Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 8.2 | ||
Character | \(\chi\) | \(=\) | 17.8 |
Dual form | 17.10.d.a.15.2 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −25.4395 | + | 25.4395i | −1.12428 | + | 1.12428i | −0.133188 | + | 0.991091i | \(0.542521\pi\) |
−0.991091 | + | 0.133188i | \(0.957479\pi\) | |||||||
\(3\) | −16.0088 | + | 38.6487i | −0.114107 | + | 0.275480i | −0.970608 | − | 0.240667i | \(-0.922634\pi\) |
0.856500 | + | 0.516146i | \(0.172634\pi\) | |||||||
\(4\) | − | 782.338i | − | 1.52800i | ||||||
\(5\) | 2220.20 | + | 919.637i | 1.58865 | + | 0.658038i | 0.989753 | − | 0.142791i | \(-0.0456076\pi\) |
0.598893 | + | 0.800829i | \(0.295608\pi\) | |||||||
\(6\) | −575.948 | − | 1390.46i | −0.181427 | − | 0.438004i | ||||
\(7\) | 8017.68 | − | 3321.03i | 1.26214 | − | 0.522795i | 0.351574 | − | 0.936160i | \(-0.385647\pi\) |
0.910566 | + | 0.413365i | \(0.135647\pi\) | |||||||
\(8\) | 6877.27 | + | 6877.27i | 0.593623 | + | 0.593623i | ||||
\(9\) | 12680.5 | + | 12680.5i | 0.644238 | + | 0.644238i | ||||
\(10\) | −79875.9 | + | 33085.7i | −2.52590 | + | 1.04626i | ||||
\(11\) | −24192.5 | − | 58405.8i | −0.498211 | − | 1.20279i | −0.950446 | − | 0.310889i | \(-0.899373\pi\) |
0.452235 | − | 0.891899i | \(-0.350627\pi\) | |||||||
\(12\) | 30236.3 | + | 12524.3i | 0.420934 | + | 0.174356i | ||||
\(13\) | 128302.i | 1.24591i | 0.782256 | + | 0.622957i | \(0.214069\pi\) | ||||
−0.782256 | + | 0.622957i | \(0.785931\pi\) | |||||||
\(14\) | −119480. | + | 288451.i | −0.831229 | + | 2.00676i | ||||
\(15\) | −71085.5 | + | 71085.5i | −0.362552 | + | 0.362552i | ||||
\(16\) | 50648.4 | 0.193208 | ||||||||
\(17\) | 332859. | − | 88277.9i | 0.966584 | − | 0.256349i | ||||
\(18\) | −645174. | −1.44861 | ||||||||
\(19\) | −194628. | + | 194628.i | −0.342622 | + | 0.342622i | −0.857352 | − | 0.514730i | \(-0.827892\pi\) |
0.514730 | + | 0.857352i | \(0.327892\pi\) | |||||||
\(20\) | 719467. | − | 1.73695e6i | 1.00549 | − | 2.42746i | ||||
\(21\) | 363039.i | 0.407348i | ||||||||
\(22\) | 2.10126e6 | + | 870371.i | 1.91240 | + | 0.792140i | ||||
\(23\) | −416449. | − | 1.00540e6i | −0.310304 | − | 0.749139i | −0.999694 | − | 0.0247488i | \(-0.992121\pi\) |
0.689390 | − | 0.724390i | \(-0.257879\pi\) | |||||||
\(24\) | −375894. | + | 155701.i | −0.231268 | + | 0.0957942i | ||||
\(25\) | 2.70249e6 | + | 2.70249e6i | 1.38367 | + | 1.38367i | ||||
\(26\) | −3.26394e6 | − | 3.26394e6i | −1.40076 | − | 1.40076i | ||||
\(27\) | −1.45381e6 | + | 602188.i | −0.526466 | + | 0.218069i | ||||
\(28\) | −2.59817e6 | − | 6.27253e6i | −0.798833 | − | 1.92855i | ||||
\(29\) | 1.32700e6 | + | 549662.i | 0.348402 | + | 0.144313i | 0.550020 | − | 0.835151i | \(-0.314620\pi\) |
−0.201618 | + | 0.979464i | \(0.564620\pi\) | |||||||
\(30\) | − | 3.61676e6i | − | 0.815219i | ||||||
\(31\) | −1.72229e6 | + | 4.15798e6i | −0.334949 | + | 0.808638i | 0.663236 | + | 0.748411i | \(0.269183\pi\) |
−0.998185 | + | 0.0602278i | \(0.980817\pi\) | |||||||
\(32\) | −4.80963e6 | + | 4.80963e6i | −0.810843 | + | 0.810843i | ||||
\(33\) | 2.64460e6 | 0.388193 | ||||||||
\(34\) | −6.22201e6 | + | 1.07135e7i | −0.798502 | + | 1.37492i | ||||
\(35\) | 2.08550e7 | 2.34911 | ||||||||
\(36\) | 9.92047e6 | − | 9.92047e6i | 0.984399 | − | 0.984399i | ||||
\(37\) | 1.03267e6 | − | 2.49309e6i | 0.0905846 | − | 0.218691i | −0.872094 | − | 0.489339i | \(-0.837238\pi\) |
0.962678 | + | 0.270648i | \(0.0872381\pi\) | |||||||
\(38\) | − | 9.90250e6i | − | 0.770404i | ||||||
\(39\) | −4.95871e6 | − | 2.05396e6i | −0.343224 | − | 0.142168i | ||||
\(40\) | 8.94432e6 | + | 2.15935e7i | 0.552430 | + | 1.33368i | ||||
\(41\) | −2.31653e7 | + | 9.59538e6i | −1.28030 | + | 0.530316i | −0.916079 | − | 0.400998i | \(-0.868664\pi\) |
−0.364218 | + | 0.931314i | \(0.618664\pi\) | |||||||
\(42\) | −9.23553e6 | − | 9.23553e6i | −0.457973 | − | 0.457973i | ||||
\(43\) | −3.40152e6 | − | 3.40152e6i | −0.151728 | − | 0.151728i | 0.627162 | − | 0.778889i | \(-0.284217\pi\) |
−0.778889 | + | 0.627162i | \(0.784217\pi\) | |||||||
\(44\) | −4.56931e7 | + | 1.89267e7i | −1.83786 | + | 0.761268i | ||||
\(45\) | 1.64918e7 | + | 3.98148e7i | 0.599533 | + | 1.44740i | ||||
\(46\) | 3.61711e7 | + | 1.49826e7i | 1.19111 | + | 0.493373i | ||||
\(47\) | − | 2.48324e7i | − | 0.742299i | −0.928573 | − | 0.371149i | \(-0.878964\pi\) | ||
0.928573 | − | 0.371149i | \(-0.121036\pi\) | |||||||
\(48\) | −810821. | + | 1.95750e6i | −0.0220465 | + | 0.0532249i | ||||
\(49\) | 2.47196e7 | − | 2.47196e7i | 0.612575 | − | 0.612575i | ||||
\(50\) | −1.37500e8 | −3.11127 | ||||||||
\(51\) | −1.91685e6 | + | 1.42778e7i | −0.0396754 | + | 0.295525i | ||||
\(52\) | 1.00376e8 | 1.90376 | ||||||||
\(53\) | 8.03580e6 | − | 8.03580e6i | 0.139890 | − | 0.139890i | −0.633694 | − | 0.773584i | \(-0.718462\pi\) |
0.773584 | + | 0.633694i | \(0.218462\pi\) | |||||||
\(54\) | 2.16648e7 | − | 5.23036e7i | 0.346724 | − | 0.837065i | ||||
\(55\) | − | 1.51921e8i | − | 2.23865i | ||||||
\(56\) | 7.79793e7 | + | 3.23001e7i | 1.05958 | + | 0.438892i | ||||
\(57\) | −4.40636e6 | − | 1.06379e7i | −0.0552896 | − | 0.133481i | ||||
\(58\) | −4.77414e7 | + | 1.97751e7i | −0.553948 | + | 0.229453i | ||||
\(59\) | 1.36917e7 | + | 1.36917e7i | 0.147104 | + | 0.147104i | 0.776823 | − | 0.629719i | \(-0.216830\pi\) |
−0.629719 | + | 0.776823i | \(0.716830\pi\) | |||||||
\(60\) | 5.56129e7 | + | 5.56129e7i | 0.553981 | + | 0.553981i | ||||
\(61\) | 6.35048e7 | − | 2.63045e7i | 0.587249 | − | 0.243246i | −0.0692177 | − | 0.997602i | \(-0.522050\pi\) |
0.656467 | + | 0.754355i | \(0.272050\pi\) | |||||||
\(62\) | −6.19627e7 | − | 1.49591e8i | −0.532559 | − | 1.28571i | ||||
\(63\) | 1.43781e8 | + | 5.95560e7i | 1.14992 | + | 0.476314i | ||||
\(64\) | − | 2.18777e8i | − | 1.63002i | ||||||
\(65\) | −1.17991e8 | + | 2.84856e8i | −0.819860 | + | 1.97932i | ||||
\(66\) | −6.72774e7 | + | 6.72774e7i | −0.436437 | + | 0.436437i | ||||
\(67\) | 1.24432e8 | 0.754391 | 0.377196 | − | 0.926134i | \(-0.376888\pi\) | ||||
0.377196 | + | 0.926134i | \(0.376888\pi\) | |||||||
\(68\) | −6.90632e7 | − | 2.60408e8i | −0.391703 | − | 1.47694i | ||||
\(69\) | 4.55242e7 | 0.241780 | ||||||||
\(70\) | −5.30541e8 | + | 5.30541e8i | −2.64106 | + | 2.64106i | ||||
\(71\) | 1.08431e7 | − | 2.61777e7i | 0.0506399 | − | 0.122256i | −0.896535 | − | 0.442973i | \(-0.853924\pi\) |
0.947175 | + | 0.320717i | \(0.103924\pi\) | |||||||
\(72\) | 1.74415e8i | 0.764870i | ||||||||
\(73\) | −1.31867e7 | − | 5.46211e6i | −0.0543479 | − | 0.0225116i | 0.355344 | − | 0.934736i | \(-0.384364\pi\) |
−0.409692 | + | 0.912224i | \(0.634364\pi\) | |||||||
\(74\) | 3.71523e7 | + | 8.96936e7i | 0.144027 | + | 0.347711i | ||||
\(75\) | −1.47711e8 | + | 6.11840e7i | −0.539061 | + | 0.223286i | ||||
\(76\) | 1.52265e8 | + | 1.52265e8i | 0.523527 | + | 0.523527i | ||||
\(77\) | −3.87935e8 | − | 3.87935e8i | −1.25762 | − | 1.25762i | ||||
\(78\) | 1.78399e8 | − | 7.38953e7i | 0.545716 | − | 0.226043i | ||||
\(79\) | 1.54131e8 | + | 3.72105e8i | 0.445213 | + | 1.07484i | 0.974094 | + | 0.226144i | \(0.0726119\pi\) |
−0.528881 | + | 0.848696i | \(0.677388\pi\) | |||||||
\(80\) | 1.12450e8 | + | 4.65781e7i | 0.306940 | + | 0.127139i | ||||
\(81\) | 2.87147e8i | 0.741177i | ||||||||
\(82\) | 3.45212e8 | − | 8.33416e8i | 0.843187 | − | 2.03563i | ||||
\(83\) | −1.29868e8 | + | 1.29868e8i | −0.300367 | + | 0.300367i | −0.841157 | − | 0.540790i | \(-0.818125\pi\) |
0.540790 | + | 0.841157i | \(0.318125\pi\) | |||||||
\(84\) | 2.84019e8 | 0.622430 | ||||||||
\(85\) | 8.20196e8 | + | 1.10114e8i | 1.70425 | + | 0.228802i | ||||
\(86\) | 1.73066e8 | 0.341168 | ||||||||
\(87\) | −4.24875e7 | + | 4.24875e7i | −0.0795104 | + | 0.0795104i | ||||
\(88\) | 2.35294e8 | − | 5.68050e8i | 0.418253 | − | 1.00975i | ||||
\(89\) | − | 9.42435e8i | − | 1.59219i | −0.605169 | − | 0.796097i | \(-0.706894\pi\) | ||
0.605169 | − | 0.796097i | \(-0.293106\pi\) | |||||||
\(90\) | −1.43241e9 | − | 5.93325e8i | −2.30132 | − | 0.953239i | ||||
\(91\) | 4.26095e8 | + | 1.02868e9i | 0.651359 | + | 1.57252i | ||||
\(92\) | −7.86560e8 | + | 3.25804e8i | −1.14469 | + | 0.474145i | ||||
\(93\) | −1.33129e8 | − | 1.33129e8i | −0.184543 | − | 0.184543i | ||||
\(94\) | 6.31725e8 | + | 6.31725e8i | 0.834551 | + | 0.834551i | ||||
\(95\) | −6.11101e8 | + | 2.53126e8i | −0.769763 | + | 0.318846i | ||||
\(96\) | −1.08890e8 | − | 2.62883e8i | −0.130848 | − | 0.315894i | ||||
\(97\) | −1.44243e9 | − | 5.97475e8i | −1.65433 | − | 0.685246i | −0.656708 | − | 0.754145i | \(-0.728051\pi\) |
−0.997624 | + | 0.0688989i | \(0.978051\pi\) | |||||||
\(98\) | 1.25771e9i | 1.37741i | ||||||||
\(99\) | 4.33844e8 | − | 1.04739e9i | 0.453915 | − | 1.09585i | ||||
\(100\) | 2.11426e9 | − | 2.11426e9i | 2.11426 | − | 2.11426i | ||||
\(101\) | 1.57983e9 | 1.51065 | 0.755325 | − | 0.655351i | \(-0.227479\pi\) | ||||
0.755325 | + | 0.655351i | \(0.227479\pi\) | |||||||
\(102\) | −3.14456e8 | − | 4.11983e8i | −0.287647 | − | 0.376859i | ||||
\(103\) | −4.17306e8 | −0.365331 | −0.182666 | − | 0.983175i | \(-0.558473\pi\) | ||||
−0.182666 | + | 0.983175i | \(0.558473\pi\) | |||||||
\(104\) | −8.82367e8 | + | 8.82367e8i | −0.739604 | + | 0.739604i | ||||
\(105\) | −3.33864e8 | + | 8.06018e8i | −0.268051 | + | 0.647132i | ||||
\(106\) | 4.08854e8i | 0.314551i | ||||||||
\(107\) | −2.45172e9 | − | 1.01553e9i | −1.80819 | − | 0.748975i | −0.982869 | − | 0.184305i | \(-0.940996\pi\) |
−0.825317 | − | 0.564670i | \(-0.809004\pi\) | |||||||
\(108\) | 4.71114e8 | + | 1.13737e9i | 0.333211 | + | 0.804442i | ||||
\(109\) | −8.72791e8 | + | 3.61522e8i | −0.592231 | + | 0.245310i | −0.658610 | − | 0.752485i | \(-0.728855\pi\) |
0.0663794 | + | 0.997794i | \(0.478855\pi\) | |||||||
\(110\) | 3.86479e9 | + | 3.86479e9i | 2.51686 | + | 2.51686i | ||||
\(111\) | 7.98228e7 | + | 7.98228e7i | 0.0499084 | + | 0.0499084i | ||||
\(112\) | 4.06083e8 | − | 1.68205e8i | 0.243856 | − | 0.101008i | ||||
\(113\) | −8.47315e8 | − | 2.04560e9i | −0.488869 | − | 1.18023i | −0.955290 | − | 0.295671i | \(-0.904457\pi\) |
0.466421 | − | 0.884563i | \(-0.345543\pi\) | |||||||
\(114\) | 3.82719e8 | + | 1.58527e8i | 0.212231 | + | 0.0879088i | ||||
\(115\) | − | 2.61516e9i | − | 1.39431i | ||||||
\(116\) | 4.30021e8 | − | 1.03816e9i | 0.220510 | − | 0.532359i | ||||
\(117\) | −1.62694e9 | + | 1.62694e9i | −0.802666 | + | 0.802666i | ||||
