Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,11,Mod(7,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.7");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.d (of order \(6\), degree \(2\), 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: | \(27.3203618650\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 37.25 | ||
Character | \(\chi\) | \(=\) | 43.37 |
Dual form | 43.11.d.a.7.12 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 25.0169i | 0.781779i | 0.920438 | + | 0.390889i | \(0.127833\pi\) | ||||
−0.920438 | + | 0.390889i | \(0.872167\pi\) | |||||||
\(3\) | 171.910 | + | 99.2521i | 0.707447 | + | 0.408445i | 0.810115 | − | 0.586271i | \(-0.199405\pi\) |
−0.102668 | + | 0.994716i | \(0.532738\pi\) | |||||||
\(4\) | 398.154 | 0.388822 | ||||||||
\(5\) | 3482.07 | + | 2010.37i | 1.11426 | + | 0.643319i | 0.939930 | − | 0.341368i | \(-0.110890\pi\) |
0.174332 | + | 0.984687i | \(0.444223\pi\) | |||||||
\(6\) | −2482.98 | + | 4300.65i | −0.319314 | + | 0.553067i | ||||
\(7\) | −9759.68 | + | 5634.76i | −0.580692 | + | 0.335262i | −0.761408 | − | 0.648273i | \(-0.775492\pi\) |
0.180717 | + | 0.983535i | \(0.442158\pi\) | |||||||
\(8\) | 35577.9i | 1.08575i | ||||||||
\(9\) | −9822.54 | − | 17013.1i | −0.166346 | − | 0.288119i | ||||
\(10\) | −50293.3 | + | 87110.6i | −0.502933 | + | 0.871106i | ||||
\(11\) | −142767. | −0.886468 | −0.443234 | − | 0.896406i | \(-0.646169\pi\) | ||||
−0.443234 | + | 0.896406i | \(0.646169\pi\) | |||||||
\(12\) | 68446.5 | + | 39517.6i | 0.275071 | + | 0.158812i | ||||
\(13\) | 126077. | + | 218372.i | 0.339562 | + | 0.588138i | 0.984350 | − | 0.176223i | \(-0.0563879\pi\) |
−0.644789 | + | 0.764361i | \(0.723055\pi\) | |||||||
\(14\) | −140964. | − | 244157.i | −0.262101 | − | 0.453972i | ||||
\(15\) | 399068. | + | 691205.i | 0.525521 | + | 0.910229i | ||||
\(16\) | −482341. | −0.459996 | ||||||||
\(17\) | 86105.3 | + | 149139.i | 0.0606436 | + | 0.105038i | 0.894753 | − | 0.446561i | \(-0.147351\pi\) |
−0.834110 | + | 0.551599i | \(0.814018\pi\) | |||||||
\(18\) | 425616. | − | 245730.i | 0.225245 | − | 0.130045i | ||||
\(19\) | 2.68849e6 | + | 1.55220e6i | 1.08578 | + | 0.626874i | 0.932449 | − | 0.361301i | \(-0.117667\pi\) |
0.153329 | + | 0.988175i | \(0.451001\pi\) | |||||||
\(20\) | 1.38640e6 | + | 800437.i | 0.433249 | + | 0.250137i | ||||
\(21\) | −2.23705e6 | −0.547745 | ||||||||
\(22\) | − | 3.57158e6i | − | 0.693022i | ||||||
\(23\) | −3.89319e6 | + | 6.74320e6i | −0.604875 | + | 1.04767i | 0.387196 | + | 0.921998i | \(0.373444\pi\) |
−0.992071 | + | 0.125677i | \(0.959890\pi\) | |||||||
\(24\) | −3.53118e6 | + | 6.11619e6i | −0.443470 | + | 0.768112i | ||||
\(25\) | 3.20039e6 | + | 5.54323e6i | 0.327720 | + | 0.567627i | ||||
\(26\) | −5.46299e6 | + | 3.15406e6i | −0.459794 | + | 0.265462i | ||||
\(27\) | − | 1.56211e7i | − | 1.08866i | ||||||
\(28\) | −3.88585e6 | + | 2.24350e6i | −0.225786 | + | 0.130357i | ||||
\(29\) | 1.54996e7 | − | 8.94872e6i | 0.755669 | − | 0.436286i | −0.0720695 | − | 0.997400i | \(-0.522960\pi\) |
0.827739 | + | 0.561114i | \(0.189627\pi\) | |||||||
\(30\) | −1.72918e7 | + | 9.98344e6i | −0.711598 | + | 0.410841i | ||||
\(31\) | 6.98509e6 | − | 1.20985e7i | 0.243985 | − | 0.422595i | −0.717861 | − | 0.696187i | \(-0.754878\pi\) |
0.961846 | + | 0.273592i | \(0.0882118\pi\) | |||||||
\(32\) | 2.43651e7i | 0.726137i | ||||||||
\(33\) | −2.45430e7 | − | 1.41699e7i | −0.627129 | − | 0.362073i | ||||
\(34\) | −3.73099e6 | + | 2.15409e6i | −0.0821164 | + | 0.0474099i | ||||
\(35\) | −4.53118e7 | −0.862723 | ||||||||
\(36\) | −3.91088e6 | − | 6.77384e6i | −0.0646788 | − | 0.112027i | ||||
\(37\) | −5.98155e7 | − | 3.45345e7i | −0.862591 | − | 0.498017i | 0.00228780 | − | 0.999997i | \(-0.499272\pi\) |
−0.864879 | + | 0.501980i | \(0.832605\pi\) | |||||||
\(38\) | −3.88313e7 | + | 6.72579e7i | −0.490077 | + | 0.848838i | ||||
\(39\) | 5.00536e7i | 0.554769i | ||||||||
\(40\) | −7.15249e7 | + | 1.23885e8i | −0.698485 | + | 1.20981i | ||||
\(41\) | −3.51986e7 | −0.303813 | −0.151907 | − | 0.988395i | \(-0.548541\pi\) | ||||
−0.151907 | + | 0.988395i | \(0.548541\pi\) | |||||||
\(42\) | − | 5.59640e7i | − | 0.428215i | ||||||
\(43\) | −6.89182e7 | + | 1.29853e8i | −0.468805 | + | 0.883302i | ||||
\(44\) | −5.68430e7 | −0.344678 | ||||||||
\(45\) | − | 7.89878e7i | − | 0.428053i | ||||||
\(46\) | −1.68694e8 | − | 9.73955e7i | −0.819050 | − | 0.472879i | ||||
\(47\) | 2.13330e8 | 0.930171 | 0.465086 | − | 0.885266i | \(-0.346024\pi\) | ||||
0.465086 | + | 0.885266i | \(0.346024\pi\) | |||||||
\(48\) | −8.29190e7 | − | 4.78733e7i | −0.325423 | − | 0.187883i | ||||
\(49\) | −7.77367e7 | + | 1.34644e8i | −0.275198 | + | 0.476657i | ||||
\(50\) | −1.38675e8 | + | 8.00638e7i | −0.443759 | + | 0.256204i | ||||
\(51\) | 3.41845e7i | 0.0990783i | ||||||||
\(52\) | 5.01980e7 | + | 8.69454e7i | 0.132029 | + | 0.228681i | ||||
\(53\) | 1.26765e8 | − | 2.19563e8i | 0.303124 | − | 0.525026i | −0.673718 | − | 0.738989i | \(-0.735304\pi\) |
0.976842 | + | 0.213963i | \(0.0686371\pi\) | |||||||
\(54\) | 3.90792e8 | 0.851093 | ||||||||
\(55\) | −4.97123e8 | − | 2.87014e8i | −0.987757 | − | 0.570282i | ||||
\(56\) | −2.00473e8 | − | 3.47229e8i | −0.364012 | − | 0.630487i | ||||
\(57\) | 3.08119e8 | + | 5.33677e8i | 0.512087 | + | 0.886961i | ||||
\(58\) | 2.23870e8 | + | 3.87753e8i | 0.341079 | + | 0.590766i | ||||
\(59\) | 9.65755e8 | 1.35085 | 0.675424 | − | 0.737429i | \(-0.263960\pi\) | ||||
0.675424 | + | 0.737429i | \(0.263960\pi\) | |||||||
\(60\) | 1.58890e8 | + | 2.75206e8i | 0.204334 | + | 0.353917i | ||||
\(61\) | −8.29005e8 | + | 4.78626e8i | −0.981540 | + | 0.566692i | −0.902735 | − | 0.430198i | \(-0.858444\pi\) |
−0.0788051 | + | 0.996890i | \(0.525110\pi\) | |||||||
\(62\) | 3.02668e8 | + | 1.74745e8i | 0.330376 | + | 0.190743i | ||||
\(63\) | 1.91730e8 | + | 1.10695e8i | 0.193191 | + | 0.111539i | ||||
\(64\) | −1.10346e9 | −1.02767 | ||||||||
\(65\) | 1.01385e9i | 0.873787i | ||||||||
\(66\) | 3.54487e8 | − | 6.13989e8i | 0.283061 | − | 0.490277i | ||||
\(67\) | 9.47058e8 | − | 1.64035e9i | 0.701460 | − | 1.21496i | −0.266495 | − | 0.963836i | \(-0.585865\pi\) |
0.967954 | − | 0.251127i | \(-0.0808012\pi\) | |||||||
\(68\) | 3.42831e7 | + | 5.93801e7i | 0.0235796 | + | 0.0408410i | ||||
\(69\) | −1.33855e9 | + | 7.72814e8i | −0.855835 | + | 0.494117i | ||||
\(70\) | − | 1.13356e9i | − | 0.674459i | ||||||
\(71\) | 8.93528e8 | − | 5.15879e8i | 0.495241 | − | 0.285927i | −0.231505 | − | 0.972834i | \(-0.574365\pi\) |
0.726746 | + | 0.686906i | \(0.241032\pi\) | |||||||
\(72\) | 6.05292e8 | − | 3.49465e8i | 0.312826 | − | 0.180610i | ||||
\(73\) | 1.07096e9 | − | 6.18320e8i | 0.516606 | − | 0.298263i | −0.218939 | − | 0.975739i | \(-0.570259\pi\) |
0.735545 | + | 0.677476i | \(0.236926\pi\) | |||||||
\(74\) | 8.63947e8 | − | 1.49640e9i | 0.389339 | − | 0.674356i | ||||
\(75\) | 1.27058e9i | 0.535422i | ||||||||
\(76\) | 1.07043e9 | + | 6.18015e8i | 0.422174 | + | 0.243742i | ||||
\(77\) | 1.39336e9 | − | 8.04455e8i | 0.514764 | − | 0.297199i | ||||
\(78\) | −1.25219e9 | −0.433707 | ||||||||
\(79\) | 7.32800e8 | + | 1.26925e9i | 0.238150 | + | 0.412488i | 0.960183 | − | 0.279370i | \(-0.0901257\pi\) |
−0.722034 | + | 0.691858i | \(0.756792\pi\) | |||||||
\(80\) | −1.67954e9 | − | 9.69684e8i | −0.512556 | − | 0.295924i | ||||
\(81\) | 9.70417e8 | − | 1.68081e9i | 0.278313 | − | 0.482052i | ||||
\(82\) | − | 8.80561e8i | − | 0.237515i | ||||||
\(83\) | 3.37652e9 | − | 5.84830e9i | 0.857192 | − | 1.48470i | −0.0174038 | − | 0.999849i | \(-0.505540\pi\) |
0.874596 | − | 0.484852i | \(-0.161127\pi\) | |||||||
\(84\) | −8.90688e8 | −0.212975 | ||||||||
\(85\) | 6.92415e8i | 0.156053i | ||||||||
\(86\) | −3.24852e9 | − | 1.72412e9i | −0.690547 | − | 0.366502i | ||||
\(87\) | 3.55272e9 | 0.712795 | ||||||||
\(88\) | − | 5.07934e9i | − | 0.962484i | ||||||
\(89\) | −2.21219e9 | − | 1.27721e9i | −0.396161 | − | 0.228724i | 0.288665 | − | 0.957430i | \(-0.406789\pi\) |
−0.684826 | + | 0.728706i | \(0.740122\pi\) | |||||||
\(90\) | 1.97603e9 | 0.334643 | ||||||||
\(91\) | −2.46094e9 | − | 1.42082e9i | −0.394361 | − | 0.227685i | ||||
\(92\) | −1.55009e9 | + | 2.68483e9i | −0.235189 | + | 0.407359i | ||||
\(93\) | 2.40161e9 | − | 1.38657e9i | 0.345213 | − | 0.199309i | ||||
\(94\) | 5.33686e9i | 0.727188i | ||||||||
\(95\) | 6.24101e9 | + | 1.08098e10i | 0.806561 | + | 1.39700i | ||||
\(96\) | −2.41829e9 | + | 4.18860e9i | −0.296587 | + | 0.513703i | ||||
\(97\) | 3.85226e9 | 0.448598 | 0.224299 | − | 0.974520i | \(-0.427991\pi\) | ||||
0.224299 | + | 0.974520i | \(0.427991\pi\) | |||||||
\(98\) | −3.36838e9 | − | 1.94473e9i | −0.372641 | − | 0.215144i | ||||
\(99\) | 1.40233e9 | + | 2.42891e9i | 0.147460 | + | 0.255408i | ||||
\(100\) | 1.27425e9 | + | 2.20706e9i | 0.127425 | + | 0.220706i | ||||
\(101\) | 1.34924e9 | + | 2.33694e9i | 0.128375 | + | 0.222352i | 0.923047 | − | 0.384687i | \(-0.125691\pi\) |
−0.794672 | + | 0.607039i | \(0.792357\pi\) | |||||||
\(102\) | −8.55191e8 | −0.0774573 | ||||||||
\(103\) | 2.13552e9 | + | 3.69882e9i | 0.184212 | + | 0.319064i | 0.943311 | − | 0.331911i | \(-0.107694\pi\) |
−0.759099 | + | 0.650975i | \(0.774360\pi\) | |||||||
\(104\) | −7.76920e9 | + | 4.48555e9i | −0.638572 | + | 0.368680i | ||||
\(105\) | −7.78955e9 | − | 4.49730e9i | −0.610331 | − | 0.352375i | ||||
\(106\) | 5.49280e9 | + | 3.17127e9i | 0.410454 | + | 0.236976i | ||||
\(107\) | −6.25523e9 | −0.445990 | −0.222995 | − | 0.974820i | \(-0.571583\pi\) | ||||
−0.222995 | + | 0.974820i | \(0.571583\pi\) | |||||||
\(108\) | − | 6.21960e9i | − | 0.423295i | ||||||
\(109\) | −4.20411e9 | + | 7.28174e9i | −0.273239 | + | 0.473263i | −0.969689 | − | 0.244342i | \(-0.921428\pi\) |
0.696451 | + | 0.717605i | \(0.254761\pi\) | |||||||
\(110\) | 7.18021e9 | − | 1.24365e10i | 0.445834 | − | 0.772208i | ||||
\(111\) | −6.85524e9 | − | 1.18736e10i | −0.406825 | − | 0.704642i | ||||
\(112\) | 4.70749e9 | − | 2.71787e9i | 0.267116 | − | 0.154219i | ||||
\(113\) | 3.16772e10i | 1.71931i | 0.510874 | + | 0.859656i | \(0.329322\pi\) | ||||
−0.510874 | + | 0.859656i | \(0.670678\pi\) | |||||||
