Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(4,33)]
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([0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.e (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: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 3 x^{19} + 142 x^{18} - 389 x^{17} + 14927 x^{16} - 6599 x^{15} + 1399353 x^{14} + \cdots + 25735126080400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{4}\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 4.5 | ||
Root | \(8.61948 - 6.26242i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.4 |
Dual form | 33.6.e.a.25.5 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 7.81047 | + | 5.67464i | 1.38071 | + | 1.00314i | 0.996814 | + | 0.0797669i | \(0.0254176\pi\) |
0.383895 | + | 0.923377i | \(0.374582\pi\) | |||||||
\(3\) | 2.78115 | − | 8.55951i | 0.178411 | − | 0.549093i | ||||
\(4\) | 18.9134 | + | 58.2093i | 0.591042 | + | 1.81904i | ||||
\(5\) | 25.1385 | − | 18.2642i | 0.449692 | − | 0.326720i | −0.339782 | − | 0.940504i | \(-0.610353\pi\) |
0.789474 | + | 0.613784i | \(0.210353\pi\) | |||||||
\(6\) | 70.2942 | − | 51.0717i | 0.797153 | − | 0.579165i | ||||
\(7\) | 56.7190 | + | 174.563i | 0.437506 | + | 1.34650i | 0.890497 | + | 0.454989i | \(0.150357\pi\) |
−0.452991 | + | 0.891515i | \(0.649643\pi\) | |||||||
\(8\) | −87.1280 | + | 268.152i | −0.481319 | + | 1.48135i | ||||
\(9\) | −65.5304 | − | 47.6106i | −0.269672 | − | 0.195928i | ||||
\(10\) | 299.987 | 0.948641 | ||||||||
\(11\) | −30.5455 | − | 400.147i | −0.0761141 | − | 0.997099i | ||||
\(12\) | 550.844 | 1.10427 | ||||||||
\(13\) | −707.066 | − | 513.713i | −1.16038 | − | 0.843068i | −0.170557 | − | 0.985348i | \(-0.554557\pi\) |
−0.989826 | + | 0.142280i | \(0.954557\pi\) | |||||||
\(14\) | −547.581 | + | 1685.28i | −0.746669 | + | 2.29801i | ||||
\(15\) | −86.4186 | − | 265.969i | −0.0991698 | − | 0.305213i | ||||
\(16\) | −617.672 | + | 448.765i | −0.603195 | + | 0.438247i | ||||
\(17\) | −627.084 | + | 455.604i | −0.526264 | + | 0.382353i | −0.818958 | − | 0.573853i | \(-0.805448\pi\) |
0.292694 | + | 0.956206i | \(0.405448\pi\) | |||||||
\(18\) | −241.650 | − | 743.722i | −0.175795 | − | 0.541040i | ||||
\(19\) | 462.848 | − | 1424.50i | 0.294140 | − | 0.905271i | −0.689368 | − | 0.724411i | \(-0.742112\pi\) |
0.983509 | − | 0.180860i | \(-0.0578881\pi\) | |||||||
\(20\) | 1538.60 | + | 1117.86i | 0.860105 | + | 0.624903i | ||||
\(21\) | 1651.92 | 0.817412 | ||||||||
\(22\) | 2032.12 | − | 3298.67i | 0.895142 | − | 1.45306i | ||||
\(23\) | 1303.68 | 0.513867 | 0.256933 | − | 0.966429i | \(-0.417288\pi\) | ||||
0.256933 | + | 0.966429i | \(0.417288\pi\) | |||||||
\(24\) | 2052.94 | + | 1491.55i | 0.727524 | + | 0.528577i | ||||
\(25\) | −667.313 | + | 2053.78i | −0.213540 | + | 0.657209i | ||||
\(26\) | −2607.38 | − | 8024.68i | −0.756433 | − | 2.32806i | ||||
\(27\) | −589.773 | + | 428.495i | −0.155695 | + | 0.113119i | ||||
\(28\) | −9088.46 | + | 6603.16i | −2.19076 | + | 1.59168i | ||||
\(29\) | −150.045 | − | 461.791i | −0.0331304 | − | 0.101965i | 0.933124 | − | 0.359555i | \(-0.117072\pi\) |
−0.966254 | + | 0.257590i | \(0.917072\pi\) | |||||||
\(30\) | 834.309 | − | 2567.74i | 0.169248 | − | 0.520892i | ||||
\(31\) | −6111.03 | − | 4439.92i | −1.14212 | − | 0.829795i | −0.154703 | − | 0.987961i | \(-0.549442\pi\) |
−0.987413 | + | 0.158166i | \(0.949442\pi\) | |||||||
\(32\) | 1651.59 | 0.285119 | ||||||||
\(33\) | −3510.02 | − | 851.417i | −0.561079 | − | 0.136100i | ||||
\(34\) | −7483.21 | −1.11017 | ||||||||
\(35\) | 4614.10 | + | 3352.34i | 0.636673 | + | 0.462570i | ||||
\(36\) | 1531.98 | − | 4714.96i | 0.197014 | − | 0.606347i | ||||
\(37\) | 3612.44 | + | 11118.0i | 0.433807 | + | 1.33512i | 0.894304 | + | 0.447460i | \(0.147671\pi\) |
−0.460497 | + | 0.887661i | \(0.652329\pi\) | |||||||
\(38\) | 11698.6 | − | 8499.52i | 1.31424 | − | 0.954850i | ||||
\(39\) | −6363.59 | + | 4623.42i | −0.669948 | + | 0.486745i | ||||
\(40\) | 2707.32 | + | 8332.29i | 0.267541 | + | 0.823406i | ||||
\(41\) | 2555.51 | − | 7865.05i | 0.237420 | − | 0.730705i | −0.759371 | − | 0.650658i | \(-0.774493\pi\) |
0.996791 | − | 0.0800467i | \(-0.0255069\pi\) | |||||||
\(42\) | 12902.3 | + | 9374.05i | 1.12861 | + | 0.819981i | ||||
\(43\) | −1748.03 | −0.144171 | −0.0720854 | − | 0.997398i | \(-0.522965\pi\) | ||||
−0.0720854 | + | 0.997398i | \(0.522965\pi\) | |||||||
\(44\) | 22714.6 | − | 9346.16i | 1.76878 | − | 0.727783i | ||||
\(45\) | −2516.91 | −0.185283 | ||||||||
\(46\) | 10182.3 | + | 7397.90i | 0.709501 | + | 0.515482i | ||||
\(47\) | −8232.49 | + | 25337.0i | −0.543609 | + | 1.67306i | 0.180666 | + | 0.983544i | \(0.442175\pi\) |
−0.724275 | + | 0.689511i | \(0.757825\pi\) | |||||||
\(48\) | 2123.37 | + | 6535.05i | 0.133021 | + | 0.409398i | ||||
\(49\) | −13658.1 | + | 9923.22i | −0.812646 | + | 0.590422i | ||||
\(50\) | −16866.5 | + | 12254.2i | −0.954112 | + | 0.693203i | ||||
\(51\) | 2155.72 | + | 6634.64i | 0.116056 | + | 0.357184i | ||||
\(52\) | 16529.9 | − | 50873.9i | 0.847740 | − | 2.60907i | ||||
\(53\) | 19477.4 | + | 14151.2i | 0.952450 | + | 0.691996i | 0.951385 | − | 0.308004i | \(-0.0996609\pi\) |
0.00106522 | + | 0.999999i | \(0.499661\pi\) | |||||||
\(54\) | −7037.96 | −0.328445 | ||||||||
\(55\) | −8076.25 | − | 9501.24i | −0.360000 | − | 0.423519i | ||||
\(56\) | −51751.4 | −2.20522 | ||||||||
\(57\) | −10905.8 | − | 7923.51i | −0.444600 | − | 0.323021i | ||||
\(58\) | 1448.57 | − | 4458.25i | 0.0565420 | − | 0.174018i | ||||
\(59\) | 10510.2 | + | 32347.1i | 0.393081 | + | 1.20978i | 0.930446 | + | 0.366429i | \(0.119420\pi\) |
−0.537365 | + | 0.843350i | \(0.680580\pi\) | |||||||
\(60\) | 13847.4 | − | 10060.7i | 0.496582 | − | 0.360788i | ||||
\(61\) | 31408.0 | − | 22819.2i | 1.08073 | − | 0.785193i | 0.102916 | − | 0.994690i | \(-0.467183\pi\) |
0.977809 | + | 0.209497i | \(0.0671827\pi\) | |||||||
\(62\) | −22535.0 | − | 69355.7i | −0.744525 | − | 2.29141i | ||||
\(63\) | 4594.24 | − | 14139.6i | 0.145835 | − | 0.448835i | ||||
\(64\) | 32665.1 | + | 23732.6i | 0.996861 | + | 0.724262i | ||||
\(65\) | −27157.2 | −0.797262 | ||||||||
\(66\) | −22583.4 | − | 26568.0i | −0.638160 | − | 0.750757i | ||||
\(67\) | −70517.1 | −1.91914 | −0.959571 | − | 0.281465i | \(-0.909180\pi\) | ||||
−0.959571 | + | 0.281465i | \(0.909180\pi\) | |||||||
\(68\) | −38380.7 | − | 27885.2i | −1.00656 | − | 0.731309i | ||||
\(69\) | 3625.73 | − | 11158.8i | 0.0916795 | − | 0.282161i | ||||
\(70\) | 17015.0 | + | 52366.6i | 0.415036 | + | 1.27735i | ||||
\(71\) | 8878.71 | − | 6450.76i | 0.209028 | − | 0.151868i | −0.478346 | − | 0.878171i | \(-0.658763\pi\) |
0.687374 | + | 0.726304i | \(0.258763\pi\) | |||||||
\(72\) | 18476.4 | − | 13423.9i | 0.420036 | − | 0.305174i | ||||
\(73\) | −11126.5 | − | 34243.7i | −0.244371 | − | 0.752097i | −0.995739 | − | 0.0922139i | \(-0.970606\pi\) |
0.751368 | − | 0.659883i | \(-0.229394\pi\) | |||||||
\(74\) | −34875.5 | + | 107336.i | −0.740357 | + | 2.27858i | ||||
\(75\) | 15723.4 | + | 11423.8i | 0.322771 | + | 0.234507i | ||||
\(76\) | 91673.2 | 1.82057 | ||||||||
\(77\) | 68118.5 | − | 28028.1i | 1.30930 | − | 0.538725i | ||||
\(78\) | −75938.9 | −1.41328 | ||||||||
\(79\) | 9595.02 | + | 6971.19i | 0.172973 | + | 0.125672i | 0.670903 | − | 0.741545i | \(-0.265907\pi\) |
−0.497930 | + | 0.867217i | \(0.665907\pi\) | |||||||
\(80\) | −7331.03 | + | 22562.6i | −0.128068 | + | 0.394152i | ||||
\(81\) | 2027.46 | + | 6239.88i | 0.0343352 | + | 0.105673i | ||||
\(82\) | 64591.1 | − | 46928.2i | 1.06081 | − | 0.770724i | ||||
\(83\) | 7783.43 | − | 5655.00i | 0.124015 | − | 0.0901025i | −0.524048 | − | 0.851688i | \(-0.675579\pi\) |
0.648064 | + | 0.761586i | \(0.275579\pi\) | |||||||
\(84\) | 31243.4 | + | 96157.2i | 0.483125 | + | 1.48691i | ||||
\(85\) | −7442.75 | + | 22906.4i | −0.111734 | + | 0.343882i | ||||
\(86\) | −13652.9 | − | 9919.43i | −0.199058 | − | 0.144624i | ||||
\(87\) | −4370.00 | −0.0618990 | ||||||||
\(88\) | 109962. | + | 26673.2i | 1.51368 | + | 0.367171i | ||||
\(89\) | 93324.6 | 1.24888 | 0.624441 | − | 0.781072i | \(-0.285327\pi\) | ||||
0.624441 | + | 0.781072i | \(0.285327\pi\) | |||||||
\(90\) | −19658.2 | − | 14282.5i | −0.255822 | − | 0.185866i | ||||
\(91\) | 49571.4 | − | 152565.i | 0.627520 | − | 1.93131i | ||||
\(92\) | 24656.9 | + | 75886.2i | 0.303717 | + | 0.934745i | ||||
\(93\) | −54999.2 | + | 39959.3i | −0.659400 | + | 0.479082i | ||||
\(94\) | −208078. | + | 151177.i | −2.42888 | + | 1.76469i | ||||
\(95\) | −14382.1 | − | 44263.4i | −0.163498 | − | 0.503195i | ||||
\(96\) | 4593.31 | − | 14136.8i | 0.0508684 | − | 0.156557i | ||||
\(97\) | −66306.2 | − | 48174.3i | −0.715525 | − | 0.519859i | 0.169426 | − | 0.985543i | \(-0.445809\pi\) |
−0.884951 | + | 0.465684i | \(0.845809\pi\) | |||||||
\(98\) | −162987. | −1.71430 | ||||||||
\(99\) | −17049.6 | + | 27676.1i | −0.174834 | + | 0.283803i | ||||
\(100\) | −132170. | −1.32170 | ||||||||
\(101\) | 3160.28 | + | 2296.08i | 0.0308264 | + | 0.0223967i | 0.603092 | − | 0.797672i | \(-0.293935\pi\) |
−0.572265 | + | 0.820069i | \(0.693935\pi\) | |||||||
\(102\) | −20811.9 | + | 64052.6i | −0.198067 | + | 0.609588i | ||||
\(103\) | −3827.32 | − | 11779.3i | −0.0355469 | − | 0.109402i | 0.931709 | − | 0.363206i | \(-0.118318\pi\) |
−0.967256 | + | 0.253804i | \(0.918318\pi\) | |||||||
\(104\) | 199359. | − | 144843.i | 1.80739 | − | 1.31315i | ||||
\(105\) | 41526.9 | − | 30171.0i | 0.367583 | − | 0.267065i | ||||
\(106\) | 71825.1 | + | 221055.i | 0.620885 | + | 1.91089i | ||||
\(107\) | 39698.1 | − | 122178.i | 0.335205 | − | 1.03165i | −0.631416 | − | 0.775444i | \(-0.717526\pi\) |
0.966621 | − | 0.256210i | \(-0.0824739\pi\) | |||||||
\(108\) | −36097.0 | − | 26226.0i | −0.297791 | − | 0.216358i | ||||
\(109\) | 174532. | 1.40705 | 0.703524 | − | 0.710671i | \(-0.251609\pi\) | ||||
0.703524 | + | 0.710671i | \(0.251609\pi\) | |||||||
\(110\) | −9163.23 | − | 120039.i | −0.0722050 | − | 0.945889i | ||||
\(111\) | 105211. | 0.810502 | ||||||||
\(112\) | −113372. | − | 82369.3i | −0.854003 | − | 0.620469i | ||||
\(113\) | −48051.2 | + | 147886.i | −0.354004 | + | 1.08951i | 0.602581 | + | 0.798058i | \(0.294139\pi\) |
−0.956585 | + | 0.291454i | \(0.905861\pi\) | |||||||
