Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,11,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, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
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: | \(8.89500153743\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 7168 x^{10} - 191104 x^{9} + 39872585 x^{8} - 837614684 x^{7} + 83400850488 x^{6} + \cdots + 16\!\cdots\!56 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{24}\cdot 3^{4}\cdot 7^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Root | \(21.7454 + 37.6641i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.3 |
Dual form | 14.11.d.a.5.2 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −11.3137 | − | 19.5959i | −0.353553 | − | 0.612372i | ||||
\(3\) | 43.3342 | + | 25.0190i | 0.178330 | + | 0.102959i | 0.586508 | − | 0.809944i | \(-0.300502\pi\) |
−0.408178 | + | 0.912902i | \(0.633836\pi\) | |||||||
\(4\) | −256.000 | + | 443.405i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1336.07 | − | 771.378i | 0.427541 | − | 0.246841i | −0.270757 | − | 0.962648i | \(-0.587274\pi\) |
0.698299 | + | 0.715807i | \(0.253941\pi\) | |||||||
\(6\) | − | 1132.23i | − | 0.145606i | ||||||
\(7\) | 14974.8 | + | 7630.84i | 0.890988 | + | 0.454027i | ||||
\(8\) | 11585.2 | 0.353553 | ||||||||
\(9\) | −28272.6 | − | 48969.6i | −0.478799 | − | 0.829304i | ||||
\(10\) | −30231.7 | − | 17454.3i | −0.302317 | − | 0.174543i | ||||
\(11\) | 61649.5 | − | 106780.i | 0.382795 | − | 0.663020i | −0.608666 | − | 0.793427i | \(-0.708295\pi\) |
0.991461 | + | 0.130406i | \(0.0416282\pi\) | |||||||
\(12\) | −22187.1 | + | 12809.7i | −0.0891649 | + | 0.0514794i | ||||
\(13\) | − | 630844.i | − | 1.69905i | −0.527552 | − | 0.849523i | \(-0.676890\pi\) | ||
0.527552 | − | 0.849523i | \(-0.323110\pi\) | |||||||
\(14\) | −19887.6 | − | 379779.i | −0.0369778 | − | 0.706139i | ||||
\(15\) | 77196.4 | 0.101658 | ||||||||
\(16\) | −131072. | − | 227023.i | −0.125000 | − | 0.216506i | ||||
\(17\) | 479470. | + | 276822.i | 0.337689 | + | 0.194965i | 0.659249 | − | 0.751924i | \(-0.270874\pi\) |
−0.321561 | + | 0.946889i | \(0.604207\pi\) | |||||||
\(18\) | −639736. | + | 1.10806e6i | −0.338562 | + | 0.586407i | ||||
\(19\) | 1.91745e6 | − | 1.10704e6i | 0.774383 | − | 0.447090i | −0.0600532 | − | 0.998195i | \(-0.519127\pi\) |
0.834436 | + | 0.551105i | \(0.185794\pi\) | |||||||
\(20\) | 789891.i | 0.246841i | ||||||||
\(21\) | 458006. | + | 705331.i | 0.112144 | + | 0.172702i | ||||
\(22\) | −2.78994e6 | −0.541354 | ||||||||
\(23\) | 1.93777e6 | + | 3.35631e6i | 0.301066 | + | 0.521462i | 0.976378 | − | 0.216071i | \(-0.0693241\pi\) |
−0.675312 | + | 0.737533i | \(0.735991\pi\) | |||||||
\(24\) | 502037. | + | 289851.i | 0.0630491 | + | 0.0364014i | ||||
\(25\) | −3.69276e6 | + | 6.39605e6i | −0.378139 | + | 0.654956i | ||||
\(26\) | −1.23620e7 | + | 7.13718e6i | −1.04045 | + | 0.600703i | ||||
\(27\) | − | 5.78410e6i | − | 0.403104i | ||||||
\(28\) | −7.21711e6 | + | 4.68642e6i | −0.419347 | + | 0.272302i | ||||
\(29\) | 2.46767e7 | 1.20309 | 0.601543 | − | 0.798841i | \(-0.294553\pi\) | ||||
0.601543 | + | 0.798841i | \(0.294553\pi\) | |||||||
\(30\) | −873378. | − | 1.51273e6i | −0.0359415 | − | 0.0622525i | ||||
\(31\) | 507444. | + | 292973.i | 0.0177247 | + | 0.0102334i | 0.508836 | − | 0.860863i | \(-0.330076\pi\) |
−0.491111 | + | 0.871097i | \(0.663409\pi\) | |||||||
\(32\) | −2.96582e6 | + | 5.13695e6i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 5.34306e6 | − | 3.08482e6i | 0.136528 | − | 0.0788242i | ||||
\(34\) | − | 1.25275e7i | − | 0.275722i | ||||||
\(35\) | 2.58936e7 | − | 1.35595e6i | 0.493007 | − | 0.0258169i | ||||
\(36\) | 2.89511e7 | 0.478799 | ||||||||
\(37\) | −3.87143e7 | − | 6.70551e7i | −0.558293 | − | 0.966993i | −0.997639 | − | 0.0686745i | \(-0.978123\pi\) |
0.439346 | − | 0.898318i | \(-0.355210\pi\) | |||||||
\(38\) | −4.33869e7 | − | 2.50494e7i | −0.547571 | − | 0.316140i | ||||
\(39\) | 1.57831e7 | − | 2.73371e7i | 0.174932 | − | 0.302991i | ||||
\(40\) | 1.54786e7 | − | 8.93660e6i | 0.151159 | − | 0.0872715i | ||||
\(41\) | − | 3.18486e7i | − | 0.274898i | −0.990509 | − | 0.137449i | \(-0.956110\pi\) | ||
0.990509 | − | 0.137449i | \(-0.0438903\pi\) | |||||||
\(42\) | 8.63987e6 | − | 1.69550e7i | 0.0661090 | − | 0.129733i | ||||
\(43\) | 3.16497e7 | 0.215292 | 0.107646 | − | 0.994189i | \(-0.465669\pi\) | ||||
0.107646 | + | 0.994189i | \(0.465669\pi\) | |||||||
\(44\) | 3.15646e7 | + | 5.46714e7i | 0.191398 | + | 0.331510i | ||||
\(45\) | −7.55481e7 | − | 4.36177e7i | −0.409413 | − | 0.236374i | ||||
\(46\) | 4.38466e7 | − | 7.59446e7i | 0.212886 | − | 0.368729i | ||||
\(47\) | −3.33431e8 | + | 1.92507e8i | −1.45384 | + | 0.839376i | −0.998697 | − | 0.0510417i | \(-0.983746\pi\) |
−0.455145 | + | 0.890417i | \(0.650413\pi\) | |||||||
\(48\) | − | 1.31172e7i | − | 0.0514794i | ||||||
\(49\) | 1.66016e8 | + | 2.28541e8i | 0.587718 | + | 0.809066i | ||||
\(50\) | 1.67115e8 | 0.534769 | ||||||||
\(51\) | 1.38516e7 | + | 2.39917e7i | 0.0401467 | + | 0.0695360i | ||||
\(52\) | 2.79719e8 | + | 1.61496e8i | 0.735708 | + | 0.424761i | ||||
\(53\) | −3.07213e8 | + | 5.32108e8i | −0.734615 | + | 1.27239i | 0.220277 | + | 0.975437i | \(0.429304\pi\) |
−0.954892 | + | 0.296953i | \(0.904030\pi\) | |||||||
\(54\) | −1.13345e8 | + | 6.54396e7i | −0.246850 | + | 0.142519i | ||||
\(55\) | − | 1.90220e8i | − | 0.377958i | ||||||
\(56\) | 1.73487e8 | + | 8.84051e7i | 0.315012 | + | 0.160523i | ||||
\(57\) | 1.10788e8 | 0.184127 | ||||||||
\(58\) | −2.79185e8 | − | 4.83562e8i | −0.425355 | − | 0.736736i | ||||
\(59\) | 2.08199e8 | + | 1.20204e8i | 0.291218 | + | 0.168135i | 0.638491 | − | 0.769629i | \(-0.279559\pi\) |
−0.347273 | + | 0.937764i | \(0.612892\pi\) | |||||||
\(60\) | −1.97623e7 | + | 3.42293e7i | −0.0254145 | + | 0.0440191i | ||||
\(61\) | −4.19803e8 | + | 2.42374e8i | −0.497046 | + | 0.286970i | −0.727493 | − | 0.686115i | \(-0.759315\pi\) |
0.230447 | + | 0.973085i | \(0.425981\pi\) | |||||||
\(62\) | − | 1.32584e7i | − | 0.0144722i | ||||||
\(63\) | −4.96984e7 | − | 9.49055e8i | −0.0500772 | − | 0.956288i | ||||
\(64\) | 1.34218e8 | 0.125000 | ||||||||
\(65\) | −4.86619e8 | − | 8.42849e8i | −0.419394 | − | 0.726412i | ||||
\(66\) | −1.20900e8 | − | 6.98014e7i | −0.0965396 | − | 0.0557371i | ||||
\(67\) | 9.24884e8 | − | 1.60195e9i | 0.685036 | − | 1.18652i | −0.288390 | − | 0.957513i | \(-0.593120\pi\) |
0.973426 | − | 0.229004i | \(-0.0735468\pi\) | |||||||
\(68\) | −2.45488e8 | + | 1.41733e8i | −0.168844 | + | 0.0974823i | ||||
\(69\) | 1.93924e8i | 0.123990i | ||||||||
\(70\) | −3.19524e8 | − | 4.92069e8i | −0.190114 | − | 0.292776i | ||||
\(71\) | 6.61547e8 | 0.366664 | 0.183332 | − | 0.983051i | \(-0.441312\pi\) | ||||
0.183332 | + | 0.983051i | \(0.441312\pi\) | |||||||
\(72\) | −3.27545e8 | − | 5.67324e8i | −0.169281 | − | 0.293203i | ||||
\(73\) | 2.79725e9 | + | 1.61499e9i | 1.34933 | + | 0.779035i | 0.988154 | − | 0.153464i | \(-0.0490430\pi\) |
0.361173 | + | 0.932499i | \(0.382376\pi\) | |||||||
\(74\) | −8.76004e8 | + | 1.51728e9i | −0.394773 | + | 0.683767i | ||||
\(75\) | −3.20046e8 | + | 1.84778e8i | −0.134867 | + | 0.0778655i | ||||
\(76\) | 1.13361e9i | 0.447090i | ||||||||
\(77\) | 1.73801e9 | − | 1.12858e9i | 0.642095 | − | 0.416944i | ||||
\(78\) | −7.14260e8 | −0.247391 | ||||||||
\(79\) | −1.61178e9 | − | 2.79169e9i | −0.523806 | − | 0.907259i | −0.999616 | − | 0.0277106i | \(-0.991178\pi\) |
0.475810 | − | 0.879548i | \(-0.342155\pi\) | |||||||
\(80\) | −3.50242e8 | − | 2.02212e8i | −0.106885 | − | 0.0617103i | ||||
\(81\) | −1.52476e9 | + | 2.64096e9i | −0.437296 | + | 0.757419i | ||||
\(82\) | −6.24103e8 | + | 3.60326e8i | −0.168340 | + | 0.0971911i | ||||
\(83\) | 5.35925e9i | 1.36055i | 0.732958 | + | 0.680274i | \(0.238139\pi\) | ||||
−0.732958 | + | 0.680274i | \(0.761861\pi\) | |||||||
\(84\) | −4.29997e8 | + | 2.25173e7i | −0.102818 | + | 0.00538418i | ||||
\(85\) | 8.54138e8 | 0.192501 | ||||||||
\(86\) | −3.58076e8 | − | 6.20206e8i | −0.0761172 | − | 0.131839i | ||||
\(87\) | 1.06934e9 | + | 6.17385e8i | 0.214546 | + | 0.123868i | ||||
\(88\) | 7.14224e8 | − | 1.23707e9i | 0.135338 | − | 0.234413i | ||||
\(89\) | −8.54159e9 | + | 4.93149e9i | −1.52964 | + | 0.883137i | −0.530262 | + | 0.847834i | \(0.677906\pi\) |
−0.999377 | + | 0.0353033i | \(0.988760\pi\) | |||||||
\(90\) | 1.97391e9i | 0.334284i | ||||||||
\(91\) | 4.81387e9 | − | 9.44678e9i | 0.771413 | − | 1.51383i | ||||
\(92\) | −1.98427e9 | −0.301066 | ||||||||
\(93\) | 1.46598e7 | + | 2.53915e7i | 0.00210723 | + | 0.00364983i | ||||
\(94\) | 7.54469e9 | + | 4.35593e9i | 1.02802 | + | 0.593528i | ||||
\(95\) | 1.70789e9 | − | 2.95816e9i | 0.220720 | − | 0.382299i | ||||
\(96\) | −2.57043e8 | + | 1.48404e8i | −0.0315246 | + | 0.0182007i | ||||
\(97\) | 8.29078e9i | 0.965466i | 0.875768 | + | 0.482733i | \(0.160356\pi\) | ||||
−0.875768 | + | 0.482733i | \(0.839644\pi\) | |||||||
\(98\) | 2.60022e9 | − | 5.83888e9i | 0.287660 | − | 0.645950i | ||||
\(99\) | −6.97197e9 | −0.733127 | ||||||||
\(100\) | −1.89069e9 | − | 3.27478e9i | −0.189069 | − | 0.327478i | ||||
\(101\) | 2.00346e9 | + | 1.15670e9i | 0.190623 | + | 0.110056i | 0.592274 | − | 0.805737i | \(-0.298230\pi\) |
−0.401651 | + | 0.915793i | \(0.631564\pi\) | |||||||
\(102\) | 3.13426e8 | − | 5.42870e8i | 0.0283880 | − | 0.0491694i | ||||
\(103\) | 4.47261e9 | − | 2.58226e9i | 0.385812 | − | 0.222748i | −0.294532 | − | 0.955642i | \(-0.595164\pi\) |
0.680344 | + | 0.732893i | \(0.261830\pi\) | |||||||
\(104\) | − | 7.30848e9i | − | 0.600703i | ||||||
\(105\) | 1.15600e9 | + | 5.89073e8i | 0.0905759 | + | 0.0461554i | ||||
\(106\) | 1.39029e10 | 1.03890 | ||||||||
\(107\) | −1.37547e10 | − | 2.38238e10i | −0.980690 | − | 1.69861i | −0.659711 | − | 0.751519i | \(-0.729321\pi\) |
−0.320979 | − | 0.947086i | \(-0.604012\pi\) | |||||||
\(108\) | 2.56470e9 | + | 1.48073e9i | 0.174549 | + | 0.100776i | ||||
\(109\) | −1.01256e9 | + | 1.75380e9i | −0.0658094 | + | 0.113985i | −0.897053 | − | 0.441924i | \(-0.854296\pi\) |
0.831243 | + | 0.555909i | \(0.187630\pi\) | |||||||
\(110\) | −3.72754e9 | + | 2.15210e9i | −0.231451 | + | 0.133628i | ||||
\(111\) | − | 3.87437e9i | − | 0.229925i | ||||||
\(112\) | −2.30402e8 | − | 4.39983e9i | −0.0130736 | − | 0.249658i | ||||
\(113\) | 3.31154e9 | 0.179737 | 0.0898685 | − | 0.995954i | \(-0.471355\pi\) | ||||
0.0898685 | + | 0.995954i | \(0.471355\pi\) | |||||||
