Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [35,10,Mod(3,35)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(35, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("35.3");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 35 = 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 35.k (of order \(12\), 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: | \(18.0262542657\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.10 | ||
Character | \(\chi\) | \(=\) | 35.3 |
Dual form | 35.10.k.a.12.10 |
$q$-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 \(\left(\mathbb{Z}/35\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −22.3519 | − | 5.98917i | −0.987824 | − | 0.264687i | −0.271488 | − | 0.962442i | \(-0.587516\pi\) |
−0.716336 | + | 0.697755i | \(0.754182\pi\) | |||||||
\(3\) | −10.0261 | − | 37.4181i | −0.0714641 | − | 0.266708i | 0.920944 | − | 0.389695i | \(-0.127419\pi\) |
−0.992408 | + | 0.122987i | \(0.960753\pi\) | |||||||
\(4\) | 20.3322 | + | 11.7388i | 0.0397113 | + | 0.0229273i | ||||
\(5\) | −924.440 | + | 1048.11i | −0.661475 | + | 0.749967i | ||||
\(6\) | 896.413i | 0.282376i | ||||||||
\(7\) | −6331.22 | − | 518.872i | −0.996659 | − | 0.0816806i | ||||
\(8\) | 7993.56 | + | 7993.56i | 0.689978 | + | 0.689978i | ||||
\(9\) | 15746.4 | − | 9091.18i | 0.799999 | − | 0.461880i | ||||
\(10\) | 26940.3 | − | 17890.6i | 0.851927 | − | 0.565751i | ||||
\(11\) | −30456.2 | + | 52751.6i | −0.627203 | + | 1.08635i | 0.360908 | + | 0.932602i | \(0.382467\pi\) |
−0.988110 | + | 0.153746i | \(0.950866\pi\) | |||||||
\(12\) | 235.390 | − | 878.486i | 0.00327696 | − | 0.0122298i | ||||
\(13\) | −117199. | + | 117199.i | −1.13809 | + | 1.13809i | −0.149299 | + | 0.988792i | \(0.547702\pi\) |
−0.988792 | + | 0.149299i | \(0.952298\pi\) | |||||||
\(14\) | 138407. | + | 49516.6i | 0.962903 | + | 0.344488i | ||||
\(15\) | 48486.8 | + | 24082.3i | 0.247294 | + | 0.122825i | ||||
\(16\) | −136807. | − | 236956.i | −0.521876 | − | 0.903916i | ||||
\(17\) | 315442. | − | 84522.3i | 0.916007 | − | 0.245443i | 0.230129 | − | 0.973160i | \(-0.426085\pi\) |
0.685878 | + | 0.727717i | \(0.259418\pi\) | |||||||
\(18\) | −406410. | + | 108897.i | −0.912512 | + | 0.244507i | ||||
\(19\) | −144650. | − | 250541.i | −0.254641 | − | 0.441051i | 0.710157 | − | 0.704043i | \(-0.248624\pi\) |
−0.964798 | + | 0.262993i | \(0.915291\pi\) | |||||||
\(20\) | −31099.4 | + | 10458.6i | −0.0434628 | + | 0.0146163i | ||||
\(21\) | 44062.6 | + | 242104.i | 0.0494405 | + | 0.271654i | ||||
\(22\) | 996692. | − | 996692.i | 0.907107 | − | 0.907107i | ||||
\(23\) | 143682. | − | 536228.i | 0.107060 | − | 0.399553i | −0.891511 | − | 0.452999i | \(-0.850354\pi\) |
0.998571 | + | 0.0534467i | \(0.0170207\pi\) | |||||||
\(24\) | 218959. | − | 379248.i | 0.134714 | − | 0.233331i | ||||
\(25\) | −243946. | − | 1.93783e6i | −0.124901 | − | 0.992169i | ||||
\(26\) | 3.32153e6 | − | 1.91769e6i | 1.42547 | − | 0.822996i | ||||
\(27\) | −1.03721e6 | − | 1.03721e6i | −0.375602 | − | 0.375602i | ||||
\(28\) | −122637. | − | 84870.7i | −0.0377059 | − | 0.0260944i | ||||
\(29\) | − | 5.36320e6i | − | 1.40810i | −0.710151 | − | 0.704049i | \(-0.751373\pi\) | ||
0.710151 | − | 0.704049i | \(-0.248627\pi\) | |||||||
\(30\) | −939540. | − | 828680.i | −0.211773 | − | 0.186785i | ||||
\(31\) | −885940. | − | 511497.i | −0.172297 | − | 0.0994754i | 0.411372 | − | 0.911468i | \(-0.365050\pi\) |
−0.583668 | + | 0.811992i | \(0.698383\pi\) | |||||||
\(32\) | 140685. | + | 525043.i | 0.0237177 | + | 0.0885156i | ||||
\(33\) | 2.27922e6 | + | 610716.i | 0.334560 | + | 0.0896450i | ||||
\(34\) | −7.55694e6 | −0.969819 | ||||||||
\(35\) | 6.39667e6 | − | 6.15616e6i | 0.720523 | − | 0.693431i | ||||
\(36\) | 426878. | 0.0423587 | ||||||||
\(37\) | 1.12669e7 | + | 3.01894e6i | 0.988314 | + | 0.264818i | 0.716542 | − | 0.697544i | \(-0.245724\pi\) |
0.271772 | + | 0.962362i | \(0.412390\pi\) | |||||||
\(38\) | 1.73267e6 | + | 6.46641e6i | 0.134800 | + | 0.503080i | ||||
\(39\) | 5.56039e6 | + | 3.21029e6i | 0.384871 | + | 0.222205i | ||||
\(40\) | −1.57677e7 | + | 988567.i | −0.973864 | + | 0.0610571i | ||||
\(41\) | − | 2.35954e6i | − | 0.130407i | −0.997872 | − | 0.0652034i | \(-0.979230\pi\) | ||
0.997872 | − | 0.0652034i | \(-0.0207696\pi\) | |||||||
\(42\) | 465124. | − | 5.67539e6i | 0.0230646 | − | 0.281432i | ||||
\(43\) | −9.45901e6 | − | 9.45901e6i | −0.421927 | − | 0.421927i | 0.463940 | − | 0.885867i | \(-0.346435\pi\) |
−0.885867 | + | 0.463940i | \(0.846435\pi\) | |||||||
\(44\) | −1.23848e6 | + | 715037.i | −0.0498141 | + | 0.0287602i | ||||
\(45\) | −5.02803e6 | + | 2.49082e7i | −0.182785 | + | 0.905495i | ||||
\(46\) | −6.42312e6 | + | 1.11252e7i | −0.211512 | + | 0.366350i | ||||
\(47\) | −1.13449e7 | + | 4.23397e7i | −0.339125 | + | 1.26563i | 0.560203 | + | 0.828355i | \(0.310723\pi\) |
−0.899328 | + | 0.437275i | \(0.855944\pi\) | |||||||
\(48\) | −7.49480e6 | + | 7.49480e6i | −0.203786 | + | 0.203786i | ||||
\(49\) | 3.98152e7 | + | 6.57019e6i | 0.986657 | + | 0.162815i | ||||
\(50\) | −6.15334e6 | + | 4.47752e7i | −0.139234 | + | 1.01315i | ||||
\(51\) | −6.32533e6 | − | 1.09558e7i | −0.130923 | − | 0.226766i | ||||
\(52\) | −3.75867e6 | + | 1.00713e6i | −0.0712885 | + | 0.0191017i | ||||
\(53\) | 5.23150e6 | − | 1.40178e6i | 0.0910719 | − | 0.0244026i | −0.212995 | − | 0.977053i | \(-0.568322\pi\) |
0.304067 | + | 0.952651i | \(0.401655\pi\) | |||||||
\(54\) | 1.69715e7 | + | 2.93955e7i | 0.271612 | + | 0.470445i | ||||
\(55\) | −2.71346e7 | − | 8.06871e7i | −0.399845 | − | 1.18897i | ||||
\(56\) | −4.64614e7 | − | 5.47566e7i | −0.631315 | − | 0.744030i | ||||
\(57\) | −7.92449e6 | + | 7.92449e6i | −0.0994340 | + | 0.0994340i | ||||
\(58\) | −3.21211e7 | + | 1.19878e8i | −0.372705 | + | 1.39095i | ||||
\(59\) | 4.55608e7 | − | 7.89137e7i | 0.489506 | − | 0.847849i | −0.510421 | − | 0.859924i | \(-0.670511\pi\) |
0.999927 | + | 0.0120758i | \(0.00384394\pi\) | |||||||
\(60\) | 703147. | + | 1.05882e6i | 0.00700431 | + | 0.0105473i | ||||
\(61\) | 1.10097e8 | − | 6.35646e7i | 1.01810 | − | 0.587802i | 0.104549 | − | 0.994520i | \(-0.466660\pi\) |
0.913554 | + | 0.406718i | \(0.133327\pi\) | |||||||
\(62\) | 1.67390e7 | + | 1.67390e7i | 0.143869 | + | 0.143869i | ||||
\(63\) | −1.04411e8 | + | 4.93879e7i | −0.835053 | + | 0.394992i | ||||
\(64\) | 1.27512e8i | 0.950036i | ||||||||
\(65\) | −1.44940e7 | − | 2.31180e8i | −0.100711 | − | 1.60635i | ||||
\(66\) | −4.72872e7 | − | 2.73013e7i | −0.306758 | − | 0.177107i | ||||
\(67\) | 5.87933e7 | + | 2.19419e8i | 0.356444 | + | 1.33027i | 0.878658 | + | 0.477452i | \(0.158439\pi\) |
−0.522214 | + | 0.852814i | \(0.674894\pi\) | |||||||
\(68\) | 7.40581e6 | + | 1.98438e6i | 0.0420032 | + | 0.0112547i | ||||
\(69\) | −2.15052e7 | −0.114215 | ||||||||
\(70\) | −1.79848e8 | + | 9.92910e7i | −0.895291 | + | 0.494275i | ||||
\(71\) | −3.71610e7 | −0.173550 | −0.0867750 | − | 0.996228i | \(-0.527656\pi\) | ||||
−0.0867750 | + | 0.996228i | \(0.527656\pi\) | |||||||
\(72\) | 1.98541e8 | + | 5.31988e7i | 0.870669 | + | 0.233295i | ||||
\(73\) | 2.94824e7 | + | 1.10030e8i | 0.121510 | + | 0.453480i | 0.999691 | − | 0.0248473i | \(-0.00790996\pi\) |
−0.878182 | + | 0.478327i | \(0.841243\pi\) | |||||||
\(74\) | −2.33755e8 | − | 1.34958e8i | −0.906186 | − | 0.523187i | ||||
\(75\) | −7.00640e7 | + | 2.85570e7i | −0.255693 | + | 0.104216i | ||||
\(76\) | − | 6.79207e6i | − | 0.0233529i | ||||||
\(77\) | 2.20196e8 | − | 3.18179e8i | 0.713841 | − | 1.03149i | ||||
\(78\) | −1.05058e8 | − | 1.05058e8i | −0.321370 | − | 0.321370i | ||||
\(79\) | 4.88106e8 | − | 2.81808e8i | 1.40991 | − | 0.814014i | 0.414534 | − | 0.910034i | \(-0.363944\pi\) |
0.995379 | + | 0.0960196i | \(0.0306111\pi\) | |||||||
\(80\) | 3.74826e8 | + | 7.56632e7i | 1.02311 | + | 0.206528i | ||||
\(81\) | 1.50531e8 | − | 2.60727e8i | 0.388546 | − | 0.672981i | ||||
\(82\) | −1.41317e7 | + | 5.27402e7i | −0.0345169 | + | 0.128819i | ||||
\(83\) | −1.58033e8 | + | 1.58033e8i | −0.365507 | + | 0.365507i | −0.865836 | − | 0.500329i | \(-0.833212\pi\) |
0.500329 | + | 0.865836i | \(0.333212\pi\) | |||||||
\(84\) | −1.94613e6 | + | 5.43975e6i | −0.00426495 | + | 0.0119213i | ||||
\(85\) | −2.03018e8 | + | 4.08754e8i | −0.421842 | + | 0.849330i | ||||
\(86\) | 1.54775e8 | + | 2.68078e8i | 0.305111 | + | 0.528468i | ||||
\(87\) | −2.00681e8 | + | 5.37722e7i | −0.375551 | + | 0.100629i | ||||
\(88\) | −6.65126e8 | + | 1.78220e8i | −1.18231 | + | 0.316800i | ||||
\(89\) | −2.79946e8 | − | 4.84880e8i | −0.472954 | − | 0.819180i | 0.526567 | − | 0.850134i | \(-0.323479\pi\) |
−0.999521 | + | 0.0309536i | \(0.990146\pi\) | |||||||
\(90\) | 2.61566e8 | − | 5.26632e8i | 0.420232 | − | 0.846089i | ||||
\(91\) | 8.02821e8 | − | 6.81199e8i | 1.22725 | − | 1.04133i | ||||
\(92\) | 9.21603e6 | − | 9.21603e6i | 0.0134122 | − | 0.0134122i | ||||
\(93\) | −1.02567e7 | + | 3.82785e7i | −0.0142179 | + | 0.0530618i | ||||
\(94\) | 5.07159e8 | − | 8.78425e8i | 0.669991 | − | 1.16046i | ||||
\(95\) | 3.96316e8 | + | 8.00012e7i | 0.499212 | + | 0.100772i | ||||
\(96\) | 1.82356e7 | − | 1.05283e7i | 0.0219128 | − | 0.0126514i | ||||
\(97\) | −9.93544e8 | − | 9.93544e8i | −1.13950 | − | 1.13950i | −0.988540 | − | 0.150960i | \(-0.951764\pi\) |
−0.150960 | − | 0.988540i | \(-0.548236\pi\) | |||||||
\(98\) | −8.50594e8 | − | 3.85316e8i | −0.931548 | − | 0.421988i | ||||
\(99\) | 1.10753e9i | 1.15877i | ||||||||
\(100\) | 1.77878e7 | − | 4.22640e7i | 0.0177878 | − | 0.0422640i | ||||
\(101\) | −9.77608e7 | − | 5.64422e7i | −0.0934800 | − | 0.0539707i | 0.452531 | − | 0.891749i | \(-0.350521\pi\) |
−0.546011 | + | 0.837778i | \(0.683854\pi\) | |||||||
\(102\) | 7.57670e7 | + | 2.82766e8i | 0.0693073 | + | 0.258658i | ||||
\(103\) | 1.24533e9 | + | 3.33685e8i | 1.09023 | + | 0.292126i | 0.758779 | − | 0.651348i | \(-0.225796\pi\) |
0.331448 | + | 0.943473i | \(0.392463\pi\) | |||||||
\(104\) | −1.87367e9 | −1.57052 | ||||||||
\(105\) | −2.94485e8 | − | 1.77629e8i | −0.236435 | − | 0.142614i | ||||
\(106\) | −1.25329e8 | −0.0964220 | ||||||||
\(107\) | 1.76606e9 | + | 4.73214e8i | 1.30250 | + | 0.349004i | 0.842396 | − | 0.538860i | \(-0.181145\pi\) |
0.460106 | + | 0.887864i | \(0.347811\pi\) | |||||||
\(108\) | −8.91311e6 | − | 3.32642e7i | −0.00630409 | − | 0.0235272i | ||||
\(109\) | 9.71246e8 | + | 5.60749e8i | 0.659038 | + | 0.380496i | 0.791910 | − | 0.610638i | \(-0.209087\pi\) |
−0.132873 | + | 0.991133i | \(0.542420\pi\) | |||||||
\(110\) | 1.23261e8 | + | 1.96602e9i | 0.0802712 | + | 1.28033i | ||||
\(111\) | − | 4.51852e8i | − | 0.282516i | ||||||
\(112\) | 7.43204e8 | + | 1.57121e9i | 0.446300 | + | 0.943523i | ||||
\(113\) | −1.16486e9 | − | 1.16486e9i | −0.672077 | − | 0.672077i | 0.286117 | − | 0.958195i | \(-0.407635\pi\) |
−0.958195 | + | 0.286117i | \(0.907635\pi\) | |||||||
\(114\) | 2.24589e8 | − | 1.29666e8i | 0.124542 | − | 0.0719044i | ||||
