Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.16 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.16 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33273 | + | 3.77145i | −0.333182 | + | 0.942862i | ||||
\(3\) | −4.88717 | + | 0.861739i | −0.543018 | + | 0.0957488i | −0.438428 | − | 0.898767i | \(-0.644464\pi\) |
−0.104591 | + | 0.994515i | \(0.533353\pi\) | |||||||
\(4\) | −12.4477 | − | 10.0526i | −0.777979 | − | 0.628290i | ||||
\(5\) | −29.7827 | + | 24.9906i | −1.19131 | + | 0.999625i | −0.191471 | + | 0.981498i | \(0.561326\pi\) |
−0.999836 | + | 0.0181271i | \(0.994230\pi\) | |||||||
\(6\) | 3.26326 | − | 19.5802i | 0.0906461 | − | 0.543893i | ||||
\(7\) | 20.5177 | + | 11.8459i | 0.418729 | + | 0.241753i | 0.694533 | − | 0.719461i | \(-0.255611\pi\) |
−0.275804 | + | 0.961214i | \(0.588944\pi\) | |||||||
\(8\) | 54.5024 | − | 33.5483i | 0.851600 | − | 0.524192i | ||||
\(9\) | −52.9733 | + | 19.2807i | −0.653991 | + | 0.238033i | ||||
\(10\) | −54.5587 | − | 145.630i | −0.545587 | − | 1.45630i | ||||
\(11\) | 101.352 | − | 58.5153i | 0.837616 | − | 0.483598i | −0.0188372 | − | 0.999823i | \(-0.505996\pi\) |
0.856453 | + | 0.516225i | \(0.172663\pi\) | |||||||
\(12\) | 69.4966 | + | 38.4023i | 0.482615 | + | 0.266682i | ||||
\(13\) | 52.2772 | − | 296.479i | 0.309332 | − | 1.75431i | −0.293044 | − | 0.956099i | \(-0.594668\pi\) |
0.602376 | − | 0.798212i | \(-0.294221\pi\) | |||||||
\(14\) | −72.0208 | + | 61.5941i | −0.367453 | + | 0.314256i | ||||
\(15\) | 124.017 | − | 147.798i | 0.551189 | − | 0.656881i | ||||
\(16\) | 53.8889 | + | 250.264i | 0.210503 | + | 0.977593i | ||||
\(17\) | 28.4336 | + | 10.3490i | 0.0983862 | + | 0.0358097i | 0.390744 | − | 0.920499i | \(-0.372218\pi\) |
−0.292358 | + | 0.956309i | \(0.594440\pi\) | |||||||
\(18\) | −2.11717 | − | 225.482i | −0.00653446 | − | 0.695932i | ||||
\(19\) | −259.020 | + | 251.455i | −0.717506 | + | 0.696552i | ||||
\(20\) | 621.947 | − | 11.6806i | 1.55487 | − | 0.0292014i | ||||
\(21\) | −110.482 | − | 40.2120i | −0.250525 | − | 0.0911837i | ||||
\(22\) | 85.6135 | + | 460.227i | 0.176887 | + | 0.950883i | ||||
\(23\) | 296.930 | − | 353.867i | 0.561304 | − | 0.668936i | −0.408518 | − | 0.912750i | \(-0.633954\pi\) |
0.969822 | + | 0.243814i | \(0.0783988\pi\) | |||||||
\(24\) | −237.452 | + | 210.923i | −0.412244 | + | 0.366186i | ||||
\(25\) | 153.946 | − | 873.071i | 0.246314 | − | 1.39691i | ||||
\(26\) | 1048.48 | + | 592.286i | 1.55101 | + | 0.876163i | ||||
\(27\) | 590.388 | − | 340.861i | 0.809860 | − | 0.467573i | ||||
\(28\) | −136.315 | − | 353.711i | −0.173871 | − | 0.451162i | ||||
\(29\) | −279.219 | + | 101.627i | −0.332008 | + | 0.120841i | −0.502645 | − | 0.864493i | \(-0.667640\pi\) |
0.170637 | + | 0.985334i | \(0.445418\pi\) | |||||||
\(30\) | 392.132 | + | 664.701i | 0.435702 | + | 0.738556i | ||||
\(31\) | −602.887 | − | 348.077i | −0.627354 | − | 0.362203i | 0.152373 | − | 0.988323i | \(-0.451309\pi\) |
−0.779726 | + | 0.626120i | \(0.784642\pi\) | |||||||
\(32\) | −1015.68 | − | 130.295i | −0.991872 | − | 0.127241i | ||||
\(33\) | −444.897 | + | 373.313i | −0.408537 | + | 0.342803i | ||||
\(34\) | −76.9250 | + | 93.4436i | −0.0665441 | + | 0.0808335i | ||||
\(35\) | −907.109 | + | 159.948i | −0.740497 | + | 0.130570i | ||||
\(36\) | 853.216 | + | 292.522i | 0.658346 | + | 0.225711i | ||||
\(37\) | −1760.84 | −1.28623 | −0.643113 | − | 0.765771i | \(-0.722357\pi\) | ||||
−0.643113 | + | 0.765771i | \(0.722357\pi\) | |||||||
\(38\) | −603.148 | − | 1312.00i | −0.417693 | − | 0.908588i | ||||
\(39\) | 1493.99i | 0.982242i | ||||||||
\(40\) | −784.834 | + | 2361.21i | −0.490521 | + | 1.47575i | ||||
\(41\) | −278.144 | − | 1577.43i | −0.165463 | − | 0.938390i | −0.948585 | − | 0.316522i | \(-0.897485\pi\) |
0.783122 | − | 0.621868i | \(-0.213626\pi\) | |||||||
\(42\) | 298.899 | − | 363.084i | 0.169444 | − | 0.205830i | ||||
\(43\) | −914.707 | − | 1090.10i | −0.494703 | − | 0.589565i | 0.459704 | − | 0.888072i | \(-0.347956\pi\) |
−0.954407 | + | 0.298508i | \(0.903511\pi\) | |||||||
\(44\) | −1849.82 | − | 290.471i | −0.955487 | − | 0.150037i | ||||
\(45\) | 1095.85 | − | 1898.07i | 0.541160 | − | 0.937317i | ||||
\(46\) | 938.865 | + | 1591.46i | 0.443698 | + | 0.752110i | ||||
\(47\) | 1067.38 | + | 2932.59i | 0.483194 | + | 1.32757i | 0.906740 | + | 0.421691i | \(0.138563\pi\) |
−0.423545 | + | 0.905875i | \(0.639214\pi\) | |||||||
\(48\) | −479.026 | − | 1176.64i | −0.207911 | − | 0.510696i | ||||
\(49\) | −919.849 | − | 1593.23i | −0.383111 | − | 0.663567i | ||||
\(50\) | 3087.58 | + | 1744.17i | 1.23503 | + | 0.697667i | ||||
\(51\) | −147.878 | − | 26.0749i | −0.0568543 | − | 0.0100249i | ||||
\(52\) | −3631.12 | + | 3164.94i | −1.34287 | + | 1.17047i | ||||
\(53\) | 728.580 | + | 611.351i | 0.259373 | + | 0.217640i | 0.763196 | − | 0.646167i | \(-0.223629\pi\) |
−0.503823 | + | 0.863807i | \(0.668073\pi\) | |||||||
\(54\) | 498.712 | + | 2680.89i | 0.171026 | + | 0.919374i | ||||
\(55\) | −1556.18 | + | 4275.58i | −0.514441 | + | 1.41342i | ||||
\(56\) | 1515.67 | − | 42.7043i | 0.483315 | − | 0.0136175i | ||||
\(57\) | 1049.18 | − | 1452.11i | 0.322925 | − | 0.446941i | ||||
\(58\) | −11.1594 | − | 1188.50i | −0.00331732 | − | 0.353300i | ||||
\(59\) | 1806.30 | − | 4962.76i | 0.518902 | − | 1.42567i | −0.352830 | − | 0.935687i | \(-0.614781\pi\) |
0.871732 | − | 0.489983i | \(-0.162997\pi\) | |||||||
\(60\) | −3029.49 | + | 593.041i | −0.841525 | + | 0.164734i | ||||
\(61\) | −3471.11 | − | 2912.61i | −0.932844 | − | 0.782749i | 0.0434817 | − | 0.999054i | \(-0.486155\pi\) |
−0.976326 | + | 0.216305i | \(0.930599\pi\) | |||||||
\(62\) | 2116.24 | − | 1809.87i | 0.550530 | − | 0.470829i | ||||
\(63\) | −1315.29 | − | 231.921i | −0.331390 | − | 0.0584331i | ||||
\(64\) | 1845.02 | − | 3656.93i | 0.450445 | − | 0.892804i | ||||
\(65\) | 5852.23 | + | 10136.4i | 1.38514 | + | 2.39914i | ||||
\(66\) | −815.003 | − | 2175.43i | −0.187099 | − | 0.499410i | ||||
\(67\) | −1662.20 | − | 4566.86i | −0.370283 | − | 1.01734i | −0.975252 | − | 0.221096i | \(-0.929037\pi\) |
0.604969 | − | 0.796249i | \(-0.293186\pi\) | |||||||
\(68\) | −249.898 | − | 414.654i | −0.0540436 | − | 0.0896742i | ||||
\(69\) | −1146.20 | + | 1985.28i | −0.240748 | + | 0.416989i | ||||
\(70\) | 605.695 | − | 3634.28i | 0.123611 | − | 0.741690i | ||||
\(71\) | 2039.35 | + | 2430.41i | 0.404554 | + | 0.482128i | 0.929403 | − | 0.369067i | \(-0.120323\pi\) |
−0.524849 | + | 0.851195i | \(0.675878\pi\) | |||||||
\(72\) | −2240.34 | + | 2828.01i | −0.432164 | + | 0.545527i | ||||
\(73\) | 987.975 | + | 5603.08i | 0.185396 | + | 1.05143i | 0.925446 | + | 0.378880i | \(0.123691\pi\) |
−0.740050 | + | 0.672552i | \(0.765198\pi\) | |||||||
\(74\) | 2346.73 | − | 6640.93i | 0.428547 | − | 1.21273i | ||||
\(75\) | 4399.50i | 0.782134i | ||||||||
\(76\) | 5751.98 | − | 526.200i | 0.995842 | − | 0.0911011i | ||||
\(77\) | 2772.67 | 0.467645 | ||||||||
\(78\) | −5634.51 | − | 1991.08i | −0.926119 | − | 0.327265i | ||||
\(79\) | 11723.5 | − | 2067.17i | 1.87846 | − | 0.331224i | 0.887016 | − | 0.461739i | \(-0.152774\pi\) |
0.991446 | + | 0.130515i | \(0.0416632\pi\) | |||||||
\(80\) | −7859.21 | − | 6106.81i | −1.22800 | − | 0.954189i | ||||
\(81\) | 906.331 | − | 760.502i | 0.138139 | − | 0.115913i | ||||
\(82\) | 6319.90 | + | 1053.28i | 0.939902 | + | 0.156646i | ||||
\(83\) | −7598.47 | − | 4386.98i | −1.10299 | − | 0.636809i | −0.165982 | − | 0.986129i | \(-0.553079\pi\) |
−0.937004 | + | 0.349320i | \(0.886413\pi\) | |||||||
\(84\) | 971.001 | + | 1611.18i | 0.137613 | + | 0.228341i | ||||
\(85\) | −1105.46 | + | 402.353i | −0.153004 | + | 0.0556891i | ||||
\(86\) | 5330.33 | − | 1996.96i | 0.720705 | − | 0.270005i | ||||
\(87\) | 1277.01 | − | 737.284i | 0.168716 | − | 0.0974084i | ||||
\(88\) | 3560.81 | − | 6589.40i | 0.459815 | − | 0.850904i | ||||
\(89\) | −471.387 | + | 2673.37i | −0.0595110 | + | 0.337504i | −0.999997 | − | 0.00232797i | \(-0.999259\pi\) |
0.940486 | + | 0.339832i | \(0.110370\pi\) | |||||||
\(90\) | 5698.00 | + | 6662.55i | 0.703456 | + | 0.822537i | ||||
\(91\) | 4584.67 | − | 5463.79i | 0.553637 | − | 0.659799i | ||||
\(92\) | −7253.38 | + | 1419.89i | −0.856968 | + | 0.167757i | ||||
\(93\) | 3246.36 | + | 1181.58i | 0.375345 | + | 0.136614i | ||||
\(94\) | −12482.7 | + | 117.206i | −1.41270 | + | 0.0132646i | ||||
\(95\) | 1430.27 | − | 13962.1i | 0.158479 | − | 1.54704i | ||||
\(96\) | 5076.06 | − | 238.477i | 0.550788 | − | 0.0258764i | ||||
\(97\) | −6087.20 | − | 2215.56i | −0.646955 | − | 0.235472i | −0.00236072 | − | 0.999997i | \(-0.500751\pi\) |
−0.644594 | + | 0.764525i | \(0.722974\pi\) | |||||||
\(98\) | 7234.68 | − | 1345.83i | 0.753298 | − | 0.140132i | ||||
\(99\) | −4240.71 | + | 5053.88i | −0.432681 | + | 0.515649i | ||||
\(100\) | −10692.9 | + | 9320.14i | −1.06929 | + | 0.932014i | ||||
\(101\) | −216.989 | + | 1230.61i | −0.0212714 | + | 0.120636i | −0.993595 | − | 0.113004i | \(-0.963953\pi\) |
0.972323 | + | 0.233640i | \(0.0750638\pi\) | |||||||
\(102\) | 295.421 | − | 522.963i | 0.0283950 | − | 0.0502656i | ||||
\(103\) | −13954.6 | + | 8056.68i | −1.31535 | + | 0.759419i | −0.982977 | − | 0.183728i | \(-0.941183\pi\) |
−0.332375 | + | 0.943147i | \(0.607850\pi\) | |||||||
\(104\) | −7097.13 | − | 17912.6i | −0.656169 | − | 1.65612i | ||||
\(105\) | 4295.36 | − | 1563.38i | 0.389602 | − | 0.141803i | ||||
\(106\) | −3276.68 | + | 1933.04i | −0.291623 | + | 0.172040i | ||||
\(107\) | 307.803 | + | 177.710i | 0.0268847 | + | 0.0155219i | 0.513382 | − | 0.858160i | \(-0.328392\pi\) |
−0.486497 | + | 0.873682i | \(0.661726\pi\) | |||||||
\(108\) | −10775.5 | − | 1692.04i | −0.923826 | − | 0.145065i | ||||
\(109\) | 4429.31 | − | 3716.64i | 0.372806 | − | 0.312822i | −0.437064 | − | 0.899430i | \(-0.643982\pi\) |
0.809871 | + | 0.586609i | \(0.199537\pi\) | |||||||
\(110\) | −14051.2 | − | 11567.3i | −1.16125 | − | 0.955972i | ||||
\(111\) | 8605.53 | − | 1517.39i | 0.698444 | − | 0.123155i | ||||
\(112\) | −1858.93 | + | 5773.20i | −0.148192 | + | 0.460236i | ||||
\(113\) | 1015.05 | 0.0794936 | 0.0397468 | − | 0.999210i | \(-0.487345\pi\) | ||||
0.0397468 | + | 0.999210i | \(0.487345\pi\) | |||||||
\(114\) | 4078.29 | + | 5892.21i | 0.313811 | + | 0.453387i | ||||
\(115\) | 17959.6i | 1.35800i | ||||||||
\(116\) | 4497.25 | + | 1541.86i | 0.334219 | + | 0.114586i | ||||