\(114\) | −1.25342e9 | − | 2.17099e9i | −0.0650989 | − | 0.112755i | ||||
\(115\) | 5.17797e9 | + | 2.98950e9i | 0.257436 | + | 0.148631i | ||||
\(116\) | −6.31723e9 | + | 1.09418e10i | −0.300771 | + | 0.520951i | ||||
\(117\) | −3.08922e10 | + | 1.78356e10i | −1.40903 | + | 0.813501i | ||||
\(118\) | − | 5.43979e9i | − | 0.237778i | ||||||
\(119\) | 5.06759e9 | + | 7.80412e9i | 0.212357 | + | 0.327031i | ||||
\(120\) | 8.94339e8 | 0.0359415 | ||||||||
\(121\) | 5.36739e9 | + | 9.29659e9i | 0.206936 | + | 0.358424i | ||||
\(122\) | 9.49907e9 | + | 5.48429e9i | 0.351465 | + | 0.202918i | ||||
\(123\) | 7.96821e8 | − | 1.38013e9i | 0.0283032 | − | 0.0490225i | ||||
\(124\) | −2.59811e8 | + | 1.50002e8i | −0.00886236 | + | 0.00511669i | ||||
\(125\) | 2.64601e10i | 0.867043i | ||||||||
\(126\) | −1.80353e10 | + | 1.17112e10i | −0.567899 | + | 0.368765i | ||||
\(127\) | 4.64288e10 | 1.40530 | 0.702649 | − | 0.711536i | \(-0.252000\pi\) | ||||
0.702649 | + | 0.711536i | \(0.252000\pi\) | |||||||
\(128\) | −1.51850e9 | − | 2.63012e9i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 1.37151e9 | + | 7.91844e8i | 0.0383930 | + | 0.0221662i | ||||
\(130\) | −1.10109e10 | + | 1.90715e10i | −0.296557 | + | 0.513651i | ||||
\(131\) | −7.33419e9 | + | 4.23440e9i | −0.190106 | + | 0.109758i | −0.592032 | − | 0.805914i | \(-0.701674\pi\) |
0.401926 | + | 0.915672i | \(0.368341\pi\) | |||||||
\(132\) | 3.15885e9i | 0.0788242i | ||||||||
\(133\) | 3.71611e10 | − | 1.94599e9i | 0.892957 | − | 0.0467607i | ||||
\(134\) | −4.18555e10 | −0.968787 | ||||||||
\(135\) | −4.46173e9 | − | 7.72794e9i | −0.0995026 | − | 0.172344i | ||||
\(136\) | 5.55477e9 | + | 3.20705e9i | 0.119391 | + | 0.0689304i | ||||
\(137\) | 1.04624e10 | − | 1.81214e10i | 0.216785 | − | 0.375482i | −0.737038 | − | 0.675851i | \(-0.763776\pi\) |
0.953823 | + | 0.300369i | \(0.0971097\pi\) | |||||||
\(138\) | 3.80011e9 | − | 2.19400e9i | 0.0759279 | − | 0.0438370i | ||||
\(139\) | − | 4.06900e10i | − | 0.784176i | −0.919928 | − | 0.392088i | \(-0.871753\pi\) | ||
0.919928 | − | 0.392088i | \(-0.128247\pi\) | |||||||
\(140\) | −6.02753e9 | + | 1.18285e10i | −0.112073 | + | 0.219932i | ||||
\(141\) | −1.92653e10 | −0.345684 | ||||||||
\(142\) | −7.48455e9 | − | 1.29636e10i | −0.129635 | − | 0.224535i | ||||
\(143\) | −6.73616e10 | − | 3.88912e10i | −1.12650 | − | 0.650386i | ||||
\(144\) | −7.41149e9 | + | 1.28371e10i | −0.119700 | + | 0.207326i | ||||
\(145\) | 3.29697e10 | − | 1.90350e10i | 0.514369 | − | 0.296971i | ||||
\(146\) | − | 7.30863e10i | − | 1.10172i | ||||||
\(147\) | 1.47629e9 | + | 1.40572e10i | 0.0215073 | + | 0.204791i | ||||
\(148\) | 3.96434e10 | 0.558293 | ||||||||
\(149\) | 3.47475e10 | + | 6.01844e10i | 0.473143 | + | 0.819507i | 0.999527 | − | 0.0307395i | \(-0.00978623\pi\) |
−0.526385 | + | 0.850246i | \(0.676453\pi\) | |||||||
\(150\) | 7.24181e9 | + | 4.18106e9i | 0.0953653 | + | 0.0550592i | ||||
\(151\) | 5.65391e10 | − | 9.79286e10i | 0.720219 | − | 1.24746i | −0.240693 | − | 0.970601i | \(-0.577375\pi\) |
0.960912 | − | 0.276854i | \(-0.0892919\pi\) | |||||||
\(152\) | 2.22141e10 | − | 1.28253e10i | 0.273786 | − | 0.158070i | ||||
\(153\) | − | 3.13059e10i | − | 0.373396i | ||||||
\(154\) | −4.17789e10 | − | 2.12896e10i | −0.482340 | − | 0.245790i | ||||
\(155\) | 9.03972e8 | 0.0101041 | ||||||||
\(156\) | 8.08093e9 | + | 1.39966e10i | 0.0874659 | + | 0.151495i | ||||
\(157\) | −8.41270e10 | − | 4.85708e10i | −0.881936 | − | 0.509186i | −0.0106399 | − | 0.999943i | \(-0.503387\pi\) |
−0.871296 | + | 0.490757i | \(0.836720\pi\) | |||||||
\(158\) | −3.64704e10 | + | 6.31687e10i | −0.370387 | + | 0.641529i | ||||
\(159\) | −2.66256e10 | + | 1.53723e10i | −0.262008 | + | 0.151270i | ||||
\(160\) | 9.15108e9i | 0.0872715i | ||||||||
\(161\) | 3.40626e9 | + | 6.50469e10i | 0.0314882 | + | 0.601309i | ||||
\(162\) | 6.90026e10 | 0.618430 | ||||||||
\(163\) | 8.88084e10 | + | 1.53821e11i | 0.771820 | + | 1.33683i | 0.936565 | + | 0.350495i | \(0.113987\pi\) |
−0.164745 | + | 0.986336i | \(0.552680\pi\) | |||||||
\(164\) | 1.41218e10 | + | 8.15325e9i | 0.119034 | + | 0.0687245i | ||||
\(165\) | 4.75912e9 | − | 8.24304e9i | 0.0389141 | − | 0.0674012i | ||||
\(166\) | 1.05020e11 | − | 6.06330e10i | 0.833162 | − | 0.481026i | ||||
\(167\) | 1.98396e11i | 1.52739i | 0.645578 | + | 0.763694i | \(0.276617\pi\) | ||||
−0.645578 | + | 0.763694i | \(0.723383\pi\) | |||||||
\(168\) | 5.30611e9 | + | 8.17143e9i | 0.0396488 | + | 0.0610593i | ||||
\(169\) | −2.60105e11 | −1.88676 | ||||||||
\(170\) | −9.66346e9 | − | 1.67376e10i | −0.0680594 | − | 0.117882i | ||||
\(171\) | −1.08422e11 | − | 6.25978e10i | −0.741547 | − | 0.428132i | ||||
\(172\) | −8.10233e9 | + | 1.40337e10i | −0.0538230 | + | 0.0932241i | ||||
\(173\) | 1.81596e11 | − | 1.04844e11i | 1.17186 | − | 0.676573i | 0.217742 | − | 0.976006i | \(-0.430131\pi\) |
0.954117 | + | 0.299433i | \(0.0967974\pi\) | |||||||
\(174\) | − | 2.79397e10i | − | 0.175176i | ||||||
\(175\) | −1.04106e11 | + | 6.76009e10i | −0.634285 | + | 0.411872i | ||||
\(176\) | −3.23221e10 | −0.191398 | ||||||||
\(177\) | 6.01474e9 | + | 1.04178e10i | 0.0346219 | + | 0.0599669i | ||||
\(178\) | 1.93274e11 | + | 1.11587e11i | 1.08162 | + | 0.624472i | ||||
\(179\) | −4.05870e10 | + | 7.02987e10i | −0.220862 | + | 0.382545i | −0.955070 | − | 0.296380i | \(-0.904220\pi\) |
0.734208 | + | 0.678925i | \(0.237554\pi\) | |||||||
\(180\) | 3.86806e10 | − | 2.23323e10i | 0.204706 | − | 0.118187i | ||||
\(181\) | 3.25538e10i | 0.167575i | 0.996484 | + | 0.0837873i | \(0.0267016\pi\) | ||||
−0.996484 | + | 0.0837873i | \(0.973298\pi\) | |||||||
\(182\) | −2.39581e11 | + | 1.25459e10i | −1.19976 | + | 0.0628270i | ||||
\(183\) | −2.42558e10 | −0.118184 | ||||||||
\(184\) | 2.24495e10 | + | 3.88836e10i | 0.106443 | + | 0.184365i | ||||
\(185\) | −1.03450e11 | − | 5.97267e10i | −0.477387 | − | 0.275619i | ||||
\(186\) | 3.31713e8 | − | 5.74543e8i | 0.00149004 | − | 0.00258082i | ||||
\(187\) | 5.91181e10 | − | 3.41319e10i | 0.258531 | − | 0.149263i | ||||
\(188\) | − | 1.97127e11i | − | 0.839376i | ||||||
\(189\) | 4.41375e10 | − | 8.66159e10i | 0.183020 | − | 0.359161i | ||||
\(190\) | −7.72904e10 | −0.312146 | ||||||||
\(191\) | 1.08807e11 | + | 1.88459e11i | 0.428046 | + | 0.741397i | 0.996699 | − | 0.0811800i | \(-0.0258689\pi\) |
−0.568654 | + | 0.822577i | \(0.692536\pi\) | |||||||
\(192\) | 5.81621e9 | + | 3.35799e9i | 0.0222912 | + | 0.0128698i | ||||
\(193\) | 2.09154e11 | − | 3.62266e11i | 0.781053 | − | 1.35282i | −0.150276 | − | 0.988644i | \(-0.548016\pi\) |
0.931329 | − | 0.364179i | \(-0.118650\pi\) | |||||||
\(194\) | 1.62465e11 | − | 9.37995e10i | 0.591225 | − | 0.341344i | ||||
\(195\) | − | 4.86989e10i | − | 0.172721i | ||||||
\(196\) | −1.43836e11 | + | 1.51057e10i | −0.497265 | + | 0.0522230i | ||||
\(197\) | 1.59266e11 | 0.536774 | 0.268387 | − | 0.963311i | \(-0.413509\pi\) | ||||
0.268387 | + | 0.963311i | \(0.413509\pi\) | |||||||
\(198\) | 7.88788e10 | + | 1.36622e11i | 0.259200 | + | 0.448947i | ||||
\(199\) | −1.96460e11 | − | 1.13426e11i | −0.629519 | − | 0.363453i | 0.151047 | − | 0.988527i | \(-0.451736\pi\) |
−0.780566 | + | 0.625074i | \(0.785069\pi\) | |||||||
\(200\) | −4.27815e10 | + | 7.40998e10i | −0.133692 | + | 0.231562i | ||||
\(201\) | 8.01582e10 | − | 4.62793e10i | 0.244325 | − | 0.141061i | ||||
\(202\) | − | 5.23463e10i | − | 0.155643i | ||||||
\(203\) | 3.69529e11 | + | 1.88304e11i | 1.07193 | + | 0.546234i | ||||
\(204\) | −1.41840e10 | −0.0401467 | ||||||||
\(205\) | −2.45673e10 | − | 4.25519e10i | −0.0678561 | − | 0.117530i | ||||
\(206\) | −1.01204e11 | − | 5.84300e10i | −0.272810 | − | 0.157507i | ||||
\(207\) | 1.09571e11 | − | 1.89783e11i | 0.288300 | − | 0.499351i | ||||
\(208\) | −1.43216e11 | + | 8.26860e10i | −0.367854 | + | 0.212381i | ||||
\(209\) | − | 2.72994e11i | − | 0.684575i | ||||||
\(210\) | −1.53525e9 | − | 2.93175e10i | −0.00375909 | − | 0.0717846i | ||||
\(211\) | −4.53333e11 | −1.08394 | −0.541970 | − | 0.840398i | \(-0.682321\pi\) | ||||
−0.541970 | + | 0.840398i | \(0.682321\pi\) | |||||||
\(212\) | −1.57293e11 | − | 2.72439e11i | −0.367307 | − | 0.636195i | ||||
\(213\) | 2.86676e10 | + | 1.65512e10i | 0.0653872 | + | 0.0377513i | ||||
\(214\) | −3.11233e11 | + | 5.39072e11i | −0.693453 | + | 1.20110i | ||||
\(215\) | 4.22861e10 | − | 2.44139e10i | 0.0920462 | − | 0.0531429i | ||||
\(216\) | − | 6.70102e10i | − | 0.142519i | ||||||
\(217\) | 5.36326e9 | + | 8.25944e9i | 0.0111463 | + | 0.0171653i | ||||
\(218\) | 4.58232e10 | 0.0930685 | ||||||||
\(219\) | 8.08111e10 | + | 1.39969e11i | 0.160417 | + | 0.277850i | ||||
\(220\) | 8.43447e10 | + | 4.86964e10i | 0.163661 | + | 0.0944895i | ||||
\(221\) | 1.74631e11 | − | 3.02470e11i | 0.331254 | − | 0.573749i | ||||
\(222\) | −7.59218e10 | + | 4.38335e10i | −0.140800 | + | 0.0812907i | ||||
\(223\) | 9.98664e11i | 1.81090i | 0.424451 | + | 0.905451i | \(0.360467\pi\) | ||||
−0.424451 | + | 0.905451i | \(0.639533\pi\) | |||||||
\(224\) | −8.36119e10 | + | 5.42933e10i | −0.148261 | + | 0.0962733i | ||||
\(225\) | 4.17616e11 | 0.724210 | ||||||||
\(226\) | −3.74658e10 | − | 6.48926e10i | −0.0635466 | − | 0.110066i | ||||
\(227\) | 3.98593e10 | + | 2.30128e10i | 0.0661303 | + | 0.0381804i | 0.532701 | − | 0.846304i | \(-0.321177\pi\) |
−0.466570 | + | 0.884484i | \(0.654511\pi\) | |||||||
\(228\) | −2.83617e10 | + | 4.91240e10i | −0.0460319 | + | 0.0797295i | ||||
\(229\) | −8.60098e11 | + | 4.96578e11i | −1.36575 | + | 0.788515i | −0.990382 | − | 0.138361i | \(-0.955816\pi\) |
−0.375366 | + | 0.926877i | \(0.622483\pi\) | |||||||
\(230\) | − | 1.35289e11i | − | 0.210196i | ||||||
\(231\) | 1.03551e11 | − | 5.42258e9i | 0.157433 | − | 0.00824416i | ||||
\(232\) | 2.85885e11 | 0.425355 | ||||||||
\(233\) | 8.17470e10 | + | 1.41590e11i | 0.119040 | + | 0.206183i | 0.919387 | − | 0.393353i | \(-0.128685\pi\) |
−0.800348 | + | 0.599536i | \(0.795352\pi\) | |||||||
\(234\) | 6.99010e11 | + | 4.03573e11i | 0.996332 | + | 0.575232i | ||||
\(235\) | −2.96991e11 | + | 5.14403e11i | −0.414385 | + | 0.717735i | ||||
\(236\) | −1.06598e11 | + | 6.15442e10i | −0.145609 | + | 0.0840673i | ||||
\(237\) | − | 1.61301e11i | − | 0.215722i | ||||||
\(238\) | 9.55956e10 | − | 1.87598e11i | 0.125185 | − | 0.245665i | ||||
\(239\) | 7.69935e11 | 0.987336 | 0.493668 | − | 0.869651i | \(-0.335656\pi\) | ||||
0.493668 | + | 0.869651i | \(0.335656\pi\) | |||||||
