Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,5,Mod(11,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.11");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.h (of order \(22\), degree \(10\), 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: | \(11.8875457546\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 115.11 |
Dual form | 115.5.h.a.21.18 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06653 | − | 0.685415i | 0.266632 | − | 0.171354i | −0.400493 | − | 0.916300i | \(-0.631161\pi\) |
0.667125 | + | 0.744946i | \(0.267525\pi\) | |||||||
\(3\) | −1.69116 | + | 11.7623i | −0.187907 | + | 1.30692i | 0.649508 | + | 0.760355i | \(0.274975\pi\) |
−0.837415 | + | 0.546567i | \(0.815934\pi\) | |||||||
\(4\) | −5.97895 | + | 13.0921i | −0.373685 | + | 0.818255i | ||||
\(5\) | 3.14987 | + | 10.7275i | 0.125995 | + | 0.429098i | ||||
\(6\) | 6.25839 | + | 13.7040i | 0.173844 | + | 0.380666i | ||||
\(7\) | −44.3476 | + | 38.4274i | −0.905053 | + | 0.784233i | −0.977014 | − | 0.213174i | \(-0.931620\pi\) |
0.0719608 | + | 0.997407i | \(0.477074\pi\) | |||||||
\(8\) | 5.48359 | + | 38.1392i | 0.0856811 | + | 0.595925i | ||||
\(9\) | −57.7727 | − | 16.9636i | −0.713243 | − | 0.209427i | ||||
\(10\) | 10.7122 | + | 9.28216i | 0.107122 | + | 0.0928216i | ||||
\(11\) | 95.4152 | − | 148.469i | 0.788555 | − | 1.22702i | −0.181323 | − | 0.983424i | \(-0.558038\pi\) |
0.969878 | − | 0.243592i | \(-0.0783258\pi\) | |||||||
\(12\) | −143.882 | − | 92.4671i | −0.999178 | − | 0.642133i | ||||
\(13\) | 1.70286 | − | 1.96521i | 0.0100761 | − | 0.0116284i | −0.750689 | − | 0.660656i | \(-0.770278\pi\) |
0.760765 | + | 0.649027i | \(0.224824\pi\) | |||||||
\(14\) | −20.9592 | + | 71.3804i | −0.106935 | + | 0.364186i | ||||
\(15\) | −131.506 | + | 18.9078i | −0.584473 | + | 0.0840346i | ||||
\(16\) | −118.814 | − | 137.119i | −0.464118 | − | 0.535620i | ||||
\(17\) | −116.117 | + | 53.0289i | −0.401789 | + | 0.183491i | −0.606052 | − | 0.795425i | \(-0.707248\pi\) |
0.204263 | + | 0.978916i | \(0.434520\pi\) | |||||||
\(18\) | −73.2433 | + | 21.5062i | −0.226059 | + | 0.0663770i | ||||
\(19\) | 470.038 | + | 214.659i | 1.30204 | + | 0.594624i | 0.941152 | − | 0.337984i | \(-0.109745\pi\) |
0.360892 | + | 0.932608i | \(0.382472\pi\) | |||||||
\(20\) | −159.278 | − | 22.9007i | −0.398194 | − | 0.0572517i | ||||
\(21\) | −376.996 | − | 586.617i | −0.854866 | − | 1.33020i | ||||
\(22\) | − | 223.745i | − | 0.462283i | ||||||
\(23\) | −239.772 | − | 471.540i | −0.453255 | − | 0.891381i | ||||
\(24\) | −457.878 | −0.794927 | ||||||||
\(25\) | −105.157 | + | 67.5801i | −0.168251 | + | 0.108128i | ||||
\(26\) | 0.469165 | − | 3.26311i | 0.000694031 | − | 0.00482709i | ||||
\(27\) | −102.621 | + | 224.709i | −0.140770 | + | 0.308243i | ||||
\(28\) | −237.943 | − | 810.359i | −0.303498 | − | 1.03362i | ||||
\(29\) | −412.356 | − | 902.934i | −0.490316 | − | 1.07364i | −0.979497 | − | 0.201460i | \(-0.935431\pi\) |
0.489180 | − | 0.872183i | \(-0.337296\pi\) | |||||||
\(30\) | −127.296 | + | 110.302i | −0.141440 | + | 0.122558i | ||||
\(31\) | 268.889 | + | 1870.16i | 0.279801 | + | 1.94606i | 0.321446 | + | 0.946928i | \(0.395831\pi\) |
−0.0416448 | + | 0.999132i | \(0.513260\pi\) | |||||||
\(32\) | −812.231 | − | 238.493i | −0.793195 | − | 0.232903i | ||||
\(33\) | 1584.97 | + | 1373.39i | 1.45544 | + | 1.26114i | ||||
\(34\) | −87.4952 | + | 136.145i | −0.0756879 | + | 0.117773i | ||||
\(35\) | −551.918 | − | 354.696i | −0.450545 | − | 0.289548i | ||||
\(36\) | 567.509 | − | 654.940i | 0.437893 | − | 0.505355i | ||||
\(37\) | −527.639 | + | 1796.97i | −0.385419 | + | 1.31262i | 0.507209 | + | 0.861823i | \(0.330677\pi\) |
−0.892628 | + | 0.450794i | \(0.851141\pi\) | |||||||
\(38\) | 648.439 | − | 93.2314i | 0.449057 | − | 0.0645647i | ||||
\(39\) | 20.2355 | + | 23.3531i | 0.0133041 | + | 0.0153537i | ||||
\(40\) | −391.864 | + | 178.958i | −0.244915 | + | 0.111849i | ||||
\(41\) | −750.547 | + | 220.380i | −0.446488 | + | 0.131101i | −0.497245 | − | 0.867610i | \(-0.665655\pi\) |
0.0507566 | + | 0.998711i | \(0.483837\pi\) | |||||||
\(42\) | −804.153 | − | 367.244i | −0.455869 | − | 0.208188i | ||||
\(43\) | −521.246 | − | 74.9438i | −0.281907 | − | 0.0405321i | −8.88896e−5 | − | 1.00000i | \(-0.500028\pi\) |
−0.281818 | + | 0.959468i | \(0.590937\pi\) | |||||||
\(44\) | 1373.28 | + | 2136.87i | 0.709341 | + | 1.10376i | ||||
\(45\) | − | 673.187i | − | 0.332438i | ||||||
\(46\) | −578.924 | − | 338.567i | −0.273594 | − | 0.160003i | ||||
\(47\) | −525.188 | −0.237749 | −0.118875 | − | 0.992909i | \(-0.537929\pi\) | ||||
−0.118875 | + | 0.992909i | \(0.537929\pi\) | |||||||
\(48\) | 1813.77 | − | 1165.64i | 0.787225 | − | 0.505919i | ||||
\(49\) | 148.346 | − | 1031.77i | 0.0617851 | − | 0.429725i | ||||
\(50\) | −65.8320 | + | 144.152i | −0.0263328 | + | 0.0576608i | ||||
\(51\) | −427.369 | − | 1455.48i | −0.164309 | − | 0.559586i | ||||
\(52\) | 15.5473 | + | 34.0439i | 0.00574975 | + | 0.0125902i | ||||
\(53\) | 1883.47 | − | 1632.03i | 0.670511 | − | 0.581001i | −0.251645 | − | 0.967820i | \(-0.580972\pi\) |
0.922156 | + | 0.386819i | \(0.126426\pi\) | |||||||
\(54\) | 44.5707 | + | 309.996i | 0.0152849 | + | 0.106309i | ||||
\(55\) | 1893.24 | + | 555.905i | 0.625864 | + | 0.183770i | ||||
\(56\) | −1708.78 | − | 1480.66i | −0.544890 | − | 0.472150i | ||||
\(57\) | −3319.80 | + | 5165.70i | −1.02179 | + | 1.58994i | ||||
\(58\) | −1058.67 | − | 680.368i | −0.314707 | − | 0.202250i | ||||
\(59\) | −1401.78 | + | 1617.74i | −0.402695 | + | 0.464734i | −0.920488 | − | 0.390771i | \(-0.872208\pi\) |
0.517793 | + | 0.855506i | \(0.326754\pi\) | |||||||
\(60\) | 538.729 | − | 1834.74i | 0.149647 | − | 0.509651i | ||||
\(61\) | 4654.32 | − | 669.190i | 1.25082 | − | 0.179841i | 0.515104 | − | 0.857127i | \(-0.327753\pi\) |
0.735720 | + | 0.677286i | \(0.236844\pi\) | |||||||
\(62\) | 1568.62 | + | 1810.28i | 0.408069 | + | 0.470937i | ||||
\(63\) | 3213.95 | − | 1467.76i | 0.809763 | − | 0.369806i | ||||
\(64\) | 1755.62 | − | 515.498i | 0.428619 | − | 0.125854i | ||||
\(65\) | 26.4455 | + | 12.0772i | 0.00625928 | + | 0.00285852i | ||||
\(66\) | 2631.76 | + | 378.390i | 0.604168 | + | 0.0868663i | ||||
\(67\) | −3020.95 | − | 4700.69i | −0.672967 | − | 1.04716i | −0.994946 | − | 0.100411i | \(-0.967984\pi\) |
0.321979 | − | 0.946747i | \(-0.395652\pi\) | |||||||
\(68\) | − | 1837.27i | − | 0.397334i | ||||||
\(69\) | 5951.89 | − | 2022.82i | 1.25014 | − | 0.424872i | ||||
\(70\) | −831.749 | −0.169745 | ||||||||
\(71\) | 5932.30 | − | 3812.46i | 1.17681 | − | 0.756290i | 0.202013 | − | 0.979383i | \(-0.435252\pi\) |
0.974797 | + | 0.223093i | \(0.0716153\pi\) | |||||||
\(72\) | 330.176 | − | 2296.43i | 0.0636914 | − | 0.442983i | ||||
\(73\) | −3043.47 | + | 6664.27i | −0.571115 | + | 1.25057i | 0.375087 | + | 0.926990i | \(0.377613\pi\) |
−0.946202 | + | 0.323578i | \(0.895114\pi\) | |||||||
\(74\) | 668.931 | + | 2278.17i | 0.122157 | + | 0.416028i | ||||
\(75\) | −617.060 | − | 1351.17i | −0.109700 | − | 0.240209i | ||||
\(76\) | −5620.67 | + | 4870.34i | −0.973108 | + | 0.843203i | ||||
\(77\) | 1473.84 | + | 10250.8i | 0.248582 | + | 1.72893i | ||||
\(78\) | 37.5883 | + | 11.0369i | 0.00617822 | + | 0.00181409i | ||||
\(79\) | 2296.36 | + | 1989.81i | 0.367948 | + | 0.318829i | 0.819135 | − | 0.573601i | \(-0.194454\pi\) |
−0.451187 | + | 0.892429i | \(0.648999\pi\) | |||||||
\(80\) | 1096.69 | − | 1706.48i | 0.171357 | − | 0.266637i | ||||
\(81\) | −6572.46 | − | 4223.86i | −1.00175 | − | 0.643784i | ||||
\(82\) | −649.426 | + | 749.478i | −0.0965833 | + | 0.111463i | ||||
\(83\) | −366.849 | + | 1249.37i | −0.0532515 | + | 0.181358i | −0.981824 | − | 0.189793i | \(-0.939218\pi\) |
0.928573 | + | 0.371150i | \(0.121037\pi\) | |||||||
\(84\) | 9934.08 | − | 1428.30i | 1.40789 | − | 0.202424i | ||||
\(85\) | −934.618 | − | 1078.61i | −0.129359 | − | 0.149288i | ||||
\(86\) | −607.290 | + | 277.340i | −0.0821106 | + | 0.0374987i | ||||
\(87\) | 11317.9 | − | 3323.25i | 1.49530 | − | 0.439060i | ||||
\(88\) | 6185.70 | + | 2824.92i | 0.798773 | + | 0.364788i | ||||
\(89\) | −6330.18 | − | 910.142i | −0.799164 | − | 0.114902i | −0.269379 | − | 0.963034i | \(-0.586818\pi\) |
−0.529785 | + | 0.848132i | \(0.677727\pi\) | |||||||
\(90\) | −461.413 | − | 717.972i | −0.0569645 | − | 0.0886386i | ||||
\(91\) | 152.589i | 0.0184264i | ||||||||
\(92\) | 7607.03 | − | 319.795i | 0.898752 | − | 0.0377830i | ||||
\(93\) | −22452.2 | −2.59593 | ||||||||
\(94\) | −560.127 | + | 359.972i | −0.0633915 | + | 0.0407392i | ||||
\(95\) | −822.190 | + | 5718.46i | −0.0911014 | + | 0.633624i | ||||
\(96\) | 4178.84 | − | 9150.38i | 0.453433 | − | 0.992879i | ||||
\(97\) | 3877.00 | + | 13203.9i | 0.412053 | + | 1.40332i | 0.860471 | + | 0.509499i | \(0.170169\pi\) |
−0.448419 | + | 0.893824i | \(0.648013\pi\) | |||||||
\(98\) | −548.975 | − | 1202.09i | −0.0571611 | − | 0.125165i | ||||
\(99\) | −8030.96 | + | 6958.86i | −0.819402 | + | 0.710016i | ||||
\(100\) | −256.037 | − | 1780.78i | −0.0256037 | − | 0.178078i | ||||
\(101\) | −2808.01 | − | 824.506i | −0.275268 | − | 0.0808260i | 0.141185 | − | 0.989983i | \(-0.454909\pi\) |
−0.416453 | + | 0.909157i | \(0.636727\pi\) | |||||||
\(102\) | −1453.41 | − | 1259.39i | −0.139697 | − | 0.121048i | ||||
\(103\) | −909.522 | + | 1415.24i | −0.0857312 | + | 0.133400i | −0.881471 | − | 0.472239i | \(-0.843446\pi\) |
0.795740 | + | 0.605639i | \(0.207082\pi\) | |||||||
\(104\) | 84.2892 | + | 54.1694i | 0.00779301 | + | 0.00500826i | ||||
\(105\) | 5105.42 | − | 5891.97i | 0.463077 | − | 0.534419i | ||||
\(106\) | 890.147 | − | 3031.56i | 0.0792228 | − | 0.269808i | ||||
\(107\) | −9909.77 | + | 1424.81i | −0.865558 | + | 0.124448i | −0.560770 | − | 0.827972i | \(-0.689495\pi\) |
−0.304788 | + | 0.952420i | \(0.598586\pi\) | |||||||
\(108\) | −2328.34 | − | 2687.05i | −0.199618 | − | 0.230371i | ||||
\(109\) | −11732.9 | + | 5358.21i | −0.987531 | + | 0.450990i | −0.842652 | − | 0.538459i | \(-0.819007\pi\) |
−0.144879 | + | 0.989449i | \(0.546279\pi\) | |||||||
\(110\) | 2400.22 | − | 704.767i | 0.198365 | − | 0.0582452i | ||||
\(111\) | −20244.2 | − | 9245.22i | −1.64306 | − | 0.750363i | ||||
\(112\) | 10538.2 | + | 1515.17i | 0.840102 | + | 0.120788i | ||||