\(114\) | −40216.2 | − | 123773.i | −0.289827 | − | 0.891995i | ||||
\(115\) | 32772.6 | − | 23810.7i | 0.231082 | − | 0.167891i | ||||
\(116\) | 24042.7 | − | 17468.0i | 0.165897 | − | 0.120531i | ||||
\(117\) | 21876.1 | + | 67327.7i | 0.147742 | + | 0.454704i | ||||
\(118\) | −101469. | + | 312288.i | −0.670851 | + | 2.06467i | ||||
\(119\) | −115099. | − | 83624.5i | −0.745084 | − | 0.541335i | ||||
\(120\) | 78849.8 | 0.499859 | ||||||||
\(121\) | −159185. | + | 24445.4i | −0.988413 | + | 0.151787i | ||||
\(122\) | 374802. | 2.27983 | ||||||||
\(123\) | −60213.7 | − | 43747.8i | −0.358866 | − | 0.260732i | ||||
\(124\) | 142865. | − | 439693.i | 0.834393 | − | 2.56800i | ||||
\(125\) | 50741.9 | + | 156167.i | 0.290463 | + | 0.893954i | ||||
\(126\) | 116120. | − | 84366.4i | 0.651602 | − | 0.473416i | ||||
\(127\) | −241531. | + | 175483.i | −1.32881 | + | 0.965439i | −0.329035 | + | 0.944318i | \(0.606724\pi\) |
−0.999777 | + | 0.0211210i | \(0.993276\pi\) | |||||||
\(128\) | 104124. | + | 320462.i | 0.561729 | + | 1.72883i | ||||
\(129\) | −4861.53 | + | 14962.3i | −0.0257217 | + | 0.0791632i | ||||
\(130\) | −212110. | − | 154107.i | −1.10079 | − | 0.799769i | ||||
\(131\) | −211217. | −1.07535 | −0.537675 | − | 0.843152i | \(-0.680697\pi\) | ||||
−0.537675 | + | 0.843152i | \(0.680697\pi\) | |||||||
\(132\) | −16825.8 | − | 220419.i | −0.0840506 | − | 1.10107i | ||||
\(133\) | 274918. | 1.34764 | ||||||||
\(134\) | −550771. | − | 400159.i | −2.64978 | − | 1.92518i | ||||
\(135\) | −6999.91 | + | 21543.5i | −0.0330566 | + | 0.101738i | ||||
\(136\) | −67534.6 | − | 207850.i | −0.313097 | − | 0.963613i | ||||
\(137\) | 157645. | − | 114536.i | 0.717593 | − | 0.521362i | −0.168021 | − | 0.985783i | \(-0.553738\pi\) |
0.885614 | + | 0.464422i | \(0.153738\pi\) | |||||||
\(138\) | 91641.0 | − | 66581.1i | 0.409630 | − | 0.297614i | ||||
\(139\) | −36314.4 | − | 111764.i | −0.159420 | − | 0.490643i | 0.839162 | − | 0.543881i | \(-0.183046\pi\) |
−0.998582 | + | 0.0532382i | \(0.983046\pi\) | |||||||
\(140\) | −107869. | + | 331987.i | −0.465133 | + | 1.43153i | ||||
\(141\) | 193976. | + | 140932.i | 0.821677 | + | 0.596983i | ||||
\(142\) | 105953. | 0.440951 | ||||||||
\(143\) | −183963. | + | 298622.i | −0.752301 | + | 1.22119i | ||||
\(144\) | 61842.2 | 0.248530 | ||||||||
\(145\) | −12206.2 | − | 8868.30i | −0.0482125 | − | 0.0350284i | ||||
\(146\) | 107418. | − | 330598.i | 0.417056 | − | 1.28357i | ||||
\(147\) | 46952.5 | + | 144505.i | 0.179211 | + | 0.551556i | ||||
\(148\) | −578846. | + | 420556.i | −2.17224 | + | 1.57823i | ||||
\(149\) | −108603. | + | 78904.8i | −0.400753 | + | 0.291164i | −0.769848 | − | 0.638228i | \(-0.779668\pi\) |
0.369095 | + | 0.929392i | \(0.379668\pi\) | |||||||
\(150\) | 57981.8 | + | 178450.i | 0.210409 | + | 0.647571i | ||||
\(151\) | 40625.5 | − | 125032.i | 0.144996 | − | 0.446252i | −0.852014 | − | 0.523518i | \(-0.824619\pi\) |
0.997011 | + | 0.0772661i | \(0.0246191\pi\) | |||||||
\(152\) | 341656. | + | 248228.i | 1.19944 | + | 0.871448i | ||||
\(153\) | 62784.6 | 0.216833 | ||||||||
\(154\) | 691087. | + | 167635.i | 2.34818 | + | 0.569592i | ||||
\(155\) | −234714. | −0.784711 | ||||||||
\(156\) | −389483. | − | 282976.i | −1.28138 | − | 0.930975i | ||||
\(157\) | 66528.9 | − | 204755.i | 0.215408 | − | 0.662956i | −0.783717 | − | 0.621118i | \(-0.786679\pi\) |
0.999124 | − | 0.0418380i | \(-0.0133213\pi\) | |||||||
\(158\) | 35382.6 | + | 108896.i | 0.112758 | + | 0.347033i | ||||
\(159\) | 175297. | − | 127361.i | 0.549897 | − | 0.399524i | ||||
\(160\) | 41518.4 | − | 30164.9i | 0.128216 | − | 0.0931541i | ||||
\(161\) | 73943.4 | + | 227574.i | 0.224820 | + | 0.691924i | ||||
\(162\) | −19573.6 | + | 60241.5i | −0.0585982 | + | 0.180347i | ||||
\(163\) | −175207. | − | 127295.i | −0.516514 | − | 0.375270i | 0.298775 | − | 0.954324i | \(-0.403422\pi\) |
−0.815289 | + | 0.579054i | \(0.803422\pi\) | |||||||
\(164\) | 506153. | 1.46951 | ||||||||
\(165\) | −103787. | + | 42704.3i | −0.296780 | + | 0.122113i | ||||
\(166\) | 92882.3 | 0.261615 | ||||||||
\(167\) | −23949.9 | − | 17400.6i | −0.0664526 | − | 0.0482807i | 0.554063 | − | 0.832475i | \(-0.313077\pi\) |
−0.620516 | + | 0.784194i | \(0.713077\pi\) | |||||||
\(168\) | −143928. | + | 442966.i | −0.393435 | + | 1.21087i | ||||
\(169\) | 121305. | + | 373338.i | 0.326709 | + | 1.00551i | ||||
\(170\) | −188117. | + | 136675.i | −0.499236 | + | 0.362716i | ||||
\(171\) | −98151.9 | + | 71311.6i | −0.256690 | + | 0.186496i | ||||
\(172\) | −33061.1 | − | 101752.i | −0.0852111 | − | 0.262253i | ||||
\(173\) | 99568.5 | − | 306440.i | 0.252934 | − | 0.778450i | −0.741296 | − | 0.671178i | \(-0.765789\pi\) |
0.994230 | − | 0.107272i | \(-0.0342115\pi\) | |||||||
\(174\) | −34131.8 | − | 24798.2i | −0.0854645 | − | 0.0620936i | ||||
\(175\) | −396364. | −0.978361 | ||||||||
\(176\) | 198439. | + | 233452.i | 0.482887 | + | 0.568088i | ||||
\(177\) | 306106. | 0.734411 | ||||||||
\(178\) | 728909. | + | 529583.i | 1.72434 | + | 1.25281i | ||||
\(179\) | 148577. | − | 457274.i | 0.346593 | − | 1.06670i | −0.614132 | − | 0.789203i | \(-0.710494\pi\) |
0.960725 | − | 0.277501i | \(-0.0895062\pi\) | |||||||
\(180\) | −47603.2 | − | 146508.i | −0.109510 | − | 0.337038i | ||||
\(181\) | −39536.4 | + | 28724.8i | −0.0897016 | + | 0.0651720i | −0.631732 | − | 0.775187i | \(-0.717656\pi\) |
0.542030 | + | 0.840359i | \(0.317656\pi\) | |||||||
\(182\) | 1.25293e6 | − | 910305.i | 2.80380 | − | 2.03708i | ||||
\(183\) | −107971. | − | 332301.i | −0.238330 | − | 0.733505i | ||||
\(184\) | −113587. | + | 349584.i | −0.247334 | + | 0.761215i | ||||
\(185\) | 293872. | + | 213511.i | 0.631291 | + | 0.458660i | ||||
\(186\) | −656324. | −1.39103 | ||||||||
\(187\) | 201463. | + | 237010.i | 0.421300 | + | 0.495635i | ||||
\(188\) | −1.63055e6 | −3.36465 | ||||||||
\(189\) | −108251. | − | 78648.9i | −0.220433 | − | 0.160154i | ||||
\(190\) | 138848. | − | 427331.i | 0.279034 | − | 0.858777i | ||||
\(191\) | −100174. | − | 308303.i | −0.198688 | − | 0.611498i | −0.999914 | − | 0.0131359i | \(-0.995819\pi\) |
0.801226 | − | 0.598362i | \(-0.204181\pi\) | |||||||
\(192\) | 293986. | − | 213594.i | 0.575538 | − | 0.418153i | ||||
\(193\) | −148355. | + | 107786.i | −0.286688 | + | 0.208291i | −0.721829 | − | 0.692071i | \(-0.756698\pi\) |
0.435141 | + | 0.900362i | \(0.356698\pi\) | |||||||
\(194\) | −244511. | − | 752527.i | −0.466438 | − | 1.43555i | ||||
\(195\) | −75528.3 | + | 232452.i | −0.142240 | + | 0.437771i | ||||
\(196\) | −835945. | − | 607350.i | −1.55431 | − | 1.12927i | ||||
\(197\) | −644561. | −1.18331 | −0.591655 | − | 0.806191i | \(-0.701525\pi\) | ||||
−0.591655 | + | 0.806191i | \(0.701525\pi\) | |||||||
\(198\) | −290217. | + | 119413.i | −0.526090 | + | 0.216465i | ||||
\(199\) | −278590. | −0.498692 | −0.249346 | − | 0.968414i | \(-0.580216\pi\) | ||||
−0.249346 | + | 0.968414i | \(0.580216\pi\) | |||||||
\(200\) | −492584. | − | 357883.i | −0.870774 | − | 0.632654i | ||||
\(201\) | −196119. | + | 603592.i | −0.342396 | + | 1.05379i | ||||
\(202\) | 11653.9 | + | 35866.9i | 0.0200952 | + | 0.0618466i | ||||
\(203\) | 72101.3 | − | 52384.7i | 0.122801 | − | 0.0892204i | ||||
\(204\) | −345426. | + | 250967.i | −0.581138 | + | 0.422222i | ||||
\(205\) | −79407.3 | − | 244390.i | −0.131970 | − | 0.406162i | ||||
\(206\) | 36949.9 | − | 113720.i | 0.0606660 | − | 0.186711i | ||||
\(207\) | −85430.5 | − | 62068.9i | −0.138576 | − | 0.100681i | ||||
\(208\) | 667271. | 1.06941 | ||||||||
\(209\) | −584148. | − | 141695.i | −0.925033 | − | 0.224383i | ||||
\(210\) | 495554. | 0.775430 | ||||||||
\(211\) | 308245. | + | 223953.i | 0.476639 | + | 0.346298i | 0.800023 | − | 0.599969i | \(-0.204821\pi\) |
−0.323384 | + | 0.946268i | \(0.604821\pi\) | |||||||
\(212\) | −455348. | + | 1.40142e6i | −0.695830 | + | 2.14155i | ||||
\(213\) | −30522.3 | − | 93937.9i | −0.0460965 | − | 0.141870i | ||||
\(214\) | 1.00338e6 | − | 728996.i | 1.49772 | − | 1.08816i | ||||
\(215\) | −43942.9 | + | 31926.4i | −0.0648325 | + | 0.0471035i | ||||
\(216\) | −63516.3 | − | 195483.i | −0.0926298 | − | 0.285085i | ||||
\(217\) | 428435. | − | 1.31859e6i | 0.617641 | − | 1.90090i | ||||
\(218\) | 1.36318e6 | + | 990406.i | 1.94272 | + | 1.41147i | ||||
\(219\) | −324054. | −0.456570 | ||||||||
\(220\) | 400312. | − | 649813.i | 0.557624 | − | 0.905174i | ||||
\(221\) | 677440. | 0.933018 | ||||||||
\(222\) | 821747. | + | 597034.i | 1.11907 | + | 0.813049i | ||||
\(223\) | 99211.1 | − | 305340.i | 0.133597 | − | 0.411171i | −0.861772 | − | 0.507296i | \(-0.830645\pi\) |
0.995369 | + | 0.0961255i | \(0.0306450\pi\) | |||||||
\(224\) | 93676.3 | + | 288306.i | 0.124741 | + | 0.383914i | ||||
\(225\) | 141511. | − | 102814.i | 0.186352 | − | 0.135393i | ||||
\(226\) | −1.21450e6 | + | 882388.i | −1.58171 | + | 1.14918i | ||||
\(227\) | 413157. | + | 1.27157e6i | 0.532170 | + | 1.63785i | 0.749685 | + | 0.661794i | \(0.230205\pi\) |
−0.217515 | + | 0.976057i | \(0.569795\pi\) | |||||||
\(228\) | 254957. | − | 784678.i | 0.324811 | − | 0.999664i | ||||
\(229\) | 826982. | + | 600838.i | 1.04210 | + | 0.757126i | 0.970693 | − | 0.240321i | \(-0.0772528\pi\) |
0.0714017 | + | 0.997448i | \(0.477253\pi\) | |||||||
\(230\) | 391086. | 0.487475 | ||||||||
\(231\) | −50458.7 | − | 661012.i | −0.0622166 | − | 0.815040i | ||||
\(232\) | 136903. | 0.166992 | ||||||||
\(233\) | 460295. | + | 334424.i | 0.555452 | + | 0.403559i | 0.829792 | − | 0.558073i | \(-0.188459\pi\) |
−0.274340 | + | 0.961633i | \(0.588459\pi\) | |||||||
\(234\) | −211198. | + | 649999.i | −0.252144 | + | 0.776021i | ||||
\(235\) | 255808. | + | 787295.i | 0.302165 | + | 0.929968i | ||||
\(236\) | −1.68412e6 | + | 1.22359e6i | −1.96831 | + | 1.43006i | ||||
\(237\) | 86355.1 | − | 62740.7i | 0.0998659 | − | 0.0725568i | ||||
\(238\) | −424440. | − | 1.30629e6i | −0.485707 | − | 1.49485i | ||||
\(239\) | 221999. | − | 683244.i | 0.251395 | − | 0.773715i | −0.743123 | − | 0.669154i | \(-0.766656\pi\) |
0.994519 | − | 0.104560i | \(-0.0333436\pi\) | |||||||
\(240\) | 172736. | + | 125500.i | 0.193577 | + | 0.140642i | ||||
\(241\) | −38689.7 | −0.0429094 | −0.0214547 | − | 0.999770i | \(-0.506830\pi\) | ||||
−0.0214547 | + | 0.999770i | \(0.506830\pi\) | |||||||
