Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,8,Mod(9,14)]
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([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.c (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: | \(4.37339035678\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{949})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + 238x^{2} + 237x + 56169 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(7.95146 + 13.7723i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.11 |
Dual form | 14.8.c.b.9.2 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.00000 | + | 6.92820i | 0.353553 | + | 0.612372i | ||||
\(3\) | 1.40292 | − | 2.42993i | 0.0299992 | − | 0.0519601i | −0.850636 | − | 0.525755i | \(-0.823783\pi\) |
0.880635 | + | 0.473795i | \(0.157116\pi\) | |||||||
\(4\) | −32.0000 | + | 55.4256i | −0.250000 | + | 0.433013i | ||||
\(5\) | 219.141 | + | 379.563i | 0.784022 | + | 1.35797i | 0.929581 | + | 0.368617i | \(0.120169\pi\) |
−0.145559 | + | 0.989350i | \(0.546498\pi\) | |||||||
\(6\) | 22.4467 | 0.0424252 | ||||||||
\(7\) | −893.282 | + | 159.971i | −0.984340 | + | 0.176278i | ||||
\(8\) | −512.000 | −0.353553 | ||||||||
\(9\) | 1089.56 | + | 1887.18i | 0.498200 | + | 0.862908i | ||||
\(10\) | −1753.13 | + | 3036.51i | −0.554388 | + | 0.960227i | ||||
\(11\) | 2740.43 | − | 4746.57i | 0.620790 | − | 1.07524i | −0.368549 | − | 0.929609i | \(-0.620145\pi\) |
0.989339 | − | 0.145632i | \(-0.0465215\pi\) | |||||||
\(12\) | 89.7870 | + | 155.516i | 0.0149996 | + | 0.0259800i | ||||
\(13\) | 4006.54 | 0.505787 | 0.252894 | − | 0.967494i | \(-0.418618\pi\) | ||||
0.252894 | + | 0.967494i | \(0.418618\pi\) | |||||||
\(14\) | −4681.44 | − | 5548.96i | −0.455964 | − | 0.540459i | ||||
\(15\) | 1229.75 | 0.0940800 | ||||||||
\(16\) | −2048.00 | − | 3547.24i | −0.125000 | − | 0.216506i | ||||
\(17\) | 14011.5 | − | 24268.6i | 0.691693 | − | 1.19805i | −0.279590 | − | 0.960119i | \(-0.590199\pi\) |
0.971283 | − | 0.237927i | \(-0.0764681\pi\) | |||||||
\(18\) | −8716.51 | + | 15097.4i | −0.352281 | + | 0.610168i | ||||
\(19\) | −11920.6 | − | 20647.0i | −0.398712 | − | 0.690590i | 0.594855 | − | 0.803833i | \(-0.297209\pi\) |
−0.993567 | + | 0.113243i | \(0.963876\pi\) | |||||||
\(20\) | −28050.0 | −0.784022 | ||||||||
\(21\) | −864.487 | + | 2395.04i | −0.0203700 | + | 0.0564346i | ||||
\(22\) | 43846.9 | 0.877930 | ||||||||
\(23\) | 36877.3 | + | 63873.3i | 0.631992 | + | 1.09464i | 0.987144 | + | 0.159833i | \(0.0510956\pi\) |
−0.355152 | + | 0.934808i | \(0.615571\pi\) | |||||||
\(24\) | −718.296 | + | 1244.13i | −0.0106063 | + | 0.0183707i | ||||
\(25\) | −56983.0 | + | 98697.4i | −0.729382 | + | 1.26333i | ||||
\(26\) | 16026.2 | + | 27758.1i | 0.178823 | + | 0.309730i | ||||
\(27\) | 12250.7 | 0.119781 | ||||||||
\(28\) | 19718.5 | − | 54629.8i | 0.169755 | − | 0.470301i | ||||
\(29\) | −98721.3 | −0.751653 | −0.375827 | − | 0.926690i | \(-0.622641\pi\) | ||||
−0.375827 | + | 0.926690i | \(0.622641\pi\) | |||||||
\(30\) | 4919.00 | + | 8519.96i | 0.0332623 | + | 0.0576120i | ||||
\(31\) | 23743.4 | − | 41124.8i | 0.143145 | − | 0.247935i | −0.785534 | − | 0.618818i | \(-0.787612\pi\) |
0.928680 | + | 0.370883i | \(0.120945\pi\) | |||||||
\(32\) | 16384.0 | − | 28377.9i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −7689.23 | − | 13318.1i | −0.0372464 | − | 0.0645126i | ||||
\(34\) | 224184. | 0.978201 | ||||||||
\(35\) | −256474. | − | 304001.i | −1.01112 | − | 1.19850i | ||||
\(36\) | −139464. | −0.498200 | ||||||||
\(37\) | 50031.2 | + | 86656.7i | 0.162381 | + | 0.281252i | 0.935722 | − | 0.352738i | \(-0.114749\pi\) |
−0.773341 | + | 0.633990i | \(0.781416\pi\) | |||||||
\(38\) | 95364.6 | − | 165176.i | 0.281932 | − | 0.488321i | ||||
\(39\) | 5620.87 | − | 9735.63i | 0.0151732 | − | 0.0262808i | ||||
\(40\) | −112200. | − | 194336.i | −0.277194 | − | 0.480114i | ||||
\(41\) | 489123. | 1.10834 | 0.554172 | − | 0.832402i | \(-0.313035\pi\) | ||||
0.554172 | + | 0.832402i | \(0.313035\pi\) | |||||||
\(42\) | −20051.3 | + | 3590.82i | −0.0417609 | + | 0.00747862i | ||||
\(43\) | 299600. | 0.574649 | 0.287324 | − | 0.957833i | \(-0.407234\pi\) | ||||
0.287324 | + | 0.957833i | \(0.407234\pi\) | |||||||
\(44\) | 175388. | + | 303781.i | 0.310395 | + | 0.537620i | ||||
\(45\) | −477536. | + | 827116.i | −0.781200 | + | 1.35308i | ||||
\(46\) | −295018. | + | 510986.i | −0.446886 | + | 0.774029i | ||||
\(47\) | −481369. | − | 833756.i | −0.676295 | − | 1.17138i | −0.976089 | − | 0.217373i | \(-0.930251\pi\) |
0.299794 | − | 0.954004i | \(-0.403082\pi\) | |||||||
\(48\) | −11492.7 | −0.0149996 | ||||||||
\(49\) | 772362. | − | 285798.i | 0.937852 | − | 0.347034i | ||||
\(50\) | −911728. | −1.03150 | ||||||||
\(51\) | −39314.1 | − | 68093.9i | −0.0415004 | − | 0.0718808i | ||||
\(52\) | −128209. | + | 222065.i | −0.126447 | + | 0.219012i | ||||
\(53\) | −918933. | + | 1.59164e6i | −0.847849 | + | 1.46852i | 0.0352758 | + | 0.999378i | \(0.488769\pi\) |
−0.883124 | + | 0.469139i | \(0.844564\pi\) | |||||||
\(54\) | 49002.7 | + | 84875.1i | 0.0423489 | + | 0.0733504i | ||||
\(55\) | 2.40216e6 | 1.94685 | ||||||||
\(56\) | 457360. | − | 81905.0i | 0.348017 | − | 0.0623235i | ||||
\(57\) | −66894.5 | −0.0478441 | ||||||||
\(58\) | −394885. | − | 683961.i | −0.265750 | − | 0.460292i | ||||
\(59\) | 7255.29 | − | 12566.5i | 0.00459910 | − | 0.00796587i | −0.863717 | − | 0.503978i | \(-0.831869\pi\) |
0.868316 | + | 0.496012i | \(0.165203\pi\) | |||||||
\(60\) | −39352.0 | + | 68159.7i | −0.0235200 | + | 0.0407379i | ||||
\(61\) | −1.01469e6 | − | 1.75749e6i | −0.572370 | − | 0.991374i | −0.996322 | − | 0.0856896i | \(-0.972691\pi\) |
0.423952 | − | 0.905685i | \(-0.360643\pi\) | |||||||
\(62\) | 379895. | 0.202438 | ||||||||
\(63\) | −1.27518e6 | − | 1.51148e6i | −0.642510 | − | 0.761574i | ||||
\(64\) | 262144. | 0.125000 | ||||||||
\(65\) | 877997. | + | 1.52074e6i | 0.396549 | + | 0.686842i | ||||
\(66\) | 61513.8 | − | 106545.i | 0.0263372 | − | 0.0456173i | ||||
\(67\) | 1.48449e6 | − | 2.57121e6i | 0.602997 | − | 1.04442i | −0.389368 | − | 0.921082i | \(-0.627306\pi\) |
0.992365 | − | 0.123339i | \(-0.0393602\pi\) | |||||||
\(68\) | 896736. | + | 1.55319e6i | 0.345846 | + | 0.599023i | ||||
\(69\) | 206944. | 0.0758369 | ||||||||
\(70\) | 1.08028e6 | − | 2.99290e6i | 0.376439 | − | 1.04292i | ||||
\(71\) | −4.34296e6 | −1.44006 | −0.720031 | − | 0.693942i | \(-0.755872\pi\) | ||||
−0.720031 | + | 0.693942i | \(0.755872\pi\) | |||||||
\(72\) | −557857. | − | 966236.i | −0.176140 | − | 0.305084i | ||||
\(73\) | −750529. | + | 1.29995e6i | −0.225807 | + | 0.391109i | −0.956561 | − | 0.291531i | \(-0.905835\pi\) |
0.730754 | + | 0.682641i | \(0.239169\pi\) | |||||||
\(74\) | −400250. | + | 693253.i | −0.114821 | + | 0.198875i | ||||
\(75\) | 159885. | + | 276929.i | 0.0437617 | + | 0.0757975i | ||||
\(76\) | 1.52583e6 | 0.398712 | ||||||||
\(77\) | −1.68867e6 | + | 4.67841e6i | −0.421528 | + | 1.16783i | ||||
\(78\) | 89933.9 | 0.0214581 | ||||||||
\(79\) | 886182. | + | 1.53491e6i | 0.202222 | + | 0.350259i | 0.949244 | − | 0.314541i | \(-0.101850\pi\) |
−0.747022 | + | 0.664799i | \(0.768517\pi\) | |||||||
\(80\) | 897601. | − | 1.55469e6i | 0.196006 | − | 0.339492i | ||||
\(81\) | −2.36569e6 | + | 4.09749e6i | −0.494607 | + | 0.856684i | ||||
\(82\) | 1.95649e6 | + | 3.38874e6i | 0.391859 | + | 0.678720i | ||||
\(83\) | −1.57509e6 | −0.302366 | −0.151183 | − | 0.988506i | \(-0.548308\pi\) | ||||
−0.151183 | + | 0.988506i | \(0.548308\pi\) | |||||||
\(84\) | −105083. | − | 124556.i | −0.0193444 | − | 0.0229291i | ||||
\(85\) | 1.22820e7 | 2.16921 | ||||||||
\(86\) | 1.19840e6 | + | 2.07569e6i | 0.203169 | + | 0.351899i | ||||
\(87\) | −138498. | + | 239886.i | −0.0225490 | + | 0.0390560i | ||||
\(88\) | −1.40310e6 | + | 2.43024e6i | −0.219483 | + | 0.380155i | ||||
\(89\) | −4.39727e6 | − | 7.61629e6i | −0.661177 | − | 1.14519i | −0.980307 | − | 0.197481i | \(-0.936724\pi\) |
0.319130 | − | 0.947711i | \(-0.396609\pi\) | |||||||
\(90\) | −7.64057e6 | −1.10478 | ||||||||
\(91\) | −3.57897e6 | + | 640929.i | −0.497867 | + | 0.0891590i | ||||
\(92\) | −4.72029e6 | −0.631992 | ||||||||
\(93\) | −66620.4 | − | 115390.i | −0.00858849 | − | 0.0148757i | ||||
\(94\) | 3.85096e6 | − | 6.67005e6i | 0.478213 | − | 0.828288i | ||||
\(95\) | 5.22457e6 | − | 9.04922e6i | 0.625199 | − | 1.08288i | ||||
\(96\) | −45970.9 | − | 79624.0i | −0.00530315 | − | 0.00918533i | ||||
\(97\) | −1.03493e7 | −1.15135 | −0.575676 | − | 0.817678i | \(-0.695261\pi\) | ||||
−0.575676 | + | 0.817678i | \(0.695261\pi\) | |||||||
\(98\) | 5.06951e6 | + | 4.20789e6i | 0.544095 | + | 0.451620i | ||||
\(99\) | 1.19435e7 | 1.23711 | ||||||||
\(100\) | −3.64691e6 | − | 6.31663e6i | −0.364691 | − | 0.631663i | ||||
\(101\) | 4.45048e6 | − | 7.70846e6i | 0.429815 | − | 0.744462i | −0.567041 | − | 0.823689i | \(-0.691912\pi\) |
0.996857 | + | 0.0792273i | \(0.0252453\pi\) | |||||||
\(102\) | 314512. | − | 544752.i | 0.0293452 | − | 0.0508274i | ||||
\(103\) | 5.21151e6 | + | 9.02660e6i | 0.469930 | + | 0.813943i | 0.999409 | − | 0.0343802i | \(-0.0109457\pi\) |
−0.529479 | + | 0.848323i | \(0.677612\pi\) | |||||||
\(104\) | −2.05135e6 | −0.178823 | ||||||||
\(105\) | −1.09851e6 | + | 196724.i | −0.0926068 | + | 0.0165842i | ||||
\(106\) | −1.47029e7 | −1.19904 | ||||||||
\(107\) | −1.95481e6 | − | 3.38582e6i | −0.154263 | − | 0.267191i | 0.778528 | − | 0.627610i | \(-0.215967\pi\) |
−0.932790 | + | 0.360420i | \(0.882633\pi\) | |||||||
\(108\) | −392021. | + | 679001.i | −0.0299452 | + | 0.0518665i | ||||
\(109\) | 9.24073e6 | − | 1.60054e7i | 0.683461 | − | 1.18379i | −0.290457 | − | 0.956888i | \(-0.593807\pi\) |
0.973918 | − | 0.226901i | \(-0.0728593\pi\) | |||||||
\(110\) | 9.60866e6 | + | 1.66427e7i | 0.688317 | + | 1.19220i | ||||
\(111\) | 280760. | 0.0194852 | ||||||||
\(112\) | 2.39690e6 | + | 2.84107e6i | 0.161208 | + | 0.191081i | ||||
\(113\) | 906133. | 0.0590769 | 0.0295384 | − | 0.999564i | \(-0.490596\pi\) | ||||
0.0295384 | + | 0.999564i | \(0.490596\pi\) | |||||||
\(114\) | −267578. | − | 463459.i | −0.0169155 | − | 0.0292984i | ||||