\(118\) | −6.96621e8 | −0.330771 | ||||||||
\(119\) | 2.37558e9 | − | 1.81322e9i | 1.08595 | − | 0.828874i | ||||
\(120\) | −9.77748e8 | −0.430439 | ||||||||
\(121\) | −1.15864e9 | + | 1.15864e9i | −0.491377 | + | 0.491377i | ||||
\(122\) | −9.46356e8 | + | 2.28471e9i | −0.386754 | + | 0.933708i | ||||
\(123\) | − | 1.04892e9i | − | 0.413208i | ||||||
\(124\) | 3.25294e9 | + | 1.34741e9i | 1.23560 | + | 0.511803i | ||||
\(125\) | 1.71859e9 | + | 4.14904e9i | 0.629617 | + | 1.52003i | ||||
\(126\) | −5.17280e9 | + | 2.14264e9i | −1.82834 | + | 0.757325i | ||||
\(127\) | 8.29816e8 | + | 8.29816e8i | 0.283051 | + | 0.283051i | 0.834325 | − | 0.551274i | \(-0.185858\pi\) |
−0.551274 | + | 0.834325i | \(0.685858\pi\) | |||||||
\(128\) | 3.10306e9 | + | 3.10306e9i | 1.02175 | + | 1.02175i | ||||
\(129\) | 1.85919e8 | − | 7.70100e7i | 0.0591111 | − | 0.0244846i | ||||
\(130\) | −4.24496e9 | − | 1.02482e10i | −1.30355 | − | 3.14705i | ||||
\(131\) | −6.29359e8 | − | 2.60689e8i | −0.186714 | − | 0.0773396i | 0.287368 | − | 0.957820i | \(-0.407220\pi\) |
−0.474082 | + | 0.880481i | \(0.657220\pi\) | |||||||
\(132\) | − | 2.06897e9i | − | 0.593160i | ||||||
\(133\) | −9.14101e8 | + | 2.20683e9i | −0.253315 | + | 0.611558i | ||||
\(134\) | −3.16550e9 | + | 3.16550e9i | −0.848146 | + | 0.848146i | ||||
\(135\) | −3.78154e9 | −0.979866 | ||||||||
\(136\) | 2.89627e9 | + | 1.68205e9i | 0.725962 | + | 0.421612i | ||||
\(137\) | 1.11614e9 | 0.270692 | 0.135346 | − | 0.990798i | \(-0.456785\pi\) | ||||
0.135346 | + | 0.990798i | \(0.456785\pi\) | |||||||
\(138\) | −1.15811e9 | + | 1.15811e9i | −0.271828 | + | 0.271828i | ||||
\(139\) | 1.50278e9 | − | 3.62802e9i | 0.341450 | − | 0.824334i | −0.656119 | − | 0.754657i | \(-0.727803\pi\) |
0.997570 | − | 0.0696769i | \(-0.0221968\pi\) | |||||||
\(140\) | − | 1.63156e10i | − | 3.58945i | ||||||
\(141\) | 9.59741e8 | + | 3.97538e8i | 0.204488 | + | 0.0847018i | ||||
\(142\) | 3.90103e8 | + | 9.41792e8i | 0.0805159 | + | 0.194383i | ||||
\(143\) | 7.49358e9 | − | 3.10394e9i | 1.49857 | − | 0.620728i | ||||
\(144\) | 6.42249e8 | + | 6.42249e8i | 0.124472 | + | 0.124472i | ||||
\(145\) | 2.44072e9 | + | 2.44072e9i | 0.458524 | + | 0.458524i | ||||
\(146\) | 4.74416e8 | − | 1.96510e8i | 0.0864116 | − | 0.0357928i | ||||
\(147\) | 5.59649e8 | + | 1.35111e9i | 0.0988525 | + | 0.238651i | ||||
\(148\) | −1.95044e9 | − | 8.07898e8i | −0.334160 | − | 0.138414i | ||||
\(149\) | 6.65964e9i | 1.10691i | 0.832879 | + | 0.553455i | \(0.186691\pi\) | ||||
−0.832879 | + | 0.553455i | \(0.813309\pi\) | |||||||
\(150\) | 2.20121e9 | − | 5.31419e9i | 0.355018 | − | 0.857090i | ||||
\(151\) | 5.38535e9 | − | 5.38535e9i | 0.842981 | − | 0.842981i | −0.146264 | − | 0.989246i | \(-0.546725\pi\) |
0.989246 | + | 0.146264i | \(0.0467250\pi\) | |||||||
\(152\) | −2.67702e9 | −0.406776 | ||||||||
\(153\) | 5.34024e9 | + | 3.10142e9i | 0.787861 | + | 0.457561i | ||||
\(154\) | 1.97378e10 | 2.82784 | ||||||||
\(155\) | −7.64766e9 | + | 7.64766e9i | −1.06423 | + | 1.06423i | ||||
\(156\) | −1.60689e9 | + | 3.87938e9i | −0.217233 | + | 0.524448i | ||||
\(157\) | 2.12735e9i | 0.279442i | 0.990191 | + | 0.139721i | \(0.0446205\pi\) | ||||
−0.990191 | + | 0.139721i | \(0.955380\pi\) | |||||||
\(158\) | −1.33872e10 | − | 5.54516e9i | −1.70896 | − | 0.707876i | ||||
\(159\) | 1.81930e8 | + | 4.39217e8i | 0.0225744 | + | 0.0544994i | ||||
\(160\) | −1.51015e10 | + | 6.25523e9i | −1.82171 | + | 0.754576i | ||||
\(161\) | −6.67791e9 | − | 6.67791e9i | −0.783293 | − | 0.783293i | ||||
\(162\) | −7.30488e9 | − | 7.30488e9i | −0.833289 | − | 0.833289i | ||||
\(163\) | −6.95765e9 | + | 2.88195e9i | −0.772002 | + | 0.319774i | −0.733683 | − | 0.679492i | \(-0.762200\pi\) |
−0.0383192 | + | 0.999266i | \(0.512200\pi\) | |||||||
\(164\) | 7.50683e9 | + | 1.81231e10i | 0.810325 | + | 1.95630i | ||||
\(165\) | 5.87154e9 | + | 2.43207e9i | 0.616701 | + | 0.255446i | ||||
\(166\) | − | 6.60758e9i | − | 0.675392i | ||||||
\(167\) | 7.41872e7 | − | 1.79104e8i | 0.00738082 | − | 0.0178189i | −0.920146 | − | 0.391575i | \(-0.871930\pi\) |
0.927527 | + | 0.373756i | \(0.121930\pi\) | |||||||
\(168\) | −2.49671e9 | + | 2.49671e9i | −0.241811 | + | 0.241811i | ||||
\(169\) | −5.85691e9 | −0.552304 | ||||||||
\(170\) | −2.36667e10 | + | 1.80641e10i | −2.17329 | + | 1.65881i | ||||
\(171\) | −4.93599e9 | −0.441460 | ||||||||
\(172\) | −2.66114e9 | + | 2.66114e9i | −0.231840 | + | 0.231840i | ||||
\(173\) | 6.55919e9 | − | 1.58353e10i | 0.556727 | − | 1.34406i | −0.355616 | − | 0.934632i | \(-0.615729\pi\) |
0.912343 | − | 0.409427i | \(-0.134271\pi\) | |||||||
\(174\) | − | 2.16172e9i | − | 0.178784i | ||||||
\(175\) | 3.06427e10 | + | 1.26926e10i | 2.46977 | + | 1.02301i | ||||
\(176\) | −1.22531e9 | − | 2.95816e9i | −0.0962585 | − | 0.232389i | ||||
\(177\) | −7.48355e8 | + | 3.09979e8i | −0.0573097 | + | 0.0237385i | ||||
\(178\) | 2.39751e10 | + | 2.39751e10i | 1.79007 | + | 1.79007i | ||||
\(179\) | 4.05731e9 | + | 4.05731e9i | 0.295392 | + | 0.295392i | 0.839206 | − | 0.543814i | \(-0.183020\pi\) |
−0.543814 | + | 0.839206i | \(0.683020\pi\) | |||||||
\(180\) | 3.11486e10 | − | 1.29022e10i | 2.21163 | − | 0.916088i | ||||
\(181\) | 2.28637e9 | + | 5.51980e9i | 0.158341 | + | 0.382269i | 0.983063 | − | 0.183270i | \(-0.0586682\pi\) |
−0.824722 | + | 0.565539i | \(0.808668\pi\) | |||||||
\(182\) | −3.70089e10 | − | 1.53296e10i | −2.50026 | − | 1.03564i | ||||
\(183\) | 2.87548e9i | 0.189531i | ||||||||
\(184\) | 4.05035e9 | − | 9.77842e9i | 0.260503 | − | 0.628910i | ||||
\(185\) | 4.58547e9 | − | 4.58547e9i | 0.287814 | − | 0.287814i | ||||
\(186\) | 6.77345e9 | 0.414956 | ||||||||
\(187\) | −1.32086e10 | − | 1.73052e10i | −0.789897 | − | 1.03488i | ||||
\(188\) | −1.94274e10 | −1.13424 | ||||||||
\(189\) | −9.65629e9 | + | 9.65629e9i | −0.550468 | + | 0.550468i | ||||
\(190\) | 9.10671e9 | − | 2.19855e10i | 0.506956 | − | 1.22390i | ||||
\(191\) | − | 3.20365e10i | − | 1.74179i | −0.491470 | − | 0.870895i | \(-0.663540\pi\) | ||
0.491470 | − | 0.870895i | \(-0.336460\pi\) | |||||||
\(192\) | 8.45546e9 | + | 3.50237e9i | 0.449037 | + | 0.185997i | ||||
\(193\) | −2.36263e9 | − | 5.70390e9i | −0.122571 | − | 0.295913i | 0.850670 | − | 0.525701i | \(-0.176197\pi\) |
−0.973241 | + | 0.229788i | \(0.926197\pi\) | |||||||
\(194\) | 5.18942e10 | − | 2.14953e10i | 2.63034 | − | 1.08952i | ||||
\(195\) | −9.12042e9 | − | 9.12042e9i | −0.451709 | − | 0.451709i | ||||
\(196\) | −1.93391e10 | − | 1.93391e10i | −0.936017 | − | 0.936017i | ||||
\(197\) | −4.75926e9 | + | 1.97135e9i | −0.225134 | + | 0.0932537i | −0.492399 | − | 0.870369i | \(-0.663880\pi\) |
0.267265 | + | 0.963623i | \(0.413880\pi\) | |||||||
\(198\) | 1.56084e10 | + | 3.76819e10i | 0.721712 | + | 1.74237i | ||||
\(199\) | 8.00902e9 | + | 3.31744e9i | 0.362027 | + | 0.149956i | 0.556280 | − | 0.830995i | \(-0.312228\pi\) |
−0.194253 | + | 0.980951i | \(0.562228\pi\) | |||||||
\(200\) | 3.71714e10i | 1.64276i | ||||||||
\(201\) | −1.99202e9 | + | 4.80915e9i | −0.0860816 | + | 0.207819i | ||||
\(202\) | −4.01901e10 | + | 4.01901e10i | −1.69839 | + | 1.69839i | ||||
\(203\) | 1.24649e10 | 0.515178 | ||||||||
\(204\) | 1.11700e10 | + | 1.49962e9i | 0.451564 | + | 0.0606241i | ||||
\(205\) | −6.02559e10 | −2.38291 | ||||||||
\(206\) | 1.06161e10 | − | 1.06161e10i | 0.410734 | − | 0.410734i | ||||
\(207\) | 7.46818e9 | − | 1.80298e10i | 0.282715 | − | 0.682534i | ||||
\(208\) | 6.49829e9i | 0.240721i | ||||||||
\(209\) | 1.60760e10 | + | 6.65888e9i | 0.582799 | + | 0.241403i | ||||
\(210\) | −1.20114e10 | − | 2.89980e10i | −0.426193 | − | 1.02892i | ||||
\(211\) | −3.39019e10 | + | 1.40426e10i | −1.17748 | + | 0.487728i | −0.883658 | − | 0.468133i | \(-0.844927\pi\) |
−0.293821 | + | 0.955861i | \(0.594927\pi\) | |||||||
\(212\) | −6.28671e9 | − | 6.28671e9i | −0.213753 | − | 0.213753i | ||||
\(213\) | 8.38147e8 | + | 8.38147e8i | 0.0279005 | + | 0.0279005i | ||||
\(214\) | 8.82051e10 | − | 3.65358e10i | 2.87496 | − | 1.19085i | ||||
\(215\) | −4.42389e9 | − | 1.06802e10i | −0.141199 | − | 0.340884i | ||||
\(216\) | −1.41396e10 | − | 5.85683e9i | −0.441974 | − | 0.183071i | ||||
\(217\) | 3.90571e10i | 1.19572i | ||||||||
\(218\) | 1.30064e10 | − | 3.14003e10i | 0.390035 | − | 0.941629i | ||||
\(219\) | 4.22207e8 | − | 4.22207e8i | 0.0124030 | − | 0.0124030i | ||||
\(220\) | −1.18853e11 | −3.42066 | ||||||||
\(221\) | 1.13262e10 | + | 4.27064e10i | 0.319389 | + | 1.20428i | ||||
\(222\) | −4.06131e9 | −0.112222 | ||||||||
\(223\) | 4.79087e10 | − | 4.79087e10i | 1.29731 | − | 1.29731i | 0.367139 | − | 0.930166i | \(-0.380337\pi\) |
0.930166 | − | 0.367139i | \(-0.119663\pi\) | |||||||
\(224\) | −2.25891e10 | + | 5.45350e10i | −0.599492 | + | 1.44730i | ||||
\(225\) | 6.85380e10i | 1.78283i | ||||||||
\(226\) | 7.35944e10 | + | 3.04838e10i | 1.87654 | + | 0.777286i | ||||
\(227\) | −1.12535e10 | − | 2.71683e10i | −0.281301 | − | 0.679120i | 0.718566 | − | 0.695459i | \(-0.244799\pi\) |
−0.999867 | + | 0.0163389i | \(0.994799\pi\) | |||||||
\(228\) | −8.32244e9 | + | 3.44727e9i | −0.203959 | + | 0.0844827i | ||||
\(229\) | −1.04601e10 | − | 1.04601e10i | −0.251348 | − | 0.251348i | 0.570175 | − | 0.821523i | \(-0.306875\pi\) |
−0.821523 | + | 0.570175i | \(0.806875\pi\) | |||||||
\(230\) | 6.65285e10 | + | 6.65285e10i | 1.56759 | + | 1.56759i | ||||
\(231\) | 2.12036e10 | − | 8.78280e9i | 0.489954 | − | 0.202945i | ||||
\(232\) | 5.34597e9 | + | 1.29063e10i | 0.121152 | + | 0.292487i | ||||
\(233\) | −4.04856e10 | − | 1.67697e10i | −0.899910 | − | 0.372755i | −0.115724 | − | 0.993281i | \(-0.536919\pi\) |
−0.784186 | + | 0.620526i | \(0.786919\pi\) | |||||||
\(234\) | − | 8.27771e10i | − | 1.80484i | ||||||
\(235\) | 2.28368e10 | − | 5.51329e10i | 0.488461 | − | 1.17925i | ||||
\(236\) | 1.07115e10 | − | 1.07115e10i | 0.224775 | − | 0.224775i | ||||
\(237\) | −1.68488e10 | −0.346899 | ||||||||
\(238\) | −1.43062e10 | + | 1.06561e11i | −0.289020 | + | 2.15279i | ||||
\(239\) | 2.88677e10 | 0.572297 | 0.286148 | − | 0.958185i | \(-0.407625\pi\) | ||||
0.286148 | + | 0.958185i | \(0.407625\pi\) | |||||||
\(240\) | −3.60037e9 | + | 3.60037e9i | −0.0700481 | + | 0.0700481i | ||||
\(241\) | −3.62014e10 | + | 8.73978e10i | −0.691271 | + | 1.66888i | 0.0509333 | + | 0.998702i | \(0.483780\pi\) |
−0.742204 | + | 0.670174i | \(0.766220\pi\) | |||||||
\(242\) | − | 5.89506e10i | − | 1.10489i | ||||||
