Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(17.5172802326\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 12.14 | ||
Character | \(\chi\) | \(=\) | 43.12 |
Dual form | 43.9.h.a.18.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08287 | − | 2.24859i | −0.0676791 | − | 0.140537i | 0.864385 | − | 0.502831i | \(-0.167708\pi\) |
−0.932064 | + | 0.362294i | \(0.881994\pi\) | |||||||
\(3\) | −17.4187 | − | 25.5485i | −0.215045 | − | 0.315413i | 0.703526 | − | 0.710670i | \(-0.251608\pi\) |
−0.918571 | + | 0.395257i | \(0.870656\pi\) | |||||||
\(4\) | 155.730 | − | 195.279i | 0.608320 | − | 0.762809i | ||||
\(5\) | 618.476 | − | 666.559i | 0.989562 | − | 1.06649i | −0.00822265 | − | 0.999966i | \(-0.502617\pi\) |
0.997785 | − | 0.0665279i | \(-0.0211921\pi\) | |||||||
\(6\) | −38.5861 | + | 66.8331i | −0.0297732 | + | 0.0515687i | ||||
\(7\) | 963.598 | − | 556.334i | 0.401332 | − | 0.231709i | −0.285727 | − | 0.958311i | \(-0.592235\pi\) |
0.687059 | + | 0.726602i | \(0.258902\pi\) | |||||||
\(8\) | −1230.63 | − | 280.883i | −0.300447 | − | 0.0685751i | ||||
\(9\) | 2047.69 | − | 5217.42i | 0.312100 | − | 0.795217i | ||||
\(10\) | −2168.55 | − | 668.908i | −0.216855 | − | 0.0668908i | ||||
\(11\) | 16584.6 | + | 20796.4i | 1.13275 | + | 1.42042i | 0.893269 | + | 0.449522i | \(0.148406\pi\) |
0.239481 | + | 0.970901i | \(0.423023\pi\) | |||||||
\(12\) | −7701.69 | − | 577.162i | −0.371416 | − | 0.0278338i | ||||
\(13\) | −14888.2 | + | 4592.40i | −0.521277 | + | 0.160793i | −0.544218 | − | 0.838944i | \(-0.683173\pi\) |
0.0229405 | + | 0.999737i | \(0.492697\pi\) | |||||||
\(14\) | −2294.42 | − | 1564.31i | −0.0597255 | − | 0.0407202i | ||||
\(15\) | −27802.6 | − | 4190.57i | −0.549187 | − | 0.0827766i | ||||
\(16\) | −13527.3 | − | 59266.9i | −0.206410 | − | 0.904342i | ||||
\(17\) | −11432.5 | + | 10607.8i | −0.136882 | + | 0.127008i | −0.745643 | − | 0.666346i | \(-0.767857\pi\) |
0.608761 | + | 0.793354i | \(0.291667\pi\) | |||||||
\(18\) | −13949.2 | + | 1045.35i | −0.132880 | + | 0.00995799i | ||||
\(19\) | 181308. | − | 71158.1i | 1.39124 | − | 0.546022i | 0.452846 | − | 0.891589i | \(-0.350409\pi\) |
0.938394 | + | 0.345567i | \(0.112313\pi\) | |||||||
\(20\) | −33849.8 | − | 224579.i | −0.211561 | − | 1.40362i | ||||
\(21\) | −30998.1 | − | 14927.9i | −0.159389 | − | 0.0767576i | ||||
\(22\) | 28803.8 | − | 59811.7i | 0.122959 | − | 0.255326i | ||||
\(23\) | −383240. | + | 57764.2i | −1.36949 | + | 0.206418i | −0.792271 | − | 0.610169i | \(-0.791101\pi\) |
−0.577222 | + | 0.816587i | \(0.695863\pi\) | |||||||
\(24\) | 14259.8 | + | 36333.4i | 0.0429802 | + | 0.109512i | ||||
\(25\) | −32596.4 | − | 434969.i | −0.0834468 | − | 1.11352i | ||||
\(26\) | 26448.3 | + | 28504.5i | 0.0578769 | + | 0.0623765i | ||||
\(27\) | −366754. | + | 83709.3i | −0.690113 | + | 0.157514i | ||||
\(28\) | 41420.7 | − | 274808.i | 0.0673884 | − | 0.447093i | ||||
\(29\) | 232415. | − | 340890.i | 0.328603 | − | 0.481973i | −0.626012 | − | 0.779813i | \(-0.715314\pi\) |
0.954616 | + | 0.297841i | \(0.0962664\pi\) | |||||||
\(30\) | 20683.6 | + | 67054.6i | 0.0255353 | + | 0.0827834i | ||||
\(31\) | −10274.0 | + | 137097.i | −0.0111248 | + | 0.148451i | −1.00000 | 0.000297520i | \(-0.999905\pi\) | |
0.988875 | + | 0.148748i | \(0.0475243\pi\) | |||||||
\(32\) | −371263. | + | 296072.i | −0.354064 | + | 0.282356i | ||||
\(33\) | 242436. | − | 785957.i | 0.204428 | − | 0.662740i | ||||
\(34\) | 36232.5 | + | 14220.2i | 0.0271134 | + | 0.0106412i | ||||
\(35\) | 225133. | − | 986374.i | 0.150026 | − | 0.657309i | ||||
\(36\) | −699967. | − | 1.21238e6i | −0.416742 | − | 0.721819i | ||||
\(37\) | −777857. | − | 449096.i | −0.415043 | − | 0.239625i | 0.277911 | − | 0.960607i | \(-0.410358\pi\) |
−0.692954 | + | 0.720982i | \(0.743691\pi\) | |||||||
\(38\) | −356338. | − | 330633.i | −0.170894 | − | 0.158567i | ||||
\(39\) | 376661. | + | 300377.i | 0.162814 | + | 0.129840i | ||||
\(40\) | −948341. | + | 646568.i | −0.370446 | + | 0.252566i | ||||
\(41\) | 1.02514e6 | − | 493682.i | 0.362784 | − | 0.174708i | −0.243607 | − | 0.969874i | \(-0.578331\pi\) |
0.606391 | + | 0.795166i | \(0.292617\pi\) | |||||||
\(42\) | 85867.0i | 0.0275949i | ||||||||
\(43\) | −670054. | + | 3.35250e6i | −0.195991 | + | 0.980606i | ||||
\(44\) | 6.64382e6 | 1.77259 | ||||||||
\(45\) | −2.21127e6 | − | 4.59175e6i | −0.539253 | − | 1.11977i | ||||
\(46\) | 544886. | + | 799201.i | 0.121695 | + | 0.178494i | ||||
\(47\) | −2.36859e6 | + | 2.97012e6i | −0.485398 | + | 0.608670i | −0.962866 | − | 0.269979i | \(-0.912983\pi\) |
0.477468 | + | 0.878649i | \(0.341555\pi\) | |||||||
\(48\) | −1.27855e6 | + | 1.37795e6i | −0.240854 | + | 0.259579i | ||||
\(49\) | −2.26339e6 | + | 3.92030e6i | −0.392622 | + | 0.680041i | ||||
\(50\) | −942770. | + | 544309.i | −0.150843 | + | 0.0870894i | ||||
\(51\) | 470153. | + | 107309.i | 0.0694958 | + | 0.0158620i | ||||
\(52\) | −1.42174e6 | + | 3.62253e6i | −0.194449 | + | 0.495448i | ||||
\(53\) | 773065. | + | 238459.i | 0.0979744 | + | 0.0302211i | 0.343355 | − | 0.939206i | \(-0.388437\pi\) |
−0.245380 | + | 0.969427i | \(0.578913\pi\) | |||||||
\(54\) | 585374. | + | 734035.i | 0.0688427 | + | 0.0863261i | ||||
\(55\) | 2.41192e7 | + | 1.80749e6i | 2.63580 | + | 0.197526i | ||||
\(56\) | −1.34210e6 | + | 413983.i | −0.136468 | + | 0.0420949i | ||||
\(57\) | −4.97612e6 | − | 3.39266e6i | −0.471402 | − | 0.321397i | ||||
\(58\) | −1.01820e6 | − | 153469.i | −0.0899746 | − | 0.0135615i | ||||
\(59\) | 3.25763e6 | + | 1.42726e7i | 0.268840 | + | 1.17786i | 0.911365 | + | 0.411600i | \(0.135030\pi\) |
−0.642525 | + | 0.766265i | \(0.722113\pi\) | |||||||
\(60\) | −5.14802e6 | + | 4.77667e6i | −0.397224 | + | 0.368570i | ||||
\(61\) | 3.56854e6 | − | 267425.i | 0.257734 | − | 0.0193145i | 0.0547635 | − | 0.998499i | \(-0.482560\pi\) |
0.202970 | + | 0.979185i | \(0.434940\pi\) | |||||||
\(62\) | 319401. | − | 125356.i | 0.0216157 | − | 0.00848355i | ||||
\(63\) | −929480. | − | 6.16670e6i | −0.0590035 | − | 0.391463i | ||||
\(64\) | −1.29536e7 | − | 6.23811e6i | −0.772093 | − | 0.371821i | ||||
\(65\) | −6.14689e6 | + | 1.27641e7i | −0.344351 | + | 0.715053i | ||||
\(66\) | −2.02982e6 | + | 305947.i | −0.106975 | + | 0.0161239i | ||||
\(67\) | 8.98367e6 | + | 2.28900e7i | 0.445815 | + | 1.13592i | 0.960436 | + | 0.278500i | \(0.0898372\pi\) |
−0.514622 | + | 0.857417i | \(0.672068\pi\) | |||||||
\(68\) | 291102. | + | 3.88448e6i | 0.0136147 | + | 0.181676i | ||||
\(69\) | 8.15132e6 | + | 8.78504e6i | 0.359610 | + | 0.387567i | ||||
\(70\) | −2.46174e6 | + | 561877.i | −0.102530 | + | 0.0234018i | ||||
\(71\) | 4.97027e6 | − | 3.29756e7i | 0.195590 | − | 1.29765i | −0.648402 | − | 0.761298i | \(-0.724562\pi\) |
0.843992 | − | 0.536356i | \(-0.180200\pi\) | |||||||
\(72\) | −3.98543e6 | + | 5.84556e6i | −0.148302 | + | 0.217518i | ||||
\(73\) | −2.17681e6 | − | 7.05706e6i | −0.0766531 | − | 0.248503i | 0.909134 | − | 0.416504i | \(-0.136745\pi\) |
−0.985787 | + | 0.168001i | \(0.946269\pi\) | |||||||
\(74\) | −167520. | + | 2.23540e6i | −0.00558649 | + | 0.0745466i | ||||
\(75\) | −1.05450e7 | + | 8.40936e6i | −0.333274 | + | 0.265777i | ||||
\(76\) | 1.43394e7 | − | 4.64871e7i | 0.429809 | − | 1.39341i | ||||
\(77\) | 2.75506e7 | + | 1.08128e7i | 0.783734 | + | 0.307593i | ||||
\(78\) | 267553. | − | 1.17223e6i | 0.00722822 | − | 0.0316689i | ||||
\(79\) | −9.15302e6 | − | 1.58535e7i | −0.234994 | − | 0.407021i | 0.724277 | − | 0.689509i | \(-0.242174\pi\) |
−0.959271 | + | 0.282488i | \(0.908840\pi\) | |||||||
\(80\) | −4.78712e7 | − | 2.76385e7i | −1.16873 | − | 0.674767i | ||||
\(81\) | −1.84299e7 | − | 1.71004e7i | −0.428137 | − | 0.397253i | ||||
\(82\) | −2.22018e6 | − | 1.77053e6i | −0.0491058 | − | 0.0391605i | ||||
\(83\) | 2.42037e7 | − | 1.65018e7i | 0.510000 | − | 0.347712i | −0.280820 | − | 0.959760i | \(-0.590607\pi\) |
0.790820 | + | 0.612048i | \(0.209654\pi\) | |||||||
\(84\) | −7.74243e6 | + | 3.72856e6i | −0.155511 | + | 0.0748900i | ||||
\(85\) | 1.41811e7i | 0.271666i | ||||||||
\(86\) | 8.26398e6 | − | 2.12362e6i | 0.151076 | − | 0.0388225i | ||||
\(87\) | −1.27576e7 | −0.222685 | ||||||||
\(88\) | −1.45681e7 | − | 3.02511e7i | −0.242926 | − | 0.504440i | ||||
\(89\) | 4.69072e7 | + | 6.88002e7i | 0.747617 | + | 1.09655i | 0.991921 | + | 0.126854i | \(0.0404879\pi\) |
−0.244305 | + | 0.969699i | \(0.578560\pi\) | |||||||
\(90\) | −7.93048e6 | + | 9.94451e6i | −0.120873 | + | 0.151570i | ||||
\(91\) | −1.17913e7 | + | 1.27080e7i | −0.171948 | + | 0.185316i | ||||
\(92\) | −4.84018e7 | + | 8.38344e7i | −0.675632 | + | 1.17023i | ||||
\(93\) | 3.68159e6 | − | 2.12556e6i | 0.0492156 | − | 0.0284147i | ||||
\(94\) | 9.24344e6 | + | 2.10976e6i | 0.118392 | + | 0.0270222i | ||||
\(95\) | 6.47035e7 | − | 1.64862e8i | 0.794390 | − | 2.02407i | ||||
\(96\) | 1.40311e7 | + | 4.32802e6i | 0.165199 | + | 0.0509570i | ||||
\(97\) | −9.67084e7 | − | 1.21268e8i | −1.09239 | − | 1.36981i | −0.923241 | − | 0.384221i | \(-0.874470\pi\) |
−0.169147 | − | 0.985591i | \(-0.554101\pi\) | |||||||
\(98\) | 1.12661e7 | + | 844278.i | 0.122143 | + | 0.00915337i | ||||
\(99\) | 1.42464e8 | − | 4.39442e7i | 1.48308 | − | 0.457469i | ||||
\(100\) | −9.00165e7 | − | 6.13722e7i | −0.900165 | − | 0.613722i | ||||
\(101\) | −1.07497e8 | − | 1.62025e7i | −1.03302 | − | 0.155703i | −0.389417 | − | 0.921062i | \(-0.627324\pi\) |
−0.643604 | + | 0.765359i | \(0.722562\pi\) | |||||||
\(102\) | −267817. | − | 1.17338e6i | −0.00247422 | − | 0.0108403i | ||||
\(103\) | −917994. | + | 851774.i | −0.00815625 | + | 0.00756790i | −0.684240 | − | 0.729257i | \(-0.739866\pi\) |
0.676084 | + | 0.736824i | \(0.263676\pi\) | |||||||
\(104\) | 1.96118e7 | − | 1.46970e6i | 0.167642 | − | 0.0125631i | ||||
\(105\) | −2.91219e7 | + | 1.14295e7i | −0.239587 | + | 0.0940308i | ||||
\(106\) | −300928. | − | 1.99653e6i | −0.00238363 | − | 0.0158144i | ||||
\(107\) | 1.47113e8 | + | 7.08458e7i | 1.12232 | + | 0.540479i | 0.900607 | − | 0.434634i | \(-0.143122\pi\) |
0.221709 | + | 0.975113i | \(0.428836\pi\) | |||||||
\(108\) | −4.07679e7 | + | 8.46554e7i | −0.299656 | + | 0.622243i | ||||
\(109\) | 5.48785e7 | − | 8.27161e6i | 0.388773 | − | 0.0585981i | 0.0482526 | − | 0.998835i | \(-0.484635\pi\) |
0.340521 | + | 0.940237i | \(0.389397\pi\) | |||||||
\(110\) | −2.20536e7 | − | 5.61916e7i | −0.150629 | − | 0.383796i | ||||
\(111\) | 2.07551e6 | + | 2.76957e7i | 0.0136720 | + | 0.182440i | ||||
\(112\) | −4.60071e7 | − | 4.95838e7i | −0.292383 | − | 0.315114i | ||||
\(113\) | 1.13602e8 | − | 2.59289e7i | 0.696741 | − | 0.159027i | 0.140541 | − | 0.990075i | \(-0.455116\pi\) |
0.556200 | + | 0.831048i | \(0.312259\pi\) | |||||||
\(114\) | −2.24025e6 | + | 1.48631e7i | −0.0132641 | + | 0.0880013i | ||||
\(115\) | −1.98522e8 | + | 2.91178e8i | −1.13505 | + | 1.66482i | ||||
\(116\) | −3.03747e7 | − | 9.84725e7i | −0.167757 | − | 0.543855i | ||||
\(117\) | −6.52588e6 | + | 8.70818e7i | −0.0348253 | + | 0.464712i | ||||
\(118\) | 2.85657e7 | − | 2.27804e7i | 0.147339 | − | 0.117499i | ||||