\(114\) | −1.33510e10 | + | 7.70818e9i | −0.693407 | + | 0.400339i | ||||
\(115\) | −2.71127e10 | + | 1.56535e10i | −1.34798 | + | 0.778256i | ||||
\(116\) | 6.17124e9 | − | 3.56297e9i | 0.293821 | − | 0.169637i | ||||
\(117\) | 2.47679e9 | − | 4.28993e9i | 0.112969 | − | 0.195668i | ||||
\(118\) | 2.41602e10i | 1.05607i | ||||||||
\(119\) | −1.68072e9 | − | 9.70364e8i | −0.0704305 | − | 0.0406631i | ||||
\(120\) | −2.45916e10 | + | 1.41980e10i | −0.988283 | + | 0.570585i | ||||
\(121\) | −5.55514e9 | −0.214175 | ||||||||
\(122\) | −1.19738e10 | − | 2.07392e10i | −0.443028 | − | 0.767347i | ||||
\(123\) | −6.05099e9 | − | 3.49354e9i | −0.214932 | − | 0.124091i | ||||
\(124\) | 2.78114e9 | − | 4.81707e9i | 0.0948668 | − | 0.164314i | ||||
\(125\) | − | 1.35292e10i | − | 0.443325i | ||||||
\(126\) | −2.76925e9 | + | 4.79649e9i | −0.0871987 | + | 0.151033i | ||||
\(127\) | 6.43736e10 | 1.94845 | 0.974225 | − | 0.225579i | \(-0.0724272\pi\) | ||||
0.974225 | + | 0.225579i | \(0.0724272\pi\) | |||||||
\(128\) | − | 2.65523e9i | − | 0.0772773i | ||||||
\(129\) | −2.47359e10 | + | 1.54827e10i | −0.692435 | + | 0.433409i | ||||
\(130\) | −2.53633e10 | −0.683108 | ||||||||
\(131\) | − | 4.00483e10i | − | 1.03807i | −0.854752 | − | 0.519036i | \(-0.826291\pi\) | ||
0.854752 | − | 0.519036i | \(-0.173709\pi\) | |||||||
\(132\) | −9.77186e9 | − | 5.64179e9i | −0.243842 | − | 0.140782i | ||||
\(133\) | −3.49851e10 | −0.840670 | ||||||||
\(134\) | 4.10366e10 | + | 2.36925e10i | 0.949833 | + | 0.548386i | ||||
\(135\) | 3.14043e10 | − | 5.43938e10i | 0.700357 | − | 1.21305i | ||||
\(136\) | −5.30604e9 | + | 3.06344e9i | −0.114045 | + | 0.0658439i | ||||
\(137\) | − | 3.50832e10i | − | 0.726937i | −0.931607 | − | 0.363468i | \(-0.881593\pi\) | ||
0.931607 | − | 0.363468i | \(-0.118407\pi\) | |||||||
\(138\) | −1.93334e10 | − | 3.34865e10i | −0.386290 | − | 0.669074i | ||||
\(139\) | 1.78783e10 | − | 3.09661e10i | 0.344550 | − | 0.596778i | −0.640722 | − | 0.767773i | \(-0.721365\pi\) |
0.985272 | + | 0.170995i | \(0.0546981\pi\) | |||||||
\(140\) | −1.80411e10 | −0.335446 | ||||||||
\(141\) | 3.66735e10 | + | 2.11735e10i | 0.658047 | + | 0.379924i | ||||
\(142\) | 1.29057e10 | + | 2.23533e10i | 0.223532 | + | 0.387169i | ||||
\(143\) | −1.79996e10 | − | 3.11762e10i | −0.301011 | − | 0.521366i | ||||
\(144\) | 4.73781e9 | + | 8.20612e9i | 0.0765182 | + | 0.132533i | ||||
\(145\) | 7.19611e10 | 1.12268 | ||||||||
\(146\) | 1.54685e10 | + | 2.67922e10i | 0.233176 | + | 0.403872i | ||||
\(147\) | −2.67274e10 | + | 1.54311e10i | −0.389376 | + | 0.224807i | ||||
\(148\) | −2.38158e10 | − | 1.37500e10i | −0.335394 | − | 0.193640i | ||||
\(149\) | 4.50823e10 | + | 2.60283e10i | 0.613867 | + | 0.354416i | 0.774478 | − | 0.632601i | \(-0.218013\pi\) |
−0.160610 | + | 0.987018i | \(0.551346\pi\) | |||||||
\(150\) | −3.17860e10 | −0.418581 | ||||||||
\(151\) | 5.73516e10i | 0.730569i | 0.930896 | + | 0.365284i | \(0.119028\pi\) | ||||
−0.930896 | + | 0.365284i | \(0.880972\pi\) | |||||||
\(152\) | −5.52241e10 | + | 9.56510e10i | −0.680630 | + | 1.17889i | ||||
\(153\) | 1.69154e9 | − | 2.92984e9i | 0.0201756 | − | 0.0349451i | ||||
\(154\) | 2.01250e10 | + | 3.48575e10i | 0.232344 | + | 0.402432i | ||||
\(155\) | 4.86451e10 | − | 2.80853e10i | 0.543727 | − | 0.313921i | ||||
\(156\) | 1.99290e10i | 0.215706i | ||||||||
\(157\) | 3.53306e10 | − | 2.03981e10i | 0.370384 | − | 0.213841i | −0.303242 | − | 0.952914i | \(-0.598069\pi\) |
0.673626 | + | 0.739072i | \(0.264736\pi\) | |||||||
\(158\) | −3.17527e10 | + | 1.83324e10i | −0.322474 | + | 0.186181i | ||||
\(159\) | 4.35843e10 | − | 2.51634e10i | 0.428888 | − | 0.247619i | ||||
\(160\) | −4.89829e10 | + | 8.48409e10i | −0.467138 | + | 0.809106i | ||||
\(161\) | − | 8.77486e10i | − | 0.811168i | ||||||
\(162\) | 4.20487e10 | + | 2.42768e10i | 0.376858 | + | 0.217579i | ||||
\(163\) | 1.14713e11 | − | 6.62297e10i | 0.996955 | − | 0.575592i | 0.0896089 | − | 0.995977i | \(-0.471438\pi\) |
0.907346 | + | 0.420385i | \(0.138105\pi\) | |||||||
\(164\) | −1.40145e10 | −0.118129 | ||||||||
\(165\) | −5.69735e10 | − | 9.86810e10i | −0.465858 | − | 0.806889i | ||||
\(166\) | 1.46306e11 | + | 8.44700e10i | 1.16071 | + | 0.670135i | ||||
\(167\) | 2.90581e10 | − | 5.03301e10i | 0.223710 | − | 0.387477i | −0.732222 | − | 0.681066i | \(-0.761517\pi\) |
0.955932 | + | 0.293590i | \(0.0948499\pi\) | |||||||
\(168\) | − | 7.95894e10i | − | 0.594715i | ||||||
\(169\) | 3.71385e10 | − | 6.43257e10i | 0.269396 | − | 0.466607i | ||||
\(170\) | −1.73221e10 | −0.121999 | ||||||||
\(171\) | − | 6.09863e10i | − | 0.417111i | ||||||
\(172\) | −2.74400e10 | + | 5.17014e10i | −0.182281 | + | 0.343447i | ||||
\(173\) | 1.62528e11 | 1.04881 | 0.524406 | − | 0.851469i | \(-0.324288\pi\) | ||||
0.524406 | + | 0.851469i | \(0.324288\pi\) | |||||||
\(174\) | 8.88781e10i | 0.557248i | ||||||||
\(175\) | −6.24695e10 | − | 3.60668e10i | −0.380608 | − | 0.219744i | ||||
\(176\) | 6.88621e10 | 0.407772 | ||||||||
\(177\) | 1.66023e11 | + | 9.58532e10i | 0.955654 | + | 0.551747i | ||||
\(178\) | 3.19518e10 | − | 5.53422e10i | 0.178812 | − | 0.309711i | ||||
\(179\) | 1.26809e11 | − | 7.32134e10i | 0.690059 | − | 0.398406i | −0.113575 | − | 0.993529i | \(-0.536230\pi\) |
0.803634 | + | 0.595124i | \(0.202897\pi\) | |||||||
\(180\) | − | 3.14493e10i | − | 0.166436i | ||||||
\(181\) | −6.23387e10 | − | 1.07974e11i | −0.320897 | − | 0.555809i | 0.659777 | − | 0.751462i | \(-0.270651\pi\) |
−0.980673 | + | 0.195653i | \(0.937318\pi\) | |||||||
\(182\) | 3.55447e10 | − | 6.15652e10i | 0.177999 | − | 0.308303i | ||||
\(183\) | −1.90019e11 | −0.925850 | ||||||||
\(184\) | −2.39909e11 | − | 1.38511e11i | −1.13751 | − | 0.656744i | ||||
\(185\) | −1.38854e11 | − | 2.40503e11i | −0.640768 | − | 1.10984i | ||||
\(186\) | 3.46877e10 | + | 6.00809e10i | 0.155816 | + | 0.269881i | ||||
\(187\) | −1.22930e10 | − | 2.12920e10i | −0.0537586 | − | 0.0931127i | ||||
\(188\) | 8.49381e10 | 0.361671 | ||||||||
\(189\) | 8.80211e10 | + | 1.52457e11i | 0.364987 | + | 0.632177i | ||||
\(190\) | −2.70427e11 | + | 1.56131e11i | −1.09215 | + | 0.630552i | ||||
\(191\) | −2.00528e11 | − | 1.15775e11i | −0.788875 | − | 0.455457i | 0.0506910 | − | 0.998714i | \(-0.483858\pi\) |
−0.839567 | + | 0.543257i | \(0.817191\pi\) | |||||||
\(192\) | −1.89695e11 | − | 1.09520e11i | −0.727025 | − | 0.419748i | ||||
\(193\) | −2.43304e11 | −0.908580 | −0.454290 | − | 0.890854i | \(-0.650107\pi\) | ||||
−0.454290 | + | 0.890854i | \(0.650107\pi\) | |||||||
\(194\) | 9.63717e10i | 0.350704i | ||||||||
\(195\) | −1.00626e11 | + | 1.74290e11i | −0.356894 | + | 0.618158i | ||||
\(196\) | −3.09511e10 | + | 5.36089e10i | −0.107003 | + | 0.185335i | ||||
\(197\) | 1.71039e11 | + | 2.96248e11i | 0.576452 | + | 0.998444i | 0.995882 | + | 0.0906564i | \(0.0288965\pi\) |
−0.419430 | + | 0.907788i | \(0.637770\pi\) | |||||||
\(198\) | −6.07638e10 | + | 3.50820e10i | −0.199673 | + | 0.115281i | ||||
\(199\) | 5.68969e11i | 1.82315i | 0.411128 | + | 0.911577i | \(0.365135\pi\) | ||||
−0.411128 | + | 0.911577i | \(0.634865\pi\) | |||||||
\(200\) | −1.97217e11 | + | 1.13863e11i | −0.616302 | + | 0.355822i | ||||
\(201\) | 3.25617e11 | − | 1.87995e11i | 0.992491 | − | 0.573015i | ||||
\(202\) | −5.84632e10 | + | 3.37537e10i | −0.173830 | + | 0.100361i | ||||
\(203\) | −1.00848e11 | + | 1.74673e11i | −0.292540 | + | 0.506695i | ||||
\(204\) | 1.36107e10i | 0.0385238i | ||||||||
\(205\) | −1.22564e11 | − | 7.07624e10i | −0.338527 | − | 0.195449i | ||||
\(206\) | −9.25332e10 | + | 5.34241e10i | −0.249437 | + | 0.144013i | ||||
\(207\) | 1.52964e11 | 0.402473 | ||||||||
\(208\) | −6.08120e10 | − | 1.05329e11i | −0.156197 | − | 0.270541i | ||||
\(209\) | −3.83827e11 | − | 2.21603e11i | −0.962508 | − | 0.555704i | ||||
\(210\) | 1.12509e11 | − | 1.94870e11i | 0.275479 | − | 0.477144i | ||||
\(211\) | 1.87935e11i | 0.449362i | 0.974432 | + | 0.224681i | \(0.0721339\pi\) | ||||
−0.974432 | + | 0.224681i | \(0.927866\pi\) | |||||||
\(212\) | 5.04719e10 | − | 8.74200e10i | 0.117861 | − | 0.204142i | ||||
\(213\) | 2.04808e11 | 0.467142 | ||||||||
\(214\) | − | 1.56487e11i | − | 0.348665i | ||||||
\(215\) | −5.01031e11 | + | 3.13605e11i | −1.09062 | + | 0.682638i | ||||
\(216\) | 5.55766e11 | 1.18202 | ||||||||
\(217\) | 1.57437e11i | 0.327196i | ||||||||
\(218\) | −1.82167e11 | − | 1.05174e11i | −0.369987 | − | 0.213612i | ||||
\(219\) | 2.45478e11 | 0.487296 | ||||||||
\(220\) | −1.97931e11 | − | 1.14276e11i | −0.384062 | − | 0.221738i | ||||
\(221\) | −2.17118e10 | + | 3.76059e10i | −0.0411845 | + | 0.0713336i | ||||
\(222\) | 2.97042e11 | − | 1.71497e11i | 0.550874 | − | 0.318047i | ||||
\(223\) | 9.59786e11i | 1.74040i | 0.492695 | + | 0.870202i | \(0.336012\pi\) | ||||
−0.492695 | + | 0.870202i | \(0.663988\pi\) | |||||||
\(224\) | −1.37291e11 | − | 2.37796e11i | −0.243446 | − | 0.421661i | ||||
\(225\) | 6.28718e10 | − | 1.08897e11i | 0.109029 | − | 0.188844i | ||||
\(226\) | −7.92466e11 | −1.34412 | ||||||||
\(227\) | −2.16992e11 | − | 1.25281e11i | −0.360010 | − | 0.207852i | 0.309075 | − | 0.951038i | \(-0.399981\pi\) |
−0.669085 | + | 0.743186i | \(0.733314\pi\) | |||||||
\(228\) | 1.22679e11 | + | 2.12486e11i | 0.199111 | + | 0.344870i | ||||
\(229\) | −1.54346e11 | − | 2.67335e11i | −0.245085 | − | 0.424500i | 0.717070 | − | 0.697001i | \(-0.245483\pi\) |
−0.962156 | + | 0.272500i | \(0.912149\pi\) | |||||||
\(230\) | −3.91603e11 | − | 6.78276e11i | −0.608424 | − | 1.05382i | ||||
\(231\) | 3.19375e11 | 0.485558 | ||||||||
\(232\) | 3.18377e11 | + | 5.51445e11i | 0.473698 | + | 0.820469i | ||||
\(233\) | 1.15109e12 | − | 6.64581e11i | 1.67621 | − | 0.967762i | 0.712174 | − | 0.702003i | \(-0.247711\pi\) |
0.964040 | − | 0.265759i | \(-0.0856225\pi\) | |||||||
\(234\) | 1.07321e11 | + | 6.19617e10i | 0.152969 | + | 0.0883169i | ||||
\(235\) | 7.42830e11 | + | 4.28873e11i | 1.03645 | + | 0.598397i | ||||
\(236\) | 3.84519e11 | 0.525240 | ||||||||
\(237\) | 2.90928e11i | 0.389084i | ||||||||
\(238\) | 2.42755e10 | − | 4.20464e10i | 0.0317895 | − | 0.0550611i | ||||