\(113\) | 13028.6 | + | 20272.9i | 1.02033 | + | 1.58767i | 0.788619 | + | 0.614882i | \(0.210796\pi\) |
0.231712 | + | 0.972785i | \(0.425567\pi\) | |||||||
\(114\) | 7784.80i | 0.599015i | ||||||||
\(115\) | 4303.18 | − | 4057.43i | 0.325382 | − | 0.306800i | ||||
\(116\) | 14286.7 | 1.06174 | ||||||||
\(117\) | −131.716 | + | 84.6486i | −0.00962202 | + | 0.00618370i | ||||
\(118\) | −386.212 | + | 2686.17i | −0.0277372 | + | 0.192916i | ||||
\(119\) | 3111.75 | − | 6813.79i | 0.219741 | − | 0.481166i | ||||
\(120\) | −1442.25 | − | 4911.87i | −0.100157 | − | 0.341102i | ||||
\(121\) | −6856.87 | − | 15014.4i | −0.468333 | − | 1.02551i | ||||
\(122\) | 4505.28 | − | 3903.85i | 0.302693 | − | 0.262285i | ||||
\(123\) | −1322.88 | − | 9200.85i | −0.0874402 | − | 0.608160i | ||||
\(124\) | −26092.0 | − | 7661.31i | −1.69693 | − | 0.498264i | ||||
\(125\) | −1056.19 | − | 915.196i | −0.0675963 | − | 0.0585725i | ||||
\(126\) | 2421.74 | − | 3768.30i | 0.152541 | − | 0.237358i | ||||
\(127\) | 16337.9 | + | 10499.7i | 1.01295 | + | 0.650985i | 0.938156 | − | 0.346214i | \(-0.112533\pi\) |
0.0747969 | + | 0.997199i | \(0.476169\pi\) | |||||||
\(128\) | 10388.7 | − | 11989.3i | 0.634079 | − | 0.731766i | ||||
\(129\) | 1763.02 | − | 6004.30i | 0.105945 | − | 0.360814i | ||||
\(130\) | 36.4827 | − | 5.24542i | 0.00215874 | − | 0.000310380i | ||||
\(131\) | −14001.3 | − | 16158.4i | −0.815882 | − | 0.941578i | 0.183257 | − | 0.983065i | \(-0.441336\pi\) |
−0.999139 | + | 0.0414871i | \(0.986790\pi\) | |||||||
\(132\) | −27457.0 | + | 12539.2i | −1.57581 | + | 0.719650i | ||||
\(133\) | −29093.9 | + | 8542.73i | −1.64474 | + | 0.482940i | ||||
\(134\) | −6443.85 | − | 2942.81i | −0.358869 | − | 0.163890i | ||||
\(135\) | −2733.80 | − | 393.061i | −0.150003 | − | 0.0215671i | ||||
\(136\) | −2659.22 | − | 4137.82i | −0.143773 | − | 0.223714i | ||||
\(137\) | 4672.82i | 0.248965i | 0.992222 | + | 0.124482i | \(0.0397271\pi\) | ||||
−0.992222 | + | 0.124482i | \(0.960273\pi\) | |||||||
\(138\) | 4961.39 | − | 6236.91i | 0.260522 | − | 0.327500i | ||||
\(139\) | −18449.1 | −0.954873 | −0.477436 | − | 0.878666i | \(-0.658434\pi\) | ||||
−0.477436 | + | 0.878666i | \(0.658434\pi\) | |||||||
\(140\) | 7943.60 | − | 5105.04i | 0.405286 | − | 0.260461i | ||||
\(141\) | 888.178 | − | 6177.42i | 0.0446747 | − | 0.310720i | ||||
\(142\) | 3713.84 | − | 8132.18i | 0.184182 | − | 0.403302i | ||||
\(143\) | −129.293 | − | 440.332i | −0.00632272 | − | 0.0215332i | ||||
\(144\) | 4538.18 | + | 9937.24i | 0.218855 | + | 0.479226i | ||||
\(145\) | 8387.32 | − | 7267.65i | 0.398921 | − | 0.345667i | ||||
\(146\) | 1321.85 | + | 9193.67i | 0.0620121 | + | 0.431304i | ||||
\(147\) | 11885.1 | + | 3489.78i | 0.550007 | + | 0.161497i | ||||
\(148\) | −20371.4 | − | 17651.9i | −0.930030 | − | 0.805876i | ||||
\(149\) | −15592.5 | + | 24262.5i | −0.702335 | + | 1.09286i | 0.288461 | + | 0.957492i | \(0.406857\pi\) |
−0.990796 | + | 0.135364i | \(0.956780\pi\) | |||||||
\(150\) | −1584.23 | − | 1018.12i | −0.0704101 | − | 0.0452498i | ||||
\(151\) | 18663.1 | − | 21538.4i | 0.818523 | − | 0.944626i | −0.180720 | − | 0.983535i | \(-0.557843\pi\) |
0.999243 | + | 0.0389087i | \(0.0123881\pi\) | |||||||
\(152\) | −5609.43 | + | 19104.0i | −0.242790 | + | 0.826868i | ||||
\(153\) | 7607.96 | − | 1093.86i | 0.325001 | − | 0.0467281i | ||||
\(154\) | 8597.95 | + | 9922.56i | 0.362538 | + | 0.418391i | ||||
\(155\) | −19215.1 | + | 8775.26i | −0.799798 | + | 0.365255i | ||||
\(156\) | −426.727 | + | 125.298i | −0.0175348 | + | 0.00514869i | ||||
\(157\) | −2930.91 | − | 1338.50i | −0.118906 | − | 0.0543026i | 0.355074 | − | 0.934838i | \(-0.384456\pi\) |
−0.473980 | + | 0.880536i | \(0.657183\pi\) | |||||||
\(158\) | 3812.98 | + | 548.224i | 0.152739 | + | 0.0219606i | ||||
\(159\) | 16011.2 | + | 24913.9i | 0.633329 | + | 0.985480i | ||||
\(160\) | − | 9464.40i | − | 0.369703i | ||||||
\(161\) | 28753.4 | + | 11697.9i | 1.10927 | + | 0.451290i | ||||
\(162\) | −9904.81 | −0.377412 | ||||||||
\(163\) | 18290.1 | − | 11754.3i | 0.688398 | − | 0.442407i | −0.149118 | − | 0.988819i | \(-0.547643\pi\) |
0.837516 | + | 0.546413i | \(0.184007\pi\) | |||||||
\(164\) | 1602.25 | − | 11143.9i | 0.0595719 | − | 0.414332i | ||||
\(165\) | −9740.50 | + | 21328.7i | −0.357778 | + | 0.783424i | ||||
\(166\) | 465.085 | + | 1583.94i | 0.0168778 | + | 0.0574806i | ||||
\(167\) | 6261.82 | + | 13711.5i | 0.224526 | + | 0.491644i | 0.988050 | − | 0.154136i | \(-0.0492594\pi\) |
−0.763523 | + | 0.645780i | \(0.776532\pi\) | |||||||
\(168\) | 20305.8 | − | 17595.1i | 0.719452 | − | 0.623409i | ||||
\(169\) | 4063.69 | + | 28263.6i | 0.142281 | + | 0.989587i | ||||
\(170\) | −1736.09 | − | 509.762i | −0.0600723 | − | 0.0176388i | ||||
\(171\) | −23514.0 | − | 20375.0i | −0.804144 | − | 0.696795i | ||||
\(172\) | 4097.67 | − | 6376.10i | 0.138510 | − | 0.215525i | ||||
\(173\) | 27915.5 | + | 17940.2i | 0.932722 | + | 0.599424i | 0.916322 | − | 0.400441i | \(-0.131143\pi\) |
0.0164000 | + | 0.999866i | \(0.494779\pi\) | |||||||
\(174\) | 9793.08 | − | 11301.8i | 0.323460 | − | 0.373293i | ||||
\(175\) | 2066.52 | − | 7037.92i | 0.0674782 | − | 0.229810i | ||||
\(176\) | −31694.5 | + | 4556.99i | −1.02320 | + | 0.147113i | ||||
\(177\) | −16657.7 | − | 19224.0i | −0.531702 | − | 0.613617i | ||||
\(178\) | −7375.13 | + | 3368.11i | −0.232771 | + | 0.106303i | ||||
\(179\) | 7767.45 | − | 2280.73i | 0.242422 | − | 0.0711816i | −0.158264 | − | 0.987397i | \(-0.550590\pi\) |
0.400687 | + | 0.916215i | \(0.368772\pi\) | |||||||
\(180\) | 8813.42 | + | 4024.96i | 0.272019 | + | 0.124227i | ||||
\(181\) | 34414.5 | + | 4948.06i | 1.05047 | + | 0.151035i | 0.645861 | − | 0.763455i | \(-0.276498\pi\) |
0.404610 | + | 0.914490i | \(0.367407\pi\) | |||||||
\(182\) | 104.587 | + | 162.740i | 0.00315743 | + | 0.00491306i | ||||
\(183\) | 55877.2i | 1.66852i | ||||||||
\(184\) | 16669.4 | − | 11730.4i | 0.492361 | − | 0.346480i | ||||
\(185\) | −20938.9 | −0.611802 | ||||||||
\(186\) | −23945.8 | + | 15389.1i | −0.692156 | + | 0.444822i | ||||
\(187\) | −3206.19 | + | 22299.5i | −0.0916866 | + | 0.637694i | ||||
\(188\) | 3140.07 | − | 6875.80i | 0.0888432 | − | 0.194539i | ||||
\(189\) | −4083.98 | − | 13908.8i | −0.114330 | − | 0.389372i | ||||
\(190\) | 3042.63 | + | 6662.43i | 0.0842834 | + | 0.184555i | ||||
\(191\) | 29663.3 | − | 25703.4i | 0.813117 | − | 0.704570i | −0.145472 | − | 0.989362i | \(-0.546470\pi\) |
0.958589 | + | 0.284793i | \(0.0919247\pi\) | |||||||
\(192\) | 3094.39 | + | 21522.0i | 0.0839407 | + | 0.583820i | ||||
\(193\) | −39115.9 | − | 11485.5i | −1.05012 | − | 0.308343i | −0.289253 | − | 0.957253i | \(-0.593407\pi\) |
−0.760865 | + | 0.648910i | \(0.775225\pi\) | |||||||
\(194\) | 13185.1 | + | 11424.9i | 0.350331 | + | 0.303564i | ||||
\(195\) | −186.780 | + | 290.635i | −0.00491202 | + | 0.00764326i | ||||
\(196\) | 12621.0 | + | 8111.05i | 0.328536 | + | 0.211137i | ||||
\(197\) | 16075.8 | − | 18552.4i | 0.414228 | − | 0.478044i | −0.509842 | − | 0.860268i | \(-0.670296\pi\) |
0.924070 | + | 0.382224i | \(0.124842\pi\) | |||||||
\(198\) | −3795.52 | + | 12926.4i | −0.0968146 | + | 0.329720i | ||||
\(199\) | 15167.2 | − | 2180.71i | 0.382999 | − | 0.0550670i | 0.0518736 | − | 0.998654i | \(-0.483481\pi\) |
0.331126 | + | 0.943587i | \(0.392572\pi\) | |||||||
\(200\) | −3154.09 | − | 3640.01i | −0.0788522 | − | 0.0910003i | ||||
\(201\) | 60399.8 | − | 27583.7i | 1.49501 | − | 0.682748i | ||||
\(202\) | −3559.95 | + | 1045.30i | −0.0872451 | + | 0.0256175i | ||||
\(203\) | 52984.4 | + | 24197.2i | 1.28575 | + | 0.587182i | ||||
\(204\) | 21610.5 | + | 3107.13i | 0.519284 | + | 0.0746618i | ||||
\(205\) | −4728.24 | − | 7357.29i | −0.112510 | − | 0.175069i | ||||
\(206\) | 2132.80i | 0.0502591i | ||||||||
\(207\) | 5853.25 | + | 31309.6i | 0.136602 | + | 0.730695i | ||||
\(208\) | −471.791 | −0.0109049 | ||||||||
\(209\) | 76718.9 | − | 49304.3i | 1.75635 | − | 1.12873i | ||||
\(210\) | 1406.62 | − | 9783.28i | 0.0318962 | − | 0.221843i | ||||
\(211\) | 35340.0 | − | 77383.7i | 0.793782 | − | 1.73814i | 0.128287 | − | 0.991737i | \(-0.459052\pi\) |
0.665495 | − | 0.746403i | \(-0.268221\pi\) | |||||||
\(212\) | 10105.5 | + | 34416.3i | 0.224847 | + | 0.765760i | ||||
\(213\) | 34810.8 | + | 76225.0i | 0.767281 | + | 1.68011i | ||||
\(214\) | −9592.45 | + | 8311.91i | −0.209460 | + | 0.181499i | ||||
\(215\) | −837.897 | − | 5827.70i | −0.0181265 | − | 0.126073i | ||||
\(216\) | −9132.95 | − | 2681.68i | −0.195751 | − | 0.0574776i | ||||
\(217\) | −83790.2 | − | 72604.6i | −1.77940 | − | 1.54186i | ||||
\(218\) | −8840.80 | + | 13756.6i | −0.186028 | + | 0.289465i | ||||
\(219\) | −73240.2 | − | 47068.6i | −1.52708 | − | 0.981393i | ||||
\(220\) | −18597.5 | + | 21462.7i | −0.384247 | + | 0.443444i | ||||
\(221\) | −93.5186 | + | 318.495i | −0.00191476 | + | 0.00652106i | ||||
\(222\) | −27927.8 | + | 4015.41i | −0.566671 | + | 0.0814750i | ||||
\(223\) | 6664.88 | + | 7691.68i | 0.134024 | + | 0.154672i | 0.818794 | − | 0.574087i | \(-0.194643\pi\) |
−0.684770 | + | 0.728759i | \(0.740097\pi\) | |||||||
\(224\) | 45185.2 | − | 20635.4i | 0.900534 | − | 0.411260i | ||||
\(225\) | 7221.59 | − | 2120.45i | 0.142649 | − | 0.0418854i | ||||
\(226\) | 27790.7 | + | 12691.6i | 0.544105 | + | 0.248485i | ||||
\(227\) | 26803.3 | + | 3853.73i | 0.520159 | + | 0.0747876i | 0.397394 | − | 0.917648i | \(-0.369915\pi\) |
0.122765 | + | 0.992436i | \(0.460824\pi\) | |||||||
\(228\) | −47780.9 | − | 74348.5i | −0.919146 | − | 1.43022i | ||||
\(229\) | 23566.9i | 0.449398i | 0.974428 | + | 0.224699i | \(0.0721398\pi\) | ||||
−0.974428 | + | 0.224699i | \(0.927860\pi\) | |||||||
\(230\) | 1808.43 | − | 7276.83i | 0.0341859 | − | 0.137558i | ||||
\(231\) | −123065. | −2.30628 | ||||||||
\(232\) | 32176.0 | − | 20678.2i | 0.597800 | − | 0.384183i | ||||
\(233\) | −216.413 | + | 1505.19i | −0.00398632 | + | 0.0277255i | −0.991718 | − | 0.128438i | \(-0.959004\pi\) |
0.987731 | + | 0.156164i | \(0.0499127\pi\) | |||||||
\(234\) | −82.4591 | + | 180.560i | −0.00150594 | + | 0.00329754i | ||||
\(235\) | −1654.27 | − | 5633.93i | −0.0299551 | − | 0.102018i | ||||
\(236\) | −12798.4 | − | 28024.6i | −0.229791 | − | 0.503171i | ||||
\(237\) | −27288.3 | + | 23645.4i | −0.485824 | + | 0.420969i | ||||
\(238\) | −1351.51 | − | 9399.93i | −0.0238596 | − | 0.165947i | ||||
