Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.f (of order \(10\), 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: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 8.2 | ||
Character | \(\chi\) | \(=\) | 33.8 |
Dual form | 33.6.f.a.29.2 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.80447 | + | 5.67028i | −1.37965 | + | 1.00237i | −0.382736 | + | 0.923858i | \(0.625018\pi\) |
−0.996913 | + | 0.0785160i | \(0.974982\pi\) | |||||||
\(3\) | 14.8651 | − | 4.69358i | 0.953595 | − | 0.301093i | ||||
\(4\) | 18.8692 | − | 58.0733i | 0.589661 | − | 1.81479i | ||||
\(5\) | −46.3038 | + | 63.7318i | −0.828308 | + | 1.14007i | 0.159927 | + | 0.987129i | \(0.448874\pi\) |
−0.988236 | + | 0.152940i | \(0.951126\pi\) | |||||||
\(6\) | −89.4001 | + | 120.920i | −1.01382 | + | 1.37126i | ||||
\(7\) | −135.347 | − | 43.9769i | −1.04401 | − | 0.339219i | −0.263693 | − | 0.964607i | \(-0.584941\pi\) |
−0.780314 | + | 0.625388i | \(0.784941\pi\) | |||||||
\(8\) | 86.6348 | + | 266.635i | 0.478594 | + | 1.47296i | ||||
\(9\) | 198.941 | − | 139.541i | 0.818686 | − | 0.574242i | ||||
\(10\) | − | 759.949i | − | 2.40317i | ||||||
\(11\) | −281.284 | − | 286.234i | −0.700913 | − | 0.713247i | ||||
\(12\) | 7.91957 | − | 951.828i | 0.0158763 | − | 1.90812i | ||||
\(13\) | −87.0414 | − | 119.802i | −0.142846 | − | 0.196610i | 0.731599 | − | 0.681735i | \(-0.238774\pi\) |
−0.874445 | + | 0.485125i | \(0.838774\pi\) | |||||||
\(14\) | 1305.67 | − | 424.239i | 1.78039 | − | 0.578483i | ||||
\(15\) | −389.179 | + | 1164.71i | −0.446603 | + | 1.33656i | ||||
\(16\) | −607.228 | − | 441.177i | −0.592996 | − | 0.430837i | ||||
\(17\) | −1754.90 | − | 1275.01i | −1.47275 | − | 1.07002i | −0.979805 | − | 0.199954i | \(-0.935921\pi\) |
−0.492944 | − | 0.870061i | \(-0.664079\pi\) | |||||||
\(18\) | −761.391 | + | 2217.09i | −0.553893 | + | 1.61288i | ||||
\(19\) | −95.9970 | + | 31.1913i | −0.0610061 | + | 0.0198221i | −0.339361 | − | 0.940656i | \(-0.610211\pi\) |
0.278355 | + | 0.960478i | \(0.410211\pi\) | |||||||
\(20\) | 2827.40 | + | 3891.58i | 1.58056 | + | 2.17546i | ||||
\(21\) | −2218.35 | − | 18.4575i | −1.09770 | − | 0.00913325i | ||||
\(22\) | 3818.31 | + | 638.946i | 1.68195 | + | 0.281454i | ||||
\(23\) | 368.216i | 0.145139i | 0.997363 | + | 0.0725694i | \(0.0231199\pi\) | ||||
−0.997363 | + | 0.0725694i | \(0.976880\pi\) | |||||||
\(24\) | 2539.30 | + | 3556.91i | 0.899884 | + | 1.26051i | ||||
\(25\) | −952.014 | − | 2930.00i | −0.304645 | − | 0.937600i | ||||
\(26\) | 1358.62 | + | 441.444i | 0.394154 | + | 0.128068i | ||||
\(27\) | 2302.32 | − | 3008.03i | 0.607794 | − | 0.794095i | ||||
\(28\) | −5107.77 | + | 7030.24i | −1.23122 | + | 1.69463i | ||||
\(29\) | −1429.99 | + | 4401.07i | −0.315747 | + | 0.971768i | 0.659699 | + | 0.751530i | \(0.270684\pi\) |
−0.975446 | + | 0.220239i | \(0.929316\pi\) | |||||||
\(30\) | −3566.88 | − | 11296.7i | −0.723578 | − | 2.29165i | ||||
\(31\) | −3090.40 | + | 2245.31i | −0.577578 | + | 0.419635i | −0.837850 | − | 0.545900i | \(-0.816188\pi\) |
0.260272 | + | 0.965535i | \(0.416188\pi\) | |||||||
\(32\) | −1730.70 | −0.298777 | ||||||||
\(33\) | −5524.78 | − | 2934.66i | −0.883141 | − | 0.469108i | ||||
\(34\) | 20925.7 | 3.10443 | ||||||||
\(35\) | 9069.81 | − | 6589.60i | 1.25149 | − | 0.909262i | ||||
\(36\) | −4349.76 | − | 14186.2i | −0.559382 | − | 1.82435i | ||||
\(37\) | −2571.90 | + | 7915.49i | −0.308851 | + | 0.950547i | 0.669360 | + | 0.742938i | \(0.266568\pi\) |
−0.978212 | + | 0.207609i | \(0.933432\pi\) | |||||||
\(38\) | 572.342 | − | 787.762i | 0.0642979 | − | 0.0884985i | ||||
\(39\) | −1856.18 | − | 1372.33i | −0.195415 | − | 0.144477i | ||||
\(40\) | −21004.6 | − | 6824.81i | −2.07570 | − | 0.674436i | ||||
\(41\) | 4267.35 | + | 13133.5i | 0.396459 | + | 1.22018i | 0.927819 | + | 0.373030i | \(0.121681\pi\) |
−0.531360 | + | 0.847146i | \(0.678319\pi\) | |||||||
\(42\) | 17417.7 | − | 12434.6i | 1.52359 | − | 1.08770i | ||||
\(43\) | 488.950i | 0.0403268i | 0.999797 | + | 0.0201634i | \(0.00641864\pi\) | ||||
−0.999797 | + | 0.0201634i | \(0.993581\pi\) | |||||||
\(44\) | −21930.2 | + | 10934.1i | −1.70770 | + | 0.851436i | ||||
\(45\) | −318.528 | + | 19140.1i | −0.0234486 | + | 1.40901i | ||||
\(46\) | −2087.89 | − | 2873.73i | −0.145483 | − | 0.200241i | ||||
\(47\) | 10651.2 | − | 3460.77i | 0.703319 | − | 0.228522i | 0.0645427 | − | 0.997915i | \(-0.479441\pi\) |
0.638776 | + | 0.769393i | \(0.279441\pi\) | |||||||
\(48\) | −11097.2 | − | 3708.05i | −0.695200 | − | 0.232297i | ||||
\(49\) | 2787.69 | + | 2025.38i | 0.165865 | + | 0.120508i | ||||
\(50\) | 24043.9 | + | 17468.9i | 1.36013 | + | 0.988191i | ||||
\(51\) | −32071.0 | − | 10716.3i | −1.72658 | − | 0.576925i | ||||
\(52\) | −8599.71 | + | 2794.21i | −0.441037 | + | 0.143302i | ||||
\(53\) | −20254.1 | − | 27877.3i | −0.990427 | − | 1.36321i | −0.931019 | − | 0.364972i | \(-0.881079\pi\) |
−0.0594083 | − | 0.998234i | \(-0.518921\pi\) | |||||||
\(54\) | −912.020 | + | 36530.9i | −0.0425618 | + | 1.70481i | ||||
\(55\) | 31266.8 | − | 4673.01i | 1.39372 | − | 0.208300i | ||||
\(56\) | − | 39898.1i | − | 1.70013i | ||||||
\(57\) | −1280.60 | + | 914.231i | −0.0522068 | + | 0.0372708i | ||||
\(58\) | −13794.9 | − | 42456.5i | −0.538456 | − | 1.65720i | ||||
\(59\) | 14905.9 | + | 4843.22i | 0.557479 | + | 0.181136i | 0.574187 | − | 0.818725i | \(-0.305318\pi\) |
−0.0167076 | + | 0.999860i | \(0.505318\pi\) | |||||||
\(60\) | 60295.0 | + | 44578.0i | 2.16224 | + | 1.59861i | ||||
\(61\) | −3143.46 | + | 4326.60i | −0.108164 | + | 0.148875i | −0.859667 | − | 0.510854i | \(-0.829329\pi\) |
0.751503 | + | 0.659729i | \(0.229329\pi\) | |||||||
\(62\) | 11387.4 | − | 35046.9i | 0.376224 | − | 1.15790i | ||||
\(63\) | −33062.6 | + | 10137.6i | −1.04951 | + | 0.321800i | ||||
\(64\) | 32938.5 | − | 23931.2i | 1.00520 | − | 0.730323i | ||||
\(65\) | 11665.6 | 0.342470 | ||||||||
\(66\) | 59758.3 | − | 8423.56i | 1.68865 | − | 0.238032i | ||||
\(67\) | 16315.4 | 0.444028 | 0.222014 | − | 0.975043i | \(-0.428737\pi\) | ||||
0.222014 | + | 0.975043i | \(0.428737\pi\) | |||||||
\(68\) | −107157. | + | 77854.3i | −2.81028 | + | 2.04179i | ||||
\(69\) | 1728.25 | + | 5473.56i | 0.0437003 | + | 0.138404i | ||||
\(70\) | −33420.2 | + | 102857.i | −0.815199 | + | 2.50893i | ||||
\(71\) | −20780.1 | + | 28601.4i | −0.489218 | + | 0.673351i | −0.980244 | − | 0.197794i | \(-0.936622\pi\) |
0.491025 | + | 0.871145i | \(0.336622\pi\) | |||||||
\(72\) | 54441.6 | + | 40955.3i | 1.23765 | + | 0.931063i | ||||
\(73\) | −45687.9 | − | 14844.9i | −1.00345 | − | 0.326040i | −0.239205 | − | 0.970969i | \(-0.576887\pi\) |
−0.764242 | + | 0.644929i | \(0.776887\pi\) | |||||||
\(74\) | −24810.8 | − | 76359.6i | −0.526697 | − | 1.62101i | ||||
\(75\) | −27903.9 | − | 39086.3i | −0.572813 | − | 0.802364i | ||||
\(76\) | 6163.42i | 0.122402i | ||||||||
\(77\) | 25483.3 | + | 51111.0i | 0.489811 | + | 0.982398i | ||||
\(78\) | 22268.0 | + | 185.278i | 0.414424 | + | 0.00344816i | ||||
\(79\) | 26971.6 | + | 37123.3i | 0.486228 | + | 0.669235i | 0.979687 | − | 0.200534i | \(-0.0642677\pi\) |
−0.493459 | + | 0.869769i | \(0.664268\pi\) | |||||||
\(80\) | 56234.0 | − | 18271.5i | 0.982367 | − | 0.319190i | ||||
\(81\) | 20105.7 | − | 55520.7i | 0.340492 | − | 0.940247i | ||||
\(82\) | −107775. | − | 78303.4i | −1.77005 | − | 1.28601i | ||||
\(83\) | −22519.9 | − | 16361.6i | −0.358815 | − | 0.260694i | 0.393743 | − | 0.919221i | \(-0.371180\pi\) |
−0.752558 | + | 0.658526i | \(0.771180\pi\) | |||||||
\(84\) | −42930.3 | + | 128479.i | −0.663844 | + | 1.98670i | ||||
\(85\) | 162517. | − | 52804.9i | 2.43978 | − | 0.792733i | ||||
\(86\) | −2772.48 | − | 3816.00i | −0.0404225 | − | 0.0556368i | ||||
\(87\) | −600.182 | + | 72133.9i | −0.00850128 | + | 1.02174i | ||||
\(88\) | 51950.9 | − | 99798.0i | 0.715133 | − | 1.37377i | ||||
\(89\) | − | 101994.i | − | 1.36490i | −0.730933 | − | 0.682449i | \(-0.760915\pi\) | ||
0.730933 | − | 0.682449i | \(-0.239085\pi\) | |||||||
\(90\) | −106044. | − | 151185.i | −1.38000 | − | 1.96744i | ||||
\(91\) | 6512.26 | + | 20042.7i | 0.0824381 | + | 0.253719i | ||||
\(92\) | 21383.5 | + | 6947.94i | 0.263397 | + | 0.0855827i | ||||
\(93\) | −35400.5 | + | 47881.7i | −0.424426 | + | 0.574067i | ||||
\(94\) | −63503.1 | + | 87404.5i | −0.741268 | + | 1.02027i | ||||
\(95\) | 2457.15 | − | 7562.33i | 0.0279333 | − | 0.0859700i | ||||
\(96\) | −25727.0 | + | 8123.19i | −0.284912 | + | 0.0899598i | ||||
\(97\) | −94705.3 | + | 68807.4i | −1.02199 | + | 0.742516i | −0.966689 | − | 0.255954i | \(-0.917611\pi\) |
−0.0552971 | + | 0.998470i | \(0.517611\pi\) | |||||||
\(98\) | −33240.9 | −0.349629 | ||||||||
\(99\) | −95900.3 | − | 17692.9i | −0.983404 | − | 0.181431i | ||||
\(100\) | −188118. | −1.88118 | ||||||||
\(101\) | 102140. | − | 74209.0i | 0.996305 | − | 0.723858i | 0.0350122 | − | 0.999387i | \(-0.488853\pi\) |
0.961293 | + | 0.275529i | \(0.0888530\pi\) | |||||||
\(102\) | 311062. | − | 98216.4i | 2.96037 | − | 0.934724i | ||||
\(103\) | −11144.0 | + | 34297.6i | −0.103501 | + | 0.318545i | −0.989376 | − | 0.145381i | \(-0.953559\pi\) |
0.885874 | + | 0.463925i | \(0.153559\pi\) | |||||||
\(104\) | 24402.6 | − | 33587.3i | 0.221234 | − | 0.304503i | ||||
\(105\) | 103895. | − | 140525.i | 0.919643 | − | 1.24388i | ||||
\(106\) | 316145. | + | 102722.i | 2.73288 | + | 0.887968i | ||||
\(107\) | −36469.8 | − | 112243.i | −0.307946 | − | 0.947760i | −0.978562 | − | 0.205955i | \(-0.933970\pi\) |
0.670616 | − | 0.741805i | \(-0.266030\pi\) | |||||||
\(108\) | −131243. | − | 190462.i | −1.08272 | − | 1.57127i | ||||
\(109\) | − | 167377.i | − | 1.34937i | −0.738107 | − | 0.674684i | \(-0.764280\pi\) | ||
0.738107 | − | 0.674684i | \(-0.235720\pi\) | |||||||
\(110\) | −217523. | + | 213762.i | −1.71405 | + | 1.68441i | ||||
\(111\) | −1079.45 | + | 129736.i | −0.00831563 | + | 0.999430i | ||||
\(112\) | 62784.9 | + | 86416.0i | 0.472944 | + | 0.650952i | ||||
\(113\) | −94788.6 | + | 30798.7i | −0.698329 | + | 0.226901i | −0.636602 | − | 0.771192i | \(-0.719661\pi\) |
−0.0617267 | + | 0.998093i | \(0.519661\pi\) | |||||||
\(114\) | 4810.48 | − | 14396.5i | 0.0346678 | − | 0.103751i | ||||
\(115\) | −23467.1 | − | 17049.8i | −0.165468 | − | 0.120220i | ||||
\(116\) | 228602. | + | 166089.i | 1.57737 | + | 1.14603i | ||||
\(117\) | −34033.4 | − | 11687.7i | −0.229848 | − | 0.0789340i | ||||
