Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,10,Mod(7,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.7");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.d (of order \(7\), degree \(6\), 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: | \(14.9360392488\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 7.5 | ||
Character | \(\chi\) | \(=\) | 29.7 |
Dual form | 29.10.d.a.25.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.54005 | − | 24.2726i | −0.244838 | − | 1.07271i | −0.936551 | − | 0.350533i | \(-0.886001\pi\) |
0.691713 | − | 0.722173i | \(-0.256857\pi\) | |||||||
\(3\) | −131.756 | − | 63.4505i | −0.939130 | − | 0.452261i | −0.0992678 | − | 0.995061i | \(-0.531650\pi\) |
−0.839862 | + | 0.542800i | \(0.817364\pi\) | |||||||
\(4\) | −97.1687 | + | 46.7940i | −0.189783 | + | 0.0913945i | ||||
\(5\) | −324.293 | − | 1420.82i | −0.232045 | − | 1.01666i | −0.947940 | − | 0.318448i | \(-0.896838\pi\) |
0.715895 | − | 0.698208i | \(-0.246019\pi\) | |||||||
\(6\) | −810.169 | + | 3549.58i | −0.255208 | + | 1.11814i | ||||
\(7\) | −5845.17 | − | 2814.89i | −0.920145 | − | 0.443119i | −0.0870222 | − | 0.996206i | \(-0.527735\pi\) |
−0.833123 | + | 0.553088i | \(0.813449\pi\) | |||||||
\(8\) | −6273.59 | − | 7866.83i | −0.541516 | − | 0.679039i | ||||
\(9\) | 1061.61 | + | 1331.22i | 0.0539353 | + | 0.0676328i | ||||
\(10\) | −32690.3 | + | 15742.8i | −1.03376 | + | 0.497832i | ||||
\(11\) | −8679.31 | + | 10883.5i | −0.178738 | + | 0.224131i | −0.863127 | − | 0.504986i | \(-0.831498\pi\) |
0.684389 | + | 0.729117i | \(0.260069\pi\) | |||||||
\(12\) | 15771.7 | 0.219565 | ||||||||
\(13\) | 38604.6 | − | 48408.7i | 0.374882 | − | 0.470087i | −0.558223 | − | 0.829691i | \(-0.688517\pi\) |
0.933105 | + | 0.359604i | \(0.117088\pi\) | |||||||
\(14\) | −35941.9 | + | 157472.i | −0.250049 | + | 1.09554i | ||||
\(15\) | −47424.1 | + | 207779.i | −0.241874 | + | 1.05972i | ||||
\(16\) | −190620. | + | 239030.i | −0.727159 | + | 0.911828i | ||||
\(17\) | 180166. | 0.523181 | 0.261591 | − | 0.965179i | \(-0.415753\pi\) | ||||
0.261591 | + | 0.965179i | \(0.415753\pi\) | |||||||
\(18\) | 26430.6 | − | 33143.0i | 0.0593446 | − | 0.0744158i | ||||
\(19\) | 942957. | − | 454104.i | 1.65997 | − | 0.799400i | 0.661181 | − | 0.750226i | \(-0.270056\pi\) |
0.998790 | − | 0.0491737i | \(-0.0156588\pi\) | |||||||
\(20\) | 97996.9 | + | 122884.i | 0.136955 | + | 0.171736i | ||||
\(21\) | 591533. | + | 741758.i | 0.663731 | + | 0.832292i | ||||
\(22\) | 312254. | + | 150374.i | 0.284188 | + | 0.136858i | ||||
\(23\) | −13841.1 | + | 60641.9i | −0.0103133 | + | 0.0451853i | −0.979823 | − | 0.199869i | \(-0.935948\pi\) |
0.969509 | + | 0.245054i | \(0.0788056\pi\) | |||||||
\(24\) | 327430. | + | 1.43457e6i | 0.201451 | + | 0.882613i | ||||
\(25\) | −153859. | + | 74094.8i | −0.0787760 | + | 0.0379365i | ||||
\(26\) | −1.38887e6 | − | 668847.i | −0.596050 | − | 0.287043i | ||||
\(27\) | 585099. | + | 2.56349e6i | 0.211881 | + | 0.928313i | ||||
\(28\) | 699688. | 0.215126 | ||||||||
\(29\) | −3.74168e6 | − | 712035.i | −0.982371 | − | 0.186943i | ||||
\(30\) | 5.30605e6 | 1.19598 | ||||||||
\(31\) | 1.03651e6 | + | 4.54124e6i | 0.201579 | + | 0.883176i | 0.969976 | + | 0.243202i | \(0.0781978\pi\) |
−0.768397 | + | 0.639974i | \(0.778945\pi\) | |||||||
\(32\) | 2.21634e6 | + | 1.06733e6i | 0.373647 | + | 0.179939i | ||||
\(33\) | 1.83412e6 | − | 883264.i | 0.269224 | − | 0.129652i | ||||
\(34\) | −998128. | − | 4.37308e6i | −0.128095 | − | 0.561219i | ||||
\(35\) | −2.10390e6 | + | 9.21779e6i | −0.236984 | + | 1.03829i | ||||
\(36\) | −165448. | − | 79675.6i | −0.0164172 | − | 0.00790613i | ||||
\(37\) | −3.06924e6 | − | 3.84871e6i | −0.269230 | − | 0.337604i | 0.628776 | − | 0.777586i | \(-0.283556\pi\) |
−0.898006 | + | 0.439982i | \(0.854985\pi\) | |||||||
\(38\) | −1.62463e7 | − | 2.03722e7i | −1.26394 | − | 1.58494i | ||||
\(39\) | −8.15796e6 | + | 3.92867e6i | −0.564665 | + | 0.271928i | ||||
\(40\) | −9.14287e6 | + | 1.14648e7i | −0.564693 | + | 0.708103i | ||||
\(41\) | −1.78751e7 | −0.987916 | −0.493958 | − | 0.869486i | \(-0.664450\pi\) | ||||
−0.493958 | + | 0.869486i | \(0.664450\pi\) | |||||||
\(42\) | 1.47273e7 | − | 1.84674e7i | 0.730298 | − | 0.915764i | ||||
\(43\) | 4.26336e6 | − | 1.86790e7i | 0.190171 | − | 0.833192i | −0.786352 | − | 0.617779i | \(-0.788033\pi\) |
0.976523 | − | 0.215414i | \(-0.0691101\pi\) | |||||||
\(44\) | 334074. | − | 1.46368e6i | 0.0134371 | − | 0.0588718i | ||||
\(45\) | 1.54715e6 | − | 1.94006e6i | 0.0562438 | − | 0.0705275i | ||||
\(46\) | 1.54861e6 | 0.0509956 | ||||||||
\(47\) | 2.59221e7 | − | 3.25053e7i | 0.774872 | − | 0.971659i | −0.225125 | − | 0.974330i | \(-0.572279\pi\) |
0.999996 | + | 0.00267141i | \(0.000850336\pi\) | |||||||
\(48\) | 4.02820e7 | − | 1.93988e7i | 1.09528 | − | 0.527460i | ||||
\(49\) | 1.08241e6 | + | 1.35730e6i | 0.0268232 | + | 0.0336352i | ||||
\(50\) | 2.65086e6 | + | 3.32407e6i | 0.0599821 | + | 0.0752151i | ||||
\(51\) | −2.37380e7 | − | 1.14316e7i | −0.491335 | − | 0.236615i | ||||
\(52\) | −1.48593e6 | + | 6.51027e6i | −0.0281827 | + | 0.123476i | ||||
\(53\) | 2.23167e6 | + | 9.77760e6i | 0.0388498 | + | 0.170212i | 0.990631 | − | 0.136565i | \(-0.0436064\pi\) |
−0.951781 | + | 0.306778i | \(0.900749\pi\) | |||||||
\(54\) | 5.89809e7 | − | 2.84037e7i | 0.943930 | − | 0.454573i | ||||
\(55\) | 1.82781e7 | + | 8.80229e6i | 0.269339 | + | 0.129707i | ||||
\(56\) | 1.45260e7 | + | 6.36424e7i | 0.197378 | + | 0.864770i | ||||
\(57\) | −1.53054e8 | −1.92047 | ||||||||
\(58\) | 3.44619e6 | + | 9.47648e7i | 0.0399864 | + | 1.09957i | ||||
\(59\) | −1.07273e8 | −1.15254 | −0.576269 | − | 0.817260i | \(-0.695492\pi\) | ||||
−0.576269 | + | 0.817260i | \(0.695492\pi\) | |||||||
\(60\) | −5.11465e6 | − | 2.24087e7i | −0.0509489 | − | 0.223222i | ||||
\(61\) | 4.44687e7 | + | 2.14150e7i | 0.411216 | + | 0.198031i | 0.628043 | − | 0.778179i | \(-0.283856\pi\) |
−0.216826 | + | 0.976210i | \(0.569571\pi\) | |||||||
\(62\) | 1.04485e8 | − | 5.03175e7i | 0.898033 | − | 0.432470i | ||||
\(63\) | −2.45807e6 | − | 1.07695e7i | −0.0196590 | − | 0.0861317i | ||||
\(64\) | −2.12039e7 | + | 9.29005e7i | −0.157982 | + | 0.692163i | ||||
\(65\) | −8.12993e7 | − | 3.91517e7i | −0.564906 | − | 0.272045i | ||||
\(66\) | −3.16002e7 | − | 3.96254e7i | −0.204994 | − | 0.257055i | ||||
\(67\) | 6.83031e7 | + | 8.56494e7i | 0.414099 | + | 0.519263i | 0.944512 | − | 0.328475i | \(-0.106535\pi\) |
−0.530414 | + | 0.847739i | \(0.677963\pi\) | |||||||
\(68\) | −1.75065e7 | + | 8.43067e6i | −0.0992907 | + | 0.0478159i | ||||
\(69\) | 5.67141e6 | − | 7.11172e6i | 0.0301210 | − | 0.0377706i | ||||
\(70\) | 2.35395e8 | 1.17181 | ||||||||
\(71\) | −1.97967e8 | + | 2.48243e8i | −0.924549 | + | 1.15935i | 0.0623572 | + | 0.998054i | \(0.480138\pi\) |
−0.986906 | + | 0.161294i | \(0.948433\pi\) | |||||||
\(72\) | 3.81235e6 | − | 1.67030e7i | 0.0167185 | − | 0.0732484i | ||||
\(73\) | 1.60102e7 | − | 7.01455e7i | 0.0659850 | − | 0.289099i | −0.931160 | − | 0.364611i | \(-0.881202\pi\) |
0.997145 | + | 0.0755120i | \(0.0240591\pi\) | |||||||
\(74\) | −7.64142e7 | + | 9.58204e7i | −0.296232 | + | 0.371463i | ||||
\(75\) | 2.49733e7 | 0.0911381 | ||||||||
\(76\) | −7.03765e7 | + | 8.82494e7i | −0.241973 | + | 0.303424i | ||||
\(77\) | 8.13679e7 | − | 3.91847e7i | 0.263782 | − | 0.127031i | ||||
\(78\) | 1.40554e8 | + | 1.76250e8i | 0.429951 | + | 0.539141i | ||||
\(79\) | −1.25769e7 | − | 1.57709e7i | −0.0363288 | − | 0.0455549i | 0.763335 | − | 0.646003i | \(-0.223560\pi\) |
−0.799664 | + | 0.600448i | \(0.794989\pi\) | |||||||
\(80\) | 4.01436e8 | + | 1.93321e8i | 1.09575 | + | 0.527685i | ||||
\(81\) | 9.30216e7 | − | 4.07554e8i | 0.240105 | − | 1.05197i | ||||
\(82\) | 9.90287e7 | + | 4.33873e8i | 0.241879 | + | 1.05974i | ||||
\(83\) | 5.98140e8 | − | 2.88049e8i | 1.38341 | − | 0.666215i | 0.413687 | − | 0.910419i | \(-0.364241\pi\) |
0.969724 | + | 0.244204i | \(0.0785266\pi\) | |||||||
\(84\) | −9.21883e7 | − | 4.43955e7i | −0.202031 | − | 0.0972932i | ||||
\(85\) | −5.84265e7 | − | 2.55983e8i | −0.121402 | − | 0.531895i | ||||
\(86\) | −4.77006e8 | −0.940331 | ||||||||
\(87\) | 4.47811e8 | + | 3.31226e8i | 0.838027 | + | 0.619852i | ||||
\(88\) | 1.40069e8 | 0.248983 | ||||||||
\(89\) | −1.42454e8 | − | 6.24130e8i | −0.240668 | − | 1.05444i | −0.940411 | − | 0.340041i | \(-0.889559\pi\) |
0.699742 | − | 0.714395i | \(-0.253298\pi\) | |||||||
\(90\) | −5.56615e7 | − | 2.68051e7i | −0.0894259 | − | 0.0430652i | ||||
\(91\) | −3.61916e8 | + | 1.74290e8i | −0.553250 | + | 0.266431i | ||||
\(92\) | −1.49275e6 | − | 6.54017e6i | −0.00217241 | − | 0.00951796i | ||||
\(93\) | 1.51578e8 | − | 6.64105e8i | 0.210117 | − | 0.920584i | ||||
\(94\) | −9.32596e8 | − | 4.49115e8i | −1.23202 | − | 0.593310i | ||||
\(95\) | −9.50994e8 | − | 1.19251e9i | −1.19790 | − | 1.50212i | ||||
\(96\) | −2.24294e8 | − | 2.81256e8i | −0.269524 | − | 0.337972i | ||||
\(97\) | −1.33511e9 | + | 6.42954e8i | −1.53124 | + | 0.737407i | −0.994341 | − | 0.106239i | \(-0.966119\pi\) |
−0.536900 | + | 0.843646i | \(0.680405\pi\) | |||||||
\(98\) | 2.69485e7 | − | 3.37924e7i | 0.0295133 | − | 0.0370085i | ||||
\(99\) | −2.37023e7 | −0.0247989 | ||||||||
\(100\) | 1.14831e7 | − | 1.43994e7i | 0.0114831 | − | 0.0143994i | ||||
\(101\) | −3.00901e8 | + | 1.31833e9i | −0.287725 | + | 1.26061i | 0.599913 | + | 0.800065i | \(0.295202\pi\) |
−0.887638 | + | 0.460541i | \(0.847655\pi\) | |||||||
\(102\) | −1.45965e8 | + | 6.39513e8i | −0.133520 | + | 0.584990i | ||||
\(103\) | 6.66262e8 | − | 8.35466e8i | 0.583280 | − | 0.731410i | −0.399388 | − | 0.916782i | \(-0.630777\pi\) |
0.982669 | + | 0.185371i | \(0.0593488\pi\) | |||||||
\(104\) | −6.23013e8 | −0.522212 | ||||||||
\(105\) | 8.62076e8 | − | 1.08101e9i | 0.692139 | − | 0.867915i | ||||
\(106\) | 2.24964e8 | − | 1.08337e8i | 0.173076 | − | 0.0833489i | ||||
\(107\) | −5.10745e8 | − | 6.40454e8i | −0.376684 | − | 0.472347i | 0.556965 | − | 0.830536i | \(-0.311966\pi\) |
−0.933649 | + | 0.358189i | \(0.883394\pi\) | |||||||
\(108\) | −1.76809e8 | − | 2.21712e8i | −0.125054 | − | 0.156813i | ||||
\(109\) | 2.02757e9 | + | 9.76426e8i | 1.37580 | + | 0.662552i | 0.968101 | − | 0.250562i | \(-0.0806154\pi\) |
0.407704 | + | 0.913114i | \(0.366330\pi\) | |||||||
\(110\) | 1.12392e8 | − | 4.92422e8i | 0.0731929 | − | 0.320679i | ||||
\(111\) | 1.60190e8 | + | 7.01837e8i | 0.100157 | + | 0.438816i | ||||
\(112\) | 1.78705e9 | − | 8.60599e8i | 1.07314 | − | 0.516797i | ||||
\(113\) | −2.11558e9 | − | 1.01881e9i | −1.22061 | − | 0.587815i | −0.291129 | − | 0.956684i | \(-0.594031\pi\) |
−0.929481 | + | 0.368869i | \(0.879745\pi\) | |||||||
\(114\) | 8.47925e8 | + | 3.71500e9i | 0.470203 | + | 2.06010i | ||||