\(242\) | −1.38203e6 | − | 712387.i | −1.51697 | − | 0.781947i | ||||
\(243\) | 59049.0 | 0.0641500 | ||||||||
\(244\) | 1.92232e6 | + | 1.39665e6i | 2.06705 | + | 1.50180i | ||||
\(245\) | −162106. | + | 498910.i | −0.172537 | + | 0.531016i | ||||
\(246\) | −222044. | − | 683382.i | −0.233939 | − | 0.719989i | ||||
\(247\) | −1.05905e6 | + | 769444.i | −1.10452 | + | 0.802481i | ||||
\(248\) | 1.72302e6 | − | 1.25184e6i | 1.77894 | − | 1.29247i | ||||
\(249\) | −26757.1 | − | 82349.8i | −0.0273489 | − | 0.0841713i | ||||
\(250\) | −489876. | + | 1.50768e6i | −0.495719 | + | 1.52567i | ||||
\(251\) | −770426. | − | 559748.i | −0.771875 | − | 0.560800i | 0.130655 | − | 0.991428i | \(-0.458292\pi\) |
−0.902530 | + | 0.430628i | \(0.858292\pi\) | |||||||
\(252\) | 909951. | 0.902644 | ||||||||
\(253\) | −39821.5 | − | 521663.i | −0.0391125 | − | 0.512376i | ||||
\(254\) | −2.88227e6 | −2.80318 | ||||||||
\(255\) | 175368. | + | 127413.i | 0.168889 | + | 0.122705i | ||||
\(256\) | −605981. | + | 1.86502e6i | −0.577908 | + | 1.77862i | ||||
\(257\) | 221193. | + | 680763.i | 0.208900 | + | 0.642930i | 0.999531 | + | 0.0306355i | \(0.00975312\pi\) |
−0.790630 | + | 0.612294i | \(0.790247\pi\) | |||||||
\(258\) | −122876. | + | 89274.9i | −0.114926 | + | 0.0834987i | ||||
\(259\) | −1.73589e6 | + | 1.26120e6i | −1.60795 | + | 1.16825i | ||||
\(260\) | −513633. | − | 1.58080e6i | −0.471216 | − | 1.45025i | ||||
\(261\) | −12153.6 | + | 37405.1i | −0.0110435 | + | 0.0339883i | ||||
\(262\) | −1.64970e6 | − | 1.19858e6i | −1.48475 | − | 1.07873i | ||||
\(263\) | 1.05112e6 | 0.937054 | 0.468527 | − | 0.883449i | \(-0.344785\pi\) | ||||
0.468527 | + | 0.883449i | \(0.344785\pi\) | |||||||
\(264\) | 534130. | − | 867037.i | 0.471669 | − | 0.765646i | ||||
\(265\) | 748095. | 0.654398 | ||||||||
\(266\) | 2.14724e6 | + | 1.56006e6i | 1.86070 | + | 1.35188i | ||||
\(267\) | 259550. | − | 798813.i | 0.222814 | − | 0.685752i | ||||
\(268\) | −1.33371e6 | − | 4.10475e6i | −1.13429 | − | 3.49100i | ||||
\(269\) | 922648. | − | 670343.i | 0.777419 | − | 0.564828i | −0.126784 | − | 0.991930i | \(-0.540466\pi\) |
0.904203 | + | 0.427102i | \(0.140466\pi\) | |||||||
\(270\) | −176924. | + | 128543.i | −0.147699 | + | 0.107310i | ||||
\(271\) | −107065. | − | 329512.i | −0.0885572 | − | 0.272551i | 0.896964 | − | 0.442104i | \(-0.145768\pi\) |
−0.985521 | + | 0.169553i | \(0.945768\pi\) | |||||||
\(272\) | 182874. | − | 562827.i | 0.149875 | − | 0.461267i | ||||
\(273\) | −1.16802e6 | − | 848613.i | −0.948511 | − | 0.689133i | ||||
\(274\) | 1.88123e6 | 1.51379 | ||||||||
\(275\) | 842198. | + | 204290.i | 0.671556 | + | 0.162898i | ||||
\(276\) | 718123. | 0.567448 | ||||||||
\(277\) | 398782. | + | 289732.i | 0.312275 | + | 0.226881i | 0.732872 | − | 0.680367i | \(-0.238179\pi\) |
−0.420597 | + | 0.907247i | \(0.638179\pi\) | |||||||
\(278\) | 350589. | − | 1.07900e6i | 0.272073 | − | 0.837356i | ||||
\(279\) | 189071. | + | 581899.i | 0.145416 | + | 0.447546i | ||||
\(280\) | −1.30095e6 | + | 945199.i | −0.991669 | + | 0.720490i | ||||
\(281\) | −250980. | + | 182348.i | −0.189615 | + | 0.137764i | −0.678543 | − | 0.734561i | \(-0.737388\pi\) |
0.488928 | + | 0.872324i | \(0.337388\pi\) | |||||||
\(282\) | 715308. | + | 2.20149e6i | 0.535637 | + | 1.64852i | ||||
\(283\) | 653623. | − | 2.01164e6i | 0.485133 | − | 1.49309i | −0.346654 | − | 0.937993i | \(-0.612682\pi\) |
0.831788 | − | 0.555094i | \(-0.187318\pi\) | |||||||
\(284\) | 543421. | + | 394818.i | 0.399798 | + | 0.290470i | ||||
\(285\) | −418872. | −0.305470 | ||||||||
\(286\) | −3.13141e6 | + | 1.28845e6i | −2.26373 | + | 0.931437i | ||||
\(287\) | 1.51790e6 | 1.08777 | ||||||||
\(288\) | −108229. | − | 78633.0i | −0.0768887 | − | 0.0558629i | ||||
\(289\) | −253100. | + | 778960.i | −0.178257 | + | 0.548619i | ||||
\(290\) | −45011.5 | − | 138531.i | −0.0314288 | − | 0.0967280i | ||||
\(291\) | −596756. | + | 433568.i | −0.413109 | + | 0.300141i | ||||
\(292\) | 1.78287e6 | − | 1.29533e6i | 1.22366 | − | 0.889043i | ||||
\(293\) | −424631. | − | 1.30688e6i | −0.288963 | − | 0.889337i | −0.985183 | − | 0.171508i | \(-0.945136\pi\) |
0.696219 | − | 0.717829i | \(-0.254864\pi\) | |||||||
\(294\) | −453292. | + | 1.39509e6i | −0.305851 | + | 0.941312i | ||||
\(295\) | 855007. | + | 621199.i | 0.572025 | + | 0.415600i | ||||
\(296\) | −3.29605e6 | −2.18658 | ||||||||
\(297\) | 189476. | + | 222908.i | 0.124642 | + | 0.146634i | ||||
\(298\) | −1.29600e6 | −0.845403 | ||||||||
\(299\) | −921786. | − | 669717.i | −0.596283 | − | 0.433225i | ||||
\(300\) | −367586. | + | 1.13131e6i | −0.235806 | + | 0.725737i | ||||
\(301\) | −99146.5 | − | 305142.i | −0.0630756 | − | 0.194127i | ||||
\(302\) | 1.02682e6 | − | 746027.i | 0.647853 | − | 0.470692i | ||||
\(303\) | 28442.6 | − | 20664.7i | 0.0177976 | − | 0.0129307i | ||||
\(304\) | 353377. | + | 1.08758e6i | 0.219308 | + | 0.674961i | ||||
\(305\) | 372775. | − | 1.14728e6i | 0.229455 | − | 0.706190i | ||||
\(306\) | 490377. | + | 356280.i | 0.299383 | + | 0.217514i | ||||
\(307\) | 32955.7 | 0.0199565 | 0.00997826 | − | 0.999950i | \(-0.496824\pi\) | ||||
0.00997826 | + | 0.999950i | \(0.496824\pi\) | |||||||
\(308\) | 2.91985e6 | + | 3.43503e6i | 1.75381 | + | 2.06326i | ||||
\(309\) | −111469. | −0.0664138 | ||||||||
\(310\) | −1.83323e6 | − | 1.33192e6i | −1.08346 | − | 0.787178i | ||||
\(311\) | 660495. | − | 2.03279e6i | 0.387229 | − | 1.19177i | −0.547621 | − | 0.836727i | \(-0.684466\pi\) |
0.934850 | − | 0.355043i | \(-0.115534\pi\) | |||||||
\(312\) | −685334. | − | 2.10924e6i | −0.398580 | − | 1.22670i | ||||
\(313\) | −119544. | + | 86853.7i | −0.0689710 | + | 0.0501104i | −0.621737 | − | 0.783226i | \(-0.713573\pi\) |
0.552765 | + | 0.833337i | \(0.313573\pi\) | |||||||
\(314\) | 1.68153e6 | − | 1.22170e6i | 0.962455 | − | 0.699265i | ||||
\(315\) | −142757. | − | 439360.i | −0.0810625 | − | 0.249485i | ||||
\(316\) | −224314. | + | 690368.i | −0.126369 | + | 0.388922i | ||||
\(317\) | 652164. | + | 473825.i | 0.364509 | + | 0.264832i | 0.754931 | − | 0.655805i | \(-0.227671\pi\) |
−0.390421 | + | 0.920636i | \(0.627671\pi\) | |||||||
\(318\) | 2.09188e6 | 1.16003 | ||||||||
\(319\) | −180201. | + | 74145.7i | −0.0991474 | + | 0.0407952i | ||||
\(320\) | 1.25461e6 | 0.684912 | ||||||||
\(321\) | −935379. | − | 679592.i | −0.506670 | − | 0.368117i | ||||
\(322\) | −713869. | + | 2.19706e6i | −0.383689 | + | 1.18087i | ||||
\(323\) | 358762. | + | 1.10416e6i | 0.191338 | + | 0.588877i | ||||
\(324\) | −324873. | + | 236034.i | −0.171930 | + | 0.124914i | ||||
\(325\) | 1.52689e6 | − | 1.10935e6i | 0.801861 | − | 0.582586i | ||||
\(326\) | −646094. | − | 1.98847e6i | −0.336707 | − | 1.03628i | ||||
\(327\) | 485400. | − | 1.49391e6i | 0.251033 | − | 0.772600i | ||||
\(328\) | 1.88638e6 | + | 1.37053e6i | 0.968152 | + | 0.703404i | ||||
\(329\) | −4.88985e6 | −2.49061 | ||||||||
\(330\) | −1.05296e6 | − | 255414.i | −0.532263 | − | 0.129110i | ||||
\(331\) | −99812.1 | −0.0500741 | −0.0250370 | − | 0.999687i | \(-0.507970\pi\) | ||||
−0.0250370 | + | 0.999687i | \(0.507970\pi\) | |||||||
\(332\) | 476384. | + | 346113.i | 0.237199 | + | 0.172335i | ||||
\(333\) | 292608. | − | 900555.i | 0.144602 | − | 0.445040i | ||||
\(334\) | −88317.7 | − | 271814.i | −0.0433193 | − | 0.133323i | ||||
\(335\) | −1.77270e6 | + | 1.28794e6i | −0.863023 | + | 0.627023i | ||||
\(336\) | −1.02034e6 | + | 741323.i | −0.493059 | + | 0.358228i | ||||
\(337\) | 544031. | + | 1.67435e6i | 0.260945 | + | 0.803106i | 0.992600 | + | 0.121431i | \(0.0387482\pi\) |
−0.731655 | + | 0.681675i | \(0.761252\pi\) | |||||||
\(338\) | −1.17111e6 | + | 3.60430e6i | −0.557578 | + | 1.71605i | ||||
\(339\) | 1.13220e6 | + | 822589.i | 0.535085 | + | 0.388762i | ||||
\(340\) | −1.47413e6 | −0.691576 | ||||||||
\(341\) | −1.58996e6 | + | 2.58093e6i | −0.740457 | + | 1.20196i | ||||
\(342\) | −1.17128e6 | −0.541496 | ||||||||
\(343\) | −11193.7 | − | 8132.69i | −0.00513734 | − | 0.00373249i | ||||
\(344\) | 152302. | − | 468738.i | 0.0693921 | − | 0.213567i | ||||
\(345\) | −112662. | − | 346738.i | −0.0509601 | − | 0.156839i | ||||
\(346\) | 2.51661e6 | − | 1.82843e6i | 1.13013 | − | 0.821084i | ||||
\(347\) | 523446. | − | 380306.i | 0.233372 | − | 0.169554i | −0.464954 | − | 0.885335i | \(-0.653929\pi\) |
0.698325 | + | 0.715781i | \(0.253929\pi\) | |||||||
\(348\) | −82651.4 | − | 254375.i | −0.0365849 | − | 0.112597i | ||||
\(349\) | −387109. | + | 1.19140e6i | −0.170126 | + | 0.523593i | −0.999377 | − | 0.0352824i | \(-0.988767\pi\) |
0.829252 | + | 0.558875i | \(0.188767\pi\) | |||||||
\(350\) | −3.09579e6 | − | 2.24922e6i | −1.35083 | − | 0.981436i | ||||
\(351\) | 637132. | 0.276034 | ||||||||
\(352\) | −50448.5 | − | 660878.i | −0.0217016 | − | 0.284292i | ||||
\(353\) | 2.02804e6 | 0.866242 | 0.433121 | − | 0.901336i | \(-0.357412\pi\) | ||||
0.433121 | + | 0.901336i | \(0.357412\pi\) | |||||||
\(354\) | 2.39083e6 | + | 1.73704e6i | 1.01401 | + | 0.736719i | ||||
\(355\) | 105380. | − | 324325.i | 0.0443799 | − | 0.136587i | ||||
\(356\) | 1.76508e6 | + | 5.43236e6i | 0.738142 | + | 2.27177i | ||||
\(357\) | −1.03589e6 | + | 752621.i | −0.430174 | + | 0.312540i | ||||
\(358\) | 3.75532e6 | − | 2.72840e6i | 1.54860 | − | 1.12512i | ||||
\(359\) | −1.22221e6 | − | 3.76157e6i | −0.500506 | − | 1.54040i | −0.808196 | − | 0.588913i | \(-0.799556\pi\) |
0.307690 | − | 0.951487i | \(-0.400444\pi\) | |||||||
\(360\) | 219293. | − | 674915.i | 0.0891803 | − | 0.274469i | ||||
\(361\) | 188233. | + | 136760.i | 0.0760201 | + | 0.0552319i | ||||
\(362\) | −471801. | −0.189229 | ||||||||
\(363\) | −233477. | + | 1.43053e6i | −0.0929989 | + | 0.569811i | ||||
\(364\) | 9.81827e6 | 3.88402 | ||||||||
\(365\) | −905139. | − | 657622.i | −0.355617 | − | 0.258371i | ||||
\(366\) | 1.04238e6 | − | 3.20812e6i | 0.406746 | − | 1.25184i | ||||
\(367\) | 912923. | + | 2.80969e6i | 0.353809 | + | 1.08891i | 0.956697 | + | 0.291086i | \(0.0940166\pi\) |
−0.602888 | + | 0.797826i | \(0.705983\pi\) | |||||||
\(368\) | −805245. | + | 585045.i | −0.309962 | + | 0.225201i | ||||
\(369\) | −541924. | + | 393731.i | −0.207192 | + | 0.150533i | ||||
\(370\) | 1.08368e6 | + | 3.33524e6i | 0.411527 | + | 1.26655i | ||||
\(371\) | −1.36554e6 | + | 4.20269e6i | −0.515073 | + | 1.58523i | ||||
