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 | 3.16 | ||
Character | \(\chi\) | \(=\) | 35.3 |
Dual form | 35.10.k.a.12.16 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.05635 | − | 1.62279i | −0.267655 | − | 0.0717180i | 0.122495 | − | 0.992469i | \(-0.460910\pi\) |
−0.390151 | + | 0.920751i | \(0.627577\pi\) | |||||||
\(3\) | 21.6603 | + | 80.8372i | 0.154390 | + | 0.576190i | 0.999157 | + | 0.0410560i | \(0.0130722\pi\) |
−0.844767 | + | 0.535134i | \(0.820261\pi\) | |||||||
\(4\) | −409.359 | − | 236.344i | −0.799530 | − | 0.461609i | ||||
\(5\) | 1391.85 | + | 125.989i | 0.995928 | + | 0.0901505i | ||||
\(6\) | − | 524.728i | − | 0.165293i | ||||||
\(7\) | −6352.13 | + | 63.6305i | −0.999950 | + | 0.0100167i | ||||
\(8\) | 4365.66 | + | 4365.66i | 0.376830 | + | 0.376830i | ||||
\(9\) | 10980.5 | − | 6339.59i | 0.557867 | − | 0.322084i | ||||
\(10\) | −8225.08 | − | 3021.72i | −0.260100 | − | 0.0955552i | ||||
\(11\) | 15736.1 | − | 27255.8i | 0.324064 | − | 0.561295i | −0.657258 | − | 0.753665i | \(-0.728284\pi\) |
0.981322 | + | 0.192370i | \(0.0616173\pi\) | |||||||
\(12\) | 10238.5 | − | 38210.7i | 0.142535 | − | 0.531948i | ||||
\(13\) | −51912.6 | + | 51912.6i | −0.504113 | + | 0.504113i | −0.912713 | − | 0.408601i | \(-0.866017\pi\) |
0.408601 | + | 0.912713i | \(0.366017\pi\) | |||||||
\(14\) | 38574.0 | + | 9922.83i | 0.268360 | + | 0.0690334i | ||||
\(15\) | 19963.3 | + | 115242.i | 0.101817 | + | 0.587762i | ||||
\(16\) | 101653. | + | 176067.i | 0.387774 | + | 0.671644i | ||||
\(17\) | −14537.4 | + | 3895.29i | −0.0422151 | + | 0.0113115i | −0.279865 | − | 0.960039i | \(-0.590290\pi\) |
0.237650 | + | 0.971351i | \(0.423623\pi\) | |||||||
\(18\) | −76789.5 | + | 20575.7i | −0.172415 | + | 0.0461985i | ||||
\(19\) | 391609. | + | 678286.i | 0.689384 | + | 1.19405i | 0.972038 | + | 0.234826i | \(0.0754519\pi\) |
−0.282654 | + | 0.959222i | \(0.591215\pi\) | |||||||
\(20\) | −539991. | − | 380530.i | −0.754660 | − | 0.531807i | ||||
\(21\) | −142733. | − | 512110.i | −0.160153 | − | 0.574615i | ||||
\(22\) | −139534. | + | 139534.i | −0.126992 | + | 0.126992i | ||||
\(23\) | −158327. | + | 590883.i | −0.117972 | + | 0.440277i | −0.999492 | − | 0.0318693i | \(-0.989854\pi\) |
0.881520 | + | 0.472146i | \(0.156521\pi\) | |||||||
\(24\) | −258347. | + | 447470.i | −0.158947 | + | 0.275304i | ||||
\(25\) | 1.92138e6 | + | 350716.i | 0.983746 | + | 0.179567i | ||||
\(26\) | 398644. | − | 230157.i | 0.171082 | − | 0.0987745i | ||||
\(27\) | 1.91509e6 | + | 1.91509e6i | 0.693511 | + | 0.693511i | ||||
\(28\) | 2.61534e6 | + | 1.47524e6i | 0.804113 | + | 0.453577i | ||||
\(29\) | 7.28756e6i | 1.91334i | 0.291179 | + | 0.956668i | \(0.405952\pi\) | ||||
−0.291179 | + | 0.956668i | \(0.594048\pi\) | |||||||
\(30\) | 66110.1 | − | 730344.i | 0.0149012 | − | 0.164620i | ||||
\(31\) | 8.04245e6 | + | 4.64331e6i | 1.56409 | + | 0.903026i | 0.996836 | + | 0.0794811i | \(0.0253263\pi\) |
0.567251 | + | 0.823545i | \(0.308007\pi\) | |||||||
\(32\) | −1.14807e6 | − | 4.28465e6i | −0.193550 | − | 0.722339i | ||||
\(33\) | 2.54413e6 | + | 681698.i | 0.373445 | + | 0.100064i | ||||
\(34\) | 94365.0 | 0.0121103 | ||||||||
\(35\) | −8.84924e6 | − | 711735.i | −0.996781 | − | 0.0801700i | ||||
\(36\) | −5.99328e6 | −0.594708 | ||||||||
\(37\) | −3.86561e6 | − | 1.03579e6i | −0.339087 | − | 0.0908580i | 0.0852576 | − | 0.996359i | \(-0.472829\pi\) |
−0.424344 | + | 0.905501i | \(0.639495\pi\) | |||||||
\(38\) | −1.27100e6 | − | 4.74344e6i | −0.0988825 | − | 0.369034i | ||||
\(39\) | −5.32091e6 | − | 3.07203e6i | −0.368295 | − | 0.212635i | ||||
\(40\) | 5.52633e6 | + | 6.62638e6i | 0.341324 | + | 0.409267i | ||||
\(41\) | 4.95585e6i | 0.273899i | 0.990578 | + | 0.136950i | \(0.0437299\pi\) | ||||
−0.990578 | + | 0.136950i | \(0.956270\pi\) | |||||||
\(42\) | 33388.7 | + | 3.33314e6i | 0.00165569 | + | 0.165285i | ||||
\(43\) | −9.30301e6 | − | 9.30301e6i | −0.414969 | − | 0.414969i | 0.468497 | − | 0.883465i | \(-0.344796\pi\) |
−0.883465 | + | 0.468497i | \(0.844796\pi\) | |||||||
\(44\) | −1.28835e7 | + | 7.43827e6i | −0.518198 | + | 0.299182i | ||||
\(45\) | 1.60819e7 | − | 7.44035e6i | 0.584631 | − | 0.270481i | ||||
\(46\) | 1.91776e6 | − | 3.32166e6i | 0.0631516 | − | 0.109382i | ||||
\(47\) | 1.15867e7 | − | 4.32423e7i | 0.346354 | − | 1.29261i | −0.544668 | − | 0.838652i | \(-0.683344\pi\) |
0.891022 | − | 0.453960i | \(-0.149989\pi\) | |||||||
\(48\) | −1.20310e7 | + | 1.20310e7i | −0.327126 | + | 0.327126i | ||||
\(49\) | 4.03455e7 | − | 808378.i | 0.999799 | − | 0.0200324i | ||||
\(50\) | −1.10674e7 | − | 5.24206e6i | −0.250427 | − | 0.118614i | ||||
\(51\) | −629769. | − | 1.09079e6i | −0.0130351 | − | 0.0225775i | ||||
\(52\) | 3.35201e7 | − | 8.98169e6i | 0.635756 | − | 0.170350i | ||||
\(53\) | −7.99801e7 | + | 2.14306e7i | −1.39232 | + | 0.373072i | −0.875582 | − | 0.483069i | \(-0.839522\pi\) |
−0.516742 | + | 0.856141i | \(0.672855\pi\) | |||||||
\(54\) | −8.49068e6 | − | 1.47063e7i | −0.135885 | − | 0.235359i | ||||
\(55\) | 2.53363e7 | − | 3.59534e7i | 0.373346 | − | 0.529795i | ||||
\(56\) | −2.80091e7 | − | 2.74535e7i | −0.380586 | − | 0.373036i | ||||
\(57\) | −4.63484e7 | + | 4.63484e7i | −0.581565 | + | 0.581565i | ||||
\(58\) | 1.18262e7 | − | 4.41360e7i | 0.137221 | − | 0.512115i | ||||
\(59\) | 5.95342e7 | − | 1.03116e8i | 0.639636 | − | 1.10788i | −0.345877 | − | 0.938280i | \(-0.612419\pi\) |
0.985513 | − | 0.169601i | \(-0.0542480\pi\) | |||||||
\(60\) | 1.90647e7 | − | 5.18937e7i | 0.189910 | − | 0.516933i | ||||
\(61\) | −8.24305e7 | + | 4.75913e7i | −0.762261 | + | 0.440091i | −0.830107 | − | 0.557604i | \(-0.811721\pi\) |
0.0678462 | + | 0.997696i | \(0.478387\pi\) | |||||||
\(62\) | −4.11728e7 | − | 4.11728e7i | −0.353873 | − | 0.353873i | ||||
\(63\) | −6.93461e7 | + | 4.09686e7i | −0.554612 | + | 0.327656i | ||||
\(64\) | − | 7.62797e7i | − | 0.568328i | ||||||
\(65\) | −7.87951e7 | + | 6.57142e7i | −0.547506 | + | 0.456614i | ||||
\(66\) | −1.43019e7 | − | 8.25720e6i | −0.0927781 | − | 0.0535655i | ||||
\(67\) | 3.52475e7 | + | 1.31546e8i | 0.213694 | + | 0.797516i | 0.986622 | + | 0.163023i | \(0.0521245\pi\) |
−0.772928 | + | 0.634493i | \(0.781209\pi\) | |||||||
\(68\) | 6.87166e6 | + | 1.84126e6i | 0.0389737 | + | 0.0104430i | ||||
\(69\) | −5.11947e7 | −0.271897 | ||||||||
\(70\) | 5.24391e7 | + | 1.86710e7i | 0.261044 | + | 0.0929451i | ||||
\(71\) | 2.95103e8 | 1.37820 | 0.689099 | − | 0.724668i | \(-0.258007\pi\) | ||||
0.689099 | + | 0.724668i | \(0.258007\pi\) | |||||||
\(72\) | 7.56136e7 | + | 2.02606e7i | 0.331592 | + | 0.0888498i | ||||
\(73\) | 4.67359e7 | + | 1.74421e8i | 0.192619 | + | 0.718862i | 0.992870 | + | 0.119198i | \(0.0380324\pi\) |
−0.800252 | + | 0.599664i | \(0.795301\pi\) | |||||||
\(74\) | 2.17306e7 | + | 1.25462e7i | 0.0842422 | + | 0.0486372i | ||||
\(75\) | 1.32666e7 | + | 1.62915e8i | 0.0484156 | + | 0.594548i | ||||
\(76\) | − | 3.70217e8i | − | 1.27290i | ||||||
\(77\) | −9.82237e7 | + | 1.74134e8i | −0.318425 | + | 0.564513i | ||||
\(78\) | 2.72400e7 | + | 2.72400e7i | 0.0833262 | + | 0.0833262i | ||||
\(79\) | −3.03492e7 | + | 1.75221e7i | −0.0876649 | + | 0.0506133i | −0.543192 | − | 0.839609i | \(-0.682784\pi\) |
0.455527 | + | 0.890222i | \(0.349451\pi\) | |||||||
\(80\) | 1.19303e8 | + | 2.57867e8i | 0.325646 | + | 0.703867i | ||||
\(81\) | 1.14526e7 | − | 1.98366e7i | 0.0295613 | − | 0.0512016i | ||||
\(82\) | 8.04232e6 | − | 3.00144e7i | 0.0196435 | − | 0.0733106i | ||||
\(83\) | 2.43875e8 | − | 2.43875e8i | 0.564048 | − | 0.564048i | −0.366407 | − | 0.930455i | \(-0.619412\pi\) |
0.930455 | + | 0.366407i | \(0.119412\pi\) | |||||||
\(84\) | −6.26051e7 | + | 2.43371e8i | −0.137200 | + | 0.533350i | ||||
\(85\) | −2.07247e7 | + | 3.59011e6i | −0.0430629 | + | 0.00745973i | ||||
\(86\) | 4.12454e7 | + | 7.14391e7i | 0.0813079 | + | 0.140829i | ||||
\(87\) | −5.89106e8 | + | 1.57851e8i | −1.10245 | + | 0.295399i | ||||
\(88\) | 1.87688e8 | − | 5.02909e7i | 0.333630 | − | 0.0893959i | ||||
\(89\) | −3.20271e7 | − | 5.54726e7i | −0.0541082 | − | 0.0937181i | 0.837703 | − | 0.546127i | \(-0.183898\pi\) |
−0.891811 | + | 0.452409i | \(0.850565\pi\) | |||||||
\(90\) | −1.09472e8 | + | 1.89637e7i | −0.175878 | + | 0.0304671i | ||||
\(91\) | 3.26452e8 | − | 3.33059e8i | 0.499038 | − | 0.509137i | ||||
\(92\) | 2.04464e8 | − | 2.04464e8i | 0.297558 | − | 0.297558i | ||||
\(93\) | −2.01151e8 | + | 7.50705e8i | −0.278836 | + | 1.04063i | ||||
\(94\) | −1.40347e8 | + | 2.43087e8i | −0.185407 | + | 0.321135i | ||||
\(95\) | 4.59605e8 | + | 9.93412e8i | 0.578933 | + | 1.25133i | ||||
\(96\) | 3.21492e8 | − | 1.85613e8i | 0.386322 | − | 0.223043i | ||||
\(97\) | 9.43605e8 | + | 9.43605e8i | 1.08222 | + | 1.08222i | 0.996302 | + | 0.0859232i | \(0.0273840\pi\) |
0.0859232 | + | 0.996302i | \(0.472616\pi\) | |||||||
\(98\) | −2.45658e8 | − | 6.05766e7i | −0.269038 | − | 0.0663419i | ||||
\(99\) | − | 3.99042e8i | − | 0.417504i | ||||||
\(100\) | −7.03644e8 | − | 5.97674e8i | −0.703644 | − | 0.597674i | ||||
\(101\) | 3.03333e8 | + | 1.75129e8i | 0.290050 | + | 0.167461i | 0.637965 | − | 0.770066i | \(-0.279777\pi\) |
−0.347914 | + | 0.937526i | \(0.613110\pi\) | |||||||
\(102\) | 2.04397e6 | + | 7.62821e6i | 0.00186971 | + | 0.00697785i | ||||
\(103\) | −1.17644e9 | − | 3.15227e8i | −1.02992 | − | 0.275967i | −0.295990 | − | 0.955191i | \(-0.595650\pi\) |
−0.733931 | + | 0.679224i | \(0.762316\pi\) | |||||||
\(104\) | −4.53266e8 | −0.379930 | ||||||||
\(105\) | −1.34142e8 | − | 7.30764e8i | −0.107700 | − | 0.586713i | ||||
\(106\) | 5.19165e8 | 0.399419 | ||||||||
\(107\) | 1.24471e9 | + | 3.33520e8i | 0.918000 | + | 0.245977i | 0.686730 | − | 0.726912i | \(-0.259045\pi\) |
0.231269 | + | 0.972890i | \(0.425712\pi\) | |||||||
\(108\) | −3.31341e8 | − | 1.23658e9i | −0.234352 | − | 0.874613i | ||||
\(109\) | −1.03842e9 | − | 5.99532e8i | −0.704618 | − | 0.406811i | 0.104447 | − | 0.994530i | \(-0.466693\pi\) |
−0.809065 | + | 0.587719i | \(0.800026\pi\) | |||||||
\(110\) | −2.11790e8 | + | 1.76631e8i | −0.137924 | + | 0.115027i | ||||
\(111\) | − | 3.34921e8i | − | 0.209406i | ||||||
\(112\) | −6.56913e8 | − | 1.11193e9i | −0.394482 | − | 0.667726i | ||||
\(113\) | −1.50124e9 | − | 1.50124e9i | −0.866160 | − | 0.866160i | 0.125885 | − | 0.992045i | \(-0.459823\pi\) |
−0.992045 | + | 0.125885i | \(0.959823\pi\) | |||||||
\(114\) | 3.55916e8 | − | 2.05488e8i | 0.197367 | − | 0.113950i | ||||
\(115\) | −2.94812e8 | + | 8.02474e8i | −0.157183 | + | 0.427849i | ||||
\(116\) | 1.72237e9 | − | 2.98323e9i | 0.883213 | − | 1.52977i | ||||
\(117\) | −2.40921e8 | + | 8.99130e8i | −0.118861 | + | 0.443595i | ||||
\(118\) | −5.27896e8 | + | 5.27896e8i | −0.250657 | + | 0.250657i | ||||
\(119\) | 9.20958e7 | − | 2.56684e7i | 0.0420997 | − | 0.0117338i | ||||
\(120\) | −4.15957e8 | + | 5.90263e8i | −0.183119 | + | 0.259854i | ||||
