Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), degree \(4\), 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: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 2.10 | ||
Character | \(\chi\) | \(=\) | 17.2 |
Dual form | 17.10.d.a.9.10 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 17.3427 | + | 17.3427i | 0.766446 | + | 0.766446i | 0.977479 | − | 0.211033i | \(-0.0676828\pi\) |
−0.211033 | + | 0.977479i | \(0.567683\pi\) | |||||||
\(3\) | −21.9931 | + | 9.10984i | −0.156762 | + | 0.0649329i | −0.459685 | − | 0.888082i | \(-0.652038\pi\) |
0.302923 | + | 0.953015i | \(0.402038\pi\) | |||||||
\(4\) | 89.5378i | 0.174879i | ||||||||
\(5\) | −1000.76 | − | 2416.05i | −0.716086 | − | 1.72878i | −0.684201 | − | 0.729293i | \(-0.739849\pi\) |
−0.0318850 | − | 0.999492i | \(-0.510151\pi\) | |||||||
\(6\) | −539.408 | − | 223.430i | −0.169917 | − | 0.0703820i | ||||
\(7\) | 1420.57 | − | 3429.57i | 0.223626 | − | 0.539881i | −0.771751 | − | 0.635925i | \(-0.780619\pi\) |
0.995377 | + | 0.0960438i | \(0.0306189\pi\) | |||||||
\(8\) | 7326.63 | − | 7326.63i | 0.632411 | − | 0.632411i | ||||
\(9\) | −13517.3 | + | 13517.3i | −0.686749 | + | 0.686749i | ||||
\(10\) | 24544.9 | − | 59256.7i | 0.776179 | − | 1.87386i | ||||
\(11\) | 3806.68 | + | 1576.78i | 0.0783934 | + | 0.0324716i | 0.421536 | − | 0.906812i | \(-0.361491\pi\) |
−0.343142 | + | 0.939283i | \(0.611491\pi\) | |||||||
\(12\) | −815.675 | − | 1969.21i | −0.0113554 | − | 0.0274143i | ||||
\(13\) | 18236.6i | 0.177092i | 0.996072 | + | 0.0885459i | \(0.0282220\pi\) | ||||
−0.996072 | + | 0.0885459i | \(0.971778\pi\) | |||||||
\(14\) | 84114.4 | − | 34841.3i | 0.585187 | − | 0.242392i | ||||
\(15\) | 44019.6 | + | 44019.6i | 0.224510 | + | 0.224510i | ||||
\(16\) | 299970. | 1.14430 | ||||||||
\(17\) | 101311. | − | 329126.i | 0.294197 | − | 0.955745i | ||||
\(18\) | −468852. | −1.05271 | ||||||||
\(19\) | −666466. | − | 666466.i | −1.17324 | − | 1.17324i | −0.981433 | − | 0.191806i | \(-0.938565\pi\) |
−0.191806 | − | 0.981433i | \(-0.561435\pi\) | |||||||
\(20\) | 216328. | − | 89606.0i | 0.302327 | − | 0.125228i | ||||
\(21\) | 88367.9i | 0.0991534i | ||||||||
\(22\) | 38672.5 | + | 93363.7i | 0.0351966 | + | 0.0849720i | ||||
\(23\) | 1.81374e6 | + | 751274.i | 1.35145 | + | 0.559787i | 0.936695 | − | 0.350148i | \(-0.113869\pi\) |
0.414751 | + | 0.909935i | \(0.363869\pi\) | |||||||
\(24\) | −94390.8 | + | 227880.i | −0.0580737 | + | 0.140202i | ||||
\(25\) | −3.45471e6 | + | 3.45471e6i | −1.76881 | + | 1.76881i | ||||
\(26\) | −316272. | + | 316272.i | −0.135731 | + | 0.135731i | ||||
\(27\) | 353455. | − | 853317.i | 0.127996 | − | 0.309011i | ||||
\(28\) | 307076. | + | 127195.i | 0.0944136 | + | 0.0391074i | ||||
\(29\) | 909640. | + | 2.19607e6i | 0.238824 | + | 0.576573i | 0.997162 | − | 0.0752893i | \(-0.0239880\pi\) |
−0.758337 | + | 0.651862i | \(0.773988\pi\) | |||||||
\(30\) | 1.52684e6i | 0.344150i | ||||||||
\(31\) | −2.39565e6 | + | 992311.i | −0.465903 | + | 0.192983i | −0.603270 | − | 0.797537i | \(-0.706136\pi\) |
0.137367 | + | 0.990520i | \(0.456136\pi\) | |||||||
\(32\) | 1.45106e6 | + | 1.45106e6i | 0.244630 | + | 0.244630i | ||||
\(33\) | −98084.9 | −0.0143976 | ||||||||
\(34\) | 7.46494e6 | − | 3.95092e6i | 0.958013 | − | 0.507041i | ||||
\(35\) | −9.70766e6 | −1.09347 | ||||||||
\(36\) | −1.21031e6 | − | 1.21031e6i | −0.120098 | − | 0.120098i | ||||
\(37\) | 1.58254e7 | − | 6.55511e6i | 1.38819 | − | 0.575005i | 0.441529 | − | 0.897247i | \(-0.354436\pi\) |
0.946657 | + | 0.322242i | \(0.104436\pi\) | |||||||
\(38\) | − | 2.31166e7i | − | 1.79845i | ||||||
\(39\) | −166132. | − | 401079.i | −0.0114991 | − | 0.0277613i | ||||
\(40\) | −2.50337e7 | − | 1.03693e7i | −1.54616 | − | 0.640442i | ||||
\(41\) | −2.88871e6 | + | 6.97395e6i | −0.159653 | + | 0.385435i | −0.983382 | − | 0.181547i | \(-0.941889\pi\) |
0.823730 | + | 0.566983i | \(0.191889\pi\) | |||||||
\(42\) | −1.53254e6 | + | 1.53254e6i | −0.0759957 | + | 0.0759957i | ||||
\(43\) | 1.65431e7 | − | 1.65431e7i | 0.737920 | − | 0.737920i | −0.234255 | − | 0.972175i | \(-0.575265\pi\) |
0.972175 | + | 0.234255i | \(0.0752651\pi\) | |||||||
\(44\) | −141181. | + | 340842.i | −0.00567859 | + | 0.0137093i | ||||
\(45\) | 4.61860e7 | + | 1.91309e7i | 1.67901 | + | 0.695470i | ||||
\(46\) | 1.84259e7 | + | 4.44842e7i | 0.606764 | + | 1.46486i | ||||
\(47\) | − | 2.85310e7i | − | 0.852859i | −0.904521 | − | 0.426430i | \(-0.859771\pi\) | ||
0.904521 | − | 0.426430i | \(-0.140229\pi\) | |||||||
\(48\) | −6.59727e6 | + | 2.73268e6i | −0.179382 | + | 0.0743025i | ||||
\(49\) | 1.87904e7 | + | 1.87904e7i | 0.465644 | + | 0.465644i | ||||
\(50\) | −1.19828e8 | −2.71140 | ||||||||
\(51\) | 770133. | + | 8.16143e6i | 0.0159404 | + | 0.168927i | ||||
\(52\) | −1.63287e6 | −0.0309696 | ||||||||
\(53\) | 2.56020e7 | + | 2.56020e7i | 0.445689 | + | 0.445689i | 0.893919 | − | 0.448229i | \(-0.147945\pi\) |
−0.448229 | + | 0.893919i | \(0.647945\pi\) | |||||||
\(54\) | 2.09287e7 | − | 8.66894e6i | 0.334942 | − | 0.138738i | ||||
\(55\) | − | 1.07751e7i | − | 0.158778i | ||||||
\(56\) | −1.47191e7 | − | 3.55352e7i | −0.200003 | − | 0.482850i | ||||
\(57\) | 2.07290e7 | + | 8.58624e6i | 0.260101 | + | 0.107737i | ||||
\(58\) | −2.23101e7 | + | 5.38613e7i | −0.258866 | + | 0.624958i | ||||
\(59\) | −8.71591e7 | + | 8.71591e7i | −0.936437 | + | 0.936437i | −0.998097 | − | 0.0616599i | \(-0.980361\pi\) |
0.0616599 | + | 0.998097i | \(0.480361\pi\) | |||||||
\(60\) | −3.94142e6 | + | 3.94142e6i | −0.0392620 | + | 0.0392620i | ||||
\(61\) | 1.86022e7 | − | 4.49097e7i | 0.172021 | − | 0.415295i | −0.814232 | − | 0.580540i | \(-0.802842\pi\) |
0.986253 | + | 0.165245i | \(0.0528416\pi\) | |||||||
\(62\) | −5.87564e7 | − | 2.43377e7i | −0.505001 | − | 0.209178i | ||||
\(63\) | 2.71561e7 | + | 6.55606e7i | 0.217188 | + | 0.524337i | ||||
\(64\) | − | 1.03254e8i | − | 0.769305i | ||||||
\(65\) | 4.40605e7 | − | 1.82505e7i | 0.306154 | − | 0.126813i | ||||
\(66\) | −1.70106e6 | − | 1.70106e6i | −0.0110350 | − | 0.0110350i | ||||
\(67\) | 1.82246e8 | 1.10490 | 0.552448 | − | 0.833547i | \(-0.313694\pi\) | ||||
0.552448 | + | 0.833547i | \(0.313694\pi\) | |||||||
\(68\) | 2.94692e7 | + | 9.07120e6i | 0.167139 | + | 0.0514488i | ||||
\(69\) | −4.67336e7 | −0.248204 | ||||||||
\(70\) | −1.68357e8 | − | 1.68357e8i | −0.838088 | − | 0.838088i | ||||
\(71\) | −1.86732e7 | + | 7.73470e6i | −0.0872081 | + | 0.0361228i | −0.425861 | − | 0.904789i | \(-0.640029\pi\) |
0.338653 | + | 0.940911i | \(0.390029\pi\) | |||||||
\(72\) | 1.98072e8i | 0.868615i | ||||||||
\(73\) | −2.92217e6 | − | 7.05474e6i | −0.0120435 | − | 0.0290756i | 0.917743 | − | 0.397174i | \(-0.130009\pi\) |
−0.929787 | + | 0.368098i | \(0.880009\pi\) | |||||||
\(74\) | 3.88139e8 | + | 1.60772e8i | 1.50468 | + | 0.623259i | ||||
\(75\) | 4.45079e7 | − | 1.07452e8i | 0.162428 | − | 0.392136i | ||||
\(76\) | 5.96739e7 | − | 5.96739e7i | 0.205174 | − | 0.205174i | ||||
\(77\) | 1.08153e7 | − | 1.08153e7i | 0.0350616 | − | 0.0350616i | ||||
\(78\) | 4.07461e6 | − | 9.83697e6i | 0.0124641 | − | 0.0300909i | ||||
\(79\) | 1.52507e8 | + | 6.31706e7i | 0.440523 | + | 0.182471i | 0.591910 | − | 0.806004i | \(-0.298374\pi\) |
−0.151387 | + | 0.988475i | \(0.548374\pi\) | |||||||
\(80\) | −3.00199e8 | − | 7.24743e8i | −0.819415 | − | 1.97824i | ||||
\(81\) | − | 3.54279e8i | − | 0.914457i | ||||||
\(82\) | −1.71045e8 | + | 7.08492e7i | −0.417780 | + | 0.173050i | ||||
\(83\) | −1.89138e7 | − | 1.89138e7i | −0.0437449 | − | 0.0437449i | 0.684896 | − | 0.728641i | \(-0.259848\pi\) |
−0.728641 | + | 0.684896i | \(0.759848\pi\) | |||||||
\(84\) | −7.91227e6 | −0.0173398 | ||||||||
\(85\) | −8.96573e8 | + | 8.46029e7i | −1.86295 | + | 0.175792i | ||||
\(86\) | 5.73804e8 | 1.13115 | ||||||||
\(87\) | −4.00116e7 | − | 4.00116e7i | −0.0748771 | − | 0.0748771i | ||||
\(88\) | 3.94426e7 | − | 1.63377e7i | 0.0701122 | − | 0.0290414i | ||||
\(89\) | − | 2.38906e6i | − | 0.00403620i | −0.999998 | − | 0.00201810i | \(-0.999358\pi\) | ||
0.999998 | − | 0.00201810i | \(-0.000642382\pi\) | |||||||
\(90\) | 4.69209e8 | + | 1.13277e9i | 0.753832 | + | 1.81991i | ||||
\(91\) | 6.25436e7 | + | 2.59064e7i | 0.0956085 | + | 0.0396023i | ||||
\(92\) | −6.72674e7 | + | 1.62398e8i | −0.0978948 | + | 0.236339i | ||||
\(93\) | 4.36480e7 | − | 4.36480e7i | 0.0605049 | − | 0.0605049i | ||||
\(94\) | 4.94805e8 | − | 4.94805e8i | 0.653670 | − | 0.653670i | ||||
\(95\) | −9.43242e8 | + | 2.27719e9i | −1.18814 | + | 2.86842i | ||||
\(96\) | −4.51322e7 | − | 1.86944e7i | −0.0542332 | − | 0.0224641i | ||||
\(97\) | −3.66256e8 | − | 8.84220e8i | −0.420060 | − | 1.01412i | −0.982329 | − | 0.187161i | \(-0.940071\pi\) |
0.562269 | − | 0.826954i | \(-0.309929\pi\) | |||||||
\(98\) | 6.51753e8i | 0.713782i | ||||||||
\(99\) | −7.27697e7 | + | 3.01422e7i | −0.0761364 | + | 0.0315367i | ||||
\(100\) | −3.09327e8 | − | 3.09327e8i | −0.309327 | − | 0.309327i | ||||
\(101\) | −3.65294e8 | −0.349298 | −0.174649 | − | 0.984631i | \(-0.555879\pi\) | ||||
−0.174649 | + | 0.984631i | \(0.555879\pi\) | |||||||
\(102\) | −1.28185e8 | + | 1.54897e8i | −0.117256 | + | 0.141691i | ||||
\(103\) | 1.05127e9 | 0.920337 | 0.460168 | − | 0.887832i | \(-0.347789\pi\) | ||||
0.460168 | + | 0.887832i | \(0.347789\pi\) | |||||||
\(104\) | 1.33613e8 | + | 1.33613e8i | 0.111995 | + | 0.111995i | ||||
\(105\) | 2.13501e8 | − | 8.84351e7i | 0.171415 | − | 0.0710024i | ||||
\(106\) | 8.88015e8i | 0.683194i | ||||||||
\(107\) | −5.22040e8 | − | 1.26031e9i | −0.385014 | − | 0.929506i | −0.990979 | − | 0.134015i | \(-0.957213\pi\) |
0.605965 | − | 0.795491i | \(-0.292787\pi\) | |||||||
\(108\) | 7.64042e7 | + | 3.16476e7i | 0.0540393 | + | 0.0223838i | ||||
\(109\) | 3.87680e8 | − | 9.35942e8i | 0.263059 | − | 0.635082i | −0.736065 | − | 0.676910i | \(-0.763318\pi\) |
0.999125 | + | 0.0418288i | \(0.0133184\pi\) | |||||||
\(110\) | 1.86869e8 | − | 1.86869e8i | 0.121695 | − | 0.121695i | ||||
\(111\) | −2.88334e8 | + | 2.88334e8i | −0.180278 | + | 0.180278i | ||||
\(112\) | 4.26130e8 | − | 1.02877e9i | 0.255894 | − | 0.617783i | ||||
\(113\) | 1.97987e9 | + | 8.20087e8i | 1.14231 | + | 0.473159i | 0.871947 | − | 0.489600i | \(-0.162857\pi\) |
0.270360 | + | 0.962759i | \(0.412857\pi\) | |||||||
\(114\) | 2.10589e8 | + | 5.08406e8i | 0.116779 | + | 0.281928i | ||||
\(115\) | − | 5.13392e9i | − | 2.73722i | ||||||
\(116\) | −1.96631e8 | + | 8.14472e7i | −0.100830 | + | 0.0417653i | ||||
