Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [35,10,Mod(3,35)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(35, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("35.3");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 35 = 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 35.k (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(18.0262542657\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Character | \(\chi\) | \(=\) | 35.3 |
Dual form | 35.10.k.a.12.2 |
$q$-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 \(\left(\mathbb{Z}/35\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −39.0059 | − | 10.4516i | −1.72383 | − | 0.461900i | −0.745086 | − | 0.666968i | \(-0.767592\pi\) |
−0.978748 | + | 0.205068i | \(0.934258\pi\) | |||||||
\(3\) | −2.23944 | − | 8.35771i | −0.0159623 | − | 0.0595719i | 0.957485 | − | 0.288482i | \(-0.0931505\pi\) |
−0.973448 | + | 0.228910i | \(0.926484\pi\) | |||||||
\(4\) | 968.820 | + | 559.349i | 1.89223 | + | 1.09248i | ||||
\(5\) | 42.9502 | − | 1396.88i | 0.0307327 | − | 0.999528i | ||||
\(6\) | 349.406i | 0.110065i | ||||||||
\(7\) | 6351.67 | − | 99.7449i | 0.999877 | − | 0.0157018i | ||||
\(8\) | −17323.8 | − | 17323.8i | −1.49534 | − | 1.49534i | ||||
\(9\) | 16981.1 | − | 9804.07i | 0.862731 | − | 0.498098i | ||||
\(10\) | −16275.0 | + | 54037.8i | −0.514660 | + | 1.70882i | ||||
\(11\) | −36572.6 | + | 63345.5i | −0.753162 | + | 1.30451i | 0.193121 | + | 0.981175i | \(0.438139\pi\) |
−0.946283 | + | 0.323340i | \(0.895194\pi\) | |||||||
\(12\) | 2505.26 | − | 9349.75i | 0.0348768 | − | 0.130162i | ||||
\(13\) | −83277.2 | + | 83277.2i | −0.808688 | + | 0.808688i | −0.984435 | − | 0.175747i | \(-0.943766\pi\) |
0.175747 | + | 0.984435i | \(0.443766\pi\) | |||||||
\(14\) | −248795. | − | 62494.4i | −1.73087 | − | 0.434776i | ||||
\(15\) | −11770.9 | + | 2769.27i | −0.0600344 | + | 0.0141239i | ||||
\(16\) | 208283. | + | 360757.i | 0.794537 | + | 1.37618i | ||||
\(17\) | 204019. | − | 54666.7i | 0.592448 | − | 0.158746i | 0.0498760 | − | 0.998755i | \(-0.484117\pi\) |
0.542572 | + | 0.840010i | \(0.317451\pi\) | |||||||
\(18\) | −764833. | + | 204936.i | −1.71728 | + | 0.460143i | ||||
\(19\) | 470064. | + | 814174.i | 0.827495 | + | 1.43326i | 0.899997 | + | 0.435895i | \(0.143568\pi\) |
−0.0725025 | + | 0.997368i | \(0.523099\pi\) | |||||||
\(20\) | 822955. | − | 1.32930e6i | 1.15011 | − | 1.85776i | ||||
\(21\) | −15057.8 | − | 52862.0i | −0.0168957 | − | 0.0593140i | ||||
\(22\) | 2.08861e6 | − | 2.08861e6i | 1.90088 | − | 1.90088i | ||||
\(23\) | 514101. | − | 1.91865e6i | 0.383066 | − | 1.42962i | −0.458128 | − | 0.888886i | \(-0.651480\pi\) |
0.841193 | − | 0.540735i | \(-0.181854\pi\) | |||||||
\(24\) | −105992. | + | 183583.i | −0.0652111 | + | 0.112949i | ||||
\(25\) | −1.94944e6 | − | 119993.i | −0.998111 | − | 0.0614363i | ||||
\(26\) | 4.11868e6 | − | 2.37792e6i | 1.76758 | − | 1.02051i | ||||
\(27\) | −240394. | − | 240394.i | −0.0870535 | − | 0.0870535i | ||||
\(28\) | 6.20941e6 | + | 3.45616e6i | 1.90915 | + | 1.06263i | ||||
\(29\) | 3.47419e6i | 0.912143i | 0.889943 | + | 0.456072i | \(0.150744\pi\) | ||||
−0.889943 | + | 0.456072i | \(0.849256\pi\) | |||||||
\(30\) | 488079. | + | 15007.1i | 0.110013 | + | 0.00338260i | ||||
\(31\) | 1.49660e6 | + | 864063.i | 0.291057 | + | 0.168042i | 0.638418 | − | 0.769689i | \(-0.279589\pi\) |
−0.347361 | + | 0.937731i | \(0.612922\pi\) | |||||||
\(32\) | −1.10722e6 | − | 4.13219e6i | −0.186663 | − | 0.696634i | ||||
\(33\) | 611326. | + | 163804.i | 0.0897346 | + | 0.0240443i | ||||
\(34\) | −8.52929e6 | −1.09461 | ||||||||
\(35\) | 133474. | − | 8.87681e6i | 0.0150345 | − | 0.999887i | ||||
\(36\) | 2.19356e7 | 2.17664 | ||||||||
\(37\) | 1.43384e7 | + | 3.84196e6i | 1.25774 | + | 0.337011i | 0.825323 | − | 0.564661i | \(-0.190993\pi\) |
0.432421 | + | 0.901672i | \(0.357660\pi\) | |||||||
\(38\) | −9.82583e6 | − | 3.66705e7i | −0.764440 | − | 2.85293i | ||||
\(39\) | 882501. | + | 509512.i | 0.0610836 | + | 0.0352666i | ||||
\(40\) | −2.49434e7 | + | 2.34553e7i | −1.54058 | + | 1.44867i | ||||
\(41\) | 1.48704e7i | 0.821854i | 0.911668 | + | 0.410927i | \(0.134795\pi\) | ||||
−0.911668 | + | 0.410927i | \(0.865205\pi\) | |||||||
\(42\) | 34851.4 | + | 2.21931e6i | 0.00172822 | + | 0.110052i | ||||
\(43\) | 1.16590e7 | + | 1.16590e7i | 0.520061 | + | 0.520061i | 0.917590 | − | 0.397528i | \(-0.130132\pi\) |
−0.397528 | + | 0.917590i | \(0.630132\pi\) | |||||||
\(44\) | −7.08645e7 | + | 4.09136e7i | −2.85031 | + | 1.64563i | ||||
\(45\) | −1.29658e7 | − | 2.41417e7i | −0.471349 | − | 0.877632i | ||||
\(46\) | −4.01060e7 | + | 6.94656e7i | −1.32068 | + | 2.28749i | ||||
\(47\) | 1.43658e7 | − | 5.36138e7i | 0.429426 | − | 1.60264i | −0.324638 | − | 0.945838i | \(-0.605242\pi\) |
0.754064 | − | 0.656801i | \(-0.228091\pi\) | |||||||
\(48\) | 2.54866e6 | − | 2.54866e6i | 0.0692990 | − | 0.0692990i | ||||
\(49\) | 4.03337e7 | − | 1.26709e6i | 0.999507 | − | 0.0313997i | ||||
\(50\) | 7.47854e7 | + | 2.50552e7i | 1.69220 | + | 0.566933i | ||||
\(51\) | −913776. | − | 1.58271e6i | −0.0189136 | − | 0.0327593i | ||||
\(52\) | −1.27262e8 | + | 3.40997e7i | −2.41370 | + | 0.646748i | ||||
\(53\) | 2.53675e6 | − | 679719.i | 0.0441607 | − | 0.0118328i | −0.236671 | − | 0.971590i | \(-0.576056\pi\) |
0.280832 | + | 0.959757i | \(0.409390\pi\) | |||||||
\(54\) | 6.86428e6 | + | 1.18893e7i | 0.109856 | + | 0.190276i | ||||
\(55\) | 8.69155e7 | + | 5.38083e7i | 1.28075 | + | 0.792897i | ||||
\(56\) | −1.11763e8 | − | 1.08307e8i | −1.51863 | − | 1.47167i | ||||
\(57\) | 5.75195e6 | − | 5.75195e6i | 0.0721736 | − | 0.0721736i | ||||
\(58\) | 3.63109e7 | − | 1.35514e8i | 0.421319 | − | 1.57238i | ||||
\(59\) | 2.62607e7 | − | 4.54848e7i | 0.282145 | − | 0.488689i | −0.689768 | − | 0.724030i | \(-0.742288\pi\) |
0.971913 | + | 0.235342i | \(0.0756209\pi\) | |||||||
\(60\) | −1.29529e7 | − | 3.90112e6i | −0.129029 | − | 0.0388606i | ||||
\(61\) | −2.12248e7 | + | 1.22542e7i | −0.196273 | + | 0.113318i | −0.594916 | − | 0.803788i | \(-0.702815\pi\) |
0.398643 | + | 0.917106i | \(0.369481\pi\) | |||||||
\(62\) | −4.93454e7 | − | 4.93454e7i | −0.424116 | − | 0.424116i | ||||
\(63\) | 1.06881e8 | − | 6.39659e7i | 0.854804 | − | 0.511583i | ||||
\(64\) | − | 4.05301e7i | − | 0.301973i | ||||||
\(65\) | 1.12752e8 | + | 1.19905e8i | 0.783453 | + | 0.833159i | ||||
\(66\) | −2.21333e7 | − | 1.27787e7i | −0.143582 | − | 0.0828968i | ||||
\(67\) | 1.15942e7 | + | 4.32701e7i | 0.0702917 | + | 0.262332i | 0.992125 | − | 0.125256i | \(-0.0399751\pi\) |
−0.921833 | + | 0.387588i | \(0.873308\pi\) | |||||||
\(68\) | 2.28235e8 | + | 6.11554e7i | 1.29447 | + | 0.346853i | ||||
\(69\) | −1.71868e7 | −0.0912799 | ||||||||
\(70\) | −9.79832e7 | + | 3.44853e8i | −0.487765 | + | 1.71669i | ||||
\(71\) | 1.14914e8 | 0.536673 | 0.268336 | − | 0.963325i | \(-0.413526\pi\) | ||||
0.268336 | + | 0.963325i | \(0.413526\pi\) | |||||||
\(72\) | −4.64022e8 | − | 1.24334e8i | −2.03490 | − | 0.545249i | ||||
\(73\) | −6.20080e6 | − | 2.31417e7i | −0.0255561 | − | 0.0953767i | 0.951970 | − | 0.306192i | \(-0.0990549\pi\) |
−0.977526 | + | 0.210815i | \(0.932388\pi\) | |||||||
\(74\) | −5.19127e8 | − | 2.99718e8i | −2.01248 | − | 1.16190i | ||||
\(75\) | 3.36278e6 | + | 1.65615e7i | 0.0122722 | + | 0.0604401i | ||||
\(76\) | 1.05172e9i | 3.61608i | ||||||||
\(77\) | −2.25978e8 | + | 4.05998e8i | −0.732586 | + | 1.31618i | ||||
\(78\) | −2.90975e7 | − | 2.90975e7i | −0.0890083 | − | 0.0890083i | ||||
\(79\) | 1.54149e8 | − | 8.89979e7i | 0.445265 | − | 0.257074i | −0.260563 | − | 0.965457i | \(-0.583908\pi\) |
0.705828 | + | 0.708383i | \(0.250575\pi\) | |||||||
\(80\) | 5.12881e8 | − | 2.75452e8i | 1.39995 | − | 0.751868i | ||||
\(81\) | 1.91503e8 | − | 3.31692e8i | 0.494302 | − | 0.856156i | ||||
\(82\) | 1.55419e8 | − | 5.80033e8i | 0.379615 | − | 1.41674i | ||||
\(83\) | 1.56076e8 | − | 1.56076e8i | 0.360982 | − | 0.360982i | −0.503192 | − | 0.864175i | \(-0.667841\pi\) |
0.864175 | + | 0.503192i | \(0.167841\pi\) | |||||||
\(84\) | 1.49800e7 | − | 5.96364e7i | 0.0328287 | − | 0.130694i | ||||
\(85\) | −6.76002e7 | − | 2.87338e8i | −0.140463 | − | 0.597047i | ||||
\(86\) | −3.32916e8 | − | 5.76627e8i | −0.656283 | − | 1.13672i | ||||
