Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,15,Mod(3,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 15, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 15);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 15 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.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: | \(17.4060555413\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 4 x^{19} + 5366534 x^{18} + 786490608 x^{17} + 19826027932115 x^{16} + \cdots + 13\!\cdots\!24 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{76}\cdot 3^{12}\cdot 7^{14} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Root | \(87.1998 + 151.035i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.3 |
Dual form | 14.15.d.a.5.3 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −45.2548 | − | 78.3837i | −0.353553 | − | 0.612372i | ||||
\(3\) | −746.556 | − | 431.025i | −0.341361 | − | 0.197085i | 0.319513 | − | 0.947582i | \(-0.396481\pi\) |
−0.660874 | + | 0.750497i | \(0.729814\pi\) | |||||||
\(4\) | −4096.00 | + | 7094.48i | −0.250000 | + | 0.433013i | ||||
\(5\) | 45757.7 | − | 26418.2i | 0.585699 | − | 0.338153i | −0.177696 | − | 0.984085i | \(-0.556864\pi\) |
0.763395 | + | 0.645932i | \(0.223531\pi\) | |||||||
\(6\) | 78023.8i | 0.278720i | ||||||||
\(7\) | −602075. | − | 561898.i | −0.731079 | − | 0.682293i | ||||
\(8\) | 741455. | 0.353553 | ||||||||
\(9\) | −2.01992e6 | − | 3.49860e6i | −0.422315 | − | 0.731471i | ||||
\(10\) | −4.14152e6 | − | 2.39111e6i | −0.414152 | − | 0.239111i | ||||
\(11\) | −1.49968e7 | + | 2.59753e7i | −0.769575 | + | 1.33294i | 0.168218 | + | 0.985750i | \(0.446199\pi\) |
−0.937794 | + | 0.347193i | \(0.887135\pi\) | |||||||
\(12\) | 6.11579e6 | − | 3.53095e6i | 0.170680 | − | 0.0985424i | ||||
\(13\) | − | 6.10988e7i | − | 0.973709i | −0.873483 | − | 0.486855i | \(-0.838144\pi\) | ||
0.873483 | − | 0.486855i | \(-0.161856\pi\) | |||||||
\(14\) | −1.67968e7 | + | 7.26214e7i | −0.159342 | + | 0.688919i | ||||
\(15\) | −4.55476e7 | −0.266580 | ||||||||
\(16\) | −3.35544e7 | − | 5.81180e7i | −0.125000 | − | 0.216506i | ||||
\(17\) | 6.07711e8 | + | 3.50862e8i | 1.48100 | + | 0.855055i | 0.999768 | − | 0.0215382i | \(-0.00685636\pi\) |
0.481231 | + | 0.876594i | \(0.340190\pi\) | |||||||
\(18\) | −1.82822e8 | + | 3.16658e8i | −0.298622 | + | 0.517228i | ||||
\(19\) | −8.10189e8 | + | 4.67763e8i | −0.906382 | + | 0.523300i | −0.879265 | − | 0.476333i | \(-0.841966\pi\) |
−0.0271164 | + | 0.999632i | \(0.508632\pi\) | |||||||
\(20\) | 4.32836e8i | 0.338153i | ||||||||
\(21\) | 2.07291e8 | + | 6.78997e8i | 0.115092 | + | 0.376993i | ||||
\(22\) | 2.71472e9 | 1.08834 | ||||||||
\(23\) | 2.67149e9 | + | 4.62716e9i | 0.784619 | + | 1.35900i | 0.929226 | + | 0.369511i | \(0.120475\pi\) |
−0.144607 | + | 0.989489i | \(0.546192\pi\) | |||||||
\(24\) | −5.53538e8 | − | 3.19585e8i | −0.120689 | − | 0.0696800i | ||||
\(25\) | −1.65591e9 | + | 2.86812e9i | −0.271305 | + | 0.469913i | ||||
\(26\) | −4.78915e9 | + | 2.76502e9i | −0.596273 | + | 0.344258i | ||||
\(27\) | 7.60570e9i | 0.727097i | ||||||||
\(28\) | 6.45247e9 | − | 1.96987e9i | 0.478211 | − | 0.145993i | ||||
\(29\) | −2.60644e10 | −1.51099 | −0.755496 | − | 0.655154i | \(-0.772604\pi\) | ||||
−0.755496 | + | 0.655154i | \(0.772604\pi\) | |||||||
\(30\) | 2.06125e9 | + | 3.57019e9i | 0.0942501 | + | 0.163246i | ||||
\(31\) | 1.46354e10 | + | 8.44977e9i | 0.531953 | + | 0.307123i | 0.741812 | − | 0.670608i | \(-0.233967\pi\) |
−0.209858 | + | 0.977732i | \(0.567300\pi\) | |||||||
\(32\) | −3.03700e9 | + | 5.26024e9i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 2.23920e10 | − | 1.29280e10i | 0.525406 | − | 0.303343i | ||||
\(34\) | − | 6.35129e10i | − | 1.20923i | ||||||
\(35\) | −4.23939e10 | − | 9.80541e9i | −0.658912 | − | 0.152402i | ||||
\(36\) | 3.30944e10 | 0.422315 | ||||||||
\(37\) | −1.69601e8 | − | 2.93758e8i | −0.00178656 | − | 0.00309441i | 0.865131 | − | 0.501546i | \(-0.167235\pi\) |
−0.866917 | + | 0.498452i | \(0.833902\pi\) | |||||||
\(38\) | 7.33299e10 | + | 4.23371e10i | 0.640909 | + | 0.370029i | ||||
\(39\) | −2.63351e10 | + | 4.56137e10i | −0.191903 | + | 0.332386i | ||||
\(40\) | 3.39273e10 | − | 1.95879e10i | 0.207076 | − | 0.119555i | ||||
\(41\) | − | 2.65621e11i | − | 1.36388i | −0.731410 | − | 0.681938i | \(-0.761137\pi\) | ||
0.731410 | − | 0.681938i | \(-0.238863\pi\) | |||||||
\(42\) | 4.38414e10 | − | 4.69761e10i | 0.190169 | − | 0.203766i | ||||
\(43\) | −1.33135e11 | −0.489794 | −0.244897 | − | 0.969549i | \(-0.578754\pi\) | ||||
−0.244897 | + | 0.969549i | \(0.578754\pi\) | |||||||
\(44\) | −1.22854e11 | − | 2.12790e11i | −0.384788 | − | 0.666472i | ||||
\(45\) | −1.84854e11 | − | 1.06725e11i | −0.494699 | − | 0.285615i | ||||
\(46\) | 2.41796e11 | − | 4.18803e11i | 0.554809 | − | 0.960958i | ||||
\(47\) | −3.25071e11 | + | 1.87680e11i | −0.641642 | + | 0.370452i | −0.785247 | − | 0.619183i | \(-0.787464\pi\) |
0.143604 | + | 0.989635i | \(0.454131\pi\) | |||||||
\(48\) | 5.78511e10i | 0.0985424i | ||||||||
\(49\) | 4.67649e10 | + | 6.76609e11i | 0.0689521 | + | 0.997620i | ||||
\(50\) | 2.99752e11 | 0.383683 | ||||||||
\(51\) | −3.02461e11 | − | 5.23877e11i | −0.337037 | − | 0.583765i | ||||
\(52\) | 4.33464e11 | + | 2.50261e11i | 0.421628 | + | 0.243427i | ||||
\(53\) | −7.07618e11 | + | 1.22563e12i | −0.602376 | + | 1.04335i | 0.390084 | + | 0.920779i | \(0.372446\pi\) |
−0.992460 | + | 0.122567i | \(0.960888\pi\) | |||||||
\(54\) | 5.96162e11 | − | 3.44194e11i | 0.445254 | − | 0.257068i | ||||
\(55\) | 1.58476e12i | 1.04094i | ||||||||
\(56\) | −4.46411e11 | − | 4.16622e11i | −0.258475 | − | 0.241227i | ||||
\(57\) | 8.06469e11 | 0.412538 | ||||||||
\(58\) | 1.17954e12 | + | 2.04302e12i | 0.534216 | + | 0.925289i | ||||
\(59\) | 1.85845e12 | + | 1.07298e12i | 0.746770 | + | 0.431148i | 0.824526 | − | 0.565824i | \(-0.191442\pi\) |
−0.0777555 | + | 0.996972i | \(0.524775\pi\) | |||||||
\(60\) | 1.86563e11 | − | 3.23137e11i | 0.0666449 | − | 0.115432i | ||||
\(61\) | −1.76997e12 | + | 1.02189e12i | −0.563193 | + | 0.325160i | −0.754426 | − | 0.656385i | \(-0.772085\pi\) |
0.191233 | + | 0.981545i | \(0.438751\pi\) | |||||||
\(62\) | − | 1.52957e12i | − | 0.434338i | ||||||
\(63\) | −7.49715e11 | + | 3.24141e12i | −0.190332 | + | 0.822906i | ||||
\(64\) | 5.49756e11 | 0.125000 | ||||||||
\(65\) | −1.61412e12 | − | 2.79574e12i | −0.329263 | − | 0.570300i | ||||
\(66\) | −2.02669e12 | − | 1.17011e12i | −0.371518 | − | 0.214496i | ||||
\(67\) | 3.51155e12 | − | 6.08219e12i | 0.579396 | − | 1.00354i | −0.416153 | − | 0.909295i | \(-0.636622\pi\) |
0.995549 | − | 0.0942485i | \(-0.0300448\pi\) | |||||||
\(68\) | −4.97837e12 | + | 2.87426e12i | −0.740500 | + | 0.427528i | ||||
\(69\) | − | 4.60591e12i | − | 0.618546i | ||||||
\(70\) | 1.14995e12 | + | 3.76673e12i | 0.139634 | + | 0.457381i | ||||
\(71\) | 1.32667e12 | 0.145866 | 0.0729330 | − | 0.997337i | \(-0.476764\pi\) | ||||
0.0729330 | + | 0.997337i | \(0.476764\pi\) | |||||||
\(72\) | −1.49768e12 | − | 2.59406e12i | −0.149311 | − | 0.258614i | ||||
\(73\) | −1.14065e13 | − | 6.58554e12i | −1.03250 | − | 0.596116i | −0.114803 | − | 0.993388i | \(-0.536624\pi\) |
−0.917701 | + | 0.397272i | \(0.869957\pi\) | |||||||
\(74\) | −1.53506e10 | + | 2.65880e10i | −0.00126329 | + | 0.00218808i | ||||
\(75\) | 2.47246e12 | − | 1.42748e12i | 0.185226 | − | 0.106940i | ||||
\(76\) | − | 7.66382e12i | − | 0.523300i | ||||||
\(77\) | 2.36247e13 | − | 7.21237e12i | 1.47208 | − | 0.449411i | ||||
\(78\) | 4.76716e12 | 0.271392 | ||||||||
\(79\) | −2.22090e12 | − | 3.84672e12i | −0.115648 | − | 0.200309i | 0.802390 | − | 0.596800i | \(-0.203561\pi\) |
−0.918039 | + | 0.396491i | \(0.870228\pi\) | |||||||
\(80\) | −3.07075e12 | − | 1.77290e12i | −0.146425 | − | 0.0845383i | ||||
\(81\) | −6.38297e12 | + | 1.10556e13i | −0.279015 | + | 0.483269i | ||||
\(82\) | −2.08203e13 | + | 1.20206e13i | −0.835200 | + | 0.482203i | ||||
\(83\) | − | 2.90141e13i | − | 1.06921i | −0.845103 | − | 0.534604i | \(-0.820461\pi\) | ||
0.845103 | − | 0.534604i | \(-0.179539\pi\) | |||||||
\(84\) | −5.66620e12 | − | 1.31055e12i | −0.192016 | − | 0.0444119i | ||||
\(85\) | 3.70766e13 | 1.15656 | ||||||||
\(86\) | 6.02501e12 | + | 1.04356e13i | 0.173168 | + | 0.299937i | ||||
\(87\) | 1.94586e13 | + | 1.12344e13i | 0.515793 | + | 0.297793i | ||||
\(88\) | −1.11195e13 | + | 1.92595e13i | −0.272086 | + | 0.471267i | ||||
\(89\) | −9.69029e11 | + | 5.59469e11i | −0.0219082 | + | 0.0126487i | −0.510914 | − | 0.859632i | \(-0.670693\pi\) |
0.489006 | + | 0.872280i | \(0.337360\pi\) | |||||||
\(90\) | 1.93194e13i | 0.403920i | ||||||||
\(91\) | −3.43313e13 | + | 3.67861e13i | −0.664355 | + | 0.711858i | ||||
\(92\) | −4.37697e13 | −0.784619 | ||||||||
\(93\) | −7.28412e12 | − | 1.26165e13i | −0.121059 | − | 0.209680i | ||||
\(94\) | 2.94221e13 | + | 1.69868e13i | 0.453710 | + | 0.261949i | ||||
\(95\) | −2.47149e13 | + | 4.28075e13i | −0.353911 | + | 0.612992i | ||||
\(96\) | 4.53458e12 | − | 2.61804e12i | 0.0603447 | − | 0.0348400i | ||||
\(97\) | 3.91392e13i | 0.484406i | 0.970226 | + | 0.242203i | \(0.0778701\pi\) | ||||
−0.970226 | + | 0.242203i | \(0.922130\pi\) | |||||||
\(98\) | 5.09188e13 | − | 3.42854e13i | 0.586537 | − | 0.394936i | ||||
\(99\) | 1.21170e14 | 1.30001 | ||||||||
\(100\) | −1.35652e13 | − | 2.34957e13i | −0.135652 | − | 0.234957i | ||||
\(101\) | −6.83990e13 | − | 3.94902e13i | −0.637970 | − | 0.368332i | 0.145862 | − | 0.989305i | \(-0.453404\pi\) |
−0.783832 | + | 0.620973i | \(0.786738\pi\) | |||||||
\(102\) | −2.73756e13 | + | 4.74159e13i | −0.238321 | + | 0.412784i | ||||
\(103\) | −1.39636e14 | + | 8.06187e13i | −1.13537 | + | 0.655504i | −0.945279 | − | 0.326263i | \(-0.894210\pi\) |
−0.190087 | + | 0.981767i | \(0.560877\pi\) | |||||||
\(104\) | − | 4.53020e13i | − | 0.344258i | ||||||
\(105\) | 2.74231e13 | + | 2.55931e13i | 0.194891 | + | 0.181885i | ||||
\(106\) | 1.28092e14 | 0.851888 | ||||||||
\(107\) | −3.07806e13 | − | 5.33135e13i | −0.191686 | − | 0.332010i | 0.754123 | − | 0.656733i | \(-0.228062\pi\) |
−0.945809 | + | 0.324723i | \(0.894729\pi\) | |||||||
\(108\) | −5.39585e13 | − | 3.11529e13i | −0.314842 | − | 0.181774i | ||||
\(109\) | 4.56239e13 | − | 7.90229e13i | 0.249578 | − | 0.432283i | −0.713830 | − | 0.700319i | \(-0.753041\pi\) |
0.963409 | + | 0.268036i | \(0.0863746\pi\) | |||||||
\(110\) | 1.24219e14 | − | 7.17181e13i | 0.637442 | − | 0.368027i | ||||
