Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,6,Mod(31,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.31");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.g (of order \(5\), degree \(4\), 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: | \(24.0575729719\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 91.4 | ||
Character | \(\chi\) | \(=\) | 150.91 |
Dual form | 150.6.g.c.61.4 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.23607 | + | 2.35114i | 0.572061 | + | 0.415627i | ||||
\(3\) | 2.78115 | + | 8.55951i | 0.178411 | + | 0.549093i | ||||
\(4\) | 4.94427 | + | 15.2169i | 0.154508 | + | 0.475528i | ||||
\(5\) | 6.45828 | + | 55.5274i | 0.115529 | + | 0.993304i | ||||
\(6\) | −11.1246 | + | 34.2380i | −0.126156 | + | 0.388267i | ||||
\(7\) | −133.388 | −1.02890 | −0.514450 | − | 0.857521i | \(-0.672004\pi\) | ||||
−0.514450 | + | 0.857521i | \(0.672004\pi\) | |||||||
\(8\) | −19.7771 | + | 60.8676i | −0.109254 | + | 0.336249i | ||||
\(9\) | −65.5304 | + | 47.6106i | −0.269672 | + | 0.195928i | ||||
\(10\) | −109.653 | + | 194.875i | −0.346754 | + | 0.616248i | ||||
\(11\) | −411.738 | − | 299.145i | −1.02598 | − | 0.745418i | −0.0584797 | − | 0.998289i | \(-0.518625\pi\) |
−0.967500 | + | 0.252871i | \(0.918625\pi\) | |||||||
\(12\) | −116.498 | + | 84.6411i | −0.233543 | + | 0.169679i | ||||
\(13\) | 50.9302 | − | 37.0030i | 0.0835829 | − | 0.0607265i | −0.545209 | − | 0.838300i | \(-0.683550\pi\) |
0.628792 | + | 0.777574i | \(0.283550\pi\) | |||||||
\(14\) | −431.654 | − | 313.615i | −0.588594 | − | 0.427638i | ||||
\(15\) | −457.326 | + | 209.710i | −0.524804 | + | 0.240653i | ||||
\(16\) | −207.108 | + | 150.473i | −0.202254 | + | 0.146946i | ||||
\(17\) | −76.3130 | + | 234.867i | −0.0640436 | + | 0.197106i | −0.977958 | − | 0.208800i | \(-0.933044\pi\) |
0.913915 | + | 0.405906i | \(0.133044\pi\) | |||||||
\(18\) | −324.000 | −0.235702 | ||||||||
\(19\) | 456.592 | − | 1405.25i | 0.290164 | − | 0.893034i | −0.694638 | − | 0.719359i | \(-0.744436\pi\) |
0.984803 | − | 0.173675i | \(-0.0555644\pi\) | |||||||
\(20\) | −813.023 | + | 372.818i | −0.454494 | + | 0.208411i | ||||
\(21\) | −370.974 | − | 1141.74i | −0.183567 | − | 0.564961i | ||||
\(22\) | −629.079 | − | 1936.11i | −0.277108 | − | 0.852850i | ||||
\(23\) | 1557.29 | + | 1131.44i | 0.613832 | + | 0.445975i | 0.850762 | − | 0.525552i | \(-0.176141\pi\) |
−0.236930 | + | 0.971527i | \(0.576141\pi\) | |||||||
\(24\) | −576.000 | −0.204124 | ||||||||
\(25\) | −3041.58 | + | 717.223i | −0.973306 | + | 0.229511i | ||||
\(26\) | 251.813 | 0.0730541 | ||||||||
\(27\) | −589.773 | − | 428.495i | −0.155695 | − | 0.113119i | ||||
\(28\) | −659.509 | − | 2029.76i | −0.158974 | − | 0.489271i | ||||
\(29\) | 1193.49 | + | 3673.20i | 0.263527 | + | 0.811053i | 0.992029 | + | 0.126009i | \(0.0402169\pi\) |
−0.728502 | + | 0.685044i | \(0.759783\pi\) | |||||||
\(30\) | −1972.99 | − | 396.602i | −0.400242 | − | 0.0804547i | ||||
\(31\) | 1353.32 | − | 4165.10i | 0.252928 | − | 0.778432i | −0.741303 | − | 0.671171i | \(-0.765792\pi\) |
0.994231 | − | 0.107262i | \(-0.0342082\pi\) | |||||||
\(32\) | −1024.00 | −0.176777 | ||||||||
\(33\) | 1415.43 | − | 4356.24i | 0.226257 | − | 0.696349i | ||||
\(34\) | −799.160 | + | 580.624i | −0.118559 | + | 0.0861385i | ||||
\(35\) | −861.460 | − | 7406.71i | −0.118868 | − | 1.02201i | ||||
\(36\) | −1048.49 | − | 761.770i | −0.134836 | − | 0.0979642i | ||||
\(37\) | −5790.31 | + | 4206.91i | −0.695341 | + | 0.505195i | −0.878411 | − | 0.477905i | \(-0.841396\pi\) |
0.183071 | + | 0.983100i | \(0.441396\pi\) | |||||||
\(38\) | 4781.49 | − | 3473.96i | 0.537161 | − | 0.390270i | ||||
\(39\) | 458.372 | + | 333.027i | 0.0482566 | + | 0.0350605i | ||||
\(40\) | −3507.55 | − | 705.070i | −0.346620 | − | 0.0696758i | ||||
\(41\) | −13206.3 | + | 9594.93i | −1.22693 | + | 0.891420i | −0.996657 | − | 0.0817051i | \(-0.973963\pi\) |
−0.230278 | + | 0.973125i | \(0.573963\pi\) | |||||||
\(42\) | 1483.89 | − | 4566.96i | 0.129802 | − | 0.399488i | ||||
\(43\) | −6631.14 | −0.546912 | −0.273456 | − | 0.961885i | \(-0.588167\pi\) | ||||
−0.273456 | + | 0.961885i | \(0.588167\pi\) | |||||||
\(44\) | 2516.32 | − | 7744.42i | 0.195945 | − | 0.603056i | ||||
\(45\) | −3066.91 | − | 3331.25i | −0.225772 | − | 0.245231i | ||||
\(46\) | 2379.33 | + | 7322.81i | 0.165790 | + | 0.510250i | ||||
\(47\) | −2693.42 | − | 8289.50i | −0.177852 | − | 0.547373i | 0.821900 | − | 0.569632i | \(-0.192914\pi\) |
−0.999752 | + | 0.0222588i | \(0.992914\pi\) | |||||||
\(48\) | −1863.98 | − | 1354.26i | −0.116772 | − | 0.0848395i | ||||
\(49\) | 985.466 | 0.0586343 | ||||||||
\(50\) | −11529.1 | − | 4830.20i | −0.652182 | − | 0.273238i | ||||
\(51\) | −2222.59 | −0.119656 | ||||||||
\(52\) | 814.884 | + | 592.048i | 0.0417914 | + | 0.0303633i | ||||
\(53\) | 702.401 | + | 2161.77i | 0.0343475 | + | 0.105711i | 0.966760 | − | 0.255684i | \(-0.0823007\pi\) |
−0.932413 | + | 0.361395i | \(0.882301\pi\) | |||||||
\(54\) | −901.094 | − | 2773.28i | −0.0420519 | − | 0.129422i | ||||
\(55\) | 13951.6 | − | 24794.7i | 0.621896 | − | 1.10523i | ||||
\(56\) | 2638.03 | − | 8119.03i | 0.112411 | − | 0.345967i | ||||
\(57\) | 13298.1 | 0.542127 | ||||||||
\(58\) | −4773.98 | + | 14692.8i | −0.186342 | + | 0.573501i | ||||
\(59\) | −4752.66 | + | 3453.01i | −0.177749 | + | 0.129142i | −0.673102 | − | 0.739550i | \(-0.735039\pi\) |
0.495353 | + | 0.868692i | \(0.335039\pi\) | |||||||
\(60\) | −5452.28 | − | 5922.22i | −0.195524 | − | 0.212376i | ||||
\(61\) | −2159.56 | − | 1569.01i | −0.0743087 | − | 0.0539884i | 0.550011 | − | 0.835158i | \(-0.314624\pi\) |
−0.624319 | + | 0.781169i | \(0.714624\pi\) | |||||||
\(62\) | 14172.2 | − | 10296.7i | 0.468228 | − | 0.340187i | ||||
\(63\) | 8740.99 | − | 6350.70i | 0.277466 | − | 0.201591i | ||||
\(64\) | −3313.73 | − | 2407.57i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 2383.60 | + | 2589.05i | 0.0699761 | + | 0.0760075i | ||||
\(66\) | 14822.6 | − | 10769.2i | 0.418854 | − | 0.304316i | ||||
\(67\) | −17045.7 | + | 52461.2i | −0.463903 | + | 1.42775i | 0.396454 | + | 0.918055i | \(0.370241\pi\) |
−0.860357 | + | 0.509692i | \(0.829759\pi\) | |||||||
\(68\) | −3951.26 | −0.103625 | ||||||||
\(69\) | −5353.48 | + | 16476.3i | −0.135367 | + | 0.416618i | ||||
\(70\) | 14626.5 | − | 25994.0i | 0.356775 | − | 0.634057i | ||||
\(71\) | 4654.81 | + | 14326.0i | 0.109586 | + | 0.337272i | 0.990779 | − | 0.135484i | \(-0.0432590\pi\) |
−0.881193 | + | 0.472756i | \(0.843259\pi\) | |||||||
\(72\) | −1601.94 | − | 4930.28i | −0.0364180 | − | 0.112083i | ||||
\(73\) | −33567.6 | − | 24388.3i | −0.737248 | − | 0.535642i | 0.154600 | − | 0.987977i | \(-0.450591\pi\) |
−0.891848 | + | 0.452335i | \(0.850591\pi\) | |||||||
\(74\) | −28628.9 | −0.607750 | ||||||||
\(75\) | −14598.2 | − | 24039.7i | −0.299672 | − | 0.493488i | ||||
\(76\) | 23641.0 | 0.469496 | ||||||||
\(77\) | 54921.0 | + | 39902.5i | 1.05563 | + | 0.766960i | ||||
\(78\) | 700.330 | + | 2155.39i | 0.0130337 | + | 0.0401135i | ||||
\(79\) | −3723.52 | − | 11459.8i | −0.0671252 | − | 0.206590i | 0.911868 | − | 0.410484i | \(-0.134640\pi\) |
−0.978993 | + | 0.203894i | \(0.934640\pi\) | |||||||
\(80\) | −9692.94 | − | 10528.4i | −0.169329 | − | 0.183923i | ||||
\(81\) | 2027.46 | − | 6239.88i | 0.0343352 | − | 0.105673i | ||||
\(82\) | −65295.5 | −1.07238 | ||||||||
\(83\) | −21738.7 | + | 66904.9i | −0.346369 | + | 1.06601i | 0.614478 | + | 0.788934i | \(0.289367\pi\) |
−0.960847 | + | 0.277079i | \(0.910633\pi\) | |||||||
\(84\) | 15539.5 | − | 11290.1i | 0.240292 | − | 0.174583i | ||||
\(85\) | −13534.4 | − | 2720.62i | −0.203185 | − | 0.0408433i | ||||
\(86\) | −21458.8 | − | 15590.8i | −0.312867 | − | 0.227311i | ||||
\(87\) | −28121.5 | + | 20431.4i | −0.398327 | + | 0.289402i | ||||
\(88\) | 26351.2 | − | 19145.3i | 0.362739 | − | 0.263545i | ||||
\(89\) | −45037.5 | − | 32721.7i | −0.602697 | − | 0.437885i | 0.244138 | − | 0.969741i | \(-0.421495\pi\) |
−0.846835 | + | 0.531855i | \(0.821495\pi\) | |||||||
\(90\) | −2092.48 | − | 17990.9i | −0.0272305 | − | 0.234124i | ||||
\(91\) | −6793.50 | + | 4935.77i | −0.0859984 | + | 0.0624815i | ||||
\(92\) | −9517.30 | + | 29291.2i | −0.117232 | + | 0.360802i | ||||
\(93\) | 39415.0 | 0.472557 | ||||||||
\(94\) | 10773.7 | − | 33158.0i | 0.125761 | − | 0.387051i | ||||
\(95\) | 80978.4 | + | 16277.9i | 0.920577 | + | 0.185050i | ||||
\(96\) | −2847.90 | − | 8764.94i | −0.0315389 | − | 0.0970668i | ||||
\(97\) | 53515.6 | + | 164704.i | 0.577499 | + | 1.77736i | 0.627507 | + | 0.778611i | \(0.284075\pi\) |
−0.0500083 | + | 0.998749i | \(0.515925\pi\) | |||||||
\(98\) | 3189.04 | + | 2316.97i | 0.0335424 | + | 0.0243700i | ||||
\(99\) | 41223.8 | 0.422727 | ||||||||
\(100\) | −25952.3 | − | 42737.3i | −0.259523 | − | 0.427373i | ||||
\(101\) | 63550.4 | 0.619891 | 0.309945 | − | 0.950754i | \(-0.399689\pi\) | ||||
0.309945 | + | 0.950754i | \(0.399689\pi\) | |||||||
\(102\) | −7192.44 | − | 5225.61i | −0.0684503 | − | 0.0497321i | ||||
\(103\) | 17504.5 | + | 53873.3i | 0.162576 | + | 0.500358i | 0.998849 | − | 0.0479550i | \(-0.0152704\pi\) |
−0.836273 | + | 0.548313i | \(0.815270\pi\) | |||||||
\(104\) | 1245.03 | + | 3831.81i | 0.0112875 | + | 0.0347393i | ||||
\(105\) | 61001.9 | − | 27972.9i | 0.539971 | − | 0.247607i | ||||
\(106\) | −2809.60 | + | 8647.07i | −0.0242874 | + | 0.0747489i | ||||
\(107\) | 161400. | 1.36284 | 0.681419 | − | 0.731894i | \(-0.261363\pi\) | ||||
0.681419 | + | 0.731894i | \(0.261363\pi\) | |||||||
\(108\) | 3604.37 | − | 11093.1i | 0.0297352 | − | 0.0915155i | ||||
\(109\) | −182823. | + | 132828.i | −1.47389 | + | 1.07084i | −0.494421 | + | 0.869223i | \(0.664620\pi\) |
−0.979464 | + | 0.201618i | \(0.935380\pi\) | |||||||
\(110\) | 103444. | − | 47435.0i | 0.815125 | − | 0.373781i | ||||
\(111\) | −52112.8 | − | 37862.2i | −0.401455 | − | 0.291674i | ||||
\(112\) | 27625.9 | − | 20071.4i | 0.208099 | − | 0.151193i | ||||
\(113\) | 31617.7 | − | 22971.6i | 0.232935 | − | 0.169237i | −0.465195 | − | 0.885208i | \(-0.654016\pi\) |
0.698130 | + | 0.715971i | \(0.254016\pi\) | |||||||
\(114\) | 43033.4 | + | 31265.6i | 0.310130 | + | 0.225323i | ||||
\(115\) | −52768.3 | + | 93779.3i | −0.372073 | + | 0.661245i | ||||
