Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,8,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), 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: | \(8.43439568807\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.8 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.8.e.a.7.8 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −9.04432 | − | 3.29186i | −0.799412 | − | 0.290962i | −0.0901693 | − | 0.995926i | \(-0.528741\pi\) |
−0.709243 | + | 0.704964i | \(0.750963\pi\) | |||||||
\(3\) | −20.3312 | + | 42.1146i | −0.434750 | + | 0.900551i | ||||
\(4\) | −27.0904 | − | 22.7315i | −0.211644 | − | 0.177590i | ||||
\(5\) | 82.6399 | − | 468.674i | 0.295661 | − | 1.67678i | −0.368841 | − | 0.929493i | \(-0.620245\pi\) |
0.664502 | − | 0.747286i | \(-0.268644\pi\) | |||||||
\(6\) | 322.518 | − | 313.970i | 0.609571 | − | 0.593416i | ||||
\(7\) | −558.283 | + | 468.455i | −0.615192 | + | 0.516208i | −0.896288 | − | 0.443472i | \(-0.853747\pi\) |
0.281096 | + | 0.959680i | \(0.409302\pi\) | |||||||
\(8\) | 786.170 | + | 1361.69i | 0.542877 | + | 0.940290i | ||||
\(9\) | −1360.28 | − | 1712.48i | −0.621985 | − | 0.783029i | ||||
\(10\) | −2290.23 | + | 3966.80i | −0.724235 | + | 1.25441i | ||||
\(11\) | 1148.19 | + | 6511.69i | 0.260099 | + | 1.47509i | 0.782638 | + | 0.622477i | \(0.213874\pi\) |
−0.522539 | + | 0.852615i | \(0.675015\pi\) | |||||||
\(12\) | 1508.11 | − | 678.741i | 0.251941 | − | 0.113389i | ||||
\(13\) | 7649.25 | − | 2784.10i | 0.965644 | − | 0.351466i | 0.189401 | − | 0.981900i | \(-0.439345\pi\) |
0.776243 | + | 0.630434i | \(0.217123\pi\) | |||||||
\(14\) | 6591.37 | − | 2399.06i | 0.641989 | − | 0.233665i | ||||
\(15\) | 18057.9 | + | 13009.1i | 1.38149 | + | 0.995237i | ||||
\(16\) | −1841.85 | − | 10445.7i | −0.112418 | − | 0.637552i | ||||
\(17\) | −9782.26 | + | 16943.4i | −0.482912 | + | 0.836428i | −0.999807 | − | 0.0196205i | \(-0.993754\pi\) |
0.516896 | + | 0.856048i | \(0.327088\pi\) | |||||||
\(18\) | 6665.56 | + | 19966.1i | 0.269391 | + | 0.806937i | ||||
\(19\) | 8437.34 | + | 14613.9i | 0.282207 | + | 0.488797i | 0.971928 | − | 0.235278i | \(-0.0756001\pi\) |
−0.689721 | + | 0.724075i | \(0.742267\pi\) | |||||||
\(20\) | −12892.4 | + | 10818.0i | −0.360354 | + | 0.302373i | ||||
\(21\) | −8378.22 | − | 33036.1i | −0.197417 | − | 0.778433i | ||||
\(22\) | 11051.0 | − | 62673.4i | 0.221270 | − | 1.25489i | ||||
\(23\) | 49888.7 | + | 41861.6i | 0.854978 | + | 0.717411i | 0.960880 | − | 0.276965i | \(-0.0893287\pi\) |
−0.105902 | + | 0.994377i | \(0.533773\pi\) | |||||||
\(24\) | −73330.7 | + | 5424.48i | −1.08280 | + | 0.0800975i | ||||
\(25\) | −139412. | − | 50742.0i | −1.78448 | − | 0.649497i | ||||
\(26\) | −78347.1 | −0.874211 | ||||||||
\(27\) | 99776.8 | − | 22470.8i | 0.975566 | − | 0.219708i | ||||
\(28\) | 25772.8 | 0.221875 | ||||||||
\(29\) | 170386. | + | 62015.3i | 1.29730 | + | 0.472178i | 0.896116 | − | 0.443820i | \(-0.146377\pi\) |
0.401183 | + | 0.915998i | \(0.368599\pi\) | |||||||
\(30\) | −120497. | − | 177102.i | −0.814801 | − | 1.19757i | ||||
\(31\) | −55988.0 | − | 46979.5i | −0.337543 | − | 0.283232i | 0.458222 | − | 0.888838i | \(-0.348486\pi\) |
−0.795765 | + | 0.605606i | \(0.792931\pi\) | |||||||
\(32\) | 17221.0 | − | 97664.9i | 0.0929036 | − | 0.526882i | ||||
\(33\) | −297581. | − | 84035.2i | −1.44147 | − | 0.407064i | ||||
\(34\) | 144249. | − | 121039.i | 0.629415 | − | 0.528142i | ||||
\(35\) | 173416. | + | 300366.i | 0.683678 | + | 1.18416i | ||||
\(36\) | −2076.83 | + | 77313.2i | −0.00741894 | + | 0.276182i | ||||
\(37\) | 51934.0 | − | 89952.3i | 0.168556 | − | 0.291948i | −0.769356 | − | 0.638820i | \(-0.779423\pi\) |
0.937913 | + | 0.346872i | \(0.112756\pi\) | |||||||
\(38\) | −28203.0 | − | 159947.i | −0.0833783 | − | 0.472862i | ||||
\(39\) | −38267.4 | + | 378749.i | −0.103301 | + | 1.02241i | ||||
\(40\) | 703156. | − | 255928.i | 1.73717 | − | 0.632277i | ||||
\(41\) | −427049. | + | 155433.i | −0.967686 | + | 0.352209i | −0.777041 | − | 0.629450i | \(-0.783280\pi\) |
−0.190645 | + | 0.981659i | \(0.561058\pi\) | |||||||
\(42\) | −32975.1 | + | 326369.i | −0.0686773 | + | 0.679730i | ||||
\(43\) | 40840.2 | + | 231616.i | 0.0783336 | + | 0.444252i | 0.998597 | + | 0.0529524i | \(0.0168632\pi\) |
−0.920263 | + | 0.391299i | \(0.872026\pi\) | |||||||
\(44\) | 116916. | − | 202504.i | 0.206914 | − | 0.358385i | ||||
\(45\) | −915010. | + | 496009.i | −1.49686 | + | 0.811421i | ||||
\(46\) | −313407. | − | 542836.i | −0.474740 | − | 0.822274i | ||||
\(47\) | 2850.34 | − | 2391.72i | 0.00400455 | − | 0.00336022i | −0.640783 | − | 0.767722i | \(-0.721390\pi\) |
0.644788 | + | 0.764362i | \(0.276946\pi\) | |||||||
\(48\) | 477362. | + | 134804.i | 0.623022 | + | 0.175938i | ||||
\(49\) | −50777.1 | + | 287971.i | −0.0616569 | + | 0.349674i | ||||
\(50\) | 1.09385e6 | + | 917853.i | 1.23756 | + | 1.03843i | ||||
\(51\) | −514678. | − | 756456.i | −0.543300 | − | 0.798524i | ||||
\(52\) | −270508. | − | 98456.9i | −0.266789 | − | 0.0971034i | ||||
\(53\) | 1.85134e6 | 1.70813 | 0.854063 | − | 0.520169i | \(-0.174131\pi\) | ||||
0.854063 | + | 0.520169i | \(0.174131\pi\) | |||||||
\(54\) | −976384. | − | 125218.i | −0.843806 | − | 0.108215i | ||||
\(55\) | 3.14675e6 | 2.55031 | ||||||||
\(56\) | −1.07679e6 | − | 391921.i | −0.819359 | − | 0.298222i | ||||
\(57\) | −787000. | + | 58216.7i | −0.562876 | + | 0.0416376i | ||||
\(58\) | −1.33688e6 | − | 1.12177e6i | −0.899690 | − | 0.754930i | ||||
\(59\) | −390206. | + | 2.21297e6i | −0.247350 | + | 1.40279i | 0.567621 | + | 0.823290i | \(0.307864\pi\) |
−0.814971 | + | 0.579502i | \(0.803247\pi\) | |||||||
\(60\) | −193478. | − | 762904.i | −0.115639 | − | 0.455974i | ||||
\(61\) | −659537. | + | 553418.i | −0.372036 | + | 0.312175i | −0.809566 | − | 0.587028i | \(-0.800298\pi\) |
0.437530 | + | 0.899204i | \(0.355853\pi\) | |||||||
\(62\) | 351723. | + | 609202.i | 0.187426 | + | 0.324631i | ||||
\(63\) | 1.56164e6 | + | 318820.i | 0.786846 | + | 0.160640i | ||||
\(64\) | −1.15609e6 | + | 2.00240e6i | −0.551265 | + | 0.954819i | ||||
\(65\) | −672702. | − | 3.81508e6i | −0.303827 | − | 1.72309i | ||||
\(66\) | 2.41479e6 | + | 1.73964e6i | 1.03389 | + | 0.744826i | ||||
\(67\) | −1.12767e6 | + | 410437.i | −0.458057 | + | 0.166719i | −0.560735 | − | 0.827996i | \(-0.689481\pi\) |
0.102678 | + | 0.994715i | \(0.467259\pi\) | |||||||
\(68\) | 650154. | − | 236637.i | 0.250747 | − | 0.0912643i | ||||
\(69\) | −2.77728e6 | + | 1.24995e6i | −1.01777 | + | 0.458057i | ||||
\(70\) | −579668. | − | 3.28746e6i | −0.201993 | − | 1.14556i | ||||
\(71\) | −1.06466e6 | + | 1.84404e6i | −0.353025 | + | 0.611457i | −0.986778 | − | 0.162079i | \(-0.948180\pi\) |
0.633753 | + | 0.773535i | \(0.281513\pi\) | |||||||
\(72\) | 1.26245e6 | − | 3.19858e6i | 0.398613 | − | 1.00993i | ||||
\(73\) | −1.06403e6 | − | 1.84295e6i | −0.320127 | − | 0.554476i | 0.660387 | − | 0.750925i | \(-0.270392\pi\) |
−0.980514 | + | 0.196449i | \(0.937059\pi\) | |||||||
\(74\) | −765818. | + | 642597.i | −0.219692 | + | 0.184343i | ||||
\(75\) | 4.97141e6 | − | 4.83966e6i | 1.36071 | − | 1.32465i | ||||
\(76\) | 103626. | − | 587690.i | 0.0270782 | − | 0.153568i | ||||
\(77\) | −3.69144e6 | − | 3.09749e6i | −0.921465 | − | 0.773201i | ||||
\(78\) | 1.59289e6 | − | 3.29956e6i | 0.380063 | − | 0.787272i | ||||
\(79\) | −4.45698e6 | − | 1.62221e6i | −1.01706 | − | 0.370179i | −0.220919 | − | 0.975292i | \(-0.570906\pi\) |
−0.796139 | + | 0.605113i | \(0.793128\pi\) | |||||||
\(80\) | −5.04782e6 | −1.10227 | ||||||||
\(81\) | −1.08224e6 | + | 4.65892e6i | −0.226268 | + | 0.974065i | ||||
\(82\) | 4.37403e6 | 0.876059 | ||||||||
\(83\) | 1.09716e6 | + | 399334.i | 0.210619 | + | 0.0766590i | 0.445175 | − | 0.895444i | \(-0.353141\pi\) |
−0.234556 | + | 0.972103i | \(0.575364\pi\) | |||||||
\(84\) | −523993. | + | 1.08541e6i | −0.0964601 | + | 0.199810i | ||||
\(85\) | 7.13251e6 | + | 5.98489e6i | 1.25973 | + | 1.05704i | ||||
\(86\) | 393077. | − | 2.22925e6i | 0.0666397 | − | 0.377932i | ||||
\(87\) | −6.07590e6 | + | 5.91488e6i | −0.989221 | + | 0.963005i | ||||
\(88\) | −7.96421e6 | + | 6.68276e6i | −1.24581 | + | 1.04536i | ||||
\(89\) | 1.66060e6 | + | 2.87625e6i | 0.249690 | + | 0.432476i | 0.963440 | − | 0.267925i | \(-0.0863380\pi\) |
−0.713750 | + | 0.700401i | \(0.753005\pi\) | |||||||
\(90\) | 9.90844e6 | − | 1.47398e6i | 1.43270 | − | 0.213129i | ||||
\(91\) | −2.96622e6 | + | 5.13764e6i | −0.412628 | + | 0.714692i | ||||
\(92\) | −399926. | − | 2.26809e6i | −0.0535454 | − | 0.303671i | ||||
\(93\) | 3.11683e6 | − | 1.40276e6i | 0.401812 | − | 0.180840i | ||||
\(94\) | −33652.6 | + | 12248.5i | −0.00417898 | + | 0.00152103i | ||||
\(95\) | 7.54642e6 | − | 2.74667e6i | 0.903042 | − | 0.328681i | ||||
\(96\) | 3.76300e6 | + | 2.71090e6i | 0.434095 | + | 0.312726i | ||||
\(97\) | 1.26967e6 | + | 7.20063e6i | 0.141250 | + | 0.801068i | 0.970302 | + | 0.241897i | \(0.0777696\pi\) |
−0.829052 | + | 0.559172i | \(0.811119\pi\) | |||||||
\(98\) | 1.40721e6 | − | 2.43735e6i | 0.151031 | − | 0.261594i | ||||
\(99\) | 9.58931e6 | − | 1.08240e7i | 0.993263 | − | 1.12115i | ||||
\(100\) | 2.62330e6 | + | 4.54368e6i | 0.262330 | + | 0.454368i | ||||
\(101\) | 7.42167e6 | − | 6.22752e6i | 0.716766 | − | 0.601438i | −0.209723 | − | 0.977761i | \(-0.567256\pi\) |
0.926488 | + | 0.376323i | \(0.122812\pi\) | |||||||
\(102\) | 2.16476e6 | + | 8.53587e6i | 0.201981 | + | 0.796430i | ||||
\(103\) | −1.64642e6 | + | 9.33730e6i | −0.148460 | + | 0.841959i | 0.816063 | + | 0.577962i | \(0.196152\pi\) |
−0.964524 | + | 0.263997i | \(0.914959\pi\) | |||||||
\(104\) | 9.80468e6 | + | 8.22710e6i | 0.854706 | + | 0.717183i | ||||
\(105\) | −1.61755e7 | + | 1.19655e6i | −1.36363 | + | 0.100872i | ||||
\(106\) | −1.67441e7 | − | 6.09435e6i | −1.36550 | − | 0.497000i | ||||
\(107\) | −1.78479e7 | −1.40846 | −0.704229 | − | 0.709973i | \(-0.748707\pi\) | ||||
−0.704229 | + | 0.709973i | \(0.748707\pi\) | |||||||
\(108\) | −3.21379e6 | − | 1.65934e6i | −0.245490 | − | 0.126751i | ||||
\(109\) | 1.87974e7 | 1.39029 | 0.695145 | − | 0.718870i | \(-0.255340\pi\) | ||||
0.695145 | + | 0.718870i | \(0.255340\pi\) | |||||||
\(110\) | −2.84602e7 | − | 1.03587e7i | −2.03875 | − | 0.742043i | ||||
\(111\) | 2.73242e6 | + | 4.01602e6i | 0.189635 | + | 0.278718i | ||||
\(112\) | 5.92159e6 | + | 4.96880e6i | 0.398268 | + | 0.334186i | ||||
\(113\) | 1.41145e6 | − | 8.00473e6i | 0.0920219 | − | 0.521882i | −0.903597 | − | 0.428383i | \(-0.859084\pi\) |
0.995619 | − | 0.0934995i | \(-0.0298053\pi\) | |||||||
\(114\) | 7.30952e6 | + | 2.06417e6i | 0.462085 | + | 0.130490i | ||||
\(115\) | 2.37422e7 | − | 1.99221e7i | 1.45572 | − | 1.22150i | ||||
\(116\) | −3.20611e6 | − | 5.55315e6i | −0.190711 | − | 0.330321i | ||||