\(118\) | −143795. | + | 46721.9i | −0.950691 | + | 0.308898i | ||||
\(119\) | 181449. | + | 249743.i | 1.17459 | + | 1.61669i | ||||
\(120\) | −344268. | − | 2864.44i | −2.18245 | − | 0.0181588i | ||||
\(121\) | −2809.13 | + | 161026.i | −0.0174425 | + | 0.999848i | ||||
\(122\) | − | 51591.1i | − | 0.313816i | ||||||
\(123\) | 125078. | + | 175202.i | 0.745448 | + | 1.04418i | ||||
\(124\) | 72079.2 | + | 221837.i | 0.420975 | + | 1.29563i | ||||
\(125\) | −3312.78 | − | 1076.39i | −0.0189635 | − | 0.00616160i | ||||
\(126\) | 200553. | − | 266593.i | 1.12539 | − | 1.49597i | ||||
\(127\) | 63587.6 | − | 87520.8i | 0.349835 | − | 0.481506i | −0.597447 | − | 0.801909i | \(-0.703818\pi\) |
0.947282 | + | 0.320402i | \(0.103818\pi\) | |||||||
\(128\) | −104257. | + | 320869.i | −0.562444 | + | 1.73103i | ||||
\(129\) | 2294.93 | + | 7268.27i | 0.0121421 | + | 0.0384554i | ||||
\(130\) | −91043.5 | + | 66147.0i | −0.472488 | + | 0.343282i | ||||
\(131\) | 190575. | 0.970259 | 0.485129 | − | 0.874442i | \(-0.338773\pi\) | ||||
0.485129 | + | 0.874442i | \(0.338773\pi\) | |||||||
\(132\) | −274673. | + | 265468.i | −1.37209 | + | 1.32610i | ||||
\(133\) | 14364.6 | 0.0704149 | ||||||||
\(134\) | −127333. | + | 92512.9i | −0.612603 | + | 0.445082i | ||||
\(135\) | 85100.7 | + | 286014.i | 0.401882 | + | 1.35068i | ||||
\(136\) | 187926. | − | 578375.i | 0.871242 | − | 2.68141i | ||||
\(137\) | 85455.2 | − | 117619.i | 0.388989 | − | 0.535397i | −0.568949 | − | 0.822373i | \(-0.692650\pi\) |
0.957938 | + | 0.286975i | \(0.0926498\pi\) | |||||||
\(138\) | −44524.7 | − | 32918.6i | −0.199023 | − | 0.147144i | ||||
\(139\) | −105737. | − | 34356.0i | −0.464183 | − | 0.150822i | 0.0675825 | − | 0.997714i | \(-0.478471\pi\) |
−0.531766 | + | 0.846891i | \(0.678471\pi\) | |||||||
\(140\) | −211540. | − | 651054.i | −0.912165 | − | 2.80735i | ||||
\(141\) | 142087. | − | 101437.i | 0.601874 | − | 0.429682i | ||||
\(142\) | − | 341048.i | − | 1.41937i | ||||||
\(143\) | −9808.11 | + | 58612.7i | −0.0401093 | + | 0.239691i | ||||
\(144\) | −182365. | − | 3034.89i | −0.732882 | − | 0.0121966i | ||||
\(145\) | −214273. | − | 294922.i | −0.846347 | − | 1.16490i | ||||
\(146\) | 440745. | − | 143207.i | 1.71122 | − | 0.556009i | ||||
\(147\) | 50945.5 | + | 17023.1i | 0.194452 | + | 0.0649748i | ||||
\(148\) | 411149. | + | 298717.i | 1.54293 | + | 1.12100i | ||||
\(149\) | 197172. | + | 143254.i | 0.727576 | + | 0.528615i | 0.888796 | − | 0.458303i | \(-0.151543\pi\) |
−0.161219 | + | 0.986919i | \(0.551543\pi\) | |||||||
\(150\) | 439406. | + | 146825.i | 1.59455 | + | 0.532808i | ||||
\(151\) | −99271.5 | + | 32255.3i | −0.354309 | + | 0.115122i | −0.480763 | − | 0.876851i | \(-0.659640\pi\) |
0.126454 | + | 0.991972i | \(0.459640\pi\) | |||||||
\(152\) | −16633.4 | − | 22893.9i | −0.0583944 | − | 0.0803729i | ||||
\(153\) | −527035. | − | 8770.87i | −1.82017 | − | 0.0302910i | ||||
\(154\) | −488697. | − | 254397.i | −1.66050 | − | 0.864390i | ||||
\(155\) | − | 300923.i | − | 1.00607i | ||||||
\(156\) | −114720. | + | 81899.6i | −0.377424 | + | 0.269445i | ||||
\(157\) | 24769.8 | + | 76233.7i | 0.0801999 | + | 0.246830i | 0.983115 | − | 0.182989i | \(-0.0585773\pi\) |
−0.902915 | + | 0.429819i | \(0.858577\pi\) | |||||||
\(158\) | −420999. | − | 136791.i | −1.34165 | − | 0.435928i | ||||
\(159\) | −431923. | − | 319334.i | −1.35492 | − | 1.00173i | ||||
\(160\) | 80138.1 | − | 110301.i | 0.247479 | − | 0.340626i | ||||
\(161\) | 16193.0 | − | 49837.0i | 0.0492338 | − | 0.151526i | ||||
\(162\) | 157903. | + | 547315.i | 0.472720 | + | 1.63851i | ||||
\(163\) | −429941. | + | 312371.i | −1.26748 | + | 0.920876i | −0.999099 | − | 0.0424376i | \(-0.986488\pi\) |
−0.268378 | + | 0.963314i | \(0.586488\pi\) | |||||||
\(164\) | 843230. | 2.44814 | ||||||||
\(165\) | 442849. | − | 216218.i | 1.26633 | − | 0.618275i | ||||
\(166\) | 268531. | 0.756352 | ||||||||
\(167\) | −243154. | + | 176662.i | −0.674669 | + | 0.490176i | −0.871585 | − | 0.490244i | \(-0.836908\pi\) |
0.196916 | + | 0.980420i | \(0.436908\pi\) | |||||||
\(168\) | −187265. | − | 593088.i | −0.511898 | − | 1.62124i | ||||
\(169\) | 107959. | − | 332265.i | 0.290766 | − | 0.894887i | ||||
\(170\) | −968939. | + | 1.33363e6i | −2.57143 | + | 3.53927i | ||||
\(171\) | −14745.2 | + | 19600.7i | −0.0385622 | + | 0.0512604i | ||||
\(172\) | 28394.9 | + | 9226.08i | 0.0731846 | + | 0.0237791i | ||||
\(173\) | 90700.7 | + | 279148.i | 0.230407 | + | 0.709119i | 0.997698 | + | 0.0678200i | \(0.0216044\pi\) |
−0.767291 | + | 0.641299i | \(0.778396\pi\) | |||||||
\(174\) | −404336. | − | 566371.i | −1.01244 | − | 1.41817i | ||||
\(175\) | 438433.i | 1.08220i | ||||||||
\(176\) | 44523.8 | + | 297906.i | 0.108345 | + | 0.724932i | ||||
\(177\) | 244309. | + | 2032.75i | 0.586148 | + | 0.00487697i | ||||
\(178\) | 578336. | + | 796011.i | 1.36814 | + | 1.88308i | ||||
\(179\) | −23659.6 | + | 7687.48i | −0.0551919 | + | 0.0179329i | −0.336483 | − | 0.941690i | \(-0.609237\pi\) |
0.281291 | + | 0.959623i | \(0.409237\pi\) | |||||||
\(180\) | 1.10552e6 | + | 379656.i | 2.54323 | + | 0.873391i | ||||
\(181\) | −282729. | − | 205415.i | −0.641467 | − | 0.466053i | 0.218887 | − | 0.975750i | \(-0.429758\pi\) |
−0.860354 | + | 0.509697i | \(0.829758\pi\) | |||||||
\(182\) | −164472. | − | 119496.i | −0.368056 | − | 0.267409i | ||||
\(183\) | −26420.5 | + | 79069.3i | −0.0583194 | + | 0.174534i | ||||
\(184\) | −98179.2 | + | 31900.4i | −0.213784 | + | 0.0694626i | ||||
\(185\) | −385379. | − | 530429.i | −0.827864 | − | 1.13946i | ||||
\(186\) | 4779.41 | − | 574422.i | 0.0101296 | − | 1.21744i | ||||
\(187\) | 128674. | + | 860950.i | 0.269084 | + | 1.80042i | ||||
\(188\) | − | 683850.i | − | 1.41113i | ||||||
\(189\) | −443896. | + | 305879.i | −0.903913 | + | 0.622866i | ||||
\(190\) | 23703.8 | + | 72952.8i | 0.0476358 | + | 0.146608i | ||||
\(191\) | −533358. | − | 173299.i | −1.05788 | − | 0.343725i | −0.272122 | − | 0.962263i | \(-0.587726\pi\) |
−0.785755 | + | 0.618537i | \(0.787726\pi\) | |||||||
\(192\) | 377310. | − | 510339.i | 0.738661 | − | 0.999093i | ||||
\(193\) | 266408. | − | 366679.i | 0.514819 | − | 0.708587i | −0.469904 | − | 0.882718i | \(-0.655711\pi\) |
0.984723 | + | 0.174130i | \(0.0557114\pi\) | |||||||
\(194\) | 348968. | − | 1.07401e6i | 0.665703 | − | 2.04882i | ||||
\(195\) | 173409. | − | 54753.2i | 0.326577 | − | 0.103115i | ||||
\(196\) | 170222. | − | 123673.i | 0.316501 | − | 0.229951i | ||||
\(197\) | 201649. | 0.370194 | 0.185097 | − | 0.982720i | \(-0.440740\pi\) | ||||
0.185097 | + | 0.982720i | \(0.440740\pi\) | |||||||
\(198\) | 848775. | − | 405697.i | 1.53861 | − | 0.735426i | ||||
\(199\) | 184739. | 0.330694 | 0.165347 | − | 0.986235i | \(-0.447126\pi\) | ||||
0.165347 | + | 0.986235i | \(0.447126\pi\) | |||||||
\(200\) | 698761. | − | 507680.i | 1.23525 | − | 0.897460i | ||||
\(201\) | 242530. | − | 76577.7i | 0.423423 | − | 0.133694i | ||||
\(202\) | −376363. | + | 1.15832e6i | −0.648975 | + | 1.99734i | ||||
\(203\) | 387090. | − | 532784.i | 0.659284 | − | 0.907426i | ||||
\(204\) | −1.22748e6 | + | 1.66026e6i | −2.06510 | + | 2.79319i | ||||
\(205\) | −1.03462e6 | − | 336168.i | −1.71947 | − | 0.558691i | ||||
\(206\) | −107504. | − | 330864.i | −0.176505 | − | 0.543227i | ||||
\(207\) | 51381.2 | + | 73253.2i | 0.0833448 | + | 0.118823i | ||||
\(208\) | 111148.i | 0.178132i | ||||||||
\(209\) | 35930.5 | + | 18704.0i | 0.0568980 | + | 0.0296189i | ||||
\(210\) | −14026.8 | + | 1.68583e6i | −0.0219487 | + | 2.63795i | ||||
\(211\) | −273878. | − | 376961.i | −0.423498 | − | 0.582895i | 0.542948 | − | 0.839767i | \(-0.317308\pi\) |
−0.966446 | + | 0.256872i | \(0.917308\pi\) | |||||||
\(212\) | −2.00111e6 | + | 650199.i | −3.05795 | + | 0.993588i | ||||
\(213\) | −174655. | + | 522695.i | −0.263774 | + | 0.789404i | ||||
\(214\) | 921075. | + | 669200.i | 1.37487 | + | 0.998899i | ||||
\(215\) | −31161.6 | − | 22640.3i | −0.0459753 | − | 0.0334030i | ||||
\(216\) | 1.00151e6 | + | 353278.i | 1.46056 | + | 0.515207i | ||||
\(217\) | 517018. | − | 167989.i | 0.745344 | − | 0.242177i | ||||
\(218\) | 949076. | + | 1.30629e6i | 1.35257 | + | 1.86165i | ||||
\(219\) | −748830. | − | 6230.55i | −1.05505 | − | 0.00877842i | ||||
\(220\) | 318601. | − | 1.90394e6i | 0.443803 | − | 2.65214i | ||||
\(221\) | 321219.i | 0.442405i | ||||||||
\(222\) | −727214. | − | 1.01864e6i | −0.990329 | − | 1.38720i | ||||
\(223\) | −25906.4 | − | 79731.8i | −0.0348855 | − | 0.107367i | 0.932097 | − | 0.362208i | \(-0.117977\pi\) |
−0.966983 | + | 0.254841i | \(0.917977\pi\) | |||||||
\(224\) | 234245. | + | 76110.9i | 0.311925 | + | 0.101351i | ||||
\(225\) | −598249. | − | 450051.i | −0.787817 | − | 0.592659i | ||||
\(226\) | 565138. | − | 777846.i | 0.736010 | − | 1.01303i | ||||
\(227\) | −190894. | + | 587512.i | −0.245883 | + | 0.756749i | 0.749607 | + | 0.661883i | \(0.230242\pi\) |
−0.995490 | + | 0.0948661i | \(0.969758\pi\) | |||||||
\(228\) | 28928.5 | + | 91619.6i | 0.0368544 | + | 0.116722i | ||||
\(229\) | 1.17940e6 | − | 856883.i | 1.48618 | − | 1.07977i | 0.510683 | − | 0.859769i | \(-0.329393\pi\) |
0.975499 | − | 0.220005i | \(-0.0706074\pi\) | |||||||
\(230\) | 279826. | 0.348793 | ||||||||
\(231\) | 618705. | + | 640160.i | 0.762875 | + | 0.789330i | ||||
\(232\) | −1.29736e6 | −1.58249 | ||||||||
\(233\) | 162800. | − | 118281.i | 0.196455 | − | 0.142733i | −0.485209 | − | 0.874398i | \(-0.661256\pi\) |
0.681664 | + | 0.731665i | \(0.261256\pi\) | |||||||
\(234\) | 331885. | − | 101762.i | 0.396230 | − | 0.121492i | ||||
\(235\) | −272628. | + | 839064.i | −0.322034 | + | 0.991118i | ||||
\(236\) | 562524. | − | 774248.i | 0.657448 | − | 0.904899i | ||||
\(237\) | 575177. | + | 425247.i | 0.665166 | + | 0.491779i | ||||
\(238\) | −2.83223e6 | − | 920246.i | −3.24105 | − | 1.05308i | ||||
\(239\) | 88996.0 | + | 273901.i | 0.100780 | + | 0.310170i | 0.988717 | − | 0.149796i | \(-0.0478617\pi\) |
−0.887937 | + | 0.459966i | \(0.847862\pi\) | |||||||
\(240\) | 750163. | − | 535546.i | 0.840674 | − | 0.600163i | ||||
\(241\) | 810718.i | 0.899140i | 0.893245 | + | 0.449570i | \(0.148423\pi\) | ||||
−0.893245 | + | 0.449570i | \(0.851577\pi\) | |||||||
\(242\) | −891142. | − | 1.27266e6i | −0.978157 | − | 1.39692i | ||||
\(243\) | 38281.9 | − | 919686.i | 0.0415889 | − | 0.999135i | ||||
\(244\) | 191946. | + | 264190.i | 0.206397 | + | 0.284081i | ||||
\(245\) | −258162. | + | 83881.8i | −0.274774 | + | 0.0892796i | ||||
