Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,8,Mod(22,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.22");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(28.4270373191\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 22.14 | ||
Character | \(\chi\) | \(=\) | 91.22 |
Dual form | 91.8.f.a.29.14 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.786346 | − | 1.36199i | 0.0695038 | − | 0.120384i | −0.829179 | − | 0.558983i | \(-0.811192\pi\) |
0.898683 | + | 0.438599i | \(0.144525\pi\) | |||||||
\(3\) | 46.3303 | − | 80.2465i | 0.990697 | − | 1.71594i | 0.377495 | − | 0.926012i | \(-0.376785\pi\) |
0.613202 | − | 0.789926i | \(-0.289881\pi\) | |||||||
\(4\) | 62.7633 | + | 108.709i | 0.490338 | + | 0.849291i | ||||
\(5\) | 412.529 | 1.47591 | 0.737955 | − | 0.674850i | \(-0.235792\pi\) | ||||
0.737955 | + | 0.674850i | \(0.235792\pi\) | |||||||
\(6\) | −72.8633 | − | 126.203i | −0.137714 | − | 0.238528i | ||||
\(7\) | 171.500 | + | 297.047i | 0.188982 | + | 0.327327i | ||||
\(8\) | 398.719 | 0.275329 | ||||||||
\(9\) | −3199.50 | − | 5541.69i | −1.46296 | − | 2.53392i | ||||
\(10\) | 324.391 | − | 561.861i | 0.102581 | − | 0.177676i | ||||
\(11\) | 357.433 | − | 619.092i | 0.0809692 | − | 0.140243i | −0.822697 | − | 0.568480i | \(-0.807532\pi\) |
0.903667 | + | 0.428237i | \(0.140865\pi\) | |||||||
\(12\) | 11631.4 | 1.94311 | ||||||||
\(13\) | −3565.39 | − | 7073.65i | −0.450096 | − | 0.892980i | ||||
\(14\) | 539.433 | 0.0525399 | ||||||||
\(15\) | 19112.6 | − | 33104.0i | 1.46218 | − | 2.53257i | ||||
\(16\) | −7720.17 | + | 13371.7i | −0.471202 | + | 0.816146i | ||||
\(17\) | 11231.9 | + | 19454.3i | 0.554476 | + | 0.960381i | 0.997944 | + | 0.0640906i | \(0.0204147\pi\) |
−0.443468 | + | 0.896290i | \(0.646252\pi\) | |||||||
\(18\) | −10063.6 | −0.406726 | ||||||||
\(19\) | 12416.6 | + | 21506.2i | 0.415303 | + | 0.719325i | 0.995460 | − | 0.0951790i | \(-0.0303424\pi\) |
−0.580158 | + | 0.814504i | \(0.697009\pi\) | |||||||
\(20\) | 25891.7 | + | 44845.8i | 0.723695 | + | 1.25348i | ||||
\(21\) | 31782.6 | 0.748897 | ||||||||
\(22\) | −562.132 | − | 973.641i | −0.0112553 | − | 0.0194948i | ||||
\(23\) | 44986.5 | − | 77919.0i | 0.770966 | − | 1.33535i | −0.166068 | − | 0.986114i | \(-0.553107\pi\) |
0.937034 | − | 0.349238i | \(-0.113559\pi\) | |||||||
\(24\) | 18472.8 | − | 31995.8i | 0.272768 | − | 0.472448i | ||||
\(25\) | 92055.5 | 1.17831 | ||||||||
\(26\) | −12437.9 | − | 706.308i | −0.138784 | − | 0.00788111i | ||||
\(27\) | −390286. | −3.81601 | ||||||||
\(28\) | −21527.8 | + | 37287.3i | −0.185331 | + | 0.321002i | ||||
\(29\) | 75631.3 | − | 130997.i | 0.575849 | − | 0.997400i | −0.420100 | − | 0.907478i | \(-0.638005\pi\) |
0.995949 | − | 0.0899219i | \(-0.0286618\pi\) | |||||||
\(30\) | −30058.3 | − | 52062.4i | −0.203254 | − | 0.352046i | ||||
\(31\) | 32097.8 | 0.193513 | 0.0967563 | − | 0.995308i | \(-0.469153\pi\) | ||||
0.0967563 | + | 0.995308i | \(0.469153\pi\) | |||||||
\(32\) | 37659.5 | + | 65228.1i | 0.203165 | + | 0.351893i | ||||
\(33\) | −33120.0 | − | 57365.4i | −0.160432 | − | 0.277876i | ||||
\(34\) | 35328.7 | 0.154153 | ||||||||
\(35\) | 70748.8 | + | 122541.i | 0.278921 | + | 0.483105i | ||||
\(36\) | 401622. | − | 695630.i | 1.43469 | − | 2.48496i | ||||
\(37\) | −280805. | + | 486369.i | −0.911380 | + | 1.57856i | −0.0992631 | + | 0.995061i | \(0.531649\pi\) |
−0.812117 | + | 0.583495i | \(0.801685\pi\) | |||||||
\(38\) | 39054.9 | 0.115460 | ||||||||
\(39\) | −732821. | − | 41614.6i | −1.97821 | − | 0.112336i | ||||
\(40\) | 164483. | 0.406361 | ||||||||
\(41\) | −8207.42 | + | 14215.7i | −0.0185979 | + | 0.0322125i | −0.875175 | − | 0.483807i | \(-0.839254\pi\) |
0.856577 | + | 0.516020i | \(0.172587\pi\) | |||||||
\(42\) | 24992.1 | − | 43287.6i | 0.0520512 | − | 0.0901553i | ||||
\(43\) | −201299. | − | 348660.i | −0.386101 | − | 0.668747i | 0.605820 | − | 0.795602i | \(-0.292845\pi\) |
−0.991921 | + | 0.126854i | \(0.959512\pi\) | |||||||
\(44\) | 89734.7 | 0.158809 | ||||||||
\(45\) | −1.31989e6 | − | 2.28611e6i | −2.15920 | − | 3.73984i | ||||
\(46\) | −70749.9 | − | 122542.i | −0.107170 | − | 0.185624i | ||||
\(47\) | 254420. | 0.357444 | 0.178722 | − | 0.983900i | \(-0.442804\pi\) | ||||
0.178722 | + | 0.983900i | \(0.442804\pi\) | |||||||
\(48\) | 715356. | + | 1.23903e6i | 0.933637 | + | 1.61711i | ||||
\(49\) | −58824.5 | + | 101887.i | −0.0714286 | + | 0.123718i | ||||
\(50\) | 72387.5 | − | 125379.i | 0.0818971 | − | 0.141850i | ||||
\(51\) | 2.08151e6 | 2.19727 | ||||||||
\(52\) | 545196. | − | 831557.i | 0.537701 | − | 0.820125i | ||||
\(53\) | −730695. | −0.674172 | −0.337086 | − | 0.941474i | \(-0.609441\pi\) | ||||
−0.337086 | + | 0.941474i | \(0.609441\pi\) | |||||||
\(54\) | −306900. | + | 531566.i | −0.265227 | + | 0.459387i | ||||
\(55\) | 147452. | − | 255394.i | 0.119503 | − | 0.206986i | ||||
\(56\) | 68380.3 | + | 118438.i | 0.0520323 | + | 0.0901226i | ||||
\(57\) | 2.30106e6 | 1.64576 | ||||||||
\(58\) | −118945. | − | 206018.i | −0.0800474 | − | 0.138646i | ||||
\(59\) | 681637. | + | 1.18063e6i | 0.432087 | + | 0.748396i | 0.997053 | − | 0.0767178i | \(-0.0244441\pi\) |
−0.564966 | + | 0.825114i | \(0.691111\pi\) | |||||||
\(60\) | 4.79829e6 | 2.86785 | ||||||||
\(61\) | −506314. | − | 876961.i | −0.285605 | − | 0.494682i | 0.687151 | − | 0.726515i | \(-0.258861\pi\) |
−0.972756 | + | 0.231833i | \(0.925528\pi\) | |||||||
\(62\) | 25240.0 | − | 43716.9i | 0.0134499 | − | 0.0232958i | ||||
\(63\) | 1.09743e6 | − | 1.90080e6i | 0.552947 | − | 0.957733i | ||||
\(64\) | −1.85791e6 | −0.885921 | ||||||||
\(65\) | −1.47083e6 | − | 2.91809e6i | −0.664301 | − | 1.31796i | ||||
\(66\) | −104175. | −0.0446025 | ||||||||
\(67\) | −542624. | + | 939852.i | −0.220413 | + | 0.381766i | −0.954933 | − | 0.296820i | \(-0.904074\pi\) |
0.734521 | + | 0.678586i | \(0.237407\pi\) | |||||||
\(68\) | −1.40991e6 | + | 2.44203e6i | −0.543762 | + | 0.941823i | ||||
\(69\) | −4.16848e6 | − | 7.22002e6i | −1.52759 | − | 2.64586i | ||||
\(70\) | 222532. | 0.0775442 | ||||||||
\(71\) | 1.91602e6 | + | 3.31865e6i | 0.635325 | + | 1.10042i | 0.986446 | + | 0.164086i | \(0.0524674\pi\) |
−0.351121 | + | 0.936330i | \(0.614199\pi\) | |||||||
\(72\) | −1.27570e6 | − | 2.20958e6i | −0.402796 | − | 0.697663i | ||||
\(73\) | −3.29190e6 | −0.990415 | −0.495208 | − | 0.868775i | \(-0.664908\pi\) | ||||
−0.495208 | + | 0.868775i | \(0.664908\pi\) | |||||||
\(74\) | 441620. | + | 764909.i | 0.126689 | + | 0.219431i | ||||
\(75\) | 4.26496e6 | − | 7.38713e6i | 1.16735 | − | 2.02191i | ||||
\(76\) | −1.55861e6 | + | 2.69960e6i | −0.407278 | + | 0.705426i | ||||
\(77\) | 245199. | 0.0612070 | ||||||||
\(78\) | −632929. | + | 965372.i | −0.151016 | + | 0.230337i | ||||
\(79\) | −4.63384e6 | −1.05742 | −0.528708 | − | 0.848804i | \(-0.677323\pi\) | ||||
−0.528708 | + | 0.848804i | \(0.677323\pi\) | |||||||
\(80\) | −3.18480e6 | + | 5.51623e6i | −0.695452 | + | 1.20456i | ||||
\(81\) | −1.10848e7 | + | 1.91994e7i | −2.31755 | + | 4.01412i | ||||
\(82\) | 12907.7 | + | 22356.9i | 0.00258525 | + | 0.00447778i | ||||
\(83\) | 3.50222e6 | 0.672311 | 0.336156 | − | 0.941806i | \(-0.390873\pi\) | ||||
0.336156 | + | 0.941806i | \(0.390873\pi\) | |||||||
\(84\) | 1.99478e6 | + | 3.45506e6i | 0.367213 | + | 0.636031i | ||||
\(85\) | 4.63350e6 | + | 8.02545e6i | 0.818357 | + | 1.41744i | ||||
\(86\) | −633162. | −0.107342 | ||||||||
\(87\) | −7.00805e6 | − | 1.21383e7i | −1.14098 | − | 1.97624i | ||||
\(88\) | 142515. | − | 246844.i | 0.0222932 | − | 0.0386129i | ||||
\(89\) | 1.30135e6 | − | 2.25401e6i | 0.195673 | − | 0.338915i | −0.751448 | − | 0.659792i | \(-0.770644\pi\) |
0.947121 | + | 0.320877i | \(0.103978\pi\) | |||||||
\(90\) | −4.15155e6 | −0.600290 | ||||||||
\(91\) | 1.48974e6 | − | 2.27222e6i | 0.207236 | − | 0.316086i | ||||
\(92\) | 1.12940e7 | 1.51214 | ||||||||
\(93\) | 1.48710e6 | − | 2.57573e6i | 0.191712 | − | 0.332055i | ||||
\(94\) | 200062. | − | 346517.i | 0.0248437 | − | 0.0430306i | ||||
\(95\) | 5.12221e6 | + | 8.87192e6i | 0.612949 | + | 1.06166i | ||||
\(96\) | 6.97910e6 | 0.805101 | ||||||||
\(97\) | −396741. | − | 687176.i | −0.0441374 | − | 0.0764481i | 0.843113 | − | 0.537737i | \(-0.180721\pi\) |
−0.887250 | + | 0.461289i | \(0.847387\pi\) | |||||||
\(98\) | 92512.8 | + | 160237.i | 0.00992911 | + | 0.0171977i | ||||
\(99\) | −4.57442e6 | −0.473820 | ||||||||
\(100\) | 5.77771e6 | + | 1.00073e7i | 0.577771 | + | 1.00073i | ||||
\(101\) | −7.35431e6 | + | 1.27380e7i | −0.710260 | + | 1.23021i | 0.254500 | + | 0.967073i | \(0.418089\pi\) |
−0.964759 | + | 0.263133i | \(0.915244\pi\) | |||||||
\(102\) | 1.63679e6 | − | 2.83500e6i | 0.152719 | − | 0.264517i | ||||
\(103\) | −1.27837e7 | −1.15272 | −0.576361 | − | 0.817195i | \(-0.695528\pi\) | ||||
−0.576361 | + | 0.817195i | \(0.695528\pi\) | |||||||
\(104\) | −1.42159e6 | − | 2.82040e6i | −0.123925 | − | 0.245863i | ||||
\(105\) | 1.31113e7 | 1.10530 | ||||||||
\(106\) | −574579. | + | 995200.i | −0.0468575 | + | 0.0811596i | ||||
\(107\) | 6.27467e6 | − | 1.08681e7i | 0.495163 | − | 0.857647i | −0.504822 | − | 0.863224i | \(-0.668442\pi\) |
0.999984 | + | 0.00557674i | \(0.00177514\pi\) | |||||||
\(108\) | −2.44956e7 | − | 4.24277e7i | −1.87114 | − | 3.24091i | ||||
\(109\) | 9.53292e6 | 0.705071 | 0.352536 | − | 0.935798i | \(-0.385320\pi\) | ||||
0.352536 | + | 0.935798i | \(0.385320\pi\) | |||||||
\(110\) | −231896. | − | 401655.i | −0.0166119 | − | 0.0287726i | ||||
\(111\) | 2.60196e7 | + | 4.50673e7i | 1.80580 | + | 3.12774i | ||||
\(112\) | −5.29604e6 | −0.356195 | ||||||||
\(113\) | 7.67424e6 | + | 1.32922e7i | 0.500335 | + | 0.866606i | 1.00000 | 0.000386818i | \(0.000123128\pi\) | |
−0.499665 | + | 0.866219i | \(0.666544\pi\) | |||||||
\(114\) | 1.80943e6 | − | 3.13402e6i | 0.114386 | − | 0.198123i | ||||
\(115\) | 1.85583e7 | − | 3.21439e7i | 1.13788 | − | 1.97086i | ||||
\(116\) | 1.89875e7 | 1.12944 | ||||||||
