Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,12,Mod(3,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.3");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.c (of order \(5\), 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: | \(8.45177498616\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 4.9 | ||
Character | \(\chi\) | \(=\) | 11.4 |
Dual form | 11.12.c.a.3.9 |
$q$-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 \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 56.7091 | + | 41.2016i | 1.25311 | + | 0.910435i | 0.998398 | − | 0.0565825i | \(-0.0180204\pi\) |
0.254709 | + | 0.967018i | \(0.418020\pi\) | |||||||
\(3\) | 40.8374 | − | 125.685i | 0.0970266 | − | 0.298617i | −0.890750 | − | 0.454494i | \(-0.849820\pi\) |
0.987777 | + | 0.155876i | \(0.0498202\pi\) | |||||||
\(4\) | 885.488 | + | 2725.25i | 0.432367 | + | 1.33069i | ||||
\(5\) | −8463.91 | + | 6149.39i | −1.21126 | + | 0.880029i | −0.995344 | − | 0.0963843i | \(-0.969272\pi\) |
−0.215911 | + | 0.976413i | \(0.569272\pi\) | |||||||
\(6\) | 7494.26 | − | 5444.90i | 0.393456 | − | 0.285863i | ||||
\(7\) | 23115.4 | + | 71141.9i | 0.519831 | + | 1.59988i | 0.774316 | + | 0.632799i | \(0.218094\pi\) |
−0.254485 | + | 0.967077i | \(0.581906\pi\) | |||||||
\(8\) | −17707.8 | + | 54499.0i | −0.191060 | + | 0.588022i | ||||
\(9\) | 129186. | + | 93859.1i | 0.729259 | + | 0.529838i | ||||
\(10\) | −733345. | −2.31904 | ||||||||
\(11\) | 94649.7 | − | 525693.i | 0.177198 | − | 0.984175i | ||||
\(12\) | 378683. | 0.439318 | ||||||||
\(13\) | −416130. | − | 302336.i | −0.310843 | − | 0.225841i | 0.421415 | − | 0.906868i | \(-0.361533\pi\) |
−0.732258 | + | 0.681027i | \(0.761533\pi\) | |||||||
\(14\) | −1.62031e6 | + | 4.98679e6i | −0.805180 | + | 2.47809i | ||||
\(15\) | 427239. | + | 1.31491e6i | 0.145268 | + | 0.447088i | ||||
\(16\) | 1.49811e6 | − | 1.08844e6i | 0.357177 | − | 0.259504i | ||||
\(17\) | −14649.5 | + | 10643.5i | −0.00250238 | + | 0.00181809i | −0.589036 | − | 0.808107i | \(-0.700492\pi\) |
0.586533 | + | 0.809925i | \(0.300492\pi\) | |||||||
\(18\) | 3.45888e6 | + | 1.06453e7i | 0.431456 | + | 1.32789i | ||||
\(19\) | 3.44406e6 | − | 1.05997e7i | 0.319100 | − | 0.982088i | −0.654934 | − | 0.755686i | \(-0.727304\pi\) |
0.974034 | − | 0.226402i | \(-0.0726963\pi\) | |||||||
\(20\) | −2.42533e7 | − | 1.76211e7i | −1.69475 | − | 1.23131i | ||||
\(21\) | 9.88541e6 | 0.528188 | ||||||||
\(22\) | 2.70269e7 | − | 2.59119e7i | 1.11808 | − | 1.07195i | ||||
\(23\) | 1.89458e6 | 0.0613776 | 0.0306888 | − | 0.999529i | \(-0.490230\pi\) | ||||
0.0306888 | + | 0.999529i | \(0.490230\pi\) | |||||||
\(24\) | 6.12654e6 | + | 4.45119e6i | 0.157056 | + | 0.114108i | ||||
\(25\) | 1.87340e7 | − | 5.76574e7i | 0.383673 | − | 1.18082i | ||||
\(26\) | −1.11416e7 | − | 3.42905e7i | −0.183906 | − | 0.566005i | ||||
\(27\) | 3.60117e7 | − | 2.61640e7i | 0.482995 | − | 0.350917i | ||||
\(28\) | −1.73411e8 | + | 1.25991e8i | −1.90418 | + | 1.38347i | ||||
\(29\) | 6.15714e7 | + | 1.89497e8i | 0.557430 | + | 1.71559i | 0.689439 | + | 0.724344i | \(0.257857\pi\) |
−0.132009 | + | 0.991249i | \(0.542143\pi\) | |||||||
\(30\) | −2.99479e7 | + | 9.21702e7i | −0.225009 | + | 0.692506i | ||||
\(31\) | 3.13636e7 | + | 2.27870e7i | 0.196760 | + | 0.142955i | 0.681803 | − | 0.731536i | \(-0.261196\pi\) |
−0.485043 | + | 0.874490i | \(0.661196\pi\) | |||||||
\(32\) | 2.47160e8 | 1.30213 | ||||||||
\(33\) | −6.22062e7 | − | 3.33639e7i | −0.276699 | − | 0.148406i | ||||
\(34\) | −1.26929e6 | −0.00479100 | ||||||||
\(35\) | −6.33126e8 | − | 4.59993e8i | −2.03759 | − | 1.48039i | ||||
\(36\) | −1.41397e8 | + | 4.35175e8i | −0.389741 | + | 1.19950i | ||||
\(37\) | 2.05990e7 | + | 6.33972e7i | 0.0488356 | + | 0.150300i | 0.972501 | − | 0.232901i | \(-0.0748217\pi\) |
−0.923665 | + | 0.383201i | \(0.874822\pi\) | |||||||
\(38\) | 6.32036e8 | − | 4.59201e8i | 1.29399 | − | 0.940141i | ||||
\(39\) | −5.49927e7 | + | 3.99545e7i | −0.0975999 | + | 0.0709105i | ||||
\(40\) | −1.85258e8 | − | 5.70166e8i | −0.286054 | − | 0.880383i | ||||
\(41\) | −2.16533e8 | + | 6.66419e8i | −0.291885 | + | 0.898330i | 0.692365 | + | 0.721548i | \(0.256569\pi\) |
−0.984250 | + | 0.176783i | \(0.943431\pi\) | |||||||
\(42\) | 5.60593e8 | + | 4.07295e8i | 0.661876 | + | 0.480881i | ||||
\(43\) | 4.07524e8 | 0.422743 | 0.211372 | − | 0.977406i | \(-0.432207\pi\) | ||||
0.211372 | + | 0.977406i | \(0.432207\pi\) | |||||||
\(44\) | 1.51646e9 | − | 2.07550e8i | 1.38625 | − | 0.189729i | ||||
\(45\) | −1.67059e9 | −1.34959 | ||||||||
\(46\) | 1.07440e8 | + | 7.80598e7i | 0.0769127 | + | 0.0558803i | ||||
\(47\) | 5.14948e8 | − | 1.58485e9i | 0.327510 | − | 1.00797i | −0.642784 | − | 0.766047i | \(-0.722221\pi\) |
0.970295 | − | 0.241926i | \(-0.0777791\pi\) | |||||||
\(48\) | −7.56212e7 | − | 2.32738e8i | −0.0428368 | − | 0.131838i | ||||
\(49\) | −2.92716e9 | + | 2.12671e9i | −1.48036 | + | 1.07555i | ||||
\(50\) | 3.43797e9 | − | 2.49783e9i | 1.55585 | − | 1.13039i | ||||
\(51\) | 739474. | + | 2.27587e6i | 0.000300114 | + | 0.000923657i | ||||
\(52\) | 4.55464e8 | − | 1.40177e9i | 0.166125 | − | 0.511281i | ||||
\(53\) | −3.14438e9 | − | 2.28453e9i | −1.03281 | − | 0.750377i | −0.0639370 | − | 0.997954i | \(-0.520366\pi\) |
−0.968868 | + | 0.247577i | \(0.920366\pi\) | |||||||
\(54\) | 3.12019e9 | 0.924731 | ||||||||
\(55\) | 2.43158e9 | + | 5.03145e9i | 0.651470 | + | 1.34803i | ||||
\(56\) | −4.28649e9 | −1.04008 | ||||||||
\(57\) | −1.19158e9 | − | 8.65731e8i | −0.262307 | − | 0.190577i | ||||
\(58\) | −4.31593e9 | + | 1.32831e10i | −0.863417 | + | 2.65732i | ||||
\(59\) | −2.81766e9 | − | 8.67188e9i | −0.513102 | − | 1.57916i | −0.786710 | − | 0.617323i | \(-0.788217\pi\) |
0.273608 | − | 0.961841i | \(-0.411783\pi\) | |||||||
\(60\) | −3.20514e9 | + | 2.32867e9i | −0.532126 | + | 0.386612i | ||||
\(61\) | 6.10328e9 | − | 4.43429e9i | 0.925229 | − | 0.672218i | −0.0195913 | − | 0.999808i | \(-0.506236\pi\) |
0.944820 | + | 0.327590i | \(0.106236\pi\) | |||||||
\(62\) | 8.39743e8 | + | 2.58446e9i | 0.116411 | + | 0.358275i | ||||
\(63\) | −3.69113e9 | + | 1.13601e10i | −0.468583 | + | 1.44215i | ||||
\(64\) | 1.09481e10 | + | 7.95425e9i | 1.27453 | + | 0.925997i | ||||
\(65\) | 5.38127e9 | 0.575256 | ||||||||
\(66\) | −2.15301e9 | − | 4.45504e9i | −0.211619 | − | 0.437884i | ||||
\(67\) | 4.62277e9 | 0.418303 | 0.209151 | − | 0.977883i | \(-0.432930\pi\) | ||||
0.209151 | + | 0.977883i | \(0.432930\pi\) | |||||||
\(68\) | −4.19781e7 | − | 3.04989e7i | −0.00350125 | − | 0.00254381i | ||||
\(69\) | 7.73697e7 | − | 2.38119e8i | 0.00595526 | − | 0.0183284i | ||||
\(70\) | −1.69516e10 | − | 5.21716e10i | −1.20551 | − | 3.71018i | ||||
\(71\) | 2.01385e9 | − | 1.46315e9i | 0.132466 | − | 0.0962425i | −0.519579 | − | 0.854422i | \(-0.673911\pi\) |
0.652045 | + | 0.758180i | \(0.273911\pi\) | |||||||
\(72\) | −7.40283e9 | + | 5.37847e9i | −0.450888 | + | 0.327589i | ||||
\(73\) | −3.58390e9 | − | 1.10301e10i | −0.202339 | − | 0.622736i | −0.999812 | − | 0.0193815i | \(-0.993830\pi\) |
0.797473 | − | 0.603355i | \(-0.206170\pi\) | |||||||
\(74\) | −1.44391e9 | + | 4.44391e9i | −0.0756426 | + | 0.232804i | ||||
\(75\) | −6.48159e9 | − | 4.70915e9i | −0.315388 | − | 0.229143i | ||||
\(76\) | 3.19366e10 | 1.44482 | ||||||||
\(77\) | 3.95867e10 | − | 5.41805e9i | 1.66667 | − | 0.228110i | ||||
\(78\) | −4.76478e9 | −0.186863 | ||||||||
\(79\) | −3.03674e9 | − | 2.20632e9i | −0.111035 | − | 0.0806715i | 0.530882 | − | 0.847446i | \(-0.321861\pi\) |
−0.641917 | + | 0.766774i | \(0.721861\pi\) | |||||||
\(80\) | −5.98662e9 | + | 1.84249e10i | −0.204261 | + | 0.628652i | ||||
\(81\) | 6.92347e9 | + | 2.13082e10i | 0.220626 | + | 0.679016i | ||||
\(82\) | −3.97369e10 | + | 2.88705e10i | −1.18364 | + | 0.859961i | ||||
\(83\) | −3.11864e10 | + | 2.26582e10i | −0.869032 | + | 0.631389i | −0.930327 | − | 0.366731i | \(-0.880477\pi\) |
0.0612951 | + | 0.998120i | \(0.480477\pi\) | |||||||
\(84\) | 8.75341e9 | + | 2.69402e10i | 0.228371 | + | 0.702854i | ||||
\(85\) | 5.85411e7 | − | 1.80171e8i | 0.00143106 | − | 0.00440434i | ||||
\(86\) | 2.31103e10 | + | 1.67906e10i | 0.529742 | + | 0.384880i | ||||
\(87\) | 2.63313e10 | 0.566391 | ||||||||
\(88\) | 2.69737e10 | + | 1.44672e10i | 0.544861 | + | 0.292233i | ||||
\(89\) | −7.91040e10 | −1.50160 | −0.750798 | − | 0.660532i | \(-0.770331\pi\) | ||||
−0.750798 | + | 0.660532i | \(0.770331\pi\) | |||||||
\(90\) | −9.47380e10 | − | 6.88312e10i | −1.69118 | − | 1.22872i | ||||
\(91\) | 1.18898e10 | − | 3.65929e10i | 0.199731 | − | 0.614709i | ||||
\(92\) | 1.67763e9 | + | 5.16321e9i | 0.0265377 | + | 0.0816745i | ||||
\(93\) | 4.14479e9 | − | 3.01136e9i | 0.0617797 | − | 0.0448856i | ||||
\(94\) | 9.45005e10 | − | 6.86586e10i | 1.32810 | − | 0.964921i | ||||
\(95\) | 3.60317e10 | + | 1.10894e11i | 0.477754 | + | 1.47038i | ||||
\(96\) | 1.00934e10 | − | 3.10642e10i | 0.126341 | − | 0.388837i | ||||
\(97\) | 5.16141e10 | + | 3.74998e10i | 0.610272 | + | 0.443389i | 0.849510 | − | 0.527572i | \(-0.176898\pi\) |
−0.239238 | + | 0.970961i | \(0.576898\pi\) | |||||||
\(98\) | −2.53620e11 | −2.83427 | ||||||||
\(99\) | 6.15685e10 | − | 5.90284e10i | 0.650676 | − | 0.623832i | ||||
\(100\) | 1.73719e11 | 1.73719 | ||||||||
\(101\) | −5.42866e10 | − | 3.94416e10i | −0.513955 | − | 0.373410i | 0.300367 | − | 0.953824i | \(-0.402891\pi\) |
−0.814322 | + | 0.580413i | \(0.802891\pi\) | |||||||
\(102\) | −5.18344e7 | + | 1.59530e8i | −0.000464855 | + | 0.00143068i | ||||
\(103\) | 3.38741e10 | + | 1.04254e11i | 0.287914 | + | 0.886108i | 0.985510 | + | 0.169617i | \(0.0542530\pi\) |
−0.697596 | + | 0.716491i | \(0.745747\pi\) | |||||||
\(104\) | 2.38458e10 | − | 1.73250e10i | 0.192189 | − | 0.139633i | ||||
\(105\) | −8.36692e10 | + | 6.07892e10i | −0.639771 | + | 0.464821i | ||||
\(106\) | −8.41891e10 | − | 2.59107e11i | −0.611046 | − | 1.88060i | ||||
\(107\) | 6.47216e10 | − | 1.99193e11i | 0.446106 | − | 1.37297i | −0.435160 | − | 0.900353i | \(-0.643308\pi\) |
0.881266 | − | 0.472621i | \(-0.156692\pi\) | |||||||
\(108\) | 1.03191e11 | + | 7.49730e10i | 0.675792 | + | 0.490992i | ||||
\(109\) | 1.24034e11 | 0.772140 | 0.386070 | − | 0.922470i | \(-0.373832\pi\) | ||||
0.386070 | + | 0.922470i | \(0.373832\pi\) | |||||||
\(110\) | −6.94109e10 | + | 3.85515e11i | −0.410930 | + | 2.28234i | ||||
\(111\) | 8.80925e9 | 0.0496207 | ||||||||
\(112\) | 1.12063e11 | + | 8.14186e10i | 0.600847 | + | 0.436541i | ||||
\(113\) | 4.69270e10 | − | 1.44427e11i | 0.239603 | − | 0.737421i | −0.756875 | − | 0.653560i | \(-0.773275\pi\) |
0.996477 | − | 0.0838612i | \(-0.0267252\pi\) | |||||||
