Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,14,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 14, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 14);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 14 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), 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: | \(12.8677114742\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.15 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.14.b.a.11.16 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 26.1905 | − | 86.6375i | 0.289367 | − | 0.957218i | ||||
\(3\) | −919.540 | − | 865.314i | −0.728254 | − | 0.685308i | ||||
\(4\) | −6820.12 | − | 4538.16i | −0.832534 | − | 0.553974i | ||||
\(5\) | − | 34796.6i | − | 0.995935i | −0.867196 | − | 0.497968i | \(-0.834080\pi\) | ||
0.867196 | − | 0.497968i | \(-0.165920\pi\) | |||||||
\(6\) | −99051.9 | + | 57003.7i | −0.866721 | + | 0.498793i | ||||
\(7\) | − | 298175.i | − | 0.957930i | −0.877834 | − | 0.478965i | \(-0.841012\pi\) | ||
0.877834 | − | 0.478965i | \(-0.158988\pi\) | |||||||
\(8\) | −571797. | + | 472022.i | −0.771182 | + | 0.636615i | ||||
\(9\) | 96786.4 | + | 1.59138e6i | 0.0607069 | + | 0.998156i | ||||
\(10\) | −3.01469e6 | − | 911338.i | −0.953328 | − | 0.288190i | ||||
\(11\) | −2.90289e6 | −0.494058 | −0.247029 | − | 0.969008i | \(-0.579454\pi\) | ||||
−0.247029 | + | 0.969008i | \(0.579454\pi\) | |||||||
\(12\) | 2.34444e6 | + | 1.00746e7i | 0.226653 | + | 0.973976i | ||||
\(13\) | 2.73529e7 | 1.57171 | 0.785854 | − | 0.618412i | \(-0.212224\pi\) | ||||
0.785854 | + | 0.618412i | \(0.212224\pi\) | |||||||
\(14\) | −2.58331e7 | − | 7.80934e6i | −0.916948 | − | 0.277193i | ||||
\(15\) | −3.01099e7 | + | 3.19968e7i | −0.682522 | + | 0.725294i | ||||
\(16\) | 2.59191e7 | + | 6.19015e7i | 0.386225 | + | 0.922404i | ||||
\(17\) | 2.14781e7i | 0.215813i | 0.994161 | + | 0.107906i | \(0.0344147\pi\) | ||||
−0.994161 | + | 0.107906i | \(0.965585\pi\) | |||||||
\(18\) | 1.40408e8 | + | 3.32937e7i | 0.973019 | + | 0.230723i | ||||
\(19\) | 2.70019e7i | 0.131673i | 0.997830 | + | 0.0658364i | \(0.0209715\pi\) | ||||
−0.997830 | + | 0.0658364i | \(0.979028\pi\) | |||||||
\(20\) | −1.57912e8 | + | 2.37317e8i | −0.551722 | + | 0.829150i | ||||
\(21\) | −2.58015e8 | + | 2.74184e8i | −0.656477 | + | 0.697616i | ||||
\(22\) | −7.60280e7 | + | 2.51499e8i | −0.142964 | + | 0.472921i | ||||
\(23\) | −1.21010e9 | −1.70447 | −0.852237 | − | 0.523156i | \(-0.824754\pi\) | ||||
−0.852237 | + | 0.523156i | \(0.824754\pi\) | |||||||
\(24\) | 9.34237e8 | + | 6.07408e7i | 0.997893 | + | 0.0648794i | ||||
\(25\) | 9.90321e6 | 0.00811271 | ||||||||
\(26\) | 7.16386e8 | − | 2.36979e9i | 0.454800 | − | 1.50447i | ||||
\(27\) | 1.28805e9 | − | 1.54709e9i | 0.639834 | − | 0.768513i | ||||
\(28\) | −1.35316e9 | + | 2.03359e9i | −0.530668 | + | 0.797509i | ||||
\(29\) | − | 1.45524e9i | − | 0.454306i | −0.973859 | − | 0.227153i | \(-0.927058\pi\) | ||
0.973859 | − | 0.227153i | \(-0.0729418\pi\) | |||||||
\(30\) | 1.98353e9 | + | 3.44666e9i | 0.496765 | + | 0.863198i | ||||
\(31\) | − | 8.52012e9i | − | 1.72423i | −0.506715 | − | 0.862114i | \(-0.669140\pi\) | ||
0.506715 | − | 0.862114i | \(-0.330860\pi\) | |||||||
\(32\) | 6.04183e9 | − | 6.24340e8i | 0.994703 | − | 0.102789i | ||||
\(33\) | 2.66932e9 | + | 2.51191e9i | 0.359800 | + | 0.338582i | ||||
\(34\) | 1.86081e9 | + | 5.62521e8i | 0.206580 | + | 0.0624491i | ||||
\(35\) | −1.03755e10 | −0.954036 | ||||||||
\(36\) | 6.56185e9 | − | 1.12926e10i | 0.502412 | − | 0.864628i | ||||
\(37\) | −2.62979e10 | −1.68504 | −0.842518 | − | 0.538669i | \(-0.818928\pi\) | ||||
−0.842518 | + | 0.538669i | \(0.818928\pi\) | |||||||
\(38\) | 2.33938e9 | + | 7.07193e8i | 0.126040 | + | 0.0381017i | ||||
\(39\) | −2.51521e10 | − | 2.36689e10i | −1.14460 | − | 1.07710i | ||||
\(40\) | 1.64247e10 | + | 1.98966e10i | 0.634027 | + | 0.768047i | ||||
\(41\) | 2.12707e10i | 0.699338i | 0.936873 | + | 0.349669i | \(0.113706\pi\) | ||||
−0.936873 | + | 0.349669i | \(0.886294\pi\) | |||||||
\(42\) | 1.69971e10 | + | 2.95348e10i | 0.477808 | + | 0.830258i | ||||
\(43\) | 2.09825e10i | 0.506188i | 0.967442 | + | 0.253094i | \(0.0814481\pi\) | ||||
−0.967442 | + | 0.253094i | \(0.918552\pi\) | |||||||
\(44\) | 1.97980e10 | + | 1.31738e10i | 0.411320 | + | 0.273695i | ||||
\(45\) | 5.53746e10 | − | 3.36783e9i | 0.994099 | − | 0.0604601i | ||||
\(46\) | −3.16931e10 | + | 1.04840e11i | −0.493218 | + | 1.63155i | ||||
\(47\) | −2.83548e10 | −0.383699 | −0.191850 | − | 0.981424i | \(-0.561449\pi\) | ||||
−0.191850 | + | 0.981424i | \(0.561449\pi\) | |||||||
\(48\) | 2.97305e10 | − | 7.93491e10i | 0.350861 | − | 0.936428i | ||||
\(49\) | 7.98078e9 | 0.0823703 | ||||||||
\(50\) | 2.59370e8 | − | 8.57989e8i | 0.00234755 | − | 0.00776563i | ||||
\(51\) | 1.85853e10 | − | 1.97500e10i | 0.147898 | − | 0.157167i | ||||
\(52\) | −1.86550e11 | − | 1.24132e11i | −1.30850 | − | 0.870686i | ||||
\(53\) | − | 1.84057e10i | − | 0.114067i | −0.998372 | − | 0.0570333i | \(-0.981836\pi\) | ||
0.998372 | − | 0.0570333i | \(-0.0181641\pi\) | |||||||
\(54\) | −1.00302e11 | − | 1.52112e11i | −0.550489 | − | 0.834843i | ||||
\(55\) | 1.01011e11i | 0.492050i | ||||||||
\(56\) | 1.40745e11 | + | 1.70495e11i | 0.609833 | + | 0.738738i | ||||
\(57\) | 2.33651e10 | − | 2.48294e10i | 0.0902364 | − | 0.0958912i | ||||
\(58\) | −1.26079e11 | − | 3.81135e10i | −0.434870 | − | 0.131461i | ||||
\(59\) | 4.65889e11 | 1.43795 | 0.718976 | − | 0.695035i | \(-0.244611\pi\) | ||||
0.718976 | + | 0.695035i | \(0.244611\pi\) | |||||||
\(60\) | 3.50560e11 | − | 8.15786e10i | 0.970017 | − | 0.225732i | ||||
\(61\) | −4.08856e11 | −1.01608 | −0.508038 | − | 0.861335i | \(-0.669629\pi\) | ||||
−0.508038 | + | 0.861335i | \(0.669629\pi\) | |||||||
\(62\) | −7.38162e11 | − | 2.23146e11i | −1.65046 | − | 0.498934i | ||||
\(63\) | 4.74510e11 | − | 2.88593e10i | 0.956163 | − | 0.0581529i | ||||
\(64\) | 1.04147e11 | − | 5.39801e11i | 0.189443 | − | 0.981892i | ||||
\(65\) | − | 9.51787e11i | − | 1.56532i | ||||||
\(66\) | 2.87537e11 | − | 1.65475e11i | 0.428211 | − | 0.246432i | ||||
\(67\) | 1.14344e12i | 1.54429i | 0.635449 | + | 0.772143i | \(0.280815\pi\) | ||||
−0.635449 | + | 0.772143i | \(0.719185\pi\) | |||||||
\(68\) | 9.74709e10 | − | 1.46483e11i | 0.119555 | − | 0.179672i | ||||
\(69\) | 1.11274e12 | + | 1.04712e12i | 1.24129 | + | 1.16809i | ||||
\(70\) | −2.71738e11 | + | 8.98904e11i | −0.276066 | + | 0.913221i | ||||
\(71\) | −9.35998e11 | −0.867153 | −0.433576 | − | 0.901117i | \(-0.642749\pi\) | ||||
−0.433576 | + | 0.901117i | \(0.642749\pi\) | |||||||
\(72\) | −8.06509e11 | − | 8.64262e11i | −0.682257 | − | 0.731112i | ||||
\(73\) | 5.16147e11 | 0.399185 | 0.199593 | − | 0.979879i | \(-0.436038\pi\) | ||||
0.199593 | + | 0.979879i | \(0.436038\pi\) | |||||||
\(74\) | −6.88753e11 | + | 2.27838e12i | −0.487593 | + | 1.61295i | ||||
\(75\) | −9.10640e9 | − | 8.56938e9i | −0.00590811 | − | 0.00555970i | ||||
\(76\) | 1.22539e11 | − | 1.84156e11i | 0.0729433 | − | 0.109622i | ||||
\(77\) | 8.65568e11i | 0.473273i | ||||||||
\(78\) | −2.70936e12 | + | 1.55922e12i | −1.36223 | + | 0.783957i | ||||
\(79\) | − | 2.03157e12i | − | 0.940278i | −0.882592 | − | 0.470139i | \(-0.844204\pi\) | ||
0.882592 | − | 0.470139i | \(-0.155796\pi\) | |||||||
\(80\) | 2.15396e12 | − | 9.01897e11i | 0.918655 | − | 0.384655i | ||||
\(81\) | −2.52313e12 | + | 3.08048e11i | −0.992629 | + | 0.121190i | ||||
\(82\) | 1.84284e12 | + | 5.57091e11i | 0.669420 | + | 0.202365i | ||||
\(83\) | −1.79895e12 | −0.603965 | −0.301983 | − | 0.953313i | \(-0.597649\pi\) | ||||
−0.301983 | + | 0.953313i | \(0.597649\pi\) | |||||||
\(84\) | 3.00398e12 | − | 6.99054e11i | 0.933000 | − | 0.217118i | ||||
\(85\) | 7.47363e11 | 0.214936 | ||||||||
\(86\) | 1.81787e12 | + | 5.49541e11i | 0.484532 | + | 0.146474i | ||||
\(87\) | −1.25924e12 | + | 1.33815e12i | −0.311339 | + | 0.330850i | ||||
\(88\) | 1.65986e12 | − | 1.37023e12i | 0.381009 | − | 0.314525i | ||||
\(89\) | − | 6.29425e12i | − | 1.34248i | −0.741238 | − | 0.671242i | \(-0.765761\pi\) | ||
0.741238 | − | 0.671242i | \(-0.234239\pi\) | |||||||
\(90\) | 1.15851e12 | − | 4.88572e12i | 0.229785 | − | 0.969064i | ||||
\(91\) | − | 8.15595e12i | − | 1.50559i | ||||||
\(92\) | 8.25302e12 | + | 5.49162e12i | 1.41903 | + | 0.944234i | ||||
\(93\) | −7.37258e12 | + | 7.83459e12i | −1.18163 | + | 1.25567i | ||||
\(94\) | −7.42627e11 | + | 2.45659e12i | −0.111030 | + | 0.367284i | ||||
\(95\) | 9.39573e11 | 0.131138 | ||||||||
\(96\) | −6.09596e12 | − | 4.65397e12i | −0.794838 | − | 0.606821i | ||||
\(97\) | 3.83919e12 | 0.467975 | 0.233988 | − | 0.972240i | \(-0.424822\pi\) | ||||
0.233988 | + | 0.972240i | \(0.424822\pi\) | |||||||
\(98\) | 2.09020e11 | − | 6.91435e11i | 0.0238352 | − | 0.0788464i | ||||
\(99\) | −2.80960e11 | − | 4.61961e12i | −0.0299927 | − | 0.493147i | ||||
\(100\) | −6.75410e10 | − | 4.49423e10i | −0.00675410 | − | 0.00449423i | ||||
\(101\) | − | 4.88295e12i | − | 0.457713i | −0.973460 | − | 0.228856i | \(-0.926501\pi\) | ||
0.973460 | − | 0.228856i | \(-0.0734986\pi\) | |||||||
\(102\) | −1.22433e12 | − | 2.12744e12i | −0.107646 | − | 0.187050i | ||||
\(103\) | 1.33906e12i | 0.110499i | 0.998473 | + | 0.0552495i | \(0.0175954\pi\) | ||||
−0.998473 | + | 0.0552495i | \(0.982405\pi\) | |||||||
\(104\) | −1.56403e13 | + | 1.29112e13i | −1.21207 | + | 1.00057i | ||||
\(105\) | 9.54065e12 | + | 8.97803e12i | 0.694780 | + | 0.653808i | ||||
\(106\) | −1.59462e12 | − | 4.82053e11i | −0.109187 | − | 0.0330070i | ||||
\(107\) | −1.47421e13 | −0.949655 | −0.474827 | − | 0.880079i | \(-0.657489\pi\) | ||||
−0.474827 | + | 0.880079i | \(0.657489\pi\) | |||||||
\(108\) | −1.58056e13 | + | 4.70599e12i | −0.958420 | + | 0.285362i | ||||
\(109\) | 5.70963e12 | 0.326089 | 0.163044 | − | 0.986619i | \(-0.447869\pi\) | ||||
0.163044 | + | 0.986619i | \(0.447869\pi\) | |||||||
\(110\) | 8.75130e12 | + | 2.64551e12i | 0.470999 | + | 0.142383i | ||||
\(111\) | 2.41819e13 | + | 2.27559e13i | 1.22713 | + | 1.15477i | ||||
\(112\) | 1.84575e13 | − | 7.72844e12i | 0.883599 | − | 0.369977i | ||||