\(115\) | 9.06497e7 | 0.0483311 | ||||||||
\(116\) | 3.96893e8 | − | 1.05900e8i | 0.203522 | − | 0.0543046i | ||||
\(117\) | 1.05425e8 | 0.0520127 | ||||||||
\(118\) | 5.94296e8 | + | 2.60378e9i | 0.282185 | + | 1.23633i | ||||
\(119\) | −1.05310e9 | − | 5.07146e8i | −0.481403 | − | 0.231831i | ||||
\(120\) | 1.93208e9 | − | 9.30440e8i | 0.850568 | − | 0.409612i | ||||
\(121\) | 4.81572e8 | + | 2.10991e9i | 0.204234 | + | 0.894806i | ||||
\(122\) | 2.73438e8 | − | 1.19801e9i | 0.111748 | − | 0.489600i | ||||
\(123\) | 2.35515e9 | + | 1.13418e9i | 0.927782 | + | 0.446796i | ||||
\(124\) | −3.13219e8 | − | 3.92764e8i | −0.118974 | − | 0.149188i | ||||
\(125\) | −1.61953e9 | − | 2.03083e9i | −0.593328 | − | 0.744010i | ||||
\(126\) | −2.47785e8 | + | 1.19327e8i | −0.0875807 | + | 0.0421766i | ||||
\(127\) | 1.40361e8 | − | 1.76007e8i | 0.0478773 | − | 0.0600363i | −0.757316 | − | 0.653048i | \(-0.773490\pi\) |
0.805194 | + | 0.593012i | \(0.202061\pi\) | |||||||
\(128\) | 3.63190e9 | 1.19588 | ||||||||
\(129\) | −1.74692e9 | + | 2.19056e9i | −0.555416 | + | 0.696469i | ||||
\(130\) | −4.99909e8 | + | 2.19024e9i | −0.153513 | + | 0.672585i | ||||
\(131\) | 8.03288e7 | − | 3.51943e8i | 0.0238314 | − | 0.104412i | −0.961613 | − | 0.274408i | \(-0.911518\pi\) |
0.985445 | + | 0.169995i | \(0.0543753\pi\) | |||||||
\(132\) | −1.36887e8 | + | 1.71651e8i | −0.0392446 | + | 0.0492112i | ||||
\(133\) | −6.79000e9 | −1.88164 | ||||||||
\(134\) | 1.70053e9 | − | 2.13239e9i | 0.455630 | − | 0.571341i | ||||
\(135\) | 3.45251e9 | − | 1.66264e9i | 0.894609 | − | 0.430821i | ||||
\(136\) | −1.13029e9 | − | 1.41733e9i | −0.283311 | − | 0.355260i | ||||
\(137\) | −1.13673e9 | − | 1.42542e9i | −0.275687 | − | 0.345701i | 0.624641 | − | 0.780912i | \(-0.285245\pi\) |
−0.900328 | + | 0.435211i | \(0.856674\pi\) | |||||||
\(138\) | −2.04040e8 | − | 9.82603e7i | −0.0478915 | − | 0.0230633i | ||||
\(139\) | −1.35956e9 | + | 5.95663e9i | −0.308910 | + | 1.35342i | 0.547361 | + | 0.836897i | \(0.315633\pi\) |
−0.856271 | + | 0.516527i | \(0.827225\pi\) | |||||||
\(140\) | −2.26904e8 | − | 9.94130e8i | −0.0499190 | − | 0.218709i | ||||
\(141\) | −5.47788e9 | + | 2.63801e9i | −1.16715 | + | 0.562069i | ||||
\(142\) | 7.12223e9 | + | 3.42989e9i | 1.47000 | + | 0.707916i | ||||
\(143\) | 1.91795e8 | + | 8.40308e8i | 0.0383552 | + | 0.168045i | ||||
\(144\) | −5.20565e8 | −0.100889 | ||||||||
\(145\) | 2.01726e8 | + | 5.54716e9i | 0.0378971 | + | 1.04211i | ||||
\(146\) | −1.79131e9 | −0.326274 | ||||||||
\(147\) | −5.64931e7 | − | 2.47512e8i | −0.00997855 | − | 0.0437189i | ||||
\(148\) | 4.78331e8 | + | 2.30352e8i | 0.0819503 | + | 0.0394652i | ||||
\(149\) | 2.70497e9 | − | 1.30265e9i | 0.449599 | − | 0.216515i | −0.195362 | − | 0.980731i | \(-0.562588\pi\) |
0.644960 | + | 0.764216i | \(0.276874\pi\) | |||||||
\(150\) | −1.38353e8 | − | 6.06165e8i | −0.0223141 | − | 0.0977643i | ||||
\(151\) | 1.99025e9 | − | 8.71986e9i | 0.311538 | − | 1.36494i | −0.540449 | − | 0.841377i | \(-0.681746\pi\) |
0.851988 | − | 0.523562i | \(-0.175397\pi\) | |||||||
\(152\) | −9.48808e9 | − | 4.56922e9i | −1.44172 | − | 0.694298i | ||||
\(153\) | 1.91266e8 | + | 2.39839e8i | 0.0282179 | + | 0.0353842i | ||||
\(154\) | −1.40190e9 | − | 1.75792e9i | −0.200850 | − | 0.251858i | ||||
\(155\) | 6.11616e9 | − | 2.94539e9i | 0.851111 | − | 0.409873i | ||||
\(156\) | 6.08860e8 | − | 7.63487e8i | 0.0823108 | − | 0.103215i | ||||
\(157\) | −3.10294e9 | −0.407591 | −0.203796 | − | 0.979013i | \(-0.565328\pi\) | ||||
−0.203796 | + | 0.979013i | \(0.565328\pi\) | |||||||
\(158\) | −3.13124e8 | + | 3.92645e8i | −0.0399723 | + | 0.0501236i | ||||
\(159\) | 3.26356e8 | − | 1.42986e9i | 0.0404953 | − | 0.177422i | ||||
\(160\) | 7.97745e8 | − | 3.49515e9i | 0.0962330 | − | 0.421624i | ||||
\(161\) | 2.51604e8 | − | 3.15501e8i | 0.0295121 | − | 0.0370070i | ||||
\(162\) | −1.04077e10 | −1.18724 | ||||||||
\(163\) | 3.17821e9 | − | 3.98535e9i | 0.352645 | − | 0.442203i | −0.573594 | − | 0.819140i | \(-0.694451\pi\) |
0.926239 | + | 0.376937i | \(0.123023\pi\) | |||||||
\(164\) | 1.73690e9 | − | 8.36445e8i | 0.187489 | − | 0.0902901i | ||||
\(165\) | −1.84975e9 | − | 2.31951e9i | −0.194283 | − | 0.243624i | ||||
\(166\) | −1.03054e10 | − | 1.29226e10i | −1.05336 | − | 1.32088i | ||||
\(167\) | 1.39506e10 | + | 6.71827e9i | 1.38794 | + | 0.668395i | 0.970676 | − | 0.240392i | \(-0.0772760\pi\) |
0.417260 | + | 0.908787i | \(0.362990\pi\) | |||||||
\(168\) | 2.12426e9 | − | 9.30697e9i | 0.205738 | − | 0.901398i | ||||
\(169\) | 1.50664e9 | + | 6.60102e9i | 0.142076 | + | 0.622474i | ||||
\(170\) | −5.88968e9 | + | 2.83632e9i | −0.540843 | + | 0.260456i | ||||
\(171\) | 1.60556e9 | + | 7.73198e8i | 0.143597 | + | 0.0691525i | ||||
\(172\) | 4.59799e8 | + | 2.01451e9i | 0.0400581 | + | 0.175506i | ||||
\(173\) | 8.35705e9 | 0.709326 | 0.354663 | − | 0.934994i | \(-0.384596\pi\) | ||||
0.354663 | + | 0.934994i | \(0.384596\pi\) | |||||||
\(174\) | 5.55882e9 | − | 1.27045e10i | 0.459738 | − | 1.05072i | ||||
\(175\) | 1.10790e9 | 0.0892957 | ||||||||
\(176\) | −9.47036e8 | − | 4.14924e9i | −0.0743977 | − | 0.325958i | ||||
\(177\) | 1.41339e10 | + | 6.80651e9i | 1.08238 | + | 0.521248i | ||||
\(178\) | −1.43600e10 | + | 6.91543e9i | −1.07217 | + | 0.516332i | ||||
\(179\) | 1.20914e9 | + | 5.29758e9i | 0.0880314 | + | 0.385691i | 0.999680 | − | 0.0252789i | \(-0.00804737\pi\) |
−0.911649 | + | 0.410970i | \(0.865190\pi\) | |||||||
\(180\) | −5.95510e7 | + | 2.60910e8i | −0.00422827 | + | 0.0185253i | ||||
\(181\) | 5.05818e7 | + | 2.43589e7i | 0.00350300 | + | 0.00168696i | 0.435634 | − | 0.900124i | \(-0.356524\pi\) |
−0.432131 | + | 0.901811i | \(0.642238\pi\) | |||||||
\(182\) | 6.23549e9 | + | 7.81905e9i | 0.421259 | + | 0.528242i | ||||
\(183\) | −4.50024e9 | − | 5.64312e9i | −0.296624 | − | 0.371954i | ||||
\(184\) | 5.63892e8 | − | 2.71556e8i | 0.0362674 | − | 0.0174654i | ||||
\(185\) | −4.47299e9 | + | 5.60895e9i | −0.280753 | + | 0.352054i | ||||
\(186\) | −1.69593e10 | −1.03896 | ||||||||
\(187\) | −1.56371e9 | + | 1.96084e9i | −0.0935126 | + | 0.117261i | ||||
\(188\) | −9.97765e8 | + | 4.37149e9i | −0.0582530 | + | 0.255223i | ||||
\(189\) | 3.79592e9 | − | 1.66310e10i | 0.216391 | − | 0.948071i | ||||
\(190\) | −2.36767e10 | + | 2.96896e10i | −1.31804 | + | 1.65277i | ||||
\(191\) | 1.61550e10 | 0.878329 | 0.439164 | − | 0.898407i | \(-0.355275\pi\) | ||||
0.439164 | + | 0.898407i | \(0.355275\pi\) | |||||||
\(192\) | 8.68833e9 | − | 1.08948e10i | 0.461404 | − | 0.578582i | ||||
\(193\) | −2.14804e10 | + | 1.03444e10i | −1.11438 | + | 0.536658i | −0.898153 | − | 0.439684i | \(-0.855090\pi\) |
−0.216230 | + | 0.976342i | \(0.569376\pi\) | |||||||
\(194\) | 2.30027e10 | + | 2.88445e10i | 1.16593 | + | 1.46203i | ||||
\(195\) | 8.22750e9 | + | 1.03170e10i | 0.407485 | + | 0.510971i | ||||
\(196\) | −1.68690e8 | − | 8.12368e7i | −0.00816464 | − | 0.00393188i | ||||
\(197\) | 4.62822e9 | − | 2.02775e10i | 0.218935 | − | 0.959218i | −0.739331 | − | 0.673342i | \(-0.764858\pi\) |
0.958267 | − | 0.285876i | \(-0.0922845\pi\) | |||||||
\(198\) | 1.31312e8 | + | 5.75316e8i | 0.00607172 | + | 0.0266019i | ||||
\(199\) | −3.13227e10 | + | 1.50842e10i | −1.41586 | + | 0.681842i | −0.976310 | − | 0.216376i | \(-0.930576\pi\) |
−0.439550 | + | 0.898218i | \(0.644862\pi\) | |||||||
\(200\) | 1.54814e9 | + | 7.45545e8i | 0.0684188 | + | 0.0329488i | ||||
\(201\) | −3.56487e9 | − | 1.56187e10i | −0.154050 | − | 0.674937i | ||||
\(202\) | 3.36664e10 | 1.42271 | ||||||||
\(203\) | 1.98665e10 | + | 1.46944e10i | 0.821085 | + | 0.607322i | ||||
\(204\) | 2.84152e9 | 0.114872 | ||||||||
\(205\) | 5.79675e9 | + | 2.53972e10i | 0.229241 | + | 1.00437i | ||||
\(206\) | −2.39700e10 | − | 1.15434e10i | −0.927397 | − | 0.446611i | ||||
\(207\) | −9.54212e7 | + | 4.59524e7i | −0.00361226 | + | 0.00173957i | ||||
\(208\) | 4.21232e9 | + | 1.84554e10i | 0.156040 | + | 0.683656i | ||||
\(209\) | −3.24197e9 | + | 1.42040e10i | −0.117530 | + | 0.514934i | ||||
\(210\) | −3.10148e10 | − | 1.49359e10i | −1.10048 | − | 0.529963i | ||||
\(211\) | −1.78624e9 | − | 2.23987e9i | −0.0620396 | − | 0.0777951i | 0.749843 | − | 0.661615i | \(-0.230129\pi\) |
−0.811883 | + | 0.583820i | \(0.801557\pi\) | |||||||
\(212\) | −6.74381e8 | − | 8.45647e8i | −0.0229295 | − | 0.0287527i | ||||
\(213\) | 4.18345e10 | − | 2.01464e10i | 1.39260 | − | 0.670641i | ||||
\(214\) | −1.27159e10 | + | 1.59452e10i | −0.414463 | + | 0.519720i | ||||
\(215\) | −2.79221e10 | −0.891198 | ||||||||
\(216\) | 1.64959e10 | − | 2.06851e10i | 0.515624 | − | 0.646572i | ||||
\(217\) | 6.72451e9 | − | 2.94620e10i | 0.205870 | − | 0.901974i | ||||
\(218\) | 1.24675e10 | − | 5.46238e10i | 0.373874 | − | 1.63805i | ||||
\(219\) | −6.56021e9 | + | 8.22625e9i | −0.192717 | + | 0.241659i | ||||
\(220\) | −2.18796e9 | −0.0629704 | ||||||||
\(221\) | 6.95524e9 | − | 8.72159e9i | 0.196131 | − | 0.245941i | ||||
\(222\) | 1.61479e10 | − | 7.77642e9i | 0.446198 | − | 0.214878i | ||||
\(223\) | 2.45348e10 | + | 3.07657e10i | 0.664372 | + | 0.833096i | 0.993811 | − | 0.111081i | \(-0.0354312\pi\) |
−0.329440 | + | 0.944177i | \(0.606860\pi\) | |||||||
\(224\) | −9.95047e9 | − | 1.24775e10i | −0.264075 | − | 0.331140i | ||||
\(225\) | −2.61975e8 | − | 1.26160e8i | −0.00681456 | − | 0.00328172i | ||||
\(226\) | −1.30087e10 | + | 5.69948e10i | −0.331700 | + | 1.45327i | ||||
\(227\) | −9.18974e8 | − | 4.02629e9i | −0.0229714 | − | 0.100644i | 0.962143 | − | 0.272546i | \(-0.0878658\pi\) |
−0.985114 | + | 0.171902i | \(0.945009\pi\) | |||||||
\(228\) | 1.48720e10 | − | 7.16199e9i | 0.364471 | − | 0.175520i | ||||
\(229\) | 3.82534e8 | + | 1.84219e8i | 0.00919201 | + | 0.00442664i | 0.438474 | − | 0.898744i | \(-0.355519\pi\) |
−0.429282 | + | 0.903170i | \(0.641233\pi\) | |||||||
\(230\) | −5.02204e8 | − | 2.20030e9i | −0.0118333 | − | 0.0518450i | ||||
\(231\) | −1.32070e10 | −0.305176 | ||||||||
\(232\) | 1.78723e10 | + | 3.39022e10i | 0.405027 | + | 0.768301i | ||||
\(233\) | 5.38206e10 | 1.19632 | 0.598160 | − | 0.801377i | \(-0.295899\pi\) | ||||
0.598160 | + | 0.801377i | \(0.295899\pi\) | |||||||
\(234\) | −5.84063e8 | − | 2.55895e9i | −0.0127347 | − | 0.0557943i | ||||
\(235\) | −5.45905e10 | − | 2.62894e10i | −1.16765 | − | 0.562310i | ||||
\(236\) | 1.04235e10 | − | 5.01972e9i | 0.218732 | − | 0.105336i | ||||
\(237\) | 6.56411e8 | + | 2.87592e9i | 0.0135148 | + | 0.0592120i | ||||
\(238\) | −6.47551e9 | + | 2.83711e10i | −0.130821 | + | 0.573164i | ||||
\(239\) | −7.34420e8 | − | 3.53678e8i | −0.0145598 | − | 0.00701161i | 0.426590 | − | 0.904445i | \(-0.359715\pi\) |
−0.441149 | + | 0.897434i | \(0.645429\pi\) | |||||||
\(240\) | −4.06254e10 | − | 5.09426e10i | −0.790400 | − | 0.991130i | ||||