\(114\) | −3.19038e10 | − | 9.81898e10i | −0.155191 | − | 0.477628i | ||||
\(115\) | −1.60356e10 | + | 1.16505e10i | −0.0743440 | + | 0.0540141i | ||||
\(116\) | −4.61907e11 | + | 3.35595e11i | −2.04191 | + | 1.48353i | ||||
\(117\) | −2.53812e10 | − | 7.81152e10i | −0.107026 | − | 0.329392i | ||||
\(118\) | 1.97508e11 | − | 6.07867e11i | 0.794756 | − | 2.44601i | ||||
\(119\) | −1.09583e9 | − | 7.96165e8i | −0.00420953 | − | 0.00305840i | ||||
\(120\) | −7.92266e10 | −0.290652 | ||||||||
\(121\) | −2.67395e11 | − | 9.95134e10i | −0.937202 | − | 0.348788i | ||||
\(122\) | 5.28812e11 | 1.77142 | ||||||||
\(123\) | 7.49159e10 | + | 5.44296e10i | 0.239936 | + | 0.174324i | ||||
\(124\) | −3.43282e10 | + | 1.05651e11i | −0.105156 | + | 0.323635i | ||||
\(125\) | 3.81369e10 | + | 1.17373e11i | 0.111774 | + | 0.344005i | ||||
\(126\) | −6.77377e11 | + | 4.92143e11i | −1.90017 | + | 1.38055i | ||||
\(127\) | −1.40916e11 | + | 1.02381e11i | −0.378476 | + | 0.274979i | −0.760717 | − | 0.649084i | \(-0.775152\pi\) |
0.382241 | + | 0.924063i | \(0.375152\pi\) | |||||||
\(128\) | 1.36710e11 | + | 4.20749e11i | 0.351677 | + | 1.08235i | ||||
\(129\) | 1.66422e10 | − | 5.12194e10i | 0.0410173 | − | 0.126238i | ||||
\(130\) | 3.05167e11 | + | 2.21717e11i | 0.720857 | + | 0.523734i | ||||
\(131\) | −8.28779e11 | −1.87692 | −0.938461 | − | 0.345384i | \(-0.887749\pi\) | ||||
−0.938461 | + | 0.345384i | \(0.887749\pi\) | |||||||
\(132\) | 3.58422e10 | − | 1.99071e11i | 0.0778464 | − | 0.432366i | ||||
\(133\) | 8.33697e11 | 1.73710 | ||||||||
\(134\) | 2.62153e11 | + | 1.90465e11i | 0.524178 | + | 0.380837i | ||||
\(135\) | −1.43907e11 | + | 4.42900e11i | −0.276214 | + | 0.850099i | ||||
\(136\) | −3.20649e8 | − | 9.86855e8i | −0.000590970 | − | 0.00181882i | ||||
\(137\) | 1.58401e11 | − | 1.15085e11i | 0.280411 | − | 0.203731i | −0.438685 | − | 0.898641i | \(-0.644556\pi\) |
0.719097 | + | 0.694910i | \(0.244556\pi\) | |||||||
\(138\) | 1.41985e10 | − | 1.03158e10i | 0.0241494 | − | 0.0175456i | ||||
\(139\) | 3.78012e10 | + | 1.16340e11i | 0.0617908 | + | 0.190172i | 0.977187 | − | 0.212382i | \(-0.0681222\pi\) |
−0.915396 | + | 0.402555i | \(0.868122\pi\) | |||||||
\(140\) | 6.92971e11 | − | 2.13274e12i | 1.08896 | − | 3.35146i | ||||
\(141\) | −1.78162e11 | − | 1.29442e11i | −0.269221 | − | 0.195601i | ||||
\(142\) | 1.74488e11 | 0.253617 | ||||||||
\(143\) | −1.98323e11 | + | 1.90141e11i | −0.277347 | + | 0.265905i | ||||
\(144\) | 2.95695e11 | 0.397970 | ||||||||
\(145\) | −1.68643e12 | − | 1.22526e12i | −2.18496 | − | 1.58747i | ||||
\(146\) | 2.51218e11 | − | 7.73171e11i | 0.313408 | − | 0.964572i | ||||
\(147\) | 1.47757e11 | + | 4.54748e11i | 0.177542 | + | 0.546418i | ||||
\(148\) | −1.54533e11 | + | 1.12275e11i | −0.178888 | + | 0.129970i | ||||
\(149\) | 1.06230e11 | − | 7.71807e10i | 0.118501 | − | 0.0860962i | −0.526956 | − | 0.849892i | \(-0.676667\pi\) |
0.645457 | + | 0.763796i | \(0.276667\pi\) | |||||||
\(150\) | −1.73541e11 | − | 5.34104e11i | −0.186595 | − | 0.574280i | ||||
\(151\) | −2.44291e11 | + | 7.51849e11i | −0.253241 | + | 0.779395i | 0.740931 | + | 0.671582i | \(0.234385\pi\) |
−0.994171 | + | 0.107813i | \(0.965615\pi\) | |||||||
\(152\) | 5.16688e11 | + | 3.75396e11i | 0.516522 | + | 0.375275i | ||||
\(153\) | −2.89150e9 | −0.00278817 | ||||||||
\(154\) | 2.46816e12 | + | 1.32378e12i | 2.29620 | + | 1.23155i | ||||
\(155\) | −4.05585e11 | −0.364131 | ||||||||
\(156\) | −1.57581e11 | − | 1.14490e11i | −0.136559 | − | 0.0992158i | ||||
\(157\) | 2.48424e11 | − | 7.64569e11i | 0.207847 | − | 0.639689i | −0.791737 | − | 0.610862i | \(-0.790823\pi\) |
0.999584 | − | 0.0288266i | \(-0.00917705\pi\) | |||||||
\(158\) | −8.13071e10 | − | 2.50237e11i | −0.0656923 | − | 0.202180i | ||||
\(159\) | −4.15538e11 | + | 3.01906e11i | −0.324285 | + | 0.235607i | ||||
\(160\) | −2.09194e12 | + | 1.51988e12i | −1.57721 | + | 1.14591i | ||||
\(161\) | 4.37940e10 | + | 1.34784e11i | 0.0319060 | + | 0.0981966i | ||||
\(162\) | −4.85310e11 | + | 1.49363e12i | −0.341733 | + | 1.05175i | ||||
\(163\) | 2.14533e12 | + | 1.55867e12i | 1.46037 | + | 1.06102i | 0.983267 | + | 0.182172i | \(0.0583128\pi\) |
0.477102 | + | 0.878848i | \(0.341687\pi\) | |||||||
\(164\) | −2.00790e12 | −1.32160 | ||||||||
\(165\) | 7.31675e11 | − | 1.00141e11i | 0.465754 | − | 0.0637456i | ||||
\(166\) | −2.70211e12 | −1.66383 | ||||||||
\(167\) | 4.61548e11 | + | 3.35334e11i | 0.274964 | + | 0.199773i | 0.716718 | − | 0.697363i | \(-0.245644\pi\) |
−0.441754 | + | 0.897136i | \(0.645644\pi\) | |||||||
\(168\) | −1.75049e11 | + | 5.38745e11i | −0.100916 | + | 0.310586i | ||||
\(169\) | −4.72051e11 | − | 1.45282e12i | −0.263398 | − | 0.810655i | ||||
\(170\) | 1.07431e10 | − | 7.80535e9i | 0.00580313 | − | 0.00421622i | ||||
\(171\) | 1.43981e12 | − | 1.04608e12i | 0.753054 | − | 0.547125i | ||||
\(172\) | 3.60857e11 | + | 1.11060e12i | 0.182780 | + | 0.562539i | ||||
\(173\) | 2.11946e11 | − | 6.52304e11i | 0.103985 | − | 0.320034i | −0.885506 | − | 0.464629i | \(-0.846188\pi\) |
0.989491 | + | 0.144595i | \(0.0461878\pi\) | |||||||
\(174\) | 1.49323e12 | + | 1.08489e12i | 0.709749 | + | 0.515663i | ||||
\(175\) | 4.53490e12 | 2.08862 | ||||||||
\(176\) | −4.30390e11 | − | 8.90566e11i | −0.192107 | − | 0.397509i | ||||
\(177\) | −1.20499e12 | −0.521350 | ||||||||
\(178\) | −4.48592e12 | − | 3.25921e12i | −1.88166 | − | 1.36711i | ||||
\(179\) | −2.12556e11 | + | 6.54181e11i | −0.0864534 | + | 0.266076i | −0.984932 | − | 0.172941i | \(-0.944673\pi\) |
0.898479 | + | 0.439017i | \(0.144673\pi\) | |||||||
\(180\) | −1.47929e12 | − | 4.55279e12i | −0.583519 | − | 1.79589i | ||||
\(181\) | −1.39594e12 | + | 1.01421e12i | −0.534117 | + | 0.388058i | −0.821895 | − | 0.569638i | \(-0.807083\pi\) |
0.287779 | + | 0.957697i | \(0.407083\pi\) | |||||||
\(182\) | 2.18195e12 | − | 1.58528e12i | 0.809937 | − | 0.588454i | ||||
\(183\) | −3.08080e11 | − | 9.48173e11i | −0.110964 | − | 0.341512i | ||||
\(184\) | −3.35488e10 | + | 1.03253e11i | −0.0117268 | + | 0.0360914i | ||||
\(185\) | −5.64201e11 | − | 4.09916e11i | −0.191421 | − | 0.139076i | ||||
\(186\) | 3.59120e11 | 0.118282 | ||||||||
\(187\) | 4.20863e9 | + | 8.70854e9i | 0.00134590 | + | 0.00278494i | ||||
\(188\) | 4.77508e12 | 1.48290 | ||||||||
\(189\) | 2.69378e12 | + | 1.95715e12i | 0.812499 | + | 0.590315i | ||||
\(190\) | −2.52569e12 | + | 7.77327e12i | −0.740006 | + | 2.27750i | ||||
\(191\) | −2.85242e11 | − | 8.77883e11i | −0.0811950 | − | 0.249893i | 0.902216 | − | 0.431285i | \(-0.141940\pi\) |
−0.983411 | + | 0.181392i | \(0.941940\pi\) | |||||||
\(192\) | 1.44682e12 | − | 1.05117e12i | 0.400182 | − | 0.290749i | ||||
\(193\) | 1.14698e12 | − | 8.33332e11i | 0.308313 | − | 0.224002i | −0.422859 | − | 0.906195i | \(-0.638974\pi\) |
0.731172 | + | 0.682193i | \(0.238974\pi\) | |||||||
\(194\) | 1.38194e12 | + | 4.25316e12i | 0.361059 | + | 1.11123i | ||||
\(195\) | 2.19757e11 | − | 6.76342e11i | 0.0558152 | − | 0.171781i | ||||
\(196\) | −8.38777e12 | − | 6.09407e12i | −2.07128 | − | 1.50487i | ||||
\(197\) | 4.19616e12 | 1.00760 | 0.503800 | − | 0.863821i | \(-0.331935\pi\) | ||||
0.503800 | + | 0.863821i | \(0.331935\pi\) | |||||||
\(198\) | 5.92356e12 | − | 8.10731e11i | 1.38333 | − | 0.189329i | ||||
\(199\) | 1.30331e12 | 0.296043 | 0.148021 | − | 0.988984i | \(-0.452710\pi\) | ||||
0.148021 | + | 0.988984i | \(0.452710\pi\) | |||||||
\(200\) | 2.81053e12 | + | 2.04197e12i | 0.621045 | + | 0.451216i | ||||
\(201\) | 1.88782e11 | − | 5.81010e11i | 0.0405865 | − | 0.124912i | ||||
\(202\) | −1.45349e12 | − | 4.47339e12i | −0.304075 | − | 0.935846i | ||||
\(203\) | −1.20580e13 | + | 8.76062e12i | −2.45497 | + | 1.78364i | ||||
\(204\) | −5.54751e9 | + | 4.03050e9i | −0.00109934 | + | 0.000798718i | ||||
\(205\) | −2.26536e12 | − | 6.97205e12i | −0.437009 | − | 1.34498i | ||||
\(206\) | −2.37445e12 | + | 7.30780e12i | −0.445957 | + | 1.37252i | ||||
\(207\) | 2.44753e11 | + | 1.77824e11i | 0.0447602 | + | 0.0325202i | ||||
\(208\) | −9.52483e11 | −0.169633 | ||||||||
\(209\) | −5.24623e12 | − | 2.81378e12i | −0.910003 | − | 0.488074i | ||||
\(210\) | −7.24942e12 | −1.22489 | ||||||||
\(211\) | 6.47495e12 | + | 4.70433e12i | 1.06582 | + | 0.774362i | 0.975156 | − | 0.221520i | \(-0.0711017\pi\) |
0.0906621 | + | 0.995882i | \(0.471102\pi\) | |||||||
\(212\) | 3.44160e12 | − | 1.05922e13i | 0.551967 | − | 1.69878i | ||||
\(213\) | −1.01655e11 | − | 3.12861e11i | −0.0158869 | − | 0.0488949i | ||||
\(214\) | 1.18774e13 | − | 8.62940e12i | 1.80902 | − | 1.31433i | ||||
\(215\) | −3.44924e12 | + | 2.50602e12i | −0.512050 | + | 0.372026i | ||||
\(216\) | 7.88225e11 | + | 2.42591e12i | 0.114066 | + | 0.351058i | ||||
\(217\) | −8.96129e11 | + | 2.75800e12i | −0.126428 | + | 0.389104i | ||||
\(218\) | 7.03387e12 | + | 5.11041e12i | 0.967573 | + | 0.702983i | ||||
\(219\) | −1.53267e12 | −0.205592 | ||||||||
\(220\) | −1.15588e13 | + | 1.10820e13i | −1.51213 | + | 1.44975i | ||||
\(221\) | 9.31401e9 | 0.00118844 | ||||||||
\(222\) | 4.99565e11 | + | 3.62955e11i | 0.0621800 | + | 0.0451764i | ||||
\(223\) | −3.79358e12 | + | 1.16754e13i | −0.460652 | + | 1.41774i | 0.403718 | + | 0.914883i | \(0.367718\pi\) |
−0.864370 | + | 0.502856i | \(0.832282\pi\) | |||||||
\(224\) | 5.71320e12 | + | 1.75834e13i | 0.676886 | + | 2.08324i | ||||
\(225\) | 7.83184e12 | − | 5.69017e12i | 0.905441 | − | 0.657841i | ||||
\(226\) | 8.61179e12 | − | 6.25684e12i | 0.971622 | − | 0.705925i | ||||
\(227\) | −1.93866e12 | − | 5.96660e12i | −0.213482 | − | 0.657029i | −0.999258 | − | 0.0385180i | \(-0.987736\pi\) |
0.785776 | − | 0.618511i | \(-0.212264\pi\) | |||||||
\(228\) | 1.30421e12 | − | 4.01394e12i | 0.140186 | − | 0.431449i | ||||
\(229\) | −7.67639e12 | − | 5.57722e12i | −0.805493 | − | 0.585225i | 0.107027 | − | 0.994256i | \(-0.465867\pi\) |
−0.912521 | + | 0.409031i | \(0.865867\pi\) | |||||||
\(230\) | −1.38938e12 | −0.142337 | ||||||||
\(231\) | 9.35651e11 | − | 5.19669e12i | 0.0935940 | − | 0.519830i | ||||
\(232\) | −1.14177e13 | −1.11531 | ||||||||
\(233\) | −1.54779e13 | − | 1.12453e13i | −1.47657 | − | 1.07279i | −0.978642 | − | 0.205571i | \(-0.934095\pi\) |
−0.497926 | − | 0.867219i | \(-0.665905\pi\) | |||||||
\(234\) | 1.77913e12 | − | 5.47559e12i | 0.165775 | − | 0.510204i | ||||
\(235\) | 5.38737e12 | + | 1.65806e13i | 0.490347 | + | 1.50913i | ||||
\(236\) | 2.11380e13 | − | 1.53577e13i | 1.87953 | − | 1.36556i | ||||
\(237\) | −4.01313e11 | + | 2.91571e11i | −0.0348632 | + | 0.0253296i | ||||
\(238\) | −2.93401e10 | − | 9.02996e10i | −0.00249051 | − | 0.00766501i | ||||
\(239\) | 6.00067e11 | − | 1.84682e12i | 0.0497750 | − | 0.153192i | −0.923080 | − | 0.384609i | \(-0.874336\pi\) |