\(243\) | −3.97132e10 | − | 1.64497e10i | −0.730645 | − | 0.302643i | ||||
\(244\) | −2.05790e10 | − | 4.96822e10i | −0.371681 | − | 0.897318i | ||||
\(245\) | 7.76155e10 | − | 3.21494e10i | 1.37626 | − | 0.570067i | ||||
\(246\) | 2.66840e10 | + | 2.66840e10i | 0.464561 | + | 0.464561i | ||||
\(247\) | −2.49712e10 | − | 2.49712e10i | −0.426878 | − | 0.426878i | ||||
\(248\) | −4.04402e10 | + | 1.67509e10i | −0.678860 | + | 0.281193i | ||||
\(249\) | −2.94021e9 | − | 7.09828e9i | −0.0484709 | − | 0.117019i | ||||
\(250\) | −1.49270e11 | − | 6.18295e10i | −2.41680 | − | 1.00107i | ||||
\(251\) | 8.95192e10i | 1.42359i | 0.702388 | + | 0.711794i | \(0.252117\pi\) | ||||
−0.702388 | + | 0.711794i | \(0.747883\pi\) | |||||||
\(252\) | 4.65929e10 | − | 1.12485e11i | 0.727809 | − | 1.75709i | ||||
\(253\) | −4.86461e10 | + | 4.86461e10i | −0.746459 | + | 0.746459i | ||||
\(254\) | −4.22202e10 | −0.636456 | ||||||||
\(255\) | −1.73862e10 | + | 2.99367e10i | −0.257497 | + | 0.443377i | ||||
\(256\) | −4.58666e10 | −0.667447 | ||||||||
\(257\) | 4.30100e10 | − | 4.30100e10i | 0.614993 | − | 0.614993i | −0.329249 | − | 0.944243i | \(-0.606796\pi\) |
0.944243 | + | 0.329249i | \(0.106796\pi\) | |||||||
\(258\) | −2.77058e9 | + | 6.68877e9i | −0.0389298 | + | 0.0939849i | ||||
\(259\) | − | 2.34183e10i | − | 0.323375i | ||||||
\(260\) | 2.22854e11 | + | 9.23090e10i | 3.02440 | + | 1.25275i | ||||
\(261\) | 9.85709e9 | + | 2.37971e10i | 0.131482 | + | 0.317426i | ||||
\(262\) | 2.26424e10 | − | 9.37878e9i | 0.296870 | − | 0.122968i | ||||
\(263\) | −2.65696e10 | − | 2.65696e10i | −0.342440 | − | 0.342440i | 0.514844 | − | 0.857284i | \(-0.327850\pi\) |
−0.857284 | + | 0.514844i | \(0.827850\pi\) | |||||||
\(264\) | 1.81876e10 | + | 1.81876e10i | 0.230440 | + | 0.230440i | ||||
\(265\) | 2.52311e10 | − | 1.04511e10i | 0.314289 | − | 0.130183i | ||||
\(266\) | −3.28865e10 | − | 7.93951e10i | −0.402764 | − | 0.972358i | ||||
\(267\) | 3.64239e10 | + | 1.50873e10i | 0.438617 | + | 0.181681i | ||||
\(268\) | − | 9.73482e10i | − | 1.15271i | ||||||
\(269\) | 6.66220e8 | − | 1.60840e9i | 0.00775769 | − | 0.0187287i | −0.919953 | − | 0.392028i | \(-0.871774\pi\) |
0.927711 | + | 0.373299i | \(0.121774\pi\) | |||||||
\(270\) | 9.62006e10 | − | 9.62006e10i | 1.10164 | − | 1.10164i | ||||
\(271\) | −2.05714e10 | −0.231687 | −0.115844 | − | 0.993267i | \(-0.536957\pi\) | ||||
−0.115844 | + | 0.993267i | \(0.536957\pi\) | |||||||
\(272\) | 1.68588e10 | − | 4.47114e9i | 0.186752 | − | 0.0495288i | ||||
\(273\) | −4.65786e10 | −0.507522 | ||||||||
\(274\) | −2.83940e10 | + | 2.83940e10i | −0.304333 | + | 0.304333i | ||||
\(275\) | 9.24611e10 | − | 2.23221e11i | 0.974904 | − | 2.35363i | ||||
\(276\) | − | 3.56153e10i | − | 0.369441i | ||||||
\(277\) | 1.60675e10 | + | 6.65536e9i | 0.163979 | + | 0.0679223i | 0.463163 | − | 0.886273i | \(-0.346714\pi\) |
−0.299184 | + | 0.954195i | \(0.596714\pi\) | |||||||
\(278\) | 5.40652e10 | + | 1.30525e11i | 0.542896 | + | 1.31067i | ||||
\(279\) | −7.45650e10 | + | 3.08858e10i | −0.736743 | + | 0.305169i | ||||
\(280\) | 1.43425e11 | + | 1.43425e11i | 1.39449 | + | 1.39449i | ||||
\(281\) | −5.14428e10 | − | 5.14428e10i | −0.492205 | − | 0.492205i | 0.416795 | − | 0.909000i | \(-0.363153\pi\) |
−0.909000 | + | 0.416795i | \(0.863153\pi\) | |||||||
\(282\) | −3.45285e10 | + | 1.43022e10i | −0.325130 | + | 0.134673i | ||||
\(283\) | 2.16511e10 | + | 5.22703e10i | 0.200650 | + | 0.484413i | 0.991891 | − | 0.127092i | \(-0.0405644\pi\) |
−0.791241 | + | 0.611505i | \(0.790564\pi\) | |||||||
\(284\) | −2.04798e10 | − | 8.48300e9i | −0.186807 | − | 0.0773779i | ||||
\(285\) | − | 2.76705e10i | − | 0.248437i | ||||||
\(286\) | −1.11670e11 | + | 2.69596e11i | −0.986939 | + | 2.38268i | ||||
\(287\) | −1.53865e11 | + | 1.53865e11i | −1.33867 | + | 1.33867i | ||||
\(288\) | −1.21977e11 | −1.04475 | ||||||||
\(289\) | 1.03002e11 | − | 5.87682e10i | 0.868570 | − | 0.495566i | ||||
\(290\) | −1.24181e11 | −1.03102 | ||||||||
\(291\) | 4.61833e10 | − | 4.61833e10i | 0.377543 | − | 0.377543i | ||||
\(292\) | −4.27321e9 | + | 1.03164e10i | −0.0343979 | + | 0.0830438i | ||||
\(293\) | − | 5.94960e10i | − | 0.471611i | −0.971800 | − | 0.235805i | \(-0.924227\pi\) | ||
0.971800 | − | 0.235805i | \(-0.0757728\pi\) | |||||||
\(294\) | −4.86089e10 | − | 2.01344e10i | −0.379448 | − | 0.157173i | ||||
\(295\) | 1.78069e10 | + | 4.29897e10i | 0.136896 | + | 0.330496i | ||||
\(296\) | 2.42476e10 | − | 1.00437e10i | 0.183593 | − | 0.0760467i | ||||
\(297\) | 7.03425e10 | + | 7.03425e10i | 0.524583 | + | 0.524583i | ||||
\(298\) | −1.69418e11 | − | 1.69418e11i | −1.24447 | − | 1.24447i | ||||
\(299\) | 1.28995e11 | − | 5.34313e10i | 0.933364 | − | 0.386612i | ||||
\(300\) | 4.78665e10 | + | 1.15560e11i | 0.341182 | + | 0.823687i | ||||
\(301\) | −3.85688e10 | − | 1.59757e10i | −0.270824 | − | 0.112179i | ||||
\(302\) | 2.74002e11i | 1.89549i | ||||||||
\(303\) | −2.52912e10 | + | 6.10583e10i | −0.172376 | + | 0.416153i | ||||
\(304\) | −9.85762e9 | + | 9.85762e9i | −0.0661974 | + | 0.0661974i | ||||
\(305\) | 1.65184e11 | 1.09300 | ||||||||
\(306\) | −2.14752e11 | + | 5.69546e10i | −1.40020 | + | 0.371349i | ||||
\(307\) | 2.66497e11 | 1.71226 | 0.856130 | − | 0.516761i | \(-0.172862\pi\) | ||||
0.856130 | + | 0.516761i | \(0.172862\pi\) | |||||||
\(308\) | −3.03496e11 | + | 3.03496e11i | −1.92165 | + | 1.92165i | ||||
\(309\) | 6.68057e9 | − | 1.61283e10i | 0.0416870 | − | 0.100641i | ||||
\(310\) | − | 3.89105e11i | − | 2.39298i | ||||||
\(311\) | −3.00978e11 | − | 1.24669e11i | −1.82437 | − | 0.755679i | −0.972880 | − | 0.231312i | \(-0.925698\pi\) |
−0.851492 | − | 0.524368i | \(-0.824302\pi\) | |||||||
\(312\) | −1.99767e10 | − | 4.82280e10i | −0.119351 | − | 0.288140i | ||||
\(313\) | −1.21629e11 | + | 5.03803e10i | −0.716287 | + | 0.296696i | −0.710903 | − | 0.703290i | \(-0.751714\pi\) |
−0.00538360 | + | 0.999986i | \(0.501714\pi\) | |||||||
\(314\) | −5.41188e10 | − | 5.41188e10i | −0.314170 | − | 0.314170i | ||||
\(315\) | 2.64453e11 | + | 2.64453e11i | 1.51339 | + | 1.51339i | ||||
\(316\) | 2.91112e11 | − | 1.20583e11i | 1.64236 | − | 0.680288i | ||||
\(317\) | 2.27455e10 | + | 5.49124e10i | 0.126511 | + | 0.305425i | 0.974426 | − | 0.224707i | \(-0.0721425\pi\) |
−0.847915 | + | 0.530132i | \(0.822143\pi\) | |||||||
\(318\) | −1.58017e10 | − | 6.54526e9i | −0.0866524 | − | 0.0358926i | ||||
\(319\) | − | 9.08023e10i | − | 0.490952i | ||||||
\(320\) | 2.01196e11 | − | 4.85729e11i | 1.07261 | − | 2.58952i | ||||
\(321\) | 7.84981e10 | − | 7.84981e10i | 0.412655 | − | 0.412655i | ||||
\(322\) | 3.39766e11 | 1.76128 | ||||||||
\(323\) | −4.76023e10 | + | 8.19651e10i | −0.243342 | + | 0.419004i | ||||
\(324\) | 2.24646e11 | 1.13252 | ||||||||
\(325\) | −3.46734e11 | + | 3.46734e11i | −1.72394 | + | 1.72394i | ||||
\(326\) | 1.03684e11 | − | 2.50315e11i | 0.508431 | − | 1.22746i | ||||
\(327\) | − | 3.95198e10i | − | 0.191139i | ||||||
\(328\) | −2.25304e11 | − | 9.33239e10i | −1.07482 | − | 0.445206i | ||||
\(329\) | −8.24693e10 | − | 1.99098e11i | −0.388070 | − | 0.936885i | ||||
\(330\) | −2.11240e11 | + | 8.74985e10i | −0.980536 | + | 0.406151i | ||||
\(331\) | −1.10413e11 | − | 1.10413e11i | −0.505586 | − | 0.505586i | 0.407582 | − | 0.913169i | \(-0.366372\pi\) |
−0.913169 | + | 0.407582i | \(0.866372\pi\) | |||||||
\(332\) | 1.01601e11 | + | 1.01601e11i | 0.458962 | + | 0.458962i | ||||
\(333\) | 4.47086e10 | − | 1.85189e10i | 0.199247 | − | 0.0825308i | ||||
\(334\) | 2.66903e9 | + | 6.44360e9i | 0.0117353 | + | 0.0283315i | ||||
\(335\) | 2.76265e11 | + | 1.14433e11i | 1.19846 | + | 0.496419i | ||||
\(336\) | 1.83873e10i | 0.0787031i | ||||||||
\(337\) | 1.09881e10 | − | 2.65276e10i | 0.0464075 | − | 0.112038i | −0.898976 | − | 0.437998i | \(-0.855688\pi\) |
0.945383 | + | 0.325961i | \(0.105688\pi\) | |||||||
\(338\) | 1.48997e11 | − | 1.48997e11i | 0.620943 | − | 0.620943i | ||||
\(339\) | 9.26243e10 | 0.380914 | ||||||||
\(340\) | 8.61467e10 | − | 6.41671e11i | 0.349610 | − | 2.60410i | ||||
\(341\) | 2.84516e11 | 1.13950 | ||||||||
\(342\) | 1.25569e11 | − | 1.25569e11i | 0.496324 | − | 0.496324i | ||||
\(343\) | −1.79163e10 | + | 4.32538e10i | −0.0698916 | + | 0.168733i | ||||
\(344\) | − | 4.67863e10i | − | 0.180138i | ||||||
\(345\) | 1.01073e11 | + | 4.18657e10i | 0.384103 | + | 0.159101i | ||||
\(346\) | 2.35979e11 | + | 5.69704e11i | 0.885180 | + | 2.13701i | ||||
\(347\) | −4.94048e11 | + | 2.04641e11i | −1.82931 | + | 0.757724i | −0.860706 | + | 0.509102i | \(0.829978\pi\) |
−0.968601 | + | 0.248622i | \(0.920022\pi\) | |||||||
\(348\) | 3.32395e10 | + | 3.32395e10i | 0.121492 | + | 0.121492i | ||||
\(349\) | 6.66635e9 | + | 6.66635e9i | 0.0240533 | + | 0.0240533i | 0.719031 | − | 0.694978i | \(-0.244586\pi\) |
−0.694978 | + | 0.719031i | \(0.744586\pi\) | |||||||
\(350\) | −1.10243e12 | + | 4.56641e11i | −3.92685 | + | 1.62656i | ||||
\(351\) | −7.72619e10 | − | 1.86527e11i | −0.271696 | − | 0.655932i | ||||
\(352\) | 3.97267e11 | + | 1.64553e11i | 1.37924 | + | 0.571301i | ||||
\(353\) | − | 1.66113e11i | − | 0.569400i | −0.958617 | − | 0.284700i | \(-0.908106\pi\) | ||
0.958617 | − | 0.284700i | \(-0.0918940\pi\) | |||||||
\(354\) | 1.11521e10 | − | 2.69235e10i | 0.0377434 | − | 0.0911207i | ||||
\(355\) | 4.81479e10 | − | 4.81479e10i | 0.160898 | − | 0.160898i | ||||
\(356\) | −7.37302e11 | −2.43288 | ||||||||
\(357\) | 3.20483e10 | + | 1.20841e11i | 0.104423 | + | 0.393737i | ||||
\(358\) | −2.06432e11 | −0.664206 | ||||||||
\(359\) | −3.18971e11 | + | 3.18971e11i | −1.01351 | + | 1.01351i | −0.0135986 | + | 0.999908i | \(0.504329\pi\) |
−0.999908 | + | 0.0135986i | \(0.995671\pi\) | |||||||
\(360\) | −1.60398e11 | + | 3.87236e11i | −0.503314 | + | 1.21511i | ||||
\(361\) | 2.46927e11i | 0.765221i | ||||||||
\(362\) | −1.98585e11 | − | 8.22567e10i | −0.607797 | − | 0.251758i | ||||
\(363\) | −2.62315e10 | − | 6.33285e10i | −0.0792946 | − | 0.191434i | ||||
\(364\) | 8.04779e11 | − | 3.33350e11i | 2.40281 | − | 0.995278i | ||||
\(365\) | −2.42539e10 | − | 2.42539e10i | −0.0715261 | − | 0.0715261i | ||||
\(366\) | −7.31509e10 | − | 7.31509e10i | −0.213086 | − | 0.213086i | ||||
\(367\) | 3.38178e11 | − | 1.40078e11i | 0.973078 | − | 0.403062i | 0.161221 | − | 0.986918i | \(-0.448457\pi\) |
0.811857 | + | 0.583856i | \(0.198457\pi\) | |||||||