\(241\) | −3.70733e10 | − | 4.64885e10i | −0.707921 | − | 0.887705i | 0.289666 | − | 0.957128i | \(-0.406456\pi\) |
−0.997587 | + | 0.0694228i | \(0.977884\pi\) | |||||||
\(242\) | 4.85449e10 | − | 2.33780e10i | 0.909859 | − | 0.438165i | ||||
\(243\) | −5.84716e9 | + | 7.33210e9i | −0.107576 | + | 0.134896i | ||||
\(244\) | −5.32306e9 | −0.0961407 | ||||||||
\(245\) | 1.57746e9 | − | 1.97807e9i | 0.0279712 | − | 0.0350748i | ||||
\(246\) | 1.44818e10 | − | 6.34490e10i | 0.252124 | − | 1.10463i | ||||
\(247\) | 1.44199e10 | − | 6.31778e10i | 0.246506 | − | 1.08001i | ||||
\(248\) | 2.92226e10 | − | 3.66439e10i | 0.490553 | − | 0.615134i | ||||
\(249\) | −9.70855e10 | −1.60051 | ||||||||
\(250\) | −4.03212e10 | + | 5.05611e10i | −0.652834 | + | 0.818628i | ||||
\(251\) | −8.21839e10 | + | 3.95777e10i | −1.30694 | + | 0.629388i | −0.952171 | − | 0.305567i | \(-0.901154\pi\) |
−0.354767 | + | 0.934955i | \(0.615440\pi\) | |||||||
\(252\) | 7.42795e8 | + | 9.31435e8i | 0.0116029 | + | 0.0145496i | ||||
\(253\) | −5.39865e8 | − | 6.76969e8i | −0.00828405 | − | 0.0103879i | ||||
\(254\) | −5.04975e9 | − | 2.43183e9i | −0.0761234 | − | 0.0366591i | ||||
\(255\) | −8.54420e9 | + | 3.74346e10i | −0.126544 | + | 0.554424i | ||||
\(256\) | −9.26449e9 | − | 4.05904e10i | −0.134816 | − | 0.590668i | ||||
\(257\) | −5.70835e10 | + | 2.74900e10i | −0.816229 | + | 0.393075i | −0.794932 | − | 0.606698i | \(-0.792494\pi\) |
−0.0212963 | + | 0.999773i | \(0.506779\pi\) | |||||||
\(258\) | 6.28486e10 | + | 3.02663e10i | 0.883093 | + | 0.425275i | ||||
\(259\) | 7.10658e9 | + | 3.11359e10i | 0.0981322 | + | 0.429945i | ||||
\(260\) | 9.73180e9 | 0.132073 | ||||||||
\(261\) | −3.02433e9 | − | 5.73688e9i | −0.0403410 | − | 0.0765233i | ||||
\(262\) | −8.98759e9 | −0.117839 | ||||||||
\(263\) | −2.45572e10 | − | 1.07592e11i | −0.316503 | − | 1.38669i | −0.843640 | − | 0.536909i | \(-0.819592\pi\) |
0.527137 | − | 0.849780i | \(-0.323265\pi\) | |||||||
\(264\) | −1.84550e10 | − | 8.88745e9i | −0.233828 | − | 0.112605i | ||||
\(265\) | 1.31685e10 | − | 6.34161e9i | 0.164032 | − | 0.0789938i | ||||
\(266\) | 3.76169e10 | + | 1.64811e11i | 0.460698 | + | 2.01845i | ||||
\(267\) | −2.08322e10 | + | 9.12719e10i | −0.250862 | + | 1.09910i | ||||
\(268\) | −1.06448e10 | − | 5.12627e9i | −0.126047 | − | 0.0607008i | ||||
\(269\) | −3.34960e10 | − | 4.20027e10i | −0.390039 | − | 0.489093i | 0.547582 | − | 0.836752i | \(-0.315548\pi\) |
−0.937621 | + | 0.347659i | \(0.886977\pi\) | |||||||
\(270\) | −5.94837e10 | − | 7.45902e10i | −0.681178 | − | 0.854171i | ||||
\(271\) | 1.28485e11 | − | 6.18752e10i | 1.44707 | − | 0.696874i | 0.464990 | − | 0.885316i | \(-0.346058\pi\) |
0.982084 | + | 0.188442i | \(0.0603436\pi\) | |||||||
\(272\) | −3.43433e10 | + | 4.30651e10i | −0.380436 | + | 0.477051i | ||||
\(273\) | 5.87435e10 | 0.640070 | ||||||||
\(274\) | −2.83010e10 | + | 3.54883e10i | −0.303336 | + | 0.380372i | ||||
\(275\) | 5.28982e8 | − | 2.31762e9i | 0.00557755 | − | 0.0244368i | ||||
\(276\) | −2.18298e8 | + | 9.56424e8i | −0.00226443 | + | 0.00992110i | ||||
\(277\) | 6.08652e9 | − | 7.63225e9i | 0.0621169 | − | 0.0778922i | −0.749802 | − | 0.661662i | \(-0.769851\pi\) |
0.811919 | + | 0.583770i | \(0.198423\pi\) | |||||||
\(278\) | 1.52115e11 | 1.52746 | ||||||||
\(279\) | −4.94501e9 | + | 6.20084e9i | −0.0488594 | + | 0.0612677i | ||||
\(280\) | 8.57138e10 | − | 4.12776e10i | 0.833373 | − | 0.401331i | ||||
\(281\) | −3.29820e10 | − | 4.13582e10i | −0.315573 | − | 0.395715i | 0.598595 | − | 0.801052i | \(-0.295726\pi\) |
−0.914168 | + | 0.405336i | \(0.867154\pi\) | |||||||
\(282\) | 9.43789e10 | + | 1.18347e11i | 0.888697 | + | 1.11439i | ||||
\(283\) | 8.26017e10 | + | 3.97789e10i | 0.765508 | + | 0.368649i | 0.775538 | − | 0.631300i | \(-0.217478\pi\) |
−0.0100303 | + | 0.999950i | \(0.503193\pi\) | |||||||
\(284\) | 7.61992e9 | − | 3.33851e10i | 0.0695053 | − | 0.304523i | ||||
\(285\) | 4.96342e10 | + | 2.17462e11i | 0.445635 | + | 1.95245i | ||||
\(286\) | 1.93339e10 | − | 9.31070e9i | 0.170872 | − | 0.0822877i | ||||
\(287\) | 1.04483e11 | + | 5.03163e10i | 0.909026 | + | 0.437764i | ||||
\(288\) | 9.32036e8 | + | 4.08352e9i | 0.00798301 | + | 0.0349758i | ||||
\(289\) | −8.61282e10 | −0.726281 | ||||||||
\(290\) | 1.33526e11 | − | 3.56280e10i | 1.10860 | − | 0.295801i | ||||
\(291\) | 2.16705e11 | 1.77154 | ||||||||
\(292\) | 1.72669e9 | + | 7.56512e9i | 0.0138993 | + | 0.0608966i | ||||
\(293\) | −2.07696e11 | − | 1.00021e11i | −1.64636 | − | 0.792845i | −0.999544 | − | 0.0301973i | \(-0.990386\pi\) |
−0.646815 | − | 0.762647i | \(-0.723899\pi\) | |||||||
\(294\) | −5.69478e9 | + | 2.74246e9i | −0.0444544 | + | 0.0214081i | ||||
\(295\) | 3.47878e10 | + | 1.52415e11i | 0.267441 | + | 1.17173i | ||||
\(296\) | −1.10220e10 | + | 4.82904e10i | −0.0834539 | + | 0.365635i | ||||
\(297\) | −3.29780e10 | − | 1.58814e10i | −0.245935 | − | 0.118436i | ||||
\(298\) | −4.66043e10 | − | 5.84399e10i | −0.342336 | − | 0.429276i | ||||
\(299\) | 2.40126e9 | + | 3.01109e9i | 0.0173748 | + | 0.0217873i | ||||
\(300\) | −2.42662e9 | + | 1.16860e9i | −0.0172964 | + | 0.00832952i | ||||
\(301\) | −7.74993e10 | + | 9.71811e10i | −0.544188 | + | 0.682390i | ||||
\(302\) | −2.22679e11 | −1.54045 | ||||||||
\(303\) | 1.23295e11 | − | 1.54607e11i | 0.840335 | − | 1.05375i | ||||
\(304\) | −7.12021e10 | + | 3.11957e11i | −0.478147 | + | 2.09490i | ||||
\(305\) | 1.60060e10 | − | 7.01268e10i | 0.105909 | − | 0.464018i | ||||
\(306\) | 4.76190e9 | − | 5.97123e9i | 0.0310480 | − | 0.0389329i | ||||
\(307\) | −2.17689e11 | −1.39866 | −0.699332 | − | 0.714797i | \(-0.746519\pi\) | ||||
−0.699332 | + | 0.714797i | \(0.746519\pi\) | |||||||
\(308\) | −6.07280e9 | + | 7.61505e9i | −0.0384513 | + | 0.0482164i | ||||
\(309\) | −1.40795e11 | + | 6.78032e10i | −0.878565 | + | 0.423094i | ||||
\(310\) | −1.05376e11 | − | 1.32137e11i | −0.648058 | − | 0.812639i | ||||
\(311\) | −1.80801e11 | − | 2.26717e11i | −1.09592 | − | 1.37424i | −0.920958 | − | 0.389663i | \(-0.872592\pi\) |
−0.174961 | − | 0.984575i | \(-0.555980\pi\) | |||||||
\(312\) | 8.20858e10 | + | 3.95305e10i | 0.490425 | + | 0.236176i | ||||
\(313\) | 4.48127e10 | − | 1.96337e11i | 0.263908 | − | 1.15625i | −0.653064 | − | 0.757303i | \(-0.726517\pi\) |
0.916972 | − | 0.398952i | \(-0.130626\pi\) | |||||||
\(314\) | 1.71904e10 | + | 7.53162e10i | 0.0997938 | + | 0.437225i | ||||
\(315\) | −1.45044e10 | + | 6.98494e9i | −0.0830045 | + | 0.0399729i | ||||
\(316\) | 1.96006e9 | + | 9.43916e8i | 0.0110580 | + | 0.00532527i | ||||
\(317\) | −4.61068e10 | − | 2.02007e11i | −0.256448 | − | 1.12357i | −0.925018 | − | 0.379922i | \(-0.875951\pi\) |
0.668571 | − | 0.743648i | \(-0.266906\pi\) | |||||||
\(318\) | −3.65144e10 | −0.200236 | ||||||||
\(319\) | 4.02246e10 | − | 3.45426e10i | 0.217487 | − | 0.186766i | ||||
\(320\) | 1.38871e11 | 0.740350 | ||||||||
\(321\) | 2.66568e10 | + | 1.16791e11i | 0.140131 | + | 0.613955i | ||||
\(322\) | −9.05191e9 | − | 4.35917e9i | −0.0469234 | − | 0.0225971i | ||||
\(323\) | 1.69889e11 | − | 8.18140e10i | 0.868466 | − | 0.418231i | ||||
\(324\) | 1.00323e10 | + | 4.39544e10i | 0.0505764 | + | 0.221590i | ||||
\(325\) | −2.35286e9 | + | 1.03085e10i | −0.0116982 | + | 0.0512533i | ||||
\(326\) | −1.14342e11 | − | 5.50642e10i | −0.560695 | − | 0.270016i | ||||
\(327\) | −2.05190e11 | − | 2.57301e11i | −0.992412 | − | 1.24445i | ||||
\(328\) | 1.12141e11 | + | 1.40620e11i | 0.534972 | + | 0.670834i | ||||
\(329\) | −2.43018e11 | + | 1.17031e11i | −1.14355 | + | 0.550707i | ||||
\(330\) | −4.60528e10 | + | 5.77484e10i | −0.213768 | + | 0.268057i | ||||
\(331\) | 3.88744e11 | 1.78007 | 0.890037 | − | 0.455887i | \(-0.150678\pi\) | ||||
0.890037 | + | 0.455887i | \(0.150678\pi\) | |||||||
\(332\) | −4.46415e10 | + | 5.59786e10i | −0.201659 | + | 0.252872i | ||||
\(333\) | 1.86513e9 | − | 8.17165e9i | 0.00831207 | − | 0.0364175i | ||||
\(334\) | 8.57823e10 | − | 3.75837e11i | 0.377171 | − | 1.65250i | ||||
\(335\) | 9.95422e10 | − | 1.24822e11i | 0.431823 | − | 0.541489i | ||||
\(336\) | −2.90061e11 | −1.24155 | ||||||||
\(337\) | 1.10251e11 | − | 1.38250e11i | 0.465635 | − | 0.583888i | −0.492461 | − | 0.870335i | \(-0.663903\pi\) |
0.958096 | + | 0.286446i | \(0.0924740\pi\) | |||||||
\(338\) | 1.51877e11 | − | 7.31400e10i | 0.632945 | − | 0.304810i | ||||
\(339\) | 2.14097e11 | + | 2.68469e11i | 0.880466 | + | 1.10407i | ||||
\(340\) | 1.76557e10 | + | 2.21395e10i | 0.0716522 | + | 0.0898490i | ||||
\(341\) | −5.84208e10 | − | 2.81340e10i | −0.233977 | − | 0.112677i | ||||
\(342\) | 9.87259e9 | − | 4.32546e10i | 0.0390224 | − | 0.170968i | ||||
\(343\) | 5.57498e10 | + | 2.44256e11i | 0.217480 | + | 0.952843i | ||||
\(344\) | −1.73691e11 | + | 8.36452e10i | −0.668751 | + | 0.322053i | ||||
\(345\) | −1.19437e10 | − | 5.75177e9i | −0.0453892 | − | 0.0218583i | ||||
\(346\) | −4.62985e10 | − | 2.02847e11i | −0.173670 | − | 0.760897i | ||||
\(347\) | −3.38648e11 | −1.25391 | −0.626954 | − | 0.779057i | \(-0.715698\pi\) | ||||
−0.626954 | + | 0.779057i | \(0.715698\pi\) | |||||||
\(348\) | −5.90126e10 | − | 1.12300e10i | −0.215694 | − | 0.0410462i | ||||
\(349\) | −4.29713e11 | −1.55047 | −0.775236 | − | 0.631671i | \(-0.782369\pi\) | ||||
−0.775236 | + | 0.631671i | \(0.782369\pi\) | |||||||
\(350\) | −6.13784e9 | − | 2.68916e10i | −0.0218630 | − | 0.0957880i | ||||
\(351\) | 1.46683e11 | + | 7.06387e10i | 0.515818 | + | 0.248405i | ||||
\(352\) | −3.08526e10 | + | 1.48578e10i | −0.107115 | + | 0.0515838i | ||||
\(353\) | 9.86399e10 | + | 4.32170e11i | 0.338117 | + | 1.48139i | 0.802982 | + | 0.596004i | \(0.203246\pi\) |
−0.464865 | + | 0.885382i | \(0.653897\pi\) | |||||||
\(354\) | 8.69090e10 | − | 3.80773e11i | 0.294137 | − | 1.28870i | ||||
\(355\) | 4.16907e11 | + | 2.00772e11i | 1.39320 | + | 0.670928i | ||||
\(356\) | 4.30476e10 | + | 5.39799e10i | 0.142044 | + | 0.178118i | ||||
\(357\) | 1.06574e11 | + | 1.33639e11i | 0.347251 | + | 0.435439i | ||||
\(358\) | 1.21887e11 | − | 5.86978e10i | 0.392179 | − | 0.188864i | ||||
\(359\) | 8.25037e10 | − | 1.03456e11i | 0.262149 | − | 0.328724i | −0.633285 | − | 0.773919i | \(-0.718294\pi\) |
0.895434 | + | 0.445194i | \(0.146865\pi\) | |||||||
\(360\) | −2.49683e10 | −0.0783479 | ||||||||
\(361\) | 4.81764e11 | − | 6.04114e11i | 1.49297 | − | 1.87213i | ||||
\(362\) | 3.11027e8 | − | 1.36270e9i | 0.000951940 | − | 0.00417072i | ||||
\(363\) | 7.04244e10 | − | 3.08549e11i | 0.212884 | − | 0.932707i | ||||
\(364\) | 2.70112e10 | − | 3.38710e10i | 0.0806469 | − | 0.101128i | ||||
\(365\) | −1.04856e11 | −0.309226 | ||||||||
\(366\) | −1.12041e11 | + | 1.40496e11i | −0.326373 | + | 0.409258i | ||||
\(367\) | 3.45267e11 | − | 1.66272e11i | 0.993478 | − | 0.478434i | 0.134758 | − | 0.990879i | \(-0.456974\pi\) |