0.972855 | + | 0.231417i | \(0.0743363\pi\) | |||||||
\(240\) | 2.07125e12 | + | 1.50485e12i | 0.167908 | + | 0.121992i | ||||
\(241\) | −1.66560e12 | −0.131971 | −0.0659853 | − | 0.997821i | \(-0.521019\pi\) | ||||
−0.0659853 | + | 0.997821i | \(0.521019\pi\) | |||||||
\(242\) | −1.10636e13 | − | 1.66604e13i | −0.856864 | − | 1.29033i | ||||
\(243\) | 1.08462e13 | 0.821188 | ||||||||
\(244\) | 1.74889e13 | + | 1.27065e13i | 1.29455 | + | 0.940547i | ||||
\(245\) | 1.16973e13 | − | 3.60005e13i | 0.846585 | − | 2.60552i | ||||
\(246\) | 2.00583e12 | + | 6.17331e12i | 0.141955 | + | 0.436893i | ||||
\(247\) | −4.63787e12 | + | 3.36961e12i | −0.320985 | + | 0.233209i | ||||
\(248\) | −1.79725e12 | + | 1.30578e12i | −0.121653 | + | 0.0883864i | ||||
\(249\) | 1.57422e12 | + | 4.84495e12i | 0.104224 | + | 0.320769i | ||||
\(250\) | −2.67326e12 | + | 8.22744e12i | −0.173129 | + | 0.532837i | ||||
\(251\) | −1.16630e12 | − | 8.47365e11i | −0.0738931 | − | 0.0536865i | 0.550225 | − | 0.835016i | \(-0.314542\pi\) |
−0.624119 | + | 0.781330i | \(0.714542\pi\) | |||||||
\(252\) | −3.42277e13 | −2.12165 | ||||||||
\(253\) | 1.79322e11 | − | 9.95968e11i | 0.0108760 | − | 0.0604063i | ||||
\(254\) | −1.22095e13 | −0.724621 | ||||||||
\(255\) | −2.02540e10 | − | 1.47154e10i | −0.00117636 | − | 0.000854676i | ||||
\(256\) | −1.01852e12 | + | 3.13468e12i | −0.0578961 | + | 0.178186i | ||||
\(257\) | 6.85856e12 | + | 2.11085e13i | 0.381593 | + | 1.17442i | 0.938921 | + | 0.344131i | \(0.111827\pi\) |
−0.557328 | + | 0.830292i | \(0.688173\pi\) | |||||||
\(258\) | 3.05409e12 | − | 2.21892e12i | 0.166331 | − | 0.120847i | ||||
\(259\) | −4.03404e12 | + | 2.93090e12i | −0.215076 | + | 0.156262i | ||||
\(260\) | 4.76505e12 | + | 1.46653e13i | 0.248722 | + | 0.765487i | ||||
\(261\) | −9.83189e12 | + | 3.02595e13i | −0.502475 | + | 1.54646i | ||||
\(262\) | −4.69993e13 | − | 3.41470e13i | −2.35198 | − | 1.70882i | ||||
\(263\) | 1.92709e13 | 0.944377 | 0.472188 | − | 0.881498i | \(-0.343464\pi\) | ||||
0.472188 | + | 0.881498i | \(0.343464\pi\) | |||||||
\(264\) | 2.91984e12 | − | 2.79938e12i | 0.140132 | − | 0.134351i | ||||
\(265\) | 4.06622e13 | 1.91134 | ||||||||
\(266\) | 4.72782e13 | + | 3.43496e13i | 2.17677 | + | 1.58151i | ||||
\(267\) | −3.23040e12 | + | 9.94215e12i | −0.145695 | + | 0.448403i | ||||
\(268\) | 4.09340e12 | + | 1.25982e13i | 0.180860 | + | 0.556631i | ||||
\(269\) | −2.19095e13 | + | 1.59182e13i | −0.948407 | + | 0.689058i | −0.950430 | − | 0.310940i | \(-0.899356\pi\) |
0.00202221 | + | 0.999998i | \(0.499356\pi\) | |||||||
\(270\) | −2.64090e13 | + | 1.91873e13i | −1.12009 | + | 0.813790i | ||||
\(271\) | −3.80981e12 | − | 1.17254e13i | −0.158333 | − | 0.487300i | 0.840150 | − | 0.542354i | \(-0.182467\pi\) |
−0.998483 | + | 0.0550540i | \(0.982467\pi\) | |||||||
\(272\) | −1.03618e10 | + | 3.18902e10i | −0.000421992 | + | 0.00129876i | ||||
\(273\) | −4.11362e12 | − | 2.98872e12i | −0.164183 | − | 0.119286i | ||||
\(274\) | 1.37245e13 | 0.536869 | ||||||||
\(275\) | −2.85369e13 | − | 1.53056e13i | −1.09415 | − | 0.586841i | ||||
\(276\) | 7.17445e11 | 0.0269643 | ||||||||
\(277\) | −3.39770e13 | − | 2.46857e13i | −1.25183 | − | 0.909509i | −0.253505 | − | 0.967334i | \(-0.581583\pi\) |
−0.998327 | + | 0.0578253i | \(0.981583\pi\) | |||||||
\(278\) | −2.64972e12 | + | 8.15501e12i | −0.0957093 | + | 0.294563i | ||||
\(279\) | 1.91297e12 | + | 5.88753e12i | 0.0677464 | + | 0.208502i | ||||
\(280\) | 3.62804e13 | − | 2.63593e13i | 1.25980 | − | 0.915301i | ||||
\(281\) | 3.58235e13 | − | 2.60273e13i | 1.21979 | − | 0.886226i | 0.223703 | − | 0.974657i | \(-0.428185\pi\) |
0.996082 | + | 0.0884314i | \(0.0281854\pi\) | |||||||
\(282\) | −4.77017e12 | − | 1.46811e13i | −0.159281 | − | 0.490217i | ||||
\(283\) | 1.61276e13 | − | 4.96355e13i | 0.528133 | − | 1.62543i | −0.229903 | − | 0.973214i | \(-0.573841\pi\) |
0.758036 | − | 0.652213i | \(-0.226159\pi\) | |||||||
\(284\) | 5.77068e12 | + | 4.19264e12i | 0.185343 | + | 0.134660i | ||||
\(285\) | 1.54091e13 | 0.485435 | ||||||||
\(286\) | −1.90808e13 | + | 2.61150e12i | −0.589635 | + | 0.0807007i | ||||
\(287\) | −5.24156e13 | −1.58895 | ||||||||
\(288\) | 3.19296e13 | + | 2.31982e13i | 0.949587 | + | 0.689915i | ||||
\(289\) | −1.05905e13 | + | 3.25942e13i | −0.309014 | + | 0.951047i | ||||
\(290\) | −4.51531e13 | − | 1.38967e14i | −1.29270 | − | 3.97853i | ||||
\(291\) | 6.82093e12 | − | 4.95570e12i | 0.191616 | − | 0.139217i | ||||
\(292\) | 2.68863e13 | − | 1.95341e13i | 0.741183 | − | 0.538501i | ||||
\(293\) | 8.05570e12 | + | 2.47929e13i | 0.217937 | + | 0.670742i | 0.998932 | + | 0.0462042i | \(0.0147125\pi\) |
−0.780995 | + | 0.624537i | \(0.785288\pi\) | |||||||
\(294\) | −1.03572e13 | + | 3.18762e13i | −0.274999 | + | 0.846361i | ||||
\(295\) | 7.71752e13 | + | 5.60711e13i | 2.01121 | + | 1.46123i | ||||
\(296\) | −3.81984e12 | −0.0977105 | ||||||||
\(297\) | −1.03457e13 | − | 2.14075e13i | −0.259777 | − | 0.537534i | ||||
\(298\) | 9.20419e12 | 0.226880 | ||||||||
\(299\) | −7.88392e11 | − | 5.72800e11i | −0.0190788 | − | 0.0138616i | ||||
\(300\) | 7.09425e12 | − | 2.18339e13i | 0.168554 | − | 0.518756i | ||||
\(301\) | 9.42008e12 | + | 2.89920e13i | 0.219755 | + | 0.676337i | ||||
\(302\) | −4.48309e13 | + | 3.25715e13i | −1.02693 | + | 0.746105i | ||||
\(303\) | −7.17412e12 | + | 5.21230e12i | −0.161374 | + | 0.117245i | ||||
\(304\) | −6.37760e12 | − | 1.96282e13i | −0.140881 | − | 0.433587i | ||||
\(305\) | −2.43894e13 | + | 7.50628e13i | −0.529117 | + | 1.62846i | ||||
\(306\) | −1.63974e11 | − | 1.19134e11i | −0.00349388 | − | 0.00253845i | ||||
\(307\) | 2.10622e13 | 0.440800 | 0.220400 | − | 0.975410i | \(-0.429264\pi\) | ||||
0.220400 | + | 0.975410i | \(0.429264\pi\) | |||||||
\(308\) | 4.98190e13 | + | 1.03086e14i | 1.02416 | + | 2.11919i | ||||
\(309\) | 1.44864e13 | 0.292543 | ||||||||
\(310\) | −2.30004e13 | − | 1.67108e13i | −0.456295 | − | 0.331518i | ||||
\(311\) | −9.02705e12 | + | 2.77824e13i | −0.175940 | + | 0.541486i | −0.999675 | − | 0.0254878i | \(-0.991886\pi\) |
0.823736 | + | 0.566974i | \(0.191886\pi\) | |||||||
\(312\) | −1.20368e12 | − | 3.70455e12i | −0.0230495 | − | 0.0709390i | ||||
\(313\) | 1.08369e13 | − | 7.87346e12i | 0.203897 | − | 0.148140i | −0.481151 | − | 0.876638i | \(-0.659781\pi\) |
0.685048 | + | 0.728498i | \(0.259781\pi\) | |||||||
\(314\) | 4.55894e13 | − | 3.31226e13i | 0.842850 | − | 0.612367i | ||||
\(315\) | −3.86165e13 | − | 1.18849e14i | −0.701560 | − | 2.15918i | ||||
\(316\) | 3.32379e12 | − | 1.02296e13i | 0.0593409 | − | 0.182632i | ||||
\(317\) | −5.45619e13 | − | 3.96415e13i | −0.957333 | − | 0.695543i | −0.00480344 | − | 0.999988i | \(-0.501529\pi\) |
−0.952530 | + | 0.304445i | \(0.901529\pi\) | |||||||
\(318\) | −3.60039e13 | −0.620869 | ||||||||
\(319\) | 1.05445e14 | − | 1.44318e13i | 1.78722 | − | 0.244609i | ||||
\(320\) | −1.41577e14 | −2.35868 | ||||||||
\(321\) | −2.23924e13 | − | 1.62690e13i | −0.366710 | − | 0.266430i | ||||
\(322\) | −3.06980e12 | + | 9.44787e12i | −0.0494200 | + | 0.152099i | ||||
\(323\) | 6.23643e10 | + | 1.91938e11i | 0.000987012 | + | 0.00303771i | ||||
\(324\) | −5.19397e13 | + | 3.77364e13i | −0.808168 | + | 0.587168i | ||||
\(325\) | −2.52277e13 | + | 1.83290e13i | −0.385939 | + | 0.280401i | ||||
\(326\) | 5.74400e13 | + | 1.76782e14i | 0.864008 | + | 2.65914i | ||||
\(327\) | 5.06523e12 | − | 1.55892e13i | 0.0749181 | − | 0.230574i | ||||
\(328\) | −3.24848e13 | − | 2.36016e13i | −0.472470 | − | 0.343270i | ||||
\(329\) | 1.24652e14 | 1.78288 | ||||||||
\(330\) | 4.56187e13 | + | 2.44673e13i | 0.641676 | + | 0.344159i | ||||
\(331\) | 8.16378e12 | 0.112937 | 0.0564687 | − | 0.998404i | \(-0.482016\pi\) | ||||
0.0564687 | + | 0.998404i | \(0.482016\pi\) | |||||||
\(332\) | −8.93646e13 | − | 6.49272e13i | −1.21592 | − | 0.883419i | ||||
\(333\) | −3.28930e12 | + | 1.01234e13i | −0.0440210 | + | 0.135483i | ||||
\(334\) | 1.23577e13 | + | 3.80330e13i | 0.162679 | + | 0.500674i | ||||
\(335\) | −3.91267e13 | + | 2.84272e13i | −0.506671 | + | 0.368118i | ||||
\(336\) | 1.48094e13 | − | 1.07597e13i | 0.188657 | − | 0.137067i | ||||
\(337\) | −1.03598e13 | − | 3.18843e13i | −0.129834 | − | 0.399587i | 0.864917 | − | 0.501915i | \(-0.167371\pi\) |
−0.994751 | + | 0.102328i | \(0.967371\pi\) | |||||||
\(338\) | 3.30890e13 | − | 1.01838e14i | 0.407983 | − | 1.25564i | ||||
\(339\) | −1.62358e13 | − | 1.17960e13i | −0.196959 | − | 0.143099i | ||||
\(340\) | 5.42848e11 | 0.00647954 | ||||||||
\(341\) | 1.49475e13 | − | 1.43309e13i | 0.175558 | − | 0.168315i | ||||
\(342\) | 1.24750e14 | 1.44178 | ||||||||
\(343\) | −9.92987e13 | − | 7.21447e13i | −1.12934 | − | 0.820516i | ||||
\(344\) | −7.21635e12 | + | 2.22096e13i | −0.0807693 | + | 0.248582i | ||||
\(345\) | 8.09439e11 | + | 2.49120e12i | 0.00891619 | + | 0.0274412i | ||||
\(346\) | 3.88952e13 | − | 2.82590e13i | 0.421675 | − | 0.306365i | ||||
\(347\) | −6.13784e13 | + | 4.45940e13i | −0.654943 | + | 0.475844i | −0.864951 | − | 0.501856i | \(-0.832651\pi\) |
0.210009 | + | 0.977700i | \(0.432651\pi\) | |||||||
\(348\) | 2.33160e13 | + | 7.17594e13i | 0.244889 | + | 0.753690i | ||||
\(349\) | −2.35813e13 | + | 7.25757e13i | −0.243796 | + | 0.750328i | 0.752036 | + | 0.659122i | \(0.229072\pi\) |
−0.995832 | + | 0.0912056i | \(0.970928\pi\) | |||||||
\(350\) | 2.57170e14 | + | 1.86845e14i | 2.61726 | + | 1.90155i | ||||
\(351\) | −2.28959e13 | −0.229387 | ||||||||
\(352\) | 2.33936e13 | − | 1.29930e14i | 0.230734 | − | 1.28152i | ||||
\(353\) | 9.00381e10 | 0.000874310 | 0.000437155 | − | 1.00000i | \(-0.499861\pi\) | ||||
0.000437155 | 1.00000i | \(0.499861\pi\) | ||||||||
\(354\) | −6.83338e13 | − | 4.96474e13i | −0.653307 | − | 0.474656i | ||||
\(355\) | −8.04757e12 | + | 2.47679e13i | −0.0757546 | + | 0.233149i | ||||
\(356\) | −7.00456e13 | − | 2.15578e14i | −0.649241 | − | 1.99816i | ||||
\(357\) | −1.44816e11 | + | 1.05215e11i | −0.00132173 | + | 0.000960292i | ||||
\(358\) | −3.90072e13 | + | 2.83404e13i | −0.350581 | + | 0.254712i | ||||
\(359\) | 4.89251e12 | + | 1.50576e13i | 0.0433024 | + | 0.133271i | 0.970370 | − | 0.241622i | \(-0.0776794\pi\) |
−0.927068 | + | 0.374893i | \(0.877679\pi\) | |||||||
\(360\) | 2.95825e13 | − | 9.10457e13i | 0.257853 | − | 0.793589i | ||||
\(361\) | −6.25032e12 | − | 4.54113e12i | −0.0536553 | − | 0.0389829i | ||||
\(362\) | −1.20950e14 | −1.02261 | ||||||||
\(363\) | −2.34270e13 | + | 2.95435e13i | −0.195088 | + | 0.246023i | ||||
\(364\) | 1.10253e14 | 0.904343 | ||||||||
\(365\) | 9.81622e13 | + | 7.13190e13i | 0.793110 | + | 0.576228i | ||||
\(366\) | 2.15953e13 | − | 6.64634e13i | 0.171875 | − | 0.528977i | ||||