\(117\) | −2.46509e8 | − | 2.46509e8i | −0.121618 | − | 0.121618i | ||||
\(118\) | −3.02315e9 | −1.43546 | ||||||||
\(119\) | −9.84839e8 | − | 8.15001e8i | −0.450198 | − | 0.372561i | ||||
\(120\) | 6.45031e8 | 0.283965 | ||||||||
\(121\) | −1.65532e9 | − | 1.65532e9i | −0.702016 | − | 0.702016i | ||||
\(122\) | 1.10147e9 | − | 4.56243e8i | 0.450145 | − | 0.186456i | ||||
\(123\) | − | 1.79694e8i | − | 0.0707883i | ||||||
\(124\) | −8.88494e7 | − | 2.14501e8i | −0.0337487 | − | 0.0814765i | ||||
\(125\) | 7.08524e9 | + | 2.93480e9i | 2.59573 | + | 1.07519i | ||||
\(126\) | −6.66038e8 | + | 1.60796e9i | −0.235414 | + | 0.568339i | ||||
\(127\) | −3.60128e9 | + | 3.60128e9i | −1.22840 | + | 1.22840i | −0.263831 | + | 0.964569i | \(0.584986\pi\) |
−0.964569 | + | 0.263831i | \(0.915014\pi\) | |||||||
\(128\) | 2.53365e9 | − | 2.53365e9i | 0.834260 | − | 0.834260i | ||||
\(129\) | −2.13129e8 | + | 5.14539e8i | −0.0677625 | + | 0.163593i | ||||
\(130\) | 1.08064e9 | + | 4.47616e8i | 0.331846 | + | 0.137455i | ||||
\(131\) | 1.81761e9 | + | 4.38811e9i | 0.539238 | + | 1.30184i | 0.925255 | + | 0.379345i | \(0.123850\pi\) |
−0.386017 | + | 0.922492i | \(0.626150\pi\) | |||||||
\(132\) | − | 8.78231e6i | − | 0.00251783i | ||||||
\(133\) | −3.23245e9 | + | 1.33892e9i | −0.895776 | + | 0.371043i | ||||
\(134\) | 3.16064e9 | + | 3.16064e9i | 0.846844 | + | 0.846844i | ||||
\(135\) | −2.41538e9 | −0.625869 | ||||||||
\(136\) | −1.66911e9 | − | 3.15366e9i | −0.418370 | − | 0.790477i | ||||
\(137\) | −6.12850e9 | −1.48632 | −0.743158 | − | 0.669116i | \(-0.766673\pi\) | ||||
−0.743158 | + | 0.669116i | \(0.766673\pi\) | |||||||
\(138\) | −8.10487e8 | − | 8.10487e8i | −0.190235 | − | 0.190235i | ||||
\(139\) | 1.84919e9 | − | 7.65960e8i | 0.420160 | − | 0.174036i | −0.162578 | − | 0.986696i | \(-0.551981\pi\) |
0.582739 | + | 0.812660i | \(0.301981\pi\) | |||||||
\(140\) | − | 8.69203e8i | − | 0.191225i | ||||||
\(141\) | 2.59913e8 | + | 6.27486e8i | 0.0553786 | + | 0.133696i | ||||
\(142\) | −4.57985e8 | − | 1.89703e8i | −0.0945264 | − | 0.0391541i | ||||
\(143\) | −2.87551e7 | + | 6.94209e7i | −0.00575046 | + | 0.0138828i | ||||
\(144\) | −4.05478e9 | + | 4.05478e9i | −0.785844 | + | 0.785844i | ||||
\(145\) | 4.39547e9 | − | 4.39547e9i | 0.825752 | − | 0.825752i | ||||
\(146\) | 7.16699e7 | − | 1.73026e8i | 0.0130542 | − | 0.0315155i | ||||
\(147\) | −5.84437e8 | − | 2.42082e8i | −0.103231 | − | 0.0427596i | ||||
\(148\) | 5.86930e8 | + | 1.41697e9i | 0.100556 | + | 0.242764i | ||||
\(149\) | 1.65989e9i | 0.275894i | 0.990440 | + | 0.137947i | \(0.0440504\pi\) | ||||
−0.990440 | + | 0.137947i | \(0.955950\pi\) | |||||||
\(150\) | 2.63539e9 | − | 1.09161e9i | 0.425044 | − | 0.176059i | ||||
\(151\) | −2.36043e9 | − | 2.36043e9i | −0.369484 | − | 0.369484i | 0.497805 | − | 0.867289i | \(-0.334139\pi\) |
−0.867289 | + | 0.497805i | \(0.834139\pi\) | |||||||
\(152\) | −9.76589e9 | −1.48394 | ||||||||
\(153\) | 3.07943e9 | + | 5.81834e9i | 0.454317 | + | 0.858396i | ||||
\(154\) | 3.75134e8 | 0.0537456 | ||||||||
\(155\) | 4.79495e9 | + | 4.79495e9i | 0.667254 | + | 0.667254i | ||||
\(156\) | 3.59118e7 | − | 1.48751e7i | 0.00485485 | − | 0.00201095i | ||||
\(157\) | − | 1.04520e10i | − | 1.37294i | −0.727160 | − | 0.686468i | \(-0.759160\pi\) | ||
0.727160 | − | 0.686468i | \(-0.240840\pi\) | |||||||
\(158\) | 1.54934e9 | + | 3.74043e9i | 0.197783 | + | 0.477491i | ||||
\(159\) | −7.96297e8 | − | 3.29837e8i | −0.0988070 | − | 0.0409272i | ||||
\(160\) | 2.05367e9 | − | 4.95799e9i | 0.247737 | − | 0.598089i | ||||
\(161\) | 5.15309e9 | − | 5.15309e9i | 0.604437 | − | 0.604437i | ||||
\(162\) | 6.14416e9 | − | 6.14416e9i | 0.700882 | − | 0.700882i | ||||
\(163\) | −2.18677e9 | + | 5.27933e9i | −0.242638 | + | 0.585780i | −0.997543 | − | 0.0700540i | \(-0.977683\pi\) |
0.754905 | + | 0.655834i | \(0.227683\pi\) | |||||||
\(164\) | −6.24433e8 | − | 2.58648e8i | −0.0674044 | − | 0.0279198i | ||||
\(165\) | 9.81595e7 | + | 2.36978e8i | 0.0103099 | + | 0.0248903i | ||||
\(166\) | − | 6.56033e8i | − | 0.0670562i | ||||||
\(167\) | −1.27501e10 | + | 5.28125e9i | −1.26849 | + | 0.525428i | −0.912506 | − | 0.409063i | \(-0.865856\pi\) |
−0.355988 | + | 0.934490i | \(0.615856\pi\) | |||||||
\(168\) | 6.47439e8 | + | 6.47439e8i | 0.0627057 | + | 0.0627057i | ||||
\(169\) | 1.02719e10 | 0.968638 | ||||||||
\(170\) | −1.70162e10 | − | 1.40818e10i | −1.56258 | − | 1.29311i | ||||
\(171\) | 1.80176e10 | 1.61144 | ||||||||
\(172\) | 1.48124e9 | + | 1.48124e9i | 0.129046 | + | 0.129046i | ||||
\(173\) | 4.41253e9 | − | 1.82773e9i | 0.374524 | − | 0.155133i | −0.187478 | − | 0.982269i | \(-0.560031\pi\) |
0.562002 | + | 0.827136i | \(0.310031\pi\) | |||||||
\(174\) | − | 1.38782e9i | − | 0.114779i | ||||||
\(175\) | 6.94049e9 | + | 1.67558e10i | 0.559395 | + | 1.35050i | ||||
\(176\) | 1.14189e9 | + | 4.72987e8i | 0.0897053 | + | 0.0371571i | ||||
\(177\) | 1.12289e9 | − | 2.71090e9i | 0.0859921 | − | 0.207603i | ||||
\(178\) | 4.14328e7 | − | 4.14328e7i | 0.00309353 | − | 0.00309353i | ||||
\(179\) | 2.42347e9 | − | 2.42347e9i | 0.176441 | − | 0.176441i | −0.613361 | − | 0.789802i | \(-0.710183\pi\) |
0.789802 | + | 0.613361i | \(0.210183\pi\) | |||||||
\(180\) | −1.71294e9 | + | 4.13539e9i | −0.121623 | + | 0.293623i | ||||
\(181\) | −1.07143e10 | − | 4.43802e9i | −0.742013 | − | 0.307352i | −0.0205351 | − | 0.999789i | \(-0.506537\pi\) |
−0.721478 | + | 0.692437i | \(0.756537\pi\) | |||||||
\(182\) | 6.35387e8 | + | 1.53396e9i | 0.0429257 | + | 0.103632i | ||||
\(183\) | 1.15717e9i | 0.0762722i | ||||||||
\(184\) | 1.87929e10 | − | 7.78426e9i | 1.20868 | − | 0.500654i | ||||
\(185\) | −3.16749e10 | − | 3.16749e10i | −1.98812 | − | 1.98812i | ||||
\(186\) | 1.51395e9 | 0.0927475 | ||||||||
\(187\) | 9.04619e8 | − | 1.09313e9i | 0.0540977 | − | 0.0653710i | ||||
\(188\) | 2.55461e9 | 0.149147 | ||||||||
\(189\) | −2.42440e9 | − | 2.42440e9i | −0.138206 | − | 0.138206i | ||||
\(190\) | −5.58509e10 | + | 2.31342e10i | −3.10913 | + | 1.28784i | ||||
\(191\) | 2.28039e10i | 1.23982i | 0.784672 | + | 0.619911i | \(0.212831\pi\) | ||||
−0.784672 | + | 0.619911i | \(0.787169\pi\) | |||||||
\(192\) | 9.40630e8 | + | 2.27088e9i | 0.0499532 | + | 0.120598i | ||||
\(193\) | 2.64062e10 | + | 1.09378e10i | 1.36993 | + | 0.567444i | 0.941770 | − | 0.336259i | \(-0.109162\pi\) |
0.428161 | + | 0.903703i | \(0.359162\pi\) | |||||||
\(194\) | 8.98289e9 | − | 2.16866e10i | 0.455311 | − | 1.09922i | ||||
\(195\) | −8.02768e8 | + | 8.02768e8i | −0.0397589 | + | 0.0397589i | ||||
\(196\) | −1.68245e9 | + | 1.68245e9i | −0.0814312 | + | 0.0814312i | ||||
\(197\) | 6.67495e9 | − | 1.61148e10i | 0.315755 | − | 0.762300i | −0.683715 | − | 0.729749i | \(-0.739637\pi\) |
0.999470 | − | 0.0325508i | \(-0.0103631\pi\) | |||||||
\(198\) | −1.78477e9 | − | 7.39276e8i | −0.0825256 | − | 0.0341832i | ||||
\(199\) | 1.18047e10 | + | 2.84990e10i | 0.533599 | + | 1.28822i | 0.929125 | + | 0.369766i | \(0.120562\pi\) |
−0.395526 | + | 0.918455i | \(0.629438\pi\) | |||||||
\(200\) | 5.06228e10i | 2.23723i | ||||||||
\(201\) | −4.00816e9 | + | 1.66023e9i | −0.173206 | + | 0.0717442i | ||||
\(202\) | −6.33518e9 | − | 6.33518e9i | −0.267718 | − | 0.267718i | ||||
\(203\) | 8.82376e9 | 0.364688 | ||||||||
\(204\) | −7.30757e8 | + | 6.89560e7i | −0.0295418 | + | 0.00278764i | ||||
\(205\) | 1.97403e10 | 0.780660 | ||||||||
\(206\) | 1.82318e10 | + | 1.82318e10i | 0.705388 | + | 0.705388i | ||||
\(207\) | −3.46719e10 | + | 1.43616e10i | −1.31254 | + | 0.543671i | ||||
\(208\) | 5.47044e9i | 0.202646i | ||||||||
\(209\) | −1.48615e9 | − | 3.58789e9i | −0.0538772 | − | 0.130071i | ||||
\(210\) | 5.23639e9 | + | 2.16898e9i | 0.185800 | + | 0.0769608i | ||||
\(211\) | 9.51904e9 | − | 2.29810e10i | 0.330615 | − | 0.798175i | −0.667929 | − | 0.744225i | \(-0.732819\pi\) |
0.998544 | − | 0.0539495i | \(-0.0171810\pi\) | |||||||
\(212\) | −2.29235e9 | + | 2.29235e9i | −0.0779415 | + | 0.0779415i | ||||
\(213\) | 3.40220e8 | − | 3.40220e8i | 0.0113254 | − | 0.0113254i | ||||
\(214\) | 1.28037e10 | − | 3.09108e10i | 0.417324 | − | 1.00751i | ||||
\(215\) | −5.65247e10 | − | 2.34133e10i | −1.80412 | − | 0.747291i | ||||
\(216\) | −3.66230e9 | − | 8.84157e9i | −0.114475 | − | 0.276368i | ||||
\(217\) | 9.62569e9i | 0.294688i | ||||||||
\(218\) | 2.29552e10 | − | 9.50834e9i | 0.688377 | − | 0.285135i | ||||
\(219\) | 1.28535e8 | + | 1.28535e8i | 0.00377592 | + | 0.00377592i | ||||
\(220\) | 9.64781e8 | 0.0277668 | ||||||||
\(221\) | 6.00214e9 | + | 1.84757e9i | 0.169255 | + | 0.0520999i | ||||
\(222\) | −1.00010e10 | −0.276347 | ||||||||
\(223\) | −8.71154e9 | − | 8.71154e9i | −0.235897 | − | 0.235897i | 0.579252 | − | 0.815149i | \(-0.303345\pi\) |
−0.815149 | + | 0.579252i | \(0.803345\pi\) | |||||||
\(224\) | 7.03783e9 | − | 2.91517e9i | 0.186777 | − | 0.0773655i | ||||
\(225\) | − | 9.33965e10i | − | 2.42946i | ||||||
\(226\) | 2.01137e10 | + | 4.85587e10i | 0.512866 | + | 1.23817i | ||||
\(227\) | −1.31693e10 | − | 5.45491e9i | −0.329190 | − | 0.136355i | 0.211966 | − | 0.977277i | \(-0.432013\pi\) |
−0.541156 | + | 0.840922i | \(0.682013\pi\) | |||||||
\(228\) | −7.68794e8 | + | 1.85603e9i | −0.0188410 | + | 0.0454861i | ||||
\(229\) | 5.06977e9 | − | 5.06977e9i | 0.121823 | − | 0.121823i | −0.643567 | − | 0.765390i | \(-0.722546\pi\) |
0.765390 | + | 0.643567i | \(0.222546\pi\) | |||||||
\(230\) | 8.90360e10 | − | 8.90360e10i | 2.09793 | − | 2.09793i | ||||
\(231\) | −1.39337e8 | + | 3.36389e8i | −0.00321967 | + | 0.00777298i | ||||
\(232\) | 2.27544e10 | + | 9.42516e9i | 0.515666 | + | 0.213596i | ||||
\(233\) | 2.24730e10 | + | 5.42545e10i | 0.499527 | + | 1.20596i | 0.949739 | + | 0.313042i | \(0.101348\pi\) |
−0.450213 | + | 0.892921i | \(0.648652\pi\) | |||||||
\(234\) | − | 8.55026e9i | − | 0.186427i | ||||||
\(235\) | −6.89324e10 | + | 2.85528e10i | −1.47441 | + | 0.610721i | ||||
\(236\) | −7.80404e9 | − | 7.80404e9i | −0.163763 | − | 0.163763i | ||||
\(237\) | −3.92958e9 | −0.0809056 | ||||||||
\(238\) | −2.94544e9 | − | 3.12141e10i | −0.0595050 | − | 0.630600i | ||||
\(239\) | −4.52552e10 | −0.897177 | −0.448589 | − | 0.893738i | \(-0.648073\pi\) | ||||
−0.448589 | + | 0.893738i | \(0.648073\pi\) | |||||||
\(240\) | 1.32046e10 | + | 1.32046e10i | 0.256906 | + | 0.256906i | ||||
\(241\) | −6.30363e10 | + | 2.61105e10i | −1.20369 | + | 0.498584i | −0.892189 | − | 0.451662i | \(-0.850831\pi\) |
−0.311499 | + | 0.950246i | \(0.600831\pi\) | |||||||