\(87\) | 2.90363e7 | − | 7.78025e6i | 0.0543381 | − | 0.0145599i | ||||
\(88\) | 1.73096e9 | − | 4.63810e8i | 3.07692 | − | 0.824457i | ||||
\(89\) | −1.36058e8 | − | 2.35659e8i | −0.229863 | − | 0.398134i | 0.727905 | − | 0.685678i | \(-0.240494\pi\) |
−0.957767 | + | 0.287545i | \(0.907161\pi\) | |||||||
\(90\) | 2.53422e8 | + | 1.07718e9i | 0.407149 | + | 1.73061i | ||||
\(91\) | −5.20643e8 | + | 5.37255e8i | −0.795891 | + | 0.821286i | ||||
\(92\) | 1.57127e9 | − | 1.57127e9i | 2.28668 | − | 2.28668i | ||||
\(93\) | 3.87004e6 | − | 1.44432e7i | 0.00536465 | − | 0.0200212i | ||||
\(94\) | −1.12070e9 | + | 1.94111e9i | −1.48052 | + | 2.56433i | ||||
\(95\) | 1.15749e9 | − | 6.21655e8i | 1.45802 | − | 0.783056i | ||||
\(96\) | −3.20561e7 | + | 1.85076e7i | −0.0385203 | + | 0.0222397i | ||||
\(97\) | −3.93410e8 | − | 3.93410e8i | −0.451203 | − | 0.451203i | 0.444550 | − | 0.895754i | \(-0.353363\pi\) |
−0.895754 | + | 0.444550i | \(0.853363\pi\) | |||||||
\(98\) | −1.58650e9 | − | 3.72128e8i | −1.73749 | − | 0.407544i | ||||
\(99\) | 1.43424e9i | 1.50059i | ||||||||
\(100\) | −1.82153e9 | − | 1.20667e9i | −1.82153 | − | 1.20667i | ||||
\(101\) | 1.05845e9 | + | 6.11096e8i | 1.01210 | + | 0.584337i | 0.911806 | − | 0.410620i | \(-0.134688\pi\) |
0.100295 | + | 0.994958i | \(0.468021\pi\) | |||||||
\(102\) | 1.91009e7 | + | 7.12854e7i | 0.0174724 | + | 0.0652078i | ||||
\(103\) | 4.10057e8 | + | 1.09874e8i | 0.358985 | + | 0.0961898i | 0.433804 | − | 0.901007i | \(-0.357171\pi\) |
−0.0748185 | + | 0.997197i | \(0.523838\pi\) | |||||||
\(104\) | 2.88536e9 | 2.41852 | ||||||||
\(105\) | −7.44887e7 | + | 1.87636e7i | −0.0598052 | + | 0.0150648i | ||||
\(106\) | −1.06052e8 | −0.0815912 | ||||||||
\(107\) | −1.10910e9 | − | 2.97183e8i | −0.817984 | − | 0.219178i | −0.174519 | − | 0.984654i | \(-0.555837\pi\) |
−0.643465 | + | 0.765476i | \(0.722504\pi\) | |||||||
\(108\) | −9.84344e7 | − | 3.67362e8i | −0.0696210 | − | 0.259829i | ||||
\(109\) | −2.72971e8 | − | 1.57600e8i | −0.185224 | − | 0.106939i | 0.404521 | − | 0.914529i | \(-0.367438\pi\) |
−0.589745 | + | 0.807590i | \(0.700772\pi\) | |||||||
\(110\) | −2.82783e9 | − | 3.00725e9i | −1.84156 | − | 1.95840i | ||||
\(111\) | − | 1.28440e8i | − | 0.0803057i | ||||||
\(112\) | 1.35893e9 | + | 2.27063e9i | 0.816048 | + | 1.36353i | ||||
\(113\) | 3.68340e8 | + | 3.68340e8i | 0.212518 | + | 0.212518i | 0.805336 | − | 0.592818i | \(-0.201985\pi\) |
−0.592818 | + | 0.805336i | \(0.701985\pi\) | |||||||
\(114\) | −2.84477e8 | + | 1.64243e8i | −0.157752 | + | 0.0910783i | ||||
\(115\) | −2.65805e9 | − | 8.00545e8i | −1.41717 | − | 0.426821i | ||||
\(116\) | −1.94329e9 | + | 3.36587e9i | −0.996496 | + | 1.72598i | ||||
\(117\) | −5.97687e8 | + | 2.23060e9i | −0.294875 | + | 1.10049i | ||||
\(118\) | −1.49971e9 | + | 1.49971e9i | −0.712096 | + | 0.712096i | ||||
\(119\) | 1.29041e9 | − | 3.67574e8i | 0.589882 | − | 0.168029i | ||||
\(120\) | 2.51892e8 | + | 1.55943e8i | 0.110891 | + | 0.0686515i | ||||
\(121\) | −1.49613e9 | − | 2.59138e9i | −0.634506 | − | 1.09900i | ||||
\(122\) | 9.55970e8 | − | 2.56151e8i | 0.390683 | − | 0.104683i | ||||
\(123\) | 1.24282e8 | − | 3.33014e7i | 0.0489595 | − | 0.0131186i | ||||
\(124\) | 9.66624e8 | + | 1.67424e9i | 0.367164 | + | 0.635947i | ||||
\(125\) | −2.51345e8 | + | 2.71798e9i | −0.0920820 | + | 0.995751i | ||||
\(126\) | −4.83752e9 | + | 1.37798e9i | −1.70984 | + | 0.487051i | ||||
\(127\) | 1.68604e9 | − | 1.68604e9i | 0.575112 | − | 0.575112i | −0.358441 | − | 0.933553i | \(-0.616691\pi\) |
0.933553 | + | 0.358441i | \(0.116691\pi\) | |||||||
\(128\) | −9.90499e8 | + | 3.69659e9i | −0.326144 | + | 1.21719i | ||||
\(129\) | 7.13331e7 | − | 1.23553e8i | 0.0226797 | − | 0.0392824i | ||||
\(130\) | −3.14478e9 | − | 5.85545e9i | −0.965707 | − | 1.79811i | ||||
\(131\) | 2.20166e9 | − | 1.27113e9i | 0.653174 | − | 0.377110i | −0.136497 | − | 0.990640i | \(-0.543584\pi\) |
0.789671 | + | 0.613530i | \(0.210251\pi\) | |||||||
\(132\) | 5.00641e8 | + | 5.00641e8i | 0.143530 | + | 0.143530i | ||||
\(133\) | 3.06690e9 | + | 5.12447e9i | 0.849898 | + | 1.42009i | ||||
\(134\) | − | 1.80897e9i | − | 0.484685i | ||||||
\(135\) | −3.46127e8 | + | 3.25477e8i | −0.0896878 | + | 0.0843370i | ||||
\(136\) | −4.48142e9 | − | 2.58735e9i | −1.12329 | − | 0.648530i | ||||
\(137\) | 1.03214e9 | + | 3.85200e9i | 0.250320 | + | 0.934208i | 0.970634 | + | 0.240560i | \(0.0773310\pi\) |
−0.720314 | + | 0.693648i | \(0.756002\pi\) | |||||||
\(138\) | 6.70388e8 | + | 1.79630e8i | 0.157351 | + | 0.0421622i | ||||
\(139\) | 1.11876e9 | 0.254198 | 0.127099 | − | 0.991890i | \(-0.459433\pi\) | ||||
0.127099 | + | 0.991890i | \(0.459433\pi\) | |||||||
\(140\) | 5.09455e9 | − | 8.52538e9i | 1.12080 | − | 1.87559i | ||||
\(141\) | −4.80260e8 | −0.102327 | ||||||||
\(142\) | −4.48232e9 | − | 1.20103e9i | −0.925134 | − | 0.247889i | ||||
\(143\) | −2.22958e9 | − | 8.32090e9i | −0.445872 | − | 1.66402i | ||||
\(144\) | 7.07377e9 | + | 4.08404e9i | 1.37094 | + | 0.791515i | ||||
\(145\) | 4.85304e9 | + | 1.49217e8i | 0.911712 | + | 0.0280326i | ||||
\(146\) | 9.67471e8i | 0.176218i | ||||||||
\(147\) | −1.00915e8 | − | 3.34260e8i | −0.0178249 | − | 0.0590413i | ||||
\(148\) | 1.17423e10 | + | 1.17423e10i | 2.01176 | + | 2.01176i | ||||
\(149\) | 5.12506e9 | − | 2.95896e9i | 0.851846 | − | 0.491813i | −0.00942735 | − | 0.999956i | \(-0.503001\pi\) |
0.861273 | + | 0.508142i | \(0.169668\pi\) | |||||||
\(150\) | 4.19262e7 | − | 6.81144e8i | 0.00676200 | − | 0.109857i | ||||
\(151\) | −3.51842e9 | + | 6.09408e9i | −0.550746 | + | 0.953920i | 0.447475 | + | 0.894296i | \(0.352323\pi\) |
−0.998221 | + | 0.0596234i | \(0.981010\pi\) | |||||||
\(152\) | 5.96131e9 | − | 2.22479e10i | 0.905827 | − | 3.38059i | ||||
\(153\) | 2.92852e9 | − | 2.92852e9i | 0.432052 | − | 0.432052i | ||||
\(154\) | 1.30578e10 | − | 1.34745e10i | 1.87080 | − | 1.93049i | ||||
\(155\) | 1.27127e9 | − | 2.05346e9i | 0.176907 | − | 0.285755i | ||||
\(156\) | 5.69990e8 | + | 9.87252e8i | 0.0770560 | + | 0.133465i | ||||
\(157\) | 4.72348e9 | − | 1.26565e9i | 0.620460 | − | 0.166252i | 0.0651229 | − | 0.997877i | \(-0.479256\pi\) |
0.555337 | + | 0.831626i | \(0.312589\pi\) | |||||||
\(158\) | −6.94289e9 | + | 1.86034e9i | −0.886305 | + | 0.237485i | ||||
\(159\) | −1.13618e7 | − | 1.96792e7i | −0.00140981 | − | 0.00244186i | ||||
\(160\) | −5.81973e9 | + | 1.36917e9i | −0.702042 | + | 0.165165i | ||||
\(161\) | 3.07402e9 | − | 1.22379e10i | 0.360571 | − | 1.43546i | ||||
\(162\) | −1.09365e10 | + | 1.09365e10i | −1.24755 | + | 1.24755i | ||||
\(163\) | −2.92896e9 | + | 1.09310e10i | −0.324989 | + | 1.21288i | 0.589333 | + | 0.807890i | \(0.299391\pi\) |
−0.914323 | + | 0.404987i | \(0.867276\pi\) | |||||||
\(164\) | −8.31773e9 | + | 1.44067e10i | −0.897858 | + | 1.55514i | ||||
\(165\) | 2.55072e8 | − | 8.46915e8i | 0.0267907 | − | 0.0889533i | ||||
\(166\) | −7.71915e9 | + | 4.45666e9i | −0.789011 | + | 0.455536i | ||||
\(167\) | −2.55209e9 | − | 2.55209e9i | −0.253905 | − | 0.253905i | 0.568664 | − | 0.822570i | \(-0.307460\pi\) |
−0.822570 | + | 0.568664i | \(0.807460\pi\) | |||||||
\(168\) | −6.54913e8 | + | 1.17663e9i | −0.0634296 | + | 0.113959i | ||||
\(169\) | − | 3.26569e9i | − | 0.307953i | ||||||
\(170\) | −3.66335e8 | + | 1.19144e10i | −0.0336402 | + | 1.09409i | ||||
\(171\) | 1.59644e10 | + | 9.21707e9i | 1.42781 | + | 0.824348i | ||||
\(172\) | 4.77404e9 | + | 1.78170e10i | 0.415919 | + | 1.55223i | ||||
\(173\) | −1.48349e10 | − | 3.97500e9i | −1.25915 | − | 0.337388i | −0.433285 | − | 0.901257i | \(-0.642646\pi\) |
−0.825865 | + | 0.563868i | \(0.809312\pi\) | |||||||
\(174\) | −1.21390e9 | −0.100395 | ||||||||
\(175\) | −1.23941e10 | − | 5.67708e8i | −0.998953 | − | 0.0457566i | ||||
\(176\) | −3.04698e10 | −2.39366 | ||||||||
\(177\) | −4.38958e8 | − | 1.17618e8i | −0.0336158 | − | 0.00900732i | ||||
\(178\) | 2.84404e9 | + | 1.06141e10i | 0.212347 | + | 0.792490i | ||||
\(179\) | 7.27026e9 | + | 4.19749e9i | 0.529312 | + | 0.305598i | 0.740736 | − | 0.671796i | \(-0.234477\pi\) |
−0.211424 | + | 0.977394i | \(0.567810\pi\) | |||||||
\(180\) | 9.42138e8 | − | 3.06414e10i | 0.0668941 | − | 2.17562i | ||||
\(181\) | 6.25708e9i | 0.433330i | 0.976246 | + | 0.216665i | \(0.0695179\pi\) | ||||