\(239\) | 78388.0 | + | 23016.8i | 1.37232 | + | 0.402948i | 0.883088 | − | 0.469208i | \(-0.155461\pi\) |
0.489228 | + | 0.872156i | \(0.337279\pi\) | |||||||
\(240\) | 18217.4 | + | 15785.5i | 0.316275 | + | 0.274054i | ||||
\(241\) | −35531.6 | + | 55288.2i | −0.611759 | + | 0.951915i | 0.387786 | + | 0.921749i | \(0.373240\pi\) |
−0.999545 | + | 0.0301657i | \(0.990397\pi\) | |||||||
\(242\) | −17604.2 | − | 11313.5i | −0.300597 | − | 0.193182i | ||||
\(243\) | 47693.9 | − | 55041.7i | 0.807701 | − | 0.932136i | ||||
\(244\) | −19066.9 | + | 64935.8i | −0.320258 | + | 1.09070i | ||||
\(245\) | 11535.5 | − | 1658.56i | 0.192179 | − | 0.0276311i | ||||
\(246\) | −7717.30 | − | 8906.23i | −0.127525 | − | 0.147172i | ||||
\(247\) | 1222.26 | − | 558.187i | 0.0200341 | − | 0.00914926i | ||||
\(248\) | −69852.1 | + | 20510.4i | −1.13573 | + | 0.333481i | ||||
\(249\) | −14075.1 | − | 6427.89i | −0.227014 | − | 0.103674i | ||||
\(250\) | −1753.75 | − | 252.151i | −0.0280599 | − | 0.00403441i | ||||
\(251\) | 51762.6 | + | 80544.2i | 0.821615 | + | 1.27846i | 0.957702 | + | 0.287761i | \(0.0929110\pi\) |
−0.136087 | + | 0.990697i | \(0.543453\pi\) | |||||||
\(252\) | 50853.0i | 0.800784i | ||||||||
\(253\) | −92887.0 | − | 9393.44i | −1.45115 | − | 0.146752i | ||||
\(254\) | 24621.5 | 0.381634 | ||||||||
\(255\) | 14267.5 | − | 9169.16i | 0.219415 | − | 0.141010i | ||||
\(256\) | −1304.13 | + | 9070.40i | −0.0198994 | + | 0.138403i | ||||
\(257\) | −5294.95 | + | 11594.3i | −0.0801670 | + | 0.175541i | −0.945471 | − | 0.325706i | \(-0.894398\pi\) |
0.865304 | + | 0.501247i | \(0.167125\pi\) | |||||||
\(258\) | −2235.13 | − | 7612.16i | −0.0335787 | − | 0.114358i | ||||
\(259\) | −45653.5 | − | 99967.2i | −0.680573 | − | 1.49025i | ||||
\(260\) | −316.232 | + | 274.017i | −0.00467799 | + | 0.00405350i | ||||
\(261\) | 8505.92 | + | 59159.9i | 0.124865 | + | 0.868454i | ||||
\(262\) | −26008.0 | − | 7636.65i | −0.378883 | − | 0.111250i | ||||
\(263\) | −67226.0 | − | 58251.6i | −0.971909 | − | 0.842164i | 0.0155760 | − | 0.999879i | \(-0.495042\pi\) |
−0.987485 | + | 0.157715i | \(0.949587\pi\) | |||||||
\(264\) | −43688.5 | + | 67980.7i | −0.626844 | + | 0.975388i | ||||
\(265\) | 23440.2 | + | 15064.1i | 0.333787 | + | 0.214512i | ||||
\(266\) | −25174.1 | + | 29052.4i | −0.355787 | + | 0.410600i | ||||
\(267\) | 21410.7 | − | 72918.2i | 0.300337 | − | 1.02285i | ||||
\(268\) | 79604.0 | − | 11445.3i | 1.10832 | − | 0.159352i | ||||
\(269\) | −32616.0 | − | 37640.9i | −0.450741 | − | 0.520182i | 0.484214 | − | 0.874950i | \(-0.339106\pi\) |
−0.934955 | + | 0.354767i | \(0.884560\pi\) | |||||||
\(270\) | −3185.08 | + | 1454.58i | −0.0436911 | + | 0.0199530i | ||||
\(271\) | −3435.54 | + | 1008.76i | −0.0467795 | + | 0.0137357i | −0.305039 | − | 0.952340i | \(-0.598669\pi\) |
0.258259 | + | 0.966076i | \(0.416851\pi\) | |||||||
\(272\) | 21067.6 | + | 9621.25i | 0.284759 | + | 0.130045i | ||||
\(273\) | −1794.80 | − | 258.053i | −0.0240818 | − | 0.00346245i | ||||
\(274\) | 3202.82 | + | 4983.69i | 0.0426611 | + | 0.0663820i | ||||
\(275\) | 22060.7i | 0.291711i | ||||||||
\(276\) | −9103.20 | + | 90017.0i | −0.119502 | + | 1.18170i | ||||
\(277\) | −10248.2 | −0.133564 | −0.0667821 | − | 0.997768i | \(-0.521273\pi\) | ||||
−0.0667821 | + | 0.997768i | \(0.521273\pi\) | |||||||
\(278\) | −19676.5 | + | 12645.3i | −0.254599 | + | 0.163621i | ||||
\(279\) | 16190.3 | − | 112606.i | 0.207991 | − | 1.44661i | ||||
\(280\) | 10501.3 | − | 22994.7i | 0.133946 | − | 0.293300i | ||||
\(281\) | 22577.6 | + | 76892.3i | 0.285934 | + | 0.973802i | 0.969740 | + | 0.244138i | \(0.0785050\pi\) |
−0.683807 | + | 0.729663i | \(0.739677\pi\) | |||||||
\(282\) | −3286.83 | − | 7197.15i | −0.0413313 | − | 0.0905029i | ||||
\(283\) | 50218.5 | − | 43514.6i | 0.627034 | − | 0.543328i | −0.282336 | − | 0.959315i | \(-0.591109\pi\) |
0.909370 | + | 0.415987i | \(0.136564\pi\) | |||||||
\(284\) | 14444.1 | + | 100461.i | 0.179082 | + | 1.24555i | ||||
\(285\) | −65871.8 | − | 19341.7i | −0.810979 | − | 0.238125i | ||||
\(286\) | −439.705 | − | 381.007i | −0.00537564 | − | 0.00465801i | ||||
\(287\) | 24816.3 | − | 38614.9i | 0.301282 | − | 0.468804i | ||||
\(288\) | 42879.1 | + | 27556.7i | 0.516964 | + | 0.332233i | ||||
\(289\) | −44023.5 | + | 50805.8i | −0.527095 | + | 0.608300i | ||||
\(290\) | 3963.94 | − | 13499.9i | 0.0471337 | − | 0.160522i | ||||
\(291\) | −161864. | + | 23272.6i | −1.91146 | + | 0.274827i | ||||
\(292\) | −69052.4 | − | 79690.8i | −0.809866 | − | 0.934636i | ||||
\(293\) | 80254.4 | − | 36651.0i | 0.934832 | − | 0.426923i | 0.111040 | − | 0.993816i | \(-0.464582\pi\) |
0.823792 | + | 0.566892i | \(0.191854\pi\) | |||||||
\(294\) | 15067.7 | − | 4424.28i | 0.174322 | − | 0.0511856i | ||||
\(295\) | −21769.7 | − | 9941.87i | −0.250154 | − | 0.114242i | ||||
\(296\) | −71428.4 | − | 10269.9i | −0.815244 | − | 0.117214i | ||||
\(297\) | 23570.7 | + | 36676.7i | 0.267214 | + | 0.415793i | ||||
\(298\) | 36564.0i | 0.411738i | ||||||||
\(299\) | −1334.97 | − | 331.767i | −0.0149324 | − | 0.00371099i | ||||
\(300\) | 21379.0 | 0.237545 | ||||||||
\(301\) | 25995.9 | − | 16706.5i | 0.286927 | − | 0.184397i | ||||
\(302\) | 5141.99 | − | 35763.3i | 0.0563790 | − | 0.392124i | ||||
\(303\) | 14446.9 | − | 31634.3i | 0.157358 | − | 0.344566i | ||||
\(304\) | −26413.3 | − | 89955.6i | −0.285809 | − | 0.973376i | ||||
\(305\) | 21839.2 | + | 47821.1i | 0.234767 | + | 0.514067i | ||||
\(306\) | 7364.35 | − | 6381.24i | 0.0786487 | − | 0.0681494i | ||||
\(307\) | −9232.63 | − | 64214.3i | −0.0979600 | − | 0.681326i | −0.978332 | − | 0.207043i | \(-0.933616\pi\) |
0.880372 | − | 0.474284i | \(-0.157293\pi\) | |||||||
\(308\) | −143016. | − | 41993.4i | −1.50759 | − | 0.442670i | ||||
\(309\) | −15108.4 | − | 13091.5i | −0.158234 | − | 0.137111i | ||||
\(310\) | −14478.8 | + | 22529.4i | −0.150664 | + | 0.234437i | ||||
\(311\) | −37943.1 | − | 24384.6i | −0.392295 | − | 0.252113i | 0.329592 | − | 0.944123i | \(-0.393089\pi\) |
−0.721887 | + | 0.692011i | \(0.756725\pi\) | |||||||
\(312\) | −779.703 | + | 899.825i | −0.00800977 | + | 0.00924377i | ||||
\(313\) | −12545.0 | + | 42724.3i | −0.128051 | + | 0.436100i | −0.998413 | − | 0.0563110i | \(-0.982066\pi\) |
0.870363 | + | 0.492411i | \(0.163884\pi\) | |||||||
\(314\) | −4043.33 | + | 581.343i | −0.0410091 | + | 0.00589621i | ||||
\(315\) | 25868.9 | + | 29854.2i | 0.260709 | + | 0.300874i | ||||
\(316\) | −39780.6 | + | 18167.2i | −0.398380 | + | 0.181934i | ||||
\(317\) | 179027. | − | 52567.2i | 1.78156 | − | 0.523114i | 0.786086 | − | 0.618118i | \(-0.212104\pi\) |
0.995477 | + | 0.0950037i | \(0.0302863\pi\) | |||||||
\(318\) | 34152.8 | + | 15597.0i | 0.337731 | + | 0.154237i | ||||
\(319\) | −173403. | − | 24931.5i | −1.70402 | − | 0.245001i | ||||
\(320\) | 11060.0 | + | 17209.6i | 0.108007 | + | 0.168063i | ||||
\(321\) | − | 118971.i | − | 1.15460i | ||||||
\(322\) | 38684.2 | − | 7231.92i | 0.373097 | − | 0.0697496i | ||||
\(323\) | −65962.6 | −0.632255 | ||||||||
\(324\) | 94595.6 | − | 60792.9i | 0.901117 | − | 0.579113i | ||||
\(325\) | −46.2584 | + | 321.734i | −0.000437949 | + | 0.00304600i | ||||
\(326\) | 11450.3 | − | 25072.6i | 0.107741 | − | 0.235919i | ||||
\(327\) | −43182.7 | − | 147067.i | −0.403845 | − | 1.37537i | ||||
\(328\) | −12520.8 | − | 27416.8i | −0.116382 | − | 0.254841i | ||||
\(329\) | 23290.8 | − | 20181.6i | 0.215176 | − | 0.186451i | ||||
\(330\) | 4230.52 | + | 29423.9i | 0.0388478 | + | 0.270192i | ||||
\(331\) | 138385. | + | 40633.6i | 1.26309 | + | 0.370876i | 0.843643 | − | 0.536905i | \(-0.180407\pi\) |
0.419445 | + | 0.907781i | \(0.362225\pi\) | |||||||
\(332\) | −14163.5 | − | 12272.8i | −0.128498 | − | 0.111344i | ||||
\(333\) | 60966.2 | − | 94865.3i | 0.549795 | − | 0.855498i | ||||
\(334\) | 16076.4 | + | 10331.7i | 0.144111 | + | 0.0926145i | ||||
\(335\) | 40910.9 | − | 47213.7i | 0.364543 | − | 0.420705i | ||||
\(336\) | −35643.8 | + | 121392.i | −0.315722 | + | 1.07525i | ||||
\(337\) | 124500. | − | 17900.4i | 1.09625 | − | 0.157617i | 0.429623 | − | 0.903008i | \(-0.358646\pi\) |
0.666627 | + | 0.745391i | \(0.267737\pi\) | |||||||
\(338\) | 23706.3 | + | 27358.6i | 0.207506 | + | 0.239475i | ||||
\(339\) | −260489. | + | 118962.i | −2.26668 | + | 1.03516i | ||||
\(340\) | 19709.3 | − | 5787.16i | 0.170495 | − | 0.0500619i | ||||
\(341\) | 303317. | + | 138520.i | 2.60849 | + | 1.19126i | ||||
\(342\) | −39043.6 | − | 5613.62i | −0.333809 | − | 0.0479944i | ||||
\(343\) | −43102.2 | − | 67068.4i | −0.366363 | − | 0.570072i | ||||
\(344\) | − | 20290.8i | − | 0.171468i | ||||||
\(345\) | 40447.4 | + | 57477.1i | 0.339822 | + | 0.482899i | ||||
\(346\) | 42069.1 | 0.351407 | ||||||||
\(347\) | −101897. | + | 65485.4i | −0.846260 | + | 0.543858i | −0.890406 | − | 0.455167i | \(-0.849580\pi\) |
0.0441461 | + | 0.999025i | \(0.485943\pi\) | |||||||
\(348\) | −24161.2 | + | 168045.i | −0.199508 | + | 1.38761i | ||||
\(349\) | −17446.4 | + | 38202.2i | −0.143237 | + | 0.313644i | −0.967630 | − | 0.252373i | \(-0.918789\pi\) |
0.824394 | + | 0.566017i | \(0.191516\pi\) | |||||||
\(350\) | −2619.90 | − | 8922.55i | −0.0213869 | − | 0.0728372i | ||||
\(351\) | 266.850 | + | 584.320i | 0.00216597 | + | 0.00474282i | ||||
\(352\) | −112908. | + | 97835.3i | −0.911253 | + | 0.789605i | ||||
\(353\) | 18863.1 | + | 131196.i | 0.151378 | + | 1.05286i | 0.913912 | + | 0.405912i | \(0.133046\pi\) |
−0.762534 | + | 0.646949i | \(0.776045\pi\) | |||||||
\(354\) | −30942.3 | − | 9085.49i | −0.246914 | − | 0.0725006i | ||||
\(355\) | 59583.9 | + | 51629.8i | 0.472795 | + | 0.409679i | ||||
\(356\) | 49763.5 | − | 77433.5i | 0.392655 | − | 0.610983i | ||||
\(357\) | 74883.3 | + | 48124.6i | 0.587555 | + | 0.377599i | ||||
\(358\) | 6720.95 | − | 7756.39i | 0.0524402 | − | 0.0605192i | ||||
\(359\) | 25982.8 | − | 88489.2i | 0.201603 | − | 0.686596i | −0.795175 | − | 0.606380i | \(-0.792621\pi\) |
0.996778 | − | 0.0802157i | \(-0.0255609\pi\) | |||||||
\(360\) | 25674.8 | − | 3691.48i | 0.198108 | − | 0.0284837i | ||||
\(361\) | 89515.0 | + | 103306.i | 0.686881 | + | 0.792703i | ||||
\(362\) | 40095.5 | − | 18311.0i | 0.305969 | − | 0.139732i | ||||
\(363\) | 188200. | − | 55260.6i | 1.42826 | − | 0.419375i | ||||
