Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,7,Mod(3,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.22075717068\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 285x^{6} + 282x^{5} + 62091x^{4} + 29260x^{3} + 4838750x^{2} + 2401000x + 294122500 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Root | \(7.51287 - 13.0127i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.3 |
Dual form | 14.7.d.a.5.4 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.82843 | + | 4.89898i | 0.353553 | + | 0.612372i | ||||
\(3\) | 21.8891 | + | 12.6377i | 0.810708 | + | 0.468063i | 0.847202 | − | 0.531271i | \(-0.178285\pi\) |
−0.0364935 | + | 0.999334i | \(0.511619\pi\) | |||||||
\(4\) | −16.0000 | + | 27.7128i | −0.250000 | + | 0.433013i | ||||
\(5\) | −10.7486 | + | 6.20573i | −0.0859892 | + | 0.0496459i | −0.542378 | − | 0.840135i | \(-0.682476\pi\) |
0.456389 | + | 0.889780i | \(0.349143\pi\) | |||||||
\(6\) | 142.979i | 0.661941i | ||||||||
\(7\) | 195.705 | + | 281.689i | 0.570567 | + | 0.821251i | ||||
\(8\) | −181.019 | −0.353553 | ||||||||
\(9\) | −45.0775 | − | 78.0766i | −0.0618347 | − | 0.107101i | ||||
\(10\) | −60.8035 | − | 35.1049i | −0.0608035 | − | 0.0351049i | ||||
\(11\) | 774.831 | − | 1342.05i | 0.582142 | − | 1.00830i | −0.413083 | − | 0.910693i | \(-0.635548\pi\) |
0.995225 | − | 0.0976064i | \(-0.0311186\pi\) | |||||||
\(12\) | −700.452 | + | 404.406i | −0.405354 | + | 0.234031i | ||||
\(13\) | − | 2770.09i | − | 1.26085i | −0.776249 | − | 0.630427i | \(-0.782880\pi\) | ||
0.776249 | − | 0.630427i | \(-0.217120\pi\) | |||||||
\(14\) | −826.452 | + | 1755.49i | −0.301185 | + | 0.639756i | ||||
\(15\) | −313.705 | −0.0929495 | ||||||||
\(16\) | −512.000 | − | 886.810i | −0.125000 | − | 0.216506i | ||||
\(17\) | −109.615 | − | 63.2864i | −0.0223113 | − | 0.0128814i | 0.488803 | − | 0.872394i | \(-0.337434\pi\) |
−0.511114 | + | 0.859513i | \(0.670767\pi\) | |||||||
\(18\) | 254.997 | − | 441.668i | 0.0437238 | − | 0.0757318i | ||||
\(19\) | −1147.81 | + | 662.687i | −0.167343 | + | 0.0966156i | −0.581332 | − | 0.813666i | \(-0.697468\pi\) |
0.413989 | + | 0.910282i | \(0.364135\pi\) | |||||||
\(20\) | − | 397.167i | − | 0.0496459i | ||||||
\(21\) | 723.904 | + | 8639.18i | 0.0781669 | + | 0.932856i | ||||
\(22\) | 8766.21 | 0.823273 | ||||||||
\(23\) | 7119.76 | + | 12331.8i | 0.585170 | + | 1.01354i | 0.994854 | + | 0.101316i | \(0.0323055\pi\) |
−0.409685 | + | 0.912227i | \(0.634361\pi\) | |||||||
\(24\) | −3962.35 | − | 2287.67i | −0.286629 | − | 0.165485i | ||||
\(25\) | −7735.48 | + | 13398.2i | −0.495071 | + | 0.857487i | ||||
\(26\) | 13570.6 | − | 7835.01i | 0.772112 | − | 0.445779i | ||||
\(27\) | − | 20704.5i | − | 1.05190i | ||||||
\(28\) | −10937.7 | + | 916.501i | −0.498254 | + | 0.0417502i | ||||
\(29\) | −7479.03 | −0.306656 | −0.153328 | − | 0.988175i | \(-0.548999\pi\) | ||||
−0.153328 | + | 0.988175i | \(0.548999\pi\) | |||||||
\(30\) | −887.290 | − | 1536.83i | −0.0328626 | − | 0.0569197i | ||||
\(31\) | −49241.9 | − | 28429.8i | −1.65291 | − | 0.954309i | −0.975866 | − | 0.218369i | \(-0.929927\pi\) |
−0.677046 | − | 0.735941i | \(-0.736740\pi\) | |||||||
\(32\) | 2896.31 | − | 5016.55i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 33920.8 | − | 19584.2i | 0.943895 | − | 0.544958i | ||||
\(34\) | − | 716.004i | − | 0.0182171i | ||||||
\(35\) | −3851.65 | − | 1813.28i | −0.0898343 | − | 0.0422924i | ||||
\(36\) | 2884.96 | 0.0618347 | ||||||||
\(37\) | 45005.7 | + | 77952.2i | 0.888511 | + | 1.53895i | 0.841636 | + | 0.540046i | \(0.181593\pi\) |
0.0468752 | + | 0.998901i | \(0.485074\pi\) | |||||||
\(38\) | −6492.98 | − | 3748.72i | −0.118329 | − | 0.0683176i | ||||
\(39\) | 35007.6 | − | 60634.9i | 0.590158 | − | 1.02218i | ||||
\(40\) | 1945.71 | − | 1123.36i | 0.0304018 | − | 0.0175525i | ||||
\(41\) | 35783.9i | 0.519202i | 0.965716 | + | 0.259601i | \(0.0835910\pi\) | ||||
−0.965716 | + | 0.259601i | \(0.916409\pi\) | |||||||
\(42\) | −40275.7 | + | 27981.7i | −0.543619 | + | 0.377682i | ||||
\(43\) | −79422.8 | −0.998942 | −0.499471 | − | 0.866331i | \(-0.666472\pi\) | ||||
−0.499471 | + | 0.866331i | \(0.666472\pi\) | |||||||
\(44\) | 24794.6 | + | 42945.5i | 0.291071 | + | 0.504150i | ||||
\(45\) | 969.044 | + | 559.478i | 0.0106342 | + | 0.00613968i | ||||
\(46\) | −40275.4 | + | 69759.1i | −0.413777 | + | 0.716684i | ||||
\(47\) | 126334. | − | 72939.0i | 1.21682 | − | 0.702532i | 0.252585 | − | 0.967575i | \(-0.418719\pi\) |
0.964237 | + | 0.265043i | \(0.0853861\pi\) | |||||||
\(48\) | − | 25882.0i | − | 0.234031i | ||||||
\(49\) | −41048.4 | + | 110256.i | −0.348906 | + | 0.937158i | ||||
\(50\) | −87516.9 | −0.700136 | ||||||||
\(51\) | −1599.59 | − | 2770.57i | −0.0120586 | − | 0.0208861i | ||||
\(52\) | 76767.1 | + | 44321.5i | 0.545966 | + | 0.315213i | ||||
\(53\) | 85090.3 | − | 147381.i | 0.571547 | − | 0.989949i | −0.424860 | − | 0.905259i | \(-0.639677\pi\) |
0.996407 | − | 0.0846900i | \(-0.0269900\pi\) | |||||||
\(54\) | 101431. | − | 58561.0i | 0.644152 | − | 0.371901i | ||||
\(55\) | 19233.6i | 0.115604i | ||||||||
\(56\) | −35426.3 | − | 50991.2i | −0.201726 | − | 0.290356i | ||||
\(57\) | −33499.3 | −0.180889 | ||||||||
\(58\) | −21153.9 | − | 36639.6i | −0.108419 | − | 0.187788i | ||||
\(59\) | −187919. | − | 108495.i | −0.914989 | − | 0.528269i | −0.0329557 | − | 0.999457i | \(-0.510492\pi\) |
−0.882033 | + | 0.471188i | \(0.843825\pi\) | |||||||
\(60\) | 5019.27 | − | 8693.64i | 0.0232374 | − | 0.0402483i | ||||
\(61\) | −172492. | + | 99588.5i | −0.759942 | + | 0.438753i | −0.829275 | − | 0.558841i | \(-0.811246\pi\) |
0.0693329 | + | 0.997594i | \(0.477913\pi\) | |||||||
\(62\) | − | 321647.i | − | 1.34960i | ||||||
\(63\) | 13171.4 | − | 27977.8i | 0.0526758 | − | 0.111890i | ||||
\(64\) | 32768.0 | 0.125000 | ||||||||
\(65\) | 17190.5 | + | 29774.8i | 0.0625962 | + | 0.108420i | ||||
\(66\) | 191885. | + | 110785.i | 0.667434 | + | 0.385343i | ||||
\(67\) | −72219.0 | + | 125087.i | −0.240119 | + | 0.415899i | −0.960748 | − | 0.277422i | \(-0.910520\pi\) |
0.720629 | + | 0.693321i | \(0.243853\pi\) | |||||||
\(68\) | 3507.69 | − | 2025.16i | 0.0111556 | − | 0.00644071i | ||||
\(69\) | 359909.i | 1.09558i | ||||||||
\(70\) | −2010.86 | − | 23997.9i | −0.00586255 | − | 0.0699647i | ||||
\(71\) | 407591. | 1.13880 | 0.569402 | − | 0.822059i | \(-0.307175\pi\) | ||||
0.569402 | + | 0.822059i | \(0.307175\pi\) | |||||||
\(72\) | 8159.90 | + | 14133.4i | 0.0218619 | + | 0.0378659i | ||||
\(73\) | −161733. | − | 93376.3i | −0.415747 | − | 0.240032i | 0.277509 | − | 0.960723i | \(-0.410491\pi\) |
−0.693256 | + | 0.720691i | \(0.743824\pi\) | |||||||
\(74\) | −254591. | + | 440964.i | −0.628272 | + | 1.08820i | ||||
\(75\) | −338646. | + | 195517.i | −0.802716 | + | 0.463448i | ||||
\(76\) | − | 42411.9i | − | 0.0966156i | ||||||
\(77\) | 529678. | − | 44383.4i | 1.16022 | − | 0.0972183i | ||||
\(78\) | 396066. | 0.834610 | ||||||||
\(79\) | −41929.3 | − | 72623.6i | −0.0850425 | − | 0.147298i | 0.820367 | − | 0.571838i | \(-0.193769\pi\) |
−0.905409 | + | 0.424540i | \(0.860436\pi\) | |||||||
\(80\) | 11006.6 | + | 6354.67i | 0.0214973 | + | 0.0124115i | ||||
\(81\) | 228795. | − | 396285.i | 0.430518 | − | 0.745679i | ||||
\(82\) | −175305. | + | 101212.i | −0.317945 | + | 0.183565i | ||||
\(83\) | 162495.i | 0.284188i | 0.989853 | + | 0.142094i | \(0.0453836\pi\) | ||||
−0.989853 | + | 0.142094i | \(0.954616\pi\) | |||||||
\(84\) | −250998. | − | 118165.i | −0.423480 | − | 0.199367i | ||||
\(85\) | 1570.95 | 0.00255804 | ||||||||
\(86\) | −224642. | − | 389091.i | −0.353179 | − | 0.611724i | ||||
\(87\) | −163709. | − | 94517.7i | −0.248609 | − | 0.143534i | ||||
\(88\) | −140259. | + | 242936.i | −0.205818 | + | 0.356488i | ||||
\(89\) | −439806. | + | 253922.i | −0.623866 | + | 0.360189i | −0.778373 | − | 0.627803i | \(-0.783954\pi\) |
0.154507 | + | 0.987992i | \(0.450621\pi\) | |||||||
\(90\) | 6329.77i | 0.00868281i | ||||||||
\(91\) | 780305. | − | 542120.i | 1.03548 | − | 0.719402i | ||||
\(92\) | −455665. | −0.585170 | ||||||||
\(93\) | −718575. | − | 1.24461e6i | −0.893353 | − | 1.54733i | ||||
\(94\) | 714653. | + | 412605.i | 0.860423 | + | 0.496765i | ||||
\(95\) | 8224.91 | − | 14246.0i | 0.00959313 | − | 0.0166158i | ||||
\(96\) | 126795. | − | 73205.3i | 0.143314 | − | 0.0827426i | ||||
\(97\) | − | 509740.i | − | 0.558514i | −0.960216 | − | 0.279257i | \(-0.909912\pi\) | ||
0.960216 | − | 0.279257i | \(-0.0900881\pi\) | |||||||
\(98\) | −656243. | + | 110755.i | −0.697246 | + | 0.117675i | ||||
\(99\) | −139710. | −0.143986 | ||||||||
\(100\) | −247535. | − | 428744.i | −0.247535 | − | 0.428744i | ||||
\(101\) | 1.35057e6 | + | 779754.i | 1.31085 | + | 0.756821i | 0.982237 | − | 0.187642i | \(-0.0600846\pi\) |
0.328616 | + | 0.944464i | \(0.393418\pi\) | |||||||
\(102\) | 9048.63 | − | 15672.7i | 0.00852673 | − | 0.0147687i | ||||
\(103\) | −629819. | + | 363626.i | −0.576374 | + | 0.332769i | −0.759691 | − | 0.650284i | \(-0.774650\pi\) |
0.183317 | + | 0.983054i | \(0.441316\pi\) | |||||||
\(104\) | 501441.i | 0.445779i | ||||||||
\(105\) | −61393.4 | − | 88367.1i | −0.0530339 | − | 0.0763348i | ||||
\(106\) | 962686. | 0.808290 | ||||||||
\(107\) | 874822. | + | 1.51524e6i | 0.714116 | + | 1.23688i | 0.963300 | + | 0.268428i | \(0.0865043\pi\) |
−0.249184 | + | 0.968456i | \(0.580162\pi\) | |||||||
\(108\) | 573779. | + | 331271.i | 0.455484 | + | 0.262974i | ||||
\(109\) | 386426. | − | 669309.i | 0.298392 | − | 0.516830i | −0.677376 | − | 0.735637i | \(-0.736883\pi\) |
0.975768 | + | 0.218807i | \(0.0702165\pi\) | |||||||
\(110\) | −94224.9 | + | 54400.8i | −0.0707926 | + | 0.0408721i | ||||
\(111\) | 2.27508e6i | 1.66352i | ||||||||
\(112\) | 149604. | − | 317778.i | 0.106485 | − | 0.226188i | ||||
\(113\) | −2.26586e6 | −1.57035 | −0.785176 | − | 0.619273i | \(-0.787428\pi\) | ||||
−0.785176 | + | 0.619273i | \(0.787428\pi\) | |||||||
\(114\) | −94750.4 | − | 164112.i | −0.0639538 | − | 0.110771i | ||||
\(115\) | −153056. | − | 88366.7i | −0.100637 | − | 0.0581025i | ||||
\(116\) | 119665. | − | 207265.i | 0.0766640 | − | 0.132786i | ||||