\(367\) | −2.93522e13 | − | 9.03367e13i | −0.230132 | − | 0.708273i | −0.997730 | − | 0.0673417i | \(-0.978548\pi\) |
0.767598 | − | 0.640932i | \(-0.221452\pi\) | |||||||
\(368\) | 2.83829e12 | − | 2.06214e12i | 0.0219227 | − | 0.0159278i | ||||
\(369\) | −9.05225e13 | + | 6.57684e13i | −0.688829 | + | 0.500464i | ||||
\(370\) | −1.51062e13 | − | 4.64920e13i | −0.113252 | − | 0.348553i | ||||
\(371\) | 8.98421e13 | − | 2.76505e14i | 0.663626 | − | 2.04243i | ||||
\(372\) | 1.18769e13 | + | 8.62905e12i | 0.0864402 | + | 0.0628025i | ||||
\(373\) | −2.60450e13 | −0.186778 | −0.0933890 | − | 0.995630i | \(-0.529770\pi\) | ||||
−0.0933890 | + | 0.995630i | \(0.529770\pi\) | |||||||
\(374\) | −1.20138e11 | + | 6.67256e11i | −0.000848957 | + | 0.00471519i | ||||
\(375\) | 1.63094e13 | 0.113571 | ||||||||
\(376\) | 7.72539e13 | + | 5.61283e13i | 0.530136 | + | 0.385167i | ||||
\(377\) | 3.16702e13 | − | 9.74709e13i | 0.214177 | − | 0.659170i | ||||
\(378\) | 7.21245e13 | + | 2.21976e14i | 0.480704 | + | 1.47946i | ||||
\(379\) | −1.61821e14 | + | 1.17570e14i | −1.06296 | + | 0.772289i | −0.974635 | − | 0.223802i | \(-0.928153\pi\) |
−0.0883301 | + | 0.996091i | \(0.528153\pi\) | |||||||
\(380\) | −2.70309e14 | + | 1.96391e14i | −1.75005 | + | 1.27148i | ||||
\(381\) | 7.11310e12 | + | 2.18919e13i | 0.0453912 | + | 0.139700i | ||||
\(382\) | 1.99944e13 | − | 6.15364e13i | 0.125765 | − | 0.387065i | ||||
\(383\) | −1.14386e14 | − | 8.31060e13i | −0.709215 | − | 0.515275i | 0.173705 | − | 0.984798i | \(-0.444426\pi\) |
−0.882920 | + | 0.469523i | \(0.844426\pi\) | |||||||
\(384\) | 5.84645e13 | 0.357331 | ||||||||
\(385\) | −3.01740e14 | + | 2.89292e14i | −1.81802 | + | 1.74302i | ||||
\(386\) | 9.93790e13 | 0.590289 | ||||||||
\(387\) | 5.26464e13 | + | 3.82498e13i | 0.308289 | + | 0.223985i | ||||
\(388\) | −5.64928e13 | + | 1.73867e14i | −0.326151 | + | 1.00379i | ||||
\(389\) | 5.57050e13 | + | 1.71442e14i | 0.317082 | + | 0.975877i | 0.974889 | + | 0.222691i | \(0.0714841\pi\) |
−0.657807 | + | 0.753186i | \(0.728516\pi\) | |||||||
\(390\) | 4.03286e13 | − | 2.93005e13i | 0.226338 | − | 0.164444i | ||||
\(391\) | −2.77546e10 | + | 2.01649e10i | −0.000153590 | + | 0.000111590i | ||||
\(392\) | −6.40698e13 | − | 1.97187e14i | −0.349607 | − | 1.07598i | ||||
\(393\) | −3.38451e13 | + | 1.04165e14i | −0.182111 | + | 0.560482i | ||||
\(394\) | 2.37961e14 | + | 1.72889e14i | 1.26263 | + | 0.917354i | ||||
\(395\) | 3.92703e13 | 0.205485 | ||||||||
\(396\) | 2.15385e14 | + | 1.15521e14i | 1.11146 | + | 0.596123i | ||||
\(397\) | 2.69626e14 | 1.37219 | 0.686094 | − | 0.727512i | \(-0.259324\pi\) | ||||
0.686094 | + | 0.727512i | \(0.259324\pi\) | |||||||
\(398\) | 7.39094e13 | + | 5.36983e13i | 0.370973 | + | 0.269528i | ||||
\(399\) | 3.40460e13 | − | 1.04783e14i | 0.168545 | − | 0.518727i | ||||
\(400\) | −3.46910e13 | − | 1.06768e14i | −0.169390 | − | 0.521328i | ||||
\(401\) | −1.51699e13 | + | 1.10215e13i | −0.0730613 | + | 0.0530822i | −0.623716 | − | 0.781651i | \(-0.714378\pi\) |
0.550655 | + | 0.834733i | \(0.314378\pi\) | |||||||
\(402\) | 3.46442e13 | − | 2.51705e13i | 0.164584 | − | 0.119577i | ||||
\(403\) | −6.16202e12 | − | 1.89647e13i | −0.0288765 | − | 0.0888728i | ||||
\(404\) | 5.94180e13 | − | 1.82870e14i | 0.274676 | − | 0.845365i | ||||
\(405\) | −1.89632e14 | − | 1.37776e14i | −0.864788 | − | 0.628305i | ||||
\(406\) | −1.04475e15 | −4.70022 | ||||||||
\(407\) | 3.52771e13 | − | 4.82822e12i | 0.156576 | − | 0.0214298i | ||||
\(408\) | −1.37127e11 | −0.000600471 | ||||||||
\(409\) | 1.71659e14 | + | 1.24718e14i | 0.741632 | + | 0.538827i | 0.893222 | − | 0.449616i | \(-0.148439\pi\) |
−0.151590 | + | 0.988443i | \(0.548439\pi\) | |||||||
\(410\) | 1.58793e14 | − | 4.88715e14i | 0.676894 | − | 2.08327i | ||||
\(411\) | −7.99574e12 | − | 2.46084e13i | −0.0336302 | − | 0.103503i | ||||
\(412\) | −2.54122e14 | + | 1.84631e14i | −1.05465 | + | 0.766248i | ||||
\(413\) | 5.51803e14 | − | 4.00908e14i | 2.25974 | − | 1.64180i | ||||
\(414\) | 6.55313e12 | + | 2.01685e13i | 0.0264818 | + | 0.0815025i | ||||
\(415\) | 1.24624e14 | − | 3.83554e14i | 0.496980 | − | 1.52955i | ||||
\(416\) | −1.02851e14 | − | 7.47254e13i | −0.404756 | − | 0.294073i | ||||
\(417\) | 1.61658e13 | 0.0627841 | ||||||||
\(418\) | −1.81577e14 | − | 3.75720e14i | −0.695970 | − | 1.44011i | ||||
\(419\) | 1.80147e14 | 0.681474 | 0.340737 | − | 0.940159i | \(-0.389324\pi\) | ||||
0.340737 | + | 0.940159i | \(0.389324\pi\) | |||||||
\(420\) | −2.39754e14 | − | 1.74191e14i | −0.895148 | − | 0.650363i | ||||
\(421\) | −1.27114e14 | + | 3.91217e14i | −0.468428 | + | 1.44167i | 0.386192 | + | 0.922419i | \(0.373790\pi\) |
−0.854620 | + | 0.519254i | \(0.826210\pi\) | |||||||
\(422\) | 1.73363e14 | + | 5.33557e14i | 0.630577 | + | 1.94072i | ||||
\(423\) | 2.15276e14 | − | 1.56407e14i | 0.772902 | − | 0.561546i | ||||
\(424\) | 1.80185e14 | − | 1.30912e14i | 0.638566 | − | 0.463945i | ||||
\(425\) | 3.39231e11 | + | 1.04405e12i | 0.00118674 | + | 0.00365242i | ||||
\(426\) | 7.12562e12 | − | 2.19304e13i | 0.0246076 | − | 0.0757345i | ||||
\(427\) | 4.56544e14 | + | 3.31698e14i | 1.55643 | + | 1.13081i | ||||
\(428\) | 6.00160e14 | 2.01988 | ||||||||
\(429\) | 1.57988e13 | + | 3.26909e13i | 0.0524938 | + | 0.108621i | ||||
\(430\) | −2.98856e14 | −0.980359 | ||||||||
\(431\) | −2.25313e14 | − | 1.63699e14i | −0.729727 | − | 0.530178i | 0.159750 | − | 0.987157i | \(-0.448931\pi\) |
−0.889477 | + | 0.456980i | \(0.848931\pi\) | |||||||
\(432\) | 2.54715e13 | − | 7.83931e13i | 0.0814505 | − | 0.250679i | ||||
\(433\) | −1.09714e12 | − | 3.37665e12i | −0.00346400 | − | 0.0106611i | 0.949310 | − | 0.314343i | \(-0.101784\pi\) |
−0.952774 | + | 0.303682i | \(0.901784\pi\) | |||||||
\(434\) | −1.64453e14 | + | 1.19482e14i | −0.512681 | + | 0.372485i | ||||
\(435\) | −2.22866e14 | + | 1.61921e14i | −0.686044 | + | 0.498440i | ||||
\(436\) | 1.09831e14 | + | 3.38024e14i | 0.333848 | + | 1.02748i | ||||
\(437\) | 6.52506e12 | − | 2.00821e13i | 0.0195856 | − | 0.0602782i | ||||
\(438\) | −8.69165e13 | − | 6.31485e13i | −0.257629 | − | 0.187178i | ||||
\(439\) | −1.21317e13 | −0.0355114 | −0.0177557 | − | 0.999842i | \(-0.505652\pi\) | ||||
−0.0177557 | + | 0.999842i | \(0.505652\pi\) | |||||||
\(440\) | −3.17267e14 | + | 4.34229e13i | −0.917139 | + | 0.125525i | ||||
\(441\) | −5.77759e14 | −1.64943 | ||||||||
\(442\) | 5.28189e11 | + | 3.83752e11i | 0.00148925 | + | 0.00108200i | ||||
\(443\) | −1.12977e14 | + | 3.47707e14i | −0.314608 | + | 0.968263i | 0.661308 | + | 0.750114i | \(0.270002\pi\) |
−0.975916 | + | 0.218148i | \(0.929998\pi\) | |||||||
\(444\) | 7.80048e12 | + | 2.40074e13i | 0.0214543 | + | 0.0660297i | ||||
\(445\) | 6.69529e14 | − | 4.86441e14i | 1.81882 | − | 1.32145i | ||||
\(446\) | −6.96178e14 | + | 5.05803e14i | −1.86801 | + | 1.35719i | ||||
\(447\) | −5.36226e12 | − | 1.65033e13i | −0.0142120 | − | 0.0437402i | ||||
\(448\) | −3.12811e14 | + | 9.62734e14i | −0.818942 | + | 2.52045i | ||||
\(449\) | −5.41345e14 | − | 3.93310e14i | −1.39997 | − | 1.01714i | −0.994687 | − | 0.102949i | \(-0.967172\pi\) |
−0.405286 | − | 0.914190i | \(-0.632828\pi\) | |||||||
\(450\) | 6.78581e14 | 1.73354 | ||||||||
\(451\) | 3.29837e14 | + | 1.76906e14i | 0.832393 | + | 0.446449i | ||||
\(452\) | 4.35152e14 | 1.08487 | ||||||||
\(453\) | 8.45196e13 | + | 6.14071e13i | 0.208170 | + | 0.151244i | ||||
\(454\) | 1.35893e14 | − | 4.18237e14i | 0.330667 | − | 1.01769i | ||||
\(455\) | 1.24390e14 | + | 3.82834e14i | 0.299036 | + | 0.920339i | ||||
\(456\) | 6.82817e13 | − | 4.96095e13i | 0.162180 | − | 0.117831i | ||||
\(457\) | −2.33578e14 | + | 1.69704e14i | −0.548141 | + | 0.398248i | −0.827100 | − | 0.562055i | \(-0.810011\pi\) |
0.278959 | + | 0.960303i | \(0.410011\pi\) | |||||||
\(458\) | −2.05531e14 | − | 6.32559e14i | −0.476559 | − | 1.46670i | ||||
\(459\) | −2.49077e11 | + | 7.66580e11i | −0.000570642 | + | 0.00175625i | ||||
\(460\) | −4.59498e13 | − | 3.33845e13i | −0.104020 | − | 0.0755748i | ||||
\(461\) | 1.45782e14 | 0.326099 | 0.163050 | − | 0.986618i | \(-0.447867\pi\) | ||||
0.163050 | + | 0.986618i | \(0.447867\pi\) | |||||||
\(462\) | 2.67172e14 | − | 2.56150e14i | 0.590555 | − | 0.566191i | ||||
\(463\) | −4.61510e14 | −1.00806 | −0.504029 | − | 0.863687i | \(-0.668150\pi\) | ||||
−0.504029 | + | 0.863687i | \(0.668150\pi\) | |||||||
\(464\) | 2.98497e14 | + | 2.16871e14i | 0.644305 | + | 0.468115i | ||||
\(465\) | −1.65630e13 | + | 5.09758e13i | −0.0353304 | + | 0.108736i | ||||
\(466\) | −4.14411e14 | − | 1.27543e15i | −0.873592 | − | 2.68864i | ||||
\(467\) | −2.92559e13 | + | 2.12557e13i | −0.0609496 | + | 0.0442825i | −0.617843 | − | 0.786302i | \(-0.711993\pi\) |
0.556893 | + | 0.830584i | \(0.311993\pi\) | |||||||
\(468\) | 1.90409e14 | − | 1.38340e14i | 0.392044 | − | 0.284837i | ||||
\(469\) | 1.06857e14 | + | 3.28872e14i | 0.217447 | + | 0.669232i | ||||
\(470\) | −3.77635e14 | + | 1.16224e15i | −0.759510 | + | 2.33753i | ||||
\(471\) | −8.59496e13 | − | 6.24460e13i | −0.170855 | − | 0.124134i | ||||
\(472\) | 5.22503e14 | 1.02662 | ||||||||
\(473\) | 3.85720e13 | − | 2.14232e14i | 0.0749093 | − | 0.416053i | ||||
\(474\) | −3.47713e13 | −0.0667484 | ||||||||
\(475\) | −5.46632e14 | − | 3.97151e14i | −1.03724 | − | 0.753601i | ||||
\(476\) | 1.19941e12 | − | 3.69140e12i | 0.00224972 | − | 0.00692393i | ||||
\(477\) | −1.91787e14 | − | 5.90259e14i | −0.355604 | − | 1.09444i | ||||
\(478\) | 1.10121e14 | − | 8.00076e13i | 0.201844 | − | 0.146649i | ||||
\(479\) | −1.82724e14 | + | 1.32757e14i | −0.331093 | + | 0.240553i | −0.740894 | − | 0.671622i | \(-0.765598\pi\) |
0.409801 | + | 0.912175i | \(0.365598\pi\) | |||||||
\(480\) | 1.05596e14 | + | 3.24992e14i | 0.189157 | + | 0.582165i | ||||
\(481\) | 1.05954e13 | − | 3.26093e13i | 0.0187637 | − | 0.0577489i | ||||
\(482\) | −9.44548e13 | − | 6.86254e13i | −0.165373 | − | 0.120151i | ||||
\(483\) | 1.87287e13 | 0.0324189 | ||||||||
\(484\) | 3.44244e13 | − | 8.16835e14i | 0.0589137 | − | 1.39793i | ||||
\(485\) | −6.67457e14 | −1.12939 | ||||||||
\(486\) | 6.15078e14 | + | 4.46880e14i | 1.02904 | + | 0.747638i | ||||
\(487\) | −2.01644e14 | + | 6.20595e14i | −0.333561 | + | 1.02660i | 0.633865 | + | 0.773443i | \(0.281467\pi\) |
−0.967427 | + | 0.253152i | \(0.918533\pi\) | |||||||
\(488\) | 1.33589e14 | + | 4.11144e14i | 0.218505 | + | 0.672489i | ||||
\(489\) | 2.83511e14 | − | 2.05983e14i | 0.458534 | − | 0.333144i | ||||
\(490\) | 2.14662e15 | − | 1.55961e15i | 3.43302 | − | 2.49424i | ||||
\(491\) | 1.85390e14 | + | 5.70570e14i | 0.293182 | + | 0.902321i | 0.983826 | + | 0.179126i | \(0.0573271\pi\) |
