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 | 15.5 | ||
Character | \(\chi\) | \(=\) | 17.15 |
Dual form | 17.10.d.a.8.5 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −12.2939 | − | 12.2939i | −0.543319 | − | 0.543319i | 0.381181 | − | 0.924500i | \(-0.375517\pi\) |
−0.924500 | + | 0.381181i | \(0.875517\pi\) | |||||||
\(3\) | 41.5316 | + | 100.266i | 0.296028 | + | 0.714675i | 0.999990 | + | 0.00443716i | \(0.00141240\pi\) |
−0.703962 | + | 0.710237i | \(0.748588\pi\) | |||||||
\(4\) | − | 209.719i | − | 0.409608i | ||||||
\(5\) | −793.507 | + | 328.681i | −0.567787 | + | 0.235185i | −0.648062 | − | 0.761588i | \(-0.724420\pi\) |
0.0802748 | + | 0.996773i | \(0.474420\pi\) | |||||||
\(6\) | 722.077 | − | 1743.25i | 0.227459 | − | 0.549134i | ||||
\(7\) | 7184.85 | + | 2976.06i | 1.13104 | + | 0.468491i | 0.868133 | − | 0.496332i | \(-0.165320\pi\) |
0.262903 | + | 0.964822i | \(0.415320\pi\) | |||||||
\(8\) | −8872.76 | + | 8872.76i | −0.765867 | + | 0.765867i | ||||
\(9\) | 5589.57 | − | 5589.57i | 0.283980 | − | 0.283980i | ||||
\(10\) | 13796.1 | + | 5714.52i | 0.436270 | + | 0.180709i | ||||
\(11\) | 36020.0 | − | 86960.0i | 0.741783 | − | 1.79082i | 0.143311 | − | 0.989678i | \(-0.454225\pi\) |
0.598472 | − | 0.801144i | \(-0.295775\pi\) | |||||||
\(12\) | 21027.7 | − | 8709.97i | 0.292736 | − | 0.121255i | ||||
\(13\) | − | 69059.4i | − | 0.670622i | −0.942108 | − | 0.335311i | \(-0.891159\pi\) | ||
0.942108 | − | 0.335311i | \(-0.108841\pi\) | |||||||
\(14\) | −51742.5 | − | 124917.i | −0.359974 | − | 0.869054i | ||||
\(15\) | −65911.1 | − | 65911.1i | −0.336162 | − | 0.336162i | ||||
\(16\) | 110785. | 0.422613 | ||||||||
\(17\) | 268634. | − | 215462.i | 0.780083 | − | 0.625676i | ||||
\(18\) | −137435. | −0.308583 | ||||||||
\(19\) | 567107. | + | 567107.i | 0.998330 | + | 0.998330i | 0.999999 | − | 0.00166876i | \(-0.000531184\pi\) |
−0.00166876 | + | 0.999999i | \(0.500531\pi\) | |||||||
\(20\) | 68930.8 | + | 166414.i | 0.0963337 | + | 0.232570i | ||||
\(21\) | 843997.i | 0.947009i | ||||||||
\(22\) | −1.51191e6 | + | 626252.i | −1.37601 | + | 0.569963i | ||||
\(23\) | 636421. | − | 1.53646e6i | 0.474209 | − | 1.14484i | −0.488077 | − | 0.872800i | \(-0.662302\pi\) |
0.962286 | − | 0.272040i | \(-0.0876984\pi\) | |||||||
\(24\) | −1.25814e6 | − | 521137.i | −0.774064 | − | 0.320628i | ||||
\(25\) | −859447. | + | 859447.i | −0.440037 | + | 0.440037i | ||||
\(26\) | −849010. | + | 849010.i | −0.364362 | + | 0.364362i | ||||
\(27\) | 2.76612e6 | + | 1.14577e6i | 1.00169 | + | 0.414915i | ||||
\(28\) | 624138. | − | 1.50680e6i | 0.191898 | − | 0.463282i | ||||
\(29\) | −4.94229e6 | + | 2.04716e6i | −1.29759 | + | 0.537479i | −0.921238 | − | 0.388998i | \(-0.872821\pi\) |
−0.376351 | + | 0.926477i | \(0.622821\pi\) | |||||||
\(30\) | 1.62061e6i | 0.365286i | ||||||||
\(31\) | −1.49259e6 | − | 3.60342e6i | −0.290277 | − | 0.700789i | 0.709717 | − | 0.704487i | \(-0.248823\pi\) |
−0.999993 | + | 0.00369775i | \(0.998823\pi\) | |||||||
\(32\) | 3.18086e6 | + | 3.18086e6i | 0.536254 | + | 0.536254i | ||||
\(33\) | 1.02151e7 | 1.49944 | ||||||||
\(34\) | −5.95143e6 | − | 653697.i | −0.763776 | − | 0.0838922i | ||||
\(35\) | −6.67940e6 | −0.752370 | ||||||||
\(36\) | −1.17224e6 | − | 1.17224e6i | −0.116320 | − | 0.116320i | ||||
\(37\) | 4.00274e6 | + | 9.66348e6i | 0.351115 | + | 0.847668i | 0.996483 | + | 0.0837955i | \(0.0267042\pi\) |
−0.645368 | + | 0.763872i | \(0.723296\pi\) | |||||||
\(38\) | − | 1.39439e7i | − | 1.08482i | ||||||
\(39\) | 6.92431e6 | − | 2.86814e6i | 0.479276 | − | 0.198523i | ||||
\(40\) | 4.12428e6 | − | 9.95690e6i | 0.254729 | − | 0.614970i | ||||
\(41\) | 1.02441e7 | + | 4.24324e6i | 0.566169 | + | 0.234515i | 0.647361 | − | 0.762184i | \(-0.275873\pi\) |
−0.0811920 | + | 0.996698i | \(0.525873\pi\) | |||||||
\(42\) | 1.03760e7 | − | 1.03760e7i | 0.514528 | − | 0.514528i | ||||
\(43\) | 8.66131e6 | − | 8.66131e6i | 0.386345 | − | 0.386345i | −0.487037 | − | 0.873382i | \(-0.661922\pi\) |
0.873382 | + | 0.487037i | \(0.161922\pi\) | |||||||
\(44\) | −1.82372e7 | − | 7.55409e6i | −0.733535 | − | 0.303840i | ||||
\(45\) | −2.59817e6 | + | 6.27255e6i | −0.0944522 | + | 0.228028i | ||||
\(46\) | −2.67132e7 | + | 1.10650e7i | −0.879661 | + | 0.364367i | ||||
\(47\) | − | 1.96866e7i | − | 0.588478i | −0.955732 | − | 0.294239i | \(-0.904934\pi\) | ||
0.955732 | − | 0.294239i | \(-0.0950661\pi\) | |||||||
\(48\) | 4.60109e6 | + | 1.11080e7i | 0.125105 | + | 0.302031i | ||||
\(49\) | 1.42308e7 | + | 1.42308e7i | 0.352653 | + | 0.352653i | ||||
\(50\) | 2.11319e7 | 0.478161 | ||||||||
\(51\) | 3.27603e7 | + | 1.79864e7i | 0.678081 | + | 0.372288i | ||||
\(52\) | −1.44831e7 | −0.274692 | ||||||||
\(53\) | −5.00580e7 | − | 5.00580e7i | −0.871429 | − | 0.871429i | 0.121200 | − | 0.992628i | \(-0.461326\pi\) |
−0.992628 | + | 0.121200i | \(0.961326\pi\) | |||||||
\(54\) | −1.99205e7 | − | 4.80925e7i | −0.318808 | − | 0.769671i | ||||
\(55\) | 8.08424e7i | 1.19126i | ||||||||
\(56\) | −9.01553e7 | + | 3.73435e7i | −1.22503 | + | 0.507422i | ||||
\(57\) | −3.33088e7 | + | 8.04145e7i | −0.417947 | + | 1.00901i | ||||
\(58\) | 8.59277e7 | + | 3.55924e7i | 0.997028 | + | 0.412983i | ||||
\(59\) | −3.24953e7 | + | 3.24953e7i | −0.349129 | + | 0.349129i | −0.859785 | − | 0.510656i | \(-0.829403\pi\) |
0.510656 | + | 0.859785i | \(0.329403\pi\) | |||||||
\(60\) | −1.38228e7 | + | 1.38228e7i | −0.137695 | + | 0.137695i | ||||
\(61\) | 5.98943e7 | + | 2.48090e7i | 0.553862 | + | 0.229417i | 0.642018 | − | 0.766690i | \(-0.278097\pi\) |
−0.0881561 | + | 0.996107i | \(0.528097\pi\) | |||||||
\(62\) | −2.59504e7 | + | 6.26499e7i | −0.223040 | + | 0.538465i | ||||
\(63\) | 5.67951e7 | − | 2.35253e7i | 0.454233 | − | 0.188149i | ||||
\(64\) | − | 1.34933e8i | − | 1.00533i | ||||||
\(65\) | 2.26985e7 | + | 5.47991e7i | 0.157720 | + | 0.380770i | ||||
\(66\) | −1.25584e8 | − | 1.25584e8i | −0.814676 | − | 0.814676i | ||||
\(67\) | 5.04019e7 | 0.305570 | 0.152785 | − | 0.988259i | \(-0.451176\pi\) | ||||
0.152785 | + | 0.988259i | \(0.451176\pi\) | |||||||
\(68\) | −4.51865e7 | − | 5.63377e7i | −0.256282 | − | 0.319528i | ||||
\(69\) | 1.80486e8 | 0.958567 | ||||||||
\(70\) | 8.21160e7 | + | 8.21160e7i | 0.408777 | + | 0.408777i | ||||
\(71\) | −1.12991e8 | − | 2.72785e8i | −0.527693 | − | 1.27396i | −0.933031 | − | 0.359797i | \(-0.882846\pi\) |
0.405337 | − | 0.914167i | \(-0.367154\pi\) | |||||||
\(72\) | 9.91898e7i | 0.434981i | ||||||||
\(73\) | −6.12788e7 | + | 2.53825e7i | −0.252556 | + | 0.104612i | −0.505370 | − | 0.862903i | \(-0.668644\pi\) |
0.252814 | + | 0.967515i | \(0.418644\pi\) | |||||||
\(74\) | 6.95926e7 | − | 1.68011e8i | 0.269786 | − | 0.651322i | ||||
\(75\) | −1.21867e8 | − | 5.04792e7i | −0.444746 | − | 0.184220i | ||||
\(76\) | 1.18933e8 | − | 1.18933e8i | 0.408924 | − | 0.408924i | ||||
\(77\) | 5.17597e8 | − | 5.17597e8i | 1.67797 | − | 1.67797i | ||||
\(78\) | −1.20388e8 | − | 4.98662e7i | −0.368261 | − | 0.152539i | ||||
\(79\) | −1.82078e8 | + | 4.39575e8i | −0.525939 | + | 1.26973i | 0.408223 | + | 0.912882i | \(0.366148\pi\) |
−0.934163 | + | 0.356848i | \(0.883852\pi\) | |||||||
\(80\) | −8.79090e7 | + | 3.64131e7i | −0.239954 | + | 0.0993923i | ||||
\(81\) | 1.69343e8i | 0.437103i | ||||||||
\(82\) | −7.37739e7 | − | 1.78106e8i | −0.180194 | − | 0.435027i | ||||
\(83\) | 2.01989e8 | + | 2.01989e8i | 0.467172 | + | 0.467172i | 0.900997 | − | 0.433825i | \(-0.142836\pi\) |
−0.433825 | + | 0.900997i | \(0.642836\pi\) | |||||||
\(84\) | 1.77003e8 | 0.387903 | ||||||||
\(85\) | −1.42345e8 | + | 2.59265e8i | −0.295771 | + | 0.538715i | ||||
\(86\) | −2.12963e8 | −0.419818 | ||||||||
\(87\) | −4.10522e8 | − | 4.10522e8i | −0.768245 | − | 0.768245i | ||||
\(88\) | 4.51978e8 | + | 1.09117e9i | 0.803425 | + | 1.93964i | ||||
\(89\) | 7.06114e8i | 1.19294i | 0.802634 | + | 0.596471i | \(0.203431\pi\) | ||||
−0.802634 | + | 0.596471i | \(0.796569\pi\) | |||||||
\(90\) | 1.09056e8 | − | 4.51724e7i | 0.175210 | − | 0.0725742i | ||||
\(91\) | 2.05525e8 | − | 4.96181e8i | 0.314180 | − | 0.758497i | ||||
\(92\) | −3.22225e8 | − | 1.33470e8i | −0.468936 | − | 0.194240i | ||||
\(93\) | 2.99312e8 | − | 2.99312e8i | 0.414906 | − | 0.414906i | ||||
\(94\) | −2.42025e8 | + | 2.42025e8i | −0.319731 | + | 0.319731i | ||||
\(95\) | −6.36401e8 | − | 2.63606e8i | −0.801631 | − | 0.332046i | ||||
\(96\) | −1.86826e8 | + | 4.51039e8i | −0.224501 | + | 0.541993i | ||||
\(97\) | −8.43523e8 | + | 3.49399e8i | −0.967440 | + | 0.400727i | −0.809759 | − | 0.586763i | \(-0.800402\pi\) |
−0.157682 | + | 0.987490i | \(0.550402\pi\) | |||||||
\(98\) | − | 3.49905e8i | − | 0.383206i | ||||||
\(99\) | −2.84733e8 | − | 6.87405e8i | −0.297906 | − | 0.719208i | ||||
\(100\) | 1.80243e8 | + | 1.80243e8i | 0.180243 | + | 0.180243i | ||||
\(101\) | 1.09424e6 | 0.00104632 | 0.000523160 | − | 1.00000i | \(-0.499833\pi\) | ||||
0.000523160 | 1.00000i | \(0.499833\pi\) | ||||||||
\(102\) | −1.81628e8 | − | 6.23875e8i | −0.166143 | − | 0.570686i | ||||
\(103\) | 1.13364e9 | 0.992451 | 0.496226 | − | 0.868194i | \(-0.334719\pi\) | ||||
0.496226 | + | 0.868194i | \(0.334719\pi\) | |||||||
\(104\) | 6.12747e8 | + | 6.12747e8i | 0.513607 | + | 0.513607i | ||||
\(105\) | −2.77406e8 | − | 6.69717e8i | −0.222722 | − | 0.537700i | ||||
\(106\) | 1.23082e9i | 0.946928i | ||||||||
\(107\) | −1.00058e9 | + | 4.14455e8i | −0.737948 | + | 0.305668i | −0.719813 | − | 0.694168i | \(-0.755773\pi\) |
−0.0181343 | + | 0.999836i | \(0.505773\pi\) | |||||||
\(108\) | 2.40289e8 | − | 5.80110e8i | 0.169953 | − | 0.410302i | ||||
\(109\) | −152635. | − | 63223.4i | −0.000103570 | − | 4.29001e-5i | 0.382632 | − | 0.923901i | \(-0.375018\pi\) |
−0.382735 | + | 0.923858i | \(0.625018\pi\) | |||||||
\(110\) | 9.93870e8 | − | 9.93870e8i | 0.647235 | − | 0.647235i | ||||
\(111\) | −8.02679e8 | + | 8.02679e8i | −0.501867 | + | 0.501867i | ||||
\(112\) | 7.95977e8 | + | 3.29705e8i | 0.477991 | + | 0.197990i | ||||
\(113\) | 2.62058e8 | − | 6.32663e8i | 0.151197 | − | 0.365023i | −0.830074 | − | 0.557653i | \(-0.811702\pi\) |
0.981271 | + | 0.192631i | \(0.0617019\pi\) | |||||||
\(114\) | 1.39810e9 | − | 5.79113e8i | 0.775296 | − | 0.321138i | ||||
\(115\) | 1.42837e9i | 0.761553i | ||||||||
\(116\) | 4.29330e8 | + | 1.03649e9i | 0.220156 | + | 0.531503i | ||||
\(117\) | −3.86012e8 | − | 3.86012e8i | −0.190443 | − | 0.190443i | ||||
\(118\) | 7.98988e8 | 0.379377 | ||||||||