\(368\) | −2.10925e10 | − | 5.09218e10i | −0.0599533 | − | 0.144740i | ||||
\(369\) | −4.15423e11 | − | 1.72074e11i | −1.16647 | − | 0.483166i | ||||
\(370\) | 2.33304e11i | 0.647165i | ||||||||
\(371\) | 3.77413e10 | − | 9.11156e10i | 0.103427 | − | 0.249695i | ||||
\(372\) | −1.04152e11 | + | 1.04152e11i | −0.281983 | + | 0.281983i | ||||
\(373\) | 5.22724e11 | 1.39824 | 0.699122 | − | 0.715002i | \(-0.253574\pi\) | ||||
0.699122 | + | 0.715002i | \(0.253574\pi\) | |||||||
\(374\) | 7.76257e11 | + | 1.04215e11i | 2.05156 | + | 0.275429i | ||||
\(375\) | −1.87867e11 | −0.490581 | ||||||||
\(376\) | 1.70779e11 | − | 1.70779e11i | 0.440646 | − | 0.440646i | ||||
\(377\) | −7.05227e10 | + | 1.70257e11i | −0.179801 | + | 0.434079i | ||||
\(378\) | − | 4.91303e11i | − | 1.23776i | ||||||
\(379\) | 1.94403e11 | + | 8.05243e10i | 0.483979 | + | 0.200471i | 0.611312 | − | 0.791389i | \(-0.290642\pi\) |
−0.127334 | + | 0.991860i | \(0.540642\pi\) | |||||||
\(380\) | 1.98030e11 | + | 4.78088e11i | 0.487198 | + | 1.17620i | ||||
\(381\) | −4.53557e10 | + | 1.87869e10i | −0.110273 | + | 0.0456766i | ||||
\(382\) | 8.14994e11 | + | 8.14994e11i | 1.95826 | + | 1.95826i | ||||
\(383\) | −1.96221e11 | − | 1.96221e11i | −0.465963 | − | 0.465963i | 0.434641 | − | 0.900604i | \(-0.356875\pi\) |
−0.900604 | + | 0.434641i | \(0.856875\pi\) | |||||||
\(384\) | −1.69606e11 | + | 7.02529e10i | −0.398061 | + | 0.164882i | ||||
\(385\) | −5.04534e11 | − | 1.21805e12i | −1.17035 | − | 2.82548i | ||||
\(386\) | 2.05209e11 | + | 8.50002e10i | 0.470492 | + | 0.194884i | ||||
\(387\) | − | 8.62662e10i | − | 0.195498i | ||||||
\(388\) | −4.67427e11 | + | 1.12847e12i | −1.04706 | + | 2.52782i | ||||
\(389\) | 2.06614e11 | − | 2.06614e11i | 0.457496 | − | 0.457496i | −0.440337 | − | 0.897833i | \(-0.645141\pi\) |
0.897833 | + | 0.440337i | \(0.145141\pi\) | |||||||
\(390\) | 4.64038e11 | 1.01569 | ||||||||
\(391\) | −2.27373e11 | − | 2.97892e11i | −0.491976 | − | 0.644560i | ||||
\(392\) | 3.40007e11 | 0.727277 | ||||||||
\(393\) | 2.01506e10 | − | 2.01506e10i | 0.0426109 | − | 0.0426109i | ||||
\(394\) | 7.09231e10 | − | 1.71224e11i | 0.148271 | − | 0.357957i | ||||
\(395\) | 9.67892e11i | 2.00051i | ||||||||
\(396\) | −8.19414e11 | − | 3.39412e11i | −1.67446 | − | 0.693584i | ||||
\(397\) | −2.36816e11 | − | 5.71724e11i | −0.478469 | − | 1.15513i | −0.960327 | − | 0.278877i | \(-0.910038\pi\) |
0.481858 | − | 0.876249i | \(-0.339962\pi\) | |||||||
\(398\) | −2.88140e11 | + | 1.19351e11i | −0.575611 | + | 0.238426i | ||||
\(399\) | −7.06576e10 | − | 7.06576e10i | −0.139566 | − | 0.139566i | ||||
\(400\) | 1.36877e11 | + | 1.36877e11i | 0.267337 | + | 0.267337i | ||||
\(401\) | 2.26489e11 | − | 9.38150e10i | 0.437420 | − | 0.181185i | −0.153096 | − | 0.988211i | \(-0.548924\pi\) |
0.590516 | + | 0.807026i | \(0.298924\pi\) | |||||||
\(402\) | −7.16665e10 | − | 1.73018e11i | −0.136867 | − | 0.330427i | ||||
\(403\) | −5.33477e11 | − | 2.20973e11i | −1.00749 | − | 0.417318i | ||||
\(404\) | − | 1.23596e12i | − | 2.30828i | ||||||
\(405\) | −2.64071e11 | + | 6.37524e11i | −0.487723 | + | 1.17747i | ||||
\(406\) | −3.17101e11 | + | 3.17101e11i | −0.579203 | + | 0.579203i | ||||
\(407\) | −1.70594e11 | −0.308169 | ||||||||
\(408\) | −1.11375e11 | + | 8.50094e10i | −0.198983 | + | 0.151879i | ||||
\(409\) | −6.50288e11 | −1.14908 | −0.574540 | − | 0.818476i | \(-0.694819\pi\) | ||||
−0.574540 | + | 0.818476i | \(0.694819\pi\) | |||||||
\(410\) | 1.53288e12 | − | 1.53288e12i | 2.67905 | − | 2.67905i | ||||
\(411\) | −1.78681e10 | + | 4.31373e10i | −0.0308880 | + | 0.0745701i | ||||
\(412\) | 3.26474e11i | 0.558228i | ||||||||
\(413\) | 1.55246e11 | + | 6.43052e10i | 0.262571 | + | 0.108760i | ||||
\(414\) | 2.68682e11 | + | 6.48656e11i | 0.449508 | + | 1.08521i | ||||
\(415\) | −4.07766e11 | + | 1.68902e11i | −0.674829 | + | 0.279524i | ||||
\(416\) | −6.17085e11 | − | 6.17085e11i | −1.01024 | − | 1.01024i | ||||
\(417\) | 1.16161e11 | + | 1.16161e11i | 0.188125 | + | 0.188125i | ||||
\(418\) | −5.78364e11 | + | 2.39566e11i | −0.926633 | + | 0.383824i | ||||
\(419\) | 1.02806e11 | + | 2.48195e11i | 0.162950 | + | 0.393396i | 0.984173 | − | 0.177212i | \(-0.0567077\pi\) |
−0.821223 | + | 0.570608i | \(0.806708\pi\) | |||||||
\(420\) | 6.30579e11 | + | 2.61194e11i | 0.988820 | + | 0.409583i | ||||
\(421\) | − | 4.71249e11i | − | 0.731107i | −0.930790 | − | 0.365554i | \(-0.880880\pi\) | ||
0.930790 | − | 0.365554i | \(-0.119120\pi\) | |||||||
\(422\) | 5.05210e11 | − | 1.21969e12i | 0.775472 | − | 1.87216i | ||||
\(423\) | 3.14889e11 | − | 3.14889e11i | 0.478217 | − | 0.478217i | ||||
\(424\) | 1.10529e11 | 0.166084 | ||||||||
\(425\) | 1.13812e12 | + | 6.60976e11i | 1.69214 | + | 0.982733i | ||||
\(426\) | −4.26441e10 | −0.0627359 | ||||||||
\(427\) | 4.21803e11 | − | 4.21803e11i | 0.614022 | − | 0.614022i | ||||
\(428\) | −7.94491e11 | + | 1.91807e12i | −1.14444 | + | 2.76291i | ||||
\(429\) | 3.39308e11i | 0.483655i | ||||||||
\(430\) | 3.84241e11 | + | 1.59158e11i | 0.541995 | + | 0.224502i | ||||
\(431\) | 2.20551e11 | + | 5.32457e11i | 0.307865 | + | 0.743253i | 0.999774 | + | 0.0212676i | \(0.00677019\pi\) |
−0.691908 | + | 0.721985i | \(0.743230\pi\) | |||||||
\(432\) | −7.36331e10 | + | 3.04998e10i | −0.101718 | + | 0.0421328i | ||||
\(433\) | −5.98239e11 | − | 5.98239e11i | −0.817860 | − | 0.817860i | 0.167938 | − | 0.985798i | \(-0.446289\pi\) |
−0.985798 | + | 0.167938i | \(0.946289\pi\) | |||||||
\(434\) | −9.93594e11 | − | 9.93594e11i | −1.34433 | − | 1.34433i | ||||
\(435\) | −1.33404e11 | + | 5.52576e10i | −0.178635 | + | 0.0739930i | ||||
\(436\) | 2.82832e11 | + | 6.82817e11i | 0.374834 | + | 0.904930i | ||||
\(437\) | 2.76732e11 | + | 1.14626e11i | 0.362988 | + | 0.150355i | ||||
\(438\) | 2.14815e10i | 0.0278888i | ||||||||
\(439\) | −1.39825e11 | + | 3.37568e11i | −0.179678 | + | 0.433782i | −0.987899 | − | 0.155098i | \(-0.950431\pi\) |
0.808221 | + | 0.588879i | \(0.200431\pi\) | |||||||
\(440\) | 1.04480e12 | − | 1.04480e12i | 1.32891 | − | 1.32891i | ||||
\(441\) | 6.26916e11 | 0.789289 | ||||||||
\(442\) | −1.37457e12 | − | 7.98297e11i | −1.71303 | − | 0.994865i | ||||
\(443\) | 1.17669e12 | 1.45159 | 0.725795 | − | 0.687911i | \(-0.241472\pi\) | ||||
0.725795 | + | 0.687911i | \(0.241472\pi\) | |||||||
\(444\) | 6.24484e10 | − | 6.24484e10i | 0.0762602 | − | 0.0762602i | ||||
\(445\) | 8.66698e11 | − | 2.09239e12i | 1.04773 | − | 2.52943i | ||||
\(446\) | 2.43755e12i | 2.91706i | ||||||||
\(447\) | −2.57386e11 | − | 1.06613e11i | −0.304931 | − | 0.126307i | ||||
\(448\) | −7.26566e11 | − | 1.75409e12i | −0.852166 | − | 2.05731i | ||||
\(449\) | 6.14946e11 | − | 2.54719e11i | 0.714049 | − | 0.295769i | 0.00407025 | − | 0.999992i | \(-0.498704\pi\) |
0.709979 | + | 0.704223i | \(0.248704\pi\) | |||||||
\(450\) | −1.74357e12 | − | 1.74357e12i | −2.00440 | − | 2.00440i | ||||
\(451\) | 1.12085e12 | + | 1.12085e12i | 1.27572 | + | 1.27572i | ||||
\(452\) | −1.60035e12 | + | 6.62887e11i | −1.80340 | + | 0.746993i | ||||
\(453\) | 1.21924e11 | + | 2.94350e11i | 0.136034 | + | 0.328414i | ||||
\(454\) | 9.77433e11 | + | 4.04866e11i | 1.07978 | + | 0.447260i | ||||
\(455\) | 2.67574e12i | 2.92679i | ||||||||
\(456\) | 4.28560e10 | − | 1.03463e11i | 0.0464162 | − | 0.112059i | ||||
\(457\) | −1.01658e12 | + | 1.01658e12i | −1.09023 | + | 1.09023i | −0.0947317 | + | 0.995503i | \(0.530199\pi\) |
−0.995503 | + | 0.0947317i | \(0.969801\pi\) | |||||||
\(458\) | 5.32199e11 | 0.565171 | ||||||||
\(459\) | −4.30753e11 | + | 3.28783e11i | −0.452972 | + | 0.345742i | ||||
\(460\) | −2.04594e12 | −2.13051 | ||||||||
\(461\) | −6.39079e11 | + | 6.39079e11i | −0.659023 | + | 0.659023i | −0.955149 | − | 0.296126i | \(-0.904305\pi\) |
0.296126 | + | 0.955149i | \(0.404305\pi\) | |||||||
\(462\) | −3.15978e11 | + | 7.62839e11i | −0.322677 | + | 0.779011i | ||||
\(463\) | 5.54467e11i | 0.560740i | 0.959892 | + | 0.280370i | \(0.0904571\pi\) | ||||
−0.959892 | + | 0.280370i | \(0.909543\pi\) | |||||||
\(464\) | 6.72105e10 | + | 2.78395e10i | 0.0673142 | + | 0.0278824i | ||||
\(465\) | −1.73142e11 | − | 4.18002e11i | −0.171737 | − | 0.414610i | ||||
\(466\) | 1.45655e12 | − | 6.03322e11i | 1.43083 | − | 0.592669i | ||||
\(467\) | −3.97135e11 | − | 3.97135e11i | −0.386378 | − | 0.386378i | 0.487015 | − | 0.873393i | \(-0.338086\pi\) |
−0.873393 | + | 0.487015i | \(0.838086\pi\) | |||||||
\(468\) | 1.27282e12 | + | 1.27282e12i | 1.22648 | + | 1.22648i | ||||
\(469\) | 9.97659e11 | − | 4.13244e11i | 0.952147 | − | 0.394392i | ||||
\(470\) | 8.21598e11 | + | 1.98351e12i | 0.776639 | + | 1.87497i | ||||
\(471\) | −8.22194e10 | − | 3.40564e10i | −0.0769804 | − | 0.0318863i | ||||
\(472\) | 1.88323e11i | 0.174648i | ||||||||
\(473\) | −1.16377e11 | + | 2.80960e11i | −0.106904 | + | 0.258089i | ||||
\(474\) | 4.28626e11 | − | 4.28626e11i | 0.390010 | − | 0.390010i | ||||
\(475\) | −1.05196e12 | −0.948153 | ||||||||
\(476\) | −1.41855e12 | − | 1.85851e12i | −1.26652 | − | 1.65933i | ||||
\(477\) | 2.03797e11 | 0.180245 | ||||||||
\(478\) | −7.34380e11 | + | 7.34380e11i | −0.643421 | + | 0.643421i | ||||
\(479\) | 1.74086e11 | − | 4.20281e11i | 0.151096 | − | 0.364779i | −0.830149 | − | 0.557542i | \(-0.811745\pi\) |
0.981245 | + | 0.192762i | \(0.0617447\pi\) | |||||||
\(480\) | − | 6.83790e11i | − | 0.587946i | ||||||
\(481\) | 3.19868e11 | + | 1.32494e11i | 0.272470 | + | 0.112861i | ||||
\(482\) | −1.30241e12 | − | 3.14430e12i | −1.09910 | − | 2.65346i | ||||
\(483\) | 3.64998e11 | − | 1.51187e11i | 0.305161 | − | 0.126402i | ||||
\(484\) | 9.06449e11 | + | 9.06449e11i | 0.750826 | + | 0.750826i | ||||
\(485\) | −2.65303e12 | − | 2.65303e12i | −2.17723 | − | 2.17723i | ||||
\(486\) | 1.42876e12 | − | 5.91811e11i | 1.16170 | − | 0.481193i | ||||
\(487\) | −1.81083e10 | − | 4.37174e10i | −0.0145881 | − | 0.0352187i | 0.916418 | − | 0.400223i | \(-0.131067\pi\) |
−0.931006 | + | 0.365005i | \(0.881067\pi\) | |||||||
\(488\) | 6.17643e11 | + | 2.55836e11i | 0.493001 | + | 0.204208i | ||||
\(489\) | − | 3.15041e11i | − | 0.249159i | ||||||
\(490\) | −1.15664e12 | + | 2.79237e12i | −0.906389 | + | 2.18822i | ||||
\(491\) | −1.45788e12 | + | 1.45788e12i | −1.13202 | + | 1.13202i | −0.142184 | + | 0.989840i | \(0.545412\pi\) |
−0.989840 | + | 0.142184i | \(0.954588\pi\) | |||||||
\(492\) | −8.20610e11 | −0.631384 | ||||||||
\(493\) | 4.90227e11 | + | 6.58148e10i | 0.373754 | + | 0.0501779i | ||||