\(117\) | −216279. | + | 124869.i | −0.135039 | + | 0.0779645i | ||||
\(118\) | − | 1.22748e6i | − | 0.747085i | ||||||
\(119\) | −3625.13 | − | 43262.8i | −0.00215121 | − | 0.0256729i | ||||
\(120\) | 56786.6 | 0.0328626 | ||||||||
\(121\) | −314946. | − | 545503.i | −0.177779 | − | 0.307922i | ||||
\(122\) | −975764. | − | 563358.i | −0.537360 | − | 0.310245i | ||||
\(123\) | −452226. | + | 783278.i | −0.243019 | + | 0.420921i | ||||
\(124\) | 1.57574e6 | − | 909755.i | 0.826456 | − | 0.477155i | ||||
\(125\) | − | 385946.i | − | 0.197605i | ||||||
\(126\) | 174317. | − | 14606.6i | 0.0871421 | − | 0.00730191i | ||||
\(127\) | 813391. | 0.397089 | 0.198545 | − | 0.980092i | \(-0.436379\pi\) | ||||
0.198545 | + | 0.980092i | \(0.436379\pi\) | |||||||
\(128\) | 92681.9 | + | 160530.i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −1.73850e6 | − | 1.00372e6i | −0.809850 | − | 0.467567i | ||||
\(130\) | −97244.0 | + | 168432.i | −0.0442622 | + | 0.0766643i | ||||
\(131\) | 2.65677e6 | − | 1.53389e6i | 1.18179 | − | 0.682307i | 0.225362 | − | 0.974275i | \(-0.427643\pi\) |
0.956428 | + | 0.291968i | \(0.0943101\pi\) | |||||||
\(132\) | 1.25339e6i | 0.544958i | ||||||||
\(133\) | −411303. | − | 193634.i | −0.174826 | − | 0.0823050i | ||||
\(134\) | −817064. | −0.339580 | ||||||||
\(135\) | 128486. | + | 222545.i | 0.0522223 | + | 0.0904516i | ||||
\(136\) | 19842.5 | + | 11456.1i | 0.00788822 | + | 0.00455427i | ||||
\(137\) | 314000. | − | 543865.i | 0.122115 | − | 0.211509i | −0.798487 | − | 0.602013i | \(-0.794366\pi\) |
0.920601 | + | 0.390503i | \(0.127699\pi\) | |||||||
\(138\) | −1.76319e6 | + | 1.01798e6i | −0.670906 | + | 0.387348i | ||||
\(139\) | − | 2.79572e6i | − | 1.04100i | −0.853863 | − | 0.520498i | \(-0.825746\pi\) | ||
0.853863 | − | 0.520498i | \(-0.174254\pi\) | |||||||
\(140\) | 111878. | − | 77727.4i | 0.0407717 | − | 0.0283263i | ||||
\(141\) | 3.68712e6 | 1.31532 | ||||||||
\(142\) | 1.15284e6 | + | 1.99678e6i | 0.402628 | + | 0.697373i | ||||
\(143\) | −3.71760e6 | − | 2.14636e6i | −1.27132 | − | 0.733996i | ||||
\(144\) | −46159.4 | + | 79950.4i | −0.0154587 | + | 0.0267752i | ||||
\(145\) | 80389.5 | − | 46412.9i | 0.0263691 | − | 0.0152242i | ||||
\(146\) | − | 1.05643e6i | − | 0.339456i | ||||||
\(147\) | −2.29189e6 | + | 1.89464e6i | −0.721509 | + | 0.596452i | ||||
\(148\) | −2.88037e6 | −0.888511 | ||||||||
\(149\) | 2.04538e6 | + | 3.54271e6i | 0.618324 | + | 1.07097i | 0.989792 | + | 0.142522i | \(0.0455212\pi\) |
−0.371468 | + | 0.928446i | \(0.621145\pi\) | |||||||
\(150\) | −1.91567e6 | − | 1.10601e6i | −0.567606 | − | 0.327707i | ||||
\(151\) | −819369. | + | 1.41919e6i | −0.237985 | + | 0.412201i | −0.960136 | − | 0.279534i | \(-0.909820\pi\) |
0.722151 | + | 0.691735i | \(0.243153\pi\) | |||||||
\(152\) | 207775. | − | 119959.i | 0.0591647 | − | 0.0341588i | ||||
\(153\) | 11411.2i | 0.00318607i | ||||||||
\(154\) | 1.71559e6 | + | 2.46935e6i | 0.469733 | + | 0.676114i | ||||
\(155\) | 705712. | 0.189510 | ||||||||
\(156\) | 1.12024e6 | + | 1.94032e6i | 0.295079 | + | 0.511092i | ||||
\(157\) | 4.98347e6 | + | 2.87721e6i | 1.28775 | + | 0.743485i | 0.978253 | − | 0.207414i | \(-0.0665046\pi\) |
0.309501 | + | 0.950899i | \(0.399838\pi\) | |||||||
\(158\) | 237188. | − | 410821.i | 0.0601341 | − | 0.104155i | ||||
\(159\) | 3.72510e6 | − | 2.15069e6i | 0.926716 | − | 0.535040i | ||||
\(160\) | 71894.9i | 0.0175525i | ||||||||
\(161\) | −2.08036e6 | + | 4.41895e6i | −0.498495 | + | 1.05887i | ||||
\(162\) | 2.58852e6 | 0.608845 | ||||||||
\(163\) | −478970. | − | 829600.i | −0.110597 | − | 0.191560i | 0.805414 | − | 0.592713i | \(-0.201943\pi\) |
−0.916011 | + | 0.401152i | \(0.868610\pi\) | |||||||
\(164\) | −991672. | − | 572542.i | −0.224821 | − | 0.129800i | ||||
\(165\) | −243068. | + | 421006.i | −0.0541098 | + | 0.0937210i | ||||
\(166\) | −796061. | + | 459606.i | −0.174029 | + | 0.100476i | ||||
\(167\) | − | 6.70923e6i | − | 1.44053i | −0.693698 | − | 0.720266i | \(-0.744020\pi\) | ||
0.693698 | − | 0.720266i | \(-0.255980\pi\) | |||||||
\(168\) | −131041. | − | 1.56386e6i | −0.0276362 | − | 0.329814i | ||||
\(169\) | −2.84662e6 | −0.589751 | ||||||||
\(170\) | 4443.33 | + | 7696.07i | 0.000904402 | + | 0.00156647i | ||||
\(171\) | 103481. | + | 59744.5i | 0.0206952 | + | 0.0119484i | ||||
\(172\) | 1.27077e6 | − | 2.20103e6i | 0.249735 | − | 0.432554i | ||||
\(173\) | −300592. | + | 173547.i | −0.0580550 | + | 0.0335181i | −0.528747 | − | 0.848780i | \(-0.677338\pi\) |
0.470692 | + | 0.882298i | \(0.344004\pi\) | |||||||
\(174\) | − | 1.06935e6i | − | 0.202988i | ||||||
\(175\) | −5.28801e6 | + | 443098.i | −0.986683 | + | 0.0826772i | ||||
\(176\) | −1.58685e6 | −0.291071 | ||||||||
\(177\) | −2.74226e6 | − | 4.74974e6i | −0.494526 | − | 0.856544i | ||||
\(178\) | −2.48792e6 | − | 1.43640e6i | −0.441140 | − | 0.254692i | ||||
\(179\) | 1.47270e6 | − | 2.55079e6i | 0.256777 | − | 0.444750i | −0.708600 | − | 0.705611i | \(-0.750673\pi\) |
0.965377 | + | 0.260860i | \(0.0840062\pi\) | |||||||
\(180\) | −31009.4 | + | 17903.3i | −0.00531712 | + | 0.00306984i | ||||
\(181\) | 2.88805e6i | 0.487046i | 0.969895 | + | 0.243523i | \(0.0783031\pi\) | ||||
−0.969895 | + | 0.243523i | \(0.921697\pi\) | |||||||
\(182\) | 4.86287e6 | + | 2.28935e6i | 0.806638 | + | 0.379751i | ||||
\(183\) | −5.03428e6 | −0.821455 | ||||||||
\(184\) | −1.28881e6 | − | 2.23229e6i | −0.206889 | − | 0.358342i | ||||
\(185\) | −967502. | − | 558587.i | −0.152805 | − | 0.0882218i | ||||
\(186\) | 4.06487e6 | − | 7.04057e6i | 0.631696 | − | 1.09413i | ||||
\(187\) | −169867. | + | 98072.5i | −0.0259767 | + | 0.0149976i | ||||
\(188\) | 4.66810e6i | 0.702532i | ||||||||
\(189\) | 5.83222e6 | − | 4.05196e6i | 0.863870 | − | 0.600177i | ||||
\(190\) | 93054.3 | 0.0135667 | ||||||||
\(191\) | 2.83365e6 | + | 4.90802e6i | 0.406674 | + | 0.704379i | 0.994515 | − | 0.104597i | \(-0.0333553\pi\) |
−0.587841 | + | 0.808976i | \(0.700022\pi\) | |||||||
\(192\) | 717263. | + | 414112.i | 0.101339 | + | 0.0585078i | ||||
\(193\) | −6.54313e6 | + | 1.13330e7i | −0.910152 | + | 1.57643i | −0.0963038 | + | 0.995352i | \(0.530702\pi\) |
−0.813848 | + | 0.581078i | \(0.802631\pi\) | |||||||
\(194\) | 2.49721e6 | − | 1.44176e6i | 0.342018 | − | 0.197464i | ||||
\(195\) | 868991.i | 0.117196i | ||||||||
\(196\) | −2.39872e6 | − | 2.90166e6i | −0.318575 | − | 0.385370i | ||||
\(197\) | 4.47088e6 | 0.584783 | 0.292391 | − | 0.956299i | \(-0.405549\pi\) | ||||
0.292391 | + | 0.956299i | \(0.405549\pi\) | |||||||
\(198\) | −395159. | − | 684436.i | −0.0509069 | − | 0.0881733i | ||||
\(199\) | 6.97809e6 | + | 4.02880e6i | 0.885477 | + | 0.511230i | 0.872460 | − | 0.488685i | \(-0.162523\pi\) |
0.0130165 | + | 0.999915i | \(0.495857\pi\) | |||||||
\(200\) | 1.40027e6 | − | 2.42534e6i | 0.175034 | − | 0.303168i | ||||
\(201\) | −3.16162e6 | + | 1.82536e6i | −0.389333 | + | 0.224782i | ||||
\(202\) | 8.82191e6i | 1.07031i | ||||||||
\(203\) | −1.46368e6 | − | 2.10676e6i | −0.174968 | − | 0.251841i | ||||
\(204\) | 102374. | 0.0120586 | ||||||||
\(205\) | −222065. | − | 384628.i | −0.0257762 | − | 0.0446457i | ||||
\(206\) | −3.56279e6 | − | 2.05698e6i | −0.407558 | − | 0.235304i | ||||
\(207\) | 641882. | − | 1.11177e6i | 0.0723676 | − | 0.125344i | ||||
\(208\) | −2.45655e6 | + | 1.41829e6i | −0.272983 | + | 0.157607i | ||||
\(209\) | 2.05388e6i | 0.224976i | ||||||||
\(210\) | 259262. | − | 550705.i | 0.0279950 | − | 0.0594650i | ||||
\(211\) | 421809. | 0.0449023 | 0.0224511 | − | 0.999748i | \(-0.492853\pi\) | ||||
0.0224511 | + | 0.999748i | \(0.492853\pi\) | |||||||
\(212\) | 2.72289e6 | + | 4.71618e6i | 0.285774 | + | 0.494975i | ||||
\(213\) | 8.92180e6 | + | 5.15101e6i | 0.923238 | + | 0.533032i | ||||
\(214\) | −4.94874e6 | + | 8.57147e6i | −0.504956 | + | 0.874610i | ||||
\(215\) | 853688. | − | 492877.i | 0.0858981 | − | 0.0495933i | ||||
\(216\) | 3.74791e6i | 0.371901i | ||||||||
\(217\) | −1.62850e6 | − | 1.94348e7i | −0.159371 | − | 1.90195i | ||||
\(218\) | 4.37191e6 | 0.421990 | ||||||||
\(219\) | −2.36012e6 | − | 4.08785e6i | −0.224700 | − | 0.389191i | ||||
\(220\) | −533017. | − | 307737.i | −0.0500579 | − | 0.0289009i | ||||
\(221\) | −175309. | + | 303645.i | −0.0162416 | + | 0.0281312i | ||||
\(222\) | −1.11455e7 | + | 6.43488e6i | −1.01869 | + | 0.588141i | ||||
\(223\) | − | 4.49399e6i | − | 0.405245i | −0.979257 | − | 0.202622i | \(-0.935054\pi\) | ||
0.979257 | − | 0.202622i | \(-0.0649464\pi\) | |||||||
\(224\) | 1.97993e6 | − | 165904.i | 0.176159 | − | 0.0147609i | ||||
\(225\) | 1.39478e6 | 0.122450 | ||||||||
\(226\) | −6.40881e6 | − | 1.11004e7i | −0.555203 | − | 0.961640i | ||||
\(227\) | −3.37074e6 | − | 1.94610e6i | −0.288169 | − | 0.166375i | 0.348947 | − | 0.937143i | \(-0.386539\pi\) |
−0.637116 | + | 0.770768i | \(0.719873\pi\) | |||||||
\(228\) | 535989. | − | 928360.i | 0.0452222 | − | 0.0783271i | ||||
\(229\) | −2.13533e6 | + | 1.23283e6i | −0.177811 | + | 0.102659i | −0.586264 | − | 0.810120i | \(-0.699402\pi\) |
0.408453 | + | 0.912779i | \(0.366068\pi\) | |||||||
\(230\) | − | 999755.i | − | 0.0821694i | ||||||
\(231\) | 1.21551e7 | + | 5.72239e6i | 0.986103 | + | 0.464239i | ||||
\(232\) | 1.35385e6 | 0.108419 | ||||||||
\(233\) | −1.13486e7 | − | 1.96564e7i | −0.897170 | − | 1.55394i | −0.831095 | − | 0.556130i | \(-0.812286\pi\) |
−0.0660751 | − | 0.997815i | \(-0.521048\pi\) | |||||||
\(234\) | −1.22346e6 | − | 706366.i | −0.0954867 | − | 0.0551293i | ||||
\(235\) | −905280. | + | 1.56799e6i | −0.0697556 | + | 0.120820i | ||||
\(236\) | 6.01342e6 | − | 3.47185e6i | 0.457494 | − | 0.264134i | ||||
\(237\) | − | 2.11956e6i | − | 0.159221i | ||||||
\(238\) | 201690. | − | 140125.i | 0.0149608 | − | 0.0103941i | ||||
\(239\) | −3.91448e6 | −0.286734 | −0.143367 | − | 0.989670i | \(-0.545793\pi\) | ||||
−0.143367 | + | 0.989670i | \(0.545793\pi\) | |||||||
\(240\) | 160617. | + | 278196.i | 0.0116187 | + | 0.0201242i | ||||
\(241\) | 8.50987e6 | + | 4.91317e6i | 0.607955 | + | 0.351003i | 0.772165 | − | 0.635422i | \(-0.219174\pi\) |
−0.164209 | + | 0.986425i | \(0.552507\pi\) | |||||||
\(242\) | 1.78161e6 | − | 3.08583e6i | 0.125709 | − | 0.217734i | ||||