\(117\) | −1.51729e7 | − | 9.31206e6i | −0.875824 | − | 0.537521i | ||||
\(118\) | 1.08139e7 | − | 1.87303e7i | 0.605894 | − | 1.04944i | ||||
\(119\) | −2.47594e6 | − | 1.40417e7i | −0.134687 | − | 0.763847i | ||||
\(120\) | −3.51772e6 | + | 3.48165e7i | −0.185835 | + | 1.83929i | ||||
\(121\) | −2.27718e7 | + | 8.28826e6i | −1.16855 | + | 0.425319i | ||||
\(122\) | 7.78684e6 | − | 2.83418e6i | 0.388241 | − | 0.141308i | ||||
\(123\) | 2.13643e6 | − | 2.11452e7i | 0.103519 | − | 1.02457i | ||||
\(124\) | 448820. | + | 2.54539e6i | 0.0211396 | + | 0.119889i | ||||
\(125\) | −1.67125e7 | + | 2.89469e7i | −0.765342 | + | 1.32561i | ||||
\(126\) | −1.30745e7 | − | 8.02422e6i | −0.582274 | − | 0.357360i | ||||
\(127\) | −2.00632e7 | − | 3.47505e7i | −0.869135 | − | 1.50539i | −0.862882 | − | 0.505406i | \(-0.831343\pi\) |
−0.00625349 | − | 0.999980i | \(-0.501991\pi\) | |||||||
\(128\) | 7.32349e6 | − | 6.14514e6i | 0.308662 | − | 0.258998i | ||||
\(129\) | −1.05848e7 | − | 2.98907e6i | −0.434127 | − | 0.122595i | ||||
\(130\) | −6.47459e6 | + | 3.67192e7i | −0.258470 | + | 1.46586i | ||||
\(131\) | 3.00639e7 | + | 2.52266e7i | 1.16841 | + | 0.980414i | 0.999986 | − | 0.00530038i | \(-0.00168717\pi\) |
0.168426 | + | 0.985714i | \(0.446132\pi\) | |||||||
\(132\) | 6.15135e6 | + | 9.04103e6i | 0.232788 | + | 0.342144i | ||||
\(133\) | −1.15564e7 | − | 4.20617e6i | −0.425932 | − | 0.155027i | ||||
\(134\) | 1.15501e7 | 0.414685 | ||||||||
\(135\) | −2.28595e6 | − | 4.86198e7i | −0.0799648 | − | 1.70077i | ||||
\(136\) | −3.07621e7 | −1.04865 | ||||||||
\(137\) | 2.14430e7 | + | 7.80461e6i | 0.712465 | + | 0.259316i | 0.672723 | − | 0.739894i | \(-0.265124\pi\) |
0.0397412 | + | 0.999210i | \(0.487347\pi\) | |||||||
\(138\) | 2.92333e7 | − | 2.16247e6i | 0.946893 | − | 0.0700444i | ||||
\(139\) | 9.54259e6 | + | 8.00718e6i | 0.301380 | + | 0.252888i | 0.780918 | − | 0.624633i | \(-0.214751\pi\) |
−0.479538 | + | 0.877521i | \(0.659196\pi\) | |||||||
\(140\) | 2.12986e6 | − | 1.20790e7i | 0.0655999 | − | 0.372035i | ||||
\(141\) | 42775.4 | + | 168667.i | 0.00128507 | + | 0.00506716i | ||||
\(142\) | 1.56994e7 | − | 1.31734e7i | 0.460123 | − | 0.386089i | ||||
\(143\) | 2.69120e7 | + | 4.66129e7i | 0.769607 | + | 1.33300i | ||||
\(144\) | −1.53826e7 | + | 1.73632e7i | −0.429300 | + | 0.484574i | ||||
\(145\) | 4.31456e7 | − | 7.47304e7i | 1.17530 | − | 2.03568i | ||||
\(146\) | 3.55666e6 | + | 2.01708e7i | 0.0945817 | + | 0.536400i | ||||
\(147\) | −1.10954e7 | − | 7.99327e6i | −0.288094 | − | 0.207546i | ||||
\(148\) | −3.45166e6 | + | 1.25630e6i | −0.0875211 | + | 0.0318551i | ||||
\(149\) | 4.71967e6 | − | 1.71782e6i | 0.116885 | − | 0.0425427i | −0.282915 | − | 0.959145i | \(-0.591302\pi\) |
0.399801 | + | 0.916602i | \(0.369079\pi\) | |||||||
\(150\) | −6.08944e7 | + | 2.74062e7i | −1.47319 | + | 0.663024i | ||||
\(151\) | −2.05410e6 | − | 1.16494e7i | −0.0485515 | − | 0.275349i | 0.950861 | − | 0.309618i | \(-0.100201\pi\) |
−0.999413 | + | 0.0342683i | \(0.989090\pi\) | |||||||
\(152\) | −1.32664e7 | + | 2.29780e7i | −0.306407 | + | 0.530713i | ||||
\(153\) | 4.23219e7 | − | 6.29580e6i | 0.955311 | − | 0.142112i | ||||
\(154\) | 2.31901e7 | + | 4.01664e7i | 0.511658 | + | 0.886217i | ||||
\(155\) | −2.66449e7 | + | 2.23577e7i | −0.574716 | + | 0.482244i | ||||
\(156\) | 9.64624e6 | − | 9.39059e6i | 0.203433 | − | 0.198042i | ||||
\(157\) | 1.60206e6 | − | 9.08572e6i | 0.0330392 | − | 0.187374i | −0.963822 | − | 0.266548i | \(-0.914117\pi\) |
0.996861 | + | 0.0791734i | \(0.0252281\pi\) | |||||||
\(158\) | 3.49702e7 | + | 2.93435e7i | 0.705340 | + | 0.591851i | ||||
\(159\) | −3.76400e7 | + | 7.79684e7i | −0.742608 | + | 1.53826i | ||||
\(160\) | −4.43499e7 | − | 1.61420e7i | −0.855997 | − | 0.311558i | ||||
\(161\) | −4.74622e7 | −0.896309 | ||||||||
\(162\) | 2.51246e7 | − | 3.85742e7i | 0.464298 | − | 0.712844i | ||||
\(163\) | 1.89734e7 | 0.343154 | 0.171577 | − | 0.985171i | \(-0.445114\pi\) | ||||
0.171577 | + | 0.985171i | \(0.445114\pi\) | |||||||
\(164\) | 1.51022e7 | + | 5.49674e6i | 0.267353 | + | 0.0973087i | ||||
\(165\) | −6.39772e7 | + | 1.32524e8i | −1.10874 | + | 2.29668i | ||||
\(166\) | −8.60853e6 | − | 7.22341e6i | −0.146066 | − | 0.122564i | ||||
\(167\) | 2.50178e6 | − | 1.41883e7i | 0.0415663 | − | 0.235734i | −0.956946 | − | 0.290267i | \(-0.906256\pi\) |
0.998512 | + | 0.0545330i | \(0.0173670\pi\) | |||||||
\(168\) | 3.83981e7 | − | 3.73805e7i | 0.624780 | − | 0.608223i | ||||
\(169\) | 2.69165e6 | − | 2.25857e6i | 0.0428959 | − | 0.0359939i | ||||
\(170\) | −4.48073e7 | − | 7.76085e7i | −0.699483 | − | 1.21154i | ||||
\(171\) | 1.35489e7 | − | 3.43278e7i | 0.207214 | − | 0.525001i | ||||
\(172\) | 4.15861e6 | − | 7.20293e6i | 0.0623159 | − | 0.107934i | ||||
\(173\) | 1.33308e6 | + | 7.56029e6i | 0.0195747 | + | 0.111014i | 0.993030 | − | 0.117865i | \(-0.0376051\pi\) |
−0.973455 | + | 0.228879i | \(0.926494\pi\) | |||||||
\(174\) | 7.44233e7 | − | 3.34950e7i | 1.07099 | − | 0.482012i | ||||
\(175\) | 1.01602e8 | − | 3.69801e7i | 1.43307 | − | 0.521596i | ||||
\(176\) | 6.59041e7 | − | 2.39871e7i | 0.911209 | − | 0.331653i | ||||
\(177\) | −8.52650e7 | − | 6.14258e7i | −1.15575 | − | 0.832615i | ||||
\(178\) | −5.55081e6 | − | 3.14802e7i | −0.0737711 | − | 0.418377i | ||||
\(179\) | −1.75405e7 | + | 3.03810e7i | −0.228589 | + | 0.395929i | −0.957390 | − | 0.288797i | \(-0.906745\pi\) |
0.728801 | + | 0.684726i | \(0.240078\pi\) | |||||||
\(180\) | 3.60630e7 | + | 7.36251e6i | 0.460902 | + | 0.0940962i | ||||
\(181\) | 6.91653e7 | + | 1.19798e8i | 0.866989 | + | 1.50167i | 0.865059 | + | 0.501670i | \(0.167281\pi\) |
0.00192972 | + | 0.999998i | \(0.499386\pi\) | |||||||
\(182\) | 4.37398e7 | − | 3.67021e7i | 0.537808 | − | 0.451274i | ||||
\(183\) | −9.89776e6 | − | 3.90278e7i | −0.119387 | − | 0.470756i | ||||
\(184\) | −1.77813e7 | + | 1.00843e8i | −0.210427 | + | 1.19339i | ||||
\(185\) | −3.78665e7 | − | 3.17737e7i | −0.439697 | − | 0.368950i | ||||
\(186\) | −3.28073e7 | + | 2.42685e6i | −0.373831 | + | 0.0276533i | ||||
\(187\) | −1.21562e8 | − | 4.42449e7i | −1.35941 | − | 0.494786i | ||||
\(188\) | −131584. | −0.00144428 | ||||||||
\(189\) | −4.51771e7 | + | 5.92860e7i | −0.486745 | + | 0.638757i | ||||
\(190\) | −7.72938e7 | −0.817537 | ||||||||
\(191\) | 2.71297e6 | + | 987439.i | 0.0281726 | + | 0.0102540i | 0.356068 | − | 0.934460i | \(-0.384117\pi\) |
−0.327895 | + | 0.944714i | \(0.606339\pi\) | |||||||
\(192\) | −6.08257e7 | − | 8.93994e7i | −0.620201 | − | 0.911549i | ||||
\(193\) | 1.68294e7 | + | 1.41215e7i | 0.168507 | + | 0.141394i | 0.723141 | − | 0.690700i | \(-0.242697\pi\) |
−0.554634 | + | 0.832094i | \(0.687142\pi\) | |||||||
\(194\) | 1.22202e7 | − | 6.93044e7i | 0.120164 | − | 0.681482i | ||||
\(195\) | 1.74348e8 | + | 4.92347e7i | 1.68382 | + | 0.475500i | ||||
\(196\) | 7.92161e6 | − | 6.64702e6i | 0.0751479 | − | 0.0630566i | ||||
\(197\) | 2.35158e7 | + | 4.07306e7i | 0.219144 | + | 0.379568i | 0.954546 | − | 0.298062i | \(-0.0963403\pi\) |
−0.735403 | + | 0.677630i | \(0.763007\pi\) | |||||||
\(198\) | −1.22360e8 | + | 6.63289e7i | −1.12024 | + | 0.607260i | ||||
\(199\) | −1.64698e7 | + | 2.85265e7i | −0.148150 | + | 0.256604i | −0.930544 | − | 0.366180i | \(-0.880665\pi\) |
0.782393 | + | 0.622784i | \(0.213999\pi\) | |||||||
\(200\) | −4.05072e7 | − | 2.29728e8i | −0.358036 | − | 2.03053i | ||||
\(201\) | 5.64146e6 | − | 5.58360e7i | 0.0490010 | − | 0.484985i | ||||
\(202\) | −8.76241e7 | + | 3.18926e7i | −0.747987 | + | 0.272245i | ||||
\(203\) | −1.24175e8 | + | 4.51959e7i | −1.04183 | + | 0.379195i | ||||
\(204\) | −3.25257e6 | + | 3.21921e7i | −0.0268238 | + | 0.265487i | ||||
\(205\) | 3.75562e7 | + | 2.12992e8i | 0.304469 | + | 1.72673i | ||||
\(206\) | 4.56278e7 | − | 7.90297e7i | 0.363659 | − | 0.629876i | ||||
\(207\) | 3.82461e6 | − | 1.42377e8i | 0.0299703 | − | 1.11569i | ||||
\(208\) | −4.31705e7 | − | 7.47735e7i | −0.332633 | − | 0.576138i | ||||
\(209\) | −8.54735e7 | + | 7.17208e7i | −0.647619 | + | 0.543417i | ||||
\(210\) | 1.50236e8 | + | 4.24257e7i | 1.11945 | + | 0.316127i | ||||
\(211\) | 3.80369e7 | − | 2.15718e8i | 0.278751 | − | 1.58087i | −0.448039 | − | 0.894014i | \(-0.647877\pi\) |
0.726790 | − | 0.686860i | \(-0.241012\pi\) | |||||||
\(212\) | −5.01535e7 | − | 4.20838e7i | −0.361514 | − | 0.303347i | ||||
\(213\) | −5.60152e7 | − | 8.23291e7i | −0.397171 | − | 0.583747i | ||||
\(214\) | 1.61422e8 | + | 5.87528e7i | 1.12594 | + | 0.409808i | ||||
\(215\) | 1.11927e8 | 0.768072 | ||||||||
\(216\) | 1.09040e8 | + | 1.18199e8i | 0.736201 | + | 0.798040i | ||||
\(217\) | 5.32649e7 | 0.353860 | ||||||||
\(218\) | −1.70010e8 | − | 6.18785e7i | −1.11141 | − | 0.404522i | ||||
\(219\) | 9.92480e7 | − | 7.34166e6i | 0.638509 | − | 0.0472324i | ||||
\(220\) | −8.52466e7 | − | 7.15304e7i | −0.539756 | − | 0.452909i | ||||
\(221\) | −2.76549e7 | + | 1.56839e8i | −0.172345 | + | 0.977419i | ||||
\(222\) | −1.14927e7 | − | 4.53169e7i | −0.0704997 | − | 0.277987i | ||||
\(223\) | 1.30737e7 | − | 1.09701e7i | 0.0789460 | − | 0.0662435i | −0.602461 | − | 0.798149i | \(-0.705813\pi\) |
0.681407 | + | 0.731905i | \(0.261369\pi\) | |||||||
\(224\) | 3.61374e7 | + | 6.25919e7i | 0.214827 | + | 0.372092i | ||||
\(225\) | 1.02745e8 | + | 3.07765e8i | 0.601345 | + | 1.80128i | ||||
\(226\) | −3.91161e7 | + | 6.77510e7i | −0.225411 | + | 0.390424i | ||||
\(227\) | 9.81035e6 | + | 5.56373e7i | 0.0556665 | + | 0.315700i | 0.999908 | − | 0.0135528i | \(-0.00431412\pi\) |
−0.944242 | + | 0.329253i | \(0.893203\pi\) | |||||||
\(228\) | 2.26435e7 | + | 1.63126e7i | 0.126524 | + | 0.0911489i | ||||
\(229\) | −1.35844e8 | + | 4.94433e7i | −0.747511 | + | 0.272072i | −0.687558 | − | 0.726129i | \(-0.741317\pi\) |
−0.0599531 | + | 0.998201i | \(0.519095\pi\) | |||||||
\(230\) | −2.80313e8 | + | 1.02026e8i | −1.51913 | + | 0.552919i | ||||
\(231\) | 2.05501e8 | − | 9.24880e7i | 1.09691 | − | 0.493677i | ||||
\(232\) | 4.95067e7 | + | 2.80766e8i | 0.260289 | + | 1.47617i | ||||
\(233\) | 9.53905e7 | − | 1.65221e8i | 0.494037 | − | 0.855697i | −0.505940 | − | 0.862569i | \(-0.668854\pi\) |
0.999976 | + | 0.00687208i | \(0.00218747\pi\) | |||||||
\(234\) | 1.06574e8 | + | 1.34168e8i | 0.543746 | + | 0.684532i | ||||
\(235\) | −885384. | − | 1.53353e6i | −0.00445035 | − | 0.00770824i | ||||
\(236\) | 6.08750e7 | − | 5.10802e7i | 0.301472 | − | 0.252965i | ||||
\(237\) | 1.58934e8 | − | 1.54722e8i | 0.775531 | − | 0.754978i | ||||
\(238\) | −2.38303e7 | + | 1.35148e8i | −0.114580 | + | 0.649817i | ||||
\(239\) | 2.14523e8 | + | 1.80006e8i | 1.01644 | + | 0.852893i | 0.989176 | − | 0.146735i | \(-0.0468766\pi\) |
0.0272625 | + | 0.999628i | \(0.491321\pi\) | |||||||
\(240\) | 1.02628e8 | − | 2.12587e8i | 0.479212 | − | 0.992652i | ||||