\(121\) | 6.83722e8 | + | 1.18424e9i | 0.289965 | + | 0.502234i | ||||
\(122\) | 5.76458e8 | − | 1.54462e8i | 0.235586 | − | 0.0631250i | ||||
\(123\) | −4.00617e8 | + | 1.07345e8i | −0.157818 | + | 0.0422872i | ||||
\(124\) | −2.19483e9 | − | 3.80156e9i | −0.833689 | − | 1.44399i | ||||
\(125\) | 2.63009e9 | + | 7.30218e8i | 0.963552 | + | 0.267521i | ||||
\(126\) | 4.86468e8 | − | 1.35586e8i | 0.171944 | − | 0.0479232i | ||||
\(127\) | −2.36202e9 | + | 2.36202e9i | −0.805687 | + | 0.805687i | −0.983978 | − | 0.178291i | \(-0.942943\pi\) |
0.178291 | + | 0.983978i | \(0.442943\pi\) | |||||||
\(128\) | −7.11598e8 | + | 2.65572e9i | −0.234309 | + | 0.874455i | ||||
\(129\) | 5.50524e8 | − | 9.53535e8i | 0.175034 | − | 0.303168i | ||||
\(130\) | 5.83851e8 | − | 2.70120e8i | 0.179290 | − | 0.0829491i | ||||
\(131\) | −1.40365e9 | + | 8.10397e8i | −0.416426 | + | 0.240424i | −0.693547 | − | 0.720411i | \(-0.743953\pi\) |
0.277121 | + | 0.960835i | \(0.410620\pi\) | |||||||
\(132\) | −8.80348e8 | − | 8.80348e8i | −0.252390 | − | 0.252390i | ||||
\(133\) | −2.53071e9 | − | 4.28364e9i | −0.701310 | − | 1.18708i | ||||
\(134\) | − | 8.53885e8i | − | 0.228785i | ||||||
\(135\) | 2.42425e9 | + | 2.90681e9i | 0.628167 | + | 0.753207i | ||||
\(136\) | −8.04711e7 | − | 4.64600e7i | −0.0201704 | − | 0.0116454i | ||||
\(137\) | −1.01864e9 | − | 3.80162e9i | −0.247047 | − | 0.921991i | −0.972344 | − | 0.233555i | \(-0.924964\pi\) |
0.725297 | − | 0.688436i | \(-0.241702\pi\) | |||||||
\(138\) | 3.10053e8 | + | 8.30785e7i | 0.0727746 | + | 0.0194999i | ||||
\(139\) | 7.93977e7 | 0.0180402 | 0.00902010 | − | 0.999959i | \(-0.497129\pi\) | ||||
0.00902010 | + | 0.999959i | \(0.497129\pi\) | |||||||
\(140\) | 3.45430e9 | + | 2.38282e9i | 0.759949 | + | 0.524221i | ||||
\(141\) | 3.74656e9 | 0.798263 | ||||||||
\(142\) | −1.78725e9 | − | 4.78892e8i | −0.368882 | − | 0.0988416i | ||||
\(143\) | 5.98015e8 | + | 2.23182e9i | 0.119591 | + | 0.446321i | ||||
\(144\) | 2.23239e9 | + | 1.28887e9i | 0.432652 | + | 0.249792i | ||||
\(145\) | −9.18154e8 | + | 1.01432e10i | −0.172488 | + | 1.90555i | ||||
\(146\) | − | 1.13220e9i | − | 0.206222i | ||||||
\(147\) | 9.39242e8 | + | 3.24391e9i | 0.165901 | + | 0.572982i | ||||
\(148\) | 1.33762e9 | + | 1.33762e9i | 0.229169 | + | 0.229169i | ||||
\(149\) | −5.19264e9 | + | 2.99797e9i | −0.863078 | + | 0.498298i | −0.865042 | − | 0.501700i | \(-0.832708\pi\) |
0.00196393 | + | 0.999998i | \(0.499375\pi\) | |||||||
\(150\) | 1.84031e8 | − | 1.00820e9i | 0.0296811 | − | 0.162606i | ||||
\(151\) | 4.20657e9 | − | 7.28599e9i | 0.658464 | − | 1.14049i | −0.322550 | − | 0.946553i | \(-0.604540\pi\) |
0.981013 | − | 0.193940i | \(-0.0621268\pi\) | |||||||
\(152\) | −1.25154e9 | + | 4.67080e9i | −0.190172 | + | 0.709733i | ||||
\(153\) | −1.34934e8 | + | 1.34934e8i | −0.0199071 | + | 0.0199071i | ||||
\(154\) | 8.77459e8 | − | 8.95217e8i | 0.125714 | − | 0.128258i | ||||
\(155\) | 1.06089e10 | + | 7.47607e9i | 1.47631 | + | 1.04035i | ||||
\(156\) | 1.45211e9 | + | 2.51513e9i | 0.196308 | + | 0.340016i | ||||
\(157\) | −3.24593e9 | + | 8.69745e8i | −0.426374 | + | 0.114247i | −0.465624 | − | 0.884983i | \(-0.654170\pi\) |
0.0392494 | + | 0.999229i | \(0.487503\pi\) | |||||||
\(158\) | 2.12240e8 | − | 5.68696e7i | 0.0270939 | − | 0.00725978i | ||||
\(159\) | −3.46478e9 | − | 6.00118e9i | −0.429921 | − | 0.744645i | ||||
\(160\) | −1.05812e9 | − | 6.10825e9i | −0.127643 | − | 0.736846i | ||||
\(161\) | 9.68113e8 | − | 3.76344e9i | 0.113556 | − | 0.441437i | ||||
\(162\) | −1.01552e8 | + | 1.01552e8i | −0.0115843 | + | 0.0115843i | ||||
\(163\) | −1.44709e9 | + | 5.40060e9i | −0.160565 | + | 0.599236i | 0.838000 | + | 0.545671i | \(0.183725\pi\) |
−0.998564 | + | 0.0535649i | \(0.982942\pi\) | |||||||
\(164\) | 1.17128e9 | − | 2.02872e9i | 0.126434 | − | 0.218991i | ||||
\(165\) | 3.45517e9 | + | 1.26935e9i | 0.362903 | + | 0.133323i | ||||
\(166\) | −1.87275e9 | + | 1.08123e9i | −0.191423 | + | 0.110518i | ||||
\(167\) | 7.57451e8 | + | 7.57451e8i | 0.0753581 | + | 0.0753581i | 0.743781 | − | 0.668423i | \(-0.233030\pi\) |
−0.668423 | + | 0.743781i | \(0.733030\pi\) | |||||||
\(168\) | 1.61258e9 | − | 2.85882e9i | 0.156181 | − | 0.276883i | ||||
\(169\) | 5.21466e9i | 0.491741i | ||||||||
\(170\) | 1.31342e8 | + | 1.18890e7i | 0.0120610 | + | 0.00109175i | ||||
\(171\) | 8.60011e9 | + | 4.96527e9i | 0.769168 | + | 0.444080i | ||||
\(172\) | 1.60957e9 | + | 6.00698e9i | 0.140227 | + | 0.523333i | ||||
\(173\) | −1.73436e10 | − | 4.64720e9i | −1.47208 | − | 0.394443i | −0.568437 | − | 0.822727i | \(-0.692452\pi\) |
−0.903644 | + | 0.428284i | \(0.859118\pi\) | |||||||
\(174\) | 3.82399e9 | 0.316261 | ||||||||
\(175\) | −1.22272e10 | − | 2.10554e9i | −0.985495 | − | 0.169704i | ||||
\(176\) | 6.39847e9 | 0.502654 | ||||||||
\(177\) | 9.62516e9 | + | 2.57905e9i | 0.737103 | + | 0.197506i | ||||
\(178\) | 1.03947e8 | + | 3.87935e8i | 0.00776106 | + | 0.0289647i | ||||
\(179\) | −1.43711e9 | − | 8.29718e8i | −0.104629 | − | 0.0604076i | 0.446772 | − | 0.894648i | \(-0.352573\pi\) |
−0.551401 | + | 0.834240i | \(0.685907\pi\) | |||||||
\(180\) | −8.34176e9 | − | 7.55089e8i | −0.592286 | − | 0.0536132i | ||||
\(181\) | − | 2.30426e10i | − | 1.59580i | −0.602793 | − | 0.797898i | \(-0.705945\pi\) | ||
0.602793 | − | 0.797898i | \(-0.294055\pi\) | |||||||
\(182\) | −2.51759e9 | + | 1.48736e9i | −0.170084 | + | 0.100483i | ||||
\(183\) | −5.63261e9 | − | 5.63261e9i | −0.371261 | − | 0.371261i | ||||
\(184\) | −3.27080e9 | + | 1.88840e9i | −0.210365 | + | 0.121454i | ||||
\(185\) | −5.24986e9 | − | 1.92869e9i | −0.329515 | − | 0.121057i | ||||
\(186\) | 2.43648e9 | − | 4.22010e9i | 0.149264 | − | 0.258532i | ||||
\(187\) | −1.22594e8 | + | 4.57526e8i | −0.00733130 | + | 0.0273608i | ||||
\(188\) | −1.49632e10 | + | 1.49632e10i | −0.873601 | + | 0.873601i | ||||
\(189\) | −1.22868e10 | − | 1.20431e10i | −0.700423 | − | 0.686530i | ||||
\(190\) | −1.17142e9 | − | 6.76229e9i | −0.0652112 | − | 0.376446i | ||||
\(191\) | 6.88318e9 | + | 1.19220e10i | 0.374230 | + | 0.648185i | 0.990211 | − | 0.139575i | \(-0.0445737\pi\) |
−0.615981 | + | 0.787761i | \(0.711240\pi\) | |||||||
\(192\) | 6.16624e9 | − | 1.65224e9i | 0.327465 | − | 0.0877440i | ||||
\(193\) | 2.60310e10 | − | 6.97499e9i | 1.35046 | − | 0.361856i | 0.490158 | − | 0.871633i | \(-0.336939\pi\) |
0.860306 | + | 0.509778i | \(0.170272\pi\) | |||||||
\(194\) | −4.18352e9 | − | 7.24608e9i | −0.212048 | − | 0.367278i | ||||
\(195\) | −7.01888e9 | − | 4.94619e9i | −0.347626 | − | 0.244971i | ||||
\(196\) | −1.67069e10 | − | 9.20449e9i | −0.808616 | − | 0.445499i | ||||
\(197\) | 6.92580e9 | − | 6.92580e9i | 0.327621 | − | 0.327621i | −0.524060 | − | 0.851681i | \(-0.675583\pi\) |
0.851681 | + | 0.524060i | \(0.175583\pi\) | |||||||
\(198\) | −6.47563e8 | + | 2.41674e9i | −0.0299426 | + | 0.111747i | ||||
\(199\) | 1.26833e9 | − | 2.19681e9i | 0.0573316 | − | 0.0993012i | −0.835935 | − | 0.548828i | \(-0.815074\pi\) |
0.893267 | + | 0.449527i | \(0.148407\pi\) | |||||||
\(200\) | 6.85698e9 | + | 9.91920e9i | 0.303039 | + | 0.438371i | ||||
\(201\) | −9.87030e9 | + | 5.69862e9i | −0.426529 | + | 0.246256i | ||||
\(202\) | −1.55289e9 | − | 1.55289e9i | −0.0656236 | − | 0.0656236i | ||||
\(203\) | −4.63711e8 | − | 4.62916e10i | −0.0191653 | − | 1.91324i | ||||
\(204\) | 5.95368e8i | 0.0240685i | ||||||||
\(205\) | −6.24383e8 | + | 6.89781e9i | −0.0246921 | + | 0.272784i | ||||
\(206\) | 6.61341e9 | + | 3.81825e9i | 0.255872 | + | 0.147728i | ||||
\(207\) | 2.00745e9 | + | 7.49191e9i | 0.0759938 | + | 0.283613i | ||||
\(208\) | −1.44172e10 | − | 3.86307e9i | −0.534066 | − | 0.143102i | ||||
\(209\) | 2.46496e10 | 0.893618 | ||||||||
\(210\) | −3.73468e8 | + | 4.64345e9i | −0.0132515 | + | 0.164761i | ||||
\(211\) | 1.25279e10 | 0.435119 | 0.217559 | − | 0.976047i | \(-0.430190\pi\) | ||||
0.217559 | + | 0.976047i | \(0.430190\pi\) | |||||||
\(212\) | 3.78056e10 | + | 1.01300e10i | 1.28542 | + | 0.344427i | ||||
\(213\) | 6.39201e9 | + | 2.38553e10i | 0.212779 | + | 0.794103i | ||||
\(214\) | −6.99719e9 | − | 4.03983e9i | −0.228066 | − | 0.131674i | ||||
\(215\) | −1.17763e10 | − | 1.41205e10i | −0.375869 | − | 0.450689i | ||||
\(216\) | 1.67213e10i | 0.522671i | ||||||||
\(217\) | −5.13822e10 | − | 2.89832e10i | −1.57305 | − | 0.887314i | ||||
\(218\) | 5.31611e9 | + | 5.31611e9i | 0.159419 | + | 0.159419i | ||||
\(219\) | −1.30874e10 | + | 7.55601e9i | −0.384463 | + | 0.221970i | ||||
\(220\) | −1.88690e10 | + | 8.72979e9i | −0.543059 | + | 0.251248i | ||||
\(221\) | 5.52461e8 | − | 9.56891e8i | 0.0155789 | − | 0.0269834i | ||||
\(222\) | −5.43507e8 | + | 2.02840e9i | −0.0150182 | + | 0.0560486i | ||||
\(223\) | −1.96985e7 | + | 1.96985e7i | −0.000533411 | + | 0.000533411i | −0.707373 | − | 0.706840i | \(-0.750120\pi\) |
0.706840 | + | 0.707373i | \(0.250120\pi\) | |||||||
\(224\) | 7.56532e9 | + | 2.71436e10i | 0.200776 | + | 0.720364i | ||||
\(225\) | 2.33211e10 | − | 8.32971e9i | 0.606635 | − | 0.216675i | ||||
\(226\) | 6.65585e9 | + | 1.15283e10i | 0.169713 | + | 0.293952i | ||||
\(227\) | 2.66545e10 | − | 7.14206e9i | 0.666277 | − | 0.178528i | 0.0901997 | − | 0.995924i | \(-0.471249\pi\) |
0.576077 | + | 0.817395i | \(0.304583\pi\) | |||||||
\(228\) | 2.99273e10 | − | 8.01899e9i | 0.733433 | − | 0.196523i | ||||
\(229\) | 2.91621e9 | + | 5.05102e9i | 0.0700743 | + | 0.121372i | 0.898934 | − | 0.438085i | \(-0.144343\pi\) |
−0.828859 | + | 0.559457i | \(0.811010\pi\) | |||||||
\(230\) | 3.08773e9 | − | 4.38164e9i | 0.0727553 | − | 0.103243i | ||||
\(231\) | −1.62040e10 | − | 4.16835e9i | −0.374429 | − | 0.0963186i | ||||
\(232\) | −3.18151e10 | + | 3.18151e10i | −0.721003 | + | 0.721003i | ||||
\(233\) | −1.57210e10 | + | 5.86715e10i | −0.349444 | + | 1.30414i | 0.537890 | + | 0.843015i | \(0.319222\pi\) |
−0.887334 | + | 0.461128i | \(0.847445\pi\) | |||||||
\(234\) | 2.91821e9 | − | 5.05448e9i | 0.0636274 | − | 0.110206i | ||||
\(235\) | 2.15751e10 | − | 5.87270e10i | 0.461473 | − | 1.25612i | ||||
\(236\) | −4.87417e10 | + | 2.81411e10i | −1.02281 | + | 0.590523i | ||||
\(237\) | −2.07381e9 | − | 2.07381e9i | −0.0426975 | − | 0.0426975i | ||||
\(238\) | −5.99419e8 | + | 6.00449e6i | −0.0121097 | + | 0.000121305i | ||||
\(239\) | 3.32434e10i | 0.659044i | 0.944148 | + | 0.329522i | \(0.106888\pi\) | ||||
−0.944148 | + | 0.329522i | \(0.893112\pi\) | |||||||
\(240\) | −1.82611e10 | + | 1.52296e10i | −0.355285 | + | 0.296303i | ||||
\(241\) | −4.49640e10 | − | 2.59600e10i | −0.858595 | − | 0.495710i | 0.00494685 | − | 0.999988i | \(-0.498425\pi\) |
−0.863541 | + | 0.504278i | \(0.831759\pi\) | |||||||
\(242\) | −2.21908e9 | − | 8.28172e9i | −0.0415914 | − | 0.155221i | ||||
\(243\) | 5.33437e10 | + | 1.42934e10i | 0.981420 | + | 0.262971i | ||||
\(244\) | 4.49916e10 | 0.812600 | ||||||||