\(242\) | − | 5.74153e10i | − | 1.07611i | ||||||
\(243\) | 1.01845e10 | + | 2.45875e10i | 0.187375 | + | 0.452363i | ||||
\(244\) | 4.02112e9 | + | 1.66560e9i | 0.0726261 | + | 0.0300827i | ||||
\(245\) | 2.65939e10 | − | 6.42033e10i | 0.471557 | − | 1.13844i | ||||
\(246\) | 3.11638e9 | − | 3.11638e9i | 0.0542554 | − | 0.0542554i | ||||
\(247\) | 1.21541e10 | − | 1.21541e10i | 0.207771 | − | 0.207771i | ||||
\(248\) | −1.02817e10 | + | 2.48223e10i | −0.172597 | + | 0.416687i | ||||
\(249\) | 5.88275e8 | + | 2.43671e8i | 0.00969803 | + | 0.00401705i | ||||
\(250\) | 7.19798e10 | + | 1.73775e11i | 1.16541 | + | 2.81356i | ||||
\(251\) | 8.81426e10i | 1.40170i | 0.713310 | + | 0.700849i | \(0.247195\pi\) | ||||
−0.713310 | + | 0.700849i | \(0.752805\pi\) | |||||||
\(252\) | −5.87016e9 | + | 2.43150e9i | −0.0916954 | + | 0.0379815i | ||||
\(253\) | 5.71972e9 | + | 5.71972e9i | 0.0877673 | + | 0.0877673i | ||||
\(254\) | −1.24912e11 | −1.88300 | ||||||||
\(255\) | 1.89477e10 | − | 1.00283e10i | 0.280625 | − | 0.148524i | ||||
\(256\) | 3.50144e10 | 0.509526 | ||||||||
\(257\) | 9.17731e10 | + | 9.17731e10i | 1.31225 | + | 1.31225i | 0.919754 | + | 0.392495i | \(0.128388\pi\) |
0.392495 | + | 0.919754i | \(0.371612\pi\) | |||||||
\(258\) | −1.26197e10 | + | 5.22726e9i | −0.177322 | + | 0.0734490i | ||||
\(259\) | − | 6.35863e10i | − | 0.878041i | ||||||
\(260\) | 1.63411e9 | + | 3.94508e9i | 0.0221769 | + | 0.0535397i | ||||
\(261\) | −4.19807e10 | − | 1.73890e10i | −0.559973 | − | 0.231948i | ||||
\(262\) | −4.45793e10 | + | 1.07624e11i | −0.584490 | + | 1.41108i | ||||
\(263\) | −6.53621e10 | + | 6.53621e10i | −0.842414 | + | 0.842414i | −0.989172 | − | 0.146759i | \(-0.953116\pi\) |
0.146759 | + | 0.989172i | \(0.453116\pi\) | |||||||
\(264\) | −7.18632e8 | + | 7.18632e8i | −0.00910519 | + | 0.00910519i | ||||
\(265\) | 3.62342e10 | − | 8.74772e10i | 0.451349 | − | 1.08965i | ||||
\(266\) | −7.92799e10 | − | 3.28388e10i | −0.970948 | − | 0.402180i | ||||
\(267\) | 2.17640e7 | + | 5.25429e7i | 0.000262082 | + | 0.000632723i | ||||
\(268\) | 1.63179e10i | 0.193223i | ||||||||
\(269\) | 5.63745e10 | − | 2.33511e10i | 0.656444 | − | 0.271908i | −0.0294974 | − | 0.999565i | \(-0.509391\pi\) |
0.685941 | + | 0.727657i | \(0.259391\pi\) | |||||||
\(270\) | −4.18892e10 | − | 4.18892e10i | −0.479695 | − | 0.479695i | ||||
\(271\) | 7.78327e10 | 0.876597 | 0.438299 | − | 0.898829i | \(-0.355581\pi\) | ||||
0.438299 | + | 0.898829i | \(0.355581\pi\) | |||||||
\(272\) | 3.03904e10 | − | 9.87280e10i | 0.336648 | − | 1.09366i | ||||
\(273\) | −1.61153e9 | −0.0175593 | ||||||||
\(274\) | −1.06285e11 | − | 1.06285e11i | −1.13918 | − | 1.13918i | ||||
\(275\) | −1.85983e10 | + | 7.70367e9i | −0.196099 | + | 0.0812270i | ||||
\(276\) | − | 4.18443e9i | − | 0.0434056i | ||||||
\(277\) | −8.71438e8 | − | 2.10384e9i | −0.00889359 | − | 0.0214710i | 0.919370 | − | 0.393393i | \(-0.128699\pi\) |
−0.928264 | + | 0.371922i | \(0.878699\pi\) | |||||||
\(278\) | 4.53537e10 | + | 1.87861e10i | 0.455419 | + | 0.188641i | ||||
\(279\) | 1.89693e10 | − | 4.57960e10i | 0.187427 | − | 0.452490i | ||||
\(280\) | −7.11244e10 | + | 7.11244e10i | −0.691524 | + | 0.691524i | ||||
\(281\) | 3.52393e10 | − | 3.52393e10i | 0.337170 | − | 0.337170i | −0.518131 | − | 0.855301i | \(-0.673372\pi\) |
0.855301 | + | 0.518131i | \(0.173372\pi\) | |||||||
\(282\) | −6.37470e9 | + | 1.53899e10i | −0.0600259 | + | 0.144915i | ||||
\(283\) | 4.60619e10 | + | 1.90795e10i | 0.426877 | + | 0.176818i | 0.585770 | − | 0.810478i | \(-0.300792\pi\) |
−0.158892 | + | 0.987296i | \(0.550792\pi\) | |||||||
\(284\) | −6.92549e8 | − | 1.67196e9i | −0.00631710 | − | 0.0152508i | ||||
\(285\) | − | 5.86752e10i | − | 0.526808i | ||||||
\(286\) | −1.70264e9 | + | 7.05255e8i | −0.0150479 | + | 0.00623303i | ||||
\(287\) | 1.98140e10 | + | 1.98140e10i | 0.172387 | + | 0.172387i | ||||
\(288\) | −3.92287e10 | −0.335999 | ||||||||
\(289\) | −9.80599e10 | − | 6.66884e10i | −0.826896 | − | 0.562354i | ||||
\(290\) | 1.52459e11 | 1.26579 | ||||||||
\(291\) | 1.61102e10 | + | 1.61102e10i | 0.131699 | + | 0.131699i | ||||
\(292\) | 6.31666e8 | − | 2.61645e8i | 0.00508470 | − | 0.00210615i | ||||
\(293\) | 1.10831e11i | 0.878529i | 0.898358 | + | 0.439264i | \(0.144761\pi\) | ||||
−0.898358 | + | 0.439264i | \(0.855239\pi\) | |||||||
\(294\) | −5.93736e9 | − | 1.43341e10i | −0.0463479 | − | 0.111894i | ||||
\(295\) | 2.97806e11 | + | 1.23355e11i | 2.28947 | + | 0.948329i | ||||
\(296\) | 6.79202e10 | − | 1.63974e11i | 0.514264 | − | 1.24154i | ||||
\(297\) | 2.69098e9 | − | 2.69098e9i | 0.0200681 | − | 0.0200681i | ||||
\(298\) | −2.87870e10 | + | 2.87870e10i | −0.211458 | + | 0.211458i | ||||
\(299\) | −1.37007e10 | + | 3.30764e10i | −0.0991338 | + | 0.239330i | ||||
\(300\) | 9.62098e9 | + | 3.98514e9i | 0.0685763 | + | 0.0284052i | ||||
\(301\) | −3.32350e10 | − | 8.02364e10i | −0.233371 | − | 0.563407i | ||||
\(302\) | − | 8.18725e10i | − | 0.566378i | ||||||
\(303\) | 8.03395e9 | − | 3.32777e9i | 0.0547567 | − | 0.0226810i | ||||
\(304\) | −1.99920e11 | − | 1.99920e11i | −1.34253 | − | 1.34253i | ||||
\(305\) | −1.27121e11 | −0.841137 | ||||||||
\(306\) | −4.75000e10 | + | 1.54311e11i | −0.309705 | + | 1.00612i | ||||
\(307\) | −5.07636e10 | −0.326159 | −0.163080 | − | 0.986613i | \(-0.552143\pi\) | ||||
−0.163080 | + | 0.986613i | \(0.552143\pi\) | |||||||
\(308\) | 9.68382e8 | + | 9.68382e8i | 0.00613152 | + | 0.00613152i | ||||
\(309\) | −2.31207e10 | + | 9.57690e9i | −0.144274 | + | 0.0597601i | ||||
\(310\) | 1.66315e11i | 1.02283i | ||||||||
\(311\) | 5.39760e10 | + | 1.30310e11i | 0.327174 | + | 0.789868i | 0.998800 | + | 0.0489778i | \(0.0155963\pi\) |
−0.671626 | + | 0.740891i | \(0.734404\pi\) | |||||||
\(312\) | −4.15575e9 | − | 1.72137e9i | −0.0248287 | − | 0.0102844i | ||||
\(313\) | 3.88776e10 | − | 9.38589e10i | 0.228955 | − | 0.552747i | −0.767096 | − | 0.641533i | \(-0.778299\pi\) |
0.996051 | + | 0.0887862i | \(0.0282988\pi\) | |||||||
\(314\) | 1.81266e11 | − | 1.81266e11i | 1.05228 | − | 1.05228i | ||||
\(315\) | 1.31221e11 | − | 1.31221e11i | 0.750941 | − | 0.750941i | ||||
\(316\) | −5.65616e9 | + | 1.36552e10i | −0.0319102 | + | 0.0770380i | ||||
\(317\) | 1.98727e11 | + | 8.23153e10i | 1.10532 | + | 0.457840i | 0.859325 | − | 0.511430i | \(-0.170884\pi\) |
0.245999 | + | 0.969270i | \(0.420884\pi\) | |||||||
\(318\) | −8.08967e9 | − | 1.95302e10i | −0.0443618 | − | 0.107099i | ||||
\(319\) | 9.79402e9i | 0.0529545i | ||||||||
\(320\) | −2.49468e11 | + | 1.03333e11i | −1.32996 | + | 0.550888i | ||||
\(321\) | 2.29625e10 | + | 2.29625e10i | 0.120711 | + | 0.120711i | ||||
\(322\) | 1.78737e11 | 0.926536 | ||||||||
\(323\) | −2.86872e11 | + | 1.51831e11i | −1.46648 | + | 0.776154i | ||||
\(324\) | 3.17214e10 | 0.159919 | ||||||||
\(325\) | −6.30021e10 | − | 6.30021e10i | −0.313242 | − | 0.313242i | ||||
\(326\) | −1.29482e11 | + | 5.36333e10i | −0.634937 | + | 0.263000i | ||||
\(327\) | 2.41160e10i | 0.116638i | ||||||||
\(328\) | 2.99311e10 | + | 7.22601e10i | 0.142788 | + | 0.344720i | ||||
\(329\) | −9.78491e10 | − | 4.05304e10i | −0.460442 | − | 0.190721i | ||||
\(330\) | −2.40749e9 | + | 5.81219e9i | −0.0111751 | + | 0.0269791i | ||||
\(331\) | −3.56556e10 | + | 3.56556e10i | −0.163268 | + | 0.163268i | −0.784013 | − | 0.620745i | \(-0.786830\pi\) |
0.620745 | + | 0.784013i | \(0.286830\pi\) | |||||||
\(332\) | 1.69350e9 | − | 1.69350e9i | 0.00765005 | − | 0.00765005i | ||||
\(333\) | −1.25309e11 | + | 3.02524e11i | −0.558451 | + | 1.34822i | ||||
\(334\) | −3.12712e11 | − | 1.29529e11i | −1.37494 | − | 0.569521i | ||||
\(335\) | −1.82385e11 | − | 4.40316e11i | −0.791201 | − | 1.91013i | ||||
\(336\) | 2.65078e10i | 0.113461i | ||||||||
\(337\) | 1.28430e11 | − | 5.31973e10i | 0.542414 | − | 0.224675i | −0.0946166 | − | 0.995514i | \(-0.530163\pi\) |
0.637031 | + | 0.770839i | \(0.280163\pi\) | |||||||
\(338\) | 1.78143e11 | + | 1.78143e11i | 0.742409 | + | 0.742409i | ||||
\(339\) | −5.10142e10 | −0.209794 | ||||||||
\(340\) | −7.57516e9 | − | 8.02772e10i | −0.0307423 | − | 0.325790i | ||||
\(341\) | −1.06841e10 | −0.0427902 | ||||||||
\(342\) | 3.12474e11 | + | 3.12474e11i | 1.23508 | + | 1.23508i | ||||
\(343\) | 2.29531e11 | − | 9.50750e10i | 0.895403 | − | 0.370888i | ||||
\(344\) | − | 2.42411e11i | − | 0.933337i | ||||||
\(345\) | 4.67692e10 | + | 1.12911e11i | 0.177735 | + | 0.429091i | ||||
\(346\) | 1.08223e11 | + | 4.48274e10i | 0.405954 | + | 0.168152i | ||||
\(347\) | −1.67524e11 | + | 4.04438e11i | −0.620288 | + | 1.49751i | 0.231077 | + | 0.972935i | \(0.425775\pi\) |
−0.851366 | + | 0.524573i | \(0.824225\pi\) | |||||||
\(348\) | 3.58255e9 | − | 3.58255e9i | 0.0130944 | − | 0.0130944i | ||||
\(349\) | 3.74848e10 | − | 3.74848e10i | 0.135251 | − | 0.135251i | −0.636240 | − | 0.771491i | \(-0.719511\pi\) |
0.771491 | + | 0.636240i | \(0.219511\pi\) | |||||||
\(350\) | −1.70224e11 | + | 4.10958e11i | −0.606338 | + | 1.46383i | ||||
\(351\) | 1.55616e10 | + | 6.44582e9i | 0.0547233 | + | 0.0226671i | ||||
\(352\) | 3.23572e9 | + | 7.81172e9i | 0.0112339 | + | 0.0271209i | ||||
\(353\) | − | 6.94884e10i | − | 0.238192i | −0.992883 | − | 0.119096i | \(-0.962000\pi\) | ||
0.992883 | − | 0.119096i | \(-0.0379996\pi\) | |||||||
\(354\) | 6.64883e10 | − | 2.75404e10i | 0.225025 | − | 0.0932084i | ||||
\(355\) | 3.73749e10 | + | 3.73749e10i | 0.124897 | + | 0.124897i | ||||
\(356\) | 2.13912e8 | 0.000705845 | ||||||||
\(357\) | 2.90842e10 | + | 8.95268e9i | 0.0947654 | + | 0.0291706i | ||||
\(358\) | 8.40590e10 | 0.270465 | ||||||||
\(359\) | −4.17127e11 | − | 4.17127e11i | −1.32539 | − | 1.32539i | −0.909345 | − | 0.416043i | \(-0.863416\pi\) |
−0.416043 | − | 0.909345i | \(-0.636584\pi\) | |||||||
\(360\) | 4.78552e11 | − | 1.98223e11i | 1.50165 | − | 0.622003i | ||||
\(361\) | 5.65665e11i | 1.75298i | ||||||||
\(362\) | −1.08848e11 | − | 2.62783e11i | −0.333144 | − | 0.804282i | ||||
\(363\) | 5.14852e10 | + | 2.13259e10i | 0.155633 | + | 0.0644654i | ||||
\(364\) | −2.31960e9 | + | 5.60002e9i | −0.00692560 | + | 0.0167199i | ||||
\(365\) | −1.41202e10 | + | 1.41202e10i | −0.0416412 | + | 0.0416412i | ||||
\(366\) | −2.00684e10 | + | 2.00684e10i | −0.0584585 | + | 0.0584585i | ||||
\(367\) | 1.51826e11 | − | 3.66541e11i | 0.436868 | − | 1.05469i | −0.540157 | − | 0.841564i | \(-0.681635\pi\) |
0.977024 | − | 0.213127i | \(-0.0683650\pi\) | |||||||
\(368\) | 5.44067e11 | + | 2.25360e11i | 1.54645 | + | 0.640562i | ||||
