Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,11,Mod(7,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.7");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.d (of order \(6\), degree \(2\), 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: | \(27.3203618650\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 37.28 | ||
Character | \(\chi\) | \(=\) | 43.37 |
Dual form | 43.11.d.a.7.9 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 41.2809i | 1.29003i | 0.764170 | + | 0.645015i | \(0.223149\pi\) | ||||
−0.764170 | + | 0.645015i | \(0.776851\pi\) | |||||||
\(3\) | −198.317 | − | 114.498i | −0.816119 | − | 0.471187i | 0.0329571 | − | 0.999457i | \(-0.489508\pi\) |
−0.849076 | + | 0.528270i | \(0.822841\pi\) | |||||||
\(4\) | −680.116 | −0.664176 | ||||||||
\(5\) | 422.628 | + | 244.004i | 0.135241 | + | 0.0780814i | 0.566094 | − | 0.824341i | \(-0.308454\pi\) |
−0.430853 | + | 0.902422i | \(0.641787\pi\) | |||||||
\(6\) | 4726.60 | − | 8186.71i | 0.607845 | − | 1.05282i | ||||
\(7\) | 5421.13 | − | 3129.89i | 0.322552 | − | 0.186225i | −0.329978 | − | 0.943989i | \(-0.607041\pi\) |
0.652529 | + | 0.757763i | \(0.273708\pi\) | |||||||
\(8\) | 14195.8i | 0.433223i | ||||||||
\(9\) | −3304.75 | − | 5723.99i | −0.0559662 | − | 0.0969362i | ||||
\(10\) | −10072.7 | + | 17446.5i | −0.100727 | + | 0.174465i | ||||
\(11\) | 124127. | 0.770732 | 0.385366 | − | 0.922764i | \(-0.374075\pi\) | ||||
0.385366 | + | 0.922764i | \(0.374075\pi\) | |||||||
\(12\) | 134879. | + | 77872.2i | 0.542047 | + | 0.312951i | ||||
\(13\) | 255217. | + | 442048.i | 0.687373 | + | 1.19056i | 0.972685 | + | 0.232130i | \(0.0745694\pi\) |
−0.285312 | + | 0.958435i | \(0.592097\pi\) | |||||||
\(14\) | 129205. | + | 223789.i | 0.240236 | + | 0.416101i | ||||
\(15\) | −55876.2 | − | 96780.4i | −0.0735818 | − | 0.127447i | ||||
\(16\) | −1.28246e6 | −1.22305 | ||||||||
\(17\) | 587147. | + | 1.01697e6i | 0.413525 | + | 0.716246i | 0.995272 | − | 0.0971231i | \(-0.0309641\pi\) |
−0.581747 | + | 0.813370i | \(0.697631\pi\) | |||||||
\(18\) | 236292. | − | 136423.i | 0.125051 | − | 0.0721980i | ||||
\(19\) | −2.76163e6 | − | 1.59443e6i | −1.11532 | − | 0.643928i | −0.175115 | − | 0.984548i | \(-0.556030\pi\) |
−0.940201 | + | 0.340620i | \(0.889363\pi\) | |||||||
\(20\) | −287436. | − | 165951.i | −0.0898238 | − | 0.0518598i | ||||
\(21\) | −1.43347e6 | −0.350988 | ||||||||
\(22\) | 5.12409e6i | 0.994267i | ||||||||
\(23\) | −4.59649e6 | + | 7.96135e6i | −0.714146 | + | 1.23694i | 0.249142 | + | 0.968467i | \(0.419851\pi\) |
−0.963288 | + | 0.268470i | \(0.913482\pi\) | |||||||
\(24\) | 1.62540e6 | − | 2.81528e6i | 0.204129 | − | 0.353562i | ||||
\(25\) | −4.76374e6 | − | 8.25103e6i | −0.487807 | − | 0.844906i | ||||
\(26\) | −1.82482e7 | + | 1.05356e7i | −1.53586 | + | 0.886731i | ||||
\(27\) | 1.50356e7i | 1.04786i | ||||||||
\(28\) | −3.68700e6 | + | 2.12869e6i | −0.214231 | + | 0.123686i | ||||
\(29\) | −5.50562e6 | + | 3.17867e6i | −0.268421 | + | 0.154973i | −0.628170 | − | 0.778076i | \(-0.716196\pi\) |
0.359749 | + | 0.933049i | \(0.382862\pi\) | |||||||
\(30\) | 3.99519e6 | − | 2.30662e6i | 0.164411 | − | 0.0949227i | ||||
\(31\) | 2.72329e7 | − | 4.71687e7i | 0.951229 | − | 1.64758i | 0.208459 | − | 0.978031i | \(-0.433155\pi\) |
0.742770 | − | 0.669547i | \(-0.233512\pi\) | |||||||
\(32\) | − | 3.84045e7i | − | 1.14454i | ||||||
\(33\) | −2.46165e7 | − | 1.42124e7i | −0.629009 | − | 0.363159i | ||||
\(34\) | −4.19814e7 | + | 2.42380e7i | −0.923979 | + | 0.533460i | ||||
\(35\) | 3.05483e6 | 0.0581630 | ||||||||
\(36\) | 2.24761e6 | + | 3.89298e6i | 0.0371714 | + | 0.0643827i | ||||
\(37\) | −2.51606e7 | − | 1.45265e7i | −0.362838 | − | 0.209484i | 0.307487 | − | 0.951552i | \(-0.400512\pi\) |
−0.670325 | + | 0.742068i | \(0.733845\pi\) | |||||||
\(38\) | 6.58196e7 | − | 1.14003e8i | 0.830686 | − | 1.43879i | ||||
\(39\) | − | 1.16888e8i | − | 1.29552i | ||||||
\(40\) | −3.46385e6 | + | 5.99956e6i | −0.0338266 | + | 0.0585895i | ||||
\(41\) | −1.18223e8 | −1.02043 | −0.510214 | − | 0.860047i | \(-0.670434\pi\) | ||||
−0.510214 | + | 0.860047i | \(0.670434\pi\) | |||||||
\(42\) | − | 5.91750e7i | − | 0.452785i | ||||||
\(43\) | 7.06308e7 | + | 1.28929e8i | 0.480454 | + | 0.877020i | ||||
\(44\) | −8.44209e7 | −0.511902 | ||||||||
\(45\) | − | 3.22549e6i | − | 0.0174797i | ||||||
\(46\) | −3.28652e8 | − | 1.89747e8i | −1.59569 | − | 0.921269i | ||||
\(47\) | −1.76246e8 | −0.768474 | −0.384237 | − | 0.923234i | \(-0.625536\pi\) | ||||
−0.384237 | + | 0.923234i | \(0.625536\pi\) | |||||||
\(48\) | 2.54333e8 | + | 1.46839e8i | 0.998152 | + | 0.576283i | ||||
\(49\) | −1.21645e8 | + | 2.10696e8i | −0.430640 | + | 0.745891i | ||||
\(50\) | 3.40610e8 | − | 1.96652e8i | 1.08995 | − | 0.629285i | ||||
\(51\) | − | 2.68909e8i | − | 0.779390i | ||||||
\(52\) | −1.73577e8 | − | 3.00644e8i | −0.456536 | − | 0.790744i | ||||
\(53\) | −3.34672e8 | + | 5.79669e8i | −0.800276 | + | 1.38612i | 0.119158 | + | 0.992875i | \(0.461981\pi\) |
−0.919434 | + | 0.393244i | \(0.871353\pi\) | |||||||
\(54\) | −6.20683e8 | −1.35176 | ||||||||
\(55\) | 5.24596e7 | + | 3.02876e7i | 0.104235 | + | 0.0601798i | ||||
\(56\) | 4.44314e7 | + | 7.69575e7i | 0.0806771 | + | 0.139737i | ||||
\(57\) | 3.65119e8 | + | 6.32405e8i | 0.606821 | + | 1.05104i | ||||
\(58\) | −1.31219e8 | − | 2.27277e8i | −0.199920 | − | 0.346271i | ||||
\(59\) | −9.34391e8 | −1.30698 | −0.653489 | − | 0.756936i | \(-0.726696\pi\) | ||||
−0.653489 | + | 0.756936i | \(0.726696\pi\) | |||||||
\(60\) | 3.80023e7 | + | 6.58219e7i | 0.0488713 | + | 0.0846476i | ||||
\(61\) | −7.82016e8 | + | 4.51497e8i | −0.925906 | + | 0.534572i | −0.885514 | − | 0.464612i | \(-0.846194\pi\) |
−0.0403913 | + | 0.999184i | \(0.512860\pi\) | |||||||
\(62\) | 1.94717e9 | + | 1.12420e9i | 2.12542 | + | 1.22711i | ||||
\(63\) | −3.58309e7 | − | 2.06870e7i | −0.0361040 | − | 0.0208446i | ||||
\(64\) | 2.72137e8 | 0.253448 | ||||||||
\(65\) | 2.49096e8i | 0.214684i | ||||||||
\(66\) | 5.86700e8 | − | 1.01619e9i | 0.468485 | − | 0.811440i | ||||
\(67\) | −6.25098e8 | + | 1.08270e9i | −0.462993 | + | 0.801927i | −0.999108 | − | 0.0422175i | \(-0.986558\pi\) |
0.536116 | + | 0.844145i | \(0.319891\pi\) | |||||||
\(68\) | −3.99328e8 | − | 6.91656e8i | −0.274653 | − | 0.475714i | ||||
\(69\) | 1.82312e9 | − | 1.05258e9i | 1.16566 | − | 0.672992i | ||||
\(70\) | 1.26106e8i | 0.0750319i | ||||||||
\(71\) | 5.58578e8 | − | 3.22495e8i | 0.309594 | − | 0.178744i | −0.337151 | − | 0.941451i | \(-0.609463\pi\) |
0.646745 | + | 0.762707i | \(0.276130\pi\) | |||||||
\(72\) | 8.12568e7 | − | 4.69137e7i | 0.0419950 | − | 0.0242458i | ||||
\(73\) | 1.34157e9 | − | 7.74554e8i | 0.647139 | − | 0.373626i | −0.140220 | − | 0.990120i | \(-0.544781\pi\) |
0.787359 | + | 0.616494i | \(0.211448\pi\) | |||||||
\(74\) | 5.99667e8 | − | 1.03865e9i | 0.270241 | − | 0.468071i | ||||
\(75\) | 2.18176e9i | 0.919392i | ||||||||
\(76\) | 1.87823e9 | + | 1.08440e9i | 0.740766 | + | 0.427682i | ||||
\(77\) | 6.72909e8 | − | 3.88504e8i | 0.248601 | − | 0.143530i | ||||
\(78\) | 4.82523e9 | 1.67126 | ||||||||
\(79\) | −3.38946e8 | − | 5.87072e8i | −0.110153 | − | 0.190790i | 0.805679 | − | 0.592352i | \(-0.201801\pi\) |
−0.915832 | + | 0.401562i | \(0.868467\pi\) | |||||||
\(80\) | −5.42002e8 | − | 3.12925e8i | −0.165406 | − | 0.0954972i | ||||
\(81\) | 1.52641e9 | − | 2.64382e9i | 0.437769 | − | 0.758239i | ||||
\(82\) | − | 4.88036e9i | − | 1.31638i | ||||||
\(83\) | −1.70880e9 | + | 2.95974e9i | −0.433812 | + | 0.751385i | −0.997198 | − | 0.0748090i | \(-0.976165\pi\) |
0.563385 | + | 0.826194i | \(0.309499\pi\) | |||||||
\(84\) | 9.74926e8 | 0.233118 | ||||||||
\(85\) | 5.73065e8i | 0.129154i | ||||||||
\(86\) | −5.32232e9 | + | 2.91571e9i | −1.13138 | + | 0.619800i | ||||
\(87\) | 1.45581e9 | 0.292085 | ||||||||
\(88\) | 1.76209e9i | 0.333899i | ||||||||
\(89\) | 3.99883e9 | + | 2.30873e9i | 0.716116 | + | 0.413450i | 0.813321 | − | 0.581815i | \(-0.197657\pi\) |
−0.0972055 | + | 0.995264i | \(0.530990\pi\) | |||||||
\(90\) | 1.33151e8 | 0.0225493 | ||||||||
\(91\) | 2.76712e9 | + | 1.59760e9i | 0.443427 | + | 0.256012i | ||||
\(92\) | 3.12615e9 | − | 5.41464e9i | 0.474319 | − | 0.821544i | ||||
\(93\) | −1.08015e10 | + | 6.23624e9i | −1.55263 | + | 0.896413i | ||||
\(94\) | − | 7.27559e9i | − | 0.991355i | ||||||
\(95\) | −7.78096e8 | − | 1.34770e9i | −0.100558 | − | 0.174171i | ||||
\(96\) | −4.39725e9 | + | 7.61626e9i | −0.539293 | + | 0.934084i | ||||
\(97\) | −4.35620e9 | −0.507281 | −0.253641 | − | 0.967299i | \(-0.581628\pi\) | ||||
−0.253641 | + | 0.967299i | \(0.581628\pi\) | |||||||
\(98\) | −8.69772e9 | − | 5.02163e9i | −0.962221 | − | 0.555539i | ||||
\(99\) | −4.10209e8 | − | 7.10502e8i | −0.0431349 | − | 0.0747119i | ||||
\(100\) | 3.23989e9 | + | 5.61166e9i | 0.323989 | + | 0.561166i | ||||
\(101\) | 6.83517e9 | + | 1.18389e10i | 0.650343 | + | 1.12643i | 0.983040 | + | 0.183393i | \(0.0587081\pi\) |
−0.332697 | + | 0.943034i | \(0.607959\pi\) | |||||||
\(102\) | 1.11008e10 | 1.00544 | ||||||||
\(103\) | −1.27955e9 | − | 2.21624e9i | −0.110375 | − | 0.191175i | 0.805547 | − | 0.592533i | \(-0.201872\pi\) |
−0.915921 | + | 0.401357i | \(0.868539\pi\) | |||||||
\(104\) | −6.27525e9 | + | 3.62302e9i | −0.515780 | + | 0.297786i | ||||
\(105\) | −6.05824e8 | − | 3.49773e8i | −0.0474679 | − | 0.0274056i | ||||
\(106\) | −2.39293e10 | − | 1.38156e10i | −1.78813 | − | 1.03238i | ||||
\(107\) | 1.88114e10 | 1.34123 | 0.670614 | − | 0.741807i | \(-0.266031\pi\) | ||||
0.670614 | + | 0.741807i | \(0.266031\pi\) | |||||||
\(108\) | − | 1.02259e10i | − | 0.695960i | ||||||
\(109\) | 2.93709e9 | − | 5.08720e9i | 0.190891 | − | 0.330633i | −0.754655 | − | 0.656122i | \(-0.772196\pi\) |
0.945546 | + | 0.325489i | \(0.105529\pi\) | |||||||
\(110\) | −1.25030e9 | + | 2.16558e9i | −0.0776338 | + | 0.134466i | ||||
\(111\) | 3.32652e9 | + | 5.76170e9i | 0.197413 | + | 0.341929i | ||||
\(112\) | −6.95236e9 | + | 4.01395e9i | −0.394496 | + | 0.227762i | ||||
\(113\) | 2.16318e10i | 1.17409i | 0.809556 | + | 0.587043i | \(0.199708\pi\) | ||||
−0.809556 | + | 0.587043i | \(0.800292\pi\) | |||||||