−0.690644 | + | 0.723195i | \(0.742673\pi\) | |||||||
\(492\) | −8.19972e13 | + | 2.52361e14i | −0.128230 | + | 0.394653i | ||||
\(493\) | −2.91890e12 | − | 2.12071e12i | −0.00451400 | − | 0.00327961i | ||||
\(494\) | −4.01843e14 | −0.614551 | ||||||||
\(495\) | −1.58121e14 | + | 8.78220e14i | −0.239145 | + | 1.32823i | ||||
\(496\) | 7.17885e13 | 0.107376 | ||||||||
\(497\) | 1.50642e14 | + | 1.09448e14i | 0.222836 | + | 0.161900i | ||||
\(498\) | −1.10347e14 | + | 3.39613e14i | −0.161436 | + | 0.496848i | ||||
\(499\) | −1.16725e14 | − | 3.59243e14i | −0.168893 | − | 0.519799i | 0.830409 | − | 0.557154i | \(-0.188107\pi\) |
−0.999302 | + | 0.0373549i | \(0.988107\pi\) | |||||||
\(500\) | −2.86102e14 | + | 2.07865e14i | −0.409436 | + | 0.297473i | ||||
\(501\) | 6.09947e13 | − | 4.43152e13i | 0.0863345 | − | 0.0627257i | ||||
\(502\) | −3.12270e13 | − | 9.61067e13i | −0.0437179 | − | 0.134550i | ||||
\(503\) | 1.03240e14 | − | 3.17741e14i | 0.142964 | − | 0.439996i | −0.853780 | − | 0.520634i | \(-0.825696\pi\) |
0.996743 | + | 0.0806376i | \(0.0256956\pi\) | |||||||
\(504\) | −5.53754e14 | − | 4.02326e14i | −0.758488 | − | 0.551074i | ||||
\(505\) | 7.02018e14 | 0.951143 | ||||||||
\(506\) | 5.12046e13 | − | 4.90921e13i | 0.0686248 | − | 0.0657937i | ||||
\(507\) | −2.01875e14 | −0.267632 | ||||||||
\(508\) | −4.03793e14 | − | 2.93373e14i | −0.529552 | − | 0.384742i | ||||
\(509\) | −1.57308e14 | + | 4.84143e14i | −0.204081 | + | 0.628096i | 0.795669 | + | 0.605732i | \(0.207119\pi\) |
−0.999750 | + | 0.0223646i | \(0.992881\pi\) | |||||||
\(510\) | −5.42290e11 | − | 1.66900e12i | −0.000695978 | − | 0.00214200i | ||||
\(511\) | 7.01860e14 | − | 5.09931e14i | 0.891119 | − | 0.647436i | ||||
\(512\) | 5.46087e14 | − | 3.96756e14i | 0.685926 | − | 0.498354i | ||||
\(513\) | −1.53305e14 | − | 4.71825e14i | −0.190507 | − | 0.586321i | ||||
\(514\) | −4.80760e14 | + | 1.47963e15i | −0.591060 | + | 1.81909i | ||||
\(515\) | −9.27803e14 | − | 6.74089e14i | −1.12854 | − | 0.819931i | ||||
\(516\) | 1.54322e14 | 0.185719 | ||||||||
\(517\) | −7.84403e14 | − | 4.20710e14i | −0.933988 | − | 0.500939i | ||||
\(518\) | −3.49525e14 | −0.411779 | ||||||||
\(519\) | −7.33291e13 | − | 5.32767e13i | −0.0854784 | − | 0.0621037i | ||||
\(520\) | −9.52904e13 | + | 2.93274e14i | −0.109908 | + | 0.338263i | ||||
\(521\) | −7.43365e13 | − | 2.28784e14i | −0.0848388 | − | 0.261107i | 0.899634 | − | 0.436645i | \(-0.143833\pi\) |
−0.984473 | + | 0.175538i | \(0.943833\pi\) | |||||||
\(522\) | −1.80430e15 | + | 1.31090e15i | −2.03761 | + | 1.48041i | ||||
\(523\) | 8.06537e14 | − | 5.85984e14i | 0.901291 | − | 0.654826i | −0.0375062 | − | 0.999296i | \(-0.511941\pi\) |
0.938797 | + | 0.344470i | \(0.111941\pi\) | |||||||
\(524\) | −7.33873e14 | − | 2.25863e15i | −0.811519 | − | 2.49760i | ||||
\(525\) | 1.85193e14 | − | 5.69967e14i | 0.202651 | − | 0.623697i | ||||
\(526\) | 1.09284e15 | + | 7.93992e14i | 1.18340 | + | 0.859794i | ||||
\(527\) | −7.01995e11 | −0.000752273 | ||||||||
\(528\) | −1.29506e14 | + | 1.77249e13i | −0.137342 | + | 0.0187974i | ||||
\(529\) | −9.49220e14 | −0.996233 | ||||||||
\(530\) | 2.30592e15 | + | 1.67535e15i | 2.39512 | + | 1.74016i | ||||
\(531\) | 4.49932e14 | − | 1.38475e15i | 0.462517 | − | 1.42348i | ||||
\(532\) | 7.38228e14 | + | 2.27203e15i | 0.751064 | + | 2.31154i | ||||
\(533\) | 2.91588e14 | − | 2.11851e14i | 0.293610 | − | 0.213320i | ||||
\(534\) | −5.92825e14 | + | 4.30713e14i | −0.590813 | + | 0.429251i | ||||
\(535\) | 6.77115e14 | + | 2.08394e15i | 0.667908 | + | 2.05561i | ||||
\(536\) | −8.18590e13 | + | 2.51936e14i | −0.0799209 | + | 0.245971i | ||||
\(537\) | 7.35402e13 | + | 5.34301e13i | 0.0710667 | + | 0.0516330i | ||||
\(538\) | −1.89832e15 | −1.81580 | ||||||||
\(539\) | 8.40939e14 | + | 1.74008e15i | 0.796208 | + | 1.64752i | ||||
\(540\) | −1.33444e15 | −1.25064 | ||||||||
\(541\) | 2.95336e14 | + | 2.14574e14i | 0.273988 | + | 0.199064i | 0.716291 | − | 0.697802i | \(-0.245838\pi\) |
−0.442303 | + | 0.896866i | \(0.645838\pi\) | |||||||
\(542\) | 2.67054e14 | − | 8.21908e14i | 0.245247 | − | 0.754791i | ||||
\(543\) | 7.04642e13 | + | 2.16867e14i | 0.0640574 | + | 0.197148i | ||||
\(544\) | −3.62077e12 | + | 2.63064e12i | −0.00325842 | + | 0.00236738i | ||||
\(545\) | −1.04981e15 | + | 7.62734e14i | −0.935258 | + | 0.679505i | ||||
\(546\) | −1.10140e14 | − | 3.38975e14i | −0.0971370 | − | 0.298957i | ||||
\(547\) | −1.38744e14 | + | 4.27009e14i | −0.121139 | + | 0.372826i | −0.993178 | − | 0.116610i | \(-0.962797\pi\) |
0.872039 | + | 0.489436i | \(0.162797\pi\) | |||||||
\(548\) | 4.53899e14 | + | 3.29777e14i | 0.392343 | + | 0.285054i | ||||
\(549\) | 1.20466e15 | 1.03090 | ||||||||
\(550\) | −9.87688e14 | − | 2.04373e15i | −0.836807 | − | 1.73153i | ||||
\(551\) | 2.22068e15 | 1.86274 | ||||||||
\(552\) | 1.16072e13 | + | 8.43314e12i | 0.00963970 | + | 0.00700365i | ||||
\(553\) | 8.67665e13 | − | 2.67040e14i | 0.0713451 | − | 0.219578i | ||||
\(554\) | −9.09714e14 | − | 2.79981e15i | −0.740630 | − | 2.27942i | ||||
\(555\) | −7.45607e13 | + | 5.41715e13i | −0.0601033 | + | 0.0436676i | ||||
\(556\) | −2.83583e14 | + | 2.06035e14i | −0.226344 | + | 0.164449i | ||||
\(557\) | −5.62104e14 | − | 1.72998e15i | −0.444236 | − | 1.36722i | −0.883320 | − | 0.468771i | \(-0.844697\pi\) |
0.439084 | − | 0.898446i | \(-0.355303\pi\) | |||||||
\(558\) | −1.34093e14 | + | 4.12694e14i | −0.104934 | + | 0.322954i | ||||
\(559\) | −1.69583e14 | − | 1.23209e14i | −0.131407 | − | 0.0954725i | ||||
\(560\) | −1.44917e15 | −1.11195 | ||||||||
\(561\) | 1.26640e12 | − | 1.73326e11i | 0.000962220 | − | 0.000131695i | ||||
\(562\) | 3.10389e15 | 2.33537 | ||||||||
\(563\) | −1.07389e15 | − | 7.80229e14i | −0.800138 | − | 0.581334i | 0.110817 | − | 0.993841i | \(-0.464653\pi\) |
−0.910955 | + | 0.412507i | \(0.864653\pi\) | |||||||
\(564\) | 1.95002e14 | − | 6.00154e14i | 0.143881 | − | 0.442821i | ||||
\(565\) | 4.90949e14 | + | 1.51098e15i | 0.358732 | + | 1.10406i | ||||
\(566\) | 2.95964e15 | − | 2.15031e15i | 2.14165 | − | 1.55600i | ||||
\(567\) | −1.35587e15 | + | 9.85098e14i | −0.971654 | + | 0.705948i | ||||
\(568\) | 4.40792e13 | + | 1.35662e14i | 0.0312837 | + | 0.0962813i | ||||
\(569\) | 7.65758e13 | − | 2.35676e14i | 0.0538237 | − | 0.165652i | −0.920531 | − | 0.390669i | \(-0.872244\pi\) |
0.974355 | + | 0.225017i | \(0.0722437\pi\) | |||||||
\(570\) | 8.73837e14 | + | 6.34880e14i | 0.608302 | + | 0.441957i | ||||
\(571\) | 6.01690e14 | 0.414834 | 0.207417 | − | 0.978253i | \(-0.433494\pi\) | ||||
0.207417 | + | 0.978253i | \(0.433494\pi\) | |||||||
\(572\) | −6.93793e14 | − | 3.72112e14i | −0.473753 | − | 0.254094i | ||||
\(573\) | −1.21985e14 | −0.0825003 | ||||||||
\(574\) | −2.97244e15 | − | 2.15960e15i | −1.99112 | − | 1.44663i | ||||
\(575\) | 3.54931e13 | − | 1.09237e14i | 0.0235489 | − | 0.0724761i | ||||
\(576\) | 6.67761e14 | + | 2.05516e15i | 0.438831 | + | 1.35058i | ||||
\(577\) | 1.99302e15 | − | 1.44801e15i | 1.29731 | − | 0.942553i | 0.297387 | − | 0.954757i | \(-0.403885\pi\) |
0.999926 | + | 0.0122041i | \(0.00388477\pi\) | |||||||
\(578\) | −1.94351e15 | + | 1.41204e15i | −1.25309 | + | 0.910427i | ||||
\(579\) | −5.78971e13 | − | 1.78189e14i | −0.0369764 | − | 0.113802i | ||||
\(580\) | 1.84583e15 | − | 5.68089e15i | 1.16772 | − | 3.59387i | ||||
\(581\) | −2.33284e15 | − | 1.69491e15i | −1.46189 | − | 1.06213i | ||||
\(582\) | 5.90992e14 | 0.366864 | ||||||||
\(583\) | −1.49858e15 | + | 1.43675e15i | −0.921514 | + | 0.883496i | ||||
\(584\) | 6.64593e14 | 0.404842 | ||||||||
\(585\) | 6.95185e14 | + | 5.05081e14i | 0.419511 | + | 0.304792i | ||||
\(586\) | −5.64675e14 | + | 1.73789e15i | −0.337568 | + | 1.03893i | ||||
\(587\) | 4.57764e14 | + | 1.40885e15i | 0.271101 | + | 0.834364i | 0.990225 | + | 0.139482i | \(0.0445436\pi\) |
−0.719123 | + | 0.694883i | \(0.755456\pi\) | |||||||
\(588\) | −1.10847e15 | + | 8.05347e14i | −0.650349 | + | 0.472506i | ||||
\(589\) | 3.49555e14 | − | 2.53967e14i | 0.203180 | − | 0.147619i | ||||
\(590\) | 2.06632e15 | + | 6.35948e15i | 1.18990 | + | 3.66215i | ||||
\(591\) | 1.71360e14 | − | 5.27392e14i | 0.0977640 | − | 0.300887i | ||||
\(592\) | 9.98635e13 | + | 7.25551e13i | 0.0564466 | + | 0.0410108i | ||||
\(593\) | −1.51878e15 | −0.850541 | −0.425271 | − | 0.905066i | \(-0.639821\pi\) | ||||
−0.425271 | + | 0.905066i | \(0.639821\pi\) | |||||||
\(594\) | 2.95325e14 | − | 1.64026e15i | 0.163861 | − | 0.910098i | ||||
\(595\) | 1.41709e13 | 0.00779030 | ||||||||
\(596\) | 3.04402e14 | + | 2.21161e14i | 0.165803 | + | 0.120463i | ||||
\(597\) | 5.32236e13 | − | 1.63805e14i | 0.0287240 | − | 0.0884035i | ||||
\(598\) | −2.11087e13 | − | 6.49660e13i | −0.0112877 | − | 0.0347400i | ||||
\(599\) | −1.14189e15 | + | 8.29628e14i | −0.605027 | + | 0.439578i | −0.847660 | − | 0.530540i | \(-0.821989\pi\) |
0.242633 | + | 0.970118i | \(0.421989\pi\) | |||||||
\(600\) | 3.71419e14 | − | 2.69851e14i | 0.194999 | − | 0.141675i | ||||
\(601\) | 2.96218e14 | + | 9.11664e14i | 0.154099 | + | 0.474269i | 0.998069 | − | 0.0621224i | \(-0.0197869\pi\) |
−0.843969 | + | 0.536392i | \(0.819787\pi\) | |||||||
\(602\) | −6.60313e14 | + | 2.03224e15i | −0.340384 | + | 1.04759i | ||||
\(603\) | 5.97197e14 | + | 4.33889e14i | 0.305051 | + | 0.221632i | ||||
\(604\) | −2.26529e15 | −1.14662 | ||||||||
\(605\) | 2.87515e15 | − | 8.02041e14i | 1.44213 | − | 0.402292i | ||||
\(606\) | −6.21593e14 | −0.308963 | ||||||||
\(607\) | 7.40019e14 | + | 5.37655e14i | 0.364506 | + | 0.264829i | 0.754929 | − | 0.655806i | \(-0.227671\pi\) |
−0.390423 | + | 0.920636i | \(0.627671\pi\) | |||||||
\(608\) | 8.51234e14 | − | 2.61983e15i | 0.415508 | − | 1.27880i | ||||
\(609\) | 6.08659e14 | + | 1.87326e15i | 0.294428 | + | 0.906156i | ||||
\(610\) | −4.47581e15 | + | 3.25187e15i | −2.14564 | + | 1.55890i | ||||
\(611\) | −6.93442e14 | + | 5.03815e14i | −0.329445 | + | 0.239356i | ||||
\(612\) | −2.56039e12 | − | 7.88006e12i | −0.00120551 | − | 0.00371019i | ||||
\(613\) | 1.04494e15 | − | 3.21598e15i | 0.487592 | − | 1.50065i | −0.340599 | − | 0.940209i | \(-0.610630\pi\) |
0.828191 | − | 0.560446i | \(-0.189370\pi\) | |||||||
\(614\) | 1.19442e15 | + | 8.67795e14i | 0.552370 | + | 0.401320i | ||||
\(615\) | −9.68790e14 | −0.444034 | ||||||||
\(616\) | −4.05715e14 | + | 2.25338e15i | −0.184301 | + | 1.02362i | ||||
\(617\) | −4.66281e14 | −0.209932 | −0.104966 | − | 0.994476i | \(-0.533473\pi\) | ||||
−0.104966 | + | 0.994476i | \(0.533473\pi\) | |||||||
\(618\) | 8.21512e14 | + | 5.96863e14i | 0.366587 | + | 0.266341i | ||||
\(619\) | −1.26425e15 | + | 3.89095e15i | −0.559156 | + | 1.72091i | 0.125551 | + | 0.992087i | \(0.459930\pi\) |