\(240\) | −1.01183e10 | − | 1.75254e10i | −0.0127072 | − | 0.0220096i | ||||
\(241\) | −6.94003e11 | − | 4.00683e11i | −0.853643 | − | 0.492851i | 0.00823523 | − | 0.999966i | \(-0.497379\pi\) |
−0.861878 | + | 0.507115i | \(0.830712\pi\) | |||||||
\(242\) | 1.21450e11 | − | 2.10358e11i | 0.146326 | − | 0.253444i | ||||
\(243\) | −4.27935e11 | + | 2.47068e11i | −0.505064 | + | 0.291599i | ||||
\(244\) | − | 2.48191e11i | − | 0.286970i | ||||||
\(245\) | 3.98100e11 | + | 1.77285e11i | 0.450984 | + | 0.200836i | ||||
\(246\) | −3.60600e10 | −0.0400267 | ||||||||
\(247\) | −6.98369e11 | − | 1.20961e12i | −0.759626 | − | 1.31571i | ||||
\(248\) | 5.87886e9 | + | 3.39416e9i | 0.00626664 | + | 0.00361804i | ||||
\(249\) | −1.34083e11 | + | 2.32239e11i | −0.140080 | + | 0.242626i | ||||
\(250\) | 5.18509e11 | − | 2.99361e11i | 0.530953 | − | 0.306546i | ||||
\(251\) | − | 7.61027e11i | − | 0.763891i | −0.924185 | − | 0.381945i | \(-0.875254\pi\) | ||
0.924185 | − | 0.381945i | \(-0.124746\pi\) | |||||||
\(252\) | 4.33538e11 | + | 2.20922e11i | 0.426604 | + | 0.217388i | ||||
\(253\) | 4.77849e11 | 0.460987 | ||||||||
\(254\) | −5.25282e11 | − | 9.09815e11i | −0.496848 | − | 0.860566i | ||||
\(255\) | 3.70133e10 | + | 2.13697e10i | 0.0343287 | + | 0.0198197i | ||||
\(256\) | −3.43597e10 | + | 5.95128e10i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −7.22827e11 | + | 4.17324e11i | −0.644716 | + | 0.372227i | −0.786429 | − | 0.617681i | \(-0.788072\pi\) |
0.141713 | + | 0.989908i | \(0.454739\pi\) | |||||||
\(258\) | − | 3.58348e10i | − | 0.0313477i | ||||||
\(259\) | −6.80531e10 | − | 1.29956e12i | −0.0583914 | − | 1.11506i | ||||
\(260\) | 4.98298e11 | 0.419394 | ||||||||
\(261\) | −6.97673e11 | − | 1.20841e12i | −0.576036 | − | 0.997724i | ||||
\(262\) | 1.65954e11 | + | 9.58135e10i | 0.134425 | + | 0.0776105i | ||||
\(263\) | 1.57322e11 | − | 2.72490e11i | 0.125029 | − | 0.216557i | −0.796715 | − | 0.604355i | \(-0.793431\pi\) |
0.921744 | + | 0.387798i | \(0.126764\pi\) | |||||||
\(264\) | 6.19006e10 | − | 3.57383e10i | 0.0482698 | − | 0.0278686i | ||||
\(265\) | 9.47909e11i | 0.725332i | ||||||||
\(266\) | −4.58563e11 | − | 7.06189e11i | −0.344343 | − | 0.530290i | ||||
\(267\) | −4.93524e11 | −0.363707 | ||||||||
\(268\) | 4.73541e11 | + | 8.20197e11i | 0.342518 | + | 0.593258i | ||||
\(269\) | 2.12884e12 | + | 1.22909e12i | 1.51141 | + | 0.872612i | 0.999911 | + | 0.0133267i | \(0.00424213\pi\) |
0.511497 | + | 0.859285i | \(0.329091\pi\) | |||||||
\(270\) | −1.00957e11 | + | 1.74863e11i | −0.0703589 | + | 0.121865i | ||||
\(271\) | −7.69620e11 | + | 4.44340e11i | −0.526538 | + | 0.303997i | −0.739606 | − | 0.673040i | \(-0.764988\pi\) |
0.213067 | + | 0.977038i | \(0.431655\pi\) | |||||||
\(272\) | − | 1.45134e11i | − | 0.0974823i | ||||||
\(273\) | 4.44954e11 | − | 2.88930e11i | 0.293428 | − | 0.190537i | ||||
\(274\) | −4.73475e11 | −0.306580 | ||||||||
\(275\) | 4.55314e11 | + | 7.88627e11i | 0.289499 | + | 0.501428i | ||||
\(276\) | −8.59867e10 | − | 4.96445e10i | −0.0536891 | − | 0.0309974i | ||||
\(277\) | −1.80419e11 | + | 3.12495e11i | −0.110633 | + | 0.191621i | −0.916026 | − | 0.401120i | \(-0.868621\pi\) |
0.805393 | + | 0.592741i | \(0.201954\pi\) | |||||||
\(278\) | −7.97358e11 | + | 4.60355e11i | −0.480208 | + | 0.277248i | ||||
\(279\) | − | 3.31324e10i | − | 0.0195989i | ||||||
\(280\) | 2.99984e11 | − | 1.57090e10i | 0.174304 | − | 0.00912765i | ||||
\(281\) | −1.30733e12 | −0.746196 | −0.373098 | − | 0.927792i | \(-0.621705\pi\) | ||||
−0.373098 | + | 0.927792i | \(0.621705\pi\) | |||||||
\(282\) | 2.17962e11 | + | 3.77521e11i | 0.122218 | + | 0.211688i | ||||
\(283\) | 2.17619e12 | + | 1.25643e12i | 1.19885 | + | 0.692157i | 0.960299 | − | 0.278972i | \(-0.0899938\pi\) |
0.238553 | + | 0.971130i | \(0.423327\pi\) | |||||||
\(284\) | −1.69356e11 | + | 2.93333e11i | −0.0916661 | + | 0.158770i | ||||
\(285\) | 1.48020e11 | − | 8.54595e10i | 0.0787221 | − | 0.0454502i | ||||
\(286\) | 1.76002e12i | 0.919785i | ||||||||
\(287\) | 2.43032e11 | − | 4.76928e11i | 0.124811 | − | 0.244931i | ||||
\(288\) | 3.35406e11 | 0.169281 | ||||||||
\(289\) | −8.54736e11 | − | 1.48045e12i | −0.423978 | − | 0.734351i | ||||
\(290\) | −7.46018e11 | − | 4.30714e11i | −0.363714 | − | 0.209990i | ||||
\(291\) | −2.07427e11 | + | 3.59274e11i | −0.0994032 | + | 0.172171i | ||||
\(292\) | −1.43219e12 | + | 8.26877e11i | −0.674664 | + | 0.389517i | ||||
\(293\) | 3.76690e12i | 1.74440i | 0.489148 | + | 0.872201i | \(0.337308\pi\) | ||||
−0.489148 | + | 0.872201i | \(0.662692\pi\) | |||||||
\(294\) | 2.58761e11 | − | 1.87968e11i | 0.117805 | − | 0.0855751i | ||||
\(295\) | 3.70890e11 | 0.166010 | ||||||||
\(296\) | −4.48514e11 | − | 7.76849e11i | −0.197387 | − | 0.341883i | ||||
\(297\) | −6.17627e11 | − | 3.56587e11i | −0.267266 | − | 0.154306i | ||||
\(298\) | 7.86246e11 | − | 1.36182e12i | 0.334562 | − | 0.579479i | ||||
\(299\) | 2.11731e12 | − | 1.22243e12i | 0.885988 | − | 0.511525i | ||||
\(300\) | − | 1.89213e11i | − | 0.0778655i | ||||||
\(301\) | 4.73949e11 | + | 2.41514e11i | 0.191822 | + | 0.0977484i | ||||
\(302\) | −2.55867e12 | −1.01854 | ||||||||
\(303\) | 5.78790e10 | + | 1.00249e11i | 0.0226625 | + | 0.0392526i | ||||
\(304\) | −5.02648e11 | − | 2.90204e11i | −0.193596 | − | 0.111773i | ||||
\(305\) | −3.73924e11 | + | 6.47655e11i | −0.141672 | + | 0.245383i | ||||
\(306\) | −6.13468e11 | + | 3.54186e11i | −0.228657 | + | 0.132015i | ||||
\(307\) | − | 3.93450e12i | − | 1.44277i | −0.692534 | − | 0.721385i | \(-0.743506\pi\) | ||
0.692534 | − | 0.721385i | \(-0.256494\pi\) | |||||||
\(308\) | 5.54851e10 | + | 1.05956e12i | 0.0200181 | + | 0.382271i | ||||
\(309\) | 2.58423e11 | 0.0917356 | ||||||||
\(310\) | −1.02273e10 | − | 1.77142e10i | −0.00357233 | − | 0.00618745i | ||||
\(311\) | −3.04477e12 | − | 1.75790e12i | −1.04653 | − | 0.604216i | −0.124856 | − | 0.992175i | \(-0.539847\pi\) |
−0.921677 | + | 0.387959i | \(0.873180\pi\) | |||||||
\(312\) | 1.82851e11 | − | 3.16707e11i | 0.0618477 | − | 0.107123i | ||||
\(313\) | 2.01727e12 | − | 1.16467e12i | 0.671496 | − | 0.387688i | −0.125148 | − | 0.992138i | \(-0.539940\pi\) |
0.796643 | + | 0.604450i | \(0.206607\pi\) | |||||||
\(314\) | 2.19806e12i | 0.720098i | ||||||||
\(315\) | −7.98481e11 | − | 1.22966e12i | −0.257461 | − | 0.396491i | ||||
\(316\) | 1.65046e12 | 0.523806 | ||||||||
\(317\) | 1.50244e12 | + | 2.60230e12i | 0.469354 | + | 0.812946i | 0.999386 | − | 0.0350322i | \(-0.0111534\pi\) |
−0.530032 | + | 0.847978i | \(0.677820\pi\) | |||||||
\(318\) | 6.02469e11 | + | 3.47835e11i | 0.185267 | + | 0.106964i | ||||
\(319\) | 1.52130e12 | − | 2.63498e12i | 0.460535 | − | 0.797670i | ||||
\(320\) | 1.79324e11 | − | 1.03533e11i | 0.0534427 | − | 0.0308551i | ||||
\(321\) | − | 1.37651e12i | − | 0.403883i | ||||||
\(322\) | 1.23612e12 | − | 8.02671e11i | 0.357092 | − | 0.231877i | ||||
\(323\) | 1.22581e12 | 0.348667 | ||||||||
\(324\) | −7.80675e11 | − | 1.35217e12i | −0.218648 | − | 0.378709i | ||||
\(325\) | 4.03491e12 | + | 2.32956e12i | 1.11280 | + | 0.642475i | ||||
\(326\) | 2.00950e12 | − | 3.48056e12i | 0.545759 | − | 0.945282i | ||||
\(327\) | −8.77567e10 | + | 5.06664e10i | −0.0234715 | + | 0.0135513i | ||||
\(328\) | − | 3.68974e11i | − | 0.0971911i | ||||||
\(329\) | −6.46206e12 | + | 3.38394e11i | −1.67645 | + | 0.0877896i | ||||
\(330\) | −2.15373e11 | −0.0550329 | ||||||||
\(331\) | −7.41235e11 | − | 1.28386e12i | −0.186559 | − | 0.323130i | 0.757542 | − | 0.652787i | \(-0.226400\pi\) |
−0.944101 | + | 0.329657i | \(0.893067\pi\) | |||||||
\(332\) | −2.37632e12 | − | 1.37197e12i | −0.589135 | − | 0.340137i | ||||
\(333\) | −2.18911e12 | + | 3.79164e12i | −0.534621 | + | 0.925990i | ||||
\(334\) | 3.88774e12 | − | 2.24459e12i | 0.935331 | − | 0.540013i | ||||
\(335\) | − | 2.85374e12i | − | 0.676380i | ||||||
\(336\) | 1.00095e11 | − | 1.96427e11i | 0.0233731 | − | 0.0458675i | ||||
\(337\) | −1.82584e12 | −0.420062 | −0.210031 | − | 0.977695i | \(-0.567357\pi\) | ||||
−0.210031 | + | 0.977695i | \(0.567357\pi\) | |||||||
\(338\) | 2.94276e12 | + | 5.09700e12i | 0.667069 | + | 1.15540i | ||||
\(339\) | 1.43503e11 | + | 8.28513e10i | 0.0320525 | + | 0.0185055i | ||||
\(340\) | −2.18659e11 | + | 3.78729e11i | −0.0481253 | + | 0.0833554i | ||||
\(341\) | 6.25673e10 | − | 3.61233e10i | 0.0135699 | − | 0.00783457i | ||||
\(342\) | 2.83285e12i | 0.605471i | ||||||||
\(343\) | 7.42099e11 | + | 4.68920e12i | 0.156312 | + | 0.987708i | ||||
\(344\) | 3.66670e11 | 0.0761172 | ||||||||
\(345\) | 1.49589e11 | + | 2.59095e11i | 0.0306057 | + | 0.0530107i | ||||
\(346\) | −4.10905e12 | − | 2.37236e12i | −0.828630 | − | 0.478410i | ||||
\(347\) | −3.10590e12 | + | 5.37958e12i | −0.617363 | + | 1.06930i | 0.372602 | + | 0.927991i | \(0.378466\pi\) |
−0.989965 | + | 0.141313i | \(0.954868\pi\) | |||||||
\(348\) | −5.47503e11 | + | 3.16101e11i | −0.107273 | + | 0.0619341i | ||||
\(349\) | − | 2.68300e12i | − | 0.518195i | −0.965851 | − | 0.259098i | \(-0.916575\pi\) | ||
0.965851 | − | 0.259098i | \(-0.0834252\pi\) | |||||||
\(350\) | 2.50252e12 | + | 1.27523e12i | 0.476473 | + | 0.242800i | ||||
\(351\) | −3.64886e12 | −0.684892 | ||||||||
\(352\) | 3.65683e11 | + | 6.33381e11i | 0.0676692 | + | 0.117207i | ||||
\(353\) | −2.93269e12 | − | 1.69319e12i | −0.535048 | − | 0.308910i | 0.208022 | − | 0.978124i | \(-0.433298\pi\) |
−0.743070 | + | 0.669214i | \(0.766631\pi\) | |||||||
\(354\) | 1.36098e11 | − | 2.35729e11i | 0.0244814 | − | 0.0424030i | ||||
\(355\) | 8.83870e11 | − | 5.10303e11i | 0.156764 | − | 0.0905078i | ||||
\(356\) | − | 5.04985e12i | − | 0.883137i | ||||||
\(357\) | 2.43488e10 | + | 4.64971e11i | 0.00419890 | + | 0.0801834i | ||||
\(358\) | 1.83676e12 | 0.312346 | ||||||||
\(359\) | 3.00848e12 | + | 5.21084e12i | 0.504516 | + | 0.873848i | 0.999986 | + | 0.00522275i | \(0.00166246\pi\) |
−0.495470 | + | 0.868625i | \(0.665004\pi\) | |||||||
\(360\) | −8.75243e11 | − | 5.05322e11i | −0.144749 | − | 0.0835710i | ||||
\(361\) | −6.14462e11 | + | 1.06428e12i | −0.100221 | + | 0.173588i | ||||
\(362\) | 6.37921e11 | − | 3.68304e11i | 0.102618 | − | 0.0592466i | ||||
\(363\) | 5.37146e11i | 0.0852235i | ||||||||
\(364\) | 2.95640e12 | + | 4.55287e12i | 0.462654 | + | 0.712489i | ||||
\(365\) | 4.98309e12 | 0.769191 | ||||||||
\(366\) | 2.74423e11 | + | 4.75314e11i | 0.0417845 | + | 0.0723728i | ||||