\(241\) | −3.51690e8 | − | 1.28005e8i | −1.61845 | − | 0.589069i | −0.635368 | − | 0.772209i | \(-0.719152\pi\) |
−0.983087 | + | 0.183140i | \(0.941374\pi\) | |||||||
\(242\) | 2.33239e8 | 1.05791 | ||||||||
\(243\) | −1.74206e8 | − | 1.40300e8i | −0.778825 | − | 0.627241i | ||||
\(244\) | 3.04472e7 | 0.134178 | ||||||||
\(245\) | 1.30768e8 | + | 4.75958e7i | 0.568096 | + | 0.206770i | ||||
\(246\) | −8.89294e7 | + | 1.84211e8i | −0.380866 | + | 0.788936i | ||||
\(247\) | 1.05226e8 | + | 8.82950e7i | 0.444307 | + | 0.372818i | ||||
\(248\) | 1.99553e7 | − | 1.13172e8i | 0.0830762 | − | 0.471149i | ||||
\(249\) | −3.91245e7 | + | 3.80876e7i | −0.160602 | + | 0.156346i | ||||
\(250\) | 2.46442e8 | − | 2.06789e8i | 0.997527 | − | 0.837024i | ||||
\(251\) | −1.27098e8 | − | 2.20141e8i | −0.507320 | − | 0.878703i | −0.999964 | − | 0.00847263i | \(-0.997303\pi\) |
0.492645 | − | 0.870231i | \(-0.336030\pi\) | |||||||
\(252\) | −3.50583e7 | − | 4.41355e7i | −0.138003 | − | 0.173735i | ||||
\(253\) | −2.15308e8 | + | 3.72925e8i | −0.835870 | + | 1.44777i | ||||
\(254\) | 6.70642e7 | + | 3.80340e8i | 0.256787 | + | 1.45631i | ||||
\(255\) | −3.97064e8 | + | 1.78703e8i | −1.49958 | + | 0.674902i | ||||
\(256\) | 1.91645e8 | − | 6.97529e7i | 0.713932 | − | 0.259850i | ||||
\(257\) | −4.80108e8 | + | 1.74745e8i | −1.76430 | + | 0.642154i | −0.999996 | − | 0.00269854i | \(-0.999141\pi\) |
−0.764307 | + | 0.644852i | \(0.776919\pi\) | |||||||
\(258\) | 8.58922e7 | + | 6.18777e7i | 0.311376 | + | 0.224318i | ||||
\(259\) | 1.31447e7 | + | 7.45475e7i | 0.0470113 | + | 0.266615i | ||||
\(260\) | −6.84989e7 | + | 1.18644e8i | −0.241700 | + | 0.418637i | ||||
\(261\) | −1.25572e8 | − | 3.76141e8i | −0.437172 | − | 1.30951i | ||||
\(262\) | −1.88865e8 | − | 3.27124e8i | −0.648779 | − | 1.12372i | ||||
\(263\) | 1.68693e8 | − | 1.41550e8i | 0.571810 | − | 0.479805i | −0.310436 | − | 0.950594i | \(-0.600475\pi\) |
0.882246 | + | 0.470789i | \(0.156031\pi\) | |||||||
\(264\) | −1.19520e8 | − | 4.71278e8i | −0.399785 | − | 1.57639i | ||||
\(265\) | 1.52994e8 | − | 8.67674e8i | 0.505027 | − | 2.86415i | ||||
\(266\) | 9.06733e7 | + | 7.60839e7i | 0.295389 | + | 0.247860i | ||||
\(267\) | −1.54894e8 | + | 1.14580e7i | −0.498019 | + | 0.0368399i | ||||
\(268\) | 3.98788e7 | + | 1.45147e7i | 0.126552 | + | 0.0460613i | ||||
\(269\) | −8.65406e7 | −0.271073 | −0.135537 | − | 0.990772i | \(-0.543276\pi\) | ||||
−0.135537 | + | 0.990772i | \(0.543276\pi\) | |||||||
\(270\) | −1.39375e8 | + | 4.47258e8i | −0.430934 | + | 1.38288i | ||||
\(271\) | 2.18253e8 | 0.666144 | 0.333072 | − | 0.942901i | \(-0.391915\pi\) | ||||
0.333072 | + | 0.942901i | \(0.391915\pi\) | |||||||
\(272\) | 1.95002e8 | + | 7.09749e7i | 0.587554 | + | 0.213852i | ||||
\(273\) | −1.56063e8 | − | 2.29376e8i | −0.464227 | − | 0.682304i | ||||
\(274\) | −1.68245e8 | − | 1.41175e8i | −0.494102 | − | 0.414601i | ||||
\(275\) | 1.70345e8 | − | 9.66072e8i | 0.493928 | − | 2.80121i | ||||
\(276\) | 1.03651e8 | + | 2.92704e7i | 0.296750 | + | 0.0838006i | ||||
\(277\) | 1.09435e6 | − | 918271.i | 0.00309370 | − | 0.00259592i | −0.641239 | − | 0.767341i | \(-0.721579\pi\) |
0.644333 | + | 0.764745i | \(0.277135\pi\) | |||||||
\(278\) | −5.99477e7 | − | 1.03832e8i | −0.167346 | − | 0.289852i | ||||
\(279\) | −4.29220e6 | + | 1.59784e8i | −0.0118322 | + | 0.440472i | ||||
\(280\) | −2.72669e8 | + | 4.72277e8i | −0.742305 | + | 1.28571i | ||||
\(281\) | 7.49485e7 | + | 4.25054e8i | 0.201507 | + | 1.14280i | 0.902842 | + | 0.429973i | \(0.141477\pi\) |
−0.701335 | + | 0.712832i | \(0.747412\pi\) | |||||||
\(282\) | 168356. | − | 1.66629e6i | 0.000447050 | − | 0.00442466i | ||||
\(283\) | 1.79575e8 | − | 6.53601e7i | 0.470971 | − | 0.171419i | −0.0956211 | − | 0.995418i | \(-0.530484\pi\) |
0.566592 | + | 0.823998i | \(0.308261\pi\) | |||||||
\(284\) | 7.07598e7 | − | 2.57544e7i | 0.183304 | − | 0.0667172i | ||||
\(285\) | −3.77530e7 | + | 3.73658e8i | −0.0966037 | + | 0.956130i | ||||
\(286\) | −8.99571e7 | − | 5.10172e8i | −0.227381 | − | 1.28954i | ||||
\(287\) | 1.65601e8 | − | 2.86829e8i | 0.413500 | − | 0.716203i | ||||
\(288\) | −1.90675e8 | + | 1.03361e8i | −0.470349 | + | 0.254967i | ||||
\(289\) | 1.37842e7 | + | 2.38749e7i | 0.0335922 | + | 0.0581833i | ||||
\(290\) | −6.36225e8 | + | 5.33856e8i | −1.53185 | + | 1.28538i | ||||
\(291\) | −3.29066e8 | − | 9.29263e7i | −0.782812 | − | 0.221061i | ||||
\(292\) | −1.30681e7 | + | 7.41131e7i | −0.0307166 | + | 0.174203i | ||||
\(293\) | −1.89468e8 | − | 1.58983e8i | −0.440048 | − | 0.369244i | 0.395679 | − | 0.918389i | \(-0.370509\pi\) |
−0.835727 | + | 0.549145i | \(0.814954\pi\) | |||||||
\(294\) | 7.40379e7 | + | 1.08818e8i | 0.169918 | + | 0.249739i | ||||
\(295\) | 1.00491e9 | + | 3.65759e8i | 2.27904 | + | 0.829503i | ||||
\(296\) | 1.63316e8 | 0.366022 | ||||||||
\(297\) | 2.60886e8 | + | 6.23915e8i | 0.577833 | + | 1.38190i | ||||
\(298\) | −4.83410e7 | −0.105818 | ||||||||
\(299\) | 4.98158e8 | + | 1.81315e8i | 1.07775 | + | 0.392269i | ||||
\(300\) | −2.44690e8 | + | 1.81004e7i | −0.523229 | + | 0.0387048i | ||||
\(301\) | −1.31302e8 | − | 1.10175e8i | −0.277516 | − | 0.232864i | ||||
\(302\) | −1.97702e7 | + | 1.12123e8i | −0.0413036 | + | 0.234244i | ||||
\(303\) | 1.11378e8 | + | 4.39174e8i | 0.230012 | + | 0.906959i | ||||
\(304\) | 1.37111e8 | − | 1.15050e8i | 0.279909 | − | 0.234871i | ||||
\(305\) | 2.04868e8 | + | 3.54842e8i | 0.413452 | + | 0.716120i | ||||
\(306\) | −4.03497e8 | − | 8.23766e7i | −0.805037 | − | 0.164354i | ||||
\(307\) | 3.70781e8 | − | 6.42211e8i | 0.731362 | − | 1.26676i | −0.224939 | − | 0.974373i | \(-0.572218\pi\) |
0.956301 | − | 0.292384i | \(-0.0944485\pi\) | |||||||
\(308\) | 2.95920e7 | + | 1.67824e8i | 0.0577094 | + | 0.327286i | ||||
\(309\) | −3.59763e8 | − | 2.59177e8i | −0.693684 | − | 0.499737i | ||||
\(310\) | 3.14584e8 | − | 1.14499e8i | 0.599750 | − | 0.218291i | ||||
\(311\) | −4.12998e8 | + | 1.50319e8i | −0.778551 | + | 0.283369i | −0.700568 | − | 0.713585i | \(-0.747070\pi\) |
−0.0779827 | + | 0.996955i | \(0.524848\pi\) | |||||||
\(312\) | −5.45822e8 | + | 2.45653e8i | −1.01744 | + | 0.457911i | ||||
\(313\) | 3.61761e7 | + | 2.05165e8i | 0.0666832 | + | 0.378179i | 0.999826 | + | 0.0186725i | \(0.00594399\pi\) |
−0.933142 | + | 0.359507i | \(0.882945\pi\) | |||||||
\(314\) | −4.43984e7 | + | 7.69003e7i | −0.0809308 | + | 0.140176i | ||||
\(315\) | 2.78476e8 | − | 7.05554e8i | 0.501997 | − | 1.27187i | ||||
\(316\) | 8.38660e7 | + | 1.45260e8i | 0.149514 | + | 0.258965i | ||||
\(317\) | 7.80686e8 | − | 6.55073e8i | 1.37648 | − | 1.15500i | 0.405982 | − | 0.913881i | \(-0.366930\pi\) |
0.970495 | − | 0.241121i | \(-0.0775149\pi\) | |||||||
\(318\) | 5.97089e8 | − | 5.81265e8i | 1.04122 | − | 1.01363i | ||||
\(319\) | −2.08190e8 | + | 1.18070e9i | −0.359081 | + | 2.03645i | ||||
\(320\) | 8.42934e8 | + | 7.07306e8i | 1.43803 | + | 1.20665i | ||||
\(321\) | 3.62870e8 | − | 7.51658e8i | 0.612327 | − | 1.26839i | ||||
\(322\) | 4.29264e8 | + | 1.56239e8i | 0.716520 | + | 0.260792i | ||||
\(323\) | −3.30145e8 | −0.545125 | ||||||||
\(324\) | 1.35223e8 | − | 1.01611e8i | 0.220873 | − | 0.165972i | ||||
\(325\) | −1.20767e9 | −1.95145 | ||||||||
\(326\) | −1.71601e8 | − | 6.24578e7i | −0.274321 | − | 0.0998448i | ||||
\(327\) | −3.82175e8 | + | 7.91646e8i | −0.604428 | + | 1.25203i | ||||
\(328\) | −5.47384e8 | − | 4.59310e8i | −0.856512 | − | 0.718699i | ||||
\(329\) | −470883. | + | 2.67051e6i | −0.000728999 | + | 0.00413436i | ||||
\(330\) | 1.01488e9 | − | 9.87985e8i | 1.55459 | − | 1.51339i | ||||
\(331\) | −2.49086e8 | + | 2.09008e8i | −0.377530 | + | 0.316785i | −0.811732 | − | 0.584030i | \(-0.801475\pi\) |
0.434202 | + | 0.900816i | \(0.357030\pi\) | |||||||
\(332\) | −2.06451e7 | − | 3.57583e7i | −0.0309623 | − | 0.0536283i | ||||
\(333\) | −2.24687e8 | + | 3.34243e7i | −0.333444 | + | 0.0496030i | ||||
\(334\) | −6.93327e7 | + | 1.20088e8i | −0.101818 | + | 0.176354i | ||||
\(335\) | 9.91710e7 | + | 5.62427e8i | 0.144121 | + | 0.817352i | ||||
\(336\) | −3.29652e8 | + | 1.48364e8i | −0.474099 | + | 0.213373i | ||||
\(337\) | −6.64011e8 | + | 2.41680e8i | −0.945085 | + | 0.343983i | −0.768172 | − | 0.640244i | \(-0.778833\pi\) |
−0.176913 | + | 0.984227i | \(0.556611\pi\) | |||||||
\(338\) | −3.17791e7 | + | 1.15666e7i | −0.0447644 | + | 0.0162929i | ||||
\(339\) | 3.08420e8 | + | 2.22189e8i | 0.429975 | + | 0.309759i | ||||
\(340\) | −5.71768e7 | − | 3.24266e8i | −0.0788940 | − | 0.447430i | ||||
\(341\) | 2.41631e8 | − | 4.18518e8i | 0.329999 | − | 0.571575i | ||||
\(342\) | −2.35543e8 | + | 2.65871e8i | −0.318404 | + | 0.359401i | ||||
\(343\) | −4.06647e8 | − | 7.04333e8i | −0.544112 | − | 0.942429i | ||||
\(344\) | −2.83281e8 | + | 2.37701e8i | −0.375200 | + | 0.314830i | ||||
\(345\) | 3.56303e8 | + | 1.40494e9i | 0.467146 | + | 1.84200i | ||||
\(346\) | 1.28306e7 | − | 7.27660e7i | 0.0166525 | − | 0.0944413i | ||||
\(347\) | −6.25865e8 | − | 5.25163e8i | −0.804133 | − | 0.674747i | 0.145067 | − | 0.989422i | \(-0.453660\pi\) |
−0.949200 | + | 0.314674i | \(0.898105\pi\) | |||||||
\(348\) | 2.99053e8 | − | 2.21218e7i | 0.380383 | − | 0.0281380i | ||||
\(349\) | −3.60098e8 | − | 1.31065e8i | −0.453452 | − | 0.165043i | 0.105190 | − | 0.994452i | \(-0.466455\pi\) |
−0.558642 | + | 0.829409i | \(0.688677\pi\) | |||||||
\(350\) | −1.04065e9 | −1.29738 | ||||||||
\(351\) | 7.00657e8 | − | 4.49674e8i | 0.864829 | − | 0.555038i | ||||
\(352\) | 6.55737e8 | 0.801364 | ||||||||
\(353\) | −4.10360e8 | − | 1.49359e8i | −0.496539 | − | 0.180725i | 0.0815977 | − | 0.996665i | \(-0.473998\pi\) |
−0.578137 | + | 0.815940i | \(0.696220\pi\) | |||||||
\(354\) | 5.68958e8 | + | 8.36235e8i | 0.681662 | + | 1.00188i | ||||
\(355\) | 7.76270e8 | + | 6.51367e8i | 0.920902 | + | 0.772728i | ||||
\(356\) | 2.03952e7 | − | 1.15667e8i | 0.0239581 | − | 0.135873i | ||||
\(357\) | 6.41701e8 | + | 1.81213e8i | 0.746438 | + | 0.210790i | ||||
\(358\) | 2.58652e8 | − | 2.17035e8i | 0.297937 | − | 0.249999i | ||||
\(359\) | −1.12794e8 | − | 1.95365e8i | −0.128664 | − | 0.222852i | 0.794495 | − | 0.607270i | \(-0.207735\pi\) |
−0.923159 | + | 0.384418i | \(0.874402\pi\) | |||||||
\(360\) | −1.39476e9 | − | 8.56009e8i | −1.57558 | − | 0.966985i | ||||
\(361\) | 3.04558e8 | − | 5.27511e8i | 0.340718 | − | 0.590141i | ||||
\(362\) | −2.31195e8 | − | 1.31117e9i | −0.256152 | − | 1.45271i | ||||
\(363\) | 1.13922e8 | − | 1.12754e9i | 0.125007 | − | 1.23725i | ||||
\(364\) | 1.97143e8 | − | 7.17540e7i | 0.214252 | − | 0.0779814i | ||||
\(365\) | −9.51672e8 | + | 3.46380e8i | −1.02438 | + | 0.372845i | ||||
\(366\) | −3.89557e7 | + | 3.85562e8i | −0.0415325 | + | 0.411065i | ||||
\(367\) | 1.28246e8 | + | 7.27318e8i | 0.135429 | + | 0.768057i | 0.974560 | + | 0.224127i | \(0.0719530\pi\) |