\(113\) | − | 3.20124e13i | − | 1.44646i | −0.690605 | − | 0.723232i | \(-0.742656\pi\) | ||
0.690605 | − | 0.723232i | \(-0.257344\pi\) | |||||||
\(114\) | −1.53921e12 | − | 2.67459e12i | −0.0656774 | − | 0.114124i | ||||
\(115\) | 4.21073e13i | 1.69755i | ||||||||
\(116\) | −6.60412e12 | + | 9.92493e12i | −0.251674 | + | 0.378225i | ||||
\(117\) | 2.64739e12 | + | 4.35290e13i | 0.0954135 | + | 1.56881i | ||||
\(118\) | 1.22018e13 | − | 4.03634e13i | 0.416095 | − | 1.37643i | ||||
\(119\) | 6.40422e12 | 0.206734 | ||||||||
\(120\) | 2.11357e12 | − | 3.25082e13i | 0.0646157 | − | 0.993837i | ||||
\(121\) | −2.60959e13 | −0.755907 | ||||||||
\(122\) | −1.07081e13 | + | 3.54222e13i | −0.294018 | + | 0.972606i | ||||
\(123\) | 1.84059e13 | − | 1.95593e13i | 0.479262 | − | 0.509296i | ||||
\(124\) | −3.86656e13 | + | 5.81082e13i | −0.955177 | + | 1.43548i | ||||
\(125\) | − | 4.28209e13i | − | 1.00402i | ||||||
\(126\) | 9.92735e12 | − | 4.18662e13i | 0.221017 | − | 0.932084i | ||||
\(127\) | − | 2.60554e13i | − | 0.551029i | −0.961297 | − | 0.275514i | \(-0.911152\pi\) | ||
0.961297 | − | 0.275514i | \(-0.0888482\pi\) | |||||||
\(128\) | −4.40393e13 | − | 2.31607e13i | −0.885067 | − | 0.465465i | ||||
\(129\) | 1.81564e13 | − | 1.92942e13i | 0.346894 | − | 0.368633i | ||||
\(130\) | −8.24605e13 | − | 2.49278e13i | −1.49835 | − | 0.452951i | ||||
\(131\) | 6.09012e13 | 1.05284 | 0.526420 | − | 0.850225i | \(-0.323534\pi\) | ||||
0.526420 | + | 0.850225i | \(0.323534\pi\) | |||||||
\(132\) | −6.80566e12 | − | 2.92453e13i | −0.111980 | − | 0.481200i | ||||
\(133\) | 8.05129e12 | 0.126133 | ||||||||
\(134\) | 9.90649e13 | + | 2.99473e13i | 1.47822 | + | 0.446865i | ||||
\(135\) | −5.38334e13 | − | 4.48196e13i | −0.765390 | − | 0.637233i | ||||
\(136\) | −1.01381e13 | − | 1.22811e13i | −0.137390 | − | 0.166431i | ||||
\(137\) | 4.56611e13i | 0.590014i | 0.955495 | + | 0.295007i | \(0.0953220\pi\) | ||||
−0.955495 | + | 0.295007i | \(0.904678\pi\) | |||||||
\(138\) | 1.19863e14 | − | 6.89802e13i | 1.47730 | − | 0.850179i | ||||
\(139\) | 3.19184e13i | 0.375357i | 0.982230 | + | 0.187679i | \(0.0600963\pi\) | ||||
−0.982230 | + | 0.187679i | \(0.939904\pi\) | |||||||
\(140\) | 7.07618e13 | + | 4.70854e13i | 0.794268 | + | 0.528511i | ||||
\(141\) | 2.60734e13 | + | 2.45358e13i | 0.279431 | + | 0.262952i | ||||
\(142\) | −2.45142e13 | + | 8.10925e13i | −0.250925 | + | 0.830055i | ||||
\(143\) | −7.94025e13 | −0.776515 | ||||||||
\(144\) | −9.60004e13 | + | 4.72385e13i | −0.897257 | + | 0.441509i | ||||
\(145\) | −5.06374e13 | −0.452459 | ||||||||
\(146\) | 1.35181e13 | − | 4.47177e13i | 0.115511 | − | 0.382107i | ||||
\(147\) | −7.33865e12 | − | 6.90588e12i | −0.0599865 | − | 0.0564490i | ||||
\(148\) | 1.79354e14 | + | 1.19344e14i | 1.40285 | + | 0.933466i | ||||
\(149\) | − | 3.86994e13i | − | 0.289730i | −0.989451 | − | 0.144865i | \(-0.953725\pi\) | ||
0.989451 | − | 0.144865i | \(-0.0462748\pi\) | |||||||
\(150\) | −9.80931e11 | + | 5.64519e11i | −0.00703146 | + | 0.00404656i | ||||
\(151\) | − | 1.29650e14i | − | 0.890065i | −0.895514 | − | 0.445033i | \(-0.853192\pi\) | ||
0.895514 | − | 0.445033i | \(-0.146808\pi\) | |||||||
\(152\) | −1.27455e13 | − | 1.54396e13i | −0.0838249 | − | 0.101544i | ||||
\(153\) | −3.41798e13 | + | 2.07879e12i | −0.215415 | + | 0.0131013i | ||||
\(154\) | 7.49907e13 | + | 2.26697e13i | 0.453026 | + | 0.136949i | ||||
\(155\) | −2.96471e14 | −1.71722 | ||||||||
\(156\) | 6.41274e13 | + | 2.75569e14i | 0.356233 | + | 1.53081i | ||||
\(157\) | −1.43864e14 | −0.766663 | −0.383332 | − | 0.923611i | \(-0.625223\pi\) | ||||
−0.383332 | + | 0.923611i | \(0.625223\pi\) | |||||||
\(158\) | −1.76011e14 | − | 5.32079e13i | −0.900052 | − | 0.272085i | ||||
\(159\) | −1.59267e13 | + | 1.69247e13i | −0.0781707 | + | 0.0830694i | ||||
\(160\) | −2.17249e13 | − | 2.10235e14i | −0.102371 | − | 0.990660i | ||||
\(161\) | 3.60821e14i | 1.63277i | ||||||||
\(162\) | −3.93935e13 | + | 2.26666e14i | −0.171229 | + | 0.985231i | ||||
\(163\) | 3.25680e13i | 0.136010i | 0.997685 | + | 0.0680052i | \(0.0216634\pi\) | ||||
−0.997685 | + | 0.0680052i | \(0.978337\pi\) | |||||||
\(164\) | 9.65299e13 | − | 1.45069e14i | 0.387415 | − | 0.582223i | ||||
\(165\) | 8.74058e13 | − | 9.28833e13i | 0.337206 | − | 0.358337i | ||||
\(166\) | −4.71154e13 | + | 1.55857e14i | −0.174767 | + | 0.578127i | ||||
\(167\) | 3.83736e14 | 1.36891 | 0.684456 | − | 0.729054i | \(-0.260040\pi\) | ||||
0.684456 | + | 0.729054i | \(0.260040\pi\) | |||||||
\(168\) | 1.81114e13 | − | 2.78566e14i | 0.0621500 | − | 0.955912i | ||||
\(169\) | 4.45307e14 | 1.47027 | ||||||||
\(170\) | 1.95738e13 | − | 6.47497e13i | 0.0621952 | − | 0.205740i | ||||
\(171\) | −4.29704e13 | + | 2.61342e12i | −0.131430 | + | 0.00799345i | ||||
\(172\) | 9.52217e13 | − | 1.43103e14i | 0.280415 | − | 0.421418i | ||||
\(173\) | − | 5.03657e14i | − | 1.42835i | −0.699966 | − | 0.714176i | \(-0.746802\pi\) | ||
0.699966 | − | 0.714176i | \(-0.253198\pi\) | |||||||
\(174\) | 8.29543e13 | + | 1.44145e14i | 0.226605 | + | 0.393757i | ||||
\(175\) | − | 2.95289e12i | − | 0.00777140i | ||||||
\(176\) | −7.52404e13 | − | 1.79693e14i | −0.190818 | − | 0.455721i | ||||
\(177\) | −4.28404e14 | − | 4.03140e14i | −1.04719 | − | 0.985439i | ||||
\(178\) | −5.45319e14 | − | 1.64850e14i | −1.28505 | − | 0.388470i | ||||
\(179\) | 4.65674e14 | 1.05812 | 0.529062 | − | 0.848583i | \(-0.322544\pi\) | ||||
0.529062 | + | 0.848583i | \(0.322544\pi\) | |||||||
\(180\) | −3.92945e14 | − | 2.28330e14i | −0.861114 | − | 0.500370i | ||||
\(181\) | 1.76681e14 | 0.373491 | 0.186745 | − | 0.982408i | \(-0.440206\pi\) | ||||
0.186745 | + | 0.982408i | \(0.440206\pi\) | |||||||
\(182\) | −7.06612e14 | − | 2.13608e14i | −1.44117 | − | 0.435666i | ||||
\(183\) | 3.75959e14 | + | 3.53788e14i | 0.739961 | + | 0.696324i | ||||
\(184\) | 6.91931e14 | − | 5.71193e14i | 1.31446 | − | 1.08509i | ||||
\(185\) | 9.15075e14i | 1.67819i | ||||||||
\(186\) | 4.85678e14 | + | 8.43933e14i | 0.860032 | + | 1.49442i | ||||
\(187\) | − | 6.23485e13i | − | 0.106624i | ||||||
\(188\) | 1.93383e14 | + | 1.28679e14i | 0.319443 | + | 0.212560i | ||||
\(189\) | −4.61304e14 | − | 3.84063e14i | −0.736182 | − | 0.612916i | ||||
\(190\) | 2.46079e13 | − | 8.14023e13i | 0.0379469 | − | 0.125527i | ||||
\(191\) | 1.60442e14 | 0.239113 | 0.119556 | − | 0.992827i | \(-0.461853\pi\) | ||||
0.119556 | + | 0.992827i | \(0.461853\pi\) | |||||||
\(192\) | −5.62865e14 | + | 4.06249e14i | −0.810860 | + | 0.585240i | ||||
\(193\) | −1.59681e14 | −0.222398 | −0.111199 | − | 0.993798i | \(-0.535469\pi\) | ||||
−0.111199 | + | 0.993798i | \(0.535469\pi\) | |||||||
\(194\) | 1.00550e14 | − | 3.32618e14i | 0.135416 | − | 0.447954i | ||||
\(195\) | −8.23595e14 | + | 8.75207e14i | −1.07273 | + | 1.13995i | ||||
\(196\) | −5.44299e13 | − | 3.62180e13i | −0.0685761 | − | 0.0456310i | ||||
\(197\) | 8.26072e14i | 1.00690i | 0.864024 | + | 0.503451i | \(0.167937\pi\) | ||||
−0.864024 | + | 0.503451i | \(0.832063\pi\) | |||||||
\(198\) | −4.07590e14 | − | 9.66480e13i | −0.480728 | − | 0.113991i | ||||
\(199\) | 6.23241e14i | 0.711396i | 0.934601 | + | 0.355698i | \(0.115757\pi\) | ||||
−0.934601 | + | 0.355698i | \(0.884243\pi\) | |||||||
\(200\) | −5.66262e12 | + | 4.67453e12i | −0.00625637 | + | 0.00516467i | ||||
\(201\) | 9.89435e14 | − | 1.05144e15i | 1.05831 | − | 1.12463i | ||||
\(202\) | −4.23046e14 | − | 1.27887e14i | −0.438131 | − | 0.132447i | ||||
\(203\) | −4.33917e14 | −0.435193 | ||||||||
\(204\) | −2.16382e14 | + | 5.03542e13i | −0.210196 | + | 0.0489147i | ||||
\(205\) | 7.40148e14 | 0.696496 | ||||||||
\(206\) | 1.16013e14 | + | 3.50707e13i | 0.105772 | + | 0.0319747i | ||||
\(207\) | −1.17121e14 | − | 1.92573e15i | −0.103473 | − | 1.70133i | ||||
\(208\) | 7.08964e14 | + | 1.69319e15i | 0.607034 | + | 1.44975i | ||||
\(209\) | − | 7.83836e13i | − | 0.0650540i | ||||||
\(210\) | 1.02771e15 | − | 5.91439e14i | 0.826884 | − | 0.475866i | ||||
\(211\) | 3.21468e14i | 0.250785i | 0.992107 | + | 0.125393i | \(0.0400191\pi\) | ||||
−0.992107 | + | 0.125393i | \(0.959981\pi\) | |||||||
\(212\) | −8.35277e13 | + | 1.25529e14i | −0.0631899 | + | 0.0949642i | ||||
\(213\) | 8.60688e14 | + | 8.09932e14i | 0.631507 | + | 0.594267i | ||||
\(214\) | −3.86103e14 | + | 1.27722e15i | −0.274798 | + | 0.909027i | ||||
\(215\) | 7.30117e14 | 0.504130 | ||||||||
\(216\) | −6.24034e12 | + | 1.49261e15i | −0.00418080 | + | 0.999991i | ||||
\(217\) | −2.54048e15 | −1.65169 | ||||||||
\(218\) | 1.49538e14 | − | 4.94668e14i | 0.0943592 | − | 0.312138i | ||||
\(219\) | −4.74618e14 | − | 4.46629e14i | −0.290708 | − | 0.273565i | ||||
\(220\) | 4.58401e14 | − | 6.88904e14i | 0.272583 | − | 0.409648i | ||||
\(221\) | 5.87488e14i | 0.339195i | ||||||||
\(222\) | 2.60485e15 | − | 1.49908e15i | 1.46046 | − | 0.840483i | ||||
\(223\) | − | 2.73142e15i | − | 1.48733i | −0.668555 | − | 0.743663i | \(-0.733087\pi\) | ||
0.668555 | − | 0.743663i | \(-0.266913\pi\) | |||||||
\(224\) | −1.86162e14 | − | 1.80152e15i | −0.0984646 | − | 0.952856i | ||||
\(225\) | 9.58496e11 | + | 1.57598e13i | 0.000492497 | + | 0.00809774i | ||||
\(226\) | −2.77347e15 | − | 8.38419e14i | −1.38458 | − | 0.418559i | ||||
\(227\) | −3.15817e15 | −1.53203 | −0.766015 | − | 0.642823i | \(-0.777763\pi\) | ||||
−0.766015 | + | 0.642823i | \(0.777763\pi\) | |||||||
\(228\) | −2.72032e14 | + | 6.33045e13i | −0.128246 | + | 0.0298441i | ||||
\(229\) | −2.30523e15 | −1.05629 | −0.528145 | − | 0.849154i | \(-0.677112\pi\) | ||||
−0.528145 | + | 0.849154i | \(0.677112\pi\) | |||||||
\(230\) | 3.64807e15 | + | 1.10281e15i | 1.62492 | + | 0.491213i | ||||
\(231\) | 7.48988e14 | − | 7.95925e14i | 0.324338 | − | 0.344663i | ||||
\(232\) | 6.86906e14 | + | 8.32103e14i | 0.289218 | + | 0.350353i | ||||
\(233\) | − | 3.03338e15i | − | 1.24198i | −0.783820 | − | 0.620988i | \(-0.786732\pi\) | ||
0.783820 | − | 0.620988i | \(-0.213268\pi\) | |||||||
\(234\) | 3.84058e15 | + | 9.10681e14i | 1.52930 | + | 0.362630i | ||||
\(235\) | 9.86651e14i | 0.382140i | ||||||||
\(236\) | −3.17742e15 | − | 2.11428e15i | −1.19714 | − | 0.796588i | ||||
\(237\) | −1.75795e15 | + | 1.86811e15i | −0.644380 | + | 0.684761i | ||||