\(119\) | 2.57132e9 | − | 7.48587e8i | 1.17543 | − | 0.342201i | ||||
\(120\) | 1.16963e9 | 0.514910 | ||||||||
\(121\) | −4.59728e9 | − | 4.59728e9i | −1.94969 | − | 1.94969i | ||||
\(122\) | −4.31336e8 | − | 1.04134e9i | −0.176277 | − | 0.425571i | ||||
\(123\) | 1.20336e9i | 0.474049i | ||||||||
\(124\) | −7.55707e8 | + | 3.13024e8i | −0.287049 | + | 0.118900i | ||||
\(125\) | 1.04145e9 | − | 2.51428e9i | 0.381542 | − | 0.921124i | ||||
\(126\) | −9.87453e8 | − | 4.09016e8i | −0.349019 | − | 0.144568i | ||||
\(127\) | −1.96126e8 | + | 1.96126e8i | −0.0668989 | + | 0.0668989i | −0.739765 | − | 0.672866i | \(-0.765063\pi\) |
0.672866 | + | 0.739765i | \(0.265063\pi\) | |||||||
\(128\) | −3.02488e7 | + | 3.02488e7i | −0.00996009 | + | 0.00996009i | ||||
\(129\) | 1.22815e9 | + | 5.08718e8i | 0.390480 | + | 0.161742i | ||||
\(130\) | 3.94641e8 | − | 9.52749e8i | 0.121187 | − | 0.292572i | ||||
\(131\) | −2.22414e9 | + | 9.21267e8i | −0.659843 | + | 0.273316i | −0.687372 | − | 0.726305i | \(-0.741236\pi\) |
0.0275296 | + | 0.999621i | \(0.491236\pi\) | |||||||
\(132\) | − | 2.14230e9i | − | 0.614184i | ||||||
\(133\) | 2.38683e9 | + | 5.76233e9i | 0.661439 | + | 1.59686i | ||||
\(134\) | −6.19637e8 | − | 6.19637e8i | −0.166022 | − | 0.166022i | ||||
\(135\) | −2.57153e9 | −0.666330 | ||||||||
\(136\) | −4.71786e8 | + | 4.29526e9i | −0.118255 | + | 1.07663i | ||||
\(137\) | 8.47234e8 | 0.205476 | 0.102738 | − | 0.994708i | \(-0.467240\pi\) | ||||
0.102738 | + | 0.994708i | \(0.467240\pi\) | |||||||
\(138\) | −2.21888e9 | − | 2.21888e9i | −0.520808 | − | 0.520808i | ||||
\(139\) | 2.25467e9 | + | 5.44325e9i | 0.512290 | + | 1.23678i | 0.942548 | + | 0.334072i | \(0.108423\pi\) |
−0.430257 | + | 0.902706i | \(0.641577\pi\) | |||||||
\(140\) | 1.40080e9i | 0.308177i | ||||||||
\(141\) | 1.97390e9 | − | 8.17615e8i | 0.420570 | − | 0.174206i | ||||
\(142\) | −1.96449e9 | + | 4.74269e9i | −0.405464 | + | 0.978876i | ||||
\(143\) | −6.00540e9 | − | 2.48752e9i | −1.20096 | − | 0.497455i | ||||
\(144\) | 6.19243e8 | − | 6.19243e8i | 0.120014 | − | 0.120014i | ||||
\(145\) | 3.24888e9 | − | 3.24888e9i | 0.610347 | − | 0.610347i | ||||
\(146\) | 1.06541e9 | + | 4.41306e8i | 0.194056 | + | 0.0803808i | ||||
\(147\) | −8.35840e8 | + | 2.01790e9i | −0.147637 | + | 0.356427i | ||||
\(148\) | 2.02662e9 | − | 8.39453e8i | 0.347212 | − | 0.143820i | ||||
\(149\) | 2.49054e9i | 0.413958i | 0.978345 | + | 0.206979i | \(0.0663632\pi\) | ||||
−0.978345 | + | 0.206979i | \(0.933637\pi\) | |||||||
\(150\) | 8.77642e8 | + | 2.11881e9i | 0.141549 | + | 0.341729i | ||||
\(151\) | 4.40811e9 | + | 4.40811e9i | 0.690011 | + | 0.690011i | 0.962234 | − | 0.272223i | \(-0.0877588\pi\) |
−0.272223 | + | 0.962234i | \(0.587759\pi\) | |||||||
\(152\) | −1.00636e10 | −1.52918 | ||||||||
\(153\) | 2.97211e8 | − | 2.70589e9i | 0.0438484 | − | 0.399207i | ||||
\(154\) | −1.27266e10 | −1.82334 | ||||||||
\(155\) | 2.36875e9 | + | 2.36875e9i | 0.329631 | + | 0.329631i | ||||
\(156\) | −6.01505e8 | − | 1.45216e9i | −0.0813165 | − | 0.196315i | ||||
\(157\) | − | 2.04937e9i | − | 0.269198i | −0.990900 | − | 0.134599i | \(-0.957025\pi\) | ||
0.990900 | − | 0.134599i | \(-0.0429747\pi\) | |||||||
\(158\) | 7.64255e9 | − | 3.16565e9i | 0.975622 | − | 0.404116i | ||||
\(159\) | 2.94013e9 | − | 7.09810e9i | 0.364821 | − | 0.880755i | ||||
\(160\) | −3.56953e9 | − | 1.47855e9i | −0.430597 | − | 0.178359i | ||||
\(161\) | 9.14518e9 | − | 9.14518e9i | 1.07269 | − | 1.07269i | ||||
\(162\) | 2.08189e9 | − | 2.08189e9i | 0.237487 | − | 0.237487i | ||||
\(163\) | 1.41464e10 | + | 5.85965e9i | 1.56965 | + | 0.650171i | 0.986732 | − | 0.162359i | \(-0.0519102\pi\) |
0.582920 | + | 0.812530i | \(0.301910\pi\) | |||||||
\(164\) | 8.89890e8 | − | 2.14838e9i | 0.0960592 | − | 0.231907i | ||||
\(165\) | −8.10575e9 | + | 3.35751e9i | −0.851364 | + | 0.352647i | ||||
\(166\) | − | 4.96648e9i | − | 0.507647i | ||||||
\(167\) | 3.36501e8 | + | 8.12385e8i | 0.0334782 | + | 0.0808236i | 0.939734 | − | 0.341905i | \(-0.111072\pi\) |
−0.906256 | + | 0.422729i | \(0.861072\pi\) | |||||||
\(168\) | −7.48858e9 | − | 7.48858e9i | −0.725283 | − | 0.725283i | ||||
\(169\) | 5.83530e9 | 0.550267 | ||||||||
\(170\) | 4.93736e9 | − | 1.43741e9i | 0.453392 | − | 0.131996i | ||||
\(171\) | 6.33977e9 | 0.567011 | ||||||||
\(172\) | −1.81644e9 | − | 1.81644e9i | −0.158250 | − | 0.158250i | ||||
\(173\) | −7.31181e8 | − | 1.76523e9i | −0.0620608 | − | 0.149828i | 0.889807 | − | 0.456337i | \(-0.150839\pi\) |
−0.951868 | + | 0.306509i | \(0.900839\pi\) | |||||||
\(174\) | 1.00938e10i | 0.834805i | ||||||||
\(175\) | −8.73276e9 | + | 3.61723e9i | −0.703850 | + | 0.291544i | ||||
\(176\) | 3.99049e9 | − | 9.63390e9i | 0.313487 | − | 0.756825i | ||||
\(177\) | −4.60775e9 | − | 1.90859e9i | −0.352866 | − | 0.146162i | ||||
\(178\) | 8.68090e9 | − | 8.68090e9i | 0.648149 | − | 0.648149i | ||||
\(179\) | −1.45188e10 | + | 1.45188e10i | −1.05704 | + | 1.05704i | −0.0587698 | + | 0.998272i | \(0.518718\pi\) |
−0.998272 | + | 0.0587698i | \(0.981282\pi\) | |||||||
\(180\) | 1.31547e9 | + | 5.44887e8i | 0.0934020 | + | 0.0386884i | ||||
\(181\) | 5.04127e9 | − | 1.21707e10i | 0.349129 | − | 0.842872i | −0.647594 | − | 0.761985i | \(-0.724225\pi\) |
0.996723 | − | 0.0808867i | \(-0.0257752\pi\) | |||||||
\(182\) | −8.62672e9 | + | 3.57330e9i | −0.582806 | + | 0.241406i | ||||
\(183\) | 7.03573e9i | 0.463745i | ||||||||
\(184\) | 7.98579e9 | + | 1.92794e10i | 0.513615 | + | 1.23998i | ||||
\(185\) | −6.35241e9 | − | 6.35241e9i | −0.398718 | − | 0.398718i | ||||
\(186\) | −7.35942e9 | −0.450853 | ||||||||
\(187\) | −9.06033e9 | − | 3.11213e10i | −0.541822 | − | 1.86110i | ||||
\(188\) | −4.12866e9 | −0.241045 | ||||||||
\(189\) | 1.64643e10 | + | 1.64643e10i | 0.938568 | + | 0.938568i | ||||
\(190\) | 4.58311e9 | + | 1.10646e10i | 0.255134 | + | 0.615949i | ||||
\(191\) | 2.69258e10i | 1.46392i | 0.681345 | + | 0.731962i | \(0.261395\pi\) | ||||
−0.681345 | + | 0.731962i | \(0.738605\pi\) | |||||||
\(192\) | 1.35292e10 | − | 5.60397e9i | 0.718482 | − | 0.297605i | ||||
\(193\) | −6.07148e9 | + | 1.46578e10i | −0.314983 | + | 0.760435i | 0.684523 | + | 0.728991i | \(0.260011\pi\) |
−0.999506 | + | 0.0314438i | \(0.989989\pi\) | |||||||
\(194\) | 1.46657e10 | + | 6.07472e9i | 0.743352 | + | 0.307906i | ||||
\(195\) | −4.55178e9 | + | 4.55178e9i | −0.225437 | + | 0.225437i | ||||
\(196\) | 2.98448e9 | − | 2.98448e9i | 0.144450 | − | 0.144450i | ||||
\(197\) | −5.41819e9 | − | 2.24429e9i | −0.256304 | − | 0.106165i | 0.250832 | − | 0.968031i | \(-0.419296\pi\) |
−0.507136 | + | 0.861866i | \(0.669296\pi\) | |||||||
\(198\) | −4.95042e9 | + | 1.19514e10i | −0.228902 | + | 0.552618i | ||||
\(199\) | −2.98791e10 | + | 1.23763e10i | −1.35060 | + | 0.559439i | −0.936461 | − | 0.350773i | \(-0.885919\pi\) |
−0.414144 | + | 0.910212i | \(0.635919\pi\) | |||||||
\(200\) | − | 1.52513e10i | − | 0.674019i | ||||||
\(201\) | 2.09327e9 | + | 5.05360e9i | 0.0904571 | + | 0.218383i | ||||
\(202\) | −1.34524e7 | − | 1.34524e7i | −0.000568486 | − | 0.000568486i | ||||
\(203\) | −4.16021e10 | −1.71942 | ||||||||
\(204\) | 3.77210e9 | − | 6.87046e9i | 0.152492 | − | 0.277748i | ||||
\(205\) | −9.52343e9 | −0.376618 | ||||||||
\(206\) | −1.39369e10 | − | 1.39369e10i | −0.539218 | − | 0.539218i | ||||
\(207\) | −5.03081e9 | − | 1.21455e10i | −0.190446 | − | 0.459777i | ||||
\(208\) | − | 7.65078e9i | − | 0.283413i | ||||||
\(209\) | 6.97428e10 | − | 2.88884e10i | 2.52837 | − | 1.04729i | ||||
\(210\) | −4.82304e9 | + | 1.16439e10i | −0.171133 | + | 0.413152i | ||||
\(211\) | 2.44637e10 | + | 1.01332e10i | 0.849672 | + | 0.351946i | 0.764660 | − | 0.644434i | \(-0.222907\pi\) |
0.0850120 | + | 0.996380i | \(0.472907\pi\) | |||||||
\(212\) | −1.04981e10 | + | 1.04981e10i | −0.356944 | + | 0.356944i | ||||
\(213\) | 2.26583e10 | − | 2.26583e10i | 0.754258 | − | 0.754258i | ||||
\(214\) | 1.73963e10 | + | 7.20580e9i | 0.567017 | + | 0.234866i | ||||
\(215\) | −4.02600e9 | + | 9.71961e9i | −0.128499 | + | 0.310224i | ||||
\(216\) | −3.47093e10 | + | 1.43770e10i | −1.08493 | + | 0.449394i | ||||
\(217\) | − | 3.03321e10i | − | 0.928610i | ||||||
\(218\) | 1.09922e6 | + | 2.65374e6i | 3.29632e−5 | + | 7.95801e-5i | ||||
\(219\) | −5.09001e9 | − | 5.09001e9i | −0.149527 | − | 0.149527i | ||||
\(220\) | 1.69542e10 | 0.487950 | ||||||||
\(221\) | −1.48796e10 | − | 1.85517e10i | −0.419592 | − | 0.523140i | ||||
\(222\) | 1.97361e10 | 0.545348 | ||||||||
\(223\) | −4.35511e10 | − | 4.35511e10i | −1.17931 | − | 1.17931i | −0.979921 | − | 0.199388i | \(-0.936105\pi\) |
−0.199388 | − | 0.979921i | \(-0.563895\pi\) | |||||||
\(224\) | 1.33876e10 | + | 3.23205e10i | 0.355292 | + | 0.857752i | ||||
\(225\) | 9.60788e9i | 0.249923i | ||||||||
\(226\) | −1.09996e10 | + | 4.55619e9i | −0.280472 | + | 0.116175i | ||||
\(227\) | −1.47777e10 | + | 3.56766e10i | −0.369395 | + | 0.891799i | 0.624454 | + | 0.781061i | \(0.285321\pi\) |
−0.993850 | + | 0.110738i | \(0.964679\pi\) | |||||||
\(228\) | 1.68645e10 | + | 6.98549e9i | 0.413300 | + | 0.171195i | ||||
\(229\) | 2.03005e10 | − | 2.03005e10i | 0.487806 | − | 0.487806i | −0.419807 | − | 0.907613i | \(-0.637902\pi\) |
0.907613 | + | 0.419807i | \(0.137902\pi\) | |||||||
\(230\) | 1.75602e10 | − | 1.75602e10i | 0.413766 | − | 0.413766i | ||||
\(231\) | 7.33940e10 | + | 3.04008e10i | 1.69592 | + | 0.702475i | ||||
\(232\) | 2.56877e10 | − | 6.20157e10i | 0.582144 | − | 1.40542i | ||||
\(233\) | 8.07535e9 | − | 3.34492e9i | 0.179498 | − | 0.0743505i | −0.291124 | − | 0.956685i | \(-0.594029\pi\) |
0.470623 | + | 0.882335i | \(0.344029\pi\) | |||||||
\(234\) | 9.49120e9i | 0.206943i | ||||||||
\(235\) | 6.47061e9 | + | 1.56214e10i | 0.138401 | + | 0.334130i | ||||
\(236\) | 6.81489e9 | + | 6.81489e9i | 0.143006 | + | 0.143006i | ||||
\(237\) | −5.16365e10 | −1.06314 | ||||||||
\(238\) | −4.08147e10 | − | 2.24085e10i | −0.824556 | − | 0.452707i | ||||
\(239\) | −3.56000e10 | −0.705765 | −0.352882 | − | 0.935668i | \(-0.614798\pi\) | ||||
−0.352882 | + | 0.935668i | \(0.614798\pi\) | |||||||
\(240\) | −7.30200e9 | − | 7.30200e9i | −0.142066 | − | 0.142066i | ||||
\(241\) | −5.20146e9 | − | 1.25574e10i | −0.0993227 | − | 0.239786i | 0.866406 | − | 0.499341i | \(-0.166424\pi\) |
−0.965728 | + | 0.259554i | \(0.916424\pi\) | |||||||
\(242\) | 1.13037e11i | 2.11861i | ||||||||
