Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,11,Mod(7,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.7");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(27.3203618650\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 7.20 | ||
Character | \(\chi\) | \(=\) | 43.7 |
Dual form | 43.11.d.a.37.17 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 7.11093i | 0.222217i | 0.993808 | + | 0.111108i | \(0.0354400\pi\) | ||||
−0.993808 | + | 0.111108i | \(0.964560\pi\) | |||||||
\(3\) | −393.634 | + | 227.264i | −1.61989 | + | 0.935245i | −0.632945 | + | 0.774197i | \(0.718154\pi\) |
−0.986947 | + | 0.161048i | \(0.948513\pi\) | |||||||
\(4\) | 973.435 | 0.950620 | ||||||||
\(5\) | −1943.65 | + | 1122.17i | −0.621969 | + | 0.359094i | −0.777635 | − | 0.628716i | \(-0.783581\pi\) |
0.155666 | + | 0.987810i | \(0.450248\pi\) | |||||||
\(6\) | −1616.06 | − | 2799.10i | −0.207827 | − | 0.359967i | ||||
\(7\) | 8908.31 | + | 5143.21i | 0.530036 | + | 0.306016i | 0.741031 | − | 0.671471i | \(-0.234337\pi\) |
−0.210995 | + | 0.977487i | \(0.567670\pi\) | |||||||
\(8\) | 14203.6i | 0.433460i | ||||||||
\(9\) | 73773.8 | − | 127780.i | 1.24937 | − | 2.16396i | ||||
\(10\) | −7979.66 | − | 13821.2i | −0.0797966 | − | 0.138212i | ||||
\(11\) | 229447. | 1.42468 | 0.712342 | − | 0.701832i | \(-0.247634\pi\) | ||||
0.712342 | + | 0.701832i | \(0.247634\pi\) | |||||||
\(12\) | −383177. | + | 221227.i | −1.53990 | + | 0.889062i | ||||
\(13\) | 52326.5 | − | 90632.2i | 0.140931 | − | 0.244099i | −0.786917 | − | 0.617059i | \(-0.788324\pi\) |
0.927847 | + | 0.372960i | \(0.121657\pi\) | |||||||
\(14\) | −36573.0 | + | 63346.3i | −0.0680019 | + | 0.117783i | ||||
\(15\) | 510058. | − | 883447.i | 0.671681 | − | 1.16339i | ||||
\(16\) | 895796. | 0.854298 | ||||||||
\(17\) | 978422. | − | 1.69468e6i | 0.689099 | − | 1.19355i | −0.283031 | − | 0.959111i | \(-0.591340\pi\) |
0.972130 | − | 0.234444i | \(-0.0753268\pi\) | |||||||
\(18\) | 908634. | + | 524600.i | 0.480869 | + | 0.277630i | ||||
\(19\) | 97267.8 | − | 56157.6i | 0.0392827 | − | 0.0226799i | −0.480230 | − | 0.877143i | \(-0.659447\pi\) |
0.519513 | + | 0.854463i | \(0.326113\pi\) | |||||||
\(20\) | −1.89202e6 | + | 1.09236e6i | −0.591256 | + | 0.341362i | ||||
\(21\) | −4.67548e6 | −1.14480 | ||||||||
\(22\) | 1.63158e6i | 0.316588i | ||||||||
\(23\) | 2.53285e6 | + | 4.38702e6i | 0.393522 | + | 0.681601i | 0.992911 | − | 0.118857i | \(-0.0379230\pi\) |
−0.599389 | + | 0.800458i | \(0.704590\pi\) | |||||||
\(24\) | −3.22798e6 | − | 5.59102e6i | −0.405391 | − | 0.702158i | ||||
\(25\) | −2.36429e6 | + | 4.09507e6i | −0.242103 | + | 0.419335i | ||||
\(26\) | 644479. | + | 372090.i | 0.0542428 | + | 0.0313171i | ||||
\(27\) | 4.02251e7i | 2.80336i | ||||||||
\(28\) | 8.67166e6 | + | 5.00658e6i | 0.503862 | + | 0.290905i | ||||
\(29\) | 1.83129e6 | + | 1.05729e6i | 0.0892825 | + | 0.0515472i | 0.543977 | − | 0.839100i | \(-0.316918\pi\) |
−0.454694 | + | 0.890648i | \(0.650251\pi\) | |||||||
\(30\) | 6.28213e6 | + | 3.62699e6i | 0.258524 | + | 0.149259i | ||||
\(31\) | 3.80864e6 | + | 6.59676e6i | 0.133034 | + | 0.230421i | 0.924845 | − | 0.380345i | \(-0.124195\pi\) |
−0.791811 | + | 0.610766i | \(0.790861\pi\) | |||||||
\(32\) | 2.09144e7i | 0.623299i | ||||||||
\(33\) | −9.03180e7 | + | 5.21451e7i | −2.30783 | + | 1.33243i | ||||
\(34\) | 1.20507e7 | + | 6.95749e6i | 0.265228 | + | 0.153129i | ||||
\(35\) | −2.30862e7 | −0.439554 | ||||||||
\(36\) | 7.18139e7 | − | 1.24385e8i | 1.18767 | − | 2.05711i | ||||
\(37\) | 2.72842e7 | − | 1.57526e7i | 0.393462 | − | 0.227166i | −0.290197 | − | 0.956967i | \(-0.593721\pi\) |
0.683659 | + | 0.729801i | \(0.260387\pi\) | |||||||
\(38\) | 399333. | + | 691665.i | 0.00503984 | + | 0.00872926i | ||||
\(39\) | 4.75678e7i | 0.527218i | ||||||||
\(40\) | −1.59389e7 | − | 2.76069e7i | −0.155653 | − | 0.269599i | ||||
\(41\) | 2.35433e7 | 0.203211 | 0.101606 | − | 0.994825i | \(-0.467602\pi\) | ||||
0.101606 | + | 0.994825i | \(0.467602\pi\) | |||||||
\(42\) | − | 3.32470e7i | − | 0.254393i | ||||||
\(43\) | 1.46853e8 | + | 6.76718e6i | 0.998940 | + | 0.0460326i | ||||
\(44\) | 2.23352e8 | 1.35433 | ||||||||
\(45\) | 3.31146e8i | 1.79456i | ||||||||
\(46\) | −3.11958e7 | + | 1.80109e7i | −0.151463 | + | 0.0874472i | ||||
\(47\) | −2.97050e8 | −1.29521 | −0.647606 | − | 0.761976i | \(-0.724230\pi\) | ||||
−0.647606 | + | 0.761976i | \(0.724230\pi\) | |||||||
\(48\) | −3.52615e8 | + | 2.03583e8i | −1.38387 | + | 0.798977i | ||||
\(49\) | −8.83323e7 | − | 1.52996e8i | −0.312708 | − | 0.541626i | ||||
\(50\) | −2.91197e7 | − | 1.68123e7i | −0.0931831 | − | 0.0537993i | ||||
\(51\) | 8.89442e8i | 2.57790i | ||||||||
\(52\) | 5.09365e7 | − | 8.82245e7i | 0.133971 | − | 0.232045i | ||||
\(53\) | 2.77610e8 | + | 4.80835e8i | 0.663829 | + | 1.14978i | 0.979601 | + | 0.200950i | \(0.0644029\pi\) |
−0.315773 | + | 0.948835i | \(0.602264\pi\) | |||||||
\(54\) | −2.86038e8 | −0.622953 | ||||||||
\(55\) | −4.45965e8 | + | 2.57478e8i | −0.886110 | + | 0.511596i | ||||
\(56\) | −7.30522e7 | + | 1.26530e8i | −0.132646 | + | 0.229749i | ||||
\(57\) | −2.55253e7 | + | 4.42110e7i | −0.0424225 | + | 0.0734778i | ||||
\(58\) | −7.51834e6 | + | 1.30221e7i | −0.0114547 | + | 0.0198400i | ||||
\(59\) | 1.27013e9 | 1.77659 | 0.888295 | − | 0.459274i | \(-0.151890\pi\) | ||||
0.888295 | + | 0.459274i | \(0.151890\pi\) | |||||||
\(60\) | 4.96508e8 | − | 8.59978e8i | 0.638514 | − | 1.10594i | ||||
\(61\) | −1.25220e9 | − | 7.22958e8i | −1.48260 | − | 0.855980i | −0.482797 | − | 0.875732i | \(-0.660379\pi\) |
−0.999805 | + | 0.0197520i | \(0.993712\pi\) | |||||||
\(62\) | −4.69091e7 | + | 2.70830e7i | −0.0512034 | + | 0.0295623i | ||||
\(63\) | 1.31440e9 | − | 7.58868e8i | 1.32442 | − | 0.764652i | ||||
\(64\) | 7.68574e8 | 0.715790 | ||||||||
\(65\) | 2.34877e8i | 0.202429i | ||||||||
\(66\) | −3.70800e8 | − | 6.42245e8i | −0.296088 | − | 0.512839i | ||||
\(67\) | −6.63005e8 | − | 1.14836e9i | −0.491069 | − | 0.850557i | 0.508878 | − | 0.860839i | \(-0.330060\pi\) |
−0.999947 | + | 0.0102818i | \(0.996727\pi\) | |||||||
\(68\) | 9.52430e8 | − | 1.64966e9i | 0.655071 | − | 1.13462i | ||||
\(69\) | −1.99403e9 | − | 1.15125e9i | −1.27493 | − | 0.736079i | ||||
\(70\) | − | 1.64164e8i | − | 0.0976762i | ||||||
\(71\) | 2.42059e8 | + | 1.39753e8i | 0.134162 | + | 0.0774586i | 0.565579 | − | 0.824694i | \(-0.308653\pi\) |
−0.431417 | + | 0.902153i | \(0.641986\pi\) | |||||||
\(72\) | 1.81494e9 | + | 1.04785e9i | 0.937992 | + | 0.541550i | ||||
\(73\) | −6.34655e8 | − | 3.66419e8i | −0.306143 | − | 0.176752i | 0.339056 | − | 0.940766i | \(-0.389892\pi\) |
−0.645199 | + | 0.764015i | \(0.723226\pi\) | |||||||
\(74\) | 1.12015e8 | + | 1.94016e8i | 0.0504800 | + | 0.0874338i | ||||
\(75\) | − | 2.14927e9i | − | 0.905702i | ||||||
\(76\) | 9.46839e7 | − | 5.46658e7i | 0.0373429 | − | 0.0215599i | ||||
\(77\) | 2.04398e9 | + | 1.18009e9i | 0.755133 | + | 0.435976i | ||||
\(78\) | −3.38251e8 | −0.117157 | ||||||||
\(79\) | 1.18412e9 | − | 2.05096e9i | 0.384823 | − | 0.666533i | −0.606922 | − | 0.794762i | \(-0.707596\pi\) |
0.991745 | + | 0.128229i | \(0.0409292\pi\) | |||||||
\(80\) | −1.74112e9 | + | 1.00523e9i | −0.531347 | + | 0.306773i | ||||
\(81\) | −4.78548e9 | − | 8.28869e9i | −1.37246 | − | 2.37717i | ||||
\(82\) | 1.67415e8i | 0.0451569i | ||||||||
\(83\) | 3.79433e9 | + | 6.57197e9i | 0.963262 | + | 1.66842i | 0.714214 | + | 0.699927i | \(0.246784\pi\) |
0.249048 | + | 0.968491i | \(0.419882\pi\) | |||||||
\(84\) | −4.55127e9 | −1.08827 | ||||||||
\(85\) | 4.39182e9i | 0.989805i | ||||||||
\(86\) | −4.81210e7 | + | 1.04426e9i | −0.0102292 | + | 0.221981i | ||||
\(87\) | −9.61141e8 | −0.192837 | ||||||||
\(88\) | 3.25897e9i | 0.617544i | ||||||||
\(89\) | −2.16526e9 | + | 1.25011e9i | −0.387757 | + | 0.223872i | −0.681188 | − | 0.732109i | \(-0.738536\pi\) |
0.293431 | + | 0.955980i | \(0.405203\pi\) | |||||||
\(90\) | −2.35476e9 | −0.398780 | ||||||||
\(91\) | 9.32282e8 | − | 5.38253e8i | 0.149396 | − | 0.0862541i | ||||
\(92\) | 2.46556e9 | + | 4.27047e9i | 0.374090 | + | 0.647943i | ||||
\(93\) | −2.99842e9 | − | 1.73114e9i | −0.431000 | − | 0.248838i | ||||
\(94\) | − | 2.11230e9i | − | 0.287817i | ||||||
\(95\) | −1.26037e8 | + | 2.18302e8i | −0.0162884 | + | 0.0282124i | ||||
\(96\) | −4.75311e9 | − | 8.23263e9i | −0.582937 | − | 1.00968i | ||||
\(97\) | 1.27635e10 | 1.48632 | 0.743160 | − | 0.669114i | \(-0.233326\pi\) | ||||
0.743160 | + | 0.669114i | \(0.233326\pi\) | |||||||
\(98\) | 1.08794e9 | − | 6.28125e8i | 0.120358 | − | 0.0694889i | ||||
\(99\) | 1.69272e10 | − | 2.93187e10i | 1.77995 | − | 3.08297i | ||||
\(100\) | −2.30148e9 | + | 3.98628e9i | −0.230148 | + | 0.398628i | ||||
\(101\) | 5.34139e8 | − | 9.25155e8i | 0.0508215 | − | 0.0880254i | −0.839496 | − | 0.543367i | \(-0.817149\pi\) |
0.890317 | + | 0.455341i | \(0.150483\pi\) | |||||||
\(102\) | −6.32476e9 | −0.572853 | ||||||||
\(103\) | −7.66907e9 | + | 1.32832e10i | −0.661540 | + | 1.14582i | 0.318670 | + | 0.947866i | \(0.396764\pi\) |
−0.980211 | + | 0.197956i | \(0.936570\pi\) | |||||||
\(104\) | 1.28730e9 | + | 7.43226e8i | 0.105807 | + | 0.0610877i | ||||
\(105\) | 9.08751e9 | − | 5.24668e9i | 0.712030 | − | 0.411091i | ||||
\(106\) | −3.41918e9 | + | 1.97407e9i | −0.255501 | + | 0.147514i | ||||
\(107\) | 1.37544e9 | 0.0980673 | 0.0490336 | − | 0.998797i | \(-0.484386\pi\) | ||||
0.0490336 | + | 0.998797i | \(0.484386\pi\) | |||||||
\(108\) | 3.91565e10i | 2.66493i | ||||||||
\(109\) | −4.61055e9 | − | 7.98571e9i | −0.299654 | − | 0.519017i | 0.676402 | − | 0.736532i | \(-0.263538\pi\) |
−0.976057 | + | 0.217516i | \(0.930205\pi\) | |||||||
\(110\) | −1.83091e9 | − | 3.17123e9i | −0.113685 | − | 0.196908i | ||||
\(111\) | −7.15999e9 | + | 1.24015e10i | −0.424911 | + | 0.735967i | ||||
\(112\) | 7.98003e9 | + | 4.60727e9i | 0.452808 | + | 0.261429i | ||||
\(113\) | 3.11073e10i | 1.68838i | 0.536042 | + | 0.844191i | \(0.319919\pi\) | ||||
−0.536042 | + | 0.844191i | \(0.680081\pi\) | |||||||
\(114\) | −3.14382e8 | − | 1.81508e8i | −0.0163280 | − | 0.00942697i | ||||