\(364\) | −1997.71 | − | 912.322i | −0.0150775 | − | 0.00688565i | ||||
\(365\) | −81077.2 | − | 11657.1i | −0.608574 | − | 0.0874997i | ||||
\(366\) | 38299.1 | + | 59594.5i | 0.285908 | + | 0.444881i | ||||
\(367\) | − | 5056.01i | − | 0.0375384i | −0.999824 | − | 0.0187692i | \(-0.994025\pi\) | ||
0.999824 | − | 0.0187692i | \(-0.00597478\pi\) | |||||||
\(368\) | −36168.8 | + | 88902.9i | −0.267078 | + | 0.656478i | ||||
\(369\) | 47099.5 | 0.345911 | ||||||||
\(370\) | −22331.9 | + | 14351.9i | −0.163126 | + | 0.104835i | ||||
\(371\) | −20812.4 | + | 144753.i | −0.151208 | + | 1.05167i | ||||
\(372\) | 134240. | − | 293946.i | 0.970058 | − | 2.12413i | ||||
\(373\) | 12791.9 | + | 43565.1i | 0.0919425 | + | 0.313127i | 0.992605 | − | 0.121393i | \(-0.0387361\pi\) |
−0.900662 | + | 0.434520i | \(0.856918\pi\) | |||||||
\(374\) | 11865.0 | + | 25980.6i | 0.0848248 | + | 0.185740i | ||||
\(375\) | 12551.0 | − | 10875.5i | 0.0892515 | − | 0.0773369i | ||||
\(376\) | −2879.91 | − | 20030.2i | −0.0203706 | − | 0.141681i | ||||
\(377\) | −2476.64 | − | 727.206i | −0.0174253 | − | 0.00511652i | ||||
\(378\) | −13889.0 | − | 12034.9i | −0.0972045 | − | 0.0842281i | ||||
\(379\) | −115431. | + | 179614.i | −0.803609 | + | 1.25044i | 0.161052 | + | 0.986946i | \(0.448511\pi\) |
−0.964661 | + | 0.263494i | \(0.915125\pi\) | |||||||
\(380\) | −69950.7 | − | 44954.6i | −0.484423 | − | 0.311320i | ||||
\(381\) | −151131. | + | 174415.i | −1.04113 | + | 1.20153i | ||||
\(382\) | 14019.2 | − | 47745.1i | 0.0960721 | − | 0.327191i | ||||
\(383\) | −40678.9 | + | 5848.74i | −0.277314 | + | 0.0398717i | −0.279568 | − | 0.960126i | \(-0.590191\pi\) |
0.00225474 | + | 0.999997i | \(0.499282\pi\) | |||||||
\(384\) | 123452. | + | 142471.i | 0.837213 | + | 0.966196i | ||||
\(385\) | −105323. | + | 48099.2i | −0.710559 | + | 0.324501i | ||||
\(386\) | −49590.4 | + | 14561.1i | −0.332831 | + | 0.0977279i | ||||
\(387\) | 28842.4 | + | 13171.9i | 0.192580 | + | 0.0879481i | ||||
\(388\) | −196046. | − | 28187.2i | −1.30225 | − | 0.187236i | ||||
\(389\) | −37233.5 | − | 57936.4i | −0.246056 | − | 0.382871i | 0.696154 | − | 0.717892i | \(-0.254893\pi\) |
−0.942211 | + | 0.335021i | \(0.891257\pi\) | |||||||
\(390\) | 437.992i | 0.00287963i | ||||||||
\(391\) | 52846.9 | + | 42039.1i | 0.345673 | + | 0.274979i | ||||
\(392\) | 40164.3 | 0.261377 | ||||||||
\(393\) | 213739. | − | 137362.i | 1.38388 | − | 0.889365i | ||||
\(394\) | 4429.13 | − | 30805.2i | 0.0285316 | − | 0.198441i | ||||
\(395\) | −14112.4 | + | 30901.8i | −0.0904494 | + | 0.198056i | ||||
\(396\) | −43089.3 | − | 146749.i | −0.274776 | − | 0.935802i | ||||
\(397\) | 88179.2 | + | 193085.i | 0.559480 | + | 1.22509i | 0.952212 | + | 0.305438i | \(0.0988029\pi\) |
−0.392732 | + | 0.919653i | \(0.628470\pi\) | |||||||
\(398\) | 14681.5 | − | 12721.6i | 0.0926838 | − | 0.0803110i | ||||
\(399\) | −51279.6 | − | 356658.i | −0.322106 | − | 2.24030i | ||||
\(400\) | 21760.6 | + | 6389.49i | 0.136004 | + | 0.0399343i | ||||
\(401\) | −117857. | − | 102124.i | −0.732940 | − | 0.635096i | 0.206248 | − | 0.978500i | \(-0.433875\pi\) |
−0.939188 | + | 0.343404i | \(0.888420\pi\) | |||||||
\(402\) | 45511.8 | − | 70817.7i | 0.281625 | − | 0.438218i | ||||
\(403\) | 4133.14 | + | 2656.21i | 0.0254490 | + | 0.0163551i | ||||
\(404\) | 27583.5 | − | 31833.0i | 0.169000 | − | 0.195036i | ||||
\(405\) | 24609.0 | − | 83810.4i | 0.150032 | − | 0.510961i | ||||
\(406\) | 73094.4 | − | 10509.4i | 0.443437 | − | 0.0637567i | ||||
\(407\) | 216450. | + | 249796.i | 1.30668 | + | 1.50799i | ||||
\(408\) | 53167.5 | − | 24280.8i | 0.319393 | − | 0.145862i | ||||
\(409\) | 183397. | − | 53850.1i | 1.09634 | − | 0.321914i | 0.316942 | − | 0.948445i | \(-0.397344\pi\) |
0.779396 | + | 0.626531i | \(0.215526\pi\) | |||||||
\(410\) | −10085.6 | − | 4605.94i | −0.0599976 | − | 0.0274000i | ||||
\(411\) | −54963.1 | − | 7902.51i | −0.325378 | − | 0.0467823i | ||||
\(412\) | −13090.5 | − | 20369.2i | −0.0771191 | − | 0.120000i | ||||
\(413\) | − | 125610.i | − | 0.736416i | ||||||
\(414\) | 27702.7 | + | 29380.6i | 0.161630 | + | 0.171419i | ||||
\(415\) | −14558.1 | −0.0845297 | ||||||||
\(416\) | −1851.80 | + | 1190.08i | −0.0107006 | + | 0.00687686i | ||||
\(417\) | 31200.4 | − | 217004.i | 0.179427 | − | 1.24794i | ||||
\(418\) | 48028.9 | − | 105169.i | 0.274885 | − | 0.601913i | ||||
\(419\) | 49656.1 | + | 169113.i | 0.282843 | + | 0.963274i | 0.971272 | + | 0.237971i | \(0.0764822\pi\) |
−0.688430 | + | 0.725303i | \(0.741700\pi\) | |||||||
\(420\) | 46613.1 | + | 102068.i | 0.264247 | + | 0.578619i | ||||
\(421\) | −75799.1 | + | 65680.3i | −0.427661 | + | 0.370570i | −0.841932 | − | 0.539583i | \(-0.818582\pi\) |
0.414271 | + | 0.910153i | \(0.364036\pi\) | |||||||
\(422\) | −15349.0 | − | 106754.i | −0.0861895 | − | 0.599461i | ||||
\(423\) | 30341.5 | + | 8909.07i | 0.169573 | + | 0.0497911i | ||||
\(424\) | 72572.5 | + | 62884.4i | 0.403683 | + | 0.349793i | ||||
\(425\) | 8626.79 | − | 13423.5i | 0.0477608 | − | 0.0743172i | ||||
\(426\) | 89372.4 | + | 57436.2i | 0.492475 | + | 0.316495i | ||||
\(427\) | −180693. | + | 208530.i | −0.991025 | + | 1.14370i | ||||
\(428\) | 40596.3 | − | 138258.i | 0.221615 | − | 0.754752i | ||||
\(429\) | 5397.98 | − | 776.112i | 0.0293303 | − | 0.00421706i | ||||
\(430\) | −4888.04 | − | 5641.10i | −0.0264361 | − | 0.0305089i | ||||
\(431\) | −139094. | + | 63522.0i | −0.748778 | + | 0.341955i | −0.752987 | − | 0.658036i | \(-0.771388\pi\) |
0.00420898 | + | 0.999991i | \(0.498660\pi\) | |||||||
\(432\) | 43004.6 | − | 12627.3i | 0.230435 | − | 0.0676617i | ||||
\(433\) | −134894. | − | 61604.0i | −0.719477 | − | 0.328574i | 0.0218101 | − | 0.999762i | \(-0.493057\pi\) |
−0.741287 | + | 0.671188i | \(0.765784\pi\) | |||||||
\(434\) | −139129. | − | 20003.7i | −0.738648 | − | 0.106202i | ||||
\(435\) | 71300.0 | + | 110945.i | 0.376800 | + | 0.586312i | ||||
\(436\) | − | 185644.i | − | 0.976580i | ||||||
\(437\) | −11481.4 | − | 273111.i | −0.0601220 | − | 1.43013i | ||||
\(438\) | −110374. | −0.575333 | ||||||||
\(439\) | 172765. | − | 111029.i | 0.896451 | − | 0.576114i | −0.00928501 | − | 0.999957i | \(-0.502956\pi\) |
0.905736 | + | 0.423843i | \(0.139319\pi\) | |||||||
\(440\) | −10820.0 | + | 75255.0i | −0.0558886 | + | 0.388714i | ||||
\(441\) | −26072.8 | + | 57091.6i | −0.134064 | + | 0.293559i | ||||
\(442\) | 118.561 | + | 403.783i | 0.000606874 | + | 0.00206682i | ||||
\(443\) | 35263.6 | + | 77216.5i | 0.179688 | + | 0.393462i | 0.977947 | − | 0.208852i | \(-0.0669727\pi\) |
−0.798259 | + | 0.602314i | \(0.794245\pi\) | |||||||
\(444\) | 242078. | − | 209762.i | 1.22798 | − | 1.06405i | ||||
\(445\) | −10175.7 | − | 70773.5i | −0.0513859 | − | 0.357397i | ||||
\(446\) | 12380.3 | + | 3635.18i | 0.0622387 | + | 0.0182749i | ||||
\(447\) | −259013. | − | 224436.i | −1.29630 | − | 1.12325i | ||||
\(448\) | −58048.5 | + | 90325.2i | −0.289224 | + | 0.450042i | ||||
\(449\) | 43262.6 | + | 27803.2i | 0.214595 | + | 0.137912i | 0.643523 | − | 0.765427i | \(-0.277472\pi\) |
−0.428928 | + | 0.903339i | \(0.641108\pi\) | |||||||
\(450\) | 6248.63 | − | 7211.30i | 0.0308574 | − | 0.0356114i | ||||
\(451\) | −38893.9 | + | 132460.i | −0.191218 | + | 0.651228i | ||||
\(452\) | −343312. | + | 49360.8i | −1.68040 | + | 0.241605i | ||||
\(453\) | 221779. | + | 255946.i | 1.08075 | + | 1.24725i | ||||
\(454\) | 31227.8 | − | 14261.3i | 0.151506 | − | 0.0691905i | ||||
\(455\) | −1636.89 | + | 480.634i | −0.00790673 | + | 0.00232162i | ||||
\(456\) | −215220. | − | 98287.7i | −1.03503 | − | 0.472683i | ||||
\(457\) | −262339. | − | 37718.6i | −1.25612 | − | 0.180602i | −0.518061 | − | 0.855343i | \(-0.673346\pi\) |
−0.738054 | + | 0.674741i | \(0.764255\pi\) | |||||||
\(458\) | 16153.1 | + | 25134.7i | 0.0770060 | + | 0.119824i | ||||
\(459\) | − | 31534.4i | − | 0.149679i | ||||||
\(460\) | 27391.7 | + | 80596.8i | 0.129450 | + | 0.380892i | ||||
\(461\) | 187979. | 0.884519 | 0.442259 | − | 0.896887i | \(-0.354177\pi\) | ||||
0.442259 | + | 0.896887i | \(0.354177\pi\) | |||||||
\(462\) | −131253. | + | 84351.0i | −0.614928 | + | 0.395190i | ||||
\(463\) | 32506.8 | − | 226090.i | 0.151640 | − | 1.05468i | −0.761832 | − | 0.647775i | \(-0.775700\pi\) |
0.913472 | − | 0.406902i | \(-0.133391\pi\) | |||||||
\(464\) | −74815.5 | + | 163823.i | −0.347500 | + | 0.760920i | ||||
\(465\) | −70721.3 | − | 240855.i | −0.327073 | − | 1.11391i | ||||
\(466\) | 800.869 | + | 1753.66i | 0.00368799 | + | 0.00807557i | ||||
\(467\) | 25081.5 | − | 21733.2i | 0.115006 | − | 0.0996530i | −0.595460 | − | 0.803385i | \(-0.703030\pi\) |
0.710465 | + | 0.703732i | \(0.248485\pi\) | |||||||
\(468\) | −320.704 | − | 2230.55i | −0.00146424 | − | 0.0101840i | ||||
\(469\) | 314607. | + | 92377.1i | 1.43029 | + | 0.419970i | ||||
\(470\) | −5625.91 | − | 4874.88i | −0.0254681 | − | 0.0220682i | ||||
\(471\) | 20700.5 | − | 32210.7i | 0.0933125 | − | 0.145197i | ||||
\(472\) | −69386.1 | − | 44591.7i | −0.311450 | − | 0.200157i | ||||
\(473\) | −60861.6 | + | 70238.0i | −0.272032 | + | 0.313942i | ||||
\(474\) | −12896.7 | + | 43922.3i | −0.0574015 | + | 0.195492i | ||||
\(475\) | −63934.3 | + | 9192.37i | −0.283365 | + | 0.0407418i | ||||
\(476\) | 70601.6 | + | 81478.6i | 0.311602 | + | 0.359608i | ||||
\(477\) | −136498. | + | 62336.5i | −0.599915 | + | 0.273972i | ||||
\(478\) | 99379.0 | − | 29180.3i | 0.434950 | − | 0.127713i | ||||
\(479\) | −298084. | − | 136130.i | −1.29917 | − | 0.593313i | −0.358787 | − | 0.933420i | \(-0.616809\pi\) |
−0.940387 | + | 0.340107i | \(0.889537\pi\) | |||||||
\(480\) | 111323. | + | 16005.8i | 0.483173 | + | 0.0694698i | ||||
\(481\) | 2632.93 | + | 4096.91i | 0.0113802 | + | 0.0177079i | ||||
\(482\) | 83320.2i | 0.358638i | ||||||||
\(483\) | −186221. | + | 318423.i | −0.798240 | + | 1.36493i | ||||
\(484\) | 237567. | 1.01414 | ||||||||
\(485\) | −129432. | + | 83180.8i | −0.550247 | + | 0.353622i | ||||
\(486\) | 13140.4 | − | 91393.6i | 0.0556335 | − | 0.386940i | ||||
\(487\) | −102732. | + | 224952.i | −0.433161 | + | 0.948490i | 0.559642 | + | 0.828734i | \(0.310938\pi\) |
−0.992803 | + | 0.119756i | \(0.961789\pi\) | |||||||
\(488\) | 51044.7 | + | 173842.i | 0.214344 | + | 0.729988i | ||||
\(489\) | 107326. | + | 235012.i | 0.448836 | + | 0.982814i | ||||