\(367\) | −1.60328e12 | − | 9.25657e11i | −0.240813 | − | 0.139034i | 0.374737 | − | 0.927131i | \(-0.377733\pi\) |
−0.615550 | + | 0.788097i | \(0.711066\pi\) | |||||||
\(368\) | 5.07974e11 | − | 8.79836e11i | 0.0752666 | − | 0.130365i | ||||
\(369\) | −1.55961e12 | + | 9.00444e11i | −0.227974 | + | 0.131621i | ||||
\(370\) | 2.70292e12i | 0.389785i | ||||||||
\(371\) | −8.66089e12 | + | 5.62394e12i | −1.23223 | + | 0.800149i | ||||
\(372\) | −1.50116e10 | −0.00210723 | ||||||||
\(373\) | 3.41193e12 | + | 5.90963e12i | 0.472558 | + | 0.818495i | 0.999507 | − | 0.0314022i | \(-0.00999726\pi\) |
−0.526948 | + | 0.849897i | \(0.676664\pi\) | |||||||
\(374\) | −1.33769e12 | − | 7.72316e11i | −0.182809 | − | 0.105545i | ||||
\(375\) | −6.62004e11 | + | 1.14662e12i | −0.0892697 | + | 0.154620i | ||||
\(376\) | −3.86288e12 | + | 2.23024e12i | −0.514011 | + | 0.296764i | ||||
\(377\) | − | 1.55671e13i | − | 2.04410i | ||||||
\(378\) | −2.19668e12 | + | 1.15032e11i | −0.284647 | + | 0.0149059i | ||||
\(379\) | 6.50937e12 | 0.832421 | 0.416211 | − | 0.909268i | \(-0.363358\pi\) | ||||
0.416211 | + | 0.909268i | \(0.363358\pi\) | |||||||
\(380\) | 8.74441e11 | + | 1.51458e12i | 0.110360 | + | 0.191149i | ||||
\(381\) | 2.01195e12 | + | 1.16160e12i | 0.250607 | + | 0.144688i | ||||
\(382\) | 2.46202e12 | − | 4.26435e12i | 0.302674 | − | 0.524247i | ||||
\(383\) | 1.30895e13 | − | 7.55721e12i | 1.58828 | − | 0.916996i | 0.594694 | − | 0.803952i | \(-0.297273\pi\) |
0.993590 | − | 0.113044i | \(-0.0360600\pi\) | |||||||
\(384\) | − | 1.51965e11i | − | 0.0182007i | ||||||
\(385\) | 1.45154e12 | − | 2.84852e12i | 0.171603 | − | 0.336756i | ||||
\(386\) | −9.46525e12 | −1.10458 | ||||||||
\(387\) | −8.94820e11 | − | 1.54987e12i | −0.103082 | − | 0.178542i | ||||
\(388\) | −3.67617e12 | − | 2.12244e12i | −0.418059 | − | 0.241366i | ||||
\(389\) | 4.22365e12 | − | 7.31557e12i | 0.474176 | − | 0.821297i | −0.525387 | − | 0.850864i | \(-0.676079\pi\) |
0.999563 | + | 0.0295666i | \(0.00941271\pi\) | |||||||
\(390\) | −9.54299e11 | + | 5.50965e11i | −0.105770 | + | 0.0610662i | ||||
\(391\) | 2.14566e12i | 0.234789i | ||||||||
\(392\) | 1.92333e12 | + | 2.64770e12i | 0.207790 | + | 0.286048i | ||||
\(393\) | −4.23761e11 | −0.0452021 | ||||||||
\(394\) | −1.80189e12 | − | 3.12096e12i | −0.189778 | − | 0.328706i | ||||
\(395\) | −4.30689e12 | − | 2.48659e12i | −0.447897 | − | 0.258594i | ||||
\(396\) | 1.78482e12 | − | 3.09141e12i | 0.183282 | − | 0.317453i | ||||
\(397\) | 4.30296e12 | − | 2.48432e12i | 0.436330 | − | 0.251915i | −0.265710 | − | 0.964053i | \(-0.585606\pi\) |
0.702040 | + | 0.712138i | \(0.252273\pi\) | |||||||
\(398\) | 5.13309e12i | 0.514000i | ||||||||
\(399\) | 1.65903e12 | + | 8.45405e11i | 0.164055 | + | 0.0835989i | ||||
\(400\) | 1.93607e12 | 0.189069 | ||||||||
\(401\) | −6.21720e12 | − | 1.07685e13i | −0.599616 | − | 1.03857i | −0.992878 | − | 0.119139i | \(-0.961987\pi\) |
0.393262 | − | 0.919427i | \(-0.371347\pi\) | |||||||
\(402\) | −1.81377e12 | − | 1.04718e12i | −0.172764 | − | 0.0997452i | ||||
\(403\) | 1.84820e11 | − | 3.20118e11i | 0.0173870 | − | 0.0301151i | ||||
\(404\) | −1.02577e12 | + | 5.92231e11i | −0.0953114 | + | 0.0550280i | ||||
\(405\) | 4.70466e12i | 0.431770i | ||||||||
\(406\) | −4.90759e11 | − | 9.37167e12i | −0.0444875 | − | 0.849546i | ||||
\(407\) | −9.54686e12 | −0.854848 | ||||||||
\(408\) | 1.60474e11 | + | 2.77949e11i | 0.0141940 | + | 0.0245847i | ||||
\(409\) | −3.54043e12 | − | 2.04407e12i | −0.309342 | − | 0.178599i | 0.337290 | − | 0.941401i | \(-0.390490\pi\) |
−0.646632 | + | 0.762802i | \(0.723823\pi\) | |||||||
\(410\) | −5.55895e11 | + | 9.62839e11i | −0.0479815 | + | 0.0831064i | ||||
\(411\) | 9.06759e11 | − | 5.23518e11i | 0.0773184 | − | 0.0446398i | ||||
\(412\) | 2.64424e12i | 0.222748i | ||||||||
\(413\) | 2.20049e12 | + | 3.38876e12i | 0.183134 | + | 0.282027i | ||||
\(414\) | −4.95863e12 | −0.407718 | ||||||||
\(415\) | 4.13401e12 | + | 7.16032e12i | 0.335839 | + | 0.581690i | ||||
\(416\) | 3.24061e12 | + | 1.87097e12i | 0.260112 | + | 0.150176i | ||||
\(417\) | 1.01802e12 | − | 1.76327e12i | 0.0807379 | − | 0.139842i | ||||
\(418\) | −5.34956e12 | + | 3.08857e12i | −0.419215 | + | 0.242034i | ||||
\(419\) | 8.72267e12i | 0.675428i | 0.941249 | + | 0.337714i | \(0.109654\pi\) | ||||
−0.941249 | + | 0.337714i | \(0.890346\pi\) | |||||||
\(420\) | −5.57135e11 | + | 3.61775e11i | −0.0426299 | + | 0.0276816i | ||||
\(421\) | 5.48317e12 | 0.414592 | 0.207296 | − | 0.978278i | \(-0.433534\pi\) | ||||
0.207296 | + | 0.978278i | \(0.433534\pi\) | |||||||
\(422\) | 5.12888e12 | + | 8.88348e12i | 0.383231 | + | 0.663775i | ||||
\(423\) | 1.88539e13 | + | 1.08853e13i | 1.39220 | + | 0.803784i | ||||
\(424\) | −3.55913e12 | + | 6.16460e12i | −0.259726 | + | 0.449858i | ||||
\(425\) | −3.54114e12 | + | 2.04448e12i | −0.255387 | + | 0.147447i | ||||
\(426\) | − | 7.49023e11i | − | 0.0533884i | ||||||
\(427\) | −8.13600e12 | + | 4.26051e11i | −0.573154 | + | 0.0300139i | ||||
\(428\) | 1.40848e13 | 0.980690 | ||||||||
\(429\) | −1.94604e12 | − | 3.37064e12i | −0.133926 | − | 0.231967i | ||||
\(430\) | −9.56826e11 | − | 5.52424e11i | −0.0650865 | − | 0.0375777i | ||||
\(431\) | −3.82434e12 | + | 6.62395e12i | −0.257140 | + | 0.445380i | −0.965475 | − | 0.260497i | \(-0.916114\pi\) |
0.708334 | + | 0.705877i | \(0.249447\pi\) | |||||||
\(432\) | −1.31313e12 | + | 7.58134e11i | −0.0872745 | + | 0.0503880i | ||||
\(433\) | 5.81208e12i | 0.381849i | 0.981605 | + | 0.190925i | \(0.0611486\pi\) | ||||
−0.981605 | + | 0.190925i | \(0.938851\pi\) | |||||||
\(434\) | 1.01173e11 | − | 1.98543e11i | 0.00657077 | − | 0.0128945i | ||||
\(435\) | 1.90495e12 | 0.122303 | ||||||||
\(436\) | −5.18430e11 | − | 8.97947e11i | −0.0329047 | − | 0.0569926i | ||||
\(437\) | 7.43113e12 | + | 4.29036e12i | 0.466281 | + | 0.269207i | ||||
\(438\) | 1.82855e12 | − | 3.16713e12i | 0.113432 | − | 0.196470i | ||||
\(439\) | −2.46797e13 | + | 1.42488e13i | −1.51362 | + | 0.873890i | −0.513748 | + | 0.857941i | \(0.671743\pi\) |
−0.999873 | + | 0.0159485i | \(0.994923\pi\) | |||||||
\(440\) | − | 2.20375e12i | − | 0.133628i | ||||||
\(441\) | 6.49786e12 | − | 1.45912e13i | 0.389563 | − | 0.874777i | ||||
\(442\) | −7.90291e12 | −0.468464 | ||||||||
\(443\) | 2.10673e12 | + | 3.64897e12i | 0.123478 | + | 0.213871i | 0.921137 | − | 0.389238i | \(-0.127262\pi\) |
−0.797659 | + | 0.603109i | \(0.793928\pi\) | |||||||
\(444\) | 1.71791e12 | + | 9.91838e11i | 0.0995604 | + | 0.0574812i | ||||
\(445\) | −7.60809e12 | + | 1.31776e13i | −0.435989 | + | 0.755155i | ||||
\(446\) | 1.95697e13 | − | 1.12986e13i | 1.10895 | − | 0.640251i | ||||
\(447\) | 3.47739e12i | 0.194857i | ||||||||
\(448\) | 2.00989e12 | + | 1.02419e12i | 0.111373 | + | 0.0567534i | ||||
\(449\) | −2.16537e13 | −1.18659 | −0.593294 | − | 0.804986i | \(-0.702173\pi\) | ||||
−0.593294 | + | 0.804986i | \(0.702173\pi\) | |||||||
\(450\) | −4.72479e12 | − | 8.18357e12i | −0.256047 | − | 0.443486i | ||||
\(451\) | −3.40080e12 | − | 1.96345e12i | −0.182263 | − | 0.105230i | ||||
\(452\) | −8.47753e11 | + | 1.46835e12i | −0.0449342 | + | 0.0778284i | ||||
\(453\) | 4.90015e12 | − | 2.82910e12i | 0.256873 | − | 0.148306i | ||||
\(454\) | − | 1.04144e12i | − | 0.0539952i | ||||||
\(455\) | −8.55393e11 | − | 1.63348e13i | −0.0438641 | − | 0.837641i | ||||
\(456\) | 1.28351e12 | 0.0650989 | ||||||||
\(457\) | −1.73697e13 | − | 3.00852e13i | −0.871388 | − | 1.50929i | −0.860561 | − | 0.509347i | \(-0.829887\pi\) |
−0.0108266 | − | 0.999941i | \(-0.503446\pi\) | |||||||
\(458\) | 1.94618e13 | + | 1.12363e13i | 0.965730 | + | 0.557564i | ||||
\(459\) | 1.60117e12 | − | 2.77330e12i | 0.0785910 | − | 0.136124i | ||||
\(460\) | −2.65112e12 | + | 1.53062e12i | −0.128718 | + | 0.0743155i | ||||
\(461\) | 5.30868e12i | 0.254966i | 0.991841 | + | 0.127483i | \(0.0406898\pi\) | ||||
−0.991841 | + | 0.127483i | \(0.959310\pi\) | |||||||
\(462\) | −1.27781e12 | − | 1.96783e12i | −0.0607094 | − | 0.0934927i | ||||
\(463\) | −1.30848e13 | −0.614980 | −0.307490 | − | 0.951551i | \(-0.599489\pi\) | ||||
−0.307490 | + | 0.951551i | \(0.599489\pi\) | |||||||
\(464\) | −3.23442e12 | − | 5.60218e12i | −0.150386 | − | 0.260476i | ||||
\(465\) | 3.91728e10 | + | 2.26165e10i | 0.00180186 | + | 0.00104030i | ||||
\(466\) | 1.84972e12 | − | 3.20382e12i | 0.0841739 | − | 0.145793i | ||||
\(467\) | 1.20039e13 | − | 6.93045e12i | 0.540428 | − | 0.312016i | −0.204824 | − | 0.978799i | \(-0.565662\pi\) |
0.745252 | + | 0.666783i | \(0.232329\pi\) | |||||||
\(468\) | − | 1.82636e13i | − | 0.813501i | ||||||
\(469\) | 2.60742e13 | − | 1.69312e13i | 1.14907 | − | 0.746147i | ||||
\(470\) | 1.34403e13 | 0.586029 | ||||||||
\(471\) | −2.43038e12 | − | 4.20955e12i | −0.104850 | − | 0.181606i | ||||
\(472\) | 2.41203e12 | + | 1.39259e12i | 0.102961 | + | 0.0594446i | ||||
\(473\) | 1.95119e12 | − | 3.37956e12i | 0.0824127 | − | 0.142743i | ||||
\(474\) | −3.16083e12 | + | 1.82491e12i | −0.132102 | + | 0.0762692i | ||||
\(475\) | 1.63521e13i | 0.676249i | ||||||||
\(476\) | −4.75769e12 | + | 2.49142e11i | −0.194698 | + | 0.0101956i | ||||
\(477\) | 3.47428e13 | 1.40693 | ||||||||
\(478\) | −8.71083e12 | − | 1.50876e13i | −0.349076 | − | 0.604617i | ||||
\(479\) | −1.07412e13 | − | 6.20145e12i | −0.425967 | − | 0.245932i | 0.271660 | − | 0.962393i | \(-0.412427\pi\) |
−0.697627 | + | 0.716461i | \(0.745761\pi\) | |||||||
\(480\) | −2.28951e11 | + | 3.96554e11i | −0.00898537 | + | 0.0155631i | ||||
\(481\) | −4.23013e13 | + | 2.44227e13i | −1.64296 | + | 0.948566i | ||||
\(482\) | 1.81328e13i | 0.696997i | ||||||||
\(483\) | −1.47980e12 | + | 2.90397e12i | −0.0562947 | + | 0.110473i | ||||
\(484\) | −5.49620e12 | −0.206936 | ||||||||
\(485\) | 6.39533e12 | + | 1.10770e13i | 0.238317 | + | 0.412776i | ||||
\(486\) | 9.68306e12 | + | 5.59052e12i | 0.357134 | + | 0.206192i | ||||
\(487\) | 2.04639e13 | − | 3.54446e13i | 0.747041 | − | 1.29391i | −0.202194 | − | 0.979346i | \(-0.564807\pi\) |
0.949235 | − | 0.314568i | \(-0.101860\pi\) | |||||||
\(488\) | −4.86352e12 | + | 2.80796e12i | −0.175732 | + | 0.101459i | ||||
\(489\) | 8.88758e12i | 0.317862i | ||||||||
\(490\) | −1.02992e12 | − | 9.80688e12i | −0.0364606 | − | 0.347177i | ||||
\(491\) | 2.04943e13 | 0.718167 | 0.359083 | − | 0.933305i | \(-0.383089\pi\) | ||||
0.359083 | + | 0.933305i | \(0.383089\pi\) | |||||||
\(492\) | 4.07972e11 | + | 7.06628e11i | 0.0141516 | + | 0.0245113i | ||||