\(246\) | −1.96961e6 | − | 658133.i | −2.07512 | − | 0.693387i | ||||
\(247\) | 12092.5 | + | 8785.71i | 0.0126117 | + | 0.00916293i | ||||
\(248\) | −866413. | − | 629486.i | −0.894532 | − | 0.649915i | ||||
\(249\) | −411554. | − | 137518.i | −0.420657 | − | 0.140560i | ||||
\(250\) | 31957.9 | − | 10383.8i | 0.0323391 | − | 0.0105076i | ||||
\(251\) | 824096. | + | 1.13427e6i | 0.825645 | + | 1.13640i | 0.988718 | + | 0.149789i | \(0.0478595\pi\) |
−0.163073 | + | 0.986614i | \(0.552140\pi\) | |||||||
\(252\) | −35136.8 | + | 2.11134e6i | −0.0348546 | + | 2.09439i | ||||
\(253\) | 105396. | − | 103574.i | 0.103520 | − | 0.101730i | ||||
\(254\) | 1.04361e6i | 1.01497i | ||||||||
\(255\) | 2.16798e6 | − | 1.54773e6i | 2.08788 | − | 1.49055i | ||||
\(256\) | −603146. | − | 1.85629e6i | −0.575205 | − | 1.77030i | ||||
\(257\) | −67204.8 | − | 21836.2i | −0.0634698 | − | 0.0206226i | 0.277110 | − | 0.960838i | \(-0.410623\pi\) |
−0.340580 | + | 0.940216i | \(0.610623\pi\) | |||||||
\(258\) | −59123.9 | − | 43712.2i | −0.0552985 | − | 0.0408840i | ||||
\(259\) | 696198. | − | 958234.i | 0.644886 | − | 0.887610i | ||||
\(260\) | 220119. | − | 677457.i | 0.201941 | − | 0.621511i | ||||
\(261\) | 329645. | + | 1.07509e6i | 0.299533 | + | 0.976888i | ||||
\(262\) | −1.48734e6 | + | 1.08061e6i | −1.33862 | + | 0.972562i | ||||
\(263\) | 893893. | 0.796886 | 0.398443 | − | 0.917193i | \(-0.369551\pi\) | ||||
0.398443 | + | 0.917193i | \(0.369551\pi\) | |||||||
\(264\) | 303844. | − | 1.72734e6i | 0.268312 | − | 1.52534i | ||||
\(265\) | 2.71451e6 | 2.37453 | ||||||||
\(266\) | −112108. | + | 81451.3i | −0.0971478 | + | 0.0705820i | ||||
\(267\) | −478718. | − | 1.51615e6i | −0.410962 | − | 1.30156i | ||||
\(268\) | 307858. | − | 947490.i | 0.261826 | − | 0.805819i | ||||
\(269\) | −231934. | + | 319230.i | −0.195427 | + | 0.268982i | −0.895473 | − | 0.445116i | \(-0.853163\pi\) |
0.700046 | + | 0.714097i | \(0.253163\pi\) | |||||||
\(270\) | −2.28595e6 | − | 1.74964e6i | −1.90834 | − | 1.46063i | ||||
\(271\) | 1.10250e6 | + | 358226.i | 0.911921 | + | 0.296301i | 0.727149 | − | 0.686480i | \(-0.240845\pi\) |
0.184773 | + | 0.982781i | \(0.440845\pi\) | |||||||
\(272\) | 503118. | + | 1.54844e6i | 0.412333 | + | 1.26903i | ||||
\(273\) | 190877. | + | 267370.i | 0.155006 | + | 0.217123i | ||||
\(274\) | 1.40251e6i | 1.12857i | ||||||||
\(275\) | −570879. | + | 1.09666e6i | −0.455211 | + | 0.874462i | ||||
\(276\) | 350479. | + | 2916.11i | 0.276942 | + | 0.00230426i | ||||
\(277\) | −475798. | − | 654880.i | −0.372583 | − | 0.512817i | 0.581018 | − | 0.813891i | \(-0.302655\pi\) |
−0.953601 | + | 0.301074i | \(0.902655\pi\) | |||||||
\(278\) | 1.02003e6 | − | 331428.i | 0.791591 | − | 0.257203i | ||||
\(279\) | −301494. | + | 877920.i | −0.231883 | + | 0.675219i | ||||
\(280\) | 2.54278e6 | + | 1.84744e6i | 1.93827 | + | 1.40823i | ||||
\(281\) | −1.24667e6 | − | 905758.i | −0.941857 | − | 0.684299i | 0.00700969 | − | 0.999975i | \(-0.497769\pi\) |
−0.948867 | + | 0.315676i | \(0.897769\pi\) | |||||||
\(282\) | −533738. | + | 1.59733e6i | −0.399673 | + | 1.19611i | ||||
\(283\) | −957682. | + | 311170.i | −0.710813 | + | 0.230957i | −0.642036 | − | 0.766675i | \(-0.721910\pi\) |
−0.0687775 | + | 0.997632i | \(0.521910\pi\) | |||||||
\(284\) | 1.26887e6 | + | 1.74646e6i | 0.933518 | + | 1.28488i | ||||
\(285\) | 1031.29 | − | 123947.i | 0.000752088 | − | 0.0903910i | ||||
\(286\) | −255804. | − | 513056.i | −0.184923 | − | 0.370894i | ||||
\(287\) | − | 1.96525e6i | − | 1.40836i | ||||||
\(288\) | −344307. | + | 241504.i | −0.244604 | + | 0.171570i | ||||
\(289\) | 1.01526e6 | + | 3.12464e6i | 0.715041 | + | 2.20067i | ||||
\(290\) | 3.34458e6 | + | 1.08672e6i | 2.33532 | + | 0.758793i | ||||
\(291\) | −1.08485e6 | + | 1.46733e6i | −0.750994 | + | 1.01577i | ||||
\(292\) | −1.72419e6 | + | 2.37314e6i | −1.18339 | + | 1.62879i | ||||
\(293\) | −163543. | + | 503333.i | −0.111292 | + | 0.342520i | −0.991156 | − | 0.132705i | \(-0.957634\pi\) |
0.879864 | + | 0.475226i | \(0.157634\pi\) | |||||||
\(294\) | −494128. | + | 156019.i | −0.333405 | + | 0.105271i | ||||
\(295\) | −998868. | + | 725720.i | −0.668272 | + | 0.485528i | ||||
\(296\) | −2.33336e6 | −1.54793 | ||||||||
\(297\) | −1.50861e6 | + | 187109.i | −0.992396 | + | 0.123084i | ||||
\(298\) | −2.35111e6 | −1.53367 | ||||||||
\(299\) | 44113.1 | − | 32050.1i | 0.0285358 | − | 0.0207325i | ||||
\(300\) | −2.79639e6 | + | 882950.i | −1.79389 | + | 0.566412i | ||||
\(301\) | 21502.5 | − | 66177.9i | 0.0136796 | − | 0.0421014i | ||||
\(302\) | 591865. | − | 814632.i | 0.373427 | − | 0.513978i | ||||
\(303\) | 1.17001e6 | − | 1.58252e6i | 0.732122 | − | 0.990248i | ||||
\(304\) | 72052.9 | + | 23411.4i | 0.0447165 | + | 0.0145293i | ||||
\(305\) | −130188. | − | 400676.i | −0.0801346 | − | 0.246629i | ||||
\(306\) | 4.16297e6 | − | 2.91999e6i | 2.54155 | − | 1.78270i | ||||
\(307\) | − | 1.88152e6i | − | 1.13936i | −0.821865 | − | 0.569682i | \(-0.807066\pi\) | ||
0.821865 | − | 0.569682i | \(-0.192934\pi\) | |||||||
\(308\) | 3.44903e6 | − | 515479.i | 2.07167 | − | 0.309624i | ||||
\(309\) | −4677.22 | + | 562141.i | −0.00278671 | + | 0.334926i | ||||
\(310\) | 1.70632e6 | + | 2.34855e6i | 1.00845 | + | 1.38802i | ||||
\(311\) | −2.73518e6 | + | 888714.i | −1.60356 | + | 0.521028i | −0.967984 | − | 0.251011i | \(-0.919237\pi\) |
−0.635575 | + | 0.772039i | \(0.719237\pi\) | |||||||
\(312\) | 205101. | − | 613813.i | 0.119284 | − | 0.356985i | ||||
\(313\) | −992333. | − | 720972.i | −0.572528 | − | 0.415966i | 0.263495 | − | 0.964661i | \(-0.415125\pi\) |
−0.836023 | + | 0.548695i | \(0.815125\pi\) | |||||||
\(314\) | −625582. | − | 454512.i | −0.358063 | − | 0.260148i | ||||
\(315\) | 884835. | − | 2.57655e6i | 0.502442 | − | 1.46306i | ||||
\(316\) | 2.66481e6 | − | 865848.i | 1.50123 | − | 0.487780i | ||||
\(317\) | −1.88213e6 | − | 2.59053e6i | −1.05197 | − | 1.44791i | −0.887091 | − | 0.461595i | \(-0.847277\pi\) |
−0.164876 | − | 0.986314i | \(-0.552723\pi\) | |||||||
\(318\) | 5.18164e6 | + | 43113.2i | 2.87342 | + | 0.0239080i | ||||
\(319\) | 1.66197e6 | − | 828638.i | 0.914422 | − | 0.455920i | ||||
\(320\) | 3.20734e6i | 1.75093i | ||||||||
\(321\) | −1.06895e6 | − | 1.49732e6i | −0.579020 | − | 0.811058i | ||||
\(322\) | 156212. | + | 480770.i | 0.0839603 | + | 0.258403i | ||||
\(323\) | 208234. | + | 67659.2i | 0.111057 | + | 0.0360845i | ||||
\(324\) | −2.84489e6 | − | 2.21523e6i | −1.50558 | − | 1.17235i | ||||
\(325\) | −268156. | + | 369085.i | −0.140825 | + | 0.193828i | ||||
\(326\) | 1.58424e6 | − | 4.87578e6i | 0.825612 | − | 2.54097i | ||||
\(327\) | −785599. | − | 2.48807e6i | −0.406286 | − | 1.28675i | ||||
\(328\) | −3.13216e6 | + | 2.27564e6i | −1.60753 | + | 1.16794i | ||||
\(329\) | −1.59380e6 | −0.811789 | ||||||||
\(330\) | −2.23019e6 | + | 4.19855e6i | −1.12735 | + | 2.12234i | ||||
\(331\) | −32194.1 | −0.0161513 | −0.00807563 | − | 0.999967i | \(-0.502571\pi\) | ||||
−0.00807563 | + | 0.999967i | \(0.502571\pi\) | |||||||
\(332\) | −1.37511e6 | + | 999073.i | −0.684685 | + | 0.497453i | ||||
\(333\) | 592879. | + | 1.93360e6i | 0.292992 | + | 0.955555i | ||||
\(334\) | 895969. | − | 2.75751e6i | 0.439467 | − | 1.35254i | ||||
\(335\) | −755466. | + | 1.03981e6i | −0.367792 | + | 0.506223i | ||||
\(336\) | 1.33890e6 | + | 989894.i | 0.646995 | + | 0.478344i | ||||
\(337\) | −545285. | − | 177174.i | −0.261547 | − | 0.0849817i | 0.175308 | − | 0.984514i | \(-0.443908\pi\) |
−0.436855 | + | 0.899532i | \(0.643908\pi\) | |||||||
\(338\) | 1.04147e6 | + | 3.20532e6i | 0.495855 | + | 1.52609i | ||||
\(339\) | −1.26448e6 | + | 902723.i | −0.597605 | + | 0.426634i | ||||
\(340\) | − | 1.04343e7i | − | 4.89514i | ||||||
\(341\) | 1.51197e6 | + | 253009.i | 0.704135 | + | 0.117828i | ||||
\(342\) | 3937.19 | − | 236583.i | 0.00182021 | − | 0.109375i | ||||
\(343\) | 1.11765e6 | + | 1.53832e6i | 0.512946 | + | 0.706010i | ||||
\(344\) | −130371. | + | 42360.1i | −0.0593998 | + | 0.0193001i | ||||
\(345\) | −428864. | − | 143302.i | −0.193987 | − | 0.0648194i | ||||
\(346\) | −2.29072e6 | − | 1.66431e6i | −1.02868 | − | 0.747382i | ||||
\(347\) | 2.28614e6 | + | 1.66098e6i | 1.01925 | + | 0.740525i | 0.966128 | − | 0.258063i | \(-0.0830843\pi\) |
0.0531172 | + | 0.998588i | \(0.483084\pi\) | |||||||
\(348\) | 4.17773e6 | + | 1.39596e6i | 1.84924 | + | 0.617910i | ||||
\(349\) | −2.26642e6 | + | 736404.i | −0.996040 | + | 0.323633i | −0.761282 | − | 0.648421i | \(-0.775430\pi\) |
−0.234758 | + | 0.972054i | \(0.575430\pi\) | |||||||
\(350\) | −2.48604e6 | − | 3.42174e6i | −1.08477 | − | 1.49306i | ||||
\(351\) | −560765. | − | 13999.9i | −0.242948 | − | 0.00606538i | ||||
\(352\) | 486819. | + | 495386.i | 0.209417 | + | 0.213102i | ||||
\(353\) | − | 1.20688e6i | − | 0.515499i | −0.966212 | − | 0.257750i | \(-0.917019\pi\) | ||
0.966212 | − | 0.257750i | \(-0.0829809\pi\) | |||||||
\(354\) | −1.91823e6 | + | 1.36944e6i | −0.813567 | + | 0.580811i | ||||
\(355\) | −860618. | − | 2.64871e6i | −0.362443 | − | 1.11548i | ||||
\(356\) | −5.92314e6 | − | 1.92455e6i | −2.47701 | − | 0.804828i | ||||
\(357\) | 3.86944e6 | + | 2.86080e6i | 1.60686 | + | 1.18800i | ||||
\(358\) | 141061. | − | 194153.i | 0.0581699 | − | 0.0800640i | ||||
\(359\) | −1.03339e6 | + | 3.18045e6i | −0.423184 | + | 1.30243i | 0.481539 | + | 0.876424i | \(0.340078\pi\) |
−0.904723 | + | 0.426001i | \(0.859922\pi\) | |||||||
\(360\) | −5.13101e6 | + | 1.57327e6i | −2.08664 | + | 0.639804i | ||||
\(361\) | −1.99496e6 | + | 1.44943e6i | −0.805688 | + | 0.585367i | ||||
\(362\) | 3.37132e6 | 1.35216 | ||||||||
\(363\) | 714033. | + | 2.40685e6i | 0.284415 | + | 0.958701i | ||||
\(364\) | 1.28683e6 | 0.509057 | ||||||||
\(365\) | 3.06162e6 | − | 2.22440e6i | 1.20287 | − | 0.873937i | ||||
\(366\) | −242147. | − | 766905.i | −0.0944880 | − | 0.299253i | ||||
\(367\) | −156661. | + | 482152.i | −0.0607149 | + | 0.186861i | −0.976814 | − | 0.214092i | \(-0.931321\pi\) |
0.916099 | + | 0.400953i | \(0.131321\pi\) | |||||||
\(368\) | 162449. | − | 223591.i | 0.0625312 | − | 0.0860667i | ||||
\(369\) | 2.68162e6 | + | 2.01733e6i | 1.02525 | + | 0.771277i | ||||
\(370\) | 6.01537e6 | + | 1.95451e6i | 2.28432 | + | 0.742222i | ||||
\(371\) | 1.51537e6 | + | 4.66382e6i | 0.571588 | + | 1.75917i | ||||
\(372\) | 2.11267e6 | + | 2.95931e6i | 0.791544 | + | 1.10875i | ||||