\(117\) | −2.77925e7 | + | 4.23904e7i | −1.60427 | + | 2.44690i | ||||
\(118\) | 2.14401e6 | 0.120127 | ||||||||
\(119\) | −3.85255e6 | + | 6.67281e6i | −0.209572 | + | 0.362990i | ||||
\(120\) | 7.62057e6 | − | 1.31992e7i | 0.402581 | − | 0.697290i | ||||
\(121\) | 9.48807e6 | + | 1.64338e7i | 0.486888 | + | 0.843315i | ||||
\(122\) | −1.59255e6 | −0.0794025 | ||||||||
\(123\) | 760505. | + | 1.31723e6i | 0.0368497 | + | 0.0638256i | ||||
\(124\) | 2.01456e6 | + | 3.48933e6i | 0.0948866 | + | 0.164348i | ||||
\(125\) | 5.74675e6 | 0.263171 | ||||||||
\(126\) | −1.72591e6 | − | 2.98937e6i | −0.0768639 | − | 0.133132i | ||||
\(127\) | 1.10183e6 | − | 1.90843e6i | 0.0477313 | − | 0.0826731i | −0.841173 | − | 0.540767i | \(-0.818134\pi\) |
0.888904 | + | 0.458094i | \(0.151468\pi\) | |||||||
\(128\) | −6.28137e6 | + | 1.08797e7i | −0.264740 | + | 0.458543i | ||||
\(129\) | −3.73049e7 | −1.53004 | ||||||||
\(130\) | −5.13099e6 | − | 291373.i | −0.204833 | − | 0.0116318i | ||||
\(131\) | 2.98818e6 | 0.116133 | 0.0580667 | − | 0.998313i | \(-0.481506\pi\) | ||||
0.0580667 | + | 0.998313i | \(0.481506\pi\) | |||||||
\(132\) | 4.15744e6 | − | 7.20089e6i | 0.157332 | − | 0.272507i | ||||
\(133\) | −4.25889e6 | + | 7.37661e6i | −0.156970 | + | 0.271879i | ||||
\(134\) | 853379. | + | 1.47810e6i | 0.0306391 | + | 0.0530684i | ||||
\(135\) | −1.61004e8 | −5.63209 | ||||||||
\(136\) | 4.47838e6 | + | 7.75679e6i | 0.152663 | + | 0.264421i | ||||
\(137\) | −1.27214e7 | − | 2.20341e7i | −0.422681 | − | 0.732106i | 0.573519 | − | 0.819192i | \(-0.305578\pi\) |
−0.996201 | + | 0.0870864i | \(0.972244\pi\) | |||||||
\(138\) | −1.31115e7 | −0.424692 | ||||||||
\(139\) | 1.09221e7 | + | 1.89176e7i | 0.344949 | + | 0.597469i | 0.985344 | − | 0.170576i | \(-0.0545629\pi\) |
−0.640396 | + | 0.768045i | \(0.721230\pi\) | |||||||
\(140\) | −8.88086e6 | + | 1.53821e7i | −0.273531 | + | 0.473770i | ||||
\(141\) | 1.17873e7 | − | 2.04163e7i | 0.354119 | − | 0.613352i | ||||
\(142\) | 6.02662e6 | 0.176630 | ||||||||
\(143\) | −5.65363e6 | − | 321052.i | −0.161678 | − | 0.00918119i | ||||
\(144\) | 9.88027e7 | 2.75740 | ||||||||
\(145\) | 3.12001e7 | − | 5.40402e7i | 0.849901 | − | 1.47207i | ||||
\(146\) | −2.58858e6 | + | 4.48354e6i | −0.0688376 | + | 0.119230i | ||||
\(147\) | 5.45072e6 | + | 9.44092e6i | 0.141528 | + | 0.245134i | ||||
\(148\) | −7.04971e7 | −1.78754 | ||||||||
\(149\) | −3.61722e6 | − | 6.26521e6i | −0.0895825 | − | 0.155161i | 0.817752 | − | 0.575570i | \(-0.195220\pi\) |
−0.907335 | + | 0.420409i | \(0.861887\pi\) | |||||||
\(150\) | −6.70747e6 | − | 1.16177e7i | −0.162270 | − | 0.281061i | ||||
\(151\) | 6.03724e6 | 0.142698 | 0.0713492 | − | 0.997451i | \(-0.477270\pi\) | ||||
0.0713492 | + | 0.997451i | \(0.477270\pi\) | |||||||
\(152\) | 4.95073e6 | + | 8.57492e6i | 0.114345 | + | 0.198051i | ||||
\(153\) | 7.18730e7 | − | 1.24488e8i | 1.62235 | − | 2.81000i | ||||
\(154\) | 192811. | − | 333959.i | 0.00425412 | − | 0.00736835i | ||||
\(155\) | 1.32413e7 | 0.285607 | ||||||||
\(156\) | −4.14704e7 | − | 8.22763e7i | −0.874585 | − | 1.73516i | ||||
\(157\) | 7.98305e7 | 1.64634 | 0.823171 | − | 0.567794i | \(-0.192203\pi\) | ||||
0.823171 | + | 0.567794i | \(0.192203\pi\) | |||||||
\(158\) | −3.64380e6 | + | 6.31124e6i | −0.0734944 | + | 0.127296i | ||||
\(159\) | −3.38533e7 | + | 5.86357e7i | −0.667900 | + | 1.15684i | ||||
\(160\) | 1.55356e7 | + | 2.69085e7i | 0.299854 | + | 0.519362i | ||||
\(161\) | 3.08608e7 | 0.582795 | ||||||||
\(162\) | 1.74329e7 | + | 3.01947e7i | 0.322157 | + | 0.557993i | ||||
\(163\) | 1.81294e7 | + | 3.14010e7i | 0.327889 | + | 0.567920i | 0.982093 | − | 0.188398i | \(-0.0603296\pi\) |
−0.654204 | + | 0.756318i | \(0.726996\pi\) | |||||||
\(164\) | −2.06050e6 | −0.0364770 | ||||||||
\(165\) | −1.36630e7 | − | 2.36649e7i | −0.236783 | − | 0.410121i | ||||
\(166\) | 2.75396e6 | − | 4.76999e6i | 0.0467282 | − | 0.0809356i | ||||
\(167\) | −3.27890e7 | + | 5.67922e7i | −0.544779 | + | 0.943586i | 0.453841 | + | 0.891083i | \(0.350053\pi\) |
−0.998621 | + | 0.0525032i | \(0.983280\pi\) | |||||||
\(168\) | 1.26723e7 | 0.206193 | ||||||||
\(169\) | −3.73245e7 | + | 5.04406e7i | −0.594827 | + | 0.803854i | ||||
\(170\) | 1.45741e7 | 0.227516 | ||||||||
\(171\) | 7.94537e7 | − | 1.37618e8i | 1.21514 | − | 2.10469i | ||||
\(172\) | 2.52684e7 | − | 4.37661e7i | 0.378641 | − | 0.655825i | ||||
\(173\) | −1.98781e7 | − | 3.44300e7i | −0.291887 | − | 0.505563i | 0.682369 | − | 0.731008i | \(-0.260950\pi\) |
−0.974256 | + | 0.225445i | \(0.927616\pi\) | |||||||
\(174\) | −2.20430e7 | −0.317211 | ||||||||
\(175\) | 1.57875e7 | + | 2.73448e7i | 0.222680 | + | 0.385693i | ||||
\(176\) | 5.51889e6 | + | 9.55899e6i | 0.0763057 | + | 0.132165i | ||||
\(177\) | 1.26322e8 | 1.71227 | ||||||||
\(178\) | −2.04663e6 | − | 3.54486e6i | −0.0272000 | − | 0.0471118i | ||||
\(179\) | −3.33810e6 | + | 5.78175e6i | −0.0435024 | + | 0.0753484i | −0.886957 | − | 0.461852i | \(-0.847185\pi\) |
0.843454 | + | 0.537201i | \(0.180518\pi\) | |||||||
\(180\) | 1.65681e8 | − | 2.86968e8i | 2.11748 | − | 3.66758i | ||||
\(181\) | 3.56906e7 | 0.447383 | 0.223691 | − | 0.974660i | \(-0.428189\pi\) | ||||
0.223691 | + | 0.974660i | \(0.428189\pi\) | |||||||
\(182\) | −1.92329e6 | − | 3.81576e6i | −0.0236480 | − | 0.0469171i | ||||
\(183\) | −9.38307e7 | −1.13179 | ||||||||
\(184\) | 1.79370e7 | − | 3.10678e7i | 0.212269 | − | 0.367661i | ||||
\(185\) | −1.15840e8 | + | 2.00642e8i | −1.34511 | + | 2.32981i | ||||
\(186\) | −2.33875e6 | − | 4.05083e6i | −0.0266495 | − | 0.0461582i | ||||
\(187\) | 1.60586e7 | 0.179582 | ||||||||
\(188\) | 1.59682e7 | + | 2.76578e7i | 0.175269 | + | 0.303574i | ||||
\(189\) | −6.69341e7 | − | 1.15933e8i | −0.721159 | − | 1.24908i | ||||
\(190\) | 1.61113e7 | 0.170409 | ||||||||
\(191\) | 2.89986e7 | + | 5.02271e7i | 0.301135 | + | 0.521581i | 0.976393 | − | 0.216000i | \(-0.0693013\pi\) |
−0.675258 | + | 0.737581i | \(0.735968\pi\) | |||||||
\(192\) | −8.60776e7 | + | 1.49091e8i | −0.877679 | + | 1.52019i | ||||
\(193\) | 6.29208e7 | − | 1.08982e8i | 0.630004 | − | 1.09120i | −0.357546 | − | 0.933896i | \(-0.616386\pi\) |
0.987550 | − | 0.157304i | \(-0.0502802\pi\) | |||||||
\(194\) | −1.24790e6 | −0.0122709 | ||||||||
\(195\) | −3.02310e8 | − | 1.71673e7i | −2.91966 | − | 0.165798i | ||||
\(196\) | −1.47681e7 | −0.140097 | ||||||||
\(197\) | 5.15985e7 | − | 8.93713e7i | 0.480845 | − | 0.832849i | −0.518913 | − | 0.854827i | \(-0.673663\pi\) |
0.999758 | + | 0.0219784i | \(0.00699651\pi\) | |||||||
\(198\) | −3.59708e6 | + | 6.23032e6i | −0.0329323 | + | 0.0570403i | ||||
\(199\) | 2.13448e7 | + | 3.69702e7i | 0.192002 | + | 0.332557i | 0.945914 | − | 0.324419i | \(-0.105169\pi\) |
−0.753912 | + | 0.656976i | \(0.771835\pi\) | |||||||
\(200\) | 3.67043e7 | 0.324423 | ||||||||
\(201\) | 5.02798e7 | + | 8.70872e7i | 0.436725 | + | 0.756429i | ||||
\(202\) | 1.15661e7 | + | 2.00330e7i | 0.0987315 | + | 0.171008i | ||||
\(203\) | 5.18831e7 | 0.435301 | ||||||||
\(204\) | 1.30643e8 | + | 2.26280e8i | 1.07741 | + | 1.86612i | ||||
\(205\) | −3.38580e6 | + | 5.86438e6i | −0.0274488 | + | 0.0475427i | ||||
\(206\) | −1.00524e7 | + | 1.74112e7i | −0.0801186 | + | 0.138770i | ||||
\(207\) | −5.75737e8 | −4.51157 | ||||||||
\(208\) | 1.22112e8 | + | 6.93438e6i | 0.940888 | + | 0.0534301i | ||||
\(209\) | 1.77524e7 | 0.134507 | ||||||||
\(210\) | 1.03100e7 | − | 1.78574e7i | 0.0768228 | − | 0.133061i | ||||
\(211\) | −6.34608e7 | + | 1.09917e8i | −0.465069 | + | 0.805522i | −0.999205 | − | 0.0398762i | \(-0.987304\pi\) |
0.534136 | + | 0.845398i | \(0.320637\pi\) | |||||||
\(212\) | −4.58609e7 | − | 7.94333e7i | −0.330572 | − | 0.572568i | ||||
\(213\) | 3.55080e8 | 2.51766 | ||||||||
\(214\) | −9.86812e6 | − | 1.70921e7i | −0.0688314 | − | 0.119219i | ||||
\(215\) | −8.30416e7 | − | 1.43832e8i | −0.569851 | − | 0.987011i | ||||
\(216\) | −1.55615e8 | −1.05066 | ||||||||
\(217\) | 5.50477e6 | + | 9.53454e6i | 0.0365704 | + | 0.0633418i | ||||
\(218\) | 7.49617e6 | − | 1.29837e7i | 0.0490051 | − | 0.0848794i | ||||
\(219\) | −1.52515e8 | + | 2.64164e8i | −0.981201 | + | 1.69949i | ||||
\(220\) | 3.70182e7 | 0.234388 | ||||||||
\(221\) | 9.75665e7 | − | 1.48813e8i | 0.608034 | − | 0.927400i | ||||
\(222\) | 8.18416e7 | 0.502041 | ||||||||
\(223\) | −9.18344e6 | + | 1.59062e7i | −0.0554547 | + | 0.0960504i | −0.892420 | − | 0.451205i | \(-0.850994\pi\) |
0.836965 | + | 0.547256i | \(0.184328\pi\) | |||||||
\(224\) | −1.29172e7 | + | 2.23732e7i | −0.0767892 | + | 0.133003i | ||||
\(225\) | −2.94531e8 | − | 5.10143e8i | −1.72382 | − | 2.98575i | ||||
\(226\) | 2.41384e7 | 0.139101 | ||||||||
\(227\) | −909781. | − | 1.57579e6i | −0.00516234 | − | 0.00894143i | 0.863433 | − | 0.504464i | \(-0.168310\pi\) |
−0.868595 | + | 0.495523i | \(0.834977\pi\) | |||||||
\(228\) | 1.44422e8 | + | 2.50146e8i | 0.806978 | + | 1.39773i | ||||
\(229\) | −3.08453e8 | −1.69733 | −0.848663 | − | 0.528935i | \(-0.822592\pi\) | ||||
−0.848663 | + | 0.528935i | \(0.822592\pi\) | |||||||
\(230\) | −2.91864e7 | − | 5.05524e7i | −0.158173 | − | 0.273964i | ||||
\(231\) | 1.13601e7 | − | 1.96763e7i | 0.0606376 | − | 0.105027i | ||||
\(232\) | 3.01557e7 | − | 5.22311e7i | 0.158548 | − | 0.274613i | ||||
\(233\) | −1.27105e8 | −0.658289 | −0.329145 | − | 0.944279i | \(-0.606760\pi\) | ||||
−0.329145 | + | 0.944279i | \(0.606760\pi\) | |||||||
\(234\) | 3.58808e7 | + | 7.11867e7i | 0.183066 | + | 0.363198i | ||||
\(235\) | 1.04956e8 | 0.527555 | ||||||||
\(236\) | −8.55636e7 | + | 1.48200e8i | −0.423738 | + | 0.733935i | ||||
\(237\) | −2.14687e8 | + | 3.71849e8i | −1.04758 | + | 1.81446i | ||||
\(238\) | 6.05887e6 | + | 1.04943e7i | 0.0291321 | + | 0.0504583i | ||||
\(239\) | −2.23746e8 | −1.06014 | −0.530070 | − | 0.847954i | \(-0.677834\pi\) | ||||
−0.530070 | + | 0.847954i | \(0.677834\pi\) | |||||||
\(240\) | 2.95105e8 | + | 5.11138e8i | 1.37796 | + | 2.38670i | ||||