\(493\) | 1.18317e13 | + | 6.83104e12i | 0.406268 | + | 0.234559i | ||||
\(494\) | −1.58023e13 | + | 2.73704e13i | −0.537137 | + | 0.930349i | ||||
\(495\) | −9.31501e12 | + | 5.37803e12i | −0.313442 | + | 0.180966i | ||||
\(496\) | − | 1.53602e11i | − | 0.00511669i | ||||||
\(497\) | 9.90655e12 | + | 5.04816e12i | 0.326694 | + | 0.166476i | ||||
\(498\) | 6.06791e12 | 0.198104 | ||||||||
\(499\) | −7.30675e11 | − | 1.26557e12i | −0.0236168 | − | 0.0409055i | 0.853975 | − | 0.520313i | \(-0.174185\pi\) |
−0.877592 | + | 0.479408i | \(0.840851\pi\) | |||||||
\(500\) | −1.17325e13 | − | 6.77377e12i | −0.375441 | − | 0.216761i | ||||
\(501\) | −4.96366e12 | + | 8.59730e12i | −0.157258 | + | 0.272379i | ||||
\(502\) | −1.49130e13 | + | 8.61003e12i | −0.467786 | + | 0.270076i | ||||
\(503\) | − | 3.85526e13i | − | 1.19733i | −0.801000 | − | 0.598664i | \(-0.795698\pi\) | ||
0.801000 | − | 0.598664i | \(-0.204302\pi\) | |||||||
\(504\) | −5.75768e11 | − | 1.09950e13i | −0.0177049 | − | 0.338099i | ||||
\(505\) | 3.56901e12 | 0.108665 | ||||||||
\(506\) | −5.40625e12 | − | 9.36389e12i | −0.162983 | − | 0.282295i | ||||
\(507\) | −1.12714e13 | − | 6.50757e12i | −0.336465 | − | 0.194258i | ||||
\(508\) | −1.18858e13 | + | 2.05868e13i | −0.351325 | + | 0.608512i | ||||
\(509\) | −2.84519e13 | + | 1.64267e13i | −0.832765 | + | 0.480797i | −0.854798 | − | 0.518960i | \(-0.826319\pi\) |
0.0220336 | + | 0.999757i | \(0.492986\pi\) | |||||||
\(510\) | − | 9.67080e11i | − | 0.0280293i | ||||||
\(511\) | 2.95646e13 | + | 4.55297e13i | 0.848531 | + | 1.30674i | ||||
\(512\) | 1.55494e12 | 0.0441942 | ||||||||
\(513\) | −6.40323e12 | − | 1.10907e13i | −0.180224 | − | 0.312157i | ||||
\(514\) | 1.63557e13 | + | 9.44297e12i | 0.455883 | + | 0.263204i | ||||
\(515\) | 3.98381e12 | − | 6.90015e12i | 0.109967 | − | 0.190468i | ||||
\(516\) | −7.02215e11 | + | 4.05424e11i | −0.0191965 | + | 0.0110831i | ||||
\(517\) | 4.74718e13i | 1.28524i | ||||||||
\(518\) | −2.46962e13 | + | 1.60364e13i | −0.662187 | + | 0.429990i | ||||
\(519\) | 1.04924e13 | 0.278637 | ||||||||
\(520\) | −5.63760e12 | − | 9.76461e12i | −0.148278 | − | 0.256825i | ||||
\(521\) | 2.06896e12 | + | 1.19452e12i | 0.0538969 | + | 0.0311174i | 0.526706 | − | 0.850047i | \(-0.323427\pi\) |
−0.472809 | + | 0.881165i | \(0.656760\pi\) | |||||||
\(522\) | −1.57865e13 | + | 2.73431e13i | −0.407319 | + | 0.705497i | ||||
\(523\) | 1.46471e13 | − | 8.45648e12i | 0.374319 | − | 0.216113i | −0.301025 | − | 0.953616i | \(-0.597329\pi\) |
0.675344 | + | 0.737503i | \(0.263995\pi\) | |||||||
\(524\) | − | 4.33602e12i | − | 0.109758i | ||||||
\(525\) | −6.20264e12 | + | 3.24809e11i | −0.155518 | + | 0.00814388i | ||||
\(526\) | −7.11959e12 | −0.176818 | ||||||||
\(527\) | 1.62203e11 | + | 2.80943e11i | 0.00399029 | + | 0.00691139i | ||||
\(528\) | −1.40065e12 | − | 8.08666e11i | −0.0341319 | − | 0.0197061i | ||||
\(529\) | 1.32034e13 | − | 2.28689e13i | 0.318718 | − | 0.552036i | ||||
\(530\) | 1.85751e13 | − | 1.07244e13i | 0.444174 | − | 0.256444i | ||||
\(531\) | − | 1.35939e13i | − | 0.322011i | ||||||
\(532\) | −8.65038e12 | + | 1.69756e13i | −0.202991 | + | 0.398352i | ||||
\(533\) | −2.00915e13 | −0.467064 | ||||||||
\(534\) | 5.58358e12 | + | 9.67105e12i | 0.128590 | + | 0.222724i | ||||
\(535\) | −3.67544e13 | − | 2.12201e13i | −0.838571 | − | 0.484149i | ||||
\(536\) | 1.07150e13 | − | 1.85589e13i | 0.242197 | − | 0.419497i | ||||
\(537\) | −3.51760e12 | + | 2.03089e12i | −0.0787727 | + | 0.0454794i | ||||
\(538\) | − | 5.56221e13i | − | 1.23406i | ||||||
\(539\) | 3.46384e13 | − | 3.63774e12i | 0.761403 | − | 0.0799628i | ||||
\(540\) | 4.56881e12 | 0.0995026 | ||||||||
\(541\) | 2.40791e13 | + | 4.17061e13i | 0.519581 | + | 0.899940i | 0.999741 | + | 0.0227596i | \(0.00724522\pi\) |
−0.480160 | + | 0.877181i | \(0.659421\pi\) | |||||||
\(542\) | 1.74145e13 | + | 1.00543e13i | 0.372319 | + | 0.214958i | ||||
\(543\) | −8.14462e11 | + | 1.41069e12i | −0.0172533 | + | 0.0298836i | ||||
\(544\) | −2.84404e12 | + | 1.64201e12i | −0.0596955 | + | 0.0344652i | ||||
\(545\) | 3.12426e12i | 0.0649778i | ||||||||
\(546\) | −1.06959e13 | − | 5.45041e12i | −0.220422 | − | 0.112322i | ||||
\(547\) | −2.35374e13 | −0.480642 | −0.240321 | − | 0.970693i | \(-0.577253\pi\) | ||||
−0.240321 | + | 0.970693i | \(0.577253\pi\) | |||||||
\(548\) | 5.35675e12 | + | 9.27817e12i | 0.108392 | + | 0.187741i | ||||
\(549\) | 2.37379e13 | + | 1.37051e13i | 0.475971 | + | 0.274802i | ||||
\(550\) | 1.03026e13 | − | 1.78446e13i | 0.204707 | − | 0.354563i | ||||
\(551\) | 4.73162e13 | − | 2.73180e13i | 0.931648 | − | 0.537888i | ||||
\(552\) | 2.24665e12i | 0.0438370i | ||||||||
\(553\) | −2.83324e12 | − | 5.41043e13i | −0.0547844 | − | 1.04618i | ||||
\(554\) | 8.16483e12 | 0.156458 | ||||||||
\(555\) | −2.98860e12 | − | 5.17641e12i | −0.0567549 | − | 0.0983024i | ||||
\(556\) | 1.80422e13 | + | 1.04166e13i | 0.339558 | + | 0.196044i | ||||
\(557\) | −3.21838e12 | + | 5.57440e12i | −0.0600291 | + | 0.103973i | −0.894478 | − | 0.447112i | \(-0.852453\pi\) |
0.834449 | + | 0.551085i | \(0.185786\pi\) | |||||||
\(558\) | −6.49260e11 | + | 3.74851e11i | −0.0120018 | + | 0.00692926i | ||||
\(559\) | − | 1.99660e13i | − | 0.365791i | ||||||
\(560\) | −3.70176e12 | − | 5.70073e12i | −0.0672153 | − | 0.103512i | ||||
\(561\) | 3.41578e12 | 0.0614718 | ||||||||
\(562\) | 1.47907e13 | + | 2.56183e13i | 0.263820 | + | 0.456950i | ||||
\(563\) | −7.67015e13 | − | 4.42836e13i | −1.35601 | − | 0.782891i | −0.366923 | − | 0.930251i | \(-0.619589\pi\) |
−0.989083 | + | 0.147361i | \(0.952922\pi\) | |||||||
\(564\) | 4.93191e12 | − | 8.54232e12i | 0.0864211 | − | 0.149686i | ||||
\(565\) | 4.42443e12 | − | 2.55445e12i | 0.0768449 | − | 0.0443665i | ||||
\(566\) | − | 5.68594e13i | − | 0.978858i | ||||||
\(567\) | −4.29857e13 | + | 2.79127e13i | −0.733514 | + | 0.476306i | ||||
\(568\) | 7.66418e12 | 0.129635 | ||||||||
\(569\) | −1.78037e13 | − | 3.08369e13i | −0.298503 | − | 0.517022i | 0.677291 | − | 0.735716i | \(-0.263154\pi\) |
−0.975794 | + | 0.218693i | \(0.929821\pi\) | |||||||
\(570\) | −3.34931e12 | − | 1.93373e12i | −0.0556649 | − | 0.0321381i | ||||
\(571\) | 1.47020e13 | − | 2.54647e13i | 0.242213 | − | 0.419525i | −0.719131 | − | 0.694874i | \(-0.755460\pi\) |
0.961344 | + | 0.275349i | \(0.0887934\pi\) | |||||||
\(572\) | 3.44891e13 | − | 1.99123e13i | 0.563251 | − | 0.325193i | ||||
\(573\) | 1.08890e13i | 0.176284i | ||||||||
\(574\) | −1.20954e13 | + | 6.33392e11i | −0.194116 | + | 0.0101651i | ||||
\(575\) | −2.86228e13 | −0.455379 | ||||||||
\(576\) | −3.79468e12 | − | 6.57259e12i | −0.0598499 | − | 0.103663i | ||||
\(577\) | −3.31028e13 | − | 1.91119e13i | −0.517590 | − | 0.298831i | 0.218358 | − | 0.975869i | \(-0.429930\pi\) |
−0.735948 | + | 0.677038i | \(0.763263\pi\) | |||||||
\(578\) | −1.93405e13 | + | 3.34987e13i | −0.299797 | + | 0.519264i | ||||
\(579\) | 1.81271e13 | − | 1.04657e13i | 0.278570 | − | 0.160833i | ||||
\(580\) | 1.94919e13i | 0.296971i | ||||||||
\(581\) | −4.08956e13 | + | 8.02539e13i | −0.617726 | + | 1.21223i | ||||
\(582\) | 9.38707e12 | 0.140577 | ||||||||
\(583\) | 3.78790e13 | + | 6.56084e13i | 0.562414 | + | 0.974129i | ||||
\(584\) | 3.24068e13 | + | 1.87101e13i | 0.477059 | + | 0.275430i | ||||
\(585\) | −2.75160e13 | + | 4.76591e13i | −0.401611 | + | 0.695611i | ||||
\(586\) | 7.38159e13 | − | 4.26177e13i | 1.06822 | − | 0.616739i | ||||
\(587\) | − | 2.41345e13i | − | 0.346296i | −0.984896 | − | 0.173148i | \(-0.944606\pi\) | ||
0.984896 | − | 0.173148i | \(-0.0553939\pi\) | |||||||
\(588\) | −6.61096e12 | − | 2.94404e12i | −0.0940541 | − | 0.0418849i | ||||
\(589\) | 1.29733e12 | 0.0183010 | ||||||||
\(590\) | −4.19614e12 | − | 7.26792e12i | −0.0586935 | − | 0.101660i | ||||
\(591\) | 6.90166e12 | + | 3.98467e12i | 0.0957229 | + | 0.0552657i | ||||
\(592\) | −1.01487e13 | + | 1.75781e13i | −0.139573 | + | 0.241748i | ||||
\(593\) | −2.06936e13 | + | 1.19474e13i | −0.282203 | + | 0.162930i | −0.634420 | − | 0.772988i | \(-0.718761\pi\) |
0.352217 | + | 0.935918i | \(0.385428\pi\) | |||||||
\(594\) | 1.61373e13i | 0.218222i | ||||||||
\(595\) | 1.27906e13 | + | 6.51779e12i | 0.171516 | + | 0.0874008i | ||||
\(596\) | −3.55814e13 | −0.473143 | ||||||||
\(597\) | −5.67562e12 | − | 9.83046e12i | −0.0748414 | − | 0.129629i | ||||
\(598\) | −4.79092e13 | − | 2.76604e13i | −0.626488 | − | 0.361703i | ||||
\(599\) | 1.32430e13 | − | 2.29376e13i | 0.171733 | − | 0.297450i | −0.767293 | − | 0.641297i | \(-0.778397\pi\) |
0.939026 | + | 0.343847i | \(0.111730\pi\) | |||||||
\(600\) | −3.70780e12 | + | 2.14070e12i | −0.0476827 | + | 0.0275296i | ||||
\(601\) | 1.28873e14i | 1.64357i | 0.569795 | + | 0.821787i | \(0.307022\pi\) | ||||
−0.569795 | + | 0.821787i | \(0.692978\pi\) | |||||||
\(602\) | −6.29436e11 | − | 1.20199e13i | −0.00796103 | − | 0.152026i | ||||
\(603\) | −1.04596e14 | −1.31198 | ||||||||
\(604\) | 2.89480e13 | + | 5.01395e13i | 0.360109 | + | 0.623728i | ||||
\(605\) | 1.43424e13 | + | 8.28057e12i | 0.176947 | + | 0.102161i | ||||
\(606\) | 1.30965e12 | − | 2.26838e12i | 0.0160248 | − | 0.0277558i | ||||
\(607\) | 9.69265e13 | − | 5.59606e13i | 1.17625 | − | 0.679108i | 0.221105 | − | 0.975250i | \(-0.429034\pi\) |
0.955144 | + | 0.296142i | \(0.0957003\pi\) | |||||||
\(608\) | 1.31331e13i | 0.158070i | ||||||||
\(609\) | 1.13021e13 | + | 1.74052e13i | 0.134918 | + | 0.207775i | ||||
\(610\) | 1.69218e13 | 0.200354 | ||||||||
\(611\) | 1.21442e14 | + | 2.10343e14i | 1.42614 | + | 2.47014i | ||||
\(612\) | 1.38812e13 | + | 8.01431e12i | 0.161685 | + | 0.0933489i | ||||
\(613\) | 6.25395e13 | − | 1.08322e14i | 0.722523 | − | 1.25145i | −0.237462 | − | 0.971397i | \(-0.576316\pi\) |
0.959985 | − | 0.280050i | \(-0.0903510\pi\) | |||||||
\(614\) | −7.71001e13 | + | 4.45138e13i | −0.883513 | + | 0.510097i | ||||
\(615\) | − | 2.45860e12i | − | 0.0279455i | ||||||
\(616\) | 2.01353e13 | − | 1.30748e13i | 0.227015 | − | 0.147412i | ||||
\(617\) | 4.46385e13 | 0.499210 | 0.249605 | − | 0.968348i | \(-0.419699\pi\) | ||||
0.249605 | + | 0.968348i | \(0.419699\pi\) | |||||||
\(618\) | −2.92372e12 | − | 5.06403e12i | −0.0324334 | − | 0.0561764i | ||||
\(619\) | −8.36532e13 | − | 4.82972e13i | −0.920512 | − | 0.531458i | −0.0367137 | − | 0.999326i | \(-0.511689\pi\) |
−0.883798 | + | 0.467868i | \(0.845022\pi\) | |||||||
\(620\) | −2.31417e11 | + | 4.00826e11i | −0.00252602 | + | 0.00437519i | ||||