\(373\) | − | 1.26218e6i | − | 0.469732i | −0.972028 | − | 0.234866i | \(-0.924535\pi\) | ||
0.972028 | − | 0.234866i | \(-0.0754652\pi\) | |||||||
\(374\) | −5.88607e6 | − | 5.98965e6i | −2.17594 | − | 2.21423i | ||||
\(375\) | −54296.8 | − | 451.770i | −0.0199387 | − | 0.000165897i | ||||
\(376\) | 1.84552e6 | + | 2.54014e6i | 0.673208 | + | 0.926592i | ||||
\(377\) | 651726. | − | 211759.i | 0.236163 | − | 0.0767339i | ||||
\(378\) | 1.72995e6 | − | 4.90424e6i | 0.622738 | − | 1.76539i | ||||
\(379\) | −3.88273e6 | − | 2.82097e6i | −1.38848 | − | 1.00879i | −0.996030 | − | 0.0890137i | \(-0.971628\pi\) |
−0.392447 | − | 0.919774i | \(-0.628372\pi\) | |||||||
\(380\) | −392805. | − | 285390.i | −0.139546 | − | 0.101386i | ||||
\(381\) | 534448. | − | 1.59946e6i | 0.188622 | − | 0.564495i | ||||
\(382\) | 5.14523e6 | − | 1.67179e6i | 1.80404 | − | 0.586168i | ||||
\(383\) | −1.49262e6 | − | 2.05441e6i | −0.519937 | − | 0.715632i | 0.465618 | − | 0.884986i | \(-0.345832\pi\) |
−0.985555 | + | 0.169353i | \(0.945832\pi\) | |||||||
\(384\) | −43757.6 | + | 5.25909e6i | −0.0151435 | + | 1.82005i | ||||
\(385\) | −4.43737e6 | − | 742538.i | −1.52572 | − | 0.255309i | ||||
\(386\) | 4.37235e6i | 1.49364i | ||||||||
\(387\) | 68228.5 | + | 97272.0i | 0.0231573 | + | 0.0330149i | ||||
\(388\) | 2.20887e6 | + | 6.79819e6i | 0.744887 | + | 2.29252i | ||||
\(389\) | 1.70007e6 | + | 552388.i | 0.569631 | + | 0.185084i | 0.579650 | − | 0.814865i | \(-0.303189\pi\) |
−0.0100189 | + | 0.999950i | \(0.503189\pi\) | |||||||
\(390\) | −1.04290e6 | + | 1.41060e6i | −0.347202 | + | 0.469615i | ||||
\(391\) | 469478. | − | 646181.i | 0.155301 | − | 0.213753i | ||||
\(392\) | −298524. | + | 918763.i | −0.0981215 | + | 0.301987i | ||||
\(393\) | 2.83291e6 | − | 894479.i | 0.925233 | − | 0.292138i | ||||
\(394\) | −1.57376e6 | + | 1.14341e6i | −0.510738 | + | 0.371073i | ||||
\(395\) | −3.61482e6 | −1.16572 | ||||||||
\(396\) | −2.83705e6 | + | 5.23540e6i | −0.909135 | + | 1.67769i | ||||
\(397\) | −4.56835e6 | −1.45473 | −0.727366 | − | 0.686249i | \(-0.759256\pi\) | ||||
−0.727366 | + | 0.686249i | \(0.759256\pi\) | |||||||
\(398\) | −1.44179e6 | + | 1.04752e6i | −0.456242 | + | 0.331479i | ||||
\(399\) | 213531. | − | 67421.4i | 0.0671472 | − | 0.0212015i | ||||
\(400\) | −714558. | + | 2.19918e6i | −0.223300 | + | 0.687245i | ||||
\(401\) | 3.16177e6 | − | 4.35180e6i | 0.981904 | − | 1.35148i | 0.0461070 | − | 0.998937i | \(-0.485318\pi\) |
0.935797 | − | 0.352539i | \(-0.114682\pi\) | |||||||
\(402\) | −1.45860e6 | + | 1.97286e6i | −0.450164 | + | 0.608879i | ||||
\(403\) | 537986. | + | 174802.i | 0.165009 | + | 0.0536147i | ||||
\(404\) | −2.38227e6 | − | 7.33187e6i | −0.726168 | − | 2.23492i | ||||
\(405\) | 2.60746e6 | + | 3.85219e6i | 0.789914 | + | 1.16700i | ||||
\(406\) | 6.35301e6i | 1.91278i | ||||||||
\(407\) | 2.98912e6 | − | 1.49034e6i | 0.894453 | − | 0.445963i | ||||
\(408\) | 78874.2 | − | 9.47964e6i | 0.0234576 | − | 2.81930i | ||||
\(409\) | 1.29131e6 | + | 1.77733e6i | 0.381699 | + | 0.525364i | 0.956034 | − | 0.293257i | \(-0.0947391\pi\) |
−0.574334 | + | 0.818621i | \(0.694739\pi\) | |||||||
\(410\) | 9.98082e6 | − | 3.24297e6i | 2.93229 | − | 0.952758i | ||||
\(411\) | 718243. | − | 2.14951e6i | 0.209733 | − | 0.627674i | ||||
\(412\) | 1.78150e6 | + | 1.29433e6i | 0.517061 | + | 0.375667i | ||||
\(413\) | −1.80448e6 | − | 1.31103e6i | −0.520567 | − | 0.378214i | ||||
\(414\) | −816369. | − | 280356.i | −0.234092 | − | 0.0803914i | ||||
\(415\) | 2.08551e6 | − | 677624.i | 0.594419 | − | 0.193138i | ||||
\(416\) | 150643. | + | 207342.i | 0.0426790 | + | 0.0587427i | ||||
\(417\) | −1.73304e6 | − | 14419.5i | −0.488055 | − | 0.00406080i | ||||
\(418\) | −386475. | + | 57761.1i | −0.108188 | + | 0.0161694i | ||||
\(419\) | − | 922775.i | − | 0.256780i | −0.991724 | − | 0.128390i | \(-0.959019\pi\) | ||
0.991724 | − | 0.128390i | \(-0.0409809\pi\) | |||||||
\(420\) | −6.20034e6 | − | 8.68509e6i | −1.71511 | − | 2.40243i | ||||
\(421\) | 1.13160e6 | + | 3.48271e6i | 0.311163 | + | 0.957660i | 0.977305 | + | 0.211836i | \(0.0679442\pi\) |
−0.666143 | + | 0.745824i | \(0.732056\pi\) | |||||||
\(422\) | 4.27495e6 | + | 1.38902e6i | 1.16856 | + | 0.379687i | ||||
\(423\) | 1.63603e6 | − | 2.17476e6i | 0.444570 | − | 0.590963i | ||||
\(424\) | 5.67835e6 | − | 7.81558e6i | 1.53394 | − | 2.11128i | ||||
\(425\) | −2.06508e6 | + | 6.35566e6i | −0.554581 | + | 1.70682i | ||||
\(426\) | −1.60074e6 | − | 5.06970e6i | −0.427362 | − | 1.35350i | ||||
\(427\) | 615728. | − | 447353.i | 0.163425 | − | 0.118735i | ||||
\(428\) | −7.20645e6 | −1.90157 | ||||||||
\(429\) | 129305. | + | 917317.i | 0.0339214 | + | 0.240645i | ||||
\(430\) | 371577. | 0.0969120 | ||||||||
\(431\) | −923603. | + | 671037.i | −0.239493 | + | 0.174002i | −0.701057 | − | 0.713105i | \(-0.747288\pi\) |
0.461565 | + | 0.887107i | \(0.347288\pi\) | |||||||
\(432\) | −2.72511e6 | + | 810829.i | −0.702545 | + | 0.209035i | ||||
\(433\) | −950145. | + | 2.92424e6i | −0.243540 | + | 0.749538i | 0.752333 | + | 0.658783i | \(0.228928\pi\) |
−0.995873 | + | 0.0907559i | \(0.971072\pi\) | |||||||
\(434\) | −3.08251e6 | + | 4.24271e6i | −0.785561 | + | 1.08123i | ||||
\(435\) | −4.56943e6 | − | 3.37833e6i | −1.15781 | − | 0.856010i | ||||
\(436\) | −9.72015e6 | − | 3.15827e6i | −2.44882 | − | 0.795670i | ||||
\(437\) | −11485.1 | − | 35347.6i | −0.00287695 | − | 0.00885436i | ||||
\(438\) | 5.87956e6 | − | 4.19745e6i | 1.46440 | − | 1.04544i | ||||
\(439\) | − | 2.92252e6i | − | 0.723763i | −0.932224 | − | 0.361882i | \(-0.882134\pi\) | ||
0.932224 | − | 0.361882i | \(-0.117866\pi\) | |||||||
\(440\) | 3.95478e6 | + | 7.93195e6i | 0.973846 | + | 1.95321i | ||||
\(441\) | 837207. | + | 13932.7i | 0.204992 | + | 0.00341146i | ||||
\(442\) | −1.82140e6 | − | 2.50694e6i | −0.443455 | − | 0.610363i | ||||
\(443\) | −1.58224e6 | + | 514102.i | −0.383057 | + | 0.124463i | −0.494215 | − | 0.869340i | \(-0.664544\pi\) |
0.111157 | + | 0.993803i | \(0.464544\pi\) | |||||||
\(444\) | 7.51382e6 | + | 2.51069e6i | 1.80885 | + | 0.604416i | ||||
\(445\) | 6.50027e6 | + | 4.72272e6i | 1.55608 | + | 1.13056i | ||||
\(446\) | 654288. | + | 475368.i | 0.155751 | + | 0.113160i | ||||
\(447\) | 3.60334e6 | + | 1.20403e6i | 0.852976 | + | 0.285016i | ||||
\(448\) | −5.51055e6 | + | 1.79049e6i | −1.29718 | + | 0.421479i | ||||
\(449\) | 1.44185e6 | + | 1.98454e6i | 0.337524 | + | 0.464562i | 0.943716 | − | 0.330756i | \(-0.107304\pi\) |
−0.606192 | + | 0.795318i | \(0.707304\pi\) | |||||||
\(450\) | 7.22093e6 | + | 120170.i | 1.68098 | + | 0.0279747i | ||||
\(451\) | 2.55893e6 | − | 4.91572e6i | 0.592403 | − | 1.13801i | ||||
\(452\) | 6.08584e6i | 1.40112i | ||||||||
\(453\) | −1.32428e6 | + | 945415.i | −0.303205 | + | 0.216460i | ||||
\(454\) | −1.84153e6 | − | 5.66764e6i | −0.419313 | − | 1.29051i | ||||
\(455\) | −1.57890e6 | − | 513015.i | −0.357541 | − | 0.116172i | ||||
\(456\) | −354710. | − | 262249.i | −0.0798843 | − | 0.0590611i | ||||
\(457\) | −1.44695e6 | + | 1.99156e6i | −0.324089 | + | 0.446070i | −0.939710 | − | 0.341972i | \(-0.888905\pi\) |
0.615621 | + | 0.788042i | \(0.288905\pi\) | |||||||
\(458\) | −4.34582e6 | + | 1.33750e7i | −0.968072 | + | 2.97942i | ||||
\(459\) | −7.87558e6 | + | 2.34330e6i | −1.74482 | + | 0.519155i | ||||
\(460\) | −1.43294e6 | + | 1.04110e6i | −0.315744 | + | 0.229401i | ||||
\(461\) | −4.65798e6 | −1.02081 | −0.510406 | − | 0.859934i | \(-0.670505\pi\) | ||||
−0.510406 | + | 0.859934i | \(0.670505\pi\) | |||||||
\(462\) | −8.45855e6 | − | 1.48788e6i | −1.84370 | − | 0.324313i | ||||
\(463\) | 310945. | 0.0674110 | 0.0337055 | − | 0.999432i | \(-0.489269\pi\) | ||||
0.0337055 | + | 0.999432i | \(0.489269\pi\) | |||||||
\(464\) | 2.80998e6 | − | 2.04157e6i | 0.605910 | − | 0.440220i | ||||
\(465\) | −1.41241e6 | − | 4.47324e6i | −0.302920 | − | 0.959379i | ||||
\(466\) | −599880. | + | 1.84624e6i | −0.127967 | + | 0.393843i | ||||
\(467\) | 2.73642e6 | − | 3.76636e6i | 0.580619 | − | 0.799153i | −0.413144 | − | 0.910666i | \(-0.635570\pi\) |
0.993763 | + | 0.111513i | \(0.0355695\pi\) | |||||||
\(468\) | −1.32092e6 | + | 1.75589e6i | −0.278781 | + | 0.370581i | ||||
\(469\) | −2.20824e6 | − | 717501.i | −0.463569 | − | 0.150623i | ||||
\(470\) | −2.63001e6 | − | 8.09433e6i | −0.549177 | − | 1.69019i | ||||
\(471\) | 726014. | + | 1.01696e6i | 0.150797 | + | 0.211228i | ||||
\(472\) | 4.39402e6i | 0.907836i | ||||||||
\(473\) | 139954. | − | 137534.i | 0.0287629 | − | 0.0282655i | ||||
\(474\) | −6.90022e6 | − | 57412.4i | −1.41064 | − | 0.0117371i | ||||
\(475\) | 182781. | + | 251576.i | 0.0371704 | + | 0.0511606i | ||||
\(476\) | 1.79272e7 | − | 5.82490e6i | 3.62656 | − | 1.17834i | ||||
\(477\) | −7.91938e6 | − | 2.71966e6i | −1.59366 | − | 0.547292i | ||||
\(478\) | −2.24767e6 | − | 1.63302e6i | −0.449948 | − | 0.326906i | ||||
\(479\) | 6.88666e6 | + | 5.00345e6i | 1.37142 | + | 0.996394i | 0.997625 | + | 0.0688818i | \(0.0219431\pi\) |
0.373794 | + | 0.927512i | \(0.378057\pi\) | |||||||
\(480\) | 673554. | − | 2.01576e6i | 0.133435 | − | 0.399334i | ||||
\(481\) | 1.17215e6 | − | 380856.i | 0.231005 | − | 0.0750582i | ||||
\(482\) | −4.59700e6 | − | 6.32723e6i | −0.901274 | − | 1.24050i | ||||
\(483\) | 6796.36 | − | 816833.i | 0.00132559 | − | 0.159318i | ||||
\(484\) | 9.29834e6 | + | 3.20157e6i | 1.80423 | + | 0.621226i | ||||
\(485\) | − | 9.22179e6i | − | 1.78017i | ||||||
\(486\) | 4.91611e6 | + | 7.39474e6i | 0.944128 | + | 1.42014i | ||||
\(487\) | −1.58932e6 | − | 4.89141e6i | −0.303660 | − | 0.934570i | −0.980174 | − | 0.198140i | \(-0.936510\pi\) |
0.676514 | − | 0.736430i | \(-0.263490\pi\) | |||||||
\(488\) | −1.42595e6 | − | 463320.i | −0.271054 | − | 0.0880708i | ||||
\(489\) | −4.92497e6 | + | 6.66138e6i | −0.931390 | + | 1.25977i | ||||
\(490\) | 1.53918e6 | − | 2.11850e6i | 0.289601 | − | 0.398601i | ||||
\(491\) | 1.50489e6 | − | 4.63159e6i | 0.281710 | − | 0.867014i | −0.705655 | − | 0.708555i | \(-0.749347\pi\) |
0.987366 | − | 0.158459i | \(-0.0506527\pi\) | |||||||
\(492\) | 1.25347e7 | − | 3.95777e6i | 2.33453 | − | 0.737119i | ||||
\(493\) | 8.12087e6 | − | 5.90016e6i | 1.50482 | − | 1.09332i | ||||
\(494\) | −144193. | −0.0265844 | ||||||||
\(495\) | 5.56815e6 | − | 5.29264e6i | 1.02141 | − | 0.970866i | ||||
\(496\) | 2.86716e6 | 0.523296 | ||||||||
\(497\) | 4.07033e6 | − | 2.95727e6i | 0.739160 | − | 0.537031i | ||||