\(111\) | 2.92409e11i | 0.00140841i | ||||||||
\(112\) | −1.24541e13 | + | 5.38455e13i | −0.0563360 | + | 0.243570i | ||||
\(113\) | −3.38777e13 | −0.144001 | −0.0720004 | − | 0.997405i | \(-0.522938\pi\) | ||||
−0.0720004 | + | 0.997405i | \(0.522938\pi\) | |||||||
\(114\) | −3.64966e13 | − | 6.32140e13i | −0.145854 | − | 0.252627i | ||||
\(115\) | 2.44483e14 | + | 1.41152e14i | 0.919101 | + | 0.530643i | ||||
\(116\) | 1.06760e14 | − | 1.84913e14i | 0.377748 | − | 0.654278i | ||||
\(117\) | −2.13761e14 | + | 1.23415e14i | −0.712240 | + | 0.411212i | ||||
\(118\) | − | 1.94230e14i | − | 0.609735i | ||||||
\(119\) | −1.68739e14 | − | 5.52717e14i | −0.499329 | − | 1.63559i | ||||
\(120\) | −3.37715e13 | −0.0942501 | ||||||||
\(121\) | −2.59936e14 | − | 4.50222e14i | −0.684492 | − | 1.18557i | ||||
\(122\) | 1.60199e14 | + | 9.24912e13i | 0.398238 | + | 0.229923i | ||||
\(123\) | −1.14489e14 | + | 1.98301e14i | −0.268799 | + | 0.465574i | ||||
\(124\) | −1.19893e14 | + | 6.92205e13i | −0.265977 | + | 0.153562i | ||||
\(125\) | 4.97473e14i | 1.04328i | ||||||||
\(126\) | 2.88002e14 | − | 8.79240e13i | 0.571217 | − | 0.174387i | ||||
\(127\) | −4.40638e14 | −0.826906 | −0.413453 | − | 0.910526i | \(-0.635677\pi\) | ||||
−0.413453 | + | 0.910526i | \(0.635677\pi\) | |||||||
\(128\) | −2.48791e13 | − | 4.30919e13i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 9.93929e13 | + | 5.73845e13i | 0.167197 | + | 0.0965310i | ||||
\(130\) | −1.46094e14 | + | 2.53042e14i | −0.232824 | + | 0.403263i | ||||
\(131\) | 8.40492e12 | − | 4.85258e12i | 0.0126950 | − | 0.00732949i | −0.493639 | − | 0.869667i | \(-0.664334\pi\) |
0.506334 | + | 0.862337i | \(0.331000\pi\) | |||||||
\(132\) | 2.11813e14i | 0.303343i | ||||||||
\(133\) | 7.50629e14 | + | 1.73615e14i | 1.01968 | + | 0.235845i | ||||
\(134\) | −6.35659e14 | −0.819390 | ||||||||
\(135\) | 2.00929e14 | + | 3.48019e14i | 0.245870 | + | 0.425860i | ||||
\(136\) | 4.50591e14 | + | 2.60149e14i | 0.523612 | + | 0.302308i | ||||
\(137\) | 5.62249e14 | − | 9.73844e14i | 0.620704 | − | 1.07509i | −0.368651 | − | 0.929568i | \(-0.620180\pi\) |
0.989355 | − | 0.145523i | \(-0.0464865\pi\) | |||||||
\(138\) | −3.61028e14 | + | 2.08440e14i | −0.378781 | + | 0.218689i | ||||
\(139\) | 1.61426e15i | 1.61016i | 0.593165 | + | 0.805081i | \(0.297878\pi\) | ||||
−0.593165 | + | 0.805081i | \(0.702122\pi\) | |||||||
\(140\) | 2.43210e14 | − | 2.60600e14i | 0.230720 | − | 0.247217i | ||||
\(141\) | 3.23578e14 | 0.292042 | ||||||||
\(142\) | −6.00382e13 | − | 1.03989e14i | −0.0515714 | − | 0.0893243i | ||||
\(143\) | 1.58706e15 | + | 9.16289e14i | 1.29790 | + | 0.749342i | ||||
\(144\) | −1.35555e14 | + | 2.34787e14i | −0.105579 | + | 0.182868i | ||||
\(145\) | −1.19265e15 | + | 6.88576e14i | −0.884986 | + | 0.510947i | ||||
\(146\) | 1.19211e15i | 0.843036i | ||||||||
\(147\) | 2.56722e14 | − | 5.25284e14i | 0.173078 | − | 0.354138i | ||||
\(148\) | 2.77875e12 | 0.00178656 | ||||||||
\(149\) | −1.10305e15 | − | 1.91053e15i | −0.676534 | − | 1.17179i | −0.976018 | − | 0.217690i | \(-0.930148\pi\) |
0.299484 | − | 0.954101i | \(-0.403185\pi\) | |||||||
\(150\) | −2.23782e14 | − | 1.29201e14i | −0.130974 | − | 0.0756180i | ||||
\(151\) | −7.55996e14 | + | 1.30942e15i | −0.422358 | + | 0.731546i | −0.996170 | − | 0.0874416i | \(-0.972131\pi\) |
0.573812 | + | 0.818987i | \(0.305464\pi\) | |||||||
\(152\) | −6.00719e14 | + | 3.46825e14i | −0.320454 | + | 0.185014i | ||||
\(153\) | − | 2.83486e15i | − | 1.44441i | ||||||
\(154\) | −1.63446e15 | − | 1.52539e15i | −0.795665 | − | 0.742569i | ||||
\(155\) | 8.92912e14 | 0.415419 | ||||||||
\(156\) | −2.15737e14 | − | 3.73668e14i | −0.0959517 | − | 0.166193i | ||||
\(157\) | 3.54745e14 | + | 2.04812e14i | 0.150876 | + | 0.0871081i | 0.573537 | − | 0.819179i | \(-0.305571\pi\) |
−0.422662 | + | 0.906288i | \(0.638904\pi\) | |||||||
\(158\) | −2.01013e14 | + | 3.48165e14i | −0.0817758 | + | 0.141640i | ||||
\(159\) | 1.05655e15 | − | 6.10001e14i | 0.411255 | − | 0.237438i | ||||
\(160\) | 3.20929e14i | 0.119555i | ||||||||
\(161\) | 9.91553e14 | − | 4.28700e15i | 0.353618 | − | 1.52888i | ||||
\(162\) | 1.15544e15 | 0.394587 | ||||||||
\(163\) | −2.63887e15 | − | 4.57065e15i | −0.863186 | − | 1.49508i | −0.868837 | − | 0.495098i | \(-0.835132\pi\) |
0.00565104 | − | 0.999984i | \(-0.498201\pi\) | |||||||
\(164\) | 1.88444e15 | + | 1.08798e15i | 0.590576 | + | 0.340969i | ||||
\(165\) | 6.83071e14 | − | 1.18311e15i | 0.205153 | − | 0.355336i | ||||
\(166\) | −2.27423e15 | + | 1.31303e15i | −0.654753 | + | 0.378022i | ||||
\(167\) | 7.01298e15i | 1.93592i | 0.251106 | + | 0.967960i | \(0.419206\pi\) | ||||
−0.251106 | + | 0.967960i | \(0.580794\pi\) | |||||||
\(168\) | 1.53697e14 | + | 5.03446e14i | 0.0406912 | + | 0.133287i | ||||
\(169\) | 2.04311e14 | 0.0518902 | ||||||||
\(170\) | −1.67790e15 | − | 2.90620e15i | −0.408906 | − | 0.708245i | ||||
\(171\) | 3.27303e15 | + | 1.88969e15i | 0.765557 | + | 0.441995i | ||||
\(172\) | 5.45322e14 | − | 9.44525e14i | 0.122449 | − | 0.212087i | ||||
\(173\) | −2.83973e15 | + | 1.63952e15i | −0.612286 | + | 0.353504i | −0.773860 | − | 0.633357i | \(-0.781676\pi\) |
0.161573 | + | 0.986861i | \(0.448343\pi\) | |||||||
\(174\) | − | 2.03364e15i | − | 0.421144i | ||||||
\(175\) | 2.60858e15 | − | 7.96372e14i | 0.518964 | − | 0.158434i | ||||
\(176\) | 2.01284e15 | 0.384788 | ||||||||
\(177\) | −9.24959e14 | − | 1.60208e15i | −0.169945 | − | 0.294354i | ||||
\(178\) | 8.77065e13 | + | 5.06374e13i | 0.0154914 | + | 0.00894398i | ||||
\(179\) | −2.19406e15 | + | 3.80022e15i | −0.372629 | + | 0.645413i | −0.989969 | − | 0.141284i | \(-0.954877\pi\) |
0.617340 | + | 0.786697i | \(0.288210\pi\) | |||||||
\(180\) | 1.51432e15 | − | 8.74295e14i | 0.247349 | − | 0.142807i | ||||
\(181\) | − | 2.32948e14i | − | 0.0366023i | −0.999833 | − | 0.0183012i | \(-0.994174\pi\) | ||
0.999833 | − | 0.0183012i | \(-0.00582576\pi\) | |||||||
\(182\) | 4.43708e15 | + | 1.02627e15i | 0.670807 | + | 0.155153i | ||||
\(183\) | 1.76184e15 | 0.256336 | ||||||||
\(184\) | 1.98079e15 | + | 3.43083e15i | 0.277405 | + | 0.480479i | ||||
\(185\) | −1.55211e13 | − | 8.96114e12i | −0.00209277 | − | 0.00120826i | ||||
\(186\) | −6.59283e14 | + | 1.14191e15i | −0.0856015 | + | 0.148266i | ||||
\(187\) | −1.82275e16 | + | 1.05237e16i | −2.27948 | + | 1.31606i | ||||
\(188\) | − | 3.07495e15i | − | 0.370452i | ||||||
\(189\) | 4.27362e15 | − | 4.57920e15i | 0.496094 | − | 0.531565i | ||||
\(190\) | 4.47388e15 | 0.500506 | ||||||||
\(191\) | 1.38855e15 | + | 2.40504e15i | 0.149737 | + | 0.259352i | 0.931130 | − | 0.364687i | \(-0.118824\pi\) |
−0.781393 | + | 0.624039i | \(0.785491\pi\) | |||||||
\(192\) | −4.10424e14 | − | 2.36958e14i | −0.0426701 | − | 0.0246356i | ||||
\(193\) | −7.24969e15 | + | 1.25568e16i | −0.726806 | + | 1.25886i | 0.231421 | + | 0.972854i | \(0.425663\pi\) |
−0.958227 | + | 0.286010i | \(0.907671\pi\) | |||||||
\(194\) | 3.06788e15 | − | 1.77124e15i | 0.296637 | − | 0.171264i | ||||
\(195\) | 2.78291e15i | 0.259571i | ||||||||
\(196\) | −4.99174e15 | − | 2.43962e15i | −0.449220 | − | 0.219548i | ||||
\(197\) | 4.36142e15 | 0.378760 | 0.189380 | − | 0.981904i | \(-0.439352\pi\) | ||||
0.189380 | + | 0.981904i | \(0.439352\pi\) | |||||||
\(198\) | −5.48351e15 | − | 9.49773e15i | −0.459624 | − | 0.796092i | ||||
\(199\) | 1.19405e15 | + | 6.89387e14i | 0.0966167 | + | 0.0557817i | 0.547530 | − | 0.836786i | \(-0.315568\pi\) |
−0.450913 | + | 0.892568i | \(0.648902\pi\) | |||||||
\(200\) | −1.22778e15 | + | 2.12659e15i | −0.0959207 | + | 0.166139i | ||||
\(201\) | −5.24314e15 | + | 3.02713e15i | −0.395566 | + | 0.228380i | ||||
\(202\) | 7.14848e15i | 0.520900i | ||||||||
\(203\) | 1.56927e16 | + | 1.46455e16i | 1.10465 | + | 1.03094i | ||||
\(204\) | 4.95551e15 | 0.337037 | ||||||||
\(205\) | −7.01723e15 | − | 1.21542e16i | −0.461199 | − | 0.798821i | ||||
\(206\) | 1.26384e16 | + | 7.29677e15i | 0.802825 | + | 0.463511i | ||||
\(207\) | 1.07924e16 | − | 1.86930e16i | 0.662713 | − | 1.14785i | ||||
\(208\) | −3.55094e15 | + | 2.05014e15i | −0.210814 | + | 0.121714i | ||||
\(209\) | − | 2.80599e16i | − | 1.61087i | ||||||
\(210\) | 7.65055e14 | − | 3.30773e15i | 0.0424774 | − | 0.183652i | ||||
\(211\) | −3.85254e15 | −0.206905 | −0.103452 | − | 0.994634i | \(-0.532989\pi\) | ||||
−0.103452 | + | 0.994634i | \(0.532989\pi\) | |||||||
\(212\) | −5.79680e15 | − | 1.00404e16i | −0.301188 | − | 0.521673i | ||||
\(213\) | −9.90433e14 | − | 5.71827e14i | −0.0497929 | − | 0.0287480i | ||||
\(214\) | −2.78594e15 | + | 4.82539e15i | −0.135542 | + | 0.234766i | ||||
\(215\) | −6.09196e15 | + | 3.51720e15i | −0.286872 | + | 0.165626i | ||||
\(216\) | 5.63928e15i | 0.257068i | ||||||||
\(217\) | −4.06371e15 | − | 1.33110e16i | −0.179352 | − | 0.587479i | ||||
\(218\) | −8.25881e15 | −0.352957 | ||||||||
\(219\) | 5.67706e15 | + | 9.83295e15i | 0.234971 | + | 0.406982i | ||||
\(220\) | −1.12430e16 | − | 6.49118e15i | −0.450739 | − | 0.260234i | ||||
\(221\) | 2.14373e16 | − | 3.71304e16i | 0.832575 | − | 1.44206i | ||||
\(222\) | 2.29201e13 | − | 1.32329e13i | 0.000862474 | − | 0.000497950i | ||||
\(223\) | 3.21148e16i | 1.17104i | 0.810658 | + | 0.585519i | \(0.199109\pi\) | ||||
−0.810658 | + | 0.585519i | \(0.800891\pi\) | |||||||
\(224\) | 4.78422e15 | − | 1.46057e15i | 0.169073 | − | 0.0516163i | ||||
\(225\) | 1.33792e16 | 0.458304 | ||||||||
\(226\) | 1.53313e15 | + | 2.65546e15i | 0.0509120 | + | 0.0881822i | ||||
\(227\) | −1.88855e16 | − | 1.09036e16i | −0.608062 | − | 0.351065i | 0.164144 | − | 0.986436i | \(-0.447514\pi\) |
−0.772207 | + | 0.635371i | \(0.780847\pi\) | |||||||
\(228\) | −3.30330e15 | + | 5.72148e15i | −0.103134 | + | 0.178634i | ||||
\(229\) | 5.68686e15 | − | 3.28331e15i | 0.172197 | − | 0.0994177i | −0.411425 | − | 0.911444i | \(-0.634969\pi\) |
0.583621 | + | 0.812026i | \(0.301635\pi\) | |||||||
\(230\) | − | 2.55513e16i | − | 0.750443i | ||||||
\(231\) | −2.07459e16 | − | 4.79837e15i | −0.591082 | − | 0.136713i | ||||
\(232\) | −1.93256e16 | −0.534216 | ||||||||
\(233\) | −1.00381e16 | − | 1.73865e16i | −0.269252 | − | 0.466358i | 0.699417 | − | 0.714714i | \(-0.253443\pi\) |
−0.968669 | + | 0.248356i | \(0.920110\pi\) | |||||||
\(234\) | 1.93474e16 | + | 1.11702e16i | 0.503630 | + | 0.290771i | ||||
\(235\) | −9.91634e15 | + | 1.71756e16i | −0.250539 | + | 0.433947i | ||||
\(236\) | −1.52244e16 | + | 8.78983e15i | −0.373385 | + | 0.215574i | ||||