−0.976246 | + | 0.216665i | \(0.930482\pi\) | |||||||
\(182\) | 2.59233e10 | − | 1.55146e10i | 1.75134 | − | 1.04814i | ||||
\(183\) | 1.49949e8 | + | 1.49949e8i | 0.00988354 | + | 0.00988354i | ||||
\(184\) | −4.21446e10 | + | 2.43322e10i | −2.71057 | + | 1.56495i | ||||
\(185\) | 5.98260e9 | − | 1.98640e10i | 0.375506 | − | 1.24679i | ||||
\(186\) | −3.01909e8 | + | 5.22921e8i | −0.0184955 | + | 0.0320352i | ||||
\(187\) | −3.99860e9 | + | 1.49230e10i | −0.239123 | + | 0.892418i | ||||
\(188\) | 4.39066e10 | − | 4.39066e10i | 2.56342 | − | 2.56342i | ||||
\(189\) | −1.55088e9 | − | 1.50292e9i | −0.0884097 | − | 0.0856759i | ||||
\(190\) | −5.16464e10 | + | 1.21505e10i | −2.87507 | + | 0.676401i | ||||
\(191\) | 3.26030e9 | + | 5.64701e9i | 0.177259 | + | 0.307021i | 0.940941 | − | 0.338571i | \(-0.109944\pi\) |
−0.763682 | + | 0.645593i | \(0.776610\pi\) | |||||||
\(192\) | −3.38739e8 | + | 9.07649e7i | −0.0179891 | + | 0.00482017i | ||||
\(193\) | 1.48534e10 | − | 3.97996e9i | 0.770580 | − | 0.206476i | 0.147952 | − | 0.988994i | \(-0.452732\pi\) |
0.622628 | + | 0.782518i | \(0.286065\pi\) | |||||||
\(194\) | 1.12335e10 | + | 1.94571e10i | 0.569389 | + | 0.986211i | ||||
\(195\) | 7.49632e8 | − | 1.21087e9i | 0.0371272 | − | 0.0599709i | ||||
\(196\) | 3.97849e10 | + | 2.13330e10i | 1.92560 | + | 1.03252i | ||||
\(197\) | −9.59171e9 | + | 9.59171e9i | −0.453731 | + | 0.453731i | −0.896591 | − | 0.442860i | \(-0.853964\pi\) |
0.442860 | + | 0.896591i | \(0.353964\pi\) | |||||||
\(198\) | 1.49901e10 | − | 5.59438e10i | 0.693124 | − | 2.58678i | ||||
\(199\) | −2.01507e9 | + | 3.49020e9i | −0.0910858 | + | 0.157765i | −0.907968 | − | 0.419039i | \(-0.862367\pi\) |
0.816882 | + | 0.576804i | \(0.195700\pi\) | |||||||
\(200\) | 3.16929e10 | + | 3.58504e10i | 1.40064 | + | 1.58438i | ||||
\(201\) | 3.35675e8 | − | 1.93802e8i | 0.0145056 | − | 0.00837483i | ||||
\(202\) | −3.48989e10 | − | 3.48989e10i | −1.47479 | − | 1.47479i | ||||
\(203\) | 3.46533e8 | + | 2.20669e10i | 0.0143223 | + | 0.912031i | ||||
\(204\) | − | 2.04448e9i | − | 0.0826507i | ||||||
\(205\) | 2.07722e10 | + | 6.38687e8i | 0.821466 | + | 0.0252578i | ||||
\(206\) | −1.48463e10 | − | 8.57150e9i | −0.574401 | − | 0.331631i | ||||
\(207\) | −1.00806e10 | − | 3.76212e10i | −0.381609 | − | 1.42418i | ||||
\(208\) | −4.73881e10 | − | 1.26976e10i | −1.75543 | − | 0.470367i | ||||
\(209\) | −6.87657e10 | −2.49295 | ||||||||
\(210\) | 3.10161e9 | + | 4.66365e7i | 0.110053 | + | 0.00165478i | ||||
\(211\) | −1.00183e10 | −0.347955 | −0.173977 | − | 0.984750i | \(-0.555662\pi\) | ||||
−0.173977 | + | 0.984750i | \(0.555662\pi\) | |||||||
\(212\) | 2.83785e9 | + | 7.60400e8i | 0.0964891 | + | 0.0258542i | ||||
\(213\) | −2.57343e8 | − | 9.60416e8i | −0.00856650 | − | 0.0319706i | ||||
\(214\) | 4.01555e10 | + | 2.31838e10i | 1.30883 | + | 0.755654i | ||||
\(215\) | 1.67871e10 | − | 1.57855e10i | 0.535799 | − | 0.503833i | ||||
\(216\) | 8.32907e9i | 0.260348i | ||||||||
\(217\) | 9.59209e9 | + | 5.33896e9i | 0.293660 | + | 0.163451i | ||||
\(218\) | 9.00031e9 | + | 9.00031e9i | 0.269900 | + | 0.269900i | ||||
\(219\) | −1.79525e8 | + | 1.03649e8i | −0.00527384 | + | 0.00304485i | ||||
\(220\) | 5.41079e10 | + | 1.00747e11i | 1.55725 | + | 2.89953i | ||||
\(221\) | −1.24376e10 | + | 2.15426e10i | −0.350730 | + | 0.607481i | ||||
\(222\) | −1.34240e9 | + | 5.00991e9i | −0.0370932 | + | 0.138434i | ||||
\(223\) | 2.76355e10 | − | 2.76355e10i | 0.748333 | − | 0.748333i | −0.225833 | − | 0.974166i | \(-0.572510\pi\) |
0.974166 | + | 0.225833i | \(0.0725105\pi\) | |||||||
\(224\) | −7.44483e9 | − | 2.61358e10i | −0.197578 | − | 0.693618i | ||||
\(225\) | −3.42801e10 | + | 1.70748e10i | −0.891703 | + | 0.444154i | ||||
\(226\) | −1.05177e10 | − | 1.82172e10i | −0.268184 | − | 0.464508i | ||||
\(227\) | −7.35250e10 | + | 1.97010e10i | −1.83789 | + | 0.492460i | −0.998681 | − | 0.0513520i | \(-0.983647\pi\) |
−0.839207 | + | 0.543812i | \(0.816980\pi\) | |||||||
\(228\) | 8.78995e9 | − | 2.35526e9i | 0.215417 | − | 0.0577208i | ||||
\(229\) | −2.52046e10 | − | 4.36556e10i | −0.605647 | − | 1.04901i | −0.991949 | − | 0.126639i | \(-0.959581\pi\) |
0.386302 | − | 0.922372i | \(-0.373752\pi\) | |||||||
\(230\) | 9.53127e10 | + | 5.90069e10i | 2.24582 | + | 1.39036i | ||||
\(231\) | 3.89928e9 | + | 9.79453e8i | 0.0901011 | + | 0.0226324i | ||||
\(232\) | 6.01863e10 | − | 6.01863e10i | 1.36396 | − | 1.36396i | ||||
\(233\) | −1.61470e10 | + | 6.02615e10i | −0.358914 | + | 1.33949i | 0.516573 | + | 0.856243i | \(0.327208\pi\) |
−0.875487 | + | 0.483242i | \(0.839459\pi\) | |||||||
\(234\) | 4.66266e10 | − | 8.07597e10i | 1.01663 | − | 1.76085i | ||||
\(235\) | −7.42751e10 | − | 2.23700e10i | −1.58869 | − | 0.478477i | ||||
\(236\) | 5.08837e10 | − | 2.93777e10i | 1.06776 | − | 0.616473i | ||||
\(237\) | −1.08903e9 | − | 1.08903e9i | −0.0224218 | − | 0.0224218i | ||||
\(238\) | −5.41752e10 | + | 8.50753e8i | −1.09447 | + | 0.0171873i | ||||
\(239\) | − | 3.18362e10i | − | 0.631147i | −0.948901 | − | 0.315574i | \(-0.897803\pi\) | ||
0.948901 | − | 0.315574i | \(-0.102197\pi\) | |||||||
\(240\) | −3.45072e9 | − | 3.66965e9i | −0.0671366 | − | 0.0713960i | ||||
\(241\) | 1.98688e10 | + | 1.14713e10i | 0.379398 | + | 0.219045i | 0.677556 | − | 0.735471i | \(-0.263039\pi\) |
−0.298158 | + | 0.954516i | \(0.596372\pi\) | |||||||
\(242\) | 3.12739e10 | + | 1.16716e11i | 0.586156 | + | 2.18757i | ||||
\(243\) | −9.66463e9 | − | 2.58963e9i | −0.177810 | − | 0.0476441i | ||||
\(244\) | −2.74174e10 | −0.495190 | ||||||||
\(245\) | −3.76365e7 | − | 5.63959e10i | −0.000667363 | − | 1.00000i | ||||
\(246\) | −5.19580e9 | −0.0904575 | ||||||||
\(247\) | −1.06948e11 | − | 2.86566e10i | −1.82825 | − | 0.489878i | ||||
\(248\) | −1.09580e10 | − | 4.08957e10i | −0.183949 | − | 0.686507i | ||||
\(249\) | −1.65397e9 | − | 9.54918e8i | −0.0272665 | − | 0.0157423i | ||||
\(250\) | 3.82112e10 | − | 1.03390e11i | 0.618672 | − | 1.67398i | ||||
\(251\) | 6.67930e9i | 0.106218i | 0.998589 | + | 0.0531091i | \(0.0169131\pi\) | ||||
−0.998589 | + | 0.0531091i | \(0.983087\pi\) | |||||||
\(252\) | 1.39327e11 | − | 2.18796e9i | 2.17638 | − | 0.0341772i | ||||
\(253\) | 1.02736e11 | + | 1.02736e11i | 1.57645 | + | 1.57645i | ||||
\(254\) | −8.33876e10 | + | 4.81438e10i | −1.25704 | + | 0.725753i | ||||
\(255\) | −2.25010e9 | + | 1.20846e9i | −0.0333251 | + | 0.0178979i | ||||
\(256\) | 6.68949e10 | − | 1.15865e11i | 0.973450 | − | 1.68606i | ||||
\(257\) | −2.07643e10 | + | 7.74933e10i | −0.296905 | + | 1.10807i | 0.642787 | + | 0.766045i | \(0.277778\pi\) |
−0.939692 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(258\) | −4.07374e9 | + | 4.07374e9i | −0.0572406 | + | 0.0572406i | ||||
\(259\) | 9.14558e10 | + | 2.29726e10i | 1.26288 | + | 0.317221i | ||||
\(260\) | 4.21673e10 | + | 1.79234e11i | 0.572263 | + | 2.43243i | ||||
\(261\) | 3.40612e10 | + | 5.89958e10i | 0.454337 | + | 0.786934i | ||||
\(262\) | −9.91630e10 | + | 2.65707e10i | −1.30015 | + | 0.348375i | ||||
\(263\) | −1.17394e11 | + | 3.14557e10i | −1.51303 | + | 0.405414i | −0.917439 | − | 0.397876i | \(-0.869747\pi\) |
−0.595588 | + | 0.803290i | \(0.703081\pi\) | |||||||
\(264\) | −7.75278e9 | − | 1.34282e10i | −0.0982290 | − | 0.170138i | ||||
\(265\) | −8.40534e8 | − | 3.57273e9i | −0.0104701 | − | 0.0445035i | ||||
\(266\) | −6.60681e10 | − | 2.31939e11i | −0.809142 | − | 2.84057i | ||||
\(267\) | −1.66488e9 | + | 1.66488e9i | −0.0200485 | + | 0.0200485i | ||||
\(268\) | −1.29704e10 | + | 4.84062e10i | −0.153584 | + | 0.573184i | ||||
\(269\) | 4.77454e10 | − | 8.26975e10i | 0.555964 | − | 0.962958i | −0.441864 | − | 0.897082i | \(-0.645683\pi\) |
0.997828 | − | 0.0658756i | \(-0.0209840\pi\) | |||||||
\(270\) | 1.69027e10 | − | 9.07794e9i | 0.193562 | − | 0.103956i | ||||
\(271\) | 9.81082e10 | − | 5.66428e10i | 1.10495 | − | 0.637944i | 0.167435 | − | 0.985883i | \(-0.446452\pi\) |
0.937517 | + | 0.347939i | \(0.113118\pi\) | |||||||
\(272\) | 6.22151e10 | + | 6.22151e10i | 0.689184 | + | 0.689184i | ||||
\(273\) | 5.65617e9 | + | 3.14823e9i | 0.0616298 | + | 0.0343032i | ||||
\(274\) | − | 1.61038e11i | − | 1.72604i | ||||||
\(275\) | 7.88969e10 | − | 1.19100e11i | 0.831884 | − | 1.25578i | ||||
\(276\) | −1.66510e10 | − | 9.61343e9i | −0.172722 | − | 0.0997212i | ||||