−0.839131 | + | 0.543930i | \(0.816936\pi\) | |||||||
\(368\) | 3.45384e8 | − | 5.98223e8i | 0.361273 | − | 0.625743i | ||||
\(369\) | 8.47084e8 | + | 5.19882e8i | 0.877676 | + | 0.538657i | ||||
\(370\) | 2.37882e8 | + | 4.12023e8i | 0.244149 | + | 0.422878i | ||||
\(371\) | −1.03357e9 | + | 8.67268e8i | −1.05083 | + | 0.881748i | ||||
\(372\) | −1.16323e8 | − | 3.28490e7i | −0.117156 | − | 0.0330843i | ||||
\(373\) | 1.54415e8 | − | 8.75729e8i | 0.154066 | − | 0.873753i | −0.805568 | − | 0.592503i | \(-0.798140\pi\) |
0.959634 | − | 0.281250i | \(-0.0907491\pi\) | |||||||
\(374\) | 9.53795e8 | + | 8.00329e8i | 0.942768 | + | 0.791076i | ||||
\(375\) | −8.79300e8 | − | 1.29236e9i | −0.861049 | − | 1.26554i | ||||
\(376\) | 5.49762e6 | + | 2.00097e6i | 0.00533356 | + | 0.00194126i | ||||
\(377\) | 1.47598e9 | 1.41868 | ||||||||
\(378\) | 6.03757e8 | − | 3.87485e8i | 0.574964 | − | 0.369006i | ||||
\(379\) | −1.45027e9 | −1.36839 | −0.684195 | − | 0.729299i | \(-0.739846\pi\) | ||||
−0.684195 | + | 0.729299i | \(0.739846\pi\) | |||||||
\(380\) | −2.66871e8 | − | 9.71333e7i | −0.249494 | − | 0.0908083i | ||||
\(381\) | 1.87141e9 | − | 1.38434e8i | 1.73353 | − | 0.128235i | ||||
\(382\) | −2.12864e7 | − | 1.78614e7i | −0.0195380 | − | 0.0163943i | ||||
\(383\) | 3.77450e8 | − | 2.14063e9i | 0.343292 | − | 1.94691i | 0.0225295 | − | 0.999746i | \(-0.492828\pi\) |
0.320763 | − | 0.947160i | \(-0.396061\pi\) | |||||||
\(384\) | 1.09905e8 | + | 4.33364e8i | 0.0990505 | + | 0.390566i | ||||
\(385\) | −1.75677e9 | + | 1.47411e9i | −1.56893 | + | 1.31649i | ||||
\(386\) | −1.05724e8 | − | 1.83120e8i | −0.0935662 | − | 0.162061i | ||||
\(387\) | 3.41085e8 | − | 3.85001e8i | 0.299140 | − | 0.337655i | ||||
\(388\) | 1.29286e8 | − | 2.23929e8i | 0.112367 | − | 0.194626i | ||||
\(389\) | −2.97047e8 | − | 1.68463e9i | −0.255859 | − | 1.45105i | −0.793858 | − | 0.608104i | \(-0.791931\pi\) |
0.537998 | − | 0.842946i | \(-0.319181\pi\) | |||||||
\(390\) | −1.41478e9 | − | 1.01922e9i | −1.20771 | − | 0.870047i | ||||
\(391\) | −1.19730e9 | + | 4.35782e8i | −1.01294 | + | 0.368681i | ||||
\(392\) | −4.32046e8 | + | 1.57252e8i | −0.362267 | + | 0.131854i | ||||
\(393\) | −1.67365e9 | + | 7.53242e8i | −1.39088 | + | 0.625980i | ||||
\(394\) | −7.86051e7 | − | 4.45792e8i | −0.0647461 | − | 0.367194i | ||||
\(395\) | −1.12861e9 | + | 1.95481e9i | −0.921413 | + | 1.59593i | ||||
\(396\) | −5.05824e8 | + | 7.52463e7i | −0.409323 | + | 0.0608908i | ||||
\(397\) | 1.15338e9 | + | 1.99771e9i | 0.925137 | + | 1.60238i | 0.791341 | + | 0.611375i | \(0.209383\pi\) |
0.133796 | + | 0.991009i | \(0.457283\pi\) | |||||||
\(398\) | 2.42864e8 | − | 2.03787e8i | 0.193095 | − | 0.162026i | ||||
\(399\) | 4.12097e8 | − | 4.01175e8i | 0.324784 | − | 0.316176i | ||||
\(400\) | −2.73256e8 | + | 1.54971e9i | −0.213481 | + | 1.21071i | ||||
\(401\) | 1.77414e9 | + | 1.48868e9i | 1.37399 | + | 1.15291i | 0.971377 | + | 0.237542i | \(0.0763418\pi\) |
0.402611 | + | 0.915371i | \(0.368103\pi\) | |||||||
\(402\) | −2.34827e8 | + | 4.86427e8i | −0.180284 | + | 0.373445i | ||||
\(403\) | −5.59062e8 | − | 2.03482e8i | −0.425493 | − | 0.154867i | ||||
\(404\) | −3.42617e8 | −0.258508 | ||||||||
\(405\) | 2.09408e9 | + | 8.92228e8i | 1.56639 | + | 0.667396i | ||||
\(406\) | 1.27185e9 | 0.943183 | ||||||||
\(407\) | 6.45371e8 | + | 2.34896e8i | 0.474492 | + | 0.172701i | ||||
\(408\) | 6.25431e8 | − | 1.29553e9i | 0.455899 | − | 0.944360i | ||||
\(409\) | 1.25352e9 | + | 1.05183e9i | 0.905940 | + | 0.760174i | 0.971342 | − | 0.237685i | \(-0.0763887\pi\) |
−0.0654025 | + | 0.997859i | \(0.520833\pi\) | |||||||
\(410\) | 3.61469e8 | − | 2.04999e9i | 0.259017 | − | 1.46896i | ||||
\(411\) | −7.64650e8 | + | 7.44386e8i | −0.543271 | + | 0.528873i | ||||
\(412\) | 2.56853e8 | − | 2.15526e8i | 0.180944 | − | 0.151830i | ||||
\(413\) | −8.18831e8 | − | 1.41826e9i | −0.571964 | − | 0.990671i | ||||
\(414\) | −5.03277e8 | + | 1.27511e9i | −0.348583 | + | 0.883177i | ||||
\(415\) | 2.77827e8 | − | 4.81210e8i | 0.190812 | − | 0.330496i | ||||
\(416\) | −1.40181e8 | − | 7.95008e8i | −0.0954693 | − | 0.541433i | ||||
\(417\) | −5.31232e8 | + | 2.39087e8i | −0.358763 | + | 0.161465i | ||||
\(418\) | 1.00914e9 | − | 3.67299e8i | 0.675828 | − | 0.245981i | ||||
\(419\) | −1.01760e9 | + | 3.70375e8i | −0.675814 | + | 0.245976i | −0.657049 | − | 0.753848i | \(-0.728196\pi\) |
−0.0187648 | + | 0.999824i | \(0.505973\pi\) | |||||||
\(420\) | 4.65401e8 | + | 3.35280e8i | 0.306517 | + | 0.220818i | ||||
\(421\) | −4.49541e8 | − | 2.54948e9i | −0.293618 | − | 1.66519i | −0.672768 | − | 0.739854i | \(-0.734895\pi\) |
0.379150 | − | 0.925335i | \(-0.376216\pi\) | |||||||
\(422\) | −1.05413e9 | + | 1.82581e9i | −0.682811 | + | 1.18266i | ||||
\(423\) | −7.97304e6 | − | 1.62775e6i | −0.00512192 | − | 0.00104567i | ||||
\(424\) | 1.45547e9 | + | 2.52094e9i | 0.927303 | + | 1.60614i | ||||
\(425\) | 2.22351e9 | − | 1.86575e9i | 1.40500 | − | 1.17894i | ||||
\(426\) | 2.35603e8 | + | 9.29005e8i | 0.147655 | + | 0.582216i | ||||
\(427\) | 1.08957e8 | − | 6.17927e8i | 0.0677264 | − | 0.384096i | ||||
\(428\) | 4.83507e8 | + | 4.05710e8i | 0.298091 | + | 0.250128i | ||||
\(429\) | −2.51024e9 | + | 1.85689e8i | −1.53502 | + | 0.113550i | ||||
\(430\) | −1.01231e9 | − | 3.68450e8i | −0.614006 | − | 0.223480i | ||||
\(431\) | −2.00252e9 | −1.20478 | −0.602388 | − | 0.798203i | \(-0.705784\pi\) | ||||
−0.602388 | + | 0.798203i | \(0.705784\pi\) | |||||||
\(432\) | −4.18497e8 | − | 1.00085e9i | −0.249746 | − | 0.597275i | ||||
\(433\) | 1.99267e9 | 1.17958 | 0.589791 | − | 0.807556i | \(-0.299210\pi\) | ||||
0.589791 | + | 0.807556i | \(0.299210\pi\) | |||||||
\(434\) | −4.81745e8 | − | 1.75341e8i | −0.282880 | − | 0.102960i | ||||
\(435\) | 2.27004e9 | + | 3.33642e9i | 1.32227 | + | 1.94343i | ||||
\(436\) | −5.09229e8 | − | 4.27294e8i | −0.294246 | − | 0.246902i | ||||
\(437\) | −1.90833e8 | + | 1.08227e9i | −0.109388 | + | 0.620369i | ||||
\(438\) | −9.21798e8 | − | 2.60310e8i | −0.524175 | − | 0.148024i | ||||
\(439\) | −8.09326e8 | + | 6.79105e8i | −0.456560 | + | 0.383099i | −0.841863 | − | 0.539691i | \(-0.818541\pi\) |
0.385304 | + | 0.922790i | \(0.374097\pi\) | |||||||
\(440\) | 2.47388e9 | + | 4.28488e9i | 1.38450 | + | 2.39803i | ||||
\(441\) | 5.62218e8 | − | 3.04767e8i | 0.312154 | − | 0.169213i | ||||
\(442\) | 7.66412e8 | − | 1.32746e9i | 0.422167 | − | 0.731214i | ||||
\(443\) | 2.92936e8 | + | 1.66132e9i | 0.160088 | + | 0.907906i | 0.953985 | + | 0.299853i | \(0.0969378\pi\) |
−0.793897 | + | 0.608052i | \(0.791951\pi\) | |||||||
\(444\) | 1.72679e7 | − | 1.70908e8i | 0.00936264 | − | 0.0926662i | ||||
\(445\) | 1.48526e9 | − | 5.40589e8i | 0.798990 | − | 0.290808i | ||||
\(446\) | −1.54354e8 | + | 5.61804e7i | −0.0823847 | + | 0.0299856i | ||||
\(447\) | −2.36114e7 | + | 2.33692e8i | −0.0125039 | + | 0.123757i | ||||
\(448\) | −2.92611e8 | − | 1.65948e9i | −0.153751 | − | 0.871964i | ||||
\(449\) | 1.17286e9 | − | 2.03145e9i | 0.611482 | − | 1.05912i | −0.379509 | − | 0.925188i | \(-0.623907\pi\) |
0.990991 | − | 0.133930i | \(-0.0427596\pi\) | |||||||
\(450\) | 8.38581e7 | − | 3.12175e9i | 0.0433812 | − | 1.61493i | ||||
\(451\) | −1.50246e9 | − | 2.60234e9i | −0.771234 | − | 1.33582i | ||||
\(452\) | −2.20197e8 | + | 1.84767e8i | −0.112157 | + | 0.0941109i | ||||
\(453\) | 5.32372e8 | + | 1.50339e8i | 0.269074 | + | 0.0759849i | ||||
\(454\) | 9.44223e7 | − | 5.35495e8i | 0.0473564 | − | 0.268572i | ||||
\(455\) | 2.16275e9 | + | 1.81476e9i | 1.07638 | + | 0.903192i | ||||
\(456\) | −6.97989e8 | − | 1.02588e9i | −0.344724 | − | 0.506663i | ||||
\(457\) | 2.27304e8 | + | 8.27320e7i | 0.111404 | + | 0.0405478i | 0.397121 | − | 0.917766i | \(-0.370009\pi\) |
−0.285717 | + | 0.958314i | \(0.592232\pi\) | |||||||
\(458\) | 1.39138e9 | 0.676732 | ||||||||
\(459\) | −5.95311e8 | + | 1.91037e9i | −0.287342 | + | 0.922090i | ||||
\(460\) | −1.09605e9 | −0.525021 | ||||||||
\(461\) | −3.22009e9 | − | 1.17202e9i | −1.53079 | − | 0.557162i | −0.566975 | − | 0.823735i | \(-0.691886\pi\) |
−0.963815 | + | 0.266573i | \(0.914108\pi\) | |||||||
\(462\) | −2.16308e9 | + | 1.60009e8i | −1.02053 | + | 0.0754914i | ||||
\(463\) | 5.76008e8 | + | 4.83328e8i | 0.269709 | + | 0.226312i | 0.767604 | − | 0.640925i | \(-0.221449\pi\) |
−0.497895 | + | 0.867237i | \(0.665893\pi\) | |||||||
\(464\) | 3.33966e8 | − | 1.89401e9i | 0.155199 | − | 0.880177i | ||||
\(465\) | −3.99864e8 | − | 1.57670e9i | −0.184428 | − | 0.727217i | ||||
\(466\) | −1.40663e9 | + | 1.18030e9i | −0.643914 | + | 0.540308i | ||||
\(467\) | −1.14815e8 | − | 1.98866e8i | −0.0521663 | − | 0.0903548i | 0.838763 | − | 0.544497i | \(-0.183279\pi\) |
−0.890929 | + | 0.454142i | \(0.849946\pi\) | |||||||
\(468\) | 1.99361e8 | + | 5.97170e8i | 0.0899043 | + | 0.269301i | ||||
\(469\) | 4.37286e8 | − | 7.57401e8i | 0.195731 | − | 0.339017i | ||||
\(470\) | 2.95952e6 | + | 1.67843e7i | 0.00131486 | + | 0.00745694i | ||||
\(471\) | 3.50070e8 | + | 2.52194e8i | 0.154377 | + | 0.111214i | ||||
\(472\) | −3.32014e9 | + | 1.20843e9i | −1.45331 | + | 0.528963i | ||||
\(473\) | −1.46132e9 | + | 5.31877e8i | −0.634938 | + | 0.231098i | ||||
\(474\) | −1.94678e9 | + | 8.76168e8i | −0.839639 | + | 0.377888i | ||||
\(475\) | −4.34732e8 | − | 2.46549e9i | −0.186120 | − | 1.05554i | ||||
\(476\) | −2.52116e8 | + | 4.36678e8i | −0.107146 | + | 0.185582i | ||||
\(477\) | −2.51834e9 | − | 3.17039e9i | −1.06243 | − | 1.33751i | ||||
\(478\) | −1.34766e9 | − | 2.33421e9i | −0.564393 | − | 0.977558i | ||||
\(479\) | −1.76057e9 | + | 1.47729e9i | −0.731945 | + | 0.614174i | −0.930661 | − | 0.365883i | \(-0.880767\pi\) |
0.198716 | + | 0.980057i | \(0.436323\pi\) | |||||||
\(480\) | 1.58150e9 | − | 1.53959e9i | 0.652718 | − | 0.635420i | ||||
\(481\) | 1.46820e8 | − | 8.32657e8i | 0.0601557 | − | 0.341160i | ||||
\(482\) | 2.75942e9 | + | 2.31543e9i | 1.12242 | + | 0.941818i | ||||
\(483\) | 9.64966e8 | − | 1.99885e9i | 0.389670 | − | 0.807172i | ||||
\(484\) | 8.05303e8 | + | 2.93106e8i | 0.322850 | + | 0.117508i | ||||
\(485\) | 3.47967e9 | 1.38498 | ||||||||
\(486\) | 1.11372e9 | + | 1.84237e9i | 0.440099 | + | 0.728033i | ||||
\(487\) | 2.56009e9 | 1.00439 | 0.502196 | − | 0.864754i | \(-0.332526\pi\) | ||||
0.502196 | + | 0.864754i | \(0.332526\pi\) | |||||||
\(488\) | −1.27209e9 | − | 4.63003e8i | −0.495505 | − | 0.180349i | ||||
\(489\) | −3.85753e8 | + | 7.99058e8i | −0.149186 | + | 0.309028i | ||||
\(490\) | −1.02603e9 | − | 8.60944e8i | −0.393981 | − | 0.330589i | ||||
\(491\) | −8.32972e8 | + | 4.72402e9i | −0.317574 | + | 1.80105i | 0.239834 | + | 0.970814i | \(0.422907\pi\) |
−0.557408 | + | 0.830238i | \(0.688204\pi\) | |||||||
\(492\) | −5.38539e8 | + | 5.24266e8i | −0.203863 | + | 0.198461i | ||||