\(239\) | 1.25760e11 | − | 2.17822e11i | 0.161269 | − | 0.279326i | −0.774055 | − | 0.633118i | \(-0.781775\pi\) |
0.935324 | + | 0.353792i | \(0.115108\pi\) | |||||||
\(240\) | −1.92486e11 | − | 3.33396e11i | −0.241737 | − | 0.418702i | ||||
\(241\) | −4.68369e11 | + | 2.70413e11i | −0.576107 | + | 0.332615i | −0.759585 | − | 0.650408i | \(-0.774598\pi\) |
0.183478 | + | 0.983024i | \(0.441264\pi\) | |||||||
\(242\) | − | 1.38972e11i | − | 0.167437i | ||||||
\(243\) | −4.65183e11 | + | 2.68573e11i | −0.549025 | + | 0.316980i | ||||
\(244\) | −3.30071e11 | + | 1.90567e11i | −0.381644 | + | 0.220342i | ||||
\(245\) | −5.41369e11 | + | 3.12559e11i | −0.613286 | + | 0.354081i | ||||
\(246\) | 8.73976e10 | − | 1.51377e11i | 0.0970116 | − | 0.168029i | ||||
\(247\) | 7.82788e11i | 0.851450i | ||||||||
\(248\) | 4.30440e11 | + | 2.48515e11i | 0.458833 | + | 0.264907i | ||||
\(249\) | 1.16091e12 | − | 6.70253e11i | 1.21284 | − | 0.700232i | ||||
\(250\) | 3.38459e11 | 0.346582 | ||||||||
\(251\) | −2.58237e11 | − | 4.47279e11i | −0.259209 | − | 0.448963i | 0.706821 | − | 0.707392i | \(-0.250128\pi\) |
−0.966030 | + | 0.258429i | \(0.916795\pi\) | |||||||
\(252\) | 7.63378e10 | + | 4.40737e10i | 0.0751168 | + | 0.0433687i | ||||
\(253\) | 5.55817e11 | − | 9.62703e11i | 0.536203 | − | 0.928730i | ||||
\(254\) | 1.61043e12i | 1.52326i | ||||||||
\(255\) | −6.87236e10 | + | 1.19033e11i | −0.0637390 | + | 0.110399i | ||||
\(256\) | −1.06351e12 | −0.967260 | ||||||||
\(257\) | − | 1.53682e12i | − | 1.37074i | −0.728194 | − | 0.685372i | \(-0.759640\pi\) | ||
0.728194 | − | 0.685372i | \(-0.240360\pi\) | |||||||
\(258\) | −3.87329e11 | − | 6.18816e11i | −0.338830 | − | 0.541331i | ||||
\(259\) | 7.78374e11 | 0.667866 | ||||||||
\(260\) | 4.03666e11i | 0.339747i | ||||||||
\(261\) | −3.04492e11 | − | 1.75798e11i | −0.251404 | − | 0.145148i | ||||
\(262\) | 1.00189e12 | 0.811543 | ||||||||
\(263\) | −1.54435e12 | − | 8.91633e11i | −1.22735 | − | 0.708610i | −0.260875 | − | 0.965373i | \(-0.584011\pi\) |
−0.966475 | + | 0.256762i | \(0.917344\pi\) | |||||||
\(264\) | 5.04135e11 | − | 8.73187e11i | 0.393122 | − | 0.680907i | ||||
\(265\) | 8.82809e11 | − | 5.09690e11i | 0.675519 | − | 0.390011i | ||||
\(266\) | − | 8.75220e11i | − | 0.657218i | ||||||
\(267\) | −2.53531e11 | − | 4.39129e11i | −0.186842 | − | 0.323620i | ||||
\(268\) | 3.77075e11 | − | 6.53112e11i | 0.272743 | − | 0.472404i | ||||
\(269\) | −7.02700e11 | −0.498894 | −0.249447 | − | 0.968388i | \(-0.580249\pi\) | ||||
−0.249447 | + | 0.968388i | \(0.580249\pi\) | |||||||
\(270\) | 1.36076e12 | + | 7.85638e11i | 0.948340 | + | 0.547524i | ||||
\(271\) | −2.92972e11 | − | 5.07442e11i | −0.200438 | − | 0.347168i | 0.748232 | − | 0.663437i | \(-0.230903\pi\) |
−0.948670 | + | 0.316269i | \(0.897570\pi\) | |||||||
\(272\) | −4.15321e10 | − | 7.19356e10i | −0.0278958 | − | 0.0483170i | ||||
\(273\) | −2.82040e11 | − | 4.88507e11i | −0.185993 | − | 0.322150i | ||||
\(274\) | 8.77674e11 | 0.568304 | ||||||||
\(275\) | −4.56908e11 | − | 7.91388e11i | −0.290513 | − | 0.503183i | ||||
\(276\) | −5.32950e11 | + | 3.07699e11i | −0.332767 | + | 0.192123i | ||||
\(277\) | 1.26587e12 | + | 7.30848e11i | 0.776227 | + | 0.448155i | 0.835091 | − | 0.550111i | \(-0.185415\pi\) |
−0.0588645 | + | 0.998266i | \(0.518748\pi\) | |||||||
\(278\) | 7.74677e11 | + | 4.47260e11i | 0.466549 | + | 0.269362i | ||||
\(279\) | −2.74445e11 | −0.162343 | ||||||||
\(280\) | − | 1.61210e12i | − | 0.936703i | ||||||
\(281\) | −1.25297e12 | + | 2.17020e12i | −0.715168 | + | 1.23871i | 0.247727 | + | 0.968830i | \(0.420316\pi\) |
−0.962895 | + | 0.269877i | \(0.913017\pi\) | |||||||
\(282\) | −5.29695e11 | + | 9.17459e11i | −0.297016 | + | 0.514447i | ||||
\(283\) | 1.18597e11 | + | 2.05415e11i | 0.0653341 | + | 0.113162i | 0.896842 | − | 0.442351i | \(-0.145855\pi\) |
−0.831508 | + | 0.555513i | \(0.812522\pi\) | |||||||
\(284\) | 3.55761e11 | − | 2.05399e11i | 0.192560 | − | 0.111175i | ||||
\(285\) | 2.47774e12i | 1.31774i | ||||||||
\(286\) | 7.79932e11 | − | 4.50294e11i | 0.407593 | − | 0.235324i | ||||
\(287\) | 3.43527e11 | − | 1.98336e11i | 0.176422 | − | 0.101857i | ||||
\(288\) | 4.14527e11 | − | 2.39327e11i | 0.209214 | − | 0.120790i | ||||
\(289\) | 9.93169e11 | − | 1.72022e12i | 0.492645 | − | 0.853286i | ||||
\(290\) | 1.80024e12i | 0.877691i | ||||||||
\(291\) | 6.62241e11 | + | 3.82345e11i | 0.317359 | + | 0.183227i | ||||
\(292\) | 4.26407e11 | − | 2.46186e11i | 0.200868 | − | 0.115971i | ||||
\(293\) | −3.53595e12 | −1.63745 | −0.818725 | − | 0.574185i | \(-0.805319\pi\) | ||||
−0.818725 | + | 0.574185i | \(0.805319\pi\) | |||||||
\(294\) | −3.86038e11 | − | 6.68637e11i | −0.175749 | − | 0.304406i | ||||
\(295\) | 3.36282e12 | + | 1.94153e12i | 1.50520 | + | 0.869027i | ||||
\(296\) | 1.22867e12 | − | 2.12811e12i | 0.540723 | − | 0.936560i | ||||
\(297\) | 2.23017e12i | 0.965064i | ||||||||
\(298\) | −6.51147e11 | + | 1.12782e12i | −0.277075 | + | 0.479908i | ||||
\(299\) | −1.96336e12 | −0.821570 | ||||||||
\(300\) | 5.05886e11i | 0.208184i | ||||||||
\(301\) | −5.90687e10 | − | 1.65566e12i | −0.0239070 | − | 0.670099i | ||||
\(302\) | −1.43476e12 | −0.571143 | ||||||||
\(303\) | 5.35658e11i | 0.209737i | ||||||||
\(304\) | −1.29677e12 | − | 7.48690e11i | −0.499453 | − | 0.288360i | ||||
\(305\) | −3.84887e12 | −1.45826 | ||||||||
\(306\) | 7.32956e10 | + | 4.23172e10i | 0.0273194 | + | 0.0157728i | ||||
\(307\) | 1.90128e12 | − | 3.29312e12i | 0.697197 | − | 1.20758i | −0.272238 | − | 0.962230i | \(-0.587764\pi\) |
0.969435 | − | 0.245350i | \(-0.0789029\pi\) | |||||||
\(308\) | 5.54770e11 | − | 3.20296e11i | 0.200152 | − | 0.115558i | ||||
\(309\) | 8.47818e11i | 0.300961i | ||||||||
\(310\) | 7.02607e11 | + | 1.21695e12i | 0.245417 | + | 0.425074i | ||||
\(311\) | −1.35761e12 | + | 2.35146e12i | −0.466632 | + | 0.808230i | −0.999274 | − | 0.0381110i | \(-0.987866\pi\) |
0.532642 | + | 0.846341i | \(0.321199\pi\) | |||||||
\(312\) | −1.78080e12 | −0.602341 | ||||||||
\(313\) | 1.72600e11 | + | 9.96505e10i | 0.0574537 | + | 0.0331709i | 0.528452 | − | 0.848963i | \(-0.322773\pi\) |
−0.470998 | + | 0.882134i | \(0.656106\pi\) | |||||||
\(314\) | 5.10298e11 | + | 8.83862e11i | 0.167177 | + | 0.289558i | ||||
\(315\) | 4.45077e11 | + | 7.70896e11i | 0.143510 | + | 0.248567i | ||||
\(316\) | 2.91767e11 | + | 5.05355e11i | 0.0925979 | + | 0.160384i | ||||
\(317\) | 4.53151e11 | 0.141562 | 0.0707809 | − | 0.997492i | \(-0.477451\pi\) | ||||
0.0707809 | + | 0.997492i | \(0.477451\pi\) | |||||||
\(318\) | 6.29511e11 | + | 1.09034e12i | 0.193583 | + | 0.335296i | ||||
\(319\) | −2.21283e12 | + | 1.27758e12i | −0.669876 | + | 0.386753i | ||||
\(320\) | −3.84231e12 | − | 2.21836e12i | −1.14510 | − | 0.661123i | ||||
\(321\) | −1.07534e12 | − | 6.20845e11i | −0.315514 | − | 0.182162i | ||||
\(322\) | 2.19520e12 | 0.634154 | ||||||||
\(323\) | 5.34611e11i | 0.152064i | ||||||||
\(324\) | 3.86375e11 | − | 6.69221e11i | 0.108214 | − | 0.187432i | ||||
\(325\) | −8.06990e11 | + | 1.39775e12i | −0.222562 | + | 0.385489i | ||||
\(326\) | 1.65686e12 | + | 2.86977e12i | 0.449986 | + | 0.779398i | ||||
\(327\) | −1.44546e12 | + | 8.34534e11i | −0.386604 | + | 0.223206i | ||||
\(328\) | − | 1.25229e12i | − | 0.329866i | ||||||
\(329\) | −2.08203e12 | + | 1.20206e12i | −0.540143 | + | 0.311851i | ||||
\(330\) | 2.46869e12 | − | 1.42530e12i | 0.630809 | − | 0.364198i | ||||
\(331\) | −5.96516e12 | + | 3.44399e12i | −1.50135 | + | 0.866806i | −0.501353 | + | 0.865243i | \(0.667164\pi\) |
−0.999999 | + | 0.00156260i | \(0.999503\pi\) | |||||||
\(332\) | 1.34437e12 | − | 2.32852e12i | 0.333295 | − | 0.577284i | ||||
\(333\) | 1.35687e12i | 0.331372i | ||||||||
\(334\) | 1.25910e12 | + | 7.26944e11i | 0.302921 | + | 0.174892i | ||||
\(335\) | 6.59544e12 | − | 3.80788e12i | 1.56322 | − | 0.902525i | ||||
\(336\) | 1.07902e12 | 0.251960 | ||||||||
\(337\) | 2.27833e12 | + | 3.94618e12i | 0.524163 | + | 0.907877i | 0.999604 | + | 0.0281298i | \(0.00895517\pi\) |
−0.475441 | + | 0.879748i | \(0.657711\pi\) | |||||||
\(338\) | 1.60923e12 | + | 9.29091e11i | 0.364784 | + | 0.210608i | ||||
\(339\) | −3.14403e12 | + | 5.44562e12i | −0.702244 | + | 1.21632i | ||||
\(340\) | 2.75687e11i | 0.0606768i | ||||||||
\(341\) | −9.97237e11 | + | 1.72727e12i | −0.216285 | + | 0.374617i | ||||
\(342\) | 1.52569e12 | 0.326088 | ||||||||
\(343\) | − | 4.93547e12i | − | 1.03958i | ||||||
\(344\) | −4.61989e12 | − | 2.45197e12i | −0.959046 | − | 0.509005i | ||||
\(345\) | −6.21458e12 | −1.27150 | ||||||||
\(346\) | 4.06595e12i | 0.819939i | ||||||||
\(347\) | −7.88760e12 | − | 4.55391e12i | −1.56783 | − | 0.905184i | −0.996422 | − | 0.0845147i | \(-0.973066\pi\) |
−0.571403 | − | 0.820670i | \(-0.693601\pi\) | |||||||
\(348\) | 1.41453e12 | 0.277150 | ||||||||
\(349\) | −5.91408e12 | − | 3.41450e12i | −1.14225 | − | 0.659477i | −0.195261 | − | 0.980751i | \(-0.562556\pi\) |
−0.946986 | + | 0.321274i | \(0.895889\pi\) | |||||||
\(350\) | 9.02280e11 | − | 1.56280e12i | 0.171791 | − | 0.297551i | ||||
\(351\) | 3.41121e12 | − | 1.96946e12i | 0.640283 | − | 0.369668i | ||||
\(352\) | − | 3.47852e12i | − | 0.643697i | ||||||
\(353\) | −3.55829e12 | − | 6.16313e12i | −0.649183 | − | 1.12442i | −0.983318 | − | 0.181893i | \(-0.941777\pi\) |
0.334135 | − | 0.942525i | \(-0.391556\pi\) | |||||||
\(354\) | −2.39795e12 | + | 4.15337e12i | −0.431344 | + | 0.747110i | ||||
\(355\) | 4.14843e12 | 0.735770 | ||||||||
\(356\) | −8.80791e11 | − | 5.08525e11i | −0.154036 | − | 0.0889328i | ||||
\(357\) | −1.92621e11 | − | 3.33630e11i | −0.0332172 | − | 0.0575339i | ||||
\(358\) | 1.83157e12 | + | 3.17238e12i | 0.311465 | + | 0.539473i | ||||
\(359\) | −9.24935e11 | − | 1.60203e12i | −0.155110 | − | 0.268658i | 0.777989 | − | 0.628278i | \(-0.216240\pi\) |
−0.933099 | + | 0.359620i | \(0.882906\pi\) | |||||||
\(360\) | 2.81022e12 | 0.464759 | ||||||||
\(361\) | 1.75313e12 | + | 3.03652e12i | 0.285943 | + | 0.495267i | ||||
\(362\) | 2.70117e12 | − | 1.55952e12i | 0.434520 | − | 0.250870i | ||||
\(363\) | −9.54982e11 | − | 5.51359e11i | −0.151517 | − | 0.0874785i | ||||
\(364\) | −9.79832e11 | − | 5.65706e11i | −0.153336 | − | 0.0885287i | ||||