\(115\) | 4.29201e8 | + | 6.46305e8i | 0.228834 | + | 0.344585i | ||||
\(116\) | 6.29575e7 | − | 1.09046e8i | 0.0322839 | − | 0.0559174i | ||||
\(117\) | −7.79981e8 | + | 2.91093e9i | −0.384811 | + | 1.43613i | ||||
\(118\) | −1.49100e9 | + | 1.49100e9i | −0.707959 | + | 0.707959i | ||||
\(119\) | −2.04099e9 | + | 3.71456e8i | −0.932994 | + | 0.169803i | ||||
\(120\) | 1.95079e8 | + | 5.80085e8i | 0.0858808 | + | 0.255374i | ||||
\(121\) | −6.76182e8 | − | 1.17118e9i | −0.286767 | − | 0.496695i | ||||
\(122\) | −2.84158e9 | + | 7.61399e8i | −1.16129 | + | 0.311167i | ||||
\(123\) | −8.82895e7 | + | 2.36571e7i | −0.0347805 | + | 0.00931941i | ||||
\(124\) | −1.20087e7 | − | 2.07997e7i | −0.00456141 | − | 0.00790060i | ||||
\(125\) | 2.25657e9 | + | 1.53573e9i | 0.826713 | + | 0.562624i | ||||
\(126\) | 2.62958e9 | − | 4.78578e8i | 0.929434 | − | 0.169155i | ||||
\(127\) | −1.78977e9 | + | 1.78977e9i | −0.610492 | + | 0.610492i | −0.943074 | − | 0.332582i | \(-0.892080\pi\) |
0.332582 | + | 0.943074i | \(0.392080\pi\) | |||||||
\(128\) | 8.35720e8 | − | 3.11895e9i | 0.275180 | − | 1.02698i | ||||
\(129\) | −2.59101e8 | + | 4.48775e8i | −0.0823786 | + | 0.142684i | ||||
\(130\) | −1.06061e9 | + | 5.25412e9i | −0.325694 | + | 1.61345i | ||||
\(131\) | 1.93710e9 | − | 1.11838e9i | 0.574686 | − | 0.331795i | −0.184333 | − | 0.982864i | \(-0.559012\pi\) |
0.759019 | + | 0.651069i | \(0.225679\pi\) | |||||||
\(132\) | 3.91725e7 | + | 3.91725e7i | 0.0112305 | + | 0.0112305i | ||||
\(133\) | 7.85814e8 | + | 1.66129e9i | 0.217765 | + | 0.460376i | ||||
\(134\) | − | 5.25656e9i | − | 1.40841i | ||||||
\(135\) | 2.04594e9 | − | 1.28272e8i | 0.530140 | − | 0.0332375i | ||||
\(136\) | 3.19714e9 | + | 1.84587e9i | 0.801375 | + | 0.462674i | ||||
\(137\) | −1.74290e9 | − | 6.50457e9i | −0.422697 | − | 1.57753i | −0.768902 | − | 0.639366i | \(-0.779197\pi\) |
0.346206 | − | 0.938159i | \(-0.387470\pi\) | |||||||
\(138\) | 4.80682e8 | + | 1.28798e8i | 0.112824 | + | 0.0302311i | ||||
\(139\) | −6.73839e9 | −1.53105 | −0.765525 | − | 0.643406i | \(-0.777521\pi\) | ||||
−0.765525 | + | 0.643406i | \(0.777521\pi\) | |||||||
\(140\) | 2.02324e8 | − | 5.00789e7i | 0.0445114 | − | 0.0110174i | ||||
\(141\) | 1.69801e9 | 0.361789 | ||||||||
\(142\) | 8.30618e8 | + | 2.22563e8i | 0.171437 | + | 0.0459363i | ||||
\(143\) | −2.61299e9 | − | 9.75183e9i | −0.522548 | − | 1.95018i | ||||
\(144\) | −4.30842e9 | − | 2.48747e9i | −0.835001 | − | 0.482088i | ||||
\(145\) | 5.62123e9 | + | 4.95796e9i | 1.05603 | + | 0.931422i | ||||
\(146\) | − | 2.63595e9i | − | 0.480120i | ||||||
\(147\) | −1.53349e8 | − | 1.55568e9i | −0.0270864 | − | 0.274784i | ||||
\(148\) | 1.93641e8 | + | 1.93641e8i | 0.0331757 | + | 0.0331757i | ||||
\(149\) | 4.23370e9 | − | 2.44433e9i | 0.703691 | − | 0.406276i | −0.105030 | − | 0.994469i | \(-0.533494\pi\) |
0.808721 | + | 0.588193i | \(0.200160\pi\) | |||||||
\(150\) | 1.73710e9 | − | 2.18677e8i | 0.280165 | − | 0.0352689i | ||||
\(151\) | 4.36771e9 | − | 7.56509e9i | 0.683687 | − | 1.18418i | −0.290160 | − | 0.956978i | \(-0.593709\pi\) |
0.973847 | − | 0.227203i | \(-0.0729580\pi\) | |||||||
\(152\) | 8.46448e8 | − | 3.15899e9i | 0.128619 | − | 0.480012i | ||||
\(153\) | 4.19866e9 | − | 4.19866e9i | 0.619440 | − | 0.619440i | ||||
\(154\) | −6.82743e9 | + | 5.79312e9i | −0.978169 | + | 0.829983i | ||||
\(155\) | 1.35510e9 | − | 4.55714e8i | 0.188573 | − | 0.0634161i | ||||
\(156\) | 7.53699e7 | + | 1.30545e8i | 0.0101891 | + | 0.0176481i | ||||
\(157\) | 8.20449e9 | − | 2.19839e9i | 1.07771 | − | 0.288772i | 0.324054 | − | 0.946038i | \(-0.394954\pi\) |
0.753658 | + | 0.657266i | \(0.228287\pi\) | |||||||
\(158\) | −1.25979e10 | + | 3.37560e9i | −1.60820 | + | 0.430917i | ||||
\(159\) | −1.04903e8 | − | 1.81698e8i | −0.0130168 | − | 0.0225457i | ||||
\(160\) | −6.80357e8 | − | 3.37917e8i | −0.0820724 | − | 0.0407634i | ||||
\(161\) | −1.18791e9 | + | 3.32042e9i | −0.139338 | + | 0.389473i | ||||
\(162\) | −4.92618e9 | + | 4.92618e9i | −0.561944 | + | 0.561944i | ||||
\(163\) | −1.02258e9 | + | 3.81630e9i | −0.113462 | + | 0.423447i | −0.999167 | − | 0.0408016i | \(-0.987009\pi\) |
0.885705 | + | 0.464248i | \(0.153676\pi\) | |||||||
\(164\) | 2.76982e7 | − | 4.79746e7i | 0.00298988 | − | 0.00517862i | ||||
\(165\) | −2.74710e9 | + | 1.82431e9i | −0.288534 | + | 0.191611i | ||||
\(166\) | 4.47881e9 | − | 2.58584e9i | 0.457801 | − | 0.264312i | ||||
\(167\) | 1.02529e10 | + | 1.02529e10i | 1.02005 | + | 1.02005i | 0.999795 | + | 0.0202573i | \(0.00644854\pi\) |
0.0202573 | + | 0.999795i | \(0.493551\pi\) | |||||||
\(168\) | −1.58306e9 | + | 2.28749e9i | −0.153322 | + | 0.221548i | ||||
\(169\) | − | 1.68665e10i | − | 1.59050i | ||||||
\(170\) | 6.98594e9 | − | 7.92051e9i | 0.641512 | − | 0.727332i | ||||
\(171\) | −4.55544e9 | − | 2.63008e9i | −0.407425 | − | 0.235227i | ||||
\(172\) | −8.12850e7 | − | 3.03360e8i | −0.00708161 | − | 0.0264289i | ||||
\(173\) | −3.96395e9 | − | 1.06214e9i | −0.336450 | − | 0.0901515i | 0.0866387 | − | 0.996240i | \(-0.472387\pi\) |
−0.423089 | + | 0.906088i | \(0.639054\pi\) | |||||||
\(174\) | 4.80764e9 | 0.397613 | ||||||||
\(175\) | 5.38993e8 | + | 1.23954e10i | 0.0434422 | + | 0.999056i | ||||
\(176\) | 1.66664e10 | 1.30929 | ||||||||
\(177\) | −3.40960e9 | − | 9.13599e8i | −0.261110 | − | 0.0699642i | ||||
\(178\) | 3.35329e9 | + | 1.25146e10i | 0.250369 | + | 0.934390i | ||||
\(179\) | −5.18020e9 | − | 2.99079e9i | −0.377145 | − | 0.217744i | 0.299431 | − | 0.954118i | \(-0.403203\pi\) |
−0.676575 | + | 0.736374i | \(0.736537\pi\) | |||||||
\(180\) | −3.94623e8 | + | 4.47415e8i | −0.0280192 | + | 0.0317676i | ||||
\(181\) | 1.10387e10i | 0.764478i | 0.924064 | + | 0.382239i | \(0.124847\pi\) | ||||
−0.924064 | + | 0.382239i | \(0.875153\pi\) | |||||||
\(182\) | −2.20244e10 | + | 1.04179e10i | −1.48793 | + | 0.703813i | ||||
\(183\) | −3.48232e9 | − | 3.48232e9i | −0.229529 | − | 0.229529i | ||||
\(184\) | 5.43489e9 | − | 3.13784e9i | 0.349551 | − | 0.201814i | ||||
\(185\) | −1.35797e10 | + | 9.01808e9i | −0.852350 | + | 0.566032i | ||||
\(186\) | 4.58513e8 | − | 7.94168e8i | 0.0280895 | − | 0.0486524i | ||||
\(187\) | −5.14845e9 | + | 1.92143e10i | −0.307886 | + | 1.14904i | ||||
\(188\) | −7.27682e8 | + | 7.27682e8i | −0.0424846 | + | 0.0424846i | ||||
\(189\) | 6.02860e9 | + | 7.10495e9i | 0.343667 | + | 0.405026i | ||||
\(190\) | −8.37926e9 | − | 4.16178e9i | −0.466460 | − | 0.231680i | ||||
\(191\) | −1.29060e10 | − | 2.23539e10i | −0.701685 | − | 1.21535i | −0.967874 | − | 0.251434i | \(-0.919098\pi\) |
0.266189 | − | 0.963921i | \(-0.414235\pi\) | |||||||
\(192\) | 4.77124e9 | − | 1.27845e9i | 0.253382 | − | 0.0678935i | ||||
\(193\) | −2.26612e10 | + | 6.07206e9i | −1.17564 | + | 0.315013i | −0.793197 | − | 0.608965i | \(-0.791585\pi\) |
−0.382446 | + | 0.923978i | \(0.624918\pi\) | |||||||
\(194\) | 1.62571e10 | + | 2.81581e10i | 0.824015 | + | 1.42724i | ||||
\(195\) | −8.50499e9 | + | 2.86018e9i | −0.421229 | + | 0.141657i | ||||
\(196\) | 7.32403e8 | + | 6.00968e8i | 0.0354485 | + | 0.0290870i | ||||
\(197\) | 1.81492e10 | − | 1.81492e10i | 0.858537 | − | 0.858537i | −0.132628 | − | 0.991166i | \(-0.542342\pi\) |
0.991166 | + | 0.132628i | \(0.0423417\pi\) | |||||||
\(198\) | 6.63319e9 | − | 2.47554e10i | 0.306711 | − | 1.14466i | ||||
\(199\) | −3.03084e9 | + | 5.24957e9i | −0.137001 | + | 0.237293i | −0.926360 | − | 0.376639i | \(-0.877080\pi\) |
0.789359 | + | 0.613932i | \(0.210413\pi\) | |||||||
\(200\) | 1.35402e10 | − | 1.74402e10i | 0.598396 | − | 0.770754i | ||||
\(201\) | 7.62078e9 | − | 4.39986e9i | 0.329319 | − | 0.190133i | ||||
\(202\) | 1.84710e9 | + | 1.84710e9i | 0.0780564 | + | 0.0780564i | ||||
\(203\) | −2.78281e9 | + | 3.39556e10i | −0.115014 | + | 1.40339i | ||||
\(204\) | − | 2.97007e8i | − | 0.0120069i | ||||||
\(205\) | 2.47306e9 | + | 2.18126e9i | 0.0978008 | + | 0.0862609i | ||||
\(206\) | −2.58370e10 | − | 1.49170e10i | −0.999631 | − | 0.577137i | ||||
\(207\) | −2.61247e9 | − | 9.74989e9i | −0.0988975 | − | 0.369091i | ||||
\(208\) | 4.38044e10 | + | 1.17374e10i | 1.62268 | + | 0.434796i | ||||
\(209\) | 1.76220e10 | 0.638845 | ||||||||
\(210\) | 5.51846e9 | + | 5.73406e9i | 0.195808 | + | 0.203458i | ||||
\(211\) | −8.88326e9 | −0.308533 | −0.154266 | − | 0.988029i | \(-0.549301\pi\) | ||||
−0.154266 | + | 0.988029i | \(0.549301\pi\) | |||||||
\(212\) | 1.22823e8 | + | 3.29103e7i | 0.00417607 | + | 0.00111897i | ||||
\(213\) | 3.72581e8 | + | 1.39049e9i | 0.0124026 | + | 0.0462871i | ||||
\(214\) | −3.66406e10 | − | 2.11545e10i | −1.19427 | − | 0.689509i | ||||
\(215\) | 1.86584e10 | − | 1.16980e9i | 0.595526 | − | 0.0373369i | ||||
\(216\) | − | 1.65819e10i | − | 0.518314i | ||||||
\(217\) | 5.34368e9 | + | 3.69809e9i | 0.163596 | + | 0.113216i | ||||
\(218\) | −1.83508e10 | − | 1.83508e10i | −0.550301 | − | 0.550301i | ||||
\(219\) | 3.82151e9 | − | 2.20635e9i | 0.112263 | − | 0.0648151i | ||||
\(220\) | 3.95463e8 | − | 1.95907e9i | 0.0113816 | − | 0.0563831i | ||||
\(221\) | −2.70634e10 | + | 4.68752e10i | −0.763163 | + | 1.32184i | ||||
\(222\) | −2.70622e9 | + | 1.00998e10i | −0.0747782 | + | 0.279076i | ||||
\(223\) | −3.62273e10 | + | 3.62273e10i | −0.980988 | + | 0.980988i | −0.999823 | − | 0.0188344i | \(-0.994004\pi\) |
0.0188344 | + | 0.999823i | \(0.494004\pi\) | |||||||
\(224\) | −6.18277e8 | − | 3.39716e9i | −0.0164084 | − | 0.0901571i | ||||
\(225\) | −2.14584e10 | − | 2.82961e10i | −0.558183 | − | 0.736046i | ||||
\(226\) | 1.90602e10 | + | 3.30133e10i | 0.486004 | + | 0.841784i | ||||
\(227\) | −1.45545e9 | + | 3.89988e8i | −0.0363816 | + | 0.00974843i | −0.276964 | − | 0.960880i | \(-0.589328\pi\) |
0.240582 | + | 0.970629i | \(0.422662\pi\) | |||||||
\(228\) | −2.54146e8 | + | 6.80983e7i | −0.00622841 | + | 0.00166890i | ||||
\(229\) | 2.65942e10 | + | 4.60625e10i | 0.639038 | + | 1.10685i | 0.985644 | + | 0.168836i | \(0.0540008\pi\) |
−0.346606 | + | 0.938011i | \(0.612666\pi\) | |||||||
\(230\) | −5.72262e9 | − | 1.70167e10i | −0.134840 | − | 0.400959i | ||||
\(231\) | −1.41134e10 | − | 5.04920e9i | −0.326120 | − | 0.116673i | ||||
\(232\) | 4.28710e10 | − | 4.28710e10i | 0.971557 | − | 0.971557i | ||||
\(233\) | 3.94319e9 | − | 1.47162e10i | 0.0876488 | − | 0.327110i | −0.908154 | − | 0.418637i | \(-0.862508\pi\) |
0.995803 | + | 0.0915269i | \(0.0291747\pi\) | |||||||
\(234\) | 3.48681e10 | − | 6.03933e10i | 0.760251 | − | 1.31679i | ||||
\(235\) | −3.38890e10 | − | 5.10312e10i | −0.724858 | − | 1.09152i | ||||
\(236\) | 1.85270e9 | − | 1.06966e9i | 0.0388778 | − | 0.0224461i | ||||
\(237\) | −1.54385e10 | − | 1.54385e10i | −0.317862 | − | 0.317862i | ||||
\(238\) | 4.78447e10 | + | 3.92108e9i | 0.966579 | + | 0.0792154i | ||||
\(239\) | 7.73103e9i | 0.153266i | 0.997059 | + | 0.0766331i | \(0.0244170\pi\) | ||||
−0.997059 | + | 0.0766331i | \(0.975583\pi\) | |||||||
\(240\) | −9.26885e8 | − | 1.47839e10i | −0.0180333 | − | 0.287632i | ||||