\(119\) | −5.11486e6 | + | 1.65820e7i | −0.0255062 | + | 0.0826891i | ||||
\(120\) | 3.30377e7 | + | 1.29663e7i | 0.159325 | + | 0.0625305i | ||||
\(121\) | −1.09743e8 | + | 4.80816e8i | −0.511959 | + | 2.24304i | ||||
\(122\) | −4.46558e6 | − | 7.73462e6i | −0.0201576 | − | 0.0349140i | ||||
\(123\) | −3.04694e7 | − | 1.75915e7i | −0.133120 | − | 0.0768569i | ||||
\(124\) | 2.51722e7 | + | 2.33564e7i | 0.106472 | + | 0.0987915i | ||||
\(125\) | −3.23917e7 | − | 2.58315e7i | −0.132676 | − | 0.105806i | ||||
\(126\) | −1.28599e7 | + | 8.76772e6i | −0.0510217 | + | 0.0347860i | ||||
\(127\) | 3.28396e8 | − | 1.58147e8i | 1.26236 | − | 0.607920i | 0.321562 | − | 0.946889i | \(-0.395792\pi\) |
0.940798 | + | 0.338968i | \(0.110078\pi\) | |||||||
\(128\) | 1.57447e8i | 0.586537i | ||||||||
\(129\) | 9.73226e7 | − | 4.12771e7i | 0.351443 | − | 0.149056i | ||||
\(130\) | 3.53576e7 | 0.123797 | ||||||||
\(131\) | 1.43200e8 | + | 2.97358e8i | 0.486248 | + | 1.00970i | 0.989361 | + | 0.145483i | \(0.0464737\pi\) |
−0.503113 | + | 0.864221i | \(0.667812\pi\) | |||||||
\(132\) | −1.15726e8 | − | 1.69740e8i | −0.381186 | − | 0.559097i | ||||
\(133\) | 1.35120e8 | − | 1.69435e8i | 0.431831 | − | 0.541499i | ||||
\(134\) | 4.17422e7 | − | 4.49874e7i | 0.129466 | − | 0.139531i | ||||
\(135\) | −1.71032e8 | + | 2.96235e8i | −0.514922 | + | 0.891871i | ||||
\(136\) | 1.70488e7 | − | 9.84311e6i | 0.0498353 | − | 0.0287724i | ||||
\(137\) | 4.09876e8 | + | 9.35515e7i | 1.16351 | + | 0.265563i | 0.760317 | − | 0.649552i | \(-0.225043\pi\) |
0.403192 | + | 0.915115i | \(0.367901\pi\) | |||||||
\(138\) | 1.09272e7 | − | 2.78420e7i | 0.0301295 | − | 0.0767687i | ||||
\(139\) | 4.82349e8 | + | 1.48785e8i | 1.29212 | + | 0.398566i | 0.863239 | − | 0.504796i | \(-0.168432\pi\) |
0.428880 | + | 0.903362i | \(0.358908\pi\) | |||||||
\(140\) | −1.57558e8 | − | 1.97572e8i | −0.410137 | − | 0.514295i | ||||
\(141\) | 1.17140e8 | + | 8.77840e6i | 0.296365 | + | 0.0222095i | ||||
\(142\) | −7.95308e7 | + | 2.45320e7i | −0.195606 | + | 0.0603364i | ||||
\(143\) | −3.42420e8 | − | 2.33458e8i | −0.818870 | − | 0.558296i | ||||
\(144\) | −3.36920e8 | − | 5.07826e7i | −0.783569 | − | 0.118104i | ||||
\(145\) | −8.34802e7 | − | 3.65751e8i | −0.188848 | − | 0.827395i | ||||
\(146\) | −1.35113e7 | + | 1.25366e7i | −0.0297361 | + | 0.0275911i | ||||
\(147\) | 1.39583e8 | − | 1.04603e7i | 0.298925 | − | 0.0224014i | ||||
\(148\) | −2.08835e8 | + | 8.19616e7i | −0.435267 | + | 0.170830i | ||||
\(149\) | 656684. | + | 4.35681e6i | 0.00133233 | + | 0.00883942i | 0.989487 | − | 0.144621i | \(-0.0461963\pi\) |
−0.988155 | + | 0.153460i | \(0.950958\pi\) | |||||||
\(150\) | 3.03281e7 | + | 1.46052e7i | 0.0599073 | + | 0.0288498i | ||||
\(151\) | −2.86622e7 | + | 5.95177e7i | −0.0551318 | + | 0.114482i | −0.926715 | − | 0.375766i | \(-0.877380\pi\) |
0.871583 | + | 0.490248i | \(0.163094\pi\) | |||||||
\(152\) | −2.43110e8 | + | 3.66430e7i | −0.455437 | + | 0.0686461i | ||||
\(153\) | 3.19353e7 | + | 8.13697e7i | 0.0582780 | + | 0.148490i | ||||
\(154\) | −5.51998e6 | − | 7.36590e7i | −0.00981419 | − | 0.130961i | ||||
\(155\) | 8.50291e7 | + | 9.16396e7i | 0.147313 | + | 0.158766i | ||||
\(156\) | 1.17315e8 | − | 2.67763e7i | 0.198086 | − | 0.0452119i | ||||
\(157\) | −2.52237e7 | + | 1.67348e8i | −0.0415155 | + | 0.275437i | −0.999951 | − | 0.00987098i | \(-0.996858\pi\) |
0.958436 | + | 0.285308i | \(0.0920960\pi\) | |||||||
\(158\) | −2.57366e7 | + | 3.77486e7i | −0.0412974 | + | 0.0605721i | ||||
\(159\) | −7.37349e6 | − | 2.39043e7i | −0.0115368 | − | 0.0374013i | ||||
\(160\) | −3.22677e7 | + | 4.30582e8i | −0.0492365 | + | 0.657016i | ||||
\(161\) | −3.37154e8 | + | 2.68871e8i | −0.501793 | + | 0.400166i | ||||
\(162\) | −1.84948e7 | + | 5.99588e7i | −0.0268528 | + | 0.0870548i | ||||
\(163\) | −3.42324e8 | − | 1.34352e8i | −0.484939 | − | 0.190324i | 0.110260 | − | 0.993903i | \(-0.464832\pi\) |
−0.595199 | + | 0.803578i | \(0.702927\pi\) | |||||||
\(164\) | 6.32393e7 | − | 2.77069e8i | 0.0874201 | − | 0.383013i | ||||
\(165\) | −3.73946e8 | − | 6.47693e8i | −0.504514 | − | 0.873844i | ||||
\(166\) | −6.33153e7 | − | 3.65551e7i | −0.0833828 | − | 0.0481411i | ||||
\(167\) | −1.05828e9 | − | 9.81937e8i | −1.36061 | − | 1.26246i | −0.933649 | − | 0.358189i | \(-0.883394\pi\) |
−0.426959 | − | 0.904271i | \(-0.640415\pi\) | |||||||
\(168\) | 3.39542e7 | + | 2.70776e7i | 0.0426242 | + | 0.0339917i | ||||
\(169\) | −4.73420e8 | + | 3.22772e8i | −0.580363 | + | 0.395685i | ||||
\(170\) | 3.18876e7 | − | 1.53563e7i | 0.0381791 | − | 0.0183861i | ||||
\(171\) | − | 1.09167e9i | − | 1.27675i | ||||||
\(172\) | 5.50325e8 | + | 6.52931e8i | 0.628789 | + | 0.746025i | ||||
\(173\) | 1.16021e9 | 1.29525 | 0.647623 | − | 0.761961i | \(-0.275763\pi\) | ||||
0.647623 | + | 0.761961i | \(0.275763\pi\) | |||||||
\(174\) | 1.38147e7 | + | 2.86866e7i | 0.0150711 | + | 0.0312955i | ||||
\(175\) | −2.73398e8 | − | 4.01001e8i | −0.291503 | − | 0.427556i | ||||
\(176\) | 1.00820e9 | − | 1.26424e9i | 1.05074 | − | 1.31758i | ||||
\(177\) | 3.07900e8 | − | 3.31837e8i | 0.313702 | − | 0.338090i | ||||
\(178\) | 1.03909e8 | − | 1.79976e8i | 0.103508 | − | 0.179282i | ||||
\(179\) | 1.66496e9 | − | 9.61265e8i | 1.62178 | − | 0.936334i | 0.635335 | − | 0.772237i | \(-0.280862\pi\) |
0.986444 | − | 0.164097i | \(-0.0524712\pi\) | |||||||
\(180\) | −1.24103e9 | − | 2.83258e8i | −1.18221 | − | 0.269831i | ||||
\(181\) | −1.14385e8 | + | 2.91448e8i | −0.106575 | + | 0.271548i | −0.974206 | − | 0.225660i | \(-0.927546\pi\) |
0.867631 | + | 0.497208i | \(0.165641\pi\) | |||||||
\(182\) | 4.13436e7 | + | 1.27528e7i | 0.0376810 | + | 0.0116231i | ||||
\(183\) | −6.89916e7 | − | 8.65127e7i | −0.0615165 | − | 0.0771393i | ||||
\(184\) | 4.87852e8 | + | 3.65595e7i | 0.425615 | + | 0.0318954i | ||||
\(185\) | −7.80435e8 | + | 2.40732e8i | −0.666270 | + | 0.205517i | ||||
\(186\) | −8.76619e6 | − | 5.97669e6i | −0.00732418 | − | 0.00499354i | ||||
\(187\) | −4.10208e8 | − | 6.18289e7i | −0.335458 | − | 0.0505621i | ||||
\(188\) | 2.11141e8 | + | 9.25071e8i | 0.169022 | + | 0.740532i | ||||
\(189\) | −3.06833e8 | + | 2.84700e8i | −0.240467 | + | 0.223121i | ||||
\(190\) | −4.40773e8 | + | 3.30313e7i | −0.338221 | + | 0.0253461i | ||||
\(191\) | 6.87553e8 | − | 2.69845e8i | 0.516622 | − | 0.202759i | −0.0926823 | − | 0.995696i | \(-0.529544\pi\) |
0.609304 | + | 0.792937i | \(0.291449\pi\) | |||||||
\(192\) | 6.62596e7 | + | 4.39604e8i | 0.0487578 | + | 0.323487i | ||||
\(193\) | −1.36415e9 | − | 6.56940e8i | −0.983180 | − | 0.473474i | −0.127982 | − | 0.991776i | \(-0.540850\pi\) |
−0.855198 | + | 0.518302i | \(0.826564\pi\) | |||||||
\(194\) | −1.67961e8 | + | 3.48775e8i | −0.118577 | + | 0.246229i | ||||
\(195\) | 4.33175e8 | − | 6.52907e7i | 0.299589 | − | 0.0451557i | ||||
\(196\) | 4.13076e8 | + | 1.05250e9i | 0.279901 | + | 0.713177i | ||||
\(197\) | 1.82868e8 | + | 2.44021e9i | 0.121415 | + | 1.62017i | 0.642236 | + | 0.766507i | \(0.278007\pi\) |
−0.520821 | + | 0.853666i | \(0.674374\pi\) | |||||||
\(198\) | −2.53082e8 | − | 2.72757e8i | −0.164665 | − | 0.177466i | ||||
\(199\) | −2.07567e9 | + | 4.73757e8i | −1.32356 | + | 0.302095i | −0.825184 | − | 0.564864i | \(-0.808929\pi\) |
−0.498380 | + | 0.866959i | \(0.666072\pi\) | |||||||
\(200\) | −8.20614e7 | + | 5.44442e8i | −0.0512884 | + | 0.340276i | ||||
\(201\) | 4.28322e8 | − | 6.28232e8i | 0.262413 | − | 0.384890i | ||||
\(202\) | 7.99715e7 | + | 2.59261e8i | 0.0480319 | + | 0.155716i | ||||
\(203\) | 3.43060e7 | − | 4.57781e8i | 0.0202016 | − | 0.269571i | ||||
\(204\) | 9.41721e7 | − | 7.50997e7i | 0.0543753 | − | 0.0433628i | ||||
\(205\) | 3.04957e8 | − | 9.88647e8i | 0.172673 | − | 0.559791i | ||||
\(206\) | 2.90936e6 | + | 1.14184e6i | 0.00161558 | + | 0.000634068i | ||||
\(207\) | −4.83376e8 | + | 2.11781e9i | −0.263271 | + | 1.15347i | ||||
\(208\) | 4.73574e8 | + | 8.20255e8i | 0.253008 | + | 0.438223i | ||||
\(209\) | 4.48675e9 | + | 2.59043e9i | 2.35151 | + | 1.35764i | ||||
\(210\) | 5.72354e7 | + | 5.31067e7i | 0.0294298 | + | 0.0273069i | ||||
\(211\) | −3.03347e9 | − | 2.41911e9i | −1.53042 | − | 1.22047i | −0.893094 | − | 0.449870i | \(-0.851470\pi\) |
−0.637323 | − | 0.770597i | \(-0.719958\pi\) | |||||||
\(212\) | 1.66955e8 | − | 1.13828e8i | 0.0826527 | − | 0.0563516i | ||||
\(213\) | −9.29052e8 | + | 4.47408e8i | −0.451358 | + | 0.217363i | ||||
\(214\) | − | 4.07513e8i | − | 0.194306i | ||||||
\(215\) | 1.82022e9 | + | 2.52007e9i | 0.851865 | + | 1.17939i | ||||
\(216\) | 4.74852e8 | 0.218144 | ||||||||
\(217\) | 6.63718e7 | + | 1.37822e8i | 0.0299326 | + | 0.0621557i | ||||
\(218\) | −7.80255e7 | − | 1.14442e8i | −0.0345470 | − | 0.0506712i | ||||
\(219\) | −1.42380e8 | + | 1.78539e8i | −0.0618974 | + | 0.0776169i | ||||
\(220\) | 4.10904e9 | − | 4.42850e9i | 1.75408 | − | 1.89045i | ||||
\(221\) | 1.21494e8 | − | 2.10434e8i | 0.0509315 | − | 0.0882159i | ||||
\(222\) | 6.00290e7 | − | 3.46577e7i | 0.0247143 | − | 0.0142688i | ||||
\(223\) | −3.16250e9 | − | 7.21821e8i | −1.27883 | − | 0.291884i | −0.471436 | − | 0.881901i | \(-0.656264\pi\) |
−0.807391 | + | 0.590017i | \(0.799121\pi\) | |||||||
\(224\) | −1.93033e8 | + | 4.91840e8i | −0.0766725 | + | 0.195358i | ||||
\(225\) | −2.33616e9 | − | 7.20611e8i | −0.911534 | − | 0.281171i | ||||
\(226\) | −1.81319e8 | − | 2.27367e8i | −0.0695039 | − | 0.0871552i | ||||
\(227\) | 1.04268e9 | + | 7.81377e7i | 0.392686 | + | 0.0294278i | 0.269610 | − | 0.962969i | \(-0.413105\pi\) |
0.123076 | + | 0.992397i | \(0.460724\pi\) | |||||||
\(228\) | −1.43745e9 | + | 4.43393e8i | −0.531927 | + | 0.164078i | ||||
\(229\) | 3.15156e9 | + | 2.14869e9i | 1.14600 | + | 0.781327i | 0.978845 | − | 0.204604i | \(-0.0655908\pi\) |
0.167151 | + | 0.985931i | \(0.446543\pi\) | |||||||
\(230\) | 8.69713e8 | + | 1.31088e8i | 0.310788 | + | 0.0468438i | ||||
\(231\) | −2.03644e8 | − | 8.92222e8i | −0.0715193 | − | 0.313347i | ||||
\(232\) | −3.81767e8 | + | 3.54228e8i | −0.131779 | + | 0.122273i | ||||
\(233\) | −7.93540e8 | + | 5.94676e7i | −0.269243 | + | 0.0201770i | −0.208668 | − | 0.977987i | \(-0.566913\pi\) |
−0.0605757 | + | 0.998164i | \(0.519294\pi\) | |||||||
\(234\) | 2.02878e8 | − | 7.96238e7i | 0.0676662 | − | 0.0265570i | ||||
\(235\) | 5.14841e8 | + | 3.41575e9i | 0.168811 | + | 1.11999i | ||||
\(236\) | 3.29445e9 | + | 1.58652e9i | 1.06203 | + | 0.511445i | ||||
\(237\) | −2.45599e8 | + | 5.09993e8i | −0.0778456 | + | 0.161648i | ||||
\(238\) | 4.28248e7 | − | 6.45480e6i | 0.0133471 | − | 0.00201176i | ||||
\(239\) | −8.65307e8 | − | 2.20477e9i | −0.265203 | − | 0.675726i | 0.734794 | − | 0.678291i | \(-0.237279\pi\) |
−0.999997 | + | 0.00256448i | \(0.999184\pi\) | |||||||
\(240\) | 1.27732e8 | + | 1.70446e9i | 0.0384994 | + | 0.513739i | ||||
\(241\) | −1.46559e9 | − | 1.57953e9i | −0.434455 | − | 0.468231i | 0.477434 | − | 0.878667i | \(-0.341567\pi\) |
−0.911889 | + | 0.410436i | \(0.865376\pi\) | |||||||
\(242\) | 1.20000e9 | − | 2.73891e8i | 0.349879 | − | 0.0798577i | ||||