\(116\) | −49993.7 | + | 36322.6i | −0.344961 | + | 0.250629i | ||||
\(117\) | −1575.74 | + | 4849.64i | −0.0106419 | + | 0.0327525i | ||||
\(118\) | −23498.4 | −0.155358 | ||||||||
\(119\) | 10179.3 | − | 31328.6i | 0.0658945 | − | 0.202802i | ||||
\(120\) | −3719.97 | − | 31983.8i | −0.0235823 | − | 0.202757i | ||||
\(121\) | 30272.7 | + | 93169.8i | 0.187970 | + | 0.578511i | ||||
\(122\) | −3299.51 | − | 10154.8i | −0.0200701 | − | 0.0617694i | ||||
\(123\) | −118857. | − | 86354.4i | −0.708371 | − | 0.514661i | ||||
\(124\) | 70071.1 | 0.409246 | ||||||||
\(125\) | −59468.9 | − | 164259.i | −0.340420 | − | 0.940274i | ||||
\(126\) | 43217.8 | 0.242514 | ||||||||
\(127\) | 194173. | + | 141075.i | 1.06826 | + | 0.776139i | 0.975599 | − | 0.219558i | \(-0.0704617\pi\) |
0.0926643 | + | 0.995697i | \(0.470462\pi\) | |||||||
\(128\) | −5062.93 | − | 15582.1i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | −18442.2 | − | 56759.3i | −0.0975751 | − | 0.300305i | ||||
\(130\) | 1626.28 | + | 13982.5i | 0.00843988 | + | 0.0725649i | ||||
\(131\) | −65565.0 | + | 201788.i | −0.333806 | + | 1.02735i | 0.633501 | + | 0.773742i | \(0.281617\pi\) |
−0.967307 | + | 0.253607i | \(0.918383\pi\) | |||||||
\(132\) | 73286.7 | 0.366092 | ||||||||
\(133\) | −60904.1 | + | 187443.i | −0.298550 | + | 0.918843i | ||||
\(134\) | −178505. | + | 129691.i | −0.858791 | + | 0.623948i | ||||
\(135\) | 19984.3 | − | 35515.9i | 0.0943745 | − | 0.167721i | ||||
\(136\) | −12786.6 | − | 9289.98i | −0.0592797 | − | 0.0430693i | ||||
\(137\) | 273947. | − | 199034.i | 1.24700 | − | 0.905995i | 0.248952 | − | 0.968516i | \(-0.419914\pi\) |
0.998044 | + | 0.0625205i | \(0.0199139\pi\) | |||||||
\(138\) | −56062.4 | + | 40731.7i | −0.250596 | + | 0.182069i | ||||
\(139\) | 270275. | + | 196366.i | 1.18650 | + | 0.862044i | 0.992890 | − | 0.119034i | \(-0.0379798\pi\) |
0.193612 | + | 0.981078i | \(0.437980\pi\) | |||||||
\(140\) | 108448. | − | 49729.5i | 0.467629 | − | 0.214434i | ||||
\(141\) | 63463.2 | − | 46108.7i | 0.268828 | − | 0.195315i | ||||
\(142\) | −18619.3 | + | 57304.2i | −0.0774893 | + | 0.238487i | ||||
\(143\) | −32039.1 | −0.131021 | ||||||||
\(144\) | 6407.78 | − | 19721.1i | 0.0257514 | − | 0.0792547i | ||||
\(145\) | −196255. | + | 89994.1i | −0.775177 | + | 0.355463i | ||||
\(146\) | −51286.8 | − | 157844.i | −0.199124 | − | 0.612840i | ||||
\(147\) | 2740.73 | + | 8435.11i | 0.0104610 | + | 0.0321957i | ||||
\(148\) | −92645.0 | − | 67310.5i | −0.347670 | − | 0.252597i | ||||
\(149\) | 243415. | 0.898216 | 0.449108 | − | 0.893477i | \(-0.351742\pi\) | ||||
0.449108 | + | 0.893477i | \(0.351742\pi\) | |||||||
\(150\) | 9280.11 | − | 112117.i | 0.0336763 | − | 0.406857i | ||||
\(151\) | −235105. | −0.839112 | −0.419556 | − | 0.907729i | \(-0.637814\pi\) | ||||
−0.419556 | + | 0.907729i | \(0.637814\pi\) | |||||||
\(152\) | 76503.9 | + | 55583.3i | 0.268581 | + | 0.195135i | ||||
\(153\) | −6181.35 | − | 19024.2i | −0.0213479 | − | 0.0657020i | ||||
\(154\) | 83911.9 | + | 258254.i | 0.285116 | + | 0.877497i | ||||
\(155\) | 240017. | + | 48247.1i | 0.802440 | + | 0.161303i | ||||
\(156\) | −2801.32 | + | 8621.58i | −0.00921619 | + | 0.0283645i | ||||
\(157\) | 158904. | 0.514501 | 0.257250 | − | 0.966345i | \(-0.417183\pi\) | ||||
0.257250 | + | 0.966345i | \(0.417183\pi\) | |||||||
\(158\) | 14894.1 | − | 45839.2i | 0.0474647 | − | 0.146081i | ||||
\(159\) | −16550.2 | + | 12024.4i | −0.0519171 | + | 0.0377200i | ||||
\(160\) | −6613.28 | − | 56860.0i | −0.0204229 | − | 0.175593i | ||||
\(161\) | −207724. | − | 150921.i | −0.631572 | − | 0.458864i | ||||
\(162\) | 21231.8 | − | 15425.8i | 0.0635624 | − | 0.0461808i | ||||
\(163\) | −98612.7 | + | 71646.3i | −0.290713 | + | 0.211215i | −0.723576 | − | 0.690244i | \(-0.757503\pi\) |
0.432864 | + | 0.901459i | \(0.357503\pi\) | |||||||
\(164\) | −211301. | − | 153519.i | −0.613467 | − | 0.445710i | ||||
\(165\) | 251032. | + | 50461.2i | 0.717825 | + | 0.144294i | ||||
\(166\) | −227651. | + | 165398.i | −0.641208 | + | 0.465865i | ||||
\(167\) | 30061.0 | − | 92518.2i | 0.0834088 | − | 0.256706i | −0.900651 | − | 0.434543i | \(-0.856910\pi\) |
0.984060 | + | 0.177837i | \(0.0569099\pi\) | |||||||
\(168\) | 76831.7 | 0.210023 | ||||||||
\(169\) | −113511. | + | 349351.i | −0.305719 | + | 0.940905i | ||||
\(170\) | −37401.7 | − | 40625.4i | −0.0992588 | − | 0.107814i | ||||
\(171\) | 36983.9 | + | 113825.i | 0.0967215 | + | 0.297678i | ||||
\(172\) | −32786.2 | − | 100905.i | −0.0845025 | − | 0.260072i | ||||
\(173\) | −421506. | − | 306242.i | −1.07075 | − | 0.777945i | −0.0947031 | − | 0.995506i | \(-0.530190\pi\) |
−0.976047 | + | 0.217560i | \(0.930190\pi\) | |||||||
\(174\) | −139040. | −0.348151 | ||||||||
\(175\) | 405712. | − | 95669.2i | 1.00143 | − | 0.236144i | ||||
\(176\) | 130288. | 0.317045 | ||||||||
\(177\) | −42773.9 | − | 31077.1i | −0.102623 | − | 0.0745602i | ||||
\(178\) | −68811.2 | − | 211779.i | −0.162783 | − | 0.500994i | ||||
\(179\) | −204822. | − | 630377.i | −0.477797 | − | 1.47051i | −0.842148 | − | 0.539247i | \(-0.818709\pi\) |
0.364351 | − | 0.931262i | \(-0.381291\pi\) | |||||||
\(180\) | 35527.7 | − | 63139.4i | 0.0817307 | − | 0.145251i | ||||
\(181\) | 121825. | − | 374939.i | 0.276401 | − | 0.850675i | −0.712444 | − | 0.701729i | \(-0.752412\pi\) |
0.988845 | − | 0.148946i | \(-0.0475882\pi\) | |||||||
\(182\) | −33588.9 | −0.0751653 | ||||||||
\(183\) | 7423.89 | − | 22848.4i | 0.0163872 | − | 0.0504345i | ||||
\(184\) | −99666.5 | + | 72412.0i | −0.217022 | + | 0.157676i | ||||
\(185\) | −270994. | − | 294352.i | −0.582144 | − | 0.632320i | ||||
\(186\) | 127550. | + | 92670.2i | 0.270331 | + | 0.196407i | ||||
\(187\) | 101680. | − | 73875.0i | 0.212634 | − | 0.154488i | ||||
\(188\) | 112823. | − | 81971.0i | 0.232812 | − | 0.169148i | ||||
\(189\) | 78668.9 | + | 57156.3i | 0.160195 | + | 0.116388i | ||||
\(190\) | 223780. | + | 243068.i | 0.449715 | + | 0.488477i | ||||
\(191\) | 163594. | − | 118858.i | 0.324477 | − | 0.235747i | −0.413606 | − | 0.910456i | \(-0.635731\pi\) |
0.738084 | + | 0.674709i | \(0.235731\pi\) | |||||||
\(192\) | 11391.6 | − | 35059.7i | 0.0223014 | − | 0.0686366i | ||||
\(193\) | −423849. | −0.819065 | −0.409532 | − | 0.912296i | \(-0.634308\pi\) | ||||
−0.409532 | + | 0.912296i | \(0.634308\pi\) | |||||||
\(194\) | −214063. | + | 658817.i | −0.408354 | + | 1.25678i | ||||
\(195\) | −15531.8 | + | 27603.0i | −0.0292507 | + | 0.0519840i | ||||
\(196\) | 4872.41 | + | 14995.7i | 0.00905950 | + | 0.0278823i | ||||
\(197\) | −176744. | − | 543961.i | −0.324473 | − | 0.998625i | −0.971678 | − | 0.236309i | \(-0.924062\pi\) |
0.647205 | − | 0.762316i | \(-0.275938\pi\) | |||||||
\(198\) | 133403. | + | 96922.9i | 0.241826 | + | 0.175697i | ||||
\(199\) | −626974. | −1.12232 | −0.561160 | − | 0.827707i | \(-0.689645\pi\) | ||||
−0.561160 | + | 0.827707i | \(0.689645\pi\) | |||||||
\(200\) | 16498.0 | − | 199318.i | 0.0291646 | − | 0.352348i | ||||
\(201\) | −496449. | −0.866731 | ||||||||
\(202\) | 205654. | + | 149416.i | 0.354616 | + | 0.257643i | ||||
\(203\) | −159198. | − | 489962.i | −0.271143 | − | 0.834492i | ||||
\(204\) | −10989.1 | − | 33820.9i | −0.0184878 | − | 0.0568996i | ||||
\(205\) | −618071. | − | 671344.i | −1.02720 | − | 1.11573i | ||||
\(206\) | −70018.0 | + | 215493.i | −0.114959 | + | 0.353806i | ||||
\(207\) | −155918. | −0.252913 | ||||||||
\(208\) | −4980.13 | + | 15327.3i | −0.00798145 | + | 0.0245644i | ||||
\(209\) | −608368. | + | 442005.i | −0.963387 | + | 0.699941i | ||||
\(210\) | 263175. | + | 52902.1i | 0.411809 | + | 0.0827798i | ||||
\(211\) | −253428. | − | 184126.i | −0.391876 | − | 0.284714i | 0.374348 | − | 0.927288i | \(-0.377867\pi\) |
−0.766224 | + | 0.642574i | \(0.777867\pi\) | |||||||
\(212\) | −29422.6 | + | 21376.7i | −0.0449615 | + | 0.0326664i | ||||
\(213\) | −109678. | + | 79685.9i | −0.165642 | + | 0.120346i | ||||
\(214\) | 522301. | + | 379474.i | 0.779627 | + | 0.566432i | ||||
\(215\) | −42825.8 | − | 368210.i | −0.0631843 | − | 0.543250i | ||||
\(216\) | 37745.5 | − | 27423.7i | 0.0550466 | − | 0.0399937i | ||||
\(217\) | −180517. | + | 555576.i | −0.260237 | + | 0.800929i | ||||
\(218\) | −903925. | −1.28822 | ||||||||
\(219\) | 115395. | − | 355150.i | 0.162584 | − | 0.500382i | ||||
\(220\) | 446279. | + | 89708.8i | 0.621655 | + | 0.124962i | ||||
\(221\) | 4804.15 | + | 14785.6i | 0.00661661 | + | 0.0203638i | ||||
\(222\) | −79621.3 | − | 245049.i | −0.108429 | − | 0.333711i | ||||
\(223\) | −966778. | − | 702405.i | −1.30186 | − | 0.945857i | −0.301889 | − | 0.953343i | \(-0.597617\pi\) |
−0.999972 | + | 0.00748561i | \(0.997617\pi\) | |||||||
\(224\) | 136590. | 0.181885 | ||||||||
\(225\) | 165169. | − | 191811.i | 0.217506 | − | 0.252591i | ||||
\(226\) | 156326. | 0.203592 | ||||||||
\(227\) | 999408. | + | 726112.i | 1.28729 | + | 0.935275i | 0.999747 | − | 0.0224918i | \(-0.00715995\pi\) |
0.287548 | + | 0.957766i | \(0.407160\pi\) | |||||||
\(228\) | 65749.2 | + | 202355.i | 0.0837633 | + | 0.257797i | ||||
\(229\) | 101247. | + | 311605.i | 0.127583 | + | 0.392659i | 0.994363 | − | 0.106032i | \(-0.0338145\pi\) |
−0.866780 | + | 0.498690i | \(0.833814\pi\) | |||||||
\(230\) | −391250. | + | 179411.i | −0.487680 | + | 0.223629i | ||||
\(231\) | −188802. | + | 581072.i | −0.232796 | + | 0.716473i | ||||
\(232\) | −247183. | −0.301507 | ||||||||
\(233\) | 458127. | − | 1.40997e6i | 0.552835 | − | 1.70145i | −0.148757 | − | 0.988874i | \(-0.547527\pi\) |
0.701593 | − | 0.712578i | \(-0.252473\pi\) | |||||||
\(234\) | −16501.4 | + | 11989.0i | −0.0197007 | + | 0.0143134i | ||||
\(235\) | 442899. | − | 203094.i | 0.523161 | − | 0.239899i | ||||
\(236\) | −76042.5 | − | 55248.1i | −0.0888744 | − | 0.0645710i | ||||
\(237\) | 87734.7 | − | 63743.0i | 0.101461 | − | 0.0737159i | ||||
\(238\) | 106599. | − | 77448.4i | 0.121986 | − | 0.0886279i | ||||
\(239\) | 894590. | + | 649958.i | 1.01305 | + | 0.736021i | 0.964846 | − | 0.262816i | \(-0.0846513\pi\) |
0.0482006 | + | 0.998838i | \(0.484651\pi\) | |||||||
\(240\) | 63160.3 | − | 112248.i | 0.0707809 | − | 0.125791i | ||||
\(241\) | −1.28049e6 | + | 930329.i | −1.42015 | + | 1.03180i | −0.428399 | + | 0.903590i | \(0.640922\pi\) |
