Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,6,Mod(6,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.6");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.d (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: | \(4.00959549532\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 6.6 | ||
Character | \(\chi\) | \(=\) | 25.6 |
Dual form | 25.6.d.a.21.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.447636 | − | 1.37768i | −0.0791316 | − | 0.243542i | 0.903663 | − | 0.428245i | \(-0.140868\pi\) |
−0.982794 | + | 0.184703i | \(0.940868\pi\) | |||||||
\(3\) | −17.2377 | + | 12.5239i | −1.10580 | + | 0.803410i | −0.981997 | − | 0.188896i | \(-0.939509\pi\) |
−0.123803 | + | 0.992307i | \(0.539509\pi\) | |||||||
\(4\) | 24.1909 | − | 17.5757i | 0.755966 | − | 0.549241i | ||||
\(5\) | 14.3787 | − | 54.0209i | 0.257213 | − | 0.966355i | ||||
\(6\) | 24.9702 | + | 18.1419i | 0.283168 | + | 0.205734i | ||||
\(7\) | 250.563 | 1.93273 | 0.966365 | − | 0.257173i | \(-0.0827909\pi\) | ||||
0.966365 | + | 0.257173i | \(0.0827909\pi\) | |||||||
\(8\) | −72.5441 | − | 52.7064i | −0.400754 | − | 0.291165i | ||||
\(9\) | 65.1987 | − | 200.661i | 0.268307 | − | 0.825765i | ||||
\(10\) | −80.8600 | + | 4.37248i | −0.255702 | + | 0.0138270i | ||||
\(11\) | −170.079 | − | 523.448i | −0.423807 | − | 1.30434i | −0.904132 | − | 0.427253i | \(-0.859481\pi\) |
0.480325 | − | 0.877090i | \(-0.340519\pi\) | |||||||
\(12\) | −196.879 | + | 605.931i | −0.394681 | + | 1.21470i | ||||
\(13\) | −92.7873 | + | 285.570i | −0.152276 | + | 0.468656i | −0.997875 | − | 0.0651626i | \(-0.979243\pi\) |
0.845599 | + | 0.533818i | \(0.179243\pi\) | |||||||
\(14\) | −112.161 | − | 345.196i | −0.152940 | − | 0.470701i | ||||
\(15\) | 428.698 | + | 1111.27i | 0.491953 | + | 1.27524i | ||||
\(16\) | 255.544 | − | 786.484i | 0.249555 | − | 0.768051i | ||||
\(17\) | 637.810 | + | 463.396i | 0.535265 | + | 0.388893i | 0.822324 | − | 0.569020i | \(-0.192677\pi\) |
−0.287058 | + | 0.957913i | \(0.592677\pi\) | |||||||
\(18\) | −305.632 | −0.222340 | ||||||||
\(19\) | 432.265 | + | 314.059i | 0.274705 | + | 0.199585i | 0.716604 | − | 0.697480i | \(-0.245695\pi\) |
−0.441900 | + | 0.897064i | \(0.645695\pi\) | |||||||
\(20\) | −601.623 | − | 1559.53i | −0.336318 | − | 0.871803i | ||||
\(21\) | −4319.13 | + | 3138.03i | −2.13721 | + | 1.55278i | ||||
\(22\) | −645.012 | + | 468.629i | −0.284126 | + | 0.206430i | ||||
\(23\) | 252.709 | + | 777.759i | 0.0996097 | + | 0.306567i | 0.988428 | − | 0.151693i | \(-0.0484726\pi\) |
−0.888818 | + | 0.458261i | \(0.848473\pi\) | |||||||
\(24\) | 1910.59 | 0.677078 | ||||||||
\(25\) | −2711.51 | − | 1553.49i | −0.867683 | − | 0.497118i | ||||
\(26\) | 434.960 | 0.126187 | ||||||||
\(27\) | −210.778 | − | 648.708i | −0.0556437 | − | 0.171254i | ||||
\(28\) | 6061.34 | − | 4403.82i | 1.46108 | − | 1.06154i | ||||
\(29\) | 810.866 | − | 589.129i | 0.179042 | − | 0.130081i | −0.494655 | − | 0.869090i | \(-0.664706\pi\) |
0.673697 | + | 0.739008i | \(0.264706\pi\) | |||||||
\(30\) | 1339.08 | − | 1088.06i | 0.271646 | − | 0.220723i | ||||
\(31\) | 1564.17 | + | 1136.43i | 0.292334 | + | 0.212393i | 0.724279 | − | 0.689507i | \(-0.242173\pi\) |
−0.431945 | + | 0.901900i | \(0.642173\pi\) | |||||||
\(32\) | −4067.34 | −0.702159 | ||||||||
\(33\) | 9487.39 | + | 6892.99i | 1.51657 | + | 1.10185i | ||||
\(34\) | 352.906 | − | 1086.13i | 0.0523554 | − | 0.161133i | ||||
\(35\) | 3602.75 | − | 13535.6i | 0.497124 | − | 1.86770i | ||||
\(36\) | −1949.55 | − | 6000.09i | −0.250713 | − | 0.771616i | ||||
\(37\) | −4135.60 | + | 12728.1i | −0.496632 | + | 1.52848i | 0.317767 | + | 0.948169i | \(0.397067\pi\) |
−0.814398 | + | 0.580306i | \(0.802933\pi\) | |||||||
\(38\) | 239.176 | − | 736.108i | 0.0268694 | − | 0.0826956i | ||||
\(39\) | −1977.02 | − | 6084.63i | −0.208137 | − | 0.640579i | ||||
\(40\) | −3890.33 | + | 3161.05i | −0.384447 | + | 0.312379i | ||||
\(41\) | −3664.16 | + | 11277.1i | −0.340420 | + | 1.04770i | 0.623571 | + | 0.781767i | \(0.285681\pi\) |
−0.963990 | + | 0.265937i | \(0.914319\pi\) | |||||||
\(42\) | 6256.61 | + | 4545.69i | 0.547288 | + | 0.397628i | ||||
\(43\) | −7125.31 | −0.587669 | −0.293835 | − | 0.955856i | \(-0.594931\pi\) | ||||
−0.293835 | + | 0.955856i | \(0.594931\pi\) | |||||||
\(44\) | −13314.3 | − | 9673.43i | −1.03678 | − | 0.753267i | ||||
\(45\) | −9902.41 | − | 6407.32i | −0.728970 | − | 0.471678i | ||||
\(46\) | 958.384 | − | 696.306i | 0.0667797 | − | 0.0485183i | ||||
\(47\) | 6175.90 | − | 4487.05i | 0.407808 | − | 0.296290i | −0.364906 | − | 0.931044i | \(-0.618899\pi\) |
0.772714 | + | 0.634755i | \(0.218899\pi\) | |||||||
\(48\) | 5444.87 | + | 16757.6i | 0.341102 | + | 1.04981i | ||||
\(49\) | 45974.7 | 2.73545 | ||||||||
\(50\) | −926.453 | + | 4431.00i | −0.0524081 | + | 0.250655i | ||||
\(51\) | −16797.9 | −0.904336 | ||||||||
\(52\) | 2774.49 | + | 8539.00i | 0.142290 | + | 0.437924i | ||||
\(53\) | −16246.0 | + | 11803.4i | −0.794433 | + | 0.577189i | −0.909276 | − | 0.416194i | \(-0.863364\pi\) |
0.114843 | + | 0.993384i | \(0.463364\pi\) | |||||||
\(54\) | −799.362 | + | 580.770i | −0.0373043 | + | 0.0271032i | ||||
\(55\) | −30722.6 | + | 1661.32i | −1.36947 | + | 0.0740535i | ||||
\(56\) | −18176.9 | − | 13206.3i | −0.774549 | − | 0.562743i | ||||
\(57\) | −11384.5 | −0.464117 | ||||||||
\(58\) | −1174.61 | − | 853.401i | −0.0458482 | − | 0.0333106i | ||||
\(59\) | −1157.59 | + | 3562.71i | −0.0432939 | + | 0.133245i | −0.970367 | − | 0.241635i | \(-0.922316\pi\) |
0.927073 | + | 0.374880i | \(0.122316\pi\) | |||||||
\(60\) | 29902.0 | + | 19348.0i | 1.07232 | + | 0.693839i | ||||
\(61\) | 3130.97 | + | 9636.15i | 0.107735 | + | 0.331573i | 0.990363 | − | 0.138499i | \(-0.0442279\pi\) |
−0.882628 | + | 0.470072i | \(0.844228\pi\) | |||||||
\(62\) | 865.468 | − | 2663.64i | 0.0285938 | − | 0.0880026i | ||||
\(63\) | 16336.4 | − | 50278.2i | 0.518566 | − | 1.59598i | ||||
\(64\) | −6356.72 | − | 19564.0i | −0.193992 | − | 0.597045i | ||||
\(65\) | 14092.6 | + | 9118.56i | 0.413720 | + | 0.267697i | ||||
\(66\) | 5249.46 | − | 16156.2i | 0.148339 | − | 0.456540i | ||||
\(67\) | 30825.1 | + | 22395.7i | 0.838913 | + | 0.609506i | 0.922067 | − | 0.387031i | \(-0.126499\pi\) |
−0.0831535 | + | 0.996537i | \(0.526499\pi\) | |||||||
\(68\) | 23573.7 | 0.618238 | ||||||||
\(69\) | −14096.7 | − | 10241.9i | −0.356448 | − | 0.258974i | ||||
\(70\) | −20260.5 | + | 1095.58i | −0.494203 | + | 0.0267238i | ||||
\(71\) | 21095.5 | − | 15326.8i | 0.496643 | − | 0.360832i | −0.311090 | − | 0.950380i | \(-0.600694\pi\) |
0.807733 | + | 0.589548i | \(0.200694\pi\) | |||||||
\(72\) | −15305.9 | + | 11120.4i | −0.347959 | + | 0.252807i | ||||
\(73\) | 5966.97 | + | 18364.4i | 0.131053 | + | 0.403339i | 0.994955 | − | 0.100320i | \(-0.0319867\pi\) |
−0.863902 | + | 0.503659i | \(0.831987\pi\) | |||||||
\(74\) | 19386.5 | 0.411547 | ||||||||
\(75\) | 66196.1 | − | 7180.05i | 1.35887 | − | 0.147392i | ||||
\(76\) | 15976.7 | 0.317288 | ||||||||
\(77\) | −42615.4 | − | 131157.i | −0.819105 | − | 2.52094i | ||||
\(78\) | −7497.71 | + | 5447.40i | −0.139538 | + | 0.101380i | ||||
\(79\) | −47406.2 | + | 34442.6i | −0.854609 | + | 0.620910i | −0.926413 | − | 0.376509i | \(-0.877124\pi\) |
0.0718038 | + | 0.997419i | \(0.477124\pi\) | |||||||
\(80\) | −38812.2 | − | 25113.3i | −0.678021 | − | 0.438711i | ||||
\(81\) | 53236.0 | + | 38678.2i | 0.901556 | + | 0.655018i | ||||
\(82\) | 17176.5 | 0.282098 | ||||||||
\(83\) | −67755.1 | − | 49227.0i | −1.07956 | − | 0.784347i | −0.101954 | − | 0.994789i | \(-0.532510\pi\) |
−0.977606 | + | 0.210442i | \(0.932510\pi\) | |||||||
\(84\) | −49330.5 | + | 151824.i | −0.762811 | + | 2.34769i | ||||
\(85\) | 34203.9 | − | 27792.0i | 0.513486 | − | 0.417228i | ||||
\(86\) | 3189.55 | + | 9816.42i | 0.0465032 | + | 0.143122i | ||||
\(87\) | −6599.27 | + | 20310.5i | −0.0934755 | + | 0.287688i | ||||
\(88\) | −15250.9 | + | 46937.3i | −0.209936 | + | 0.646118i | ||||
\(89\) | −5737.64 | − | 17658.7i | −0.0767818 | − | 0.236310i | 0.905298 | − | 0.424778i | \(-0.139648\pi\) |
−0.982079 | + | 0.188468i | \(0.939648\pi\) | |||||||
\(90\) | −4394.58 | + | 16510.5i | −0.0571888 | + | 0.214859i | ||||
\(91\) | −23249.0 | + | 71553.2i | −0.294308 | + | 0.905786i | ||||
\(92\) | 19783.0 | + | 14373.2i | 0.243681 | + | 0.177045i | ||||
\(93\) | −41195.3 | −0.493901 | ||||||||
\(94\) | −8946.29 | − | 6499.86i | −0.104430 | − | 0.0758725i | ||||
\(95\) | 23181.1 | − | 18835.6i | 0.263527 | − | 0.214126i | ||||
\(96\) | 70111.6 | − | 50939.1i | 0.776447 | − | 0.564122i | ||||
\(97\) | 6626.17 | − | 4814.20i | 0.0715045 | − | 0.0519511i | −0.551459 | − | 0.834202i | \(-0.685929\pi\) |
0.622963 | + | 0.782251i | \(0.285929\pi\) | |||||||
\(98\) | −20579.9 | − | 63338.5i | −0.216461 | − | 0.666197i | ||||
\(99\) | −116124. | −1.19079 | ||||||||
\(100\) | −92897.7 | + | 10076.3i | −0.928977 | + | 0.100763i | ||||
\(101\) | 67062.0 | 0.654143 | 0.327072 | − | 0.945000i | \(-0.393938\pi\) | ||||
0.327072 | + | 0.945000i | \(0.393938\pi\) | |||||||
\(102\) | 7519.35 | + | 23142.2i | 0.0715616 | + | 0.220244i | ||||
\(103\) | 37310.5 | − | 27107.7i | 0.346528 | − | 0.251767i | −0.400883 | − | 0.916129i | \(-0.631297\pi\) |
0.747411 | + | 0.664362i | \(0.231297\pi\) | |||||||
\(104\) | 21782.5 | − | 15825.9i | 0.197481 | − | 0.143478i | ||||
\(105\) | 107416. | + | 278444.i | 0.950813 | + | 2.46470i | ||||
\(106\) | 23533.7 | + | 17098.2i | 0.203435 | + | 0.147804i | ||||
\(107\) | −74620.8 | −0.630087 | −0.315043 | − | 0.949077i | \(-0.602019\pi\) | ||||
−0.315043 | + | 0.949077i | \(0.602019\pi\) | |||||||
\(108\) | −16500.4 | − | 11988.3i | −0.136124 | − | 0.0989002i | ||||
\(109\) | 37324.2 | − | 114872.i | 0.300901 | − | 0.926079i | −0.680274 | − | 0.732958i | \(-0.738139\pi\) |
0.981175 | − | 0.193121i | \(-0.0618609\pi\) | |||||||
\(110\) | 16041.3 | + | 41582.3i | 0.126403 | + | 0.327663i | ||||
\(111\) | −88117.2 | − | 271197.i | −0.678818 | − | 2.08919i | ||||
\(112\) | 64029.8 | − | 197064.i | 0.482322 | − | 1.48444i | ||||
\(113\) | −38442.6 | + | 118314.i | −0.283215 | + | 0.871646i | 0.703713 | + | 0.710484i | \(0.251524\pi\) |
−0.986928 | + | 0.161162i | \(0.948476\pi\) | |||||||
\(114\) | 5096.12 | + | 15684.2i | 0.0367263 | + | 0.113032i | ||||