\(237\) | 3.82905e15i | 0.0911702i | ||||||||
\(238\) | −3.56877e16 | + | 3.82395e16i | −0.825050 | + | 0.884043i | ||||
\(239\) | 4.21922e16 | 0.947212 | 0.473606 | − | 0.880737i | \(-0.342952\pi\) | ||||
0.473606 | + | 0.880737i | \(0.342952\pi\) | |||||||
\(240\) | 1.52832e15 | + | 2.64714e15i | 0.0333225 | + | 0.0577162i | ||||
\(241\) | 2.56080e16 | + | 1.47848e16i | 0.542320 | + | 0.313109i | 0.746019 | − | 0.665925i | \(-0.231963\pi\) |
−0.203699 | + | 0.979034i | \(0.565296\pi\) | |||||||
\(242\) | −2.35267e16 | + | 4.07494e16i | −0.484009 | + | 0.838328i | ||||
\(243\) | 4.10346e16 | − | 2.36913e16i | 0.820175 | − | 0.473528i | ||||
\(244\) | − | 1.67427e16i | − | 0.325160i | ||||||
\(245\) | 2.00147e16 | + | 2.97246e16i | 0.377734 | + | 0.560988i | ||||
\(246\) | 2.07247e16 | 0.380140 | ||||||||
\(247\) | 2.85797e16 | + | 4.95016e16i | 0.509542 | + | 0.882552i | ||||
\(248\) | 1.08515e16 | + | 6.26512e15i | 0.188074 | + | 0.108585i | ||||
\(249\) | −1.25058e16 | + | 2.16606e16i | −0.210725 | + | 0.364986i | ||||
\(250\) | 3.89938e16 | − | 2.25131e16i | 0.638874 | − | 0.368854i | ||||
\(251\) | 2.96823e16i | 0.472914i | 0.971642 | + | 0.236457i | \(0.0759862\pi\) | ||||
−0.971642 | + | 0.236457i | \(0.924014\pi\) | |||||||
\(252\) | −1.99253e16 | − | 1.85957e16i | −0.308746 | − | 0.288143i | ||||
\(253\) | −1.60256e17 | −2.41529 | ||||||||
\(254\) | 1.99410e16 | + | 3.45388e16i | 0.292355 | + | 0.506374i | ||||
\(255\) | −2.76798e16 | − | 1.59809e16i | −0.394804 | − | 0.227940i | ||||
\(256\) | −2.25180e15 | + | 3.90023e15i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 8.36892e16 | − | 4.83180e16i | 1.13015 | − | 0.652494i | 0.186180 | − | 0.982516i | \(-0.440389\pi\) |
0.943973 | + | 0.330021i | \(0.107056\pi\) | |||||||
\(258\) | − | 1.03877e16i | − | 0.136516i | ||||||
\(259\) | −6.29494e13 | + | 2.72163e14i | −0.000805180 | + | 0.00348121i | ||||
\(260\) | 2.64458e16 | 0.329263 | ||||||||
\(261\) | 5.26480e16 | + | 9.11891e16i | 0.638114 | + | 1.10525i | ||||
\(262\) | −7.60726e14 | − | 4.39205e14i | −0.00897675 | − | 0.00518273i | ||||
\(263\) | 2.98508e16 | − | 5.17031e16i | 0.342978 | − | 0.594055i | −0.642007 | − | 0.766699i | \(-0.721898\pi\) |
0.984984 | + | 0.172644i | \(0.0552311\pi\) | |||||||
\(264\) | 1.66026e16 | − | 9.58554e15i | 0.185759 | − | 0.107248i | ||||
\(265\) | 7.47760e16i | 0.814782i | ||||||||
\(266\) | −2.03610e16 | − | 6.66940e16i | −0.216086 | − | 0.707808i | ||||
\(267\) | 9.64580e14 | 0.00997147 | ||||||||
\(268\) | 2.87666e16 | + | 4.98253e16i | 0.289698 | + | 0.501772i | ||||
\(269\) | −1.66624e17 | − | 9.62005e16i | −1.63483 | − | 0.943868i | −0.982575 | − | 0.185867i | \(-0.940491\pi\) |
−0.652253 | − | 0.758001i | \(-0.726176\pi\) | |||||||
\(270\) | 1.81860e16 | − | 3.14991e16i | 0.173857 | − | 0.301129i | ||||
\(271\) | −5.58434e16 | + | 3.22412e16i | −0.520220 | + | 0.300349i | −0.737025 | − | 0.675866i | \(-0.763770\pi\) |
0.216805 | + | 0.976215i | \(0.430437\pi\) | |||||||
\(272\) | − | 4.70919e16i | − | 0.427528i | ||||||
\(273\) | 4.14859e16 | − | 1.26652e16i | 0.367081 | − | 0.112066i | ||||
\(274\) | −1.01778e17 | −0.877808 | ||||||||
\(275\) | −4.96669e16 | − | 8.60256e16i | −0.417579 | − | 0.723267i | ||||
\(276\) | 3.26766e16 | + | 1.88658e16i | 0.267838 | + | 0.154637i | ||||
\(277\) | 7.38339e16 | − | 1.27884e17i | 0.590062 | − | 1.02202i | −0.404162 | − | 0.914688i | \(-0.632437\pi\) |
0.994224 | − | 0.107330i | \(-0.0342300\pi\) | |||||||
\(278\) | 1.26532e17 | − | 7.30530e16i | 0.986019 | − | 0.569278i | ||||
\(279\) | − | 6.82714e16i | − | 0.518811i | ||||||
\(280\) | −3.14332e16 | − | 7.27027e15i | −0.232960 | − | 0.0538821i | ||||
\(281\) | −8.84673e16 | −0.639497 | −0.319749 | − | 0.947502i | \(-0.603598\pi\) | ||||
−0.319749 | + | 0.947502i | \(0.603598\pi\) | |||||||
\(282\) | −1.46435e16 | − | 2.53633e16i | −0.103253 | − | 0.178839i | ||||
\(283\) | −1.31200e17 | − | 7.57484e16i | −0.902463 | − | 0.521037i | −0.0244643 | − | 0.999701i | \(-0.507788\pi\) |
−0.877998 | + | 0.478664i | \(0.841121\pi\) | |||||||
\(284\) | −5.43403e15 | + | 9.41202e15i | −0.0364665 | + | 0.0631618i | ||||
\(285\) | 3.69022e16 | − | 2.13055e16i | 0.241623 | − | 0.139501i | ||||
\(286\) | − | 1.65866e17i | − | 1.05973i | ||||||
\(287\) | −1.49252e17 | + | 1.59924e17i | −0.930564 | + | 0.997101i | ||||
\(288\) | 2.45380e16 | 0.149311 | ||||||||
\(289\) | 1.62020e17 | + | 2.80627e17i | 0.962239 | + | 1.66665i | ||||
\(290\) | 1.07946e17 | + | 6.23228e16i | 0.625779 | + | 0.361294i | ||||
\(291\) | 1.68700e16 | − | 2.92196e16i | 0.0954692 | − | 0.165357i | ||||
\(292\) | 9.34419e16 | − | 5.39487e16i | 0.516252 | − | 0.298058i | ||||
\(293\) | 1.20045e17i | 0.647549i | 0.946134 | + | 0.323774i | \(0.104952\pi\) | ||||
−0.946134 | + | 0.323774i | \(0.895048\pi\) | |||||||
\(294\) | −5.27916e16 | + | 3.64877e15i | −0.278057 | + | 0.0192183i | ||||
\(295\) | 1.13385e17 | 0.583177 | ||||||||
\(296\) | −1.25752e14 | − | 2.17809e14i | −0.000631644 | − | 0.00109404i | ||||
\(297\) | −1.97560e17 | − | 1.14061e17i | −0.969180 | − | 0.559556i | ||||
\(298\) | −9.98363e16 | + | 1.72921e17i | −0.478382 | + | 0.828581i | ||||
\(299\) | 2.82714e17 | − | 1.63225e17i | 1.32327 | − | 0.763991i | ||||
\(300\) | 2.33878e16i | 0.106940i | ||||||||
\(301\) | 8.01573e16 | + | 7.48084e16i | 0.358078 | + | 0.334183i | ||||
\(302\) | 1.36850e17 | 0.597305 | ||||||||
\(303\) | 3.40425e16 | + | 5.89633e16i | 0.145185 | + | 0.251468i | ||||
\(304\) | 5.43709e16 | + | 3.13910e16i | 0.226595 | + | 0.130825i | ||||
\(305\) | −5.39932e16 | + | 9.35190e16i | −0.219908 | + | 0.380891i | ||||
\(306\) | −2.22206e17 | + | 1.28291e17i | −0.884518 | + | 0.510677i | ||||
\(307\) | 1.45767e16i | 0.0567142i | 0.999598 | + | 0.0283571i | \(0.00902756\pi\) | ||||
−0.999598 | + | 0.0283571i | \(0.990972\pi\) | |||||||
\(308\) | −4.55986e16 | + | 1.97147e17i | −0.173419 | + | 0.749781i | ||||
\(309\) | 1.38995e17 | 0.516760 | ||||||||
\(310\) | −4.04086e16 | − | 6.99897e16i | −0.146873 | − | 0.254391i | ||||
\(311\) | −1.26836e17 | − | 7.32286e16i | −0.450732 | − | 0.260230i | 0.257407 | − | 0.966303i | \(-0.417132\pi\) |
−0.708139 | + | 0.706073i | \(0.750465\pi\) | |||||||
\(312\) | −1.95263e16 | + | 3.38205e16i | −0.0678481 | + | 0.117516i | ||||
\(313\) | −2.07815e17 | + | 1.19982e17i | −0.706102 | + | 0.407668i | −0.809616 | − | 0.586960i | \(-0.800325\pi\) |
0.103514 | + | 0.994628i | \(0.466991\pi\) | |||||||
\(314\) | − | 3.70750e16i | − | 0.123189i | ||||||
\(315\) | 5.13271e16 | + | 1.68126e17i | 0.166791 | + | 0.546336i | ||||
\(316\) | 3.63873e16 | 0.115648 | ||||||||
\(317\) | 1.97544e17 | + | 3.42157e17i | 0.614115 | + | 1.06368i | 0.990539 | + | 0.137230i | \(0.0438201\pi\) |
−0.376424 | + | 0.926447i | \(0.622847\pi\) | |||||||
\(318\) | −9.56283e16 | − | 5.52110e16i | −0.290801 | − | 0.167894i | ||||
\(319\) | 3.90884e17 | − | 6.77031e17i | 1.16282 | − | 2.01407i | ||||
\(320\) | 2.51556e16 | − | 1.45236e16i | 0.0732123 | − | 0.0422692i | ||||
\(321\) | 5.30687e16i | 0.151114i | ||||||||
\(322\) | −3.80903e17 | + | 1.16286e17i | −1.06126 | + | 0.323993i | ||||
\(323\) | −6.56481e17 | −1.78980 | ||||||||
\(324\) | −5.22893e16 | − | 9.05678e16i | −0.139508 | − | 0.241634i | ||||
\(325\) | 1.75239e17 | + | 1.01174e17i | 0.457559 | + | 0.264172i | ||||
\(326\) | −2.38843e17 | + | 4.13688e17i | −0.610365 | + | 1.05718i | ||||
\(327\) | −6.81217e16 | + | 3.93301e16i | −0.170393 | + | 0.0983763i | ||||
\(328\) | − | 1.96946e17i | − | 0.482203i | ||||||
\(329\) | 3.01174e17 | + | 6.96594e16i | 0.721848 | + | 0.166958i | ||||
\(330\) | −1.23649e17 | −0.290130 | ||||||||
\(331\) | −1.77772e17 | − | 3.07911e17i | −0.408384 | − | 0.707342i | 0.586325 | − | 0.810076i | \(-0.300574\pi\) |
−0.994709 | + | 0.102734i | \(0.967241\pi\) | |||||||
\(332\) | 2.05840e17 | + | 1.18842e17i | 0.462980 | + | 0.267302i | ||||
\(333\) | −6.85162e14 | + | 1.18674e15i | −0.00150898 | + | 0.00261363i | ||||
\(334\) | 5.49703e17 | − | 3.17371e17i | 1.18550 | − | 0.684451i | ||||
\(335\) | − | 3.71076e17i | − | 0.783699i | ||||||
\(336\) | 3.25064e16 | − | 3.48307e16i | 0.0672348 | − | 0.0720423i | ||||
\(337\) | 7.21778e17 | 1.46216 | 0.731079 | − | 0.682293i | \(-0.239017\pi\) | ||||
0.731079 | + | 0.682293i | \(0.239017\pi\) | |||||||
\(338\) | −9.24608e15 | − | 1.60147e16i | −0.0183460 | − | 0.0317761i | ||||
\(339\) | 2.52916e16 | + | 1.46021e16i | 0.0491563 | + | 0.0283804i | ||||
\(340\) | −1.51866e17 | + | 2.63040e17i | −0.289140 | + | 0.500805i | ||||
\(341\) | −4.38970e17 | + | 2.53440e17i | −0.818756 | + | 0.472709i | ||||
\(342\) | − | 3.42070e17i | − | 0.625075i | ||||||
\(343\) | 3.52029e17 | − | 4.33646e17i | 0.630260 | − | 0.776384i | ||||
\(344\) | −9.87138e16 | −0.173168 | ||||||||
\(345\) | −1.21680e17 | − | 2.10756e17i | −0.209163 | − | 0.362282i | ||||
\(346\) | 2.57023e17 | + | 1.48392e17i | 0.432952 | + | 0.249965i | ||||
\(347\) | −5.78628e16 | + | 1.00221e17i | −0.0955198 | + | 0.165445i | −0.909825 | − | 0.414991i | \(-0.863785\pi\) |
0.814306 | + | 0.580436i | \(0.197118\pi\) | |||||||
\(348\) | −1.59404e17 | + | 9.20322e16i | −0.257897 | + | 0.148897i | ||||
\(349\) | − | 4.52169e17i | − | 0.717006i | −0.933529 | − | 0.358503i | \(-0.883287\pi\) | ||
0.933529 | − | 0.358503i | \(-0.116713\pi\) | |||||||
\(350\) | −1.80473e17 | − | 1.68430e17i | −0.280502 | − | 0.261784i | ||||
\(351\) | 4.64699e17 | 0.707981 | ||||||||
\(352\) | −9.10908e16 | − | 1.57774e17i | −0.136043 | − | 0.235633i | ||||
\(353\) | −5.52373e17 | − | 3.18913e17i | −0.808741 | − | 0.466927i | 0.0377775 | − | 0.999286i | \(-0.487972\pi\) |
−0.846518 | + | 0.532359i | \(0.821306\pi\) | |||||||
\(354\) | −8.37177e16 | + | 1.45003e17i | −0.120170 | + | 0.208140i | ||||
\(355\) | 6.07053e16 | − | 3.50482e16i | 0.0854335 | − | 0.0493251i | ||||
\(356\) | − | 9.16634e15i | − | 0.0126487i | ||||||
\(357\) | −1.12261e17 | + | 4.85365e17i | −0.151898 | + | 0.656736i | ||||
\(358\) | 3.97167e17 | 0.526978 | ||||||||
\(359\) | −2.84387e16 | − | 4.92573e16i | −0.0370040 | − | 0.0640929i | 0.846930 | − | 0.531704i | \(-0.178448\pi\) |
−0.883934 | + | 0.467611i | \(0.845115\pi\) | |||||||
\(360\) | −1.37061e17 | − | 7.91321e16i | −0.174902 | − | 0.100980i | ||||
\(361\) | 3.81006e16 | − | 6.59922e16i | 0.0476850 | − | 0.0825929i | ||||
\(362\) | −1.82593e16 | + | 1.05420e16i | −0.0224142 | + | 0.0129409i | ||||
\(363\) | 4.48155e17i | 0.539612i | ||||||||