\(117\) | 2947.02 | + | 16713.4i | 0.215284 | + | 1.22094i | ||||
\(118\) | 16309.5 | + | 13426.4i | 1.17132 | + | 0.964261i | ||||
\(119\) | 460.800 | + | 549.160i | 0.0325400 | + | 0.0387797i | ||||
\(120\) | 1800.87 | − | 12215.9i | 0.125060 | − | 0.848329i | ||||
\(121\) | −472.413 | + | 818.242i | −0.0322664 | + | 0.0558871i | ||||
\(122\) | 15610.8 | − | 9209.41i | 1.04883 | − | 0.618746i | ||||
\(123\) | 2718.67 | + | 7469.49i | 0.179699 | + | 0.493720i | ||||
\(124\) | 4005.44 | + | 10393.3i | 0.260500 | + | 0.675946i | ||||
\(125\) | 5084.14 | + | 8805.98i | 0.325385 | + | 0.563583i | ||||
\(126\) | 2627.60 | − | 4651.46i | 0.165508 | − | 0.292987i | ||||
\(127\) | 9611.28 | + | 1694.73i | 0.595900 | + | 0.105073i | 0.463460 | − | 0.886118i | \(-0.346608\pi\) |
0.132440 | + | 0.991191i | \(0.457719\pi\) | |||||||
\(128\) | 11333.0 | + | 11832.1i | 0.691712 | + | 0.722174i | ||||
\(129\) | 5409.71 | + | 4539.28i | 0.325083 | + | 0.272777i | ||||
\(130\) | −46028.2 | + | 8562.38i | −2.72356 | + | 0.506650i | ||||
\(131\) | 112.640 | − | 309.477i | 0.00656374 | − | 0.0180337i | −0.936367 | − | 0.351021i | \(-0.885834\pi\) |
0.942931 | + | 0.332988i | \(0.108057\pi\) | |||||||
\(132\) | 9290.70 | − | 174.486i | 0.533213 | − | 0.0100141i | ||||
\(133\) | −8293.21 | + | 2090.96i | −0.468834 | + | 0.118207i | ||||
\(134\) | 19438.9 | − | 182.522i | 1.08259 | − | 0.0101650i | ||||
\(135\) | −9065.01 | + | 24905.9i | −0.497394 | + | 1.36658i | ||||
\(136\) | 1896.89 | − | 389.855i | 0.102557 | − | 0.0210778i | ||||
\(137\) | −8015.49 | − | 6725.79i | −0.427060 | − | 0.358346i | 0.403781 | − | 0.914856i | \(-0.367696\pi\) |
−0.830841 | + | 0.556510i | \(0.812140\pi\) | |||||||
\(138\) | −5959.82 | − | 6968.69i | −0.312950 | − | 0.365926i | ||||
\(139\) | −34487.6 | − | 6081.10i | −1.78498 | − | 0.314740i | −0.819085 | − | 0.573672i | \(-0.805519\pi\) |
−0.965896 | + | 0.258931i | \(0.916630\pi\) | |||||||
\(140\) | 12899.3 | + | 7127.86i | 0.658127 | + | 0.363666i | ||||
\(141\) | −7743.58 | − | 13412.3i | −0.389496 | − | 0.674627i | ||||
\(142\) | −11884.1 | + | 4452.25i | −0.589371 | + | 0.220802i | ||||
\(143\) | −12050.2 | − | 33107.6i | −0.589279 | − | 1.61903i | ||||
\(144\) | −7679.94 | − | 12218.3i | −0.370367 | − | 0.589231i | ||||
\(145\) | 5776.16 | − | 10004.6i | 0.274728 | − | 0.475843i | ||||
\(146\) | −22448.4 | − | 3741.29i | −1.05313 | − | 0.175516i | ||||
\(147\) | 5868.40 | + | 6993.69i | 0.271572 | + | 0.323647i | ||||
\(148\) | 21918.4 | + | 17701.1i | 1.00066 | + | 0.808123i | ||||
\(149\) | −5436.12 | − | 30829.8i | −0.244859 | − | 1.38867i | −0.820819 | − | 0.571188i | \(-0.806483\pi\) |
0.575960 | − | 0.817478i | \(-0.304628\pi\) | |||||||
\(150\) | −16592.5 | − | 5863.35i | −0.737445 | − | 0.260593i | ||||
\(151\) | 15255.5i | 0.669072i | 0.942383 | + | 0.334536i | \(0.108580\pi\) | ||||
−0.942383 | + | 0.334536i | \(0.891420\pi\) | |||||||
\(152\) | −5681.30 | + | 22394.6i | −0.245901 | + | 0.969295i | ||||
\(153\) | −1705.76 | −0.0728676 | ||||||||
\(154\) | −3695.21 | + | 10457.0i | −0.155811 | + | 0.440925i | ||||
\(155\) | 26654.2 | − | 4699.86i | 1.10944 | − | 0.195624i | ||||
\(156\) | 15018.5 | − | 18596.7i | 0.617133 | − | 0.764164i | ||||
\(157\) | −901.967 | + | 756.841i | −0.0365925 | + | 0.0307047i | −0.660900 | − | 0.750474i | \(-0.729825\pi\) |
0.624308 | + | 0.781178i | \(0.285381\pi\) | |||||||
\(158\) | −7828.01 | + | 46969.5i | −0.313572 | + | 1.88149i | ||||
\(159\) | −4087.52 | − | 2359.93i | −0.161683 | − | 0.0933479i | ||||
\(160\) | 33505.7 | − | 21501.9i | 1.30882 | − | 0.839917i | ||||
\(161\) | 10284.2 | − | 3743.14i | 0.396751 | − | 0.144406i | ||||
\(162\) | 1660.30 | + | 4431.73i | 0.0632641 | + | 0.168866i | ||||
\(163\) | −6050.74 | + | 3493.40i | −0.227737 | + | 0.131484i | −0.609528 | − | 0.792765i | \(-0.708641\pi\) |
0.381791 | + | 0.924249i | \(0.375308\pi\) | |||||||
\(164\) | −12395.1 | + | 22431.4i | −0.460854 | + | 0.834007i | ||||
\(165\) | 3920.90 | − | 22236.5i | 0.144018 | − | 0.816768i | ||||
\(166\) | 26672.0 | − | 22810.6i | 0.967918 | − | 0.827790i | ||||
\(167\) | 25101.6 | − | 29915.0i | 0.900055 | − | 1.07264i | −0.0969485 | − | 0.995289i | \(-0.530908\pi\) |
0.997004 | − | 0.0773545i | \(-0.0246473\pi\) | |||||||
\(168\) | −7370.55 | + | 1514.82i | −0.261145 | + | 0.0536713i | ||||
\(169\) | −58328.1 | − | 21229.7i | −2.04223 | − | 0.743311i | ||||
\(170\) | −44.1814 | − | 4705.40i | −0.00152877 | − | 0.162817i | ||||
\(171\) | 8872.90 | − | 18314.5i | 0.303440 | − | 0.626330i | ||||
\(172\) | 427.532 | + | 22764.5i | 0.0144515 | + | 0.769486i | ||||
\(173\) | −40260.4 | − | 14653.6i | −1.34520 | − | 0.489612i | −0.433752 | − | 0.901032i | \(-0.642810\pi\) |
−0.911446 | + | 0.411421i | \(0.865033\pi\) | |||||||
\(174\) | 1078.72 | + | 5798.79i | 0.0356294 | + | 0.191531i | ||||
\(175\) | 13500.9 | − | 16089.8i | 0.440847 | − | 0.525381i | ||||
\(176\) | 20106.0 | + | 22211.3i | 0.649083 | + | 0.717049i | ||||
\(177\) | −4551.07 | + | 25810.4i | −0.145267 | + | 0.823850i | ||||
\(178\) | −9454.24 | − | 5340.68i | −0.298392 | − | 0.168561i | ||||
\(179\) | −15134.1 | + | 8737.66i | −0.472335 | + | 0.272703i | −0.717217 | − | 0.696850i | \(-0.754584\pi\) |
0.244882 | + | 0.969553i | \(0.421251\pi\) | |||||||
\(180\) | −32721.4 | + | 12610.3i | −1.00992 | + | 0.389208i | ||||
\(181\) | 464.506 | − | 169.066i | 0.0141786 | − | 0.00516060i | −0.334921 | − | 0.942246i | \(-0.608710\pi\) |
0.349100 | + | 0.937086i | \(0.386487\pi\) | |||||||
\(182\) | 14496.3 | + | 24572.6i | 0.437637 | + | 0.741836i | ||||
\(183\) | 19473.8 | + | 11243.2i | 0.581499 | + | 0.335728i | ||||
\(184\) | 4311.74 | − | 29248.1i | 0.127355 | − | 0.863897i | ||||
\(185\) | 52442.6 | − | 44004.6i | 1.53229 | − | 1.28574i | ||||
\(186\) | −8782.78 | + | 10668.8i | −0.253867 | + | 0.308381i | ||||
\(187\) | 3487.37 | − | 614.917i | 0.0997273 | − | 0.0175846i | ||||
\(188\) | 16194.0 | − | 47233.9i | 0.458181 | − | 1.33641i | ||||
\(189\) | 16151.2 | 0.452149 | ||||||||
\(190\) | 50751.1 | + | 24001.9i | 1.40585 | + | 0.664872i | ||||
\(191\) | 18670.8i | 0.511794i | 0.966704 | + | 0.255897i | \(0.0823708\pi\) | ||||
−0.966704 | + | 0.255897i | \(0.917629\pi\) | |||||||
\(192\) | −5865.61 | + | 19461.9i | −0.159115 | + | 0.527939i | ||||
\(193\) | −1302.27 | − | 7385.56i | −0.0349613 | − | 0.198275i | 0.962324 | − | 0.271904i | \(-0.0876533\pi\) |
−0.997286 | + | 0.0736284i | \(0.976542\pi\) | |||||||
\(194\) | 16468.5 | − | 20004.8i | 0.437572 | − | 0.531534i | ||||
\(195\) | −37335.7 | − | 44495.0i | −0.981874 | − | 1.17015i | ||||
\(196\) | −4566.14 | + | 29078.8i | −0.118860 | + | 0.756946i | ||||
\(197\) | −13373.4 | + | 23163.4i | −0.344596 | + | 0.596857i | −0.985280 | − | 0.170947i | \(-0.945317\pi\) |
0.640685 | + | 0.767804i | \(0.278651\pi\) | |||||||
\(198\) | −13408.7 | − | 22729.1i | −0.342025 | − | 0.579764i | ||||
\(199\) | 5470.03 | + | 15028.8i | 0.138129 | + | 0.379505i | 0.989399 | − | 0.145222i | \(-0.0463896\pi\) |
−0.851270 | + | 0.524727i | \(0.824167\pi\) | |||||||
\(200\) | −20899.6 | − | 52749.1i | −0.522491 | − | 1.31873i | ||||
\(201\) | 12058.9 | + | 20886.6i | 0.298480 | + | 0.516983i | ||||
\(202\) | −4351.98 | − | 2458.43i | −0.106656 | − | 0.0602497i | ||||
\(203\) | −6932.80 | − | 1222.44i | −0.168235 | − | 0.0296644i | ||||
\(204\) | 1578.61 | + | 1811.13i | 0.0379329 | + | 0.0435202i | ||||
\(205\) | 47704.9 | + | 40029.2i | 1.13516 | + | 0.952509i | ||||
\(206\) | −11787.7 | − | 63366.3i | −0.277776 | − | 1.49322i | ||||
\(207\) | −8906.54 | + | 24470.5i | −0.207859 | + | 0.571087i | ||||
\(208\) | 77015.0 | − | 2893.81i | 1.78012 | − | 0.0668872i | ||||
\(209\) | −11538.1 | + | 40642.0i | −0.264144 | + | 0.930428i | ||||
\(210\) | 171.671 | + | 18283.3i | 0.00389277 | + | 0.414587i | ||||
\(211\) | 13672.6 | − | 37565.2i | 0.307105 | − | 0.843764i | −0.686113 | − | 0.727495i | \(-0.740684\pi\) |
0.993218 | − | 0.116269i | \(-0.0370935\pi\) | |||||||
\(212\) | −2923.43 | − | 14934.0i | −0.0650460 | − | 0.332281i | ||||
\(213\) | −12061.0 | − | 10120.4i | −0.265843 | − | 0.223069i | ||||
\(214\) | −1080.44 | + | 924.024i | −0.0235925 | + | 0.0201770i | ||||
\(215\) | 54484.8 | + | 9607.14i | 1.17869 | + | 0.207834i | ||||
\(216\) | 20742.3 | − | 38384.3i | 0.444579 | − | 0.822708i | ||||
\(217\) | −8246.57 | − | 14283.5i | −0.175127 | − | 0.303329i | ||||
\(218\) | 8114.03 | + | 21658.2i | 0.170735 | + | 0.455732i | ||||
\(219\) | −9656.79 | − | 26531.8i | −0.201347 | − | 0.553196i | ||||
\(220\) | 62351.8 | − | 37577.3i | 1.28826 | − | 0.776390i | ||||
\(221\) | 4554.68 | − | 7888.94i | 0.0932553 | − | 0.161523i | ||||
\(222\) | −5746.09 | + | 34477.6i | −0.116591 | + | 0.699570i | ||||
\(223\) | 33101.0 | + | 39448.3i | 0.665629 | + | 0.793265i | 0.988182 | − | 0.153286i | \(-0.0489856\pi\) |
−0.322553 | + | 0.946551i | \(0.604541\pi\) | |||||||
\(224\) | −19295.9 | − | 14705.0i | −0.384564 | − | 0.293068i | ||||
\(225\) | 8678.40 | + | 49217.7i | 0.171425 | + | 0.972201i | ||||
\(226\) | −1352.79 | + | 3828.22i | −0.0264859 | + | 0.0749515i | ||||
\(227\) | 60190.2i | 1.16808i | 0.811724 | + | 0.584042i | \(0.198530\pi\) | ||||
−0.811724 | + | 0.584042i | \(0.801470\pi\) | |||||||
\(228\) | −27657.4 | + | 7528.33i | −0.532038 | + | 0.144820i | ||||
\(229\) | 11001.7 | 0.209791 | 0.104896 | − | 0.994483i | \(-0.466549\pi\) | ||||
0.104896 | + | 0.994483i | \(0.466549\pi\) | |||||||
\(230\) | −67733.6 | − | 23935.2i | −1.28041 | − | 0.452462i | ||||
\(231\) | −13550.5 | + | 2389.32i | −0.253940 | + | 0.0447765i | ||||
\(232\) | −11808.7 | + | 14906.3i | −0.219394 | + | 0.276945i | ||||
\(233\) | −6966.26 | + | 5845.38i | −0.128318 | + | 0.107672i | −0.704688 | − | 0.709517i | \(-0.748913\pi\) |
0.576370 | + | 0.817189i | \(0.304469\pi\) | |||||||
\(234\) | −66961.3 | − | 11159.9i | −1.22290 | − | 0.203811i | ||||
\(235\) | −105077. | − | 60666.1i | −1.90270 | − | 1.09853i | ||||
\(236\) | −72373.0 | + | 43616.7i | −1.29943 | + | 0.783121i | ||||
\(237\) | −55513.2 | + | 20205.2i | −0.988325 | + | 0.359721i | ||||
\(238\) | −2685.25 | + | 1006.00i | −0.0474057 | + | 0.0177601i | ||||
\(239\) | 38606.4 | − | 22289.4i | 0.675871 | − | 0.390214i | −0.122427 | − | 0.992478i | \(-0.539068\pi\) |
0.798297 | + | 0.602263i | \(0.205734\pi\) | |||||||
\(240\) | 43671.7 | + | 23072.4i | 0.758190 | + | 0.400563i | ||||