\(277\) | −1.35836e10 | − | 5.06945e10i | −0.138629 | − | 0.517371i | −0.999957 | − | 0.00932078i | \(-0.997033\pi\) |
0.861327 | − | 0.508050i | \(-0.169634\pi\) | |||||||
\(278\) | −4.36384e10 | − | 1.16929e10i | −0.438195 | − | 0.117414i | ||||
\(279\) | 3.38853e10 | 0.334805 | ||||||||
\(280\) | −1.56093e11 | + | 1.51468e11i | −1.51765 | + | 1.47268i | ||||
\(281\) | 6.33592e10 | 0.606222 | 0.303111 | − | 0.952955i | \(-0.401975\pi\) | ||||
0.303111 | + | 0.952955i | \(0.401975\pi\) | |||||||
\(282\) | 1.87330e10 | + | 5.01948e9i | 0.176395 | + | 0.0472648i | ||||
\(283\) | −4.73693e10 | − | 1.76785e11i | −0.438994 | − | 1.63835i | −0.731325 | − | 0.682029i | \(-0.761098\pi\) |
0.292331 | − | 0.956317i | \(-0.405569\pi\) | |||||||
\(284\) | 1.11331e11 | + | 6.42768e10i | 1.01551 | + | 0.586303i | ||||
\(285\) | −7.78775e9 | − | 8.28185e9i | −0.0699214 | − | 0.0743576i | ||||
\(286\) | 3.47867e11i | 3.07444i | ||||||||
\(287\) | 1.48324e9 | + | 9.44517e10i | 0.0129046 | + | 0.821753i | ||||
\(288\) | −5.93140e10 | − | 5.93140e10i | −0.508032 | − | 0.508032i | ||||
\(289\) | −6.40649e10 | + | 3.69879e10i | −0.540231 | + | 0.311903i | ||||
\(290\) | −1.87738e11 | − | 5.65424e10i | −1.55869 | − | 0.469443i | ||||
\(291\) | −2.40699e9 | + | 4.16902e9i | −0.0196768 | + | 0.0340813i | ||||
\(292\) | 6.93682e9 | − | 2.58886e10i | 0.0558390 | − | 0.208394i | ||||
\(293\) | −5.78945e10 | + | 5.78945e10i | −0.458916 | + | 0.458916i | −0.898300 | − | 0.439384i | \(-0.855197\pi\) |
0.439384 | + | 0.898300i | \(0.355197\pi\) | |||||||
\(294\) | 4.42729e8 | + | 1.40928e10i | 0.00345601 | + | 0.110011i | ||||
\(295\) | −6.24090e10 | − | 3.86366e10i | −0.479787 | − | 0.297030i | ||||
\(296\) | −1.81838e11 | − | 3.14953e11i | −1.37680 | − | 2.38469i | ||||
\(297\) | 2.40197e10 | − | 6.43606e9i | 0.179128 | − | 0.0479972i | ||||
\(298\) | −2.30834e11 | + | 6.18517e10i | −1.69561 | + | 0.454337i | ||||
\(299\) | 1.16967e11 | + | 2.02593e11i | 0.846337 | + | 1.46590i | ||||
\(300\) | −6.00574e9 | + | 1.79261e10i | −0.0428076 | + | 0.127773i | ||||
\(301\) | 7.52172e10 | + | 7.28914e10i | 0.528163 | + | 0.511831i | ||||
\(302\) | 2.00932e11 | − | 2.00932e11i | 1.39001 | − | 1.39001i | ||||
\(303\) | 2.73703e9 | − | 1.02147e10i | 0.0186547 | − | 0.0696202i | ||||
\(304\) | −1.95813e11 | + | 3.39157e11i | −1.31495 | + | 2.27756i | ||||
\(305\) | 1.62060e10 | + | 3.01749e10i | 0.107233 | + | 0.199663i | ||||
\(306\) | −1.44837e11 | + | 8.36218e10i | −0.944351 | + | 0.545221i | ||||
\(307\) | 1.12857e11 | + | 1.12857e11i | 0.725110 | + | 0.725110i | 0.969641 | − | 0.244531i | \(-0.0786340\pi\) |
−0.244531 | + | 0.969641i | \(0.578634\pi\) | |||||||
\(308\) | −4.46027e11 | + | 2.66938e11i | −2.82412 | + | 1.69018i | ||||
\(309\) | − | 3.67319e9i | − | 0.0229209i | ||||||
\(310\) | −7.10491e10 | + | 6.68103e10i | −0.436949 | + | 0.410881i | ||||
\(311\) | 1.23031e11 | + | 7.10320e10i | 0.745749 | + | 0.430559i | 0.824156 | − | 0.566363i | \(-0.191650\pi\) |
−0.0784067 | + | 0.996921i | \(0.524983\pi\) | |||||||
\(312\) | −6.46159e9 | − | 2.41150e10i | −0.0386050 | − | 0.144076i | ||||
\(313\) | 8.15479e10 | + | 2.18507e10i | 0.480245 | + | 0.128681i | 0.490817 | − | 0.871263i | \(-0.336698\pi\) |
−0.0105716 | + | 0.999944i | \(0.503365\pi\) | |||||||
\(314\) | −1.97472e11 | −1.14636 | ||||||||
\(315\) | −8.47623e10 | − | 1.52047e11i | −0.485071 | − | 0.870123i | ||||
\(316\) | 1.99123e11 | 1.12339 | ||||||||
\(317\) | 1.99515e11 | + | 5.34600e10i | 1.10971 | + | 0.297346i | 0.766713 | − | 0.641990i | \(-0.221891\pi\) |
0.342998 | + | 0.939336i | \(0.388558\pi\) | |||||||
\(318\) | 2.37498e8 | + | 8.86354e8i | 0.00130238 | + | 0.00486055i | ||||
\(319\) | −2.20075e11 | − | 1.27060e11i | −1.18990 | − | 0.686991i | ||||
\(320\) | −5.66158e10 | − | 1.74078e9i | −0.301830 | − | 0.00928044i | ||||
\(321\) | 9.93509e9i | 0.0522275i | ||||||||
\(322\) | −2.47811e11 | + | 4.45223e11i | −1.28460 | + | 2.30795i | ||||
\(323\) | 1.40410e11 | + | 1.40410e11i | 0.717772 | + | 0.717772i | ||||
\(324\) | 3.71063e11 | − | 2.14233e11i | 1.87066 | − | 1.08003i | ||||
\(325\) | 1.72336e11 | − | 1.52351e11i | 0.856843 | − | 0.757478i | ||||
\(326\) | 2.28493e11 | − | 3.95762e11i | 1.12046 | − | 1.94069i | ||||
\(327\) | −7.05871e8 | + | 2.63435e9i | −0.00341398 | + | 0.0127411i | ||||
\(328\) | 2.57612e11 | − | 2.57612e11i | 1.22895 | − | 1.22895i | ||||
\(329\) | 8.58988e10 | − | 3.41970e11i | 0.404209 | − | 1.60918i | ||||
\(330\) | −1.88009e10 | + | 3.03688e10i | −0.0872703 | + | 0.140966i | ||||
\(331\) | −1.51185e11 | − | 2.61860e11i | −0.692281 | − | 1.19907i | −0.971089 | − | 0.238719i | \(-0.923273\pi\) |
0.278808 | − | 0.960347i | \(-0.410061\pi\) | |||||||
\(332\) | 2.38511e11 | − | 6.39089e10i | 1.07743 | − | 0.288695i | ||||
\(333\) | 2.81149e11 | − | 7.53336e10i | 1.25296 | − | 0.335730i | ||||
\(334\) | 7.28731e10 | + | 1.26220e11i | 0.320411 | + | 0.554969i | ||||
\(335\) | 6.09413e10 | − | 1.43373e10i | 0.264369 | − | 0.0621963i | ||||
\(336\) | 1.59341e10 | − | 1.64425e10i | 0.0682024 | − | 0.0703786i | ||||
\(337\) | −1.54585e11 | + | 1.54585e11i | −0.652878 | + | 0.652878i | −0.953685 | − | 0.300807i | \(-0.902744\pi\) |
0.300807 | + | 0.953685i | \(0.402744\pi\) | |||||||
\(338\) | −3.41317e10 | + | 1.27381e11i | −0.142244 | + | 0.530860i | ||||
\(339\) | 2.25360e9 | − | 3.90336e9i | 0.00926785 | − | 0.0160524i | ||||
\(340\) | 9.52297e10 | − | 3.16191e11i | 0.386471 | − | 1.28320i | ||||
\(341\) | −1.09469e11 | + | 6.32020e10i | −0.438426 | + | 0.253126i | ||||
\(342\) | −5.26374e11 | − | 5.26374e11i | −2.08054 | − | 2.08054i | ||||
\(343\) | 2.56060e11 | − | 1.20712e10i | 0.998891 | − | 0.0470899i | ||||
\(344\) | − | 4.03958e11i | − | 1.55533i | ||||||
\(345\) | −7.38179e8 | + | 2.40080e10i | −0.00280528 | + | 0.0912368i | ||||
\(346\) | 5.37104e11 | + | 3.10097e11i | 2.01473 | + | 1.16320i | ||||
\(347\) | −1.62024e10 | − | 6.04683e10i | −0.0599926 | − | 0.223895i | 0.929420 | − | 0.369023i | \(-0.120308\pi\) |
−0.989413 | + | 0.145127i | \(0.953641\pi\) | |||||||
\(348\) | 3.24828e10 | + | 8.70375e9i | 0.118726 | + | 0.0318126i | ||||
\(349\) | 5.17296e11 | 1.86649 | 0.933243 | − | 0.359245i | \(-0.116966\pi\) | ||||
0.933243 | + | 0.359245i | \(0.116966\pi\) | |||||||
\(350\) | 4.77511e11 | + | 1.51683e11i | 1.70089 | + | 0.540293i | ||||
\(351\) | 4.00386e10 | 0.140798 | ||||||||
\(352\) | 3.02249e11 | + | 8.09874e10i | 1.04936 | + | 0.281174i | ||||
\(353\) | −8.21978e9 | − | 3.06766e10i | −0.0281757 | − | 0.105153i | 0.950406 | − | 0.311012i | \(-0.100668\pi\) |
−0.978582 | + | 0.205859i | \(0.934001\pi\) | |||||||
\(354\) | 1.58927e10 | + | 9.17563e9i | 0.0537876 | + | 0.0310543i | ||||
\(355\) | 4.93557e9 | − | 1.60521e11i | 0.0164934 | − | 0.536419i | ||||
\(356\) | − | 3.04415e11i | − | 1.00448i | ||||||
\(357\) | −5.96187e9 | − | 9.96168e9i | −0.0194256 | − | 0.0324583i | ||||
\(358\) | −2.39713e11 | − | 2.39713e11i | −0.771290 | − | 0.771290i | ||||
\(359\) | −5.12777e11 | + | 2.96052e11i | −1.62931 | + | 0.940682i | −0.645010 | + | 0.764174i | \(0.723147\pi\) |
−0.984299 | + | 0.176507i | \(0.943520\pi\) | |||||||
\(360\) | −1.93610e11 | + | 6.42844e11i | −0.607529 | + | 2.01718i | ||||
\(361\) | −2.80576e11 | + | 4.85971e11i | −0.869496 | + | 1.50601i | ||||
\(362\) | 6.53965e10 | − | 2.44063e11i | 0.200155 | − | 0.746988i | ||||
\(363\) | −1.83075e10 | + | 1.83075e10i | −0.0553412 | + | 0.0553412i | ||||
\(364\) | −8.04922e11 | + | 2.29283e11i | −2.40324 | + | 0.684567i | ||||
\(365\) | −3.25926e10 | + | 7.66785e9i | −0.0961171 | + | 0.0226129i | ||||
\(366\) | −4.28168e9 | − | 7.41608e9i | −0.0124724 | − | 0.0216028i | ||||
\(367\) | −3.71699e11 | + | 9.95965e10i | −1.06953 | + | 0.286580i | −0.750301 | − | 0.661096i | \(-0.770091\pi\) |
−0.319232 | + | 0.947677i | \(0.603425\pi\) | |||||||
\(368\) | 7.99246e11 | − | 2.14157e11i | 2.27177 | − | 0.608720i | ||||
\(369\) | 1.45790e11 | + | 2.52516e11i | 0.409364 | + | 0.709040i | ||||
\(370\) | −4.40967e11 | + | 7.12286e11i | −1.22320 | + | 1.97582i | ||||
\(371\) | 1.60448e10 | − | 4.57038e9i | 0.0439694 | − | 0.0125248i | ||||
\(372\) | 1.18281e10 | − | 1.18281e10i | 0.0320238 | − | 0.0320238i | ||||