\(114\) | −2.61063e10 | + | 1.50725e10i | −1.35588 | + | 0.782817i | ||||
\(115\) | −3.88521e9 | + | 2.24313e9i | −0.193164 | + | 0.111523i | ||||
\(116\) | 3.74446e9 | − | 2.16187e9i | 0.178279 | − | 0.102929i | ||||
\(117\) | 1.68685e9 | − | 2.92171e9i | 0.0769392 | − | 0.133263i | ||||
\(118\) | − | 3.85725e10i | − | 1.68604i | ||||||
\(119\) | 6.36599e9 | + | 3.67541e9i | 0.266767 | + | 0.154018i | ||||
\(120\) | 1.37388e9 | − | 7.93210e8i | 0.0552132 | − | 0.0318773i | ||||
\(121\) | −1.05299e10 | −0.405972 | ||||||||
\(122\) | −1.86382e10 | − | 3.22824e10i | −0.689613 | − | 1.19445i | ||||
\(123\) | 2.34456e10 | + | 1.35363e10i | 0.832792 | + | 0.480813i | ||||
\(124\) | −1.85215e10 | + | 3.20802e10i | −0.631784 | + | 1.09428i | ||||
\(125\) | − | 9.41520e9i | − | 0.308517i | ||||||
\(126\) | 8.53978e8 | − | 1.47913e9i | 0.0268902 | − | 0.0465752i | ||||
\(127\) | −2.84019e10 | −0.859664 | −0.429832 | − | 0.902909i | \(-0.641427\pi\) | ||||
−0.429832 | + | 0.902909i | \(0.641427\pi\) | |||||||
\(128\) | − | 2.80921e10i | − | 0.817588i | ||||||
\(129\) | 7.54905e8 | − | 3.36560e10i | 0.0211321 | − | 0.942136i | ||||
\(130\) | −1.02829e10 | −0.276949 | ||||||||
\(131\) | − | 5.33960e10i | − | 1.38405i | −0.721873 | − | 0.692026i | \(-0.756718\pi\) | ||
0.721873 | − | 0.692026i | \(-0.243282\pi\) | |||||||
\(132\) | 1.67421e10 | + | 9.66605e9i | 0.417773 | + | 0.241201i | ||||
\(133\) | −1.99616e10 | −0.479663 | ||||||||
\(134\) | −4.46949e10 | − | 2.58046e10i | −1.03451 | − | 0.597274i | ||||
\(135\) | −3.66875e9 | + | 6.35446e9i | −0.0818180 | + | 0.141713i | ||||
\(136\) | −1.44367e10 | + | 8.33504e9i | −0.310294 | + | 0.179149i | ||||
\(137\) | − | 5.86989e10i | − | 1.21626i | −0.793837 | − | 0.608131i | \(-0.791920\pi\) | ||
0.793837 | − | 0.608131i | \(-0.208080\pi\) | |||||||
\(138\) | 4.34515e10 | + | 7.52603e10i | 0.868180 | + | 1.50373i | ||||
\(139\) | 4.33664e10 | − | 7.51128e10i | 0.835755 | − | 1.44757i | −0.0576586 | − | 0.998336i | \(-0.518363\pi\) |
0.893414 | − | 0.449234i | \(-0.148303\pi\) | |||||||
\(140\) | −2.07764e9 | −0.0386304 | ||||||||
\(141\) | 3.49525e10 | + | 2.01799e10i | 0.627167 | + | 0.362095i | ||||
\(142\) | 1.33129e10 | + | 2.30586e10i | 0.230585 | + | 0.399385i | ||||
\(143\) | 3.16793e10 | + | 5.48702e10i | 0.529780 | + | 0.917606i | ||||
\(144\) | 4.23819e9 | + | 7.34077e9i | 0.0684492 | + | 0.118557i | ||||
\(145\) | −3.10244e9 | −0.0484020 | ||||||||
\(146\) | 3.19743e10 | + | 5.53811e10i | 0.481989 | + | 0.834829i | ||||
\(147\) | 4.82486e10 | − | 2.78564e10i | 0.702908 | − | 0.405824i | ||||
\(148\) | 1.71121e10 | + | 9.87970e9i | 0.240988 | + | 0.139135i | ||||
\(149\) | 5.25234e10 | + | 3.03244e10i | 0.715190 | + | 0.412915i | 0.812980 | − | 0.582292i | \(-0.197844\pi\) |
−0.0977899 | + | 0.995207i | \(0.531177\pi\) | |||||||
\(150\) | −9.00651e10 | −1.18604 | ||||||||
\(151\) | 1.47720e11i | 1.88172i | 0.338796 | + | 0.940860i | \(0.389980\pi\) | ||||
−0.338796 | + | 0.940860i | \(0.610020\pi\) | |||||||
\(152\) | 2.26343e10 | − | 3.92037e10i | 0.278964 | − | 0.483180i | ||||
\(153\) | 3.88074e9 | − | 6.72164e9i | 0.0462868 | − | 0.0801711i | ||||
\(154\) | 1.60378e10 | + | 2.77783e10i | 0.185158 | + | 0.320703i | ||||
\(155\) | 2.30188e10 | − | 1.32899e10i | 0.257290 | − | 0.148547i | ||||
\(156\) | 7.94971e10i | 0.860456i | ||||||||
\(157\) | −4.28644e10 | + | 2.47478e10i | −0.449364 | + | 0.259441i | −0.707562 | − | 0.706652i | \(-0.750205\pi\) |
0.258197 | + | 0.966092i | \(0.416872\pi\) | |||||||
\(158\) | 2.42349e10 | − | 1.39920e10i | 0.246125 | − | 0.142100i | ||||
\(159\) | 1.32742e11 | − | 7.66388e10i | 1.30624 | − | 0.754159i | ||||
\(160\) | 9.37086e9 | − | 1.62308e10i | 0.0893675 | − | 0.154789i | ||||
\(161\) | 5.75460e10i | 0.531968i | ||||||||
\(162\) | 1.09139e11 | + | 6.30115e10i | 0.978150 | + | 0.564735i | ||||
\(163\) | −9.90067e10 | + | 5.71615e10i | −0.860451 | + | 0.496782i | −0.864163 | − | 0.503211i | \(-0.832152\pi\) |
0.00371202 | + | 0.999993i | \(0.498818\pi\) | |||||||
\(164\) | 8.04054e10 | 0.677744 | ||||||||
\(165\) | −6.93575e9 | − | 1.20131e10i | −0.0567119 | − | 0.0982279i | ||||
\(166\) | −1.22181e11 | − | 7.05411e10i | −0.969309 | − | 0.559631i | ||||
\(167\) | 3.72816e10 | − | 6.45737e10i | 0.287020 | − | 0.497134i | −0.686077 | − | 0.727529i | \(-0.740669\pi\) |
0.973097 | + | 0.230395i | \(0.0740020\pi\) | |||||||
\(168\) | − | 2.03493e10i | − | 0.152056i | ||||||
\(169\) | −6.13418e10 | + | 1.06247e11i | −0.444962 | + | 0.770697i | ||||
\(170\) | −2.36567e10 | −0.166613 | ||||||||
\(171\) | 2.10767e10i | 0.144153i | ||||||||
\(172\) | −4.80372e10 | − | 8.76869e10i | −0.319106 | − | 0.582496i | ||||
\(173\) | −4.53043e10 | −0.292354 | −0.146177 | − | 0.989258i | \(-0.546697\pi\) | ||||
−0.146177 | + | 0.989258i | \(0.546697\pi\) | |||||||
\(174\) | 6.00973e10i | 0.376798i | ||||||||
\(175\) | −5.16497e10 | − | 2.98199e10i | −0.314686 | − | 0.181684i | ||||
\(176\) | −1.59188e11 | −0.942641 | ||||||||
\(177\) | 1.85306e11 | + | 1.06986e11i | 1.06665 | + | 0.615831i | ||||
\(178\) | −9.53065e10 | + | 1.65076e11i | −0.533362 | + | 0.923811i | ||||
\(179\) | 1.40705e11 | − | 8.12359e10i | 0.765674 | − | 0.442062i | −0.0656554 | − | 0.997842i | \(-0.520914\pi\) |
0.831329 | + | 0.555780i | \(0.187580\pi\) | |||||||
\(180\) | 2.19371e9i | 0.0116096i | ||||||||
\(181\) | −7.43323e10 | − | 1.28747e11i | −0.382635 | − | 0.662743i | 0.608803 | − | 0.793321i | \(-0.291650\pi\) |
−0.991438 | + | 0.130578i | \(0.958317\pi\) | |||||||
\(182\) | −6.59504e10 | + | 1.14230e11i | −0.330264 | + | 0.572033i | ||||
\(183\) | 2.06783e11 | 1.00753 | ||||||||
\(184\) | −1.13018e11 | − | 6.52510e10i | −0.535869 | − | 0.309384i | ||||
\(185\) | −7.08905e9 | − | 1.22786e10i | −0.0327137 | − | 0.0566618i | ||||
\(186\) | −2.57438e11 | − | 4.45896e11i | −1.15640 | − | 2.00294i | ||||
\(187\) | 7.28808e10 | + | 1.26233e11i | 0.318717 | + | 0.552034i | ||||
\(188\) | 1.19868e11 | 0.510402 | ||||||||
\(189\) | 4.70597e10 | + | 8.15098e10i | 0.195137 | + | 0.337988i | ||||
\(190\) | 5.56344e10 | − | 3.21205e10i | 0.224686 | − | 0.129722i | ||||
\(191\) | 1.10887e11 | + | 6.40204e10i | 0.436227 | + | 0.251856i | 0.701996 | − | 0.712181i | \(-0.252293\pi\) |
−0.265769 | + | 0.964037i | \(0.585626\pi\) | |||||||
\(192\) | −5.39695e10 | − | 3.11593e10i | −0.206844 | − | 0.119421i | ||||
\(193\) | 1.19474e11 | 0.446157 | 0.223079 | − | 0.974800i | \(-0.428389\pi\) | ||||
0.223079 | + | 0.974800i | \(0.428389\pi\) | |||||||
\(194\) | − | 1.79828e11i | − | 0.654408i | ||||||
\(195\) | 2.85211e10 | − | 4.94000e10i | 0.101156 | − | 0.175208i | ||||
\(196\) | 8.27329e10 | − | 1.43298e11i | 0.286021 | − | 0.495403i | ||||
\(197\) | −1.55116e11 | − | 2.68669e11i | −0.522788 | − | 0.905496i | −0.999648 | − | 0.0265166i | \(-0.991559\pi\) |
0.476860 | − | 0.878979i | \(-0.341775\pi\) | |||||||
\(198\) | 2.93302e10 | − | 1.69338e10i | 0.0963805 | − | 0.0556453i | ||||
\(199\) | − | 2.50056e11i | − | 0.801256i | −0.916241 | − | 0.400628i | \(-0.868792\pi\) | ||
0.916241 | − | 0.400628i | \(-0.131208\pi\) | |||||||
\(200\) | 1.17130e11 | − | 6.76253e10i | 0.366032 | − | 0.211329i | ||||
\(201\) | 2.47935e11 | − | 1.43145e11i | 0.755715 | − | 0.436312i | ||||
\(202\) | −4.88719e11 | + | 2.82162e11i | −1.45312 | + | 0.838961i | ||||
\(203\) | −1.98978e10 | + | 3.44640e10i | −0.0577198 | + | 0.0999736i | ||||
\(204\) | 1.82890e11i | 0.517652i | ||||||||
\(205\) | −4.99644e10 | − | 2.88469e10i | −0.138004 | − | 0.0796765i | ||||
\(206\) | 9.14886e10 | − | 5.28210e10i | 0.246621 | − | 0.142387i | ||||
\(207\) | 6.07609e10 | 0.159872 | ||||||||
\(208\) | −3.27304e11 | − | 5.66908e11i | −0.840688 | − | 1.45612i | ||||
\(209\) | −3.42794e11 | − | 1.97912e11i | −0.859610 | − | 0.496296i | ||||
\(210\) | 1.44390e10 | − | 2.50090e10i | 0.0353541 | − | 0.0612350i | ||||
\(211\) | 5.78042e11i | 1.38212i | 0.722795 | + | 0.691062i | \(0.242857\pi\) | ||||
−0.722795 | + | 0.691062i | \(0.757143\pi\) | |||||||
\(212\) | 2.27616e11 | − | 3.94242e11i | 0.531524 | − | 0.920627i | ||||
\(213\) | −1.47701e11 | −0.336887 | ||||||||
\(214\) | 7.76553e11i | 1.73022i | ||||||||
\(215\) | −1.60876e9 | + | 7.17234e10i | −0.00350185 | + | 0.156124i | ||||
\(216\) | −2.13443e11 | −0.453955 | ||||||||
\(217\) | − | 3.40944e11i | − | 0.708572i | ||||||
\(218\) | 2.10004e11 | + | 1.21246e11i | 0.426526 | + | 0.246255i | ||||
\(219\) | −3.54741e11 | −0.704191 | ||||||||
\(220\) | −3.56786e10 | − | 2.05991e10i | −0.0692301 | − | 0.0399700i | ||||
\(221\) | −2.99699e11 | + | 5.19094e11i | −0.568492 | + | 0.984656i | ||||
\(222\) | −2.37848e11 | + | 1.37322e11i | −0.441098 | + | 0.254668i | ||||
\(223\) | 5.51700e11i | 1.00041i | 0.865907 | + | 0.500205i | \(0.166742\pi\) | ||||
−0.865907 | + | 0.500205i | \(0.833258\pi\) | |||||||
\(224\) | −1.20202e11 | − | 2.08196e11i | −0.213143 | − | 0.369174i | ||||
\(225\) | −3.14859e10 | + | 5.45351e10i | −0.0546013 | + | 0.0945723i | ||||
\(226\) | −8.92980e11 | −1.51461 | ||||||||
\(227\) | 4.88962e11 | + | 2.82302e11i | 0.811234 | + | 0.468366i | 0.847384 | − | 0.530980i | \(-0.178176\pi\) |
−0.0361505 | + | 0.999346i | \(0.511510\pi\) | |||||||
\(228\) | −2.48324e11 | − | 4.30109e11i | −0.403036 | − | 0.698079i | ||||
\(229\) | 3.23363e11 | + | 5.60081e11i | 0.513467 | + | 0.889351i | 0.999878 | + | 0.0156211i | \(0.00497255\pi\) |
−0.486411 | + | 0.873730i | \(0.661694\pi\) | |||||||
\(230\) | −9.25984e10 | − | 1.60385e11i | −0.143868 | − | 0.249187i | ||||
\(231\) | −1.77932e11 | −0.270517 | ||||||||
\(232\) | −4.51239e10 | − | 7.81570e10i | −0.0671378 | − | 0.116286i | ||||
\(233\) | −4.42206e11 | + | 2.55308e11i | −0.643939 | + | 0.371778i | −0.786130 | − | 0.618061i | \(-0.787919\pi\) |
0.142191 | + | 0.989839i | \(0.454585\pi\) | |||||||
\(234\) | 1.20611e11 | + | 6.96348e10i | 0.171913 | + | 0.0992538i | ||||
\(235\) | −7.44864e10 | − | 4.30047e10i | −0.103929 | − | 0.0600036i | ||||
\(236\) | 6.35495e11 | 0.868064 | ||||||||
\(237\) | 1.55235e11i | 0.207610i | ||||||||
\(238\) | −1.51724e11 | + | 2.62794e11i | −0.198687 | + | 0.344137i | ||||