\(364\) | −1.20357e17 | − | 3.94238e17i | −0.142155 | − | 0.465639i | ||||
\(365\) | −6.95913e17 | −0.806315 | ||||||||
\(366\) | −7.97320e16 | − | 1.38100e17i | −0.0906285 | − | 0.156973i | ||||
\(367\) | −5.18527e17 | − | 2.99372e17i | −0.578241 | − | 0.333848i | 0.182193 | − | 0.983263i | \(-0.441680\pi\) |
−0.760434 | + | 0.649415i | \(0.775014\pi\) | |||||||
\(368\) | 1.79281e17 | − | 3.10523e17i | 0.196155 | − | 0.339750i | ||||
\(369\) | −9.29302e17 | + | 5.36533e17i | −0.997636 | + | 0.575986i | ||||
\(370\) | 1.62214e15i | 0.00170874i | ||||||||
\(371\) | 1.11472e18 | − | 3.40312e17i | 1.15225 | − | 0.351771i | ||||
\(372\) | 1.19343e17 | 0.121059 | ||||||||
\(373\) | 1.42476e17 | + | 2.46776e17i | 0.141834 | + | 0.245664i | 0.928187 | − | 0.372113i | \(-0.121367\pi\) |
−0.786353 | + | 0.617777i | \(0.788033\pi\) | |||||||
\(374\) | 1.64977e18 | + | 9.52492e17i | 1.61184 | + | 0.930594i | ||||
\(375\) | 2.14423e17 | − | 3.71392e17i | 0.205614 | − | 0.356134i | ||||
\(376\) | −2.41026e17 | + | 1.39156e17i | −0.226855 | + | 0.130975i | ||||
\(377\) | 1.59250e18i | 1.47127i | ||||||||
\(378\) | −5.52336e17 | − | 1.27751e17i | −0.500912 | − | 0.115857i | ||||
\(379\) | −7.15600e17 | −0.637082 | −0.318541 | − | 0.947909i | \(-0.603193\pi\) | ||||
−0.318541 | + | 0.947909i | \(0.603193\pi\) | |||||||
\(380\) | −2.02465e17 | − | 3.50679e17i | −0.176956 | − | 0.306496i | ||||
\(381\) | 3.28961e17 | + | 1.89926e17i | 0.282273 | + | 0.162971i | ||||
\(382\) | 1.25677e17 | − | 2.17680e17i | 0.105880 | − | 0.183389i | ||||
\(383\) | −1.54412e18 | + | 8.91499e17i | −1.27729 | + | 0.737445i | −0.976350 | − | 0.216197i | \(-0.930635\pi\) |
−0.300942 | + | 0.953642i | \(0.597301\pi\) | |||||||
\(384\) | 4.28940e16i | 0.0348400i | ||||||||
\(385\) | 8.90473e17 | − | 9.54144e17i | 0.710225 | − | 0.761007i | ||||
\(386\) | 1.31233e18 | 1.02786 | ||||||||
\(387\) | 2.68922e17 | + | 4.65787e17i | 0.206848 | + | 0.358270i | ||||
\(388\) | −2.77672e17 | − | 1.60314e17i | −0.209754 | − | 0.121102i | ||||
\(389\) | −5.52484e17 | + | 9.56930e17i | −0.409895 | + | 0.709959i | −0.994878 | − | 0.101087i | \(-0.967768\pi\) |
0.584983 | + | 0.811046i | \(0.301101\pi\) | |||||||
\(390\) | 2.18134e17 | − | 1.25940e17i | 0.158954 | − | 0.0917722i | ||||
\(391\) | 3.74930e18i | 2.68357i | ||||||||
\(392\) | 3.46741e16 | + | 5.01675e17i | 0.0243782 | + | 0.352712i | ||||
\(393\) | −8.36633e15 | −0.00577813 | ||||||||
\(394\) | −1.97375e17 | − | 3.41864e17i | −0.133912 | − | 0.231942i | ||||
\(395\) | −2.03247e17 | − | 1.17345e17i | −0.135470 | − | 0.0782138i | ||||
\(396\) | −4.96311e17 | + | 8.59636e17i | −0.325003 | + | 0.562922i | ||||
\(397\) | 2.24764e18 | − | 1.29768e18i | 1.44608 | − | 0.834897i | 0.447839 | − | 0.894114i | \(-0.352194\pi\) |
0.998245 | + | 0.0592169i | \(0.0188604\pi\) | |||||||
\(398\) | − | 1.24792e17i | − | 0.0788872i | ||||||
\(399\) | −4.85555e17 | − | 4.53153e17i | −0.301598 | − | 0.281472i | ||||
\(400\) | 2.22253e17 | 0.135652 | ||||||||
\(401\) | −1.54583e18 | − | 2.67745e18i | −0.927150 | − | 1.60587i | −0.788066 | − | 0.615591i | \(-0.788918\pi\) |
−0.139084 | − | 0.990281i | \(-0.544416\pi\) | |||||||
\(402\) | 4.74555e17 | + | 2.73985e17i | 0.279708 | + | 0.161489i | ||||
\(403\) | 5.16271e17 | − | 8.94207e17i | 0.299049 | − | 0.517968i | ||||
\(404\) | 5.60324e17 | − | 3.23503e17i | 0.318985 | − | 0.184166i | ||||
\(405\) | 6.74507e17i | 0.377400i | ||||||||
\(406\) | 4.37799e17 | − | 1.89283e18i | 0.240765 | − | 1.04095i | ||||
\(407\) | 1.01739e16 | 0.00549956 | ||||||||
\(408\) | −2.24261e17 | − | 3.88431e17i | −0.119161 | − | 0.206392i | ||||
\(409\) | 2.29789e18 | + | 1.32669e18i | 1.20024 | + | 0.692957i | 0.960608 | − | 0.277908i | \(-0.0896411\pi\) |
0.239628 | + | 0.970865i | \(0.422974\pi\) | |||||||
\(410\) | −6.35127e17 | + | 1.10007e18i | −0.326117 | + | 0.564852i | ||||
\(411\) | −8.39501e17 | + | 4.84686e17i | −0.423768 | + | 0.244663i | ||||
\(412\) | − | 1.32086e18i | − | 0.655504i | ||||||
\(413\) | −5.16023e17 | − | 1.69027e18i | −0.251778 | − | 0.824719i | ||||
\(414\) | −1.95363e18 | −0.937218 | ||||||||
\(415\) | −7.66500e17 | − | 1.32762e18i | −0.361556 | − | 0.626233i | ||||
\(416\) | 3.21394e17 | + | 1.85557e17i | 0.149068 | + | 0.0860646i | ||||
\(417\) | 6.95785e17 | − | 1.20514e18i | 0.317339 | − | 0.549646i | ||||
\(418\) | −2.19943e18 | + | 1.26984e18i | −0.986455 | + | 0.569530i | ||||
\(419\) | − | 3.49977e18i | − | 1.54362i | −0.635852 | − | 0.771811i | \(-0.719351\pi\) | ||
0.635852 | − | 0.771811i | \(-0.280649\pi\) | |||||||
\(420\) | −2.93895e17 | + | 8.97231e16i | −0.127481 | + | 0.0389188i | ||||
\(421\) | −7.81184e16 | −0.0333257 | −0.0166628 | − | 0.999861i | \(-0.505304\pi\) | ||||
−0.0166628 | + | 0.999861i | \(0.505304\pi\) | |||||||
\(422\) | 1.74346e17 | + | 3.01977e17i | 0.0731519 | + | 0.126703i | ||||
\(423\) | 1.31323e18 | + | 7.58196e17i | 0.541951 | + | 0.312895i | ||||
\(424\) | −5.24667e17 | + | 9.08750e17i | −0.212972 | + | 0.368878i | ||||
\(425\) | −2.01263e18 | + | 1.16199e18i | −0.803604 | + | 0.463961i | ||||
\(426\) | 1.03512e17i | 0.0406558i | ||||||||
\(427\) | 1.63985e18 | + | 3.79287e17i | 0.633593 | + | 0.146545i | ||||
\(428\) | 5.04309e17 | 0.191686 | ||||||||
\(429\) | −7.89886e17 | − | 1.36812e18i | −0.295368 | − | 0.511593i | ||||
\(430\) | 5.51382e17 | + | 3.18340e17i | 0.202849 | + | 0.117115i | ||||
\(431\) | 8.81897e17 | − | 1.52749e18i | 0.319210 | − | 0.552888i | −0.661113 | − | 0.750286i | \(-0.729916\pi\) |
0.980323 | + | 0.197398i | \(0.0632490\pi\) | |||||||
\(432\) | 4.42028e17 | − | 2.55205e17i | 0.157421 | − | 0.0908872i | ||||
\(433\) | − | 5.49478e17i | − | 0.192546i | −0.995355 | − | 0.0962731i | \(-0.969308\pi\) | ||
0.995355 | − | 0.0962731i | \(-0.0306922\pi\) | |||||||
\(434\) | −8.59463e17 | + | 9.20916e17i | −0.296346 | + | 0.317535i | ||||
\(435\) | 1.18717e18 | 0.402799 | ||||||||
\(436\) | 3.73751e17 | + | 6.47356e17i | 0.124789 | + | 0.216141i | ||||
\(437\) | −4.32882e18 | − | 2.49925e18i | −1.42233 | − | 0.821182i | ||||
\(438\) | 5.13828e17 | − | 8.89977e17i | 0.166150 | − | 0.287780i | ||||
\(439\) | −7.26767e17 | + | 4.19599e17i | −0.231283 | + | 0.133531i | −0.611164 | − | 0.791504i | \(-0.709298\pi\) |
0.379881 | + | 0.925035i | \(0.375965\pi\) | |||||||
\(440\) | 1.17503e18i | 0.368027i | ||||||||
\(441\) | 2.27273e18 | − | 1.53031e18i | 0.700611 | − | 0.471746i | ||||
\(442\) | −3.88056e18 | −1.17744 | ||||||||
\(443\) | 1.03363e18 | + | 1.79031e18i | 0.308703 | + | 0.534689i | 0.978079 | − | 0.208235i | \(-0.0667718\pi\) |
−0.669376 | + | 0.742924i | \(0.733439\pi\) | |||||||
\(444\) | −2.07449e15 | − | 1.19771e15i | −0.000609861 | − | 0.000352104i | ||||
\(445\) | −2.95604e16 | + | 5.12000e16i | −0.00855440 | + | 0.0148167i | ||||
\(446\) | 2.51728e18 | − | 1.45335e18i | 0.717112 | − | 0.414025i | ||||
\(447\) | 1.90176e18i | 0.533338i | ||||||||
\(448\) | −3.30994e17 | − | 3.08907e17i | −0.0913848 | − | 0.0852866i | ||||
\(449\) | 3.35365e18 | 0.911576 | 0.455788 | − | 0.890088i | \(-0.349357\pi\) | ||||
0.455788 | + | 0.890088i | \(0.349357\pi\) | |||||||
\(450\) | −6.05475e17 | − | 1.04871e18i | −0.162035 | − | 0.280653i | ||||
\(451\) | 6.89958e18 | + | 3.98347e18i | 1.81797 | + | 1.04961i | ||||
\(452\) | 1.38763e17 | − | 2.40345e17i | 0.0360002 | − | 0.0623542i | ||||
\(453\) | 1.12879e18 | − | 6.51706e17i | 0.288353 | − | 0.166481i | ||||
\(454\) | 1.97376e18i | 0.496481i | ||||||||
\(455\) | −5.99099e17 | + | 2.59022e18i | −0.148395 | + | 0.641588i | ||||
\(456\) | 5.97961e17 | 0.145854 | ||||||||
\(457\) | 1.18023e18 | + | 2.04422e18i | 0.283500 | + | 0.491037i | 0.972244 | − | 0.233968i | \(-0.0751710\pi\) |
−0.688744 | + | 0.725004i | \(0.741838\pi\) | |||||||
\(458\) | −5.14716e17 | − | 2.97172e17i | −0.121761 | − | 0.0702990i | ||||
\(459\) | −2.66855e18 | + | 4.62207e18i | −0.621709 | + | 1.07683i | ||||
\(460\) | −2.00280e18 | + | 1.15632e18i | −0.459550 | + | 0.265322i | ||||
\(461\) | − | 2.47332e17i | − | 0.0558952i | −0.999609 | − | 0.0279476i | \(-0.991103\pi\) | ||
0.999609 | − | 0.0279476i | \(-0.00889715\pi\) | |||||||
\(462\) | 5.62737e17 | + | 1.84329e18i | 0.125260 | + | 0.410298i | ||||
\(463\) | −4.53486e18 | −0.994253 | −0.497126 | − | 0.867678i | \(-0.665612\pi\) | ||||
−0.497126 | + | 0.867678i | \(0.665612\pi\) | |||||||
\(464\) | 8.74577e17 | + | 1.51481e18i | 0.188874 | + | 0.327139i | ||||
\(465\) | −6.66609e17 | − | 3.84867e17i | −0.141808 | − | 0.0818728i | ||||
\(466\) | −9.08543e17 | + | 1.57364e18i | −0.190390 | + | 0.329765i | ||||
\(467\) | −2.43120e18 | + | 1.40366e18i | −0.501884 | + | 0.289763i | −0.729491 | − | 0.683990i | \(-0.760243\pi\) |
0.227607 | + | 0.973753i | \(0.426910\pi\) | |||||||
\(468\) | − | 2.02203e18i | − | 0.411212i | ||||||
\(469\) | −5.53178e18 | + | 1.68880e18i | −1.10829 | + | 0.338351i | ||||
\(470\) | 1.79505e18 | 0.354316 | ||||||||
\(471\) | −1.76558e17 | − | 3.05808e17i | −0.0343354 | − | 0.0594706i | ||||
\(472\) | 1.37796e18 | + | 7.95564e17i | 0.264023 | + | 0.152434i | ||||
\(473\) | 1.99661e18 | − | 3.45823e18i | 0.376933 | − | 0.652868i | ||||
\(474\) | 3.00135e17 | − | 1.73283e17i | 0.0558301 | − | 0.0322335i | ||||
\(475\) | − | 3.09830e18i | − | 0.567894i | ||||||
\(476\) | 4.61239e18 | + | 1.06681e18i | 0.833063 | + | 0.192682i | ||||
\(477\) | 5.71732e18 | 1.01757 | ||||||||
\(478\) | −1.90940e18 | − | 3.30718e18i | −0.334890 | − | 0.580046i | ||||
\(479\) | −2.56464e18 | − | 1.48070e18i | −0.443280 | − | 0.255928i | 0.261708 | − | 0.965147i | \(-0.415714\pi\) |
−0.704988 | + | 0.709219i | \(0.749048\pi\) | |||||||
\(480\) | 1.38328e17 | − | 2.39591e17i | 0.0235625 | − | 0.0408115i | ||||
\(481\) | −1.79483e16 | + | 1.03624e16i | −0.00301306 | + | 0.00173959i | ||||
\(482\) | − | 2.67633e18i | − | 0.442802i | ||||||
\(483\) | −2.58805e18 | + | 2.77310e18i | −0.422030 | + | 0.452206i | ||||
\(484\) | 4.25879e18 | 0.684492 | ||||||||
\(485\) | 1.03399e18 | + | 1.79092e18i | 0.163804 | + | 0.283716i | ||||
\(486\) | −3.71403e18 | − | 2.14430e18i | −0.579951 | − | 0.334835i | ||||
\(487\) | −1.89194e18 | + | 3.27693e18i | −0.291208 | + | 0.504388i | −0.974096 | − | 0.226136i | \(-0.927391\pi\) |
0.682887 | + | 0.730524i | \(0.260724\pi\) | |||||||
\(488\) | −1.31235e18 | + | 7.57688e17i | −0.199119 | + | 0.114961i | ||||
\(489\) | 4.54967e18i | 0.680484i | ||||||||
\(490\) | 1.42417e18 | − | 2.91401e18i | 0.209985 | − | 0.429653i | ||||