\(498\) | 3.99173e6 | − | 1.26037e6i | 0.721253 | − | 0.227733i | ||||
\(499\) | 632176. | − | 1.94564e6i | 0.113654 | − | 0.349792i | −0.878010 | − | 0.478643i | \(-0.841129\pi\) |
0.991664 | + | 0.128851i | \(0.0411288\pi\) | |||||||
\(500\) | −125019. | + | 172074.i | −0.0223640 | + | 0.0307815i | ||||
\(501\) | −2.78533e6 | + | 3.76736e6i | −0.495772 | + | 0.670568i | ||||
\(502\) | −1.28633e7 | − | 4.17953e6i | −2.27820 | − | 0.740233i | ||||
\(503\) | 1.03222e6 | + | 3.17686e6i | 0.181909 | + | 0.559858i | 0.999881 | − | 0.0153990i | \(-0.00490186\pi\) |
−0.817972 | + | 0.575257i | \(0.804902\pi\) | |||||||
\(504\) | −5.56742e6 | − | 7.93735e6i | −0.976287 | − | 1.39187i | ||||
\(505\) | 9.94572e6i | 1.73543i | ||||||||
\(506\) | −235270. | + | 1.40596e6i | −0.0408499 | + | 0.244117i | ||||
\(507\) | 45311.6 | − | 5.44586e6i | 0.00782870 | − | 0.940907i | ||||
\(508\) | −3.88278e6 | − | 5.34418e6i | −0.667549 | − | 0.918803i | ||||
\(509\) | −9.55129e6 | + | 3.10340e6i | −1.63406 | + | 0.530938i | −0.975199 | − | 0.221329i | \(-0.928960\pi\) |
−0.658859 | + | 0.752267i | \(0.728960\pi\) | |||||||
\(510\) | −8.14384e6 | + | 2.43723e7i | −1.38645 | + | 4.14926i | ||||
\(511\) | 5.53089e6 | + | 4.01843e6i | 0.937007 | + | 0.680776i | ||||
\(512\) | 6.49861e6 | + | 4.72152e6i | 1.09558 | + | 0.795989i | ||||
\(513\) | −127191. | + | 360574.i | −0.0213385 | + | 0.0604924i | ||||
\(514\) | 648315. | − | 210650.i | 0.108238 | − | 0.0351685i | ||||
\(515\) | −1.66984e6 | − | 2.29833e6i | −0.277432 | − | 0.381852i | ||||
\(516\) | 465396. | + | 3872.27i | 0.0769482 | + | 0.000640238i | ||||
\(517\) | −3.98660e6 | − | 2.07527e6i | −0.655958 | − | 0.341466i | ||||
\(518\) | 1.14261e7i | 1.87101i | ||||||||
\(519\) | 2.65848e6 | + | 3.72384e6i | 0.433226 | + | 0.606839i | ||||
\(520\) | 1.01064e6 | + | 3.11044e6i | 0.163904 | + | 0.504444i | ||||
\(521\) | −2.09883e6 | − | 681951.i | −0.338753 | − | 0.110067i | 0.134701 | − | 0.990886i | \(-0.456993\pi\) |
−0.473453 | + | 0.880819i | \(0.656993\pi\) | |||||||
\(522\) | −8.66878e6 | − | 6.52135e6i | −1.39246 | − | 1.04752i | ||||
\(523\) | −5.02488e6 | + | 6.91615e6i | −0.803288 | + | 1.10563i | 0.189036 | + | 0.981970i | \(0.439464\pi\) |
−0.992325 | + | 0.123661i | \(0.960536\pi\) | |||||||
\(524\) | 3.59599e6 | − | 1.10673e7i | 0.572124 | − | 1.76082i | ||||
\(525\) | 2.05782e6 | + | 6.51734e6i | 0.325844 | + | 1.03198i | ||||
\(526\) | −6.97636e6 | + | 5.06863e6i | −1.09942 | + | 0.798778i | ||||
\(527\) | 8.28611e6 | 1.29964 | ||||||||
\(528\) | 2.06009e6 | + | 4.21941e6i | 0.321590 | + | 0.658669i | ||||
\(529\) | 6.30076e6 | 0.978935 | ||||||||
\(530\) | −2.11853e7 | + | 1.53920e7i | −3.27601 | + | 2.38016i | ||||
\(531\) | 3.64122e6 | − | 1.11647e6i | 0.560416 | − | 0.171835i | ||||
\(532\) | 271048. | − | 834200.i | 0.0415209 | − | 0.127788i | ||||
\(533\) | 1.20199e6 | − | 1.65440e6i | 0.183267 | − | 0.252245i | ||||
\(534\) | 1.23331e7 | + | 9.11829e6i | 1.87163 | + | 1.38376i | ||||
\(535\) | 8.84211e6 | + | 2.87298e6i | 1.33558 | + | 0.433958i | ||||
\(536\) | 1.41348e6 | + | 4.35025e6i | 0.212509 | + | 0.654037i | ||||
\(537\) | −315620. | + | 225323.i | −0.0472312 | + | 0.0337187i | ||||
\(538\) | − | 3.80655e6i | − | 0.566991i | ||||||
\(539\) | −204402. | − | 1.36764e6i | −0.0303049 | − | 0.202768i | ||||
\(540\) | 1.82156e7 | + | 454765.i | 2.68818 | + | 0.0671124i | ||||
\(541\) | −5.07549e6 | − | 6.98581e6i | −0.745563 | − | 1.02618i | −0.998279 | − | 0.0586393i | \(-0.981324\pi\) |
0.252716 | − | 0.967541i | \(-0.418676\pi\) | |||||||
\(542\) | −1.06357e7 | + | 3.45575e6i | −1.55514 | + | 0.505294i | ||||
\(543\) | −5.16692e6 | − | 1.72649e6i | −0.752025 | − | 0.251284i | ||||
\(544\) | 3.03720e6 | + | 2.20665e6i | 0.440024 | + | 0.319696i | ||||
\(545\) | 1.06672e7 | + | 7.75021e6i | 1.53837 | + | 1.11769i | ||||
\(546\) | −3.00576e6 | − | 1.00435e6i | −0.431492 | − | 0.144180i | ||||
\(547\) | 4.96333e6 | − | 1.61269e6i | 0.709260 | − | 0.230452i | 0.0678993 | − | 0.997692i | \(-0.478370\pi\) |
0.641360 | + | 0.767240i | \(0.278370\pi\) | |||||||
\(548\) | −5.21806e6 | − | 7.18204e6i | −0.742263 | − | 1.02164i | ||||
\(549\) | −21624.1 | + | 1.29938e6i | −0.00306202 | + | 0.183994i | ||||
\(550\) | −1.76297e6 | − | 1.17959e7i | −0.248507 | − | 1.66274i | ||||
\(551\) | − | 467092.i | − | 0.0655426i | ||||||
\(552\) | −1.30971e6 | + | 935013.i | −0.182948 | + | 0.130608i | ||||
\(553\) | −2.01796e6 | − | 6.21065e6i | −0.280608 | − | 0.863624i | ||||
\(554\) | 7.42670e6 | + | 2.41308e6i | 1.02807 | + | 0.334039i | ||||
\(555\) | −8.21831e6 | − | 6.07606e6i | −1.13253 | − | 0.837316i | ||||
\(556\) | −3.99034e6 | + | 5.49223e6i | −0.547422 | + | 0.753462i | ||||
\(557\) | −121684. | + | 374506.i | −0.0166187 | + | 0.0511471i | −0.959022 | − | 0.283332i | \(-0.908560\pi\) |
0.942403 | + | 0.334479i | \(0.108560\pi\) | |||||||
\(558\) | −2.62505e6 | − | 8.56126e6i | −0.356905 | − | 1.16400i | ||||
\(559\) | 58577.3 | − | 42558.9i | 0.00792866 | − | 0.00576051i | ||||
\(560\) | −8.41463e6 | −1.13387 | ||||||||
\(561\) | 5.95369e6 | + | 1.21941e7i | 0.798692 | + | 1.63585i | ||||
\(562\) | 1.48655e7 | 1.98536 | ||||||||
\(563\) | −4.99944e6 | + | 3.63230e6i | −0.664737 | + | 0.482960i | −0.868259 | − | 0.496110i | \(-0.834761\pi\) |
0.203522 | + | 0.979070i | \(0.434761\pi\) | |||||||
\(564\) | −3.20971e6 | − | 1.01655e7i | −0.424881 | − | 1.34564i | ||||
\(565\) | 2.42622e6 | − | 7.46714e6i | 0.319749 | − | 0.984087i | ||||
\(566\) | 5.70979e6 | − | 7.85885e6i | 0.749167 | − | 1.03114i | ||||
\(567\) | −5.16287e6 | + | 6.63037e6i | −0.674425 | + | 0.866124i | ||||
\(568\) | −9.42640e6 | − | 3.06282e6i | −1.22596 | − | 0.398338i | ||||
\(569\) | −2.39032e6 | − | 7.35665e6i | −0.309511 | − | 0.952576i | −0.977955 | − | 0.208814i | \(-0.933040\pi\) |
0.668445 | − | 0.743762i | \(-0.266960\pi\) | |||||||
\(570\) | 694768. | + | 973192.i | 0.0895680 | + | 0.125462i | ||||
\(571\) | − | 1.63998e6i | − | 0.210498i | −0.994446 | − | 0.105249i | \(-0.966436\pi\) | ||
0.994446 | − | 0.105249i | \(-0.0335640\pi\) | |||||||
\(572\) | 3.21876e6 | + | 1.67556e6i | 0.411338 | + | 0.214127i | ||||
\(573\) | −8.74179e6 | − | 72735.0i | −1.11228 | − | 0.00925459i | ||||
\(574\) | 1.11435e7 | + | 1.53378e7i | 1.41170 | + | 1.94304i | ||||
\(575\) | 1.07887e6 | − | 350547.i | 0.136082 | − | 0.0442157i | ||||
\(576\) | 3.21342e6 | − | 9.35716e6i | 0.403563 | − | 1.17514i | ||||
\(577\) | 7.14471e6 | + | 5.19093e6i | 0.893398 | + | 0.649091i | 0.936762 | − | 0.349968i | \(-0.113808\pi\) |
−0.0433639 | + | 0.999059i | \(0.513808\pi\) | |||||||
\(578\) | −2.56411e7 | − | 1.86294e7i | −3.19240 | − | 2.31942i | ||||
\(579\) | 2.23914e6 | − | 6.70112e6i | 0.277577 | − | 0.830714i | ||||
\(580\) | −2.11703e7 | + | 6.87864e6i | −2.61310 | + | 0.849049i | ||||
\(581\) | 2.32846e6 | + | 3.20485e6i | 0.286173 | + | 0.393883i | ||||
\(582\) | 146465. | − | 1.76032e7i | 0.0179236 | − | 2.15419i | ||||
\(583\) | −2.28229e6 | + | 1.36389e7i | −0.278099 | + | 1.66191i | ||||
\(584\) | − | 1.34681e7i | − | 1.63408i | ||||||
\(585\) | 2.32075e6 | − | 1.62782e6i | 0.280375 | − | 0.196660i | ||||
\(586\) | −1.57767e6 | − | 4.85558e6i | −0.189790 | − | 0.584114i | ||||
\(587\) | 1.36729e7 | + | 4.44260e6i | 1.63782 | + | 0.532160i | 0.976050 | − | 0.217547i | \(-0.0698055\pi\) |
0.661770 | + | 0.749707i | \(0.269806\pi\) | |||||||
\(588\) | 1.94989e6 | − | 2.63736e6i | 0.232577 | − | 0.314577i | ||||
\(589\) | 226635. | − | 311936.i | 0.0269178 | − | 0.0370491i | ||||
\(590\) | 3.68060e6 | − | 1.13277e7i | 0.435300 | − | 1.33972i | ||||
\(591\) | 2.99752e6 | − | 946455.i | 0.353015 | − | 0.111463i | ||||
\(592\) | 5.05386e6 | − | 3.67185e6i | 0.592679 | − | 0.430606i | ||||
\(593\) | 7.18599e6 | 0.839170 | 0.419585 | − | 0.907716i | \(-0.362176\pi\) | ||||
0.419585 | + | 0.907716i | \(0.362176\pi\) | |||||||
\(594\) | 1.07129e7 | − | 1.00145e7i | 1.24578 | − | 1.16457i | ||||
\(595\) | −2.43183e7 | −2.81606 | ||||||||
\(596\) | 1.20397e7 | − | 8.74733e6i | 1.38835 | − | 1.00870i | ||||
\(597\) | 2.74616e6 | − | 867089.i | 0.315348 | − | 0.0995699i | ||||
\(598\) | −162547. | + | 500268.i | −0.0185877 | + | 0.0572070i | ||||
\(599\) | −9.58200e6 | + | 1.31885e7i | −1.09116 | + | 1.50185i | −0.244554 | + | 0.969636i | \(0.578642\pi\) |
−0.846607 | + | 0.532219i | \(0.821358\pi\) | |||||||
\(600\) | 8.00430e6 | − | 1.08264e7i | 0.907706 | − | 1.22774i | ||||
\(601\) | −3.46423e6 | − | 1.12560e6i | −0.391220 | − | 0.127115i | 0.106800 | − | 0.994280i | \(-0.465939\pi\) |
−0.498020 | + | 0.867166i | \(0.665939\pi\) | |||||||
\(602\) | 207432. | + | 638409.i | 0.0233283 | + | 0.0717972i | ||||
\(603\) | 3.24580e6 | − | 2.27666e6i | 0.363520 | − | 0.254980i | ||||
\(604\) | 6.37365e6i | 0.710880i | ||||||||
\(605\) | −1.01324e7 | − | 7.63518e6i | −1.12545 | − | 0.848068i | ||||
\(606\) | −157963. | + | 1.89851e7i | −0.0174732 | + | 2.10005i | ||||
\(607\) | 5.92564e6 | + | 8.15595e6i | 0.652775 | + | 0.898468i | 0.999215 | − | 0.0396038i | \(-0.0126096\pi\) |
−0.346440 | + | 0.938072i | \(0.612610\pi\) | |||||||
\(608\) | 166142. | − | 53982.8i | 0.0182272 | − | 0.00592239i | ||||
\(609\) | 3.25346e6 | − | 9.73672e6i | 0.355469 | − | 1.06382i | ||||
\(610\) | 3.28799e6 | + | 2.38887e6i | 0.357772 | + | 0.259937i | ||||
\(611\) | −1.34170e6 | − | 974801.i | −0.145396 | − | 0.105636i | ||||
\(612\) | −1.04541e7 | + | 3.04412e7i | −1.12825 | + | 3.28536i | ||||
\(613\) | 5437.53 | − | 1766.76i | 0.000584455 | − | 0.000189901i | −0.308725 | − | 0.951151i | \(-0.599902\pi\) |
0.309309 | + | 0.950962i | \(0.399902\pi\) | |||||||
\(614\) | 1.06687e7 | + | 1.46843e7i | 1.14207 | + | 1.57192i | ||||
\(615\) | −1.69575e7 | − | 141093.i | −1.80790 | − | 0.0150424i | ||||
\(616\) | −1.14202e7 | + | 1.12227e7i | −1.21261 | + | 1.19164i | ||||
\(617\) | − | 1.27930e7i | − | 1.35288i | −0.736499 | − | 0.676439i | \(-0.763522\pi\) | ||
0.736499 | − | 0.676439i | \(-0.236478\pi\) | |||||||
\(618\) | −3.15099e6 | − | 4.41373e6i | −0.331876 | − | 0.464874i | ||||
\(619\) | −2.21867e6 | − | 6.82835e6i | −0.232737 | − | 0.716291i | −0.997414 | − | 0.0718763i | \(-0.977101\pi\) |
0.764677 | − | 0.644414i | \(-0.222899\pi\) | |||||||
\(620\) | −1.74756e7 | − | 5.67817e6i | −1.82580 | − | 0.593238i | ||||
\(621\) | 1.10761e6 | + | 847752.i | 0.115254 | + | 0.0882144i | ||||
\(622\) | 1.63074e7 | − | 2.24452e7i | 1.69008 | − | 2.32620i | ||||