\(372\) | −3.36622e6 | − | 2.44570e6i | −1.26120 | − | 0.916319i | ||||
\(373\) | −834745. | −0.310657 | −0.155329 | − | 0.987863i | \(-0.549644\pi\) | ||||
−0.155329 | + | 0.987863i | \(0.549644\pi\) | |||||||
\(374\) | 228578. | + | 2.99439e6i | 0.0844998 | + | 1.10695i | ||||
\(375\) | 1.47784e6 | 0.542686 | ||||||||
\(376\) | −6.07689e6 | − | 4.41512e6i | −2.21673 | − | 1.61055i | ||||
\(377\) | −131137. | + | 403597.i | −0.0475193 | + | 0.146249i | ||||
\(378\) | −399186. | − | 1.22857e6i | −0.143697 | − | 0.442252i | ||||
\(379\) | −265404. | + | 192827.i | −0.0949093 | + | 0.0689556i | −0.634228 | − | 0.773146i | \(-0.718682\pi\) |
0.539319 | + | 0.842102i | \(0.318682\pi\) | |||||||
\(380\) | 2.30453e6 | − | 1.67434e6i | 0.818698 | − | 0.594819i | ||||
\(381\) | 830310. | + | 2.55543e6i | 0.293041 | + | 0.901886i | ||||
\(382\) | 967105. | − | 2.97644e6i | 0.339090 | − | 1.04361i | ||||
\(383\) | 2.05286e6 | + | 1.49149e6i | 0.715092 | + | 0.519545i | 0.884813 | − | 0.465947i | \(-0.154286\pi\) |
−0.169720 | + | 0.985492i | \(0.554286\pi\) | |||||||
\(384\) | 3.03258e6 | 1.04950 | ||||||||
\(385\) | 1.20049e6 | − | 1.94872e6i | 0.412768 | − | 0.670034i | ||||
\(386\) | −1.77037e6 | −0.604779 | ||||||||
\(387\) | 114549. | + | 83224.7i | 0.0388789 | + | 0.0282472i | ||||
\(388\) | 1.55012e6 | − | 4.77078e6i | 0.522740 | − | 1.60883i | ||||
\(389\) | −1.46382e6 | − | 4.50516e6i | −0.490470 | − | 1.50951i | −0.823900 | − | 0.566736i | \(-0.808206\pi\) |
0.333430 | − | 0.942775i | \(-0.391794\pi\) | |||||||
\(390\) | −1.90899e6 | + | 1.38696e6i | −0.635540 | + | 0.461747i | ||||
\(391\) | −817516. | + | 593960.i | −0.270430 | + | 0.196479i | ||||
\(392\) | −1.47093e6 | − | 4.52705e6i | −0.483477 | − | 1.48799i | ||||
\(393\) | −587426. | + | 1.80791e6i | −0.191854 | + | 0.590467i | ||||
\(394\) | −5.03432e6 | − | 3.65765e6i | −1.63381 | − | 1.18703i | ||||
\(395\) | 368528. | 0.118844 | ||||||||
\(396\) | −1.93347e6 | − | 468998.i | −0.619584 | − | 0.150291i | ||||
\(397\) | −1.78322e6 | −0.567844 | −0.283922 | − | 0.958847i | \(-0.591636\pi\) | ||||
−0.283922 | + | 0.958847i | \(0.591636\pi\) | |||||||
\(398\) | −2.17592e6 | − | 1.58090e6i | −0.688549 | − | 0.500260i | ||||
\(399\) | 764588. | − | 2.35316e6i | 0.240434 | − | 0.739979i | ||||
\(400\) | −509483. | − | 1.56803e6i | −0.159214 | − | 0.490009i | ||||
\(401\) | −2.78812e6 | + | 2.02569e6i | −0.865866 | + | 0.629088i | −0.929474 | − | 0.368887i | \(-0.879739\pi\) |
0.0636086 | + | 0.997975i | \(0.479739\pi\) | |||||||
\(402\) | −4.95694e6 | + | 3.60143e6i | −1.52985 | + | 1.11150i | ||||
\(403\) | 2.04005e6 | + | 6.27863e6i | 0.625718 | + | 1.92576i | ||||
\(404\) | −73881.8 | + | 227385.i | −0.0225208 | + | 0.0693119i | ||||
\(405\) | 164934. | + | 119832.i | 0.0499658 | + | 0.0363023i | ||||
\(406\) | 860409. | 0.259054 | ||||||||
\(407\) | 4.33848e6 | − | 1.78511e6i | 1.29823 | − | 0.534170i | ||||
\(408\) | −1.96692e6 | −0.584973 | ||||||||
\(409\) | −2.36925e6 | − | 1.72136e6i | −0.700329 | − | 0.508819i | 0.179710 | − | 0.983720i | \(-0.442484\pi\) |
−0.880039 | + | 0.474901i | \(0.842484\pi\) | |||||||
\(410\) | 766619. | − | 2.35941e6i | 0.225227 | − | 0.693177i | ||||
\(411\) | −541935. | − | 1.66790e6i | −0.158249 | − | 0.487042i | ||||
\(412\) | 613276. | − | 445571.i | 0.177997 | − | 0.129322i | ||||
\(413\) | −5.05049e6 | + | 3.66940e6i | −1.45700 | + | 1.05857i | ||||
\(414\) | −315034. | − | 969574.i | −0.0903350 | − | 0.278023i | ||||
\(415\) | 92380.1 | − | 284317.i | 0.0263304 | − | 0.0810368i | ||||
\(416\) | −1.16778e6 | − | 848441.i | −0.330847 | − | 0.240375i | ||||
\(417\) | −1.05764e6 | −0.297851 | ||||||||
\(418\) | −3.75840e6 | − | 4.42154e6i | −1.05211 | − | 1.23775i | ||||
\(419\) | 1.18900e6 | 0.330861 | 0.165431 | − | 0.986221i | \(-0.447099\pi\) | ||||
0.165431 | + | 0.986221i | \(0.447099\pi\) | |||||||
\(420\) | 2.54165e6 | + | 1.84662e6i | 0.703060 | + | 0.510803i | ||||
\(421\) | −1.21647e6 | + | 3.74392e6i | −0.334501 | + | 1.02949i | 0.632466 | + | 0.774588i | \(0.282043\pi\) |
−0.966967 | + | 0.254900i | \(0.917957\pi\) | |||||||
\(422\) | 1.13668e6 | + | 3.49835e6i | 0.310712 | + | 0.956275i | ||||
\(423\) | 1.74579e6 | − | 1.26839e6i | 0.474395 | − | 0.344668i | ||||
\(424\) | −5.49171e6 | + | 3.98996e6i | −1.48352 | + | 1.07784i | ||||
\(425\) | −517247. | − | 1.59192e6i | −0.138908 | − | 0.427514i | ||||
\(426\) | 294670. | − | 906902.i | 0.0786706 | − | 0.242123i | ||||
\(427\) | 5.76483e6 | + | 4.18839e6i | 1.53009 | + | 1.11167i | ||||
\(428\) | 7.86273e6 | 2.07474 | ||||||||
\(429\) | 2.04443e6 | + | 2.40515e6i | 0.536326 | + | 0.630956i | ||||
\(430\) | −524385. | −0.136766 | ||||||||
\(431\) | −2.10479e6 | − | 1.52922e6i | −0.545777 | − | 0.396530i | 0.280449 | − | 0.959869i | \(-0.409517\pi\) |
−0.826226 | + | 0.563339i | \(0.809517\pi\) | |||||||
\(432\) | 171993. | − | 529339.i | 0.0443405 | − | 0.136466i | ||||
\(433\) | −1.81327e6 | − | 5.58066e6i | −0.464774 | − | 1.43043i | −0.859266 | − | 0.511528i | \(-0.829080\pi\) |
0.394492 | − | 0.918899i | \(-0.370920\pi\) | |||||||
\(434\) | 1.08288e7 | − | 7.86758e6i | 2.75966 | − | 2.00501i | ||||
\(435\) | −109855. | + | 79814.7i | −0.0278355 | + | 0.0202237i | ||||
\(436\) | 3.30099e6 | + | 1.01594e7i | 0.831625 | + | 2.55948i | ||||
\(437\) | 603405. | − | 1.85709e6i | 0.151149 | − | 0.465189i | ||||
\(438\) | −2.53101e6 | − | 1.83889e6i | −0.630390 | − | 0.458005i | ||||
\(439\) | −545501. | −0.135093 | −0.0675467 | − | 0.997716i | \(-0.521517\pi\) | ||||
−0.0675467 | + | 0.997716i | \(0.521517\pi\) | |||||||
\(440\) | 3.25145e6 | − | 1.33784e6i | 0.800654 | − | 0.329438i | ||||
\(441\) | 1.36747e6 | 0.334828 | ||||||||
\(442\) | 5.29112e6 | + | 3.84422e6i | 1.28823 | + | 0.935951i | ||||
\(443\) | −496538. | + | 1.52819e6i | −0.120211 | + | 0.369970i | −0.992998 | − | 0.118130i | \(-0.962310\pi\) |
0.872787 | + | 0.488100i | \(0.162310\pi\) | |||||||
\(444\) | 1.98989e6 | + | 6.12426e6i | 0.479041 | + | 1.47434i | ||||
\(445\) | 2.34604e6 | − | 1.70450e6i | 0.561612 | − | 0.408035i | ||||
\(446\) | 2.50758e6 | − | 1.82186e6i | 0.596922 | − | 0.433689i | ||||
\(447\) | 373344. | + | 1.14904e6i | 0.0883773 | + | 0.271997i | ||||
\(448\) | −2.29011e6 | + | 7.04823e6i | −0.539089 | + | 1.65915i | ||||
\(449\) | 765657. | + | 556282.i | 0.179233 | + | 0.130221i | 0.673785 | − | 0.738928i | \(-0.264668\pi\) |
−0.494551 | + | 0.869148i | \(0.664668\pi\) | |||||||
\(450\) | 1.68870e6 | 0.393116 | ||||||||
\(451\) | −3.22524e6 | − | 782339.i | −0.746656 | − | 0.181115i | ||||
\(452\) | −9.51717e6 | −2.19110 | ||||||||
\(453\) | −957231. | − | 695469.i | −0.219165 | − | 0.159233i | ||||
\(454\) | −3.98873e6 | + | 1.22760e7i | −0.908228 | + | 2.79524i | ||||
\(455\) | −1.54033e6 | − | 4.74065e6i | −0.348807 | − | 1.07352i | ||||
\(456\) | 3.07491e6 | − | 2.23405e6i | 0.692500 | − | 0.503131i | ||||
\(457\) | 4.59115e6 | − | 3.33566e6i | 1.02833 | − | 0.747123i | 0.0603531 | − | 0.998177i | \(-0.480777\pi\) |
0.967973 | + | 0.251054i | \(0.0807773\pi\) | |||||||
\(458\) | 3.04958e6 | + | 9.38565e6i | 0.679323 | + | 2.09074i | ||||
\(459\) | 174614. | − | 537406.i | 0.0386854 | − | 0.119061i | ||||
\(460\) | 2.00584e6 | + | 1.45733e6i | 0.441980 | + | 0.321117i | ||||
\(461\) | 6.88691e6 | 1.50929 | 0.754644 | − | 0.656135i | \(-0.227810\pi\) | ||||
0.754644 | + | 0.656135i | \(0.227810\pi\) | |||||||
\(462\) | 3.35689e6 | − | 5.44914e6i | 0.731700 | − | 1.18775i | ||||
\(463\) | −6.90209e6 | −1.49633 | −0.748167 | − | 0.663511i | \(-0.769066\pi\) | ||||
−0.748167 | + | 0.663511i | \(0.769066\pi\) | |||||||
\(464\) | 299914. | + | 217900.i | 0.0646699 | + | 0.0469854i | ||||
\(465\) | −652775. | + | 2.00904e6i | −0.140001 | + | 0.430879i | ||||
\(466\) | 1.69738e6 | + | 5.22401e6i | 0.362089 | + | 1.11440i | ||||
\(467\) | −2.10134e6 | + | 1.52671e6i | −0.445865 | + | 0.323940i | −0.787961 | − | 0.615725i | \(-0.788863\pi\) |
0.342096 | + | 0.939665i | \(0.388863\pi\) | |||||||
\(468\) | −3.50535e6 | + | 2.54678e6i | −0.739804 | + | 0.537499i | ||||
\(469\) | −3.99966e6 | − | 1.23097e7i | −0.839636 | − | 2.58413i | ||||
\(470\) | −2.46964e6 | + | 7.60076e6i | −0.515690 | + | 1.58713i | ||||
\(471\) | −1.56757e6 | − | 1.13891e6i | −0.325593 | − | 0.236557i | ||||
\(472\) | −9.58970e6 | −1.98130 | ||||||||
\(473\) | 53394.4 | + | 699469.i | 0.0109734 | + | 0.143753i | ||||
\(474\) | 1.03050e6 | 0.210671 | ||||||||
\(475\) | 2.61675e6 | + | 1.90118e6i | 0.532142 | + | 0.386624i | ||||
\(476\) | 2.69081e6 | − | 8.28147e6i | 0.544335 | − | 1.67529i | ||||
\(477\) | −602618. | − | 1.85467e6i | −0.121268 | − | 0.373224i | ||||
\(478\) | 5.61108e6 | − | 4.07669e6i | 1.12325 | − | 0.816089i | ||||
\(479\) | 2.60636e6 | − | 1.89363e6i | 0.519035 | − | 0.377101i | −0.297205 | − | 0.954814i | \(-0.596055\pi\) |
0.816240 | + | 0.577713i | \(0.196055\pi\) | |||||||
\(480\) | −142728. | − | 439271.i | −0.0282752 | − | 0.0870220i | ||||
\(481\) | 3.15721e6 | − | 9.71689e6i | 0.622215 | − | 1.91498i | ||||
\(482\) | −302185. | − | 219550.i | −0.0592454 | − | 0.0430443i | ||||
\(483\) | 2.15357e6 | 0.420041 | ||||||||
\(484\) | −4.43367e6 | − | 8.80371e6i | −0.860300 | − | 1.70825i | ||||
\(485\) | −2.54671e6 | −0.491614 | ||||||||
\(486\) | 461200. | + | 335082.i | 0.0885725 | + | 0.0643517i | ||||
\(487\) | −1.44102e6 | + | 4.43500e6i | −0.275326 | + | 0.847367i | 0.713807 | + | 0.700343i | \(0.246970\pi\) |
−0.989133 | + | 0.147024i | \(0.953030\pi\) | |||||||
\(488\) | 3.38252e6 | + | 1.04103e7i | 0.642970 | + | 1.97886i | ||||
\(489\) | −1.57686e6 | + | 1.14566e6i | −0.298210 | + | 0.216662i | ||||
\(490\) | −4.09726e6 | + | 2.97683e6i | −0.770909 | + | 0.560098i | ||||
\(491\) | 2.61875e6 | + | 8.05969e6i | 0.490219 | + | 1.50874i | 0.824277 | + | 0.566187i | \(0.191582\pi\) |
−0.334057 | + | 0.942553i | \(0.608418\pi\) | |||||||
\(492\) | 1.40769e6 | − | 4.33242e6i | 0.262177 | − | 0.806896i | ||||
\(493\) | 304485. | + | 221221.i | 0.0564219 | + | 0.0409929i | ||||
\(494\) | −1.26380e7 | −2.33002 | ||||||||
\(495\) | 76880.2 | + | 1.00713e6i | 0.0141027 | + | 0.184746i | ||||
\(496\) | 5.76709e6 | 1.05257 | ||||||||
\(497\) | 1.62966e6 | + | 1.18402e6i | 0.295941 | + | 0.215014i | ||||