\(241\) | 16959.3 | − | 96180.9i | 0.291994 | − | 1.65598i | −0.387182 | − | 0.922003i | \(-0.626551\pi\) |
0.679176 | − | 0.733976i | \(-0.262338\pi\) | |||||||
\(242\) | −2456.36 | − | 2872.18i | −0.0419432 | − | 0.0490434i | ||||
\(243\) | −39268.4 | + | 46798.3i | −0.665014 | + | 0.792533i | ||||
\(244\) | 13927.8 | + | 71149.0i | 0.233940 | + | 1.19506i | ||||
\(245\) | 67211.3 | + | 24462.9i | 1.11972 | + | 0.407545i | ||||
\(246\) | −31794.1 | + | 298.531i | −0.525383 | + | 0.00493308i | ||||
\(247\) | 61010.3 | + | 89939.2i | 1.00002 | + | 1.47420i | ||||
\(248\) | −44536.2 | + | 1254.81i | −0.724118 | + | 0.0204021i | ||||
\(249\) | 40915.4 | + | 14892.0i | 0.659915 | + | 0.240189i | ||||
\(250\) | −39987.1 | + | 7438.58i | −0.639794 | + | 0.119017i | ||||
\(251\) | −38142.4 | + | 45456.4i | −0.605426 | + | 0.721519i | −0.978492 | − | 0.206286i | \(-0.933862\pi\) |
0.373066 | + | 0.927805i | \(0.378307\pi\) | |||||||
\(252\) | 14040.9 | + | 16109.0i | 0.221102 | + | 0.253669i | ||||
\(253\) | 9387.63 | − | 53239.9i | 0.146661 | − | 0.831756i | ||||
\(254\) | −19200.8 | + | 33989.8i | −0.297613 | + | 0.526844i | ||||
\(255\) | 5055.83 | − | 2918.98i | 0.0777521 | − | 0.0448902i | ||||
\(256\) | −59728.0 | + | 26972.9i | −0.911377 | + | 0.411573i | ||||
\(257\) | −79240.1 | + | 28841.0i | −1.19972 | + | 0.436661i | −0.863125 | − | 0.504990i | \(-0.831496\pi\) |
−0.336591 | + | 0.941651i | \(0.609274\pi\) | |||||||
\(258\) | −24329.4 | + | 14352.8i | −0.365503 | + | 0.215624i | ||||
\(259\) | −36128.5 | − | 20858.8i | −0.538580 | − | 0.310949i | ||||
\(260\) | 29050.6 | − | 185005.i | 0.429742 | − | 2.73675i | ||||
\(261\) | 12831.7 | − | 10767.1i | 0.188366 | − | 0.158058i | ||||
\(262\) | 1017.06 | + | 837.266i | 0.0148164 | + | 0.0121972i | ||||
\(263\) | −73121.8 | + | 12893.3i | −1.05715 | + | 0.186403i | −0.675090 | − | 0.737735i | \(-0.735895\pi\) |
−0.382057 | + | 0.924139i | \(0.624784\pi\) | |||||||
\(264\) | −11723.9 | + | 35272.0i | −0.168215 | + | 0.506083i | ||||
\(265\) | −36977.1 | −0.526552 | ||||||||
\(266\) | 3166.63 | − | 34064.1i | 0.0447543 | − | 0.481431i | ||||
\(267\) | − | 13471.4i | − | 0.188969i | ||||||
\(268\) | −25218.5 | + | 73556.3i | −0.351115 | + | 1.02412i | ||||
\(269\) | 20547.0 | + | 116528.i | 0.283952 | + | 1.61037i | 0.709006 | + | 0.705202i | \(0.249144\pi\) |
−0.425055 | + | 0.905168i | \(0.639745\pi\) | |||||||
\(270\) | −81850.2 | − | 67381.1i | −1.12277 | − | 0.924295i | ||||
\(271\) | 15556.5 | + | 18539.5i | 0.211823 | + | 0.252441i | 0.861486 | − | 0.507782i | \(-0.169534\pi\) |
−0.649663 | + | 0.760223i | \(0.725090\pi\) | |||||||
\(272\) | −1057.72 | + | 7673.60i | −0.0142966 | + | 0.103720i | ||||
\(273\) | −17697.7 | + | 30653.2i | −0.237460 | + | 0.411293i | ||||
\(274\) | 36048.5 | − | 21266.4i | 0.480160 | − | 0.283264i | ||||
\(275\) | −35485.4 | − | 97495.3i | −0.469228 | − | 1.28919i | ||||
\(276\) | 34224.9 | − | 13189.8i | 0.449287 | − | 0.173149i | ||||
\(277\) | 27314.3 | + | 47309.8i | 0.355985 | + | 0.616583i | 0.987286 | − | 0.158954i | \(-0.0508123\pi\) |
−0.631301 | + | 0.775538i | \(0.717479\pi\) | |||||||
\(278\) | 68897.2 | − | 121964.i | 0.891481 | − | 1.57813i | ||||
\(279\) | 38648.1 | + | 6814.70i | 0.496500 | + | 0.0875464i | ||||
\(280\) | −44073.6 | + | 39149.5i | −0.562164 | + | 0.499356i | ||||
\(281\) | 38460.3 | + | 32272.0i | 0.487080 | + | 0.408708i | 0.852978 | − | 0.521946i | \(-0.174794\pi\) |
−0.365899 | + | 0.930655i | \(0.619238\pi\) | |||||||
\(282\) | 60903.8 | − | 11329.6i | 0.765854 | − | 0.142468i | ||||
\(283\) | 47979.8 | − | 131823.i | 0.599081 | − | 1.64596i | −0.154030 | − | 0.988066i | \(-0.549225\pi\) |
0.753110 | − | 0.657894i | \(-0.228553\pi\) | |||||||
\(284\) | −953.190 | − | 50753.8i | −0.0118180 | − | 0.629263i | ||||
\(285\) | 5041.68 | + | 69467.5i | 0.0620706 | + | 0.855248i | ||||
\(286\) | 140923. | − | 1323.20i | 1.72286 | − | 0.0161768i | ||||
\(287\) | 12979.2 | − | 35660.2i | 0.157574 | − | 0.432932i | ||||
\(288\) | 56315.9 | − | 12680.8i | 0.678963 | − | 0.152884i | ||||
\(289\) | −63279.4 | − | 53097.7i | −0.757647 | − | 0.635741i | ||||
\(290\) | 30033.8 | + | 35117.9i | 0.357120 | + | 0.417573i | ||||
\(291\) | 31658.4 | + | 5582.23i | 0.373855 | + | 0.0659207i | ||||
\(292\) | 44027.8 | − | 79677.1i | 0.516370 | − | 0.934475i | ||||
\(293\) | 80090.6 | + | 138721.i | 0.932924 | + | 1.61587i | 0.778295 | + | 0.627898i | \(0.216085\pi\) |
0.154628 | + | 0.987973i | \(0.450582\pi\) | |||||||
\(294\) | −34197.3 | + | 12811.7i | −0.395637 | + | 0.148222i | ||||
\(295\) | 70226.2 | + | 192945.i | 0.806965 | + | 2.21712i | ||||
\(296\) | −95970.2 | + | 59073.3i | −1.09535 | + | 0.674230i | ||||
\(297\) | 39891.2 | − | 69093.5i | 0.452235 | − | 0.783293i | ||||
\(298\) | 123518. | + | 20585.7i | 1.39090 | + | 0.231810i | ||||
\(299\) | −89391.3 | − | 106532.i | −0.999892 | − | 1.19162i | ||||
\(300\) | 44226.6 | − | 54763.6i | 0.491407 | − | 0.608484i | ||||
\(301\) | −5854.41 | − | 33202.0i | −0.0646175 | − | 0.366464i | ||||
\(302\) | −57535.4 | − | 20331.4i | −0.630843 | − | 0.222923i | ||||
\(303\) | − | 6201.17i | − | 0.0675442i | ||||||
\(304\) | −76888.5 | − | 51272.6i | −0.831982 | − | 0.554803i | ||||
\(305\) | 176167. | 1.89376 | ||||||||
\(306\) | 2273.31 | − | 6433.18i | 0.0242782 | − | 0.0687042i | ||||
\(307\) | −32878.2 | + | 5797.32i | −0.348844 | + | 0.0615107i | −0.345325 | − | 0.938483i | \(-0.612231\pi\) |
−0.00351926 | + | 0.999994i | \(0.501120\pi\) | |||||||
\(308\) | −34513.3 | − | 27872.6i | −0.363818 | − | 0.293817i | ||||
\(309\) | 61255.6 | − | 51399.5i | 0.641547 | − | 0.538322i | ||||
\(310\) | −17797.6 | + | 106789.i | −0.185199 | + | 1.11123i | ||||
\(311\) | 28250.7 | + | 16310.6i | 0.292085 | + | 0.168635i | 0.638882 | − | 0.769305i | \(-0.279397\pi\) |
−0.346797 | + | 0.937940i | \(0.612731\pi\) | |||||||
\(312\) | 50120.8 | + | 81426.0i | 0.514884 | + | 0.836477i | ||||
\(313\) | −160646. | + | 58470.3i | −1.63976 | + | 0.596825i | −0.986998 | − | 0.160736i | \(-0.948613\pi\) |
−0.652765 | + | 0.757560i | \(0.726391\pi\) | |||||||
\(314\) | −1652.31 | − | 4410.39i | −0.0167584 | − | 0.0447319i | ||||
\(315\) | 44968.7 | − | 25962.7i | 0.453199 | − | 0.261654i | ||||
\(316\) | −166710. | − | 92120.5i | −1.66951 | − | 0.922534i | ||||
\(317\) | 15459.2 | − | 87673.6i | 0.153840 | − | 0.872469i | −0.805999 | − | 0.591917i | \(-0.798371\pi\) |
0.959839 | − | 0.280552i | \(-0.0905176\pi\) | |||||||
\(318\) | 14347.9 | − | 12270.7i | 0.141884 | − | 0.121343i | ||||
\(319\) | −22352.5 | + | 26638.7i | −0.219657 | + | 0.261777i | ||||
\(320\) | 36439.2 | + | 155021.i | 0.355852 | + | 1.51388i | ||||
\(321\) | −1657.42 | − | 603.253i | −0.0160851 | − | 0.00585450i | ||||
\(322\) | 411.025 | + | 43774.9i | 0.00396421 | + | 0.422195i | ||||
\(323\) | −9967.18 | + | 4469.19i | −0.0955360 | + | 0.0428375i | ||||
\(324\) | −18926.8 | + | 355.457i | −0.180296 | + | 0.00338608i | ||||
\(325\) | −250799. | − | 91283.4i | −2.37443 | − | 0.864221i | ||||
\(326\) | −5111.18 | − | 27475.8i | −0.0480934 | − | 0.258533i | ||||
\(327\) | −18444.0 | + | 21980.7i | −0.172488 | + | 0.205564i | ||||
\(328\) | −68079.7 | − | 76642.6i | −0.632805 | − | 0.712398i | ||||
\(329\) | −12839.1 | + | 72814.1i | −0.118616 | + | 0.672704i | ||||
\(330\) | 78638.4 | + | 44422.7i | 0.722115 | + | 0.407922i | ||||
\(331\) | 51853.7 | − | 29937.7i | 0.473286 | − | 0.273252i | −0.244328 | − | 0.969693i | \(-0.578567\pi\) |
0.717614 | + | 0.696441i | \(0.245234\pi\) | |||||||
\(332\) | 50482.5 | + | 130992.i | 0.457999 | + | 1.18842i | ||||
\(333\) | 93277.7 | − | 33950.3i | 0.841181 | − | 0.306165i | ||||
\(334\) | 79369.1 | + | 134538.i | 0.711473 | + | 1.20601i | ||||
\(335\) | 163634. | + | 94473.9i | 1.45808 | + | 0.841826i | ||||
\(336\) | 4109.88 | − | 29816.5i | 0.0364041 | − | 0.264106i | ||||
\(337\) | 12831.2 | − | 10766.7i | 0.112982 | − | 0.0948028i | −0.584547 | − | 0.811360i | \(-0.698728\pi\) |
0.697528 | + | 0.716557i | \(0.254283\pi\) | |||||||
\(338\) | 157802. | − | 191688.i | 1.38127 | − | 1.67788i | ||||
\(339\) | −4960.74 | + | 874.712i | −0.0431665 | + | 0.00761142i | ||||
\(340\) | 17805.1 | + | 6104.40i | 0.154023 | + | 0.0528062i | ||||
\(341\) | −81471.3 | −0.700642 | ||||||||
\(342\) | 57247.1 | + | 57872.0i | 0.489442 | + | 0.494784i | ||||
\(343\) | − | 100470.i | − | 0.853979i | ||||||
\(344\) | −86424.9 | − | 28726.5i | −0.730335 | − | 0.242753i | ||||
\(345\) | −15476.5 | − | 87771.4i | −0.130027 | − | 0.737420i | ||||
\(346\) | 108921. | − | 132311.i | 0.909832 | − | 1.10521i | ||||
\(347\) | 107914. | + | 128606.i | 0.896226 | + | 1.06808i | 0.997317 | + | 0.0732032i | \(0.0233222\pi\) |
−0.101091 | + | 0.994877i | \(0.532233\pi\) | |||||||
\(348\) | −23307.5 | − | 3659.89i | −0.192458 | − | 0.0302210i | ||||
\(349\) | 98334.6 | − | 170321.i | 0.807338 | − | 1.39835i | −0.107363 | − | 0.994220i | \(-0.534241\pi\) |
0.914701 | − | 0.404131i | \(-0.132426\pi\) | |||||||
\(350\) | 42688.7 | + | 72361.4i | 0.348480 | + | 0.590706i | ||||
\(351\) | −70194.1 | − | 192857.i | −0.569753 | − | 1.56538i | ||||
\(352\) | −110565. | + | 46227.1i | −0.892341 | + | 0.373088i | ||||
\(353\) | −32945.0 | − | 57062.4i | −0.264387 | − | 0.457932i | 0.703016 | − | 0.711174i | \(-0.251836\pi\) |
−0.967403 | + | 0.253243i | \(0.918503\pi\) | |||||||
\(354\) | −91277.2 | − | 51562.4i | −0.728377 | − | 0.411459i | ||||
\(355\) | −121475. | − | 21419.3i | −0.963895 | − | 0.169961i | ||||
\(356\) | 32742.1 | − | 28538.5i | 0.258348 | − | 0.225181i | ||||
\(357\) | −2725.24 | − | 2286.74i | −0.0213830 | − | 0.0179424i | ||||
\(358\) | −12784.0 | − | 68722.3i | −0.0997475 | − | 0.536206i | ||||
\(359\) | 14555.9 | − | 39991.9i | 0.112940 | − | 0.310301i | −0.870326 | − | 0.492477i | \(-0.836092\pi\) |
0.983266 | + | 0.182176i | \(0.0583139\pi\) | |||||||
\(360\) | −3950.52 | − | 140213.i | −0.0304824 | − | 1.08189i | ||||
\(361\) | 3861.46 | − | 130264.i | 0.0296304 | − | 0.999561i | ||||
\(362\) | 18.5648 | + | 1977.18i | 0.000141668 | + | 0.0150879i | ||||
\(363\) | 1603.65 | − | 4405.98i | 0.0121701 | − | 0.0334372i | ||||
\(364\) | −111994. | + | 21923.5i | −0.845263 | + | 0.165465i | ||||
\(365\) | −169449. | − | 142185.i | −1.27190 | − | 1.06725i | ||||
\(366\) | −68356.5 | + | 58460.4i | −0.510291 | + | 0.436415i | ||||
\(367\) | 20643.8 | + | 3640.06i | 0.153270 | + | 0.0270256i | 0.249757 | − | 0.968309i | \(-0.419649\pi\) |