\(115\) | 45648.9 | − | 2468.45i | 0.321874 | − | 0.0174052i | ||||
\(116\) | 9261.23 | − | 28503.1i | 0.0639033 | − | 0.196674i | ||||
\(117\) | 51253.1 | + | 37237.6i | 0.346143 | + | 0.251488i | ||||
\(118\) | 5426.46 | 0.0358766 | ||||||||
\(119\) | 159811. | + | 116110.i | 1.03452 | + | 0.751625i | ||||
\(120\) | 27471.7 | − | 103212.i | 0.174153 | − | 0.654297i | ||||
\(121\) | −114778. | + | 83391.2i | −0.712682 | + | 0.517794i | ||||
\(122\) | 11874.0 | − | 8626.97i | 0.0722267 | − | 0.0524758i | ||||
\(123\) | −78072.1 | − | 240281.i | −0.465300 | − | 1.43205i | ||||
\(124\) | 57812.3 | 0.337649 | ||||||||
\(125\) | −122909. | + | 124141.i | −0.703572 | + | 0.710624i | ||||
\(126\) | −76580.1 | −0.429724 | ||||||||
\(127\) | −41568.5 | − | 127935.i | −0.228694 | − | 0.703849i | −0.997896 | − | 0.0648420i | \(-0.979346\pi\) |
0.769201 | − | 0.639007i | \(-0.220654\pi\) | |||||||
\(128\) | −129405. | + | 94018.2i | −0.698113 | + | 0.507209i | ||||
\(129\) | 122824. | − | 89236.9i | 0.649844 | − | 0.472139i | ||||
\(130\) | 6254.13 | − | 23496.9i | 0.0324570 | − | 0.121942i | ||||
\(131\) | 263822. | + | 191678.i | 1.34318 | + | 0.975874i | 0.999321 | + | 0.0368510i | \(0.0117327\pi\) |
0.343854 | + | 0.939023i | \(0.388267\pi\) | |||||||
\(132\) | 350658. | 1.75166 | ||||||||
\(133\) | 108310. | + | 78691.5i | 0.530930 | + | 0.385744i | ||||
\(134\) | 17055.8 | − | 52492.3i | 0.0820559 | − | 0.252542i | ||||
\(135\) | −38074.5 | + | 2058.86i | −0.179804 | + | 0.00972285i | ||||
\(136\) | −21845.4 | − | 67233.3i | −0.101278 | − | 0.311700i | ||||
\(137\) | −54834.5 | + | 168763.i | −0.249604 | + | 0.768204i | 0.745240 | + | 0.666796i | \(0.232335\pi\) |
−0.994845 | + | 0.101408i | \(0.967665\pi\) | |||||||
\(138\) | −7799.84 | + | 24005.5i | −0.0348649 | + | 0.107303i | ||||
\(139\) | 11150.2 | + | 34316.8i | 0.0489492 | + | 0.150650i | 0.972543 | − | 0.232721i | \(-0.0747630\pi\) |
−0.923594 | + | 0.383371i | \(0.874763\pi\) | |||||||
\(140\) | −150744. | − | 390760.i | −0.650012 | − | 1.68496i | ||||
\(141\) | −50262.8 | + | 154693.i | −0.212911 | + | 0.655274i | ||||
\(142\) | −30558.6 | − | 22202.1i | −0.127178 | − | 0.0924003i | ||||
\(143\) | 165262. | 0.675824 | ||||||||
\(144\) | −141155. | − | 102555.i | −0.567272 | − | 0.412147i | ||||
\(145\) | −20166.1 | − | 52274.6i | −0.0796529 | − | 0.206476i | ||||
\(146\) | 22629.3 | − | 16441.2i | 0.0878597 | − | 0.0638338i | ||||
\(147\) | −792498. | + | 575784.i | −3.02486 | + | 2.19769i | ||||
\(148\) | 123661. | + | 380590.i | 0.464065 | + | 1.42825i | ||||
\(149\) | −386662. | −1.42681 | −0.713404 | − | 0.700753i | \(-0.752848\pi\) | ||||
−0.713404 | + | 0.700753i | \(0.752848\pi\) | |||||||
\(150\) | −39523.6 | − | 87983.1i | −0.143426 | − | 0.319279i | ||||
\(151\) | −196833. | −0.702516 | −0.351258 | − | 0.936279i | \(-0.614246\pi\) | ||||
−0.351258 | + | 0.936279i | \(0.614246\pi\) | |||||||
\(152\) | −14805.4 | − | 45566.3i | −0.0519769 | − | 0.159969i | ||||
\(153\) | 134570. | − | 97770.7i | 0.464750 | − | 0.337660i | ||||
\(154\) | −161616. | + | 117421.i | −0.549139 | + | 0.398973i | ||||
\(155\) | 83881.8 | − | 68157.3i | 0.280439 | − | 0.227868i | ||||
\(156\) | −154768. | − | 112445.i | −0.509177 | − | 0.369939i | ||||
\(157\) | 239689. | 0.776067 | 0.388033 | − | 0.921645i | \(-0.373155\pi\) | ||||
0.388033 | + | 0.921645i | \(0.373155\pi\) | |||||||
\(158\) | 68671.7 | + | 49892.9i | 0.218844 | + | 0.159000i | ||||
\(159\) | 132219. | − | 406928.i | 0.414764 | − | 1.27651i | ||||
\(160\) | −58482.9 | + | 219721.i | −0.180605 | + | 0.678535i | ||||
\(161\) | 63319.5 | + | 194878.i | 0.192519 | + | 0.592512i | ||||
\(162\) | 29455.9 | − | 90656.0i | 0.0881830 | − | 0.271399i | ||||
\(163\) | 94462.6 | − | 290726.i | 0.278478 | − | 0.857067i | −0.709800 | − | 0.704403i | \(-0.751215\pi\) |
0.988278 | − | 0.152664i | \(-0.0487853\pi\) | |||||||
\(164\) | 109564. | + | 337204.i | 0.318097 | + | 0.979001i | ||||
\(165\) | 508781. | − | 413405.i | 1.45486 | − | 1.18213i | ||||
\(166\) | −37489.5 | + | 115381.i | −0.105594 | + | 0.324985i | ||||
\(167\) | 231018. | + | 167844.i | 0.640994 | + | 0.465710i | 0.860192 | − | 0.509971i | \(-0.170344\pi\) |
−0.219197 | + | 0.975681i | \(0.570344\pi\) | |||||||
\(168\) | 478722. | 1.30861 | ||||||||
\(169\) | 227442. | + | 165246.i | 0.612567 | + | 0.445056i | ||||
\(170\) | −53599.5 | − | 34681.4i | −0.142245 | − | 0.0920395i | ||||
\(171\) | 91202.5 | − | 66262.5i | 0.238515 | − | 0.173292i | ||||
\(172\) | −172368. | + | 125233.i | −0.444258 | + | 0.322772i | ||||
\(173\) | 57599.8 | + | 177274.i | 0.146321 | + | 0.450329i | 0.997178 | − | 0.0750673i | \(-0.0239172\pi\) |
−0.850858 | + | 0.525396i | \(0.823917\pi\) | |||||||
\(174\) | 30935.4 | 0.0774610 | ||||||||
\(175\) | −679403. | − | 389248.i | −1.67700 | − | 0.960796i | ||||
\(176\) | −455146. | −1.10756 | ||||||||
\(177\) | −24664.8 | − | 75910.5i | −0.0591759 | − | 0.182125i | ||||
\(178\) | −21759.6 | + | 15809.3i | −0.0514756 | + | 0.0373992i | ||||
\(179\) | 650859. | − | 472877.i | 1.51829 | − | 1.10310i | 0.555963 | − | 0.831207i | \(-0.312350\pi\) |
0.962327 | − | 0.271895i | \(-0.0876502\pi\) | |||||||
\(180\) | −352162. | + | 19043.0i | −0.810141 | + | 0.0438081i | ||||
\(181\) | −299087. | − | 217299.i | −0.678580 | − | 0.493017i | 0.194306 | − | 0.980941i | \(-0.437754\pi\) |
−0.872886 | + | 0.487924i | \(0.837754\pi\) | |||||||
\(182\) | 108985. | 0.243886 | ||||||||
\(183\) | −174653. | − | 126893.i | −0.385522 | − | 0.280098i | ||||
\(184\) | 22660.3 | − | 69741.3i | 0.0493425 | − | 0.151861i | ||||
\(185\) | 628117. | + | 406421.i | 1.34931 | + | 0.873066i | ||||
\(186\) | 18440.5 | + | 56754.0i | 0.0390832 | + | 0.120286i | ||||
\(187\) | 134086. | − | 412674.i | 0.280401 | − | 0.862985i | ||||
\(188\) | 70537.4 | − | 217092.i | 0.145554 | − | 0.447970i | ||||
\(189\) | −52813.1 | − | 162542.i | −0.107544 | − | 0.330987i | ||||
\(190\) | −36326.2 | − | 23504.7i | −0.0730022 | − | 0.0472358i | ||||
\(191\) | −218107. | + | 671266.i | −0.432600 | + | 1.33141i | 0.462925 | + | 0.886397i | \(0.346800\pi\) |
−0.895526 | + | 0.445010i | \(0.853200\pi\) | |||||||
\(192\) | 354593. | + | 257627.i | 0.694189 | + | 0.504357i | ||||
\(193\) | −826228. | −1.59664 | −0.798319 | − | 0.602235i | \(-0.794277\pi\) | ||||
−0.798319 | + | 0.602235i | \(0.794277\pi\) | |||||||
\(194\) | −9598.55 | − | 6973.75i | −0.0183105 | − | 0.0133034i | ||||
\(195\) | −357124. | + | 19311.4i | −0.672562 | + | 0.0363686i | ||||
\(196\) | 1.11217e6 | − | 808039.i | 2.06791 | − | 1.50242i | ||||
\(197\) | −207355. | + | 150652.i | −0.380669 | + | 0.276572i | −0.761621 | − | 0.648022i | \(-0.775596\pi\) |
0.380952 | + | 0.924595i | \(0.375596\pi\) | |||||||
\(198\) | 51981.5 | + | 159983.i | 0.0942293 | + | 0.290008i | ||||
\(199\) | 484467. | 0.867225 | 0.433612 | − | 0.901099i | \(-0.357239\pi\) | ||||
0.433612 | + | 0.901099i | \(0.357239\pi\) | |||||||
\(200\) | 114825. | + | 255611.i | 0.202984 | + | 0.451860i | ||||
\(201\) | −811836. | −1.41735 | ||||||||
\(202\) | −30019.4 | − | 92390.1i | −0.0517634 | − | 0.159311i | ||||
\(203\) | 203173. | − | 147614.i | 0.346039 | − | 0.251412i | ||||
\(204\) | −406357. | + | 295236.i | −0.683648 | + | 0.496699i | ||||
\(205\) | 556514. | + | 360091.i | 0.924893 | + | 0.598449i | ||||
\(206\) | −54047.3 | − | 39267.7i | −0.0887373 | − | 0.0644714i | ||||
\(207\) | 172542. | 0.279879 | ||||||||
\(208\) | 200885. | + | 145951.i | 0.321950 | + | 0.233911i | ||||
\(209\) | 90874.5 | − | 279683.i | 0.143905 | − | 0.442895i | ||||
\(210\) | 335524. | − | 272626.i | 0.525019 | − | 0.426599i | ||||
\(211\) | −308911. | − | 950730.i | −0.477669 | − | 1.47011i | −0.842324 | − | 0.538971i | \(-0.818813\pi\) |
0.364655 | − | 0.931143i | \(-0.381187\pi\) | |||||||
\(212\) | −185552. | + | 571071.i | −0.283548 | + | 0.872671i | ||||
\(213\) | −171687. | + | 528398.i | −0.259291 | + | 0.798017i | ||||
\(214\) | 33403.0 | + | 102804.i | 0.0498598 | + | 0.153453i | ||||
\(215\) | −102452. | + | 384916.i | −0.151156 | + | 0.567897i | ||||
\(216\) | −18900.4 | + | 58169.3i | −0.0275636 | + | 0.0848320i | ||||
\(217\) | 391922. | + | 284748.i | 0.565003 | + | 0.410498i | ||||
\(218\) | −174965. | −0.249350 | ||||||||
\(219\) | −332852. | − | 241831.i | −0.468965 | − | 0.340723i | ||||
\(220\) | −714009. | + | 580161.i | −0.994597 | + | 0.808150i | ||||
\(221\) | −191513. | + | 139142.i | −0.263765 | + | 0.191636i | ||||
\(222\) | −334179. | + | 242795.i | −0.455089 | + | 0.330641i | ||||
\(223\) | −108967. | − | 335367.i | −0.146735 | − | 0.451604i | 0.850495 | − | 0.525983i | \(-0.176302\pi\) |
−0.997230 | + | 0.0743792i | \(0.976302\pi\) | |||||||
\(224\) | −1.01912e6 | −1.35708 | ||||||||
\(225\) | −488512. | + | 442808.i | −0.643309 | + | 0.583122i | ||||
\(226\) | 180207. | 0.234694 | ||||||||
\(227\) | −369935. | − | 1.13854e6i | −0.476497 | − | 1.46651i | −0.843928 | − | 0.536457i | \(-0.819762\pi\) |
0.367430 | − | 0.930051i | \(-0.380238\pi\) | |||||||
\(228\) | −275402. | + | 200091.i | −0.350857 | + | 0.254912i | ||||
\(229\) | −923639. | + | 671063.i | −1.16389 | + | 0.845619i | −0.990265 | − | 0.139192i | \(-0.955550\pi\) |
−0.173629 | + | 0.984811i | \(0.555550\pi\) | |||||||
\(230\) | −23834.8 | − | 61784.7i | −0.0297093 | − | 0.0770125i | ||||
\(231\) | 2.37719e6 | + | 1.72713e6i | 2.93112 | + | 2.12958i | ||||
\(232\) | −89874.4 | −0.109627 | ||||||||
\(233\) | 78543.5 | + | 57065.2i | 0.0947808 | + | 0.0688623i | 0.634166 | − | 0.773197i | \(-0.281343\pi\) |
−0.539386 | + | 0.842059i | \(0.681343\pi\) | |||||||
\(234\) | 28358.8 | − | 87279.4i | 0.0338570 | − | 0.104201i | ||||
\(235\) | −153593. | − | 398145.i | −0.181427 | − | 0.470297i | ||||
\(236\) | 34613.9 | + | 106531.i | 0.0404549 | + | 0.124507i | ||||
\(237\) | 385817. | − | 1.18742e6i | 0.446181 | − | 1.37320i | ||||
\(238\) | 88425.0 | − | 272144.i | 0.101189 | − | 0.311427i | ||||
\(239\) | 117976. | + | 363092.i | 0.133597 | + | 0.411171i | 0.995369 | − | 0.0961254i | \(-0.0306450\pi\) |
−0.861772 | + | 0.507296i | \(0.830645\pi\) | |||||||
\(240\) | 983550. | − | 53185.1i | 1.10222 | − | 0.0596022i | ||||
\(241\) | 191806. | − | 590318.i | 0.212725 | − | 0.654701i | −0.786582 | − | 0.617486i | \(-0.788151\pi\) |
