Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,5,Mod(7,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.7");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.72131867102\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Character | \(\chi\) | \(=\) | 36.7 |
Dual form | 36.5.f.a.31.6 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −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 | 0.931022 | + | 0.364962i | \(0.118918\pi\) |
−0.149444 | + | 0.988770i | \(0.547749\pi\) | |||||||
\(6\) | −26.2019 | − | 24.6872i | −0.727831 | − | 0.685757i | ||||
\(7\) | −10.5700 | − | 6.10260i | −0.215715 | − | 0.124543i | 0.388250 | − | 0.921554i | \(-0.373080\pi\) |
−0.603964 | + | 0.797011i | \(0.706413\pi\) | |||||||
\(8\) | 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 | 0.841574 | − | 0.540142i | \(-0.181630\pi\) |
−0.0469902 | + | 0.998895i | \(0.514963\pi\) | |||||||
\(12\) | −0.620447 | + | 143.999i | −0.00430866 | + | 0.999991i | ||||
\(13\) | −104.491 | − | 180.984i | −0.618290 | − | 1.07091i | −0.989798 | − | 0.142480i | \(-0.954492\pi\) |
0.371507 | − | 0.928430i | \(-0.378841\pi\) | |||||||
\(14\) | 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 | \(0.0118575\pi\) | ||||
−0.999306 | + | 0.0372429i | \(0.988142\pi\) | |||||||
\(20\) | −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 | −0.997280 | − | 0.0737029i | \(-0.976518\pi\) |
−0.434812 | + | 0.900521i | \(0.643185\pi\) | |||||||
\(24\) | 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 | −0.161587 | − | 0.986858i | \(-0.551661\pi\) |
0.935438 | − | 0.353491i | \(-0.115005\pi\) | |||||||
\(30\) | 323.527 | − | 1369.13i | 0.359474 | − | 1.52126i | ||||
\(31\) | 593.492 | − | 342.653i | 0.617577 | − | 0.356558i | −0.158348 | − | 0.987383i | \(-0.550617\pi\) |
0.775925 | + | 0.630825i | \(0.217283\pi\) | |||||||
\(32\) | 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 | 0.854179 | − | 0.519979i | \(-0.174060\pi\) |
−0.877405 | + | 0.479751i | \(0.840727\pi\) | |||||||
\(42\) | 126.298 | + | 420.844i | 0.0715977 | + | 0.238574i | ||||
\(43\) | −1405.46 | − | 811.442i | −0.760118 | − | 0.438855i | 0.0692198 | − | 0.997601i | \(-0.477949\pi\) |
−0.829338 | + | 0.558747i | \(0.811282\pi\) | |||||||
\(44\) | −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 | −0.0263007 | − | 0.999654i | \(-0.508373\pi\) |
−0.878876 | + | 0.477050i | \(0.841706\pi\) | |||||||
\(48\) | −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 | 0.391540 | − | 0.920161i | \(-0.371942\pi\) |
0.992653 | + | 0.120997i | \(0.0386091\pi\) | |||||||
\(60\) | −4885.52 | + | 2792.66i | −1.35709 | + | 0.775738i | ||||
\(61\) | −1090.13 | + | 1888.16i | −0.292967 | + | 0.507433i | −0.974510 | − | 0.224345i | \(-0.927976\pi\) |
0.681543 | + | 0.731778i | \(0.261309\pi\) | |||||||
\(62\) | −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 | −0.523545 | − | 0.851998i | \(-0.675391\pi\) |
0.476079 | + | 0.879403i | \(0.342058\pi\) | |||||||
\(68\) | −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 | \(0.151100\pi\) | ||||
−0.889432 | + | 0.457067i | \(0.848900\pi\) | |||||||
\(72\) | 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 | 0.814326 | − | 0.580408i | \(-0.197107\pi\) |
−0.0954846 | + | 0.995431i | \(0.530440\pi\) | |||||||
\(80\) | −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 | 0.377606 | − | 0.925966i | \(-0.376747\pi\) |
−0.613108 | + | 0.789999i | \(0.710081\pi\) | |||||||
\(84\) | 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 | −0.672275 | − | 0.740302i | \(-0.734683\pi\) |
0.977257 | + | 0.212056i | \(0.0680160\pi\) | |||||||