\(115\) | −1.61626e7 | + | 2.79945e7i | −0.990991 | + | 1.71645i | ||||
\(116\) | 3.15908e6 | − | 5.47169e6i | 0.187913 | − | 0.325476i | ||||
\(117\) | 4.36538e6 | + | 7.56107e6i | 0.251983 | + | 0.436448i | ||||
\(118\) | 116085. | 0.00650411 | ||||||||
\(119\) | −8.63395e6 | + | 2.39201e7i | −0.469672 | + | 1.30122i | ||||
\(120\) | −629632. | −0.0332623 | ||||||||
\(121\) | −5.27637e6 | − | 9.13894e6i | −0.270761 | − | 0.468972i | ||||
\(122\) | 8.11748e6 | − | 1.40599e7i | 0.404727 | − | 0.701008i | ||||
\(123\) | 686202. | − | 1.18854e6i | 0.0332494 | − | 0.0575896i | ||||
\(124\) | 1.51958e6 | + | 2.63199e6i | 0.0715727 | + | 0.123968i | ||||
\(125\) | −1.57084e7 | −0.719363 | ||||||||
\(126\) | 5.37115e6 | − | 1.48807e7i | 0.239205 | − | 0.662712i | ||||
\(127\) | −3.93401e6 | −0.170421 | −0.0852103 | − | 0.996363i | \(-0.527156\pi\) | ||||
−0.0852103 | + | 0.996363i | \(0.527156\pi\) | |||||||
\(128\) | 1.04858e6 | + | 1.81619e6i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 420316. | − | 728008.i | 0.0172390 | − | 0.0298588i | ||||
\(130\) | −7.02398e6 | + | 1.21659e7i | −0.280402 | + | 0.485671i | ||||
\(131\) | −1.22880e7 | − | 2.12834e7i | −0.477563 | − | 0.827164i | 0.522106 | − | 0.852881i | \(-0.325147\pi\) |
−0.999669 | + | 0.0257168i | \(0.991813\pi\) | |||||||
\(132\) | 984221. | 0.0372464 | ||||||||
\(133\) | 1.39514e7 | + | 1.65367e7i | 0.514204 | + | 0.609492i | ||||
\(134\) | 2.37518e7 | 0.852766 | ||||||||
\(135\) | 2.68462e6 | + | 4.64990e6i | 0.0939107 | + | 0.162658i | ||||
\(136\) | −7.17388e6 | + | 1.24255e7i | −0.244550 | + | 0.423574i | ||||
\(137\) | 1.07113e7 | − | 1.85525e7i | 0.355893 | − | 0.616424i | −0.631378 | − | 0.775476i | \(-0.717510\pi\) |
0.987270 | + | 0.159051i | \(0.0508435\pi\) | |||||||
\(138\) | 827775. | + | 1.43375e6i | 0.0268124 | + | 0.0464404i | ||||
\(139\) | 2.70116e6 | 0.0853096 | 0.0426548 | − | 0.999090i | \(-0.486418\pi\) | ||||
0.0426548 | + | 0.999090i | \(0.486418\pi\) | |||||||
\(140\) | 2.50566e7 | − | 4.48718e6i | 0.771745 | − | 0.138206i | ||||
\(141\) | −2.70129e6 | −0.0811531 | ||||||||
\(142\) | −1.73718e7 | − | 3.00889e7i | −0.509139 | − | 0.881854i | ||||
\(143\) | 1.09797e7 | − | 1.90173e7i | 0.313988 | − | 0.543843i | ||||
\(144\) | 4.46285e6 | − | 7.72989e6i | 0.124550 | − | 0.215727i | ||||
\(145\) | −2.16339e7 | − | 3.74710e7i | −0.589313 | − | 1.02072i | ||||
\(146\) | −1.20085e7 | −0.319339 | ||||||||
\(147\) | 389094. | − | 2.27774e6i | 0.0101029 | − | 0.0591416i | ||||
\(148\) | −6.40400e6 | −0.162381 | ||||||||
\(149\) | −4.07159e6 | − | 7.05220e6i | −0.100835 | − | 0.174652i | 0.811194 | − | 0.584777i | \(-0.198818\pi\) |
−0.912029 | + | 0.410126i | \(0.865485\pi\) | |||||||
\(150\) | −1.27908e6 | + | 2.21544e6i | −0.0309442 | + | 0.0535969i | ||||
\(151\) | −2.50810e7 | + | 4.34416e7i | −0.592824 | + | 1.02680i | 0.401026 | + | 0.916067i | \(0.368654\pi\) |
−0.993850 | + | 0.110734i | \(0.964680\pi\) | |||||||
\(152\) | 6.10333e6 | + | 1.05713e7i | 0.140966 | + | 0.244160i | ||||
\(153\) | 6.10657e7 | 1.37841 | ||||||||
\(154\) | −3.91677e7 | + | 7.01422e6i | −0.864182 | + | 0.154759i | ||||
\(155\) | 2.08126e7 | 0.448917 | ||||||||
\(156\) | 359735. | + | 623080.i | 0.00758660 | + | 0.0131404i | ||||
\(157\) | −1.21775e7 | + | 2.10921e7i | −0.251137 | + | 0.434981i | −0.963839 | − | 0.266485i | \(-0.914138\pi\) |
0.712702 | + | 0.701466i | \(0.247471\pi\) | |||||||
\(158\) | −7.08946e6 | + | 1.22793e7i | −0.142993 | + | 0.247670i | ||||
\(159\) | 2.57838e6 | + | 4.46589e6i | 0.0508695 | + | 0.0881085i | ||||
\(160\) | 1.43616e7 | 0.277194 | ||||||||
\(161\) | −4.31596e7 | − | 5.11576e7i | −0.815056 | − | 0.966094i | ||||
\(162\) | −3.78510e7 | −0.699480 | ||||||||
\(163\) | 4.62153e7 | + | 8.00472e7i | 0.835852 | + | 1.44774i | 0.893335 | + | 0.449391i | \(0.148359\pi\) |
−0.0574837 | + | 0.998346i | \(0.518308\pi\) | |||||||
\(164\) | −1.56519e7 | + | 2.71100e7i | −0.277086 | + | 0.479927i | ||||
\(165\) | 3.37005e6 | − | 5.83710e6i | 0.0584040 | − | 0.101159i | ||||
\(166\) | −6.30038e6 | − | 1.09126e7i | −0.106903 | − | 0.185161i | ||||
\(167\) | 7.35041e6 | 0.122125 | 0.0610624 | − | 0.998134i | \(-0.480551\pi\) | ||||
0.0610624 | + | 0.998134i | \(0.480551\pi\) | |||||||
\(168\) | 442617. | − | 1.22626e6i | 0.00720188 | − | 0.0199526i | ||||
\(169\) | −4.66961e7 | −0.744179 | ||||||||
\(170\) | 4.91279e7 | + | 8.50920e7i | 0.766932 | + | 1.32836i | ||||
\(171\) | 2.59765e7 | − | 4.49925e7i | 0.397277 | − | 0.688104i | ||||
\(172\) | −9.58721e6 | + | 1.66055e7i | −0.143662 | + | 0.248830i | ||||
\(173\) | 6.28549e7 | + | 1.08868e8i | 0.922950 | + | 1.59860i | 0.794826 | + | 0.606837i | \(0.207562\pi\) |
0.128123 | + | 0.991758i | \(0.459105\pi\) | |||||||
\(174\) | −2.21597e6 | −0.0318891 | ||||||||
\(175\) | 3.51132e7 | − | 9.72802e7i | 0.495264 | − | 1.37212i | ||||
\(176\) | −2.24496e7 | −0.310395 | ||||||||
\(177\) | −20357.2 | − | 35259.7i | −0.000275938 | − | 0.000477939i | ||||
\(178\) | 3.51781e7 | − | 6.09303e7i | 0.467523 | − | 0.809773i | ||||
\(179\) | −3.90512e7 | + | 6.76386e7i | −0.508919 | + | 0.881473i | 0.491028 | + | 0.871144i | \(0.336621\pi\) |
−0.999947 | + | 0.0103294i | \(0.996712\pi\) | |||||||
\(180\) | −3.05623e7 | − | 5.29355e7i | −0.390600 | − | 0.676539i | ||||
\(181\) | 2.22134e7 | 0.278445 | 0.139223 | − | 0.990261i | \(-0.455540\pi\) | ||||
0.139223 | + | 0.990261i | \(0.455540\pi\) | |||||||
\(182\) | −1.87564e7 | − | 2.22321e7i | −0.230621 | − | 0.273358i | ||||
\(183\) | −5.69410e6 | −0.0686825 | ||||||||
\(184\) | −1.88812e7 | − | 3.27031e7i | −0.223443 | − | 0.387014i | ||||
\(185\) | −2.19278e7 | + | 3.79800e7i | −0.254621 | + | 0.441016i | ||||
\(186\) | 532963. | − | 923119.i | 0.00607298 | − | 0.0105187i | ||||
\(187\) | −7.67951e7 | − | 1.33013e8i | −0.858792 | − | 1.48747i | ||||
\(188\) | 6.16153e7 | 0.676295 | ||||||||
\(189\) | −1.09433e7 | + | 1.95975e6i | −0.117905 | + | 0.0211146i | ||||
\(190\) | 8.35931e7 | 0.884164 | ||||||||
\(191\) | −9.17563e7 | − | 1.58927e8i | −0.952838 | − | 1.65036i | −0.739240 | − | 0.673442i | \(-0.764815\pi\) |
−0.213597 | − | 0.976922i | \(-0.568518\pi\) | |||||||
\(192\) | 367768. | − | 636992.i | 0.00374989 | − | 0.00649501i | ||||
\(193\) | −2.48516e7 | + | 4.30442e7i | −0.248830 | + | 0.430987i | −0.963202 | − | 0.268780i | \(-0.913379\pi\) |
0.714371 | + | 0.699767i | \(0.246713\pi\) | |||||||
\(194\) | −4.13970e7 | − | 7.17017e7i | −0.407064 | − | 0.705056i | ||||
\(195\) | 4.92705e6 | 0.0475845 | ||||||||
\(196\) | −8.87506e6 | + | 5.19542e7i | −0.0841928 | + | 0.492861i | ||||
\(197\) | 2.65068e7 | 0.247016 | 0.123508 | − | 0.992344i | \(-0.460585\pi\) | ||||
0.123508 | + | 0.992344i | \(0.460585\pi\) | |||||||
\(198\) | 4.77740e7 | + | 8.27471e7i | 0.437385 | + | 0.757573i | ||||
\(199\) | 2.64675e7 | − | 4.58430e7i | 0.238082 | − | 0.412370i | −0.722082 | − | 0.691808i | \(-0.756815\pi\) |
0.960164 | + | 0.279438i | \(0.0901480\pi\) | |||||||
\(200\) | 2.91753e7 | − | 5.05331e7i | 0.257875 | − | 0.446653i | ||||
\(201\) | −4.16524e6 | − | 7.21441e6i | −0.0361788 | − | 0.0626635i | ||||
\(202\) | 7.12077e7 | 0.607851 | ||||||||
\(203\) | 8.81859e7 | − | 1.57925e7i | 0.739883 | − | 0.132500i | ||||
\(204\) | 5.03220e6 | 0.0415004 | ||||||||
\(205\) | 1.07187e8 | + | 1.85653e8i | 0.868967 | + | 1.50509i | ||||
\(206\) | −4.16921e7 | + | 7.22128e7i | −0.332291 | + | 0.575545i | ||||
\(207\) | −8.03603e7 | + | 1.39188e8i | −0.629717 | + | 1.09070i | ||||
\(208\) | −8.20540e6 | − | 1.42122e7i | −0.0632234 | − | 0.109506i | ||||
\(209\) | −1.30670e8 | −0.990067 | ||||||||
\(210\) | −5.75700e6 | − | 6.82383e6i | −0.0428972 | − | 0.0508464i | ||||
\(211\) | −1.03691e8 | −0.759892 | −0.379946 | − | 0.925009i | \(-0.624057\pi\) | ||||
−0.379946 | + | 0.925009i | \(0.624057\pi\) | |||||||
\(212\) | −5.88117e7 | − | 1.01865e8i | −0.423924 | − | 0.734258i | ||||
\(213\) | −6.09283e6 | + | 1.05531e7i | −0.0432006 | + | 0.0748257i | ||||
\(214\) | 1.56384e7 | − | 2.70866e7i | 0.109080 | − | 0.188932i | ||||
\(215\) | 6.56547e7 | + | 1.13717e8i | 0.450538 | + | 0.780354i | ||||
\(216\) | −6.27234e6 | −0.0423489 | ||||||||
\(217\) | −1.46308e7 | + | 4.05343e7i | −0.0971984 | + | 0.269286i | ||||
\(218\) | 1.47852e8 | 0.966559 | ||||||||
\(219\) | 2.10587e6 | + | 3.64747e6i | 0.0135480 | + | 0.0234659i | ||||
\(220\) | −7.68693e7 | + | 1.33141e8i | −0.486713 | + | 0.843013i | ||||
\(221\) | 5.61376e7 | − | 9.72333e7i | 0.349850 | − | 0.605957i | ||||
\(222\) | 1.12304e6 | + | 1.94516e6i | 0.00688905 | + | 0.0119322i | ||||
\(223\) | 2.45465e8 | 1.48225 | 0.741126 | − | 0.671366i | \(-0.234292\pi\) | ||||
0.741126 | + | 0.671366i | \(0.234292\pi\) | |||||||
\(224\) | −1.00959e7 | + | 2.79704e7i | −0.0600173 | + | 0.166277i | ||||
\(225\) | −2.48346e8 | −1.45351 | ||||||||
\(226\) | 3.62453e6 | + | 6.27787e6i | 0.0208868 | + | 0.0361770i | ||||
\(227\) | −2.11146e7 | + | 3.65716e7i | −0.119810 | + | 0.207517i | −0.919692 | − | 0.392640i | \(-0.871562\pi\) |
0.799882 | + | 0.600157i | \(0.204895\pi\) | |||||||
\(228\) | 2.14063e6 | − | 3.70767e6i | 0.0119610 | − | 0.0207171i | ||||
\(229\) | 9.47285e7 | + | 1.64075e8i | 0.521263 | + | 0.902853i | 0.999694 | + | 0.0247286i | \(0.00787216\pi\) |
−0.478432 | + | 0.878125i | \(0.658795\pi\) | |||||||
\(230\) | −2.58602e8 | −1.40147 | ||||||||
\(231\) | 8.99916e6 | + | 1.06668e7i | 0.0480352 | + | 0.0569367i | ||||
\(232\) | 5.05453e7 | 0.265750 | ||||||||
\(233\) | −1.51963e8 | − | 2.63207e8i | −0.787031 | − | 1.36318i | −0.927778 | − | 0.373131i | \(-0.878284\pi\) |
0.140748 | − | 0.990045i | \(-0.455049\pi\) | |||||||
\(234\) | −3.49231e7 | + | 6.04885e7i | −0.178179 | + | 0.308615i | ||||
\(235\) | 2.10975e8 | − | 3.65420e8i | 1.06046 | − | 1.83677i | ||||
\(236\) | 464339. | + | 804258.i | 0.00229955 | + | 0.00398294i | ||||
\(237\) | 4.97298e6 | 0.0242660 | ||||||||
\(238\) | −2.00259e8 | + | 3.58628e7i | −0.962883 | + | 0.172435i | ||||
\(239\) | −6.75930e7 | −0.320265 | −0.160132 | − | 0.987096i | \(-0.551192\pi\) | ||||
−0.160132 | + | 0.987096i | \(0.551192\pi\) | |||||||
\(240\) | −2.51853e6 | − | 4.36222e6i | −0.0117600 | − | 0.0203689i | ||||