\(493\) | −2.71750e9 | + | 2.28026e9i | −1.02142 | + | 0.857077i | ||||
\(494\) | −6.61041e8 | − | 1.14496e9i | −0.246708 | − | 0.427312i | ||||
\(495\) | −4.28046e9 | − | 5.38875e9i | −1.58625 | − | 1.99696i | ||||
\(496\) | −3.87610e8 | + | 6.71361e8i | −0.142629 | + | 0.247042i | ||||
\(497\) | −2.69469e8 | − | 1.52824e9i | −0.0984605 | − | 0.558397i | ||||
\(498\) | 4.79233e8 | − | 2.15684e8i | 0.173878 | − | 0.0782555i | ||||
\(499\) | 2.27849e9 | − | 8.29304e8i | 0.820911 | − | 0.298787i | 0.102788 | − | 0.994703i | \(-0.467224\pi\) |
0.718123 | + | 0.695916i | \(0.245002\pi\) | |||||||
\(500\) | 1.11075e9 | − | 4.04281e8i | 0.397395 | − | 0.144640i | ||||
\(501\) | 5.46670e8 | + | 3.93827e8i | 0.194220 | + | 0.139918i | ||||
\(502\) | 4.24844e8 | + | 2.40941e9i | 0.149888 | + | 0.850057i | ||||
\(503\) | 2.83625e8 | − | 4.91252e8i | 0.0993701 | − | 0.172114i | −0.812054 | − | 0.583582i | \(-0.801651\pi\) |
0.911424 | + | 0.411468i | \(0.134984\pi\) | |||||||
\(504\) | 7.93584e8 | + | 2.37711e9i | 0.276113 | + | 0.827071i | ||||
\(505\) | −2.30535e9 | − | 3.99299e9i | −0.796558 | − | 1.37968i | ||||
\(506\) | 3.17493e9 | − | 2.66408e9i | 1.08945 | − | 0.914157i | ||||
\(507\) | 4.03940e7 | + | 1.59277e8i | 0.0137654 | + | 0.0542783i | ||||
\(508\) | −2.46412e8 | + | 1.39747e9i | −0.0833948 | + | 0.472955i | ||||
\(509\) | −1.36830e9 | − | 1.14814e9i | −0.459905 | − | 0.385906i | 0.383191 | − | 0.923669i | \(-0.374825\pi\) |
−0.843096 | + | 0.537763i | \(0.819270\pi\) | |||||||
\(510\) | 4.17944e9 | − | 3.09165e8i | 1.39515 | − | 0.103204i | ||||
\(511\) | 1.45736e9 | + | 5.30437e8i | 0.483164 | + | 0.175857i | ||||
\(512\) | −3.18661e9 | −1.04926 | ||||||||
\(513\) | 1.17024e9 | + | 1.26853e9i | 0.382704 | + | 0.414850i | ||||
\(514\) | 4.91749e9 | 1.59725 | ||||||||
\(515\) | 4.24009e9 | + | 1.54327e9i | 1.36789 | + | 0.497870i | ||||
\(516\) | 2.18799e8 | + | 3.21583e8i | 0.0701086 | + | 0.103043i | ||||
\(517\) | 1.88468e7 | + | 1.58144e7i | 0.00599821 | + | 0.00503310i | ||||
\(518\) | 1.26515e8 | − | 7.17502e8i | 0.0399933 | − | 0.226813i | ||||
\(519\) | −3.45502e8 | − | 9.75677e7i | −0.108484 | − | 0.0306352i | ||||
\(520\) | 4.66608e9 | − | 3.91531e9i | 1.45526 | − | 1.22111i | ||||
\(521\) | 3.03435e8 | + | 5.25565e8i | 0.0940013 | + | 0.162815i | 0.909191 | − | 0.416379i | \(-0.136701\pi\) |
−0.815190 | + | 0.579194i | \(0.803368\pi\) | |||||||
\(522\) | −1.02489e8 | + | 3.81530e9i | −0.0315377 | + | 1.17404i | ||||
\(523\) | −1.95781e8 | + | 3.39103e8i | −0.0598432 | + | 0.103651i | −0.894395 | − | 0.447278i | \(-0.852393\pi\) |
0.834552 | + | 0.550930i | \(0.185727\pi\) | |||||||
\(524\) | −2.41003e8 | − | 1.36680e9i | −0.0731751 | − | 0.414997i | ||||
\(525\) | −5.08290e8 | + | 5.03077e9i | −0.153304 | + | 1.51732i | ||||
\(526\) | −1.99167e9 | + | 7.24910e8i | −0.596717 | + | 0.217187i | ||||
\(527\) | 1.34368e9 | − | 4.89060e8i | 0.399907 | − | 0.145554i | ||||
\(528\) | −3.29703e8 | + | 3.26321e9i | −0.0974773 | + | 0.964776i | ||||
\(529\) | 1.45248e8 | + | 8.23742e8i | 0.0426594 | + | 0.241934i | ||||
\(530\) | −4.23999e9 | + | 7.34388e9i | −1.23708 | + | 2.14269i | ||||
\(531\) | 4.32047e9 | − | 2.34204e9i | 1.25228 | − | 0.678834i | ||||
\(532\) | 2.17454e8 | + | 3.76641e8i | 0.0626147 | + | 0.108452i | ||||
\(533\) | −2.83386e9 | + | 2.37789e9i | −0.810651 | + | 0.680217i | ||||
\(534\) | 1.43863e9 | + | 4.06261e8i | 0.408841 | + | 0.115454i | ||||
\(535\) | −1.47495e9 | + | 8.36485e9i | −0.416427 | + | 2.36167i | ||||
\(536\) | −1.44542e9 | − | 1.21286e9i | −0.405433 | − | 0.340198i | ||||
\(537\) | −9.22865e8 | − | 1.35639e9i | −0.257175 | − | 0.377986i | ||||
\(538\) | 7.82701e8 | + | 2.84880e8i | 0.216699 | + | 0.0788721i | ||||
\(539\) | −1.93348e9 | −0.531838 | ||||||||
\(540\) | −1.04328e9 | + | 1.36909e9i | −0.285115 | + | 0.374158i | ||||
\(541\) | −2.13678e9 | −0.580188 | −0.290094 | − | 0.956998i | \(-0.593687\pi\) | ||||
−0.290094 | + | 0.956998i | \(0.593687\pi\) | |||||||
\(542\) | −1.97395e9 | − | 7.18460e8i | −0.532524 | − | 0.193823i | ||||
\(543\) | −6.45146e9 | + | 4.77233e8i | −1.72925 | + | 0.127918i | ||||
\(544\) | 1.48631e9 | + | 1.24716e9i | 0.395835 | + | 0.332145i | ||||
\(545\) | 1.55342e9 | − | 8.80986e9i | 0.411055 | − | 2.33121i | ||||
\(546\) | 6.56409e8 | + | 2.58828e9i | 0.172584 | + | 0.680515i | ||||
\(547\) | 4.25584e9 | − | 3.57108e9i | 1.11181 | − | 0.932918i | 0.113646 | − | 0.993521i | \(-0.463747\pi\) |
0.998162 | + | 0.0606035i | \(0.0193025\pi\) | |||||||
\(548\) | −4.03488e8 | − | 6.98862e8i | −0.104737 | − | 0.181409i | ||||
\(549\) | 1.84488e9 | + | 3.76643e8i | 0.475843 | + | 0.0971465i | ||||
\(550\) | −4.72082e9 | + | 8.17671e9i | −1.20990 | + | 2.09560i | ||||
\(551\) | 5.31316e8 | + | 3.01324e9i | 0.135308 | + | 0.767368i | ||||
\(552\) | −3.88545e9 | − | 2.79912e9i | −0.983228 | − | 0.708328i | ||||
\(553\) | 3.24818e9 | − | 1.18224e9i | 0.816775 | − | 0.297282i | ||||
\(554\) | −1.29205e7 | + | 4.70267e6i | −0.00322846 | + | 0.00117506i | ||||
\(555\) | 2.10801e9 | − | 9.48732e8i | 0.523416 | − | 0.235569i | ||||
\(556\) | −7.64969e7 | − | 4.33836e8i | −0.0188748 | − | 0.107044i | ||||
\(557\) | 3.35190e9 | − | 5.80565e9i | 0.821859 | − | 1.42350i | −0.0824372 | − | 0.996596i | \(-0.526270\pi\) |
0.904296 | − | 0.426905i | \(-0.140396\pi\) | |||||||
\(558\) | 5.64807e8 | − | 1.43101e9i | 0.137620 | − | 0.348676i | ||||
\(559\) | 9.57239e8 | + | 1.65799e9i | 0.231782 | + | 0.401457i | ||||
\(560\) | 2.81811e9 | − | 2.36467e9i | 0.678109 | − | 0.569001i | ||||
\(561\) | 4.33486e9 | − | 4.21998e9i | 1.03658 | − | 1.00911i | ||||
\(562\) | 7.21361e8 | − | 4.09104e9i | 0.171426 | − | 0.972203i | ||||
\(563\) | 3.53059e8 | + | 2.96251e8i | 0.0833811 | + | 0.0699651i | 0.683526 | − | 0.729927i | \(-0.260446\pi\) |
−0.600144 | + | 0.799892i | \(0.704890\pi\) | |||||||
\(564\) | 2.67527e6 | − | 5.54162e6i | 0.000627900 | − | 0.00130065i | ||||
\(565\) | −3.63497e9 | − | 1.32302e9i | −0.847874 | − | 0.308601i | ||||
\(566\) | −1.83929e9 | −0.426377 | ||||||||
\(567\) | −1.57830e9 | − | 3.10797e9i | −0.363621 | − | 0.716039i | ||||
\(568\) | −3.34800e9 | −0.766596 | ||||||||
\(569\) | 5.00513e9 | + | 1.82172e9i | 1.13900 | + | 0.414561i | 0.841551 | − | 0.540178i | \(-0.181643\pi\) |
0.297445 | + | 0.954739i | \(0.403865\pi\) | |||||||
\(570\) | 1.57148e9 | − | 3.25520e9i | 0.355424 | − | 0.736234i | ||||
\(571\) | −9.81547e8 | − | 8.23616e8i | −0.220640 | − | 0.185139i | 0.525767 | − | 0.850629i | \(-0.323778\pi\) |
−0.746407 | + | 0.665490i | \(0.768223\pi\) | |||||||
\(572\) | 3.30527e8 | − | 1.87451e9i | 0.0738449 | − | 0.418795i | ||||
\(573\) | −9.67435e7 | + | 9.41797e7i | −0.0214823 | + | 0.0209130i | ||||
\(574\) | −2.44195e9 | + | 2.04904e9i | −0.538945 | + | 0.452228i | ||||
\(575\) | −4.83097e9 | − | 8.36748e9i | −1.05973 | − | 1.83551i | ||||
\(576\) | 5.00168e9 | − | 7.44049e8i | 1.09053 | − | 0.162227i | ||||
\(577\) | 6.17263e8 | − | 1.06913e9i | 0.133769 | − | 0.231694i | −0.791358 | − | 0.611353i | \(-0.790625\pi\) |
0.925126 | + | 0.379659i | \(0.123959\pi\) | |||||||
\(578\) | −4.60756e7 | − | 2.61307e8i | −0.00992483 | − | 0.0562865i | ||||
\(579\) | −9.36886e8 | + | 4.21655e8i | −0.200591 | + | 0.0902781i | ||||
\(580\) | −2.86757e9 | + | 1.04371e9i | −0.610261 | + | 0.222117i | ||||
\(581\) | −7.99596e8 | + | 2.91029e8i | −0.169143 | + | 0.0615631i | ||||
\(582\) | 2.67027e9 | + | 1.92369e9i | 0.561469 | + | 0.404488i | ||||
\(583\) | 2.12568e9 | + | 1.20553e10i | 0.444281 | + | 2.51965i | ||||
\(584\) | 1.67301e9 | − | 2.89774e9i | 0.347579 | − | 0.602024i | ||||
\(585\) | −5.61820e9 | + | 6.34158e9i | −1.16025 | + | 1.30964i | ||||
\(586\) | 1.19026e9 | + | 2.06160e9i | 0.244344 | + | 0.423216i | ||||
\(587\) | −3.98986e9 | + | 3.34789e9i | −0.814188 | + | 0.683185i | −0.951603 | − | 0.307329i | \(-0.900565\pi\) |
0.137415 | + | 0.990513i | \(0.456120\pi\) | |||||||
\(588\) | 1.18881e8 | + | 4.68757e8i | 0.0241152 | + | 0.0950884i | ||||
\(589\) | 2.14164e8 | − | 1.21459e9i | 0.0431860 | − | 0.244920i | ||||
\(590\) | −7.88474e9 | − | 6.61608e9i | −1.58054 | − | 1.32623i | ||||
\(591\) | −2.19346e9 | + | 1.62257e8i | −0.437093 | + | 0.0323330i | ||||
\(592\) | −1.03526e9 | − | 3.76806e8i | −0.205081 | − | 0.0746434i | ||||
\(593\) | 2.73328e8 | 0.0538261 | 0.0269131 | − | 0.999638i | \(-0.491432\pi\) | ||||
0.0269131 | + | 0.999638i | \(0.491432\pi\) | |||||||
\(594\) | −3.05689e8 | − | 6.50168e9i | −0.0598449 | − | 1.27284i | ||||
\(595\) | −6.78561e9 | −1.32062 | ||||||||
\(596\) | −1.66906e8 | − | 6.07490e7i | −0.0322932 | − | 0.0117538i | ||||
\(597\) | −8.66533e8 | − | 1.27360e9i | −0.166677 | − | 0.244976i | ||||
\(598\) | −3.90863e9 | − | 3.27973e9i | −0.747431 | − | 0.627169i | ||||
\(599\) | −5.43963e8 | + | 3.08497e9i | −0.103413 | + | 0.586485i | 0.888429 | + | 0.459014i | \(0.151797\pi\) |
−0.991842 | + | 0.127471i | \(0.959314\pi\) | |||||||
\(600\) | 1.04985e10 | + | 2.96470e9i | 1.98425 | + | 0.560340i | ||||
\(601\) | −1.57067e8 | + | 1.31795e8i | −0.0295137 | + | 0.0247650i | −0.657425 | − | 0.753520i | \(-0.728354\pi\) |
0.627911 | + | 0.778285i | \(0.283910\pi\) | |||||||
\(602\) | 8.24854e8 | + | 1.42869e9i | 0.154095 | + | 0.266901i | ||||
\(603\) | 2.23681e9 | + | 1.37280e9i | 0.415450 | + | 0.254975i | ||||
\(604\) | −2.09162e8 | + | 3.62280e8i | −0.0386237 | + | 0.0668982i | ||||
\(605\) | 2.00263e9 | + | 1.13575e10i | 0.367670 | + | 2.08516i | ||||
\(606\) | 4.38363e8 | − | 4.33867e9i | 0.0800165 | − | 0.791959i | ||||
\(607\) | 8.01974e9 | − | 2.91895e9i | 1.45546 | − | 0.529744i | 0.511349 | − | 0.859373i | \(-0.329146\pi\) |
0.944110 | + | 0.329629i | \(0.106924\pi\) | |||||||
\(608\) | 1.57256e9 | − | 5.72367e8i | 0.283757 | − | 0.103279i | ||||
\(609\) | 6.21217e8 | − | 6.14846e9i | 0.111451 | − | 1.10308i | ||||
\(610\) | −6.84802e8 | − | 3.88370e9i | −0.122155 | − | 0.692774i | ||||
\(611\) | 1.51442e7 | − | 2.62305e7i | 0.00268597 | − | 0.00465224i | ||||
\(612\) | −1.28963e9 | − | 7.91486e8i | −0.227423 | − | 0.139577i | ||||
\(613\) | 7.64294e7 | + | 1.32380e8i | 0.0134014 | + | 0.0232118i | 0.872648 | − | 0.488349i | \(-0.162401\pi\) |
−0.859247 | + | 0.511561i | \(0.829067\pi\) | |||||||
\(614\) | −5.46752e9 | + | 4.58780e9i | −0.953238 | + | 0.799862i | ||||
\(615\) | −9.73363e9 | − | 2.74872e9i | −1.68738 | − | 0.476505i | ||||
\(616\) | 1.31571e9 | − | 7.46174e9i | 0.226791 | − | 1.28620i | ||||
\(617\) | 3.62446e9 | + | 3.04128e9i | 0.621219 | + | 0.521265i | 0.898186 | − | 0.439615i | \(-0.144885\pi\) |
−0.276968 | + | 0.960879i | \(0.589329\pi\) | |||||||
\(618\) | 2.40064e9 | + | 3.52837e9i | 0.409135 | + | 0.601332i | ||||
\(619\) | 1.23431e9 | + | 4.49250e8i | 0.209173 | + | 0.0761327i | 0.444482 | − | 0.895788i | \(-0.353388\pi\) |
−0.235309 | + | 0.971921i | \(0.575610\pi\) | |||||||