\(373\) | −7.32956e10 | + | 2.73543e11i | −0.196060 | + | 0.731705i | 0.795930 | + | 0.605388i | \(0.206982\pi\) |
−0.991990 | + | 0.126316i | \(0.959685\pi\) | |||||||
\(374\) | 3.11938e11 | − | 5.40293e11i | 0.824416 | − | 1.42793i | ||||
\(375\) | 2.32789e10 | − | 3.98609e9i | 0.0607887 | − | 0.0104089i | ||||
\(376\) | −1.17766e12 | + | 6.79925e11i | −3.03862 | + | 1.75435i | ||||
\(377\) | −2.89321e11 | − | 2.89321e11i | −0.737639 | − | 0.737639i | ||||
\(378\) | 4.47855e10 | + | 7.48320e10i | 0.112830 | + | 0.188527i | ||||
\(379\) | 1.05524e11i | 0.262708i | 0.991336 | + | 0.131354i | \(0.0419324\pi\) | ||||
−0.991336 | + | 0.131354i | \(0.958068\pi\) | |||||||
\(380\) | 1.46913e12 | + | 4.51715e10i | 3.61437 | + | 0.111132i | ||||
\(381\) | −1.78673e10 | − | 1.03157e10i | −0.0434406 | − | 0.0250804i | ||||
\(382\) | −6.81508e10 | − | 2.54342e11i | −0.163752 | − | 0.611130i | ||||
\(383\) | −4.11220e10 | − | 1.10186e10i | −0.0976517 | − | 0.0261657i | 0.209662 | − | 0.977774i | \(-0.432764\pi\) |
−0.307314 | + | 0.951608i | \(0.599430\pi\) | |||||||
\(384\) | 3.31132e10 | 0.0777161 | ||||||||
\(385\) | 5.57425e11 | + | 3.33103e11i | 1.29304 | + | 0.772690i | ||||
\(386\) | −6.20967e11 | −1.42372 | ||||||||
\(387\) | 3.12290e11 | + | 8.36778e10i | 0.707715 | + | 0.189632i | ||||
\(388\) | −1.61090e11 | − | 6.01197e11i | −0.360850 | − | 1.34671i | ||||
\(389\) | −7.14031e11 | − | 4.12246e11i | −1.58104 | − | 0.912816i | −0.994708 | − | 0.102747i | \(-0.967237\pi\) |
−0.586335 | − | 0.810068i | \(-0.699430\pi\) | |||||||
\(390\) | −4.18956e10 | + | 3.93961e10i | −0.0917018 | + | 0.0862308i | ||||
\(391\) | − | 4.19545e11i | − | 0.907786i | ||||||
\(392\) | −7.20685e11 | − | 6.76783e11i | −1.54155 | − | 1.44765i | ||||
\(393\) | −1.55542e10 | − | 1.55542e10i | −0.0328913 | − | 0.0328913i | ||||
\(394\) | 4.74382e11 | − | 2.73885e11i | 0.991734 | − | 0.572578i | ||||
\(395\) | −1.17699e11 | − | 2.19150e11i | −0.243268 | − | 0.452955i | ||||
\(396\) | −8.02240e11 | + | 1.38952e12i | −1.63937 | + | 2.83946i | ||||
\(397\) | 3.92796e10 | − | 1.46593e11i | 0.0793614 | − | 0.296181i | −0.914825 | − | 0.403850i | \(-0.867672\pi\) |
0.994187 | + | 0.107669i | \(0.0343386\pi\) | |||||||
\(398\) | 1.15078e11 | − | 1.15078e11i | 0.229889 | − | 0.229889i | ||||
\(399\) | 3.59607e10 | − | 3.71082e10i | 0.0710314 | − | 0.0732979i | ||||
\(400\) | −3.62746e11 | − | 7.28265e11i | −0.708489 | − | 1.42239i | ||||
\(401\) | 2.57062e11 | + | 4.45244e11i | 0.496464 | + | 0.859901i | 0.999992 | − | 0.00407832i | \(-0.00129817\pi\) |
−0.503528 | + | 0.863979i | \(0.667965\pi\) | |||||||
\(402\) | −1.51188e10 | + | 4.05108e9i | −0.0288736 | + | 0.00773666i | ||||
\(403\) | −1.96589e11 | + | 5.26760e10i | −0.371268 | + | 0.0994809i | ||||
\(404\) | 6.83632e11 | + | 1.18409e12i | 1.27675 | + | 2.21140i | ||||
\(405\) | −4.55110e11 | − | 2.81753e11i | −0.840560 | − | 0.520380i | ||||
\(406\) | 2.17118e11 | − | 8.64362e11i | 0.396578 | − | 1.57880i | ||||
\(407\) | −7.67762e11 | + | 7.67762e11i | −1.38692 | + | 1.38692i | ||||
\(408\) | −1.15884e10 | + | 4.32486e10i | −0.0207040 | + | 0.0772683i | ||||
\(409\) | −2.64051e10 | + | 4.57350e10i | −0.0466587 | + | 0.0808153i | −0.888412 | − | 0.459048i | \(-0.848191\pi\) |
0.841753 | + | 0.539863i | \(0.181524\pi\) | |||||||
\(410\) | −8.03563e11 | − | 2.42015e11i | −1.40440 | − | 0.422975i | ||||
\(411\) | 2.98825e10 | − | 1.72527e10i | 0.0516569 | − | 0.0298241i | ||||
\(412\) | 3.35813e11 | + | 3.35813e11i | 0.574196 | + | 0.574196i | ||||
\(413\) | 1.62262e11 | − | 2.91524e11i | 0.274436 | − | 0.493059i | ||||
\(414\) | 1.57281e12i | 2.63132i | ||||||||
\(415\) | −2.11317e11 | − | 2.24724e11i | −0.349718 | − | 0.371906i | ||||
\(416\) | 4.36323e11 | + | 2.51911e11i | 0.714312 | + | 0.412408i | ||||
\(417\) | −2.50541e9 | − | 9.35030e9i | −0.00405757 | − | 0.0151430i | ||||
\(418\) | 2.68227e12 | + | 7.18712e11i | 4.29743 | + | 1.15149i | ||||
\(419\) | −1.00043e12 | −1.58572 | −0.792858 | − | 0.609407i | \(-0.791408\pi\) | ||||
−0.792858 | + | 0.609407i | \(0.791408\pi\) | |||||||
\(420\) | −8.26616e10 | − | 2.34866e10i | −0.129623 | − | 0.0368298i | ||||
\(421\) | 1.25128e12 | 1.94126 | 0.970632 | − | 0.240569i | \(-0.0773340\pi\) | ||||
0.970632 | + | 0.240569i | \(0.0773340\pi\) | |||||||
\(422\) | 3.90773e11 | + | 1.04707e11i | 0.599816 | + | 0.160720i | ||||
\(423\) | −2.81686e11 | − | 1.05127e12i | −0.427793 | − | 1.59654i | ||||
\(424\) | −5.57215e10 | − | 3.21708e10i | −0.0837291 | − | 0.0483410i | ||||
\(425\) | −4.04281e11 | + | 8.20884e10i | −0.601081 | + | 0.122048i | ||||
\(426\) | 4.01515e10i | 0.0590689i | ||||||||
\(427\) | −1.33591e11 | + | 7.99514e10i | −0.194469 | + | 0.116386i | ||||
\(428\) | −9.08292e11 | − | 9.08292e11i | −1.30836 | − | 1.30836i | ||||
\(429\) | −6.45507e10 | + | 3.72683e10i | −0.0920117 | + | 0.0531230i | ||||
\(430\) | −8.19779e11 | + | 4.40278e11i | −1.15635 | + | 0.621039i | ||||
\(431\) | −3.38727e10 | + | 5.86692e10i | −0.0472826 | + | 0.0818959i | −0.888698 | − | 0.458493i | \(-0.848389\pi\) |
0.841415 | + | 0.540389i | \(0.181723\pi\) | |||||||
\(432\) | 3.66538e10 | − | 1.36794e11i | 0.0506339 | − | 0.188968i | ||||
\(433\) | 1.32923e11 | − | 1.32923e11i | 0.181721 | − | 0.181721i | −0.610384 | − | 0.792105i | \(-0.708985\pi\) |
0.792105 | + | 0.610384i | \(0.208985\pi\) | |||||||
\(434\) | −3.18348e11 | − | 3.08504e11i | −0.430723 | − | 0.417404i | ||||
\(435\) | −9.62098e9 | − | 4.08945e10i | −0.0128830 | − | 0.0547599i | ||||
\(436\) | −1.76306e11 | − | 3.05372e11i | −0.233657 | − | 0.404706i | ||||
\(437\) | 1.80378e12 | − | 4.83320e11i | 2.36601 | − | 0.633970i | ||||
\(438\) | 8.08585e9 | − | 2.16660e9i | 0.0104976 | − | 0.00281284i | ||||
\(439\) | −1.54008e11 | − | 2.66750e11i | −0.197903 | − | 0.342779i | 0.749945 | − | 0.661500i | \(-0.230080\pi\) |
−0.947848 | + | 0.318721i | \(0.896747\pi\) | |||||||
\(440\) | −5.73543e11 | − | 2.43787e12i | −0.729506 | − | 3.10080i | ||||
\(441\) | 6.72490e11 | − | 4.16951e11i | 0.846666 | − | 0.524942i | ||||
\(442\) | 7.10296e11 | − | 7.10296e11i | 0.885195 | − | 0.885195i | ||||
\(443\) | −2.22734e11 | + | 8.31256e11i | −0.274771 | + | 1.02546i | 0.681224 | + | 0.732075i | \(0.261448\pi\) |
−0.955995 | + | 0.293383i | \(0.905219\pi\) | |||||||
\(444\) | 7.18426e10 | − | 1.24435e11i | 0.0877322 | − | 0.151957i | ||||
\(445\) | −3.35032e11 | + | 1.79935e11i | −0.405010 | + | 0.217518i | ||||
\(446\) | −1.36678e12 | + | 7.89111e11i | −1.63566 | + | 0.944346i | ||||
\(447\) | −3.62074e10 | − | 3.62074e10i | −0.0428957 | − | 0.0428957i | ||||
\(448\) | −4.04267e9 | − | 2.57434e11i | −0.00474152 | − | 0.301936i | ||||
\(449\) | 9.98153e11i | 1.15901i | 0.814967 | + | 0.579507i | \(0.196755\pi\) | ||||
−0.814967 | + | 0.579507i | \(0.803245\pi\) | |||||||
\(450\) | 1.51558e12 | − | 3.07736e11i | 1.74230 | − | 0.353771i | ||||
\(451\) | −9.41973e11 | − | 5.43848e11i | −1.07212 | − | 0.618989i | ||||
\(452\) | 1.50825e11 | + | 5.62886e11i | 0.169961 | + | 0.634304i | ||||
\(453\) | 5.88118e10 | + | 1.57586e10i | 0.0656180 | + | 0.0175823i | ||||
\(454\) | 3.07382e12 | 3.39568 | ||||||||
\(455\) | 7.28121e11 | + | 7.50352e11i | 0.796439 | + | 0.820755i | ||||
\(456\) | −1.99291e11 | −0.215847 | ||||||||
\(457\) | 6.57872e11 | + | 1.76276e11i | 0.705535 | + | 0.189047i | 0.593708 | − | 0.804680i | \(-0.297663\pi\) |
0.111826 | + | 0.993728i | \(0.464330\pi\) | |||||||
\(458\) | 5.26856e11 | + | 1.96625e12i | 0.559497 | + | 2.08807i | ||||
\(459\) | −6.21864e10 | − | 3.59033e10i | −0.0653940 | − | 0.0377553i | ||||
\(460\) | −2.12739e12 | − | 2.26236e12i | −2.21532 | − | 2.35587i | ||||
\(461\) | 1.79010e12i | 1.84596i | 0.384846 | + | 0.922981i | \(0.374255\pi\) | ||||
−0.384846 | + | 0.922981i | \(0.625745\pi\) | |||||||
\(462\) | −1.41858e11 | − | 7.89582e10i | −0.144865 | − | 0.0806321i | ||||
\(463\) | −5.36805e11 | − | 5.36805e11i | −0.542877 | − | 0.542877i | 0.381494 | − | 0.924371i | \(-0.375410\pi\) |
−0.924371 | + | 0.381494i | \(0.875410\pi\) | |||||||
\(464\) | −1.25334e12 | + | 7.23616e11i | −1.25527 | + | 0.724732i | ||||
\(465\) | −2.00092e10 | − | 6.02632e9i | −0.0198468 | − | 0.00597742i | ||||
\(466\) | 1.25966e12 | − | 2.18179e12i | 1.23742 | − | 2.14327i | ||||
\(467\) | 2.31286e11 | − | 8.63172e11i | 0.225021 | − | 0.839791i | −0.757375 | − | 0.652981i | \(-0.773518\pi\) |