\(98\) | −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 | 0.176802 | + | 0.984246i | \(0.443425\pi\) |
−0.940783 | + | 0.339008i | \(0.889909\pi\) | |||||||
\(102\) | −2446.71 | − | 2305.27i | −0.235170 | − | 0.221575i | ||||
\(103\) | 9636.52 | − | 5563.65i | 0.908334 | − | 0.524427i | 0.0284395 | − | 0.999596i | \(-0.490946\pi\) |
0.879895 | + | 0.475168i | \(0.157613\pi\) | |||||||
\(104\) | −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 | \(0.0624679\pi\) | ||||
−0.980805 | + | 0.194991i | \(0.937532\pi\) | |||||||
\(108\) | 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 | 0.961639 | + | 0.274317i | \(0.0884519\pi\) |
−0.243254 | + | 0.969963i | \(0.578215\pi\) | |||||||
\(114\) | 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 | \(-0.918500\pi\) | ||
0.967400 | − | 0.253252i | \(-0.0815003\pi\) | |||||||
\(128\) | −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 | −0.741863 | − | 0.670552i | \(-0.766057\pi\) |
0.209784 | + | 0.977748i | \(0.432724\pi\) | |||||||
\(132\) | −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 | −0.905788 | − | 0.423731i | \(-0.860720\pi\) |
0.819856 | + | 0.572570i | \(0.194053\pi\) | |||||||
\(138\) | 30647.8 | + | 7242.09i | 1.60932 | + | 0.380282i | ||||
\(139\) | 16276.4 | − | 9397.17i | 0.842419 | − | 0.486371i | −0.0156666 | − | 0.999877i | \(-0.504987\pi\) |
0.858086 | + | 0.513506i | \(0.171654\pi\) | |||||||
\(140\) | 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 | 0.939222 | − | 0.343311i | \(-0.111548\pi\) |
−0.766927 | + | 0.641735i | \(0.778215\pi\) | |||||||
\(150\) | 31107.1 | − | 9335.47i | 1.38254 | − | 0.414910i | ||||
\(151\) | −974.974 | − | 562.901i | −0.0427601 | − | 0.0246876i | 0.478468 | − | 0.878105i | \(-0.341192\pi\) |
−0.521228 | + | 0.853418i | \(0.674526\pi\) | |||||||
\(152\) | 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 | 0.899442 | − | 0.437041i | \(-0.143973\pi\) |
−0.828209 | + | 0.560419i | \(0.810640\pi\) | |||||||
\(158\) | −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 | \(0.289615\pi\) | ||||
−0.613861 | + | 0.789414i | \(0.710385\pi\) | |||||||
\(164\) | 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 | −0.390469 | − | 0.920616i | \(-0.627687\pi\) |
0.602043 | + | 0.798464i | \(0.294354\pi\) | |||||||
\(168\) | −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 | −0.967063 | − | 0.254539i | \(-0.918076\pi\) |
0.703968 | + | 0.710232i | \(0.251410\pi\) | |||||||
\(174\) | −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 | \(0.114184\pi\) | ||||
−0.936347 | + | 0.351075i | \(0.885816\pi\) | |||||||
\(180\) | −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 | 0.705114 | − | 0.709094i | \(-0.250896\pi\) |
−0.261537 | + | 0.965194i | \(0.584229\pi\) | |||||||
\(192\) | 5164.76 | − | 36500.4i | 0.140103 | − | 0.990137i | ||||
\(193\) | −23049.7 | − | 39923.2i | −0.618800 | − | 1.07179i | −0.989705 | − | 0.143123i | \(-0.954286\pi\) |
0.370905 | − | 0.928671i | \(-0.379048\pi\) | |||||||
\(194\) | −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 | \(0.381026\pi\) | ||||
−0.365124 | + | 0.930959i | \(0.618974\pi\) | |||||||
\(200\) | 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 | −0.316584 | − | 0.948564i | \(-0.602536\pi\) |
0.663189 | + | 0.748452i | \(0.269203\pi\) | |||||||
\(212\) | 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 | −0.218949 | − | 0.975736i | \(-0.570263\pi\) |
−0.954487 | + | 0.298253i | \(0.903596\pi\) | |||||||
\(224\) | −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 | −0.131212 | − | 0.991354i | \(-0.541887\pi\) |
−0.924144 | + | 0.382044i | \(0.875220\pi\) | |||||||
\(228\) | −3872.04 | − | 16.6834i | −0.0744852 | − | 0.000320934i | ||||