\(243\) | −4.83726e8 | + | 3.20931e9i | −0.138731 | + | 0.920422i | ||||
\(244\) | 5.03506e8 | − | 7.38508e8i | 0.142051 | − | 0.208351i | ||||
\(245\) | 1.21326e9 | + | 3.93329e9i | 0.336736 | + | 1.09167i | ||||
\(246\) | −6.56190e6 | + | 8.75625e7i | −0.00179180 | + | 0.0239099i | ||||
\(247\) | −2.37256e9 | + | 1.89205e9i | −0.637425 | + | 0.508330i | ||||
\(248\) | 5.11518e7 | − | 1.65830e8i | 0.0135224 | − | 0.0438386i | ||||
\(249\) | −8.43194e8 | − | 3.30929e8i | −0.219346 | − | 0.0860870i | ||||
\(250\) | −2.30087e7 | + | 1.00808e8i | −0.00589023 | + | 0.0258068i | ||||
\(251\) | 1.05268e9 | + | 1.82330e9i | 0.265218 | + | 0.459371i | 0.967621 | − | 0.252409i | \(-0.0812228\pi\) |
−0.702403 | + | 0.711780i | \(0.747890\pi\) | |||||||
\(252\) | −1.34897e9 | − | 7.78831e8i | −0.334504 | − | 0.193126i | ||||
\(253\) | −7.55717e9 | − | 7.01203e9i | −1.84449 | − | 1.71144i | ||||
\(254\) | −7.11218e8 | − | 5.67177e8i | −0.170871 | − | 0.136265i | ||||
\(255\) | 3.62306e8 | − | 2.47016e8i | 0.0856871 | − | 0.0584204i | ||||
\(256\) | −2.96208e9 | + | 1.42646e9i | −0.689663 | + | 0.332124i | ||||
\(257\) | − | 6.82196e9i | − | 1.56378i | −0.623414 | − | 0.781892i | \(-0.714255\pi\) | ||
0.623414 | − | 0.781892i | \(-0.285745\pi\) | |||||||
\(258\) | −1.98203e8 | − | 1.74141e8i | −0.0447333 | − | 0.0393028i | ||||
\(259\) | −9.99389e8 | −0.222093 | ||||||||
\(260\) | 1.53532e9 | + | 3.18812e9i | 0.335973 | + | 0.697655i | ||||
\(261\) | −1.30265e9 | − | 1.91064e9i | −0.280716 | − | 0.411735i | ||||
\(262\) | 5.13570e8 | − | 6.43997e8i | 0.108992 | − | 0.136672i | ||||
\(263\) | 5.49318e9 | − | 5.92024e9i | 1.14816 | − | 1.23742i | 0.180931 | − | 0.983496i | \(-0.442089\pi\) |
0.967225 | − | 0.253921i | \(-0.0817205\pi\) | |||||||
\(264\) | −5.19111e8 | + | 8.99127e8i | −0.106867 | + | 0.185099i | ||||
\(265\) | 6.37069e8 | − | 3.67812e8i | 0.129182 | − | 0.0745835i | ||||
\(266\) | −5.27309e8 | − | 1.20355e8i | −0.105327 | − | 0.0240401i | ||||
\(267\) | 9.40680e8 | − | 2.39681e9i | 0.185096 | − | 0.471617i | ||||
\(268\) | 5.86896e9 | + | 1.81034e9i | 1.13769 | + | 0.350929i | ||||
\(269\) | −5.24797e9 | − | 6.58074e9i | −1.00226 | − | 1.25680i | −0.966293 | − | 0.257446i | \(-0.917119\pi\) |
−0.0359713 | − | 0.999353i | \(-0.511453\pi\) | |||||||
\(270\) | 8.51317e8 | + | 6.37974e7i | 0.160190 | + | 0.0120046i | ||||
\(271\) | 2.12413e9 | − | 6.55209e8i | 0.393826 | − | 0.121479i | −0.0915158 | − | 0.995804i | \(-0.529171\pi\) |
0.485342 | + | 0.874324i | \(0.338695\pi\) | |||||||
\(272\) | 7.83344e8 | + | 5.34075e8i | 0.143112 | + | 0.0975723i | ||||
\(273\) | 5.30060e8 | + | 7.98937e7i | 0.0954277 | + | 0.0143834i | ||||
\(274\) | −2.33481e8 | − | 1.02295e9i | −0.0414238 | − | 0.181489i | ||||
\(275\) | 8.50520e9 | − | 7.89167e9i | 1.48715 | − | 1.37987i | ||||
\(276\) | 2.98494e9 | − | 2.23690e8i | 0.514397 | − | 0.0385488i | ||||
\(277\) | −5.78218e9 | + | 2.26934e9i | −0.982138 | + | 0.385461i | −0.801438 | − | 0.598078i | \(-0.795931\pi\) |
−0.180699 | + | 0.983538i | \(0.557836\pi\) | |||||||
\(278\) | −1.87762e8 | − | 1.24572e9i | −0.0314361 | − | 0.208565i | ||||
\(279\) | 6.94256e8 | + | 3.34336e8i | 0.114578 | + | 0.0551781i | ||||
\(280\) | −5.54112e8 | + | 1.15063e9i | −0.0901500 | + | 0.187198i | ||||
\(281\) | −6.03388e9 | + | 9.09461e8i | −0.967769 | + | 0.145868i | −0.613862 | − | 0.789413i | \(-0.710385\pi\) |
−0.353906 | + | 0.935281i | \(0.615147\pi\) | |||||||
\(282\) | −1.07107e8 | − | 2.72905e8i | −0.0169365 | − | 0.0431534i | ||||
\(283\) | −4.95772e8 | − | 6.61562e9i | −0.0772923 | − | 1.03139i | −0.892152 | − | 0.451736i | \(-0.850805\pi\) |
0.814860 | − | 0.579658i | \(-0.196814\pi\) | |||||||
\(284\) | −5.66542e9 | − | 6.10587e9i | −0.870881 | − | 0.938587i | ||||
\(285\) | −5.33902e9 | + | 1.21860e9i | −0.809249 | + | 0.184706i | ||||
\(286\) | −1.54157e8 | + | 1.02277e9i | −0.0230409 | + | 0.152867i | ||||
\(287\) | 7.13172e8 | − | 1.04603e9i | 0.105115 | − | 0.154176i | ||||
\(288\) | 7.84503e8 | + | 2.54330e9i | 0.114031 | + | 0.369681i | ||||
\(289\) | −5.03123e8 | + | 6.71370e9i | −0.0721244 | + | 0.962434i | ||||
\(290\) | −7.32026e8 | + | 5.83772e8i | −0.103499 | + | 0.0825374i | ||||
\(291\) | −1.41369e9 | + | 4.58309e9i | −0.197144 | + | 0.639125i | ||||
\(292\) | −1.71709e9 | − | 6.73908e8i | −0.236190 | − | 0.0926978i | ||||
\(293\) | −2.65190e9 | + | 1.16188e10i | −0.359822 | + | 1.57648i | 0.393814 | + | 0.919190i | \(0.371155\pi\) |
−0.753636 | + | 0.657292i | \(0.771702\pi\) | |||||||
\(294\) | −1.74670e8 | − | 3.02538e8i | −0.0233792 | − | 0.0404940i | ||||
\(295\) | 1.15283e10 | + | 6.65587e9i | 1.52222 | + | 0.878854i | ||||
\(296\) | 8.31112e8 | + | 7.71159e8i | 0.108266 | + | 0.100456i | ||||
\(297\) | −7.82332e9 | − | 6.23889e9i | −1.00546 | − | 0.801829i | ||||
\(298\) | 9.08560e6 | − | 6.19445e6i | 0.00115210 | − | 0.000785485i | ||||
\(299\) | 5.44048e9 | − | 2.62000e9i | 0.680695 | − | 0.327805i | ||||
\(300\) | 3.36881e9i | 0.415902i | ||||||||
\(301\) | 1.21944e9 | + | 3.60323e9i | 0.148558 | + | 0.438961i | ||||
\(302\) | 1.64869e8 | 0.0198203 | ||||||||
\(303\) | 1.45850e9 | + | 3.02860e9i | 0.173035 | + | 0.359312i | ||||
\(304\) | −6.66993e9 | − | 9.78299e9i | −0.780956 | − | 1.14545i | ||||
\(305\) | 2.02880e9 | − | 2.54404e9i | 0.234445 | − | 0.293985i | ||||
\(306\) | 1.48386e8 | − | 1.59922e8i | 0.0169241 | − | 0.0182399i | ||||
\(307\) | −4.81196e9 | + | 8.33457e9i | −0.541713 | + | 0.938274i | 0.457093 | + | 0.889419i | \(0.348891\pi\) |
−0.998806 | + | 0.0488550i | \(0.984443\pi\) | |||||||
\(308\) | 6.40197e9 | − | 3.69618e9i | 0.711395 | − | 0.410724i | ||||
\(309\) | 3.77518e7 | + | 8.61659e6i | 0.00414098 | + | 0.000945152i | ||||
\(310\) | 1.13985e8 | − | 2.90429e8i | 0.0123424 | − | 0.0314480i | ||||
\(311\) | 6.53955e9 | + | 2.01718e9i | 0.699047 | + | 0.215627i | 0.623853 | − | 0.781542i | \(-0.285566\pi\) |
0.0751935 | + | 0.997169i | \(0.476043\pi\) | |||||||
\(312\) | −3.79160e8 | − | 4.75452e8i | −0.0400133 | − | 0.0501751i | ||||
\(313\) | 1.39034e10 | + | 1.04191e9i | 1.44858 | + | 0.108556i | 0.775657 | − | 0.631155i | \(-0.217419\pi\) |
0.672925 | + | 0.739711i | \(0.265038\pi\) | |||||||
\(314\) | 4.03612e8 | − | 1.24498e8i | 0.0415189 | − | 0.0128069i | ||||
\(315\) | −4.68533e9 | − | 3.19440e9i | −0.475880 | − | 0.324450i | ||||
\(316\) | −4.52125e9 | − | 6.81469e8i | −0.453430 | − | 0.0683436i | ||||
\(317\) | 5.90840e8 | + | 2.58864e9i | 0.0585104 | + | 0.256351i | 0.995721 | − | 0.0924140i | \(-0.0294583\pi\) |
−0.937210 | + | 0.348765i | \(0.886601\pi\) | |||||||
\(318\) | −4.57665e7 | + | 4.24651e7i | −0.00447548 | + | 0.00415264i | ||||
\(319\) | 1.09438e10 | − | 8.20124e8i | 1.05683 | − | 0.0791985i | ||||
\(320\) | −1.21695e10 | + | 4.77620e9i | −1.16058 | + | 0.455493i | ||||
\(321\) | −7.52506e8 | − | 4.99255e9i | −0.0708744 | − | 0.470221i | ||||
\(322\) | 9.69673e8 | + | 4.66970e8i | 0.0901991 | + | 0.0434376i | ||||
\(323\) | −1.31797e9 | + | 2.73680e9i | −0.121087 | + | 0.251439i | ||||
\(324\) | −6.20944e9 | + | 9.35922e8i | −0.563472 | + | 0.0849297i | ||||
\(325\) | 2.48285e9 | + | 6.32620e9i | 0.222545 | + | 0.567035i | ||||
\(326\) | 6.85872e7 | + | 9.15232e8i | 0.00607257 | + | 0.0810328i | ||||
\(327\) | −1.16724e9 | − | 1.25798e9i | −0.102086 | − | 0.110023i | ||||
\(328\) | −1.40024e9 | + | 3.19595e8i | −0.120978 | + | 0.0276124i | ||||
\(329\) | −6.29992e8 | + | 4.17972e9i | −0.0537714 | + | 0.356750i | ||||
\(330\) | −1.05147e9 | + | 1.54222e9i | −0.0886624 | + | 0.130044i | ||||
\(331\) | −3.31691e9 | − | 1.07532e10i | −0.276326 | − | 0.895827i | −0.982256 | − | 0.187546i | \(-0.939947\pi\) |
0.705930 | − | 0.708282i | \(-0.250529\pi\) | |||||||
\(332\) | 5.46783e8 | − | 7.29631e9i | 0.0450052 | − | 0.600553i | ||||
\(333\) | −3.93593e9 | + | 3.13880e9i | −0.320089 | + | 0.255262i | ||||
\(334\) | −1.06201e9 | + | 3.44294e9i | −0.0853377 | + | 0.276658i | ||||
\(335\) | 2.08137e10 | + | 8.16878e9i | 1.65261 | + | 0.648602i | ||||
\(336\) | −4.65410e8 | + | 2.03910e9i | −0.0365156 | + | 0.159985i | ||||
\(337\) | 5.13757e9 | + | 8.89854e9i | 0.398326 | + | 0.689921i | 0.993520 | − | 0.113662i | \(-0.0362580\pi\) |
−0.595194 | + | 0.803582i | \(0.702925\pi\) | |||||||
\(338\) | 1.23843e9 | + | 7.15010e8i | 0.0948869 | + | 0.0547830i | ||||
\(339\) | −2.64124e9 | − | 2.45071e9i | −0.199990 | − | 0.185564i | ||||
\(340\) | 2.76928e9 | + | 2.20842e9i | 0.207229 | + | 0.165260i | ||||
\(341\) | −3.02152e9 | + | 2.06004e9i | −0.223464 | + | 0.152355i | ||||
\(342\) | −2.45472e9 | + | 1.18213e9i | −0.179431 | + | 0.0864094i | ||||
\(343\) | 1.14511e10i | 0.827315i | ||||||||
\(344\) | 1.76625e9 | − | 3.93748e9i | 0.126130 | − | 0.281180i | ||||
\(345\) | 1.08971e10 | 0.769195 | ||||||||
\(346\) | −1.25635e9 | − | 2.60884e9i | −0.0876611 | − | 0.182030i | ||||
\(347\) | 1.28903e10 | + | 1.89067e10i | 0.889092 | + | 1.30406i | 0.952018 | + | 0.306040i | \(0.0990043\pi\) |
−0.0629264 | + | 0.998018i | \(0.520043\pi\) | |||||||
\(348\) | −1.98674e9 | + | 2.49129e9i | −0.135464 | + | 0.169866i | ||||
\(349\) | −1.57331e10 | + | 1.69562e10i | −1.06050 | + | 1.14295i | −0.0711423 | + | 0.997466i | \(0.522664\pi\) |
−0.989361 | + | 0.145484i | \(0.953526\pi\) | |||||||
\(350\) | −6.05635e8 | + | 1.04899e9i | −0.0403588 | + | 0.0699035i | ||||
\(351\) | 5.07588e9 | − | 2.93056e9i | 0.334413 | − | 0.193073i | ||||
\(352\) | −1.23145e10 | − | 2.81070e9i | −0.802131 | − | 0.183081i | ||||
\(353\) | 2.96309e9 | − | 7.54983e9i | 0.190830 | − | 0.486226i | −0.803152 | − | 0.595774i | \(-0.796845\pi\) |
0.993981 | + | 0.109548i | \(0.0349405\pi\) | |||||||
\(354\) | −1.07958e9 | − | 3.33007e8i | −0.0687452 | − | 0.0212051i | ||||
\(355\) | −1.89062e10 | − | 2.37076e10i | −1.19039 | − | 1.49271i | ||||
\(356\) | 2.07401e10 | + | 1.55425e9i | 1.29125 | + | 0.0967658i | ||||
\(357\) | 5.12738e8 | − | 1.58159e8i | 0.0315662 | − | 0.00973690i | ||||
\(358\) | −3.96442e9 | − | 2.70290e9i | −0.241350 | − | 0.164550i | ||||
\(359\) | −2.19154e10 | − | 3.30321e9i | −1.31938 | − | 0.198865i | −0.548667 | − | 0.836041i | \(-0.684864\pi\) |
−0.770718 | + | 0.637176i | \(0.780102\pi\) | |||||||
\(360\) | 1.43151e9 | + | 6.27186e9i | 0.0852285 | + | 0.373411i | ||||
\(361\) | 1.53592e10 | − | 1.42513e10i | 0.904358 | − | 0.839122i | ||||
\(362\) | 7.79212e8 | − | 5.83939e7i | 0.0453755 | − | 0.00340043i | ||||
\(363\) | 1.41957e10 | − | 5.57140e9i | 0.817580 | − | 0.320876i | ||||
\(364\) | 6.45350e8 | + | 4.28162e9i | 0.0367612 | + | 0.243895i | ||||
\(365\) | −6.05025e9 | − | 2.91365e9i | −0.340880 | − | 0.164159i | ||||
\(366\) | −1.19823e8 | + | 2.48816e8i | −0.00667755 | + | 0.0138661i | ||||
\(367\) | −2.90008e9 | + | 4.37116e8i | −0.159862 | + | 0.0240953i | −0.228486 | − | 0.973547i | \(-0.573377\pi\) |
0.0686236 | + | 0.997643i | \(0.478139\pi\) | |||||||
\(368\) | 8.60771e9 | + | 2.19321e10i | 0.469350 | + | 1.19588i | ||||
\(369\) | −4.76578e8 | − | 6.35950e9i | −0.0257057 | − | 0.343018i | ||||