\(491\) | −2.65019e17 | −0.0385218 | −0.0192609 | − | 0.999814i | \(-0.506131\pi\) | ||||
−0.0192609 | + | 0.999814i | \(0.506131\pi\) | |||||||
\(492\) | −9.37895e17 | − | 1.62448e18i | −0.134400 | − | 0.232787i | ||||
\(493\) | −1.58396e19 | − | 9.14502e18i | −2.23778 | − | 1.29198i | ||||
\(494\) | 2.58674e18 | − | 4.48037e18i | 0.360300 | − | 0.624059i | ||||
\(495\) | 5.54445e18 | − | 3.20109e18i | 0.761416 | − | 0.439604i | ||||
\(496\) | − | 1.13411e18i | − | 0.153562i | ||||||
\(497\) | −7.98754e17 | − | 7.45452e17i | −0.106639 | − | 0.0995234i | ||||
\(498\) | 2.26379e18 | 0.298009 | ||||||||
\(499\) | 1.92065e18 | + | 3.32666e18i | 0.249312 | + | 0.431822i | 0.963335 | − | 0.268301i | \(-0.0864621\pi\) |
−0.714023 | + | 0.700122i | \(0.753129\pi\) | |||||||
\(500\) | −3.52931e18 | − | 2.03765e18i | −0.451752 | − | 0.260819i | ||||
\(501\) | 3.02277e18 | − | 5.23558e18i | 0.381540 | − | 0.660847i | ||||
\(502\) | 2.32661e18 | − | 1.34327e18i | 0.289599 | − | 0.167200i | ||||
\(503\) | − | 8.78543e18i | − | 1.07842i | −0.842172 | − | 0.539209i | \(-0.818723\pi\) | ||
0.842172 | − | 0.539209i | \(-0.181277\pi\) | |||||||
\(504\) | −5.55880e17 | + | 2.40336e18i | −0.0672926 | + | 0.290941i | ||||
\(505\) | −4.17304e18 | −0.498211 | ||||||||
\(506\) | 7.25235e18 | + | 1.25614e19i | 0.853935 | + | 1.47906i | ||||
\(507\) | −1.52530e17 | − | 8.80632e16i | −0.0177133 | − | 0.0102268i | ||||
\(508\) | 1.80485e18 | − | 3.12610e18i | 0.206726 | − | 0.358061i | ||||
\(509\) | 7.49323e18 | − | 4.32622e18i | 0.846535 | − | 0.488747i | −0.0129454 | − | 0.999916i | \(-0.504121\pi\) |
0.859480 | + | 0.511169i | \(0.170787\pi\) | |||||||
\(510\) | 2.89286e18i | 0.322356i | ||||||||
\(511\) | 3.16716e18 | + | 1.03743e19i | 0.348115 | + | 1.14028i | ||||
\(512\) | 4.07619e17 | 0.0441942 | ||||||||
\(513\) | −3.55766e18 | − | 6.16205e18i | −0.380490 | − | 0.659028i | ||||
\(514\) | −7.57468e18 | − | 4.37324e18i | −0.799139 | − | 0.461383i | ||||
\(515\) | −4.25961e18 | + | 7.37786e18i | −0.443322 | + | 0.767856i | ||||
\(516\) | −8.14227e17 | + | 4.70094e17i | −0.0835983 | + | 0.0482655i | ||||
\(517\) | − | 1.12584e19i | − | 1.14036i | ||||||
\(518\) | 2.41819e16 | − | 7.38249e15i | 0.00241647 | − | 0.000737725i | ||||
\(519\) | 2.82669e18 | 0.278681 | ||||||||
\(520\) | −1.19680e18 | − | 2.07292e18i | −0.116412 | − | 0.201632i | ||||
\(521\) | 1.45792e19 | + | 8.41731e18i | 1.39917 | + | 0.807810i | 0.994305 | − | 0.106568i | \(-0.0339861\pi\) |
0.404862 | + | 0.914378i | \(0.367319\pi\) | |||||||
\(522\) | 4.76516e18 | − | 8.25349e18i | 0.451215 | − | 0.781527i | ||||
\(523\) | 2.13207e18 | − | 1.23095e18i | 0.199200 | − | 0.115008i | −0.397082 | − | 0.917783i | \(-0.629977\pi\) |
0.596282 | + | 0.802775i | \(0.296644\pi\) | |||||||
\(524\) | 7.95047e16i | 0.00732949i | ||||||||
\(525\) | −2.29070e18 | − | 5.29824e17i | −0.208379 | − | 0.0481966i | ||||
\(526\) | −5.40357e18 | −0.485044 | ||||||||
\(527\) | 5.92941e18 | + | 1.02700e19i | 0.525215 | + | 0.909699i | ||||
\(528\) | −1.50270e18 | − | 8.67584e17i | −0.131351 | − | 0.0758358i | ||||
\(529\) | −8.47731e18 | + | 1.46831e19i | −0.731254 | + | 1.26657i | ||||
\(530\) | 5.86122e18 | − | 3.38398e18i | 0.498950 | − | 0.288069i | ||||
\(531\) | − | 8.66931e18i | − | 0.728321i | ||||||
\(532\) | −4.30629e18 | + | 4.61420e18i | −0.357044 | + | 0.382573i | ||||
\(533\) | −1.62291e19 | −1.32802 | ||||||||
\(534\) | −4.36519e16 | − | 7.56073e16i | −0.00352545 | − | 0.00610625i | ||||
\(535\) | −2.81690e18 | − | 1.62634e18i | −0.224540 | − | 0.129638i | ||||
\(536\) | 2.60366e18 | − | 4.50967e18i | 0.204847 | − | 0.354806i | ||||
\(537\) | 3.27598e18 | − | 1.89139e18i | 0.254402 | − | 0.146879i | ||||
\(538\) | 1.74142e19i | 1.33483i | ||||||||
\(539\) | −1.82764e19 | − | 8.93227e18i | −1.38283 | − | 0.675834i | ||||
\(540\) | −3.29202e18 | −0.245870 | ||||||||
\(541\) | 9.42386e18 | + | 1.63226e19i | 0.694781 | + | 1.20340i | 0.970254 | + | 0.242088i | \(0.0778322\pi\) |
−0.275473 | + | 0.961309i | \(0.588834\pi\) | |||||||
\(542\) | 5.05437e18 | + | 2.91814e18i | 0.367851 | + | 0.212379i | ||||
\(543\) | −1.00406e17 | + | 1.73909e17i | −0.00721376 | + | 0.0124946i | ||||
\(544\) | −3.69124e18 | + | 2.13114e18i | −0.261806 | + | 0.151154i | ||||
\(545\) | − | 4.82121e18i | − | 0.337583i | ||||||
\(546\) | −2.87019e18 | − | 2.67866e18i | −0.198409 | − | 0.185169i | ||||
\(547\) | 4.25712e18 | 0.290539 | 0.145270 | − | 0.989392i | \(-0.453595\pi\) | ||||
0.145270 | + | 0.989392i | \(0.453595\pi\) | |||||||
\(548\) | 4.60594e18 | + | 7.97773e18i | 0.310352 | + | 0.537546i | ||||
\(549\) | 7.15040e18 | + | 4.12828e18i | 0.475690 | + | 0.274640i | ||||
\(550\) | −4.49533e18 | + | 7.78615e18i | −0.295273 | + | 0.511427i | ||||
\(551\) | 2.11171e19 | − | 1.21920e19i | 1.36953 | − | 0.790701i | ||||
\(552\) | − | 3.41508e18i | − | 0.218689i | ||||||
\(553\) | −8.24312e17 | + | 3.56393e18i | −0.0521213 | + | 0.225348i | ||||
\(554\) | −1.33654e19 | −0.834473 | ||||||||
\(555\) | 7.72494e15 | + | 1.33800e16i | 0.000476260 | + | 0.000824907i | ||||
\(556\) | −1.14523e19 | − | 6.61200e18i | −0.697221 | − | 0.402540i | ||||
\(557\) | −3.65174e18 | + | 6.32500e18i | −0.219540 | + | 0.380254i | −0.954667 | − | 0.297675i | \(-0.903789\pi\) |
0.735128 | + | 0.677929i | \(0.237122\pi\) | |||||||
\(558\) | −5.35136e18 | + | 3.08961e18i | −0.317706 | + | 0.183428i | ||||
\(559\) | 8.13440e18i | 0.476917i | ||||||||
\(560\) | 8.52633e17 | + | 2.79286e18i | 0.0493680 | + | 0.161709i | ||||
\(561\) | 1.81438e19 | 1.03750 | ||||||||
\(562\) | 4.00357e18 | + | 6.93439e18i | 0.226096 | + | 0.391611i | ||||
\(563\) | −5.96440e18 | − | 3.44355e18i | −0.332666 | − | 0.192065i | 0.324358 | − | 0.945934i | \(-0.394852\pi\) |
−0.657024 | + | 0.753870i | \(0.728185\pi\) | |||||||
\(564\) | −1.32538e18 | + | 2.29562e18i | −0.0730106 | + | 0.126458i | ||||
\(565\) | −1.55017e18 | + | 8.94990e17i | −0.0843411 | + | 0.0486944i | ||||
\(566\) | 1.37119e19i | 0.736858i | ||||||||
\(567\) | 1.00552e19 | − | 3.06974e18i | 0.533713 | − | 0.162937i | ||||
\(568\) | 9.83665e17 | 0.0515714 | ||||||||
\(569\) | 1.00207e18 | + | 1.73564e18i | 0.0518936 | + | 0.0898823i | 0.890805 | − | 0.454385i | \(-0.150141\pi\) |
−0.838912 | + | 0.544267i | \(0.816808\pi\) | |||||||
\(570\) | −3.34000e18 | − | 1.92835e18i | −0.170853 | − | 0.0986421i | ||||
\(571\) | 1.41738e19 | − | 2.45497e19i | 0.716196 | − | 1.24049i | −0.246300 | − | 0.969194i | \(-0.579215\pi\) |
0.962496 | − | 0.271295i | \(-0.0874518\pi\) | |||||||
\(572\) | −1.30012e19 | + | 7.50624e18i | −0.648950 | + | 0.374671i | ||||
\(573\) | − | 2.39400e18i | − | 0.118043i | ||||||
\(574\) | 1.92898e19 | + | 4.46158e18i | 0.939601 | + | 0.217323i | ||||
\(575\) | −1.76950e19 | −0.851483 | ||||||||
\(576\) | −1.11046e18 | − | 1.92338e18i | −0.0527894 | − | 0.0914339i | ||||
\(577\) | 3.20756e19 | + | 1.85188e19i | 1.50641 | + | 0.869727i | 0.999972 | + | 0.00745083i | \(0.00237169\pi\) |
0.506439 | + | 0.862276i | \(0.330962\pi\) | |||||||
\(578\) | 1.46644e19 | − | 2.53994e19i | 0.680406 | − | 1.17850i | ||||
\(579\) | 1.08246e19 | − | 6.24959e18i | 0.496206 | − | 0.286485i | ||||
\(580\) | − | 1.12816e19i | − | 0.510947i | ||||||
\(581\) | −1.63029e19 | + | 1.74686e19i | −0.729513 | + | 0.781675i | ||||
\(582\) | −3.05379e18 | −0.135014 | ||||||||
\(583\) | −2.12241e19 | − | 3.67612e19i | −0.927147 | − | 1.60587i | ||||
\(584\) | −8.45740e18 | − | 4.88288e18i | −0.365045 | − | 0.210759i | ||||
\(585\) | −6.52080e18 | + | 1.12944e19i | −0.278106 | + | 0.481693i | ||||
\(586\) | 9.40961e18 | − | 5.43264e18i | 0.396541 | − | 0.228943i | ||||
\(587\) | 9.55103e17i | 0.0397726i | 0.999802 | + | 0.0198863i | \(0.00633042\pi\) | ||||
−0.999802 | + | 0.0198863i | \(0.993670\pi\) | |||||||
\(588\) | 2.67508e18 | + | 3.97287e18i | 0.110077 | + | 0.163480i | ||||
\(589\) | −1.58099e19 | −0.642870 | ||||||||
\(590\) | −5.13120e18 | − | 8.88750e18i | −0.206184 | − | 0.357121i | ||||
\(591\) | −3.25605e18 | − | 1.87988e18i | −0.129294 | − | 0.0746480i | ||||
\(592\) | −1.13818e16 | + | 1.97138e16i | −0.000446640 | + | 0.000773603i | ||||
\(593\) | 2.10659e19 | − | 1.21624e19i | 0.816953 | − | 0.471668i | −0.0324113 | − | 0.999475i | \(-0.510319\pi\) |
0.849365 | + | 0.527806i | \(0.176985\pi\) | |||||||
\(594\) | 2.06473e19i | 0.791332i | ||||||||
\(595\) | −2.23229e19 | − | 2.08333e19i | −0.845536 | − | 0.789113i | ||||
\(596\) | 1.80723e19 | 0.676534 | ||||||||
\(597\) | −5.94286e17 | − | 1.02933e18i | −0.0219874 | − | 0.0380834i | ||||
\(598\) | −2.55883e19 | − | 1.47734e19i | −0.935694 | − | 0.540223i | ||||
\(599\) | 1.40869e19 | − | 2.43993e19i | 0.509131 | − | 0.881840i | −0.490814 | − | 0.871265i | \(-0.663300\pi\) |
0.999944 | − | 0.0105754i | \(-0.00336631\pi\) | |||||||
\(600\) | 1.83322e18 | − | 1.05841e18i | 0.0654871 | − | 0.0378090i | ||||
\(601\) | − | 7.76795e18i | − | 0.274274i | −0.990552 | − | 0.137137i | \(-0.956210\pi\) | ||
0.990552 | − | 0.137137i | \(-0.0437901\pi\) | |||||||
\(602\) | 2.23625e18 | − | 9.66847e18i | 0.0780449 | − | 0.337429i | ||||
\(603\) | −2.83722e19 | −0.978751 | ||||||||
\(604\) | −6.19312e18 | − | 1.07268e19i | −0.211179 | − | 0.365773i | ||||
\(605\) | −2.37881e19 | − | 1.37341e19i | −0.801812 | − | 0.462926i | ||||
\(606\) | 3.08117e18 | − | 5.33675e18i | 0.102662 | − | 0.177815i | ||||
\(607\) | −2.87710e19 | + | 1.66109e19i | −0.947619 | + | 0.547108i | −0.892340 | − | 0.451363i | \(-0.850938\pi\) |
−0.0552784 | + | 0.998471i | \(0.517605\pi\) | |||||||
\(608\) | − | 5.68238e18i | − | 0.185014i | ||||||
\(609\) | −5.40292e18 | − | 1.76977e19i | −0.173903 | − | 0.569633i | ||||
\(610\) | 9.77382e18 | 0.310996 | ||||||||
\(611\) | 1.14670e19 | + | 1.98614e19i | 0.360713 | + | 0.624773i | ||||
\(612\) | 2.01118e19 | + | 1.16116e19i | 0.625448 | + | 0.361103i | ||||
\(613\) | −2.00344e19 | + | 3.47006e19i | −0.615960 | + | 1.06687i | 0.374255 | + | 0.927326i | \(0.377898\pi\) |
−0.990215 | + | 0.139548i | \(0.955435\pi\) | |||||||
\(614\) | 1.14258e18 | − | 6.59668e17i | 0.0347302 | − | 0.0200515i | ||||
\(615\) | 1.20984e19i | 0.363582i | ||||||||
\(616\) | 1.75166e19 | − | 5.34765e18i | 0.520458 | − | 0.158891i | ||||
\(617\) | 4.16417e19 | 1.22330 | 0.611650 | − | 0.791129i | \(-0.290506\pi\) | ||||
0.611650 | + | 0.791129i | \(0.290506\pi\) | |||||||
\(618\) | −6.29018e18 | − | 1.08949e19i | −0.182702 | − | 0.316449i | ||||