−0.991747 | + | 0.128207i | \(0.959078\pi\) | |||||||
\(242\) | −121091. | + | 372679.i | −0.132915 | + | 0.409069i | ||||
\(243\) | 59049.0 | 0.0641500 | ||||||||
\(244\) | 13198.0 | − | 40619.4i | 0.0141917 | − | 0.0436776i | ||||
\(245\) | 6364.42 | + | 54720.4i | 0.00677397 | + | 0.0582417i | ||||
\(246\) | −181597. | − | 558897.i | −0.191324 | − | 0.588836i | ||||
\(247\) | −28743.9 | − | 88464.7i | −0.0299781 | − | 0.0922630i | ||||
\(248\) | 226755. | + | 164747.i | 0.234114 | + | 0.170094i | ||||
\(249\) | −633132. | −0.647136 | ||||||||
\(250\) | 193751. | − | 671373.i | 0.196062 | − | 0.679382i | ||||
\(251\) | 1008.74 | 0.00101064 | 0.000505320 | − | 1.00000i | \(-0.499839\pi\) | ||||
0.000505320 | 1.00000i | \(0.499839\pi\) | ||||||||
\(252\) | 139856. | + | 101611.i | 0.138733 | + | 0.100795i | ||||
\(253\) | −302731. | − | 931710.i | −0.297341 | − | 0.915123i | ||||
\(254\) | 296669. | + | 913054.i | 0.288528 | + | 0.887998i | ||||
\(255\) | −14354.1 | − | 123414.i | −0.0138237 | − | 0.118854i | ||||
\(256\) | 20251.7 | − | 62328.4i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 769965. | 0.727174 | 0.363587 | − | 0.931560i | \(-0.381552\pi\) | ||||
0.363587 | + | 0.931560i | \(0.381552\pi\) | |||||||
\(258\) | 73768.9 | − | 227037.i | 0.0689960 | − | 0.212348i | ||||
\(259\) | 772361. | − | 561153.i | 0.715436 | − | 0.519795i | ||||
\(260\) | −27612.1 | + | 49072.0i | −0.0253318 | + | 0.0450194i | ||||
\(261\) | −253093. | − | 183883.i | −0.229974 | − | 0.167086i | ||||
\(262\) | −686606. | + | 498848.i | −0.617951 | + | 0.448968i | ||||
\(263\) | 675560. | − | 490823.i | 0.602247 | − | 0.437558i | −0.244429 | − | 0.969667i | \(-0.578601\pi\) |
0.846676 | + | 0.532109i | \(0.178601\pi\) | |||||||
\(264\) | 237161. | + | 172307.i | 0.209427 | + | 0.152158i | ||||
\(265\) | −115501. | + | 52963.8i | −0.101035 | + | 0.0463302i | ||||
\(266\) | −637796. | + | 463386.i | −0.552685 | + | 0.401549i | ||||
\(267\) | 154825. | − | 476503.i | 0.132912 | − | 0.409060i | ||||
\(268\) | −882576. | −0.750611 | ||||||||
\(269\) | −637249. | + | 1.96125e6i | −0.536943 | + | 1.65254i | 0.202470 | + | 0.979289i | \(0.435103\pi\) |
−0.739413 | + | 0.673252i | \(0.764897\pi\) | |||||||
\(270\) | 148174. | − | 67946.0i | 0.123698 | − | 0.0567224i | ||||
\(271\) | −1644.32 | − | 5060.71i | −0.00136008 | − | 0.00418589i | 0.950374 | − | 0.311109i | \(-0.100700\pi\) |
−0.951734 | + | 0.306923i | \(0.900700\pi\) | |||||||
\(272\) | −19536.1 | − | 60126.0i | −0.0160109 | − | 0.0492765i | ||||
\(273\) | −61141.5 | − | 44421.9i | −0.0496512 | − | 0.0360737i | ||||
\(274\) | 1.35447e6 | 1.08991 | ||||||||
\(275\) | 1.46689e6 | + | 614566.i | 1.16967 | + | 0.490046i | ||||
\(276\) | −277188. | −0.219029 | ||||||||
\(277\) | 925958. | + | 672748.i | 0.725090 | + | 0.526809i | 0.888006 | − | 0.459831i | \(-0.152090\pi\) |
−0.162916 | + | 0.986640i | \(0.552090\pi\) | |||||||
\(278\) | 412943. | + | 1.27091e6i | 0.320463 | + | 0.986284i | ||||
\(279\) | 109619. | + | 337373.i | 0.0843093 | + | 0.259477i | ||||
\(280\) | 467866. | + | 94048.1i | 0.356637 | + | 0.0716894i | ||||
\(281\) | −489265. | + | 1.50580e6i | −0.369639 | + | 1.13763i | 0.577385 | + | 0.816472i | \(0.304073\pi\) |
−0.947025 | + | 0.321161i | \(0.895927\pi\) | |||||||
\(282\) | 313779. | 0.234964 | ||||||||
\(283\) | 795904. | − | 2.44954e6i | 0.590738 | − | 1.81810i | 0.0158445 | − | 0.999874i | \(-0.494956\pi\) |
0.574893 | − | 0.818229i | \(-0.305044\pi\) | |||||||
\(284\) | −194983. | + | 141664.i | −0.143450 | + | 0.104223i | ||||
\(285\) | 85882.6 | + | 738407.i | 0.0626315 | + | 0.538497i | ||||
\(286\) | −103681. | − | 75328.5i | −0.0749520 | − | 0.0544558i | ||||
\(287\) | 1.76157e6 | − | 1.27985e6i | 1.26239 | − | 0.917181i | ||||
\(288\) | 67103.1 | − | 48753.3i | 0.0476718 | − | 0.0346356i | ||||
\(289\) | 1.09935e6 | + | 798724.i | 0.774268 | + | 0.562538i | ||||
\(290\) | −846684. | − | 170196.i | −0.591189 | − | 0.118838i | ||||
\(291\) | −1.26095e6 | + | 916135.i | −0.872903 | + | 0.634201i | ||||
\(292\) | 205147. | − | 631378.i | 0.140802 | − | 0.433343i | ||||
\(293\) | 2.34176e6 | 1.59357 | 0.796787 | − | 0.604260i | \(-0.206531\pi\) | ||||
0.796787 | + | 0.604260i | \(0.206531\pi\) | |||||||
\(294\) | −10962.9 | + | 33740.4i | −0.00739705 | + | 0.0227658i | ||||
\(295\) | −222430. | − | 241602.i | −0.148812 | − | 0.161639i | ||||
\(296\) | −141549. | − | 435643.i | −0.0939026 | − | 0.289002i | ||||
\(297\) | 114650. | + | 352855.i | 0.0754192 | + | 0.232116i | ||||
\(298\) | 787706. | + | 572302.i | 0.513835 | + | 0.373323i | ||||
\(299\) | 121180. | 0.0783884 | ||||||||
\(300\) | 293633. | − | 340998.i | 0.188366 | − | 0.218750i | ||||
\(301\) | 884517. | 0.562717 | ||||||||
\(302\) | −760817. | − | 552766.i | −0.480024 | − | 0.348758i | ||||
\(303\) | 176743. | + | 543960.i | 0.110595 | + | 0.340377i | ||||
\(304\) | 116888. | + | 359743.i | 0.0725411 | + | 0.223259i | ||||
\(305\) | 73176.0 | − | 130048.i | 0.0450421 | − | 0.0800484i | ||||
\(306\) | 24725.4 | − | 76097.0i | 0.0150952 | − | 0.0464583i | ||||
\(307\) | 2.62723e6 | 1.59093 | 0.795467 | − | 0.605997i | \(-0.207226\pi\) | ||||
0.795467 | + | 0.605997i | \(0.207226\pi\) | |||||||
\(308\) | −335647. | + | 1.03302e6i | −0.201607 | + | 0.620484i | ||||
\(309\) | −412446. | + | 299660.i | −0.245737 | + | 0.178539i | ||||
\(310\) | 663276. | + | 720445.i | 0.392003 | + | 0.425791i | ||||
\(311\) | −1.45251e6 | − | 1.05531e6i | −0.851565 | − | 0.618699i | 0.0740118 | − | 0.997257i | \(-0.476420\pi\) |
−0.925577 | + | 0.378559i | \(0.876420\pi\) | |||||||
\(312\) | −29335.8 | + | 21313.7i | −0.0170613 | + | 0.0123957i | ||||
\(313\) | 316153. | − | 229699.i | 0.182405 | − | 0.132525i | −0.492836 | − | 0.870122i | \(-0.664040\pi\) |
0.675241 | + | 0.737597i | \(0.264040\pi\) | |||||||
\(314\) | 514224. | + | 373606.i | 0.294326 | + | 0.213840i | ||||
\(315\) | 409090. | + | 444350.i | 0.232296 | + | 0.252318i | ||||
\(316\) | 155973. | − | 113321.i | 0.0878681 | − | 0.0638399i | ||||
\(317\) | −676503. | + | 2.08206e6i | −0.378113 | + | 1.16371i | 0.563242 | + | 0.826292i | \(0.309554\pi\) |
−0.941354 | + | 0.337419i | \(0.890446\pi\) | |||||||
\(318\) | −81828.6 | −0.0453772 | ||||||||
\(319\) | 607412. | − | 1.86942e6i | 0.334200 | − | 1.02856i | ||||
\(320\) | 112285. | − | 199552.i | 0.0612980 | − | 0.108938i | ||||
\(321\) | 448878. | + | 1.38150e6i | 0.243145 | + | 0.748324i | ||||
\(322\) | −317375. | − | 976778.i | −0.170582 | − | 0.524996i | ||||
\(323\) | 295202. | + | 214477.i | 0.157439 | + | 0.114386i | ||||
\(324\) | 104976. | 0.0555556 | ||||||||
\(325\) | −128369. | + | 149076.i | −0.0674143 | + | 0.0782887i | ||||
\(326\) | −487568. | −0.254092 | ||||||||
\(327\) | −1.64540e6 | − | 1.19546e6i | −0.850948 | − | 0.618250i | ||||
\(328\) | −322839. | − | 993595.i | −0.165692 | − | 0.509947i | ||||
\(329\) | 359271. | + | 1.10572e6i | 0.182992 | + | 0.563192i | ||||
\(330\) | 693715. | + | 753507.i | 0.350668 | + | 0.380893i | ||||
\(331\) | −122501. | + | 377020.i | −0.0614568 | + | 0.189145i | −0.977071 | − | 0.212913i | \(-0.931705\pi\) |
0.915614 | + | 0.402058i | \(0.131705\pi\) | |||||||
\(332\) | −1.12557e6 | −0.560436 | ||||||||
\(333\) | 179148. | − | 551361.i | 0.0885322 | − | 0.272474i | ||||
\(334\) | 314803. | − | 228718.i | 0.154409 | − | 0.112185i | ||||
\(335\) | −3.02312e6 | − | 607693.i | −1.47178 | − | 0.295850i | ||||
\(336\) | 248633. | + | 180642.i | 0.120146 | + | 0.0872913i | ||||
\(337\) | −1.85332e6 | + | 1.34652e6i | −0.888947 | + | 0.645857i | −0.935603 | − | 0.353054i | \(-0.885143\pi\) |
0.0466566 | + | 0.998911i | \(0.485143\pi\) | |||||||
\(338\) | −1.18870e6 | + | 863644.i | −0.565955 | + | 0.411191i | ||||
\(339\) | 284559. | + | 206744.i | 0.134485 | + | 0.0977090i | ||||
\(340\) | −25518.4 | − | 219403.i | −0.0119717 | − | 0.102931i | ||||
\(341\) | −1.80318e6 | + | 1.31009e6i | −0.839756 | + | 0.610119i | ||||
\(342\) | −147936. | + | 455300.i | −0.0683924 | + | 0.210490i | ||||
\(343\) | 2.11041e6 | 0.968571 | ||||||||
\(344\) | 131145. | − | 403622.i | 0.0597523 | − | 0.183899i | ||||
\(345\) | −949462. | − | 190856.i | −0.429467 | − | 0.0863294i | ||||
\(346\) | −644003. | − | 1.98204e6i | −0.289200 | − | 0.890065i | ||||
\(347\) | −64896.3 | − | 199730.i | −0.0289332 | − | 0.0890471i | 0.935547 | − | 0.353202i | \(-0.114907\pi\) |
−0.964480 | + | 0.264155i | \(0.914907\pi\) | |||||||
\(348\) | −449944. | − | 326903.i | −0.199164 | − | 0.144701i | ||||
\(349\) | −162039. | −0.0712125 | −0.0356063 | − | 0.999366i | \(-0.511336\pi\) | ||||
−0.0356063 | + | 0.999366i | \(0.511336\pi\) | |||||||
\(350\) | 1.53784e6 | + | 644293.i | 0.671030 | + | 0.281134i | ||||
\(351\) | −45892.9 | −0.0198828 | ||||||||
\(352\) | 421619. | + | 306324.i | 0.181369 | + | 0.131773i | ||||
\(353\) | 384859. | + | 1.18447e6i | 0.164386 | + | 0.505928i | 0.998991 | − | 0.0449216i | \(-0.0143038\pi\) |
−0.834605 | + | 0.550850i | \(0.814304\pi\) | |||||||
\(354\) | −65352.7 | − | 201135.i | −0.0277176 | − | 0.0853060i | ||||
\(355\) | −765426. | + | 350991.i | −0.322353 | + | 0.147817i | ||||
\(356\) | 275245. | − | 847116.i | 0.115105 | − | 0.354257i | ||||
\(357\) | 296467. | 0.123114 | ||||||||
\(358\) | 819287. | − | 2.52151e6i | 0.337854 | − | 1.03981i | ||||
\(359\) | −450727. | + | 327472.i | −0.184577 | + | 0.134103i | −0.676237 | − | 0.736684i | \(-0.736390\pi\) |
0.491660 | + | 0.870787i | \(0.336390\pi\) | |||||||
\(360\) | 263420. | − | 120793.i | 0.107125 | − | 0.0491230i | ||||
\(361\) | 236967. | + | 172167.i | 0.0957019 | + | 0.0695315i | ||||
\(362\) | 1.27577e6 | − | 926899.i | 0.511682 | − | 0.371759i | ||||
\(363\) | −713294. | + | 518239.i | −0.284120 | + | 0.206425i | ||||
\(364\) | −108696. | − | 78972.3i | −0.0429992 | − | 0.0312407i | ||||
\(365\) | 1.13743e6 | − | 2.02143e6i | 0.446881 | − | 0.794193i | ||||
\(366\) | 77744.0 | − | 56484.3i | 0.0303364 | − | 0.0220407i | ||||
\(367\) | −171096. | + | 526579.i | −0.0663093 | + | 0.204079i | −0.978721 | − | 0.205194i | \(-0.934218\pi\) |
0.912412 | + | 0.409273i | \(0.134218\pi\) | |||||||
\(368\) | −492778. | −0.189685 | ||||||||
\(369\) | 408593. | − | 1.25752e6i | 0.156216 | − | 0.480783i | ||||