\(241\) | 1.22094e8 | − | 2.11473e8i | 0.561868 | − | 0.973183i | −0.435466 | − | 0.900205i | \(-0.643416\pi\) |
0.997334 | − | 0.0729780i | \(-0.0232503\pi\) | |||||||
\(242\) | 4.22110e7 | − | 7.31116e7i | 0.191457 | − | 0.331614i | ||||
\(243\) | 2.00339e7 | + | 3.46997e7i | 0.0895659 | + | 0.155133i | ||||
\(244\) | 1.29880e8 | 0.572370 | ||||||||
\(245\) | 2.77734e8 | + | 2.30530e8i | 1.20656 | + | 1.00149i | ||||
\(246\) | 1.09792e7 | 0.0470217 | ||||||||
\(247\) | −4.77603e7 | − | 8.27233e7i | −0.201664 | − | 0.349292i | ||||
\(248\) | −1.21566e7 | + | 2.10559e7i | −0.0506096 | + | 0.0876583i | ||||
\(249\) | −2.20973e6 | + | 3.82737e6i | −0.00907073 | + | 0.0157110i | ||||
\(250\) | −6.28337e7 | − | 1.08831e8i | −0.254333 | − | 0.440518i | ||||
\(251\) | −2.63151e8 | −1.05038 | −0.525190 | − | 0.850985i | \(-0.676006\pi\) | ||||
−0.525190 | + | 0.850985i | \(0.676006\pi\) | |||||||
\(252\) | 1.24581e8 | − | 2.23102e7i | 0.490399 | − | 0.0878215i | ||||
\(253\) | 4.04239e8 | 1.56934 | ||||||||
\(254\) | −1.57360e7 | − | 2.72556e7i | −0.0602528 | − | 0.104361i | ||||
\(255\) | 1.72306e7 | − | 2.98443e7i | 0.0650745 | − | 0.112712i | ||||
\(256\) | −8.38861e6 | + | 1.45295e7i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 1.28609e8 | + | 2.22757e8i | 0.472611 | + | 0.818587i | 0.999509 | − | 0.0313421i | \(-0.00997814\pi\) |
−0.526897 | + | 0.849929i | \(0.676645\pi\) | |||||||
\(258\) | 6.72505e6 | 0.0243796 | ||||||||
\(259\) | −5.85545e7 | − | 6.94053e7i | −0.209417 | − | 0.248224i | ||||
\(260\) | −1.12384e8 | −0.396549 | ||||||||
\(261\) | −1.07563e8 | − | 1.86305e8i | −0.374474 | − | 0.648608i | ||||
\(262\) | 9.83038e7 | − | 1.70267e8i | 0.337688 | − | 0.584893i | ||||
\(263\) | −1.03651e8 | + | 1.79529e8i | −0.351342 | + | 0.608541i | −0.986485 | − | 0.163853i | \(-0.947608\pi\) |
0.635143 | + | 0.772394i | \(0.280941\pi\) | |||||||
\(264\) | 3.93689e6 | + | 6.81889e6i | 0.0131686 | + | 0.0228087i | ||||
\(265\) | −8.05503e8 | −2.65893 | ||||||||
\(266\) | −5.87641e7 | + | 1.62805e8i | −0.191437 | + | 0.530372i | ||||
\(267\) | −2.46761e7 | −0.0793390 | ||||||||
\(268\) | 9.50073e7 | + | 1.64557e8i | 0.301498 | + | 0.522211i | ||||
\(269\) | 1.38213e8 | − | 2.39392e8i | 0.432929 | − | 0.749854i | −0.564195 | − | 0.825641i | \(-0.690814\pi\) |
0.997124 | + | 0.0757870i | \(0.0241469\pi\) | |||||||
\(270\) | −2.14770e7 | + | 3.71992e7i | −0.0664049 | + | 0.115017i | ||||
\(271\) | 7.53645e6 | + | 1.30535e7i | 0.0230025 | + | 0.0398414i | 0.877297 | − | 0.479947i | \(-0.159344\pi\) |
−0.854295 | + | 0.519788i | \(0.826011\pi\) | |||||||
\(272\) | −1.14782e8 | −0.345846 | ||||||||
\(273\) | −3.46360e6 | + | 9.59583e6i | −0.0103029 | + | 0.0285439i | ||||
\(274\) | 1.71380e8 | 0.503308 | ||||||||
\(275\) | 3.12316e8 | + | 5.40947e8i | 0.905587 | + | 1.56852i | ||||
\(276\) | −6.62220e6 | + | 1.14700e7i | −0.0189592 | + | 0.0328383i | ||||
\(277\) | −7.72341e7 | + | 1.33773e8i | −0.218338 | + | 0.378173i | −0.954300 | − | 0.298850i | \(-0.903397\pi\) |
0.735962 | + | 0.677023i | \(0.236730\pi\) | |||||||
\(278\) | 1.08046e7 | + | 1.87142e7i | 0.0301615 | + | 0.0522412i | ||||
\(279\) | 1.03480e8 | 0.285260 | ||||||||
\(280\) | 1.31314e8 | + | 1.55648e8i | 0.357486 | + | 0.423732i | ||||
\(281\) | 2.33653e8 | 0.628203 | 0.314102 | − | 0.949389i | \(-0.398297\pi\) | ||||
0.314102 | + | 0.949389i | \(0.398297\pi\) | |||||||
\(282\) | −1.08052e7 | − | 1.87151e7i | −0.0286919 | − | 0.0496959i | ||||
\(283\) | −3.00200e8 | + | 5.19961e8i | −0.787331 | + | 1.36370i | 0.140265 | + | 0.990114i | \(0.455205\pi\) |
−0.927596 | + | 0.373584i | \(0.878129\pi\) | |||||||
\(284\) | 1.38975e8 | − | 2.40711e8i | 0.360015 | − | 0.623565i | ||||
\(285\) | −1.46593e7 | − | 2.53907e7i | −0.0375109 | − | 0.0649707i | ||||
\(286\) | 1.75675e8 | 0.444046 | ||||||||
\(287\) | −4.36925e8 | + | 7.82453e7i | −1.09099 | + | 0.195376i | ||||
\(288\) | 7.14056e7 | 0.176140 | ||||||||
\(289\) | −1.87475e8 | − | 3.24715e8i | −0.456878 | − | 0.791335i | ||||
\(290\) | 1.73071e8 | − | 2.99768e8i | 0.416707 | − | 0.721758i | ||||
\(291\) | −1.45192e7 | + | 2.51480e7i | −0.0345396 | + | 0.0598243i | ||||
\(292\) | −4.80339e7 | − | 8.31971e7i | −0.112904 | − | 0.195555i | ||||
\(293\) | 1.34114e8 | 0.311484 | 0.155742 | − | 0.987798i | \(-0.450223\pi\) | ||||
0.155742 | + | 0.987798i | \(0.450223\pi\) | |||||||
\(294\) | 1.73370e7 | − | 6.41523e6i | 0.0397886 | − | 0.0147230i | ||||
\(295\) | 6.35973e6 | 0.0144232 | ||||||||
\(296\) | −2.56160e7 | − | 4.43682e7i | −0.0574104 | − | 0.0994377i | ||||
\(297\) | 3.35722e7 | − | 5.81487e7i | 0.0743587 | − | 0.128793i | ||||
\(298\) | 3.25727e7 | − | 5.64176e7i | 0.0713012 | − | 0.123497i | ||||
\(299\) | 1.47750e8 | + | 2.55911e8i | 0.319653 | + | 0.553656i | ||||
\(300\) | −2.04653e7 | −0.0437617 | ||||||||
\(301\) | −2.67627e8 | + | 4.79272e7i | −0.565650 | + | 0.101298i | ||||
\(302\) | −4.01296e8 | −0.838380 | ||||||||
\(303\) | −1.24873e7 | − | 2.16287e7i | −0.0257882 | − | 0.0446665i | ||||
\(304\) | −4.88267e7 | + | 8.45703e7i | −0.0996781 | + | 0.172647i | ||||
\(305\) | 4.44718e8 | − | 7.70275e8i | 0.897502 | − | 1.55452i | ||||
\(306\) | 2.44263e8 | + | 4.23075e8i | 0.487340 | + | 0.844098i | ||||
\(307\) | 4.28333e8 | 0.844884 | 0.422442 | − | 0.906390i | \(-0.361173\pi\) | ||||
0.422442 | + | 0.906390i | \(0.361173\pi\) | |||||||
\(308\) | −2.05267e8 | − | 2.43305e8i | −0.400305 | − | 0.474486i | ||||
\(309\) | 2.92454e7 | 0.0563901 | ||||||||
\(310\) | 8.32505e7 | + | 1.44194e8i | 0.158716 | + | 0.274904i | ||||
\(311\) | 2.10065e8 | − | 3.63842e8i | 0.395996 | − | 0.685886i | −0.597231 | − | 0.802069i | \(-0.703733\pi\) |
0.993228 | + | 0.116183i | \(0.0370659\pi\) | |||||||
\(312\) | −2.87788e6 | + | 4.98464e6i | −0.00536454 | + | 0.00929165i | ||||
\(313\) | −5.08856e8 | − | 8.81365e8i | −0.937972 | − | 1.62461i | −0.769247 | − | 0.638952i | \(-0.779368\pi\) |
−0.168725 | − | 0.985663i | \(-0.553965\pi\) | |||||||
\(314\) | −1.94840e8 | −0.355161 | ||||||||
\(315\) | 2.94260e8 | − | 8.15240e8i | 0.530449 | − | 1.46960i | ||||
\(316\) | −1.13431e8 | −0.202222 | ||||||||
\(317\) | 1.00954e8 | + | 1.74857e8i | 0.177998 | + | 0.308302i | 0.941195 | − | 0.337864i | \(-0.109705\pi\) |
−0.763197 | + | 0.646166i | \(0.776371\pi\) | |||||||
\(318\) | −2.06271e7 | + | 3.57271e7i | −0.0359702 | + | 0.0623021i | ||||
\(319\) | −2.70539e8 | + | 4.68587e8i | −0.466619 | + | 0.808208i | ||||
\(320\) | 5.74465e7 | + | 9.95002e7i | 0.0980028 | + | 0.169746i | ||||
\(321\) | −1.09698e7 | −0.0185110 | ||||||||
\(322\) | 1.81792e8 | − | 5.03649e8i | 0.303444 | − | 0.840684i | ||||
\(323\) | −6.68100e8 | −1.10315 | ||||||||
\(324\) | −1.51404e8 | − | 2.62240e8i | −0.247303 | − | 0.428342i | ||||
\(325\) | −2.28305e8 | + | 3.95435e8i | −0.368912 | + | 0.638975i | ||||
\(326\) | −3.69722e8 | + | 6.40378e8i | −0.591036 | + | 1.02370i | ||||
\(327\) | −2.59280e7 | − | 4.49087e7i | −0.0410065 | − | 0.0710253i | ||||
\(328\) | −2.50431e8 | −0.391859 | ||||||||
\(329\) | 5.63375e8 | + | 6.67774e8i | 0.872192 | + | 1.03382i | ||||
\(330\) | 5.39208e7 | 0.0825957 | ||||||||
\(331\) | 3.40869e8 | + | 5.90403e8i | 0.516642 | + | 0.894850i | 0.999813 | + | 0.0193244i | \(0.00615153\pi\) |
−0.483171 | + | 0.875526i | \(0.660515\pi\) | |||||||
\(332\) | 5.04030e7 | − | 8.73006e7i | 0.0755916 | − | 0.130928i | ||||
\(333\) | −1.09024e8 | + | 1.88836e8i | −0.161796 | + | 0.280240i | ||||
\(334\) | 2.94016e7 | + | 5.09251e7i | 0.0431776 | + | 0.0747858i | ||||
\(335\) | 1.30125e9 | 1.89105 | ||||||||
\(336\) | 1.02663e7 | − | 1.83850e6i | 0.0147647 | − | 0.00264409i | ||||
\(337\) | 6.40766e8 | 0.912000 | 0.456000 | − | 0.889980i | \(-0.349282\pi\) | ||||
0.456000 | + | 0.889980i | \(0.349282\pi\) | |||||||
\(338\) | −1.86785e8 | − | 3.23520e8i | −0.263107 | − | 0.455715i | ||||
\(339\) | 1.27123e6 | − | 2.20184e6i | 0.00177226 | − | 0.00306964i | ||||
\(340\) | −3.93023e8 | + | 6.80736e8i | −0.542303 | + | 0.939296i | ||||
\(341\) | −1.30135e8 | − | 2.25400e8i | −0.177727 | − | 0.307832i | ||||
\(342\) | 4.15623e8 | 0.561835 | ||||||||
\(343\) | −6.44217e8 | + | 3.78853e8i | −0.861992 | + | 0.506922i | ||||
\(344\) | −1.53395e8 | −0.203169 | ||||||||
\(345\) | 4.53498e7 | + | 7.85482e7i | 0.0594578 | + | 0.102984i | ||||
\(346\) | −5.02839e8 | + | 8.70943e8i | −0.652624 | + | 1.13038i | ||||
\(347\) | −4.05232e8 | + | 7.01883e8i | −0.520656 | + | 0.901802i | 0.479056 | + | 0.877785i | \(0.340979\pi\) |
−0.999712 | + | 0.0240179i | \(0.992354\pi\) | |||||||
\(348\) | −8.86388e6 | − | 1.53527e7i | −0.0112745 | − | 0.0195280i | ||||
\(349\) | 3.65334e8 | 0.460046 | 0.230023 | − | 0.973185i | \(-0.426120\pi\) | ||||
0.230023 | + | 0.973185i | \(0.426120\pi\) | |||||||
\(350\) | 8.14430e8 | − | 1.45850e8i | 1.01535 | − | 0.181831i | ||||
\(351\) | 4.90828e7 | 0.0605836 | ||||||||
\(352\) | −8.97985e7 | − | 1.55536e8i | −0.109741 | − | 0.190077i | ||||
\(353\) | −1.83219e8 | + | 3.17344e8i | −0.221696 | + | 0.383989i | −0.955323 | − | 0.295563i | \(-0.904493\pi\) |
0.733627 | + | 0.679553i | \(0.237826\pi\) | |||||||
\(354\) | 162858. | − | 282078.i | 0.000195118 | − | 0.000337954i | ||||
\(355\) | −9.51719e8 | − | 1.64843e9i | −1.12904 | − | 1.95556i | ||||
\(356\) | 5.62850e8 | 0.661177 | ||||||||
\(357\) | 4.60116e7 | + | 5.45380e7i | 0.0535215 | + | 0.0634396i | ||||
\(358\) | −6.24819e8 | −0.719720 | ||||||||
\(359\) | −1.98637e8 | − | 3.44049e8i | −0.226584 | − | 0.392455i | 0.730210 | − | 0.683223i | \(-0.239422\pi\) |
−0.956793 | + | 0.290768i | \(0.906089\pi\) | |||||||
\(360\) | 2.44498e8 | − | 4.23484e8i | 0.276196 | − | 0.478385i | ||||
\(361\) | 1.62736e8 | − | 2.81866e8i | 0.182057 | − | 0.315332i | ||||
\(362\) | 8.88536e7 | + | 1.53899e8i | 0.0984453 | + | 0.170512i | ||||
\(363\) | −2.96093e7 | −0.0324904 | ||||||||
\(364\) | 7.90032e7 | − | 2.18876e8i | 0.0858598 | − | 0.237873i | ||||
\(365\) | −6.57886e8 | −0.708151 | ||||||||
\(366\) | −2.27764e7 | − | 3.94499e7i | −0.0242829 | − | 0.0420593i | ||||
\(367\) | −5.29869e8 | + | 9.17760e8i | −0.559548 | + | 0.969166i | 0.437986 | + | 0.898982i | \(0.355692\pi\) |
−0.997534 | + | 0.0701840i | \(0.977641\pi\) | |||||||