\(238\) | 1.67730e14 | − | 5.54846e14i | 0.0598218 | − | 0.197889i | ||||
\(239\) | 1.08831e15 | 0.377718 | 0.188859 | − | 0.982004i | \(-0.439521\pi\) | ||||
0.188859 | + | 0.982004i | \(0.439521\pi\) | |||||||
\(240\) | −2.76108e15 | − | 1.03452e15i | −0.932621 | − | 0.349435i | ||||
\(241\) | 3.53567e15 | 1.16241 | 0.581207 | − | 0.813756i | \(-0.302581\pi\) | ||||
0.581207 | + | 0.813756i | \(0.302581\pi\) | |||||||
\(242\) | −6.83465e14 | + | 2.26089e15i | −0.218734 | + | 0.723568i | ||||
\(243\) | 2.58668e15 | + | 1.90004e15i | 0.805938 | + | 0.592000i | ||||
\(244\) | 2.78844e15 | + | 1.85545e15i | 0.845917 | + | 0.562880i | ||||
\(245\) | − | 2.77704e14i | − | 0.0820355i | ||||||
\(246\) | −1.21251e15 | − | 2.10691e15i | −0.348825 | − | 0.606131i | ||||
\(247\) | 7.38581e14i | 0.206951i | ||||||||
\(248\) | 4.02168e15 | + | 4.87177e15i | 1.09767 | + | 1.32969i | ||||
\(249\) | 1.65421e15 | + | 1.55666e15i | 0.439840 | + | 0.413902i | ||||
\(250\) | −3.70989e15 | − | 1.12150e15i | −0.961062 | − | 0.290528i | ||||
\(251\) | −9.04544e14 | −0.228323 | −0.114162 | − | 0.993462i | \(-0.536418\pi\) | ||||
−0.114162 | + | 0.993462i | \(0.536418\pi\) | |||||||
\(252\) | −3.36718e15 | − | 1.95658e15i | −0.828253 | − | 0.481275i | ||||
\(253\) | 3.51279e15 | 0.842109 | ||||||||
\(254\) | −2.25738e15 | − | 6.82405e14i | −0.527455 | − | 0.159449i | ||||
\(255\) | −6.87231e14 | − | 6.46704e14i | −0.156528 | − | 0.147297i | ||||
\(256\) | −3.16000e15 | + | 3.20887e15i | −0.701660 | + | 0.712512i | ||||
\(257\) | − | 7.98520e14i | − | 0.172870i | −0.996257 | − | 0.0864352i | \(-0.972452\pi\) | ||
0.996257 | − | 0.0864352i | \(-0.0275475\pi\) | |||||||
\(258\) | −1.19608e15 | − | 2.07835e15i | −0.252483 | − | 0.438724i | ||||
\(259\) | 7.84136e15i | 1.61415i | ||||||||
\(260\) | −4.31936e15 | + | 6.49130e15i | −0.867147 | + | 1.30318i | ||||
\(261\) | 2.31585e15 | − | 1.40848e14i | 0.453468 | − | 0.0275795i | ||||
\(262\) | 1.59503e15 | − | 5.27632e15i | 0.304657 | − | 1.00780i | ||||
\(263\) | 5.17370e15 | 0.964025 | 0.482013 | − | 0.876164i | \(-0.339906\pi\) | ||||
0.482013 | + | 0.876164i | \(0.339906\pi\) | |||||||
\(264\) | −2.71199e15 | − | 1.76324e14i | −0.493017 | − | 0.0320542i | ||||
\(265\) | −6.40453e14 | −0.113603 | ||||||||
\(266\) | 2.10867e14 | − | 6.97544e14i | 0.0364988 | − | 0.120737i | ||||
\(267\) | −5.44651e15 | + | 5.78782e15i | −0.920015 | + | 0.977669i | ||||
\(268\) | 5.18911e15 | − | 7.79840e15i | 0.855494 | − | 1.28567i | ||||
\(269\) | − | 2.85579e15i | − | 0.459553i | −0.973243 | − | 0.229777i | \(-0.926200\pi\) | ||
0.973243 | − | 0.229777i | \(-0.0737996\pi\) | |||||||
\(270\) | −5.29298e15 | + | 3.49015e15i | −0.831449 | + | 0.548251i | ||||
\(271\) | − | 7.33665e15i | − | 1.12512i | −0.826758 | − | 0.562558i | \(-0.809817\pi\) | ||
0.826758 | − | 0.562558i | \(-0.190183\pi\) | |||||||
\(272\) | −1.32953e15 | + | 5.56693e14i | −0.199067 | + | 0.0833524i | ||||
\(273\) | −7.05746e15 | + | 7.49973e15i | −1.03179 | + | 1.09645i | ||||
\(274\) | 3.95596e15 | + | 1.19589e15i | 0.564772 | + | 0.170730i | ||||
\(275\) | −2.87479e13 | −0.00400815 | ||||||||
\(276\) | −2.83701e15 | − | 1.21912e16i | −0.386324 | − | 1.66012i | ||||
\(277\) | −5.55757e15 | −0.739207 | −0.369604 | − | 0.929189i | \(-0.620507\pi\) | ||||
−0.369604 | + | 0.929189i | \(0.620507\pi\) | |||||||
\(278\) | 2.76533e15 | + | 8.35958e14i | 0.359299 | + | 0.108616i | ||||
\(279\) | 1.35588e16 | − | 8.24631e14i | 1.72105 | − | 0.104672i | ||||
\(280\) | 5.93265e15 | − | 4.89744e15i | 0.735735 | − | 0.607354i | ||||
\(281\) | − | 1.35955e16i | − | 1.64742i | −0.567012 | − | 0.823709i | \(-0.691901\pi\) | ||
0.567012 | − | 0.823709i | \(-0.308099\pi\) | |||||||
\(282\) | 2.80860e15 | − | 1.61633e15i | 0.332561 | − | 0.191386i | ||||
\(283\) | 1.16124e15i | 0.134372i | 0.997740 | + | 0.0671862i | \(0.0214022\pi\) | ||||
−0.997740 | + | 0.0671862i | \(0.978598\pi\) | |||||||
\(284\) | 6.38362e15 | + | 4.24771e15i | 0.721934 | + | 0.480380i | ||||
\(285\) | −8.63976e14 | − | 8.13026e14i | −0.0955015 | − | 0.0898696i | ||||
\(286\) | −2.07959e15 | + | 6.87923e15i | −0.224698 | + | 0.743294i | ||||
\(287\) | 6.34240e15 | 0.669917 | ||||||||
\(288\) | 1.57833e15 | + | 9.55443e15i | 0.162985 | + | 0.986629i | ||||
\(289\) | 9.44327e15 | 0.953425 | ||||||||
\(290\) | −1.32622e15 | + | 4.38710e15i | −0.130927 | + | 0.433102i | ||||
\(291\) | −3.53029e15 | − | 3.32210e15i | −0.340805 | − | 0.320707i | ||||
\(292\) | −3.52018e15 | − | 2.34235e15i | −0.332335 | − | 0.221138i | ||||
\(293\) | 3.24993e15i | 0.300078i | 0.988680 | + | 0.150039i | \(0.0479399\pi\) | ||||
−0.988680 | + | 0.150039i | \(0.952060\pi\) | |||||||
\(294\) | −7.90511e14 | + | 4.54934e14i | −0.0713921 | + | 0.0410857i | ||||
\(295\) | − | 1.62113e16i | − | 1.43211i | ||||||
\(296\) | 1.50370e16 | − | 1.24132e16i | 1.29947 | − | 1.07272i | ||||
\(297\) | −3.73906e15 | + | 4.49103e15i | −0.316115 | + | 0.379690i | ||||
\(298\) | −3.35282e15 | − | 1.01356e15i | −0.277335 | − | 0.0838383i | ||||
\(299\) | −3.30998e16 | −2.67894 | ||||||||
\(300\) | 2.32175e13 | + | 9.97705e13i | 0.00183877 | + | 0.00790158i | ||||
\(301\) | 6.25644e15 | 0.484892 | ||||||||
\(302\) | −1.12325e16 | − | 3.39559e15i | −0.851987 | − | 0.257555i | ||||
\(303\) | −4.22528e15 | + | 4.49007e15i | −0.313674 | + | 0.333331i | ||||
\(304\) | −1.67146e15 | + | 6.99867e14i | −0.121456 | + | 0.0508554i | ||||
\(305\) | 1.42268e16i | 1.01195i | ||||||||
\(306\) | −7.15085e14 | + | 3.01570e15i | −0.0497930 | + | 0.209990i | ||||
\(307\) | 2.46339e15i | 0.167932i | 0.996469 | + | 0.0839662i | \(0.0267588\pi\) | ||||
−0.996469 | + | 0.0839662i | \(0.973241\pi\) | |||||||
\(308\) | 3.92808e15 | − | 5.90328e15i | 0.262181 | − | 0.394016i | ||||
\(309\) | 1.15871e15 | − | 1.23132e15i | 0.0757258 | − | 0.0804713i | ||||
\(310\) | −7.76471e15 | + | 2.56855e16i | −0.496906 | + | 1.64375i | ||||
\(311\) | 2.10185e15 | 0.131723 | 0.0658613 | − | 0.997829i | \(-0.479021\pi\) | ||||
0.0658613 | + | 0.997829i | \(0.479021\pi\) | |||||||
\(312\) | 2.55541e16 | + | 1.66144e15i | 1.56840 | + | 0.101972i | ||||
\(313\) | −1.58177e16 | −0.950834 | −0.475417 | − | 0.879761i | \(-0.657703\pi\) | ||||
−0.475417 | + | 0.879761i | \(0.657703\pi\) | |||||||
\(314\) | −3.76787e15 | + | 1.24640e16i | −0.221847 | + | 0.733864i | ||||
\(315\) | −1.00420e15 | − | 1.65113e16i | −0.0579166 | − | 0.952277i | ||||
\(316\) | −9.21960e15 | + | 1.38556e16i | −0.520890 | + | 0.782814i | ||||
\(317\) | − | 6.98368e15i | − | 0.386544i | −0.981145 | − | 0.193272i | \(-0.938090\pi\) | ||
0.981145 | − | 0.193272i | \(-0.0619100\pi\) | |||||||
\(318\) | 1.04919e15 | + | 1.82311e15i | 0.0568955 | + | 0.0988639i | ||||
\(319\) | 4.22441e15i | 0.224454i | ||||||||
\(320\) | −1.87832e16 | − | 3.62396e15i | −0.977901 | − | 0.188672i | ||||
\(321\) | 1.35560e16 | + | 1.27566e16i | 0.691590 | + | 0.650806i | ||||
\(322\) | 3.12607e16 | + | 9.45008e15i | 1.56291 | + | 0.472468i | ||||
\(323\) | −5.79949e14 | −0.0284167 | ||||||||
\(324\) | 1.86060e16 | + | 9.34943e15i | 0.893534 | + | 0.448996i | ||||
\(325\) | 2.70882e14 | 0.0127508 | ||||||||
\(326\) | 2.82161e15 | + | 8.52972e14i | 0.130192 | + | 0.0393569i | ||||
\(327\) | −5.25023e15 | − | 4.94062e15i | −0.237475 | − | 0.223471i | ||||
\(328\) | −1.00402e16 | − | 1.21625e16i | −0.445209 | − | 0.539317i | ||||
\(329\) | 8.45470e15i | 0.367557i | ||||||||
\(330\) | −5.75797e15 | − | 1.00053e16i | −0.245431 | − | 0.426470i | ||||
\(331\) | 3.48464e16i | 1.45639i | 0.685372 | + | 0.728193i | \(0.259639\pi\) | ||||
−0.685372 | + | 0.728193i | \(0.740361\pi\) | |||||||
\(332\) | 1.22691e16 | + | 8.16393e15i | 0.502822 | + | 0.334581i | ||||
\(333\) | −2.54527e15 | − | 4.18499e16i | −0.102293 | − | 1.68193i | ||||
\(334\) | 1.00502e16 | − | 3.32460e16i | 0.396118 | − | 1.31035i | ||||
\(335\) | 3.97878e16 | 1.53801 | ||||||||
\(336\) | −2.36599e16 | − | 8.86490e15i | −0.897032 | − | 0.336100i | ||||
\(337\) | −2.97827e16 | −1.10757 | −0.553783 | − | 0.832661i | \(-0.686816\pi\) | ||||
−0.553783 | + | 0.832661i | \(0.686816\pi\) | |||||||
\(338\) | 1.16628e16 | − | 3.85803e16i | 0.425446 | − | 1.40737i | ||||
\(339\) | −2.77007e16 | + | 2.94367e16i | −0.991273 | + | 1.05339i | ||||
\(340\) | −5.09710e15 | − | 3.39165e15i | −0.178941 | − | 0.119069i | ||||
\(341\) | 2.47329e16i | 0.851868i | ||||||||
\(342\) | −8.98995e14 | + | 3.79129e15i | −0.0303800 | + | 0.128120i | ||||
\(343\) | − | 3.12695e16i | − | 1.03683i | ||||||
\(344\) | −9.90417e15 | − | 1.19977e16i | −0.322247 | − | 0.390363i | ||||
\(345\) | 3.64360e16 | − | 3.87194e16i | 1.16334 | − | 1.23624i | ||||
\(346\) | −4.36356e16 | − | 1.31910e16i | −1.36724 | − | 0.413317i | ||||
\(347\) | 4.04507e16 | 1.24390 | 0.621948 | − | 0.783058i | \(-0.286341\pi\) | ||||
0.621948 | + | 0.783058i | \(0.286341\pi\) | |||||||
\(348\) | 1.46609e16 | − | 3.41174e15i | 0.442483 | − | 0.102970i | ||||
\(349\) | −1.36925e15 | −0.0405619 | −0.0202810 | − | 0.999794i | \(-0.506456\pi\) | ||||
−0.0202810 | + | 0.999794i | \(0.506456\pi\) | |||||||
\(350\) | −2.55831e14 | − | 7.73375e13i | −0.00743893 | − | 0.00224878i | ||||
\(351\) | 3.52318e16 | − | 4.23175e16i | 1.00563 | − | 1.20788i | ||||
\(352\) | −1.75388e16 | + | 1.81239e15i | −0.491441 | + | 0.0507837i | ||||
\(353\) | 3.58837e16i | 0.987101i | 0.869717 | + | 0.493551i | \(0.164301\pi\) | ||||
−0.869717 | + | 0.493551i | \(0.835699\pi\) | |||||||
\(354\) | −4.61471e16 | + | 2.65574e16i | −1.24630 | + | 0.717239i | ||||
\(355\) | 3.25695e16i | 0.863628i | ||||||||
\(356\) | −2.85643e16 | + | 4.29276e16i | −0.743702 | + | 1.11766i | ||||
\(357\) | −5.88894e15 | − | 5.54166e15i | −0.150555 | − | 0.141676i | ||||
\(358\) | 1.21962e16 | − | 4.03448e16i | 0.306186 | − | 1.01286i | ||||
\(359\) | −1.64845e16 | −0.406407 | −0.203204 | − | 0.979136i | \(-0.565135\pi\) | ||||
−0.203204 | + | 0.979136i | \(0.565135\pi\) | |||||||
\(360\) | −3.00733e16 | + | 2.80637e16i | −0.728141 | + | 0.679484i | ||||
\(361\) | 4.13239e16 | 0.982662 | ||||||||
\(362\) | 4.62737e15 | − | 1.53072e16i | 0.108076 | − | 0.357512i | ||||
\(363\) | 2.39963e16 | + | 2.25812e16i | 0.550492 | + | 0.518029i | ||||