−0.0964866 | + | 0.995334i | \(0.530760\pi\) | |||||||
\(368\) | 104561. | + | 55241.3i | 0.772103 | + | 0.407913i | ||||
\(369\) | 45148.2 | + | 78199.1i | 0.331580 | + | 0.574313i | ||||
\(370\) | 96069.3 | + | 256431.i | 0.701748 | + | 1.87313i | ||||
\(371\) | 7706.78 | + | 21174.2i | 0.0559919 | + | 0.153837i | ||||
\(372\) | −28531.6 | − | 47342.4i | −0.206177 | − | 0.342109i | ||||
\(373\) | −57283.3 | + | 99217.6i | −0.411728 | + | 0.713134i | −0.995079 | − | 0.0990864i | \(-0.968408\pi\) |
0.583351 | + | 0.812220i | \(0.301741\pi\) | |||||||
\(374\) | −2328.59 | + | 13971.9i | −0.0166475 | + | 0.0998880i | ||||
\(375\) | −32435.5 | − | 38655.1i | −0.230652 | − | 0.274881i | ||||
\(376\) | 156558. | + | 124025.i | 1.10739 | + | 0.877268i | ||||
\(377\) | 15533.6 | + | 88095.3i | 0.109292 | + | 0.619826i | ||||
\(378\) | −21525.2 | + | 60913.5i | −0.150648 | + | 0.426314i | ||||
\(379\) | − | 74798.8i | − | 0.520734i | −0.965510 | − | 0.260367i | \(-0.916156\pi\) | ||
0.965510 | − | 0.260367i | \(-0.0838436\pi\) | |||||||
\(380\) | −158159. | + | 159417.i | −1.09529 | + | 1.10400i | ||||
\(381\) | −48432.3 | −0.333646 | ||||||||
\(382\) | −70415.8 | − | 24883.1i | −0.482551 | − | 0.170521i | ||||
\(383\) | −16740.0 | + | 2951.71i | −0.114119 | + | 0.0201223i | −0.230416 | − | 0.973092i | \(-0.574009\pi\) |
0.116297 | + | 0.993214i | \(0.462898\pi\) | |||||||
\(384\) | −65582.4 | − | 48059.3i | −0.444759 | − | 0.325923i | ||||
\(385\) | −82577.5 | + | 69290.7i | −0.557109 | + | 0.467470i | ||||
\(386\) | 29589.9 | + | 4931.49i | 0.198595 | + | 0.0330981i | ||||
\(387\) | 69473.0 | + | 40110.3i | 0.463868 | + | 0.267814i | ||||
\(388\) | 53499.2 | + | 88771.0i | 0.355373 | + | 0.589668i | ||||
\(389\) | 143236. | − | 52133.6i | 0.946570 | − | 0.344523i | 0.177813 | − | 0.984064i | \(-0.443098\pi\) |
0.768757 | + | 0.639541i | \(0.220875\pi\) | |||||||
\(390\) | 217569. | − | 81510.1i | 1.43043 | − | 0.535898i | ||||
\(391\) | 12105.0 | − | 6988.80i | 0.0791789 | − | 0.0457140i | ||||
\(392\) | −103584. | − | 55975.2i | −0.674094 | − | 0.364270i | ||||
\(393\) | −283.804 | + | 1609.53i | −0.00183752 | + | 0.0104211i | ||||
\(394\) | −69536.6 | − | 81307.7i | −0.447941 | − | 0.523768i | ||||
\(395\) | −297497. | + | 354543.i | −1.90673 | + | 2.27235i | ||||
\(396\) | 103592. | − | 20278.7i | 0.660594 | − | 0.129315i | ||||
\(397\) | −230420. | − | 83866.1i | −1.46197 | − | 0.532115i | −0.516065 | − | 0.856549i | \(-0.672604\pi\) |
−0.945908 | + | 0.324435i | \(0.894826\pi\) | |||||||
\(398\) | −63970.4 | + | 600.650i | −0.403843 | + | 0.00379189i | ||||
\(399\) | 38728.4 | − | 17365.5i | 0.243267 | − | 0.109079i | ||||
\(400\) | 226794. | − | 8521.69i | 1.41746 | − | 0.0532606i | ||||
\(401\) | −17012.5 | − | 6192.06i | −0.105799 | − | 0.0385076i | 0.288578 | − | 0.957456i | \(-0.406817\pi\) |
−0.394377 | + | 0.918949i | \(0.629040\pi\) | |||||||
\(402\) | −94844.1 | + | 17643.3i | −0.586892 | + | 0.109176i | ||||
\(403\) | −134715. | + | 160547.i | −0.829477 | + | 0.988532i | ||||
\(404\) | 15071.9 | − | 13136.9i | 0.0923430 | − | 0.0804876i | ||||
\(405\) | −7987.54 | + | 45299.6i | −0.0486971 | + | 0.276175i | ||||
\(406\) | 13849.9 | − | 24517.5i | 0.0840224 | − | 0.148739i | ||||
\(407\) | −178464. | + | 103036.i | −1.07736 | + | 0.622016i | ||||
\(408\) | −8934.47 | + | 3539.91i | −0.0536721 | + | 0.0212653i | ||||
\(409\) | 9158.84 | − | 3333.54i | 0.0547512 | − | 0.0199278i | −0.314499 | − | 0.949258i | \(-0.601837\pi\) |
0.369251 | + | 0.929330i | \(0.379614\pi\) | |||||||
\(410\) | −214546. | + | 126569.i | −1.27630 | + | 0.752937i | ||||
\(411\) | 44968.9 | + | 25962.8i | 0.266213 | + | 0.153698i | ||||
\(412\) | 254693. | + | 39993.5i | 1.50045 | + | 0.235610i | ||||
\(413\) | 95849.5 | − | 80427.2i | 0.561939 | − | 0.471523i | ||||
\(414\) | −80419.3 | − | 66203.1i | −0.469202 | − | 0.386258i | ||||
\(415\) | 335936. | − | 59234.6i | 1.95056 | − | 0.343937i | ||||
\(416\) | −91726.3 | + | 294315.i | −0.530038 | + | 1.70069i | ||||
\(417\) | 173787. | 0.999414 | ||||||||
\(418\) | −137902. | − | 97680.0i | −0.789257 | − | 0.559053i | ||||
\(419\) | − | 93286.4i | − | 0.531362i | −0.964061 | − | 0.265681i | \(-0.914403\pi\) | ||
0.964061 | − | 0.265681i | \(-0.0855968\pi\) | |||||||
\(420\) | −69183.3 | − | 23719.2i | −0.392196 | − | 0.134463i | ||||
\(421\) | 8954.96 | + | 50786.1i | 0.0505242 | + | 0.286537i | 0.999593 | − | 0.0285323i | \(-0.00908336\pi\) |
−0.949069 | + | 0.315069i | \(0.897972\pi\) | |||||||
\(422\) | 123453. | + | 101630.i | 0.693232 | + | 0.570685i | ||||
\(423\) | −113085. | − | 134769.i | −0.632010 | − | 0.753200i | ||||
\(424\) | 60219.1 | + | 8877.47i | 0.334968 | + | 0.0493808i | ||||
\(425\) | 13412.6 | − | 23231.4i | 0.0742569 | − | 0.128617i | ||||
\(426\) | 54242.7 | − | 31999.8i | 0.298898 | − | 0.176331i | ||||
\(427\) | −36716.8 | − | 100879.i | −0.201377 | − | 0.553278i | ||||
\(428\) | −2044.97 | − | 5306.31i | −0.0111635 | − | 0.0289671i | ||||
\(429\) | 87421.3 | + | 151418.i | 0.475010 | + | 0.822741i | ||||
\(430\) | −108846. | + | 192683.i | −0.588677 | + | 1.04209i | ||||
\(431\) | −55135.1 | − | 9721.81i | −0.296807 | − | 0.0523351i | 0.0232618 | − | 0.999729i | \(-0.492595\pi\) |
−0.320069 | + | 0.947394i | \(0.603706\pi\) | |||||||
\(432\) | 117120. | + | 129384.i | 0.627575 | + | 0.693288i | ||||
\(433\) | −97838.5 | − | 82096.3i | −0.521836 | − | 0.437872i | 0.343435 | − | 0.939176i | \(-0.388409\pi\) |
−0.865271 | + | 0.501304i | \(0.832854\pi\) | |||||||
\(434\) | 64859.9 | − | 12065.5i | 0.344347 | − | 0.0640570i | ||||
\(435\) | −19607.7 | + | 53871.7i | −0.103621 | + | 0.284696i | ||||
\(436\) | −92496.6 | + | 1737.15i | −0.486578 | + | 0.00913827i | ||||
\(437\) | 12071.1 | + | 166323.i | 0.0632097 | + | 0.870943i | ||||
\(438\) | 112933. | − | 1060.39i | 0.588673 | − | 0.00552734i | ||||
\(439\) | 89502.3 | − | 245906.i | 0.464414 | − | 1.27597i | −0.457720 | − | 0.889096i | \(-0.651334\pi\) |
0.922134 | − | 0.386870i | \(-0.126444\pi\) | |||||||
\(440\) | 58622.8 | + | 285237.i | 0.302804 | + | 1.47333i | ||||
\(441\) | 79446.0 | + | 66663.1i | 0.408502 | + | 0.342774i | ||||
\(442\) | 23682.6 | + | 27691.6i | 0.121223 | + | 0.141744i | ||||
\(443\) | 165681. | + | 29214.0i | 0.844237 | + | 0.148862i | 0.579006 | − | 0.815323i | \(-0.303441\pi\) |
0.265231 | + | 0.964185i | \(0.414552\pi\) | |||||||
\(444\) | −122373. | − | 67620.4i | −0.620752 | − | 0.343014i | ||||
\(445\) | −52770.0 | − | 91400.3i | −0.266481 | − | 0.461559i | ||||
\(446\) | −192892. | + | 72265.1i | −0.969716 | + | 0.363294i | ||||
\(447\) | 53134.4 | + | 145986.i | 0.265926 | + | 0.730626i | ||||
\(448\) | 81175.2 | − | 53175.8i | 0.404452 | − | 0.264946i | ||||
\(449\) | 147473. | − | 255431.i | 0.731509 | − | 1.26701i | −0.224729 | − | 0.974421i | \(-0.572150\pi\) |
0.956238 | − | 0.292590i | \(-0.0945170\pi\) | |||||||
\(450\) | −197188. | − | 32863.6i | −0.973767 | − | 0.162290i | ||||
\(451\) | −120494. | − | 143600.i | −0.592398 | − | 0.705993i | ||||
\(452\) | −12635.1 | − | 10204.0i | −0.0618444 | − | 0.0499450i | ||||
\(453\) | −13146.3 | − | 74556.2i | −0.0640628 | − | 0.363318i | ||||
\(454\) | −227004. | − | 80217.2i | −1.10134 | − | 0.389185i | ||||
\(455\) | 277300.i | 1.33945i | ||||||||
\(456\) | 8467.13 | − | 114342.i | 0.0407199 | − | 0.549890i | ||||
\(457\) | 310018. | 1.48441 | 0.742207 | − | 0.670171i | \(-0.233779\pi\) | ||||
0.742207 | + | 0.670171i | \(0.233779\pi\) | |||||||
\(458\) | −14662.2 | + | 41492.2i | −0.0698987 | + | 0.197804i | ||||
\(459\) | 20314.4 | − | 3581.98i | 0.0964227 | − | 0.0170019i | ||||
\(460\) | 180541. | − | 223555.i | 0.853219 | − | 1.05650i | ||||
\(461\) | −188647. | + | 158294.i | −0.887665 | + | 0.744839i | −0.967740 | − | 0.251949i | \(-0.918928\pi\) |
0.0800753 | + | 0.996789i | \(0.474484\pi\) | |||||||
\(462\) | 9047.94 | − | 54289.3i | 0.0423902 | − | 0.254349i | ||||
\(463\) | −323774. | − | 186931.i | −1.51036 | − | 0.872006i | −0.999927 | − | 0.0120882i | \(-0.996152\pi\) |
−0.510432 | − | 0.859918i | \(-0.670515\pi\) | |||||||
\(464\) | −40480.5 | − | 64401.8i | −0.188022 | − | 0.299132i | ||||
\(465\) | −126214. | + | 45938.0i | −0.583714 | + | 0.212455i | ||||
\(466\) | −12761.4 | − | 34063.2i | −0.0587662 | − | 0.156860i | ||||
\(467\) | 107744. | − | 62206.3i | 0.494039 | − | 0.285233i | −0.232210 | − | 0.972666i | \(-0.574596\pi\) |
0.726248 | + | 0.687432i | \(0.241262\pi\) | |||||||
\(468\) | 131330. | − | 237668.i | 0.599615 | − | 1.08512i | ||||
\(469\) | 19994.0 | − | 113392.i | 0.0908981 | − | 0.515509i | ||||
\(470\) | 368838. | − | 315440.i | 1.66970 | − | 1.42798i | ||||
\(471\) | 3755.87 | − | 4476.07i | 0.0169304 | − | 0.0201769i | ||||
\(472\) | −68044.7 | − | 331080.i | −0.305429 | − | 1.48611i | ||||
\(473\) | −156495. | − | 56959.4i | −0.699484 | − | 0.254591i | ||||
\(474\) | −2218.68 | − | 236293.i | −0.00987501 | − | 1.05171i | ||||
\(475\) | 179663. | + | 264853.i | 0.796292 | + | 1.17386i | ||||
\(476\) | −215.377 | − | 11468.0i | −0.000950572 | − | 0.0506144i | ||||
\(477\) | −50382.6 | − | 18337.8i | −0.221434 | − | 0.0805952i | ||||
\(478\) | 32611.6 | + | 175308.i | 0.142730 | + | 0.767266i | ||||
\(479\) | −171258. | + | 204098.i | −0.746416 | + | 0.889543i | −0.996908 | − | 0.0785750i | \(-0.974963\pi\) |
0.250493 | + | 0.968119i | \(0.419407\pi\) | |||||||
\(480\) | −145219. | + | 133956.i | −0.630291 | + | 0.581408i | ||||
\(481\) | −92051.9 | + | 522052.i | −0.397871 | + | 2.25644i | ||||
\(482\) | 340139. | + | 192144.i | 1.46407 | + | 0.827053i | ||||
\(483\) | −47034.9 | + | 27155.6i | −0.201617 | + | 0.116403i | ||||
\(484\) | 14105.9 | − | 5436.22i | 0.0602159 | − | 0.0232063i | ||||
\(485\) | 236661. | − | 86137.7i | 1.00611 | − | 0.366193i | ||||
\(486\) | −124163. | − | 210468.i | −0.525679 | − | 0.891075i | ||||
\(487\) | 300803. | + | 173669.i | 1.26831 | + | 0.732258i | 0.974668 | − | 0.223658i | \(-0.0717999\pi\) |
0.293640 | + | 0.955916i | \(0.405133\pi\) | |||||||
\(488\) | −286897. | − | 42294.2i | −1.20472 | − | 0.177599i | ||||
\(489\) | 26560.6 | − | 22287.0i | 0.111076 | − | 0.0932038i | ||||
\(490\) | −181835. | + | 220882.i | −0.757330 | + | 0.919956i | ||||
\(491\) | 114383. | − | 20168.7i | 0.474457 | − | 0.0836596i | 0.0686938 | − | 0.997638i | \(-0.478117\pi\) |
0.405763 | + | 0.913978i | \(0.367006\pi\) | |||||||