\(370\) | −184893. | − | 1.58969e6i | −0.0702129 | − | 0.603681i | ||||
\(371\) | −93692.2 | − | 288355.i | −0.0353402 | − | 0.108766i | ||||
\(372\) | 194878. | + | 599774.i | 0.0730140 | + | 0.224714i | ||||
\(373\) | −3.35326e6 | − | 2.43628e6i | −1.24794 | − | 0.906684i | −0.249843 | − | 0.968286i | \(-0.580379\pi\) |
−0.998101 | + | 0.0616024i | \(0.980379\pi\) | |||||||
\(374\) | 502735. | 0.185849 | ||||||||
\(375\) | 1.24058e6 | − | 965854.i | 0.455563 | − | 0.354677i | ||||
\(376\) | 557830. | 0.203485 | ||||||||
\(377\) | 196704. | + | 142914.i | 0.0712788 | + | 0.0517871i | ||||
\(378\) | 120195. | + | 369924.i | 0.0432672 | + | 0.133163i | ||||
\(379\) | 46065.2 | + | 141774.i | 0.0164731 | + | 0.0506990i | 0.958955 | − | 0.283558i | \(-0.0915148\pi\) |
−0.942482 | + | 0.334257i | \(0.891515\pi\) | |||||||
\(380\) | 152680. | + | 1.31272e6i | 0.0542405 | + | 0.466352i | ||||
\(381\) | −667506. | + | 2.05437e6i | −0.235582 | + | 0.725048i | ||||
\(382\) | 808854. | 0.283604 | ||||||||
\(383\) | −1.58543e6 | + | 4.87946e6i | −0.552269 | + | 1.69971i | 0.150778 | + | 0.988568i | \(0.451822\pi\) |
−0.703048 | + | 0.711143i | \(0.748178\pi\) | |||||||
\(384\) | 119294. | − | 86672.5i | 0.0412850 | − | 0.0299953i | ||||
\(385\) | −1.86098e6 | + | 3.30732e6i | −0.639869 | + | 1.13717i | ||||
\(386\) | −1.37161e6 | − | 996530.i | −0.468555 | − | 0.340425i | ||||
\(387\) | 434541. | − | 315713.i | 0.147487 | − | 0.107156i | ||||
\(388\) | −2.24169e6 | + | 1.62868e6i | −0.755956 | + | 0.549234i | ||||
\(389\) | −4.10247e6 | − | 2.98062e6i | −1.37459 | − | 0.998695i | −0.997363 | − | 0.0725723i | \(-0.976879\pi\) |
−0.377223 | − | 0.926123i | \(-0.623121\pi\) | |||||||
\(390\) | −115161. | + | 52807.6i | −0.0383391 | + | 0.0175807i | ||||
\(391\) | −384579. | + | 279413.i | −0.127216 | + | 0.0924282i | ||||
\(392\) | −19489.7 | + | 59983.0i | −0.00640603 | + | 0.0197157i | ||||
\(393\) | −1.90956e6 | −0.623665 | ||||||||
\(394\) | 706975. | − | 2.17585e6i | 0.229437 | − | 0.706135i | ||||
\(395\) | 612286. | − | 280768.i | 0.197452 | − | 0.0905430i | ||||
\(396\) | 203822. | + | 627298.i | 0.0653149 | + | 0.201019i | ||||
\(397\) | −92863.5 | − | 285805.i | −0.0295712 | − | 0.0910108i | 0.935182 | − | 0.354168i | \(-0.115236\pi\) |
−0.964753 | + | 0.263158i | \(0.915236\pi\) | |||||||
\(398\) | −2.02893e6 | − | 1.47410e6i | −0.642036 | − | 0.466467i | ||||
\(399\) | −1.77381e6 | −0.557794 | ||||||||
\(400\) | 522014. | − | 606219.i | 0.163129 | − | 0.189443i | ||||
\(401\) | 39462.2 | 0.0122552 | 0.00612761 | − | 0.999981i | \(-0.498050\pi\) | ||||
0.00612761 | + | 0.999981i | \(0.498050\pi\) | |||||||
\(402\) | −1.60654e6 | − | 1.16722e6i | −0.495823 | − | 0.360237i | ||||
\(403\) | −85196.0 | − | 262206.i | −0.0261310 | − | 0.0804230i | ||||
\(404\) | 314211. | + | 967041.i | 0.0957784 | + | 0.294776i | ||||
\(405\) | 359578. | + | 72280.7i | 0.108932 | + | 0.0218970i | ||||
\(406\) | 636793. | − | 1.95985e6i | 0.191727 | − | 0.590075i | ||||
\(407\) | 3.64256e6 | 1.08999 | ||||||||
\(408\) | 43956.3 | − | 135283.i | 0.0130729 | − | 0.0402341i | ||||
\(409\) | 107533. | − | 78127.3i | 0.0317858 | − | 0.0230938i | −0.571779 | − | 0.820408i | \(-0.693746\pi\) |
0.603565 | + | 0.797314i | \(0.293746\pi\) | |||||||
\(410\) | −421697. | − | 3.62569e6i | −0.123891 | − | 1.06520i | ||||
\(411\) | 2.46552e6 | + | 1.79131e6i | 0.719953 | + | 0.523077i | ||||
\(412\) | −733238. | + | 532728.i | −0.212815 | + | 0.154619i | ||||
\(413\) | 633949. | − | 460591.i | 0.182886 | − | 0.132874i | ||||
\(414\) | −504562. | − | 366586.i | −0.144682 | − | 0.105117i | ||||
\(415\) | −3.85545e6 | − | 775003.i | −1.09889 | − | 0.220894i | ||||
\(416\) | −52152.6 | + | 37891.0i | −0.0147755 | + | 0.0107350i | ||||
\(417\) | −929122. | + | 2.85954e6i | −0.261657 | + | 0.805298i | ||||
\(418\) | −3.00794e6 | −0.842031 | ||||||||
\(419\) | 1.03028e6 | − | 3.17086e6i | 0.286694 | − | 0.882353i | −0.699192 | − | 0.714934i | \(-0.746457\pi\) |
0.985886 | − | 0.167419i | \(-0.0535433\pi\) | |||||||
\(420\) | 727271. | + | 789955.i | 0.201174 | + | 0.218514i | ||||
\(421\) | −221450. | − | 681552.i | −0.0608933 | − | 0.187410i | 0.915982 | − | 0.401219i | \(-0.131413\pi\) |
−0.976876 | + | 0.213808i | \(0.931413\pi\) | |||||||
\(422\) | −387203. | − | 1.19169e6i | −0.105842 | − | 0.325748i | ||||
\(423\) | 571169. | + | 414978.i | 0.155208 | + | 0.112765i | ||||
\(424\) | −145473. | −0.0392978 | ||||||||
\(425\) | 63660.0 | − | 769101.i | 0.0170960 | − | 0.206543i | ||||
\(426\) | −542279. | −0.144777 | ||||||||
\(427\) | 288060. | + | 209288.i | 0.0764562 | + | 0.0555487i | ||||
\(428\) | 798005. | + | 2.45601e6i | 0.210570 | + | 0.648068i | ||||
\(429\) | −89105.7 | − | 274239.i | −0.0233756 | − | 0.0719427i | ||||
\(430\) | 727127. | − | 1.29224e6i | 0.189644 | − | 0.337033i | ||||
\(431\) | 428066. | − | 1.31745e6i | 0.110999 | − | 0.341619i | −0.880093 | − | 0.474802i | \(-0.842520\pi\) |
0.991091 | + | 0.133183i | \(0.0425198\pi\) | |||||||
\(432\) | 186624. | 0.0481125 | ||||||||
\(433\) | −182384. | + | 561321.i | −0.0467485 | + | 0.143877i | −0.971706 | − | 0.236193i | \(-0.924100\pi\) |
0.924958 | + | 0.380070i | \(0.124100\pi\) | |||||||
\(434\) | −1.89040e6 | + | 1.37346e6i | −0.481759 | + | 0.350019i | ||||
\(435\) | −1.31612e6 | − | 1.42956e6i | −0.333482 | − | 0.362226i | ||||
\(436\) | −2.92516e6 | − | 2.12525e6i | −0.736943 | − | 0.535420i | ||||
\(437\) | 2.30099e6 | − | 1.67177e6i | 0.576383 | − | 0.418767i | ||||
\(438\) | 1.20843e6 | − | 877979.i | 0.300980 | − | 0.218675i | ||||
\(439\) | 547220. | + | 397578.i | 0.135519 | + | 0.0984603i | 0.653479 | − | 0.756944i | \(-0.273309\pi\) |
−0.517960 | + | 0.855405i | \(0.673309\pi\) | |||||||
\(440\) | 1.23327e6 | + | 1.33957e6i | 0.303687 | + | 0.329863i | ||||
\(441\) | −64578.0 | + | 46918.7i | −0.0158120 | + | 0.0114881i | ||||
\(442\) | −19216.6 | + | 59142.6i | −0.00467865 | + | 0.0143994i | ||||
\(443\) | 3.27256e6 | 0.792278 | 0.396139 | − | 0.918190i | \(-0.370350\pi\) | ||||
0.396139 | + | 0.918190i | \(0.370350\pi\) | |||||||
\(444\) | 318485. | − | 980197.i | 0.0766711 | − | 0.235969i | ||||
\(445\) | 1.52608e6 | − | 2.71214e6i | 0.365324 | − | 0.649250i | ||||
\(446\) | −1.47711e6 | − | 4.54606e6i | −0.351621 | − | 1.08218i | ||||
\(447\) | 676973. | + | 2.08351e6i | 0.160252 | + | 0.493204i | ||||
\(448\) | 442014. | + | 321142.i | 0.104050 | + | 0.0755965i | ||||
\(449\) | −3.87505e6 | −0.907112 | −0.453556 | − | 0.891228i | \(-0.649845\pi\) | ||||
−0.453556 | + | 0.891228i | \(0.649845\pi\) | |||||||
\(450\) | 985472. | − | 232380.i | 0.229410 | − | 0.0540963i | ||||
\(451\) | 8.30780e6 | 1.92329 | ||||||||
\(452\) | 505883. | + | 367546.i | 0.116467 | + | 0.0846185i | ||||
\(453\) | −653864. | − | 2.01239e6i | −0.149707 | − | 0.460751i | ||||
\(454\) | 1.52696e6 | + | 4.69950e6i | 0.347686 | + | 1.07007i | ||||
\(455\) | −317945. | − | 345349.i | −0.0719984 | − | 0.0782041i | ||||
\(456\) | −262997. | + | 809421.i | −0.0592296 | + | 0.182290i | ||||
\(457\) | −4.54835e6 | −1.01874 | −0.509370 | − | 0.860548i | \(-0.670122\pi\) | ||||
−0.509370 | + | 0.860548i | \(0.670122\pi\) | |||||||
\(458\) | −404986. | + | 1.24642e6i | −0.0902145 | + | 0.277652i | ||||
\(459\) | 145647. | − | 105819.i | 0.0322678 | − | 0.0234439i | ||||
\(460\) | −1.68793e6 | − | 339300.i | −0.371929 | − | 0.0747634i | ||||
\(461\) | 4.53096e6 | + | 3.29194e6i | 0.992975 | + | 0.721439i | 0.960571 | − | 0.278036i | \(-0.0896835\pi\) |
0.0324045 | + | 0.999475i | \(0.489684\pi\) | |||||||
\(462\) | −1.97716e6 | + | 1.43649e6i | −0.430959 | + | 0.313110i | ||||
\(463\) | 6.41166e6 | − | 4.65834e6i | 1.39001 | − | 1.00990i | 0.394146 | − | 0.919048i | \(-0.371041\pi\) |
0.995864 | − | 0.0908532i | \(-0.0289594\pi\) | |||||||
\(464\) | −799900. | − | 581161.i | −0.172481 | − | 0.125315i | ||||
\(465\) | 254553. | + | 2.18861e6i | 0.0545941 | + | 0.469392i | ||||
\(466\) | 4.79756e6 | − | 3.48563e6i | 1.02342 | − | 0.743562i | ||||
\(467\) | 1.88612e6 | − | 5.80488e6i | 0.400200 | − | 1.23169i | −0.524637 | − | 0.851326i | \(-0.675799\pi\) |
0.924837 | − | 0.380363i | \(-0.124201\pi\) | |||||||
\(468\) | −81587.4 | −0.0172190 | ||||||||
\(469\) | 2.27370e6 | − | 6.99772e6i | 0.477310 | − | 1.46901i | ||||
\(470\) | 1.91076e6 | + | 384091.i | 0.398989 | + | 0.0802028i | ||||
\(471\) | 441937. | + | 1.36014e6i | 0.0917926 | + | 0.282509i | ||||
\(472\) | −116183. | − | 357573.i | −0.0240041 | − | 0.0738772i | ||||
\(473\) | 2.73029e6 | + | 1.98367e6i | 0.561120 | + | 0.407678i | ||||
\(474\) | 433784. | 0.0886804 | ||||||||
\(475\) | −380887. | + | 4.60165e6i | −0.0774573 | + | 0.935792i | ||||
\(476\) | 527053. | 0.106619 | ||||||||
\(477\) | −148952. | − | 108220.i | −0.0299743 | − | 0.0217776i | ||||
\(478\) | 1.36681e6 | + | 4.20662e6i | 0.273615 | + | 0.842099i | ||||
\(479\) | −429328. | − | 1.32134e6i | −0.0854970 | − | 0.263133i | 0.899164 | − | 0.437612i | \(-0.144176\pi\) |
−0.984661 | + | 0.174480i | \(0.944176\pi\) | |||||||
\(480\) | 468301. | − | 214743.i | 0.0927732 | − | 0.0425418i | ||||
\(481\) | −139234. | + | 428518.i | −0.0274399 | + | 0.0844512i | ||||
\(482\) | −6.33108e6 | −1.24125 | ||||||||
\(483\) | 714093. | − | 2.19775e6i | 0.139279 | − | 0.428658i | ||||
\(484\) | −1.26808e6 | + | 921313.i | −0.246055 | + | 0.178770i | ||||
\(485\) | −8.79997e6 | + | 4.03529e6i | −1.69874 | + | 0.778969i | ||||
\(486\) | 191087. | + | 138833.i | 0.0366978 | + | 0.0266625i | ||||
\(487\) | −4.15544e6 | + | 3.01910e6i | −0.793952 | + | 0.576840i | −0.909134 | − | 0.416504i | \(-0.863255\pi\) |
0.115181 | + | 0.993344i | \(0.463255\pi\) | |||||||
\(488\) | 138212. | − | 100417.i | 0.0262721 | − | 0.0190878i | ||||
\(489\) | −887515. | − | 644817.i | −0.167843 | − | 0.121945i | ||||
\(490\) | −108060. | + | 192042.i | −0.0203317 | + | 0.0361333i | ||||
\(491\) | 3.89285e6 | − | 2.82832e6i | 0.728725 | − | 0.529450i | −0.160435 | − | 0.987046i | \(-0.551290\pi\) |
0.889160 | + | 0.457597i | \(0.151290\pi\) | |||||||
\(492\) | 726387. | − | 2.23559e6i | 0.135287 | − | 0.416370i | ||||
\(493\) | −953792. | −0.176741 | ||||||||
\(494\) | 114976. | − | 353859.i | 0.0211977 | − | 0.0652398i | ||||
\(495\) | 266235. | + | 2.28905e6i | 0.0488373 | + | 0.419896i | ||||