\(369\) | −5.52214e10 | − | 1.33316e11i | −0.155056 | − | 0.374339i | ||||
\(370\) | − | 1.09866e12i | − | 3.04757i | ||||||
\(371\) | 1.24173e11 | − | 5.14342e10i | 0.340287 | − | 0.140951i | ||||
\(372\) | 3.90814e9 | + | 3.90814e9i | 0.0105810 | + | 0.0105810i | ||||
\(373\) | −3.11935e11 | −0.834401 | −0.417200 | − | 0.908815i | \(-0.636989\pi\) | ||||
−0.417200 | + | 0.908815i | \(0.636989\pi\) | |||||||
\(374\) | 3.46464e10 | − | 3.26932e9i | 0.0915663 | − | 0.00864043i | ||||
\(375\) | −1.82562e11 | −0.476727 | ||||||||
\(376\) | −2.09036e11 | − | 2.09036e11i | −0.539357 | − | 0.539357i | ||||
\(377\) | −4.00487e10 | + | 1.65887e10i | −0.102106 | + | 0.0422938i | ||||
\(378\) | − | 8.40911e10i | − | 0.211854i | ||||||
\(379\) | −2.20319e11 | − | 5.31897e11i | −0.548499 | − | 1.32419i | −0.918595 | − | 0.395200i | \(-0.870675\pi\) |
0.370096 | − | 0.928993i | \(-0.379325\pi\) | |||||||
\(380\) | −2.03894e11 | − | 8.44558e10i | −0.501625 | − | 0.207780i | ||||
\(381\) | 4.63962e10 | − | 1.12010e11i | 0.112803 | − | 0.272330i | ||||
\(382\) | −3.95481e11 | + | 3.95481e11i | −0.950256 | + | 0.950256i | ||||
\(383\) | 8.41466e10 | − | 8.41466e10i | 0.199821 | − | 0.199821i | −0.600102 | − | 0.799923i | \(-0.704873\pi\) |
0.799923 | + | 0.600102i | \(0.204873\pi\) | |||||||
\(384\) | −3.26416e10 | + | 7.88039e10i | −0.0766093 | + | 0.184951i | ||||
\(385\) | −3.69540e10 | − | 1.53068e10i | −0.0857211 | − | 0.0355068i | ||||
\(386\) | 2.68264e11 | + | 6.47646e11i | 0.615063 | + | 1.48489i | ||||
\(387\) | 4.47236e11i | 1.01353i | ||||||||
\(388\) | 7.91711e10 | − | 3.27938e10i | 0.177347 | − | 0.0734596i | ||||
\(389\) | 3.10285e11 | + | 3.10285e11i | 0.687049 | + | 0.687049i | 0.961579 | − | 0.274529i | \(-0.0885221\pi\) |
−0.274529 | + | 0.961579i | \(0.588522\pi\) | |||||||
\(390\) | −2.78443e10 | −0.0609461 | ||||||||
\(391\) | 4.31016e11 | − | 5.20835e11i | 0.932605 | − | 1.12695i | ||||
\(392\) | 2.75341e11 | 0.588957 | ||||||||
\(393\) | −7.99499e10 | − | 7.99499e10i | −0.169064 | − | 0.169064i | ||||
\(394\) | 3.95235e11 | − | 1.63712e11i | 0.826271 | − | 0.342252i | ||||
\(395\) | − | 4.31684e11i | − | 0.892234i | ||||||
\(396\) | −2.69887e9 | − | 6.51565e9i | −0.00551510 | − | 0.0133146i | ||||
\(397\) | 4.72202e11 | + | 1.95592e11i | 0.954048 | + | 0.395180i | 0.804751 | − | 0.593613i | \(-0.202299\pi\) |
0.149297 | + | 0.988792i | \(0.452299\pi\) | |||||||
\(398\) | −2.89524e11 | + | 6.98974e11i | −0.578377 | + | 1.39633i | ||||
\(399\) | 5.88942e10 | − | 5.88942e10i | 0.116331 | − | 0.116331i | ||||
\(400\) | −1.03631e12 | + | 1.03631e12i | −2.02404 | + | 2.02404i | ||||
\(401\) | 2.43192e11 | − | 5.87118e11i | 0.469677 | − | 1.13390i | −0.494627 | − | 0.869105i | \(-0.664695\pi\) |
0.964304 | − | 0.264796i | \(-0.0853047\pi\) | |||||||
\(402\) | −9.83051e10 | − | 4.07193e10i | −0.187741 | − | 0.0777648i | ||||
\(403\) | −1.80964e10 | − | 4.36885e10i | −0.0341758 | − | 0.0825077i | ||||
\(404\) | − | 3.27077e10i | − | 0.0610848i | ||||||
\(405\) | −8.55957e11 | + | 3.54549e11i | −1.58090 | + | 0.654830i | ||||
\(406\) | 1.53028e11 | + | 1.53028e11i | 0.279514 | + | 0.279514i | ||||
\(407\) | 7.05783e10 | 0.127496 | ||||||||
\(408\) | 6.54382e10 | + | 5.41533e10i | 0.116912 | + | 0.0967507i | ||||
\(409\) | −9.95230e11 | −1.75861 | −0.879303 | − | 0.476263i | \(-0.841991\pi\) | ||||
−0.879303 | + | 0.476263i | \(0.841991\pi\) | |||||||
\(410\) | 3.42350e11 | + | 3.42350e11i | 0.598334 | + | 0.598334i | ||||
\(411\) | 1.34785e11 | − | 5.58296e10i | 0.232998 | − | 0.0965109i | ||||
\(412\) | 9.41284e10i | 0.160947i | ||||||||
\(413\) | 1.75102e11 | + | 4.22734e11i | 0.296153 | + | 0.714976i | ||||
\(414\) | −8.50373e11 | − | 3.52236e11i | −1.42268 | − | 0.589295i | ||||
\(415\) | −2.67685e10 | + | 6.46249e10i | −0.0443004 | + | 0.106951i | ||||
\(416\) | −2.64624e10 | + | 2.64624e10i | −0.0433220 | + | 0.0433220i | ||||
\(417\) | −3.36916e10 | + | 3.36916e10i | −0.0545645 | + | 0.0545645i | ||||
\(418\) | 3.64498e10 | − | 8.79976e10i | 0.0583985 | − | 0.140987i | ||||
\(419\) | 7.81606e11 | + | 3.23752e11i | 1.23887 | + | 0.513155i | 0.903360 | − | 0.428882i | \(-0.141093\pi\) |
0.335507 | + | 0.942038i | \(0.391093\pi\) | |||||||
\(420\) | 7.91829e9 | + | 1.91165e10i | 0.0124168 | + | 0.0299768i | ||||
\(421\) | 5.04944e11i | 0.783382i | 0.920097 | + | 0.391691i | \(0.128110\pi\) | ||||
−0.920097 | + | 0.391691i | \(0.871890\pi\) | |||||||
\(422\) | 5.63638e11 | − | 2.33467e11i | 0.865156 | − | 0.358359i | ||||
\(423\) | 3.85662e11 | + | 3.85662e11i | 0.585700 | + | 0.585700i | ||||
\(424\) | 3.75153e11 | 0.563718 | ||||||||
\(425\) | 7.87033e11 | + | 1.48704e12i | 1.17015 | + | 2.21091i | ||||
\(426\) | 1.18007e10 | 0.0173605 | ||||||||
\(427\) | −1.27595e11 | − | 1.27595e11i | −0.185741 | − | 0.185741i | ||||
\(428\) | 1.12846e11 | − | 4.67423e10i | 0.162551 | − | 0.0673307i | ||||
\(429\) | − | 1.78873e9i | − | 0.00254969i | ||||||
\(430\) | −5.74241e11 | − | 1.38634e12i | −0.810002 | − | 1.95552i | ||||
\(431\) | −1.06105e12 | − | 4.39500e11i | −1.48111 | − | 0.613495i | −0.511746 | − | 0.859137i | \(-0.671001\pi\) |
−0.969361 | + | 0.245642i | \(0.921001\pi\) | |||||||
\(432\) | 1.06026e11 | − | 2.55970e11i | 0.146466 | − | 0.353600i | ||||
\(433\) | −1.39575e11 | + | 1.39575e11i | −0.190815 | + | 0.190815i | −0.796048 | − | 0.605233i | \(-0.793080\pi\) |
0.605233 | + | 0.796048i | \(0.293080\pi\) | |||||||
\(434\) | −1.66935e11 | + | 1.66935e11i | −0.225863 | + | 0.225863i | ||||
\(435\) | −5.66280e10 | + | 1.36712e11i | −0.0758280 | + | 0.183065i | ||||
\(436\) | 8.38022e10 | + | 3.47120e10i | 0.111062 | + | 0.0460035i | ||||
\(437\) | −7.08094e11 | − | 1.70949e12i | −0.928805 | − | 2.24233i | ||||
\(438\) | 4.45829e9i | 0.00578808i | ||||||||
\(439\) | 3.38967e11 | − | 1.40405e11i | 0.435579 | − | 0.180423i | −0.154109 | − | 0.988054i | \(-0.549251\pi\) |
0.589688 | + | 0.807631i | \(0.299251\pi\) | |||||||
\(440\) | −7.89453e10 | − | 7.89453e10i | −0.100413 | − | 0.100413i | ||||
\(441\) | −5.07991e11 | −0.639561 | ||||||||
\(442\) | 7.20513e10 | + | 1.36135e11i | 0.0897928 | + | 0.169656i | ||||
\(443\) | −6.90989e10 | −0.0852422 | −0.0426211 | − | 0.999091i | \(-0.513571\pi\) | ||||
−0.0426211 | + | 0.999091i | \(0.513571\pi\) | |||||||
\(444\) | −2.58168e10 | − | 2.58168e10i | −0.0315268 | − | 0.0315268i | ||||
\(445\) | −5.77210e9 | + | 2.39088e9i | −0.00697773 | + | 0.00289027i | ||||
\(446\) | − | 3.02163e11i | − | 0.361605i | ||||||
\(447\) | −1.51214e10 | − | 3.65062e10i | −0.0179146 | − | 0.0432497i | ||||
\(448\) | −3.54117e11 | − | 1.46680e11i | −0.415333 | − | 0.172036i | ||||
\(449\) | 2.93913e11 | − | 7.09568e11i | 0.341279 | − | 0.823921i | −0.656308 | − | 0.754493i | \(-0.727883\pi\) |
0.997587 | − | 0.0694275i | \(-0.0221172\pi\) | |||||||
\(450\) | 1.61975e12 | − | 1.61975e12i | 1.86205 | − | 1.86205i | ||||
\(451\) | −2.19928e10 | + | 2.19928e10i | −0.0250314 | + | 0.0250314i | ||||
\(452\) | −7.34288e10 | + | 1.77273e11i | −0.0827454 | + | 0.199765i | ||||
\(453\) | 7.34163e10 | + | 3.04100e10i | 0.0819126 | + | 0.0339293i | ||||
\(454\) | −1.33788e11 | − | 3.22994e11i | −0.147798 | − | 0.356815i | ||||
\(455\) | − | 1.77035e11i | − | 0.193645i | ||||||
\(456\) | 2.14782e11 | − | 8.89657e10i | 0.232625 | − | 0.0963564i | ||||
\(457\) | 1.36804e11 | + | 1.36804e11i | 0.146716 | + | 0.146716i | 0.776649 | − | 0.629933i | \(-0.216918\pi\) |
−0.629933 | + | 0.776649i | \(0.716918\pi\) | |||||||
\(458\) | 1.75847e11 | 0.186741 | ||||||||
\(459\) | −2.45040e11 | − | 2.02782e11i | −0.257679 | − | 0.213242i | ||||
\(460\) | 4.59680e11 | 0.478680 | ||||||||
\(461\) | 7.20532e11 | + | 7.20532e11i | 0.743018 | + | 0.743018i | 0.973158 | − | 0.230140i | \(-0.0739183\pi\) |
−0.230140 | + | 0.973158i | \(0.573918\pi\) | |||||||
\(462\) | −8.25036e9 | + | 3.41741e9i | −0.00842527 | + | 0.00348986i | ||||
\(463\) | 1.33832e12i | 1.35346i | 0.736229 | + | 0.676732i | \(0.236604\pi\) | ||||
−0.736229 | + | 0.676732i | \(0.763396\pi\) | |||||||
\(464\) | 2.72865e11 | + | 6.58754e11i | 0.273286 | + | 0.659770i | ||||
\(465\) | −1.49137e11 | − | 6.17745e10i | −0.147927 | − | 0.0612733i | ||||
\(466\) | −5.51178e11 | + | 1.33066e12i | −0.541446 | + | 1.30717i | ||||
\(467\) | 3.31225e11 | − | 3.31225e11i | 0.322253 | − | 0.322253i | −0.527378 | − | 0.849631i | \(-0.676825\pi\) |
0.849631 | + | 0.527378i | \(0.176825\pi\) | |||||||
\(468\) | 2.20719e10 | − | 2.20719e10i | 0.0212683 | − | 0.0212683i | ||||
\(469\) | 2.58894e11 | − | 6.25025e11i | 0.247084 | − | 0.596513i | ||||
\(470\) | −1.69066e12 | − | 7.00292e11i | −1.59814 | − | 0.661971i | ||||
\(471\) | 9.52159e10 | + | 2.29872e11i | 0.0891488 | + | 0.215224i | ||||
\(472\) | 1.27717e12i | 1.18443i | ||||||||
\(473\) | 8.90592e10 | − | 3.68895e10i | 0.0818095 | − | 0.0338866i | ||||
\(474\) | −6.81495e10 | − | 6.81495e10i | −0.0620097 | − | 0.0620097i | ||||
\(475\) | 4.60489e12 | 4.15048 | ||||||||
\(476\) | 7.29735e10 | − | 8.81803e10i | 0.0651529 | − | 0.0787300i | ||||
\(477\) | −6.92138e11 | −0.612153 | ||||||||
\(478\) | −7.84848e11 | − | 7.84848e11i | −0.687638 | − | 0.687638i | ||||
\(479\) | −4.80901e11 | + | 1.99196e11i | −0.417394 | + | 0.172890i | −0.581489 | − | 0.813554i | \(-0.697530\pi\) |
0.164095 | + | 0.986445i | \(0.447530\pi\) | |||||||
\(480\) | 1.27750e11i | 0.109844i | ||||||||
\(481\) | 1.19543e11 | + | 2.88602e11i | 0.101829 | + | 0.245836i | ||||
\(482\) | −1.54605e12 | − | 6.40393e11i | −1.30470 | − | 0.540424i | ||||
\(483\) | −6.63885e10 | + | 1.60276e11i | −0.0555048 | + | 0.134001i | ||||
\(484\) | 1.48213e11 | − | 1.48213e11i | 0.122768 | − | 0.122768i | ||||
\(485\) | −1.76978e12 | + | 1.76978e12i | −1.45239 | + | 1.45239i | ||||
\(486\) | −2.49788e11 | + | 6.03040e11i | −0.203099 | + | 0.490324i | ||||
\(487\) | −2.06162e12 | − | 8.53949e11i | −1.66084 | − | 0.687942i | −0.662698 | − | 0.748887i | \(-0.730589\pi\) |
−0.998141 | + | 0.0609451i | \(0.980589\pi\) | |||||||
\(488\) | −1.92745e11 | − | 4.65329e11i | −0.153849 | − | 0.371425i | ||||
\(489\) | − | 1.36030e11i | − | 0.107583i | ||||||
\(490\) | 1.57467e12 | − | 6.52249e11i | 1.23398 | − | 0.511129i | ||||
\(491\) | −3.60252e11 | − | 3.60252e11i | −0.279731 | − | 0.279731i | 0.553271 | − | 0.833001i | \(-0.313379\pi\) |
−0.833001 | + | 0.553271i | \(0.813379\pi\) | |||||||
\(492\) | 1.60895e10 | 0.0123794 | ||||||||
\(493\) | 8.14939e11 | − | 7.68997e10i | 0.621318 | − | 0.0586291i | ||||