\(243\) | 3.74663e10 | − | 1.55190e10i | 0.689307 | − | 0.285520i | ||||
\(244\) | 5.20294e9 | − | 1.25610e10i | 0.0939711 | − | 0.226866i | ||||
\(245\) | −1.59697e10 | − | 6.61485e9i | −0.283171 | − | 0.117293i | ||||
\(246\) | 1.47940e10 | − | 1.47940e10i | 0.257560 | − | 0.257560i | ||||
\(247\) | 3.91641e10 | − | 3.91641e10i | 0.669502 | − | 0.669502i | ||||
\(248\) | 4.52156e10 | + | 1.87289e10i | 0.759025 | + | 0.314399i | ||||
\(249\) | −1.18637e10 | + | 2.86416e10i | −0.195580 | + | 0.472172i | ||||
\(250\) | −4.37138e10 | + | 1.81068e10i | −0.707764 | + | 0.293165i | ||||
\(251\) | − | 4.34080e10i | − | 0.690300i | −0.938548 | − | 0.345150i | \(-0.887828\pi\) | ||
0.938548 | − | 0.345150i | \(-0.112172\pi\) | |||||||
\(252\) | −4.93371e9 | − | 1.19110e10i | −0.0770676 | − | 0.186058i | ||||
\(253\) | −1.10686e11 | − | 1.10686e11i | −1.69845 | − | 1.69845i | ||||
\(254\) | 4.82232e9 | 0.0726949 | ||||||||
\(255\) | −3.19073e10 | − | 3.50466e9i | −0.472562 | − | 0.0519056i | ||||
\(256\) | −6.83418e10 | −0.994504 | ||||||||
\(257\) | 7.16173e10 | + | 7.16173e10i | 1.02404 | + | 1.02404i | 0.999704 | + | 0.0243402i | \(0.00774850\pi\) |
0.0243402 | + | 0.999704i | \(0.492251\pi\) | |||||||
\(258\) | −8.84467e9 | − | 2.13529e10i | −0.124278 | − | 0.300033i | ||||
\(259\) | 8.13430e10i | 1.12324i | ||||||||
\(260\) | 1.14924e10 | − | 4.76032e9i | 0.155967 | − | 0.0646035i | ||||
\(261\) | −1.61825e10 | + | 3.90680e10i | −0.215856 | + | 0.521122i | ||||
\(262\) | 3.86693e10 | + | 1.60174e10i | 0.507003 | + | 0.210008i | ||||
\(263\) | −3.03609e10 | + | 3.03609e10i | −0.391304 | + | 0.391304i | −0.875152 | − | 0.483848i | \(-0.839239\pi\) |
0.483848 | + | 0.875152i | \(0.339239\pi\) | |||||||
\(264\) | −9.06361e10 | + | 9.06361e10i | −1.14837 | + | 1.14837i | ||||
\(265\) | 5.61744e10 | + | 2.32682e10i | 0.699733 | + | 0.289839i | ||||
\(266\) | 4.14980e10 | − | 1.00185e11i | 0.508230 | − | 1.22698i | ||||
\(267\) | −7.07992e10 | + | 2.93260e10i | −0.852566 | + | 0.353144i | ||||
\(268\) | − | 1.05703e10i | − | 0.125164i | ||||||
\(269\) | 3.62306e10 | + | 8.74684e10i | 0.421881 | + | 1.01851i | 0.981792 | + | 0.189959i | \(0.0608354\pi\) |
−0.559911 | + | 0.828553i | \(0.689165\pi\) | |||||||
\(270\) | 3.16142e10 | + | 3.16142e10i | 0.362030 | + | 0.362030i | ||||
\(271\) | −5.24783e10 | −0.591041 | −0.295521 | − | 0.955336i | \(-0.595493\pi\) | ||||
−0.295521 | + | 0.955336i | \(0.595493\pi\) | |||||||
\(272\) | 2.97607e10 | − | 2.38700e10i | 0.329673 | − | 0.264419i | ||||
\(273\) | 5.82859e10 | 0.635085 | ||||||||
\(274\) | −1.04158e10 | − | 1.04158e10i | −0.111639 | − | 0.111639i | ||||
\(275\) | 4.37802e10 | + | 1.05695e11i | 0.461616 | + | 1.11444i | ||||
\(276\) | − | 3.78514e10i | − | 0.392637i | ||||||
\(277\) | −1.85445e10 | + | 7.68138e9i | −0.189259 | + | 0.0783936i | −0.475300 | − | 0.879824i | \(-0.657661\pi\) |
0.286041 | + | 0.958217i | \(0.407661\pi\) | |||||||
\(278\) | 3.92002e10 | − | 9.46376e10i | 0.393628 | − | 0.950303i | ||||
\(279\) | −2.84845e10 | − | 1.17987e10i | −0.281443 | − | 0.116577i | ||||
\(280\) | 5.92647e10 | − | 5.92647e10i | 0.576216 | − | 0.576216i | ||||
\(281\) | 1.19423e10 | − | 1.19423e10i | 0.114264 | − | 0.114264i | −0.647663 | − | 0.761927i | \(-0.724254\pi\) |
0.761927 | + | 0.647663i | \(0.224254\pi\) | |||||||
\(282\) | −3.43186e10 | − | 1.42152e10i | −0.323153 | − | 0.133854i | ||||
\(283\) | −5.02585e9 | + | 1.21335e10i | −0.0465769 | + | 0.112447i | −0.945456 | − | 0.325751i | \(-0.894383\pi\) |
0.898879 | + | 0.438197i | \(0.144383\pi\) | |||||||
\(284\) | −5.72082e10 | + | 2.36964e10i | −0.521826 | + | 0.216147i | ||||
\(285\) | − | 7.47574e10i | − | 0.671200i | ||||||
\(286\) | 4.32485e10 | + | 1.04411e11i | 0.382230 | + | 0.922784i | ||||
\(287\) | 6.09741e10 | + | 6.09741e10i | 0.530490 | + | 0.530490i | ||||
\(288\) | 3.55593e10 | 0.304570 | ||||||||
\(289\) | 2.57405e10 | − | 1.15761e11i | 0.217059 | − | 0.976159i | ||||
\(290\) | −7.98828e10 | −0.663227 | ||||||||
\(291\) | −7.00657e10 | − | 7.00657e10i | −0.572779 | − | 0.572779i | ||||
\(292\) | 5.32321e9 | + | 1.28514e10i | 0.0428500 | + | 0.103449i | ||||
\(293\) | − | 2.19107e10i | − | 0.173681i | −0.996222 | − | 0.0868403i | \(-0.972323\pi\) | ||
0.996222 | − | 0.0868403i | \(-0.0276770\pi\) | |||||||
\(294\) | 3.50836e10 | − | 1.45321e10i | 0.273868 | − | 0.113440i | ||||
\(295\) | 1.51046e10 | − | 3.64658e10i | 0.116121 | − | 0.280341i | ||||
\(296\) | −1.21257e11 | − | 5.02263e10i | −0.918109 | − | 0.380293i | ||||
\(297\) | 1.99272e11 | − | 1.99272e11i | 1.48608 | − | 1.48608i | ||||
\(298\) | 3.06185e10 | − | 3.06185e10i | 0.224911 | − | 0.224911i | ||||
\(299\) | −1.06107e11 | − | 4.39508e10i | −0.767755 | − | 0.318014i | ||||
\(300\) | −1.05865e10 | + | 2.55580e10i | −0.0754580 | + | 0.182172i | ||||
\(301\) | 8.80068e10 | − | 3.64536e10i | 0.617969 | − | 0.255971i | ||||
\(302\) | − | 1.08386e11i | − | 0.749793i | ||||||
\(303\) | 4.54453e7 | + | 1.09715e8i | 0.000309740 | + | 0.000747779i | ||||
\(304\) | 6.28273e10 | + | 6.28273e10i | 0.421907 | + | 0.421907i | ||||
\(305\) | −5.56808e10 | −0.368431 | ||||||||
\(306\) | −3.69198e10 | + | 2.96120e10i | −0.240721 | + | 0.193073i | ||||
\(307\) | 1.46658e11 | 0.942289 | 0.471145 | − | 0.882056i | \(-0.343841\pi\) | ||||
0.471145 | + | 0.882056i | \(0.343841\pi\) | |||||||
\(308\) | −1.08550e11 | − | 1.08550e11i | −0.687309 | − | 0.687309i | ||||
\(309\) | 4.70820e10 | + | 1.13666e11i | 0.293793 | + | 0.709280i | ||||
\(310\) | − | 5.82425e10i | − | 0.358189i | ||||||
\(311\) | 1.85506e11 | − | 7.68391e10i | 1.12444 | − | 0.465758i | 0.258552 | − | 0.965997i | \(-0.416755\pi\) |
0.865887 | + | 0.500239i | \(0.166755\pi\) | |||||||
\(312\) | −3.59894e10 | + | 8.68861e10i | −0.215020 | + | 0.519104i | ||||
\(313\) | −1.33244e11 | − | 5.51913e10i | −0.784688 | − | 0.325028i | −0.0458820 | − | 0.998947i | \(-0.514610\pi\) |
−0.738806 | + | 0.673919i | \(0.764610\pi\) | |||||||
\(314\) | −2.51948e10 | + | 2.51948e10i | −0.146261 | + | 0.146261i | ||||
\(315\) | −3.73350e10 | + | 3.73350e10i | −0.213658 | + | 0.213658i | ||||
\(316\) | 9.21874e10 | + | 3.81853e10i | 0.520092 | + | 0.215429i | ||||
\(317\) | −1.03137e11 | + | 2.48994e11i | −0.573650 | + | 1.38491i | 0.324777 | + | 0.945791i | \(0.394711\pi\) |
−0.898427 | + | 0.439123i | \(0.855289\pi\) | |||||||
\(318\) | −1.23409e11 | + | 5.11177e10i | −0.676745 | + | 0.280317i | ||||
\(319\) | 5.03520e11i | 2.72244i | ||||||||
\(320\) | 4.43498e10 | + | 1.07070e11i | 0.236438 | + | 0.570812i | ||||
\(321\) | −8.31114e10 | − | 8.31114e10i | −0.436906 | − | 0.436906i | ||||
\(322\) | −2.24860e11 | −1.16563 | ||||||||
\(323\) | 2.74534e11 | + | 3.01545e10i | 1.40341 | + | 0.154149i | ||||
\(324\) | 3.55145e10 | 0.179041 | ||||||||
\(325\) | 5.93528e10 | + | 5.93528e10i | 0.295098 | + | 0.295098i | ||||
\(326\) | −1.01877e11 | − | 2.45953e11i | −0.499572 | − | 1.20607i | ||||
\(327\) | − | 1.79299e7i | − | 8.67185e-5i | ||||||
\(328\) | −1.28543e11 | + | 5.32441e10i | −0.613218 | + | 0.254003i | ||||
\(329\) | 5.85885e10 | − | 1.41445e11i | 0.275696 | − | 0.665590i | ||||
\(330\) | 1.40928e11 | + | 5.83744e10i | 0.654162 | + | 0.270963i | ||||
\(331\) | −1.26092e11 | + | 1.26092e11i | −0.577380 | + | 0.577380i | −0.934181 | − | 0.356801i | \(-0.883868\pi\) |
0.356801 | + | 0.934181i | \(0.383868\pi\) | |||||||
\(332\) | 4.23611e10 | − | 4.23611e10i | 0.191357 | − | 0.191357i | ||||
\(333\) | 7.63883e10 | + | 3.16411e10i | 0.340430 | + | 0.141011i | ||||
\(334\) | 5.85048e9 | − | 1.41243e10i | 0.0257236 | − | 0.0621024i | ||||
\(335\) | −3.99942e10 | + | 1.65662e10i | −0.173499 | + | 0.0718654i | ||||
\(336\) | 9.35026e10i | 0.400218i | ||||||||
\(337\) | −3.18965e10 | − | 7.70051e10i | −0.134713 | − | 0.325226i | 0.842100 | − | 0.539322i | \(-0.181319\pi\) |
−0.976813 | + | 0.214096i | \(0.931319\pi\) | |||||||
\(338\) | −7.17387e10 | − | 7.17387e10i | −0.298971 | − | 0.298971i | ||||
\(339\) | 7.43183e10 | 0.305631 | ||||||||
\(340\) | 5.43729e10 | + | 2.98524e10i | 0.220662 | + | 0.121150i | ||||
\(341\) | −3.67116e11 | −1.47031 | ||||||||
\(342\) | −7.79406e10 | − | 7.79406e10i | −0.308068 | − | 0.308068i | ||||
\(343\) | −6.02004e10 | − | 1.45337e11i | −0.234842 | − | 0.566958i | ||||
\(344\) | 1.53699e11i | 0.591778i | ||||||||
\(345\) | −1.43217e11 | + | 5.93224e10i | −0.544262 | + | 0.225441i | ||||
\(346\) | −1.27125e10 | + | 3.06906e10i | −0.0476857 | + | 0.115123i | ||||
\(347\) | −2.22564e11 | − | 9.21890e10i | −0.824086 | − | 0.341347i | −0.0695270 | − | 0.997580i | \(-0.522149\pi\) |
−0.754559 | + | 0.656233i | \(0.772149\pi\) | |||||||
\(348\) | −8.60944e10 | + | 8.60944e10i | −0.314679 | + | 0.314679i | ||||
\(349\) | −7.37872e10 | + | 7.37872e10i | −0.266236 | + | 0.266236i | −0.827581 | − | 0.561346i | \(-0.810284\pi\) |
0.561346 | + | 0.827581i | \(0.310284\pi\) | |||||||
\(350\) | 1.51830e11 | + | 6.28899e10i | 0.540817 | + | 0.224014i | ||||
\(351\) | 7.91259e10 | − | 1.91027e11i | 0.278251 | − | 0.671757i | ||||
\(352\) | 3.91183e11 | − | 1.62033e11i | 1.35812 | − | 0.562551i | ||||
\(353\) | − | 3.30958e11i | − | 1.13445i | −0.823562 | − | 0.567226i | \(-0.808017\pi\) | ||
0.823562 | − | 0.567226i | \(-0.191983\pi\) | |||||||
\(354\) | 3.31832e10 | + | 8.01114e10i | 0.112306 | + | 0.271131i | ||||
\(355\) | 1.79318e11 | + | 1.79318e11i | 0.599235 | + | 0.599235i | ||||
\(356\) | 1.48086e11 | 0.488639 | ||||||||
\(357\) | 1.81849e11 | + | 2.26726e11i | 0.592521 | + | 0.738746i | ||||
\(358\) | 3.56986e11 | 1.14862 | ||||||||
\(359\) | −7.22092e10 | − | 7.22092e10i | −0.229439 | − | 0.229439i | 0.583019 | − | 0.812458i | \(-0.301871\pi\) |
−0.812458 | + | 0.583019i | \(0.801871\pi\) | |||||||
\(360\) | −3.26018e10 | − | 7.87078e10i | −0.102301 | − | 0.246977i | ||||
\(361\) | 3.20534e11i | 0.993325i | ||||||||
\(362\) | −2.11602e11 | + | 8.76486e10i | −0.647637 | + | 0.268260i | ||||
\(363\) | 2.70019e11 | − | 6.51883e11i | 0.816233 | − | 1.97056i | ||||
\(364\) | −1.04059e11 | − | 4.31026e10i | −0.310687 | − | 0.128691i | ||||
\(365\) | 4.02824e10 | − | 4.02824e10i | 0.118795 | − | 0.118795i | ||||
\(366\) | 8.64966e10 | − | 8.64966e10i | 0.251962 | − | 0.251962i | ||||
\(367\) | −3.34308e11 | − | 1.38475e11i | −0.961943 | − | 0.398450i | −0.154236 | − | 0.988034i | \(-0.549292\pi\) |
−0.807707 | + | 0.589584i | \(0.799292\pi\) | |||||||
\(368\) | 7.05062e10 | − | 1.70217e11i | 0.200407 | − | 0.483825i | ||||