\(494\) | 1.27051e12 | 0.959858 | ||||||||
\(495\) | 1.92644e12 | − | 1.92644e12i | 1.44222 | − | 1.44222i | ||||
\(496\) | −8.72313e10 | + | 2.10595e11i | −0.0647150 | + | 0.156236i | ||||
\(497\) | − | 2.45895e11i | − | 0.180778i | ||||||
\(498\) | 2.55374e11 | + | 1.05780e11i | 0.186057 | + | 0.0770672i | ||||
\(499\) | 5.40109e10 | + | 1.30394e11i | 0.0389968 | + | 0.0941466i | 0.942178 | − | 0.335113i | \(-0.108775\pi\) |
−0.903181 | + | 0.429260i | \(0.858775\pi\) | |||||||
\(500\) | 3.24595e12 | − | 1.34452e12i | 2.32261 | − | 0.962057i | ||||
\(501\) | 5.73448e9 | + | 5.73448e9i | 0.00406653 | + | 0.00406653i | ||||
\(502\) | −2.27732e12 | − | 2.27732e12i | −1.60051 | − | 1.60051i | ||||
\(503\) | 9.83173e11 | − | 4.07244e11i | 0.684816 | − | 0.283660i | −0.0130224 | − | 0.999915i | \(-0.504145\pi\) |
0.697839 | + | 0.716255i | \(0.254145\pi\) | |||||||
\(504\) | 5.79237e11 | + | 1.39840e12i | 0.399870 | + | 0.965372i | ||||
\(505\) | 3.50753e12 | + | 1.45287e12i | 2.39989 | + | 0.994066i | ||||
\(506\) | − | 2.47507e12i | − | 1.67845i | ||||||
\(507\) | 9.37622e10 | − | 2.26362e11i | 0.0630219 | − | 0.152148i | ||||
\(508\) | 6.49196e11 | − | 6.49196e11i | 0.432503 | − | 0.432503i | ||||
\(509\) | 1.82148e12 | 1.20280 | 0.601402 | − | 0.798947i | \(-0.294609\pi\) | ||||
0.601402 | + | 0.798947i | \(0.294609\pi\) | |||||||
\(510\) | −3.19280e11 | − | 1.20387e12i | −0.208981 | − | 0.787978i | ||||
\(511\) | −1.23866e11 | −0.0803637 | ||||||||
\(512\) | −4.21941e11 | + | 4.21941e11i | −0.271355 | + | 0.271355i | ||||
\(513\) | 1.65750e11 | − | 4.00155e11i | 0.105663 | − | 0.255094i | ||||
\(514\) | 2.18831e12i | 1.38285i | ||||||||
\(515\) | −9.26502e11 | − | 3.83770e11i | −0.580382 | − | 0.240402i | ||||
\(516\) | −6.02478e10 | − | 1.45451e11i | −0.0374126 | − | 0.0903220i | ||||
\(517\) | −1.45036e12 | + | 6.00758e11i | −0.892828 | + | 0.369821i | ||||
\(518\) | 5.95751e11 | + | 5.95751e11i | 0.363564 | + | 0.363564i | ||||
\(519\) | 5.07008e11 | + | 5.07008e11i | 0.306734 | + | 0.306734i | ||||
\(520\) | −2.77049e12 | + | 1.14757e12i | −1.66166 | + | 0.688281i | ||||
\(521\) | −1.41088e11 | − | 3.40617e11i | −0.0838920 | − | 0.202533i | 0.876367 | − | 0.481644i | \(-0.159960\pi\) |
−0.960259 | + | 0.279111i | \(0.909960\pi\) | |||||||
\(522\) | −8.56147e11 | − | 3.54628e11i | −0.504697 | − | 0.209052i | ||||
\(523\) | − | 1.31876e12i | − | 0.770740i | −0.922762 | − | 0.385370i | \(-0.874074\pi\) | ||
0.922762 | − | 0.385370i | \(-0.125926\pi\) | |||||||
\(524\) | −2.03947e11 | + | 4.92371e11i | −0.118175 | + | 0.285300i | ||||
\(525\) | −9.81107e11 | + | 9.81107e11i | −0.563637 | + | 0.563637i | ||||
\(526\) | 1.35184e12 | 0.769995 | ||||||||
\(527\) | −2.06222e11 | + | 1.53606e12i | −0.116463 | + | 0.867481i | ||||
\(528\) | 1.33945e11 | 0.0750021 | ||||||||
\(529\) | 4.36213e11 | − | 4.36213e11i | 0.242186 | − | 0.242186i | ||||
\(530\) | −3.75997e11 | + | 9.07737e11i | −0.206987 | + | 0.499711i | ||||
\(531\) | 3.47237e11i | 0.189540i | ||||||||
\(532\) | 1.72649e12 | + | 7.15136e11i | 0.934462 | + | 0.387067i | ||||
\(533\) | −1.23111e12 | − | 2.97215e12i | −0.660729 | − | 1.59514i | ||||
\(534\) | −1.31042e12 | + | 5.42793e11i | −0.697388 | + | 0.288867i | ||||
\(535\) | −4.50938e12 | − | 4.50938e12i | −2.37971 | − | 2.37971i | ||||
\(536\) | 8.55754e11 | + | 8.55754e11i | 0.447824 | + | 0.447824i | ||||
\(537\) | −2.21762e11 | + | 9.18570e10i | −0.115081 | + | 0.0476681i | ||||
\(538\) | 2.39686e10 | + | 5.78652e10i | 0.0123345 | + | 0.0297781i | ||||
\(539\) | −2.04180e12 | − | 8.45740e11i | −1.04199 | − | 0.431606i | ||||
\(540\) | 2.95844e12i | 1.49724i | ||||||||
\(541\) | −1.44799e12 | + | 3.49575e12i | −0.726737 | + | 1.75450i | −0.0735647 | + | 0.997290i | \(0.523438\pi\) |
−0.653173 | + | 0.757209i | \(0.726562\pi\) | |||||||
\(542\) | 5.23326e11 | − | 5.23326e11i | 0.260481 | − | 0.260481i | ||||
\(543\) | −2.49935e11 | −0.123375 | ||||||||
\(544\) | −1.17634e12 | + | 2.02551e12i | −0.575889 | + | 0.991607i | ||||
\(545\) | −2.27024e12 | −1.10227 | ||||||||
\(546\) | 1.18494e12 | − | 1.18494e12i | 0.570595 | − | 0.570595i | ||||
\(547\) | 7.23694e11 | − | 1.74715e12i | 0.345631 | − | 0.834426i | −0.651494 | − | 0.758653i | \(-0.725858\pi\) |
0.997125 | − | 0.0757728i | \(-0.0241424\pi\) | |||||||
\(548\) | − | 8.73198e11i | − | 0.413619i | ||||||
\(549\) | 1.13883e12 | + | 4.71719e11i | 0.535037 | + | 0.221620i | ||||
\(550\) | 3.32646e12 | + | 8.03079e12i | 1.55007 | + | 3.74219i | ||||
\(551\) | −3.65252e11 | + | 1.51292e11i | −0.168815 | + | 0.0699254i | ||||
\(552\) | 3.13082e11 | + | 3.13082e11i | 0.143526 | + | 0.143526i | ||||
\(553\) | 2.47155e12 | + | 2.47155e12i | 1.12384 | + | 1.12384i | ||||
\(554\) | −5.78057e11 | + | 2.39439e11i | −0.260722 | + | 0.107994i | ||||
\(555\) | 1.03815e11 | + | 2.50631e11i | 0.0464451 | + | 0.112128i | ||||
\(556\) | −2.83834e12 | − | 1.17568e12i | −1.25959 | − | 0.521737i | ||||
\(557\) | 4.28655e12i | 1.88695i | 0.331447 | + | 0.943474i | \(0.392463\pi\) | ||||
−0.331447 | + | 0.943474i | \(0.607537\pi\) | |||||||
\(558\) | 1.11118e12 | − | 2.68262e12i | 0.485209 | − | 1.17140i | ||||
\(559\) | 4.36422e11 | − | 4.36422e11i | 0.189040 | − | 0.189040i | ||||
\(560\) | 1.05627e12 | 0.453868 | ||||||||
\(561\) | 8.80279e11 | − | 2.33460e11i | 0.375221 | − | 0.0995130i | ||||
\(562\) | 2.61736e12 | 1.10675 | ||||||||
\(563\) | −4.16285e10 | + | 4.16285e10i | −0.0174624 | + | 0.0174624i | −0.715784 | − | 0.698322i | \(-0.753931\pi\) |
0.698322 | + | 0.715784i | \(0.253931\pi\) | |||||||
\(564\) | 3.11009e11 | − | 7.50842e11i | 0.129425 | − | 0.312459i | ||||
\(565\) | − | 5.32086e12i | − | 2.19667i | ||||||
\(566\) | −1.88052e12 | − | 7.78938e11i | −0.770202 | − | 0.319028i | ||||
\(567\) | 9.53624e11 | + | 2.30225e12i | 0.387484 | + | 0.935468i | ||||
\(568\) | 2.54602e11 | − | 1.05460e11i | 0.102635 | − | 0.0425127i | ||||
\(569\) | 2.26843e12 | + | 2.26843e12i | 0.907237 | + | 0.907237i | 0.996048 | − | 0.0888117i | \(-0.0283070\pi\) |
−0.0888117 | + | 0.996048i | \(0.528307\pi\) | |||||||
\(570\) | 7.03925e11 | + | 7.03925e11i | 0.279312 | + | 0.279312i | ||||
\(571\) | −1.80826e12 | + | 7.49005e11i | −0.711865 | + | 0.294864i | −0.709076 | − | 0.705132i | \(-0.750888\pi\) |
−0.00278920 | + | 0.999996i | \(0.500888\pi\) | |||||||
\(572\) | −2.42833e12 | − | 5.86251e12i | −0.948475 | − | 2.28982i | ||||
\(573\) | 1.23817e12 | + | 5.12867e11i | 0.479827 | + | 0.198751i | ||||
\(574\) | − | 7.82852e12i | − | 3.01007i | ||||||
\(575\) | 1.59162e12 | − | 3.84252e12i | 0.607205 | − | 1.46592i | ||||
\(576\) | 2.77422e12 | − | 2.77422e12i | 1.05012 | − | 1.05012i | ||||
\(577\) | −3.98897e12 | −1.49820 | −0.749099 | − | 0.662458i | \(-0.769513\pi\) | ||||
−0.749099 | + | 0.662458i | \(0.769513\pi\) | |||||||
\(578\) | −1.12528e12 | + | 4.11535e12i | −0.419360 | + | 1.53367i | ||||
\(579\) | 2.58271e11 | 0.0955042 | ||||||||
\(580\) | 1.90947e12 | − | 1.90947e12i | 0.700626 | − | 0.700626i | ||||
\(581\) | −6.09946e11 | + | 1.47254e12i | −0.222075 | + | 0.536135i | ||||
\(582\) | 2.34976e12i | 0.848926i | ||||||||
\(583\) | −6.63743e11 | − | 2.74931e11i | −0.237953 | − | 0.0985635i | ||||
\(584\) | −5.31240e10 | − | 1.28253e11i | −0.0188988 | − | 0.0456256i | ||||
\(585\) | −5.10832e12 | + | 2.11594e12i | −1.80334 | + | 0.746967i | ||||
\(586\) | 1.51355e12 | + | 1.51355e12i | 0.530222 | + | 0.530222i | ||||
\(587\) | 2.55666e12 | + | 2.55666e12i | 0.888794 | + | 0.888794i | 0.994407 | − | 0.105613i | \(-0.0336805\pi\) |
−0.105613 | + | 0.994407i | \(0.533681\pi\) | |||||||
\(588\) | 1.05703e12 | − | 4.37835e11i | 0.364660 | − | 0.151047i | ||||
\(589\) | −4.74054e11 | − | 1.14447e12i | −0.162296 | − | 0.391818i | ||||
\(590\) | −1.54664e12 | − | 6.40638e11i | −0.525478 | − | 0.217660i | ||||
\(591\) | − | 2.15498e11i | − | 0.0726608i | ||||||
\(592\) | 5.23032e10 | − | 1.26271e11i | 0.0175017 | − | 0.0422528i | ||||
\(593\) | 2.09346e12 | − | 2.09346e12i | 0.695215 | − | 0.695215i | −0.268160 | − | 0.963374i | \(-0.586416\pi\) |
0.963374 | + | 0.268160i | \(0.0864155\pi\) | |||||||
\(594\) | −3.57896e12 | −1.17955 | ||||||||
\(595\) | 6.94176e12 | − | 1.84104e12i | 2.27061 | − | 0.602193i | ||||
\(596\) | 5.21009e12 | 1.69136 | ||||||||
\(597\) | −2.56430e11 | + | 2.56430e11i | −0.0826198 | + | 0.0826198i | ||||
\(598\) | −1.92229e12 | + | 4.64082e12i | −0.614701 | + | 1.48402i | ||||
\(599\) | 5.30361e12i | 1.68326i | 0.540055 | + | 0.841630i | \(0.318404\pi\) | ||||
−0.540055 | + | 0.841630i | \(0.681596\pi\) | |||||||
\(600\) | −1.43663e12 | − | 5.95071e11i | −0.452547 | − | 0.187451i | ||||
\(601\) | −1.66630e12 | − | 4.02281e12i | −0.520978 | − | 1.25775i | −0.937297 | − | 0.348533i | \(-0.886680\pi\) |
0.416319 | − | 0.909219i | \(-0.363320\pi\) | |||||||
\(602\) | 1.38759e12 | − | 5.74757e11i | 0.430602 | − | 0.178361i | ||||
\(603\) | 1.57787e12 | + | 1.57787e12i | 0.486008 | + | 0.486008i | ||||
\(604\) | −4.21317e12 | − | 4.21317e12i | −1.28808 | − | 1.28808i | ||||
\(605\) | −3.63795e12 | + | 1.50689e12i | −1.10397 | + | 0.457279i | ||||
\(606\) | −9.09899e11 | − | 2.19669e12i | −0.274073 | − | 0.661671i | ||||
\(607\) | −2.26935e12 | − | 9.39994e11i | −0.678503 | − | 0.281045i | 0.0166979 | − | 0.999861i | \(-0.494685\pi\) |
−0.695201 | + | 0.718815i | \(0.744685\pi\) | |||||||
\(608\) | − | 1.87218e12i | − | 0.555625i | ||||||
\(609\) | −1.99549e11 | + | 4.81753e11i | −0.0587856 | + | 0.141921i | ||||
\(610\) | −4.20220e12 | + | 4.20220e12i | −1.22883 | + | 1.22883i | ||||
\(611\) | 3.18605e12 | 0.924841 | ||||||||
\(612\) | 2.42636e12 | − | 4.17787e12i | 0.699154 | − | 1.20385i | ||||
\(613\) | −1.81976e12 | −0.520526 | −0.260263 | − | 0.965538i | \(-0.583809\pi\) | ||||
−0.260263 | + | 0.965538i | \(0.583809\pi\) | |||||||
\(614\) | −6.77955e12 | + | 6.77955e12i | −1.92506 | + | 1.92506i | ||||
\(615\) | 9.64625e11 | − | 2.32881e12i | 0.271907 | − | 0.656442i | ||||
\(616\) | − | 5.33586e12i | − | 1.49311i | ||||||
\(617\) | 1.35088e11 | + | 5.59555e10i | 0.0375262 | + | 0.0155439i | 0.401368 | − | 0.915917i | \(-0.368535\pi\) |
−0.363841 | + | 0.931461i | \(0.618535\pi\) | |||||||
\(618\) | 2.40346e11 | + | 5.80248e11i | 0.0662811 | + | 0.160017i | ||||
\(619\) | 4.25158e11 | − | 1.76106e11i | 0.116397 | − | 0.0482133i | −0.323725 | − | 0.946151i | \(-0.604935\pi\) |
0.440122 | + | 0.897938i | \(0.354935\pi\) | |||||||