\(494\) | 4.21568e11 | 0.318491 | ||||||||
\(495\) | 1.45650e11 | + | 1.45650e11i | 0.109040 | + | 0.109040i | ||||
\(496\) | −7.18624e11 | + | 2.97664e11i | −0.533131 | + | 0.220830i | ||||
\(497\) | 7.50288e10i | 0.0551600i | ||||||||
\(498\) | 5.97635e9 | + | 1.44282e10i | 0.00435416 | + | 0.0105119i | ||||
\(499\) | 4.19060e11 | + | 1.73580e11i | 0.302569 | + | 0.125328i | 0.528802 | − | 0.848745i | \(-0.322641\pi\) |
−0.226234 | + | 0.974073i | \(0.572641\pi\) | |||||||
\(500\) | −2.62776e11 | + | 6.34397e11i | −0.188027 | + | 0.453938i | ||||
\(501\) | 2.32302e11 | − | 2.32302e11i | 0.164734 | − | 0.164734i | ||||
\(502\) | −1.52863e12 | + | 1.52863e12i | −1.07433 | + | 1.07433i | ||||
\(503\) | 3.82395e11 | − | 9.23183e11i | 0.266352 | − | 0.643031i | −0.732954 | − | 0.680278i | \(-0.761859\pi\) |
0.999306 | + | 0.0372474i | \(0.0118590\pi\) | |||||||
\(504\) | 6.79301e11 | + | 2.81376e11i | 0.468948 | + | 0.194245i | ||||
\(505\) | 3.65572e11 | + | 8.82569e11i | 0.250128 | + | 0.603862i | ||||
\(506\) | 1.98391e11i | 0.134538i | ||||||||
\(507\) | −2.25911e11 | + | 9.35756e10i | −0.151846 | + | 0.0628965i | ||||
\(508\) | −3.22451e11 | − | 3.22451e11i | −0.214821 | − | 0.214821i | ||||
\(509\) | 8.36556e11 | 0.552415 | 0.276207 | − | 0.961098i | \(-0.410922\pi\) | ||||
0.276207 | + | 0.961098i | \(0.410922\pi\) | |||||||
\(510\) | 5.02522e11 | + | 1.54686e11i | 0.328919 | + | 0.101248i | ||||
\(511\) | −2.83459e10 | −0.0183906 | ||||||||
\(512\) | −6.89985e11 | − | 6.89985e11i | −0.443736 | − | 0.443736i | ||||
\(513\) | −8.04272e11 | + | 3.33140e11i | −0.512714 | + | 0.212373i | ||||
\(514\) | 3.18318e12i | 2.01154i | ||||||||
\(515\) | −1.05207e12 | − | 2.53992e12i | −0.659040 | − | 1.59106i | ||||
\(516\) | −4.60707e10 | − | 1.90831e10i | −0.0286089 | − | 0.0118502i | ||||
\(517\) | 4.49872e10 | − | 1.08609e11i | 0.0276937 | − | 0.0668585i | ||||
\(518\) | 1.10276e12 | − | 1.10276e12i | 0.672971 | − | 0.672971i | ||||
\(519\) | −8.03948e10 | + | 8.03948e10i | −0.0486379 | + | 0.0486379i | ||||
\(520\) | 1.89101e11 | − | 4.56530e11i | 0.113417 | − | 0.273813i | ||||
\(521\) | 7.95189e11 | + | 3.29378e11i | 0.472825 | + | 0.195851i | 0.606355 | − | 0.795194i | \(-0.292631\pi\) |
−0.133530 | + | 0.991045i | \(0.542631\pi\) | |||||||
\(522\) | −4.26486e11 | − | 1.02963e12i | −0.251413 | − | 0.606965i | ||||
\(523\) | 6.31351e11i | 0.368989i | 0.982834 | + | 0.184494i | \(0.0590648\pi\) | ||||
−0.982834 | + | 0.184494i | \(0.940935\pi\) | |||||||
\(524\) | −3.92902e11 | + | 1.62745e11i | −0.227663 | + | 0.0943012i | ||||
\(525\) | −3.05285e11 | − | 3.05285e11i | −0.175384 | − | 0.175384i | ||||
\(526\) | −2.26711e12 | −1.29133 | ||||||||
\(527\) | 8.38885e10 | + | 8.89003e11i | 0.0473756 | + | 0.502060i | ||||
\(528\) | −2.94226e10 | −0.0164751 | ||||||||
\(529\) | 1.45162e12 | + | 1.45162e12i | 0.805938 | + | 0.805938i | ||||
\(530\) | 2.14549e12 | − | 8.88690e11i | 1.18109 | − | 0.489225i | ||||
\(531\) | − | 2.35631e12i | − | 1.28619i | ||||||
\(532\) | −1.19884e11 | − | 2.89427e11i | −0.0648874 | − | 0.156652i | ||||
\(533\) | −1.27181e11 | − | 5.26802e10i | −0.0682575 | − | 0.0282732i | ||||
\(534\) | −5.33789e8 | + | 1.28868e9i | −0.000284076 | + | 0.000685820i | ||||
\(535\) | −2.52255e12 | + | 2.52255e12i | −1.33121 | + | 1.33121i | ||||
\(536\) | 1.33525e12 | − | 1.33525e12i | 0.698749 | − | 0.698749i | ||||
\(537\) | −3.12222e10 | + | 7.53771e10i | −0.0162024 | + | 0.0391160i | ||||
\(538\) | 1.38266e12 | + | 5.72715e11i | 0.711531 | + | 0.294726i | ||||
\(539\) | 4.19008e10 | + | 1.01157e11i | 0.0213832 | + | 0.0516236i | ||||
\(540\) | − | 2.16268e11i | − | 0.109451i | ||||||
\(541\) | 3.69415e11 | − | 1.53017e11i | 0.185408 | − | 0.0767983i | −0.288048 | − | 0.957616i | \(-0.593006\pi\) |
0.473456 | + | 0.880818i | \(0.343006\pi\) | |||||||
\(542\) | 1.34983e12 | + | 1.34983e12i | 0.671864 | + | 0.671864i | ||||
\(543\) | 2.76071e11 | 0.136277 | ||||||||
\(544\) | 6.24590e11 | − | 3.30572e11i | 0.305773 | − | 0.161835i | ||||
\(545\) | −2.64926e12 | −1.28629 | ||||||||
\(546\) | −2.79483e10 | − | 2.79483e10i | −0.0134582 | − | 0.0134582i | ||||
\(547\) | 2.14004e12 | − | 8.86434e11i | 1.02207 | − | 0.423354i | 0.192224 | − | 0.981351i | \(-0.438430\pi\) |
0.829843 | + | 0.557997i | \(0.188430\pi\) | |||||||
\(548\) | − | 5.48732e11i | − | 0.259925i | ||||||
\(549\) | 3.55606e11 | + | 8.58509e11i | 0.167068 | + | 0.403338i | ||||
\(550\) | −4.56147e11 | − | 1.88942e11i | −0.212556 | − | 0.0880434i | ||||
\(551\) | 8.57358e11 | − | 2.06985e12i | 0.396260 | − | 0.956656i | ||||
\(552\) | −3.42400e11 | + | 3.42400e11i | −0.156967 | + | 0.156967i | ||||
\(553\) | 4.33295e11 | − | 4.33295e11i | 0.197025 | − | 0.197025i | ||||
\(554\) | 2.13731e10 | − | 5.15993e10i | 0.00963993 | − | 0.0232728i | ||||
\(555\) | 9.85183e11 | + | 4.08076e11i | 0.440756 | + | 0.182567i | ||||
\(556\) | 6.85824e10 | + | 1.65573e11i | 0.0304352 | + | 0.0734771i | ||||
\(557\) | − | 5.37647e11i | − | 0.236673i | −0.992974 | − | 0.118336i | \(-0.962244\pi\) | ||
0.992974 | − | 0.118336i | \(-0.0377561\pi\) | |||||||
\(558\) | 1.12321e12 | − | 4.65247e11i | 0.490462 | − | 0.203156i | ||||
\(559\) | 3.01690e11 | + | 3.01690e11i | 0.130680 | + | 0.130680i | ||||
\(560\) | −2.91201e12 | −1.25126 | ||||||||
\(561\) | −9.93712e9 | + | 3.22823e10i | −0.00423572 | + | 0.0137604i | ||||
\(562\) | 1.22229e12 | 0.516845 | ||||||||
\(563\) | 5.85383e10 | + | 5.85383e10i | 0.0245557 | + | 0.0245557i | 0.719278 | − | 0.694722i | \(-0.244473\pi\) |
−0.694722 | + | 0.719278i | \(0.744473\pi\) | |||||||
\(564\) | −5.61837e10 | + | 2.32721e10i | −0.0233805 | + | 0.00968454i | ||||
\(565\) | − | 5.60417e12i | − | 2.31362i | ||||||
\(566\) | 4.67948e11 | + | 1.12973e12i | 0.191657 | + | 0.462700i | ||||
\(567\) | −1.21502e12 | − | 5.03280e11i | −0.493698 | − | 0.204496i | ||||
\(568\) | −8.01425e10 | + | 1.93481e11i | −0.0323069 | + | 0.0779958i | ||||
\(569\) | 2.10595e12 | − | 2.10595e12i | 0.842253 | − | 0.842253i | −0.146899 | − | 0.989152i | \(-0.546929\pi\) |
0.989152 | + | 0.146899i | \(0.0469291\pi\) | |||||||
\(570\) | 1.01759e12 | − | 1.01759e12i | 0.403770 | − | 0.403770i | ||||
\(571\) | 9.53467e11 | − | 2.30187e12i | 0.375356 | − | 0.906189i | −0.617467 | − | 0.786597i | \(-0.711841\pi\) |
0.992823 | − | 0.119593i | \(-0.0381589\pi\) | |||||||
\(572\) | −6.21580e9 | − | 2.57467e9i | −0.00242781 | − | 0.00100563i | ||||
\(573\) | −2.07740e11 | − | 5.01529e11i | −0.0805052 | − | 0.194357i | ||||
\(574\) | 6.87256e11i | 0.264250i | ||||||||
\(575\) | −8.86136e12 | + | 3.67050e12i | −3.38061 | + | 1.40029i | ||||
\(576\) | 1.39572e12 | + | 1.39572e12i | 0.528319 | + | 0.528319i | ||||
\(577\) | −3.75251e12 | −1.40939 | −0.704694 | − | 0.709511i | \(-0.748916\pi\) | ||||
−0.704694 | + | 0.709511i | \(0.748916\pi\) | |||||||
\(578\) | −5.44066e11 | − | 2.85718e12i | −0.202757 | − | 1.06479i | ||||
\(579\) | −6.80396e11 | −0.251599 | ||||||||
\(580\) | 3.93561e11 | + | 3.93561e11i | 0.144406 | + | 0.144406i | ||||
\(581\) | −9.17346e10 | + | 3.79977e10i | −0.0333996 | + | 0.0138345i | ||||
\(582\) | 5.58788e11i | 0.201880i | ||||||||
\(583\) | 5.70900e10 | + | 1.37827e11i | 0.0204669 | + | 0.0494114i | ||||
\(584\) | −7.30971e10 | − | 3.02778e10i | −0.0260041 | − | 0.0107713i | ||||
\(585\) | −3.48882e11 | + | 8.42275e11i | −0.123162 | + | 0.297339i | ||||
\(586\) | −1.92210e12 | + | 1.92210e12i | −0.673345 | + | 0.673345i | ||||
\(587\) | 7.30841e11 | − | 7.30841e11i | 0.254069 | − | 0.254069i | −0.568568 | − | 0.822637i | \(-0.692502\pi\) |
0.822637 | + | 0.568568i | \(0.192502\pi\) | |||||||
\(588\) | 2.16755e10 | − | 5.23292e10i | 0.00747775 | − | 0.0180529i | ||||
\(589\) | 2.25796e12 | + | 9.35277e11i | 0.773032 | + | 0.320200i | ||||
\(590\) | 3.02545e12 | + | 7.30408e12i | 1.02791 | + | 2.48160i | ||||
\(591\) | 4.15221e11i | 0.140002i | ||||||||
\(592\) | 4.74716e12 | − | 1.96634e12i | 1.58850 | − | 0.657976i | ||||
\(593\) | 5.89911e10 | + | 5.89911e10i | 0.0195903 | + | 0.0195903i | 0.716834 | − | 0.697244i | \(-0.245590\pi\) |
−0.697244 | + | 0.716834i | \(0.745590\pi\) | |||||||
\(594\) | 9.33378e10 | 0.0307623 | ||||||||
\(595\) | −9.83496e11 | + | 3.19504e12i | −0.321696 | + | 1.04508i | ||||
\(596\) | −1.48623e11 | −0.0482480 | ||||||||
\(597\) | −5.19242e11 | − | 5.19242e11i | −0.167296 | − | 0.167296i | ||||
\(598\) | −8.11240e11 | + | 3.36026e11i | −0.259414 | + | 0.107453i | ||||
\(599\) | 4.13910e12i | 1.31367i | 0.754035 | + | 0.656834i | \(0.228105\pi\) | ||||
−0.754035 | + | 0.656834i | \(0.771895\pi\) | |||||||
\(600\) | −4.61165e11 | − | 1.11335e12i | −0.145270 | − | 0.350713i | ||||
\(601\) | 4.58528e12 | + | 1.89928e12i | 1.43361 | + | 0.593820i | 0.958240 | − | 0.285966i | \(-0.0923145\pi\) |
0.475369 | + | 0.879786i | \(0.342315\pi\) | |||||||
\(602\) | 8.15131e11 | − | 1.96790e12i | 0.252955 | − | 0.610687i | ||||
\(603\) | −2.46347e12 | + | 2.46347e12i | −0.758787 | + | 0.758787i | ||||
\(604\) | 2.11348e11 | − | 2.11348e11i | 0.0646148 | − | 0.0646148i | ||||
\(605\) | −2.34275e12 | + | 5.65590e12i | −0.710930 | + | 1.71634i | ||||
\(606\) | 1.97043e11 | + | 8.16178e10i | 0.0593518 | + | 0.0245843i | ||||
\(607\) | −8.03755e11 | − | 1.94044e12i | −0.240311 | − | 0.580163i | 0.757002 | − | 0.653412i | \(-0.226663\pi\) |
−0.997314 | + | 0.0732491i | \(0.976663\pi\) | |||||||
\(608\) | − | 1.93416e12i | − | 0.574019i | ||||||
\(609\) | −1.94062e11 | + | 8.03830e10i | −0.0571692 | + | 0.0236803i | ||||
\(610\) | −2.20461e12 | − | 2.20461e12i | −0.644686 | − | 0.644686i | ||||
\(611\) | 5.20309e11 | 0.151034 | ||||||||
\(612\) | −5.20962e11 | + | 2.75726e11i | −0.150115 | + | 0.0794504i | ||||
\(613\) | −7.31208e11 | −0.209155 | −0.104578 | − | 0.994517i | \(-0.533349\pi\) | ||||
−0.104578 | + | 0.994517i | \(0.533349\pi\) | |||||||
\(614\) | −8.80378e11 | − | 8.80378e11i | −0.249983 | − | 0.249983i | ||||
\(615\) | −4.34151e11 | + | 1.79831e11i | −0.122378 | + | 0.0506905i | ||||
\(616\) | − | 1.58480e11i | − | 0.0443467i | ||||||
\(617\) | −2.46678e11 | − | 5.95533e11i | −0.0685247 | − | 0.165433i | 0.885907 | − | 0.463863i | \(-0.153537\pi\) |
−0.954432 | + | 0.298430i | \(0.903537\pi\) | |||||||
\(618\) | −5.67064e11 | − | 2.34886e11i | −0.156381 | − | 0.0647751i | ||||
\(619\) | −2.56388e12 | + | 6.18976e12i | −0.701925 | + | 1.69460i | 0.0173308 | + | 0.999850i | \(0.494483\pi\) |
−0.719255 | + | 0.694746i | \(0.755517\pi\) | |||||||