0.858720 | + | 0.512445i | \(0.171260\pi\) | |||||||
\(368\) | −1.18568e10 | − | 1.48680e10i | −0.0337019 | − | 0.0422608i | ||||
\(369\) | −1.89763e10 | − | 2.37956e10i | −0.0532836 | − | 0.0668155i | ||||
\(370\) | 1.60924e11 | + | 7.74970e10i | 0.446389 | + | 0.214970i | ||||
\(371\) | 1.44783e10 | − | 6.34337e10i | 0.0396767 | − | 0.173835i | ||||
\(372\) | 1.63475e10 | + | 7.16231e10i | 0.0442597 | + | 0.193914i | ||||
\(373\) | −5.75731e11 | + | 2.77257e11i | −1.54003 | + | 0.741640i | −0.995288 | − | 0.0969621i | \(-0.969087\pi\) |
−0.544744 | + | 0.838602i | \(0.683373\pi\) | |||||||
\(374\) | 5.62575e10 | + | 2.70922e10i | 0.148682 | + | 0.0716015i | ||||
\(375\) | 8.45265e10 | + | 3.70335e11i | 0.220725 | + | 0.967061i | ||||
\(376\) | −4.18338e11 | −1.07940 | ||||||||
\(377\) | −1.78915e11 | + | 1.53642e11i | −0.456153 | + | 0.391718i | ||||
\(378\) | −4.24707e11 | −1.06998 | ||||||||
\(379\) | 1.55859e11 | + | 6.82863e11i | 0.388021 | + | 1.70003i | 0.671459 | + | 0.741042i | \(0.265668\pi\) |
−0.283438 | + | 0.958991i | \(0.591475\pi\) | |||||||
\(380\) | 1.48209e11 | + | 7.13737e10i | 0.364627 | + | 0.175595i | ||||
\(381\) | −2.96612e10 | + | 1.42841e10i | −0.0721151 | + | 0.0347288i | ||||
\(382\) | −8.94996e10 | − | 3.92123e11i | −0.215048 | − | 0.942188i | ||||
\(383\) | −1.26074e11 | + | 5.52365e11i | −0.299385 | + | 1.31169i | 0.571662 | + | 0.820489i | \(0.306299\pi\) |
−0.871046 | + | 0.491201i | \(0.836558\pi\) | |||||||
\(384\) | −4.78525e11 | − | 2.30446e11i | −1.12309 | − | 0.540852i | ||||
\(385\) | −8.20615e10 | − | 1.02902e11i | −0.190356 | − | 0.238699i | ||||
\(386\) | 3.70088e11 | + | 4.64075e11i | 0.848520 | + | 1.06401i | ||||
\(387\) | 2.93918e10 | − | 1.41543e10i | 0.0666080 | − | 0.0320767i | ||||
\(388\) | 9.96443e10 | − | 1.24950e11i | 0.223208 | − | 0.279894i | ||||
\(389\) | −4.65233e11 | −1.03014 | −0.515072 | − | 0.857147i | \(-0.672235\pi\) | ||||
−0.515072 | + | 0.857147i | \(0.672235\pi\) | |||||||
\(390\) | 2.04838e11 | − | 2.56859e11i | 0.448353 | − | 0.562217i | ||||
\(391\) | −2.49369e9 | + | 1.09256e10i | −0.00539570 | + | 0.0236401i | ||||
\(392\) | 3.88705e9 | − | 1.70303e10i | 0.00831444 | − | 0.0364279i | ||||
\(393\) | −3.29148e10 | + | 4.12738e10i | −0.0696025 | + | 0.0872787i | ||||
\(394\) | −5.17828e11 | −1.08256 | ||||||||
\(395\) | −1.83290e10 | + | 2.29839e10i | −0.0378837 | + | 0.0475047i | ||||
\(396\) | 2.30312e9 | − | 1.10913e9i | 0.00470640 | − | 0.00226648i | ||||
\(397\) | 5.00620e10 | + | 6.27757e10i | 0.101146 | + | 0.126834i | 0.829828 | − | 0.558019i | \(-0.188438\pi\) |
−0.728682 | + | 0.684852i | \(0.759867\pi\) | |||||||
\(398\) | 5.39662e11 | + | 6.76715e11i | 1.07807 | + | 1.35186i | ||||
\(399\) | 8.94625e11 | + | 4.30829e11i | 1.76711 | + | 0.850994i | ||||
\(400\) | 1.16178e10 | − | 5.09010e10i | 0.0226911 | − | 0.0994161i | ||||
\(401\) | 3.66105e10 | + | 1.60401e11i | 0.0707060 | + | 0.309783i | 0.997898 | − | 0.0648031i | \(-0.0206419\pi\) |
−0.927192 | + | 0.374586i | \(0.877785\pi\) | |||||||
\(402\) | −3.59357e11 | + | 1.73057e11i | −0.686291 | + | 0.330500i | ||||
\(403\) | 2.59850e11 | + | 1.25137e11i | 0.490738 | + | 0.236327i | ||||
\(404\) | −3.24519e10 | − | 1.42181e11i | −0.0606072 | − | 0.265538i | ||||
\(405\) | −6.09228e11 | −1.12521 | ||||||||
\(406\) | 2.46609e11 | − | 5.63617e11i | 0.450444 | − | 1.02948i | ||||
\(407\) | 6.85263e10 | 0.123789 | ||||||||
\(408\) | 5.89917e10 | + | 2.58460e11i | 0.105395 | + | 0.461766i | ||||
\(409\) | 2.01760e11 | + | 9.71627e10i | 0.356518 | + | 0.171690i | 0.603565 | − | 0.797313i | \(-0.293746\pi\) |
−0.247048 | + | 0.969003i | \(0.579460\pi\) | |||||||
\(410\) | 5.84342e11 | − | 2.81404e11i | 1.02127 | − | 0.491816i | ||||
\(411\) | 5.93283e10 | + | 2.59934e11i | 0.102559 | + | 0.449340i | ||||
\(412\) | −2.56450e10 | + | 1.12358e11i | −0.0438496 | + | 0.192118i | ||||
\(413\) | 6.27028e11 | + | 3.01961e11i | 1.06050 | + | 0.510711i | ||||
\(414\) | 1.64402e9 | + | 2.06154e9i | 0.00275046 | + | 0.00344897i | ||||
\(415\) | −6.03238e11 | − | 7.56437e11i | −0.998326 | − | 1.25186i | ||||
\(416\) | 1.37229e11 | − | 6.60861e10i | 0.224660 | − | 0.108191i | ||||
\(417\) | 5.57082e11 | − | 6.98558e11i | 0.902208 | − | 1.13133i | ||||
\(418\) | 3.62728e11 | 0.581149 | ||||||||
\(419\) | −5.30624e10 | + | 6.65382e10i | −0.0841054 | + | 0.105465i | −0.822104 | − | 0.569338i | \(-0.807200\pi\) |
0.737998 | + | 0.674802i | \(0.235771\pi\) | |||||||
\(420\) | −3.31821e10 | + | 1.45380e11i | −0.0520333 | + | 0.227973i | ||||
\(421\) | 4.74035e10 | − | 2.07688e11i | 0.0735430 | − | 0.322213i | −0.924753 | − | 0.380568i | \(-0.875728\pi\) |
0.998296 | + | 0.0583552i | \(0.0185856\pi\) | |||||||
\(422\) | −4.44716e10 | + | 5.57656e10i | −0.0682616 | + | 0.0855974i | ||||
\(423\) | 7.07907e10 | 0.107509 | ||||||||
\(424\) | 6.29181e10 | − | 7.88968e10i | 0.0945430 | − | 0.118553i | ||||
\(425\) | −2.77202e10 | + | 1.33493e10i | −0.0412141 | + | 0.0198477i | ||||
\(426\) | −7.20771e11 | − | 9.03818e11i | −1.06036 | − | 1.32965i | ||||
\(427\) | −1.99647e11 | − | 2.50349e11i | −0.290627 | − | 0.364435i | ||||
\(428\) | 7.95979e10 | + | 3.83323e10i | 0.114658 | + | 0.0552164i | ||||
\(429\) | 2.80478e10 | − | 1.22885e11i | 0.0399798 | − | 0.175163i | ||||
\(430\) | 1.54690e11 | + | 6.77740e11i | 0.218199 | + | 0.955994i | ||||
\(431\) | −8.45733e11 | + | 4.07283e11i | −1.18055 | + | 0.568524i | −0.918072 | − | 0.396413i | \(-0.870255\pi\) |
−0.262481 | + | 0.964937i | \(0.584541\pi\) | |||||||
\(432\) | −7.24283e11 | − | 3.48796e11i | −1.00053 | − | 0.481832i | ||||
\(433\) | −2.49063e11 | − | 1.09121e12i | −0.340497 | − | 1.49181i | −0.798028 | − | 0.602620i | \(-0.794124\pi\) |
0.457532 | − | 0.889193i | \(-0.348734\pi\) | |||||||
\(434\) | −7.52373e11 | −1.01796 | ||||||||
\(435\) | 3.25391e11 | − | 7.43673e11i | 0.435717 | − | 0.995819i | ||||
\(436\) | −2.42707e11 | −0.321657 | ||||||||
\(437\) | 1.44861e10 | + | 6.34680e10i | 0.0190014 | + | 0.0832507i | ||||
\(438\) | 2.36016e11 | + | 1.13659e11i | 0.306414 | + | 0.147561i | ||||
\(439\) | 6.73661e11 | − | 3.24418e11i | 0.865667 | − | 0.416883i | 0.0522983 | − | 0.998632i | \(-0.483345\pi\) |
0.813369 | + | 0.581748i | \(0.197631\pi\) | |||||||
\(440\) | −4.54234e10 | − | 1.99013e11i | −0.0577754 | − | 0.253130i | ||||
\(441\) | −6.57762e8 | + | 2.88185e9i | −0.000828124 | + | 0.00362825i | ||||
\(442\) | −2.50228e11 | − | 1.20503e11i | −0.311842 | − | 0.150175i | ||||
\(443\) | 3.80044e11 | + | 4.76560e11i | 0.468832 | + | 0.587897i | 0.958885 | − | 0.283796i | \(-0.0915938\pi\) |
−0.490052 | + | 0.871693i | \(0.663022\pi\) | |||||||
\(444\) | −4.84071e10 | − | 6.07006e10i | −0.0591134 | − | 0.0741259i | ||||
\(445\) | −8.40580e11 | + | 4.04802e11i | −1.01615 | + | 0.489354i | ||||
\(446\) | 6.10838e11 | − | 7.65967e11i | 0.731003 | − | 0.916649i | ||||
\(447\) | −4.39051e11 | −0.520153 | ||||||||
\(448\) | 3.85445e11 | − | 4.83333e11i | 0.452076 | − | 0.566885i | ||||
\(449\) | 1.14764e11 | − | 5.02816e11i | 0.133260 | − | 0.583849i | −0.863566 | − | 0.504236i | \(-0.831774\pi\) |
0.996826 | − | 0.0796134i | \(-0.0253686\pi\) | |||||||
\(450\) | −1.61088e9 | + | 7.05773e9i | −0.00185185 | + | 0.00811350i | ||||
\(451\) | 1.55143e11 | − | 1.94543e11i | 0.176579 | − | 0.221422i | ||||
\(452\) | 2.53243e11 | 0.285374 | ||||||||
\(453\) | −8.15507e11 | + | 1.02261e12i | −0.909884 | + | 1.14096i | ||||
\(454\) | −9.26371e10 | + | 4.46117e10i | −0.102337 | + | 0.0492830i | ||||
\(455\) | 3.65001e11 | + | 4.57697e11i | 0.399248 | + | 0.500641i | ||||
\(456\) | 9.60195e11 | + | 1.20405e12i | 1.03996 | + | 1.30407i | ||||
\(457\) | −6.71234e11 | − | 3.23249e11i | −0.719865 | − | 0.346669i | 0.0378240 | − | 0.999284i | \(-0.487957\pi\) |
−0.757689 | + | 0.652616i | \(0.773672\pi\) | |||||||
\(458\) | 2.35220e9 | − | 1.03057e10i | 0.00249793 | − | 0.0109441i | ||||
\(459\) | 1.05415e11 | + | 4.61853e11i | 0.110852 | + | 0.485676i | ||||
\(460\) | −8.80832e9 | + | 4.24186e9i | −0.00917239 | + | 0.00441719i | ||||
\(461\) | −8.37659e11 | − | 4.03395e11i | −0.863800 | − | 0.415984i | −0.0511188 | − | 0.998693i | \(-0.516279\pi\) |
−0.812681 | + | 0.582708i | \(0.801993\pi\) | |||||||
\(462\) | 7.31676e10 | + | 3.20568e11i | 0.0747188 | + | 0.327365i | ||||
\(463\) | 1.56011e12 | 1.57776 | 0.788882 | − | 0.614545i | \(-0.210660\pi\) | ||||
0.788882 | + | 0.614545i | \(0.210660\pi\) | |||||||
\(464\) | 8.83438e11 | − | 7.58646e11i | 0.884800 | − | 0.759816i | ||||
\(465\) | −9.92729e11 | −0.984674 | ||||||||
\(466\) | −2.98169e11 | − | 1.30636e12i | −0.292904 | − | 1.28330i | ||||
\(467\) | −1.58888e12 | − | 7.65166e11i | −1.54585 | − | 0.744440i | −0.549972 | − | 0.835183i | \(-0.685362\pi\) |
−0.995874 | + | 0.0907428i | \(0.971076\pi\) | |||||||
\(468\) | −1.02441e10 | + | 4.93328e9i | −0.00987110 | + | 0.00475367i | ||||
\(469\) | −1.58150e11 | − | 6.92901e11i | −0.150936 | − | 0.661293i | ||||
\(470\) | −3.35677e11 | + | 1.47070e12i | −0.317308 | + | 1.39022i | ||||
\(471\) | 4.08832e11 | + | 1.96883e11i | 0.382781 | + | 0.184338i | ||||
\(472\) | 6.72985e11 | + | 8.43896e11i | 0.624117 | + | 0.782618i | ||||
\(473\) | 1.66290e11 | + | 2.08521e11i | 0.152753 | + | 0.191547i | ||||
\(474\) | 6.61695e10 | − | 3.18655e10i | 0.0602081 | − | 0.0289947i | ||||
\(475\) | −1.11436e11 | + | 1.39736e11i | −0.100439 | + | 0.125947i | ||||
\(476\) | 1.26060e11 | 0.112550 | ||||||||
\(477\) | −1.06469e10 | + | 1.33508e10i | −0.00941655 | + | 0.0118080i | ||||
\(478\) | −4.51595e9 | + | 1.97857e10i | −0.00395661 | + | 0.0173350i | ||||
\(479\) | −1.54282e10 | + | 6.75955e10i | −0.0133908 | + | 0.0586689i | −0.981182 | − | 0.193086i | \(-0.938150\pi\) |
0.967791 | + | 0.251755i | \(0.0810076\pi\) | |||||||
\(480\) | −3.26877e11 | + | 4.09891e11i | −0.281060 | + | 0.352438i | ||||
\(481\) | −3.04798e11 | −0.259633 | ||||||||
\(482\) | −9.23006e11 | + | 1.15741e12i | −0.778920 | + | 0.976735i | ||||
\(483\) | −5.31691e10 | + | 2.56049e10i | −0.0444526 | + | 0.0214072i | ||||
\(484\) | −1.45525e11 | − | 1.82482e11i | −0.120540 | − | 0.151153i | ||||
\(485\) | 1.34649e12 | + | 1.68844e12i | 1.10501 | + | 1.38563i | ||||
\(486\) | 2.10362e11 | + | 1.01305e11i | 0.171043 | + | 0.0823699i | ||||
\(487\) | 2.41324e11 | − | 1.05731e12i | 0.194411 | − | 0.851769i | −0.779782 | − | 0.626051i | \(-0.784670\pi\) |
0.974193 | − | 0.225718i | \(-0.0724728\pi\) | |||||||
\(488\) | −1.10510e11 | − | 4.84177e11i | −0.0882090 | − | 0.386469i | ||||
\(489\) | −6.71621e11 | + | 3.23436e11i | −0.531171 | + | 0.255798i | ||||
\(490\) | −5.67522e10 | − | 2.73304e10i | −0.0444734 | − | 0.0214172i | ||||
\(491\) | 3.14539e11 | + | 1.37809e12i | 0.244235 | + | 1.07006i | 0.937118 | + | 0.349014i | \(0.113483\pi\) |