\(498\) | 258320. | − | 795027.i | 0.0466750 | − | 0.143651i | ||||
\(499\) | −1.71648e6 | − | 5.28279e6i | −0.308594 | − | 0.949755i | −0.978312 | − | 0.207139i | \(-0.933585\pi\) |
0.669717 | − | 0.742616i | \(-0.266415\pi\) | |||||||
\(500\) | −8.13070e6 | + | 5.90730e6i | −1.45446 | + | 1.05673i | ||||
\(501\) | −215549. | + | 156606.i | −0.0383665 | + | 0.0278749i | ||||
\(502\) | −2.84103e6 | − | 8.74378e6i | −0.503172 | − | 1.54860i | ||||
\(503\) | 3.13560e6 | − | 9.65039e6i | 0.552587 | − | 1.70069i | −0.149644 | − | 0.988740i | \(-0.547813\pi\) |
0.702231 | − | 0.711949i | \(-0.252187\pi\) | |||||||
\(504\) | 3.39129e6 | + | 2.46391e6i | 0.594687 | + | 0.432065i | ||||
\(505\) | 121381. | 0.0211798 | ||||||||
\(506\) | 2.64923e6 | − | 4.30041e6i | 0.459984 | − | 0.746678i | ||||
\(507\) | 3.53295e6 | 0.610405 | ||||||||
\(508\) | −1.47829e7 | − | 1.07404e7i | −2.54156 | − | 1.84655i | ||||
\(509\) | 1.01503e6 | − | 3.12393e6i | 0.173653 | − | 0.534449i | −0.825916 | − | 0.563793i | \(-0.809342\pi\) |
0.999569 | + | 0.0293434i | \(0.00934165\pi\) | |||||||
\(510\) | 646689. | + | 1.99030e6i | 0.110096 | + | 0.338839i | ||||
\(511\) | 5.34662e6 | − | 3.88454e6i | 0.905789 | − | 0.658094i | ||||
\(512\) | −6.59306e6 | + | 4.79014e6i | −1.11151 | + | 0.807557i | ||||
\(513\) | 337416. | + | 1.03846e6i | 0.0566073 | + | 0.174219i | ||||
\(514\) | −2.13546e6 | + | 6.57227e6i | −0.356520 | + | 1.09726i | ||||
\(515\) | −311352. | − | 226211.i | −0.0517290 | − | 0.0375833i | ||||
\(516\) | −962891. | −0.159204 | ||||||||
\(517\) | 1.03900e7 | + | 2.52028e6i | 1.70958 | + | 0.414689i | ||||
\(518\) | −2.07150e7 | −3.39203 | ||||||||
\(519\) | −2.34606e6 | − | 1.70452e6i | −0.382315 | − | 0.277768i | ||||
\(520\) | 2.36615e6 | − | 7.28226e6i | 0.383737 | − | 1.18102i | ||||
\(521\) | 2.75439e6 | + | 8.47714e6i | 0.444561 | + | 1.36822i | 0.882965 | + | 0.469439i | \(0.155544\pi\) |
−0.438404 | + | 0.898778i | \(0.644456\pi\) | |||||||
\(522\) | −307186. | + | 223184.i | −0.0493429 | + | 0.0358497i | ||||
\(523\) | −7.19933e6 | + | 5.23062e6i | −1.15090 | + | 0.836179i | −0.988600 | − | 0.150563i | \(-0.951891\pi\) |
−0.162301 | + | 0.986741i | \(0.551891\pi\) | |||||||
\(524\) | −3.99482e6 | − | 1.22948e7i | −0.635578 | − | 1.95611i | ||||
\(525\) | −1.10235e6 | + | 3.39268e6i | −0.174550 | + | 0.537211i | ||||
\(526\) | 8.20977e6 | + | 5.96475e6i | 1.29380 | + | 0.940000i | ||||
\(527\) | 5.85497e6 | 0.918329 | ||||||||
\(528\) | 2.55012e6 | − | 1.04928e6i | 0.398086 | − | 0.163797i | ||||
\(529\) | −4.73677e6 | −0.735941 | ||||||||
\(530\) | 5.84297e6 | + | 4.24517e6i | 0.903533 | + | 0.656456i | ||||
\(531\) | 851328. | − | 2.62012e6i | 0.131027 | − | 0.403260i | ||||
\(532\) | 5.19962e6 | + | 1.60028e7i | 0.796512 | + | 2.45141i | ||||
\(533\) | −5.84730e6 | + | 4.24831e6i | −0.891532 | + | 0.647736i | ||||
\(534\) | 6.56018e6 | − | 4.76625e6i | 0.995549 | − | 0.723309i | ||||
\(535\) | −1.23354e6 | − | 3.79644e6i | −0.186324 | − | 0.573445i | ||||
\(536\) | 6.14401e6 | − | 1.89093e7i | 0.923719 | − | 2.84292i | ||||
\(537\) | −3.50082e6 | − | 2.54350e6i | −0.523883 | − | 0.380624i | ||||
\(538\) | 1.10103e7 | 1.63999 | ||||||||
\(539\) | 4.38794e6 | + | 5.16216e6i | 0.650563 | + | 0.765349i | ||||
\(540\) | −1.38642e6 | −0.204603 | ||||||||
\(541\) | −1.77269e6 | − | 1.28794e6i | −0.260400 | − | 0.189191i | 0.449924 | − | 0.893067i | \(-0.351451\pi\) |
−0.710323 | + | 0.703876i | \(0.751451\pi\) | |||||||
\(542\) | 1.03363e6 | − | 3.18120e6i | 0.151136 | − | 0.465149i | ||||
\(543\) | 135914. | + | 418300.i | 0.0197817 | + | 0.0608819i | ||||
\(544\) | −1.03568e6 | + | 752468.i | −0.150048 | + | 0.109016i | ||||
\(545\) | 4.38748e6 | − | 3.18769e6i | 0.632738 | − | 0.459711i | ||||
\(546\) | −4.30718e6 | − | 1.32561e7i | −0.618317 | − | 1.90298i | ||||
\(547\) | −780471. | + | 2.40204e6i | −0.111529 | + | 0.343251i | −0.991207 | − | 0.132318i | \(-0.957758\pi\) |
0.879678 | + | 0.475569i | \(0.157758\pi\) | |||||||
\(548\) | 9.64864e6 | + | 7.01014e6i | 1.37251 | + | 0.997185i | ||||
\(549\) | −3.14461e6 | −0.445283 | ||||||||
\(550\) | 5.41869e6 | + | 6.37477e6i | 0.763814 | + | 0.898582i | ||||
\(551\) | −727269. | −0.102051 | ||||||||
\(552\) | 2.67637e6 | + | 1.94449e6i | 0.373851 | + | 0.271618i | ||||
\(553\) | −672693. | + | 2.07034e6i | −0.0935414 | + | 0.287891i | ||||
\(554\) | 1.47055e6 | + | 4.52589e6i | 0.203566 | + | 0.626512i | ||||
\(555\) | 2.64485e6 | − | 1.92160e6i | 0.364476 | − | 0.264807i | ||||
\(556\) | 5.81889e6 | − | 4.22767e6i | 0.798276 | − | 0.579982i | ||||
\(557\) | 369749. | + | 1.13797e6i | 0.0504974 | + | 0.155415i | 0.973125 | − | 0.230276i | \(-0.0739630\pi\) |
−0.922628 | + | 0.385691i | \(0.873963\pi\) | |||||||
\(558\) | −1.82534e6 | + | 5.61781e6i | −0.248175 | + | 0.763804i | ||||
\(559\) | 1.23597e6 | + | 897986.i | 0.167293 | + | 0.121546i | ||||
\(560\) | −4.35441e6 | −0.586758 | ||||||||
\(561\) | 2.58899e6 | − | 1.06527e6i | 0.347314 | − | 0.142906i | ||||
\(562\) | −2.99503e6 | −0.400000 | ||||||||
\(563\) | −1.23837e6 | − | 899732.i | −0.164657 | − | 0.119631i | 0.502405 | − | 0.864632i | \(-0.332449\pi\) |
−0.667062 | + | 0.745002i | \(0.732449\pi\) | |||||||
\(564\) | −4.53482e6 | + | 1.39567e7i | −0.600291 | + | 1.84751i | ||||
\(565\) | 1.49309e6 | + | 4.59526e6i | 0.196773 | + | 0.605605i | ||||
\(566\) | 1.65205e7 | − | 1.20028e7i | 2.16761 | − | 1.57486i | ||||
\(567\) | −974259. | + | 707840.i | −0.127267 | + | 0.0924650i | ||||
\(568\) | 956203. | + | 2.94289e6i | 0.124360 | + | 0.382739i | ||||
\(569\) | −2.43303e6 | + | 7.48810e6i | −0.315041 | + | 0.969596i | 0.660697 | + | 0.750653i | \(0.270261\pi\) |
−0.975738 | + | 0.218943i | \(0.929739\pi\) | |||||||
\(570\) | −3.27159e6 | − | 2.37695e6i | −0.421766 | − | 0.306431i | ||||
\(571\) | −7.61662e6 | −0.977625 | −0.488812 | − | 0.872389i | \(-0.662570\pi\) | ||||
−0.488812 | + | 0.872389i | \(0.662570\pi\) | |||||||
\(572\) | −2.08620e7 | − | 5.06044e6i | −2.66603 | − | 0.646693i | ||||
\(573\) | −2.91752e6 | −0.371217 | ||||||||
\(574\) | 1.18555e7 | + | 8.61351e6i | 1.50189 | + | 1.09119i | ||||
\(575\) | −869962. | + | 2.67747e6i | −0.109731 | + | 0.337718i | ||||
\(576\) | −1.01064e6 | − | 3.11041e6i | −0.126922 | − | 0.390627i | ||||
\(577\) | −5.75982e6 | + | 4.18475e6i | −0.720226 | + | 0.523275i | −0.886457 | − | 0.462812i | \(-0.846841\pi\) |
0.166230 | + | 0.986087i | \(0.446841\pi\) | |||||||
\(578\) | −6.39714e6 | + | 4.64780e6i | −0.796465 | + | 0.578665i | ||||
\(579\) | 510000. | + | 1.56962e6i | 0.0632228 | + | 0.194580i | ||||
\(580\) | 285358. | − | 878242.i | 0.0352225 | − | 0.108404i | ||||
\(581\) | 1.42862e6 | + | 1.03796e6i | 0.175581 | + | 0.127567i | ||||
\(582\) | −7.12129e6 | −0.871467 | ||||||||
\(583\) | 5.06762e6 | − | 8.22611e6i | 0.617493 | − | 1.00236i | ||||
\(584\) | 1.01520e7 | 1.23174 | ||||||||
\(585\) | 1.77962e6 | + | 1.29297e6i | 0.215000 | + | 0.156206i | ||||
\(586\) | 4.09950e6 | − | 1.26170e7i | 0.493159 | − | 1.51779i | ||||
\(587\) | −2.70597e6 | − | 8.32811e6i | −0.324136 | − | 0.997588i | −0.971829 | − | 0.235687i | \(-0.924266\pi\) |
0.647693 | − | 0.761901i | \(-0.275734\pi\) | |||||||
\(588\) | −7.52350e6 | + | 5.46615e6i | −0.897381 | + | 0.651985i | ||||
\(589\) | −9.15315e6 | + | 6.65015e6i | −1.08713 | + | 0.789847i | ||||
\(590\) | 3.15293e6 | + | 9.70371e6i | 0.372893 | + | 1.14765i | ||||
\(591\) | −1.79262e6 | + | 5.51712e6i | −0.211115 | + | 0.649747i | ||||
\(592\) | −7.22065e6 | − | 5.24611e6i | −0.846783 | − | 0.615224i | ||||
\(593\) | 4.79253e6 | 0.559665 | 0.279833 | − | 0.960049i | \(-0.409721\pi\) | ||||
0.279833 | + | 0.960049i | \(0.409721\pi\) | |||||||
\(594\) | 214978. | + | 2.81622e6i | 0.0249993 | + | 0.327492i | ||||
\(595\) | −4.42077e6 | −0.511923 | ||||||||
\(596\) | −6.64705e6 | − | 4.82936e6i | −0.766502 | − | 0.556896i | ||||
\(597\) | −774801. | + | 2.38459e6i | −0.0889722 | + | 0.273828i | ||||
\(598\) | −3.39918e6 | − | 1.04616e7i | −0.388706 | − | 1.19631i | ||||
\(599\) | −8.93752e6 | + | 6.49349e6i | −1.01777 | + | 0.739454i | −0.965825 | − | 0.259196i | \(-0.916542\pi\) |
−0.0519464 | + | 0.998650i | \(0.516542\pi\) | |||||||
\(600\) | −4.43326e6 | + | 3.22095e6i | −0.502742 | + | 0.365263i | ||||
\(601\) | 716407. | + | 2.20487e6i | 0.0809047 | + | 0.248999i | 0.983325 | − | 0.181858i | \(-0.0582112\pi\) |
−0.902420 | + | 0.430857i | \(0.858211\pi\) | |||||||
\(602\) | 957187. | − | 2.94592e6i | 0.107648 | − | 0.331306i | ||||
\(603\) | 4.62101e6 | + | 3.35736e6i | 0.517540 | + | 0.376015i | ||||
\(604\) | 8.04642e6 | 0.897450 | ||||||||
\(605\) | −3.55520e6 | + | 3.52191e6i | −0.394890 | + | 0.391192i | ||||
\(606\) | 339415. | 0.0375447 | ||||||||
\(607\) | −7.29214e6 | − | 5.29805e6i | −0.803311 | − | 0.583639i | 0.108573 | − | 0.994088i | \(-0.465372\pi\) |
−0.911883 | + | 0.410449i | \(0.865372\pi\) | |||||||
\(608\) | 764433. | − | 2.35268e6i | 0.0838650 | − | 0.258110i | ||||
\(609\) | −247862. | − | 762842.i | −0.0270812 | − | 0.0833472i | ||||
\(610\) | 9.42197e6 | − | 6.84546e6i | 1.02522 | − | 0.744866i | ||||
\(611\) | 1.88369e7 | − | 1.36858e7i | 2.04129 | − | 1.48309i | ||||
\(612\) | 1.18747e6 | + | 3.65465e6i | 0.128157 | + | 0.394428i | ||||
\(613\) | 2.86967e6 | − | 8.83194e6i | 0.308447 | − | 0.949303i | −0.669921 | − | 0.742432i | \(-0.733672\pi\) |
0.978368 | − | 0.206871i | \(-0.0663279\pi\) | |||||||
\(614\) | 257400. | + | 187012.i | 0.0275541 | + | 0.0200193i | ||||
\(615\) | −2.31271e6 | −0.246566 | ||||||||
\(616\) | 1.58077e6 | + | 2.07082e7i | 0.167848 | + | 2.19882i | ||||
\(617\) | 1.35949e7 | 1.43768 | 0.718840 | − | 0.695176i | \(-0.244673\pi\) | ||||
0.718840 | + | 0.695176i | \(0.244673\pi\) | |||||||
\(618\) | −870626. | − | 632547.i | −0.0916981 | − | 0.0666226i | ||||
\(619\) | −4.47984e6 | + | 1.37875e7i | −0.469933 | + | 1.44630i | 0.382739 | + | 0.923857i | \(0.374981\pi\) |
−0.852671 | + | 0.522448i | \(0.825019\pi\) | |||||||
\(620\) | −4.43923e6 | − | 1.36625e7i | −0.463797 | − | 1.42742i | ||||
\(621\) | −768875. | + | 558620.i | −0.0800067 | + | 0.0581283i | ||||
\(622\) | 1.66941e7 | − | 1.21290e7i | 1.73017 | − | 1.25704i | ||||
\(623\) | 5.29328e6 | + | 1.62910e7i | 0.546393 | + | 1.68162i | ||||
\(624\) | 1.85578e6 | − | 5.71151e6i | 0.190794 | − | 0.587205i | ||||