\(619\) | 4.32091e19 | + | 2.49468e19i | 1.24091 | + | 0.716440i | 0.969280 | − | 0.245961i | \(-0.0791035\pi\) |
0.271631 | + | 0.962401i | \(0.412437\pi\) | |||||||
\(620\) | −3.65737e18 | + | 6.33474e18i | −0.103855 | + | 0.179882i | ||||
\(621\) | −3.51928e19 | + | 2.03185e19i | −0.988125 | + | 0.570494i | ||||
\(622\) | 1.32558e19i | 0.368021i | ||||||||
\(623\) | 8.97792e17 | + | 2.07653e17i | 0.0246467 | + | 0.00570062i | ||||
\(624\) | 3.53464e18 | 0.0959517 | ||||||||
\(625\) | 3.03548e18 | + | 5.25760e18i | 0.0814830 | + | 0.141133i | ||||
\(626\) | 1.88093e19 | + | 1.08596e19i | 0.499290 | + | 0.288265i | ||||
\(627\) | −1.20945e19 | + | 2.09483e19i | −0.317479 | + | 0.549889i | ||||
\(628\) | −2.90607e18 | + | 1.67782e18i | −0.0754378 | + | 0.0435541i | ||||
\(629\) | − | 2.38027e17i | − | 0.00611043i | ||||||
\(630\) | 1.08555e19 | − | 1.16317e19i | 0.275592 | − | 0.295297i | ||||
\(631\) | 3.91315e19 | 0.982475 | 0.491237 | − | 0.871026i | \(-0.336545\pi\) | ||||
0.491237 | + | 0.871026i | \(0.336545\pi\) | |||||||
\(632\) | −1.64670e18 | − | 2.85217e18i | −0.0408879 | − | 0.0708199i | ||||
\(633\) | 2.87614e18 | + | 1.66054e18i | 0.0706292 | + | 0.0407778i | ||||
\(634\) | 1.78797e19 | − | 3.09685e19i | 0.434245 | − | 0.752134i | ||||
\(635\) | −2.01626e19 | + | 1.16409e19i | −0.484318 | + | 0.279621i | ||||
\(636\) | 9.99426e18i | 0.237438i | ||||||||
\(637\) | 4.13400e19 | − | 2.85728e18i | 0.971392 | − | 0.0671393i | ||||
\(638\) | −7.07575e19 | −1.64448 | ||||||||
\(639\) | −2.67976e18 | − | 4.64149e18i | −0.0616014 | − | 0.106697i | ||||
\(640\) | −2.27682e18 | − | 1.31452e18i | −0.0517689 | − | 0.0298888i | ||||
\(641\) | −2.94294e19 | + | 5.09732e19i | −0.661873 | + | 1.14640i | 0.318250 | + | 0.948007i | \(0.396905\pi\) |
−0.980123 | + | 0.198391i | \(0.936428\pi\) | |||||||
\(642\) | 4.15972e18 | − | 2.40162e18i | 0.0925378 | − | 0.0534267i | ||||
\(643\) | − | 9.22815e18i | − | 0.203066i | −0.994832 | − | 0.101533i | \(-0.967625\pi\) | ||
0.994832 | − | 0.101533i | \(-0.0323748\pi\) | |||||||
\(644\) | 2.63526e19 | + | 2.45941e19i | 0.573618 | + | 0.535340i | ||||
\(645\) | 6.06399e18 | 0.130569 | ||||||||
\(646\) | 2.97090e19 | + | 5.14574e19i | 0.632790 | + | 1.09602i | ||||
\(647\) | −7.26734e18 | − | 4.19580e18i | −0.153125 | − | 0.0884066i | 0.421480 | − | 0.906838i | \(-0.361511\pi\) |
−0.574605 | + | 0.818431i | \(0.694844\pi\) | |||||||
\(648\) | −4.73269e18 | + | 8.19726e18i | −0.0986468 | + | 0.170861i | ||||
\(649\) | −5.57418e19 | + | 3.21825e19i | −1.14939 | + | 0.663602i | ||||
\(650\) | − | 1.83145e19i | − | 0.373595i | ||||||
\(651\) | −2.70358e18 | + | 1.16890e19i | −0.0545597 | + | 0.235890i | ||||
\(652\) | 4.32352e19 | 0.863186 | ||||||||
\(653\) | −3.35947e19 | − | 5.81877e19i | −0.663557 | − | 1.14931i | −0.979674 | − | 0.200594i | \(-0.935713\pi\) |
0.316118 | − | 0.948720i | \(-0.397621\pi\) | |||||||
\(654\) | 6.16567e18 | + | 3.55975e18i | 0.120486 | + | 0.0695625i | ||||
\(655\) | 2.56393e17 | − | 4.44086e17i | 0.00495698 | − | 0.00858575i | ||||
\(656\) | −1.54373e19 | + | 8.91275e18i | −0.295288 | + | 0.170485i | ||||
\(657\) | 5.32090e19i | 1.00700i | ||||||||
\(658\) | −8.16941e18 | − | 2.67595e19i | −0.152971 | − | 0.501069i | ||||
\(659\) | 7.80431e19 | 1.44589 | 0.722947 | − | 0.690903i | \(-0.242787\pi\) | ||||
0.722947 | + | 0.690903i | \(0.242787\pi\) | |||||||
\(660\) | 5.59571e18 | + | 9.69206e18i | 0.102577 | + | 0.177668i | ||||
\(661\) | 4.15373e19 | + | 2.39816e19i | 0.753404 | + | 0.434978i | 0.826923 | − | 0.562316i | \(-0.190089\pi\) |
−0.0735183 | + | 0.997294i | \(0.523423\pi\) | |||||||
\(662\) | −1.60901e19 | + | 2.78689e19i | −0.288771 | + | 0.500166i | ||||
\(663\) | −3.20083e19 | + | 1.84800e19i | −0.568418 | + | 0.328176i | ||||
\(664\) | − | 2.15126e19i | − | 0.378022i | ||||||
\(665\) | 3.89337e19 | − | 1.18861e19i | 0.676977 | − | 0.206674i | ||||
\(666\) | 1.24028e17 | 0.00213402 | ||||||||
\(667\) | −6.96308e19 | − | 1.20604e20i | −1.18555 | − | 2.05344i | ||||
\(668\) | −4.97534e19 | − | 2.87252e19i | −0.838278 | − | 0.483980i | ||||
\(669\) | 1.38423e19 | − | 2.39755e19i | 0.230794 | − | 0.399747i | ||||
\(670\) | −2.90863e19 | + | 1.67930e19i | −0.479916 | + | 0.277079i | ||||
\(671\) | − | 6.13007e19i | − | 1.00094i | ||||||
\(672\) | −4.20123e18 | − | 9.71715e17i | −0.0678878 | − | 0.0157020i | ||||
\(673\) | 6.21850e18 | 0.0994443 | 0.0497222 | − | 0.998763i | \(-0.484166\pi\) | ||||
0.0497222 | + | 0.998763i | \(0.484166\pi\) | |||||||
\(674\) | −3.26640e19 | − | 5.65756e19i | −0.516951 | − | 0.895386i | ||||
\(675\) | −2.18141e19 | − | 1.25944e19i | −0.341673 | − | 0.197265i | ||||
\(676\) | −8.36859e17 | + | 1.44948e18i | −0.0129726 | + | 0.0224691i | ||||
\(677\) | 3.06290e18 | − | 1.76837e18i | 0.0469907 | − | 0.0271301i | −0.476321 | − | 0.879272i | \(-0.658030\pi\) |
0.523311 | + | 0.852142i | \(0.324696\pi\) | |||||||
\(678\) | − | 2.64327e18i | − | 0.0401359i | ||||||
\(679\) | 2.19922e19 | − | 2.35647e19i | 0.330507 | − | 0.354139i | ||||
\(680\) | 2.74907e19 | 0.408906 | ||||||||
\(681\) | 9.39941e18 | + | 1.62802e19i | 0.138379 | + | 0.239680i | ||||
\(682\) | 3.97311e19 | + | 2.29387e19i | 0.578948 | + | 0.334256i | ||||
\(683\) | −4.62063e19 | + | 8.00316e19i | −0.666432 | + | 1.15429i | 0.312463 | + | 0.949930i | \(0.398846\pi\) |
−0.978895 | + | 0.204364i | \(0.934487\pi\) | |||||||
\(684\) | −2.68127e19 | + | 1.54803e19i | −0.382779 | + | 0.220997i | ||||
\(685\) | − | 5.94145e19i | − | 0.839573i | ||||||
\(686\) | −4.99218e19 | − | 7.96875e18i | −0.698267 | − | 0.111461i | ||||
\(687\) | −5.66075e18 | −0.0783749 | ||||||||
\(688\) | 4.46728e18 | + | 7.73755e18i | 0.0612243 | + | 0.106044i | ||||
\(689\) | 7.48845e19 | + | 4.32346e19i | 1.01592 | + | 0.586539i | ||||
\(690\) | −1.10132e19 | + | 1.90755e19i | −0.147901 | + | 0.256172i | ||||
\(691\) | 9.81500e19 | − | 5.66669e19i | 1.30480 | − | 0.753327i | 0.323577 | − | 0.946202i | \(-0.395114\pi\) |
0.981223 | + | 0.192875i | \(0.0617812\pi\) | |||||||
\(692\) | − | 2.68619e19i | − | 0.353504i | ||||||
\(693\) | −7.29532e19 | − | 6.80850e19i | −0.950412 | − | 0.886990i | ||||
\(694\) | 1.04743e19 | 0.135085 | ||||||||
\(695\) | 4.26459e19 | + | 7.38648e19i | 0.544482 | + | 0.943070i | ||||
\(696\) | 1.44276e19 | + | 8.32981e18i | 0.182361 | + | 0.105286i | ||||
\(697\) | 9.31963e19 | − | 1.61421e20i | 1.16619 | − | 2.01990i | ||||
\(698\) | −3.54427e19 | + | 2.04628e19i | −0.439075 | + | 0.253500i | ||||
\(699\) | 1.73066e19i | 0.212262i | ||||||||
\(700\) | −5.03488e18 | + | 2.17684e19i | −0.0611368 | + | 0.264326i | ||||
\(701\) | −1.22869e20 | −1.47713 | −0.738564 | − | 0.674184i | \(-0.764496\pi\) | ||||
−0.738564 | + | 0.674184i | \(0.764496\pi\) | |||||||
\(702\) | −2.10299e19 | − | 3.64248e19i | −0.250309 | − | 0.433548i | ||||
\(703\) | 2.74818e17 | + | 1.58666e17i | 0.00323861 | + | 0.00186981i | ||||
\(704\) | −8.24460e18 | + | 1.42801e19i | −0.0961969 | + | 0.166618i | ||||
\(705\) | 1.48062e19 | − | 8.54837e18i | 0.171049 | − | 0.0987551i | ||||
\(706\) | 5.77294e19i | 0.660334i | ||||||||
\(707\) | 1.89919e19 | + | 6.22093e19i | 0.215096 | + | 0.704562i | ||||
\(708\) | 1.51545e19 | 0.169945 | ||||||||
\(709\) | −6.38871e19 | − | 1.10656e20i | −0.709397 | − | 1.22871i | −0.965081 | − | 0.261952i | \(-0.915634\pi\) |
0.255683 | − | 0.966761i | \(-0.417700\pi\) | |||||||
\(710\) | −5.49442e18 | − | 3.17220e18i | −0.0604106 | − | 0.0348781i | ||||
\(711\) | −8.97209e18 | + | 1.55401e19i | −0.0976802 | + | 0.169187i | ||||
\(712\) | −7.18491e17 | + | 4.14821e17i | −0.00774572 | + | 0.00447199i | ||||
\(713\) | 9.02939e19i | 0.963900i | ||||||||
\(714\) | 4.31251e19 | − | 1.31656e19i | 0.455871 | − | 0.139173i | ||||
\(715\) | 9.68270e19 | 1.01357 | ||||||||
\(716\) | −1.79737e19 | − | 3.11314e19i | −0.186315 | − | 0.322707i | ||||
\(717\) | −3.14989e19 | − | 1.81859e19i | −0.323341 | − | 0.186681i | ||||
\(718\) | −2.57398e18 | + | 4.45827e18i | −0.0261658 | + | 0.0453205i | ||||
\(719\) | 1.01909e19 | − | 5.88373e18i | 0.102591 | − | 0.0592312i | −0.447826 | − | 0.894121i | \(-0.647802\pi\) |
0.550418 | + | 0.834889i | \(0.314468\pi\) | |||||||
\(720\) | 1.43244e19i | 0.142807i | ||||||||
\(721\) | 1.29371e20 | + | 2.99225e19i | 1.27729 | + | 0.295428i | ||||
\(722\) | −6.89695e18 | −0.0674368 | ||||||||
\(723\) | −1.27452e19 | − | 2.20753e19i | −0.123418 | − | 0.213766i | ||||
\(724\) | 1.65264e18 | + | 9.54154e17i | 0.0158493 | + | 0.00915058i | ||||
\(725\) | 4.31604e19 | − | 7.47560e19i | 0.409939 | − | 0.710035i | ||||
\(726\) | 3.51280e19 | − | 2.02812e19i | 0.330443 | − | 0.190782i | ||||
\(727\) | 1.64026e20i | 1.52817i | 0.645115 | + | 0.764086i | \(0.276810\pi\) | ||||
−0.645115 | + | 0.764086i | \(0.723190\pi\) | |||||||
\(728\) | −2.54551e19 | + | 2.72752e19i | −0.234885 | + | 0.251680i | ||||
\(729\) | 2.02129e19 | 0.184730 | ||||||||
\(730\) | 3.14934e19 | + | 5.45482e19i | 0.285075 | + | 0.493765i | ||||
\(731\) | −8.09078e19 | − | 4.67121e19i | −0.725385 | − | 0.418801i | ||||
\(732\) | −7.21651e18 | + | 1.24994e19i | −0.0640840 | + | 0.110997i | ||||
\(733\) | −1.53100e20 | + | 8.83921e19i | −1.34662 | + | 0.777473i | −0.987770 | − | 0.155920i | \(-0.950166\pi\) |
−0.358854 | + | 0.933394i | \(0.616832\pi\) | |||||||
\(734\) | 5.41921e19i | 0.472132i | ||||||||
\(735\) | −2.13003e18 | − | 3.08179e19i | −0.0183812 | − | 0.265945i | ||||
\(736\) | −3.24533e19 | −0.277405 | ||||||||
\(737\) | 1.05324e20 | + | 1.82427e20i | 0.891777 | + | 1.54460i | ||||
\(738\) | 8.41108e19 | + | 4.85614e19i | 0.705435 | + | 0.407283i | ||||
\(739\) | −4.35947e19 | + | 7.55082e19i | −0.362178 | + | 0.627311i | −0.988319 | − | 0.152399i | \(-0.951300\pi\) |
0.626141 | + | 0.779710i | \(0.284633\pi\) | |||||||
\(740\) | 1.27149e17 | − | 7.34096e16i | 0.00104639 | − | 0.000604131i | ||||
\(741\) | − | 4.92743e19i | − | 0.401692i | ||||||
\(742\) | −7.71212e19 | − | 7.19749e19i | −0.622797 | − | 0.581237i | ||||
\(743\) | −1.10986e20 | −0.887866 | −0.443933 | − | 0.896060i | \(-0.646417\pi\) | ||||
−0.443933 | + | 0.896060i | \(0.646417\pi\) | |||||||
\(744\) | −5.40084e18 | − | 9.35454e18i | −0.0428007 | − | 0.0741330i | ||||
\(745\) | −1.00946e20 | − | 5.82810e19i | −0.792490 | − | 0.457544i | ||||
\(746\) | 1.28955e19 | − | 2.23356e19i | 0.100292 | − | 0.173710i | ||||
\(747\) | −1.01509e20 | + | 5.86061e19i | −0.782094 | + | 0.451542i | ||||
\(748\) | − | 1.72420e20i | − | 1.31606i | ||||||