\(229\) | 20463.2 | + | 35443.2i | 0.390213 | + | 0.675868i | 0.992477 | − | 0.122428i | \(-0.0390681\pi\) |
−0.602265 | + | 0.798297i | \(0.705735\pi\) | |||||||
\(230\) | 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 | −0.117209 | − | 0.993107i | \(-0.537395\pi\) |
0.801452 | + | 0.598059i | \(0.204061\pi\) | |||||||
\(240\) | −39257.5 | − | 81028.7i | −0.681554 | − | 1.40675i | ||||
\(241\) | −37826.8 | + | 65517.9i | −0.651276 | + | 1.12804i | 0.331537 | + | 0.943442i | \(0.392433\pi\) |
−0.982814 | + | 0.184601i | \(0.940901\pi\) | |||||||
\(242\) | −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 | \(0.213350\pi\) | ||||
−0.783662 | + | 0.621188i | \(0.786650\pi\) | |||||||
\(252\) | 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 | 0.939887 | − | 0.341485i | \(-0.110930\pi\) |
−0.765678 | + | 0.643224i | \(0.777597\pi\) | |||||||
\(258\) | 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 | −0.154765 | − | 0.987951i | \(-0.549462\pi\) |
−0.932973 | + | 0.359945i | \(0.882795\pi\) | |||||||
\(264\) | 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 | \(-0.894130\pi\) | ||
0.945197 | − | 0.326502i | \(-0.105870\pi\) | |||||||
\(272\) | −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 | −0.519332 | − | 0.854572i | \(-0.673819\pi\) |
0.999748 | + | 0.0224689i | \(0.00715269\pi\) | |||||||
\(278\) | −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 | −0.987185 | − | 0.159582i | \(-0.948985\pi\) |
0.631795 | + | 0.775136i | \(0.282319\pi\) | |||||||
\(282\) | 23891.9 | + | 79611.4i | 0.300437 | + | 1.00110i | ||||
\(283\) | −132300. | + | 76383.2i | −1.65191 | + | 0.953730i | −0.675621 | + | 0.737249i | \(0.736124\pi\) |
−0.976287 | + | 0.216481i | \(0.930542\pi\) | |||||||
\(284\) | −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 | 0.956683 | − | 0.291133i | \(-0.0940322\pi\) |
−0.730470 | + | 0.682945i | \(0.760699\pi\) | |||||||
\(294\) | −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 | \(-0.999227\pi\) | ||
0.999997 | − | 0.00242723i | \(-0.000772612\pi\) | |||||||
\(308\) | 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 | −0.547234 | − | 0.836979i | \(-0.684319\pi\) |
0.451228 | + | 0.892409i | \(0.350986\pi\) | |||||||
\(312\) | −114991. | − | 35592.7i | −1.18129 | − | 0.365638i | ||||
\(313\) | −8976.10 | + | 15547.1i | −0.0916218 | + | 0.158694i | −0.908194 | − | 0.418550i | \(-0.862538\pi\) |
0.816572 | + | 0.577244i | \(0.195872\pi\) | |||||||
\(314\) | 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 | −0.671977 | − | 0.740572i | \(-0.734555\pi\) |
0.977343 | + | 0.211663i | \(0.0678879\pi\) | |||||||
\(318\) | 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 | −0.470023 | − | 0.882654i | \(-0.655755\pi\) |
−0.999412 | + | 0.0342747i | \(0.989088\pi\) | |||||||
\(332\) | 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 | 0.982741 | + | 0.184989i | \(0.0592251\pi\) |
−0.331165 | + | 0.943573i | \(0.607442\pi\) | |||||||
\(338\) | 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 | 0.122138 | − | 0.992513i | \(-0.461025\pi\) |
0.920611 | + | 0.390482i | \(0.127692\pi\) | |||||||
\(348\) | 161916. | + | 94415.0i | 1.33700 | + | 0.779619i | ||||
\(349\) | 89475.8 | − | 154977.i | 0.734606 | − | 1.27238i | −0.220290 | − | 0.975435i | \(-0.570700\pi\) |
0.954896 | − | 0.296941i | \(-0.0959664\pi\) | |||||||
\(350\) | −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 | −0.914111 | − | 0.405465i | \(-0.867110\pi\) |
0.808198 | + | 0.588911i | \(0.200443\pi\) | |||||||
\(354\) | −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 | \(-0.751571\pi\) | ||