\(365\) | 4.97222e12 | 0.767513 | ||||||||
\(366\) | − | 4.75368e12i | − | 0.723810i | ||||||
\(367\) | 6.42333e12 | − | 1.11255e13i | 0.964783 | − | 1.67105i | 0.254588 | − | 0.967050i | \(-0.418060\pi\) |
0.710196 | − | 0.704004i | \(-0.248606\pi\) | |||||||
\(368\) | 1.87784e12 | − | 3.25252e12i | 0.278240 | − | 0.481926i | ||||
\(369\) | 3.45740e11 | + | 5.98839e11i | 0.0505379 | + | 0.0875343i | ||||
\(370\) | 6.01664e12 | − | 3.47371e12i | 0.867652 | − | 0.500939i | ||||
\(371\) | 2.85716e12i | 0.406504i | ||||||||
\(372\) | 9.56209e11 | − | 5.52068e11i | 0.134227 | − | 0.0774957i | ||||
\(373\) | 8.57319e11 | − | 4.94973e11i | 0.118740 | − | 0.0685548i | −0.439453 | − | 0.898265i | \(-0.644828\pi\) |
0.558194 | + | 0.829711i | \(0.311495\pi\) | |||||||
\(374\) | 5.32661e11 | − | 3.07532e11i | 0.0727935 | − | 0.0420274i | ||||
\(375\) | 1.34280e12 | − | 2.32580e12i | 0.181074 | − | 0.313629i | ||||
\(376\) | 7.58984e12i | 1.00993i | ||||||||
\(377\) | 3.90829e12 | + | 2.25645e12i | 0.513193 | + | 0.296292i | ||||
\(378\) | −3.81401e12 | + | 2.20202e12i | −0.494222 | + | 0.285339i | ||||
\(379\) | 3.78512e12 | 0.484043 | 0.242022 | − | 0.970271i | \(-0.422190\pi\) | ||||
0.242022 | + | 0.970271i | \(0.422190\pi\) | |||||||
\(380\) | 2.48488e12 | + | 4.30394e12i | 0.313608 | + | 0.543186i | ||||
\(381\) | 1.10664e13 | + | 6.38922e12i | 1.37843 | + | 0.795834i | ||||
\(382\) | 2.89633e12 | − | 5.01660e12i | 0.356067 | − | 0.616726i | ||||
\(383\) | − | 1.17928e12i | − | 0.143094i | −0.997437 | − | 0.0715471i | \(-0.977206\pi\) | ||
0.997437 | − | 0.0715471i | \(-0.0227936\pi\) | |||||||
\(384\) | 2.63537e11 | − | 4.56459e11i | 0.0315635 | − | 0.0546696i | ||||
\(385\) | 6.46902e12 | 0.764777 | ||||||||
\(386\) | − | 6.08673e12i | − | 0.710309i | ||||||
\(387\) | 2.88616e12 | − | 1.02969e11i | 0.332479 | − | 0.0118618i | ||||
\(388\) | 1.53379e12 | 0.174425 | ||||||||
\(389\) | 6.47848e12i | 0.727320i | 0.931532 | + | 0.363660i | \(0.118473\pi\) | ||||
−0.931532 | + | 0.363660i | \(0.881527\pi\) | |||||||
\(390\) | −4.36020e12 | − | 2.51736e12i | −0.483263 | − | 0.279012i | ||||
\(391\) | −1.34090e12 | −0.146727 | ||||||||
\(392\) | −4.79035e12 | − | 2.76571e12i | −0.517531 | − | 0.298797i | ||||
\(393\) | 3.97488e12 | − | 6.88469e12i | 0.423995 | − | 0.734381i | ||||
\(394\) | −7.41120e12 | + | 4.27886e12i | −0.780562 | + | 0.450658i | ||||
\(395\) | 5.89281e12i | 0.612826i | ||||||||
\(396\) | 5.58342e11 | + | 9.67078e11i | 0.0573357 | + | 0.0993083i | ||||
\(397\) | −7.49705e12 | + | 1.29853e13i | −0.760217 | + | 1.31674i | 0.182521 | + | 0.983202i | \(0.441574\pi\) |
−0.942738 | + | 0.333533i | \(0.891759\pi\) | |||||||
\(398\) | −1.42339e13 | −1.42530 | ||||||||
\(399\) | −6.01428e12 | − | 3.47235e12i | −0.594729 | − | 0.343367i | ||||
\(400\) | −1.54368e12 | − | 2.67373e12i | −0.150750 | − | 0.261106i | ||||
\(401\) | 1.17834e12 | + | 2.04094e12i | 0.113644 | + | 0.196838i | 0.917237 | − | 0.398342i | \(-0.130414\pi\) |
−0.803593 | + | 0.595180i | \(0.797081\pi\) | |||||||
\(402\) | 4.70306e12 | + | 8.14593e12i | 0.447971 | + | 0.775909i | ||||
\(403\) | 3.52263e12 | 0.331392 | ||||||||
\(404\) | 5.37203e11 | + | 9.30463e11i | 0.0499150 | + | 0.0864554i | ||||
\(405\) | 6.75812e12 | − | 3.90180e12i | 0.620227 | − | 0.358088i | ||||
\(406\) | −4.36979e12 | − | 2.52290e12i | −0.396123 | − | 0.228702i | ||||
\(407\) | 8.53965e12 | + | 4.93037e12i | 0.764660 | + | 0.441476i | ||||
\(408\) | −1.21621e12 | −0.107574 | ||||||||
\(409\) | 1.38422e13i | 1.20945i | 0.796435 | + | 0.604725i | \(0.206717\pi\) | ||||
−0.796435 | + | 0.604725i | \(0.793283\pi\) | |||||||
\(410\) | 1.77026e12 | − | 3.06617e12i | 0.152798 | − | 0.264653i | ||||
\(411\) | 3.48208e12 | − | 6.03114e12i | 0.296914 | − | 0.514269i | ||||
\(412\) | 8.50264e11 | + | 1.47270e12i | 0.0716255 | + | 0.124059i | ||||
\(413\) | −9.42546e12 | + | 5.44179e12i | −0.784427 | + | 0.452889i | ||||
\(414\) | 3.82668e12i | 0.314645i | ||||||||
\(415\) | 2.35145e13 | − | 1.35761e13i | 1.91027 | − | 1.10290i | ||||
\(416\) | −5.32065e12 | + | 3.07188e12i | −0.427069 | + | 0.246568i | ||||
\(417\) | 6.14691e12 | − | 3.54892e12i | 0.487502 | − | 0.281459i | ||||
\(418\) | 5.54382e12 | − | 9.60217e12i | 0.434438 | − | 0.752468i | ||||
\(419\) | − | 6.34310e12i | − | 0.491170i | −0.969375 | − | 0.245585i | \(-0.921020\pi\) | ||
0.969375 | − | 0.245585i | \(-0.0789800\pi\) | |||||||
\(420\) | −3.10144e12 | − | 1.79061e12i | −0.237310 | − | 0.137011i | ||||
\(421\) | −1.69115e13 | + | 9.76388e12i | −1.27871 | + | 0.738264i | −0.976611 | − | 0.215012i | \(-0.931021\pi\) |
−0.302100 | + | 0.953276i | \(0.597688\pi\) | |||||||
\(422\) | −4.70156e12 | −0.351301 | ||||||||
\(423\) | −2.09544e12 | − | 3.62941e12i | −0.154730 | − | 0.268000i | ||||
\(424\) | 7.81161e12 | + | 4.51003e12i | 0.570048 | + | 0.329117i | ||||
\(425\) | −5.51140e11 | + | 9.54603e11i | −0.0397482 | + | 0.0688459i | ||||
\(426\) | 5.12367e12i | 0.365202i | ||||||||
\(427\) | 5.39388e12 | − | 9.34248e12i | 0.379981 | − | 0.658147i | ||||
\(428\) | −2.49054e12 | −0.173410 | ||||||||
\(429\) | − | 7.14598e12i | − | 0.491785i | ||||||
\(430\) | −7.84543e12 | − | 1.25342e13i | −0.533672 | − | 0.852621i | ||||
\(431\) | 8.73202e11 | 0.0587122 | 0.0293561 | − | 0.999569i | \(-0.490654\pi\) | ||||
0.0293561 | + | 0.999569i | \(0.490654\pi\) | |||||||
\(432\) | 7.53469e12i | 0.500780i | ||||||||
\(433\) | −1.55877e13 | − | 8.99954e12i | −1.02410 | − | 0.591263i | −0.108809 | − | 0.994063i | \(-0.534704\pi\) |
−0.915288 | + | 0.402800i | \(0.868037\pi\) | |||||||
\(434\) | −3.93859e12 | −0.255795 | ||||||||
\(435\) | 1.23708e13 | + | 7.14229e12i | 0.794240 | + | 0.458555i | ||||
\(436\) | −1.67388e12 | + | 2.89925e12i | −0.106241 | + | 0.184015i | ||||
\(437\) | −2.09336e13 | + | 1.20860e13i | −1.31352 | + | 0.758362i | ||||
\(438\) | 6.14111e12i | 0.380958i | ||||||||
\(439\) | −7.14203e12 | − | 1.23704e13i | −0.438025 | − | 0.758682i | 0.559512 | − | 0.828822i | \(-0.310989\pi\) |
−0.997537 | + | 0.0701405i | \(0.977655\pi\) | |||||||
\(440\) | 1.02114e13 | − | 1.76866e13i | 0.619185 | − | 1.07246i | ||||
\(441\) | 3.05429e12 | 0.183112 | ||||||||
\(442\) | −9.40784e11 | − | 5.43162e11i | −0.0557671 | − | 0.0321972i | ||||
\(443\) | 1.97586e12 | + | 3.42230e12i | 0.115808 | + | 0.200585i | 0.918102 | − | 0.396343i | \(-0.129721\pi\) |
−0.802294 | + | 0.596928i | \(0.796388\pi\) | |||||||
\(444\) | −2.72944e12 | − | 4.72753e12i | −0.158183 | − | 0.273980i | ||||
\(445\) | −5.13533e12 | − | 8.89465e12i | −0.294285 | − | 0.509717i | ||||
\(446\) | −2.40109e13 | −1.36061 | ||||||||
\(447\) | 5.16672e12 | + | 8.94902e12i | 0.289519 | + | 0.501462i | ||||
\(448\) | 1.07694e13 | − | 6.21771e12i | 0.596762 | − | 0.344540i | ||||
\(449\) | −1.63028e13 | − | 9.41243e12i | −0.893369 | − | 0.515787i | −0.0183259 | − | 0.999832i | \(-0.505834\pi\) |
−0.875043 | + | 0.484045i | \(0.839167\pi\) | |||||||
\(450\) | 2.72427e12 | + | 1.57286e12i | 0.147635 | + | 0.0852369i | ||||
\(451\) | 5.02519e12 | 0.269321 | ||||||||
\(452\) | 1.26124e13i | 0.668506i | ||||||||
\(453\) | −5.69227e12 | + | 9.85930e12i | −0.298397 | + | 0.516839i | ||||
\(454\) | 3.13413e12 | − | 5.42848e12i | 0.162494 | − | 0.281448i | ||||
\(455\) | −5.71278e12 | − | 9.89482e12i | −0.292948 | − | 0.507400i | ||||
\(456\) | −1.89871e13 | + | 1.09622e13i | −0.963019 | + | 0.555999i | ||||
\(457\) | 8.53486e12i | 0.428169i | 0.976815 | + | 0.214085i | \(0.0686768\pi\) | ||||
−0.976815 | + | 0.214085i | \(0.931323\pi\) | |||||||
\(458\) | 6.68790e12 | − | 3.86126e12i | 0.331866 | − | 0.191603i | ||||
\(459\) | 2.32971e12 | − | 1.34506e12i | 0.114351 | − | 0.0660204i | ||||
\(460\) | −1.07950e13 | + | 6.23250e12i | −0.524124 | + | 0.302603i | ||||
\(461\) | −6.90460e11 | + | 1.19591e12i | −0.0331615 | + | 0.0574374i | −0.882130 | − | 0.471006i | \(-0.843891\pi\) |
0.848968 | + | 0.528444i | \(0.177224\pi\) | |||||||
\(462\) | 7.98979e12i | 0.379599i | ||||||||
\(463\) | 9.25586e12 | + | 5.34387e12i | 0.435022 | + | 0.251160i | 0.701484 | − | 0.712685i | \(-0.252521\pi\) |
−0.266462 | + | 0.963846i | \(0.585855\pi\) | |||||||
\(464\) | −7.47611e12 | + | 4.31633e12i | −0.347605 | + | 0.200690i | ||||
\(465\) | 1.11501e13 | 0.512878 | ||||||||
\(466\) | 1.66258e13 | + | 2.87967e13i | 0.756576 | + | 1.31043i | ||||
\(467\) | −3.69095e13 | − | 2.13097e13i | −1.66170 | − | 0.959385i | −0.971902 | − | 0.235386i | \(-0.924365\pi\) |
−0.689801 | − | 0.723999i | \(-0.742302\pi\) | |||||||
\(468\) | 9.86143e11 | − | 1.70805e12i | 0.0439249 | − | 0.0760801i | ||||
\(469\) | 2.13458e13i | 0.940692i | ||||||||
\(470\) | −1.07291e13 | + | 1.85833e13i | −0.467814 | + | 0.810278i | ||||
\(471\) | 8.09822e12 | 0.349370 | ||||||||
\(472\) | 3.43595e13i | 1.46669i | ||||||||
\(473\) | 9.83922e12 | − | 1.85386e13i | 0.415580 | − | 0.783019i | ||||
\(474\) | −7.27812e12 | −0.304178 | ||||||||
\(475\) | 1.98706e13i | 0.821756i | ||||||||
\(476\) | −6.69185e11 | − | 3.86354e11i | −0.0273849 | − | 0.0158107i | ||||
\(477\) | −4.98062e12 | −0.201693 | ||||||||
\(478\) | 5.44923e12 | + | 3.14612e12i | 0.218372 | + | 0.126077i | ||||
\(479\) | 1.64313e13 | − | 2.84599e13i | 0.651620 | − | 1.12864i | −0.331109 | − | 0.943592i | \(-0.607423\pi\) |
0.982730 | − | 0.185047i | \(-0.0592438\pi\) | |||||||
\(480\) | −1.68413e13 | + | 9.72332e12i | −0.660951 | + | 0.381600i | ||||
\(481\) | − | 1.74160e13i | − | 0.676431i | ||||||
\(482\) | −6.76490e12 | − | 1.17172e13i | −0.260032 | − | 0.450388i | ||||
\(483\) | 8.70923e12 | − | 1.50848e13i | 0.331317 | − | 0.573859i | ||||
\(484\) | −2.21180e12 | −0.0832757 | ||||||||
\(485\) | 1.34138e13 | + | 7.74448e12i | 0.499855 | + | 0.288592i | ||||
\(486\) | −6.71888e12 | − | 1.16374e13i | −0.247808 | − | 0.429216i | ||||
\(487\) | 2.31296e13 | + | 4.00617e13i | 0.844352 | + | 1.46246i | 0.886183 | + | 0.463336i | \(0.153348\pi\) |
−0.0418305 | + | 0.999125i | \(0.513319\pi\) | |||||||
\(488\) | −1.70285e13 | − | 2.94943e13i | −0.615287 | − | 1.06571i | ||||
\(489\) | 2.62938e13 | 0.940391 | ||||||||
\(490\) | −7.81928e12 | − | 1.35434e13i | −0.276813 | − | 0.479454i | ||||