0.982396 | − | 0.186811i | \(-0.0598151\pi\) | |||||||
\(468\) | −1.82673e12 | + | 1.82673e12i | −1.76023 | + | 1.76023i | ||||
\(469\) | 7.79585e10 | + | 2.73681e11i | 0.0744021 | + | 0.261196i | ||||
\(470\) | 2.66337e12 | + | 1.64886e12i | 2.51762 | + | 1.55863i | ||||
\(471\) | −2.11559e10 | − | 3.66431e10i | −0.0198079 | − | 0.0343082i | ||||
\(472\) | −1.24291e12 | + | 3.33035e11i | −1.15265 | + | 0.308853i | ||||
\(473\) | −1.16495e12 | + | 3.12147e11i | −1.07012 | + | 0.286737i | ||||
\(474\) | 3.10964e10 | + | 5.38605e10i | 0.0282949 | + | 0.0490081i | ||||
\(475\) | −8.18664e11 | − | 1.64358e12i | −0.737877 | − | 1.48139i | ||||
\(476\) | 1.45577e12 | + | 3.65674e11i | 1.29976 | + | 0.326484i | ||||
\(477\) | 3.64128e10 | − | 3.64128e10i | 0.0322049 | − | 0.0322049i | ||||
\(478\) | −3.32739e11 | + | 1.24180e12i | −0.291527 | + | 1.08799i | ||||
\(479\) | 8.34044e11 | − | 1.44461e12i | 0.723901 | − | 1.25383i | −0.235523 | − | 0.971869i | \(-0.575680\pi\) |
0.959425 | − | 0.281965i | \(-0.0909862\pi\) | |||||||
\(480\) | 2.44761e10 | + | 4.55735e10i | 0.0210454 | + | 0.0391856i | ||||
\(481\) | −1.51401e12 | + | 8.74112e11i | −1.28966 | + | 0.744585i | ||||
\(482\) | −6.55108e11 | − | 6.55108e11i | −0.552842 | − | 0.552842i | ||||
\(483\) | −1.09165e11 | + | 1.71430e9i | −0.0912686 | + | 0.00143326i | ||||
\(484\) | − | 3.34744e12i | − | 2.77273i | ||||||
\(485\) | −5.66444e11 | + | 5.32650e11i | −0.464857 | + | 0.437124i | ||||
\(486\) | 3.49912e11 | + | 2.02022e11i | 0.284509 | + | 0.164261i | ||||
\(487\) | −7.20374e10 | − | 2.68847e11i | −0.0580334 | − | 0.216584i | 0.930820 | − | 0.365479i | \(-0.119095\pi\) |
−0.988853 | + | 0.148896i | \(0.952428\pi\) | |||||||
\(488\) | 5.79984e11 | + | 1.55406e11i | 0.462942 | + | 0.124045i | ||||
\(489\) | 9.79176e10 | 0.0774410 | ||||||||
\(490\) | −5.87959e11 | + | 2.20017e12i | −0.460749 | + | 1.72414i | ||||
\(491\) | −1.73175e12 | −1.34468 | −0.672339 | − | 0.740244i | \(-0.734710\pi\) | ||||
−0.672339 | + | 0.740244i | \(0.734710\pi\) | |||||||
\(492\) | 1.39034e11 | + | 3.72541e10i | 0.106974 | + | 0.0286637i | ||||
\(493\) | 1.89923e11 | + | 7.08801e11i | 0.144799 | + | 0.540397i | ||||
\(494\) | 3.87209e12 | + | 2.23555e12i | 2.92532 | + | 1.68894i | ||||
\(495\) | 2.00346e12 | + | 6.16009e10i | 1.49989 | + | 0.0461173i | ||||
\(496\) | 7.19879e11i | 0.534062i | ||||||||
\(497\) | 7.29894e11 | − | 1.14621e10i | 0.536606 | − | 0.00842672i | ||||
\(498\) | 5.45340e10 | + | 5.45340e10i | 0.0397316 | + | 0.0397316i | ||||
\(499\) | −5.23630e11 | + | 3.02318e11i | −0.378070 | + | 0.218279i | −0.676978 | − | 0.736003i | \(-0.736711\pi\) |
0.298908 | + | 0.954282i | \(0.403378\pi\) | |||||||
\(500\) | −1.76381e12 | + | 2.49264e12i | −1.26208 | + | 1.78359i | ||||
\(501\) | −1.56144e10 | + | 2.70449e10i | −0.0110727 | + | 0.0191785i | ||||
\(502\) | 6.98094e10 | − | 2.60532e11i | 0.0490622 | − | 0.183103i | ||||
\(503\) | 8.52175e11 | − | 8.52175e11i | 0.593572 | − | 0.593572i | −0.345023 | − | 0.938594i | \(-0.612129\pi\) |
0.938594 | + | 0.345023i | \(0.112129\pi\) | |||||||
\(504\) | −2.95971e12 | − | 7.43446e11i | −2.04321 | − | 0.513230i | ||||
\(505\) | 8.99090e11 | − | 1.45228e12i | 0.615166 | − | 0.993665i | ||||
\(506\) | −2.93356e12 | − | 5.08107e12i | −1.98938 | − | 3.44570i | ||||
\(507\) | −2.72937e10 | + | 7.31332e9i | −0.0183454 | + | 0.00491562i | ||||
\(508\) | 2.57656e12 | − | 6.90387e11i | 1.71654 | − | 0.459945i | ||||
\(509\) | −2.85483e11 | − | 4.94471e11i | −0.188517 | − | 0.326521i | 0.756239 | − | 0.654296i | \(-0.227035\pi\) |
−0.944756 | + | 0.327774i | \(0.893701\pi\) | |||||||
\(510\) | 1.00398e11 | − | 2.36199e10i | 0.0657140 | − | 0.0154601i | ||||
\(511\) | −4.16937e10 | − | 1.46370e11i | −0.0270506 | − | 0.0949637i | ||||
\(512\) | −2.43476e12 | + | 2.43476e12i | −1.56582 | + | 1.56582i | ||||
\(513\) | 8.27220e10 | − | 3.08723e11i | 0.0527343 | − | 0.196807i | ||||
\(514\) | 1.61986e12 | − | 2.80568e12i | 1.02363 | − | 1.77298i | ||||
\(515\) | 1.71094e11 | − | 5.68082e11i | 0.107177 | − | 0.355860i | ||||
\(516\) | 1.38218e11 | − | 7.98002e10i | 0.0858303 | − | 0.0495542i | ||||
\(517\) | 2.87080e12 | + | 2.87080e12i | 1.76724 | + | 1.76724i | ||||
\(518\) | −3.32721e12 | − | 1.85193e12i | −2.03047 | − | 1.13016i | ||||
\(519\) | 1.32888e11i | 0.0803955i | ||||||||
\(520\) | 1.23927e11 | − | 4.03051e12i | 0.0743276 | − | 2.41738i | ||||
\(521\) | 1.76380e12 | + | 1.01833e12i | 1.04877 | + | 0.605506i | 0.922304 | − | 0.386466i | \(-0.126304\pi\) |
0.126463 | + | 0.991971i | \(0.459638\pi\) | |||||||
\(522\) | −7.11989e11 | − | 2.65718e12i | −0.419716 | − | 1.56640i | ||||
\(523\) | 1.94222e12 | + | 5.20417e11i | 1.13512 | + | 0.304154i | 0.776987 | − | 0.629517i | \(-0.216747\pi\) |
0.358132 | + | 0.933671i | \(0.383414\pi\) | |||||||
\(524\) | 2.84402e12 | 1.64794 | ||||||||
\(525\) | 2.30112e10 | + | 1.04858e11i | 0.0132197 | + | 0.0602399i | ||||
\(526\) | 4.90784e12 | 2.79547 | ||||||||
\(527\) | 3.52570e11 | + | 9.44708e10i | 0.199112 | + | 0.0533519i | ||||
\(528\) | 6.82353e10 | + | 2.54658e11i | 0.0382082 | + | 0.142595i | ||||
\(529\) | −1.85708e12 | − | 1.07219e12i | −1.03105 | − | 0.595278i | ||||
\(530\) | −4.55497e9 | + | 1.48143e11i | −0.00250752 | + | 0.0815527i | ||||
\(531\) | − | 1.02985e12i | − | 0.562143i | ||||||
\(532\) | 1.04903e11 | + | 6.68016e12i | 0.0567789 | + | 3.61563i | ||||
\(533\) | −1.23836e12 | − | 1.23836e12i | −0.664624 | − | 0.664624i | ||||
\(534\) | 8.23406e10 | − | 4.75394e10i | 0.0438206 | − | 0.0252999i | ||||
\(535\) | −4.62766e11 | + | 1.53652e12i | −0.244213 | + | 0.810862i | ||||
\(536\) | 5.48748e11 | − | 9.50460e11i | 0.287165 | − | 0.497384i | ||||
\(537\) | 1.88001e10 | − | 7.01628e10i | 0.00975607 | − | 0.0364102i | ||||
\(538\) | −2.72668e12 | + | 2.72668e12i | −1.40318 | + | 1.40318i | ||||
\(539\) | −1.39484e12 | + | 2.60130e12i | −0.711829 | + | 1.32752i | ||||
\(540\) | −5.17389e11 | + | 1.21723e11i | −0.261846 | + | 0.0616028i | ||||
\(541\) | −1.59265e12 | − | 2.75855e12i | −0.799343 | − | 1.38450i | −0.920045 | − | 0.391813i | \(-0.871848\pi\) |
0.120702 | − | 0.992689i | \(-0.461485\pi\) | |||||||
\(542\) | −4.41881e12 | + | 1.18402e12i | −2.19942 | + | 0.589333i | ||||
\(543\) | 5.22949e10 | − | 1.40124e10i | 0.0258143 | − | 0.00691692i | ||||
\(544\) | −4.51786e11 | − | 7.82516e11i | −0.221176 | − | 0.383087i | ||||
\(545\) | −2.31873e11 | + | 3.74539e11i | −0.112581 | + | 0.181850i | ||||
\(546\) | −1.87720e11 | − | 1.81916e11i | −0.0903950 | − | 0.0875998i | ||||
\(547\) | 9.09916e11 | − | 9.09916e11i | 0.434569 | − | 0.434569i | −0.455611 | − | 0.890179i | \(-0.650579\pi\) |
0.890179 | + | 0.455611i | \(0.150579\pi\) | |||||||
\(548\) | −1.15465e12 | + | 4.30922e12i | −0.546939 | + | 2.04120i | ||||
\(549\) | −2.40281e11 | + | 4.16179e11i | −0.112887 | + | 0.195526i | ||||
\(550\) | −4.32223e12 | + | 3.82099e12i | −2.01407 | + | 1.78051i | ||||
\(551\) | −2.82860e12 | + | 1.63309e12i | −1.30734 | + | 0.754794i | ||||
\(552\) | 2.97742e11 | + | 2.97742e11i | 0.136494 | + | 0.136494i | ||||
\(553\) | 9.70225e11 | − | 5.80661e11i | 0.441174 | − | 0.264034i | ||||
\(554\) | 2.11936e12i | 0.955895i | ||||||||
\(555\) | −1.79415e11 | − | 5.51652e9i | −0.0802677 | − | 0.00246801i | ||||
\(556\) | 1.08388e12 | + | 6.25779e11i | 0.481000 | + | 0.277705i | ||||
\(557\) | 1.68036e11 | + | 6.27117e11i | 0.0739695 | + | 0.276058i | 0.992998 | − | 0.118134i | \(-0.0376912\pi\) |
−0.919028 | + | 0.394192i | \(0.871025\pi\) | |||||||
\(558\) | −1.32173e12 | − | 3.54156e11i | −0.577149 | − | 0.154647i | ||||
\(559\) | −1.94186e12 | −0.841135 | ||||||||
\(560\) | 3.23017e12 | − | 1.80074e12i | 1.38797 | − | 0.773757i | ||||
\(561\) | 1.33677e11 | 0.0569800 | ||||||||
\(562\) | −2.47138e12 | − | 6.62205e11i | −1.04503 | − | 0.280014i | ||||
\(563\) | −1.06421e12 | − | 3.97167e12i | −0.446414 | − | 1.66604i | −0.712177 | − | 0.702000i | \(-0.752290\pi\) |
0.265763 | − | 0.964038i | \(-0.414376\pi\) | |||||||
\(564\) | −4.65285e11 | − | 2.68633e11i | −0.193626 | − | 0.111790i | ||||
\(565\) | 5.30348e11 | − | 4.98708e11i | 0.218949 | − | 0.205887i | ||||
\(566\) | 7.39073e12i | 3.02701i | ||||||||
\(567\) | 1.18328e12 | − | 2.12590e12i | 0.480798 | − | 0.863812i | ||||