\(623\) | −4.48539e6 | + | 1.38046e7i | −0.462999 | + | 1.42496i | ||||
\(624\) | 521682. | + | 1.65222e6i | 0.0536345 | + | 0.169866i | ||||
\(625\) | 8.01076e6 | − | 5.82016e6i | 0.820302 | − | 0.595984i | ||||
\(626\) | 1.18327e7 | 1.20684 | ||||||||
\(627\) | 621898. | + | 109394.i | 0.0631757 | + | 0.0111128i | ||||
\(628\) | 4.89453e6 | 0.495235 | ||||||||
\(629\) | 1.46057e7 | − | 1.06117e7i | 1.47196 | − | 1.06944i | ||||
\(630\) | 7.70409e6 | + | 2.51259e7i | 0.773339 | + | 2.52214i | ||||
\(631\) | −1.51725e6 | + | 4.66961e6i | −0.151699 | + | 0.466882i | −0.997812 | − | 0.0661226i | \(-0.978937\pi\) |
0.846112 | + | 0.533005i | \(0.178937\pi\) | |||||||
\(632\) | −7.56167e6 | + | 1.04077e7i | −0.753052 | + | 1.03649i | ||||
\(633\) | −5.84052e6 | − | 4.31808e6i | −0.579351 | − | 0.428333i | ||||
\(634\) | 2.93781e7 | + | 9.54553e6i | 2.90269 | + | 0.943142i | ||||
\(635\) | 2.63351e6 | + | 8.10510e6i | 0.259179 | + | 0.797671i | ||||
\(636\) | −2.66948e7 | + | 1.90576e7i | −2.61688 | + | 1.86821i | ||||
\(637\) | − | 510263.i | − | 0.0498248i | ||||||
\(638\) | −8.27219e6 | + | 1.58909e7i | −0.804579 | + | 1.54560i | ||||
\(639\) | −142948. | + | 8.58966e6i | −0.0138493 | + | 0.832192i | ||||
\(640\) | −1.56221e7 | − | 2.15020e7i | −1.50761 | − | 2.07505i | ||||
\(641\) | 1.79109e6 | − | 581960.i | 0.172176 | − | 0.0559433i | −0.221660 | − | 0.975124i | \(-0.571148\pi\) |
0.393836 | + | 0.919181i | \(0.371148\pi\) | |||||||
\(642\) | 1.68328e7 | + | 5.62456e6i | 1.61183 | + | 0.538581i | ||||
\(643\) | −4.08027e6 | − | 2.96449e6i | −0.389190 | − | 0.282763i | 0.375934 | − | 0.926647i | \(-0.377322\pi\) |
−0.765123 | + | 0.643884i | \(0.777322\pi\) | |||||||
\(644\) | −2.58865e6 | − | 1.88076e6i | −0.245957 | − | 0.178698i | ||||
\(645\) | −569484. | − | 190289.i | −0.0538992 | − | 0.0180101i | ||||
\(646\) | −2.00880e6 | + | 652699.i | −0.189389 | + | 0.0615363i | ||||
\(647\) | −6.04276e6 | − | 8.31714e6i | −0.567511 | − | 0.781112i | 0.424746 | − | 0.905313i | \(-0.360363\pi\) |
−0.992257 | + | 0.124200i | \(0.960363\pi\) | |||||||
\(648\) | 1.65456e7 | + | 550853.i | 1.54791 | + | 0.0515345i | ||||
\(649\) | −2.80650e6 | − | 5.62891e6i | −0.261550 | − | 0.524581i | ||||
\(650\) | − | 4.40103e6i | − | 0.408574i | ||||||
\(651\) | 6.89704e6 | − | 4.92384e6i | 0.637838 | − | 0.455357i | ||||
\(652\) | 1.00278e7 | + | 3.08623e7i | 0.923815 | + | 2.84321i | ||||
\(653\) | −774635. | − | 251694.i | −0.0710909 | − | 0.0230988i | 0.273256 | − | 0.961941i | \(-0.411900\pi\) |
−0.344347 | + | 0.938843i | \(0.611900\pi\) | |||||||
\(654\) | 2.02393e7 | + | 1.49635e7i | 1.85034 | + | 1.36801i | ||||
\(655\) | −8.82435e6 | + | 1.21457e7i | −0.803673 | + | 1.10616i | ||||
\(656\) | 3.20297e6 | − | 9.85772e6i | 0.290598 | − | 0.894369i | ||||
\(657\) | −1.11607e7 | + | 3.42208e6i | −1.00873 | + | 0.309298i | ||||
\(658\) | 1.24387e7 | − | 9.03727e6i | 1.11998 | − | 0.813716i | ||||
\(659\) | −1.79389e7 | −1.60910 | −0.804550 | − | 0.593885i | \(-0.797593\pi\) | ||||
−0.804550 | + | 0.593885i | \(0.797593\pi\) | |||||||
\(660\) | −4.20028e6 | − | 2.97976e7i | −0.375334 | − | 2.66269i | ||||
\(661\) | −8.13223e6 | −0.723945 | −0.361973 | − | 0.932189i | \(-0.617897\pi\) | ||||
−0.361973 | + | 0.932189i | \(0.617897\pi\) | |||||||
\(662\) | 251258. | − | 182550.i | 0.0222831 | − | 0.0161896i | ||||
\(663\) | 1.50767e6 | + | 4.77494e6i | 0.133205 | + | 0.421875i | ||||
\(664\) | 2.41157e6 | − | 7.42206e6i | 0.212266 | − | 0.653287i | ||||
\(665\) | −665136. | + | 915481.i | −0.0583252 | + | 0.0802778i | ||||
\(666\) | −1.55912e7 | − | 1.17289e7i | −1.36205 | − | 1.02464i | ||||
\(667\) | −1.62054e6 | − | 526547.i | −0.141041 | − | 0.0458271i | ||||
\(668\) | 5.67123e6 | + | 1.74543e7i | 0.491741 | + | 1.51342i | ||||
\(669\) | −759328. | − | 1.06362e6i | −0.0655940 | − | 0.0918804i | ||||
\(670\) | − | 1.23989e7i | − | 1.06708i | ||||||
\(671\) | 2.12263e6 | − | 317239.i | 0.181998 | − | 0.0272007i | ||||
\(672\) | 3.83930e6 | + | 31944.5i | 0.327966 | + | 0.00272880i | ||||
\(673\) | 4.88424e6 | + | 6.72258e6i | 0.415680 | + | 0.572135i | 0.964592 | − | 0.263745i | \(-0.0849579\pi\) |
−0.548912 | + | 0.835880i | \(0.684958\pi\) | |||||||
\(674\) | 5.26029e6 | − | 1.70917e6i | 0.446026 | − | 0.144923i | ||||
\(675\) | −1.10054e7 | − | 3.88211e6i | −0.929704 | − | 0.327950i | ||||
\(676\) | −1.72586e7 | − | 1.25391e7i | −1.45258 | − | 1.05536i | ||||
\(677\) | −1.05292e7 | − | 7.64994e6i | −0.882928 | − | 0.641485i | 0.0510967 | − | 0.998694i | \(-0.483728\pi\) |
−0.934024 | + | 0.357209i | \(0.883728\pi\) | |||||||
\(678\) | 4.74993e6 | − | 1.42153e7i | 0.396838 | − | 1.18763i | ||||
\(679\) | 1.58440e7 | − | 5.14803e6i | 1.31884 | − | 0.428516i | ||||
\(680\) | 2.81592e7 | + | 3.87578e7i | 2.33533 | + | 3.21431i | ||||
\(681\) | −80120.1 | + | 9.62938e6i | −0.00662024 | + | 0.795665i | ||||
\(682\) | −1.32347e7 | + | 6.59868e6i | −1.08957 | + | 0.543245i | ||||
\(683\) | 3.49835e6i | 0.286953i | 0.989654 | + | 0.143477i | \(0.0458282\pi\) | ||||
−0.989654 | + | 0.143477i | \(0.954172\pi\) | |||||||
\(684\) | 860048. | + | 1.22615e6i | 0.0702882 | + | 0.100209i | ||||
\(685\) | 3.53916e6 | + | 1.08924e7i | 0.288187 | + | 0.886948i | ||||
\(686\) | −1.74454e7 | − | 5.66835e6i | −1.41537 | − | 0.459882i | ||||
\(687\) | 1.35100e7 | − | 1.82732e7i | 1.09210 | − | 1.47715i | ||||
\(688\) | 215713. | − | 296904.i | 0.0173743 | − | 0.0239136i | ||||
\(689\) | −1.57682e6 | + | 4.85296e6i | −0.126542 | + | 0.389456i | ||||
\(690\) | 4.15963e6 | − | 1.31338e6i | 0.332607 | − | 0.105019i | ||||
\(691\) | −1.51767e7 | + | 1.10265e7i | −1.20915 | + | 0.878500i | −0.995154 | − | 0.0983336i | \(-0.968649\pi\) |
−0.213999 | + | 0.976834i | \(0.568649\pi\) | |||||||
\(692\) | 1.79225e7 | 1.42277 | ||||||||
\(693\) | 1.22017e7 | + | 6.61208e6i | 0.965136 | + | 0.523004i | ||||
\(694\) | −2.72603e7 | −2.14848 | ||||||||
\(695\) | 7.08559e6 | − | 5.14799e6i | 0.556435 | − | 0.404274i | ||||
\(696\) | −1.92854e7 | + | 6.08928e6i | −1.50906 | + | 0.476478i | ||||
\(697\) | 9.25660e6 | − | 2.84889e7i | 0.721722 | − | 2.22123i | ||||
\(698\) | 1.35126e7 | − | 1.85985e7i | 1.04978 | − | 1.44490i | ||||
\(699\) | 1.86487e6 | − | 2.52237e6i | 0.144363 | − | 0.195261i | ||||
\(700\) | 2.54613e7 | + | 8.27287e6i | 1.96397 | + | 0.638133i | ||||
\(701\) | −4.17606e6 | − | 1.28526e7i | −0.320976 | − | 0.987861i | −0.973225 | − | 0.229856i | \(-0.926174\pi\) |
0.652249 | − | 0.758005i | \(-0.273826\pi\) | |||||||
\(702\) | 4.45586e6 | − | 3.07044e6i | 0.341263 | − | 0.235157i | ||||
\(703\) | − | 840084.i | − | 0.0641113i | ||||||
\(704\) | −1.61150e7 | − | 2.69665e6i | −1.22546 | − | 0.205066i | ||||
\(705\) | −114425. | + | 1.37523e7i | −0.00867056 | + | 1.04209i | ||||
\(706\) | 6.84336e6 | + | 9.41908e6i | 0.516723 | + | 0.711208i | ||||
\(707\) | −1.70878e7 | + | 5.55217e6i | −1.28570 | + | 0.417748i | ||||
\(708\) | 4.72796e6 | − | 1.41495e7i | 0.354479 | − | 1.06086i | ||||
\(709\) | −1.63382e7 | − | 1.18704e7i | −1.22064 | − | 0.886848i | −0.224489 | − | 0.974477i | \(-0.572071\pi\) |
−0.996153 | + | 0.0876282i | \(0.972071\pi\) | |||||||
\(710\) | 2.17356e7 | + | 1.57918e7i | 1.61818 | + | 1.17567i | ||||
\(711\) | 1.05460e7 | + | 3.62168e6i | 0.782371 | + | 0.268681i | ||||
\(712\) | 2.71952e7 | − | 8.83625e6i | 2.01044 | − | 0.653233i | ||||
\(713\) | −826759. | − | 1.13794e6i | −0.0609053 | − | 0.0838290i | ||||
\(714\) | −4.64205e7 | − | 386236.i | −3.40772 | − | 0.0283535i | ||||
\(715\) | −3.28134e6 | − | 3.33908e6i | −0.240041 | − | 0.244265i | ||||
\(716\) | 1.51905e6i | 0.110736i | ||||||||
\(717\) | 2.60851e6 | + | 3.65385e6i | 0.189494 | + | 0.265432i | ||||
\(718\) | −9.96898e6 | − | 3.06814e7i | −0.721672 | − | 2.22108i | ||||
\(719\) | 2.25478e7 | + | 7.32622e6i | 1.62660 | + | 0.528516i | 0.973487 | − | 0.228742i | \(-0.0734612\pi\) |
0.653116 | + | 0.757257i | \(0.273461\pi\) | |||||||
\(720\) | 8.63760e6 | − | 1.14819e7i | 0.620957 | − | 0.825433i | ||||
\(721\) | 3.01660e6 | − | 4.15200e6i | 0.216112 | − | 0.297453i | ||||
\(722\) | 7.35099e6 | − | 2.26240e7i | 0.524811 | − | 1.61520i | ||||
\(723\) | 3.80517e6 | + | 1.20514e7i | 0.270725 | + | 0.857415i | ||||
\(724\) | −1.72640e7 | + | 1.25430e7i | −1.22404 | + | 0.889316i | ||||
\(725\) | 1.42565e7 | 1.00732 | ||||||||
\(726\) | −1.92202e7 | − | 1.47355e7i | −1.35337 | − | 1.03758i | ||||
\(727\) | 2.48951e7 | 1.74694 | 0.873471 | − | 0.486877i | \(-0.161864\pi\) | ||||
0.873471 | + | 0.486877i | \(0.161864\pi\) | |||||||
\(728\) | −4.77988e6 | + | 3.47279e6i | −0.334263 | + | 0.242856i | ||||
\(729\) | −3.74756e6 | − | 1.38509e7i | −0.261174 | − | 0.965292i | ||||
\(730\) | −1.12814e7 | + | 3.47205e7i | −0.783529 | + | 2.41145i | ||||
\(731\) | 623414. | − | 858056.i | 0.0431502 | − | 0.0593912i | ||||
\(732\) | 4.09328e6 | + | 3.02630e6i | 0.282354 | + | 0.208753i | ||||
\(733\) | 8.39624e6 | + | 2.72810e6i | 0.577198 | + | 0.187543i | 0.583045 | − | 0.812440i | \(-0.301861\pi\) |
−0.00584704 | + | 0.999983i | \(0.501861\pi\) | |||||||
\(734\) | −1.51129e6 | − | 4.65126e6i | −0.103540 | − | 0.318662i | ||||
\(735\) | −3.44388e6 | + | 2.45861e6i | −0.235142 | + | 0.167869i | ||||
\(736\) | − | 637273.i | − | 0.0433641i | ||||||
\(737\) | −4.58927e6 | − | 4.67003e6i | −0.311225 | − | 0.316702i | ||||
\(738\) | −3.23674e7 | − | 538655.i | −2.18760 | − | 0.0364058i | ||||
\(739\) | −1.52259e7 | − | 2.09566e7i | −1.02558 | − | 1.41159i | −0.908214 | − | 0.418506i | \(-0.862554\pi\) |
−0.117370 | − | 0.993088i | \(-0.537446\pi\) | |||||||
\(740\) | −3.80756e7 | + | 1.23715e7i | −2.55604 | + | 0.830507i | ||||
\(741\) | 220992. | + | 73843.1i | 0.0147853 | + | 0.00494043i | ||||
\(742\) | −3.82718e7 | − | 2.78061e7i | −2.55193 | − | 1.85409i | ||||
\(743\) | 945364. | + | 686847.i | 0.0628242 | + | 0.0456444i | 0.618754 | − | 0.785585i | \(-0.287638\pi\) |
−0.555930 | + | 0.831229i | \(0.687638\pi\) | |||||||
\(744\) | −1.58338e7 | − | 5.29077e6i | −1.04871 | − | 0.350418i | ||||
\(745\) | −1.82596e7 | + | 5.93290e6i | −1.20532 | + | 0.391631i | ||||
\(746\) | 7.15693e6 | + | 9.85067e6i | 0.470847 | + | 0.648065i | ||||
\(747\) | −6.76323e6 | − | 112553.i | −0.443458 | − | 0.00737999i | ||||
\(748\) | 5.24262e7 | + | 8.77287e6i | 3.42606 | + | 0.573308i | ||||
\(749\) | 1.67955e7i | 1.09393i | ||||||||
\(750\) | 426320. | − | 304352.i | 0.0276747 | − | 0.0197571i | ||||
\(751\) | 7.50497e6 | + | 2.30979e7i | 0.485567 | + | 1.49442i | 0.831158 | + | 0.556036i | \(0.187678\pi\) |
