Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), 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: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 9.2 | ||
Character | \(\chi\) | \(=\) | 17.9 |
Dual form | 17.10.d.a.2.2 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −24.8024 | + | 24.8024i | −1.09612 | + | 1.09612i | −0.101263 | + | 0.994860i | \(0.532288\pi\) |
−0.994860 | + | 0.101263i | \(0.967712\pi\) | |||||||
\(3\) | 109.545 | + | 45.3751i | 0.780814 | + | 0.323424i | 0.737244 | − | 0.675627i | \(-0.236127\pi\) |
0.0435700 | + | 0.999050i | \(0.486127\pi\) | |||||||
\(4\) | − | 718.321i | − | 1.40297i | ||||||
\(5\) | −625.855 | + | 1510.95i | −0.447825 | + | 1.08115i | 0.525310 | + | 0.850911i | \(0.323949\pi\) |
−0.973135 | + | 0.230235i | \(0.926051\pi\) | |||||||
\(6\) | −3842.40 | + | 1591.57i | −1.21038 | + | 0.501356i | ||||
\(7\) | 4127.23 | + | 9964.00i | 0.649706 | + | 1.56853i | 0.813199 | + | 0.581985i | \(0.197724\pi\) |
−0.163493 | + | 0.986544i | \(0.552276\pi\) | |||||||
\(8\) | 5117.27 | + | 5117.27i | 0.441706 | + | 0.441706i | ||||
\(9\) | −3976.74 | − | 3976.74i | −0.202039 | − | 0.202039i | ||||
\(10\) | −21952.5 | − | 52997.9i | −0.694197 | − | 1.67594i | ||||
\(11\) | −19583.8 | + | 8111.87i | −0.403301 | + | 0.167053i | −0.575107 | − | 0.818078i | \(-0.695040\pi\) |
0.171806 | + | 0.985131i | \(0.445040\pi\) | |||||||
\(12\) | 32593.9 | − | 78688.6i | 0.453754 | − | 1.09546i | ||||
\(13\) | − | 71034.1i | − | 0.689798i | −0.938640 | − | 0.344899i | \(-0.887913\pi\) | ||
0.938640 | − | 0.344899i | \(-0.112087\pi\) | |||||||
\(14\) | −349497. | − | 144766.i | −2.43146 | − | 1.00714i | ||||
\(15\) | −137119. | + | 137119.i | −0.699337 | + | 0.699337i | ||||
\(16\) | 113939. | 0.434642 | ||||||||
\(17\) | 44144.3 | − | 341525.i | 0.128190 | − | 0.991750i | ||||
\(18\) | 197266. | 0.442920 | ||||||||
\(19\) | −169075. | + | 169075.i | −0.297638 | + | 0.297638i | −0.840088 | − | 0.542450i | \(-0.817497\pi\) |
0.542450 | + | 0.840088i | \(0.317497\pi\) | |||||||
\(20\) | 1.08535e6 | + | 449565.i | 1.51682 | + | 0.628286i | ||||
\(21\) | 1.27878e6i | 1.43486i | ||||||||
\(22\) | 284531. | − | 686920.i | 0.258957 | − | 0.625178i | ||||
\(23\) | −2.18834e6 | + | 906442.i | −1.63057 | + | 0.675405i | −0.995296 | − | 0.0968792i | \(-0.969114\pi\) |
−0.635277 | + | 0.772285i | \(0.719114\pi\) | |||||||
\(24\) | 328376. | + | 792769.i | 0.202032 | + | 0.487749i | ||||
\(25\) | −510200. | − | 510200.i | −0.261223 | − | 0.261223i | ||||
\(26\) | 1.76182e6 | + | 1.76182e6i | 0.756103 | + | 0.756103i | ||||
\(27\) | −1.14831e6 | − | 2.77225e6i | −0.415835 | − | 1.00391i | ||||
\(28\) | 7.15736e6 | − | 2.96467e6i | 2.20060 | − | 0.911519i | ||||
\(29\) | −527782. | + | 1.27418e6i | −0.138568 | + | 0.334533i | −0.977896 | − | 0.209093i | \(-0.932949\pi\) |
0.839328 | + | 0.543626i | \(0.182949\pi\) | |||||||
\(30\) | − | 6.80176e6i | − | 1.53312i | ||||||
\(31\) | 4.36823e6 | + | 1.80938e6i | 0.849528 | + | 0.351886i | 0.764603 | − | 0.644501i | \(-0.222935\pi\) |
0.0849250 | + | 0.996387i | \(0.472935\pi\) | |||||||
\(32\) | −5.44601e6 | + | 5.44601e6i | −0.918128 | + | 0.918128i | ||||
\(33\) | −2.51339e6 | −0.368932 | ||||||||
\(34\) | 7.37576e6 | + | 9.56553e6i | 0.946568 | + | 1.22759i | ||||
\(35\) | −1.76381e7 | −1.98676 | ||||||||
\(36\) | −2.85658e6 | + | 2.85658e6i | −0.283455 | + | 0.283455i | ||||
\(37\) | 9.68365e6 | + | 4.01110e6i | 0.849437 | + | 0.351848i | 0.764567 | − | 0.644544i | \(-0.222953\pi\) |
0.0848697 | + | 0.996392i | \(0.472953\pi\) | |||||||
\(38\) | − | 8.38694e6i | − | 0.652495i | ||||||
\(39\) | 3.22318e6 | − | 7.78144e6i | 0.223097 | − | 0.538604i | ||||
\(40\) | −1.09346e7 | + | 4.52926e6i | −0.675357 | + | 0.279742i | ||||
\(41\) | 2.76380e6 | + | 6.67241e6i | 0.152749 | + | 0.368770i | 0.981668 | − | 0.190600i | \(-0.0610433\pi\) |
−0.828918 | + | 0.559370i | \(0.811043\pi\) | |||||||
\(42\) | −3.17169e7 | − | 3.17169e7i | −1.57278 | − | 1.57278i | ||||
\(43\) | −7.19816e6 | − | 7.19816e6i | −0.321080 | − | 0.321080i | 0.528101 | − | 0.849181i | \(-0.322904\pi\) |
−0.849181 | + | 0.528101i | \(0.822904\pi\) | |||||||
\(44\) | 5.82693e6 | + | 1.40675e7i | 0.234370 | + | 0.565820i | ||||
\(45\) | 8.49751e6 | − | 3.51978e6i | 0.308912 | − | 0.127956i | ||||
\(46\) | 3.17943e7 | − | 7.67582e7i | 1.04698 | − | 2.52764i | ||||
\(47\) | 4.00577e7i | 1.19742i | 0.800966 | + | 0.598709i | \(0.204320\pi\) | ||||
−0.800966 | + | 0.598709i | \(0.795680\pi\) | |||||||
\(48\) | 1.24815e7 | + | 5.16999e6i | 0.339375 | + | 0.140574i | ||||
\(49\) | −5.37131e7 | + | 5.37131e7i | −1.33106 | + | 1.33106i | ||||
\(50\) | 2.53084e7 | 0.572664 | ||||||||
\(51\) | 2.03325e7 | − | 3.54093e7i | 0.420848 | − | 0.732912i | ||||
\(52\) | −5.10253e7 | −0.967767 | ||||||||
\(53\) | 1.56564e7 | − | 1.56564e7i | 0.272552 | − | 0.272552i | −0.557575 | − | 0.830127i | \(-0.688268\pi\) |
0.830127 | + | 0.557575i | \(0.188268\pi\) | |||||||
\(54\) | 9.72394e7 | + | 4.02779e7i | 1.55622 | + | 0.644607i | ||||
\(55\) | − | 3.46669e7i | − | 0.510838i | ||||||
\(56\) | −2.98684e7 | + | 7.21087e7i | −0.405850 | + | 0.979809i | ||||
\(57\) | −2.61931e7 | + | 1.08496e7i | −0.328663 | + | 0.136137i | ||||
\(58\) | −1.85124e7 | − | 4.46930e7i | −0.214802 | − | 0.518577i | ||||
\(59\) | 6.99342e7 | + | 6.99342e7i | 0.751373 | + | 0.751373i | 0.974735 | − | 0.223362i | \(-0.0717033\pi\) |
−0.223362 | + | 0.974735i | \(0.571703\pi\) | |||||||
\(60\) | 9.84954e7 | + | 9.84954e7i | 0.981149 | + | 0.981149i | ||||
\(61\) | 8.20876e7 | + | 1.98177e8i | 0.759090 | + | 1.83260i | 0.497628 | + | 0.867391i | \(0.334204\pi\) |
0.261462 | + | 0.965214i | \(0.415796\pi\) | |||||||
\(62\) | −1.53220e8 | + | 6.34657e7i | −1.31690 | + | 0.545477i | ||||
\(63\) | 2.32113e7 | − | 5.60371e7i | 0.185638 | − | 0.448171i | ||||
\(64\) | − | 2.11812e8i | − | 1.57812i | ||||||
\(65\) | 1.07329e8 | + | 4.44571e7i | 0.745772 | + | 0.308909i | ||||
\(66\) | 6.23381e7 | − | 6.23381e7i | 0.404395 | − | 0.404395i | ||||
\(67\) | −1.65755e8 | −1.00492 | −0.502458 | − | 0.864602i | \(-0.667571\pi\) | ||||
−0.502458 | + | 0.864602i | \(0.667571\pi\) | |||||||
\(68\) | −2.45325e8 | − | 3.17098e7i | −1.39140 | − | 0.179847i | ||||
\(69\) | −2.80852e8 | −1.49162 | ||||||||
\(70\) | 4.37469e8 | − | 4.37469e8i | 2.17774 | − | 2.17774i | ||||
\(71\) | −2.39377e7 | − | 9.91532e6i | −0.111794 | − | 0.0463067i | 0.326085 | − | 0.945340i | \(-0.394270\pi\) |
−0.437880 | + | 0.899034i | \(0.644270\pi\) | |||||||
\(72\) | − | 4.07001e7i | − | 0.178484i | ||||||
\(73\) | 1.39914e8 | − | 3.37781e8i | 0.576643 | − | 1.39214i | −0.319165 | − | 0.947699i | \(-0.603402\pi\) |
0.895808 | − | 0.444441i | \(-0.146598\pi\) | |||||||
\(74\) | −3.39663e8 | + | 1.40693e8i | −1.31676 | + | 0.545419i | ||||
\(75\) | −3.27396e7 | − | 7.90404e7i | −0.119481 | − | 0.288452i | ||||
\(76\) | 1.21450e8 | + | 1.21450e8i | 0.417577 | + | 0.417577i | ||||
\(77\) | −1.61653e8 | − | 1.61653e8i | −0.524055 | − | 0.524055i | ||||
\(78\) | 1.13056e8 | + | 2.72941e8i | 0.345834 | + | 0.834918i | ||||
\(79\) | −5.05614e8 | + | 2.09432e8i | −1.46049 | + | 0.604953i | −0.964667 | − | 0.263473i | \(-0.915132\pi\) |
−0.495819 | + | 0.868426i | \(0.665132\pi\) | |||||||
\(80\) | −7.13092e7 | + | 1.72156e8i | −0.194644 | + | 0.469912i | ||||
\(81\) | − | 2.45095e8i | − | 0.632634i | ||||||
\(82\) | −2.34041e8 | − | 9.69430e7i | −0.571649 | − | 0.236785i | ||||
\(83\) | −4.08040e8 | + | 4.08040e8i | −0.943737 | + | 0.943737i | −0.998499 | − | 0.0547622i | \(-0.982560\pi\) |
0.0547622 | + | 0.998499i | \(0.482560\pi\) | |||||||
\(84\) | 9.18576e8 | 2.01307 | ||||||||
\(85\) | 4.88398e8 | + | 2.80445e8i | 1.01482 | + | 0.582723i | ||||
\(86\) | 3.57064e8 | 0.703887 | ||||||||
\(87\) | −1.15632e8 | + | 1.15632e8i | −0.216392 | + | 0.216392i | ||||
\(88\) | −1.41726e8 | − | 5.87049e7i | −0.251929 | − | 0.104352i | ||||
\(89\) | − | 3.72848e7i | − | 0.0629908i | −0.999504 | − | 0.0314954i | \(-0.989973\pi\) | ||
0.999504 | − | 0.0314954i | \(-0.0100270\pi\) | |||||||
\(90\) | −1.23460e8 | + | 2.98058e8i | −0.198351 | + | 0.478861i | ||||
\(91\) | 7.07784e8 | − | 2.93174e8i | 1.08197 | − | 0.448166i | ||||
\(92\) | 6.51116e8 | + | 1.57193e9i | 0.947575 | + | 2.28765i | ||||
\(93\) | 3.96418e8 | + | 3.96418e8i | 0.549515 | + | 0.549515i | ||||
\(94\) | −9.93530e8 | − | 9.93530e8i | −1.31252 | − | 1.31252i | ||||
\(95\) | −1.49647e8 | − | 3.61280e8i | −0.188500 | − | 0.455080i | ||||
\(96\) | −8.43697e8 | + | 3.49471e8i | −1.01383 | + | 0.419943i | ||||
\(97\) | 3.40284e8 | − | 8.21518e8i | 0.390273 | − | 0.942202i | −0.599607 | − | 0.800295i | \(-0.704676\pi\) |
0.989880 | − | 0.141908i | \(-0.0453236\pi\) | |||||||
\(98\) | − | 2.66443e9i | − | 2.91801i | ||||||
\(99\) | 1.10138e8 | + | 4.56208e7i | 0.115234 | + | 0.0477315i | ||||
\(100\) | −3.66488e8 | + | 3.66488e8i | −0.366488 | + | 0.366488i | ||||
\(101\) | 1.51590e9 | 1.44952 | 0.724760 | − | 0.689002i | \(-0.241951\pi\) | ||||
0.724760 | + | 0.689002i | \(0.241951\pi\) | |||||||
\(102\) | 3.73942e8 | + | 1.38253e9i | 0.342061 | + | 1.26466i | ||||
\(103\) | 4.65778e8 | 0.407766 | 0.203883 | − | 0.978995i | \(-0.434644\pi\) | ||||
0.203883 | + | 0.978995i | \(0.434644\pi\) | |||||||
\(104\) | 3.63501e8 | − | 3.63501e8i | 0.304688 | − | 0.304688i | ||||
\(105\) | −1.93217e9 | − | 8.00332e8i | −1.55129 | − | 0.642567i | ||||
\(106\) | 7.76632e8i | 0.597501i | ||||||||
\(107\) | −7.21884e8 | + | 1.74278e9i | −0.532403 | + | 1.28533i | 0.397525 | + | 0.917591i | \(0.369869\pi\) |
−0.929928 | + | 0.367742i | \(0.880131\pi\) | |||||||
\(108\) | −1.99137e9 | + | 8.24853e8i | −1.40846 | + | 0.583404i | ||||
\(109\) | −2.25360e8 | − | 5.44066e8i | −0.152917 | − | 0.369175i | 0.828793 | − | 0.559555i | \(-0.189028\pi\) |
−0.981711 | + | 0.190380i | \(0.939028\pi\) | |||||||
\(110\) | 8.59824e8 | + | 8.59824e8i | 0.559941 | + | 0.559941i | ||||
\(111\) | 8.78793e8 | + | 8.78793e8i | 0.549456 | + | 0.549456i | ||||
\(112\) | 4.70251e8 | + | 1.13529e9i | 0.282390 | + | 0.681749i | ||||
\(113\) | 1.35371e9 | − | 5.60727e8i | 0.781041 | − | 0.323518i | 0.0437055 | − | 0.999044i | \(-0.486084\pi\) |
0.737336 | + | 0.675527i | \(0.236084\pi\) | |||||||
\(114\) | 3.80558e8 | − | 9.18749e8i | 0.211032 | − | 0.509477i | ||||
\(115\) | − | 3.87377e9i | − | 2.06535i | ||||||
\(116\) | 9.15269e8 | + | 3.79117e8i | 0.469340 | + | 0.194407i | ||||