\(496\) | 346450. | + | 1.06626e6i | 0.0632320 | + | 0.194608i | ||||
\(497\) | −620898. | − | 1.91093e6i | −0.112753 | − | 0.347019i | ||||
\(498\) | −2.04886e6 | − | 1.48858e6i | −0.370202 | − | 0.268967i | ||||
\(499\) | −5.59164e6 | −1.00528 | −0.502641 | − | 0.864495i | \(-0.667638\pi\) | ||||
−0.502641 | + | 0.864495i | \(0.667638\pi\) | |||||||
\(500\) | 2.20548e6 | − | 1.71707e6i | 0.394529 | − | 0.307159i | ||||
\(501\) | 875515. | 0.155836 | ||||||||
\(502\) | 3264.36 | + | 2371.70i | 0.000578148 | + | 0.000420049i | ||||
\(503\) | 3.00187e6 | + | 9.23879e6i | 0.529019 | + | 1.62815i | 0.756229 | + | 0.654308i | \(0.227040\pi\) |
−0.227209 | + | 0.973846i | \(0.572960\pi\) | |||||||
\(504\) | 213681. | + | 657642.i | 0.0374705 | + | 0.115322i | ||||
\(505\) | 410427. | + | 3.52879e6i | 0.0716155 | + | 0.615740i | ||||
\(506\) | 1.21092e6 | − | 3.72684e6i | 0.210252 | − | 0.647090i | ||||
\(507\) | −3.30597e6 | −0.571188 | ||||||||
\(508\) | −1.18668e6 | + | 3.65222e6i | −0.204020 | + | 0.627910i | ||||
\(509\) | −7.16810e6 | + | 5.20793e6i | −1.22634 | + | 0.890985i | −0.996610 | − | 0.0822699i | \(-0.973783\pi\) |
−0.229726 | + | 0.973255i | \(0.573783\pi\) | |||||||
\(510\) | 243714. | − | 433126.i | 0.0414911 | − | 0.0737375i | ||||
\(511\) | 4.47753e6 | + | 3.25312e6i | 0.758554 | + | 0.551122i | ||||
\(512\) | 212079. | − | 154084.i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −871427. | + | 633129.i | −0.146197 | + | 0.106218i | ||||
\(514\) | 2.49166e6 | + | 1.81030e6i | 0.415988 | + | 0.302233i | ||||
\(515\) | −2.87839e6 | + | 1.31991e6i | −0.478225 | + | 0.219293i | ||||
\(516\) | 772518. | − | 561267.i | 0.127727 | − | 0.0927994i | ||||
\(517\) | −1.37078e6 | + | 4.21882e6i | −0.225549 | + | 0.694168i | ||||
\(518\) | 3.81876e6 | 0.625314 | ||||||||
\(519\) | 1.44901e6 | − | 4.45959e6i | 0.236131 | − | 0.726735i | ||||
\(520\) | −204730. | + | 93880.3i | −0.0332026 | + | 0.0152253i | ||||
\(521\) | −2.21397e6 | − | 6.81389e6i | −0.357336 | − | 1.09977i | −0.954643 | − | 0.297754i | \(-0.903762\pi\) |
0.597306 | − | 0.802013i | \(-0.296238\pi\) | |||||||
\(522\) | −386692. | − | 1.19012e6i | −0.0621139 | − | 0.191167i | ||||
\(523\) | −4.27182e6 | − | 3.10366e6i | −0.682902 | − | 0.496157i | 0.191417 | − | 0.981509i | \(-0.438692\pi\) |
−0.874319 | + | 0.485351i | \(0.838692\pi\) | |||||||
\(524\) | −3.39477e6 | −0.540109 | ||||||||
\(525\) | 1.94723e6 | + | 3.20662e6i | 0.308332 | + | 0.507749i | ||||
\(526\) | 3.34015e6 | 0.526383 | ||||||||
\(527\) | 874968. | + | 635702.i | 0.137235 | + | 0.0997073i | ||||
\(528\) | 362350. | + | 1.11520e6i | 0.0565644 | + | 0.174087i | ||||
\(529\) | −843939. | − | 2.59738e6i | −0.131121 | − | 0.403549i | ||||
\(530\) | −498295. | − | 100165.i | −0.0770542 | − | 0.0154891i | ||||
\(531\) | 147044. | − | 452554.i | 0.0226313 | − | 0.0696521i | ||||
\(532\) | −3.15344e6 | −0.483064 | ||||||||
\(533\) | −317558. | + | 977344.i | −0.0484179 | + | 0.149015i | ||||
\(534\) | 1.62135e6 | − | 1.17798e6i | 0.246050 | − | 0.178766i | ||||
\(535\) | 1.04237e6 | + | 8.96212e6i | 0.157448 | + | 1.35371i | ||||
\(536\) | −2.85608e6 | − | 2.07506e6i | −0.429396 | − | 0.311974i | ||||
\(537\) | 4.82607e6 | − | 3.50635e6i | 0.722201 | − | 0.524710i | ||||
\(538\) | −6.67336e6 | + | 4.84848e6i | −0.994005 | + | 0.722187i | ||||
\(539\) | −405754. | − | 294797.i | −0.0601576 | − | 0.0437070i | ||||
\(540\) | 639250. | + | 128499.i | 0.0943380 | + | 0.0189634i | ||||
\(541\) | −6.64271e6 | + | 4.82621e6i | −0.975780 | + | 0.708946i | −0.956762 | − | 0.290873i | \(-0.906054\pi\) |
−0.0190184 | + | 0.999819i | \(0.506054\pi\) | |||||||
\(542\) | 6577.30 | − | 20242.8i | 0.000961721 | − | 0.00295987i | ||||
\(543\) | 3.54810e6 | 0.516413 | ||||||||
\(544\) | 78144.5 | − | 240504.i | 0.0113214 | − | 0.0348438i | ||||
\(545\) | −8.55633e6 | − | 9.29382e6i | −1.23395 | − | 1.34030i | ||||
\(546\) | −93415.9 | − | 287505.i | −0.0134103 | − | 0.0412727i | ||||
\(547\) | −990881. | − | 3.04962e6i | −0.141597 | − | 0.435790i | 0.854961 | − | 0.518692i | \(-0.173581\pi\) |
−0.996558 | + | 0.0829024i | \(0.973581\pi\) | |||||||
\(548\) | 4.38315e6 | + | 3.18454e6i | 0.623498 | + | 0.452998i | ||||
\(549\) | 216218. | 0.0306169 | ||||||||
\(550\) | 3.30201e6 | + | 5.43763e6i | 0.465449 | + | 0.766484i | ||||
\(551\) | 5.70668e6 | 0.800764 | ||||||||
\(552\) | −896999. | − | 651708.i | −0.125298 | − | 0.0910343i | ||||
\(553\) | 496674. | + | 1.52861e6i | 0.0690651 | + | 0.212561i | ||||
\(554\) | 1.41474e6 | + | 4.35412e6i | 0.195840 | + | 0.602734i | ||||
\(555\) | 1.76583e6 | − | 3.13821e6i | 0.243341 | − | 0.432464i | ||||
\(556\) | −1.65177e6 | + | 5.08363e6i | −0.226602 | + | 0.697408i | ||||
\(557\) | 1.46676e6 | 0.200319 | 0.100160 | − | 0.994971i | \(-0.468065\pi\) | ||||
0.100160 | + | 0.994971i | \(0.468065\pi\) | |||||||
\(558\) | −438476. | + | 1.34949e6i | −0.0596157 | + | 0.183478i | ||||
\(559\) | −337726. | + | 245372.i | −0.0457124 | + | 0.0332120i | ||||
\(560\) | 1.29293e6 | + | 1.40436e6i | 0.174222 | + | 0.189239i | ||||
\(561\) | 915122. | + | 664875.i | 0.122764 | + | 0.0891934i | ||||
\(562\) | −5.12365e6 | + | 3.72255e6i | −0.684287 | + | 0.497164i | ||||
\(563\) | −457694. | + | 332534.i | −0.0608561 | + | 0.0442146i | −0.617797 | − | 0.786337i | \(-0.711975\pi\) |
0.556941 | + | 0.830552i | \(0.311975\pi\) | |||||||
\(564\) | 1.01541e6 | + | 737739.i | 0.134414 | + | 0.0976574i | ||||
\(565\) | 1.47975e6 | + | 1.60729e6i | 0.195015 | + | 0.211823i | ||||
\(566\) | 8.33481e6 | − | 6.05560e6i | 1.09359 | − | 0.794540i | ||||
\(567\) | −270440. | + | 832328.i | −0.0353275 | + | 0.108727i | ||||
\(568\) | −964051. | −0.125380 | ||||||||
\(569\) | 90186.6 | − | 277566.i | 0.0116778 | − | 0.0359406i | −0.945048 | − | 0.326932i | \(-0.893985\pi\) |
0.956726 | + | 0.290992i | \(0.0939851\pi\) | |||||||
\(570\) | −1.45818e6 | + | 2.59146e6i | −0.187985 | + | 0.334085i | ||||
\(571\) | 2.81511e6 | + | 8.66400e6i | 0.361330 | + | 1.11206i | 0.952247 | + | 0.305328i | \(0.0987661\pi\) |
−0.590917 | + | 0.806732i | \(0.701234\pi\) | |||||||
\(572\) | −158410. | − | 487537.i | −0.0202438 | − | 0.0623042i | ||||
\(573\) | 1.47235e6 | + | 1.06972e6i | 0.187337 | + | 0.136108i | ||||
\(574\) | 8.70966e6 | 1.10337 | ||||||||
\(575\) | −5.54811e6 | − | 2.32443e6i | −0.699803 | − | 0.293189i | ||||
\(576\) | 331776. | 0.0416667 | ||||||||
\(577\) | 1.10184e7 | + | 8.00531e6i | 1.37777 | + | 1.00101i | 0.997084 | + | 0.0763068i | \(0.0243128\pi\) |
0.380688 | + | 0.924704i | \(0.375687\pi\) | |||||||
\(578\) | 1.67966e6 | + | 5.16945e6i | 0.209123 | + | 0.643613i | ||||
\(579\) | −1.17879e6 | − | 3.62794e6i | −0.146130 | − | 0.449743i | ||||
\(580\) | −2.33977e6 | − | 2.54144e6i | −0.288804 | − | 0.313697i | ||||
\(581\) | 2.89969e6 | − | 8.92434e6i | 0.356379 | − | 1.09682i | ||||
\(582\) | −6.23449e6 | −0.762945 | ||||||||
\(583\) | 357477. | − | 1.10020e6i | 0.0435589 | − | 0.134060i | ||||
\(584\) | 2.14833e6 | − | 1.56085e6i | 0.260656 | − | 0.189378i | ||||
\(585\) | −279464. | − | 56176.6i | −0.0337627 | − | 0.00678681i | ||||
\(586\) | 7.57808e6 | + | 5.50580e6i | 0.911623 | + | 0.662333i | ||||
\(587\) | 5.47931e6 | − | 3.98095e6i | 0.656342 | − | 0.476861i | −0.209083 | − | 0.977898i | \(-0.567048\pi\) |
0.865426 | + | 0.501037i | \(0.167048\pi\) | |||||||
\(588\) | −114805. | + | 83410.9i | −0.0136936 | + | 0.00994901i | ||||
\(589\) | −5.23507e6 | − | 3.80350e6i | −0.621776 | − | 0.451747i | ||||
\(590\) | −151759. | − | 1.30481e6i | −0.0179484 | − | 0.154318i | ||||
\(591\) | 4.16449e6 | − | 3.02568e6i | 0.490448 | − | 0.356332i | ||||
\(592\) | 566196. | − | 1.74257e6i | 0.0663991 | − | 0.204356i | ||||
\(593\) | −1.89849e6 | −0.221703 | −0.110851 | − | 0.993837i | \(-0.535358\pi\) | ||||
−0.110851 | + | 0.993837i | \(0.535358\pi\) | |||||||
\(594\) | −458599. | + | 1.41142e6i | −0.0533294 | + | 0.164131i | ||||
\(595\) | 1.80533e6 | + | 362899.i | 0.209057 | + | 0.0420237i | ||||
\(596\) | 1.20351e6 | + | 3.70402e6i | 0.138782 | + | 0.427127i | ||||
\(597\) | −1.74371e6 | − | 5.36659e6i | −0.200234 | − | 0.616258i | ||||
\(598\) | 392145. | + | 284910.i | 0.0448430 | + | 0.0325803i | ||||
\(599\) | 1.20095e7 | 1.36760 | 0.683801 | − | 0.729669i | \(-0.260326\pi\) | ||||
0.683801 | + | 0.729669i | \(0.260326\pi\) | |||||||
\(600\) | 1.75195e6 | − | 413120.i | 0.198675 | − | 0.0468488i | ||||
\(601\) | 1.05931e7 | 1.19629 | 0.598146 | − | 0.801387i | \(-0.295904\pi\) | ||||
0.598146 | + | 0.801387i | \(0.295904\pi\) | |||||||
\(602\) | 2.86236e6 | + | 2.07963e6i | 0.321909 | + | 0.233880i | ||||
\(603\) | −1.38070e6 | − | 4.24936e6i | −0.154634 | − | 0.475916i | ||||
\(604\) | −1.16242e6 | − | 3.57758e6i | −0.129650 | − | 0.399022i | ||||
\(605\) | −4.97796e6 | + | 2.28268e6i | −0.552921 | + | 0.253546i | ||||
\(606\) | −706974. | + | 2.17584e6i | −0.0782027 | + | 0.240683i | ||||
\(607\) | −1.19345e7 | −1.31472 | −0.657361 | − | 0.753576i | \(-0.728327\pi\) | ||||
−0.657361 | + | 0.753576i | \(0.728327\pi\) | |||||||
\(608\) | −467550. | + | 1.43897e6i | −0.0512943 | + | 0.157868i | ||||
\(609\) | 3.75108e6 | − | 2.72532e6i | 0.409839 | − | 0.297765i | ||||
\(610\) | 542563. | − | 248796.i | 0.0590371 | − | 0.0270719i | ||||
\(611\) | −443913. | − | 322521.i | −0.0481055 | − | 0.0349507i | ||||
\(612\) | 258928. | − | 188122.i | 0.0279447 | − | 0.0203030i | ||||
\(613\) | 4.55871e6 | − | 3.31209e6i | 0.489994 | − | 0.356001i | −0.315188 | − | 0.949029i | \(-0.602068\pi\) |
0.805182 | + | 0.593028i | \(0.202068\pi\) | |||||||
\(614\) | 8.50189e6 | + | 6.17699e6i | 0.910112 | + | 0.661235i | ||||
\(615\) | 4.02742e6 | − | 7.15750e6i | 0.429378 | − | 0.763086i | ||||
\(616\) | −3.51495e6 | + | 2.55376e6i | −0.373222 | + | 0.271161i | ||||
\(617\) | −482169. | + | 1.48396e6i | −0.0509901 | + | 0.156931i | −0.973309 | − | 0.229498i | \(-0.926292\pi\) |
0.922319 | + | 0.386429i | \(0.126292\pi\) | |||||||
\(618\) | −2.03925e6 | −0.214782 | ||||||||
\(619\) | 3.65065e6 | − | 1.12356e7i | 0.382952 | − | 1.17860i | −0.555004 | − | 0.831848i | \(-0.687283\pi\) |
0.937955 | − | 0.346756i | \(-0.112717\pi\) | |||||||
\(620\) | 452539. | + | 3.89086e6i | 0.0472799 | + | 0.406506i | ||||
\(621\) | −433632. | − | 1.33458e6i | −0.0451224 | − | 0.138873i | ||||