\(568\) | −1.99074e12 | − | 1.99074e12i | −0.802506 | − | 0.802506i | ||||
\(569\) | −3.08914e12 | + | 1.78351e12i | −1.23547 | + | 0.713299i | −0.968165 | − | 0.250314i | \(-0.919466\pi\) |
−0.267304 | + | 0.963612i | \(0.586133\pi\) | |||||||
\(570\) | 2.17210e11 | + | 4.04435e11i | 0.0861871 | + | 0.160477i | ||||
\(571\) | −3.87173e11 | + | 6.70603e11i | −0.152420 | + | 0.263999i | −0.932117 | − | 0.362158i | \(-0.882040\pi\) |
0.779697 | + | 0.626158i | \(0.215373\pi\) | |||||||
\(572\) | 2.49422e12 | − | 9.30857e12i | 0.974211 | − | 3.63581i | ||||
\(573\) | 3.98948e10 | − | 3.98948e10i | 0.0154604 | − | 0.0154604i | ||||
\(574\) | 9.29317e11 | − | 3.69968e12i | 0.357322 | − | 1.42253i | ||||
\(575\) | −1.23243e12 | + | 3.67860e12i | −0.470173 | + | 1.40339i | ||||
\(576\) | −3.97360e11 | − | 6.88248e11i | −0.150412 | − | 0.260522i | ||||
\(577\) | 1.59356e12 | − | 4.26993e11i | 0.598518 | − | 0.160372i | 0.0531745 | − | 0.998585i | \(-0.483066\pi\) |
0.545343 | + | 0.838213i | \(0.316399\pi\) | |||||||
\(578\) | 2.88549e12 | − | 7.73165e11i | 1.07534 | − | 0.288136i | ||||
\(579\) | −6.65266e10 | − | 1.15228e11i | −0.0246004 | − | 0.0426091i | ||||
\(580\) | 4.61826e12 | + | 2.85911e12i | 1.69454 | + | 1.04907i | ||||
\(581\) | 9.75778e11 | − | 1.00691e12i | 0.355270 | − | 0.366606i | ||||
\(582\) | 1.37460e11 | − | 1.37460e11i | 0.0496617 | − | 0.0496617i | ||||
\(583\) | −4.97182e10 | + | 1.85551e11i | −0.0178241 | + | 0.0665203i | ||||
\(584\) | −2.93481e11 | + | 5.08324e11i | −0.104405 | + | 0.180835i | ||||
\(585\) | 3.09021e12 | + | 9.30703e11i | 1.09090 | + | 0.328556i | ||||
\(586\) | 2.86332e12 | − | 1.65314e12i | 1.00307 | − | 0.579122i | ||||
\(587\) | −6.29587e11 | − | 6.29587e11i | −0.218869 | − | 0.218869i | 0.589153 | − | 0.808022i | \(-0.299462\pi\) |
−0.808022 | + | 0.589153i | \(0.799462\pi\) | |||||||
\(588\) | 8.91993e10 | − | 3.80284e11i | 0.0307726 | − | 0.131193i | ||||
\(589\) | 1.62466e12i | 0.556215i | ||||||||
\(590\) | 2.03051e12 | + | 2.15933e12i | 0.689875 | + | 0.733644i | ||||
\(591\) | 1.01645e11 | + | 5.86847e10i | 0.0342722 | + | 0.0197870i | ||||
\(592\) | 1.60043e12 | + | 5.97288e12i | 0.535536 | + | 1.99865i | ||||
\(593\) | 6.03000e10 | + | 1.61573e10i | 0.0200249 | + | 0.00536567i | 0.268818 | − | 0.963191i | \(-0.413367\pi\) |
−0.248793 | + | 0.968557i | \(0.580034\pi\) | |||||||
\(594\) | −1.00418e12 | −0.330957 | ||||||||
\(595\) | −4.58035e11 | − | 1.81833e12i | −0.149821 | − | 0.594767i | ||||
\(596\) | 6.62035e12 | 2.14918 | ||||||||
\(597\) | 3.36827e10 | + | 9.02525e9i | 0.0108523 | + | 0.00290787i | ||||
\(598\) | −2.44499e12 | − | 9.12481e12i | −0.781846 | − | 2.91789i | ||||
\(599\) | 1.08217e12 | + | 6.24793e11i | 0.343460 | + | 0.198297i | 0.661801 | − | 0.749680i | \(-0.269792\pi\) |
−0.318341 | + | 0.947976i | \(0.603126\pi\) | |||||||
\(600\) | 2.28653e11 | − | 3.45165e11i | 0.0720271 | − | 0.108729i | ||||
\(601\) | − | 4.60882e12i | − | 1.44097i | −0.693471 | − | 0.720485i | \(-0.743919\pi\) | ||
0.693471 | − | 0.720485i | \(-0.256081\pi\) | |||||||
\(602\) | −2.17208e12 | − | 3.62933e12i | −0.674051 | − | 1.12627i | ||||
\(603\) | 6.21106e11 | + | 6.21106e11i | 0.191310 | + | 0.191310i | ||||
\(604\) | −6.81743e12 | + | 3.93604e12i | −2.08427 | + | 1.20336i | ||||
\(605\) | −3.68411e12 | + | 1.97862e12i | −1.11798 | + | 0.600431i | ||||
\(606\) | −2.13521e11 | + | 3.69829e11i | −0.0643151 | + | 0.111397i | ||||
\(607\) | −4.71608e11 | + | 1.76007e12i | −0.141004 | + | 0.526235i | 0.858897 | + | 0.512149i | \(0.171150\pi\) |
−0.999901 | + | 0.0140858i | \(0.995516\pi\) | |||||||
\(608\) | 2.84386e12 | − | 2.84386e12i | 0.843998 | − | 0.843998i | ||||
\(609\) | 1.83653e11 | − | 5.23138e10i | 0.0541028 | − | 0.0154113i | ||||
\(610\) | −3.16754e11 | − | 1.34638e12i | −0.0926271 | − | 0.393716i | ||||
\(611\) | 3.26846e12 | + | 5.66115e12i | 0.948764 | + | 1.64331i | ||||
\(612\) | 4.47527e12 | − | 1.19914e12i | 1.28955 | − | 0.345533i | ||||
\(613\) | 2.09070e12 | − | 5.60200e11i | 0.598024 | − | 0.160240i | 0.0529062 | − | 0.998599i | \(-0.483152\pi\) |
0.545118 | + | 0.838359i | \(0.316485\pi\) | |||||||
\(614\) | −3.22254e12 | − | 5.58161e12i | −0.915042 | − | 1.58490i | ||||
\(615\) | −4.11801e10 | − | 1.75038e11i | −0.0116078 | − | 0.0493395i | ||||
\(616\) | 1.09482e13 | − | 3.11862e12i | 3.06359 | − | 0.872669i | ||||
\(617\) | 2.58514e12 | − | 2.58514e12i | 0.718127 | − | 0.718127i | −0.250095 | − | 0.968221i | \(-0.580462\pi\) |
0.968221 | + | 0.250095i | \(0.0804617\pi\) | |||||||
\(618\) | −3.83908e10 | + | 1.43276e11i | −0.0105871 | + | 0.0395117i | ||||
\(619\) | −3.13270e12 | + | 5.42599e12i | −0.857651 | + | 1.48550i | 0.0165122 | + | 0.999864i | \(0.494744\pi\) |
−0.874163 | + | 0.485632i | \(0.838590\pi\) | |||||||
\(620\) | 2.38024e12 | − | 1.27835e12i | 0.646930 | − | 0.347446i | ||||
\(621\) | −5.84819e11 | + | 3.37645e11i | −0.157801 | + | 0.0911063i | ||||
\(622\) | −4.05654e12 | − | 4.05654e12i | −1.08667 | − | 1.08667i | ||||
\(623\) | −8.87699e11 | − | 1.48326e12i | −0.236086 | − | 0.394475i | ||||
\(624\) | 4.24491e11i | 0.112083i | ||||||||
\(625\) | 3.78590e12 | + | 4.67837e11i | 0.992451 | + | 0.122641i | ||||
\(626\) | −2.95247e12 | − | 1.70461e12i | −0.768425 | − | 0.443650i | ||||
\(627\) | 1.53997e11 | + | 5.74724e11i | 0.0397931 | + | 0.148510i | ||||
\(628\) | 5.28414e12 | + | 1.41588e12i | 1.35568 | + | 0.363252i | ||||
\(629\) | 3.13532e12 | 0.798646 | ||||||||
\(630\) | 1.71710e12 | + | 6.81663e12i | 0.434273 | + | 1.72400i | ||||
\(631\) | −1.59457e12 | −0.400416 | −0.200208 | − | 0.979753i | \(-0.564162\pi\) | ||||
−0.200208 | + | 0.979753i | \(0.564162\pi\) | |||||||
\(632\) | −4.21223e12 | − | 1.12866e12i | −1.05023 | − | 0.281409i | ||||
\(633\) | 2.24354e10 | + | 8.37300e10i | 0.00555414 | + | 0.0207283i | ||||
\(634\) | −7.22354e12 | − | 4.17051e12i | −1.77561 | − | 1.02515i | ||||
\(635\) | −2.28279e12 | − | 2.42762e12i | −0.557165 | − | 0.592515i | ||||
\(636\) | − | 2.54208e10i | − | 0.00616073i | ||||||
\(637\) | −3.25336e12 | + | 3.46440e12i | −0.782897 | + | 0.833682i | ||||
\(638\) | 7.25623e12 | + | 7.25623e12i | 1.73388 | + | 1.73388i | ||||
\(639\) | 1.95137e12 | − | 1.12662e12i | 0.463004 | − | 0.267316i | ||||
\(640\) | 5.12116e12 | + | 1.54238e12i | 1.20659 | + | 0.363397i | ||||
\(641\) | −2.50749e12 | + | 4.34310e12i | −0.586649 | + | 1.01611i | 0.408019 | + | 0.912974i | \(0.366220\pi\) |
−0.994668 | + | 0.103132i | \(0.967114\pi\) | |||||||
\(642\) | 1.03838e11 | − | 3.87527e11i | 0.0241239 | − | 0.0900315i | ||||
\(643\) | 5.83268e12 | − | 5.83268e12i | 1.34561 | − | 1.34561i | 0.455242 | − | 0.890368i | \(-0.349553\pi\) |
0.890368 | − | 0.455242i | \(-0.150447\pi\) | |||||||
\(644\) | 9.82344e12 | − | 1.01369e13i | 2.25049 | − | 2.32230i | ||||
\(645\) | −1.69525e11 | − | 1.04951e11i | −0.0385668 | − | 0.0238763i | ||||
\(646\) | −4.00931e12 | − | 6.94433e12i | −0.905781 | − | 1.56886i | ||||
\(647\) | −1.57287e12 | + | 4.21451e11i | −0.352878 | + | 0.0945534i | −0.430904 | − | 0.902398i | \(-0.641805\pi\) |
0.0780254 | + | 0.996951i | \(0.475138\pi\) | |||||||
\(648\) | −9.06373e12 | + | 2.42862e12i | −2.01939 | + | 0.541093i | ||||
\(649\) | 1.92084e12 | + | 3.32699e12i | 0.425001 | + | 0.736123i | ||||
\(650\) | −8.31444e12 | + | 4.14140e12i | −1.82693 | + | 0.909990i | ||||
\(651\) | 2.31405e10 | − | 9.21242e10i | 0.00504962 | − | 0.0201029i | ||||
\(652\) | −8.95189e12 | + | 8.95189e12i | −1.93999 | + | 1.93999i | ||||
\(653\) | 1.70246e11 | − | 6.35366e11i | 0.0366410 | − | 0.136746i | −0.945182 | − | 0.326543i | \(-0.894116\pi\) |
0.981823 | + | 0.189797i | \(0.0607829\pi\) | |||||||
\(654\) | 5.50663e10 | − | 9.53776e10i | 0.0117703 | − | 0.0203867i | ||||
\(655\) | −1.68105e12 | − | 3.13005e12i | −0.356859 | − | 0.664456i | ||||
\(656\) | −5.36460e12 | + | 3.09725e12i | −1.13102 | + | 0.652994i | ||||
\(657\) | −3.32179e11 | − | 3.32179e11i | −0.0695550 | − | 0.0695550i | ||||
\(658\) | −6.92469e12 | + | 1.24411e13i | −1.44007 | + | 2.58726i | ||||
\(659\) | − | 7.89734e12i | − | 1.63116i | −0.578645 | − | 0.815580i | \(-0.696418\pi\) | ||
0.578645 | − | 0.815580i | \(-0.303582\pi\) | |||||||
\(660\) | 7.20839e11 | − | 6.77834e11i | 0.147874 | − | 0.139052i | ||||