\(620\) | 1.23005e9 | 0.207277 | ||||||||
\(621\) | 5.91840e9 | + | 3.05578e9i | 0.991708 | + | 0.512036i | ||||
\(622\) | 4.23012e9 | 0.704833 | ||||||||
\(623\) | −2.27448e9 | − | 8.27842e8i | −0.376854 | − | 0.137164i | ||||
\(624\) | 4.02677e9 | − | 2.97872e8i | 0.663454 | − | 0.0490776i | ||||
\(625\) | 3.30661e9 | + | 2.77457e9i | 0.541755 | + | 0.454586i | ||||
\(626\) | 3.48186e8 | − | 1.97466e9i | 0.0567285 | − | 0.321724i | ||||
\(627\) | −1.28271e9 | − | 5.05786e9i | −0.207823 | − | 0.819465i | ||||
\(628\) | −2.49933e8 | + | 2.09718e8i | −0.0402684 | + | 0.0337892i | ||||
\(629\) | 1.01606e9 | + | 1.75987e9i | 0.162796 | + | 0.281971i | ||||
\(630\) | −4.84122e9 | + | 5.46455e9i | −0.771370 | + | 0.870688i | ||||
\(631\) | 1.85172e9 | − | 3.20728e9i | 0.293409 | − | 0.508199i | −0.681204 | − | 0.732093i | \(-0.738544\pi\) |
0.974614 | + | 0.223894i | \(0.0718769\pi\) | |||||||
\(632\) | −1.29500e9 | − | 7.34433e9i | −0.204062 | − | 1.15729i | ||||
\(633\) | 8.31154e9 | + | 5.98772e9i | 1.30247 | + | 0.938314i | ||||
\(634\) | −9.21718e9 | + | 3.35478e9i | −1.43643 | + | 0.522819i | ||||
\(635\) | −1.79447e10 | + | 6.53133e9i | −2.78117 | + | 1.01226i | ||||
\(636\) | 2.79202e9 | − | 1.25658e9i | 0.430347 | − | 0.193682i | ||||
\(637\) | 4.13334e8 | + | 2.34413e9i | 0.0633597 | + | 0.359331i | ||||
\(638\) | 5.76965e9 | − | 9.99332e9i | 0.879583 | − | 1.52348i | ||||
\(639\) | 4.60612e9 | − | 6.85205e8i | 0.698364 | − | 0.103889i | ||||
\(640\) | −2.27486e9 | − | 3.94016e9i | −0.343023 | − | 0.594134i | ||||
\(641\) | 4.10853e9 | − | 3.44747e9i | 0.616146 | − | 0.517008i | −0.280443 | − | 0.959871i | \(-0.590482\pi\) |
0.896589 | + | 0.442863i | \(0.146037\pi\) | |||||||
\(642\) | −5.75626e9 | + | 5.60371e9i | −0.858555 | + | 0.835802i | ||||
\(643\) | 3.40206e7 | − | 1.92940e8i | 0.00504665 | − | 0.0286210i | −0.982180 | − | 0.187940i | \(-0.939819\pi\) |
0.987227 | + | 0.159319i | \(0.0509300\pi\) | |||||||
\(644\) | 1.28577e9 | + | 1.07889e9i | 0.189698 | + | 0.159176i | ||||
\(645\) | −2.27562e9 | + | 4.71378e9i | −0.333919 | + | 0.691688i | ||||
\(646\) | 2.98594e9 | + | 1.08679e9i | 0.435779 | + | 0.158611i | ||||
\(647\) | 5.19682e9 | 0.754349 | 0.377175 | − | 0.926142i | \(-0.376896\pi\) | ||||
0.377175 | + | 0.926142i | \(0.376896\pi\) | |||||||
\(648\) | −7.19481e9 | + | 2.18904e9i | −1.03874 | + | 0.316039i | ||||
\(649\) | −1.48582e10 | −2.13358 | ||||||||
\(650\) | 1.09226e10 | + | 3.97549e9i | 1.56001 | + | 0.567798i | ||||
\(651\) | −1.08294e9 | + | 2.24323e9i | −0.153841 | + | 0.318669i | ||||
\(652\) | −5.13997e8 | − | 4.31295e8i | −0.0726263 | − | 0.0609407i | ||||
\(653\) | −1.11094e9 | + | 6.30045e9i | −0.156133 | + | 0.885473i | 0.801610 | + | 0.597847i | \(0.203977\pi\) |
−0.957743 | + | 0.287626i | \(0.907134\pi\) | |||||||
\(654\) | 6.06250e9 | − | 5.90183e9i | 0.847480 | − | 0.825020i | ||||
\(655\) | 1.43075e10 | − | 1.20054e10i | 1.98939 | − | 1.66930i | ||||
\(656\) | 2.41016e9 | + | 4.17452e9i | 0.333336 | + | 0.577356i | ||||
\(657\) | −1.70864e9 | + | 4.32905e9i | −0.235057 | + | 0.595545i | ||||
\(658\) | 1.30498e7 | − | 2.26028e7i | 0.00178571 | − | 0.00309295i | ||||
\(659\) | −4.86961e8 | − | 2.76170e9i | −0.0662820 | − | 0.375904i | −0.999847 | − | 0.0174956i | \(-0.994431\pi\) |
0.933565 | − | 0.358408i | \(-0.116680\pi\) | |||||||
\(660\) | 4.74564e9 | − | 2.13583e9i | 0.642527 | − | 0.289176i | ||||
\(661\) | −9.56276e9 | + | 3.48056e9i | −1.28789 | + | 0.468753i | −0.893033 | − | 0.449991i | \(-0.851427\pi\) |
−0.394855 | + | 0.918744i | \(0.629205\pi\) | |||||||
\(662\) | 2.94084e9 | − | 1.07038e9i | 0.393974 | − | 0.143395i | ||||
\(663\) | −6.04295e9 | − | 4.35340e9i | −0.805289 | − | 0.580138i | ||||
\(664\) | 3.18788e8 | + | 1.80793e9i | 0.0422584 | + | 0.239659i | ||||
\(665\) | −2.92634e9 | + | 5.06857e9i | −0.385877 | + | 0.668359i | ||||
\(666\) | 2.14217e9 | + | 4.37337e8i | 0.280991 | + | 0.0573662i | ||||
\(667\) | 5.90426e9 | + | 1.02265e10i | 0.770415 | + | 1.33440i | ||||
\(668\) | −3.90296e8 | + | 3.27497e8i | −0.0506613 | + | 0.0425098i | ||||
\(669\) | 1.96198e8 | + | 7.73628e8i | 0.0253340 | + | 0.0998943i | ||||
\(670\) | 9.54498e8 | − | 5.41322e9i | 0.122606 | − | 0.695335i | ||||
\(671\) | −4.36096e9 | − | 3.65928e9i | −0.557254 | − | 0.467591i | ||||
\(672\) | −3.37075e9 | + | 2.49344e8i | −0.428484 | + | 0.0316962i | ||||
\(673\) | 8.46165e9 | + | 3.07979e9i | 1.07005 | + | 0.389465i | 0.816194 | − | 0.577778i | \(-0.196080\pi\) |
0.253852 | + | 0.967243i | \(0.418302\pi\) | |||||||
\(674\) | 6.80110e9 | 0.855598 | ||||||||
\(675\) | −1.50503e10 | − | 1.93016e9i | −1.88358 | − | 0.241563i | ||||
\(676\) | −1.24259e8 | −0.0154708 | ||||||||
\(677\) | 8.41940e8 | + | 3.06441e8i | 0.104285 | + | 0.0379565i | 0.393636 | − | 0.919267i | \(-0.371217\pi\) |
−0.289351 | + | 0.957223i | \(0.593439\pi\) | |||||||
\(678\) | −2.05803e9 | − | 3.02482e9i | −0.253599 | − | 0.372731i | ||||
\(679\) | −4.08200e9 | − | 3.42521e9i | −0.500414 | − | 0.419897i | ||||
\(680\) | −2.54217e9 | + | 1.44174e10i | −0.310044 | + | 1.75835i | ||||
\(681\) | −2.54260e9 | − | 7.18015e8i | −0.308505 | − | 0.0871202i | ||||
\(682\) | −3.56309e9 | + | 2.98979e9i | −0.430112 | + | 0.360907i | ||||
\(683\) | 7.35302e9 | + | 1.27358e10i | 0.883067 | + | 1.52952i | 0.847913 | + | 0.530135i | \(0.177859\pi\) |
0.0351534 | + | 0.999382i | \(0.488808\pi\) | |||||||
\(684\) | −1.14737e9 | + | 6.21967e8i | −0.137090 | + | 0.0743141i | ||||
\(685\) | 5.42986e9 | − | 9.40480e9i | 0.645464 | − | 1.11798i | ||||
\(686\) | 1.35928e9 | + | 7.70884e9i | 0.160758 | + | 0.911705i | ||||
\(687\) | 6.79598e8 | − | 6.72628e9i | 0.0799657 | − | 0.791455i | ||||
\(688\) | 2.34416e9 | − | 8.53204e8i | 0.274428 | − | 0.0998835i | ||||
\(689\) | 1.41613e10 | − | 5.15431e9i | 1.64944 | − | 0.600348i | ||||
\(690\) | 1.40234e9 | − | 1.38796e10i | 0.162511 | − | 1.60844i | ||||
\(691\) | 7.00358e8 | + | 3.97193e9i | 0.0807508 | + | 0.457960i | 0.998193 | + | 0.0600912i | \(0.0191391\pi\) |
−0.917442 | + | 0.397869i | \(0.869750\pi\) | |||||||
\(692\) | 1.35743e8 | − | 2.35114e8i | 0.0155721 | − | 0.0269717i | ||||
\(693\) | −2.82997e8 | + | 1.05350e10i | −0.0323010 | + | 1.20245i | ||||
\(694\) | 3.93176e9 | + | 6.81000e9i | 0.446507 | + | 0.773373i | ||||
\(695\) | 4.54136e9 | − | 3.81065e9i | 0.513144 | − | 0.430579i | ||||
\(696\) | −1.28309e10 | − | 3.62337e9i | −1.44253 | − | 0.407362i | ||||
\(697\) | 1.54394e9 | − | 8.75614e9i | 0.172710 | − | 0.979485i | ||||
\(698\) | 2.82539e9 | + | 2.37078e9i | 0.314474 | + | 0.263875i | ||||
\(699\) | 5.01882e9 | + | 7.37648e9i | 0.555817 | + | 0.816919i | ||||
\(700\) | −3.59305e9 | − | 1.30776e9i | −0.395931 | − | 0.144107i | ||||
\(701\) | 5.94143e9 | 0.651446 | 0.325723 | − | 0.945465i | \(-0.394392\pi\) | ||||
0.325723 | + | 0.945465i | \(0.394392\pi\) | |||||||
\(702\) | −7.81722e9 | + | 1.76052e9i | −0.852850 | + | 0.192071i | ||||
\(703\) | 1.75274e9 | 0.190271 | ||||||||
\(704\) | −1.43664e10 | − | 5.22895e9i | −1.55183 | − | 0.564820i | ||||
\(705\) | 8.25850e7 | − | 6.10905e6i | 0.00887645 | − | 0.000656617i | ||||
\(706\) | 3.21976e9 | + | 2.70170e9i | 0.344355 | + | 0.288948i | ||||
\(707\) | −1.22608e9 | + | 6.95344e9i | −0.130482 | + | 0.740000i | ||||
\(708\) | 9.13560e8 | + | 3.60225e9i | 0.0967432 | + | 0.381468i | ||||
\(709\) | −6.28298e9 | + | 5.27204e9i | −0.662070 | + | 0.555542i | −0.910706 | − | 0.413054i | \(-0.864462\pi\) |
0.248637 | + | 0.968597i | \(0.420017\pi\) | |||||||
\(710\) | −4.87662e9 | − | 8.44655e9i | −0.511345 | − | 0.885676i | ||||
\(711\) | 3.28474e9 | + | 9.83916e9i | 0.342734 | + | 1.02663i | ||||
\(712\) | −2.61103e9 | + | 4.52244e9i | −0.271102 | + | 0.469562i | ||||
\(713\) | −8.26532e8 | − | 4.68749e9i | −0.0853977 | − | 0.484314i | ||||
\(714\) | −5.20722e9 | − | 3.75134e9i | −0.535380 | − | 0.385693i | ||||
\(715\) | 2.40702e10 | − | 8.76085e9i | 2.46269 | − | 0.896345i | ||||
\(716\) | 1.16579e9 | − | 4.24312e8i | 0.118693 | − | 0.0432005i | ||||
\(717\) | −1.19424e10 | + | 5.37480e9i | −1.20997 | + | 0.544560i | ||||
\(718\) | 3.77031e8 | + | 2.13825e9i | 0.0380138 | + | 0.215587i | ||||
\(719\) | 8.24797e9 | − | 1.42859e10i | 0.827553 | − | 1.43336i | −0.0723990 | − | 0.997376i | \(-0.523065\pi\) |
0.899952 | − | 0.435989i | \(-0.143601\pi\) | |||||||
\(720\) | 6.86645e9 | + | 8.64431e9i | 0.685597 | + | 0.863111i | ||||
\(721\) | −3.45494e9 | − | 5.98412e9i | −0.343294 | − | 0.594603i | ||||
\(722\) | −4.49102e9 | + | 3.76841e9i | −0.444083 | + | 0.372630i | ||||
\(723\) | 1.25412e10 | − | 1.22088e10i | 1.23411 | − | 1.20140i | ||||
\(724\) | 8.49474e8 | − | 4.81761e9i | 0.0831888 | − | 0.471787i | ||||
\(725\) | −2.06071e10 | − | 1.72914e10i | −2.00832 | − | 1.68518i | ||||
\(726\) | −4.74204e9 | + | 9.82278e9i | −0.459925 | + | 0.952701i | ||||
\(727\) | −1.12806e10 | − | 4.10581e9i | −1.08884 | − | 0.396304i | −0.265647 | − | 0.964070i | \(-0.585586\pi\) |
−0.823190 | + | 0.567766i | \(0.807808\pi\) | |||||||
\(728\) | −9.32780e9 | −0.896024 | ||||||||
\(729\) | 9.45048e9 | − | 4.48414e9i | 0.903457 | − | 0.428679i | ||||
\(730\) | 9.74746e9 | 0.927388 | ||||||||
\(731\) | −4.32387e9 | − | 1.57376e9i | −0.409413 | − | 0.149014i | ||||
\(732\) | −6.19028e8 | + | 1.28227e9i | −0.0583340 | + | 0.120834i | ||||
\(733\) | −1.23607e10 | − | 1.03719e10i | −1.15926 | − | 0.972733i | −0.159362 | − | 0.987220i | \(-0.550944\pi\) |
−0.999895 | + | 0.0144876i | \(0.995388\pi\) | |||||||
\(734\) | 1.23434e9 | − | 7.00026e9i | 0.115212 | − | 0.653398i | ||||
\(735\) | −4.66316e9 | + | 4.53958e9i | −0.433187 | + | 0.421706i | ||||
\(736\) | 4.94754e9 | − | 4.15148e9i | 0.457422 | − | 0.383823i | ||||
\(737\) | −3.96741e9 | − | 6.87176e9i | −0.365066 | − | 0.632313i | ||||
\(738\) | −5.94991e9 | − | 7.49046e9i | −0.544896 | − | 0.685979i | ||||
\(739\) | 3.73977e9 | − | 6.47747e9i | 0.340871 | − | 0.590405i | −0.643724 | − | 0.765258i | \(-0.722612\pi\) |
0.984595 | + | 0.174853i | \(0.0559449\pi\) | |||||||
\(740\) | 3.03552e8 | + | 1.72153e9i | 0.0275373 | + | 0.156172i | ||||
\(741\) | −5.85788e9 | + | 2.63640e9i | −0.528904 | + | 0.238039i | ||||
\(742\) | 1.22029e10 | − | 4.44148e9i | 1.09660 | − | 0.399129i | ||||
\(743\) | 2.90736e9 | − | 1.05819e9i | 0.260039 | − | 0.0946463i | −0.208711 | − | 0.977977i | \(-0.566927\pi\) |
0.468750 | + | 0.883331i | \(0.344705\pi\) | |||||||
\(744\) | 4.36048e9 | + | 3.14133e9i | 0.388176 | + | 0.279646i | ||||
\(745\) | −4.15064e8 | − | 2.35395e9i | −0.0367763 | − | 0.208569i | ||||
\(746\) | −4.27935e9 | + | 7.41206e9i | −0.377392 | + | 0.653662i | ||||
\(747\) | −8.08596e8 | − | 2.42208e9i | −0.0709757 | − | 0.212602i | ||||
\(748\) | 2.28740e9 | + | 3.96190e9i | 0.199842 | + | 0.346137i | ||||
\(749\) | 9.96417e9 | − | 8.36093e9i | 0.866473 | − | 0.727057i | ||||