\(115\) | −9.84595e9 | − | 5.68456e9i | −0.489517 | − | 0.282623i | ||||
\(116\) | 1.78264e9 | + | 1.02921e9i | 0.0848737 | + | 0.0490018i | ||||
\(117\) | −7.72065e9 | − | 1.33726e10i | −0.352147 | − | 0.609937i | ||||
\(118\) | 9.03178e9i | 0.394788i | ||||||||
\(119\) | 1.74322e10 | − | 1.00645e10i | 0.730494 | − | 0.421751i | ||||
\(120\) | 1.25481e10 | + | 7.24467e9i | 0.504281 | + | 0.291147i | ||||
\(121\) | 2.67084e10 | 1.02973 | ||||||||
\(122\) | 5.14090e9 | − | 8.90430e9i | 0.190213 | − | 0.329459i | ||||
\(123\) | −9.26742e9 | + | 5.35055e9i | −0.329180 | + | 0.190052i | ||||
\(124\) | 3.70746e9 | + | 6.42152e9i | 0.126464 | + | 0.219043i | ||||
\(125\) | − | 3.25299e10i | − | 1.06594i | ||||||
\(126\) | 5.39626e9 | + | 9.34660e9i | 0.169918 | + | 0.294307i | ||||
\(127\) | −1.69601e10 | −0.513346 | −0.256673 | − | 0.966498i | \(-0.582626\pi\) | ||||
−0.256673 | + | 0.966498i | \(0.582626\pi\) | |||||||
\(128\) | 2.68817e10i | 0.782360i | ||||||||
\(129\) | −5.93441e10 | + | 3.07106e10i | −1.66123 | + | 0.859685i | ||||
\(130\) | −1.67019e9 | −0.0449831 | ||||||||
\(131\) | 5.62726e10i | 1.45861i | 0.684187 | + | 0.729307i | \(0.260157\pi\) | ||||
−0.684187 | + | 0.729307i | \(0.739843\pi\) | |||||||
\(132\) | −8.79187e10 | + | 5.07599e10i | −2.19387 | + | 1.26663i | ||||
\(133\) | 1.15532e9 | 0.0277616 | ||||||||
\(134\) | 8.16589e9 | − | 4.71458e9i | 0.189008 | − | 0.109124i | ||||
\(135\) | −4.51394e10 | − | 7.81837e10i | −1.00667 | − | 1.74360i | ||||
\(136\) | 2.40705e10 | + | 1.38971e10i | 0.517358 | + | 0.298697i | ||||
\(137\) | 6.65221e10i | 1.37836i | 0.724590 | + | 0.689180i | \(0.242029\pi\) | ||||
−0.724590 | + | 0.689180i | \(0.757971\pi\) | |||||||
\(138\) | 8.18647e9 | − | 1.41794e10i | 0.163569 | − | 0.283310i | ||||
\(139\) | −2.47955e10 | − | 4.29471e10i | −0.477858 | − | 0.827674i | 0.521820 | − | 0.853056i | \(-0.325253\pi\) |
−0.999678 | + | 0.0253816i | \(0.991920\pi\) | |||||||
\(140\) | −2.24729e10 | −0.417849 | ||||||||
\(141\) | 1.16929e11 | − | 6.75090e10i | 2.09810 | − | 1.21134i | ||||
\(142\) | −9.93774e8 | + | 1.72127e9i | −0.0172126 | + | 0.0298131i | ||||
\(143\) | 1.20062e10 | − | 2.07953e10i | 0.200782 | − | 0.347764i | ||||
\(144\) | 6.60863e10 | − | 1.14465e11i | 1.06733 | − | 1.84867i | ||||
\(145\) | −4.74585e9 | −0.0740412 | ||||||||
\(146\) | 2.60558e9 | − | 4.51299e9i | 0.0392771 | − | 0.0680299i | ||||
\(147\) | 6.95411e10 | + | 4.01496e10i | 1.01311 | + | 0.584917i | ||||
\(148\) | 2.65594e10 | − | 1.53341e10i | 0.374033 | − | 0.215948i | ||||
\(149\) | 5.81077e10 | − | 3.35485e10i | 0.791230 | − | 0.456817i | −0.0491655 | − | 0.998791i | \(-0.515656\pi\) |
0.840395 | + | 0.541974i | \(0.182323\pi\) | |||||||
\(150\) | 1.52833e10 | 0.201262 | ||||||||
\(151\) | 1.01876e11i | 1.29774i | 0.760900 | + | 0.648869i | \(0.224758\pi\) | ||||
−0.760900 | + | 0.648869i | \(0.775242\pi\) | |||||||
\(152\) | 7.97641e8 | + | 1.38155e9i | 0.00983082 | + | 0.0170275i | ||||
\(153\) | −1.44364e11 | − | 2.50045e11i | −1.72187 | − | 2.98237i | ||||
\(154\) | −8.39157e9 | + | 1.45346e10i | −0.0968812 | + | 0.167803i | ||||
\(155\) | −1.48054e10 | − | 8.54788e9i | −0.165486 | − | 0.0955432i | ||||
\(156\) | 4.63042e10i | 0.501184i | ||||||||
\(157\) | 1.29277e11 | + | 7.46382e10i | 1.35526 | + | 0.782461i | 0.988981 | − | 0.148043i | \(-0.0472974\pi\) |
0.366282 | + | 0.930504i | \(0.380631\pi\) | |||||||
\(158\) | 1.45842e10 | + | 8.42021e9i | 0.148115 | + | 0.0855140i | ||||
\(159\) | −2.18553e11 | − | 1.26182e11i | −2.15066 | − | 1.24168i | ||||
\(160\) | −2.34695e10 | − | 4.06504e10i | −0.223823 | − | 0.387673i | ||||
\(161\) | 5.21079e10i | 0.481697i | ||||||||
\(162\) | 5.89403e10 | − | 3.40292e10i | 0.528247 | − | 0.304984i | ||||
\(163\) | 3.65555e10 | + | 2.11053e10i | 0.317698 | + | 0.183423i | 0.650366 | − | 0.759621i | \(-0.274615\pi\) |
−0.332668 | + | 0.943044i | \(0.607949\pi\) | |||||||
\(164\) | 2.29178e10 | 0.193177 | ||||||||
\(165\) | 1.17031e11 | − | 2.02704e11i | 0.956934 | − | 1.65746i | ||||
\(166\) | −4.67328e10 | + | 2.69812e10i | −0.370750 | + | 0.214053i | ||||
\(167\) | −4.64429e10 | − | 8.04414e10i | −0.357550 | − | 0.619295i | 0.630001 | − | 0.776594i | \(-0.283055\pi\) |
−0.987551 | + | 0.157300i | \(0.949721\pi\) | |||||||
\(168\) | − | 6.64087e10i | − | 0.496225i | ||||||
\(169\) | 6.34531e10 | + | 1.09904e11i | 0.460277 | + | 0.797223i | ||||
\(170\) | −3.12299e10 | −0.219951 | ||||||||
\(171\) | − | 1.65718e10i | − | 0.113342i | ||||||
\(172\) | 1.42951e11 | + | 6.58741e9i | 0.949612 | + | 0.0437595i | ||||
\(173\) | −1.80897e11 | −1.16735 | −0.583674 | − | 0.811988i | \(-0.698385\pi\) | ||||
−0.583674 | + | 0.811988i | \(0.698385\pi\) | |||||||
\(174\) | − | 6.83460e9i | − | 0.0428516i | ||||||
\(175\) | −4.21236e10 | + | 2.43201e10i | −0.256646 | + | 0.148175i | ||||
\(176\) | 2.05538e11 | 1.21710 | ||||||||
\(177\) | −4.99965e11 | + | 2.88655e11i | −2.87788 | + | 1.66155i | ||||
\(178\) | −8.88947e9 | − | 1.53970e10i | −0.0497480 | − | 0.0861661i | ||||
\(179\) | −1.36423e11 | − | 7.87640e10i | −0.742375 | − | 0.428610i | 0.0805572 | − | 0.996750i | \(-0.474330\pi\) |
−0.822932 | + | 0.568140i | \(0.807663\pi\) | |||||||
\(180\) | 3.22349e11i | 1.70594i | ||||||||
\(181\) | −4.20842e10 | + | 7.28920e10i | −0.216634 | + | 0.375221i | −0.953777 | − | 0.300516i | \(-0.902841\pi\) |
0.737143 | + | 0.675737i | \(0.236174\pi\) | |||||||
\(182\) | 3.82748e9 | + | 6.62939e9i | 0.0191671 | + | 0.0331984i | ||||
\(183\) | 6.57211e11 | 3.20220 | ||||||||
\(184\) | −6.23115e10 | + | 3.59756e10i | −0.295447 | + | 0.170576i | ||||
\(185\) | −3.53541e10 | + | 6.12350e10i | −0.163148 | + | 0.282580i | ||||
\(186\) | 1.23100e10 | − | 2.13215e10i | 0.0552959 | − | 0.0957754i | ||||
\(187\) | 2.24496e11 | − | 3.88838e11i | 0.981748 | − | 1.70044i | ||||
\(188\) | −2.89159e11 | −1.23125 | ||||||||
\(189\) | −2.06886e11 | + | 3.58338e11i | −0.857873 | + | 1.48588i | ||||
\(190\) | −1.55233e9 | − | 8.96237e8i | −0.00626925 | − | 0.00361955i | ||||
\(191\) | 3.26529e11 | − | 1.88522e11i | 1.28456 | − | 0.741642i | 0.306883 | − | 0.951747i | \(-0.400714\pi\) |
0.977679 | + | 0.210105i | \(0.0673807\pi\) | |||||||
\(192\) | −3.02537e11 | + | 1.74670e11i | −1.15950 | + | 0.669439i | ||||
\(193\) | −4.00896e11 | −1.49708 | −0.748540 | − | 0.663090i | \(-0.769245\pi\) | ||||
−0.748540 | + | 0.663090i | \(0.769245\pi\) | |||||||
\(194\) | 9.07605e10i | 0.330285i | ||||||||
\(195\) | −5.33791e10 | − | 9.24554e10i | −0.189321 | − | 0.327913i | ||||
\(196\) | −8.59857e10 | − | 1.48932e11i | −0.297267 | − | 0.514881i | ||||
\(197\) | 9.05460e10 | − | 1.56830e11i | 0.305167 | − | 0.528565i | −0.672131 | − | 0.740432i | \(-0.734621\pi\) |
0.977299 | + | 0.211867i | \(0.0679543\pi\) | |||||||
\(198\) | 2.08483e11 | + | 1.20368e11i | 0.685086 | + | 0.395535i | ||||
\(199\) | − | 5.58543e11i | − | 1.78975i | −0.446321 | − | 0.894873i | \(-0.647266\pi\) | ||
0.446321 | − | 0.894873i | \(-0.352734\pi\) | |||||||
\(200\) | −5.81647e10 | − | 3.35814e10i | −0.181765 | − | 0.104942i | ||||
\(201\) | 5.21962e11 | + | 3.01355e11i | 1.59096 | + | 0.918540i | ||||
\(202\) | 6.57871e9 | + | 3.79822e9i | 0.0195607 | + | 0.0112934i | ||||
\(203\) | 1.08758e10 | + | 1.88374e10i | 0.0315486 | + | 0.0546438i | ||||
\(204\) | 8.65814e11i | 2.45061i | ||||||||
\(205\) | −4.57600e10 | + | 2.64195e10i | −0.126391 | + | 0.0729719i | ||||
\(206\) | −9.44560e10 | − | 5.45342e10i | −0.254621 | − | 0.147005i | ||||
\(207\) | 7.47430e11 | 1.96661 | ||||||||
\(208\) | 4.68739e10 | − | 8.11880e10i | 0.120397 | − | 0.208533i | ||||
\(209\) | 2.23178e10 | − | 1.28852e10i | 0.0559654 | − | 0.0323117i | ||||
\(210\) | 3.73087e10 | + | 6.46206e10i | 0.0913512 | + | 0.158225i | ||||
\(211\) | − | 5.46783e11i | − | 1.30738i | −0.756761 | − | 0.653692i | \(-0.773219\pi\) | ||
0.756761 | − | 0.653692i | \(-0.226781\pi\) | |||||||
\(212\) | 2.70235e11 | + | 4.68061e11i | 0.631049 | + | 1.09301i | ||||
\(213\) | −1.27044e11 | −0.289771 | ||||||||
\(214\) | 9.78069e9i | 0.0217922i | ||||||||
\(215\) | −2.93024e11 | + | 1.51640e11i | −0.637840 | + | 0.330082i | ||||
\(216\) | −5.71342e11 | −1.21514 | ||||||||
\(217\) | 7.83546e10i | 0.162842i | ||||||||
\(218\) | 5.67859e10 | − | 3.27853e10i | 0.115334 | − | 0.0665882i | ||||
\(219\) | 3.33096e11 | 0.661224 | ||||||||
\(220\) | −4.34118e11 | + | 2.50638e11i | −0.842353 | + | 0.486333i | ||||
\(221\) | −1.02395e11 | − | 1.77353e11i | −0.194230 | − | 0.336417i | ||||
\(222\) | −8.81860e10 | − | 5.09142e10i | −0.163544 | − | 0.0944222i | ||||
\(223\) | − | 5.00762e11i | − | 0.908044i | −0.890990 | − | 0.454022i | \(-0.849989\pi\) | ||
0.890990 | − | 0.454022i | \(-0.150011\pi\) | |||||||
\(224\) | −1.07567e11 | + | 1.86312e11i | −0.190740 | + | 0.330371i | ||||
\(225\) | 3.48845e11 | + | 6.04217e11i | 0.604950 | + | 1.04780i | ||||
\(226\) | −2.21202e11 | −0.375186 | ||||||||
\(227\) | −4.27676e11 | + | 2.46919e11i | −0.709555 | + | 0.409662i | −0.810896 | − | 0.585190i | \(-0.801020\pi\) |
0.101341 | + | 0.994852i | \(0.467687\pi\) | |||||||
\(228\) | −2.48472e10 | + | 4.30366e10i | −0.0403276 | + | 0.0698495i | ||||
\(229\) | −2.86481e11 | + | 4.96200e11i | −0.454902 | + | 0.787914i | −0.998683 | − | 0.0513135i | \(-0.983659\pi\) |
0.543780 | + | 0.839228i | \(0.316993\pi\) | |||||||
\(230\) | 4.04225e10 | − | 7.00138e10i | 0.0628035 | − | 0.108779i | ||||
\(231\) | −1.07277e12 | −1.63098 | ||||||||
\(232\) | −1.50174e10 | + | 2.60109e10i | −0.0223437 | + | 0.0387004i | ||||
\(233\) | 1.66881e11 | + | 9.63487e10i | 0.243011 | + | 0.140303i | 0.616560 | − | 0.787308i | \(-0.288526\pi\) |
−0.373549 | + | 0.927611i | \(0.621859\pi\) | |||||||
\(234\) | 9.50913e10 | − | 5.49010e10i | 0.135538 | − | 0.0782530i | ||||
\(235\) | 5.77363e11 | − | 3.33341e11i | 0.805582 | − | 0.465103i | ||||
\(236\) | 1.23639e12 | 1.68886 | ||||||||
\(237\) | 1.07644e12i | 1.43961i | ||||||||
\(238\) | 7.15677e10 | + | 1.23959e11i | 0.0937200 | + | 0.162328i | ||||
\(239\) | −2.15469e11 | − | 3.73203e11i | −0.276309 | − | 0.478581i | 0.694155 | − | 0.719825i | \(-0.255778\pi\) |
−0.970465 | + | 0.241244i | \(0.922445\pi\) | |||||||