\(117\) | −2.82484e8 | + | 2.82484e8i | −0.139366 | + | 0.139366i | ||||
\(118\) | −3.46908e9 | −1.64720 | ||||||||
\(119\) | 3.58515e9 | − | 9.69696e8i | 1.63887 | − | 0.443276i | ||||
\(120\) | −1.40335e9 | −0.617803 | ||||||||
\(121\) | −1.34960e9 | + | 1.34960e9i | −0.572362 | + | 0.572362i | ||||
\(122\) | −6.95124e9 | − | 2.87930e9i | −2.84082 | − | 1.17670i | ||||
\(123\) | 8.56338e8i | 0.337343i | ||||||||
\(124\) | 1.29972e9 | − | 3.13779e9i | 0.493686 | − | 1.19186i | ||||
\(125\) | −1.86087e9 | + | 7.70799e8i | −0.681744 | + | 0.282388i | ||||
\(126\) | 8.14160e8 | + | 1.96556e9i | 0.287768 | + | 0.694733i | ||||
\(127\) | 2.03480e9 | + | 2.03480e9i | 0.694072 | + | 0.694072i | 0.963125 | − | 0.269053i | \(-0.0867107\pi\) |
−0.269053 | + | 0.963125i | \(0.586711\pi\) | |||||||
\(128\) | 2.46509e9 | + | 2.46509e9i | 0.811686 | + | 0.811686i | ||||
\(129\) | −4.61906e8 | − | 1.11514e9i | −0.146859 | − | 0.354549i | ||||
\(130\) | −3.76466e9 | + | 1.55937e9i | −1.15606 | + | 0.478856i | ||||
\(131\) | 2.18755e9 | − | 5.28122e9i | 0.648989 | − | 1.56680i | −0.165238 | − | 0.986254i | \(-0.552839\pi\) |
0.814228 | − | 0.580545i | \(-0.197161\pi\) | |||||||
\(132\) | 1.80542e9i | 0.517601i | ||||||||
\(133\) | −2.38247e9 | − | 9.86853e8i | −0.660231 | − | 0.273477i | ||||
\(134\) | 4.11113e9 | − | 4.11113e9i | 1.10151 | − | 1.10151i | ||||
\(135\) | 4.90740e9 | 1.27160 | ||||||||
\(136\) | 1.97357e9 | − | 1.52178e9i | 0.494685 | − | 0.381440i | ||||
\(137\) | −2.50282e9 | −0.606997 | −0.303499 | − | 0.952832i | \(-0.598155\pi\) | ||||
−0.303499 | + | 0.952832i | \(0.598155\pi\) | |||||||
\(138\) | 6.96582e9 | − | 6.96582e9i | 1.63499 | − | 1.63499i | ||||
\(139\) | 7.47729e8 | + | 3.09720e8i | 0.169894 | + | 0.0703724i | 0.466009 | − | 0.884780i | \(-0.345691\pi\) |
−0.296115 | + | 0.955152i | \(0.595691\pi\) | |||||||
\(140\) | 1.26699e10i | 2.78737i | ||||||||
\(141\) | −1.81762e9 | + | 4.38813e9i | −0.387274 | + | 0.934961i | ||||
\(142\) | 8.39637e8 | − | 3.47789e8i | 0.173298 | − | 0.0717825i | ||||
\(143\) | 5.76219e8 | + | 1.39112e9i | 0.115233 | + | 0.278196i | ||||
\(144\) | −4.53105e8 | − | 4.53105e8i | −0.0878148 | − | 0.0878148i | ||||
\(145\) | −1.59490e9 | − | 1.59490e9i | −0.299625 | − | 0.299625i | ||||
\(146\) | 4.90760e9 | + | 1.18480e10i | 0.893885 | + | 2.15803i | ||||
\(147\) | −8.32125e9 | + | 3.44677e9i | −1.46981 | + | 0.608814i | ||||
\(148\) | 2.88126e9 | − | 6.95597e9i | 0.493633 | − | 1.19174i | ||||
\(149\) | 4.26492e9i | 0.708880i | 0.935079 | + | 0.354440i | \(0.115328\pi\) | ||||
−0.935079 | + | 0.354440i | \(0.884672\pi\) | |||||||
\(150\) | 2.77241e9 | + | 1.14837e9i | 0.447144 | + | 0.185213i | ||||
\(151\) | −5.94802e9 | + | 5.94802e9i | −0.931057 | + | 0.931057i | −0.997772 | − | 0.0667151i | \(-0.978748\pi\) |
0.0667151 | + | 0.997772i | \(0.478748\pi\) | |||||||
\(152\) | −1.73041e9 | −0.262937 | ||||||||
\(153\) | −1.53371e9 | + | 1.18260e9i | −0.226272 | + | 0.174473i | ||||
\(154\) | 8.01880e9 | 1.14886 | ||||||||
\(155\) | −5.46776e9 | + | 5.46776e9i | −0.760881 | + | 0.760881i | ||||
\(156\) | −5.58958e9 | − | 2.31528e9i | −0.755646 | − | 0.312999i | ||||
\(157\) | − | 1.40154e9i | − | 0.184101i | −0.995754 | − | 0.0920504i | \(-0.970658\pi\) | ||
0.995754 | − | 0.0920504i | \(-0.0293421\pi\) | |||||||
\(158\) | 7.34603e9 | − | 1.77349e10i | 0.937769 | − | 2.26398i | ||||
\(159\) | 2.42549e9 | − | 1.00467e9i | 0.300962 | − | 0.124663i | ||||
\(160\) | −4.82022e9 | − | 1.16370e10i | −0.581469 | − | 1.40379i | ||||
\(161\) | −1.80636e10 | − | 1.80636e10i | −2.11879 | − | 2.11879i | ||||
\(162\) | 6.07896e9 | + | 6.07896e9i | 0.693444 | + | 0.693444i | ||||
\(163\) | 3.54778e9 | + | 8.56510e9i | 0.393652 | + | 0.950360i | 0.989137 | + | 0.146994i | \(0.0469598\pi\) |
−0.595485 | + | 0.803366i | \(0.703040\pi\) | |||||||
\(164\) | 4.79294e9 | − | 1.98530e9i | 0.517374 | − | 0.214303i | ||||
\(165\) | 1.57302e9 | − | 3.79759e9i | 0.165217 | − | 0.398870i | ||||
\(166\) | − | 2.02408e10i | − | 2.06890i | ||||||
\(167\) | 1.25459e10 | + | 5.19667e9i | 1.24818 | + | 0.517012i | 0.906261 | − | 0.422718i | \(-0.138924\pi\) |
0.341917 | + | 0.939730i | \(0.388924\pi\) | |||||||
\(168\) | −6.54388e9 | + | 6.54388e9i | −0.633787 | + | 0.633787i | ||||
\(169\) | 5.55865e9 | 0.524179 | ||||||||
\(170\) | −1.90692e10 | + | 5.15775e9i | −1.75110 | + | 0.473631i | ||||
\(171\) | 1.34473e9 | 0.120269 | ||||||||
\(172\) | −5.17059e9 | + | 5.17059e9i | −0.450466 | + | 0.450466i | ||||
\(173\) | −6.12568e9 | − | 2.53734e9i | −0.519933 | − | 0.215363i | 0.107255 | − | 0.994232i | \(-0.465794\pi\) |
−0.627187 | + | 0.778868i | \(0.715794\pi\) | |||||||
\(174\) | − | 5.73590e9i | − | 0.474384i | ||||||
\(175\) | 2.97793e9 | − | 7.18935e9i | 0.240017 | − | 0.579453i | ||||
\(176\) | −2.23135e9 | + | 9.24257e8i | −0.175292 | + | 0.0726082i | ||||
\(177\) | 4.48768e9 | + | 1.08342e10i | 0.343671 | + | 0.829695i | ||||
\(178\) | 9.24754e8 | + | 9.24754e8i | 0.0690457 | + | 0.0690457i | ||||
\(179\) | −3.07298e9 | − | 3.07298e9i | −0.223728 | − | 0.223728i | 0.586338 | − | 0.810066i | \(-0.300569\pi\) |
−0.810066 | + | 0.586338i | \(0.800569\pi\) | |||||||
\(180\) | −2.52833e9 | − | 6.10394e9i | −0.179518 | − | 0.433395i | ||||
\(181\) | 1.22430e10 | − | 5.07121e9i | 0.847879 | − | 0.351203i | 0.0839235 | − | 0.996472i | \(-0.473255\pi\) |
0.763955 | + | 0.645269i | \(0.223255\pi\) | |||||||
\(182\) | −1.02833e10 | + | 2.48262e10i | −0.694726 | + | 1.67722i | ||||
\(183\) | 2.54340e10i | 1.67643i | ||||||||
\(184\) | −1.58369e10 | − | 6.55984e9i | −1.01857 | − | 0.421904i | ||||
\(185\) | −1.21211e10 | + | 1.21211e10i | −0.760799 | + | 0.760799i | ||||
\(186\) | −1.96642e10 | −1.20467 | ||||||||
\(187\) | 1.90589e9 | + | 7.04644e9i | 0.113975 | + | 0.421388i | ||||
\(188\) | 2.87743e10 | 1.67994 | ||||||||
\(189\) | 2.28834e10 | − | 2.28834e10i | 1.30450 | − | 1.30450i | ||||
\(190\) | 1.26722e10 | + | 5.24901e9i | 0.705443 | + | 0.292204i | ||||
\(191\) | − | 4.77283e8i | − | 0.0259493i | −0.999916 | − | 0.0129746i | \(-0.995870\pi\) | ||
0.999916 | − | 0.0129746i | \(-0.00413007\pi\) | |||||||
\(192\) | 9.61098e9 | − | 2.32029e10i | 0.510401 | − | 1.23222i | ||||
\(193\) | 1.28054e10 | − | 5.30418e9i | 0.664334 | − | 0.275176i | −0.0249272 | − | 0.999689i | \(-0.507935\pi\) |
0.689261 | + | 0.724513i | \(0.257935\pi\) | |||||||
\(194\) | 1.19358e10 | + | 2.88155e10i | 0.604982 | + | 1.46056i | ||||
\(195\) | 9.74011e9 | + | 9.74011e9i | 0.482401 | + | 0.482401i | ||||
\(196\) | 3.85833e10 | + | 3.85833e10i | 1.86744 | + | 1.86744i | ||||
\(197\) | −1.08300e10 | − | 2.61460e10i | −0.512309 | − | 1.23682i | −0.942537 | − | 0.334103i | \(-0.891567\pi\) |
0.430227 | − | 0.902721i | \(-0.358433\pi\) | |||||||
\(198\) | −3.86321e9 | + | 1.60019e9i | −0.178630 | + | 0.0739910i | ||||
\(199\) | 9.56462e9 | − | 2.30910e10i | 0.432343 | − | 1.04377i | −0.546187 | − | 0.837664i | \(-0.683921\pi\) |
0.978530 | − | 0.206105i | \(-0.0660790\pi\) | |||||||
\(200\) | − | 5.22167e9i | − | 0.230767i | ||||||
\(201\) | −1.81577e10 | − | 7.52115e9i | −0.784653 | − | 0.325014i | ||||
\(202\) | −3.75980e10 | + | 3.75980e10i | −1.58885 | + | 1.58885i | ||||
\(203\) | −1.48742e10 | −0.614753 | ||||||||
\(204\) | −2.54353e10 | − | 1.46053e10i | −1.02826 | − | 0.590438i | ||||
\(205\) | −1.18114e10 | −0.467099 | ||||||||
\(206\) | −1.15524e10 | + | 1.15524e10i | −0.446962 | + | 0.446962i | ||||
\(207\) | 1.23072e10 | + | 5.09779e9i | 0.465898 | + | 0.192981i | ||||
\(208\) | − | 8.09355e9i | − | 0.299815i | ||||||
\(209\) | 1.93961e9 | − | 4.68264e9i | 0.0703165 | − | 0.169759i | ||||
\(210\) | 6.77728e10 | − | 2.80724e10i | 2.40474 | − | 0.996076i | ||||
\(211\) | 6.90025e9 | + | 1.66587e10i | 0.239659 | + | 0.578588i | 0.997248 | − | 0.0741442i | \(-0.0236225\pi\) |
−0.757588 | + | 0.652733i | \(0.773623\pi\) | |||||||
\(212\) | −1.12463e10 | − | 1.12463e10i | −0.382383 | − | 0.382383i | ||||
\(213\) | −2.17235e9 | − | 2.17235e9i | −0.0723139 | − | 0.0723139i | ||||
\(214\) | −2.53207e10 | − | 6.11297e10i | −0.825305 | − | 1.99246i | ||||
\(215\) | 1.53810e10 | − | 6.37104e9i | 0.490922 | − | 0.203347i | ||||
\(216\) | 8.31019e9 | − | 2.00626e10i | 0.259758 | − | 0.627112i | ||||
\(217\) | 5.09928e10i | 1.56113i | ||||||||
\(218\) | 1.90836e10 | + | 7.90470e9i | 0.572278 | + | 0.237045i | ||||
\(219\) | 3.06537e10 | − | 3.06537e10i | 0.900502 | − | 0.900502i | ||||
\(220\) | −2.49020e10 | −0.716691 | ||||||||
\(221\) | −2.42599e10 | − | 3.13575e9i | −0.684107 | − | 0.0884253i | ||||
\(222\) | −4.35924e10 | −1.20454 | ||||||||
\(223\) | −2.33519e10 | + | 2.33519e10i | −0.632339 | + | 0.632339i | −0.948654 | − | 0.316315i | \(-0.897554\pi\) |
0.316315 | + | 0.948654i | \(0.397554\pi\) | |||||||
\(224\) | −7.67409e10 | − | 3.17871e10i | −2.03662 | − | 0.843597i | ||||
\(225\) | 4.05787e9i | 0.105554i | ||||||||
\(226\) | −1.96680e10 | + | 4.74828e10i | −0.501502 | + | 1.21073i | ||||
\(227\) | 3.38615e10 | − | 1.40259e10i | 0.846427 | − | 0.350602i | 0.0830428 | − | 0.996546i | \(-0.473536\pi\) |
0.763385 | + | 0.645944i | \(0.223536\pi\) | |||||||
\(228\) | 7.79347e9 | + | 1.88151e10i | 0.190996 | + | 0.461105i | ||||
\(229\) | −4.09750e9 | − | 4.09750e9i | −0.0984599 | − | 0.0984599i | 0.656161 | − | 0.754621i | \(-0.272179\pi\) |
−0.754621 | + | 0.656161i | \(0.772179\pi\) | |||||||
\(230\) | 9.60790e10 | + | 9.60790e10i | 2.26388 | + | 2.26388i | ||||
\(231\) | −1.03733e10 | − | 2.50434e10i | −0.239698 | − | 0.578681i | ||||
\(232\) | −9.22112e9 | + | 3.81951e9i | −0.208972 | + | 0.0865590i | ||||
\(233\) | −2.79641e7 | + | 6.75113e7i | −0.000621583 | + | 0.00150063i | −0.924190 | − | 0.381933i | \(-0.875259\pi\) |
0.923568 | + | 0.383434i | \(0.125259\pi\) | |||||||
\(234\) | − | 1.40126e10i | − | 0.305525i | ||||||
\(235\) | −6.05252e10 | − | 2.50703e10i | −1.29458 | − | 0.536235i | ||||
\(236\) | 5.02353e10 | − | 5.02353e10i | 1.05416 | − | 1.05416i | ||||
\(237\) | −6.48906e10 | −1.33602 | ||||||||
\(238\) | −6.48696e10 | + | 1.12971e11i | −1.31052 | + | 2.28229i | ||||
\(239\) | 6.99325e10 | 1.38640 | 0.693200 | − | 0.720745i | \(-0.256200\pi\) | ||||
0.693200 | + | 0.720745i | \(0.256200\pi\) | |||||||
\(240\) | −1.56232e10 | + | 1.56232e10i | −0.303961 | + | 0.303961i | ||||
\(241\) | 5.42130e10 | + | 2.24558e10i | 1.03521 | + | 0.428796i | 0.834589 | − | 0.550873i | \(-0.185705\pi\) |