\(241\) | 6.29437e10 | + | 3.63405e10i | 1.20192 | + | 0.693928i | 0.960982 | − | 0.276612i | \(-0.0892118\pi\) |
0.240938 | + | 0.970541i | \(0.422545\pi\) | |||||||
\(242\) | 8.09954e9 | + | 3.02279e10i | 0.151807 | + | 0.566551i | ||||
\(243\) | −3.91530e10 | − | 1.04910e10i | −0.720338 | − | 0.193014i | ||||
\(244\) | 2.98469e9 | 0.0539069 | ||||||||
\(245\) | −4.36930e10 | + | 3.56569e10i | −0.774755 | + | 0.632261i | ||||
\(246\) | 2.11512e9 | 0.0368238 | ||||||||
\(247\) | 4.63159e10 | + | 1.24103e10i | 0.791760 | + | 0.212151i | ||||
\(248\) | −2.99313e9 | − | 1.11705e10i | −0.0502449 | − | 0.187517i | ||||
\(249\) | 7.49773e9 | + | 4.32882e9i | 0.123604 | + | 0.0713629i | ||||
\(250\) | −4.12410e10 | − | 4.78414e10i | −0.667727 | − | 0.774593i | ||||
\(251\) | 1.45028e9i | 0.0230632i | 0.999934 | + | 0.0115316i | \(0.00367071\pi\) | ||||
−0.999934 | + | 0.0115316i | \(0.996329\pi\) | |||||||
\(252\) | −2.70266e9 | − | 2.21495e8i | −0.0422171 | − | 0.00345988i | ||||
\(253\) | 2.39109e10 | + | 2.39109e10i | 0.366905 | + | 0.366905i | ||||
\(254\) | 5.07239e10 | − | 2.92855e10i | 0.764647 | − | 0.441469i | ||||
\(255\) | 1.73303e10 | + | 3.49833e9i | 0.256669 | + | 0.0518119i | ||||
\(256\) | −4.71687e9 | + | 8.16987e9i | −0.0686396 | + | 0.118887i | ||||
\(257\) | 1.59280e10 | − | 5.94443e10i | 0.227753 | − | 0.849984i | −0.753530 | − | 0.657413i | \(-0.771651\pi\) |
0.981283 | − | 0.192571i | \(-0.0616827\pi\) | |||||||
\(258\) | 8.47918e9 | − | 8.47918e9i | 0.119142 | − | 0.119142i | ||||
\(259\) | −6.97665e10 | − | 2.49597e10i | −0.963381 | − | 0.344659i | ||||
\(260\) | 2.41908e9 | − | 4.87054e9i | 0.0328299 | − | 0.0660993i | ||||
\(261\) | −4.87578e10 | − | 8.44510e10i | −0.650372 | − | 1.12648i | ||||
\(262\) | −4.99960e10 | + | 1.33964e10i | −0.655510 | + | 0.175643i | ||||
\(263\) | 1.46476e11 | − | 3.92481e10i | 1.88784 | − | 0.505846i | 0.888991 | − | 0.457924i | \(-0.151407\pi\) |
0.998851 | − | 0.0479214i | \(-0.0152597\pi\) | |||||||
\(264\) | 1.33373e10 | + | 2.31009e10i | 0.168986 | + | 0.292692i | ||||
\(265\) | −3.36699e9 | + | 6.77904e9i | −0.0419407 | + | 0.0844427i | ||||
\(266\) | −7.61468e9 | − | 4.18393e10i | −0.0932576 | − | 0.512410i | ||||
\(267\) | −1.53365e10 | + | 1.53365e10i | −0.184682 | + | 0.184682i | ||||
\(268\) | −1.38032e9 | + | 5.15144e9i | −0.0163446 | + | 0.0609989i | ||||
\(269\) | −2.63703e10 | + | 4.56746e10i | −0.307064 | + | 0.531851i | −0.977719 | − | 0.209919i | \(-0.932680\pi\) |
0.670655 | + | 0.741770i | \(0.266013\pi\) | |||||||
\(270\) | −4.64989e10 | − | 9.38637e9i | −0.532483 | − | 0.107488i | ||||
\(271\) | −1.01529e11 | + | 5.86178e10i | −1.14348 | + | 0.660188i | −0.947290 | − | 0.320378i | \(-0.896190\pi\) |
−0.196189 | + | 0.980566i | \(0.562857\pi\) | |||||||
\(272\) | −6.31826e10 | − | 6.31826e10i | −0.699902 | − | 0.699902i | ||||
\(273\) | −3.35383e10 | − | 2.32102e10i | −0.365435 | − | 0.252899i | ||||
\(274\) | 1.55828e11i | 1.67020i | ||||||||
\(275\) | 1.09653e11 | + | 4.61503e10i | 1.15618 | + | 0.486606i | ||||
\(276\) | −4.37247e8 | − | 2.52445e8i | −0.00453561 | − | 0.00261864i | ||||
\(277\) | −1.54616e10 | − | 5.77036e10i | −0.157796 | − | 0.588903i | −0.998850 | − | 0.0479513i | \(-0.984731\pi\) |
0.841054 | − | 0.540952i | \(-0.181936\pi\) | |||||||
\(278\) | 1.50616e11 | + | 4.03574e10i | 1.51241 | + | 0.405248i | ||||
\(279\) | −1.86005e10 | −0.183783 | ||||||||
\(280\) | 1.00342e11 | + | 1.92257e9i | 0.975597 | + | 0.0186927i | ||||
\(281\) | −1.49997e11 | −1.43517 | −0.717587 | − | 0.696469i | \(-0.754753\pi\) | ||||
−0.717587 | + | 0.696469i | \(0.754753\pi\) | |||||||
\(282\) | −3.79538e10 | − | 1.01697e10i | −0.357384 | − | 0.0957606i | ||||
\(283\) | −1.54516e10 | − | 5.76663e10i | −0.143197 | − | 0.534420i | −0.999829 | − | 0.0184916i | \(-0.994114\pi\) |
0.856632 | − | 0.515929i | \(-0.172553\pi\) | |||||||
\(284\) | −7.55563e8 | − | 4.36225e8i | −0.00689189 | − | 0.00397904i | ||||
\(285\) | −9.80026e8 | − | 1.56315e10i | −0.00879905 | − | 0.140345i | ||||
\(286\) | 2.33622e11i | 2.06474i | ||||||||
\(287\) | −1.22430e9 | + | 1.49388e10i | −0.0106517 | + | 0.129971i | ||||
\(288\) | 6.98854e9 | + | 6.98854e9i | 0.0598577 | + | 0.0598577i | ||||
\(289\) | −1.03407e10 | + | 5.97020e9i | −0.0871985 | + | 0.0503441i | ||||
\(290\) | −9.59510e10 | − | 1.44486e11i | −0.796634 | − | 1.19960i | ||||
\(291\) | −2.72151e10 | + | 4.71379e10i | −0.222480 | + | 0.385347i | ||||
\(292\) | −6.92176e8 | + | 2.58324e9i | −0.00557178 | + | 0.0207942i | ||||
\(293\) | 1.48691e11 | − | 1.48691e11i | 1.17864 | − | 1.17864i | 0.198550 | − | 0.980091i | \(-0.436377\pi\) |
0.980091 | − | 0.198550i | \(-0.0636232\pi\) | |||||||
\(294\) | −5.88960e9 | + | 3.56908e10i | −0.0459751 | + | 0.278608i | ||||
\(295\) | 4.05920e10 | + | 1.20704e11i | 0.312062 | + | 0.927944i | ||||
\(296\) | 6.59302e10 | + | 1.14194e11i | 0.499196 | + | 0.864633i | ||||
\(297\) | 8.63036e10 | − | 2.31250e10i | 0.643613 | − | 0.172456i | ||||
\(298\) | −1.09271e11 | + | 2.92790e10i | −0.802659 | + | 0.215072i | ||||
\(299\) | 4.60058e10 | + | 7.96844e10i | 0.332883 | + | 0.576571i | ||||
\(300\) | −1.75978e9 | − | 2.41842e8i | −0.0125433 | − | 0.00172379i | ||||
\(301\) | 5.49791e10 | + | 6.47951e10i | 0.386054 | + | 0.454981i | ||||
\(302\) | −1.42935e11 | + | 1.42935e11i | −0.988799 | + | 0.988799i | ||||
\(303\) | −1.13180e9 | + | 4.22392e9i | −0.00771394 | + | 0.0287888i | ||||
\(304\) | −3.95782e10 | + | 6.85515e10i | −0.265782 | + | 0.460347i | ||||
\(305\) | −3.51555e10 | + | 1.74156e11i | −0.232618 | + | 1.15236i | ||||
\(306\) | −1.18995e11 | + | 6.87015e10i | −0.775855 | + | 0.447940i | ||||
\(307\) | −1.20986e11 | − | 1.20986e11i | −0.777346 | − | 0.777346i | 0.202033 | − | 0.979379i | \(-0.435245\pi\) |
−0.979379 | + | 0.202033i | \(0.935245\pi\) | |||||||
\(308\) | 8.21211e9 | − | 3.88445e9i | 0.0519968 | − | 0.0245952i | ||||
\(309\) | − | 4.99435e10i | − | 0.311649i | ||||||
\(310\) | −3.30185e10 | + | 2.07012e9i | −0.203062 | + | 0.0127312i | ||||
\(311\) | 3.49223e10 | + | 2.01624e10i | 0.211681 | + | 0.122214i | 0.602092 | − | 0.798427i | \(-0.294334\pi\) |
−0.390412 | + | 0.920640i | \(0.627667\pi\) | |||||||
\(312\) | 1.87856e10 | + | 7.01090e10i | 0.112236 | + | 0.418869i | ||||
\(313\) | 5.22373e10 | + | 1.39969e10i | 0.307632 | + | 0.0824297i | 0.409332 | − | 0.912385i | \(-0.365762\pi\) |
−0.101700 | + | 0.994815i | \(0.532428\pi\) | |||||||
\(314\) | −1.96552e11 | −1.14102 | ||||||||
\(315\) | 4.47577e10 | − | 1.55091e11i | 0.256136 | − | 0.887540i | ||||
\(316\) | 1.32324e10 | 0.0746527 | ||||||||
\(317\) | 7.75021e10 | + | 2.07666e10i | 0.431069 | + | 0.115505i | 0.467828 | − | 0.883820i | \(-0.345037\pi\) |
−0.0367590 | + | 0.999324i | \(0.511703\pi\) | |||||||
\(318\) | 1.25657e9 | + | 4.68958e9i | 0.00689072 | + | 0.0257165i | ||||
\(319\) | 2.82917e11 | + | 1.63342e11i | 1.52968 | + | 0.883163i | ||||
\(320\) | −1.33646e11 | − | 1.17877e11i | −0.712496 | − | 0.628426i | ||||
\(321\) | − | 7.08270e10i | − | 0.372329i | ||||||
\(322\) | 4.64387e10 | − | 6.71032e10i | 0.240729 | − | 0.347850i | ||||
\(323\) | −6.68050e10 | − | 6.68050e10i | −0.341506 | − | 0.341506i | ||||
\(324\) | 6.12123e9 | − | 3.53410e9i | 0.0308593 | − | 0.0178166i | ||||
\(325\) | 2.55701e11 | + | 1.98521e11i | 1.27133 | + | 0.987031i | ||||
\(326\) | 4.57130e10 | − | 7.91773e10i | 0.224161 | − | 0.388259i | ||||
\(327\) | 1.12443e10 | − | 4.19643e10i | 0.0543836 | − | 0.202962i | ||||
\(328\) | 1.88611e10 | − | 1.88611e10i | 0.0899778 | − | 0.0899778i | ||||
\(329\) | 9.37958e10 | − | 2.62175e11i | 0.441369 | − | 1.23370i | ||||
\(330\) | 7.23290e10 | − | 2.43238e10i | 0.335737 | − | 0.112907i | ||||
\(331\) | −1.67191e11 | − | 2.89583e11i | −0.765573 | − | 1.32601i | −0.939943 | − | 0.341331i | \(-0.889122\pi\) |
0.174370 | − | 0.984680i | \(-0.444211\pi\) | |||||||
\(332\) | −5.06826e9 | + | 1.35804e9i | −0.0228948 | + | 0.00613465i | ||||
\(333\) | 2.04858e11 | − | 5.48916e10i | 0.912965 | − | 0.244628i | ||||
\(334\) | −1.67765e11 | − | 2.90578e11i | −0.737638 | − | 1.27763i | ||||
\(335\) | −2.84327e11 | − | 1.41218e11i | −1.23343 | − | 0.612617i | ||||
\(336\) | 5.13401e10 | − | 4.35624e10i | 0.219750 | − | 0.186460i | ||||
\(337\) | 1.51131e11 | − | 1.51131e11i | 0.638293 | − | 0.638293i | −0.311841 | − | 0.950134i | \(-0.600946\pi\) |
0.950134 | + | 0.311841i | \(0.100946\pi\) | |||||||
\(338\) | −1.01016e11 | + | 3.76998e11i | −0.420985 | + | 1.57114i | ||||
\(339\) | −3.19077e10 | + | 5.52657e10i | −0.131219 | + | 0.227278i | ||||
\(340\) | −8.92607e9 | + | 5.92766e9i | −0.0362248 | + | 0.0240563i | ||||
\(341\) | 5.39646e10 | − | 3.11565e10i | 0.216130 | − | 0.124783i | ||||
\(342\) | 8.60706e10 | + | 8.60706e10i | 0.340202 | + | 0.340202i | ||||
\(343\) | −2.48669e11 | − | 6.22563e10i | −0.970061 | − | 0.242862i | ||||
\(344\) | − | 1.51222e11i | − | 0.582241i | ||||||
\(345\) | 1.98802e10 | − | 2.25398e10i | 0.0755502 | − | 0.0856573i | ||||
\(346\) | 8.22404e10 | + | 4.74815e10i | 0.308491 | + | 0.178108i | ||||
\(347\) | −7.07556e10 | − | 2.64064e11i | −0.261986 | − | 0.977746i | −0.964069 | − | 0.265651i | \(-0.914413\pi\) |
0.702083 | − | 0.712095i | \(-0.252253\pi\) | |||||||
\(348\) | −4.71149e9 | − | 1.26244e9i | −0.0172208 | − | 0.00461429i | ||||
\(349\) | 2.89272e11 | 1.04374 | 0.521870 | − | 0.853025i | \(-0.325235\pi\) | ||||
0.521870 | + | 0.853025i | \(0.325235\pi\) | |||||||
\(350\) | 6.21908e10 | − | 2.80289e11i | 0.221523 | − | 0.998390i | ||||
\(351\) | 2.43118e11 | 0.854939 | ||||||||
\(352\) | −3.19816e10 | − | 8.56944e9i | −0.111034 | − | 0.0297516i | ||||
\(353\) | −4.92003e10 | − | 1.83618e11i | −0.168648 | − | 0.629404i | −0.997547 | − | 0.0700045i | \(-0.977699\pi\) |
0.828899 | − | 0.559399i | \(-0.188968\pi\) | |||||||
\(354\) | 7.07393e10 | + | 4.08413e10i | 0.239412 | + | 0.138225i | ||||
\(355\) | 3.43531e10 | − | 3.89488e10i | 0.114799 | − | 0.130157i | ||||
\(356\) | − | 1.31449e10i | − | 0.0433743i | ||||||
\(357\) | 3.43624e10 | + | 7.26456e10i | 0.111964 | + | 0.236702i | ||||
\(358\) | 9.78749e10 | + | 9.78749e10i | 0.314918 | + | 0.314918i | ||||
\(359\) | −3.11120e11 | + | 1.79625e11i | −0.988561 | + | 0.570746i | −0.904844 | − | 0.425744i | \(-0.860013\pi\) |
−0.0837171 | + | 0.996490i | \(0.526679\pi\) | |||||||
\(360\) | −2.39297e11 | + | 1.58913e11i | −0.750890 | + | 0.498654i | ||||
\(361\) | 1.19497e11 | − | 2.06974e11i | 0.370316 | − | 0.641407i | ||||
\(362\) | 6.61128e10 | − | 2.46736e11i | 0.202347 | − | 0.755169i | ||||
\(363\) | −3.70438e10 | + | 3.70438e10i | −0.111979 | + | 0.111979i | ||||
\(364\) | 2.43196e10 | − | 4.42611e9i | 0.0726105 | − | 0.0132150i | ||||
\(365\) | −1.42578e11 | − | 7.08152e10i | −0.420470 | − | 0.208838i | ||||
\(366\) | 5.69802e10 | + | 9.86925e10i | 0.165981 | + | 0.287488i | ||||
\(367\) | −3.53593e11 | + | 9.47449e10i | −1.01743 | + | 0.272621i | −0.728732 | − | 0.684798i | \(-0.759890\pi\) |