\(240\) | 4.56908e11 | − | 7.91388e11i | 0.573816 | − | 0.993879i | ||||
\(241\) | −3.25537e11 | − | 1.87949e11i | −0.400419 | − | 0.231182i | 0.286246 | − | 0.958156i | \(-0.407593\pi\) |
−0.686665 | + | 0.726974i | \(0.740926\pi\) | |||||||
\(242\) | 1.89922e11i | 0.228822i | ||||||||
\(243\) | 1.71042e12 | + | 9.87510e11i | 2.01870 | + | 1.16549i | ||||
\(244\) | −1.21893e12 | − | 7.03752e11i | −1.40939 | − | 0.813712i | ||||
\(245\) | 3.43375e11 | + | 1.98248e11i | 0.388990 | + | 0.224583i | ||||
\(246\) | −3.80474e10 | − | 6.59000e10i | −0.0422327 | − | 0.0731492i | ||||
\(247\) | − | 1.17541e10i | − | 0.0127851i | ||||||
\(248\) | −9.36979e10 | + | 5.40965e10i | −0.0998783 | + | 0.0576648i | ||||
\(249\) | −2.98715e12 | − | 1.72463e12i | −3.12076 | − | 1.80177i | ||||
\(250\) | 2.31318e11 | 0.236869 | ||||||||
\(251\) | 4.57686e11 | − | 7.92735e11i | 0.459408 | − | 0.795718i | −0.539521 | − | 0.841972i | \(-0.681395\pi\) |
0.998930 | + | 0.0462534i | \(0.0147282\pi\) | |||||||
\(252\) | 1.27948e12 | − | 7.38709e11i | 1.25902 | − | 0.726893i | ||||
\(253\) | 5.81153e11 | + | 1.00659e12i | 0.560645 | + | 0.971066i | ||||
\(254\) | − | 1.20602e11i | − | 0.114074i | ||||||
\(255\) | −9.98104e11 | − | 1.72877e12i | −0.925710 | − | 1.60338i | ||||
\(256\) | 5.95866e11 | 0.541937 | ||||||||
\(257\) | 1.52598e12i | 1.36108i | 0.732710 | + | 0.680541i | \(0.238255\pi\) | ||||
−0.732710 | + | 0.680541i | \(0.761745\pi\) | |||||||
\(258\) | −2.18381e11 | − | 4.21991e11i | −0.191036 | − | 0.369152i | ||||
\(259\) | 3.24075e11 | 0.278065 | ||||||||
\(260\) | 2.28637e11i | 0.192433i | ||||||||
\(261\) | 2.70202e11 | − | 1.56001e11i | 0.223093 | − | 0.128803i | ||||
\(262\) | −4.00150e11 | −0.324128 | ||||||||
\(263\) | 1.00740e12 | − | 5.81624e11i | 0.800616 | − | 0.462236i | −0.0430704 | − | 0.999072i | \(-0.513714\pi\) |
0.843687 | + | 0.536836i | \(0.180381\pi\) | |||||||
\(264\) | −7.40649e11 | − | 1.28284e12i | −0.577554 | − | 1.00035i | ||||
\(265\) | −1.07916e12 | − | 6.23051e11i | −0.825762 | − | 0.476754i | ||||
\(266\) | 8.21541e9i | 0.00616909i | ||||||||
\(267\) | 5.68213e11 | − | 9.84174e11i | 0.418750 | − | 0.725296i | ||||
\(268\) | −6.45392e11 | − | 1.11785e12i | −0.466820 | − | 0.808556i | ||||
\(269\) | 1.80297e12 | 1.28005 | 0.640024 | − | 0.768355i | \(-0.278924\pi\) | ||||
0.640024 | + | 0.768355i | \(0.278924\pi\) | |||||||
\(270\) | 5.55959e11 | − | 3.20983e11i | 0.387457 | − | 0.223699i | ||||
\(271\) | −2.28521e11 | + | 3.95811e11i | −0.156344 | + | 0.270795i | −0.933547 | − | 0.358454i | \(-0.883304\pi\) |
0.777204 | + | 0.629249i | \(0.216637\pi\) | |||||||
\(272\) | 8.76467e11 | − | 1.51808e12i | 0.588696 | − | 1.01965i | ||||
\(273\) | −2.44652e11 | + | 4.23749e11i | −0.161337 | + | 0.279444i | ||||
\(274\) | −4.73034e11 | −0.306295 | ||||||||
\(275\) | −5.42478e11 | + | 9.39600e11i | −0.344920 | + | 0.597420i | ||||
\(276\) | −1.94105e12 | − | 1.12067e12i | −1.21197 | − | 0.699732i | ||||
\(277\) | 9.77390e11 | − | 5.64296e11i | 0.599334 | − | 0.346026i | −0.169445 | − | 0.985540i | \(-0.554198\pi\) |
0.768780 | + | 0.639514i | \(0.220864\pi\) | |||||||
\(278\) | 3.05393e11 | − | 1.76319e11i | 0.183923 | − | 0.106188i | ||||
\(279\) | 1.12391e12 | 0.664831 | ||||||||
\(280\) | − | 3.27908e11i | − | 0.190529i | ||||||
\(281\) | 2.54436e11 | + | 4.40696e11i | 0.145227 | + | 0.251540i | 0.929458 | − | 0.368929i | \(-0.120275\pi\) |
−0.784231 | + | 0.620469i | \(0.786942\pi\) | |||||||
\(282\) | 4.80052e11 | + | 8.31474e11i | 0.269180 | + | 0.466233i | ||||
\(283\) | 2.13292e11 | − | 3.69433e11i | 0.117501 | − | 0.203518i | −0.801276 | − | 0.598295i | \(-0.795845\pi\) |
0.918777 | + | 0.394777i | \(0.129178\pi\) | |||||||
\(284\) | 2.35629e11 | + | 1.36040e11i | 0.127537 | + | 0.0736337i | ||||
\(285\) | − | 1.14575e11i | − | 0.0609346i | ||||||
\(286\) | 1.47874e11 | + | 8.53749e10i | 0.0772789 | + | 0.0446170i | ||||
\(287\) | 2.09731e11 | + | 1.21088e11i | 0.107709 | + | 0.0621859i | ||||
\(288\) | 2.67245e12 | + | 1.54294e12i | 1.34880 | + | 0.778728i | ||||
\(289\) | −9.06622e11 | − | 1.57032e12i | −0.449715 | − | 0.778929i | ||||
\(290\) | − | 3.37474e10i | − | 0.0164532i | ||||||
\(291\) | −5.02415e12 | + | 2.90070e12i | −2.40768 | + | 1.39007i | ||||
\(292\) | −6.17796e11 | − | 3.56684e11i | −0.291025 | − | 0.168023i | ||||
\(293\) | −3.45776e12 | −1.60124 | −0.800621 | − | 0.599171i | \(-0.795497\pi\) | ||||
−0.800621 | + | 0.599171i | \(0.795497\pi\) | |||||||
\(294\) | −2.85501e11 | + | 4.94502e11i | −0.129978 | + | 0.225129i | ||||
\(295\) | −2.46869e12 | + | 1.42530e12i | −1.10498 | + | 0.637963i | ||||
\(296\) | 2.23743e11 | + | 3.87535e11i | 0.0984672 | + | 0.170550i | ||||
\(297\) | 9.22953e12i | 3.99390i | ||||||||
\(298\) | 2.38561e11 | + | 4.13200e11i | 0.101512 | + | 0.175824i | ||||
\(299\) | 5.30140e11 | 0.221837 | ||||||||
\(300\) | − | 2.09218e12i | − | 0.860978i | ||||||
\(301\) | 1.27340e12 | + | 8.15579e11i | 0.515387 | + | 0.330091i | ||||
\(302\) | −7.24433e11 | −0.288379 | ||||||||
\(303\) | 4.85563e11i | 0.190122i | ||||||||
\(304\) | 8.71321e10 | − | 5.03058e10i | 0.0335591 | − | 0.0193754i | ||||
\(305\) | 3.24512e12 | 1.22951 | ||||||||
\(306\) | 1.77805e12 | − | 1.02656e12i | 0.662732 | − | 0.382629i | ||||
\(307\) | 1.50334e12 | + | 2.60387e12i | 0.551273 | + | 0.954833i | 0.998183 | + | 0.0602538i | \(0.0191910\pi\) |
−0.446910 | + | 0.894579i | \(0.647476\pi\) | |||||||
\(308\) | 1.98968e12 | + | 1.14874e12i | 0.717845 | + | 0.414448i | ||||
\(309\) | − | 6.97162e12i | − | 2.47481i | ||||||
\(310\) | 6.07834e10 | − | 1.05280e11i | 0.0212313 | − | 0.0367737i | ||||
\(311\) | 9.55521e11 | + | 1.65501e12i | 0.328427 | + | 0.568851i | 0.982200 | − | 0.187839i | \(-0.0601483\pi\) |
−0.653773 | + | 0.756690i | \(0.726815\pi\) | |||||||
\(312\) | −6.75635e11 | −0.228528 | ||||||||
\(313\) | −4.04582e12 | + | 2.33585e12i | −1.34674 | + | 0.777542i | −0.987787 | − | 0.155812i | \(-0.950201\pi\) |
−0.358956 | + | 0.933354i | \(0.616867\pi\) | |||||||
\(314\) | −5.30747e11 | + | 9.19280e11i | −0.173876 | + | 0.301162i | ||||
\(315\) | −1.70316e12 | + | 2.94995e12i | −0.549164 | + | 0.951180i | ||||
\(316\) | 1.15267e12 | − | 1.99647e12i | 0.365820 | − | 0.633619i | ||||
\(317\) | 5.83261e12 | 1.82208 | 0.911038 | − | 0.412322i | \(-0.135282\pi\) | ||||
0.911038 | + | 0.412322i | \(0.135282\pi\) | |||||||
\(318\) | 8.97270e11 | − | 1.55412e12i | 0.275923 | − | 0.477912i | ||||
\(319\) | 4.20183e11 | + | 2.42593e11i | 0.127199 | + | 0.0734386i | ||||
\(320\) | −1.49384e12 | + | 8.62470e11i | −0.445200 | + | 0.257036i | ||||
\(321\) | −5.41421e11 | + | 3.12590e11i | −0.158858 | + | 0.0917169i | ||||
\(322\) | −3.70535e11 | −0.107041 | ||||||||
\(323\) | − | 2.19783e11i | − | 0.0625147i | ||||||
\(324\) | −4.65835e12 | − | 8.06850e12i | −1.30469 | − | 2.25979i | ||||
\(325\) | 2.47430e11 | + | 4.28561e11i | 0.0682394 | + | 0.118194i | ||||
\(326\) | −1.50079e11 | + | 2.59944e11i | −0.0407597 | + | 0.0705978i | ||||
\(327\) | 3.62974e12 | + | 2.09563e12i | 0.970815 | + | 0.560500i | ||||
\(328\) | 3.34400e11i | 0.0880839i | ||||||||
\(329\) | −2.64622e12 | − | 1.52779e12i | −0.686508 | − | 0.396356i | ||||
\(330\) | 1.44141e12 | + | 8.32201e11i | 0.368315 | + | 0.212647i | ||||
\(331\) | 1.06462e12 | + | 6.14656e11i | 0.267949 | + | 0.154701i | 0.627955 | − | 0.778249i | \(-0.283892\pi\) |
−0.360006 | + | 0.932950i | \(0.617225\pi\) | |||||||
\(332\) | 3.69353e12 | + | 6.39738e12i | 0.915696 | + | 1.58603i | ||||
\(333\) | − | 4.64850e12i | − | 1.13525i | ||||||
\(334\) | 5.72013e11 | − | 3.30252e11i | 0.137618 | − | 0.0794535i | ||||
\(335\) | 2.57730e12 | + | 1.48801e12i | 0.610860 | + | 0.352680i | ||||
\(336\) | −4.18828e12 | −0.978000 | ||||||||
\(337\) | −2.96852e12 | + | 5.14164e12i | −0.682954 | + | 1.18291i | 0.291122 | + | 0.956686i | \(0.405972\pi\) |
−0.974075 | + | 0.226224i | \(0.927362\pi\) | |||||||
\(338\) | −7.81520e11 | + | 4.51211e11i | −0.177156 | + | 0.102281i | ||||
\(339\) | −7.06959e12 | − | 1.22449e13i | −1.57905 | − | 2.73500i | ||||
\(340\) | 4.27515e12i | 0.940928i | ||||||||
\(341\) | 8.73881e11 | + | 1.51361e12i | 0.189531 | + | 0.328277i | ||||
\(342\) | 1.17841e11 | 0.0251864 | ||||||||
\(343\) | − | 4.72291e12i | − | 0.994807i | ||||||
\(344\) | −9.61185e10 | + | 2.08584e12i | −0.0199533 | + | 0.433000i | ||||
\(345\) | 5.16759e12 | 1.05729 | ||||||||
\(346\) | − | 1.28634e12i | − | 0.259404i | ||||||
\(347\) | 3.05361e12 | − | 1.76300e12i | 0.606969 | − | 0.350434i | −0.164809 | − | 0.986325i | \(-0.552701\pi\) |
0.771778 | + | 0.635892i | \(0.219368\pi\) | |||||||
\(348\) | −9.35608e11 | −0.183315 | ||||||||
\(349\) | 7.91098e12 | − | 4.56741e12i | 1.52793 | − | 0.882151i | 0.528481 | − | 0.848945i | \(-0.322762\pi\) |
0.999449 | − | 0.0332057i | \(-0.0105717\pi\) | |||||||
\(350\) | −1.72938e11 | − | 2.99538e11i | −0.0329269 | − | 0.0570311i | ||||
\(351\) | 3.64569e12 | + | 2.10484e12i | 0.684297 | + | 0.395079i | ||||
\(352\) | 4.79875e12i | 0.888004i | ||||||||
\(353\) | 1.90065e12 | − | 3.29202e12i | 0.346759 | − | 0.600604i | −0.638913 | − | 0.769279i | \(-0.720615\pi\) |
0.985672 | + | 0.168675i | \(0.0539488\pi\) | |||||||
\(354\) | −2.05260e12 | − | 3.55521e12i | −0.369223 | − | 0.639513i | ||||
\(355\) | −6.27306e11 | −0.111260 | ||||||||
\(356\) | −2.10774e12 | + | 1.21690e12i | −0.368610 | + | 0.212817i | ||||
\(357\) | −4.57459e12 | + | 7.92342e12i | −0.788880 | + | 1.36638i | ||||
\(358\) | 5.60085e11 | − | 9.70096e11i | 0.0952443 | − | 0.164968i | ||||
\(359\) | −2.36943e12 | + | 4.10397e12i | −0.397348 | + | 0.688227i | −0.993398 | − | 0.114721i | \(-0.963403\pi\) |
0.596050 | + | 0.802947i | \(0.296736\pi\) | |||||||
\(360\) | −4.70348e12 | −0.777869 | ||||||||
\(361\) | −3.05923e12 | + | 5.29873e12i | −0.498971 | + | 0.864244i | ||||
\(362\) | −5.18330e11 | − | 2.99258e11i | −0.0833803 | − | 0.0481396i | ||||
\(363\) | −1.05133e13 | + | 6.06988e12i | −1.66804 | + | 0.963045i | ||||
\(364\) | 9.07515e11 | − | 5.23954e11i | 0.142019 | − | 0.0819948i | ||||
\(365\) | 1.64473e12 | 0.253882 | ||||||||
\(366\) | 4.67338e12i | 0.711583i | ||||||||