−0.684707 | + | 0.728818i | \(0.740070\pi\) | |||||||
\(620\) | −3.59141e14 | − | 1.10532e15i | −0.157438 | − | 0.484545i | ||||
\(621\) | 6.82271e13 | − | 4.95699e13i | 0.0296451 | − | 0.0215384i | ||||
\(622\) | −1.65660e15 | + | 1.20359e15i | −0.713459 | + | 0.518359i | ||||
\(623\) | −1.82852e15 | − | 5.62761e15i | −0.780577 | − | 2.40237i | ||||
\(624\) | −3.88969e13 | + | 1.19712e14i | −0.0164589 | + | 0.0506552i | ||||
\(625\) | 1.35028e15 | + | 9.81033e14i | 0.566347 | + | 0.411475i | ||||
\(626\) | 9.38949e14 | 0.390376 | ||||||||
\(627\) | −5.67891e14 | + | 5.44462e14i | −0.234042 | + | 0.224386i | ||||
\(628\) | 2.30362e15 | 0.941093 | ||||||||
\(629\) | −9.76531e11 | − | 7.09491e11i | −0.000395464 | − | 0.000287322i | ||||
\(630\) | 2.70687e15 | − | 8.33090e15i | 1.08666 | − | 3.34441i | ||||
\(631\) | −7.84348e14 | − | 2.41397e15i | −0.312138 | − | 0.960663i | −0.976916 | − | 0.213622i | \(-0.931474\pi\) |
0.664778 | − | 0.747041i | \(-0.268526\pi\) | |||||||
\(632\) | 1.74016e14 | − | 1.26430e14i | 0.0686509 | − | 0.0498778i | ||||
\(633\) | 8.55681e14 | − | 6.21689e14i | 0.334651 | − | 0.243138i | ||||
\(634\) | −1.46086e15 | − | 4.49607e15i | −0.566394 | − | 1.74318i | ||||
\(635\) | 5.63114e14 | − | 1.73309e15i | 0.216442 | − | 0.666139i | ||||
\(636\) | −1.19072e15 | − | 8.65112e14i | −0.453730 | − | 0.329654i | ||||
\(637\) | 1.86106e15 | 0.703062 | ||||||||
\(638\) | 6.57432e15 | + | 3.52609e15i | 2.46228 | + | 1.32063i | ||||
\(639\) | 3.97491e14 | 0.147595 | ||||||||
\(640\) | −3.74444e15 | − | 2.72050e15i | −1.37847 | − | 1.00152i | ||||
\(641\) | −1.52416e15 | + | 4.69088e15i | −0.556303 | + | 1.71212i | 0.136176 | + | 0.990685i | \(0.456519\pi\) |
−0.692478 | + | 0.721439i | \(0.743481\pi\) | |||||||
\(642\) | −5.99543e14 | − | 1.84520e15i | −0.216959 | − | 0.667731i | ||||
\(643\) | −1.64169e14 | + | 1.19276e14i | −0.0589021 | + | 0.0427949i | −0.616847 | − | 0.787083i | \(-0.711590\pi\) |
0.557945 | + | 0.829878i | \(0.311590\pi\) | |||||||
\(644\) | −3.28541e14 | + | 2.38699e14i | −0.116874 | + | 0.0849139i | ||||
\(645\) | 1.74110e14 | + | 5.35856e14i | 0.0614109 | + | 0.189003i | ||||
\(646\) | −4.37151e12 | + | 1.34541e13i | −0.00152881 | + | 0.00470519i | ||||
\(647\) | 7.35292e14 | + | 5.34221e14i | 0.254969 | + | 0.185245i | 0.707926 | − | 0.706287i | \(-0.249631\pi\) |
−0.452957 | + | 0.891532i | \(0.649631\pi\) | |||||||
\(648\) | −1.28388e15 | −0.441429 | ||||||||
\(649\) | −4.82544e15 | + | 6.60436e14i | −1.64509 | + | 0.225157i | ||||
\(650\) | −2.18583e15 | −0.738911 | ||||||||
\(651\) | 3.10043e14 | + | 2.25259e14i | 0.103926 | + | 0.0755069i | ||||
\(652\) | −2.34811e15 | + | 7.22675e15i | −0.780472 | + | 2.40205i | ||||
\(653\) | −5.11985e14 | − | 1.57573e15i | −0.168746 | − | 0.519348i | 0.830546 | − | 0.556949i | \(-0.188028\pi\) |
−0.999293 | + | 0.0376013i | \(0.988028\pi\) | |||||||
\(654\) | 9.29544e14 | − | 6.75353e14i | 0.303803 | − | 0.220726i | ||||
\(655\) | 7.01470e15 | − | 5.09648e15i | 2.27343 | − | 1.65175i | ||||
\(656\) | 4.00968e14 | + | 1.23405e15i | 0.128866 | + | 0.396609i | ||||
\(657\) | 5.72287e14 | − | 1.76132e15i | 0.182391 | − | 0.561343i | ||||
\(658\) | 7.06892e15 | + | 5.13587e15i | 2.23414 | + | 1.62320i | ||||
\(659\) | 5.29486e15 | 1.65953 | 0.829764 | − | 0.558114i | \(-0.188475\pi\) | ||||
0.829764 | + | 0.558114i | \(0.188475\pi\) | |||||||
\(660\) | 9.20799e14 | + | 1.90533e15i | 0.286202 | + | 0.592212i | ||||
\(661\) | 9.37068e13 | 0.0288844 | 0.0144422 | − | 0.999896i | \(-0.495403\pi\) | ||||
0.0144422 | + | 0.999896i | \(0.495403\pi\) | |||||||
\(662\) | 4.62961e14 | + | 3.36361e14i | 0.141523 | + | 0.102822i | ||||
\(663\) | 3.80360e11 | − | 1.17063e12i | 0.000115311 | − | 0.000354890i | ||||
\(664\) | −6.82609e14 | − | 2.10085e15i | −0.205233 | − | 0.631643i | ||||
\(665\) | −7.05633e15 | + | 5.12672e15i | −2.10407 | + | 1.52870i | ||||
\(666\) | −6.03635e14 | + | 4.38566e14i | −0.178511 | + | 0.129696i | ||||
\(667\) | 1.16652e14 | + | 3.59018e14i | 0.0342137 | + | 0.105299i | ||||
\(668\) | −5.05174e14 | + | 1.55477e15i | −0.146950 | + | 0.452267i | ||||
\(669\) | 1.31250e15 | + | 9.53589e14i | 0.378666 | + | 0.275117i | ||||
\(670\) | −3.39008e15 | −0.970061 | ||||||||
\(671\) | −1.75340e15 | − | 3.62815e15i | −0.497631 | − | 1.02970i | ||||
\(672\) | 2.44328e15 | 0.687767 | ||||||||
\(673\) | −5.35474e15 | − | 3.89044e15i | −1.49505 | − | 1.08622i | −0.972302 | − | 0.233729i | \(-0.924907\pi\) |
−0.522747 | − | 0.852488i | \(-0.675093\pi\) | |||||||
\(674\) | 7.26186e14 | − | 2.23497e15i | 0.201103 | − | 0.618931i | ||||
\(675\) | −8.33905e14 | − | 2.56650e15i | −0.229058 | − | 0.704969i | ||||
\(676\) | 3.54131e15 | − | 2.57291e15i | 0.964845 | − | 0.701001i | ||||
\(677\) | −2.07594e15 | + | 1.50826e15i | −0.561019 | + | 0.407604i | −0.831832 | − | 0.555028i | \(-0.812708\pi\) |
0.270812 | + | 0.962632i | \(0.412708\pi\) | |||||||
\(678\) | −4.34704e14 | − | 1.33788e15i | −0.116528 | − | 0.358637i | ||||
\(679\) | −1.47473e15 | + | 4.53875e15i | −0.392128 | + | 1.20685i | ||||
\(680\) | 8.78250e12 | + | 6.38086e12i | 0.00231643 | + | 0.00168298i | ||||
\(681\) | −8.29079e14 | −0.216914 | ||||||||
\(682\) | 1.43812e15 | − | 1.96828e14i | 0.373233 | − | 0.0510827i | ||||
\(683\) | −7.92015e14 | −0.203901 | −0.101951 | − | 0.994789i | \(-0.532508\pi\) | ||||
−0.101951 | + | 0.994789i | \(0.532508\pi\) | |||||||
\(684\) | 4.12577e15 | + | 2.99754e15i | 1.05365 | + | 0.765521i | ||||
\(685\) | −6.32990e14 | + | 1.94814e15i | −0.160361 | + | 0.493540i | ||||
\(686\) | −2.65866e15 | − | 8.18253e15i | −0.668161 | − | 2.05639i | ||||
\(687\) | −1.01445e15 | + | 7.37044e14i | −0.252913 | + | 0.183752i | ||||
\(688\) | 6.10515e14 | − | 4.43565e14i | 0.150994 | − | 0.109704i | ||||
\(689\) | 6.17777e14 | + | 1.90132e15i | 0.151575 | + | 0.466499i | ||||
\(690\) | −5.67387e13 | + | 1.74624e14i | −0.0138105 | + | 0.0425044i | ||||
\(691\) | −4.34978e15 | − | 3.16030e15i | −1.05036 | − | 0.763130i | −0.0780782 | − | 0.996947i | \(-0.524878\pi\) |
−0.972281 | + | 0.233817i | \(0.924878\pi\) | |||||||
\(692\) | 1.96537e15 | 0.470826 | ||||||||
\(693\) | 5.62258e15 | + | 3.01564e15i | 1.33630 | + | 0.716714i | ||||
\(694\) | −5.31806e15 | −1.25394 | ||||||||
\(695\) | −1.03537e15 | − | 7.52237e14i | −0.242202 | − | 0.175970i | ||||
\(696\) | −4.66269e14 | + | 1.43503e15i | −0.108215 | + | 0.333050i | ||||
\(697\) | −3.92092e12 | − | 1.20674e13i | −0.000902834 | − | 0.00277864i | ||||
\(698\) | −4.32751e15 | + | 3.14412e15i | −0.988628 | + | 0.718280i | ||||
\(699\) | −2.04544e15 | + | 1.48610e15i | −0.463620 | + | 0.336840i | ||||
\(700\) | 4.01560e15 | + | 1.23587e16i | 0.903048 | + | 2.77930i | ||||
\(701\) | −1.57100e15 | + | 4.83503e15i | −0.350531 | + | 1.07882i | 0.608025 | + | 0.793918i | \(0.291962\pi\) |
−0.958556 | + | 0.284905i | \(0.908038\pi\) | |||||||
\(702\) | −1.29841e15 | − | 9.43347e14i | −0.287446 | − | 0.208842i | ||||
\(703\) | 7.42938e14 | 0.163192 | ||||||||
\(704\) | 5.21773e15 | − | 5.00247e15i | 1.13719 | − | 1.09027i | ||||
\(705\) | 2.30393e15 | 0.498229 | ||||||||
\(706\) | 5.10598e12 | + | 3.70971e12i | 0.00109560 | + | 0.000796003i | ||||
\(707\) | 1.55109e15 | − | 4.77376e15i | 0.330240 | − | 1.01638i | ||||
\(708\) | −1.06700e15 | − | 3.28389e15i | −0.225415 | − | 0.693755i | ||||
\(709\) | 3.77486e15 | − | 2.74260e15i | 0.791310 | − | 0.574921i | −0.117042 | − | 0.993127i | \(-0.537341\pi\) |
0.908352 | + | 0.418206i | \(0.137341\pi\) | |||||||
\(710\) | −1.47685e15 | + | 1.07299e15i | −0.307195 | + | 0.223190i | ||||
\(711\) | −1.85221e14 | − | 5.70052e14i | −0.0382303 | − | 0.117661i | ||||
\(712\) | 1.40076e15 | − | 4.31109e15i | 0.286895 | − | 0.882972i | ||||
\(713\) | 5.94209e13 | + | 4.31718e13i | 0.0120767 | + | 0.00877421i | ||||
\(714\) | −1.25474e13 | −0.00253055 | ||||||||
\(715\) | 5.09336e14 | − | 2.82890e15i | 0.101934 | − | 0.566153i | ||||
\(716\) | −1.97102e15 | −0.391444 | ||||||||
\(717\) | −2.07611e14 | − | 1.50838e14i | −0.0409162 | − | 0.0297273i | ||||
\(718\) | −3.42947e14 | + | 1.05548e15i | −0.0670722 | + | 0.206427i | ||||
\(719\) | 2.43568e15 | + | 7.49626e15i | 0.472729 | + | 1.45491i | 0.848996 | + | 0.528399i | \(0.177207\pi\) |
−0.376268 | + | 0.926511i | \(0.622793\pi\) | |||||||
\(720\) | −2.50273e15 | + | 1.81834e15i | −0.482043 | + | 0.350225i | ||||
\(721\) | −6.63379e15 | + | 4.81973e15i | −1.26800 | + | 0.921253i | ||||
\(722\) | −1.67349e14 | − | 5.15047e14i | −0.0317445 | − | 0.0976994i | ||||
\(723\) | −6.80188e13 | + | 2.09340e14i | −0.0128047 | + | 0.0394087i | ||||
\(724\) | −4.00008e15 | − | 2.90623e15i | −0.747319 | − | 0.542959i | ||||
\(725\) | 1.20794e16 | 2.23968 | ||||||||
\(726\) | −2.54576e15 | + | 7.10157e14i | −0.468454 | + | 0.130678i | ||||
\(727\) | −1.33561e15 | −0.243916 | −0.121958 | − | 0.992535i | \(-0.538917\pi\) | ||||
−0.121958 | + | 0.992535i | \(0.538917\pi\) | |||||||
\(728\) | 1.78374e15 | + | 1.29596e15i | 0.323302 | + | 0.234892i | ||||
\(729\) | −7.83542e14 | + | 2.41150e15i | −0.140949 | + | 0.433795i | ||||
\(730\) | 2.62824e15 | + | 8.08888e15i | 0.469233 | + | 1.44415i | ||||
\(731\) | −5.97002e12 | + | 4.33747e12i | −0.00105786 | + | 0.000768584i | ||||
\(732\) | 2.31121e15 | − | 1.67919e15i | 0.406469 | − | 0.295317i | ||||
\(733\) | −1.07883e15 | − | 3.32031e15i | −0.188314 | − | 0.579571i | 0.811676 | − | 0.584109i | \(-0.198556\pi\) |
−0.999990 | + | 0.00453719i | \(0.998556\pi\) | |||||||
\(734\) | 2.05748e15 | − | 6.33227e15i | 0.356457 | − | 1.09706i | ||||
\(735\) | −4.04702e15 | − | 2.94033e15i | −0.695913 | − | 0.505610i | ||||
\(736\) | 4.68264e14 | 0.0799214 | ||||||||
\(737\) | 4.37544e14 | − | 2.43016e15i | 0.0741225 | − | 0.411683i | ||||
\(738\) | −7.84322e15 | −1.31882 | ||||||||
\(739\) | −4.99647e15 | − | 3.63015e15i | −0.833909 | − | 0.605871i | 0.0867533 | − | 0.996230i | \(-0.472351\pi\) |
−0.920663 | + | 0.390359i | \(0.872351\pi\) | |||||||
\(740\) | 6.17531e14 | − | 1.90057e15i | 0.102302 | − | 0.314854i | ||||
\(741\) | 2.34109e14 | + | 7.20514e14i | 0.0384962 | + | 0.118479i | ||||
\(742\) | 1.64873e16 | − | 1.19787e16i | 2.69109 | − | 1.95519i | ||||
\(743\) | 4.46906e15 | − | 3.24696e15i | 0.724065 | − | 0.526064i | −0.163615 | − | 0.986524i | \(-0.552316\pi\) |
0.887680 | + | 0.460460i | \(0.152316\pi\) | |||||||
\(744\) | 9.07212e13 | + | 2.79211e14i | 0.0145901 | + | 0.0449037i | ||||
\(745\) | −4.24508e14 | + | 1.30650e15i | −0.0677682 | + | 0.208569i | ||||
\(746\) | −1.47699e15 | − | 1.07310e15i | −0.234053 | − | 0.170049i | ||||
\(747\) | −6.15553e15 | −0.968283 | ||||||||
\(748\) | −2.00063e13 | + | 1.91809e13i | −0.00312397 | + | 0.00299509i | ||||