\(620\) | −4.29329e11 | + | 4.29329e11i | −0.116688 | + | 0.116688i | ||||
\(621\) | 1.28215e12 | − | 1.28215e12i | 0.345960 | − | 0.345960i | ||||
\(622\) | −1.32383e12 | + | 3.19601e12i | −0.354630 | + | 0.856153i | ||||
\(623\) | −8.19345e9 | − | 3.39384e9i | −0.00217907 | − | 0.000902600i | ||||
\(624\) | −4.98348e10 | − | 1.20312e11i | −0.0131584 | − | 0.0317671i | ||||
\(625\) | − | 1.05130e13i | − | 2.75591i | ||||||
\(626\) | 2.30201e12 | − | 9.53524e11i | 0.599132 | − | 0.248169i | ||||
\(627\) | 6.53702e10 | + | 6.53702e10i | 0.0168918 | + | 0.0168918i | ||||
\(628\) | 9.35849e11 | 0.240097 | ||||||||
\(629\) | −5.54159e11 | − | 5.87266e12i | −0.141158 | − | 1.49592i | ||||
\(630\) | 4.55145e12 | 1.15111 | ||||||||
\(631\) | −3.07819e12 | − | 3.07819e12i | −0.772972 | − | 0.772972i | 0.205653 | − | 0.978625i | \(-0.434068\pi\) |
−0.978625 | + | 0.205653i | \(0.934068\pi\) | |||||||
\(632\) | 1.58019e12 | − | 6.54537e11i | 0.393988 | − | 0.163195i | ||||
\(633\) | 5.92140e11i | 0.146591i | ||||||||
\(634\) | 2.01889e12 | + | 4.87402e12i | 0.496261 | + | 1.19808i | ||||
\(635\) | 1.23049e13 | + | 5.09685e12i | 3.00328 | + | 1.24400i | ||||
\(636\) | 2.95329e10 | − | 7.12987e10i | 0.00715730 | − | 0.0172792i | ||||
\(637\) | −3.42673e11 | + | 3.42673e11i | −0.0824618 | + | 0.0824618i | ||||
\(638\) | −1.69855e11 | + | 1.69855e11i | −0.0405868 | + | 0.0405868i | ||||
\(639\) | 1.47859e11 | − | 3.56963e11i | 0.0350828 | − | 0.0846973i | ||||
\(640\) | −8.65700e12 | − | 3.58585e12i | −2.03966 | − | 0.844855i | ||||
\(641\) | −2.15489e12 | − | 5.20237e12i | −0.504156 | − | 1.21714i | −0.947201 | − | 0.320640i | \(-0.896102\pi\) |
0.443045 | − | 0.896499i | \(-0.353898\pi\) | |||||||
\(642\) | 7.96464e11i | 0.185037i | ||||||||
\(643\) | −1.28481e12 | + | 5.32186e11i | −0.296408 | + | 0.122776i | −0.525932 | − | 0.850527i | \(-0.676283\pi\) |
0.229523 | + | 0.973303i | \(0.426283\pi\) | |||||||
\(644\) | 4.61396e11 | + | 4.61396e11i | 0.105703 | + | 0.105703i | ||||
\(645\) | 1.45644e12 | 0.331341 | ||||||||
\(646\) | −7.60828e12 | − | 2.34198e12i | −1.71886 | − | 0.529098i | ||||
\(647\) | 6.85939e12 | 1.53892 | 0.769460 | − | 0.638695i | \(-0.220525\pi\) | ||||
0.769460 | + | 0.638695i | \(0.220525\pi\) | |||||||
\(648\) | −2.59567e12 | − | 2.59567e12i | −0.578313 | − | 0.578313i | ||||
\(649\) | −4.69218e11 | + | 1.94356e11i | −0.103818 | + | 0.0430029i | ||||
\(650\) | − | 2.18525e12i | − | 0.480166i | ||||||
\(651\) | −8.76884e10 | − | 2.11699e11i | −0.0191350 | − | 0.0461959i | ||||
\(652\) | −4.72700e11 | − | 1.95799e11i | −0.102440 | − | 0.0424322i | ||||
\(653\) | 1.02935e12 | − | 2.48506e12i | 0.221540 | − | 0.534846i | −0.773559 | − | 0.633724i | \(-0.781525\pi\) |
0.995100 | + | 0.0988784i | \(0.0315255\pi\) | |||||||
\(654\) | −4.18235e11 | + | 4.18235e11i | −0.0893966 | + | 0.0893966i | ||||
\(655\) | 8.78289e12 | − | 8.78289e12i | 1.86445 | − | 1.86445i | ||||
\(656\) | −8.66526e11 | + | 2.09198e12i | −0.182690 | + | 0.441052i | ||||
\(657\) | 1.34861e11 | + | 5.58611e10i | 0.0282385 | + | 0.0116968i | ||||
\(658\) | −9.94060e11 | − | 2.39987e12i | −0.206726 | − | 0.499082i | ||||
\(659\) | 5.52408e12i | 1.14097i | 0.821307 | + | 0.570487i | \(0.193245\pi\) | ||||
−0.821307 | + | 0.570487i | \(0.806755\pi\) | |||||||
\(660\) | −2.12185e10 | + | 8.78899e9i | −0.00435278 | + | 0.00180298i | ||||
\(661\) | −5.01628e12 | − | 5.01628e12i | −1.02206 | − | 1.02206i | −0.999751 | − | 0.0223070i | \(-0.992899\pi\) |
−0.0223070 | − | 0.999751i | \(-0.507101\pi\) | |||||||
\(662\) | −1.23673e12 | −0.250273 | ||||||||
\(663\) | −1.48837e11 | + | 1.40446e10i | −0.0299157 | + | 0.00282292i | ||||
\(664\) | −2.77149e11 | −0.0553295 | ||||||||
\(665\) | 6.46982e12 | + | 6.46982e12i | 1.28291 | + | 1.28291i | ||||
\(666\) | −7.41978e12 | + | 3.07337e12i | −1.46136 | + | 0.605315i | ||||
\(667\) | 4.66647e12i | 0.912898i | ||||||||
\(668\) | −4.72872e11 | − | 1.14161e12i | −0.0918860 | − | 0.221833i | ||||
\(669\) | 2.70954e11 | + | 1.12233e11i | 0.0522972 | + | 0.0216622i | ||||
\(670\) | 4.47322e12 | − | 1.07993e13i | 0.857598 | − | 2.07042i | ||||
\(671\) | 1.41626e11 | − | 1.41626e11i | 0.0269706 | − | 0.0269706i | ||||
\(672\) | −1.28227e11 | + | 1.28227e11i | −0.0242559 | + | 0.0242559i | ||||
\(673\) | 1.25987e12 | − | 3.04161e12i | 0.236733 | − | 0.571525i | −0.760208 | − | 0.649680i | \(-0.774903\pi\) |
0.996941 | + | 0.0781549i | \(0.0249029\pi\) | |||||||
\(674\) | 3.14990e12 | + | 1.30473e12i | 0.587932 | + | 0.243530i | ||||
\(675\) | 1.72688e12 | + | 4.16905e12i | 0.320180 | + | 0.772983i | ||||
\(676\) | 9.19726e11i | 0.169394i | ||||||||
\(677\) | 3.72091e12 | − | 1.54125e12i | 0.680769 | − | 0.281984i | −0.0153794 | − | 0.999882i | \(-0.504896\pi\) |
0.696148 | + | 0.717898i | \(0.254896\pi\) | |||||||
\(678\) | −8.84724e11 | − | 8.84724e11i | −0.160796 | − | 0.160796i | ||||
\(679\) | −3.55278e12 | −0.641438 | ||||||||
\(680\) | −5.94901e12 | + | 7.18872e12i | −1.06698 | + | 1.28932i | ||||
\(681\) | 3.39327e11 | 0.0604584 | ||||||||
\(682\) | −1.85292e11 | − | 1.85292e11i | −0.0327964 | − | 0.0327964i | ||||
\(683\) | −6.69099e12 | + | 2.77150e12i | −1.17651 | + | 0.487328i | −0.883341 | − | 0.468731i | \(-0.844711\pi\) |
−0.293173 | + | 0.956059i | \(0.594711\pi\) | |||||||
\(684\) | 1.61326e12i | 0.281807i | ||||||||
\(685\) | 6.13316e12 | + | 1.48068e13i | 1.06433 | + | 2.56952i | ||||
\(686\) | 5.62955e12 | + | 2.33184e12i | 0.970544 | + | 0.402012i | ||||
\(687\) | −6.53151e10 | + | 1.57685e11i | −0.0111869 | + | 0.0270075i | ||||
\(688\) | 4.96244e12 | − | 4.96244e12i | 0.844399 | − | 0.844399i | ||||
\(689\) | −4.66893e11 | + | 4.66893e11i | −0.0789280 | + | 0.0789280i | ||||
\(690\) | −1.14707e12 | + | 2.76928e12i | −0.192651 | + | 0.465100i | ||||
\(691\) | 9.00160e12 | + | 3.72858e12i | 1.50200 | + | 0.622147i | 0.973888 | − | 0.227031i | \(-0.0729018\pi\) |
0.528108 | + | 0.849178i | \(0.322902\pi\) | |||||||
\(692\) | 1.63651e11 | + | 3.95088e11i | 0.0271295 | + | 0.0654963i | ||||
\(693\) | 2.92388e11i | 0.0481570i | ||||||||
\(694\) | −9.91935e12 | + | 4.10873e12i | −1.62318 | + | 0.672342i | ||||
\(695\) | −3.70119e12 | − | 3.70119e12i | −0.601742 | − | 0.601742i | ||||
\(696\) | −5.86300e11 | −0.0947062 | ||||||||
\(697\) | 2.00265e12 | + | 1.65729e12i | 0.321409 | + | 0.265981i | ||||
\(698\) | 1.30018e12 | 0.207325 | ||||||||
\(699\) | −9.88500e11 | − | 9.88500e11i | −0.156613 | − | 0.156613i | ||||
\(700\) | −1.50028e12 | + | 6.21436e11i | −0.236173 | + | 0.0978262i | ||||
\(701\) | 5.91498e11i | 0.0925171i | 0.998930 | + | 0.0462585i | \(0.0147298\pi\) | ||||
−0.998930 | + | 0.0462585i | \(0.985270\pi\) | |||||||
\(702\) | 1.58092e11 | + | 3.81668e11i | 0.0245693 | + | 0.0593155i | ||||
\(703\) | −1.49159e13 | − | 6.17835e12i | −2.30329 | − | 0.954055i | ||||
\(704\) | 1.62809e11 | − | 3.93056e11i | 0.0249806 | − | 0.0603084i | ||||
\(705\) | 1.25593e12 | − | 1.25593e12i | 0.191475 | − | 0.191475i | ||||
\(706\) | 1.20512e12 | − | 1.20512e12i | 0.182561 | − | 0.182561i | ||||
\(707\) | −5.18927e11 | + | 1.25280e12i | −0.0781122 | + | 0.188579i | ||||
\(708\) | 2.42728e11 | + | 1.00541e11i | 0.0363054 | + | 0.0150382i | ||||
\(709\) | −4.41380e11 | − | 1.06559e12i | −0.0656001 | − | 0.158373i | 0.887680 | − | 0.460462i | \(-0.152316\pi\) |
−0.953280 | + | 0.302089i | \(0.902316\pi\) | |||||||
\(710\) | 1.29636e12i | 0.191454i | ||||||||
\(711\) | −2.91538e12 | + | 1.20759e12i | −0.427840 | + | 0.177217i | ||||
\(712\) | −1.75038e10 | − | 1.75038e10i | −0.00255254 | − | 0.00255254i | ||||
\(713\) | −5.09057e12 | −0.737673 | ||||||||
\(714\) | 3.49134e11 | + | 6.59661e11i | 0.0502748 | + | 0.0949903i | ||||
\(715\) | 1.96501e11 | 0.0281183 | ||||||||
\(716\) | 2.16992e11 | + | 2.16992e11i | 0.0308557 | + | 0.0308557i | ||||
\(717\) | 9.95302e11 | − | 4.12268e11i | 0.140643 | − | 0.0582563i | ||||
\(718\) | − | 1.44682e13i | − | 2.03168i | ||||||
\(719\) | −2.38380e12 | − | 5.75501e12i | −0.332652 | − | 0.803094i | −0.998380 | − | 0.0568990i | \(-0.981879\pi\) |
0.665728 | − | 0.746195i | \(-0.268121\pi\) | |||||||
\(720\) | 1.38544e13 | + | 5.73869e12i | 1.92129 | + | 0.795823i | ||||
\(721\) | 1.49341e12 | − | 3.60540e12i | 0.205811 | − | 0.496872i | ||||
\(722\) | −9.81015e12 | + | 9.81015e12i | −1.34356 | + | 1.34356i | ||||
\(723\) | 1.14850e12 | − | 1.14850e12i | 0.156318 | − | 0.156318i | ||||
\(724\) | 3.97371e11 | − | 9.59339e11i | 0.0537493 | − | 0.129762i | ||||
\(725\) | −1.07293e13 | − | 4.44423e12i | −1.44228 | − | 0.597413i | ||||
\(726\) | 5.23044e11 | + | 1.26274e12i | 0.0698752 | + | 0.168694i | ||||
\(727\) | 4.90592e12i | 0.651352i | 0.945482 | + | 0.325676i | \(0.105592\pi\) | ||||
−0.945482 | + | 0.325676i | \(0.894408\pi\) | |||||||
\(728\) | 6.48040e11 | − | 2.68427e11i | 0.0855088 | − | 0.0354189i | ||||
\(729\) | 4.48288e12 | + | 4.48288e12i | 0.587872 | + | 0.587872i | ||||
\(730\) | −4.89765e11 | −0.0638315 | ||||||||
\(731\) | −3.76876e12 | − | 7.12078e12i | −0.488169 | − | 0.922357i | ||||
\(732\) | −1.03610e11 | −0.0133384 | ||||||||
\(733\) | 7.04161e12 | + | 7.04161e12i | 0.900957 | + | 0.900957i | 0.995519 | − | 0.0945623i | \(-0.0301451\pi\) |
−0.0945623 | + | 0.995519i | \(0.530145\pi\) | |||||||
\(734\) | 8.98989e12 | − | 3.72373e12i | 1.14320 | − | 0.473529i | ||||
\(735\) | 1.65430e12i | 0.209084i | ||||||||
\(736\) | 1.54169e12 | + | 3.72198e12i | 0.193664 | + | 0.467545i | ||||
\(737\) | 6.93753e11 | + | 2.87362e11i | 0.0866166 | + | 0.0358778i | ||||
\(738\) | 1.35438e12 | − | 3.26975e12i | 0.168068 | − | 0.405752i | ||||
\(739\) | −1.93443e12 | + | 1.93443e12i | −0.238591 | + | 0.238591i | −0.816266 | − | 0.577676i | \(-0.803960\pi\) |
0.577676 | + | 0.816266i | \(0.303960\pi\) | |||||||
\(740\) | 2.83611e12 | − | 2.83611e12i | 0.347680 | − | 0.347680i | ||||
\(741\) | −1.56584e11 | + | 3.78027e11i | −0.0190794 | + | 0.0460618i | ||||
\(742\) | 3.04550e12 | + | 1.26149e12i | 0.368843 | + | 0.152780i | ||||
\(743\) | 1.75582e12 | + | 4.23893e12i | 0.211364 | + | 0.510278i | 0.993633 | − | 0.112662i | \(-0.0359379\pi\) |
−0.782269 | + | 0.622941i | \(0.785938\pi\) | |||||||
\(744\) | − | 6.39585e11i | − | 0.0765279i | ||||||
\(745\) | 4.01039e12 | − | 1.66116e12i | 0.476961 | − | 0.197564i | ||||
\(746\) | −5.40980e12 | − | 5.40980e12i | −0.639523 | − | 0.639523i | ||||
\(747\) | 5.11327e11 | 0.0600836 | ||||||||
\(748\) | 9.78767e10 | + | 8.09977e10i | 0.0114320 | + | 0.00946053i | ||||