\(243\) | −3.05515e6 | + | 1.76389e6i | −0.212919 | + | 0.122929i | ||||
\(244\) | − | 6.37367e6i | − | 0.438753i | ||||||
\(245\) | −243003. | − | 1.43983e6i | −0.0165239 | − | 0.0979071i | ||||
\(246\) | −5.11635e6 | −0.343681 | ||||||||
\(247\) | 1.83570e6 | + | 3.17953e6i | 0.121818 | + | 0.210995i | ||||
\(248\) | 8.91374e6 | + | 5.14635e6i | 0.584393 | + | 0.337399i | ||||
\(249\) | −2.05356e6 | + | 3.55688e6i | −0.133018 | + | 0.230394i | ||||
\(250\) | 1.89074e6 | − | 1.09162e6i | 0.121008 | − | 0.0698638i | ||||
\(251\) | 1.12666e7i | 0.712477i | 0.934395 | + | 0.356238i | \(0.115941\pi\) | ||||
−0.934395 | + | 0.356238i | \(0.884059\pi\) | |||||||
\(252\) | 564600. | + | 812662.i | 0.0352809 | + | 0.0507818i | ||||
\(253\) | 2.20664e7 | 1.36261 | ||||||||
\(254\) | 2.30062e6 | + | 3.98479e6i | 0.140392 | + | 0.243167i | ||||
\(255\) | 34386.8 | + | 19853.2i | 0.00207382 | + | 0.00119732i | ||||
\(256\) | −524288. | + | 908093.i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2.70095e7 | + | 1.55940e7i | −1.59117 | + | 0.918665i | −0.598067 | + | 0.801446i | \(0.704065\pi\) |
−0.993106 | + | 0.117219i | \(0.962602\pi\) | |||||||
\(258\) | − | 1.13558e7i | − | 0.661240i | ||||||
\(259\) | −1.31505e7 | + | 2.79332e7i | −0.756905 | + | 1.60776i | ||||
\(260\) | −1.10019e6 | −0.0625962 | ||||||||
\(261\) | 337136. | + | 583937.i | 0.0189620 | + | 0.0328431i | ||||
\(262\) | 1.50290e7 | + | 8.67698e6i | 0.835652 | + | 0.482464i | ||||
\(263\) | 6.75928e6 | − | 1.17074e7i | 0.371564 | − | 0.643567i | −0.618243 | − | 0.785987i | \(-0.712155\pi\) |
0.989806 | + | 0.142420i | \(0.0454884\pi\) | |||||||
\(264\) | −6.14031e6 | + | 3.54511e6i | −0.333717 | + | 0.192672i | ||||
\(265\) | 2.11219e6i | 0.113500i | ||||||||
\(266\) | −214732. | − | 2.56264e6i | −0.0114091 | − | 0.136158i | ||||
\(267\) | −1.28360e7 | −0.674364 | ||||||||
\(268\) | −2.31101e6 | − | 4.00278e6i | −0.120060 | − | 0.207949i | ||||
\(269\) | −2.25818e7 | − | 1.30376e7i | −1.16011 | − | 0.669792i | −0.208783 | − | 0.977962i | \(-0.566950\pi\) |
−0.951331 | + | 0.308170i | \(0.900284\pi\) | |||||||
\(270\) | −726828. | + | 1.25890e6i | −0.0369267 | + | 0.0639589i | ||||
\(271\) | 9.56566e6 | − | 5.52274e6i | 0.480626 | − | 0.277490i | −0.240051 | − | 0.970760i | \(-0.577164\pi\) |
0.720677 | + | 0.693271i | \(0.243831\pi\) | |||||||
\(272\) | 129611.i | 0.00644071i | ||||||||
\(273\) | 2.39313e7 | − | 2.00528e6i | 1.17619 | − | 0.0985570i | ||||
\(274\) | 3.55251e6 | 0.172696 | ||||||||
\(275\) | 1.19874e7 | + | 2.07627e7i | 0.576403 | + | 0.998359i | ||||
\(276\) | −9.97410e6 | − | 5.75855e6i | −0.474402 | − | 0.273896i | ||||
\(277\) | 7.97353e6 | − | 1.38106e7i | 0.375155 | − | 0.649788i | −0.615195 | − | 0.788375i | \(-0.710923\pi\) |
0.990350 | + | 0.138587i | \(0.0442560\pi\) | |||||||
\(278\) | 1.36962e7 | − | 7.90748e6i | 0.637477 | − | 0.368047i | ||||
\(279\) | 5.12618e6i | 0.236038i | ||||||||
\(280\) | 697222. | + | 328240.i | 0.0317612 | + | 0.0149526i | ||||
\(281\) | −1.25628e6 | −0.0566198 | −0.0283099 | − | 0.999599i | \(-0.509013\pi\) | ||||
−0.0283099 | + | 0.999599i | \(0.509013\pi\) | |||||||
\(282\) | 1.04288e7 | + | 1.80631e7i | 0.465034 | + | 0.805463i | ||||
\(283\) | 292144. | + | 168669.i | 0.0128896 | + | 0.00744179i | 0.506431 | − | 0.862281i | \(-0.330965\pi\) |
−0.493541 | + | 0.869722i | \(0.664298\pi\) | |||||||
\(284\) | −6.52145e6 | + | 1.12955e7i | −0.284701 | + | 0.493117i | ||||
\(285\) | 360072. | − | 207888.i | 0.0155545 | − | 0.00898037i | ||||
\(286\) | − | 2.42832e7i | − | 1.03803i | ||||||
\(287\) | −1.00799e7 | + | 7.00307e6i | −0.426395 | + | 0.296239i | ||||
\(288\) | −522234. | −0.0218619 | ||||||||
\(289\) | −1.20608e7 | − | 2.08899e7i | −0.499668 | − | 0.865451i | ||||
\(290\) | 454751. | + | 262551.i | 0.0186458 | + | 0.0107651i | ||||
\(291\) | 6.44194e6 | − | 1.11578e7i | 0.261419 | − | 0.452792i | ||||
\(292\) | 5.17544e6 | − | 2.98804e6i | 0.207873 | − | 0.120016i | ||||
\(293\) | 1.30355e7i | 0.518233i | 0.965846 | + | 0.259117i | \(0.0834314\pi\) | ||||
−0.965846 | + | 0.259117i | \(0.916569\pi\) | |||||||
\(294\) | −1.57643e7 | − | 5.86907e6i | −0.620343 | − | 0.230955i | ||||
\(295\) | 2.69317e6 | 0.104905 | ||||||||
\(296\) | −8.14691e6 | − | 1.41109e7i | −0.314136 | − | 0.544100i | ||||
\(297\) | −2.77864e7 | − | 1.60425e7i | −1.06063 | − | 0.612353i | ||||
\(298\) | −1.15704e7 | + | 2.00406e7i | −0.437221 | + | 0.757289i | ||||
\(299\) | 3.41602e7 | − | 1.97224e7i | 1.27793 | − | 0.737813i | ||||
\(300\) | − | 1.25131e7i | − | 0.463448i | ||||||
\(301\) | −1.55434e7 | − | 2.23725e7i | −0.569963 | − | 0.820382i | ||||
\(302\) | −9.27010e6 | −0.336561 | ||||||||
\(303\) | 1.97086e7 | + | 3.41363e7i | 0.708480 | + | 1.22712i | ||||
\(304\) | 1.17535e6 | + | 678591.i | 0.0418358 | + | 0.0241539i | ||||
\(305\) | 1.23604e6 | − | 2.14088e6i | 0.0435645 | − | 0.0754560i | ||||
\(306\) | −55903.1 | + | 32275.7i | −0.00195106 | + | 0.00112645i | ||||
\(307\) | − | 3.48621e7i | − | 1.20487i | −0.798170 | − | 0.602433i | \(-0.794198\pi\) | ||
0.798170 | − | 0.602433i | \(-0.205802\pi\) | |||||||
\(308\) | −7.24486e6 | + | 1.53890e7i | −0.247958 | + | 0.526694i | ||||
\(309\) | −1.83816e7 | −0.623028 | ||||||||
\(310\) | 1.99605e6 | + | 3.45727e6i | 0.0670019 | + | 0.116051i | ||||
\(311\) | −3.81969e7 | − | 2.20530e7i | −1.26983 | − | 0.733139i | −0.294877 | − | 0.955535i | \(-0.595279\pi\) |
−0.974956 | + | 0.222397i | \(0.928612\pi\) | |||||||
\(312\) | −6.33705e6 | + | 1.09761e7i | −0.208652 | + | 0.361397i | ||||
\(313\) | 3.77077e7 | − | 2.17706e7i | 1.22970 | − | 0.709965i | 0.262729 | − | 0.964870i | \(-0.415377\pi\) |
0.966966 | + | 0.254905i | \(0.0820441\pi\) | |||||||
\(314\) | 3.25519e7i | 1.05145i | ||||||||
\(315\) | 32047.6 | + | 382462.i | 0.00102533 | + | 0.0122365i | ||||
\(316\) | 2.68347e6 | 0.0850425 | ||||||||
\(317\) | 1.63697e7 | + | 2.83531e7i | 0.513880 | + | 0.890067i | 0.999870 | + | 0.0161023i | \(0.00512574\pi\) |
−0.485990 | + | 0.873964i | \(0.661541\pi\) | |||||||
\(318\) | 2.10724e7 | + | 1.21661e7i | 0.655287 | + | 0.378330i | ||||
\(319\) | −5.79499e6 | + | 1.00372e7i | −0.178517 | + | 0.309201i | ||||
\(320\) | −352212. | + | 203349.i | −0.0107486 | + | 0.00620573i | ||||
\(321\) | 4.42229e7i | 1.33700i | ||||||||
\(322\) | −2.75325e7 | + | 2.30703e6i | −0.824665 | + | 0.0691012i | ||||
\(323\) | 167756. | 0.00497818 | ||||||||
\(324\) | 7.32144e6 | + | 1.26811e7i | 0.215259 | + | 0.372840i | ||||
\(325\) | 3.71144e7 | + | 2.14280e7i | 1.08117 | + | 0.624211i | ||||
\(326\) | 2.70946e6 | − | 4.69293e6i | 0.0782042 | − | 0.135454i | ||||
\(327\) | 1.69170e7 | − | 9.76706e6i | 0.483817 | − | 0.279332i | ||||
\(328\) | − | 6.47758e6i | − | 0.183565i | ||||||
\(329\) | 4.52703e7 | + | 2.13124e7i | 1.27123 | + | 0.598474i | ||||
\(330\) | −2.75000e6 | −0.0765228 | ||||||||
\(331\) | 1.58127e7 | + | 2.73884e7i | 0.436036 | + | 0.755236i | 0.997380 | − | 0.0723465i | \(-0.0230487\pi\) |
−0.561344 | + | 0.827583i | \(0.689715\pi\) | |||||||
\(332\) | −4.50320e6 | − | 2.59992e6i | −0.123057 | − | 0.0710471i | ||||
\(333\) | 4.05750e6 | − | 7.02779e6i | 0.109882 | − | 0.190321i | ||||
\(334\) | 3.28684e7 | − | 1.89766e7i | 0.882143 | − | 0.509305i | ||||
\(335\) | − | 1.79269e6i | − | 0.0476837i | ||||||
\(336\) | 7.29067e6 | − | 5.06523e6i | 0.192198 | − | 0.133531i | ||||
\(337\) | −8.23591e6 | −0.215190 | −0.107595 | − | 0.994195i | \(-0.534315\pi\) | ||||
−0.107595 | + | 0.994195i | \(0.534315\pi\) | |||||||
\(338\) | −8.05145e6 | − | 1.39455e7i | −0.208509 | − | 0.361147i | ||||
\(339\) | −4.95976e7 | − | 2.86352e7i | −1.27310 | − | 0.735023i | ||||
\(340\) | −25135.3 | + | 43535.5i | −0.000639509 | + | 0.00110766i | ||||
\(341\) | −7.63083e7 | + | 4.40566e7i | −1.92446 | + | 1.11109i | ||||
\(342\) | 675932.i | 0.0168976i | ||||||||
\(343\) | −3.90912e7 | + | 1.00147e7i | −0.968716 | + | 0.248173i | ||||
\(344\) | 1.43771e7 | 0.353179 | ||||||||
\(345\) | −2.23350e6 | − | 3.86854e6i | −0.0543912 | − | 0.0942084i | ||||
\(346\) | −1.70041e6 | − | 981731.i | −0.0410511 | − | 0.0237009i | ||||
\(347\) | 3.12505e7 | − | 5.41274e7i | 0.747943 | − | 1.29547i | −0.200864 | − | 0.979619i | \(-0.564375\pi\) |
0.948807 | − | 0.315856i | \(-0.102292\pi\) | |||||||
\(348\) | 5.23870e6 | − | 3.02457e6i | 0.124304 | − | 0.0717671i | ||||
\(349\) | − | 2.49010e7i | − | 0.585788i | −0.956145 | − | 0.292894i | \(-0.905382\pi\) | ||
0.956145 | − | 0.292894i | \(-0.0946183\pi\) | |||||||
\(350\) | −1.71275e7 | − | 2.46526e7i | −0.399474 | − | 0.574987i | ||||
\(351\) | −5.73533e7 | −1.32629 | ||||||||
\(352\) | −4.48830e6 | − | 7.77397e6i | −0.102909 | − | 0.178244i | ||||
\(353\) | 5.99767e7 | + | 3.46276e7i | 1.36351 | + | 0.787224i | 0.990089 | − | 0.140438i | \(-0.0448511\pi\) |
0.373422 | + | 0.927662i | \(0.378184\pi\) | |||||||
\(354\) | 1.55126e7 | − | 2.68686e7i | 0.349683 | − | 0.605668i | ||||
\(355\) | −4.38105e6 | + | 2.52940e6i | −0.0979249 | + | 0.0565369i | ||||
\(356\) | − | 1.62510e7i | − | 0.360189i | ||||||
\(357\) | 467392. | − | 992799.i | 0.0102725 | − | 0.0218201i | ||||
\(358\) | 1.66617e7 | 0.363137 | ||||||||
\(359\) | −1.50466e7 | − | 2.60615e7i | −0.325204 | − | 0.563270i | 0.656350 | − | 0.754457i | \(-0.272100\pi\) |
−0.981554 | + | 0.191187i | \(0.938766\pi\) | |||||||
\(360\) | −175416. | − | 101276.i | −0.00375977 | − | 0.00217070i | ||||
\(361\) | −2.26446e7 | + | 3.92217e7i | −0.481331 | + | 0.833689i | ||||
\(362\) | −1.41485e7 | + | 8.16865e6i | −0.298253 | + | 0.172197i | ||||
\(363\) | − | 1.59208e7i | − | 0.332847i | ||||||
\(364\) | 2.53879e6 | + | 3.02984e7i | 0.0526409 | + | 0.628225i | ||||
\(365\) | 2.31787e6 | 0.0476663 | ||||||||
\(366\) | −1.42391e7 | − | 2.46628e7i | −0.290428 | − | 0.503036i | ||||
\(367\) | −1.83705e7 | − | 1.06062e7i | −0.371640 | − | 0.214566i | 0.302535 | − | 0.953138i | \(-0.402167\pi\) |
−0.674175 | + | 0.738572i | \(0.735500\pi\) | |||||||
\(368\) | 7.29063e6 | − | 1.26277e7i | 0.146292 | − | 0.253386i | ||||
\(369\) | 2.79388e6 | − | 1.61305e6i | 0.0556070 | − | 0.0321047i | ||||
\(370\) | − | 6.31969e6i | − | 0.124764i | ||||||