\(364\) | −3.70130e16 | + | 5.56246e16i | −0.834056 | + | 1.25345i | ||||
\(365\) | − | 1.79601e16i | − | 0.397563i | ||||||
\(366\) | 4.04979e16 | − | 2.33063e16i | 0.880654 | − | 0.506811i | ||||
\(367\) | 1.65164e16i | 0.352847i | 0.984314 | + | 0.176424i | \(0.0564528\pi\) | ||||
−0.984314 | + | 0.176424i | \(0.943547\pi\) | |||||||
\(368\) | −3.13648e16 | − | 7.49070e16i | −0.658311 | − | 1.57221i | ||||
\(369\) | −3.38499e16 | + | 2.05872e15i | −0.698049 | + | 0.0424547i | ||||
\(370\) | 7.92798e16 | + | 2.39662e16i | 1.60639 | + | 0.485611i | ||||
\(371\) | −5.48810e15 | −0.109268 | ||||||||
\(372\) | 8.58364e16 | − | 1.99749e16i | 1.67936 | − | 0.390802i | ||||
\(373\) | 4.34646e15 | 0.0835657 | 0.0417828 | − | 0.999127i | \(-0.486696\pi\) | ||||
0.0417828 | + | 0.999127i | \(0.486696\pi\) | |||||||
\(374\) | −5.40172e15 | − | 1.63294e15i | −0.102063 | − | 0.0308535i | ||||
\(375\) | −3.70535e16 | + | 3.93755e16i | −0.688059 | + | 0.731178i | ||||
\(376\) | 1.62132e16 | − | 1.33841e16i | 0.295902 | − | 0.244269i | ||||
\(377\) | − | 3.98051e16i | − | 0.714037i | ||||||
\(378\) | −4.53560e16 | + | 2.99074e16i | −0.799721 | + | 0.527330i | ||||
\(379\) | − | 3.83312e15i | − | 0.0664351i | −0.999448 | − | 0.0332176i | \(-0.989425\pi\) | ||
0.999448 | − | 0.0332176i | \(-0.0105754\pi\) | |||||||
\(380\) | −6.40800e15 | − | 4.26393e15i | −0.109177 | − | 0.0726468i | ||||
\(381\) | −2.25461e16 | + | 2.39590e16i | −0.377624 | + | 0.401289i | ||||
\(382\) | 4.20206e15 | − | 1.39003e16i | 0.0691912 | − | 0.228883i | ||||
\(383\) | −3.39768e16 | −0.550034 | −0.275017 | − | 0.961439i | \(-0.588684\pi\) | ||||
−0.275017 | + | 0.961439i | \(0.588684\pi\) | |||||||
\(384\) | 2.04547e16 | + | 5.94050e16i | 0.325567 | + | 0.945519i | ||||
\(385\) | 3.01188e16 | 0.471349 | ||||||||
\(386\) | −4.18212e15 | + | 1.38344e16i | −0.0643546 | + | 0.212884i | ||||
\(387\) | −3.33911e16 | + | 2.03082e15i | −0.505254 | + | 0.0307291i | ||||
\(388\) | −2.61837e16 | − | 1.74228e16i | −0.389605 | − | 0.259246i | ||||
\(389\) | 1.30017e17i | 1.90252i | 0.308392 | + | 0.951259i | \(0.400209\pi\) | ||||
−0.308392 | + | 0.951259i | \(0.599791\pi\) | |||||||
\(390\) | 5.42554e16 | + | 9.42763e16i | 0.780770 | + | 1.35670i | ||||
\(391\) | − | 2.59906e16i | − | 0.367847i | ||||||
\(392\) | −4.56338e15 | + | 3.76710e15i | −0.0635225 | + | 0.0524382i | ||||
\(393\) | −5.60011e16 | − | 5.26986e16i | −0.766734 | − | 0.721519i | ||||
\(394\) | 7.15688e16 | + | 2.16352e16i | 0.963826 | + | 0.291364i | ||||
\(395\) | −7.06918e16 | −0.936457 | ||||||||
\(396\) | −1.90483e16 | + | 3.27813e16i | −0.248221 | + | 0.427177i | ||||
\(397\) | 2.81477e16 | 0.360831 | 0.180416 | − | 0.983590i | \(-0.442256\pi\) | ||||
0.180416 | + | 0.983590i | \(0.442256\pi\) | |||||||
\(398\) | 5.39961e16 | + | 1.63230e16i | 0.680961 | + | 0.205854i | ||||
\(399\) | −7.40349e15 | − | 6.96689e15i | −0.0918571 | − | 0.0864401i | ||||
\(400\) | 2.56683e14 | + | 6.13023e14i | 0.00313333 | + | 0.00748320i | ||||
\(401\) | − | 2.80629e16i | − | 0.337050i | −0.985697 | − | 0.168525i | \(-0.946100\pi\) | ||
0.985697 | − | 0.168525i | \(-0.0539004\pi\) | |||||||
\(402\) | −6.51804e16 | − | 1.13260e17i | −0.770278 | − | 1.33846i | ||||
\(403\) | − | 2.33050e17i | − | 2.70998i | ||||||
\(404\) | −2.21596e16 | + | 3.33023e16i | −0.253561 | + | 0.381061i | ||||
\(405\) | 1.07190e16 | + | 8.77962e16i | 0.120697 | + | 0.988595i | ||||
\(406\) | −1.13645e16 | + | 3.75935e16i | −0.125930 | + | 0.416575i | ||||
\(407\) | 7.63397e16 | 0.832505 | ||||||||
\(408\) | −1.30459e15 | + | 2.00656e16i | −0.0140018 | + | 0.215358i | ||||
\(409\) | −6.70558e16 | −0.708328 | −0.354164 | − | 0.935183i | \(-0.615235\pi\) | ||||
−0.354164 | + | 0.935183i | \(0.615235\pi\) | |||||||
\(410\) | 1.93848e16 | − | 6.41246e16i | 0.201543 | − | 0.666699i | ||||
\(411\) | 3.95112e16 | − | 4.19872e16i | 0.404341 | − | 0.429680i | ||||
\(412\) | 6.07687e15 | − | 9.13255e15i | 0.0612136 | − | 0.0919942i | ||||
\(413\) | − | 1.38916e17i | − | 1.37746i | ||||||
\(414\) | −1.69908e17 | − | 4.02887e16i | −1.65849 | − | 0.393262i | ||||
\(415\) | 6.25973e16i | 0.601511i | ||||||||
\(416\) | 1.65262e17 | − | 1.70775e16i | 1.56338 | − | 0.161554i | ||||
\(417\) | 2.76194e16 | − | 2.93502e16i | 0.257235 | − | 0.273355i | ||||
\(418\) | −6.79096e15 | − | 2.05290e15i | −0.0622709 | − | 0.0188245i | ||||
\(419\) | −8.15129e16 | −0.735928 | −0.367964 | − | 0.929840i | \(-0.619945\pi\) | ||||
−0.367964 | + | 0.929840i | \(0.619945\pi\) | |||||||
\(420\) | −2.43247e16 | − | 1.04528e17i | −0.216235 | − | 0.929208i | ||||
\(421\) | 1.51619e16 | 0.132715 | 0.0663575 | − | 0.997796i | \(-0.478862\pi\) | ||||
0.0663575 | + | 0.997796i | \(0.478862\pi\) | |||||||
\(422\) | 2.78512e16 | + | 8.41941e15i | 0.240056 | + | 0.0725689i | ||||
\(423\) | −2.74436e15 | − | 4.51234e16i | −0.0232932 | − | 0.382992i | ||||
\(424\) | 8.68787e15 | + | 1.05243e16i | 0.0726165 | + | 0.0879660i | ||||
\(425\) | 2.12702e14i | 0.00175083i | ||||||||
\(426\) | 9.27123e16 | − | 5.33554e16i | 0.751580 | − | 0.432529i | ||||
\(427\) | 1.21910e17i | 0.973329i | ||||||||
\(428\) | 1.00543e17 | + | 6.69021e16i | 0.790620 | + | 0.526084i | ||||
\(429\) | 7.30138e16 | + | 6.87081e16i | 0.565500 | + | 0.532152i | ||||
\(430\) | 1.91221e16 | − | 6.32556e16i | 0.145878 | − | 0.482563i | ||||
\(431\) | 1.96291e16 | 0.147502 | 0.0737512 | − | 0.997277i | \(-0.476503\pi\) | ||||
0.0737512 | + | 0.997277i | \(0.476503\pi\) | |||||||
\(432\) | 1.29152e17 | + | 3.96328e16i | 0.956000 | + | 0.293366i | ||||
\(433\) | −1.83373e16 | −0.133710 | −0.0668550 | − | 0.997763i | \(-0.521296\pi\) | ||||
−0.0668550 | + | 0.997763i | \(0.521296\pi\) | |||||||
\(434\) | −6.65365e16 | + | 2.20101e17i | −0.477944 | + | 1.58103i | ||||
\(435\) | 4.65632e16 | + | 4.38173e16i | 0.329505 | + | 0.310074i | ||||
\(436\) | −3.89403e16 | − | 2.59112e16i | −0.271480 | − | 0.180645i | ||||
\(437\) | − | 3.26750e16i | − | 0.224433i | ||||||
\(438\) | −5.11253e16 | + | 2.94223e16i | −0.345982 | + | 0.199111i | ||||
\(439\) | 1.56559e17i | 1.04390i | 0.852976 | + | 0.521950i | \(0.174795\pi\) | ||||
−0.852976 | + | 0.521950i | \(0.825205\pi\) | |||||||
\(440\) | −4.76791e16 | − | 5.77575e16i | −0.313246 | − | 0.379460i | ||||
\(441\) | 7.72431e14 | + | 1.27005e16i | 0.00500045 | + | 0.0822184i | ||||
\(442\) | 5.08985e16 | + | 1.53866e16i | 0.324684 | + | 0.0981517i | ||||
\(443\) | 2.30283e17 | 1.44756 | 0.723780 | − | 0.690030i | \(-0.242403\pi\) | ||||
0.723780 | + | 0.690030i | \(0.242403\pi\) | |||||||
\(444\) | −6.16538e16 | − | 2.64939e17i | −0.381919 | − | 1.64118i | ||||
\(445\) | −2.19018e17 | −1.33703 | ||||||||
\(446\) | −2.36643e17 | − | 7.15371e16i | −1.42370 | − | 0.430383i | ||||
\(447\) | −3.34872e16 | + | 3.55857e16i | −0.198554 | + | 0.210997i | ||||
\(448\) | −1.60955e17 | − | 3.10540e16i | −0.940584 | − | 0.181473i | ||||
\(449\) | 2.31569e16i | 0.133376i | 0.997774 | + | 0.0666882i | \(0.0212433\pi\) | ||||
−0.997774 | + | 0.0666882i | \(0.978757\pi\) | |||||||
\(450\) | 1.39049e15 | + | 3.29715e14i | 0.00789382 | + | 0.00187179i | ||||
\(451\) | − | 6.17466e16i | − | 0.345514i | ||||||
\(452\) | −1.45277e17 | + | 2.18328e17i | −0.801304 | + | 1.20423i | ||||
\(453\) | −1.12188e17 | + | 1.19218e17i | −0.609968 | + | 0.648193i | ||||
\(454\) | −8.27139e16 | + | 2.73616e17i | −0.443318 | + | 1.46649i | ||||
\(455\) | −2.83799e17 | −1.49947 | ||||||||
\(456\) | −1.64012e15 | + | 2.52262e16i | −0.00854286 | + | 0.131395i | ||||
\(457\) | 2.79911e17 | 1.43736 | 0.718678 | − | 0.695343i | \(-0.244748\pi\) | ||||
0.718678 | + | 0.695343i | \(0.244748\pi\) | |||||||
\(458\) | −6.03750e16 | + | 1.99719e17i | −0.305655 | + | 1.01110i | ||||
\(459\) | 3.32285e16 | + | 2.76648e16i | 0.165855 | + | 0.138084i | ||||
\(460\) | 1.91090e17 | − | 2.87177e17i | 0.940396 | − | 1.41326i | ||||
\(461\) | − | 3.44894e17i | − | 1.67351i | −0.547574 | − | 0.836757i | \(-0.684449\pi\) | ||
0.547574 | − | 0.836757i | \(-0.315551\pi\) | |||||||
\(462\) | −4.93406e16 | − | 8.57362e16i | −0.236065 | − | 0.410196i | ||||
\(463\) | 2.58612e17i | 1.22003i | 0.792388 | + | 0.610017i | \(0.208837\pi\) | ||||
−0.792388 | + | 0.610017i | \(0.791163\pi\) | |||||||
\(464\) | 9.00817e16 | − | 3.77187e16i | 0.419054 | − | 0.175465i | ||||
\(465\) | 2.72617e17 | + | 2.56540e17i | 1.25057 | + | 1.17682i | ||||
\(466\) | −2.62804e17 | − | 7.94456e16i | −1.18884 | − | 0.359386i | ||||
\(467\) | 2.18680e17 | 0.975551 | 0.487776 | − | 0.872969i | \(-0.337808\pi\) | ||||
0.487776 | + | 0.872969i | \(0.337808\pi\) | |||||||
\(468\) | 1.79486e17 | − | 3.08887e17i | 0.789645 | − | 1.35894i | ||||
\(469\) | 3.40945e17 | 1.47932 | ||||||||
\(470\) | 8.54810e16 | + | 2.58409e16i | 0.365791 | + | 0.110579i | ||||
\(471\) | 1.32289e17 | + | 1.24488e17i | 0.558325 | + | 0.525400i | ||||
\(472\) | −2.66394e17 | + | 2.19910e17i | −1.10892 | + | 0.915421i | ||||
\(473\) | − | 6.09098e16i | − | 0.250086i | ||||||
\(474\) | 1.15807e17 | + | 2.01231e17i | 0.469004 | + | 0.814959i | ||||
\(475\) | 2.67406e14i | 0.00106822i | ||||||||
\(476\) | −4.36775e16 | − | 2.90634e16i | −0.172113 | − | 0.114525i | ||||
\(477\) | 2.92904e16 | − | 1.78142e15i | 0.113856 | − | 0.00692462i | ||||
\(478\) | 2.85035e16 | − | 9.42889e16i | 0.109299 | − | 0.361559i | ||||
\(479\) | −2.78594e17 | −1.05388 | −0.526940 | − | 0.849903i | \(-0.676661\pi\) | ||||
−0.526940 | + | 0.849903i | \(0.676661\pi\) | |||||||
\(480\) | −1.61942e17 | + | 2.12118e17i | −0.604355 | + | 0.791608i | ||||
\(481\) | −7.19323e17 | −2.64838 | ||||||||
\(482\) | 9.26009e16 | − | 3.06322e17i | 0.336364 | − | 1.11268i | ||||
\(483\) | 3.12224e17 | − | 3.31790e17i | 1.11895 | − | 1.18907i | ||||
\(484\) | 1.77977e17 | + | 1.18427e17i | 0.629318 | + | 0.418753i | ||||
\(485\) | − | 1.33590e17i | − | 0.466073i | ||||||
\(486\) | 2.32361e17 | − | 1.74341e17i | 0.799884 | − | 0.600154i | ||||
\(487\) | − | 3.42010e17i | − | 1.16172i | −0.814005 | − | 0.580858i | \(-0.802717\pi\) | ||
0.814005 | − | 0.580858i | \(-0.197283\pi\) | |||||||
\(488\) | 2.33782e17 | − | 1.92989e17i | 0.783579 | − | 0.646849i | ||||
\(489\) | 2.81816e16 | − | 2.99476e16i | 0.0932089 | − | 0.0990500i | ||||