0.999307 | − | 0.0372152i | \(-0.0118487\pi\) | |||||||
\(242\) | 166265. | + | 120799.i | 0.182500 | + | 0.132594i | ||||
\(243\) | −1.23632e6 | −1.34312 | ||||||||
\(244\) | 245103. | + | 178078.i | 0.263557 | + | 0.191485i | ||||
\(245\) | 661054. | − | 2.48359e6i | 0.703593 | − | 2.64341i | ||||
\(246\) | −296083. | + | 215117.i | −0.311944 | + | 0.226640i | ||||
\(247\) | −129794. | + | 94301.2i | −0.135367 | + | 0.0983501i | ||||
\(248\) | −53573.8 | − | 164883.i | −0.0553125 | − | 0.170234i | ||||
\(249\) | 1.78446e6 | 1.82393 | ||||||||
\(250\) | 226045. | + | 113760.i | 0.228742 | + | 0.115117i | ||||
\(251\) | 1.54012e6 | 1.54301 | 0.771506 | − | 0.636222i | \(-0.219504\pi\) | ||||
0.771506 | + | 0.636222i | \(0.219504\pi\) | |||||||
\(252\) | −488484. | − | 1.50340e6i | −0.484561 | − | 1.49133i | ||||
\(253\) | 364136. | − | 264560.i | 0.357654 | − | 0.259851i | ||||
\(254\) | −157646. | + | 114536.i | −0.153320 | + | 0.111393i | ||||
\(255\) | −241531. | + | 907438.i | −0.232607 | + | 0.873910i | ||||
\(256\) | −345094. | − | 250726.i | −0.329108 | − | 0.239111i | ||||
\(257\) | −525724. | −0.496507 | −0.248253 | − | 0.968695i | \(-0.579857\pi\) | ||||
−0.248253 | + | 0.968695i | \(0.579857\pi\) | |||||||
\(258\) | −177921. | − | 129267.i | −0.166409 | − | 0.120903i | ||||
\(259\) | −1.03623e6 | + | 3.18918e6i | −0.959856 | + | 2.95413i | ||||
\(260\) | 501178. | − | 27101.0i | 0.459789 | − | 0.0248629i | ||||
\(261\) | −65347.7 | − | 201120.i | −0.0593785 | − | 0.182748i | ||||
\(262\) | 145975. | − | 449265.i | 0.131379 | − | 0.404342i | ||||
\(263\) | 156495. | − | 481641.i | 0.139512 | − | 0.429372i | −0.856753 | − | 0.515727i | \(-0.827522\pi\) |
0.996264 | + | 0.0863547i | \(0.0275218\pi\) | |||||||
\(264\) | −324950. | − | 1.00009e6i | −0.286950 | − | 0.883142i | ||||
\(265\) | 404035. | + | 1.04734e6i | 0.353431 | + | 0.916165i | ||||
\(266\) | 59928.6 | − | 184441.i | 0.0519314 | − | 0.159828i | ||||
\(267\) | 320060. | + | 232537.i | 0.274759 | + | 0.199624i | ||||
\(268\) | 1.13931e6 | 0.968956 | ||||||||
\(269\) | −1.45842e6 | − | 1.05960e6i | −1.22886 | − | 0.892817i | −0.232053 | − | 0.972703i | \(-0.574544\pi\) |
−0.996804 | + | 0.0798865i | \(0.974544\pi\) | |||||||
\(270\) | 19880.0 | + | 51532.9i | 0.0165961 | + | 0.0430205i | ||||
\(271\) | −308422. | + | 224082.i | −0.255107 | + | 0.185346i | −0.707987 | − | 0.706225i | \(-0.750396\pi\) |
0.452880 | + | 0.891571i | \(0.350396\pi\) | |||||||
\(272\) | 527442. | − | 383209.i | 0.432267 | − | 0.314061i | ||||
\(273\) | −495367. | − | 1.52458e6i | −0.402272 | − | 1.23807i | ||||
\(274\) | 257048. | 0.206842 | ||||||||
\(275\) | −352004. | + | 1.68355e6i | −0.280683 | + | 1.34244i | ||||
\(276\) | −521021. | −0.411702 | ||||||||
\(277\) | −350238. | − | 1.07792e6i | −0.274261 | − | 0.844089i | −0.989414 | − | 0.145121i | \(-0.953643\pi\) |
0.715153 | − | 0.698968i | \(-0.246357\pi\) | |||||||
\(278\) | 42286.4 | − | 30722.8i | 0.0328162 | − | 0.0238424i | ||||
\(279\) | 330020. | − | 239773.i | 0.253822 | − | 0.184412i | ||||
\(280\) | −974772. | + | 792042.i | −0.743033 | + | 0.603744i | ||||
\(281\) | −605086. | − | 439621.i | −0.457142 | − | 0.332133i | 0.335267 | − | 0.942123i | \(-0.391173\pi\) |
−0.792409 | + | 0.609990i | \(0.791173\pi\) | |||||||
\(282\) | 235617. | 0.176435 | ||||||||
\(283\) | 1.14709e6 | + | 833408.i | 0.851394 | + | 0.618574i | 0.925530 | − | 0.378674i | \(-0.123620\pi\) |
−0.0741359 | + | 0.997248i | \(0.523620\pi\) | |||||||
\(284\) | 240940. | − | 741539.i | 0.177261 | − | 0.545554i | ||||
\(285\) | −163694. | + | 615001.i | −0.119377 | + | 0.448501i | ||||
\(286\) | −73977.3 | − | 227679.i | −0.0534790 | − | 0.164591i | ||||
\(287\) | −918101. | + | 2.82563e6i | −0.657939 | + | 2.02493i | ||||
\(288\) | −265185. | + | 816156.i | −0.188394 | + | 0.579818i | ||||
\(289\) | −246694. | − | 759247.i | −0.173746 | − | 0.534735i | ||||
\(290\) | −62990.7 | + | 51182.4i | −0.0439826 | + | 0.0357376i | ||||
\(291\) | −53927.4 | + | 165971.i | −0.0373316 | + | 0.114895i | ||||
\(292\) | 467115. | + | 339379.i | 0.320602 | + | 0.232931i | ||||
\(293\) | −314681. | −0.214142 | −0.107071 | − | 0.994251i | \(-0.534147\pi\) | ||||
−0.107071 | + | 0.994251i | \(0.534147\pi\) | |||||||
\(294\) | 1.14800e6 | + | 834069.i | 0.774592 | + | 0.562774i | ||||
\(295\) | 175816. | + | 113761.i | 0.117626 | + | 0.0761095i | ||||
\(296\) | 970865. | − | 705375.i | 0.644065 | − | 0.467940i | ||||
\(297\) | −303716. | + | 220663.i | −0.199791 | + | 0.145157i | ||||
\(298\) | 173084. | + | 532697.i | 0.112906 | + | 0.347488i | ||||
\(299\) | −245553. | −0.158843 | ||||||||
\(300\) | 1.47515e6 | − | 1.33714e6i | 0.946308 | − | 0.857773i | ||||
\(301\) | −1.78534e6 | −1.13581 | ||||||||
\(302\) | 88109.7 | + | 271174.i | 0.0555913 | + | 0.171092i | ||||
\(303\) | −1.15599e6 | + | 839879.i | −0.723351 | + | 0.525546i | ||||
\(304\) | 357465. | − | 259714.i | 0.221845 | − | 0.161180i | ||||
\(305\) | 565572. | − | 30583.1i | 0.348128 | − | 0.0188249i | ||||
\(306\) | −194935. | − | 141629.i | −0.119011 | − | 0.0864665i | ||||
\(307\) | 2.44299e6 | 1.47936 | 0.739682 | − | 0.672956i | \(-0.234976\pi\) | ||||
0.739682 | + | 0.672956i | \(0.234976\pi\) | |||||||
\(308\) | −3.33608e6 | − | 2.42380e6i | −2.00382 | − | 1.45586i | ||||
\(309\) | −303653. | + | 934549.i | −0.180918 | + | 0.556809i | ||||
\(310\) | −131448. | − | 85052.8i | −0.0776870 | − | 0.0502672i | ||||
\(311\) | −172295. | − | 530270.i | −0.101012 | − | 0.310882i | 0.887762 | − | 0.460303i | \(-0.152259\pi\) |
−0.988774 | + | 0.149421i | \(0.952259\pi\) | |||||||
\(312\) | −177278. | + | 545606.i | −0.103102 | + | 0.317316i | ||||
\(313\) | −654406. | + | 2.01406e6i | −0.377560 | + | 1.16201i | 0.564174 | + | 0.825656i | \(0.309195\pi\) |
−0.941735 | + | 0.336356i | \(0.890805\pi\) | |||||||
\(314\) | −107293. | − | 330215.i | −0.0614114 | − | 0.189005i | ||||
\(315\) | −2.48117e6 | − | 1.60544e6i | −1.40890 | − | 0.911626i | ||||
\(316\) | −541445. | + | 1.66640e6i | −0.305026 | + | 0.938774i | ||||
\(317\) | 481864. | + | 350095.i | 0.269325 | + | 0.195676i | 0.714248 | − | 0.699893i | \(-0.246769\pi\) |
−0.444923 | + | 0.895569i | \(0.646769\pi\) | |||||||
\(318\) | −619803. | −0.343705 | ||||||||
\(319\) | −446289. | − | 324248.i | −0.245550 | − | 0.178402i | ||||
\(320\) | −1.14826e6 | + | 62092.0i | −0.626855 | + | 0.0338970i | ||||
\(321\) | 1.28629e6 | − | 934546.i | 0.696750 | − | 0.506218i | ||||
\(322\) | 240135. | − | 174468.i | 0.129067 | − | 0.0937729i | ||||
\(323\) | 130169. | + | 400620.i | 0.0694228 | + | 0.213661i | ||||
\(324\) | 1.96762e6 | 1.04131 | ||||||||
\(325\) | 695225. | − | 630181.i | 0.365104 | − | 0.330946i | ||||
\(326\) | −442813. | −0.230768 | ||||||||
\(327\) | 795265. | + | 2.44758e6i | 0.411285 | + | 1.26580i | ||||
\(328\) | 860189. | − | 624964.i | 0.441478 | − | 0.320753i | ||||
\(329\) | 1.54745e6 | − | 1.12429e6i | 0.788183 | − | 0.572648i | ||||
\(330\) | −797290. | − | 515884.i | −0.403024 | − | 0.260776i | ||||
\(331\) | −2.24353e6 | − | 1.63002e6i | −1.12554 | − | 0.817753i | −0.140501 | − | 0.990081i | \(-0.544871\pi\) |
−0.985040 | + | 0.172328i | \(0.944871\pi\) | |||||||
\(332\) | −2.50426e6 | −1.24691 | ||||||||
\(333\) | 2.28439e6 | + | 1.65971e6i | 1.12891 | + | 0.820202i | ||||
\(334\) | 127824. | − | 393402.i | 0.0626970 | − | 0.192961i | ||||
\(335\) | 1.65306e6 | − | 1.34318e6i | 0.804779 | − | 0.653915i | ||||
\(336\) | 1.36428e6 | + | 4.19883e6i | 0.659259 | + | 2.02899i | ||||
\(337\) | 723601. | − | 2.22702e6i | 0.347076 | − | 1.06819i | −0.613387 | − | 0.789783i | \(-0.710193\pi\) |
0.960463 | − | 0.278408i | \(-0.0898066\pi\) | |||||||
\(338\) | 125845. | − | 387312.i | 0.0599164 | − | 0.184404i | ||||
\(339\) | −819095. | − | 2.52091e6i | −0.387110 | − | 1.19140i | ||||
\(340\) | 338958. | − | 1.27347e6i | 0.159019 | − | 0.597437i | ||||
\(341\) | 328833. | − | 1.01204e6i | 0.153140 | − | 0.471317i | ||||
\(342\) | −132114. | − | 95986.6i | −0.0610779 | − | 0.0443757i | ||||
\(343\) | 7.30834e6 | 3.35416 | ||||||||
\(344\) | 516900. | + | 375550.i | 0.235510 | + | 0.171108i | ||||
\(345\) | −755967. | + | 614253.i | −0.341944 | + | 0.277843i | ||||
\(346\) | 218443. | − | 158708.i | 0.0980954 | − | 0.0712705i | ||||
\(347\) | 403280. | − | 293000.i | 0.179797 | − | 0.130630i | −0.494246 | − | 0.869322i | \(-0.664556\pi\) |
0.674044 | + | 0.738692i | \(0.264556\pi\) | |||||||
\(348\) | 197329. | + | 607315.i | 0.0873458 | + | 0.268823i | ||||
\(349\) | −2.56582e6 | −1.12762 | −0.563810 | − | 0.825905i | \(-0.690665\pi\) | ||||
−0.563810 | + | 0.825905i | \(0.690665\pi\) | |||||||
\(350\) | −232135. | + | 1.11024e6i | −0.101291 | + | 0.484449i | ||||
\(351\) | 204809. | 0.0887322 | ||||||||
\(352\) | 691767. | + | 2.12904e6i | 0.297580 | + | 0.915856i | ||||
\(353\) | 433216. | − | 314750.i | 0.185041 | − | 0.134440i | −0.491409 | − | 0.870929i | \(-0.663518\pi\) |
0.676449 | + | 0.736489i | \(0.263518\pi\) | |||||||
\(354\) | −93539.7 | + | 67960.6i | −0.0396724 | + | 0.0288237i | ||||
\(355\) | −524642. | − | 1.35998e6i | −0.220949 | − | 0.572744i | ||||
\(356\) | −449162. | − | 326336.i | −0.187836 | − | 0.136471i | ||||
\(357\) | −4.20893e6 | −1.74784 | ||||||||
\(358\) | −942822. | − | 685001.i | −0.388797 | − | 0.282477i | ||||
\(359\) | 570483. | − | 1.75577e6i | 0.233618 | − | 0.719003i | −0.763683 | − | 0.645591i | \(-0.776611\pi\) |
0.997302 | − | 0.0734123i | \(-0.0233889\pi\) | |||||||
\(360\) | 380655. | + | 986734.i | 0.154801 | + | 0.401277i | ||||
\(361\) | −676937. | − | 2.08340e6i | −0.273388 | − | 0.841403i | ||||
\(362\) | −165487. | + | 509318.i | −0.0663733 | + | 0.204276i | ||||
\(363\) | 934127. | − | 2.87495e6i | 0.372083 | − | 1.14515i | ||||
\(364\) | 695184. | + | 2.13956e6i | 0.275008 | + | 0.846389i | ||||
\(365\) | 1.07786e6 | − | 58284.9i | 0.423477 | − | 0.0228994i | ||||
\(366\) | −96637.1 | + | 297419.i | −0.0377087 | + | 0.116055i | ||||
\(367\) | −1.17442e6 | − | 853269.i | −0.455155 | − | 0.330690i | 0.336473 | − | 0.941693i | \(-0.390766\pi\) |
−0.791628 | + | 0.611004i | \(0.790766\pi\) | |||||||
\(368\) | 676274. | 0.260317 | ||||||||
\(369\) | 2.02398e6 | + | 1.47051e6i | 0.773820 | + | 0.562213i | ||||
\(370\) | 278752. | − | 1.04728e6i | 0.105855 | − | 0.397701i | ||||