−0.288702 | + | 0.957419i | \(0.593224\pi\) | |||||||
\(368\) | −1.46719e11 | + | 3.93132e10i | −0.417034 | + | 0.111744i | ||||
\(369\) | −2.14510e10 | − | 3.71543e10i | −0.0602323 | − | 0.104325i | ||||
\(370\) | 3.57543e11 | − | 1.20240e11i | 0.991793 | − | 0.333534i | ||||
\(371\) | −3.38491e10 | + | 6.16047e9i | −0.0927608 | + | 0.0168823i | ||||
\(372\) | −6.57884e8 | + | 6.57884e8i | −0.00178117 | + | 0.00178117i | ||||
\(373\) | −1.55398e11 | + | 5.79951e11i | −0.415675 | + | 1.55132i | 0.367804 | + | 0.929904i | \(0.380110\pi\) |
−0.783479 | + | 0.621418i | \(0.786557\pi\) | |||||||
\(374\) | 2.30155e11 | − | 3.98641e11i | 0.608274 | − | 1.05356i | ||||
\(375\) | 3.48391e10 | − | 9.98341e10i | 0.0909760 | − | 0.260698i | ||||
\(376\) | −4.29130e11 | + | 2.47759e11i | −1.10725 | + | 0.639269i | ||||
\(377\) | 6.28559e11 | + | 6.28559e11i | 1.60254 | + | 1.60254i | ||||
\(378\) | −9.21979e10 | − | 1.94916e11i | −0.232278 | − | 0.491059i | ||||
\(379\) | 2.29583e11i | 0.571562i | 0.958295 | + | 0.285781i | \(0.0922530\pi\) | ||||
−0.958295 | + | 0.285781i | \(0.907747\pi\) | |||||||
\(380\) | 7.11884e9 | + | 6.27886e9i | 0.0175139 | + | 0.0154474i | ||||
\(381\) | 8.49141e10 | + | 4.90252e10i | 0.206451 | + | 0.119195i | ||||
\(382\) | 1.54593e11 | + | 5.76948e11i | 0.371453 | + | 1.38628i | ||||
\(383\) | −4.54725e11 | − | 1.21843e11i | −1.07983 | − | 0.289339i | −0.325303 | − | 0.945610i | \(-0.605466\pi\) |
−0.754525 | + | 0.656271i | \(0.772133\pi\) | |||||||
\(384\) | −1.25084e11 | −0.293570 | ||||||||
\(385\) | 1.29929e11 | + | 5.24928e11i | 0.301393 | + | 1.21766i | ||||
\(386\) | 5.42888e11 | 1.24471 | ||||||||
\(387\) | −2.34939e11 | − | 6.29517e10i | −0.532421 | − | 0.142662i | ||||
\(388\) | −8.53791e9 | − | 3.18639e10i | −0.0191253 | − | 0.0713767i | ||||
\(389\) | −1.41271e10 | − | 8.15630e9i | −0.0312810 | − | 0.0180601i | 0.484278 | − | 0.874914i | \(-0.339082\pi\) |
−0.515559 | + | 0.856854i | \(0.672416\pi\) | |||||||
\(390\) | 2.07233e11 | − | 1.29926e10i | 0.453595 | − | 0.0284384i | ||||
\(391\) | − | 1.81293e11i | − | 0.392270i | ||||||
\(392\) | 2.65746e11 | + | 3.70784e11i | 0.568432 | + | 0.793110i | ||||
\(393\) | −6.12694e10 | − | 6.12694e10i | −0.129562 | − | 0.129562i | ||||
\(394\) | −5.14367e11 | + | 2.96970e11i | −1.07533 | + | 0.620840i | ||||
\(395\) | −1.55859e11 | + | 7.72104e11i | −0.322140 | + | 1.59584i | ||||
\(396\) | −1.30011e10 | + | 2.25185e10i | −0.0265675 | + | 0.0460162i | ||||
\(397\) | 1.63027e11 | − | 6.08423e11i | 0.329383 | − | 1.22927i | −0.580449 | − | 0.814297i | \(-0.697123\pi\) |
0.909832 | − | 0.414977i | \(-0.136210\pi\) | |||||||
\(398\) | 9.91857e10 | − | 9.91857e10i | 0.198141 | − | 0.198141i | ||||
\(399\) | 5.42835e10 | − | 4.60599e10i | 0.107224 | − | 0.0909799i | ||||
\(400\) | −4.25807e11 | + | 3.22913e11i | −0.831655 | + | 0.630689i | ||||
\(401\) | −3.89262e11 | − | 6.74222e11i | −0.751783 | − | 1.30213i | −0.946958 | − | 0.321358i | \(-0.895861\pi\) |
0.195175 | − | 0.980768i | \(-0.437473\pi\) | |||||||
\(402\) | −1.96690e11 | + | 5.27031e10i | −0.375635 | + | 0.100651i | ||||
\(403\) | 1.63778e11 | − | 4.38841e10i | 0.309301 | − | 0.0828770i | ||||
\(404\) | −1.32513e9 | − | 2.29519e9i | −0.00247481 | − | 0.00428649i | ||||
\(405\) | 1.34114e11 | + | 3.98799e11i | 0.247700 | + | 0.736557i | ||||
\(406\) | 2.65567e11 | − | 7.42306e11i | 0.485073 | − | 1.35586i | ||||
\(407\) | −5.02399e11 | + | 5.02399e11i | −0.907558 | + | 0.907558i | ||||
\(408\) | 3.70139e10 | − | 1.38138e11i | 0.0661292 | − | 0.246798i | ||||
\(409\) | 3.23504e11 | − | 5.60325e11i | 0.571643 | − | 0.990114i | −0.424755 | − | 0.905308i | \(-0.639640\pi\) |
0.996398 | − | 0.0848056i | \(-0.0270269\pi\) | |||||||
\(410\) | −4.22137e10 | − | 6.35668e10i | −0.0737778 | − | 0.111097i | ||||
\(411\) | −2.25914e11 | + | 1.30432e11i | −0.390531 | + | 0.225473i | ||||
\(412\) | 2.14032e10 | + | 2.14032e10i | 0.0365967 | + | 0.0365967i | ||||
\(413\) | −3.29402e11 | + | 4.75980e11i | −0.557123 | + | 0.805032i | ||||
\(414\) | 2.33575e11i | 0.390773i | ||||||||
\(415\) | −1.95440e10 | − | 3.11727e11i | −0.0323442 | − | 0.515892i | ||||
\(416\) | −7.80223e10 | − | 4.50462e10i | −0.127732 | − | 0.0737459i | ||||
\(417\) | 6.75600e10 | + | 2.52137e11i | 0.109415 | + | 0.408343i | ||||
\(418\) | −3.93884e11 | − | 1.05541e11i | −0.631067 | − | 0.169094i | ||||
\(419\) | 4.97851e11 | 0.789107 | 0.394554 | − | 0.918873i | \(-0.370899\pi\) | ||||
0.394554 | + | 0.918873i | \(0.370899\pi\) | |||||||
\(420\) | −3.90239e9 | − | 7.06848e9i | −0.00611939 | − | 0.0110842i | ||||
\(421\) | 3.31117e11 | 0.513703 | 0.256851 | − | 0.966451i | \(-0.417315\pi\) | ||||
0.256851 | + | 0.966451i | \(0.417315\pi\) | |||||||
\(422\) | 1.98558e11 | + | 5.32034e10i | 0.304776 | + | 0.0816645i | ||||
\(423\) | 2.06277e11 | + | 7.69835e11i | 0.313270 | + | 1.16914i | ||||
\(424\) | 5.30234e10 | + | 3.06131e10i | 0.0796749 | + | 0.0460003i | ||||
\(425\) | −2.40741e11 | − | 5.90654e11i | −0.357931 | − | 0.878178i | ||||
\(426\) | − | 3.33116e10i | − | 0.0490063i | ||||||
\(427\) | −7.30031e11 | + | 3.45315e11i | −1.06271 | + | 0.502679i | ||||
\(428\) | 3.03529e10 | + | 3.03529e10i | 0.0437223 | + | 0.0437223i | ||||
\(429\) | −3.38696e11 | + | 1.95546e11i | −0.482784 | + | 0.278735i | ||||
\(430\) | −4.24056e11 | − | 8.56010e10i | −0.598157 | − | 0.120745i | ||||
\(431\) | 3.23601e11 | − | 5.60493e11i | 0.451713 | − | 0.782389i | −0.546780 | − | 0.837276i | \(-0.684147\pi\) |
0.998493 | + | 0.0548873i | \(0.0174799\pi\) | |||||||
\(432\) | −1.03876e11 | + | 3.87669e11i | −0.143495 | + | 0.535530i | ||||
\(433\) | −4.79907e8 | + | 4.79907e8i | −0.000656087 | + | 0.000656087i | −0.707435 | − | 0.706779i | \(-0.750148\pi\) |
0.706779 | + | 0.707435i | \(0.250148\pi\) | |||||||
\(434\) | −9.72929e10 | − | 1.14664e11i | −0.131637 | − | 0.155139i | ||||
\(435\) | 1.29158e11 | − | 2.60045e11i | 0.172950 | − | 0.348214i | ||||
\(436\) | 1.31650e10 | + | 2.28025e10i | 0.0174475 | + | 0.0302199i | ||||
\(437\) | −1.55131e11 | + | 4.15672e10i | −0.203485 | + | 0.0545235i | ||||
\(438\) | −9.86323e10 | + | 2.64284e10i | −0.128052 | + | 0.0343114i | ||||
\(439\) | −1.35469e11 | − | 2.34639e11i | −0.174080 | − | 0.301516i | 0.765762 | − | 0.643124i | \(-0.222362\pi\) |
−0.939843 | + | 0.341608i | \(0.889029\pi\) | |||||||
\(440\) | 4.28075e11 | − | 8.61880e11i | 0.544481 | − | 1.09625i | ||||
\(441\) | 6.86676e11 | − | 2.58510e11i | 0.864526 | − | 0.325465i | ||||
\(442\) | 8.85662e11 | − | 8.85662e11i | 1.10374 | − | 1.10374i | ||||
\(443\) | −1.70180e11 | + | 6.35120e11i | −0.209938 | + | 0.783500i | 0.777949 | + | 0.628327i | \(0.216260\pi\) |
−0.987887 | + | 0.155173i | \(0.950407\pi\) | |||||||
\(444\) | 5.30420e9 | − | 9.18715e9i | 0.00647734 | − | 0.0112191i | ||||
\(445\) | 7.67001e11 | + | 1.54829e11i | 0.927205 | + | 0.187168i | ||||
\(446\) | 1.02672e12 | − | 5.92777e11i | 1.22870 | − | 0.709389i | ||||
\(447\) | −1.33910e11 | − | 1.33910e11i | −0.158646 | − | 0.158646i | ||||
\(448\) | 6.61623e10 | − | 8.07305e11i | 0.0775996 | − | 0.946862i | ||||
\(449\) | − | 1.05911e12i | − | 1.22980i | −0.788606 | − | 0.614898i | \(-0.789197\pi\) | ||
0.788606 | − | 0.614898i | \(-0.210803\pi\) | |||||||
\(450\) | 3.10167e11 | + | 7.60989e11i | 0.356565 | + | 0.874827i | ||||
\(451\) | 1.24470e11 | + | 7.18626e10i | 0.141667 | + | 0.0817916i | ||||
\(452\) | −1.00101e10 | − | 3.73581e10i | −0.0112801 | − | 0.0420980i | ||||
\(453\) | −3.26862e11 | − | 8.75825e10i | −0.364689 | − | 0.0977182i | ||||
\(454\) | 3.48679e10 | 0.0385189 | ||||||||
\(455\) | −2.81881e10 | + | 1.47117e12i | −0.0308329 | + | 1.60921i | ||||
\(456\) | −1.26690e11 | −0.137214 | ||||||||
\(457\) | −1.54783e11 | − | 4.14739e10i | −0.165997 | − | 0.0444786i | 0.174864 | − | 0.984593i | \(-0.444052\pi\) |
−0.340860 | + | 0.940114i | \(0.610718\pi\) | |||||||
\(458\) | −3.18554e11 | − | 1.18886e12i | −0.338290 | − | 1.26251i | ||||
\(459\) | −4.14845e11 | − | 2.39511e11i | −0.436243 | − | 0.251865i | ||||
\(460\) | 1.13975e9 | + | 1.81791e10i | 0.00118686 | + | 0.0189305i | ||||
\(461\) | 1.81186e12i | 1.86840i | 0.356750 | + | 0.934200i | \(0.383885\pi\) | ||||
−0.356750 | + | 0.934200i | \(0.616115\pi\) | |||||||
\(462\) | 2.85220e11 | + | 1.97387e11i | 0.291267 | + | 0.201571i | ||||
\(463\) | −7.15780e11 | − | 7.15780e11i | −0.723878 | − | 0.723878i | 0.245515 | − | 0.969393i | \(-0.421043\pi\) |
−0.969393 | + | 0.245515i | \(0.921043\pi\) | |||||||
\(464\) | −1.27084e12 | + | 7.33721e11i | −1.27280 | + | 0.734853i | ||||
\(465\) | −3.06384e10 | − | 4.61363e10i | −0.0303898 | − | 0.0457620i | ||||
\(466\) | −1.76276e11 | + | 3.05318e11i | −0.173163 | + | 0.299927i | ||||
\(467\) | 3.67380e10 | − | 1.37108e11i | 0.0357428 | − | 0.133394i | −0.945749 | − | 0.324898i | \(-0.894670\pi\) |
0.981492 | + | 0.191504i | \(0.0613366\pi\) | |||||||
\(468\) | −5.00295e10 | + | 5.00295e10i | −0.0482080 | + | 0.0482080i | ||||
\(469\) | −2.58383e11 | − | 1.41970e12i | −0.246596 | − | 1.35494i | ||||
\(470\) | 4.51849e11 | + | 1.34361e12i | 0.427123 | + | 1.27009i | ||||
\(471\) | −1.64519e11 | − | 2.84955e11i | −0.154036 | − | 0.266798i | ||||
\(472\) | 9.94994e11 | − | 2.66608e11i | 0.922745 | − | 0.247249i | ||||
\(473\) | 7.87063e11 | − | 2.10893e11i | 0.722994 | − | 0.193726i | ||||
\(474\) | 2.52617e11 | + | 4.37545e11i | 0.229858 | + | 0.398126i | ||||
\(475\) | −4.50220e11 | + | 3.41426e11i | −0.405792 | + | 0.307734i | ||||
\(476\) | −4.58582e10 | − | 1.64062e10i | −0.0409436 | − | 0.0146480i | ||||
\(477\) | 6.96334e10 | − | 6.96334e10i | 0.0615864 | − | 0.0615864i | ||||
\(478\) | 4.63025e10 | − | 1.72803e11i | 0.0405675 | − | 0.151400i | ||||
\(479\) | −4.29437e11 | + | 7.43807e11i | −0.372726 | + | 0.645581i | −0.989984 | − | 0.141180i | \(-0.954910\pi\) |
0.617258 | + | 0.786761i | \(0.288244\pi\) | |||||||
\(480\) | −5.82285e9 | + | 2.88457e10i | −0.00500669 | + | 0.0248025i | ||||
\(481\) | −1.67427e12 | + | 9.66643e11i | −1.42618 | + | 0.823405i | ||||
\(482\) | −1.18926e12 | − | 1.18926e12i | −1.00361 | − | 1.00361i | ||||
\(483\) | 1.36154e11 | + | 1.11584e10i | 0.113833 | + | 0.00932913i | ||||
\(484\) | − | 3.17502e10i | − | 0.0262992i | ||||||
\(485\) | 1.95982e12 | − | 1.22872e11i | 1.60834 | − | 0.100836i | ||||
\(486\) | 8.12311e11 | + | 4.68988e11i | 0.660479 | + | 0.381328i | ||||
\(487\) | −2.71878e11 | − | 1.01466e12i | −0.219025 | − | 0.817412i | −0.984711 | − | 0.174197i | \(-0.944267\pi\) |
0.765686 | − | 0.643215i | \(-0.222400\pi\) | |||||||
\(488\) | 1.38818e12 | + | 3.71961e11i | 1.10804 | + | 0.296898i | ||||
\(489\) | 1.53051e11 | 0.121045 | ||||||||
\(490\) | 1.19018e12 | − | 5.35315e11i | 0.932673 | − | 0.419495i | ||||
\(491\) | 1.01910e12 | 0.791317 | 0.395658 | − | 0.918398i | \(-0.370516\pi\) | ||||
0.395658 | + | 0.918398i | \(0.370516\pi\) | |||||||
\(492\) | −2.07282e9 | − | 5.55412e8i | −0.00159485 | − | 0.000427338i | ||||