\(492\) | 41247.0 | − | 120308.i | 0.170397 | − | 0.497007i | ||||
\(493\) | −8990.95 | −0.0369923 | ||||||||
\(494\) | −420511. | + | 110233.i | −1.72315 | + | 0.451707i | ||||
\(495\) | − | 256496.i | − | 1.04682i | ||||||
\(496\) | 54622.2 | − | 169638.i | 0.222027 | − | 0.689541i | ||||
\(497\) | 13052.5 | + | 74024.4i | 0.0528422 | + | 0.299683i | ||||
\(498\) | −110693. | + | 134463.i | −0.446338 | + | 0.542182i | ||||
\(499\) | −183336. | − | 218492.i | −0.736287 | − | 0.877472i | 0.259817 | − | 0.965658i | \(-0.416338\pi\) |
−0.996104 | + | 0.0881854i | \(0.971893\pi\) | |||||||
\(500\) | 25237.7 | − | 160723.i | 0.100951 | − | 0.642892i | ||||
\(501\) | −96897.0 | + | 167830.i | −0.386042 | + | 0.668645i | ||||
\(502\) | −120603. | − | 204433.i | −0.478576 | − | 0.811231i | ||||
\(503\) | −22971.0 | − | 63112.4i | −0.0907913 | − | 0.249447i | 0.885983 | − | 0.463718i | \(-0.153485\pi\) |
−0.976774 | + | 0.214271i | \(0.931263\pi\) | |||||||
\(504\) | −79466.9 | + | 31485.5i | −0.312842 | + | 0.123951i | ||||
\(505\) | −24291.1 | − | 42073.5i | −0.0952500 | − | 0.164978i | ||||
\(506\) | 188280. | + | 106359.i | 0.735367 | + | 0.415408i | ||||
\(507\) | 303354. | + | 53489.4i | 1.18014 | + | 0.208090i | ||||
\(508\) | −102602. | − | 117714.i | −0.397582 | − | 0.456143i | ||||
\(509\) | 259151. | + | 217453.i | 1.00027 | + | 0.839326i | 0.987022 | − | 0.160587i | \(-0.0513386\pi\) |
0.0132475 | + | 0.999912i | \(0.495783\pi\) | |||||||
\(510\) | 4270.75 | + | 22958.0i | 0.0164197 | + | 0.0882661i | ||||
\(511\) | −46102.6 | + | 126666.i | −0.176556 | + | 0.485085i | ||||
\(512\) | −22125.6 | − | 261209.i | −0.0844025 | − | 0.996432i | ||||
\(513\) | −67211.0 | + | 236746.i | −0.255391 | + | 0.899597i | ||||
\(514\) | −3166.96 | − | 337287.i | −0.0119872 | − | 1.27666i | ||||
\(515\) | 214263. | − | 588683.i | 0.807854 | − | 2.21956i | ||||
\(516\) | −21706.5 | − | 110885.i | −0.0815248 | − | 0.416461i | ||||
\(517\) | 279782. | + | 234765.i | 1.04674 | + | 0.878319i | ||||
\(518\) | 126817. | − | 108458.i | 0.472627 | − | 0.404204i | ||||
\(519\) | 209387. | + | 36920.6i | 0.777347 | + | 0.137067i | ||||
\(520\) | 659019. | + | 356124.i | 2.43720 | + | 1.31703i | ||||
\(521\) | −50088.6 | − | 86756.0i | −0.184528 | − | 0.319613i | 0.758889 | − | 0.651220i | \(-0.225742\pi\) |
−0.943418 | + | 0.331607i | \(0.892409\pi\) | |||||||
\(522\) | 23506.3 | + | 62743.7i | 0.0862668 | + | 0.230266i | ||||
\(523\) | −16769.8 | − | 46074.8i | −0.0613092 | − | 0.168446i | 0.905256 | − | 0.424866i | \(-0.139679\pi\) |
−0.966565 | + | 0.256421i | \(0.917457\pi\) | |||||||
\(524\) | −4513.17 | + | 2719.93i | −0.0164369 | + | 0.00990593i | ||||
\(525\) | −52116.1 | + | 90267.8i | −0.189083 | + | 0.327502i | ||||
\(526\) | 48824.9 | − | 292958.i | 0.176470 | − | 1.05885i | ||||
\(527\) | −13540.0 | − | 16136.4i | −0.0487526 | − | 0.0581011i | ||||
\(528\) | −117402. | − | 91224.2i | −0.421120 | − | 0.327222i | ||||
\(529\) | 11539.3 | + | 65442.4i | 0.0412351 | + | 0.233856i | ||||
\(530\) | 49280.5 | − | 139457.i | 0.175438 | − | 0.496466i | ||||
\(531\) | 297720.i | 1.05589i | ||||||||
\(532\) | 124251. | + | 57341.0i | 0.439012 | + | 0.202601i | ||||
\(533\) | −482216. | −1.69741 | ||||||||
\(534\) | 50806.7 | + | 17953.7i | 0.178172 | + | 0.0629610i | ||||
\(535\) | −13608.3 | + | 2399.51i | −0.0475440 | + | 0.00838329i | ||||
\(536\) | −243804. | − | 193141.i | −0.848618 | − | 0.672271i | ||||
\(537\) | 66433.2 | − | 55744.0i | 0.230375 | − | 0.193308i | ||||
\(538\) | −466863. | − | 77808.1i | −1.61296 | − | 0.268819i | ||||
\(539\) | −186456. | − | 107651.i | −0.641799 | − | 0.370543i | ||||
\(540\) | 363209. | − | 218893.i | 1.24557 | − | 0.750663i | ||||
\(541\) | 65411.4 | − | 23807.8i | 0.223490 | − | 0.0813439i | −0.227848 | − | 0.973697i | \(-0.573169\pi\) |
0.451338 | + | 0.892353i | \(0.350947\pi\) | |||||||
\(542\) | −90653.5 | + | 33962.4i | −0.308593 | + | 0.115611i | ||||
\(543\) | −2124.43 | + | 1226.54i | −0.00720514 | + | 0.00415989i | ||||
\(544\) | −27530.9 | − | 14216.0i | −0.0930301 | − | 0.0480373i | ||||
\(545\) | −39035.7 | + | 221383.i | −0.131422 | + | 0.745334i | ||||
\(546\) | −92021.0 | − | 107598.i | −0.308675 | − | 0.360928i | ||||
\(547\) | 262295. | − | 312591.i | 0.876628 | − | 1.04473i | −0.122008 | − | 0.992529i | \(-0.538934\pi\) |
0.998637 | − | 0.0521960i | \(-0.0166220\pi\) | |||||||
\(548\) | 32162.2 | + | 164297.i | 0.107099 | + | 0.547103i | ||||
\(549\) | 240033. | + | 87365.0i | 0.796392 | + | 0.289863i | ||||
\(550\) | 414991. | − | 3896.56i | 1.37187 | − | 0.0128812i | ||||
\(551\) | 46768.5 | − | 96534.6i | 0.154046 | − | 0.317965i | ||||
\(552\) | 4132.05 | + | 146656.i | 0.0135609 | + | 0.481306i | ||||
\(553\) | 265026. | + | 96461.7i | 0.866641 | + | 0.315431i | ||||
\(554\) | −214829. | + | 39963.5i | −0.699961 | + | 0.130210i | ||||
\(555\) | −218375. | + | 260250.i | −0.708953 | + | 0.844897i | ||||
\(556\) | 368159. | + | 422387.i | 1.19093 | + | 1.36635i | ||||
\(557\) | 64827.9 | − | 367657.i | 0.208954 | − | 1.18504i | −0.682140 | − | 0.731221i | \(-0.738951\pi\) |
0.891095 | − | 0.453818i | \(-0.149938\pi\) | |||||||
\(558\) | −77208.7 | + | 136677.i | −0.247969 | + | 0.438963i | ||||
\(559\) | −371011. | + | 214203.i | −1.18731 | + | 0.685492i | ||||
\(560\) | −88912.2 | − | 218397.i | −0.283521 | − | 0.696420i | ||||
\(561\) | −16513.4 | + | 6010.40i | −0.0524701 | + | 0.0190975i | ||||
\(562\) | −172969. | + | 102041.i | −0.547642 | + | 0.323075i | ||||
\(563\) | −265366. | − | 153209.i | −0.837198 | − | 0.483356i | 0.0191128 | − | 0.999817i | \(-0.493916\pi\) |
−0.856311 | + | 0.516461i | \(0.827249\pi\) | |||||||
\(564\) | −38439.2 | + | 244795.i | −0.120842 | + | 0.769563i | ||||
\(565\) | −30231.0 | + | 25366.8i | −0.0947013 | + | 0.0794638i | ||||
\(566\) | 433221. | + | 356638.i | 1.35231 | + | 1.11326i | ||||
\(567\) | 27604.7 | − | 4867.45i | 0.0858651 | − | 0.0151403i | ||||
\(568\) | 192686. | + | 64046.2i | 0.597246 | + | 0.198516i | ||||
\(569\) | 397666. | 1.22827 | 0.614136 | − | 0.789201i | \(-0.289505\pi\) | ||||
0.614136 | + | 0.789201i | \(0.289505\pi\) | |||||||
\(570\) | −268712. | − | 73566.9i | −0.827062 | − | 0.226429i | ||||
\(571\) | 179062.i | 0.549202i | 0.961558 | + | 0.274601i | \(0.0885458\pi\) | ||||
−0.961558 | + | 0.274601i | \(0.911454\pi\) | |||||||
\(572\) | −182822. | + | 533248.i | −0.558774 | + | 1.62981i | ||||
\(573\) | −16089.3 | − | 91247.1i | −0.0490037 | − | 0.277914i | ||||
\(574\) | 117193. | + | 96475.9i | 0.355694 | + | 0.292816i | ||||
\(575\) | −263240. | − | 313717.i | −0.796189 | − | 0.948861i | ||||
\(576\) | −27228.8 | + | 229293.i | −0.0820697 | + | 0.691107i | ||||
\(577\) | 259264. | − | 449058.i | 0.778736 | − | 1.34881i | −0.153934 | − | 0.988081i | \(-0.549194\pi\) |
0.932670 | − | 0.360730i | \(-0.117472\pi\) | |||||||
\(578\) | 284590. | − | 167890.i | 0.851851 | − | 0.502539i | ||||
\(579\) | 12728.9 | + | 34972.2i | 0.0379693 | + | 0.104320i | ||||
\(580\) | −172472. | + | 66468.3i | −0.512700 | + | 0.197587i | ||||
\(581\) | −103935. | − | 180021.i | −0.307901 | − | 0.533300i | ||||
\(582\) | −63245.1 | + | 111958.i | −0.186716 | + | 0.330530i | ||||
\(583\) | 109616. | + | 19328.3i | 0.322506 | + | 0.0568664i | ||||
\(584\) | 241821. | + | 272237.i | 0.709036 | + | 0.798216i | ||||
\(585\) | −505448. | − | 424122.i | −1.47695 | − | 1.23931i | ||||
\(586\) | −629918. | + | 117180.i | −1.83438 | + | 0.341239i | ||||
\(587\) | −147594. | + | 405510.i | −0.428343 | + | 1.17686i | 0.518475 | + | 0.855092i | \(0.326500\pi\) |
−0.946818 | + | 0.321769i | \(0.895722\pi\) | |||||||
\(588\) | −2742.88 | − | 146048.i | −0.00793326 | − | 0.422417i | ||||
\(589\) | 243685. | − | 61440.3i | 0.702423 | − | 0.177102i | ||||
\(590\) | −821274. | + | 7711.36i | −2.35930 | + | 0.0221527i | ||||
\(591\) | 45397.2 | − | 124728.i | 0.129973 | − | 0.357099i | ||||
\(592\) | −94889.8 | − | 440675.i | −0.270755 | − | 1.25741i | ||||
\(593\) | −148960. | − | 124992.i | −0.423605 | − | 0.355447i | 0.405928 | − | 0.913905i | \(-0.366948\pi\) |
−0.829532 | + | 0.558459i | \(0.811393\pi\) | |||||||
\(594\) | 207419. | + | 242530.i | 0.587861 | + | 0.687374i | ||||
\(595\) | −27447.7 | − | 4839.77i | −0.0775304 | − | 0.0136707i | ||||
\(596\) | −242253. | + | 438406.i | −0.681989 | + | 1.23420i | ||||
\(597\) | −39683.9 | − | 68734.4i | −0.111344 | − | 0.192853i | ||||
\(598\) | 520916. | − | 195156.i | 1.45668 | − | 0.545732i | ||||
\(599\) | 7385.35 | + | 20291.1i | 0.0205834 | + | 0.0565525i | 0.949559 | − | 0.313589i | \(-0.101531\pi\) |
−0.928975 | + | 0.370141i | \(0.879309\pi\) | |||||||
\(600\) | 147596. | + | 239784.i | 0.409989 | + | 0.666065i | ||||
\(601\) | −228867. | + | 396410.i | −0.633629 | + | 1.09748i | 0.353175 | + | 0.935557i | \(0.385102\pi\) |
−0.986804 | + | 0.161920i | \(0.948231\pi\) | |||||||
\(602\) | 133022. | + | 22169.6i | 0.367054 | + | 0.0611738i | ||||
\(603\) | 176105. | + | 209873.i | 0.484324 | + | 0.577195i | ||||
\(604\) | 153358. | − | 189895.i | 0.420371 | − | 0.520524i | ||||
\(605\) | −6378.69 | − | 36175.3i | −0.0174269 | − | 0.0988330i | ||||
\(606\) | 23387.4 | + | 8264.47i | 0.0636849 | + | 0.0225045i | ||||
\(607\) | 298537.i | 0.810253i | 0.914261 | + | 0.405126i | \(0.132772\pi\) | ||||
−0.914261 | + | 0.405126i | \(0.867228\pi\) | |||||||
\(608\) | 295844. | − | 221648.i | 0.800304 | − | 0.599594i | ||||
\(609\) | 34935.2 | 0.0941951 | ||||||||
\(610\) | −234783. | + | 664405.i | −0.630967 | + | 1.78555i | ||||
\(611\) | 925251. | − | 163147.i | 2.47843 | − | 0.437014i | ||||
\(612\) | 21232.7 | + | 17147.4i | 0.0566895 | + | 0.0457820i | ||||
\(613\) | 142307. | − | 119410.i | 0.378709 | − | 0.317775i | −0.433486 | − | 0.901160i | \(-0.642717\pi\) |
0.812196 | + | 0.583385i | \(0.198272\pi\) | |||||||
\(614\) | 21953.5 | − | 131725.i | 0.0582326 | − | 0.349406i | ||||
\(615\) | −267637. | − | 154520.i | −0.707612 | − | 0.408540i | ||||
\(616\) | 151117. | − | 93018.3i | 0.398247 | − | 0.245136i | ||||
\(617\) | −375048. | + | 136506.i | −0.985181 | + | 0.358577i | −0.783852 | − | 0.620947i | \(-0.786748\pi\) |
−0.201329 | + | 0.979524i | \(0.564526\pi\) | |||||||
\(618\) | 112214. | + | 299524.i | 0.293811 | + | 0.784250i | ||||
\(619\) | −547254. | + | 315957.i | −1.42826 | + | 0.824607i | −0.996984 | − | 0.0776117i | \(-0.975271\pi\) |