\(371\) | −4.07065e6 | + | 2.95750e6i | −1.53542 | + | 1.11555i | ||||
\(372\) | −996552. | + | 724037.i | −0.373373 | + | 0.271271i | ||||
\(373\) | 1.00416e6 | + | 3.09050e6i | 0.373708 | + | 1.15015i | 0.944346 | + | 0.328953i | \(0.106696\pi\) |
−0.570639 | + | 0.821201i | \(0.693304\pi\) | |||||||
\(374\) | −628555. | −0.232362 | ||||||||
\(375\) | 563937. | − | 3.67921e6i | 0.207087 | − | 1.35106i | ||||
\(376\) | −684522. | −0.249699 | ||||||||
\(377\) | 92999.4 | + | 286223.i | 0.0336997 | + | 0.103717i | ||||
\(378\) | −200290. | + | 145519.i | −0.0720992 | + | 0.0523831i | ||||
\(379\) | −461207. | + | 335086.i | −0.164929 | + | 0.119828i | −0.667188 | − | 0.744889i | \(-0.732502\pi\) |
0.502259 | + | 0.864717i | \(0.332502\pi\) | |||||||
\(380\) | 229723. | − | 863075.i | 0.0816106 | − | 0.306612i | ||||
\(381\) | 2.31879e6 | + | 1.68470e6i | 0.818369 | + | 0.594580i | ||||
\(382\) | 1.02242e6 | 0.358486 | ||||||||
\(383\) | 1.33619e6 | + | 970802.i | 0.465450 | + | 0.338169i | 0.795665 | − | 0.605737i | \(-0.207121\pi\) |
−0.330216 | + | 0.943906i | \(0.607121\pi\) | |||||||
\(384\) | 1.05317e6 | − | 3.24132e6i | 0.364476 | − | 1.12174i | ||||
\(385\) | −7.69794e6 | + | 416264.i | −2.64681 | + | 0.143125i | ||||
\(386\) | 369849. | + | 1.13828e6i | 0.126345 | + | 0.388849i | ||||
\(387\) | −464561. | + | 1.42977e6i | −0.157676 | + | 0.485277i | ||||
\(388\) | 75680.2 | − | 232920.i | 0.0255213 | − | 0.0785465i | ||||
\(389\) | 1.34834e6 | + | 4.14976e6i | 0.451778 | + | 1.39043i | 0.874876 | + | 0.484347i | \(0.160943\pi\) |
−0.423098 | + | 0.906084i | \(0.639057\pi\) | |||||||
\(390\) | 186466. | + | 483359.i | 0.0620782 | + | 0.160919i | ||||
\(391\) | −199230. | + | 613167.i | −0.0659042 | + | 0.202832i | ||||
\(392\) | −3.33519e6 | − | 2.42316e6i | −1.09624 | − | 0.796466i | ||||
\(393\) | −6.94825e6 | −2.26931 | ||||||||
\(394\) | 300370. | + | 218231.i | 0.0974800 | + | 0.0708234i | ||||
\(395\) | 1.17898e6 | + | 3.05616e6i | 0.380202 | + | 0.985562i | ||||
\(396\) | −2.80916e6 | + | 2.04097e6i | −0.900198 | + | 0.654032i | ||||
\(397\) | 1.68083e6 | − | 1.22119e6i | 0.535239 | − | 0.388874i | −0.287075 | − | 0.957908i | \(-0.592683\pi\) |
0.822314 | + | 0.569034i | \(0.192683\pi\) | |||||||
\(398\) | −216865. | − | 667442.i | −0.0686249 | − | 0.211206i | ||||
\(399\) | −2.85253e6 | −0.897013 | ||||||||
\(400\) | −1.91471e6 | + | 1.73557e6i | −0.598346 | + | 0.542366i | ||||
\(401\) | 4.37392e6 | 1.35835 | 0.679173 | − | 0.733978i | \(-0.262339\pi\) | ||||
0.679173 | + | 0.733978i | \(0.262339\pi\) | |||||||
\(402\) | 363407. | + | 1.11845e6i | 0.112158 | + | 0.345185i | ||||
\(403\) | −469666. | + | 341233.i | −0.144054 | + | 0.104662i | ||||
\(404\) | 1.62229e6 | − | 1.17866e6i | 0.494510 | − | 0.359283i | ||||
\(405\) | 2.85489e6 | − | 2.31971e6i | 0.864872 | − | 0.702743i | ||||
\(406\) | −294312. | − | 213830.i | −0.0886122 | − | 0.0643805i | ||||
\(407\) | 7.36586e6 | 2.20413 | ||||||||
\(408\) | 1.21859e6 | + | 885358.i | 0.362416 | + | 0.263311i | ||||
\(409\) | 702217. | − | 2.16120e6i | 0.207569 | − | 0.638832i | −0.792029 | − | 0.610484i | \(-0.790975\pi\) |
0.999598 | − | 0.0283487i | \(-0.00902488\pi\) | |||||||
\(410\) | 246975. | − | 927889.i | 0.0725593 | − | 0.272607i | ||||
\(411\) | −1.16836e6 | − | 3.59583e6i | −0.341170 | − | 1.05001i | ||||
\(412\) | 426139. | − | 1.31152e6i | 0.123682 | − | 0.380655i | ||||
\(413\) | −290050. | + | 892682.i | −0.0836754 | + | 0.257526i | ||||
\(414\) | −77236.1 | − | 237708.i | −0.0221472 | − | 0.0681622i | ||||
\(415\) | −3.63351e6 | + | 2.95237e6i | −1.03563 | + | 0.841494i | ||||
\(416\) | 377397. | − | 1.16151e6i | 0.106922 | − | 0.329071i | ||||
\(417\) | −621984. | − | 451898.i | −0.175162 | − | 0.127262i | ||||
\(418\) | −425993. | −0.119251 | ||||||||
\(419\) | −655562. | − | 476294.i | −0.182423 | − | 0.132538i | 0.492826 | − | 0.870128i | \(-0.335964\pi\) |
−0.675249 | + | 0.737590i | \(0.735964\pi\) | |||||||
\(420\) | 7.49234e6 | + | 4.84789e6i | 2.07250 | + | 1.34100i | ||||
\(421\) | 988606. | − | 718264.i | 0.271843 | − | 0.197505i | −0.443509 | − | 0.896270i | \(-0.646267\pi\) |
0.715352 | + | 0.698765i | \(0.246267\pi\) | |||||||
\(422\) | −1.17152e6 | + | 851162.i | −0.320236 | + | 0.232665i | ||||
\(423\) | −497716. | − | 1.53181e6i | −0.135248 | − | 0.416250i | ||||
\(424\) | 1.80067e6 | 0.486429 | ||||||||
\(425\) | −1.00954e6 | − | 2.24734e6i | −0.271115 | − | 0.603526i | ||||
\(426\) | 804818. | 0.214869 | ||||||||
\(427\) | 784505. | + | 2.41446e6i | 0.208222 | + | 0.640841i | ||||
\(428\) | −1.80515e6 | + | 1.31151e6i | −0.476324 | + | 0.346070i | ||||
\(429\) | −2.84874e6 | + | 2.06973e6i | −0.747325 | + | 0.542964i | ||||
\(430\) | 576153. | − | 31155.3i | 0.150268 | − | 0.00812569i | ||||
\(431\) | −1.66810e6 | − | 1.21195e6i | −0.432543 | − | 0.314261i | 0.350122 | − | 0.936704i | \(-0.386140\pi\) |
−0.782665 | + | 0.622443i | \(0.786140\pi\) | |||||||
\(432\) | −564062. | −0.145418 | ||||||||
\(433\) | −465696. | − | 338348.i | −0.119367 | − | 0.0867249i | 0.526500 | − | 0.850175i | \(-0.323504\pi\) |
−0.645867 | + | 0.763450i | \(0.723504\pi\) | |||||||
\(434\) | 216854. | − | 667408.i | 0.0552641 | − | 0.170085i | ||||
\(435\) | 1.00230e6 | + | 648535.i | 0.253965 | + | 0.164328i | ||||
\(436\) | −1.11605e6 | − | 3.43486e6i | −0.281170 | − | 0.865352i | ||||
\(437\) | −135025. | + | 415564.i | −0.0338229 | + | 0.104096i | ||||
\(438\) | −184170. | + | 566816.i | −0.0458705 | + | 0.141175i | ||||
\(439\) | 1.01595e6 | + | 3.12676e6i | 0.251599 | + | 0.774342i | 0.994481 | + | 0.104920i | \(0.0334585\pi\) |
−0.742882 | + | 0.669423i | \(0.766541\pi\) | |||||||
\(440\) | 2.31631e6 | + | 1.49876e6i | 0.570381 | + | 0.369063i | ||||
\(441\) | 2.99749e6 | − | 9.22532e6i | 0.733941 | − | 2.25884i | ||||
\(442\) | 277421. | + | 201558.i | 0.0675436 | + | 0.0490733i | ||||
\(443\) | −7.46501e6 | −1.80726 | −0.903631 | − | 0.428312i | \(-0.859108\pi\) | ||||
−0.903631 | + | 0.428312i | \(0.859108\pi\) | |||||||
\(444\) | −6.89812e6 | − | 5.01178e6i | −1.66063 | − | 1.20652i | ||||
\(445\) | −1.03644e6 | + | 56044.9i | −0.248109 | + | 0.0134164i | ||||
\(446\) | −413251. | + | 300244.i | −0.0983732 | + | 0.0714723i | ||||
\(447\) | 6.66516e6 | − | 4.84253e6i | 1.57776 | − | 1.14631i | ||||
\(448\) | −1.59276e6 | − | 4.90201e6i | −0.374934 | − | 1.15393i | ||||
\(449\) | −1.51027e6 | −0.353540 | −0.176770 | − | 0.984252i | \(-0.556565\pi\) | ||||
−0.176770 | + | 0.984252i | \(0.556565\pi\) | |||||||
\(450\) | 828725. | + | 474798.i | 0.192921 | + | 0.110529i | ||||
\(451\) | 6.52618e6 | 1.51084 | ||||||||
\(452\) | 1.14949e6 | + | 3.53778e6i | 0.264643 | + | 0.814488i | ||||
\(453\) | 3.39296e6 | − | 2.46513e6i | 0.776842 | − | 0.564409i | ||||
\(454\) | −1.40295e6 | + | 1.01931e6i | −0.319450 | + | 0.232094i | ||||
\(455\) | 3.53107e6 | + | 2.28477e6i | 0.799610 | + | 0.517386i | ||||
\(456\) | 825880. | + | 600037.i | 0.185996 | + | 0.135134i | ||||
\(457\) | −5.49039e6 | −1.22974 | −0.614869 | − | 0.788629i | \(-0.710791\pi\) | ||||
−0.614869 | + | 0.788629i | \(0.710791\pi\) | |||||||
\(458\) | 1.33797e6 | + | 972090.i | 0.298045 | + | 0.216542i | ||||
\(459\) | 166172. | − | 511426.i | 0.0368152 | − | 0.113306i | ||||
\(460\) | 1.06090e6 | − | 862026.i | 0.233766 | − | 0.189944i | ||||
\(461\) | 2.80470e6 | + | 8.63199e6i | 0.614659 | + | 1.89173i | 0.406579 | + | 0.913616i | \(0.366722\pi\) |
0.208080 | + | 0.978112i | \(0.433278\pi\) | |||||||
\(462\) | 1.31532e6 | − | 4.04813e6i | 0.286699 | − | 0.882368i | ||||
\(463\) | 871457. | − | 2.68207e6i | 0.188927 | − | 0.581456i | −0.811067 | − | 0.584953i | \(-0.801113\pi\) |
0.999994 | + | 0.00349648i | \(0.00111297\pi\) | |||||||
\(464\) | −256128. | − | 788281.i | −0.0552284 | − | 0.169976i | ||||
\(465\) | −592333. | + | 2.22541e6i | −0.127038 | + | 0.477284i | ||||
\(466\) | 43458.8 | − | 133752.i | 0.00927070 | − | 0.0285323i | ||||
\(467\) | −4.61002e6 | − | 3.34937e6i | −0.978161 | − | 0.710676i | −0.0208642 | − | 0.999782i | \(-0.506642\pi\) |
−0.957297 | + | 0.289107i | \(0.906642\pi\) | |||||||
\(468\) | 1.89434e6 | 0.399800 | ||||||||
\(469\) | 7.72362e6 | + | 5.61153e6i | 1.62139 | + | 1.17801i | ||||
\(470\) | −479764. | + | 389827.i | −0.100180 | + | 0.0814005i | ||||
\(471\) | −4.13169e6 | + | 3.00185e6i | −0.858174 | + | 0.623500i | ||||
\(472\) | 271754. | − | 197441.i | 0.0561463 | − | 0.0407927i | ||||
\(473\) | 1.21186e6 | + | 3.72973e6i | 0.249058 | + | 0.766522i | ||||
\(474\) | −1.80860e6 | −0.369740 | ||||||||
\(475\) | −684202. | − | 1.52310e6i | −0.139139 | − | 0.309737i | ||||
\(476\) | 5.90670e6 | 1.19489 | ||||||||
\(477\) | 1.30927e6 | + | 4.02951e6i | 0.263471 | + | 0.810879i | ||||
\(478\) | 447416. | − | 325066.i | 0.0895656 | − | 0.0650732i | ||||
\(479\) | −372764. | + | 270829.i | −0.0742327 | + | 0.0539332i | −0.624283 | − | 0.781199i | \(-0.714609\pi\) |
0.550050 | + | 0.835132i | \(0.314609\pi\) | |||||||
\(480\) | −1.74366e6 | − | 4.51993e6i | −0.345429 | − | 0.895423i | ||||
\(481\) | −3.25102e6 | − | 2.36201e6i | −0.640704 | − | 0.465499i | ||||
\(482\) | −899129. | −0.176281 | ||||||||
\(483\) | −3.53212e6 | − | 2.56623e6i | −0.688917 | − | 0.500528i | ||||
\(484\) | −1.31093e6 | + | 4.03462e6i | −0.254370 | + | 0.782869i | ||||
\(485\) | −164792. | − | 427173.i | −0.0318113 | − | 0.0824612i | ||||
\(486\) | 553422. | + | 1.70326e6i | 0.106283 | + | 0.327107i | ||||
\(487\) | 2.41332e6 | − | 7.42743e6i | 0.461097 | − | 1.41911i | −0.402729 | − | 0.915319i | \(-0.631938\pi\) |
0.863826 | − | 0.503791i | \(-0.168062\pi\) | |||||||
\(488\) | 280753. | − | 864068.i | 0.0533672 | − | 0.164247i | ||||
\(489\) | 2.01271e6 | + | 6.19449e6i | 0.380636 | + | 1.17148i | ||||
\(490\) | −3.71751e6 | + | 201023.i | −0.699459 | + | 0.0378230i | ||||
\(491\) | −3.00510e6 | + | 9.24875e6i | −0.562542 | + | 1.73133i | 0.112600 | + | 0.993640i | \(0.464082\pi\) |
−0.675143 | + | 0.737687i | \(0.735918\pi\) | |||||||
\(492\) | −6.11175e6 | − | 4.44045e6i | −1.13829 | − | 0.827017i | ||||
\(493\) | 790178. | 0.146422 | ||||||||
\(494\) | 188018. | + | 136603.i | 0.0346642 | + | 0.0251850i | ||||
\(495\) | −1.66971e6 | + | 6.27315e6i | −0.306287 | + | 1.15073i | ||||
\(496\) | 1.29350e6 | − | 939784.i | 0.236082 | − | 0.171524i | ||||