\(245\) | 5.62568e10 | + | 3.95795e9i | 0.997534 | + | 0.0701816i | ||||
\(246\) | 2.60048e9 | 0.0452736 | ||||||||
\(247\) | −5.55410e10 | − | 1.48822e10i | −0.949462 | − | 0.254408i | ||||
\(248\) | 1.48395e10 | + | 5.53818e10i | 0.249108 | + | 0.929682i | ||||
\(249\) | 2.49966e10 | + | 1.44318e10i | 0.412082 | + | 0.237916i | ||||
\(250\) | −1.47437e10 | − | 8.69054e9i | −0.238714 | − | 0.140707i | ||||
\(251\) | − | 5.44822e10i | − | 0.866408i | −0.901296 | − | 0.433204i | \(-0.857383\pi\) | ||
0.901296 | − | 0.433204i | \(-0.142617\pi\) | |||||||
\(252\) | 3.80701e10 | − | 3.81356e8i | 0.594678 | − | 0.00595700i | ||||
\(253\) | 1.36135e10 | + | 1.36135e10i | 0.208895 | + | 0.208895i | ||||
\(254\) | 1.81383e10 | − | 1.04721e10i | 0.273429 | − | 0.157864i | ||||
\(255\) | −7.39118e8 | − | 1.59757e9i | −0.0109467 | − | 0.0236607i | ||||
\(256\) | −1.09082e10 | + | 1.88936e10i | −0.158736 | + | 0.274939i | ||||
\(257\) | 7.23834e9 | − | 2.70138e10i | 0.103500 | − | 0.386267i | −0.894671 | − | 0.446726i | \(-0.852590\pi\) |
0.998171 | + | 0.0604593i | \(0.0192565\pi\) | |||||||
\(258\) | −4.88155e9 | + | 4.88155e9i | −0.0685914 | + | 0.0685914i | ||||
\(259\) | 2.46208e10 | + | 6.33349e9i | 0.339980 | + | 0.0874569i | ||||
\(260\) | 4.77866e10 | − | 8.27801e9i | 0.648524 | − | 0.112343i | ||||
\(261\) | 4.62002e10 | + | 8.00210e10i | 0.616256 | + | 1.06739i | ||||
\(262\) | 9.81610e9 | − | 2.63021e9i | 0.128701 | − | 0.0344854i | ||||
\(263\) | 3.37220e10 | − | 9.03579e9i | 0.434623 | − | 0.116457i | −0.0348724 | − | 0.999392i | \(-0.511102\pi\) |
0.469496 | + | 0.882935i | \(0.344436\pi\) | |||||||
\(264\) | 8.13075e9 | + | 1.40829e10i | 0.103018 | + | 0.178432i | ||||
\(265\) | −1.14020e11 | + | 1.97516e10i | −1.42029 | + | 0.246034i | ||||
\(266\) | 8.37538e9 | + | 3.00500e10i | 0.102574 | + | 0.368025i | ||||
\(267\) | 3.79053e9 | − | 3.79053e9i | 0.0456457 | − | 0.0456457i | ||||
\(268\) | 1.66611e10 | − | 6.21799e10i | 0.197286 | − | 0.736281i | ||||
\(269\) | −9.38488e9 | + | 1.62551e10i | −0.109281 | + | 0.189280i | −0.915479 | − | 0.402366i | \(-0.868188\pi\) |
0.806198 | + | 0.591645i | \(0.201521\pi\) | |||||||
\(270\) | −9.96493e9 | − | 2.15387e10i | −0.114114 | − | 0.246651i | ||||
\(271\) | −1.35677e11 | + | 7.83330e10i | −1.52807 | + | 0.882232i | −0.528627 | + | 0.848854i | \(0.677293\pi\) |
−0.999443 | + | 0.0333779i | \(0.989374\pi\) | |||||||
\(272\) | −2.16360e9 | − | 2.16360e9i | −0.0239672 | − | 0.0239672i | ||||
\(273\) | 3.39946e10 | + | 1.91754e10i | 0.370406 | + | 0.208935i | ||||
\(274\) | 2.46770e10i | 0.264493i | ||||||||
\(275\) | 3.97941e10 | − | 4.68497e10i | 0.419587 | − | 0.493981i | ||||
\(276\) | 2.09570e10 | + | 1.20995e10i | 0.217390 | + | 0.125510i | ||||
\(277\) | −2.70257e10 | − | 1.00861e11i | −0.275815 | − | 1.02935i | −0.955293 | − | 0.295659i | \(-0.904461\pi\) |
0.679479 | − | 0.733695i | \(-0.262206\pi\) | |||||||
\(278\) | −4.80860e8 | − | 1.28846e8i | −0.00482856 | − | 0.00129381i | ||||
\(279\) | 1.17747e11 | 1.16340 | ||||||||
\(280\) | −3.55256e10 | − | 4.17400e10i | −0.345407 | − | 0.405827i | ||||
\(281\) | −8.29793e10 | −0.793947 | −0.396973 | − | 0.917830i | \(-0.629940\pi\) | ||||
−0.396973 | + | 0.917830i | \(0.629940\pi\) | |||||||
\(282\) | −2.26904e10 | − | 6.07989e9i | −0.213659 | − | 0.0572499i | ||||
\(283\) | −4.88082e10 | − | 1.82155e11i | −0.452328 | − | 1.68811i | −0.695826 | − | 0.718210i | \(-0.744962\pi\) |
0.243498 | − | 0.969901i | \(-0.421705\pi\) | |||||||
\(284\) | −1.20803e11 | − | 6.97457e10i | −1.10191 | − | 0.636188i | ||||
\(285\) | −7.03495e10 | + | 5.86707e10i | −0.631625 | + | 0.526768i | ||||
\(286\) | − | 1.44871e10i | − | 0.128037i | ||||||
\(287\) | −3.15343e8 | − | 3.14802e10i | −0.00274356 | − | 0.273886i | ||||
\(288\) | −3.97693e10 | − | 3.97693e10i | −0.340629 | − | 0.340629i | ||||
\(289\) | −1.02504e11 | + | 5.91807e10i | −0.864371 | + | 0.499045i | ||||
\(290\) | 2.20210e10 | − | 5.99408e10i | 0.182829 | − | 0.497659i | ||||
\(291\) | −5.58397e10 | + | 9.67172e10i | −0.456483 | + | 0.790651i | ||||
\(292\) | 2.20915e10 | − | 8.24465e10i | 0.177829 | − | 0.663666i | ||||
\(293\) | −2.40273e10 | + | 2.40273e10i | −0.190459 | + | 0.190459i | −0.795894 | − | 0.605435i | \(-0.792999\pi\) |
0.605435 | + | 0.795894i | \(0.292999\pi\) | |||||||
\(294\) | −4.24179e8 | − | 2.11704e10i | −0.00331121 | − | 0.165260i | ||||
\(295\) | 9.58543e10 | − | 1.36022e11i | 0.736907 | − | 1.04571i | ||||
\(296\) | −1.23541e10 | − | 2.13979e10i | −0.0935400 | − | 0.162016i | ||||
\(297\) | 8.23336e10 | − | 2.20612e10i | 0.614007 | − | 0.164523i | ||||
\(298\) | 3.63135e10 | − | 9.73018e9i | 0.266744 | − | 0.0714739i | ||||
\(299\) | −2.24551e10 | − | 3.88934e10i | −0.162478 | − | 0.281420i | ||||
\(300\) | 3.30732e10 | − | 6.98264e10i | 0.235739 | − | 0.497708i | ||||
\(301\) | 5.96859e10 | + | 5.85020e10i | 0.419105 | + | 0.410791i | ||||
\(302\) | −3.73001e10 | + | 3.73001e10i | −0.258035 | + | 0.258035i | ||||
\(303\) | −7.58670e9 | + | 2.83139e10i | −0.0517084 | + | 0.192978i | ||||
\(304\) | −7.96160e10 | + | 1.37899e11i | −0.534650 | + | 0.926040i | ||||
\(305\) | −1.20727e11 | + | 5.58546e10i | −0.798831 | + | 0.369581i | ||||
\(306\) | 1.03617e9 | − | 5.98235e8i | 0.00675595 | − | 0.00390055i | ||||
\(307\) | 8.86323e9 | + | 8.86323e9i | 0.0569468 | + | 0.0569468i | 0.735007 | − | 0.678060i | \(-0.237179\pi\) |
−0.678060 | + | 0.735007i | \(0.737179\pi\) | |||||||
\(308\) | 8.13641e10 | − | 4.80686e10i | 0.515175 | − | 0.304357i | ||||
\(309\) | − | 1.01928e11i | − | 0.636037i | ||||||
\(310\) | −5.21191e10 | − | 6.24937e10i | −0.320530 | − | 0.384334i | ||||
\(311\) | 1.89438e9 | + | 1.09372e9i | 0.0114827 | + | 0.00662956i | 0.505730 | − | 0.862692i | \(-0.331223\pi\) |
−0.494248 | + | 0.869321i | \(0.664556\pi\) | |||||||
\(312\) | −9.81786e9 | − | 3.66408e10i | −0.0586572 | − | 0.218912i | ||||
\(313\) | 2.26100e11 | + | 6.05834e10i | 1.33153 | + | 0.356783i | 0.853286 | − | 0.521443i | \(-0.174606\pi\) |
0.478246 | + | 0.878226i | \(0.341273\pi\) | |||||||
\(314\) | 2.10699e10 | 0.122315 | ||||||||
\(315\) | −1.01681e11 | + | 4.82854e10i | −0.581893 | + | 0.276324i | ||||
\(316\) | 1.65650e10 | 0.0934542 | ||||||||
\(317\) | 2.87425e11 | + | 7.70152e10i | 1.59866 | + | 0.428361i | 0.944639 | − | 0.328112i | \(-0.106412\pi\) |
0.654025 | + | 0.756473i | \(0.273079\pi\) | |||||||
\(318\) | 1.12452e10 | + | 4.19678e10i | 0.0616662 | + | 0.230141i | ||||
\(319\) | 1.98628e11 | + | 1.14678e11i | 1.07395 | + | 0.620044i | ||||
\(320\) | 9.61042e9 | − | 1.06170e11i | 0.0512351 | − | 0.566014i | ||||
\(321\) | 1.07843e11i | 0.566919i | ||||||||
\(322\) | −1.19705e10 | + | 2.12216e10i | −0.0620528 | + | 0.110009i | ||||
\(323\) | −8.33511e9 | − | 8.33511e9i | −0.0426089 | − | 0.0426089i | ||||
\(324\) | −9.37649e9 | + | 5.41352e9i | −0.0472702 | + | 0.0272915i | ||||
\(325\) | −1.17950e11 | + | 8.15372e10i | −0.586441 | + | 0.405397i | ||||
\(326\) | 1.75281e10 | − | 3.03596e10i | 0.0859520 | − | 0.148873i | ||||
\(327\) | 2.59720e10 | − | 9.69290e10i | 0.125615 | − | 0.468801i | ||||
\(328\) | −2.16356e10 | + | 2.16356e10i | −0.103213 | + | 0.103213i | ||||
\(329\) | −7.08489e10 | + | 2.75418e11i | −0.333389 | + | 1.29602i | ||||
\(330\) | −1.88658e10 | − | 1.32947e10i | −0.0875714 | − | 0.0617113i | ||||
\(331\) | −1.79417e11 | − | 3.10760e11i | −0.821558 | − | 1.42298i | −0.904522 | − | 0.426427i | \(-0.859772\pi\) |
0.0829639 | − | 0.996553i | \(-0.473561\pi\) | |||||||
\(332\) | −1.57471e11 | + | 4.21942e10i | −0.711343 | + | 0.190604i | ||||
\(333\) | −4.90128e10 | + | 1.31329e10i | −0.218429 | + | 0.0585279i | ||||
\(334\) | −3.35820e9 | − | 5.81657e9i | −0.0147655 | − | 0.0255745i | ||||
\(335\) | 3.24860e10 | + | 1.87533e11i | 0.140927 | + | 0.813533i | ||||
\(336\) | 7.56568e10 | − | 7.71878e10i | 0.323833 | − | 0.330386i | ||||
\(337\) | −2.19428e11 | + | 2.19428e11i | −0.926740 | + | 0.926740i | −0.997494 | − | 0.0707536i | \(-0.977460\pi\) |
0.0707536 | + | 0.997494i | \(0.477460\pi\) | |||||||
\(338\) | 8.46232e9 | − | 3.15818e10i | 0.0352667 | − | 0.131617i | ||||
\(339\) | 8.88390e10 | − | 1.53874e11i | 0.365347 | − | 0.632799i | ||||
\(340\) | 9.33235e9 | + | 3.42851e9i | 0.0378736 | + | 0.0139139i | ||||
\(341\) | 2.53114e11 | − | 1.46136e11i | 1.01373 | − | 0.585277i | ||||
\(342\) | −4.40276e10 | − | 4.40276e10i | −0.174023 | − | 0.174023i | ||||
\(343\) | −2.56228e11 | + | 7.70213e9i | −0.999549 | + | 0.0300460i | ||||
\(344\) | − | 8.12276e10i | − | 0.312745i | ||||||
\(345\) | −7.12555e10 | − | 6.44998e9i | −0.270790 | − | 0.0245116i | ||||
\(346\) | 9.74974e10 | + | 5.62902e10i | 0.365722 | + | 0.211149i | ||||
\(347\) | 1.17266e11 | + | 4.37644e11i | 0.434201 | + | 1.62046i | 0.742972 | + | 0.669323i | \(0.233416\pi\) |
−0.308771 | + | 0.951136i | \(0.599918\pi\) | |||||||
\(348\) | 2.78463e11 | + | 7.46140e10i | 1.01780 | + | 0.272718i | ||||
\(349\) | 9.68004e10 | 0.349271 | 0.174635 | − | 0.984633i | \(-0.444125\pi\) | ||||
0.174635 | + | 0.984633i | \(0.444125\pi\) | |||||||
\(350\) | 7.06351e10 | + | 3.25940e10i | 0.251602 | + | 0.116100i | ||||
\(351\) | −1.98835e11 | −0.699216 | ||||||||
\(352\) | −1.34848e11 | − | 3.61323e10i | −0.468168 | − | 0.125445i | ||||
\(353\) | 9.02545e10 | + | 3.36834e11i | 0.309373 | + | 1.15460i | 0.929115 | + | 0.369791i | \(0.120571\pi\) |
−0.619742 | + | 0.784806i | \(0.712763\pi\) | |||||||
\(354\) | −5.41080e10 | − | 3.12393e10i | −0.183125 | − | 0.105727i | ||||
\(355\) | 4.10740e11 | + | 3.71798e10i | 1.37259 | + | 0.124245i | ||||
\(356\) | 3.02776e10i | 0.0999072i | ||||||||
\(357\) | 4.06979e9 | + | 6.88878e9i | 0.0132606 | + | 0.0224458i | ||||
\(358\) | 7.35720e9 | + | 7.35720e9i | 0.0236722 | + | 0.0236722i | ||||
\(359\) | 1.92984e11 | − | 1.11419e11i | 0.613192 | − | 0.354027i | −0.161022 | − | 0.986951i | \(-0.551479\pi\) |
0.774214 | + | 0.632924i | \(0.218146\pi\) | |||||||
\(360\) | 1.02690e11 | + | 3.77263e10i | 0.322232 | + | 0.118381i | ||||
\(361\) | −1.45371e11 | + | 2.51790e11i | −0.450500 | + | 0.780289i | ||||
\(362\) | −3.73933e10 | + | 1.39554e11i | −0.114447 | + | 0.427123i | ||||
\(363\) | −8.09212e10 | + | 8.09212e10i | −0.244615 | + | 0.244615i | ||||
\(364\) | −2.12353e11 | + | 5.91857e10i | −0.634018 | + | 0.176710i | ||||
\(365\) | 4.30744e10 | + | 2.48656e11i | 0.127028 | + | 0.733300i | ||||
\(366\) | 2.49725e10 | + | 4.32536e10i | 0.0727439 | + | 0.125996i | ||||
\(367\) | 8.89106e10 | − | 2.38235e10i | 0.255833 | − | 0.0685502i | −0.128623 | − | 0.991694i | \(-0.541056\pi\) |
0.384456 | + | 0.923143i | \(0.374389\pi\) | |||||||
\(368\) | −1.20129e11 | + | 3.21886e10i | −0.341456 | + | 0.0914928i | ||||
\(369\) | 3.14181e10 | + | 5.44177e10i | 0.0882187 | + | 0.152799i | ||||
\(370\) | 2.86651e10 | + | 2.02003e10i | 0.0795145 | + | 0.0560337i | ||||
\(371\) | 5.06680e11 | − | 1.41219e11i | 1.38852 | − | 0.387000i | ||||