\(241\) | 1.35516e8 | + | 2.34720e8i | 0.623635 | + | 1.08017i | 0.988803 | + | 0.149226i | \(0.0476781\pi\) |
−0.365168 | + | 0.930942i | \(0.618989\pi\) | |||||||
\(242\) | 2.98436e7 | 0.135362 | ||||||||
\(243\) | 6.00345e8 | + | 1.03983e9i | 2.68398 | + | 4.64878i | ||||
\(244\) | 6.35559e7 | − | 1.10082e8i | 0.280086 | − | 0.485123i | ||||
\(245\) | −2.42668e7 | + | 4.20314e7i | −0.105422 | + | 0.182597i | ||||
\(246\) | 2.39208e6 | 0.0102448 | ||||||||
\(247\) | 1.07857e8 | − | 1.64508e8i | 0.455417 | − | 0.694622i | ||||
\(248\) | 1.27980e7 | 0.0532796 | ||||||||
\(249\) | 1.62259e8 | − | 2.81041e8i | 0.666057 | − | 1.15364i | ||||
\(250\) | 4.51893e6 | − | 7.82702e6i | 0.0182914 | − | 0.0316816i | ||||
\(251\) | −6.61987e7 | − | 1.14660e8i | −0.264236 | − | 0.457670i | 0.703127 | − | 0.711064i | \(-0.251786\pi\) |
−0.967363 | + | 0.253394i | \(0.918453\pi\) | |||||||
\(252\) | 2.75513e8 | 1.08453 | ||||||||
\(253\) | −3.21593e7 | − | 5.57016e7i | −0.124849 | − | 0.216245i | ||||
\(254\) | −1.73285e6 | − | 3.00138e6i | −0.00663502 | − | 0.0114922i | ||||
\(255\) | 8.58686e8 | 3.24298 | ||||||||
\(256\) | −1.09028e8 | − | 1.88841e8i | −0.406160 | − | 0.703489i | ||||
\(257\) | 1.12043e8 | − | 1.94064e8i | 0.411736 | − | 0.713148i | −0.583344 | − | 0.812225i | \(-0.698256\pi\) |
0.995080 | + | 0.0990778i | \(0.0315893\pi\) | |||||||
\(258\) | −2.93346e7 | + | 5.08090e7i | −0.106343 | + | 0.184192i | ||||
\(259\) | −1.92633e8 | −0.688938 | ||||||||
\(260\) | 2.24909e8 | − | 3.43042e8i | 0.793598 | − | 1.21043i | ||||
\(261\) | −9.67929e8 | −3.36978 | ||||||||
\(262\) | 2.34974e6 | − | 4.06987e6i | 0.00807171 | − | 0.0139806i | ||||
\(263\) | 1.81455e7 | − | 3.14290e7i | 0.0615070 | − | 0.106533i | −0.833632 | − | 0.552320i | \(-0.813743\pi\) |
0.895139 | + | 0.445787i | \(0.147076\pi\) | |||||||
\(264\) | −1.32056e7 | − | 2.28727e7i | −0.0441716 | − | 0.0765075i | ||||
\(265\) | −3.01433e8 | −0.995017 | ||||||||
\(266\) | 6.69792e6 | + | 1.16011e7i | 0.0218200 | + | 0.0377933i | ||||
\(267\) | −1.20584e8 | − | 2.08858e8i | −0.387705 | − | 0.671524i | ||||
\(268\) | −1.36227e8 | −0.432307 | ||||||||
\(269\) | 3.68137e7 | + | 6.37632e7i | 0.115313 | + | 0.199727i | 0.917905 | − | 0.396801i | \(-0.129880\pi\) |
−0.802592 | + | 0.596528i | \(0.796546\pi\) | |||||||
\(270\) | −1.26605e8 | + | 2.19287e8i | −0.391452 | + | 0.678014i | ||||
\(271\) | 1.41610e8 | − | 2.45275e8i | 0.432215 | − | 0.748619i | −0.564848 | − | 0.825195i | \(-0.691065\pi\) |
0.997064 | + | 0.0765757i | \(0.0243987\pi\) | |||||||
\(272\) | −3.46850e8 | −1.04508 | ||||||||
\(273\) | −1.13317e8 | − | 2.24819e8i | −0.337075 | − | 0.668750i | ||||
\(274\) | −4.00137e7 | −0.117512 | ||||||||
\(275\) | 3.29037e7 | − | 5.69908e7i | 0.0954069 | − | 0.165250i | ||||
\(276\) | 5.23255e8 | − | 9.06305e8i | 1.49807 | − | 2.59473i | ||||
\(277\) | 8.84741e7 | + | 1.53242e8i | 0.250113 | + | 0.433209i | 0.963557 | − | 0.267504i | \(-0.0861987\pi\) |
−0.713443 | + | 0.700713i | \(0.752865\pi\) | |||||||
\(278\) | 3.43542e7 | 0.0959010 | ||||||||
\(279\) | −1.02697e8 | − | 1.77876e8i | −0.283101 | − | 0.490346i | ||||
\(280\) | 2.82089e7 | + | 4.88593e7i | 0.0767950 | + | 0.133013i | ||||
\(281\) | −3.11663e8 | −0.837939 | −0.418970 | − | 0.908000i | \(-0.637609\pi\) | ||||
−0.418970 | + | 0.908000i | \(0.637609\pi\) | |||||||
\(282\) | −1.85379e7 | − | 3.21085e7i | −0.0492252 | − | 0.0852606i | ||||
\(283\) | −1.26920e8 | + | 2.19832e8i | −0.332873 | + | 0.576553i | −0.983074 | − | 0.183209i | \(-0.941351\pi\) |
0.650201 | + | 0.759762i | \(0.274685\pi\) | |||||||
\(284\) | −2.40512e8 | + | 4.16579e8i | −0.623049 | + | 1.07915i | ||||
\(285\) | 9.49254e8 | 2.42899 | ||||||||
\(286\) | −4.88297e6 | + | 7.44773e6i | −0.0123425 | + | 0.0188253i | ||||
\(287\) | −5.63029e6 | −0.0140587 | ||||||||
\(288\) | 2.40983e8 | − | 4.17394e8i | 0.594446 | − | 1.02961i | ||||
\(289\) | −4.71428e7 | + | 8.16537e7i | −0.114888 | + | 0.198991i | ||||
\(290\) | −4.90682e7 | − | 8.49886e7i | −0.118143 | − | 0.204629i | ||||
\(291\) | −7.35246e7 | −0.174907 | ||||||||
\(292\) | −2.06611e8 | − | 3.57861e8i | −0.485639 | − | 0.841151i | ||||
\(293\) | 1.02014e8 | + | 1.76693e8i | 0.236931 | + | 0.410377i | 0.959832 | − | 0.280575i | \(-0.0905250\pi\) |
−0.722901 | + | 0.690952i | \(0.757192\pi\) | |||||||
\(294\) | 1.71446e7 | 0.0393470 | ||||||||
\(295\) | 2.81195e8 | + | 4.87044e8i | 0.637721 | + | 1.10457i | ||||
\(296\) | −1.11963e8 | + | 1.93925e8i | −0.250929 | + | 0.434623i | ||||
\(297\) | −1.39501e8 | + | 2.41623e8i | −0.308980 | + | 0.535168i | ||||
\(298\) | −1.13775e7 | −0.0249053 | ||||||||
\(299\) | −7.11566e8 | − | 4.04076e7i | −1.53945 | − | 0.0874206i | ||||
\(300\) | 1.07073e9 | 2.28958 | ||||||||
\(301\) | 6.90455e7 | − | 1.19590e8i | 0.145933 | − | 0.252763i | ||||
\(302\) | 4.74736e6 | − | 8.22267e6i | 0.00991808 | − | 0.0171786i | ||||
\(303\) | 6.81455e8 | + | 1.18032e9i | 1.40730 | + | 2.43752i | ||||
\(304\) | −3.83433e8 | −0.782766 | ||||||||
\(305\) | −2.08869e8 | − | 3.61772e8i | −0.421527 | − | 0.730106i | ||||
\(306\) | −1.13034e8 | − | 1.95781e8i | −0.225520 | − | 0.390611i | ||||
\(307\) | −5.08081e8 | −1.00219 | −0.501093 | − | 0.865393i | \(-0.667069\pi\) | ||||
−0.501093 | + | 0.865393i | \(0.667069\pi\) | |||||||
\(308\) | 1.53895e7 | + | 2.66554e7i | 0.0300121 | + | 0.0519826i | ||||
\(309\) | −5.92271e8 | + | 1.02584e9i | −1.14200 | + | 1.97800i | ||||
\(310\) | 1.04122e7 | − | 1.80345e7i | 0.0198508 | − | 0.0343826i | ||||
\(311\) | −1.14431e8 | −0.215716 | −0.107858 | − | 0.994166i | \(-0.534399\pi\) | ||||
−0.107858 | + | 0.994166i | \(0.534399\pi\) | |||||||
\(312\) | −2.92190e8 | − | 1.65925e7i | −0.544658 | − | 0.0309294i | ||||
\(313\) | 1.32078e8 | 0.243459 | 0.121730 | − | 0.992563i | \(-0.461156\pi\) | ||||
0.121730 | + | 0.992563i | \(0.461156\pi\) | |||||||
\(314\) | 6.27744e7 | − | 1.08728e8i | 0.114427 | − | 0.198193i | ||||
\(315\) | 4.52721e8 | − | 7.84136e8i | 0.816101 | − | 1.41353i | ||||
\(316\) | −2.90835e8 | − | 5.03741e8i | −0.518492 | − | 0.898054i | ||||
\(317\) | 1.11333e9 | 1.96298 | 0.981492 | − | 0.191504i | \(-0.0613364\pi\) | ||||
0.981492 | + | 0.191504i | \(0.0613364\pi\) | |||||||
\(318\) | 5.32409e7 | + | 9.22159e7i | 0.0928432 | + | 0.160809i | ||||
\(319\) | −5.40662e7 | − | 9.36455e7i | −0.0932521 | − | 0.161517i | ||||
\(320\) | −7.66443e8 | −1.30754 | ||||||||
\(321\) | −5.81415e8 | − | 1.00704e9i | −0.981112 | − | 1.69934i | ||||
\(322\) | 2.42672e7 | − | 4.20321e7i | 0.0405065 | − | 0.0701593i | ||||
\(323\) | −2.78924e8 | + | 4.83111e8i | −0.460551 | + | 0.797697i | ||||
\(324\) | −2.78287e9 | −4.54554 | ||||||||
\(325\) | −3.28214e8 | − | 6.51169e8i | −0.530353 | − | 1.05221i | ||||
\(326\) | 5.70238e7 | 0.0911580 | ||||||||
\(327\) | 4.41663e8 | − | 7.64983e8i | 0.698512 | − | 1.20986i | ||||
\(328\) | −3.27246e6 | + | 5.66806e6i | −0.00512054 | + | 0.00886903i | ||||
\(329\) | 4.36330e7 | + | 7.55745e7i | 0.0675506 | + | 0.117001i | ||||
\(330\) | −4.29752e7 | −0.0658293 | ||||||||
\(331\) | −1.01657e8 | − | 1.76076e8i | −0.154078 | − | 0.266871i | 0.778645 | − | 0.627465i | \(-0.215907\pi\) |
−0.932723 | + | 0.360594i | \(0.882574\pi\) | |||||||
\(332\) | 2.19811e8 | + | 3.80724e8i | 0.329660 | + | 0.570988i | ||||
\(333\) | 3.59374e9 | 5.33325 | ||||||||
\(334\) | 5.15670e7 | + | 8.93167e7i | 0.0757285 | + | 0.131166i | ||||
\(335\) | −2.23848e8 | + | 3.87716e8i | −0.325309 | + | 0.563453i | ||||
\(336\) | −2.45367e8 | + | 4.24988e8i | −0.352882 | + | 0.611209i | ||||
\(337\) | 8.55254e7 | 0.121728 | 0.0608640 | − | 0.998146i | \(-0.480614\pi\) | ||||
0.0608640 | + | 0.998146i | \(0.480614\pi\) | |||||||
\(338\) | 3.93497e7 | + | 9.04994e7i | 0.0554285 | + | 0.127479i | ||||
\(339\) | 1.42220e9 | 1.98272 | ||||||||
\(340\) | −5.81627e8 | + | 1.00741e9i | −0.802544 | + | 1.39005i | ||||
\(341\) | 1.14728e7 | − | 1.98715e7i | 0.0156686 | − | 0.0271387i | ||||
\(342\) | −1.24956e8 | − | 2.16430e8i | −0.168914 | − | 0.292568i | ||||
\(343\) | −4.03536e7 | −0.0539949 | ||||||||
\(344\) | −8.02617e7 | − | 1.39017e8i | −0.106305 | − | 0.184126i | ||||
\(345\) | −1.71962e9 | − | 2.97847e9i | −2.25458 | − | 3.90505i | ||||
\(346\) | −6.25244e7 | −0.0811490 | ||||||||
\(347\) | −4.54737e8 | − | 7.87628e8i | −0.584261 | − | 1.01197i | −0.994967 | − | 0.100202i | \(-0.968051\pi\) |
0.410706 | − | 0.911768i | \(-0.365282\pi\) | |||||||
\(348\) | 8.79696e8 | − | 1.52368e9i | 1.11894 | − | 1.93806i | ||||
\(349\) | 7.09793e8 | − | 1.22940e9i | 0.893805 | − | 1.54812i | 0.0585285 | − | 0.998286i | \(-0.481359\pi\) |
0.835277 | − | 0.549830i | \(-0.185308\pi\) | |||||||
\(350\) | 4.96578e7 | 0.0619084 | ||||||||
\(351\) | 1.39152e9 | + | 2.76075e9i | 1.71757 | + | 3.40762i | ||||
\(352\) | 5.38429e7 | 0.0658005 | ||||||||
\(353\) | 4.67873e8 | − | 8.10380e8i | 0.566131 | − | 0.980567i | −0.430813 | − | 0.902441i | \(-0.641773\pi\) |
0.996944 | − | 0.0781256i | \(-0.0248935\pi\) | |||||||
\(354\) | 9.93326e7 | − | 1.72049e8i | 0.119009 | − | 0.206130i | ||||
\(355\) | 7.90415e8 | + | 1.36904e9i | 0.937683 | + | 1.62411i | ||||
\(356\) | 3.26709e8 | 0.383783 | ||||||||
\(357\) | 3.56980e8 | + | 6.18307e8i | 0.415245 | + | 0.719226i | ||||
\(358\) | 5.24980e6 | + | 9.09292e6i | 0.00604717 | + | 0.0104740i | ||||
\(359\) | −1.71474e9 | −1.95600 | −0.977998 | − | 0.208615i | \(-0.933104\pi\) | ||||
−0.977998 | + | 0.208615i | \(0.933104\pi\) | |||||||
\(360\) | −5.26264e8 | − | 9.11516e8i | −0.594491 | − | 1.02969i | ||||
\(361\) | 1.38593e8 | − | 2.40049e8i | 0.155047 | − | 0.268550i | ||||
\(362\) | 2.80652e7 | − | 4.86103e7i | 0.0310948 | − | 0.0538578i | ||||
\(363\) | 1.75834e9 | 1.92943 | ||||||||
\(364\) | 3.40512e8 | + | 1.93366e7i | 0.370065 | + | 0.0210148i | ||||
\(365\) | −1.35801e9 | −1.46176 | ||||||||
\(366\) | −7.37834e7 | + | 1.27797e8i | −0.0786638 | + | 0.136250i | ||||