\(625\) | −1.33168e6 | − | 967519.i | −0.136364 | − | 0.0990740i | ||||
\(626\) | −1.42656e6 | −0.145497 | ||||||||
\(627\) | −2.83745e6 | + | 4.60594e6i | −0.288243 | + | 0.467896i | ||||
\(628\) | 1.31769e7 | 1.33326 | ||||||||
\(629\) | −7.33069e6 | − | 5.32606e6i | −0.738785 | − | 0.536759i | ||||
\(630\) | 1.37821e6 | − | 4.24170e6i | 0.138345 | − | 0.425783i | ||||
\(631\) | −4.30637e6 | − | 1.32537e7i | −0.430565 | − | 1.32514i | −0.897564 | − | 0.440884i | \(-0.854665\pi\) |
0.467000 | − | 0.884258i | \(-0.345335\pi\) | |||||||
\(632\) | −2.70533e6 | + | 1.96554e6i | −0.269419 | + | 0.195744i | ||||
\(633\) | 2.77420e6 | − | 2.01558e6i | 0.275188 | − | 0.199936i | ||||
\(634\) | 2.40492e6 | + | 7.40159e6i | 0.237617 | + | 0.731311i | ||||
\(635\) | −2.86669e6 | + | 8.82275e6i | −0.282128 | + | 0.868300i | ||||
\(636\) | 1.07290e7 | + | 7.79510e6i | 1.05176 | + | 0.764151i | ||||
\(637\) | 1.47549e7 | 1.44075 | ||||||||
\(638\) | −1.82821e6 | − | 443464.i | −0.177817 | − | 0.0431327i | ||||
\(639\) | −888950. | −0.0861242 | ||||||||
\(640\) | 8.47052e6 | + | 6.15419e6i | 0.817448 | + | 0.593911i | ||||
\(641\) | −2.01764e6 | + | 6.20966e6i | −0.193954 | + | 0.596929i | 0.806033 | + | 0.591870i | \(0.201610\pi\) |
−0.999987 | + | 0.00505876i | \(0.998390\pi\) | |||||||
\(642\) | −3.44930e6 | − | 1.06159e7i | −0.330289 | − | 1.01652i | ||||
\(643\) | −1.59523e7 | + | 1.15900e7i | −1.52158 | + | 1.10549i | −0.560884 | + | 0.827894i | \(0.689539\pi\) |
−0.960697 | + | 0.277599i | \(0.910461\pi\) | |||||||
\(644\) | −1.18484e7 | + | 8.60839e6i | −1.12576 | + | 0.817913i | ||||
\(645\) | 151062. | + | 464922.i | 0.0142974 | + | 0.0440028i | ||||
\(646\) | −3.46359e6 | + | 1.06598e7i | −0.326547 | + | 1.00501i | ||||
\(647\) | −4.12442e6 | − | 2.99657e6i | −0.387349 | − | 0.281426i | 0.377019 | − | 0.926205i | \(-0.376949\pi\) |
−0.764368 | + | 0.644780i | \(0.776949\pi\) | |||||||
\(648\) | −1.84989e6 | −0.173064 | ||||||||
\(649\) | 1.26226e7 | − | 5.19370e6i | 1.17635 | − | 0.484022i | ||||
\(650\) | 1.82209e7 | 1.69155 | ||||||||
\(651\) | −1.00949e7 | − | 7.33439e6i | −0.933578 | − | 0.678284i | ||||
\(652\) | 4.09602e6 | − | 1.26063e7i | 0.377349 | − | 1.16136i | ||||
\(653\) | −4.11385e6 | − | 1.26611e7i | −0.377542 | − | 1.16196i | −0.941747 | − | 0.336321i | \(-0.890817\pi\) |
0.564205 | − | 0.825635i | \(-0.309183\pi\) | |||||||
\(654\) | 1.22686e7 | − | 8.91365e6i | 1.12163 | − | 0.814913i | ||||
\(655\) | −5.30968e6 | + | 3.85771e6i | −0.483577 | + | 0.351339i | ||||
\(656\) | 1.95109e6 | + | 6.00484e6i | 0.177018 | + | 0.544806i | ||||
\(657\) | −901244. | + | 2.77374e6i | −0.0814571 | + | 0.250699i | ||||
\(658\) | −3.81920e7 | − | 2.77481e7i | −3.43881 | − | 2.49844i | ||||
\(659\) | −1.07283e7 | −0.962315 | −0.481158 | − | 0.876634i | \(-0.659784\pi\) | ||||
−0.481158 | + | 0.876634i | \(0.659784\pi\) | |||||||
\(660\) | −4.44876e6 | − | 5.23370e6i | −0.397538 | − | 0.467680i | ||||
\(661\) | 7.60595e6 | 0.677096 | 0.338548 | − | 0.940949i | \(-0.390064\pi\) | ||||
0.338548 | + | 0.940949i | \(0.390064\pi\) | |||||||
\(662\) | −779579. | − | 566397.i | −0.0691377 | − | 0.0502315i | ||||
\(663\) | 1.88406e6 | − | 5.79855e6i | 0.166461 | − | 0.512313i | ||||
\(664\) | 838246. | + | 2.57985e6i | 0.0737821 | + | 0.227078i | ||||
\(665\) | 6.91103e6 | − | 5.02116e6i | 0.606023 | − | 0.440301i | ||||
\(666\) | 7.39573e6 | − | 5.37331e6i | 0.646093 | − | 0.469414i | ||||
\(667\) | −195610. | − | 602027.i | −0.0170246 | − | 0.0523964i | ||||
\(668\) | 559905. | − | 1.72321e6i | 0.0485482 | − | 0.149416i | ||||
\(669\) | −2.33764e6 | − | 1.69840e6i | −0.201936 | − | 0.146715i | ||||
\(670\) | −2.11542e7 | −1.82058 | ||||||||
\(671\) | −1.00904e7 | − | 1.18708e7i | −0.865174 | − | 1.01783i | ||||
\(672\) | 2.72829e6 | 0.233060 | ||||||||
\(673\) | 1.73127e7 | + | 1.25784e7i | 1.47342 | + | 1.07050i | 0.979605 | + | 0.200935i | \(0.0643979\pi\) |
0.493815 | + | 0.869567i | \(0.335602\pi\) | |||||||
\(674\) | −5.25222e6 | + | 1.61647e7i | −0.445341 | + | 1.37062i | ||||
\(675\) | −486472. | − | 1.49721e6i | −0.0410959 | − | 0.126480i | ||||
\(676\) | −1.94374e7 | + | 1.41221e7i | −1.63596 | + | 1.18859i | ||||
\(677\) | −1.64778e7 | + | 1.19718e7i | −1.38175 | + | 1.00390i | −0.385032 | + | 0.922903i | \(0.625810\pi\) |
−0.996715 | + | 0.0809943i | \(0.974190\pi\) | |||||||
\(678\) | 4.17509e6 | + | 1.28496e7i | 0.348812 | + | 1.07353i | ||||
\(679\) | 4.64863e6 | − | 1.43070e7i | 0.386947 | − | 1.19090i | ||||
\(680\) | −5.49394e6 | − | 3.99158e6i | −0.455629 | − | 0.331034i | ||||
\(681\) | 1.20330e7 | 0.994277 | ||||||||
\(682\) | −2.70642e7 | + | 1.11358e7i | −2.22809 | + | 0.916773i | ||||
\(683\) | 946068. | 0.0776016 | 0.0388008 | − | 0.999247i | \(-0.487646\pi\) | ||||
0.0388008 | + | 0.999247i | \(0.487646\pi\) | |||||||
\(684\) | −6.00738e6 | − | 4.36462e6i | −0.490959 | − | 0.356702i | ||||
\(685\) | 1.87106e6 | − | 5.75852e6i | 0.152356 | − | 0.468904i | ||||
\(686\) | −41277.9 | − | 127040.i | −0.00334894 | − | 0.0103070i | ||||
\(687\) | 7.44284e6 | − | 5.40754e6i | 0.601654 | − | 0.437127i | ||||
\(688\) | 1.07971e6 | − | 784454.i | 0.0869631 | − | 0.0631824i | ||||
\(689\) | −6.50218e6 | − | 2.00116e7i | −0.521808 | − | 1.60596i | ||||
\(690\) | 1.08767e6 | − | 3.34750e6i | 0.0869710 | − | 0.267669i | ||||
\(691\) | 1.29122e6 | + | 938125.i | 0.102874 | + | 0.0747421i | 0.638033 | − | 0.770009i | \(-0.279748\pi\) |
−0.535159 | + | 0.844751i | \(0.679748\pi\) | |||||||
\(692\) | 1.97209e7 | 1.56553 | ||||||||
\(693\) | −5.79827e6 | − | 1.40647e6i | −0.458633 | − | 0.111250i | ||||
\(694\) | 6.24645e6 | 0.492306 | ||||||||
\(695\) | −2.95418e6 | − | 2.14633e6i | −0.231993 | − | 0.168553i | ||||
\(696\) | 380749. | − | 1.17183e6i | 0.0297931 | − | 0.0916938i | ||||
\(697\) | 1.98083e6 | + | 6.09635e6i | 0.154442 | + | 0.475322i | ||||
\(698\) | −9.78426e6 | + | 7.10868e6i | −0.760133 | + | 0.552269i | ||||
\(699\) | 4.14265e6 | − | 3.00981e6i | 0.320690 | − | 0.232995i | ||||
\(700\) | −7.49657e6 | − | 2.30721e7i | −0.578253 | − | 1.77968i | ||||
\(701\) | −6.30010e6 | + | 1.93897e7i | −0.484231 | + | 1.49031i | 0.348861 | + | 0.937174i | \(0.386568\pi\) |
−0.833092 | + | 0.553135i | \(0.813432\pi\) | |||||||
\(702\) | 4.97630e6 | + | 3.61549e6i | 0.381122 | + | 0.276901i | ||||
\(703\) | 1.75096e7 | 1.33625 | ||||||||
\(704\) | 8.49877e6 | − | 1.37958e7i | 0.646286 | − | 1.04910i | ||||
\(705\) | 7.45030e6 | 0.564548 | ||||||||
\(706\) | 1.58399e7 | + | 1.15084e7i | 1.19603 | + | 0.868966i | ||||
\(707\) | −221563. | + | 681901.i | −0.0166705 | + | 0.0513066i | ||||
\(708\) | 5.78950e6 | + | 1.78182e7i | 0.434068 | + | 1.33592i | ||||
\(709\) | 4.01215e6 | − | 2.91500e6i | 0.299752 | − | 0.217783i | −0.427735 | − | 0.903904i | \(-0.640688\pi\) |
0.727487 | + | 0.686122i | \(0.240688\pi\) | |||||||
\(710\) | 2.66349e6 | − | 1.93514e6i | 0.198292 | − | 0.144068i | ||||
\(711\) | −296863. | − | 913649.i | −0.0220232 | − | 0.0677806i | ||||
\(712\) | −8.13119e6 | + | 2.50252e7i | −0.601110 | + | 1.85003i | ||||
\(713\) | −7.96681e6 | − | 5.78823e6i | −0.586895 | − | 0.426404i | ||||
\(714\) | −1.23617e7 | −0.907468 | ||||||||
\(715\) | 829529. | + | 1.08669e7i | 0.0606829 | + | 0.794950i | ||||
\(716\) | 2.94277e7 | 2.14523 | ||||||||
\(717\) | −5.23082e6 | − | 3.80041e6i | −0.379990 | − | 0.276079i | ||||
\(718\) | 1.17995e7 | − | 3.63152e7i | 0.854189 | − | 2.62892i | ||||
\(719\) | −2.03383e6 | − | 6.25950e6i | −0.146721 | − | 0.451562i | 0.850507 | − | 0.525964i | \(-0.176295\pi\) |
−0.997228 | + | 0.0744019i | \(0.976295\pi\) | |||||||
\(720\) | 1.55462e6 | − | 1.12950e6i | 0.111762 | − | 0.0811998i | ||||
\(721\) | 1.83915e6 | − | 1.33622e6i | 0.131758 | − | 0.0957280i | ||||
\(722\) | 694130. | + | 2.13631e6i | 0.0495562 | + | 0.152518i | ||||
\(723\) | −107602. | + | 331165.i | −0.00765551 | + | 0.0235612i | ||||
\(724\) | −2.41982e6 | − | 1.75810e6i | −0.171568 | − | 0.124652i | ||||
\(725\) | 1.04854e6 | 0.0740869 | ||||||||
\(726\) | −9.94131e6 | + | 9.84822e6i | −0.700007 | + | 0.693452i | ||||
\(727\) | −2.20512e7 | −1.54737 | −0.773687 | − | 0.633568i | \(-0.781590\pi\) | ||||
−0.773687 | + | 0.633568i | \(0.781590\pi\) | |||||||
\(728\) | 3.65916e7 | + | 2.65854e7i | 2.55890 | + | 1.85915i | ||||
\(729\) | 164224. | − | 505430.i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −3.33779e6 | − | 1.02727e7i | −0.231821 | − | 0.713470i | ||||
\(731\) | 1.09616e6 | − | 796408.i | 0.0758719 | − | 0.0551242i | ||||
\(732\) | 1.73009e7 | − | 1.25698e7i | 1.19341 | − | 0.867066i | ||||
\(733\) | −1.85938e6 | − | 5.72260e6i | −0.127823 | − | 0.393399i | 0.866582 | − | 0.499035i | \(-0.166312\pi\) |
−0.994405 | + | 0.105636i | \(0.966312\pi\) | |||||||
\(734\) | −8.81360e6 | + | 2.71255e7i | −0.603828 | + | 1.85839i | ||||
\(735\) | 3.81959e6 | + | 2.77509e6i | 0.260794 | + | 0.189478i | ||||
\(736\) | 2.15314e6 | 0.146513 | ||||||||
\(737\) | 2.15398e6 | + | 2.82172e7i | 0.146074 | + | 1.91358i | ||||
\(738\) | −6.46695e6 | −0.437078 | ||||||||
\(739\) | −5.36647e6 | − | 3.89897e6i | −0.361474 | − | 0.262626i | 0.392193 | − | 0.919883i | \(-0.371717\pi\) |
−0.753667 | + | 0.657257i | \(0.771717\pi\) | |||||||
\(740\) | −6.87021e6 | + | 2.11443e7i | −0.461201 | + | 1.41943i | ||||
\(741\) | 3.64069e6 | + | 1.12049e7i | 0.243578 | + | 0.749655i | ||||
\(742\) | −3.45142e7 | + | 2.50760e7i | −2.30138 | + | 1.67205i | ||||
\(743\) | 1.21202e7 | − | 8.80585e6i | 0.805449 | − | 0.585193i | −0.107059 | − | 0.994253i | \(-0.534143\pi\) |
0.912508 | + | 0.409060i | \(0.134143\pi\) | |||||||
\(744\) | −5.92320e6 | − | 1.82297e7i | −0.392305 | − | 1.20739i | ||||
\(745\) | −1.28899e6 | + | 3.96711e6i | −0.0850862 | + | 0.261868i | ||||
\(746\) | −6.51975e6 | − | 4.73687e6i | −0.428927 | − | 0.311634i | ||||
\(747\) | −779289. | −0.0510972 | ||||||||
\(748\) | −9.98583e6 | + | 1.62097e7i | −0.652574 | + | 1.05930i | ||||
\(749\) | 2.35795e7 | 1.53578 | ||||||||
\(750\) | 1.15426e7 | + | 8.38619e6i | 0.749291 | + | 0.544392i | ||||
\(751\) | 1.14047e6 | − | 3.51001e6i | 0.0737878 | − | 0.227096i | −0.907360 | − | 0.420354i | \(-0.861906\pi\) |
0.981148 | + | 0.193259i | \(0.0619057\pi\) | |||||||
\(752\) | −6.28537e6 | − | 1.93444e7i | −0.405309 | − | 1.24741i | ||||