0.710587 | − | 0.703609i | \(-0.248429\pi\) | |||||||
\(360\) | 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 | 0.987368 | − | 0.158445i | \(-0.0506481\pi\) |
0.356467 | + | 0.934308i | \(0.383981\pi\) | |||||||
\(368\) | 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 | 0.970203 | − | 0.242293i | \(-0.0778996\pi\) |
−0.694934 | + | 0.719074i | \(0.744566\pi\) | |||||||
\(374\) | −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 | \(-0.700561\pi\) | ||
0.589211 | − | 0.807979i | \(-0.299439\pi\) | |||||||
\(380\) | −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 | −0.225611 | − | 0.974217i | \(-0.572438\pi\) |
0.730891 | + | 0.682494i | \(0.239105\pi\) | |||||||
\(384\) | −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 | −0.993997 | − | 0.109404i | \(-0.965106\pi\) |
0.591745 | + | 0.806125i | \(0.298439\pi\) | |||||||
\(390\) | −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 | 0.968419 | − | 0.249330i | \(-0.0802103\pi\) |
−0.700135 | + | 0.714010i | \(0.746877\pi\) | |||||||
\(402\) | 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 | −0.972212 | − | 0.234102i | \(-0.924785\pi\) |
0.283368 | − | 0.959011i | \(-0.408548\pi\) | |||||||
\(410\) | −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 | −0.356491 | − | 0.934299i | \(-0.616027\pi\) |
0.630881 | + | 0.775879i | \(0.282693\pi\) | |||||||
\(420\) | 68682.5 | + | 295.932i | 0.389356 | + | 0.00167762i | ||||
\(421\) | −70485.7 | + | 122085.i | −0.397683 | + | 0.688807i | −0.993440 | − | 0.114358i | \(-0.963519\pi\) |
0.595757 | + | 0.803165i | \(0.296852\pi\) | |||||||
\(422\) | −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 | \(0.171889\pi\) | ||||
−0.857705 | + | 0.514142i | \(0.828111\pi\) | |||||||
\(432\) | −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 | 0.955618 | − | 0.294609i | \(-0.0951893\pi\) |
0.222670 | + | 0.974894i | \(0.428523\pi\) | |||||||
\(440\) | 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 | 0.285632 | − | 0.958339i | \(-0.407796\pi\) |
−0.687130 | + | 0.726534i | \(0.741130\pi\) | |||||||
\(444\) | 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 | −0.999594 | − | 0.0285035i | \(-0.990926\pi\) |
0.524482 | + | 0.851422i | \(0.324259\pi\) | |||||||
\(458\) | 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 | −0.508949 | − | 0.860797i | \(-0.669966\pi\) |
0.999946 | + | 0.0103639i | \(0.00329898\pi\) | |||||||
\(462\) | −11217.8 | + | 47472.6i | −0.0525562 | + | 0.222413i | ||||
\(463\) | −22687.9 | + | 13098.9i | −0.105836 | + | 0.0611044i | −0.551984 | − | 0.833855i | \(-0.686129\pi\) |
0.446148 | + | 0.894959i | \(0.352796\pi\) | |||||||
\(464\) | −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 | \(0.0710911\pi\) | ||||
−0.975163 | + | 0.221487i | \(0.928909\pi\) | |||||||
\(468\) | 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 | 0.433960 | − | 0.900932i | \(-0.357116\pi\) |
−0.563250 | + | 0.826287i | \(0.690449\pi\) | |||||||
\(480\) | −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 | \(-0.953178\pi\) | ||
0.989201 | − | 0.146565i | \(-0.0468218\pi\) | |||||||
\(488\) | 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 | −0.815862 | − | 0.578247i | \(-0.803737\pi\) |
0.0928458 | + | 0.995681i | \(0.470404\pi\) | |||||||
\(492\) | 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 | −0.402964 | − | 0.915216i | \(-0.632020\pi\) |
0.591119 | + | 0.806585i | \(0.298687\pi\) | |||||||
\(500\) | 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 | \(-0.843027\pi\) | ||
0.880849 | − | 0.473397i | \(-0.156973\pi\) | |||||||
\(504\) | −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 | 0.732817 | − | 0.680425i | \(-0.238205\pi\) |