\(368\) | 1.51049e8 | − | 2.61625e8i | 0.157998 | − | 0.273660i | ||||
\(369\) | 5.32931e8 | + | 9.23063e8i | 0.552177 | + | 0.956399i | ||||
\(370\) | −3.50845e8 | −0.360088 | ||||||||
\(371\) | 5.66251e8 | − | 1.56878e9i | 0.575705 | − | 1.59498i | ||||
\(372\) | 8.52741e6 | 0.00858849 | ||||||||
\(373\) | 3.00696e7 | + | 5.20822e7i | 0.0300018 | + | 0.0519647i | 0.880636 | − | 0.473793i | \(-0.157115\pi\) |
−0.850635 | + | 0.525757i | \(0.823782\pi\) | |||||||
\(374\) | 6.14361e8 | − | 1.06410e9i | 0.607258 | − | 1.05180i | ||||
\(375\) | −2.20377e7 | + | 3.81704e7i | −0.0215803 | + | 0.0373781i | ||||
\(376\) | 2.46461e8 | + | 4.26883e8i | 0.239106 | + | 0.414144i | ||||
\(377\) | −3.95531e8 | −0.380177 | ||||||||
\(378\) | −5.73507e7 | − | 6.79784e7i | −0.0546157 | − | 0.0647366i | ||||
\(379\) | 7.43622e8 | 0.701641 | 0.350821 | − | 0.936443i | \(-0.385903\pi\) | ||||
0.350821 | + | 0.936443i | \(0.385903\pi\) | |||||||
\(380\) | 3.34373e8 | + | 5.79150e8i | 0.312599 | + | 0.541438i | ||||
\(381\) | −5.51910e6 | + | 9.55937e6i | −0.00511247 | + | 0.00885506i | ||||
\(382\) | 7.34050e8 | − | 1.27141e9i | 0.673758 | − | 1.16698i | ||||
\(383\) | −9.01703e8 | − | 1.56180e9i | −0.820102 | − | 1.42046i | −0.905606 | − | 0.424120i | \(-0.860583\pi\) |
0.0855038 | − | 0.996338i | \(-0.472750\pi\) | |||||||
\(384\) | 5.88428e6 | 0.00530315 | ||||||||
\(385\) | −2.14581e9 | + | 3.84276e8i | −1.91637 | + | 0.343187i | ||||
\(386\) | −3.97625e8 | −0.351899 | ||||||||
\(387\) | 3.26433e8 | + | 5.65399e8i | 0.286290 | + | 0.495869i | ||||
\(388\) | 3.31176e8 | − | 5.73614e8i | 0.287838 | − | 0.498550i | ||||
\(389\) | 3.44292e8 | − | 5.96331e8i | 0.296554 | − | 0.513646i | −0.678791 | − | 0.734331i | \(-0.737496\pi\) |
0.975345 | + | 0.220685i | \(0.0708293\pi\) | |||||||
\(390\) | 1.97082e7 | + | 3.41356e7i | 0.0168237 | + | 0.0291394i | ||||
\(391\) | 2.06682e9 | 1.74858 | ||||||||
\(392\) | −3.95449e8 | + | 1.46328e8i | −0.331581 | + | 0.122695i | ||||
\(393\) | −6.89563e7 | −0.0573060 | ||||||||
\(394\) | 1.06027e8 | + | 1.83645e8i | 0.0873335 | + | 0.151266i | ||||
\(395\) | −3.88398e8 | + | 6.72724e8i | −0.317093 | + | 0.549221i | ||||
\(396\) | −3.82192e8 | + | 6.61976e8i | −0.309278 | + | 0.535685i | ||||
\(397\) | 7.06564e8 | + | 1.22380e9i | 0.566741 | + | 0.981624i | 0.996885 | + | 0.0788641i | \(0.0251293\pi\) |
−0.430144 | + | 0.902760i | \(0.641537\pi\) | |||||||
\(398\) | 4.23479e8 | 0.336699 | ||||||||
\(399\) | 5.97557e7 | − | 1.07012e7i | 0.0470949 | − | 0.00843385i | ||||
\(400\) | 4.66805e8 | 0.364691 | ||||||||
\(401\) | 1.12026e8 | + | 1.94035e8i | 0.0867590 | + | 0.150271i | 0.906139 | − | 0.422979i | \(-0.139016\pi\) |
−0.819380 | + | 0.573250i | \(0.805682\pi\) | |||||||
\(402\) | 3.33219e7 | − | 5.77153e7i | 0.0255823 | − | 0.0443098i | ||||
\(403\) | 9.51291e7 | − | 1.64768e8i | 0.0724012 | − | 0.125403i | ||||
\(404\) | 2.84831e8 | + | 4.93341e8i | 0.214908 | + | 0.372231i | ||||
\(405\) | −2.07368e9 | −1.55113 | ||||||||
\(406\) | 4.62157e8 | + | 5.47800e8i | 0.342727 | + | 0.406238i | ||||
\(407\) | 5.48429e8 | 0.403218 | ||||||||
\(408\) | 2.01288e7 | + | 3.48641e7i | 0.0146726 | + | 0.0254137i | ||||
\(409\) | −1.71435e8 | + | 2.96934e8i | −0.123899 | + | 0.214599i | −0.921302 | − | 0.388848i | \(-0.872873\pi\) |
0.797403 | + | 0.603447i | \(0.206207\pi\) | |||||||
\(410\) | −8.57495e8 | + | 1.48523e9i | −0.614452 | + | 1.06426i | ||||
\(411\) | −3.00542e7 | − | 5.20553e7i | −0.0213530 | − | 0.0369844i | ||||
\(412\) | −6.67074e8 | −0.469930 | ||||||||
\(413\) | −4.47074e6 | + | 1.23861e7i | −0.00312287 | + | 0.00865185i | ||||
\(414\) | −1.28576e9 | −0.890554 | ||||||||
\(415\) | −3.45168e8 | − | 5.97848e8i | −0.237062 | − | 0.410603i | ||||
\(416\) | 6.56432e7 | − | 1.13697e8i | 0.0447057 | − | 0.0774326i | ||||
\(417\) | 3.78951e6 | − | 6.56362e6i | 0.00255922 | − | 0.00443269i | ||||
\(418\) | −5.22681e8 | − | 9.05310e8i | −0.350042 | − | 0.606290i | ||||
\(419\) | −2.04851e9 | −1.36047 | −0.680234 | − | 0.732995i | \(-0.738122\pi\) | ||||
−0.680234 | + | 0.732995i | \(0.738122\pi\) | |||||||
\(420\) | 2.42489e7 | − | 6.71810e7i | 0.0159705 | − | 0.0442460i | ||||
\(421\) | 1.83448e9 | 1.19819 | 0.599096 | − | 0.800677i | \(-0.295527\pi\) | ||||
0.599096 | + | 0.800677i | \(0.295527\pi\) | |||||||
\(422\) | −4.14763e8 | − | 7.18391e8i | −0.268662 | − | 0.465337i | ||||
\(423\) | 1.04897e9 | − | 1.81686e9i | 0.673860 | − | 1.16716i | ||||
\(424\) | 4.70494e8 | − | 8.14919e8i | 0.299760 | − | 0.519199i | ||||
\(425\) | 1.59683e9 | + | 2.76580e9i | 1.00902 | + | 1.74767i | ||||
\(426\) | −9.74852e7 | −0.0610949 | ||||||||
\(427\) | 1.18755e9 | + | 1.40761e9i | 0.738164 | + | 0.874954i | ||||
\(428\) | 2.50215e8 | 0.154263 | ||||||||
\(429\) | −3.08072e7 | − | 5.33597e7i | −0.0188388 | − | 0.0326297i | ||||
\(430\) | −5.25237e8 | + | 9.09738e8i | −0.318578 | + | 0.551794i | ||||
\(431\) | −1.05668e9 | + | 1.83023e9i | −0.635732 | + | 1.10112i | 0.350627 | + | 0.936515i | \(0.385968\pi\) |
−0.986359 | + | 0.164605i | \(0.947365\pi\) | |||||||
\(432\) | −2.50894e7 | − | 4.34561e7i | −0.0149726 | − | 0.0259333i | ||||
\(433\) | −8.48688e8 | −0.502389 | −0.251195 | − | 0.967937i | \(-0.580823\pi\) | ||||
−0.251195 | + | 0.967937i | \(0.580823\pi\) | |||||||
\(434\) | −3.39353e8 | + | 6.07720e7i | −0.199268 | + | 0.0356853i | ||||
\(435\) | −1.21402e8 | −0.0707156 | ||||||||
\(436\) | 5.91407e8 | + | 1.02435e9i | 0.341730 | + | 0.591894i | ||||
\(437\) | 8.79197e8 | − | 1.52281e9i | 0.503966 | − | 0.872894i | ||||
\(438\) | −1.68469e7 | + | 2.91797e7i | −0.00957991 | + | 0.0165929i | ||||
\(439\) | −9.68945e8 | − | 1.67826e9i | −0.546605 | − | 0.946747i | −0.998504 | − | 0.0546781i | \(-0.982587\pi\) |
0.451899 | − | 0.892069i | \(-0.350747\pi\) | |||||||
\(440\) | −1.22991e9 | −0.688317 | ||||||||
\(441\) | 1.38089e9 | + | 1.14619e9i | 0.766697 | + | 0.636388i | ||||
\(442\) | 8.98202e8 | 0.494762 | ||||||||
\(443\) | −1.56059e8 | − | 2.70302e8i | −0.0852855 | − | 0.147719i | 0.820227 | − | 0.572038i | \(-0.193847\pi\) |
−0.905513 | + | 0.424319i | \(0.860514\pi\) | |||||||
\(444\) | −8.98431e6 | + | 1.55613e7i | −0.00487129 | + | 0.00843733i | ||||
\(445\) | 1.92724e9 | − | 3.33808e9i | 1.03675 | − | 1.79571i | ||||
\(446\) | 9.81859e8 | + | 1.70063e9i | 0.524055 | + | 0.907691i | ||||
\(447\) | −2.28485e7 | −0.0120999 | ||||||||
\(448\) | −2.34168e8 | + | 4.19353e7i | −0.123043 | + | 0.0220347i | ||||
\(449\) | −2.16559e8 | −0.112905 | −0.0564525 | − | 0.998405i | \(-0.517979\pi\) | ||||
−0.0564525 | + | 0.998405i | \(0.517979\pi\) | |||||||
\(450\) | −9.93385e8 | − | 1.72059e9i | −0.513894 | − | 0.890091i | ||||
\(451\) | 1.34041e9 | − | 2.32166e9i | 0.688049 | − | 1.19174i | ||||
\(452\) | −2.89963e7 | + | 5.02230e7i | −0.0147692 | + | 0.0255810i | ||||
\(453\) | 7.03734e7 | + | 1.21890e8i | 0.0355684 | + | 0.0616063i | ||||
\(454\) | −3.37834e8 | −0.169437 | ||||||||
\(455\) | −1.02757e9 | − | 1.21799e9i | −0.511414 | − | 0.606184i | ||||
\(456\) | 3.42500e7 | 0.0169155 | ||||||||
\(457\) | −4.57054e7 | − | 7.91641e7i | −0.0224007 | − | 0.0387991i | 0.854608 | − | 0.519274i | \(-0.173798\pi\) |
−0.877008 | + | 0.480475i | \(0.840464\pi\) | |||||||
\(458\) | −7.57828e8 | + | 1.31260e9i | −0.368588 | + | 0.638414i | ||||
\(459\) | 1.71650e8 | − | 2.97307e8i | 0.0828514 | − | 0.143503i | ||||
\(460\) | −1.03441e9 | − | 1.79165e9i | −0.495496 | − | 0.858223i | ||||
\(461\) | −2.01437e9 | −0.957605 | −0.478802 | − | 0.877923i | \(-0.658929\pi\) | ||||
−0.478802 | + | 0.877923i | \(0.658929\pi\) | |||||||
\(462\) | −3.79051e7 | + | 1.05015e8i | −0.0178834 | + | 0.0495456i | ||||
\(463\) | 2.53769e8 | 0.118824 | 0.0594121 | − | 0.998234i | \(-0.481077\pi\) | ||||
0.0594121 | + | 0.998234i | \(0.481077\pi\) | |||||||
\(464\) | 2.02181e8 | + | 3.50188e8i | 0.0939567 | + | 0.162738i | ||||
\(465\) | 2.91985e7 | − | 5.05733e7i | 0.0134671 | − | 0.0233258i | ||||
\(466\) | 1.21570e9 | − | 2.10566e9i | 0.556515 | − | 0.963912i | ||||
\(467\) | 7.27005e8 | + | 1.25921e9i | 0.330315 | + | 0.572123i | 0.982574 | − | 0.185874i | \(-0.0595116\pi\) |
−0.652258 | + | 0.757997i | \(0.726178\pi\) | |||||||
\(468\) | −5.58769e8 | −0.251983 | ||||||||
\(469\) | −9.14749e8 | + | 2.53429e9i | −0.409446 | + | 1.13436i | ||||
\(470\) | 3.37561e9 | 1.49972 | ||||||||
\(471\) | 3.41682e7 | + | 5.91811e7i | 0.0150678 | + | 0.0260981i | ||||
\(472\) | −3.71471e6 | + | 6.43407e6i | −0.00162603 | + | 0.00281636i | ||||
\(473\) | 8.21035e8 | − | 1.42207e9i | 0.356736 | − | 0.617886i | ||||
\(474\) | 1.98919e7 | + | 3.44538e7i | 0.00857931 | + | 0.0148598i | ||||
\(475\) | 2.71708e9 | 1.16325 | ||||||||
\(476\) | −1.04950e9 | − | 1.24399e9i | −0.446025 | − | 0.528678i | ||||
\(477\) | −4.00494e9 | −1.68959 | ||||||||
\(478\) | −2.70372e8 | − | 4.68298e8i | −0.113231 | − | 0.196121i | ||||
\(479\) | −2.20005e9 | + | 3.81060e9i | −0.914656 | + | 1.58423i | −0.107253 | + | 0.994232i | \(0.534205\pi\) |
−0.807404 | + | 0.589999i | \(0.799128\pi\) | |||||||
\(480\) | 2.01482e7 | − | 3.48978e7i | 0.00831558 | − | 0.0144030i | ||||
\(481\) | 2.00452e8 | + | 3.47194e8i | 0.0821303 | + | 0.142254i | ||||
\(482\) | 1.95350e9 | 0.794601 | ||||||||
\(483\) | −1.84859e8 | + | 3.31049e7i | −0.0746493 | + | 0.0133683i | ||||
\(484\) | 6.75376e8 | 0.270761 | ||||||||
\(485\) | −2.26794e9 | − | 3.92819e9i | −0.902685 | − | 1.56350i | ||||
\(486\) | −1.60271e8 | + | 2.77597e8i | −0.0633327 | + | 0.109695i | ||||
\(487\) | −3.40716e8 | + | 5.90137e8i | −0.133672 | + | 0.231527i | −0.925089 | − | 0.379749i | \(-0.876010\pi\) |
0.791417 | + | 0.611276i | \(0.209344\pi\) | |||||||
\(488\) | 5.19519e8 | + | 8.99833e8i | 0.202363 | + | 0.350504i | ||||
\(489\) | 2.59346e8 | 0.100299 | ||||||||
\(490\) | −4.86222e8 | + | 2.84632e9i | −0.186702 | + | 1.09294i | ||||
\(491\) | −4.49295e9 | −1.71296 | −0.856478 | − | 0.516184i | \(-0.827352\pi\) | ||||
−0.856478 | + | 0.516184i | \(0.827352\pi\) | |||||||
\(492\) | 4.39169e7 | + | 7.60663e7i | 0.0166247 | + | 0.0287948i | ||||
\(493\) | −1.38323e9 | + | 2.39583e9i | −0.519913 | + | 0.900516i | ||||
\(494\) | 3.82082e8 | − | 6.61786e8i | 0.142598 | − | 0.246987i | ||||