0.200617 | + | 0.979670i | \(0.435705\pi\) | |||||||
\(242\) | − | 6.69467e10i | − | 1.25476i | ||||||
\(243\) | −1.14809e10 | + | 2.77173e10i | −0.211226 | + | 0.509944i | ||||
\(244\) | 1.42355e11 | − | 5.89652e10i | 2.57109 | − | 1.06498i | ||||
\(245\) | −4.75411e10 | − | 1.14774e11i | −0.842988 | − | 2.03515i | ||||
\(246\) | −2.12393e10 | − | 2.12393e10i | −0.369770 | − | 0.369770i | ||||
\(247\) | 1.20101e10 | + | 1.20101e10i | 0.205310 | + | 0.205310i | ||||
\(248\) | 1.30943e10 | + | 3.16125e10i | 0.219812 | + | 0.530673i | ||||
\(249\) | −6.32136e10 | + | 2.61839e10i | −1.04211 | + | 0.431656i | ||||
\(250\) | 2.70365e10 | − | 6.52718e10i | 0.437744 | − | 1.05681i | ||||
\(251\) | − | 3.69311e10i | − | 0.587300i | −0.955913 | − | 0.293650i | \(-0.905130\pi\) | ||
0.955913 | − | 0.293650i | \(-0.0948701\pi\) | |||||||
\(252\) | −4.02527e10 | − | 1.66732e10i | −0.628771 | − | 0.260445i | ||||
\(253\) | 3.55031e10 | − | 3.55031e10i | 0.544784 | − | 0.544784i | ||||
\(254\) | −1.00936e11 | −1.52158 | ||||||||
\(255\) | 4.07764e10 | + | 5.28825e10i | 0.603919 | + | 0.783215i | ||||
\(256\) | −1.38329e10 | −0.201295 | ||||||||
\(257\) | 2.17662e10 | − | 2.17662e10i | 0.311232 | − | 0.311232i | −0.534155 | − | 0.845387i | \(-0.679370\pi\) |
0.845387 | + | 0.534155i | \(0.179370\pi\) | |||||||
\(258\) | 3.91146e10 | + | 1.62018e10i | 0.549604 | + | 0.227654i | ||||
\(259\) | 1.13043e11i | 1.56097i | ||||||||
\(260\) | 3.19345e10 | − | 7.70966e10i | 0.433391 | − | 1.04630i | ||||
\(261\) | 7.16592e9 | − | 2.96822e9i | 0.0955850 | − | 0.0395926i | ||||
\(262\) | 7.67305e10 | + | 1.85244e11i | 1.00603 | + | 2.42878i | ||||
\(263\) | −1.56867e10 | − | 1.56867e10i | −0.202176 | − | 0.202176i | 0.598756 | − | 0.800932i | \(-0.295662\pi\) |
−0.800932 | + | 0.598756i | \(0.795662\pi\) | |||||||
\(264\) | −1.28617e10 | − | 1.28617e10i | −0.162960 | − | 0.162960i | ||||
\(265\) | 1.38573e10 | + | 3.34546e10i | 0.172613 | + | 0.416724i | ||||
\(266\) | 8.35675e10 | − | 3.46148e10i | 1.02346 | − | 0.423930i | ||||
\(267\) | 1.69180e9 | − | 4.08437e9i | 0.0203727 | − | 0.0491841i | ||||
\(268\) | 1.19065e11i | 1.40987i | ||||||||
\(269\) | −5.27329e10 | − | 2.18427e10i | −0.614039 | − | 0.254343i | 0.0539153 | − | 0.998546i | \(-0.482830\pi\) |
−0.667954 | + | 0.744202i | \(0.732830\pi\) | |||||||
\(270\) | −1.21716e11 | + | 1.21716e11i | −1.39383 | + | 1.39383i | ||||
\(271\) | 3.32663e10 | 0.374664 | 0.187332 | − | 0.982297i | \(-0.440016\pi\) | ||||
0.187332 | + | 0.982297i | \(0.440016\pi\) | |||||||
\(272\) | 5.02975e9 | − | 3.89129e10i | 0.0557168 | − | 0.431056i | ||||
\(273\) | 9.08371e10 | 0.989764 | ||||||||
\(274\) | 6.20760e10 | − | 6.20760e10i | 0.665343 | − | 0.665343i | ||||
\(275\) | 1.41303e10 | + | 5.85298e9i | 0.148989 | + | 0.0617134i | ||||
\(276\) | 2.01742e11i | 2.09270i | ||||||||
\(277\) | 1.30958e10 | − | 3.16161e10i | 0.133651 | − | 0.322663i | −0.842859 | − | 0.538135i | \(-0.819129\pi\) |
0.976510 | + | 0.215472i | \(0.0691290\pi\) | |||||||
\(278\) | −2.62273e10 | + | 1.08637e10i | −0.263361 | + | 0.109088i | ||||
\(279\) | −1.01759e10 | − | 2.45667e10i | −0.100543 | − | 0.242733i | ||||
\(280\) | −9.02592e10 | − | 9.02592e10i | −0.877567 | − | 0.877567i | ||||
\(281\) | 4.73681e10 | + | 4.73681e10i | 0.453218 | + | 0.453218i | 0.896421 | − | 0.443203i | \(-0.146158\pi\) |
−0.443203 | + | 0.896421i | \(0.646158\pi\) | |||||||
\(282\) | −6.37549e10 | − | 1.53918e11i | −0.600333 | − | 1.44933i | ||||
\(283\) | 1.94262e10 | − | 8.04662e9i | 0.180032 | − | 0.0745717i | −0.290847 | − | 0.956770i | \(-0.593937\pi\) |
0.470879 | + | 0.882198i | \(0.343937\pi\) | |||||||
\(284\) | −7.12239e9 | + | 1.71950e10i | −0.0649670 | + | 0.156844i | ||||
\(285\) | − | 4.63667e10i | − | 0.416298i | ||||||
\(286\) | −4.87947e10 | − | 2.02114e10i | −0.431247 | − | 0.178628i | ||||
\(287\) | −5.50771e10 | + | 5.50771e10i | −0.479184 | + | 0.479184i | ||||
\(288\) | 4.33147e10 | 0.370996 | ||||||||
\(289\) | −1.14690e11 | − | 3.01527e10i | −0.967135 | − | 0.254265i | ||||
\(290\) | 7.91148e10 | 0.656851 | ||||||||
\(291\) | 7.45529e10 | − | 7.45529e10i | 0.609461 | − | 0.609461i | ||||
\(292\) | −2.42636e11 | − | 1.00503e11i | −1.95313 | − | 0.809014i | ||||
\(293\) | 3.54172e10i | 0.280743i | 0.990099 | + | 0.140372i | \(0.0448297\pi\) | ||||
−0.990099 | + | 0.140372i | \(0.955170\pi\) | |||||||
\(294\) | 1.20899e11 | − | 2.91875e11i | 0.943754 | − | 2.27842i | ||||
\(295\) | −1.49436e11 | + | 6.18983e10i | −1.14883 | + | 0.475860i | ||||
\(296\) | 2.90280e10 | + | 7.00798e10i | 0.219788 | + | 0.530616i | ||||
\(297\) | 4.49763e10 | + | 4.49763e10i | 0.335413 | + | 0.335413i | ||||
\(298\) | −1.05780e11 | − | 1.05780e11i | −0.777019 | − | 0.777019i | ||||
\(299\) | 6.43883e10 | + | 1.55447e11i | 0.465893 | + | 1.12477i | ||||
\(300\) | −5.67764e10 | + | 2.35176e10i | −0.404690 | + | 0.167628i | ||||
\(301\) | 4.20141e10 | − | 1.01431e11i | 0.295016 | − | 0.712231i | ||||
\(302\) | − | 2.95051e11i | − | 2.04111i | ||||||
\(303\) | 1.66059e11 | + | 6.87840e10i | 1.13180 | + | 0.468809i | ||||
\(304\) | −1.92642e10 | + | 1.92642e10i | −0.129366 | + | 0.129366i | ||||
\(305\) | −3.50810e11 | −2.32125 | ||||||||
\(306\) | 8.70815e9 | − | 6.73711e10i | 0.0567779 | − | 0.439266i | ||||
\(307\) | −9.48586e9 | −0.0609472 | −0.0304736 | − | 0.999536i | \(-0.509702\pi\) | ||||
−0.0304736 | + | 0.999536i | \(0.509702\pi\) | |||||||
\(308\) | −1.16119e11 | + | 1.16119e11i | −0.735234 | + | 0.735234i | ||||
\(309\) | 5.10237e10 | + | 2.11347e10i | 0.318390 | + | 0.131881i | ||||
\(310\) | − | 2.71227e11i | − | 1.66804i | ||||||
\(311\) | −5.98731e10 | + | 1.44547e11i | −0.362919 | + | 0.876165i | 0.631951 | + | 0.775008i | \(0.282254\pi\) |
−0.994870 | + | 0.101157i | \(0.967746\pi\) | |||||||
\(312\) | 5.63137e10 | − | 2.33259e10i | 0.336448 | − | 0.139361i | ||||
\(313\) | −3.03614e10 | − | 7.32989e10i | −0.178802 | − | 0.431666i | 0.808914 | − | 0.587927i | \(-0.200056\pi\) |
−0.987716 | + | 0.156261i | \(0.950056\pi\) | |||||||
\(314\) | 3.47615e10 | + | 3.47615e10i | 0.201797 | + | 0.201797i | ||||
\(315\) | 7.01422e10 | + | 7.01422e10i | 0.401404 | + | 0.401404i | ||||
\(316\) | 1.50440e11 | + | 3.63194e11i | 0.848732 | + | 2.04902i | ||||
\(317\) | 1.16509e11 | − | 4.82595e10i | 0.648025 | − | 0.268421i | −0.0343645 | − | 0.999409i | \(-0.510941\pi\) |
0.682390 | + | 0.730989i | \(0.260941\pi\) | |||||||
\(318\) | −3.52397e10 | + | 8.50763e10i | −0.193246 | + | 0.466537i | ||||
\(319\) | − | 2.92345e10i | − | 0.158066i | ||||||
\(320\) | 3.20036e11 | + | 1.32563e11i | 1.70618 | + | 0.706722i | ||||
\(321\) | −1.58158e11 | + | 1.58158e11i | −0.831415 | + | 0.831415i | ||||
\(322\) | 8.96041e11 | 4.64490 | ||||||||
\(323\) | 5.02796e10 | + | 6.52070e10i | 0.257028 | + | 0.333336i | ||||
\(324\) | −1.76057e11 | −0.887567 | ||||||||
\(325\) | −3.62416e10 | + | 3.62416e10i | −0.180191 | + | 0.180191i | ||||
\(326\) | −3.00429e11 | − | 1.24442e11i | −1.47320 | − | 0.610221i | ||||
\(327\) | − | 6.98256e10i | − | 0.337714i | ||||||
\(328\) | −2.00014e10 | + | 4.82877e10i | −0.0954176 | + | 0.230358i | ||||
\(329\) | −3.99136e11 | + | 1.65327e11i | −1.87819 | + | 0.777971i | ||||
\(330\) | 5.51750e10 | + | 1.33204e11i | 0.256112 | + | 0.618308i | ||||
\(331\) | −7.63569e10 | − | 7.63569e10i | −0.349641 | − | 0.349641i | 0.510335 | − | 0.859976i | \(-0.329522\pi\) |
−0.859976 | + | 0.510335i | \(0.829522\pi\) | |||||||
\(332\) | 2.93104e11 | + | 2.93104e11i | 1.32404 | + | 1.32404i | ||||
\(333\) | −2.25582e10 | − | 5.44604e10i | −0.100532 | − | 0.242707i | ||||
\(334\) | −4.40058e11 | + | 1.82278e11i | −1.93487 | + | 0.801448i | ||||
\(335\) | 1.03739e11 | − | 2.50447e11i | 0.450027 | − | 1.08646i | ||||
\(336\) | 1.45703e11i | 0.623651i | ||||||||
\(337\) | 2.21020e11 | + | 9.15493e10i | 0.933461 | + | 0.386652i | 0.796990 | − | 0.603992i | \(-0.206424\pi\) |
0.136471 | + | 0.990644i | \(0.456424\pi\) | |||||||
\(338\) | −1.37868e11 | + | 1.37868e11i | −0.574565 | + | 0.574565i | ||||
\(339\) | 1.73736e11 | 0.714481 | ||||||||
\(340\) | 2.01449e11 | − | 3.50827e11i | 0.817544 | − | 1.42376i | ||||
\(341\) | −1.00224e11 | −0.401399 | ||||||||
\(342\) | −3.33527e10 | + | 3.33527e10i | −0.131830 | + | 0.131830i | ||||
\(343\) | −3.54800e11 | − | 1.46963e11i | −1.38408 | − | 0.573303i | ||||
\(344\) | − | 7.36699e10i | − | 0.283646i | ||||||
\(345\) | 1.75773e11 | − | 4.24353e11i | 0.667984 | − | 1.61266i | ||||
\(346\) | 2.14864e11 | − | 8.89996e10i | 0.805975 | − | 0.333846i | ||||
\(347\) | −5.10121e10 | − | 1.23154e11i | −0.188882 | − | 0.456002i | 0.800863 | − | 0.598848i | \(-0.204375\pi\) |
−0.989745 | + | 0.142846i | \(0.954375\pi\) | |||||||
\(348\) | 8.30608e10 | + | 8.30608e10i | 0.303592 | + | 0.303592i | ||||
\(349\) | −7.11623e10 | − | 7.11623e10i | −0.256765 | − | 0.256765i | 0.566972 | − | 0.823737i | \(-0.308115\pi\) |
−0.823737 | + | 0.566972i | \(0.808115\pi\) | |||||||
\(350\) | 1.04454e11 | + | 2.52173e11i | 0.372063 | + | 0.898241i | ||||
\(351\) | −1.96925e11 | + | 8.15689e10i | −0.692497 | + | 0.286842i | ||||
\(352\) | 6.24761e10 | − | 1.50831e11i | 0.216906 | − | 0.523658i | ||||
\(353\) | 9.24641e10i | 0.316947i | 0.987363 | + | 0.158474i | \(0.0506573\pi\) | ||||
−0.987363 | + | 0.158474i | \(0.949343\pi\) | |||||||
\(354\) | −3.80021e11 | − | 1.57410e11i | −1.28615 | − | 0.532742i | ||||
\(355\) | 2.99631e10 | − | 2.99631e10i | 0.100129 | − | 0.100129i | ||||
\(356\) | −2.67825e10 | −0.0883743 | ||||||||
\(357\) | 4.36736e11 | + | 5.64509e10i | 1.42302 | + | 0.183935i | ||||
\(358\) | 1.52435e11 | 0.490467 | ||||||||
\(359\) | 2.85847e11 | − | 2.85847e11i | 0.908256 | − | 0.908256i | −0.0878754 | − | 0.996131i | \(-0.528008\pi\) |
0.996131 | + | 0.0878754i | \(0.0280077\pi\) | |||||||
\(360\) | 6.14958e10 | + | 2.54724e10i | 0.192967 | + | 0.0799297i | ||||
\(361\) | 2.65515e11i | 0.822824i | ||||||||
\(362\) | −1.77877e11 | + | 4.29434e11i | −0.544418 | + | 1.31434i | ||||
\(363\) | −2.09080e11 | + | 8.66038e10i | −0.632023 | + | 0.261793i | ||||
\(364\) | −2.10593e11 | − | 5.08417e11i | −0.628764 | − | 1.51797i | ||||
\(365\) | 4.22804e11 | + | 4.22804e11i | 1.24687 | + | 1.24687i | ||||
\(366\) | −6.30826e11 | − | 6.30826e11i | −1.83757 | − | 1.83757i | ||||
\(367\) | −2.07857e11 | − | 5.01812e11i | −0.598092 | − | 1.44392i | −0.875523 | − | 0.483176i | \(-0.839483\pi\) |