−0.431278 | + | 0.902219i | \(0.641937\pi\) | |||||||
\(620\) | −379029. | − | 209443.i | −0.986028 | − | 0.544857i | ||||
\(621\) | 54684.4 | − | 310131.i | 0.141801 | − | 0.804195i | ||||
\(622\) | −99165.0 | + | 84808.6i | −0.256317 | + | 0.219209i | ||||
\(623\) | −41340.2 | + | 49267.4i | −0.106512 | + | 0.126936i | ||||
\(624\) | −373892. | + | 80509.4i | −0.960233 | + | 0.206765i | ||||
\(625\) | 149185. | + | 54299.0i | 0.381915 | + | 0.139006i | ||||
\(626\) | −6420.48 | − | 683793.i | −0.0163840 | − | 1.74492i | ||||
\(627\) | 21365.6 | − | 208567.i | 0.0543475 | − | 0.530531i | ||||
\(628\) | 18835.6 | − | 353.746i | 0.0477596 | − | 0.000896958i | ||||
\(629\) | −50067.1 | − | 18222.9i | −0.126547 | − | 0.0460593i | ||||
\(630\) | 37985.9 | + | 204198.i | 0.0957064 | + | 0.514483i | ||||
\(631\) | −245651. | + | 292756.i | −0.616965 | + | 0.735270i | −0.980545 | − | 0.196292i | \(-0.937110\pi\) |
0.363580 | + | 0.931563i | \(0.381554\pi\) | |||||||
\(632\) | 569608. | − | 505969.i | 1.42607 | − | 1.26675i | ||||
\(633\) | −34449.0 | + | 195370.i | −0.0859743 | + | 0.487584i | ||||
\(634\) | 310054. | + | 175149.i | 0.771362 | + | 0.435741i | ||||
\(635\) | −328602. | + | 189718.i | −0.814934 | + | 0.470503i | ||||
\(636\) | 27156.5 | + | 70465.9i | 0.0671367 | + | 0.174207i | ||||
\(637\) | −520444. | + | 189426.i | −1.28261 | + | 0.466833i | ||||
\(638\) | −70676.6 | − | 119804.i | −0.173634 | − | 0.294326i | ||||
\(639\) | −154891. | − | 89426.6i | −0.379337 | − | 0.219010i | ||||
\(640\) | −633219. | − | 69172.7i | −1.54594 | − | 0.168879i | ||||
\(641\) | −330465. | + | 277293.i | −0.804283 | + | 0.674874i | −0.949236 | − | 0.314565i | \(-0.898141\pi\) |
0.144953 | + | 0.989439i | \(0.453697\pi\) | |||||||
\(642\) | 4484.04 | − | 5446.92i | 0.0108793 | − | 0.0132154i | ||||
\(643\) | 638465. | − | 112579.i | 1.54424 | − | 0.272291i | 0.664333 | − | 0.747437i | \(-0.268716\pi\) |
0.879907 | + | 0.475145i | \(0.157605\pi\) | |||||||
\(644\) | −165643. | − | 56789.9i | −0.399393 | − | 0.136930i | ||||
\(645\) | −274555. | −0.659949 | ||||||||
\(646\) | −3571.79 | − | 43546.9i | −0.00855895 | − | 0.104350i | ||||
\(647\) | 157148.i | 0.375405i | 0.982226 | + | 0.187703i | \(0.0601041\pi\) | ||||
−0.982226 | + | 0.187703i | \(0.939896\pi\) | |||||||
\(648\) | 23883.7 | − | 71855.1i | 0.0568788 | − | 0.171123i | ||||
\(649\) | −107327. | − | 608679.i | −0.254811 | − | 1.44510i | ||||
\(650\) | 678518. | − | 824220.i | 1.60596 | − | 1.95082i | ||||
\(651\) | 52611.0 | + | 62699.3i | 0.124141 | + | 0.147945i | ||||
\(652\) | 110436. | + | 17341.3i | 0.259785 | + | 0.0407930i | ||||
\(653\) | −264861. | + | 458753.i | −0.621144 | + | 1.07585i | 0.368129 | + | 0.929775i | \(0.379998\pi\) |
−0.989273 | + | 0.146078i | \(0.953335\pi\) | |||||||
\(654\) | −58318.3 | − | 98855.0i | −0.136348 | − | 0.231123i | ||||
\(655\) | 4379.29 | + | 12032.0i | 0.0102075 | + | 0.0280450i | ||||
\(656\) | 379786. | − | 154615.i | 0.882533 | − | 0.359290i | ||||
\(657\) | −160368. | − | 277765.i | −0.371523 | − | 0.643497i | ||||
\(658\) | −257504. | − | 145464.i | −0.594747 | − | 0.335971i | ||||
\(659\) | 334544. | + | 58989.1i | 0.770339 | + | 0.135832i | 0.544986 | − | 0.838445i | \(-0.316535\pi\) |
0.225354 | + | 0.974277i | \(0.427646\pi\) | |||||||
\(660\) | −272342. | + | 237377.i | −0.625210 | + | 0.544943i | ||||
\(661\) | 221144. | + | 185562.i | 0.506142 | + | 0.424704i | 0.859769 | − | 0.510683i | \(-0.170607\pi\) |
−0.353627 | + | 0.935387i | \(0.615052\pi\) | |||||||
\(662\) | 43801.8 | + | 235462.i | 0.0999483 | + | 0.537286i | ||||
\(663\) | −15461.3 | + | 42479.5i | −0.0351737 | + | 0.0966390i | ||||
\(664\) | −561310. | + | 15815.0i | −1.27311 | + | 0.0358701i | ||||
\(665\) | 194739. | − | 269527.i | 0.440363 | − | 0.609479i | ||||
\(666\) | 3728.00 | + | 397039.i | 0.00840479 | + | 0.895126i | ||||
\(667\) | −46945.8 | + | 128983.i | −0.105523 | + | 0.289921i | ||||
\(668\) | −613181. | + | 120034.i | −1.37416 | + | 0.268999i | ||||
\(669\) | −195764. | − | 164266.i | −0.437403 | − | 0.367025i | ||||
\(670\) | −574383. | + | 491228.i | −1.27953 | + | 1.09429i | ||||
\(671\) | −522235. | − | 92084.1i | −1.15990 | − | 0.204522i | ||||
\(672\) | 106974. | + | 55237.5i | 0.236886 | + | 0.122320i | ||||
\(673\) | −195473. | − | 338569.i | −0.431575 | − | 0.747511i | 0.565434 | − | 0.824794i | \(-0.308709\pi\) |
−0.997009 | + | 0.0772831i | \(0.975375\pi\) | |||||||
\(674\) | 23505.4 | + | 62741.3i | 0.0517426 | + | 0.138113i | ||||
\(675\) | −206708. | − | 567925.i | −0.453680 | − | 1.24647i | ||||
\(676\) | 512634. | + | 850612.i | 1.12180 | + | 1.86139i | ||||
\(677\) | 165503. | − | 286660.i | 0.361101 | − | 0.625446i | −0.627041 | − | 0.778986i | \(-0.715734\pi\) |
0.988142 | + | 0.153540i | \(0.0490675\pi\) | |||||||
\(678\) | 3312.38 | − | 19874.9i | 0.00720579 | − | 0.0432360i | ||||
\(679\) | −98650.1 | − | 117567.i | −0.213972 | − | 0.255002i | ||||
\(680\) | −46751.8 | + | 59015.4i | −0.101107 | + | 0.127629i | ||||
\(681\) | −51868.2 | − | 294159.i | −0.111843 | − | 0.634291i | ||||
\(682\) | 108579. | − | 307265.i | 0.233441 | − | 0.660609i | ||||
\(683\) | 456430.i | 0.978436i | 0.872162 | + | 0.489218i | \(0.162718\pi\) | ||||
−0.872162 | + | 0.489218i | \(0.837282\pi\) | |||||||
\(684\) | −294556. | + | 138777.i | −0.629587 | + | 0.296623i | ||||
\(685\) | 406805. | 0.866971 | ||||||||
\(686\) | 378917. | + | 133899.i | 0.805185 | + | 0.284531i | ||||
\(687\) | −53767.0 | + | 9480.57i | −0.113921 | + | 0.0200873i | ||||
\(688\) | 223521. | − | 287663.i | 0.472218 | − | 0.607724i | ||||
\(689\) | 219341. | − | 184049.i | 0.462041 | − | 0.387699i | ||||
\(690\) | 351651. | + | 58606.7i | 0.738608 | + | 0.123098i | ||||
\(691\) | −603659. | − | 348523.i | −1.26426 | − | 0.729920i | −0.290363 | − | 0.956917i | \(-0.593776\pi\) |
−0.973895 | + | 0.226997i | \(0.927109\pi\) | |||||||
\(692\) | 353841. | + | 587126.i | 0.738917 | + | 1.22608i | ||||
\(693\) | −146877. | + | 53459.0i | −0.305836 | + | 0.111315i | ||||
\(694\) | −628853. | + | 235593.i | −1.30566 | + | 0.489152i | ||||
\(695\) | 1.17910e6 | − | 680756.i | 2.44108 | − | 1.40936i | ||||
\(696\) | 44865.7 | − | 83025.4i | 0.0926180 | − | 0.171393i | ||||
\(697\) | 8416.20 | − | 47730.7i | 0.0173241 | − | 0.0982498i | ||||
\(698\) | 511302. | + | 597855.i | 1.04946 | + | 1.22711i | ||||
\(699\) | 29008.0 | − | 34570.4i | 0.0593696 | − | 0.0707539i | ||||
\(700\) | −329800. | + | 64560.3i | −0.673061 | + | 0.131756i | ||||
\(701\) | 520077. | + | 189293.i | 1.05836 | + | 0.385210i | 0.811811 | − | 0.583921i | \(-0.198482\pi\) |
0.246546 | + | 0.969131i | \(0.420704\pi\) | |||||||
\(702\) | 820899. | − | 7707.84i | 1.66577 | − | 0.0156408i | ||||
\(703\) | 456093. | − | 442773.i | 0.922875 | − | 0.895923i | ||||
\(704\) | −26990.5 | − | 478597.i | −0.0544585 | − | 0.965661i | ||||
\(705\) | 565806. | + | 205936.i | 1.13838 | + | 0.414338i | ||||
\(706\) | 259115. | − | 48201.7i | 0.519855 | − | 0.0967058i | ||||
\(707\) | −19029.8 | + | 22678.8i | −0.0380710 | + | 0.0453713i | ||||
\(708\) | 316113. | − | 275529.i | 0.630631 | − | 0.549668i | ||||
\(709\) | 159422. | − | 904128.i | 0.317144 | − | 1.79861i | −0.242795 | − | 0.970078i | \(-0.578064\pi\) |
0.559939 | − | 0.828534i | \(-0.310825\pi\) | |||||||
\(710\) | 242675. | − | 429590.i | 0.481402 | − | 0.852193i | ||||
\(711\) | −581175. | + | 335542.i | −1.14966 | + | 0.663754i | ||||
\(712\) | 63995.2 | + | 161519.i | 0.126237 | + | 0.318613i | ||||
\(713\) | −302188. | + | 109987.i | −0.594426 | + | 0.216353i | ||||
\(714\) | 12256.3 | − | 7230.48i | 0.0240417 | − | 0.0141831i | ||||
\(715\) | 1.18627e6 | + | 684891.i | 2.32044 | + | 1.33971i | ||||
\(716\) | 276221. | + | 43373.9i | 0.538803 | + | 0.0846062i | ||||
\(717\) | −169468. | + | 142201.i | −0.329648 | + | 0.276607i | ||||
\(718\) | 131429. | + | 108195.i | 0.254942 | + | 0.209874i | ||||
\(719\) | 145095. | − | 25584.2i | 0.280670 | − | 0.0494896i | −0.0315413 | − | 0.999502i | \(-0.510042\pi\) |
0.312211 | + | 0.950013i | \(0.398930\pi\) | |||||||
\(720\) | 534072. | + | 171967.i | 1.03023 | + | 0.331726i | ||||
\(721\) | −381755. | −0.734368 | ||||||||
\(722\) | 486137. | + | 188170.i | 0.932576 | + | 0.360973i | ||||
\(723\) | 484667.i | 0.927185i | ||||||||
\(724\) | −7481.58 | − | 2565.03i | −0.0142730 | − | 0.00489345i | ||||
\(725\) | 45743.3 | + | 259423.i | 0.0870265 | + | 0.493552i | ||||
\(726\) | 14479.7 | + | 11920.1i | 0.0274718 | + | 0.0226154i | ||||
\(727\) | −155640. | − | 185484.i | −0.294478 | − | 0.350945i | 0.598438 | − | 0.801169i | \(-0.295788\pi\) |
−0.892915 | + | 0.450225i | \(0.851344\pi\) | |||||||
\(728\) | 66574.3 | − | 451598.i | 0.125616 | − | 0.852096i | ||||
\(729\) | 103667. | − | 179556.i | 0.195067 | − | 0.337866i | ||||
\(730\) | 762072. | − | 449575.i | 1.43005 | − | 0.843639i | ||||
\(731\) | −14726.9 | − | 40461.9i | −0.0275599 | − | 0.0757202i | ||||
\(732\) | −129380. | − | 335715.i | −0.241459 | − | 0.626540i | ||||
\(733\) | 277165. | + | 480063.i | 0.515857 | + | 0.893491i | 0.999831 | + | 0.0184085i | \(0.00585993\pi\) |
−0.483973 | + | 0.875083i | \(0.660807\pi\) | |||||||
\(734\) | −41240.9 | + | 73005.8i | −0.0765483 | + | 0.135508i | ||||
\(735\) | −349553. | − | 61635.7i | −0.647051 | − | 0.114093i | ||||
\(736\) | −347692. | + | 320726.i | −0.641857 | + | 0.592078i | ||||
\(737\) | −435698. | − | 365594.i | −0.802141 | − | 0.673076i | ||||
\(738\) | −355094. | + | 66056.2i | −0.651975 | + | 0.121283i | ||||
\(739\) | 332561. | − | 913705.i | 0.608952 | − | 1.67308i | −0.123568 | − | 0.992336i | \(-0.539434\pi\) |
0.732520 | − | 0.680746i | \(-0.238344\pi\) | |||||||
\(740\) | −1.09515e6 | + | 20567.7i | −1.99991 | + | 0.0375596i | ||||
\(741\) | −375672. | − | 386973.i | −0.684182 | − | 0.704764i | ||||
\(742\) | −90128.5 | + | 846.262i | −0.163702 | + | 0.00153708i | ||||
\(743\) | 88016.6 | − | 241824.i | 0.159436 | − | 0.438048i | −0.834093 | − | 0.551624i | \(-0.814008\pi\) |
0.993529 | + | 0.113576i | \(0.0362306\pi\) | |||||||
\(744\) | 216574. | − | 44511.0i | 0.391256 | − | 0.0804122i | ||||
\(745\) | 932357. | + | 782341.i | 1.67985 | + | 1.40956i | ||||
\(746\) | −297851. | − | 348271.i | −0.535207 | − | 0.625806i | ||||
\(747\) | 487100. | + | 85888.8i | 0.872925 | + | 0.153920i | ||||
\(748\) | −49591.1 | − | 27402.9i | −0.0886340 | − | 0.0489772i | ||||