\(749\) | −5.06393e12 | −0.587921 | ||||||||
\(750\) | −3.16611e12 | − | 3.16611e12i | −0.365385 | − | 0.365385i | ||||
\(751\) | −2.07704e12 | + | 8.60338e11i | −0.238268 | + | 0.0986937i | −0.498622 | − | 0.866819i | \(-0.666161\pi\) |
0.260355 | + | 0.965513i | \(0.416161\pi\) | |||||||
\(752\) | − | 8.55847e12i | − | 0.975923i | ||||||
\(753\) | −8.02965e11 | − | 1.93853e12i | −0.0910163 | − | 0.219733i | ||||
\(754\) | −9.82246e11 | − | 4.06860e11i | −0.110675 | − | 0.0458431i | ||||
\(755\) | −3.34069e12 | + | 8.06515e12i | −0.374176 | + | 0.903340i | ||||
\(756\) | 2.17075e11 | − | 2.17075e11i | 0.0241692 | − | 0.0241692i | ||||
\(757\) | 5.39870e12 | − | 5.39870e12i | 0.597527 | − | 0.597527i | −0.342127 | − | 0.939654i | \(-0.611147\pi\) |
0.939654 | + | 0.342127i | \(0.111147\pi\) | |||||||
\(758\) | 5.40361e12 | − | 1.30455e13i | 0.594528 | − | 1.43532i | ||||
\(759\) | −1.77900e11 | − | 7.36886e10i | −0.0194576 | − | 0.00805958i | ||||
\(760\) | 9.77332e12 | + | 2.35949e13i | 1.06263 | + | 2.56541i | ||||
\(761\) | − | 2.68818e12i | − | 0.290555i | −0.989391 | − | 0.145277i | \(-0.953593\pi\) | ||
0.989391 | − | 0.145277i | \(-0.0464075\pi\) | |||||||
\(762\) | 2.74719e12 | − | 1.13792e12i | 0.295183 | − | 0.122269i | ||||
\(763\) | −2.65915e12 | − | 2.65915e12i | −0.284041 | − | 0.284041i | ||||
\(764\) | −2.04181e12 | −0.216818 | ||||||||
\(765\) | 1.09756e13 | − | 1.32628e13i | 1.15865 | − | 1.40010i | ||||
\(766\) | 2.91866e12 | 0.306305 | ||||||||
\(767\) | −1.58949e12 | − | 1.58949e12i | −0.165835 | − | 0.165835i | ||||
\(768\) | −7.70075e11 | + | 3.18975e11i | −0.0798743 | + | 0.0330850i | ||||
\(769\) | 2.68084e11i | 0.0276441i | 0.999904 | + | 0.0138221i | \(0.00439984\pi\) | ||||
−0.999904 | + | 0.0138221i | \(0.995600\pi\) | |||||||
\(770\) | −3.75419e11 | − | 9.06343e11i | −0.0384865 | − | 0.0929147i | ||||
\(771\) | −2.85441e12 | − | 1.18234e12i | −0.290919 | − | 0.120503i | ||||
\(772\) | −9.79349e11 | + | 2.36436e12i | −0.0992338 | + | 0.239572i | ||||
\(773\) | −6.88753e12 | + | 6.88753e12i | −0.693834 | + | 0.693834i | −0.963073 | − | 0.269239i | \(-0.913228\pi\) |
0.269239 | + | 0.963073i | \(0.413228\pi\) | |||||||
\(774\) | −7.75627e12 | + | 7.75627e12i | −0.776817 | + | 0.776817i | ||||
\(775\) | 4.84813e12 | − | 1.17044e13i | 0.482744 | − | 1.16545i | ||||
\(776\) | −9.16177e12 | − | 3.79493e12i | −0.906988 | − | 0.375687i | ||||
\(777\) | 5.79261e11 | + | 1.39846e12i | 0.0570138 | + | 0.137643i | ||||
\(778\) | 1.07624e13i | 1.05317i | ||||||||
\(779\) | 6.57312e12 | − | 2.72268e12i | 0.639519 | − | 0.264897i | ||||
\(780\) | −7.18782e10 | − | 7.18782e10i | −0.00695298 | − | 0.00695298i | ||||
\(781\) | −8.32790e10 | −0.00800950 | ||||||||
\(782\) | 1.65077e13 | − | 1.55770e12i | 1.57854 | − | 0.148955i | ||||
\(783\) | 2.19546e12 | 0.208736 | ||||||||
\(784\) | 5.63657e12 | + | 5.63657e12i | 0.532835 | + | 0.532835i | ||||
\(785\) | −2.52525e13 | + | 1.04599e13i | −2.37351 | + | 0.983141i | ||||
\(786\) | − | 2.77309e12i | − | 0.259157i | ||||||
\(787\) | −4.97854e12 | − | 1.20192e13i | −0.462610 | − | 1.11684i | −0.967322 | − | 0.253552i | \(-0.918401\pi\) |
0.504711 | − | 0.863288i | \(-0.331599\pi\) | |||||||
\(788\) | 1.44288e12 | + | 5.97661e11i | 0.133310 | + | 0.0552188i | ||||
\(789\) | 8.42077e11 | − | 2.03295e12i | 0.0773580 | − | 0.186759i | ||||
\(790\) | 7.48656e12 | − | 7.48656e12i | 0.683849 | − | 0.683849i | ||||
\(791\) | 5.62508e12 | − | 5.62508e12i | 0.510899 | − | 0.510899i | ||||
\(792\) | −3.12316e11 | + | 7.53998e11i | −0.0282053 | + | 0.0680937i | ||||
\(793\) | 8.19001e11 | + | 3.39241e11i | 0.0735453 | + | 0.0304635i | ||||
\(794\) | 4.79715e12 | + | 1.15813e13i | 0.428342 | + | 1.03411i | ||||
\(795\) | 2.25398e12i | 0.200124i | ||||||||
\(796\) | −2.55174e12 | + | 1.05696e12i | −0.225282 | + | 0.0933150i | ||||
\(797\) | 6.71976e12 | + | 6.71976e12i | 0.589918 | + | 0.589918i | 0.937609 | − | 0.347691i | \(-0.113034\pi\) |
−0.347691 | + | 0.937609i | \(0.613034\pi\) | |||||||
\(798\) | 2.04277e12 | 0.178322 | ||||||||
\(799\) | −9.39031e12 | − | 2.89052e12i | −0.815116 | − | 0.250909i | ||||
\(800\) | −1.00260e13 | −0.865409 | ||||||||
\(801\) | 3.22936e10 | + | 3.22936e10i | 0.00277186 | + | 0.00277186i | ||||
\(802\) | 1.43998e13 | − | 5.96459e12i | 1.22906 | − | 0.509092i | ||||
\(803\) | − | 3.14628e10i | − | 0.00267040i | ||||||
\(804\) | −1.48654e11 | − | 3.58882e11i | −0.0125465 | − | 0.0302900i | ||||
\(805\) | −1.76071e13 | − | 7.29311e12i | −1.47777 | − | 0.612112i | ||||
\(806\) | 4.43836e11 | − | 1.07152e12i | 0.0370438 | − | 0.0894316i | ||||
\(807\) | −1.02713e12 | + | 1.02713e12i | −0.0852496 | + | 0.0852496i | ||||
\(808\) | −2.67638e12 | + | 2.67638e12i | −0.220900 | + | 0.220900i | ||||
\(809\) | −6.24628e11 | + | 1.50799e12i | −0.0512688 | + | 0.123774i | −0.947439 | − | 0.319937i | \(-0.896338\pi\) |
0.896170 | + | 0.443711i | \(0.146338\pi\) | |||||||
\(810\) | −2.09934e13 | − | 8.69576e12i | −1.71357 | − | 0.709782i | ||||
\(811\) | 2.28634e12 | + | 5.51971e12i | 0.185587 | + | 0.448046i | 0.989101 | − | 0.147240i | \(-0.0470389\pi\) |
−0.803514 | + | 0.595286i | \(0.797039\pi\) | |||||||
\(812\) | 7.90060e11i | 0.0637761i | ||||||||
\(813\) | −1.71178e12 | + | 7.09043e11i | −0.137417 | + | 0.0569200i | ||||
\(814\) | 1.22402e12 | + | 1.22402e12i | 0.0977188 | + | 0.0977188i | ||||
\(815\) | 1.49436e13 | 1.18644 | ||||||||
\(816\) | 2.31017e11 | + | 2.44819e12i | 0.0182406 | + | 0.193303i | ||||
\(817\) | −2.20508e13 | −1.73151 | ||||||||
\(818\) | −1.72600e13 | − | 1.72600e13i | −1.34788 | − | 1.34788i | ||||
\(819\) | −1.19560e12 | + | 4.95235e11i | −0.0928559 | + | 0.0384622i | ||||
\(820\) | 1.76751e12i | 0.136521i | ||||||||
\(821\) | 7.21721e12 | + | 1.74239e13i | 0.554402 | + | 1.33845i | 0.914142 | + | 0.405393i | \(0.132865\pi\) |
−0.359740 | + | 0.933053i | \(0.617135\pi\) | |||||||
\(822\) | 3.30576e12 | + | 1.36929e12i | 0.252551 | + | 0.104610i | ||||
\(823\) | −4.48110e12 | + | 1.08183e13i | −0.340475 | + | 0.821980i | 0.657193 | + | 0.753723i | \(0.271744\pi\) |
−0.997668 | + | 0.0682572i | \(0.978256\pi\) | |||||||
\(824\) | 7.70227e12 | − | 7.70227e12i | 0.582031 | − | 0.582031i | ||||
\(825\) | 3.38855e11 | − | 3.38855e11i | 0.0254666 | − | 0.0254666i | ||||
\(826\) | −4.29460e12 | + | 1.03681e13i | −0.321005 | + | 0.774976i | ||||
\(827\) | 1.44424e13 | + | 5.98223e12i | 1.07365 | + | 0.444722i | 0.848278 | − | 0.529550i | \(-0.177639\pi\) |
0.225375 | + | 0.974272i | \(0.427639\pi\) | |||||||
\(828\) | −1.28591e12 | − | 3.10445e12i | −0.0950764 | − | 0.229535i | ||||
\(829\) | 7.22400e12i | 0.531230i | 0.964079 | + | 0.265615i | \(0.0855749\pi\) | ||||
−0.964079 | + | 0.265615i | \(0.914425\pi\) | |||||||
\(830\) | −1.58501e12 | + | 6.56532e11i | −0.115926 | + | 0.0480181i | ||||
\(831\) | 3.83312e10 | + | 3.83312e10i | 0.00278835 | + | 0.00278835i | ||||
\(832\) | 1.88301e12 | 0.136238 | ||||||||
\(833\) | 8.08810e12 | − | 4.28073e12i | 0.582028 | − | 0.308046i | ||||
\(834\) | −1.16861e12 | −0.0836414 | ||||||||
\(835\) | 2.55195e13 | + | 2.55195e13i | 1.81670 | + | 1.81670i | ||||
\(836\) | 3.21252e11 | − | 1.33067e11i | 0.0227467 | − | 0.00942198i | ||||
\(837\) | 2.39499e12i | 0.168670i | ||||||||
\(838\) | 7.94042e12 | + | 1.91699e13i | 0.556218 | + | 1.34283i | ||||
\(839\) | −7.19822e12 | − | 2.98160e12i | −0.501529 | − | 0.207740i | 0.117553 | − | 0.993067i | \(-0.462495\pi\) |
−0.619082 | + | 0.785326i | \(0.712495\pi\) | |||||||
\(840\) | 9.16314e11 | − | 2.21218e12i | 0.0635020 | − | 0.153307i | ||||
\(841\) | 6.26284e12 | − | 6.26284e12i | 0.431707 | − | 0.431707i | ||||
\(842\) | −8.75709e12 | + | 8.75709e12i | −0.600420 | + | 0.600420i | ||||
\(843\) | −4.53997e11 | + | 1.09604e12i | −0.0309620 | + | 0.0747488i | ||||
\(844\) | 2.05767e12 | + | 8.52315e11i | 0.139584 | + | 0.0578174i | ||||
\(845\) | −1.02797e13 | − | 2.48175e13i | −0.693629 | − | 1.67457i | ||||
\(846\) | 1.33768e13i | 0.897815i | ||||||||
\(847\) | −8.02851e12 | + | 3.32552e12i | −0.535994 | + | 0.222016i | ||||
\(848\) | 7.67984e12 | + | 7.67984e12i | 0.510001 | + | 0.510001i | ||||
\(849\) | −1.18685e12 | −0.0783995 | ||||||||
\(850\) | −1.21399e13 | + | 3.94385e13i | −0.797684 | + | 2.59140i | ||||
\(851\) | 3.36278e13 | 2.19794 | ||||||||
\(852\) | 3.04626e10 | + | 3.04626e10i | 0.00198056 | + | 0.00198056i | ||||
\(853\) | 5.36487e12 | − | 2.22220e12i | 0.346967 | − | 0.143719i | −0.202392 | − | 0.979304i | \(-0.564872\pi\) |
0.549360 | + | 0.835586i | \(0.314872\pi\) | |||||||
\(854\) | − | 4.42568e12i | − | 0.284721i | ||||||
\(855\) | −1.80313e13 | − | 4.35314e13i | −1.15393 | − | 2.78583i | ||||
\(856\) | −1.30587e13 | − | 5.40907e12i | −0.831317 | − | 0.344343i | ||||
\(857\) | −1.07588e11 | + | 2.59740e11i | −0.00681317 | + | 0.0164485i | −0.927250 | − | 0.374444i | \(-0.877834\pi\) |
0.920436 | + | 0.390892i | \(0.127834\pi\) | |||||||
\(858\) | 3.10215e10 | − | 3.10215e10i | 0.00195420 | − | 0.00195420i | ||||
\(859\) | −2.80043e12 | + | 2.80043e12i | −0.175491 | + | 0.175491i | −0.789387 | − | 0.613896i | \(-0.789602\pi\) |
0.613896 | + | 0.789387i | \(0.289602\pi\) | |||||||
\(860\) | 2.09638e12 | − | 5.06110e12i | 0.130685 | − | 0.315502i | ||||
\(861\) | −6.16274e11 | − | 2.55269e11i | −0.0382172 | − | 0.0158301i | ||||
\(862\) | −1.07793e13 | − | 2.60235e13i | −0.664978 | − | 1.60540i | ||||
\(863\) | − | 3.37264e12i | − | 0.206977i | −0.994631 | − | 0.103488i | \(-0.967000\pi\) | ||
0.994631 | − | 0.103488i | \(-0.0330005\pi\) | |||||||
\(864\) | 1.75110e12 | − | 7.25328e11i | 0.106905 | − | 0.0442815i | ||||
\(865\) | −8.83177e12 | − | 8.83177e12i | −0.536383 | − | 0.536383i | ||||
\(866\) | −4.84121e12 | −0.292499 | ||||||||
\(867\) | 2.76416e12 | + | 5.73375e11i | 0.166141 | + | 0.0344630i | ||||
\(868\) | −8.61863e11 | −0.0515347 | ||||||||
\(869\) | 4.80940e11 | + | 4.80940e11i | 0.0286090 | + | 0.0286090i | ||||
\(870\) | −3.35304e12 | + | 1.38887e12i | −0.198427 | + | 0.0821913i | ||||
\(871\) | 3.32355e12i | 0.195668i | ||||||||
\(872\) | −4.01691e12 | − | 9.69769e12i | −0.235271 | − | 0.567994i | ||||
\(873\) | 1.69030e13 | + | 7.00146e12i | 0.984918 | + | 0.407967i | ||||
\(874\) | 1.73669e13 | − | 4.19274e13i | 1.00675 | − | 2.43051i | ||||
\(875\) | 2.01302e13 | − | 2.01302e13i | 1.16095 | − | 1.16095i | ||||
\(876\) | −1.15088e10 | + | 1.15088e10i | −0.000660328 | + | 0.000660328i | ||||
\(877\) | 4.86457e11 | − | 1.17441e12i | 0.0277681 | − | 0.0670381i | −0.909387 | − | 0.415951i | \(-0.863449\pi\) |