\(369\) | 8.09780e10 | − | 3.35422e10i | 0.227378 | − | 0.0941830i | ||||
\(370\) | 1.56192e11i | 0.433262i | ||||||||
\(371\) | −2.10683e11 | − | 5.08635e11i | −0.577361 | − | 1.39387i | ||||
\(372\) | −6.27714e10 | − | 6.27714e10i | −0.169949 | − | 0.169949i | ||||
\(373\) | −6.15278e9 | −0.0164582 | −0.00822908 | − | 0.999966i | \(-0.502619\pi\) | ||||
−0.00822908 | + | 0.999966i | \(0.502619\pi\) | |||||||
\(374\) | −2.71216e11 | + | 4.93990e11i | −0.716792 | + | 1.30556i | ||||
\(375\) | 2.95350e11 | 0.771251 | ||||||||
\(376\) | 1.74674e11 | + | 1.74674e11i | 0.450696 | + | 0.450696i | ||||
\(377\) | 1.41376e11 | + | 3.41311e11i | 0.360445 | + | 0.870191i | ||||
\(378\) | − | 4.04822e11i | − | 1.01988i | ||||||
\(379\) | −2.00552e11 | + | 8.30712e10i | −0.499286 | + | 0.206811i | −0.618091 | − | 0.786106i | \(-0.712094\pi\) |
0.118805 | + | 0.992918i | \(0.462094\pi\) | |||||||
\(380\) | −5.52833e10 | + | 1.33466e11i | −0.136009 | + | 0.328355i | ||||
\(381\) | −2.78102e10 | − | 1.15194e10i | −0.0676148 | − | 0.0280070i | ||||
\(382\) | 3.31024e11 | − | 3.31024e11i | 0.795379 | − | 0.795379i | ||||
\(383\) | 2.08716e11 | − | 2.08716e11i | 0.495633 | − | 0.495633i | −0.414442 | − | 0.910076i | \(-0.636023\pi\) |
0.910076 | + | 0.414442i | \(0.136023\pi\) | |||||||
\(384\) | −4.28921e9 | − | 1.77665e9i | −0.0100667 | − | 0.00416976i | ||||
\(385\) | −2.40592e11 | + | 5.80841e11i | −0.558095 | + | 1.34736i | ||||
\(386\) | 2.54844e11 | − | 1.05560e11i | 0.584295 | − | 0.242023i | ||||
\(387\) | − | 9.68260e10i | − | 0.219428i | ||||||
\(388\) | 7.32757e10 | + | 1.76903e11i | 0.164141 | + | 0.396271i | ||||
\(389\) | 6.58559e10 | + | 6.58559e10i | 0.145822 | + | 0.145822i | 0.776249 | − | 0.630427i | \(-0.217120\pi\) |
−0.630427 | + | 0.776249i | \(0.717120\pi\) | |||||||
\(390\) | 1.11918e11 | 0.244969 | ||||||||
\(391\) | −1.60083e11 | − | 5.49869e11i | −0.346378 | − | 1.18977i | ||||
\(392\) | −2.52533e11 | −0.540171 | ||||||||
\(393\) | −1.84744e11 | − | 1.84744e11i | −0.390664 | − | 0.390664i | ||||
\(394\) | 3.90197e10 | + | 9.42018e10i | 0.0815738 | + | 0.196936i | ||||
\(395\) | − | 4.08651e11i | − | 0.844629i | ||||||
\(396\) | −1.44162e11 | + | 5.97139e10i | −0.294593 | + | 0.122025i | ||||
\(397\) | −3.00906e11 | + | 7.26451e11i | −0.607958 | + | 1.46774i | 0.257260 | + | 0.966342i | \(0.417180\pi\) |
−0.865217 | + | 0.501397i | \(0.832820\pi\) | |||||||
\(398\) | 5.19484e11 | + | 2.15177e11i | 1.03776 | + | 0.429856i | ||||
\(399\) | −4.78637e11 | + | 4.78637e11i | −0.945427 | + | 0.945427i | ||||
\(400\) | −9.52142e10 | + | 9.52142e10i | −0.185965 | + | 0.185965i | ||||
\(401\) | −4.46394e11 | − | 1.84902e11i | −0.862121 | − | 0.357102i | −0.0925843 | − | 0.995705i | \(-0.529513\pi\) |
−0.769537 | + | 0.638603i | \(0.779513\pi\) | |||||||
\(402\) | 3.63940e10 | − | 8.78630e10i | 0.0695045 | − | 0.167799i | ||||
\(403\) | −2.48850e11 | + | 1.03077e11i | −0.469965 | + | 0.194666i | ||||
\(404\) | − | 2.29482e8i | − | 0.000428581i | ||||||
\(405\) | −5.56598e10 | − | 1.34375e11i | −0.102800 | − | 0.248182i | ||||
\(406\) | 5.11453e11 | + | 5.11453e11i | 0.934197 | + | 0.934197i | ||||
\(407\) | 9.84514e11 | 1.77847 | ||||||||
\(408\) | −4.50263e11 | + | 1.31085e11i | −0.804443 | + | 0.234197i | ||||
\(409\) | 4.74605e11 | 0.838643 | 0.419321 | − | 0.907838i | \(-0.362268\pi\) | ||||
0.419321 | + | 0.907838i | \(0.362268\pi\) | |||||||
\(410\) | 1.17080e11 | + | 1.17080e11i | 0.204624 | + | 0.204624i | ||||
\(411\) | 3.51870e10 | + | 8.49488e10i | 0.0608266 | + | 0.146848i | ||||
\(412\) | − | 2.37747e11i | − | 0.406516i | ||||||
\(413\) | −3.30182e11 | + | 1.36766e11i | −0.558441 | + | 0.231314i | ||||
\(414\) | −8.74668e10 | + | 2.11164e11i | −0.146333 | + | 0.353279i | ||||
\(415\) | −2.26670e11 | − | 9.38897e10i | −0.375126 | − | 0.155382i | ||||
\(416\) | 2.19668e11 | − | 2.19668e11i | 0.359623 | − | 0.359623i | ||||
\(417\) | −4.52134e11 | + | 4.52134e11i | −0.732242 | + | 0.732242i | ||||
\(418\) | −1.21256e12 | − | 5.02261e11i | −1.94273 | − | 0.804703i | ||||
\(419\) | 4.66723e10 | − | 1.12677e11i | 0.0739768 | − | 0.178596i | −0.882565 | − | 0.470190i | \(-0.844186\pi\) |
0.956542 | + | 0.291594i | \(0.0941855\pi\) | |||||||
\(420\) | −1.40453e11 | + | 5.81774e10i | −0.220246 | + | 0.0912289i | ||||
\(421\) | − | 4.38690e11i | − | 0.680594i | −0.940318 | − | 0.340297i | \(-0.889472\pi\) | ||
0.940318 | − | 0.340297i | \(-0.110528\pi\) | |||||||
\(422\) | −1.76178e11 | − | 4.25331e11i | −0.270424 | − | 0.652862i | ||||
\(423\) | −1.10040e11 | − | 1.10040e11i | −0.167116 | − | 0.167116i | ||||
\(424\) | 8.88304e11 | 1.33480 | ||||||||
\(425\) | −4.56989e10 | + | 4.16054e11i | −0.0679446 | + | 0.618586i | ||||
\(426\) | −5.57119e11 | −0.819606 | ||||||||
\(427\) | 3.56499e11 | + | 3.56499e11i | 0.518958 | + | 0.518958i | ||||
\(428\) | 8.69191e10 | + | 2.09841e11i | 0.125204 | + | 0.302269i | ||||
\(429\) | − | 7.05448e11i | − | 1.00556i | ||||||
\(430\) | 1.68987e11 | − | 6.99968e10i | 0.238367 | − | 0.0987348i | ||||
\(431\) | −1.68399e11 | + | 4.06551e11i | −0.235067 | + | 0.567503i | −0.996760 | − | 0.0804361i | \(-0.974369\pi\) |
0.761693 | + | 0.647939i | \(0.224369\pi\) | |||||||
\(432\) | 3.06446e11 | + | 1.26934e11i | 0.423329 | + | 0.175349i | ||||
\(433\) | −8.27028e11 | + | 8.27028e11i | −1.13064 | + | 1.13064i | −0.140570 | + | 0.990071i | \(0.544894\pi\) |
−0.990071 | + | 0.140570i | \(0.955106\pi\) | |||||||
\(434\) | −3.72900e11 | + | 3.72900e11i | −0.504532 | + | 0.504532i | ||||
\(435\) | 4.60683e11 | + | 1.90821e11i | 0.616879 | + | 0.255520i | ||||
\(436\) | −1.32592e7 | + | 3.20105e7i | −1.75722e−5 | + | 4.24231e-5i | ||||
\(437\) | 1.23225e12 | − | 5.10417e11i | 1.61635 | − | 0.669512i | ||||
\(438\) | 1.25152e11i | 0.162482i | ||||||||
\(439\) | −1.93458e11 | − | 4.67049e11i | −0.248598 | − | 0.600168i | 0.749488 | − | 0.662018i | \(-0.230300\pi\) |
−0.998085 | + | 0.0618505i | \(0.980300\pi\) | |||||||
\(440\) | −7.17295e11 | − | 7.17295e11i | −0.912348 | − | 0.912348i | ||||
\(441\) | 1.59088e11 | 0.200293 | ||||||||
\(442\) | −4.51439e10 | + | 4.11002e11i | −0.0562599 | + | 0.512205i | ||||
\(443\) | 6.65355e11 | 0.820799 | 0.410399 | − | 0.911906i | \(-0.365389\pi\) | ||||
0.410399 | + | 0.911906i | \(0.365389\pi\) | |||||||
\(444\) | 1.68337e11 | + | 1.68337e11i | 0.205569 | + | 0.205569i | ||||
\(445\) | −2.32086e11 | − | 5.60306e11i | −0.280562 | − | 0.677337i | ||||
\(446\) | 1.07083e12i | 1.28148i | ||||||||
\(447\) | −2.49717e11 | + | 1.03436e11i | −0.295845 | + | 0.122543i | ||||
\(448\) | 4.01568e11 | − | 9.69471e11i | 0.470986 | − | 1.13706i | ||||
\(449\) | 1.05800e12 | + | 4.38236e11i | 1.22850 | + | 0.508862i | 0.900103 | − | 0.435678i | \(-0.143491\pi\) |
0.328398 | + | 0.944539i | \(0.393491\pi\) | |||||||
\(450\) | 1.18118e11 | − | 1.18118e11i | 0.135788 | − | 0.135788i | ||||
\(451\) | 7.37984e11 | − | 7.37984e11i | 0.839948 | − | 0.839948i | ||||
\(452\) | −1.32682e11 | − | 5.49586e10i | −0.149516 | − | 0.0619316i | ||||
\(453\) | −2.58908e11 | + | 6.25060e11i | −0.288871 | + | 0.697396i | ||||
\(454\) | 6.20281e11 | − | 2.56929e11i | 0.685231 | − | 0.283832i | ||||
\(455\) | 4.61275e11i | 0.504555i | ||||||||
\(456\) | −4.17957e11 | − | 1.00904e12i | −0.452679 | − | 1.09286i | ||||
\(457\) | −2.70834e11 | − | 2.70834e11i | −0.290456 | − | 0.290456i | 0.546805 | − | 0.837260i | \(-0.315844\pi\) |
−0.837260 | + | 0.546805i | \(0.815844\pi\) | |||||||
\(458\) | −4.99146e11 | −0.530069 | ||||||||
\(459\) | 9.89944e11 | − | 2.88202e11i | 1.04101 | − | 0.303068i | ||||
\(460\) | 2.99556e11 | 0.311938 | ||||||||
\(461\) | 6.95684e11 | + | 6.95684e11i | 0.717395 | + | 0.717395i | 0.968071 | − | 0.250676i | \(-0.0806530\pi\) |
−0.250676 | + | 0.968071i | \(0.580653\pi\) | |||||||
\(462\) | −5.28555e11 | − | 1.27604e12i | −0.539760 | − | 1.30310i | ||||
\(463\) | − | 1.35928e12i | − | 1.37466i | −0.726347 | − | 0.687328i | \(-0.758784\pi\) | ||
0.726347 | − | 0.687328i | \(-0.241216\pi\) | |||||||
\(464\) | −5.47534e11 | + | 2.26796e11i | −0.548378 | + | 0.227146i | ||||
\(465\) | −1.39128e11 | + | 3.35884e11i | −0.137999 | + | 0.333158i | ||||
\(466\) | −1.40400e11 | − | 5.81555e10i | −0.137921 | − | 0.0571287i | ||||
\(467\) | −1.17021e12 | + | 1.17021e12i | −1.13851 | + | 1.13851i | −0.149792 | + | 0.988717i | \(0.547860\pi\) |
−0.988717 | + | 0.149792i | \(0.952140\pi\) | |||||||
\(468\) | −8.09542e10 | + | 8.09542e10i | −0.0780069 | + | 0.0780069i | ||||
\(469\) | 3.62130e11 | + | 1.49999e11i | 0.345610 | + | 0.143157i | ||||
\(470\) | 1.12499e11 | − | 2.71598e11i | 0.106343 | − | 0.256735i | ||||
\(471\) | 2.05483e11 | − | 8.51137e10i | 0.192389 | − | 0.0796902i | ||||
\(472\) | − | 5.76645e11i | − | 0.534773i | ||||||
\(473\) | −4.41207e11 | − | 1.06517e12i | −0.405291 | − | 0.978459i | ||||
\(474\) | 6.34814e11 | + | 6.34814e11i | 0.577623 | + | 0.577623i | ||||
\(475\) | −9.74797e11 | −0.878603 | ||||||||
\(476\) | −1.56993e11 | − | 5.39256e11i | −0.140168 | − | 0.481464i | ||||
\(477\) | −5.59605e11 | −0.494936 | ||||||||
\(478\) | 4.37664e11 | + | 4.37664e11i | 0.383456 | + | 0.383456i | ||||
\(479\) | −3.05029e11 | − | 7.36406e11i | −0.264748 | − | 0.639157i | 0.734473 | − | 0.678638i | \(-0.237430\pi\) |
−0.999220 | + | 0.0394811i | \(0.987430\pi\) | |||||||
\(480\) | − | 4.19309e11i | − | 0.360536i | ||||||
\(481\) | 6.67354e11 | − | 2.76427e11i | 0.568464 | − | 0.235466i | ||||
\(482\) | −9.04337e10 | + | 2.18326e11i | −0.0763165 | + | 0.184244i | ||||
\(483\) | 1.29677e12 | + | 5.37138e11i | 1.08417 | + | 0.449080i | ||||
\(484\) | −9.64138e11 | + | 9.64138e11i | −0.798610 | + | 0.798610i | ||||
\(485\) | 5.54500e11 | − | 5.54500e11i | 0.455055 | − | 0.455055i | ||||
\(486\) | −6.51397e11 | − | 2.69818e11i | −0.529642 | − | 0.219385i | ||||
\(487\) | 4.23825e11 | − | 1.02321e12i | 0.341434 | − | 0.824295i | −0.656137 | − | 0.754642i | \(-0.727811\pi\) |
0.997571 | − | 0.0696530i | \(-0.0221892\pi\) | |||||||
\(488\) | −7.51552e11 | + | 3.11303e11i | −0.599888 | + | 0.248482i | ||||
\(489\) | 1.66177e12i | 1.31426i | ||||||||
\(490\) | 1.15007e11 | + | 2.77652e11i | 0.0901244 | + | 0.217580i | ||||
\(491\) | 1.11740e12 | + | 1.11740e12i | 0.867646 | + | 0.867646i | 0.992211 | − | 0.124565i | \(-0.0397536\pi\) |
−0.124565 | + | 0.992211i | \(0.539754\pi\) | |||||||
\(492\) | 2.52368e11 | 0.194174 | ||||||||
\(493\) | −8.86582e11 | + | 1.61481e12i | −0.675939 | + | 1.23115i | ||||