\(622\) | −2.21924e6 | − | 6.83011e6i | −0.230000 | − | 0.707867i | ||||
\(623\) | 6.00748e6 | + | 4.36469e6i | 0.620115 | + | 0.450540i | ||||
\(624\) | −145044. | −0.0149121 | ||||||||
\(625\) | 8.73681e6 | − | 4.36298e6i | 0.894649 | − | 0.446769i | ||||
\(626\) | 1.56315e6 | 0.159428 | ||||||||
\(627\) | −5.47531e6 | − | 3.97805e6i | −0.556212 | − | 0.404111i | ||||
\(628\) | 785665. | + | 2.41803e6i | 0.0794947 | + | 0.244660i | ||||
\(629\) | −546189. | − | 1.68100e6i | −0.0550448 | − | 0.169410i | ||||
\(630\) | 279113. | + | 2.39977e6i | 0.0280175 | + | 0.240890i | ||||
\(631\) | −515943. | + | 1.58791e6i | −0.0515856 | + | 0.158764i | −0.973531 | − | 0.228557i | \(-0.926599\pi\) |
0.921945 | + | 0.387321i | \(0.126599\pi\) | |||||||
\(632\) | 771172. | 0.0767995 | ||||||||
\(633\) | 871207. | − | 2.68130e6i | 0.0864196 | − | 0.265972i | ||||
\(634\) | −7.08443e6 | + | 5.14714e6i | −0.699973 | + | 0.508561i | ||||
\(635\) | −6.57948e6 | + | 1.16930e7i | −0.647526 | + | 1.15078i | ||||
\(636\) | −264803. | − | 192391.i | −0.0259585 | − | 0.0188600i | ||||
\(637\) | 50190.0 | − | 36465.2i | 0.00490082 | − | 0.00356066i | ||||
\(638\) | 6.36090e6 | − | 4.62146e6i | 0.618681 | − | 0.449498i | ||||
\(639\) | −987103. | − | 717173.i | −0.0956336 | − | 0.0694819i | ||||
\(640\) | 832536. | − | 381765.i | 0.0803439 | − | 0.0368423i | ||||
\(641\) | 5.70014e6 | − | 4.14139e6i | 0.547949 | − | 0.398109i | −0.279079 | − | 0.960268i | \(-0.590029\pi\) |
0.827029 | + | 0.562159i | \(0.190029\pi\) | |||||||
\(642\) | −1.79551e6 | + | 5.52602e6i | −0.171930 | + | 0.529145i | ||||
\(643\) | −1.33388e7 | −1.27230 | −0.636149 | − | 0.771567i | \(-0.719473\pi\) | ||||
−0.636149 | + | 0.771567i | \(0.719473\pi\) | |||||||
\(644\) | 1.26950e6 | − | 3.90711e6i | 0.120619 | − | 0.371229i | ||||
\(645\) | 3.03259e6 | − | 1.39062e6i | 0.287022 | − | 0.131616i | ||||
\(646\) | 451029. | + | 1.38812e6i | 0.0425229 | + | 0.130872i | ||||
\(647\) | 2.77947e6 | + | 8.55434e6i | 0.261037 | + | 0.803389i | 0.992580 | + | 0.121594i | \(0.0388005\pi\) |
−0.731543 | + | 0.681795i | \(0.761200\pi\) | |||||||
\(648\) | 339709. | + | 246813.i | 0.0317812 | + | 0.0230904i | ||||
\(649\) | 2.98980e6 | 0.278631 | ||||||||
\(650\) | −765909. | + | 180606.i | −0.0711040 | + | 0.0167667i | ||||
\(651\) | −5.25750e6 | −0.486213 | ||||||||
\(652\) | −1.57780e6 | − | 1.14634e6i | −0.145356 | − | 0.105608i | ||||
\(653\) | 4.58653e6 | + | 1.41159e7i | 0.420921 | + | 1.29546i | 0.906846 | + | 0.421462i | \(0.138483\pi\) |
−0.485925 | + | 0.874001i | \(0.661517\pi\) | |||||||
\(654\) | −2.51395e6 | − | 7.73715e6i | −0.229833 | − | 0.707354i | ||||
\(655\) | −1.16282e7 | − | 2.33745e6i | −1.05903 | − | 0.212882i | ||||
\(656\) | 1.29135e6 | − | 3.97438e6i | 0.117162 | − | 0.360587i | ||||
\(657\) | 3.36084e6 | 0.303763 | ||||||||
\(658\) | −1.43708e6 | + | 4.42289e6i | −0.129395 | + | 0.398237i | ||||
\(659\) | −1.68836e7 | + | 1.22667e7i | −1.51444 | + | 1.10031i | −0.550282 | + | 0.834979i | \(0.685480\pi\) |
−0.964158 | + | 0.265327i | \(0.914520\pi\) | |||||||
\(660\) | 473306. | + | 4.06942e6i | 0.0422944 | + | 0.363641i | ||||
\(661\) | −1.50027e7 | − | 1.09001e7i | −1.33557 | − | 0.970346i | −0.999595 | − | 0.0284740i | \(-0.990935\pi\) |
−0.335972 | − | 0.941872i | \(-0.609065\pi\) | |||||||
\(662\) | −1.28285e6 | + | 932044.i | −0.113771 | + | 0.0826593i | ||||
\(663\) | −113197. | + | 82242.3i | −0.0100012 | + | 0.00726627i | ||||
\(664\) | −3.64241e6 | − | 2.64637e6i | −0.320604 | − | 0.232932i | ||||
\(665\) | −1.08016e7 | − | 2.17128e6i | −0.947181 | − | 0.190398i | ||||
\(666\) | 1.87606e6 | − | 1.36304e6i | 0.163893 | − | 0.119076i | ||||
\(667\) | −2.29737e6 | + | 7.07059e6i | −0.199948 | + | 0.615377i | ||||
\(668\) | 1.55647e6 | 0.134958 | ||||||||
\(669\) | 3.32349e6 | − | 1.02286e7i | 0.287097 | − | 0.883594i | ||||
\(670\) | −8.35425e6 | − | 9.07432e6i | −0.718986 | − | 0.780957i | ||||
\(671\) | 419809. | + | 1.29204e6i | 0.0359953 | + | 0.110782i | ||||
\(672\) | 379877. | + | 1.16914e6i | 0.0324504 | + | 0.0998720i | ||||
\(673\) | 1.46729e7 | + | 1.06605e7i | 1.24876 | + | 0.907276i | 0.998149 | − | 0.0608122i | \(-0.0193691\pi\) |
0.250609 | + | 0.968088i | \(0.419369\pi\) | |||||||
\(674\) | −9.16332e6 | −0.776968 | ||||||||
\(675\) | 2.10117e6 | + | 880305.i | 0.177501 | + | 0.0743659i | ||||
\(676\) | −5.87728e6 | −0.494663 | ||||||||
\(677\) | 450771. | + | 327504.i | 0.0377993 | + | 0.0274628i | 0.606524 | − | 0.795065i | \(-0.292563\pi\) |
−0.568725 | + | 0.822528i | \(0.692563\pi\) | |||||||
\(678\) | 434768. | + | 1.33808e6i | 0.0363231 | + | 0.111791i | ||||
\(679\) | −7.13836e6 | − | 2.19696e7i | −0.594189 | − | 1.82872i | ||||
\(680\) | 433269. | − | 770001.i | 0.0359323 | − | 0.0638586i | ||||
\(681\) | −3.43566e6 | + | 1.05739e7i | −0.283885 | + | 0.873708i | ||||
\(682\) | −8.91541e6 | −0.733974 | ||||||||
\(683\) | 4.81610e6 | − | 1.48224e7i | 0.395042 | − | 1.21581i | −0.533887 | − | 0.845556i | \(-0.679269\pi\) |
0.928929 | − | 0.370258i | \(-0.120731\pi\) | |||||||
\(684\) | −1.54920e6 | + | 1.12556e6i | −0.126610 | + | 0.0919876i | ||||
\(685\) | 1.28211e7 | + | 1.39261e7i | 1.04399 | + | 1.13398i | ||||
\(686\) | 6.82943e6 | + | 4.96187e6i | 0.554082 | + | 0.402564i | ||||
\(687\) | −2.38560e6 | + | 1.73324e6i | −0.192844 | + | 0.140109i | ||||
\(688\) | 1.37336e6 | − | 997808.i | 0.110615 | − | 0.0803667i | ||||
\(689\) | 115765. | + | 84108.4i | 0.00929032 | + | 0.00674981i | ||||
\(690\) | −2.62379e6 | − | 2.84994e6i | −0.209801 | − | 0.227884i | ||||
\(691\) | −4.86943e6 | + | 3.53784e6i | −0.387956 | + | 0.281867i | −0.764617 | − | 0.644484i | \(-0.777072\pi\) |
0.376661 | + | 0.926351i | \(0.377072\pi\) | |||||||
\(692\) | 2.57601e6 | − | 7.92815e6i | 0.204495 | − | 0.629371i | ||||
\(693\) | −5.49878e6 | −0.434944 | ||||||||
\(694\) | 259585. | − | 798921.i | 0.0204588 | − | 0.0629658i | ||||
\(695\) | −9.15818e6 | + | 1.62758e7i | −0.719196 | + | 1.27815i | ||||
\(696\) | −687453. | − | 2.11576e6i | −0.0537922 | − | 0.165556i | ||||
\(697\) | −1.24572e6 | − | 3.83394e6i | −0.0971269 | − | 0.298926i | ||||
\(698\) | −524370. | − | 380977.i | −0.0407379 | − | 0.0295978i | ||||
\(699\) | 1.33428e7 | 1.03289 | ||||||||
\(700\) | 3.46174e6 | + | 5.70066e6i | 0.267023 | + | 0.439724i | ||||
\(701\) | −1.19238e7 | −0.916470 | −0.458235 | − | 0.888831i | \(-0.651518\pi\) | ||||
−0.458235 | + | 0.888831i | \(0.651518\pi\) | |||||||
\(702\) | −148513. | − | 107901.i | −0.0113742 | − | 0.00826383i | ||||
\(703\) | 3.26793e6 | + | 1.00577e7i | 0.249393 | + | 0.767553i | ||||
\(704\) | 644177. | + | 1.98257e6i | 0.0489862 | + | 0.150764i | ||||
\(705\) | 2.97016e6 | + | 3.22616e6i | 0.225064 | + | 0.244463i | ||||
\(706\) | −1.53944e6 | + | 4.73789e6i | −0.116238 | + | 0.357745i | ||||
\(707\) | −8.47689e6 | −0.637805 | ||||||||
\(708\) | 261411. | − | 804540.i | 0.0195993 | − | 0.0603204i | ||||
\(709\) | 1.01949e7 | − | 7.40704e6i | 0.761672 | − | 0.553387i | −0.137751 | − | 0.990467i | \(-0.543987\pi\) |
0.899423 | + | 0.437080i | \(0.143987\pi\) | |||||||
\(710\) | −3.30220e6 | − | 663792.i | −0.245843 | − | 0.0494181i | ||||
\(711\) | 789612. | + | 573687.i | 0.0585787 | + | 0.0425599i | ||||
\(712\) | 2.88240e6 | − | 2.09419e6i | 0.213086 | − | 0.154816i | ||||
\(713\) | 6.82006e6 | − | 4.95506e6i | 0.502417 | − | 0.365027i | ||||
\(714\) | 959388. | + | 697036.i | 0.0704285 | + | 0.0511693i | ||||
\(715\) | −206918. | − | 1.77905e6i | −0.0151367 | − | 0.130144i | ||||
\(716\) | 8.57969e6 | − | 6.23351e6i | 0.625445 | − | 0.454412i | ||||
\(717\) | −3.07533e6 | + | 9.46488e6i | −0.223405 | + | 0.687571i | ||||
\(718\) | −2.22852e6 | −0.161326 | ||||||||
\(719\) | 6.71849e6 | − | 2.06774e7i | 0.484674 | − | 1.49167i | −0.347779 | − | 0.937577i | \(-0.613064\pi\) |
0.832453 | − | 0.554096i | \(-0.186936\pi\) | |||||||
\(720\) | 1.13644e6 | + | 228443.i | 0.0816991 | + | 0.0164228i | ||||
\(721\) | −2.33490e6 | − | 7.18607e6i | −0.167274 | − | 0.514818i | ||||
\(722\) | 362054. | + | 1.11429e6i | 0.0258482 | + | 0.0795526i | ||||
\(723\) | −1.15244e7 | − | 8.37297e6i | −0.819922 | − | 0.595708i | ||||
\(724\) | 6.30774e6 | 0.447226 | ||||||||
\(725\) | −6.26461e6 | − | 1.03163e7i | −0.442638 | − | 0.728920i | ||||
\(726\) | −3.52672e6 | −0.248330 | ||||||||
\(727\) | −2.01209e7 | − | 1.46187e7i | −1.41193 | − | 1.02582i | −0.993039 | − | 0.117785i | \(-0.962421\pi\) |
−0.418886 | − | 0.908039i | \(-0.637579\pi\) | |||||||
\(728\) | −166073. | − | 511119.i | −0.0116137 | − | 0.0357432i | ||||
\(729\) | 164224. | + | 505430.i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 8.43346e6 | − | 3.86722e6i | 0.585732 | − | 0.268591i | ||||
\(731\) | 506042. | − | 1.55744e6i | 0.0350262 | − | 0.107800i | ||||
\(732\) | 384387. | 0.0265150 | ||||||||
\(733\) | −803719. | + | 2.47359e6i | −0.0552515 | + | 0.170047i | −0.974874 | − | 0.222756i | \(-0.928495\pi\) |
0.919623 | + | 0.392803i | \(0.128495\pi\) | |||||||
\(734\) | −1.79174e6 | + | 1.30177e6i | −0.122754 | + | 0.0891858i | ||||
\(735\) | −450679. | + | 206662.i | −0.0307715 | + | 0.0141105i | ||||
\(736\) | −1.59466e6 | − | 1.15859e6i | −0.108511 | − | 0.0788380i | ||||
\(737\) | 2.27119e7 | − | 1.65011e7i | 1.54022 | − | 1.11904i | ||||
\(738\) | 4.27884e6 | − | 3.10876e6i | 0.289191 | − | 0.210110i | ||||
\(739\) | 5.09081e6 | + | 3.69869e6i | 0.342907 | + | 0.249136i | 0.745887 | − | 0.666072i | \(-0.232026\pi\) |
−0.402980 | + | 0.915209i | \(0.632026\pi\) | |||||||
\(740\) | 3.13925e6 | − | 5.57905e6i | 0.210740 | − | 0.374525i | ||||
\(741\) | 677273. | − | 492068.i | 0.0453125 | − | 0.0329215i | ||||
\(742\) | 374769. | − | 1.15342e6i | 0.0249893 | − | 0.0769091i | ||||
\(743\) | −2.41576e6 | −0.160539 | −0.0802697 | − | 0.996773i | \(-0.525578\pi\) | ||||
−0.0802697 | + | 0.996773i | \(0.525578\pi\) | |||||||
\(744\) | −779513. | + | 2.39910e6i | −0.0516287 | + | 0.158897i | ||||
\(745\) | 1.57204e6 | + | 1.35162e7i | 0.103770 | + | 0.892202i | ||||
\(746\) | −5.12332e6 | − | 1.57680e7i | −0.337058 | − | 1.03736i | ||||
\(747\) | −1.76084e6 | − | 5.41930e6i | −0.115456 | − | 0.355338i | ||||
\(748\) | 1.62688e6 | + | 1.18200e6i | 0.106317 | + | 0.0772438i | ||||
\(749\) | −2.15289e7 | −1.40222 | ||||||||