\(367\) | 1.51040e8 | − | 2.61610e8i | 0.159500 | − | 0.276263i | −0.775188 | − | 0.631730i | \(-0.782345\pi\) |
0.934689 | + | 0.355467i | \(0.115678\pi\) | |||||||
\(368\) | 6.94608e8 | + | 1.20310e9i | 0.726561 | + | 1.25844i | ||||
\(369\) | 1.05039e8 | 0.108832 | ||||||||
\(370\) | 1.82181e8 | + | 3.15547e8i | 0.186981 | + | 0.323861i | ||||
\(371\) | −1.25314e8 | − | 2.17051e8i | −0.127407 | − | 0.220675i | ||||
\(372\) | 3.73341e8 | 0.376016 | ||||||||
\(373\) | −5.17200e8 | − | 8.95818e8i | −0.516034 | − | 0.893796i | −0.999827 | − | 0.0186141i | \(-0.994075\pi\) |
0.483793 | − | 0.875182i | \(-0.339259\pi\) | |||||||
\(374\) | 1.26276e7 | − | 2.18717e7i | 0.0124816 | − | 0.0216188i | ||||
\(375\) | 2.66249e8 | − | 4.61157e8i | 0.260722 | − | 0.451584i | ||||
\(376\) | 1.01442e8 | 0.0984148 | ||||||||
\(377\) | −1.19628e9 | − | 6.79332e7i | −1.14985 | − | 0.0652961i | ||||
\(378\) | −2.10533e8 | −0.200493 | ||||||||
\(379\) | 1.00740e9 | − | 1.74487e9i | 0.950528 | − | 1.64636i | 0.206242 | − | 0.978501i | \(-0.433877\pi\) |
0.744286 | − | 0.667861i | \(-0.232790\pi\) | |||||||
\(380\) | −6.42974e8 | + | 1.11366e9i | −0.601105 | + | 1.04114i | ||||
\(381\) | −1.02097e8 | − | 1.76837e8i | −0.0945745 | − | 0.163808i | ||||
\(382\) | 9.12119e7 | 0.0837201 | ||||||||
\(383\) | −5.38271e8 | − | 9.32312e8i | −0.489559 | − | 0.847941i | 0.510369 | − | 0.859956i | \(-0.329509\pi\) |
−0.999928 | + | 0.0120145i | \(0.996176\pi\) | |||||||
\(384\) | 5.82036e8 | + | 1.00812e9i | 0.524555 | + | 0.908555i | ||||
\(385\) | 1.01152e8 | 0.0903360 | ||||||||
\(386\) | −9.89550e7 | − | 1.71395e8i | −0.0875754 | − | 0.151685i | ||||
\(387\) | −1.28811e9 | + | 2.23107e9i | −1.12970 | + | 1.95670i | ||||
\(388\) | 4.98016e7 | − | 8.62589e7i | 0.0432845 | − | 0.0749709i | ||||
\(389\) | 1.20411e9 | 1.03715 | 0.518575 | − | 0.855032i | \(-0.326463\pi\) | ||||
0.518575 | + | 0.855032i | \(0.326463\pi\) | |||||||
\(390\) | −2.61102e8 | + | 3.98244e8i | −0.222887 | + | 0.339957i | ||||
\(391\) | 2.02114e9 | 1.70993 | ||||||||
\(392\) | −2.34545e7 | + | 4.06243e7i | −0.0196664 | + | 0.0340631i | ||||
\(393\) | 1.38443e8 | − | 2.39791e8i | 0.115053 | − | 0.199278i | ||||
\(394\) | −8.11485e7 | − | 1.40553e8i | −0.0668412 | − | 0.115772i | ||||
\(395\) | −1.91159e9 | −1.56065 | ||||||||
\(396\) | −2.87106e8 | − | 4.97282e8i | −0.232332 | − | 0.402411i | ||||
\(397\) | 8.26802e8 | + | 1.43206e9i | 0.663185 | + | 1.14867i | 0.979774 | + | 0.200107i | \(0.0641290\pi\) |
−0.316589 | + | 0.948563i | \(0.602538\pi\) | |||||||
\(398\) | 6.71374e7 | 0.0533794 | ||||||||
\(399\) | 3.94631e8 | + | 6.83522e8i | 0.311019 | + | 0.538700i | ||||
\(400\) | −7.10685e8 | + | 1.23094e9i | −0.555222 | + | 0.961673i | ||||
\(401\) | −4.13613e8 | + | 7.16399e8i | −0.320324 | + | 0.554817i | −0.980555 | − | 0.196246i | \(-0.937125\pi\) |
0.660231 | + | 0.751062i | \(0.270458\pi\) | |||||||
\(402\) | 1.58149e8 | 0.121416 | ||||||||
\(403\) | −1.14441e8 | − | 2.27048e8i | −0.0870992 | − | 0.172803i | ||||
\(404\) | −1.84632e9 | −1.39307 | ||||||||
\(405\) | −4.57280e9 | + | 7.92032e9i | −3.42050 | + | 5.92448i | ||||
\(406\) | 4.07980e7 | − | 7.06643e7i | 0.0302551 | − | 0.0524033i | ||||
\(407\) | 2.00738e8 | + | 3.47689e8i | 0.147587 | + | 0.255629i | ||||
\(408\) | 8.29940e8 | 0.604973 | ||||||||
\(409\) | −1.21158e9 | − | 2.09851e9i | −0.875628 | − | 1.51663i | −0.856092 | − | 0.516823i | \(-0.827115\pi\) |
−0.0195357 | − | 0.999809i | \(-0.506219\pi\) | |||||||
\(410\) | 5.32482e6 | + | 9.22287e6i | 0.00381559 | + | 0.00660880i | ||||
\(411\) | −2.35755e9 | −1.67500 | ||||||||
\(412\) | −8.02345e8 | − | 1.38970e9i | −0.565224 | − | 0.978997i | ||||
\(413\) | −2.33801e8 | + | 4.04956e8i | −0.163313 | + | 0.282867i | ||||
\(414\) | −4.52728e8 | + | 7.84149e8i | −0.313571 | + | 0.543122i | ||||
\(415\) | 1.44477e9 | 0.992271 | ||||||||
\(416\) | 3.27130e8 | − | 4.98954e8i | 0.222789 | − | 0.339808i | ||||
\(417\) | 2.02410e9 | 1.36696 | ||||||||
\(418\) | 1.39595e7 | − | 2.41786e7i | 0.00934875 | − | 0.0161925i | ||||
\(419\) | −7.24763e8 | + | 1.25533e9i | −0.481334 | + | 0.833696i | −0.999771 | − | 0.0214207i | \(-0.993181\pi\) |
0.518436 | + | 0.855116i | \(0.326514\pi\) | |||||||
\(420\) | 8.22906e8 | + | 1.42532e9i | 0.541973 | + | 0.938725i | ||||
\(421\) | 2.05461e9 | 1.34197 | 0.670985 | − | 0.741471i | \(-0.265872\pi\) | ||||
0.670985 | + | 0.741471i | \(0.265872\pi\) | |||||||
\(422\) | 9.98043e7 | + | 1.72866e8i | 0.0646481 | + | 0.111974i | ||||
\(423\) | −8.14015e8 | − | 1.40991e9i | −0.522927 | − | 0.905736i | ||||
\(424\) | −2.91342e8 | −0.185619 | ||||||||
\(425\) | 1.03396e9 | + | 1.79087e9i | 0.653345 | + | 1.13163i | ||||
\(426\) | 2.79215e8 | − | 4.83615e8i | 0.174987 | − | 0.303086i | ||||
\(427\) | 1.73666e8 | − | 3.00798e8i | 0.107948 | − | 0.186972i | ||||
\(428\) | 1.57528e9 | 0.971189 | ||||||||
\(429\) | −2.87698e8 | + | 4.38809e8i | −0.175928 | + | 0.268334i | ||||
\(430\) | −2.61198e8 | −0.158427 | ||||||||
\(431\) | −1.29381e9 | + | 2.24094e9i | −0.778393 | + | 1.34822i | 0.154474 | + | 0.987997i | \(0.450632\pi\) |
−0.932867 | + | 0.360220i | \(0.882702\pi\) | |||||||
\(432\) | 3.01308e9 | − | 5.21880e9i | 1.79811 | − | 3.11442i | ||||
\(433\) | −2.19950e8 | − | 3.80965e8i | −0.130202 | − | 0.225516i | 0.793552 | − | 0.608502i | \(-0.208229\pi\) |
−0.923754 | + | 0.382986i | \(0.874896\pi\) | |||||||
\(434\) | 1.73146e7 | 0.0101671 | ||||||||
\(435\) | −2.89103e9 | − | 5.00740e9i | −1.68399 | − | 2.91676i | ||||
\(436\) | 5.98317e8 | + | 1.03632e9i | 0.345724 | + | 0.598811i | ||||
\(437\) | 2.23432e9 | 1.28074 | ||||||||
\(438\) | 2.39859e8 | + | 4.15448e8i | 0.136394 | + | 0.236242i | ||||
\(439\) | −2.00655e8 | + | 3.47545e8i | −0.113194 | + | 0.196058i | −0.917056 | − | 0.398757i | \(-0.869442\pi\) |
0.803862 | + | 0.594815i | \(0.202775\pi\) | |||||||
\(440\) | 5.87918e7 | − | 1.01830e8i | 0.0329027 | − | 0.0569892i | ||||
\(441\) | 7.52835e8 | 0.417989 | ||||||||
\(442\) | −1.25961e8 | − | 2.49903e8i | −0.0693836 | − | 0.137655i | ||||
\(443\) | −1.85110e9 | −1.01162 | −0.505808 | − | 0.862646i | \(-0.668806\pi\) | ||||
−0.505808 | + | 0.862646i | \(0.668806\pi\) | |||||||
\(444\) | −3.26615e9 | + | 5.65714e9i | −1.77091 | + | 3.06730i | ||||
\(445\) | 5.36847e8 | − | 9.29845e8i | 0.288795 | − | 0.500208i | ||||
\(446\) | 1.44427e7 | + | 2.50155e7i | 0.00770863 | + | 0.0133517i | ||||
\(447\) | −6.70348e8 | −0.354997 | ||||||||
\(448\) | −3.18632e8 | − | 5.51886e8i | −0.167423 | − | 0.289986i | ||||
\(449\) | 9.77292e8 | + | 1.69272e9i | 0.509521 | + | 0.882516i | 0.999939 | + | 0.0110289i | \(0.00351069\pi\) |
−0.490418 | + | 0.871487i | \(0.663156\pi\) | |||||||
\(450\) | −9.26414e8 | −0.479249 | ||||||||
\(451\) | 5.86721e6 | + | 1.01623e7i | 0.00301171 | + | 0.00521644i | ||||
\(452\) | −9.63322e8 | + | 1.66852e9i | −0.490667 | + | 0.849860i | ||||
\(453\) | 2.79707e8 | − | 4.84467e8i | 0.141371 | − | 0.244862i | ||||
\(454\) | −2.86161e6 | −0.00143521 | ||||||||
\(455\) | 6.14562e8 | − | 9.37357e8i | 0.305862 | − | 0.466514i | ||||
\(456\) | 9.17476e8 | 0.453125 | ||||||||
\(457\) | −4.16980e8 | + | 7.22230e8i | −0.204366 | + | 0.353972i | −0.949931 | − | 0.312461i | \(-0.898847\pi\) |
0.745565 | + | 0.666433i | \(0.232180\pi\) | |||||||
\(458\) | −2.42551e8 | + | 4.20110e8i | −0.117971 | + | 0.204331i | ||||
\(459\) | −4.38366e9 | − | 7.59273e9i | −2.11589 | − | 3.66483i | ||||
\(460\) | 4.65911e9 | 2.23178 | ||||||||
\(461\) | −1.22665e9 | − | 2.12461e9i | −0.583130 | − | 1.01001i | −0.995106 | − | 0.0988165i | \(-0.968494\pi\) |
0.411975 | − | 0.911195i | \(-0.364839\pi\) | |||||||
\(462\) | −1.78660e7 | − | 3.09448e7i | −0.00842909 | − | 0.0145996i | ||||
\(463\) | 2.63933e9 | 1.23584 | 0.617918 | − | 0.786243i | \(-0.287976\pi\) | ||||
0.617918 | + | 0.786243i | \(0.287976\pi\) | |||||||
\(464\) | 1.16777e9 | + | 2.02264e9i | 0.542682 | + | 0.939954i | ||||
\(465\) | 6.13473e8 | − | 1.06257e9i | 0.282950 | − | 0.490084i | ||||
\(466\) | −9.99485e7 | + | 1.73116e8i | −0.0457536 | + | 0.0792476i | ||||
\(467\) | −2.22976e9 | −1.01309 | −0.506545 | − | 0.862213i | \(-0.669078\pi\) | ||||
−0.506545 | + | 0.862213i | \(0.669078\pi\) | |||||||
\(468\) | −6.35258e9 | − | 3.60743e8i | −2.86477 | − | 0.162681i | ||||
\(469\) | −3.72240e8 | −0.166616 | ||||||||
\(470\) | 8.25314e7 | − | 1.42949e8i | 0.0366671 | − | 0.0635093i | ||||
\(471\) | 3.69857e9 | − | 6.40611e9i | 1.63103 | − | 2.82502i | ||||
\(472\) | 2.71782e8 | + | 4.70740e8i | 0.118966 | + | 0.206055i | ||||
\(473\) | −2.87803e8 | −0.125049 | ||||||||
\(474\) | 3.37637e8 | + | 5.84804e8i | 0.145621 | + | 0.252224i | ||||
\(475\) | 1.14302e9 | + | 1.97976e9i | 0.489356 | + | 0.847589i | ||||
\(476\) | −9.67195e8 | −0.411045 | ||||||||
\(477\) | 2.33786e9 | + | 4.04929e9i | 0.986288 | + | 1.70830i | ||||
\(478\) | −1.75942e8 | + | 3.04740e8i | −0.0736837 | + | 0.127624i | ||||
\(479\) | 1.04242e9 | − | 1.80553e9i | 0.433380 | − | 0.750636i | −0.563782 | − | 0.825924i | \(-0.690654\pi\) |
0.997162 | + | 0.0752877i | \(0.0239875\pi\) | |||||||
\(480\) | 2.87909e9 | 1.18826 | ||||||||
\(481\) | 4.44159e9 | + | 2.52224e8i | 1.81983 | + | 0.103342i | ||||
\(482\) | 4.26249e8 | 0.173380 | ||||||||
\(483\) | 1.42979e9 | − | 2.47647e9i | 0.577374 | − | 1.00004i | ||||
\(484\) | −1.19101e9 | + | 2.06288e9i | −0.477480 | + | 0.827019i | ||||
\(485\) | −1.63667e8 | − | 2.83480e8i | −0.0651428 | − | 0.112831i | ||||
\(486\) | 1.88831e9 | 0.746186 | ||||||||
\(487\) | 1.01150e9 | + | 1.75196e9i | 0.396838 | + | 0.687343i | 0.993334 | − | 0.115273i | \(-0.0367742\pi\) |
−0.596496 | + | 0.802616i | \(0.703441\pi\) | |||||||
\(488\) | −2.01877e8 | − | 3.49661e8i | −0.0786353 | − | 0.136200i | ||||
\(489\) | 3.35976e9 | 1.29935 | ||||||||
\(490\) | 3.81642e7 | + | 6.61024e7i | 0.0146545 | + | 0.0253823i | ||||
\(491\) | −4.03132e8 | + | 6.98245e8i | −0.153696 | + | 0.266209i | −0.932583 | − | 0.360955i | \(-0.882451\pi\) |
0.778888 | + | 0.627164i | \(0.215784\pi\) | |||||||