\(494\) | −9.62960e11 | −0.727506 | ||||||||
\(495\) | 4.51874e11 | + | 4.51874e11i | 0.338294 | + | 0.338294i | ||||
\(496\) | −1.65357e11 | − | 3.99207e11i | −0.122675 | − | 0.296163i | ||||
\(497\) | − | 2.29619e12i | − | 1.68812i | ||||||
\(498\) | 4.97969e11 | − | 2.06266e11i | 0.362803 | − | 0.150278i | ||||
\(499\) | −8.33811e11 | + | 2.01300e12i | −0.602026 | + | 1.45342i | 0.269467 | + | 0.963010i | \(0.413153\pi\) |
−0.871492 | + | 0.490409i | \(0.836847\pi\) | |||||||
\(500\) | −5.27293e11 | − | 2.18412e11i | −0.377300 | − | 0.156283i | ||||
\(501\) | −6.74793e10 | + | 6.74793e10i | −0.0478521 | + | 0.0478521i | ||||
\(502\) | −5.33654e11 | + | 5.33654e11i | −0.375053 | + | 0.375053i | ||||
\(503\) | 3.08095e11 | + | 1.27617e11i | 0.214600 | + | 0.0888901i | 0.487394 | − | 0.873182i | \(-0.337948\pi\) |
−0.272794 | + | 0.962072i | \(0.587948\pi\) | |||||||
\(504\) | −2.95195e11 | + | 7.12664e11i | −0.203785 | + | 0.491980i | ||||
\(505\) | −8.68283e8 | + | 3.59655e8i | −0.000594087 | + | 0.000246079i | ||||
\(506\) | 2.72154e12i | 1.84560i | ||||||||
\(507\) | 2.42349e11 | + | 5.85083e11i | 0.162894 | + | 0.393262i | ||||
\(508\) | 4.11314e10 | + | 4.11314e10i | 0.0274023 | + | 0.0274023i | ||||
\(509\) | −4.61088e11 | −0.304477 | −0.152238 | − | 0.988344i | \(-0.548648\pi\) | ||||
−0.152238 | + | 0.988344i | \(0.548648\pi\) | |||||||
\(510\) | 3.49179e11 | + | 4.35351e11i | 0.228551 | + | 0.284954i | ||||
\(511\) | −5.15819e11 | −0.334660 | ||||||||
\(512\) | 8.55675e11 | + | 8.55675e11i | 0.550293 | + | 0.550293i | ||||
\(513\) | 9.18917e11 | + | 2.21846e12i | 0.585798 | + | 1.41424i | ||||
\(514\) | − | 1.76091e12i | − | 1.11277i | ||||||
\(515\) | −8.99554e11 | + | 3.72607e11i | −0.563501 | + | 0.233410i | ||||
\(516\) | 1.06688e11 | − | 2.57567e11i | 0.0662509 | − | 0.159944i | ||||
\(517\) | −1.71195e12 | − | 7.09111e11i | −1.05386 | − | 0.436523i | ||||
\(518\) | 1.00002e12 | − | 1.00002e12i | 0.610277 | − | 0.610277i | ||||
\(519\) | 1.46625e11 | − | 1.46625e11i | 0.0887066 | − | 0.0887066i | ||||
\(520\) | −6.87617e11 | − | 2.84820e11i | −0.412412 | − | 0.170827i | ||||
\(521\) | −2.88167e11 | + | 6.95697e11i | −0.171346 | + | 0.413667i | −0.986103 | − | 0.166137i | \(-0.946871\pi\) |
0.814756 | + | 0.579803i | \(0.196871\pi\) | |||||||
\(522\) | 6.79246e11 | − | 2.81353e11i | 0.400414 | − | 0.165857i | ||||
\(523\) | − | 3.35856e12i | − | 1.96289i | −0.191742 | − | 0.981445i | \(-0.561414\pi\) | ||
0.191742 | − | 0.981445i | \(-0.438586\pi\) | |||||||
\(524\) | 1.93208e11 | + | 4.66444e11i | 0.111952 | + | 0.270277i | ||||
\(525\) | −7.25370e11 | − | 7.25370e11i | −0.416719 | − | 0.416719i | ||||
\(526\) | 7.46509e11 | 0.425206 | ||||||||
\(527\) | −1.17736e12 | − | 6.46407e11i | −0.664907 | − | 0.365055i | ||||
\(528\) | 1.13168e12 | 0.633684 | ||||||||
\(529\) | −6.82060e11 | − | 6.82060e11i | −0.378680 | − | 0.378680i | ||||
\(530\) | −4.04546e11 | − | 9.76661e11i | −0.222703 | − | 0.537654i | ||||
\(531\) | 3.63269e11i | 0.198291i | ||||||||
\(532\) | 1.20847e12 | − | 5.00565e11i | 0.654085 | − | 0.270931i | ||||
\(533\) | 2.93036e11 | − | 7.07450e11i | 0.157271 | − | 0.379685i | ||||
\(534\) | 1.23093e12 | + | 5.09868e11i | 0.655086 | + | 0.271345i | ||||
\(535\) | 6.57745e11 | − | 6.57745e11i | 0.347109 | − | 0.347109i | ||||
\(536\) | −4.47204e11 | + | 4.47204e11i | −0.234026 | + | 0.234026i | ||||
\(537\) | −2.05873e12 | − | 8.52754e11i | −1.06835 | − | 0.442527i | ||||
\(538\) | 6.29913e11 | − | 1.52075e12i | 0.324161 | − | 0.782593i | ||||
\(539\) | 1.75011e12 | − | 7.24918e11i | 0.893130 | − | 0.369947i | ||||
\(540\) | 5.39300e11i | 0.272934i | ||||||||
\(541\) | −2.65833e10 | − | 6.41777e10i | −0.0133420 | − | 0.0322104i | 0.917068 | − | 0.398730i | \(-0.130549\pi\) |
−0.930410 | + | 0.366520i | \(0.880549\pi\) | |||||||
\(542\) | 6.45163e11 | + | 6.45163e11i | 0.321124 | + | 0.321124i | ||||
\(543\) | 1.42968e12 | 0.705731 | ||||||||
\(544\) | 1.53984e12 | + | 1.69134e11i | 0.753843 | + | 0.0828012i | ||||
\(545\) | 1.41897e8 | 6.88952e−5 | ||||||||
\(546\) | −7.16562e11 | − | 7.16562e11i | −0.345054 | − | 0.345054i | ||||
\(547\) | 3.36166e11 | + | 8.11577e11i | 0.160550 | + | 0.387603i | 0.983599 | − | 0.180368i | \(-0.0577288\pi\) |
−0.823049 | + | 0.567970i | \(0.807729\pi\) | |||||||
\(548\) | − | 1.77681e11i | − | 0.0841646i | ||||||
\(549\) | 4.73456e11 | − | 1.96112e11i | 0.222435 | − | 0.0921357i | ||||
\(550\) | 7.61172e11 | − | 1.83763e12i | 0.354691 | − | 0.856301i | ||||
\(551\) | −3.96377e12 | − | 1.64185e12i | −1.83200 | − | 0.758841i | ||||
\(552\) | −1.60141e12 | + | 1.60141e12i | −0.734136 | + | 0.734136i | ||||
\(553\) | −2.61641e12 | + | 2.61641e12i | −1.18971 | + | 1.18971i | ||||
\(554\) | 3.22419e11 | + | 1.33550e11i | 0.145421 | + | 0.0602352i | ||||
\(555\) | 3.73105e11 | − | 9.00756e11i | 0.166922 | − | 0.402985i | ||||
\(556\) | 1.14156e12 | − | 4.72848e11i | 0.506594 | − | 0.209838i | ||||
\(557\) | − | 8.34158e11i | − | 0.367198i | −0.983001 | − | 0.183599i | \(-0.941225\pi\) | ||
0.983001 | − | 0.183599i | \(-0.0587748\pi\) | |||||||
\(558\) | 2.05134e11 | + | 4.95238e11i | 0.0895745 | + | 0.216252i | ||||
\(559\) | −5.98144e11 | − | 5.98144e11i | −0.259091 | − | 0.259091i | ||||
\(560\) | −7.39981e11 | −0.317961 | ||||||||
\(561\) | 2.74412e12 | − | 2.20096e12i | 1.16969 | − | 0.938166i | ||||
\(562\) | −2.93635e11 | −0.124164 | ||||||||
\(563\) | 1.89101e12 | + | 1.89101e12i | 0.793241 | + | 0.793241i | 0.982020 | − | 0.188779i | \(-0.0604528\pi\) |
−0.188779 | + | 0.982020i | \(0.560453\pi\) | |||||||
\(564\) | −1.71470e11 | − | 4.13964e11i | −0.0713561 | − | 0.172269i | ||||
\(565\) | 5.88156e11i | 0.242814i | ||||||||
\(566\) | 2.10955e11 | − | 8.73806e10i | 0.0864006 | − | 0.0357883i | ||||
\(567\) | −5.03975e11 | + | 1.21670e12i | −0.204779 | + | 0.494380i | ||||
\(568\) | 3.42289e12 | + | 1.41781e12i | 1.37983 | + | 0.571545i | ||||
\(569\) | 2.71383e12 | − | 2.71383e12i | 1.08537 | − | 1.08537i | 0.0893699 | − | 0.995999i | \(-0.471515\pi\) |
0.995999 | − | 0.0893699i | \(-0.0284853\pi\) | |||||||
\(570\) | −9.19061e11 | + | 9.19061e11i | −0.364676 | + | 0.364676i | ||||
\(571\) | 2.41681e12 | + | 1.00107e12i | 0.951436 | + | 0.394098i | 0.803770 | − | 0.594940i | \(-0.202824\pi\) |
0.147666 | + | 0.989037i | \(0.452824\pi\) | |||||||
\(572\) | −5.21681e11 | + | 1.25945e12i | −0.203762 | + | 0.491924i | ||||
\(573\) | −2.69975e12 | + | 1.11827e12i | −1.04623 | + | 0.433363i | ||||
\(574\) | − | 1.49922e12i | − | 0.576451i | ||||||
\(575\) | 7.73532e11 | + | 1.86747e12i | 0.295103 | + | 0.712441i | ||||
\(576\) | −7.54216e11 | − | 7.54216e11i | −0.285492 | − | 0.285492i | ||||
\(577\) | 2.98202e12 | 1.12000 | 0.560002 | − | 0.828492i | \(-0.310800\pi\) | ||||
0.560002 | + | 0.828492i | \(0.310800\pi\) | |||||||
\(578\) | −1.73960e12 | + | 1.10670e12i | −0.648298 | + | 0.412434i | ||||
\(579\) | −1.72184e12 | −0.636707 | ||||||||
\(580\) | −6.81352e11 | − | 6.81352e11i | −0.250003 | − | 0.250003i | ||||
\(581\) | 8.50130e11 | + | 2.05240e12i | 0.309523 | + | 0.747254i | ||||
\(582\) | 1.72276e12i | 0.622403i | ||||||||
\(583\) | −6.15613e12 | + | 2.54995e12i | −2.20698 | + | 0.914163i | ||||
\(584\) | 3.18499e11 | − | 7.68925e11i | 0.113305 | − | 0.273543i | ||||
\(585\) | 4.33178e11 | + | 1.79428e11i | 0.152920 | + | 0.0633417i | ||||
\(586\) | −2.69368e11 | + | 2.69368e11i | −0.0943640 | + | 0.0943640i | ||||
\(587\) | 2.13771e11 | − | 2.13771e11i | 0.0743151 | − | 0.0743151i | −0.668972 | − | 0.743287i | \(-0.733266\pi\) |
0.743287 | + | 0.668972i | \(0.233266\pi\) | |||||||
\(588\) | 4.23192e11 | + | 1.75292e11i | 0.145995 | + | 0.0604733i | ||||
\(589\) | 1.19707e12 | − | 2.88998e12i | 0.409827 | − | 0.989411i | ||||
\(590\) | −6.34002e11 | + | 2.62612e11i | −0.215406 | + | 0.0892239i | ||||
\(591\) | − | 6.36469e11i | − | 0.214602i | ||||||
\(592\) | 4.43446e11 | + | 1.07057e12i | 0.148386 | + | 0.358235i | ||||
\(593\) | −2.00252e12 | − | 2.00252e12i | −0.665014 | − | 0.665014i | 0.291544 | − | 0.956557i | \(-0.405831\pi\) |
−0.956557 | + | 0.291544i | \(0.905831\pi\) | |||||||
\(594\) | −4.89966e12 | −1.61483 | ||||||||
\(595\) | −1.79431e12 | + | 1.43915e12i | −0.586911 | + | 0.470740i | ||||
\(596\) | 5.22315e11 | 0.169561 | ||||||||
\(597\) | −2.48185e12 | − | 2.48185e12i | −0.799633 | − | 0.799633i | ||||
\(598\) | 7.64139e11 | + | 1.84480e12i | 0.244353 | + | 0.589920i | ||||
\(599\) | − | 1.12962e12i | − | 0.358519i | −0.983802 | − | 0.179260i | \(-0.942630\pi\) | ||
0.983802 | − | 0.179260i | \(-0.0573702\pi\) | |||||||
\(600\) | 1.52919e12 | − | 6.33411e11i | 0.481705 | − | 0.199529i | ||||
\(601\) | −4.73282e11 | + | 1.14260e12i | −0.147974 | + | 0.357241i | −0.980435 | − | 0.196843i | \(-0.936931\pi\) |
0.832461 | + | 0.554083i | \(0.186931\pi\) | |||||||
\(602\) | −1.53011e12 | − | 6.33790e11i | −0.474829 | − | 0.196681i | ||||
\(603\) | 2.81725e11 | − | 2.81725e11i | 0.0867756 | − | 0.0867756i | ||||
\(604\) | 9.24466e11 | − | 9.24466e11i | 0.282634 | − | 0.282634i | ||||
\(605\) | 5.15901e12 | + | 2.13693e12i | 1.56555 | + | 0.648472i | ||||
\(606\) | 7.90123e8 | − | 1.90752e9i | 0.000237995 | − | 0.000574571i | ||||
\(607\) | 4.60284e11 | − | 1.90656e11i | 0.137619 | − | 0.0570035i | −0.312811 | − | 0.949815i | \(-0.601271\pi\) |
0.450430 | + | 0.892812i | \(0.351271\pi\) | |||||||
\(608\) | 3.60778e12i | 1.07072i | ||||||||
\(609\) | −1.72780e12 | − | 4.17128e12i | −0.508998 | − | 1.22883i | ||||
\(610\) | 6.84535e11 | + | 6.84535e11i | 0.200176 | + | 0.200176i | ||||
\(611\) | −1.35954e12 | −0.394646 | ||||||||
\(612\) | −5.67477e11 | − | 6.23309e10i | −0.163518 | − | 0.0179607i | ||||
\(613\) | 3.80066e12 | 1.08714 | 0.543572 | − | 0.839363i | \(-0.317072\pi\) | ||||
0.543572 | + | 0.839363i | \(0.317072\pi\) | |||||||
\(614\) | −1.80301e12 | − | 1.80301e12i | −0.511964 | − | 0.511964i | ||||
\(615\) | −3.95523e11 | − | 9.54876e11i | −0.111489 | − | 0.269159i | ||||
\(616\) | 9.18502e12i | 2.57020i | ||||||||
\(617\) | 1.05312e12 | − | 4.36216e11i | 0.292546 | − | 0.121177i | −0.231584 | − | 0.972815i | \(-0.574391\pi\) |
0.524130 | + | 0.851638i | \(0.324391\pi\) | |||||||
\(618\) | 8.18578e11 | − | 1.97622e12i | 0.225742 | − | 0.544989i | ||||
\(619\) | −4.75881e12 | − | 1.97116e12i | −1.30284 | − | 0.539653i | −0.380051 | − | 0.924965i | \(-0.624094\pi\) |
−0.922786 | + | 0.385312i | \(0.874094\pi\) | |||||||