−0.345591 | + | 0.938385i | \(0.612322\pi\) | |||||||
\(752\) | −7.99449e6 | − | 2.59757e6i | −0.515521 | − | 0.167503i | ||||
\(753\) | 1.75740e7 | + | 1.29931e7i | 1.12949 | + | 0.835072i | ||||
\(754\) | −3.88565e6 | + | 5.34813e6i | −0.248906 | + | 0.342589i | ||||
\(755\) | 2.54097e6 | − | 7.82029e6i | 0.162230 | − | 0.499293i | ||||
\(756\) | 9.38745e6 | + | 3.15502e7i | 0.597370 | + | 2.00769i | ||||
\(757\) | −3.78809e6 | + | 2.75221e6i | −0.240260 | + | 0.174559i | −0.701399 | − | 0.712769i | \(-0.747441\pi\) |
0.461139 | + | 0.887328i | \(0.347441\pi\) | |||||||
\(758\) | 4.62983e7 | 2.92679 | ||||||||
\(759\) | 1.08059e6 | − | 2.03431e6i | 0.0680858 | − | 0.128178i | ||||
\(760\) | 2.22925e6 | 0.139999 | ||||||||
\(761\) | −2.44739e7 | + | 1.77814e7i | −1.53194 | + | 1.11302i | −0.576795 | + | 0.816889i | \(0.695697\pi\) |
−0.955147 | + | 0.296132i | \(0.904303\pi\) | |||||||
\(762\) | 4.89828e6 | + | 1.55134e7i | 0.305602 | + | 0.967874i | ||||
\(763\) | −7.36073e6 | + | 2.26540e7i | −0.457730 | + | 1.40875i | ||||
\(764\) | −2.01280e7 | + | 2.77039e7i | −1.24758 | + | 1.71715i | ||||
\(765\) | 2.49627e7 | − | 3.31828e7i | 1.54219 | − | 2.05002i | ||||
\(766\) | 2.32982e7 | + | 7.57003e6i | 1.43466 | + | 0.466150i | ||||
\(767\) | −717202. | − | 2.20732e6i | −0.0440203 | − | 0.135481i | ||||
\(768\) | −1.76785e7 | − | 2.47630e7i | −1.08154 | − | 1.51496i | ||||
\(769\) | − | 2.00510e7i | − | 1.22270i | −0.791359 | − | 0.611351i | \(-0.790626\pi\) | ||
0.791359 | − | 0.611351i | \(-0.209374\pi\) | |||||||
\(770\) | 3.88417e7 | − | 1.93660e7i | 2.36087 | − | 1.17710i | ||||
\(771\) | −1.10149e6 | − | 9164.84i | −0.0667338 | − | 0.000555251i | ||||
\(772\) | −1.62674e7 | − | 2.23901e7i | −0.982369 | − | 1.35212i | ||||
\(773\) | −1.30721e7 | + | 4.24740e6i | −0.786861 | + | 0.255667i | −0.674767 | − | 0.738031i | \(-0.735756\pi\) |
−0.112094 | + | 0.993698i | \(0.535756\pi\) | |||||||
\(774\) | −1.08405e6 | − | 372282.i | −0.0650423 | − | 0.0223367i | ||||
\(775\) | 9.52086e6 | + | 6.91731e6i | 0.569406 | + | 0.413698i | ||||
\(776\) | −2.65512e7 | − | 1.92906e7i | −1.58281 | − | 1.14998i | ||||
\(777\) | 5.85148e6 | − | 1.75119e7i | 0.347707 | − | 1.04059i | ||||
\(778\) | −1.64004e7 | + | 5.32881e6i | −0.971415 | + | 0.315632i | ||||
\(779\) | −819305. | − | 1.12768e6i | −0.0483729 | − | 0.0665796i | ||||
\(780\) | 92386.2 | − | 1.11036e7i | 0.00543714 | − | 0.653472i | ||||
\(781\) | 1.40318e7 | − | 2.09714e6i | 0.823165 | − | 0.123027i | ||||
\(782\) | 7.70518e6i | 0.450573i | ||||||||
\(783\) | 9.94623e6 | + | 1.44341e7i | 0.579768 | + | 0.841368i | ||||
\(784\) | −799215. | − | 2.45973e6i | −0.0464380 | − | 0.142921i | ||||
\(785\) | −6.00544e6 | − | 1.95129e6i | −0.347833 | − | 0.113018i | ||||
\(786\) | −1.70374e7 | + | 2.30443e7i | −0.983665 | + | 1.33048i | ||||
\(787\) | −1.62503e7 | + | 2.23667e7i | −0.935246 | + | 1.28726i | 0.0225321 | + | 0.999746i | \(0.492827\pi\) |
−0.957778 | + | 0.287509i | \(0.907173\pi\) | |||||||
\(788\) | 3.80494e6 | − | 1.17104e7i | 0.218289 | − | 0.671826i | ||||
\(789\) | 1.32878e7 | − | 4.19556e6i | 0.759906 | − | 0.239937i | ||||
\(790\) | 2.82118e7 | − | 2.04971e7i | 1.60828 | − | 1.16849i | ||||
\(791\) | 1.41838e7 | 0.806030 | ||||||||
\(792\) | −3.59075e6 | − | 2.71031e7i | −0.203410 | − | 1.53535i | ||||
\(793\) | 791947. | 0.0447212 | ||||||||
\(794\) | 3.56536e7 | − | 2.59038e7i | 2.00702 | − | 1.45819i | ||||
\(795\) | 4.03514e7 | − | 1.27408e7i | 2.26434 | − | 0.714954i | ||||
\(796\) | 3.48588e6 | − | 1.07284e7i | 0.194998 | − | 0.600141i | ||||
\(797\) | −6.75559e6 | + | 9.29827e6i | −0.376719 | + | 0.518509i | −0.954712 | − | 0.297533i | \(-0.903836\pi\) |
0.577993 | + | 0.816042i | \(0.303836\pi\) | |||||||
\(798\) | −1.28420e6 | + | 1.73697e6i | −0.0713878 | + | 0.0965572i | ||||
\(799\) | −2.31042e7 | − | 7.50700e6i | −1.28033 | − | 0.416006i | ||||
\(800\) | 1.64765e6 | + | 5.07095e6i | 0.0910208 | + | 0.280133i | ||||
\(801\) | −1.42324e7 | − | 2.02908e7i | −0.783782 | − | 1.11742i | ||||
\(802\) | 5.18916e7i | 2.84880i | ||||||||
\(803\) | 8.60219e6 | + | 1.72531e7i | 0.470782 | + | 0.944231i | ||||
\(804\) | 129211. | − | 1.55295e7i | 0.00704951 | − | 0.847259i | ||||
\(805\) | 2.42640e6 | + | 3.33965e6i | 0.131969 | + | 0.181640i | ||||
\(806\) | −5.18987e6 | + | 1.68629e6i | −0.281397 | + | 0.0914314i | ||||
\(807\) | −1.94938e6 | + | 5.83398e6i | −0.105369 | + | 0.315341i | ||||
\(808\) | 2.86356e7 | + | 2.08050e7i | 1.54304 | + | 1.12108i | ||||
\(809\) | 1.84497e7 | + | 1.34045e7i | 0.991100 | + | 0.720076i | 0.960162 | − | 0.279445i | \(-0.0901505\pi\) |
0.0309382 | + | 0.999521i | \(0.490151\pi\) | |||||||
\(810\) | −4.21929e7 | − | 1.52793e7i | −2.25957 | − | 0.818259i | ||||
\(811\) | 2.01609e7 | − | 6.55068e6i | 1.07636 | − | 0.349731i | 0.283400 | − | 0.959002i | \(-0.408538\pi\) |
0.792962 | + | 0.609271i | \(0.208538\pi\) | |||||||
\(812\) | −2.36365e7 | − | 3.25328e7i | −1.25803 | − | 1.73154i | ||||
\(813\) | 1.80702e7 | + | 150351.i | 0.958817 | + | 0.00797772i | ||||
\(814\) | −1.48779e7 | + | 2.85805e7i | −0.787009 | + | 1.51185i | ||||
\(815\) | − | 4.18649e7i | − | 2.20778i | ||||||
\(816\) | 1.47466e7 | + | 2.06562e7i | 0.775295 | + | 1.08599i | ||||
\(817\) | −15251.0 | − | 46937.7i | −0.000799361 | − | 0.00246018i | ||||
\(818\) | −2.01559e7 | − | 6.54906e6i | −1.05322 | − | 0.342213i | ||||
\(819\) | 4.09232e6 | + | 3.07857e6i | 0.213187 | + | 0.160376i | ||||
\(820\) | −3.90448e7 | + | 5.37405e7i | −2.02782 | + | 2.79105i | ||||
\(821\) | −5.66766e6 | + | 1.74433e7i | −0.293458 | + | 0.903170i | 0.690277 | + | 0.723545i | \(0.257489\pi\) |
−0.983735 | + | 0.179625i | \(0.942511\pi\) | |||||||
\(822\) | 6.58279e6 | + | 2.08484e7i | 0.339806 | + | 1.07620i | ||||
\(823\) | 8.63748e6 | − | 6.27550e6i | 0.444516 | − | 0.322960i | −0.342911 | − | 0.939368i | \(-0.611413\pi\) |
0.787427 | + | 0.616408i | \(0.211413\pi\) | |||||||
\(824\) | −1.01104e7 | −0.518739 | ||||||||
\(825\) | −3.33889e6 | + | 1.89814e7i | −0.170792 | + | 0.970944i | ||||
\(826\) | 2.15169e7 | 1.09731 | ||||||||
\(827\) | −6.87734e6 | + | 4.99668e6i | −0.349669 | + | 0.254049i | −0.748730 | − | 0.662875i | \(-0.769336\pi\) |
0.399061 | + | 0.916924i | \(0.369336\pi\) | |||||||
\(828\) | 5.22358e6 | − | 1.60165e6i | 0.264784 | − | 0.0811881i | ||||
\(829\) | −4.91913e6 | + | 1.51395e7i | −0.248600 | + | 0.765113i | 0.746423 | + | 0.665472i | \(0.231770\pi\) |
−0.995023 | + | 0.0996415i | \(0.968230\pi\) | |||||||
\(830\) | −1.24340e7 | + | 1.71139e7i | −0.626492 | + | 0.862293i | ||||
\(831\) | −1.01465e7 | − | 7.50163e6i | −0.509699 | − | 0.376837i | ||||
\(832\) | −5.73403e6 | − | 1.86310e6i | −0.287178 | − | 0.0933099i | ||||
\(833\) | −2.30974e6 | − | 7.10864e6i | −0.115332 | − | 0.354956i | ||||
\(834\) | 1.36072e7 | − | 9.71429e6i | 0.677414 | − | 0.483611i | ||||
\(835\) | − | 2.36768e7i | − | 1.17519i | ||||||
\(836\) | 1.76418e6 | − | 1.73367e6i | 0.0873027 | − | 0.0857929i | ||||
\(837\) | −361140. | + | 1.44654e7i | −0.0178181 | + | 0.713704i | ||||
\(838\) | 5.23239e6 | + | 7.20177e6i | 0.257389 | + | 0.354266i | ||||
\(839\) | −3.00124e7 | + | 9.75162e6i | −1.47196 | + | 0.478269i | −0.931700 | − | 0.363230i | \(-0.881674\pi\) |
−0.540260 | + | 0.841498i | \(0.681674\pi\) | |||||||
\(840\) | 4.64696e7 | + | 1.55275e7i | 2.27233 | + | 0.759284i | ||||
\(841\) | −730628. | − | 530832.i | −0.0356210 | − | 0.0258802i | ||||
\(842\) | −2.85795e7 | − | 2.07642e7i | −1.38923 | − | 1.00933i | ||||
\(843\) | −2.27831e7 | − | 7.61281e6i | −1.10419 | − | 0.368957i | ||||
\(844\) | −2.70592e7 | + | 8.79208e6i | −1.30755 | + | 0.424850i | ||||
\(845\) | 1.61769e7 | + | 2.22656e7i | 0.779388 | + | 1.07274i | ||||
\(846\) | −436843. | + | 2.62496e7i | −0.0209846 | + | 1.26095i | ||||
\(847\) | 7.46165e6 | − | 2.16709e7i | 0.357377 | − | 1.03793i | ||||
\(848\) | 2.58635e7i | 1.23509i | ||||||||
\(849\) | −1.27755e7 | + | 9.12052e6i | −0.608288 | + | 0.434261i | ||||
\(850\) | −1.99215e7 | − | 6.13122e7i | −0.945748 | − | 2.91071i | ||||
\(851\) | −2.91461e6 | − | 947015.i | −0.137961 | − | 0.0448263i | ||||
\(852\) | 2.70590e7 | + | 2.00056e7i | 1.27707 | + | 0.944176i | ||||
\(853\) | 2.14670e7 | − | 2.95467e7i | 1.01018 | − | 1.39039i | 0.0913123 | − | 0.995822i | \(-0.470894\pi\) |
0.918866 | − | 0.394569i | \(-0.129106\pi\) | |||||||
\(854\) | −2.26882e6 | + | 6.98270e6i | −0.106452 | + | 0.327626i | ||||
\(855\) | −566427. | − | 1.84733e6i | −0.0264990 | − | 0.0864229i | ||||
\(856\) | 2.67682e7 | − | 1.94482e7i | 1.24863 | − | 0.907184i | ||||
\(857\) | −726076. | −0.0337699 | −0.0168850 | − | 0.999857i | \(-0.505375\pi\) | ||||
−0.0168850 | + | 0.999857i | \(0.505375\pi\) | |||||||
\(858\) | −6.21061e6 | − | 6.42598e6i | −0.288016 | − | 0.298003i | ||||
\(859\) | 2.75623e7 | 1.27448 | 0.637239 | − | 0.770666i | \(-0.280076\pi\) | ||||
0.637239 | + | 0.770666i | \(0.280076\pi\) | |||||||
\(860\) | −1.90279e6 | + | 1.38246e6i | −0.0877293 | + | 0.0637390i | ||||
\(861\) | −9.22407e6 | − | 2.92136e7i | −0.424048 | − | 1.34300i | ||||
\(862\) | 3.40327e6 | − | 1.04742e7i | 0.156001 | − | 0.480122i | ||||
\(863\) | 1.25265e7 | − | 1.72413e7i | 0.572536 | − | 0.788029i | −0.420316 | − | 0.907378i | \(-0.638081\pi\) |
0.992852 | + | 0.119349i | \(0.0380807\pi\) | |||||||
\(864\) | −3.98463e6 | + | 5.20600e6i | −0.181595 | + | 0.237257i | ||||
\(865\) | −2.19904e7 | − | 7.14511e6i | −0.999293 | − | 0.324690i | ||||
\(866\) | −9.16591e6 | − | 2.82098e7i | −0.415318 | − | 1.27822i | ||||
\(867\) | 2.97576e7 | + | 4.16828e7i | 1.34447 | + | 1.88325i | ||||
\(868\) | − | 3.31948e7i | − | 1.49545i | ||||||
\(869\) | 3.03925e6 | − | 1.81624e7i | 0.136527 | − | 0.815876i | ||||
\(870\) | 5.48181e7 | + | 456107.i | 2.45542 | + | 0.0204300i | ||||
\(871\) | −1.42012e6 | − | 1.95462e6i | −0.0634276 | − | 0.0873006i | ||||
\(872\) | 4.46286e7 | − | 1.45007e7i | 1.98757 | − | 0.645799i | ||||
\(873\) | −9.23928e6 | + | 2.69039e7i | −0.410301 | + | 1.19475i | ||||
\(874\) | 290067. | + | 210746.i | 0.0128446 | + | 0.00933212i | ||||
\(875\) | 401039. | + | 291372.i | 0.0177079 | + | 0.0128655i | ||||
\(876\) | −1.44916e7 | + | 4.33695e7i | −0.638053 | + | 1.90952i | ||||
\(877\) | −1.35703e7 | + | 4.40927e6i | −0.595788 | + | 0.193583i | −0.591361 | − | 0.806407i | \(-0.701409\pi\) |
−0.00442675 | + | 0.999990i | \(0.501409\pi\) | |||||||