\(490\) | −2.40596e16 | − | 7.27319e15i | −0.0785259 | − | 0.0237383i | ||||
\(491\) | 1.32470e17 | 0.426666 | 0.213333 | − | 0.976979i | \(-0.431568\pi\) | ||||
0.213333 | + | 0.976979i | \(0.431568\pi\) | |||||||
\(492\) | −2.14293e17 | + | 4.98680e16i | −0.681138 | + | 0.158507i | ||||
\(493\) | 3.12558e16 | 0.0980451 | ||||||||
\(494\) | 6.39888e16 | + | 1.93438e16i | 0.198098 | + | 0.0598848i | ||||
\(495\) | −1.60746e17 | + | 9.77644e15i | −0.491142 | + | 0.0298708i | ||||
\(496\) | 5.27408e17 | − | 2.20834e17i | 1.59043 | − | 0.665940i | ||||
\(497\) | 2.79091e17i | 0.830672i | ||||||||
\(498\) | 1.78190e17 | − | 1.02547e17i | 0.523470 | − | 0.301254i | ||||
\(499\) | 6.42956e15i | 0.0186435i | 0.999957 | + | 0.00932175i | \(0.00296725\pi\) | ||||
−0.999957 | + | 0.00932175i | \(0.997033\pi\) | |||||||
\(500\) | −1.94328e17 | + | 2.92043e17i | −0.556198 | + | 0.835877i | ||||
\(501\) | −3.52861e17 | − | 3.32052e17i | −0.996916 | − | 0.938126i | ||||
\(502\) | −2.36904e16 | + | 7.83674e16i | −0.0660692 | + | 0.218555i | ||||
\(503\) | −2.53043e17 | −0.696630 | −0.348315 | − | 0.937378i | \(-0.613246\pi\) | ||||
−0.348315 | + | 0.937378i | \(0.613246\pi\) | |||||||
\(504\) | −2.57701e17 | + | 2.40481e17i | −0.700354 | + | 0.653554i | ||||
\(505\) | −1.69910e17 | −0.455852 | ||||||||
\(506\) | 9.20015e16 | − | 3.04339e17i | 0.243678 | − | 0.806082i | ||||
\(507\) | −4.09478e17 | − | 3.85331e17i | −1.07073 | − | 1.00759i | ||||
\(508\) | −1.18244e17 | + | 1.77701e17i | −0.305256 | + | 0.458750i | ||||
\(509\) | 2.89062e17i | 0.736758i | 0.929676 | + | 0.368379i | \(0.120087\pi\) | ||||
−0.929676 | + | 0.368379i | \(0.879913\pi\) | |||||||
\(510\) | −7.40277e16 | + | 4.26025e16i | −0.186289 | + | 0.107208i | ||||
\(511\) | − | 1.53902e17i | − | 0.382391i | ||||||
\(512\) | 1.95247e17 | + | 3.57816e17i | 0.478993 | + | 0.877819i | ||||
\(513\) | 4.17744e16 | + | 3.47797e16i | 0.101192 | + | 0.0842487i | ||||
\(514\) | −6.91818e16 | − | 2.09136e16i | −0.165475 | − | 0.0500229i | ||||
\(515\) | 4.65947e16 | 0.110050 | ||||||||
\(516\) | −2.11389e17 | + | 4.91922e16i | −0.493014 | + | 0.114729i | ||||
\(517\) | 8.23110e16 | 0.189570 | ||||||||
\(518\) | 6.79356e17 | + | 2.05369e17i | 1.54509 | + | 0.467080i | ||||
\(519\) | −4.35821e17 | + | 4.63133e17i | −0.978860 | + | 1.04020i | ||||
\(520\) | 4.49264e17 | + | 5.44229e17i | 0.996506 | + | 1.20715i | ||||
\(521\) | 1.68996e17i | 0.370195i | 0.982720 | + | 0.185097i | \(0.0592600\pi\) | ||||
−0.982720 | + | 0.185097i | \(0.940740\pi\) | |||||||
\(522\) | 4.84505e16 | − | 2.04328e17i | 0.104819 | − | 0.442049i | ||||
\(523\) | − | 6.18450e17i | − | 1.32143i | −0.750638 | − | 0.660714i | \(-0.770254\pi\) | ||
0.750638 | − | 0.660714i | \(-0.229746\pi\) | |||||||
\(524\) | −4.15353e17 | − | 2.76379e17i | −0.876524 | − | 0.583246i | ||||
\(525\) | −2.55517e15 | + | 2.71530e15i | −0.00532580 | + | 0.00565955i | ||||
\(526\) | 1.35502e17 | − | 4.48236e17i | 0.278957 | − | 0.922783i | ||||
\(527\) | 1.82996e17 | 0.372110 | ||||||||
\(528\) | −8.63045e16 | + | 2.30342e17i | −0.173346 | + | 0.462650i | ||||
\(529\) | 9.60306e17 | 1.90523 | ||||||||
\(530\) | −1.67738e16 | + | 5.54873e16i | −0.0328729 | + | 0.108743i | ||||
\(531\) | 4.50917e16 | + | 7.41407e17i | 0.0872935 | + | 1.43530i | ||||
\(532\) | −5.49108e16 | − | 3.65380e16i | −0.105010 | − | 0.0698746i | ||||
\(533\) | 5.81817e17i | 1.09916i | ||||||||
\(534\) | 3.58796e17 | + | 6.23458e17i | 0.669621 | + | 1.16356i | ||||
\(535\) | 5.12975e17i | 0.945795i | ||||||||
\(536\) | −5.39729e17 | − | 6.53816e17i | −0.983115 | − | 1.19092i | ||||
\(537\) | −4.28206e17 | − | 4.02954e17i | −0.770583 | − | 0.725141i | ||||
\(538\) | −2.47418e17 | − | 7.47944e16i | −0.439893 | − | 0.132979i | ||||
\(539\) | −2.31673e16 | −0.0406957 | ||||||||
\(540\) | 1.63752e17 | + | 5.49979e17i | 0.284202 | + | 0.954524i | ||||
\(541\) | 7.67513e17 | 1.31614 | 0.658072 | − | 0.752955i | \(-0.271372\pi\) | ||||
0.658072 | + | 0.752955i | \(0.271372\pi\) | |||||||
\(542\) | −6.35629e17 | − | 1.92150e17i | −1.07698 | − | 0.325571i | ||||
\(543\) | −1.62466e17 | − | 1.52885e17i | −0.271996 | − | 0.255956i | ||||
\(544\) | 1.34096e16 | + | 1.29767e17i | 0.0221832 | + | 0.214670i | ||||
\(545\) | − | 1.98675e17i | − | 0.324763i | ||||||
\(546\) | 4.64920e17 | + | 8.07862e17i | 0.750975 | + | 1.30492i | ||||
\(547\) | − | 2.37613e17i | − | 0.379273i | −0.981854 | − | 0.189637i | \(-0.939269\pi\) | ||
0.981854 | − | 0.189637i | \(-0.0607310\pi\) | |||||||
\(548\) | 2.07217e17 | − | 3.11414e17i | 0.326853 | − | 0.491207i | ||||
\(549\) | −3.95717e16 | − | 6.50646e17i | −0.0616828 | − | 1.01420i | ||||
\(550\) | −7.52921e14 | + | 2.49065e15i | −0.00115982 | + | 0.00383667i | ||||
\(551\) | 3.92943e16 | 0.0598198 | ||||||||
\(552\) | −1.13052e18 | − | 7.35024e16i | −1.70088 | − | 0.110585i | ||||
\(553\) | −6.05764e17 | −0.900721 | ||||||||
\(554\) | −1.45555e17 | + | 4.81494e17i | −0.213902 | + | 0.707583i | ||||
\(555\) | 7.91827e17 | − | 8.41448e17i | 1.15007 | − | 1.22215i | ||||
\(556\) | 1.44851e17 | − | 2.17687e17i | 0.207938 | − | 0.312498i | ||||
\(557\) | 2.86105e17i | 0.405944i | 0.979185 | + | 0.202972i | \(0.0650600\pi\) | ||||
−0.979185 | + | 0.202972i | \(0.934940\pi\) | |||||||
\(558\) | 2.83666e17 | − | 1.19629e18i | 0.397819 | − | 1.67771i | ||||
\(559\) | 5.73932e17i | 0.795579i | ||||||||
\(560\) | −2.68923e17 | − | 6.42256e17i | −0.368473 | − | 0.880007i | ||||
\(561\) | −5.39510e16 | + | 5.73319e16i | −0.0730703 | + | 0.0776494i | ||||
\(562\) | −1.17788e18 | − | 3.56073e17i | −1.57694 | − | 0.476708i | ||||
\(563\) | 8.97023e17 | 1.18713 | 0.593566 | − | 0.804785i | \(-0.297720\pi\) | ||||
0.593566 | + | 0.804785i | \(0.297720\pi\) | |||||||
\(564\) | −6.64764e16 | − | 2.85663e17i | −0.0869667 | − | 0.373714i | ||||
\(565\) | −1.11392e18 | −1.44059 | ||||||||
\(566\) | 1.00607e17 | + | 3.04134e16i | 0.128624 | + | 0.0388829i | ||||
\(567\) | 9.18523e16 | + | 7.52334e17i | 0.116091 | + | 0.950869i | ||||
\(568\) | 5.35201e17 | − | 4.41811e17i | 0.668732 | − | 0.552043i | ||||
\(569\) | − | 1.21954e17i | − | 0.150650i | −0.997159 | − | 0.0753248i | \(-0.976001\pi\) | ||
0.997159 | − | 0.0753248i | \(-0.0239994\pi\) | |||||||
\(570\) | −9.30665e16 | + | 5.35592e16i | −0.113660 | + | 0.0654105i | ||||
\(571\) | 6.30914e17i | 0.761790i | 0.924618 | + | 0.380895i | \(0.124384\pi\) | ||||
−0.924618 | + | 0.380895i | \(0.875616\pi\) | |||||||
\(572\) | 5.41534e17 | + | 3.60341e17i | 0.646475 | + | 0.430169i | ||||
\(573\) | −1.47533e17 | − | 1.38833e17i | −0.174135 | − | 0.163866i | ||||
\(574\) | 1.66110e17 | − | 5.49489e17i | 0.193852 | − | 0.641257i | ||||
\(575\) | −1.19839e16 | −0.0138279 | ||||||||
\(576\) | 8.69109e17 | + | 1.13493e17i | 0.991581 | + | 0.129486i | ||||
\(577\) | −1.08717e16 | −0.0122646 | −0.00613229 | − | 0.999981i | \(-0.501952\pi\) | ||||
−0.00613229 | + | 0.999981i | \(0.501952\pi\) | |||||||
\(578\) | 2.47324e17 | − | 8.18141e17i | 0.275889 | − | 0.912636i | ||||
\(579\) | 1.46833e17 | + | 1.38174e17i | 0.161962 | + | 0.152411i | ||||
\(580\) | 3.45353e17 | + | 2.29801e17i | 0.376688 | + | 0.250651i | ||||
\(581\) | 5.36402e17i | 0.578557i | ||||||||
\(582\) | −3.80279e17 | + | 2.18848e17i | −0.405604 | + | 0.233423i | ||||
\(583\) | 5.34296e16i | 0.0563555i | ||||||||
\(584\) | −2.95131e17 | + | 2.43632e17i | −0.307844 | + | 0.254127i | ||||
\(585\) | 1.51466e18 | − | 9.21201e16i | 1.56243 | − | 0.0950257i | ||||
\(586\) | 2.81565e17 | + | 8.51171e16i | 0.287240 | + | 0.0868325i | ||||
\(587\) | −2.76652e17 | −0.279117 | −0.139558 | − | 0.990214i | \(-0.544568\pi\) | ||||
−0.139558 | + | 0.990214i | \(0.544568\pi\) | |||||||
\(588\) | 1.87105e16 | + | 8.04029e16i | 0.0186695 | + | 0.0802267i | ||||
\(589\) | 2.30059e17 | 0.227034 | ||||||||
\(590\) | −1.40451e18 | − | 4.24582e17i | −1.37084 | − | 0.414404i | ||||
\(591\) | 7.14812e17 | − | 7.59607e17i | 0.690038 | − | 0.733281i | ||||
\(592\) | −6.81618e17 | − | 1.62788e18i | −0.650803 | − | 1.55428i | ||||
\(593\) | − | 1.51250e18i | − | 1.42837i | −0.699957 | − | 0.714185i | \(-0.746798\pi\) | ||
0.699957 | − | 0.714185i | \(-0.253202\pi\) | |||||||
\(594\) | 2.91164e17 | + | 4.41565e17i | 0.271973 | + | 0.412461i | ||||
\(595\) | − | 2.22845e17i | − | 0.205893i | ||||||
\(596\) | −1.75624e17 | + | 2.63935e17i | −0.160503 | + | 0.241210i | ||||
\(597\) | 5.39299e17 | − | 5.73095e17i | 0.487525 | − | 0.518076i | ||||
\(598\) | −8.66899e17 | + | 2.86768e18i | −0.775195 | + | 2.56433i | ||||
\(599\) | 9.45670e17 | 0.836499 | 0.418249 | − | 0.908332i | \(-0.362644\pi\) | ||||
0.418249 | + | 0.908332i | \(0.362644\pi\) | |||||||
\(600\) | 9.25194e15 | + | 6.01528e14i | 0.00809561 | + | 0.000526348i | ||||
\(601\) | −4.68443e17 | −0.405483 | −0.202741 | − | 0.979232i | \(-0.564985\pi\) | ||||
−0.202741 | + | 0.979232i | \(0.564985\pi\) | |||||||
\(602\) | 1.63859e17 | − | 5.42043e17i | 0.140312 | − | 0.464148i | ||||
\(603\) | −1.81965e18 | + | 1.10670e17i | −1.54144 | + | 0.0937487i | ||||
\(604\) | −5.88371e17 | + | 8.84227e17i | −0.493073 | + | 0.741009i | ||||
\(605\) | 9.08049e17i | 0.752834i | ||||||||
\(606\) | 2.78346e17 | + | 4.83665e17i | 0.228304 | + | 0.396709i | ||||
\(607\) | − | 6.64963e16i | − | 0.0539599i | −0.999636 | − | 0.0269799i | \(-0.991411\pi\) | ||
0.999636 | − | 0.0269799i | \(-0.00858903\pi\) | |||||||
\(608\) | 1.68584e16 | + | 1.63141e17i | 0.0135345 | + | 0.130975i | ||||
\(609\) | 3.99004e17 | + | 3.75474e17i | 0.316931 | + | 0.298241i | ||||
\(610\) | 1.23257e18 | + | 3.72606e17i | 0.968653 | + | 0.292823i | ||||
\(611\) | −7.75588e17 | −0.603064 | ||||||||
\(612\) | 2.42544e17 | + | 1.40936e17i | 0.186598 | + | 0.108427i | ||||
\(613\) | 7.73724e17 | 0.588969 | 0.294485 | − | 0.955656i | \(-0.404852\pi\) | ||||
0.294485 | + | 0.955656i | \(0.404852\pi\) | |||||||
\(614\) | 2.13422e17 | + | 6.45174e16i | 0.160748 | + | 0.0485940i | ||||
\(615\) | −6.80596e17 | − | 6.40460e17i | −0.507226 | − | 0.477314i | ||||
\(616\) | −4.08567e17 | − | 4.94929e17i | −0.301293 | − | 0.364979i | ||||
\(617\) | 1.93689e18i | 1.41335i | 0.707536 | + | 0.706677i | \(0.249807\pi\) | ||||
−0.707536 | + | 0.706677i | \(0.750193\pi\) | |||||||