\(621\) | 1.94132e13 | − | 1.12082e13i | 0.210203 | − | 0.121361i | ||||
\(622\) | 7.95534e13i | 0.854490i | ||||||||
\(623\) | −1.65540e14 | + | 8.66872e12i | −1.76386 | + | 0.0923665i | ||||
\(624\) | −8.27488e12 | −0.0874659 | ||||||||
\(625\) | −1.56514e13 | − | 2.71091e13i | −0.164117 | − | 0.284259i | ||||
\(626\) | −4.56457e13 | − | 2.63536e13i | −0.474819 | − | 0.274137i | ||||
\(627\) | 6.83003e12 | − | 1.18300e13i | 0.0704831 | − | 0.122080i | ||||
\(628\) | 4.30730e13 | − | 2.48682e13i | 0.440968 | − | 0.254593i | ||||
\(629\) | − | 4.28678e13i | − | 0.435390i | ||||||
\(630\) | −1.50626e13 | + | 2.95590e13i | −0.151774 | + | 0.297843i | ||||
\(631\) | −3.01436e12 | −0.0301334 | −0.0150667 | − | 0.999886i | \(-0.504796\pi\) | ||||
−0.0150667 | + | 0.999886i | \(0.504796\pi\) | |||||||
\(632\) | −1.86729e13 | − | 3.23424e13i | −0.185193 | − | 0.320764i | ||||
\(633\) | −1.96448e13 | − | 1.13419e13i | −0.193299 | − | 0.111601i | ||||
\(634\) | 3.39963e13 | − | 5.88834e13i | 0.331884 | − | 0.574839i | ||||
\(635\) | 6.20319e13 | − | 3.58141e13i | 0.600823 | − | 0.346885i | ||||
\(636\) | − | 1.57412e13i | − | 0.151270i | ||||||
\(637\) | 1.44174e14 | − | 1.04730e14i | 1.37464 | − | 0.998560i | ||||
\(638\) | −6.88464e13 | −0.651295 | ||||||||
\(639\) | −1.87036e13 | − | 3.23957e13i | −0.175559 | − | 0.304076i | ||||
\(640\) | −4.05763e12 | − | 2.34268e12i | −0.0377897 | − | 0.0218179i | ||||
\(641\) | −2.71055e13 | + | 4.69481e13i | −0.250476 | + | 0.433838i | −0.963657 | − | 0.267142i | \(-0.913921\pi\) |
0.713181 | + | 0.700980i | \(0.247254\pi\) | |||||||
\(642\) | −2.69740e13 | + | 1.55735e13i | −0.247327 | + | 0.142794i | ||||
\(643\) | − | 5.90302e13i | − | 0.537056i | −0.963272 | − | 0.268528i | \(-0.913463\pi\) | ||
0.963272 | − | 0.268528i | \(-0.0865372\pi\) | |||||||
\(644\) | −2.97141e13 | − | 1.51417e13i | −0.268246 | − | 0.136692i | ||||
\(645\) | 2.44325e12 | 0.0218861 | ||||||||
\(646\) | −1.38685e13 | − | 2.40209e13i | −0.123272 | − | 0.213514i | ||||
\(647\) | 1.20771e14 | + | 6.97272e13i | 1.06523 | + | 0.615008i | 0.926873 | − | 0.375375i | \(-0.122486\pi\) |
0.138352 | + | 0.990383i | \(0.455819\pi\) | |||||||
\(648\) | −1.76647e13 | + | 3.05961e13i | −0.154607 | + | 0.267788i | ||||
\(649\) | 2.56707e13 | − | 1.48210e13i | 0.222953 | − | 0.128722i | ||||
\(650\) | − | 1.05424e14i | − | 0.908597i | ||||||
\(651\) | 2.57694e10 | + | 4.92099e11i | 0.000220394 | + | 0.00420870i | ||||
\(652\) | −9.09398e13 | −0.771820 | ||||||||
\(653\) | −1.06290e14 | − | 1.84099e14i | −0.895211 | − | 1.55055i | −0.833543 | − | 0.552455i | \(-0.813691\pi\) |
−0.0616681 | − | 0.998097i | \(-0.519642\pi\) | |||||||
\(654\) | 1.98571e12 | + | 1.14645e12i | 0.0165969 | + | 0.00958222i | ||||
\(655\) | −6.53265e12 | + | 1.13149e13i | −0.0541854 | + | 0.0938519i | ||||
\(656\) | −7.23038e12 | + | 4.17446e12i | −0.0595171 | + | 0.0343622i | ||||
\(657\) | − | 1.82640e14i | − | 1.49200i | ||||||
\(658\) | 7.97410e13 | + | 1.22802e14i | 0.646476 | + | 0.995576i | ||||
\(659\) | 1.23682e14 | 0.995129 | 0.497564 | − | 0.867427i | \(-0.334228\pi\) | ||||
0.497564 | + | 0.867427i | \(0.334228\pi\) | |||||||
\(660\) | 2.43667e12 | + | 4.22044e12i | 0.0194571 | + | 0.0337006i | ||||
\(661\) | −1.21766e13 | − | 7.03016e12i | −0.0964980 | − | 0.0557132i | 0.450974 | − | 0.892537i | \(-0.351077\pi\) |
−0.547472 | + | 0.836824i | \(0.684410\pi\) | |||||||
\(662\) | −1.67722e13 | + | 2.90504e13i | −0.131917 | + | 0.228487i | ||||
\(663\) | 1.51350e13 | − | 8.73820e12i | 0.118145 | − | 0.0682110i | ||||
\(664\) | 6.20882e13i | 0.481026i | ||||||||
\(665\) | 4.81486e13 | − | 3.12652e13i | 0.370233 | − | 0.240410i | ||||
\(666\) | 9.90676e13 | 0.756068 | ||||||||
\(667\) | 4.78176e13 | + | 8.28225e13i | 0.362208 | + | 0.627363i | ||||
\(668\) | −8.79696e13 | − | 5.07893e13i | −0.661379 | − | 0.381847i | ||||
\(669\) | −2.49856e13 | + | 4.32763e13i | −0.186448 | + | 0.322938i | ||||
\(670\) | −5.59217e13 | + | 3.22864e13i | −0.414196 | + | 0.239136i | ||||
\(671\) | 5.97689e13i | 0.439402i | ||||||||
\(672\) | −4.98162e12 | + | 2.60868e11i | −0.0363516 | + | 0.00190360i | ||||
\(673\) | 2.90692e13 | 0.210551 | 0.105275 | − | 0.994443i | \(-0.466428\pi\) | ||||
0.105275 | + | 0.994443i | \(0.466428\pi\) | |||||||
\(674\) | 2.06570e13 | + | 3.57790e13i | 0.148514 | + | 0.257235i | ||||
\(675\) | 3.69954e13 | + | 2.13593e13i | 0.264015 | + | 0.152429i | ||||
\(676\) | 6.65870e13 | − | 1.15332e14i | 0.471689 | − | 0.816989i | ||||
\(677\) | −2.03747e14 | + | 1.17633e14i | −1.43267 | + | 0.827154i | −0.997324 | − | 0.0731078i | \(-0.976708\pi\) |
−0.435349 | + | 0.900262i | \(0.643375\pi\) | |||||||
\(678\) | − | 3.74942e12i | − | 0.0261707i | ||||||
\(679\) | −6.32656e13 | + | 1.24153e14i | −0.438348 | + | 0.860218i | ||||
\(680\) | 9.89539e12 | 0.0680594 | ||||||||
\(681\) | 1.15151e12 | + | 1.99448e12i | 0.00786201 | + | 0.0136174i | ||||
\(682\) | −1.41574e12 | − | 8.17376e11i | −0.00959535 | − | 0.00553988i | ||||
\(683\) | −8.72058e13 | + | 1.51045e14i | −0.586735 | + | 1.01625i | 0.407922 | + | 0.913017i | \(0.366253\pi\) |
−0.994657 | + | 0.103237i | \(0.967080\pi\) | |||||||
\(684\) | 5.55123e13 | − | 3.20500e13i | 0.370774 | − | 0.214066i | ||||
\(685\) | − | 3.22819e13i | − | 0.214046i | ||||||
\(686\) | 8.34934e13 | − | 6.75944e13i | 0.549581 | − | 0.444928i | ||||
\(687\) | −4.96955e13 | −0.324738 | ||||||||
\(688\) | −4.14839e12 | − | 7.18523e12i | −0.0269115 | − | 0.0466121i | ||||
\(689\) | 3.35677e14 | + | 1.93803e14i | 2.16185 | + | 1.24814i | ||||
\(690\) | 3.38480e12 | − | 5.86265e12i | 0.0216415 | − | 0.0374842i | ||||
\(691\) | −1.72653e14 | + | 9.96813e13i | −1.09593 | + | 0.632737i | −0.935150 | − | 0.354252i | \(-0.884735\pi\) |
−0.160784 | + | 0.986990i | \(0.551402\pi\) | |||||||
\(692\) | 1.07361e14i | 0.676573i | ||||||||
\(693\) | −1.04404e14 | − | 5.32020e13i | −0.653208 | − | 0.332860i | ||||
\(694\) | 1.40557e14 | 0.873083 | ||||||||
\(695\) | −3.13874e13 | − | 5.43645e13i | −0.193567 | − | 0.335268i | ||||
\(696\) | 1.23886e13 | + | 7.15255e12i | 0.0758535 | + | 0.0437940i | ||||
\(697\) | 8.81640e12 | − | 1.52705e13i | 0.0535954 | − | 0.0928299i | ||||
\(698\) | −5.25758e13 | + | 3.03547e13i | −0.317329 | + | 0.183210i | ||||
\(699\) | 8.18091e12i | 0.0490248i | ||||||||
\(700\) | −3.32352e12 | − | 6.34669e13i | −0.0197746 | − | 0.377622i | ||||
\(701\) | 6.05891e13 | 0.357935 | 0.178968 | − | 0.983855i | \(-0.442724\pi\) | ||||
0.178968 | + | 0.983855i | \(0.442724\pi\) | |||||||
\(702\) | 4.12822e13 | + | 7.15028e13i | 0.242146 | + | 0.419409i | ||||
\(703\) | −1.48465e14 | − | 8.57164e13i | −0.864665 | − | 0.499215i | ||||
\(704\) | 8.27446e12 | − | 1.43318e13i | 0.0478494 | − | 0.0828775i | ||||
\(705\) | −2.57397e13 | + | 1.48608e13i | −0.147794 | + | 0.0853291i | ||||
\(706\) | 7.66250e13i | 0.436865i | ||||||||
\(707\) | 2.11749e13 | + | 3.26095e13i | 0.119874 | + | 0.184607i | ||||
\(708\) | −6.15910e12 | −0.0346219 | ||||||||
\(709\) | −1.41069e14 | − | 2.44339e14i | −0.787410 | − | 1.36383i | −0.927549 | − | 0.373703i | \(-0.878088\pi\) |
0.140138 | − | 0.990132i | \(-0.455245\pi\) | |||||||
\(710\) | −1.99997e13 | − | 1.15468e13i | −0.110849 | − | 0.0639987i | ||||
\(711\) | −9.11385e13 | + | 1.57856e14i | −0.501596 | + | 0.868789i | ||||
\(712\) | −9.89564e13 | + | 5.71325e13i | −0.540809 | + | 0.312236i | ||||
\(713\) | 2.27085e12i | 0.0123237i | ||||||||
\(714\) | 8.83606e12 | − | 5.73768e12i | 0.0476176 | − | 0.0309204i | ||||
\(715\) | −1.19999e14 | −0.642168 | ||||||||
\(716\) | −2.07805e13 | − | 3.59929e13i | −0.110431 | − | 0.191272i | ||||
\(717\) | 3.33645e13 | + | 1.92630e13i | 0.176071 | + | 0.101655i | ||||
\(718\) | 6.80742e13 | − | 1.17908e14i | 0.356747 | − | 0.617904i | ||||
\(719\) | 1.13014e14 | − | 6.52487e13i | 0.588150 | − | 0.339569i | −0.176216 | − | 0.984352i | \(-0.556386\pi\) |
0.764366 | + | 0.644783i | \(0.223052\pi\) | |||||||
\(720\) | 2.28683e13i | 0.118187i | ||||||||
\(721\) | 8.66815e13 | − | 4.53918e12i | 0.444887 | − | 0.0232971i | ||||
\(722\) | 2.78074e13 | 0.141734 | ||||||||
\(723\) | −2.00494e13 | − | 3.47265e13i | −0.101487 | − | 0.175780i | ||||
\(724\) | −1.44345e13 | − | 8.33376e12i | −0.0725620 | − | 0.0418937i | ||||
\(725\) | −9.11251e13 | + | 1.57833e14i | −0.454934 | + | 0.787968i | ||||
\(726\) | 1.05259e13 | − | 6.07712e12i | 0.0521885 | − | 0.0301311i | ||||
\(727\) | 4.86034e13i | 0.239329i | 0.992814 | + | 0.119664i | \(0.0381819\pi\) | ||||
−0.992814 | + | 0.119664i | \(0.961818\pi\) | |||||||
\(728\) | 5.57698e13 | − | 1.09443e14i | 0.272736 | − | 0.535219i | ||||
\(729\) | 1.55345e14 | 0.754501 | ||||||||
\(730\) | −5.63772e13 | − | 9.76482e13i | −0.271950 | − | 0.471031i | ||||
\(731\) | 1.51751e13 | + | 8.76134e12i | 0.0727017 | + | 0.0419743i | ||||
\(732\) | 6.20948e12 | − | 1.07551e13i | 0.0295461 | − | 0.0511753i | ||||
\(733\) | −2.07717e14 | + | 1.19925e14i | −0.981640 | + | 0.566750i | −0.902765 | − | 0.430134i | \(-0.858466\pi\) |
−0.0788751 | + | 0.996885i | \(0.525133\pi\) | |||||||
\(734\) | 4.18904e13i | 0.196623i | ||||||||
\(735\) | 1.28158e13 | + | 1.76425e13i | 0.0597462 | + | 0.0822479i | ||||
\(736\) | −2.29883e13 | −0.106443 | ||||||||
\(737\) | −1.14037e14 | − | 1.97518e14i | −0.524457 | − | 0.908386i | ||||
\(738\) | 3.52900e13 | + | 2.03747e13i | 0.161202 | + | 0.0930700i | ||||
\(739\) | 7.59452e12 | − | 1.31541e13i | 0.0344571 | − | 0.0596814i | −0.848283 | − | 0.529544i | \(-0.822363\pi\) |
0.882740 | + | 0.469862i | \(0.155696\pi\) | |||||||
\(740\) | 5.29662e13 | − | 3.05801e13i | 0.238693 | − | 0.137810i | ||||
\(741\) | − | 6.98899e13i | − | 0.312841i | ||||||
\(742\) | 2.08193e14 | + | 1.06090e14i | 0.925649 | + | 0.471690i | ||||
\(743\) | 2.57095e14 | 1.13540 | 0.567702 | − | 0.823234i | \(-0.307833\pi\) | ||||
0.567702 | + | 0.823234i | \(0.307833\pi\) | |||||||
\(744\) | 1.69837e11 | + | 2.94166e11i | 0.000745019 | + | 0.00129041i | ||||
\(745\) | 9.28499e13 | + | 5.36069e13i | 0.404576 | + | 0.233582i | ||||
\(746\) | 7.72031e13 | − | 1.33720e14i | 0.334149 | − | 0.578763i | ||||
\(747\) | 2.62440e14 | − | 1.51520e14i | 1.12831 | − | 0.651429i | ||||
\(748\) | 3.49510e13i | 0.149263i | ||||||||
\(749\) | −2.41784e13 | − | 4.61717e14i | −0.102570 | − | 1.95870i | ||||
\(750\) | 2.99589e13 | 0.126246 | ||||||||
\(751\) | 4.94995e13 | + | 8.57357e13i | 0.207205 | + | 0.358890i | 0.950833 | − | 0.309704i | \(-0.100230\pi\) |