\(493\) | −4.53310e11 | − | 1.69178e12i | −0.345608 | − | 1.28983i | ||||
\(494\) | −9.60920e11 | − | 5.54788e11i | −0.725966 | − | 0.419137i | ||||
\(495\) | −1.16081e12 | − | 1.02385e12i | −0.869039 | − | 0.766498i | ||||
\(496\) | 2.79905e11i | 0.207655i | ||||||||
\(497\) | 2.35274e11 | + | 1.92818e10i | 0.172970 | + | 0.0141757i | ||||
\(498\) | −1.41663e11 | − | 1.41663e11i | −0.103210 | − | 0.103210i | ||||
\(499\) | 1.28296e12 | − | 7.40719e11i | 0.926322 | − | 0.534812i | 0.0406755 | − | 0.999172i | \(-0.487049\pi\) |
0.885646 | + | 0.464360i | \(0.153716\pi\) | |||||||
\(500\) | 2.78535e10 | + | 5.77141e10i | 0.0199304 | + | 0.0412969i | ||||
\(501\) | 2.80847e11 | − | 4.86440e11i | 0.199159 | − | 0.344953i | ||||
\(502\) | 8.68598e9 | − | 3.24165e10i | 0.00610453 | − | 0.0227824i | ||||
\(503\) | −6.61569e11 | + | 6.61569e11i | −0.460807 | + | 0.460807i | −0.898920 | − | 0.438113i | \(-0.855647\pi\) |
0.438113 | + | 0.898920i | \(0.355647\pi\) | |||||||
\(504\) | −1.22940e12 | − | 4.39830e11i | −0.848704 | − | 0.303632i | ||||
\(505\) | 1.49532e11 | − | 5.02867e10i | 0.102311 | − | 0.0344066i | ||||
\(506\) | −3.91247e11 | − | 6.77660e11i | −0.265322 | − | 0.459552i | ||||
\(507\) | −6.31112e11 | + | 1.69106e11i | −0.424200 | + | 0.113664i | ||||
\(508\) | −5.73996e10 | + | 1.53802e10i | −0.0382404 | + | 0.0102465i | ||||
\(509\) | 1.38306e12 | + | 2.39552e12i | 0.913292 | + | 1.58187i | 0.809383 | + | 0.587281i | \(0.199802\pi\) |
0.103909 | + | 0.994587i | \(0.466865\pi\) | |||||||
\(510\) | −3.66412e11 | − | 1.81988e11i | −0.239830 | − | 0.119118i | ||||
\(511\) | −1.29568e11 | − | 7.11922e11i | −0.0840630 | − | 0.461890i | ||||
\(512\) | −1.01465e12 | + | 1.01465e12i | −0.652533 | + | 0.652533i | ||||
\(513\) | −1.09831e11 | + | 4.09895e11i | −0.0700159 | + | 0.261303i | ||||
\(514\) | −7.12044e11 | + | 1.23330e12i | −0.449959 | + | 0.779352i | ||||
\(515\) | −1.50097e12 | + | 9.96772e11i | −0.940243 | + | 0.624401i | ||||
\(516\) | −1.05362e10 | + | 6.08305e9i | −0.00654272 | + | 0.00377744i | ||||
\(517\) | −1.88796e12 | − | 1.88796e12i | −1.16221 | − | 1.16221i | ||||
\(518\) | 1.40993e12 | + | 9.75740e11i | 0.860424 | + | 0.595457i | ||||
\(519\) | 1.58972e11i | 0.0961764i | ||||||||
\(520\) | 1.73209e12 | − | 1.96381e12i | 1.03886 | − | 1.17783i | ||||
\(521\) | 1.27095e12 | + | 7.33781e11i | 0.755714 | + | 0.436312i | 0.827755 | − | 0.561090i | \(-0.189618\pi\) |
−0.0720408 | + | 0.997402i | \(0.522951\pi\) | |||||||
\(522\) | 5.84038e11 | + | 2.17966e12i | 0.344290 | + | 1.28491i | ||||
\(523\) | 2.76686e12 | + | 7.41378e11i | 1.61707 | + | 0.433294i | 0.950140 | − | 0.311823i | \(-0.100940\pi\) |
0.666934 | + | 0.745117i | \(0.267606\pi\) | |||||||
\(524\) | 5.25139e10 | 0.0304287 | ||||||||
\(525\) | 4.58408e11 | − | 1.44446e11i | 0.263351 | − | 0.0829831i | ||||
\(526\) | −3.50908e12 | −1.99875 | ||||||||
\(527\) | −3.22695e11 | − | 8.64659e10i | −0.182240 | − | 0.0488312i | ||||
\(528\) | −1.67100e11 | − | 6.23625e11i | −0.0935672 | − | 0.349198i | ||||
\(529\) | 1.29295e12 | + | 7.46484e11i | 0.717845 | + | 0.414448i | ||||
\(530\) | 1.15859e11 | − | 1.31359e11i | 0.0637808 | − | 0.0723133i | ||||
\(531\) | − | 1.65681e12i | − | 0.904371i | ||||||
\(532\) | −3.52422e9 | + | 4.30021e10i | −0.00190748 | + | 0.0232749i | ||||
\(533\) | 2.76535e11 | + | 2.76535e11i | 0.148415 | + | 0.148415i | ||||
\(534\) | 4.34653e11 | − | 2.50947e11i | 0.231317 | − | 0.133551i | ||||
\(535\) | −2.12860e12 | + | 1.41357e12i | −1.12331 | + | 0.745975i | ||||
\(536\) | −1.28397e12 | + | 2.22391e12i | −0.671916 | + | 1.16379i | ||||
\(537\) | −5.99722e10 | + | 2.23819e11i | −0.0311218 | + | 0.116148i | ||||
\(538\) | 8.62979e11 | − | 8.62979e11i | 0.444099 | − | 0.444099i | ||||
\(539\) | −1.55920e12 | + | 1.90021e12i | −0.795708 | + | 0.969733i | ||||
\(540\) | 4.31042e10 | + | 2.14088e10i | 0.0218146 | + | 0.0108348i | ||||
\(541\) | −4.81642e11 | − | 8.34228e11i | −0.241733 | − | 0.418694i | 0.719475 | − | 0.694519i | \(-0.244383\pi\) |
−0.961208 | + | 0.275824i | \(0.911049\pi\) | |||||||
\(542\) | 2.62044e12 | − | 7.02144e11i | 1.30430 | − | 0.349486i | ||||
\(543\) | 4.13047e11 | − | 1.10676e11i | 0.203892 | − | 0.0546328i | ||||
\(544\) | 8.87557e10 | + | 1.53729e11i | 0.0434511 | + | 0.0752596i | ||||
\(545\) | −1.48559e12 | + | 4.99594e11i | −0.721296 | + | 0.242568i | ||||
\(546\) | 6.10636e11 | + | 7.19659e11i | 0.294046 | + | 0.346545i | ||||
\(547\) | −1.23049e12 | + | 1.23049e12i | −0.587672 | + | 0.587672i | −0.937000 | − | 0.349329i | \(-0.886410\pi\) |
0.349329 | + | 0.937000i | \(0.386410\pi\) | |||||||
\(548\) | 4.09190e10 | − | 1.52712e11i | 0.0193826 | − | 0.0723369i | ||||
\(549\) | 1.15576e12 | − | 2.00183e12i | 0.542988 | − | 0.940483i | ||||
\(550\) | −2.17456e12 | − | 1.68828e12i | −1.01330 | − | 0.786706i | ||||
\(551\) | −1.34370e12 | + | 7.75788e11i | −0.621043 | + | 0.358559i | ||||
\(552\) | −1.71903e11 | − | 1.71903e11i | −0.0788056 | − | 0.0788056i | ||||
\(553\) | −3.23653e12 | + | 1.53093e12i | −1.47169 | + | 0.696132i | ||||
\(554\) | 1.38239e12i | 0.623499i | ||||||||
\(555\) | 4.73591e11 | + | 4.17710e11i | 0.211878 | + | 0.186877i | ||||
\(556\) | −1.37006e11 | − | 7.91005e10i | −0.0608000 | − | 0.0351029i | ||||
\(557\) | 1.92192e11 | + | 7.17270e11i | 0.0846032 | + | 0.315743i | 0.995239 | − | 0.0974671i | \(-0.0310741\pi\) |
−0.910636 | + | 0.413210i | \(0.864407\pi\) | |||||||
\(558\) | 4.15756e11 | + | 1.11401e11i | 0.181545 | + | 0.0486448i | ||||
\(559\) | 2.21716e12 | 0.960384 | ||||||||
\(560\) | −2.33385e12 | − | 6.73527e11i | −1.00283 | − | 0.289407i | ||||
\(561\) | 7.70581e11 | 0.328462 | ||||||||
\(562\) | 3.35272e12 | + | 8.98358e11i | 1.41770 | + | 0.379871i | ||||
\(563\) | −8.84487e10 | − | 3.30095e11i | −0.0371026 | − | 0.138469i | 0.944890 | − | 0.327388i | \(-0.106168\pi\) |
−0.981993 | + | 0.188919i | \(0.939502\pi\) | |||||||
\(564\) | 3.45243e10 | + | 1.99326e10i | 0.0143671 | + | 0.00829485i | ||||
\(565\) | 2.29774e12 | − | 1.44058e11i | 0.948599 | − | 0.0594731i | ||||
\(566\) | 1.38149e12i | 0.565815i | ||||||||
\(567\) | −1.08833e12 | + | 1.57261e12i | −0.442217 | + | 0.638996i | ||||
\(568\) | −2.97048e11 | − | 2.97048e11i | −0.119746 | − | 0.119746i | ||||
\(569\) | 3.14402e12 | − | 1.81520e12i | 1.25742 | − | 0.725970i | 0.284846 | − | 0.958573i | \(-0.408058\pi\) |
0.972572 | + | 0.232603i | \(0.0747242\pi\) | |||||||
\(570\) | −7.17141e10 | + | 3.55262e11i | −0.0284556 | + | 0.140965i | ||||
\(571\) | −2.90001e11 | + | 5.02296e11i | −0.114166 | + | 0.197741i | −0.917446 | − | 0.397860i | \(-0.869753\pi\) |
0.803280 | + | 0.595601i | \(0.203086\pi\) | |||||||
\(572\) | 6.13468e10 | − | 2.28949e11i | 0.0239613 | − | 0.0894247i | ||||
\(573\) | −7.07042e11 | + | 7.07042e11i | −0.273999 | + | 0.273999i | ||||
\(574\) | 1.16836e11 | − | 3.26578e11i | 0.0449236 | − | 0.125569i | ||||
\(575\) | −1.07417e12 | − | 1.47620e11i | −0.409796 | − | 0.0563171i | ||||
\(576\) | 1.15923e12 | + | 2.00785e12i | 0.438803 | + | 0.760029i | ||||
\(577\) | 9.68412e11 | − | 2.59485e11i | 0.363722 | − | 0.0974589i | −0.0723295 | − | 0.997381i | \(-0.523043\pi\) |
0.436051 | + | 0.899922i | \(0.356377\pi\) | |||||||
\(578\) | 2.66890e11 | − | 7.15131e10i | 0.0994621 | − | 0.0266508i | ||||
\(579\) | 4.54409e11 | + | 7.87060e11i | 0.168033 | + | 0.291041i | ||||
\(580\) | 5.60914e10 | + | 1.66792e11i | 0.0205812 | + | 0.0611999i | ||||
\(581\) | 1.08254e12 | − | 9.18541e11i | 0.394140 | − | 0.334431i | ||||
\(582\) | 8.90626e11 | − | 8.90626e11i | 0.321767 | − | 0.321767i | ||||
\(583\) | −8.53854e10 | + | 3.18663e11i | −0.0306108 | + | 0.114241i | ||||
\(584\) | −6.43861e11 | + | 1.11520e12i | −0.229052 | + | 0.396730i | ||||
\(585\) | −2.32993e12 | − | 3.50848e12i | −0.822510 | − | 1.23856i | ||||
\(586\) | −4.21407e12 | + | 2.43300e12i | −1.47626 | + | 0.852319i | ||||
\(587\) | −2.84556e11 | − | 2.84556e11i | −0.0989228 | − | 0.0989228i | 0.655913 | − | 0.754836i | \(-0.272284\pi\) |
−0.754836 | + | 0.655913i | \(0.772284\pi\) | |||||||
\(588\) | 1.51439e10 | − | 3.34305e10i | 0.00522444 | − | 0.0115331i | ||||
\(589\) | 2.95953e11i | 0.101322i | ||||||||
\(590\) | −1.84393e11 | − | 2.94107e12i | −0.0626483 | − | 0.999244i | ||||
\(591\) | −8.61074e11 | − | 4.97141e11i | −0.290333 | − | 0.167624i | ||||
\(592\) | −8.26024e11 | − | 3.08276e12i | −0.276404 | − | 1.03155i | ||||
\(593\) | 3.65323e12 | + | 9.78880e11i | 1.21320 | + | 0.325075i | 0.808015 | − | 0.589162i | \(-0.200542\pi\) |
0.405181 | + | 0.914237i | \(0.367209\pi\) | |||||||
\(594\) | −2.06755e12 | −0.681423 | ||||||||
\(595\) | 1.49744e12 | − | 2.48257e12i | 0.489806 | − | 0.812036i | ||||
\(596\) | 1.14774e11 | 0.0372593 | ||||||||
\(597\) | 2.26817e11 | + | 6.07753e10i | 0.0730786 | + | 0.0195814i | ||||
\(598\) | −5.51073e11 | − | 2.05663e12i | −0.176220 | − | 0.657660i | ||||
\(599\) | −2.48340e12 | − | 1.43379e12i | −0.788180 | − | 0.455056i | 0.0511416 | − | 0.998691i | \(-0.483714\pi\) |
−0.839321 | + | 0.543636i | \(0.817047\pi\) | |||||||
\(600\) | −7.88333e11 | − | 3.31789e11i | −0.248330 | − | 0.104516i | ||||
\(601\) | 1.52213e12i | 0.475901i | 0.971277 | + | 0.237950i | \(0.0764756\pi\) | ||||
−0.971277 | + | 0.237950i | \(0.923524\pi\) | |||||||
\(602\) | −8.40818e11 | − | 1.77757e12i | −0.260926 | − | 0.551624i | ||||
\(603\) | 2.92056e12 | + | 2.92056e12i | 0.899578 | + | 0.899578i | ||||
\(604\) | 1.77610e11 | − | 1.02543e11i | 0.0543002 | − | 0.0313502i | ||||
\(605\) | 1.85262e12 | + | 3.73973e11i | 0.562194 | + | 0.113486i | ||||
\(606\) | 5.05956e10 | − | 8.76341e10i | 0.0152400 | − | 0.0263965i | ||||
\(607\) | 1.40560e12 | − | 5.24579e12i | 0.420256 | − | 1.56842i | −0.353813 | − | 0.935316i | \(-0.615115\pi\) |
0.774069 | − | 0.633101i | \(-0.218218\pi\) | |||||||
\(608\) | 1.11195e11 | − | 1.11195e11i | 0.0330004 | − | 0.0330004i | ||||
\(609\) | 1.29845e12 | − | 2.36316e11i | 0.382515 | − | 0.0696171i | ||||
\(610\) | 1.82884e12 | − | 3.68216e12i | 0.534800 | − | 1.07676i | ||||
\(611\) | −3.63254e12 | − | 6.29175e12i | −1.05445 | − | 1.82636i | ||||
\(612\) | 1.34655e11 | − | 3.60807e10i | 0.0388009 | − | 0.0103967i | ||||
\(613\) | −1.03829e12 | + | 2.78209e11i | −0.296993 | + | 0.0795791i | −0.404239 | − | 0.914653i | \(-0.632464\pi\) |
0.107246 | + | 0.994233i | \(0.465797\pi\) | |||||||
\(614\) | 1.97967e12 | + | 3.42889e12i | 0.562127 | + | 0.973633i | ||||
\(615\) | 5.68231e10 | − | 1.14407e11i | 0.0160172 | − | 0.0322488i | ||||
\(616\) | 4.30354e12 | − | 7.83235e11i | 1.20424 | − | 0.219169i | ||||
\(617\) | 2.24369e12 | − | 2.24369e12i | 0.623275 | − | 0.623275i | −0.323092 | − | 0.946367i | \(-0.604722\pi\) |
0.946367 | + | 0.323092i | \(0.104722\pi\) | |||||||
\(618\) | −2.99120e11 | + | 1.11633e12i | −0.0824892 | + | 0.307854i | ||||
\(619\) | 1.53089e12 | − | 2.65157e12i | 0.419117 | − | 0.725931i | −0.576734 | − | 0.816932i | \(-0.695673\pi\) |