\(620\) | 4.96774e11 | − | 4.96774e11i | 0.135019 | − | 0.135019i | ||||
\(621\) | 3.52084e12 | − | 3.52084e12i | 0.950023 | − | 0.950023i | ||||
\(622\) | −3.22525e12 | − | 1.33594e12i | −0.863985 | − | 0.357874i | ||||
\(623\) | −2.10144e12 | + | 5.07332e12i | −0.558882 | + | 1.34926i | ||||
\(624\) | 7.67113e11 | − | 3.17749e11i | 0.202548 | − | 0.0838983i | ||||
\(625\) | − | 3.65078e10i | − | 0.00957030i | ||||||
\(626\) | 9.59568e11 | + | 2.31660e12i | 0.249742 | + | 0.602930i | ||||
\(627\) | 5.79306e12 | + | 5.79306e12i | 1.49694 | + | 1.49694i | ||||
\(628\) | −4.29793e11 | −0.110266 | ||||||||
\(629\) | 3.15738e12 | + | 1.73350e12i | 0.804265 | + | 0.441567i | ||||
\(630\) | 9.17986e11 | 0.232169 | ||||||||
\(631\) | −3.52887e12 | − | 3.52887e12i | −0.886143 | − | 0.886143i | 0.108007 | − | 0.994150i | \(-0.465553\pi\) |
−0.994150 | + | 0.108007i | \(0.965553\pi\) | |||||||
\(632\) | −2.28471e12 | − | 5.51578e12i | −0.569645 | − | 1.37524i | ||||
\(633\) | 2.87373e12i | 0.711424i | ||||||||
\(634\) | 4.32907e12 | − | 1.79316e12i | 1.06413 | − | 0.440775i | ||||
\(635\) | 9.11644e10 | − | 2.20090e11i | 0.0222507 | − | 0.0537179i | ||||
\(636\) | −1.48861e12 | − | 6.16602e11i | −0.360764 | − | 0.149434i | ||||
\(637\) | 9.82771e11 | − | 9.82771e11i | 0.236497 | − | 0.236497i | ||||
\(638\) | 6.19023e12 | − | 6.19023e12i | 1.47916 | − | 1.47916i | ||||
\(639\) | −2.15632e12 | − | 8.93177e11i | −0.511634 | − | 0.211926i | ||||
\(640\) | 1.40604e10 | − | 3.39448e10i | 0.00331274 | − | 0.00799767i | ||||
\(641\) | −6.30908e12 | + | 2.61331e12i | −1.47606 | + | 0.611406i | −0.968233 | − | 0.250051i | \(-0.919553\pi\) |
−0.507831 | + | 0.861457i | \(0.669553\pi\) | |||||||
\(642\) | 2.04353e12i | 0.474759i | ||||||||
\(643\) | 1.05335e12 | + | 2.54301e12i | 0.243009 | + | 0.586676i | 0.997579 | − | 0.0695438i | \(-0.0221544\pi\) |
−0.754570 | + | 0.656220i | \(0.772154\pi\) | |||||||
\(644\) | −1.91792e12 | − | 1.91792e12i | −0.439384 | − | 0.439384i | ||||
\(645\) | −1.14175e12 | −0.259749 | ||||||||
\(646\) | −3.00438e12 | − | 3.74582e12i | −0.678748 | − | 0.846253i | ||||
\(647\) | 1.87923e12 | 0.421610 | 0.210805 | − | 0.977528i | \(-0.432391\pi\) | ||||
0.210805 | + | 0.977528i | \(0.432391\pi\) | |||||||
\(648\) | −1.50254e12 | − | 1.50254e12i | −0.334763 | − | 0.334763i | ||||
\(649\) | 1.65531e12 | + | 3.99627e12i | 0.366250 | + | 0.884206i | ||||
\(650\) | − | 1.45936e12i | − | 0.320665i | ||||||
\(651\) | 3.04128e12 | − | 1.25974e12i | 0.663654 | − | 0.274895i | ||||
\(652\) | 1.22888e12 | − | 2.96678e12i | 0.266315 | − | 0.642942i | ||||
\(653\) | 6.82513e12 | + | 2.82706e12i | 1.46893 | + | 0.608451i | 0.966615 | − | 0.256232i | \(-0.0824812\pi\) |
0.502316 | + | 0.864684i | \(0.332481\pi\) | |||||||
\(654\) | −2.20428e8 | + | 2.20428e8i | −4.71159e−5 | + | 4.71159e-5i | ||||
\(655\) | 1.46206e12 | − | 1.46206e12i | 0.310370 | − | 0.310370i | ||||
\(656\) | 1.13490e12 | + | 4.70090e11i | 0.239270 | + | 0.0991090i | ||||
\(657\) | −2.00645e11 | + | 4.84400e11i | −0.0420130 | + | 0.101428i | ||||
\(658\) | −2.45920e12 | + | 1.01863e12i | −0.511419 | + | 0.211837i | ||||
\(659\) | − | 3.71726e12i | − | 0.767784i | −0.923378 | − | 0.383892i | \(-0.874583\pi\) | ||
0.923378 | − | 0.383892i | \(-0.125417\pi\) | |||||||
\(660\) | 7.04135e11 | + | 1.69993e12i | 0.144447 | + | 0.348726i | ||||
\(661\) | −1.73041e12 | − | 1.73041e12i | −0.352567 | − | 0.352567i | 0.508497 | − | 0.861064i | \(-0.330201\pi\) |
−0.861064 | + | 0.508497i | \(0.830201\pi\) | |||||||
\(662\) | 3.10033e12 | 0.627403 | ||||||||
\(663\) | 1.24213e12 | − | 2.26240e12i | 0.249664 | − | 0.454736i | ||||
\(664\) | −3.58440e12 | −0.715584 | ||||||||
\(665\) | −3.78794e12 | − | 3.78794e12i | −0.751113 | − | 0.751113i | ||||
\(666\) | −5.50119e11 | − | 1.32810e12i | −0.108348 | − | 0.261576i | ||||
\(667\) | 8.89647e12i | 1.74041i | ||||||||
\(668\) | 1.70373e11 | − | 7.05708e10i | 0.0331060 | − | 0.0137129i | ||||
\(669\) | 2.55795e12 | − | 6.17544e12i | 0.493713 | − | 1.19193i | ||||
\(670\) | 6.95349e11 | + | 2.88023e11i | 0.133311 | + | 0.0552192i | ||||
\(671\) | 4.31479e12 | − | 4.31479e12i | 0.821690 | − | 0.821690i | ||||
\(672\) | −2.68464e12 | + | 2.68464e12i | −0.507837 | + | 0.507837i | ||||
\(673\) | 4.75457e12 | + | 1.96941e12i | 0.893395 | + | 0.370056i | 0.781677 | − | 0.623684i | \(-0.214365\pi\) |
0.111718 | + | 0.993740i | \(0.464365\pi\) | |||||||
\(674\) | −5.54560e11 | + | 1.33883e12i | −0.103509 | + | 0.249894i | ||||
\(675\) | −3.36206e12 | + | 1.39261e12i | −0.623360 | + | 0.258204i | ||||
\(676\) | − | 1.22378e12i | − | 0.225394i | ||||||
\(677\) | −1.02778e12 | − | 2.48127e12i | −0.188040 | − | 0.453968i | 0.801542 | − | 0.597938i | \(-0.204013\pi\) |
−0.989582 | + | 0.143970i | \(0.954013\pi\) | |||||||
\(678\) | −9.13663e11 | − | 9.13663e11i | −0.166055 | − | 0.166055i | ||||
\(679\) | −7.10042e12 | −1.28195 | ||||||||
\(680\) | −1.03741e12 | − | 3.56339e12i | −0.186062 | − | 0.639106i | ||||
\(681\) | −4.19089e12 | −0.746697 | ||||||||
\(682\) | 4.51330e12 | + | 4.51330e12i | 0.798848 | + | 0.798848i | ||||
\(683\) | 1.35043e12 | + | 3.26023e12i | 0.237454 | + | 0.573264i | 0.997018 | − | 0.0771682i | \(-0.0245879\pi\) |
−0.759564 | + | 0.650432i | \(0.774588\pi\) | |||||||
\(684\) | − | 1.32957e12i | − | 0.232252i | ||||||
\(685\) | −6.72286e11 | + | 2.78470e11i | −0.116667 | + | 0.0483249i | ||||
\(686\) | −1.04666e12 | + | 2.52685e12i | −0.180445 | + | 0.435634i | ||||
\(687\) | 2.87856e12 | + | 1.19234e12i | 0.493027 | + | 0.204218i | ||||
\(688\) | 9.59547e11 | − | 9.59547e11i | 0.163274 | − | 0.163274i | ||||
\(689\) | −3.45697e12 | + | 3.45697e12i | −0.584399 | + | 0.584399i | ||||
\(690\) | 2.49000e12 | + | 1.03139e12i | 0.418195 | + | 0.173222i | ||||
\(691\) | −1.42627e12 | + | 3.44331e12i | −0.237985 | + | 0.574546i | −0.997074 | − | 0.0764403i | \(-0.975645\pi\) |
0.759089 | + | 0.650986i | \(0.225645\pi\) | |||||||
\(692\) | −3.70202e11 | + | 1.53343e11i | −0.0613708 | + | 0.0254206i | ||||
\(693\) | − | 5.78629e12i | − | 0.953016i | ||||||
\(694\) | 1.60282e12 | + | 3.86955e12i | 0.262281 | + | 0.633202i | ||||
\(695\) | −3.57819e12 | − | 3.57819e12i | −0.581744 | − | 0.581744i | ||||
\(696\) | 7.28492e12 | 1.17675 | ||||||||
\(697\) | 3.66617e12 | − | 1.06733e12i | 0.588389 | − | 0.171297i | ||||
\(698\) | 1.81427e12 | 0.289302 | ||||||||
\(699\) | 6.70764e11 | + | 6.70764e11i | 0.106273 | + | 0.106273i | ||||
\(700\) | 7.58603e11 | + | 1.83143e12i | 0.119419 | + | 0.288303i | ||||
\(701\) | 9.08459e12i | 1.42094i | 0.703730 | + | 0.710468i | \(0.251517\pi\) | ||||
−0.703730 | + | 0.710468i | \(0.748483\pi\) | |||||||
\(702\) | −3.32123e12 | + | 1.37570e12i | −0.516158 | + | 0.213800i | ||||
\(703\) | −3.21024e12 | + | 7.75021e12i | −0.495723 | + | 1.19678i | ||||
\(704\) | −1.17337e13 | − | 4.86028e12i | −1.80036 | − | 0.745734i | ||||
\(705\) | −1.29757e12 | + | 1.29757e12i | −0.197824 | + | 0.197824i | ||||
\(706\) | −4.06876e12 | + | 4.06876e12i | −0.616370 | + | 0.616370i | ||||
\(707\) | 7.86192e9 | + | 3.25651e9i | 0.00118343 | + | 0.000490191i | ||||
\(708\) | −4.00269e11 | + | 9.66335e11i | −0.0598690 | + | 0.144537i | ||||
\(709\) | 1.53978e12 | − | 6.37799e11i | 0.228850 | − | 0.0947929i | −0.265312 | − | 0.964163i | \(-0.585475\pi\) |
0.494162 | + | 0.869370i | \(0.335475\pi\) | |||||||
\(710\) | − | 4.40905e12i | − | 0.651152i | ||||||
\(711\) | 1.43930e12 | + | 3.47477e12i | 0.211221 | + | 0.509933i | ||||
\(712\) | −6.26517e12 | − | 6.26517e12i | −0.913636 | − | 0.913636i | ||||
\(713\) | −6.48642e12 | −0.939944 | ||||||||
\(714\) | 5.51719e11 | − | 5.02299e12i | 0.0794467 | − | 0.723303i | ||||
\(715\) | 5.58293e12 | 0.798886 | ||||||||
\(716\) | 3.04487e12 | + | 3.04487e12i | 0.432973 | + | 0.432973i | ||||
\(717\) | −1.47852e12 | − | 3.56948e12i | −0.208926 | − | 0.504392i | ||||
\(718\) | 1.77547e12i | 0.249317i | ||||||||
\(719\) | −4.62379e12 | + | 1.91524e12i | −0.645235 | + | 0.267265i | −0.681211 | − | 0.732088i | \(-0.738546\pi\) |
0.0359755 | + | 0.999353i | \(0.488546\pi\) | |||||||
\(720\) | −2.87840e11 | + | 6.94907e11i | −0.0399167 | + | 0.0963675i | ||||
\(721\) | 8.14506e12 | + | 3.37380e12i | 1.12250 | + | 0.464954i | ||||
\(722\) | 3.94061e12 | − | 3.94061e12i | 0.539693 | − | 0.539693i | ||||
\(723\) | 1.04306e12 | − | 1.04306e12i | 0.141967 | − | 0.141967i | ||||
\(724\) | −2.55243e12 | − | 1.05725e12i | −0.345247 | − | 0.143006i | ||||
\(725\) | 2.48821e12 | − | 6.00706e12i | 0.334476 | − | 0.807497i | ||||
\(726\) | −1.13338e13 | + | 4.69460e12i | −1.51412 | + | 0.627168i | ||||
\(727\) | 5.68648e12i | 0.754986i | 0.926013 | + | 0.377493i | \(0.123214\pi\) | ||||
−0.926013 | + | 0.377493i | \(0.876786\pi\) | |||||||
\(728\) | 2.57892e12 | + | 6.22607e12i | 0.340288 | + | 0.821529i | ||||
\(729\) | 5.46898e12 | + | 5.46898e12i | 0.717187 | + | 0.717187i | ||||
\(730\) | −9.90457e11 | −0.129087 | ||||||||
\(731\) | 4.60543e11 | − | 4.19290e12i | 0.0596543 | − | 0.543108i | ||||
\(732\) | 1.47553e12 | 0.189954 | ||||||||
\(733\) | −1.71112e12 | − | 1.71112e12i | −0.218934 | − | 0.218934i | 0.589115 | − | 0.808049i | \(-0.299476\pi\) |
−0.808049 | + | 0.589115i | \(0.799476\pi\) | |||||||
\(734\) | 2.40756e12 | + | 5.81235e12i | 0.306157 | + | 0.739128i | ||||
\(735\) | − | 1.87594e12i | − | 0.237097i | ||||||
\(736\) | 6.91163e12 | − | 2.86289e12i | 0.868221 | − | 0.359629i | ||||
\(737\) | 1.81548e12 | − | 4.38295e12i | 0.226666 | − | 0.547221i | ||||
\(738\) | −1.40790e12 | − | 5.83172e11i | −0.174710 | − | 0.0723674i | ||||
\(739\) | 8.31115e12 | − | 8.31115e12i | 1.02509 | − | 1.02509i | 0.0254111 | − | 0.999677i | \(-0.491911\pi\) |
0.999677 | − | 0.0254111i | \(-0.00808948\pi\) | |||||||
\(740\) | −1.33222e12 | + | 1.33222e12i | −0.163318 | + | 0.163318i | ||||
\(741\) | 5.55337e12 | + | 2.30028e12i | 0.676667 | + | 0.280285i | ||||
\(742\) | −3.66299e12 | + | 8.84323e12i | −0.443627 | + | 1.07101i | ||||
\(743\) | −4.90537e12 | + | 2.03187e12i | −0.590503 | + | 0.244594i | −0.657867 | − | 0.753134i | \(-0.728541\pi\) |
0.0673642 | + | 0.997728i | \(0.478541\pi\) | |||||||
\(744\) | 5.31144e12i | 0.635527i | ||||||||
\(745\) | −8.18595e11 | − | 1.97626e12i | −0.0973567 | − | 0.235040i | ||||
\(746\) | 7.56417e10 | + | 7.56417e10i | 0.00894204 | + | 0.00894204i | ||||
\(747\) | 2.25807e12 | 0.265335 | ||||||||
\(748\) | −6.52674e12 | + | 1.90013e12i | −0.762324 | + | 0.221935i | ||||