−0.743628 | + | 0.668594i | \(0.766896\pi\) | |||||||
\(752\) | 8.74070e13 | + | 5.04645e13i | 0.363460 | + | 0.209844i | ||||
\(753\) | 1.90401e13 | − | 3.29785e13i | 0.0786493 | − | 0.136225i | ||||
\(754\) | −3.05052e14 | + | 1.76122e14i | −1.25175 | + | 0.722697i | ||||
\(755\) | − | 1.74452e14i | − | 0.711118i | ||||||
\(756\) | 2.71067e13 | + | 4.17445e13i | 0.109766 | + | 0.169040i | ||||
\(757\) | −8.56079e13 | −0.344377 | −0.172189 | − | 0.985064i | \(-0.555084\pi\) | ||||
−0.172189 | + | 0.985064i | \(0.555084\pi\) | |||||||
\(758\) | −7.36452e13 | − | 1.27557e14i | −0.294305 | − | 0.509752i | ||||
\(759\) | 2.07072e13 | + | 1.19553e13i | 0.0822077 | + | 0.0474626i | ||||
\(760\) | 1.97863e13 | − | 3.42709e13i | 0.0780364 | − | 0.135163i | ||||
\(761\) | −1.58575e14 | + | 9.15532e13i | −0.621313 | + | 0.358715i | −0.777380 | − | 0.629031i | \(-0.783452\pi\) |
0.156067 | + | 0.987746i | \(0.450118\pi\) | |||||||
\(762\) | − | 5.25681e13i | − | 0.204620i | ||||||
\(763\) | −2.85459e13 | + | 1.85362e13i | −0.110388 | + | 0.0716801i | ||||
\(764\) | −1.11418e14 | −0.428046 | ||||||||
\(765\) | −2.41487e13 | − | 4.18268e13i | −0.0921693 | − | 0.159642i | ||||
\(766\) | −2.96181e14 | − | 1.71000e14i | −1.12309 | − | 0.648414i | ||||
\(767\) | 7.58297e13 | − | 1.31341e14i | 0.285669 | − | 0.494792i | ||||
\(768\) | −2.97790e12 | + | 1.71929e12i | −0.0111456 | + | 0.00643492i | ||||
\(769\) | 3.66664e14i | 1.36344i | 0.731612 | + | 0.681721i | \(0.238768\pi\) | ||||
−0.731612 | + | 0.681721i | \(0.761232\pi\) | |||||||
\(770\) | −7.22416e13 | + | 3.78302e12i | −0.266891 | + | 0.0139761i | ||||
\(771\) | −4.17641e13 | −0.153296 | ||||||||
\(772\) | 1.07087e14 | + | 1.85480e14i | 0.390526 | + | 0.676412i | ||||
\(773\) | 3.86014e14 | + | 2.22865e14i | 1.39864 | + | 0.807505i | 0.994250 | − | 0.107082i | \(-0.0341507\pi\) |
0.404389 | + | 0.914587i | \(0.367484\pi\) | |||||||
\(774\) | −2.02475e13 | + | 3.50696e13i | −0.0728897 | + | 0.126249i | ||||
\(775\) | −3.74774e12 | + | 2.16376e12i | −0.0134048 | + | 0.00773928i | ||||
\(776\) | 9.60507e13i | 0.341344i | ||||||||
\(777\) | 2.95647e13 | − | 5.80180e13i | 0.104392 | − | 0.204860i | ||||
\(778\) | −1.91140e14 | −0.670586 | ||||||||
\(779\) | −3.52577e13 | − | 6.10681e13i | −0.122904 | − | 0.212876i | ||||
\(780\) | 2.15933e13 | + | 1.24669e13i | 0.0747905 | + | 0.0431803i | ||||
\(781\) | 4.07840e13 | − | 7.06400e13i | 0.140357 | − | 0.243106i | ||||
\(782\) | 4.20463e13 | − | 2.42754e13i | 0.143778 | − | 0.0830105i | ||||
\(783\) | − | 1.42732e14i | − | 0.484968i | ||||||
\(784\) | 3.01241e13 | − | 6.76448e13i | 0.101703 | − | 0.228378i | ||||
\(785\) | −1.49866e14 | −0.502752 | ||||||||
\(786\) | 4.79431e12 | + | 8.30400e12i | 0.0159814 | + | 0.0276805i | ||||
\(787\) | −3.75403e14 | − | 2.16739e14i | −1.24344 | − | 0.717899i | −0.273645 | − | 0.961831i | \(-0.588229\pi\) |
−0.969792 | + | 0.243931i | \(0.921563\pi\) | |||||||
\(788\) | −4.07721e13 | + | 7.06193e13i | −0.134194 | + | 0.232430i | ||||
\(789\) | 1.36349e13 | − | 7.87209e12i | 0.0445929 | − | 0.0257457i | ||||
\(790\) | 1.12530e14i | 0.365707i | ||||||||
\(791\) | 4.95897e13 | + | 2.52698e13i | 0.160143 | + | 0.0816055i | ||||
\(792\) | −8.07719e13 | −0.259200 | ||||||||
\(793\) | 1.52900e14 | + | 2.64830e14i | 0.487575 | + | 0.844504i | ||||
\(794\) | −9.73650e13 | − | 5.62137e13i | −0.308532 | − | 0.178131i | ||||
\(795\) | −2.37157e13 | + | 4.10768e13i | −0.0746794 | + | 0.129348i | ||||
\(796\) | 1.00588e14 | − | 5.80742e13i | 0.314759 | − | 0.181726i | ||||
\(797\) | 1.71452e14i | 0.533153i | 0.963814 | + | 0.266576i | \(0.0858924\pi\) | ||||
−0.963814 | + | 0.266576i | \(0.914108\pi\) | |||||||
\(798\) | −2.20330e12 | − | 4.20749e13i | −0.00680863 | − | 0.130020i | ||||
\(799\) | −2.13160e14 | −0.654594 | ||||||||
\(800\) | −2.19042e13 | − | 3.79391e13i | −0.0668462 | − | 0.115781i | ||||
\(801\) | 4.82986e14 | + | 2.78852e14i | 1.46478 | + | 0.845690i | ||||
\(802\) | −1.40679e14 | + | 2.43664e14i | −0.423993 | + | 0.734377i | ||||
\(803\) | 3.44899e14 | − | 1.99127e14i | 1.03303 | − | 0.596421i | ||||
\(804\) | 4.73900e13i | 0.141061i | ||||||||
\(805\) | 5.47268e13 | + | 8.42795e13i | 0.161890 | + | 0.249312i | ||||
\(806\) | −8.36400e12 | −0.0245889 | ||||||||
\(807\) | 6.15010e13 | + | 1.06523e14i | 0.179686 | + | 0.311226i | ||||
\(808\) | 2.32106e13 | + | 1.34007e13i | 0.0673953 | + | 0.0389107i | ||||
\(809\) | −2.28938e14 | + | 3.96533e14i | −0.660656 | + | 1.14429i | 0.319787 | + | 0.947489i | \(0.396389\pi\) |
−0.980443 | + | 0.196801i | \(0.936945\pi\) | |||||||
\(810\) | 9.21921e13 | − | 5.32271e13i | 0.264404 | − | 0.152654i | ||||
\(811\) | 1.61895e14i | 0.461455i | 0.973018 | + | 0.230728i | \(0.0741106\pi\) | ||||
−0.973018 | + | 0.230728i | \(0.925889\pi\) | |||||||
\(812\) | −1.78094e14 | + | 1.15645e14i | −0.504510 | + | 0.327603i | ||||
\(813\) | −4.44678e13 | −0.125197 | ||||||||
\(814\) | 1.08010e14 | + | 1.87080e14i | 0.302234 | + | 0.523485i | ||||
\(815\) | 2.37308e14 | + | 1.37010e14i | 0.659969 | + | 0.381034i | ||||
\(816\) | 3.63112e12 | − | 6.28928e12i | 0.0100367 | − | 0.0173840i | ||||
\(817\) | 6.06867e13 | − | 3.50375e13i | 0.166718 | − | 0.0962549i | ||||
\(818\) | 9.25040e13i | 0.252577i | ||||||||
\(819\) | −5.98705e14 | + | 3.13519e13i | −1.62478 | + | 0.0850834i | ||||
\(820\) | 2.51570e13 | 0.0678561 | ||||||||
\(821\) | −1.70280e14 | − | 2.94933e14i | −0.456506 | − | 0.790692i | 0.542267 | − | 0.840206i | \(-0.317566\pi\) |
−0.998773 | + | 0.0495142i | \(0.984233\pi\) | |||||||
\(822\) | −2.05176e13 | − | 1.18459e13i | −0.0546724 | − | 0.0315651i | ||||
\(823\) | 2.05994e14 | − | 3.56792e14i | 0.545577 | − | 0.944966i | −0.452994 | − | 0.891514i | \(-0.649644\pi\) |
0.998570 | − | 0.0534527i | \(-0.0170226\pi\) | |||||||
\(824\) | 5.18163e13 | − | 2.99161e13i | 0.136405 | − | 0.0787534i | ||||
\(825\) | 4.55660e13i | 0.119226i | ||||||||
\(826\) | 4.15102e13 | − | 8.14600e13i | 0.107958 | − | 0.211858i | ||||
\(827\) | 2.52271e14 | 0.652138 | 0.326069 | − | 0.945346i | \(-0.394276\pi\) | ||||
0.326069 | + | 0.945346i | \(0.394276\pi\) | |||||||
\(828\) | 5.61005e13 | + | 9.71690e13i | 0.144150 | + | 0.249675i | ||||
\(829\) | −4.27091e14 | − | 2.46581e14i | −1.09081 | − | 0.629777i | −0.157016 | − | 0.987596i | \(-0.550187\pi\) |
−0.933791 | + | 0.357819i | \(0.883521\pi\) | |||||||
\(830\) | 9.35420e13 | − | 1.62020e14i | 0.237474 | − | 0.411317i | ||||
\(831\) | −1.56366e13 | + | 9.02780e12i | −0.0394582 | + | 0.0227812i | ||||
\(832\) | − | 8.46704e13i | − | 0.212381i | ||||||
\(833\) | 1.63344e13 | + | 1.55535e14i | 0.0407266 | + | 0.387797i | ||||
\(834\) | −4.60704e13 | −0.114181 | ||||||||
\(835\) | 1.53038e14 | + | 2.65070e14i | 0.377022 | + | 0.653022i | ||||
\(836\) | 1.21047e14 | + | 6.98864e13i | 0.296430 | + | 0.171144i | ||||
\(837\) | 1.69458e12 | − | 2.93511e12i | 0.00412511 | − | 0.00714491i | ||||
\(838\) | 1.70929e14 | − | 9.86857e13i | 0.413614 | − | 0.238800i | ||||
\(839\) | − | 7.26330e14i | − | 1.74713i | −0.486711 | − | 0.873563i | \(-0.661803\pi\) | ||
0.486711 | − | 0.873563i | \(-0.338197\pi\) | |||||||
\(840\) | 1.33926e13 | + | 6.82456e12i | 0.0320234 | + | 0.0163184i | ||||
\(841\) | 1.88231e14 | 0.447415 | ||||||||
\(842\) | −6.20350e13 | − | 1.07448e14i | −0.146580 | − | 0.253885i | ||||
\(843\) | −5.66520e13 | − | 3.27080e13i | −0.133069 | − | 0.0768275i | ||||
\(844\) | 1.16053e14 | − | 2.01010e14i | 0.270985 | − | 0.469360i | ||||
\(845\) | −3.47518e14 | + | 2.00640e14i | −0.806666 | + | 0.465729i | ||||
\(846\) | − | 4.92614e14i | − | 1.13672i | ||||||
\(847\) | 9.43495e12 | + | 1.80172e14i | 0.0216432 | + | 0.413306i | ||||
\(848\) | 1.61068e14 | 0.367307 | ||||||||
\(849\) | 6.28690e13 | + | 1.08892e14i | 0.142527 | + | 0.246865i | ||||
\(850\) | 8.01268e13 | + | 4.62612e13i | 0.180586 | + | 0.104261i | ||||
\(851\) | 1.50038e14 | − | 2.59874e14i | 0.336167 | − | 0.582258i | ||||
\(852\) | −1.46778e13 | + | 8.47423e12i | −0.0326936 | + | 0.0188757i | ||||
\(853\) | − | 3.51882e13i | − | 0.0779205i | −0.999241 | − | 0.0389602i | \(-0.987595\pi\) | ||
0.999241 | − | 0.0389602i | \(-0.0124046\pi\) | |||||||
\(854\) | 1.00397e14 | + | 1.54612e14i | 0.221020 | + | 0.340372i | ||||
\(855\) | −1.93146e14 | −0.422723 | ||||||||
\(856\) | −1.59351e14 | − | 2.76005e14i | −0.346726 | − | 0.600548i | ||||
\(857\) | −6.34616e14 | − | 3.66396e14i | −1.37280 | − | 0.792586i | −0.381520 | − | 0.924361i | \(-0.624599\pi\) |
−0.991280 | + | 0.131775i | \(0.957933\pi\) | |||||||
\(858\) | −4.40338e13 | + | 7.62688e13i | −0.0947000 | + | 0.164025i | ||||
\(859\) | 2.59169e14 | − | 1.49631e14i | 0.554138 | − | 0.319932i | −0.196651 | − | 0.980473i | \(-0.563007\pi\) |
0.750789 | + | 0.660542i | \(0.229673\pi\) | |||||||
\(860\) | 2.49999e13i | 0.0531429i | ||||||||
\(861\) | 2.24638e13 | − | 1.45869e13i | 0.0474753 | − | 0.0308280i | ||||
\(862\) | 1.73070e14 | 0.363651 | ||||||||
\(863\) | 1.79281e14 | + | 3.10524e14i | 0.374524 | + | 0.648695i | 0.990256 | − | 0.139261i | \(-0.0444727\pi\) |
−0.615731 | + | 0.787956i | \(0.711139\pi\) | |||||||
\(864\) | 2.97126e13 | + | 1.71546e13i | 0.0617124 | + | 0.0356297i | ||||
\(865\) | 1.61749e14 | − | 2.80158e14i | 0.334012 | − | 0.578526i | ||||
\(866\) | 1.13893e14 | − | 6.57561e13i | 0.233834 | − | 0.135004i | ||||
\(867\) | − | 8.55385e13i | − | 0.174609i | ||||||
\(868\) | −5.03527e12 | + | 2.63678e11i | −0.0102194 | + | 0.000535150i | ||||
\(869\) | −3.97462e14 | −0.802041 | ||||||||
\(870\) | −2.15520e13 | − | 3.73292e13i | −0.0432407 | − | 0.0748950i | ||||
\(871\) | −1.01058e15 | − | 5.83457e14i | −2.01595 | − | 1.16391i | ||||
\(872\) | −1.17307e13 | + | 2.03182e13i | −0.0232671 | + | 0.0402998i | ||||
\(873\) | 4.05996e14 | − | 2.34402e14i | 0.800665 | − | 0.462264i | ||||
\(874\) | − | 1.94160e14i | − | 0.380717i | ||||||
\(875\) | −2.01912e14 | + | 3.96235e14i | −0.393661 | + | 0.772525i | ||||
\(876\) | −8.27505e13 | −0.160417 | ||||||||
\(877\) | −8.95719e12 | − | 1.55143e13i | −0.0172653 | − | 0.0299044i | 0.857264 | − | 0.514878i | \(-0.172163\pi\) |
−0.874529 | + | 0.484973i | \(0.838829\pi\) | |||||||
\(878\) | 5.58438e14 | + | 3.22414e14i | 1.07029 | + | 0.617933i | ||||
\(879\) | −9.42441e13 | + | 1.63236e14i | −0.179601 | + | 0.311079i | ||||
\(880\) | −4.31845e13 | + | 2.49326e13i | −0.0818303 | + | 0.0472448i | ||||
\(881\) | 3.94925e14i | 0.744106i | 0.928211 | + | 0.372053i | \(0.121346\pi\) | ||||