\(370\) | 1.38642e9 | + | 1.49420e9i | 0.0739753 | + | 0.0797264i | ||||
\(371\) | 8.77587e8 | − | 2.00304e8i | 0.0463228 | − | 0.0105729i | ||||
\(372\) | 1.58255e8 | − | 1.04995e9i | 0.00826389 | − | 0.0548273i | ||||
\(373\) | −9.45322e9 | + | 1.38653e10i | −0.488365 | + | 0.716300i | −0.988762 | − | 0.149496i | \(-0.952235\pi\) |
0.500397 | + | 0.865796i | \(0.333187\pi\) | |||||||
\(374\) | 3.05172e8 | + | 9.89344e8i | 0.0155976 | + | 0.0505663i | ||||
\(375\) | −9.57361e7 | + | 1.27751e9i | −0.00484117 | + | 0.0646010i | ||||
\(376\) | 3.74911e9 | − | 2.98982e9i | 0.187576 | − | 0.149587i | ||||
\(377\) | −1.89473e9 | + | 6.14258e9i | −0.0937957 | + | 0.304078i | ||||
\(378\) | 9.72434e8 | + | 3.81652e8i | 0.0476313 | + | 0.0186939i | ||||
\(379\) | 6.39514e9 | − | 2.80190e10i | 0.309951 | − | 1.35799i | −0.544634 | − | 0.838674i | \(-0.683331\pi\) |
0.854585 | − | 0.519312i | \(-0.173812\pi\) | |||||||
\(380\) | −2.21178e10 | − | 3.83092e10i | −1.06074 | − | 1.83725i | ||||
\(381\) | −9.76064e9 | − | 5.63531e9i | −0.463211 | − | 0.267435i | ||||
\(382\) | −1.35130e9 | − | 1.25382e9i | −0.0634597 | − | 0.0588820i | ||||
\(383\) | 7.88514e9 | + | 6.28819e9i | 0.366450 | + | 0.292234i | 0.789351 | − | 0.613942i | \(-0.210417\pi\) |
−0.422902 | + | 0.906176i | \(0.638988\pi\) | |||||||
\(384\) | 4.02254e9 | − | 2.74252e9i | 0.185002 | − | 0.126132i | ||||
\(385\) | 2.42468e10 | − | 1.16766e10i | 1.10360 | − | 0.531465i | ||||
\(386\) | 3.77880e9i | 0.170218i | ||||||||
\(387\) | 1.61193e10 | + | 1.03608e10i | 0.718626 | + | 0.461902i | ||||
\(388\) | −3.87416e10 | −1.70943 | ||||||||
\(389\) | −4.99391e9 | − | 1.03700e10i | −0.218093 | − | 0.452876i | 0.763003 | − | 0.646395i | \(-0.223724\pi\) |
−0.981096 | + | 0.193519i | \(0.938010\pi\) | |||||||
\(390\) | −6.15883e8 | − | 9.03334e8i | −0.0266219 | − | 0.0390472i | ||||
\(391\) | 3.76865e9 | − | 4.72573e9i | 0.161242 | − | 0.202191i | ||||
\(392\) | 3.88654e9 | − | 4.18869e9i | 0.164596 | − | 0.177392i | ||||
\(393\) | 5.10269e9 | − | 8.83812e9i | 0.213909 | − | 0.370501i | ||||
\(394\) | 5.28901e9 | − | 3.05361e9i | 0.219477 | − | 0.126715i | ||||
\(395\) | −1.62282e10 | − | 3.70398e9i | −0.666626 | − | 0.152153i | ||||
\(396\) | 1.36045e10 | − | 3.46636e10i | 0.553224 | − | 1.40959i | ||||
\(397\) | −1.08897e10 | − | 3.35904e9i | −0.438384 | − | 0.135224i | 0.0677036 | − | 0.997705i | \(-0.478433\pi\) |
−0.506088 | + | 0.862482i | \(0.668909\pi\) | |||||||
\(398\) | 3.31295e9 | + | 4.15431e9i | 0.132033 | + | 0.165564i | ||||
\(399\) | −6.68244e9 | − | 5.00779e8i | −0.263659 | − | 0.0197585i | ||||
\(400\) | −2.53383e10 | + | 7.81584e9i | −0.989778 | + | 0.305306i | ||||
\(401\) | 2.35219e10 | + | 1.60370e10i | 0.909695 | + | 0.620220i | 0.925126 | − | 0.379661i | \(-0.123959\pi\) |
−0.0154305 | + | 0.999881i | \(0.504912\pi\) | |||||||
\(402\) | −1.87645e9 | − | 2.82830e8i | −0.0718512 | − | 0.0108298i | ||||
\(403\) | −4.76644e8 | − | 2.08831e9i | −0.0180706 | − | 0.0791727i | ||||
\(404\) | −1.99044e10 | + | 1.84686e10i | −0.747178 | + | 0.693280i | ||||
\(405\) | −2.27969e10 | + | 1.70839e9i | −0.847336 | + | 0.0634990i | ||||
\(406\) | −1.06651e9 | + | 4.18575e8i | −0.0392520 | + | 0.0154053i | ||||
\(407\) | −3.56085e9 | − | 2.36247e10i | −0.129771 | − | 0.860972i | ||||
\(408\) | −5.48443e8 | − | 2.64116e8i | −0.0197921 | − | 0.00953135i | ||||
\(409\) | −1.43169e10 | + | 2.97293e10i | −0.511630 | + | 1.06241i | 0.471898 | + | 0.881653i | \(0.343569\pi\) |
−0.983528 | + | 0.180757i | \(0.942145\pi\) | |||||||
\(410\) | −2.55329e9 | + | 3.84847e8i | −0.0903577 | + | 0.0136192i | ||||
\(411\) | −4.74939e9 | − | 1.21012e10i | −0.166445 | − | 0.424095i | ||||
\(412\) | 2.33745e7 | + | 3.11911e8i | 0.000811249 | + | 0.0108254i | ||||
\(413\) | 1.10794e10 | + | 1.19407e10i | 0.380816 | + | 0.410422i | ||||
\(414\) | 5.28552e9 | − | 1.20639e9i | 0.179923 | − | 0.0410662i | ||||
\(415\) | 3.97000e9 | − | 2.63392e10i | 0.133844 | − | 0.887995i | ||||
\(416\) | 4.16775e9 | − | 6.11296e9i | 0.139164 | − | 0.204117i | ||||
\(417\) | −4.60065e9 | − | 1.49149e10i | −0.152151 | − | 0.493261i | ||||
\(418\) | 9.66269e8 | − | 1.28940e10i | 0.0316514 | − | 0.422358i | ||||
\(419\) | −1.27153e9 | + | 1.01402e9i | −0.0412546 | + | 0.0328994i | −0.643900 | − | 0.765110i | \(-0.722685\pi\) |
0.602645 | + | 0.798009i | \(0.294113\pi\) | |||||||
\(420\) | −2.30321e9 | + | 7.46681e9i | −0.0740177 | + | 0.239959i | ||||
\(421\) | 1.36861e10 | + | 5.37140e9i | 0.435663 | + | 0.170985i | 0.573029 | − | 0.819535i | \(-0.305768\pi\) |
−0.137365 | + | 0.990520i | \(0.543863\pi\) | |||||||
\(422\) | −2.15476e9 | + | 9.44061e9i | −0.0679436 | + | 0.297680i | ||||
\(423\) | 1.06462e10 | + | 1.84398e10i | 0.332532 | + | 0.575963i | ||||
\(424\) | −8.84379e8 | − | 5.10596e8i | −0.0273637 | − | 0.0157984i | ||||
\(425\) | 4.98673e9 | + | 4.62701e9i | 0.152848 | + | 0.141822i | ||||
\(426\) | 2.01208e9 | + | 1.60458e9i | 0.0610951 | + | 0.0487217i | ||||
\(427\) | 3.28986e9 | − | 2.24299e9i | 0.0989616 | − | 0.0674709i | ||||
\(428\) | 3.67445e10 | − | 1.76952e10i | 1.09501 | − | 0.527329i | ||||
\(429\) | 1.28148e10i | 0.378342i | ||||||||
\(430\) | 3.69555e9 | − | 6.82184e9i | 0.108095 | − | 0.199539i | ||||
\(431\) | −1.07280e9 | −0.0310892 | −0.0155446 | − | 0.999879i | \(-0.504948\pi\) | ||||
−0.0155446 | + | 0.999879i | \(0.504948\pi\) | |||||||
\(432\) | 9.92238e9 | + | 2.06040e10i | 0.284893 | + | 0.591585i | ||||
\(433\) | −1.68252e10 | − | 2.46781e10i | −0.478640 | − | 0.702036i | 0.508649 | − | 0.860974i | \(-0.330145\pi\) |
−0.987289 | + | 0.158938i | \(0.949193\pi\) | |||||||
\(434\) | 2.38035e8 | − | 2.98486e8i | 0.00670937 | − | 0.00841328i | ||||
\(435\) | −7.89026e9 | + | 8.50368e9i | −0.220361 | + | 0.237492i | ||||
\(436\) | 6.93095e9 | − | 1.20048e10i | 0.191799 | − | 0.332206i | ||||
\(437\) | −6.53741e10 | + | 3.77437e10i | −1.79259 | + | 1.03495i | ||||
\(438\) | 5.55640e8 | + | 1.26821e8i | 0.0150972 | + | 0.00344584i | ||||
\(439\) | −1.73297e9 | + | 4.41554e9i | −0.0466588 | + | 0.118885i | −0.952303 | − | 0.305153i | \(-0.901292\pi\) |
0.905645 | + | 0.424038i | \(0.139388\pi\) | |||||||
\(440\) | −2.91742e10 | − | 8.99903e9i | −0.778373 | − | 0.240096i | ||||
\(441\) | 1.58191e10 | + | 1.98366e10i | 0.418243 | + | 0.524460i | ||||
\(442\) | −6.04742e8 | − | 4.53192e7i | −0.0158446 | − | 0.00118739i | ||||
\(443\) | 4.27923e10 | − | 1.31997e10i | 1.11109 | − | 0.342727i | 0.315724 | − | 0.948851i | \(-0.397753\pi\) |
0.795370 | + | 0.606124i | \(0.207276\pi\) | |||||||
\(444\) | 5.73161e9 | + | 3.90775e9i | 0.147484 | + | 0.100553i | ||||
\(445\) | 7.48703e10 | + | 1.12849e10i | 1.90928 | + | 0.287778i | ||||
\(446\) | 1.80148e9 | + | 7.89282e9i | 0.0455293 | + | 0.199477i | ||||
\(447\) | 9.98714e7 | − | 9.26671e7i | 0.00250156 | − | 0.00232111i | ||||
\(448\) | −1.59525e10 | + | 1.19548e9i | −0.396020 | + | 0.0296776i | ||||
\(449\) | −4.00862e10 | + | 1.57327e10i | −0.986301 | + | 0.387095i | −0.803011 | − | 0.595964i | \(-0.796770\pi\) |
−0.183290 | + | 0.983059i | \(0.558675\pi\) | |||||||
\(450\) | 9.09389e8 | + | 6.03340e9i | 0.0221768 | + | 0.147134i | ||||
\(451\) | 2.72683e10 | + | 1.31317e10i | 0.659102 | + | 0.317407i | ||||
\(452\) | 1.26278e10 | − | 2.62219e10i | 0.302534 | − | 0.628219i | ||||
\(453\) | 2.01985e9 | − | 3.04443e8i | 0.0479651 | − | 0.00722958i | ||||
\(454\) | −9.53377e8 | − | 2.42917e9i | −0.0224410 | − | 0.0571786i | ||||
\(455\) | 1.17799e9 | + | 1.57192e10i | 0.0274851 | + | 0.366763i | ||||
\(456\) | 5.17083e9 | + | 5.57283e9i | 0.119592 | + | 0.128889i | ||||
\(457\) | 3.85427e10 | − | 8.79711e9i | 0.883643 | − | 0.201686i | 0.243463 | − | 0.969910i | \(-0.421717\pi\) |
0.640181 | + | 0.768224i | \(0.278860\pi\) | |||||||
\(458\) | 1.41883e9 | − | 9.41332e9i | 0.0322454 | − | 0.213934i | ||||
\(459\) | 3.30495e9 | − | 4.84747e9i | 0.0744585 | − | 0.109211i | ||||
\(460\) | 2.59452e10 | + | 8.41122e10i | 0.579463 | + | 1.87857i | ||||
\(461\) | −5.96223e8 | + | 7.95605e9i | −0.0132010 | + | 0.176154i | 0.986706 | + | 0.162515i | \(0.0519607\pi\) |
−0.999907 | + | 0.0136392i | \(0.995658\pi\) | |||||||
\(462\) | −1.78573e9 | + | 1.42407e9i | −0.0391965 | + | 0.0312581i | ||||
\(463\) | −1.82672e10 | + | 5.92209e10i | −0.397511 | + | 1.28870i | 0.506889 | + | 0.862011i | \(0.330795\pi\) |
−0.904400 | + | 0.426686i | \(0.859681\pi\) | |||||||
\(464\) | −2.33475e10 | − | 9.16320e9i | −0.503695 | − | 0.197686i | ||||
\(465\) | 8.60159e8 | − | 3.76860e9i | 0.0183979 | − | 0.0806063i | ||||
\(466\) | 9.93015e8 | + | 1.71995e9i | 0.0210578 | + | 0.0364731i | ||||
\(467\) | −2.21292e10 | − | 1.27763e10i | −0.465263 | − | 0.268620i | 0.248992 | − | 0.968506i | \(-0.419901\pi\) |
−0.714255 | + | 0.699886i | \(0.753234\pi\) | |||||||
\(468\) | 1.59890e10 | + | 1.48356e10i | 0.333301 | + | 0.309258i | ||||
\(469\) | 2.13911e10 | + | 1.70589e10i | 0.442122 | + | 0.352581i | ||||
\(470\) | 7.12313e9 | − | 4.85647e9i | 0.145975 | − | 0.0995242i | ||||
\(471\) | 4.71486e9 | − | 2.27056e9i | 0.0958044 | − | 0.0461370i | ||||
\(472\) | − | 1.84793e10i | − | 0.372321i | ||||||
\(473\) | −8.08325e10 | + | 4.16651e10i | −1.61488 | + | 0.832391i | ||||
\(474\) | 1.41272e9 | 0.0279861 | ||||||||
\(475\) | −3.68615e10 | − | 7.65438e10i | −0.724101 | − | 1.50361i | ||||
\(476\) | 2.44157e9 | + | 3.58113e9i | 0.0475600 | + | 0.0697578i | ||||
\(477\) | 2.82714e9 | − | 3.54512e9i | 0.0546101 | − | 0.0684789i | ||||
\(478\) | −4.02061e9 | + | 4.33319e9i | −0.0770159 | + | 0.0830034i | ||||
\(479\) | 2.53709e10 | − | 4.39437e10i | 0.481941 | − | 0.834746i | −0.517844 | − | 0.855475i | \(-0.673265\pi\) |
0.999785 | + | 0.0207286i | \(0.00659858\pi\) | |||||||
\(480\) | 1.15628e10 | − | 6.67577e9i | 0.217820 | − | 0.125758i | ||||
\(481\) | 1.36433e10 | + | 3.11400e9i | 0.254882 | + | 0.0581752i | ||||
\(482\) | −1.96469e9 | + | 5.00594e9i | −0.0364003 | + | 0.0927465i | ||||
\(483\) | 1.27420e10 | + | 3.93039e9i | 0.234126 | + | 0.0722183i | ||||
\(484\) | 7.68030e10 | + | 9.63079e10i | 1.39958 | + | 1.75501i | ||||
\(485\) | −1.40644e11 | − | 1.05398e10i | −2.54188 | − | 0.190488i | ||||
\(486\) | 7.74025e9 | − | 2.38755e9i | 0.138743 | − | 0.0427964i | ||||
\(487\) | 2.78405e10 | + | 1.89814e10i | 0.494950 | + | 0.337452i | 0.784933 | − | 0.619580i | \(-0.212697\pi\) |
−0.289983 | + | 0.957032i | \(0.593650\pi\) | |||||||
\(488\) | −4.46668e9 | − | 6.73243e8i | −0.0787599 | − | 0.0118711i | ||||
\(489\) | 2.53033e9 | + | 1.10861e10i | 0.0442529 | + | 0.193884i | ||||
\(490\) | 7.53058e9 | − | 6.98735e9i | 0.130630 | − | 0.121207i | ||||
\(491\) | −1.78052e9 | + | 1.33431e8i | −0.0306352 | + | 0.00229579i | −0.0900389 | − | 0.995938i | \(-0.528699\pi\) |
0.0594037 | + | 0.998234i | \(0.481080\pi\) | |||||||
\(492\) | −8.18025e9 | + | 3.21051e9i | −0.139607 | + | 0.0547916i | ||||
\(493\) | 9.59014e8 | + | 6.36264e9i | 0.0162344 | + | 0.107709i | ||||
\(494\) | 6.82362e9 | + | 3.28608e9i | 0.114580 | + | 0.0551786i | ||||
\(495\) | 5.88190e10 | − | 1.22139e11i | 0.979709 | − | 2.03439i | ||||