\(239\) | 4.18261e11 | − | 7.24449e11i | 0.536362 | − | 0.929006i | −0.462734 | − | 0.886497i | \(-0.653132\pi\) |
0.999096 | − | 0.0425090i | \(-0.0135351\pi\) | |||||||
\(240\) | 7.16588e10 | + | 1.24117e11i | 0.0899940 | + | 0.155874i | ||||
\(241\) | −4.21427e11 | + | 2.43311e11i | −0.518366 | + | 0.299279i | −0.736266 | − | 0.676692i | \(-0.763413\pi\) |
0.217900 | + | 0.975971i | \(0.430079\pi\) | |||||||
\(242\) | − | 4.34683e11i | − | 0.523716i | ||||||
\(243\) | 1.63463e11 | − | 9.43756e10i | 0.192925 | − | 0.111385i | ||||
\(244\) | 5.31862e11 | − | 3.07071e11i | 0.614964 | − | 0.355050i | ||||
\(245\) | −1.02821e11 | + | 5.93639e10i | −0.116480 | + | 0.0672500i | ||||
\(246\) | −5.58793e11 | + | 9.67858e11i | −0.620262 | + | 1.07433i | ||||
\(247\) | − | 1.62770e12i | − | 1.77047i | ||||||
\(248\) | 6.69600e11 | + | 3.86594e11i | 0.713768 | + | 0.412094i | ||||
\(249\) | 6.77770e11 | − | 3.91311e11i | 0.708085 | − | 0.408813i | ||||
\(250\) | 3.88668e11 | 0.397996 | ||||||||
\(251\) | 5.28711e11 | + | 9.15754e11i | 0.530700 | + | 0.919200i | 0.999358 | + | 0.0358204i | \(0.0114044\pi\) |
−0.468658 | + | 0.883380i | \(0.655262\pi\) | |||||||
\(252\) | 2.43692e10 | + | 1.40696e10i | 0.0239794 | + | 0.0138445i | ||||
\(253\) | −5.70549e11 | + | 9.88220e11i | −0.550415 | + | 0.953347i | ||||
\(254\) | − | 1.17246e12i | − | 1.10899i | ||||||
\(255\) | 6.56150e10 | − | 1.13649e11i | 0.0608559 | − | 0.105405i | ||||
\(256\) | 1.43834e12 | 1.30816 | ||||||||
\(257\) | 8.83864e11i | 0.788351i | 0.919035 | + | 0.394176i | \(0.128970\pi\) | ||||
−0.919035 | + | 0.394176i | \(0.871030\pi\) | |||||||
\(258\) | 1.38935e12 | + | 3.11632e10i | 1.21538 | + | 0.0272611i | ||||
\(259\) | −1.81865e11 | −0.156045 | ||||||||
\(260\) | − | 1.69414e11i | − | 0.142588i | ||||||
\(261\) | 3.63894e10 | + | 2.10094e10i | 0.0300450 | + | 0.0173465i | ||||
\(262\) | 2.20424e12 | 1.78547 | ||||||||
\(263\) | 1.78085e12 | + | 1.02817e12i | 1.41530 | + | 0.817124i | 0.995881 | − | 0.0906689i | \(-0.0289005\pi\) |
0.419419 | + | 0.907793i | \(0.362234\pi\) | |||||||
\(264\) | 2.01756e11 | − | 3.49452e11i | 0.157329 | − | 0.272501i | ||||
\(265\) | −2.82883e11 | + | 1.63323e11i | −0.216460 | + | 0.124973i | ||||
\(266\) | − | 8.24032e11i | − | 0.618780i | ||||||
\(267\) | −5.28691e11 | − | 9.15720e11i | −0.389624 | − | 0.674849i | ||||
\(268\) | 4.25139e11 | − | 7.36363e11i | 0.307509 | − | 0.532621i | ||||
\(269\) | −1.84471e12 | −1.30968 | −0.654842 | − | 0.755766i | \(-0.727265\pi\) | ||||
−0.654842 | + | 0.755766i | \(0.727265\pi\) | |||||||
\(270\) | −2.62318e11 | − | 1.51449e11i | −0.182814 | − | 0.105548i | ||||
\(271\) | 1.05654e12 | + | 1.82999e12i | 0.722838 | + | 1.25199i | 0.959858 | + | 0.280487i | \(0.0904959\pi\) |
−0.237020 | + | 0.971505i | \(0.576171\pi\) | |||||||
\(272\) | −7.52990e11 | − | 1.30422e12i | −0.505760 | − | 0.876003i | ||||
\(273\) | −3.65845e11 | − | 6.33663e11i | −0.241259 | − | 0.417873i | ||||
\(274\) | 2.42314e12 | 1.56901 | ||||||||
\(275\) | −5.91309e11 | − | 1.02418e12i | −0.375968 | − | 0.651196i | ||||
\(276\) | −1.23994e12 | + | 7.15877e11i | −0.774201 | + | 0.446985i | ||||
\(277\) | −2.70610e12 | − | 1.56237e12i | −1.65938 | − | 0.958043i | −0.973002 | − | 0.230797i | \(-0.925867\pi\) |
−0.686377 | − | 0.727246i | \(-0.740800\pi\) | |||||||
\(278\) | 3.10073e12 | + | 1.79021e12i | 1.86741 | + | 1.07815i | ||||
\(279\) | −3.59991e11 | −0.212947 | ||||||||
\(280\) | 4.33659e10i | 0.0251975i | ||||||||
\(281\) | 1.60205e12 | − | 2.77483e12i | 0.914416 | − | 1.58381i | 0.106661 | − | 0.994295i | \(-0.465984\pi\) |
0.807755 | − | 0.589519i | \(-0.200683\pi\) | |||||||
\(282\) | −8.33043e11 | + | 1.44287e12i | −0.467113 | + | 0.809064i | ||||
\(283\) | −6.23926e11 | − | 1.08067e12i | −0.343717 | − | 0.595335i | 0.641403 | − | 0.767204i | \(-0.278353\pi\) |
−0.985120 | + | 0.171869i | \(0.945019\pi\) | |||||||
\(284\) | −3.79898e11 | + | 2.19334e11i | −0.205625 | + | 0.118718i | ||||
\(285\) | 3.56363e11i | 0.189526i | ||||||||
\(286\) | −2.26509e12 | + | 1.30775e12i | −1.18374 | + | 0.683432i | ||||
\(287\) | −6.40902e11 | + | 3.70025e11i | −0.329141 | + | 0.190030i | ||||
\(288\) | −2.19827e11 | + | 1.26917e11i | −0.110948 | + | 0.0640557i | ||||
\(289\) | 3.18515e11 | − | 5.51684e11i | 0.157994 | − | 0.273654i | ||||
\(290\) | − | 1.28072e11i | − | 0.0624400i | ||||||
\(291\) | 8.63908e11 | + | 4.98777e11i | 0.414002 | + | 0.239024i | ||||
\(292\) | −9.12421e11 | + | 5.26787e11i | −0.429814 | + | 0.248153i | ||||
\(293\) | 1.09966e12 | 0.509236 | 0.254618 | − | 0.967042i | \(-0.418050\pi\) | ||||
0.254618 | + | 0.967042i | \(0.418050\pi\) | |||||||
\(294\) | 1.14994e12 | + | 1.99175e12i | 0.523525 | + | 0.906771i | ||||
\(295\) | −3.94900e11 | − | 2.27996e11i | −0.176757 | − | 0.102051i | ||||
\(296\) | 2.06216e11 | − | 3.57176e11i | 0.0907535 | − | 0.157190i | ||||
\(297\) | 1.86632e12i | 0.807616i | ||||||||
\(298\) | −1.25182e12 | + | 2.16821e12i | −0.532673 | + | 0.922616i | ||||
\(299\) | −4.69240e12 | −1.96354 | ||||||||
\(300\) | − | 1.48385e12i | − | 0.610638i | ||||||
\(301\) | 7.86433e11 | + | 4.77876e11i | 0.318295 | + | 0.193412i | ||||
\(302\) | −6.09803e12 | −2.42747 | ||||||||
\(303\) | − | 3.13046e12i | − | 1.22573i | ||||||
\(304\) | 3.54168e12 | + | 2.04479e12i | 1.36408 | + | 0.787554i | ||||
\(305\) | −4.40669e11 | −0.166960 | ||||||||
\(306\) | 2.77476e11 | + | 1.60201e11i | 0.103423 | + | 0.0597114i | ||||
\(307\) | −9.71653e11 | + | 1.68295e12i | −0.356303 | + | 0.617134i | −0.987340 | − | 0.158618i | \(-0.949296\pi\) |
0.631037 | + | 0.775752i | \(0.282629\pi\) | |||||||
\(308\) | −4.57657e11 | + | 2.64228e11i | −0.165115 | + | 0.0953291i | ||||
\(309\) | 5.86025e11i | 0.208029i | ||||||||
\(310\) | 5.48619e11 | + | 9.50236e11i | 0.191630 | + | 0.331912i | ||||
\(311\) | 8.92709e11 | − | 1.54622e12i | 0.306837 | − | 0.531457i | −0.670832 | − | 0.741610i | \(-0.734063\pi\) |
0.977669 | + | 0.210152i | \(0.0673960\pi\) | |||||||
\(312\) | 1.65932e12 | 0.561250 | ||||||||
\(313\) | 2.36168e12 | + | 1.36352e12i | 0.786139 | + | 0.453878i | 0.838602 | − | 0.544745i | \(-0.183374\pi\) |
−0.0524625 | + | 0.998623i | \(0.516707\pi\) | |||||||
\(314\) | −1.02161e12 | − | 1.76948e12i | −0.334686 | − | 0.579693i | ||||
\(315\) | −1.00954e10 | − | 1.74858e10i | −0.00325516 | − | 0.00563810i | ||||
\(316\) | 2.30523e11 | + | 3.99278e11i | 0.0731609 | + | 0.126718i | ||||
\(317\) | −4.85387e12 | −1.51632 | −0.758162 | − | 0.652067i | \(-0.773902\pi\) | ||||
−0.758162 | + | 0.652067i | \(0.773902\pi\) | |||||||
\(318\) | 3.16372e12 | + | 5.47973e12i | 0.972888 | + | 1.68509i | ||||
\(319\) | −6.83397e11 | + | 3.94560e11i | −0.206881 | + | 0.119443i | ||||
\(320\) | 1.15013e11 | + | 6.64027e10i | 0.0342765 | + | 0.0197896i | ||||
\(321\) | −3.73062e12 | − | 2.15388e12i | −1.09460 | − | 0.631969i | ||||
\(322\) | −2.37555e12 | −0.686255 | ||||||||
\(323\) | − | 3.74466e12i | − | 1.06512i | ||||||
\(324\) | −1.03813e12 | + | 1.79810e12i | −0.290756 | + | 0.503604i | ||||
\(325\) | 2.43157e12 | − | 4.21160e12i | 0.670610 | − | 1.16153i | ||||
\(326\) | −2.35968e12 | − | 4.08709e12i | −0.640863 | − | 1.11001i | ||||
\(327\) | −1.16495e12 | + | 6.72585e11i | −0.311580 | + | 0.179891i | ||||
\(328\) | − | 1.67828e12i | − | 0.442073i | ||||||
\(329\) | −9.55451e11 | + | 5.51630e11i | −0.247873 | + | 0.143109i | ||||
\(330\) | 4.95911e11 | − | 2.86315e11i | 0.126717 | − | 0.0731600i | ||||
\(331\) | 1.19899e12 | − | 6.92238e11i | 0.301770 | − | 0.174227i | −0.341468 | − | 0.939894i | \(-0.610924\pi\) |
0.643238 | + | 0.765666i | \(0.277591\pi\) | |||||||
\(332\) | 1.16219e12 | − | 2.01296e12i | 0.288128 | − | 0.499052i | ||||
\(333\) | 1.92025e11i | 0.0468962i | ||||||||
\(334\) | 2.66566e12 | + | 1.53902e12i | 0.641317 | + | 0.370265i | ||||
\(335\) | −5.28368e11 | + | 3.05053e11i | −0.125231 | + | 0.0723022i | ||||
\(336\) | 1.83836e12 | 0.429274 | ||||||||
\(337\) | −1.76567e12 | − | 3.05823e12i | −0.406219 | − | 0.703593i | 0.588243 | − | 0.808684i | \(-0.299820\pi\) |
−0.994463 | + | 0.105091i | \(0.966486\pi\) | |||||||
\(338\) | −4.38598e12 | − | 2.53225e12i | −0.994222 | − | 0.574014i | ||||
\(339\) | 2.47680e12 | − | 4.28995e12i | 0.553214 | − | 0.958194i | ||||
\(340\) | − | 3.89751e11i | − | 0.0857813i | ||||||
\(341\) | 3.38034e12 | − | 5.85492e12i | 0.733143 | − | 1.26984i | ||||
\(342\) | −8.70068e11 | −0.185961 | ||||||||
\(343\) | 3.29118e12i | 0.693235i | ||||||||
\(344\) | −1.83026e12 | + | 1.00266e12i | −0.379945 | + | 0.208144i | ||||
\(345\) | 1.02734e12 | 0.210193 | ||||||||
\(346\) | − | 1.87020e12i | − | 0.377145i | ||||||
\(347\) | 5.21753e12 | + | 3.01234e12i | 1.03709 | + | 0.598765i | 0.919008 | − | 0.394238i | \(-0.128991\pi\) |
0.118084 | + | 0.993004i | \(0.462325\pi\) | |||||||
\(348\) | −9.90121e11 | −0.193996 | ||||||||
\(349\) | 5.46754e12 | + | 3.15669e12i | 1.05600 | + | 0.609683i | 0.924324 | − | 0.381609i | \(-0.124630\pi\) |
0.131679 | + | 0.991292i | \(0.457963\pi\) | |||||||
\(350\) | 1.23100e12 | − | 2.13215e12i | 0.234378 | − | 0.405954i | ||||
\(351\) | −6.64645e12 | + | 3.83733e12i | −1.24754 | + | 0.720267i | ||||
\(352\) | − | 4.76704e12i | − | 0.882136i | ||||||
\(353\) | −1.75076e12 | − | 3.03241e12i | −0.319414 | − | 0.553242i | 0.660952 | − | 0.750428i | \(-0.270153\pi\) |
−0.980366 | + | 0.197187i | \(0.936819\pi\) | |||||||
\(354\) | −4.41649e12 | + | 7.64959e12i | −0.794440 | + | 1.37601i | ||||
\(355\) | 3.14761e11 | 0.0558263 | ||||||||
\(356\) | −2.71967e12 | − | 1.57020e12i | −0.475627 | − | 0.274603i | ||||
\(357\) | −8.41657e11 | − | 1.45779e12i | −0.145142 | − | 0.251394i | ||||
\(358\) | 3.35350e12 | + | 5.80843e12i | 0.570273 | + | 0.987742i | ||||
\(359\) | 1.51035e12 | + | 2.61600e12i | 0.253283 | + | 0.438698i | 0.964428 | − | 0.264347i | \(-0.0851564\pi\) |
−0.711145 | + | 0.703045i | \(0.751823\pi\) | |||||||
\(360\) | 4.57886e10 | 0.00757259 | ||||||||
\(361\) | 2.01888e12 | + | 3.49680e12i | 0.329287 | + | 0.570342i | ||||
\(362\) | 5.31481e12 | − | 3.06851e12i | 0.854958 | − | 0.493610i | ||||
\(363\) | 2.08825e12 | + | 1.20565e12i | 0.331322 | + | 0.191289i | ||||
\(364\) | −1.88197e12 | − | 1.08655e12i | −0.294513 | − | 0.170037i | ||||