\(372\) | 2.59767e11 | − | 2.59767e11i | 0.703301 | − | 0.703301i | ||||
\(373\) | 5.44454e10 | − | 2.03193e11i | 0.145637 | − | 0.543525i | −0.854089 | − | 0.520127i | \(-0.825885\pi\) |
0.999726 | − | 0.0233982i | \(-0.00744855\pi\) | |||||||
\(374\) | 1.48494e9 | − | 2.57199e9i | 0.00392452 | − | 0.00679747i | ||||
\(375\) | −2.06038e9 | + | 2.28426e11i | −0.00538030 | + | 0.596492i | ||||
\(376\) | 2.39365e11 | − | 1.38197e11i | 0.617611 | − | 0.356578i | ||||
\(377\) | −3.78316e11 | − | 3.78316e11i | −0.964538 | − | 0.964538i | ||||
\(378\) | 5.48697e10 | + | 9.28760e10i | 0.138235 | + | 0.233986i | ||||
\(379\) | − | 3.22937e11i | − | 0.803973i | −0.915646 | − | 0.401986i | \(-0.868320\pi\) | ||
0.915646 | − | 0.401986i | \(-0.131680\pi\) | |||||||
\(380\) | 4.66433e10 | − | 5.15287e11i | 0.114753 | − | 1.26772i | ||||
\(381\) | −2.42101e11 | − | 1.39777e11i | −0.588618 | − | 0.339839i | ||||
\(382\) | −2.23399e10 | − | 8.33738e10i | −0.0536781 | − | 0.200329i | ||||
\(383\) | −3.36410e11 | − | 9.01407e10i | −0.798866 | − | 0.214056i | −0.163780 | − | 0.986497i | \(-0.552369\pi\) |
−0.635086 | + | 0.772441i | \(0.719035\pi\) | |||||||
\(384\) | −2.30094e11 | −0.540027 | ||||||||
\(385\) | −1.58652e11 | + | 2.29993e11i | −0.368020 | + | 0.533508i | ||||
\(386\) | −1.68972e11 | −0.387411 | ||||||||
\(387\) | −1.61129e11 | − | 4.31744e10i | −0.365152 | − | 0.0978423i | ||||
\(388\) | −1.63258e11 | − | 6.09288e11i | −0.365706 | − | 1.36484i | ||||
\(389\) | −3.54460e11 | − | 2.04648e11i | −0.784864 | − | 0.453142i | 0.0532871 | − | 0.998579i | \(-0.483030\pi\) |
−0.838151 | + | 0.545438i | \(0.816363\pi\) | |||||||
\(390\) | 3.44821e10 | + | 4.13460e10i | 0.0754750 | + | 0.0904988i | ||||
\(391\) | − | 9.20665e9i | − | 0.0199208i | ||||||
\(392\) | 1.79664e11 | + | 1.72606e11i | 0.384303 | + | 0.369205i | ||||
\(393\) | −9.59137e10 | − | 9.59137e10i | −0.202822 | − | 0.202822i | ||||
\(394\) | −5.31842e10 | + | 3.07059e10i | −0.111186 | + | 0.0641932i | ||||
\(395\) | −4.44492e10 | + | 2.05645e10i | −0.0918708 | + | 0.0425042i | ||||
\(396\) | −9.43111e10 | + | 1.63352e11i | −0.192723 | + | 0.333807i | ||||
\(397\) | 1.51381e10 | − | 5.64962e10i | 0.0305854 | − | 0.114146i | −0.948946 | − | 0.315440i | \(-0.897848\pi\) |
0.979531 | + | 0.201294i | \(0.0645145\pi\) | |||||||
\(398\) | −1.12464e10 | + | 1.12464e10i | −0.0224668 | + | 0.0224668i | ||||
\(399\) | 2.91462e11 | − | 2.97360e11i | 0.575710 | − | 0.587361i | ||||
\(400\) | 1.33563e11 | + | 3.73943e11i | 0.260866 | + | 0.730358i | ||||
\(401\) | −2.55372e11 | − | 4.42317e11i | −0.493200 | − | 0.854247i | 0.506769 | − | 0.862082i | \(-0.330840\pi\) |
−0.999969 | + | 0.00783443i | \(0.997506\pi\) | |||||||
\(402\) | 6.90257e10 | − | 1.84954e10i | 0.131824 | − | 0.0353220i | ||||
\(403\) | −6.58551e11 | + | 1.76458e11i | −1.24370 | + | 0.333249i | ||||
\(404\) | −8.27814e10 | − | 1.43382e11i | −0.154603 | − | 0.267780i | ||||
\(405\) | 1.84396e10 | − | 2.61667e10i | 0.0340568 | − | 0.0483282i | ||||
\(406\) | −7.23132e10 | + | 2.81110e11i | −0.132084 | + | 0.513464i | ||||
\(407\) | −8.90610e10 | + | 8.90610e10i | −0.160884 | + | 0.160884i | ||||
\(408\) | 2.01267e9 | − | 7.51140e9i | 0.00359586 | − | 0.0134199i | ||||
\(409\) | 2.33222e11 | − | 4.03952e11i | 0.412111 | − | 0.713797i | −0.583010 | − | 0.812465i | \(-0.698125\pi\) |
0.995120 | + | 0.0986685i | \(0.0314583\pi\) | |||||||
\(410\) | 1.49752e10 | − | 4.07623e10i | 0.0261725 | − | 0.0712412i | ||||
\(411\) | 2.85249e11 | − | 1.64688e11i | 0.493100 | − | 0.284692i | ||||
\(412\) | 4.07086e11 | + | 4.07086e11i | 0.696064 | + | 0.696064i | ||||
\(413\) | −3.71608e11 | + | 6.58796e11i | −0.628506 | + | 1.11423i | ||||
\(414\) | − | 4.86313e10i | − | 0.0813606i | ||||||
\(415\) | 3.70164e11 | − | 3.08712e11i | 0.612601 | − | 0.510902i | ||||
\(416\) | 2.82027e11 | + | 1.62828e11i | 0.461711 | + | 0.266569i | ||||
\(417\) | 1.71978e9 | + | 6.41829e9i | 0.00278522 | + | 0.0103946i | ||||
\(418\) | −1.49287e11 | − | 4.00012e10i | −0.239182 | − | 0.0640885i | ||||
\(419\) | −2.82987e9 | −0.00448542 | −0.00224271 | − | 0.999997i | \(-0.500714\pi\) | ||||
−0.00224271 | + | 0.999997i | \(0.500714\pi\) | |||||||
\(420\) | −1.17799e11 | + | 3.30849e11i | −0.184723 | + | 0.518809i | ||||
\(421\) | 6.93519e11 | 1.07594 | 0.537971 | − | 0.842963i | \(-0.319191\pi\) | ||||
0.537971 | + | 0.842963i | \(0.319191\pi\) | |||||||
\(422\) | −7.58734e10 | − | 2.03302e10i | −0.116462 | − | 0.0312058i | ||||
\(423\) | −1.46910e11 | − | 5.48276e11i | −0.223111 | − | 0.832660i | ||||
\(424\) | −4.42725e11 | − | 2.55607e11i | −0.665254 | − | 0.384085i | ||||
\(425\) | −2.92981e10 | + | 2.38582e9i | −0.0435601 | + | 0.00354721i | ||||
\(426\) | − | 1.54849e11i | − | 0.227806i | ||||||
\(427\) | 5.20581e11 | − | 3.07551e11i | 0.757814 | − | 0.447705i | ||||
\(428\) | −4.30710e11 | − | 4.30710e11i | −0.620423 | − | 0.620423i | ||||
\(429\) | −1.67461e11 | + | 9.66837e10i | −0.238702 | + | 0.137815i | ||||
\(430\) | 4.84069e10 | + | 1.04629e11i | 0.0682810 | + | 0.147586i | ||||
\(431\) | 5.65826e11 | − | 9.80039e11i | 0.789833 | − | 1.36803i | −0.136236 | − | 0.990676i | \(-0.543501\pi\) |
0.926069 | − | 0.377354i | \(-0.123166\pi\) | |||||||
\(432\) | −1.42511e11 | + | 5.31860e11i | −0.196867 | + | 0.734717i | ||||
\(433\) | −5.88944e11 | + | 5.88944e11i | −0.805154 | + | 0.805154i | −0.983896 | − | 0.178742i | \(-0.942797\pi\) |
0.178742 | + | 0.983896i | \(0.442797\pi\) | |||||||
\(434\) | 2.64155e11 | + | 2.58915e11i | 0.357400 | + | 0.350311i | ||||
\(435\) | −8.39836e11 | + | 1.45484e11i | −1.12459 | + | 0.194811i | ||||
\(436\) | 2.83391e11 | + | 4.90848e11i | 0.375575 | + | 0.650515i | ||||
\(437\) | −4.62790e11 | + | 1.24004e11i | −0.607040 | + | 0.162656i | ||||
\(438\) | 9.15236e10 | − | 2.45237e10i | 0.118823 | − | 0.0318385i | ||||
\(439\) | 5.16062e11 | + | 8.93846e11i | 0.663150 | + | 1.14861i | 0.979783 | + | 0.200061i | \(0.0641141\pi\) |
−0.316634 | + | 0.948548i | \(0.602553\pi\) | |||||||
\(440\) | 2.67570e11 | − | 4.63508e10i | 0.340331 | − | 0.0589550i | ||||
\(441\) | 4.37889e11 | − | 2.64650e11i | 0.551303 | − | 0.333195i | ||||
\(442\) | −4.89873e9 | + | 4.89873e9i | −0.00610497 | + | 0.00610497i | ||||
\(443\) | 2.62266e11 | − | 9.78790e11i | 0.323538 | − | 1.20746i | −0.592236 | − | 0.805765i | \(-0.701755\pi\) |
0.915774 | − | 0.401695i | \(-0.131579\pi\) | |||||||
\(444\) | −7.91564e10 | + | 1.37103e11i | −0.0966635 | + | 0.167426i | ||||
\(445\) | −3.75881e10 | − | 8.12447e10i | −0.0454391 | − | 0.0982143i | ||||
\(446\) | 1.51268e8 | − | 8.73344e7i | 0.000181025 | − | 0.000104515i | ||||
\(447\) | −3.54822e11 | − | 3.54822e11i | −0.420365 | − | 0.420365i | ||||
\(448\) | 4.85372e9 | + | 4.84539e11i | 0.00569277 | + | 0.568300i | ||||
\(449\) | − | 5.75341e10i | − | 0.0668062i | −0.999442 | − | 0.0334031i | \(-0.989365\pi\) | ||
0.999442 | − | 0.0334031i | \(-0.0106345\pi\) | |||||||
\(450\) | −1.54758e11 | + | 1.26023e10i | −0.177908 | + | 0.0144876i | ||||
\(451\) | 1.35076e11 | + | 7.79859e10i | 0.153738 | + | 0.0887609i | ||||
\(452\) | 2.59738e11 | + | 9.69357e11i | 0.292694 | + | 1.09235i | ||||
\(453\) | 6.80095e11 | + | 1.82231e11i | 0.758801 | + | 0.203320i | ||||
\(454\) | −1.73019e11 | −0.191136 | ||||||||
\(455\) | 4.96335e11 | − | 4.22439e11i | 0.542905 | − | 0.462075i | ||||
\(456\) | −4.04683e11 | −0.438302 | ||||||||
\(457\) | −9.21358e10 | − | 2.46877e10i | −0.0988111 | − | 0.0264764i | 0.209075 | − | 0.977900i | \(-0.432955\pi\) |
−0.307886 | + | 0.951423i | \(0.599621\pi\) | |||||||
\(458\) | −9.46480e9 | − | 3.53231e10i | −0.0100512 | − | 0.0375115i | ||||
\(459\) | −3.53004e10 | − | 2.03807e10i | −0.0371213 | − | 0.0214320i | ||||
\(460\) | 3.10344e11 | − | 2.58823e11i | 0.323171 | − | 0.269521i | ||||
\(461\) | − | 5.60003e10i | − | 0.0577479i | −0.999583 | − | 0.0288740i | \(-0.990808\pi\) | ||
0.999583 | − | 0.0288740i | \(-0.00919214\pi\) | |||||||
\(462\) | 9.13728e10 | + | 5.15407e10i | 0.0933100 | + | 0.0526334i | ||||
\(463\) | 1.14526e12 | + | 1.14526e12i | 1.15821 | + | 1.15821i | 0.984860 | + | 0.173352i | \(0.0554598\pi\) |
0.173352 | + | 0.984860i | \(0.444540\pi\) | |||||||
\(464\) | −1.28310e12 | + | 7.40799e11i | −1.28508 | + | 0.741941i | ||||
\(465\) | −3.74553e11 | + | 1.01953e12i | −0.371514 | + | 1.01125i | ||||
\(466\) | 1.90423e11 | − | 3.29823e11i | 0.187061 | − | 0.323999i | ||||
\(467\) | 2.25493e11 | − | 8.41550e11i | 0.219385 | − | 0.818755i | −0.765192 | − | 0.643802i | \(-0.777356\pi\) |
0.984577 | − | 0.174953i | \(-0.0559774\pi\) | |||||||
\(468\) | 3.11127e11 | − | 3.11127e11i | 0.299800 | − | 0.299800i | ||||
\(469\) | −2.32267e11 | − | 8.33352e11i | −0.221672 | − | 0.795336i | ||||
\(470\) | −2.25968e11 | + | 3.20659e11i | −0.213603 | + | 0.303112i | ||||
\(471\) | −1.40616e11 | − | 2.43553e11i | −0.131656 | − | 0.228034i | ||||
\(472\) | 7.10077e11 | − | 1.90265e11i | 0.658517 | − | 0.176449i | ||||
\(473\) | −3.99954e11 | + | 1.07167e11i | −0.367397 | + | 0.0984436i | ||||
\(474\) | 9.19436e9 | + | 1.59251e10i | 0.00836602 | + | 0.0144904i | ||||
\(475\) | 5.14542e11 | + | 1.44059e12i | 0.463767 | + | 1.29843i | ||||
\(476\) | −4.37668e10 | − | 1.12586e10i | −0.0390763 | − | 0.0100521i | ||||
\(477\) | −7.42359e11 | + | 7.42359e11i | −0.656571 | + | 0.656571i | ||||
\(478\) | 5.39471e10 | − | 2.01333e11i | 0.0472653 | − | 0.176397i | ||||
\(479\) | −3.88617e11 | + | 6.73104e11i | −0.337296 | + | 0.584214i | −0.983923 | − | 0.178592i | \(-0.942846\pi\) |
0.646627 | + | 0.762806i | \(0.276179\pi\) | |||||||
\(480\) | 4.70854e11 | − | 2.17842e11i | 0.404857 | − | 0.187308i | ||||
\(481\) | 2.54444e11 | − | 1.46904e11i | 0.216741 | − | 0.125135i | ||||
\(482\) | 2.30190e11 | + | 2.30190e11i | 0.194256 | + | 0.194256i | ||||
\(483\) | 3.25196e11 | − | 3.25754e9i | 0.271883 | − | 0.00272351i | ||||
\(484\) | − | 6.46373e11i | − | 0.535401i | ||||||
\(485\) | 1.19447e12 | + | 1.43224e12i | 0.980255 | + | 1.17538i | ||||
\(486\) | −2.99873e11 | − | 1.73132e11i | −0.243822 | − | 0.140771i | ||||
\(487\) | 1.29318e11 | + | 4.82621e11i | 0.104178 | + | 0.388799i | 0.998251 | − | 0.0591235i | \(-0.0188306\pi\) |
−0.894072 | + | 0.447923i | \(0.852164\pi\) | |||||||
\(488\) | −5.67631e11 | − | 1.52096e11i | −0.453082 | − | 0.121403i | ||||
\(489\) | −4.67914e11 | −0.370063 | ||||||||
\(490\) | −3.34288e11 | − | 1.15264e11i | −0.261962 | − | 0.0903256i | ||||
\(491\) | −3.22411e11 | −0.250347 | −0.125174 | − | 0.992135i | \(-0.539949\pi\) | ||||
−0.125174 | + | 0.992135i | \(0.539949\pi\) | |||||||
\(492\) | 1.89367e11 | + | 5.07406e10i | 0.145700 | + | 0.0390403i | ||||
\(493\) | −2.83872e10 | − | 1.05943e11i | −0.0216427 | − | 0.0807717i | ||||
\(494\) | 3.12225e11 | + | 1.80263e11i | 0.235883 | + | 0.136187i | ||||
\(495\) | 5.02750e10 | − | 5.55408e11i | 0.0376382 | − | 0.415804i | ||||