−0.692882 | + | 0.721051i | \(0.743659\pi\) | |||||||
\(492\) | −2.81920e11 | −0.216911 | ||||||||
\(493\) | −6.74122e11 | − | 1.28284e11i | −0.513958 | − | 0.0978053i | ||||
\(494\) | −1.61337e12 | −1.21889 | ||||||||
\(495\) | 7.68650e9 | + | 3.36767e10i | 0.00575447 | + | 0.0252120i | ||||
\(496\) | −1.28308e12 | − | 6.17896e11i | −0.951885 | − | 0.458404i | ||||
\(497\) | 1.85593e12 | − | 8.93767e11i | 1.36445 | − | 0.657083i | ||||
\(498\) | 5.37859e11 | + | 2.35651e12i | 0.391865 | + | 1.71687i | ||||
\(499\) | 3.31976e11 | − | 1.45448e12i | 0.239693 | − | 1.05016i | −0.701600 | − | 0.712571i | \(-0.747531\pi\) |
0.941293 | − | 0.337591i | \(-0.109612\pi\) | |||||||
\(500\) | 2.52399e11 | + | 1.21549e11i | 0.180602 | + | 0.0869732i | ||||
\(501\) | −1.41181e12 | − | 1.77035e12i | −1.00116 | − | 1.25542i | ||||
\(502\) | 1.41595e12 | + | 1.77555e12i | 0.995136 | + | 1.24786i | ||||
\(503\) | 1.45240e12 | − | 6.99440e11i | 1.01165 | − | 0.487186i | 0.146775 | − | 0.989170i | \(-0.453111\pi\) |
0.864877 | + | 0.501984i | \(0.167396\pi\) | |||||||
\(504\) | −6.93009e10 | + | 8.69006e10i | −0.0478411 | + | 0.0599909i | ||||
\(505\) | 1.97070e12 | 1.34837 | ||||||||
\(506\) | −1.34409e10 | + | 1.68543e10i | −0.00911487 | + | 0.0114297i | ||||
\(507\) | 2.20329e11 | − | 9.65323e11i | 0.148093 | − | 0.648839i | ||||
\(508\) | −5.40262e9 | + | 2.36704e10i | −0.00359930 | + | 0.0157696i | ||||
\(509\) | 8.35610e11 | − | 1.04782e12i | 0.551790 | − | 0.691922i | −0.425227 | − | 0.905087i | \(-0.639806\pi\) |
0.977016 | + | 0.213165i | \(0.0683771\pi\) | |||||||
\(510\) | 9.55968e11 | 0.625717 | ||||||||
\(511\) | −2.91034e11 | + | 3.64945e11i | −0.188821 | + | 0.236774i | ||||
\(512\) | 7.41473e11 | − | 3.57075e11i | 0.476849 | − | 0.229638i | ||||
\(513\) | 1.71581e12 | + | 2.15156e12i | 1.09381 | + | 1.37159i | ||||
\(514\) | 9.83498e11 | + | 1.23327e12i | 0.621497 | + | 0.779333i | ||||
\(515\) | −1.40311e12 | − | 6.75702e11i | −0.878940 | − | 0.423275i | ||||
\(516\) | 6.72403e10 | − | 2.94599e11i | 0.0417548 | − | 0.182940i | ||||
\(517\) | 1.28786e11 | + | 5.64247e11i | 0.0792793 | + | 0.347345i | ||||
\(518\) | 7.16378e11 | − | 3.44990e11i | 0.437178 | − | 0.210534i | ||||
\(519\) | −1.10109e12 | − | 5.30259e11i | −0.666149 | − | 0.320800i | ||||
\(520\) | 2.02039e11 | + | 8.85189e11i | 0.121177 | + | 0.530910i | ||||
\(521\) | −3.86404e11 | −0.229758 | −0.114879 | − | 0.993379i | \(-0.536648\pi\) | ||||
−0.114879 | + | 0.993379i | \(0.536648\pi\) | |||||||
\(522\) | −1.22494e11 | + | 1.05191e11i | −0.0722100 | + | 0.0620098i | ||||
\(523\) | −1.89083e11 | −0.110508 | −0.0552542 | − | 0.998472i | \(-0.517597\pi\) | ||||
−0.0552542 | + | 0.998472i | \(0.517597\pi\) | |||||||
\(524\) | 8.66338e9 | + | 3.79568e10i | 0.00501992 | + | 0.0219937i | ||||
\(525\) | −1.45973e11 | − | 7.02970e10i | −0.0838603 | − | 0.0403850i | ||||
\(526\) | −2.47548e12 | + | 1.19213e12i | −1.41002 | + | 0.679029i | ||||
\(527\) | 1.86743e11 | + | 8.18177e11i | 0.105462 | + | 0.462061i | ||||
\(528\) | −1.38493e11 | + | 6.06778e11i | −0.0775489 | + | 0.339764i | ||||
\(529\) | 1.61930e12 | + | 7.79812e11i | 0.899034 | + | 0.432952i | ||||
\(530\) | −2.26881e11 | − | 2.84500e11i | −0.124899 | − | 0.156618i | ||||
\(531\) | −1.13882e11 | − | 1.42803e11i | −0.0621625 | − | 0.0779493i | ||||
\(532\) | 6.59775e11 | − | 3.17731e11i | 0.357103 | − | 0.171972i | ||||
\(533\) | −6.90060e11 | + | 8.65308e11i | −0.370352 | + | 0.464407i | ||||
\(534\) | 2.33081e12 | 1.24043 | ||||||||
\(535\) | −7.44340e11 | + | 9.33372e11i | −0.392807 | + | 0.492564i | ||||
\(536\) | 2.45284e11 | − | 1.07466e12i | 0.128359 | − | 0.562378i | ||||
\(537\) | 1.76823e11 | − | 7.74711e11i | 0.0917600 | − | 0.402027i | ||||
\(538\) | −8.33942e11 | + | 1.04573e12i | −0.429156 | + | 0.538145i | ||||
\(539\) | −2.41668e10 | −0.0123330 | ||||||||
\(540\) | −2.57674e11 | + | 3.23114e11i | −0.130407 | + | 0.163525i | ||||
\(541\) | −5.06836e11 | + | 2.44079e11i | −0.254378 | + | 0.122502i | −0.556728 | − | 0.830695i | \(-0.687943\pi\) |
0.302350 | + | 0.953197i | \(0.402229\pi\) | |||||||
\(542\) | −2.21368e12 | − | 2.77587e12i | −1.10184 | − | 1.38166i | ||||
\(543\) | −5.11888e9 | − | 6.41888e9i | −0.00252683 | − | 0.00316855i | ||||
\(544\) | 3.99308e11 | + | 1.92297e11i | 0.195485 | + | 0.0941406i | ||||
\(545\) | 7.29799e11 | − | 3.19746e12i | 0.354339 | − | 1.55246i | ||||
\(546\) | −3.25442e11 | − | 1.42585e12i | −0.156714 | − | 0.686607i | ||||
\(547\) | −3.61209e11 | + | 1.73949e11i | −0.172511 | + | 0.0830768i | −0.518146 | − | 0.855292i | \(-0.673378\pi\) |
0.345635 | + | 0.938369i | \(0.387663\pi\) | |||||||
\(548\) | 1.77156e11 | + | 8.53138e10i | 0.0839157 | + | 0.0404117i | ||||
\(549\) | 1.87004e10 | + | 8.19318e10i | 0.00878568 | + | 0.0384926i | ||||
\(550\) | −5.91851e10 | −0.0275791 | ||||||||
\(551\) | −3.85158e12 | + | 1.02769e12i | −1.78015 | + | 0.474986i | ||||
\(552\) | −9.15268e10 | −0.0419587 | ||||||||
\(553\) | 2.91207e10 | + | 1.27586e11i | 0.0132416 | + | 0.0580150i | ||||
\(554\) | −2.18974e11 | − | 1.05452e11i | −0.0987639 | − | 0.0475622i | ||||
\(555\) | 9.45235e11 | − | 4.55201e11i | 0.422884 | − | 0.203650i | ||||
\(556\) | −1.46627e11 | − | 6.42417e11i | −0.0650697 | − | 0.285089i | ||||
\(557\) | −2.76236e11 | + | 1.21027e12i | −0.121600 | + | 0.532763i | 0.877030 | + | 0.480435i | \(0.159521\pi\) |
−0.998630 | + | 0.0523280i | \(0.983336\pi\) | |||||||
\(558\) | 1.77906e11 | + | 8.56750e10i | 0.0776849 | + | 0.0374111i | ||||
\(559\) | −7.39640e11 | − | 9.27479e11i | −0.320381 | − | 0.401746i | ||||
\(560\) | −1.80229e12 | − | 2.25999e12i | −0.774422 | − | 0.971094i | ||||
\(561\) | 3.30445e11 | − | 1.59134e11i | 0.140853 | − | 0.0678313i | ||||
\(562\) | −8.21146e11 | + | 1.02969e12i | −0.347222 | + | 0.435403i | ||||
\(563\) | −3.70658e12 | −1.55484 | −0.777421 | − | 0.628981i | \(-0.783472\pi\) | ||||
−0.777421 | + | 0.628981i | \(0.783472\pi\) | |||||||
\(564\) | 4.08835e11 | − | 5.12663e11i | 0.170135 | − | 0.213342i | ||||
\(565\) | −7.61478e11 | + | 3.33626e12i | −0.314369 | + | 1.37734i | ||||
\(566\) | 5.07917e11 | − | 2.22533e12i | 0.208027 | − | 0.911424i | ||||
\(567\) | −1.69095e12 | + | 2.12038e12i | −0.687078 | + | 0.861569i | ||||
\(568\) | 3.19484e12 | 1.28790 | ||||||||
\(569\) | 1.41927e12 | − | 1.77971e12i | 0.567623 | − | 0.711777i | −0.412323 | − | 0.911038i | \(-0.635283\pi\) |
0.979947 | + | 0.199261i | \(0.0638541\pi\) | |||||||
\(570\) | 5.00337e12 | − | 2.40950e12i | 1.98530 | − | 0.956070i | ||||
\(571\) | −1.72209e12 | − | 2.15943e12i | −0.677943 | − | 0.850113i | 0.317220 | − | 0.948352i | \(-0.397251\pi\) |
−0.995163 | + | 0.0982386i | \(0.968679\pi\) | |||||||
\(572\) | −5.79578e10 | − | 7.26768e10i | −0.0226376 | − | 0.0283866i | ||||
\(573\) | −2.12852e12 | − | 1.02504e12i | −0.824865 | − | 0.397234i | ||||
\(574\) | 6.42464e11 | − | 2.81482e12i | 0.247028 | − | 1.08230i | ||||
\(575\) | −2.36366e9 | − | 1.03559e10i | −0.000901736 | − | 0.00395077i | ||||
\(576\) | −1.46181e11 | + | 7.03970e10i | −0.0553337 | + | 0.0266473i | ||||
\(577\) | −3.66122e12 | − | 1.76315e12i | −1.37510 | − | 0.662213i | −0.407151 | − | 0.913361i | \(-0.633478\pi\) |
−0.967949 | + | 0.251147i | \(0.919192\pi\) | |||||||
\(578\) | 4.77155e11 | + | 2.09055e12i | 0.177821 | + | 0.779086i | ||||
\(579\) | 3.48654e12 | 1.28926 | ||||||||
\(580\) | −2.79175e11 | − | 5.29571e11i | −0.102436 | − | 0.194311i | ||||
\(581\) | −4.30706e12 | −1.56815 | ||||||||
\(582\) | −1.20055e12 | − | 5.25998e12i | −0.433739 | − | 1.90034i | ||||
\(583\) | −1.25784e11 | − | 6.05743e10i | −0.0450938 | − | 0.0217160i | ||||
\(584\) | −6.52264e11 | + | 3.14114e11i | −0.232041 | + | 0.111745i | ||||
\(585\) | −3.41887e10 | − | 1.49791e11i | −0.0120693 | − | 0.0528790i | ||||
\(586\) | −1.27712e12 | + | 5.59544e12i | −0.447397 | + | 1.96018i | ||||
\(587\) | −7.63810e11 | − | 3.67832e11i | −0.265530 | − | 0.127873i | 0.296382 | − | 0.955069i | \(-0.404220\pi\) |
−0.561912 | + | 0.827197i | \(0.689934\pi\) | |||||||
\(588\) | 1.70715e10 | + | 2.14069e10i | 0.00588942 | + | 0.00738510i | ||||
\(589\) | 3.03958e12 | + | 3.81151e12i | 1.04063 | + | 1.30490i | ||||
\(590\) | 3.50678e12 | − | 1.68878e12i | 1.19145 | − | 0.573770i | ||||
\(591\) | −1.89642e12 | + | 2.37803e12i | −0.639426 | + | 0.801814i | ||||
\(592\) | 1.50502e12 | 0.503610 | ||||||||
\(593\) | −5.14697e11 | + | 6.45409e11i | −0.170925 | + | 0.214333i | −0.859914 | − | 0.510438i | \(-0.829483\pi\) |
0.688990 | + | 0.724771i | \(0.258055\pi\) | |||||||
\(594\) | −2.02782e11 | + | 8.88444e11i | −0.0668328 | + | 0.292813i | ||||
\(595\) | −3.79051e11 | + | 1.66073e12i | −0.123986 | + | 0.543216i | ||||
\(596\) | −2.01883e11 | + | 2.53153e11i | −0.0655377 | + | 0.0821816i | ||||
\(597\) | 5.08406e12 | 1.63805 | ||||||||
\(598\) | 5.97837e10 | − | 7.49663e10i | 0.0191173 | − | 0.0239724i | ||||
\(599\) | 5.09347e12 | − | 2.45289e12i | 1.61657 | − | 0.778497i | 0.616604 | − | 0.787274i | \(-0.288508\pi\) |
0.999961 | + | 0.00877683i | \(0.00279379\pi\) | |||||||
\(600\) | −1.56672e11 | − | 1.96461e11i | −0.0493527 | − | 0.0618863i | ||||
\(601\) | −1.17370e12 | − | 1.47177e12i | −0.366962 | − | 0.460156i | 0.563730 | − | 0.825959i | \(-0.309366\pi\) |
−0.930692 | + | 0.365803i | \(0.880794\pi\) | |||||||
\(602\) | 2.78818e12 | + | 1.34272e12i | 0.865241 | + | 0.416678i | ||||
\(603\) | −4.15066e10 | + | 1.81852e11i | −0.0127847 | + | 0.0560133i | ||||
\(604\) | 2.14647e11 | + | 9.40429e11i | 0.0656233 | + | 0.287514i | ||||
\(605\) | 2.84163e12 | − | 1.36846e12i | 0.862319 | − | 0.415271i | ||||
\(606\) | −4.43576e12 | − | 2.13615e12i | −1.33611 | − | 0.643435i | ||||
\(607\) | 1.25226e12 | + | 5.48653e12i | 0.374409 | + | 1.64039i | 0.714235 | + | 0.699906i | \(0.246775\pi\) |
−0.339825 | + | 0.940489i | \(0.610368\pi\) | |||||||
\(608\) | 2.57459e12 | 0.764086 | ||||||||
\(609\) | −1.68517e12 | − | 3.19661e12i | −0.496438 | − | 0.941699i | ||||
\(610\) | −1.79083e12 | −0.523685 | ||||||||
\(611\) | −5.72825e11 | − | 2.50971e12i | −0.166279 | − | 0.728514i | ||||
\(612\) | −2.98081e10 | − | 1.43548e10i | −0.00858919 | − | 0.00413634i | ||||
\(613\) | 2.46504e12 | − | 1.18710e12i | 0.705103 | − | 0.339560i | −0.0467355 | − | 0.998907i | \(-0.514882\pi\) |
0.751838 | + | 0.659348i | \(0.229167\pi\) | |||||||
\(614\) | 1.20601e12 | + | 5.28386e12i | 0.342446 | + | 1.50035i | ||||
\(615\) | 8.47708e11 | − | 3.71405e12i | 0.238951 | − | 1.04691i | ||||
\(616\) | −8.18728e11 | − | 3.94279e11i | −0.229101 | − | 0.110329i | ||||
\(617\) | 2.96829e12 | + | 3.72211e12i | 0.824560 | + | 1.03397i | 0.998786 | + | 0.0492601i | \(0.0156863\pi\) |
−0.174226 | + | 0.984706i | \(0.555742\pi\) | |||||||
\(618\) | 2.42577e12 | + | 3.04182e12i | 0.668962 | + | 0.838852i | ||||