\(749\) | −1.14245e19 | + | 4.93942e19i | −0.0863905 | + | 0.373511i | ||||
\(750\) | −3.88147e19 | −0.290782 | ||||||||
\(751\) | 8.98664e19 | + | 1.55653e20i | 0.666987 | + | 1.15526i | 0.978742 | + | 0.205094i | \(0.0657499\pi\) |
−0.311755 | + | 0.950163i | \(0.600917\pi\) | |||||||
\(752\) | 2.18151e19 | + | 1.25950e19i | 0.160411 | + | 0.0926131i | ||||
\(753\) | 1.27938e19 | − | 2.21595e19i | 0.0932042 | − | 0.161434i | ||||
\(754\) | 1.24826e20 | − | 7.20685e19i | 0.900963 | − | 0.520171i | ||||
\(755\) | 7.98883e19i | 0.571287i | ||||||||
\(756\) | 1.49823e19 | + | 4.90755e19i | 0.106151 | + | 0.347706i | ||||
\(757\) | −1.29956e20 | −0.912275 | −0.456138 | − | 0.889909i | \(-0.650768\pi\) | ||||
−0.456138 | + | 0.889909i | \(0.650768\pi\) | |||||||
\(758\) | 3.23843e19 | + | 5.60913e19i | 0.225243 | + | 0.390132i | ||||
\(759\) | 1.19640e20 | + | 6.90742e19i | 0.824487 | + | 0.476018i | ||||
\(760\) | −1.83250e19 | + | 3.17399e19i | −0.125126 | + | 0.216725i | ||||
\(761\) | 2.33157e20 | − | 1.34613e20i | 1.57745 | − | 0.910743i | 0.582240 | − | 0.813017i | \(-0.302176\pi\) |
0.995213 | − | 0.0977267i | \(-0.0311571\pi\) | |||||||
\(762\) | − | 3.43802e19i | − | 0.230475i | ||||||
\(763\) | −7.18718e19 | + | 2.19417e19i | −0.477405 | + | 0.145747i | ||||
\(764\) | −2.27500e19 | −0.149737 | ||||||||
\(765\) | −7.48919e19 | − | 1.29717e20i | −0.488433 | − | 0.845990i | ||||
\(766\) | 1.39758e20 | + | 8.06893e19i | 0.903182 | + | 0.521452i | ||||
\(767\) | 6.55576e19 | − | 1.13549e20i | 0.419813 | − | 0.727137i | ||||
\(768\) | 3.36219e18 | − | 1.94116e18i | 0.0213351 | − | 0.0123178i | ||||
\(769\) | − | 7.79508e19i | − | 0.490158i | −0.969503 | − | 0.245079i | \(-0.921186\pi\) | ||
0.969503 | − | 0.245079i | \(-0.0788140\pi\) | |||||||
\(770\) | −1.15088e20 | − | 2.66189e19i | −0.717122 | − | 0.165865i | ||||
\(771\) | −8.33049e19 | −0.514387 | ||||||||
\(772\) | −5.93895e19 | − | 1.02866e20i | −0.363403 | − | 0.629432i | ||||
\(773\) | −6.96434e19 | − | 4.02086e19i | −0.422302 | − | 0.243816i | 0.273760 | − | 0.961798i | \(-0.411733\pi\) |
−0.696062 | + | 0.717982i | \(0.745066\pi\) | |||||||
\(774\) | 2.43401e19 | − | 4.21583e19i | 0.146263 | − | 0.253335i | ||||
\(775\) | −4.84700e19 | + | 2.79841e19i | −0.288643 | + | 0.166648i | ||||
\(776\) | 2.90200e19i | 0.171264i | ||||||||
\(777\) | 1.64304e17 | − | 1.76052e17i | 0.000960952 | − | 0.00102966i | ||||
\(778\) | 1.00010e20 | 0.579679 | ||||||||
\(779\) | 1.24247e20 | + | 2.15203e20i | 0.713716 | + | 1.23619i | ||||
\(780\) | −1.97433e19 | − | 1.13988e19i | −0.112398 | − | 0.0648928i | ||||
\(781\) | −1.98958e19 | + | 3.44606e19i | −0.112255 | + | 0.194431i | ||||
\(782\) | 2.93884e20 | − | 1.69674e20i | 1.64335 | − | 0.948786i | ||||
\(783\) | − | 1.98238e20i | − | 1.09864i | ||||||
\(784\) | 3.77540e19 | − | 2.54211e19i | 0.207372 | − | 0.139631i | ||||
\(785\) | 2.16431e19 | 0.117824 | ||||||||
\(786\) | 3.78617e17 | + | 6.55783e17i | 0.00204288 | + | 0.00353836i | ||||
\(787\) | −2.15601e20 | − | 1.24477e20i | −1.15300 | − | 0.665683i | −0.203381 | − | 0.979100i | \(-0.565193\pi\) |
−0.949616 | + | 0.313416i | \(0.898526\pi\) | |||||||
\(788\) | −1.78644e19 | + | 3.09420e19i | −0.0946901 | + | 0.164008i | ||||
\(789\) | −4.45706e19 | + | 2.57329e19i | −0.234158 | + | 0.135191i | ||||
\(790\) | 2.12416e19i | 0.110611i | ||||||||
\(791\) | 2.03969e19 | + | 1.90358e19i | 0.105276 | + | 0.0982508i | ||||
\(792\) | 8.98419e19 | 0.459624 | ||||||||
\(793\) | 6.24365e19 | + | 1.08143e20i | 0.316611 | + | 0.548386i | ||||
\(794\) | −2.03433e20 | − | 1.17452e20i | −1.02254 | − | 0.590361i | ||||
\(795\) | 3.22303e19 | − | 5.58245e19i | 0.160581 | − | 0.278135i | ||||
\(796\) | −9.78169e18 | + | 5.64746e18i | −0.0483084 | + | 0.0278908i | ||||
\(797\) | 7.40235e19i | 0.362378i | 0.983448 | + | 0.181189i | \(0.0579945\pi\) | ||||
−0.983448 | + | 0.181189i | \(0.942005\pi\) | |||||||
\(798\) | −1.35461e19 | + | 5.85669e19i | −0.0657347 | + | 0.284205i | ||||
\(799\) | −2.63399e20 | −1.26703 | ||||||||
\(800\) | −1.00580e19 | − | 1.74210e19i | −0.0479603 | − | 0.0830697i | ||||
\(801\) | 3.91472e18 | + | 2.26017e18i | 0.0185043 | + | 0.0106835i | ||||
\(802\) | −1.39912e20 | + | 2.42335e20i | −0.655594 | + | 1.13552i | ||||
\(803\) | 3.42122e20 | − | 1.97524e20i | 1.58918 | − | 0.917513i | ||||
\(804\) | − | 4.95965e19i | − | 0.228380i | ||||||
\(805\) | −6.78838e19 | − | 2.22358e20i | −0.309881 | − | 1.01504i | ||||
\(806\) | −9.34550e19 | −0.422919 | ||||||||
\(807\) | 8.29296e19 | + | 1.43638e20i | 0.372044 | + | 0.644400i | ||||
\(808\) | −5.07148e19 | − | 2.92802e19i | −0.225556 | − | 0.130225i | ||||
\(809\) | 7.43623e19 | − | 1.28799e20i | 0.327879 | − | 0.567903i | −0.654212 | − | 0.756311i | \(-0.727000\pi\) |
0.982091 | + | 0.188409i | \(0.0603329\pi\) | |||||||
\(810\) | 5.28704e19 | − | 3.05247e19i | 0.231109 | − | 0.133431i | ||||
\(811\) | 1.63702e20i | 0.709428i | 0.934975 | + | 0.354714i | \(0.115422\pi\) | ||||
−0.934975 | + | 0.354714i | \(0.884578\pi\) | |||||||
\(812\) | −1.68180e20 | + | 5.13436e19i | −0.722573 | + | 0.220594i | ||||
\(813\) | 5.55870e19 | 0.236777 | ||||||||
\(814\) | −4.60420e17 | − | 7.97471e17i | −0.00194439 | − | 0.00336778i | ||||
\(815\) | −2.41497e20 | − | 1.39428e20i | −1.01113 | − | 0.583779i | ||||
\(816\) | −2.02978e19 | + | 3.51568e19i | −0.0842592 | + | 0.145941i | ||||
\(817\) | 1.07865e20 | − | 6.22757e19i | 0.443940 | − | 0.256309i | ||||
\(818\) | − | 2.40156e20i | − | 0.979989i | ||||||
\(819\) | 1.98046e20 | + | 4.58067e19i | 0.801271 | + | 0.185328i | ||||
\(820\) | 1.14970e20 | 0.461199 | ||||||||
\(821\) | −1.81784e20 | − | 3.14859e20i | −0.723025 | − | 1.25232i | −0.959782 | − | 0.280746i | \(-0.909418\pi\) |
0.236757 | − | 0.971569i | \(-0.423915\pi\) | |||||||
\(822\) | 7.59830e19 | + | 4.38688e19i | 0.299649 | + | 0.173003i | ||||
\(823\) | 1.28867e20 | − | 2.23204e20i | 0.503898 | − | 0.872776i | −0.496092 | − | 0.868270i | \(-0.665232\pi\) |
0.999990 | − | 0.00450654i | \(-0.00143448\pi\) | |||||||
\(824\) | −1.03534e20 | + | 5.97752e19i | −0.401413 | + | 0.231756i | ||||
\(825\) | 8.56306e19i | 0.329194i | ||||||||
\(826\) | −1.09137e20 | + | 1.16941e20i | −0.416018 | + | 0.445765i | ||||
\(827\) | 1.67041e20 | 0.631372 | 0.315686 | − | 0.948864i | \(-0.397765\pi\) | ||||
0.315686 | + | 0.948864i | \(0.397765\pi\) | |||||||
\(828\) | 8.84113e19 | + | 1.53133e20i | 0.331357 | + | 0.573926i | ||||
\(829\) | −1.98821e20 | − | 1.14789e20i | −0.738890 | − | 0.426598i | 0.0827754 | − | 0.996568i | \(-0.473622\pi\) |
−0.821666 | + | 0.569970i | \(0.806955\pi\) | |||||||
\(830\) | −6.93757e19 | + | 1.20162e20i | −0.255659 | + | 0.442814i | ||||
\(831\) | −1.10242e20 | + | 6.36485e19i | −0.402848 | + | 0.232585i | ||||
\(832\) | − | 3.35894e19i | − | 0.121714i | ||||||
\(833\) | −2.08977e20 | + | 4.27591e20i | −0.750902 | + | 1.53643i | ||||
\(834\) | −1.25951e20 | −0.448784 | ||||||||
\(835\) | 1.85270e20 | + | 3.20898e20i | 0.654638 | + | 1.13387i | ||||
\(836\) | 1.99070e20 | + | 1.14933e20i | 0.697529 | + | 0.402718i | ||||
\(837\) | −6.42664e19 | + | 1.11313e20i | −0.223309 | + | 0.386782i | ||||
\(838\) | −2.74325e20 | + | 1.58381e20i | −0.945272 | + | 0.545753i | ||||
\(839\) | − | 1.34567e20i | − | 0.459837i | −0.973210 | − | 0.229918i | \(-0.926154\pi\) | ||
0.973210 | − | 0.229918i | \(-0.0738459\pi\) | |||||||
\(840\) | 2.03330e19 | + | 1.89761e19i | 0.0689043 | + | 0.0643062i | ||||
\(841\) | 3.81795e20 | 1.28309 | ||||||||
\(842\) | 3.53524e18 | + | 6.12321e18i | 0.0117824 | + | 0.0204077i | ||||
\(843\) | 6.60459e19 | + | 3.81316e19i | 0.218299 | + | 0.126035i | ||||
\(844\) | 1.57800e19 | − | 2.73318e19i | 0.0517262 | − | 0.0895924i | ||||
\(845\) | 9.34882e18 | − | 5.39754e18i | 0.0303920 | − | 0.0175469i | ||||
\(846\) | − | 1.37248e20i | − | 0.442501i | ||||||
\(847\) | −9.64779e19 | + | 4.17124e20i | −0.308492 | + | 1.33377i | ||||
\(848\) | 9.49748e19 | 0.301188 | ||||||||
\(849\) | 6.52989e19 | + | 1.13101e20i | 0.205377 | + | 0.355723i | ||||
\(850\) | 1.82163e20 | + | 1.05172e20i | 0.568234 | + | 0.328070i | ||||
\(851\) | 9.06177e17 | − | 1.56954e18i | 0.00280354 | − | 0.00485587i | ||||
\(852\) | 8.11363e18 | − | 4.68440e18i | 0.0248965 | − | 0.0143740i | ||||
\(853\) | 2.00068e20i | 0.608883i | 0.952531 | + | 0.304442i | \(0.0984699\pi\) | ||||
−0.952531 | + | 0.304442i | \(0.901530\pi\) | |||||||
\(854\) | −4.44814e19 | − | 1.45702e20i | −0.134268 | − | 0.439806i | ||||
\(855\) | 1.99689e20 | 0.597848 | ||||||||
\(856\) | −2.28224e19 | − | 3.95296e19i | −0.0677712 | − | 0.117383i | ||||
\(857\) | 1.10496e20 | + | 6.37951e19i | 0.325449 | + | 0.187898i | 0.653819 | − | 0.756651i | \(-0.273166\pi\) |
−0.328370 | + | 0.944549i | \(0.606499\pi\) | |||||||
\(858\) | −7.14924e19 | + | 1.23828e20i | −0.208857 | + | 0.361751i | ||||
\(859\) | −9.96688e18 | + | 5.75438e18i | −0.0288807 | + | 0.0166743i | −0.514371 | − | 0.857568i | \(-0.671974\pi\) |
0.485490 | + | 0.874242i | \(0.338641\pi\) | |||||||
\(860\) | − | 5.76257e19i | − | 0.165626i | ||||||
\(861\) | 1.80356e20 | − | 5.50608e19i | 0.514172 | − | 0.156971i | ||||
\(862\) | −1.59640e20 | −0.451432 | ||||||||
\(863\) | 7.00947e19 | + | 1.21408e20i | 0.196612 | + | 0.340542i | 0.947428 | − | 0.319970i | \(-0.103673\pi\) |
−0.750816 | + | 0.660512i | \(0.770339\pi\) | |||||||
\(864\) | −4.00078e19 | − | 2.30985e19i | −0.111314 | − | 0.0642669i | ||||
\(865\) | −8.66264e19 | + | 1.50041e20i | −0.239077 | + | 0.414093i | ||||
\(866\) | −4.30701e19 | + | 2.48665e19i | −0.117910 | + | 0.0680753i | ||||
\(867\) | − | 2.79338e20i | − | 0.758571i | ||||||
\(868\) | 1.11080e20 | + | 2.56919e19i | 0.299224 | + | 0.0692084i | ||||
\(869\) | 1.33226e20 | 0.356001 | ||||||||
\(870\) | −5.37253e19 | − | 9.30549e19i | −0.142411 | − | 0.246663i | ||||
\(871\) | −3.71614e20 | − | 2.14552e20i | −0.977159 | − | 0.564163i | ||||
\(872\) | 3.38281e19 | − | 5.85920e19i | 0.0882393 | − | 0.152835i | ||||
\(873\) | 1.36933e20 | − | 7.90581e19i | 0.354329 | − | 0.204572i | ||||
\(874\) | 4.52412e20i | 1.16133i | ||||||||
\(875\) | 2.79529e20 | − | 2.99516e20i | 0.711821 | − | 0.762718i | ||||
\(876\) | −9.30129e19 | −0.234971 | ||||||||
\(877\) | −4.21114e19 | − | 7.29390e19i | −0.105536 | − | 0.182794i | 0.808421 | − | 0.588605i | \(-0.200323\pi\) |
−0.913957 | + | 0.405811i | \(0.866989\pi\) | |||||||
\(878\) | 6.57794e19 | + | 3.79778e19i | 0.163542 | + | 0.0944209i | ||||