\(491\) | −2.18759e12 | + | 1.26301e12i | −0.0766582 | + | 0.0442586i | −0.537839 | − | 0.843047i | \(-0.680759\pi\) |
0.461181 | + | 0.887306i | \(0.347426\pi\) | |||||||
\(492\) | −2.40922e12 | − | 1.39096e12i | −0.0835702 | − | 0.0482492i | ||||
\(493\) | 2.66920e12 | + | 1.54106e12i | 0.0916530 | + | 0.0529159i | ||||
\(494\) | −1.95829e13 | −0.665646 | ||||||||
\(495\) | 1.12768e13i | 0.379455i | ||||||||
\(496\) | −3.36919e12 | + | 5.83561e12i | −0.112232 | + | 0.194392i | ||||
\(497\) | −5.81370e12 | + | 1.00696e13i | −0.191721 | + | 0.332071i | ||||
\(498\) | 1.67677e13 | + | 2.90424e13i | 0.547426 | + | 0.948170i | ||||
\(499\) | −3.36734e12 | + | 1.94414e12i | −0.108839 | + | 0.0628382i | −0.553431 | − | 0.832895i | \(-0.686682\pi\) |
0.444592 | + | 0.895733i | \(0.353349\pi\) | |||||||
\(500\) | − | 5.38670e12i | − | 0.172375i | ||||||
\(501\) | 9.99074e12 | − | 5.76816e12i | 0.316526 | − | 0.182746i | ||||
\(502\) | 1.11896e13 | − | 6.46029e12i | 0.350990 | − | 0.202644i | ||||
\(503\) | 2.67026e13 | − | 1.54168e13i | 0.829305 | − | 0.478799i | −0.0243100 | − | 0.999704i | \(-0.507739\pi\) |
0.853614 | + | 0.520905i | \(0.174406\pi\) | |||||||
\(504\) | −3.93830e12 | + | 6.82134e12i | −0.121103 | + | 0.209757i | ||||
\(505\) | 1.08499e13i | 0.330345i | ||||||||
\(506\) | 2.40839e13 | + | 1.39048e13i | 0.726062 | + | 0.419192i | ||||
\(507\) | 1.27689e13 | − | 7.37215e12i | 0.381167 | − | 0.220067i | ||||
\(508\) | 2.56306e13 | 0.757600 | ||||||||
\(509\) | −1.21569e13 | − | 2.10564e13i | −0.355824 | − | 0.616305i | 0.631435 | − | 0.775429i | \(-0.282466\pi\) |
−0.987259 | + | 0.159124i | \(0.949133\pi\) | |||||||
\(510\) | −2.97783e12 | − | 1.71925e12i | −0.0863077 | − | 0.0498298i | ||||
\(511\) | −6.96817e12 | + | 1.20692e13i | −0.199993 | + | 0.346397i | ||||
\(512\) | − | 2.93248e13i | − | 0.833461i | ||||||
\(513\) | 2.42471e13 | − | 4.19973e13i | 0.682454 | − | 1.18205i | ||||
\(514\) | 3.84464e13 | 1.07162 | ||||||||
\(515\) | 1.71727e13i | 0.474028i | ||||||||
\(516\) | −9.84868e12 | + | 6.16448e12i | −0.269234 | + | 0.168519i | ||||
\(517\) | −3.04564e13 | −0.824567 | ||||||||
\(518\) | 1.94725e13i | 0.522124i | ||||||||
\(519\) | 2.79401e13 | + | 1.61312e13i | 0.741979 | + | 0.428382i | ||||
\(520\) | −3.60705e13 | −0.948715 | ||||||||
\(521\) | −3.00421e13 | − | 1.73448e13i | −0.782603 | − | 0.451836i | 0.0547491 | − | 0.998500i | \(-0.482564\pi\) |
−0.837352 | + | 0.546664i | \(0.815897\pi\) | |||||||
\(522\) | 4.39793e12 | − | 7.61744e12i | 0.113474 | − | 0.196543i | ||||
\(523\) | −2.59700e12 | + | 1.49938e12i | −0.0663688 | + | 0.0383181i | −0.532817 | − | 0.846230i | \(-0.678867\pi\) |
0.466448 | + | 0.884548i | \(0.345533\pi\) | |||||||
\(524\) | − | 1.59454e13i | − | 0.403625i | ||||||
\(525\) | −7.15941e12 | − | 1.24005e13i | −0.179507 | − | 0.310915i | ||||
\(526\) | 2.23059e13 | − | 3.86350e13i | 0.553977 | − | 0.959516i | ||||
\(527\) | 2.40581e12 | 0.0591846 | ||||||||
\(528\) | 1.18381e13 | + | 6.83471e12i | 0.288477 | + | 0.166552i | ||||
\(529\) | −9.60053e12 | − | 1.66286e13i | −0.231749 | − | 0.401400i | ||||
\(530\) | 1.27509e13 | + | 2.20852e13i | 0.304902 | + | 0.528106i | ||||
\(531\) | −9.48616e12 | − | 1.64305e13i | −0.224708 | − | 0.389205i | ||||
\(532\) | −1.39295e13 | −0.326871 | ||||||||
\(533\) | −4.43773e12 | − | 7.68638e12i | −0.103163 | − | 0.178684i | ||||
\(534\) | 1.09857e13 | − | 6.34257e12i | 0.252999 | − | 0.146069i | ||||
\(535\) | −2.17812e13 | − | 1.25754e13i | −0.496949 | − | 0.286914i | ||||
\(536\) | 5.83603e13 | + | 3.36943e13i | 1.31915 | + | 0.761611i | ||||
\(537\) | 2.90663e13 | 0.650907 | ||||||||
\(538\) | − | 1.75794e13i | − | 0.390025i | ||||||
\(539\) | 1.10982e13 | − | 1.92226e13i | 0.243954 | − | 0.422541i | ||||
\(540\) | 1.25037e13 | − | 2.16571e13i | 0.272314 | − | 0.471662i | ||||
\(541\) | −1.14187e13 | − | 1.97777e13i | −0.246394 | − | 0.426766i | 0.716129 | − | 0.697968i | \(-0.245912\pi\) |
−0.962523 | + | 0.271202i | \(0.912579\pi\) | |||||||
\(542\) | 1.26946e13 | − | 7.32926e12i | 0.271409 | − | 0.156698i | ||||
\(543\) | − | 2.47490e13i | − | 0.524274i | ||||||
\(544\) | −3.63378e12 | + | 2.09796e12i | −0.0762718 | + | 0.0440355i | ||||
\(545\) | −2.92780e13 | + | 1.69037e13i | −0.608918 | + | 0.351559i | ||||
\(546\) | 1.22209e13 | − | 7.05577e12i | 0.251850 | − | 0.145406i | ||||
\(547\) | −1.52205e13 | + | 2.63627e13i | −0.310808 | + | 0.538336i | −0.978538 | − | 0.206068i | \(-0.933933\pi\) |
0.667729 | + | 0.744404i | \(0.267266\pi\) | |||||||
\(548\) | − | 1.39685e13i | − | 0.282649i | ||||||
\(549\) | 1.62859e13 | + | 9.40265e12i | 0.326549 | + | 0.188533i | ||||
\(550\) | 1.97981e13 | − | 1.14304e13i | 0.393378 | − | 0.227117i | ||||
\(551\) | 5.55609e13 | 1.09399 | ||||||||
\(552\) | −2.74951e13 | − | 4.76229e13i | −0.536488 | − | 0.929224i | ||||
\(553\) | −1.43038e13 | − | 8.25830e12i | −0.276583 | − | 0.159685i | ||||
\(554\) | −1.82836e13 | + | 3.16681e13i | −0.350358 | + | 0.606838i | ||||
\(555\) | − | 5.51264e13i | − | 1.04687i | ||||||
\(556\) | 7.11831e12 | − | 1.23293e13i | 0.133969 | − | 0.232040i | ||||
\(557\) | 4.31783e13 | 0.805359 | 0.402679 | − | 0.915341i | \(-0.368079\pi\) | ||||
0.402679 | + | 0.915341i | \(0.368079\pi\) | |||||||
\(558\) | − | 6.86577e12i | − | 0.126917i | ||||||
\(559\) | −3.70452e13 | + | 1.32165e12i | −0.678692 | + | 0.0242136i | ||||
\(560\) | 2.18557e13 | 0.396849 | ||||||||
\(561\) | − | 4.88041e12i | − | 0.0878297i | ||||||
\(562\) | −5.42918e13 | − | 3.13454e13i | −0.968395 | − | 0.559103i | ||||
\(563\) | 6.38973e13 | 1.12964 | 0.564821 | − | 0.825214i | \(-0.308945\pi\) | ||||
0.564821 | + | 0.825214i | \(0.308945\pi\) | |||||||
\(564\) | 1.46017e13 | + | 8.43029e12i | 0.255863 | + | 0.147723i | ||||
\(565\) | −6.36830e13 | + | 1.10302e14i | −1.10607 | + | 1.91576i | ||||
\(566\) | −5.13886e12 | + | 2.96692e12i | −0.0884676 | + | 0.0510768i | ||||
\(567\) | 2.18722e13i | 0.373231i | ||||||||
\(568\) | 1.83539e13 | + | 3.17899e13i | 0.310446 | + | 0.537708i | ||||
\(569\) | −8.70973e12 | + | 1.50857e13i | −0.146030 | + | 0.252932i | −0.929757 | − | 0.368174i | \(-0.879983\pi\) |
0.783726 | + | 0.621106i | \(0.213316\pi\) | |||||||
\(570\) | −6.19853e13 | −1.03018 | ||||||||
\(571\) | −3.64593e12 | − | 2.10498e12i | −0.0600659 | − | 0.0346791i | 0.469666 | − | 0.882844i | \(-0.344374\pi\) |
−0.529732 | + | 0.848165i | \(0.677708\pi\) | |||||||
\(572\) | −7.16659e12 | − | 1.24129e13i | −0.117039 | − | 0.202718i | ||||
\(573\) | −2.29818e13 | − | 3.98057e13i | −0.372059 | − | 0.644424i | ||||
\(574\) | 4.96175e12 | + | 8.59400e12i | 0.0796297 | + | 0.137923i | ||||
\(575\) | −4.98388e13 | −0.792918 | ||||||||
\(576\) | 1.08387e13 | + | 1.87733e13i | 0.170949 | + | 0.296092i | ||||
\(577\) | −6.80572e13 | + | 3.92929e13i | −1.06413 | + | 0.614377i | −0.926572 | − | 0.376117i | \(-0.877259\pi\) |
−0.137559 | + | 0.990494i | \(0.543926\pi\) | |||||||
\(578\) | 4.30346e13 | + | 2.48460e13i | 0.667081 | + | 0.385139i | ||||
\(579\) | −4.18264e13 | − | 2.41485e13i | −0.642773 | − | 0.371105i | ||||
\(580\) | 2.86516e13 | 0.436524 | ||||||||
\(581\) | 7.61034e13i | 1.14954i | ||||||||
\(582\) | −9.56510e12 | + | 1.65672e13i | −0.143243 | + | 0.248105i | ||||
\(583\) | −1.80978e13 | + | 3.13463e13i | −0.268710 | + | 0.465419i | ||||
\(584\) | 2.19985e13 | + | 3.81026e13i | 0.323839 | + | 0.560906i | ||||
\(585\) | 1.72487e13 | − | 9.95854e12i | 0.251754 | − | 0.145350i | ||||
\(586\) | − | 8.84586e13i | − | 1.28012i | ||||||
\(587\) | −3.48542e13 | + | 2.01231e13i | −0.500110 | + | 0.288738i | −0.728759 | − | 0.684770i | \(-0.759902\pi\) |
0.228649 | + | 0.973509i | \(0.426569\pi\) | |||||||
\(588\) | −1.06416e13 | + | 6.14393e12i | −0.151398 | + | 0.0874097i | ||||
\(589\) | 3.75587e13 | − | 2.16846e13i | 0.529828 | − | 0.305896i | ||||
\(590\) | −4.85710e13 | + | 8.41275e13i | −0.679387 | + | 1.17673i | ||||
\(591\) | 6.79038e13i | 0.941795i | ||||||||
\(592\) | 2.88514e13 | + | 1.66574e13i | 0.396788 | + | 0.229086i | ||||
\(593\) | 1.05610e14 | − | 6.09742e13i | 1.44023 | − | 0.831520i | 0.442369 | − | 0.896833i | \(-0.354138\pi\) |
0.997865 | + | 0.0653133i | \(0.0208047\pi\) | |||||||
\(594\) | −5.57920e13 | −0.754466 | ||||||||
\(595\) | −3.90159e12 | − | 6.75775e12i | −0.0523187 | − | 0.0906186i | ||||
\(596\) | 1.79497e13 | + | 1.03632e13i | 0.238685 | + | 0.137805i | ||||
\(597\) | −5.64714e13 | + | 9.78114e13i | −0.744658 | + | 1.28979i | ||||
\(598\) | − | 4.91173e13i | − | 0.642286i | ||||||
\(599\) | 3.96835e13 | − | 6.87339e13i | 0.514607 | − | 0.891326i | −0.485249 | − | 0.874376i | \(-0.661271\pi\) |
0.999856 | − | 0.0169500i | \(-0.00539562\pi\) | |||||||
\(600\) | −4.52046e13 | −0.581335 | ||||||||
\(601\) | 5.51159e13i | 0.702918i | 0.936203 | + | 0.351459i | \(0.114314\pi\) | ||||
−0.936203 | + | 0.351459i | \(0.885686\pi\) | |||||||
\(602\) | 4.14195e13 | − | 1.47772e12i | 0.523869 | − | 0.0186900i | ||||
\(603\) | −3.72101e13 | −0.466739 | ||||||||
\(604\) | 2.28348e13i | 0.284061i | ||||||||
\(605\) | −1.93434e13 | − | 1.11679e13i | −0.238647 | − | 0.137783i | ||||
\(606\) | −1.34005e13 | −0.163968 | ||||||||
\(607\) | 8.19623e12 | + | 4.73210e12i | 0.0994651 | + | 0.0574262i | 0.548907 | − | 0.835883i | \(-0.315044\pi\) |
−0.449442 | + | 0.893309i | \(0.648377\pi\) | |||||||
\(608\) | −3.78196e13 | + | 6.55054e13i | −0.455196 | + | 0.788423i | ||||
\(609\) | −3.46734e13 | + | 2.00187e13i | −0.413914 | + | 0.238973i | ||||
\(610\) | − | 9.62869e13i | − | 1.14003i | ||||||
\(611\) | 2.68960e13 | + | 4.65852e13i | 0.315851 | + | 0.547069i | ||||
\(612\) | 6.73494e11 | − | 1.16653e12i | 0.00784471 | − | 0.0135874i | ||||
\(613\) | −3.36706e13 | −0.388999 | −0.194499 | − | 0.980903i | \(-0.562308\pi\) | ||||
−0.194499 | + | 0.980903i | \(0.562308\pi\) | |||||||
\(614\) | 8.23838e13 | + | 4.75643e13i | 0.944060 | + | 0.545054i | ||||
\(615\) | −1.40466e13 | − | 2.43295e13i | −0.159660 | − | 0.276540i | ||||
\(616\) | 2.86208e13 | + | 4.95727e13i | 0.322685 | + | 0.558906i | ||||
\(617\) | −7.99841e13 | − | 1.38536e14i | −0.894495 | − | 1.54931i | −0.834429 | − | 0.551116i | \(-0.814202\pi\) |