\(619\) | 5.31947e12 | − | 2.56172e12i | 1.45633 | − | 0.701332i | 0.472650 | − | 0.881250i | \(-0.343298\pi\) |
0.983682 | + | 0.179918i | \(0.0575833\pi\) | |||||||
\(620\) | −4.56473e11 | + | 5.72399e11i | −0.124066 | + | 0.155574i | ||||
\(621\) | −1.63553e11 | −0.0441313 | ||||||||
\(622\) | −4.50135e12 | + | 5.64452e12i | −1.20583 | + | 1.51206i | ||||
\(623\) | −9.24190e11 | + | 4.04914e12i | −0.245791 | + | 1.07688i | ||||
\(624\) | 6.16003e11 | − | 2.69888e12i | 0.162649 | − | 0.712613i | ||||
\(625\) | −2.56820e12 | + | 3.22042e12i | −0.673238 | + | 0.844214i | ||||
\(626\) | −5.01388e12 | −1.30494 | ||||||||
\(627\) | 1.32840e12 | − | 1.66576e12i | 0.343261 | − | 0.430436i | ||||
\(628\) | 3.01508e11 | − | 1.45199e11i | 0.0773537 | − | 0.0372516i | ||||
\(629\) | −5.52972e11 | − | 6.93406e11i | −0.140856 | − | 0.176628i | ||||
\(630\) | 2.49898e11 | + | 3.13362e11i | 0.0632018 | + | 0.0792526i | ||||
\(631\) | −6.41598e11 | − | 3.08978e11i | −0.161113 | − | 0.0775880i | 0.351589 | − | 0.936154i | \(-0.385641\pi\) |
−0.512703 | + | 0.858566i | \(0.671356\pi\) | |||||||
\(632\) | −4.51649e10 | + | 1.97880e11i | −0.0112609 | + | 0.0493373i | ||||
\(633\) | 9.32273e10 | + | 4.08455e11i | 0.0230795 | + | 0.101118i | ||||
\(634\) | −4.64780e12 | + | 2.23826e12i | −1.14247 | + | 0.550186i | ||||
\(635\) | −2.95593e11 | − | 1.42350e11i | −0.0721459 | − | 0.0347436i | ||||
\(636\) | 3.51972e10 | + | 1.54209e11i | 0.00853005 | + | 0.0373726i | ||||
\(637\) | 1.07491e11 | 0.0258670 | ||||||||
\(638\) | −1.06128e12 | − | 7.84986e11i | −0.253594 | − | 0.187572i | ||||
\(639\) | −5.40628e11 | −0.128276 | ||||||||
\(640\) | −1.17780e12 | − | 5.16027e12i | −0.277499 | − | 1.21580i | ||||
\(641\) | 4.19555e12 | + | 2.02047e12i | 0.981585 | + | 0.472706i | 0.854650 | − | 0.519205i | \(-0.173772\pi\) |
0.126935 | + | 0.991911i | \(0.459486\pi\) | |||||||
\(642\) | 2.68714e12 | − | 1.29406e12i | 0.624284 | − | 0.300639i | ||||
\(643\) | 1.63514e12 | + | 7.16400e12i | 0.377229 | + | 1.65275i | 0.705907 | + | 0.708305i | \(0.250540\pi\) |
−0.328678 | + | 0.944442i | \(0.606603\pi\) | |||||||
\(644\) | −9.68445e9 | + | 4.24304e10i | −0.00221865 | + | 0.00972054i | ||||
\(645\) | 3.67891e12 | + | 1.77167e12i | 0.836951 | + | 0.403055i | ||||
\(646\) | −2.92703e12 | − | 3.67037e12i | −0.661272 | − | 0.829209i | ||||
\(647\) | −1.39822e12 | − | 1.75332e12i | −0.313695 | − | 0.393361i | 0.599841 | − | 0.800119i | \(-0.295231\pi\) |
−0.913536 | + | 0.406758i | \(0.866659\pi\) | |||||||
\(648\) | −3.78974e12 | + | 1.82504e12i | −0.844349 | + | 0.406617i | ||||
\(649\) | 9.31053e11 | − | 1.16750e12i | 0.206003 | − | 0.258319i | ||||
\(650\) | 2.63249e11 | 0.0578438 | ||||||||
\(651\) | −2.75538e12 | + | 3.45513e12i | −0.601266 | + | 0.753964i | ||||
\(652\) | −1.22332e11 | + | 5.35972e11i | −0.0265110 | + | 0.116152i | ||||
\(653\) | −6.77892e11 | + | 2.97004e12i | −0.145899 | + | 0.639223i | 0.848101 | + | 0.529835i | \(0.177746\pi\) |
−0.993999 | + | 0.109388i | \(0.965111\pi\) | |||||||
\(654\) | −5.10858e12 | + | 6.40595e12i | −1.09194 | + | 1.36925i | ||||
\(655\) | −5.26098e11 | −0.111681 | ||||||||
\(656\) | 3.40735e12 | − | 4.27268e12i | 0.718372 | − | 0.900810i | ||||
\(657\) | 1.10375e11 | − | 5.31540e10i | 0.0231115 | − | 0.0111299i | ||||
\(658\) | 4.18698e12 | + | 5.25031e12i | 0.870732 | + | 1.09186i | ||||
\(659\) | −2.64124e12 | − | 3.31201e12i | −0.545537 | − | 0.684081i | 0.430274 | − | 0.902698i | \(-0.358417\pi\) |
−0.975811 | + | 0.218617i | \(0.929846\pi\) | |||||||
\(660\) | 2.88277e11 | + | 1.38827e11i | 0.0591374 | + | 0.0284791i | ||||
\(661\) | 9.48376e11 | − | 4.15511e12i | 0.193230 | − | 0.846595i | −0.781624 | − | 0.623750i | \(-0.785608\pi\) |
0.974854 | − | 0.222845i | \(-0.0715345\pi\) | |||||||
\(662\) | −2.15366e12 | − | 9.43582e12i | −0.435830 | − | 1.90950i | ||||
\(663\) | −1.46979e12 | + | 7.07811e11i | −0.295422 | + | 0.142268i | ||||
\(664\) | −6.01851e12 | − | 2.89836e12i | −1.20152 | − | 0.578624i | ||||
\(665\) | 2.20195e12 | + | 9.64737e12i | 0.436626 | + | 1.91298i | ||||
\(666\) | −2.08680e11 | −0.0411004 | ||||||||
\(667\) | 9.49681e10 | − | 2.17047e11i | 0.0185785 | − | 0.0424607i | ||||
\(668\) | −1.66994e12 | −0.324494 | ||||||||
\(669\) | −1.28052e12 | − | 5.61032e12i | −0.247155 | − | 1.08286i | ||||
\(670\) | −3.58122e12 | − | 1.72462e12i | −0.686584 | − | 0.330642i | ||||
\(671\) | −6.19028e11 | + | 2.98108e11i | −0.117885 | + | 0.0567705i | ||||
\(672\) | 5.19334e11 | + | 2.27535e12i | 0.0982392 | + | 0.430414i | ||||
\(673\) | 1.29681e12 | − | 5.68168e12i | 0.243673 | − | 1.06760i | −0.693971 | − | 0.720003i | \(-0.744140\pi\) |
0.937644 | − | 0.347597i | \(-0.113002\pi\) | |||||||
\(674\) | −3.96647e12 | − | 1.91015e12i | −0.740346 | − | 0.356532i | ||||
\(675\) | −2.79964e11 | − | 3.51064e11i | −0.0519081 | − | 0.0650907i | ||||
\(676\) | −4.55286e11 | − | 5.70911e11i | −0.0838541 | − | 0.105150i | ||||
\(677\) | 2.86794e12 | − | 1.38113e12i | 0.524712 | − | 0.252688i | −0.152725 | − | 0.988269i | \(-0.548805\pi\) |
0.677437 | + | 0.735581i | \(0.263091\pi\) | |||||||
\(678\) | 5.33033e12 | − | 6.68402e12i | 0.968769 | − | 1.21480i | ||||
\(679\) | 9.61378e12 | 1.73572 | ||||||||
\(680\) | −1.64723e12 | + | 2.06556e12i | −0.295437 | + | 0.370466i | ||||
\(681\) | −1.34389e11 | + | 5.88798e11i | −0.0239443 | + | 0.104907i | ||||
\(682\) | −3.59229e11 | + | 1.57389e12i | −0.0635832 | + | 0.278576i | ||||
\(683\) | −1.96814e12 | + | 2.46797e12i | −0.346070 | + | 0.433958i | −0.924154 | − | 0.382019i | \(-0.875229\pi\) |
0.578085 | + | 0.815977i | \(0.303800\pi\) | |||||||
\(684\) | −1.92191e11 | −0.0335723 | ||||||||
\(685\) | −1.65663e12 | + | 2.07735e12i | −0.287487 | + | 0.360497i | ||||
\(686\) | 5.61986e12 | − | 2.70638e12i | 0.968873 | − | 0.466585i | ||||
\(687\) | −3.87125e10 | − | 4.85440e10i | −0.00663050 | − | 0.00831438i | ||||
\(688\) | 3.65216e12 | + | 4.57967e12i | 0.621444 | + | 0.779266i | ||||
\(689\) | 5.59474e11 | + | 2.69428e11i | 0.0945787 | + | 0.0455467i | ||||
\(690\) | −7.34416e10 | + | 3.21769e11i | −0.0123345 | + | 0.0540409i | ||||
\(691\) | −4.53690e11 | − | 1.98775e12i | −0.0757022 | − | 0.331673i | 0.922869 | − | 0.385114i | \(-0.125838\pi\) |
−0.998571 | + | 0.0534416i | \(0.982981\pi\) | |||||||
\(692\) | −8.12044e11 | + | 3.91060e11i | −0.134618 | + | 0.0648284i | ||||
\(693\) | 1.38544e11 | + | 6.67194e10i | 0.0228186 | + | 0.0109889i | ||||
\(694\) | 1.87613e12 | + | 8.21984e12i | 0.307004 | + | 1.34507i | ||||
\(695\) | 8.90419e12 | 1.44765 | ||||||||
\(696\) | −2.03678e11 | − | 5.60083e12i | −0.0329005 | − | 0.904713i | ||||
\(697\) | −3.22047e12 | −0.516859 | ||||||||
\(698\) | 2.38063e12 | + | 1.04302e13i | 0.379615 | + | 1.66320i | ||||
\(699\) | −7.09121e12 | − | 3.41495e12i | −1.12350 | − | 0.541049i | ||||
\(700\) | −1.07653e11 | + | 5.18432e10i | −0.0169468 | + | 0.00816113i | ||||
\(701\) | −1.12337e12 | − | 4.92179e12i | −0.175707 | − | 0.769825i | −0.983581 | − | 0.180469i | \(-0.942239\pi\) |
0.807873 | − | 0.589356i | \(-0.200619\pi\) | |||||||
\(702\) | 9.01951e11 | − | 3.95171e12i | 0.140174 | − | 0.614140i | ||||
\(703\) | −4.64188e12 | − | 2.23541e12i | −0.716795 | − | 0.345190i | ||||
\(704\) | −8.27048e11 | − | 1.03708e12i | −0.126898 | − | 0.159125i | ||||
\(705\) | 5.52457e12 | + | 6.92759e12i | 0.842263 | + | 1.05616i | ||||
\(706\) | 9.94339e12 | − | 4.78848e12i | 1.50631 | − | 0.725399i | ||||
\(707\) | 5.46979e12 | − | 6.85889e12i | 0.823347 | − | 1.03244i | ||||
\(708\) | −1.69187e12 | −0.253057 | ||||||||
\(709\) | 3.30021e12 | − | 4.13833e12i | 0.490494 | − | 0.615060i | −0.473562 | − | 0.880761i | \(-0.657032\pi\) |
0.964056 | + | 0.265701i | \(0.0856034\pi\) | |||||||
\(710\) | 2.56356e12 | − | 1.12317e13i | 0.378600 | − | 1.65876i | ||||
\(711\) | 7.64275e9 | − | 3.34851e10i | 0.00112160 | − | 0.00491403i | ||||
\(712\) | −4.01623e12 | + | 5.03619e12i | −0.585678 | + | 0.734417i | ||||
\(713\) | −2.89736e11 | −0.0419855 | ||||||||
\(714\) | 2.65335e12 | − | 3.32719e12i | 0.382078 | − | 0.479111i | ||||
\(715\) | 1.13173e12 | − | 5.45012e11i | 0.161944 | − | 0.0779882i | ||||
\(716\) | −3.65385e11 | − | 4.58179e11i | −0.0519568 | − | 0.0651518i | ||||
\(717\) | 7.43235e10 | + | 9.31987e10i | 0.0105024 | + | 0.0131696i | ||||
\(718\) | −2.96822e12 | − | 1.42942e12i | −0.416809 | − | 0.200724i | ||||
\(719\) | −3.72990e11 | + | 1.63418e12i | −0.0520496 | + | 0.228044i | −0.994262 | − | 0.106972i | \(-0.965885\pi\) |
0.942212 | + | 0.335016i | \(0.108742\pi\) | |||||||
\(720\) | 1.68816e11 | + | 7.39630e11i | 0.0234108 | + | 0.102569i | ||||
\(721\) | −6.24616e12 | + | 3.00799e12i | −0.860804 | + | 0.414541i | ||||
\(722\) | −1.73324e13 | − | 8.34683e12i | −2.37378 | − | 1.14315i | ||||
\(723\) | 1.93493e12 | + | 8.47747e12i | 0.263355 | + | 1.15384i | ||||
\(724\) | −6.05481e9 | −0.000818988 | ||||||||
\(725\) | 6.28450e11 | − | 1.67685e11i | 0.0844792 | − | 0.0225411i | ||||
\(726\) | −7.87944e12 | −1.05264 | ||||||||
\(727\) | −3.30792e12 | − | 1.44929e13i | −0.439188 | − | 1.92421i | −0.377205 | − | 0.926130i | \(-0.623115\pi\) |
−0.0619827 | − | 0.998077i | \(-0.519742\pi\) | |||||||
\(728\) | 3.64162e12 | + | 1.75371e12i | 0.480511 | + | 0.231402i | ||||
\(729\) | −6.17772e12 | + | 2.97503e12i | −0.810129 | + | 0.390138i | ||||
\(730\) | 5.80908e11 | + | 2.54513e12i | 0.0757102 | + | 0.331708i | ||||
\(731\) | 7.68111e11 | − | 3.36531e12i | 0.0994938 | − | 0.435911i | ||||
\(732\) | 7.01347e11 | + | 3.37751e11i | 0.0902886 | + | 0.0434807i | ||||
\(733\) | 4.63991e11 | + | 5.81826e11i | 0.0593665 | + | 0.0744432i | 0.810628 | − | 0.585561i | \(-0.199126\pi\) |
−0.751262 | + | 0.660004i | \(0.770554\pi\) | |||||||
\(734\) | −5.94864e12 | − | 7.45936e12i | −0.756459 | − | 0.948570i | ||||
\(735\) | −3.33350e11 | + | 1.60533e11i | −0.0421316 | + | 0.0202895i | ||||
\(736\) | −9.54016e10 | + | 1.19630e11i | −0.0119841 | + | 0.0150276i | ||||
\(737\) | −1.52499e12 | −0.190398 | ||||||||
\(738\) | −4.72449e11 | + | 5.92432e11i | −0.0586275 | + | 0.0735166i | ||||
\(739\) | −8.35869e11 | + | 3.66218e12i | −0.103095 | + | 0.451689i | 0.896861 | + | 0.442313i | \(0.145842\pi\) |
−0.999956 | + | 0.00937658i | \(0.997015\pi\) | |||||||
\(740\) | 1.72169e11 | − | 7.54323e11i | 0.0211064 | − | 0.0924730i | ||||
\(741\) | −5.90858e12 | + | 7.40913e12i | −0.719948 | + | 0.902787i | ||||
\(742\) | −1.61991e12 | −0.196188 | ||||||||
\(743\) | −2.74848e12 | + | 3.44649e12i | −0.330859 | + | 0.414884i | −0.919239 | − | 0.393701i | \(-0.871195\pi\) |
0.588380 | + | 0.808585i | \(0.299766\pi\) | |||||||
\(744\) | −6.17533e12 | + | 2.97388e12i | −0.738894 | + | 0.355833i | ||||
\(745\) | −2.72803e12 | − | 3.42084e12i | −0.324449 | − | 0.406846i | ||||