\(618\) | −7.63315e16 | − | 1.32636e17i | −0.0551161 | − | 0.0957719i | ||||
\(619\) | 1.69210e17i | 0.120903i | 0.998171 | + | 0.0604514i | \(0.0192540\pi\) | ||||
−0.998171 | + | 0.0604514i | \(0.980746\pi\) | |||||||
\(620\) | 2.02196e18 | + | 1.34543e18i | 1.42964 | + | 0.951295i | ||||
\(621\) | −1.55867e18 | + | 1.87214e18i | −1.09058 | + | 1.30991i | ||||
\(622\) | 5.50486e16 | − | 1.82099e17i | 0.0381161 | − | 0.126087i | ||||
\(623\) | −1.87679e18 | −1.28601 | ||||||||
\(624\) | 8.13217e17 | − | 2.17043e18i | 0.551451 | − | 1.47179i | ||||
\(625\) | −1.47793e18 | −0.991821 | ||||||||
\(626\) | −4.14273e17 | + | 1.37040e18i | −0.275140 | + | 0.910156i | ||||
\(627\) | −6.78264e16 | + | 7.20769e16i | −0.0445820 | + | 0.0473758i | ||||
\(628\) | 9.81170e17 | + | 6.52878e17i | 0.638273 | + | 0.424712i | ||||
\(629\) | − | 5.64827e17i | − | 0.363652i | ||||||
\(630\) | −1.45680e18 | − | 3.45438e17i | −0.928296 | − | 0.220118i | ||||
\(631\) | 7.81811e16i | 0.0493073i | 0.999696 | + | 0.0246536i | \(0.00784830\pi\) | ||||
−0.999696 | + | 0.0246536i | \(0.992152\pi\) | |||||||
\(632\) | 9.58947e17 | + | 1.16165e18i | 0.598595 | + | 0.725126i | ||||
\(633\) | 2.78171e17 | − | 2.95603e17i | 0.171865 | − | 0.182635i | ||||
\(634\) | −6.05049e17 | − | 1.82906e17i | −0.370007 | − | 0.111853i | ||||
\(635\) | −9.06640e17 | −0.548789 | ||||||||
\(636\) | 1.85429e17 | − | 4.31510e16i | 0.111098 | − | 0.0258535i | ||||
\(637\) | 2.18298e17 | 0.129462 | ||||||||
\(638\) | 3.65992e17 | + | 1.10639e17i | 0.214851 | + | 0.0649494i | ||||
\(639\) | −9.05919e16 | − | 1.48953e18i | −0.0526422 | − | 0.865554i | ||||
\(640\) | −8.05912e17 | + | 1.53242e18i | −0.463573 | + | 0.881469i | ||||
\(641\) | − | 2.70376e18i | − | 1.53954i | −0.638321 | − | 0.769770i | \(-0.720371\pi\) | ||
0.638321 | − | 0.769770i | \(-0.279629\pi\) | |||||||
\(642\) | 1.46024e18 | − | 8.40356e17i | 0.823086 | − | 0.473681i | ||||
\(643\) | − | 1.54472e18i | − | 0.861940i | −0.902366 | − | 0.430970i | \(-0.858171\pi\) | ||
0.902366 | − | 0.430970i | \(-0.141829\pi\) | |||||||
\(644\) | 1.63746e18 | − | 2.46084e18i | 0.904510 | − | 1.35933i | ||||
\(645\) | −6.71372e17 | − | 6.31781e17i | −0.367135 | − | 0.345484i | ||||
\(646\) | −1.51891e16 | + | 5.02454e16i | −0.00822284 | + | 0.0272010i | ||||
\(647\) | 6.55549e17 | 0.351340 | 0.175670 | − | 0.984449i | \(-0.443791\pi\) | ||||
0.175670 | + | 0.984449i | \(0.443791\pi\) | |||||||
\(648\) | 1.29731e18 | − | 1.36711e18i | 0.688346 | − | 0.725382i | ||||
\(649\) | −1.35242e18 | −0.710431 | ||||||||
\(650\) | 7.09452e15 | − | 2.34685e16i | 0.00368966 | − | 0.0122053i | ||||
\(651\) | 2.33608e18 | + | 2.19832e18i | 1.20285 | + | 1.13191i | ||||
\(652\) | 1.47799e17 | − | 2.22118e17i | 0.0753462 | − | 0.113233i | ||||
\(653\) | − | 8.77808e17i | − | 0.443061i | −0.975153 | − | 0.221531i | \(-0.928895\pi\) | ||
0.975153 | − | 0.221531i | \(-0.0711053\pi\) | |||||||
\(654\) | −5.65549e17 | + | 3.25470e17i | −0.282628 | + | 0.162651i | ||||
\(655\) | − | 2.11915e18i | − | 1.04856i | ||||||
\(656\) | −1.31669e18 | + | 5.51319e17i | −0.645073 | + | 0.270102i | ||||
\(657\) | 4.99560e16 | + | 8.21387e17i | 0.0242333 | + | 0.398449i | ||||
\(658\) | 7.32494e17 | + | 2.21433e17i | 0.351832 | + | 0.106359i | ||||
\(659\) | 9.21545e17 | 0.438290 | 0.219145 | − | 0.975692i | \(-0.429673\pi\) | ||||
0.219145 | + | 0.975692i | \(0.429673\pi\) | |||||||
\(660\) | −1.01764e18 | + | 2.36814e17i | −0.479245 | + | 0.111525i | ||||
\(661\) | 3.84526e18 | 1.79315 | 0.896574 | − | 0.442895i | \(-0.146048\pi\) | ||||
0.896574 | + | 0.442895i | \(0.146048\pi\) | |||||||
\(662\) | 3.01901e18 | + | 9.12645e17i | 1.39408 | + | 0.421429i | ||||
\(663\) | 5.08362e17 | − | 5.40219e17i | 0.232453 | − | 0.247020i | ||||
\(664\) | 1.02864e18 | − | 8.49144e17i | 0.465767 | − | 0.384494i | ||||
\(665\) | − | 2.80157e17i | − | 0.125621i | ||||||
\(666\) | −3.69244e18 | − | 8.75554e17i | −1.63957 | − | 0.388777i | ||||
\(667\) | 1.76099e18i | 0.774353i | ||||||||
\(668\) | −2.61713e18 | − | 1.74146e18i | −1.13967 | − | 0.758342i | ||||
\(669\) | −2.36353e18 | + | 2.51165e18i | −1.01928 | + | 1.08315i | ||||
\(670\) | 1.04206e18 | − | 3.44712e18i | 0.445048 | − | 1.47221i | ||||
\(671\) | 1.18686e18 | 0.502000 | ||||||||
\(672\) | −1.38770e18 | + | 1.81766e18i | −0.581292 | + | 0.761399i | ||||
\(673\) | −4.22782e17 | −0.175396 | −0.0876978 | − | 0.996147i | \(-0.527951\pi\) | ||||
−0.0876978 | + | 0.996147i | \(0.527951\pi\) | |||||||
\(674\) | −7.80022e17 | + | 2.58030e18i | −0.320492 | + | 1.06018i | ||||
\(675\) | 1.27558e16 | − | 1.53212e16i | 0.00519078 | − | 0.00623472i | ||||
\(676\) | −3.03705e18 | − | 2.02087e18i | −1.22405 | − | 0.814490i | ||||
\(677\) | − | 2.49241e18i | − | 0.994933i | −0.867483 | − | 0.497466i | \(-0.834264\pi\) | ||
0.867483 | − | 0.497466i | \(-0.165736\pi\) | |||||||
\(678\) | 1.82482e18 | + | 3.17088e18i | 0.721486 | + | 1.25368i | ||||
\(679\) | − | 1.14475e18i | − | 0.448287i | ||||||
\(680\) | −4.27340e17 | + | 3.52771e17i | −0.165754 | + | 0.136831i | ||||
\(681\) | 2.90406e18 | + | 2.73281e18i | 1.11571 | + | 1.04991i | ||||
\(682\) | 2.14280e18 | + | 6.47768e17i | 0.815424 | + | 0.246502i | ||||
\(683\) | −2.65244e18 | −0.999797 | −0.499898 | − | 0.866084i | \(-0.666629\pi\) | ||||
−0.499898 | + | 0.866084i | \(0.666629\pi\) | |||||||
\(684\) | 3.04923e17 | + | 1.77182e17i | 0.113848 | + | 0.0661540i | ||||
\(685\) | 1.58885e18 | 0.587616 | ||||||||
\(686\) | −2.70911e18 | − | 8.18964e17i | −0.992477 | − | 0.300025i | ||||
\(687\) | 2.11975e18 | + | 1.99474e18i | 0.769247 | + | 0.723883i | ||||
\(688\) | −1.29885e18 | + | 5.43847e17i | −0.466910 | + | 0.195502i | ||||
\(689\) | − | 5.03449e17i | − | 0.179279i | ||||||
\(690\) | −2.40027e18 | − | 4.17081e18i | −0.846723 | − | 1.47130i | ||||
\(691\) | 4.17082e18i | 1.45752i | 0.684770 | + | 0.728759i | \(0.259902\pi\) | ||||
−0.684770 | + | 0.728759i | \(0.740098\pi\) | |||||||
\(692\) | −2.28567e18 | + | 3.43500e18i | −0.791270 | + | 1.18915i | ||||
\(693\) | −1.37745e18 | + | 8.37752e16i | −0.472400 | + | 0.0287309i | ||||
\(694\) | 1.05942e18 | − | 3.50455e18i | 0.359942 | − | 1.19068i | ||||
\(695\) | 1.11065e18 | 0.373831 | ||||||||
\(696\) | 8.83926e16 | − | 1.35954e18i | 0.0294751 | − | 0.453349i | ||||
\(697\) | −4.56854e17 | −0.150926 | ||||||||
\(698\) | −3.58614e16 | + | 1.18629e17i | −0.0117373 | + | 0.0388266i | ||||
\(699\) | −2.62482e18 | + | 2.78931e18i | −0.851135 | + | 0.904473i | ||||
\(700\) | −1.34007e16 | + | 2.01390e16i | −0.00430516 | + | 0.00646996i | ||||
\(701\) | − | 5.87570e18i | − | 1.87022i | −0.354357 | − | 0.935110i | \(-0.615300\pi\) | ||
0.354357 | − | 0.935110i | \(-0.384700\pi\) | |||||||
\(702\) | −2.74354e18 | − | 4.16071e18i | −0.865208 | − | 1.31213i | ||||
\(703\) | − | 7.10092e17i | − | 0.221873i | ||||||
\(704\) | −3.02328e17 | + | 1.56698e18i | −0.0935956 | + | 0.485112i | ||||
\(705\) | 8.53763e17 | − | 9.07265e17i | 0.261883 | − | 0.278295i | ||||
\(706\) | 3.10888e18 | + | 9.39812e17i | 0.944872 | + | 0.285634i | ||||
\(707\) | −1.45597e18 | −0.438457 | ||||||||
\(708\) | 1.09225e18 | + | 4.69362e18i | 0.325916 | + | 1.40053i | ||||
\(709\) | −1.18393e18 | −0.350047 | −0.175024 | − | 0.984564i | \(-0.556000\pi\) | ||||
−0.175024 | + | 0.984564i | \(0.556000\pi\) | |||||||
\(710\) | 2.82174e18 | + | 8.53011e17i | 0.826681 | + | 0.249905i | ||||
\(711\) | 3.23301e18 | − | 1.96629e17i | 0.938544 | − | 0.0570814i | ||||
\(712\) | 2.97102e18 | + | 3.59903e18i | 0.854646 | + | 1.03530i | ||||
\(713\) | 1.03102e19i | 2.93890i | ||||||||
\(714\) | −6.34350e17 | + | 3.65064e17i | −0.179180 | + | 0.103117i | ||||
\(715\) | 2.76293e18i | 0.773359i | ||||||||
\(716\) | −3.17595e18 | − | 2.11330e18i | −0.880925 | − | 0.586174i | ||||
\(717\) | −1.00075e18 | − | 9.41734e17i | −0.275075 | − | 0.258853i | ||||
\(718\) | −4.31737e17 | + | 1.42817e18i | −0.117601 | + | 0.389021i | ||||
\(719\) | 6.28015e18 | 1.69524 | 0.847622 | − | 0.530600i | \(-0.178033\pi\) | ||||
0.847622 | + | 0.530600i | \(0.178033\pi\) | |||||||
\(720\) | 1.64374e18 | + | 3.34048e18i | 0.439715 | + | 0.893610i | ||||
\(721\) | 3.99274e17 | 0.105850 | ||||||||
\(722\) | 1.08229e18 | − | 3.58020e18i | 0.284350 | − | 0.940622i | ||||
\(723\) | −3.25119e18 | − | 3.05946e18i | −0.846532 | − | 0.796611i | ||||
\(724\) | −1.20499e18 | − | 8.01807e17i | −0.310944 | − | 0.206904i | ||||
\(725\) | − | 1.44116e16i | − | 0.00368565i | ||||||
\(726\) | 2.58485e18 | − | 1.48757e18i | 0.655160 | − | 0.377041i | ||||
\(727\) | 1.44096e18i | 0.361976i | 0.983485 | + | 0.180988i | \(0.0579294\pi\) | ||||
−0.983485 | + | 0.180988i | \(0.942071\pi\) | |||||||
\(728\) | 3.84979e18 | + | 4.66355e18i | 0.958479 | + | 1.16108i | ||||
\(729\) | −7.34427e17 | − | 3.98545e18i | −0.181226 | − | 0.983442i | ||||
\(730\) | −1.55602e18 | − | 4.70384e17i | −0.380554 | − | 0.115041i | ||||
\(731\) | −4.50663e17 | −0.109242 | ||||||||
\(732\) | −9.58539e17 | − | 4.11904e18i | −0.230297 | − | 0.989633i | ||||
\(733\) | 2.39471e18 | 0.570265 | 0.285133 | − | 0.958488i | \(-0.407962\pi\) | ||||
0.285133 | + | 0.958488i | \(0.407962\pi\) | |||||||
\(734\) | 1.43094e18 | + | 4.32573e17i | 0.337752 | + | 0.102102i | ||||
\(735\) | −2.40301e17 | + | 2.55360e17i | −0.0562196 | + | 0.0597427i | ||||
\(736\) | −7.31122e18 | + | 7.55514e17i | −1.69545 | + | 0.175201i | ||||
\(737\) | − | 3.31928e18i | − | 0.762966i | ||||||
\(738\) | −7.08182e17 | + | 2.98659e18i | −0.161354 | + | 0.680470i | ||||
\(739\) | − | 5.19008e18i | − | 1.17215i | −0.810255 | − | 0.586077i | \(-0.800671\pi\) | ||
0.810255 | − | 0.586077i | \(-0.199329\pi\) | |||||||
\(740\) | 4.15275e18 | − | 6.24092e18i | 0.929672 | − | 1.39715i | ||||
\(741\) | 6.39105e17 | − | 6.79155e17i | 0.141825 | − | 0.150713i | ||||
\(742\) | −1.43736e17 | + | 4.75476e17i | −0.0316184 | + | 0.104593i | ||||
\(743\) | −6.27546e18 | −1.36842 | −0.684208 | − | 0.729287i | \(-0.739852\pi\) | ||||
−0.684208 | + | 0.729287i | \(0.739852\pi\) | |||||||
\(744\) | 5.17518e17 | − | 7.95981e18i | 0.111867 | − | 1.72059i | ||||
\(745\) | −1.34661e18 | −0.288553 | ||||||||
\(746\) | 1.13836e17 | − | 3.76566e17i | 0.0241811 | − | 0.0799906i | ||||