\(371\) | 5.81681e7 | − | 4.87408e6i | 1.13910 | − | 0.0954489i | ||||
\(372\) | 4.59888e7 | 0.893353 | ||||||||
\(373\) | −2.44206e7 | − | 4.22977e7i | −0.470575 | − | 0.815060i | 0.528858 | − | 0.848710i | \(-0.322620\pi\) |
−0.999434 | + | 0.0336496i | \(0.989287\pi\) | |||||||
\(374\) | −960911. | − | 554782.i | −0.0183683 | − | 0.0106049i | ||||
\(375\) | 4.87747e6 | − | 8.44803e6i | 0.0924913 | − | 0.160200i | ||||
\(376\) | −2.28689e7 | + | 1.32034e7i | −0.430211 | + | 0.248383i | ||||
\(377\) | 2.07176e7i | 0.386648i | ||||||||
\(378\) | 3.63465e7 | + | 1.71112e7i | 0.672956 | + | 0.316815i | ||||
\(379\) | 8.40563e6 | 0.154402 | 0.0772009 | − | 0.997016i | \(-0.475402\pi\) | ||||
0.0772009 | + | 0.997016i | \(0.475402\pi\) | |||||||
\(380\) | 263197. | + | 455871.i | 0.00479657 | + | 0.00830790i | ||||
\(381\) | 1.78044e7 | + | 1.02794e7i | 0.321924 | + | 0.185863i | ||||
\(382\) | −1.60295e7 | + | 2.77640e7i | −0.287562 | + | 0.498071i | ||||
\(383\) | 1.47384e7 | − | 8.50922e6i | 0.262334 | − | 0.151458i | −0.363065 | − | 0.931764i | \(-0.618270\pi\) |
0.625399 | + | 0.780305i | \(0.284936\pi\) | |||||||
\(384\) | 4.68514e6i | 0.0827426i | ||||||||
\(385\) | −5.41789e6 | + | 3.76410e6i | −0.0949397 | + | 0.0659598i | ||||
\(386\) | −7.40271e7 | −1.28715 | ||||||||
\(387\) | 3.58019e6 | + | 6.20106e6i | 0.0617693 | + | 0.106988i | ||||
\(388\) | 1.41263e7 | + | 8.15585e6i | 0.241844 | + | 0.139628i | ||||
\(389\) | −2.99145e6 | + | 5.18135e6i | −0.0508199 | + | 0.0880226i | −0.890316 | − | 0.455343i | \(-0.849517\pi\) |
0.839496 | + | 0.543365i | \(0.182850\pi\) | |||||||
\(390\) | −4.25717e6 | + | 2.45788e6i | −0.0717674 | + | 0.0414349i | ||||
\(391\) | − | 1.80234e6i | − | 0.0301513i | ||||||
\(392\) | 7.43056e6 | − | 1.99584e7i | 0.123357 | − | 0.331335i | ||||
\(393\) | 7.75392e7 | 1.27745 | ||||||||
\(394\) | 1.26456e7 | + | 2.19028e7i | 0.206752 | + | 0.358105i | ||||
\(395\) | 901366. | + | 520404.i | 0.0146255 | + | 0.00844402i | ||||
\(396\) | 2.23536e6 | − | 3.87175e6i | 0.0359966 | − | 0.0623479i | ||||
\(397\) | −9.15067e7 | + | 5.28314e7i | −1.46245 | + | 0.844346i | −0.999124 | − | 0.0418414i | \(-0.986678\pi\) |
−0.463326 | + | 0.886188i | \(0.653344\pi\) | |||||||
\(398\) | 4.55807e7i | 0.722989i | ||||||||
\(399\) | −6.55597e6 | − | 9.43639e6i | −0.103209 | − | 0.148555i | ||||
\(400\) | 1.58423e7 | 0.247535 | ||||||||
\(401\) | −3.06343e7 | − | 5.30601e7i | −0.475089 | − | 0.822877i | 0.524504 | − | 0.851408i | \(-0.324251\pi\) |
−0.999593 | + | 0.0285303i | \(0.990917\pi\) | |||||||
\(402\) | −1.78848e7 | − | 1.03258e7i | −0.275300 | − | 0.158945i | ||||
\(403\) | −7.87533e7 | + | 1.36405e8i | −1.20324 | + | 2.08408i | ||||
\(404\) | −4.32183e7 | + | 2.49521e7i | −0.655427 | + | 0.378411i | ||||
\(405\) | 5.67936e6i | 0.0854938i | ||||||||
\(406\) | 6.18107e6 | − | 1.31294e7i | 0.0923603 | − | 0.196185i | ||||
\(407\) | 1.39487e8 | 2.06896 | ||||||||
\(408\) | 289556. | + | 501526.i | 0.00426336 | + | 0.00738436i | ||||
\(409\) | 9.47417e7 | + | 5.46991e7i | 1.38475 | + | 0.799486i | 0.992717 | − | 0.120466i | \(-0.0384388\pi\) |
0.392032 | + | 0.919951i | \(0.371772\pi\) | |||||||
\(410\) | 1.25619e6 | − | 2.17579e6i | 0.0182265 | − | 0.0315693i | ||||
\(411\) | 1.37464e7 | − | 7.93648e6i | 0.197999 | − | 0.114315i | ||||
\(412\) | − | 2.32721e7i | − | 0.332769i | ||||||
\(413\) | −6.21476e6 | − | 7.41679e7i | −0.0882214 | − | 1.05285i | ||||
\(414\) | 7.26207e6 | 0.102343 | ||||||||
\(415\) | −1.00840e6 | − | 1.74660e6i | −0.0141088 | − | 0.0244371i | ||||
\(416\) | −1.38963e7 | − | 8.02305e6i | −0.193028 | − | 0.111445i | ||||
\(417\) | 3.53314e7 | − | 6.11958e7i | 0.487251 | − | 0.843943i | ||||
\(418\) | −1.00619e7 | + | 5.80925e6i | −0.137769 | + | 0.0795411i | ||||
\(419\) | − | 2.04457e7i | − | 0.277946i | −0.990296 | − | 0.138973i | \(-0.955620\pi\) | ||
0.990296 | − | 0.138973i | \(-0.0443802\pi\) | |||||||
\(420\) | 3.43120e6 | − | 287511.i | 0.0463124 | − | 0.00388066i | ||||
\(421\) | −3.19255e7 | −0.427850 | −0.213925 | − | 0.976850i | \(-0.568625\pi\) | ||||
−0.213925 | + | 0.976850i | \(0.568625\pi\) | |||||||
\(422\) | 1.19306e6 | + | 2.06643e6i | 0.0158754 | + | 0.0274969i | ||||
\(423\) | −1.13897e7 | − | 6.57582e6i | −0.150484 | − | 0.0868818i | ||||
\(424\) | −1.54030e7 | + | 2.66787e7i | −0.202073 | + | 0.350000i | ||||
\(425\) | 1.69585e6 | − | 979101.i | 0.0220913 | − | 0.0127544i | ||||
\(426\) | 5.82770e7i | 0.753821i | ||||||||
\(427\) | −6.18106e7 | − | 2.90993e7i | −0.793924 | − | 0.373765i | ||||
\(428\) | −5.59886e7 | −0.714116 | ||||||||
\(429\) | −5.42500e7 | − | 9.39637e7i | −0.687112 | − | 1.19011i | ||||
\(430\) | 4.82919e6 | + | 2.78813e6i | 0.0607392 | + | 0.0350678i | ||||
\(431\) | −155642. | + | 269579.i | −0.00194399 | + | 0.00336709i | −0.866996 | − | 0.498316i | \(-0.833952\pi\) |
0.865052 | + | 0.501683i | \(0.167285\pi\) | |||||||
\(432\) | −1.83609e7 | + | 1.06007e7i | −0.227742 | + | 0.131487i | ||||
\(433\) | − | 5.06252e7i | − | 0.623596i | −0.950148 | − | 0.311798i | \(-0.899069\pi\) | ||
0.950148 | − | 0.311798i | \(-0.100931\pi\) | |||||||
\(434\) | 9.06044e7 | − | 6.29478e7i | 1.10836 | − | 0.770036i | ||||
\(435\) | 2.34621e6 | 0.0285035 | ||||||||
\(436\) | 1.23656e7 | + | 2.14179e7i | 0.149196 | + | 0.258415i | ||||
\(437\) | −1.63442e7 | − | 9.43634e6i | −0.195848 | − | 0.113073i | ||||
\(438\) | 1.33509e7 | − | 2.31244e7i | 0.158887 | − | 0.275200i | ||||
\(439\) | 7.01109e7 | − | 4.04786e7i | 0.828690 | − | 0.478445i | −0.0247137 | − | 0.999695i | \(-0.507867\pi\) |
0.853404 | + | 0.521250i | \(0.174534\pi\) | |||||||
\(440\) | − | 3.48165e6i | − | 0.0408721i | ||||||
\(441\) | 1.04587e7 | − | 1.76513e6i | 0.121945 | − | 0.0205808i | ||||
\(442\) | −1.98340e6 | −0.0229691 | ||||||||
\(443\) | 1.28372e6 | + | 2.22346e6i | 0.0147658 | + | 0.0255752i | 0.873314 | − | 0.487158i | \(-0.161966\pi\) |
−0.858548 | + | 0.512733i | \(0.828633\pi\) | |||||||
\(444\) | −6.30487e7 | − | 3.64012e7i | −0.720323 | − | 0.415879i | ||||
\(445\) | 3.15155e6 | − | 5.45864e6i | 0.0357638 | − | 0.0619447i | ||||
\(446\) | 2.20160e7 | − | 1.27109e7i | 0.248161 | − | 0.143276i | ||||
\(447\) | 1.03396e8i | 1.15766i | ||||||||
\(448\) | 6.41285e6 | + | 9.23039e6i | 0.0713209 | + | 0.102656i | ||||
\(449\) | −6.11330e7 | −0.675362 | −0.337681 | − | 0.941261i | \(-0.609643\pi\) | ||||
−0.337681 | + | 0.941261i | \(0.609643\pi\) | |||||||
\(450\) | 3.94505e6 | + | 6.83302e6i | 0.0432927 | + | 0.0749851i | ||||
\(451\) | 4.80237e7 | + | 2.77265e7i | 0.523511 | + | 0.302249i | ||||
\(452\) | 3.62537e7 | − | 6.27932e7i | 0.392588 | − | 0.679982i | ||||
\(453\) | −3.58705e7 | + | 2.07099e7i | −0.385872 | + | 0.222783i | ||||
\(454\) | − | 2.20176e7i | − | 0.235289i | ||||||
\(455\) | −5.02297e6 | + | 1.06694e7i | −0.0533245 | + | 0.113268i | ||||
\(456\) | 6.06402e6 | 0.0639538 | ||||||||
\(457\) | −4.79859e6 | − | 8.31141e6i | −0.0502765 | − | 0.0870815i | 0.839792 | − | 0.542908i | \(-0.182677\pi\) |
−0.890068 | + | 0.455827i | \(0.849344\pi\) | |||||||
\(458\) | −1.20792e7 | − | 6.97395e6i | −0.125731 | − | 0.0725910i | ||||
\(459\) | −1.31031e6 | + | 2.26952e6i | −0.0135499 | + | 0.0234691i | ||||
\(460\) | 4.89778e6 | − | 2.82773e6i | 0.0503183 | − | 0.0290513i | ||||
\(461\) | 6.04509e7i | 0.617021i | 0.951221 | + | 0.308510i | \(0.0998304\pi\) | ||||
−0.951221 | + | 0.308510i | \(0.900170\pi\) | |||||||
\(462\) | 6.34589e6 | + | 7.57329e7i | 0.0643527 | + | 0.767996i | ||||
\(463\) | −1.14757e8 | −1.15621 | −0.578104 | − | 0.815963i | \(-0.696207\pi\) | ||||
−0.578104 | + | 0.815963i | \(0.696207\pi\) | |||||||
\(464\) | 3.82926e6 | + | 6.63248e6i | 0.0383320 | + | 0.0663930i | ||||
\(465\) | 1.54474e7 | + | 8.91857e6i | 0.153637 | + | 0.0887026i | ||||
\(466\) | 6.41974e7 | − | 1.11193e8i | 0.634395 | − | 1.09880i | ||||
\(467\) | −5.93604e7 | + | 3.42717e7i | −0.582836 | + | 0.336500i | −0.762259 | − | 0.647272i | \(-0.775910\pi\) |
0.179424 | + | 0.983772i | \(0.442577\pi\) | |||||||
\(468\) | − | 7.99162e6i | − | 0.0779645i | ||||||
\(469\) | −4.93692e7 | + | 4.13680e6i | −0.478561 | + | 0.0401001i | ||||
\(470\) | −1.02421e7 | −0.0986493 | ||||||||
\(471\) | 7.27226e7 | + | 1.25959e8i | 0.695995 | + | 1.20550i | ||||
\(472\) | 3.40171e7 | + | 1.96398e7i | 0.323497 | + | 0.186771i | ||||
\(473\) | −6.15393e7 | + | 1.06589e8i | −0.581526 | + | 1.00723i | ||||
\(474\) | 1.03837e7 | − | 5.99501e6i | 0.0975025 | − | 0.0562931i | ||||
\(475\) | − | 2.05048e7i | − | 0.191326i | ||||||
\(476\) | 1.25694e6 | + | 591743.i | 0.0116545 | + | 0.00548671i | ||||
\(477\) | −1.53426e7 | −0.141366 | ||||||||
\(478\) | −1.10718e7 | − | 1.91769e7i | −0.101376 | − | 0.175588i | ||||
\(479\) | 8.46880e7 | + | 4.88946e7i | 0.770576 | + | 0.444892i | 0.833080 | − | 0.553153i | \(-0.186575\pi\) |
−0.0625041 | + | 0.998045i | \(0.519909\pi\) | |||||||
\(480\) | −908585. | + | 1.57372e6i | −0.00821565 | + | 0.0142299i | ||||
\(481\) | 2.15935e8 | − | 1.24670e8i | 1.94039 | − | 1.12028i | ||||
\(482\) | 5.55862e7i | 0.496393i | ||||||||
\(483\) | −1.01383e8 | + | 7.04359e7i | −0.899750 | + | 0.625105i | ||||
\(484\) | 2.01566e7 | 0.177779 | ||||||||
\(485\) | 3.16331e6 | + | 5.47902e6i | 0.0277279 | + | 0.0480261i | ||||
\(486\) | −1.72826e7 | − | 9.97809e6i | −0.150556 | − | 0.0869237i | ||||
\(487\) | −1.14091e7 | + | 1.97612e7i | −0.0987794 | + | 0.171091i | −0.911180 | − | 0.412009i | \(-0.864827\pi\) |
0.812400 | + | 0.583100i | \(0.198160\pi\) | |||||||
\(488\) | 3.12245e7 | − | 1.80275e7i | 0.268680 | − | 0.155123i | ||||
\(489\) | − | 2.42123e7i | − | 0.207066i | ||||||
\(490\) | 6.36640e6 | − | 5.26293e6i | 0.0541135 | − | 0.0447342i | ||||
\(491\) | 1.11615e7 | 0.0942930 | 0.0471465 | − | 0.998888i | \(-0.484987\pi\) | ||||
0.0471465 | + | 0.998888i | \(0.484987\pi\) | |||||||
\(492\) | −1.44712e7 | − | 2.50649e7i | −0.121509 | − | 0.210461i | ||||
\(493\) | 819816. | + | 473321.i | 0.00684188 | + | 0.00395016i | ||||
\(494\) | −1.03843e7 | + | 1.79862e7i | −0.0861384 | + | 0.149196i | ||||
\(495\) | 1.50169e6 | − | 867002.i | 0.0123813 | − | 0.00714833i | ||||
\(496\) | 5.82243e7i | 0.477155i | ||||||||