0.277432 | − | 0.960745i | \(-0.410517\pi\) | |||||||
\(368\) | −2.49337e11 | + | 1.03279e11i | −0.708716 | + | 0.293560i | ||||
\(369\) | 1.55435e10 | − | 3.75254e10i | 0.0436446 | − | 0.105367i | ||||
\(370\) | − | 6.01267e11i | − | 1.66786i | ||||||
\(371\) | 2.20617e11 | + | 9.13827e10i | 0.604585 | + | 0.250427i | ||||
\(372\) | 2.84755e11 | − | 2.84755e11i | 0.770954 | − | 0.770954i | ||||
\(373\) | −7.02135e10 | −0.187815 | −0.0939077 | − | 0.995581i | \(-0.529936\pi\) | ||||
−0.0939077 | + | 0.995581i | \(0.529936\pi\) | |||||||
\(374\) | −2.22040e11 | − | 1.27498e11i | −0.586825 | − | 0.336962i | ||||
\(375\) | −2.38825e11 | −0.623646 | ||||||||
\(376\) | −2.04986e11 | + | 2.04986e11i | −0.528908 | + | 0.528908i | ||||
\(377\) | 9.05101e10 | + | 3.74905e10i | 0.230760 | + | 0.0955840i | ||||
\(378\) | 1.13513e12i | 2.85978i | ||||||||
\(379\) | −1.28989e11 | + | 3.11408e11i | −0.321127 | + | 0.775269i | 0.678062 | + | 0.735005i | \(0.262820\pi\) |
−0.999189 | + | 0.0402646i | \(0.987180\pi\) | |||||||
\(380\) | −2.59515e11 | + | 1.07495e11i | −0.638464 | + | 0.264460i | ||||
\(381\) | 1.30573e11 | + | 3.15232e11i | 0.317462 | + | 0.766421i | ||||
\(382\) | 1.18378e10 | + | 1.18378e10i | 0.0284436 | + | 0.0284436i | ||||
\(383\) | −1.90740e11 | − | 1.90740e11i | −0.452946 | − | 0.452946i | 0.443385 | − | 0.896331i | \(-0.353777\pi\) |
−0.896331 | + | 0.443385i | \(0.853777\pi\) | |||||||
\(384\) | 1.58185e11 | + | 3.81892e11i | 0.371257 | + | 0.896294i | ||||
\(385\) | 3.45421e11 | − | 1.43078e11i | 0.801265 | − | 0.331895i | ||||
\(386\) | −1.86049e11 | + | 4.49162e11i | −0.426565 | + | 1.02982i | ||||
\(387\) | 5.72504e10i | 0.129742i | ||||||||
\(388\) | −5.90114e11 | − | 2.44433e11i | −1.32188 | − | 0.547542i | ||||
\(389\) | 4.94082e11 | − | 4.94082e11i | 1.09402 | − | 1.09402i | 0.0989263 | − | 0.995095i | \(-0.468459\pi\) |
0.995095 | − | 0.0989263i | \(-0.0315408\pi\) | |||||||
\(390\) | −4.83157e11 | −1.05754 | ||||||||
\(391\) | 2.12969e11 | + | 7.87388e11i | 0.460810 | + | 1.70370i | ||||
\(392\) | −5.49729e11 | −1.17588 | ||||||||
\(393\) | 4.79272e11 | − | 4.79272e11i | 1.01348 | − | 1.01348i | ||||
\(394\) | 9.17097e11 | + | 3.79874e11i | 1.91726 | + | 0.794157i | ||||
\(395\) | − | 8.95031e11i | − | 1.84991i | ||||||
\(396\) | 3.27704e10 | − | 7.91148e10i | 0.0669659 | − | 0.161670i | ||||
\(397\) | −4.97087e11 | + | 2.05900e11i | −1.00433 | + | 0.416006i | −0.823382 | − | 0.567487i | \(-0.807916\pi\) |
−0.180945 | + | 0.983493i | \(0.557916\pi\) | |||||||
\(398\) | 3.35488e11 | + | 8.09939e11i | 0.670198 | + | 1.61800i | ||||
\(399\) | −2.16210e11 | − | 2.16210e11i | −0.427069 | − | 0.427069i | ||||
\(400\) | −5.81316e10 | − | 5.81316e10i | −0.113538 | − | 0.113538i | ||||
\(401\) | 3.74179e10 | + | 9.03347e10i | 0.0722652 | + | 0.174464i | 0.955885 | − | 0.293742i | \(-0.0949007\pi\) |
−0.883620 | + | 0.468206i | \(0.844901\pi\) | |||||||
\(402\) | 6.36897e11 | − | 2.63811e11i | 1.21633 | − | 0.503821i | ||||
\(403\) | 1.28528e11 | − | 3.10293e11i | 0.242730 | − | 0.586003i | ||||
\(404\) | − | 1.08890e12i | − | 2.03363i | ||||||
\(405\) | 3.70326e11 | + | 1.53394e11i | 0.683969 | + | 0.283309i | ||||
\(406\) | 3.68916e11 | − | 3.68916e11i | 0.673845 | − | 0.673845i | ||||
\(407\) | −2.22180e11 | −0.401356 | ||||||||
\(408\) | 2.85246e11 | − | 7.71522e10i | 0.509623 | − | 0.137841i | ||||
\(409\) | 8.67529e11 | 1.53295 | 0.766477 | − | 0.642271i | \(-0.222008\pi\) | ||||
0.766477 | + | 0.642271i | \(0.222008\pi\) | |||||||
\(410\) | 2.92952e11 | − | 2.92952e11i | 0.511998 | − | 0.511998i | ||||
\(411\) | −2.74172e11 | − | 1.13566e11i | −0.473952 | − | 0.196317i | ||||
\(412\) | − | 3.34578e11i | − | 0.572085i | ||||||
\(413\) | −4.08191e11 | + | 9.85459e11i | −0.690379 | + | 1.66672i | ||||
\(414\) | −4.31685e11 | + | 1.78810e11i | −0.722213 | + | 0.299150i | ||||
\(415\) | −3.61153e11 | − | 8.71900e11i | −0.597688 | − | 1.44295i | ||||
\(416\) | 3.86852e11 | + | 3.86852e11i | 0.633323 | + | 0.633323i | ||||
\(417\) | 6.78566e10 | + | 6.78566e10i | 0.109895 | + | 0.109895i | ||||
\(418\) | 6.80338e10 | + | 1.64248e11i | 0.109001 | + | 0.263152i | ||||
\(419\) | 5.15318e11 | − | 2.13452e11i | 0.816793 | − | 0.338327i | 0.0651324 | − | 0.997877i | \(-0.479253\pi\) |
0.751661 | + | 0.659550i | \(0.229253\pi\) | |||||||
\(420\) | −5.74896e11 | + | 1.38792e12i | −0.901503 | + | 2.17642i | ||||
\(421\) | 2.55514e11i | 0.396411i | 0.980160 | + | 0.198206i | \(0.0635114\pi\) | ||||
−0.980160 | + | 0.198206i | \(0.936489\pi\) | |||||||
\(422\) | −5.84319e11 | − | 2.42033e11i | −0.896900 | − | 0.371508i | ||||
\(423\) | 1.59299e11 | − | 1.59299e11i | 0.241926 | − | 0.241926i | ||||
\(424\) | 1.60236e11 | 0.240776 | ||||||||
\(425\) | −1.96768e11 | + | 1.51724e11i | −0.292554 | + | 0.225581i | ||||
\(426\) | 1.07759e11 | 0.158530 | ||||||||
\(427\) | −1.63584e12 | + | 1.63584e12i | −2.38131 | + | 2.38131i | ||||
\(428\) | 1.25188e12 | + | 5.18545e11i | 1.80329 | + | 0.746946i | ||||
\(429\) | 1.78536e11i | 0.254489i | ||||||||
\(430\) | −2.23470e11 | + | 5.39505e11i | −0.315218 | + | 0.761004i | ||||
\(431\) | 8.02446e11 | − | 3.32384e11i | 1.12013 | − | 0.463973i | 0.255715 | − | 0.966752i | \(-0.417689\pi\) |
0.864415 | + | 0.502779i | \(0.167689\pi\) | |||||||
\(432\) | −1.30837e11 | − | 3.15868e11i | −0.180739 | − | 0.436343i | ||||
\(433\) | −2.97003e11 | − | 2.97003e11i | −0.406037 | − | 0.406037i | 0.474317 | − | 0.880354i | \(-0.342695\pi\) |
−0.880354 | + | 0.474317i | \(0.842695\pi\) | |||||||
\(434\) | −1.26475e12 | − | 1.26475e12i | −1.71119 | − | 1.71119i | ||||
\(435\) | −1.02345e11 | − | 2.47082e11i | −0.137045 | − | 0.330857i | ||||
\(436\) | −3.90815e11 | + | 1.61881e11i | −0.517943 | + | 0.214539i | ||||
\(437\) | 2.16737e11 | − | 5.23251e11i | 0.284294 | − | 0.686346i | ||||
\(438\) | 1.52057e12i | 1.97412i | ||||||||
\(439\) | −2.64967e11 | − | 1.09753e11i | −0.340487 | − | 0.141034i | 0.205887 | − | 0.978576i | \(-0.433992\pi\) |
−0.546374 | + | 0.837541i | \(0.683992\pi\) | |||||||
\(440\) | 1.77400e11 | − | 1.77400e11i | 0.225640 | − | 0.225640i | ||||
\(441\) | 4.27206e11 | 0.537853 | ||||||||
\(442\) | 6.79479e11 | − | 5.23931e11i | 0.846790 | − | 0.652940i | ||||
\(443\) | 2.71905e11 | 0.335428 | 0.167714 | − | 0.985836i | \(-0.446361\pi\) | ||||
0.167714 | + | 0.985836i | \(0.446361\pi\) | |||||||
\(444\) | 6.31256e11 | − | 6.31256e11i | 0.770872 | − | 0.770872i | ||||
\(445\) | 5.63354e10 | + | 2.33349e10i | 0.0681022 | + | 0.0282089i | ||||
\(446\) | − | 1.15837e12i | − | 1.38624i | ||||||
\(447\) | −1.93521e11 | + | 4.67201e11i | −0.229268 | + | 0.553503i | ||||
\(448\) | 2.11049e12 | − | 8.74195e11i | 2.47533 | − | 1.02531i | ||||
\(449\) | 8.25598e9 | + | 1.99317e10i | 0.00958650 | + | 0.0231439i | 0.928600 | − | 0.371081i | \(-0.121013\pi\) |
−0.919014 | + | 0.394225i | \(0.871013\pi\) | |||||||
\(450\) | −1.00645e11 | − | 1.00645e11i | −0.115701 | − | 0.115701i | ||||
\(451\) | −1.08251e11 | − | 1.08251e11i | −0.123208 | − | 0.123208i | ||||
\(452\) | −4.02782e11 | − | 9.72402e11i | −0.453886 | − | 1.09578i | ||||
\(453\) | −9.21469e11 | + | 3.81685e11i | −1.02811 | + | 0.425856i | ||||
\(454\) | −4.91971e11 | + | 1.18772e12i | −0.543486 | + | 1.31209i | ||||
\(455\) | 1.25291e12i | 1.37047i | ||||||||
\(456\) | −1.89558e11 | − | 7.85173e10i | −0.205305 | − | 0.0850401i | ||||
\(457\) | −1.11135e12 | + | 1.11135e12i | −1.19186 | + | 1.19186i | −0.215320 | + | 0.976544i | \(0.569079\pi\) |
−0.976544 | + | 0.215320i | \(0.930921\pi\) | |||||||
\(458\) | 2.03256e11 | 0.215848 | ||||||||
\(459\) | −9.97485e11 | + | 2.69796e11i | −1.04894 | + | 0.283712i | ||||
\(460\) | −2.78261e12 | −2.89763 | ||||||||
\(461\) | 6.74059e11 | − | 6.74059e11i | 0.695094 | − | 0.695094i | −0.268254 | − | 0.963348i | \(-0.586447\pi\) |
0.963348 | + | 0.268254i | \(0.0864466\pi\) | |||||||
\(462\) | 8.78420e11 | + | 3.63854e11i | 0.897044 | + | 0.371568i | ||||
\(463\) | − | 1.32544e12i | − | 1.34044i | −0.742164 | − | 0.670219i | \(-0.766200\pi\) | ||
0.742164 | − | 0.670219i | \(-0.233800\pi\) | |||||||
\(464\) | −6.01348e10 | + | 1.45178e11i | −0.0602276 | + | 0.145402i | ||||
\(465\) | −8.47066e11 | + | 3.50866e11i | −0.840193 | + | 0.348019i | ||||
\(466\) | −9.80867e8 | − | 2.36802e9i | −0.000963549 | − | 0.00232621i | ||||
\(467\) | 1.54807e11 | + | 1.54807e11i | 0.150614 | + | 0.150614i | 0.778392 | − | 0.627778i | \(-0.216035\pi\) |
−0.627778 | + | 0.778392i | \(0.716035\pi\) | |||||||
\(468\) | 2.02914e11 | + | 2.02914e11i | 0.195527 | + | 0.195527i | ||||
\(469\) | −6.84108e11 | − | 1.65158e12i | −0.652900 | − | 1.57624i | ||||
\(470\) | 2.12298e12 | − | 8.79366e11i | 2.00680 | − | 0.831245i | ||||
\(471\) | 6.35948e10 | − | 1.53532e11i | 0.0595426 | − | 0.143749i | ||||
\(472\) | 7.15745e11i | 0.663773i | ||||||||
\(473\) | 1.99358e11 | + | 8.25767e10i | 0.183129 | + | 0.0758547i | ||||
\(474\) | 1.60944e12 | − | 1.60944e12i | 1.46445 | − | 1.46445i | ||||
\(475\) | 1.72524e11 | 0.155499 | ||||||||
\(476\) | −6.96553e11 | − | 2.57529e12i | −0.621904 | − | 2.29929i | ||||
\(477\) | −1.24523e11 | −0.110132 | ||||||||
\(478\) | −1.73450e12 | + | 1.73450e12i | −1.51967 | + | 1.51967i | ||||
\(479\) | 1.31223e12 | + | 5.43542e11i | 1.13893 | + | 0.471762i | 0.870809 | − | 0.491622i | \(-0.163596\pi\) |
0.268126 | + | 0.963384i | \(0.413596\pi\) | |||||||
\(480\) | − | 1.49350e12i | − | 1.28416i | ||||||
\(481\) | 2.84925e11 | − | 6.87869e11i | 0.242704 | − | 0.585940i | ||||
\(482\) | −1.90157e12 | + | 7.87657e11i | −1.60473 | + | 0.664700i | ||||
\(483\) | −1.15914e12 | − | 2.79841e12i | −0.969112 | − | 2.33964i | ||||
\(484\) | 9.69446e11 | + | 9.69446e11i | 0.803007 | + | 0.803007i | ||||
\(485\) | 1.02830e12 | + | 1.02830e12i | 0.843884 | + | 0.843884i | ||||
\(486\) | −4.02703e11 | − | 9.72210e11i | −0.327432 | − | 0.790491i | ||||
\(487\) | −6.84513e11 | + | 2.83534e11i | −0.551444 | + | 0.228415i | −0.640966 | − | 0.767569i | \(-0.721466\pi\) |
0.0895223 | + | 0.995985i | \(0.471466\pi\) | |||||||
\(488\) | −5.94061e11 | + | 1.43419e12i | −0.474178 | + | 1.14477i | ||||
\(489\) | 1.09925e12i | 0.869371i | ||||||||
\(490\) | 4.02582e12 | + | 1.66755e12i | 3.15480 | + | 1.30676i | ||||
\(491\) | −1.61010e12 | + | 1.61010e12i | −1.25022 | + | 1.25022i | −0.294593 | + | 0.955623i | \(0.595184\pi\) |
−0.955623 | + | 0.294593i | \(0.904816\pi\) | |||||||
\(492\) | 6.15126e11 | 0.473283 | ||||||||