\(747\) | −1.74114e17 | − | 2.86282e18i | −0.0366649 | − | 0.602852i | ||||
\(748\) | −2.82947e17 | + | 4.25224e17i | −0.0590670 | + | 0.0887682i | ||||
\(749\) | 4.39573e18i | 0.909703i | ||||||||
\(750\) | 2.44095e18 | + | 4.24149e18i | 0.500795 | + | 0.870201i | ||||
\(751\) | − | 6.00920e18i | − | 1.22224i | −0.791537 | − | 0.611121i | \(-0.790719\pi\) | ||
0.791537 | − | 0.611121i | \(-0.209281\pi\) | |||||||
\(752\) | −7.34933e17 | − | 1.75521e18i | −0.148194 | − | 0.353926i | ||||
\(753\) | 8.31764e17 | + | 7.82714e17i | 0.166277 | + | 0.156472i | ||||
\(754\) | −3.44862e18 | − | 1.04252e18i | −0.683489 | − | 0.206618i | ||||
\(755\) | −4.51137e18 | −0.886447 | ||||||||
\(756\) | 1.40321e18 | + | 4.71282e18i | 0.273357 | + | 0.918099i | ||||
\(757\) | −3.70513e18 | −0.715616 | −0.357808 | − | 0.933795i | \(-0.616476\pi\) | ||||
−0.357808 | + | 0.933795i | \(0.616476\pi\) | |||||||
\(758\) | −3.32092e17 | − | 1.00391e17i | −0.0635929 | − | 0.0192241i | ||||
\(759\) | −3.23015e18 | − | 3.03966e18i | −0.613269 | − | 0.577104i | ||||
\(760\) | −5.37245e17 | + | 4.43499e17i | −0.101131 | + | 0.0834842i | ||||
\(761\) | 1.12740e18i | 0.210415i | 0.994450 | + | 0.105207i | \(0.0335507\pi\) | ||||
−0.994450 | + | 0.105207i | \(0.966449\pi\) | |||||||
\(762\) | 1.48526e18 | + | 2.58084e18i | 0.274849 | + | 0.477588i | ||||
\(763\) | − | 1.70247e18i | − | 0.312370i | ||||||
\(764\) | −1.09424e18 | − | 7.28113e17i | −0.199069 | − | 0.132462i | ||||
\(765\) | 7.23346e16 | + | 1.18934e18i | 0.0130481 | + | 0.214539i | ||||
\(766\) | −8.89868e17 | + | 2.94366e18i | −0.159162 | + | 0.526503i | ||||
\(767\) | 1.27434e19 | 2.26004 | ||||||||
\(768\) | 5.68242e18 | − | 2.16296e17i | 0.999276 | − | 0.0380365i | ||||
\(769\) | −6.01394e18 | −1.04867 | −0.524334 | − | 0.851513i | \(-0.675686\pi\) | ||||
−0.524334 | + | 0.851513i | \(0.675686\pi\) | |||||||
\(770\) | 7.88826e17 | − | 2.60942e18i | 0.136393 | − | 0.451184i | ||||
\(771\) | −6.90970e17 | + | 7.34271e17i | −0.118469 | + | 0.125893i | ||||
\(772\) | 1.08904e18 | + | 7.24658e17i | 0.185154 | + | 0.123203i | ||||
\(773\) | 1.76652e18i | 0.297818i | 0.988851 | + | 0.148909i | \(0.0475762\pi\) | ||||
−0.988851 | + | 0.148909i | \(0.952424\pi\) | |||||||
\(774\) | −6.98585e17 | + | 2.94611e18i | −0.116789 | + | 0.492530i | ||||
\(775\) | − | 8.43765e16i | − | 0.0139881i | ||||||
\(776\) | −2.19523e18 | + | 1.81218e18i | −0.360894 | + | 0.297920i | ||||
\(777\) | 6.78524e18 | − | 7.21045e18i | 1.10619 | − | 1.17551i | ||||
\(778\) | 1.12644e19 | + | 3.40522e18i | 1.82113 | + | 0.550526i | ||||
\(779\) | −5.74350e17 | −0.0920839 | ||||||||
\(780\) | 9.58884e18 | − | 2.23141e18i | 1.52458 | − | 0.354785i | ||||
\(781\) | 2.71710e18 | 0.428424 | ||||||||
\(782\) | −2.25176e18 | − | 6.80707e17i | −0.352110 | − | 0.106443i | ||||
\(783\) | −2.25139e18 | − | 1.87442e18i | −0.349140 | − | 0.290680i | ||||
\(784\) | 2.06855e17 | + | 4.94022e17i | 0.0318135 | + | 0.0759788i | ||||
\(785\) | 5.00597e18i | 0.763547i | ||||||||
\(786\) | −6.03237e18 | + | 3.47159e18i | −0.912518 | + | 0.525148i | ||||
\(787\) | 1.09902e19i | 1.64881i | 0.565999 | + | 0.824406i | \(0.308491\pi\) | ||||
−0.565999 | + | 0.824406i | \(0.691509\pi\) | |||||||
\(788\) | 3.74884e18 | − | 5.63391e18i | 0.557798 | − | 0.838281i | ||||
\(789\) | −4.75742e18 | − | 4.47687e18i | −0.702055 | − | 0.660654i | ||||
\(790\) | −1.85145e18 | + | 6.12456e18i | −0.270979 | + | 0.896393i | ||||
\(791\) | −9.54528e18 | −1.38561 | ||||||||
\(792\) | 2.34121e18 | + | 2.50886e18i | 0.337075 | + | 0.361212i | ||||
\(793\) | −1.11834e19 | −1.59697 | ||||||||
\(794\) | 7.37201e17 | − | 2.43864e18i | 0.104413 | − | 0.345394i | ||||
\(795\) | 5.88923e17 | + | 5.54193e17i | 0.0827317 | + | 0.0778529i | ||||
\(796\) | 2.82837e18 | − | 4.25058e18i | 0.394095 | − | 0.592261i | ||||
\(797\) | 8.33450e18i | 1.15186i | 0.817498 | + | 0.575931i | \(0.195360\pi\) | ||||
−0.817498 | + | 0.575931i | \(0.804640\pi\) | |||||||
\(798\) | −7.97495e17 | + | 4.58953e17i | −0.109322 | + | 0.0629144i | ||||
\(799\) | − | 6.09007e17i | − | 0.0828073i | ||||||
\(800\) | 5.98335e16 | − | 6.18297e15i | 0.00806973 | − | 0.000833896i | ||||
\(801\) | 1.00166e19 | − | 6.09198e17i | 1.34001 | − | 0.0814981i | ||||
\(802\) | −2.43130e18 | − | 7.34981e17i | −0.322630 | − | 0.0975310i | ||||
\(803\) | −1.49832e18 | −0.197221 | ||||||||
\(804\) | −1.15197e19 | + | 2.68073e18i | −1.50410 | + | 0.350017i | ||||
\(805\) | 1.25553e19 | 1.62613 | ||||||||
\(806\) | −2.01909e19 | − | 6.10369e18i | −2.59404 | − | 0.784178i | ||||
\(807\) | −2.47115e18 | + | 2.62601e18i | −0.314935 | + | 0.334671i | ||||
\(808\) | 2.30486e18 | + | 2.79205e18i | 0.291387 | + | 0.352980i | ||||
\(809\) | − | 1.47952e19i | − | 1.85547i | −0.373234 | − | 0.927737i | \(-0.621751\pi\) | ||
0.373234 | − | 0.927737i | \(-0.378249\pi\) | |||||||
\(810\) | 7.88718e18 | + | 1.37076e18i | 0.981227 | + | 0.170533i | ||||
\(811\) | 1.52874e19i | 1.88668i | 0.331830 | + | 0.943339i | \(0.392334\pi\) | ||||
−0.331830 | + | 0.943339i | \(0.607666\pi\) | |||||||
\(812\) | 2.95936e18 | + | 1.96918e18i | 0.362313 | + | 0.241086i | ||||
\(813\) | −6.34851e18 | + | 6.74635e18i | −0.771051 | + | 0.819371i | ||||
\(814\) | 1.99937e18 | − | 6.61389e18i | 0.240899 | − | 0.796889i | ||||
\(815\) | 1.13325e18 | 0.135458 | ||||||||
\(816\) | 1.70427e18 | + | 6.38555e17i | 0.202093 | + | 0.0757203i | ||||
\(817\) | −5.66567e17 | −0.0666511 | ||||||||
\(818\) | −1.75622e18 | + | 5.80955e18i | −0.204967 | + | 0.678025i | ||||
\(819\) | 1.29792e19 | − | 7.89385e17i | 1.50281 | − | 0.0913995i | ||||
\(820\) | −5.04790e18 | − | 3.35891e18i | −0.579856 | − | 0.385841i | ||||
\(821\) | 1.31539e19i | 1.49907i | 0.661963 | + | 0.749537i | \(0.269724\pi\) | ||||
−0.661963 | + | 0.749537i | \(0.730276\pi\) | |||||||
\(822\) | −2.60285e18 | − | 4.52281e18i | −0.294295 | − | 0.511378i | ||||
\(823\) | − | 1.12185e19i | − | 1.25845i | −0.777221 | − | 0.629227i | \(-0.783371\pi\) | ||
0.777221 | − | 0.629227i | \(-0.216629\pi\) | |||||||
\(824\) | −6.32066e17 | − | 7.65671e17i | −0.0703453 | − | 0.0852148i | ||||
\(825\) | 2.64349e16 | + | 2.48760e16i | 0.00291895 | + | 0.00274681i | ||||
\(826\) | −1.20354e19 | − | 3.63828e18i | −1.31853 | − | 0.398590i | ||||
\(827\) | 2.34762e18 | 0.255177 | 0.127589 | − | 0.991827i | \(-0.459276\pi\) | ||||
0.127589 | + | 0.991827i | \(0.459276\pi\) | |||||||
\(828\) | −7.94049e18 | + | 1.36652e19i | −0.856348 | + | 1.47374i | ||||
\(829\) | 7.94710e18 | 0.850363 | 0.425181 | − | 0.905108i | \(-0.360210\pi\) | ||||
0.425181 | + | 0.905108i | \(0.360210\pi\) | |||||||
\(830\) | 5.42328e18 | + | 1.63945e18i | 0.575777 | + | 0.174057i | ||||
\(831\) | 5.11041e18 | + | 4.80904e18i | 0.538331 | + | 0.506585i | ||||
\(832\) | 2.84873e18 | − | 1.47651e19i | 0.297748 | − | 1.54325i | ||||
\(833\) | 1.71412e17i | 0.0177766i | ||||||||
\(834\) | −1.81947e18 | − | 3.16158e18i | −0.187225 | − | 0.325330i | ||||
\(835\) | − | 1.33527e19i | − | 1.36335i | ||||||
\(836\) | −3.55717e17 | + | 5.34585e17i | −0.0360382 | + | 0.0541597i | ||||
\(837\) | −1.31814e19 | − | 1.09743e19i | −1.32509 | − | 1.10322i | ||||
\(838\) | −2.13486e18 | + | 7.06207e18i | −0.212953 | + | 0.704444i | ||||
\(839\) | 9.84278e18 | 0.974238 | 0.487119 | − | 0.873336i | \(-0.338048\pi\) | ||||
0.487119 | + | 0.873336i | \(0.338048\pi\) | |||||||
\(840\) | −9.69314e18 | − | 6.30213e17i | −0.952026 | − | 0.0618973i | ||||
\(841\) | 8.14290e18 | 0.793606 | ||||||||
\(842\) | 3.97098e17 | − | 1.31359e18i | 0.0384033 | − | 0.127037i | ||||
\(843\) | −1.17644e19 | + | 1.25016e19i | −1.12899 | + | 1.19974i | ||||
\(844\) | 1.45887e18 | − | 2.19245e18i | 0.138929 | − | 0.208787i | ||||
\(845\) | − | 1.54952e19i | − | 1.46429i | ||||||
\(846\) | −3.98126e18 | − | 9.44039e17i | −0.373347 | − | 0.0885284i | ||||
\(847\) | 7.78116e18i | 0.724106i | ||||||||
\(848\) | 1.13934e18 | − | 4.77059e17i | 0.105215 | − | 0.0440554i | ||||
\(849\) | 1.00484e18 | − | 1.06781e18i | 0.0920865 | − | 0.0978572i | ||||
\(850\) | 1.84280e16 | + | 5.57076e15i | 0.00167592 | + | 0.000506631i | ||||
\(851\) | 3.18230e19 | 2.87210 | ||||||||
\(852\) | −2.19440e18 | − | 9.42977e18i | −0.196543 | − | 0.844586i | ||||
\(853\) | 1.17852e19 | 1.04754 | 0.523769 | − | 0.851860i | \(-0.324525\pi\) | ||||
0.523769 | + | 0.851860i | \(0.324525\pi\) | |||||||
\(854\) | 1.05620e19 | + | 3.19289e18i | 0.931688 | + | 0.281649i | ||||
\(855\) | 9.09379e16 | + | 1.49522e18i | 0.00796096 | + | 0.130896i | ||||
\(856\) | 8.42950e18 | − | 6.95860e18i | 0.732356 | − | 0.604564i | ||||
\(857\) | 6.53005e18i | 0.563042i | 0.959555 | + | 0.281521i | \(0.0908389\pi\) | ||||
−0.959555 | + | 0.281521i | \(0.909161\pi\) | |||||||
\(858\) | 7.86496e18 | − | 4.52624e18i | 0.673022 | − | 0.387320i | ||||
\(859\) | − | 1.58512e19i | − | 1.34619i | −0.739555 | − | 0.673096i | \(-0.764964\pi\) | ||
0.739555 | − | 0.673096i | \(-0.235036\pi\) | |||||||
\(860\) | −4.97949e18 | − | 3.31339e18i | −0.419705 | − | 0.279275i | ||||
\(861\) | −5.83209e18 | − | 5.48816e18i | −0.487870 | − | 0.459099i | ||||
\(862\) | 5.14097e17 | − | 1.70062e18i | 0.0426823 | − | 0.141192i | ||||
\(863\) | −1.59290e19 | −1.31256 | −0.656280 | − | 0.754518i | \(-0.727871\pi\) | ||||
−0.656280 | + | 0.754518i | \(0.727871\pi\) | |||||||
\(864\) | 6.81625e18 | − | 1.01514e19i | 0.557450 | − | 0.830211i | ||||
\(865\) | −1.75255e19 | −1.42255 | ||||||||
\(866\) | −4.80263e17 | + | 1.58870e18i | −0.0386912 | + | 0.127990i | ||||
\(867\) | −8.68347e18 | − | 8.17139e18i | −0.694335 | − | 0.653389i | ||||
\(868\) | 1.73264e19 | + | 1.15291e19i | 1.37509 | + | 0.914993i | ||||
\(869\) | 5.89743e18i | 0.464552i | ||||||||
\(870\) | 5.01573e18 | − | 2.88652e18i | 0.392156 | − | 0.225683i | ||||
\(871\) | 3.12765e19i | 2.42717i | ||||||||
\(872\) | −3.26475e18 | + | 2.69507e18i | −0.251474 | + | 0.207593i | ||||
\(873\) | 3.71581e17 | + | 6.10961e18i | 0.0284093 | + | 0.467112i | ||||
\(874\) | −2.83088e18 | − | 8.55774e17i | −0.214831 | − | 0.0649434i | ||||
\(875\) | −1.27681e19 | −0.961776 | ||||||||
\(876\) | 1.21008e18 | + | 5.19995e18i | 0.0904766 | + | 0.388797i | ||||