\(365\) | 7.55978e11 | 0.116693 | ||||||||
\(366\) | 8.53619e12i | 1.29975i | ||||||||
\(367\) | 2.45639e12 | − | 4.25460e12i | 0.368950 | − | 0.639040i | −0.620452 | − | 0.784245i | \(-0.713051\pi\) |
0.989402 | + | 0.145205i | \(0.0463841\pi\) | |||||||
\(368\) | 5.89480e12 | − | 1.02101e13i | 0.873434 | − | 1.51283i | ||||
\(369\) | 3.90697e11 | + | 6.76707e11i | 0.0571095 | + | 0.0989165i | ||||
\(370\) | 5.06872e11 | − | 2.92643e11i | 0.0730953 | − | 0.0422016i | ||||
\(371\) | 4.18995e12i | 0.596127i | ||||||||
\(372\) | 7.34627e12 | − | 4.24137e12i | 1.03122 | − | 0.595376i | ||||
\(373\) | −3.07830e12 | + | 1.77726e12i | −0.426351 | + | 0.246154i | −0.697791 | − | 0.716302i | \(-0.745834\pi\) |
0.271440 | + | 0.962455i | \(0.412500\pi\) | |||||||
\(374\) | −5.21103e12 | + | 3.00859e12i | −0.712140 | + | 0.411154i | ||||
\(375\) | −1.07803e12 | + | 1.86719e12i | −0.145369 | + | 0.251787i | ||||
\(376\) | − | 2.50196e12i | − | 0.332921i | ||||||
\(377\) | −2.81025e12 | − | 1.62250e12i | −0.369010 | − | 0.213048i | ||||
\(378\) | −3.36480e12 | + | 1.94267e12i | −0.436014 | + | 0.251733i | ||||
\(379\) | 2.23716e12 | 0.286089 | 0.143045 | − | 0.989716i | \(-0.454311\pi\) | ||||
0.143045 | + | 0.989716i | \(0.454311\pi\) | |||||||
\(380\) | 5.29196e11 | + | 9.16594e11i | 0.0667880 | + | 0.115680i | ||||
\(381\) | 5.63258e12 | + | 3.25197e12i | 0.701589 | + | 0.405062i | ||||
\(382\) | −2.64282e12 | + | 4.57750e12i | −0.324901 | + | 0.562745i | ||||
\(383\) | − | 3.12795e11i | − | 0.0379547i | −0.999820 | − | 0.0189774i | \(-0.993959\pi\) | ||
0.999820 | − | 0.0189774i | \(-0.00604104\pi\) | |||||||
\(384\) | −3.21650e12 | + | 5.57114e12i | −0.385236 | + | 0.667249i | ||||
\(385\) | 3.79187e11 | 0.0448281 | ||||||||
\(386\) | 4.93201e12i | 0.575556i | ||||||||
\(387\) | 5.04573e11 | − | 8.30369e11i | 0.0581258 | − | 0.0956568i | ||||
\(388\) | 2.96272e12 | 0.336924 | ||||||||
\(389\) | − | 6.18039e12i | − | 0.693853i | −0.937892 | − | 0.346927i | \(-0.887225\pi\) | ||
0.937892 | − | 0.346927i | \(-0.112775\pi\) | |||||||
\(390\) | 2.03928e12 | + | 1.17738e12i | 0.226023 | + | 0.130495i | ||||
\(391\) | −1.07952e13 | −1.18127 | ||||||||
\(392\) | −2.99100e12 | − | 1.72686e12i | −0.323137 | − | 0.186563i | ||||
\(393\) | −6.11375e12 | + | 1.05893e13i | −0.652147 | + | 1.12955i | ||||
\(394\) | 1.10909e13 | − | 6.40334e12i | 1.16812 | − | 0.674412i | ||||
\(395\) | − | 3.30818e11i | − | 0.0344035i | ||||||
\(396\) | 2.78990e11 | + | 4.83224e11i | 0.0286492 | + | 0.0496218i | ||||
\(397\) | −3.69027e12 | + | 6.39173e12i | −0.374201 | + | 0.648136i | −0.990207 | − | 0.139606i | \(-0.955416\pi\) |
0.616006 | + | 0.787742i | \(0.288750\pi\) | |||||||
\(398\) | 1.03225e13 | 1.03364 | ||||||||
\(399\) | 3.95872e12 | + | 2.28557e12i | 0.391462 | + | 0.226011i | ||||
\(400\) | 6.10929e12 | + | 1.05816e13i | 0.596610 | + | 1.03336i | ||||
\(401\) | −7.22526e12 | − | 1.25145e13i | −0.696838 | − | 1.20696i | −0.969557 | − | 0.244865i | \(-0.921256\pi\) |
0.272719 | − | 0.962094i | \(-0.412077\pi\) | |||||||
\(402\) | 5.90918e12 | + | 1.02350e13i | 0.562855 | + | 0.974894i | ||||
\(403\) | 2.78011e13 | 2.61540 | ||||||||
\(404\) | −4.64871e12 | − | 8.05180e12i | −0.431942 | − | 0.748146i | ||||
\(405\) | 1.29021e12 | − | 7.44900e11i | 0.118409 | − | 0.0683633i | ||||
\(406\) | −1.42271e12 | − | 8.21400e11i | −0.128969 | − | 0.0744602i | ||||
\(407\) | −3.12311e12 | − | 1.80313e12i | −0.279651 | − | 0.161456i | ||||
\(408\) | 3.81739e12 | 0.337650 | ||||||||
\(409\) | 1.55764e13i | 1.36098i | 0.732757 | + | 0.680490i | \(0.238233\pi\) | ||||
−0.732757 | + | 0.680490i | \(0.761767\pi\) | |||||||
\(410\) | 1.19083e12 | − | 2.06258e12i | 0.102785 | − | 0.178029i | ||||
\(411\) | −6.72092e12 | + | 1.16410e13i | −0.573086 | + | 0.992614i | ||||
\(412\) | 8.70242e11 | + | 1.50730e12i | 0.0733084 | + | 0.126974i | ||||
\(413\) | −5.06545e12 | + | 2.92454e12i | −0.421569 | + | 0.243393i | ||||
\(414\) | 2.50827e12i | 0.206240i | ||||||||
\(415\) | −1.44438e12 | + | 8.33912e11i | −0.117338 | + | 0.0677454i | ||||
\(416\) | 1.69766e13 | − | 9.80146e12i | 1.36265 | − | 0.786727i | ||||
\(417\) | −1.72006e13 | + | 9.93076e12i | −1.36415 | + | 0.787594i | ||||
\(418\) | 8.17000e12 | − | 1.41508e13i | 0.640236 | − | 1.10892i | ||||
\(419\) | − | 3.58620e12i | − | 0.277692i | −0.990314 | − | 0.138846i | \(-0.955661\pi\) | ||
0.990314 | − | 0.138846i | \(-0.0443394\pi\) | |||||||
\(420\) | 4.12031e11 | + | 2.37886e11i | 0.0315271 | + | 0.0182022i | ||||
\(421\) | −6.79708e12 | + | 3.92430e12i | −0.513939 | + | 0.296723i | −0.734451 | − | 0.678661i | \(-0.762560\pi\) |
0.220512 | + | 0.975384i | \(0.429227\pi\) | |||||||
\(422\) | −2.38621e13 | −1.78298 | ||||||||
\(423\) | 5.82447e11 | + | 1.00883e12i | 0.0430086 | + | 0.0744930i | ||||
\(424\) | −8.22889e12 | − | 4.75095e12i | −0.600499 | − | 0.346698i | ||||
\(425\) | 5.59402e12 | − | 9.68913e12i | 0.403441 | − | 0.698780i | ||||
\(426\) | − | 6.09723e12i | − | 0.434595i | ||||||
\(427\) | −2.82627e12 | + | 4.89525e12i | −0.199102 | + | 0.344854i | ||||
\(428\) | −1.27939e13 | −0.890811 | ||||||||
\(429\) | − | 1.45089e13i | − | 0.998501i | ||||||
\(430\) | −2.96081e12 | − | 6.64110e10i | −0.201404 | − | 0.00451750i | ||||
\(431\) | −5.68339e12 | −0.382139 | −0.191069 | − | 0.981577i | \(-0.561196\pi\) | ||||
−0.191069 | + | 0.981577i | \(0.561196\pi\) | |||||||
\(432\) | − | 1.92825e13i | − | 1.28158i | ||||||
\(433\) | 1.85136e13 | + | 1.06888e13i | 1.21633 | + | 0.702247i | 0.964131 | − | 0.265429i | \(-0.0855134\pi\) |
0.252197 | + | 0.967676i | \(0.418847\pi\) | |||||||
\(434\) | 1.40745e13 | 0.914079 | ||||||||
\(435\) | 6.15267e11 | + | 3.55224e11i | 0.0395018 | + | 0.0228064i | ||||
\(436\) | −1.99757e12 | + | 3.45988e12i | −0.126785 | + | 0.219598i | ||||
\(437\) | 2.53876e13 | − | 1.46576e13i | 1.59300 | − | 0.919717i | ||||
\(438\) | − | 1.46440e13i | − | 0.908427i | ||||||
\(439\) | −4.08633e12 | − | 7.07773e12i | −0.250617 | − | 0.434082i | 0.713079 | − | 0.701084i | \(-0.247300\pi\) |
−0.963696 | + | 0.267002i | \(0.913967\pi\) | |||||||
\(440\) | −4.29958e11 | + | 7.44709e11i | −0.0260713 | + | 0.0451568i | ||||
\(441\) | 1.60803e12 | 0.0964051 | ||||||||
\(442\) | −2.14287e13 | − | 1.23719e13i | −1.27024 | − | 0.733371i | ||||
\(443\) | 7.62653e12 | + | 1.32095e13i | 0.447001 | + | 0.774228i | 0.998189 | − | 0.0601528i | \(-0.0191588\pi\) |
−0.551188 | + | 0.834381i | \(0.685825\pi\) | |||||||
\(444\) | −2.26242e12 | − | 3.91862e12i | −0.131117 | − | 0.227101i | ||||
\(445\) | 1.12668e12 | + | 1.95147e12i | 0.0645655 | + | 0.111831i | ||||
\(446\) | −2.27747e13 | −1.29056 | ||||||||
\(447\) | −6.94419e12 | − | 1.20277e13i | −0.389120 | − | 0.673976i | ||||
\(448\) | 1.47529e12 | − | 8.51760e11i | 0.0817500 | − | 0.0471984i | ||||
\(449\) | −4.77891e12 | − | 2.75910e12i | −0.261877 | − | 0.151195i | 0.363314 | − | 0.931667i | \(-0.381645\pi\) |
−0.625190 | + | 0.780472i | \(0.714979\pi\) | |||||||
\(450\) | −2.25126e12 | − | 1.29977e12i | −0.122001 | − | 0.0704373i | ||||
\(451\) | −1.46747e13 | −0.786477 | ||||||||
\(452\) | − | 1.47121e13i | − | 0.779800i | ||||||
\(453\) | 1.69137e13 | − | 2.92954e13i | 0.886641 | − | 1.53571i | ||||
\(454\) | −1.16537e13 | + | 2.01848e13i | −0.604206 | + | 1.04652i | ||||
\(455\) | 7.79643e11 | + | 1.35038e12i | 0.0399796 | + | 0.0692467i | ||||
\(456\) | −8.97753e12 | + | 5.18318e12i | −0.455336 | + | 0.262889i | ||||
\(457\) | − | 4.19261e12i | − | 0.210331i | −0.994455 | − | 0.105166i | \(-0.966463\pi\) | ||
0.994455 | − | 0.105166i | \(-0.0335373\pi\) | |||||||
\(458\) | −2.31207e13 | + | 1.33487e13i | −1.14729 | + | 0.662388i | ||||
\(459\) | −1.52907e13 | + | 8.82809e12i | −0.750523 | + | 0.433315i | ||||
\(460\) | 2.64239e12 | − | 1.52559e12i | 0.128295 | − | 0.0740709i | ||||
\(461\) | −1.55764e13 | + | 2.69792e13i | −0.748107 | + | 1.29576i | 0.200622 | + | 0.979669i | \(0.435704\pi\) |
−0.948729 | + | 0.316091i | \(0.897630\pi\) | |||||||
\(462\) | − | 7.34522e12i | − | 0.348976i | ||||||
\(463\) | −1.10333e13 | − | 6.37009e12i | −0.518563 | − | 0.299392i | 0.217784 | − | 0.975997i | \(-0.430117\pi\) |
−0.736346 | + | 0.676605i | \(0.763451\pi\) | |||||||
\(464\) | 7.06072e12 | − | 4.07651e12i | 0.328291 | − | 0.189539i | ||||
\(465\) | −6.08668e12 | −0.279973 | ||||||||
\(466\) | −1.05393e13 | − | 1.82547e13i | −0.479605 | − | 0.830700i | ||||
\(467\) | 3.00497e13 | + | 1.73492e13i | 1.35287 | + | 0.781079i | 0.988650 | − | 0.150234i | \(-0.0480027\pi\) |
0.364219 | + | 0.931313i | \(0.381336\pi\) | |||||||
\(468\) | −1.14726e12 | + | 1.98710e12i | −0.0511012 | + | 0.0885098i | ||||
\(469\) | 7.82595e12i | 0.344884i | ||||||||
\(470\) | 1.77528e12 | − | 3.07487e12i | 0.0774064 | − | 0.134072i | ||||
\(471\) | 1.13343e13 | 0.488980 | ||||||||
\(472\) | − | 1.32645e13i | − | 0.566213i | ||||||
\(473\) | 8.76720e12 | + | 1.60036e13i | 0.370301 | + | 0.675947i | ||||
\(474\) | −6.40826e12 | −0.267823 | ||||||||
\(475\) | 3.03818e13i | 1.25645i | ||||||||
\(476\) | −4.32962e12 | − | 2.49971e12i | −0.177180 | − | 0.102295i | ||||
\(477\) | 4.42402e12 | 0.179154 | ||||||||
\(478\) | 2.99060e13 | + | 1.72662e13i | 1.19845 | + | 0.691923i | ||||
\(479\) | −6.01042e12 | + | 1.04104e13i | −0.238357 | + | 0.412846i | −0.960243 | − | 0.279166i | \(-0.909942\pi\) |
0.721886 | + | 0.692012i | \(0.243275\pi\) | |||||||
\(480\) | −3.71680e12 | + | 2.14590e12i | −0.145869 | + | 0.0842176i | ||||
\(481\) | − | 1.48296e13i | − | 0.575976i | ||||||
\(482\) | −1.00441e13 | − | 1.73969e13i | −0.386079 | − | 0.668708i | ||||
\(483\) | 6.58893e12 | − | 1.14124e13i | 0.250656 | − | 0.434150i | ||||
\(484\) | 7.16154e12 | 0.269637 | ||||||||
\(485\) | −1.84105e12 | − | 1.06293e12i | −0.0686052 | − | 0.0396092i | ||||
\(486\) | 3.89592e12 | + | 6.74792e12i | 0.143691 | + | 0.248879i | ||||
\(487\) | −6.56921e12 | − | 1.13782e13i | −0.239811 | − | 0.415364i | 0.720849 | − | 0.693092i | \(-0.243752\pi\) |
−0.960660 | + | 0.277728i | \(0.910419\pi\) | |||||||
\(488\) | −6.40939e12 | − | 1.11014e13i | −0.231589 | − | 0.401123i | ||||
\(489\) | 2.61796e13 | 0.936308 | ||||||||