\(367\) | −4.89483e12 | − | 8.47810e12i | −0.735204 | − | 1.27341i | −0.954634 | − | 0.297782i | \(-0.903753\pi\) |
0.219430 | − | 0.975628i | \(-0.429580\pi\) | |||||||
\(368\) | 2.26891e12 | + | 3.92987e12i | 0.336185 | + | 0.582290i | ||||
\(369\) | 1.73688e12 | − | 3.00836e12i | 0.253885 | − | 0.439742i | ||||
\(370\) | −4.35438e11 | − | 2.51400e11i | −0.0627939 | − | 0.0362541i | ||||
\(371\) | 5.71123e12i | 0.812569i | ||||||||
\(372\) | −2.91876e12 | − | 1.68515e12i | −0.409717 | − | 0.236550i | ||||
\(373\) | −3.28707e12 | − | 1.89779e12i | −0.455266 | − | 0.262848i | 0.254786 | − | 0.966998i | \(-0.417995\pi\) |
−0.710052 | + | 0.704150i | \(0.751328\pi\) | |||||||
\(374\) | 2.76500e12 | + | 1.59637e12i | 0.377865 | + | 0.218161i | ||||
\(375\) | 7.39288e12 | + | 1.28049e13i | 0.996914 | + | 1.72671i | ||||
\(376\) | − | 4.21919e12i | − | 0.561422i | ||||||
\(377\) | 1.91650e11 | − | 1.10649e11i | 0.0251652 | − | 0.0145292i | ||||
\(378\) | −2.54812e12 | − | 1.47116e12i | −0.330187 | − | 0.190634i | ||||
\(379\) | −4.64186e12 | −0.593603 | −0.296801 | − | 0.954939i | \(-0.595920\pi\) | ||||
−0.296801 | + | 0.954939i | \(0.595920\pi\) | |||||||
\(380\) | −1.22688e11 | + | 2.12503e11i | −0.0154841 | + | 0.0268192i | ||||
\(381\) | 6.67607e12 | − | 3.85443e12i | 0.831565 | − | 0.480104i | ||||
\(382\) | 1.34056e12 | + | 2.32192e12i | 0.164805 | + | 0.285451i | ||||
\(383\) | − | 6.10257e12i | − | 0.740489i | −0.928934 | − | 0.370245i | \(-0.879274\pi\) | ||
0.928934 | − | 0.370245i | \(-0.120726\pi\) | |||||||
\(384\) | −6.10925e12 | − | 1.05815e13i | −0.731698 | − | 1.26734i | ||||
\(385\) | −5.29706e12 | −0.626226 | ||||||||
\(386\) | − | 2.85074e12i | − | 0.332676i | ||||||
\(387\) | 1.16986e13 | − | 1.82656e13i | 1.34765 | − | 2.10416i | ||||
\(388\) | 1.24245e13 | 1.41292 | ||||||||
\(389\) | − | 6.06331e12i | − | 0.680709i | −0.940297 | − | 0.340355i | \(-0.889453\pi\) | ||
0.940297 | − | 0.340355i | \(-0.110547\pi\) | |||||||
\(390\) | 6.57444e11 | − | 3.79575e11i | 0.0728678 | − | 0.0420702i | ||||
\(391\) | 9.91276e12 | 1.08470 | ||||||||
\(392\) | 2.17310e12 | − | 1.25464e12i | 0.234773 | − | 0.135546i | ||||
\(393\) | −1.27888e13 | − | 2.21508e13i | −1.36416 | − | 2.36280i | ||||
\(394\) | 1.11521e12 | + | 6.43866e11i | 0.117456 | + | 0.0678132i | ||||
\(395\) | 5.31514e12i | 0.552750i | ||||||||
\(396\) | 1.64775e13 | − | 2.85398e13i | 1.69206 | − | 2.93073i | ||||
\(397\) | −5.08732e12 | − | 8.81150e12i | −0.515866 | − | 0.893506i | −0.999830 | − | 0.0184181i | \(-0.994137\pi\) |
0.483965 | − | 0.875088i | \(-0.339196\pi\) | |||||||
\(398\) | 3.97176e12 | 0.397711 | ||||||||
\(399\) | −4.54774e11 | + | 2.62564e11i | −0.0449708 | + | 0.0259639i | ||||
\(400\) | −2.11792e12 | + | 3.66834e12i | −0.206828 | + | 0.358237i | ||||
\(401\) | −4.79369e12 | + | 8.30291e12i | −0.462326 | + | 0.800771i | −0.999076 | − | 0.0429695i | \(-0.986318\pi\) |
0.536751 | + | 0.843741i | \(0.319652\pi\) | |||||||
\(402\) | −2.14291e12 | + | 3.71164e12i | −0.204115 | + | 0.353537i | ||||
\(403\) | 7.97172e11 | 0.0749940 | ||||||||
\(404\) | 5.19949e11 | − | 9.00578e11i | 0.0483119 | − | 0.0836786i | ||||
\(405\) | 1.86026e13 | + | 1.07402e13i | 1.70726 | + | 0.985685i | ||||
\(406\) | −1.33951e11 | + | 7.73368e10i | −0.0121427 | + | 0.00701062i | ||||
\(407\) | 6.26028e12 | − | 3.61438e12i | 0.560560 | − | 0.323639i | ||||
\(408\) | −1.26333e13 | −1.11742 | ||||||||
\(409\) | 7.62959e12i | 0.666629i | 0.942816 | + | 0.333315i | \(0.108167\pi\) | ||||
−0.942816 | + | 0.333315i | \(0.891833\pi\) | |||||||
\(410\) | −1.87867e11 | − | 3.25396e11i | −0.0162156 | − | 0.0280862i | ||||
\(411\) | −1.51181e13 | − | 2.61853e13i | −1.28910 | − | 2.23279i | ||||
\(412\) | −7.46534e12 | + | 1.29303e13i | −0.628873 | + | 1.08924i | ||||
\(413\) | 1.13147e13 | + | 6.53254e12i | 0.941656 | + | 0.543665i | ||||
\(414\) | 5.31492e12i | 0.437014i | ||||||||
\(415\) | −1.47497e13 | − | 8.51575e12i | −1.19824 | − | 0.691803i | ||||
\(416\) | 1.89552e12 | + | 1.09438e12i | 0.152147 | + | 0.0878419i | ||||
\(417\) | 1.95207e13 | + | 1.12703e13i | 1.54816 | + | 0.893828i | ||||
\(418\) | 9.16256e10 | + | 1.58700e11i | 0.00718018 | + | 0.0124364i | ||||
\(419\) | 3.55569e12i | 0.275330i | 0.990479 | + | 0.137665i | \(0.0439597\pi\) | ||||
−0.990479 | + | 0.137665i | \(0.956040\pi\) | |||||||
\(420\) | 8.84610e12 | − | 5.10730e12i | 0.676870 | − | 0.390791i | ||||
\(421\) | −1.04110e13 | − | 6.01078e12i | −0.787192 | − | 0.454486i | 0.0517809 | − | 0.998658i | \(-0.483510\pi\) |
−0.838973 | + | 0.544173i | \(0.816844\pi\) | |||||||
\(422\) | 3.88814e12 | 0.290522 | ||||||||
\(423\) | −2.19145e13 | + | 3.79571e13i | −1.61819 | + | 2.80279i | ||||
\(424\) | −6.82959e12 | + | 3.94307e12i | −0.498386 | + | 0.287743i | ||||
\(425\) | 4.62654e12 | + | 8.01340e12i | 0.333666 | + | 0.577926i | ||||
\(426\) | − | 9.03398e11i | − | 0.0643919i | ||||||
\(427\) | −7.43665e12 | − | 1.28807e13i | −0.523888 | − | 0.907400i | ||||
\(428\) | 1.33891e12 | 0.0932247 | ||||||||
\(429\) | 1.09143e13i | 0.751119i | ||||||||
\(430\) | −1.07830e12 | − | 2.08368e12i | −0.0733498 | − | 0.141739i | ||||
\(431\) | 2.16720e13 | 1.45718 | 0.728588 | − | 0.684953i | \(-0.240177\pi\) | ||||
0.728588 | + | 0.684953i | \(0.240177\pi\) | |||||||
\(432\) | 3.60335e13i | 2.39490i | ||||||||
\(433\) | 1.77668e12 | − | 1.02577e12i | 0.116727 | − | 0.0673922i | −0.440500 | − | 0.897753i | \(-0.645199\pi\) |
0.557227 | + | 0.830360i | \(0.311865\pi\) | |||||||
\(434\) | −5.57174e11 | −0.0361862 | ||||||||
\(435\) | 1.86812e12 | − | 1.07856e12i | 0.119939 | − | 0.0692467i | ||||
\(436\) | −4.48807e12 | − | 7.77357e12i | −0.284857 | − | 0.493388i | ||||
\(437\) | 4.92729e11 | + | 2.84477e11i | 0.0309172 | + | 0.0178501i | ||||
\(438\) | 2.36862e12i | 0.146935i | ||||||||
\(439\) | −1.10726e13 | + | 1.91784e13i | −0.679092 | + | 1.17622i | 0.296162 | + | 0.955138i | \(0.404293\pi\) |
−0.975255 | + | 0.221085i | \(0.929040\pi\) | |||||||
\(440\) | −3.65712e12 | − | 6.33432e12i | −0.221756 | − | 0.384093i | ||||
\(441\) | −2.60664e13 | −1.56275 | ||||||||
\(442\) | 1.26115e12 | − | 7.28122e11i | 0.0747573 | − | 0.0431612i | ||||
\(443\) | 1.67122e12 | − | 2.89465e12i | 0.0979527 | − | 0.169659i | −0.812884 | − | 0.582425i | \(-0.802104\pi\) |
0.910837 | + | 0.412766i | \(0.135437\pi\) | |||||||
\(444\) | −6.96979e12 | + | 1.20720e13i | −0.403929 | + | 0.699625i | ||||
\(445\) | 2.80568e12 | − | 4.85958e12i | 0.160782 | − | 0.278483i | ||||
\(446\) | 3.56088e12 | 0.201782 | ||||||||
\(447\) | −1.52488e13 | + | 2.64116e13i | −0.854471 | + | 1.47999i | ||||
\(448\) | 6.84670e12 | + | 3.95294e12i | 0.379394 | + | 0.219043i | ||||
\(449\) | 4.69940e12 | − | 2.71320e12i | 0.257520 | − | 0.148679i | −0.365683 | − | 0.930740i | \(-0.619164\pi\) |
0.623203 | + | 0.782060i | \(0.285831\pi\) | |||||||
\(450\) | −4.29654e12 | + | 2.48061e12i | −0.232839 | + | 0.134430i | ||||
\(451\) | 5.40193e12 | 0.289512 | ||||||||
\(452\) | 3.02810e13i | 1.60501i | ||||||||
\(453\) | −2.31528e13 | − | 4.01018e13i | −1.21370 | − | 2.10219i | ||||
\(454\) | −1.75582e12 | − | 3.04118e12i | −0.0910336 | − | 0.157675i | ||||
\(455\) | −1.20802e12 | + | 2.09235e12i | −0.0619466 | + | 0.107295i | ||||
\(456\) | −6.27957e11 | − | 3.62551e11i | −0.0318497 | − | 0.0183884i | ||||
\(457\) | − | 2.77354e13i | − | 1.39140i | −0.718331 | − | 0.695702i | \(-0.755093\pi\) | ||
0.718331 | − | 0.695702i | \(-0.244907\pi\) | |||||||
\(458\) | −3.52844e12 | − | 2.03715e12i | −0.175088 | − | 0.101087i | ||||
\(459\) | 6.81686e13 | + | 3.93572e13i | 3.34596 | + | 1.93179i | ||||
\(460\) | −9.58438e12 | − | 5.53355e12i | −0.465345 | − | 0.268667i | ||||
\(461\) | −8.10810e11 | − | 1.40436e12i | −0.0389417 | − | 0.0674489i | 0.845898 | − | 0.533345i | \(-0.179065\pi\) |
−0.884839 | + | 0.465896i | \(0.845732\pi\) | |||||||
\(462\) | − | 7.62842e12i | − | 0.362430i | ||||||
\(463\) | −6.23930e12 | + | 3.60226e12i | −0.293245 | + | 0.169305i | −0.639405 | − | 0.768871i | \(-0.720819\pi\) |
0.346159 | + | 0.938176i | \(0.387486\pi\) | |||||||
\(464\) | 1.64046e12 | + | 9.47119e11i | 0.0762738 | + | 0.0440367i | ||||
\(465\) | 7.77052e12 | 0.357425 | ||||||||
\(466\) | −6.85128e11 | + | 1.18668e12i | −0.0311776 | + | 0.0540012i | ||||
\(467\) | −5.12440e12 | + | 2.95857e12i | −0.230706 | + | 0.133198i | −0.610898 | − | 0.791710i | \(-0.709191\pi\) |
0.380192 | + | 0.924908i | \(0.375858\pi\) | |||||||
\(468\) | −7.51555e12 | − | 1.30173e13i | −0.334758 | − | 0.579818i | ||||
\(469\) | − | 1.36399e13i | − | 0.601101i | ||||||
\(470\) | 2.37036e12 | + | 4.10559e12i | 0.103354 | + | 0.179014i | ||||
\(471\) | −6.78504e13 | −2.92717 | ||||||||
\(472\) | 1.80404e13i | 0.770081i | ||||||||
\(473\) | 3.36949e13 | + | 1.55271e12i | 1.42317 | + | 0.0655819i | ||||
\(474\) | −7.65445e12 | −0.319906 | ||||||||
\(475\) | 5.31091e11i | 0.0219635i | ||||||||
\(476\) | 1.69691e13 | − | 9.79710e12i | 0.694422 | − | 0.400925i | ||||
\(477\) | 8.19214e13 | 3.31746 | ||||||||
\(478\) | 2.65382e12 | − | 1.53218e12i | 0.106349 | − | 0.0614005i | ||||
\(479\) | −1.10626e13 | − | 1.91609e13i | −0.438711 | − | 0.759870i | 0.558879 | − | 0.829249i | \(-0.311231\pi\) |
−0.997590 | + | 0.0693792i | \(0.977898\pi\) | |||||||
\(480\) | 1.84768e13 | + | 1.06676e13i | 0.725138 | + | 0.418658i | ||||
\(481\) | − | 3.29711e12i | − | 0.128058i | ||||||
\(482\) | 1.33649e12 | − | 2.31487e12i | 0.0513725 | − | 0.0889798i | ||||
\(483\) | −1.18423e13 | − | 2.05114e13i | −0.450504 | − | 0.780297i | ||||
\(484\) | 2.59989e13 | 0.978878 | ||||||||
\(485\) | −2.48079e13 | + | 1.43228e13i | −0.924445 | + | 0.533728i | ||||
\(486\) | −7.02212e12 | + | 1.21627e13i | −0.258992 | + | 0.448588i | ||||
\(487\) | 2.46698e13 | − | 4.27293e13i | 0.900576 | − | 1.55984i | 0.0738273 | − | 0.997271i | \(-0.476479\pi\) |
0.826748 | − | 0.562572i | \(-0.190188\pi\) | |||||||
\(488\) | 1.02686e13 | − | 1.77858e13i | 0.371033 | − | 0.642648i | ||||
\(489\) | −1.91860e13 | −0.686182 | ||||||||
\(490\) | −1.40972e12 | + | 2.44171e12i | −0.0499061 | + | 0.0864399i | ||||