\(877\) | −1.47065e18 | −0.109147 | −0.0545736 | − | 0.998510i | \(-0.517380\pi\) | ||||
−0.0545736 | + | 0.998510i | \(0.517380\pi\) | |||||||
\(878\) | 1.35639e19 | + | 4.10036e18i | 0.999241 | + | 0.302070i | ||||
\(879\) | 2.81221e18 | − | 2.98844e18i | 0.205646 | − | 0.218533i | ||||
\(880\) | −6.25270e18 | + | 2.61811e18i | −0.453869 | + | 0.190042i | ||||
\(881\) | − | 1.29169e19i | − | 0.930711i | −0.885124 | − | 0.465356i | \(-0.845926\pi\) | ||
0.885124 | − | 0.465356i | \(-0.154074\pi\) | |||||||
\(882\) | 1.12057e18 | + | 2.65710e17i | 0.0801479 | + | 0.0190047i | ||||
\(883\) | − | 1.71359e19i | − | 1.21664i | −0.793691 | − | 0.608321i | \(-0.791843\pi\) | ||
0.793691 | − | 0.608321i | \(-0.208157\pi\) | |||||||
\(884\) | 2.66611e18 | − | 4.00674e18i | 0.187905 | − | 0.282391i | ||||
\(885\) | −1.40279e19 | + | 1.49070e19i | −0.981433 | + | 1.04294i | ||||
\(886\) | 6.03121e18 | − | 1.99511e19i | 0.418876 | − | 1.38563i | ||||
\(887\) | −1.35972e19 | −0.937445 | −0.468722 | − | 0.883346i | \(-0.655286\pi\) | ||||
−0.468722 | + | 0.883346i | \(0.655286\pi\) | |||||||
\(888\) | −2.45684e19 | − | 1.59735e18i | −1.68149 | − | 0.109324i | ||||
\(889\) | −7.76908e18 | −0.527847 | ||||||||
\(890\) | −5.73620e18 | + | 1.89752e19i | −0.386891 | + | 1.27983i | ||||
\(891\) | 7.32437e18 | − | 8.94230e17i | 0.490416 | − | 0.0598748i | ||||
\(892\) | −1.23956e19 | + | 1.86286e19i | −0.823940 | + | 1.23825i | ||||
\(893\) | − | 7.65635e17i | − | 0.0505228i | ||||||
\(894\) | 2.20601e18 | + | 3.83325e18i | 0.144515 | + | 0.251115i | ||||
\(895\) | − | 1.62038e19i | − | 1.05382i | ||||||
\(896\) | −6.90593e18 | + | 1.31314e19i | −0.445882 | + | 0.847832i | ||||
\(897\) | 3.04366e19 | + | 2.86417e19i | 1.95094 | + | 1.83589i | ||||
\(898\) | 2.00626e18 | + | 6.06490e17i | 0.127670 | + | 0.0385947i | ||||
\(899\) | −1.23988e19 | −0.783327 | ||||||||
\(900\) | 6.49833e16 | − | 1.11833e17i | 0.00407592 | − | 0.00701448i | ||||
\(901\) | 3.95318e17 | 0.0246170 | ||||||||
\(902\) | −5.34957e18 | − | 1.61717e18i | −0.330732 | − | 0.0999801i | ||||
\(903\) | −5.75305e18 | − | 5.41379e18i | −0.353125 | − | 0.332300i | ||||
\(904\) | 1.51105e19 | + | 1.83046e19i | 0.920841 | + | 1.11549i | ||||
\(905\) | − | 6.14790e18i | − | 0.371973i | ||||||
\(906\) | 7.39052e18 | + | 1.28421e19i | 0.443958 | + | 0.771438i | ||||
\(907\) | − | 8.03995e18i | − | 0.479519i | −0.970832 | − | 0.239760i | \(-0.922931\pi\) | ||
0.970832 | − | 0.239760i | \(-0.0770686\pi\) | |||||||
\(908\) | 2.15391e19 | + | 1.43323e19i | 1.27547 | + | 0.848705i | ||||
\(909\) | 7.77063e18 | − | 4.72603e17i | 0.456869 | − | 0.0277863i | ||||
\(910\) | −7.43283e18 | + | 2.45876e19i | −0.433896 | + | 1.43532i | ||||
\(911\) | −8.21326e18 | −0.476043 | −0.238021 | − | 0.971260i | \(-0.576499\pi\) | ||||
−0.238021 | + | 0.971260i | \(0.576499\pi\) | |||||||
\(912\) | 2.14258e18 | + | 8.02782e17i | 0.123302 | + | 0.0461988i | ||||
\(913\) | 5.22216e18 | 0.298394 | ||||||||
\(914\) | 7.33100e18 | − | 2.42508e19i | 0.415923 | − | 1.37586i | ||||
\(915\) | 1.23106e19 | − | 1.30821e19i | 0.693494 | − | 0.736953i | ||||
\(916\) | 1.57219e19 | + | 1.04615e19i | 0.879397 | + | 0.585157i | ||||
\(917\) | − | 1.81592e19i | − | 1.00855i | ||||||
\(918\) | 3.26708e18 | − | 2.15429e18i | 0.180170 | − | 0.118803i | ||||
\(919\) | 3.12387e19i | 1.71057i | 0.518155 | + | 0.855287i | \(0.326619\pi\) | ||||
−0.518155 | + | 0.855287i | \(0.673381\pi\) | |||||||
\(920\) | −1.98756e19 | − | 2.40768e19i | −1.08068 | − | 1.30912i | ||||
\(921\) | 2.13161e18 | − | 2.26519e18i | 0.115085 | − | 0.122297i | ||||
\(922\) | −2.98807e19 | − | 9.03293e18i | −1.60192 | − | 0.484259i | ||||
\(923\) | −2.56023e19 | −1.36291 | ||||||||
\(924\) | −8.72022e18 | + | 2.02928e18i | −0.460956 | + | 0.107269i | ||||
\(925\) | −2.60433e17 | −0.0136702 | ||||||||
\(926\) | 2.24055e19 | + | 6.77317e18i | 1.16784 | + | 0.353037i | ||||
\(927\) | −2.13096e18 | + | 1.29603e17i | −0.110295 | + | 0.00670805i | ||||
\(928\) | −9.08566e17 | − | 8.79233e18i | −0.0466976 | − | 0.451900i | ||||
\(929\) | 1.41463e19i | 0.722004i | 0.932565 | + | 0.361002i | \(0.117565\pi\) | ||||
−0.932565 | + | 0.361002i | \(0.882435\pi\) | |||||||
\(930\) | 2.93660e19 | − | 1.68999e19i | 1.48835 | − | 0.856536i | ||||
\(931\) | 2.15496e17i | 0.0108459i | ||||||||
\(932\) | −1.37659e19 | + | 2.06880e19i | −0.688022 | + | 1.03399i | ||||
\(933\) | −1.93274e18 | − | 1.81876e18i | −0.0959274 | − | 0.0902705i | ||||
\(934\) | 5.72734e18 | − | 1.89459e19i | 0.282292 | − | 0.933816i | ||||
\(935\) | −2.16951e18 | −0.106191 | ||||||||
\(936\) | −2.20604e19 | − | 2.36401e19i | −1.07231 | − | 1.14910i | ||||
\(937\) | −1.56573e19 | −0.755807 | −0.377903 | − | 0.925845i | \(-0.623355\pi\) | ||||
−0.377903 | + | 0.925845i | \(0.623355\pi\) | |||||||
\(938\) | 8.92952e18 | − | 2.95387e19i | 0.428065 | − | 1.41603i | ||||
\(939\) | 1.45450e19 | + | 1.36873e19i | 0.692448 | + | 0.651614i | ||||
\(940\) | 4.47757e18 | − | 6.72907e18i | 0.211696 | − | 0.318144i | ||||
\(941\) | − | 1.26838e19i | − | 0.595546i | −0.954637 | − | 0.297773i | \(-0.903756\pi\) | ||
0.954637 | − | 0.297773i | \(-0.0962439\pi\) | |||||||
\(942\) | 1.42500e19 | − | 8.20079e18i | 0.664484 | − | 0.382406i | ||||
\(943\) | − | 2.57397e19i | − | 1.19200i | ||||||
\(944\) | 1.20754e19 | + | 2.88392e19i | 0.555373 | + | 1.32637i | ||||
\(945\) | −1.33641e19 | + | 1.60518e19i | −0.610425 | + | 0.733190i | ||||
\(946\) | −5.27707e18 | − | 1.59526e18i | −0.239387 | − | 0.0723666i | ||||
\(947\) | 4.18947e19 | 1.88749 | 0.943745 | − | 0.330674i | \(-0.107276\pi\) | ||||
0.943745 | + | 0.330674i | \(0.107276\pi\) | |||||||
\(948\) | 2.04672e19 | − | 4.76291e18i | 0.915808 | − | 0.213117i | ||||
\(949\) | 1.41181e19 | 0.627403 | ||||||||
\(950\) | 2.31673e16 | + | 7.00348e15i | 0.00102252 | + | 0.000309108i | ||||
\(951\) | −6.04308e18 | + | 6.42178e18i | −0.264902 | + | 0.281502i | ||||
\(952\) | −3.66191e18 | + | 3.02293e18i | −0.159429 | + | 0.131610i | ||||
\(953\) | − | 3.26523e19i | − | 1.41192i | −0.708253 | − | 0.705959i | \(-0.750516\pi\) | ||
0.708253 | − | 0.705959i | \(-0.249484\pi\) | |||||||
\(954\) | 6.12793e17 | − | 2.58431e18i | 0.0263178 | − | 0.110989i | ||||
\(955\) | − | 5.58284e18i | − | 0.238141i | ||||||
\(956\) | −7.42244e18 | − | 4.93894e18i | −0.314463 | − | 0.209246i | ||||
\(957\) | 3.65544e18 | − | 3.88451e18i | 0.153820 | − | 0.163459i | ||||
\(958\) | −7.29651e18 | + | 2.41367e19i | −0.304958 | + | 1.00879i | ||||
\(959\) | 1.36150e19 | 0.565192 | ||||||||
\(960\) | 1.41361e19 | + | 1.95857e19i | 0.582861 | + | 0.807564i | ||||
\(961\) | −4.81748e19 | −1.97296 | ||||||||
\(962\) | −1.88394e19 | + | 6.23204e19i | −0.766354 | + | 2.53508i | ||||
\(963\) | −1.42684e18 | − | 2.34604e19i | −0.0576506 | − | 0.947903i | ||||
\(964\) | −2.41137e19 | − | 1.60454e19i | −0.967749 | − | 0.643947i | ||||
\(965\) | 5.55635e18i | 0.221494i | ||||||||
\(966\) | −2.05682e19 | − | 3.57400e19i | −0.814412 | − | 1.41515i | ||||
\(967\) | 3.94723e19i | 1.55246i | 0.630449 | + | 0.776231i | \(0.282871\pi\) | ||||
−0.630449 | + | 0.776231i | \(0.717129\pi\) | |||||||
\(968\) | 1.49216e19 | − | 1.23179e19i | 0.582941 | − | 0.481222i | ||||
\(969\) | 5.33287e17 | + | 5.01838e17i | 0.0206946 | + | 0.0194742i | ||||
\(970\) | −1.15739e19 | − | 3.49880e18i | −0.446134 | − | 0.134866i | ||||
\(971\) | 3.57946e19 | 1.37054 | 0.685271 | − | 0.728288i | \(-0.259684\pi\) | ||||
0.685271 | + | 0.728288i | \(0.259684\pi\) | |||||||
\(972\) | −9.01879e18 | − | 2.46972e19i | −0.343019 | − | 0.939329i | ||||
\(973\) | 9.51726e18 | 0.359566 | ||||||||
\(974\) | −2.96309e19 | − | 8.95740e18i | −1.11202 | − | 0.336162i | ||||
\(975\) | −2.49087e17 | − | 2.34398e17i | −0.00928582 | − | 0.00873823i | ||||
\(976\) | −1.05972e19 | − | 2.53088e19i | −0.392434 | − | 0.937233i | ||||
\(977\) | 2.54739e19i | 0.937087i | 0.883440 | + | 0.468544i | \(0.155221\pi\) | ||||
−0.883440 | + | 0.468544i | \(0.844779\pi\) | |||||||
\(978\) | −1.85650e18 | − | 3.22592e18i | −0.0678410 | − | 0.117883i | ||||
\(979\) | 1.82715e19i | 0.663265i | ||||||||
\(980\) | −1.26026e18 | + | 1.89397e18i | −0.0454456 | + | 0.0682974i | ||||
\(981\) | 5.52614e17 | + | 9.08620e18i | 0.0197958 | + | 0.325487i | ||||
\(982\) | 3.46946e18 | − | 1.14769e19i | 0.123463 | − | 0.408413i | ||||
\(983\) | −3.21919e19 | −1.13802 | −0.569009 | − | 0.822331i | \(-0.692673\pi\) | ||||
−0.569009 | + | 0.822331i | \(0.692673\pi\) | |||||||
\(984\) | −1.29200e18 | + | 1.98719e19i | −0.0453727 | + | 0.697865i | ||||
\(985\) | 2.87445e19 | 1.00281 | ||||||||
\(986\) | 8.18605e17 | − | 2.70793e18i | 0.0283710 | − | 0.0938506i | ||||
\(987\) | 7.31597e18 | − | 7.77444e18i | 0.251890 | − | 0.267675i | ||||
\(988\) | 3.35180e18 | − | 5.03721e18i | 0.114646 | − | 0.172294i | ||||
\(989\) | − | 2.53909e19i | − | 0.862783i | ||||||
\(990\) | −3.36302e18 | + | 1.41827e19i | −0.113527 | + | 0.478774i | ||||
\(991\) | 5.24100e18i | 0.175766i | 0.996131 | + | 0.0878830i | \(0.0280102\pi\) | ||||
−0.996131 | + | 0.0878830i | \(0.971990\pi\) | |||||||
\(992\) | −5.31945e18 | − | 5.14771e19i | −0.177231 | − | 1.71509i | ||||
\(993\) | 3.01531e19 | − | 3.20427e19i | 0.998072 | − | 1.06062i | ||||
\(994\) | 2.41798e19 | + | 7.30953e18i | 0.795134 | + | 0.240369i | ||||
\(995\) | 2.16866e19 | 0.708504 | ||||||||
\(996\) | −4.21754e18 | − | 1.81237e19i | −0.136891 | − | 0.588248i | ||||
\(997\) | 1.79147e19 | 0.577684 | 0.288842 | − | 0.957377i | \(-0.406730\pi\) | ||||
0.288842 | + | 0.957377i | \(0.406730\pi\) | |||||||
\(998\) | 5.57041e17 | + | 1.68393e17i | 0.0178459 | + | 0.00539481i | ||||
\(999\) | −3.38729e19 | + | 4.06852e19i | −1.07814 | + | 1.29497i |
(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 | 12.14.b.a.11.15 | yes | 24 | |
3.2 | odd | 2 | inner | 12.14.b.a.11.10 | yes | 24 | |
4.3 | odd | 2 | inner | 12.14.b.a.11.9 | ✓ | 24 | |
12.11 | even | 2 | inner | 12.14.b.a.11.16 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.14.b.a.11.9 | ✓ | 24 | 4.3 | odd | 2 | inner | |
12.14.b.a.11.10 | yes | 24 | 3.2 | odd | 2 | inner | |
12.14.b.a.11.15 | yes | 24 | 1.1 | even | 1 | trivial | |
12.14.b.a.11.16 | yes | 24 | 12.11 | even | 2 | inner |