\(620\) | 5.98305e12 | + | 5.98305e12i | 1.62615 | + | 1.62615i | ||||
\(621\) | 1.21088e12 | + | 1.21088e12i | 0.326729 | + | 0.326729i | ||||
\(622\) | 1.08283e13 | − | 4.48521e12i | 2.90070 | − | 1.20151i | ||||
\(623\) | −3.12985e12 | − | 7.55614e12i | −0.832392 | − | 2.00957i | ||||
\(624\) | −2.51151e11 | − | 1.04030e11i | −0.0663138 | − | 0.0274681i | ||||
\(625\) | 3.32753e12i | 0.872293i | ||||||||
\(626\) | 1.81253e12 | − | 4.37583e12i | 0.471737 | − | 1.13887i | ||||
\(627\) | −5.14715e11 | + | 5.14715e11i | −0.133003 | + | 0.133003i | ||||
\(628\) | 1.66431e12 | 0.426988 | ||||||||
\(629\) | 1.23649e11 | − | 9.21008e11i | 0.0314965 | − | 0.234604i | ||||
\(630\) | −1.34551e13 | −3.40294 | ||||||||
\(631\) | −2.51883e12 | + | 2.51883e12i | −0.632510 | + | 0.632510i | −0.948697 | − | 0.316187i | \(-0.897597\pi\) |
0.316187 | + | 0.948697i | \(0.397597\pi\) | |||||||
\(632\) | −1.49907e12 | + | 3.61907e12i | −0.373761 | + | 0.902339i | ||||
\(633\) | − | 1.53507e12i | − | 0.380025i | ||||||
\(634\) | −1.97558e12 | − | 8.18312e11i | −0.485616 | − | 0.201149i | ||||
\(635\) | 1.07923e12 | + | 2.60548e12i | 0.263409 | + | 0.635926i | ||||
\(636\) | 3.43616e11 | − | 1.42330e11i | 0.0832753 | − | 0.0344938i | ||||
\(637\) | 3.17158e12 | + | 3.17158e12i | 0.763216 | + | 0.763216i | ||||
\(638\) | 2.30997e12 | + | 2.30997e12i | 0.551966 | + | 0.551966i | ||||
\(639\) | 4.69444e11 | − | 1.94450e11i | 0.111386 | − | 0.0461375i | ||||
\(640\) | 4.03572e12 | + | 9.74310e12i | 0.950849 | + | 2.29555i | ||||
\(641\) | 1.91229e11 | + | 7.92096e10i | 0.0447396 | + | 0.0185318i | 0.404941 | − | 0.914343i | \(-0.367292\pi\) |
−0.360201 | + | 0.932875i | \(0.617292\pi\) | |||||||
\(642\) | 3.99391e12i | 0.927877i | ||||||||
\(643\) | 6.73649e11 | − | 1.62633e12i | 0.155412 | − | 0.375197i | −0.826927 | − | 0.562310i | \(-0.809913\pi\) |
0.982339 | + | 0.187112i | \(0.0599129\pi\) | |||||||
\(644\) | −5.22438e12 | + | 5.22438e12i | −1.19687 | + | 1.19687i | ||||
\(645\) | 4.83597e11 | 0.110018 | ||||||||
\(646\) | −8.74173e11 | − | 3.29613e12i | −0.197493 | − | 0.744661i | ||||
\(647\) | 7.25098e12 | 1.62677 | 0.813387 | − | 0.581722i | \(-0.197621\pi\) | ||||
0.813387 | + | 0.581722i | \(0.197621\pi\) | |||||||
\(648\) | −1.97479e12 | + | 1.97479e12i | −0.439980 | + | 0.439980i | ||||
\(649\) | 4.68439e11 | − | 1.13091e12i | 0.103646 | − | 0.250223i | ||||
\(650\) | − | 1.76415e13i | − | 3.87637i | ||||||
\(651\) | −1.50951e12 | − | 6.25258e11i | −0.329398 | − | 0.136441i | ||||
\(652\) | 2.25466e12 | + | 5.44324e12i | 0.488616 | + | 1.17962i | ||||
\(653\) | 1.43647e12 | − | 5.95007e11i | 0.309164 | − | 0.128060i | −0.222707 | − | 0.974885i | \(-0.571489\pi\) |
0.531871 | + | 0.846826i | \(0.321489\pi\) | |||||||
\(654\) | 1.00536e12 | + | 1.00536e12i | 0.214893 | + | 0.214893i | ||||
\(655\) | −1.15756e12 | − | 1.15756e12i | −0.245730 | − | 0.245730i | ||||
\(656\) | −1.17329e12 | + | 4.85991e11i | −0.247364 | + | 0.102462i | ||||
\(657\) | −9.79519e10 | − | 2.36477e11i | −0.0205102 | − | 0.0495159i | ||||
\(658\) | 7.16295e12 | + | 2.96699e12i | 1.48962 | + | 0.617020i | ||||
\(659\) | 4.12047e12i | 0.851065i | 0.904943 | + | 0.425532i | \(0.139913\pi\) | ||||
−0.904943 | + | 0.425532i | \(0.860087\pi\) | |||||||
\(660\) | 1.90270e12 | − | 4.59353e12i | 0.390322 | − | 0.942321i | ||||
\(661\) | 4.10391e12 | − | 4.10391e12i | 0.836163 | − | 0.836163i | −0.152189 | − | 0.988351i | \(-0.548632\pi\) |
0.988351 | + | 0.152189i | \(0.0486321\pi\) | |||||||
\(662\) | 5.61772e12 | 1.13684 | ||||||||
\(663\) | −1.83187e12 | − | 2.45935e11i | −0.368200 | − | 0.0494322i | ||||
\(664\) | −1.78628e12 | −0.356609 | ||||||||
\(665\) | −4.05897e12 | + | 4.05897e12i | −0.804857 | + | 0.804857i | ||||
\(666\) | −6.66252e11 | + | 1.60848e12i | −0.131221 | + | 0.316797i | ||||
\(667\) | − | 1.56307e12i | − | 0.305782i | ||||||
\(668\) | −1.40120e11 | − | 5.80395e10i | −0.0272273 | − | 0.0112779i | ||||
\(669\) | 1.08465e12 | + | 2.61857e12i | 0.209349 | + | 0.505413i | ||||
\(670\) | −9.93915e12 | + | 4.11693e12i | −1.90552 | + | 0.789291i | ||||
\(671\) | −3.07268e12 | − | 3.07268e12i | −0.585148 | − | 0.585148i | ||||
\(672\) | −1.74608e12 | − | 1.74608e12i | −0.330296 | − | 0.330296i | ||||
\(673\) | 1.67156e12 | − | 6.92382e11i | 0.314090 | − | 0.130100i | −0.220069 | − | 0.975484i | \(-0.570628\pi\) |
0.534159 | + | 0.845384i | \(0.320628\pi\) | |||||||
\(674\) | 3.95318e11 | + | 9.54381e11i | 0.0737865 | + | 0.178136i | ||||
\(675\) | −5.55630e12 | − | 2.30150e12i | −1.03019 | − | 0.426720i | ||||
\(676\) | 4.58208e12i | 0.843923i | ||||||||
\(677\) | −6.92618e11 | + | 1.67213e12i | −0.126720 | + | 0.305929i | −0.974489 | − | 0.224437i | \(-0.927946\pi\) |
0.847769 | + | 0.530366i | \(0.177946\pi\) | |||||||
\(678\) | −2.35632e12 | + | 2.35632e12i | −0.428253 | + | 0.428253i | ||||
\(679\) | −1.35492e13 | −2.44624 | ||||||||
\(680\) | 4.88342e12 | + | 6.39799e12i | 0.875859 | + | 1.14750i | ||||
\(681\) | 1.23018e12 | 0.219182 | ||||||||
\(682\) | −7.23796e12 | + | 7.23796e12i | −1.28111 | + | 1.28111i | ||||
\(683\) | 3.48019e12 | − | 8.40193e12i | 0.611942 | − | 1.47736i | −0.248922 | − | 0.968524i | \(-0.580076\pi\) |
0.860864 | − | 0.508835i | \(-0.169924\pi\) | |||||||
\(684\) | 3.86161e12i | 0.674553i | ||||||||
\(685\) | 2.47805e12 | + | 1.02644e12i | 0.430034 | + | 0.178126i | ||||
\(686\) | −6.44573e11 | − | 1.55614e12i | −0.111125 | − | 0.268281i | ||||
\(687\) | 5.71723e11 | − | 2.36815e11i | 0.0979219 | − | 0.0405606i | ||||
\(688\) | −1.72281e11 | − | 1.72281e11i | −0.0293151 | − | 0.0293151i | ||||
\(689\) | 1.03101e12 | + | 1.03101e12i | 0.174291 | + | 0.174291i | ||||
\(690\) | −3.63628e12 | + | 1.50620e12i | −0.610713 | + | 0.252965i | ||||
\(691\) | 3.37885e12 | + | 8.15727e12i | 0.563791 | + | 1.36111i | 0.906713 | + | 0.421747i | \(0.138583\pi\) |
−0.342923 | + | 0.939364i | \(0.611417\pi\) | |||||||
\(692\) | −1.23885e13 | − | 5.13150e12i | −2.05373 | − | 0.850682i | ||||
\(693\) | − | 9.83845e12i | − | 1.62042i | ||||||
\(694\) | 7.36237e12 | − | 1.77743e13i | 1.20476 | − | 2.90854i | ||||
\(695\) | 6.67292e12 | − | 6.67292e12i | 1.08489 | − | 1.08489i | ||||
\(696\) | −5.84395e11 | −0.0943985 | ||||||||
\(697\) | −6.86371e12 | + | 5.23889e12i | −1.10157 | + | 0.840798i | ||||
\(698\) | −3.39177e11 | −0.0540851 | ||||||||
\(699\) | 1.29625e12 | − | 1.29625e12i | 0.205373 | − | 0.205373i | ||||
\(700\) | 9.92992e12 | − | 2.39730e13i | 1.56316 | − | 3.77381i | ||||
\(701\) | 9.89561e12i | 1.54779i | 0.633315 | + | 0.773894i | \(0.281694\pi\) | ||||
−0.633315 | + | 0.773894i | \(0.718306\pi\) | |||||||
\(702\) | 6.71065e12 | + | 2.77964e12i | 1.04291 | + | 0.431988i | ||||
\(703\) | 2.84239e11 | + | 6.86213e11i | 0.0438919 | + | 0.105964i | ||||
\(704\) | −1.27779e13 | + | 5.29277e12i | −1.96057 | + | 0.812093i | ||||
\(705\) | 1.76523e12 | + | 1.76523e12i | 0.269122 | + | 0.269122i | ||||
\(706\) | 4.22584e12 | + | 4.22584e12i | 0.640164 | + | 0.640164i | ||||
\(707\) | 1.26666e13 | − | 5.24666e12i | 1.90665 | − | 0.789761i | ||||
\(708\) | 2.42508e11 | + | 5.85467e11i | 0.0362724 | + | 0.0875694i | ||||
\(709\) | 4.34645e12 | + | 1.80036e12i | 0.645991 | + | 0.267578i | 0.681530 | − | 0.731790i | \(-0.261315\pi\) |
−0.0355393 | + | 0.999368i | \(0.511315\pi\) | |||||||
\(710\) | 2.44972e12i | 0.361788i | ||||||||
\(711\) | −2.76403e12 | + | 6.67296e12i | −0.405630 | + | 0.979277i | ||||
\(712\) | 6.48137e12 | − | 6.48137e12i | 0.945164 | − | 0.945164i | ||||
\(713\) | 4.89767e12 | 0.709719 | ||||||||
\(714\) | −3.88942e12 | − | 2.25883e12i | −0.560071 | − | 0.325268i | ||||
\(715\) | 1.94917e13 | 2.78916 | ||||||||
\(716\) | 3.17418e12 | − | 3.17418e12i | 0.451360 | − | 0.451360i | ||||
\(717\) | −4.62137e11 | + | 1.11570e12i | −0.0653033 | + | 0.157656i | ||||
\(718\) | − | 1.62289e13i | − | 2.27893i | ||||||
\(719\) | −9.77952e12 | − | 4.05081e12i | −1.36470 | − | 0.565278i | −0.424355 | − | 0.905496i | \(-0.639499\pi\) |
−0.940347 | + | 0.340218i | \(0.889499\pi\) | |||||||
\(720\) | 8.35286e11 | + | 2.01656e12i | 0.115835 | + | 0.279650i | ||||
\(721\) | −3.34582e12 | + | 1.38589e12i | −0.461099 | + | 0.190994i | ||||
\(722\) | −6.28171e12 | − | 6.28171e12i | −0.860321 | − | 0.860321i | ||||
\(723\) | −2.79827e12 | − | 2.79827e12i | −0.380862 | − | 0.380862i | ||||
\(724\) | 4.31834e12 | − | 1.78872e12i | 0.584109 | − | 0.241946i | ||||
\(725\) | 2.10075e12 | + | 5.07166e12i | 0.282393 | + | 0.681756i | ||||
\(726\) | 2.27836e12 | + | 9.43729e11i | 0.304374 | + | 0.126076i | ||||
\(727\) | − | 8.87601e11i | − | 0.117845i | −0.998263 | − | 0.0589227i | \(-0.981233\pi\) | ||
0.998263 | − | 0.0589227i | \(-0.0187666\pi\) | |||||||
\(728\) | −4.14417e12 | + | 1.00049e13i | −0.546822 | + | 1.32015i | ||||
\(729\) | −2.72498e12 | + | 2.72498e12i | −0.357347 | + | 0.357347i | ||||
\(730\) | 1.23402e12 | 0.160830 | ||||||||
\(731\) | −1.43250e12 | − | 8.31946e11i | −0.185553 | − | 0.107762i | ||||
\(732\) | 2.24960e12 | 0.289604 | ||||||||
\(733\) | 2.52713e12 | − | 2.52713e12i | 0.323341 | − | 0.323341i | −0.526707 | − | 0.850047i | \(-0.676573\pi\) |
0.850047 | + | 0.526707i | \(0.176573\pi\) | |||||||
\(734\) | −5.03956e12 | + | 1.21666e13i | −0.640856 | + | 1.54716i | ||||
\(735\) | 3.51441e12i | 0.444181i | ||||||||
\(736\) | 6.83856e12 | + | 2.83262e12i | 0.859042 | + | 0.355827i | ||||
\(737\) | −3.01033e12 | − | 7.26757e12i | −0.375846 | − | 0.907373i | ||||
\(738\) | 1.49456e13 | − | 6.19069e12i | 1.85465 | − | 0.768219i | ||||
\(739\) | 3.54381e12 | + | 3.54381e12i | 0.437089 | + | 0.437089i | 0.891031 | − | 0.453942i | \(-0.149983\pi\) |
−0.453942 | + | 0.891031i | \(0.649983\pi\) | |||||||
\(740\) | −3.58739e12 | − | 3.58739e12i | −0.439780 | − | 0.439780i | ||||
\(741\) | 1.36486e12 | − | 5.65345e11i | 0.166306 | − | 0.0688862i | ||||
\(742\) | 1.35782e12 | + | 3.27806e12i | 0.164446 | + | 0.397008i | ||||
\(743\) | −9.32339e12 | − | 3.86187e12i | −1.12234 | − | 0.464888i | −0.257169 | − | 0.966366i | \(-0.582790\pi\) |
−0.865170 | + | 0.501478i | \(0.832790\pi\) | |||||||
\(744\) | − | 1.83112e12i | − | 0.219098i | ||||||
\(745\) | −6.12445e12 | + | 1.47857e13i | −0.728389 | + | 1.75849i | ||||
\(746\) | −1.32979e13 | + | 1.32979e13i | −1.57202 | + | 1.57202i | ||||
\(747\) | −3.29360e12 | −0.387016 | ||||||||
\(748\) | −1.35385e13 | + | 1.03336e13i | −1.58130 | + | 1.20696i | ||||