\(749\) | −8.42247e12 | −0.977848 | ||||||||
\(750\) | −3.63100e12 | − | 3.63100e12i | −0.419036 | − | 0.419036i | ||||
\(751\) | 1.26079e12 | + | 3.04383e12i | 0.144632 | + | 0.349173i | 0.979550 | − | 0.201202i | \(-0.0644848\pi\) |
−0.834918 | + | 0.550375i | \(0.814485\pi\) | |||||||
\(752\) | − | 2.18099e12i | − | 0.248698i | ||||||
\(753\) | 4.35235e12 | − | 1.80280e12i | 0.493340 | − | 0.204348i | ||||
\(754\) | 2.45799e12 | − | 5.93412e12i | 0.276955 | − | 0.668629i | ||||
\(755\) | −4.94673e12 | − | 2.04900e12i | −0.554060 | − | 0.229499i | ||||
\(756\) | 3.45289e12 | − | 3.45289e12i | 0.384445 | − | 0.384445i | ||||
\(757\) | 7.80215e12 | − | 7.80215e12i | 0.863540 | − | 0.863540i | −0.128207 | − | 0.991747i | \(-0.540922\pi\) |
0.991747 | + | 0.128207i | \(0.0409222\pi\) | |||||||
\(758\) | 3.48683e12 | + | 1.44429e12i | 0.383636 | + | 0.158907i | ||||
\(759\) | 6.50111e12 | − | 1.56951e13i | 0.711049 | − | 1.71662i | ||||
\(760\) | 7.98554e12 | − | 3.30772e12i | 0.868247 | − | 0.359640i | ||||
\(761\) | − | 1.53034e13i | − | 1.65409i | −0.562138 | − | 0.827043i | \(-0.690021\pi\) | ||
0.562138 | − | 0.827043i | \(-0.309979\pi\) | |||||||
\(762\) | 2.00278e11 | + | 4.83515e11i | 0.0215197 | + | 0.0519532i | ||||
\(763\) | −9.08501e8 | − | 9.08501e8i | −9.70432e−5 | − | 9.70432e-5i | ||||
\(764\) | 5.64686e12 | 0.599635 | ||||||||
\(765\) | 6.53535e11 | + | 2.24483e12i | 0.0689910 | + | 0.236977i | ||||
\(766\) | −5.13186e12 | −0.538574 | ||||||||
\(767\) | 2.24410e12 | + | 2.24410e12i | 0.234134 | + | 0.234134i | ||||
\(768\) | −2.83834e12 | − | 6.85236e12i | −0.294401 | − | 0.710747i | ||||
\(769\) | − | 1.87850e13i | − | 1.93706i | −0.248902 | − | 0.968529i | \(-0.580070\pi\) | ||
0.248902 | − | 0.968529i | \(-0.419930\pi\) | |||||||
\(770\) | 1.00986e13 | − | 4.18299e12i | 1.03527 | − | 0.428823i | ||||
\(771\) | −4.20640e12 | + | 1.01552e13i | −0.428713 | + | 1.03500i | ||||
\(772\) | 3.07403e12 | + | 1.27331e12i | 0.311480 | + | 0.129019i | ||||
\(773\) | −1.04712e13 | + | 1.04712e13i | −1.05485 | + | 1.05485i | −0.0564419 | + | 0.998406i | \(0.517976\pi\) |
−0.998406 | + | 0.0564419i | \(0.982024\pi\) | |||||||
\(774\) | −1.19037e12 | + | 1.19037e12i | −0.119220 | + | 0.119220i | ||||
\(775\) | 4.37975e12 | + | 1.81415e12i | 0.436105 | + | 0.180641i | ||||
\(776\) | 4.38425e12 | − | 1.05845e13i | 0.434027 | − | 1.04783i | ||||
\(777\) | −8.15595e12 | + | 3.37830e12i | −0.802749 | + | 0.332510i | ||||
\(778\) | − | 1.61925e12i | − | 0.158455i | ||||||
\(779\) | 3.40313e12 | + | 8.21587e12i | 0.331100 | + | 0.799347i | ||||
\(780\) | 9.54597e11 | + | 9.54597e11i | 0.0923409 | + | 0.0923409i | ||||
\(781\) | −2.77913e13 | −2.67288 | ||||||||
\(782\) | −4.79199e12 | + | 8.72809e12i | −0.458232 | + | 0.834620i | ||||
\(783\) | −1.60166e13 | −1.52279 | ||||||||
\(784\) | 1.57657e12 | + | 1.57657e12i | 0.149036 | + | 0.149036i | ||||
\(785\) | 6.73590e11 | + | 1.62619e12i | 0.0633115 | + | 0.152847i | ||||
\(786\) | 4.54245e12i | 0.424510i | ||||||||
\(787\) | 1.03561e13 | − | 4.28966e12i | 0.962303 | − | 0.398599i | 0.154462 | − | 0.987999i | \(-0.450636\pi\) |
0.807842 | + | 0.589400i | \(0.200636\pi\) | |||||||
\(788\) | −4.70670e11 | + | 1.13630e12i | −0.0434859 | + | 0.104984i | ||||
\(789\) | −4.30510e12 | − | 1.78323e12i | −0.395491 | − | 0.163818i | ||||
\(790\) | −5.02393e12 | + | 5.02393e12i | −0.458903 | + | 0.458903i | ||||
\(791\) | 3.76569e12 | − | 3.76569e12i | 0.342019 | − | 0.342019i | ||||
\(792\) | 8.62554e12 | + | 3.57282e12i | 0.778974 | + | 0.322662i | ||||
\(793\) | 1.71330e12 | − | 4.13627e12i | 0.153852 | − | 0.371432i | ||||
\(794\) | 1.26302e13 | − | 5.23161e12i | 1.12777 | − | 0.467136i | ||||
\(795\) | 6.59876e12i | 0.585882i | ||||||||
\(796\) | 2.59555e12 | + | 6.26622e12i | 0.229151 | + | 0.553218i | ||||
\(797\) | 1.08530e13 | + | 1.08530e13i | 0.952770 | + | 0.952770i | 0.998934 | − | 0.0461637i | \(-0.0146996\pi\) |
−0.0461637 | + | 0.998934i | \(0.514700\pi\) | |||||||
\(798\) | 1.17686e13 | 1.02734 | ||||||||
\(799\) | −4.24170e12 | − | 5.28849e12i | −0.368197 | − | 0.459061i | ||||
\(800\) | −5.46756e12 | −0.471942 | ||||||||
\(801\) | 3.94687e12 | + | 3.94687e12i | 0.338771 | + | 0.338771i | ||||
\(802\) | 3.21475e12 | + | 7.76110e12i | 0.274386 | + | 0.662428i | ||||
\(803\) | 6.24308e12i | 0.529882i | ||||||||
\(804\) | 1.05984e12 | − | 4.38999e11i | 0.0894514 | − | 0.0370520i | ||||
\(805\) | −4.25091e12 | + | 1.02626e13i | −0.356780 | + | 0.861344i | ||||
\(806\) | 4.32656e12 | + | 1.79212e12i | 0.361107 | + | 0.149575i | ||||
\(807\) | −7.26540e12 | + | 7.26540e12i | −0.603016 | + | 0.603016i | ||||
\(808\) | −9.70889e9 | + | 9.70889e9i | −0.000801343 | + | 0.000801343i | ||||
\(809\) | −7.13497e12 | − | 2.95540e12i | −0.585631 | − | 0.242576i | 0.0701387 | − | 0.997537i | \(-0.477656\pi\) |
−0.655770 | + | 0.754961i | \(0.727656\pi\) | |||||||
\(810\) | −9.67713e11 | + | 2.33627e12i | −0.0789885 | + | 0.190695i | ||||
\(811\) | 7.96125e12 | − | 3.29766e12i | 0.646230 | − | 0.267677i | −0.0354009 | − | 0.999373i | \(-0.511271\pi\) |
0.681631 | + | 0.731696i | \(0.261271\pi\) | |||||||
\(812\) | 8.72477e12i | 0.704290i | ||||||||
\(813\) | −2.17950e12 | − | 5.26179e12i | −0.174965 | − | 0.422402i | ||||
\(814\) | −1.21035e13 | − | 1.21035e13i | −0.966279 | − | 0.966279i | ||||
\(815\) | −1.31513e13 | −1.04414 | ||||||||
\(816\) | 3.62936e12 | + | 1.99263e12i | 0.286566 | + | 0.157334i | ||||
\(817\) | 9.82378e12 | 0.771400 | ||||||||
\(818\) | −5.83475e12 | − | 5.83475e12i | −0.455651 | − | 0.455651i | ||||
\(819\) | −1.62464e12 | − | 3.92224e12i | −0.126177 | − | 0.304618i | ||||
\(820\) | 1.99725e12i | 0.154266i | ||||||||
\(821\) | −9.14275e12 | + | 3.78705e12i | −0.702316 | + | 0.290909i | −0.705121 | − | 0.709087i | \(-0.749107\pi\) |
0.00280460 | + | 0.999996i | \(0.499107\pi\) | |||||||
\(822\) | 6.11768e11 | − | 1.47694e12i | 0.0467373 | − | 0.112834i | ||||
\(823\) | −1.45100e11 | − | 6.01024e10i | −0.0110247 | − | 0.00456660i | 0.377164 | − | 0.926146i | \(-0.376899\pi\) |
−0.388189 | + | 0.921580i | \(0.626899\pi\) | |||||||
\(824\) | −1.00585e13 | + | 1.00585e13i | −0.760086 | + | 0.760086i | ||||
\(825\) | −8.77933e12 | + | 8.77933e12i | −0.659810 | + | 0.659810i | ||||
\(826\) | 5.74061e12 | + | 2.37784e12i | 0.429089 | + | 0.177735i | ||||
\(827\) | 7.05592e11 | − | 1.70345e12i | 0.0524540 | − | 0.126635i | −0.895480 | − | 0.445101i | \(-0.853168\pi\) |
0.947934 | + | 0.318466i | \(0.103168\pi\) | |||||||
\(828\) | −2.54714e12 | + | 1.05506e12i | −0.188328 | + | 0.0780082i | ||||
\(829\) | 1.86280e13i | 1.36984i | 0.728618 | + | 0.684920i | \(0.240163\pi\) | ||||
−0.728618 | + | 0.684920i | \(0.759837\pi\) | |||||||
\(830\) | 1.63239e12 | + | 3.94093e12i | 0.119391 | + | 0.288236i | ||||
\(831\) | −1.54036e12 | − | 1.54036e12i | −0.112052 | − | 0.112052i | ||||
\(832\) | −9.31837e12 | −0.674194 | ||||||||
\(833\) | 6.88908e12 | + | 7.56687e11i | 0.495745 | + | 0.0544520i | ||||
\(834\) | 1.11170e13 | 0.795682 | ||||||||
\(835\) | −5.34032e11 | − | 5.34032e11i | −0.0380170 | − | 0.0380170i | ||||
\(836\) | −6.05846e12 | − | 1.46264e13i | −0.428977 | − | 1.03564i | ||||
\(837\) | − | 1.16777e13i | − | 0.822416i | ||||||
\(838\) | −1.95902e12 | + | 8.11454e11i | −0.137228 | + | 0.0568416i | ||||
\(839\) | −9.13112e11 | + | 2.20445e12i | −0.0636203 | + | 0.153593i | −0.952492 | − | 0.304563i | \(-0.901490\pi\) |
0.888872 | + | 0.458155i | \(0.151490\pi\) | |||||||
\(840\) | 8.40359e12 | + | 3.48088e12i | 0.582382 | + | 0.241231i | ||||
\(841\) | 9.97725e12 | − | 9.97725e12i | 0.687747 | − | 0.687747i | ||||
\(842\) | −5.39321e12 | + | 5.39321e12i | −0.369780 | + | 0.369780i | ||||
\(843\) | 1.69339e12 | + | 7.01425e11i | 0.115487 | + | 0.0478362i | ||||
\(844\) | 2.12513e12 | − | 5.13051e12i | 0.144160 | − | 0.348032i | ||||
\(845\) | −4.63035e12 | + | 1.91795e12i | −0.312434 | + | 0.129415i | ||||
\(846\) | 2.70563e12i | 0.181594i | ||||||||
\(847\) | −1.93490e13 | − | 4.67125e13i | −1.29176 | − | 3.11859i | ||||
\(848\) | −5.54570e12 | − | 5.54570e12i | −0.368277 | − | 0.368277i | ||||
\(849\) | −1.42531e12 | −0.0941508 | ||||||||
\(850\) | 5.67675e12 | − | 4.55312e12i | 0.373005 | − | 0.299174i | ||||
\(851\) | 1.73949e13 | 1.13695 | ||||||||
\(852\) | −4.75189e12 | − | 4.75189e12i | −0.308950 | − | 0.308950i | ||||
\(853\) | 3.85584e12 | + | 9.30881e12i | 0.249372 | + | 0.602038i | 0.998151 | − | 0.0607821i | \(-0.0193595\pi\) |
−0.748779 | + | 0.662820i | \(0.769359\pi\) | |||||||
\(854\) | − | 8.76553e12i | − | 0.563920i | ||||||
\(855\) | −5.03065e12 | + | 2.08376e12i | −0.321941 | + | 0.133352i | ||||
\(856\) | 5.20056e12 | − | 1.25553e13i | 0.331069 | − | 0.799271i | ||||
\(857\) | 1.08408e13 | + | 4.49040e12i | 0.686511 | + | 0.284362i | 0.698546 | − | 0.715565i | \(-0.253831\pi\) |
−0.0120347 | + | 0.999928i | \(0.503831\pi\) | |||||||
\(858\) | −8.67272e12 | + | 8.67272e12i | −0.546340 | + | 0.546340i | ||||
\(859\) | −1.61833e13 | + | 1.61833e13i | −1.01414 | + | 1.01414i | −0.0142442 | + | 0.999899i | \(0.504534\pi\) |
−0.999899 | + | 0.0142442i | \(0.995466\pi\) | |||||||
\(860\) | 2.03839e12 | + | 8.44329e11i | 0.127070 | + | 0.0526343i | ||||
\(861\) | −3.58128e12 | + | 8.64598e12i | −0.222088 | + | 0.536167i | ||||
\(862\) | 7.06839e12 | − | 2.92782e12i | 0.436052 | − | 0.180619i | ||||
\(863\) | − | 2.58136e13i | − | 1.58417i | −0.610413 | − | 0.792083i | \(-0.708997\pi\) | ||
0.610413 | − | 0.792083i | \(-0.291003\pi\) | |||||||
\(864\) | 5.15414e12 | + | 1.24432e13i | 0.314662 | + | 0.759661i | ||||
\(865\) | 1.16039e12 | + | 1.16039e12i | 0.0704747 | + | 0.0704747i | ||||
\(866\) | 2.03348e13 | 1.22860 | ||||||||
\(867\) | 1.26759e13 | − | 2.22682e12i | 0.761891 | − | 0.133844i | ||||
\(868\) | −6.36123e12 | −0.380366 | ||||||||
\(869\) | 3.16670e13 | + | 3.16670e13i | 1.88373 | + | 1.88373i | ||||
\(870\) | −3.31766e12 | − | 8.00953e12i | −0.196334 | − | 0.473991i | ||||
\(871\) | − | 3.48072e12i | − | 0.204922i | ||||||
\(872\) | 1.91526e9 | − | 7.93326e8i | 0.000112177 | − | 4.64651e-5i | ||||
\(873\) | −2.76194e12 | + | 6.66792e12i | −0.160935 | + | 0.388532i | ||||
\(874\) | −2.14243e13 | − | 8.87422e12i | −1.24195 | − | 0.514433i | ||||
\(875\) | 1.49653e13 | − | 1.49653e13i | 0.863076 | − | 0.863076i | ||||
\(876\) | −1.06747e12 | + | 1.06747e12i | −0.0612476 | + | 0.0612476i | ||||