\(491\) | −2.31349e13 | − | 1.33569e13i | −0.810699 | − | 0.468057i | 0.0364998 | − | 0.999334i | \(-0.488379\pi\) |
−0.847198 | + | 0.531277i | \(0.821712\pi\) | |||||||
\(492\) | −9.02123e12 | + | 5.20841e12i | −0.312925 | + | 0.180667i | ||||
\(493\) | 3.58354e12 | − | 2.06896e12i | 0.123049 | − | 0.0710423i | ||||
\(494\) | 8.35828e10 | 0.00284107 | ||||||||
\(495\) | 7.59805e13i | 2.55668i | ||||||||
\(496\) | 3.41177e12 | + | 5.90935e12i | 0.113650 | + | 0.196848i | ||||
\(497\) | 1.43756e12 | + | 2.48993e12i | 0.0474072 | + | 0.0821116i | ||||
\(498\) | 1.22637e13 | − | 2.12414e13i | 0.400383 | − | 0.693484i | ||||
\(499\) | 4.07141e12 | + | 2.35063e12i | 0.131596 | + | 0.0759768i | 0.564353 | − | 0.825534i | \(-0.309126\pi\) |
−0.432757 | + | 0.901511i | \(0.642459\pi\) | |||||||
\(500\) | − | 3.16657e13i | − | 1.01330i | ||||||
\(501\) | 3.65630e13 | + | 2.11096e13i | 1.15838 | + | 0.668794i | ||||
\(502\) | 5.63708e12 | + | 3.25457e12i | 0.176822 | + | 0.102088i | ||||
\(503\) | −4.36304e13 | − | 2.51900e13i | −1.35503 | − | 0.782328i | −0.366082 | − | 0.930582i | \(-0.619301\pi\) |
−0.988949 | + | 0.148255i | \(0.952634\pi\) | |||||||
\(504\) | 1.07787e13 | + | 1.86692e13i | 0.331446 | + | 0.574081i | ||||
\(505\) | 2.39757e12i | 0.0729987i | ||||||||
\(506\) | −7.15777e12 | + | 4.13254e12i | −0.215787 | + | 0.124585i | ||||
\(507\) | −4.99546e13 | − | 2.88413e13i | −1.49120 | − | 0.860944i | ||||
\(508\) | −1.65096e13 | −0.487997 | ||||||||
\(509\) | −5.64287e11 | + | 9.77375e11i | −0.0165163 | + | 0.0286070i | −0.874165 | − | 0.485628i | \(-0.838591\pi\) |
0.857649 | + | 0.514235i | \(0.171924\pi\) | |||||||
\(510\) | 1.22931e13 | − | 7.09745e12i | 0.356297 | − | 0.205708i | ||||
\(511\) | −3.76914e12 | − | 6.52834e12i | −0.108178 | − | 0.187369i | ||||
\(512\) | 3.17640e13i | 0.902787i | ||||||||
\(513\) | 2.25895e12 | + | 3.91261e12i | 0.0635798 | + | 0.110123i | ||||
\(514\) | −1.08512e13 | −0.302455 | ||||||||
\(515\) | − | 3.44239e13i | − | 0.950221i | ||||||
\(516\) | −5.77676e13 | + | 2.98947e13i | −1.57919 | + | 0.817234i | ||||
\(517\) | −6.81573e13 | −1.84527 | ||||||||
\(518\) | 2.30448e12i | 0.0617907i | ||||||||
\(519\) | 7.12071e13 | − | 4.11114e13i | 1.89098 | − | 1.09176i | ||||
\(520\) | −3.33610e12 | −0.0877450 | ||||||||
\(521\) | −6.67141e12 | + | 3.85174e12i | −0.173792 | + | 0.100339i | −0.584372 | − | 0.811486i | \(-0.698659\pi\) |
0.410581 | + | 0.911824i | \(0.365326\pi\) | |||||||
\(522\) | 1.10931e12 | + | 1.92138e12i | 0.0286221 | + | 0.0495749i | ||||
\(523\) | 4.90968e13 | + | 2.83461e13i | 1.25471 | + | 0.724410i | 0.972042 | − | 0.234807i | \(-0.0754457\pi\) |
0.282672 | + | 0.959216i | \(0.408779\pi\) | |||||||
\(524\) | 5.47777e13i | 1.38659i | ||||||||
\(525\) | 1.10542e13 | − | 1.91464e13i | 0.277160 | − | 0.480054i | ||||
\(526\) | 4.13589e12 | + | 7.16357e12i | 0.102716 | + | 0.177910i | ||||
\(527\) | 1.49058e13 | 0.366694 | ||||||||
\(528\) | −8.09065e13 | + | 4.67114e13i | −1.97158 | + | 1.13829i | ||||
\(529\) | 7.88265e12 | − | 1.36531e13i | 0.190280 | − | 0.329575i | ||||
\(530\) | 4.43047e12 | − | 7.67380e12i | 0.105943 | − | 0.183498i | ||||
\(531\) | 9.37021e13 | − | 1.62297e14i | 2.21961 | − | 3.84448i | ||||
\(532\) | 1.12463e12 | 0.0263908 | ||||||||
\(533\) | 1.23194e12 | − | 2.13378e12i | 0.0286387 | − | 0.0496036i | ||||
\(534\) | 6.99839e12 | + | 4.04052e12i | 0.161173 | + | 0.0930532i | ||||
\(535\) | −2.67339e12 | + | 1.54348e12i | −0.0609948 | + | 0.0352154i | ||||
\(536\) | 1.63108e13 | − | 9.41707e12i | 0.368682 | − | 0.212859i | ||||
\(537\) | 7.16010e13 | 1.60342 | ||||||||
\(538\) | 1.28208e13i | 0.284448i | ||||||||
\(539\) | −2.02676e13 | − | 3.51045e13i | −0.445510 | − | 0.771647i | ||||
\(540\) | −4.39402e13 | − | 7.61067e13i | −0.956960 | − | 1.65750i | ||||
\(541\) | −1.00836e12 | + | 1.74653e12i | −0.0217585 | + | 0.0376868i | −0.876700 | − | 0.481038i | \(-0.840260\pi\) |
0.854941 | + | 0.518725i | \(0.173593\pi\) | |||||||
\(542\) | −2.81458e12 | − | 1.62500e12i | −0.0601752 | − | 0.0347422i | ||||
\(543\) | − | 3.82570e13i | − | 0.810422i | ||||||
\(544\) | 3.54432e13 | + | 2.04632e13i | 0.743941 | + | 0.429515i | ||||
\(545\) | 1.79226e13 | + | 1.03476e13i | 0.372752 | + | 0.215208i | ||||
\(546\) | −3.01325e12 | − | 1.73970e12i | −0.0620972 | − | 0.0358518i | ||||
\(547\) | −2.26585e13 | − | 3.92458e13i | −0.462696 | − | 0.801412i | 0.536399 | − | 0.843965i | \(-0.319784\pi\) |
−0.999094 | + | 0.0425524i | \(0.986451\pi\) | |||||||
\(548\) | 6.47549e13i | 1.31030i | ||||||||
\(549\) | −1.84759e14 | + | 1.06671e14i | −3.70462 | + | 2.13886i | ||||
\(550\) | −6.68143e12 | − | 3.85752e12i | −0.132757 | − | 0.0766470i | ||||
\(551\) | 2.37500e11 | 0.00467634 | ||||||||
\(552\) | 1.63519e13 | − | 2.83224e13i | 0.319061 | − | 0.552630i | ||||
\(553\) | 2.10970e13 | − | 1.21804e13i | 0.407940 | − | 0.235524i | ||||
\(554\) | 4.01267e12 | + | 6.95015e12i | 0.0768926 | + | 0.133182i | ||||
\(555\) | − | 3.21389e13i | − | 0.610332i | ||||||
\(556\) | −2.41368e13 | − | 4.18061e13i | −0.454261 | − | 0.786803i | ||||
\(557\) | −7.57973e13 | −1.41377 | −0.706884 | − | 0.707330i | \(-0.749900\pi\) | ||||
−0.706884 | + | 0.707330i | \(0.749900\pi\) | |||||||
\(558\) | 7.99205e12i | 0.147736i | ||||||||
\(559\) | 8.29761e12 | − | 1.29555e13i | 0.152018 | − | 0.237353i | ||||
\(560\) | −2.06805e13 | −0.375510 | ||||||||
\(561\) | 2.04080e14i | 3.67270i | ||||||||
\(562\) | −3.13376e12 | + | 1.80928e12i | −0.0558964 | + | 0.0322718i | ||||
\(563\) | 8.90346e13 | 1.57404 | 0.787022 | − | 0.616925i | \(-0.211622\pi\) | ||||
0.787022 | + | 0.616925i | \(0.211622\pi\) | |||||||
\(564\) | 1.13823e14 | − | 6.57156e13i | 1.99450 | − | 1.15152i | ||||
\(565\) | −3.49077e13 | − | 6.04619e13i | −0.606288 | − | 1.05012i | ||||
\(566\) | 2.62701e12 | + | 1.51671e12i | 0.0452251 | + | 0.0261107i | ||||
\(567\) | − | 9.84509e13i | − | 1.67998i | ||||||
\(568\) | −1.98500e12 | + | 3.43812e12i | −0.0335752 | + | 0.0581539i | ||||
\(569\) | 2.93387e11 | + | 5.08161e11i | 0.00491903 | + | 0.00852001i | 0.868474 | − | 0.495734i | \(-0.165101\pi\) |
−0.863555 | + | 0.504254i | \(0.831768\pi\) | |||||||
\(570\) | 8.14732e11 | 0.0135407 | ||||||||
\(571\) | 2.77373e13 | − | 1.60142e13i | 0.456966 | − | 0.263830i | −0.253801 | − | 0.967256i | \(-0.581681\pi\) |
0.710768 | + | 0.703427i | \(0.248348\pi\) | |||||||
\(572\) | 1.16872e13 | − | 2.02428e13i | 0.190867 | − | 0.330591i | ||||
\(573\) | −8.56885e13 | + | 1.48417e14i | −1.38723 | + | 2.40276i | ||||
\(574\) | −8.61049e11 | + | 1.49138e12i | −0.0138187 | + | 0.0239347i | ||||
\(575\) | −2.39535e13 | −0.381092 | ||||||||
\(576\) | 5.67006e13 | − | 9.82083e13i | 0.894284 | − | 1.54894i | ||||
\(577\) | −5.68126e13 | − | 3.28008e13i | −0.888312 | − | 0.512867i | −0.0149220 | − | 0.999889i | \(-0.504750\pi\) |
−0.873390 | + | 0.487021i | \(0.838083\pi\) | |||||||
\(578\) | 1.11664e13 | − | 6.44692e12i | 0.173091 | − | 0.0999340i | ||||
\(579\) | 1.57806e14 | − | 9.11093e13i | 2.42511 | − | 1.40014i | ||||
\(580\) | −4.61977e12 | −0.0703851 | ||||||||
\(581\) | 7.80602e13i | 1.17909i | ||||||||
\(582\) | −2.06266e13 | − | 3.57264e13i | −0.308897 | − | 0.535025i | ||||
\(583\) | 6.36968e13 | + | 1.10326e14i | 0.945746 | + | 1.63808i | ||||
\(584\) | 5.20447e12 | − | 9.01440e12i | 0.0766147 | − | 0.132701i | ||||
\(585\) | 3.00125e13 | + | 1.73277e13i | 0.438050 | + | 0.252908i | ||||
\(586\) | − | 2.45879e13i | − | 0.355822i | ||||||
\(587\) | 1.67337e13 | + | 9.66122e12i | 0.240106 | + | 0.138625i | 0.615225 | − | 0.788351i | \(-0.289065\pi\) |
−0.375120 | + | 0.926976i | \(0.622398\pi\) | |||||||
\(588\) | 6.76938e13 | + | 3.90830e13i | 0.963079 | + | 0.556034i | ||||
\(589\) | 7.40917e11 | + | 4.27768e11i | 0.0104518 | + | 0.00603437i | ||||
\(590\) | −1.01352e13 | − | 1.75547e13i | −0.141766 | − | 0.245546i | ||||
\(591\) | 8.23115e13i | 1.14162i | ||||||||
\(592\) | 2.44411e13 | − | 1.41111e13i | 0.336134 | − | 0.194067i | ||||
\(593\) | −1.04983e14 | − | 6.06121e13i | −1.43168 | − | 0.826582i | −0.434433 | − | 0.900704i | \(-0.643051\pi\) |
−0.997249 | + | 0.0741225i | \(0.976384\pi\) | |||||||
\(594\) | −6.56305e13 | −0.887511 | ||||||||
\(595\) | −2.25881e13 | + | 3.91237e13i | −0.302896 | + | 0.524632i | ||||
\(596\) | 5.65641e13 | − | 3.26573e13i | 0.752159 | − | 0.434259i | ||||
\(597\) | 1.26937e14 | + | 2.19861e14i | 1.67385 | + | 2.89919i | ||||
\(598\) | 3.76979e12i | 0.0492959i | ||||||||
\(599\) | −2.34037e13 | − | 4.05363e13i | −0.303494 | − | 0.525666i | 0.673431 | − | 0.739250i | \(-0.264820\pi\) |
−0.976925 | + | 0.213583i | \(0.931486\pi\) | |||||||
\(600\) | 3.05275e13 | 0.392586 | ||||||||
\(601\) | 9.07247e13i | 1.15705i | 0.815664 | + | 0.578527i | \(0.196372\pi\) | ||||
−0.815664 | + | 0.578527i | \(0.803628\pi\) | |||||||
\(602\) | −5.79952e12 | + | 9.05508e12i | −0.0733516 | + | 0.114528i | ||||
\(603\) | −1.95649e14 | −2.45410 | ||||||||
\(604\) | 9.91696e13i | 1.23366i | ||||||||
\(605\) | −5.19119e13 | + | 2.99714e13i | −0.640457 | + | 0.369768i | ||||
\(606\) | −3.45280e12 | −0.0422483 | ||||||||
\(607\) | −2.37638e12 | + | 1.37200e12i | −0.0288385 | + | 0.0166499i | −0.514350 | − | 0.857580i | \(-0.671967\pi\) |
0.485511 | + | 0.874230i | \(0.338633\pi\) | |||||||
\(608\) | 1.17451e12 | + | 2.03430e12i | 0.0141363 | + | 0.0244849i | ||||
\(609\) | −8.56214e12 | − | 4.94335e12i | −0.102211 | − | 0.0590113i | ||||
\(610\) | 2.30758e13i | 0.273217i | ||||||||
\(611\) | −1.55436e13 | + | 2.69223e13i | −0.182535 | + | 0.316160i | ||||
\(612\) | −1.40529e14 | − | 2.43403e14i | −1.63685 | − | 2.83510i | ||||
\(613\) | 1.14718e14 | 1.32534 | 0.662671 | − | 0.748911i | \(-0.269423\pi\) | ||||
0.662671 | + | 0.748911i | \(0.269423\pi\) | |||||||
\(614\) | −1.85159e13 | + | 1.06902e13i | −0.212180 | + | 0.122502i | ||||
\(615\) | 1.20084e13 | − | 2.07992e13i | 0.136493 | − | 0.236413i | ||||
\(616\) | −1.67616e13 | + | 2.90320e13i | −0.188978 | + | 0.327320i | ||||
\(617\) | −1.25510e13 | + | 2.17390e13i | −0.140363 | + | 0.243116i | −0.927633 | − | 0.373492i | \(-0.878160\pi\) |
0.787270 | + | 0.616608i | \(0.211494\pi\) | |||||||