\(750\) | 3.69839e9 | + | 1.45831e10i | 0.320109 | + | 1.26222i | ||||
\(751\) | −9.97413e7 | + | 5.65661e8i | −0.00859281 | + | 0.0487323i | −0.988803 | − | 0.149229i | \(-0.952321\pi\) |
0.980210 | + | 0.197961i | \(0.0634320\pi\) | |||||||
\(752\) | −3.02330e7 | − | 2.53685e7i | −0.00259250 | − | 0.00217536i | ||||
\(753\) | 1.18552e10 | − | 8.76964e8i | 1.01187 | − | 0.0748513i | ||||
\(754\) | −1.33492e10 | − | 4.85872e9i | −1.13411 | − | 0.412783i | ||||
\(755\) | −5.62952e9 | −0.476055 | ||||||||
\(756\) | 2.57153e9 | − | 5.79136e8i | 0.216454 | − | 0.0487477i | ||||
\(757\) | −8.26707e9 | −0.692653 | −0.346327 | − | 0.938114i | \(-0.612571\pi\) | ||||
−0.346327 | + | 0.938114i | \(0.612571\pi\) | |||||||
\(758\) | 1.31167e10 | + | 4.77407e9i | 1.09391 | + | 0.398150i | ||||
\(759\) | −1.13281e10 | − | 1.66496e10i | −0.940396 | − | 1.38216i | ||||
\(760\) | 9.67286e9 | + | 8.11650e9i | 0.799296 | + | 0.670689i | ||||
\(761\) | −3.85816e9 | + | 2.18807e10i | −0.317347 | + | 1.79976i | 0.241403 | + | 0.970425i | \(0.422392\pi\) |
−0.558749 | + | 0.829337i | \(0.688719\pi\) | |||||||
\(762\) | −1.73814e10 | − | 4.90839e9i | −1.42312 | − | 0.401881i | ||||
\(763\) | −1.04943e10 | + | 8.80574e9i | −0.855296 | + | 0.717678i | ||||
\(764\) | −5.10493e7 | − | 8.84200e7i | −0.00414155 | − | 0.00717338i | ||||
\(765\) | 5.46799e8 | − | 2.03554e10i | 0.0441584 | − | 1.64386i | ||||
\(766\) | −1.04604e10 | + | 1.81180e10i | −0.840908 | + | 1.45650i | ||||
\(767\) | 3.17634e9 | + | 1.80139e10i | 0.254181 | + | 1.44153i | ||||
\(768\) | −9.58753e8 | + | 9.48920e9i | −0.0763735 | + | 0.755902i | ||||
\(769\) | −1.60659e10 | + | 5.84752e9i | −1.27398 | + | 0.463692i | −0.888438 | − | 0.458997i | \(-0.848209\pi\) |
−0.385545 | + | 0.922689i | \(0.625987\pi\) | |||||||
\(770\) | 2.07414e10 | − | 7.54924e9i | 1.63727 | − | 0.595917i | ||||
\(771\) | 2.40187e9 | − | 2.37724e10i | 0.188738 | − | 1.86802i | ||||
\(772\) | −1.34911e8 | − | 7.65116e8i | −0.0105532 | − | 0.0598504i | ||||
\(773\) | −8.23994e9 | + | 1.42720e10i | −0.641646 | + | 1.11136i | 0.343419 | + | 0.939182i | \(0.388415\pi\) |
−0.985065 | + | 0.172182i | \(0.944918\pi\) | |||||||
\(774\) | −4.35225e9 | + | 2.35927e9i | −0.337381 | + | 0.182888i | ||||
\(775\) | 5.42159e9 | + | 9.39047e9i | 0.418380 | + | 0.724655i | ||||
\(776\) | −8.80683e9 | + | 7.38980e9i | −0.676555 | + | 0.567697i | ||||
\(777\) | −3.40679e9 | − | 9.62057e8i | −0.260538 | − | 0.0735745i | ||||
\(778\) | −2.85900e9 | + | 1.62142e10i | −0.217664 | + | 1.23443i | ||||
\(779\) | −5.87464e9 | − | 4.92941e9i | −0.445246 | − | 0.373606i | ||||
\(780\) | −3.60396e9 | − | 5.29698e9i | −0.271925 | − | 0.399666i | ||||
\(781\) | −1.32302e10 | − | 4.81541e9i | −0.993776 | − | 0.361705i | ||||
\(782\) | 1.22633e10 | 0.917030 | ||||||||
\(783\) | 1.83941e10 | + | 2.35898e9i | 1.36934 | + | 0.175614i | ||||
\(784\) | 3.10157e9 | 0.229867 | ||||||||
\(785\) | −4.12584e9 | − | 1.50168e9i | −0.304417 | − | 0.110799i | ||||
\(786\) | 1.76165e10 | − | 1.30315e9i | 1.29402 | − | 0.0957226i | ||||
\(787\) | 1.92003e9 | + | 1.61110e9i | 0.140409 | + | 0.117818i | 0.710287 | − | 0.703912i | \(-0.248565\pi\) |
−0.569878 | + | 0.821729i | \(0.693009\pi\) | |||||||
\(788\) | 2.88817e8 | − | 1.63796e9i | 0.0210272 | − | 0.119251i | ||||
\(789\) | 2.53159e9 | + | 9.98232e9i | 0.183495 | + | 0.723539i | ||||
\(790\) | 1.66425e10 | − | 1.39647e10i | 1.20094 | − | 1.00771i | ||||
\(791\) | 2.96187e9 | + | 5.13010e9i | 0.212788 | + | 0.368560i | ||||
\(792\) | 2.22777e10 | + | 4.54814e9i | 1.59343 | + | 0.325308i | ||||
\(793\) | −3.50420e9 | + | 6.06945e9i | −0.249536 | + | 0.432208i | ||||
\(794\) | −3.85534e9 | − | 2.18647e10i | −0.273332 | − | 1.55015i | ||||
\(795\) | 3.34312e10 | + | 2.40842e10i | 2.35975 | + | 1.69999i | ||||
\(796\) | 1.09463e9 | − | 3.98411e8i | 0.0769255 | − | 0.0279986i | ||||
\(797\) | 1.63435e10 | − | 5.94854e9i | 1.14351 | − | 0.416204i | 0.300331 | − | 0.953835i | \(-0.402903\pi\) |
0.843180 | + | 0.537631i | \(0.180681\pi\) | |||||||
\(798\) | −5.04775e9 | + | 2.27179e9i | −0.351631 | + | 0.158255i | ||||
\(799\) | 1.26410e7 | + | 7.16907e7i | 0.000876735 | + | 0.00497221i | ||||
\(800\) | −7.35653e9 | + | 1.27419e10i | −0.507993 | + | 0.879870i | ||||
\(801\) | 2.66664e9 | − | 6.75627e9i | 0.183337 | − | 0.464508i | ||||
\(802\) | −1.11454e10 | − | 1.93043e10i | −0.762929 | − | 1.32143i | ||||
\(803\) | 1.07790e10 | − | 9.04465e9i | 0.734639 | − | 0.616435i | ||||
\(804\) | −1.42207e9 | + | 1.38438e9i | −0.0964993 | + | 0.0939419i | ||||
\(805\) | −3.92227e9 | + | 2.22443e10i | −0.265004 | + | 1.50291i | ||||
\(806\) | 4.38650e9 | + | 3.68071e9i | 0.295084 | + | 0.247605i | ||||
\(807\) | 1.75948e9 | − | 3.64462e9i | 0.117849 | − | 0.244116i | ||||
\(808\) | 1.43146e10 | + | 5.21010e9i | 0.954641 | + | 0.347461i | ||||
\(809\) | −1.92870e10 | −1.28069 | −0.640345 | − | 0.768088i | \(-0.721209\pi\) | ||||
−0.640345 | + | 0.768088i | \(0.721209\pi\) | |||||||
\(810\) | −1.60024e10 | − | 1.49630e10i | −1.05801 | − | 0.989285i | ||||
\(811\) | 1.75340e10 | 1.15427 | 0.577135 | − | 0.816649i | \(-0.304171\pi\) | ||||
0.577135 | + | 0.816649i | \(0.304171\pi\) | |||||||
\(812\) | 4.39131e9 | + | 1.59831e9i | 0.287838 | + | 0.104765i | ||||
\(813\) | −4.43736e9 | + | 9.19165e9i | −0.289606 | + | 0.599897i | ||||
\(814\) | −5.06369e9 | − | 4.24894e9i | −0.329065 | − | 0.276119i | ||||
\(815\) | 1.56796e9 | − | 8.89234e9i | 0.101457 | − | 0.575393i | ||||
\(816\) | −6.95371e9 | + | 6.76943e9i | −0.448024 | + | 0.436151i | ||||
\(817\) | −3.04023e9 | + | 2.55106e9i | −0.195043 | + | 0.163660i | ||||
\(818\) | −7.87475e9 | − | 1.36395e10i | −0.503037 | − | 0.871286i | ||||
\(819\) | 1.28330e10 | − | 1.90904e9i | 0.816273 | − | 0.121429i | ||||
\(820\) | 3.82422e9 | − | 6.62374e9i | 0.242211 | − | 0.419522i | ||||
\(821\) | −1.54858e8 | − | 8.78242e8i | −0.00976634 | − | 0.0553877i | 0.979535 | − | 0.201273i | \(-0.0645079\pi\) |
−0.989301 | + | 0.145886i | \(0.953397\pi\) | |||||||
\(822\) | 9.36615e9 | − | 4.21534e9i | 0.588180 | − | 0.264716i | ||||
\(823\) | −1.48004e10 | + | 5.38691e9i | −0.925495 | + | 0.336853i | −0.760422 | − | 0.649429i | \(-0.775008\pi\) |
−0.165073 | + | 0.986281i | \(0.552786\pi\) | |||||||
\(824\) | −1.40088e10 | + | 5.09880e9i | −0.872281 | + | 0.317484i | ||||
\(825\) | 3.72224e10 | + | 2.68154e10i | 2.30789 | + | 1.66263i | ||||
\(826\) | 2.73706e9 | + | 1.55226e10i | 0.168987 | + | 0.958374i | ||||
\(827\) | 4.15961e8 | − | 7.20466e8i | 0.0255731 | − | 0.0442939i | −0.852956 | − | 0.521983i | \(-0.825192\pi\) |
0.878529 | + | 0.477690i | \(0.158526\pi\) | |||||||
\(828\) | −3.34006e9 | + | 3.77011e9i | −0.204479 | + | 0.230807i | ||||
\(829\) | −4.78878e9 | − | 8.29440e9i | −0.291933 | − | 0.505643i | 0.682334 | − | 0.731041i | \(-0.260965\pi\) |
−0.974267 | + | 0.225398i | \(0.927632\pi\) | |||||||
\(830\) | −4.09683e9 | + | 3.43765e9i | −0.248699 | + | 0.208684i | ||||
\(831\) | 1.64231e7 | + | 6.47578e7i | 0.000992776 | + | 0.00391461i | ||||
\(832\) | −3.26831e9 | + | 1.85355e10i | −0.196740 | + | 1.11577i | ||||
\(833\) | −4.38249e9 | − | 3.67735e9i | −0.262702 | − | 0.220433i | ||||
\(834\) | 5.59167e9 | − | 4.13632e8i | 0.333780 | − | 0.0246907i | ||||
\(835\) | −6.44293e9 | − | 2.34503e9i | −0.382984 | − | 0.139395i | ||||
\(836\) | 3.94584e9 | 0.233570 | ||||||||
\(837\) | −6.64197e9 | − | 3.42937e9i | −0.391524 | − | 0.202151i | ||||
\(838\) | 1.04227e10 | 0.611824 | ||||||||
\(839\) | −2.33178e10 | − | 8.48699e9i | −1.36308 | − | 0.496120i | −0.446074 | − | 0.894996i | \(-0.647178\pi\) |
−0.917005 | + | 0.398875i | \(0.869401\pi\) | |||||||
\(840\) | −1.43460e10 | − | 2.10853e10i | −0.835131 | − | 1.22745i | ||||
\(841\) | 1.19712e10 | + | 1.00450e10i | 0.693988 | + | 0.582325i | ||||
\(842\) | −4.32673e9 | + | 2.45381e10i | −0.249785 | + | 1.41660i | ||||
\(843\) | −1.94248e10 | − | 5.48545e9i | −1.11676 | − | 0.315366i | ||||
\(844\) | −5.93403e9 | + | 4.97924e9i | −0.339744 | + | 0.285079i | ||||
\(845\) | −8.36093e8 | − | 1.44816e9i | −0.0476712 | − | 0.0825690i | ||||
\(846\) | 6.67524e7 | + | 4.09680e7i | 0.00379027 | + | 0.00232621i | ||||
\(847\) | 8.83043e9 | − | 1.52948e10i | 0.499333 | − | 0.864870i | ||||
\(848\) | −3.40989e9 | − | 1.93384e10i | −0.192024 | − | 1.08902i | ||||
\(849\) | −8.98374e8 | + | 8.89160e9i | −0.0503825 | + | 0.498658i | ||||
\(850\) | −2.62519e10 | + | 9.55491e9i | −1.46620 | + | 0.533655i | ||||
\(851\) | 6.35646e9 | − | 2.31356e9i | 0.353559 | − | 0.128685i | ||||
\(852\) | −3.53995e8 | + | 3.50364e9i | −0.0196091 | + | 0.194080i | ||||
\(853\) | −1.76627e9 | − | 1.00170e10i | −0.0974394 | − | 0.552606i | −0.993973 | − | 0.109630i | \(-0.965034\pi\) |
0.896533 | − | 0.442977i | \(-0.146078\pi\) | |||||||
\(854\) | −3.01957e9 | + | 5.23005e9i | −0.165899 | + | 0.287345i | ||||
\(855\) | −1.49689e10 | − | 9.18687e9i | −0.819045 | − | 0.502674i | ||||
\(856\) | −1.40315e10 | − | 2.43032e10i | −0.764619 | − | 1.32436i | ||||
\(857\) | −9.94384e9 | + | 8.34387e9i | −0.539661 | + | 0.452830i | −0.871422 | − | 0.490534i | \(-0.836802\pi\) |
0.331761 | + | 0.943364i | \(0.392357\pi\) | |||||||
\(858\) | 2.33146e10 | + | 6.58392e9i | 1.26015 | + | 0.355860i | ||||
\(859\) | −9.58301e8 | + | 5.43479e9i | −0.0515853 | + | 0.292555i | −0.999676 | − | 0.0254446i | \(-0.991900\pi\) |
0.948091 | + | 0.317999i | \(0.103011\pi\) | |||||||
\(860\) | −3.03216e9 | − | 2.54428e9i | −0.162558 | − | 0.136402i | ||||
\(861\) | 8.71282e9 | + | 1.28058e10i | 0.465208 | + | 0.683747i | ||||
\(862\) | 1.81114e10 | + | 6.59202e9i | 0.963113 | + | 0.350545i | ||||
\(863\) | −3.77651e9 | −0.200010 | −0.100005 | − | 0.994987i | \(-0.531886\pi\) | ||||
−0.100005 | + | 0.994987i | \(0.531886\pi\) | |||||||
\(864\) | −4.76360e8 | − | 1.01317e10i | −0.0251268 | − | 0.534420i | ||||
\(865\) | 3.65348e9 | 0.191933 | ||||||||
\(866\) | −1.80224e10 | − | 6.55960e9i | −0.942973 | − | 0.343214i | ||||
\(867\) | −1.28573e9 | + | 9.51092e7i | −0.0670013 | + | 0.00495628i | ||||
\(868\) | −1.44297e9 | − | 1.21079e9i | −0.0748923 | − | 0.0628421i | ||||
\(869\) | 5.44587e9 | − | 3.08851e10i | 0.281513 | − | 1.59654i | ||||
\(870\) | −9.54790e9 | − | 3.76483e10i | −0.491576 | − | 1.93833i | ||||
\(871\) | −7.48311e9 | + | 6.27908e9i | −0.383724 | + | 0.321982i | ||||
\(872\) | 1.47780e10 | + | 2.55962e10i | 0.754756 | + | 1.30728i | ||||
\(873\) | 1.06039e10 | − | 1.19692e10i | 0.539404 | − | 0.608856i | ||||
\(874\) | 5.28864e9 | − | 9.16019e9i | 0.267950 | − | 0.464103i | ||||
\(875\) | −4.23001e9 | − | 2.39896e10i | −0.213458 | − | 1.21058i | ||||
\(876\) | −2.85555e9 | − | 2.05717e9i | −0.143524 | − | 0.103397i | ||||
\(877\) | 1.12815e8 | − | 4.10612e7i | 0.00564764 | − | 0.00205557i | −0.339195 | − | 0.940716i | \(-0.610155\pi\) |