\(878\) | 1.65715e7 | + | 2.28088e7i | 0.725481 | + | 0.998540i | ||||
\(879\) | −68640.5 | + | 8.24968e6i | −0.00299646 | + | 0.360135i | ||||
\(880\) | −2.10477e7 | − | 1.09566e7i | −0.916215 | − | 0.476946i | ||||
\(881\) | − | 1.47995e7i | − | 0.642404i | −0.947011 | − | 0.321202i | \(-0.895913\pi\) | ||
0.947011 | − | 0.321202i | \(-0.104087\pi\) | |||||||
\(882\) | −6.61297e6 | + | 4.63846e6i | −0.286236 | + | 0.200772i | ||||
\(883\) | 5.86601e6 | + | 1.80537e7i | 0.253187 | + | 0.779229i | 0.994181 | + | 0.107718i | \(0.0343544\pi\) |
−0.740994 | + | 0.671511i | \(0.765646\pi\) | |||||||
\(884\) | 1.86542e7 | + | 6.06113e6i | 0.802873 | + | 0.260869i | ||||
\(885\) | −1.14420e7 | + | 1.54761e7i | −0.491071 | + | 0.664209i | ||||
\(886\) | 9.43347e6 | − | 1.29841e7i | 0.403726 | − | 0.555682i | ||||
\(887\) | −356774. | + | 1.09804e6i | −0.0152260 | + | 0.0468607i | −0.958381 | − | 0.285493i | \(-0.907843\pi\) |
0.943155 | + | 0.332354i | \(0.107843\pi\) | |||||||
\(888\) | −3.46855e7 | + | 1.09518e7i | −1.47610 | + | 0.466073i | ||||
\(889\) | −1.24553e7 | + | 9.04929e6i | −0.528566 | + | 0.384025i | ||||
\(890\) | −7.75104e7 | −3.28008 | ||||||||
\(891\) | −2.15473e7 | + | 9.86216e6i | −0.909284 | + | 0.416177i | ||||
\(892\) | −5.11912e6 | −0.215419 | ||||||||
\(893\) | −914533. | + | 664447.i | −0.0383770 | + | 0.0278825i | ||||
\(894\) | −3.49494e7 | + | 1.10351e7i | −1.46250 | + | 0.461778i | ||||
\(895\) | 605595. | − | 1.86383e6i | 0.0252711 | − | 0.0777765i | ||||
\(896\) | 2.82217e7 | − | 3.88438e7i | 1.17439 | − | 1.61641i | ||||
\(897\) | 505315. | − | 683475.i | 0.0209692 | − | 0.0283623i | ||||
\(898\) | −2.25058e7 | − | 7.31258e6i | −0.931330 | − | 0.302608i | ||||
\(899\) | −5.46250e6 | − | 1.68118e7i | −0.225420 | − | 0.693771i | ||||
\(900\) | −3.74244e7 | + | 2.62502e7i | −1.54010 | + | 1.08026i | ||||
\(901\) | 7.47458e7i | 3.06743i | ||||||||
\(902\) | 7.90242e6 | + | 5.28745e7i | 0.323403 | + | 2.16386i | ||||
\(903\) | 9024.80 | − | 1.08466e6i | 0.000368314 | − | 0.0442665i | ||||
\(904\) | −1.64240e7 | − | 2.26057e7i | −0.668433 | − | 0.920018i | ||||
\(905\) | 2.61829e7 | − | 8.50734e6i | 1.06267 | − | 0.345281i | ||||
\(906\) | 4.97457e6 | − | 1.48875e7i | 0.201342 | − | 0.602563i | ||||
\(907\) | −3.38106e7 | − | 2.45648e7i | −1.36469 | − | 0.991507i | −0.998131 | − | 0.0611124i | \(-0.980535\pi\) |
−0.366561 | − | 0.930394i | \(-0.619465\pi\) | |||||||
\(908\) | 3.05167e7 | + | 2.21717e7i | 1.22835 | + | 0.892451i | ||||
\(909\) | 9.96459e6 | − | 2.90159e7i | 0.399991 | − | 1.16473i | ||||
\(910\) | 1.52314e7 | − | 4.94898e6i | 0.609728 | − | 0.198113i | ||||
\(911\) | −9.87643e6 | − | 1.35937e7i | −0.394279 | − | 0.542679i | 0.565017 | − | 0.825079i | \(-0.308869\pi\) |
−0.959297 | + | 0.282400i | \(0.908869\pi\) | |||||||
\(912\) | 1.18096e6 | + | 9826.00i | 0.0470161 | + | 0.000391192i | ||||
\(913\) | 1.65123e6 | + | 1.10482e7i | 0.0655585 | + | 0.438648i | ||||
\(914\) | − | 2.37477e7i | − | 0.940279i | ||||||
\(915\) | −3.81585e6 | − | 5.34503e6i | −0.150674 | − | 0.211056i | ||||
\(916\) | −2.75078e7 | − | 8.46603e7i | −1.08322 | − | 3.33381i | ||||
\(917\) | −2.57937e7 | − | 8.38089e6i | −1.01296 | − | 0.329130i | ||||
\(918\) | 4.81776e7 | − | 6.29450e7i | 1.88685 | − | 2.46521i | ||||
\(919\) | 1.63741e7 | − | 2.25371e7i | 0.639543 | − | 0.880255i | −0.359049 | − | 0.933319i | \(-0.616899\pi\) |
0.998591 | + | 0.0530641i | \(0.0168988\pi\) | |||||||
\(920\) | 2.51301e6 | − | 7.73424e6i | 0.0978868 | − | 0.301265i | ||||
\(921\) | −8.83106e6 | − | 2.79689e7i | −0.343055 | − | 1.08649i | ||||
\(922\) | 3.63531e7 | − | 2.64121e7i | 1.40836 | − | 1.02323i | ||||
\(923\) | 5.23524e6 | 0.202270 | ||||||||
\(924\) | 4.88507e7 | − | 2.38509e7i | 1.88231 | − | 0.919021i | ||||
\(925\) | 2.56409e7 | 0.985322 | ||||||||
\(926\) | −2.42676e6 | + | 1.76314e6i | −0.0930035 | + | 0.0675710i | ||||
\(927\) | 2.56893e6 | + | 8.37822e6i | 0.0981866 | + | 0.320223i | ||||
\(928\) | 2.47489e6 | − | 7.61693e6i | 0.0943379 | − | 0.290342i | ||||
\(929\) | 5.80091e6 | − | 7.98427e6i | 0.220524 | − | 0.303526i | −0.684393 | − | 0.729114i | \(-0.739933\pi\) |
0.904917 | + | 0.425588i | \(0.139933\pi\) | |||||||
\(930\) | 3.63877e7 | + | 2.69026e7i | 1.37958 | + | 1.01997i | ||||
\(931\) | −330784. | − | 107478.i | −0.0125075 | − | 0.00406393i | ||||
\(932\) | −3.79707e6 | − | 1.16862e7i | −0.143189 | − | 0.440689i | ||||
\(933\) | −3.64874e7 | + | 2.60486e7i | −1.37227 | + | 0.979671i | ||||
\(934\) | 4.49108e7i | 1.68455i | ||||||||
\(935\) | −6.08280e7 | − | 3.16647e7i | −2.27549 | − | 1.18453i | ||||
\(936\) | 167867. | − | 1.00870e7i | 0.00626292 | − | 0.376334i | ||||
\(937\) | 4.83167e6 | + | 6.65022e6i | 0.179783 | + | 0.247450i | 0.889392 | − | 0.457146i | \(-0.151128\pi\) |
−0.709609 | + | 0.704596i | \(0.751128\pi\) | |||||||
\(938\) | 2.13026e7 | − | 6.92163e6i | 0.790543 | − | 0.256863i | ||||
\(939\) | −1.81350e7 | − | 6.05970e6i | −0.671204 | − | 0.224278i | ||||
\(940\) | 4.35830e7 | + | 3.16649e7i | 1.60878 | + | 1.16885i | ||||
\(941\) | −251428. | − | 182673.i | −0.00925634 | − | 0.00672513i | 0.583147 | − | 0.812366i | \(-0.301821\pi\) |
−0.592404 | + | 0.805641i | \(0.701821\pi\) | |||||||
\(942\) | −1.14326e7 | − | 3.82013e6i | −0.419776 | − | 0.140265i | ||||
\(943\) | −4.83599e6 | + | 1.57131e6i | −0.177095 | + | 0.0575416i | ||||
\(944\) | −6.91457e6 | − | 9.51709e6i | −0.252543 | − | 0.347595i | ||||
\(945\) | 1.05989e6 | − | 4.24536e7i | 0.0386082 | − | 1.54645i | ||||
\(946\) | −312413. | + | 1.86696e6i | −0.0113501 | + | 0.0678277i | ||||
\(947\) | 4.36504e7i | 1.58166i | 0.612036 | + | 0.790830i | \(0.290351\pi\) | ||||
−0.612036 | + | 0.790830i | \(0.709649\pi\) | |||||||
\(948\) | 3.55486e7 | − | 2.53784e7i | 1.28470 | − | 0.917155i | ||||
\(949\) | 2.19829e6 | + | 6.76564e6i | 0.0792354 | + | 0.243861i | ||||
\(950\) | −2.85302e6 | − | 927002.i | −0.102564 | − | 0.0333251i | ||||
\(951\) | −4.01369e7 | − | 2.96745e7i | −1.43911 | − | 1.06398i | ||||
\(952\) | −5.08703e7 | + | 7.00170e7i | −1.81917 | + | 2.50387i | ||||
\(953\) | −1.02964e7 | + | 3.16891e7i | −0.367243 | + | 1.13026i | 0.581322 | + | 0.813673i | \(0.302536\pi\) |
−0.948565 | + | 0.316583i | \(0.897464\pi\) | |||||||
\(954\) | 7.72278e7 | − | 2.36796e7i | 2.74728 | − | 0.842370i | ||||
\(955\) | 3.57411e7 | − | 2.59675e7i | 1.26812 | − | 0.921342i | ||||
\(956\) | 1.75856e7 | 0.622320 | ||||||||
\(957\) | 2.08160e7 | − | 2.01184e7i | 0.734713 | − | 0.710089i | ||||
\(958\) | −8.21178e7 | −2.89083 | ||||||||
\(959\) | −1.67386e7 | + | 1.21613e7i | −0.587724 | + | 0.427006i | ||||
\(960\) | 1.50539e7 | + | 4.76773e7i | 0.527195 | + | 1.66968i | ||||
\(961\) | −4.33772e6 | + | 1.33501e7i | −0.151514 | + | 0.466312i | ||||
\(962\) | −6.98849e6 | + | 9.61883e6i | −0.243470 | + | 0.335108i | ||||
\(963\) | −2.29178e7 | − | 1.72406e7i | −0.796354 | − | 0.599082i | ||||
\(964\) | 4.70811e7 | + | 1.52976e7i | 1.63175 | + | 0.530188i | ||||
\(965\) | 1.10334e7 | + | 3.39573e7i | 0.381409 | + | 1.17386i | ||||
\(966\) | 4.57863e6 | + | 6.41349e6i | 0.157868 | + | 0.221132i | ||||
\(967\) | − | 1.73474e7i | − | 0.596579i | −0.954475 | − | 0.298290i | \(-0.903584\pi\) | ||
0.954475 | − | 0.298290i | \(-0.0964161\pi\) | |||||||
\(968\) | −4.31786e7 | + | 1.32015e7i | −1.48109 | + | 0.452829i | ||||
\(969\) | 3.41297e6 | + | 28397.2i | 0.116768 | + | 0.000971553i | ||||
\(970\) | 5.22901e7 | + | 7.19712e7i | 1.78439 | + | 2.45601i | ||||
\(971\) | 3.03102e7 | − | 9.84838e6i | 1.03167 | − | 0.335210i | 0.256220 | − | 0.966619i | \(-0.417523\pi\) |
0.775450 | + | 0.631409i | \(0.217523\pi\) | |||||||
\(972\) | −5.26869e7 | − | 1.95769e7i | −1.78870 | − | 0.664627i | ||||
\(973\) | 1.28003e7 | + | 9.29997e6i | 0.433449 | + | 0.314919i | ||||
\(974\) | 4.01394e7 | + | 2.91630e7i | 1.35573 | + | 0.984997i | ||||
\(975\) | −2.25382e6 | + | 6.74508e6i | −0.0759291 | + | 0.227235i | ||||
\(976\) | 3.81759e6 | − | 1.24041e6i | 0.128282 | − | 0.0416813i | ||||
\(977\) | −4.70444e6 | − | 6.47511e6i | −0.157678 | − | 0.217025i | 0.722868 | − | 0.690987i | \(-0.242824\pi\) |
−0.880546 | + | 0.473961i | \(0.842824\pi\) | |||||||
\(978\) | 664919. | − | 7.99145e7i | 0.0222291 | − | 2.67164i | ||||
\(979\) | −2.91942e7 | + | 2.86894e7i | −0.973510 | + | 0.956675i | ||||
\(980\) | 1.65751e7i | 0.551303i | ||||||||
\(981\) | −2.33560e7 | − | 3.32981e7i | −0.774864 | − | 1.10471i | ||||
\(982\) | 1.45175e7 | + | 4.46803e7i | 0.480411 | + | 1.47855i | ||||
\(983\) | 3.74349e7 | + | 1.21633e7i | 1.23564 | + | 0.401484i | 0.852755 | − | 0.522311i | \(-0.174930\pi\) |
0.382886 | + | 0.923796i | \(0.374930\pi\) | |||||||
\(984\) | −3.58788e7 | + | 4.85287e7i | −1.18127 | + | 1.59776i | ||||
\(985\) | −9.33711e6 | + | 1.28514e7i | −0.306635 | + | 0.422047i | ||||
\(986\) | −2.99236e7 | + | 9.20953e7i | −0.980214 | + | 3.01679i | ||||
\(987\) | −2.36919e7 | + | 7.48061e6i | −0.774117 | + | 0.244424i | ||||
\(988\) | 738391. | − | 536472.i | 0.0240654 | − | 0.0174846i | ||||
\(989\) | −180039. | −0.00585298 | ||||||||
\(990\) | −1.34457e7 | + | 7.28793e7i | −0.436010 | + | 2.36328i | ||||
\(991\) | 1.73791e7 | 0.562139 | 0.281069 | − | 0.959687i | \(-0.409311\pi\) | ||||
0.281069 | + | 0.959687i | \(0.409311\pi\) | |||||||
\(992\) | 5.34856e6 | − | 3.88596e6i | 0.172567 | − | 0.125377i | ||||
\(993\) | −478567. | + | 151106.i | −0.0154017 | + | 0.00486304i | ||||
\(994\) | −1.49982e7 | + | 4.61598e7i | −0.481476 | + | 1.48183i | ||||
\(995\) | −8.55414e6 | + | 1.17738e7i | −0.273917 | + | 0.377014i | ||||
\(996\) | −1.57518e7 | + | 2.13055e7i | −0.503132 | + | 0.680522i | ||||
\(997\) | 3.22439e6 | + | 1.04767e6i | 0.102733 | + | 0.0333800i | 0.359932 | − | 0.932978i | \(-0.382800\pi\) |
−0.257199 | + | 0.966358i | \(0.582800\pi\) | |||||||
\(998\) | 6.09851e6 | + | 1.87693e7i | 0.193819 | + | 0.596515i | ||||
\(999\) | 1.78887e7 | + | 2.59603e7i | 0.567107 | + | 0.822994i |
(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 | 33.6.f.a.8.2 | ✓ | 72 | |
3.2 | odd | 2 | inner | 33.6.f.a.8.17 | yes | 72 | |
11.7 | odd | 10 | inner | 33.6.f.a.29.17 | yes | 72 | |
33.29 | even | 10 | inner | 33.6.f.a.29.2 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.f.a.8.2 | ✓ | 72 | 1.1 | even | 1 | trivial | |
33.6.f.a.8.17 | yes | 72 | 3.2 | odd | 2 | inner | |
33.6.f.a.29.2 | yes | 72 | 33.29 | even | 10 | inner | |
33.6.f.a.29.17 | yes | 72 | 11.7 | odd | 10 | inner |