\(497\) | 5.28575e6 | − | 3.84033e6i | 0.959878 | − | 0.697392i | ||||
\(498\) | −798788. | − | 2.45842e6i | −0.144331 | − | 0.444204i | ||||
\(499\) | −6.49298e6 | −1.16733 | −0.583664 | − | 0.811995i | \(-0.698382\pi\) | ||||
−0.583664 | + | 0.811995i | \(0.698382\pi\) | |||||||
\(500\) | −791414. | + | 5.16330e6i | −0.141572 | + | 0.923639i | ||||
\(501\) | −6.08429e6 | −1.08297 | ||||||||
\(502\) | −689412. | − | 2.12179e6i | −0.122101 | − | 0.375789i | ||||
\(503\) | −4.96721e6 | + | 3.60889e6i | −0.875372 | + | 0.635995i | −0.932023 | − | 0.362399i | \(-0.881958\pi\) |
0.0566509 | + | 0.998394i | \(0.481958\pi\) | |||||||
\(504\) | −3.83509e6 | + | 2.78635e6i | −0.672510 | + | 0.488607i | ||||
\(505\) | 964261. | − | 3.62275e6i | 0.168254 | − | 0.632135i | ||||
\(506\) | −527481. | − | 383237.i | −0.0915863 | − | 0.0665413i | ||||
\(507\) | −5.99010e6 | −1.03494 | ||||||||
\(508\) | −3.25413e6 | − | 2.36426e6i | −0.559468 | − | 0.406477i | ||||
\(509\) | −2.26138e6 | + | 6.95980e6i | −0.386882 | + | 1.19070i | 0.548224 | + | 0.836332i | \(0.315304\pi\) |
−0.935106 | + | 0.354369i | \(0.884696\pi\) | |||||||
\(510\) | 1.35828e6 | − | 73448.5i | 0.231240 | − | 0.0125042i | ||||
\(511\) | 1.49510e6 | + | 4.60144e6i | 0.253290 | + | 0.779546i | ||||
\(512\) | −1.77265e6 | + | 5.45565e6i | −0.298846 | + | 0.919754i | ||||
\(513\) | 112621. | − | 346611.i | 0.0188940 | − | 0.0581498i | ||||
\(514\) | 235333. | + | 724281.i | 0.0392894 | + | 0.120920i | ||||
\(515\) | −927906. | − | 2.40532e6i | −0.154165 | − | 0.399627i | ||||
\(516\) | 1.40282e6 | − | 4.31744e6i | 0.231942 | − | 0.713843i | ||||
\(517\) | −3.39913e6 | − | 2.46961e6i | −0.559295 | − | 0.406352i | ||||
\(518\) | 4.85753e6 | 0.795410 | ||||||||
\(519\) | −3.21306e6 | − | 2.33442e6i | −0.523600 | − | 0.380418i | ||||
\(520\) | −541727. | − | 1.40427e6i | −0.0878562 | − | 0.227741i | ||||
\(521\) | 8.89183e6 | − | 6.46029e6i | 1.43515 | − | 1.04270i | 0.446119 | − | 0.894973i | \(-0.352806\pi\) |
0.989029 | − | 0.147723i | \(-0.0471944\pi\) | |||||||
\(522\) | −247827. | + | 180057.i | −0.0398082 | + | 0.0289223i | ||||
\(523\) | 2.94704e6 | + | 9.07005e6i | 0.471120 | + | 1.44996i | 0.851119 | + | 0.524972i | \(0.175924\pi\) |
−0.379999 | + | 0.924987i | \(0.624076\pi\) | |||||||
\(524\) | 9.75097e6 | 1.55139 | ||||||||
\(525\) | 1.65863e7 | − | 1.79905e6i | 2.62634 | − | 0.284869i | ||||
\(526\) | −733601. | −0.115610 | ||||||||
\(527\) | 471022. | + | 1.44966e6i | 0.0738780 | + | 0.227373i | ||||
\(528\) | 7.84568e6 | − | 5.70022e6i | 1.22474 | − | 0.889829i | ||||
\(529\) | 4.66606e6 | − | 3.39009e6i | 0.724956 | − | 0.526711i | ||||
\(530\) | 1.26204e6 | − | 1.02546e6i | 0.195157 | − | 0.158573i | ||||
\(531\) | 639423. | + | 464568.i | 0.0984128 | + | 0.0715011i | ||||
\(532\) | 4.00317e6 | 0.613232 | ||||||||
\(533\) | −2.88042e6 | − | 2.09275e6i | −0.439175 | − | 0.319079i | ||||
\(534\) | 177092. | − | 545032.i | 0.0268748 | − | 0.0827121i | ||||
\(535\) | −1.07295e6 | + | 4.03108e6i | −0.162067 | + | 0.608887i | ||||
\(536\) | −1.05578e6 | − | 3.24936e6i | −0.158731 | − | 0.488524i | ||||
\(537\) | −5.29705e6 | + | 1.63026e7i | −0.792680 | + | 2.43962i | ||||
\(538\) | −806955. | + | 2.48355e6i | −0.120197 | + | 0.369928i | ||||
\(539\) | −7.81931e6 | − | 2.40654e7i | −1.15930 | − | 3.56796i | ||||
\(540\) | −884871. | + | 718993.i | −0.130586 | + | 0.106106i | ||||
\(541\) | 2.01133e6 | − | 6.19023e6i | 0.295454 | − | 0.909313i | −0.687615 | − | 0.726076i | \(-0.741342\pi\) |
0.983069 | − | 0.183238i | \(-0.0586578\pi\) | |||||||
\(542\) | 446774. | + | 324600.i | 0.0653265 | + | 0.0474625i | ||||
\(543\) | 7.87702e6 | 1.14647 | ||||||||
\(544\) | −2.59419e6 | − | 1.88479e6i | −0.375841 | − | 0.273065i | ||||
\(545\) | −5.66881e6 | − | 3.66799e6i | −0.817525 | − | 0.528977i | ||||
\(546\) | −1.87865e6 | + | 1.36492e6i | −0.269689 | + | 0.195941i | ||||
\(547\) | 8.15129e6 | − | 5.92226e6i | 1.16482 | − | 0.846289i | 0.174438 | − | 0.984668i | \(-0.444189\pi\) |
0.990379 | + | 0.138379i | \(0.0441891\pi\) | |||||||
\(548\) | 1.63964e6 | + | 5.04629e6i | 0.233237 | + | 0.717829i | ||||
\(549\) | 2.13773e6 | 0.302707 | ||||||||
\(550\) | 2.47697e6 | − | 268668.i | 0.349151 | − | 0.0378712i | ||||
\(551\) | 535530. | 0.0751459 | ||||||||
\(552\) | 482823. | + | 1.48598e6i | 0.0674435 | + | 0.207570i | ||||
\(553\) | −1.18782e7 | + | 8.63004e6i | −1.65173 | + | 1.20005i | ||||
\(554\) | −1.32826e6 | + | 965034.i | −0.183868 | + | 0.133588i | ||||
\(555\) | −1.59173e7 | + | 860722.i | −2.19350 | + | 0.118613i | ||||
\(556\) | 872875. | + | 634181.i | 0.119747 | + | 0.0870014i | ||||
\(557\) | −2.05004e6 | −0.279978 | −0.139989 | − | 0.990153i | \(-0.544707\pi\) | ||||
−0.139989 | + | 0.990153i | \(0.544707\pi\) | |||||||
\(558\) | −478060. | − | 347331.i | −0.0649976 | − | 0.0472235i | ||||
\(559\) | 661138. | − | 2.03477e6i | 0.0894876 | − | 0.275415i | ||||
\(560\) | −9.72488e6 | − | 6.29246e6i | −1.31043 | − | 0.847911i | ||||
\(561\) | 2.85697e6 | + | 8.79284e6i | 0.383264 | + | 1.17957i | ||||
\(562\) | −334799. | + | 1.03041e6i | −0.0447140 | + | 0.137616i | ||||
\(563\) | 3.24454e6 | − | 9.98567e6i | 0.431402 | − | 1.32772i | −0.465327 | − | 0.885139i | \(-0.654063\pi\) |
0.896729 | − | 0.442580i | \(-0.145937\pi\) | |||||||
\(564\) | 1.50294e6 | + | 4.62557e6i | 0.198950 | + | 0.612305i | ||||
\(565\) | 5.83867e6 | + | 3.77790e6i | 0.769473 | + | 0.497885i | ||||
\(566\) | 634694. | − | 1.95339e6i | 0.0832766 | − | 0.256299i | ||||
\(567\) | 1.33389e7 | + | 9.69131e6i | 1.74246 | + | 1.26597i | ||||
\(568\) | −2.33818e6 | −0.304093 | ||||||||
\(569\) | 6.46233e6 | + | 4.69516e6i | 0.836774 | + | 0.607952i | 0.921468 | − | 0.388455i | \(-0.126991\pi\) |
−0.0846935 | + | 0.996407i | \(0.526991\pi\) | |||||||
\(570\) | 920552. | − | 49778.5i | 0.118675 | − | 0.00641734i | ||||
\(571\) | −5.04393e6 | + | 3.66463e6i | −0.647409 | + | 0.470370i | −0.862388 | − | 0.506248i | \(-0.831032\pi\) |
0.214978 | + | 0.976619i | \(0.431032\pi\) | |||||||
\(572\) | 3.99784e6 | − | 2.90460e6i | 0.510900 | − | 0.371190i | ||||
\(573\) | −4.64721e6 | − | 1.43026e7i | −0.591297 | − | 1.81983i | ||||
\(574\) | 4.30379e6 | 0.545219 | ||||||||
\(575\) | 523021. | − | 2.50148e6i | 0.0659705 | − | 0.315521i | ||||
\(576\) | −4.34018e6 | −0.545069 | ||||||||
\(577\) | −1.15565e6 | − | 3.55673e6i | −0.144507 | − | 0.444745i | 0.852441 | − | 0.522824i | \(-0.175122\pi\) |
−0.996947 | + | 0.0780785i | \(0.975122\pi\) | |||||||
\(578\) | −935572. | + | 679733.i | −0.116482 | + | 0.0846289i | ||||
\(579\) | 1.42423e7 | − | 1.03476e7i | 1.76556 | − | 1.28276i | ||||
\(580\) | −1.40660e6 | − | 910136.i | −0.173620 | − | 0.112340i | ||||
\(581\) | −1.69769e7 | − | 1.23344e7i | −2.08650 | − | 1.51593i | ||||
\(582\) | 252796. | 0.0309359 | ||||||||
\(583\) | 8.94158e6 | + | 6.49644e6i | 1.08954 | + | 0.791596i | ||||
\(584\) | 535055. | − | 1.64673e6i | 0.0649182 | − | 0.199798i | ||||
\(585\) | 2.74856e6 | − | 2.23331e6i | 0.332059 | − | 0.269811i | ||||
\(586\) | 140863. | + | 433530.i | 0.0169454 | + | 0.0521525i | ||||
\(587\) | 611411. | − | 1.88173e6i | 0.0732383 | − | 0.225404i | −0.907736 | − | 0.419542i | \(-0.862191\pi\) |
0.980974 | + | 0.194137i | \(0.0621908\pi\) | |||||||
\(588\) | −9.05144e6 | + | 2.78575e7i | −1.07963 | + | 3.32276i | ||||
\(589\) | 319228. | + | 982482.i | 0.0379151 | + | 0.116691i | ||||
\(590\) | 78025.2 | − | 293142.i | 0.00922794 | − | 0.0346695i | ||||
\(591\) | 1.68756e6 | − | 5.19379e6i | 0.198743 | − | 0.611667i | ||||
\(592\) | 8.95360e6 | + | 6.50517e6i | 1.05001 | + | 0.762877i | ||||
\(593\) | 2.23802e6 | 0.261353 | 0.130677 | − | 0.991425i | \(-0.458285\pi\) | ||||
0.130677 | + | 0.991425i | \(0.458285\pi\) | |||||||
\(594\) | 439958. | + | 319648.i | 0.0511617 | + | 0.0371711i | ||||
\(595\) | 8.57022e6 | − | 6.96365e6i | 0.992430 | − | 0.806389i | ||||
\(596\) | −9.35370e6 | + | 6.79586e6i | −1.07862 | + | 0.783662i | ||||
\(597\) | −8.35110e6 | + | 6.06743e6i | −0.958977 | + | 0.696737i | ||||
\(598\) | 109918. | + | 338294.i | 0.0125695 | + | 0.0386849i | ||||
\(599\) | 1.32372e7 | 1.50740 | 0.753701 | − | 0.657218i | \(-0.228267\pi\) | ||||
0.753701 | + | 0.657218i | \(0.228267\pi\) | |||||||
\(600\) | −5.18057e6 | − | 2.96809e6i | −0.587489 | − | 0.336588i | ||||
\(601\) | −1.48594e6 | −0.167809 | −0.0839046 | − | 0.996474i | \(-0.526739\pi\) | ||||
−0.0839046 | + | 0.996474i | \(0.526739\pi\) | |||||||
\(602\) | 799182. | + | 2.45963e6i | 0.0898782 | + | 0.276617i | ||||
\(603\) | 6.50370e6 | − | 4.72522e6i | 0.728396 | − | 0.529210i | ||||
\(604\) | −4.76158e6 | + | 3.45949e6i | −0.531079 | + | 0.385851i | ||||
\(605\) | 2.85451e6 | + | 7.39947e6i | 0.317061 | + | 0.821887i | ||||
\(606\) | 1.67455e6 | + | 1.21663e6i | 0.185232 | + | 0.134579i | ||||
\(607\) | −1.61851e7 | −1.78296 | −0.891482 | − | 0.453057i | \(-0.850334\pi\) | ||||
−0.891482 | + | 0.453057i | \(0.850334\pi\) | |||||||
\(608\) | −1.75817e6 | − | 1.27738e6i | −0.192886 | − | 0.140140i | ||||
\(609\) | −1.65353e6 | + | 5.08904e6i | −0.180663 | + | 0.556023i | ||||
\(610\) | −295304. | − | 765489.i | −0.0321326 | − | 0.0832941i | ||||
\(611\) | 708322. | + | 2.17999e6i | 0.0767588 | + | 0.236239i | ||||
\(612\) | 1.53698e6 | − | 4.73033e6i | 0.165878 | − | 0.510520i | ||||
\(613\) | 3.05248e6 | − | 9.39456e6i | 0.328096 | − | 1.00978i | −0.641927 | − | 0.766766i | \(-0.721865\pi\) |
0.970024 | − | 0.243011i | \(-0.0781351\pi\) | |||||||
\(614\) | −1.09357e6 | − | 3.36566e6i | −0.117065 | − | 0.360288i | ||||
\(615\) | −1.41028e7 | + | 762603.i | −1.50355 | + | 0.0813038i | ||||
\(616\) | −3.82130e6 | + | 1.17607e7i | −0.405751 | + | 1.24877i | ||||
\(617\) | −8.47254e6 | − | 6.15566e6i | −0.895985 | − | 0.650971i | 0.0414468 | − | 0.999141i | \(-0.486803\pi\) |
−0.937432 | + | 0.348170i | \(0.886803\pi\) | |||||||
\(618\) | 1.42344e6 | 0.149923 | ||||||||
\(619\) | −1.26440e7 | − | 9.18638e6i | −1.32635 | − | 0.963647i | −0.999830 | − | 0.0184552i | \(-0.994125\pi\) |
−0.326516 | − | 0.945192i | \(-0.605875\pi\) | |||||||
\(620\) | 831263. | − | 3.12307e6i | 0.0868479 | − | 0.326289i | ||||
\(621\) | 451273. | − | 327869.i | 0.0469581 | − | 0.0341171i | ||||
\(622\) | −653418. | + | 474736.i | −0.0677197 | + | 0.0492013i | ||||