\(497\) | 7.97674e7 | + | 1.14814e8i | 0.649765 | + | 0.935244i | ||||
\(498\) | −2.32334e7 | −0.188116 | ||||||||
\(499\) | 2.16628e7 | + | 3.75211e7i | 0.174347 | + | 0.301977i | 0.939935 | − | 0.341354i | \(-0.110885\pi\) |
−0.765588 | + | 0.643331i | \(0.777552\pi\) | |||||||
\(500\) | 1.06957e7 | + | 6.17514e6i | 0.0855653 | + | 0.0494011i | ||||
\(501\) | 8.47892e7 | − | 1.46859e8i | 0.674260 | − | 1.16785i | ||||
\(502\) | −5.51947e7 | + | 3.18667e7i | −0.436301 | + | 0.251899i | ||||
\(503\) | − | 2.32014e8i | − | 1.82310i | −0.411192 | − | 0.911549i | \(-0.634887\pi\) | ||
0.411192 | − | 0.911549i | \(-0.365113\pi\) | |||||||
\(504\) | −2.38428e6 | + | 5.06452e6i | −0.0186237 | + | 0.0395591i | ||||
\(505\) | −1.93558e7 | −0.150292 | ||||||||
\(506\) | 6.24133e7 | + | 1.08103e8i | 0.481755 | + | 0.834424i | ||||
\(507\) | −6.23100e7 | − | 3.59747e7i | −0.478116 | − | 0.276041i | ||||
\(508\) | −1.30143e7 | + | 2.25414e7i | −0.0992723 | + | 0.171945i | ||||
\(509\) | −1.02119e8 | + | 5.89587e7i | −0.774382 | + | 0.447089i | −0.834435 | − | 0.551106i | \(-0.814206\pi\) |
0.0600538 | + | 0.998195i | \(0.480873\pi\) | |||||||
\(510\) | 224614.i | 0.00169327i | ||||||||
\(511\) | −5.34872e6 | − | 6.38325e7i | −0.0400855 | − | 0.478387i | ||||
\(512\) | −5.93164e6 | −0.0441942 | ||||||||
\(513\) | 1.37206e7 | + | 2.37647e7i | 0.101630 | + | 0.176028i | ||||
\(514\) | −1.52789e8 | − | 8.82127e7i | −1.12513 | − | 0.649594i | ||||
\(515\) | 4.51313e6 | − | 7.81698e6i | 0.0330412 | − | 0.0572291i | ||||
\(516\) | 5.56319e7 | − | 3.21191e7i | 0.404925 | − | 0.233784i | ||||
\(517\) | − | 2.26062e8i | − | 1.63589i | ||||||
\(518\) | −1.74039e8 | + | 1.45833e7i | −1.25216 | + | 0.104922i | ||||
\(519\) | −8.77294e6 | −0.0627542 | ||||||||
\(520\) | −3.11181e6 | − | 5.38981e6i | −0.0221311 | − | 0.0383322i | ||||
\(521\) | −1.94107e8 | − | 1.12068e8i | −1.37255 | − | 0.792443i | −0.381303 | − | 0.924450i | \(-0.624525\pi\) |
−0.991249 | + | 0.132007i | \(0.957858\pi\) | |||||||
\(522\) | −1.90713e6 | + | 3.30325e6i | −0.0134082 | + | 0.0232236i | ||||
\(523\) | 1.57711e8 | − | 9.10546e7i | 1.10245 | − | 0.636497i | 0.165584 | − | 0.986196i | \(-0.447049\pi\) |
0.936862 | + | 0.349698i | \(0.113716\pi\) | |||||||
\(524\) | 9.81688e7i | 0.682307i | ||||||||
\(525\) | −1.21350e8 | − | 5.71292e7i | −0.838610 | − | 0.394802i | ||||
\(526\) | 7.64725e7 | 0.525470 | ||||||||
\(527\) | 3.59844e6 | + | 6.23268e6i | 0.0245857 | + | 0.0425837i | ||||
\(528\) | −3.47348e7 | − | 2.00542e7i | −0.235974 | − | 0.136239i | ||||
\(529\) | −2.73640e7 | + | 4.73959e7i | −0.184847 | + | 0.320165i | ||||
\(530\) | −1.03476e7 | + | 5.97417e6i | −0.0695042 | + | 0.0401283i | ||||
\(531\) | 1.95628e7i | 0.130661i | ||||||||
\(532\) | 1.19470e7 | − | 8.30021e6i | 0.0793457 | − | 0.0551257i | ||||
\(533\) | 9.91248e7 | 0.654637 | ||||||||
\(534\) | −3.63056e7 | − | 6.28831e7i | −0.238424 | − | 0.412962i | ||||
\(535\) | −1.88063e7 | − | 1.08578e7i | −0.122812 | − | 0.0709058i | ||||
\(536\) | 1.30730e7 | − | 2.26432e7i | 0.0848950 | − | 0.147042i | ||||
\(537\) | 6.44723e7 | − | 3.72231e7i | 0.416342 | − | 0.240375i | ||||
\(538\) | − | 1.47503e8i | − | 0.947229i | ||||||
\(539\) | 1.16163e8 | + | 1.40518e8i | 0.741823 | + | 0.897361i | ||||
\(540\) | −8.22312e6 | −0.0522223 | ||||||||
\(541\) | 1.22675e8 | + | 2.12480e8i | 0.774756 | + | 1.34192i | 0.934932 | + | 0.354828i | \(0.115461\pi\) |
−0.160176 | + | 0.987089i | \(0.551206\pi\) | |||||||
\(542\) | 5.41116e7 | + | 3.12413e7i | 0.339854 | + | 0.196215i | ||||
\(543\) | −3.64983e7 | + | 6.32170e7i | −0.227968 | + | 0.394852i | ||||
\(544\) | −634959. | + | 366594.i | −0.00394411 | + | 0.00227713i | ||||
\(545\) | 9.59222e6i | 0.0592556i | ||||||||
\(546\) | 7.75119e7 | + | 1.11567e8i | 0.476201 | + | 0.685424i | ||||
\(547\) | 1.02069e8 | 0.623637 | 0.311819 | − | 0.950142i | \(-0.399062\pi\) | ||||
0.311819 | + | 0.950142i | \(0.399062\pi\) | |||||||
\(548\) | 1.00480e7 | + | 1.74037e7i | 0.0610574 | + | 0.105755i | ||||
\(549\) | 1.55511e7 | + | 8.97841e6i | 0.0939816 | + | 0.0542603i | ||||
\(550\) | −6.78109e7 | + | 1.17452e8i | −0.407578 | + | 0.705947i | ||||
\(551\) | 8.58449e6 | − | 4.95625e6i | 0.0513168 | − | 0.0296278i | ||||
\(552\) | − | 6.51505e7i | − | 0.387348i | ||||||
\(553\) | 1.22515e7 | − | 2.60238e7i | 0.0724461 | − | 0.153885i | ||||
\(554\) | 9.02102e7 | 0.530550 | ||||||||
\(555\) | −1.41185e7 | − | 2.44540e7i | −0.0825866 | − | 0.143044i | ||||
\(556\) | 7.74772e7 | + | 4.47315e7i | 0.450764 | + | 0.260249i | ||||
\(557\) | −9.57059e7 | + | 1.65768e8i | −0.553826 | + | 0.959255i | 0.444168 | + | 0.895944i | \(0.353499\pi\) |
−0.997994 | + | 0.0633110i | \(0.979834\pi\) | |||||||
\(558\) | −2.51131e7 | + | 1.44990e7i | −0.144543 | + | 0.0834520i | ||||
\(559\) | 2.20009e8i | 1.25952i | ||||||||
\(560\) | 364004. | + | 4.34408e6i | 0.00207273 | + | 0.0247362i | ||||
\(561\) | −4.95764e6 | −0.0280793 | ||||||||
\(562\) | −3.55330e6 | − | 6.15450e6i | −0.0200181 | − | 0.0346724i | ||||
\(563\) | −1.66748e8 | − | 9.62718e7i | −0.934403 | − | 0.539478i | −0.0462018 | − | 0.998932i | \(-0.514712\pi\) |
−0.888202 | + | 0.459454i | \(0.848045\pi\) | |||||||
\(564\) | −5.89939e7 | + | 1.02181e8i | −0.328829 | + | 0.569549i | ||||
\(565\) | 2.43549e7 | − | 1.40613e7i | 0.135033 | − | 0.0779615i | ||||
\(566\) | 1.90828e6i | 0.0105243i | ||||||||
\(567\) | 1.56405e8 | − | 1.31057e7i | 0.858029 | − | 0.0718969i | ||||
\(568\) | −7.37818e7 | −0.402628 | ||||||||
\(569\) | 2.99208e7 | + | 5.18243e7i | 0.162419 | + | 0.281317i | 0.935736 | − | 0.352702i | \(-0.114737\pi\) |
−0.773317 | + | 0.634020i | \(0.781404\pi\) | |||||||
\(570\) | 2.03688e6 | + | 1.17599e6i | 0.0109987 | + | 0.00635008i | ||||
\(571\) | 1.27846e8 | − | 2.21435e8i | 0.686716 | − | 1.18943i | −0.286178 | − | 0.958177i | \(-0.592385\pi\) |
0.972894 | − | 0.231251i | \(-0.0742819\pi\) | |||||||
\(572\) | 1.18963e8 | − | 6.86834e7i | 0.635659 | − | 0.366998i | ||||
\(573\) | 1.43243e8i | 0.761395i | ||||||||
\(574\) | −6.28183e7 | − | 2.95737e7i | −0.332162 | − | 0.156376i | ||||
\(575\) | −2.20299e8 | −1.15880 | ||||||||
\(576\) | −1.47710e6 | − | 2.55841e6i | −0.00772934 | − | 0.0133876i | ||||
\(577\) | −2.79824e7 | − | 1.61556e7i | −0.145666 | − | 0.0841001i | 0.425396 | − | 0.905007i | \(-0.360135\pi\) |
−0.571061 | + | 0.820907i | \(0.693468\pi\) | |||||||
\(578\) | 6.82260e7 | − | 1.18171e8i | 0.353319 | − | 0.611966i | ||||
\(579\) | −2.86447e8 | + | 1.65380e8i | −1.47574 | + | 0.852016i | ||||
\(580\) | 2.97042e6i | 0.0152242i | ||||||||
\(581\) | −4.57731e7 | + | 3.18011e7i | −0.233390 | + | 0.162149i | ||||
\(582\) | 7.28822e7 | 0.369703 | ||||||||
\(583\) | −1.31861e8 | − | 2.28390e8i | −0.665444 | − | 1.15258i | ||||
\(584\) | 2.92767e7 | + | 1.69029e7i | 0.146989 | + | 0.0848640i | ||||
\(585\) | 1.54981e6 | − | 2.68435e6i | 0.00774123 | − | 0.0134082i | ||||
\(586\) | −6.38607e7 | + | 3.68700e7i | −0.317352 | + | 0.183223i | ||||
\(587\) | − | 9.56070e7i | − | 0.472689i | −0.971669 | − | 0.236344i | \(-0.924051\pi\) | ||
0.971669 | − | 0.236344i | \(-0.0759493\pi\) | |||||||
\(588\) | −1.58356e7 | − | 9.38290e7i | −0.0778939 | − | 0.461536i | ||||
\(589\) | 7.53603e7 | 0.368805 | ||||||||
\(590\) | 7.61744e6 | + | 1.31938e7i | 0.0370897 | + | 0.0642412i | ||||
\(591\) | 9.78637e7 | + | 5.65016e7i | 0.474088 | + | 0.273715i | ||||
\(592\) | 4.60859e7 | − | 7.98231e7i | 0.222128 | − | 0.384737i | ||||
\(593\) | −1.00699e8 | + | 5.81386e7i | −0.482905 | + | 0.278805i | −0.721626 | − | 0.692283i | \(-0.756605\pi\) |
0.238722 | + | 0.971088i | \(0.423272\pi\) | |||||||
\(594\) | − | 1.81500e8i | − | 0.865997i | ||||||
\(595\) | 307443. | + | 442520.i | 0.00145953 | + | 0.00210079i | ||||
\(596\) | −1.30905e8 | −0.618324 | ||||||||
\(597\) | 1.01829e8 | + | 1.76374e8i | 0.478576 | + | 0.828917i | ||||
\(598\) | 1.93239e8 | + | 1.11567e8i | 0.903633 | + | 0.521713i | ||||
\(599\) | 1.79992e8 | − | 3.11756e8i | 0.837477 | − | 1.45055i | −0.0545197 | − | 0.998513i | \(-0.517363\pi\) |
0.891997 | − | 0.452041i | \(-0.149304\pi\) | |||||||
\(600\) | 6.13014e7 | − | 3.53924e7i | 0.283803 | − | 0.163854i | ||||
\(601\) | 3.47560e8i | 1.60105i | 0.599297 | + | 0.800527i | \(0.295447\pi\) | ||||
−0.599297 | + | 0.800527i | \(0.704553\pi\) | |||||||
\(602\) | 6.56392e7 | − | 1.39426e8i | 0.300867 | − | 0.639079i | ||||
\(603\) | 1.30218e7 | 0.0593908 | ||||||||
\(604\) | −2.62198e7 | − | 4.54140e7i | −0.118992 | − | 0.206101i | ||||
\(605\) | 6.77049e6 | + | 3.90895e6i | 0.0305741 | + | 0.0176520i | ||||
\(606\) | −1.11489e8 | + | 1.93104e8i | −0.500971 | + | 0.867707i | ||||
\(607\) | −1.84155e8 | + | 1.06322e8i | −0.823414 | + | 0.475398i | −0.851592 | − | 0.524205i | \(-0.824363\pi\) |
0.0281785 | + | 0.999603i | \(0.491029\pi\) | |||||||
\(608\) | 7.67738e6i | 0.0341588i | ||||||||
\(609\) | −5.41410e6 | − | 6.46127e7i | −0.0239703 | − | 0.286066i | ||||
\(610\) | 1.39842e7 | 0.0616095 | ||||||||
\(611\) | −2.02048e8 | − | 3.49957e8i | −0.885790 | − | 1.53423i | ||||
\(612\) | −316236. | − | 182579.i | −0.00137961 | − | 0.000796519i | ||||
\(613\) | 3.94274e7 | − | 6.82903e7i | 0.171166 | − | 0.296468i | −0.767662 | − | 0.640855i | \(-0.778580\pi\) |
0.938828 | + | 0.344387i | \(0.111913\pi\) | |||||||
\(614\) | 1.70789e8 | − | 9.86049e7i | 0.737826 | − | 0.425984i | ||||
\(615\) | − | 1.12256e7i | − | 0.0482595i | ||||||
\(616\) | −9.58820e7 | + | 8.03424e6i | −0.410199 | + | 0.0343719i | ||||
\(617\) | 4.19908e6 | 0.0178772 | 0.00893859 | − | 0.999960i | \(-0.497155\pi\) | ||||
0.00893859 | + | 0.999960i | \(0.497155\pi\) | |||||||
\(618\) | −5.19910e7 | − | 9.00510e7i | −0.220274 | − | 0.381525i | ||||
\(619\) | 2.30232e8 | + | 1.32925e8i | 0.970721 | + | 0.560446i | 0.899456 | − | 0.437011i | \(-0.143963\pi\) |
0.0712651 | + | 0.997457i | \(0.477296\pi\) | |||||||
\(620\) | −1.12914e7 | + | 1.95573e7i | −0.0473775 | + | 0.0820603i | ||||
\(621\) | 2.55323e8 | − | 1.47411e8i | 1.06614 | − | 0.615537i | ||||
\(622\) | − | 2.49501e8i | − | 1.03681i | ||||||
\(623\) | −1.57599e8 | − | 7.41948e7i | −0.651763 | − | 0.306838i | ||||