\(749\) | 4210.28 | + | 7292.41i | 0.00750493 | + | 0.0129989i | ||||
\(750\) | 189013. | − | 70812.0i | 0.336024 | − | 0.125888i | ||||
\(751\) | −39852.0 | − | 109492.i | −0.0706594 | − | 0.194135i | 0.899336 | − | 0.437258i | \(-0.144050\pi\) |
−0.969995 | + | 0.243123i | \(0.921828\pi\) | |||||||
\(752\) | −676402. | + | 425160.i | −1.19611 | + | 0.751825i | ||||
\(753\) | 147237. | − | 255022.i | 0.259673 | − | 0.449767i | ||||
\(754\) | −352949. | − | 58823.0i | −0.620825 | − | 0.103468i | ||||
\(755\) | −381245. | − | 454350.i | −0.668821 | − | 0.797070i | ||||
\(756\) | −201045. | − | 162362.i | −0.351763 | − | 0.284081i | ||||
\(757\) | 109402. | + | 620449.i | 0.190912 | + | 1.08272i | 0.918121 | + | 0.396299i | \(0.129706\pi\) |
−0.727209 | + | 0.686416i | \(0.759183\pi\) | |||||||
\(758\) | 282100. | + | 99686.5i | 0.490981 | + | 0.173499i | ||||
\(759\) | 268282.i | 0.465702i | ||||||||
\(760\) | −390451. | − | 808950.i | −0.675988 | − | 1.40054i | ||||
\(761\) | −323256. | −0.558183 | −0.279092 | − | 0.960265i | \(-0.590033\pi\) | ||||
−0.279092 | + | 0.960265i | \(0.590033\pi\) | |||||||
\(762\) | 64547.2 | − | 182660.i | 0.111165 | − | 0.314582i | ||||
\(763\) | 134906. | − | 23787.6i | 0.231730 | − | 0.0408603i | ||||
\(764\) | 187690. | − | 232407.i | 0.321555 | − | 0.398165i | ||||
\(765\) | 50802.1 | − | 42628.0i | 0.0868077 | − | 0.0728403i | ||||
\(766\) | 11177.6 | − | 67067.9i | 0.0190499 | − | 0.114303i | ||||
\(767\) | −1.37692e6 | − | 794967.i | −2.34056 | − | 1.35132i | ||||
\(768\) | 268657. | − | 183291.i | 0.455487 | − | 0.310755i | ||||
\(769\) | 222695. | − | 81054.2i | 0.376580 | − | 0.137064i | −0.146794 | − | 0.989167i | \(-0.546895\pi\) |
0.523374 | + | 0.852103i | \(0.324673\pi\) | |||||||
\(770\) | −151273. | − | 403783.i | −0.255141 | − | 0.681030i | ||||
\(771\) | 362406. | − | 209235.i | 0.609659 | − | 0.351987i | ||||
\(772\) | −58034.1 | + | 105024.i | −0.0973753 | + | 0.176220i | ||||
\(773\) | −156520. | + | 887669.i | −0.261946 | + | 1.48557i | 0.515648 | + | 0.856800i | \(0.327551\pi\) |
−0.777594 | + | 0.628767i | \(0.783560\pi\) | |||||||
\(774\) | −243863. | + | 208558.i | −0.407065 | + | 0.348133i | ||||
\(775\) | −396708. | + | 472778.i | −0.660492 | + | 0.787143i | ||||
\(776\) | −406095. | + | 83462.0i | −0.674380 | + | 0.138601i | ||||
\(777\) | 194541. | + | 70807.0i | 0.322232 | + | 0.117283i | ||||
\(778\) | 5724.66 | + | 609687.i | 0.00945781 | + | 1.00727i | ||||
\(779\) | 468699. | + | 338646.i | 0.772359 | + | 0.558047i | ||||
\(780\) | 17450.7 | + | 929182.i | 0.0286829 | + | 1.52725i | ||||
\(781\) | 348908. | + | 126992.i | 0.572017 | + | 0.208197i | ||||
\(782\) | 10225.3 | + | 54967.4i | 0.0167210 | + | 0.0898859i | ||||
\(783\) | −130207. | + | 155174.i | −0.212378 | + | 0.253103i | ||||
\(784\) | 349157. | − | 316062.i | 0.568053 | − | 0.514210i | ||||
\(785\) | 7949.08 | − | 45081.5i | 0.0128996 | − | 0.0731575i | ||||
\(786\) | −5692.03 | − | 3215.42i | −0.00921345 | − | 0.00520466i | ||||
\(787\) | −409399. | + | 236367.i | −0.660993 | + | 0.381625i | −0.792655 | − | 0.609670i | \(-0.791302\pi\) |
0.131662 | + | 0.991295i | \(0.457969\pi\) | |||||||
\(788\) | 399321. | − | 153893.i | 0.643087 | − | 0.247836i | ||||
\(789\) | 346247. | − | 126024.i | 0.556202 | − | 0.202441i | ||||
\(790\) | −940658. | − | 1.59450e6i | −1.50722 | − | 2.55489i | ||||
\(791\) | 20826.6 | + | 12024.2i | 0.0332863 | + | 0.0192178i | ||||
\(792\) | −61579.6 | + | 417717.i | −0.0981718 | + | 0.665935i | ||||
\(793\) | −1.04499e6 | + | 876848.i | −1.66174 | + | 1.39437i | ||||
\(794\) | 623384. | − | 757247.i | 0.988814 | − | 1.20115i | ||||
\(795\) | 180713. | − | 31864.6i | 0.285927 | − | 0.0504167i | ||||
\(796\) | 82989.9 | − | 242062.i | 0.130978 | − | 0.382032i | ||||
\(797\) | −669682. | −1.05427 | −0.527135 | − | 0.849782i | \(-0.676734\pi\) | ||||
−0.527135 | + | 0.849782i | \(0.676734\pi\) | |||||||
\(798\) | 13878.5 | + | 169206.i | 0.0217940 | + | 0.265711i | ||||
\(799\) | 94430.5i | 0.147917i | ||||||||
\(800\) | −270116. | + | 866700.i | −0.422056 | + | 1.35422i | ||||
\(801\) | −26573.5 | − | 150706.i | −0.0414175 | − | 0.234890i | ||||
\(802\) | 46026.1 | − | 55909.6i | 0.0715576 | − | 0.0869236i | ||||
\(803\) | 427999. | + | 510069.i | 0.663761 | + | 0.791039i | ||||
\(804\) | 59860.5 | − | 381213.i | 0.0926038 | − | 0.589734i | ||||
\(805\) | −212747. | + | 368489.i | −0.328301 | + | 0.568634i | ||||
\(806\) | −425955. | − | 722034.i | −0.655683 | − | 1.11144i | ||||
\(807\) | −200833. | − | 551785.i | −0.308382 | − | 0.847272i | ||||
\(808\) | 29458.3 | + | 74350.6i | 0.0451217 | + | 0.113884i | ||||
\(809\) | 103706. | + | 179625.i | 0.158456 | + | 0.274453i | 0.934312 | − | 0.356456i | \(-0.116015\pi\) |
−0.775856 | + | 0.630910i | \(0.782682\pi\) | |||||||
\(810\) | −160200. | − | 90496.6i | −0.244170 | − | 0.137931i | ||||
\(811\) | 167011. | + | 29448.5i | 0.253924 | + | 0.0447736i | 0.299161 | − | 0.954203i | \(-0.403293\pi\) |
−0.0452372 | + | 0.998976i | \(0.514404\pi\) | |||||||
\(812\) | 74008.5 | + | 84909.5i | 0.112246 | + | 0.128779i | ||||
\(813\) | −92003.5 | − | 77200.1i | −0.139195 | − | 0.116798i | ||||
\(814\) | −150752. | − | 810388.i | −0.227517 | − | 1.22305i | ||||
\(815\) | 92905.1 | − | 255255.i | 0.139870 | − | 0.384289i | ||||
\(816\) | −1443.38 | − | 38413.6i | −0.00216770 | − | 0.0576906i | ||||
\(817\) | 511040. | + | 52350.9i | 0.765615 | + | 0.0784296i | ||||
\(818\) | 366.048 | + | 38984.8i | 0.000547056 | + | 0.0582624i | ||||
\(819\) | −137519. | + | 377831.i | −0.205020 | + | 0.563287i | ||||
\(820\) | −191416. | − | 977831.i | −0.284676 | − | 1.45424i | ||||
\(821\) | −322231. | − | 270384.i | −0.478058 | − | 0.401138i | 0.371666 | − | 0.928367i | \(-0.378787\pi\) |
−0.849724 | + | 0.527228i | \(0.823231\pi\) | |||||||
\(822\) | −157849. | + | 134997.i | −0.233613 | + | 0.199792i | ||||
\(823\) | −420075. | − | 74070.5i | −0.620193 | − | 0.109357i | −0.145282 | − | 0.989390i | \(-0.546409\pi\) |
−0.474912 | + | 0.880034i | \(0.657520\pi\) | |||||||
\(824\) | −490270. | + | 907261.i | −0.722072 | + | 1.33622i | ||||
\(825\) | 257438. | + | 445896.i | 0.378238 | + | 0.655128i | ||||
\(826\) | 175586. | + | 468679.i | 0.257353 | + | 0.686935i | ||||
\(827\) | 156431. | + | 429790.i | 0.228724 | + | 0.628413i | 0.999967 | − | 0.00812714i | \(-0.00258698\pi\) |
−0.771243 | + | 0.636541i | \(0.780365\pi\) | |||||||
\(828\) | 356859. | − | 215067.i | 0.520518 | − | 0.313698i | ||||
\(829\) | −339064. | + | 587276.i | −0.493370 | + | 0.854542i | −0.999971 | − | 0.00763860i | \(-0.997569\pi\) |
0.506601 | + | 0.862181i | \(0.330902\pi\) | |||||||
\(830\) | −224311. | + | 1.34591e6i | −0.325608 | + | 1.95371i | ||||
\(831\) | −174258. | − | 207673.i | −0.252343 | − | 0.300731i | ||||
\(832\) | −987748. | − | 738183.i | −1.42692 | − | 1.06639i | ||||
\(833\) | −9666.36 | − | 54820.7i | −0.0139307 | − | 0.0790050i | ||||
\(834\) | −231611. | + | 655429.i | −0.332987 | + | 0.942310i | ||||
\(835\) | 1.51825e6i | 2.17757i | ||||||||
\(836\) | 552181. | − | 389910.i | 0.790077 | − | 0.557895i | ||||
\(837\) | −474583. | −0.677425 | ||||||||
\(838\) | 351825. | + | 124326.i | 0.501001 | + | 0.177040i | ||||
\(839\) | 766554. | − | 135164.i | 1.08898 | − | 0.192016i | 0.399796 | − | 0.916604i | \(-0.369081\pi\) |
0.689182 | + | 0.724588i | \(0.257970\pi\) | |||||||
\(840\) | 181658. | − | 229310.i | 0.257453 | − | 0.324986i | ||||
\(841\) | −474174. | + | 397879.i | −0.670417 | + | 0.562547i | ||||
\(842\) | −203472. | − | 33910.9i | −0.286999 | − | 0.0478316i | ||||
\(843\) | −215772. | − | 124576.i | −0.303627 | − | 0.175299i | ||||
\(844\) | −547822. | + | 330154.i | −0.769050 | + | 0.463480i | ||||
\(845\) | 2.26771e6 | − | 825379.i | 3.17595 | − | 1.15595i | ||||
\(846\) | 658988. | − | 246883.i | 0.920739 | − | 0.344946i | ||||
\(847\) | −19385.6 | + | 11192.3i | −0.0270217 | + | 0.0156010i | ||||
\(848\) | −113737. | + | 215282.i | −0.158165 | + | 0.299376i | ||||
\(849\) | −120888. | + | 685588.i | −0.167713 | + | 0.951148i | ||||
\(850\) | 69740.6 | + | 81546.3i | 0.0965268 | + | 0.112867i | ||||
\(851\) | −522846. | + | 623104.i | −0.721963 | + | 0.860402i | ||||
\(852\) | 48394.9 | + | 247221.i | 0.0666685 | + | 0.340570i | ||||
\(853\) | −293031. | − | 106655.i | −0.402732 | − | 0.146582i | 0.132709 | − | 0.991155i | \(-0.457632\pi\) |
−0.535441 | + | 0.844573i | \(0.679855\pi\) | |||||||
\(854\) | 429392. | − | 4031.78i | 0.588760 | − | 0.00552816i | ||||
\(855\) | 193432. | + | 767194.i | 0.264604 | + | 1.04948i | ||||
\(856\) | 22737.9 | − | 640.643i | 0.0310315 | − | 0.000874316i | ||||
\(857\) | −106799. | − | 38871.7i | −0.145414 | − | 0.0529263i | 0.268288 | − | 0.963339i | \(-0.413542\pi\) |
−0.413702 | + | 0.910412i | \(0.635764\pi\) | |||||||
\(858\) | −687575. | + | 127906.i | −0.933997 | + | 0.173746i | ||||
\(859\) | −269760. | + | 321488.i | −0.365588 | + | 0.435691i | −0.917210 | − | 0.398403i | \(-0.869564\pi\) |
0.551622 | + | 0.834094i | \(0.314009\pi\) | |||||||
\(860\) | −581632. | − | 667303.i | −0.786414 | − | 0.902248i | ||||
\(861\) | −32702.0 | + | 185462.i | −0.0441131 | + | 0.250178i | ||||
\(862\) | 110146. | − | 194983.i | 0.148236 | − | 0.262411i | ||||
\(863\) | 641499. | − | 370370.i | 0.861340 | − | 0.497295i | −0.00312075 | − | 0.999995i | \(-0.500993\pi\) |
0.864461 | + | 0.502700i | \(0.167660\pi\) | |||||||
\(864\) | −644056. | + | 269280.i | −0.862772 | + | 0.360725i | ||||
\(865\) | 1.56527e6 | − | 569710.i | 2.09197 | − | 0.761415i | ||||
\(866\) | 440014. | − | 259581.i | 0.586720 | − | 0.346128i | ||||
\(867\) | 355013. | + | 204967.i | 0.472288 | + | 0.272675i | ||||
\(868\) | −40936.1 | + | 260696.i | −0.0543334 | + | 0.346015i | ||||
\(869\) | 1.06723e6 | − | 895514.i | 1.41325 | − | 1.18586i | ||||
\(870\) | −177043. | − | 145746.i | −0.233905 | − | 0.192556i | ||||
\(871\) | −1.44087e6 | + | 254065.i | −1.89928 | + | 0.334894i | ||||
\(872\) | 116721. | − | 351162.i | 0.153503 | − | 0.461821i | ||||
\(873\) | 365177. | 0.479153 | ||||||||
\(874\) | −643367. | − | 176138.i | −0.842240 | − | 0.230585i | ||||
\(875\) | 240905.i | 0.314651i | ||||||||
\(876\) | −146510. | + | 427335.i | −0.190924 | + | 0.556879i | ||||
\(877\) | 113770. | + | 645219.i | 0.147920 | + | 0.838896i | 0.964976 | + | 0.262338i | \(0.0844934\pi\) |
−0.817056 | + | 0.576558i | \(0.804395\pi\) | |||||||