\(623\) | −1.43764e6 | − | 4.42460e6i | −0.148399 | − | 0.456724i | ||||
\(624\) | −5.29068e6 | −0.543939 | ||||||||
\(625\) | 4.93893e6 | + | 8.42463e6i | 0.505747 | + | 0.862682i | ||||
\(626\) | 3.06766e6 | 0.312876 | ||||||||
\(627\) | 1.93626e6 | + | 5.95920e6i | 0.196696 | + | 0.605368i | ||||
\(628\) | 5.79830e6 | − | 4.21271e6i | 0.586680 | − | 0.426248i | ||||
\(629\) | −8.53587e6 | + | 6.20167e6i | −0.860243 | + | 0.625003i | ||||
\(630\) | −1.10112e6 | + | 4.13692e6i | −0.110531 | + | 0.415266i | ||||
\(631\) | 3.47568e6 | + | 2.52523e6i | 0.347509 | + | 0.252480i | 0.747823 | − | 0.663898i | \(-0.231099\pi\) |
−0.400314 | + | 0.916378i | \(0.631099\pi\) | |||||||
\(632\) | 5.25439e6 | 0.523275 | ||||||||
\(633\) | 1.72318e7 | + | 1.25196e7i | 1.70931 | + | 1.24189i | ||||
\(634\) | 266620. | − | 820571.i | 0.0263432 | − | 0.0810761i | ||||
\(635\) | −7.50885e6 | + | 406038.i | −0.738991 | + | 0.0399607i | ||||
\(636\) | −3.95356e6 | − | 1.21678e7i | −0.387566 | − | 1.19280i | ||||
\(637\) | −4.26587e6 | + | 1.31290e7i | −0.416542 | + | 1.28198i | ||||
\(638\) | −246936. | + | 759990.i | −0.0240177 | + | 0.0739190i | ||||
\(639\) | −1.70009e6 | − | 5.23234e6i | −0.164710 | − | 0.506925i | ||||
\(640\) | 3.21828e6 | + | 8.34242e6i | 0.310580 | + | 0.805086i | ||||
\(641\) | −2.26972e6 | + | 6.98548e6i | −0.218186 | + | 0.671508i | 0.780726 | + | 0.624874i | \(0.214850\pi\) |
−0.998912 | + | 0.0466343i | \(0.985150\pi\) | |||||||
\(642\) | −1.86330e6 | − | 1.35376e6i | −0.178420 | − | 0.129630i | ||||
\(643\) | −373263. | −0.0356031 | −0.0178016 | − | 0.999842i | \(-0.505667\pi\) | ||||
−0.0178016 | + | 0.999842i | \(0.505667\pi\) | |||||||
\(644\) | 4.95687e6 | + | 3.60138e6i | 0.470970 | + | 0.342180i | ||||
\(645\) | −3.05461e6 | − | 7.91817e6i | −0.289106 | − | 0.749420i | ||||
\(646\) | 493658. | − | 358664.i | 0.0465420 | − | 0.0338148i | ||||
\(647\) | −1.26876e7 | + | 9.21806e6i | −1.19156 | + | 0.865722i | −0.993429 | − | 0.114452i | \(-0.963489\pi\) |
−0.198136 | + | 0.980175i | \(0.563489\pi\) | |||||||
\(648\) | −1.82337e6 | − | 5.61175e6i | −0.170583 | − | 0.525002i | ||||
\(649\) | 2.06177e6 | 0.192145 | ||||||||
\(650\) | −1.17940e6 | − | 675707.i | −0.109490 | − | 0.0627300i | ||||
\(651\) | −1.03220e7 | −0.954578 | ||||||||
\(652\) | −2.82459e6 | − | 8.69318e6i | −0.260217 | − | 0.800866i | ||||
\(653\) | 9.23600e6 | − | 6.71034e6i | 0.847619 | − | 0.615831i | −0.0768694 | − | 0.997041i | \(-0.524492\pi\) |
0.924489 | + | 0.381210i | \(0.124492\pi\) | |||||||
\(654\) | 3.01599e6 | − | 2.19125e6i | 0.275731 | − | 0.200330i | ||||
\(655\) | 1.41480e7 | − | 1.14958e7i | 1.28852 | − | 1.04698i | ||||
\(656\) | 7.93292e6 | + | 5.76360e6i | 0.719736 | + | 0.522919i | ||||
\(657\) | 4.07406e6 | 0.368226 | ||||||||
\(658\) | −2.24161e6 | − | 1.62862e6i | −0.201834 | − | 0.146641i | ||||
\(659\) | −4.58476e6 | + | 1.41104e7i | −0.411247 | + | 1.26569i | 0.504318 | + | 0.863518i | \(0.331744\pi\) |
−0.915565 | + | 0.402170i | \(0.868256\pi\) | |||||||
\(660\) | 5.04199e6 | − | 1.89429e7i | 0.450549 | − | 1.69272i | ||||
\(661\) | −2.05945e6 | − | 6.33832e6i | −0.183336 | − | 0.564249i | 0.816580 | − | 0.577232i | \(-0.195867\pi\) |
−0.999916 | + | 0.0129831i | \(0.995867\pi\) | |||||||
\(662\) | −1.24136e6 | + | 3.82052e6i | −0.110091 | + | 0.338827i | ||||
\(663\) | 1.55863e6 | − | 4.79698e6i | 0.137708 | − | 0.423823i | ||||
\(664\) | 2.32066e6 | + | 7.14226e6i | 0.204264 | + | 0.628659i | ||||
\(665\) | 5.80833e6 | − | 4.71950e6i | 0.509327 | − | 0.413849i | ||||
\(666\) | 1.26397e6 | − | 3.89011e6i | 0.110421 | − | 0.339841i | ||||
\(667\) | 663114. | + | 481780.i | 0.0577130 | + | 0.0419309i | ||||
\(668\) | 8.53851e6 | 0.740357 | ||||||||
\(669\) | 6.07845e6 | + | 4.41625e6i | 0.525083 | + | 0.381495i | ||||
\(670\) | −2.59044e6 | − | 1.67614e6i | −0.222939 | − | 0.144252i | ||||
\(671\) | 4.51151e6 | − | 3.27780e6i | 0.386826 | − | 0.281046i | ||||
\(672\) | 1.75674e7 | − | 1.27634e7i | 1.50066 | − | 1.09030i | ||||
\(673\) | 1.50224e6 | + | 4.62342e6i | 0.127850 | + | 0.393482i | 0.994410 | − | 0.105592i | \(-0.0336736\pi\) |
−0.866559 | + | 0.499074i | \(0.833674\pi\) | |||||||
\(674\) | −3.39203e6 | −0.287614 | ||||||||
\(675\) | −436238. | + | 2.08642e6i | −0.0368523 | + | 0.176255i | ||||
\(676\) | 8.40634e6 | 0.707523 | ||||||||
\(677\) | −2.39273e6 | − | 7.36406e6i | −0.200642 | − | 0.617512i | −0.999864 | − | 0.0164769i | \(-0.994755\pi\) |
0.799222 | − | 0.601036i | \(-0.205245\pi\) | |||||||
\(678\) | −3.10636e6 | + | 2.25690e6i | −0.259524 | + | 0.188555i | ||||
\(679\) | 1.66027e6 | − | 1.20626e6i | 0.138199 | − | 0.100407i | ||||
\(680\) | −3.94611e6 | + | 213385.i | −0.327263 | + | 0.0176966i | ||||
\(681\) | 2.06358e7 | + | 1.49928e7i | 1.70512 | + | 1.23884i | ||||
\(682\) | −1.54147e6 | −0.126904 | ||||||||
\(683\) | −8.67971e6 | − | 6.30618e6i | −0.711956 | − | 0.517267i | 0.171848 | − | 0.985124i | \(-0.445026\pi\) |
−0.883804 | + | 0.467857i | \(0.845026\pi\) | |||||||
\(684\) | 1.04166e6 | − | 3.20590e6i | 0.0851306 | − | 0.262005i | ||||
\(685\) | 8.32829e6 | + | 5.38879e6i | 0.678156 | + | 0.438799i | ||||
\(686\) | −3.27148e6 | − | 1.00686e7i | −0.265420 | − | 0.816878i | ||||
\(687\) | 7.51708e6 | − | 2.31352e7i | 0.607655 | − | 1.87017i | ||||
\(688\) | −1.82083e6 | + | 5.60394e6i | −0.146656 | + | 0.451360i | ||||
\(689\) | −1.86328e6 | − | 5.73458e6i | −0.149530 | − | 0.460207i | ||||
\(690\) | 1.18464e6 | + | 766520.i | 0.0947251 | + | 0.0612916i | ||||
\(691\) | −3.96343e6 | + | 1.21982e7i | −0.315773 | + | 0.971851i | 0.659661 | + | 0.751563i | \(0.270700\pi\) |
−0.975435 | + | 0.220288i | \(0.929300\pi\) | |||||||
\(692\) | 4.50911e6 | + | 3.27606e6i | 0.357953 | + | 0.260068i | ||||
\(693\) | −2.90965e7 | −2.30148 | ||||||||
\(694\) | −584183. | − | 424434.i | −0.0460416 | − | 0.0334512i | ||||
\(695\) | 2.01415e6 | − | 108914.i | 0.158172 | − | 0.00855308i | ||||
\(696\) | 1.54923e6 | − | 1.12558e6i | 0.121225 | − | 0.0880752i | ||||
\(697\) | −7.56281e6 | + | 5.49470e6i | −0.589659 | + | 0.428412i | ||||
\(698\) | 1.14855e6 | + | 3.53488e6i | 0.0892303 | + | 0.274623i | ||||
\(699\) | −2.06859e6 | −0.160133 | ||||||||
\(700\) | −2.32767e7 | + | 2.52474e6i | −1.79546 | + | 0.194747i | ||||
\(701\) | −3.97418e6 | −0.305459 | −0.152729 | − | 0.988268i | \(-0.548806\pi\) | ||||
−0.152729 | + | 0.988268i | \(0.548806\pi\) | |||||||
\(702\) | −91679.9 | − | 282162.i | −0.00702153 | − | 0.0216100i | ||||
\(703\) | −5.78504e6 | + | 4.20308e6i | −0.441487 | + | 0.320759i | ||||
\(704\) | −9.15959e6 | + | 6.65483e6i | −0.696537 | + | 0.506064i | ||||
\(705\) | 7.63394e6 | + | 4.93952e6i | 0.578463 | + | 0.374293i | ||||
\(706\) | −627548. | − | 455940.i | −0.0473844 | − | 0.0344268i | ||||
\(707\) | 1.68032e7 | 1.26428 | ||||||||
\(708\) | −1.93085e6 | − | 1.40284e6i | −0.144765 | − | 0.105178i | ||||
\(709\) | 5.94396e6 | − | 1.82936e7i | 0.444079 | − | 1.36673i | −0.439412 | − | 0.898286i | \(-0.644813\pi\) |
0.883491 | − | 0.468448i | \(-0.155187\pi\) | |||||||
\(710\) | −1.63877e6 | + | 1.33156e6i | −0.122003 | + | 0.0991326i | ||||
\(711\) | 3.82047e6 | + | 1.17582e7i | 0.283428 | + | 0.872301i | ||||
\(712\) | −514492. | + | 1.58344e6i | −0.0380346 | + | 0.117058i | ||||
\(713\) | −488593. | + | 1.50373e6i | −0.0359934 | + | 0.110776i | ||||
\(714\) | 1.88407e6 | + | 5.79857e6i | 0.138309 | + | 0.425672i | ||||
\(715\) | 2.37625e6 | − | 8.92760e6i | 0.173831 | − | 0.653085i | ||||
\(716\) | 7.43373e6 | − | 2.28787e7i | 0.541906 | − | 1.66782i | ||||
\(717\) | −6.58097e6 | − | 4.78136e6i | −0.478071 | − | 0.347339i | ||||
\(718\) | −2.67426e6 | −0.193594 | ||||||||
\(719\) | −8.87808e6 | − | 6.45030e6i | −0.640467 | − | 0.465327i | 0.219543 | − | 0.975603i | \(-0.429543\pi\) |
−0.860011 | + | 0.510276i | \(0.829543\pi\) | |||||||
\(720\) | −7.56976e6 | + | 6.15073e6i | −0.544190 | + | 0.442176i | ||||
\(721\) | 9.34863e6 | − | 6.79218e6i | 0.669746 | − | 0.486599i | ||||
\(722\) | −2.56724e6 | + | 1.86521e6i | −0.183283 | + | 0.133163i | ||||
\(723\) | 4.08680e6 | + | 1.25779e7i | 0.290762 | + | 0.894874i | ||||
\(724\) | −1.10544e7 | −0.783769 | ||||||||
\(725\) | −3.11388e6 | + | 337751.i | −0.220017 | + | 0.0238645i | ||||
\(726\) | −4.37891e6 | −0.308336 | ||||||||
\(727\) | 6.32139e6 | + | 1.94552e7i | 0.443585 | + | 1.36521i | 0.884028 | + | 0.467433i | \(0.154821\pi\) |
−0.440443 | + | 0.897780i | \(0.645179\pi\) | |||||||
\(728\) | 5.45789e6 | − | 3.96539e6i | 0.381677 | − | 0.277305i | ||||
\(729\) | 8.37499e6 | − | 6.08479e6i | 0.583668 | − | 0.424059i | ||||
\(730\) | −562787. | − | 1.45886e6i | −0.0390874 | − | 0.101323i | ||||
\(731\) | −4.54459e6 | − | 3.30184e6i | −0.314559 | − | 0.228540i | ||||
\(732\) | −6.45526e6 | −0.445283 | ||||||||
\(733\) | −1.71771e7 | − | 1.24799e7i | −1.18084 | − | 0.857929i | −0.188572 | − | 0.982059i | \(-0.560386\pi\) |
−0.992266 | + | 0.124131i | \(0.960386\pi\) | |||||||
\(734\) | −649819. | + | 1.99994e6i | −0.0445197 | + | 0.137017i | ||||
\(735\) | 1.97093e7 | + | 5.10904e7i | 1.34571 | + | 3.48836i | ||||
\(736\) | −1.02785e6 | − | 3.16341e6i | −0.0699419 | − | 0.215259i | ||||
\(737\) | 6.48032e6 | − | 1.99444e7i | 0.439468 | − | 1.35254i | ||||
\(738\) | 1.11988e6 | − | 3.44665e6i | 0.0756889 | − | 0.232947i | ||||
\(739\) | 4.70465e6 | + | 1.44794e7i | 0.316896 | + | 0.975305i | 0.974967 | + | 0.222350i | \(0.0713726\pi\) |
−0.658071 | + | 0.752956i | \(0.728627\pi\) | |||||||
\(740\) | 2.23379e7 | − | 1.20791e6i | 1.49956 | − | 0.0810880i | ||||
\(741\) | 1.05634e6 | − | 3.25107e6i | 0.0706736 | − | 0.217511i | ||||
\(742\) | 5.89666e6 | + | 4.28417e6i | 0.393184 | + | 0.285665i | ||||
\(743\) | −6.93275e6 | −0.460716 | −0.230358 | − | 0.973106i | \(-0.573990\pi\) | ||||
−0.230358 | + | 0.973106i | \(0.573990\pi\) | |||||||
\(744\) | 2.98848e6 | + | 2.17126e6i | 0.197933 | + | 0.143807i | ||||
\(745\) | −5.55968e6 | + | 2.08878e7i | −0.366994 | + | 1.37880i | ||||
\(746\) | 3.80822e6 | − | 2.76684e6i | 0.250539 | − | 0.182027i | ||||
\(747\) | −1.42955e7 | + | 1.03863e7i | −0.937340 | + | 0.681017i | ||||
\(748\) | −4.00939e6 | − | 1.23396e7i | −0.262014 | − | 0.806395i | ||||
\(749\) | −1.86972e7 | −1.21779 | ||||||||
\(750\) | −5.32122e6 | + | 870020.i | −0.345428 | + | 0.0564776i | ||||