\(495\) | 2.61731e9 | + | 4.53332e9i | 0.969923 | + | 1.67996i | ||||
\(496\) | −1.94506e8 | −0.0715727 | ||||||||
\(497\) | 3.87948e9 | − | 6.94745e8i | 1.41751 | − | 0.253851i | ||||
\(498\) | −3.53558e7 | −0.0128280 | ||||||||
\(499\) | 1.56243e9 | + | 2.70620e9i | 0.562921 | + | 0.975008i | 0.997240 | + | 0.0742487i | \(0.0236559\pi\) |
−0.434319 | + | 0.900759i | \(0.643011\pi\) | |||||||
\(500\) | 5.02670e8 | − | 8.70650e8i | 0.179841 | − | 0.311493i | ||||
\(501\) | 1.03120e7 | − | 1.78610e7i | 0.00366364 | − | 0.00634561i | ||||
\(502\) | −1.05260e9 | − | 1.82316e9i | −0.371365 | − | 0.643224i | ||||
\(503\) | 4.08890e8 | 0.143258 | 0.0716290 | − | 0.997431i | \(-0.477180\pi\) | ||||
0.0716290 | + | 0.997431i | \(0.477180\pi\) | |||||||
\(504\) | 6.52893e8 | + | 7.73880e8i | 0.227162 | + | 0.269257i | ||||
\(505\) | 3.90113e9 | 1.34794 | ||||||||
\(506\) | 1.61696e9 | + | 2.80065e9i | 0.554845 | + | 0.961019i | ||||
\(507\) | −6.55110e7 | + | 1.13468e8i | −0.0223247 | + | 0.0386676i | ||||
\(508\) | 1.25888e8 | − | 2.18045e8i | 0.0426051 | − | 0.0737943i | ||||
\(509\) | −1.47071e9 | − | 2.54734e9i | −0.494327 | − | 0.856199i | 0.505652 | − | 0.862738i | \(-0.331252\pi\) |
−0.999979 | + | 0.00653832i | \(0.997919\pi\) | |||||||
\(510\) | 2.75690e8 | 0.0920292 | ||||||||
\(511\) | 4.62479e8 | − | 1.28129e9i | 0.153327 | − | 0.424789i | ||||
\(512\) | −1.34218e8 | −0.0441942 | ||||||||
\(513\) | −1.46035e8 | − | 2.52940e8i | −0.0477580 | − | 0.0827193i | ||||
\(514\) | −1.02887e9 | + | 1.78205e9i | −0.334187 | + | 0.578828i | ||||
\(515\) | −2.28411e9 | + | 3.95620e9i | −0.736872 | + | 1.27630i | ||||
\(516\) | 2.69002e7 | + | 4.65925e7i | 0.00861949 | + | 0.0149294i | ||||
\(517\) | −5.27664e9 | −1.67935 | ||||||||
\(518\) | 2.46636e8 | − | 6.83299e8i | 0.0779654 | − | 0.216001i | ||||
\(519\) | 3.52722e8 | 0.110751 | ||||||||
\(520\) | −4.49535e8 | − | 7.78617e8i | −0.140201 | − | 0.242835i | ||||
\(521\) | 2.28708e9 | − | 3.96135e9i | 0.708517 | − | 1.22719i | −0.256891 | − | 0.966440i | \(-0.582698\pi\) |
0.965407 | − | 0.260746i | \(-0.0839686\pi\) | |||||||
\(522\) | 8.60505e8 | − | 1.49044e9i | 0.264793 | − | 0.458635i | ||||
\(523\) | −9.05286e8 | − | 1.56800e9i | −0.276713 | − | 0.479281i | 0.693853 | − | 0.720117i | \(-0.255912\pi\) |
−0.970566 | + | 0.240836i | \(0.922578\pi\) | |||||||
\(524\) | 1.57286e9 | 0.477563 | ||||||||
\(525\) | −1.87123e8 | − | 2.21799e8i | −0.0564378 | − | 0.0668963i | ||||
\(526\) | −1.65842e9 | −0.496872 | ||||||||
\(527\) | −6.65362e8 | − | 1.15244e9i | −0.198025 | − | 0.342990i | ||||
\(528\) | −3.14951e7 | + | 5.45511e7i | −0.00931159 | + | 0.0161282i | ||||
\(529\) | −1.01745e9 | + | 1.76228e9i | −0.298827 | + | 0.517583i | ||||
\(530\) | −3.22201e9 | − | 5.58069e9i | −0.940073 | − | 1.62825i | ||||
\(531\) | 3.16204e7 | 0.00916509 | ||||||||
\(532\) | −1.36300e9 | + | 2.44089e8i | −0.392469 | + | 0.0702840i | ||||
\(533\) | 1.95969e9 | 0.560587 | ||||||||
\(534\) | −9.87043e7 | − | 1.70961e8i | −0.0280506 | − | 0.0485850i | ||||
\(535\) | 8.56756e8 | − | 1.48394e9i | 0.241891 | − | 0.418967i | ||||
\(536\) | −7.60058e8 | + | 1.31646e9i | −0.213192 | + | 0.369259i | ||||
\(537\) | 1.09571e8 | + | 1.89783e8i | 0.0305343 | + | 0.0528869i | ||||
\(538\) | 2.21141e9 | 0.612253 | ||||||||
\(539\) | 7.60047e8 | − | 4.44928e9i | 0.209064 | − | 1.22385i | ||||
\(540\) | −3.43632e8 | −0.0939107 | ||||||||
\(541\) | −1.28887e9 | − | 2.23240e9i | −0.349961 | − | 0.606151i | 0.636281 | − | 0.771458i | \(-0.280472\pi\) |
−0.986242 | + | 0.165307i | \(0.947139\pi\) | |||||||
\(542\) | −6.02916e7 | + | 1.04428e8i | −0.0162652 | + | 0.0281721i | ||||
\(543\) | 3.11637e7 | − | 5.39770e7i | 0.00835312 | − | 0.0144680i | ||||
\(544\) | −4.59129e8 | − | 7.95234e8i | −0.122275 | − | 0.211787i | ||||
\(545\) | 8.10009e9 | 2.14339 | ||||||||
\(546\) | −8.03363e7 | + | 1.43868e7i | −0.0211221 | + | 0.00378259i | ||||
\(547\) | −3.43757e8 | −0.0898039 | −0.0449020 | − | 0.998991i | \(-0.514298\pi\) | ||||
−0.0449020 | + | 0.998991i | \(0.514298\pi\) | |||||||
\(548\) | 6.85522e8 | + | 1.18736e9i | 0.177946 | + | 0.308212i | ||||
\(549\) | 2.21113e9 | − | 3.82979e9i | 0.570310 | − | 0.987806i | ||||
\(550\) | −2.49853e9 | + | 4.32758e9i | −0.640346 | + | 1.10911i | ||||
\(551\) | 1.17681e9 | + | 2.03830e9i | 0.299693 | + | 0.519084i | ||||
\(552\) | −1.05955e8 | −0.0268124 | ||||||||
\(553\) | −1.03715e9 | − | 1.22935e9i | −0.260798 | − | 0.309127i | ||||
\(554\) | −1.23574e9 | −0.308777 | ||||||||
\(555\) | 6.15259e7 | + | 1.06566e8i | 0.0152768 | + | 0.0264602i | ||||
\(556\) | −8.64370e7 | + | 1.49713e8i | −0.0213274 | + | 0.0369401i | ||||
\(557\) | −9.15003e8 | + | 1.58483e9i | −0.224352 | + | 0.388588i | −0.956125 | − | 0.292960i | \(-0.905360\pi\) |
0.731773 | + | 0.681548i | \(0.238693\pi\) | |||||||
\(558\) | 4.13920e8 | + | 7.16930e8i | 0.100855 | + | 0.174686i | ||||
\(559\) | 1.20036e9 | 0.290650 | ||||||||
\(560\) | −5.53106e8 | + | 1.53237e9i | −0.133091 | + | 0.368727i | ||||
\(561\) | −4.30950e8 | −0.103052 | ||||||||
\(562\) | 9.34614e8 | + | 1.61880e9i | 0.222103 | + | 0.384694i | ||||
\(563\) | −1.65201e9 | + | 2.86136e9i | −0.390151 | + | 0.675761i | −0.992469 | − | 0.122495i | \(-0.960910\pi\) |
0.602319 | + | 0.798256i | \(0.294244\pi\) | |||||||
\(564\) | 8.64414e7 | − | 1.49721e8i | 0.0202883 | − | 0.0351403i | ||||
\(565\) | 1.98571e8 | + | 3.43935e8i | 0.0463176 | + | 0.0802244i | ||||
\(566\) | −4.80319e9 | −1.11345 | ||||||||
\(567\) | 1.45775e9 | − | 4.03866e9i | 0.335847 | − | 0.930457i | ||||
\(568\) | 2.22359e9 | 0.509139 | ||||||||
\(569\) | 2.11764e9 | + | 3.66786e9i | 0.481903 | + | 0.834680i | 0.999784 | − | 0.0207723i | \(-0.00661252\pi\) |
−0.517881 | + | 0.855452i | \(0.673279\pi\) | |||||||
\(570\) | 1.17275e8 | − | 2.03126e8i | 0.0265242 | − | 0.0459412i | ||||
\(571\) | 4.81565e8 | − | 8.34094e8i | 0.108250 | − | 0.187495i | −0.806811 | − | 0.590809i | \(-0.798809\pi\) |
0.915061 | + | 0.403315i | \(0.132142\pi\) | |||||||
\(572\) | 7.02699e8 | + | 1.21711e9i | 0.156994 | + | 0.271922i | ||||
\(573\) | −5.14907e8 | −0.114337 | ||||||||
\(574\) | −2.28980e9 | − | 2.71412e9i | −0.505366 | − | 0.599015i | ||||
\(575\) | −8.40551e9 | −1.84385 | ||||||||
\(576\) | 2.85623e8 | + | 4.94713e8i | 0.0622750 | + | 0.107863i | ||||
\(577\) | −2.48025e9 | + | 4.29592e9i | −0.537502 | + | 0.930980i | 0.461536 | + | 0.887122i | \(0.347299\pi\) |
−0.999038 | + | 0.0438590i | \(0.986035\pi\) | |||||||
\(578\) | 1.49980e9 | − | 2.59772e9i | 0.323061 | − | 0.559559i | ||||
\(579\) | 6.97296e7 | + | 1.20775e8i | 0.0149294 | + | 0.0258585i | ||||
\(580\) | 2.76913e9 | 0.589313 | ||||||||
\(581\) | 1.40700e9 | − | 2.51969e8i | 0.297631 | − | 0.0533004i | ||||
\(582\) | −2.32307e8 | −0.0488463 | ||||||||
\(583\) | 5.03655e9 | + | 8.72356e9i | 1.05267 | + | 1.82328i | ||||
\(584\) | 3.84271e8 | − | 6.65577e8i | 0.0798348 | − | 0.138278i | ||||
\(585\) | −1.91327e9 | + | 3.31388e9i | −0.395121 | + | 0.684370i | ||||
\(586\) | 5.36454e8 | + | 9.29166e8i | 0.110126 | + | 0.190744i | ||||
\(587\) | 9.33658e9 | 1.90526 | 0.952630 | − | 0.304130i | \(-0.0983658\pi\) | ||||
0.952630 | + | 0.304130i | \(0.0983658\pi\) | |||||||
\(588\) | 1.13794e8 | + | 9.44534e7i | 0.0230834 | + | 0.0191601i | ||||
\(589\) | −1.13214e9 | −0.228295 | ||||||||
\(590\) | 2.54389e7 | + | 4.40615e7i | 0.00509937 | + | 0.00883236i | ||||
\(591\) | 3.71870e7 | − | 6.44098e7i | 0.00741028 | − | 0.0128350i | ||||
\(592\) | 2.04928e8 | − | 3.54946e8i | 0.0405953 | − | 0.0703130i | ||||
\(593\) | −5.22179e8 | − | 9.04440e8i | −0.102832 | − | 0.178110i | 0.810018 | − | 0.586404i | \(-0.199457\pi\) |
−0.912850 | + | 0.408294i | \(0.866124\pi\) | |||||||
\(594\) | 5.37154e8 | 0.105159 | ||||||||
\(595\) | −1.09713e10 | + | 1.96475e9i | −2.13524 | + | 0.382383i | ||||
\(596\) | 5.21163e8 | 0.100835 | ||||||||
\(597\) | −7.42635e7 | − | 1.28628e8i | −0.0142845 | − | 0.0247415i | ||||
\(598\) | −1.18200e9 | + | 2.04729e9i | −0.226029 | + | 0.391494i | ||||
\(599\) | 6.12748e8 | − | 1.06131e9i | 0.116490 | − | 0.201766i | −0.801885 | − | 0.597479i | \(-0.796169\pi\) |
0.918374 | + | 0.395713i | \(0.129502\pi\) | |||||||
\(600\) | −8.18613e7 | − | 1.41788e8i | −0.0154721 | − | 0.0267985i | ||||
\(601\) | −9.11718e9 | −1.71317 | −0.856584 | − | 0.516008i | \(-0.827418\pi\) | ||||
−0.856584 | + | 0.516008i | \(0.827418\pi\) | |||||||
\(602\) | −1.40256e9 | − | 1.66247e9i | −0.262019 | − | 0.310574i | ||||
\(603\) | 6.46978e9 | 1.20165 | ||||||||
\(604\) | −1.60518e9 | − | 2.78026e9i | −0.296412 | − | 0.513401i | ||||
\(605\) | 2.31254e9 | − | 4.00543e9i | 0.424566 | − | 0.735370i | ||||
\(606\) | 9.98988e7 | − | 1.73030e8i | 0.0182350 | − | 0.0315840i | ||||
\(607\) | −4.68752e9 | − | 8.11903e9i | −0.850713 | − | 1.47348i | −0.880566 | − | 0.473924i | \(-0.842837\pi\) |
0.0298530 | − | 0.999554i | \(-0.490496\pi\) | |||||||
\(608\) | −7.81227e8 | −0.140966 | ||||||||
\(609\) | 8.53432e7 | − | 2.36441e8i | 0.0153112 | − | 0.0424192i | ||||
\(610\) | 7.11549e9 | 1.26926 | ||||||||
\(611\) | −1.92863e9 | − | 3.34048e9i | −0.342061 | − | 0.592468i | ||||
\(612\) | −1.95410e9 | + | 3.38460e9i | −0.344601 | + | 0.596867i | ||||
\(613\) | −1.22631e9 | + | 2.12403e9i | −0.215025 | + | 0.372434i | −0.953280 | − | 0.302087i | \(-0.902317\pi\) |
0.738256 | + | 0.674521i | \(0.235650\pi\) | |||||||
\(614\) | 1.71333e9 | + | 2.96758e9i | 0.298712 | + | 0.517384i | ||||
\(615\) | 6.01499e8 | 0.104273 | ||||||||
\(616\) | 8.64598e8 | − | 2.39535e9i | 0.149033 | − | 0.412892i | ||||
\(617\) | −2.98428e9 | −0.511495 | −0.255747 | − | 0.966744i | \(-0.582322\pi\) | ||||
−0.255747 | + | 0.966744i | \(0.582322\pi\) | |||||||
\(618\) | 1.16982e8 | + | 2.02618e8i | 0.0199369 | + | 0.0345317i | ||||
\(619\) | 1.59754e9 | − | 2.76702e9i | 0.270728 | − | 0.468915i | −0.698320 | − | 0.715786i | \(-0.746069\pi\) |
0.969049 | + | 0.246870i | \(0.0794022\pi\) | |||||||
\(620\) | −6.66004e8 | + | 1.15355e9i | −0.112229 | + | 0.194387i | ||||
\(621\) | 4.51771e8 | + | 7.82491e8i | 0.0757004 | + | 0.131117i | ||||
\(622\) | 3.36103e9 | 0.560024 | ||||||||