\(624\) | −7.16956e7 | −0.295079 | ||||||||
\(625\) | −1.18472e8 | − | 2.05199e8i | −0.485260 | − | 0.840496i | ||||
\(626\) | 2.13307e8 | + | 1.23153e8i | 0.869526 | + | 0.502021i | ||||
\(627\) | −2.59563e7 | + | 4.49577e7i | −0.105303 | + | 0.182390i | ||||
\(628\) | −1.59471e8 | + | 9.20707e7i | −0.643877 | + | 0.371743i | ||||
\(629\) | − | 1.13930e7i | − | 0.0457811i | ||||||
\(630\) | −1.78303e6 | + | 1.23877e6i | −0.00713077 | + | 0.00495413i | ||||
\(631\) | −2.02533e8 | −0.806135 | −0.403068 | − | 0.915170i | \(-0.632056\pi\) | ||||
−0.403068 | + | 0.915170i | \(0.632056\pi\) | |||||||
\(632\) | 7.59001e6 | + | 1.31463e7i | 0.0300671 | + | 0.0520777i | ||||
\(633\) | 9.23303e6 | + | 5.33069e6i | 0.0364027 | + | 0.0210171i | ||||
\(634\) | −9.26008e7 | + | 1.60389e8i | −0.363368 | + | 0.629372i | ||||
\(635\) | −8.74285e6 | + | 5.04769e6i | −0.0341454 | + | 0.0197138i | ||||
\(636\) | 1.37644e8i | 0.535040i | ||||||||
\(637\) | 3.05419e8 | + | 1.13708e8i | 1.18162 | + | 0.439919i | ||||
\(638\) | −6.55628e7 | −0.252462 | ||||||||
\(639\) | −1.83732e7 | − | 3.18233e7i | −0.0704177 | − | 0.121967i | ||||
\(640\) | −1.99241e6 | − | 1.15032e6i | −0.00760044 | − | 0.00438812i | ||||
\(641\) | 1.15943e7 | − | 2.00819e7i | 0.0440221 | − | 0.0762484i | −0.843175 | − | 0.537640i | \(-0.819316\pi\) |
0.887197 | + | 0.461391i | \(0.152649\pi\) | |||||||
\(642\) | −2.16647e8 | + | 1.25081e8i | −0.818744 | + | 0.472702i | ||||
\(643\) | 3.10031e8i | 1.16620i | 0.812401 | + | 0.583100i | \(0.198160\pi\) | ||||
−0.812401 | + | 0.583100i | \(0.801840\pi\) | |||||||
\(644\) | −8.91757e7 | − | 1.28356e8i | −0.333879 | − | 0.480571i | ||||
\(645\) | 2.49153e7 | 0.0928511 | ||||||||
\(646\) | 474486. | + | 821834.i | 0.00176005 | + | 0.00304850i | ||||
\(647\) | 1.29013e8 | + | 7.44859e7i | 0.476345 | + | 0.275018i | 0.718892 | − | 0.695122i | \(-0.244650\pi\) |
−0.242547 | + | 0.970140i | \(0.577983\pi\) | |||||||
\(648\) | −4.14163e7 | + | 7.17352e7i | −0.152211 | + | 0.263637i | ||||
\(649\) | −2.91212e8 | + | 1.68131e8i | −1.06531 | + | 0.615055i | ||||
\(650\) | 2.42430e8i | 0.882768i | ||||||||
\(651\) | 2.09964e8 | − | 4.45990e8i | 0.761030 | − | 1.61652i | ||||
\(652\) | 3.06541e7 | 0.110597 | ||||||||
\(653\) | 1.15112e8 | + | 1.99379e8i | 0.413408 | + | 0.716044i | 0.995260 | − | 0.0972506i | \(-0.0310048\pi\) |
−0.581851 | + | 0.813295i | \(0.697672\pi\) | |||||||
\(654\) | 9.56973e7 | + | 5.52508e7i | 0.342110 | + | 0.197518i | ||||
\(655\) | −1.90378e7 | + | 3.29744e7i | −0.0677474 | + | 0.117342i | ||||
\(656\) | 3.17335e7 | − | 1.83214e7i | 0.112410 | − | 0.0649002i | ||||
\(657\) | 1.68367e7i | 0.0593691i | ||||||||
\(658\) | 2.36346e7 | + | 2.82059e8i | 0.0829602 | + | 0.990061i | ||||
\(659\) | 4.63051e8 | 1.61798 | 0.808989 | − | 0.587824i | \(-0.200015\pi\) | ||||
0.808989 | + | 0.587824i | \(0.200015\pi\) | |||||||
\(660\) | −7.77818e6 | − | 1.34722e7i | −0.0270549 | − | 0.0468605i | ||||
\(661\) | −2.85316e8 | − | 1.64727e8i | −0.987920 | − | 0.570376i | −0.0832680 | − | 0.996527i | \(-0.526536\pi\) |
−0.904652 | + | 0.426151i | \(0.859869\pi\) | |||||||
\(662\) | −8.94502e7 | + | 1.54932e8i | −0.308324 | + | 0.534033i | ||||
\(663\) | −7.67473e6 | + | 4.43101e6i | −0.0263344 | + | 0.0152041i | ||||
\(664\) | − | 2.94148e7i | − | 0.100476i | ||||||
\(665\) | 5.62259e6 | − | 471134.i | 0.0191193 | − | 0.00160206i | ||||
\(666\) | 4.59053e7 | 0.155396 | ||||||||
\(667\) | −5.32489e7 | − | 9.22298e7i | −0.179446 | − | 0.310809i | ||||
\(668\) | 1.85932e8 | + | 1.07348e8i | 0.623769 | + | 0.360133i | ||||
\(669\) | 5.67936e7 | − | 9.83694e7i | 0.189680 | − | 0.328535i | ||||
\(670\) | 8.78233e6 | − | 5.07048e6i | 0.0292002 | − | 0.0168587i | ||||
\(671\) | 3.08657e8i | 1.02167i | ||||||||
\(672\) | 4.54356e7 | + | 2.13902e7i | 0.149723 | + | 0.0704868i | ||||
\(673\) | −8.50491e7 | −0.279013 | −0.139506 | − | 0.990221i | \(-0.544552\pi\) | ||||
−0.139506 | + | 0.990221i | \(0.544552\pi\) | |||||||
\(674\) | −2.32947e7 | − | 4.03476e7i | −0.0760812 | − | 0.131776i | ||||
\(675\) | 2.77403e8 | + | 1.60159e8i | 0.901987 | + | 0.520762i | ||||
\(676\) | 4.55459e7 | − | 7.88878e7i | 0.147438 | − | 0.255370i | ||||
\(677\) | 3.43079e8 | − | 1.98077e8i | 1.10568 | − | 0.638362i | 0.167970 | − | 0.985792i | \(-0.446279\pi\) |
0.937706 | + | 0.347430i | \(0.112945\pi\) | |||||||
\(678\) | − | 3.23970e8i | − | 1.03948i | ||||||
\(679\) | 1.43588e8 | − | 9.97585e7i | 0.458680 | − | 0.318670i | ||||
\(680\) | −284373. | −0.000904402 | ||||||||
\(681\) | −4.91883e7 | − | 8.51967e7i | −0.155747 | − | 0.269762i | ||||
\(682\) | −4.31665e8 | − | 2.49222e8i | −1.36080 | − | 0.785657i | ||||
\(683\) | −1.61680e8 | + | 2.80039e8i | −0.507452 | + | 0.878933i | 0.492510 | + | 0.870307i | \(0.336079\pi\) |
−0.999963 | + | 0.00862666i | \(0.997254\pi\) | |||||||
\(684\) | −3.31138e6 | + | 1.91183e6i | −0.0103476 | + | 0.00597420i | ||||
\(685\) | 7.79441e6i | 0.0242500i | ||||||||
\(686\) | −1.59628e8 | − | 1.63181e8i | −0.494467 | − | 0.505473i | ||||
\(687\) | −6.23206e7 | −0.192204 | ||||||||
\(688\) | 4.06645e7 | + | 7.04330e7i | 0.124868 | + | 0.216277i | ||||
\(689\) | −4.08258e8 | − | 2.35708e8i | −1.24818 | − | 0.720637i | ||||
\(690\) | 1.26346e7 | − | 2.18838e7i | 0.0384604 | − | 0.0666154i | ||||
\(691\) | −4.13643e8 | + | 2.38817e8i | −1.25369 | + | 0.723821i | −0.971841 | − | 0.235637i | \(-0.924282\pi\) |
−0.281853 | + | 0.959458i | \(0.590949\pi\) | |||||||
\(692\) | − | 1.11070e7i | − | 0.0335181i | ||||||
\(693\) | −2.73419e7 | − | 3.93547e7i | −0.0821540 | − | 0.118249i | ||||
\(694\) | 3.53559e8 | 1.05775 | ||||||||
\(695\) | 1.73495e7 | + | 3.00502e7i | 0.0516811 | + | 0.0895143i | ||||
\(696\) | 2.96346e7 | + | 1.71095e7i | 0.0878964 | + | 0.0507470i | ||||
\(697\) | 2.26463e6 | − | 3.92246e6i | 0.00668805 | − | 0.0115840i | ||||
\(698\) | 1.21989e8 | − | 7.04306e7i | 0.358720 | − | 0.207107i | ||||
\(699\) | − | 5.73681e8i | − | 1.67973i | ||||||
\(700\) | 7.23286e7 | − | 1.53635e8i | 0.210871 | − | 0.447916i | ||||
\(701\) | 1.25339e7 | 0.0363859 | 0.0181929 | − | 0.999834i | \(-0.494209\pi\) | ||||
0.0181929 | + | 0.999834i | \(0.494209\pi\) | |||||||
\(702\) | −1.62220e8 | − | 2.80973e8i | −0.468913 | − | 0.812181i | ||||
\(703\) | −1.03316e8 | − | 5.96494e7i | −0.297373 | − | 0.171688i | ||||
\(704\) | 2.53897e7 | − | 4.39762e7i | 0.0727678 | − | 0.126037i | ||||
\(705\) | −3.96316e7 | + | 2.28813e7i | −0.113103 | + | 0.0653000i | ||||
\(706\) | 3.91766e8i | 1.11330i | ||||||||
\(707\) | 4.46653e7 | + | 5.33043e8i | 0.126390 | + | 1.50836i | ||||
\(708\) | 1.75505e8 | 0.494526 | ||||||||
\(709\) | 9.71988e7 | + | 1.68353e8i | 0.272723 | + | 0.472371i | 0.969558 | − | 0.244861i | \(-0.0787423\pi\) |
−0.696835 | + | 0.717232i | \(0.745409\pi\) | |||||||
\(710\) | −2.47829e7 | − | 1.43084e7i | −0.0692433 | − | 0.0399777i | ||||
\(711\) | −3.78013e6 | + | 6.54739e6i | −0.0105172 | + | 0.0182163i | ||||
\(712\) | 7.96134e7 | − | 4.59648e7i | 0.220570 | − | 0.127346i | ||||
\(713\) | − | 8.09654e8i | − | 2.23373i | ||||||
\(714\) | 6.18568e6 | − | 518318.i | 0.0169939 | − | 0.00142397i | ||||
\(715\) | 5.32788e7 | 0.145759 | ||||||||
\(716\) | 4.71265e7 | + | 8.16254e7i | 0.128388 | + | 0.222375i | ||||
\(717\) | −8.56844e7 | − | 4.94699e7i | −0.232458 | − | 0.134210i | ||||
\(718\) | 8.51166e7 | − | 1.47426e8i | 0.229954 | − | 0.398292i | ||||
\(719\) | −2.09066e8 | + | 1.20704e8i | −0.562467 | + | 0.324741i | −0.754135 | − | 0.656719i | \(-0.771944\pi\) |
0.191668 | + | 0.981460i | \(0.438610\pi\) | |||||||
\(720\) | − | 1.14581e6i | − | 0.00306984i | ||||||
\(721\) | −2.25688e8 | − | 1.06250e8i | −0.602147 | − | 0.283480i | ||||
\(722\) | −2.56195e8 | −0.680705 | ||||||||
\(723\) | 1.24182e8 | + | 2.15090e8i | 0.328583 | + | 0.569122i | ||||
\(724\) | −8.00361e7 | − | 4.62089e7i | −0.210897 | − | 0.121761i | ||||
\(725\) | 5.78539e7 | − | 1.00206e8i | 0.151816 | − | 0.262954i | ||||
\(726\) | 7.79956e7 | − | 4.50308e7i | 0.203826 | − | 0.117679i | ||||
\(727\) | 3.89703e8i | 1.01422i | 0.861882 | + | 0.507109i | \(0.169286\pi\) | ||||
−0.861882 | + | 0.507109i | \(0.830714\pi\) | |||||||
\(728\) | −1.41250e8 | + | 9.81343e7i | −0.366096 | + | 0.254347i | ||||
\(729\) | −4.22749e8 | −1.09119 | ||||||||
\(730\) | 6.55594e6 | + | 1.13552e7i | 0.0168526 | + | 0.0291895i | ||||
\(731\) | 8.70595e6 | + | 5.02638e6i | 0.0222876 | + | 0.0128678i | ||||
\(732\) | 8.05484e7 | − | 1.39514e8i | 0.205364 | − | 0.355700i | ||||
\(733\) | 1.51751e8 | − | 8.76135e7i | 0.385319 | − | 0.222464i | −0.294811 | − | 0.955556i | \(-0.595257\pi\) |
0.680130 | + | 0.733092i | \(0.261923\pi\) | |||||||
\(734\) | − | 1.19995e8i | − | 0.303442i | ||||||
\(735\) | 1.28771e7 | − | 3.45877e7i | 0.0324306 | − | 0.0871083i | ||||
\(736\) | 8.24841e7 | 0.206889 | ||||||||
\(737\) | 1.11915e8 | + | 1.93843e8i | 0.279567 | + | 0.484224i | ||||
\(738\) | 1.58046e7 | + | 9.12478e6i | 0.0393201 | + | 0.0227014i | ||||
\(739\) | −3.83128e6 | + | 6.63597e6i | −0.00949315 | + | 0.0164426i | −0.870733 | − | 0.491756i | \(-0.836355\pi\) |
0.861240 | + | 0.508199i | \(0.169688\pi\) | |||||||
\(740\) | 3.09601e7 | − | 1.78748e7i | 0.0764023 | − | 0.0441109i | ||||
\(741\) | 9.27963e7i | 0.228074i | ||||||||
\(742\) | 1.88402e8 | + | 2.71178e8i | 0.461184 | + | 0.663809i | ||||
\(743\) | 4.78399e8 | 1.16634 | 0.583169 | − | 0.812351i | \(-0.301813\pi\) | ||||
0.583169 | + | 0.812351i | \(0.301813\pi\) | |||||||
\(744\) | 1.30076e8 | + | 2.25298e8i | 0.315848 | + | 0.547065i | ||||
\(745\) | −4.39702e7 | − | 2.53862e7i | −0.106338 | − | 0.0613944i | ||||
\(746\) | 1.38144e8 | − | 2.39272e8i | 0.332747 | − | 0.576335i | ||||
\(747\) | 1.26871e7 | − | 7.32488e6i | 0.0304368 | − | 0.0175727i | ||||
\(748\) | − | 6.27664e6i | − | 0.0149976i | ||||||
\(749\) | −2.55619e8 | + | 5.42967e8i | −0.608341 | + | 1.29219i | ||||
\(750\) | 5.51823e7 | 0.130802 | ||||||||
\(751\) | 3.50940e7 | + | 6.07847e7i | 0.0828540 | + | 0.143507i | 0.904475 | − | 0.426527i | \(-0.140263\pi\) |
−0.821621 | + | 0.570035i | \(0.806930\pi\) | |||||||
\(752\) | −1.29366e8 | − | 7.46895e7i | −0.304205 | − | 0.175633i | ||||