\(490\) | −2.45060e12 | − | 4.24456e12i | −0.0867545 | − | 0.150263i | ||||
\(491\) | 1.16197e12 | − | 6.70864e11i | 0.0407181 | − | 0.0235086i | −0.479503 | − | 0.877540i | \(-0.659183\pi\) |
0.520221 | + | 0.854032i | \(0.325850\pi\) | |||||||
\(492\) | −1.59458e13 | − | 9.20629e12i | −0.553120 | − | 0.319344i | ||||
\(493\) | −6.46521e12 | − | 3.73269e12i | −0.221998 | − | 0.128170i | ||||
\(494\) | 6.71930e13 | 2.28396 | ||||||||
\(495\) | − | 4.00371e11i | − | 0.0134721i | ||||||
\(496\) | −3.49250e13 | + | 6.04919e13i | −1.16340 | + | 2.01506i | ||||
\(497\) | 2.01875e12 | − | 3.49658e12i | 0.0665734 | − | 0.115308i | ||||
\(498\) | 1.61537e13 | + | 2.79790e13i | 0.527381 | + | 0.913451i | ||||
\(499\) | −2.28369e13 | + | 1.31849e13i | −0.738132 | + | 0.426161i | −0.821390 | − | 0.570367i | \(-0.806801\pi\) |
0.0832577 | + | 0.996528i | \(0.473468\pi\) | |||||||
\(500\) | 6.40343e12i | 0.204910i | ||||||||
\(501\) | −1.47872e13 | + | 8.53737e12i | −0.468486 | + | 0.270480i | ||||
\(502\) | −3.78032e13 | + | 2.18257e13i | −1.18580 | + | 0.684619i | ||||
\(503\) | 4.28390e13 | − | 2.47331e13i | 1.33045 | − | 0.768137i | 0.345083 | − | 0.938572i | \(-0.387851\pi\) |
0.985369 | + | 0.170435i | \(0.0545174\pi\) | |||||||
\(504\) | 2.93669e11 | − | 5.08650e11i | 0.00903037 | − | 0.0156411i | ||||
\(505\) | 6.67124e12i | 0.203119i | ||||||||
\(506\) | −4.07946e13 | − | 2.35528e13i | −1.22985 | − | 0.710052i | ||||
\(507\) | 2.43303e13 | − | 1.40471e13i | 0.726285 | − | 0.419321i | ||||
\(508\) | 1.93166e13 | 0.570968 | ||||||||
\(509\) | 2.19725e13 | + | 3.80574e13i | 0.643117 | + | 1.11391i | 0.984733 | + | 0.174071i | \(0.0556924\pi\) |
−0.341616 | + | 0.939840i | \(0.610974\pi\) | |||||||
\(510\) | 4.69152e12 | + | 2.70865e12i | 0.135976 | + | 0.0785059i | ||||
\(511\) | 4.84854e12 | − | 8.39791e12i | 0.139157 | − | 0.241028i | ||||
\(512\) | 3.06096e13i | 0.869977i | ||||||||
\(513\) | 2.39732e13 | − | 4.15228e13i | 0.674744 | − | 1.16869i | ||||
\(514\) | −3.64867e13 | −1.01700 | ||||||||
\(515\) | − | 1.24886e12i | − | 0.0344729i | ||||||
\(516\) | −5.13423e11 | + | 2.28900e13i | −0.0140355 | + | 0.625744i | ||||
\(517\) | −2.18769e13 | −0.592288 | ||||||||
\(518\) | − | 7.50757e12i | − | 0.201303i | ||||||
\(519\) | 8.98460e12 | + | 5.18726e12i | 0.238595 | + | 0.137753i | ||||
\(520\) | −3.53613e12 | −0.0930060 | ||||||||
\(521\) | 4.88633e12 | + | 2.82112e12i | 0.127290 | + | 0.0734909i | 0.562293 | − | 0.826938i | \(-0.309919\pi\) |
−0.435003 | + | 0.900429i | \(0.643253\pi\) | |||||||
\(522\) | −8.67288e11 | + | 1.50219e12i | −0.0223775 | + | 0.0387589i | ||||
\(523\) | 5.68102e13 | − | 3.27994e13i | 1.45184 | − | 0.838218i | 0.453250 | − | 0.891383i | \(-0.350264\pi\) |
0.998586 | + | 0.0531656i | \(0.0169311\pi\) | |||||||
\(524\) | 3.63155e13i | 0.919254i | ||||||||
\(525\) | 6.82867e12 | + | 1.18276e13i | 0.171214 | + | 0.296552i | ||||
\(526\) | −4.24440e13 | + | 7.35152e13i | −1.05411 | + | 1.82578i | ||||
\(527\) | 6.39588e13 | 1.57343 | ||||||||
\(528\) | 3.15696e13 | + | 1.82267e13i | 0.769307 | + | 0.444160i | ||||
\(529\) | −2.15422e13 | − | 3.73121e13i | −0.520009 | − | 0.900682i | ||||
\(530\) | −6.74212e12 | − | 1.16777e13i | −0.161219 | − | 0.279240i | ||||
\(531\) | 3.08792e12 | + | 5.34844e12i | 0.0731466 | + | 0.126694i | ||||
\(532\) | 1.35762e13 | 0.318581 | ||||||||
\(533\) | −3.01725e13 | − | 5.22603e13i | −0.701415 | − | 1.21489i | ||||
\(534\) | 3.78018e13 | − | 2.18249e13i | 0.870575 | − | 0.502627i | ||||
\(535\) | 7.95023e12 | + | 4.59007e12i | 0.181389 | + | 0.104725i | ||||
\(536\) | −1.53699e13 | − | 8.87380e12i | −0.347413 | − | 0.200579i | ||||
\(537\) | −3.72055e13 | −0.833175 | ||||||||
\(538\) | − | 7.61513e13i | − | 1.68953i | ||||||
\(539\) | −1.50995e13 | + | 2.61531e13i | −0.331908 | + | 0.574882i | ||||
\(540\) | 2.49517e12 | − | 4.32177e12i | 0.0543416 | − | 0.0941224i | ||||
\(541\) | −2.53038e13 | − | 4.38274e13i | −0.546008 | − | 0.945713i | −0.998543 | − | 0.0539665i | \(-0.982814\pi\) |
0.452535 | − | 0.891747i | \(-0.350520\pi\) | |||||||
\(542\) | −7.55436e13 | + | 4.36151e13i | −1.61511 | + | 0.932482i | ||||
\(543\) | 3.40437e13i | 0.721170i | ||||||||
\(544\) | 3.90561e13 | − | 2.25491e13i | 0.819775 | − | 0.473297i | ||||
\(545\) | 2.48260e12 | − | 1.43333e12i | 0.0516326 | − | 0.0298101i | ||||
\(546\) | 2.61582e13 | − | 1.51024e13i | 0.539069 | − | 0.311232i | ||||
\(547\) | 3.82528e13 | − | 6.62558e13i | 0.781136 | − | 1.35297i | −0.150144 | − | 0.988664i | \(-0.547974\pi\) |
0.931280 | − | 0.364303i | \(-0.118693\pi\) | |||||||
\(548\) | 3.99221e13i | 0.807812i | ||||||||
\(549\) | 5.16873e12 | + | 2.98417e12i | 0.103639 | + | 0.0598359i | ||||
\(550\) | 4.22790e13 | − | 2.44098e13i | 0.840062 | − | 0.485010i | ||||
\(551\) | 2.02727e13 | 0.399166 | ||||||||
\(552\) | 1.49423e13 | + | 2.58808e13i | 0.291556 | + | 0.504989i | ||||
\(553\) | −3.67494e12 | − | 2.12173e12i | −0.0710600 | − | 0.0410265i | ||||
\(554\) | 6.44961e13 | − | 1.11711e14i | 1.23590 | − | 2.14065i | ||||
\(555\) | 3.24674e12i | 0.0616570i | ||||||||
\(556\) | −2.94942e13 | + | 5.10854e13i | −0.555089 | + | 0.961442i | ||||
\(557\) | −6.57906e13 | −1.22712 | −0.613561 | − | 0.789647i | \(-0.710264\pi\) | ||||
−0.613561 | + | 0.789647i | \(0.710264\pi\) | |||||||
\(558\) | − | 1.48608e13i | − | 0.274707i | ||||||
\(559\) | −3.89668e13 | + | 6.41271e13i | −0.713897 | + | 1.17485i | ||||
\(560\) | −3.91769e12 | −0.0711360 | ||||||||
\(561\) | − | 3.33789e13i | − | 0.600701i | ||||||
\(562\) | 1.14547e14 | + | 6.61340e13i | 2.04317 | + | 1.17962i | ||||
\(563\) | 1.03948e14 | 1.83769 | 0.918847 | − | 0.394614i | \(-0.129122\pi\) | ||||
0.918847 | + | 0.394614i | \(0.129122\pi\) | |||||||
\(564\) | −2.37718e13 | − | 1.37246e13i | −0.416549 | − | 0.240495i | ||||
\(565\) | −5.27825e12 | + | 9.14219e12i | −0.0916743 | + | 0.158785i | ||||
\(566\) | 4.46111e13 | − | 2.57562e13i | 0.768000 | − | 0.443405i | ||||
\(567\) | − | 1.91100e13i | − | 0.326095i | ||||||
\(568\) | 4.57809e12 | + | 7.92949e12i | 0.0774360 | + | 0.134123i | ||||
\(569\) | 1.57967e13 | − | 2.73607e13i | 0.264853 | − | 0.458738i | −0.702672 | − | 0.711514i | \(-0.748010\pi\) |
0.967525 | + | 0.252775i | \(0.0813433\pi\) | |||||||
\(570\) | −1.47110e13 | −0.244494 | ||||||||
\(571\) | −1.86693e13 | − | 1.07787e13i | −0.307573 | − | 0.177577i | 0.338267 | − | 0.941050i | \(-0.390159\pi\) |
−0.645840 | + | 0.763473i | \(0.723493\pi\) | |||||||
\(572\) | −2.15456e13 | − | 3.73181e13i | −0.351867 | − | 0.609452i | ||||
\(573\) | −1.46605e13 | − | 2.53927e13i | −0.237342 | − | 0.411088i | ||||
\(574\) | −1.52750e13 | − | 2.64570e13i | −0.245144 | − | 0.424602i | ||||
\(575\) | 8.75858e13 | 1.39346 | ||||||||
\(576\) | −8.99345e11 | − | 1.55771e12i | −0.0141845 | − | 0.0245683i | ||||
\(577\) | −2.46125e13 | + | 1.42100e13i | −0.384837 | + | 0.222186i | −0.679921 | − | 0.733286i | \(-0.737986\pi\) |
0.295084 | + | 0.955471i | \(0.404652\pi\) | |||||||
\(578\) | 2.27740e13 | + | 1.31486e13i | 0.353021 | + | 0.203817i | ||||
\(579\) | −2.36938e13 | − | 1.36796e13i | −0.364117 | − | 0.210223i | ||||
\(580\) | 2.11002e12 | 0.0321475 | ||||||||
\(581\) | 2.13935e13i | 0.323148i | ||||||||
\(582\) | −2.05900e13 | + | 3.56629e13i | −0.308348 | + | 0.534075i | ||||
\(583\) | −4.15419e13 | + | 7.19526e13i | −0.616799 | + | 1.06833i | ||||
\(584\) | 1.09954e13 | + | 1.90447e13i | 0.161863 | + | 0.280356i | ||||
\(585\) | 1.42582e12 | − | 8.23199e11i | 0.0208107 | − | 0.0120150i | ||||
\(586\) | 4.53949e13i | 0.656929i | ||||||||
\(587\) | −1.38882e13 | + | 8.01836e12i | −0.199276 | + | 0.115052i | −0.596318 | − | 0.802748i | \(-0.703370\pi\) |
0.397042 | + | 0.917801i | \(0.370037\pi\) | |||||||
\(588\) | −3.28147e13 | + | 1.89456e13i | −0.466854 | + | 0.269538i | ||||
\(589\) | −1.50415e14 | + | 8.68419e13i | −2.12184 | + | 1.22505i | ||||
\(590\) | 9.41187e12 | − | 1.63018e13i | 0.131648 | − | 0.228022i | ||||
\(591\) | 7.10422e13i | 0.985324i | ||||||||
\(592\) | 3.22674e13 | + | 1.86296e13i | 0.443767 | + | 0.256209i | ||||
\(593\) | −9.79595e13 | + | 5.65569e13i | −1.33590 | + | 0.771281i | −0.986196 | − | 0.165581i | \(-0.947050\pi\) |
−0.349701 | + | 0.936861i | \(0.613717\pi\) | |||||||
\(594\) | −7.70436e13 | −1.04185 | ||||||||
\(595\) | 1.79363e12 | + | 3.10666e12i | 0.0240518 | + | 0.0416590i | ||||
\(596\) | −3.57220e13 | − | 2.06241e13i | −0.475012 | − | 0.274248i | ||||
\(597\) | −2.86310e13 | + | 4.95903e13i | −0.377541 | + | 0.653921i | ||||
\(598\) | − | 1.93707e14i | − | 2.53302i | ||||||
\(599\) | −3.77356e12 | + | 6.53600e12i | −0.0489348 | + | 0.0847575i | −0.889455 | − | 0.457022i | \(-0.848916\pi\) |
0.840520 | + | 0.541780i | \(0.182249\pi\) | |||||||
\(600\) | −3.09719e13 | −0.398302 | ||||||||
\(601\) | − | 3.00634e13i | − | 0.383412i | −0.981452 | − | 0.191706i | \(-0.938598\pi\) | ||
0.981452 | − | 0.191706i | \(-0.0614020\pi\) | |||||||
\(602\) | −1.97272e13 | + | 3.24647e13i | −0.249507 | + | 0.410610i | ||||
\(603\) | 8.26316e12 | 0.103648 | ||||||||
\(604\) | − | 1.00467e14i | − | 1.24979i | ||||||
\(605\) | −4.45022e12 | − | 2.56934e12i | −0.0549041 | − | 0.0316989i | ||||
\(606\) | 1.29228e14 | 1.58123 | ||||||||
\(607\) | −2.03151e13 | − | 1.17290e13i | −0.246534 | − | 0.142336i | 0.371642 | − | 0.928376i | \(-0.378795\pi\) |
−0.618176 | + | 0.786040i | \(0.712128\pi\) | |||||||
\(608\) | −6.12333e13 | + | 1.06059e14i | −0.737003 | + | 1.27653i | ||||
\(609\) | 7.89214e12 | − | 4.55653e12i | 0.0942125 | − | 0.0543936i | ||||
\(610\) | − | 1.81912e13i | − | 0.215384i | ||||||
\(611\) | −4.49809e13 | − | 7.79091e13i | −0.528228 | − | 0.914918i | ||||
\(612\) | −2.63935e12 | + | 4.57150e12i | −0.0307426 | + | 0.0532477i | ||||
\(613\) | −1.83518e12 | −0.0212019 | −0.0106010 | − | 0.999944i | \(-0.503374\pi\) | ||||
−0.0106010 | + | 0.999944i | \(0.503374\pi\) | |||||||
\(614\) | −6.94738e13 | − | 4.01107e13i | −0.796122 | − | 0.459641i | ||||
\(615\) | 6.60585e12 | + | 1.14417e13i | 0.0750850 | + | 0.130051i | ||||
\(616\) | 5.51515e12 | + | 9.55252e12i | 0.0621804 | + | 0.107700i | ||||