\(496\) | 1.88802e12i | 1.40068i | ||||||||
\(497\) | −1.87453e12 | + | 1.87776e10i | −1.37813 | + | 0.0138050i | ||||
\(498\) | −1.27968e11 | − | 1.27968e11i | −0.0932331 | − | 0.0932331i | ||||
\(499\) | 1.59337e12 | − | 9.19933e11i | 1.15044 | − | 0.664208i | 0.201447 | − | 0.979499i | \(-0.435436\pi\) |
0.948995 | + | 0.315292i | \(0.102102\pi\) | |||||||
\(500\) | −9.04068e11 | − | 9.20526e11i | −0.646898 | − | 0.658675i | ||||
\(501\) | −4.48236e10 | + | 7.76368e10i | −0.0317861 | + | 0.0550551i | ||||
\(502\) | −8.84133e10 | + | 3.29963e11i | −0.0621371 | + | 0.231899i | ||||
\(503\) | 1.81776e12 | − | 1.81776e12i | 1.26613 | − | 1.26613i | 0.318065 | − | 0.948069i | \(-0.396967\pi\) |
0.948069 | − | 0.318065i | \(-0.103033\pi\) | |||||||
\(504\) | −4.81597e11 | − | 1.23887e11i | −0.332465 | − | 0.0855239i | ||||
\(505\) | 4.00130e11 | + | 2.81971e11i | 0.273773 | + | 0.192927i | ||||
\(506\) | −6.03563e10 | − | 1.04540e11i | −0.0409303 | − | 0.0708934i | ||||
\(507\) | −4.21539e11 | + | 1.12951e11i | −0.283336 | + | 0.0759197i | ||||
\(508\) | 1.52516e12 | − | 4.08666e11i | 1.01608 | − | 0.272258i | ||||
\(509\) | −1.99720e10 | − | 3.45925e10i | −0.0131884 | − | 0.0228430i | 0.859356 | − | 0.511378i | \(-0.170865\pi\) |
−0.872544 | + | 0.488535i | \(0.837531\pi\) | |||||||
\(510\) | 1.88383e9 | + | 1.08749e10i | 0.00123304 | + | 0.00711799i | ||||
\(511\) | −3.07971e11 | − | 1.10497e12i | −0.199810 | − | 0.716897i | ||||
\(512\) | 1.09211e12 | − | 1.09211e12i | 0.702350 | − | 0.702350i | ||||
\(513\) | −5.49014e11 | + | 2.04895e12i | −0.349990 | + | 1.30618i | ||||
\(514\) | −8.76758e10 | + | 1.51859e11i | −0.0554046 | + | 0.0959635i | ||||
\(515\) | −1.59772e12 | − | 5.86969e11i | −1.00085 | − | 0.367691i | ||||
\(516\) | −4.50724e11 | + | 2.60226e11i | −0.279890 | + | 0.161594i | ||||
\(517\) | −9.96271e11 | − | 9.96271e11i | −0.613296 | − | 0.613296i | ||||
\(518\) | −1.38834e11 | − | 7.83123e10i | −0.0847251 | − | 0.0477910i | ||||
\(519\) | − | 1.50267e12i | − | 0.909096i | ||||||
\(520\) | −6.30879e11 | − | 5.71066e10i | −0.378383 | − | 0.0342508i | ||||
\(521\) | 3.98317e11 | + | 2.29968e11i | 0.236842 | + | 0.136741i | 0.613725 | − | 0.789520i | \(-0.289671\pi\) |
−0.376882 | + | 0.926261i | \(0.623004\pi\) | |||||||
\(522\) | −1.49947e11 | − | 5.59609e11i | −0.0883933 | − | 0.329888i | ||||
\(523\) | −2.99113e12 | − | 8.01470e11i | −1.74814 | − | 0.468414i | −0.763915 | − | 0.645317i | \(-0.776725\pi\) |
−0.984228 | + | 0.176903i | \(0.943392\pi\) | |||||||
\(524\) | 7.66129e11 | 0.443926 | ||||||||
\(525\) | −9.46378e10 | − | 1.03402e12i | −0.0543686 | − | 0.594033i | ||||
\(526\) | −2.18896e11 | −0.124681 | ||||||||
\(527\) | −1.35004e11 | − | 3.61741e10i | −0.0762426 | − | 0.0204292i | ||||
\(528\) | 1.38593e11 | + | 5.17234e11i | 0.0776046 | + | 0.289624i | ||||
\(529\) | 1.23577e12 | + | 7.13471e11i | 0.686099 | + | 0.396119i | ||||
\(530\) | 7.22600e11 | + | 6.54091e10i | 0.397793 | + | 0.0360078i | ||||
\(531\) | − | 1.50969e12i | − | 0.824067i | ||||||
\(532\) | 2.35571e10 | + | 2.35166e12i | 0.0127503 | + | 1.27284i | ||||
\(533\) | −2.57271e11 | − | 2.57271e11i | −0.138076 | − | 0.138076i | ||||
\(534\) | −2.91080e10 | + | 1.68055e10i | −0.0154909 | + | 0.00894369i | ||||
\(535\) | 1.69044e12 | + | 6.21031e11i | 0.892087 | + | 0.327734i | ||||
\(536\) | −4.20405e11 | + | 7.28162e11i | −0.220002 | + | 0.381054i | ||||
\(537\) | 3.59438e10 | − | 1.34144e11i | 0.0186526 | − | 0.0696125i | ||||
\(538\) | 8.32167e10 | − | 8.32167e10i | 0.0428243 | − | 0.0428243i | ||||
\(539\) | 6.12849e11 | − | 1.11237e12i | 0.312755 | − | 0.567675i | ||||
\(540\) | −3.05382e11 | − | 1.76288e12i | −0.154551 | − | 0.892179i | ||||
\(541\) | 3.47779e11 | + | 6.02371e11i | 0.174548 | + | 0.302327i | 0.940005 | − | 0.341161i | \(-0.110820\pi\) |
−0.765457 | + | 0.643488i | \(0.777487\pi\) | |||||||
\(542\) | 9.48823e11 | − | 2.54236e11i | 0.472268 | − | 0.126544i | ||||
\(543\) | 1.86270e12 | − | 4.99108e11i | 0.919481 | − | 0.246374i | ||||
\(544\) | 3.33800e10 | + | 5.78158e10i | 0.0163415 | + | 0.0283042i | ||||
\(545\) | −1.36979e12 | − | 9.65289e11i | −0.665074 | − | 0.468676i | ||||
\(546\) | −1.74765e11 | − | 1.71299e11i | −0.0841567 | − | 0.0824874i | ||||
\(547\) | 2.15129e12 | − | 2.15129e12i | 1.02744 | − | 1.02744i | 0.0278237 | − | 0.999613i | \(-0.491142\pi\) |
0.999613 | − | 0.0278237i | \(-0.00885771\pi\) | |||||||
\(548\) | −4.81499e11 | + | 1.79698e12i | −0.228078 | + | 0.851197i | ||||
\(549\) | −6.03418e11 | + | 1.04515e12i | −0.283493 | + | 0.491025i | ||||
\(550\) | −3.17034e11 | + | 2.19161e11i | −0.147732 | + | 0.102125i | ||||
\(551\) | −4.94305e12 | + | 2.85387e12i | −2.28462 | + | 1.31902i | ||||
\(552\) | −2.23499e11 | − | 2.23499e11i | −0.102459 | − | 0.102459i | ||||
\(553\) | 1.91667e11 | − | 1.13234e11i | 0.0871535 | − | 0.0514889i | ||||
\(554\) | 6.54707e11i | 0.295293i | ||||||||
\(555\) | 4.21964e10 | − | 4.66160e11i | 0.0188780 | − | 0.208553i | ||||
\(556\) | −3.25022e10 | − | 1.87651e10i | −0.0144237 | − | 0.00832751i | ||||
\(557\) | −1.27804e11 | − | 4.76973e11i | −0.0562597 | − | 0.209964i | 0.932074 | − | 0.362268i | \(-0.117997\pi\) |
−0.988334 | + | 0.152304i | \(0.951331\pi\) | |||||||
\(558\) | −7.13115e11 | − | 1.91079e11i | −0.311391 | − | 0.0834369i | ||||
\(559\) | 9.65887e11 | 0.418382 | ||||||||
\(560\) | −7.74234e11 | − | 1.63041e12i | −0.332680 | − | 0.700569i | ||||
\(561\) | −3.96405e10 | −0.0168969 | ||||||||
\(562\) | 5.02552e11 | + | 1.34658e11i | 0.212504 | + | 0.0569403i | ||||
\(563\) | −5.34457e11 | − | 1.99462e12i | −0.224195 | − | 0.836706i | −0.982726 | − | 0.185069i | \(-0.940749\pi\) |
0.758531 | − | 0.651637i | \(-0.225917\pi\) | |||||||
\(564\) | −1.53369e12 | − | 8.85475e11i | −0.638235 | − | 0.368485i | ||||
\(565\) | −1.90037e12 | − | 2.27865e12i | −0.784549 | − | 0.940718i | ||||
\(566\) | 1.18240e12i | 0.484272i | ||||||||
\(567\) | −7.14865e10 | + | 1.26733e11i | −0.0290469 | + | 0.0514952i | ||||
\(568\) | 1.28832e12 | + | 1.28832e12i | 0.519346 | + | 0.519346i | ||||
\(569\) | 1.05636e10 | − | 6.09889e9i | 0.00422480 | − | 0.00243919i | −0.497886 | − | 0.867242i | \(-0.665890\pi\) |
0.502111 | + | 0.864803i | \(0.332557\pi\) | |||||||
\(570\) | 5.21272e11 | − | 2.41168e11i | 0.206836 | − | 0.0956934i | ||||
\(571\) | 1.66349e11 | − | 2.88125e11i | 0.0654873 | − | 0.113427i | −0.831423 | − | 0.555640i | \(-0.812473\pi\) |
0.896910 | + | 0.442213i | \(0.145806\pi\) | |||||||
\(572\) | 2.82674e11 | − | 1.05495e12i | 0.110409 | − | 0.412051i | ||||
\(573\) | −8.14651e11 | + | 8.14651e11i | −0.315701 | + | 0.315701i | ||||
\(574\) | −4.91761e10 | + | 1.91167e11i | −0.0189082 | + | 0.0735037i | ||||
\(575\) | −5.11438e11 | + | 1.07978e12i | −0.195114 | + | 0.411937i | ||||
\(576\) | −4.83582e11 | − | 8.37589e11i | −0.183050 | − | 0.317051i | ||||
\(577\) | 1.37266e12 | − | 3.67804e11i | 0.515553 | − | 0.138142i | 0.00834410 | − | 0.999965i | \(-0.497344\pi\) |
0.507209 | + | 0.861823i | \(0.330677\pi\) | |||||||
\(578\) | 7.16838e11 | − | 1.92076e11i | 0.267144 | − | 0.0715810i | ||||
\(579\) | 1.12768e12 | + | 1.95319e12i | 0.416995 | + | 0.722257i | ||||
\(580\) | 2.77314e12 | − | 3.93522e12i | 1.01753 | − | 1.44392i | ||||
\(581\) | −1.53361e12 | + | 1.56464e12i | −0.558370 | + | 0.569670i | ||||
\(582\) | 4.95136e11 | − | 4.95136e11i | 0.178884 | − | 0.178884i | ||||
\(583\) | −6.74469e11 | + | 2.51715e12i | −0.241799 | + | 0.902405i | ||||
\(584\) | −5.57430e11 | + | 9.65497e11i | −0.198304 | + | 0.343473i | ||||
\(585\) | −4.48607e11 | + | 1.22110e12i | −0.158367 | + | 0.431073i | ||||
\(586\) | 1.84509e11 | − | 1.06526e11i | 0.0646367 | − | 0.0373180i | ||||
\(587\) | −2.56314e12 | − | 2.56314e12i | −0.891047 | − | 0.891047i | 0.103575 | − | 0.994622i | \(-0.466972\pi\) |
−0.994622 | + | 0.103575i | \(0.966972\pi\) | |||||||
\(588\) | 3.82190e11 | − | 1.54991e12i | 0.131850 | − | 0.534697i | ||||
\(589\) | 7.27345e12i | 2.49013i | ||||||||
\(590\) | −8.01263e11 | + | 6.68244e11i | −0.272233 | + | 0.227039i | ||||
\(591\) | 7.09877e11 | + | 4.09848e11i | 0.239353 | + | 0.138191i | ||||
\(592\) | −2.10581e11 | − | 7.85899e11i | −0.0704647 | − | 0.262978i | ||||
\(593\) | 2.52518e12 | + | 6.76620e11i | 0.838584 | + | 0.224698i | 0.652455 | − | 0.757827i | \(-0.273739\pi\) |
0.186129 | + | 0.982525i | \(0.440406\pi\) | |||||||
\(594\) | −5.34442e11 | −0.176141 | ||||||||
\(595\) | 1.31418e11 | − | 2.41236e10i | 0.0429860 | − | 0.00789070i | ||||
\(596\) | 2.83421e12 | 0.920075 | ||||||||
\(597\) | 2.05057e11 | + | 5.49448e10i | 0.0660678 | + | 0.0177028i | ||||
\(598\) | 7.28800e10 | + | 2.71992e11i | 0.0233052 | + | 0.0869763i | ||||
\(599\) | 3.70542e12 | + | 2.13932e12i | 1.17603 | + | 0.678979i | 0.955092 | − | 0.296310i | \(-0.0957562\pi\) |
0.220934 | + | 0.975289i | \(0.429090\pi\) | |||||||
\(600\) | −6.53317e11 | + | 7.69152e11i | −0.205799 | + | 0.242288i | ||||
\(601\) | 1.96323e12i | 0.613812i | 0.951740 | + | 0.306906i | \(0.0992937\pi\) | ||||
−0.951740 | + | 0.306906i | \(0.900706\pi\) | |||||||
\(602\) | −2.66542e11 | − | 4.51166e11i | −0.0827144 | − | 0.140008i | ||||
\(603\) | 1.22098e12 | + | 1.22098e12i | 0.376080 | + | 0.376080i | ||||
\(604\) | −3.44400e12 | + | 1.98839e12i | −1.05292 | + | 0.607905i | ||||
\(605\) | 8.02439e11 | + | 1.73443e12i | 0.243508 | + | 0.526330i | ||||
\(606\) | 9.18954e10 | − | 1.59167e11i | 0.0276800 | − | 0.0479432i | ||||
\(607\) | −4.48162e10 | + | 1.67256e11i | −0.0133994 | + | 0.0500073i | −0.972302 | − | 0.233729i | \(-0.924907\pi\) |
0.958902 | + | 0.283736i | \(0.0915739\pi\) | |||||||
\(608\) | 2.45663e12 | − | 2.45663e12i | 0.729076 | − | 0.729076i | ||||
\(609\) | 3.73204e12 | − | 1.04017e12i | 1.09943 | − | 0.306427i | ||||
\(610\) | 8.21805e11 | − | 1.42360e11i | 0.240317 | − | 0.0416298i | ||||
\(611\) | 1.64332e12 | + | 2.84632e12i | 0.477020 | + | 0.826224i | ||||
\(612\) | 8.71270e10 | − | 2.33456e10i | 0.0251056 | − | 0.00672704i | ||||
\(613\) | 2.89776e12 | − | 7.76452e11i | 0.828876 | − | 0.222097i | 0.180653 | − | 0.983547i | \(-0.442179\pi\) |
0.648223 | + | 0.761450i | \(0.275512\pi\) | |||||||
\(614\) | −3.92956e10 | − | 6.80620e10i | −0.0111580 | − | 0.0193262i | ||||
\(615\) | −5.71124e11 | + | 9.89350e10i | −0.160988 | + | 0.0278877i | ||||
\(616\) | −1.18902e12 | + | 3.31397e11i | −0.332718 | + | 0.0927333i | ||||
\(617\) | −1.83960e12 | + | 1.83960e12i | −0.511024 | + | 0.511024i | −0.914840 | − | 0.403816i | \(-0.867683\pi\) |
0.403816 | + | 0.914840i | \(0.367683\pi\) | |||||||
\(618\) | −1.65409e11 | + | 6.17314e11i | −0.0456153 | + | 0.170239i | ||||
\(619\) | 1.51261e12 | − | 2.61992e12i | 0.414114 | − | 0.717266i | −0.581221 | − | 0.813745i | \(-0.697425\pi\) |
0.995335 | + | 0.0964797i | \(0.0307583\pi\) | |||||||
\(620\) | −2.57593e12 | − | 5.56774e12i | −0.700118 | − | 1.51327i | ||||