−0.955674 | + | 0.294426i | \(0.904872\pi\) | |||||||
\(510\) | 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 | \(0.0231104\pi\) | ||||
−0.997366 | + | 0.0725397i | \(0.976890\pi\) | |||||||
\(524\) | −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 | 0.630180 | − | 0.776449i | \(-0.282981\pi\) |
−0.357335 | + | 0.933976i | \(0.616314\pi\) | |||||||
\(548\) | −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 | −0.786771 | + | 0.617245i | \(0.788249\pi\) |
−0.927935 | + | 0.372741i | \(0.878418\pi\) | |||||||
\(564\) | 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 | −0.799751 | − | 0.600331i | \(-0.795035\pi\) |
0.919778 | + | 0.392439i | \(0.128369\pi\) | |||||||
\(570\) | 36815.2 | + | 8699.44i | 0.113312 | + | 0.0267758i | ||||
\(571\) | −276094. | + | 159403.i | −0.846809 | + | 0.488905i | −0.859573 | − | 0.511013i | \(-0.829270\pi\) |
0.0127640 | + | 0.999919i | \(0.495937\pi\) | |||||||
\(572\) | 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 | 0.482641 | − | 0.875818i | \(-0.339678\pi\) |
−0.517161 | + | 0.855888i | \(0.673011\pi\) | |||||||
\(588\) | 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 | 0.163204 | − | 0.986592i | \(-0.447817\pi\) |
0.936016 | + | 0.351958i | \(0.114484\pi\) | |||||||
\(600\) | 115139. | + | 506728.i | 0.319830 | + | 1.40758i | ||||
\(601\) | 118996. | − | 206108.i | 0.329446 | − | 0.570618i | −0.652956 | − | 0.757396i | \(-0.726471\pi\) |
0.982402 | + | 0.186778i | \(0.0598046\pi\) | |||||||
\(602\) | 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 | 0.406371 | − | 0.913708i | \(-0.366794\pi\) |
0.994480 | + | 0.104927i | \(0.0334608\pi\) | |||||||
\(608\) | −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 | −0.974814 | − | 0.223021i | \(-0.928408\pi\) |
0.294265 | − | 0.955724i | \(-0.404925\pi\) | |||||||
\(618\) | −389846. | − | 92120.8i | −1.02074 | − | 0.241202i | ||||
\(619\) | 176869. | + | 102115.i | 0.461605 | + | 0.266508i | 0.712719 | − | 0.701450i | \(-0.247463\pi\) |
−0.251114 | + | 0.967958i | \(0.580797\pi\) | |||||||
\(620\) | −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 | \(-0.928638\pi\) | ||
0.974975 | − | 0.222317i | \(-0.0713618\pi\) | |||||||
\(632\) | 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 | −0.967920 | − | 0.251258i | \(-0.919156\pi\) |
0.701556 | + | 0.712614i | \(0.252489\pi\) | |||||||
\(642\) | 110226. | − | 116989.i | 0.267433 | − | 0.283841i | ||||
\(643\) | 298938. | − | 172592.i | 0.723035 | − | 0.417445i | −0.0928336 | − | 0.995682i | \(-0.529592\pi\) |
0.815869 | + | 0.578237i | \(0.196259\pi\) | |||||||
\(644\) | −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 | \(0.157799\pi\) | ||||
−0.879617 | + | 0.475683i | \(0.842201\pi\) | |||||||
\(648\) | 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 | 0.993890 | − | 0.110371i | \(-0.0352040\pi\) |
−0.592529 | + | 0.805549i | \(0.701871\pi\) | |||||||
\(654\) | 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 | −0.122175 | − | 0.992509i | \(-0.538987\pi\) |
−0.920625 | + | 0.390447i | \(0.872320\pi\) | |||||||
\(660\) | −624734. | − | 2691.79i | −1.43419 | − | 0.00617950i | ||||
\(661\) | −154294. | − | 267245.i | −0.353140 | − | 0.611656i | 0.633658 | − | 0.773613i | \(-0.281553\pi\) |
−0.986798 | + | 0.161957i | \(0.948219\pi\) | |||||||
\(662\) | 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 | −0.695623 | − | 0.718407i | \(-0.744871\pi\) |
0.969970 | + | 0.243223i | \(0.0782047\pi\) | |||||||
\(674\) | 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 | −0.974758 | − | 0.223264i | \(-0.928329\pi\) |
0.680731 | + | 0.732533i | \(0.261662\pi\) | |||||||
