
\(959\) | 34095.8 | + | 19685.2i | 0.0370735 | + | 0.0214044i | ||||
\(960\) | 1.33621e6 | + | 538405.i | 1.44988 | + | 0.584207i | ||||
\(961\) | −226939. | − | 393070.i | −0.245732 | − | 0.425621i | ||||
\(962\) | 429023. | + | 1.40751e6i | 0.463586 | + | 1.52090i | ||||
\(963\) | 46036.5 | − | 358716.i | 0.0496421 | − | 0.386810i | ||||
\(964\) | −1.00465e6 | + | 675187.i | −1.08109 | + | 0.726557i | ||||
\(965\) | 900757. | + | 1.56016e6i | 0.967281 | + | 1.67538i | ||||
\(966\) | −279753. | + | 263581.i | −0.299792 | + | 0.282461i | ||||
\(967\) | 374342. | + | 216127.i | 0.400328 | + | 0.231129i | 0.686625 | − | 0.727011i | \(-0.259091\pi\) |
−0.286298 | + | 0.958141i | \(0.592425\pi\) | |||||||
\(968\) | −138510. | + | 52767.9i | −0.147819 | + | 0.0563143i | ||||
\(969\) | 1441.23 | − | 22552.1i | 0.00153492 | − | 0.0240182i | ||||
\(970\) | −612387. | + | 655597.i | −0.650852 | + | 0.696776i | ||||
\(971\) | − | 756598.i | − | 0.802467i | −0.915976 | − | 0.401233i | \(-0.868582\pi\) | ||
0.915976 | − | 0.401233i | \(-0.131418\pi\) | |||||||
\(972\) | 234631. | − | 915186.i | 0.248344 | − | 0.968672i | ||||
\(973\) | −229389. | −0.242296 | ||||||||
\(974\) | −203219. | − | 189825.i | −0.214213 | − | 0.200095i | ||||
\(975\) | 1.69336e6 | + | 108217.i | 1.78132 | + | 0.113838i | ||||
\(976\) | 342145. | + | 440980.i | 0.359179 | + | 0.462934i | ||||
\(977\) | −903593. | + | 1.56507e6i | −0.946638 | + | 1.63962i | −0.194200 | + | 0.980962i | \(0.562211\pi\) |
−0.752438 | + | 0.658663i | \(0.771122\pi\) | |||||||
\(978\) | 1.03558e6 | + | 1.09911e6i | 1.08269 | + | 1.14912i | ||||
\(979\) | −112217. | + | 64788.8i | −0.117083 | + | 0.0675981i | ||||
\(980\) | 1.16870e6 | − | 785438.i | 1.21689 | − | 0.817824i | ||||
\(981\) | −380499. | − | 48832.2i | −0.395381 | − | 0.0507421i | ||||
\(982\) | 770102. | − | 234735.i | 0.798593 | − | 0.243419i | ||||
\(983\) | 181852. | − | 104992.i | 0.188196 | − | 0.108655i | −0.402942 | − | 0.915226i | \(-0.632012\pi\) |
0.591138 | + | 0.806570i | \(0.298679\pi\) | |||||||
\(984\) | −42965.4 | + | 13298.9i | −0.0443740 | + | 0.0137349i | ||||
\(985\) | 311354. | − | 539282.i | 0.320910 | − | 0.555832i | ||||
\(986\) | −473622. | − | 109765.i | −0.487167 | − | 0.112904i | ||||
\(987\) | 140561. | − | 211108.i | 0.144288 | − | 0.216706i | ||||
\(988\) | 39550.2 | − | 80744.4i | 0.0405168 | − | 0.0827178i | ||||
\(989\) | 1.41966e6 | 1.45141 | ||||||||
\(990\) | 896732. | + | 1.08248e6i | 0.914939 | + | 1.10446i | ||||
\(991\) | 1.66713e6i | 1.69755i | 0.528754 | + | 0.848775i | \(0.322659\pi\) | ||||
−0.528754 | + | 0.848775i | \(0.677341\pi\) | |||||||
\(992\) | 637247. | − | 293892.i | 0.647567 | − | 0.298651i | ||||
\(993\) | −1.49934e6 | + | 742433.i | −1.52055 | + | 0.752937i | ||||
\(994\) | −219165. | − | 50792.7i | −0.221819 | − | 0.0514077i | ||||
\(995\) | −2.49540e6 | − | 1.44072e6i | −2.52054 | − | 1.45523i | ||||
\(996\) | 135887. | + | 233038.i | 0.136981 | + | 0.234914i | ||||
\(997\) | −671417. | − | 1.16293e6i | −0.675464 | − | 1.16994i | −0.976333 | − | 0.216273i | \(-0.930610\pi\) |
0.300869 | − | 0.953666i | \(-0.402723\pi\) | |||||||
\(998\) | −206992. | + | 63093.3i | −0.207823 | + | 0.0633464i | ||||
\(999\) | −1.25978e6 | − | 244187.i | −1.26230 | − | 0.244676i |
(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.31.6 | yes | 44 | |
3.2 | odd | 2 | 108.5.f.a.91.17 | 44 | |||
4.3 | odd | 2 | inner | 36.5.f.a.31.21 | yes | 44 | |
9.2 | odd | 6 | 108.5.f.a.19.2 | 44 | |||
9.4 | even | 3 | 324.5.d.f.163.9 | 22 | |||
9.5 | odd | 6 | 324.5.d.e.163.14 | 22 | |||
9.7 | even | 3 | inner | 36.5.f.a.7.21 | yes | 44 | |
12.11 | even | 2 | 108.5.f.a.91.2 | 44 | |||
36.7 | odd | 6 | inner | 36.5.f.a.7.6 | ✓ | 44 | |
36.11 | even | 6 | 108.5.f.a.19.17 | 44 | |||
36.23 | even | 6 | 324.5.d.e.163.13 | 22 | |||
36.31 | odd | 6 | 324.5.d.f.163.10 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.6 | ✓ | 44 | 36.7 | odd | 6 | inner | |
36.5.f.a.7.21 | yes | 44 | 9.7 | even | 3 | inner | |
36.5.f.a.31.6 | yes | 44 | 1.1 | even | 1 | trivial | |
36.5.f.a.31.21 | yes | 44 | 4.3 | odd | 2 | inner | |
108.5.f.a.19.2 | 44 | 9.2 | odd | 6 | |||
108.5.f.a.19.17 | 44 | 36.11 | even | 6 | |||
108.5.f.a.91.2 | 44 | 12.11 | even | 2 | |||
108.5.f.a.91.17 | 44 | 3.2 | odd | 2 | |||
324.5.d.e.163.13 | 22 | 36.23 | even | 6 | |||
324.5.d.e.163.14 | 22 | 9.5 | odd | 6 | |||
324.5.d.f.163.9 | 22 | 9.4 | even | 3 | |||
324.5.d.f.163.10 | 22 | 36.31 | odd | 6 |