\(621\) | −1.43481e12 | + | 8.28386e11i | −0.387152 | + | 0.223522i | ||||
\(622\) | −9.69814e9 | − | 9.69814e9i | −0.00259795 | − | 0.00259795i | ||||
\(623\) | 2.06970e11 | + | 3.50331e11i | 0.0550442 | + | 0.0931714i | ||||
\(624\) | − | 1.24912e12i | − | 0.329817i | ||||||
\(625\) | 3.56869e12 | + | 1.34772e12i | 0.935512 | + | 0.353296i | ||||
\(626\) | −1.27103e12 | − | 7.33828e11i | −0.330804 | − | 0.190990i | ||||
\(627\) | 5.33917e11 | + | 1.99261e12i | 0.137965 | + | 0.514894i | ||||
\(628\) | 1.53431e12 | + | 4.11117e11i | 0.393636 | + | 0.105474i | ||||
\(629\) | 6.02308e10 | 0.0153423 | ||||||||
\(630\) | 6.94173e11 | − | 1.27425e11i | 0.175564 | − | 0.0322273i | ||||
\(631\) | −4.44649e12 | −1.11657 | −0.558284 | − | 0.829650i | \(-0.688540\pi\) | ||||
−0.558284 | + | 0.829650i | \(0.688540\pi\) | |||||||
\(632\) | −2.08990e11 | − | 5.59988e10i | −0.0521074 | − | 0.0139621i | ||||
\(633\) | 2.71358e11 | + | 1.01272e12i | 0.0671778 | + | 0.250711i | ||||
\(634\) | −1.61576e12 | − | 9.32862e11i | −0.397170 | − | 0.229306i | ||||
\(635\) | −3.58517e12 | + | 2.98999e12i | −0.875039 | + | 0.729773i | ||||
\(636\) | 3.27551e12i | 0.793821i | ||||||||
\(637\) | −2.05248e12 | + | 2.13641e12i | −0.493913 | + | 0.514110i | ||||
\(638\) | −1.01686e12 | − | 1.01686e12i | −0.242979 | − | 0.242979i | ||||
\(639\) | 3.24038e12 | − | 1.87083e12i | 0.768850 | − | 0.443896i | ||||
\(640\) | −1.32503e12 | + | 3.60671e12i | −0.312188 | + | 0.849771i | ||||
\(641\) | 3.63629e12 | − | 6.29823e12i | 0.850740 | − | 1.47353i | −0.0298010 | − | 0.999556i | \(-0.509487\pi\) |
0.880541 | − | 0.473970i | \(-0.157179\pi\) | |||||||
\(642\) | 1.75007e11 | − | 6.53137e11i | 0.0406583 | − | 0.151739i | ||||
\(643\) | −3.24579e12 | + | 3.24579e12i | −0.748809 | + | 0.748809i | −0.974256 | − | 0.225446i | \(-0.927616\pi\) |
0.225446 | + | 0.974256i | \(0.427616\pi\) | |||||||
\(644\) | −1.28577e12 | + | 1.31179e12i | −0.294562 | + | 0.300523i | ||||
\(645\) | 8.86383e11 | − | 1.25782e12i | 0.201652 | − | 0.286154i | ||||
\(646\) | 3.69542e10 | + | 6.40065e10i | 0.00834866 | + | 0.0144603i | ||||
\(647\) | 3.97352e12 | − | 1.06470e12i | 0.891468 | − | 0.238868i | 0.216120 | − | 0.976367i | \(-0.430660\pi\) |
0.675349 | + | 0.737499i | \(0.263993\pi\) | |||||||
\(648\) | 1.36598e11 | − | 3.66014e10i | 0.0304339 | − | 0.00815474i | ||||
\(649\) | −1.87368e12 | − | 3.24530e12i | −0.414566 | − | 0.718049i | ||||
\(650\) | 8.46666e11 | − | 3.02408e11i | 0.186038 | − | 0.0664483i | ||||
\(651\) | 1.22997e12 | − | 4.78138e12i | 0.268398 | − | 1.04337i | ||||
\(652\) | 1.86877e12 | − | 1.86877e12i | 0.404988 | − | 0.404988i | ||||
\(653\) | −8.31481e11 | + | 3.10313e12i | −0.178955 | + | 0.667868i | 0.816890 | + | 0.576794i | \(0.195697\pi\) |
−0.995844 | + | 0.0910737i | \(0.970970\pi\) | |||||||
\(654\) | −3.14591e11 | + | 5.44888e11i | −0.0672430 | + | 0.116468i | ||||
\(655\) | −2.05577e12 | + | 9.51108e11i | −0.436405 | + | 0.201904i | ||||
\(656\) | −8.72563e11 | + | 5.03775e11i | −0.183963 | + | 0.106211i | ||||
\(657\) | 1.61894e12 | + | 1.61894e12i | 0.338990 | + | 0.338990i | ||||
\(658\) | 8.76032e11 | − | 1.55305e12i | 0.182181 | − | 0.322976i | ||||
\(659\) | 3.51029e12i | 0.725035i | 0.931977 | + | 0.362517i | \(0.118083\pi\) | ||||
−0.931977 | + | 0.362517i | \(0.881917\pi\) | |||||||
\(660\) | −1.11440e12 | − | 1.33623e12i | −0.228609 | − | 0.274115i | ||||
\(661\) | −6.14805e12 | − | 3.54958e12i | −1.25265 | − | 0.723220i | −0.281017 | − | 0.959703i | \(-0.590672\pi\) |
−0.971636 | + | 0.236483i | \(0.924005\pi\) | |||||||
\(662\) | 5.82314e11 | + | 2.17323e12i | 0.117841 | + | 0.439789i | ||||
\(663\) | 8.93189e10 | + | 2.39329e10i | 0.0179528 | + | 0.00481044i | ||||
\(664\) | 2.12935e12 | 0.425100 | ||||||||
\(665\) | −2.98268e12 | − | 6.28104e12i | −0.591438 | − | 1.24547i | ||||
\(666\) | 3.18151e11 | 0.0626612 | ||||||||
\(667\) | −4.30610e12 | − | 1.15382e12i | −0.842398 | − | 0.225720i | ||||
\(668\) | −1.31051e11 | − | 4.89088e11i | −0.0254651 | − | 0.0950370i | ||||
\(669\) | −2.01905e9 | − | 1.16570e9i | −0.000389699 | − | 0.000224993i | ||||
\(670\) | 1.07580e11 | − | 1.18848e12i | 0.0206251 | − | 0.227854i | ||||
\(671\) | 2.99561e12i | 0.570471i | ||||||||
\(672\) | −2.03035e12 | + | 1.19950e12i | −0.384069 | + | 0.226902i | ||||
\(673\) | −5.31516e12 | − | 5.31516e12i | −0.998730 | − | 0.998730i | 0.00126883 | − | 0.999999i | \(-0.499596\pi\) |
−0.999999 | + | 0.00126883i | \(0.999596\pi\) | |||||||
\(674\) | 1.68502e12 | − | 9.72847e11i | 0.314511 | − | 0.181583i | ||||
\(675\) | 3.00797e12 | + | 4.35128e12i | 0.557707 | + | 0.806770i | ||||
\(676\) | 1.23245e12 | − | 2.13467e12i | 0.226992 | − | 0.393161i | ||||
\(677\) | 5.45308e11 | − | 2.03512e12i | 0.0997683 | − | 0.372340i | −0.897931 | − | 0.440136i | \(-0.854930\pi\) |
0.997699 | + | 0.0677961i | \(0.0215967\pi\) | |||||||
\(678\) | −7.87745e11 | + | 7.87745e11i | −0.143170 | + | 0.143170i | ||||
\(679\) | −6.05395e12 | − | 5.93386e12i | −1.09301 | − | 1.07133i | ||||
\(680\) | −1.06150e11 | − | 7.48039e10i | −0.0190384 | − | 0.0134163i | ||||
\(681\) | 1.15469e12 | + | 1.99998e12i | 0.205732 | + | 0.356339i | ||||
\(682\) | −1.77010e12 | + | 4.74296e11i | −0.313305 | + | 0.0839498i | ||||
\(683\) | 2.51579e12 | − | 6.74105e11i | 0.442366 | − | 0.118532i | −0.0307592 | − | 0.999527i | \(-0.509793\pi\) |
0.473125 | + | 0.880995i | \(0.343126\pi\) | |||||||
\(684\) | −2.34702e12 | − | 4.06516e12i | −0.409982 | − | 0.710109i | ||||
\(685\) | −9.38835e11 | − | 5.41963e12i | −0.162923 | − | 0.940508i | ||||
\(686\) | 1.56431e12 | + | 3.69159e11i | 0.269689 | + | 0.0636437i | ||||
\(687\) | −3.45144e11 | + | 3.45144e11i | −0.0591147 | + | 0.0591147i | ||||
\(688\) | 6.92282e11 | − | 2.58363e12i | 0.117797 | − | 0.439625i | ||||
\(689\) | 3.03946e12 | − | 5.26449e12i | 0.513818 | − | 0.889959i | ||||
\(690\) | 4.21081e11 | + | 1.54696e11i | 0.0707204 | + | 0.0259812i | ||||
\(691\) | −2.94124e12 | + | 1.69812e12i | −0.490771 | + | 0.283347i | −0.724894 | − | 0.688860i | \(-0.758111\pi\) |
0.234123 | + | 0.972207i | \(0.424778\pi\) | |||||||
\(692\) | 6.00142e12 | + | 6.00142e12i | 0.994894 | + | 0.994894i | ||||
\(693\) | 2.53913e10 | + | 2.53477e12i | 0.00418201 | + | 0.417483i | ||||
\(694\) | − | 2.84082e12i | − | 0.464864i | ||||||
\(695\) | 1.10510e11 | + | 1.00032e10i | 0.0179668 | + | 0.00162633i | ||||
\(696\) | −3.26096e12 | − | 1.88272e12i | −0.526750 | − | 0.304119i | ||||
\(697\) | −1.93045e10 | − | 7.20454e10i | −0.00309821 | − | 0.0115627i | ||||
\(698\) | −5.86257e11 | − | 1.57087e11i | −0.0934842 | − | 0.0250490i | ||||
\(699\) | −5.08336e12 | −0.805385 | ||||||||
\(700\) | 4.50767e12 | + | 3.75173e12i | 0.709596 | + | 0.590596i | ||||
\(701\) | 8.69134e12 | 1.35943 | 0.679713 | − | 0.733478i | \(-0.262104\pi\) | ||||
0.679713 | + | 0.733478i | \(0.262104\pi\) | |||||||
\(702\) | 1.20421e12 | + | 3.22668e11i | 0.187149 | + | 0.0501463i | ||||
\(703\) | −8.11247e11 | − | 3.02762e12i | −0.125272 | − | 0.467522i | ||||
\(704\) | −2.07906e12 | − | 1.20035e12i | −0.319000 | − | 0.184175i | ||||
\(705\) | 5.21465e12 | + | 4.72025e11i | 0.795013 | + | 0.0719638i | ||||
\(706\) | − | 2.18645e12i | − | 0.331221i | ||||||
\(707\) | −1.93795e12 | − | 1.09314e12i | −0.291713 | − | 0.164547i | ||||
\(708\) | −3.33060e12 | − | 3.33060e12i | −0.498165 | − | 0.498165i | ||||
\(709\) | 7.10831e12 | − | 4.10398e12i | 1.05647 | − | 0.609955i | 0.132018 | − | 0.991247i | \(-0.457854\pi\) |
0.924454 | + | 0.381292i | \(0.124521\pi\) | |||||||
\(710\) | −2.42725e12 | − | 8.91720e11i | −0.358469 | − | 0.131694i | ||||
\(711\) | −2.22166e11 | + | 3.84803e11i | −0.0326035 | + | 0.0564710i | ||||
\(712\) | 1.02355e11 | − | 3.81994e11i | 0.0149262 | − | 0.0557053i | ||||
\(713\) | −4.01699e12 | + | 4.01699e12i | −0.582100 | + | 0.582100i | ||||
\(714\) | −1.34690e10 | − | 4.83253e10i | −0.00193951 | − | 0.00695877i | ||||
\(715\) | 5.51163e11 | + | 3.18171e12i | 0.0788684 | + | 0.455285i | ||||
\(716\) | 3.92197e11 | + | 6.79305e11i | 0.0557693 | + | 0.0965953i | ||||
\(717\) | −2.68730e12 | + | 7.20060e11i | −0.379734 | + | 0.101750i | ||||
\(718\) | −1.34959e12 | + | 3.61621e11i | −0.189514 | + | 0.0507802i | ||||
\(719\) | 3.76974e12 | + | 6.52938e12i | 0.526055 | + | 0.911154i | 0.999539 | + | 0.0303520i | \(0.00966284\pi\) |
−0.473484 | + | 0.880802i | \(0.657004\pi\) | |||||||
\(720\) | 2.94477e12 | + | 2.07517e12i | 0.408371 | + | 0.287778i | ||||
\(721\) | 7.49299e12 | + | 1.92751e12i | 1.03263 | + | 0.265636i | ||||
\(722\) | 1.28902e12 | − | 1.28902e12i | 0.176539 | − | 0.176539i | ||||
\(723\) | 1.12460e12 | − | 4.19706e12i | 0.153065 | − | 0.571246i | ||||
\(724\) | −5.44596e12 | + | 9.43269e12i | −0.736633 | + | 1.27589i | ||||
\(725\) | −2.55587e12 | + | 1.40022e13i | −0.343572 | + | 1.88224i | ||||
\(726\) | 6.21405e11 | − | 3.58768e11i | 0.0830157 | − | 0.0479291i | ||||
\(727\) | −6.95723e12 | − | 6.95723e12i | −0.923701 | − | 0.923701i | 0.0735879 | − | 0.997289i | \(-0.476555\pi\) |
−0.997289 | + | 0.0735879i | \(0.976555\pi\) | |||||||
\(728\) | 2.87920e12 | − | 2.88415e10i | 0.379910 | − | 0.00380563i | ||||
\(729\) | 4.17091e12i | 0.546961i | ||||||||
\(730\) | 1.42644e11 | − | 1.57585e12i | 0.0185910 | − | 0.205382i | ||||
\(731\) | 1.71480e11 | + | 9.90040e10i | 0.0222119 | + | 0.0128240i | ||||
\(732\) | 9.74529e11 | + | 3.63699e12i | 0.125457 | + | 0.468212i | ||||
\(733\) | −4.58336e12 | − | 1.22811e12i | −0.586430 | − | 0.157133i | −0.0466090 | − | 0.998913i | \(-0.514841\pi\) |
−0.539821 | + | 0.841780i | \(0.681508\pi\) | |||||||
\(734\) | −5.77134e11 | −0.0733913 | ||||||||
\(735\) | 8.98588e11 | + | 4.63338e12i | 0.113571 | + | 0.585605i | ||||
\(736\) | 2.71350e12 | 0.340863 | ||||||||
\(737\) | 4.14004e12 | + | 1.10932e12i | 0.516893 | + | 0.138501i | ||||
\(738\) | −1.01970e11 | − | 3.80557e11i | −0.0126537 | − | 0.0472244i | ||||
\(739\) | −5.40813e12 | − | 3.12238e12i | −0.667032 | − | 0.385111i | 0.127919 | − | 0.991785i | \(-0.459170\pi\) |
−0.794951 | + | 0.606673i | \(0.792504\pi\) | |||||||
\(740\) | 1.69325e12 | + | 2.03030e12i | 0.207576 | + | 0.248896i | ||||
\(741\) | − | 4.81213e12i | − | 0.586348i | ||||||
\(742\) | −3.29780e12 | + | 3.30347e10i | −0.399399 | + | 0.00400085i | ||||
\(743\) | 1.89917e12 | + | 1.89917e12i | 0.228620 | + | 0.228620i | 0.812116 | − | 0.583496i | \(-0.198316\pi\) |
−0.583496 | + | 0.812116i | \(0.698316\pi\) | |||||||
\(744\) | −4.15548e12 | + | 2.39917e12i | −0.497214 | + | 0.287067i | ||||
\(745\) | −7.60510e12 | + | 3.51852e12i | −0.904485 | + | 0.418462i | ||||
\(746\) | −6.59481e11 | + | 1.14225e12i | −0.0779610 | + | 0.135032i | ||||
\(747\) | 1.13180e12 | − | 4.22394e12i | 0.132992 | − | 0.496335i | ||||
\(748\) | 1.58318e11 | − | 1.58318e11i | 0.0184916 | − | 0.0184916i | ||||
\(749\) | −7.92781e12 | − | 2.03936e12i | −0.920417 | − | 0.236770i | ||||