\(753\) | −6.93384e6 | + | 5.03773e6i | −0.445642 | + | 0.323778i | ||||
\(754\) | −3.31450e6 | + | 2.40813e6i | −0.212320 | + | 0.154259i | ||||
\(755\) | −1.26235e6 | − | 3.88513e6i | −0.0805961 | − | 0.248049i | ||||
\(756\) | 2.53071e6 | − | 7.78873e6i | 0.161042 | − | 0.495635i | ||||
\(757\) | 1.80996e7 | + | 1.31501e7i | 1.14796 | + | 0.834045i | 0.988209 | − | 0.153112i | \(-0.0489295\pi\) |
0.159755 | + | 0.987157i | \(0.448929\pi\) | |||||||
\(758\) | −3.16715e6 | −0.200214 | ||||||||
\(759\) | −4.57593e6 | − | 1.10997e6i | −0.288320 | − | 0.0699372i | ||||
\(760\) | 1.31224e7 | 0.824100 | ||||||||
\(761\) | −1.07492e7 | − | 7.80972e6i | −0.672842 | − | 0.488848i | 0.198134 | − | 0.980175i | \(-0.436512\pi\) |
−0.870975 | + | 0.491327i | \(0.836512\pi\) | |||||||
\(762\) | −8.01603e6 | + | 2.46708e7i | −0.500118 | + | 1.53920i | ||||
\(763\) | 9.89929e6 | + | 3.04669e7i | 0.615592 | + | 1.89460i | ||||
\(764\) | 1.60515e7 | − | 1.16621e7i | 0.994907 | − | 0.722842i | ||||
\(765\) | 1.57831e6 | − | 1.14671e6i | 0.0975079 | − | 0.0708437i | ||||
\(766\) | 7.57013e6 | + | 2.32985e7i | 0.466156 | + | 1.43468i | ||||
\(767\) | 9.18574e6 | − | 2.82708e7i | 0.563801 | − | 1.73520i | ||||
\(768\) | 1.42783e7 | + | 1.03738e7i | 0.873522 | + | 0.634651i | ||||
\(769\) | −2.07446e6 | −0.126500 | −0.0632498 | − | 0.997998i | \(-0.520146\pi\) | ||||
−0.0632498 | + | 0.997998i | \(0.520146\pi\) | |||||||
\(770\) | 2.04346e7 | − | 8.40805e6i | 1.24205 | − | 0.511056i | ||||
\(771\) | 6.44217e6 | 0.390298 | ||||||||
\(772\) | −9.08008e6 | − | 6.59706e6i | −0.548335 | − | 0.398389i | ||||
\(773\) | 977545. | − | 3.00858e6i | 0.0588421 | − | 0.181097i | −0.917315 | − | 0.398162i | \(-0.869648\pi\) |
0.976157 | + | 0.217065i | \(0.0696482\pi\) | |||||||
\(774\) | 422411. | + | 1.30005e6i | 0.0253445 | + | 0.0780022i | ||||
\(775\) | 1.31966e7 | − | 9.58788e6i | 0.789237 | − | 0.573414i | ||||
\(776\) | 1.86952e7 | − | 1.35828e7i | 1.11449 | − | 0.809723i | ||||
\(777\) | 5.96747e6 | + | 1.83660e7i | 0.354599 | + | 1.09134i | ||||
\(778\) | 1.41321e7 | − | 4.34940e7i | 0.837060 | − | 2.57621i | ||||
\(779\) | −1.00210e7 | − | 7.28065e6i | −0.591651 | − | 0.429860i | ||||
\(780\) | −1.49594e7 | −0.880394 | ||||||||
\(781\) | −2.85246e6 | − | 3.35575e6i | −0.167337 | − | 0.196862i | ||||
\(782\) | −9.75569e6 | −0.570481 | ||||||||
\(783\) | 286368. | + | 208058.i | 0.0166924 | + | 0.0121278i | ||||
\(784\) | 3.98305e6 | − | 1.22586e7i | 0.231433 | − | 0.712279i | ||||
\(785\) | −2.06725e6 | − | 6.36233e6i | −0.119734 | − | 0.368504i | ||||
\(786\) | −1.48473e7 | + | 1.07872e7i | −0.857218 | + | 0.622806i | ||||
\(787\) | −4.52393e6 | + | 3.28683e6i | −0.260363 | + | 0.189165i | −0.710307 | − | 0.703892i | \(-0.751444\pi\) |
0.449944 | + | 0.893057i | \(0.351444\pi\) | |||||||
\(788\) | −1.21908e7 | − | 3.75195e7i | −0.699386 | − | 2.15249i | ||||
\(789\) | 2.92334e6 | − | 8.99711e6i | 0.167181 | − | 0.514530i | ||||
\(790\) | 2.87838e6 | + | 2.09126e6i | 0.164089 | + | 0.119218i | ||||
\(791\) | −2.85409e7 | −1.62191 | ||||||||
\(792\) | −5.93591e6 | − | 6.98326e6i | −0.336260 | − | 0.395590i | ||||
\(793\) | −3.39300e7 | −1.91603 | ||||||||
\(794\) | −1.39278e7 | − | 1.01191e7i | −0.784027 | − | 0.569629i | ||||
\(795\) | 2.08057e6 | − | 6.40333e6i | 0.116752 | − | 0.359325i | ||||
\(796\) | −5.26907e6 | − | 1.62165e7i | −0.294748 | − | 0.907142i | ||||
\(797\) | 1.84195e7 | − | 1.33825e7i | 1.02714 | − | 0.746264i | 0.0594088 | − | 0.998234i | \(-0.481078\pi\) |
0.967735 | + | 0.251970i | \(0.0810784\pi\) | |||||||
\(798\) | 1.93251e7 | − | 1.40405e7i | 1.07427 | − | 0.780506i | ||||
\(799\) | −6.38116e6 | − | 1.96392e7i | −0.353617 | − | 1.08832i | ||||
\(800\) | −1.10213e6 | + | 3.39199e6i | −0.0608844 | + | 0.187383i | ||||
\(801\) | −6.11560e6 | − | 4.44324e6i | −0.336789 | − | 0.244691i | ||||
\(802\) | −3.32716e7 | −1.82657 | ||||||||
\(803\) | −1.33627e7 | + | 5.49822e6i | −0.731316 | + | 0.300908i | ||||
\(804\) | −3.88439e7 | −2.11925 | ||||||||
\(805\) | 6.01530e6 | + | 4.37037e6i | 0.327165 | + | 0.237700i | ||||
\(806\) | −1.96952e7 | + | 6.06156e7i | −1.06788 | + | 3.28660i | ||||
\(807\) | −3.17178e6 | − | 9.76173e6i | −0.171443 | − | 0.527647i | ||||
\(808\) | −891049. | + | 647385.i | −0.0480146 | + | 0.0348846i | ||||
\(809\) | 3.50596e6 | − | 2.54723e6i | 0.188337 | − | 0.136835i | −0.489621 | − | 0.871935i | \(-0.662865\pi\) |
0.677958 | + | 0.735100i | \(0.262865\pi\) | |||||||
\(810\) | 608211. | + | 1.87188e6i | 0.0325718 | + | 0.100246i | ||||
\(811\) | −9.22401e6 | + | 2.83886e7i | −0.492456 | + | 1.51562i | 0.328427 | + | 0.944529i | \(0.393481\pi\) |
−0.820884 | + | 0.571096i | \(0.806519\pi\) | |||||||
\(812\) | 4.41296e6 | + | 3.20620e6i | 0.234876 | + | 0.170648i | ||||
\(813\) | −3.11822e6 | −0.165455 | ||||||||
\(814\) | 4.40154e7 | + | 1.06767e7i | 2.32833 | + | 0.564777i | ||||
\(815\) | −6.72940e6 | −0.354881 | ||||||||
\(816\) | −4.30892e6 | − | 3.13061e6i | −0.226539 | − | 0.164590i | ||||
\(817\) | −809072. | + | 2.49007e6i | −0.0424065 | + | 0.130514i | ||||
\(818\) | −8.73685e6 | − | 2.68892e7i | −0.456532 | − | 1.40506i | ||||
\(819\) | −1.05121e7 | + | 7.63752e6i | −0.547623 | + | 0.397871i | ||||
\(820\) | 1.27239e7 | − | 9.24449e6i | 0.660826 | − | 0.480118i | ||||
\(821\) | 1.40082e6 | + | 4.31128e6i | 0.0725312 | + | 0.223228i | 0.980750 | − | 0.195268i | \(-0.0625575\pi\) |
−0.908219 | + | 0.418496i | \(0.862558\pi\) | |||||||
\(822\) | 5.23198e6 | − | 1.61024e7i | 0.270076 | − | 0.831210i | ||||
\(823\) | 2.36151e7 | + | 1.71574e7i | 1.21532 | + | 0.882980i | 0.995703 | − | 0.0926062i | \(-0.0295198\pi\) |
0.219615 | + | 0.975587i | \(0.429520\pi\) | |||||||
\(824\) | 3.49210e6 | 0.179172 | ||||||||
\(825\) | 4.09090e6 | − | 6.64064e6i | 0.209259 | − | 0.339684i | ||||
\(826\) | −6.02692e7 | −3.07359 | ||||||||
\(827\) | 2.00777e7 | + | 1.45873e7i | 1.02082 | + | 0.741670i | 0.966451 | − | 0.256851i | \(-0.0826850\pi\) |
0.0543700 | + | 0.998521i | \(0.482685\pi\) | |||||||
\(828\) | 1.99721e6 | − | 6.14678e6i | 0.101239 | − | 0.311582i | ||||
\(829\) | 1.01248e7 | + | 3.11610e7i | 0.511683 | + | 1.57480i | 0.789238 | + | 0.614087i | \(0.210476\pi\) |
−0.277555 | + | 0.960710i | \(0.589524\pi\) | |||||||
\(830\) | 2.33493e6 | − | 1.69642e6i | 0.117646 | − | 0.0854750i | ||||
\(831\) | 3.58904e6 | − | 2.60759e6i | 0.180292 | − | 0.130990i | ||||
\(832\) | −1.09046e7 | − | 3.35610e7i | −0.546139 | − | 1.68084i | ||||
\(833\) | 4.04375e6 | − | 1.24454e7i | 0.201917 | − | 0.621435i | ||||
\(834\) | −8.26068e6 | − | 6.00174e6i | −0.411245 | − | 0.298787i | ||||
\(835\) | −919874. | −0.0456575 | ||||||||
\(836\) | −2.80020e6 | − | 3.66828e7i | −0.138571 | − | 1.81529i | ||||
\(837\) | 5.50661e6 | 0.271688 | ||||||||
\(838\) | 9.28663e6 | + | 6.74713e6i | 0.456823 | + | 0.331902i | ||||
\(839\) | 1.22220e6 | − | 3.76154e6i | 0.0599428 | − | 0.184485i | −0.916601 | − | 0.399803i | \(-0.869079\pi\) |
0.976544 | + | 0.215318i | \(0.0690787\pi\) | |||||||
\(840\) | 4.47228e6 | + | 1.37643e7i | 0.218691 | + | 0.673062i | ||||
\(841\) | 1.64031e7 | − | 1.19176e7i | 0.799718 | − | 0.581029i | ||||
\(842\) | −3.07466e7 | + | 2.23387e7i | −1.49457 | + | 1.08587i | ||||
\(843\) | 862793. | + | 2.65540e6i | 0.0418155 | + | 0.128695i | ||||
\(844\) | −7.20621e6 | + | 2.21784e7i | −0.348217 | + | 1.07170i | ||||
\(845\) | 9.86814e6 | + | 7.16963e6i | 0.475438 | + | 0.345426i | ||||
\(846\) | 2.08331e7 | 1.00075 | ||||||||
\(847\) | −1.32961e7 | − | 2.64013e7i | −0.636818 | − | 1.26450i | ||||
\(848\) | −1.83812e7 | −0.877778 | ||||||||
\(849\) | −1.54009e7 | − | 1.11894e7i | −0.733290 | − | 0.532766i | ||||
\(850\) | 4.99365e6 | − | 1.53689e7i | 0.237067 | − | 0.729616i | ||||
\(851\) | 4.70946e6 | + | 1.44942e7i | 0.222919 | + | 0.686075i | ||||
\(852\) | 4.89079e6 | − | 3.55336e6i | 0.230823 | − | 0.167703i | ||||
\(853\) | 6.20501e6 | − | 4.50820e6i | 0.291991 | − | 0.212144i | −0.432140 | − | 0.901807i | \(-0.642241\pi\) |
0.724131 | + | 0.689663i | \(0.242241\pi\) | |||||||
\(854\) | 2.12584e7 | + | 6.54266e7i | 0.997438 | + | 3.06980i | ||||
\(855\) | −1.16495e6 | + | 3.58534e6i | −0.0544993 | + | 0.167732i | ||||
\(856\) | 2.93036e7 | + | 2.12903e7i | 1.36690 | + | 0.993109i | ||||
\(857\) | 4.16106e6 | 0.193531 | 0.0967657 | − | 0.995307i | \(-0.469150\pi\) | ||||
0.0967657 | + | 0.995307i | \(0.469150\pi\) | |||||||
\(858\) | 2.31959e6 | + | 3.03867e7i | 0.107570 | + | 1.40918i | ||||
\(859\) | 2.65770e7 | 1.22892 | 0.614459 | − | 0.788949i | \(-0.289374\pi\) | ||||
0.614459 | + | 0.788949i | \(0.289374\pi\) | |||||||
\(860\) | −2.68952e6 | − | 1.95405e6i | −0.124002 | − | 0.0900928i | ||||
\(861\) | 4.22150e6 | − | 1.29924e7i | 0.194070 | − | 0.597287i | ||||
\(862\) | −7.76162e6 | − | 2.38878e7i | −0.355782 | − | 1.09499i | ||||
\(863\) | −1.24291e7 | + | 9.03024e6i | −0.568082 | + | 0.412736i | −0.834408 | − | 0.551147i | \(-0.814190\pi\) |
0.266326 | + | 0.963883i | \(0.414190\pi\) | |||||||
\(864\) | −974061. | + | 707697.i | −0.0443917 | + | 0.0322525i | ||||
\(865\) | −3.09389e6 | − | 9.52201e6i | −0.140593 | − | 0.432701i | ||||
\(866\) | 1.75058e7 | − | 5.38772e7i | 0.793207 | − | 2.44124i | ||||
\(867\) | 5.96361e6 | + | 4.33282e6i | 0.269440 | + | 0.195759i | ||||
\(868\) | 8.48573e7 | 3.82287 | ||||||||
\(869\) | 2.49642e6 | − | 4.05236e6i | 0.112142 | − | 0.182036i | ||||
\(870\) | −1.31094e6 | −0.0587199 | ||||||||
\(871\) | 4.98602e7 | + | 3.62256e7i | 2.22694 | + | 1.61797i | ||||
\(872\) | −1.52066e7 | + | 4.68012e7i | −0.677238 | + | 2.08433i | ||||
\(873\) | 2.05146e6 | + | 6.31376e6i | 0.0911021 | + | 0.280383i | ||||
\(874\) | 1.52512e7 | − | 1.10806e7i | 0.675344 | − | 0.490666i | ||||
\(875\) | −2.43831e7 | + | 1.77153e7i | −1.07663 | + | 0.782220i | ||||
\(876\) | −6.12895e6 | − | 1.88630e7i | −0.269852 | − | 0.830519i | ||||
\(877\) | 8.25391e6 | − | 2.54029e7i | 0.362377 | − | 1.11528i | −0.589230 | − | 0.807965i | \(-0.700569\pi\) |
0.951607 | − | 0.307317i | \(-0.0994311\pi\) | |||||||
\(878\) | −4.26061e6 | − | 3.09552e6i | −0.186525 | − | 0.135518i | ||||
\(879\) | −1.23672e7 | −0.539883 | ||||||||
\(880\) | 9.25229e6 | + | 2.24431e6i | 0.402757 | + | 0.0976957i | ||||
\(881\) | −2.41492e7 | −1.04825 | −0.524123 | − | 0.851643i | \(-0.675607\pi\) | ||||