\(618\) | 4.95747e13 | 0.549943 | ||||||||
\(619\) | −2.91027e13 | + | 5.04073e13i | −0.320243 | + | 0.554677i | −0.980538 | − | 0.196329i | \(-0.937098\pi\) |
0.660295 | + | 0.751006i | \(0.270431\pi\) | |||||||
\(620\) | −1.44121e13 | − | 8.32080e12i | −0.157314 | − | 0.0908253i | ||||
\(621\) | −1.76468e14 | + | 1.01884e14i | −1.91077 | + | 1.10318i | ||||
\(622\) | −1.17687e13 | + | 6.79464e12i | −0.126408 | + | 0.0729818i | ||||
\(623\) | −2.57184e13 | −0.274034 | ||||||||
\(624\) | 4.26111e13i | 0.450401i | ||||||||
\(625\) | 1.34153e13 | + | 2.32359e13i | 0.140669 | + | 0.243646i | ||||
\(626\) | −1.66101e13 | − | 2.87695e13i | −0.172783 | − | 0.299269i | ||||
\(627\) | −5.85669e12 | + | 1.01441e13i | −0.0604386 | + | 0.104683i | ||||
\(628\) | 1.25843e14 | + | 7.26554e13i | 1.28834 | + | 0.743823i | ||||
\(629\) | − | 6.16506e13i | − | 0.626158i | ||||||
\(630\) | −2.09769e13 | − | 1.21110e13i | −0.211368 | − | 0.122033i | ||||
\(631\) | 7.13493e13 | + | 4.11935e13i | 0.713252 | + | 0.411796i | 0.812264 | − | 0.583290i | \(-0.198235\pi\) |
−0.0990123 | + | 0.995086i | \(0.531568\pi\) | |||||||
\(632\) | 2.91310e13 | + | 1.68188e13i | 0.288915 | + | 0.166805i | ||||
\(633\) | 1.24264e14 | + | 2.15232e14i | 1.22272 | + | 2.11782i | ||||
\(634\) | 4.14753e13i | 0.404895i | ||||||||
\(635\) | 3.29646e13 | − | 1.90321e13i | 0.319285 | − | 0.184339i | ||||
\(636\) | −2.12747e14 | − | 1.22830e14i | −2.04446 | − | 1.18037i | ||||
\(637\) | −1.84885e13 | −0.176281 | ||||||||
\(638\) | −1.72506e12 | + | 2.98789e12i | −0.0163193 | + | 0.0282658i | ||||
\(639\) | 3.57153e13 | − | 2.06202e13i | 0.335235 | − | 0.193548i | ||||
\(640\) | −3.01658e13 | − | 5.22486e13i | −0.280941 | − | 0.486603i | ||||
\(641\) | 2.19924e13i | 0.203227i | 0.994824 | + | 0.101614i | \(0.0324005\pi\) | ||||
−0.994824 | + | 0.101614i | \(0.967599\pi\) | |||||||
\(642\) | −2.22280e12 | − | 3.85001e12i | −0.0203810 | − | 0.0353009i | ||||
\(643\) | −6.08068e13 | −0.553219 | −0.276609 | − | 0.960982i | \(-0.589211\pi\) | ||||
−0.276609 | + | 0.960982i | \(0.589211\pi\) | |||||||
\(644\) | 5.07236e13i | 0.457911i | ||||||||
\(645\) | 8.08818e13 | − | 1.26285e14i | 0.724523 | − | 1.13123i | ||||
\(646\) | 1.56286e12 | 0.0138918 | ||||||||
\(647\) | − | 3.18475e13i | − | 0.280902i | −0.990088 | − | 0.140451i | \(-0.955145\pi\) | ||
0.990088 | − | 0.140451i | \(-0.0448552\pi\) | |||||||
\(648\) | 1.17729e14 | − | 6.79711e13i | 1.03041 | − | 0.594907i | ||||
\(649\) | 2.91427e14 | 2.53108 | ||||||||
\(650\) | −3.04747e12 | + | 1.75946e12i | −0.0262647 | + | 0.0151639i | ||||
\(651\) | −1.78072e13 | − | 3.08430e13i | −0.152297 | − | 0.263786i | ||||
\(652\) | 3.55844e13 | + | 2.05447e13i | 0.302010 | + | 0.174366i | ||||
\(653\) | − | 2.91392e13i | − | 0.245421i | −0.992443 | − | 0.122710i | \(-0.960841\pi\) | ||
0.992443 | − | 0.122710i | \(-0.0391586\pi\) | |||||||
\(654\) | −1.49019e13 | + | 2.58108e13i | −0.124552 | + | 0.215731i | ||||
\(655\) | −6.31473e13 | − | 1.09374e14i | −0.523780 | − | 0.907213i | ||||
\(656\) | 2.10900e13 | 0.173603 | ||||||||
\(657\) | −9.36418e13 | + | 5.40641e13i | −0.764968 | + | 0.441654i | ||||
\(658\) | 1.08640e13 | − | 1.88171e13i | 0.0880768 | − | 0.152553i | ||||
\(659\) | −5.37321e13 | + | 9.30668e13i | −0.432322 | + | 0.748803i | −0.997073 | − | 0.0764580i | \(-0.975639\pi\) |
0.564751 | + | 0.825261i | \(0.308972\pi\) | |||||||
\(660\) | 1.13922e14 | − | 1.97319e14i | 0.909681 | − | 1.57561i | ||||
\(661\) | −3.30632e13 | −0.262022 | −0.131011 | − | 0.991381i | \(-0.541822\pi\) | ||||
−0.131011 | + | 0.991381i | \(0.541822\pi\) | |||||||
\(662\) | −4.37077e12 | + | 7.57040e12i | −0.0343770 | + | 0.0595428i | ||||
\(663\) | 8.06121e13 | + | 4.65414e13i | 0.629263 | + | 0.363305i | ||||
\(664\) | −9.33457e13 | + | 5.38932e13i | −0.723193 | + | 0.417535i | ||||
\(665\) | −2.24555e12 | + | 1.29647e12i | −0.0172669 | + | 0.00996903i | ||||
\(666\) | 3.30552e13 | 0.252272 | ||||||||
\(667\) | 1.07118e13i | 0.0811400i | ||||||||
\(668\) | −4.52091e13 | − | 7.83045e13i | −0.339894 | − | 0.588714i | ||||
\(669\) | 1.13805e14 | + | 1.97117e14i | 0.849243 | + | 1.47093i | ||||
\(670\) | −1.05811e13 | + | 1.83270e13i | −0.0783713 | + | 0.135743i | ||||
\(671\) | −2.87313e14 | − | 1.65880e14i | −2.11224 | − | 1.21950i | ||||
\(672\) | − | 9.77851e13i | − | 0.713553i | ||||||
\(673\) | −1.28341e14 | − | 7.40979e13i | −0.929589 | − | 0.536698i | −0.0429074 | − | 0.999079i | \(-0.513662\pi\) |
−0.886682 | + | 0.462381i | \(0.846995\pi\) | |||||||
\(674\) | −3.65618e13 | − | 2.11090e13i | −0.262862 | − | 0.151764i | ||||
\(675\) | −1.64725e14 | − | 9.51038e13i | −1.17555 | − | 0.678702i | ||||
\(676\) | 6.17675e13 | + | 1.06984e14i | 0.437549 | + | 0.757856i | ||||
\(677\) | − | 1.38619e14i | − | 0.974722i | −0.873201 | − | 0.487361i | \(-0.837960\pi\) | ||
0.873201 | − | 0.487361i | \(-0.162040\pi\) | |||||||
\(678\) | 8.70726e13 | − | 5.02714e13i | 0.607761 | − | 0.350891i | ||||
\(679\) | 1.13701e14 | + | 6.56456e13i | 0.787802 | + | 0.454838i | ||||
\(680\) | −6.23797e13 | −0.429041 | ||||||||
\(681\) | 1.12232e14 | − | 1.94391e14i | 0.766268 | − | 1.32721i | ||||
\(682\) | −1.07631e13 | + | 6.21411e12i | −0.0729487 | + | 0.0421169i | ||||
\(683\) | 2.15312e13 | + | 3.72931e13i | 0.144865 | + | 0.250914i | 0.929323 | − | 0.369269i | \(-0.120392\pi\) |
−0.784457 | + | 0.620183i | \(0.787058\pi\) | |||||||
\(684\) | − | 1.61316e13i | − | 0.107745i | ||||||
\(685\) | −7.46490e13 | − | 1.29296e14i | −0.494961 | − | 0.857298i | ||||
\(686\) | 3.35843e13 | 0.221063 | ||||||||
\(687\) | − | 2.60428e14i | − | 1.70178i | ||||||
\(688\) | 1.31550e14 | + | 6.06202e12i | 0.853392 | + | 0.0393256i | ||||
\(689\) | 5.81055e13 | 0.374215 | ||||||||
\(690\) | 3.67464e13i | 0.234947i | ||||||||
\(691\) | 1.89559e14 | − | 1.09442e14i | 1.20324 | − | 0.694693i | 0.241969 | − | 0.970284i | \(-0.422207\pi\) |
0.961275 | + | 0.275591i | \(0.0888734\pi\) | |||||||
\(692\) | −1.76091e14 | −1.10970 | ||||||||
\(693\) | 3.01585e14 | − | 1.74120e14i | 1.88687 | − | 1.08939i | ||||
\(694\) | 1.25366e13 | + | 2.17140e13i | 0.0778722 | + | 0.134879i | ||||
\(695\) | 9.63877e13 | + | 5.56495e13i | 0.594426 | + | 0.343192i | ||||
\(696\) | − | 1.36517e13i | − | 0.0835872i | ||||||
\(697\) | 2.30353e13 | − | 3.98982e13i | 0.140033 | − | 0.242544i | ||||
\(698\) | 3.24785e13 | + | 5.62545e13i | 0.196028 | + | 0.339531i | ||||
\(699\) | −8.75865e13 | −0.524869 | ||||||||
\(700\) | −4.10046e13 | + | 2.36740e13i | −0.243973 | + | 0.140858i | ||||
\(701\) | −7.99416e12 | + | 1.38463e13i | −0.0472262 | + | 0.0817981i | −0.888672 | − | 0.458543i | \(-0.848371\pi\) |
0.841446 | + | 0.540341i | \(0.181705\pi\) | |||||||
\(702\) | −1.49674e13 | + | 2.59243e13i | −0.0877931 | + | 0.152062i | ||||
\(703\) | 1.76925e12 | − | 3.06443e12i | 0.0103042 | − | 0.0178474i | ||||
\(704\) | 1.76347e14 | 1.01978 | ||||||||
\(705\) | −1.51513e14 | + | 2.62428e14i | −0.869970 | + | 1.50683i | ||||
\(706\) | 2.34093e13 | + | 1.35154e13i | 0.133464 | + | 0.0770556i | ||||
\(707\) | 9.51654e12 | − | 5.49438e12i | 0.0538744 | − | 0.0311044i | ||||
\(708\) | −4.86683e14 | + | 2.80987e14i | −2.73577 | + | 1.57950i | ||||
\(709\) | −1.67665e14 | −0.935862 | −0.467931 | − | 0.883765i | \(-0.655000\pi\) | ||||
−0.467931 | + | 0.883765i | \(0.655000\pi\) | |||||||
\(710\) | − | 4.46073e12i | − | 0.0247237i | ||||||
\(711\) | −1.74714e14 | − | 3.02614e14i | −0.961569 | − | 1.66549i | ||||
\(712\) | −1.77561e13 | − | 3.07545e13i | −0.0970395 | − | 0.168077i | ||||
\(713\) | −1.92934e13 | + | 3.34171e13i | −0.104703 | + | 0.181352i | ||||
\(714\) | −5.63429e13 | − | 3.25296e13i | −0.303632 | − | 0.175302i | ||||
\(715\) | 5.38917e13i | 0.288398i | ||||||||
\(716\) | −1.32799e14 | − | 7.66716e13i | −0.705716 | − | 0.407446i | ||||
\(717\) | 1.69632e14 | + | 9.79369e13i | 0.895181 | + | 0.516833i | ||||
\(718\) | −2.91830e13 | − | 1.68488e13i | −0.152935 | − | 0.0882973i | ||||
\(719\) | 1.35992e14 | + | 2.35545e14i | 0.707732 | + | 1.22583i | 0.965697 | + | 0.259673i | \(0.0836147\pi\) |
−0.257965 | + | 0.966154i | \(0.583052\pi\) | |||||||
\(720\) | 2.96640e14i | 1.53309i | ||||||||
\(721\) | −1.36637e14 | + | 7.88873e13i | −0.701280 | + | 0.404884i | ||||
\(722\) | −3.76789e13 | − | 2.17539e13i | −0.192049 | − | 0.110880i | ||||
\(723\) | 1.70856e14 | 0.864848 | ||||||||
\(724\) | −4.09662e13 | + | 7.09556e13i | −0.205936 | + | 0.356692i | ||||
\(725\) | −8.65937e12 | + | 4.99949e12i | −0.0432311 | + | 0.0249595i | ||||
\(726\) | −4.31625e13 | − | 7.47596e13i | −0.214005 | − | 0.370667i | ||||
\(727\) | 2.30468e14i | 1.13485i | 0.823425 | + | 0.567426i | \(0.192061\pi\) | ||||
−0.823425 | + | 0.567426i | \(0.807939\pi\) | |||||||
\(728\) | 7.64514e12 | + | 1.32418e13i | 0.0373877 | + | 0.0647574i | ||||
\(729\) | −3.32549e14 | −1.61517 | ||||||||
\(730\) | 1.16956e13i | 0.0564167i | ||||||||
\(731\) | 1.55152e14 | − | 2.42246e14i | 0.743311 | − | 1.16057i | ||||
\(732\) | 6.39752e14 | 3.04408 | ||||||||
\(733\) | − | 2.51868e14i | − | 1.19029i | −0.803618 | − | 0.595145i | \(-0.797095\pi\) | ||
0.803618 | − | 0.595145i | \(-0.202905\pi\) | |||||||
\(734\) | 6.02872e13 | − | 3.48068e13i | 0.282973 | − | 0.163374i | ||||
\(735\) | −1.80218e14 | −0.840161 | ||||||||
\(736\) | −9.17520e13 | + | 5.29731e13i | −0.424841 | + | 0.245282i | ||||
\(737\) | −1.52124e14 | − | 2.63487e14i | −0.699619 | − | 1.21178i | ||||
\(738\) | 2.13922e13 | + | 1.23508e13i | 0.0977178 | + | 0.0564174i | ||||
\(739\) | 1.14571e14i | 0.519818i | 0.965633 | + | 0.259909i | \(0.0836926\pi\) | ||||
−0.965633 | + | 0.259909i | \(0.916307\pi\) | |||||||
\(740\) | −3.44149e13 | + | 5.96083e13i | −0.155091 | + | 0.268626i | ||||
\(741\) | 2.67130e12 | + | 4.62682e12i | 0.0119572 | + | 0.0207105i | ||||
\(742\) | −4.06122e13 | −0.180566 | ||||||||
\(743\) | −1.82780e14 | + | 1.05528e14i | −0.807208 | + | 0.466042i | −0.845985 | − | 0.533206i | \(-0.820987\pi\) |
0.0387776 | + | 0.999248i | \(0.487654\pi\) | |||||||
\(744\) | 2.45884e13 | − | 4.25884e13i | 0.107861 | − | 0.186821i | ||||
\(745\) | −7.52942e13 | + | 1.30413e14i | −0.328080 | + | 0.568252i | ||||