0.995851 | + | 0.0910006i | \(0.0290065\pi\) | |||||||
\(620\) | 3.29018e10 | + | 6.64162e9i | 0.00894245 | + | 0.00180514i | ||||
\(621\) | −7.05206e11 | + | 4.07151e11i | −0.190285 | + | 0.109861i | ||||
\(622\) | −6.59823e11 | − | 6.59823e11i | −0.176755 | − | 0.176755i | ||||
\(623\) | 1.52081e12 | + | 3.21514e12i | 0.404462 | + | 0.855074i | ||||
\(624\) | − | 1.75676e12i | − | 0.463854i | ||||||
\(625\) | −3.69568e12 | + | 9.45453e11i | −0.968800 | + | 0.247845i | ||||
\(626\) | −1.08377e12 | − | 6.25717e11i | −0.282068 | − | 0.162852i | ||||
\(627\) | −1.76680e11 | − | 6.59380e11i | −0.0456545 | − | 0.170385i | ||||
\(628\) | 1.92622e11 | + | 5.16128e10i | 0.0494181 | + | 0.0132416i | ||||
\(629\) | 3.80920e12 | 0.970301 | ||||||||
\(630\) | −1.92928e12 | + | 3.19851e12i | −0.487937 | + | 0.808937i | ||||
\(631\) | 1.59709e12 | 0.401048 | 0.200524 | − | 0.979689i | \(-0.435735\pi\) | ||||
0.200524 | + | 0.979689i | \(0.435735\pi\) | |||||||
\(632\) | 6.15436e12 | + | 1.64906e12i | 1.53446 | + | 0.411158i | ||||
\(633\) | 8.90648e10 | + | 3.32394e11i | 0.0220490 | + | 0.0822881i | ||||
\(634\) | −1.60794e12 | − | 9.28347e11i | −0.395247 | − | 0.228196i | ||||
\(635\) | −2.21341e11 | − | 3.53041e12i | −0.0540233 | − | 0.861674i | ||||
\(636\) | − | 4.92576e9i | − | 0.00119376i | ||||||
\(637\) | −5.43629e12 | + | 3.89626e12i | −1.30820 | + | 0.937607i | ||||
\(638\) | −5.34546e12 | − | 5.34546e12i | −1.27730 | − | 1.27730i | ||||
\(639\) | −5.85151e11 | + | 3.37837e11i | −0.138840 | + | 0.0801592i | ||||
\(640\) | 2.49643e12 | + | 3.75921e12i | 0.588180 | + | 0.885700i | ||||
\(641\) | 2.46658e11 | − | 4.27224e11i | 0.0577077 | − | 0.0999527i | −0.835728 | − | 0.549143i | \(-0.814954\pi\) |
0.893436 | + | 0.449190i | \(0.148288\pi\) | |||||||
\(642\) | −4.24195e11 | + | 1.58312e12i | −0.0985504 | + | 0.367795i | ||||
\(643\) | −9.60573e11 | + | 9.60573e11i | −0.221606 | + | 0.221606i | −0.809174 | − | 0.587569i | \(-0.800085\pi\) |
0.587569 | + | 0.809174i | \(0.300085\pi\) | |||||||
\(644\) | −6.31307e10 | + | 5.35668e10i | −0.0144629 | + | 0.0122718i | ||||
\(645\) | −2.30843e11 | − | 6.86432e11i | −0.0525168 | − | 0.156163i | ||||
\(646\) | 1.09311e12 | + | 1.89333e12i | 0.246955 | + | 0.427739i | ||||
\(647\) | −2.37037e12 | + | 6.35139e11i | −0.531798 | + | 0.142495i | −0.514719 | − | 0.857359i | \(-0.672104\pi\) |
−0.0170798 | + | 0.999854i | \(0.505437\pi\) | |||||||
\(648\) | 3.28741e12 | − | 8.80859e11i | 0.732431 | − | 0.196254i | ||||
\(649\) | 2.77522e12 | + | 4.80682e12i | 0.614039 | + | 1.06355i | ||||
\(650\) | −4.52643e12 | − | 5.96875e12i | −0.994593 | − | 1.31152i | ||||
\(651\) | 8.47990e10 | − | 2.37028e11i | 0.0185045 | − | 0.0517231i | ||||
\(652\) | −6.55900e10 | + | 6.55900e10i | −0.0142142 | + | 0.0142142i | ||||
\(653\) | 7.20578e11 | − | 2.68924e12i | 0.155086 | − | 0.578788i | −0.844012 | − | 0.536324i | \(-0.819813\pi\) |
0.999098 | − | 0.0424640i | \(-0.0135208\pi\) | |||||||
\(654\) | −5.02663e11 | + | 8.70638e11i | −0.107443 | + | 0.186096i | ||||
\(655\) | −6.18541e11 | + | 3.06417e12i | −0.131305 | + | 0.650470i | ||||
\(656\) | −5.59108e11 | + | 3.22801e11i | −0.117877 | + | 0.0680562i | ||||
\(657\) | 1.46454e12 | + | 1.46454e12i | 0.306661 | + | 0.306661i | ||||
\(658\) | −3.66673e12 | + | 5.29836e12i | −0.762539 | + | 1.10186i | ||||
\(659\) | − | 8.40596e12i | − | 1.73621i | −0.496378 | − | 0.868106i | \(-0.665337\pi\) | ||
0.496378 | − | 0.868106i | \(-0.334663\pi\) | |||||||
\(660\) | −7.72697e10 | + | 4.84448e9i | −0.0158512 | + | 0.000993801i | ||||
\(661\) | −2.66008e12 | − | 1.53580e12i | −0.541985 | − | 0.312915i | 0.203898 | − | 0.978992i | \(-0.434639\pi\) |
−0.745883 | + | 0.666077i | \(0.767972\pi\) | |||||||
\(662\) | 2.00267e12 | + | 7.47407e12i | 0.405274 | + | 1.51250i | ||||
\(663\) | 2.02532e12 | + | 5.42683e11i | 0.407083 | + | 0.109078i | ||||
\(664\) | −2.52649e12 | −0.504383 | ||||||||
\(665\) | −2.46765e12 | − | 7.12142e11i | −0.489313 | − | 0.141211i | ||||
\(666\) | −4.90772e12 | −0.966598 | ||||||||
\(667\) | −2.87590e12 | − | 7.70594e11i | −0.562609 | − | 0.150751i | ||||
\(668\) | 8.81071e10 | + | 3.28820e11i | 0.0171205 | + | 0.0638947i | ||||
\(669\) | 1.71877e12 | + | 9.92335e11i | 0.331743 | + | 0.191532i | ||||
\(670\) | 5.50946e12 | + | 4.85938e12i | 1.05626 | + | 0.931631i | ||||
\(671\) | 7.74374e12i | 1.47468i | ||||||||
\(672\) | −1.20916e11 | + | 5.71951e10i | −0.0228730 | + | 0.0108193i | ||||
\(673\) | 1.91522e12 | + | 1.91522e12i | 0.359874 | + | 0.359874i | 0.863766 | − | 0.503893i | \(-0.168099\pi\) |
−0.503893 | + | 0.863766i | \(0.668099\pi\) | |||||||
\(674\) | −4.28323e12 | + | 2.47292e12i | −0.799469 | + | 0.461573i | ||||
\(675\) | −1.75691e12 | + | 2.26295e12i | −0.325748 | + | 0.419574i | ||||
\(676\) | 1.97992e11 | − | 3.42933e11i | 0.0364660 | − | 0.0631610i | ||||
\(677\) | −2.27579e11 | + | 8.49337e11i | −0.0416374 | + | 0.155393i | −0.983615 | − | 0.180284i | \(-0.942298\pi\) |
0.941977 | + | 0.335677i | \(0.108965\pi\) | |||||||
\(678\) | 1.04419e12 | − | 1.04419e12i | 0.189778 | − | 0.189778i | ||||
\(679\) | 5.77483e12 | + | 6.80587e12i | 1.04262 | + | 1.22877i | ||||
\(680\) | −4.89023e12 | + | 1.64456e12i | −0.877080 | + | 0.294957i | ||||
\(681\) | 2.91852e10 | + | 5.05502e10i | 0.00519996 | + | 0.00900660i | ||||
\(682\) | −1.39281e12 | + | 3.73203e11i | −0.246526 | + | 0.0660565i | ||||
\(683\) | −2.34263e12 | + | 6.27705e11i | −0.411917 | + | 0.110373i | −0.458826 | − | 0.888526i | \(-0.651730\pi\) |
0.0469085 | + | 0.998899i | \(0.485063\pi\) | |||||||
\(684\) | −6.17480e10 | − | 1.06951e11i | −0.0107862 | − | 0.0186823i | ||||
\(685\) | 8.42871e12 | + | 4.18634e12i | 1.46269 | + | 0.726486i | ||||
\(686\) | 5.18537e12 | + | 2.88087e12i | 0.893967 | + | 0.496667i | ||||
\(687\) | 1.45693e12 | − | 1.45693e12i | 0.249536 | − | 0.249536i | ||||
\(688\) | −9.47314e11 | + | 3.53543e12i | −0.161193 | + | 0.601581i | ||||
\(689\) | −4.48838e11 | + | 7.77410e11i | −0.0758757 | + | 0.131421i | ||||
\(690\) | −5.79356e11 | + | 3.84741e11i | −0.0973026 | + | 0.0646171i | ||||
\(691\) | −1.15072e12 | + | 6.64371e11i | −0.192008 | + | 0.110856i | −0.592922 | − | 0.805260i | \(-0.702026\pi\) |
0.400914 | + | 0.916116i | \(0.368693\pi\) | |||||||
\(692\) | −6.81275e10 | − | 6.81275e10i | −0.0112939 | − | 0.0112939i | ||||
\(693\) | 5.74666e11 | − | 7.01202e12i | 0.0946490 | − | 1.15490i | ||||
\(694\) | 6.32609e12i | 1.03518i | ||||||||
\(695\) | 6.22923e12 | − | 7.06257e12i | 1.01275 | − | 1.14824i | ||||
\(696\) | −2.03398e12 | − | 1.17432e12i | −0.328553 | − | 0.189690i | ||||
\(697\) | −1.99434e11 | − | 7.44298e11i | −0.0320075 | − | 0.119454i | ||||
\(698\) | −6.46578e12 | − | 1.73250e12i | −1.03103 | − | 0.276264i | ||||
\(699\) | −5.90186e11 | −0.0935065 | ||||||||
\(700\) | −1.34548e11 | + | 2.58353e11i | −0.0211805 | + | 0.0406698i | ||||
\(701\) | 7.31544e12 | 1.14422 | 0.572109 | − | 0.820177i | \(-0.306125\pi\) | ||||
0.572109 | + | 0.820177i | \(0.306125\pi\) | |||||||
\(702\) | −5.43415e12 | − | 1.45608e12i | −0.844529 | − | 0.226291i | ||||
\(703\) | −8.73382e11 | − | 3.25951e12i | −0.134867 | − | 0.503330i | ||||
\(704\) | −6.72645e12 | − | 3.88352e12i | −1.03207 | − | 0.595866i | ||||
\(705\) | −1.56971e12 | + | 1.77971e12i | −0.239314 | + | 0.271330i | ||||
\(706\) | 4.39888e12i | 0.666379i | ||||||||
\(707\) | 5.89659e11 | + | 4.08074e11i | 0.0887592 | + | 0.0614258i | ||||
\(708\) | −5.86000e10 | − | 5.86000e10i | −0.00876492 | − | 0.00876492i | ||||
\(709\) | −7.01192e12 | + | 4.04833e12i | −1.04215 | + | 0.601684i | −0.920441 | − | 0.390883i | \(-0.872170\pi\) |
−0.121706 | + | 0.992566i | \(0.538837\pi\) | |||||||
\(710\) | −1.00113e12 | + | 6.64833e11i | −0.147852 | + | 0.0981861i | ||||
\(711\) | 5.12394e12 | − | 8.87493e12i | 0.751954 | − | 1.30242i | ||||
\(712\) | 1.63816e12 | − | 6.11368e12i | 0.238888 | − | 0.891544i | ||||
\(713\) | −4.01572e11 | + | 4.01572e11i | −0.0581917 | + | 0.0581917i | ||||
\(714\) | −3.32978e11 | − | 1.82957e12i | −0.0479483 | − | 0.263455i | ||||
\(715\) | 1.26366e13 | + | 6.27627e12i | 1.80822 | + | 0.898100i | ||||
\(716\) | −7.02165e10 | − | 1.21619e11i | −0.00998460 | − | 0.0172938i | ||||
\(717\) | 2.89280e11 | − | 7.75124e10i | 0.0408773 | − | 0.0109530i | ||||
\(718\) | 8.02994e12 | − | 2.15162e12i | 1.12759 | − | 0.302138i | ||||
\(719\) | −3.08140e12 | − | 5.33714e12i | −0.429999 | − | 0.744781i | 0.566873 | − | 0.823805i | \(-0.308153\pi\) |
−0.996873 | + | 0.0790243i | \(0.974820\pi\) | |||||||
\(720\) | 6.59002e12 | − | 2.21619e12i | 0.913883 | − | 0.307334i | ||||
\(721\) | −7.71133e12 | − | 2.75880e12i | −1.06272 | − | 0.380200i | ||||
\(722\) | −3.91058e12 | + | 3.91058e12i | −0.535579 | + | 0.535579i | ||||
\(723\) | 7.28711e11 | − | 2.71959e12i | 0.0991820 | − | 0.370152i | ||||
\(724\) | −1.29581e11 | + | 2.24441e11i | −0.0175274 | + | 0.0303584i | ||||
\(725\) | −1.03930e13 | + | 1.30833e12i | −1.39707 | + | 0.175872i | ||||
\(726\) | 1.04986e12 | − | 6.06138e11i | 0.140255 | − | 0.0809761i | ||||
\(727\) | −3.27755e12 | − | 3.27755e12i | −0.435155 | − | 0.435155i | 0.455223 | − | 0.890378i | \(-0.349560\pi\) |
−0.890378 | + | 0.455223i | \(0.849560\pi\) | |||||||
\(728\) | 1.18626e13 | + | 9.72193e11i | 1.56527 | + | 0.128281i | ||||
\(729\) | − | 4.35558e12i | − | 0.571179i | ||||||
\(730\) | 2.76277e12 | + | 2.43678e12i | 0.360074 | + | 0.317588i | ||||
\(731\) | −3.78326e12 | − | 2.18427e12i | −0.490048 | − | 0.282929i | ||||
\(732\) | −2.99249e10 | − | 1.11681e11i | −0.00385241 | − | 0.0143774i | ||||
\(733\) | −1.06542e13 | − | 2.85478e12i | −1.36318 | − | 0.365262i | −0.498194 | − | 0.867066i | \(-0.666003\pi\) |
−0.864981 | + | 0.501804i | \(0.832670\pi\) | |||||||
\(734\) | 8.47092e12 | 1.07720 | ||||||||
\(735\) | 1.77229e12 | + | 1.27741e12i | 0.223996 | + | 0.161449i | ||||
\(736\) | 3.01756e11 | 0.0379058 | ||||||||
\(737\) | −1.33653e13 | − | 3.58123e12i | −1.66869 | − | 0.447125i | ||||
\(738\) | 2.56948e11 | + | 9.58942e11i | 0.0318854 | + | 0.118998i | ||||
\(739\) | 4.69583e11 | + | 2.71114e11i | 0.0579178 | + | 0.0334389i | 0.528679 | − | 0.848822i | \(-0.322687\pi\) |
−0.470761 | + | 0.882261i | \(0.656021\pi\) | |||||||
\(740\) | −3.81967e11 | + | 2.39477e10i | −0.0468255 | + | 0.00293576i | ||||
\(741\) | − | 1.85748e12i | − | 0.226330i | ||||||
\(742\) | 7.93488e11 | + | 6.50299e10i | 0.0960999 | + | 0.00787581i | ||||
\(743\) | −3.53551e12 | − | 3.53551e12i | −0.425601 | − | 0.425601i | 0.461526 | − | 0.887127i | \(-0.347302\pi\) |
−0.887127 | + | 0.461526i | \(0.847302\pi\) | |||||||
\(744\) | −3.87969e11 | + | 2.23994e11i | −0.0464214 | + | 0.0268014i | ||||
\(745\) | −1.35188e12 | + | 6.69702e12i | −0.160781 | + | 0.796487i | ||||
\(746\) | 6.94686e12 | − | 1.20323e13i | 0.821228 | − | 1.42241i | ||||
\(747\) | −1.05174e12 | + | 3.92515e12i | −0.123585 | + | 0.461225i | ||||
\(748\) | −3.30232e11 | + | 3.30232e11i | −0.0385711 | + | 0.0385711i | ||||