−0.524123 | + | 0.851643i | \(0.675607\pi\) | |||||||
\(882\) | 1.06806e7 | + | 7.75991e6i | 0.462300 | + | 0.335881i | ||||
\(883\) | 8.47847e6 | − | 2.60941e7i | 0.365945 | − | 1.12626i | −0.583442 | − | 0.812155i | \(-0.698294\pi\) |
0.949387 | − | 0.314108i | \(-0.101706\pi\) | |||||||
\(884\) | 1.28127e7 | + | 3.94333e7i | 0.551453 | + | 1.69720i | ||||
\(885\) | 7.69506e6 | − | 5.59079e6i | 0.330259 | − | 0.239947i | ||||
\(886\) | −1.25501e7 | + | 9.11818e6i | −0.537109 | + | 0.390233i | ||||
\(887\) | −6.92411e6 | − | 2.13102e7i | −0.295498 | − | 0.909449i | −0.983054 | − | 0.183318i | \(-0.941316\pi\) |
0.687556 | − | 0.726132i | \(-0.258684\pi\) | |||||||
\(888\) | −9.16683e6 | + | 2.82126e7i | −0.390110 | + | 1.20063i | ||||
\(889\) | −4.43322e7 | − | 3.22092e7i | −1.88133 | − | 1.36687i | ||||
\(890\) | 2.79961e7 | 1.18474 | ||||||||
\(891\) | 2.43494e6 | − | 1.00188e6i | 0.102753 | − | 0.0422788i | ||||
\(892\) | 1.96501e7 | 0.826898 | ||||||||
\(893\) | 3.22822e7 | + | 2.34544e7i | 1.35467 | + | 0.984226i | ||||
\(894\) | −3.60437e6 | + | 1.10931e7i | −0.150829 | + | 0.464204i | ||||
\(895\) | −4.61674e6 | − | 1.42089e7i | −0.192654 | − | 0.592927i | ||||
\(896\) | −5.00350e7 | + | 3.63526e7i | −2.08211 | + | 1.51274i | ||||
\(897\) | −8.29607e6 | + | 6.02745e6i | −0.344264 | + | 0.250122i | ||||
\(898\) | 2.82344e6 | + | 8.68965e6i | 0.116839 | + | 0.359593i | ||||
\(899\) | −1.13339e6 | + | 3.48820e6i | −0.0467712 | + | 0.143947i | ||||
\(900\) | 8.66117e6 | + | 6.29271e6i | 0.356427 | + | 0.258959i | ||||
\(901\) | −1.86613e7 | −0.765827 | ||||||||
\(902\) | −2.07511e7 | − | 2.44125e7i | −0.849231 | − | 0.999070i | ||||
\(903\) | −2.88760e6 | −0.117847 | ||||||||
\(904\) | −3.54695e7 | − | 2.57701e7i | −1.44356 | − | 1.04880i | ||||
\(905\) | −469250. | + | 1.44420e6i | −0.0190451 | + | 0.0586147i | ||||
\(906\) | −3.52989e6 | − | 1.08639e7i | −0.142870 | − | 0.439708i | ||||
\(907\) | −1.19018e7 | + | 8.64715e6i | −0.480390 | + | 0.349023i | −0.801477 | − | 0.598026i | \(-0.795952\pi\) |
0.321087 | + | 0.947050i | \(0.395952\pi\) | |||||||
\(908\) | −6.62029e7 | + | 4.80992e7i | −2.66478 | + | 1.93608i | ||||
\(909\) | −97776.8 | − | 300926.i | −0.00392488 | − | 0.0120795i | ||||
\(910\) | 1.48708e7 | − | 4.57675e7i | 0.595291 | − | 1.83212i | ||||
\(911\) | 6.93748e6 | + | 5.04038e6i | 0.276953 | + | 0.201218i | 0.717587 | − | 0.696469i | \(-0.245246\pi\) |
−0.440634 | + | 0.897687i | \(0.645246\pi\) | |||||||
\(912\) | 1.02920e7 | 0.409743 | ||||||||
\(913\) | −2.50058e6 | − | 2.94179e6i | −0.0992805 | − | 0.116798i | ||||
\(914\) | 5.47877e7 | 2.16929 | ||||||||
\(915\) | −8.78345e6 | − | 6.38155e6i | −0.346826 | − | 0.251984i | ||||
\(916\) | −1.93333e7 | + | 5.95019e7i | −0.761322 | + | 2.34311i | ||||
\(917\) | −1.19800e7 | − | 3.68707e7i | −0.470472 | − | 1.44796i | ||||
\(918\) | 4.41340e6 | − | 3.20652e6i | 0.172849 | − | 0.125582i | ||||
\(919\) | −1.57124e7 | + | 1.14157e7i | −0.613695 | + | 0.445876i | −0.850714 | − | 0.525630i | \(-0.823830\pi\) |
0.237019 | + | 0.971505i | \(0.423830\pi\) | |||||||
\(920\) | 3.52948e6 | + | 1.08626e7i | 0.137480 | + | 0.423121i | ||||
\(921\) | 91654.9 | − | 282085.i | 0.00356046 | − | 0.0109580i | ||||
\(922\) | 5.37900e7 | + | 3.90807e7i | 2.08389 | + | 1.51403i | ||||
\(923\) | −9.59167e6 | −0.370587 | ||||||||
\(924\) | 3.75227e7 | − | 1.54391e7i | 1.44582 | − | 0.594898i | ||||
\(925\) | −2.52445e7 | −0.970090 | ||||||||
\(926\) | −5.39086e7 | − | 3.91669e7i | −2.06600 | − | 1.50104i | ||||
\(927\) | −310013. | + | 954121.i | −0.0118490 | + | 0.0364673i | ||||
\(928\) | −247812. | − | 762687.i | −0.00944610 | − | 0.0290721i | ||||
\(929\) | 7.44492e6 | − | 5.40905e6i | 0.283022 | − | 0.205628i | −0.437212 | − | 0.899358i | \(-0.644034\pi\) |
0.720235 | + | 0.693731i | \(0.244034\pi\) | |||||||
\(930\) | −1.64990e7 | + | 1.19872e7i | −0.625534 | + | 0.454477i | ||||
\(931\) | 7.81398e6 | + | 2.40490e7i | 0.295460 | + | 0.909331i | ||||
\(932\) | −1.07609e7 | + | 3.31185e7i | −0.405796 | + | 1.24891i | ||||
\(933\) | −1.55628e7 | − | 1.13070e7i | −0.585306 | − | 0.425250i | ||||
\(934\) | −2.50759e7 | −0.940568 | ||||||||
\(935\) | 9.39329e6 | + | 2.27851e6i | 0.351389 | + | 0.0852357i | ||||
\(936\) | −1.99601e7 | −0.744685 | ||||||||
\(937\) | −8.85005e6 | − | 6.42994e6i | −0.329304 | − | 0.239253i | 0.410831 | − | 0.911711i | \(-0.365239\pi\) |
−0.740135 | + | 0.672458i | \(0.765239\pi\) | |||||||
\(938\) | 3.86138e7 | − | 1.18841e8i | 1.43296 | − | 4.41021i | ||||
\(939\) | 410955. | + | 1.26479e6i | 0.0152101 | + | 0.0468117i | ||||
\(940\) | −4.09897e7 | + | 2.97808e7i | −1.51306 | + | 1.09930i | ||||
\(941\) | 7.95641e6 | − | 5.78067e6i | 0.292916 | − | 0.212816i | −0.431615 | − | 0.902058i | \(-0.642056\pi\) |
0.724531 | + | 0.689242i | \(0.242056\pi\) | |||||||
\(942\) | −5.78059e6 | − | 1.77908e7i | −0.212249 | − | 0.653234i | ||||
\(943\) | 3.33156e6 | − | 1.02535e7i | 0.122003 | − | 0.375485i | ||||
\(944\) | −2.10081e7 | − | 1.52633e7i | −0.767286 | − | 0.557466i | ||||
\(945\) | −4.15773e6 | −0.151453 | ||||||||
\(946\) | −3.55220e6 | + | 5.76618e6i | −0.129053 | + | 0.209488i | ||||
\(947\) | 3.36186e7 | 1.21816 | 0.609080 | − | 0.793109i | \(-0.291539\pi\) | ||||
0.609080 | + | 0.793109i | \(0.291539\pi\) | |||||||
\(948\) | 5.28536e6 | + | 3.84004e6i | 0.191009 | + | 0.138776i | ||||
\(949\) | −9.72432e6 | + | 2.99284e7i | −0.350505 | + | 1.07874i | ||||
\(950\) | 9.64952e6 | + | 2.96982e7i | 0.346894 | + | 1.06763i | ||||
\(951\) | 5.86948e6 | − | 4.26442e6i | 0.210450 | − | 0.152901i | ||||
\(952\) | 3.24525e7 | − | 2.35781e7i | 1.16053 | − | 0.843173i | ||||
\(953\) | 6.12525e6 | + | 1.88516e7i | 0.218470 | + | 0.672381i | 0.998889 | + | 0.0471242i | \(0.0150056\pi\) |
−0.780419 | + | 0.625257i | \(0.784994\pi\) | |||||||
\(954\) | 5.81783e6 | − | 1.79054e7i | 0.206962 | − | 0.636963i | ||||
\(955\) | −8.14914e6 | − | 5.92070e6i | −0.289137 | − | 0.210070i | ||||
\(956\) | 4.39699e7 | 1.55600 | ||||||||
\(957\) | 133484. | + | 1.74865e6i | 0.00471139 | + | 0.0617194i | ||||
\(958\) | 3.11026e7 | 1.09492 | ||||||||
\(959\) | 2.89352e7 | + | 2.10226e7i | 1.01597 | + | 0.738143i | ||||
\(960\) | 3.48927e6 | − | 1.07389e7i | 0.122196 | − | 0.376080i | ||||
\(961\) | 8.78485e6 | + | 2.70370e7i | 0.306850 | + | 0.944387i | ||||
\(962\) | 7.97991e7 | − | 5.79774e7i | 2.78010 | − | 2.01986i | ||||
\(963\) | −8.41841e6 | + | 6.11633e6i | −0.292526 | + | 0.212532i | ||||
\(964\) | −731752. | − | 2.25210e6i | −0.0253613 | − | 0.0780540i | ||||
\(965\) | −1.76080e6 | + | 5.41919e6i | −0.0608684 | + | 0.187334i | ||||
\(966\) | 1.68204e7 | + | 1.22207e7i | 0.579954 | + | 0.421361i | ||||
\(967\) | −2.76797e7 | −0.951907 | −0.475953 | − | 0.879470i | \(-0.657897\pi\) | ||||
−0.475953 | + | 0.879470i | \(0.657897\pi\) | |||||||
\(968\) | 7.31438e6 | − | 4.48157e7i | 0.250893 | − | 1.53724i | ||||
\(969\) | 1.04488e7 | 0.357485 | ||||||||
\(970\) | −1.98910e7 | − | 1.44516e7i | −0.678776 | − | 0.493160i | ||||
\(971\) | 8.53166e6 | − | 2.62577e7i | 0.290393 | − | 0.893736i | −0.694338 | − | 0.719649i | \(-0.744303\pi\) |
0.984730 | − | 0.174087i | \(-0.0556974\pi\) | |||||||
\(972\) | 1.11681e6 | + | 3.43720e6i | 0.0379154 | + | 0.116692i | ||||
\(973\) | 1.74502e7 | − | 1.26783e7i | 0.590906 | − | 0.429318i | ||||
\(974\) | −3.64221e7 | + | 2.64622e7i | −1.23018 | + | 0.893776i | ||||
\(975\) | −5.24898e6 | − | 1.61547e7i | −0.176833 | − | 0.544236i | ||||
\(976\) | −9.15935e6 | + | 2.81896e7i | −0.307780 | + | 0.947249i | ||||
\(977\) | 6.59288e6 | + | 4.79001e6i | 0.220973 | + | 0.160546i | 0.692764 | − | 0.721164i | \(-0.256393\pi\) |
−0.471792 | + | 0.881710i | \(0.656393\pi\) | |||||||
\(978\) | −1.88172e7 | −0.629084 | ||||||||
\(979\) | −2.85064e6 | − | 3.73436e7i | −0.0950575 | − | 1.24526i | ||||
\(980\) | −3.21072e7 | −1.06792 | ||||||||
\(981\) | −1.14372e7 | − | 8.30958e6i | −0.379442 | − | 0.275681i | ||||
\(982\) | −2.52821e7 | + | 7.78104e7i | −0.836633 | + | 2.57489i | ||||
\(983\) | 1.58234e7 | + | 4.86993e7i | 0.522294 | + | 1.60746i | 0.769605 | + | 0.638521i | \(0.220453\pi\) |
−0.247310 | + | 0.968936i | \(0.579547\pi\) | |||||||
\(984\) | 1.69774e7 | − | 1.23348e7i | 0.558963 | − | 0.406110i | ||||
\(985\) | −1.62033e7 | + | 1.17724e7i | −0.532125 | + | 0.386611i | ||||
\(986\) | 1.12282e6 | + | 3.45568e6i | 0.0367804 | + | 0.113199i | ||||
\(987\) | −1.35994e7 | + | 4.18547e7i | −0.444352 | + | 1.36758i | ||||
\(988\) | −6.48190e7 | − | 4.70938e7i | −2.11256 | − | 1.53487i | ||||
\(989\) | −2.27887e6 | −0.0740846 | ||||||||
\(990\) | −5.11465e6 | + | 8.30246e6i | −0.165855 | + | 0.269227i | ||||
\(991\) | 5.95505e6 | 0.192620 | 0.0963100 | − | 0.995351i | \(-0.469296\pi\) | ||||
0.0963100 | + | 0.995351i | \(0.469296\pi\) | |||||||
\(992\) | −1.00929e7 | − | 7.33291e6i | −0.325639 | − | 0.236590i | ||||
\(993\) | −277593. | + | 854342.i | −0.00893377 | + | 0.0274953i | ||||
\(994\) | 6.00953e6 | + | 1.84954e7i | 0.192919 | + | 0.593743i | ||||
\(995\) | −7.00335e6 | + | 5.08823e6i | −0.224258 | + | 0.162933i | ||||
\(996\) | 4.28746e6 | − | 3.11502e6i | 0.136947 | − | 0.0994976i | ||||
\(997\) | 1.20516e7 | + | 3.70909e7i | 0.383978 | + | 1.18176i | 0.937219 | + | 0.348741i | \(0.113391\pi\) |
−0.553241 | + | 0.833021i | \(0.686609\pi\) | |||||||
\(998\) | 1.65714e7 | − | 5.10014e7i | 0.526662 | − | 1.62090i | ||||
\(999\) | −6.89452e6 | − | 5.00916e6i | −0.218570 | − | 0.158800i |
(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.e.a.4.5 | ✓ | 20 | |
3.2 | odd | 2 | 99.6.f.c.37.1 | 20 | |||
11.3 | even | 5 | inner | 33.6.e.a.25.5 | yes | 20 | |
11.5 | even | 5 | 363.6.a.u.1.1 | 10 | |||
11.6 | odd | 10 | 363.6.a.q.1.10 | 10 | |||
33.5 | odd | 10 | 1089.6.a.bh.1.10 | 10 | |||
33.14 | odd | 10 | 99.6.f.c.91.1 | 20 | |||
33.17 | even | 10 | 1089.6.a.bl.1.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.e.a.4.5 | ✓ | 20 | 1.1 | even | 1 | trivial | |
33.6.e.a.25.5 | yes | 20 | 11.3 | even | 5 | inner | |
99.6.f.c.37.1 | 20 | 3.2 | odd | 2 | |||
99.6.f.c.91.1 | 20 | 33.14 | odd | 10 | |||
363.6.a.q.1.10 | 10 | 11.6 | odd | 10 | |||
363.6.a.u.1.1 | 10 | 11.5 | even | 5 | |||
1089.6.a.bh.1.10 | 10 | 33.5 | odd | 10 | |||
1089.6.a.bl.1.1 | 10 | 33.17 | even | 10 |