\(492\) | −9.54637e7 | + | 1.65348e8i | −0.0361377 | + | 0.0625923i | ||||
\(493\) | 3.39794e9 | 1.27718 | ||||||||
\(494\) | −1.39246e8 | − | 2.76261e8i | −0.0519683 | − | 0.103104i | ||||
\(495\) | −1.88708e9 | −0.699315 | ||||||||
\(496\) | −2.47800e8 | + | 4.29203e8i | −0.0911835 | + | 0.157934i | ||||
\(497\) | −6.57195e8 | + | 1.13830e9i | −0.240130 | + | 0.415918i | ||||
\(498\) | −2.55183e8 | − | 4.41991e8i | −0.0925869 | − | 0.160365i | ||||
\(499\) | 9.39625e8 | 0.338534 | 0.169267 | − | 0.985570i | \(-0.445860\pi\) | ||||
0.169267 | + | 0.985570i | \(0.445860\pi\) | |||||||
\(500\) | 3.60685e8 | + | 6.24725e8i | 0.129043 | + | 0.223508i | ||||
\(501\) | 3.03825e9 | + | 5.26241e9i | 1.07942 | + | 1.86962i | ||||
\(502\) | −2.08220e8 | −0.0734616 | ||||||||
\(503\) | −2.63727e9 | − | 4.56789e9i | −0.923990 | − | 1.60040i | −0.793178 | − | 0.608990i | \(-0.791575\pi\) |
−0.130811 | − | 0.991407i | \(-0.541758\pi\) | |||||||
\(504\) | 4.37565e8 | − | 7.57885e8i | 0.152243 | − | 0.263692i | ||||
\(505\) | −3.03387e9 | + | 5.25482e9i | −1.04828 | + | 1.81567i | ||||
\(506\) | −1.01153e8 | −0.0347099 | ||||||||
\(507\) | 2.31842e9 | + | 5.33209e9i | 0.790069 | + | 1.81706i | ||||
\(508\) | 2.76619e8 | 0.0936180 | ||||||||
\(509\) | −1.76908e9 | + | 3.06413e9i | −0.594614 | + | 1.02990i | 0.398988 | + | 0.916956i | \(0.369362\pi\) |
−0.993601 | + | 0.112945i | \(0.963972\pi\) | |||||||
\(510\) | 6.75224e8 | − | 1.16952e9i | 0.225399 | − | 0.390403i | ||||
\(511\) | −5.64562e8 | − | 9.77850e8i | −0.187171 | − | 0.324189i | ||||
\(512\) | −1.95097e9 | −0.642399 | ||||||||
\(513\) | −4.84602e9 | − | 8.39355e9i | −1.58480 | − | 2.74495i | ||||
\(514\) | −1.76209e8 | − | 3.05203e8i | −0.0572344 | − | 0.0991329i | ||||
\(515\) | −5.27364e9 | −1.70132 | ||||||||
\(516\) | −2.34138e9 | − | 4.05539e9i | −0.750237 | − | 1.29945i | ||||
\(517\) | 9.09379e7 | − | 1.57509e8i | 0.0289420 | − | 0.0501290i | ||||
\(518\) | −1.51476e8 | + | 2.62364e8i | −0.0478838 | + | 0.0829372i | ||||
\(519\) | −3.68384e9 | −1.15669 | ||||||||
\(520\) | −5.86447e8 | − | 1.16350e9i | −0.182901 | − | 0.362872i | ||||
\(521\) | 1.49552e9 | 0.463299 | 0.231649 | − | 0.972799i | \(-0.425588\pi\) | ||||
0.231649 | + | 0.972799i | \(0.425588\pi\) | |||||||
\(522\) | −7.61127e8 | + | 1.31831e9i | −0.234213 | + | 0.405668i | ||||
\(523\) | −1.14462e9 | + | 1.98254e9i | −0.349869 | + | 0.605991i | −0.986226 | − | 0.165404i | \(-0.947107\pi\) |
0.636357 | + | 0.771395i | \(0.280441\pi\) | |||||||
\(524\) | 1.87548e8 | + | 3.24843e8i | 0.0569447 | + | 0.0986311i | ||||
\(525\) | 2.92576e9 | 0.882433 | ||||||||
\(526\) | −2.85373e7 | − | 4.94281e7i | −0.00854994 | − | 0.0148089i | ||||
\(527\) | 3.60520e8 | + | 6.24438e8i | 0.107298 | + | 0.185846i | ||||
\(528\) | 1.02277e9 | 0.302384 | ||||||||
\(529\) | −2.34516e9 | − | 4.06194e9i | −0.688776 | − | 1.19300i | ||||
\(530\) | −2.37031e8 | + | 4.10549e8i | −0.0691575 | + | 0.119784i | ||||
\(531\) | 4.36179e9 | − | 7.55484e9i | 1.26425 | − | 2.18975i | ||||
\(532\) | −1.06921e9 | −0.307873 | ||||||||
\(533\) | 1.29819e8 | + | 7.37204e6i | 0.0371359 | + | 0.00210883i | ||||
\(534\) | −3.79284e8 | −0.107788 | ||||||||
\(535\) | 2.58849e9 | − | 4.48339e9i | 0.730816 | − | 1.26581i | ||||
\(536\) | −2.16354e8 | + | 3.74737e8i | −0.0606861 | + | 0.105111i | ||||
\(537\) | 3.09310e8 | + | 5.35741e8i | 0.0861954 | + | 0.149295i | ||||
\(538\) | 1.15793e8 | 0.0320586 | ||||||||
\(539\) | 4.20516e7 | + | 7.28355e7i | 0.0115670 | + | 0.0200347i | ||||
\(540\) | −1.01052e10 | − | 1.75027e10i | −2.76163 | − | 4.78329i | ||||
\(541\) | −3.26061e9 | −0.885335 | −0.442668 | − | 0.896686i | \(-0.645968\pi\) | ||||
−0.442668 | + | 0.896686i | \(0.645968\pi\) | |||||||
\(542\) | −2.22708e8 | − | 3.85742e8i | −0.0600812 | − | 0.104064i | ||||
\(543\) | 1.65356e9 | − | 2.86405e9i | 0.443221 | − | 0.767681i | ||||
\(544\) | −8.45977e8 | + | 1.46527e9i | −0.225301 | + | 0.390232i | ||||
\(545\) | 3.93261e9 | 1.04062 | ||||||||
\(546\) | −3.95308e8 | − | 2.24483e7i | −0.103935 | − | 0.00590214i | ||||
\(547\) | −1.59245e9 | −0.416015 | −0.208008 | − | 0.978127i | \(-0.566698\pi\) | ||||
−0.208008 | + | 0.978127i | \(0.566698\pi\) | |||||||
\(548\) | 1.59688e9 | − | 2.76587e9i | 0.414514 | − | 0.717959i | ||||
\(549\) | −3.23990e9 | + | 5.61167e9i | −0.835658 | + | 1.44740i | ||||
\(550\) | −5.17473e7 | − | 8.96290e7i | −0.0132623 | − | 0.0229710i | ||||
\(551\) | 3.75633e9 | 0.956607 | ||||||||
\(552\) | −1.66205e9 | − | 2.87876e9i | −0.420589 | − | 0.728482i | ||||
\(553\) | −7.94703e8 | − | 1.37647e9i | −0.199833 | − | 0.346121i | ||||
\(554\) | 2.78285e8 | 0.0695354 | ||||||||
\(555\) | 1.07339e10 | + | 1.85916e10i | 2.66520 | + | 4.61627i | ||||
\(556\) | −1.37102e9 | + | 2.37467e9i | −0.338283 | + | 0.585924i | ||||
\(557\) | 3.69999e9 | − | 6.40858e9i | 0.907210 | − | 1.57133i | 0.0892867 | − | 0.996006i | \(-0.471541\pi\) |
0.817923 | − | 0.575328i | \(-0.195125\pi\) | |||||||
\(558\) | −3.23021e8 | −0.0787065 | ||||||||
\(559\) | −1.74859e9 | + | 2.66702e9i | −0.423395 | + | 0.645781i | ||||
\(560\) | −2.18477e9 | −0.525712 | ||||||||
\(561\) | 7.44002e8 | − | 1.28865e9i | 0.177911 | − | 0.308152i | ||||
\(562\) | −2.45074e8 | + | 4.24481e8i | −0.0582400 | + | 0.100875i | ||||
\(563\) | −4.84268e8 | − | 8.38778e8i | −0.114369 | − | 0.198092i | 0.803159 | − | 0.595765i | \(-0.203151\pi\) |
−0.917527 | + | 0.397673i | \(0.869818\pi\) | |||||||
\(564\) | 2.95925e9 | 0.694552 | ||||||||
\(565\) | 3.16585e9 | + | 5.48341e9i | 0.738449 | + | 1.27903i | ||||
\(566\) | 1.99606e8 | + | 3.45729e8i | 0.0462719 | + | 0.0801452i | ||||
\(567\) | −7.60416e9 | −1.75190 | ||||||||
\(568\) | 7.63955e8 | + | 1.32321e9i | 0.174924 | + | 0.302977i | ||||
\(569\) | −3.52412e8 | + | 6.10396e8i | −0.0801970 | + | 0.138905i | −0.903334 | − | 0.428937i | \(-0.858888\pi\) |
0.823137 | + | 0.567842i | \(0.192222\pi\) | |||||||
\(570\) | 7.46442e8 | − | 1.29288e9i | 0.168824 | − | 0.292412i | ||||
\(571\) | −5.41887e9 | −1.21810 | −0.609049 | − | 0.793132i | \(-0.708449\pi\) | ||||
−0.609049 | + | 0.793132i | \(0.708449\pi\) | |||||||
\(572\) | −3.19939e8 | − | 6.34752e8i | −0.0714794 | − | 0.141814i | ||||
\(573\) | 5.37407e9 | 1.19333 | ||||||||
\(574\) | −4.42736e6 | + | 7.66841e6i | −0.000977131 | + | 0.00169244i | ||||
\(575\) | 4.14126e9 | − | 7.17287e9i | 0.908437 | − | 1.57346i | ||||
\(576\) | 5.94438e9 | + | 1.02960e10i | 1.29607 | + | 2.24486i | ||||
\(577\) | 8.00498e8 | 0.173478 | 0.0867391 | − | 0.996231i | \(-0.472355\pi\) | ||||
0.0867391 | + | 0.996231i | \(0.472355\pi\) | |||||||
\(578\) | 7.41411e7 | + | 1.28416e8i | 0.0159702 | + | 0.0276613i | ||||
\(579\) | −5.83028e9 | − | 1.00983e10i | −1.24829 | − | 2.16210i | ||||
\(580\) | 7.83290e9 | 1.66696 | ||||||||
\(581\) | 6.00631e8 | + | 1.04032e9i | 0.127055 | + | 0.220065i | ||||
\(582\) | −5.78157e7 | + | 1.00140e8i | −0.0121567 | + | 0.0210560i | ||||
\(583\) | −2.61174e8 | + | 4.52367e8i | −0.0545872 | + | 0.0945478i | ||||
\(584\) | −1.31255e9 | −0.272690 | ||||||||
\(585\) | −1.14652e10 | + | 1.74873e10i | −2.36776 | + | 3.61141i | ||||
\(586\) | 3.20873e8 | 0.0658706 | ||||||||
\(587\) | −3.41971e8 | + | 5.92311e8i | −0.0697840 | + | 0.120869i | −0.898806 | − | 0.438346i | \(-0.855564\pi\) |
0.829022 | + | 0.559216i | \(0.188898\pi\) | |||||||
\(588\) | −6.84210e8 | + | 1.18509e9i | −0.138793 | + | 0.240397i | ||||
\(589\) | 3.98545e8 | + | 6.90300e8i | 0.0803663 | + | 0.139198i | ||||
\(590\) | 8.84467e8 | 0.177296 | ||||||||
\(591\) | −4.78115e9 | − | 8.28120e9i | −0.952744 | − | 1.65020i | ||||
\(592\) | −4.33573e9 | − | 7.50971e9i | −0.858888 | − | 1.48764i | ||||
\(593\) | 7.83680e8 | 0.154329 | 0.0771645 | − | 0.997018i | \(-0.475413\pi\) | ||||
0.0771645 | + | 0.997018i | \(0.475413\pi\) | |||||||
\(594\) | 2.19392e8 | + | 3.79998e8i | 0.0429505 | + | 0.0743925i | ||||
\(595\) | −1.58929e9 | + | 2.75273e9i | −0.309310 | + | 0.535740i | ||||
\(596\) | 4.54058e8 | − | 7.86451e8i | 0.0878515 | − | 0.152163i | ||||
\(597\) | 3.95564e9 | 0.760863 | ||||||||
\(598\) | −6.14572e8 | + | 9.37372e8i | −0.117522 | + | 0.179249i | ||||
\(599\) | 3.32542e9 | 0.632198 | 0.316099 | − | 0.948726i | \(-0.397627\pi\) | ||||
0.316099 | + | 0.948726i | \(0.397627\pi\) | |||||||
\(600\) | 1.70052e9 | − | 2.94539e9i | 0.321405 | − | 0.556690i | ||||
\(601\) | 3.65282e9 | − | 6.32687e9i | 0.686384 | − | 1.18885i | −0.286615 | − | 0.958046i | \(-0.592530\pi\) |
0.973000 | − | 0.230807i | \(-0.0741365\pi\) | |||||||
\(602\) | −1.08587e8 | − | 1.88079e8i | −0.0202857 | − | 0.0351359i | ||||
\(603\) | 6.94449e9 | 1.28982 | ||||||||
\(604\) | 3.78917e8 | + | 6.56304e8i | 0.0699705 | + | 0.121192i | ||||
\(605\) | 3.91411e9 | + | 6.77943e9i | 0.718603 | + | 1.24466i | ||||
\(606\) | 2.14344e9 | 0.391252 | ||||||||
\(607\) | −1.60679e8 | − | 2.78305e8i | −0.0291608 | − | 0.0505080i | 0.851077 | − | 0.525041i | \(-0.175950\pi\) |
−0.880238 | + | 0.474533i | \(0.842617\pi\) | |||||||
\(608\) | −9.35205e8 | + | 1.61982e9i | −0.168750 | + | 0.292284i | ||||
\(609\) | 2.40376e9 | − | 4.16343e9i | 0.431251 | − | 0.746949i | ||||
\(610\) | −6.56974e8 | −0.117191 | ||||||||
\(611\) | −9.07105e8 | − | 1.79968e9i | −0.160884 | − | 0.319190i | ||||
\(612\) | 1.80440e10 | 3.18201 | ||||||||
\(613\) | 2.58558e9 | − | 4.47836e9i | 0.453364 | − | 0.785250i | −0.545228 | − | 0.838288i | \(-0.683557\pi\) |
0.998593 | + | 0.0530378i | \(0.0168904\pi\) | |||||||
\(614\) | −3.99527e8 | + | 6.92001e8i | −0.0696557 | + | 0.120647i | ||||
\(615\) | 3.13731e8 | + | 5.43398e8i | 0.0543869 | + | 0.0942008i | ||||
\(616\) | 9.77655e7 | 0.0168521 | ||||||||
\(617\) | −1.33940e9 | − | 2.31991e9i | −0.229569 | − | 0.397625i | 0.728111 | − | 0.685459i | \(-0.240398\pi\) |
−0.957680 | + | 0.287834i | \(0.907065\pi\) | |||||||
\(618\) | 9.31460e8 | + | 1.61334e9i | 0.158747 | + | 0.274957i | ||||