\(749\) | −2.30297e13 | −2.67374 | ||||||||
\(750\) | 4.77926e12 | − | 4.77926e12i | 0.551550 | − | 0.551550i | ||||
\(751\) | −2.17823e12 | + | 5.25872e12i | −0.249876 | + | 0.603254i | −0.998193 | − | 0.0600869i | \(-0.980862\pi\) |
0.748317 | + | 0.663341i | \(0.230862\pi\) | |||||||
\(752\) | − | 1.25772e12i | − | 0.143418i | ||||||
\(753\) | −3.45980e12 | − | 1.43310e12i | −0.392169 | − | 0.162442i | ||||
\(754\) | −2.53719e12 | − | 6.12532e12i | −0.285879 | − | 0.690173i | ||||
\(755\) | 1.69091e13 | − | 7.00399e12i | 1.89391 | − | 0.784484i | ||||
\(756\) | 7.55448e12 | + | 7.55448e12i | 0.841118 | + | 0.841118i | ||||
\(757\) | −1.67432e12 | − | 1.67432e12i | −0.185313 | − | 0.185313i | 0.608353 | − | 0.793666i | \(-0.291830\pi\) |
−0.793666 | + | 0.608353i | \(0.791830\pi\) | |||||||
\(758\) | −6.99401e12 | + | 2.89702e12i | −0.769511 | + | 0.318742i | ||||
\(759\) | −1.10134e12 | − | 2.65888e12i | −0.120458 | − | 0.290810i | ||||
\(760\) | −5.94352e12 | − | 2.46189e12i | −0.646223 | − | 0.267675i | ||||
\(761\) | − | 6.61154e12i | − | 0.714614i | −0.933987 | − | 0.357307i | \(-0.883695\pi\) | ||
0.933987 | − | 0.357307i | \(-0.116305\pi\) | |||||||
\(762\) | 6.75896e11 | − | 1.63176e12i | 0.0726244 | − | 0.175331i | ||||
\(763\) | −5.79713e12 | + | 5.79713e12i | −0.619231 | + | 0.619231i | ||||
\(764\) | −2.50634e13 | −2.66146 | ||||||||
\(765\) | 9.00422e12 | + | 1.17968e13i | 0.950539 | + | 1.24534i | ||||
\(766\) | 9.98355e12 | 1.04775 | ||||||||
\(767\) | −1.75667e12 | + | 1.75667e12i | −0.183279 | + | 0.183279i | ||||
\(768\) | 7.34271e11 | − | 1.77269e12i | 0.0761607 | − | 0.183868i | ||||
\(769\) | − | 1.56648e13i | − | 1.61531i | −0.589654 | − | 0.807656i | \(-0.700736\pi\) | ||
0.589654 | − | 0.807656i | \(-0.299264\pi\) | |||||||
\(770\) | 4.38218e13 | + | 1.81516e13i | 4.49243 | + | 1.86083i | ||||
\(771\) | 9.73742e11 | + | 2.35082e12i | 0.0992428 | + | 0.239593i | ||||
\(772\) | −4.46238e12 | + | 1.84838e12i | −0.452156 | + | 0.187289i | ||||
\(773\) | 1.05197e13 | + | 1.05197e13i | 1.05973 | + | 1.05973i | 0.998099 | + | 0.0616338i | \(0.0196311\pi\) |
0.0616338 | + | 0.998099i | \(0.480369\pi\) | |||||||
\(774\) | 2.19457e12 | + | 2.19457e12i | 0.219794 | + | 0.219794i | ||||
\(775\) | −1.58913e13 | + | 6.58241e12i | −1.58235 | + | 0.655431i | ||||
\(776\) | −5.81099e12 | − | 1.40290e13i | −0.575271 | − | 1.38883i | ||||
\(777\) | 9.05088e11 | + | 3.74900e11i | 0.0890833 | + | 0.0368995i | ||||
\(778\) | 1.05123e13i | 1.02871i | ||||||||
\(779\) | 2.64109e12 | − | 6.37616e12i | 0.256960 | − | 0.620355i | ||||
\(780\) | −7.13525e12 | + | 7.13525e12i | −0.690213 | + | 0.690213i | ||||
\(781\) | −1.79125e12 | −0.172277 | ||||||||
\(782\) | 1.33625e13 | + | 1.79396e12i | 1.27778 | + | 0.171547i | ||||
\(783\) | −2.26021e12 | −0.214892 | ||||||||
\(784\) | 1.25201e12 | − | 1.25201e12i | 0.118355 | − | 0.118355i | ||||
\(785\) | −1.95639e12 | + | 4.72315e12i | −0.183883 | + | 0.443934i | ||||
\(786\) | 1.02524e12i | 0.0958131i | ||||||||
\(787\) | 6.77675e12 | + | 2.80702e12i | 0.629703 | + | 0.260831i | 0.674627 | − | 0.738159i | \(-0.264305\pi\) |
−0.0449241 | + | 0.998990i | \(0.514305\pi\) | |||||||
\(788\) | 1.54226e12 | + | 3.72335e12i | 0.142492 | + | 0.344006i | ||||
\(789\) | 1.45223e12 | − | 6.01533e11i | 0.133410 | − | 0.0552603i | ||||
\(790\) | −2.46227e13 | − | 2.46227e13i | −2.24913 | − | 2.24913i | ||||
\(791\) | −1.35870e13 | − | 1.35870e13i | −1.23404 | − | 1.23404i | ||||
\(792\) | 1.01868e13 | − | 4.21953e12i | 0.919976 | − | 0.381066i | ||||
\(793\) | 3.37493e12 | + | 8.14779e12i | 0.303064 | + | 0.731662i | ||||
\(794\) | 2.05689e13 | + | 8.51991e12i | 1.83662 | + | 0.760751i | ||||
\(795\) | 1.14246e12i | 0.101435i | ||||||||
\(796\) | 2.59536e12 | − | 6.26576e12i | 0.229134 | − | 0.553178i | ||||
\(797\) | 4.06922e12 | − | 4.06922e12i | 0.357230 | − | 0.357230i | −0.505561 | − | 0.862791i | \(-0.668714\pi\) |
0.862791 | + | 0.505561i | \(0.168714\pi\) | |||||||
\(798\) | 3.59499e12 | 0.313823 | ||||||||
\(799\) | −2.19216e12 | − | 8.26569e12i | −0.190288 | − | 0.717494i | ||||
\(800\) | −2.59959e13 | −2.24388 | ||||||||
\(801\) | 1.19506e13 | − | 1.19506e13i | 1.02575 | − | 1.02575i | ||||
\(802\) | −3.37517e12 | + | 8.14839e12i | −0.288079 | + | 0.695484i | ||||
\(803\) | 9.02321e11i | 0.0765846i | ||||||||
\(804\) | 3.76238e12 | + | 1.55843e12i | 0.317549 | + | 0.131533i | ||||
\(805\) | −8.68504e12 | − | 2.09675e13i | −0.728938 | − | 1.75981i | ||||
\(806\) | 1.91928e13 | − | 7.94994e12i | 1.60189 | − | 0.663523i | ||||
\(807\) | 5.14971e10 | + | 5.14971e10i | 0.00427417 | + | 0.00427417i | ||||
\(808\) | 1.08649e13 | + | 1.08649e13i | 0.896757 | + | 0.896757i | ||||
\(809\) | 1.68462e13 | − | 6.97791e12i | 1.38272 | − | 0.572739i | 0.437509 | − | 0.899214i | \(-0.355861\pi\) |
0.945206 | + | 0.326475i | \(0.105861\pi\) | |||||||
\(810\) | −9.50046e12 | − | 2.29361e13i | −0.775464 | − | 1.87214i | ||||
\(811\) | 6.06645e11 | + | 2.51281e11i | 0.0492426 | + | 0.0203969i | 0.407169 | − | 0.913353i | \(-0.366516\pi\) |
−0.357926 | + | 0.933750i | \(0.616516\pi\) | |||||||
\(812\) | − | 9.75178e12i | − | 0.787194i | ||||||
\(813\) | 3.29324e11 | − | 7.95058e11i | 0.0264372 | − | 0.0638251i | ||||
\(814\) | 4.33982e12 | − | 4.33982e12i | 0.346467 | − | 0.346467i | ||||
\(815\) | −1.80977e13 | −1.43686 | ||||||||
\(816\) | −9.70852e10 | + | 7.23147e11i | −0.00766562 | + | 0.0570980i | ||||
\(817\) | 1.32406e12 | 0.103970 | ||||||||
\(818\) | 1.65430e13 | − | 1.65430e13i | 1.29189 | − | 1.29189i | ||||
\(819\) | −7.64116e12 | + | 1.84474e13i | −0.593447 | + | 1.43271i | ||||
\(820\) | 4.71404e13i | 3.64109i | ||||||||
\(821\) | −2.34428e13 | − | 9.71034e12i | −1.80080 | − | 0.745917i | −0.986126 | − | 0.166000i | \(-0.946915\pi\) |
−0.814676 | − | 0.579916i | \(-0.803085\pi\) | |||||||
\(822\) | −6.42838e11 | − | 1.55195e12i | −0.0491109 | − | 0.118564i | ||||
\(823\) | 1.43545e13 | − | 5.94584e12i | 1.09066 | − | 0.451766i | 0.236423 | − | 0.971650i | \(-0.424025\pi\) |
0.854237 | + | 0.519884i | \(0.174025\pi\) | |||||||
\(824\) | −2.86992e12 | − | 2.86992e12i | −0.216869 | − | 0.216869i | ||||
\(825\) | 7.14700e12 | + | 7.14700e12i | 0.537132 | + | 0.537132i | ||||
\(826\) | −5.58529e12 | + | 2.31350e12i | −0.417479 | + | 0.172926i | ||||
\(827\) | 5.82621e12 | + | 1.40657e13i | 0.433123 | + | 1.04565i | 0.978274 | + | 0.207314i | \(0.0664723\pi\) |
−0.545151 | + | 0.838338i | \(0.683528\pi\) | |||||||
\(828\) | −1.41054e13 | − | 5.84264e12i | −1.04291 | − | 0.431989i | ||||
\(829\) | 5.42650e12i | 0.399048i | 0.979893 | + | 0.199524i | \(0.0639395\pi\) | ||||
−0.979893 | + | 0.199524i | \(0.936060\pi\) | |||||||
\(830\) | 6.07657e12 | − | 1.46701e13i | 0.444434 | − | 1.07296i | ||||
\(831\) | −5.14442e11 | + | 5.14442e11i | −0.0374224 | + | 0.0374224i | ||||
\(832\) | 2.80696e13 | 2.03086 | ||||||||
\(833\) | 6.04594e12 | − | 1.04103e13i | 0.435072 | − | 0.749138i | ||||
\(834\) | −5.91014e12 | −0.423010 | ||||||||
\(835\) | 3.29421e11 | − | 3.29421e11i | 0.0234510 | − | 0.0234510i | ||||
\(836\) | 5.20950e12 | − | 1.25768e13i | 0.368865 | − | 0.890519i | ||||
\(837\) | − | 7.08205e12i | − | 0.498763i | ||||||
\(838\) | −8.92929e12 | − | 3.69863e12i | −0.625488 | − | 0.259085i | ||||
\(839\) | −2.10729e12 | − | 5.08744e12i | −0.146823 | − | 0.354463i | 0.833309 | − | 0.552807i | \(-0.186443\pi\) |
−0.980132 | + | 0.198345i | \(0.936443\pi\) | |||||||
\(840\) | −7.83927e12 | + | 3.24713e12i | −0.543274 | + | 0.225031i | ||||
\(841\) | −8.79930e12 | − | 8.79930e12i | −0.606549 | − | 0.606549i | ||||
\(842\) | 1.19883e13 | + | 1.19883e13i | 0.821968 | + | 0.821968i | ||||
\(843\) | 2.81174e12 | − | 1.16466e12i | 0.191757 | − | 0.0794282i | ||||
\(844\) | 1.09861e13 | + | 2.65227e13i | 0.745250 | + | 1.79919i | ||||
\(845\) | −1.30035e13 | − | 5.38623e12i | −0.877415 | − | 0.363437i | ||||
\(846\) | 1.60212e13i | 1.07530i | ||||||||
\(847\) | −5.44173e12 | + | 1.31375e13i | −0.363297 | + | 0.877076i | ||||
\(848\) | 4.07001e11 | − | 4.07001e11i | 0.0270280 | − | 0.0270280i | ||||
\(849\) | −2.36679e12 | −0.156342 | ||||||||
\(850\) | −4.57680e13 | + | 1.21382e13i | −3.00730 | + | 0.797571i | ||||
\(851\) | −2.93660e12 | −0.191938 | ||||||||
\(852\) | 6.55714e11 | − | 6.55714e11i | 0.0426321 | − | 0.0426321i | ||||
\(853\) | −6.25375e12 | + | 1.50979e13i | −0.404455 | + | 0.976441i | 0.582116 | + | 0.813106i | \(0.302225\pi\) |
−0.986571 | + | 0.163335i | \(0.947775\pi\) | |||||||
\(854\) | 2.14609e13i | 1.38066i | ||||||||
\(855\) | −1.09589e13 | − | 4.53931e12i | −0.701324 | − | 0.290498i | ||||
\(856\) | −9.87700e12 | − | 2.38452e13i | −0.628772 | − | 1.51799i | ||||
\(857\) | −1.49994e13 | + | 6.21296e12i | −0.949862 | + | 0.393446i | −0.803179 | − | 0.595738i | \(-0.796860\pi\) |
−0.146683 | + | 0.989184i | \(0.546860\pi\) | |||||||
\(858\) | −8.63182e12 | − | 8.63182e12i | −0.543763 | − | 0.543763i | ||||
\(859\) | 1.03859e13 | + | 1.03859e13i | 0.650841 | + | 0.650841i | 0.953196 | − | 0.302355i | \(-0.0977727\pi\) |
−0.302355 | + | 0.953196i | \(0.597773\pi\) | |||||||
\(860\) | −8.35553e12 | + | 3.46098e12i | −0.520872 | + | 0.215752i | ||||
\(861\) | −3.48349e12 | − | 8.40990e12i | −0.216023 | − | 0.521527i | ||||
\(862\) | −1.91561e13 | − | 7.93474e12i | −1.18175 | − | 0.489497i | ||||
\(863\) | 2.11075e13i | 1.29536i | 0.761914 | + | 0.647678i | \(0.224260\pi\) | ||||
−0.761914 | + | 0.647678i | \(0.775740\pi\) | |||||||
\(864\) | 4.09599e12 | − | 9.88859e12i | 0.250061 | − | 0.603702i | ||||
\(865\) | 2.91254e13 | − | 2.91254e13i | 1.76888 | − | 1.76888i | ||||
\(866\) | 3.04378e13 | 1.83900 | ||||||||
\(867\) | 6.22375e11 | + | 4.92170e12i | 0.0374081 | + | 0.295821i | ||||
\(868\) | 3.05558e13 | 1.82707 | ||||||||
\(869\) | 1.80043e13 | − | 1.80043e13i | 1.07099 | − | 1.07099i | ||||
\(870\) | 1.98800e12 | − | 4.79945e12i | 0.117647 | − | 0.284024i | ||||
\(871\) | 1.59649e13i | 0.939908i | ||||||||
\(872\) | −8.48869e12 | − | 3.51613e12i | −0.497183 | − | 0.205940i | ||||
\(873\) | −1.07145e13 | − | 2.58671e13i | −0.624322 | − | 1.50725i | ||||
\(874\) | −9.95595e12 | + | 4.12389e12i | −0.577140 | + | 0.239059i | ||||
\(875\) | 2.75582e13 | + | 2.75582e13i | 1.58933 | + | 1.58933i | ||||
\(876\) | −3.30308e11 | − | 3.30308e11i | −0.0189518 | − | 0.0189518i | ||||
\(877\) | 1.36693e12 | − | 5.66201e11i | 0.0780276 | − | 0.0323201i | −0.343328 | − | 0.939215i | \(-0.611554\pi\) |