−0.0600656 | − | 0.998194i | \(-0.519131\pi\) | |||||||
\(618\) | −2.12098e13 | −0.235285 | ||||||||
\(619\) | −6.18767e12 | − | 1.07174e13i | −0.0680885 | − | 0.117933i | 0.829971 | − | 0.557806i | \(-0.188357\pi\) |
−0.898060 | + | 0.439873i | \(0.855023\pi\) | |||||||
\(620\) | 1.93682e13 | − | 1.11823e13i | 0.211413 | − | 0.122059i | ||||
\(621\) | 1.05336e14 | + | 6.08159e13i | 1.14056 | + | 0.658505i | ||||
\(622\) | −5.88262e13 | − | 3.39633e13i | −0.631857 | − | 0.364803i | ||||
\(623\) | 2.87870e13 | 0.306730 | ||||||||
\(624\) | − | 2.41429e13i | − | 0.255191i | ||||||
\(625\) | 5.84525e13 | − | 1.01243e14i | 0.612919 | − | 1.06161i | ||||
\(626\) | −2.49295e12 | + | 4.31791e12i | −0.0259323 | + | 0.0449161i | ||||
\(627\) | −4.39891e13 | − | 7.61913e13i | −0.453949 | − | 0.786263i | ||||
\(628\) | 1.40670e13 | − | 8.12158e12i | 0.144013 | − | 0.0831462i | ||||
\(629\) | − | 1.18944e13i | − | 0.120806i | ||||||
\(630\) | −1.92855e13 | + | 1.11345e13i | −0.194324 | + | 0.112193i | ||||
\(631\) | −1.28434e14 | + | 7.41514e13i | −1.28391 | + | 0.741263i | −0.977560 | − | 0.210657i | \(-0.932440\pi\) |
−0.306345 | + | 0.951920i | \(0.599106\pi\) | |||||||
\(632\) | −4.51572e13 | + | 2.60715e13i | −0.447859 | + | 0.258572i | ||||
\(633\) | −1.86530e13 | + | 3.23079e13i | −0.183539 | + | 0.317900i | ||||
\(634\) | 1.13364e13i | 0.110670i | ||||||||
\(635\) | 2.24153e14 | + | 1.29415e14i | 2.17108 | + | 1.25348i | ||||
\(636\) | 1.73532e13 | − | 1.00189e13i | 0.166761 | − | 0.0962796i | ||||
\(637\) | −3.92032e13 | −0.373787 | ||||||||
\(638\) | −3.19611e13 | − | 5.53582e13i | −0.302356 | − | 0.523695i | ||||
\(639\) | −1.75534e13 | − | 1.01345e13i | −0.164762 | − | 0.0951255i | ||||
\(640\) | 5.33800e12 | − | 9.24568e12i | 0.0497140 | − | 0.0861071i | ||||
\(641\) | 2.02938e14i | 1.87531i | 0.347564 | + | 0.937656i | \(0.387009\pi\) | ||||
−0.347564 | + | 0.937656i | \(0.612991\pi\) | |||||||
\(642\) | 1.55316e13 | − | 2.69016e13i | 0.142411 | − | 0.246662i | ||||
\(643\) | 9.71468e13 | 0.883840 | 0.441920 | − | 0.897054i | \(-0.354298\pi\) | ||||
0.441920 | + | 0.897054i | \(0.354298\pi\) | |||||||
\(644\) | − | 3.49374e13i | − | 0.315400i | ||||||
\(645\) | −1.17258e14 | + | 4.18340e12i | −1.05037 | + | 0.0374740i | ||||
\(646\) | −1.33743e13 | −0.118880 | ||||||||
\(647\) | − | 2.03352e14i | − | 1.79361i | −0.442430 | − | 0.896803i | \(-0.645884\pi\) | ||
0.442430 | − | 0.896803i | \(-0.354116\pi\) | |||||||
\(648\) | 5.97997e13 | + | 3.45254e13i | 0.523389 | + | 0.302179i | ||||
\(649\) | −1.37877e14 | −1.19748 | ||||||||
\(650\) | −3.49673e13 | − | 2.01884e13i | −0.301367 | − | 0.173994i | ||||
\(651\) | −1.56260e13 | + | 2.70650e13i | −0.133642 | + | 0.231474i | ||||
\(652\) | 4.56735e13 | − | 2.63696e13i | 0.387638 | − | 0.223803i | ||||
\(653\) | 4.13670e13i | 0.348408i | 0.984710 | + | 0.174204i | \(0.0557352\pi\) | ||||
−0.984710 | + | 0.174204i | \(0.944265\pi\) | |||||||
\(654\) | −2.08775e13 | − | 3.61609e13i | −0.174498 | − | 0.302239i | ||||
\(655\) | 8.05120e13 | − | 1.39451e14i | 0.667812 | − | 1.15668i | ||||
\(656\) | 1.69777e13 | 0.139753 | ||||||||
\(657\) | −2.10391e13 | − | 1.21469e13i | −0.171870 | − | 0.0992294i | ||||
\(658\) | −3.00719e13 | − | 5.20861e13i | −0.243799 | − | 0.422272i | ||||
\(659\) | 1.55917e13 | + | 2.70056e13i | 0.125449 | + | 0.217283i | 0.921908 | − | 0.387408i | \(-0.126630\pi\) |
−0.796460 | + | 0.604692i | \(0.793296\pi\) | |||||||
\(660\) | −2.26842e13 | − | 3.92902e13i | −0.181136 | − | 0.313736i | ||||
\(661\) | −1.27954e14 | −1.01402 | −0.507008 | − | 0.861941i | \(-0.669249\pi\) | ||||
−0.507008 | + | 0.861941i | \(0.669249\pi\) | |||||||
\(662\) | −8.61580e13 | − | 1.49230e14i | −0.677650 | − | 1.17372i | ||||
\(663\) | −7.46493e12 | + | 4.30988e12i | −0.0582717 | + | 0.0336432i | ||||
\(664\) | 2.08070e14 | + | 1.20129e14i | 1.61202 | + | 0.930698i | ||||
\(665\) | −1.21821e14 | − | 7.03332e13i | −0.936726 | − | 0.540819i | ||||
\(666\) | −3.39446e13 | −0.259059 | ||||||||
\(667\) | 1.39356e14i | 1.05559i | ||||||||
\(668\) | 1.15696e13 | − | 2.00391e13i | 0.0869832 | − | 0.150659i | ||||
\(669\) | −9.52608e13 | + | 1.64997e14i | −0.710859 | + | 1.23124i | ||||
\(670\) | 9.52615e13 | + | 1.64998e14i | 0.705575 | + | 1.22209i | ||||
\(671\) | 1.18354e14 | − | 6.83318e13i | 0.870104 | − | 0.502355i | ||||
\(672\) | − | 5.45058e13i | − | 0.397738i | ||||||
\(673\) | 7.12588e13 | − | 4.11413e13i | 0.516135 | − | 0.297990i | −0.219217 | − | 0.975676i | \(-0.570350\pi\) |
0.735352 | + | 0.677686i | \(0.237017\pi\) | |||||||
\(674\) | −9.87212e13 | + | 5.69967e13i | −0.709759 | + | 0.409780i | ||||
\(675\) | 8.65914e13 | − | 4.99936e13i | 0.617954 | − | 0.356776i | ||||
\(676\) | 1.47868e13 | − | 2.56115e13i | 0.104747 | − | 0.181427i | ||||
\(677\) | 1.84933e14i | 1.30038i | 0.759770 | + | 0.650192i | \(0.225312\pi\) | ||||
−0.759770 | + | 0.650192i | \(0.774688\pi\) | |||||||
\(678\) | −1.36233e14 | − | 7.86539e13i | −0.950895 | − | 0.549000i | ||||
\(679\) | −3.75969e13 | + | 2.17066e13i | −0.260497 | + | 0.150398i | ||||
\(680\) | −2.46347e13 | −0.169435 | ||||||||
\(681\) | −2.48687e13 | − | 4.30739e13i | −0.169792 | − | 0.294089i | ||||
\(682\) | −4.32109e13 | − | 2.49478e13i | −0.292867 | − | 0.169087i | ||||
\(683\) | −1.29263e14 | + | 2.23890e14i | −0.869701 | + | 1.50637i | −0.00739798 | + | 0.999973i | \(0.502355\pi\) |
−0.862303 | + | 0.506393i | \(0.830978\pi\) | |||||||
\(684\) | − | 2.42819e13i | − | 0.162182i | ||||||
\(685\) | 7.05303e13 | − | 1.22162e14i | 0.467652 | − | 0.809998i | ||||
\(686\) | 1.23470e14 | 0.812721 | ||||||||
\(687\) | − | 6.12766e13i | − | 0.400416i | ||||||
\(688\) | 3.32421e13 | − | 6.26333e13i | 0.215648 | − | 0.406315i | ||||
\(689\) | 6.39286e13 | 0.411717 | ||||||||
\(690\) | − | 1.55470e14i | − | 0.994031i | ||||||
\(691\) | 2.17407e14 | + | 1.25520e14i | 1.38001 | + | 0.796751i | 0.992160 | − | 0.124971i | \(-0.0398838\pi\) |
0.387852 | + | 0.921722i | \(0.373217\pi\) | |||||||
\(692\) | 6.47111e13 | 0.407801 | ||||||||
\(693\) | −2.73726e13 | − | 1.58036e13i | −0.171258 | − | 0.0988756i | ||||
\(694\) | 1.13925e14 | − | 1.97324e14i | 0.707654 | − | 1.22569i | ||||
\(695\) | 1.24507e14 | − | 7.18841e13i | 0.767838 | − | 0.443311i | ||||
\(696\) | 1.26398e14i | 0.773918i | ||||||||
\(697\) | −3.03079e12 | − | 5.24948e12i | −0.0184243 | − | 0.0319119i | ||||
\(698\) | 8.54202e13 | − | 1.47952e14i | 0.515565 | − | 0.892985i | ||||
\(699\) | 2.63844e14 | 1.58111 | ||||||||
\(700\) | −2.48725e13 | − | 1.43601e13i | −0.147989 | − | 0.0854413i | ||||
\(701\) | −7.01816e13 | − | 1.21558e14i | −0.414604 | − | 0.718115i | 0.580783 | − | 0.814058i | \(-0.302746\pi\) |
−0.995387 | + | 0.0959436i | \(0.969413\pi\) | |||||||
\(702\) | 4.92698e13 | + | 8.53379e13i | 0.288999 | + | 0.500560i | ||||
\(703\) | −1.07209e14 | − | 1.85692e14i | −0.624389 | − | 1.08147i | ||||
\(704\) | 1.57537e14 | 0.911000 | ||||||||
\(705\) | 8.51331e13 | + | 1.47455e14i | 0.488825 | + | 0.846669i | ||||
\(706\) | 1.54183e14 | − | 8.90174e13i | 0.879047 | − | 0.507518i | ||||
\(707\) | −2.63362e13 | − | 1.52052e13i | −0.149093 | − | 0.0860787i | ||||
\(708\) | 6.61025e13 | + | 3.81643e13i | 0.371579 | + | 0.214531i | ||||
\(709\) | −1.72608e14 | −0.963452 | −0.481726 | − | 0.876322i | \(-0.659990\pi\) | ||||
−0.481726 | + | 0.876322i | \(0.659990\pi\) | |||||||
\(710\) | 1.03781e14i | 0.575210i | ||||||||
\(711\) | 1.43959e13 | − | 2.49345e13i | 0.0792303 | − | 0.137231i | ||||
\(712\) | 4.54404e13 | − | 7.87050e13i | 0.248337 | − | 0.430133i | ||||
\(713\) | 5.43885e13 | + | 9.42037e13i | 0.295161 | + | 0.511234i | ||||
\(714\) | 8.34640e12 | − | 4.81879e12i | 0.0449788 | − | 0.0259685i | ||||
\(715\) | − | 1.44743e14i | − | 0.774584i | ||||||
\(716\) | 5.04896e13 | − | 2.91502e13i | 0.268310 | − | 0.154909i | ||||
\(717\) | 4.32386e13 | − | 2.49638e13i | 0.228179 | − | 0.131739i | ||||
\(718\) | 4.00780e13 | − | 2.31390e13i | 0.210031 | − | 0.121262i | ||||
\(719\) | −7.87135e12 | + | 1.36336e13i | −0.0409642 | + | 0.0709521i | −0.885781 | − | 0.464104i | \(-0.846376\pi\) |
0.844816 | + | 0.535056i | \(0.179710\pi\) | |||||||
\(720\) | 3.80990e13i | 0.196903i | ||||||||
\(721\) | −4.16839e13 | − | 2.40662e13i | −0.213940 | − | 0.123518i | ||||
\(722\) | −7.59643e13 | + | 4.38580e13i | −0.387190 | + | 0.223544i | ||||
\(723\) | −1.07356e14 | −0.543420 | ||||||||
\(724\) | −2.48204e13 | − | 4.29902e13i | −0.124772 | − | 0.216111i | ||||
\(725\) | 9.92097e13 | + | 5.72788e13i | 0.495295 | + | 0.285959i | ||||
\(726\) | 1.37933e13 | − | 2.38907e13i | 0.0683888 | − | 0.118453i | ||||
\(727\) | − | 2.65385e14i | − | 1.30679i | −0.757019 | − | 0.653393i | \(-0.773345\pi\) | ||
0.757019 | − | 0.653393i | \(-0.226655\pi\) | |||||||
\(728\) | 5.05500e13 | − | 8.75551e13i | 0.247209 | − | 0.428178i | ||||
\(729\) | −2.21230e14 | −1.07450 | ||||||||
\(730\) | 1.24390e14i | 0.600026i | ||||||||
\(731\) | −2.53003e13 | + | 9.02635e11i | −0.121210 | + | 0.00432440i | ||||
\(732\) | −7.56566e13 | −0.359991 | ||||||||
\(733\) | 2.93185e14i | 1.38555i | 0.721154 | + | 0.692775i | \(0.243612\pi\) | ||||
−0.721154 | + | 0.692775i | \(0.756388\pi\) | |||||||
\(734\) | 2.78327e14 | + | 1.60692e14i | 1.30639 | + | 0.754247i | ||||
\(735\) | −1.24089e14 | −0.578490 | ||||||||
\(736\) | −1.64299e14 | − | 9.48579e13i | −0.760755 | − | 0.439222i | ||||
\(737\) | −1.35208e14 | + | 2.34188e14i | −0.621821 | + | 1.07703i | ||||
\(738\) | −1.49811e13 | + | 8.64935e12i | −0.0684325 | + | 0.0395095i | ||||
\(739\) | − | 2.24724e14i | − | 1.01960i | −0.860294 | − | 0.509798i | \(-0.829720\pi\) | ||
0.860294 | − | 0.509798i | \(-0.170280\pi\) | |||||||
\(740\) | −5.52854e13 | − | 9.57571e13i | −0.249145 | − | 0.431531i | ||||
\(741\) | −7.76933e13 | + | 1.34569e14i | −0.347770 | + | 0.602356i | ||||
\(742\) | −7.14774e13 | −0.317796 | ||||||||
\(743\) | 1.41160e14 | + | 8.14987e13i | 0.623401 | + | 0.359921i | 0.778192 | − | 0.628027i | \(-0.216137\pi\) |
−0.154791 | + | 0.987947i | \(0.549470\pi\) | |||||||
\(744\) | 4.93313e13 | + | 8.54442e13i | 0.216400 | + | 0.374816i | ||||