\(623\) | 5.14638e9 | + | 6.10006e9i | 0.852695 | + | 1.01071i | ||||
\(624\) | −4.60461e7 | −0.00758660 | ||||||||
\(625\) | 1.00943e9 | + | 1.74839e9i | 0.165386 | + | 0.286456i | ||||
\(626\) | 4.07085e9 | − | 7.05092e9i | 0.663246 | − | 1.14878i | ||||
\(627\) | −1.83320e8 | + | 3.17520e8i | −0.0297012 | + | 0.0514439i | ||||
\(628\) | −7.79361e8 | − | 1.34989e9i | −0.125568 | − | 0.217491i | ||||
\(629\) | 2.80405e9 | 0.449271 | ||||||||
\(630\) | 6.82519e9 | − | 1.22227e9i | 1.08748 | − | 0.194749i | ||||
\(631\) | −7.26845e8 | −0.115170 | −0.0575850 | − | 0.998341i | \(-0.518340\pi\) | ||||
−0.0575850 | + | 0.998341i | \(0.518340\pi\) | |||||||
\(632\) | −4.53725e8 | − | 7.85875e8i | −0.0714963 | − | 0.123835i | ||||
\(633\) | −1.45470e8 | + | 2.51962e8i | −0.0227961 | + | 0.0394840i | ||||
\(634\) | −8.07631e8 | + | 1.39886e9i | −0.125864 | + | 0.218002i | ||||
\(635\) | −8.62102e8 | − | 1.49320e9i | −0.133614 | − | 0.231425i | ||||
\(636\) | −3.30033e8 | −0.0508695 | ||||||||
\(637\) | 3.09450e9 | − | 1.14506e9i | 0.474354 | − | 0.175526i | ||||
\(638\) | −4.32863e9 | −0.659899 | ||||||||
\(639\) | −4.73193e9 | − | 8.19594e9i | −0.717439 | − | 1.24264i | ||||
\(640\) | −4.59572e8 | + | 7.96002e8i | −0.0692984 | + | 0.120028i | ||||
\(641\) | −1.21877e7 | + | 2.11097e7i | −0.00182775 | + | 0.00316576i | −0.866938 | − | 0.498416i | \(-0.833915\pi\) |
0.865110 | + | 0.501582i | \(0.167248\pi\) | |||||||
\(642\) | −4.38790e7 | − | 7.60007e7i | −0.00654462 | − | 0.0113356i | ||||
\(643\) | −2.62875e9 | −0.389952 | −0.194976 | − | 0.980808i | \(-0.562463\pi\) | ||||
−0.194976 | + | 0.980808i | \(0.562463\pi\) | |||||||
\(644\) | 4.21655e9 | − | 7.55108e8i | 0.622095 | − | 0.111406i | ||||
\(645\) | 3.68433e8 | 0.0540630 | ||||||||
\(646\) | −2.67240e9 | − | 4.62873e9i | −0.390021 | − | 0.675536i | ||||
\(647\) | −1.60942e9 | + | 2.78760e9i | −0.233617 | + | 0.404637i | −0.958870 | − | 0.283846i | \(-0.908390\pi\) |
0.725253 | + | 0.688483i | \(0.241723\pi\) | |||||||
\(648\) | 1.21123e9 | − | 2.09792e9i | 0.174870 | − | 0.302884i | ||||
\(649\) | −3.97653e7 | − | 6.88755e7i | −0.00571015 | − | 0.00989028i | ||||
\(650\) | −3.65288e9 | −0.521721 | ||||||||
\(651\) | 7.79697e7 | + | 9.24183e7i | 0.0110762 | + | 0.0131288i | ||||
\(652\) | −5.91556e9 | −0.835852 | ||||||||
\(653\) | 2.10281e9 | + | 3.64217e9i | 0.295531 | + | 0.511875i | 0.975108 | − | 0.221729i | \(-0.0711701\pi\) |
−0.679577 | + | 0.733604i | \(0.737837\pi\) | |||||||
\(654\) | 2.07424e8 | − | 3.59270e8i | 0.0289960 | − | 0.0502225i | ||||
\(655\) | 5.38560e9 | − | 9.32813e9i | 0.748841 | − | 1.29703i | ||||
\(656\) | −1.00172e9 | − | 1.73504e9i | −0.138543 | − | 0.239964i | ||||
\(657\) | −3.27100e9 | −0.449988 | ||||||||
\(658\) | −2.37298e9 | + | 6.57427e9i | −0.324715 | + | 0.899616i | ||||
\(659\) | 5.67904e9 | 0.772994 | 0.386497 | − | 0.922291i | \(-0.373685\pi\) | ||||
0.386497 | + | 0.922291i | \(0.373685\pi\) | |||||||
\(660\) | 2.15683e8 | + | 3.73574e8i | 0.0292020 | + | 0.0505793i | ||||
\(661\) | −4.71978e9 | + | 8.17490e9i | −0.635648 | + | 1.10097i | 0.350729 | + | 0.936477i | \(0.385934\pi\) |
−0.986377 | + | 0.164498i | \(0.947400\pi\) | |||||||
\(662\) | −2.72695e9 | + | 4.72322e9i | −0.365321 | + | 0.632755i | ||||
\(663\) | −1.57513e8 | − | 2.72821e8i | −0.0209904 | − | 0.0363564i | ||||
\(664\) | 8.06449e8 | 0.106903 | ||||||||
\(665\) | −3.21940e9 | + | 8.91928e9i | −0.424522 | + | 1.17613i | ||||
\(666\) | −1.74439e9 | −0.228815 | ||||||||
\(667\) | −3.64057e9 | − | 6.30565e9i | −0.475039 | − | 0.822791i | ||||
\(668\) | −2.35213e8 | + | 4.07401e8i | −0.0305312 | + | 0.0528816i | ||||
\(669\) | 3.44368e8 | − | 5.96463e8i | 0.0444663 | − | 0.0770179i | ||||
\(670\) | 5.20500e9 | + | 9.01532e9i | 0.668588 | + | 1.15803i | ||||
\(671\) | −1.11227e10 | −1.42129 | ||||||||
\(672\) | 5.38025e7 | + | 6.37727e7i | 0.00683928 | + | 0.00810666i | ||||
\(673\) | 1.03784e10 | 1.31243 | 0.656214 | − | 0.754575i | \(-0.272157\pi\) | ||||
0.656214 | + | 0.754575i | \(0.272157\pi\) | |||||||
\(674\) | 2.56306e9 | + | 4.43936e9i | 0.322441 | + | 0.558483i | ||||
\(675\) | −6.98080e8 | + | 1.20911e9i | −0.0873659 | + | 0.151322i | ||||
\(676\) | 1.49428e9 | − | 2.58816e9i | 0.186045 | − | 0.322239i | ||||
\(677\) | 4.23685e9 | + | 7.33843e9i | 0.524786 | + | 0.908956i | 0.999583 | + | 0.0288609i | \(0.00918800\pi\) |
−0.474797 | + | 0.880095i | \(0.657479\pi\) | |||||||
\(678\) | 2.03397e7 | 0.00250635 | ||||||||
\(679\) | 9.24480e9 | − | 1.65558e9i | 1.13332 | − | 0.202957i | ||||
\(680\) | −6.28837e9 | −0.766932 | ||||||||
\(681\) | 5.92443e7 | + | 1.02614e8i | 0.00718839 | + | 0.0124507i | ||||
\(682\) | 1.04108e9 | − | 1.80320e9i | 0.125672 | − | 0.217670i | ||||
\(683\) | 3.01846e9 | − | 5.22813e9i | 0.362505 | − | 0.627876i | −0.625868 | − | 0.779929i | \(-0.715255\pi\) |
0.988372 | + | 0.152053i | \(0.0485884\pi\) | |||||||
\(684\) | 1.66249e9 | + | 2.87952e9i | 0.198639 | + | 0.344052i | ||||
\(685\) | 9.38911e9 | 1.11611 | ||||||||
\(686\) | −5.20164e9 | − | 2.94786e9i | −0.615185 | − | 0.348636i | ||||
\(687\) | 5.31587e8 | 0.0625498 | ||||||||
\(688\) | −6.13581e8 | − | 1.06275e9i | −0.0718311 | − | 0.124415i | ||||
\(689\) | −3.68174e9 | + | 6.37697e9i | −0.428831 | + | 0.742757i | ||||
\(690\) | −3.62799e8 | + | 6.28386e8i | −0.0420430 | + | 0.0728206i | ||||
\(691\) | 3.22605e9 | + | 5.58767e9i | 0.371961 | + | 0.644255i | 0.989867 | − | 0.141997i | \(-0.0453522\pi\) |
−0.617906 | + | 0.786252i | \(0.712019\pi\) | |||||||
\(692\) | −8.04543e9 | −0.922950 | ||||||||
\(693\) | −1.06689e10 | + | 1.91061e9i | −1.21774 | + | 0.218075i | ||||
\(694\) | −6.48372e9 | −0.736319 | ||||||||
\(695\) | 5.91934e8 | + | 1.02526e9i | 0.0668846 | + | 0.115848i | ||||
\(696\) | 7.09111e7 | − | 1.22822e8i | 0.00797227 | − | 0.0138084i | ||||
\(697\) | 6.85335e9 | − | 1.18703e10i | 0.766634 | − | 1.32785i | ||||
\(698\) | 1.46134e9 | + | 2.53111e9i | 0.162651 | + | 0.281719i | ||||
\(699\) | −8.52768e8 | −0.0944410 | ||||||||
\(700\) | 4.26819e9 | + | 5.05914e9i | 0.470328 | + | 0.557485i | ||||
\(701\) | 9.23417e8 | 0.101248 | 0.0506238 | − | 0.998718i | \(-0.483879\pi\) | ||||
0.0506238 | + | 0.998718i | \(0.483879\pi\) | |||||||
\(702\) | 1.96331e8 | + | 3.40056e8i | 0.0214195 | + | 0.0370997i | ||||
\(703\) | 1.19280e9 | − | 2.06599e9i | 0.129487 | − | 0.224277i | ||||
\(704\) | 7.18388e8 | − | 1.24429e9i | 0.0775988 | − | 0.134405i | ||||
\(705\) | −5.91964e8 | − | 1.02531e9i | −0.0636258 | − | 0.110203i | ||||
\(706\) | −2.93150e9 | −0.313526 | ||||||||
\(707\) | −2.74241e9 | + | 7.59777e9i | −0.291853 | + | 0.808571i | ||||
\(708\) | 2.60572e6 | 0.000275938 | ||||||||
\(709\) | −3.95369e8 | − | 6.84799e8i | −0.0416621 | − | 0.0721608i | 0.844442 | − | 0.535646i | \(-0.179932\pi\) |
−0.886105 | + | 0.463485i | \(0.846599\pi\) | |||||||
\(710\) | 7.61375e9 | − | 1.31874e10i | 0.798352 | − | 1.38279i | ||||
\(711\) | −1.93110e9 | + | 3.34477e9i | −0.201494 | + | 0.348998i | ||||
\(712\) | 2.25140e9 | + | 3.89954e9i | 0.233761 | + | 0.404887i | ||||
\(713\) | 3.50237e9 | 0.361867 | ||||||||
\(714\) | −1.93804e8 | + | 5.36929e8i | −0.0199259 | + | 0.0552044i | ||||
\(715\) | 9.62438e9 | 0.984694 | ||||||||
\(716\) | −2.49928e9 | − | 4.32887e9i | −0.254459 | − | 0.440737i | ||||
\(717\) | −9.48278e7 | + | 1.64246e8i | −0.00960768 | + | 0.0166410i | ||||
\(718\) | 1.58909e9 | − | 2.75239e9i | 0.160219 | − | 0.277508i | ||||
\(719\) | −1.78175e9 | − | 3.08608e9i | −0.178770 | − | 0.309639i | 0.762689 | − | 0.646765i | \(-0.223879\pi\) |
−0.941460 | + | 0.337126i | \(0.890545\pi\) | |||||||
\(720\) | 3.91197e9 | 0.390600 | ||||||||
\(721\) | −6.09934e9 | − | 7.22961e9i | −0.606051 | − | 0.718359i | ||||
\(722\) | 2.60377e9 | 0.257468 | ||||||||
\(723\) | −3.42576e8 | − | 5.93359e8i | −0.0337111 | − | 0.0583894i | ||||
\(724\) | −7.10829e8 | + | 1.23119e9i | −0.0696113 | + | 0.120570i | ||||
\(725\) | 5.62543e9 | − | 9.74353e9i | 0.548243 | − | 0.949584i | ||||
\(726\) | −1.18437e8 | − | 2.05140e8i | −0.0114871 | − | 0.0198963i | ||||
\(727\) | −9.69075e9 | −0.935378 | −0.467689 | − | 0.883893i | \(-0.654913\pi\) | ||||
−0.467689 | + | 0.883893i | \(0.654913\pi\) | |||||||
\(728\) | 1.83243e9 | − | 3.28156e8i | 0.176023 | − | 0.0315225i | ||||
\(729\) | −1.02351e10 | −0.978466 | ||||||||
\(730\) | −2.63155e9 | − | 4.55797e9i | −0.250369 | − | 0.433652i | ||||
\(731\) | 4.19785e9 | − | 7.27088e9i | 0.397480 | − | 0.688456i | ||||
\(732\) | 1.82211e8 | − | 3.15599e8i | 0.0171706 | − | 0.0297404i | ||||
\(733\) | −7.33230e9 | − | 1.26999e10i | −0.687664 | − | 1.19107i | −0.972592 | − | 0.232520i | \(-0.925303\pi\) |
0.284928 | − | 0.958549i | \(-0.408030\pi\) | |||||||
\(734\) | −8.47791e9 | −0.791321 | ||||||||
\(735\) | 9.49812e8 | − | 3.51460e8i | 0.0882332 | − | 0.0326490i | ||||
\(736\) | 2.41679e9 | 0.223443 | ||||||||
\(737\) | −8.13629e9 | − | 1.40925e10i | −0.748669 | − | 1.29673i | ||||
\(738\) | −4.26345e9 | + | 7.38451e9i | −0.390448 | + | 0.676276i | ||||
\(739\) | −6.91055e9 | + | 1.19694e10i | −0.629879 | + | 1.09098i | 0.357697 | + | 0.933838i | \(0.383562\pi\) |
−0.987576 | + | 0.157145i | \(0.949771\pi\) | |||||||
\(740\) | −1.40338e9 | − | 2.43072e9i | −0.127310 | − | 0.220508i | ||||
\(741\) | −2.68016e8 | −0.0241990 | ||||||||
\(742\) | 1.31339e10 | − | 2.35204e9i | 1.18026 | − | 0.211364i | ||||
\(743\) | 1.45009e10 | 1.29699 | 0.648493 | − | 0.761221i | \(-0.275400\pi\) | ||||
0.648493 | + | 0.761221i | \(0.275400\pi\) | |||||||
\(744\) | 3.41096e7 | + | 5.90796e7i | 0.00303649 | + | 0.00525935i | ||||
\(745\) | 1.78450e9 | − | 3.09085e9i | 0.158114 | − | 0.273862i | ||||
\(746\) | −2.40557e8 | + | 4.16657e8i | −0.0212145 | + | 0.0367446i | ||||
\(747\) | −1.71617e9 | − | 2.97249e9i | −0.150639 | − | 0.260914i | ||||
\(748\) | 9.82978e9 | 0.858792 | ||||||||
\(749\) | 2.28782e9 | + | 2.71178e9i | 0.198947 | + | 0.235813i | ||||
\(750\) | −3.52603e8 | −0.0305191 | ||||||||
\(751\) | 1.12527e10 | + | 1.94903e10i | 0.969433 | + | 1.67911i | 0.697200 | + | 0.716876i | \(0.254429\pi\) |
0.272233 | + | 0.962231i | \(0.412238\pi\) | |||||||
\(752\) | −1.97169e9 | + | 3.41507e9i | −0.169074 | + | 0.292844i | ||||