\(490\) | 11166.1 | − | 9675.52i | 0.0465062 | − | 0.0402979i | ||||
\(491\) | 37080.5 | + | 257900.i | 0.153809 | + | 1.06977i | 0.909759 | + | 0.415137i | \(0.136266\pi\) |
−0.755950 | + | 0.654630i | \(0.772825\pi\) | |||||||
\(492\) | 128368. | + | 37692.2i | 0.530305 | + | 0.155712i | ||||
\(493\) | 95763.1 | + | 82979.2i | 0.394008 | + | 0.341409i | ||||
\(494\) | 920.982 | − | 1433.08i | 0.00377396 | − | 0.00587240i | ||||
\(495\) | −99947.4 | − | 64232.3i | −0.407907 | − | 0.262146i | ||||
\(496\) | 224487. | − | 259072.i | 0.912489 | − | 1.05307i | ||||
\(497\) | −116580. | + | 397037.i | −0.471968 | + | 1.60738i | ||||
\(498\) | −19417.3 | + | 2791.78i | −0.0782941 | + | 0.0112570i | ||||
\(499\) | −263807. | − | 304449.i | −1.05946 | − | 1.22268i | −0.974049 | − | 0.226337i | \(-0.927325\pi\) |
−0.0854120 | − | 0.996346i | \(-0.527221\pi\) | |||||||
\(500\) | 18296.7 | − | 8355.84i | 0.0731870 | − | 0.0334234i | ||||
\(501\) | −171868. | + | 50465.0i | −0.684731 | + | 0.201055i | ||||
\(502\) | 110412. | + | 50423.7i | 0.438137 | + | 0.200091i | ||||
\(503\) | −338573. | − | 48679.4i | −1.33819 | − | 0.192402i | −0.564217 | − | 0.825626i | \(-0.690822\pi\) |
−0.773968 | + | 0.633224i | \(0.781731\pi\) | |||||||
\(504\) | 73603.2 | + | 114529.i | 0.289758 | + | 0.450872i | ||||
\(505\) | − | 32719.9i | − | 0.128301i | ||||||
\(506\) | −105505. | + | 53647.8i | −0.412070 | + | 0.209532i | ||||
\(507\) | −339317. | −1.32005 | ||||||||
\(508\) | −235147. | + | 151120.i | −0.911197 | + | 0.585591i | ||||
\(509\) | 57476.5 | − | 399758.i | 0.221848 | − | 1.54299i | −0.509194 | − | 0.860652i | \(-0.670056\pi\) |
0.731041 | − | 0.682333i | \(-0.239035\pi\) | |||||||
\(510\) | 8931.98 | − | 19558.3i | 0.0343406 | − | 0.0751954i | ||||
\(511\) | −121120. | − | 412497.i | −0.463847 | − | 1.57972i | ||||
\(512\) | 110269. | + | 241455.i | 0.420642 | + | 0.921078i | ||||
\(513\) | −96471.6 | + | 83593.1i | −0.366577 | + | 0.317640i | ||||
\(514\) | 2299.72 | + | 15994.9i | 0.00870460 | + | 0.0605418i | ||||
\(515\) | −18046.8 | − | 5299.03i | −0.0680435 | − | 0.0199794i | ||||
\(516\) | 68067.8 | + | 58981.1i | 0.255648 | + | 0.221520i | ||||
\(517\) | −50110.9 | + | 77974.0i | −0.187478 | + | 0.291722i | ||||
\(518\) | −117210. | − | 75326.2i | −0.436822 | − | 0.280728i | ||||
\(519\) | −258227. | + | 298010.i | −0.958666 | + | 1.10636i | ||||
\(520\) | −315.600 | + | 1074.84i | −0.00116716 | + | 0.00397498i | ||||
\(521\) | 104020. | − | 14955.9i | 0.383216 | − | 0.0550981i | 0.0519849 | − | 0.998648i | \(-0.483445\pi\) |
0.331231 | + | 0.943550i | \(0.392536\pi\) | |||||||
\(522\) | 49620.9 | + | 57265.6i | 0.182106 | + | 0.210161i | ||||
\(523\) | 269965. | − | 123289.i | 0.986972 | − | 0.450735i | 0.144517 | − | 0.989502i | \(-0.453837\pi\) |
0.842455 | + | 0.538767i | \(0.181110\pi\) | |||||||
\(524\) | 295261. | − | 86696.4i | 1.07533 | − | 0.315746i | ||||
\(525\) | 79287.3 | + | 36209.3i | 0.287664 | + | 0.131372i | ||||
\(526\) | −111625. | − | 16049.2i | −0.403450 | − | 0.0580073i | ||||
\(527\) | −130395. | − | 202899.i | −0.469506 | − | 0.730565i | ||||
\(528\) | − | 380507.i | − | 1.36488i | ||||||
\(529\) | −164860. | + | 226124.i | −0.589120 | + | 0.808046i | ||||
\(530\) | 35324.8 | 0.125756 | ||||||||
\(531\) | 108427. | − | 69682.0i | 0.384547 | − | 0.247133i | ||||
\(532\) | 62108.7 | − | 431976.i | 0.219447 | − | 1.52629i | ||||
\(533\) | −844.984 | + | 1850.26i | −0.00297436 | + | 0.00651295i | ||||
\(534\) | −27144.2 | − | 92444.5i | −0.0951906 | − | 0.324189i | ||||
\(535\) | −46499.0 | − | 101819.i | −0.162456 | − | 0.355729i | ||||
\(536\) | 162715. | − | 140993.i | 0.566367 | − | 0.490760i | ||||
\(537\) | 13690.6 | + | 95220.1i | 0.0474759 | + | 0.330202i | ||||
\(538\) | −60585.6 | − | 17789.5i | −0.209317 | − | 0.0614610i | ||||
\(539\) | −139031. | − | 120471.i | −0.478558 | − | 0.414673i | ||||
\(540\) | 21491.2 | − | 33441.0i | 0.0737011 | − | 0.114681i | ||||
\(541\) | 26037.1 | + | 16733.1i | 0.0889608 | + | 0.0571717i | 0.584365 | − | 0.811491i | \(-0.301344\pi\) |
−0.495404 | + | 0.868663i | \(0.664980\pi\) | |||||||
\(542\) | −2972.67 | + | 3430.64i | −0.0101192 | + | 0.0116782i | ||||
\(543\) | −116401. | + | 396425.i | −0.394782 | + | 1.34450i | ||||
\(544\) | 106961. | − | 15378.7i | 0.361433 | − | 0.0519662i | ||||
\(545\) | −94436.9 | − | 108986.i | −0.317943 | − | 0.366925i | ||||
\(546\) | −2091.07 | + | 954.960i | −0.00701429 | + | 0.00320332i | ||||
\(547\) | 428453. | − | 125805.i | 1.43195 | − | 0.420459i | 0.528420 | − | 0.848983i | \(-0.322785\pi\) |
0.903530 | + | 0.428524i | \(0.140966\pi\) | |||||||
\(548\) | −61177.0 | − | 27938.6i | −0.203717 | − | 0.0930344i | ||||
\(549\) | −280244. | − | 40293.0i | −0.929805 | − | 0.133686i | ||||
\(550\) | 15120.7 | + | 23528.3i | 0.0499858 | + | 0.0777795i | ||||
\(551\) | − | 512929.i | − | 1.68948i | ||||||
\(552\) | 109786. | + | 215908.i | 0.360305 | + | 0.708583i | ||||
\(553\) | −178301. | −0.583048 | ||||||||
\(554\) | −10930.0 | + | 7024.30i | −0.0356124 | + | 0.0228867i | ||||
\(555\) | 35411.2 | − | 246290.i | 0.114962 | − | 0.799578i | ||||
\(556\) | 110306. | − | 241537.i | 0.356821 | − | 0.781330i | ||||
\(557\) | −95168.3 | − | 324113.i | −0.306748 | − | 1.04469i | −0.958224 | − | 0.286019i | \(-0.907668\pi\) |
0.651476 | − | 0.758669i | \(-0.274150\pi\) | |||||||
\(558\) | −59914.4 | − | 131194.i | −0.192425 | − | 0.421353i | ||||
\(559\) | −1034.89 | + | 896.736i | −0.00331185 | + | 0.00286973i | ||||
\(560\) | 16940.1 | + | 117821.i | 0.0540183 | + | 0.375705i | ||||
\(561\) | −256872. | − | 75424.3i | −0.816188 | − | 0.239655i | ||||
\(562\) | 76782.9 | + | 66532.7i | 0.243104 | + | 0.210651i | ||||
\(563\) | 264816. | − | 412062.i | 0.835464 | − | 1.30001i | −0.116312 | − | 0.993213i | \(-0.537107\pi\) |
0.951776 | − | 0.306795i | \(-0.0992565\pi\) | |||||||
\(564\) | 75564.9 | + | 48562.6i | 0.237554 | + | 0.152666i | ||||
\(565\) | −176438. | + | 203621.i | −0.552709 | + | 0.637860i | ||||
\(566\) | 23733.8 | − | 80830.0i | 0.0740858 | − | 0.252313i | ||||
\(567\) | 453785. | − | 65244.5i | 1.41151 | − | 0.202945i | ||||
\(568\) | 177934. | + | 205347.i | 0.551522 | + | 0.636491i | ||||
\(569\) | 75631.4 | − | 34539.7i | 0.233603 | − | 0.106683i | −0.295175 | − | 0.955443i | \(-0.595378\pi\) |
0.528777 | + | 0.848761i | \(0.322651\pi\) | |||||||
\(570\) | −83511.1 | + | 24521.1i | −0.257036 | + | 0.0754727i | ||||
\(571\) | 253973. | + | 115986.i | 0.778961 | + | 0.355740i | 0.764890 | − | 0.644161i | \(-0.222793\pi\) |
0.0140717 | + | 0.999901i | \(0.495521\pi\) | |||||||
\(572\) | 6537.91 | + | 940.009i | 0.0199824 | + | 0.00287303i | ||||
\(573\) | 252166. | + | 392377.i | 0.768027 | + | 1.19507i | ||||
\(574\) | − | 58193.3i | − | 0.176624i | ||||||
\(575\) | 57080.4 | + | 33381.8i | 0.172644 | + | 0.100966i | ||||
\(576\) | −110172. | −0.332067 | ||||||||
\(577\) | −57475.9 | + | 36937.5i | −0.172637 | + | 0.110947i | −0.624106 | − | 0.781340i | \(-0.714537\pi\) |
0.451469 | + | 0.892287i | \(0.350900\pi\) | |||||||
\(578\) | −12129.2 | + | 84360.2i | −0.0363057 | + | 0.252512i | ||||
\(579\) | 201247. | − | 440669.i | 0.600304 | − | 1.31448i | ||||
\(580\) | 45001.3 | + | 153260.i | 0.133773 | + | 0.455590i | ||||
\(581\) | −31741.3 | − | 69503.8i | −0.0940314 | − | 0.205900i | ||||
\(582\) | −156681. | + | 135765.i | −0.462564 | + | 0.400814i | ||||
\(583\) | −62594.8 | − | 435357.i | −0.184163 | − | 1.28088i | ||||
\(584\) | −270859. | − | 79531.4i | −0.794178 | − | 0.233192i | ||||
\(585\) | −1322.95 | − | 1146.34i | −0.00386574 | − | 0.00334968i | ||||
\(586\) | 60472.4 | − | 94096.8i | 0.176101 | − | 0.274018i | ||||
\(587\) | −75165.3 | − | 48305.8i | −0.218143 | − | 0.140192i | 0.427006 | − | 0.904249i | \(-0.359568\pi\) |
−0.645149 | + | 0.764057i | \(0.723205\pi\) | |||||||
\(588\) | −116749. | + | 134735.i | −0.337674 | + | 0.389697i | ||||
\(589\) | −275060. | + | 936767.i | −0.792860 | + | 2.70023i | ||||
\(590\) | −30032.2 | + | 4317.99i | −0.0862748 | + | 0.0124044i | ||||
\(591\) | 191032. | + | 220463.i | 0.546931 | + | 0.631191i | ||||
\(592\) | 309090. | − | 141156.i | 0.881944 | − | 0.402770i | ||||
\(593\) | −307361. | + | 90249.5i | −0.874058 | + | 0.256646i | −0.687840 | − | 0.725862i | \(-0.741441\pi\) |
−0.186217 | + | 0.982509i | \(0.559623\pi\) | |||||||
\(594\) | 50277.5 | + | 22961.0i | 0.142495 | + | 0.0650755i | ||||
\(595\) | 82896.2 | + | 11918.7i | 0.234154 | + | 0.0336662i | ||||
\(596\) | −224419. | − | 349203.i | −0.631783 | − | 0.983073i | ||||
\(597\) | 182088.i | 0.510898i | ||||||||
\(598\) | −1651.18 | + | 561.173i | −0.00461735 | + | 0.00156926i | ||||
\(599\) | 74194.9 | 0.206786 | 0.103393 | − | 0.994641i | \(-0.467030\pi\) | ||||
0.103393 | + | 0.994641i | \(0.467030\pi\) | |||||||
\(600\) | 48149.0 | − | 30943.5i | 0.133747 | − | 0.0859540i | ||||
\(601\) | 2858.28 | − | 19879.8i | 0.00791328 | − | 0.0550381i | −0.985482 | − | 0.169779i | \(-0.945695\pi\) |
0.993395 | + | 0.114741i | \(0.0366038\pi\) | |||||||
\(602\) | 16274.4 | − | 35636.0i | 0.0449068 | − | 0.0983322i | ||||
\(603\) | 94787.8 | + | 322818.i | 0.260686 | + | 0.887816i | ||||
\(604\) | 170397. | + | 373117.i | 0.467076 | + | 1.02275i | ||||
\(605\) | 139469. | − | 120850.i | 0.381036 | − | 0.330169i | ||||
\(606\) | −6274.62 | − | 43641.0i | −0.0170861 | − | 0.118836i | ||||
\(607\) | 601945. | + | 176747.i | 1.63373 | + | 0.479705i | 0.964660 | − | 0.263497i | \(-0.0848759\pi\) |
0.669067 | + | 0.743202i | \(0.266694\pi\) | |||||||
\(608\) | −330585. | − | 286453.i | −0.894285 | − | 0.774902i | ||||
\(609\) | −374220. | + | 582297.i | −1.00900 | + | 1.57004i | ||||
\(610\) | 56069.4 | + | 36033.6i | 0.150684 | + | 0.0968385i | ||||
\(611\) | −894.322 | + | 1032.10i | −0.00239558 | + | 0.00276465i | ||||
\(612\) | −31166.7 | + | 106144.i | −0.0832125 | + | 0.283396i | ||||
\(613\) | 472476. | − | 67931.8i | 1.25736 | − | 0.180781i | 0.518755 | − | 0.854923i | \(-0.326396\pi\) |
0.738602 | + | 0.674142i | \(0.235486\pi\) | |||||||
\(614\) | −53860.3 | − | 62158.1i | −0.142867 | − | 0.164877i | ||||
\(615\) | 94534.8 | − | 43172.6i | 0.249943 | − | 0.114145i | ||||
\(616\) | −382875. | + | 112422.i | −1.00901 | + | 0.296272i | ||||
\(617\) | 294401. | + | 134449.i | 0.773338 | + | 0.353172i | 0.762684 | − | 0.646772i | \(-0.223881\pi\) |