\(493\) | 4.11865e11 | + | 2.36498e11i | 0.314010 | + | 0.180309i | ||||
\(494\) | −5.95759e11 | −0.450090 | ||||||||
\(495\) | −1.37861e11 | + | 1.37861e11i | −0.103209 | + | 0.103209i | ||||
\(496\) | 4.97711e11 | + | 2.06159e11i | 0.369241 | + | 0.152945i | ||||
\(497\) | − | 2.79438e11i | − | 0.205439i | ||||||
\(498\) | 9.18426e11 | − | 2.21728e12i | 0.669133 | − | 1.61543i | ||||
\(499\) | −1.30535e11 | + | 5.40696e10i | −0.0942489 | + | 0.0390392i | −0.429310 | − | 0.903157i | \(-0.641243\pi\) |
0.335061 | + | 0.942196i | \(0.391243\pi\) | |||||||
\(500\) | 5.53681e11 | + | 1.33670e12i | 0.396182 | + | 0.956468i | ||||
\(501\) | 1.13854e12 | + | 1.13854e12i | 0.807381 | + | 0.807381i | ||||
\(502\) | 9.15981e11 | + | 9.15981e11i | 0.643753 | + | 0.643753i | ||||
\(503\) | 6.47964e11 | + | 1.56432e12i | 0.451331 | + | 1.08961i | 0.971817 | + | 0.235739i | \(0.0757509\pi\) |
−0.520486 | + | 0.853870i | \(0.674249\pi\) | |||||||
\(504\) | 4.05536e11 | − | 1.67979e11i | 0.279958 | − | 0.115962i | ||||
\(505\) | −9.48733e11 | + | 2.29044e12i | −0.649131 | + | 1.56714i | ||||
\(506\) | 1.76113e12i | 1.19430i | ||||||||
\(507\) | 6.08924e11 | + | 2.52224e11i | 0.409286 | + | 0.169532i | ||||
\(508\) | 1.46164e12 | − | 1.46164e12i | 0.973764 | − | 0.973764i | ||||
\(509\) | −1.99900e12 | −1.32003 | −0.660015 | − | 0.751253i | \(-0.729450\pi\) | ||||
−0.660015 | + | 0.751253i | \(0.729450\pi\) | |||||||
\(510\) | −2.32297e12 | − | 3.00259e11i | −1.52047 | − | 0.196531i | ||||
\(511\) | 3.94311e12 | 2.55826 | ||||||||
\(512\) | −9.19037e11 | + | 9.19037e11i | −0.591042 | + | 0.591042i | ||||
\(513\) | 6.62869e11 | + | 2.74569e11i | 0.422571 | + | 0.175034i | ||||
\(514\) | 1.07971e12i | 0.682297i | ||||||||
\(515\) | −2.91509e11 | + | 7.03766e11i | −0.182608 | + | 0.440855i | ||||
\(516\) | −8.01029e11 | + | 3.31797e11i | −0.497422 | + | 0.206039i | ||||
\(517\) | −3.24943e11 | − | 7.84482e11i | −0.200032 | − | 0.482921i | ||||
\(518\) | −2.80373e12 | − | 2.80373e12i | −1.71101 | − | 1.71101i | ||||
\(519\) | −5.55907e11 | − | 5.55907e11i | −0.336317 | − | 0.336317i | ||||
\(520\) | 3.21732e11 | + | 7.76730e11i | 0.192965 | + | 0.465860i | ||||
\(521\) | 1.92119e12 | − | 7.95783e11i | 1.14235 | − | 0.473179i | 0.270391 | − | 0.962751i | \(-0.412847\pi\) |
0.871963 | + | 0.489572i | \(0.162847\pi\) | |||||||
\(522\) | −1.04113e11 | + | 2.51351e11i | −0.0613746 | + | 0.148171i | ||||
\(523\) | 9.71740e11i | 0.567927i | 0.958835 | + | 0.283963i | \(0.0916495\pi\) | ||||
−0.958835 | + | 0.283963i | \(0.908351\pi\) | |||||||
\(524\) | −3.79361e12 | − | 1.57137e12i | −2.19817 | − | 0.910514i | ||||
\(525\) | 6.52435e11 | − | 6.52435e11i | 0.374818 | − | 0.374818i | ||||
\(526\) | 7.78134e11 | 0.443219 | ||||||||
\(527\) | 8.10781e11 | − | 1.41198e12i | 0.457884 | − | 0.797411i | ||||
\(528\) | −2.86372e11 | −0.160353 | ||||||||
\(529\) | 2.69360e12 | − | 2.69360e12i | 1.49549 | − | 1.49549i | ||||
\(530\) | −1.17345e12 | − | 4.86059e11i | −0.645986 | − | 0.267576i | ||||
\(531\) | − | 5.56220e11i | − | 0.303614i | ||||||
\(532\) | −7.08878e11 | + | 1.71138e12i | −0.383680 | + | 0.926285i | ||||
\(533\) | 4.73969e11 | − | 1.96324e11i | 0.254377 | − | 0.105366i | ||||
\(534\) | 5.93415e10 | + | 1.43263e11i | 0.0315808 | + | 0.0762428i | ||||
\(535\) | −2.18146e12 | − | 2.18146e12i | −1.15121 | − | 1.15121i | ||||
\(536\) | −8.48214e11 | − | 8.48214e11i | −0.443878 | − | 0.443878i | ||||
\(537\) | −1.97193e11 | − | 4.76066e11i | −0.102331 | − | 0.247049i | ||||
\(538\) | 1.84965e12 | − | 7.66152e11i | 0.951854 | − | 0.394271i | ||||
\(539\) | 6.16192e11 | − | 1.48762e12i | 0.314461 | − | 0.759176i | ||||
\(540\) | − | 3.52509e12i | − | 1.78402i | ||||||
\(541\) | −2.39530e12 | − | 9.92167e11i | −1.20219 | − | 0.497963i | −0.310484 | − | 0.950579i | \(-0.600491\pi\) |
−0.891706 | + | 0.452616i | \(0.850491\pi\) | |||||||
\(542\) | −8.25085e11 | + | 8.25085e11i | −0.410678 | + | 0.410678i | ||||
\(543\) | 1.57127e12 | 0.775623 | ||||||||
\(544\) | 1.61954e12 | + | 2.10036e12i | 0.792858 | + | 1.02825i | ||||
\(545\) | 9.63098e11 | 0.467613 | ||||||||
\(546\) | −2.25298e12 | + | 2.25298e12i | −1.08490 | + | 1.08490i | ||||
\(547\) | 5.16273e11 | + | 2.13847e11i | 0.246568 | + | 0.102132i | 0.502545 | − | 0.864551i | \(-0.332397\pi\) |
−0.255977 | + | 0.966683i | \(0.582397\pi\) | |||||||
\(548\) | 1.79783e12i | 0.851600i | ||||||||
\(549\) | 4.61657e11 | − | 1.11454e12i | 0.216892 | − | 0.523624i | ||||
\(550\) | −4.95635e11 | + | 2.05299e11i | −0.230956 | + | 0.0956652i | ||||
\(551\) | −1.26197e11 | − | 3.04666e11i | −0.0583266 | − | 0.140813i | ||||
\(552\) | −1.43720e12 | − | 1.43720e12i | −0.658857 | − | 0.658857i | ||||
\(553\) | −4.17357e12 | − | 4.17357e12i | −1.89777 | − | 1.89777i | ||||
\(554\) | 4.59348e11 | + | 1.10896e12i | 0.207180 | + | 0.500177i | ||||
\(555\) | −1.87781e12 | + | 7.77813e11i | −0.840103 | + | 0.347982i | ||||
\(556\) | 2.22478e11 | − | 5.37110e11i | 0.0987304 | − | 0.238356i | ||||
\(557\) | 3.73545e12i | 1.64435i | 0.569235 | + | 0.822175i | \(0.307239\pi\) | ||||
−0.569235 | + | 0.822175i | \(0.692761\pi\) | |||||||
\(558\) | 8.61701e11 | + | 3.56928e11i | 0.376273 | + | 0.155857i | ||||
\(559\) | −5.11315e11 | + | 5.11315e11i | −0.221480 | + | 0.221480i | ||||
\(560\) | −2.00967e12 | −0.863532 | ||||||||
\(561\) | −1.10952e11 | + | 8.58384e11i | −0.0472934 | + | 0.365888i | ||||
\(562\) | −2.34969e12 | −0.993566 | ||||||||
\(563\) | 3.38714e11 | − | 3.38714e11i | 0.142084 | − | 0.142084i | −0.632487 | − | 0.774571i | \(-0.717966\pi\) |
0.774571 | + | 0.632487i | \(0.217966\pi\) | |||||||
\(564\) | 3.15209e12 | + | 1.30564e12i | 1.31172 | + | 0.543334i | ||||
\(565\) | 2.39632e12i | 0.989299i | ||||||||
\(566\) | −2.82243e11 | + | 6.81394e11i | −0.115598 | + | 0.279077i | ||||
\(567\) | 2.44213e12 | − | 1.01156e12i | 0.992305 | − | 0.411026i | ||||
\(568\) | −7.17564e10 | − | 1.73235e11i | −0.0289263 | − | 0.0698343i | ||||
\(569\) | 3.32872e12 | + | 3.32872e12i | 1.33129 | + | 1.33129i | 0.904219 | + | 0.427070i | \(0.140454\pi\) |
0.427070 | + | 0.904219i | \(0.359546\pi\) | |||||||
\(570\) | 1.15001e12 | + | 1.15001e12i | 0.456314 | + | 0.456314i | ||||
\(571\) | 1.77861e11 | + | 4.29395e11i | 0.0700195 | + | 0.169042i | 0.955015 | − | 0.296558i | \(-0.0958387\pi\) |
−0.884995 | + | 0.465600i | \(0.845839\pi\) | |||||||
\(572\) | 9.99269e11 | − | 4.13911e11i | 0.390302 | − | 0.161668i | ||||
\(573\) | 2.16567e10 | − | 5.22840e10i | 0.00839262 | − | 0.0202616i | ||||
\(574\) | − | 2.73209e12i | − | 1.05049i | ||||||
\(575\) | 1.57896e12 | + | 6.54027e11i | 0.602374 | + | 0.249511i | ||||
\(576\) | −8.42320e11 | + | 8.42320e11i | −0.318842 | + | 0.318842i | ||||
\(577\) | −1.23582e11 | −0.0464158 | −0.0232079 | − | 0.999731i | \(-0.507388\pi\) | ||||
−0.0232079 | + | 0.999731i | \(0.507388\pi\) | |||||||
\(578\) | 3.59246e12 | − | 2.09674e12i | 1.33880 | − | 0.781393i | ||||
\(579\) | 1.64345e12 | 0.607719 | ||||||||
\(580\) | −1.14565e12 | + | 1.14565e12i | −0.420365 | + | 0.420365i | ||||
\(581\) | −5.74978e12 | − | 2.38164e12i | −2.09343 | − | 0.867128i | ||||
\(582\) | 3.69819e12i | 1.33609i | ||||||||
\(583\) | −1.79609e11 | + | 4.33613e11i | −0.0643900 | + | 0.155451i | ||||
\(584\) | 2.44450e12 | − | 1.01254e12i | 0.869624 | − | 0.360210i | ||||
\(585\) | −2.50025e11 | − | 6.03613e11i | −0.0882635 | − | 0.213087i | ||||
\(586\) | −8.78432e11 | − | 8.78432e11i | −0.307729 | − | 0.307729i | ||||
\(587\) | −2.01954e12 | − | 2.01954e12i | −0.702071 | − | 0.702071i | 0.262784 | − | 0.964855i | \(-0.415359\pi\) |
−0.964855 | + | 0.262784i | \(0.915359\pi\) | |||||||
\(588\) | 2.47589e12 | + | 5.97733e12i | 0.854149 | + | 2.06210i | ||||
\(589\) | −1.04448e12 | + | 4.32637e11i | −0.357586 | + | 0.148117i | ||||
\(590\) | 2.17114e12 | − | 5.24160e12i | 0.737656 | − | 1.78086i | ||||
\(591\) | − | 3.35559e12i | − | 1.13142i | ||||||
\(592\) | 1.10334e12 | + | 4.57020e11i | 0.369201 | + | 0.152928i | ||||
\(593\) | 4.71365e11 | − | 4.71365e11i | 0.156535 | − | 0.156535i | −0.624494 | − | 0.781029i | \(-0.714695\pi\) |
0.781029 | + | 0.624494i | \(0.214695\pi\) | |||||||
\(594\) | −2.23105e12 | −0.735308 | ||||||||
\(595\) | −7.78623e11 | + | 6.02386e12i | −0.254684 | + | 1.97037i | ||||
\(596\) | 3.06358e12 | 0.994538 | ||||||||
\(597\) | 2.09551e12 | − | 2.09551e12i | 0.675159 | − | 0.675159i | ||||
\(598\) | −5.45245e12 | − | 2.25848e12i | −1.74356 | − | 0.722205i | ||||
\(599\) | 2.92151e11i | 0.0927230i | 0.998925 | + | 0.0463615i | \(0.0147626\pi\) | ||||
−0.998925 | + | 0.0463615i | \(0.985237\pi\) | |||||||
\(600\) | 2.36934e11 | − | 5.72009e11i | 0.0746356 | − | 0.180186i | ||||
\(601\) | −3.53766e12 | + | 1.46535e12i | −1.10607 | + | 0.458147i | −0.859581 | − | 0.511000i | \(-0.829275\pi\) |
−0.246484 | + | 0.969147i | \(0.579275\pi\) | |||||||
\(602\) | 1.47368e12 | + | 3.55778e12i | 0.457320 | + | 1.10407i | ||||
\(603\) | 6.59164e11 | + | 6.59164e11i | 0.203033 | + | 0.203033i | ||||
\(604\) | 4.27259e12 | + | 4.27259e12i | 1.30625 | + | 1.30625i | ||||
\(605\) | −1.19452e12 | − | 2.88383e12i | −0.362488 | − | 0.875124i | ||||
\(606\) | −5.82469e12 | + | 2.41266e12i | −1.75447 | + | 0.726725i | ||||
\(607\) | −6.36037e11 | + | 1.53553e12i | −0.190166 | + | 0.459102i | −0.989991 | − | 0.141132i | \(-0.954926\pi\) |
0.799825 | + | 0.600234i | \(0.204926\pi\) | |||||||
\(608\) | − | 1.84157e12i | − | 0.546539i | ||||||
\(609\) | −1.62940e12 | − | 6.74918e11i | −0.480008 | − | 0.198826i | ||||
\(610\) | 8.70094e12 | − | 8.70094e12i | 2.54438 | − | 2.54438i | ||||
\(611\) | 2.84547e12 | 0.825977 | ||||||||
\(612\) | 8.49490e11 | + | 1.10169e12i | 0.244781 | + | 0.317453i | ||||
\(613\) | −3.34407e12 | −0.956540 | −0.478270 | − | 0.878213i | \(-0.658736\pi\) | ||||
−0.478270 | + | 0.878213i | \(0.658736\pi\) | |||||||
\(614\) | 2.35272e11 | − | 2.35272e11i | 0.0668056 | − | 0.0668056i | ||||
\(615\) | −1.29388e12 | − | 5.35944e11i | −0.364718 | − | 0.151071i | ||||
\(616\) | − | 1.65445e12i | − | 0.462957i | ||||||
\(617\) | 1.15640e12 | − | 2.79180e12i | 0.321236 | − | 0.775533i | −0.677946 | − | 0.735111i | \(-0.737130\pi\) |
0.999183 | − | 0.0404218i | \(-0.0128702\pi\) | |||||||
\(618\) | −1.78970e12 | + | 7.41320e11i | −0.493552 | + | 0.204436i | ||||
\(619\) | 1.68883e12 | + | 4.07720e12i | 0.462357 | + | 1.11623i | 0.967427 | + | 0.253151i | \(0.0814669\pi\) |