\(750\) | 3.83166e11 | − | 1.38008e12i | 0.0442193 | − | 0.159268i | ||||
\(751\) | −6.43190e12 | − | 1.11404e13i | −0.737836 | − | 1.27797i | −0.953468 | − | 0.301495i | \(-0.902515\pi\) |
0.215632 | − | 0.976475i | \(-0.430819\pi\) | |||||||
\(752\) | 8.79137e12 | − | 2.35564e12i | 1.00248 | − | 0.268614i | ||||
\(753\) | 4.40419e12 | − | 1.18010e12i | 0.499216 | − | 0.133764i | ||||
\(754\) | 1.67729e12 | + | 2.90515e12i | 0.188989 | + | 0.327338i | ||||
\(755\) | 6.77288e12 | − | 9.61104e12i | 0.758599 | − | 1.07649i | ||||
\(756\) | 2.18341e12 | + | 7.83385e12i | 0.243101 | + | 0.872222i | ||||
\(757\) | −8.48245e12 | + | 8.48245e12i | −0.938837 | + | 0.938837i | −0.998234 | − | 0.0593979i | \(-0.981082\pi\) |
0.0593979 | + | 0.998234i | \(0.481082\pi\) | |||||||
\(758\) | −5.24060e11 | + | 1.95582e12i | −0.0576593 | + | 0.215188i | ||||
\(759\) | −8.05607e11 | + | 1.39535e12i | −0.0881120 | + | 0.152614i | ||||
\(760\) | −2.33042e12 | + | 6.34338e12i | −0.253381 | + | 0.689699i | ||||
\(761\) | 1.32422e13 | − | 7.64538e12i | 1.43129 | − | 0.826357i | 0.434073 | − | 0.900878i | \(-0.357076\pi\) |
0.997220 | + | 0.0745202i | \(0.0237425\pi\) | |||||||
\(762\) | 1.23942e12 | + | 1.23942e12i | 0.133174 | + | 0.133174i | ||||
\(763\) | 6.63432e12 | + | 3.74223e12i | 0.708657 | + | 0.399733i | ||||
\(764\) | − | 6.50718e12i | − | 0.690991i | ||||||
\(765\) | −2.04808e11 | + | 1.70807e11i | −0.0216207 | + | 0.0180314i | ||||
\(766\) | 1.89114e12 | + | 1.09185e12i | 0.198469 | + | 0.114586i | ||||
\(767\) | 2.26246e12 | + | 8.44361e12i | 0.236049 | + | 0.880945i | ||||
\(768\) | −1.76358e12 | − | 4.72551e11i | −0.182924 | − | 0.0490144i | ||||
\(769\) | 7.14188e12 | 0.736451 | 0.368226 | − | 0.929736i | \(-0.379965\pi\) | ||||
0.368226 | + | 0.929736i | \(0.379965\pi\) | |||||||
\(770\) | 1.33408e12 | − | 1.13546e12i | 0.136765 | − | 0.116403i | ||||
\(771\) | 2.34051e12 | 0.238542 | ||||||||
\(772\) | −1.23045e13 | − | 3.29699e12i | −1.24677 | − | 0.334072i | ||||
\(773\) | −1.88672e12 | − | 7.04134e12i | −0.190064 | − | 0.709329i | −0.993490 | − | 0.113923i | \(-0.963658\pi\) |
0.803425 | − | 0.595405i | \(-0.203009\pi\) | |||||||
\(774\) | 9.05789e11 | + | 5.22958e11i | 0.0907179 | + | 0.0523760i | ||||
\(775\) | 1.38241e13 | + | 1.17422e13i | 1.37651 | + | 1.16921i | ||||
\(776\) | 8.23893e12i | 0.815629i | ||||||||
\(777\) | 2.13112e10 | + | 2.12746e12i | 0.00209755 | + | 0.209395i | ||||
\(778\) | 1.81463e12 | + | 1.81463e12i | 0.177575 | + | 0.177575i | ||||
\(779\) | −3.36148e12 | + | 1.94075e12i | −0.327049 | + | 0.188822i | ||||
\(780\) | 1.70424e12 | + | 3.68363e12i | 0.164856 | + | 0.356329i | ||||
\(781\) | 4.64378e12 | − | 8.04327e12i | 0.446624 | − | 0.773576i | ||||
\(782\) | −1.49405e10 | + | 5.57587e10i | −0.00142868 | + | 0.00533190i | ||||
\(783\) | −1.39564e13 | + | 1.39564e13i | −1.32692 | + | 1.32692i | ||||
\(784\) | 4.24355e12 | + | 7.02135e12i | 0.401150 | + | 0.663741i | ||||
\(785\) | −4.62744e12 | + | 8.01604e11i | −0.434938 | + | 0.0753436i | ||||
\(786\) | 4.25238e11 | + | 7.36535e11i | 0.0397403 | + | 0.0688322i | ||||
\(787\) | 1.81498e13 | − | 4.86323e12i | 1.68650 | − | 0.451896i | 0.717016 | − | 0.697057i | \(-0.245507\pi\) |
0.969482 | + | 0.245161i | \(0.0788408\pi\) | |||||||
\(788\) | −4.47201e12 | + | 1.19827e12i | −0.413175 | + | 0.110710i | ||||
\(789\) | 1.46086e12 | + | 2.53028e12i | 0.134203 | + | 0.232446i | ||||
\(790\) | 3.02572e11 | − | 5.24141e10i | 0.0276380 | − | 0.00478769i | ||||
\(791\) | 9.63162e12 | + | 9.44057e12i | 0.874793 | + | 0.857441i | ||||
\(792\) | 1.74208e12 | − | 1.74208e12i | 0.157328 | − | 0.157328i | ||||
\(793\) | 1.80859e12 | − | 6.74977e12i | 0.162410 | − | 0.606121i | ||||
\(794\) | −1.83363e11 | + | 3.17595e11i | −0.0163727 | + | 0.0283584i | ||||
\(795\) | −4.06638e12 | − | 8.78927e12i | −0.361040 | − | 0.780370i | ||||
\(796\) | −1.03841e12 | + | 5.99524e11i | −0.0916766 | + | 0.0529295i | ||||
\(797\) | −9.09936e12 | − | 9.09936e12i | −0.798819 | − | 0.798819i | 0.184091 | − | 0.982909i | \(-0.441066\pi\) |
−0.982909 | + | 0.184091i | \(0.941066\pi\) | |||||||
\(798\) | −2.24775e12 | + | 1.32793e12i | −0.196216 | + | 0.115921i | ||||
\(799\) | 6.73765e11i | 0.0584855i | ||||||||
\(800\) | −7.03178e11 | − | 8.63509e12i | −0.0606960 | − | 0.745353i | ||||
\(801\) | −7.03347e11 | − | 4.06077e11i | −0.0603703 | − | 0.0348548i | ||||
\(802\) | 8.28831e11 | + | 3.09324e12i | 0.0707426 | + | 0.264015i | ||||
\(803\) | 5.48942e12 | + | 1.47089e12i | 0.465915 | + | 0.124842i | ||||
\(804\) | 5.38733e12 | 0.454696 | ||||||||
\(805\) | 1.82162e12 | − | 5.11618e12i | 0.152889 | − | 0.429402i | ||||
\(806\) | 4.27477e12 | 0.356784 | ||||||||
\(807\) | −1.51729e12 | − | 4.06558e11i | −0.125933 | − | 0.0337436i | ||||
\(808\) | 5.59694e11 | + | 2.08881e12i | 0.0461955 | + | 0.172404i | ||||
\(809\) | −1.37655e13 | − | 7.94749e12i | −1.12985 | − | 0.652321i | −0.185956 | − | 0.982558i | \(-0.559538\pi\) |
−0.943898 | + | 0.330237i | \(0.892871\pi\) | |||||||
\(810\) | −1.54140e11 | + | 1.28551e11i | −0.0125815 | + | 0.0104928i | ||||
\(811\) | − | 8.23210e12i | − | 0.668216i | −0.942535 | − | 0.334108i | \(-0.891565\pi\) | ||
0.942535 | − | 0.334108i | \(-0.108435\pi\) | |||||||
\(812\) | −1.07509e13 | + | 1.90595e13i | −0.867845 | + | 1.53854i | ||||
\(813\) | −9.27101e12 | − | 9.27101e12i | −0.744251 | − | 0.744251i | ||||
\(814\) | 6.83912e11 | − | 3.94857e11i | 0.0545997 | − | 0.0315232i | ||||
\(815\) | −2.69455e12 | + | 7.33451e12i | −0.213932 | + | 0.582321i | ||||
\(816\) | 1.28035e11 | − | 2.21764e11i | 0.0101094 | − | 0.0175099i | ||||
\(817\) | 2.66696e12 | − | 9.95324e12i | 0.209420 | − | 0.781565i | ||||
\(818\) | −2.06800e12 | + | 2.06800e12i | −0.161496 | + | 0.161496i | ||||
\(819\) | 1.47315e12 | − | 5.72672e12i | 0.114412 | − | 0.444763i | ||||
\(820\) | 1.88585e12 | − | 2.67611e12i | 0.145662 | − | 0.206701i | ||||
\(821\) | −2.01457e12 | − | 3.48933e12i | −0.154752 | − | 0.268039i | 0.778216 | − | 0.627996i | \(-0.216125\pi\) |
−0.932969 | + | 0.359957i | \(0.882791\pi\) | |||||||
\(822\) | −1.99482e12 | + | 5.34510e11i | −0.152398 | + | 0.0408350i | ||||
\(823\) | −2.03729e13 | + | 5.45890e12i | −1.54794 | + | 0.414769i | −0.928821 | − | 0.370530i | \(-0.879176\pi\) |
−0.619117 | + | 0.785299i | \(0.712509\pi\) | |||||||
\(824\) | −3.75978e12 | − | 6.51214e12i | −0.284113 | − | 0.492097i | ||||
\(825\) | 4.64915e12 | + | 2.20207e12i | 0.349407 | + | 0.165496i | ||||
\(826\) | 3.31968e12 | − | 3.38686e12i | 0.248134 | − | 0.253155i | ||||
\(827\) | 1.74099e12 | − | 1.74099e12i | 0.129426 | − | 0.129426i | −0.639426 | − | 0.768852i | \(-0.720828\pi\) |
0.768852 | + | 0.639426i | \(0.220828\pi\) | |||||||
\(828\) | 9.48896e11 | − | 3.54133e12i | 0.0701588 | − | 0.261836i | ||||
\(829\) | 6.02736e12 | − | 1.04397e13i | 0.443233 | − | 0.767702i | −0.554694 | − | 0.832054i | \(-0.687165\pi\) |
0.997927 | + | 0.0643522i | \(0.0204981\pi\) | |||||||
\(830\) | −2.74282e12 | + | 1.26897e12i | −0.200607 | + | 0.0928112i | ||||
\(831\) | 7.56795e12 | − | 4.36936e12i | 0.550521 | − | 0.317843i | ||||
\(832\) | 3.95988e12 | + | 3.95988e12i | 0.286502 | + | 0.286502i | ||||
\(833\) | −5.83371e11 | + | 1.68909e11i | −0.0419800 | + | 0.0121549i | ||||
\(834\) | − | 4.16622e10i | − | 0.00298192i | ||||||
\(835\) | 9.58829e11 | + | 1.14969e12i | 0.0682577 | + | 0.0818449i | ||||
\(836\) | −1.00905e13 | − | 5.82578e12i | −0.714474 | − | 0.412502i | ||||
\(837\) | 6.50968e12 | + | 2.42944e13i | 0.458453 | + | 1.71097i | ||||
\(838\) | 1.71387e10 | + | 4.59229e9i | 0.00120055 | + | 0.000321685i | ||||
\(839\) | 3.46989e12 | 0.241761 | 0.120881 | − | 0.992667i | \(-0.461428\pi\) | ||||
0.120881 | + | 0.992667i | \(0.461428\pi\) | |||||||
\(840\) | 2.60465e12 | − | 3.77589e12i | 0.180507 | − | 0.261675i | ||||
\(841\) | −3.86015e13 | −2.66086 | ||||||||
\(842\) | −4.20019e12 | − | 1.12544e12i | −0.287982 | − | 0.0771645i | ||||
\(843\) | −1.79735e12 | − | 6.70782e12i | −0.122577 | − | 0.457464i | ||||
\(844\) | −5.12842e12 | − | 2.96089e12i | −0.347890 | − | 0.200854i | ||||
\(845\) | −6.56991e11 | + | 7.25804e12i | −0.0443306 | + | 0.489738i | ||||
\(846\) | 3.55896e12i | 0.238867i | ||||||||
\(847\) | −4.41845e12 | − | 7.47895e12i | −0.294981 | − | 0.499304i | ||||
\(848\) | −1.19034e13 | − | 1.19034e13i | −0.790478 | − | 0.790478i | ||||
\(849\) | 1.36677e13 | − | 7.89103e12i | 0.902838 | − | 0.521254i | ||||
\(850\) | 1.81311e11 | + | 3.30954e10i | 0.0119135 | + | 0.00217461i | ||||
\(851\) | 1.22406e12 | − | 2.12013e12i | 0.0800054 | − | 0.138573i | ||||
\(852\) | 3.02142e12 | − | 1.12761e13i | 0.196442 | − | 0.733130i | ||||
\(853\) | 1.17980e12 | − | 1.17980e12i | 0.0763026 | − | 0.0763026i | −0.667926 | − | 0.744228i | \(-0.732818\pi\) |
0.744228 | + | 0.667926i | \(0.232818\pi\) | |||||||
\(854\) | −3.65191e12 | + | 1.01784e12i | −0.234941 | + | 0.0654816i | ||||
\(855\) | 1.13445e13 | + | 7.99445e12i | 0.726002 | + | 0.511612i | ||||
\(856\) | 3.97797e12 | + | 6.89004e12i | 0.253238 | + | 0.438621i | ||||
\(857\) | 2.51740e13 | − | 6.74536e12i | 1.59419 | − | 0.427161i | 0.650906 | − | 0.759158i | \(-0.274389\pi\) |
0.943281 | + | 0.331997i | \(0.107722\pi\) | |||||||
\(858\) | 1.17110e12 | − | 3.13795e11i | 0.0737737 | − | 0.0197676i | ||||
\(859\) | −5.00271e12 | − | 8.66496e12i | −0.313499 | − | 0.542997i | 0.665618 | − | 0.746293i | \(-0.268168\pi\) |
−0.979117 | + | 0.203296i | \(0.934835\pi\) | |||||||
\(860\) | 1.48346e12 | + | 8.56361e12i | 0.0924770 | + | 0.533844i | ||||
\(861\) | 2.53794e12 | − | 7.07361e11i | 0.157387 | − | 0.0438659i | ||||
\(862\) | −5.01724e12 | + | 5.01724e12i | −0.309515 | + | 0.309515i | ||||
\(863\) | −1.93480e11 | + | 7.22078e11i | −0.0118738 | + | 0.0443135i | −0.971609 | − | 0.236594i | \(-0.923969\pi\) |
0.959735 | + | 0.280908i | \(0.0906355\pi\) | |||||||
\(864\) | 6.00686e12 | − | 1.04042e13i | 0.366721 | − | 0.635179i | ||||
\(865\) | −2.35542e13 | − | 8.65332e12i | −1.43053 | − | 0.525546i | ||||
\(866\) | 4.52259e12 | − | 2.61112e12i | 0.273248 | − | 0.157760i | ||||
\(867\) | −7.00426e12 | − | 7.00426e12i | −0.420995 | − | 0.420995i | ||||
\(868\) | 1.41838e13 | + | 2.40084e13i | 0.848111 | + | 1.43557i | ||||
\(869\) | 1.10292e12i | 0.0656079i | ||||||||
\(870\) | 5.32243e12 | + | 4.81781e11i | 0.314973 | + | 0.0285111i | ||||
\(871\) | −8.65866e12 | − | 4.99908e12i | −0.509764 | − | 0.294312i | ||||
\(872\) | −1.91604e12 | − | 7.15074e12i | −0.112222 | − | 0.418820i | ||||
\(873\) | 1.63433e13 | + | 4.37918e12i | 0.952305 | + | 0.255169i | ||||
\(874\) | 3.00405e12 | 0.174143 | ||||||||
\(875\) | −1.67531e13 | − | 4.47109e12i | −0.966183 | − | 0.257856i | ||||
\(876\) | 7.14326e12 | 0.409853 | ||||||||
\(877\) | −1.05603e13 | − | 2.82963e12i | −0.602808 | − | 0.161522i | −0.0555076 | − | 0.998458i | \(-0.517678\pi\) |
−0.547300 | + | 0.836936i | \(0.684344\pi\) | |||||||