0.0106542 | + | 0.999943i | \(0.496609\pi\) | |||||||
\(618\) | −25086.6 | − | 3606.91i | −0.0656848 | − | 0.00944405i | ||||
\(619\) | 210752. | + | 327936.i | 0.550034 | + | 0.855870i | 0.999295 | − | 0.0375304i | \(-0.0119491\pi\) |
−0.449261 | + | 0.893400i | \(0.648313\pi\) | |||||||
\(620\) | − | 304033.i | − | 0.790929i | ||||||
\(621\) | 130565. | − | 5488.88i | 0.338566 | − | 0.0142331i | ||||
\(622\) | −57181.0 | −0.147799 | ||||||||
\(623\) | 315703. | − | 202890.i | 0.813396 | − | 0.522738i | ||||
\(624\) | 797.875 | − | 5549.34i | 0.00204911 | − | 0.0142519i | ||||
\(625\) | 6490.86 | − | 14213.0i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | 15904.3 | + | 54165.1i | 0.0405851 | + | 0.138220i | ||||
\(627\) | 450187. | + | 985773.i | 1.14514 | + | 2.50750i | ||||
\(628\) | 35047.6 | − | 30368.9i | 0.0888667 | − | 0.0770034i | ||||
\(629\) | −34023.6 | − | 236639.i | −0.0859961 | − | 0.598116i | ||||
\(630\) | 48052.4 | + | 14109.5i | 0.121069 | + | 0.0355491i | ||||
\(631\) | 437466. | + | 379066.i | 1.09872 | + | 0.952042i | 0.999076 | − | 0.0429813i | \(-0.0136856\pi\) |
0.0996395 | + | 0.995024i | \(0.468231\pi\) | |||||||
\(632\) | −63297.4 | + | 98492.7i | −0.158472 | + | 0.246587i | ||||
\(633\) | 850445. | + | 546548.i | 2.12246 | + | 1.36402i | ||||
\(634\) | 154907. | − | 178772.i | 0.385384 | − | 0.444756i | ||||
\(635\) | −61173.3 | + | 208337.i | −0.151710 | + | 0.516677i | ||||
\(636\) | −421905. | + | 60660.8i | −1.04304 | + | 0.149966i | ||||
\(637\) | −1775.03 | − | 2048.49i | −0.00437447 | − | 0.00504841i | ||||
\(638\) | −202027. | + | 92262.6i | −0.496327 | + | 0.226665i | ||||
\(639\) | −407398. | + | 119623.i | −0.997740 | + | 0.292963i | ||||
\(640\) | 161337. | + | 73680.3i | 0.393890 | + | 0.179884i | ||||
\(641\) | −572794. | − | 82355.3i | −1.39406 | − | 0.200436i | −0.595987 | − | 0.802994i | \(-0.703239\pi\) |
−0.798075 | + | 0.602558i | \(0.794148\pi\) | |||||||
\(642\) | −81544.7 | − | 126886.i | −0.197845 | − | 0.307853i | ||||
\(643\) | − | 156555.i | − | 0.378657i | −0.981914 | − | 0.189329i | \(-0.939369\pi\) | ||
0.981914 | − | 0.189329i | \(-0.0606311\pi\) | |||||||
\(644\) | −325065. | + | 306501.i | −0.783787 | + | 0.739026i | ||||
\(645\) | 69964.2 | 0.168173 | ||||||||
\(646\) | −70350.9 | + | 45211.8i | −0.168579 | + | 0.108339i | ||||
\(647\) | 11979.4 | − | 83318.4i | 0.0286171 | − | 0.199036i | −0.970497 | − | 0.241112i | \(-0.922488\pi\) |
0.999114 | + | 0.0420756i | \(0.0133970\pi\) | |||||||
\(648\) | 125054. | − | 273830.i | 0.297816 | − | 0.652126i | ||||
\(649\) | 106433. | + | 362478.i | 0.252689 | + | 0.860581i | ||||
\(650\) | 171.186 | + | 374.844i | 0.000405173 | + | 0.000887206i | ||||
\(651\) | 995700. | − | 862779.i | 2.34945 | − | 2.03581i | ||||
\(652\) | 44532.9 | + | 309733.i | 0.104758 | + | 0.728606i | ||||
\(653\) | 443233. | + | 130145.i | 1.03946 | + | 0.305212i | 0.756550 | − | 0.653936i | \(-0.226884\pi\) |
0.282905 | + | 0.959148i | \(0.408702\pi\) | |||||||
\(654\) | −146857. | − | 127253.i | −0.343353 | − | 0.297517i | ||||
\(655\) | 129236. | − | 201096.i | 0.301233 | − | 0.468727i | ||||
\(656\) | 119394. | + | 76729.7i | 0.277443 | + | 0.178302i | ||||
\(657\) | 288880. | − | 333385.i | 0.669246 | − | 0.772352i | ||||
\(658\) | 11007.5 | − | 37488.1i | 0.0254236 | − | 0.0865849i | ||||
\(659\) | 7796.73 | − | 1121.00i | 0.0179532 | − | 0.00258128i | −0.133332 | − | 0.991071i | \(-0.542568\pi\) |
0.151286 | + | 0.988490i | \(0.451659\pi\) | |||||||
\(660\) | −220999. | − | 255047.i | −0.507345 | − | 0.585507i | ||||
\(661\) | −175496. | + | 80146.4i | −0.401666 | + | 0.183435i | −0.605997 | − | 0.795467i | \(-0.707225\pi\) |
0.204331 | + | 0.978902i | \(0.434498\pi\) | |||||||
\(662\) | 175442. | − | 51514.5i | 0.400330 | − | 0.117548i | ||||
\(663\) | −3588.08 | − | 1638.62i | −0.00816272 | − | 0.00372779i | ||||
\(664\) | −49661.8 | − | 7140.28i | −0.112638 | − | 0.0161949i | ||||
\(665\) | −183284. | − | 285195.i | −0.414458 | − | 0.644909i | ||||
\(666\) | − | 142964.i | − | 0.322312i | ||||||
\(667\) | −326898. | + | 410941.i | −0.734786 | + | 0.923693i | ||||
\(668\) | −216951. | −0.486193 | ||||||||
\(669\) | −101743. | + | 65386.4i | −0.227328 | + | 0.146095i | ||||
\(670\) | 11271.6 | − | 78395.6i | 0.0251093 | − | 0.174639i | ||||
\(671\) | 344739. | − | 754872.i | 0.765676 | − | 1.67660i | ||||
\(672\) | 166304. | + | 566379.i | 0.368268 | + | 1.25421i | ||||
\(673\) | −185736. | − | 406704.i | −0.410077 | − | 0.897942i | −0.996148 | − | 0.0876833i | \(-0.972054\pi\) |
0.586072 | − | 0.810259i | \(-0.300674\pi\) | |||||||
\(674\) | 120513. | − | 104426.i | 0.265287 | − | 0.229872i | ||||
\(675\) | −4394.55 | − | 30564.8i | −0.00964511 | − | 0.0670832i | ||||
\(676\) | −394326. | − | 115785.i | −0.862903 | − | 0.253371i | ||||
\(677\) | −317427. | − | 275052.i | −0.692575 | − | 0.600120i | 0.235783 | − | 0.971806i | \(-0.424234\pi\) |
−0.928359 | + | 0.371686i | \(0.878780\pi\) | |||||||
\(678\) | −196281. | + | 305419.i | −0.426991 | + | 0.664411i | ||||
\(679\) | −679326. | − | 436577.i | −1.47346 | − | 0.946936i | ||||
\(680\) | 36012.1 | − | 41560.2i | 0.0778809 | − | 0.0898794i | ||||
\(681\) | −90657.4 | + | 308751.i | −0.195483 | + | 0.665754i | ||||
\(682\) | 418440. | − | 60162.6i | 0.899631 | − | 0.129347i | ||||
\(683\) | −172699. | − | 199305.i | −0.370210 | − | 0.427245i | 0.539825 | − | 0.841777i | \(-0.318491\pi\) |
−0.910034 | + | 0.414533i | \(0.863945\pi\) | |||||||
\(684\) | 407340. | − | 186026.i | 0.870652 | − | 0.397613i | ||||
\(685\) | −50127.5 | + | 14718.8i | −0.106830 | + | 0.0313682i | ||||
\(686\) | −91939.4 | − | 41987.3i | −0.195368 | − | 0.0892216i | ||||
\(687\) | −277200. | − | 39855.4i | −0.587328 | − | 0.0844450i | ||||
\(688\) | 51655.1 | + | 80376.9i | 0.109128 | + | 0.169807i | ||||
\(689\) | − | 6480.52i | − | 0.0136512i | ||||||
\(690\) | 82533.9 | + | 33577.6i | 0.173354 | + | 0.0705264i | ||||
\(691\) | −408227. | −0.854959 | −0.427479 | − | 0.904025i | \(-0.640598\pi\) | ||||
−0.427479 | + | 0.904025i | \(0.640598\pi\) | |||||||
\(692\) | −401779. | + | 258208.i | −0.839026 | + | 0.539209i | ||||
\(693\) | 88742.6 | − | 617218.i | 0.184784 | − | 1.28520i | ||||
\(694\) | −63791.5 | + | 139684.i | −0.132448 | + | 0.290020i | ||||
\(695\) | −58112.2 | − | 197912.i | −0.120309 | − | 0.409734i | ||||
\(696\) | 188809. | + | 413434.i | 0.389766 | + | 0.853468i | ||||
\(697\) | 75464.7 | − | 65390.6i | 0.155338 | − | 0.134601i | ||||
\(698\) | 7577.36 | + | 52701.7i | 0.0155527 | + | 0.108172i | ||||
\(699\) | −17338.5 | − | 5091.04i | −0.0354860 | − | 0.0104196i | ||||
\(700\) | 79785.4 | + | 69134.4i | 0.162827 | + | 0.141091i | ||||
\(701\) | 73372.0 | − | 114169.i | 0.149312 | − | 0.232334i | −0.758538 | − | 0.651628i | \(-0.774086\pi\) |
0.907850 | + | 0.419295i | \(0.137723\pi\) | |||||||
\(702\) | 685.104 | + | 440.290i | 0.00139022 | + | 0.000893438i | ||||
\(703\) | −633747. | + | 731383.i | −1.28235 | + | 1.47991i | ||||
\(704\) | 90977.8 | − | 309842.i | 0.183565 | − | 0.625165i | ||||
\(705\) | 69065.6 | − | 9930.13i | 0.138958 | − | 0.0199791i | ||||
\(706\) | 110042. | + | 126995.i | 0.220774 | + | 0.254787i | ||||
\(707\) | 156212. | − | 71339.8i | 0.312519 | − | 0.142723i | ||||
\(708\) | 351278. | − | 103145.i | 0.700785 | − | 0.205769i | ||||
\(709\) | 443455. | + | 202519.i | 0.882180 | + | 0.402878i | 0.804397 | − | 0.594092i | \(-0.202489\pi\) |
0.0777831 | + | 0.996970i | \(0.475216\pi\) | |||||||
\(710\) | 98935.7 | + | 14224.8i | 0.196262 | + | 0.0282182i | ||||
\(711\) | −98912.7 | − | 153911.i | −0.195665 | − | 0.304461i | ||||
\(712\) | − | 246419.i | − | 0.486087i | ||||||
\(713\) | 817386. | − | 575205.i | 1.60786 | − | 1.13147i | ||||
\(714\) | 112850. | 0.221364 | ||||||||
\(715\) | 4316.39 | − | 2773.98i | 0.00844323 | − | 0.00542614i | ||||
\(716\) | −16581.7 | + | 115328.i | −0.0323447 | + | 0.224963i | ||||
\(717\) | −403297. | + | 883098.i | −0.784490 | + | 1.71779i | ||||
\(718\) | −32940.5 | − | 112185.i | −0.0638972 | − | 0.217614i | ||||
\(719\) | 92285.7 | + | 202078.i | 0.178516 | + | 0.390895i | 0.977644 | − | 0.210265i | \(-0.0674326\pi\) |
−0.799129 | + | 0.601160i | \(0.794705\pi\) | |||||||
\(720\) | −92306.6 | + | 79984.1i | −0.178061 | + | 0.154290i | ||||
\(721\) | −14049.1 | − | 97713.3i | −0.0270257 | − | 0.187968i | ||||
\(722\) | 166278. | + | 48823.5i | 0.318977 | + | 0.0936601i | ||||
\(723\) | −590226. | − | 511434.i | −1.12912 | − | 0.978392i | ||||
\(724\) | −270543. | + | 420973.i | −0.516130 | + | 0.803114i | ||||
\(725\) | 104382. | + | 67082.5i | 0.198587 | + | 0.127624i | ||||
\(726\) | 162844. | − | 187932.i | 0.308958 | − | 0.356557i | ||||
\(727\) | 172957. | − | 589038.i | 0.327243 | − | 1.11449i | −0.617472 | − | 0.786593i | \(-0.711843\pi\) |
0.944715 | − | 0.327894i | \(-0.106339\pi\) | |||||||
\(728\) | −5819.62 | + | 836.734i | −0.0109807 | + | 0.00157879i | ||||
\(729\) | 152344. | + | 175815.i | 0.286663 | + | 0.330826i | ||||
\(730\) | −94461.1 | + | 43138.9i | −0.177259 | + | 0.0809512i | ||||
\(731\) | 64499.7 | − | 18938.8i | 0.120704 | − | 0.0354420i | ||||
\(732\) | −731549. | − | 334087.i | −1.36528 | − | 0.623501i | ||||
\(733\) | 199195. | + | 28640.0i | 0.370741 | + | 0.0533046i | 0.325168 | − | 0.945656i | \(-0.394579\pi\) |
0.0455738 | + | 0.998961i | \(0.485488\pi\) | |||||||
\(734\) | −3465.47 | − | 5392.38i | −0.00643236 | − | 0.0100089i | ||||
\(735\) | 138489.i | 0.256355i | ||||||||
\(736\) | 82291.4 | + | 440184.i | 0.151914 | + | 0.812603i | ||||
\(737\) | −986151. | −1.81555 | ||||||||
\(738\) | 50232.9 | − | 32282.7i | 0.0922308 | − | 0.0592731i | ||||
\(739\) | −84268.4 | + | 586100.i | −0.154304 | + | 1.07321i | 0.754596 | + | 0.656190i | \(0.227833\pi\) |
−0.908899 | + | 0.417015i | \(0.863076\pi\) | |||||||
\(740\) | 125193. | − | 274134.i | 0.228621 | − | 0.500610i | ||||
\(741\) | 4498.52 | + | 15320.6i | 0.00819282 | + | 0.0279022i | ||||
\(742\) | 77019.2 | + | 168649.i | 0.139892 | + | 0.306320i | ||||
\(743\) | −736328. | + | 638032.i | −1.33381 | + | 1.15575i | −0.358844 | + | 0.933398i | \(0.616829\pi\) |
−0.974966 | + | 0.222355i | \(0.928626\pi\) | |||||||
\(744\) | −123118. | − | 856307.i | −0.222422 | − | 1.54698i | ||||