\(496\) | 8.26431e9 | − | 1.24564e9i | 0.136546 | − | 0.0205810i | ||||
\(497\) | −1.35561e10 | − | 3.45403e10i | −0.222182 | − | 0.566110i | ||||
\(498\) | 1.68940e8 | + | 2.25435e9i | 0.00274673 | + | 0.0366526i | ||||
\(499\) | 7.35915e10 | + | 7.93128e10i | 1.18693 | + | 1.27921i | 0.951616 | + | 0.307289i | \(0.0994217\pi\) |
0.235315 | + | 0.971919i | \(0.424388\pi\) | |||||||
\(500\) | −1.00887e10 | + | 2.30268e9i | −0.161419 | + | 0.0368429i | ||||
\(501\) | −6.65324e9 | + | 4.41414e10i | −0.105604 | + | 0.700640i | ||||
\(502\) | 2.95995e9 | − | 4.34144e9i | 0.0466089 | − | 0.0683627i | ||||
\(503\) | −3.01452e10 | − | 9.77283e10i | −0.470919 | − | 1.52668i | −0.810291 | − | 0.586028i | \(-0.800691\pi\) |
0.339372 | − | 0.940652i | \(-0.389785\pi\) | |||||||
\(504\) | −5.88276e8 | + | 7.85000e9i | −0.00911715 | + | 0.121660i | ||||
\(505\) | −7.72840e10 | + | 6.16319e10i | −1.18829 | + | 0.947633i | ||||
\(506\) | −7.58381e9 | + | 2.45861e10i | −0.115687 | + | 0.375049i | ||||
\(507\) | 1.64927e10 | + | 6.47291e9i | 0.249609 | + | 0.0979642i | ||||
\(508\) | 2.02582e10 | − | 8.87571e10i | 0.304191 | − | 1.33275i | ||||
\(509\) | −2.69707e10 | − | 4.67146e10i | −0.401810 | − | 0.695956i | 0.592134 | − | 0.805839i | \(-0.298286\pi\) |
−0.993944 | + | 0.109884i | \(0.964952\pi\) | |||||||
\(510\) | −9.47768e8 | − | 5.47194e8i | −0.0140095 | − | 0.00808837i | ||||
\(511\) | −6.02365e9 | − | 5.58913e9i | −0.0883439 | − | 0.0819711i | ||||
\(512\) | 3.79280e10 | + | 3.02465e10i | 0.551924 | + | 0.440145i | ||||
\(513\) | −6.05388e10 | + | 4.12747e10i | −0.874107 | + | 0.595956i | ||||
\(514\) | −1.53398e10 | + | 7.38726e9i | −0.219770 | + | 0.105835i | ||||
\(515\) | 1.13870e9i | 0.0161875i | ||||||||
\(516\) | 7.09548e9 | − | 2.54332e10i | 0.100088 | − | 0.358758i | ||||
\(517\) | −1.01050e11 | −1.41440 | ||||||||
\(518\) | 1.08220e9 | + | 2.24722e9i | 0.0150311 | + | 0.0312124i | ||||
\(519\) | −2.02093e10 | − | 2.96416e10i | −0.278537 | − | 0.408538i | ||||
\(520\) | 1.11498e10 | − | 1.39814e10i | 0.152494 | − | 0.191222i | ||||
\(521\) | 9.78375e9 | − | 1.05444e10i | 0.132787 | − | 0.143110i | −0.663158 | − | 0.748480i | \(-0.730784\pi\) |
0.795945 | + | 0.605370i | \(0.206975\pi\) | |||||||
\(522\) | −2.88566e9 | + | 4.99811e9i | −0.0388654 | + | 0.0673168i | ||||
\(523\) | −4.01743e10 | + | 2.31946e10i | −0.536959 | + | 0.310013i | −0.743846 | − | 0.668351i | \(-0.767000\pi\) |
0.206887 | + | 0.978365i | \(0.433667\pi\) | |||||||
\(524\) | 8.03682e10 | + | 1.83435e10i | 1.06601 | + | 0.243309i | ||||
\(525\) | −5.48274e9 | + | 1.39698e10i | −0.0721706 | + | 0.183888i | ||||
\(526\) | −1.92606e10 | − | 5.94110e9i | −0.251609 | − | 0.0776111i | ||||
\(527\) | −1.33684e9 | − | 1.67635e9i | −0.0173316 | − | 0.0217331i | ||||
\(528\) | −4.98608e10 | − | 3.73655e9i | −0.641539 | − | 0.0480767i | ||||
\(529\) | 6.87046e10 | − | 2.11926e10i | 0.877330 | − | 0.270621i | ||||
\(530\) | −1.51692e9 | − | 1.03422e9i | −0.0192247 | − | 0.0131072i | ||||
\(531\) | 8.11368e10 | + | 1.22294e10i | 1.02056 | + | 0.153825i | ||||
\(532\) | −1.20449e10 | − | 5.27723e10i | −0.150369 | − | 0.658809i | ||||
\(533\) | −1.29953e10 | + | 1.20579e10i | −0.161019 | + | 0.149404i | ||||
\(534\) | −6.40809e9 | + | 4.80220e8i | −0.0788068 | + | 0.00590575i | ||||
\(535\) | 1.38209e11 | − | 5.42429e10i | 1.68702 | − | 0.662106i | ||||
\(536\) | −4.62615e9 | − | 3.06925e10i | −0.0560481 | − | 0.371855i | ||||
\(537\) | −5.35602e10 | − | 2.57933e10i | −0.644088 | − | 0.310177i | ||||
\(538\) | −9.11457e9 | + | 1.89266e10i | −0.108795 | + | 0.225914i | ||||
\(539\) | −1.19066e11 | + | 1.79462e10i | −1.41069 | + | 0.212627i | ||||
\(540\) | 3.12138e10 | + | 7.95316e10i | 0.367090 | + | 0.935329i | ||||
\(541\) | −8.37651e9 | − | 1.11777e11i | −0.0977854 | − | 1.30486i | −0.803050 | − | 0.595911i | \(-0.796791\pi\) |
0.705265 | − | 0.708944i | \(-0.250828\pi\) | |||||||
\(542\) | −3.77345e9 | − | 4.06681e9i | −0.0437262 | − | 0.0471256i | ||||
\(543\) | 9.43850e9 | − | 2.15428e9i | 0.108568 | − | 0.0247800i | ||||
\(544\) | 1.10379e9 | − | 7.32314e9i | 0.0126034 | − | 0.0836183i | ||||
\(545\) | 2.84275e10 | − | 4.16956e10i | 0.322221 | − | 0.472611i | ||||
\(546\) | −3.94335e8 | − | 1.27840e9i | −0.00443706 | − | 0.0143846i | ||||
\(547\) | −1.41315e9 | + | 1.88572e10i | −0.0157848 | + | 0.210634i | 0.983734 | + | 0.179629i | \(0.0574898\pi\) |
−0.999519 | + | 0.0310048i | \(0.990129\pi\) | |||||||
\(548\) | 8.20985e10 | − | 6.54714e10i | 0.910360 | − | 0.725988i | ||||
\(549\) | 5.91199e9 | − | 1.91662e10i | 0.0650795 | − | 0.210983i | ||||
\(550\) | −2.69551e10 | − | 1.05791e10i | −0.294572 | − | 0.115611i | ||||
\(551\) | 1.78816e10 | − | 7.83442e10i | 0.193999 | − | 0.849964i | ||||
\(552\) | −7.56370e9 | − | 1.31007e10i | −0.0814663 | − | 0.141104i | ||||
\(553\) | −1.76397e10 | − | 1.01843e10i | −0.188621 | − | 0.108900i | ||||
\(554\) | 1.13641e10 | + | 1.05444e10i | 0.120642 | + | 0.111939i | ||||
\(555\) | 1.97445e10 | + | 1.57457e10i | 0.208101 | + | 0.165955i | ||||
\(556\) | 1.04171e11 | − | 7.10224e10i | 1.09005 | − | 0.743184i | ||||
\(557\) | −1.22759e11 | + | 5.91177e10i | −1.27536 | + | 0.614181i | −0.944194 | − | 0.329391i | \(-0.893157\pi\) |
−0.331167 | + | 0.943572i | \(0.607442\pi\) | |||||||
\(558\) | − | 1.92314e9i | − | 0.0198369i | ||||||
\(559\) | −5.42011e9 | − | 5.29898e10i | −0.0555087 | − | 0.542681i | ||||
\(560\) | −6.15048e10 | −0.625399 | ||||||||
\(561\) | 5.56564e9 | + | 1.15572e10i | 0.0561906 | + | 0.116681i | ||||
\(562\) | 8.57889e9 | + | 1.25829e10i | 0.0859975 | + | 0.126135i | ||||
\(563\) | −1.02110e10 | + | 1.28042e10i | −0.101633 | + | 0.127444i | −0.830047 | − | 0.557694i | \(-0.811686\pi\) |
0.728414 | + | 0.685137i | \(0.240258\pi\) | |||||||
\(564\) | 1.99564e10 | − | 2.15078e10i | 0.197226 | − | 0.212560i | ||||
\(565\) | 5.29769e10 | − | 9.17587e10i | 0.519868 | − | 0.900437i | ||||
\(566\) | −1.43390e10 | + | 8.27861e9i | −0.139718 | + | 0.0806663i | ||||
\(567\) | −2.72726e10 | − | 6.22478e9i | −0.263872 | − | 0.0602271i | ||||
\(568\) | −1.53789e10 | + | 3.91847e10i | −0.147751 | + | 0.376464i | ||||
\(569\) | −7.06586e10 | − | 2.17953e10i | −0.674087 | − | 0.207928i | −0.0612319 | − | 0.998124i | \(-0.519503\pi\) |
−0.612855 | + | 0.790195i | \(0.709979\pi\) | |||||||
\(570\) | 8.52157e9 | + | 1.06857e10i | 0.0807273 | + | 0.101229i | ||||
\(571\) | 5.21663e10 | + | 3.90933e9i | 0.490734 | + | 0.0367754i | 0.317799 | − | 0.948158i | \(-0.397056\pi\) |
0.172934 | + | 0.984933i | \(0.444675\pi\) | |||||||
\(572\) | −9.89145e10 | + | 3.05111e10i | −0.924008 | + | 0.285019i | ||||
\(573\) | −1.88704e10 | − | 1.28656e10i | −0.175050 | − | 0.119347i | ||||
\(574\) | −3.12437e9 | − | 4.70923e8i | −0.0287816 | − | 0.00433812i | ||||
\(575\) | 3.76179e10 | + | 1.64815e11i | 0.344130 | + | 1.50773i | ||||
\(576\) | −5.90717e10 | + | 5.48106e10i | −0.536648 | + | 0.497937i | ||||
\(577\) | −5.71938e10 | + | 4.28608e9i | −0.515995 | + | 0.0386685i | −0.330183 | − | 0.943917i | \(-0.607111\pi\) |
−0.185812 | + | 0.982585i | \(0.559492\pi\) | |||||||
\(578\) | 1.56412e10 | − | 6.13872e9i | 0.140139 | − | 0.0550005i | ||||
\(579\) | 6.97785e9 | + | 4.62950e10i | 0.0620879 | + | 0.411927i | ||||
\(580\) | −8.44238e10 | − | 4.06563e10i | −0.746024 | − | 0.359266i | ||||
\(581\) | 1.41422e10 | − | 2.93665e10i | 0.124111 | − | 0.257720i | ||||
\(582\) | 1.18363e10 | − | 1.78404e9i | 0.103163 | − | 0.0155494i | ||||
\(583\) | 7.86188e9 | + | 2.00317e10i | 0.0680537 | + | 0.173398i | ||||
\(584\) | 6.96644e8 | + | 9.29607e9i | 0.00598907 | + | 0.0799186i | ||||
\(585\) | 5.40090e10 | + | 5.82079e10i | 0.461151 | + | 0.497002i | ||||
\(586\) | 2.89975e10 | − | 6.61849e9i | 0.245907 | − | 0.0561266i | ||||
\(587\) | −3.00088e9 | + | 1.99095e10i | −0.0252753 | + | 0.167691i | −0.997907 | − | 0.0646602i | \(-0.979404\pi\) |
0.972632 | + | 0.232351i | \(0.0746417\pi\) | |||||||
\(588\) | 1.96945e10 | − | 2.88866e10i | 0.164754 | − | 0.241650i | ||||
\(589\) | 7.89281e9 | + | 2.55879e10i | 0.0655799 | + | 0.212605i | ||||
\(590\) | 2.48274e9 | − | 3.31299e10i | 0.0204891 | − | 0.273408i | ||||
\(591\) | 5.91582e10 | − | 4.71771e10i | 0.484915 | − | 0.386706i | ||||
\(592\) | −1.60943e10 | + | 5.21763e10i | −0.131034 | + | 0.424802i | ||||
\(593\) | −9.10267e9 | − | 3.57253e9i | −0.0736122 | − | 0.0288907i | 0.328249 | − | 0.944591i | \(-0.393541\pi\) |
−0.401861 | + | 0.915700i | \(0.631637\pi\) | |||||||
\(594\) | −5.55712e9 | + | 2.43473e10i | −0.0446380 | + | 0.195572i | ||||
\(595\) | 7.88944e9 | + | 1.36649e10i | 0.0629475 | + | 0.109028i | ||||
\(596\) | 9.53059e8 | + | 5.50249e8i | 0.00755327 | + | 0.00436088i | ||||
\(597\) | 4.82591e10 | + | 4.47779e10i | 0.379911 | + | 0.352506i | ||||
\(598\) | −1.17826e10 | − | 9.39632e9i | −0.0921376 | − | 0.0734773i | ||||
\(599\) | −1.15298e11 | + | 7.86089e10i | −0.895602 | + | 0.610611i | −0.921212 | − | 0.389061i | \(-0.872800\pi\) |
0.0256102 | + | 0.999672i | \(0.491847\pi\) | |||||||
\(600\) | 1.53391e10 | − | 7.38690e9i | 0.118357 | − | 0.0569977i | ||||
\(601\) | − | 5.53282e9i | − | 0.0424081i | −0.999775 | − | 0.0212040i | \(-0.993250\pi\) | ||
0.999775 | − | 0.0212040i | \(-0.00674996\pi\) | |||||||
\(602\) | 6.78171e9 | − | 6.64385e9i | 0.0516361 | − | 0.0505864i | ||||
\(603\) | 1.37823e11 | 1.04244 | ||||||||
\(604\) | 7.15900e9 | + | 1.48658e10i | 0.0537904 | + | 0.111697i | ||||
\(605\) | 2.52619e11 | + | 3.70523e11i | 1.88557 | + | 2.76563i | ||||
\(606\) | 5.23074e9 | − | 6.55914e9i | 0.0387858 | − | 0.0486358i | ||||
\(607\) | −1.41951e11 | + | 1.52987e11i | −1.04565 | + | 1.12694i | −0.0539226 | + | 0.998545i | \(0.517172\pi\) |
−0.991723 | + | 0.128393i | \(0.959018\pi\) | |||||||
\(608\) | −4.62449e10 | + | 8.00985e10i | −0.338415 | + | 0.586152i | ||||
\(609\) | −1.22932e10 | + | 7.09747e9i | −0.0893707 | + | 0.0515982i | ||||
\(610\) | −7.91744e9 | − | 1.80710e9i | −0.0571828 | − | 0.0130516i | ||||
\(611\) | 2.16240e10 | − | 5.50972e10i | 0.155157 | − | 0.395334i | ||||
\(612\) | 2.08631e10 | + | 6.43541e9i | 0.148721 | + | 0.0458744i | ||||
\(613\) | −1.27048e11 | − | 1.59313e11i | −0.899756 | − | 1.12826i | −0.991190 | − | 0.132447i | \(-0.957717\pi\) |
0.0914344 | − | 0.995811i | \(-0.470855\pi\) | |||||||
\(614\) | 2.39518e10 | + | 1.79494e9i | 0.168525 | + | 0.0126292i | ||||
\(615\) | −3.05704e10 | + | 9.42971e9i | −0.213698 | + | 0.0659171i | ||||
\(616\) | −3.08675e10 | − | 2.10451e10i | −0.214377 | − | 0.146160i | ||||
\(617\) | −1.39209e11 | − | 2.09823e10i | −0.960563 | − | 0.144782i | −0.350000 | − | 0.936750i | \(-0.613819\pi\) |
−0.610563 | + | 0.791968i | \(0.709057\pi\) | |||||||
\(618\) | −2.15049e7 | − | 9.42189e7i | −0.000147429 | − | 0.000645928i | ||||
\(619\) | 4.82339e10 | − | 4.47545e10i | 0.328541 | − | 0.304842i | −0.498604 | − | 0.866830i | \(-0.666154\pi\) |
0.827145 | + | 0.561988i | \(0.189963\pi\) | |||||||
\(620\) | 3.11369e10 | − | 2.33338e9i | 0.210721 | − | 0.0157914i | ||||