\(617\) | −2.29752e13 | − | 3.97942e13i | −0.256941 | − | 0.445035i | 0.708480 | − | 0.705731i | \(-0.249381\pi\) |
−0.965421 | + | 0.260696i | \(0.916048\pi\) | |||||||
\(618\) | −2.41917e13 | −0.268363 | ||||||||
\(619\) | −5.10992e13 | − | 8.85065e13i | −0.562291 | − | 0.973917i | −0.997296 | − | 0.0734887i | \(-0.976587\pi\) |
0.435005 | − | 0.900428i | \(-0.356747\pi\) | |||||||
\(620\) | −1.56554e13 | + | 9.03867e12i | −0.170886 | + | 0.0986611i | ||||
\(621\) | −1.19704e14 | − | 6.91109e13i | −1.29613 | − | 0.748322i | ||||
\(622\) | 6.38293e13 | + | 3.68519e13i | 0.685596 | + | 0.395829i | ||||
\(623\) | 2.89043e13 | 0.307979 | ||||||||
\(624\) | 1.49903e14i | 1.58449i | ||||||||
\(625\) | −4.42235e13 | + | 7.65974e13i | −0.463717 | + | 0.803182i | ||||
\(626\) | −5.62873e13 | + | 9.74924e13i | −0.585516 | + | 1.01414i | ||||
\(627\) | 4.53212e13 | + | 7.84986e13i | 0.467696 | + | 0.810074i | ||||
\(628\) | 2.91528e13 | − | 1.68314e13i | 0.298457 | − | 0.172314i | ||||
\(629\) | − | 3.41167e13i | − | 0.346508i | ||||||
\(630\) | 7.21830e11 | − | 4.16749e11i | 0.00727331 | − | 0.00419925i | ||||
\(631\) | −1.05028e14 | + | 6.06381e13i | −1.04993 | + | 0.606176i | −0.922629 | − | 0.385689i | \(-0.873964\pi\) |
−0.127298 | + | 0.991864i | \(0.540631\pi\) | |||||||
\(632\) | 8.33399e12 | − | 4.81163e12i | 0.0826547 | − | 0.0477207i | ||||
\(633\) | 6.61849e13 | − | 1.14636e14i | 0.651239 | − | 1.12798i | ||||
\(634\) | − | 2.00372e14i | − | 1.95610i | ||||||
\(635\) | −1.20034e13 | − | 6.93019e12i | −0.116262 | − | 0.0671238i | ||||
\(636\) | −9.02802e13 | + | 5.21233e13i | −0.867575 | + | 0.500894i | ||||
\(637\) | −1.24184e14 | −1.18404 | ||||||||
\(638\) | −1.62878e13 | − | 2.82113e13i | −0.154084 | − | 0.266882i | ||||
\(639\) | −3.69192e12 | − | 2.13153e12i | −0.0346535 | − | 0.0200072i | ||||
\(640\) | 6.85460e12 | − | 1.18725e13i | 0.0638384 | − | 0.110571i | ||||
\(641\) | 2.13877e13i | 0.197639i | 0.995105 | + | 0.0988197i | \(0.0315067\pi\) | ||||
−0.995105 | + | 0.0988197i | \(0.968493\pi\) | |||||||
\(642\) | 8.89140e13 | − | 1.54004e14i | 0.815258 | − | 1.41207i | ||||
\(643\) | 1.81057e14 | 1.64725 | 0.823626 | − | 0.567133i | \(-0.191947\pi\) | ||||
0.823626 | + | 0.567133i | \(0.191947\pi\) | |||||||
\(644\) | − | 3.91380e13i | − | 0.353321i | ||||||
\(645\) | 8.53125e12 | − | 1.40398e13i | 0.0764213 | − | 0.125765i | ||||
\(646\) | 1.54583e14 | 1.37404 | ||||||||
\(647\) | − | 4.49325e12i | − | 0.0396314i | −0.999804 | − | 0.0198157i | \(-0.993692\pi\) | ||
0.999804 | − | 0.0198157i | \(-0.00630795\pi\) | |||||||
\(648\) | 3.75312e13 | + | 2.16686e13i | 0.328486 | + | 0.189652i | ||||
\(649\) | −1.15983e14 | −1.00733 | ||||||||
\(650\) | 1.73859e14 | + | 1.00377e14i | 1.49841 | + | 0.865106i | ||||
\(651\) | −3.90375e13 | + | 6.76150e13i | −0.333870 | + | 0.578280i | ||||
\(652\) | 6.73360e13 | − | 3.88765e13i | 0.571491 | − | 0.329951i | ||||
\(653\) | 5.61504e12i | 0.0472919i | 0.999720 | + | 0.0236460i | \(0.00752745\pi\) | ||||
−0.999720 | + | 0.0236460i | \(0.992473\pi\) | |||||||
\(654\) | −2.77649e13 | − | 4.80903e13i | −0.232064 | − | 0.401947i | ||||
\(655\) | 1.30289e13 | − | 2.25666e13i | 0.108069 | − | 0.187180i | ||||
\(656\) | 1.51616e14 | 1.24803 | ||||||||
\(657\) | −8.86707e12 | − | 5.11941e12i | −0.0724358 | − | 0.0418208i | ||||
\(658\) | −2.27718e13 | − | 3.94419e13i | −0.184615 | − | 0.319763i | ||||
\(659\) | 5.94994e13 | + | 1.03056e14i | 0.478724 | + | 0.829174i | 0.999702 | − | 0.0243956i | \(-0.00776614\pi\) |
−0.520978 | + | 0.853570i | \(0.674433\pi\) | |||||||
\(660\) | 4.71712e12 | + | 8.17029e12i | 0.0376667 | + | 0.0652406i | ||||
\(661\) | 6.55469e13 | 0.519451 | 0.259726 | − | 0.965682i | \(-0.416368\pi\) | ||||
0.259726 | + | 0.965682i | \(0.416368\pi\) | |||||||
\(662\) | 2.85763e13 | + | 4.94955e13i | 0.224758 | + | 0.389292i | ||||
\(663\) | 1.18871e14 | − | 6.86301e13i | 0.927914 | − | 0.535731i | ||||
\(664\) | −4.20160e13 | − | 2.42579e13i | −0.325517 | − | 0.187937i | ||||
\(665\) | −8.43632e12 | − | 4.87071e12i | −0.0648701 | − | 0.0374528i | ||||
\(666\) | −7.92699e12 | −0.0604974 | ||||||||
\(667\) | − | 5.84429e13i | − | 0.442693i | ||||||
\(668\) | −2.53558e13 | + | 4.39176e13i | −0.190632 | + | 0.330184i | ||||
\(669\) | 6.31687e13 | − | 1.09411e14i | 0.471380 | − | 0.816455i | ||||
\(670\) | −1.25929e13 | − | 2.18115e13i | −0.0932720 | − | 0.161552i | ||||
\(671\) | −9.70695e13 | + | 5.60431e13i | −0.713625 | + | 0.412012i | ||||
\(672\) | 5.50517e13i | 0.401721i | ||||||||
\(673\) | 5.31156e13 | − | 3.06663e13i | 0.384722 | − | 0.222119i | −0.295149 | − | 0.955451i | \(-0.595369\pi\) |
0.679871 | + | 0.733332i | \(0.262036\pi\) | |||||||
\(674\) | 1.26247e14 | − | 7.28886e13i | 0.907655 | − | 0.524035i | ||||
\(675\) | 1.24059e14 | − | 7.16255e13i | 0.885339 | − | 0.511151i | ||||
\(676\) | 4.17196e13 | − | 7.22604e13i | 0.295533 | − | 0.511879i | ||||
\(677\) | 1.17036e14i | 0.822954i | 0.911420 | + | 0.411477i | \(0.134987\pi\) | ||||
−0.911420 | + | 0.411477i | \(0.865013\pi\) | |||||||
\(678\) | 1.77093e14 | + | 1.02245e14i | 1.23610 | + | 0.713662i | ||||
\(679\) | −2.36155e13 | + | 1.36344e13i | −0.163625 | + | 0.0944687i | ||||
\(680\) | −8.13515e12 | −0.0559527 | ||||||||
\(681\) | −6.46463e13 | − | 1.11971e14i | −0.441376 | − | 0.764485i | ||||
\(682\) | 2.41697e14 | + | 1.39544e14i | 1.63813 | + | 0.945776i | ||||
\(683\) | −8.62976e13 | + | 1.49472e14i | −0.580624 | + | 1.00567i | 0.414781 | + | 0.909921i | \(0.363858\pi\) |
−0.995405 | + | 0.0957495i | \(0.969475\pi\) | |||||||
\(684\) | − | 1.43346e13i | − | 0.0957428i | ||||||
\(685\) | 1.43228e13 | − | 2.48078e13i | 0.0949674 | − | 0.164488i | ||||
\(686\) | −1.35863e14 | −0.894294 | ||||||||
\(687\) | − | 1.48098e14i | − | 0.967756i | ||||||
\(688\) | −9.05810e13 | − | 1.65346e14i | −0.587618 | − | 1.07264i | ||||
\(689\) | −3.41655e14 | −2.20035 | ||||||||
\(690\) | 4.24095e13i | 0.271155i | ||||||||
\(691\) | 2.13896e14 | + | 1.23493e14i | 1.35773 | + | 0.783883i | 0.989317 | − | 0.145781i | \(-0.0465694\pi\) |
0.368409 | + | 0.929664i | \(0.379903\pi\) | |||||||
\(692\) | 3.08122e13 | 0.194174 | ||||||||
\(693\) | −4.44759e12 | − | 2.56782e12i | −0.0278265 | − | 0.0160656i | ||||
\(694\) | −1.24352e14 | + | 2.15384e14i | −0.772425 | + | 1.33788i | ||||
\(695\) | 3.66557e13 | − | 2.11632e13i | 0.226057 | − | 0.130514i | ||||
\(696\) | 2.06665e13i | 0.126538i | ||||||||
\(697\) | −6.94142e13 | − | 1.20229e14i | −0.421973 | − | 0.730879i | ||||
\(698\) | −1.30311e14 | + | 2.25705e14i | −0.786509 | + | 1.36227i | ||||
\(699\) | 1.16929e14 | 0.700708 | ||||||||
\(700\) | 3.51278e13 | + | 2.02810e13i | 0.209007 | + | 0.120670i | ||||
\(701\) | −8.31881e13 | − | 1.44086e14i | −0.491441 | − | 0.851201i | 0.508510 | − | 0.861056i | \(-0.330196\pi\) |
−0.999951 | + | 0.00985507i | \(0.996863\pi\) | |||||||
\(702\) | −1.58409e14 | − | 2.74372e14i | −0.929166 | − | 1.60936i | ||||
\(703\) | 4.63229e13 | + | 8.02336e13i | 0.269786 | + | 0.467283i | ||||
\(704\) | 3.37796e13 | 0.195340 | ||||||||
\(705\) | 9.84795e12 | + | 1.70571e13i | 0.0565458 | + | 0.0979401i | ||||
\(706\) | 1.25181e14 | − | 7.22732e13i | 0.713698 | − | 0.412054i | ||||
\(707\) | 7.41087e13 | + | 4.27867e13i | 0.419539 | + | 0.242221i | ||||
\(708\) | −1.26029e14 | − | 7.27631e13i | −0.708444 | − | 0.409020i | ||||
\(709\) | 2.23812e14 | 1.24926 | 0.624630 | − | 0.780921i | \(-0.285250\pi\) | ||||
0.624630 | + | 0.780921i | \(0.285250\pi\) | |||||||
\(710\) | 1.29936e13i | 0.0720176i | ||||||||
\(711\) | −2.24026e12 | + | 3.88025e12i | −0.0123297 | + | 0.0213556i | ||||
\(712\) | −3.27743e13 | + | 5.67668e13i | −0.179116 | + | 0.310238i | ||||
\(713\) | 2.50351e14 | + | 4.33621e14i | 1.35863 | + | 2.35322i | ||||
\(714\) | 6.01790e13 | − | 3.47444e13i | 0.324305 | − | 0.187238i | ||||
\(715\) | 3.09196e13i | 0.165464i | ||||||||
\(716\) | −9.56956e13 | + | 5.52499e13i | −0.508542 | + | 0.293607i | ||||
\(717\) | −1.65897e14 | + | 9.57804e13i | −0.875471 | + | 0.505453i | ||||
\(718\) | −1.07991e14 | + | 6.23487e13i | −0.565934 | + | 0.326742i | ||||
\(719\) | 2.90709e12 | − | 5.03523e12i | 0.0151292 | − | 0.0262045i | −0.858362 | − | 0.513045i | \(-0.828517\pi\) |
0.873491 | + | 0.486841i | \(0.161851\pi\) | |||||||
\(720\) | 4.13655e12i | 0.0213784i | ||||||||
\(721\) | −1.38732e13 | − | 8.00969e12i | −0.0712033 | − | 0.0411092i | ||||
\(722\) | −1.44351e14 | + | 8.33413e13i | −0.735758 | + | 0.424790i | ||||
\(723\) | 1.11435e14 | 0.564065 | ||||||||
\(724\) | 5.05546e13 | + | 8.75631e13i | 0.254137 | + | 0.440178i | ||||
\(725\) | 5.24547e13 | + | 3.02847e13i | 0.261875 | + | 0.151194i | ||||
\(726\) | −4.97705e13 | + | 8.62051e13i | −0.246768 | + | 0.427415i | ||||
\(727\) | 8.89153e13i | 0.437829i | 0.975744 | + | 0.218914i | \(0.0702516\pi\) | ||||
−0.975744 | + | 0.218914i | \(0.929748\pi\) | |||||||
\(728\) | −2.26793e13 | + | 3.92817e13i | −0.110910 | + | 0.192103i | ||||
\(729\) | −2.23489e14 | −1.08547 | ||||||||
\(730\) | 3.12075e13i | 0.150537i | ||||||||
\(731\) | −8.96463e13 | + | 1.47530e14i | −0.429483 | + | 0.706793i | ||||
\(732\) | −1.40636e14 | −0.669179 | ||||||||
\(733\) | − | 3.44081e14i | − | 1.62608i | −0.582210 | − | 0.813039i | \(-0.697812\pi\) | ||
0.582210 | − | 0.813039i | \(-0.302188\pi\) | |||||||
\(734\) | 1.75634e14 | + | 1.01402e14i | 0.824380 | + | 0.475956i | ||||
\(735\) | 2.71883e13 | 0.126749 | ||||||||
\(736\) | 3.05752e14 | + | 1.76526e14i | 1.41573 | + | 0.817371i | ||||
\(737\) | −7.75917e13 | + | 1.34393e14i | −0.356843 | + | 0.618071i | ||||
\(738\) | −2.79351e13 | + | 1.61283e13i | −0.127605 | + | 0.0736729i | ||||
\(739\) | − | 3.60864e14i | − | 1.63727i | −0.574313 | − | 0.818636i | \(-0.694731\pi\) | ||
0.574313 | − | 0.818636i | \(-0.305269\pi\) | |||||||
\(740\) | 4.82138e12 | + | 8.35087e12i | 0.0217276 | + | 0.0376334i | ||||
\(741\) | −1.86369e14 | + | 3.22801e14i | −0.834224 | + | 1.44492i | ||||
\(742\) | −1.72965e14 | −0.769022 | ||||||||
\(743\) | −4.82486e13 | − | 2.78563e13i | −0.213079 | − | 0.123021i | 0.389663 | − | 0.920958i | \(-0.372592\pi\) |
−0.602741 | + | 0.797937i | \(0.705925\pi\) | |||||||
\(744\) | −8.85287e13 | − | 1.53336e14i | −0.388347 | − | 0.672636i | ||||