\(878\) | 808138. | + | 665279.i | 1.04833 | + | 0.863008i | ||||
\(879\) | −510957. | − | 608935.i | −0.661312 | − | 0.788121i | ||||
\(880\) | −1.15388e6 | − | 159050.i | −1.49004 | − | 0.205385i | ||||
\(881\) | 13435.8 | − | 23271.5i | 0.0173106 | − | 0.0299828i | −0.857240 | − | 0.514917i | \(-0.827823\pi\) |
0.874551 | + | 0.484934i | \(0.161156\pi\) | |||||||
\(882\) | −357296. | + | 210783.i | −0.459295 | + | 0.270955i | ||||
\(883\) | −278391. | − | 764872.i | −0.357053 | − | 0.980996i | −0.980046 | − | 0.198769i | \(-0.936306\pi\) |
0.622993 | − | 0.782227i | \(-0.285916\pi\) | |||||||
\(884\) | −136000. | + | 52412.4i | −0.174034 | + | 0.0670701i | ||||
\(885\) | −509475. | − | 882436.i | −0.650483 | − | 1.12667i | ||||
\(886\) | −330986. | + | 585922.i | −0.421641 | + | 0.746401i | ||||
\(887\) | −623376. | − | 109918.i | −0.792324 | − | 0.139708i | −0.237183 | − | 0.971465i | \(-0.576224\pi\) |
−0.555140 | + | 0.831757i | \(0.687335\pi\) | |||||||
\(888\) | 418116. | − | 371402.i | 0.530238 | − | 0.470998i | ||||
\(889\) | 177126. | + | 148626.i | 0.224119 | + | 0.188058i | ||||
\(890\) | 415040. | − | 77207.5i | 0.523974 | − | 0.0974719i | ||||
\(891\) | 47357.0 | − | 130112.i | 0.0596525 | − | 0.163894i | ||||
\(892\) | −15471.4 | − | 823792.i | −0.0194446 | − | 1.03535i | ||||
\(893\) | −1.01389e6 | − | 491202.i | −1.27141 | − | 0.615967i | ||||
\(894\) | −621391. | + | 5834.56i | −0.777482 | + | 0.00730017i | ||||
\(895\) | 232374. | − | 638441.i | 0.290095 | − | 0.797030i | ||||
\(896\) | 92365.3 | + | 377017.i | 0.115052 | + | 0.469618i | ||||
\(897\) | 528674. | + | 443610.i | 0.657056 | + | 0.551336i | ||||
\(898\) | 766802. | + | 896607.i | 0.950891 | + | 1.11186i | ||||
\(899\) | 203712. | + | 35919.9i | 0.252056 | + | 0.0444442i | ||||
\(900\) | 386741. | − | 699886.i | 0.477459 | − | 0.864057i | ||||
\(901\) | 14389.3 | + | 24923.0i | 0.0177252 | + | 0.0307009i | ||||
\(902\) | 702165. | − | 263059.i | 0.863030 | − | 0.323326i | ||||
\(903\) | 57222.9 | + | 157219.i | 0.0701769 | + | 0.192810i | ||||
\(904\) | 55322.9 | − | 34053.3i | 0.0676967 | − | 0.0416699i | ||||
\(905\) | −9609.16 | + | 16643.6i | −0.0117324 | + | 0.0203212i | ||||
\(906\) | 298705. | + | 49782.7i | 0.363904 | + | 0.0606488i | ||||
\(907\) | 685167. | + | 816550.i | 0.832879 | + | 0.992586i | 0.999978 | + | 0.00664624i | \(0.00211558\pi\) |
−0.167099 | + | 0.985940i | \(0.553440\pi\) | |||||||
\(908\) | 605070. | − | 749227.i | 0.733895 | − | 0.908745i | ||||
\(909\) | −12232.3 | − | 69373.0i | −0.0148041 | − | 0.0839581i | ||||
\(910\) | −1.04582e6 | − | 369566.i | −1.26292 | − | 0.446282i | ||||
\(911\) | − | 1.19354e6i | − | 1.43813i | −0.694941 | − | 0.719067i | \(-0.744569\pi\) | ||
0.694941 | − | 0.719067i | \(-0.255431\pi\) | |||||||
\(912\) | 419950. | + | 184320.i | 0.504903 | + | 0.221607i | ||||
\(913\) | −1.02682e6 | −1.23184 | ||||||||
\(914\) | −413170. | + | 1.16922e6i | −0.494580 | + | 1.39960i | ||||
\(915\) | −860957. | + | 151810.i | −1.02835 | + | 0.181325i | ||||
\(916\) | −136945. | − | 110596.i | −0.163213 | − | 0.131810i | ||||
\(917\) | 5977.16 | − | 5015.43i | 0.00710814 | − | 0.00596444i | ||||
\(918\) | −13564.4 | + | 81388.7i | −0.0160959 | + | 0.0965781i | ||||
\(919\) | 940638. | + | 543078.i | 1.11376 | + | 0.643030i | 0.939801 | − | 0.341723i | \(-0.111011\pi\) |
0.173959 | + | 0.984753i | \(0.444344\pi\) | |||||||
\(920\) | 602513. | + | 978839.i | 0.711854 | + | 1.15647i | ||||
\(921\) | 155686. | − | 56664.9i | 0.183539 | − | 0.0668028i | ||||
\(922\) | −345582. | − | 922438.i | −0.406527 | − | 1.08511i | ||||
\(923\) | 827176. | − | 477570.i | 0.970944 | − | 0.560575i | ||||
\(924\) | 192691. | + | 106477.i | 0.225693 | + | 0.124713i | ||||
\(925\) | −271075. | + | 1.53734e6i | −0.316815 | + | 1.79675i | ||||
\(926\) | 1.13650e6 | − | 971970.i | 1.32541 | − | 1.13352i | ||||
\(927\) | 583882. | − | 695843.i | 0.679462 | − | 0.809751i | ||||
\(928\) | 296838. | − | 66839.9i | 0.344686 | − | 0.0776139i | ||||
\(929\) | −321291. | − | 116940.i | −0.372277 | − | 0.135498i | 0.149104 | − | 0.988821i | \(-0.452361\pi\) |
−0.521382 | + | 0.853324i | \(0.674583\pi\) | |||||||
\(930\) | −5044.34 | − | 537231.i | −0.00583228 | − | 0.621149i | ||||
\(931\) | 638884. | + | 181376.i | 0.737094 | + | 0.209257i | ||||
\(932\) | 145475. | − | 2732.12i | 0.167478 | − | 0.00314534i | ||||
\(933\) | −152121. | − | 55367.7i | −0.174754 | − | 0.0636053i | ||||
\(934\) | 91013.8 | + | 489257.i | 0.104331 | + | 0.560845i | ||||
\(935\) | −88495.9 | + | 105465.i | −0.101228 | + | 0.120639i | ||||
\(936\) | 721326. | + | 812052.i | 0.823341 | + | 0.926899i | ||||
\(937\) | −22384.0 | + | 126946.i | −0.0254952 | + | 0.144590i | −0.994898 | − | 0.100884i | \(-0.967833\pi\) |
0.969403 | + | 0.245475i | \(0.0789439\pi\) | |||||||
\(938\) | 401005. | + | 226527.i | 0.455768 | + | 0.257463i | ||||
\(939\) | 734717. | − | 424189.i | 0.833276 | − | 0.481092i | ||||
\(940\) | 698106. | + | 1.81145e6i | 0.790070 | + | 2.05008i | ||||
\(941\) | −1.14257e6 | + | 415862.i | −1.29034 | + | 0.469645i | −0.893839 | − | 0.448389i | \(-0.851998\pi\) |
−0.396501 | + | 0.918034i | \(0.629776\pi\) | |||||||
\(942\) | 11875.7 | + | 20130.4i | 0.0133831 | + | 0.0226857i | ||||
\(943\) | −640791. | − | 369961.i | −0.720598 | − | 0.416037i | ||||
\(944\) | 1.33934e6 | + | 184613.i | 1.50296 | + | 0.207166i | ||||
\(945\) | −481027. | + | 403629.i | −0.538648 | + | 0.451980i | ||||
\(946\) | 423385. | − | 514301.i | 0.473100 | − | 0.574692i | ||||
\(947\) | −1.16213e6 | + | 204915.i | −1.29585 | + | 0.228494i | −0.778698 | − | 0.627399i | \(-0.784120\pi\) |
−0.517154 | + | 0.855892i | \(0.673009\pi\) | |||||||
\(948\) | 894126. | + | 306547.i | 0.994906 | + | 0.341099i | ||||
\(949\) | 1.71284e6 | 1.90189 | ||||||||
\(950\) | −1.23832e6 | + | 324614.i | −1.37210 | + | 0.359683i | ||||
\(951\) | 441797.i | 0.488497i | ||||||||
\(952\) | 43538.1 | + | 14471.5i | 0.0480391 | + | 0.0159676i | ||||
\(953\) | −114402. | − | 648807.i | −0.125965 | − | 0.714380i | −0.980730 | − | 0.195366i | \(-0.937410\pi\) |
0.854766 | − | 0.519014i | \(-0.173701\pi\) | |||||||
\(954\) | 136306. | − | 165576.i | 0.149768 | − | 0.181929i | ||||
\(955\) | −466594. | − | 556065.i | −0.511602 | − | 0.609704i | ||||
\(956\) | −704627. | − | 110645.i | −0.770981 | − | 0.121064i | ||||
\(957\) | 86284.8 | − | 149450.i | 0.0942130 | − | 0.163182i | ||||
\(958\) | −541503. | − | 917899.i | −0.590025 | − | 1.00015i | ||||
\(959\) | −84786.3 | − | 232949.i | −0.0921910 | − | 0.253293i | ||||
\(960\) | −311672. | − | 726214.i | −0.338186 | − | 0.787992i | ||||
\(961\) | −219446. | − | 380091.i | −0.237618 | − | 0.411567i | ||||
\(962\) | −1.84621e6 | − | 1.04292e6i | −1.99495 | − | 1.12694i | ||||
\(963\) | −19731.7 | − | 3479.24i | −0.0212771 | − | 0.00375173i | ||||
\(964\) | −1.17798e6 | + | 1.02674e6i | −1.26760 | + | 1.10486i | ||||
\(965\) | 223355. | + | 187417.i | 0.239851 | + | 0.201259i | ||||
\(966\) | −39731.3 | − | 213581.i | −0.0425773 | − | 0.228880i | ||||
\(967\) | −87004.8 | + | 239044.i | −0.0930444 | + | 0.255637i | −0.977481 | − | 0.211023i | \(-0.932321\pi\) |
0.884437 | + | 0.466660i | \(0.154543\pi\) | |||||||
\(968\) | 1703.04 | + | 60444.8i | 0.00181750 | + | 0.0645072i | ||||
\(969\) | 44860.0 | − | 30430.8i | 0.0477762 | − | 0.0324090i | ||||
\(970\) | 9458.56 | + | 1.00735e6i | 0.0100527 | + | 1.07063i | ||||
\(971\) | 344699. | − | 947053.i | 0.365596 | − | 1.00447i | −0.611421 | − | 0.791306i | \(-0.709402\pi\) |
0.977017 | − | 0.213162i | \(-0.0683761\pi\) | |||||||
\(972\) | 959246. | − | 187778.i | 1.01531 | − | 0.198752i | ||||
\(973\) | −635571. | − | 533307.i | −0.671334 | − | 0.563316i | ||||
\(974\) | −1.05587e6 | + | 903011.i | −1.11300 | + | 0.951865i | ||||
\(975\) | 1.30436e6 | + | 229994.i | 1.37211 | + | 0.241939i | ||||
\(976\) | 541867. | − | 1.02565e6i | 0.568843 | − | 1.07671i | ||||
\(977\) | −501547. | − | 868705.i | −0.525439 | − | 0.910087i | −0.999561 | − | 0.0296279i | \(-0.990568\pi\) |
0.474122 | − | 0.880459i | \(-0.342766\pi\) | |||||||
\(978\) | 48656.2 | + | 129874.i | 0.0508698 | + | 0.135783i | ||||
\(979\) | 108657. | + | 298533.i | 0.113369 | + | 0.311478i | ||||
\(980\) | −590707. | − | 980157.i | −0.615063 | − | 1.02057i | ||||
\(981\) | −162976. | + | 282283.i | −0.169350 | + | 0.293323i | ||||
\(982\) | −76375.6 | + | 458268.i | −0.0792012 | + | 0.475222i | ||||
\(983\) | 326007. | + | 388520.i | 0.337380 | + | 0.402074i | 0.907884 | − | 0.419221i | \(-0.137697\pi\) |
−0.570504 | + | 0.821295i | \(0.693252\pi\) | |||||||
\(984\) | 398763. | + | 315898.i | 0.411836 | + | 0.326255i | ||||
\(985\) | −180573. | − | 1.02408e6i | −0.186114 | − | 1.05551i | ||||
\(986\) | 11982.5 | − | 33908.9i | 0.0123252 | − | 0.0348787i | ||||
\(987\) | − | 366919.i | − | 0.376648i | ||||||
\(988\) | 144690. | − | 1.73285e6i | 0.148226 | − | 1.77520i | ||||
\(989\) | −657356. | −0.672060 | ||||||||
\(990\) | 967362. | + | 341840.i | 0.987003 | + | 0.348780i | ||||
\(991\) | −62751.9 | + | 11064.8i | −0.0638968 | + | 0.0112667i | −0.205505 | − | 0.978656i | \(-0.565884\pi\) |
0.141608 | + | 0.989923i | \(0.454773\pi\) | |||||||
\(992\) | 566986. | + | 432087.i | 0.576167 | + | 0.439084i | ||||
\(993\) | −227619. | + | 190995.i | −0.230839 | + | 0.193697i | ||||
\(994\) | −296575. | − | 49427.6i | −0.300166 | − | 0.0500261i | ||||
\(995\) | −538491. | − | 310898.i | −0.543917 | − | 0.314030i | ||||
\(996\) | −359597. | − | 596678.i | −0.362492 | − | 0.601480i | ||||
\(997\) | −522587. | + | 190206.i | −0.525736 | + | 0.191352i | −0.591234 | − | 0.806500i | \(-0.701359\pi\) |
0.0654973 | + | 0.997853i | \(0.479137\pi\) | |||||||
\(998\) | 1.06837e6 | − | 400253.i | 1.07265 | − | 0.401859i | ||||
\(999\) | −1.03958e6 | + | 600202.i | −1.04166 | + | 0.601405i |
(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 | 76.5.l.a.23.16 | ✓ | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.24 | yes | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.24 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.16 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.16 | ✓ | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.23.24 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.16 | yes | 228 | 76.43 | odd | 18 | inner | |
76.5.l.a.43.24 | yes | 228 | 19.5 | even | 9 | inner |