\(746\) | 9.91932e12 | + | 1.24384e13i | 1.17262 | + | 1.47042i | ||||
\(747\) | 1.01845e12 | + | 4.90457e11i | 0.119673 | + | 0.0576313i | ||||
\(748\) | 6.01887e10 | − | 2.63704e11i | 0.00703004 | − | 0.0308006i | ||||
\(749\) | 1.18259e12 | + | 5.18126e12i | 0.137298 | + | 0.601544i | ||||
\(750\) | 8.52069e12 | − | 4.10335e12i | 0.983330 | − | 0.473547i | ||||
\(751\) | −1.03752e13 | − | 4.99643e12i | −1.19019 | − | 0.573165i | −0.269326 | − | 0.963049i | \(-0.586801\pi\) |
−0.920864 | + | 0.389884i | \(0.872515\pi\) | |||||||
\(752\) | 2.82847e12 | + | 1.23923e13i | 0.322531 | + | 1.41310i | ||||
\(753\) | 1.33395e13 | 1.51203 | ||||||||
\(754\) | 4.72048e12 | + | 3.49154e12i | 0.531882 | + | 0.393410i | ||||
\(755\) | −1.30348e13 | −1.45996 | ||||||||
\(756\) | 4.09387e11 | + | 1.79364e12i | 0.0455812 | + | 0.199704i | ||||
\(757\) | −1.61823e12 | − | 7.79300e11i | −0.179106 | − | 0.0862528i | 0.342182 | − | 0.939634i | \(-0.388834\pi\) |
−0.521288 | + | 0.853381i | \(0.674548\pi\) | |||||||
\(758\) | 1.57114e13 | − | 7.56619e12i | 1.72863 | − | 0.832465i | ||||
\(759\) | 2.81766e10 | + | 1.23450e11i | 0.00308177 | + | 0.0135021i | ||||
\(760\) | −3.41512e12 | + | 1.49626e13i | −0.371317 | + | 1.62685i | ||||
\(761\) | 1.43307e12 | + | 6.90129e11i | 0.154894 | + | 0.0745933i | 0.509725 | − | 0.860337i | \(-0.329747\pi\) |
−0.354831 | + | 0.934931i | \(0.615461\pi\) | |||||||
\(762\) | 5.11036e11 | + | 6.40818e11i | 0.0549103 | + | 0.0688553i | ||||
\(763\) | −9.10297e12 | − | 1.14148e13i | −0.972350 | − | 1.21929i | ||||
\(764\) | −1.56976e12 | + | 7.55957e11i | −0.166692 | + | 0.0802744i | ||||
\(765\) | 2.78743e11 | − | 3.49532e11i | 0.0294257 | − | 0.0368987i | ||||
\(766\) | 1.41058e13 | 1.48036 | ||||||||
\(767\) | −4.14122e12 | + | 5.19293e12i | −0.432066 | + | 0.541793i | ||||
\(768\) | −1.35483e12 | + | 5.93588e12i | −0.140526 | + | 0.615686i | ||||
\(769\) | 5.41287e11 | − | 2.37153e12i | 0.0558161 | − | 0.244546i | −0.939322 | − | 0.343037i | \(-0.888544\pi\) |
0.995138 | + | 0.0984908i | \(0.0314015\pi\) | |||||||
\(770\) | −2.04307e12 | + | 2.56192e12i | −0.209447 | + | 0.262638i | ||||
\(771\) | 9.26537e12 | 0.944317 | ||||||||
\(772\) | 1.60317e12 | − | 2.01031e12i | 0.162443 | − | 0.203697i | ||||
\(773\) | 1.62740e13 | − | 7.83715e12i | 1.63941 | − | 0.789497i | 0.639624 | − | 0.768688i | \(-0.279090\pi\) |
0.999783 | − | 0.0208085i | \(-0.00662402\pi\) | |||||||
\(774\) | −5.06394e11 | − | 6.34998e11i | −0.0507171 | − | 0.0635972i | ||||
\(775\) | −4.95959e11 | − | 6.21913e11i | −0.0493842 | − | 0.0619258i | ||||
\(776\) | 1.34339e13 | + | 6.46944e12i | 1.32992 | + | 0.640455i | ||||
\(777\) | 1.03925e12 | − | 4.55327e12i | 0.102289 | − | 0.448156i | ||||
\(778\) | 2.57742e12 | + | 1.12924e13i | 0.252218 | + | 1.10504i | ||||
\(779\) | −1.68554e13 | + | 8.11713e12i | −1.63991 | + | 0.789740i | ||||
\(780\) | −1.28223e12 | − | 6.17488e11i | −0.124034 | − | 0.0597314i | ||||
\(781\) | −9.83535e11 | − | 4.30915e12i | −0.0945932 | − | 0.414440i | ||||
\(782\) | 2.79007e11 | 0.0266799 | ||||||||
\(783\) | −3.63961e11 | − | 1.00084e13i | −0.0346040 | − | 0.951557i | ||||
\(784\) | −5.30766e11 | −0.0501742 | ||||||||
\(785\) | 1.00626e12 | + | 4.40872e12i | 0.0945795 | + | 0.414380i | ||||
\(786\) | 1.18417e12 | + | 5.70267e11i | 0.110666 | + | 0.0532938i | ||||
\(787\) | −1.28987e13 | + | 6.21170e12i | −1.19856 | + | 0.577197i | −0.923266 | − | 0.384162i | \(-0.874490\pi\) |
−0.275296 | + | 0.961359i | \(0.588776\pi\) | |||||||
\(788\) | 4.99149e11 | + | 2.18691e12i | 0.0461171 | + | 0.202052i | ||||
\(789\) | −3.59120e12 | + | 1.57341e13i | −0.329908 | + | 1.44542i | ||||
\(790\) | 6.59421e11 | + | 3.17560e11i | 0.0602339 | + | 0.0290071i | ||||
\(791\) | 9.49811e12 | + | 1.19103e13i | 0.862667 | + | 1.08175i | ||||
\(792\) | 1.48699e11 | + | 1.86462e11i | 0.0134290 | + | 0.0168394i | ||||
\(793\) | 2.75337e12 | − | 1.32595e12i | 0.247250 | − | 0.119069i | ||||
\(794\) | 1.24638e12 | − | 1.56291e12i | 0.111291 | − | 0.139554i | ||||
\(795\) | −2.13741e12 | −0.189774 | ||||||||
\(796\) | 2.33774e12 | − | 2.93143e12i | 0.206389 | − | 0.258804i | ||||
\(797\) | −2.66676e12 | + | 1.16838e13i | −0.234111 | + | 1.02571i | 0.712080 | + | 0.702098i | \(0.247753\pi\) |
−0.946191 | + | 0.323609i | \(0.895104\pi\) | |||||||
\(798\) | 5.50104e12 | − | 2.41017e13i | 0.480211 | − | 2.10394i | ||||
\(799\) | 4.67028e12 | − | 5.85634e12i | 0.405398 | − | 0.508353i | ||||
\(800\) | −4.20088e11 | −0.0362607 | ||||||||
\(801\) | 6.79622e11 | − | 8.52219e11i | 0.0583339 | − | 0.0731484i | ||||
\(802\) | 3.69052e12 | − | 1.77726e12i | 0.314995 | − | 0.151693i | ||||
\(803\) | 6.24471e11 | + | 7.83061e11i | 0.0530020 | + | 0.0664624i | ||||
\(804\) | 1.07726e12 | + | 1.35084e12i | 0.0909215 | + | 0.114012i | ||||
\(805\) | −5.29864e11 | − | 2.55169e11i | −0.0444716 | − | 0.0214164i | ||||
\(806\) | 1.59781e12 | − | 7.00048e12i | 0.133358 | − | 0.584279i | ||||
\(807\) | 1.74822e12 | + | 7.65945e12i | 0.145099 | + | 0.635721i | ||||
\(808\) | 1.22588e13 | − | 5.90355e12i | 1.01181 | − | 0.487261i | ||||
\(809\) | 1.51717e13 | + | 7.30631e12i | 1.24528 | + | 0.599694i | 0.936242 | − | 0.351356i | \(-0.114279\pi\) |
0.309036 | + | 0.951050i | \(0.399994\pi\) | |||||||
\(810\) | 3.37515e12 | + | 1.47875e13i | 0.275493 | + | 1.20701i | ||||
\(811\) | −1.52231e13 | −1.23569 | −0.617843 | − | 0.786301i | \(-0.711993\pi\) | ||||
−0.617843 | + | 0.786301i | \(0.711993\pi\) | |||||||
\(812\) | −2.61801e12 | − | 4.98202e11i | −0.211334 | − | 0.0402164i | ||||
\(813\) | −2.08547e13 | −1.67416 | ||||||||
\(814\) | −3.79640e11 | − | 1.66331e12i | −0.0303083 | − | 0.132789i | ||||
\(815\) | −6.69313e12 | − | 3.22324e12i | −0.531398 | − | 0.255908i | ||||
\(816\) | 7.25744e12 | − | 3.49500e12i | 0.573031 | − | 0.275957i | ||||
\(817\) | −4.46204e12 | − | 1.95495e13i | −0.350376 | − | 1.53510i | ||||
\(818\) | 1.24062e12 | − | 5.43553e12i | 0.0968836 | − | 0.424475i | ||||
\(819\) | −6.16230e11 | − | 2.96761e11i | −0.0478592 | − | 0.0230478i | ||||
\(820\) | −1.75170e12 | − | 2.19656e12i | −0.135300 | − | 0.169661i | ||||
\(821\) | 3.55357e12 | + | 4.45604e12i | 0.272974 | + | 0.342298i | 0.899355 | − | 0.437218i | \(-0.144036\pi\) |
−0.626382 | + | 0.779516i | \(0.715465\pi\) | |||||||
\(822\) | 5.98059e12 | − | 2.88010e12i | 0.456900 | − | 0.220031i | ||||
\(823\) | −8.65642e11 | + | 1.08548e12i | −0.0657717 | + | 0.0824751i | −0.813629 | − | 0.581384i | \(-0.802511\pi\) |
0.747857 | + | 0.663859i | \(0.231083\pi\) | |||||||
\(824\) | −1.07523e13 | −0.812512 | ||||||||
\(825\) | −2.16751e11 | + | 2.71797e11i | −0.0162899 | + | 0.0204269i | ||||
\(826\) | 3.85559e12 | − | 1.68924e13i | 0.288191 | − | 1.26265i | ||||
\(827\) | −1.07416e11 | + | 4.70620e11i | −0.00798534 | + | 0.0349861i | −0.978764 | − | 0.204992i | \(-0.934283\pi\) |
0.970778 | + | 0.239978i | \(0.0771403\pi\) | |||||||
\(828\) | 7.12166e9 | − | 8.93028e9i | 0.000526556 | − | 0.000660280i | ||||
\(829\) | 2.02849e13 | 1.49168 | 0.745842 | − | 0.666123i | \(-0.232048\pi\) | ||||
0.745842 | + | 0.666123i | \(0.232048\pi\) | |||||||
\(830\) | −1.50187e13 | + | 1.88328e13i | −1.09845 | + | 1.37741i | ||||
\(831\) | −1.28621e12 | + | 6.19405e11i | −0.0935635 | + | 0.0450578i | ||||
\(832\) | 3.67862e12 | + | 4.61285e12i | 0.266152 | + | 0.333744i | ||||
\(833\) | 1.95013e11 | + | 2.44539e11i | 0.0140334 | + | 0.0175973i | ||||
\(834\) | −2.00421e13 | − | 9.65175e12i | −1.43448 | − | 0.690810i | ||||
\(835\) | 5.02136e12 | − | 2.20000e13i | 0.357464 | − | 1.56615i | ||||
\(836\) | −3.49643e11 | − | 1.53189e12i | −0.0247569 | − | 0.108467i | ||||
\(837\) | −1.10350e13 | + | 5.31416e12i | −0.777153 | + | 0.374257i | ||||
\(838\) | 1.90902e12 | + | 9.19336e11i | 0.133725 | + | 0.0643985i | ||||
\(839\) | −5.31977e12 | − | 2.33074e13i | −0.370650 | − | 1.62392i | −0.724956 | − | 0.688795i | \(-0.758140\pi\) |
0.354306 | − | 0.935130i | \(-0.384717\pi\) | |||||||
\(840\) | −1.39124e13 | −0.964152 | ||||||||
\(841\) | 1.34932e13 | + | 5.32841e12i | 0.930104 | + | 0.367296i | ||||
\(842\) | −5.30375e12 | −0.363646 | ||||||||
\(843\) | 1.72140e12 | + | 7.54193e12i | 0.117397 | + | 0.514350i | ||||
\(844\) | 2.78379e11 | + | 1.34060e11i | 0.0188841 | + | 0.00909409i | ||||
\(845\) | 8.89027e12 | − | 4.28133e12i | 0.599874 | − | 0.288884i | ||||
\(846\) | −3.92184e11 | − | 1.71827e12i | −0.0263223 | − | 0.115325i | ||||
\(847\) | 3.12428e12 | − | 1.36883e13i | 0.208581 | − | 0.913851i | ||||
\(848\) | −2.76255e12 | − | 1.33037e12i | −0.183454 | − | 0.0883470i | ||||
\(849\) | −8.35930e12 | − | 1.04822e13i | −0.552186 | − | 0.692419i | ||||
\(850\) | 4.77594e11 | + | 5.98884e11i | 0.0313815 | + | 0.0393511i | ||||
\(851\) | 2.75875e11 | − | 1.32854e11i | 0.0180314 | − | 0.00868345i | ||||
\(852\) | −3.12227e12 | + | 3.91520e12i | −0.202998 | + | 0.254552i | ||||
\(853\) | 7.07680e12 | 0.457684 | 0.228842 | − | 0.973464i | \(-0.426506\pi\) | ||||
0.228842 | + | 0.973464i | \(0.426506\pi\) | |||||||
\(854\) | −4.97055e12 | + | 6.23288e12i | −0.319775 | + | 0.400985i | ||||
\(855\) | 5.77903e11 | − | 2.53196e12i | 0.0369834 | − | 0.162035i | ||||
\(856\) | −1.83414e12 | + | 8.03589e12i | −0.116762 | + | 0.511567i | ||||
\(857\) | 3.45261e12 | − | 4.32943e12i | 0.218642 | − | 0.274168i | −0.660399 | − | 0.750915i | \(-0.729613\pi\) |
0.879041 | + | 0.476747i | \(0.158184\pi\) | |||||||
\(858\) | −3.13813e12 | −0.197687 | ||||||||
\(859\) | −1.15271e13 | + | 1.44545e13i | −0.722354 | + | 0.905804i | −0.998469 | − | 0.0553211i | \(-0.982382\pi\) |
0.276114 | + | 0.961125i | \(0.410953\pi\) | |||||||
\(860\) | 2.71315e12 | − | 1.30658e12i | 0.169134 | − | 0.0814506i | ||||
\(861\) | −1.05737e13 | − | 1.32590e13i | −0.655710 | − | 0.822234i | ||||
\(862\) | 1.45712e13 | + | 1.82717e13i | 0.898903 | + | 1.12719i | ||||
\(863\) | −5.27518e12 | − | 2.54039e12i | −0.323734 | − | 0.155902i | 0.264957 | − | 0.964260i | \(-0.414642\pi\) |
−0.588691 | + | 0.808358i | \(0.700357\pi\) | |||||||
\(864\) | −1.43932e12 | + | 6.30606e12i | −0.0878708 | + | 0.384987i | ||||
\(865\) | −2.71013e12 | − | 1.18739e13i | −0.164596 | − | 0.721140i | ||||
\(866\) | −2.51067e13 | + | 1.20908e13i | −1.51691 | + | 0.730505i | ||||
\(867\) | 1.13479e13 | + | 5.46488e12i | 0.682073 | + | 0.328469i | ||||
\(868\) | 7.25233e11 | + | 3.17745e12i | 0.0433649 | + | 0.189994i | ||||
\(869\) | 2.80801e11 | 0.0167036 | ||||||||
\(870\) | −1.98535e13 | − | 3.77809e12i | −1.17490 | − | 0.223581i | ||||
\(871\) | 6.78299e12 | 0.399337 | ||||||||
\(872\) | −5.03876e12 | − | 2.20762e13i | −0.295120 | − | 1.29301i | ||||
\(873\) | −2.27327e12 | − | 1.09475e12i | −0.132461 | − | 0.0637898i | ||||
\(874\) | 1.46028e12 | − | 7.03232e11i | 0.0846512 | − | 0.0407659i | ||||