\(749\) | −1.09358e13 | − | 3.91238e12i | −1.26964 | − | 0.454227i | ||||
\(750\) | −1.37664e12 | + | 2.02282e12i | −0.158872 | + | 0.233444i | ||||
\(751\) | 7.57235e12 | + | 1.31157e13i | 0.868662 | + | 1.50457i | 0.863364 | + | 0.504581i | \(0.168353\pi\) |
0.00529815 | + | 0.999986i | \(0.498314\pi\) | |||||||
\(752\) | 1.15847e13 | − | 3.10411e12i | 1.32100 | − | 0.353962i | ||||
\(753\) | 5.42667e10 | − | 1.45407e10i | 0.00615114 | − | 0.00164819i | ||||
\(754\) | −1.02849e13 | − | 1.78140e13i | −1.15886 | − | 2.00720i | ||||
\(755\) | 3.89137e12 | + | 1.15713e13i | 0.435854 | + | 1.29605i | ||||
\(756\) | 3.91710e10 | + | 2.15228e11i | 0.00436131 | + | 0.0239635i | ||||
\(757\) | 8.94189e12 | − | 8.94189e12i | 0.989687 | − | 0.989687i | −0.0102606 | − | 0.999947i | \(-0.503266\pi\) |
0.999947 | + | 0.0102606i | \(0.00326612\pi\) | |||||||
\(758\) | 1.37501e12 | − | 5.13162e12i | 0.151285 | − | 0.564602i | ||||
\(759\) | 6.54965e11 | − | 1.13443e12i | 0.0716358 | − | 0.124077i | ||||
\(760\) | 2.52848e12 | + | 3.80747e12i | 0.274915 | + | 0.413976i | ||||
\(761\) | 1.30630e13 | − | 7.54194e12i | 1.41193 | − | 0.815178i | 0.416359 | − | 0.909200i | \(-0.363306\pi\) |
0.995570 | + | 0.0940228i | \(0.0299727\pi\) | |||||||
\(762\) | −1.60437e12 | − | 1.60437e12i | −0.172388 | − | 0.172388i | ||||
\(763\) | −5.85822e12 | − | 4.05418e12i | −0.625756 | − | 0.433055i | ||||
\(764\) | − | 6.06005e11i | − | 0.0643511i | ||||||
\(765\) | 5.19250e11 | + | 8.28207e12i | 0.0548151 | + | 0.874304i | ||||
\(766\) | 9.43423e12 | + | 5.44686e12i | 0.990095 | + | 0.571632i | ||||
\(767\) | 3.90890e12 | + | 1.45882e13i | 0.407827 | + | 1.52203i | ||||
\(768\) | 3.52993e11 | + | 9.45841e10i | 0.0366134 | + | 0.00981054i | ||||
\(769\) | −1.03458e11 | −0.0106683 | −0.00533415 | − | 0.999986i | \(-0.501698\pi\) | ||||
−0.00533415 | + | 0.999986i | \(0.501698\pi\) | |||||||
\(770\) | 2.39720e11 | − | 1.25113e13i | 0.0245751 | − | 1.28261i | ||||
\(771\) | −2.38399e12 | −0.242974 | ||||||||
\(772\) | −5.32031e11 | − | 1.42557e11i | −0.0539087 | − | 0.0144448i | ||||
\(773\) | −2.26660e12 | − | 8.45906e12i | −0.228332 | − | 0.852147i | −0.981042 | − | 0.193795i | \(-0.937920\pi\) |
0.752710 | − | 0.658352i | \(-0.228746\pi\) | |||||||
\(774\) | 4.87430e12 | + | 2.81418e12i | 0.488178 | + | 0.281850i | ||||
\(775\) | −7.75074e11 | + | 1.84158e12i | −0.0771766 | + | 0.183372i | ||||
\(776\) | − | 1.58839e13i | − | 1.57246i | ||||||
\(777\) | −2.34453e11 | + | 2.86078e12i | −0.0230761 | + | 0.281572i | ||||
\(778\) | 2.66919e11 | + | 2.66919e11i | 0.0261199 | + | 0.0261199i | ||||
\(779\) | −5.91163e11 | + | 3.41308e11i | −0.0575160 | + | 0.0332069i | ||||
\(780\) | −2.06500e11 | − | 4.16846e10i | −0.0199754 | − | 0.00403227i | ||||
\(781\) | 1.13178e12 | − | 1.96030e12i | 0.108851 | − | 0.188535i | ||||
\(782\) | −1.08579e12 | + | 4.05224e12i | −0.103829 | + | 0.387494i | ||||
\(783\) | −5.56274e12 | + | 5.56274e12i | −0.528884 | + | 0.528884i | ||||
\(784\) | −3.89013e12 | − | 1.03333e13i | −0.367741 | − | 0.976824i | ||||
\(785\) | −5.28041e12 | + | 1.06315e13i | −0.496311 | + | 0.999265i | ||||
\(786\) | 1.00253e12 | + | 1.73644e12i | 0.0936909 | + | 0.162277i | ||||
\(787\) | 1.25065e13 | − | 3.35110e12i | 1.16211 | − | 0.311387i | 0.374303 | − | 0.927306i | \(-0.377882\pi\) |
0.787809 | + | 0.615919i | \(0.211215\pi\) | |||||||
\(788\) | 5.82062e11 | − | 1.55963e11i | 0.0537776 | − | 0.0144097i | ||||
\(789\) | −2.93718e12 | − | 5.08734e12i | −0.269826 | − | 0.467352i | ||||
\(790\) | 8.10801e12 | − | 1.63245e13i | 0.740614 | − | 1.49114i | ||||
\(791\) | 6.77055e12 | + | 7.97938e12i | 0.614936 | + | 0.724727i | ||||
\(792\) | −8.85311e12 | + | 8.85311e12i | −0.799526 | + | 0.799526i | ||||
\(793\) | −5.45354e12 | + | 2.03529e13i | −0.489722 | + | 1.82767i | ||||
\(794\) | −7.28791e12 | + | 1.26230e13i | −0.650744 | + | 1.12712i | ||||
\(795\) | 2.87417e11 | + | 5.80186e10i | 0.0255188 | + | 0.00515128i | ||||
\(796\) | −1.23247e11 | + | 7.11568e10i | −0.0108810 | + | 0.00628214i | ||||
\(797\) | −3.83196e12 | − | 3.83196e12i | −0.336402 | − | 0.336402i | 0.518609 | − | 0.855011i | \(-0.326450\pi\) |
−0.855011 | + | 0.518609i | \(0.826450\pi\) | |||||||
\(798\) | −1.48920e12 | + | 7.04414e11i | −0.129999 | + | 0.0614915i | ||||
\(799\) | 1.43146e13i | 1.24256i | ||||||||
\(800\) | 9.83124e11 | − | 4.00705e11i | 0.0848601 | − | 0.0345876i | ||||
\(801\) | −8.81627e12 | − | 5.09007e12i | −0.756726 | − | 0.436896i | ||||
\(802\) | 4.66272e12 | + | 1.74015e13i | 0.397974 | + | 1.48526i | ||||
\(803\) | −6.70218e12 | − | 1.79584e12i | −0.568848 | − | 0.152422i | ||||
\(804\) | 2.06596e11 | 0.0174369 | ||||||||
\(805\) | −2.38202e12 | − | 4.31460e12i | −0.199923 | − | 0.362125i | ||||
\(806\) | −3.92357e12 | −0.327472 | ||||||||
\(807\) | 1.97345e12 | + | 5.28784e11i | 0.163793 | + | 0.0438882i | ||||
\(808\) | −3.30282e11 | − | 1.23263e12i | −0.0272605 | − | 0.101738i | ||||
\(809\) | −4.10941e11 | − | 2.37257e11i | −0.0337296 | − | 0.0194738i | 0.483040 | − | 0.875598i | \(-0.339532\pi\) |
−0.516770 | + | 0.856124i | \(0.672866\pi\) | |||||||
\(810\) | −6.09224e11 | − | 9.71715e12i | −0.0497272 | − | 0.793152i | ||||
\(811\) | 9.13605e12i | 0.741591i | 0.928714 | + | 0.370796i | \(0.120915\pi\) | ||||
−0.928714 | + | 0.370796i | \(0.879085\pi\) | |||||||
\(812\) | −4.55178e11 | + | 6.57725e11i | −0.0367434 | + | 0.0530936i | ||||
\(813\) | 3.21131e12 | + | 3.21131e12i | 0.257795 | + | 0.257795i | ||||
\(814\) | 1.42385e13 | − | 8.22062e12i | 1.13673 | − | 0.656289i | ||||
\(815\) | −3.05460e12 | − | 4.59972e12i | −0.242519 | − | 0.365193i | ||||
\(816\) | −1.73069e12 | + | 2.99765e12i | −0.136652 | + | 0.236687i | ||||
\(817\) | −1.00163e12 | + | 3.73812e12i | −0.0786514 | + | 0.293531i | ||||
\(818\) | −1.05868e13 | + | 1.05868e13i | −0.826752 | + | 0.826752i | ||||
\(819\) | 6.44863e12 | − | 1.80250e13i | 0.500829 | − | 1.39990i | ||||
\(820\) | 2.46774e10 | + | 7.33804e10i | 0.00190606 | + | 0.00566784i | ||||
\(821\) | −7.04092e12 | − | 1.21952e13i | −0.540860 | − | 0.936798i | −0.998855 | − | 0.0478426i | \(-0.984765\pi\) |
0.457995 | − | 0.888955i | \(-0.348568\pi\) | |||||||
\(822\) | 5.83079e12 | − | 1.56235e12i | 0.445455 | − | 0.119359i | ||||
\(823\) | 5.24273e12 | − | 1.40478e12i | 0.398344 | − | 0.106736i | −0.0540852 | − | 0.998536i | \(-0.517224\pi\) |
0.452429 | + | 0.891800i | \(0.350558\pi\) | |||||||
\(824\) | 7.28729e12 | + | 1.26220e13i | 0.550673 | + | 0.953793i | ||||
\(825\) | 6.27456e11 | − | 4.56573e12i | 0.0471564 | − | 0.343137i | ||||
\(826\) | 1.02135e13 | − | 8.66621e12i | 0.763420 | − | 0.647767i | ||||
\(827\) | 5.13734e12 | − | 5.13734e12i | 0.381912 | − | 0.381912i | −0.489878 | − | 0.871791i | \(-0.662959\pi\) |
0.871791 | + | 0.489878i | \(0.162959\pi\) | |||||||
\(828\) | 6.13346e10 | − | 2.28904e11i | 0.00453491 | − | 0.0169245i | ||||
\(829\) | −8.10264e12 | + | 1.40342e13i | −0.595842 | + | 1.03203i | 0.397586 | + | 0.917565i | \(0.369848\pi\) |
−0.993427 | + | 0.114463i | \(0.963485\pi\) | |||||||
\(830\) | −1.43014e12 | + | 7.08475e12i | −0.104599 | + | 0.518171i | ||||
\(831\) | −2.00414e12 | + | 1.15709e12i | −0.145788 | + | 0.0841709i | ||||
\(832\) | −1.49442e13 | − | 1.49442e13i | −1.08123 | − | 1.08123i | ||||
\(833\) | 1.31147e13 | − | 1.29276e12i | 0.943747 | − | 0.0930283i | ||||
\(834\) | − | 6.04038e12i | − | 0.432332i | ||||||
\(835\) | −2.02244e13 | + | 1.26798e12i | −1.43974 | + | 0.0902658i | ||||
\(836\) | 3.58293e11 | + | 2.06860e11i | 0.0253694 | + | 0.0146470i | ||||
\(837\) | 3.88373e11 | + | 1.44943e12i | 0.0273517 | + | 0.102078i | ||||
\(838\) | −1.11279e13 | − | 2.98171e12i | −0.779499 | − | 0.208866i | ||||
\(839\) | 2.39905e12 | 0.167151 | 0.0835757 | − | 0.996501i | \(-0.473366\pi\) | ||||
0.0835757 | + | 0.996501i | \(0.473366\pi\) | |||||||
\(840\) | −9.34102e11 | − | 3.77387e12i | −0.0647347 | − | 0.261535i | ||||
\(841\) | −1.42568e13 | −0.982741 | ||||||||
\(842\) | −7.40109e12 | − | 1.98312e12i | −0.507448 | − | 0.135970i | ||||
\(843\) | 1.50389e12 | + | 5.61260e12i | 0.102563 | + | 0.382772i | ||||
\(844\) | −1.80616e11 | − | 1.04279e11i | −0.0122522 | − | 0.00707383i | ||||
\(845\) | 1.76779e13 | + | 1.55921e13i | 1.19282 | + | 1.05208i | ||||
\(846\) | − | 1.84427e13i | − | 1.23782i | ||||||
\(847\) | 3.67336e12 | + | 7.76586e12i | 0.245238 | + | 0.518459i | ||||
\(848\) | −1.04786e12 | − | 1.04786e12i | −0.0695862 | − | 0.0695862i | ||||
\(849\) | −2.00284e12 | + | 1.15634e12i | −0.132301 | + | 0.0763838i | ||||
\(850\) | 1.84349e12 | + | 1.46441e13i | 0.121131 | + | 0.962225i | ||||
\(851\) | 3.23768e12 | − | 5.60783e12i | 0.211617 | − | 0.366532i | ||||
\(852\) | −8.74730e9 | + | 3.26454e10i | −0.000568717 | + | 0.00212248i | ||||
\(853\) | −1.11316e13 | + | 1.11316e13i | −0.719928 | + | 0.719928i | −0.968590 | − | 0.248663i | \(-0.920009\pi\) |
0.248663 | + | 0.968590i | \(0.420009\pi\) | |||||||
\(854\) | 1.83857e13 | − | 3.34617e12i | 1.18283 | − | 0.215272i | ||||
\(855\) | 6.96784e12 | − | 2.34325e12i | 0.445914 | − | 0.149958i | ||||
\(856\) | 1.03344e13 | + | 1.78998e13i | 0.657892 | + | 1.13950i | ||||
\(857\) | 1.51544e13 | − | 4.06061e12i | 0.959677 | − | 0.257145i | 0.255213 | − | 0.966885i | \(-0.417854\pi\) |
0.704463 | + | 0.709740i | \(0.251188\pi\) | |||||||
\(858\) | 8.74167e12 | − | 2.34232e12i | 0.550683 | − | 0.147555i | ||||
\(859\) | −2.33636e12 | − | 4.04669e12i | −0.146410 | − | 0.253589i | 0.783488 | − | 0.621407i | \(-0.213438\pi\) |
−0.929898 | + | 0.367817i | \(0.880105\pi\) | |||||||
\(860\) | 3.93098e11 | + | 1.95242e11i | 0.0245051 | + | 0.0121711i | ||||
\(861\) | 5.71256e11 | − | 1.03967e11i | 0.0354255 | − | 0.00644738i | ||||
\(862\) | −1.05900e13 | + | 1.05900e13i | −0.653300 | + | 0.653300i | ||||
\(863\) | 4.19071e12 | − | 1.56399e13i | 0.257181 | − | 0.959813i | −0.709683 | − | 0.704521i | \(-0.751162\pi\) |
0.966864 | − | 0.255292i | \(-0.0821716\pi\) | |||||||
\(864\) | 3.98658e11 | − | 6.90496e11i | 0.0243382 | − | 0.0421550i | ||||
\(865\) | 4.77767e12 | − | 3.17277e12i | 0.290164 | − | 0.192693i | ||||
\(866\) | 1.36011e10 | − | 7.85259e9i | 0.000821756 | − | 0.000474441i | ||||
\(867\) | 3.27070e11 | + | 3.27070e11i | 0.0196587 | + | 0.0196587i | ||||
\(868\) | 6.52375e10 | + | 1.37919e11i | 0.00390084 | + | 0.00824678i | ||||
\(869\) | 3.43312e13i | 2.04221i | ||||||||
\(870\) | −4.44438e12 | + | 5.03894e12i | −0.263011 | + | 0.298197i | ||||
\(871\) | −3.26061e13 | − | 1.88252e13i | −1.91963 | − | 1.10830i | ||||
\(872\) | 3.28133e12 | + | 1.22461e13i | 0.192188 | + | 0.717255i | ||||
\(873\) | −2.46772e13 | − | 6.61224e12i | −1.43791 | − | 0.385287i | ||||
\(874\) | 3.71642e12 | 0.215439 | ||||||||
\(875\) | −1.34900e13 | − | 1.08939e13i | −0.777995 | − | 0.628271i | ||||
\(876\) | 1.03600e11 | 0.00594415 | ||||||||
\(877\) | 8.36958e10 | + | 2.24262e10i | 0.00477755 | + | 0.00128014i | 0.261207 | − | 0.965283i | \(-0.415879\pi\) |