\(751\) | 3.62153e6 | 0.234311 | 0.117155 | − | 0.993114i | \(-0.462622\pi\) | ||||
0.117155 | + | 0.993114i | \(0.462622\pi\) | |||||||
\(752\) | −1.95078e6 | − | 6.00388e6i | −0.125795 | − | 0.387158i | ||||
\(753\) | −2.65481e7 | + | 1.92883e7i | −1.70626 | + | 1.23967i | ||||
\(754\) | 352694. | − | 256247.i | 0.0225928 | − | 0.0164146i | ||||
\(755\) | −2.83020e6 | + | 1.06331e7i | −0.180696 | + | 0.678880i | ||||
\(756\) | −4.13439e6 | − | 3.00381e6i | −0.263092 | − | 0.191147i | ||||
\(757\) | 1.83873e7 | 1.16621 | 0.583107 | − | 0.812395i | \(-0.301837\pi\) | ||||
0.583107 | + | 0.812395i | \(0.301837\pi\) | |||||||
\(758\) | 668095. | + | 485400.i | 0.0422343 | + | 0.0306850i | ||||
\(759\) | −2.96354e6 | + | 9.12083e6i | −0.186727 | + | 0.574685i | ||||
\(760\) | −2.67441e6 | + | 144618.i | −0.167956 | + | 0.00908214i | ||||
\(761\) | 153700. | + | 473039.i | 0.00962080 | + | 0.0296098i | 0.955752 | − | 0.294175i | \(-0.0950447\pi\) |
−0.946131 | + | 0.323784i | \(0.895045\pi\) | |||||||
\(762\) | 1.28301e6 | − | 3.94869e6i | 0.0800464 | − | 0.246357i | ||||
\(763\) | 9.35205e6 | − | 2.87826e7i | 0.581561 | − | 1.78986i | ||||
\(764\) | 6.52176e6 | + | 2.00719e7i | 0.404233 | + | 1.24410i | ||||
\(765\) | −3.34673e6 | − | 8.67539e6i | −0.206760 | − | 0.535964i | ||||
\(766\) | 739328. | − | 2.27542e6i | 0.0455266 | − | 0.140116i | ||||
\(767\) | −909992. | − | 661148.i | −0.0558533 | − | 0.0405798i | ||||
\(768\) | 9.08870e6 | 0.556031 | ||||||||
\(769\) | 8.22155e6 | + | 5.97330e6i | 0.501346 | + | 0.364249i | 0.809531 | − | 0.587077i | \(-0.199721\pi\) |
−0.308185 | + | 0.951327i | \(0.599721\pi\) | |||||||
\(770\) | 4.01936e6 | + | 1.04190e7i | 0.244304 | + | 0.633284i | ||||
\(771\) | 9.06228e6 | − | 6.58413e6i | 0.549037 | − | 0.398899i | ||||
\(772\) | −1.99872e7 | + | 1.45216e7i | −1.20700 | + | 0.876940i | ||||
\(773\) | 6.17330e6 | + | 1.89995e7i | 0.371594 | + | 1.14365i | 0.945748 | + | 0.324901i | \(0.105331\pi\) |
−0.574154 | + | 0.818747i | \(0.694669\pi\) | |||||||
\(774\) | 2.17773e6 | 0.130662 | ||||||||
\(775\) | −2.47581e6 | − | 5.51138e6i | −0.148069 | − | 0.329614i | ||||
\(776\) | −734429. | −0.0437820 | ||||||||
\(777\) | −2.20789e7 | − | 6.79518e7i | −1.31197 | − | 4.03784i | ||||
\(778\) | 5.11349e6 | − | 3.71517e6i | 0.302878 | − | 0.220054i | ||||
\(779\) | −5.12557e6 | + | 3.72394e6i | −0.302620 | + | 0.219867i | ||||
\(780\) | −8.29974e6 | + | 6.74387e6i | −0.488459 | + | 0.396892i | ||||
\(781\) | −1.16107e7 | − | 8.43565e6i | −0.681130 | − | 0.494870i | ||||
\(782\) | 933932. | 0.0546133 | ||||||||
\(783\) | −553085. | − | 401840.i | −0.0322395 | − | 0.0234233i | ||||
\(784\) | 1.17486e7 | − | 3.61584e7i | 0.682644 | − | 2.10096i | ||||
\(785\) | 3.44640e6 | − | 1.29482e7i | 0.199615 | − | 0.749956i | ||||
\(786\) | 3.11029e6 | + | 9.57247e6i | 0.179574 | + | 0.552673i | ||||
\(787\) | −3.58342e6 | + | 1.10286e7i | −0.206234 | + | 0.634724i | 0.793426 | + | 0.608667i | \(0.208295\pi\) |
−0.999660 | + | 0.0260575i | \(0.991705\pi\) | |||||||
\(788\) | −2.36828e6 | + | 7.28881e6i | −0.135868 | + | 0.418159i | ||||
\(789\) | 3.33443e6 | + | 1.02623e7i | 0.190690 | + | 0.586885i | ||||
\(790\) | 3.68267e6 | − | 2.99231e6i | 0.209940 | − | 0.170584i | ||||
\(791\) | −9.63227e6 | + | 2.96451e7i | −0.547378 | + | 1.68466i | ||||
\(792\) | 8.42415e6 | + | 6.12050e6i | 0.477214 | + | 0.346716i | ||||
\(793\) | −3.04231e6 | −0.171799 | ||||||||
\(794\) | −2.43482e6 | − | 1.76900e6i | −0.137061 | − | 0.0995810i | ||||
\(795\) | −2.00815e7 | − | 1.29937e7i | −1.12688 | − | 0.729144i | ||||
\(796\) | 1.17197e7 | − | 8.51486e6i | 0.655592 | − | 0.476316i | ||||
\(797\) | 1.22323e6 | − | 888728.i | 0.0682122 | − | 0.0495591i | −0.553157 | − | 0.833077i | \(-0.686577\pi\) |
0.621369 | + | 0.783518i | \(0.286577\pi\) | |||||||
\(798\) | 1.27690e6 | + | 3.92989e6i | 0.0709821 | + | 0.218460i | ||||
\(799\) | 6.01833e6 | 0.333510 | ||||||||
\(800\) | 1.10286e7 | + | 6.31859e6i | 0.609251 | + | 0.349056i | ||||
\(801\) | −3.91749e6 | −0.215738 | ||||||||
\(802\) | −1.95793e6 | − | 6.02588e6i | −0.107488 | − | 0.330814i | ||||
\(803\) | 8.59798e6 | − | 6.24680e6i | 0.470552 | − | 0.341876i | ||||
\(804\) | −1.96391e7 | + | 1.42686e7i | −1.07147 | + | 0.778469i | ||||
\(805\) | 1.14379e7 | − | 618501.i | 0.622095 | − | 0.0336396i | ||||
\(806\) | 680350. | + | 494303.i | 0.0368888 | + | 0.0268013i | ||||
\(807\) | 3.84102e7 | 2.07617 | ||||||||
\(808\) | −4.86495e6 | − | 3.53460e6i | −0.262150 | − | 0.190463i | ||||
\(809\) | 600991. | − | 1.84966e6i | 0.0322847 | − | 0.0993621i | −0.933616 | − | 0.358276i | \(-0.883365\pi\) |
0.965900 | + | 0.258914i | \(0.0833646\pi\) | |||||||
\(810\) | −4.47378e6 | − | 2.89474e6i | −0.239586 | − | 0.155024i | ||||
\(811\) | 5.03012e6 | + | 1.54811e7i | 0.268550 | + | 0.826513i | 0.990854 | + | 0.134937i | \(0.0430833\pi\) |
−0.722304 | + | 0.691576i | \(0.756917\pi\) | |||||||
\(812\) | 2.32052e6 | − | 7.14182e6i | 0.123508 | − | 0.380118i | ||||
\(813\) | 2.51010e6 | − | 7.72531e6i | 0.133188 | − | 0.409911i | ||||
\(814\) | −3.29723e6 | − | 1.01478e7i | −0.174417 | − | 0.536799i | ||||
\(815\) | −1.43470e7 | − | 9.28320e6i | −0.756603 | − | 0.489558i | ||||
\(816\) | −4.29261e6 | + | 1.32113e7i | −0.225681 | + | 0.694576i | ||||
\(817\) | −3.08002e6 | − | 2.23777e6i | −0.161435 | − | 0.117290i | ||||
\(818\) | −3.29179e6 | −0.172008 | ||||||||
\(819\) | 1.28421e7 | + | 9.33035e6i | 0.669001 | + | 0.486058i | ||||
\(820\) | 1.97914e7 | − | 1.07022e6i | 1.02788 | − | 0.0555823i | ||||
\(821\) | 1.99282e7 | − | 1.44787e7i | 1.03183 | − | 0.749671i | 0.0631589 | − | 0.998003i | \(-0.479882\pi\) |
0.968675 | + | 0.248332i | \(0.0798825\pi\) | |||||||
\(822\) | −4.43092e6 | + | 3.21925e6i | −0.228725 | + | 0.166179i | ||||
\(823\) | −9.41538e6 | − | 2.89776e7i | −0.484550 | − | 1.49129i | −0.832632 | − | 0.553826i | \(-0.813167\pi\) |
0.348083 | − | 0.937464i | \(-0.386833\pi\) | |||||||
\(824\) | −4.13541e6 | −0.212178 | ||||||||
\(825\) | −1.50169e7 | − | 3.34290e7i | −0.768150 | − | 1.70997i | ||||
\(826\) | 1.35967e6 | 0.0693399 | ||||||||
\(827\) | 5.08602e6 | + | 1.56531e7i | 0.258591 | + | 0.795862i | 0.993101 | + | 0.117264i | \(0.0374123\pi\) |
−0.734509 | + | 0.678598i | \(0.762588\pi\) | |||||||
\(828\) | 4.17395e6 | − | 3.03256e6i | 0.211579 | − | 0.153721i | ||||
\(829\) | 7.73751e6 | − | 5.62163e6i | 0.391034 | − | 0.284103i | −0.374845 | − | 0.927088i | \(-0.622304\pi\) |
0.765879 | + | 0.642984i | \(0.222304\pi\) | |||||||
\(830\) | 5.69392e6 | + | 3.68424e6i | 0.286891 | + | 0.185632i | ||||
\(831\) | 1.95371e7 | + | 1.41946e7i | 0.981428 | + | 0.713049i | ||||
\(832\) | 6.17671e6 | 0.309349 | ||||||||
\(833\) | 2.93231e7 | + | 2.13045e7i | 1.46419 | + | 1.06380i | ||||
\(834\) | −344149. | + | 1.05918e6i | −0.0171329 | + | 0.0527298i | ||||
\(835\) | 1.23888e7 | − | 1.00664e7i | 0.614913 | − | 0.499641i | ||||
\(836\) | −2.71730e6 | − | 8.36298e6i | −0.134469 | − | 0.413852i | ||||
\(837\) | 407522. | − | 1.25422e6i | 0.0201065 | − | 0.0618816i | ||||
\(838\) | −362728. | + | 1.11636e6i | −0.0178431 | + | 0.0549155i | ||||
\(839\) | 2.11387e6 | + | 6.50583e6i | 0.103675 | + | 0.319078i | 0.989417 | − | 0.145099i | \(-0.0463500\pi\) |
−0.885742 | + | 0.464177i | \(0.846350\pi\) | |||||||
\(840\) | 6.88337e6 | − | 2.58610e7i | 0.336591 | − | 1.26458i | ||||
\(841\) | −6.02786e6 | + | 1.85519e7i | −0.293882 | + | 0.904477i | ||||
\(842\) | −1.43208e6 | − | 1.04046e6i | −0.0696123 | − | 0.0505763i | ||||
\(843\) | 1.59361e7 | 0.772347 | ||||||||
\(844\) | −2.41826e7 | − | 1.75697e7i | −1.16855 | − | 0.849000i | ||||
\(845\) | 1.21970e7 | − | 9.91058e6i | 0.587642 | − | 0.477482i | ||||
\(846\) | −1.88755e6 | + | 1.37139e6i | −0.0906721 | + | 0.0658771i | ||||
\(847\) | −2.87591e7 | + | 2.08947e7i | −1.37742 | + | 1.00076i | ||||
\(848\) | 5.13163e6 | + | 1.57935e7i | 0.245056 | + | 0.754205i | ||||
\(849\) | −3.02107e7 | −1.43844 | ||||||||
\(850\) | −2.64421e6 | + | 2.39682e6i | −0.125530 | + | 0.113786i | ||||
\(851\) | −1.09445e7 | −0.518050 | ||||||||
\(852\) | 5.13371e6 | + | 1.57999e7i | 0.242288 | + | 0.745687i | ||||
\(853\) | −1.87802e7 | + | 1.36446e7i | −0.883746 | + | 0.642079i | −0.934240 | − | 0.356645i | \(-0.883921\pi\) |
0.0504936 | + | 0.998724i | \(0.483921\pi\) | |||||||
\(854\) | 2.97518e6 | − | 2.16160e6i | 0.139595 | − | 0.101422i | ||||
\(855\) | −2.26819e6 | − | 5.87960e6i | −0.106112 | − | 0.275063i | ||||
\(856\) | 5.41330e6 | + | 3.93299e6i | 0.252510 | + | 0.183459i | ||||
\(857\) | −3.46301e7 | −1.61065 | −0.805327 | − | 0.592831i | \(-0.798010\pi\) | ||||
−0.805327 | + | 0.592831i | \(0.798010\pi\) | |||||||
\(858\) | 4.12663e6 | + | 2.99817e6i | 0.191372 | + | 0.139040i | ||||
\(859\) | −1.50888e6 | + | 4.64387e6i | −0.0697707 | + | 0.214732i | −0.979862 | − | 0.199676i | \(-0.936011\pi\) |
0.910091 | + | 0.414408i | \(0.136011\pi\) | |||||||
\(860\) | 4.28675e6 | + | 1.11121e7i | 0.197643 | + | 0.512332i | ||||
\(861\) | −1.95620e7 | − | 6.02055e7i | −0.899300 | − | 2.76776i | ||||
\(862\) | −922975. | + | 2.84063e6i | −0.0423079 | + | 0.130210i | ||||
\(863\) | 3.27436e6 | − | 1.00774e7i | 0.149658 | − | 0.460599i | −0.847923 | − | 0.530120i | \(-0.822147\pi\) |
0.997581 | + | 0.0695205i | \(0.0221469\pi\) | |||||||
\(864\) | 857306. | + | 2.63852e6i | 0.0390707 | + | 0.120247i | ||||
\(865\) | 1.04047e7 | − | 562631.i | 0.472813 | − | 0.0255672i | ||||
\(866\) | −257674. | + | 793038.i | −0.0116755 | + | 0.0359335i | ||||
\(867\) | 1.37612e7 | + | 9.99810e6i | 0.621740 | + | 0.451720i | ||||
\(868\) | 1.44856e7 | 0.652586 | ||||||||
\(869\) | 2.60917e7 | + | 1.89567e7i | 1.17207 | + | 0.851558i | ||||
\(870\) | 444810. | − | 1.67116e6i | 0.0199240 | − | 0.0748548i | ||||
\(871\) | −9.25572e6 | + | 6.72467e6i | −0.413395 | + | 0.300349i | ||||
\(872\) | −8.76214e6 | + | 6.36607e6i | −0.390229 | + | 0.283518i | ||||
\(873\) | −534003. | − | 1.64349e6i | −0.0237142 | − | 0.0729848i | ||||
\(874\) | 632957. | 0.0280282 | ||||||||
\(875\) | −3.07964e7 | + | 3.11051e7i | −1.35982 | + | 1.37344i | ||||
\(876\) | −1.23023e7 | −0.541661 | ||||||||
\(877\) | 8.60061e6 | + | 2.64700e7i | 0.377599 | + | 1.16213i | 0.941709 | + | 0.336430i | \(0.109219\pi\) |
−0.564110 | + | 0.825700i | \(0.690781\pi\) | |||||||