\(877\) | −2.66165e13 | − | 1.10249e13i | −1.51933 | − | 0.629329i | −0.541876 | − | 0.840458i | \(-0.682286\pi\) |
−0.977458 | + | 0.211130i | \(0.932286\pi\) | |||||||
\(878\) | −3.36351e12 | + | 8.12022e12i | −0.191015 | + | 0.461150i | ||||
\(879\) | 2.19690e12 | − | 9.09984e11i | 0.124125 | − | 0.0514143i | ||||
\(880\) | 8.95616e12i | 0.503443i | ||||||||
\(881\) | 5.94633e12 | + | 1.43557e13i | 0.332551 | + | 0.802848i | 0.998388 | + | 0.0567514i | \(0.0180743\pi\) |
−0.665838 | + | 0.746096i | \(0.731926\pi\) | |||||||
\(882\) | −1.95582e12 | − | 1.95582e12i | −0.108823 | − | 0.108823i | ||||
\(883\) | 3.44887e13 | 1.90921 | 0.954604 | − | 0.297876i | \(-0.0962783\pi\) | ||||
0.954604 | + | 0.297876i | \(0.0962783\pi\) | |||||||
\(884\) | −3.89065e12 | + | 3.12055e12i | −0.214283 | + | 0.171868i | ||||
\(885\) | 4.28360e12 | 0.234728 | ||||||||
\(886\) | −8.17982e12 | − | 8.17982e12i | −0.445956 | − | 0.445956i | ||||
\(887\) | 7.78029e10 | + | 1.87833e11i | 0.00422026 | + | 0.0101886i | 0.925976 | − | 0.377583i | \(-0.123245\pi\) |
−0.921755 | + | 0.387772i | \(0.873245\pi\) | |||||||
\(888\) | − | 1.42439e13i | − | 0.768726i | ||||||
\(889\) | −1.99282e12 | + | 8.25453e11i | −0.107007 | + | 0.0443236i | ||||
\(890\) | −4.03510e12 | + | 9.74160e12i | −0.215576 | + | 0.520445i | ||||
\(891\) | 1.47260e13 | + | 6.09973e12i | 0.782774 | + | 0.324236i | ||||
\(892\) | −9.13351e12 | + | 9.13351e12i | −0.483054 | + | 0.483054i | ||||
\(893\) | 1.11644e13 | − | 1.11644e13i | 0.587495 | − | 0.587495i | ||||
\(894\) | 4.34164e12 | + | 1.79836e12i | 0.227318 | + | 0.0941584i | ||||
\(895\) | 6.74871e12 | − | 1.62928e13i | 0.351574 | − | 0.848775i | ||||
\(896\) | −3.07355e11 | + | 1.27311e11i | −0.0159314 | + | 0.00659901i | ||||
\(897\) | − | 1.24643e13i | − | 0.642836i | ||||||
\(898\) | −7.61927e12 | − | 1.83945e13i | −0.390994 | − | 0.943942i | ||||
\(899\) | 1.47536e13 | + | 1.47536e13i | 0.753319 | + | 0.753319i | ||||
\(900\) | 2.01496e12 | 0.102370 | ||||||||
\(901\) | −2.42328e13 | − | 2.66170e12i | −1.22502 | − | 0.134554i | ||||
\(902\) | −1.81454e13 | −0.912721 | ||||||||
\(903\) | 7.31012e12 | + | 7.31012e12i | 0.365872 | + | 0.365872i | ||||
\(904\) | 3.28829e12 | + | 7.93864e12i | 0.163762 | + | 0.395356i | ||||
\(905\) | 1.13145e13i | 0.560682i | ||||||||
\(906\) | 1.08674e13 | − | 4.50143e12i | 0.535858 | − | 0.221960i | ||||
\(907\) | −4.18412e12 | + | 1.01014e13i | −0.205292 | + | 0.495618i | −0.992671 | − | 0.120851i | \(-0.961438\pi\) |
0.787379 | + | 0.616469i | \(0.211438\pi\) | |||||||
\(908\) | 7.48207e12 | + | 3.09918e12i | 0.365288 | + | 0.151307i | ||||
\(909\) | 6.11631e9 | − | 6.11631e9i | 0.000297134 | − | 0.000297134i | ||||
\(910\) | 5.67088e12 | − | 5.67088e12i | 0.274135 | − | 0.274135i | ||||
\(911\) | −3.70616e13 | − | 1.53514e13i | −1.78275 | − | 0.738441i | −0.991990 | − | 0.126319i | \(-0.959684\pi\) |
−0.790764 | − | 0.612122i | \(-0.790316\pi\) | |||||||
\(912\) | −3.69013e12 | + | 8.90876e12i | −0.176630 | + | 0.426423i | ||||
\(913\) | 2.48406e13 | − | 1.02893e13i | 1.18316 | − | 0.490082i | ||||
\(914\) | 6.65921e12i | 0.315620i | ||||||||
\(915\) | −2.31251e12 | − | 5.58290e12i | −0.109066 | − | 0.263308i | ||||
\(916\) | −4.25741e12 | − | 4.25741e12i | −0.199809 | − | 0.199809i | ||||
\(917\) | −1.87218e13 | −0.874352 | ||||||||
\(918\) | −1.57134e13 | − | 8.62715e12i | −0.730261 | − | 0.400936i | ||||
\(919\) | 2.20829e13 | 1.02126 | 0.510631 | − | 0.859800i | \(-0.329412\pi\) | ||||
0.510631 | + | 0.859800i | \(0.329412\pi\) | |||||||
\(920\) | −1.26736e13 | − | 1.26736e13i | −0.583248 | − | 0.583248i | ||||
\(921\) | 6.09095e12 | + | 1.47049e13i | 0.278944 | + | 0.673430i | ||||
\(922\) | − | 1.71054e13i | − | 0.779549i | ||||||
\(923\) | −1.88383e13 | + | 7.80309e12i | −0.854348 | + | 0.353883i | ||||
\(924\) | 6.37563e12 | − | 1.53921e13i | 0.287739 | − | 0.694664i | ||||
\(925\) | −1.17454e13 | − | 4.86510e12i | −0.527509 | − | 0.218501i | ||||
\(926\) | −1.67109e13 | + | 1.67109e13i | −0.746877 | + | 0.746877i | ||||
\(927\) | 6.33658e12 | − | 6.33658e12i | 0.281836 | − | 0.281836i | ||||
\(928\) | −2.22325e13 | − | 9.20900e12i | −0.984062 | − | 0.407612i | ||||
\(929\) | −1.60938e13 | + | 3.88539e13i | −0.708906 | + | 1.71145i | −0.00618976 | + | 0.999981i | \(0.501970\pi\) |
−0.702716 | + | 0.711470i | \(0.748030\pi\) | |||||||
\(930\) | 5.83975e12 | − | 2.41890e12i | 0.255989 | − | 0.106034i | ||||
\(931\) | 1.61408e13i | 0.704128i | ||||||||
\(932\) | −7.01494e11 | − | 1.69356e12i | −0.0304546 | − | 0.0735239i | ||||
\(933\) | 1.54087e13 | + | 1.54087e13i | 0.665731 | + | 0.665731i | ||||
\(934\) | 2.87729e13 | 1.23715 | ||||||||
\(935\) | 1.74184e13 | + | 2.17170e13i | 0.745344 | + | 0.929283i | ||||
\(936\) | 6.84998e12 | 0.291708 | ||||||||
\(937\) | 1.35606e13 | + | 1.35606e13i | 0.574712 | + | 0.574712i | 0.933442 | − | 0.358729i | \(-0.116790\pi\) |
−0.358729 | + | 0.933442i | \(0.616790\pi\) | |||||||
\(938\) | −2.60792e12 | − | 6.29607e12i | −0.109997 | − | 0.265557i | ||||
\(939\) | − | 1.56520e13i | − | 0.657014i | ||||||
\(940\) | 3.27612e12 | − | 1.35701e12i | 0.136862 | − | 0.0566903i | ||||
\(941\) | 1.49205e13 | − | 3.60212e13i | 0.620339 | − | 1.49763i | −0.230968 | − | 0.972961i | \(-0.574189\pi\) |
0.851307 | − | 0.524668i | \(-0.175811\pi\) | |||||||
\(942\) | −3.57256e12 | − | 1.47980e12i | −0.147826 | − | 0.0612316i | ||||
\(943\) | 1.30391e13 | − | 1.30391e13i | 0.536964 | − | 0.536964i | ||||
\(944\) | −3.60000e12 | + | 3.60000e12i | −0.147547 | + | 0.147547i | ||||
\(945\) | −1.84761e13 | − | 7.65303e12i | −0.753644 | − | 0.312170i | ||||
\(946\) | −7.67092e12 | + | 1.85192e13i | −0.311413 | + | 0.751818i | ||||
\(947\) | −5.49297e12 | + | 2.27526e12i | −0.221939 | + | 0.0919299i | −0.490882 | − | 0.871226i | \(-0.663325\pi\) |
0.268944 | + | 0.963156i | \(0.413325\pi\) | |||||||
\(948\) | 1.08292e13i | 0.435469i | ||||||||
\(949\) | 1.75290e12 | + | 4.23188e12i | 0.0701551 | + | 0.169369i | ||||
\(950\) | 1.19841e13 | + | 1.19841e13i | 0.477362 | + | 0.477362i | ||||
\(951\) | −2.92491e13 | −1.15958 | ||||||||
\(952\) | −1.61727e13 | + | 2.94567e13i | −0.638140 | + | 1.16230i | ||||
\(953\) | −1.15782e13 | −0.454697 | −0.227349 | − | 0.973813i | \(-0.573006\pi\) | ||||
−0.227349 | + | 0.973813i | \(0.573006\pi\) | |||||||
\(954\) | 6.87974e12 | + | 6.87974e12i | 0.268908 | + | 0.268908i | ||||
\(955\) | −8.85001e12 | − | 2.13658e13i | −0.344293 | − | 0.831198i | ||||
\(956\) | 7.46602e12i | 0.289087i | ||||||||
\(957\) | −5.04860e13 | + | 2.09120e13i | −1.94566 | + | 0.805919i | ||||
\(958\) | −5.30331e12 | + | 1.28033e13i | −0.203424 | + | 0.491109i | ||||
\(959\) | 6.08725e12 | + | 2.52142e12i | 0.232401 | + | 0.0962635i | ||||
\(960\) | −8.89357e12 | + | 8.89357e12i | −0.337952 | + | 0.337952i | ||||
\(961\) | 7.93880e12 | − | 7.93880e12i | 0.300261 | − | 0.300261i | ||||
\(962\) | −1.16028e13 | − | 4.80602e12i | −0.436791 | − | 0.180925i | ||||
\(963\) | −3.27620e12 | + | 7.90945e12i | −0.122759 | + | 0.296366i | ||||
\(964\) | −2.63354e12 | + | 1.09085e12i | −0.0982183 | + | 0.0406834i | ||||
\(965\) | − | 1.36267e13i | − | 0.505844i | ||||||
\(966\) | −9.33879e12 | − | 2.25458e13i | −0.345059 | − | 0.833047i | ||||
\(967\) | 1.09351e13 | + | 1.09351e13i | 0.402163 | + | 0.402163i | 0.878995 | − | 0.476832i | \(-0.158215\pi\) |
−0.476832 | + | 0.878995i | \(0.658215\pi\) | |||||||
\(968\) | 8.15810e13 | 2.98641 | ||||||||
\(969\) | 8.37836e12 | + | 2.87788e13i | 0.305283 | + | 1.04861i | ||||
\(970\) | −1.36340e13 | −0.494481 | ||||||||
\(971\) | −6.70216e12 | − | 6.70216e12i | −0.241952 | − | 0.241952i | 0.575705 | − | 0.817657i | \(-0.304727\pi\) |
−0.817657 | + | 0.575705i | \(0.804727\pi\) | |||||||
\(972\) | −3.25464e12 | − | 7.85741e12i | −0.116951 | − | 0.282346i | ||||
\(973\) | 4.58190e13i | 1.63884i | ||||||||
\(974\) | −1.77897e13 | + | 7.36872e12i | −0.633363 | + | 0.262348i | ||||
\(975\) | −3.48606e12 | + | 8.41609e12i | −0.123542 | + | 0.298256i | ||||
\(976\) | 6.63542e12 | + | 2.74848e12i | 0.234069 | + | 0.0969547i | ||||
\(977\) | 1.31478e13 | − | 1.31478e13i | 0.461666 | − | 0.461666i | −0.437535 | − | 0.899201i | \(-0.644149\pi\) |
0.899201 | + | 0.437535i | \(0.144149\pi\) | |||||||
\(978\) | 2.04296e13 | − | 2.04296e13i | 0.714062 | − | 0.714062i | ||||
\(979\) | 6.14036e13 | + | 2.54342e13i | 2.13635 | + | 0.884904i | ||||
\(980\) | −1.38726e12 | + | 3.34914e12i | −0.0480442 | + | 0.115989i | ||||
\(981\) | −1.20655e9 | + | 4.99771e8i | −4.15946e−5 | + | 1.72290e-5i | ||||
\(982\) | − | 2.74745e13i | − | 0.942818i | ||||||
\(983\) | −1.99520e13 | − | 4.81684e13i | −0.681546 | − | 1.64540i | −0.761154 | − | 0.648572i | \(-0.775367\pi\) |
0.0796075 | − | 0.996826i | \(-0.474633\pi\) | |||||||
\(984\) | −1.06771e13 | − | 1.06771e13i | −0.363059 | − | 0.363059i | ||||
\(985\) | 5.03702e12 | 0.170495 | ||||||||
\(986\) | 3.07519e13 | − | 8.95279e12i | 1.03616 | − | 0.301656i | ||||
\(987\) | 1.66154e13 | 0.557294 | ||||||||
\(988\) | −8.21346e12 | − | 8.21346e12i | −0.274233 | − | 0.274233i | ||||
\(989\) | −7.79548e12 | − | 1.88200e13i | −0.259095 | − | 0.625512i | ||||
\(990\) | − | 1.11106e13i | − | 0.367603i | ||||||
\(991\) | −4.26360e13 | + | 1.76604e13i | −1.40425 | + | 0.581660i | −0.950851 | − | 0.309648i | \(-0.899789\pi\) |
−0.453399 | + | 0.891307i | \(0.649789\pi\) | |||||||
\(992\) | 6.71428e12 | − | 1.62097e13i | 0.220139 | − | 0.531463i | ||||
\(993\) | −1.78795e13 | − | 7.40595e12i | −0.583559 | − | 0.241718i | ||||
\(994\) | −2.82291e13 | + | 2.82291e13i | −0.917188 | + | 0.917188i | ||||
\(995\) | 1.96414e13 | − | 1.96414e13i | 0.635284 | − | 0.635284i | ||||
\(996\) | 6.00670e12 | + | 2.48806e12i | 0.193405 | + | 0.0801112i | ||||
\(997\) | 1.94223e13 | − | 4.68896e13i | 0.622548 | − | 1.50296i | −0.226153 | − | 0.974092i | \(-0.572615\pi\) |
0.848701 | − | 0.528872i | \(-0.177385\pi\) | |||||||
\(998\) | 3.49984e13 | − | 1.44968e13i | 1.11676 | − | 0.462578i | ||||
\(999\) | 3.13166e13i | 0.994786i |
(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.15.5 | yes | 52 | |
17.5 | odd | 16 | 289.10.a.i.1.33 | 52 | |||
17.8 | even | 8 | inner | 17.10.d.a.8.5 | ✓ | 52 | |
17.12 | odd | 16 | 289.10.a.i.1.34 | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.8.5 | ✓ | 52 | 17.8 | even | 8 | inner | |
17.10.d.a.15.5 | yes | 52 | 1.1 | even | 1 | trivial | |
289.10.a.i.1.33 | 52 | 17.5 | odd | 16 | |||
289.10.a.i.1.34 | 52 | 17.12 | odd | 16 |