−0.256429 | + | 0.966563i | \(0.582546\pi\) | |||||||
\(878\) | 1.62269e12 | + | 6.05598e12i | 0.0921534 | + | 0.343921i | ||||
\(879\) | −7.05454e12 | − | 4.07294e12i | −0.398583 | − | 0.230122i | ||||
\(880\) | −1.54071e13 | + | 1.74683e13i | −0.866062 | + | 0.981923i | ||||
\(881\) | 2.39476e13i | 1.33928i | 0.742687 | + | 0.669639i | \(0.233551\pi\) | ||||
−0.742687 | + | 0.669639i | \(0.766449\pi\) | |||||||
\(882\) | −1.68968e13 | + | 1.66557e12i | −0.940145 | + | 0.0926733i | ||||
\(883\) | 1.42084e13 | + | 1.42084e13i | 0.786545 | + | 0.786545i | 0.980926 | − | 0.194381i | \(-0.0622699\pi\) |
−0.194381 | + | 0.980926i | \(0.562270\pi\) | |||||||
\(884\) | −1.10052e12 | + | 6.35383e11i | −0.0606124 | + | 0.0349946i | ||||
\(885\) | 4.10952e12 | − | 2.72907e12i | 0.225189 | − | 0.149544i | ||||
\(886\) | 7.60769e12 | − | 1.31769e13i | 0.414764 | − | 0.718392i | ||||
\(887\) | 5.31167e12 | − | 1.98234e13i | 0.288121 | − | 1.07528i | −0.658408 | − | 0.752661i | \(-0.728770\pi\) |
0.946529 | − | 0.322620i | \(-0.104564\pi\) | |||||||
\(888\) | 3.61191e12 | − | 3.61191e12i | 0.194930 | − | 0.194930i | ||||
\(889\) | 1.22601e13 | − | 1.04028e13i | 0.658317 | − | 0.558586i | ||||
\(890\) | −1.62166e13 | − | 8.05441e12i | −0.866374 | − | 0.430308i | ||||
\(891\) | 9.16917e12 | + | 1.58815e13i | 0.487394 | + | 0.844192i | ||||
\(892\) | −1.16184e12 | + | 3.11315e11i | −0.0614477 | + | 0.0164649i | ||||
\(893\) | 1.22489e13 | − | 3.28208e12i | 0.644562 | − | 0.172710i | ||||
\(894\) | 2.19113e12 | + | 3.79515e12i | 0.114723 | + | 0.198705i | ||||
\(895\) | 7.92346e12 | − | 2.66462e12i | 0.412773 | − | 0.138813i | ||||
\(896\) | −6.90947e12 | + | 1.93131e13i | −0.358145 | + | 1.00108i | ||||
\(897\) | 2.52038e12 | − | 2.52038e12i | 0.129987 | − | 0.129987i | ||||
\(898\) | −6.34320e12 | + | 2.36732e13i | −0.325511 | + | 1.21482i | ||||
\(899\) | −2.74326e12 | + | 4.75147e12i | −0.140071 | + | 0.242610i | ||||
\(900\) | −1.04135e11 | − | 8.27217e11i | −0.00529062 | − | 0.0420270i | ||||
\(901\) | 1.53175e12 | − | 8.84357e11i | 0.0774331 | − | 0.0447060i | ||||
\(902\) | −2.35174e12 | − | 2.35174e12i | −0.118293 | − | 0.118293i | ||||
\(903\) | 1.87328e12 | − | 2.70686e12i | 0.0937579 | − | 0.135478i | ||||
\(904\) | − | 1.86227e13i | − | 0.927437i | ||||||
\(905\) | −1.15698e13 | − | 1.02046e13i | −0.573333 | − | 0.505683i | ||||
\(906\) | 6.78145e12 | + | 3.91527e12i | 0.334384 | + | 0.193057i | ||||
\(907\) | 6.84027e12 | + | 2.55282e13i | 0.335614 | + | 1.25253i | 0.903202 | + | 0.429217i | \(0.141210\pi\) |
−0.567587 | + | 0.823313i | \(0.692123\pi\) | |||||||
\(908\) | −3.41705e10 | − | 9.15597e9i | −0.00166827 | − | 0.000447011i | ||||
\(909\) | −2.05251e12 | −0.0997119 | ||||||||
\(910\) | 9.44117e12 | − | 3.27147e13i | 0.456393 | − | 1.58145i | ||||
\(911\) | 2.21543e13 | 1.06568 | 0.532839 | − | 0.846217i | \(-0.321125\pi\) | ||||
0.532839 | + | 0.846217i | \(0.321125\pi\) | |||||||
\(912\) | 2.96188e12 | + | 7.93634e11i | 0.141772 | + | 0.0379877i | ||||
\(913\) | −3.52341e12 | − | 1.31495e13i | −0.167820 | − | 0.626314i | ||||
\(914\) | 3.21129e12 | + | 1.85404e12i | 0.152202 | + | 0.0878741i | ||||
\(915\) | 6.86904e12 | − | 4.30660e11i | 0.323967 | − | 0.0203114i | ||||
\(916\) | 1.24873e12i | 0.0586057i | ||||||||
\(917\) | −1.28445e13 | + | 6.07563e12i | −0.599867 | + | 0.283746i | ||||
\(918\) | 7.83810e12 | + | 7.83810e12i | 0.364266 | + | 0.364266i | ||||
\(919\) | 2.59112e13 | − | 1.49598e13i | 1.19830 | − | 0.691842i | 0.238128 | − | 0.971234i | \(-0.423466\pi\) |
0.960177 | + | 0.279392i | \(0.0901330\pi\) | |||||||
\(920\) | −1.73543e12 | + | 8.59711e12i | −0.0798661 | + | 0.395647i | ||||
\(921\) | −3.31405e12 | + | 5.74011e12i | −0.151772 | + | 0.262877i | ||||
\(922\) | 1.08515e13 | − | 4.04985e13i | 0.494540 | − | 1.84565i | ||||
\(923\) | 4.35521e12 | − | 4.35521e12i | 0.197516 | − | 0.197516i | ||||
\(924\) | −2.27684e11 | − | 2.68335e11i | −0.0102756 | − | 0.0121103i | ||||
\(925\) | 3.10170e12 | − | 2.25697e13i | 0.139303 | − | 1.01365i | ||||
\(926\) | 1.17121e13 | + | 2.02860e13i | 0.523463 | + | 0.906664i | ||||
\(927\) | 2.26431e13 | − | 6.06719e12i | 1.00711 | − | 0.269854i | ||||
\(928\) | 2.81591e12 | − | 7.54520e11i | 0.124639 | − | 0.0333968i | ||||
\(929\) | −2.69415e12 | − | 4.66641e12i | −0.118673 | − | 0.205547i | 0.800569 | − | 0.599240i | \(-0.204531\pi\) |
−0.919242 | + | 0.393693i | \(0.871197\pi\) | |||||||
\(930\) | 4.08508e11 | + | 1.21473e12i | 0.0179072 | + | 0.0532485i | ||||
\(931\) | −4.11316e12 | − | 1.09257e13i | −0.179433 | − | 0.476625i | ||||
\(932\) | 2.52924e11 | − | 2.52924e11i | 0.0109804 | − | 0.0109804i | ||||
\(933\) | 4.04302e11 | − | 1.50888e12i | 0.0174678 | − | 0.0651908i | ||||
\(934\) | −1.64233e12 | + | 2.84459e12i | −0.0706153 | + | 0.122309i | ||||
\(935\) | −1.53793e13 | − | 2.31586e13i | −0.658087 | − | 0.990969i | ||||
\(936\) | −2.95035e13 | + | 1.70338e13i | −1.25641 | + | 0.725390i | ||||
\(937\) | 4.64335e12 | + | 4.64335e12i | 0.196790 | + | 0.196790i | 0.798622 | − | 0.601832i | \(-0.205562\pi\) |
−0.601832 | + | 0.798622i | \(0.705562\pi\) | |||||||
\(938\) | −2.72748e12 | + | 3.32805e13i | −0.115040 | + | 1.40371i | ||||
\(939\) | − | 2.09495e12i | − | 0.0879386i | ||||||
\(940\) | −8.99929e10 | − | 1.43539e12i | −0.00375952 | − | 0.0599646i | ||||
\(941\) | −2.44520e13 | − | 1.41174e13i | −1.01663 | − | 0.586949i | −0.103501 | − | 0.994629i | \(-0.533005\pi\) |
−0.913125 | + | 0.407680i | \(0.866338\pi\) | |||||||
\(942\) | 1.97066e12 | + | 7.35461e12i | 0.0815423 | + | 0.304320i | ||||
\(943\) | −1.26525e12 | − | 3.39023e11i | −0.0521044 | − | 0.0139613i | ||||
\(944\) | −2.49321e13 | −1.02184 | ||||||||
\(945\) | −1.30199e13 | − | 2.49464e11i | −0.531084 | − | 0.0101757i | ||||
\(946\) | −1.88554e13 | −0.765467 | ||||||||
\(947\) | −7.27166e12 | − | 1.94844e12i | −0.293805 | − | 0.0787247i | 0.108906 | − | 0.994052i | \(-0.465265\pi\) |
−0.402711 | + | 0.915327i | \(0.631932\pi\) | |||||||
\(948\) | −1.32669e11 | − | 4.95129e11i | −0.00533499 | − | 0.0199105i | ||||
\(949\) | −1.63506e13 | − | 9.44005e12i | −0.654390 | − | 0.377813i | ||||
\(950\) | 1.21081e13 | − | 4.93508e12i | 0.482304 | − | 0.196579i | ||||
\(951\) | − | 3.10819e12i | − | 0.123224i | ||||||
\(952\) | −1.92840e13 | − | 1.33455e13i | −0.760906 | − | 0.526585i | ||||
\(953\) | −2.08350e13 | − | 2.08350e13i | −0.818231 | − | 0.818231i | 0.167621 | − | 0.985852i | \(-0.446392\pi\) |
−0.985852 | + | 0.167621i | \(0.946392\pi\) | |||||||
\(954\) | −1.97348e12 | + | 1.13939e12i | −0.0771376 | + | 0.0445354i | ||||
\(955\) | 3.53602e13 | + | 7.13789e12i | 1.37562 | + | 0.277687i | ||||
\(956\) | −9.07529e10 | + | 1.57189e11i | −0.00351399 | + | 0.00608640i | ||||
\(957\) | 3.27539e12 | − | 1.22239e13i | 0.126229 | − | 0.471093i | ||||
\(958\) | 1.40535e13 | − | 1.40535e13i | 0.539064 | − | 0.539064i | ||||
\(959\) | 7.65962e12 | + | 4.20862e13i | 0.292431 | + | 1.60678i | ||||
\(960\) | −3.07077e12 | + | 6.18264e12i | −0.116688 | + | 0.234938i | ||||
\(961\) | −1.26966e13 | − | 2.19911e13i | −0.480209 | − | 0.831747i | ||||
\(962\) | 4.32126e13 | − | 1.15788e13i | 1.62676 | − | 0.435888i | ||||
\(963\) | 3.21111e13 | − | 8.60415e12i | 1.20320 | − | 0.322396i | ||||
\(964\) | 8.53188e11 | + | 1.47776e12i | 0.0318198 | + | 0.0551136i | ||||
\(965\) | 1.45848e13 | − | 2.93647e13i | 0.541410 | − | 1.09007i | ||||
\(966\) | −2.97647e12 | − | 1.06486e12i | −0.109978 | − | 0.0393456i | ||||
\(967\) | 2.26860e13 | − | 2.26860e13i | 0.834330 | − | 0.834330i | −0.153775 | − | 0.988106i | \(-0.549143\pi\) |
0.988106 | + | 0.153775i | \(0.0491432\pi\) | |||||||
\(968\) | 3.95681e12 | − | 1.47670e13i | 0.144846 | − | 0.540572i | ||||
\(969\) | −1.82992e12 | + | 3.16951e12i | −0.0666768 | + | 0.115488i | ||||
\(970\) | −4.45415e13 | − | 8.99125e12i | −1.61544 | − | 0.326097i | ||||
\(971\) | 1.92722e13 | − | 1.11268e13i | 0.695735 | − | 0.401683i | −0.110022 | − | 0.993929i | \(-0.535092\pi\) |
0.805757 | + | 0.592247i | \(0.201759\pi\) | |||||||
\(972\) | −6.72914e11 | − | 6.72914e11i | −0.0241803 | − | 0.0241803i | ||||
\(973\) | 4.26622e13 | + | 3.49636e12i | 1.52593 | + | 0.125057i | ||||
\(974\) | 2.43079e13i | 0.865432i | ||||||||
\(975\) | 4.86457e12 | − | 1.15582e13i | 0.172395 | − | 0.409610i | ||||
\(976\) | −3.01240e13 | − | 1.73921e13i | −1.06265 | − | 0.613520i | ||||
\(977\) | −7.25525e12 | − | 2.70769e13i | −0.254757 | − | 0.950767i | −0.968225 | − | 0.250079i | \(-0.919543\pi\) |
0.713468 | − | 0.700688i | \(-0.247123\pi\) | |||||||
\(978\) | −3.42099e12 | − | 9.16651e11i | −0.119571 | − | 0.0320390i | ||||
\(979\) | 3.41043e13 | 1.18655 | ||||||||
\(980\) | −1.30694e12 | + | 2.12080e11i | −0.0452626 | + | 0.00734485i | ||||
\(981\) | 2.03915e13 | 0.702973 | ||||||||
\(982\) | −2.27788e13 | − | 6.10357e12i | −0.781681 | − | 0.209451i | ||||
\(983\) | −2.28867e12 | − | 8.54142e12i | −0.0781793 | − | 0.291769i | 0.915756 | − | 0.401735i | \(-0.131593\pi\) |
−0.993935 | + | 0.109966i | \(0.964926\pi\) | |||||||
\(984\) | −8.94852e11 | − | 5.16643e11i | −0.0304280 | − | 0.0175676i | ||||
\(985\) | 2.24452e12 | + | 3.58002e13i | 0.0759732 | + | 1.21178i | ||||
\(986\) | 4.05294e13i | 1.36560i | ||||||||
\(987\) | −1.07505e13 | − | 8.81051e11i | −0.360580 | − | 0.0295511i | ||||
\(988\) | 7.96021e11 | + | 7.96021e11i | 0.0265778 | + | 0.0265778i | ||||
\(989\) | −6.43127e12 | + | 3.71310e12i | −0.213754 | + | 0.123411i | ||||
\(990\) | 1.98144e13 | + | 2.98372e13i | 0.655576 | + | 0.987187i | ||||
\(991\) | −3.83070e12 | + | 6.63496e12i | −0.126167 | + | 0.218528i | −0.922189 | − | 0.386741i | \(-0.873601\pi\) |
0.796021 | + | 0.605268i | \(0.206934\pi\) | |||||||
\(992\) | 1.43920e11 | − | 5.37116e11i | 0.00471865 | − | 0.0176103i | ||||
\(993\) | −9.15936e12 | + | 9.15936e12i | −0.298947 | + | 0.298947i | ||||
\(994\) | −5.14335e12 | − | 1.84008e12i | −0.167112 | − | 0.0597859i | ||||
\(995\) | −2.70030e12 | − | 8.02957e12i | −0.0873390 | − | 0.259710i | ||||
\(996\) | 1.01630e11 | + | 1.76029e11i | 0.00327232 | + | 0.00566782i | ||||
\(997\) | −4.40756e13 | + | 1.18100e13i | −1.41277 | + | 0.378550i | −0.882912 | − | 0.469539i | \(-0.844420\pi\) |
−0.529855 | + | 0.848088i | \(0.677754\pi\) | |||||||
\(998\) | −3.31130e13 | + | 8.87259e12i | −1.05660 | + | 0.283115i | ||||
\(999\) | −8.55478e12 | − | 1.48173e13i | −0.271747 | − | 0.470679i |
(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 | 35.10.k.a.3.10 | ✓ | 136 | |
5.2 | odd | 4 | inner | 35.10.k.a.17.25 | yes | 136 | |
7.5 | odd | 6 | inner | 35.10.k.a.33.25 | yes | 136 | |
35.12 | even | 12 | inner | 35.10.k.a.12.10 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
35.10.k.a.3.10 | ✓ | 136 | 1.1 | even | 1 | trivial | |
35.10.k.a.12.10 | yes | 136 | 35.12 | even | 12 | inner | |
35.10.k.a.17.25 | yes | 136 | 5.2 | odd | 4 | inner | |
35.10.k.a.33.25 | yes | 136 | 7.5 | odd | 6 | inner |