−0.505069 | + | 0.863079i | \(0.668533\pi\) | |||||||
\(620\) | 3.92761e12 | + | 3.92761e12i | 1.06749 | + | 1.06749i | ||||
\(621\) | 5.02577e12 | + | 5.02577e12i | 1.35610 | + | 1.35610i | ||||
\(622\) | −2.10011e12 | − | 5.07011e12i | −0.562580 | − | 1.35819i | ||||
\(623\) | 3.71506e11 | − | 1.53883e11i | 0.0988029 | − | 0.0409255i | ||||
\(624\) | 3.67245e11 | − | 8.86609e11i | 0.0969674 | − | 0.234100i | ||||
\(625\) | − | 4.70333e12i | − | 1.23295i | ||||||
\(626\) | 2.57103e12 | + | 1.06495e12i | 0.669148 | + | 0.277170i | ||||
\(627\) | 4.24951e11 | − | 4.24951e11i | 0.109808 | − | 0.109808i | ||||
\(628\) | −1.00675e12 | −0.258288 | ||||||||
\(629\) | 1.79737e12 | − | 3.13014e12i | 0.457835 | − | 0.797325i | ||||
\(630\) | −3.47940e12 | −0.879977 | ||||||||
\(631\) | 1.83030e12 | − | 1.83030e12i | 0.459610 | − | 0.459610i | −0.438918 | − | 0.898527i | \(-0.644638\pi\) |
0.898527 | + | 0.438918i | \(0.144638\pi\) | |||||||
\(632\) | −3.65909e12 | − | 1.51564e12i | −0.912318 | − | 0.377894i | ||||
\(633\) | 2.13798e12i | 0.529281i | ||||||||
\(634\) | −1.69275e12 | + | 4.08665e12i | −0.416093 | + | 1.00454i | ||||
\(635\) | −4.34796e12 | + | 1.80099e12i | −1.06122 | + | 0.439570i | ||||
\(636\) | −7.21676e11 | − | 1.74228e12i | −0.174898 | − | 0.422242i | ||||
\(637\) | 3.81546e12 | + | 3.81546e12i | 0.918163 | + | 0.918163i | ||||
\(638\) | 7.25087e11 | + | 7.25087e11i | 0.173260 | + | 0.173260i | ||||
\(639\) | 5.57634e10 | + | 1.34625e11i | 0.0132311 | + | 0.0319426i | ||||
\(640\) | −5.26741e12 | + | 2.18183e12i | −1.24104 | + | 0.514058i | ||||
\(641\) | 8.55967e11 | − | 2.06649e12i | 0.200261 | − | 0.483472i | −0.791563 | − | 0.611088i | \(-0.790732\pi\) |
0.991824 | + | 0.127615i | \(0.0407323\pi\) | |||||||
\(642\) | − | 7.84539e12i | − | 1.82267i | ||||||
\(643\) | −3.93067e12 | − | 1.62814e12i | −0.906813 | − | 0.375614i | −0.119977 | − | 0.992777i | \(-0.538282\pi\) |
−0.786836 | + | 0.617162i | \(0.788282\pi\) | |||||||
\(644\) | −1.29755e13 | + | 1.29755e13i | −2.97260 | + | 2.97260i | ||||
\(645\) | 1.97401e12 | 0.449086 | ||||||||
\(646\) | −2.86435e12 | − | 3.70236e11i | −0.647112 | − | 0.0836434i | ||||
\(647\) | 3.30319e11 | 0.0741079 | 0.0370539 | − | 0.999313i | \(-0.488203\pi\) | ||||
0.0370539 | + | 0.999313i | \(0.488203\pi\) | |||||||
\(648\) | 1.25422e12 | − | 1.25422e12i | 0.279438 | − | 0.279438i | ||||
\(649\) | −1.93687e12 | − | 8.02280e11i | −0.428549 | − | 0.177511i | ||||
\(650\) | − | 1.79776e12i | − | 0.395023i | ||||||
\(651\) | −2.31380e12 | + | 5.58601e12i | −0.504907 | + | 1.21895i | ||||
\(652\) | 6.15249e12 | − | 2.54845e12i | 1.33333 | − | 0.552283i | ||||
\(653\) | −5.17745e11 | − | 1.24995e12i | −0.111431 | − | 0.269019i | 0.858320 | − | 0.513115i | \(-0.171509\pi\) |
−0.969751 | + | 0.244097i | \(0.921509\pi\) | |||||||
\(654\) | 1.73184e12 | + | 1.73184e12i | 0.370177 | + | 0.370177i | ||||
\(655\) | 6.61055e12 | + | 6.61055e12i | 1.40330 | + | 1.40330i | ||||
\(656\) | 3.14905e11 | + | 7.60247e11i | 0.0663914 | + | 0.160283i | ||||
\(657\) | −1.89967e12 | + | 7.86868e11i | −0.397771 | + | 0.164762i | ||||
\(658\) | 5.79901e12 | − | 1.40001e13i | 1.20597 | − | 2.91148i | ||||
\(659\) | 3.08677e12i | 0.637558i | 0.947829 | + | 0.318779i | \(0.103273\pi\) | ||||
−0.947829 | + | 0.318779i | \(0.896727\pi\) | |||||||
\(660\) | −2.72789e12 | − | 1.12993e12i | −0.559603 | − | 0.231795i | ||||
\(661\) | −4.35438e12 | + | 4.35438e12i | −0.887197 | + | 0.887197i | −0.994253 | − | 0.107056i | \(-0.965858\pi\) |
0.107056 | + | 0.994253i | \(0.465858\pi\) | |||||||
\(662\) | 3.78768e12 | 0.766500 | ||||||||
\(663\) | −2.51527e12 | − | 1.44430e12i | −0.505561 | − | 0.290300i | ||||
\(664\) | −4.17610e12 | −0.833710 | ||||||||
\(665\) | 2.98217e12 | − | 2.98217e12i | 0.591336 | − | 0.591336i | ||||
\(666\) | 1.91025e12 | + | 7.91252e11i | 0.376233 | + | 0.155841i | ||||
\(667\) | − | 3.26674e12i | − | 0.639070i | ||||||
\(668\) | 3.73288e12 | − | 9.01197e12i | 0.725354 | − | 1.75116i | ||||
\(669\) | −3.61768e12 | + | 1.49849e12i | −0.698252 | + | 0.289226i | ||||
\(670\) | 3.63873e12 | + | 8.78466e12i | 0.697610 | + | 1.68418i | ||||
\(671\) | −3.21517e12 | − | 3.21517e12i | −0.612284 | − | 0.612284i | ||||
\(672\) | −6.96425e12 | − | 6.96425e12i | −1.31739 | − | 1.31739i | ||||
\(673\) | −3.03457e12 | − | 7.32610e12i | −0.570202 | − | 1.37659i | −0.901383 | − | 0.433023i | \(-0.857447\pi\) |
0.331180 | − | 0.943567i | \(-0.392553\pi\) | |||||||
\(674\) | −7.75247e12 | + | 3.21118e12i | −1.44701 | + | 0.599370i | ||||
\(675\) | −8.28539e11 | + | 2.00027e12i | −0.153619 | + | 0.370870i | ||||
\(676\) | − | 3.99290e12i | − | 0.735408i | ||||||
\(677\) | 2.27590e12 | + | 9.42708e11i | 0.416393 | + | 0.172476i | 0.581037 | − | 0.813877i | \(-0.302647\pi\) |
−0.164643 | + | 0.986353i | \(0.552647\pi\) | |||||||
\(678\) | −4.30907e12 | + | 4.30907e12i | −0.783159 | + | 0.783159i | ||||
\(679\) | 9.59003e12 | 1.73143 | ||||||||
\(680\) | 1.06415e12 | + | 3.93438e12i | 0.190860 | + | 0.705645i | ||||
\(681\) | 4.34579e12 | 0.774295 | ||||||||
\(682\) | 2.48580e12 | − | 2.48580e12i | 0.439983 | − | 0.439983i | ||||
\(683\) | −5.24772e12 | − | 2.17368e12i | −0.922736 | − | 0.382210i | −0.129818 | − | 0.991538i | \(-0.541439\pi\) |
−0.792918 | + | 0.609328i | \(0.791439\pi\) | |||||||
\(684\) | − | 9.65951e11i | − | 0.168734i | ||||||
\(685\) | 1.56640e12 | − | 3.78163e12i | 0.271829 | − | 0.656252i | ||||
\(686\) | 1.24449e13 | − | 5.15486e12i | 2.14553 | − | 0.888707i | ||||
\(687\) | −2.62937e11 | − | 6.34786e11i | −0.0450346 | − | 0.108723i | ||||
\(688\) | −8.20150e11 | − | 8.20150e11i | −0.139555 | − | 0.139555i | ||||
\(689\) | −1.11214e12 | − | 1.11214e12i | −0.188006 | − | 0.188006i | ||||
\(690\) | 6.16540e12 | + | 1.48846e13i | 1.03548 | + | 2.49986i | ||||
\(691\) | 5.02719e12 | − | 2.08233e12i | 0.838830 | − | 0.347455i | 0.0784376 | − | 0.996919i | \(-0.475007\pi\) |
0.760392 | + | 0.649464i | \(0.225007\pi\) | |||||||
\(692\) | −1.82263e12 | + | 4.40021e12i | −0.302148 | + | 0.729451i | ||||
\(693\) | 1.28571e12i | 0.211759i | ||||||||
\(694\) | 4.31975e12 | + | 1.78930e12i | 0.706872 | + | 0.292796i | ||||
\(695\) | −9.35940e11 | + | 9.35940e11i | −0.152166 | + | 0.152166i | ||||
\(696\) | −1.18344e12 | −0.191163 | ||||||||
\(697\) | 2.40080e12 | − | 6.49358e11i | 0.385308 | − | 0.104217i | ||||
\(698\) | 3.53000e12 | 0.562892 | ||||||||
\(699\) | −6.12667e9 | + | 6.12667e9i | −0.000970682 | + | 0.000970682i | ||||
\(700\) | −5.16426e12 | − | 2.13911e12i | −0.812956 | − | 0.336738i | ||||
\(701\) | − | 7.42727e11i | − | 0.116171i | −0.998312 | − | 0.0580856i | \(-0.981500\pi\) | ||
0.998312 | − | 0.0580856i | \(-0.0184996\pi\) | |||||||
\(702\) | 2.86110e12 | − | 6.90732e12i | 0.444648 | − | 1.07348i | ||||
\(703\) | −2.31544e12 | + | 9.59086e11i | −0.357548 | + | 0.148101i | ||||
\(704\) | 1.71819e12 | + | 4.14807e12i | 0.263629 | + | 0.636458i | ||||
\(705\) | −5.49267e12 | − | 5.49267e12i | −0.837399 | − | 0.837399i | ||||
\(706\) | −2.29333e12 | − | 2.29333e12i | −0.347413 | − | 0.347413i | ||||
\(707\) | 6.25646e12 | + | 1.51044e13i | 0.941762 | + | 2.27361i | ||||
\(708\) | 7.78246e12 | − | 3.22360e12i | 1.16404 | − | 0.482160i | ||||
\(709\) | −2.18949e12 | + | 5.28591e12i | −0.325414 | + | 0.785618i | 0.673508 | + | 0.739180i | \(0.264787\pi\) |
−0.998921 | + | 0.0464375i | \(0.985213\pi\) | |||||||
\(710\) | 1.48631e12i | 0.219507i | ||||||||
\(711\) | 2.84355e12 | + | 1.17784e12i | 0.417300 | + | 0.172851i | ||||
\(712\) | 1.90797e11 | − | 1.90797e11i | 0.0278234 | − | 0.0278234i | ||||
\(713\) | −1.11993e13 | −1.62288 | ||||||||
\(714\) | −1.22322e13 | + | 9.43199e12i | −1.76142 | + | 1.35819i | ||||
\(715\) | −2.46253e12 | −0.352375 | ||||||||
\(716\) | −2.20738e12 | + | 2.20738e12i | −0.313884 | + | 0.313884i | ||||
\(717\) | 7.66077e12 | + | 3.17320e12i | 1.08252 | + | 0.448395i | ||||
\(718\) | 1.41794e13i | 1.99112i | ||||||||
\(719\) | −1.84267e12 | + | 4.44860e12i | −0.257139 | + | 0.620788i | −0.998747 | − | 0.0500453i | \(-0.984063\pi\) |
0.741608 | + | 0.670833i | \(0.234063\pi\) | |||||||
\(720\) | 9.68196e11 | − | 4.01040e11i | 0.134266 | − | 0.0556149i | ||||
\(721\) | 1.92237e12 | + | 4.64101e12i | 0.264928 | + | 0.639594i | ||||
\(722\) | −6.58542e12 | − | 6.58542e12i | −0.901916 | − | 0.901916i | ||||
\(723\) | 4.91984e12 | + | 4.91984e12i | 0.669621 | + | 0.669621i | ||||
\(724\) | −3.64276e12 | − | 8.79440e12i | −0.492728 | − | 1.18955i | ||||
\(725\) | 9.19360e11 | − | 3.80811e11i | 0.123585 | − | 0.0511905i | ||||
\(726\) | 3.03771e12 | − | 7.33368e12i | 0.405818 | − | 0.979732i | ||||
\(727\) | − | 1.09017e13i | − | 1.44740i | −0.690114 | − | 0.723700i | \(-0.742440\pi\) | ||
0.690114 | − | 0.723700i | \(-0.257560\pi\) | |||||||
\(728\) | 5.12218e12 | + | 2.12168e12i | 0.675870 | + | 0.279955i | ||||
\(729\) | −5.92658e12 | + | 5.92658e12i | −0.777196 | + | 0.777196i | ||||
\(730\) | −2.09732e13 | −2.73345 | ||||||||
\(731\) | −2.77611e12 | + | 2.14059e12i | −0.359590 | + | 0.277272i | ||||
\(732\) | 1.82698e13 | 2.35198 | ||||||||
\(733\) | −3.75785e12 | + | 3.75785e12i | −0.480808 | + | 0.480808i | −0.905390 | − | 0.424581i | \(-0.860421\pi\) |
0.424581 | + | 0.905390i | \(0.360421\pi\) | |||||||
\(734\) | 1.76015e13 | + | 7.29079e12i | 2.23830 | + | 0.927133i | ||||
\(735\) | − | 1.47301e13i | − | 1.86172i | ||||||
\(736\) | 6.98124e12 | − | 1.68542e13i | 0.876966 | − | 2.11718i | ||||
\(737\) | 3.24611e12 | − | 1.34458e12i | 0.405284 | − | 0.167874i | ||||
\(738\) | 5.45203e11 | + | 1.31624e12i | 0.0676558 | + | 0.163335i | ||||
\(739\) | 6.89708e12 | + | 6.89708e12i | 0.850678 | + | 0.850678i | 0.990217 | − | 0.139538i | \(-0.0445619\pi\) |
−0.139538 | + | 0.990217i | \(0.544562\pi\) | |||||||
\(740\) | 8.70686e12 | + | 8.70686e12i | 1.06738 | + | 1.06738i | ||||
\(741\) | 7.70688e11 | + | 1.86061e12i | 0.0939068 | + | 0.226711i | ||||
\(742\) | −7.73836e12 | + | 3.20534e12i | −0.937198 | + | 0.388200i | ||||
\(743\) | 1.41379e12 | − | 3.41319e12i | 0.170191 | − | 0.410876i | −0.815654 | − | 0.578541i | \(-0.803622\pi\) |
0.985844 | + | 0.167664i | \(0.0536225\pi\) | |||||||
\(744\) | 4.05716e12i | 0.485449i | ||||||||
\(745\) | −6.44407e12 | − | 2.66922e12i | −0.766402 | − | 0.317454i | ||||
\(746\) | 1.74147e12 | − | 1.74147e12i | 0.205869 | − | 0.205869i | ||||
\(747\) | 3.24534e12 | 0.381344 | ||||||||