\(745\) | −309389. | − | 90844.9i | −0.557433 | − | 0.163677i | ||||
\(746\) | 43503.1 | + | 37695.6i | 0.0781704 | + | 0.0677350i | ||||
\(747\) | 42387.7 | − | 65956.6i | 0.0759625 | − | 0.118200i | ||||
\(748\) | −272778. | − | 175304.i | −0.487535 | − | 0.313320i | ||||
\(749\) | 384723. | − | 443994.i | 0.685779 | − | 0.791432i | ||||
\(750\) | 5931.74 | − | 20201.7i | 0.0105453 | − | 0.0359141i | ||||
\(751\) | 228870. | − | 32906.5i | 0.405797 | − | 0.0583448i | 0.0636058 | − | 0.997975i | \(-0.479740\pi\) |
0.342191 | + | 0.939630i | \(0.388831\pi\) | |||||||
\(752\) | 62399.7 | + | 72013.1i | 0.110344 | + | 0.127343i | ||||
\(753\) | −1.03492e6 | + | 472634.i | −1.82523 | + | 0.833556i | ||||
\(754\) | −3139.84 | + | 921.940i | −0.00552287 | + | 0.00162166i | ||||
\(755\) | 289839. | + | 132365.i | 0.508467 | + | 0.232209i | ||||
\(756\) | 206513. | + | 29692.0i | 0.361329 | + | 0.0519513i | ||||
\(757\) | −473115. | − | 736181.i | −0.825610 | − | 1.28467i | −0.956046 | − | 0.293218i | \(-0.905274\pi\) |
0.130436 | − | 0.991457i | \(-0.458362\pi\) | |||||||
\(758\) | 270682.i | 0.471108i | ||||||||
\(759\) | 267575. | − | 1.07668e6i | 0.464475 | − | 1.86897i | ||||
\(760\) | −222606. | −0.385398 | ||||||||
\(761\) | −679087. | + | 436423.i | −1.17262 | + | 0.753595i | −0.974015 | − | 0.226485i | \(-0.927276\pi\) |
−0.198602 | + | 0.980080i | \(0.563640\pi\) | |||||||
\(762\) | −41639.0 | + | 289606.i | −0.0717117 | + | 0.498766i | ||||
\(763\) | 314422. | − | 688487.i | 0.540087 | − | 1.18262i | ||||
\(764\) | 159156. | + | 542034.i | 0.272669 | + | 0.928624i | ||||
\(765\) | 35698.4 | + | 78168.5i | 0.0609994 | + | 0.133570i | ||||
\(766\) | −39376.3 | + | 34119.8i | −0.0671085 | + | 0.0581498i | ||||
\(767\) | 792.157 | + | 5509.58i | 0.00134654 | + | 0.00936542i | ||||
\(768\) | −104483. | − | 30679.0i | −0.177143 | − | 0.0520139i | ||||
\(769\) | −495901. | − | 429701.i | −0.838576 | − | 0.726630i | 0.125547 | − | 0.992088i | \(-0.459932\pi\) |
−0.964123 | + | 0.265457i | \(0.914477\pi\) | |||||||
\(770\) | −79361.5 | + | 123489.i | −0.133853 | + | 0.208279i | ||||
\(771\) | −127421. | − | 81888.7i | −0.214355 | − | 0.137757i | ||||
\(772\) | 384241. | − | 443437.i | 0.644716 | − | 0.744042i | ||||
\(773\) | −266161. | + | 906460.i | −0.445435 | + | 1.51701i | 0.364900 | + | 0.931047i | \(0.381103\pi\) |
−0.810335 | + | 0.585967i | \(0.800715\pi\) | |||||||
\(774\) | 39789.5 | − | 5720.86i | 0.0664181 | − | 0.00954948i | ||||
\(775\) | −154661. | − | 178489.i | −0.257501 | − | 0.297172i | ||||
\(776\) | −482325. | + | 220270.i | −0.800970 | + | 0.365791i | ||||
\(777\) | 1.25305e6 | − | 367929.i | 2.07552 | − | 0.609428i | ||||
\(778\) | −79421.1 | − | 36270.4i | −0.131213 | − | 0.0599229i | ||||
\(779\) | −400092. | − | 57524.5i | −0.659303 | − | 0.0947934i | ||||
\(780\) | −2688.27 | − | 4183.03i | −0.00441859 | − | 0.00687546i | ||||
\(781\) | − | 1.24453e6i | − | 2.04034i | ||||||
\(782\) | 85176.9 | + | 8613.73i | 0.139286 | + | 0.0140857i | ||||
\(783\) | 245214. | 0.399964 | ||||||||
\(784\) | −159100. | + | 102248.i | −0.258845 | + | 0.166349i | ||||
\(785\) | 5126.76 | − | 35657.4i | 0.00831962 | − | 0.0578642i | ||||
\(786\) | 133808. | − | 293000.i | 0.216590 | − | 0.474266i | ||||
\(787\) | 163965. | + | 558412.i | 0.264728 | + | 0.901582i | 0.979367 | + | 0.202088i | \(0.0647728\pi\) |
−0.714639 | + | 0.699494i | \(0.753409\pi\) | |||||||
\(788\) | 146774. | + | 321389.i | 0.236372 | + | 0.517582i | ||||
\(789\) | 798863. | − | 692219.i | 1.28327 | − | 1.11196i | ||||
\(790\) | 6129.33 | + | 42630.4i | 0.00982106 | + | 0.0683070i | ||||
\(791\) | −1.35682e6 | − | 398399.i | −2.16855 | − | 0.636745i | ||||
\(792\) | −309444. | − | 268135.i | −0.493323 | − | 0.427467i | ||||
\(793\) | 6610.56 | − | 10286.2i | 0.0105122 | − | 0.0163572i | ||||
\(794\) | 226389. | + | 145491.i | 0.359099 | + | 0.230779i | ||||
\(795\) | −216830. | + | 250235.i | −0.343072 | + | 0.395926i | ||||
\(796\) | −62133.7 | + | 211608.i | −0.0980621 | + | 0.333969i | ||||
\(797\) | −931796. | + | 133972.i | −1.46691 | + | 0.210910i | −0.829022 | − | 0.559216i | \(-0.811102\pi\) |
−0.637891 | + | 0.770127i | \(0.720193\pi\) | |||||||
\(798\) | −299150. | − | 345237.i | −0.469768 | − | 0.542141i | ||||
\(799\) | 60983.3 | − | 27850.1i | 0.0955250 | − | 0.0436248i | ||||
\(800\) | 101529. | − | 29811.6i | 0.158639 | − | 0.0465806i | ||||
\(801\) | 350272. | + | 159964.i | 0.545935 | + | 0.249320i | ||||
\(802\) | −195696. | − | 28136.8i | −0.304251 | − | 0.0437447i | ||||
\(803\) | 699044. | + | 1.08773e6i | 1.08411 | + | 1.68691i | ||||
\(804\) | 955681.i | 1.47843i | ||||||||
\(805\) | −34919.1 | + | 345298.i | −0.0538855 | + | 0.532846i | ||||
\(806\) | 6228.71 | 0.00958800 | ||||||||
\(807\) | 497903. | − | 319983.i | 0.764535 | − | 0.491337i | ||||
\(808\) | 16048.0 | − | 111617.i | 0.0245810 | − | 0.170964i | ||||
\(809\) | 275973. | − | 604296.i | 0.421667 | − | 0.923321i | −0.572940 | − | 0.819598i | \(-0.694197\pi\) |
0.994606 | − | 0.103723i | \(-0.0330757\pi\) | |||||||
\(810\) | −31198.8 | − | 106253.i | −0.0475519 | − | 0.161947i | ||||
\(811\) | 106683. | + | 233604.i | 0.162202 | + | 0.355172i | 0.973230 | − | 0.229835i | \(-0.0738188\pi\) |
−0.811028 | + | 0.585008i | \(0.801092\pi\) | |||||||
\(812\) | −633583. | + | 549003.i | −0.960929 | + | 0.832650i | ||||
\(813\) | −6055.34 | − | 42115.8i | −0.00916130 | − | 0.0637183i | ||||
\(814\) | 402064. | + | 118057.i | 0.606801 | + | 0.178173i | ||||
\(815\) | 183705. | + | 159181.i | 0.276571 | + | 0.239650i | ||||
\(816\) | −148797. | + | 231532.i | −0.223467 | + | 0.347721i | ||||
\(817\) | −228918. | − | 147117.i | −0.342954 | − | 0.220403i | ||||
\(818\) | 158688. | − | 183135.i | 0.237157 | − | 0.273694i | ||||
\(819\) | 2588.46 | − | 8815.47i | 0.00385898 | − | 0.0131425i | ||||
\(820\) | 124592. | − | 17913.6i | 0.185295 | − | 0.0266414i | ||||
\(821\) | 356598. | + | 411536.i | 0.529045 | + | 0.610551i | 0.955872 | − | 0.293783i | \(-0.0949142\pi\) |
−0.426827 | + | 0.904333i | \(0.640369\pi\) | |||||||
\(822\) | −64036.2 | + | 29244.3i | −0.0947724 | + | 0.0432811i | ||||
\(823\) | 423291. | − | 124289.i | 0.624941 | − | 0.183499i | 0.0460962 | − | 0.998937i | \(-0.485322\pi\) |
0.578845 | + | 0.815438i | \(0.303504\pi\) | |||||||
\(824\) | −58963.7 | − | 26927.8i | −0.0868421 | − | 0.0396595i | ||||
\(825\) | −259484. | − | 37308.2i | −0.381244 | − | 0.0548146i | ||||
\(826\) | −86094.8 | − | 133966.i | −0.126188 | − | 0.196352i | ||||
\(827\) | 1.10621e6i | 1.61743i | 0.588198 | + | 0.808717i | \(0.299837\pi\) | ||||
−0.588198 | + | 0.808717i | \(0.700163\pi\) | |||||||
\(828\) | −444904. | − | 110567.i | −0.648941 | − | 0.161274i | ||||
\(829\) | −693906. | −1.00970 | −0.504849 | − | 0.863208i | \(-0.668452\pi\) | ||||
−0.504849 | + | 0.863208i | \(0.668452\pi\) | |||||||
\(830\) | −15526.6 | + | 9978.37i | −0.0225383 | + | 0.0144845i | ||||
\(831\) | 17331.4 | − | 120543.i | 0.0250976 | − | 0.174558i | ||||
\(832\) | 1976.52 | − | 4327.98i | 0.00285532 | − | 0.00625229i | ||||
\(833\) | 37488.1 | + | 127673.i | 0.0540260 | + | 0.183996i | ||||
\(834\) | −115462. | − | 252826.i | −0.165999 | − | 0.363487i | ||||
\(835\) | −127365. | + | 110363.i | −0.182675 | + | 0.158288i | ||||
\(836\) | 186797. | + | 1.29920e6i | 0.267274 | + | 1.85893i | ||||
\(837\) | −447836. | − | 131497.i | −0.639246 | − | 0.187700i | ||||
\(838\) | 168872. | + | 146329.i | 0.240475 | + | 0.208373i | ||||
\(839\) | 531978. | − | 827775.i | 0.755736 | − | 1.17595i | −0.223791 | − | 0.974637i | \(-0.571843\pi\) |
0.979527 | − | 0.201311i | \(-0.0645202\pi\) | |||||||
\(840\) | 252711. | + | 162408.i | 0.358151 | + | 0.230169i | ||||
\(841\) | −182081. | + | 210133.i | −0.257438 | + | 0.297099i | ||||
\(842\) | −35823.5 | + | 122004.i | −0.0505294 | + | 0.172087i | ||||
\(843\) | −942613. | + | 135527.i | −1.32641 | + | 0.190709i | ||||
\(844\) | 801818. | + | 925347.i | 1.12562 | + | 1.29903i | ||||
\(845\) | −290396. | + | 132620.i | −0.406703 | + | 0.185735i | ||||
\(846\) | 38466.5 | − | 11294.8i | 0.0537454 | − | 0.0157811i | ||||
\(847\) | 881052. | + | 402363.i | 1.22810 | + | 0.560856i | ||||
\(848\) | −447564. | − | 64350.1i | −0.622392 | − | 0.0894864i | ||||
\(849\) | 426904. | + | 664275.i | 0.592263 | + | 0.921580i | ||||
\(850\) | − | 20229.5i | − | 0.0279993i | ||||||
\(851\) | 973858. | − | 182061.i | 1.34473 | − | 0.251395i | ||||
\(852\) | −1.20608e6 | −1.66148 | ||||||||
\(853\) | 363283. | − | 233468.i | 0.499283 | − | 0.320870i | −0.266646 | − | 0.963794i | \(-0.585916\pi\) |
0.765929 | + | 0.642925i | \(0.222279\pi\) | |||||||
\(854\) | −49783.6 | + | 346253.i | −0.0682607 | + | 0.474764i | ||||
\(855\) | 144506. | − | 316423.i | 0.197676 | − | 0.432849i | ||||
\(856\) | −108682. | − | 370138.i | −0.148324 | − | 0.505145i | ||||
\(857\) | −520684. | − | 1.14014e6i | −0.708945 | − | 1.55237i | −0.828777 | − | 0.559578i | \(-0.810963\pi\) |
0.119833 | − | 0.992794i | \(-0.461764\pi\) | |||||||
\(858\) | 5225.13 | − | 4527.60i | 0.00709778 | − | 0.00615026i | ||||
\(859\) | −6162.97 | − | 42864.4i | −0.00835225 | − | 0.0580912i | 0.985219 | − | 0.171299i | \(-0.0547965\pi\) |
−0.993571 | + | 0.113208i | \(0.963887\pi\) | |||||||
\(860\) | 81306.5 | + | 23873.7i | 0.109933 | + | 0.0322793i | ||||
\(861\) | 412232. | + | 357201.i | 0.556077 | + | 0.481844i | ||||
\(862\) | −104808. | + | 163085.i | −0.141053 | + | 0.219482i | ||||
\(863\) | 267820. | + | 172117.i | 0.359601 | + | 0.231101i | 0.707949 | − | 0.706264i | \(-0.249621\pi\) |
−0.348348 | + | 0.937365i | \(0.613257\pi\) | |||||||
\(864\) | 136943. | − | 158041.i | 0.183448 | − | 0.211711i | ||||
\(865\) | −104523. | + | 355971.i | −0.139694 | + | 0.475754i | ||||
\(866\) | −186093. | + | 26756.1i | −0.248138 | + | 0.0356768i | ||||
\(867\) | −523142. | − | 603739.i | −0.695956 | − | 0.803176i | ||||
\(868\) | 1.45152e6 | − | 662888.i | 1.92657 | − | 0.879835i | ||||
\(869\) | 514533. | − | 151080.i | 0.681355 | − | 0.200064i | ||||
\(870\) | 152087. | + | 69455.7i | 0.200934 | + | 0.0917633i | ||||
\(871\) | −14382.1 | − | 2067.83i | −0.0189577 | − | 0.00272571i | ||||
\(872\) | −268696. | − | 418099.i | −0.353369 | − | 0.549853i | ||||
\(873\) | − | 828591.i | − | 1.08721i | ||||||
\(874\) | −199440. | − | 283411.i | −0.261089 | − | 0.371017i | ||||