\(878\) | −1.67492e12 | − | 6.25090e12i | −0.0951196 | − | 0.354991i | ||||
\(879\) | −2.46274e12 | − | 1.42186e12i | −0.139145 | − | 0.0803356i | ||||
\(880\) | 8.90572e12 | + | 8.06137e11i | 0.500607 | + | 0.0453145i | ||||
\(881\) | 1.64269e13i | 0.918681i | 0.888260 | + | 0.459341i | \(0.151914\pi\) | ||||
−0.888260 | + | 0.459341i | \(0.848086\pi\) | |||||||
\(882\) | −3.08148e12 | + | 8.92211e11i | −0.171455 | + | 0.0496431i | ||||
\(883\) | 5.67686e12 | + | 5.67686e12i | 0.314257 | + | 0.314257i | 0.846556 | − | 0.532299i | \(-0.178672\pi\) |
−0.532299 | + | 0.846556i | \(0.678672\pi\) | |||||||
\(884\) | −4.52310e11 | + | 2.61141e11i | −0.0249116 | + | 0.0143827i | ||||
\(885\) | 1.30719e13 | + | 4.80233e12i | 0.716297 | + | 0.263152i | ||||
\(886\) | −3.17675e12 | + | 5.50229e12i | −0.173193 | + | 0.299979i | ||||
\(887\) | −1.81783e12 | + | 6.78424e12i | −0.0986047 | + | 0.367998i | −0.997541 | − | 0.0700810i | \(-0.977674\pi\) |
0.898937 | + | 0.438079i | \(0.144341\pi\) | |||||||
\(888\) | 1.46215e12 | − | 1.46215e12i | 0.0789104 | − | 0.0789104i | ||||
\(889\) | 1.48535e13 | − | 1.51541e13i | 0.797576 | − | 0.813717i | ||||
\(890\) | 9.58030e10 | + | 5.53044e11i | 0.00511828 | + | 0.0295464i | ||||
\(891\) | −3.60441e11 | − | 6.24302e11i | −0.0191595 | − | 0.0331852i | ||||
\(892\) | 1.27194e10 | − | 3.40815e9i | 0.000672704 | − | 0.000180251i | ||||
\(893\) | 3.38681e13 | − | 9.07493e12i | 1.78221 | − | 0.477542i | ||||
\(894\) | 1.57312e12 | + | 2.72473e12i | 0.0823651 | + | 0.142661i | ||||
\(895\) | −1.89571e12 | − | 1.33590e12i | −0.0987572 | − | 0.0695940i | ||||
\(896\) | 4.35118e12 | − | 1.69148e13i | 0.225539 | − | 0.876758i | ||||
\(897\) | 2.65765e12 | − | 2.65765e12i | 0.137067 | − | 0.137067i | ||||
\(898\) | −9.33660e10 | + | 3.48447e11i | −0.00479121 | + | 0.0178810i | ||||
\(899\) | −3.38384e13 | + | 5.86099e13i | −1.72779 | + | 2.99263i | ||||
\(900\) | −1.15154e13 | − | 2.10194e12i | −0.585041 | − | 0.106790i | ||||
\(901\) | 1.07923e12 | − | 6.23092e11i | 0.0545571 | − | 0.0314986i | ||||
\(902\) | −6.91510e11 | − | 6.91510e11i | −0.0347831 | − | 0.0347831i | ||||
\(903\) | −3.43632e12 | + | 6.09201e12i | −0.171988 | + | 0.304906i | ||||
\(904\) | − | 1.31079e13i | − | 0.652790i | ||||||
\(905\) | 2.90311e12 | − | 3.20718e13i | 0.143862 | − | 1.58930i | ||||
\(906\) | −3.82317e12 | − | 2.20731e12i | −0.188515 | − | 0.108839i | ||||
\(907\) | 1.03662e13 | + | 3.86873e13i | 0.508614 | + | 1.89817i | 0.433880 | + | 0.900971i | \(0.357144\pi\) |
0.0747346 | + | 0.997203i | \(0.476189\pi\) | |||||||
\(908\) | −1.25993e13 | − | 3.37596e12i | −0.615118 | − | 0.164820i | ||||
\(909\) | 4.44099e12 | 0.215746 | ||||||||
\(910\) | −3.69151e12 | + | 1.75299e12i | −0.178450 | + | 0.0847409i | ||||
\(911\) | −3.74604e12 | −0.180194 | −0.0900970 | − | 0.995933i | \(-0.528718\pi\) | ||||
−0.0900970 | + | 0.995933i | \(0.528718\pi\) | |||||||
\(912\) | −1.28719e13 | − | 3.44901e12i | −0.616119 | − | 0.165089i | ||||
\(913\) | −2.80936e12 | − | 1.04847e13i | −0.133810 | − | 0.499385i | ||||
\(914\) | 5.17944e11 | + | 2.99035e11i | 0.0245485 | + | 0.0141731i | ||||
\(915\) | −7.13011e12 | − | 8.54941e12i | −0.336280 | − | 0.403219i | ||||
\(916\) | − | 2.75691e12i | − | 0.129388i | ||||||
\(917\) | 8.86460e12 | − | 5.23706e12i | 0.413997 | − | 0.244583i | ||||
\(918\) | 1.80718e11 | + | 1.80718e11i | 0.00839865 | + | 0.00839865i | ||||
\(919\) | −9.77955e12 | + | 5.64623e12i | −0.452271 | + | 0.261119i | −0.708789 | − | 0.705421i | \(-0.750758\pi\) |
0.256518 | + | 0.966540i | \(0.417425\pi\) | |||||||
\(920\) | −4.79038e12 | + | 2.21628e12i | −0.220458 | + | 0.101995i | ||||
\(921\) | −5.24499e11 | + | 9.08459e11i | −0.0240202 | + | 0.0416042i | ||||
\(922\) | −9.08770e10 | + | 3.39157e11i | −0.00414157 | + | 0.0154565i | ||||
\(923\) | −1.53196e13 | + | 1.53196e13i | −0.694767 | + | 0.694767i | ||||
\(924\) | 5.64810e12 | + | 5.53607e12i | 0.254905 | + | 0.249849i | ||||
\(925\) | −7.06404e12 | − | 3.34587e12i | −0.317260 | − | 0.150270i | ||||
\(926\) | −5.07755e12 | − | 8.79458e12i | −0.226937 | − | 0.393066i | ||||
\(927\) | −1.49163e13 | + | 3.99682e12i | −0.663443 | + | 0.177769i | ||||
\(928\) | 3.12247e13 | − | 8.36663e12i | 1.38208 | − | 0.370326i | ||||
\(929\) | 1.06673e13 | + | 1.84763e13i | 0.469876 | + | 0.813849i | 0.999407 | − | 0.0344417i | \(-0.0109653\pi\) |
−0.529531 | + | 0.848291i | \(0.677632\pi\) | |||||||
\(930\) | 3.92290e12 | − | 5.56679e12i | 0.171963 | − | 0.244023i | ||||
\(931\) | 1.63480e13 | + | 2.70492e13i | 0.713165 | + | 1.18000i | ||||
\(932\) | 2.03021e13 | − | 2.03021e13i | 0.881394 | − | 0.881394i | ||||
\(933\) | −4.73805e10 | + | 1.76827e11i | −0.00204707 | + | 0.00763977i | ||||
\(934\) | −2.73132e12 | + | 4.73079e12i | −0.117439 | + | 0.203410i | ||||
\(935\) | −2.28276e11 | + | 6.21363e11i | −0.00976804 | + | 0.0265885i | ||||
\(936\) | −4.97708e12 | + | 2.87352e12i | −0.211950 | + | 0.122369i | ||||
\(937\) | −2.03074e13 | − | 2.03074e13i | −0.860650 | − | 0.860650i | 0.130764 | − | 0.991414i | \(-0.458257\pi\) |
−0.991414 | + | 0.130764i | \(0.958257\pi\) | |||||||
\(938\) | 5.43331e10 | + | 5.42399e12i | 0.00229167 | + | 0.228774i | ||||
\(939\) | 1.95896e13i | 0.822299i | ||||||||
\(940\) | −2.27117e13 | + | 1.89413e13i | −0.948799 | + | 0.791288i | ||||
\(941\) | −1.28151e13 | − | 7.39878e12i | −0.532804 | − | 0.307614i | 0.209354 | − | 0.977840i | \(-0.432864\pi\) |
−0.742157 | + | 0.670226i | \(0.766197\pi\) | |||||||
\(942\) | 4.56380e11 | + | 1.70323e12i | 0.0188842 | + | 0.0704766i | ||||
\(943\) | −2.92833e12 | − | 7.84643e11i | −0.120592 | − | 0.0323124i | ||||
\(944\) | 2.42072e13 | 0.992135 | ||||||||
\(945\) | −1.55841e13 | − | 1.83102e13i | −0.635680 | − | 0.746878i | ||||
\(946\) | 2.59617e12 | 0.105396 | ||||||||
\(947\) | 4.39239e13 | + | 1.17694e13i | 1.77470 | + | 0.475530i | 0.989602 | − | 0.143836i | \(-0.0459438\pi\) |
0.785102 | + | 0.619366i | \(0.212610\pi\) | |||||||
\(948\) | 3.58802e11 | + | 1.33907e12i | 0.0144284 | + | 0.0538474i | ||||
\(949\) | −1.14808e13 | − | 6.62846e12i | −0.459489 | − | 0.265286i | ||||
\(950\) | −7.78471e11 | − | 9.55970e12i | −0.0310089 | − | 0.380792i | ||||
\(951\) | 2.49028e13i | 0.987269i | ||||||||
\(952\) | 5.14119e11 | + | 2.90000e11i | 0.0202861 | + | 0.0114428i | ||||
\(953\) | 2.09083e13 | + | 2.09083e13i | 0.821109 | + | 0.821109i | 0.986267 | − | 0.165158i | \(-0.0528134\pi\) |
−0.165158 | + | 0.986267i | \(0.552813\pi\) | |||||||
\(954\) | 5.70068e12 | − | 3.29129e12i | 0.222823 | − | 0.128647i | ||||
\(955\) | 8.07832e12 | + | 1.74609e13i | 0.314272 | + | 0.679283i | ||||
\(956\) | 7.85686e12 | − | 1.36085e13i | 0.304220 | − | 0.526925i | ||||
\(957\) | −4.96792e12 | + | 1.85405e13i | −0.191457 | + | 0.714526i | ||||
\(958\) | 3.44591e12 | − | 3.44591e12i | 0.132178 | − | 0.132178i | ||||
\(959\) | 6.71244e12 | + | 2.40836e13i | 0.256270 | + | 0.919470i | ||||
\(960\) | 8.79066e12 | − | 1.52279e12i | 0.334042 | − | 0.0578656i | ||||
\(961\) | 2.99009e13 | + | 5.17899e13i | 1.13091 | + | 1.95880i | ||||
\(962\) | −1.77940e12 | + | 4.76788e11i | −0.0669862 | + | 0.0179489i | ||||
\(963\) | 1.57819e13 | − | 4.22876e12i | 0.591347 | − | 0.158451i | ||||
\(964\) | 1.22709e13 | + | 2.12539e13i | 0.457648 | + | 0.792669i | ||||
\(965\) | 3.71101e13 | − | 6.42853e12i | 1.37759 | − | 0.238637i | ||||
\(966\) | −1.97478e12 | − | 5.07996e11i | −0.0729663 | − | 0.0187700i | ||||
\(967\) | 1.12861e13 | − | 1.12861e13i | 0.415072 | − | 0.415072i | −0.468429 | − | 0.883501i | \(-0.655180\pi\) |
0.883501 | + | 0.468429i | \(0.155180\pi\) | |||||||
\(968\) | −2.18510e12 | + | 8.15490e12i | −0.0799893 | + | 0.298524i | ||||
\(969\) | 4.93246e11 | − | 8.54328e11i | 0.0179724 | − | 0.0311292i | ||||
\(970\) | −4.90992e12 | − | 1.06125e13i | −0.178074 | − | 0.384899i | ||||
\(971\) | −4.32293e13 | + | 2.49585e13i | −1.56060 | + | 0.901014i | −0.563406 | + | 0.826180i | \(0.690509\pi\) |
−0.997196 | + | 0.0748338i | \(0.976157\pi\) | |||||||
\(972\) | −1.84586e13 | − | 1.84586e13i | −0.663284 | − | 0.663284i | ||||
\(973\) | −5.04345e11 | + | 5.05212e9i | −0.0180393 | + | 0.000180703i | ||||
\(974\) | − | 3.13277e12i | − | 0.111536i | ||||||
\(975\) | −9.14607e12 | − | 7.76866e12i | −0.324126 | − | 0.275312i | ||||
\(976\) | −1.67585e13 | − | 9.67554e12i | −0.591169 | − | 0.341312i | ||||
\(977\) | 3.12817e12 | + | 1.16745e13i | 0.109841 | + | 0.409933i | 0.998849 | − | 0.0479586i | \(-0.0152716\pi\) |
−0.889008 | + | 0.457891i | \(0.848605\pi\) | |||||||
\(978\) | 2.83385e12 | + | 7.59327e11i | 0.0990493 | + | 0.0265402i | ||||
\(979\) | −2.01593e12 | −0.0701380 | ||||||||
\(980\) | −2.20938e13 | − | 1.49162e13i | −0.765162 | − | 0.516583i | ||||
\(981\) | −1.52031e13 | −0.524110 | ||||||||
\(982\) | 1.95263e12 | + | 5.23206e11i | 0.0670068 | + | 0.0179544i | ||||
\(983\) | −6.76220e12 | − | 2.52369e13i | −0.230992 | − | 0.862074i | −0.979915 | − | 0.199417i | \(-0.936095\pi\) |
0.748923 | − | 0.662657i | \(-0.230571\pi\) | |||||||
\(984\) | −2.21759e12 | − | 1.28033e12i | −0.0754056 | − | 0.0435355i | ||||
\(985\) | 1.05123e13 | − | 8.76711e12i | 0.355822 | − | 0.296752i | ||||
\(986\) | 6.87691e11i | 0.0231711i | ||||||||
\(987\) | −2.37986e13 | + | 2.38395e11i | −0.798223 | + | 0.00799595i | ||||
\(988\) | 1.92189e13 | + | 1.92189e13i | 0.641686 | + | 0.641686i | ||||
\(989\) | 6.96990e12 | − | 4.02408e12i | 0.231656 | − | 0.133747i | ||||
\(990\) | −1.20580e12 | + | 3.28216e12i | −0.0398947 | + | 0.108593i | ||||
\(991\) | 1.12128e13 | − | 1.94212e13i | 0.369304 | − | 0.639653i | −0.620153 | − | 0.784481i | \(-0.712930\pi\) |
0.989457 | + | 0.144828i | \(0.0462629\pi\) | |||||||
\(992\) | 1.06617e13 | − | 3.97900e13i | 0.349561 | − | 1.30458i | ||||
\(993\) | 2.12347e13 | − | 2.12347e13i | 0.693067 | − | 0.693067i | ||||
\(994\) | 1.13833e13 | + | 2.92826e12i | 0.369853 | + | 0.0951416i | ||||
\(995\) | 2.04210e12 | − | 2.89784e12i | 0.0660502 | − | 0.0937284i | ||||
\(996\) | −6.82172e12 | − | 1.18156e13i | −0.219648 | − | 0.380441i | ||||
\(997\) | 4.80151e13 | − | 1.28656e13i | 1.53904 | − | 0.412385i | 0.613085 | − | 0.790017i | \(-0.289928\pi\) |
0.925956 | + | 0.377632i | \(0.123262\pi\) | |||||||
\(998\) | −1.11429e13 | + | 2.98572e12i | −0.355557 | + | 0.0952713i | ||||
\(999\) | −5.41938e12 | − | 9.38665e12i | −0.172149 | − | 0.298171i |
(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.3.16 | ✓ | 136 | |
5.2 | odd | 4 | inner | 35.10.k.a.17.19 | yes | 136 | |
7.5 | odd | 6 | inner | 35.10.k.a.33.19 | yes | 136 | |
35.12 | even | 12 | inner | 35.10.k.a.12.16 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
35.10.k.a.3.16 | ✓ | 136 | 1.1 | even | 1 | trivial | |
35.10.k.a.12.16 | yes | 136 | 35.12 | even | 12 | inner | |
35.10.k.a.17.19 | yes | 136 | 5.2 | odd | 4 | inner | |
35.10.k.a.33.19 | yes | 136 | 7.5 | odd | 6 | inner |