\(619\) | −6.95942e9 | −1.17939 | −0.589693 | − | 0.807627i | \(-0.700751\pi\) | ||||
−0.589693 | + | 0.807627i | \(0.700751\pi\) | |||||||
\(620\) | 8.31067e8 | + | 1.43945e9i | 0.140044 | + | 0.242564i | ||||
\(621\) | −1.75576e10 | + | 3.04107e10i | −2.94202 | + | 5.09572i | ||||
\(622\) | −8.99823e7 | + | 1.55854e8i | −0.0149931 | + | 0.0259688i | ||||
\(623\) | 8.92728e8 | 0.147915 | ||||||||
\(624\) | 6.21397e9 | − | 9.47781e9i | 1.02382 | − | 1.56157i | ||||
\(625\) | −4.82113e9 | −0.789895 | ||||||||
\(626\) | 1.03859e8 | − | 1.79889e8i | 0.0169213 | − | 0.0293086i | ||||
\(627\) | 8.22474e8 | − | 1.42457e9i | 0.133256 | − | 0.230806i | ||||
\(628\) | 5.01043e9 | + | 8.67831e9i | 0.807265 | + | 1.39822i | ||||
\(629\) | −1.26159e10 | −2.02135 | ||||||||
\(630\) | −7.11991e8 | − | 1.23320e9i | −0.113444 | − | 0.196491i | ||||
\(631\) | 1.99529e9 | + | 3.45595e9i | 0.316158 | + | 0.547602i | 0.979683 | − | 0.200552i | \(-0.0642737\pi\) |
−0.663525 | + | 0.748154i | \(0.730940\pi\) | |||||||
\(632\) | −1.84760e9 | −0.291137 | ||||||||
\(633\) | 5.88032e9 | + | 1.01850e10i | 0.921484 | + | 1.59606i | ||||
\(634\) | 8.75463e8 | − | 1.51635e9i | 0.136435 | − | 0.236312i | ||||
\(635\) | 4.54539e8 | − | 7.87285e8i | 0.0704471 | − | 0.122018i | ||||
\(636\) | −8.49899e9 | −1.30999 | ||||||||
\(637\) | 9.30445e8 | + | 5.28371e7i | 0.142627 | + | 0.00809936i | ||||
\(638\) | −1.70059e8 | −0.0259255 | ||||||||
\(639\) | 1.22606e10 | − | 2.12360e10i | 1.85891 | − | 3.21973i | ||||
\(640\) | −2.59125e9 | + | 4.48818e9i | −0.390733 | + | 0.676769i | ||||
\(641\) | 1.31477e9 | + | 2.27724e9i | 0.197172 | + | 0.341512i | 0.947610 | − | 0.319428i | \(-0.103491\pi\) |
−0.750438 | + | 0.660940i | \(0.770158\pi\) | |||||||
\(642\) | −1.82877e9 | −0.272764 | ||||||||
\(643\) | 9.77337e8 | + | 1.69280e9i | 0.144979 | + | 0.251111i | 0.929365 | − | 0.369162i | \(-0.120355\pi\) |
−0.784386 | + | 0.620273i | \(0.787022\pi\) | |||||||
\(644\) | 1.93692e9 | + | 3.35485e9i | 0.285767 | + | 0.494963i | ||||
\(645\) | −1.53894e10 | −2.25820 | ||||||||
\(646\) | 4.38662e8 | + | 7.59785e8i | 0.0640201 | + | 0.110886i | ||||
\(647\) | 2.02628e9 | − | 3.50962e9i | 0.294127 | − | 0.509443i | −0.680654 | − | 0.732605i | \(-0.738304\pi\) |
0.974781 | + | 0.223162i | \(0.0716378\pi\) | |||||||
\(648\) | −4.41971e9 | + | 7.65517e9i | −0.638089 | + | 1.10520i | ||||
\(649\) | 9.74558e8 | 0.139943 | ||||||||
\(650\) | −1.14498e9 | − | 6.50196e7i | −0.163531 | − | 0.00928640i | ||||
\(651\) | 1.02015e9 | 0.144921 | ||||||||
\(652\) | −2.27572e9 | + | 3.94166e9i | −0.321553 | + | 0.556946i | ||||
\(653\) | −3.78632e9 | + | 6.55810e9i | −0.532134 | + | 0.921683i | 0.467162 | + | 0.884172i | \(0.345276\pi\) |
−0.999296 | + | 0.0375115i | \(0.988057\pi\) | |||||||
\(654\) | −6.94600e8 | − | 1.20308e9i | −0.0970985 | − | 0.168180i | ||||
\(655\) | 1.23271e9 | 0.171402 | ||||||||
\(656\) | −1.26725e8 | − | 2.19495e8i | −0.0175267 | − | 0.0303572i | ||||
\(657\) | 1.05324e10 | + | 1.82427e10i | 1.44894 | + | 2.50964i | ||||
\(658\) | 1.37242e8 | 0.0187801 | ||||||||
\(659\) | 4.15867e9 | + | 7.20303e9i | 0.566051 | + | 0.980429i | 0.996951 | + | 0.0780293i | \(0.0248628\pi\) |
−0.430900 | + | 0.902400i | \(0.641804\pi\) | |||||||
\(660\) | 1.71507e9 | − | 2.97058e9i | 0.232208 | − | 0.402196i | ||||
\(661\) | 4.30282e9 | − | 7.45270e9i | 0.579492 | − | 1.00371i | −0.416045 | − | 0.909344i | \(-0.636584\pi\) |
0.995538 | − | 0.0943663i | \(-0.0300825\pi\) | |||||||
\(662\) | −3.19752e8 | −0.0428361 | ||||||||
\(663\) | −7.42141e9 | − | 1.47239e10i | −0.988983 | − | 1.96212i | ||||
\(664\) | 1.39640e9 | 0.185107 | ||||||||
\(665\) | −1.75692e9 | + | 3.04307e9i | −0.231673 | + | 0.401270i | ||||
\(666\) | 2.82593e9 | − | 4.89465e9i | 0.370681 | − | 0.642039i | ||||
\(667\) | −6.80478e9 | − | 1.17862e10i | −0.887920 | − | 1.53792i | ||||
\(668\) | −8.23179e9 | −1.06851 | ||||||||
\(669\) | 8.50943e8 | + | 1.47388e9i | 0.109878 | + | 0.190314i | ||||
\(670\) | 3.52044e8 | + | 6.09758e8i | 0.0452205 | + | 0.0783242i | ||||
\(671\) | −7.23893e8 | −0.0925008 | ||||||||
\(672\) | 1.19692e9 | + | 2.07312e9i | 0.152150 | + | 0.263531i | ||||
\(673\) | 2.92525e9 | − | 5.06669e9i | 0.369922 | − | 0.640725i | −0.619631 | − | 0.784894i | \(-0.712718\pi\) |
0.989553 | + | 0.144169i | \(0.0460509\pi\) | |||||||
\(674\) | 6.72526e7 | − | 1.16485e8i | 0.00846056 | − | 0.0146541i | ||||
\(675\) | −3.59280e10 | −4.49645 | ||||||||
\(676\) | −7.82597e9 | − | 8.91701e8i | −0.974372 | − | 0.111021i | ||||
\(677\) | −5.04476e9 | −0.624856 | −0.312428 | − | 0.949941i | \(-0.601142\pi\) | ||||
−0.312428 | + | 0.949941i | \(0.601142\pi\) | |||||||
\(678\) | 1.11834e9 | − | 1.93702e9i | 0.137807 | − | 0.238688i | ||||
\(679\) | 1.36082e8 | − | 2.35701e8i | 0.0166824 | − | 0.0288947i | ||||
\(680\) | 1.84746e9 | + | 3.19990e9i | 0.225318 | + | 0.390261i | ||||
\(681\) | −1.68602e8 | −0.0204573 | ||||||||
\(682\) | −1.80432e7 | − | 3.12517e7i | −0.00217805 | − | 0.00377249i | ||||
\(683\) | −2.23129e9 | − | 3.86470e9i | −0.267968 | − | 0.464134i | 0.700369 | − | 0.713781i | \(-0.253019\pi\) |
−0.968337 | + | 0.249647i | \(0.919685\pi\) | |||||||
\(684\) | 1.99471e10 | 2.38333 | ||||||||
\(685\) | −5.24795e9 | − | 9.08972e9i | −0.623840 | − | 1.08052i | ||||
\(686\) | −3.17319e7 | + | 5.49612e7i | −0.00375285 | + | 0.00650013i | ||||
\(687\) | −1.42907e10 | + | 2.47523e10i | −1.68154 | + | 2.91250i | ||||
\(688\) | 6.21624e9 | 0.727727 | ||||||||
\(689\) | 2.60521e9 | + | 5.16868e9i | 0.303442 | + | 0.602022i | ||||
\(690\) | −5.40887e9 | −0.626808 | ||||||||
\(691\) | 2.74517e9 | − | 4.75478e9i | 0.316516 | − | 0.548223i | −0.663242 | − | 0.748405i | \(-0.730820\pi\) |
0.979759 | + | 0.200182i | \(0.0641534\pi\) | |||||||
\(692\) | 2.49524e9 | − | 4.32188e9i | 0.286247 | − | 0.495794i | ||||
\(693\) | −7.84513e8 | − | 1.35882e9i | −0.0895435 | − | 0.155094i | ||||
\(694\) | −1.43032e9 | −0.162434 | ||||||||
\(695\) | 4.50569e9 | + | 7.80409e9i | 0.509114 | + | 0.881811i | ||||
\(696\) | −2.79424e9 | − | 4.83977e9i | −0.314146 | − | 0.544117i | ||||
\(697\) | −3.68741e8 | −0.0412483 | ||||||||
\(698\) | −1.11629e9 | − | 1.93346e9i | −0.124246 | − | 0.215200i | ||||
\(699\) | −5.88882e9 | + | 1.01997e10i | −0.652165 | + | 1.12958i | ||||
\(700\) | −1.98175e9 | + | 3.43250e9i | −0.218377 | + | 0.378240i | ||||
\(701\) | −9.96077e9 | −1.09214 | −0.546072 | − | 0.837738i | \(-0.683877\pi\) | ||||
−0.546072 | + | 0.837738i | \(0.683877\pi\) | |||||||
\(702\) | 4.85433e9 | + | 2.75662e8i | 0.529602 | + | 0.0300744i | ||||
\(703\) | −1.39466e10 | −1.51399 | ||||||||
\(704\) | −6.64078e8 | + | 1.15022e9i | −0.0717324 | + | 0.124244i | ||||
\(705\) | 4.86263e9 | − | 8.42231e9i | 0.522648 | − | 0.905252i | ||||
\(706\) | −7.35820e8 | − | 1.27448e9i | −0.0786964 | − | 0.136306i | ||||
\(707\) | −5.04506e9 | −0.536906 | ||||||||
\(708\) | 7.92838e9 | + | 1.37324e10i | 0.839591 | + | 1.45421i | ||||
\(709\) | −7.59839e9 | − | 1.31608e10i | −0.800681 | − | 1.38682i | −0.919168 | − | 0.393865i | \(-0.871138\pi\) |
0.118487 | − | 0.992956i | \(-0.462196\pi\) | |||||||
\(710\) | 2.48616e9 | 0.260690 | ||||||||
\(711\) | 1.48259e10 | + | 2.56793e10i | 1.54696 | + | 2.67941i | ||||
\(712\) | 5.18875e8 | − | 8.98717e8i | 0.0538744 | − | 0.0933132i | ||||
\(713\) | 1.44397e9 | − | 2.50103e9i | 0.149192 | − | 0.258407i | ||||
\(714\) | 1.12284e9 | 0.115445 | ||||||||
\(715\) | −2.33229e9 | − | 1.32443e8i | −0.238622 | − | 0.0135506i | ||||
\(716\) | −8.38040e8 | −0.0853236 | ||||||||
\(717\) | −1.03662e10 | + | 1.79548e10i | −1.05028 | + | 1.81913i | ||||
\(718\) | −1.34838e9 | + | 2.33546e9i | −0.135949 | + | 0.235471i | ||||
\(719\) | −5.70287e9 | − | 9.87766e9i | −0.572193 | − | 0.991067i | −0.996340 | − | 0.0854741i | \(-0.972760\pi\) |
0.424147 | − | 0.905593i | \(-0.360574\pi\) | |||||||
\(720\) | 4.07590e10 | 4.06968 | ||||||||
\(721\) | −2.19240e9 | − | 3.79734e9i | −0.217844 | − | 0.377317i | ||||
\(722\) | −2.17963e8 | − | 3.77523e8i | −0.0215528 | − | 0.0373305i | ||||
\(723\) | 2.51140e10 | 2.47133 | ||||||||
\(724\) | 2.24006e9 | + | 3.87990e9i | 0.219369 | + | 0.379958i | ||||
\(725\) | 6.96228e9 | − | 1.20590e10i | 0.678529 | − | 1.17525i | ||||
\(726\) | 1.38266e9 | − | 2.39484e9i | 0.134103 | − | 0.232273i | ||||
\(727\) | 4.00392e9 | 0.386470 | 0.193235 | − | 0.981153i | \(-0.438102\pi\) | ||||
0.193235 | + | 0.981153i | \(0.438102\pi\) | |||||||
\(728\) | 5.93988e8 | − | 9.05977e8i | 0.0570582 | − | 0.0870277i | ||||
\(729\) | 6.27718e10 | 6.00093 | ||||||||
\(730\) | −1.06786e9 | + | 1.84959e9i | −0.101598 | + | 0.175973i | ||||
\(731\) | 4.52194e9 | − | 7.83224e9i | 0.428168 | − | 0.741609i | ||||
\(732\) | −5.88913e9 | − | 1.02003e10i | −0.554961 | − | 0.961220i | ||||
\(733\) | 6.39232e9 | 0.599508 | 0.299754 | − | 0.954017i | \(-0.403095\pi\) | ||||
0.299754 | + | 0.954017i | \(0.403095\pi\) | |||||||
\(734\) | −2.37540e8 | − | 4.11431e8i | −0.0221718 | − | 0.0384026i | ||||
\(735\) | 2.24858e9 | + | 3.89466e9i | 0.208883 | + | 0.361796i | ||||
\(736\) | 6.77668e9 | 0.626534 | ||||||||
\(737\) | 3.87903e8 | + | 6.71868e8i | 0.0356933 | + | 0.0618226i | ||||
\(738\) | 8.25966e7 | − | 1.43061e8i | 0.00756423 | − | 0.0131016i | ||||
\(739\) | 9.42589e9 | − | 1.63261e10i | 0.859146 | − | 1.48808i | −0.0135983 | − | 0.999908i | \(-0.504329\pi\) |
0.872744 | − | 0.488177i | \(-0.162338\pi\) | |||||||
\(740\) | −2.90821e10 | −2.63825 | ||||||||
\(741\) | −8.20417e9 | − | 1.62769e10i | −0.740748 | − | 1.46963i | ||||
\(742\) | −3.94161e8 | −0.0354210 | ||||||||
\(743\) | −1.26089e9 | + | 2.18392e9i | −0.112776 | + | 0.195333i | −0.916888 | − | 0.399144i | \(-0.869307\pi\) |
0.804113 | + | 0.594477i | \(0.202641\pi\) | |||||||
\(744\) | 5.92935e8 | − | 1.02699e9i | 0.0527840 | − | 0.0914245i | ||||
\(745\) | −1.49221e9 | − | 2.58458e9i | −0.132216 | − | 0.229004i | ||||
\(746\) | −1.62679e9 | −0.143465 | ||||||||
\(747\) | −1.12053e10 | − | 1.94082e10i | −0.983565 | − | 1.70359i | ||||