\(748\) | 5.06161e12 | − | 1.36904e12i | 0.591196 | − | 0.159904i | ||||
\(749\) | −2.03445e13 | −2.36199 | ||||||||
\(750\) | 5.92343e12 | − | 5.92343e12i | 0.683593 | − | 0.683593i | ||||
\(751\) | −9.05554e12 | − | 3.75093e12i | −1.03881 | − | 0.430288i | −0.202923 | − | 0.979195i | \(-0.565044\pi\) |
−0.835883 | + | 0.548907i | \(0.815044\pi\) | |||||||
\(752\) | 4.56413e12i | 0.520449i | ||||||||
\(753\) | 1.67575e12 | − | 4.04562e12i | 0.189947 | − | 0.458572i | ||||
\(754\) | −3.17473e12 | + | 1.31501e12i | −0.357713 | + | 0.148170i | ||||
\(755\) | −5.26455e12 | − | 1.27097e13i | −0.589658 | − | 1.42356i | ||||
\(756\) | −1.64377e13 | − | 1.64377e13i | −1.83017 | − | 1.83017i | ||||
\(757\) | 2.24931e11 | + | 2.24931e11i | 0.0248953 | + | 0.0248953i | 0.719445 | − | 0.694550i | \(-0.244396\pi\) |
−0.694550 | + | 0.719445i | \(0.744396\pi\) | |||||||
\(758\) | −4.52442e12 | − | 1.09229e13i | −0.497796 | − | 1.20179i | ||||
\(759\) | 5.50015e12 | − | 2.27824e12i | 0.601571 | − | 0.249179i | ||||
\(760\) | 1.08298e12 | − | 2.61455e12i | 0.117750 | − | 0.284273i | ||||
\(761\) | 1.17912e13i | 1.27446i | 0.770674 | + | 0.637230i | \(0.219920\pi\) | ||||
−0.770674 | + | 0.637230i | \(0.780080\pi\) | |||||||
\(762\) | −1.10570e13 | − | 4.57998e12i | −1.18807 | − | 0.492114i | ||||
\(763\) | 4.49097e12 | − | 4.49097e12i | 0.479711 | − | 0.479711i | ||||
\(764\) | −3.42842e11 | −0.0364061 | ||||||||
\(765\) | −8.26976e11 | − | 3.05749e12i | −0.0873005 | − | 0.322766i | ||||
\(766\) | 9.46161e12 | 0.992969 | ||||||||
\(767\) | 4.96772e12 | − | 4.96772e12i | 0.518296 | − | 0.518296i | ||||
\(768\) | −1.51533e12 | − | 6.27669e11i | −0.157174 | − | 0.0651037i | ||||
\(769\) | − | 6.40708e11i | − | 0.0660681i | −0.999454 | − | 0.0330341i | \(-0.989483\pi\) | ||
0.999454 | − | 0.0330341i | \(-0.0105170\pi\) | |||||||
\(770\) | −5.01860e12 | + | 1.21160e13i | −0.514487 | + | 1.24208i | ||||
\(771\) | 3.37203e12 | − | 1.39674e12i | 0.343674 | − | 0.142354i | ||||
\(772\) | −3.81011e12 | − | 9.19841e12i | −0.386064 | − | 0.932041i | ||||
\(773\) | −1.16151e13 | − | 1.16151e13i | −1.17008 | − | 1.17008i | −0.982190 | − | 0.187889i | \(-0.939835\pi\) |
−0.187889 | − | 0.982190i | \(-0.560165\pi\) | |||||||
\(774\) | −1.41995e12 | − | 1.41995e12i | −0.142213 | − | 0.142213i | ||||
\(775\) | −1.30553e12 | − | 3.15182e12i | −0.129995 | − | 0.313837i | ||||
\(776\) | 5.94526e12 | − | 2.46261e12i | 0.588563 | − | 0.243791i | ||||
\(777\) | −5.12932e12 | + | 1.23833e13i | −0.504853 | + | 1.21882i | ||||
\(778\) | 2.45089e13i | 2.39836i | ||||||||
\(779\) | −1.59543e12 | − | 6.60848e11i | −0.155224 | − | 0.0642958i | ||||
\(780\) | 6.99653e12 | − | 6.99653e12i | 0.676795 | − | 0.676795i | ||||
\(781\) | 5.49223e11 | 0.0528225 | ||||||||
\(782\) | −2.48113e13 | − | 1.42470e13i | −2.37257 | − | 1.36236i | ||||
\(783\) | 4.13840e12 | 0.393464 | ||||||||
\(784\) | −6.12001e12 | + | 6.12001e12i | −0.578535 | + | 0.578535i | ||||
\(785\) | 2.11765e12 | + | 8.77158e11i | 0.199040 | + | 0.0824450i | ||||
\(786\) | 2.37742e13i | 2.22180i | ||||||||
\(787\) | −1.12916e12 | + | 2.72604e12i | −0.104923 | + | 0.253307i | −0.967619 | − | 0.252417i | \(-0.918774\pi\) |
0.862695 | + | 0.505724i | \(0.168774\pi\) | |||||||
\(788\) | −1.87813e13 | + | 7.77945e12i | −1.73523 | + | 0.718755i | ||||
\(789\) | −1.00661e12 | − | 2.43018e12i | −0.0924733 | − | 0.223250i | ||||
\(790\) | 2.21989e13 | + | 2.21989e13i | 2.02773 | + | 2.02773i | ||||
\(791\) | 1.11742e13 | + | 1.11742e13i | 1.01489 | + | 1.01489i | ||||
\(792\) | 3.30154e11 | + | 7.97063e11i | 0.0298163 | + | 0.0719829i | ||||
\(793\) | 1.40773e13 | − | 5.83102e12i | 1.26413 | − | 0.523618i | ||||
\(794\) | 7.22215e12 | − | 1.74358e13i | 0.644873 | − | 1.55686i | ||||
\(795\) | 4.29356e12i | 0.381211i | ||||||||
\(796\) | −1.65868e13 | − | 6.87047e12i | −1.46438 | − | 0.606565i | ||||
\(797\) | 8.12061e12 | − | 8.12061e12i | 0.712896 | − | 0.712896i | −0.254244 | − | 0.967140i | \(-0.581827\pi\) |
0.967140 | + | 0.254244i | \(0.0818266\pi\) | |||||||
\(798\) | 1.07251e13 | 0.936240 | ||||||||
\(799\) | 1.36807e13 | + | 1.76832e12i | 1.18754 | + | 0.153497i | ||||
\(800\) | 5.55711e12 | 0.479671 | ||||||||
\(801\) | −1.48272e11 | + | 1.48272e11i | −0.0127266 | + | 0.0127266i | ||||
\(802\) | −3.16857e12 | − | 1.31247e12i | −0.270445 | − | 0.112022i | ||||
\(803\) | 7.75000e12i | 0.657782i | ||||||||
\(804\) | −5.40260e12 | + | 1.30430e13i | −0.455985 | + | 1.10085i | ||||
\(805\) | 3.85983e13 | − | 1.59879e13i | 3.23956 | − | 1.34187i | ||||
\(806\) | 4.50823e12 | + | 1.08838e13i | 0.376269 | + | 0.908394i | ||||
\(807\) | −4.78552e12 | − | 4.78552e12i | −0.397190 | − | 0.397190i | ||||
\(808\) | 7.75727e12 | + | 7.75727e12i | 0.640262 | + | 0.640262i | ||||
\(809\) | −3.70871e12 | − | 8.95362e12i | −0.304407 | − | 0.734903i | −0.999867 | − | 0.0163380i | \(-0.994799\pi\) |
0.695460 | − | 0.718565i | \(-0.255201\pi\) | |||||||
\(810\) | −1.29895e13 | + | 5.38044e12i | −1.06026 | + | 0.439173i | ||||
\(811\) | −7.37068e12 | + | 1.77944e13i | −0.598293 | + | 1.44441i | 0.277028 | + | 0.960862i | \(0.410651\pi\) |
−0.875320 | + | 0.483544i | \(0.839349\pi\) | |||||||
\(812\) | 1.06844e13i | 0.862482i | ||||||||
\(813\) | 3.64416e12 | + | 1.50946e12i | 0.292543 | + | 0.121175i | ||||
\(814\) | 5.51060e12 | − | 5.51060e12i | 0.439936 | − | 0.439936i | ||||
\(815\) | −1.51618e13 | −1.20377 | ||||||||
\(816\) | 2.31666e12 | − | 4.03450e12i | 0.182918 | − | 0.318555i | ||||
\(817\) | 2.43406e12 | 0.191131 | ||||||||
\(818\) | −2.15168e13 | + | 2.15168e13i | −1.68031 | + | 1.68031i | ||||
\(819\) | −3.98055e12 | − | 1.64880e12i | −0.309147 | − | 0.128053i | ||||
\(820\) | 8.48438e12i | 0.655327i | ||||||||
\(821\) | 7.69464e12 | − | 1.85765e13i | 0.591077 | − | 1.42699i | −0.291387 | − | 0.956605i | \(-0.594117\pi\) |
0.882464 | − | 0.470380i | \(-0.155883\pi\) | |||||||
\(822\) | 9.61682e12 | − | 3.98342e12i | 0.734697 | − | 0.304322i | ||||
\(823\) | −3.91944e12 | − | 9.46236e12i | −0.297800 | − | 0.718952i | −0.999976 | − | 0.00694899i | \(-0.997788\pi\) |
0.702176 | − | 0.712003i | \(-0.252212\pi\) | |||||||
\(824\) | 2.38351e12 | + | 2.38351e12i | 0.180113 | + | 0.180113i | ||||
\(825\) | 1.28233e12 | + | 1.28233e12i | 0.0963734 | + | 0.0963734i | ||||
\(826\) | −1.43177e13 | − | 3.45659e13i | −1.07019 | − | 2.58367i | ||||
\(827\) | 8.31284e12 | − | 3.44329e12i | 0.617980 | − | 0.255976i | −0.0516562 | − | 0.998665i | \(-0.516450\pi\) |
0.669636 | + | 0.742689i | \(0.266450\pi\) | |||||||
\(828\) | 3.66185e12 | − | 8.84049e12i | 0.270747 | − | 0.653642i | ||||
\(829\) | 8.74712e12i | 0.643235i | 0.946870 | + | 0.321617i | \(0.104226\pi\) | ||||
−0.946870 | + | 0.321617i | \(0.895774\pi\) | |||||||
\(830\) | 3.05827e13 | + | 1.26678e13i | 2.23679 | + | 0.926508i | ||||
\(831\) | 2.86917e12 | − | 2.86917e12i | 0.208714 | − | 0.208714i | ||||
\(832\) | −1.50459e13 | −1.08858 | ||||||||
\(833\) | 1.59732e13 | + | 2.07155e13i | 1.14945 | + | 1.49071i | ||||
\(834\) | −3.36602e12 | −0.240918 | ||||||||
\(835\) | −1.57038e13 | + | 1.57038e13i | −1.11793 | + | 1.11793i | ||||
\(836\) | −3.36364e12 | − | 1.39327e12i | −0.238167 | − | 0.0986520i | ||||
\(837\) | − | 1.41876e13i | − | 0.999179i | ||||||
\(838\) | −7.48702e12 | + | 1.80753e13i | −0.524458 | + | 1.26615i | ||||
\(839\) | 1.28404e13 | − | 5.31865e12i | 0.894640 | − | 0.370572i | 0.112483 | − | 0.993654i | \(-0.464120\pi\) |
0.782157 | + | 0.623082i | \(0.214120\pi\) | |||||||
\(840\) | −5.79194e12 | − | 1.39830e13i | −0.401390 | − | 0.969042i | ||||
\(841\) | 8.91313e12 | + | 8.91313e12i | 0.614396 | + | 0.614396i | ||||
\(842\) | −6.33738e12 | − | 6.33738e12i | −0.434515 | − | 0.434515i | ||||
\(843\) | 3.03961e12 | + | 7.33827e12i | 0.207298 | + | 0.500461i | ||||
\(844\) | 1.19663e13 | − | 4.95660e12i | 0.811743 | − | 0.336235i | ||||
\(845\) | −3.47891e12 | + | 8.39884e12i | −0.234741 | + | 0.566714i | ||||
\(846\) | 7.90201e12i | 0.530361i | ||||||||
\(847\) | −1.90175e13 | − | 7.87731e12i | −1.26963 | − | 0.525899i | ||||
\(848\) | 1.78387e12 | − | 1.78387e12i | 0.118463 | − | 0.118463i | ||||
\(849\) | 2.49317e12 | 0.164690 | ||||||||
\(850\) | 1.11722e12 | − | 8.64345e12i | 0.0734099 | − | 0.567939i | ||||
\(851\) | −2.48270e13 | −1.62271 | ||||||||
\(852\) | −1.56045e12 | + | 1.56045e12i | −0.101454 | + | 0.101454i | ||||
\(853\) | −1.04300e13 | − | 4.32025e12i | −0.674549 | − | 0.279408i | 0.0189969 | − | 0.999820i | \(-0.493953\pi\) |
−0.693546 | + | 0.720412i | \(0.743953\pi\) | |||||||
\(854\) | − | 8.11457e13i | − | 5.22042i | ||||||
\(855\) | −8.41608e11 | + | 2.03182e12i | −0.0538595 | + | 0.130028i | ||||
\(856\) | −1.26124e13 | + | 5.22421e12i | −0.802906 | + | 0.332575i | ||||
\(857\) | 6.55503e12 | + | 1.58252e13i | 0.415108 | + | 1.00216i | 0.983745 | + | 0.179571i | \(0.0574709\pi\) |
−0.568637 | + | 0.822589i | \(0.692529\pi\) | |||||||
\(858\) | −4.42813e12 | − | 4.42813e12i | −0.278951 | − | 0.278951i | ||||
\(859\) | −2.87796e12 | − | 2.87796e12i | −0.180350 | − | 0.180350i | 0.611158 | − | 0.791508i | \(-0.290704\pi\) |
−0.791508 | + | 0.611158i | \(0.790704\pi\) | |||||||
\(860\) | −4.57645e12 | − | 1.10485e13i | −0.285290 | − | 0.688750i | ||||
\(861\) | −8.53256e12 | + | 3.53430e12i | −0.529133 | + | 0.219174i | ||||
\(862\) | −1.16587e13 | + | 2.81466e13i | −0.719228 | + | 1.73637i | ||||
\(863\) | − | 2.43498e13i | − | 1.49433i | −0.664637 | − | 0.747167i | \(-0.731414\pi\) | ||
0.664637 | − | 0.747167i | \(-0.268586\pi\) | |||||||
\(864\) | 2.13514e13 | + | 8.84404e12i | 1.30351 | + | 0.539932i | ||||
\(865\) | 7.66758e12 | − | 7.66758e12i | 0.465678 | − | 0.465678i | ||||
\(866\) | 1.47328e13 | 0.890134 | ||||||||
\(867\) | −1.11956e13 | − | 8.50718e12i | −0.672917 | − | 0.511328i | ||||
\(868\) | 3.66292e13 | 2.19023 | ||||||||
\(869\) | 8.20295e12 | − | 8.20295e12i | 0.487957 | − | 0.487957i | ||||
\(870\) | 8.66665e12 | + | 3.58984e12i | 0.512879 | + | 0.212441i | ||||
\(871\) | 1.17743e13i | 0.693189i | ||||||||
\(872\) | 1.63091e12 | − | 3.93737e12i | 0.0955225 | − | 0.230612i | ||||
\(873\) | −4.62018e12 | + | 1.91374e12i | −0.269212 | + | 0.111511i | ||||
\(874\) | 7.60227e12 | + | 1.83535e13i | 0.440699 | + | 1.06394i | ||||
\(875\) | −1.53605e13 | − | 1.53605e13i | −0.885867 | − | 0.885867i | ||||
\(876\) | −2.20192e13 | − | 2.20192e13i | −1.26338 | − | 1.26338i | ||||