0.937155 | + | 0.348912i | \(0.113449\pi\) | |||||||
\(878\) | 8.31359e12 | + | 3.44360e12i | 0.472132 | + | 0.195563i | ||||
\(879\) | −1.00965e12 | − | 2.43751e12i | −0.0570454 | − | 0.137720i | ||||
\(880\) | − | 3.23222e12i | − | 0.181689i | ||||||
\(881\) | 7.26431e12 | − | 3.00898e12i | 0.406259 | − | 0.168278i | −0.170190 | − | 0.985411i | \(-0.554438\pi\) |
0.576449 | + | 0.817133i | \(0.304438\pi\) | |||||||
\(882\) | −8.80992e12 | − | 8.80992e12i | −0.490189 | − | 0.490189i | ||||
\(883\) | 1.36321e13 | 0.754641 | 0.377321 | − | 0.926083i | \(-0.376845\pi\) | ||||
0.377321 | + | 0.926083i | \(0.376845\pi\) | |||||||
\(884\) | −1.65428e11 | + | 5.37418e11i | −0.00911116 | + | 0.0295990i | ||||
\(885\) | −7.67343e12 | −0.420479 | ||||||||
\(886\) | −1.19836e12 | − | 1.19836e12i | −0.0653335 | − | 0.0653335i | ||||
\(887\) | −2.52059e13 | + | 1.04406e13i | −1.36724 | + | 0.566330i | −0.941039 | − | 0.338297i | \(-0.890149\pi\) |
−0.426203 | + | 0.904627i | \(0.640149\pi\) | |||||||
\(888\) | 4.22503e12i | 0.228019i | ||||||||
\(889\) | 7.23494e12 | + | 1.74667e13i | 0.388487 | + | 0.937892i | ||||
\(890\) | −1.41568e11 | − | 5.86394e10i | −0.00756328 | − | 0.00313281i | ||||
\(891\) | 5.58621e11 | − | 1.34863e12i | 0.0296939 | − | 0.0716874i | ||||
\(892\) | 7.80012e11 | − | 7.80012e11i | 0.0412534 | − | 0.0412534i | ||||
\(893\) | −1.90150e13 | + | 1.90150e13i | −1.00061 | + | 1.00061i | ||||
\(894\) | 3.70871e11 | − | 8.95361e11i | 0.0194180 | − | 0.0468791i | ||||
\(895\) | −8.28055e12 | − | 3.42991e12i | −0.431375 | − | 0.178682i | ||||
\(896\) | −5.09008e12 | − | 1.22885e13i | −0.263839 | − | 0.636963i | ||||
\(897\) | − | 8.52262e11i | − | 0.0439549i | ||||||
\(898\) | 1.74031e13 | − | 7.20858e12i | 0.893063 | − | 0.369919i | ||||
\(899\) | −4.35836e12 | − | 4.35836e12i | −0.222538 | − | 0.222538i | ||||
\(900\) | 8.36252e12 | 0.424860 | ||||||||
\(901\) | 1.10201e13 | − | 5.83251e12i | 0.557086 | − | 0.294845i | ||||
\(902\) | −7.62828e11 | −0.0383705 | ||||||||
\(903\) | 1.46188e12 | + | 1.46188e12i | 0.0731673 | + | 0.0731673i | ||||
\(904\) | 2.05142e13 | − | 8.49727e12i | 1.02164 | − | 0.423176i | ||||
\(905\) | 3.03278e13i | 1.50287i | ||||||||
\(906\) | 7.45845e11 | + | 1.80063e12i | 0.0367766 | + | 0.0887866i | ||||
\(907\) | −1.88324e13 | − | 7.80063e12i | −0.924001 | − | 0.382734i | −0.130601 | − | 0.991435i | \(-0.541691\pi\) |
−0.793399 | + | 0.608701i | \(0.791691\pi\) | |||||||
\(908\) | 4.88420e11 | − | 1.17915e12i | 0.0238456 | − | 0.0575683i | ||||
\(909\) | 4.93778e12 | − | 4.93778e12i | 0.239880 | − | 0.239880i | ||||
\(910\) | 3.07026e12 | − | 3.07026e12i | 0.148419 | − | 0.148419i | ||||
\(911\) | −5.21897e11 | + | 1.25997e12i | −0.0251045 | + | 0.0606077i | −0.935935 | − | 0.352174i | \(-0.885443\pi\) |
0.910830 | + | 0.412781i | \(0.135443\pi\) | |||||||
\(912\) | 6.21809e12 | + | 2.57562e12i | 0.297633 | + | 0.123283i | ||||
\(913\) | −4.21760e10 | − | 1.01822e11i | −0.00200885 | − | 0.00484978i | ||||
\(914\) | 4.74511e12i | 0.224899i | ||||||||
\(915\) | 2.79577e12 | − | 1.15805e12i | 0.131858 | − | 0.0546175i | ||||
\(916\) | 4.53936e11 | + | 4.53936e11i | 0.0213042 | + | 0.0213042i | ||||
\(917\) | 1.76313e13 | 0.823424 | ||||||||
\(918\) | −7.32860e11 | − | 7.76643e12i | −0.0340588 | − | 0.360935i | ||||
\(919\) | 1.10004e13 | 0.508732 | 0.254366 | − | 0.967108i | \(-0.418133\pi\) | ||||
0.254366 | + | 0.967108i | \(0.418133\pi\) | |||||||
\(920\) | −3.76143e13 | − | 3.76143e13i | −1.73104 | − | 1.73104i | ||||
\(921\) | 1.11645e12 | − | 4.62448e11i | 0.0511294 | − | 0.0211785i | ||||
\(922\) | 2.49919e13i | 1.13897i | ||||||||
\(923\) | −1.41055e11 | − | 3.40536e11i | −0.00639705 | − | 0.0154438i | ||||
\(924\) | −3.01195e10 | − | 1.24759e10i | −0.00135933 | − | 0.000563052i | ||||
\(925\) | −3.20263e13 | + | 7.73182e13i | −1.43836 | + | 3.47251i | ||||
\(926\) | −2.32101e13 | + | 2.32101e13i | −1.03736 | + | 1.03736i | ||||
\(927\) | −1.42103e13 | + | 1.42103e13i | −0.632040 | + | 0.632040i | ||||
\(928\) | −1.86668e12 | + | 4.50656e12i | −0.0826235 | + | 0.199471i | ||||
\(929\) | 2.64660e12 | + | 1.09626e12i | 0.116578 | + | 0.0482883i | 0.440210 | − | 0.897895i | \(-0.354904\pi\) |
−0.323632 | + | 0.946183i | \(0.604904\pi\) | |||||||
\(930\) | −1.51510e12 | − | 3.65777e12i | −0.0664152 | − | 0.160340i | ||||
\(931\) | − | 2.50463e13i | − | 1.09262i | ||||||
\(932\) | −4.85783e12 | + | 2.01218e12i | −0.210897 | + | 0.0873565i | ||||
\(933\) | −2.37420e12 | − | 2.37420e12i | −0.102577 | − | 0.102577i | ||||
\(934\) | 1.14886e13 | 0.493978 | ||||||||
\(935\) | −3.54637e12 | − | 1.09164e12i | −0.151751 | − | 0.0467119i | ||||
\(936\) | −3.61216e12 | −0.153825 | ||||||||
\(937\) | 1.13082e13 | + | 1.13082e13i | 0.479252 | + | 0.479252i | 0.904893 | − | 0.425640i | \(-0.139951\pi\) |
−0.425640 | + | 0.904893i | \(0.639951\pi\) | |||||||
\(938\) | 1.53295e13 | − | 6.34970e12i | 0.646571 | − | 0.267818i | ||||
\(939\) | 2.41842e12i | 0.101516i | ||||||||
\(940\) | −2.55655e12 | − | 6.17206e12i | −0.106802 | − | 0.257843i | ||||
\(941\) | 1.40509e13 | + | 5.82009e12i | 0.584187 | + | 0.241978i | 0.655147 | − | 0.755501i | \(-0.272606\pi\) |
−0.0709607 | + | 0.997479i | \(0.522606\pi\) | |||||||
\(942\) | −2.33529e12 | + | 5.63789e12i | −0.0966300 | + | 0.233285i | ||||
\(943\) | −1.04787e13 | + | 1.04787e13i | −0.431524 | + | 0.431524i | ||||
\(944\) | −2.61451e13 | + | 2.61451e13i | −1.07156 | + | 1.07156i | ||||
\(945\) | −3.43122e12 | + | 8.28371e12i | −0.139961 | + | 0.337895i | ||||
\(946\) | 2.18429e12 | + | 9.04763e11i | 0.0886748 | + | 0.0367303i | ||||
\(947\) | −1.03088e13 | − | 2.48876e13i | −0.416516 | − | 1.00556i | −0.983349 | − | 0.181726i | \(-0.941832\pi\) |
0.566833 | − | 0.823833i | \(-0.308168\pi\) | |||||||
\(948\) | − | 3.51846e11i | − | 0.0141487i | ||||||
\(949\) | 1.28654e11 | − | 5.32904e10i | 0.00514905 | − | 0.00213281i | ||||
\(950\) | 7.98612e13 | + | 7.98612e13i | 3.18112 | + | 3.18112i | ||||
\(951\) | −5.12049e12 | −0.203002 | ||||||||
\(952\) | −1.31868e13 | + | 1.24434e12i | −0.520322 | + | 0.0490988i | ||||
\(953\) | 2.63032e13 | 1.03297 | 0.516487 | − | 0.856295i | \(-0.327239\pi\) | ||||
0.516487 | + | 0.856295i | \(0.327239\pi\) | |||||||
\(954\) | −1.20035e13 | − | 1.20035e13i | −0.469182 | − | 0.469182i | ||||
\(955\) | 5.50954e13 | − | 2.28213e13i | 2.14339 | − | 0.887819i | ||||
\(956\) | − | 4.05206e12i | − | 0.156897i | ||||||
\(957\) | −8.92220e10 | − | 2.15401e11i | −0.00343849 | − | 0.00830125i | ||||
\(958\) | −1.17947e13 | − | 4.88553e12i | −0.452421 | − | 0.187399i | ||||
\(959\) | −8.70597e12 | + | 2.10181e13i | −0.332379 | + | 0.802434i | ||||
\(960\) | 4.54522e12 | − | 4.54522e12i | 0.172717 | − | 0.172717i | ||||
\(961\) | −1.39412e13 | + | 1.39412e13i | −0.527283 | + | 0.527283i | ||||
\(962\) | −2.93194e12 | + | 7.07833e12i | −0.110374 | + | 0.266467i | ||||
\(963\) | 2.40926e13 | + | 9.97947e12i | 0.902745 | + | 0.373929i | ||||
\(964\) | −2.33788e12 | − | 5.64414e12i | −0.0871917 | − | 0.210499i | ||||
\(965\) | − | 7.47449e13i | − | 2.77465i | ||||||
\(966\) | −3.93097e12 | + | 1.62826e12i | −0.145246 | + | 0.0601627i | ||||
\(967\) | −3.06091e13 | − | 3.06091e13i | −1.12572 | − | 1.12572i | −0.990865 | − | 0.134859i | \(-0.956942\pi\) |
−0.134859 | − | 0.990865i | \(-0.543058\pi\) | |||||||
\(968\) | −2.42558e13 | −0.887925 | ||||||||
\(969\) | 4.92604e12 | − | 5.95258e12i | 0.179490 | − | 0.216894i | ||||
\(970\) | −6.13857e13 | −2.22635 | ||||||||
\(971\) | −1.11996e12 | − | 1.11996e12i | −0.0404313 | − | 0.0404313i | 0.686602 | − | 0.727033i | \(-0.259101\pi\) |
−0.727033 | + | 0.686602i | \(0.759101\pi\) | |||||||
\(972\) | −2.20151e12 | + | 9.11897e11i | −0.0791086 | + | 0.0327678i | ||||
\(973\) | − | 7.43002e12i | − | 0.265755i | ||||||
\(974\) | −2.09442e13 | − | 5.05637e13i | −0.745673 | − | 1.80021i | ||||
\(975\) | 1.95955e12 | + | 8.11672e11i | 0.0694441 | + | 0.0287647i | ||||
\(976\) | 5.58012e12 | − | 1.34716e13i | 0.196843 | − | 0.475220i | ||||
\(977\) | −3.19358e12 | + | 3.19358e12i | −0.112138 | + | 0.112138i | −0.760949 | − | 0.648811i | \(-0.775266\pi\) |
0.648811 | + | 0.760949i | \(0.275266\pi\) | |||||||
\(978\) | 2.35912e12 | − | 2.35912e12i | 0.0824567 | − | 0.0824567i | ||||
\(979\) | 3.76703e9 | − | 9.09441e9i | 0.000131062 | − | 0.000316412i | ||||
\(980\) | 5.74863e12 | + | 2.38116e12i | 0.199089 | + | 0.0824653i | ||||
\(981\) | 7.41101e12 | + | 1.78918e13i | 0.255486 | + | 0.616797i | ||||
\(982\) | − | 1.24955e13i | − | 0.428797i | ||||||
\(983\) | −3.81159e13 | + | 1.57881e13i | −1.30201 | + | 0.539312i | −0.922544 | − | 0.385892i | \(-0.873894\pi\) |
−0.379470 | + | 0.925204i | \(0.623894\pi\) | |||||||
\(984\) | −1.31655e12 | − | 1.31655e12i | −0.0447673 | − | 0.0447673i | ||||
\(985\) | −4.56141e13 | −1.54396 | ||||||||
\(986\) | 1.54669e13 | + | 1.27996e13i | 0.521143 | + | 0.431271i | ||||
\(987\) | 2.52123e12 | 0.0845639 | ||||||||
\(988\) | 1.08825e12 | + | 1.08825e12i | 0.0363347 | + | 0.0363347i | ||||
\(989\) | 4.24333e13 | − | 1.75764e13i | 1.41034 | − | 0.584181i | ||||
\(990\) | 5.05193e12i | 0.167147i | ||||||||
\(991\) | 4.95601e11 | + | 1.19649e12i | 0.0163230 | + | 0.0394072i | 0.931831 | − | 0.362893i | \(-0.118211\pi\) |
−0.915508 | + | 0.402300i | \(0.868211\pi\) | |||||||
\(992\) | −4.91613e12 | − | 2.03633e12i | −0.161184 | − | 0.0667644i | ||||
\(993\) | 4.59360e11 | − | 1.10899e12i | 0.0149928 | − | 0.0361957i | ||||
\(994\) | −1.30120e12 | + | 1.30120e12i | −0.0422771 | + | 0.0422771i | ||||
\(995\) | 5.70413e13 | − | 5.70413e13i | 1.84495 | − | 1.84495i | ||||
\(996\) | −2.18178e10 | + | 5.26729e10i | −0.000702497 | + | 0.00169598i | ||||
\(997\) | 1.94881e13 | + | 8.07223e12i | 0.624656 | + | 0.258741i | 0.672481 | − | 0.740115i | \(-0.265229\pi\) |
−0.0478244 | + | 0.998856i | \(0.515229\pi\) | |||||||
\(998\) | 4.25728e12 | + | 1.02780e13i | 0.135845 | + | 0.327960i | ||||
\(999\) | − | 1.58210e13i | − | 0.502563i |
(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 | 17.10.d.a.2.10 | ✓ | 52 | |
17.3 | odd | 16 | 289.10.a.i.1.39 | 52 | |||
17.9 | even | 8 | inner | 17.10.d.a.9.10 | yes | 52 | |
17.14 | odd | 16 | 289.10.a.i.1.40 | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.2.10 | ✓ | 52 | 1.1 | even | 1 | trivial | |
17.10.d.a.9.10 | yes | 52 | 17.9 | even | 8 | inner | |
289.10.a.i.1.39 | 52 | 17.3 | odd | 16 | |||
289.10.a.i.1.40 | 52 | 17.14 | odd | 16 |