\(753\) | −1.42384e8 | + | 2.46615e8i | −0.333484 | + | 0.577611i | ||||
\(754\) | −1.01495e8 | + | 5.85983e7i | −0.236773 | + | 0.136701i | ||||
\(755\) | − | 2.03391e7i | − | 0.0472598i | ||||||
\(756\) | 1.89757e7 | + | 2.26458e8i | 0.0439169 | + | 0.524111i | ||||
\(757\) | −5.44271e7 | −0.125466 | −0.0627332 | − | 0.998030i | \(-0.519982\pi\) | ||||
−0.0627332 | + | 0.998030i | \(0.519982\pi\) | |||||||
\(758\) | 2.37747e7 | + | 4.11790e7i | 0.0545893 | + | 0.0945514i | ||||
\(759\) | 4.83015e8 | + | 2.78869e8i | 1.10468 | + | 0.637786i | ||||
\(760\) | −1.48887e6 | + | 2.57880e6i | −0.00339168 | + | 0.00587457i | ||||
\(761\) | 4.83017e8 | − | 2.78870e8i | 1.09599 | − | 0.632773i | 0.160829 | − | 0.986982i | \(-0.448583\pi\) |
0.935166 | + | 0.354210i | \(0.115250\pi\) | |||||||
\(762\) | 1.16298e8i | 0.262850i | ||||||||
\(763\) | 2.64162e8 | − | 2.21350e7i | 0.594699 | − | 0.0498317i | ||||
\(764\) | −1.81354e8 | −0.406674 | ||||||||
\(765\) | −70814.7 | − | 122655.i | −0.000158175 | − | 0.000273968i | ||||
\(766\) | 8.33729e7 | + | 4.81354e7i | 0.185498 | + | 0.107097i | ||||
\(767\) | −3.00542e8 | + | 5.20555e8i | −0.666070 | + | 1.15367i | ||||
\(768\) | −2.29524e7 | + | 1.32516e7i | −0.0506693 | + | 0.0292539i | ||||
\(769\) | − | 3.50325e8i | − | 0.770356i | −0.922842 | − | 0.385178i | \(-0.874140\pi\) | ||
0.922842 | − | 0.385178i | \(-0.125860\pi\) | |||||||
\(770\) | −3.37644e7 | − | 1.58956e7i | −0.0739582 | − | 0.0348182i | ||||
\(771\) | −7.88286e8 | −1.71997 | ||||||||
\(772\) | −2.09380e8 | − | 3.62657e8i | −0.455076 | − | 0.788215i | ||||
\(773\) | 4.94039e8 | + | 2.85234e8i | 1.06960 | + | 0.617536i | 0.928073 | − | 0.372398i | \(-0.121464\pi\) |
0.141530 | + | 0.989934i | \(0.454798\pi\) | |||||||
\(774\) | −2.02526e7 | + | 3.50785e7i | −0.0436775 | + | 0.0756516i | ||||
\(775\) | 7.61819e8 | − | 4.39837e8i | 1.63662 | − | 0.944901i | ||||
\(776\) | 9.22729e7i | 0.197464i | ||||||||
\(777\) | −6.40864e8 | + | 4.45243e8i | −1.36616 | + | 0.949148i | ||||
\(778\) | −3.38444e7 | −0.0718702 | ||||||||
\(779\) | −2.37135e7 | − | 4.10730e7i | −0.0501630 | − | 0.0868848i | ||||
\(780\) | −2.40822e7 | − | 1.39039e7i | −0.0507472 | − | 0.0292989i | ||||
\(781\) | 3.15814e8 | − | 5.47006e8i | 0.662946 | − | 1.14826i | ||||
\(782\) | 8.82960e6 | − | 5.09777e6i | 0.0184638 | − | 0.0106601i | ||||
\(783\) | 1.54849e8i | 0.322570i | ||||||||
\(784\) | 1.18793e8 | − | 2.00488e7i | 0.246514 | − | 0.0416044i | ||||
\(785\) | −7.14208e7 | −0.147644 | ||||||||
\(786\) | 2.19314e8 | + | 3.79863e8i | 0.451647 | + | 0.782275i | ||||
\(787\) | −6.46413e8 | − | 3.73207e8i | −1.32613 | − | 0.765641i | −0.341431 | − | 0.939907i | \(-0.610911\pi\) |
−0.984699 | + | 0.174266i | \(0.944245\pi\) | |||||||
\(788\) | −7.15341e7 | + | 1.23901e8i | −0.146196 | + | 0.253218i | ||||
\(789\) | 2.95909e8 | − | 1.70843e8i | 0.602459 | − | 0.347830i | ||||
\(790\) | 5.88770e6i | 0.0119416i | ||||||||
\(791\) | −4.43438e8 | − | 6.38267e8i | −0.895992 | − | 1.28965i | ||||
\(792\) | 2.52902e7 | 0.0509069 | ||||||||
\(793\) | 2.75870e8 | + | 4.77820e8i | 0.553203 | + | 0.958175i | ||||
\(794\) | −5.17640e8 | − | 2.98860e8i | −1.03411 | − | 0.597043i | ||||
\(795\) | −2.66932e7 | + | 4.62340e7i | −0.0531250 | + | 0.0920153i | ||||
\(796\) | −2.23299e8 | + | 1.28922e8i | −0.442738 | + | 0.255615i | ||||
\(797\) | − | 8.52897e8i | − | 1.68470i | −0.538934 | − | 0.842348i | \(-0.681173\pi\) | ||
0.538934 | − | 0.842348i | \(-0.318827\pi\) | |||||||
\(798\) | 2.76856e7 | − | 5.88077e7i | 0.0544810 | − | 0.115725i | ||||
\(799\) | −1.84642e7 | −0.0361984 | ||||||||
\(800\) | 4.48087e7 | + | 7.76109e7i | 0.0875169 | + | 0.151584i | ||||
\(801\) | 3.96507e7 | + | 2.28924e7i | 0.0771532 | + | 0.0445444i | ||||
\(802\) | 1.73294e8 | − | 3.00153e8i | 0.335938 | − | 0.581862i | ||||
\(803\) | −2.50631e8 | + | 1.44702e8i | −0.484047 | + | 0.279465i | ||||
\(804\) | − | 1.16823e8i | − | 0.224782i | ||||||
\(805\) | −5.06176e6 | − | 6.04078e7i | −0.00970317 | − | 0.115799i | ||||
\(806\) | −8.90992e8 | −1.70164 | ||||||||
\(807\) | −3.29530e8 | − | 5.70762e8i | −0.627010 | − | 1.08601i | ||||
\(808\) | −2.44480e8 | − | 1.41151e8i | −0.463457 | − | 0.267577i | ||||
\(809\) | 2.68931e8 | − | 4.65802e8i | 0.507920 | − | 0.879744i | −0.492038 | − | 0.870574i | \(-0.663748\pi\) |
0.999958 | − | 0.00916987i | \(-0.00291890\pi\) | |||||||
\(810\) | −2.78231e7 | + | 1.60637e7i | −0.0523540 | + | 0.0302266i | ||||
\(811\) | − | 546840.i | − | 0.00102517i | −1.00000 | 0.000512587i | \(-0.999837\pi\) | |||
1.00000 | 0.000512587i | \(-0.000163162\pi\) | ||||||||
\(812\) | 8.18032e7 | − | 6.85454e6i | 0.152793 | − | 0.0128030i | ||||
\(813\) | 2.79179e8 | 0.519530 | ||||||||
\(814\) | 3.94530e8 | + | 6.83346e8i | 0.731487 | + | 1.26697i | ||||
\(815\) | 1.02965e7 | + | 5.94472e6i | 0.0190204 | + | 0.0109814i | ||||
\(816\) | −1.63798e6 | + | 2.83706e6i | −0.00301465 | + | 0.00522153i | ||||
\(817\) | 9.11621e7 | − | 5.26325e7i | 0.167166 | − | 0.0965134i | ||||
\(818\) | 6.18850e8i | 1.13064i | ||||||||
\(819\) | −7.75011e7 | − | 3.64861e7i | −0.141077 | − | 0.0664165i | ||||
\(820\) | 1.42122e7 | 0.0257762 | ||||||||
\(821\) | 2.66538e7 | + | 4.61657e7i | 0.0481648 | + | 0.0834238i | 0.889103 | − | 0.457708i | \(-0.151329\pi\) |
−0.840938 | + | 0.541132i | \(0.817996\pi\) | |||||||
\(822\) | 7.77613e7 | + | 4.48955e7i | 0.140006 | + | 0.0808328i | ||||
\(823\) | 3.83179e8 | − | 6.63686e8i | 0.687389 | − | 1.19059i | −0.285291 | − | 0.958441i | \(-0.592090\pi\) |
0.972680 | − | 0.232151i | \(-0.0745764\pi\) | |||||||
\(824\) | 1.14009e8 | − | 6.58234e7i | 0.203779 | − | 0.117652i | ||||
\(825\) | 6.05971e8i | 1.07917i | ||||||||
\(826\) | 3.45769e8 | − | 2.40224e8i | 0.613544 | − | 0.426262i | ||||
\(827\) | 1.00353e9 | 1.77425 | 0.887127 | − | 0.461526i | \(-0.152698\pi\) | ||||
0.887127 | + | 0.461526i | \(0.152698\pi\) | |||||||
\(828\) | 2.05402e7 | + | 3.55767e7i | 0.0361838 | + | 0.0626722i | ||||
\(829\) | −1.28437e8 | − | 7.41532e7i | −0.225438 | − | 0.130157i | 0.383028 | − | 0.923737i | \(-0.374881\pi\) |
−0.608466 | + | 0.793580i | \(0.708215\pi\) | |||||||
\(830\) | 5.70438e6 | − | 9.88028e6i | 0.00997641 | − | 0.0172796i | ||||
\(831\) | 3.49067e8 | − | 2.01534e8i | 0.608283 | − | 0.351192i | ||||
\(832\) | − | 9.07705e7i | − | 0.157607i | ||||||
\(833\) | 1.14772e7 | − | 9.48790e6i | 0.0198564 | − | 0.0164148i | ||||
\(834\) | 3.99729e8 | 0.689077 | ||||||||
\(835\) | 4.16357e7 | + | 7.21151e7i | 0.0715165 | + | 0.123870i | ||||
\(836\) | −5.69188e7 | − | 3.28621e7i | −0.0974175 | − | 0.0562440i | ||||
\(837\) | −5.88624e8 | + | 1.01953e9i | −1.00383 | + | 1.73869i | ||||
\(838\) | 1.00163e8 | − | 5.78293e7i | 0.170207 | − | 0.0982688i | ||||
\(839\) | 2.21066e8i | 0.374315i | 0.982330 | + | 0.187157i | \(0.0599274\pi\) | ||||
−0.982330 | + | 0.187157i | \(0.940073\pi\) | |||||||
\(840\) | 1.11134e7 | + | 1.59962e7i | 0.0187503 | + | 0.0269884i | ||||
\(841\) | −5.38887e8 | −0.905962 | ||||||||
\(842\) | −9.02991e7 | − | 1.56403e8i | −0.151268 | − | 0.262004i | ||||
\(843\) | −2.74989e7 | − | 1.58765e7i | −0.0459021 | − | 0.0265016i | ||||
\(844\) | −6.74895e6 | + | 1.16895e7i | −0.0112256 | + | 0.0194433i | ||||
\(845\) | 3.05973e7 | − | 1.76653e7i | 0.0507122 | − | 0.0292787i | ||||
\(846\) | − | 7.43969e7i | − | 0.122869i | ||||||
\(847\) | 9.20258e7 | − | 1.95474e8i | 0.151446 | − | 0.321692i | ||||
\(848\) | −1.74265e8 | −0.285774 | ||||||||
\(849\) | 4.26319e6 | + | 7.38405e6i | 0.00696645 | + | 0.0120662i | ||||
\(850\) | 9.59319e6 | + | 5.53863e6i | 0.0156209 | + | 0.00901873i | ||||
\(851\) | −6.40860e8 | + | 1.11000e9i | −1.03986 | + | 1.80109i | ||||
\(852\) | −2.85498e8 | + | 1.64832e8i | −0.461619 | + | 0.266516i | ||||
\(853\) | 9.10570e8i | 1.46712i | 0.679624 | + | 0.733561i | \(0.262143\pi\) | ||||
−0.679624 | + | 0.733561i | \(0.737857\pi\) | |||||||
\(854\) | −3.22699e7 | − | 3.85114e8i | −0.0518112 | − | 0.618323i | ||||
\(855\) | −1.48303e6 | −0.00237276 | ||||||||
\(856\) | −1.58360e8 | − | 2.74287e8i | −0.252478 | − | 0.437305i | ||||
\(857\) | 1.68169e8 | + | 9.70924e7i | 0.267180 | + | 0.154256i | 0.627605 | − | 0.778532i | \(-0.284035\pi\) |
−0.360426 | + | 0.932788i | \(0.617369\pi\) | |||||||
\(858\) | 3.06884e8 | − | 5.31539e8i | 0.485862 | − | 0.841537i | ||||
\(859\) | −6.25498e8 | + | 3.61132e8i | −0.986840 | + | 0.569752i | −0.904328 | − | 0.426838i | \(-0.859628\pi\) |
−0.0825118 | + | 0.996590i | \(0.526294\pi\) | |||||||
\(860\) | 3.15441e7i | 0.0495933i | ||||||||
\(861\) | −3.09143e8 | + | 2.59041e7i | −0.484340 | + | 0.0405844i | ||||
\(862\) | −1.76088e6 | −0.00274922 | ||||||||
\(863\) | 9.71379e7 | + | 1.68248e8i | 0.151132 | + | 0.261768i | 0.931644 | − | 0.363373i | \(-0.118375\pi\) |
−0.780512 | + | 0.625141i | \(0.785042\pi\) | |||||||
\(864\) | −1.03865e8 | − | 5.99665e7i | −0.161038 | − | 0.0929753i | ||||
\(865\) | 2.15397e6 | − | 3.73079e6i | 0.00332807 | − | 0.00576438i | ||||
\(866\) | 2.48012e8 | − | 1.43190e8i | 0.381873 | − | 0.220475i | ||||
\(867\) | − | 6.09681e8i | − | 0.935504i | ||||||
\(868\) | 5.64648e8 | + | 2.65826e8i | 0.863413 | + | 0.406479i | ||||
\(869\) | −1.29952e8 | −0.198027 | ||||||||
\(870\) | 6.63607e6 | + | 1.14940e7i | 0.0100775 | + | 0.0174548i | ||||
\(871\) | 3.46503e8 | + | 2.00053e8i | 0.524387 | + | 0.302755i | ||||
\(872\) | −6.99506e7 | + | 1.21158e8i | −0.105497 | + | 0.182727i | ||||
\(873\) | −3.97988e7 | + | 2.29778e7i | −0.0598173 | + | 0.0345355i | ||||
\(874\) | − | 1.06760e8i | − | 0.159909i | ||||||
\(875\) | 1.08717e8 | − | 7.55315e7i | 0.162283 | − | 0.112747i | ||||
\(876\) | 1.51048e8 | 0.224700 | ||||||||
\(877\) | −2.48367e8 | − | 4.30184e8i | −0.368210 | − | 0.637758i | 0.621076 | − | 0.783750i | \(-0.286696\pi\) |
−0.989286 | + | 0.145992i | \(0.953362\pi\) | |||||||
\(878\) | 3.96607e8 | + | 2.28981e8i | 0.585973 | + | 0.338311i | ||||
\(879\) | −1.64739e8 | + | 2.85336e8i | −0.242566 | + | 0.420136i | ||||
\(880\) | 1.70565e7 | − | 9.84759e6i | 0.0250290 | − | 0.0144505i | ||||
\(881\) | 8.63809e7i | 0.126325i | 0.998003 | + | 0.0631626i | \(0.0201187\pi\) | ||||
−0.998003 | + | 0.0631626i | \(0.979881\pi\) | |||||||