\(621\) | 1.35720e11 | − | 5.32660e10i | 0.912591 | − | 0.358166i | ||||
\(622\) | −2.54563e9 | − | 1.68891e10i | −0.0170072 | − | 0.112835i | ||||
\(623\) | 8.34755e10 | + | 4.01997e10i | 0.554124 | + | 0.266852i | ||||
\(624\) | 1.27072e10 | − | 2.63869e10i | 0.0838133 | − | 0.174040i | ||||
\(625\) | 1.31231e11 | − | 1.97799e10i | 0.860038 | − | 0.129630i | ||||
\(626\) | −1.27126e10 | − | 3.23913e10i | −0.0827825 | − | 0.210926i | ||||
\(627\) | −1.19717e10 | − | 1.59751e11i | −0.0774616 | − | 1.03365i | ||||
\(628\) | 2.87515e10 | + | 3.09868e10i | 0.184851 | + | 0.199222i | ||||
\(629\) | 1.36568e10 | − | 3.11707e9i | 0.0872461 | − | 0.0199134i | ||||
\(630\) | −2.10933e9 | + | 1.39945e10i | −0.0133901 | + | 0.0888373i | ||||
\(631\) | 2.57187e10 | − | 3.77224e10i | 0.162230 | − | 0.237948i | −0.736513 | − | 0.676423i | \(-0.763529\pi\) |
0.898743 | + | 0.438476i | \(0.144481\pi\) | |||||||
\(632\) | 6.81100e9 | + | 2.20807e10i | 0.0426916 | + | 0.138403i | ||||
\(633\) | −8.96565e9 | + | 1.19638e11i | −0.0558428 | + | 0.745170i | ||||
\(634\) | 5.18100e9 | − | 4.13171e9i | 0.0320669 | − | 0.0255725i | ||||
\(635\) | 9.76907e10 | − | 3.16706e11i | 0.600839 | − | 1.94787i | ||||
\(636\) | −5.81628e9 | − | 2.28272e9i | −0.0355481 | − | 0.0139516i | ||||
\(637\) | 1.56941e10 | − | 6.87606e10i | 0.0953191 | − | 0.417620i | ||||
\(638\) | −1.36948e10 | − | 2.37201e10i | −0.0826557 | − | 0.143164i | ||||
\(639\) | −1.61870e11 | − | 9.34557e10i | −0.970874 | − | 0.560534i | ||||
\(640\) | 1.04948e11 | + | 9.73774e10i | 0.625538 | + | 0.580414i | ||||
\(641\) | 1.75868e11 | + | 1.40250e11i | 1.04173 | + | 0.830752i | 0.985841 | − | 0.167685i | \(-0.0536291\pi\) |
0.0558897 | + | 0.998437i | \(0.482200\pi\) | |||||||
\(642\) | −1.04113e10 | + | 7.09834e9i | −0.0612868 | + | 0.0417846i | ||||
\(643\) | −1.58404e11 | + | 7.62832e10i | −0.926662 | + | 0.446257i | −0.835445 | − | 0.549574i | \(-0.814790\pi\) |
−0.0912169 | + | 0.995831i | \(0.529076\pi\) | |||||||
\(644\) | 1.07710e11i | 0.626201i | ||||||||
\(645\) | 3.26781e10 | − | 9.04002e10i | 0.188807 | − | 0.522313i | ||||
\(646\) | 7.58113e9 | 0.0435315 | ||||||||
\(647\) | 1.32325e11 | + | 2.74775e11i | 0.755135 | + | 1.56805i | 0.821467 | + | 0.570256i | \(0.193156\pi\) |
−0.0663324 | + | 0.997798i | \(0.521130\pi\) | |||||||
\(648\) | 1.78772e10 | + | 2.62210e10i | 0.101391 | + | 0.148713i | ||||
\(649\) | −2.42793e11 | + | 3.04452e11i | −1.36854 | + | 1.71609i | ||||
\(650\) | 1.15365e10 | − | 1.24334e10i | 0.0646278 | − | 0.0696522i | ||||
\(651\) | 2.36505e9 | − | 4.09638e9i | 0.0131679 | − | 0.0228074i | ||||
\(652\) | −7.95462e10 | + | 4.59260e10i | −0.440179 | + | 0.254137i | ||||
\(653\) | 1.72052e11 | + | 3.92697e10i | 0.946251 | + | 0.215976i | 0.667687 | − | 0.744442i | \(-0.267284\pi\) |
0.278564 | + | 0.960418i | \(0.410142\pi\) | |||||||
\(654\) | −1.56473e9 | + | 3.98687e9i | −0.00855320 | + | 0.0217932i | ||||
\(655\) | 2.86772e11 | + | 8.84575e10i | 1.55802 | + | 0.480584i | ||||
\(656\) | −4.31264e10 | − | 5.40788e10i | −0.232878 | − | 0.292019i | ||||
\(657\) | −4.12771e10 | − | 3.09329e9i | −0.221538 | − | 0.0166020i | ||||
\(658\) | 1.00807e10 | − | 3.10948e9i | 0.0537758 | − | 0.0165876i | ||||
\(659\) | −1.39662e11 | − | 9.52202e10i | −0.740522 | − | 0.504879i | 0.133330 | − | 0.991072i | \(-0.457433\pi\) |
−0.873852 | + | 0.486193i | \(0.838385\pi\) | |||||||
\(660\) | −1.84715e11 | − | 2.78414e10i | −0.973481 | − | 0.146729i | ||||
\(661\) | −4.33292e10 | − | 1.89838e11i | −0.226973 | − | 0.994435i | −0.952092 | − | 0.305811i | \(-0.901072\pi\) |
0.725119 | − | 0.688624i | \(-0.241785\pi\) | |||||||
\(662\) | −2.05877e10 | + | 1.91026e10i | −0.107195 | + | 0.0994629i | ||||
\(663\) | −7.49253e9 | + | 5.61488e8i | −0.0387770 | + | 0.00290594i | ||||
\(664\) | −3.44210e10 | + | 1.35092e10i | −0.177072 | + | 0.0694958i | ||||
\(665\) | −2.93700e10 | − | 1.94857e11i | −0.150182 | − | 0.996392i | ||||
\(666\) | 1.13200e10 | + | 5.45141e9i | 0.0575372 | + | 0.0277084i | ||||
\(667\) | −6.93795e10 | + | 1.44068e11i | −0.350532 | + | 0.727888i | ||||
\(668\) | −3.56557e11 | + | 5.37423e10i | −1.79070 | + | 0.269905i | ||||
\(669\) | 3.66452e10 | + | 9.33704e10i | 0.182941 | + | 0.466127i | ||||
\(670\) | −4.17019e9 | − | 5.56473e10i | −0.0206946 | − | 0.276150i | ||||
\(671\) | 6.47443e10 | + | 6.97778e10i | 0.319383 | + | 0.344213i | ||||
\(672\) | 1.59282e10 | − | 3.63550e9i | 0.0781067 | − | 0.0178274i | ||||
\(673\) | 1.56149e10 | − | 1.03598e11i | 0.0761165 | − | 0.505000i | −0.917991 | − | 0.396601i | \(-0.870190\pi\) |
0.994107 | − | 0.108399i | \(-0.0345724\pi\) | |||||||
\(674\) | 1.44459e10 | − | 2.11882e10i | 0.0700011 | − | 0.102673i | ||||
\(675\) | 4.83658e10 | + | 1.56798e11i | 0.232982 | + | 0.755310i | ||||
\(676\) | −1.06950e10 | + | 1.42714e11i | −0.0512144 | + | 0.683409i | ||||
\(677\) | −2.66615e11 | + | 2.12619e11i | −1.26920 | + | 1.01215i | −0.270422 | + | 0.962742i | \(0.587163\pi\) |
−0.998778 | + | 0.0494116i | \(0.984265\pi\) | |||||||
\(678\) | −2.65054e9 | + | 8.59285e9i | −0.0125434 | + | 0.0406648i | ||||
\(679\) | −1.60654e11 | − | 6.30519e10i | −0.755808 | − | 0.296633i | ||||
\(680\) | 3.98324e9 | − | 1.74517e10i | 0.0186295 | − | 0.0816212i | ||||
\(681\) | −1.61657e10 | − | 2.79998e10i | −0.0751634 | − | 0.130187i | ||||
\(682\) | 7.90409e9 | + | 4.56343e9i | 0.0365354 | + | 0.0210937i | ||||
\(683\) | −1.81060e11 | − | 1.67999e11i | −0.832033 | − | 0.772014i | 0.144014 | − | 0.989576i | \(-0.453999\pi\) |
−0.976046 | + | 0.217562i | \(0.930190\pi\) | |||||||
\(684\) | −2.13180e11 | − | 1.70005e11i | −0.973917 | − | 0.776673i | ||||
\(685\) | 3.15856e11 | − | 2.15347e11i | 1.43459 | − | 0.978084i | ||||
\(686\) | 2.57489e10 | − | 1.24000e10i | 0.116268 | − | 0.0559919i | ||||
\(687\) | − | 1.17945e11i | − | 0.529483i | ||||||
\(688\) | 2.07756e11 | − | 5.63815e9i | 0.927257 | − | 0.0251642i | ||||
\(689\) | −1.26046e10 | −0.0559311 | ||||||||
\(690\) | −1.18001e10 | − | 2.45032e10i | −0.0520584 | − | 0.108100i | ||||
\(691\) | −9.54964e9 | − | 1.40068e10i | −0.0418866 | − | 0.0614363i | 0.804724 | − | 0.593649i | \(-0.202313\pi\) |
−0.846611 | + | 0.532212i | \(0.821361\pi\) | |||||||
\(692\) | 1.80679e11 | − | 2.26565e11i | 0.787924 | − | 0.988026i | ||||
\(693\) | 1.12830e11 | − | 1.21602e11i | 0.489207 | − | 0.527239i | ||||
\(694\) | 2.85549e10 | − | 4.94585e10i | 0.123096 | − | 0.213208i | ||||
\(695\) | 3.97495e11 | − | 2.29494e11i | 1.70370 | − | 0.983631i | ||||
\(696\) | 1.56999e10 | + | 3.58339e9i | 0.0669051 | + | 0.0152706i | ||||
\(697\) | −6.48305e9 | + | 1.65185e10i | −0.0274693 | + | 0.0699907i | ||||
\(698\) | 5.51644e10 | + | 1.70160e10i | 0.232401 | + | 0.0716861i | ||||
\(699\) | 1.53417e10 | + | 1.92379e10i | 0.0642636 | + | 0.0805840i | ||||
\(700\) | −1.20883e11 | − | 9.05894e9i | −0.503470 | − | 0.0377299i | ||||
\(701\) | 3.20588e11 | − | 9.88882e10i | 1.32762 | − | 0.409518i | 0.451787 | − | 0.892126i | \(-0.350787\pi\) |
0.875836 | + | 0.482608i | \(0.160311\pi\) | |||||||
\(702\) | −1.20861e10 | − | 8.24019e9i | −0.0497667 | − | 0.0339304i | ||||
\(703\) | −1.72988e11 | − | 2.60738e10i | −0.708265 | − | 0.106754i | ||||
\(704\) | −8.50993e10 | − | 3.72845e11i | −0.346446 | − | 1.51788i | ||||
\(705\) | 7.82994e10 | − | 7.26512e10i | 0.316958 | − | 0.294094i | ||||
\(706\) | −2.01851e10 | + | 1.51267e9i | −0.0812479 | + | 0.00608869i | ||||
\(707\) | −1.12598e11 | + | 4.41913e10i | −0.450662 | + | 0.176872i | ||||
\(708\) | −1.68516e10 | − | 1.11803e11i | −0.0670671 | − | 0.444961i | ||||
\(709\) | 3.37170e11 | + | 1.62373e11i | 1.33433 | + | 0.642581i | 0.958761 | − | 0.284212i | \(-0.0917321\pi\) |
0.375572 | + | 0.926793i | \(0.377446\pi\) | |||||||
\(710\) | −3.28359e10 | + | 6.81844e10i | −0.129216 | + | 0.268319i | ||||
\(711\) | −1.01457e11 | + | 1.52922e10i | −0.397012 | + | 0.0598399i | ||||
\(712\) | −3.84006e10 | − | 9.78430e10i | −0.149423 | − | 0.380724i | ||||
\(713\) | −3.98189e9 | − | 5.31346e10i | −0.0154075 | − | 0.205598i | ||||
\(714\) | −9.10862e8 | − | 9.81675e8i | −0.00350477 | − | 0.00377724i | ||||
\(715\) | −3.67392e11 | + | 8.38549e10i | −1.40574 | + | 0.320852i | ||||
\(716\) | 7.15690e10 | − | 4.74829e11i | 0.272316 | − | 1.80670i | ||||
\(717\) | −4.12559e10 | + | 6.05113e10i | −0.156102 | + | 0.228960i | ||||
\(718\) | 1.63038e10 | + | 5.28557e10i | 0.0613468 | + | 0.198882i | ||||
\(719\) | −7.15759e9 | + | 9.55114e10i | −0.0267825 | + | 0.357388i | 0.967671 | + | 0.252214i | \(0.0811588\pi\) |
−0.994454 | + | 0.105173i | \(0.966460\pi\) | |||||||
\(720\) | −2.42227e11 | + | 1.93169e11i | −0.901347 | + | 0.718800i | ||||
\(721\) | −4.10707e8 | + | 1.33148e9i | −0.00151982 | + | 0.00492712i | ||||
\(722\) | −4.86773e10 | − | 1.91044e10i | −0.179134 | − | 0.0703049i | ||||
\(723\) | −1.48260e10 | + | 6.49570e10i | −0.0542589 | + | 0.237724i | ||||
\(724\) | 3.91006e10 | + | 6.77242e10i | 0.142308 | + | 0.246484i | ||||
\(725\) | −1.55852e11 | − | 8.99814e10i | −0.564107 | − | 0.325687i | ||||
\(726\) | −2.78998e10 | − | 2.58873e10i | −0.100428 | − | 0.0931837i | ||||
\(727\) | 3.23702e10 | + | 2.58144e10i | 0.115880 | + | 0.0924112i | 0.679715 | − | 0.733476i | \(-0.262103\pi\) |
−0.563835 | + | 0.825887i | \(0.690675\pi\) | |||||||
\(728\) | 1.80803e10 | − | 1.23269e10i | 0.0643693 | − | 0.0438863i | ||||
\(729\) | −5.81978e10 | + | 2.80266e10i | −0.206061 | + | 0.0992339i | ||||
\(730\) | 1.67596e10i | 0.0590165i | ||||||||
\(731\) | −2.79023e10 | − | 4.54353e10i | −0.0977170 | − | 0.159120i | ||||
\(732\) | −2.76382e10 | −0.0962642 | ||||||||
\(733\) | −6.82869e10 | − | 1.41799e11i | −0.236549 | − | 0.491199i | 0.748574 | − | 0.663052i | \(-0.230739\pi\) |
−0.985123 | + | 0.171852i | \(0.945025\pi\) | |||||||
\(734\) | 4.12329e9 | + | 6.04775e9i | 0.0142056 | + | 0.0208358i | ||||
\(735\) | 7.93563e10 | − | 9.95096e10i | 0.271914 | − | 0.340970i | ||||
\(736\) | 1.25180e11 | − | 1.34912e11i | 0.426604 | − | 0.459770i | ||||
\(737\) | −3.27040e11 | + | 5.66450e11i | −1.10849 | + | 1.91996i | ||||
\(738\) | −1.37838e10 | + | 7.95811e9i | −0.0464670 | + | 0.0268278i | ||||
\(739\) | 2.52832e11 | + | 5.77074e10i | 0.847725 | + | 0.193488i | 0.624253 | − | 0.781222i | \(-0.285404\pi\) |
0.223473 | + | 0.974710i | \(0.428261\pi\) | |||||||
\(740\) | −7.45271e10 | + | 1.89892e11i | −0.248535 | + | 0.633256i | ||||
\(741\) | 8.96659e10 | + | 2.76583e10i | 0.297409 | + | 0.0917386i | ||||
\(742\) | −1.40071e9 | − | 1.75643e9i | −0.00462096 | − | 0.00579451i | ||||
\(743\) | 2.64316e10 | + | 1.98078e9i | 0.0867299 | + | 0.00649951i | 0.118024 | − | 0.993011i | \(-0.462344\pi\) |
−0.0312944 | + | 0.999510i | \(0.509963\pi\) | |||||||
\(744\) | −5.12771e9 | + | 1.58169e9i | −0.0167352 | + | 0.00516213i | ||||
\(745\) | 3.31021e9 | + | 2.25687e9i | 0.0107456 | + | 0.00732623i | ||||
\(746\) | 4.14141e10 | + | 6.24216e9i | 0.133719 | + | 0.0201549i | ||||
\(747\) | −3.65353e10 | − | 1.60072e11i | −0.117336 | − | 0.514082i | ||||
\(748\) | −7.59555e10 | + | 7.04765e10i | −0.242635 | + | 0.225132i | ||||