\(753\) | −3.69180e8 | + | 6.39438e8i | −0.0315105 | + | 0.0545778i | ||||
\(754\) | −1.58212e9 | − | 2.74032e9i | −0.134413 | − | 0.232810i | ||||
\(755\) | −2.19851e10 | −1.85915 | ||||||||
\(756\) | 2.41565e8 | − | 6.69251e8i | 0.0203333 | − | 0.0563330i | ||||
\(757\) | −9.76692e7 | −0.00818318 | −0.00409159 | − | 0.999992i | \(-0.501302\pi\) | ||||
−0.00409159 | + | 0.999992i | \(0.501302\pi\) | |||||||
\(758\) | 2.97449e9 | + | 5.15196e9i | 0.248068 | + | 0.429666i | ||||
\(759\) | 5.67116e8 | − | 9.82273e8i | 0.0470788 | − | 0.0815429i | ||||
\(760\) | −2.67498e9 | + | 4.63320e9i | −0.221041 | + | 0.382854i | ||||
\(761\) | −2.31336e8 | − | 4.00686e8i | −0.0190282 | − | 0.0329577i | 0.856355 | − | 0.516388i | \(-0.172724\pi\) |
−0.875383 | + | 0.483431i | \(0.839391\pi\) | |||||||
\(762\) | −8.83057e7 | −0.00723013 | ||||||||
\(763\) | −5.69418e9 | + | 1.57756e10i | −0.464083 | + | 1.28573i | ||||
\(764\) | 1.17448e10 | 0.952838 | ||||||||
\(765\) | 1.33820e10 | + | 2.31783e10i | 1.08070 | + | 1.87183i | ||||
\(766\) | 7.21362e9 | − | 1.24944e10i | 0.579900 | − | 1.00442i | ||||
\(767\) | 2.90686e7 | − | 5.03484e7i | 0.00232617 | − | 0.00402904i | ||||
\(768\) | 2.35371e7 | + | 4.07675e7i | 0.00187495 | + | 0.00324750i | ||||
\(769\) | 5.59414e9 | 0.443600 | 0.221800 | − | 0.975092i | \(-0.428807\pi\) | ||||
0.221800 | + | 0.975092i | \(0.428807\pi\) | |||||||
\(770\) | −1.12456e10 | − | 1.33295e10i | −0.887696 | − | 1.05220i | ||||
\(771\) | 7.21711e8 | 0.0567118 | ||||||||
\(772\) | −1.59050e9 | − | 2.75483e9i | −0.124415 | − | 0.215493i | ||||
\(773\) | −4.82308e9 | + | 8.35381e9i | −0.375574 | + | 0.650514i | −0.990413 | − | 0.138139i | \(-0.955888\pi\) |
0.614838 | + | 0.788653i | \(0.289221\pi\) | |||||||
\(774\) | −2.61147e9 | + | 4.52320e9i | −0.202438 | + | 0.350632i | ||||
\(775\) | 2.70594e9 | + | 4.68683e9i | 0.208815 | + | 0.361679i | ||||
\(776\) | 5.29882e9 | 0.407064 | ||||||||
\(777\) | −2.50798e8 | + | 4.49133e7i | −0.0191800 | + | 0.00343480i | ||||
\(778\) | 5.50867e9 | 0.419390 | ||||||||
\(779\) | −5.83063e9 | − | 1.00989e10i | −0.441911 | − | 0.765411i | ||||
\(780\) | −1.57666e8 | + | 2.73085e8i | −0.0118961 | + | 0.0206047i | ||||
\(781\) | −1.19016e10 | + | 2.06141e10i | −0.893977 | + | 1.54841i | ||||
\(782\) | 8.26729e9 | + | 1.43194e10i | 0.618215 | + | 1.07078i | ||||
\(783\) | −1.20940e9 | −0.0900335 | ||||||||
\(784\) | −2.59559e9 | − | 2.15444e9i | −0.192367 | − | 0.159672i | ||||
\(785\) | −1.06744e10 | −0.787587 | ||||||||
\(786\) | −2.75825e8 | − | 4.77743e8i | −0.0202607 | − | 0.0350926i | ||||
\(787\) | 8.23168e9 | − | 1.42577e10i | 0.601973 | − | 1.04265i | −0.390549 | − | 0.920582i | \(-0.627715\pi\) |
0.992522 | − | 0.122065i | \(-0.0389517\pi\) | |||||||
\(788\) | −8.48218e8 | + | 1.46916e9i | −0.0617541 | + | 0.106961i | ||||
\(789\) | 2.90829e8 | + | 5.03731e8i | 0.0210799 | + | 0.0365115i | ||||
\(790\) | −6.21436e9 | −0.448437 | ||||||||
\(791\) | −8.09432e8 | + | 1.44955e8i | −0.0581517 | + | 0.0104139i | ||||
\(792\) | −6.11508e9 | −0.437385 | ||||||||
\(793\) | −4.06538e9 | − | 7.04145e9i | −0.289498 | − | 0.501425i | ||||
\(794\) | −5.65251e9 | + | 9.79044e9i | −0.400746 | + | 0.694113i | ||||
\(795\) | −1.13006e9 | + | 1.95732e9i | −0.0797656 | + | 0.138158i | ||||
\(796\) | 1.69392e9 | + | 2.93395e9i | 0.119041 | + | 0.206185i | ||||
\(797\) | 2.24857e10 | 1.57327 | 0.786634 | − | 0.617419i | \(-0.211822\pi\) | ||||
0.786634 | + | 0.617419i | \(0.211822\pi\) | |||||||
\(798\) | 3.13163e8 | + | 3.71195e8i | 0.0218152 | + | 0.0258578i | ||||
\(799\) | −2.69788e10 | −1.87115 | ||||||||
\(800\) | 1.86722e9 | + | 3.23412e9i | 0.128938 | + | 0.223327i | ||||
\(801\) | 9.58220e9 | − | 1.65969e10i | 0.658797 | − | 1.14107i | ||||
\(802\) | −8.96210e8 | + | 1.55228e9i | −0.0613479 | + | 0.106258i | ||||
\(803\) | 4.11355e9 | + | 7.12488e9i | 0.280358 | + | 0.485594i | ||||
\(804\) | 5.33151e8 | 0.0361788 | ||||||||
\(805\) | 9.95949e9 | − | 2.75925e10i | 0.672902 | − | 1.86426i | ||||
\(806\) | 1.52207e9 | 0.102391 | ||||||||
\(807\) | −3.87804e8 | − | 6.71697e8i | −0.0259750 | − | 0.0449900i | ||||
\(808\) | −2.27865e9 | + | 3.94673e9i | −0.151963 | + | 0.263207i | ||||
\(809\) | 3.88266e9 | − | 6.72496e9i | 0.257816 | − | 0.446550i | −0.707841 | − | 0.706372i | \(-0.750331\pi\) |
0.965656 | + | 0.259822i | \(0.0836640\pi\) | |||||||
\(810\) | −8.29471e9 | − | 1.43669e10i | −0.548408 | − | 0.949870i | ||||
\(811\) | 2.20730e10 | 1.45308 | 0.726539 | − | 0.687125i | \(-0.241127\pi\) | ||||
0.726539 | + | 0.687125i | \(0.241127\pi\) | |||||||
\(812\) | −1.94664e9 | + | 5.39312e9i | −0.127597 | + | 0.353504i | ||||
\(813\) | 4.22922e7 | 0.00276022 | ||||||||
\(814\) | 2.19372e9 | + | 3.79963e9i | 0.142559 | + | 0.246920i | ||||
\(815\) | −2.02553e10 | + | 3.50833e10i | −1.31065 | + | 2.27012i | ||||
\(816\) | −1.61030e8 | + | 2.78913e8i | −0.0103751 | + | 0.0179702i | ||||
\(817\) | −3.57141e9 | − | 6.18586e9i | −0.229120 | − | 0.396847i | ||||
\(818\) | −2.74296e9 | −0.175220 | ||||||||
\(819\) | −5.10907e9 | − | 6.05583e9i | −0.324973 | − | 0.385194i | ||||
\(820\) | −1.37199e10 | −0.868967 | ||||||||
\(821\) | 3.16187e9 | + | 5.47651e9i | 0.199408 | + | 0.345385i | 0.948337 | − | 0.317266i | \(-0.102765\pi\) |
−0.748929 | + | 0.662651i | \(0.769431\pi\) | |||||||
\(822\) | 2.40433e8 | − | 4.16443e8i | 0.0150988 | − | 0.0261519i | ||||
\(823\) | 1.08179e10 | − | 1.87372e10i | 0.676462 | − | 1.17167i | −0.299577 | − | 0.954072i | \(-0.596846\pi\) |
0.976039 | − | 0.217595i | \(-0.0698211\pi\) | |||||||
\(824\) | −2.66829e9 | − | 4.62162e9i | −0.166145 | − | 0.287772i | ||||
\(825\) | 1.75262e9 | 0.108667 | ||||||||
\(826\) | −1.03696e8 | + | 1.85701e7i | −0.00640226 | + | 0.00114653i | ||||
\(827\) | 3.87809e9 | 0.238423 | 0.119211 | − | 0.992869i | \(-0.461963\pi\) | ||||
0.119211 | + | 0.992869i | \(0.461963\pi\) | |||||||
\(828\) | −5.14306e9 | − | 8.90804e9i | −0.314858 | − | 0.545351i | ||||
\(829\) | 1.81890e9 | − | 3.15044e9i | 0.110884 | − | 0.192057i | −0.805243 | − | 0.592945i | \(-0.797965\pi\) |
0.916127 | + | 0.400888i | \(0.131298\pi\) | |||||||
\(830\) | 2.76134e9 | − | 4.78278e9i | 0.167628 | − | 0.290340i | ||||
\(831\) | 2.16707e8 | + | 3.75347e8i | 0.0130999 | + | 0.0226897i | ||||
\(832\) | 1.05029e9 | 0.0632234 | ||||||||
\(833\) | 3.88603e9 | − | 2.27486e10i | 0.232942 | − | 1.36363i | ||||
\(834\) | 6.06322e7 | 0.00361928 | ||||||||
\(835\) | 1.61077e9 | + | 2.78994e9i | 0.0957485 | + | 0.165841i | ||||
\(836\) | 4.18145e9 | − | 7.24248e9i | 0.247517 | − | 0.428712i | ||||
\(837\) | 2.90873e8 | − | 5.03807e8i | 0.0171461 | − | 0.0296978i | ||||
\(838\) | −8.19403e9 | − | 1.41925e10i | −0.480998 | − | 0.833113i | ||||
\(839\) | 1.60241e10 | 0.936713 | 0.468357 | − | 0.883540i | \(-0.344846\pi\) | ||||
0.468357 | + | 0.883540i | \(0.344846\pi\) | |||||||
\(840\) | 5.62439e8 | − | 1.00723e8i | 0.0327414 | − | 0.00586340i | ||||
\(841\) | −7.50399e9 | −0.435017 | ||||||||
\(842\) | 7.33793e9 | + | 1.27097e10i | 0.423625 | + | 0.733740i | ||||
\(843\) | 3.27798e8 | − | 5.67762e8i | 0.0188456 | − | 0.0326415i | ||||
\(844\) | 3.31811e9 | − | 5.74713e9i | 0.189973 | − | 0.329043i | ||||
\(845\) | −1.02330e10 | − | 1.77241e10i | −0.583453 | − | 1.01057i | ||||
\(846\) | 1.67834e10 | 0.952982 | ||||||||
\(847\) | 6.17525e9 | + | 7.31959e9i | 0.349191 | + | 0.413899i | ||||
\(848\) | 7.52790e9 | 0.423924 | ||||||||
\(849\) | 8.42313e8 | + | 1.45893e9i | 0.0472386 | + | 0.0818196i | ||||
\(850\) | −1.27747e10 | + | 2.21264e10i | −0.713482 | + | 1.23579i | ||||
\(851\) | −3.69003e9 | + | 6.39132e9i | −0.205247 | + | 0.355498i | ||||
\(852\) | −3.89941e8 | − | 6.75397e8i | −0.0216003 | − | 0.0374129i | ||||
\(853\) | 1.36378e10 | 0.752357 | 0.376178 | − | 0.926547i | \(-0.377238\pi\) | ||||
0.376178 | + | 0.926547i | \(0.377238\pi\) | |||||||
\(854\) | −5.00203e9 | + | 1.38580e10i | −0.274817 | + | 0.761374i | ||||
\(855\) | 2.27700e10 | 1.24590 | ||||||||
\(856\) | 1.00086e9 | + | 1.73354e9i | 0.0545400 | + | 0.0944661i | ||||
\(857\) | −3.30853e9 | + | 5.73054e9i | −0.179557 | + | 0.311002i | −0.941729 | − | 0.336373i | \(-0.890800\pi\) |
0.762172 | + | 0.647375i | \(0.224133\pi\) | |||||||
\(858\) | 2.46458e8 | − | 4.26877e8i | 0.0133210 | − | 0.0230727i | ||||
\(859\) | 1.02440e10 | + | 1.77432e10i | 0.551435 | + | 0.955114i | 0.998171 | + | 0.0604481i | \(0.0192530\pi\) |
−0.446736 | + | 0.894666i | \(0.647414\pi\) | |||||||
\(860\) | −8.40380e9 | −0.450538 | ||||||||
\(861\) | −4.22840e8 | + | 1.17147e9i | −0.0225770 | + | 0.0625489i | ||||
\(862\) | −1.69069e10 | −0.899061 | ||||||||
\(863\) | −1.43901e10 | − | 2.49244e10i | −0.762125 | − | 1.32004i | −0.941753 | − | 0.336305i | \(-0.890823\pi\) |
0.179628 | − | 0.983735i | \(-0.442511\pi\) | |||||||
\(864\) | 2.00715e8 | − | 3.47649e8i | 0.0105872 | − | 0.0183376i | ||||
\(865\) | −2.75482e10 | + | 4.77148e10i | −1.44723 | + | 2.50667i | ||||
\(866\) | −3.39475e9 | − | 5.87988e9i | −0.177622 | − | 0.307649i | ||||
\(867\) | −1.05205e9 | −0.0548238 | ||||||||
\(868\) | −1.77845e9 | − | 2.10802e9i | −0.0923046 | − | 0.109410i | ||||
\(869\) | 9.71410e9 | 0.502150 | ||||||||
\(870\) | −4.85610e8 | − | 8.41101e8i | −0.0250017 | − | 0.0433043i | ||||
\(871\) | 5.94767e9 | − | 1.03017e10i | 0.304988 | − | 0.528255i | ||||
\(872\) | −4.73125e9 | + | 8.19477e9i | −0.241640 | + | 0.418532i | ||||
\(873\) | −1.12762e10 | − | 1.95309e10i | −0.573603 | − | 0.993510i | ||||
\(874\) | 1.40671e10 | 0.712715 | ||||||||
\(875\) | 1.40321e10 | − | 2.51289e9i | 0.708098 | − | 0.126808i | ||||
\(876\) | −2.69551e8 | −0.0135480 | ||||||||
\(877\) | −5.32139e9 | − | 9.21692e9i | −0.266395 | − | 0.461410i | 0.701533 | − | 0.712637i | \(-0.252499\pi\) |
−0.967928 | + | 0.251227i | \(0.919166\pi\) | |||||||
\(878\) | 7.75156e9 | − | 1.34261e10i | 0.386508 | − | 0.669451i | ||||
\(879\) | 1.88151e8 | − | 3.25887e8i | 0.00934427 | − | 0.0161847i | ||||
\(880\) | −4.91963e9 | − | 8.52106e9i | −0.243357 | − | 0.421506i | ||||
\(881\) | −1.92301e10 | −0.947472 | −0.473736 | − | 0.880667i | \(-0.657095\pi\) | ||||
−0.473736 | + | 0.880667i | \(0.657095\pi\) | |||||||