\(745\) | 1.04653e14 | + | 1.81264e14i | 0.456006 | + | 0.789825i | ||||
\(746\) | 1.23827e13 | + | 2.14475e13i | 0.0535947 | + | 0.0928287i | ||||
\(747\) | −1.32664e14 | −0.570360 | ||||||||
\(748\) | −4.89448e12 | − | 8.47749e12i | −0.0209025 | − | 0.0362042i | ||||
\(749\) | 6.10491e13 | − | 3.52467e13i | 0.258982 | − | 0.149524i | ||||
\(750\) | 5.81844e13 | + | 3.35928e13i | 0.245189 | + | 0.141560i | ||||
\(751\) | 1.38082e14 | + | 7.97218e13i | 0.578013 | + | 0.333716i | 0.760343 | − | 0.649521i | \(-0.225031\pi\) |
−0.182330 | + | 0.983237i | \(0.558364\pi\) | |||||||
\(752\) | −1.02898e14 | −0.427875 | ||||||||
\(753\) | − | 1.02522e14i | − | 0.423490i | ||||||
\(754\) | −5.64495e13 | + | 9.77735e13i | −0.231635 | + | 0.401203i | ||||
\(755\) | −1.15298e14 | + | 1.99702e14i | −0.469989 | + | 0.814045i | ||||
\(756\) | 3.50459e13 | + | 6.07013e13i | 0.141915 | + | 0.245804i | ||||
\(757\) | −1.46875e14 | + | 8.47984e13i | −0.590839 | + | 0.341121i | −0.765429 | − | 0.643520i | \(-0.777473\pi\) |
0.174590 | + | 0.984641i | \(0.444140\pi\) | |||||||
\(758\) | 9.46921e13i | 0.378415i | ||||||||
\(759\) | 1.91101e14 | − | 1.10332e14i | 0.758670 | − | 0.438019i | ||||
\(760\) | −3.84588e14 | + | 2.22042e14i | −1.51680 | + | 0.875725i | ||||
\(761\) | −1.69184e14 | + | 9.76784e13i | −0.662881 | + | 0.382715i | −0.793374 | − | 0.608735i | \(-0.791677\pi\) |
0.130493 | + | 0.991449i | \(0.458344\pi\) | |||||||
\(762\) | −1.59839e14 | + | 2.76848e14i | −0.622167 | + | 1.07762i | ||||
\(763\) | − | 9.47566e13i | − | 0.366426i | ||||||
\(764\) | −7.98410e13 | − | 4.60962e13i | −0.306732 | − | 0.177092i | ||||
\(765\) | 1.17801e13 | − | 6.80127e12i | 0.0449618 | − | 0.0259587i | ||||
\(766\) | 2.95019e13 | 0.111868 | ||||||||
\(767\) | 1.21759e14 | + | 2.10893e14i | 0.458697 | + | 0.794486i | ||||
\(768\) | −1.82828e14 | − | 1.05556e14i | −0.684286 | − | 0.395073i | ||||
\(769\) | 1.33021e14 | − | 2.30398e14i | 0.494638 | − | 0.856738i | −0.505343 | − | 0.862919i | \(-0.668634\pi\) |
0.999981 | + | 0.00618071i | \(0.00196739\pi\) | |||||||
\(770\) | 1.61835e14i | 0.597886i | ||||||||
\(771\) | 1.52532e14 | − | 2.64193e14i | 0.559873 | − | 0.969729i | ||||
\(772\) | −9.68725e13 | −0.353276 | ||||||||
\(773\) | − | 3.07043e14i | − | 1.11251i | −0.831013 | − | 0.556253i | \(-0.812239\pi\) | ||
0.831013 | − | 0.556253i | \(-0.187761\pi\) | |||||||
\(774\) | 2.57597e12 | + | 7.22027e13i | 0.00927332 | + | 0.259925i | ||||
\(775\) | 8.94200e13 | 0.319835 | ||||||||
\(776\) | 1.37055e14i | 0.487066i | ||||||||
\(777\) | 1.33810e14 | + | 7.72552e13i | 0.472480 | + | 0.272787i | ||||
\(778\) | −1.62072e14 | −0.568603 | ||||||||
\(779\) | −9.46313e13 | − | 5.46354e13i | −0.329874 | − | 0.190453i | ||||
\(780\) | −4.00648e13 | + | 6.93942e13i | −0.138768 | + | 0.240353i | ||||
\(781\) | −1.27566e14 | + | 7.36502e13i | −0.439015 | + | 0.253465i | ||||
\(782\) | − | 3.35451e13i | − | 0.114708i | ||||||
\(783\) | −1.39789e14 | − | 2.42122e14i | −0.474968 | − | 0.822668i | ||||
\(784\) | 3.74956e13 | − | 6.49442e13i | 0.126590 | − | 0.219260i | ||||
\(785\) | 1.64031e14 | 0.550273 | ||||||||
\(786\) | 1.72234e14 | + | 9.94392e13i | 0.574124 | + | 0.331471i | ||||
\(787\) | −1.82297e14 | − | 3.15748e14i | −0.603819 | − | 1.04584i | −0.992237 | − | 0.124361i | \(-0.960312\pi\) |
0.388418 | − | 0.921483i | \(-0.373022\pi\) | |||||||
\(788\) | 6.80996e13 | + | 1.17952e14i | 0.224137 | + | 0.388217i | ||||
\(789\) | −1.76993e14 | − | 3.06561e14i | −0.578857 | − | 1.00261i | ||||
\(790\) | −1.47420e14 | −0.479094 | ||||||||
\(791\) | −1.78493e14 | − | 3.09159e14i | −0.576421 | − | 0.998390i | ||||
\(792\) | −8.64154e13 | + | 4.98920e13i | −0.277310 | + | 0.160105i | ||||
\(793\) | −2.09037e14 | − | 1.20687e14i | −0.666587 | − | 0.384854i | ||||
\(794\) | −3.24851e14 | − | 1.87553e14i | −1.02940 | − | 0.594322i | ||||
\(795\) | 2.02351e14 | 0.637192 | ||||||||
\(796\) | 2.26537e14i | 0.708882i | ||||||||
\(797\) | 9.60810e13 | − | 1.66417e14i | 0.298776 | − | 0.517496i | −0.677080 | − | 0.735909i | \(-0.736755\pi\) |
0.975856 | + | 0.218414i | \(0.0700882\pi\) | |||||||
\(798\) | 8.68675e13 | − | 1.50459e14i | 0.268437 | − | 0.464947i | ||||
\(799\) | 1.83688e13 | + | 3.18158e13i | 0.0564089 | + | 0.0977032i | ||||
\(800\) | −1.35061e14 | + | 7.79777e13i | −0.412175 | + | 0.237969i | ||||
\(801\) | 5.01817e13i | 0.152189i | ||||||||
\(802\) | −5.10581e13 | + | 2.94784e13i | −0.153884 | + | 0.0888448i | ||||
\(803\) | −1.52898e14 | + | 8.82755e13i | −0.457955 | + | 0.264400i | ||||
\(804\) | 1.29646e14 | − | 7.48509e13i | 0.385902 | − | 0.222801i | ||||
\(805\) | 1.76407e14 | − | 3.05547e14i | 0.521840 | − | 0.903854i | ||||
\(806\) | 8.81255e13i | 0.259075i | ||||||||
\(807\) | −1.20801e14 | − | 6.97445e13i | −0.352941 | − | 0.203771i | ||||
\(808\) | −8.31436e13 | + | 4.80030e13i | −0.241419 | + | 0.139383i | ||||
\(809\) | −1.21812e14 | −0.351517 | −0.175758 | − | 0.984433i | \(-0.556238\pi\) | ||||
−0.175758 | + | 0.984433i | \(0.556238\pi\) | |||||||
\(810\) | 9.76110e13 | + | 1.69067e14i | 0.279946 | + | 0.484880i | ||||
\(811\) | 5.66563e14 | + | 3.27105e14i | 1.61489 | + | 0.932359i | 0.988213 | + | 0.153083i | \(0.0489202\pi\) |
0.626680 | + | 0.779276i | \(0.284413\pi\) | |||||||
\(812\) | −4.01529e13 | + | 6.95468e13i | −0.113746 | + | 0.197014i | ||||
\(813\) | − | 1.16312e14i | − | 0.327471i | ||||||
\(814\) | −1.23343e14 | + | 2.13636e14i | −0.345137 | + | 0.597795i | ||||
\(815\) | 5.32586e14 | 1.48116 | ||||||||
\(816\) | − | 1.64886e13i | − | 0.0455756i | ||||||
\(817\) | −3.86844e14 | + | 2.42133e14i | −1.06274 | + | 0.665188i | ||||
\(818\) | −3.46289e14 | −0.945522 | ||||||||
\(819\) | 5.58244e13i | 0.151497i | ||||||||
\(820\) | −4.87993e13 | − | 2.81743e13i | −0.131627 | − | 0.0759948i | ||||
\(821\) | 6.16992e14 | 1.65411 | 0.827054 | − | 0.562122i | \(-0.190015\pi\) | ||||
0.827054 | + | 0.562122i | \(0.190015\pi\) | |||||||
\(822\) | 1.50881e14 | + | 8.71110e13i | 0.402045 | + | 0.232121i | ||||
\(823\) | −1.85488e14 | + | 3.21274e14i | −0.491266 | + | 0.850897i | −0.999949 | − | 0.0100563i | \(-0.996799\pi\) |
0.508684 | + | 0.860953i | \(0.330132\pi\) | |||||||
\(824\) | −1.31596e14 | + | 7.59772e13i | −0.346424 | + | 0.200008i | ||||
\(825\) | − | 1.81396e14i | − | 0.474634i | ||||||
\(826\) | −1.36137e14 | − | 2.35796e14i | −0.354059 | − | 0.613248i | ||||
\(827\) | −5.04134e13 | + | 8.73185e13i | −0.130322 | + | 0.225725i | −0.923801 | − | 0.382874i | \(-0.874934\pi\) |
0.793479 | + | 0.608598i | \(0.208268\pi\) | |||||||
\(828\) | 6.09031e13 | 0.156490 | ||||||||
\(829\) | −4.91438e14 | − | 2.83732e14i | −1.25515 | − | 0.724661i | −0.283022 | − | 0.959113i | \(-0.591337\pi\) |
−0.972128 | + | 0.234452i | \(0.924670\pi\) | |||||||
\(830\) | 3.39633e14 | + | 5.88261e14i | 0.862221 | + | 1.49341i | ||||
\(831\) | 1.45076e14 | + | 2.51280e14i | 0.366093 | + | 0.634092i | ||||
\(832\) | −1.39120e14 | − | 2.40964e14i | −0.348959 | − | 0.604414i | ||||
\(833\) | −2.67741e13 | −0.0667561 | ||||||||
\(834\) | 8.87830e13 | + | 1.53777e14i | 0.220039 | + | 0.381119i | ||||
\(835\) | 2.02365e14 | − | 1.16835e14i | 0.498542 | − | 0.287834i | ||||
\(836\) | −1.52822e14 | − | 8.82319e13i | −0.374244 | − | 0.216070i | ||||
\(837\) | −1.88992e14 | − | 1.09115e14i | −0.460063 | − | 0.265617i | ||||
\(838\) | 1.58685e14 | 0.383986 | ||||||||
\(839\) | 6.36036e14i | 1.52993i | 0.644071 | + | 0.764966i | \(0.277244\pi\) | ||||
−0.644071 | + | 0.764966i | \(0.722756\pi\) | |||||||
\(840\) | 1.60004e14 | − | 2.77136e14i | 0.382592 | − | 0.662668i | ||||
\(841\) | −5.01943e13 | + | 8.69392e13i | −0.119309 | + | 0.206650i | ||||
\(842\) | −2.44262e14 | − | 4.23075e14i | −0.577160 | − | 0.999670i | ||||
\(843\) | −4.30794e14 | + | 2.48719e14i | −1.01189 | + | 0.584213i | ||||
\(844\) | 7.48271e13i | 0.174722i | ||||||||
\(845\) | 2.58637e14 | − | 1.49324e14i | 0.600355 | − | 0.346615i | ||||
\(846\) | 9.07968e13 | − | 5.24215e13i | 0.209517 | − | 0.120964i | ||||
\(847\) | 5.42164e13 | − | 3.13018e13i | 0.124369 | − | 0.0718047i | ||||
\(848\) | −6.11439e13 | + | 1.05904e14i | −0.139436 | + | 0.241510i | ||||
\(849\) | 4.70838e13i | 0.106742i | ||||||||
\(850\) | −2.38812e13 | − | 1.37878e13i | −0.0538223 | − | 0.0310743i | ||||
\(851\) | 4.65746e14 | − | 2.68898e14i | 1.04352 | − | 0.602477i | ||||
\(852\) | 8.15451e13 | 0.181635 | ||||||||
\(853\) | 2.67905e14 | + | 4.64025e14i | 0.593247 | + | 1.02753i | 0.993792 | + | 0.111257i | \(0.0354876\pi\) |
−0.400545 | + | 0.916277i | \(0.631179\pi\) | |||||||
\(854\) | 2.33720e14 | + | 1.34938e14i | 0.514525 | + | 0.297061i | ||||
\(855\) | 1.22605e14 | − | 2.12358e14i | 0.268336 | − | 0.464771i | ||||
\(856\) | − | 2.22548e14i | − | 0.484234i | ||||||
\(857\) | 1.34257e14 | − | 2.32541e14i | 0.290425 | − | 0.503031i | −0.683485 | − | 0.729964i | \(-0.739537\pi\) |
0.973910 | + | 0.226933i | \(0.0728699\pi\) | |||||||
\(858\) | 1.78770e14 | 0.384467 | ||||||||
\(859\) | − | 1.87561e14i | − | 0.401030i | −0.979691 | − | 0.200515i | \(-0.935738\pi\) | ||
0.979691 | − | 0.200515i | \(-0.0642616\pi\) | |||||||
\(860\) | −1.99487e14 | + | 1.24863e14i | −0.424055 | + | 0.265425i | ||||
\(861\) | 7.87409e13 | 0.166412 | ||||||||
\(862\) | 2.18448e13i | 0.0458999i | ||||||||
\(863\) | −3.54508e14 | − | 2.04675e14i | −0.740580 | − | 0.427574i | 0.0817002 | − | 0.996657i | \(-0.473965\pi\) |
−0.822280 | + | 0.569083i | \(0.807298\pi\) | |||||||
\(864\) | 3.80610e14 | 0.790517 | ||||||||
\(865\) | 5.65933e14 | + | 3.26742e14i | 1.16865 | + | 0.674721i | ||||
\(866\) | 2.25141e14 | − | 3.89955e14i | 0.462237 | − | 0.800618i | ||||
\(867\) | 3.41471e14 | − | 1.97148e14i | 0.697040 | − | 0.402436i | ||||
\(868\) | 6.26841e13i | 0.127221i | ||||||||
\(869\) | −1.04619e14 | − | 1.81206e14i | −0.211112 | − | 0.365657i | ||||
\(870\) | −1.78678e14 | + | 3.09480e14i | −0.358488 | + | 0.620920i | ||||
\(871\) | 4.77609e14 | 0.952755 | ||||||||
\(872\) | −2.59069e14 | − | 1.49574e14i | −0.513846 | − | 0.296669i | ||||
\(873\) | −3.78390e13 | − | 6.55390e13i | −0.0746222 | − | 0.129249i | ||||
\(874\) | −3.02355e14 | − | 5.23695e14i | −0.592871 | − | 1.02688i | ||||