\(748\) | 1.00789e9 | + | 1.74572e9i | 0.0880560 | + | 0.152517i | ||||
\(749\) | 4.30443e9 | 0.374308 | ||||||||
\(750\) | −4.18727e8 | − | 7.25257e8i | −0.0362424 | − | 0.0627737i | ||||
\(751\) | −5.39353e9 | + | 9.34187e9i | −0.464658 | + | 0.804812i | −0.999186 | − | 0.0403392i | \(-0.987156\pi\) |
0.534528 | + | 0.845151i | \(0.320489\pi\) | |||||||
\(752\) | −1.96416e9 | + | 3.40203e9i | −0.168428 | + | 0.291726i | ||||
\(753\) | −1.22680e10 | −1.04711 | ||||||||
\(754\) | −1.03322e9 | + | 1.57591e9i | −0.0877793 | + | 0.133885i | ||||
\(755\) | 2.49054e9 | 0.210610 | ||||||||
\(756\) | 8.40201e9 | − | 1.45527e10i | 0.707224 | − | 1.22495i | ||||
\(757\) | −9.71549e9 | + | 1.68277e10i | −0.814009 | + | 1.40990i | 0.0960286 | + | 0.995379i | \(0.469386\pi\) |
−0.910037 | + | 0.414526i | \(0.863947\pi\) | |||||||
\(758\) | −1.58433e9 | − | 2.74414e9i | −0.132131 | − | 0.228857i | ||||
\(759\) | −5.95981e9 | −0.494750 | ||||||||
\(760\) | 2.04232e9 | + | 3.53741e9i | 0.168763 | + | 0.292306i | ||||
\(761\) | 4.98764e9 | + | 8.63885e9i | 0.410251 | + | 0.710575i | 0.994917 | − | 0.100699i | \(-0.0321079\pi\) |
−0.584666 | + | 0.811274i | \(0.698775\pi\) | |||||||
\(762\) | −3.21133e8 | −0.0262932 | ||||||||
\(763\) | 1.63490e9 | + | 2.83172e9i | 0.133246 | + | 0.230789i | ||||
\(764\) | −3.64010e9 | + | 6.30484e9i | −0.295316 | + | 0.511502i | ||||
\(765\) | 2.96497e10 | − | 5.13548e10i | 2.39445 | − | 4.14731i | ||||
\(766\) | −1.69307e9 | −0.136105 | ||||||||
\(767\) | 5.92106e9 | − | 9.03106e9i | 0.473823 | − | 0.722695i | ||||
\(768\) | −2.02051e10 | −1.60952 | ||||||||
\(769\) | 8.90393e9 | − | 1.54221e10i | 0.706057 | − | 1.22293i | −0.260252 | − | 0.965541i | \(-0.583806\pi\) |
0.966309 | − | 0.257386i | \(-0.0828611\pi\) | |||||||
\(770\) | 7.95403e7 | − | 1.37768e8i | 0.00627870 | − | 0.0108750i | ||||
\(771\) | −1.03820e10 | − | 1.79821e10i | −0.815811 | − | 1.41303i | ||||
\(772\) | 1.57965e10 | 1.23566 | ||||||||
\(773\) | −9.73067e9 | − | 1.68540e10i | −0.757730 | − | 1.31243i | −0.944006 | − | 0.329929i | \(-0.892975\pi\) |
0.186276 | − | 0.982497i | \(-0.440358\pi\) | |||||||
\(774\) | 2.02580e9 | + | 3.50879e9i | 0.157037 | + | 0.271997i | ||||
\(775\) | 2.95478e9 | 0.228018 | ||||||||
\(776\) | −1.58188e8 | − | 2.73990e8i | −0.0121523 | − | 0.0210484i | ||||
\(777\) | −8.92473e9 | + | 1.54581e10i | −0.682529 | + | 1.18218i | ||||
\(778\) | 9.46845e8 | − | 1.63998e9i | 0.0720859 | − | 0.124856i | ||||
\(779\) | −4.07633e8 | −0.0308950 | ||||||||
\(780\) | −1.71078e10 | − | 3.39414e10i | −1.29081 | − | 2.56094i | ||||
\(781\) | 2.73940e9 | 0.205767 | ||||||||
\(782\) | 1.58932e9 | − | 2.75278e9i | 0.118847 | − | 0.205848i | ||||
\(783\) | −2.95178e10 | + | 5.11264e10i | −2.19745 | + | 3.80609i | ||||
\(784\) | −9.08271e8 | − | 1.57317e9i | −0.0673146 | − | 0.116592i | ||||
\(785\) | 3.29324e10 | 2.42985 | ||||||||
\(786\) | −2.17729e8 | − | 3.77117e8i | −0.0159932 | − | 0.0277011i | ||||
\(787\) | −1.01077e10 | − | 1.75071e10i | −0.739167 | − | 1.28027i | −0.952871 | − | 0.303376i | \(-0.901886\pi\) |
0.213704 | − | 0.976898i | \(-0.431447\pi\) | |||||||
\(788\) | 1.29540e10 | 0.943108 | ||||||||
\(789\) | −1.68138e9 | − | 2.91223e9i | −0.121870 | − | 0.211084i | ||||
\(790\) | −1.50317e9 | + | 2.60357e9i | −0.108471 | + | 0.187878i | ||||
\(791\) | −2.63226e9 | + | 4.55922e9i | −0.189109 | + | 0.327546i | ||||
\(792\) | −1.82391e9 | −0.130456 | ||||||||
\(793\) | −4.39811e9 | + | 6.70820e9i | −0.313192 | + | 0.477694i | ||||
\(794\) | 2.60061e9 | 0.184375 | ||||||||
\(795\) | −1.39655e10 | + | 2.41890e10i | −0.985761 | + | 1.70739i | ||||
\(796\) | −2.67934e9 | + | 4.64075e9i | −0.188292 | + | 0.326131i | ||||
\(797\) | −1.44087e9 | − | 2.49566e9i | −0.100814 | − | 0.174615i | 0.811206 | − | 0.584760i | \(-0.198811\pi\) |
−0.912020 | + | 0.410145i | \(0.865478\pi\) | |||||||
\(798\) | 1.24127e9 | 0.0864679 | ||||||||
\(799\) | 2.85762e9 | + | 4.94955e9i | 0.198194 | + | 0.343282i | ||||
\(800\) | 3.46676e9 | + | 6.00461e9i | 0.239392 | + | 0.414639i | ||||
\(801\) | −1.66547e10 | −1.14505 | ||||||||
\(802\) | 6.50486e8 | + | 1.12667e9i | 0.0445274 | + | 0.0771237i | ||||
\(803\) | −1.17663e9 | + | 2.03799e9i | −0.0801932 | + | 0.138899i | ||||
\(804\) | −6.31146e9 | + | 1.09318e10i | −0.428286 | + | 0.741813i | ||||
\(805\) | 1.27310e10 | 0.860154 | ||||||||
\(806\) | −3.99228e8 | − | 2.26709e7i | −0.0268564 | − | 0.00152509i | ||||
\(807\) | 6.82236e9 | 0.456959 | ||||||||
\(808\) | −2.93231e9 | + | 5.07890e9i | −0.195555 | + | 0.338712i | ||||
\(809\) | 1.09420e10 | − | 1.89521e10i | 0.726568 | − | 1.25845i | −0.231757 | − | 0.972774i | \(-0.574447\pi\) |
0.958325 | − | 0.285680i | \(-0.0922193\pi\) | |||||||
\(810\) | 7.19160e9 | + | 1.24562e10i | 0.475475 | + | 0.823547i | ||||
\(811\) | 3.65958e9 | 0.240912 | 0.120456 | − | 0.992719i | \(-0.461564\pi\) | ||||
0.120456 | + | 0.992719i | \(0.461564\pi\) | |||||||
\(812\) | 3.25635e9 | + | 5.64017e9i | 0.213445 | + | 0.369697i | ||||
\(813\) | −1.31216e10 | − | 2.27273e10i | −0.856389 | − | 1.48331i | ||||
\(814\) | 6.31398e8 | 0.0410316 | ||||||||
\(815\) | 7.47890e9 | + | 1.29538e10i | 0.483934 | + | 0.838198i | ||||
\(816\) | −1.60697e10 | + | 2.78335e10i | −1.03536 | + | 1.79329i | ||||
\(817\) | 4.99889e9 | − | 8.65833e9i | 0.320698 | − | 0.555465i | ||||
\(818\) | −3.81088e9 | −0.243438 | ||||||||
\(819\) | −1.73583e10 | − | 9.85726e8i | −1.10412 | − | 0.0626993i | ||||
\(820\) | −8.50017e8 | −0.0538368 | ||||||||
\(821\) | −8.96143e9 | + | 1.55216e10i | −0.565166 | + | 0.978896i | 0.431868 | + | 0.901937i | \(0.357855\pi\) |
−0.997034 | + | 0.0769597i | \(0.975479\pi\) | |||||||
\(822\) | −1.85385e9 | + | 3.21096e9i | −0.116419 | + | 0.201643i | ||||
\(823\) | −1.35058e10 | − | 2.33927e10i | −0.844540 | − | 1.46279i | −0.886020 | − | 0.463647i | \(-0.846541\pi\) |
0.0414801 | − | 0.999139i | \(-0.486793\pi\) | |||||||
\(824\) | −5.09709e9 | −0.317378 | ||||||||
\(825\) | −3.04888e9 | − | 5.28081e9i | −0.189039 | − | 0.327425i | ||||
\(826\) | 3.67698e8 | + | 6.36871e8i | 0.0227018 | + | 0.0393207i | ||||
\(827\) | 7.84649e9 | 0.482399 | 0.241200 | − | 0.970476i | \(-0.422459\pi\) | ||||
0.241200 | + | 0.970476i | \(0.422459\pi\) | |||||||
\(828\) | −3.61352e10 | − | 6.25880e10i | −2.21220 | − | 3.83164i | ||||
\(829\) | 6.05494e7 | − | 1.04875e8i | 0.00369121 | − | 0.00639336i | −0.864174 | − | 0.503193i | \(-0.832158\pi\) |
0.867865 | + | 0.496800i | \(0.165492\pi\) | |||||||
\(830\) | 1.13609e9 | − | 1.96776e9i | 0.0689666 | − | 0.119454i | ||||
\(831\) | 1.63961e10 | 0.991147 | ||||||||
\(832\) | 6.62417e9 | + | 1.31422e10i | 0.398749 | + | 0.791110i | ||||
\(833\) | −2.64285e9 | −0.158422 | ||||||||
\(834\) | 1.59164e9 | − | 2.75680e9i | 0.0950089 | − | 0.164560i | ||||
\(835\) | −1.35264e10 | + | 2.34285e10i | −0.804046 | + | 1.39265i | ||||
\(836\) | 1.11420e9 | + | 1.92985e9i | 0.0659539 | + | 0.114236i | ||||
\(837\) | −1.25273e10 | −0.738446 | ||||||||
\(838\) | 1.13983e9 | + | 1.97424e9i | 0.0669091 | + | 0.115890i | ||||
\(839\) | −1.09639e10 | − | 1.89900e10i | −0.640911 | − | 1.11009i | −0.985230 | − | 0.171237i | \(-0.945224\pi\) |
0.344319 | − | 0.938853i | \(-0.388110\pi\) | |||||||
\(840\) | 5.22771e9 | 0.304322 | ||||||||
\(841\) | −2.81525e9 | − | 4.87616e9i | −0.163204 | − | 0.282678i | ||||
\(842\) | 1.61564e9 | − | 2.79836e9i | 0.0932720 | − | 0.161552i | ||||
\(843\) | −1.44394e10 | + | 2.50098e10i | −0.830144 | + | 1.43785i | ||||
\(844\) | −1.59320e10 | −0.912164 | ||||||||
\(845\) | −1.53975e10 | + | 2.08082e10i | −0.877912 | + | 1.18642i | ||||
\(846\) | −2.56039e9 | −0.145382 | ||||||||
\(847\) | −3.25441e9 | + | 5.63680e9i | −0.184026 | + | 0.318743i | ||||
\(848\) | 5.64109e9 | − | 9.77066e9i | 0.317671 | − | 0.550223i | ||||
\(849\) | 1.17605e10 | + | 2.03698e10i | 0.659553 | + | 1.14238i | ||||
\(850\) | 3.25220e9 | 0.181640 | ||||||||
\(851\) | 2.52649e10 | + | 4.37601e10i | 1.40529 | + | 2.43403i | ||||
\(852\) | 2.22860e10 | + | 3.86004e10i | 1.23451 | + | 2.13823i | ||||
\(853\) | 3.14953e9 | 0.173749 | 0.0868747 | − | 0.996219i | \(-0.472312\pi\) | ||||
0.0868747 | + | 0.996219i | \(0.472312\pi\) | |||||||
\(854\) | −2.73123e8 | − | 4.73062e8i | −0.0150057 | − | 0.0259906i | ||||
\(855\) | 3.27770e10 | − | 5.67714e10i | 1.79344 | − | 3.10633i | ||||
\(856\) | 2.50183e9 | − | 4.33330e9i | 0.136333 | − | 0.236135i | ||||
\(857\) | 3.05683e10 | 1.65897 | 0.829484 | − | 0.558531i | \(-0.188635\pi\) | ||||
0.829484 | + | 0.558531i | \(0.188635\pi\) | |||||||
\(858\) | 3.71424e8 | + | 7.36897e8i | 0.0200754 | + | 0.0398292i | ||||
\(859\) | −1.03261e10 | −0.555851 | −0.277926 | − | 0.960603i | \(-0.589647\pi\) | ||||
−0.277926 | + | 0.960603i | \(0.589647\pi\) | |||||||
\(860\) | 1.04239e10 | − | 1.80548e10i | 0.558840 | − | 0.967939i | ||||
\(861\) | −2.60853e8 | + | 4.51811e8i | −0.0139279 | + | 0.0241238i | ||||
\(862\) | 2.03476e9 | + | 3.52431e9i | 0.108203 | + | 0.187412i | ||||
\(863\) | −1.31274e10 | −0.695253 | −0.347626 | − | 0.937633i | \(-0.613012\pi\) | ||||
−0.347626 | + | 0.937633i | \(0.613012\pi\) | |||||||
\(864\) | −1.46980e10 | − | 2.54576e10i | −0.775281 | − | 1.34283i | ||||
\(865\) | −8.20032e9 | − | 1.42034e10i | −0.430799 | − | 0.746165i | ||||
\(866\) | −6.91829e8 | −0.0361981 | ||||||||
\(867\) | 4.36828e9 | + | 7.56609e9i | 0.227638 | + | 0.394280i | ||||
\(868\) | −6.90995e8 | + | 1.19684e9i | −0.0358638 | + | 0.0621179i | ||||
\(869\) | −1.65629e9 | + | 2.86877e9i | −0.0856182 | + | 0.148295i | ||||
\(870\) | −9.09338e9 | −0.468175 | ||||||||
\(871\) | 8.58284e9 | + | 4.87393e8i | 0.440117 | + | 0.0249928i | ||||
\(872\) | 3.80096e9 | 0.194127 | ||||||||
\(873\) | −2.53874e9 | + | 4.39723e9i | −0.129142 | + | 0.223681i | ||||
\(874\) | 1.75695e9 | − | 3.04312e9i | 0.0890161 | − | 0.154180i | ||||
\(875\) | 9.85568e8 | + | 1.70705e9i | 0.0497346 | + | 0.0861428i | ||||