\(745\) | 1.47986e13 | + | 2.56319e13i | 0.0644820 | + | 0.111686i | ||||
\(746\) | −7.33669e13 | − | 1.27075e14i | −0.317546 | − | 0.550005i | ||||
\(747\) | 2.25887e13 | 0.0971153 | ||||||||
\(748\) | −4.95674e13 | − | 8.58533e13i | −0.211684 | − | 0.366648i | ||||
\(749\) | 1.01979e14 | − | 5.88777e13i | 0.432615 | − | 0.249771i | ||||
\(750\) | −7.70795e13 | − | 4.45019e13i | −0.324813 | − | 0.187531i | ||||
\(751\) | 3.05212e14 | + | 1.76214e14i | 1.27762 | + | 0.737636i | 0.976411 | − | 0.215922i | \(-0.0692756\pi\) |
0.301212 | + | 0.953557i | \(0.402609\pi\) | |||||||
\(752\) | 2.26028e14 | 0.939880 | ||||||||
\(753\) | − | 2.42146e14i | − | 1.00024i | ||||||
\(754\) | 6.69783e13 | − | 1.16010e14i | 0.274839 | − | 0.476034i | ||||
\(755\) | −3.60444e13 | + | 6.24307e13i | −0.146927 | + | 0.254486i | ||||
\(756\) | −3.20061e13 | − | 5.54362e13i | −0.129606 | − | 0.224483i | ||||
\(757\) | 7.71255e13 | − | 4.45284e13i | 0.310255 | − | 0.179126i | −0.336786 | − | 0.941581i | \(-0.609340\pi\) |
0.647041 | + | 0.762456i | \(0.276006\pi\) | |||||||
\(758\) | 9.23522e13i | 0.369063i | ||||||||
\(759\) | 2.26299e14 | − | 1.30654e14i | 0.898409 | − | 0.518697i | ||||
\(760\) | 1.91318e13 | − | 1.10457e13i | 0.0754548 | − | 0.0435639i | ||||
\(761\) | 4.02739e14 | − | 2.32521e14i | 1.57797 | − | 0.911044i | 0.582833 | − | 0.812592i | \(-0.301944\pi\) |
0.995142 | − | 0.0984520i | \(-0.0313891\pi\) | |||||||
\(762\) | −1.34244e14 | + | 2.32518e14i | −0.522542 | + | 0.905070i | ||||
\(763\) | − | 3.67711e13i | − | 0.142195i | ||||||
\(764\) | −7.54158e13 | − | 4.35413e13i | −0.289731 | − | 0.167276i | ||||
\(765\) | 3.28022e12 | − | 1.89384e12i | 0.0125197 | − | 0.00722828i | ||||
\(766\) | 1.29125e13 | 0.0489627 | ||||||||
\(767\) | −2.38472e14 | − | 4.13046e14i | −0.898382 | − | 1.55604i | ||||
\(768\) | −2.85247e14 | − | 1.64687e14i | −1.06761 | − | 0.616388i | ||||
\(769\) | −1.57187e14 | + | 2.72256e14i | −0.584500 | + | 1.01238i | 0.410438 | + | 0.911889i | \(0.365376\pi\) |
−0.994938 | + | 0.100495i | \(0.967957\pi\) | |||||||
\(770\) | 1.56532e13i | 0.0578295i | ||||||||
\(771\) | 1.01201e14 | − | 1.75285e14i | 0.371461 | − | 0.643389i | ||||
\(772\) | −8.12564e13 | −0.296327 | ||||||||
\(773\) | 1.44957e14i | 0.525220i | 0.964902 | + | 0.262610i | \(0.0845832\pi\) | ||||
−0.964902 | + | 0.262610i | \(0.915417\pi\) | |||||||
\(774\) | 3.42784e13 | + | 2.08292e13i | 0.123400 | + | 0.0749840i | ||||
\(775\) | −5.18921e14 | −1.85606 | ||||||||
\(776\) | − | 6.18399e13i | − | 0.219766i | ||||||
\(777\) | 3.60670e13 | + | 2.08233e13i | 0.127352 | + | 0.0735265i | ||||
\(778\) | 2.55132e14 | 0.895091 | ||||||||
\(779\) | 3.26489e14 | + | 1.88498e14i | 1.13810 | + | 0.657083i | ||||
\(780\) | −1.93976e13 | + | 3.35977e13i | −0.0671856 | + | 0.116369i | ||||
\(781\) | 6.93347e13 | − | 4.00304e13i | 0.238614 | − | 0.137764i | ||||
\(782\) | − | 4.45638e14i | − | 1.52387i | ||||||
\(783\) | −4.77932e13 | − | 8.27802e13i | −0.162389 | − | 0.281266i | ||||
\(784\) | 1.56005e14 | − | 2.70208e14i | 0.526693 | − | 0.912259i | ||||
\(785\) | −2.41543e13 | −0.0810300 | ||||||||
\(786\) | −4.37138e14 | − | 2.52382e14i | −1.45715 | − | 0.841288i | ||||
\(787\) | −9.35170e13 | − | 1.61976e14i | −0.309754 | − | 0.536509i | 0.668555 | − | 0.743663i | \(-0.266913\pi\) |
−0.978308 | + | 0.207154i | \(0.933580\pi\) | |||||||
\(788\) | 1.05497e14 | + | 1.82726e14i | 0.347223 | + | 0.601409i | ||||
\(789\) | −2.35449e14 | − | 4.07809e14i | −0.770036 | − | 1.33374i | ||||
\(790\) | 1.36565e13 | 0.0443816 | ||||||||
\(791\) | 6.77051e13 | + | 1.17269e14i | 0.218645 | + | 0.378704i | ||||
\(792\) | 1.00862e13 | − | 5.82326e12i | 0.0323669 | − | 0.0186870i | ||||
\(793\) | −3.99167e14 | − | 2.30459e14i | −1.27288 | − | 0.734900i | ||||
\(794\) | −2.63857e14 | − | 1.52338e14i | −0.836114 | − | 0.482731i | ||||
\(795\) | 7.48008e13 | 0.235543 | ||||||||
\(796\) | 1.70067e14i | 0.532175i | ||||||||
\(797\) | 1.01245e14 | − | 1.75361e14i | 0.314833 | − | 0.545307i | −0.664569 | − | 0.747227i | \(-0.731385\pi\) |
0.979402 | + | 0.201920i | \(0.0647181\pi\) | |||||||
\(798\) | −9.43503e13 | + | 1.63420e14i | −0.291561 | + | 0.504998i | ||||
\(799\) | −1.03482e14 | − | 1.79236e14i | −0.317783 | − | 0.550417i | ||||
\(800\) | −3.16877e14 | + | 1.82949e14i | −0.967031 | + | 0.558316i | ||||
\(801\) | − | 3.05190e13i | − | 0.0925568i | ||||||
\(802\) | 5.16611e14 | − | 2.98266e14i | 1.55701 | − | 0.898941i | ||||
\(803\) | 1.66525e14 | − | 9.61431e13i | 0.498771 | − | 0.287966i | ||||
\(804\) | −1.68625e14 | + | 9.73555e13i | −0.501928 | + | 0.289788i | ||||
\(805\) | −1.40415e13 | + | 2.43206e13i | −0.0415368 | + | 0.0719439i | ||||
\(806\) | 1.14766e15i | 3.37394i | ||||||||
\(807\) | 3.65837e14 | + | 2.11216e14i | 1.06886 | + | 0.617105i | ||||
\(808\) | −1.68063e14 | + | 9.70310e13i | −0.487994 | + | 0.281743i | ||||
\(809\) | 3.97708e13 | 0.114768 | 0.0573841 | − | 0.998352i | \(-0.481724\pi\) | ||||
0.0573841 | + | 0.998352i | \(0.481724\pi\) | |||||||
\(810\) | 3.07502e13 | + | 5.32609e13i | 0.0881907 | + | 0.152751i | ||||
\(811\) | 1.15683e14 | + | 6.67894e13i | 0.329734 | + | 0.190372i | 0.655723 | − | 0.755001i | \(-0.272364\pi\) |
−0.325989 | + | 0.945374i | \(0.605697\pi\) | |||||||
\(812\) | 1.35328e13 | − | 2.34395e13i | 0.0383361 | − | 0.0664001i | ||||
\(813\) | − | 4.83890e14i | − | 1.36237i | ||||||
\(814\) | 7.44349e13 | − | 1.28925e14i | 0.208283 | − | 0.360758i | ||||
\(815\) | −5.57906e13 | −0.155158 | ||||||||
\(816\) | 3.44865e14i | 0.953230i | ||||||||
\(817\) | 1.05123e13 | − | 4.68671e14i | 0.0288794 | − | 1.28753i | ||||
\(818\) | −6.43010e14 | −1.75570 | ||||||||
\(819\) | − | 2.11186e13i | − | 0.0573121i | ||||||
\(820\) | 3.39816e13 | + | 1.96193e13i | 0.0916588 | + | 0.0529192i | ||||
\(821\) | −8.20655e13 | −0.220011 | −0.110006 | − | 0.993931i | \(-0.535087\pi\) | ||||
−0.110006 | + | 0.993931i | \(0.535087\pi\) | |||||||
\(822\) | −4.80551e14 | − | 2.77446e14i | −1.28050 | − | 0.739298i | ||||
\(823\) | −3.08523e14 | + | 5.34378e14i | −0.817125 | + | 1.41530i | 0.0906665 | + | 0.995881i | \(0.471100\pi\) |
−0.907792 | + | 0.419421i | \(0.862233\pi\) | |||||||
\(824\) | 3.14614e13 | − | 1.81643e13i | 0.0828214 | − | 0.0478170i | ||||
\(825\) | 2.70816e14i | 0.708605i | ||||||||
\(826\) | −1.20728e14 | − | 2.09107e14i | −0.313984 | − | 0.543836i | ||||
\(827\) | 1.68003e14 | − | 2.90990e14i | 0.434300 | − | 0.752230i | −0.562938 | − | 0.826499i | \(-0.690329\pi\) |
0.997238 | + | 0.0742694i | \(0.0236625\pi\) | |||||||
\(828\) | −4.13245e13 | −0.106183 | ||||||||
\(829\) | 3.52710e14 | + | 2.03637e14i | 0.900836 | + | 0.520098i | 0.877471 | − | 0.479629i | \(-0.159229\pi\) |
0.0233644 | + | 0.999727i | \(0.492562\pi\) | |||||||
\(830\) | −3.44247e13 | − | 5.96253e13i | −0.0873935 | − | 0.151370i | ||||
\(831\) | 3.57778e14 | + | 6.19689e14i | 0.902834 | + | 1.56375i | ||||
\(832\) | 6.94540e13 | + | 1.20298e14i | 0.174213 | + | 0.301746i | ||||
\(833\) | −2.85694e14 | −0.712322 | ||||||||
\(834\) | −4.09951e14 | − | 7.10056e14i | −1.01602 | − | 1.75980i | ||||
\(835\) | 3.15125e13 | − | 1.81938e13i | 0.0776338 | − | 0.0448219i | ||||
\(836\) | 2.33140e14 | + | 1.34603e14i | 0.570932 | + | 0.329628i | ||||
\(837\) | 7.09210e14 | + | 4.09462e14i | 1.72642 | + | 0.996751i | ||||
\(838\) | 1.48042e14 | 0.358231 | ||||||||
\(839\) | 4.31542e14i | 1.03804i | 0.854762 | + | 0.519019i | \(0.173703\pi\) | ||||
−0.854762 | + | 0.519019i | \(0.826297\pi\) | |||||||
\(840\) | 4.96532e12 | − | 8.60019e12i | 0.0118727 | − | 0.0205642i | ||||
\(841\) | −1.90146e14 | + | 3.29342e14i | −0.451967 | + | 0.782829i | ||||
\(842\) | −1.61999e14 | − | 2.80590e14i | −0.382781 | − | 0.662997i | ||||
\(843\) | −6.35426e14 | + | 3.66864e14i | −1.49254 | + | 0.861721i | ||||
\(844\) | − | 3.93136e14i | − | 0.917974i | ||||||
\(845\) | −5.18495e13 | + | 2.99353e13i | −0.120354 | + | 0.0694866i | ||||
\(846\) | −4.16454e13 | + | 2.40440e13i | −0.0960982 | + | 0.0554823i | ||||
\(847\) | −5.70838e13 | + | 3.29574e13i | −0.130947 | + | 0.0756023i | ||||
\(848\) | 4.29202e14 | − | 7.43400e14i | 0.978775 | − | 1.69529i | ||||
\(849\) | 2.85754e14i | 0.647819i | ||||||||
\(850\) | 3.99976e14 | + | 2.30927e14i | 0.901446 | + | 0.520450i | ||||
\(851\) | 2.31301e14 | − | 1.33542e14i | 0.518238 | − | 0.299205i | ||||
\(852\) | 1.00454e14 | 0.223752 | ||||||||
\(853\) | 6.51033e13 | + | 1.12762e14i | 0.144164 | + | 0.249700i | 0.929061 | − | 0.369927i | \(-0.120617\pi\) |
−0.784897 | + | 0.619627i | \(0.787284\pi\) | |||||||
\(854\) | −2.02081e14 | − | 1.16671e14i | −0.444872 | − | 0.256847i | ||||
\(855\) | −5.14282e12 | + | 8.90762e12i | −0.0112556 | + | 0.0194954i | ||||
\(856\) | 2.67044e14i | 0.581050i | ||||||||
\(857\) | 1.89058e14 | − | 3.27459e14i | 0.408970 | − | 0.708357i | −0.585804 | − | 0.810452i | \(-0.699221\pi\) |
0.994775 | + | 0.102095i | \(0.0325547\pi\) | |||||||
\(858\) | 5.98942e14 | 1.28810 | ||||||||
\(859\) | 2.87173e14i | 0.614014i | 0.951707 | + | 0.307007i | \(0.0993275\pi\) | ||||
−0.951707 | + | 0.307007i | \(0.900673\pi\) | |||||||
\(860\) | 1.09414e12 | − | 4.87802e13i | 0.00232585 | − | 0.103694i | ||||
\(861\) | 1.69469e14 | 0.358158 | ||||||||
\(862\) | − | 2.34616e14i | − | 0.492970i | ||||||
\(863\) | 1.18530e14 | + | 6.84331e13i | 0.247613 | + | 0.142959i | 0.618671 | − | 0.785651i | \(-0.287672\pi\) |
−0.371058 | + | 0.928610i | \(0.621005\pi\) | |||||||
\(864\) | 5.77434e14 | 1.19932 | ||||||||
\(865\) | −1.91468e13 | − | 1.10544e13i | −0.0395382 | − | 0.0228274i | ||||
\(866\) | −4.41244e14 | + | 7.64258e14i | −0.905920 | + | 1.56910i | ||||
\(867\) | −1.26334e14 | + | 7.29389e13i | −0.257884 | + | 0.148889i | ||||
\(868\) | 2.31881e14i | 0.470617i | ||||||||
\(869\) | −4.20725e13 | − | 7.28716e13i | −0.0848983 | − | 0.147048i | ||||
\(870\) | −1.46640e13 | + | 2.53988e13i | −0.0294209 | + | 0.0509585i | ||||
\(871\) | −6.38142e14 | −1.27299 | ||||||||
\(872\) | 7.22171e13 | + | 4.16945e13i | 0.143238 | + | 0.0826983i | ||||
\(873\) | 1.43961e13 | + | 2.49348e13i | 0.0283906 | + | 0.0491739i | ||||