\(746\) | 1.34951e13 | − | 2.33742e13i | 0.0584092 | − | 0.101168i | ||||
\(747\) | 1.11969e15 | 4.81386 | ||||||||
\(748\) | 2.18532e14 | − | 3.78509e14i | 0.933270 | − | 1.61647i | ||||
\(749\) | 1.22529e13 | + | 7.07420e12i | 0.0519791 | + | 0.0300102i | ||||
\(750\) | −9.10544e13 | + | 5.25703e13i | −0.383702 | + | 0.221531i | ||||
\(751\) | 1.96061e14 | − | 1.13196e14i | 0.820713 | − | 0.473839i | −0.0299492 | − | 0.999551i | \(-0.509535\pi\) |
0.850662 | + | 0.525712i | \(0.176201\pi\) | |||||||
\(752\) | −2.66097e14 | −1.10650 | ||||||||
\(753\) | 4.16063e14i | 1.71864i | ||||||||
\(754\) | 7.86817e11 | + | 1.36281e12i | 0.00322862 | + | 0.00559213i | ||||
\(755\) | −1.14322e14 | − | 1.98012e14i | −0.466010 | − | 0.807153i | ||||
\(756\) | −2.01390e14 | + | 3.48819e14i | −0.815511 | + | 1.41251i | ||||
\(757\) | 6.70047e13 | + | 3.86852e13i | 0.269542 | + | 0.155620i | 0.628679 | − | 0.777665i | \(-0.283596\pi\) |
−0.359138 | + | 0.933285i | \(0.616929\pi\) | |||||||
\(758\) | − | 3.30079e13i | − | 0.131908i | ||||||
\(759\) | −4.57523e14 | − | 2.64151e14i | −1.81637 | − | 1.04868i | ||||
\(760\) | −3.10068e12 | − | 1.79018e12i | −0.0122289 | − | 0.00706037i | ||||
\(761\) | 2.93251e13 | + | 1.69309e13i | 0.114899 | + | 0.0663370i | 0.556348 | − | 0.830949i | \(-0.312202\pi\) |
−0.441449 | + | 0.897286i | \(0.645535\pi\) | |||||||
\(762\) | 2.74086e13 | + | 4.74731e13i | 0.106687 | + | 0.184787i | ||||
\(763\) | − | 9.48523e13i | − | 0.366796i | ||||||
\(764\) | 3.17855e14 | − | 1.83513e14i | 1.22113 | − | 0.705020i | ||||
\(765\) | 5.61186e14 | + | 3.24001e14i | 2.14190 | + | 1.23663i | ||||
\(766\) | 4.33949e13 | 0.164549 | ||||||||
\(767\) | 6.64613e13 | − | 1.15114e14i | 0.250376 | − | 0.433664i | ||||
\(768\) | −2.34553e14 | + | 1.35419e14i | −0.877879 | + | 0.506844i | ||||
\(769\) | 1.31512e14 | + | 2.27786e14i | 0.489029 | + | 0.847023i | 0.999920 | − | 0.0126220i | \(-0.00401783\pi\) |
−0.510891 | + | 0.859645i | \(0.670684\pi\) | |||||||
\(770\) | − | 3.76670e13i | − | 0.139158i | ||||||
\(771\) | −3.46802e14 | − | 6.00678e14i | −1.27294 | − | 2.20480i | ||||
\(772\) | −3.90246e14 | −1.42315 | ||||||||
\(773\) | − | 2.63471e14i | − | 0.954631i | −0.878732 | − | 0.477316i | \(-0.841610\pi\) | ||
0.878732 | − | 0.477316i | \(-0.158390\pi\) | |||||||
\(774\) | 1.29885e14 | + | 8.31878e13i | 0.467579 | + | 0.299471i | ||||
\(775\) | −3.60189e13 | −0.128831 | ||||||||
\(776\) | 1.81288e14i | 0.644260i | ||||||||
\(777\) | −1.27567e14 | + | 7.36508e13i | −0.450436 | + | 0.260059i | ||||
\(778\) | 4.31158e13 | 0.151265 | ||||||||
\(779\) | 2.29000e12 | − | 1.32213e12i | 0.00798268 | − | 0.00460880i | ||||
\(780\) | −5.19611e13 | − | 8.99993e13i | −0.179972 | − | 0.311721i | ||||
\(781\) | 5.55398e13 | + | 3.20659e13i | 0.191139 | + | 0.110354i | ||||
\(782\) | 7.04890e13i | 0.241039i | ||||||||
\(783\) | −4.25298e13 | + | 7.36637e13i | −0.144505 | + | 0.250291i | ||||
\(784\) | −7.91278e13 | − | 1.37053e14i | −0.267146 | − | 0.462710i | ||||
\(785\) | −3.35027e14 | −1.12391 | ||||||||
\(786\) | 1.57513e14 | − | 9.09400e13i | 0.525052 | − | 0.303139i | ||||
\(787\) | −3.16884e13 | + | 5.48859e13i | −0.104961 | + | 0.181797i | −0.913722 | − | 0.406340i | \(-0.866805\pi\) |
0.808762 | + | 0.588137i | \(0.200138\pi\) | |||||||
\(788\) | 8.81406e13 | − | 1.52664e14i | 0.290098 | − | 0.502465i | ||||
\(789\) | −2.64365e14 | + | 4.57894e14i | −0.864607 | + | 1.49754i | ||||
\(790\) | −3.77956e13 | −0.122830 | ||||||||
\(791\) | −1.59992e14 | + | 2.77114e14i | −0.516672 | + | 0.894903i | ||||
\(792\) | 4.16432e14 | + | 2.40427e14i | 1.33634 | + | 0.771538i | ||||
\(793\) | −1.31047e14 | + | 7.56597e13i | −0.417888 | + | 0.241268i | ||||
\(794\) | 6.26579e13 | − | 3.61756e13i | 0.198552 | − | 0.114634i | ||||
\(795\) | 5.66389e14 | 1.78353 | ||||||||
\(796\) | − | 5.43705e14i | − | 1.70137i | ||||||
\(797\) | 1.29326e14 | + | 2.23999e14i | 0.402155 | + | 0.696552i | 0.993986 | − | 0.109510i | \(-0.0349281\pi\) |
−0.591831 | + | 0.806062i | \(0.701595\pi\) | |||||||
\(798\) | −1.86707e12 | − | 3.23386e12i | −0.00576961 | − | 0.00999326i | ||||
\(799\) | −2.90641e14 | + | 5.03404e14i | −0.892529 | + | 1.54591i | ||||
\(800\) | −8.56460e13 | − | 4.94478e13i | −0.261371 | − | 0.150903i | ||||
\(801\) | 3.68902e14i | 1.11879i | ||||||||
\(802\) | −5.90414e13 | − | 3.40876e13i | −0.177945 | − | 0.102736i | ||||
\(803\) | −1.45620e14 | − | 8.40736e13i | −0.436157 | − | 0.251815i | ||||
\(804\) | 5.08096e14 | + | 2.93349e14i | 1.51240 | + | 0.873182i | ||||
\(805\) | −5.84738e13 | − | 1.01280e14i | −0.172974 | − | 0.299601i | ||||
\(806\) | 5.66863e12i | 0.0166649i | ||||||||
\(807\) | −7.09708e14 | + | 4.09750e14i | −2.07354 | + | 1.19716i | ||||
\(808\) | 1.31406e13 | + | 7.58670e12i | 0.0381555 | + | 0.0220291i | ||||
\(809\) | −1.34883e14 | −0.389238 | −0.194619 | − | 0.980879i | \(-0.562347\pi\) | ||||
−0.194619 | + | 0.980879i | \(0.562347\pi\) | |||||||
\(810\) | −7.63730e13 | + | 1.32282e14i | −0.219036 | + | 0.379381i | ||||
\(811\) | 1.62830e13 | − | 9.40101e12i | 0.0464121 | − | 0.0267960i | −0.476614 | − | 0.879112i | \(-0.658136\pi\) |
0.523026 | + | 0.852316i | \(0.324803\pi\) | |||||||
\(812\) | 1.05869e13 | + | 1.83370e13i | 0.0299907 | + | 0.0519454i | ||||
\(813\) | − | 2.07739e14i | − | 0.584878i | ||||||
\(814\) | 2.57016e13 | + | 4.45164e13i | 0.0719180 | + | 0.124566i | ||||
\(815\) | −9.47350e13 | −0.263465 | ||||||||
\(816\) | 7.96759e14i | 2.20230i | ||||||||
\(817\) | 1.46641e13 | − | 7.58866e12i | 0.0402851 | − | 0.0208475i | ||||
\(818\) | −5.42534e13 | −0.148136 | ||||||||
\(819\) | − | 1.58836e14i | − | 0.431051i | ||||||
\(820\) | −4.45443e13 | + | 2.57177e13i | −0.120150 | + | 0.0693685i | ||||
\(821\) | 1.30267e14 | 0.349235 | 0.174617 | − | 0.984636i | \(-0.444131\pi\) | ||||
0.174617 | + | 0.984636i | \(0.444131\pi\) | |||||||
\(822\) | 1.86202e14 | − | 1.07504e14i | 0.496164 | − | 0.286460i | ||||
\(823\) | 9.61104e13 | + | 1.66468e14i | 0.254549 | + | 0.440892i | 0.964773 | − | 0.263084i | \(-0.0847397\pi\) |
−0.710224 | + | 0.703976i | \(0.751406\pi\) | |||||||
\(824\) | −1.88670e14 | − | 1.08928e14i | −0.496668 | − | 0.286751i | ||||
\(825\) | − | 4.93144e14i | − | 1.29034i | ||||||
\(826\) | −4.64524e13 | + | 8.04579e13i | −0.120811 | + | 0.209251i | ||||
\(827\) | −1.70471e14 | − | 2.95264e14i | −0.440679 | − | 0.763278i | 0.557061 | − | 0.830472i | \(-0.311929\pi\) |
−0.997740 | + | 0.0671933i | \(0.978596\pi\) | |||||||
\(828\) | 7.27574e14 | 1.86950 | ||||||||
\(829\) | 5.26736e14 | − | 3.04111e14i | 1.34530 | − | 0.776711i | 0.357723 | − | 0.933828i | \(-0.383553\pi\) |
0.987580 | + | 0.157117i | \(0.0502198\pi\) | |||||||
\(830\) | 6.05549e13 | − | 1.04884e14i | 0.153730 | − | 0.266268i | ||||
\(831\) | −2.56489e14 | + | 4.44252e14i | −0.647237 | + | 1.12105i | ||||
\(832\) | 4.02168e13 | − | 6.96576e13i | 0.100877 | − | 0.174724i | ||||
\(833\) | −3.45705e14 | −0.861948 | ||||||||
\(834\) | −8.01421e13 | + | 1.38810e14i | −0.198623 | + | 0.344026i | ||||
\(835\) | 1.80538e14 | + | 1.04234e14i | 0.444770 | + | 0.256788i | ||||
\(836\) | 2.17249e13 | − | 1.25429e13i | 0.0532018 | − | 0.0307161i | ||||
\(837\) | −2.65356e14 | + | 1.53203e14i | −0.645953 | + | 0.372941i | ||||
\(838\) | −2.52842e13 | −0.0611828 | ||||||||
\(839\) | − | 3.19232e14i | − | 0.767885i | −0.923357 | − | 0.383943i | \(-0.874566\pi\) | ||
0.923357 | − | 0.383943i | \(-0.125434\pi\) | |||||||
\(840\) | 7.45218e13 | + | 1.29076e14i | 0.178191 | + | 0.308637i | ||||
\(841\) | −2.08118e14 | − | 3.60471e14i | −0.494686 | − | 0.856821i | ||||
\(842\) | 4.27422e13 | − | 7.40317e13i | 0.100994 | − | 0.174927i | ||||
\(843\) | −2.00309e14 | − | 1.15649e14i | −0.470503 | − | 0.271645i | ||||
\(844\) | − | 5.32258e14i | − | 1.24282i | ||||||
\(845\) | −2.46662e14 | − | 1.42410e14i | −0.572556 | − | 0.330566i | ||||
\(846\) | −2.69910e14 | − | 1.55833e14i | −0.622827 | − | 0.359589i | ||||
\(847\) | 2.37927e14 | + | 1.37367e14i | 0.545791 | + | 0.315113i | ||||
\(848\) | 2.48682e14 | + | 4.30730e14i | 0.567107 | + | 0.982259i | ||||
\(849\) | 1.93895e14i | 0.439570i | ||||||||
\(850\) | −5.69827e13 | + | 3.28990e13i | −0.128425 | + | 0.0741461i | ||||
\(851\) | 1.38213e14 | + | 7.97976e13i | 0.309673 | + | 0.178790i | ||||
\(852\) | −1.23669e14 | −0.275462 | ||||||||
\(853\) | −2.03689e14 | + | 3.52800e14i | −0.451049 | + | 0.781239i | −0.998451 | − | 0.0556302i | \(-0.982283\pi\) |
0.547403 | + | 0.836869i | \(0.315617\pi\) | |||||||
\(854\) | 9.15935e13 | − | 5.28815e13i | 0.201639 | − | 0.116417i | ||||
\(855\) | 1.85964e13 | + | 3.22099e13i | 0.0407003 | + | 0.0704951i | ||||
\(856\) | 1.95363e13i | 0.0425082i | ||||||||
\(857\) | 1.62404e14 | + | 2.81292e14i | 0.351312 | + | 0.608490i | 0.986480 | − | 0.163884i | \(-0.0524024\pi\) |
−0.635168 | + | 0.772374i | \(0.719069\pi\) | |||||||
\(858\) | −7.76107e13 | −0.166911 | ||||||||
\(859\) | − | 6.51433e14i | − | 1.39285i | −0.717630 | − | 0.696425i | \(-0.754773\pi\) | ||
0.717630 | − | 0.696425i | \(-0.245227\pi\) | |||||||
\(860\) | −2.85240e14 | + | 1.47612e14i | −0.606343 | + | 0.313783i | ||||
\(861\) | −1.10076e14 | −0.232636 | ||||||||
\(862\) | 1.54108e14i | 0.323808i | ||||||||
\(863\) | −5.28275e13 | + | 3.05000e13i | −0.110359 | + | 0.0637155i | −0.554163 | − | 0.832408i | \(-0.686962\pi\) |
0.443805 | + | 0.896123i | \(0.353628\pi\) | |||||||
\(864\) | −8.41286e14 | −1.74733 | ||||||||
\(865\) | 3.51601e14 | − | 2.02997e14i | 0.726054 | − | 0.419188i | ||||
\(866\) | 7.29416e12 | + | 1.26339e13i | 0.0149757 | + | 0.0259386i | ||||
\(867\) | 7.13754e14 | + | 4.12086e14i | 1.45698 | + | 0.841186i | ||||
\(868\) | 7.62731e13i | 0.154801i | ||||||||
\(869\) | 2.71693e14 | − | 4.70586e14i | 0.548251 | − | 0.949599i | ||||
\(870\) | 7.66958e12 | + | 1.32841e13i | 0.0153878 | + | 0.0266524i | ||||
\(871\) | −1.38771e14 | −0.276827 | ||||||||
\(872\) | 1.13426e14 | − | 6.54866e13i | 0.224973 | − | 0.129888i | ||||
\(873\) | 9.41613e14 | − | 1.63092e15i | 1.85696 | − | 3.21634i | ||||
\(874\) | −2.02290e12 | + | 3.50376e12i | −0.00396658 | + | 0.00687032i | ||||