\(876\) | −3.82894e10 | −1.92448 | ||||||||
\(877\) | 7.02607e9 | + | 1.21695e10i | 0.351734 | + | 0.609221i | 0.986553 | − | 0.163440i | \(-0.0522589\pi\) |
−0.634820 | + | 0.772660i | \(0.718926\pi\) | |||||||
\(878\) | 3.15568e8 | + | 5.46580e8i | 0.0157348 | + | 0.0272536i | ||||
\(879\) | 1.89053e10 | 0.938909 | ||||||||
\(880\) | 2.27670e9 | + | 3.94337e9i | 0.112620 | + | 0.195064i | ||||
\(881\) | 4.79813e9 | − | 8.31060e9i | 0.236405 | − | 0.409465i | −0.723275 | − | 0.690560i | \(-0.757364\pi\) |
0.959680 | + | 0.281095i | \(0.0906976\pi\) | |||||||
\(882\) | 5.91989e8 | − | 1.02535e9i | 0.0290518 | − | 0.0503192i | ||||
\(883\) | −2.12793e10 | −1.04015 | −0.520074 | − | 0.854121i | \(-0.674096\pi\) | ||||
−0.520074 | + | 0.854121i | \(0.674096\pi\) | |||||||
\(884\) | 2.23009e10 | + | 1.26640e9i | 1.08577 | + | 0.0616577i | ||||
\(885\) | 5.21115e10 | 2.52715 | ||||||||
\(886\) | −1.45560e9 | + | 2.52117e9i | −0.0703112 | + | 0.121783i | ||||
\(887\) | 7.87765e9 | − | 1.36445e10i | 0.379021 | − | 0.656484i | −0.611899 | − | 0.790936i | \(-0.709594\pi\) |
0.990920 | + | 0.134452i | \(0.0429273\pi\) | |||||||
\(888\) | 1.03745e10 | + | 1.79692e10i | 0.497190 | + | 0.861159i | ||||
\(889\) | 7.55859e8 | 0.0360815 | ||||||||
\(890\) | −8.44294e8 | − | 1.46236e9i | −0.0401447 | − | 0.0695327i | ||||
\(891\) | 7.92413e9 | + | 1.37250e10i | 0.375301 | + | 0.650040i | ||||
\(892\) | −2.30553e9 | −0.108766 | ||||||||
\(893\) | 3.15902e9 | + | 5.47159e9i | 0.148447 | + | 0.257119i | ||||
\(894\) | −5.27125e8 | + | 9.13008e8i | −0.0246736 | + | 0.0427359i | ||||
\(895\) | −1.37706e9 | + | 2.38514e9i | −0.0642057 | + | 0.111207i | ||||
\(896\) | −4.30902e9 | −0.200125 | ||||||||
\(897\) | −3.62096e10 | + | 5.52286e10i | −1.67514 | + | 2.55500i | ||||
\(898\) | 3.07396e9 | 0.141655 | ||||||||
\(899\) | 2.42760e9 | − | 4.20472e9i | 0.111434 | − | 0.193009i | ||||
\(900\) | 3.69715e10 | − | 6.40366e10i | 1.69051 | − | 2.92806i | ||||
\(901\) | −8.20711e9 | − | 1.42151e10i | −0.373812 | − | 0.647462i | ||||
\(902\) | 1.84546e7 | 0.000837302 | ||||||||
\(903\) | −6.39780e9 | − | 1.10813e10i | −0.289150 | − | 0.500823i | ||||
\(904\) | 3.05987e9 | + | 5.29985e9i | 0.137757 | + | 0.238602i | ||||
\(905\) | 1.47234e10 | 0.660296 | ||||||||
\(906\) | −4.39893e8 | − | 7.61917e8i | −0.0196516 | − | 0.0340376i | ||||
\(907\) | −8.84112e9 | + | 1.53133e10i | −0.393443 | + | 0.681463i | −0.992901 | − | 0.118943i | \(-0.962049\pi\) |
0.599458 | + | 0.800406i | \(0.295383\pi\) | |||||||
\(908\) | 1.14202e8 | − | 1.97803e8i | 0.00506259 | − | 0.00876866i | ||||
\(909\) | 9.41204e10 | 4.15633 | ||||||||
\(910\) | −7.93413e8 | − | 1.57411e9i | −0.0349023 | − | 0.0692455i | ||||
\(911\) | 3.83300e10 | 1.67967 | 0.839836 | − | 0.542840i | \(-0.182651\pi\) | ||||
0.839836 | + | 0.542840i | \(0.182651\pi\) | |||||||
\(912\) | −1.77646e10 | + | 3.07691e10i | −0.775484 | + | 1.34318i | ||||
\(913\) | 1.25181e9 | − | 2.16820e9i | 0.0544365 | − | 0.0942868i | ||||
\(914\) | 6.55781e8 | + | 1.13585e9i | 0.0284084 | + | 0.0492048i | ||||
\(915\) | −3.87079e10 | −1.67042 | ||||||||
\(916\) | −1.93595e10 | − | 3.35317e10i | −0.832264 | − | 1.44152i | ||||
\(917\) | 5.12473e8 | + | 8.87629e8i | 0.0219472 | + | 0.0380136i | ||||
\(918\) | −1.37883e10 | −0.588249 | ||||||||
\(919\) | 1.29716e10 | + | 2.24674e10i | 0.551300 | + | 0.954879i | 0.998181 | + | 0.0602860i | \(0.0192013\pi\) |
−0.446881 | + | 0.894593i | \(0.647465\pi\) | |||||||
\(920\) | 7.39954e9 | − | 1.28164e10i | 0.313290 | − | 0.542635i | ||||
\(921\) | −2.35395e10 | + | 4.07717e10i | −0.992863 | + | 1.71969i | ||||
\(922\) | −3.85827e9 | −0.162119 | ||||||||
\(923\) | 1.66436e10 | − | 2.53855e10i | 0.696692 | − | 1.06263i | ||||
\(924\) | 2.85200e9 | 0.118932 | ||||||||
\(925\) | −2.58497e10 | + | 4.47730e10i | −1.07389 | + | 1.86003i | ||||
\(926\) | 2.07543e9 | − | 3.59475e9i | 0.0858953 | − | 0.148775i | ||||
\(927\) | 4.09013e10 | + | 7.08431e10i | 1.68639 | + | 2.92091i | ||||
\(928\) | 1.13929e10 | 0.467970 | ||||||||
\(929\) | −1.08734e10 | − | 1.88332e10i | −0.444947 | − | 0.770671i | 0.553101 | − | 0.833114i | \(-0.313444\pi\) |
−0.998049 | + | 0.0624426i | \(0.980111\pi\) | |||||||
\(930\) | −9.64803e8 | − | 1.67109e9i | −0.0393322 | − | 0.0681254i | ||||
\(931\) | −2.92160e9 | −0.118658 | ||||||||
\(932\) | −7.97753e9 | − | 1.38175e10i | −0.322785 | − | 0.559079i | ||||
\(933\) | −5.30162e9 | + | 9.18268e9i | −0.213709 | + | 0.370155i | ||||
\(934\) | −1.75336e9 | + | 3.03691e9i | −0.0704137 | + | 0.121960i | ||||
\(935\) | 6.62466e9 | 0.265047 | ||||||||
\(936\) | −1.10814e10 | + | 1.69019e10i | −0.441702 | + | 0.673704i | ||||
\(937\) | −3.42724e10 | −1.36099 | −0.680497 | − | 0.732750i | \(-0.738236\pi\) | ||||
−0.680497 | + | 0.732750i | \(0.738236\pi\) | |||||||
\(938\) | −2.92709e8 | + | 5.06987e8i | −0.0115805 | + | 0.0200580i | ||||
\(939\) | 6.11923e9 | − | 1.05988e10i | 0.241194 | − | 0.417761i | ||||
\(940\) | 6.58736e9 | + | 1.14096e10i | 0.258681 | + | 0.448048i | ||||
\(941\) | −2.68319e8 | −0.0104976 | −0.00524878 | − | 0.999986i | \(-0.501671\pi\) | ||||
−0.00524878 | + | 0.999986i | \(0.501671\pi\) | |||||||
\(942\) | −5.81671e9 | − | 1.00748e10i | −0.226725 | − | 0.392699i | ||||
\(943\) | 7.38447e8 | + | 1.27903e9i | 0.0286767 | + | 0.0496694i | ||||
\(944\) | −2.10494e10 | −0.814401 | ||||||||
\(945\) | −2.76123e10 | − | 4.78258e10i | −1.06437 | − | 1.84353i | ||||
\(946\) | −2.26313e8 | + | 3.91985e8i | −0.00869141 | + | 0.0150540i | ||||
\(947\) | −5.35356e9 | + | 9.27265e9i | −0.204842 | + | 0.354796i | −0.950082 | − | 0.312000i | \(-0.899001\pi\) |
0.745241 | + | 0.666796i | \(0.232335\pi\) | |||||||
\(948\) | −5.38979e10 | −2.05467 | ||||||||
\(949\) | 1.17369e10 | + | 2.32858e10i | 0.445782 | + | 0.884421i | ||||
\(950\) | 3.59522e9 | 0.136048 | ||||||||
\(951\) | 5.15810e10 | − | 8.93408e10i | 1.94472 | − | 3.36836i | ||||
\(952\) | −1.53609e9 | + | 2.66058e9i | −0.0577014 | + | 0.0999417i | ||||
\(953\) | −5.79739e9 | − | 1.00414e10i | −0.216974 | − | 0.375810i | 0.736907 | − | 0.675994i | \(-0.236285\pi\) |
−0.953881 | + | 0.300184i | \(0.902952\pi\) | |||||||
\(954\) | 7.35346e9 | 0.274203 | ||||||||
\(955\) | 1.19628e10 | + | 2.07202e10i | 0.444448 | + | 0.769806i | ||||
\(956\) | −1.40431e10 | − | 2.43233e10i | −0.519827 | − | 0.900367i | ||||
\(957\) | −1.00196e10 | −0.369538 | ||||||||
\(958\) | −1.63941e9 | − | 2.83954e9i | −0.0602431 | − | 0.104344i | ||||
\(959\) | 4.36344e9 | − | 7.55770e9i | 0.159759 | − | 0.276710i | ||||
\(960\) | −3.55095e10 | + | 6.15043e10i | −1.29538 | + | 2.24366i | ||||
\(961\) | −2.64823e10 | −0.962553 | ||||||||
\(962\) | 3.83615e9 | − | 5.85106e9i | 0.138926 | − | 0.211896i | ||||
\(963\) | −8.03032e10 | −2.89762 | ||||||||
\(964\) | −1.70108e10 | + | 2.94637e10i | −0.611584 | + | 1.05930i | ||||
\(965\) | 2.59567e10 | − | 4.49583e10i | 0.929830 | − | 1.61051i | ||||
\(966\) | −2.24862e9 | − | 3.89472e9i | −0.0802593 | − | 0.139013i | ||||
\(967\) | 5.89921e9 | 0.209798 | 0.104899 | − | 0.994483i | \(-0.466548\pi\) | ||||
0.104899 | + | 0.994483i | \(0.466548\pi\) | |||||||
\(968\) | 3.78308e9 | + | 6.55248e9i | 0.134054 | + | 0.232189i | ||||
\(969\) | 2.58453e10 | + | 4.47654e10i | 0.912533 | + | 1.58055i | ||||
\(970\) | −5.14797e8 | −0.0181107 | ||||||||
\(971\) | 2.09460e10 | + | 3.62796e10i | 0.734234 | + | 1.27173i | 0.955059 | + | 0.296417i | \(0.0957917\pi\) |
−0.220825 | + | 0.975313i | \(0.570875\pi\) | |||||||
\(972\) | −7.53593e10 | + | 1.30526e11i | −2.63211 | + | 4.55895i | ||||
\(973\) | −3.74628e9 | + | 6.48875e9i | −0.130378 | + | 0.225822i | ||||
\(974\) | 3.18154e9 | 0.110327 | ||||||||
\(975\) | −6.74602e10 | − | 3.83086e9i | −2.33094 | − | 0.132367i | ||||
\(976\) | 1.56353e10 | 0.538310 | ||||||||
\(977\) | 9.12501e8 | − | 1.58050e9i | 0.0313042 | − | 0.0542204i | −0.849949 | − | 0.526865i | \(-0.823367\pi\) |
0.881253 | + | 0.472645i | \(0.156701\pi\) | |||||||
\(978\) | 2.64193e9 | − | 4.57596e9i | 0.0903100 | − | 0.156421i | ||||
\(979\) | −9.30293e8 | − | 1.61131e9i | −0.0316869 | − | 0.0548834i | ||||
\(980\) | −6.09227e9 | −0.206770 | ||||||||
\(981\) | −3.05005e10 | − | 5.28285e10i | −1.03149 | − | 1.78660i | ||||
\(982\) | 6.34002e8 | + | 1.09812e9i | 0.0213649 | + | 0.0370051i | ||||
\(983\) | 1.16115e10 | 0.389899 | 0.194950 | − | 0.980813i | \(-0.437546\pi\) | ||||
0.194950 | + | 0.980813i | \(0.437546\pi\) | |||||||
\(984\) | 3.03228e8 | + | 5.25206e8i | 0.0101458 | + | 0.0175730i | ||||
\(985\) | 2.12859e10 | − | 3.68683e10i | 0.709685 | − | 1.22921i | ||||
\(986\) | 2.67196e9 | − | 4.62796e9i | 0.0887687 | − | 0.153752i | ||||
\(987\) | 8.08612e9 | 0.267689 | ||||||||
\(988\) | 2.46531e10 | + | 1.39997e9i | 0.813245 | + | 0.0461817i | ||||
\(989\) | −3.62229e10 | −1.19068 | ||||||||
\(990\) | −1.48390e9 | + | 2.57019e9i | −0.0486051 | + | 0.0841864i | ||||
\(991\) | −1.80749e10 | + | 3.13067e10i | −0.589955 | + | 1.02183i | 0.404283 | + | 0.914634i | \(0.367521\pi\) |
−0.994238 | + | 0.107198i | \(0.965812\pi\) | |||||||
\(992\) | 1.20879e9 | + | 2.09368e9i | 0.0393150 | + | 0.0680956i | ||||
\(993\) | −1.88393e10 | −0.610580 | ||||||||
\(994\) | 1.03357e9 | + | 1.79019e9i | 0.0333800 | + | 0.0578158i | ||||
\(995\) | 8.80534e9 | + | 1.52513e10i | 0.283378 | + | 0.490824i | ||||
\(996\) | 4.07357e10 | 1.30637 | ||||||||
\(997\) | 3.66372e9 | + | 6.34574e9i | 0.117082 | + | 0.202791i | 0.918610 | − | 0.395165i | \(-0.129313\pi\) |
−0.801528 | + | 0.597957i | \(0.795979\pi\) | |||||||
\(998\) | 7.38870e8 | − | 1.27976e9i | 0.0235294 | − | 0.0407541i | ||||
\(999\) | 1.09594e11 | − | 1.89823e11i | 3.47784 | − | 6.02379i |
(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 | 91.8.f.a.22.14 | ✓ | 48 | |
13.3 | even | 3 | inner | 91.8.f.a.29.14 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.8.f.a.22.14 | ✓ | 48 | 1.1 | even | 1 | trivial | |
91.8.f.a.29.14 | yes | 48 | 13.3 | even | 3 | inner |