\(874\) | 6.05078e14 | + | 1.04803e15i | 1.18646 | + | 2.05501i | ||||
\(875\) | −2.94685e13 | − | 5.10410e13i | −0.0574538 | − | 0.0995128i | ||||
\(876\) | 2.41265e14 | 0.467707 | ||||||||
\(877\) | −2.03720e14 | − | 3.52854e14i | −0.392678 | − | 0.680139i | 0.600124 | − | 0.799907i | \(-0.295118\pi\) |
−0.992802 | + | 0.119769i | \(0.961785\pi\) | |||||||
\(878\) | 2.92175e14 | − | 1.68687e14i | 0.559978 | − | 0.323303i | ||||
\(879\) | −2.18081e14 | − | 1.25909e14i | −0.415597 | − | 0.239945i | ||||
\(880\) | −6.72772e13 | − | 3.88425e13i | −0.127484 | − | 0.0736027i | ||||
\(881\) | 7.33588e14 | 1.38221 | 0.691103 | − | 0.722756i | \(-0.257125\pi\) | ||||
0.691103 | + | 0.722756i | \(0.257125\pi\) | |||||||
\(882\) | 6.63808e13i | 0.124365i | ||||||||
\(883\) | −2.25881e14 | + | 3.91237e14i | −0.420800 | + | 0.728848i | −0.996018 | − | 0.0891527i | \(-0.971584\pi\) |
0.575217 | + | 0.818001i | \(0.304917\pi\) | |||||||
\(884\) | 2.03830e14 | − | 3.53044e14i | 0.377579 | − | 0.653985i | ||||
\(885\) | 5.22102e13 | + | 9.04308e13i | 0.0961699 | + | 0.166571i | ||||
\(886\) | −5.45302e14 | + | 3.14830e14i | −0.998777 | + | 0.576644i | ||||
\(887\) | 4.43313e14i | 0.807406i | 0.914890 | + | 0.403703i | \(0.132277\pi\) | ||||
−0.914890 | + | 0.403703i | \(0.867723\pi\) | |||||||
\(888\) | −8.17922e13 | + | 4.72227e13i | −0.148131 | + | 0.0855236i | ||||
\(889\) | −1.53970e14 | + | 8.88948e13i | −0.277286 | + | 0.160091i | ||||
\(890\) | −8.05584e13 | + | 4.65104e13i | −0.144265 | + | 0.0832914i | ||||
\(891\) | 1.89469e14 | − | 3.28169e14i | 0.337403 | − | 0.584399i | ||||
\(892\) | − | 3.75220e14i | − | 0.664449i | ||||||
\(893\) | 4.86726e14 | + | 2.81012e14i | 0.857092 | + | 0.494842i | ||||
\(894\) | 4.96514e14 | − | 2.86663e14i | 0.869449 | − | 0.501976i | ||||
\(895\) | 7.92877e13 | 0.138067 | ||||||||
\(896\) | −8.79252e13 | − | 1.52291e14i | −0.152256 | − | 0.263714i | ||||
\(897\) | 9.30583e14 | + | 5.37272e14i | 1.60248 | + | 0.925193i | ||||
\(898\) | 1.13898e14 | − | 1.97278e14i | 0.195046 | − | 0.337829i | ||||
\(899\) | 3.46258e14i | 0.589659i | ||||||||
\(900\) | 2.14141e13 | − | 3.70902e13i | 0.0362649 | − | 0.0628126i | ||||
\(901\) | −7.86006e14 | −1.32374 | ||||||||
\(902\) | − | 6.05785e14i | − | 1.01458i | ||||||
\(903\) | −1.01247e14 | − | 1.84816e14i | −0.168634 | − | 0.307823i | ||||
\(904\) | −3.07081e14 | −0.508641 | ||||||||
\(905\) | − | 7.25496e13i | − | 0.119507i | ||||||
\(906\) | 1.20934e15 | + | 6.98214e14i | 1.98111 | + | 1.14379i | ||||
\(907\) | 1.08213e15 | 1.76296 | 0.881480 | − | 0.472222i | \(-0.156548\pi\) | ||||
0.881480 | + | 0.472222i | \(0.156548\pi\) | |||||||
\(908\) | −3.32551e14 | − | 1.91998e14i | −0.538802 | − | 0.311077i | ||||
\(909\) | 4.51770e13 | − | 7.82488e13i | 0.0727944 | − | 0.126084i | ||||
\(910\) | −5.57450e13 | + | 3.21844e13i | −0.0893303 | + | 0.0515749i | ||||
\(911\) | − | 1.07746e15i | − | 1.71716i | −0.512680 | − | 0.858580i | \(-0.671347\pi\) | ||
0.512680 | − | 0.858580i | \(-0.328653\pi\) | |||||||
\(912\) | −4.68250e14 | − | 8.11032e14i | −0.742170 | − | 1.28548i | ||||
\(913\) | −2.12109e14 | + | 3.67384e14i | −0.334353 | + | 0.579117i | ||||
\(914\) | 1.73075e14 | 0.271333 | ||||||||
\(915\) | 8.73922e13 | + | 5.04559e13i | 0.136260 | + | 0.0786696i | ||||
\(916\) | −2.19924e14 | − | 3.80920e14i | −0.341033 | − | 0.590686i | ||||
\(917\) | −1.67124e14 | − | 2.89467e14i | −0.257746 | − | 0.446428i | ||||
\(918\) | −3.64432e14 | − | 6.31214e14i | −0.558989 | − | 0.968197i | ||||
\(919\) | −8.98793e14 | −1.37114 | −0.685570 | − | 0.728006i | \(-0.740447\pi\) | ||||
−0.685570 | + | 0.728006i | \(0.740447\pi\) | |||||||
\(920\) | −3.18431e13 | − | 5.51538e13i | −0.0483143 | − | 0.0836829i | ||||
\(921\) | 3.85390e14 | − | 2.22505e14i | 0.581571 | − | 0.335770i | ||||
\(922\) | −1.11373e15 | − | 6.43010e14i | −1.67157 | − | 0.965080i | ||||
\(923\) | 2.85117e14 | + | 1.64612e14i | 0.425613 | + | 0.245728i | ||||
\(924\) | 1.21015e14 | 0.179671 | ||||||||
\(925\) | 2.76801e14i | 0.408752i | ||||||||
\(926\) | 2.62963e14 | − | 4.55466e14i | 0.386225 | − | 0.668961i | ||||
\(927\) | −8.45716e12 | + | 1.46482e13i | −0.0123545 | + | 0.0213987i | ||||
\(928\) | 1.22075e14 | + | 2.11441e14i | 0.177373 | + | 0.307219i | ||||
\(929\) | 5.62170e14 | − | 3.24569e14i | 0.812436 | − | 0.469060i | −0.0353654 | − | 0.999374i | \(-0.511260\pi\) |
0.847801 | + | 0.530315i | \(0.177926\pi\) | |||||||
\(930\) | − | 2.51264e14i | − | 0.361173i | ||||||
\(931\) | 6.71879e14 | − | 3.87909e14i | 0.960600 | − | 0.554603i | ||||
\(932\) | 3.00751e14 | − | 1.73639e14i | 0.427689 | − | 0.246926i | ||||
\(933\) | −3.54079e14 | + | 2.04427e14i | −0.500831 | + | 0.289155i | ||||
\(934\) | −7.16192e14 | + | 1.24048e15i | −1.00762 | + | 1.74524i | ||||
\(935\) | 7.11330e13i | 0.0995435i | ||||||||
\(936\) | 4.14762e13 | + | 2.39463e13i | 0.0577324 | + | 0.0333318i | ||||
\(937\) | −7.61807e13 | + | 4.39830e13i | −0.105474 | + | 0.0608957i | −0.551809 | − | 0.833970i | \(-0.686062\pi\) |
0.446335 | + | 0.894866i | \(0.352729\pi\) | |||||||
\(938\) | −3.23063e14 | −0.444911 | ||||||||
\(939\) | −3.12241e14 | − | 5.40817e14i | −0.427722 | − | 0.740837i | ||||
\(940\) | 5.06594e13 | + | 2.92482e13i | 0.0690273 | + | 0.0398529i | ||||
\(941\) | −5.34577e14 | + | 9.25914e14i | −0.724540 | + | 1.25494i | 0.234624 | + | 0.972086i | \(0.424614\pi\) |
−0.959163 | + | 0.282853i | \(0.908719\pi\) | |||||||
\(942\) | 4.67892e14i | 0.630799i | ||||||||
\(943\) | 5.43411e14 | − | 9.41215e14i | 0.728735 | − | 1.26221i | ||||
\(944\) | 1.19832e15 | 1.59850 | ||||||||
\(945\) | 4.59311e13i | 0.0609464i | ||||||||
\(946\) | −6.60645e14 | + | 3.61918e14i | −0.871992 | + | 0.477700i | ||||
\(947\) | −7.38165e14 | −0.969179 | −0.484589 | − | 0.874742i | \(-0.661031\pi\) | ||||
−0.484589 | + | 0.874742i | \(0.661031\pi\) | |||||||
\(948\) | − | 1.05578e14i | − | 0.137890i | ||||||
\(949\) | 6.84780e14 | + | 3.95358e14i | 0.889652 | + | 0.513641i | ||||
\(950\) | −1.25419e15 | −1.62086 | ||||||||
\(951\) | 9.62605e14 | + | 5.55760e14i | 1.23750 | + | 0.714471i | ||||
\(952\) | −5.21755e13 | + | 9.03707e13i | −0.0667240 | + | 0.115569i | ||||
\(953\) | −2.50088e14 | + | 1.44389e14i | −0.318148 | + | 0.183683i | −0.650567 | − | 0.759449i | \(-0.725469\pi\) |
0.332419 | + | 0.943132i | \(0.392135\pi\) | |||||||
\(954\) | 1.82628e14i | 0.231113i | ||||||||
\(955\) | 3.12425e13 | + | 5.41136e13i | 0.0393305 | + | 0.0681224i | ||||
\(956\) | −2.84466e14 | + | 4.92710e14i | −0.356239 | + | 0.617024i | ||||
\(957\) | 1.80706e14 | 0.225119 | ||||||||
\(958\) | −4.29749e14 | − | 2.48116e14i | −0.532583 | − | 0.307487i | ||||
\(959\) | −1.83721e14 | − | 3.18214e14i | −0.226499 | − | 0.392307i | ||||
\(960\) | −1.52060e13 | − | 2.63376e13i | −0.0186492 | − | 0.0323013i | ||||
\(961\) | −1.07345e15 | − | 1.85926e15i | −1.30967 | − | 2.26842i | ||||
\(962\) | 6.12180e14 | 0.743025 | ||||||||
\(963\) | −6.21669e13 | − | 1.07676e14i | −0.0750634 | − | 0.130014i | ||||
\(964\) | 2.86619e14 | − | 1.65480e14i | 0.344287 | − | 0.198774i | ||||
\(965\) | 5.04932e13 | + | 2.91522e13i | 0.0603387 | + | 0.0348366i | ||||
\(966\) | 4.71113e14 | + | 2.71997e14i | 0.560066 | + | 0.323354i | ||||
\(967\) | −1.51813e15 | −1.79546 | −0.897730 | − | 0.440546i | \(-0.854785\pi\) | ||||
−0.897730 | + | 0.440546i | \(0.854785\pi\) | |||||||
\(968\) | − | 1.49480e14i | − | 0.175876i | ||||||
\(969\) | −4.28757e14 | + | 7.42629e14i | −0.501871 | + | 0.869267i | ||||
\(970\) | 4.38788e13 | − | 7.60003e13i | 0.0510971 | − | 0.0885027i | ||||
\(971\) | 5.86685e14 | + | 1.01617e15i | 0.679687 | + | 1.17725i | 0.975075 | + | 0.221875i | \(0.0712178\pi\) |
−0.295388 | + | 0.955377i | \(0.595449\pi\) | |||||||
\(972\) | −1.11174e14 | + | 6.41864e13i | −0.128136 | + | 0.0739796i | ||||
\(973\) | − | 5.42928e14i | − | 0.622556i | ||||||
\(974\) | 4.69703e14 | − | 2.71183e14i | 0.535832 | − | 0.309363i | ||||
\(975\) | −9.64443e14 | + | 5.56822e14i | −1.09460 | + | 0.631965i | ||||
\(976\) | 1.00290e15 | − | 5.79026e14i | 1.13243 | − | 0.653806i | ||||
\(977\) | 1.78628e14 | − | 3.09393e14i | 0.200668 | − | 0.347567i | −0.748076 | − | 0.663613i | \(-0.769022\pi\) |
0.948744 | + | 0.316046i | \(0.102355\pi\) | |||||||
\(978\) | 1.08072e15i | 1.20786i | ||||||||
\(979\) | 4.96364e14 | + | 2.86576e14i | 0.551933 | + | 0.318659i | ||||
\(980\) | 6.99305e13 | − | 4.03744e13i | 0.0773635 | − | 0.0446658i | ||||
\(981\) | −3.88254e13 | −0.0427337 | ||||||||
\(982\) | 2.76939e13 | + | 4.79672e13i | 0.0303268 | + | 0.0525275i | ||||
\(983\) | −1.02499e15 | − | 5.91777e14i | −1.11674 | − | 0.644749i | −0.176172 | − | 0.984359i | \(-0.556372\pi\) |
−0.940566 | + | 0.339610i | \(0.889705\pi\) | |||||||
\(984\) | −1.92160e14 | + | 3.32831e14i | −0.208299 | + | 0.360784i | ||||
\(985\) | − | 1.51396e14i | − | 0.163280i | ||||||
\(986\) | 1.54089e14 | − | 2.66890e14i | 0.165344 | − | 0.286383i | ||||
\(987\) | 2.52643e14 | 0.269725 | ||||||||
\(988\) | 1.10703e15i | 1.17591i | ||||||||
\(989\) | −1.35111e15 | − | 3.03053e13i | −1.42793 | − | 0.0320286i | ||||
\(990\) | 1.65277e13 | 0.0173795 | ||||||||
\(991\) | 1.47287e15i | 1.54098i | 0.637454 | + | 0.770488i | \(0.279987\pi\) | ||||
−0.637454 | + | 0.770488i | \(0.720013\pi\) | |||||||
\(992\) | −1.81149e15 | − | 1.04587e15i | −1.88572 | − | 1.08872i | ||||
\(993\) | −3.17041e14 | −0.328374 | ||||||||
\(994\) | 1.44342e14 | + | 8.33359e13i | 0.148751 | + | 0.0858816i | ||||
\(995\) | 6.10147e13 | − | 1.05681e14i | 0.0625632 | − | 0.108363i | ||||
\(996\) | −4.60962e14 | + | 2.66137e14i | −0.470293 | + | 0.271524i | ||||
\(997\) | − | 1.07462e15i | − | 1.09088i | −0.838148 | − | 0.545442i | \(-0.816362\pi\) | ||
0.838148 | − | 0.545442i | \(-0.183638\pi\) | |||||||
\(998\) | −5.44284e14 | − | 9.42728e14i | −0.549760 | − | 0.952212i | ||||
\(999\) | 2.18414e14 | − | 3.78304e14i | 0.219509 | − | 0.380202i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.11.d.a.37.28 | yes | 72 | |
43.7 | odd | 6 | inner | 43.11.d.a.7.9 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.11.d.a.7.9 | ✓ | 72 | 43.7 | odd | 6 | inner | |
43.11.d.a.37.28 | yes | 72 | 1.1 | even | 1 | trivial |