\(875\) | 1.67308e14 | − | 2.89786e14i | 0.326195 | − | 0.564986i | ||||
\(876\) | 3.24247e14 | 0.628572 | ||||||||
\(877\) | 7.52972e13 | − | 1.30419e14i | 0.145138 | − | 0.251386i | −0.784286 | − | 0.620399i | \(-0.786971\pi\) |
0.929424 | + | 0.369013i | \(0.120304\pi\) | |||||||
\(878\) | −1.36376e14 | − | 7.87368e13i | −0.261376 | − | 0.150906i | ||||
\(879\) | 1.36109e15 | − | 7.85826e14i | 2.59384 | − | 1.49755i | ||||
\(880\) | −3.99494e14 | + | 2.30648e14i | −0.757002 | + | 0.437055i | ||||
\(881\) | −5.28711e13 | −0.0996182 | −0.0498091 | − | 0.998759i | \(-0.515861\pi\) | ||||
−0.0498091 | + | 0.998759i | \(0.515861\pi\) | |||||||
\(882\) | − | 1.85357e14i | − | 0.347268i | ||||||
\(883\) | −2.37061e13 | − | 4.10601e13i | −0.0441627 | − | 0.0764921i | 0.843099 | − | 0.537758i | \(-0.180729\pi\) |
−0.887262 | + | 0.461266i | \(0.847395\pi\) | |||||||
\(884\) | −9.96747e13 | − | 1.72642e14i | −0.184639 | − | 0.319804i | ||||
\(885\) | 6.47839e14 | − | 1.12209e15i | 1.19330 | − | 2.06686i | ||||
\(886\) | 2.05836e13 | + | 1.18840e13i | 0.0377010 | + | 0.0217667i | ||||
\(887\) | 8.81488e14i | 1.60546i | 0.596346 | + | 0.802728i | \(0.296619\pi\) | ||||
−0.596346 | + | 0.802728i | \(0.703381\pi\) | |||||||
\(888\) | −1.76146e14 | − | 1.01698e14i | −0.319012 | − | 0.184182i | ||||
\(889\) | −1.51086e14 | − | 8.72295e13i | −0.272092 | − | 0.157092i | ||||
\(890\) | 3.45561e13 | + | 1.99510e13i | 0.0618835 | + | 0.0357284i | ||||
\(891\) | −1.09801e15 | − | 1.90181e15i | −1.95532 | − | 3.38672i | ||||
\(892\) | − | 4.87459e14i | − | 0.863205i | ||||||
\(893\) | −2.88934e13 | + | 1.66816e13i | −0.0508794 | + | 0.0293752i | ||||
\(894\) | −1.87811e14 | − | 1.08433e14i | −0.328878 | − | 0.189878i | ||||
\(895\) | 3.53546e14 | 0.615646 | ||||||||
\(896\) | −1.38258e14 | + | 2.39470e14i | −0.239415 | + | 0.414678i | ||||
\(897\) | −2.08681e14 | + | 1.20482e14i | −0.359352 | + | 0.207472i | ||||
\(898\) | 1.92934e13 | + | 3.34171e13i | 0.0330390 | + | 0.0572252i | ||||
\(899\) | 1.61074e13i | 0.0274301i | ||||||||
\(900\) | 3.39578e14 | + | 5.88166e14i | 0.575078 | + | 0.996064i | ||||
\(901\) | 1.08648e15 | 1.82977 | ||||||||
\(902\) | 3.84127e13i | 0.0643343i | ||||||||
\(903\) | −6.86606e14 | − | 3.16398e13i | −1.14359 | − | 0.0526981i | ||||
\(904\) | −4.41837e14 | −0.731846 | ||||||||
\(905\) | − | 1.88902e14i | − | 0.311168i | ||||||
\(906\) | 2.85161e14 | − | 1.64638e14i | 0.467142 | − | 0.269705i | ||||
\(907\) | 9.19619e13 | 0.149821 | 0.0749103 | − | 0.997190i | \(-0.476133\pi\) | ||||
0.0749103 | + | 0.997190i | \(0.476133\pi\) | |||||||
\(908\) | −4.16315e14 | + | 2.40360e14i | −0.674517 | + | 0.389432i | ||||
\(909\) | −7.88108e13 | − | 1.36504e14i | −0.126989 | − | 0.219952i | ||||
\(910\) | −1.48786e13 | − | 8.59015e12i | −0.0238427 | − | 0.0137656i | ||||
\(911\) | − | 4.68456e14i | − | 0.746581i | −0.927715 | − | 0.373290i | \(-0.878229\pi\) | ||
0.927715 | − | 0.373290i | \(-0.121771\pi\) | |||||||
\(912\) | −2.28654e13 | + | 3.96041e13i | −0.0362414 | + | 0.0627720i | ||||
\(913\) | 8.70597e14 | + | 1.50792e15i | 1.37234 | + | 2.37697i | ||||
\(914\) | 1.97224e14 | 0.309193 | ||||||||
\(915\) | −1.27739e15 | + | 7.37501e14i | −1.99167 | + | 1.14989i | ||||
\(916\) | −2.78870e14 | + | 4.83018e14i | −0.432439 | + | 0.749007i | ||||
\(917\) | −2.89422e14 | + | 5.01294e14i | −0.446360 | + | 0.773117i | ||||
\(918\) | −2.79866e14 | + | 4.84742e14i | −0.429276 | + | 0.743528i | ||||
\(919\) | −1.13832e15 | −1.73655 | −0.868276 | − | 0.496082i | \(-0.834772\pi\) | ||||
−0.868276 | + | 0.496082i | \(0.834772\pi\) | |||||||
\(920\) | 8.07413e13 | − | 1.39848e14i | 0.122506 | − | 0.212186i | ||||
\(921\) | −1.18353e15 | − | 6.83314e14i | −1.78600 | − | 1.03115i | ||||
\(922\) | 9.98633e12 | − | 5.76561e12i | 0.0149883 | − | 0.00865348i | ||||
\(923\) | 2.53323e13 | − | 1.46256e13i | 0.0378151 | − | 0.0218326i | ||||
\(924\) | −1.04428e15 | −1.55044 | ||||||||
\(925\) | 1.48974e14i | 0.219990i | ||||||||
\(926\) | −2.56154e13 | − | 4.43672e13i | −0.0376224 | − | 0.0651640i | ||||
\(927\) | 1.13155e15 | + | 1.95991e15i | 1.65301 | + | 2.86310i | ||||
\(928\) | −2.21127e13 | + | 3.83003e13i | −0.0321294 | + | 0.0556497i | ||||
\(929\) | 2.05491e14 | + | 1.18640e14i | 0.296972 | + | 0.171457i | 0.641082 | − | 0.767473i | \(-0.278486\pi\) |
−0.344110 | + | 0.938929i | \(0.611819\pi\) | |||||||
\(930\) | 5.52556e13i | 0.0794258i | ||||||||
\(931\) | −1.71838e13 | − | 9.92106e12i | −0.0245680 | − | 0.0141844i | ||||
\(932\) | 1.62448e14 | + | 9.37891e13i | 0.231011 | + | 0.133375i | ||||
\(933\) | −7.52250e14 | − | 4.34312e14i | −1.06403 | − | 0.614318i | ||||
\(934\) | −2.10382e13 | − | 3.64392e13i | −0.0295988 | − | 0.0512667i | ||||
\(935\) | 1.00769e15i | 1.41016i | ||||||||
\(936\) | 1.89939e14 | − | 1.09661e14i | 0.264383 | − | 0.152642i | ||||
\(937\) | 5.42784e14 | + | 3.13376e14i | 0.751500 | + | 0.433878i | 0.826235 | − | 0.563325i | \(-0.190478\pi\) |
−0.0747359 | + | 0.997203i | \(0.523811\pi\) | |||||||
\(938\) | 9.69924e13 | 0.133574 | ||||||||
\(939\) | 1.06171e15 | − | 1.83894e15i | 1.45438 | − | 2.51907i | ||||
\(940\) | 5.62025e14 | − | 3.24485e14i | 0.765802 | − | 0.442136i | ||||
\(941\) | 5.94324e14 | + | 1.02940e15i | 0.805518 | + | 1.39520i | 0.915941 | + | 0.401313i | \(0.131446\pi\) |
−0.110424 | + | 0.993885i | \(0.535221\pi\) | |||||||
\(942\) | − | 4.82480e14i | − | 0.650466i | ||||||
\(943\) | 5.96315e13 | + | 1.03285e14i | 0.0799681 | + | 0.138509i | ||||
\(944\) | 1.13778e15 | 1.51774 | ||||||||
\(945\) | − | 9.28646e14i | − | 1.23223i | ||||||
\(946\) | −1.10412e13 | + | 2.39602e14i | −0.0145734 | + | 0.316253i | ||||
\(947\) | −4.51959e13 | −0.0593402 | −0.0296701 | − | 0.999560i | \(-0.509446\pi\) | ||||
−0.0296701 | + | 0.999560i | \(0.509446\pi\) | |||||||
\(948\) | 1.04784e15i | 1.36853i | ||||||||
\(949\) | −6.64186e13 | + | 3.83468e13i | −0.0862897 | + | 0.0498194i | ||||
\(950\) | −3.77655e12 | −0.00488064 | ||||||||
\(951\) | −2.29591e15 | + | 1.32554e15i | −2.95157 | + | 1.70409i | ||||
\(952\) | 1.42952e14 | + | 2.47600e14i | 0.182812 | + | 0.316640i | ||||
\(953\) | 8.39643e12 | + | 4.84768e12i | 0.0106814 | + | 0.00616694i | 0.505331 | − | 0.862925i | \(-0.331370\pi\) |
−0.494650 | + | 0.869092i | \(0.664704\pi\) | |||||||
\(954\) | 5.82537e14i | 0.737194i | ||||||||
\(955\) | −4.23106e14 | + | 7.32841e14i | −0.532638 | + | 0.922557i | ||||
\(956\) | −2.09745e14 | − | 3.63289e14i | −0.262665 | − | 0.454949i | ||||
\(957\) | −2.20531e14 | −0.274732 | ||||||||
\(958\) | 1.36252e14 | − | 7.86652e13i | 0.168856 | − | 0.0974888i | ||||
\(959\) | −3.42137e14 | + | 5.92599e14i | −0.421801 | + | 0.730580i | ||||
\(960\) | 3.92018e14 | − | 6.78994e14i | 0.480783 | − | 0.832741i | ||||
\(961\) | 3.80803e14 | − | 6.59570e14i | 0.464604 | − | 0.804718i | ||||
\(962\) | 2.34455e13 | 0.0284567 | ||||||||
\(963\) | 1.01472e14 | − | 1.75754e14i | 0.122522 | − | 0.212214i | ||||
\(964\) | −3.16889e14 | − | 1.82956e14i | −0.380647 | − | 0.219766i | ||||
\(965\) | 7.79202e14 | − | 4.49873e14i | 0.931137 | − | 0.537592i | ||||
\(966\) | 1.45855e14 | − | 8.42095e13i | 0.173395 | − | 0.100110i | ||||
\(967\) | −5.10798e14 | −0.604111 | −0.302055 | − | 0.953290i | \(-0.597673\pi\) | ||||
−0.302055 | + | 0.953290i | \(0.597673\pi\) | |||||||
\(968\) | 3.79356e14i | 0.446345i | ||||||||
\(969\) | 4.99489e13 | + | 8.65141e13i | 0.0584665 | + | 0.101267i | ||||
\(970\) | −1.01849e14 | − | 1.76407e14i | −0.118603 | − | 0.205427i | ||||
\(971\) | 2.13188e14 | − | 3.69253e14i | 0.246983 | − | 0.427787i | −0.715704 | − | 0.698403i | \(-0.753894\pi\) |
0.962687 | + | 0.270617i | \(0.0872275\pi\) | |||||||
\(972\) | 1.66498e15 | + | 9.61277e14i | 1.91901 | + | 1.10794i | ||||
\(973\) | − | 5.10114e14i | − | 0.584929i | ||||||
\(974\) | 3.03845e14 | + | 1.75425e14i | 0.346623 | + | 0.200123i | ||||
\(975\) | −1.94793e14 | − | 1.12464e14i | −0.221081 | − | 0.127641i | ||||
\(976\) | −1.12172e15 | − | 6.47623e14i | −1.26658 | − | 0.731262i | ||||
\(977\) | −4.87207e13 | − | 8.43867e13i | −0.0547319 | − | 0.0947985i | 0.837361 | − | 0.546650i | \(-0.184097\pi\) |
−0.892093 | + | 0.451851i | \(0.850764\pi\) | |||||||
\(978\) | − | 1.36430e14i | − | 0.152481i | ||||||
\(979\) | −4.96812e14 | + | 2.86835e14i | −0.552432 | + | 0.318947i | ||||
\(980\) | 3.34253e14 | + | 1.92981e14i | 0.369781 | + | 0.213493i | ||||
\(981\) | −1.36055e15 | −1.49751 | ||||||||
\(982\) | 9.49801e13 | − | 1.64510e14i | 0.104010 | − | 0.180151i | ||||
\(983\) | 1.05348e15 | − | 6.08225e14i | 1.14778 | − | 0.662669i | 0.199432 | − | 0.979912i | \(-0.436090\pi\) |
0.948344 | + | 0.317243i | \(0.102757\pi\) | |||||||
\(984\) | −7.59971e13 | − | 1.31631e14i | −0.0823800 | − | 0.142686i | ||||
\(985\) | 4.06432e14i | 0.438335i | ||||||||
\(986\) | 1.47122e13 | + | 2.54823e13i | 0.0157868 | + | 0.0273435i | ||||
\(987\) | 1.38885e15 | 1.48276 | ||||||||
\(988\) | − | 1.14419e13i | − | 0.0121538i | ||||||
\(989\) | 3.42267e14 | + | 6.61385e14i | 0.361729 | + | 0.698993i | ||||
\(990\) | −5.40292e14 | −0.568136 | ||||||||
\(991\) | 1.16074e15i | 1.21442i | 0.794542 | + | 0.607209i | \(0.207711\pi\) | ||||
−0.794542 | + | 0.607209i | \(0.792289\pi\) | |||||||
\(992\) | −1.37968e14 | + | 7.96556e13i | −0.143621 | + | 0.0829198i | ||||
\(993\) | −5.58758e14 | −0.578732 | ||||||||
\(994\) | −1.77057e13 | + | 1.02224e13i | −0.0182466 | + | 0.0105347i | ||||
\(995\) | 6.26780e14 | + | 1.08561e15i | 0.642687 | + | 1.11317i | ||||
\(996\) | −2.90780e15 | − | 1.67882e15i | −2.96666 | − | 1.71280i | ||||
\(997\) | 6.13470e14i | 0.622756i | 0.950286 | + | 0.311378i | \(0.100790\pi\) | ||||
−0.950286 | + | 0.311378i | \(0.899210\pi\) | |||||||
\(998\) | −1.67152e13 | + | 2.89515e13i | −0.0168833 | + | 0.0292428i | ||||
\(999\) | 6.33649e14 | + | 1.09751e15i | 0.636827 | + | 1.10302i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.11.d.a.7.20 | ✓ | 72 | |
43.37 | odd | 6 | inner | 43.11.d.a.37.17 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.11.d.a.7.20 | ✓ | 72 | 1.1 | even | 1 | trivial | |
43.11.d.a.37.17 | yes | 72 | 43.37 | odd | 6 | inner |