\(749\) | 1.56670e16 | 2.42849 | ||||||||
\(750\) | 9.24893e14 | + | 6.71974e14i | 0.142316 | + | 0.103399i | ||||
\(751\) | 6.11046e14 | − | 1.88061e15i | 0.0933371 | − | 0.287262i | −0.893480 | − | 0.449104i | \(-0.851743\pi\) |
0.986817 | + | 0.161842i | \(0.0517433\pi\) | |||||||
\(752\) | −9.53562e14 | − | 2.93476e15i | −0.144594 | − | 0.445015i | ||||
\(753\) | −1.54129e14 | + | 1.11981e14i | −0.0232013 | + | 0.0168567i | ||||
\(754\) | 5.81195e15 | − | 4.22263e15i | 0.868519 | − | 0.631016i | ||||
\(755\) | −2.55576e15 | − | 7.86581e15i | −0.379150 | − | 1.16690i | ||||
\(756\) | −2.94841e15 | + | 9.07427e15i | −0.434228 | + | 1.33642i | ||||
\(757\) | 7.76942e15 | + | 5.64481e15i | 1.13595 | + | 0.825320i | 0.986551 | − | 0.163457i | \(-0.0522644\pi\) |
0.149404 | + | 0.988776i | \(0.452264\pi\) | |||||||
\(758\) | −1.40208e16 | −2.03513 | ||||||||
\(759\) | −1.17855e14 | − | 6.32107e13i | −0.0169831 | − | 0.00910879i | ||||
\(760\) | −6.68166e15 | −0.955893 | ||||||||
\(761\) | −1.02546e15 | − | 7.45043e14i | −0.145648 | − | 0.105820i | 0.512575 | − | 0.858642i | \(-0.328692\pi\) |
−0.658223 | + | 0.752823i | \(0.728692\pi\) | |||||||
\(762\) | −4.98602e14 | + | 1.53454e15i | −0.0703076 | + | 0.216384i | ||||
\(763\) | 2.86710e15 | + | 8.82403e15i | 0.401382 | + | 1.23533i | ||||
\(764\) | 2.13987e15 | − | 1.55471e15i | 0.297423 | − | 0.216091i | ||||
\(765\) | 2.44734e13 | − | 1.77809e13i | 0.00337719 | − | 0.00245367i | ||||
\(766\) | −3.06261e15 | − | 9.42574e15i | −0.419598 | − | 1.29139i | ||||
\(767\) | −1.44931e15 | + | 4.46051e15i | −0.197145 | + | 0.606751i | ||||
\(768\) | 3.52387e14 | + | 2.56024e14i | 0.0475919 | + | 0.0345776i | ||||
\(769\) | −5.20428e15 | −0.697855 | −0.348928 | − | 0.937150i | \(-0.613454\pi\) | ||||
−0.348928 | + | 0.937150i | \(0.613454\pi\) | |||||||
\(770\) | −2.90307e16 | + | 3.97330e15i | −3.86508 | + | 0.528996i | ||||
\(771\) | 2.93310e15 | 0.387728 | ||||||||
\(772\) | 3.28668e15 | + | 2.38791e15i | 0.431382 | + | 0.313417i | ||||
\(773\) | 3.79163e15 | − | 1.16694e16i | 0.494127 | − | 1.52077i | −0.324185 | − | 0.945994i | \(-0.605090\pi\) |
0.818312 | − | 0.574774i | \(-0.194910\pi\) | |||||||
\(774\) | 1.40958e15 | + | 4.33823e15i | 0.182395 | + | 0.561355i | ||||
\(775\) | 1.90141e15 | − | 1.38145e15i | 0.244296 | − | 0.177491i | ||||
\(776\) | −2.95767e15 | + | 2.14888e15i | −0.377321 | + | 0.274140i | ||||
\(777\) | 2.03629e14 | + | 6.26707e14i | 0.0257944 | + | 0.0793869i | ||||
\(778\) | −3.90472e15 | + | 1.20175e16i | −0.491136 | + | 1.51156i | ||||
\(779\) | 6.31812e15 | + | 4.59038e15i | 0.789099 | + | 0.573314i | ||||
\(780\) | 2.03779e15 | 0.252720 | ||||||||
\(781\) | −5.78556e14 | − | 1.19715e15i | −0.0712467 | − | 0.147424i | ||||
\(782\) | −2.40477e12 | −0.000294060 | ||||||||
\(783\) | 7.17531e15 | + | 5.21316e15i | 0.871266 | + | 0.633012i | ||||
\(784\) | −2.07041e15 | + | 6.37208e15i | −0.249643 | + | 0.768321i | ||||
\(785\) | 2.59900e15 | + | 7.99889e15i | 0.311188 | + | 0.957738i | ||||
\(786\) | −6.21108e15 | + | 4.51261e15i | −0.738487 | + | 0.536542i | ||||
\(787\) | 1.75250e14 | − | 1.27327e14i | 0.0206918 | − | 0.0150334i | −0.577391 | − | 0.816468i | \(-0.695929\pi\) |
0.598083 | + | 0.801434i | \(0.295929\pi\) | |||||||
\(788\) | 3.71565e15 | + | 1.14356e16i | 0.435653 | + | 1.34080i | ||||
\(789\) | 7.86973e14 | − | 2.42205e15i | 0.0916297 | − | 0.282007i | ||||
\(790\) | 2.22698e15 | + | 1.61800e15i | 0.257494 | + | 0.187081i | ||||
\(791\) | 1.13595e16 | 1.30434 | ||||||||
\(792\) | 2.12675e15 | + | 4.40069e15i | 0.242509 | + | 0.501801i | ||||
\(793\) | −3.88041e15 | −0.439415 | ||||||||
\(794\) | 1.52903e16 | + | 1.11090e16i | 1.71950 | + | 1.24929i | ||||
\(795\) | 1.66054e15 | − | 5.11061e15i | 0.185451 | − | 0.570760i | ||||
\(796\) | 1.15406e15 | + | 3.55184e15i | 0.127999 | + | 0.393941i | ||||
\(797\) | −6.29681e15 | + | 4.57490e15i | −0.693586 | + | 0.503920i | −0.877837 | − | 0.478960i | \(-0.841014\pi\) |
0.184251 | + | 0.982879i | \(0.441014\pi\) | |||||||
\(798\) | 6.24794e15 | − | 4.53939e15i | 0.683472 | − | 0.496572i | ||||
\(799\) | 9.32456e12 | + | 2.86980e13i | 0.00101303 | + | 0.00311778i | ||||
\(800\) | 4.63029e15 | − | 1.42506e16i | 0.499590 | − | 1.53758i | ||||
\(801\) | −1.02191e16 | − | 7.42463e15i | −1.09505 | − | 0.795602i | ||||
\(802\) | −1.31438e15 | −0.139882 | ||||||||
\(803\) | −6.13767e15 | + | 8.40034e14i | −0.648736 | + | 0.0887895i | ||||
\(804\) | 1.75056e15 | 0.183768 | ||||||||
\(805\) | −1.19951e15 | − | 8.71494e14i | −0.125062 | − | 0.0908629i | ||||
\(806\) | 4.31935e14 | − | 1.32936e15i | 0.0447276 | − | 0.137657i | ||||
\(807\) | 1.10594e15 | + | 3.40374e15i | 0.113744 | + | 0.350068i | ||||
\(808\) | 3.11082e15 | − | 2.26014e15i | 0.317770 | − | 0.230873i | ||||
\(809\) | −6.75996e15 | + | 4.91140e15i | −0.685847 | + | 0.498297i | −0.875292 | − | 0.483594i | \(-0.839331\pi\) |
0.189445 | + | 0.981891i | \(0.439331\pi\) | |||||||
\(810\) | −5.07729e15 | − | 1.56263e16i | −0.511640 | − | 1.57467i | ||||
\(811\) | 3.94533e15 | − | 1.21425e16i | 0.394883 | − | 1.21532i | −0.534170 | − | 0.845377i | \(-0.679376\pi\) |
0.929053 | − | 0.369947i | \(-0.120624\pi\) | |||||||
\(812\) | −3.45521e16 | − | 2.51035e16i | −3.43491 | − | 2.49561i | ||||
\(813\) | −1.62928e15 | −0.160879 | ||||||||
\(814\) | 2.19947e15 | + | 1.17967e15i | 0.215716 | + | 0.115698i | ||||
\(815\) | −2.77428e16 | −2.70261 | ||||||||
\(816\) | 3.58496e12 | + | 2.60462e12i | 0.000346887 | + | 0.000252028i | ||||
\(817\) | 1.40354e15 | − | 4.31965e15i | 0.134897 | − | 0.415171i | ||||
\(818\) | 4.59607e15 | + | 1.41453e16i | 0.438777 | + | 1.35042i | ||||
\(819\) | 4.97057e15 | − | 3.61133e15i | 0.471352 | − | 0.342457i | ||||
\(820\) | 1.69946e16 | − | 1.23473e16i | 1.60079 | − | 1.16305i | ||||
\(821\) | 1.89169e15 | + | 5.82202e15i | 0.176995 | + | 0.544736i | 0.999719 | − | 0.0237058i | \(-0.00754650\pi\) |
−0.822724 | + | 0.568442i | \(0.807547\pi\) | |||||||
\(822\) | 5.60472e14 | − | 1.72496e15i | 0.0520906 | − | 0.160318i | ||||
\(823\) | −1.83740e15 | − | 1.33495e15i | −0.169631 | − | 0.123244i | 0.499731 | − | 0.866181i | \(-0.333432\pi\) |
−0.669362 | + | 0.742937i | \(0.733432\pi\) | |||||||
\(824\) | −6.28156e15 | −0.576060 | ||||||||
\(825\) | −3.08905e15 | + | 2.96161e15i | −0.281403 | + | 0.269793i | ||||
\(826\) | 4.78103e16 | 4.32645 | ||||||||
\(827\) | 1.21293e16 | + | 8.81242e15i | 1.09032 | + | 0.792164i | 0.979453 | − | 0.201672i | \(-0.0646374\pi\) |
0.110867 | + | 0.993835i | \(0.464637\pi\) | |||||||
\(828\) | −2.67888e14 | + | 8.24475e14i | −0.0239214 | + | 0.0736225i | ||||
\(829\) | −5.43142e15 | − | 1.67162e16i | −0.481797 | − | 1.48282i | −0.836567 | − | 0.547864i | \(-0.815441\pi\) |
0.354771 | − | 0.934953i | \(-0.384559\pi\) | |||||||
\(830\) | 2.28704e16 | − | 1.66163e16i | 2.01532 | − | 1.46422i | ||||
\(831\) | −4.49014e15 | + | 3.26228e15i | −0.393056 | + | 0.285572i | ||||
\(832\) | −2.15097e15 | − | 6.62001e15i | −0.187049 | − | 0.575679i | ||||
\(833\) | 2.02459e13 | − | 6.23103e13i | 0.00174899 | − | 0.00538285i | ||||
\(834\) | 9.16751e14 | + | 6.66059e14i | 0.0786752 | + | 0.0571609i | ||||
\(835\) | −5.96859e15 | −0.508858 | ||||||||
\(836\) | 3.02279e15 | − | 1.67889e16i | 0.256020 | − | 1.42196i | ||||
\(837\) | 1.72566e15 | 0.145199 | ||||||||
\(838\) | 1.02160e16 | + | 7.42233e15i | 0.853959 | + | 0.620438i | ||||
\(839\) | −3.03826e15 | + | 9.35081e15i | −0.252310 | + | 0.776530i | 0.742038 | + | 0.670358i | \(0.233859\pi\) |
−0.994348 | + | 0.106172i | \(0.966141\pi\) | |||||||
\(840\) | −1.83135e15 | − | 5.63633e15i | −0.151090 | − | 0.465008i | ||||
\(841\) | −2.22478e16 | + | 1.61640e16i | −1.82351 | + | 1.32486i | ||||
\(842\) | −2.33273e16 | + | 1.69483e16i | −1.89954 | + | 1.38010i | ||||
\(843\) | −1.80829e15 | − | 5.56535e15i | −0.146291 | − | 0.450237i | ||||
\(844\) | −7.08698e15 | + | 2.18115e16i | −0.569610 | + | 1.75308i | ||||
\(845\) | 1.29294e16 | + | 9.39374e15i | 1.03244 | + | 0.750113i | ||||
\(846\) | 1.86524e16 | 1.47978 | ||||||||
\(847\) | 8.98638e14 | − | 2.13233e16i | 0.0708315 | − | 1.68072i | ||||
\(848\) | −7.19721e15 | −0.563620 | ||||||||
\(849\) | −5.57981e15 | − | 4.05397e15i | −0.434138 | − | 0.315419i | ||||
\(850\) | −2.37789e13 | + | 7.31838e13i | −0.00183818 | + | 0.00565732i | ||||
\(851\) | 3.90264e13 | + | 1.20111e14i | 0.00299741 | + | 0.00922508i | ||||
\(852\) | 7.62610e14 | − | 5.54069e14i | 0.0581949 | − | 0.0422811i | ||||
\(853\) | 1.64403e16 | − | 1.19446e16i | 1.24649 | − | 0.905629i | 0.248479 | − | 0.968637i | \(-0.420069\pi\) |
0.998013 | + | 0.0630081i | \(0.0200694\pi\) | |||||||
\(854\) | 1.22237e16 | + | 3.76207e16i | 0.920840 | + | 2.83405i | ||||
\(855\) | −5.75364e15 | + | 1.77079e16i | −0.430654 | + | 1.32542i | ||||
\(856\) | 9.70971e15 | + | 7.05452e15i | 0.722106 | + | 0.524640i | ||||
\(857\) | −1.68364e16 | −1.24410 | −0.622051 | − | 0.782977i | \(-0.713700\pi\) | ||||
−0.622051 | + | 0.782977i | \(0.713700\pi\) | |||||||
\(858\) | −4.50985e14 | + | 2.50481e15i | −0.0331117 | + | 0.183905i | ||||
\(859\) | −1.61793e16 | −1.18031 | −0.590156 | − | 0.807289i | \(-0.700934\pi\) | ||||
−0.590156 | + | 0.807289i | \(0.700934\pi\) | |||||||
\(860\) | −9.88380e15 | − | 7.18100e15i | −0.716444 | − | 0.520527i | ||||
\(861\) | −2.14051e15 | + | 6.58783e15i | −0.154170 | + | 0.474487i | ||||
\(862\) | −6.03261e15 | − | 1.85665e16i | −0.431733 | − | 1.32874i | ||||
\(863\) | 1.53692e16 | − | 1.11664e16i | 1.09293 | − | 0.794058i | 0.113036 | − | 0.993591i | \(-0.463942\pi\) |
0.979891 | + | 0.199533i | \(0.0639425\pi\) | |||||||
\(864\) | 8.90064e15 | − | 6.46670e15i | 0.628921 | − | 0.456938i | ||||
\(865\) | 2.21737e15 | + | 6.82438e15i | 0.155686 | + | 0.479153i | ||||
\(866\) | 7.69055e13 | − | 2.36691e14i | 0.00536548 | − | 0.0165133i | ||||
\(867\) | 3.66410e15 | + | 2.66212e15i | 0.254017 | + | 0.184554i | ||||
\(868\) | −8.30976e15 | −0.572440 | ||||||||
\(869\) | −1.44728e15 | + | 1.38757e15i | −0.0990701 | + | 0.0949829i | ||||
\(870\) | −1.93099e16 | −1.31348 | ||||||||
\(871\) | −1.92367e15 | − | 1.39763e15i | −0.130026 | − | 0.0944697i | ||||
\(872\) | −2.19637e15 | + | 6.75974e15i | −0.147525 | + | 0.454035i | ||||
\(873\) | 3.14812e15 | + | 9.68890e15i | 0.210122 | + | 0.646690i | ||||
\(874\) | 1.19744e15 | − | 8.69994e14i | 0.0794222 | − | 0.0577036i | ||||
\(875\) | −7.46861e15 | + | 5.42626e15i | −0.492261 | + | 0.357649i | ||||
\(876\) | −1.35716e15 | − | 4.17691e15i | −0.0888913 | − | 0.273579i | ||||
\(877\) | 2.06767e14 | − | 6.36362e14i | 0.0134581 | − | 0.0414197i | −0.944102 | − | 0.329654i | \(-0.893068\pi\) |