0.421356 | + | 0.906895i | \(0.361554\pi\) | |||||||
\(878\) | −5.03048e12 | − | 1.21447e13i | −0.285683 | − | 0.689700i | ||||
\(879\) | 2.29944e12 | + | 9.52461e11i | 0.129919 | + | 0.0538143i | ||||
\(880\) | − | 7.69455e12i | − | 0.432525i | ||||||
\(881\) | 8.97571e11 | − | 2.16693e12i | 0.0501970 | − | 0.121186i | −0.896792 | − | 0.442453i | \(-0.854108\pi\) |
0.946989 | + | 0.321266i | \(0.104108\pi\) | |||||||
\(882\) | −1.59484e13 | + | 1.59484e13i | −0.887380 | + | 0.887380i | ||||
\(883\) | −2.30080e13 | −1.27367 | −0.636833 | − | 0.771001i | \(-0.719756\pi\) | ||||
−0.636833 | + | 0.771001i | \(0.719756\pi\) | |||||||
\(884\) | 3.34109e13 | − | 8.86095e12i | 1.84015 | − | 0.488028i | ||||
\(885\) | −1.94657e12 | −0.106666 | ||||||||
\(886\) | −2.99343e13 | + | 2.99343e13i | −1.63199 | + | 1.63199i | ||||
\(887\) | 7.85066e12 | − | 1.89532e13i | 0.425844 | − | 1.02808i | −0.554748 | − | 0.832018i | \(-0.687186\pi\) |
0.980592 | − | 0.196059i | \(-0.0628145\pi\) | |||||||
\(888\) | 1.09793e12i | 0.0592536i | ||||||||
\(889\) | 9.40904e12 | + | 3.89735e12i | 0.505228 | + | 0.209272i | ||||
\(890\) | 3.11811e13 | + | 7.52778e13i | 1.66585 | + | 4.02172i | ||||
\(891\) | 1.67711e13 | − | 6.94680e12i | 0.891478 | − | 0.369262i | ||||
\(892\) | −3.74808e13 | − | 3.74808e13i | −1.98229 | − | 1.98229i | ||||
\(893\) | 4.83309e12 | + | 4.83309e12i | 0.254328 | + | 0.254328i | ||||
\(894\) | 9.25996e12 | − | 3.83560e12i | 0.484831 | − | 0.200824i | ||||
\(895\) | 5.27678e12 | + | 1.27393e13i | 0.274894 | + | 0.663653i | ||||
\(896\) | 3.51847e13 | + | 1.45740e13i | 1.82376 | + | 0.755426i | ||||
\(897\) | 5.84084e12i | 0.301238i | ||||||||
\(898\) | −9.16400e12 | + | 2.21238e13i | −0.470264 | + | 1.13532i | ||||
\(899\) | −4.57096e12 | + | 4.57096e12i | −0.233394 | + | 0.233394i | ||||
\(900\) | 5.36199e13 | 2.72417 | ||||||||
\(901\) | 1.96540e12 | − | 3.38417e12i | 0.0993550 | − | 0.171077i | ||||
\(902\) | −5.70279e13 | −2.86852 | ||||||||
\(903\) | 1.23488e12 | − | 1.23488e12i | 0.0618060 | − | 0.0618060i | ||||
\(904\) | 8.24092e12 | − | 1.98954e13i | 0.410410 | − | 0.990817i | ||||
\(905\) | 1.43577e13i | 0.711485i | ||||||||
\(906\) | −1.05898e13 | − | 4.38644e12i | −0.522169 | − | 0.216289i | ||||
\(907\) | 5.00446e12 | + | 1.20818e13i | 0.245541 | + | 0.592789i | 0.997816 | − | 0.0660611i | \(-0.0210432\pi\) |
−0.752274 | + | 0.658850i | \(0.771043\pi\) | |||||||
\(908\) | −2.12548e13 | + | 8.80403e12i | −1.03770 | + | 0.429829i | ||||
\(909\) | 2.00331e13 | + | 2.00331e13i | 0.973218 | + | 0.973218i | ||||
\(910\) | −6.80695e13 | − | 6.80695e13i | −3.29053 | − | 3.29053i | ||||
\(911\) | −8.35314e12 | + | 3.45998e12i | −0.401806 | + | 0.166434i | −0.574429 | − | 0.818554i | \(-0.694776\pi\) |
0.172623 | + | 0.984988i | \(0.444776\pi\) | |||||||
\(912\) | −2.23175e11 | − | 5.38793e11i | −0.0106824 | − | 0.0257896i | ||||
\(913\) | 1.07269e13 | + | 4.44323e12i | 0.510924 | + | 0.211632i | ||||
\(914\) | − | 5.17228e13i | − | 2.45145i | ||||||
\(915\) | −2.64440e12 | + | 6.38414e12i | −0.124719 | + | 0.301098i | ||||
\(916\) | −8.18332e12 | + | 8.18332e12i | −0.384061 | + | 0.384061i | ||||
\(917\) | −5.91175e12 | −0.276092 | ||||||||
\(918\) | 2.59408e12 | − | 1.93222e13i | 0.120557 | − | 0.897977i | ||||
\(919\) | 1.21728e13 | 0.562951 | 0.281475 | − | 0.959568i | \(-0.409176\pi\) | ||||
0.281475 | + | 0.959568i | \(0.409176\pi\) | |||||||
\(920\) | 1.79852e13 | − | 1.79852e13i | 0.827694 | − | 0.827694i | ||||
\(921\) | −4.26630e12 | + | 1.02998e13i | −0.195381 | + | 0.471692i | ||||
\(922\) | − | 3.25157e13i | − | 1.48185i | ||||||
\(923\) | 3.35865e12 | + | 1.39120e12i | 0.152320 | + | 0.0630930i | ||||
\(924\) | −6.87112e12 | − | 1.65884e13i | −0.310101 | − | 0.748651i | ||||
\(925\) | 9.52832e12 | − | 3.94676e12i | 0.427936 | − | 0.177257i | ||||
\(926\) | −1.41054e13 | − | 1.41054e13i | −0.630427 | − | 0.630427i | ||||
\(927\) | −5.29167e12 | − | 5.29167e12i | −0.235360 | − | 0.235360i | ||||
\(928\) | −9.02606e12 | + | 3.73872e12i | −0.399514 | + | 0.165484i | ||||
\(929\) | 1.65659e13 | + | 3.99936e13i | 0.729700 | + | 1.76165i | 0.643595 | + | 0.765366i | \(0.277442\pi\) |
0.0861052 | + | 0.996286i | \(0.472558\pi\) | |||||||
\(930\) | 1.50384e13 | + | 6.22912e12i | 0.659218 | + | 0.273057i | ||||
\(931\) | 9.62227e12i | 0.419763i | ||||||||
\(932\) | −1.31196e13 | + | 3.16734e13i | −0.569571 | + | 1.37507i | ||||
\(933\) | 9.63661e12 | − | 9.63661e12i | 0.416348 | − | 0.416348i | ||||
\(934\) | 2.02059e13 | 0.868793 | ||||||||
\(935\) | −1.34113e13 | − | 5.05682e13i | −0.573875 | − | 2.16384i | ||||
\(936\) | −2.23778e13 | −0.952962 | ||||||||
\(937\) | −2.28996e13 | + | 2.28996e13i | −0.970511 | + | 0.970511i | −0.999577 | − | 0.0290665i | \(-0.990747\pi\) |
0.0290665 | + | 0.999577i | \(0.490747\pi\) | |||||||
\(938\) | −1.48672e13 | + | 3.58927e13i | −0.627072 | + | 1.51389i | ||||
\(939\) | − | 5.50733e12i | − | 0.231178i | ||||||
\(940\) | −4.31326e13 | − | 1.78661e13i | −1.80190 | − | 0.746371i | ||||
\(941\) | 4.94124e12 | + | 1.19292e13i | 0.205439 | + | 0.495973i | 0.992695 | − | 0.120653i | \(-0.0384989\pi\) |
−0.787256 | + | 0.616627i | \(0.788499\pi\) | |||||||
\(942\) | 2.95800e12 | − | 1.22524e12i | 0.122397 | − | 0.0506983i | ||||
\(943\) | 1.92943e13 | + | 1.92943e13i | 0.794561 | + | 0.794561i | ||||
\(944\) | 6.93464e11 | + | 6.93464e11i | 0.0284217 | + | 0.0284217i | ||||
\(945\) | −3.03192e13 | + | 1.25586e13i | −1.23673 | + | 0.512270i | ||||
\(946\) | −4.18689e12 | − | 1.01081e13i | −0.169974 | − | 0.410353i | ||||
\(947\) | 1.45969e13 | + | 6.04622e12i | 0.589773 | + | 0.244292i | 0.657553 | − | 0.753408i | \(-0.271592\pi\) |
−0.0677801 | + | 0.997700i | \(0.521592\pi\) | |||||||
\(948\) | 1.31815e13i | 0.530062i | ||||||||
\(949\) | 7.00799e11 | − | 1.69188e12i | 0.0280476 | − | 0.0677129i | ||||
\(950\) | 2.67614e13 | − | 2.67614e13i | 1.06599 | − | 1.06599i | ||||
\(951\) | −2.48642e12 | −0.0985740 | ||||||||
\(952\) | 2.88075e13 | + | 3.86751e12i | 1.13668 | + | 0.152604i | ||||
\(953\) | 2.14919e13 | 0.844026 | 0.422013 | − | 0.906590i | \(-0.361324\pi\) | ||||
0.422013 | + | 0.906590i | \(0.361324\pi\) | |||||||
\(954\) | −5.18449e12 | + | 5.18449e12i | −0.202646 | + | 0.202646i | ||||
\(955\) | 2.94620e13 | − | 7.11275e13i | 1.14616 | − | 2.76709i | ||||
\(956\) | − | 2.25843e13i | − | 0.874472i | ||||||
\(957\) | 3.50939e12 | + | 1.45364e12i | 0.135247 | + | 0.0560212i | ||||
\(958\) | 6.26308e12 | + | 1.51204e13i | 0.240239 | + | 0.579988i | ||||
\(959\) | 8.94884e12 | − | 3.70673e12i | 0.341651 | − | 0.141517i | ||||
\(960\) | 1.55519e13 | + | 1.55519e13i | 0.590967 | + | 0.590967i | ||||
\(961\) | 4.37315e12 | + | 4.37315e12i | 0.165401 | + | 0.165401i | ||||
\(962\) | −1.15079e13 | + | 4.76672e12i | −0.433219 | + | 0.179445i | ||||
\(963\) | −1.82116e13 | − | 4.39666e13i | −0.682384 | − | 1.64742i | ||||
\(964\) | 6.83746e13 | + | 2.83217e13i | 2.55005 | + | 1.05626i | ||||
\(965\) | − | 1.48366e13i | − | 0.550757i | ||||||
\(966\) | −5.43925e12 | + | 1.31315e13i | −0.200975 | + | 0.485196i | ||||
\(967\) | −2.60418e13 | + | 2.60418e13i | −0.957749 | + | 0.957749i | −0.999143 | − | 0.0413937i | \(-0.986820\pi\) |
0.0413937 | + | 0.999143i | \(0.486820\pi\) | |||||||
\(968\) | −1.59366e13 | −0.583386 | ||||||||
\(969\) | −2.40579e12 | − | 3.15193e12i | −0.0876598 | − | 0.114847i | ||||
\(970\) | 1.34983e14 | 4.89562 | ||||||||
\(971\) | −1.94641e13 | + | 1.94641e13i | −0.702666 | + | 0.702666i | −0.964982 | − | 0.262316i | \(-0.915514\pi\) |
0.262316 | + | 0.964982i | \(0.415514\pi\) | |||||||
\(972\) | −1.28693e13 | + | 3.10691e13i | −0.462440 | + | 1.11643i | ||||
\(973\) | − | 3.40791e13i | − | 1.21893i | ||||||
\(974\) | 1.57282e12 | + | 6.51481e11i | 0.0559967 | + | 0.0231946i | ||||
\(975\) | −7.85003e12 | − | 1.89516e13i | −0.278196 | − | 0.671624i | ||||
\(976\) | 3.21642e12 | − | 1.33228e12i | 0.113461 | − | 0.0469972i | ||||
\(977\) | −2.74479e13 | − | 2.74479e13i | −0.963794 | − | 0.963794i | 0.0355735 | − | 0.999367i | \(-0.488674\pi\) |
−0.999367 | + | 0.0355735i | \(0.988674\pi\) | |||||||
\(978\) | 8.01449e12 | + | 8.01449e12i | 0.280124 | + | 0.280124i | ||||
\(979\) | −5.50437e13 | + | 2.27998e13i | −1.91507 | + | 0.793249i | ||||
\(980\) | −2.51517e13 | − | 6.07216e13i | −0.871064 | − | 2.10293i | ||||
\(981\) | −1.56517e13 | − | 6.48317e12i | −0.539576 | − | 0.223500i | ||||
\(982\) | − | 7.41756e13i | − | 2.54542i | ||||||
\(983\) | −7.33299e12 | + | 1.77034e13i | −0.250490 | + | 0.604736i | −0.998244 | − | 0.0592398i | \(-0.981132\pi\) |
0.747754 | + | 0.663976i | \(0.231132\pi\) | |||||||
\(984\) | 7.21370e12 | − | 7.21370e12i | 0.245290 | − | 0.245290i | ||||
\(985\) | −1.23794e13 | −0.419023 | ||||||||
\(986\) | −1.41454e13 | + | 1.07968e13i | −0.476618 | + | 0.363790i | ||||
\(987\) | 9.01513e12 | 0.302374 | ||||||||
\(988\) | −1.95359e13 | + | 1.95359e13i | −0.652270 | + | 0.652270i | ||||
\(989\) | −2.00332e12 | + | 4.83644e12i | −0.0665835 | + | 0.160747i | ||||
\(990\) | 9.80153e13i | 3.24292i | ||||||||
\(991\) | −2.20741e12 | − | 9.14338e11i | −0.0727028 | − | 0.0301145i | 0.346036 | − | 0.938221i | \(-0.387528\pi\) |
−0.418738 | + | 0.908107i | \(0.637528\pi\) | |||||||
\(992\) | −1.17148e13 | − | 2.82819e13i | −0.384088 | − | 0.927270i | ||||
\(993\) | 6.03492e12 | − | 2.49974e12i | 0.196970 | − | 0.0815876i | ||||
\(994\) | 6.25544e12 | + | 6.25544e12i | 0.203245 | + | 0.203245i | ||||
\(995\) | 1.47308e13 | + | 1.47308e13i | 0.476455 | + | 0.476455i | ||||
\(996\) | −5.55326e12 | + | 2.30023e12i | −0.178805 | + | 0.0740636i | ||||
\(997\) | 9.33151e11 | + | 2.25283e12i | 0.0299105 | + | 0.0722103i | 0.938129 | − | 0.346286i | \(-0.112557\pi\) |
−0.908219 | + | 0.418496i | \(0.862557\pi\) | |||||||
\(998\) | −4.69116e12 | − | 1.94314e12i | −0.149690 | − | 0.0620037i | ||||
\(999\) | 4.24634e12i | 0.134887i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 17.10.d.a.8.2 | ✓ | 52 | |
17.7 | odd | 16 | 289.10.a.i.1.46 | 52 | |||
17.10 | odd | 16 | 289.10.a.i.1.45 | 52 | |||
17.15 | even | 8 | inner | 17.10.d.a.15.2 | yes | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.8.2 | ✓ | 52 | 1.1 | even | 1 | trivial | |
17.10.d.a.15.2 | yes | 52 | 17.15 | even | 8 | inner | |
289.10.a.i.1.45 | 52 | 17.10 | odd | 16 | |||
289.10.a.i.1.46 | 52 | 17.7 | odd | 16 |