−0.928211 | + | 0.372053i | \(0.878654\pi\) | |||||||
\(882\) | −3.59442e14 | + | 3.77488e13i | −0.673421 | + | 0.0707229i | ||||
\(883\) | 8.75542e13 | 0.163107 | 0.0815537 | − | 0.996669i | \(-0.474012\pi\) | ||||
0.0815537 | + | 0.996669i | \(0.474012\pi\) | |||||||
\(884\) | 8.94113e13 | + | 1.54865e14i | 0.165627 | + | 0.286874i | ||||
\(885\) | 1.60722e13 | + | 9.27929e12i | 0.0296046 | + | 0.0170922i | ||||
\(886\) | 4.76699e13 | − | 8.25667e13i | 0.0873124 | − | 0.151229i | ||||
\(887\) | 4.24571e14 | − | 2.45126e14i | 0.773271 | − | 0.446448i | −0.0607691 | − | 0.998152i | \(-0.519355\pi\) |
0.834040 | + | 0.551704i | \(0.186022\pi\) | |||||||
\(888\) | − | 4.48855e13i | − | 0.0812907i | ||||||
\(889\) | 6.95263e14 | + | 3.54291e14i | 1.25210 | + | 0.638044i | ||||
\(890\) | 3.44303e14 | 0.616582 | ||||||||
\(891\) | 1.88001e14 | + | 3.25627e14i | 0.334789 | + | 0.579872i | ||||
\(892\) | −4.42813e14 | − | 2.55658e14i | −0.784144 | − | 0.452726i | ||||
\(893\) | −4.26225e14 | + | 7.38243e14i | −0.750553 | + | 1.30000i | ||||
\(894\) | 6.81426e13 | − | 3.93421e13i | 0.119325 | − | 0.0688923i | ||||
\(895\) | 1.25232e14i | 0.218071i | ||||||||
\(896\) | −2.66926e12 | − | 5.09730e13i | −0.00462223 | − | 0.0882674i | ||||
\(897\) | 1.22336e14 | 0.210664 | ||||||||
\(898\) | 2.44983e14 | + | 4.24324e14i | 0.419522 | + | 0.726634i | ||||
\(899\) | 1.25220e13 | + | 7.22959e12i | 0.0213244 | + | 0.0123116i | ||||
\(900\) | −1.06910e14 | + | 1.85173e14i | −0.181053 | + | 0.313592i | ||||
\(901\) | −2.94598e14 | + | 1.70086e14i | −0.496142 | + | 0.286448i | ||||
\(902\) | 8.88557e13i | 0.148817i | ||||||||
\(903\) | 1.44958e13 | + | 2.23235e13i | 0.0241436 | + | 0.0371813i | ||||
\(904\) | 3.83649e13 | 0.0635466 | ||||||||
\(905\) | 2.51113e13 | + | 4.34940e13i | 0.0413643 | + | 0.0716451i | ||||
\(906\) | −1.10878e14 | − | 6.40153e13i | −0.181637 | − | 0.104868i | ||||
\(907\) | 3.70485e14 | − | 6.41698e14i | 0.603578 | − | 1.04543i | −0.388696 | − | 0.921366i | \(-0.627074\pi\) |
0.992274 | − | 0.124062i | \(-0.0395923\pi\) | |||||||
\(908\) | −2.04080e13 | + | 1.17826e13i | −0.0330652 | + | 0.0190902i | ||||
\(909\) | − | 1.30812e14i | − | 0.210779i | ||||||
\(910\) | −3.10418e14 | + | 2.01570e14i | −0.497440 | + | 0.323012i | ||||
\(911\) | −8.01864e14 | −1.27793 | −0.638967 | − | 0.769234i | \(-0.720638\pi\) | ||||
−0.638967 | + | 0.769234i | \(0.720638\pi\) | |||||||
\(912\) | −1.45212e13 | − | 2.51515e13i | −0.0230159 | − | 0.0398648i | ||||
\(913\) | 5.72262e14 | + | 3.30395e14i | 0.902071 | + | 0.520811i | ||||
\(914\) | −3.93032e14 | + | 6.80751e14i | −0.616164 | + | 1.06723i | ||||
\(915\) | −3.24073e13 | + | 1.87104e13i | −0.0505287 | + | 0.0291727i | ||||
\(916\) | − | 5.08496e14i | − | 0.788515i | ||||||
\(917\) | −1.42140e14 | + | 7.44335e12i | −0.219215 | + | 0.0114795i | ||||
\(918\) | −7.24605e13 | −0.111144 | ||||||||
\(919\) | 6.12901e14 | + | 1.06158e15i | 0.935003 | + | 1.61947i | 0.774629 | + | 0.632416i | \(0.217937\pi\) |
0.160374 | + | 0.987056i | \(0.448730\pi\) | |||||||
\(920\) | 5.99880e13 | + | 3.46341e13i | 0.0910175 | + | 0.0525490i | ||||
\(921\) | 9.84371e13 | − | 1.70498e14i | 0.148546 | − | 0.257289i | ||||
\(922\) | 1.04028e14 | − | 6.00609e13i | 0.156134 | − | 0.0901441i | ||||
\(923\) | − | 4.17333e14i | − | 0.622980i | ||||||
\(924\) | −2.41047e13 | + | 4.73033e13i | −0.0357884 | + | 0.0702314i | ||||
\(925\) | 5.71851e14 | 0.844450 | ||||||||
\(926\) | 1.48037e14 | + | 2.56408e14i | 0.217428 | + | 0.376597i | ||||
\(927\) | −2.52905e14 | − | 1.46015e14i | −0.369452 | − | 0.213303i | ||||
\(928\) | −7.31866e13 | + | 1.26763e14i | −0.106339 | + | 0.184184i | ||||
\(929\) | −8.49934e14 | + | 4.90709e14i | −1.22831 | + | 0.709163i | −0.966675 | − | 0.256006i | \(-0.917593\pi\) |
−0.261630 | + | 0.965168i | \(0.584260\pi\) | |||||||
\(930\) | − | 1.02350e12i | − | 0.00147121i | ||||||
\(931\) | 5.71331e14 | + | 2.54430e14i | 0.816844 | + | 0.363764i | ||||
\(932\) | −8.37090e13 | −0.119040 | ||||||||
\(933\) | −8.79617e13 | − | 1.52354e14i | −0.124419 | − | 0.215499i | ||||
\(934\) | −2.71617e14 | − | 1.56818e14i | −0.382140 | − | 0.220629i | ||||
\(935\) | 5.26572e13 | − | 9.12049e13i | 0.0736885 | − | 0.127632i | ||||
\(936\) | −3.57893e14 | + | 2.06630e14i | −0.498166 | + | 0.287616i | ||||
\(937\) | 3.57224e14i | 0.494588i | 0.968941 | + | 0.247294i | \(0.0795413\pi\) | ||||
−0.968941 | + | 0.247294i | \(0.920459\pi\) | |||||||
\(938\) | −6.26779e14 | − | 3.19392e14i | −0.863177 | − | 0.439856i | ||||
\(939\) | 1.16556e14 | 0.159664 | ||||||||
\(940\) | −1.52059e14 | − | 2.63374e14i | −0.207192 | − | 0.358868i | ||||
\(941\) | −8.63002e14 | − | 4.98255e14i | −1.16967 | − | 0.675310i | −0.216069 | − | 0.976378i | \(-0.569324\pi\) |
−0.953603 | + | 0.301068i | \(0.902657\pi\) | |||||||
\(942\) | −5.49933e13 | + | 9.52511e13i | −0.0741404 | + | 0.128415i | ||||
\(943\) | 1.06894e14 | − | 6.17152e13i | 0.143349 | − | 0.0827625i | ||||
\(944\) | − | 6.30213e13i | − | 0.0840673i | ||||||
\(945\) | −7.84296e12 | − | 1.49771e14i | −0.0104069 | − | 0.198733i | ||||
\(946\) | −8.83008e13 | −0.116549 | ||||||||
\(947\) | −4.89523e14 | − | 8.47879e14i | −0.642722 | − | 1.11323i | −0.984823 | − | 0.173564i | \(-0.944472\pi\) |
0.342100 | − | 0.939663i | \(-0.388862\pi\) | |||||||
\(948\) | 7.15215e13 | + | 4.12929e13i | 0.0934103 | + | 0.0539304i | ||||
\(949\) | 1.01881e15 | − | 1.76463e15i | 1.32362 | − | 2.29257i | ||||
\(950\) | 3.20435e14 | − | 1.85003e14i | 0.414116 | − | 0.239090i | ||||
\(951\) | 1.50358e14i | 0.193297i | ||||||||
\(952\) | 5.87093e13 | + | 9.04126e13i | 0.0750796 | + | 0.115623i | ||||
\(953\) | 1.20544e15 | 1.53349 | 0.766746 | − | 0.641951i | \(-0.221875\pi\) | ||||
0.766746 | + | 0.641951i | \(0.221875\pi\) | |||||||
\(954\) | −3.93070e14 | − | 6.80817e14i | −0.497425 | − | 0.861566i | ||||
\(955\) | 2.90747e14 | + | 1.67863e14i | 0.366014 | + | 0.211319i | ||||
\(956\) | −1.97103e14 | + | 3.41393e14i | −0.246834 | + | 0.427529i | ||||
\(957\) | 1.31849e14 | − | 7.61230e13i | 0.164254 | − | 0.0948323i | ||||
\(958\) | 2.80646e14i | 0.347801i | ||||||||
\(959\) | 2.94954e14 | − | 1.91528e14i | 0.363632 | − | 0.236124i | ||||
\(960\) | 1.03611e13 | 0.0127072 | ||||||||
\(961\) | −4.09642e14 | − | 7.09522e14i | −0.499791 | − | 0.865663i | ||||
\(962\) | 9.57169e14 | + | 5.52622e14i | 1.16175 | + | 0.670737i | ||||
\(963\) | −7.77762e14 | + | 1.34712e15i | −0.939107 | + | 1.62658i | ||||
\(964\) | 3.55330e14 | − | 2.05150e14i | 0.426822 | − | 0.246426i | ||||
\(965\) | − | 6.45349e14i | − | 0.771184i | ||||||
\(966\) | 7.36481e13 | − | 3.85667e12i | 0.0875540 | − | 0.00458487i | ||||
\(967\) | −6.75088e14 | −0.798414 | −0.399207 | − | 0.916861i | \(-0.630715\pi\) | ||||
−0.399207 | + | 0.916861i | \(0.630715\pi\) | |||||||
\(968\) | 6.21824e13 | + | 1.07703e14i | 0.0731629 | + | 0.126722i | ||||
\(969\) | 5.31195e13 | + | 3.06685e13i | 0.0621777 | + | 0.0358983i | ||||
\(970\) | 1.44710e14 | − | 2.50645e14i | 0.168515 | − | 0.291877i | ||||
\(971\) | 4.62603e14 | − | 2.67084e14i | 0.535936 | − | 0.309423i | −0.207494 | − | 0.978236i | \(-0.566531\pi\) |
0.743430 | + | 0.668814i | \(0.233198\pi\) | |||||||
\(972\) | − | 2.52998e14i | − | 0.291599i | ||||||
\(973\) | 3.10499e14 | − | 6.09326e14i | 0.356038 | − | 0.698691i | ||||
\(974\) | −9.26093e14 | −1.05648 | ||||||||
\(975\) | 1.16566e14 | + | 2.01899e14i | 0.132297 | + | 0.229145i | ||||
\(976\) | 1.10049e14 | + | 6.35368e13i | 0.124262 | + | 0.0717425i | ||||
\(977\) | −7.50055e13 | + | 1.29913e14i | −0.0842597 | + | 0.145942i | −0.905076 | − | 0.425251i | \(-0.860186\pi\) |
0.820816 | + | 0.571193i | \(0.193519\pi\) | |||||||
\(978\) | 1.74160e14 | − | 1.00552e14i | 0.194650 | − | 0.112381i | ||||
\(979\) | 1.21610e15i | 1.35224i | ||||||||
\(980\) | −1.80523e14 | + | 1.31134e14i | −0.199711 | + | 0.145073i | ||||
\(981\) | 1.14511e14 | 0.126038 | ||||||||
\(982\) | −2.31866e14 | − | 4.01604e14i | −0.253910 | − | 0.439786i | ||||
\(983\) | 4.86762e14 | + | 2.81032e14i | 0.530333 | + | 0.306188i | 0.741152 | − | 0.671337i | \(-0.234280\pi\) |
−0.210819 | + | 0.977525i | \(0.567613\pi\) | |||||||
\(984\) | 9.23135e12 | − | 1.59892e13i | 0.0100067 | − | 0.0173321i | ||||
\(985\) | 2.12790e14 | − | 1.22854e14i | 0.229493 | − | 0.132498i | ||||
\(986\) | − | 3.09138e14i | − | 0.331717i | ||||||
\(987\) | −2.88494e14 | − | 1.47010e14i | −0.308001 | − | 0.156950i | ||||
\(988\) | 7.15130e14 | 0.759626 | ||||||||
\(989\) | 6.13298e13 | + | 1.06226e14i | 0.0648171 | + | 0.112267i | ||||
\(990\) | 2.10775e14 | + | 1.21691e14i | 0.221637 | + | 0.127962i | ||||
\(991\) | 2.34375e14 | − | 4.05950e14i | 0.245213 | − | 0.424722i | −0.716978 | − | 0.697095i | \(-0.754475\pi\) |
0.962192 | + | 0.272374i | \(0.0878087\pi\) | |||||||
\(992\) | −3.00998e12 | + | 1.73781e12i | −0.00313332 | + | 0.00180902i | ||||
\(993\) | − | 7.41798e13i | − | 0.0768316i | ||||||
\(994\) | −1.31566e13 | − | 2.51241e14i | −0.0135585 | − | 0.258916i | ||||
\(995\) | −3.49978e14 | −0.358860 | ||||||||
\(996\) | −6.86506e13 | − | 1.18906e14i | −0.0700402 | − | 0.121313i | ||||
\(997\) | 4.22427e14 | + | 2.43889e14i | 0.428821 | + | 0.247580i | 0.698844 | − | 0.715274i | \(-0.253698\pi\) |
−0.270023 | + | 0.962854i | \(0.587031\pi\) | |||||||
\(998\) | −1.65333e13 | + | 2.86365e13i | −0.0166996 | + | 0.0289246i | ||||
\(999\) | −3.87853e14 | + | 2.23927e14i | −0.389798 | + | 0.225050i |
(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 | 14.11.d.a.3.2 | ✓ | 12 | |
3.2 | odd | 2 | 126.11.n.b.73.4 | 12 | |||
4.3 | odd | 2 | 112.11.s.a.17.4 | 12 | |||
7.2 | even | 3 | 98.11.d.a.19.2 | 12 | |||
7.3 | odd | 6 | 98.11.b.c.97.10 | 12 | |||
7.4 | even | 3 | 98.11.b.c.97.9 | 12 | |||
7.5 | odd | 6 | inner | 14.11.d.a.5.2 | yes | 12 | |
7.6 | odd | 2 | 98.11.d.a.31.2 | 12 | |||
21.5 | even | 6 | 126.11.n.b.19.4 | 12 | |||
28.19 | even | 6 | 112.11.s.a.33.4 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.11.d.a.3.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
14.11.d.a.5.2 | yes | 12 | 7.5 | odd | 6 | inner | |
98.11.b.c.97.9 | 12 | 7.4 | even | 3 | |||
98.11.b.c.97.10 | 12 | 7.3 | odd | 6 | |||
98.11.d.a.19.2 | 12 | 7.2 | even | 3 | |||
98.11.d.a.31.2 | 12 | 7.6 | odd | 2 | |||
112.11.s.a.17.4 | 12 | 4.3 | odd | 2 | |||
112.11.s.a.33.4 | 12 | 28.19 | even | 6 | |||
126.11.n.b.19.4 | 12 | 21.5 | even | 6 | |||
126.11.n.b.73.4 | 12 | 3.2 | odd | 2 |