0.957560 | + | 0.288234i | \(0.0930681\pi\) | |||||||
\(878\) | −6.87980e14 | − | 4.99847e14i | −0.0444996 | − | 0.0323308i | ||||
\(879\) | 3.44506e15 | 0.221441 | ||||||||
\(880\) | 9.11921e15 | + | 4.89103e15i | 0.582509 | + | 0.312425i | ||||
\(881\) | 2.95022e16 | 1.87278 | 0.936391 | − | 0.350957i | \(-0.114144\pi\) | ||||
0.936391 | + | 0.350957i | \(0.114144\pi\) | |||||||
\(882\) | −3.27642e16 | − | 2.38046e16i | −2.06691 | − | 1.50170i | ||||
\(883\) | 6.01906e14 | − | 1.85248e15i | 0.0377350 | − | 0.116136i | −0.930415 | − | 0.366509i | \(-0.880553\pi\) |
0.968150 | + | 0.250372i | \(0.0805530\pi\) | |||||||
\(884\) | 8.24744e12 | + | 2.53830e13i | 0.000513844 | + | 0.00158145i | ||||
\(885\) | 1.01989e16 | − | 7.40993e15i | 0.631488 | − | 0.458803i | ||||
\(886\) | −2.07329e16 | + | 1.50633e16i | −1.27578 | + | 0.926907i | ||||
\(887\) | 4.22296e15 | + | 1.29969e16i | 0.258248 | + | 0.794806i | 0.993172 | + | 0.116657i | \(0.0372177\pi\) |
−0.734924 | + | 0.678149i | \(0.762782\pi\) | |||||||
\(888\) | −1.55992e14 | + | 4.80095e14i | −0.00948052 | + | 0.0291780i | ||||
\(889\) | −1.05409e16 | − | 7.65842e15i | −0.636676 | − | 0.462572i | ||||
\(890\) | 5.80105e16 | 3.48226 | ||||||||
\(891\) | 1.18569e16 | − | 1.62280e15i | 0.707365 | − | 0.0968139i | ||||
\(892\) | −3.51777e16 | −2.08574 | ||||||||
\(893\) | −1.50254e16 | − | 1.09166e16i | −0.885410 | − | 0.643288i | ||||
\(894\) | 3.75875e14 | − | 1.15682e15i | 0.0220134 | − | 0.0677502i | ||||
\(895\) | −2.22376e15 | − | 6.84402e15i | −0.129438 | − | 0.398368i | ||||
\(896\) | −2.67728e16 | + | 1.94516e16i | −1.54881 | + | 1.12528i | ||||
\(897\) | −1.04188e14 | + | 7.56970e13i | −0.00599045 | + | 0.00435232i | ||||
\(898\) | −1.44942e16 | − | 4.46086e16i | −0.828275 | − | 2.54917i | ||||
\(899\) | −2.38698e15 | + | 7.34636e15i | −0.135572 | + | 0.417247i | ||||
\(900\) | 2.24421e16 | + | 1.63052e16i | 1.26686 | + | 0.920431i | ||||
\(901\) | 7.03790e13 | 0.00394872 | ||||||||
\(902\) | 1.14160e16 | + | 2.36220e16i | 0.636614 | + | 1.31729i | ||||
\(903\) | 4.02854e15 | 0.223288 | ||||||||
\(904\) | 7.04013e15 | + | 5.11495e15i | 0.387841 | + | 0.281783i | ||||
\(905\) | 5.57835e15 | − | 1.71684e16i | 0.305449 | − | 0.940076i | ||||
\(906\) | 2.26296e15 | + | 6.96469e15i | 0.123161 | + | 0.379050i | ||||
\(907\) | −1.23965e16 | + | 9.00659e15i | −0.670593 | + | 0.487214i | −0.870224 | − | 0.492657i | \(-0.836026\pi\) |
0.199631 | + | 0.979871i | \(0.436026\pi\) | |||||||
\(908\) | 1.45438e16 | − | 1.05667e16i | 0.781999 | − | 0.568155i | ||||
\(909\) | −3.31113e15 | − | 1.01906e16i | −0.176960 | − | 0.544626i | ||||
\(910\) | −8.71930e15 | + | 2.68353e16i | −0.463185 | + | 1.42554i | ||||
\(911\) | 8.36320e15 | + | 6.07622e15i | 0.441592 | + | 0.320836i | 0.786267 | − | 0.617886i | \(-0.212011\pi\) |
−0.344675 | + | 0.938722i | \(0.612011\pi\) | |||||||
\(912\) | −2.72741e15 | −0.143146 | ||||||||
\(913\) | 8.95950e15 | + | 1.85391e16i | 0.467406 | + | 0.967161i | ||||
\(914\) | −2.02381e16 | −1.04946 | ||||||||
\(915\) | 8.43824e15 | + | 6.13074e15i | 0.434947 | + | 0.316007i | ||||
\(916\) | 8.40199e15 | − | 2.58587e16i | 0.430484 | − | 1.32489i | ||||
\(917\) | −1.91576e16 | − | 5.89609e16i | −0.975683 | − | 3.00284i | ||||
\(918\) | −4.57092e13 | + | 3.32097e13i | −0.00231403 | + | 0.00168124i | ||||
\(919\) | 1.26182e16 | − | 9.16768e15i | 0.634984 | − | 0.461343i | −0.223139 | − | 0.974787i | \(-0.571630\pi\) |
0.858123 | + | 0.513443i | \(0.171630\pi\) | |||||||
\(920\) | −3.50987e14 | − | 1.08023e15i | −0.0175573 | − | 0.0540358i | ||||
\(921\) | 8.60124e14 | − | 2.64719e15i | 0.0427694 | − | 0.131631i | ||||
\(922\) | 8.26719e15 | + | 6.00647e15i | 0.408637 | + | 0.296892i | ||||
\(923\) | −1.28039e15 | −0.0629117 | ||||||||
\(924\) | 1.49908e16 | − | 2.05172e15i | 0.732198 | − | 0.100213i | ||||
\(925\) | 4.04121e15 | 0.196215 | ||||||||
\(926\) | −2.61718e16 | − | 1.90150e16i | −1.26321 | − | 0.917772i | ||||
\(927\) | −5.40910e15 | + | 1.66475e16i | −0.259530 | + | 0.798750i | ||||
\(928\) | 1.52180e16 | + | 4.68361e16i | 0.725844 | + | 2.23392i | ||||
\(929\) | 1.54113e16 | − | 1.11969e16i | 0.730721 | − | 0.530900i | −0.159071 | − | 0.987267i | \(-0.550850\pi\) |
0.889791 | + | 0.456367i | \(0.150850\pi\) | |||||||
\(930\) | −3.03956e15 | + | 2.20837e15i | −0.143270 | + | 0.104092i | ||||
\(931\) | 1.24612e16 | + | 3.83516e16i | 0.583898 | + | 1.79705i | ||||
\(932\) | 1.69409e16 | − | 5.21387e16i | 0.789130 | − | 2.42869i | ||||
\(933\) | 3.12318e15 | + | 2.26912e15i | 0.144626 | + | 0.105077i | ||||
\(934\) | −2.53485e15 | −0.116693 | ||||||||
\(935\) | −8.91736e13 | − | 4.78277e13i | −0.00408106 | − | 0.00218885i | ||||
\(936\) | 4.70665e15 | 0.214138 | ||||||||
\(937\) | 2.42430e16 | + | 1.76136e16i | 1.09653 | + | 0.796673i | 0.980489 | − | 0.196572i | \(-0.0629810\pi\) |
0.116037 | + | 0.993245i | \(0.462981\pi\) | |||||||
\(938\) | −7.49030e15 | + | 2.30528e16i | −0.336809 | + | 1.03659i | ||||
\(939\) | −5.47022e14 | − | 1.68356e15i | −0.0244537 | − | 0.0752606i | ||||
\(940\) | −4.04159e16 | + | 2.93638e16i | −1.79617 | + | 1.30500i | ||||
\(941\) | 2.19394e16 | − | 1.59399e16i | 0.969350 | − | 0.704274i | 0.0140470 | − | 0.999901i | \(-0.495529\pi\) |
0.955303 | + | 0.295627i | \(0.0955285\pi\) | |||||||
\(942\) | −2.30125e15 | − | 7.08252e15i | −0.101084 | − | 0.311106i | ||||
\(943\) | −4.10238e14 | + | 1.26258e15i | −0.0179152 | + | 0.0551374i | ||||
\(944\) | −1.36600e16 | − | 9.92457e15i | −0.593068 | − | 0.430889i | ||||
\(945\) | −3.48352e16 | −1.50364 | ||||||||
\(946\) | 1.10141e16 | − | 1.05597e16i | 0.472659 | − | 0.453159i | ||||
\(947\) | 1.23713e16 | 0.527827 | 0.263914 | − | 0.964546i | \(-0.414987\pi\) | ||||
0.263914 | + | 0.964546i | \(0.414987\pi\) | |||||||
\(948\) | −1.14996e15 | − | 8.35497e14i | −0.0487796 | − | 0.0354404i | ||||
\(949\) | −1.84343e15 | + | 5.67351e15i | −0.0777434 | + | 0.239270i | ||||
\(950\) | −1.46358e16 | − | 4.50442e16i | −0.613671 | − | 1.88868i | ||||
\(951\) | −7.21049e15 | + | 5.23873e15i | −0.300588 | + | 0.218390i | ||||
\(952\) | 6.27948e13 | − | 4.56231e13i | 0.00260268 | − | 0.00189096i | ||||
\(953\) | −3.93165e15 | − | 1.21004e16i | −0.162018 | − | 0.498641i | 0.836786 | − | 0.547530i | \(-0.184432\pi\) |
−0.998804 | + | 0.0488894i | \(0.984432\pi\) | |||||||
\(954\) | 1.34435e16 | − | 4.13750e16i | 0.550805 | − | 1.69520i | ||||
\(955\) | 7.81270e15 | + | 5.67626e15i | 0.318260 | + | 0.231230i | ||||
\(956\) | 5.56439e15 | 0.225372 | ||||||||
\(957\) | 2.49225e15 | − | 1.38422e16i | 0.100364 | − | 0.557428i | ||||
\(958\) | −1.58319e16 | −0.633902 | ||||||||
\(959\) | 1.18489e16 | + | 8.60873e15i | 0.471710 | + | 0.342718i | ||||
\(960\) | −5.78165e15 | + | 1.77941e16i | −0.228855 | + | 0.704343i | ||||
\(961\) | −7.38722e15 | − | 2.27355e16i | −0.290738 | − | 0.894801i | ||||
\(962\) | 1.94441e15 | − | 1.41270e15i | 0.0760896 | − | 0.0552823i | ||||
\(963\) | 2.70572e16 | − | 1.96582e16i | 1.05278 | − | 0.764889i | ||||
\(964\) | −1.47487e15 | − | 4.53918e15i | −0.0570597 | − | 0.175612i | ||||
\(965\) | −4.58347e15 | + | 1.41065e16i | −0.176317 | + | 0.542648i | ||||
\(966\) | 1.06209e15 | + | 7.71653e14i | 0.0406244 | + | 0.0295153i | ||||
\(967\) | −3.44954e16 | −1.31194 | −0.655972 | − | 0.754785i | \(-0.727741\pi\) | ||||
−0.655972 | + | 0.754785i | \(0.727741\pi\) | |||||||
\(968\) | 1.01583e16 | − | 1.28106e16i | 0.384157 | − | 0.484456i | ||||
\(969\) | 2.66704e13 | 0.00100288 | ||||||||
\(970\) | −3.78509e16 | − | 2.75003e16i | −1.41525 | − | 1.02824i | ||||
\(971\) | −1.14204e16 | + | 3.51484e16i | −0.424596 | + | 1.30677i | 0.478784 | + | 0.877932i | \(0.341078\pi\) |
−0.903381 | + | 0.428840i | \(0.858922\pi\) | |||||||
\(972\) | 9.60416e15 | + | 2.95586e16i | 0.355054 | + | 1.09275i | ||||
\(973\) | −7.40286e15 | + | 5.37849e15i | −0.272132 | + | 0.197715i | ||||
\(974\) | −3.70046e16 | + | 2.68854e16i | −1.35264 | + | 0.982748i | ||||
\(975\) | 1.27344e15 | + | 3.91924e15i | 0.0462863 | + | 0.142455i | ||||
\(976\) | 4.31692e15 | − | 1.32861e16i | 0.156027 | − | 0.480202i | ||||
\(977\) | 9.31042e14 | + | 6.76442e14i | 0.0334618 | + | 0.0243114i | 0.604390 | − | 0.796688i | \(-0.293417\pi\) |
−0.570929 | + | 0.821000i | \(0.693417\pi\) | |||||||
\(978\) | 2.45645e16 | 0.877898 | ||||||||
\(979\) | −7.48717e15 | + | 4.15844e16i | −0.266080 | + | 1.47783i | ||||
\(980\) | 1.08468e17 | 3.83317 | ||||||||
\(981\) | 1.60235e16 | + | 1.16417e16i | 0.563090 | + | 0.409109i | ||||
\(982\) | −1.29951e16 | + | 3.99949e16i | −0.454117 | + | 1.39763i | ||||
\(983\) | −1.46816e15 | − | 4.51852e15i | −0.0510185 | − | 0.157019i | 0.922301 | − | 0.386472i | \(-0.126306\pi\) |
−0.973320 | + | 0.229453i | \(0.926306\pi\) | |||||||
\(984\) | −4.29295e15 | + | 3.11901e15i | −0.148349 | + | 0.107782i | ||||
\(985\) | −3.55159e16 | + | 2.58038e16i | −1.22046 | + | 0.886716i | ||||
\(986\) | −7.81519e13 | − | 2.40527e14i | −0.00267065 | − | 0.00821941i | ||||
\(987\) | 5.09047e15 | − | 1.56669e16i | 0.172987 | − | 0.532400i | ||||
\(988\) | −1.32898e16 | − | 9.65560e15i | −0.449112 | − | 0.326299i | ||||
\(989\) | 7.72087e14 | 0.0259470 | ||||||||
\(990\) | −4.51510e16 | + | 4.32882e16i | −1.50895 | + | 1.44669i | ||||
\(991\) | 4.78706e14 | 0.0159098 | 0.00795488 | − | 0.999968i | \(-0.497468\pi\) | ||||
0.00795488 | + | 0.999968i | \(0.497468\pi\) | |||||||
\(992\) | 7.75183e15 | + | 5.63204e15i | 0.256206 | + | 0.186145i | ||||
\(993\) | 3.33388e14 | − | 1.02606e15i | 0.0109579 | − | 0.0337250i | ||||
\(994\) | 4.03335e15 | + | 1.24134e16i | 0.131838 | + | 0.405756i | ||||
\(995\) | −1.10311e16 | + | 8.01454e15i | −0.358584 | + | 0.260526i | ||||
\(996\) | −1.18098e16 | + | 8.58029e15i | −0.381781 | + | 0.277380i | ||||
\(997\) | 1.23165e16 | + | 3.79063e16i | 0.395972 | + | 1.21868i | 0.928202 | + | 0.372076i | \(0.121354\pi\) |
−0.532230 | + | 0.846600i | \(0.678646\pi\) | |||||||
\(998\) | 8.18201e15 | − | 2.51817e16i | 0.261603 | − | 0.805130i | ||||
\(999\) | 2.40053e15 | + | 1.74409e15i | 0.0763303 | + | 0.0554572i |
(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 | 11.12.c.a.4.9 | yes | 40 | |
3.2 | odd | 2 | 99.12.f.a.37.2 | 40 | |||
11.3 | even | 5 | inner | 11.12.c.a.3.9 | ✓ | 40 | |
11.5 | even | 5 | 121.12.a.j.1.3 | 20 | |||
11.6 | odd | 10 | 121.12.a.h.1.18 | 20 | |||
33.14 | odd | 10 | 99.12.f.a.91.2 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.12.c.a.3.9 | ✓ | 40 | 11.3 | even | 5 | inner | |
11.12.c.a.4.9 | yes | 40 | 1.1 | even | 1 | trivial | |
99.12.f.a.37.2 | 40 | 3.2 | odd | 2 | |||
99.12.f.a.91.2 | 40 | 33.14 | odd | 10 | |||
121.12.a.h.1.18 | 20 | 11.6 | odd | 10 | |||
121.12.a.j.1.3 | 20 | 11.5 | even | 5 |