\(750\) | 6.28547e6 | − | 208780.i | 0.408023 | − | 0.0135530i | ||||
\(751\) | −2.42928e7 | −1.57173 | −0.785865 | − | 0.618398i | \(-0.787782\pi\) | ||||
−0.785865 | + | 0.618398i | \(0.787782\pi\) | |||||||
\(752\) | 1.80518e6 | + | 1.31154e6i | 0.116406 | + | 0.0845738i | ||||
\(753\) | 2805.47 | + | 8634.34i | 0.000180309 | + | 0.000554935i | ||||
\(754\) | 300537. | + | 924958.i | 0.0192517 | + | 0.0592507i | ||||
\(755\) | −1.51838e6 | − | 1.30548e7i | −0.0969420 | − | 0.833494i | ||||
\(756\) | −480782. | + | 1.47969e6i | −0.0305945 | + | 0.0941602i | ||||
\(757\) | −8.00840e6 | −0.507932 | −0.253966 | − | 0.967213i | \(-0.581735\pi\) | ||||
−0.253966 | + | 0.967213i | \(0.581735\pi\) | |||||||
\(758\) | −184261. | + | 567097.i | −0.0116482 | + | 0.0358496i | ||||
\(759\) | 7.13304e6 | − | 5.18246e6i | 0.449438 | − | 0.326536i | ||||
\(760\) | −2.59231e6 | + | 4.60703e6i | −0.162800 | + | 0.289326i | ||||
\(761\) | −1.37240e7 | − | 9.97109e6i | −0.859053 | − | 0.624138i | 0.0685744 | − | 0.997646i | \(-0.478155\pi\) |
−0.927627 | + | 0.373508i | \(0.878155\pi\) | |||||||
\(762\) | −6.99021e6 | + | 5.07869e6i | −0.436117 | + | 0.316857i | ||||
\(763\) | 2.43864e7 | − | 1.77178e7i | 1.51648 | − | 1.10179i | ||||
\(764\) | 2.61751e6 | + | 1.90173e6i | 0.162239 | + | 0.117873i | ||||
\(765\) | 1.01645e6 | − | 466098.i | 0.0627958 | − | 0.0287954i | ||||
\(766\) | −1.66029e7 | + | 1.20627e7i | −1.02238 | + | 0.742801i | ||||
\(767\) | −114282. | + | 351725.i | −0.00701440 | + | 0.0215881i | ||||
\(768\) | 589824. | 0.0360844 | ||||||||
\(769\) | −3.67785e6 | + | 1.13193e7i | −0.224274 | + | 0.690244i | 0.774091 | + | 0.633075i | \(0.218207\pi\) |
−0.998365 | + | 0.0571692i | \(0.981793\pi\) | |||||||
\(770\) | −1.37982e7 | + | 6.32728e6i | −0.838682 | + | 0.384583i | ||||
\(771\) | 2.14139e6 | + | 6.59052e6i | 0.129736 | + | 0.399286i | ||||
\(772\) | −2.09563e6 | − | 6.44968e6i | −0.126552 | − | 0.389489i | ||||
\(773\) | −1.62420e7 | − | 1.18005e7i | −0.977668 | − | 0.710317i | −0.0204815 | − | 0.999790i | \(-0.506520\pi\) |
−0.957186 | + | 0.289473i | \(0.906520\pi\) | |||||||
\(774\) | 2.14849e6 | 0.128908 | ||||||||
\(775\) | −1.12894e6 | + | 1.36391e7i | −0.0675173 | + | 0.815703i | ||||
\(776\) | −1.10835e7 | −0.660730 | ||||||||
\(777\) | 6.95125e6 | + | 5.05038e6i | 0.413057 | + | 0.300104i | ||||
\(778\) | −6.26802e6 | − | 1.92910e7i | −0.371263 | − | 1.14263i | ||||
\(779\) | 7.45335e6 | + | 2.29391e7i | 0.440056 | + | 1.35435i | ||||
\(780\) | −496825. | − | 99869.4i | −0.0292393 | − | 0.00587755i | ||||
\(781\) | 2.36900e6 | − | 7.29104e6i | 0.138975 | − | 0.427722i | ||||
\(782\) | −1.90146e6 | −0.111191 | ||||||||
\(783\) | 870057. | − | 2.67776e6i | 0.0507158 | − | 0.156087i | ||||
\(784\) | −204098. | + | 148286.i | −0.0118590 | + | 0.00861609i | ||||
\(785\) | 1.02625e6 | + | 8.82353e6i | 0.0594399 | + | 0.511056i | ||||
\(786\) | −6.17945e6 | − | 4.48964e6i | −0.356774 | − | 0.259212i | ||||
\(787\) | 2.00183e7 | − | 1.45441e7i | 1.15210 | − | 0.837048i | 0.163340 | − | 0.986570i | \(-0.447773\pi\) |
0.988758 | + | 0.149521i | \(0.0477733\pi\) | |||||||
\(788\) | 7.40354e6 | − | 5.37899e6i | 0.424741 | − | 0.308592i | ||||
\(789\) | 6.08004e6 | + | 4.41741e6i | 0.347707 | + | 0.252624i | ||||
\(790\) | 2.64152e6 | + | 530986.i | 0.150587 | + | 0.0302702i | ||||
\(791\) | −4.21743e6 | + | 3.06415e6i | −0.239666 | + | 0.174128i | ||||
\(792\) | −815286. | + | 2.50919e6i | −0.0461846 | + | 0.142142i | ||||
\(793\) | −168045. | −0.00948947 | ||||||||
\(794\) | 371454. | − | 1.14322e6i | 0.0209100 | − | 0.0643544i | ||||
\(795\) | −774570. | − | 841332.i | −0.0434653 | − | 0.0472117i | ||||
\(796\) | −3.09993e6 | − | 9.54061e6i | −0.173408 | − | 0.533695i | ||||
\(797\) | 182969. | + | 563121.i | 0.0102031 | + | 0.0314019i | 0.956028 | − | 0.293274i | \(-0.0947448\pi\) |
−0.945825 | + | 0.324676i | \(0.894745\pi\) | |||||||
\(798\) | −5.74016e6 | − | 4.17047e6i | −0.319093 | − | 0.231834i | ||||
\(799\) | 2.15247e6 | 0.119281 | ||||||||
\(800\) | 3.11458e6 | − | 734436.i | 0.172058 | − | 0.0405723i | ||||
\(801\) | 4.50922e6 | 0.248325 | ||||||||
\(802\) | 127703. | + | 92781.3i | 0.00701073 | + | 0.00509360i | ||||
\(803\) | 6.52541e6 | + | 2.00832e7i | 0.357124 | + | 1.09912i | ||||
\(804\) | −2.45458e6 | − | 7.55441e6i | −0.133917 | − | 0.412155i | ||||
\(805\) | 7.03868e6 | − | 1.25091e7i | 0.382826 | − | 0.680355i | ||||
\(806\) | 340784. | − | 1.04882e6i | 0.0184774 | − | 0.0568677i | ||||
\(807\) | −1.85596e7 | −1.00319 | ||||||||
\(808\) | −1.25684e6 | + | 3.86816e6i | −0.0677255 | + | 0.208438i | ||||
\(809\) | −1.54851e7 | + | 1.12506e7i | −0.831843 | + | 0.604370i | −0.920080 | − | 0.391730i | \(-0.871877\pi\) |
0.0882368 | + | 0.996100i | \(0.471877\pi\) | |||||||
\(810\) | 993678. | + | 1.07932e6i | 0.0532149 | + | 0.0578015i | ||||
\(811\) | 2.88634e7 | + | 2.09705e7i | 1.54097 | + | 1.11958i | 0.949723 | + | 0.313092i | \(0.101365\pi\) |
0.591249 | + | 0.806489i | \(0.298635\pi\) | |||||||
\(812\) | 6.66858e6 | − | 4.84501e6i | 0.354931 | − | 0.257872i | ||||
\(813\) | 38744.1 | − | 28149.2i | 0.00205579 | − | 0.00149362i | ||||
\(814\) | 1.17876e7 | + | 8.56418e6i | 0.623539 | + | 0.453028i | ||||
\(815\) | −4.61520e6 | − | 5.01299e6i | −0.243387 | − | 0.264365i | ||||
\(816\) | 460316. | − | 334439.i | 0.0242009 | − | 0.0175829i | ||||
\(817\) | −3.02773e6 | + | 9.31838e6i | −0.158694 | + | 0.488411i | ||||
\(818\) | 531673. | 0.0277818 | ||||||||
\(819\) | 210186. | − | 646885.i | 0.0109495 | − | 0.0336990i | ||||
\(820\) | 7.15987e6 | − | 1.27244e7i | 0.371852 | − | 0.660852i | ||||
\(821\) | 6.70995e6 | + | 2.06511e7i | 0.347425 | + | 1.06927i | 0.960273 | + | 0.279064i | \(0.0900242\pi\) |
−0.612847 | + | 0.790202i | \(0.709976\pi\) | |||||||
\(822\) | 3.76698e6 | + | 1.15936e7i | 0.194453 | + | 0.598464i | ||||
\(823\) | −8.98715e6 | − | 6.52955e6i | −0.462511 | − | 0.336034i | 0.332004 | − | 0.943278i | \(-0.392275\pi\) |
−0.794516 | + | 0.607244i | \(0.792275\pi\) | |||||||
\(824\) | −3.62533e6 | −0.186007 | ||||||||
\(825\) | −1.18074e6 | + | 1.42650e7i | −0.0603978 | + | 0.729689i | ||||
\(826\) | 3.13442e6 | 0.159848 | ||||||||
\(827\) | 3.24292e6 | + | 2.35612e6i | 0.164882 | + | 0.119794i | 0.667166 | − | 0.744909i | \(-0.267507\pi\) |
−0.502284 | + | 0.864702i | \(0.667507\pi\) | |||||||
\(828\) | −770902. | − | 2.37259e6i | −0.0390772 | − | 0.120267i | ||||
\(829\) | 7.92123e6 | + | 2.43790e7i | 0.400319 | + | 1.23206i | 0.924741 | + | 0.380597i | \(0.124281\pi\) |
−0.524422 | + | 0.851458i | \(0.675719\pi\) | |||||||
\(830\) | −1.06543e7 | − | 1.15727e7i | −0.536824 | − | 0.583093i | ||||
\(831\) | −3.18316e6 | + | 9.79676e6i | −0.159903 | + | 0.492130i | ||||
\(832\) | −257856. | −0.0129143 | ||||||||
\(833\) | −75203.9 | + | 231454.i | −0.00375515 | + | 0.0115572i | ||||
\(834\) | −9.72989e6 | + | 7.06918e6i | −0.484387 | + | 0.351928i | ||||
\(835\) | 5.33144e6 | + | 1.07170e6i | 0.264623 | + | 0.0531933i | ||||
\(836\) | −9.73389e6 | − | 7.07208e6i | −0.481693 | − | 0.349971i | ||||
\(837\) | −2.58288e6 | + | 1.87657e6i | −0.127435 | + | 0.0925873i | ||||
\(838\) | 1.07892e7 | − | 7.83881e6i | 0.530736 | − | 0.385603i | ||||
\(839\) | 2.44570e7 | + | 1.77690e7i | 1.19949 | + | 0.871483i | 0.994235 | − | 0.107225i | \(-0.0341965\pi\) |
0.205259 | + | 0.978708i | \(0.434196\pi\) | |||||||
\(840\) | 496201. | + | 4.26626e6i | 0.0242638 | + | 0.208617i | ||||
\(841\) | 4.52592e6 | − | 3.28827e6i | 0.220657 | − | 0.160316i | ||||
\(842\) | 885798. | − | 2.72621e6i | 0.0430581 | − | 0.132519i | ||||
\(843\) | −1.42496e7 | −0.690614 | ||||||||
\(844\) | 1.54881e6 | − | 4.76676e6i | 0.0748416 | − | 0.230339i | ||||
\(845\) | −2.01317e7 | − | 4.04677e6i | −0.969924 | − | 0.194969i | ||||
\(846\) | 872668. | + | 2.68580e6i | 0.0419202 | + | 0.129017i | ||||
\(847\) | −4.03803e6 | − | 1.24278e7i | −0.193402 | − | 0.595230i | ||||
\(848\) | −470761. | − | 342028.i | −0.0224808 | − | 0.0163332i | ||||
\(849\) | 2.31804e7 | 1.10370 | ||||||||
\(850\) | 2.01427e6 | − | 2.33919e6i | 0.0956249 | − | 0.111050i | ||||
\(851\) | −1.37770e7 | −0.652127 | ||||||||
\(852\) | −1.75485e6 | − | 1.27497e6i | −0.0828211 | − | 0.0601731i | ||||
\(853\) | 6.50725e6 | + | 2.00272e7i | 0.306214 | + | 0.942429i | 0.979222 | + | 0.202794i | \(0.0650020\pi\) |
−0.673008 | + | 0.739635i | \(0.734998\pi\) | |||||||
\(854\) | 440116. | + | 1.35454e6i | 0.0206501 | + | 0.0635545i | ||||
\(855\) | −6.08155e6 | + | 2.78873e6i | −0.284511 | + | 0.130464i | ||||
\(856\) | −3.19202e6 | + | 9.82403e6i | −0.148895 | + | 0.458253i | ||||
\(857\) | 3.55236e7 | 1.65221 | 0.826105 | − | 0.563516i | \(-0.190552\pi\) | ||||
0.826105 | + | 0.563516i | \(0.190552\pi\) | |||||||
\(858\) | 356423. | − | 1.09696e6i | 0.0165290 | − | 0.0508711i | ||||
\(859\) | −2.46214e7 | + | 1.78885e7i | −1.13849 | + | 0.827162i | −0.986908 | − | 0.161283i | \(-0.948437\pi\) |
−0.151582 | + | 0.988445i | \(0.548437\pi\) | |||||||
\(860\) | 5.39127e6 | − | 2.47221e6i | 0.248568 | − | 0.113983i | ||||
\(861\) | 1.58541e7 | + | 1.15187e7i | 0.728842 | + | 0.529535i | ||||
\(862\) | 4.48276e6 | − | 3.25692e6i | 0.205484 | − | 0.149293i | ||||
\(863\) | −4.76393e6 | + | 3.46120e6i | −0.217740 | + | 0.158198i | −0.691309 | − | 0.722559i | \(-0.742966\pi\) |
0.473569 | + | 0.880757i | \(0.342966\pi\) | |||||||
\(864\) | 603928. | + | 438779.i | 0.0275233 | + | 0.0199969i | ||||
\(865\) | 1.42826e7 | − | 2.53829e7i | 0.649033 | − | 1.15346i | ||||
\(866\) | −1.90995e6 | + | 1.38766e6i | −0.0865422 | + | 0.0628766i | ||||
\(867\) | −3.77923e6 | + | 1.16313e7i | −0.170748 | + | 0.525508i | ||||
\(868\) | −9.34667e6 | −0.421073 | ||||||||
\(869\) | −1.89503e6 | + | 5.83231e6i | −0.0851269 | + | 0.261994i | ||||
\(870\) | −897961. | − | 7.72054e6i | −0.0402216 | − | 0.345820i | ||||
\(871\) | 1.07308e6 | + | 3.30260e6i | 0.0479277 | + | 0.147506i | ||||
\(872\) | −4.46925e6 | − | 1.37549e7i | −0.199041 | − | 0.612586i | ||||
\(873\) | −1.13486e7 | − | 8.24521e6i | −0.503971 | − | 0.366156i | ||||
\(874\) | 1.13767e7 | 0.503778 | ||||||||
\(875\) | 7.93246e6 | + | 2.19102e7i | 0.350258 | + | 0.967447i | ||||
\(876\) | 5.97483e6 | 0.263066 | ||||||||