\(875\) | 82008.2 | 0.107113 | ||||||||
\(876\) | 1.05413e6 | − | 677445.i | 1.37368 | − | 0.882808i | ||||
\(877\) | 180593. | − | 1.25605e6i | 0.234802 | − | 1.63308i | −0.442070 | − | 0.896981i | \(-0.645756\pi\) |
0.676872 | − | 0.736101i | \(-0.263335\pi\) | |||||||
\(878\) | 108157. | − | 236831.i | 0.140303 | − | 0.307221i | ||||
\(879\) | 295376. | + | 1.00596e6i | 0.382294 | + | 1.30197i | ||||
\(880\) | −148718. | − | 325648.i | −0.192043 | − | 0.420516i | ||||
\(881\) | 1.08948e6 | − | 944039.i | 1.40368 | − | 1.21629i | 0.458938 | − | 0.888468i | \(-0.348230\pi\) |
0.944738 | − | 0.327825i | \(-0.106316\pi\) | |||||||
\(882\) | 11324.0 | + | 78760.4i | 0.0145567 | + | 0.101244i | ||||
\(883\) | −146440. | − | 42998.6i | −0.187818 | − | 0.0551485i | 0.186471 | − | 0.982461i | \(-0.440295\pi\) |
−0.374289 | + | 0.927312i | \(0.622113\pi\) | |||||||
\(884\) | −3610.62 | − | 3128.62i | −0.00462037 | − | 0.00400358i | ||||
\(885\) | 153755. | − | 239248.i | 0.196311 | − | 0.305465i | ||||
\(886\) | 90535.0 | + | 58183.3i | 0.115332 | + | 0.0741192i | ||||
\(887\) | −329629. | + | 380412.i | −0.418965 | + | 0.483512i | −0.925521 | − | 0.378695i | \(-0.876373\pi\) |
0.506556 | + | 0.862207i | \(0.330918\pi\) | |||||||
\(888\) | 241594. | − | 822794.i | 0.306380 | − | 1.04344i | ||||
\(889\) | −1.12803e6 | + | 162186.i | −1.42730 | + | 0.205215i | ||||
\(890\) | −59361.9 | − | 68507.3i | −0.0749425 | − | 0.0864882i | ||||
\(891\) | −1.25422e6 | + | 572785.i | −1.57987 | + | 0.721500i | ||||
\(892\) | −140549. | + | 41269.0i | −0.176644 | + | 0.0518673i | ||||
\(893\) | −246858. | − | 112736.i | −0.309560 | − | 0.141371i | ||||
\(894\) | −430076. | − | 61835.6i | −0.538109 | − | 0.0773684i | ||||
\(895\) | 48932.8 | + | 76141.0i | 0.0610878 | + | 0.0950544i | ||||
\(896\) | 930908.i | 1.15955i | ||||||||
\(897\) | 6160.00 | − | 15141.3i | 0.00765589 | − | 0.0188182i | ||||
\(898\) | 65197.5 | 0.0808497 | ||||||||
\(899\) | 1.57776e6 | − | 1.01396e6i | 1.95218 | − | 1.25459i | ||||
\(900\) | −15416.4 | + | 107224.i | −0.0190326 | + | 0.132375i | ||||
\(901\) | −132158. | + | 289385.i | −0.162796 | + | 0.356473i | ||||
\(902\) | 49309.0 | + | 167931.i | 0.0606057 | + | 0.206404i | ||||
\(903\) | 152544. | + | 334025.i | 0.187077 | + | 0.409641i | ||||
\(904\) | −701749. | + | 608069.i | −0.858707 | + | 0.744074i | ||||
\(905\) | 55320.9 | + | 384766.i | 0.0675449 | + | 0.469785i | ||||
\(906\) | 411963. | + | 120963.i | 0.501882 | + | 0.147366i | ||||
\(907\) | 708350. | + | 613789.i | 0.861060 | + | 0.746112i | 0.968741 | − | 0.248073i | \(-0.0797973\pi\) |
−0.107682 | + | 0.994185i | \(0.534343\pi\) | |||||||
\(908\) | −210709. | + | 327870.i | −0.255571 | + | 0.397676i | ||||
\(909\) | 148240. | + | 95267.9i | 0.179406 | + | 0.115297i | ||||
\(910\) | −1416.35 | + | 1634.56i | −0.00171037 | + | 0.00197387i | ||||
\(911\) | −128688. | + | 438271.i | −0.155061 | + | 0.528088i | −0.999977 | − | 0.00681093i | \(-0.997832\pi\) |
0.844916 | + | 0.534899i | \(0.179650\pi\) | |||||||
\(912\) | 1.10275e6 | − | 158552.i | 1.32583 | − | 0.190626i | ||||
\(913\) | 150490. | + | 173675.i | 0.180537 | + | 0.208351i | ||||
\(914\) | −305644. | + | 139583.i | −0.365867 | + | 0.167086i | ||||
\(915\) | −599420. | + | 176006.i | −0.715960 | + | 0.210225i | ||||
\(916\) | −308539. | − | 140905.i | −0.367722 | − | 0.167933i | ||||
\(917\) | 1.24185e6 | + | 178552.i | 1.47683 | + | 0.212337i | ||||
\(918\) | −21614.2 | − | 33632.3i | −0.0256480 | − | 0.0399090i | ||||
\(919\) | − | 48438.2i | − | 0.0573531i | −0.999589 | − | 0.0286765i | \(-0.990871\pi\) | ||
0.999589 | − | 0.0286765i | \(-0.00912928\pi\) | |||||||
\(920\) | 178344. | + | 141871.i | 0.210709 | + | 0.167616i | ||||
\(921\) | 770922. | 0.908848 | ||||||||
\(922\) | 200485. | − | 128844.i | 0.235841 | − | 0.151566i | ||||
\(923\) | 2609.62 | − | 18150.3i | 0.00306319 | − | 0.0213049i | ||||
\(924\) | 735803. | − | 1.61118e6i | 0.861822 | − | 1.88713i | ||||
\(925\) | −65954.8 | − | 224622.i | −0.0770838 | − | 0.262523i | ||||
\(926\) | −120296. | − | 263412.i | −0.140291 | − | 0.307194i | ||||
\(927\) | 76553.2 | − | 66333.7i | 0.0890848 | − | 0.0771924i | ||||
\(928\) | 119585. | + | 831735.i | 0.138862 | + | 0.965804i | ||||
\(929\) | −903199. | − | 265203.i | −1.04653 | − | 0.307289i | −0.287116 | − | 0.957896i | \(-0.592697\pi\) |
−0.759415 | + | 0.650606i | \(0.774515\pi\) | |||||||
\(930\) | −240512. | − | 208405.i | −0.278080 | − | 0.240958i | ||||
\(931\) | 291207. | − | 453127.i | 0.335971 | − | 0.522781i | ||||
\(932\) | −18412.1 | − | 11832.8i | −0.0211969 | − | 0.0136224i | ||||
\(933\) | 350987. | − | 405060.i | 0.403206 | − | 0.465325i | ||||
\(934\) | 11853.8 | − | 40370.3i | 0.0135882 | − | 0.0462773i | ||||
\(935\) | −249316. | + | 35846.3i | −0.285186 | + | 0.0410035i | ||||
\(936\) | −3950.71 | − | 4559.36i | −0.00450945 | − | 0.00520418i | ||||
\(937\) | 402134. | − | 183649.i | 0.458028 | − | 0.209174i | −0.173020 | − | 0.984918i | \(-0.555352\pi\) |
0.631048 | + | 0.775744i | \(0.282625\pi\) | |||||||
\(938\) | 398854. | − | 117114.i | 0.453324 | − | 0.133108i | ||||
\(939\) | −481320. | − | 219812.i | −0.545887 | − | 0.249298i | ||||
\(940\) | 83650.7 | + | 12027.2i | 0.0946703 | + | 0.0136115i | ||||
\(941\) | 894807. | + | 1.39235e6i | 1.01053 | + | 1.57242i | 0.804569 | + | 0.593859i | \(0.202396\pi\) |
0.205962 | + | 0.978560i | \(0.433968\pi\) | |||||||
\(942\) | − | 48542.0i | − | 0.0547036i | ||||||
\(943\) | 283878. | + | 301072.i | 0.319234 | + | 0.338569i | ||||
\(944\) | 388374. | 0.435819 | ||||||||
\(945\) | 136342. | − | 87621.5i | 0.152674 | − | 0.0981176i | ||||
\(946\) | −16768.3 | + | 116626.i | −0.0187373 | + | 0.130321i | ||||
\(947\) | −31918.1 | + | 69890.9i | −0.0355907 | + | 0.0779328i | −0.926592 | − | 0.376067i | \(-0.877276\pi\) |
0.891002 | + | 0.454000i | \(0.150003\pi\) | |||||||
\(948\) | −146412. | − | 498635.i | −0.162915 | − | 0.554838i | ||||
\(949\) | 7914.07 | + | 17329.4i | 0.00878754 | + | 0.0192420i | ||||
\(950\) | −61887.1 | + | 53625.5i | −0.0685730 | + | 0.0594188i | ||||
\(951\) | 315546. | + | 2.19467e6i | 0.348901 | + | 2.42666i | ||||
\(952\) | 276936. | + | 81315.7i | 0.305566 | + | 0.0897223i | ||||
\(953\) | 605315. | + | 524509.i | 0.666493 | + | 0.577520i | 0.921005 | − | 0.389550i | \(-0.127369\pi\) |
−0.254512 | + | 0.967070i | \(0.581915\pi\) | |||||||
\(954\) | −102852. | + | 160041.i | −0.113010 | + | 0.175847i | ||||
\(955\) | 369168. | + | 237250.i | 0.404778 | + | 0.260135i | ||||
\(956\) | −770016. | + | 888646.i | −0.842528 | + | 0.972329i | ||||
\(957\) | 586504. | − | 1.99745e6i | 0.640394 | − | 2.18098i | ||||
\(958\) | −411220. | + | 59124.5i | −0.448067 | + | 0.0644223i | ||||
\(959\) | −179565. | − | 207229.i | −0.195247 | − | 0.225327i | ||||
\(960\) | −221129. | + | 100986.i | −0.239940 | + | 0.109577i | ||||
\(961\) | −2.53910e6 | + | 745547.i | −2.74937 | + | 0.807288i | ||||
\(962\) | 5616.18 | + | 2564.82i | 0.00606863 | + | 0.00277145i | ||||
\(963\) | 596684. | + | 85790.2i | 0.643416 | + | 0.0925092i | ||||
\(964\) | −511396. | − | 795748.i | −0.550305 | − | 0.856291i | ||||
\(965\) | − | 455791.i | − | 0.489454i | ||||||
\(966\) | 19642.7 | + | 467245.i | 0.0210498 | + | 0.500715i | ||||
\(967\) | −1.29256e6 | −1.38229 | −0.691144 | − | 0.722717i | \(-0.742893\pi\) | ||||
−0.691144 | + | 0.722717i | \(0.742893\pi\) | |||||||
\(968\) | 535039. | − | 343848.i | 0.570998 | − | 0.366958i | ||||
\(969\) | 111553. | − | 775871.i | 0.118805 | − | 0.826308i | ||||
\(970\) | −81029.2 | + | 177429.i | −0.0861188 | + | 0.188574i | ||||
\(971\) | −437722. | − | 1.49075e6i | −0.464259 | − | 1.58112i | −0.775858 | − | 0.630907i | \(-0.782683\pi\) |
0.311600 | − | 0.950213i | \(-0.399135\pi\) | |||||||
\(972\) | 435451. | + | 953505.i | 0.460900 | + | 1.00923i | ||||
\(973\) | 818173. | − | 708951.i | 0.864211 | − | 0.748843i | ||||
\(974\) | 44619.0 | + | 310332.i | 0.0470330 | + | 0.327121i | ||||
\(975\) | −3706.10 | − | 1088.21i | −0.00389860 | − | 0.00114473i | ||||
\(976\) | −644757. | − | 558685.i | −0.676856 | − | 0.586499i | ||||
\(977\) | −546188. | + | 849885.i | −0.572207 | + | 0.890371i | −0.999908 | − | 0.0135490i | \(-0.995687\pi\) |
0.427702 | + | 0.903920i | \(0.359323\pi\) | |||||||
\(978\) | 275547. | + | 177083.i | 0.288083 | + | 0.185140i | ||||
\(979\) | −739123. | + | 852993.i | −0.771172 | + | 0.889980i | ||||
\(980\) | −47256.4 | + | 160940.i | −0.0492049 | + | 0.167577i | ||||
\(981\) | 768733. | − | 110527.i | 0.798799 | − | 0.114850i | ||||
\(982\) | 216316. | + | 249642.i | 0.224319 | + | 0.258878i | ||||
\(983\) | 241812. | − | 110432.i | 0.250248 | − | 0.114284i | −0.286342 | − | 0.958127i | \(-0.592439\pi\) |
0.536590 | + | 0.843843i | \(0.319712\pi\) | |||||||
\(984\) | 343659. | − | 100907.i | 0.354926 | − | 0.104216i | ||||
\(985\) | 249657. | + | 114014.i | 0.257319 | + | 0.117513i | ||||
\(986\) | 159009. | + | 22862.1i | 0.163557 | + | 0.0235159i | ||||
\(987\) | 197994. | + | 308084.i | 0.203244 | + | 0.316253i | ||||
\(988\) | 19339.3i | 0.0198119i | ||||||||
\(989\) | 89641.0 | + | 263758.i | 0.0916462 | + | 0.269658i | ||||
\(990\) | −150622. | −0.153681 | ||||||||
\(991\) | 1.17328e6 | − | 754019.i | 1.19468 | − | 0.767777i | 0.216655 | − | 0.976248i | \(-0.430485\pi\) |
0.978028 | + | 0.208471i | \(0.0668488\pi\) | |||||||
\(992\) | 227620. | − | 1.58313e6i | 0.231306 | − | 1.60877i | ||||
\(993\) | −711976. | + | 1.55901e6i | −0.722049 | + | 1.58107i | ||||
\(994\) | 147799. | + | 503356.i | 0.149588 | + | 0.509451i | ||||
\(995\) | 71167.9 | + | 155836.i | 0.0718850 | + | 0.157406i | ||||
\(996\) | 168309. | − | 145840.i | 0.169663 | − | 0.147014i | ||||
\(997\) | −251398. | − | 1.74851e6i | −0.252913 | − | 1.75905i | −0.580529 | − | 0.814240i | \(-0.697154\pi\) |
0.327615 | − | 0.944811i | \(-0.393755\pi\) | |||||||
\(998\) | −490031. | − | 143886.i | −0.491997 | − | 0.144463i | ||||
\(999\) | −349649. | − | 302972.i | −0.350349 | − | 0.303579i |
(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 | 115.5.h.a.11.18 | ✓ | 320 | |
23.21 | odd | 22 | inner | 115.5.h.a.21.18 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.5.h.a.11.18 | ✓ | 320 | 1.1 | even | 1 | trivial | |
115.5.h.a.21.18 | yes | 320 | 23.21 | odd | 22 | inner |