\(875\) | 7.62338e13 | + | 1.32041e14i | 0.148630 | + | 0.257435i | ||||
\(876\) | 9.77381e13 | 0.189471 | ||||||||
\(877\) | −1.62842e14 | − | 2.82051e14i | −0.313884 | − | 0.543663i | 0.665316 | − | 0.746562i | \(-0.268297\pi\) |
−0.979200 | + | 0.202899i | \(0.934964\pi\) | |||||||
\(878\) | 3.09468e14 | − | 1.78672e14i | 0.593121 | − | 0.342439i | ||||
\(879\) | −6.07864e14 | − | 3.50951e14i | −1.15841 | − | 0.668808i | ||||
\(880\) | 2.39783e14 | + | 1.38439e14i | 0.454364 | + | 0.262327i | ||||
\(881\) | 5.87171e14 | 1.10633 | 0.553165 | − | 0.833071i | \(-0.313420\pi\) | ||||
0.553165 | + | 0.833071i | \(0.313420\pi\) | |||||||
\(882\) | 7.64088e13i | 0.143153i | ||||||||
\(883\) | −4.28223e14 | + | 7.41704e14i | −0.797749 | + | 1.38174i | 0.123330 | + | 0.992366i | \(0.460643\pi\) |
−0.921079 | + | 0.389376i | \(0.872691\pi\) | |||||||
\(884\) | −8.64462e12 | + | 1.49729e13i | −0.0160134 | + | 0.0277361i | ||||
\(885\) | 3.85401e14 | + | 6.67535e14i | 0.709900 | + | 1.22958i | ||||
\(886\) | −8.56154e13 | + | 4.94301e13i | −0.156813 | + | 0.0905363i | ||||
\(887\) | − | 3.01348e14i | − | 0.548845i | −0.961609 | − | 0.274423i | \(-0.911513\pi\) | ||
0.961609 | − | 0.274423i | \(-0.0884867\pi\) | |||||||
\(888\) | 4.22439e14 | − | 2.43895e14i | 0.765066 | − | 0.441711i | ||||
\(889\) | −6.28266e14 | + | 3.62730e14i | −1.13145 | + | 0.653242i | ||||
\(890\) | 2.22517e14 | − | 1.28470e14i | 0.398486 | − | 0.230066i | ||||
\(891\) | −1.38543e14 | + | 2.39964e14i | −0.246715 | + | 0.427324i | ||||
\(892\) | 3.82142e14i | 0.676707i | ||||||||
\(893\) | 5.73537e14 | + | 3.31132e14i | 1.00996 | + | 0.583100i | ||||
\(894\) | −2.23877e14 | + | 1.29255e14i | −0.392032 | + | 0.226340i | ||||
\(895\) | 5.88745e14 | 1.02521 | ||||||||
\(896\) | 1.49616e13 | + | 2.59142e13i | 0.0259082 | + | 0.0448743i | ||||
\(897\) | −3.37521e14 | − | 1.94868e14i | −0.581218 | − | 0.335566i | ||||
\(898\) | 2.35470e14 | − | 4.07846e14i | 0.403231 | − | 0.698417i | ||||
\(899\) | − | 2.50031e14i | − | 0.425789i | ||||||
\(900\) | 2.50326e13 | − | 4.33578e13i | 0.0423930 | − | 0.0734268i | ||||
\(901\) | 4.36605e13 | 0.0735301 | ||||||||
\(902\) | 1.25715e14i | 0.210549i | ||||||||
\(903\) | 1.54173e14 | − | 2.90487e14i | 0.256785 | − | 0.483824i | ||||
\(904\) | −1.12701e15 | −1.86675 | ||||||||
\(905\) | − | 5.01296e14i | − | 0.825756i | ||||||
\(906\) | −2.46649e14 | − | 1.42403e14i | −0.404054 | − | 0.233281i | ||||
\(907\) | 1.59624e14 | 0.260053 | 0.130027 | − | 0.991510i | \(-0.458494\pi\) | ||||
0.130027 | + | 0.991510i | \(0.458494\pi\) | |||||||
\(908\) | −8.63962e13 | − | 4.98809e13i | −0.139980 | − | 0.0808174i | ||||
\(909\) | 2.65058e13 | − | 4.59094e13i | 0.0427092 | − | 0.0739746i | ||||
\(910\) | 2.47538e14 | − | 1.42916e14i | 0.396675 | − | 0.229020i | ||||
\(911\) | − | 8.37742e14i | − | 1.33511i | −0.744559 | − | 0.667557i | \(-0.767340\pi\) | ||
0.744559 | − | 0.667557i | \(-0.232660\pi\) | |||||||
\(912\) | −1.48618e14 | − | 2.57414e14i | −0.235558 | − | 0.407998i | ||||
\(913\) | −4.82053e14 | + | 8.34941e14i | −0.759874 | + | 1.31614i | ||||
\(914\) | −2.13516e14 | −0.334734 | ||||||||
\(915\) | −6.61658e14 | − | 3.82008e14i | −1.03164 | − | 0.595617i | ||||
\(916\) | −6.14533e13 | − | 1.06440e14i | −0.0952946 | − | 0.165055i | ||||
\(917\) | 2.25662e14 | + | 3.90859e14i | 0.348027 | + | 0.602800i | ||||
\(918\) | 3.36492e13 | + | 5.82822e13i | 0.0516133 | + | 0.0893969i | ||||
\(919\) | 1.25200e15 | 1.90997 | 0.954984 | − | 0.296657i | \(-0.0958718\pi\) | ||||
0.954984 | + | 0.296657i | \(0.0958718\pi\) | |||||||
\(920\) | −5.56919e14 | − | 9.64612e14i | −0.844993 | − | 1.46357i | ||||
\(921\) | 6.53699e14 | − | 3.77413e14i | 0.986460 | − | 0.569533i | ||||
\(922\) | −2.99181e13 | − | 1.72732e13i | −0.0449033 | − | 0.0259250i | ||||
\(923\) | 2.25306e14 | + | 1.30081e14i | 0.336330 | + | 0.194180i | ||||
\(924\) | 1.27160e14 | 0.188796 | ||||||||
\(925\) | − | 4.42095e14i | − | 0.652840i | ||||||
\(926\) | −1.33687e14 | + | 2.31553e14i | −0.196352 | + | 0.340091i | ||||
\(927\) | 4.19524e13 | − | 7.26637e13i | 0.0612855 | − | 0.106150i | ||||
\(928\) | 2.18037e14 | + | 3.77650e14i | 0.316803 | + | 0.548719i | ||||
\(929\) | −1.08512e15 | + | 6.26492e14i | −1.56818 | + | 0.905392i | −0.571804 | + | 0.820390i | \(0.693756\pi\) |
−0.996381 | + | 0.0850018i | \(0.972910\pi\) | |||||||
\(930\) | 2.78941e14i | 0.400957i | ||||||||
\(931\) | −4.17989e14 | + | 2.41326e14i | −0.597608 | + | 0.345029i | ||||
\(932\) | 4.58310e14 | − | 2.64605e14i | 0.651748 | − | 0.376287i | ||||
\(933\) | −4.66774e14 | + | 2.69492e14i | −0.660235 | + | 0.381187i | ||||
\(934\) | 5.33103e14 | − | 9.23361e14i | 0.750027 | − | 1.29908i | ||||
\(935\) | − | 9.88537e13i | − | 0.138336i | ||||||
\(936\) | 1.52627e14 | + | 8.81190e13i | 0.212447 | + | 0.122656i | ||||
\(937\) | 4.11790e14 | − | 2.37747e14i | 0.570136 | − | 0.329168i | −0.187068 | − | 0.982347i | \(-0.559898\pi\) |
0.757203 | + | 0.653179i | \(0.226565\pi\) | |||||||
\(938\) | −5.34005e14 | −0.735413 | ||||||||
\(939\) | 1.97810e13 | + | 3.42618e13i | 0.0270970 | + | 0.0469334i | ||||
\(940\) | 2.95760e14 | + | 1.70757e14i | 0.402996 | + | 0.232670i | ||||
\(941\) | −1.68444e12 | + | 2.91754e12i | −0.00228301 | + | 0.00395430i | −0.867165 | − | 0.498022i | \(-0.834060\pi\) |
0.864882 | + | 0.501976i | \(0.167393\pi\) | |||||||
\(942\) | 2.02593e14i | 0.273130i | ||||||||
\(943\) | 1.37035e14 | − | 2.37351e14i | 0.183769 | − | 0.318297i | ||||
\(944\) | −4.65823e14 | −0.621385 | ||||||||
\(945\) | 7.07821e14i | 0.939214i | ||||||||
\(946\) | 4.63780e14 | + | 2.46147e14i | 0.612148 | + | 0.324892i | ||||
\(947\) | −4.13792e14 | −0.543291 | −0.271645 | − | 0.962397i | \(-0.587568\pi\) | ||||
−0.271645 | + | 0.962397i | \(0.587568\pi\) | |||||||
\(948\) | 1.15834e14i | 0.151284i | ||||||||
\(949\) | 2.70047e14 | + | 1.55912e14i | 0.350840 | + | 0.202557i | ||||
\(950\) | −4.97101e14 | −0.642431 | ||||||||
\(951\) | 7.79010e13 | + | 4.49762e13i | 0.100148 | + | 0.0578202i | ||||
\(952\) | 3.45235e13 | − | 5.97965e13i | 0.0441500 | − | 0.0764700i | ||||
\(953\) | −4.68133e14 | + | 2.70277e14i | −0.595531 | + | 0.343830i | −0.767282 | − | 0.641310i | \(-0.778391\pi\) |
0.171750 | + | 0.985141i | \(0.445058\pi\) | |||||||
\(954\) | − | 1.24600e14i | − | 0.157679i | ||||||
\(955\) | −4.65502e14 | − | 8.06273e14i | −0.586009 | − | 1.01500i | ||||
\(956\) | 5.00716e13 | − | 8.67266e13i | 0.0627050 | − | 0.108608i | ||||
\(957\) | −5.07209e14 | −0.631870 | ||||||||
\(958\) | 7.11978e14 | + | 4.11061e14i | 0.882347 | + | 0.509423i | ||||
\(959\) | 1.97685e14 | + | 3.42401e14i | 0.243715 | + | 0.422126i | ||||
\(960\) | −4.40354e14 | − | 7.62715e14i | −0.540064 | − | 0.935419i | ||||
\(961\) | 3.12231e14 | + | 5.40800e14i | 0.380942 | + | 0.659812i | ||||
\(962\) | 4.35695e14 | 0.528819 | ||||||||
\(963\) | 6.14423e13 | + | 1.06421e14i | 0.0741884 | + | 0.128498i | ||||
\(964\) | −1.86483e14 | + | 1.07666e14i | −0.224003 | + | 0.129328i | ||||
\(965\) | −8.47202e14 | − | 4.89133e14i | −1.01240 | − | 0.584507i | ||||
\(966\) | 3.77376e14 | + | 2.17878e14i | 0.448631 | + | 0.259017i | ||||
\(967\) | −3.16323e14 | −0.374109 | −0.187054 | − | 0.982350i | \(-0.559894\pi\) | ||||
−0.187054 | + | 0.982350i | \(0.559894\pi\) | |||||||
\(968\) | − | 1.97640e14i | − | 0.232540i | ||||||
\(969\) | −5.30613e13 | + | 9.19049e13i | −0.0621096 | + | 0.107577i | ||||
\(970\) | −1.93743e14 | + | 3.35573e14i | −0.225615 | + | 0.390776i | ||||
\(971\) | −2.45178e14 | − | 4.24661e14i | −0.284044 | − | 0.491979i | 0.688333 | − | 0.725395i | \(-0.258343\pi\) |
−0.972377 | + | 0.233416i | \(0.925010\pi\) | |||||||
\(972\) | −1.85214e14 | + | 1.06933e14i | −0.213473 | + | 0.123249i | ||||
\(973\) | 4.02960e14i | 0.462059i | ||||||||
\(974\) | −1.00222e15 | + | 5.78632e14i | −1.14332 | + | 0.660097i | ||||
\(975\) | −2.77459e14 | + | 1.60191e14i | −0.314902 | + | 0.181809i | ||||
\(976\) | 3.99863e14 | − | 2.30861e14i | 0.451504 | − | 0.260676i | ||||
\(977\) | 6.81105e14 | − | 1.17971e15i | 0.765141 | − | 1.32526i | −0.175031 | − | 0.984563i | \(-0.556003\pi\) |
0.940172 | − | 0.340700i | \(-0.110664\pi\) | |||||||
\(978\) | 6.57789e14i | 0.735178i | ||||||||
\(979\) | 3.15827e14 | + | 1.82343e14i | 0.351184 | + | 0.202756i | ||||
\(980\) | −2.15548e14 | + | 1.24447e14i | −0.238459 | + | 0.137674i | ||||
\(981\) | 1.65180e14 | 0.181808 | ||||||||
\(982\) | −3.15965e13 | − | 5.47268e13i | −0.0346004 | − | 0.0599297i | ||||
\(983\) | 2.03892e14 | + | 1.17717e14i | 0.222143 | + | 0.128254i | 0.606942 | − | 0.794746i | \(-0.292396\pi\) |
−0.384799 | + | 0.923000i | \(0.625729\pi\) | |||||||
\(984\) | 1.24293e14 | − | 2.15281e14i | 0.134732 | − | 0.233362i | ||||
\(985\) | 1.37541e15i | 1.48337i | ||||||||
\(986\) | −3.85527e13 | + | 6.67752e13i | −0.0413685 | + | 0.0716524i | ||||
\(987\) | −4.77229e14 | −0.509497 | ||||||||
\(988\) | 3.11670e14i | 0.331062i | ||||||||
\(989\) | −6.07311e14 | − | 9.70270e14i | −0.641845 | − | 1.02544i | ||||
\(990\) | −2.82111e14 | −0.296650 | ||||||||
\(991\) | − | 2.79658e14i | − | 0.292590i | −0.989241 | − | 0.146295i | \(-0.953265\pi\) | ||
0.989241 | − | 0.146295i | \(-0.0467348\pi\) | |||||||
\(992\) | 2.94782e14 | + | 1.70192e14i | 0.306862 | + | 0.177167i | ||||
\(993\) | −1.36729e15 | −1.41617 | ||||||||
\(994\) | −2.51911e14 | − | 1.45441e14i | −0.259606 | − | 0.149884i | ||||
\(995\) | −1.14384e15 | + | 1.98119e15i | −1.17287 | + | 2.03147i | ||||
\(996\) | 4.62221e14 | − | 2.66863e14i | 0.471577 | − | 0.272265i | ||||
\(997\) | 4.28901e14i | 0.435393i | 0.976017 | + | 0.217696i | \(0.0698542\pi\) | ||||
−0.976017 | + | 0.217696i | \(0.930146\pi\) | |||||||
\(998\) | −4.86363e13 | − | 8.42405e13i | −0.0491256 | − | 0.0850880i | ||||
\(999\) | −5.39467e14 | + | 9.34384e14i | −0.542172 | + | 0.939070i |
(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 | 43.11.d.a.37.25 | yes | 72 | |
43.7 | odd | 6 | inner | 43.11.d.a.7.12 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.11.d.a.7.12 | ✓ | 72 | 43.7 | odd | 6 | inner | |
43.11.d.a.37.25 | yes | 72 | 1.1 | even | 1 | trivial |