\(882\) | −2.41749e9 | + | 1.41518e10i | −0.118638 | + | 0.694501i | ||||
\(883\) | −3.35009e10 | −1.63755 | −0.818774 | − | 0.574116i | \(-0.805346\pi\) | ||||
−0.818774 | + | 0.574116i | \(0.805346\pi\) | |||||||
\(884\) | 3.59281e9 | + | 6.22293e9i | 0.174925 | + | 0.302979i | ||||
\(885\) | 8.92220e6 | − | 1.54537e7i | 0.000432684 | − | 0.000749430i | ||||
\(886\) | 1.24847e9 | − | 2.16241e9i | 0.0603059 | − | 0.104453i | ||||
\(887\) | 3.47742e8 | + | 6.02306e8i | 0.0167311 | + | 0.0289791i | 0.874270 | − | 0.485440i | \(-0.161341\pi\) |
−0.857539 | + | 0.514420i | \(0.828007\pi\) | |||||||
\(888\) | −1.43749e8 | −0.00688905 | ||||||||
\(889\) | 3.51418e9 | − | 6.29326e8i | 0.167752 | − | 0.0300413i | ||||
\(890\) | 3.08359e10 | 1.46619 | ||||||||
\(891\) | 1.29660e10 | + | 2.24578e10i | 0.614094 | + | 1.06364i | ||||
\(892\) | −7.85487e9 | + | 1.36050e10i | −0.370563 | + | 0.641834i | ||||
\(893\) | −1.14764e10 | + | 1.98777e10i | −0.539294 | + | 0.934085i | ||||
\(894\) | −9.13940e7 | − | 1.58299e8i | −0.00427795 | − | 0.00740963i | ||||
\(895\) | −3.42308e10 | −1.59601 | ||||||||
\(896\) | −1.22721e9 | − | 1.45463e9i | −0.0569956 | − | 0.0675574i | ||||
\(897\) | 8.29129e8 | 0.0383573 | ||||||||
\(898\) | −8.66235e8 | − | 1.50036e9i | −0.0399180 | − | 0.0691399i | ||||
\(899\) | −2.34398e9 | + | 4.05989e9i | −0.107596 | + | 0.186361i | ||||
\(900\) | 7.94708e9 | − | 1.37647e10i | 0.363378 | − | 0.629390i | ||||
\(901\) | 2.57512e10 | + | 4.46025e10i | 1.17290 | + | 2.03152i | ||||
\(902\) | 2.14466e10 | 0.973049 | ||||||||
\(903\) | −2.59000e8 | + | 7.17555e8i | −0.0117056 | + | 0.0324301i | ||||
\(904\) | −4.63940e8 | −0.0208868 | ||||||||
\(905\) | 4.86786e9 | + | 8.43139e9i | 0.218307 | + | 0.378119i | ||||
\(906\) | −5.62987e8 | + | 9.75122e8i | −0.0251507 | + | 0.0435623i | ||||
\(907\) | 7.45722e9 | − | 1.29163e10i | 0.331857 | − | 0.574794i | −0.651019 | − | 0.759062i | \(-0.725658\pi\) |
0.982876 | + | 0.184268i | \(0.0589914\pi\) | |||||||
\(908\) | −1.35134e9 | − | 2.34058e9i | −0.0599050 | − | 0.103758i | ||||
\(909\) | 1.93963e10 | 0.856536 | ||||||||
\(910\) | 4.32821e9 | − | 1.19912e10i | 0.190398 | − | 0.527494i | ||||
\(911\) | 4.82224e7 | 0.00211317 | 0.00105659 | − | 0.999999i | \(-0.499664\pi\) | ||||
0.00105659 | + | 0.999999i | \(0.499664\pi\) | |||||||
\(912\) | 1.37000e8 | + | 2.37291e8i | 0.00598052 | + | 0.0103586i | ||||
\(913\) | −4.31644e9 | + | 7.47630e9i | −0.187706 | + | 0.325116i | ||||
\(914\) | 3.65643e8 | − | 6.33313e8i | 0.0158397 | − | 0.0274351i | ||||
\(915\) | −1.24781e9 | − | 2.16127e9i | −0.0538486 | − | 0.0932685i | ||||
\(916\) | −1.21253e10 | −0.521263 | ||||||||
\(917\) | 1.43813e10 | + | 1.70464e10i | 0.615895 | + | 0.730027i | ||||
\(918\) | 2.74640e9 | 0.117170 | ||||||||
\(919\) | −1.67412e10 | − | 2.89966e10i | −0.711511 | − | 1.23237i | −0.964290 | − | 0.264850i | \(-0.914678\pi\) |
0.252778 | − | 0.967524i | \(-0.418656\pi\) | |||||||
\(920\) | 8.27527e9 | − | 1.43332e10i | 0.350368 | − | 0.606856i | ||||
\(921\) | 6.00918e8 | − | 1.04082e9i | 0.0253458 | − | 0.0439002i | ||||
\(922\) | −8.05748e9 | − | 1.39560e10i | −0.338564 | − | 0.586411i | ||||
\(923\) | −1.74002e10 | −0.728365 | ||||||||
\(924\) | −8.79187e8 | + | 1.57447e8i | −0.0366631 | + | 0.00656570i | ||||
\(925\) | −1.14037e10 | −0.473751 | ||||||||
\(926\) | 1.01507e9 | + | 1.75816e9i | 0.0420107 | + | 0.0727646i | ||||
\(927\) | −1.13565e10 | + | 1.96701e10i | −0.468239 | + | 0.811013i | ||||
\(928\) | −1.61745e9 | + | 2.80150e9i | −0.0664374 | + | 0.115073i | ||||
\(929\) | −1.07021e10 | − | 1.85365e10i | −0.437938 | − | 0.758532i | 0.559592 | − | 0.828768i | \(-0.310958\pi\) |
−0.997530 | + | 0.0702367i | \(0.977625\pi\) | |||||||
\(930\) | 4.67176e8 | 0.0190454 | ||||||||
\(931\) | −1.51079e10 | − | 1.25401e10i | −0.613592 | − | 0.509305i | ||||
\(932\) | 1.94512e10 | 0.787031 | ||||||||
\(933\) | −5.89408e8 | − | 1.02088e9i | −0.0237591 | − | 0.0411520i | ||||
\(934\) | −5.81604e9 | + | 1.00737e10i | −0.233568 | + | 0.404552i | ||||
\(935\) | 3.36579e10 | − | 5.82972e10i | 1.34662 | − | 2.33242i | ||||
\(936\) | −2.23508e9 | − | 3.87127e9i | −0.0890896 | − | 0.154308i | ||||
\(937\) | 1.23173e10 | 0.489132 | 0.244566 | − | 0.969633i | \(-0.421355\pi\) | ||||
0.244566 | + | 0.969633i | \(0.421355\pi\) | |||||||
\(938\) | −2.12171e10 | + | 3.79959e9i | −0.839413 | + | 0.150324i | ||||
\(939\) | −2.85554e9 | −0.112553 | ||||||||
\(940\) | 1.35024e10 | + | 2.33869e10i | 0.530230 | + | 0.918386i | ||||
\(941\) | 1.57825e10 | − | 2.73361e10i | 0.617465 | − | 1.06948i | −0.372482 | − | 0.928039i | \(-0.621493\pi\) |
0.989947 | − | 0.141441i | \(-0.0451735\pi\) | |||||||
\(942\) | −2.73346e8 | + | 4.73448e8i | −0.0106545 | + | 0.0184542i | ||||
\(943\) | 1.80375e10 | + | 3.12419e10i | 0.700464 | + | 1.21324i | ||||
\(944\) | −5.94354e7 | −0.00229955 | ||||||||
\(945\) | −3.14197e9 | − | 3.72421e9i | −0.121113 | − | 0.143557i | ||||
\(946\) | 1.31366e10 | 0.504502 | ||||||||
\(947\) | −5.91852e9 | − | 1.02512e10i | −0.226458 | − | 0.392237i | 0.730298 | − | 0.683129i | \(-0.239381\pi\) |
−0.956756 | + | 0.290892i | \(0.906048\pi\) | |||||||
\(948\) | −1.59135e8 | + | 2.75630e8i | −0.00606649 | + | 0.0105075i | ||||
\(949\) | −3.00703e9 | + | 5.20832e9i | −0.114210 | + | 0.197818i | ||||
\(950\) | 1.08683e10 | + | 1.88245e10i | 0.411273 | + | 0.712345i | ||||
\(951\) | 5.66522e8 | 0.0213592 | ||||||||
\(952\) | 4.42058e9 | − | 1.22471e10i | 0.166054 | − | 0.460049i | ||||
\(953\) | −4.24105e10 | −1.58726 | −0.793630 | − | 0.608400i | \(-0.791812\pi\) | ||||
−0.793630 | + | 0.608400i | \(0.791812\pi\) | |||||||
\(954\) | −1.60198e10 | − | 2.77471e10i | −0.597361 | − | 1.03466i | ||||
\(955\) | 4.02151e10 | − | 6.96546e10i | 1.49409 | − | 2.58784i | ||||
\(956\) | 2.16298e9 | − | 3.74639e9i | 0.0800662 | − | 0.138679i | ||||
\(957\) | 7.59090e8 | + | 1.31478e9i | 0.0279964 | + | 0.0484911i | ||||
\(958\) | −3.52008e10 | −1.29352 | ||||||||
\(959\) | −6.60034e9 | + | 1.82861e10i | −0.241658 | + | 0.669507i | ||||
\(960\) | 3.22372e8 | 0.0117600 | ||||||||
\(961\) | 1.26288e10 | + | 2.18737e10i | 0.459019 | + | 0.795044i | ||||
\(962\) | −1.60362e9 | + | 2.77755e9i | −0.0580749 | + | 0.100589i | ||||
\(963\) | 4.25977e9 | − | 7.37814e9i | 0.153707 | − | 0.266229i | ||||
\(964\) | 7.81400e9 | + | 1.35343e10i | 0.280934 | + | 0.486592i | ||||
\(965\) | −2.17840e10 | −0.780354 | ||||||||
\(966\) | −9.68794e8 | − | 1.14832e9i | −0.0345789 | − | 0.0409868i | ||||
\(967\) | −5.25820e9 | −0.187001 | −0.0935006 | − | 0.995619i | \(-0.529806\pi\) | ||||
−0.0935006 | + | 0.995619i | \(0.529806\pi\) | |||||||
\(968\) | 2.70150e9 | + | 4.67914e9i | 0.0957286 | + | 0.165807i | ||||
\(969\) | −9.37292e8 | + | 1.62344e9i | −0.0330934 | + | 0.0573195i | ||||
\(970\) | 1.81436e10 | − | 3.14256e10i | 0.638295 | − | 1.10556i | ||||
\(971\) | 1.73147e10 | + | 2.99900e10i | 0.606944 | + | 1.05126i | 0.991741 | + | 0.128256i | \(0.0409380\pi\) |
−0.384797 | + | 0.923001i | \(0.625729\pi\) | |||||||
\(972\) | −2.56433e9 | −0.0895659 | ||||||||
\(973\) | −2.41289e9 | + | 4.32106e8i | −0.0839737 | + | 0.0150382i | ||||
\(974\) | −5.45145e9 | −0.189041 | ||||||||
\(975\) | 6.40587e8 | + | 1.10953e9i | 0.0221341 | + | 0.0383374i | ||||
\(976\) | −4.15615e9 | + | 7.19867e9i | −0.143093 | + | 0.247844i | ||||
\(977\) | −2.24932e9 | + | 3.89594e9i | −0.0771650 | + | 0.133654i | −0.902026 | − | 0.431682i | \(-0.857920\pi\) |
0.824861 | + | 0.565336i | \(0.191253\pi\) | |||||||
\(978\) | 1.03738e9 | + | 1.79680e9i | 0.0354612 | + | 0.0614206i | ||||
\(979\) | −4.82017e10 | −1.64181 | ||||||||
\(980\) | −2.16648e10 | + | 8.01664e9i | −0.735297 | + | 0.272083i | ||||
\(981\) | 4.02735e10 | 1.36200 | ||||||||
\(982\) | −1.79718e10 | − | 3.11281e10i | −0.605621 | − | 1.04897i | ||||
\(983\) | 1.06779e10 | − | 1.84947e10i | 0.358551 | − | 0.621028i | −0.629168 | − | 0.777269i | \(-0.716604\pi\) |
0.987719 | + | 0.156241i | \(0.0499377\pi\) | |||||||
\(984\) | −3.51335e8 | + | 6.08530e8i | −0.0117554 | + | 0.0203610i | ||||
\(985\) | 5.80873e9 | + | 1.00610e10i | 0.193666 | + | 0.335440i | ||||
\(986\) | −2.21317e10 | −0.735268 | ||||||||
\(987\) | 2.41302e9 | − | 4.32128e8i | 0.0798823 | − | 0.0143055i | ||||
\(988\) | 6.11332e9 | 0.201664 | ||||||||
\(989\) | 1.10484e10 | + | 1.91365e10i | 0.363173 | + | 0.629035i | ||||
\(990\) | −2.09385e10 | + | 3.62665e10i | −0.685839 | + | 1.18791i | ||||
\(991\) | −1.86484e10 | + | 3.23000e10i | −0.608674 | + | 1.05425i | 0.382785 | + | 0.923837i | \(0.374965\pi\) |
−0.991459 | + | 0.130417i | \(0.958368\pi\) | |||||||
\(992\) | −7.78025e8 | − | 1.34758e9i | −0.0253048 | − | 0.0438292i | ||||
\(993\) | 1.91285e9 | 0.0619953 | ||||||||
\(994\) | 2.03313e10 | + | 2.40989e10i | 0.656617 | + | 0.778295i | ||||
\(995\) | 2.32004e10 | 0.746646 | ||||||||
\(996\) | −1.41423e8 | − | 2.44952e8i | −0.00453537 | − | 0.00785549i | ||||
\(997\) | −5.94162e9 | + | 1.02912e10i | −0.189877 | + | 0.328876i | −0.945209 | − | 0.326466i | \(-0.894142\pi\) |
0.755332 | + | 0.655342i | \(0.227475\pi\) | |||||||
\(998\) | −1.24994e10 | + | 2.16496e10i | −0.398045 | + | 0.689435i | ||||
\(999\) | 6.12916e8 | + | 1.06160e9i | 0.0194501 | + | 0.0336886i |
(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 | 14.8.c.b.11.2 | yes | 4 | |
3.2 | odd | 2 | 126.8.g.d.109.1 | 4 | |||
4.3 | odd | 2 | 112.8.i.b.81.1 | 4 | |||
7.2 | even | 3 | inner | 14.8.c.b.9.2 | ✓ | 4 | |
7.3 | odd | 6 | 98.8.a.d.1.2 | 2 | |||
7.4 | even | 3 | 98.8.a.f.1.1 | 2 | |||
7.5 | odd | 6 | 98.8.c.m.79.1 | 4 | |||
7.6 | odd | 2 | 98.8.c.m.67.1 | 4 | |||
21.2 | odd | 6 | 126.8.g.d.37.1 | 4 | |||
28.23 | odd | 6 | 112.8.i.b.65.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.8.c.b.9.2 | ✓ | 4 | 7.2 | even | 3 | inner | |
14.8.c.b.11.2 | yes | 4 | 1.1 | even | 1 | trivial | |
98.8.a.d.1.2 | 2 | 7.3 | odd | 6 | |||
98.8.a.f.1.1 | 2 | 7.4 | even | 3 | |||
98.8.c.m.67.1 | 4 | 7.6 | odd | 2 | |||
98.8.c.m.79.1 | 4 | 7.5 | odd | 6 | |||
112.8.i.b.65.1 | 4 | 28.23 | odd | 6 | |||
112.8.i.b.81.1 | 4 | 4.3 | odd | 2 | |||
126.8.g.d.37.1 | 4 | 21.2 | odd | 6 | |||
126.8.g.d.109.1 | 4 | 3.2 | odd | 2 |