\(877\) | 1.66211e7 | + | 1.20759e7i | 0.729727 | + | 0.530178i | 0.889477 | − | 0.456980i | \(-0.151069\pi\) |
−0.159750 | + | 0.987158i | \(0.551069\pi\) | |||||||
\(878\) | 836077. | + | 2.57318e6i | 0.0366024 | + | 0.112651i | ||||
\(879\) | 6.51278e6 | + | 2.00443e7i | 0.284311 | + | 0.875020i | ||||
\(880\) | 841433. | + | 7.23453e6i | 0.0366280 | + | 0.314922i | ||||
\(881\) | 7.20527e6 | − | 2.21755e7i | 0.312760 | − | 0.962575i | −0.663907 | − | 0.747815i | \(-0.731103\pi\) |
0.976667 | − | 0.214760i | \(-0.0688969\pi\) | |||||||
\(882\) | −319291. | −0.0138202 | ||||||||
\(883\) | 2.39863e6 | − | 7.38221e6i | 0.103529 | − | 0.318629i | −0.885854 | − | 0.463965i | \(-0.846426\pi\) |
0.989382 | + | 0.145336i | \(0.0464264\pi\) | |||||||
\(884\) | −201239. | + | 146208.i | −0.00866126 | + | 0.00629277i | ||||
\(885\) | 1.44938e6 | − | 2.57583e6i | 0.0622049 | − | 0.110550i | ||||
\(886\) | 1.05902e7 | + | 7.69424e6i | 0.453232 | + | 0.329292i | ||||
\(887\) | −1.70974e7 | + | 1.24220e7i | −0.729659 | + | 0.530129i | −0.889456 | − | 0.457021i | \(-0.848916\pi\) |
0.159796 | + | 0.987150i | \(0.448916\pi\) | |||||||
\(888\) | 3.33522e6 | − | 2.42318e6i | 0.141936 | − | 0.103122i | ||||
\(889\) | −2.59004e7 | − | 1.88177e7i | −1.09914 | − | 0.798569i | ||||
\(890\) | 1.13151e7 | − | 5.18863e6i | 0.478834 | − | 0.219572i | ||||
\(891\) | −2.70141e6 | + | 1.96269e6i | −0.113998 | + | 0.0828242i | ||||
\(892\) | 5.90842e6 | − | 1.81843e7i | 0.248633 | − | 0.765215i | ||||
\(893\) | −1.28786e7 | −0.540429 | ||||||||
\(894\) | −2.70789e6 | + | 8.33403e6i | −0.113315 | + | 0.348748i | ||||
\(895\) | 3.36804e7 | − | 1.54444e7i | 1.40546 | − | 0.644485i | ||||
\(896\) | 675337. | + | 2.07847e6i | 0.0281028 | + | 0.0864917i | ||||
\(897\) | 337019. | + | 1.03724e6i | 0.0139853 | + | 0.0430425i | ||||
\(898\) | −1.25399e7 | − | 9.11078e6i | −0.518924 | − | 0.377020i | ||||
\(899\) | 1.69144e7 | 0.698003 | ||||||||
\(900\) | 3.73541e6 | + | 1.56499e6i | 0.153721 | + | 0.0644027i | ||||
\(901\) | −561331. | −0.0230360 | ||||||||
\(902\) | 2.68846e7 | + | 1.95328e7i | 1.10024 | + | 0.799371i | ||||
\(903\) | 2.45998e6 | + | 7.57104e6i | 0.100395 | + | 0.308984i | ||||
\(904\) | 772921. | + | 2.37881e6i | 0.0314568 | + | 0.0968139i | ||||
\(905\) | 2.16061e7 | + | 4.34316e6i | 0.876912 | + | 0.176273i | ||||
\(906\) | 2.61546e6 | − | 8.04955e6i | 0.105859 | − | 0.325800i | ||||
\(907\) | −2.22165e6 | −0.0896723 | −0.0448362 | − | 0.998994i | \(-0.514277\pi\) | ||||
−0.0448362 | + | 0.998994i | \(0.514277\pi\) | |||||||
\(908\) | −6.10784e6 | + | 1.87980e7i | −0.245851 | + | 0.756653i | ||||
\(909\) | −4.16448e6 | + | 3.02567e6i | −0.167167 | + | 0.121454i | ||||
\(910\) | −216927. | − | 1.86510e6i | −0.00868379 | − | 0.0746620i | ||||
\(911\) | −1.37003e7 | − | 9.95384e6i | −0.546932 | − | 0.397370i | 0.279721 | − | 0.960081i | \(-0.409758\pi\) |
−0.826653 | + | 0.562712i | \(0.809758\pi\) | |||||||
\(912\) | −2.75414e6 | + | 2.00100e6i | −0.109648 | + | 0.0796636i | ||||
\(913\) | 2.89649e7 | − | 2.10442e7i | 1.14999 | − | 0.835519i | ||||
\(914\) | −1.47188e7 | − | 1.06938e7i | −0.582782 | − | 0.423416i | ||||
\(915\) | 1.31666e6 | + | 264668.i | 0.0519900 | + | 0.0104508i | ||||
\(916\) | −4.24107e6 | + | 3.08132e6i | −0.167008 | + | 0.121338i | ||||
\(917\) | 8.74562e6 | − | 2.69162e7i | 0.343453 | − | 1.05704i | ||||
\(918\) | 720118. | 0.0282031 | ||||||||
\(919\) | 1.06120e7 | − | 3.26605e7i | 0.414486 | − | 1.27566i | −0.498224 | − | 0.867048i | \(-0.666014\pi\) |
0.912710 | − | 0.408608i | \(-0.133986\pi\) | |||||||
\(920\) | −4.66452e6 | − | 5.06656e6i | −0.181693 | − | 0.197353i | ||||
\(921\) | 7.30673e6 | + | 2.24878e7i | 0.283840 | + | 0.873570i | ||||
\(922\) | 6.92270e6 | + | 2.13059e7i | 0.268193 | + | 0.825414i | ||||
\(923\) | 767177. | + | 557387.i | 0.0296409 | + | 0.0215354i | ||||
\(924\) | −9.77560e6 | −0.376672 | ||||||||
\(925\) | 1.45944e7 | − | 1.69486e7i | 0.560832 | − | 0.651298i | ||||
\(926\) | 3.17010e7 | 1.21491 | ||||||||
\(927\) | −3.71202e6 | − | 2.69694e6i | −0.141877 | − | 0.103079i | ||||
\(928\) | −1.22214e6 | − | 3.76135e6i | −0.0465854 | − | 0.143375i | ||||
\(929\) | 1.19715e7 | + | 3.68444e7i | 0.455101 | + | 1.40066i | 0.871016 | + | 0.491254i | \(0.163461\pi\) |
−0.415915 | + | 0.909403i | \(0.636539\pi\) | |||||||
\(930\) | −4.32198e6 | + | 7.68098e6i | −0.163861 | + | 0.291212i | ||||
\(931\) | 449956. | − | 1.38482e6i | 0.0170136 | − | 0.0523624i | ||||
\(932\) | 2.37205e7 | 0.894506 | ||||||||
\(933\) | 4.99328e6 | − | 1.53677e7i | 0.187794 | − | 0.577971i | ||||
\(934\) | 1.97517e7 | − | 1.43505e7i | 0.740862 | − | 0.538268i | ||||
\(935\) | 4.75876e6 | + | 5.16893e6i | 0.178019 | + | 0.193362i | ||||
\(936\) | −264022. | − | 191823.i | −0.00985033 | − | 0.00715669i | ||||
\(937\) | −1.49177e7 | + | 1.08383e7i | −0.555076 | + | 0.403286i | −0.829653 | − | 0.558279i | \(-0.811462\pi\) |
0.274578 | + | 0.961565i | \(0.411462\pi\) | |||||||
\(938\) | 2.38105e7 | − | 1.72993e7i | 0.883610 | − | 0.641980i | ||||
\(939\) | 2.84538e6 | + | 2.06729e6i | 0.105312 | + | 0.0765133i | ||||
\(940\) | 5.28028e6 | + | 5.73540e6i | 0.194912 | + | 0.211711i | ||||
\(941\) | 1.38796e7 | − | 1.00841e7i | 0.510978 | − | 0.371247i | −0.302216 | − | 0.953239i | \(-0.597727\pi\) |
0.813194 | + | 0.581992i | \(0.197727\pi\) | |||||||
\(942\) | −1.76775e6 | + | 5.44056e6i | −0.0649072 | + | 0.199764i | ||||
\(943\) | −3.14221e7 | −1.15068 | ||||||||
\(944\) | 464731. | − | 1.43029e6i | 0.0169735 | − | 0.0522390i | ||||
\(945\) | −2.66568e6 | + | 4.73741e6i | −0.0971019 | + | 0.172569i | ||||
\(946\) | 4.17151e6 | + | 1.28386e7i | 0.151553 | + | 0.466433i | ||||
\(947\) | 1.30875e7 | + | 4.02790e7i | 0.474220 | + | 1.45950i | 0.847006 | + | 0.531583i | \(0.178403\pi\) |
−0.372786 | + | 0.927917i | \(0.621597\pi\) | |||||||
\(948\) | 1.40375e6 | + | 1.01989e6i | 0.0507306 | + | 0.0368580i | ||||
\(949\) | −2.61205e6 | −0.0941489 | ||||||||
\(950\) | −1.20517e7 | + | 1.39957e7i | −0.433251 | + | 0.503137i | ||||
\(951\) | −1.97029e7 | −0.706445 | ||||||||
\(952\) | 1.70558e6 | + | 1.23918e6i | 0.0609929 | + | 0.0443139i | ||||
\(953\) | 5.87392e6 | + | 1.80781e7i | 0.209506 | + | 0.644792i | 0.999498 | + | 0.0316755i | \(0.0100843\pi\) |
−0.789993 | + | 0.613116i | \(0.789916\pi\) | |||||||
\(954\) | −227578. | − | 700413.i | −0.00809579 | − | 0.0249163i | ||||
\(955\) | 7.65642e6 | + | 8.31634e6i | 0.271655 | + | 0.295069i | ||||
\(956\) | −5.46725e6 | + | 1.68265e7i | −0.193475 | + | 0.595454i | ||||
\(957\) | 1.76906e7 | 0.624401 | ||||||||
\(958\) | 1.71731e6 | − | 5.28535e6i | 0.0604555 | − | 0.186063i | ||||
\(959\) | −3.65413e7 | + | 2.65488e7i | −1.28303 | + | 0.932178i | ||||
\(960\) | 2.02035e6 | + | 406120.i | 0.0707535 | + | 0.0142225i | ||||
\(961\) | 7.64492e6 | + | 5.55436e6i | 0.267033 | + | 0.194011i | ||||
\(962\) | −1.45808e6 | + | 1.05935e6i | −0.0507975 | + | 0.0369065i | ||||
\(963\) | −1.05766e7 | + | 7.68435e6i | −0.367519 | + | 0.267019i | ||||
\(964\) | −2.04878e7 | − | 1.48853e7i | −0.710073 | − | 0.515898i | ||||
\(965\) | −2.73734e6 | − | 2.35352e7i | −0.0946259 | − | 0.813580i | ||||
\(966\) | 7.47808e6 | − | 5.43314e6i | 0.257838 | − | 0.187330i | ||||
\(967\) | −7.70686e6 | + | 2.37193e7i | −0.265040 | + | 0.815709i | 0.726644 | + | 0.687014i | \(0.241079\pi\) |
−0.991684 | + | 0.128695i | \(0.958921\pi\) | |||||||
\(968\) | −6.26973e6 | −0.215060 | ||||||||
\(969\) | −1.01481e6 | + | 3.12328e6i | −0.0347198 | + | 0.106857i | ||||
\(970\) | −3.79648e7 | − | 7.63151e6i | −1.29554 | − | 0.260424i | ||||
\(971\) | 2.30340e6 | + | 7.08913e6i | 0.0784008 | + | 0.241293i | 0.982574 | − | 0.185874i | \(-0.0595116\pi\) |
−0.904173 | + | 0.427167i | \(0.859512\pi\) | |||||||
\(972\) | 291954. | + | 898543.i | 0.00991172 | + | 0.0305052i | ||||
\(973\) | −3.60515e7 | − | 2.61930e7i | −1.22079 | − | 0.886957i | ||||
\(974\) | −2.05456e7 | −0.693940 | ||||||||
\(975\) | −1.63303e6 | − | 684173.i | −0.0550152 | − | 0.0230491i | ||||
\(976\) | 683356. | 0.0229627 | ||||||||
\(977\) | −4.85182e6 | − | 3.52505e6i | −0.162618 | − | 0.118149i | 0.503500 | − | 0.863995i | \(-0.332045\pi\) |
−0.666118 | + | 0.745846i | \(0.732045\pi\) | |||||||
\(978\) | −1.35600e6 | − | 4.17334e6i | −0.0453329 | − | 0.139520i | ||||
\(979\) | 8.75511e6 | + | 2.69455e7i | 0.291948 | + | 0.898523i | ||||
\(980\) | −801207. | + | 367399.i | −0.0266489 | + | 0.0122200i | ||||
\(981\) | 5.65639e6 | − | 1.74086e7i | 0.187658 | − | 0.577552i | ||||
\(982\) | 1.92473e7 | 0.636929 | ||||||||
\(983\) | −1.16746e7 | + | 3.59306e7i | −0.385351 | + | 1.18599i | 0.550874 | + | 0.834588i | \(0.314294\pi\) |
−0.936225 | + | 0.351401i | \(0.885706\pi\) | |||||||
\(984\) | 7.60682e6 | − | 5.52668e6i | 0.250447 | − | 0.181960i | ||||
\(985\) | 2.90633e7 | − | 1.33272e7i | 0.954452 | − | 0.437671i | ||||
\(986\) | −3.08654e6 | − | 2.24250e6i | −0.101107 | − | 0.0734582i | ||||
\(987\) | −8.46525e6 | + | 6.15037e6i | −0.276597 | + | 0.200959i | ||||
\(988\) | 1.20404e6 | − | 874787.i | 0.0392418 | − | 0.0285108i | ||||
\(989\) | −1.03266e7 | − | 7.50272e6i | −0.335712 | − | 0.243909i | ||||
\(990\) | −4.52032e6 | + | 8.03347e6i | −0.146582 | + | 0.260505i | ||||
\(991\) | 6.55185e6 | − | 4.76020e6i | 0.211924 | − | 0.153972i | −0.476760 | − | 0.879034i | \(-0.658189\pi\) |
0.688684 | + | 0.725062i | \(0.258189\pi\) | |||||||
\(992\) | −1.38580e6 | + | 4.26506e6i | −0.0447118 | + | 0.137609i | ||||
\(993\) | −3.56780e6 | −0.114823 | ||||||||
\(994\) | 2.48359e6 | − | 7.64371e6i | 0.0797287 | − | 0.245380i | ||||
\(995\) | −4.04917e6 | − | 3.48142e7i | −0.129661 | − | 1.11481i | ||||
\(996\) | −3.13037e6 | − | 9.63430e6i | −0.0999880 | − | 0.307731i | ||||
\(997\) | −6.40260e6 | − | 1.97052e7i | −0.203995 | − | 0.627831i | −0.999753 | − | 0.0222167i | \(-0.992928\pi\) |
0.795759 | − | 0.605614i | \(-0.207072\pi\) | |||||||
\(998\) | −1.80949e7 | − | 1.31467e7i | −0.575083 | − | 0.417822i | ||||
\(999\) | 5.21761e6 | 0.165409 |
(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 | 150.6.g.c.91.4 | yes | 24 | |
25.11 | even | 5 | inner | 150.6.g.c.61.4 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.6.g.c.61.4 | ✓ | 24 | 25.11 | even | 5 | inner | |
150.6.g.c.91.4 | yes | 24 | 1.1 | even | 1 | trivial |