\(749\) | 1.81172e11 | − | 1.35769e10i | 0.575656 | − | 0.0431394i | ||||
\(750\) | 2.97627e9 | − | 1.16810e9i | 0.00940648 | − | 0.00369177i | ||||
\(751\) | 8.48523e10 | + | 5.62958e11i | 0.266750 | + | 1.76977i | 0.574699 | + | 0.818365i | \(0.305119\pi\) |
−0.307949 | + | 0.951403i | \(0.599643\pi\) | |||||||
\(752\) | 2.08070e11 | + | 1.00201e11i | 0.650637 | + | 0.313330i | ||||
\(753\) | 2.82462e10 | − | 5.86539e10i | 0.0878578 | − | 0.182439i | ||||
\(754\) | 1.58639e10 | − | 2.39110e9i | 0.0490823 | − | 0.00739796i | ||||
\(755\) | 2.19452e10 | + | 5.59154e10i | 0.0675384 | + | 0.172085i | ||||
\(756\) | 7.81279e9 | + | 1.04254e11i | 0.0239177 | + | 0.319159i | ||||
\(757\) | −3.23290e11 | − | 3.48423e11i | −0.984483 | − | 1.06102i | −0.998131 | − | 0.0611136i | \(-0.980535\pi\) |
0.0136477 | − | 0.999907i | \(-0.495656\pi\) | |||||||
\(758\) | −6.99283e10 | + | 1.59607e10i | −0.211825 | + | 0.0483476i | ||||
\(759\) | −4.75109e10 | + | 3.15215e11i | −0.143162 | + | 0.949815i | ||||
\(760\) | −1.25933e11 | + | 1.84710e11i | −0.377473 | + | 0.553651i | ||||
\(761\) | 6.59985e10 | + | 2.13962e11i | 0.196786 | + | 0.637966i | 0.999154 | + | 0.0411352i | \(0.0130974\pi\) |
−0.802367 | + | 0.596831i | \(0.796426\pi\) | |||||||
\(762\) | −2.10206e9 | + | 2.80500e10i | −0.00623483 | + | 0.0831980i | ||||
\(763\) | 4.82791e10 | − | 3.85013e10i | 0.142449 | − | 0.113600i | ||||
\(764\) | 5.43775e10 | − | 1.76288e11i | 0.159605 | − | 0.517426i | ||||
\(765\) | 7.39889e10 | + | 2.90385e10i | 0.216033 | + | 0.0847869i | ||||
\(766\) | 5.60103e9 | − | 2.45397e10i | 0.0162687 | − | 0.0712779i | ||||
\(767\) | −1.14046e11 | − | 1.97533e11i | −0.329532 | − | 0.570766i | ||||
\(768\) | 8.80395e10 | + | 5.08296e10i | 0.253065 | + | 0.146107i | ||||
\(769\) | −3.72994e11 | − | 3.46088e11i | −1.06659 | − | 0.989649i | −0.0666206 | − | 0.997778i | \(-0.521222\pi\) |
−0.999967 | + | 0.00812973i | \(0.997412\pi\) | |||||||
\(770\) | −5.25120e10 | − | 4.18770e10i | −0.149381 | − | 0.119128i | ||||
\(771\) | −1.74291e11 | + | 1.18829e11i | −0.493238 | + | 0.336284i | ||||
\(772\) | −3.40725e11 | + | 1.64085e11i | −0.959258 | + | 0.461954i | ||||
\(773\) | − | 1.76104e11i | − | 0.493231i | −0.969113 | − | 0.246615i | \(-0.920682\pi\) | ||
0.969113 | − | 0.246615i | \(-0.0793184\pi\) | |||||||
\(774\) | 5.84220e9 | − | 4.74652e10i | 0.0162784 | − | 0.132255i | ||||
\(775\) | 5.99679e10 | 0.166231 | ||||||||
\(776\) | 8.49500e10 | + | 1.76400e11i | 0.234270 | + | 0.486466i | ||||
\(777\) | 1.74080e10 | + | 2.55329e10i | 0.0477601 | + | 0.0700513i | ||||
\(778\) | −1.79101e10 | + | 2.24586e10i | −0.0488855 | + | 0.0613004i | ||||
\(779\) | 1.50737e11 | − | 1.62455e11i | 0.409326 | − | 0.441148i | ||||
\(780\) | 5.47084e10 | − | 9.47577e10i | 0.147800 | − | 0.255998i | ||||
\(781\) | 7.68204e11 | − | 4.43523e11i | 2.06477 | − | 1.19210i | ||||
\(782\) | −1.47072e10 | − | 3.35682e9i | −0.0393281 | − | 0.00897638i | ||||
\(783\) | −5.67035e10 | + | 1.44478e11i | −0.150856 | + | 0.384375i | ||||
\(784\) | 2.62962e11 | + | 8.11129e10i | 0.696030 | + | 0.214697i | ||||
\(785\) | 9.59473e10 | + | 1.20314e11i | 0.252670 | + | 0.316838i | ||||
\(786\) | −2.53989e10 | − | 1.90338e9i | −0.0665463 | − | 0.00498696i | ||||
\(787\) | −1.78651e10 | + | 5.51065e9i | −0.0465700 | + | 0.0143649i | −0.317953 | − | 0.948107i | \(-0.602995\pi\) |
0.271383 | + | 0.962472i | \(0.412519\pi\) | |||||||
\(788\) | 5.04999e11 | + | 3.44302e11i | 1.30974 | + | 0.892966i | ||||
\(789\) | −2.46937e11 | − | 3.72198e10i | −0.637203 | − | 0.0960430i | ||||
\(790\) | 9.24422e9 | + | 4.05016e10i | 0.0237335 | + | 0.103983i | ||||
\(791\) | 9.50414e10 | − | 8.81855e10i | 0.242777 | − | 0.225264i | ||||
\(792\) | −1.87663e11 | + | 1.40634e10i | −0.476957 | + | 0.0357430i | ||||
\(793\) | −5.19010e10 | + | 2.03697e10i | −0.131245 | + | 0.0515099i | ||||
\(794\) | 4.23901e9 | + | 2.81240e10i | 0.0106655 | + | 0.0707611i | ||||
\(795\) | −2.04939e10 | − | 9.86936e9i | −0.0513047 | − | 0.0247070i | ||||
\(796\) | −2.30728e11 | + | 4.79112e11i | −0.574710 | + | 1.19340i | ||||
\(797\) | 3.56053e11 | − | 5.36663e10i | 0.882431 | − | 0.133005i | 0.307833 | − | 0.951440i | \(-0.400396\pi\) |
0.574599 | + | 0.818435i | \(0.305158\pi\) | |||||||
\(798\) | 6.11013e9 | + | 1.55684e10i | 0.0150674 | + | 0.0383912i | ||||
\(799\) | −4.42754e9 | − | 5.90814e10i | −0.0108636 | − | 0.144965i | ||||
\(800\) | 1.40884e11 | + | 1.51837e11i | 0.343955 | + | 0.370695i | ||||
\(801\) | 4.55011e11 | − | 1.03853e11i | 1.10533 | − | 0.252284i | ||||
\(802\) | 1.05896e10 | − | 7.02572e10i | 0.0255965 | − | 0.169822i | ||||
\(803\) | 1.10660e11 | − | 1.62308e11i | 0.266151 | − | 0.390372i | ||||
\(804\) | −5.59782e10 | − | 1.81477e11i | −0.133966 | − | 0.434307i | ||||
\(805\) | −2.93031e10 | + | 3.91023e11i | −0.0697799 | + | 0.931148i | ||||
\(806\) | −4.17962e9 | + | 3.33314e9i | −0.00990369 | + | 0.00789793i | ||||
\(807\) | −7.67155e10 | + | 2.48705e11i | −0.180879 | + | 0.586396i | ||||
\(808\) | 1.27738e11 | + | 5.01333e10i | 0.299691 | + | 0.117620i | ||||
\(809\) | 4.62648e9 | − | 2.02699e10i | 0.0108008 | − | 0.0473215i | −0.969240 | − | 0.246116i | \(-0.920846\pi\) |
0.980041 | + | 0.198795i | \(0.0637027\pi\) | |||||||
\(810\) | 2.85274e10 | + | 4.94110e10i | 0.0662709 | + | 0.114785i | ||||
\(811\) | 7.09283e10 | + | 4.09505e10i | 0.163959 | + | 0.0946619i | 0.579734 | − | 0.814806i | \(-0.303156\pi\) |
−0.415775 | + | 0.909467i | \(0.636490\pi\) | |||||||
\(812\) | −8.40526e10 | − | 7.79894e10i | −0.193342 | − | 0.179396i | ||||
\(813\) | −5.37392e10 | − | 4.28556e10i | −0.123007 | − | 0.0980946i | ||||
\(814\) | −4.92665e10 | + | 3.35893e10i | −0.112216 | + | 0.0765074i | ||||
\(815\) | −3.01273e11 | + | 1.45085e11i | −0.682856 | + | 0.328846i | ||||
\(816\) | − | 2.93161e10i | − | 0.0661220i | ||||||
\(817\) | 1.17071e11 | + | 6.55514e11i | 0.262761 | + | 1.47127i | ||||
\(818\) | 8.23525e10 | 0.183935 | ||||||||
\(819\) | 4.21582e10 | + | 8.75424e10i | 0.0937015 | + | 0.194573i | ||||
\(820\) | −1.45571e11 | − | 2.13514e11i | −0.321973 | − | 0.472248i | ||||
\(821\) | 3.54298e11 | − | 4.44276e11i | 0.779824 | − | 0.977868i | −0.220173 | − | 0.975461i | \(-0.570662\pi\) |
0.999997 | − | 0.00240739i | \(-0.000766298\pi\) | |||||||
\(822\) | −2.20678e10 | + | 2.37835e10i | −0.0483362 | + | 0.0520940i | ||||
\(823\) | 1.25097e11 | − | 2.16674e11i | 0.272676 | − | 0.472288i | −0.696870 | − | 0.717197i | \(-0.745425\pi\) |
0.969546 | + | 0.244909i | \(0.0787580\pi\) | |||||||
\(824\) | 1.36896e9 | − | 7.90370e8i | 0.00296949 | − | 0.00171444i | ||||
\(825\) | −3.49769e11 | − | 7.98326e10i | −0.755033 | − | 0.172331i | ||||
\(826\) | 1.48524e10 | − | 3.78432e10i | 0.0319062 | − | 0.0812958i | ||||
\(827\) | −5.62683e9 | − | 1.73565e9i | −0.0120293 | − | 0.00371056i | 0.288735 | − | 0.957409i | \(-0.406765\pi\) |
−0.300764 | + | 0.953699i | \(0.597242\pi\) | |||||||
\(828\) | 3.38288e11 | + | 4.24199e11i | 0.719722 | + | 0.902503i | ||||
\(829\) | −7.86350e11 | − | 5.89287e10i | −1.66494 | − | 0.124770i | −0.791325 | − | 0.611395i | \(-0.790609\pi\) |
−0.873611 | + | 0.486626i | \(0.838228\pi\) | |||||||
\(830\) | −6.35251e10 | + | 1.95949e10i | −0.133855 | + | 0.0412887i | ||||
\(831\) | 1.58696e11 | + | 1.08197e11i | 0.332783 | + | 0.226888i | ||||
\(832\) | 2.21503e11 | + | 3.33862e10i | 0.462260 | + | 0.0696746i | ||||
\(833\) | −1.57096e10 | − | 6.88285e10i | −0.0326277 | − | 0.142951i | ||||
\(834\) | −2.85557e10 | + | 2.64958e10i | −0.0590240 | + | 0.0547663i | ||||
\(835\) | −1.30904e12 | + | 9.80988e10i | −2.69281 | + | 0.201798i | ||||
\(836\) | 1.20458e12 | − | 4.72761e11i | 2.46609 | − | 0.967870i | ||||
\(837\) | −7.70827e9 | − | 5.11410e10i | −0.0157056 | − | 0.104200i | ||||
\(838\) | 3.65701e9 | + | 1.76112e9i | 0.00741566 | + | 0.00357119i | ||||
\(839\) | −3.09427e11 | + | 6.42533e11i | −0.624469 | + | 1.29672i | 0.313363 | + | 0.949634i | \(0.398545\pi\) |
−0.937832 | + | 0.347090i | \(0.887170\pi\) | |||||||
\(840\) | 3.90487e10 | − | 5.88564e9i | 0.0784312 | − | 0.0118216i | ||||
\(841\) | 1.20571e11 | + | 3.07210e11i | 0.241024 | + | 0.614118i | ||||
\(842\) | −2.74211e9 | − | 3.65910e10i | −0.00545553 | − | 0.0727990i | ||||
\(843\) | 1.28338e11 | + | 1.38315e11i | 0.254123 | + | 0.273879i | ||||
\(844\) | −9.44803e11 | + | 2.15645e11i | −1.86197 | + | 0.424981i | ||||
\(845\) | −7.76523e10 | + | 5.15189e11i | −0.152310 | + | 1.01051i | ||||
\(846\) | 2.99352e10 | − | 4.39068e10i | 0.0584387 | − | 0.0857138i | ||||
\(847\) | 1.61746e11 | + | 5.24367e11i | 0.314267 | + | 1.01883i | ||||
\(848\) | 3.67526e9 | − | 4.90429e10i | 0.00710730 | − | 0.0948403i | ||||
\(849\) | −1.60383e11 | + | 1.27901e11i | −0.308694 | + | 0.246175i | ||||
\(850\) | 5.00430e9 | − | 1.62236e10i | 0.00958668 | − | 0.0310792i | ||||
\(851\) | 3.24048e11 | + | 1.27179e11i | 0.617861 | + | 0.242493i | ||||
\(852\) | −5.73117e10 | + | 2.51099e11i | −0.108764 | + | 0.476526i | ||||
\(853\) | −4.31958e11 | − | 7.48173e11i | −0.815916 | − | 1.41321i | −0.908669 | − | 0.417518i | \(-0.862900\pi\) |
0.0927529 | − | 0.995689i | \(-0.470433\pi\) | |||||||
\(854\) | −8.60606e9 | − | 4.96871e9i | −0.0161798 | − | 0.00934140i | ||||
\(855\) | −7.27662e11 | − | 6.75171e11i | −1.36165 | − | 1.26343i | ||||
\(856\) | −1.61142e11 | − | 1.28507e11i | −0.300133 | − | 0.239348i | ||||
\(857\) | 1.34275e11 | − | 9.15471e10i | 0.248927 | − | 0.169715i | −0.432429 | − | 0.901668i | \(-0.642343\pi\) |
0.681355 | + | 0.731953i | \(0.261391\pi\) | |||||||
\(858\) | 2.88154e10 | − | 1.38768e10i | 0.0531710 | − | 0.0256058i | ||||
\(859\) | − | 4.86039e11i | − | 0.892685i | −0.894862 | − | 0.446342i | \(-0.852726\pi\) | ||
0.894862 | − | 0.446342i | \(-0.147274\pi\) | |||||||
\(860\) | 7.75580e11 | + | 3.69985e10i | 1.41786 | + | 0.0676379i | ||||
\(861\) | −3.91470e10 | −0.0712338 | ||||||||
\(862\) | 1.16170e9 | + | 2.41229e9i | 0.00210409 | + | 0.00436919i | ||||
\(863\) | 2.69589e11 | + | 3.95414e11i | 0.486025 | + | 0.712867i | 0.988415 | − | 0.151774i | \(-0.0484984\pi\) |
−0.502391 | + | 0.864641i | \(0.667546\pi\) | |||||||
\(864\) | 1.11378e11 | − | 1.39664e11i | 0.199869 | − | 0.250628i | ||||
\(865\) | 7.17563e11 | − | 7.73349e11i | 1.28173 | − | 1.38137i | ||||
\(866\) | −3.72715e10 | + | 6.45561e10i | −0.0662682 | + | 0.114780i | ||||
\(867\) | 1.80289e11 | − | 1.04090e11i | 0.319075 | − | 0.184218i | ||||
\(868\) | 3.72499e10 | + | 8.50204e9i | 0.0656215 | + | 0.0149777i | ||||
\(869\) | 1.77897e11 | − | 4.53274e11i | 0.311953 | − | 0.794843i | ||||
\(870\) | 2.76654e10 | + | 8.53365e9i | 0.0482903 | + | 0.0148956i | ||||
\(871\) | −2.38871e11 | − | 2.99534e11i | −0.415040 | − | 0.520444i | ||||
\(872\) | −6.98585e10 | − | 5.23517e9i | −0.120824 | − | 0.00905452i | ||||
\(873\) | −8.30737e11 | + | 2.56248e11i | −1.43023 | + | 0.441168i | ||||
\(874\) | 1.55662e11 | + | 1.06128e11i | 0.266769 | + | 0.181880i | ||||
\(875\) | −4.55835e10 | − | 6.87061e9i | −0.0777635 | − | 0.0117210i | ||||