\(875\) | 3.74990e12 | + | 1.64294e13i | 0.216263 | + | 0.947512i | ||||
\(876\) | 2.52509e11 | − | 1.10631e12i | 0.0144880 | − | 0.0634759i | ||||
\(877\) | 1.86265e13 | + | 8.97006e12i | 1.06325 | + | 0.512032i | 0.881924 | − | 0.471392i | \(-0.156248\pi\) |
0.181321 | + | 0.983424i | \(0.441963\pi\) | |||||||
\(878\) | −1.16066e13 | − | 1.45542e13i | −0.659141 | − | 0.826537i | ||||
\(879\) | 2.10189e13 | + | 2.63569e13i | 1.18757 | + | 1.48917i | ||||
\(880\) | −5.58820e12 | + | 2.69114e12i | −0.314123 | + | 0.151274i | ||||
\(881\) | −1.67973e13 | + | 2.10631e13i | −0.939393 | + | 1.17796i | 0.0444650 | + | 0.999011i | \(0.485842\pi\) |
−0.983858 | + | 0.178951i | \(0.942730\pi\) | |||||||
\(882\) | 7.35938e10 | 0.00409480 | ||||||||
\(883\) | −6.34089e10 | + | 7.95122e10i | −0.00351016 | + | 0.00440160i | −0.783583 | − | 0.621287i | \(-0.786610\pi\) |
0.780073 | + | 0.625688i | \(0.215182\pi\) | |||||||
\(884\) | −2.67713e11 | + | 1.17293e12i | −0.0147447 | + | 0.0646006i | ||||
\(885\) | 5.08731e12 | − | 2.22890e13i | 0.278768 | − | 1.22136i | ||||
\(886\) | 9.46188e12 | − | 1.18648e13i | 0.515852 | − | 0.646858i | ||||
\(887\) | −1.94333e13 | −1.05412 | −0.527061 | − | 0.849827i | \(-0.676706\pi\) | ||||
−0.527061 | + | 0.849827i | \(0.676706\pi\) | |||||||
\(888\) | 4.51627e12 | − | 5.66322e12i | 0.243737 | − | 0.305636i | ||||
\(889\) | −1.31588e12 | + | 6.33692e11i | −0.0706573 | + | 0.0340267i | ||||
\(890\) | 1.44824e13 | + | 1.81604e13i | 0.773725 | + | 0.970221i | ||||
\(891\) | 3.62826e12 | + | 4.54969e12i | 0.192863 | + | 0.241842i | ||||
\(892\) | −3.82367e12 | − | 1.84138e12i | −0.202227 | − | 0.0973872i | ||||
\(893\) | 9.68264e12 | − | 4.24224e13i | 0.509521 | − | 2.23236i | ||||
\(894\) | 2.43237e12 | + | 1.06569e13i | 0.127353 | + | 0.557971i | ||||
\(895\) | 7.13480e12 | − | 3.43594e12i | 0.371688 | − | 0.178995i | ||||
\(896\) | −2.12291e13 | − | 1.02234e13i | −1.10039 | − | 0.529918i | ||||
\(897\) | −1.25326e11 | − | 5.49091e11i | −0.00646363 | − | 0.0283190i | ||||
\(898\) | −1.28404e13 | −0.658925 | ||||||||
\(899\) | −6.44760e11 | − | 1.77299e13i | −0.0329215 | − | 0.905290i | ||||
\(900\) | 3.13593e10 | 0.00159322 | ||||||||
\(901\) | 4.02071e11 | + | 1.76159e12i | 0.0203255 | + | 0.0890518i | ||||
\(902\) | −5.58156e12 | − | 2.68794e12i | −0.280754 | − | 0.135204i | ||||
\(903\) | 1.63772e13 | − | 7.88685e12i | 0.819681 | − | 0.394738i | ||||
\(904\) | 5.25748e12 | + | 2.30345e13i | 0.261830 | + | 1.14715i | ||||
\(905\) | 1.82063e10 | − | 7.97670e10i | 0.000902201 | − | 0.00395280i | ||||
\(906\) | 2.93394e13 | + | 1.41291e13i | 1.44669 | + | 0.696687i | ||||
\(907\) | −5.09738e12 | − | 6.39191e12i | −0.250100 | − | 0.313616i | 0.640895 | − | 0.767629i | \(-0.278563\pi\) |
−0.890995 | + | 0.454013i | \(0.849992\pi\) | |||||||
\(908\) | 2.77701e11 | + | 3.48227e11i | 0.0135579 | + | 0.0170010i | ||||
\(909\) | −2.07443e12 | + | 9.98992e11i | −0.100777 | + | 0.0485316i | ||||
\(910\) | 9.08734e12 | − | 1.13952e13i | 0.439289 | − | 0.550851i | ||||
\(911\) | 1.23366e13 | 0.593422 | 0.296711 | − | 0.954967i | \(-0.404110\pi\) | ||||
0.296711 | + | 0.954967i | \(0.404110\pi\) | |||||||
\(912\) | 2.91751e13 | − | 3.65845e13i | 1.39648 | − | 1.75114i | ||||
\(913\) | −2.05646e12 | + | 9.00992e12i | −0.0979492 | + | 0.429143i | ||||
\(914\) | −4.12741e12 | + | 1.80834e13i | −0.195623 | + | 0.857081i | ||||
\(915\) | −6.55847e12 | + | 8.22406e12i | −0.309320 | + | 0.387875i | ||||
\(916\) | −4.57907e10 | −0.00214905 | ||||||||
\(917\) | −1.46022e12 | + | 1.83105e12i | −0.0681954 | + | 0.0855144i | ||||
\(918\) | 1.06263e13 | − | 5.11738e12i | 0.493846 | − | 0.237824i | ||||
\(919\) | −1.45478e13 | − | 1.82424e13i | −0.672787 | − | 0.843648i | 0.321881 | − | 0.946780i | \(-0.395685\pi\) |
−0.994668 | + | 0.103132i | \(0.967114\pi\) | |||||||
\(920\) | −5.68699e11 | − | 7.13126e11i | −0.0261720 | − | 0.0328187i | ||||
\(921\) | 2.86819e13 | + | 1.38125e13i | 1.31353 | + | 0.632561i | ||||
\(922\) | −5.15076e12 | + | 2.25670e13i | −0.234737 | + | 1.02845i | ||||
\(923\) | 4.37466e12 | + | 1.91666e13i | 0.198398 | + | 0.869237i | ||||
\(924\) | 1.28331e12 | − | 6.18009e11i | 0.0579172 | − | 0.0278914i | ||||
\(925\) | 7.57401e11 | + | 3.64745e11i | 0.0340164 | + | 0.0163814i | ||||
\(926\) | −8.64312e12 | − | 3.78680e13i | −0.386297 | − | 1.69248i | ||||
\(927\) | 1.81949e12 | 0.0809267 | ||||||||
\(928\) | −7.53285e12 | − | 5.57173e12i | −0.333421 | − | 0.246618i | ||||
\(929\) | 1.94074e13 | 0.854862 | 0.427431 | − | 0.904048i | \(-0.359419\pi\) | ||||
0.427431 | + | 0.904048i | \(0.359419\pi\) | |||||||
\(930\) | 5.49977e12 | + | 2.40961e13i | 0.241086 | + | 1.05626i | ||||
\(931\) | 1.63702e12 | + | 7.88349e11i | 0.0714136 | + | 0.0343910i | ||||
\(932\) | −5.22968e12 | + | 2.51848e12i | −0.227041 | + | 0.109337i | ||||
\(933\) | 9.43633e12 | + | 4.13433e13i | 0.407695 | + | 1.78623i | ||||
\(934\) | −9.77004e12 | + | 4.28053e13i | −0.420083 | + | 1.84051i | ||||
\(935\) | 3.29310e12 | + | 1.58587e12i | 0.140913 | + | 0.0678603i | ||||
\(936\) | −6.61396e11 | − | 8.29364e11i | −0.0281657 | − | 0.0353186i | ||||
\(937\) | 6.56544e12 | + | 8.23280e12i | 0.278250 | + | 0.348915i | 0.901244 | − | 0.433312i | \(-0.142655\pi\) |
−0.622994 | + | 0.782227i | \(0.714084\pi\) | |||||||
\(938\) | −1.59423e13 | + | 7.67742e12i | −0.672417 | + | 0.323819i | ||||
\(939\) | −1.83621e13 | + | 2.30253e13i | −0.770773 | + | 0.966519i | ||||
\(940\) | 6.53468e12 | 0.272991 | ||||||||
\(941\) | 1.07752e12 | − | 1.35116e12i | 0.0447992 | − | 0.0561764i | −0.758927 | − | 0.651176i | \(-0.774276\pi\) |
0.803726 | + | 0.594999i | \(0.202848\pi\) | |||||||
\(942\) | 2.51390e12 | − | 1.10141e13i | 0.104021 | − | 0.455744i | ||||
\(943\) | 2.47411e11 | − | 1.08398e12i | 0.0101886 | − | 0.0446393i | ||||
\(944\) | 2.04484e13 | − | 2.56414e13i | 0.838078 | − | 1.05092i | ||||
\(945\) | −2.48607e13 | −1.01407 | ||||||||
\(946\) | 4.14008e12 | − | 5.19150e12i | 0.168073 | − | 0.210757i | ||||
\(947\) | −1.27911e13 | + | 6.15987e12i | −0.516813 | + | 0.248884i | −0.674062 | − | 0.738675i | \(-0.735452\pi\) |
0.157249 | + | 0.987559i | \(0.449737\pi\) | |||||||
\(948\) | −1.98359e11 | − | 2.48734e11i | −0.00797652 | − | 0.0100022i | ||||
\(949\) | −2.77758e12 | − | 3.48298e12i | −0.111165 | − | 0.139397i | ||||
\(950\) | 4.00912e12 | + | 1.93069e12i | 0.159695 | + | 0.0769053i | ||||
\(951\) | −6.74259e12 | + | 2.95412e13i | −0.267310 | + | 1.17116i | ||||
\(952\) | 2.61708e12 | + | 1.14662e13i | 0.103265 | + | 0.452431i | ||||
\(953\) | −1.85005e13 | + | 8.90935e12i | −0.726548 | + | 0.349887i | −0.760326 | − | 0.649542i | \(-0.774961\pi\) |
0.0337772 | + | 0.999429i | \(0.489246\pi\) | |||||||
\(954\) | 3.83043e11 | + | 1.84464e11i | 0.0149720 | + | 0.00721014i | ||||
\(955\) | −5.23896e12 | − | 2.29534e13i | −0.203812 | − | 0.892958i | ||||
\(956\) | 8.79127e10 | 0.00340401 | ||||||||
\(957\) | −7.49159e12 | + | 1.99893e12i | −0.288716 | + | 0.0770362i | ||||
\(958\) | 1.72619e12 | 0.0662130 | ||||||||
\(959\) | 2.63201e12 | + | 1.15316e13i | 0.100486 | + | 0.440257i | ||||
\(960\) | −1.82972e13 | − | 8.81144e12i | −0.695285 | − | 0.334832i | ||||
\(961\) | 4.27273e12 | − | 2.05764e12i | 0.161603 | − | 0.0778240i | ||||
\(962\) | 1.68860e12 | + | 7.39823e12i | 0.0635679 | + | 0.278509i | ||||
\(963\) | 3.10371e11 | − | 1.35982e12i | 0.0116296 | − | 0.0509524i | ||||
\(964\) | 5.77775e12 | + | 2.78242e12i | 0.215482 | + | 0.103771i | ||||
\(965\) | 2.16635e13 | + | 2.71652e13i | 0.804184 | + | 1.00842i | ||||
\(966\) | 9.16055e11 | + | 1.14870e12i | 0.0338473 | + | 0.0424432i | ||||
\(967\) | 6.73072e12 | − | 3.24134e12i | 0.247538 | − | 0.119208i | −0.306001 | − | 0.952031i | \(-0.598991\pi\) |
0.553539 | + | 0.832823i | \(0.313277\pi\) | |||||||
\(968\) | 1.35771e13 | − | 1.70251e13i | 0.497013 | − | 0.623234i | ||||
\(969\) | −2.75750e13 | −1.00475 | ||||||||
\(970\) | 3.35232e13 | − | 4.20368e13i | 1.21583 | − | 1.52460i | ||||
\(971\) | −6.66710e12 | + | 2.92105e13i | −0.240686 | + | 1.05451i | 0.699709 | + | 0.714428i | \(0.253313\pi\) |
−0.940395 | + | 0.340085i | \(0.889544\pi\) | |||||||
\(972\) | 2.25062e11 | − | 9.86062e11i | 0.00808732 | − | 0.0354329i | ||||
\(973\) | 2.47141e13 | − | 3.09905e13i | 0.883969 | − | 1.10846i | ||||
\(974\) | −2.70006e13 | −0.961297 | ||||||||
\(975\) | 9.64085e11 | − | 1.20892e12i | 0.0341660 | − | 0.0428428i | ||||
\(976\) | −1.35955e13 | + | 6.54724e12i | −0.479590 | + | 0.230958i | ||||
\(977\) | −1.11969e13 | − | 1.40405e13i | −0.393163 | − | 0.493011i | 0.545372 | − | 0.838194i | \(-0.316388\pi\) |
−0.938535 | + | 0.345183i | \(0.887817\pi\) | |||||||
\(978\) | 1.15714e13 | + | 1.45101e13i | 0.404447 | + | 0.507161i | ||||
\(979\) | 8.02913e12 | + | 3.86662e12i | 0.279348 | + | 0.134527i | ||||
\(980\) | −6.07179e10 | + | 2.66023e11i | −0.00210281 | + | 0.00921300i | ||||
\(981\) | 8.52653e11 | + | 3.73572e12i | 0.0293942 | + | 0.128784i | ||||
\(982\) | 3.17071e13 | − | 1.52694e13i | 1.08807 | − | 0.523985i | ||||
\(983\) | 7.01206e12 | + | 3.37683e12i | 0.239527 | + | 0.115350i | 0.549797 | − | 0.835298i | \(-0.314705\pi\) |
−0.310270 | + | 0.950649i | \(0.600419\pi\) | |||||||
\(984\) | −5.85284e12 | − | 2.56430e13i | −0.199016 | − | 0.871947i | ||||
\(985\) | −3.03116e13 | −1.02600 | ||||||||
\(986\) | 6.20885e11 | + | 1.70734e13i | 0.0209201 | + | 0.575272i | ||||
\(987\) | 3.94448e13 | 1.32301 | ||||||||
\(988\) | 1.55518e12 | + | 6.81367e12i | 0.0519246 | + | 0.227497i | ||||
\(989\) | 1.07372e12 | + | 5.17076e11i | 0.0356868 | + | 0.0171858i | ||||
\(990\) | 7.74837e11 | − | 3.73142e11i | 0.0256361 | − | 0.0123457i | ||||
\(991\) | −4.20240e12 | − | 1.84119e13i | −0.138410 | − | 0.606412i | −0.995785 | − | 0.0917200i | \(-0.970764\pi\) |
0.857375 | − | 0.514692i | \(-0.172094\pi\) | |||||||
\(992\) | −2.54976e12 | + | 1.11712e13i | −0.0835983 | + | 0.366268i | ||||
\(993\) | −5.12195e13 | − | 2.46660e13i | −1.67172 | − | 0.805059i | ||||
\(994\) | −3.19759e13 | − | 4.00966e13i | −1.03893 | − | 1.30277i | ||||
\(995\) | 3.15897e13 | + | 3.96122e13i | 1.02174 | + | 1.28122i | ||||
\(996\) | 9.43367e12 | − | 4.54302e12i | 0.303748 | − | 0.146277i | ||||
\(997\) | 4.94713e12 | − | 6.20350e12i | 0.158571 | − | 0.198842i | −0.696199 | − | 0.717849i | \(-0.745127\pi\) |
0.854770 | + | 0.519007i | \(0.173698\pi\) | |||||||
\(998\) | −3.71432e13 | −1.18520 | ||||||||
\(999\) | 8.07031e12 | − | 1.01198e13i | 0.256357 | − | 0.321462i |
(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 | 29.10.d.a.7.5 | ✓ | 126 | |
29.25 | even | 7 | inner | 29.10.d.a.25.5 | yes | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.10.d.a.7.5 | ✓ | 126 | 1.1 | even | 1 | trivial | |
29.10.d.a.25.5 | yes | 126 | 29.25 | even | 7 | inner |