0.344842 | + | 0.938661i | \(0.387932\pi\) | |||||||
\(878\) | 9.55532e9 | − | 3.47785e9i | 0.476447 | − | 0.173412i | ||||
\(879\) | 1.05476e10 | − | 4.74707e9i | 0.523834 | − | 0.235757i | ||||
\(880\) | −5.79584e9 | − | 3.28698e10i | −0.286699 | − | 1.62595i | ||||
\(881\) | 1.34921e10 | − | 2.33690e10i | 0.664758 | − | 1.15140i | −0.314592 | − | 0.949227i | \(-0.601868\pi\) |
0.979351 | − | 0.202168i | \(-0.0647989\pi\) | |||||||
\(882\) | −6.08813e9 | + | 9.05668e8i | −0.298775 | + | 0.0444456i | ||||
\(883\) | 9.41595e9 | + | 1.63089e10i | 0.460259 | + | 0.797191i | 0.998974 | − | 0.0452968i | \(-0.0144234\pi\) |
−0.538715 | + | 0.842488i | \(0.681090\pi\) | |||||||
\(884\) | 4.31437e9 | − | 3.62019e9i | 0.210056 | − | 0.176258i | ||||
\(885\) | −3.58350e10 | + | 3.48853e10i | −1.73782 | + | 1.69177i | ||||
\(886\) | 2.81944e9 | − | 1.59898e10i | 0.136190 | − | 0.772370i | ||||
\(887\) | 1.50543e10 | + | 1.26320e10i | 0.724315 | + | 0.607772i | 0.928575 | − | 0.371144i | \(-0.121034\pi\) |
−0.204260 | + | 0.978917i | \(0.565479\pi\) | |||||||
\(888\) | −3.32041e9 | + | 6.87797e9i | −0.159128 | + | 0.329621i | ||||
\(889\) | 2.74800e10 | + | 1.00019e10i | 1.31178 | + | 0.477448i | ||||
\(890\) | −1.52127e10 | −0.723336 | ||||||||
\(891\) | −3.15801e10 | − | 1.69787e9i | −1.49569 | − | 0.0804140i | ||||
\(892\) | −6.03538e8 | −0.0284726 | ||||||||
\(893\) | 5.90016e7 | + | 2.14748e7i | 0.00277258 | + | 0.00100914i | ||||
\(894\) | 9.82832e8 | − | 2.03586e9i | 0.0460043 | − | 0.0952944i | ||||
\(895\) | 1.27893e10 | + | 1.07315e10i | 0.596300 | + | 0.500355i | ||||
\(896\) | −1.20986e9 | + | 6.86145e9i | −0.0561897 | + | 0.318668i | ||||
\(897\) | −1.77642e10 | + | 1.72934e10i | −0.821809 | + | 0.800030i | ||||
\(898\) | −1.72950e10 | + | 1.45122e10i | −0.796989 | + | 0.668753i | ||||
\(899\) | −6.62610e9 | − | 1.14767e10i | −0.304158 | − | 0.526817i | ||||
\(900\) | 4.21256e9 | − | 1.06730e10i | 0.192618 | − | 0.488022i | ||||
\(901\) | −1.81103e10 | + | 3.13679e10i | −0.824875 | + | 1.42873i | ||||
\(902\) | 5.02220e9 | + | 2.84823e10i | 0.227862 | + | 1.29227i | ||||
\(903\) | 7.30953e9 | − | 3.28973e9i | 0.330356 | − | 0.148680i | ||||
\(904\) | 1.20096e10 | − | 4.37113e9i | 0.540677 | − | 0.196790i | ||||
\(905\) | 6.18620e10 | − | 2.25159e10i | 2.77430 | − | 1.00976i | ||||
\(906\) | −4.32005e9 | − | 3.11221e9i | −0.192992 | − | 0.139034i | ||||
\(907\) | −5.99793e9 | − | 3.40160e10i | −0.266917 | − | 1.51376i | −0.763521 | − | 0.645783i | \(-0.776531\pi\) |
0.496604 | − | 0.867977i | \(-0.334580\pi\) | |||||||
\(908\) | 9.98954e8 | − | 1.73024e9i | 0.0442838 | − | 0.0767018i | ||||
\(909\) | −2.07601e10 | − | 4.23831e9i | −0.916761 | − | 0.187163i | ||||
\(910\) | −1.35866e10 | − | 2.35328e10i | −0.597678 | − | 1.03521i | ||||
\(911\) | −3.69956e8 | + | 3.10430e8i | −0.0162120 | + | 0.0136035i | −0.650858 | − | 0.759200i | \(-0.725591\pi\) |
0.634646 | + | 0.772803i | \(0.281146\pi\) | |||||||
\(912\) | 2.05765e9 | + | 8.11351e9i | 0.0898234 | + | 0.354182i | ||||
\(913\) | −1.34059e9 | + | 7.60289e9i | −0.0582975 | + | 0.330621i | ||||
\(914\) | −1.78347e9 | − | 1.49651e9i | −0.0772599 | − | 0.0648287i | ||||
\(915\) | −1.91093e10 | + | 1.41357e9i | −0.824651 | + | 0.0610019i | ||||
\(916\) | 4.80400e9 | + | 1.74851e9i | 0.206523 | + | 0.0751683i | ||||
\(917\) | −2.86017e10 | −1.22490 | ||||||||
\(918\) | 1.16729e10 | − | 1.53183e10i | 0.497998 | − | 0.653524i | ||||
\(919\) | 2.25409e10 | 0.958002 | 0.479001 | − | 0.877814i | \(-0.340999\pi\) | ||||
0.479001 | + | 0.877814i | \(0.340999\pi\) | |||||||
\(920\) | 4.57931e10 | + | 1.66673e10i | 1.93884 | + | 0.705681i | ||||
\(921\) | 1.95080e10 | + | 2.86722e10i | 0.822820 | + | 1.20935i | ||||
\(922\) | 2.52654e10 | + | 2.12002e10i | 1.06162 | + | 0.890804i | ||||
\(923\) | −3.00983e9 | + | 1.70696e10i | −0.125990 | + | 0.714525i | ||||
\(924\) | −7.66950e9 | − | 2.16582e9i | −0.319827 | − | 0.0903173i | ||||
\(925\) | −1.18046e10 | + | 9.90523e9i | −0.490405 | + | 0.411499i | ||||
\(926\) | −3.61855e9 | − | 6.26751e9i | −0.149760 | − | 0.259392i | ||||
\(927\) | 1.82296e10 | − | 9.88190e9i | 0.751618 | − | 0.407438i | ||||
\(928\) | 8.99092e9 | − | 1.55727e10i | 0.369306 | − | 0.639657i | ||||
\(929\) | −1.60286e9 | − | 9.09026e9i | −0.0655904 | − | 0.371982i | −0.999880 | − | 0.0154676i | \(-0.995076\pi\) |
0.934290 | − | 0.356514i | \(-0.116035\pi\) | |||||||
\(930\) | −1.57379e9 | + | 1.55765e10i | −0.0641588 | + | 0.635008i | ||||
\(931\) | −4.63681e9 | + | 1.68766e9i | −0.188320 | + | 0.0685427i | ||||
\(932\) | −6.33990e9 | + | 2.30753e9i | −0.256523 | + | 0.0933668i | ||||
\(933\) | 2.06613e9 | − | 2.04494e10i | 0.0832862 | − | 0.824320i | ||||
\(934\) | 3.83786e8 | + | 2.17656e9i | 0.0154126 | + | 0.0874091i | ||||
\(935\) | −3.07823e10 | + | 5.33165e10i | −1.23157 | + | 2.13315i | ||||
\(936\) | 7.51655e8 | − | 2.79815e10i | 0.0299608 | − | 1.11534i | ||||
\(937\) | 3.63797e9 | + | 6.30115e9i | 0.144468 | + | 0.250225i | 0.929174 | − | 0.369642i | \(-0.120520\pi\) |
−0.784707 | + | 0.619867i | \(0.787186\pi\) | |||||||
\(938\) | −6.44821e9 | + | 5.41069e9i | −0.255111 | + | 0.214064i | ||||
\(939\) | −9.37595e9 | − | 2.64771e9i | −0.369561 | − | 0.104362i | ||||
\(940\) | −1.08741e7 | + | 6.16701e7i | −0.000427018 | + | 0.00242174i | ||||
\(941\) | −3.74525e9 | − | 3.14264e9i | −0.146527 | − | 0.122951i | 0.566578 | − | 0.824008i | \(-0.308267\pi\) |
−0.713105 | + | 0.701058i | \(0.752712\pi\) | |||||||
\(942\) | −2.33595e9 | − | 3.43330e9i | −0.0910513 | − | 0.133824i | ||||
\(943\) | −2.78116e10 | − | 1.01226e10i | −1.08003 | − | 0.393098i | ||||
\(944\) | 2.38346e10 | 0.922160 | ||||||||
\(945\) | 2.40524e10 | + | 2.60727e10i | 0.927143 | + | 1.00502i | ||||
\(946\) | 1.49675e10 | 0.574818 | ||||||||
\(947\) | 3.67937e10 | + | 1.33918e10i | 1.40783 | + | 0.512407i | 0.930491 | − | 0.366315i | \(-0.119381\pi\) |
0.477335 | + | 0.878722i | \(0.341603\pi\) | |||||||
\(948\) | −7.82268e9 | + | 5.78666e8i | −0.298213 | + | 0.0220597i | ||||
\(949\) | −1.32699e10 | − | 1.11348e10i | −0.504008 | − | 0.422913i | ||||
\(950\) | −4.18419e9 | + | 2.37297e10i | −0.158336 | + | 0.897966i | ||||
\(951\) | 1.17159e10 | + | 4.61967e10i | 0.441715 | + | 1.74173i | ||||
\(952\) | 1.71739e10 | − | 1.44106e10i | 0.645119 | − | 0.541319i | ||||
\(953\) | 5.18276e9 | + | 8.97681e9i | 0.193971 | + | 0.335967i | 0.946563 | − | 0.322520i | \(-0.104530\pi\) |
−0.752592 | + | 0.658487i | \(0.771197\pi\) | |||||||
\(954\) | 1.23402e10 | + | 3.69640e10i | 0.460154 | + | 1.37835i | ||||
\(955\) | 6.86986e8 | − | 1.18989e9i | 0.0255233 | − | 0.0442076i | ||||
\(956\) | −1.71969e9 | − | 9.75287e9i | −0.0636574 | − | 0.361019i | ||||
\(957\) | −4.54921e10 | − | 3.27730e10i | −1.67782 | − | 1.20872i | ||||
\(958\) | 2.07862e10 | − | 7.56554e9i | 0.763827 | − | 0.278010i | ||||
\(959\) | −1.56273e10 | + | 5.68789e9i | −0.572164 | + | 0.208250i | ||||
\(960\) | −4.69258e10 | + | 2.11194e10i | −1.71184 | + | 0.770430i | ||||
\(961\) | −3.84993e9 | − | 2.18341e10i | −0.139933 | − | 0.793602i | ||||
\(962\) | −4.06887e9 | + | 7.04750e9i | −0.147354 | + | 0.255224i | ||||
\(963\) | 2.42782e10 | + | 3.05643e10i | 0.876040 | + | 1.10286i | ||||
\(964\) | 6.61768e9 | + | 1.14622e10i | 0.237923 | + | 0.412094i | ||||
\(965\) | 8.00918e9 | − | 6.72050e9i | 0.286908 | − | 0.240744i | ||||
\(966\) | −1.53074e10 | + | 1.49017e10i | −0.546364 | + | 0.531884i | ||||
\(967\) | 7.35428e9 | − | 4.17082e10i | 0.261546 | − | 1.48330i | −0.517149 | − | 0.855896i | \(-0.673007\pi\) |
0.778694 | − | 0.627403i | \(-0.215882\pi\) | |||||||
\(968\) | −2.91885e10 | − | 2.44921e10i | −1.03430 | − | 0.867884i | ||||
\(969\) | 6.71225e9 | − | 1.39039e10i | 0.236993 | − | 0.490913i | ||||
\(970\) | −3.14713e10 | − | 1.14546e10i | −1.10717 | − | 0.402976i | ||||
\(971\) | 2.36580e10 | 0.829297 | 0.414648 | − | 0.909982i | \(-0.363905\pi\) | ||||
0.414648 | + | 0.909982i | \(0.363905\pi\) | |||||||
\(972\) | 1.53007e9 | + | 7.76073e9i | 0.0534417 | + | 0.271063i | ||||
\(973\) | −9.07846e9 | −0.315949 | ||||||||
\(974\) | −2.31542e10 | − | 8.42745e9i | −0.802923 | − | 0.292240i | ||||
\(975\) | 2.45534e10 | − | 5.08606e10i | 0.848392 | − | 1.75738i | ||||
\(976\) | 6.99558e9 | + | 5.86999e9i | 0.240851 | + | 0.202098i | ||||
\(977\) | −4.71035e9 | + | 2.67137e10i | −0.161593 | + | 0.916438i | 0.790915 | + | 0.611926i | \(0.209605\pi\) |
−0.952508 | + | 0.304513i | \(0.901506\pi\) | |||||||
\(978\) | 6.11926e9 | − | 5.95709e9i | 0.209176 | − | 0.203633i | ||||
\(979\) | −1.68226e10 | + | 1.41158e10i | −0.572997 | + | 0.480802i | ||||
\(980\) | −2.46064e9 | − | 4.26196e9i | −0.0835136 | − | 0.144650i | ||||
\(981\) | −2.55698e10 | − | 3.21903e10i | −0.864740 | − | 1.08864i | ||||
\(982\) | 2.30845e10 | − | 3.99835e10i | 0.777911 | − | 1.34738i | ||||
\(983\) | 3.62902e9 | + | 2.05812e10i | 0.121857 | + | 0.691087i | 0.983125 | + | 0.182935i | \(0.0585599\pi\) |
−0.861268 | + | 0.508152i | \(0.830329\pi\) | |||||||
\(984\) | 3.04726e10 | − | 1.37145e10i | 1.01959 | − | 0.458879i | ||||
\(985\) | 2.10327e10 | − | 7.65529e9i | 0.701244 | − | 0.255232i | ||||
\(986\) | 3.20843e10 | − | 1.16777e10i | 1.06592 | − | 0.387962i | ||||
\(987\) | −1.02894e8 | − | 7.41258e7i | −0.00340627 | − | 0.00245391i | ||||
\(988\) | −8.43529e8 | − | 4.78389e9i | −0.0278260 | − | 0.157809i | ||||
\(989\) | −7.65835e9 | + | 1.32647e10i | −0.251738 | + | 0.436023i | ||||
\(990\) | 2.09748e10 | + | 6.28283e10i | 0.687029 | + | 2.05794i | ||||
\(991\) | 1.29364e10 | + | 2.24065e10i | 0.422236 | + | 0.731334i | 0.996158 | − | 0.0875762i | \(-0.0279121\pi\) |
−0.573922 | + | 0.818910i | \(0.694579\pi\) | |||||||
\(992\) | −5.55242e9 | + | 4.65903e9i | −0.180589 | + | 0.151532i | ||||
\(993\) | −3.73806e9 | − | 1.47395e10i | −0.121150 | − | 0.477707i | ||||
\(994\) | −2.59358e9 | + | 1.47089e10i | −0.0837620 | + | 0.475038i | ||||
\(995\) | 1.20086e10 | + | 1.00764e10i | 0.386466 | + | 0.324283i | ||||
\(996\) | 1.92569e9 | − | 1.42449e8i | 0.0617558 | − | 0.00456826i | ||||
\(997\) | 3.66794e10 | + | 1.33502e10i | 1.17217 | + | 0.426634i | 0.853429 | − | 0.521209i | \(-0.174519\pi\) |
0.318737 | + | 0.947843i | \(0.396741\pi\) | |||||||
\(998\) | −2.33374e10 | −0.743182 | ||||||||
\(999\) | 3.16050e9 | − | 1.01421e10i | 0.100294 | − | 0.321848i |
(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 | 27.8.e.a.4.8 | ✓ | 120 | |
3.2 | odd | 2 | 81.8.e.a.64.13 | 120 | |||
27.7 | even | 9 | inner | 27.8.e.a.7.8 | yes | 120 | |
27.20 | odd | 18 | 81.8.e.a.19.13 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.8.e.a.4.8 | ✓ | 120 | 1.1 | even | 1 | trivial | |
27.8.e.a.7.8 | yes | 120 | 27.7 | even | 9 | inner | |
81.8.e.a.19.13 | 120 | 27.20 | odd | 18 | |||
81.8.e.a.64.13 | 120 | 3.2 | odd | 2 |