\(878\) | 3.85291e6 | − | 2.79930e6i | 0.168676 | − | 0.122550i | ||||
\(879\) | 5.42438e6 | − | 3.94104e6i | 0.236798 | − | 0.172044i | ||||
\(880\) | −6.54439e6 | + | 2.45874e7i | −0.284880 | + | 1.07030i | ||||
\(881\) | 1.17041e7 | + | 8.50356e6i | 0.508043 | + | 0.369115i | 0.812081 | − | 0.583545i | \(-0.198335\pi\) |
−0.304038 | + | 0.952660i | \(0.598335\pi\) | |||||||
\(882\) | −1.40513e7 | −0.608200 | ||||||||
\(883\) | 2.65917e6 | + | 1.93200e6i | 0.114774 | + | 0.0833885i | 0.643692 | − | 0.765285i | \(-0.277402\pi\) |
−0.528917 | + | 0.848673i | \(0.677402\pi\) | |||||||
\(884\) | −2.18734e6 | + | 6.73195e6i | −0.0941426 | + | 0.289741i | ||||
\(885\) | −4.45540e6 | + | 240924.i | −0.191218 | + | 0.0103400i | ||||
\(886\) | 3.34161e6 | + | 1.02844e7i | 0.143012 | + | 0.440144i | ||||
\(887\) | 2.03125e6 | − | 6.25153e6i | 0.0866869 | − | 0.266795i | −0.898311 | − | 0.439360i | \(-0.855205\pi\) |
0.984998 | + | 0.172565i | \(0.0552054\pi\) | |||||||
\(888\) | −7.90142e6 | + | 2.43181e7i | −0.336258 | + | 1.03490i | ||||
\(889\) | −1.04155e7 | − | 3.20557e7i | −0.442005 | − | 1.36035i | ||||
\(890\) | 541158. | + | 1.40279e6i | 0.0229007 | + | 0.0593633i | ||||
\(891\) | 1.11917e7 | − | 3.44446e7i | 0.472284 | − | 1.45354i | ||||
\(892\) | −8.53033e6 | − | 6.19765e6i | −0.358966 | − | 0.260804i | ||||
\(893\) | 4.07882e6 | 0.171162 | ||||||||
\(894\) | −9.65503e6 | − | 7.01479e6i | −0.404026 | − | 0.293542i | ||||
\(895\) | −1.61867e7 | − | 4.19593e7i | −0.675464 | − | 1.75094i | ||||
\(896\) | −3.24241e7 | + | 2.35575e7i | −1.34927 | + | 0.980299i | ||||
\(897\) | 4.23277e6 | − | 3.07529e6i | 0.175648 | − | 0.127616i | ||||
\(898\) | 676051. | + | 2.08067e6i | 0.0279762 | + | 0.0861019i | ||||
\(899\) | 1.93784e6 | 0.0799683 | ||||||||
\(900\) | −4.03489e6 | + | 1.92979e7i | −0.166045 | + | 0.794152i | ||||
\(901\) | −1.58315e7 | −0.649697 | ||||||||
\(902\) | −2.92135e6 | − | 8.99100e6i | −0.119555 | − | 0.367953i | ||||
\(903\) | 3.07751e7 | − | 2.23594e7i | 1.25597 | − | 0.912518i | ||||
\(904\) | 9.02469e6 | − | 6.55682e6i | 0.367292 | − | 0.266853i | ||||
\(905\) | −1.60392e7 | + | 1.30325e7i | −0.650969 | + | 0.528939i | ||||
\(906\) | −4.91497e6 | − | 3.57094e6i | −0.198930 | − | 0.144531i | ||||
\(907\) | 1.86258e6 | 0.0751789 | 0.0375894 | − | 0.999293i | \(-0.488032\pi\) | ||||
0.0375894 | + | 0.999293i | \(0.488032\pi\) | |||||||
\(908\) | −2.89598e7 | − | 2.10405e7i | −1.16568 | − | 0.846918i | ||||
\(909\) | 4.37235e6 | − | 1.34567e7i | 0.175511 | − | 0.540169i | ||||
\(910\) | 1.56705e6 | − | 5.88745e6i | 0.0627307 | − | 0.235680i | ||||
\(911\) | −1.16821e7 | − | 3.59539e7i | −0.466365 | − | 1.43532i | −0.857257 | − | 0.514888i | \(-0.827833\pi\) |
0.390892 | − | 0.920437i | \(-0.372167\pi\) | |||||||
\(912\) | −2.90925e6 | + | 8.95374e6i | −0.115823 | + | 0.356465i | ||||
\(913\) | −1.42441e7 | + | 4.38388e7i | −0.565532 | + | 1.74053i | ||||
\(914\) | 2.45770e6 | + | 7.56401e6i | 0.0973111 | + | 0.299493i | ||||
\(915\) | −9.36615e6 | + | 7.61037e6i | −0.369835 | + | 0.300506i | ||||
\(916\) | −1.05493e7 | + | 3.24673e7i | −0.415416 | + | 1.27852i | ||||
\(917\) | 6.61040e7 | + | 4.80273e7i | 2.59600 | + | 1.88610i | ||||
\(918\) | −778968. | −0.0305079 | ||||||||
\(919\) | 4.61252e6 | + | 3.35119e6i | 0.180156 | + | 0.130891i | 0.674209 | − | 0.738541i | \(-0.264485\pi\) |
−0.494052 | + | 0.869432i | \(0.664485\pi\) | |||||||
\(920\) | −3.44166e6 | − | 2.22692e6i | −0.134060 | − | 0.0867430i | ||||
\(921\) | −4.21115e7 | + | 3.05958e7i | −1.63588 | + | 1.18854i | ||||
\(922\) | 1.06367e7 | − | 7.72798e6i | 0.412076 | − | 0.299391i | ||||
\(923\) | 2.41948e6 | + | 7.44638e6i | 0.0934796 | + | 0.287701i | ||||
\(924\) | 8.78618e7 | 3.38548 | ||||||||
\(925\) | 3.09867e7 | − | 2.80877e7i | 1.19075 | − | 1.07935i | ||||
\(926\) | −4.08513e6 | −0.156559 | ||||||||
\(927\) | −3.00686e6 | − | 9.25415e6i | −0.114925 | − | 0.353702i | ||||
\(928\) | −3.29807e6 | + | 2.39619e6i | −0.125716 | + | 0.0913378i | ||||
\(929\) | 3.79069e7 | − | 2.75410e7i | 1.44105 | − | 1.04698i | 0.453229 | − | 0.891394i | \(-0.350272\pi\) |
0.987822 | − | 0.155591i | \(-0.0497281\pi\) | |||||||
\(930\) | 3.33105e6 | − | 180125.i | 0.126291 | − | 0.00682917i | ||||
\(931\) | 1.98733e7 | + | 1.44388e7i | 0.751441 | + | 0.545954i | ||||
\(932\) | 2.90300e6 | 0.109473 | ||||||||
\(933\) | 9.61104e6 | + | 6.98283e6i | 0.361465 | + | 0.262620i | ||||
\(934\) | −2.55076e6 | + | 7.85044e6i | −0.0956760 | + | 0.294460i | ||||
\(935\) | −2.03650e7 | − | 1.31771e7i | −0.761827 | − | 0.492938i | ||||
\(936\) | −1.75545e6 | − | 5.40273e6i | −0.0654938 | − | 0.201569i | ||||
\(937\) | −1.08256e6 | + | 3.33179e6i | −0.0402814 | + | 0.123973i | −0.969175 | − | 0.246373i | \(-0.920761\pi\) |
0.928894 | + | 0.370347i | \(0.120761\pi\) | |||||||
\(938\) | 4.27354e6 | − | 1.31526e7i | 0.158592 | − | 0.488096i | ||||
\(939\) | −1.39434e7 | − | 4.29134e7i | −0.516066 | − | 1.58829i | ||||
\(940\) | −1.07133e7 | − | 6.93198e6i | −0.395459 | − | 0.255881i | ||||
\(941\) | −1.16832e6 | + | 3.59572e6i | −0.0430119 | + | 0.132377i | −0.970256 | − | 0.242079i | \(-0.922171\pi\) |
0.927245 | + | 0.374456i | \(0.122171\pi\) | |||||||
\(942\) | 5.98509e6 | + | 4.34842e6i | 0.219757 | + | 0.159663i | ||||
\(943\) | −9.69685e6 | −0.355101 | ||||||||
\(944\) | 2.50620e6 | + | 1.82086e6i | 0.0915346 | + | 0.0665037i | ||||
\(945\) | −9.54005e6 | + | 515875.i | −0.347513 | + | 0.0187916i | ||||
\(946\) | 4.59591e6 | − | 3.33913e6i | 0.166972 | − | 0.121312i | ||||
\(947\) | 1.00989e7 | − | 7.33732e6i | 0.365933 | − | 0.265866i | −0.389590 | − | 0.920989i | \(-0.627383\pi\) |
0.755522 | + | 0.655123i | \(0.227383\pi\) | |||||||
\(948\) | −1.15366e7 | − | 3.55059e7i | −0.416923 | − | 1.28316i | ||||
\(949\) | −5.79799e6 | −0.208983 | ||||||||
\(950\) | −1.79207e6 | + | 1.62440e6i | −0.0644237 | + | 0.0583963i | ||||
\(951\) | −1.26908e7 | −0.455027 | ||||||||
\(952\) | −5.47365e6 | − | 1.68462e7i | −0.195742 | − | 0.602433i | ||||
\(953\) | −6.99699e6 | + | 5.08361e6i | −0.249562 | + | 0.181318i | −0.705533 | − | 0.708677i | \(-0.749292\pi\) |
0.455971 | + | 0.889995i | \(0.349292\pi\) | |||||||
\(954\) | 4.96531e6 | − | 3.60751e6i | 0.176634 | − | 0.128332i | ||||
\(955\) | 3.31263e7 | + | 2.14342e7i | 1.17534 | + | 0.760501i | ||||
\(956\) | 9.23555e6 | + | 6.71002e6i | 0.326827 | + | 0.237454i | ||||
\(957\) | 1.17539e7 | 0.414859 | ||||||||
\(958\) | 539979. | + | 392318.i | 0.0190092 | + | 0.0138110i | ||||
\(959\) | −1.37395e7 | + | 4.22858e7i | −0.482418 | + | 1.48473i | ||||
\(960\) | 1.90158e7 | − | 1.54511e7i | 0.665943 | − | 0.541105i | ||||
\(961\) | −7.69176e6 | − | 2.36728e7i | −0.268669 | − | 0.826877i | ||||
\(962\) | −1.79882e6 | + | 5.53620e6i | −0.0626686 | + | 0.192874i | ||||
\(963\) | −4.86518e6 | + | 1.49735e7i | −0.169057 | + | 0.520304i | ||||
\(964\) | −5.73530e6 | − | 1.76514e7i | −0.198776 | − | 0.611769i | ||||
\(965\) | −1.18800e7 | + | 4.46335e7i | −0.410676 | + | 1.54292i | ||||
\(966\) | −1.95435e6 | + | 6.01487e6i | −0.0673844 | + | 0.207388i | ||||
\(967\) | −3.05297e7 | − | 2.21811e7i | −1.04992 | − | 0.762811i | −0.0777222 | − | 0.996975i | \(-0.524765\pi\) |
−0.972197 | + | 0.234164i | \(0.924765\pi\) | |||||||
\(968\) | 1.27217e7 | 0.436373 | ||||||||
\(969\) | −7.26115e6 | − | 5.27554e6i | −0.248426 | − | 0.180492i | ||||
\(970\) | −514742. | + | 418249.i | −0.0175655 | + | 0.0142727i | ||||
\(971\) | 2.06768e7 | − | 1.50226e7i | 0.703777 | − | 0.511324i | −0.177383 | − | 0.984142i | \(-0.556763\pi\) |
0.881160 | + | 0.472818i | \(0.156763\pi\) | |||||||
\(972\) | −2.99077e7 | + | 2.17292e7i | −1.01535 | + | 0.737698i | ||||
\(973\) | 2.79382e6 | + | 8.59850e6i | 0.0946056 | + | 0.291166i | ||||
\(974\) | −1.13129e7 | −0.382100 | ||||||||
\(975\) | −4.09174e6 | + | 1.95698e7i | −0.137847 | + | 0.659288i | ||||
\(976\) | 8.37878e6 | 0.281550 | ||||||||
\(977\) | −1.51897e7 | − | 4.67491e7i | −0.509112 | − | 1.56689i | −0.793746 | − | 0.608249i | \(-0.791872\pi\) |
0.284634 | − | 0.958636i | \(-0.408128\pi\) | |||||||
\(978\) | 7.63308e6 | − | 5.54576e6i | 0.255184 | − | 0.185402i | ||||
\(979\) | −8.26754e6 | + | 6.00672e6i | −0.275689 | + | 0.200300i | ||||
\(980\) | −2.76594e7 | − | 7.16989e7i | −0.919980 | − | 2.38477i | ||||
\(981\) | −2.06168e7 | − | 1.49790e7i | −0.683990 | − | 0.496948i | ||||
\(982\) | 1.40870e7 | 0.466166 | ||||||||
\(983\) | 2.75230e7 | + | 1.99966e7i | 0.908473 | + | 0.660044i | 0.940628 | − | 0.339439i | \(-0.110237\pi\) |
−0.0321555 | + | 0.999483i | \(0.510237\pi\) | |||||||
\(984\) | −7.00069e6 | + | 2.15459e7i | −0.230490 | + | 0.709377i | ||||
\(985\) | 5.15687e6 | + | 1.33676e7i | 0.169354 | + | 0.439000i | ||||
\(986\) | −353712. | − | 1.08861e6i | −0.0115866 | − | 0.0356600i | ||||
\(987\) | −1.25940e7 | + | 3.87603e7i | −0.411500 | + | 1.26647i | ||||
\(988\) | −1.48243e6 | + | 4.56247e6i | −0.0483151 | + | 0.148699i | ||||
\(989\) | −1.80063e6 | − | 5.54178e6i | −0.0585375 | − | 0.180160i | ||||
\(990\) | 9.38983e6 | − | 507752.i | 0.304488 | − | 0.0164651i | ||||
\(991\) | 9.97791e6 | − | 3.07088e7i | 0.322742 | − | 0.993298i | −0.649708 | − | 0.760184i | \(-0.725109\pi\) |
0.972450 | − | 0.233113i | \(-0.0748913\pi\) | |||||||
\(992\) | −6.36200e6 | − | 4.62226e6i | −0.205265 | − | 0.149134i | ||||
\(993\) | 5.90875e7 | 1.90161 | ||||||||
\(994\) | −7.65684e6 | − | 5.56302e6i | −0.245801 | − | 0.178585i | ||||
\(995\) | 6.96599e6 | − | 2.61713e7i | 0.223062 | − | 0.838047i | ||||
\(996\) | 4.31677e7 | − | 3.13632e7i | 1.37883 | − | 1.00178i | ||||
\(997\) | −4.54680e6 | + | 3.30344e6i | −0.144867 | + | 0.105252i | −0.657858 | − | 0.753142i | \(-0.728537\pi\) |
0.512991 | + | 0.858394i | \(0.328537\pi\) | |||||||
\(998\) | 2.90649e6 | + | 8.94527e6i | 0.0923726 | + | 0.284294i | ||||
\(999\) | 9.12850e6 | 0.289391 |
(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 | 25.6.d.a.6.6 | ✓ | 44 | |
25.11 | even | 5 | 625.6.a.d.1.11 | 22 | |||
25.14 | even | 10 | 625.6.a.c.1.12 | 22 | |||
25.21 | even | 5 | inner | 25.6.d.a.21.6 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.6.d.a.6.6 | ✓ | 44 | 1.1 | even | 1 | trivial | |
25.6.d.a.21.6 | yes | 44 | 25.21 | even | 5 | inner | |
625.6.a.c.1.12 | 22 | 25.14 | even | 10 | |||
625.6.a.d.1.11 | 22 | 25.11 | even | 5 |