\(877\) | 1.24250e13 | + | 2.99967e13i | 0.709249 | + | 1.71228i | 0.701868 | + | 0.712307i | \(0.252349\pi\) |
0.00738101 | + | 0.999973i | \(0.497651\pi\) | |||||||
\(878\) | 9.29395e12 | − | 3.84968e12i | 0.527807 | − | 0.218625i | ||||
\(879\) | −1.60706e12 | + | 3.87978e12i | −0.0907991 | + | 0.219208i | ||||
\(880\) | − | 3.94991e12i | − | 0.222032i | ||||||
\(881\) | −5.31796e12 | − | 2.20277e12i | −0.297409 | − | 0.123191i | 0.228990 | − | 0.973429i | \(-0.426458\pi\) |
−0.526398 | + | 0.850238i | \(0.676458\pi\) | |||||||
\(882\) | −1.05957e13 | + | 1.05957e13i | −0.589553 | + | 0.589553i | ||||
\(883\) | −1.16594e13 | −0.645438 | −0.322719 | − | 0.946495i | \(-0.604597\pi\) | ||||
−0.322719 | + | 0.946495i | \(0.604597\pi\) | |||||||
\(884\) | −2.25248e12 | + | 1.74264e13i | −0.124058 | + | 0.959782i | ||||
\(885\) | −1.91786e13 | −1.05093 | ||||||||
\(886\) | −6.74389e12 | + | 6.74389e12i | −0.367671 | + | 0.367671i | ||||
\(887\) | 1.16449e13 | + | 4.82346e12i | 0.631653 | + | 0.261639i | 0.675455 | − | 0.737401i | \(-0.263947\pi\) |
−0.0438025 | + | 0.999040i | \(0.513947\pi\) | |||||||
\(888\) | 8.99405e12i | 0.485397i | ||||||||
\(889\) | −1.18767e13 | + | 2.86728e13i | −0.637730 | + | 1.53962i | ||||
\(890\) | −1.97602e12 | + | 8.18493e11i | −0.105569 | + | 0.0437280i | ||||
\(891\) | 1.98818e12 | + | 4.79989e12i | 0.105683 | + | 0.255142i | ||||
\(892\) | 1.67742e13 | + | 1.67742e13i | 0.887153 | + | 0.887153i | ||||
\(893\) | −6.77276e12 | − | 6.77276e12i | −0.356397 | − | 0.356397i | ||||
\(894\) | −6.78793e12 | − | 1.63875e13i | −0.355401 | − | 0.858014i | ||||
\(895\) | 6.56634e12 | − | 2.71987e12i | 0.342074 | − | 0.141692i | ||||
\(896\) | −1.43882e13 | + | 3.47362e13i | −0.745796 | + | 1.80051i | ||||
\(897\) | 1.99501e13i | 1.02891i | ||||||||
\(898\) | −6.99123e11 | − | 2.89586e11i | −0.0358765 | − | 0.0148605i | ||||
\(899\) | −4.61094e12 | + | 4.61094e12i | −0.235435 | + | 0.235435i | ||||
\(900\) | 2.91485e12 | 0.148090 | ||||||||
\(901\) | −4.65590e12 | − | 6.03818e12i | −0.235365 | − | 0.305242i | ||||
\(902\) | 5.36980e12 | 0.270103 | ||||||||
\(903\) | 9.20487e12 | − | 9.20487e12i | 0.460705 | − | 0.460705i | ||||
\(904\) | 9.79672e12 | + | 4.05793e12i | 0.487891 | + | 0.202091i | ||||
\(905\) | 2.16724e13i | 1.07396i | ||||||||
\(906\) | 1.33880e13 | − | 3.23214e13i | 0.660142 | − | 1.59372i | ||||
\(907\) | −2.43647e13 | + | 1.00922e13i | −1.19544 | + | 0.495169i | −0.889524 | − | 0.456889i | \(-0.848964\pi\) |
−0.305919 | + | 0.952058i | \(0.598964\pi\) | |||||||
\(908\) | −1.00751e13 | − | 2.43234e13i | −0.491884 | − | 1.18751i | ||||
\(909\) | −6.02833e12 | − | 6.02833e12i | −0.292860 | − | 0.292860i | ||||
\(910\) | −3.10752e13 | − | 3.10752e13i | −1.50220 | − | 1.50220i | ||||
\(911\) | 1.59591e12 | + | 3.85287e12i | 0.0767672 | + | 0.185332i | 0.957604 | − | 0.288087i | \(-0.0930194\pi\) |
−0.880837 | + | 0.473420i | \(0.843019\pi\) | |||||||
\(912\) | −2.98442e12 | + | 1.23619e12i | −0.142851 | + | 0.0591707i | ||||
\(913\) | 4.68100e12 | − | 1.13009e13i | 0.222956 | − | 0.538264i | ||||
\(914\) | − | 5.51282e13i | − | 2.61286i | ||||||
\(915\) | −3.84295e13 | − | 1.59180e13i | −1.81247 | − | 0.750748i | ||||
\(916\) | −2.94332e12 | + | 2.94332e12i | −0.138136 | + | 0.138136i | ||||
\(917\) | 6.16506e13 | 2.87922 | ||||||||
\(918\) | 1.80485e13 | − | 3.14316e13i | 0.838780 | − | 1.46075i | ||||
\(919\) | 3.08220e13 | 1.42541 | 0.712706 | − | 0.701462i | \(-0.247469\pi\) | ||||
0.712706 | + | 0.701462i | \(0.247469\pi\) | |||||||
\(920\) | 1.98232e13 | − | 1.98232e13i | 0.912279 | − | 0.912279i | ||||
\(921\) | −1.03913e12 | − | 4.30422e11i | −0.0475884 | − | 0.0197118i | ||||
\(922\) | 3.34366e13i | 1.52382i | ||||||||
\(923\) | −7.04326e11 | + | 1.70039e12i | −0.0319423 | + | 0.0771155i | ||||
\(924\) | −1.79892e13 | + | 7.45137e12i | −0.811873 | + | 0.336289i | ||||
\(925\) | −2.89414e12 | − | 6.98706e12i | −0.129981 | − | 0.313803i | ||||
\(926\) | 3.28742e13 | + | 3.28742e13i | 1.46928 | + | 1.46928i | ||||
\(927\) | −1.85228e12 | − | 1.85228e12i | −0.0823848 | − | 0.0823848i | ||||
\(928\) | −4.06488e12 | − | 9.81348e12i | −0.179921 | − | 0.434367i | ||||
\(929\) | −2.19815e12 | + | 9.10502e11i | −0.0968247 | + | 0.0401061i | −0.430570 | − | 0.902557i | \(-0.641687\pi\) |
0.333745 | + | 0.942663i | \(0.391687\pi\) | |||||||
\(930\) | 1.23070e13 | − | 2.97116e13i | 0.539483 | − | 1.30243i | ||||
\(931\) | − | 1.81631e13i | − | 0.792348i | ||||||
\(932\) | 4.84948e10 | + | 2.00872e10i | 0.00210535 | + | 0.000872064i | ||||
\(933\) | −1.31176e13 | + | 1.31176e13i | −0.566745 | + | 0.566745i | ||||
\(934\) | −7.67920e12 | −0.330183 | ||||||||
\(935\) | −1.18396e13 | − | 1.53035e12i | −0.506623 | − | 0.0654844i | ||||
\(936\) | −2.89110e12 | −0.123118 | ||||||||
\(937\) | 2.38920e13 | − | 2.38920e13i | 1.01257 | − | 1.01257i | 0.0126505 | − | 0.999920i | \(-0.495973\pi\) |
0.999920 | − | 0.0126505i | \(-0.00402687\pi\) | |||||||
\(938\) | 5.79308e13 | + | 2.39957e13i | 2.44341 | + | 1.01209i | ||||
\(939\) | − | 9.40719e12i | − | 0.394880i | ||||||
\(940\) | −1.80086e13 | + | 4.34765e13i | −0.752322 | + | 1.81627i | ||||
\(941\) | −1.62973e13 | + | 6.75057e12i | −0.677583 | + | 0.280664i | −0.694816 | − | 0.719187i | \(-0.744514\pi\) |
0.0172329 | + | 0.999852i | \(0.494514\pi\) | |||||||
\(942\) | 2.23065e12 | + | 5.38526e12i | 0.0923001 | + | 0.222832i | ||||
\(943\) | −1.20963e13 | − | 1.20963e13i | −0.498138 | − | 0.498138i | ||||
\(944\) | 7.96823e12 | + | 7.96823e12i | 0.326579 | + | 0.326579i | ||||
\(945\) | 2.02540e13 | + | 4.88974e13i | 0.826165 | + | 1.99454i | ||||
\(946\) | −6.99266e12 | + | 2.89645e12i | −0.283878 | + | 0.117586i | ||||
\(947\) | −1.42852e13 | + | 3.44875e13i | −0.577179 | + | 1.39343i | 0.318155 | + | 0.948039i | \(0.396937\pi\) |
−0.895334 | + | 0.445395i | \(0.853063\pi\) | |||||||
\(948\) | 4.66123e13i | 1.87440i | ||||||||
\(949\) | −2.39940e13 | − | 9.93864e12i | −0.960295 | − | 0.397767i | ||||
\(950\) | −4.27902e12 | + | 4.27902e12i | −0.170446 | + | 0.170446i | ||||
\(951\) | 1.49528e13 | 0.592801 | ||||||||
\(952\) | 2.33084e13 | + | 1.33840e13i | 0.919699 | + | 0.528104i | ||||
\(953\) | −4.03536e13 | −1.58476 | −0.792381 | − | 0.610026i | \(-0.791159\pi\) | ||||
−0.792381 | + | 0.610026i | \(0.791159\pi\) | |||||||
\(954\) | 3.08846e12 | − | 3.08846e12i | 0.120719 | − | 0.120719i | ||||
\(955\) | 7.21149e11 | + | 2.98710e11i | 0.0280550 | + | 0.0116208i | ||||
\(956\) | − | 5.02340e13i | − | 1.94508i | ||||||
\(957\) | 1.32652e12 | − | 3.20250e12i | 0.0511222 | − | 0.123420i | ||||
\(958\) | −4.60276e13 | + | 1.90652e13i | −1.76552 | + | 0.731303i | ||||
\(959\) | −1.03297e13 | − | 2.49381e13i | −0.394370 | − | 0.952093i | ||||
\(960\) | 2.90434e13 | + | 2.90434e13i | 1.10364 | + | 1.10364i | ||||
\(961\) | −2.88806e12 | − | 2.88806e12i | −0.109232 | − | 0.109232i | ||||
\(962\) | 9.99401e12 | + | 2.41277e13i | 0.376229 | + | 0.908296i | ||||
\(963\) | 9.80133e12 | − | 4.05984e12i | 0.367254 | − | 0.152122i | ||||
\(964\) | 1.61305e13 | − | 3.89424e13i | 0.601589 | − | 1.45236i | ||||
\(965\) | 2.26680e13i | 0.841472i | ||||||||
\(966\) | 9.81570e13 | + | 4.06580e13i | 3.62680 | + | 1.50227i | ||||
\(967\) | 3.37098e13 | − | 3.37098e13i | 1.23976 | − | 1.23976i | 0.279658 | − | 0.960100i | \(-0.409779\pi\) |
0.960100 | − | 0.279658i | \(-0.0902209\pi\) | |||||||
\(968\) | −1.38125e13 | −0.505632 | ||||||||
\(969\) | 2.54911e12 | + | 9.42455e12i | 0.0928821 | + | 0.343403i | ||||
\(970\) | −5.10088e13 | −1.85000 | ||||||||
\(971\) | 9.05326e12 | − | 9.05326e12i | 0.326827 | − | 0.326827i | −0.524551 | − | 0.851379i | \(-0.675767\pi\) |
0.851379 | + | 0.524551i | \(0.175767\pi\) | |||||||
\(972\) | 1.99099e13 | + | 8.24696e12i | 0.715437 | + | 0.296344i | ||||
\(973\) | 8.72866e12i | 0.312205i | ||||||||
\(974\) | 9.94523e12 | − | 2.40099e13i | 0.354079 | − | 0.854821i | ||||
\(975\) | −5.61456e12 | + | 2.32563e12i | −0.198973 | + | 0.0824175i | ||||
\(976\) | 9.35296e12 | + | 2.25801e13i | 0.329932 | + | 0.796527i | ||||
\(977\) | −3.13756e13 | − | 3.13756e13i | −1.10171 | − | 1.10171i | −0.994205 | − | 0.107505i | \(-0.965714\pi\) |
−0.107505 | − | 0.994205i | \(-0.534286\pi\) | |||||||
\(978\) | −2.72640e13 | − | 2.72640e13i | −0.952937 | − | 0.952937i | ||||
\(979\) | 3.02450e11 | + | 7.30178e11i | 0.0105228 | + | 0.0254043i | ||||
\(980\) | −8.24448e13 | + | 3.41498e13i | −2.85526 | + | 1.18269i | ||||
\(981\) | −1.26741e12 | + | 3.05981e12i | −0.0436926 | + | 0.105483i | ||||
\(982\) | − | 7.98686e13i | − | 2.74078i | ||||||
\(983\) | 2.83933e13 | + | 1.17609e13i | 0.969894 | + | 0.401743i | 0.810673 | − | 0.585500i | \(-0.199102\pi\) |
0.159221 | + | 0.987243i | \(0.449102\pi\) | |||||||
\(984\) | −4.38212e12 | + | 4.38212e12i | −0.149007 | + | 0.149007i | ||||
\(985\) | 4.62833e13 | 1.56661 | ||||||||
\(986\) | −1.60810e13 | + | 4.34952e12i | −0.541834 | + | 0.146553i | ||||
\(987\) | −5.12251e13 | −1.71813 | ||||||||
\(988\) | 8.62710e12 | − | 8.62710e12i | 0.288044 | − | 0.288044i | ||||
\(989\) | 2.22768e13 | + | 9.22733e12i | 0.740404 | + | 0.306685i | ||||
\(990\) | − | 6.83859e12i | − | 0.226260i | ||||||
\(991\) | −6.12944e12 | + | 1.47978e13i | −0.201878 | + | 0.487377i | −0.992101 | − | 0.125443i | \(-0.959965\pi\) |
0.790223 | + | 0.612820i | \(0.209965\pi\) | |||||||
\(992\) | −3.36433e13 | + | 1.39355e13i | −1.10305 | + | 0.456899i | ||||
\(993\) | −4.89983e12 | − | 1.18292e13i | −0.159922 | − | 0.386087i | ||||
\(994\) | 6.93075e12 | + | 6.93075e12i | 0.225186 | + | 0.225186i | ||||
\(995\) | 2.89033e13 | + | 2.89033e13i | 0.934852 | + | 0.934852i | ||||
\(996\) | 1.88085e13 | + | 4.54077e13i | 0.605601 | + | 1.46205i | ||||
\(997\) | −1.18036e13 | + | 4.88923e12i | −0.378345 | + | 0.156716i | −0.563748 | − | 0.825947i | \(-0.690641\pi\) |
0.185403 | + | 0.982663i | \(0.440641\pi\) | |||||||
\(998\) | 1.89654e12 | − | 4.57865e12i | 0.0605166 | − | 0.146100i | ||||
\(999\) | − | 3.14515e13i | − | 0.999072i |
(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 | 17.10.d.a.9.2 | yes | 52 | |
17.2 | even | 8 | inner | 17.10.d.a.2.2 | ✓ | 52 | |
17.6 | odd | 16 | 289.10.a.i.1.8 | 52 | |||
17.11 | odd | 16 | 289.10.a.i.1.7 | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.2.2 | ✓ | 52 | 17.2 | even | 8 | inner | |
17.10.d.a.9.2 | yes | 52 | 1.1 | even | 1 | trivial | |
289.10.a.i.1.7 | 52 | 17.11 | odd | 16 | |||
289.10.a.i.1.8 | 52 | 17.6 | odd | 16 |