\(882\) | 3.82292e7 | + | 4.62446e7i | 0.0557172 | + | 0.0673993i | ||||
\(883\) | 6.49219e8 | 0.942994 | 0.471497 | − | 0.881868i | \(-0.343714\pi\) | ||||
0.471497 | + | 0.881868i | \(0.343714\pi\) | |||||||
\(884\) | −5.60990e6 | − | 9.71663e6i | −0.00812079 | − | 0.0140656i | ||||
\(885\) | 5.89512e7 | + | 3.40355e7i | 0.0850477 | + | 0.0491023i | ||||
\(886\) | −7.26180e6 | + | 1.25778e7i | −0.0104410 | + | 0.0180844i | ||||
\(887\) | −6.17373e8 | + | 3.56441e8i | −0.884661 | + | 0.510759i | −0.872192 | − | 0.489163i | \(-0.837302\pi\) |
−0.0124685 | + | 0.999922i | \(0.503969\pi\) | |||||||
\(888\) | − | 4.11833e8i | − | 0.588141i | ||||||
\(889\) | 1.59184e8 | + | 2.29123e8i | 0.226566 | + | 0.326110i | ||||
\(890\) | 3.56557e7 | 0.0505776 | ||||||||
\(891\) | −3.54555e8 | − | 6.14107e8i | −0.501246 | − | 0.868183i | ||||
\(892\) | 1.24541e8 | + | 7.19038e7i | 0.175476 | + | 0.101311i | ||||
\(893\) | −9.66714e7 | + | 1.67440e8i | −0.135751 | + | 0.235128i | ||||
\(894\) | −5.06533e8 | + | 2.92447e8i | −0.708917 | + | 0.409293i | ||||
\(895\) | 3.65568e7i | 0.0509916i | ||||||||
\(896\) | −2.70812e7 | + | 5.75239e7i | −0.0376482 | + | 0.0799695i | ||||
\(897\) | 9.96983e8 | 1.38137 | ||||||||
\(898\) | −1.72910e8 | − | 2.99489e8i | −0.238777 | − | 0.413573i | ||||
\(899\) | 3.68282e8 | + | 2.12628e8i | 0.506875 | + | 0.292645i | ||||
\(900\) | −2.23166e7 | + | 3.86534e7i | −0.0306126 | + | 0.0530225i | ||||
\(901\) | −1.86544e7 | + | 1.07701e7i | −0.0255039 | + | 0.0147247i | ||||
\(902\) | 3.13689e8i | 0.427445i | ||||||||
\(903\) | −5.74945e7 | − | 6.86148e8i | −0.0780842 | − | 0.931869i | ||||
\(904\) | 4.10164e8 | 0.555203 | ||||||||
\(905\) | −1.79225e7 | − | 3.10427e7i | −0.0241798 | − | 0.0418806i | ||||
\(906\) | −2.02914e8 | − | 1.17153e8i | −0.272853 | − | 0.157532i | ||||
\(907\) | 4.14206e8 | − | 7.17425e8i | 0.555129 | − | 0.961512i | −0.442764 | − | 0.896638i | \(-0.646002\pi\) |
0.997893 | − | 0.0648738i | \(-0.0206645\pi\) | |||||||
\(908\) | 1.07864e8 | − | 6.22751e7i | 0.144085 | − | 0.0831873i | ||||
\(909\) | − | 1.40597e8i | − | 0.187191i | ||||||
\(910\) | −6.64764e7 | + | 5.57026e6i | −0.0882152 | + | 0.00739182i | ||||
\(911\) | −1.17587e9 | −1.55526 | −0.777631 | − | 0.628721i | \(-0.783579\pi\) | ||||
−0.777631 | + | 0.628721i | \(0.783579\pi\) | |||||||
\(912\) | 1.71516e7 | + | 2.97075e7i | 0.0226111 | + | 0.0391635i | ||||
\(913\) | 2.18076e8 | + | 1.25906e8i | 0.286547 | + | 0.165438i | ||||
\(914\) | 2.71449e7 | − | 4.70164e7i | 0.0355509 | − | 0.0615759i | ||||
\(915\) | 5.41116e7 | − | 3.12414e7i | 0.0706362 | − | 0.0407818i | ||||
\(916\) | − | 7.89013e7i | − | 0.102659i | ||||||
\(917\) | 9.52022e8 | + | 4.48195e8i | 1.23464 | + | 0.581244i | ||||
\(918\) | −1.48245e7 | −0.0191625 | ||||||||
\(919\) | −2.25460e8 | − | 3.90508e8i | −0.290485 | − | 0.503134i | 0.683440 | − | 0.730007i | \(-0.260483\pi\) |
−0.973924 | + | 0.226873i | \(0.927150\pi\) | |||||||
\(920\) | 2.77060e7 | + | 1.59961e7i | 0.0355804 | + | 0.0205423i | ||||
\(921\) | 4.40576e8 | − | 7.63101e8i | 0.563952 | − | 0.976794i | ||||
\(922\) | −2.96147e8 | + | 1.70981e8i | −0.377846 | + | 0.218150i | ||||
\(923\) | − | 1.12907e9i | − | 1.43587i | ||||||
\(924\) | −3.53065e8 | + | 2.45293e8i | −0.447547 | + | 0.310935i | ||||
\(925\) | −1.39256e9 | −1.75950 | ||||||||
\(926\) | −3.24582e8 | − | 5.62192e8i | −0.408781 | − | 0.708030i | ||||
\(927\) | 5.67813e7 | + | 3.27827e7i | 0.0712798 | + | 0.0411534i | ||||
\(928\) | −2.16616e7 | + | 3.75190e7i | −0.0271048 | + | 0.0469469i | ||||
\(929\) | −1.03420e9 | + | 5.97094e8i | −1.28990 | + | 0.744725i | −0.978636 | − | 0.205599i | \(-0.934086\pi\) |
−0.311264 | + | 0.950323i | \(0.600752\pi\) | |||||||
\(930\) | 1.00902e8i | 0.125444i | ||||||||
\(931\) | −2.59493e7 | − | 1.53754e8i | −0.0321571 | − | 0.190537i | ||||
\(932\) | 7.26311e8 | 0.897170 | ||||||||
\(933\) | −5.57398e8 | − | 9.65441e8i | −0.686310 | − | 1.18872i | ||||
\(934\) | −3.35793e8 | − | 1.93870e8i | −0.412127 | − | 0.237942i | ||||
\(935\) | 1.21722e6 | − | 2.10829e6i | 0.00148914 | − | 0.00257927i | ||||
\(936\) | 3.91508e7 | − | 2.26037e7i | 0.0477433 | − | 0.0275646i | ||||
\(937\) | − | 5.57908e8i | − | 0.678178i | −0.940754 | − | 0.339089i | \(-0.889881\pi\) | ||
0.940754 | − | 0.339089i | \(-0.110119\pi\) | |||||||
\(938\) | −1.59903e8 | − | 2.30158e8i | −0.193753 | − | 0.278880i | ||||
\(939\) | 1.10052e9 | 1.32923 | ||||||||
\(940\) | −2.89690e7 | − | 5.01757e7i | −0.0348778 | − | 0.0604101i | ||||
\(941\) | 9.18066e8 | + | 5.30046e8i | 1.10181 | + | 0.636128i | 0.936695 | − | 0.350147i | \(-0.113868\pi\) |
0.165111 | + | 0.986275i | \(0.447202\pi\) | |||||||
\(942\) | −4.11381e8 | + | 7.12533e8i | −0.492143 | + | 0.852417i | ||||
\(943\) | −4.41279e8 | + | 2.54773e8i | −0.526234 | + | 0.303821i | ||||
\(944\) | 2.22198e8i | 0.264134i | ||||||||
\(945\) | −3.75431e7 | + | 7.97462e7i | −0.0444871 | + | 0.0944963i | ||||
\(946\) | −6.96238e8 | −0.822402 | ||||||||
\(947\) | −4.08434e8 | − | 7.07429e8i | −0.480919 | − | 0.832977i | 0.518841 | − | 0.854871i | \(-0.326364\pi\) |
−0.999760 | + | 0.0218939i | \(0.993030\pi\) | |||||||
\(948\) | 5.87389e7 | + | 3.39129e7i | 0.0689447 | + | 0.0398052i | ||||
\(949\) | −2.58661e8 | + | 4.48015e8i | −0.302645 | + | 0.524196i | ||||
\(950\) | 1.00453e8 | − | 5.79963e7i | 0.117163 | − | 0.0676440i | ||||
\(951\) | 8.27499e8i | 0.962112i | ||||||||
\(952\) | 656218. | + | 7.83141e6i | 0.000760567 | + | 0.00907672i | ||||
\(953\) | 1.23336e9 | 1.42499 | 0.712494 | − | 0.701678i | \(-0.247565\pi\) | ||||
0.712494 | + | 0.701678i | \(0.247565\pi\) | |||||||
\(954\) | −4.33955e7 | − | 7.51632e7i | −0.0499804 | − | 0.0865686i | ||||
\(955\) | −6.09158e7 | − | 3.51697e7i | −0.0699390 | − | 0.0403793i | ||||
\(956\) | 6.26316e7 | − | 1.08481e8i | 0.0716836 | − | 0.124160i | ||||
\(957\) | −2.53694e8 | + | 1.46471e8i | −0.289451 | + | 0.167115i | ||||
\(958\) | 5.53180e8i | 0.629173i | ||||||||
\(959\) | 2.14652e8 | − | 1.79864e7i | 0.243377 | − | 0.0203933i | ||||
\(960\) | −1.02795e7 | −0.0116187 | ||||||||
\(961\) | 1.17276e9 | + | 2.03128e9i | 1.32141 | + | 2.28875i | ||||
\(962\) | 1.22151e9 | + | 7.05241e8i | 1.37206 | + | 0.792159i | ||||
\(963\) | 7.88697e7 | − | 1.36606e8i | 0.0883143 | − | 0.152965i | ||||
\(964\) | −2.72316e8 | + | 1.57222e8i | −0.303978 | + | 0.175502i | ||||
\(965\) | − | 1.62420e8i | − | 0.180741i | ||||||
\(966\) | −6.31817e8 | − | 2.97448e8i | −0.700906 | − | 0.329974i | ||||
\(967\) | −5.82431e8 | −0.644118 | −0.322059 | − | 0.946720i | \(-0.604375\pi\) | ||||
−0.322059 | + | 0.946720i | \(0.604375\pi\) | |||||||
\(968\) | 5.70114e7 | + | 9.87466e7i | 0.0628544 | + | 0.108867i | ||||
\(969\) | 3.67203e6 | + | 2.12005e6i | 0.00403585 | + | 0.00233010i | ||||
\(970\) | −1.78944e7 | + | 3.09940e7i | −0.0196066 | + | 0.0339596i | ||||
\(971\) | 2.97824e7 | − | 1.71949e7i | 0.0325314 | − | 0.0187820i | −0.483646 | − | 0.875264i | \(-0.660688\pi\) |
0.516177 | + | 0.856482i | \(0.327354\pi\) | |||||||
\(972\) | − | 1.12889e8i | − | 0.122929i | ||||||
\(973\) | 7.87523e8 | − | 5.47135e8i | 0.854918 | − | 0.593958i | ||||
\(974\) | −1.29080e8 | −0.139695 | ||||||||
\(975\) | 5.41601e8 | + | 9.38081e8i | 0.584340 | + | 1.01211i | ||||
\(976\) | 1.76632e8 | + | 1.01979e8i | 0.189986 | + | 0.109688i | ||||
\(977\) | 2.60603e8 | − | 4.51377e8i | 0.279444 | − | 0.484012i | −0.691802 | − | 0.722087i | \(-0.743183\pi\) |
0.971247 | + | 0.238075i | \(0.0765164\pi\) | |||||||
\(978\) | 1.18615e8 | − | 6.84827e7i | 0.126802 | − | 0.0732090i | ||||
\(979\) | 7.86987e8i | 0.838725i | ||||||||
\(980\) | 4.37899e7 | + | 1.63031e7i | 0.0465260 | + | 0.0173217i | ||||
\(981\) | −6.96765e7 | −0.0738039 | ||||||||
\(982\) | 3.15696e7 | + | 5.46802e7i | 0.0333376 | + | 0.0577425i | ||||
\(983\) | −5.40048e8 | − | 3.11797e8i | −0.568554 | − | 0.328255i | 0.188018 | − | 0.982166i | \(-0.439794\pi\) |
−0.756572 | + | 0.653911i | \(0.773127\pi\) | |||||||
\(984\) | 8.18616e7 | − | 1.41788e8i | 0.0859201 | − | 0.148818i | ||||
\(985\) | −4.80559e7 | + | 2.77451e7i | −0.0502850 | + | 0.0290320i | ||||
\(986\) | 5.35501e6i | 0.00558637i | ||||||||
\(987\) | 7.21587e8 | + | 1.03862e9i | 0.750476 | + | 1.08020i | ||||
\(988\) | −1.17485e8 | −0.121818 | ||||||||
\(989\) | −5.65472e8 | − | 9.79426e8i | −0.584550 | − | 1.01247i | ||||
\(990\) | 8.49485e6 | + | 4.90450e6i | 0.00875488 | + | 0.00505463i | ||||
\(991\) | −6.99332e7 | + | 1.21128e8i | −0.0718559 | + | 0.124458i | −0.899715 | − | 0.436478i | \(-0.856226\pi\) |
0.827859 | + | 0.560937i | \(0.189559\pi\) | |||||||
\(992\) | −2.85240e8 | + | 1.64683e8i | −0.292196 | + | 0.168700i | ||||
\(993\) | 7.99344e8i | 0.816368i | ||||||||
\(994\) | −3.36854e8 | + | 7.15521e8i | −0.342991 | + | 0.728557i | ||||
\(995\) | −1.00007e8 | −0.101522 | ||||||||
\(996\) | −6.57140e7 | − | 1.13820e8i | −0.0665090 | − | 0.115197i | ||||
\(997\) | −1.68279e9 | − | 9.71557e8i | −1.69802 | − | 0.980353i | −0.947636 | − | 0.319354i | \(-0.896534\pi\) |
−0.750386 | − | 0.661000i | \(-0.770132\pi\) | |||||||
\(998\) | −1.22543e8 | + | 2.12252e8i | −0.123282 | + | 0.213530i | ||||
\(999\) | 1.61396e9 | − | 9.31820e8i | 1.61881 | − | 0.934621i |
(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 | 14.7.d.a.3.4 | ✓ | 8 | |
3.2 | odd | 2 | 126.7.n.c.73.1 | 8 | |||
4.3 | odd | 2 | 112.7.s.c.17.2 | 8 | |||
7.2 | even | 3 | 98.7.d.c.19.3 | 8 | |||
7.3 | odd | 6 | 98.7.b.c.97.3 | 8 | |||
7.4 | even | 3 | 98.7.b.c.97.2 | 8 | |||
7.5 | odd | 6 | inner | 14.7.d.a.5.4 | yes | 8 | |
7.6 | odd | 2 | 98.7.d.c.31.3 | 8 | |||
21.5 | even | 6 | 126.7.n.c.19.1 | 8 | |||
28.19 | even | 6 | 112.7.s.c.33.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.7.d.a.3.4 | ✓ | 8 | 1.1 | even | 1 | trivial | |
14.7.d.a.5.4 | yes | 8 | 7.5 | odd | 6 | inner | |
98.7.b.c.97.2 | 8 | 7.4 | even | 3 | |||
98.7.b.c.97.3 | 8 | 7.3 | odd | 6 | |||
98.7.d.c.19.3 | 8 | 7.2 | even | 3 | |||
98.7.d.c.31.3 | 8 | 7.6 | odd | 2 | |||
112.7.s.c.17.2 | 8 | 4.3 | odd | 2 | |||
112.7.s.c.33.2 | 8 | 28.19 | even | 6 | |||
126.7.n.c.19.1 | 8 | 21.5 | even | 6 | |||
126.7.n.c.73.1 | 8 | 3.2 | odd | 2 |