\(678\) | 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 | \(0.0425972\pi\) | ||||
−0.991059 | + | 0.133424i | \(0.957403\pi\) | |||||||
\(684\) | −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 | −0.988048 | − | 0.154145i | \(-0.950738\pi\) |
−0.627518 | − | 0.778602i | \(-0.715929\pi\) | |||||||
\(692\) | −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 | −0.270913 | − | 0.962604i | \(-0.587326\pi\) |
0.969096 | − | 0.246684i | \(-0.0793410\pi\) | |||||||
\(710\) | 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 | \(0.266672\pi\) | ||||
−0.669117 | + | 0.743157i | \(0.733328\pi\) | |||||||
\(720\) | −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 | 0.275607 | − | 0.961270i | \(-0.411121\pi\) |
−0.694681 | + | 0.719318i | \(0.744454\pi\) | |||||||
\(728\) | 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 | 0.641169 | − | 0.767400i | \(-0.278450\pi\) |
−0.985172 | + | 0.171569i | \(0.945116\pi\) | |||||||
\(734\) | −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 | \(-0.602988\pi\) | ||
0.317932 | − | 0.948114i | \(-0.397012\pi\) | |||||||
\(740\) | 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 | 0.00958322 | − | 0.999954i | \(-0.496950\pi\) |
0.870777 | + | 0.491678i | \(0.163616\pi\) | |||||||
\(744\) | 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 | −0.639011 | − | 0.769197i | \(-0.720656\pi\) |
0.346639 | + | 0.937999i | \(0.387323\pi\) | |||||||
\(752\) | 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 | 0.927086 | − | 0.374848i | \(-0.122305\pi\) |
−0.788171 | + | 0.615456i | \(0.788972\pi\) | |||||||
\(762\) | −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 | 0.999991 | + | 0.00415186i | \(0.00132158\pi\) |
−0.496400 | + | 0.868094i | \(0.665345\pi\) | |||||||
\(770\) | −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 | −0.373084 | − | 0.927798i | \(-0.621700\pi\) |
0.616954 | + | 0.786999i | \(0.288366\pi\) | |||||||
\(788\) | −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 | −0.978786 | − | 0.204886i | \(-0.934318\pi\) |
0.311957 | − | 0.950096i | \(-0.399016\pi\) | |||||||
\(798\) | −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 | \(0.0915097\pi\) | ||||
−0.958960 | + | 0.283543i | \(0.908490\pi\) | |||||||
\(812\) | −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 | 0.352116 | − | 0.935956i | \(-0.385462\pi\) |
0.634504 | − | 0.772920i | \(-0.281204\pi\) | |||||||
\(822\) | 111225. | − | 33379.3i | 0.164611 | − | 0.0494008i | ||||
\(823\) | 636230. | − | 367328.i | 0.939322 | − | 0.542318i | 0.0495745 | − | 0.998770i | \(-0.484213\pi\) |
0.889748 | + | 0.456452i | \(0.150880\pi\) | |||||||
\(824\) | 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 | \(-0.620428\pi\) | ||
0.369375 | − | 0.929281i | \(-0.379572\pi\) | |||||||
\(828\) | −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 | 0.862317 | − | 0.506369i | \(-0.169013\pi\) |
−0.00737025 | + | 0.999973i | \(0.502346\pi\) | |||||||
\(840\) | −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 | −0.911431 | − | 0.411453i | \(-0.865021\pi\) |
0.812044 | + | 0.583596i | \(0.198355\pi\) | |||||||
\(854\) | −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 | −0.564145 | − | 0.825676i | \(-0.690794\pi\) |
0.997129 | + | 0.0757255i | \(0.0241273\pi\) | |||||||
\(858\) | −572764. | + | 607906.i | −0.778039 | + | 0.825775i | ||||
\(859\) | −1.16908e6 | + | 674970.i | −1.58438 | + | 0.914741i | −0.590168 | + | 0.807281i | \(0.700938\pi\) |
−0.994209 | + | 0.107460i | \(0.965728\pi\) | |||||||
\(860\) | 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 | \(0.210924\pi\) | ||||