\(879\) | 5.17426e19 | − | 8.96207e19i | 0.127622 | − | 0.221048i | ||||
\(880\) | 9.21031e19 | − | 5.31757e19i | 0.225370 | − | 0.130117i | ||||
\(881\) | − | 5.08110e20i | − | 1.23346i | −0.787173 | − | 0.616732i | \(-0.788456\pi\) | ||
0.787173 | − | 0.616732i | \(-0.211544\pi\) | |||||||
\(882\) | −2.22803e20 | − | 1.08891e20i | −0.536588 | − | 0.262247i | ||||
\(883\) | −5.79499e20 | −1.38461 | −0.692306 | − | 0.721604i | \(-0.743405\pi\) | ||||
−0.692306 | + | 0.721604i | \(0.743405\pi\) | |||||||
\(884\) | 1.75614e20 | + | 3.04173e20i | 0.416288 | + | 0.721031i | ||||
\(885\) | −8.46480e19 | − | 4.88716e19i | −0.199074 | − | 0.114935i | ||||
\(886\) | 9.35538e19 | − | 1.62040e20i | 0.218286 | − | 0.378082i | ||||
\(887\) | 1.73630e19 | − | 1.00245e19i | 0.0401938 | − | 0.0232059i | −0.479768 | − | 0.877395i | \(-0.659279\pi\) |
0.519962 | + | 0.854189i | \(0.325946\pi\) | |||||||
\(888\) | 2.16809e17i | 0.000497950i | ||||||||
\(889\) | 2.65297e20 | + | 2.47594e20i | 0.604533 | + | 0.564192i | ||||
\(890\) | 5.35100e18 | 0.0120978 | ||||||||
\(891\) | −1.91449e20 | − | 3.31599e20i | −0.429446 | − | 0.743823i | ||||
\(892\) | −2.27838e20 | − | 1.31542e20i | −0.507075 | − | 0.292760i | ||||
\(893\) | 1.75579e20 | − | 3.04112e20i | 0.387715 | − | 0.671543i | ||||
\(894\) | 1.49067e20 | − | 8.60638e19i | 0.326602 | − | 0.188564i | ||||
\(895\) | 2.31853e20i | 0.504024i | ||||||||
\(896\) | −9.23415e18 | + | 3.99240e19i | −0.0199178 | + | 0.0861149i | ||||
\(897\) | −2.81416e20 | −0.602284 | ||||||||
\(898\) | −1.51769e20 | − | 2.62871e20i | −0.322291 | − | 0.558224i | ||||
\(899\) | −3.81464e20 | − | 2.20238e20i | −0.803777 | − | 0.464061i | ||||
\(900\) | −5.48014e19 | + | 9.49187e19i | −0.114576 | + | 0.198452i | ||||
\(901\) | −8.60055e20 | + | 4.96553e20i | −1.78424 | + | 1.03013i | ||||
\(902\) | − | 7.21086e20i | − | 1.48437i | ||||||
\(903\) | −2.75977e19 | − | 9.03985e19i | −0.0563714 | − | 0.184649i | ||||
\(904\) | −2.51188e19 | −0.0509120 | ||||||||
\(905\) | −6.15407e18 | − | 1.06592e19i | −0.0123772 | − | 0.0214379i | ||||
\(906\) | −1.02166e20 | − | 5.89857e19i | −0.203896 | − | 0.117720i | ||||
\(907\) | 2.01250e20 | − | 3.48575e20i | 0.398552 | − | 0.690312i | −0.594996 | − | 0.803729i | \(-0.702846\pi\) |
0.993547 | + | 0.113417i | \(0.0361797\pi\) | |||||||
\(908\) | 1.54710e20 | − | 8.93220e19i | 0.304031 | − | 0.175532i | ||||
\(909\) | 3.19068e20i | 0.622209i | ||||||||
\(910\) | 2.30143e20 | − | 7.02603e19i | 0.445357 | − | 0.135963i | ||||
\(911\) | 9.50184e19 | 0.182465 | 0.0912324 | − | 0.995830i | \(-0.470919\pi\) | ||||
0.0912324 | + | 0.995830i | \(0.470919\pi\) | |||||||
\(912\) | −2.70606e19 | − | 4.68703e19i | −0.0515672 | − | 0.0893170i | ||||
\(913\) | 7.53649e20 | + | 4.35119e20i | 1.42519 | + | 0.822835i | ||||
\(914\) | 1.06822e20 | − | 1.85022e20i | 0.200465 | − | 0.347215i | ||||
\(915\) | 8.06180e19 | − | 4.65448e19i | 0.150136 | − | 0.0866809i | ||||
\(916\) | 5.37938e19i | 0.0994177i | ||||||||
\(917\) | −7.78704e18 | − | 1.80109e18i | −0.0142819 | − | 0.00330331i | ||||
\(918\) | 4.83059e20 | 0.879229 | ||||||||
\(919\) | −5.13486e20 | − | 8.89383e20i | −0.927512 | − | 1.60650i | −0.787470 | − | 0.616353i | \(-0.788609\pi\) |
−0.140043 | − | 0.990145i | \(-0.544724\pi\) | |||||||
\(920\) | 1.81273e20 | + | 1.04658e20i | 0.324951 | + | 0.187611i | ||||
\(921\) | 6.28294e18 | − | 1.08824e19i | 0.0111775 | − | 0.0193600i | ||||
\(922\) | −1.93868e19 | + | 1.11930e19i | −0.0342287 | + | 0.0197619i | ||||
\(923\) | − | 8.10579e19i | − | 0.142031i | ||||||
\(924\) | 1.19017e20 | − | 1.27527e20i | 0.206969 | − | 0.221768i | ||||
\(925\) | 1.12338e18 | 0.00193881 | ||||||||
\(926\) | 2.05224e20 | + | 3.55459e20i | 0.351522 | + | 0.608853i | ||||
\(927\) | 5.64106e20 | + | 3.25687e20i | 0.958965 | + | 0.553659i | ||||
\(928\) | 7.91576e19 | − | 1.37105e20i | 0.133554 | − | 0.231322i | ||||
\(929\) | −7.49067e20 | + | 4.32474e20i | −1.25433 | + | 0.724186i | −0.971966 | − | 0.235122i | \(-0.924451\pi\) |
−0.282362 | + | 0.959308i | \(0.591118\pi\) | |||||||
\(930\) | 6.96683e19i | 0.115786i | ||||||||
\(931\) | −3.54381e20 | − | 5.26306e20i | −0.584551 | − | 0.868142i | ||||
\(932\) | 1.64464e20 | 0.269252 | ||||||||
\(933\) | 6.31267e19 | + | 1.09339e20i | 0.102575 | + | 0.177665i | ||||
\(934\) | 2.20048e20 | + | 1.27044e20i | 0.354886 | + | 0.204893i | ||||
\(935\) | −5.56033e20 | + | 9.63077e20i | −0.890059 | + | 1.54163i | ||||
\(936\) | −1.58494e20 | + | 9.15065e19i | −0.251815 | + | 0.145385i | ||||
\(937\) | 1.04686e21i | 1.65087i | 0.564496 | + | 0.825436i | \(0.309071\pi\) | ||||
−0.564496 | + | 0.825436i | \(0.690929\pi\) | |||||||
\(938\) | 3.82714e20 | + | 3.57175e20i | 0.599038 | + | 0.559064i | ||||
\(939\) | 2.06861e20 | 0.321381 | ||||||||
\(940\) | −8.12346e19 | − | 1.40702e20i | −0.125270 | − | 0.216974i | ||||
\(941\) | 3.15413e20 | + | 1.82104e20i | 0.482783 | + | 0.278735i | 0.721575 | − | 0.692336i | \(-0.243418\pi\) |
−0.238793 | + | 0.971071i | \(0.576752\pi\) | |||||||
\(942\) | −1.59802e19 | + | 2.76786e19i | −0.0242788 | + | 0.0420521i | ||||
\(943\) | 1.22907e21 | − | 7.09603e20i | 1.85351 | − | 1.07012i | ||||
\(944\) | − | 1.44013e20i | − | 0.215574i | ||||||
\(945\) | 7.45770e19 | − | 3.22435e20i | 0.110811 | − | 0.479093i | ||||
\(946\) | −3.61425e20 | −0.533064 | ||||||||
\(947\) | 1.46735e20 | + | 2.54153e20i | 0.214825 | + | 0.372087i | 0.953218 | − | 0.302283i | \(-0.0977486\pi\) |
−0.738394 | + | 0.674370i | \(0.764415\pi\) | |||||||
\(948\) | −2.71651e19 | − | 1.56838e19i | −0.0394779 | − | 0.0227926i | ||||
\(949\) | −4.02368e20 | + | 6.96923e20i | −0.580444 | + | 1.00536i | ||||
\(950\) | −2.42856e20 | + | 1.40213e20i | −0.347763 | + | 0.200781i | ||||
\(951\) | − | 3.40586e20i | − | 0.484131i | ||||||
\(952\) | −1.25112e20 | − | 4.09815e20i | −0.176539 | − | 0.578268i | ||||
\(953\) | 4.52445e20 | 0.633747 | 0.316873 | − | 0.948468i | \(-0.397367\pi\) | ||||
0.316873 | + | 0.948468i | \(0.397367\pi\) | |||||||
\(954\) | −2.58737e20 | − | 4.48145e20i | −0.359765 | − | 0.623132i | ||||
\(955\) | 1.27074e20 | + | 7.33662e19i | 0.175401 | + | 0.101268i | ||||
\(956\) | −1.72819e20 | + | 2.99332e20i | −0.236803 | + | 0.410155i | ||||
\(957\) | −5.83634e20 | + | 3.36961e20i | −0.793884 | + | 0.458349i | ||||
\(958\) | 2.68035e20i | 0.361937i | ||||||||
\(959\) | −8.85716e20 | + | 2.70400e20i | −1.18731 | + | 0.362474i | ||||
\(960\) | −2.50401e19 | −0.0333225 | ||||||||
\(961\) | −2.35675e20 | − | 4.08201e20i | −0.311350 | − | 0.539275i | ||||
\(962\) | 1.62449e18 | + | 9.37901e17i | 0.00213055 | + | 0.00123008i | ||||
\(963\) | −1.24349e20 | + | 2.15378e20i | −0.161904 | + | 0.280425i | ||||
\(964\) | −2.09780e20 | + | 1.21117e20i | −0.271160 | + | 0.156554i | ||||
\(965\) | 7.66096e20i | 0.983087i | ||||||||
\(966\) | 3.34488e20 | + | 7.73647e19i | 0.426129 | + | 0.0985605i | ||||
\(967\) | −1.30568e20 | −0.165140 | −0.0825699 | − | 0.996585i | \(-0.526313\pi\) | ||||
−0.0825699 | + | 0.996585i | \(0.526313\pi\) | |||||||
\(968\) | −1.92731e20 | − | 3.33819e20i | −0.242004 | − | 0.419164i | ||||
\(969\) | 4.90100e20 | + | 2.82960e20i | 0.610968 | + | 0.352743i | ||||
\(970\) | 9.35860e19 | − | 1.62096e20i | 0.115827 | − | 0.200618i | ||||
\(971\) | −6.44849e20 | + | 3.72304e20i | −0.792361 | + | 0.457470i | −0.840793 | − | 0.541357i | \(-0.817911\pi\) |
0.0484319 | + | 0.998826i | \(0.484578\pi\) | |||||||
\(972\) | 3.88159e20i | 0.473528i | ||||||||
\(973\) | 9.07048e20 | − | 9.71904e20i | 1.09860 | − | 1.17715i | ||||
\(974\) | 3.42477e20 | 0.411831 | ||||||||
\(975\) | −8.72172e19 | − | 1.51065e20i | −0.104129 | − | 0.180356i | ||||
\(976\) | 1.18781e20 | + | 6.85781e19i | 0.140798 | + | 0.0812899i | ||||
\(977\) | 1.07569e20 | − | 1.86315e20i | 0.126597 | − | 0.219273i | −0.795759 | − | 0.605614i | \(-0.792928\pi\) |
0.922356 | + | 0.386340i | \(0.126261\pi\) | |||||||
\(978\) | 3.56620e20 | − | 2.05894e20i | 0.416709 | − | 0.240587i | ||||
\(979\) | − | 3.35611e19i | − | 0.0389365i | ||||||
\(980\) | −2.92861e20 | + | 2.02415e19i | −0.337349 | + | 0.0233164i | ||||
\(981\) | −3.68627e20 | −0.421603 | ||||||||
\(982\) | 1.19934e19 | + | 2.07731e19i | 0.0136195 | + | 0.0235897i | ||||
\(983\) | 6.78524e20 | + | 3.91746e20i | 0.765052 | + | 0.441703i | 0.831107 | − | 0.556113i | \(-0.187708\pi\) |
−0.0660548 | + | 0.997816i | \(0.521041\pi\) | |||||||
\(984\) | −8.48885e19 | + | 1.47031e20i | −0.0950349 | + | 0.164605i | ||||
\(985\) | 1.99569e20 | − | 1.15221e20i | 0.221840 | − | 0.128079i | ||||
\(986\) | 1.65543e21i | 1.82714i | ||||||||
\(987\) | −1.94818e20 | − | 1.81818e20i | −0.213506 | − | 0.199258i | ||||
\(988\) | −4.68251e20 | −0.509542 | ||||||||
\(989\) | −3.55669e20 | − | 6.16038e20i | −0.384302 | − | 0.665630i | ||||
\(990\) | −5.01826e20 | − | 2.89729e20i | −0.538402 | − | 0.310847i | ||||
\(991\) | 6.64565e20 | − | 1.15106e21i | 0.707981 | − | 1.22626i | −0.257624 | − | 0.966245i | \(-0.582939\pi\) |
0.965605 | − | 0.260014i | \(-0.0837272\pi\) | |||||||
\(992\) | −8.88956e19 | + | 5.13239e19i | −0.0940370 | + | 0.0542923i | ||||
\(993\) | 3.06497e20i | 0.321945i | ||||||||
\(994\) | −2.22838e19 | + | 9.63445e19i | −0.0232426 | + | 0.100490i | ||||
\(995\) | 7.28495e19 | 0.0754510 | ||||||||
\(996\) | −1.02447e20 | − | 1.77444e20i | −0.105362 | − | 0.182493i | ||||
\(997\) | −2.64322e20 | − | 1.52607e20i | −0.269940 | − | 0.155850i | 0.358920 | − | 0.933368i | \(-0.383145\pi\) |
−0.628861 | + | 0.777518i | \(0.716478\pi\) | |||||||
\(998\) | 1.73837e20 | − | 3.01095e20i | 0.176290 | − | 0.305344i | ||||
\(999\) | 2.23424e18 | − | 1.28994e18i | 0.00224994 | − | 0.00129900i |
(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 | 14.15.d.a.3.3 | ✓ | 20 | |
3.2 | odd | 2 | 126.15.n.b.73.7 | 20 | |||
7.2 | even | 3 | 98.15.d.b.19.3 | 20 | |||
7.3 | odd | 6 | 98.15.b.c.97.15 | 20 | |||
7.4 | even | 3 | 98.15.b.c.97.16 | 20 | |||
7.5 | odd | 6 | inner | 14.15.d.a.5.3 | yes | 20 | |
7.6 | odd | 2 | 98.15.d.b.31.3 | 20 | |||
21.5 | even | 6 | 126.15.n.b.19.7 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.15.d.a.3.3 | ✓ | 20 | 1.1 | even | 1 | trivial | |
14.15.d.a.5.3 | yes | 20 | 7.5 | odd | 6 | inner | |
98.15.b.c.97.15 | 20 | 7.3 | odd | 6 | |||
98.15.b.c.97.16 | 20 | 7.4 | even | 3 | |||
98.15.d.b.19.3 | 20 | 7.2 | even | 3 | |||
98.15.d.b.31.3 | 20 | 7.6 | odd | 2 | |||
126.15.n.b.19.7 | 20 | 21.5 | even | 6 | |||
126.15.n.b.73.7 | 20 | 3.2 | odd | 2 |