\(876\) | 1.26921e10 | + | 5.56076e10i | 0.0215534 | + | 0.0944318i | ||||
\(877\) | 4.90195e11 | − | 4.54834e11i | 0.828648 | − | 0.768873i | −0.146785 | − | 0.989168i | \(-0.546893\pi\) |
0.975433 | + | 0.220295i | \(0.0707021\pi\) | |||||||
\(878\) | 1.18053e10 | − | 8.84687e8i | 0.0198655 | − | 0.00148872i | ||||
\(879\) | 3.43034e11 | − | 1.34631e11i | 0.574622 | − | 0.225522i | ||||
\(880\) | −2.19144e11 | − | 1.45392e12i | −0.365425 | − | 2.42443i | ||||
\(881\) | −7.00782e10 | − | 3.37479e10i | −0.116327 | − | 0.0560200i | 0.374815 | − | 0.927099i | \(-0.377706\pi\) |
−0.491142 | + | 0.871079i | \(0.663420\pi\) | |||||||
\(882\) | 2.74744e10 | − | 5.70512e10i | 0.0453998 | − | 0.0942737i | ||||
\(883\) | −1.71617e11 | + | 2.58671e10i | −0.282304 | + | 0.0425505i | −0.288668 | − | 0.957429i | \(-0.593212\pi\) |
0.00636378 | + | 0.999980i | \(0.497974\pi\) | |||||||
\(884\) | −2.21731e10 | − | 5.64961e10i | −0.0363092 | − | 0.0925144i | ||||
\(885\) | −3.07602e10 | − | 4.10467e11i | −0.0501437 | − | 0.669122i | ||||
\(886\) | −7.60191e10 | − | 8.19291e10i | −0.123364 | − | 0.132955i | ||||
\(887\) | −6.32693e11 | + | 1.44408e11i | −1.02211 | + | 0.233290i | −0.700554 | − | 0.713600i | \(-0.747064\pi\) |
−0.321558 | + | 0.946890i | \(0.604206\pi\) | |||||||
\(888\) | 5.22509e9 | − | 3.46662e10i | 0.00840314 | − | 0.0557512i | ||||
\(889\) | 2.28459e11 | − | 3.35088e11i | 0.365765 | − | 0.536478i | ||||
\(890\) | −5.56994e10 | − | 1.80573e11i | −0.0887749 | − | 0.287801i | ||||
\(891\) | 4.99757e10 | − | 6.66879e11i | 0.0792954 | − | 1.05812i | ||||
\(892\) | −6.33453e11 | + | 5.05162e11i | −1.00059 | + | 0.797941i | ||||
\(893\) | −2.18096e11 | + | 7.07049e11i | −0.342959 | + | 1.11184i | ||||
\(894\) | −3.16518e8 | − | 1.24224e8i | −0.000495505 | − | 0.000194471i | ||||
\(895\) | 3.88998e11 | − | 1.70431e12i | 0.606255 | − | 2.65618i | ||||
\(896\) | 8.75932e10 | + | 1.51716e11i | 0.135906 | + | 0.235396i | ||||
\(897\) | −1.61703e11 | − | 9.33592e10i | −0.249774 | − | 0.144207i | ||||
\(898\) | 7.87843e10 | + | 7.31012e10i | 0.121153 | + | 0.112414i | ||||
\(899\) | 4.43472e10 | + | 3.53657e10i | 0.0678934 | + | 0.0541432i | ||||
\(900\) | −5.04530e11 | + | 3.43983e11i | −0.768984 | + | 0.524284i | ||||
\(901\) | −1.13676e10 | + | 5.47435e9i | −0.0172492 | + | 0.00830679i | ||||
\(902\) | − | 7.55353e10i | − | 0.114110i | ||||||
\(903\) | 7.08161e10 | − | 9.39184e10i | 0.106508 | − | 0.141254i | ||||
\(904\) | −1.47085e11 | −0.220239 | ||||||||
\(905\) | 1.23523e11 | + | 2.56498e11i | 0.184142 | + | 0.382376i | ||||
\(906\) | −2.87179e9 | − | 4.21214e9i | −0.00426226 | − | 0.00625158i | ||||
\(907\) | −2.38661e11 | + | 2.99272e11i | −0.352657 | + | 0.442218i | −0.926243 | − | 0.376928i | \(-0.876981\pi\) |
0.573586 | + | 0.819146i | \(0.305552\pi\) | |||||||
\(908\) | 1.77634e11 | − | 1.91444e11i | 0.261327 | − | 0.281643i | ||||
\(909\) | −3.04655e11 | + | 5.27677e11i | −0.446223 | + | 0.772882i | ||||
\(910\) | 3.40706e10 | − | 1.96706e10i | 0.0496837 | − | 0.0286849i | ||||
\(911\) | −9.06098e11 | − | 2.06811e11i | −1.31553 | − | 0.300262i | −0.493522 | − | 0.869733i | \(-0.664291\pi\) |
−0.822011 | + | 0.569472i | \(0.807148\pi\) | |||||||
\(912\) | −1.33759e11 | + | 3.40813e11i | −0.193350 | + | 0.492648i | ||||
\(913\) | 7.44588e11 | + | 2.29675e11i | 1.07160 | + | 0.330545i | ||||
\(914\) | −6.15177e10 | − | 7.71407e10i | −0.0881485 | − | 0.110535i | ||||
\(915\) | −1.00335e11 | − | 7.51910e9i | −0.143143 | − | 0.0107271i | ||||
\(916\) | 9.10386e11 | − | 2.80817e11i | 1.29313 | − | 0.398879i | ||||
\(917\) | 3.03417e11 | + | 2.06866e11i | 0.429105 | + | 0.292559i | ||||
\(918\) | −1.44788e10 | − | 2.18233e9i | −0.0203874 | − | 0.00307291i | ||||
\(919\) | 2.42679e11 | + | 1.06325e12i | 0.340228 | + | 1.49064i | 0.798592 | + | 0.601872i | \(0.205578\pi\) |
−0.458364 | + | 0.888765i | \(0.651564\pi\) | |||||||
\(920\) | 3.26094e11 | − | 3.02571e11i | 0.455189 | − | 0.422354i | ||||
\(921\) | 2.96754e11 | − | 2.22386e10i | 0.412437 | − | 0.0309079i | ||||
\(922\) | 1.85355e10 | − | 7.27467e9i | 0.0256497 | − | 0.0100668i | ||||
\(923\) | 7.74387e10 | + | 5.13772e11i | 0.106697 | + | 0.707887i | ||||
\(924\) | −2.05946e11 | − | 9.91782e10i | −0.282530 | − | 0.136059i | ||||
\(925\) | −1.69987e11 | + | 3.52983e11i | −0.232193 | + | 0.482155i | ||||
\(926\) | 1.52945e11 | − | 2.30527e10i | 0.208013 | − | 0.0313529i | ||||
\(927\) | 2.56430e9 | + | 6.53373e9i | 0.00347256 | + | 0.00884794i | ||||
\(928\) | 1.46411e10 | + | 1.95371e11i | 0.0197415 | + | 0.263432i | ||||
\(929\) | 1.88305e11 | + | 2.02944e11i | 0.252813 | + | 0.272467i | 0.846688 | − | 0.532090i | \(-0.178593\pi\) |
−0.593875 | + | 0.804557i | \(0.702403\pi\) | |||||||
\(930\) | −9.40550e9 | + | 2.14674e9i | −0.0125733 | + | 0.00286978i | ||||
\(931\) | −1.31409e11 | + | 8.71839e11i | −0.174914 | + | 1.16048i | ||||
\(932\) | −1.11965e11 | + | 1.64222e11i | −0.148395 | + | 0.217655i | ||||
\(933\) | −6.23742e10 | − | 2.02212e11i | −0.0823149 | − | 0.266858i | ||||
\(934\) | −4.76576e9 | + | 6.35946e10i | −0.00626245 | + | 0.0835666i | ||||
\(935\) | −2.94917e11 | + | 2.35188e11i | −0.385881 | + | 0.307729i | ||||
\(936\) | 3.24908e10 | − | 1.05333e11i | 0.0423308 | − | 0.137233i | ||||
\(937\) | −1.40288e12 | − | 5.50590e11i | −1.81996 | − | 0.714282i | −0.986950 | − | 0.161027i | \(-0.948519\pi\) |
−0.833012 | − | 0.553256i | \(-0.813385\pi\) | |||||||
\(938\) | 1.51947e10 | − | 6.65724e10i | 0.0196282 | − | 0.0859969i | ||||
\(939\) | −2.15559e11 | − | 3.73359e11i | −0.277271 | − | 0.480247i | ||||
\(940\) | 7.47200e11 | + | 4.31396e11i | 0.957030 | + | 0.552542i | ||||
\(941\) | −6.55523e11 | − | 6.08236e11i | −0.836044 | − | 0.775736i | 0.140721 | − | 0.990049i | \(-0.455058\pi\) |
−0.976765 | + | 0.214314i | \(0.931249\pi\) | |||||||
\(942\) | −1.02111e10 | − | 8.14310e9i | −0.0129679 | − | 0.0103416i | ||||
\(943\) | −3.64358e11 | + | 2.48415e11i | −0.460767 | + | 0.314146i | ||||
\(944\) | 8.01827e11 | − | 3.86139e11i | 1.00970 | − | 0.486246i | ||||
\(945\) | 3.80603e11i | 0.477248i | ||||||||
\(946\) | 1.81218e11 | + | 1.36642e11i | 0.226276 | + | 0.170616i | ||||
\(947\) | 3.23456e11 | 0.402175 | 0.201087 | − | 0.979573i | \(-0.435552\pi\) | ||||
0.201087 | + | 0.979573i | \(0.435552\pi\) | |||||||
\(948\) | 6.13437e10 | + | 1.27381e11i | 0.0759515 | + | 0.157715i | ||||
\(949\) | 6.48177e10 | + | 9.50701e10i | 0.0799150 | + | 0.117214i | ||||
\(950\) | −1.32200e11 | + | 1.65773e11i | −0.162307 | + | 0.203526i | ||||
\(951\) | 5.58442e10 | − | 6.01857e10i | 0.0682741 | − | 0.0735820i | ||||
\(952\) | 1.09521e10 | − | 1.89696e10i | 0.0133337 | − | 0.0230946i | ||||
\(953\) | 5.02871e11 | − | 2.90333e11i | 0.609656 | − | 0.351985i | −0.163175 | − | 0.986597i | \(-0.552173\pi\) |
0.772831 | + | 0.634612i | \(0.218840\pi\) | |||||||
\(954\) | −1.10329e10 | − | 2.51820e9i | −0.0133198 | − | 0.00304016i | ||||
\(955\) | 2.45368e11 | − | 6.25187e11i | 0.294988 | − | 0.751617i | ||||
\(956\) | −5.65298e11 | − | 1.74371e11i | −0.676778 | − | 0.208758i | ||||
\(957\) | −2.11579e11 | − | 2.65312e11i | −0.252247 | − | 0.316307i | ||||
\(958\) | −1.26285e11 | − | 9.46374e9i | −0.149930 | − | 0.0112357i | ||||
\(959\) | 4.47001e11 | − | 1.37882e11i | 0.528487 | − | 0.163017i | ||||
\(960\) | 3.34002e11 | + | 2.27719e11i | 0.393246 | + | 0.268110i | ||||
\(961\) | 8.24675e11 | + | 1.24300e11i | 0.966917 | + | 0.145739i | ||||
\(962\) | −7.77176e9 | − | 3.40503e10i | −0.00907443 | − | 0.0397577i | ||||
\(963\) | 6.70873e11 | − | 6.22479e11i | 0.780073 | − | 0.723802i | ||||
\(964\) | −5.36686e11 | + | 4.02190e10i | −0.621458 | + | 0.0465718i | ||||
\(965\) | −1.28158e12 | + | 5.02984e11i | −1.47787 | + | 0.580023i | ||||
\(966\) | −4.96004e9 | − | 3.29077e10i | −0.00569608 | − | 0.0377910i | ||||
\(967\) | −1.07724e11 | − | 5.18772e10i | −0.123199 | − | 0.0593295i | 0.371269 | − | 0.928525i | \(-0.378923\pi\) |
−0.494468 | + | 0.869196i | \(0.664637\pi\) | |||||||
\(968\) | 2.70106e11 | − | 5.60882e11i | 0.307633 | − | 0.638807i | ||||
\(969\) | 9.28783e10 | − | 1.39992e10i | 0.105346 | − | 0.0158784i | ||||
\(970\) | 1.28599e11 | + | 3.27665e11i | 0.145262 | + | 0.370121i | ||||
\(971\) | −5.64121e10 | − | 7.52767e11i | −0.0634593 | − | 0.846806i | −0.934584 | − | 0.355743i | \(-0.884228\pi\) |
0.871124 | − | 0.491062i | \(-0.163391\pi\) | |||||||
\(972\) | 5.51381e11 | + | 5.94247e11i | 0.617713 | + | 0.665736i | ||||
\(973\) | 5.47565e11 | − | 1.24978e11i | 0.610920 | − | 0.139438i | ||||
\(974\) | 1.25338e10 | − | 8.31563e10i | 0.0139267 | − | 0.0923973i | ||||
\(975\) | 1.18377e11 | − | 1.73627e11i | 0.130993 | − | 0.192132i | ||||
\(976\) | −6.41222e10 | − | 2.07879e11i | −0.0706658 | − | 0.229093i | ||||
\(977\) | −1.69788e10 | + | 2.26567e11i | −0.0186350 | + | 0.248667i | 0.980105 | + | 0.198480i | \(0.0636006\pi\) |
−0.998740 | + | 0.0501863i | \(0.984018\pi\) | |||||||
\(978\) | 2.21881e10 | − | 1.76944e10i | 0.0242530 | − | 0.0193411i | ||||
\(979\) | −6.52861e11 | + | 2.11652e12i | −0.710706 | + | 2.30405i | ||||
\(980\) | 9.57030e11 | + | 3.75607e11i | 1.03758 | + | 0.407220i | ||||
\(981\) | 6.92176e10 | − | 3.03262e11i | 0.0747378 | − | 0.327448i | ||||
\(982\) | 2.22809e9 | + | 3.85917e9i | 0.00239600 | + | 0.00415000i | ||||
\(983\) | −1.28298e12 | − | 7.40727e11i | −1.37406 | − | 0.793312i | −0.382621 | − | 0.923906i | \(-0.624978\pi\) |
−0.991436 | + | 0.130594i | \(0.958312\pi\) | |||||||
\(984\) | 3.25554e10 | + | 3.02070e10i | 0.0347250 | + | 0.0322201i | ||||
\(985\) | 1.73964e12 | + | 1.38732e12i | 1.84805 | + | 1.47377i | ||||
\(986\) | 1.32685e10 | − | 9.04632e9i | 0.0140383 | − | 0.00957116i | ||||
\(987\) | 1.17759e11 | − | 5.67099e10i | 0.124087 | − | 0.0597572i | ||||
\(988\) | 7.57960e11i | 0.795461i | ||||||||
\(989\) | 6.31375e10 | − | 1.32352e12i | 0.0659936 | − | 1.38339i | ||||
\(990\) | −3.38334e11 | −0.352212 | ||||||||
\(991\) | 1.70034e11 | + | 3.53080e11i | 0.176296 | + | 0.366082i | 0.970328 | − | 0.241794i | \(-0.0777359\pi\) |
−0.794032 | + | 0.607876i | \(0.792022\pi\) | |||||||
\(992\) | −3.67763e10 | − | 5.39409e10i | −0.0379771 | − | 0.0557021i | ||||
\(993\) | −2.16951e11 | + | 2.72048e11i | −0.223133 | + | 0.279800i | ||||
\(994\) | −6.29878e10 | + | 6.78847e10i | −0.0645224 | + | 0.0695386i | ||||
\(995\) | −9.67963e11 | + | 1.67656e12i | −0.987566 | + | 1.71052i | ||||
\(996\) | −1.95934e11 | + | 1.13123e11i | −0.199100 | + | 0.114951i | ||||
\(997\) | 1.05040e12 | + | 2.39746e11i | 1.06310 | + | 0.242645i | 0.718086 | − | 0.695954i | \(-0.245018\pi\) |
0.345010 | + | 0.938599i | \(0.387875\pi\) | |||||||
\(998\) | 9.86525e10 | − | 2.51362e11i | 0.0994457 | − | 0.253383i | ||||
\(999\) | 3.22876e11 | + | 9.95941e10i | 0.324171 | + | 0.0999934i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.9.h.a.12.14 | ✓ | 336 | |
43.18 | odd | 42 | inner | 43.9.h.a.18.14 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.h.a.12.14 | ✓ | 336 | 1.1 | even | 1 | trivial | |
43.9.h.a.18.14 | yes | 336 | 43.18 | odd | 42 | inner |