−0.788372 | + | 0.615199i | \(0.789076\pi\) | |||||||
\(864\) | 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 | 0.987137 | − | 0.159875i | \(-0.0511090\pi\) |
−0.632024 | + | 0.774949i | \(0.717776\pi\) | |||||||
\(878\) | −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 | \(-0.971294\pi\) | ||
0.995936 | − | 0.0900593i | \(-0.0287056\pi\) | |||||||
\(884\) | 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 | −0.682341 | − | 0.731034i | \(-0.739038\pi\) |
0.291923 | + | 0.956442i | \(0.405705\pi\) | |||||||
\(888\) | −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 | 0.997687 | + | 0.0679717i | \(0.0216528\pi\) |
0.557709 | + | 0.830037i | \(0.311681\pi\) | |||||||
\(908\) | 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 | 0.524913 | − | 0.851156i | \(-0.324098\pi\) |
−0.474666 | + | 0.880166i | \(0.657431\pi\) | |||||||
\(912\) | 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 | \(0.0657390\pi\) | ||||
−0.978749 | + | 0.205060i | \(0.934261\pi\) | |||||||
\(920\) | −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 | 0.495501 | + | 0.868607i | \(0.334984\pi\) |
−0.999987 | + | 0.00518706i | \(0.998349\pi\) | |||||||
\(930\) | −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 | 0.963897 | + | 0.266275i | \(0.0857930\pi\) |
−0.251348 | + | 0.967897i | \(0.580874\pi\) | |||||||
\(942\) | 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 | 0.406910 | − | 0.913468i | \(-0.366606\pi\) |
−0.587631 | + | 0.809129i | \(0.699939\pi\) | |||||||
\(948\) | −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 | −0.286298 | − | 0.958141i | \(-0.592425\pi\) |
0.686625 | + | 0.727011i | \(0.259091\pi\) | |||||||
\(968\) | −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 | \(0.131418\pi\) | ||||
−0.915976 | + | 0.401233i | \(0.868582\pi\) | |||||||
\(972\) | 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 | −0.752438 | − | 0.658663i | \(-0.771122\pi\) |
−0.194200 | − | 0.980962i | \(-0.562211\pi\) | |||||||
\(978\) | 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 | 0.591138 | − | 0.806570i | \(-0.298679\pi\) |
−0.402942 | + | 0.915226i | \(0.632012\pi\) | |||||||
\(984\) | −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 | \(-0.677341\pi\) | ||
0.528754 | − | 0.848775i | \(-0.322659\pi\) | |||||||
\(992\) | 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 | 0.300869 | + | 0.953666i | \(0.402723\pi\) |
−0.976333 | + | 0.216273i | \(0.930610\pi\) | |||||||
\(998\) | −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.7.6 | ✓ | 44 | |
3.2 | odd | 2 | 108.5.f.a.19.17 | 44 | |||
4.3 | odd | 2 | inner | 36.5.f.a.7.21 | yes | 44 | |
9.2 | odd | 6 | 324.5.d.e.163.13 | 22 | |||
9.4 | even | 3 | inner | 36.5.f.a.31.21 | yes | 44 | |
9.5 | odd | 6 | 108.5.f.a.91.2 | 44 | |||
9.7 | even | 3 | 324.5.d.f.163.10 | 22 | |||
12.11 | even | 2 | 108.5.f.a.19.2 | 44 | |||
36.7 | odd | 6 | 324.5.d.f.163.9 | 22 | |||
36.11 | even | 6 | 324.5.d.e.163.14 | 22 | |||
36.23 | even | 6 | 108.5.f.a.91.17 | 44 | |||
36.31 | odd | 6 | inner | 36.5.f.a.31.6 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.6 | ✓ | 44 | 1.1 | even | 1 | trivial | |
36.5.f.a.7.21 | yes | 44 | 4.3 | odd | 2 | inner | |
36.5.f.a.31.6 | yes | 44 | 36.31 | odd | 6 | inner | |
36.5.f.a.31.21 | yes | 44 | 9.4 | even | 3 | inner | |
108.5.f.a.19.2 | 44 | 12.11 | even | 2 | |||
108.5.f.a.19.17 | 44 | 3.2 | odd | 2 | |||
108.5.f.a.91.2 | 44 | 9.5 | odd | 6 | |||
108.5.f.a.91.17 | 44 | 36.23 | even | 6 | |||
324.5.d.e.163.13 | 22 | 9.2 | odd | 6 | |||
324.5.d.e.163.14 | 22 | 36.11 | even | 6 | |||
324.5.d.f.163.9 | 22 | 36.7 | odd | 6 | |||
324.5.d.f.163.10 | 22 | 9.7 | even | 3 |