\(661\) | 4.54671e12 | + | 2.62505e12i | 0.926384 | + | 0.534848i | 0.885666 | − | 0.464323i | \(-0.153702\pi\) |
0.0407179 | + | 0.999171i | \(0.487036\pi\) | |||||||
\(662\) | 3.16025e12 | + | 1.17942e13i | 0.639529 | + | 2.38675i | ||||
\(663\) | 2.07900e11 | + | 5.57067e10i | 0.0417873 | + | 0.0111969i | ||||
\(664\) | −5.40768e12 | −1.07958 | ||||||||
\(665\) | 7.29001e12 | − | 4.06400e12i | 1.44554 | − | 0.805853i | ||||
\(666\) | −1.17538e13 | −2.31497 | ||||||||
\(667\) | 6.66577e12 | + | 1.78609e12i | 1.30402 | + | 0.349411i | ||||
\(668\) | −1.04501e12 | − | 3.90002e12i | −0.203060 | − | 0.757832i | ||||
\(669\) | −2.92857e11 | − | 1.69081e11i | −0.0565247 | − | 0.0326345i | ||||
\(670\) | −2.52692e12 | − | 7.76957e10i | −0.484456 | − | 0.0148957i | ||||
\(671\) | − | 1.79267e12i | − | 0.341388i | ||||||
\(672\) | −2.01763e11 | + | 1.20751e11i | −0.0381663 | + | 0.0228418i | ||||
\(673\) | −5.79849e12 | − | 5.79849e12i | −1.08955 | − | 1.08955i | −0.995574 | − | 0.0939762i | \(-0.970042\pi\) |
−0.0939762 | − | 0.995574i | \(-0.529958\pi\) | |||||||
\(674\) | 7.64537e12 | − | 4.41406e12i | 1.42702 | − | 0.823889i | ||||
\(675\) | 4.39787e11 | + | 4.97478e11i | 0.0815408 | + | 0.0922373i | ||||
\(676\) | 1.82666e12 | − | 3.16386e12i | 0.336432 | − | 0.582717i | ||||
\(677\) | 4.11666e11 | − | 1.53636e12i | 0.0753176 | − | 0.281089i | −0.917988 | − | 0.396609i | \(-0.870187\pi\) |
0.993305 | + | 0.115520i | \(0.0368535\pi\) | |||||||
\(678\) | −1.28700e11 | + | 1.28700e11i | −0.0233908 | + | 0.0233908i | ||||
\(679\) | −2.53805e12 | − | 2.45957e12i | −0.458232 | − | 0.444063i | ||||
\(680\) | −3.80670e12 | + | 6.14889e12i | −0.682745 | + | 1.10282i | ||||
\(681\) | 3.29310e11 | + | 5.70382e11i | 0.0586736 | + | 0.101626i | ||||
\(682\) | 4.93050e12 | − | 1.32112e12i | 0.872693 | − | 0.233837i | ||||
\(683\) | −6.60965e11 | + | 1.77105e11i | −0.116221 | + | 0.0311414i | −0.316461 | − | 0.948606i | \(-0.602495\pi\) |
0.200240 | + | 0.979747i | \(0.435828\pi\) | |||||||
\(684\) | 1.03111e13 | + | 1.78594e13i | 1.80116 | + | 3.11970i | ||||
\(685\) | 5.42512e12 | − | 1.27633e12i | 0.941460 | − | 0.221491i | ||||
\(686\) | −1.01140e13 | − | 2.20539e12i | −1.74367 | − | 0.380212i | ||||
\(687\) | −3.08417e11 | + | 3.08417e11i | −0.0528242 | + | 0.0528242i | ||||
\(688\) | −1.77770e12 | + | 6.63446e12i | −0.302489 | + | 1.12891i | ||||
\(689\) | −1.54648e11 | + | 2.67858e11i | −0.0261432 | + | 0.0452813i | ||||
\(690\) | 2.79715e11 | − | 9.28738e11i | 0.0469781 | − | 0.155981i | ||||
\(691\) | 2.42587e12 | − | 1.40058e12i | 0.404777 | − | 0.233698i | −0.283766 | − | 0.958894i | \(-0.591584\pi\) |
0.688543 | + | 0.725195i | \(0.258251\pi\) | |||||||
\(692\) | −1.21489e13 | − | 1.21489e13i | −2.01401 | − | 2.01401i | ||||
\(693\) | 1.43058e11 | + | 9.10981e12i | 0.0235620 | + | 1.50041i | ||||
\(694\) | 2.52796e12i | 0.413669i | ||||||||
\(695\) | 4.80511e10 | − | 1.56278e12i | 0.00781218 | − | 0.254078i | ||||
\(696\) | −6.37803e11 | − | 3.68236e11i | −0.103026 | − | 0.0594819i | ||||
\(697\) | 8.12915e11 | + | 3.03384e12i | 0.130466 | + | 0.486906i | ||||
\(698\) | −2.01776e13 | − | 5.40657e12i | −3.21751 | − | 0.862130i | ||||
\(699\) | 5.39808e11 | 0.0855248 | ||||||||
\(700\) | −1.16901e13 | − | 7.48265e12i | −1.84026 | − | 1.17792i | ||||
\(701\) | −7.79044e12 | −1.21851 | −0.609257 | − | 0.792973i | \(-0.708532\pi\) | ||||
−0.609257 | + | 0.792973i | \(0.708532\pi\) | |||||||
\(702\) | −1.56174e12 | − | 4.18468e11i | −0.242713 | − | 0.0650347i | ||||
\(703\) | 3.61193e12 | + | 1.34799e13i | 0.557750 | + | 2.08155i | ||||
\(704\) | 2.56740e12 | + | 1.48229e12i | 0.393928 | + | 0.227435i | ||||
\(705\) | −2.06273e10 | + | 6.70866e11i | −0.00314478 | + | 0.102279i | ||||
\(706\) | 1.28248e12i | 0.194281i | ||||||||
\(707\) | 6.78387e12 | + | 3.77591e12i | 1.02115 | + | 0.568373i | ||||
\(708\) | −3.59482e11 | − | 3.59482e11i | −0.0537684 | − | 0.0537684i | ||||
\(709\) | 1.81400e12 | − | 1.04731e12i | 0.269605 | − | 0.155657i | −0.359103 | − | 0.933298i | \(-0.616917\pi\) |
0.628708 | + | 0.777641i | \(0.283584\pi\) | |||||||
\(710\) | −1.87022e12 | + | 6.20968e12i | −0.276204 | + | 0.917079i | ||||
\(711\) | 1.74508e12 | − | 3.02257e12i | 0.256096 | − | 0.443571i | ||||
\(712\) | −1.72547e12 | + | 6.43955e12i | −0.251622 | + | 0.939065i | ||||
\(713\) | 2.42724e12 | − | 2.42724e12i | 0.351730 | − | 0.351730i | ||||
\(714\) | 1.28433e11 | + | 4.50876e11i | 0.0184941 | + | 0.0649254i | ||||
\(715\) | −1.17191e13 | + | 2.75707e12i | −1.67694 | + | 0.394522i | ||||
\(716\) | 4.69572e12 | + | 8.13322e12i | 0.667719 | + | 1.15652i | ||||
\(717\) | −2.66078e11 | + | 7.12953e10i | −0.0375986 | + | 0.0100745i | ||||
\(718\) | 2.30955e13 | − | 6.18843e12i | 3.24316 | − | 0.869002i | ||||
\(719\) | −2.32097e12 | − | 4.02003e12i | −0.323883 | − | 0.560983i | 0.657402 | − | 0.753540i | \(-0.271655\pi\) |
−0.981286 | + | 0.192557i | \(0.938322\pi\) | |||||||
\(720\) | 6.00875e12 | − | 9.70582e12i | 0.833274 | − | 1.34597i | ||||
\(721\) | 2.61550e12 | + | 6.56985e11i | 0.360451 | + | 0.0905412i | ||||
\(722\) | 1.60233e13 | − | 1.60233e13i | 2.19449 | − | 2.19449i | ||||
\(723\) | 5.13784e10 | − | 1.91747e11i | 0.00699292 | − | 0.0260979i | ||||
\(724\) | −3.49989e12 | + | 6.06199e12i | −0.473403 | + | 0.819958i | ||||
\(725\) | 4.16878e11 | − | 6.77272e12i | 0.0560387 | − | 0.910420i | ||||
\(726\) | 9.05442e11 | − | 5.22757e11i | 0.120961 | − | 0.0698369i | ||||
\(727\) | −2.54474e12 | − | 2.54474e12i | −0.337862 | − | 0.337862i | 0.517700 | − | 0.855562i | \(-0.326788\pi\) |
−0.855562 | + | 0.517700i | \(0.826788\pi\) | |||||||
\(728\) | 1.83268e13 | − | 2.87800e11i | 2.41822 | − | 0.0379751i | ||||
\(729\) | − | 7.45212e12i | − | 0.977251i | ||||||
\(730\) | 1.35144e12 | + | 4.15531e10i | 0.176135 | + | 0.00541565i | ||||
\(731\) | 3.01602e12 | + | 1.74130e12i | 0.390667 | + | 0.225552i | ||||
\(732\) | 6.13997e10 | + | 2.29147e11i | 0.00790435 | + | 0.0294994i | ||||
\(733\) | −9.21754e12 | − | 2.46983e12i | −1.17936 | − | 0.316009i | −0.384689 | − | 0.923046i | \(-0.625691\pi\) |
−0.794674 | + | 0.607037i | \(0.792358\pi\) | |||||||
\(734\) | 1.55394e13 | 1.97607 | ||||||||
\(735\) | −4.71256e11 | + | 1.26610e11i | −0.0595613 | + | 0.0160020i | ||||
\(736\) | −8.49745e12 | −1.06743 | ||||||||
\(737\) | −3.16500e12 | − | 8.48059e11i | −0.395157 | − | 0.105882i | ||||
\(738\) | −3.04748e12 | − | 1.13734e13i | −0.378171 | − | 1.41135i | ||||
\(739\) | 9.24985e12 | + | 5.34040e12i | 1.14087 | + | 0.658679i | 0.946645 | − | 0.322278i | \(-0.104449\pi\) |
0.194221 | + | 0.980958i | \(0.437782\pi\) | |||||||
\(740\) | 1.69070e13 | − | 1.58983e13i | 2.07264 | − | 1.94898i | ||||
\(741\) | 9.58013e11i | 0.116732i | ||||||||
\(742\) | −6.73609e11 | + | 1.05782e10i | −0.0815812 | + | 0.00128113i | ||||
\(743\) | 7.33647e11 | + | 7.33647e11i | 0.0883156 | + | 0.0883156i | 0.749884 | − | 0.661569i | \(-0.230109\pi\) |
−0.661569 | + | 0.749884i | \(0.730109\pi\) | |||||||
\(744\) | −3.17255e11 | + | 1.83167e11i | −0.0379603 | + | 0.0219164i | ||||
\(745\) | −3.91319e12 | − | 7.28620e12i | −0.465402 | − | 0.866558i | ||||
\(746\) | 5.71793e12 | − | 9.90374e12i | 0.675949 | − | 1.17078i | ||||
\(747\) | 1.12017e12 | − | 4.18054e12i | 0.131626 | − | 0.491236i | ||||
\(748\) | −1.22211e13 | + | 1.22211e13i | −1.42742 | + | 1.42742i | ||||
\(749\) | −7.07429e12 | − | 1.77698e12i | −0.821325 | − | 0.206307i | ||||
\(750\) | −9.49678e11 | − | 8.78213e10i | −0.109597 | − | 0.0101350i | ||||
\(751\) | 3.29206e12 | + | 5.70202e12i | 0.377649 | + | 0.654107i | 0.990720 | − | 0.135921i | \(-0.0433993\pi\) |
−0.613071 | + | 0.790028i | \(0.710066\pi\) | |||||||
\(752\) | 2.23337e13 | − | 5.98429e12i | 2.54671 | − | 0.682390i | ||||
\(753\) | 5.58237e10 | − | 1.49579e10i | 0.00632763 | − | 0.00169548i | ||||
\(754\) | 8.26136e12 | + | 1.43091e13i | 0.930852 | + | 1.61228i | ||||
\(755\) | 8.36160e12 | + | 5.17656e12i | 0.936543 | + | 0.579802i | ||||
\(756\) | −6.61865e11 | − | 2.32354e12i | −0.0736922 | − | 0.258704i | ||||
\(757\) | −6.82321e12 | + | 6.82321e12i | −0.755192 | + | 0.755192i | −0.975443 | − | 0.220251i | \(-0.929312\pi\) |
0.220251 | + | 0.975443i | \(0.429312\pi\) | |||||||
\(758\) | 1.10289e12 | − | 4.11604e12i | 0.121345 | − | 0.452865i | ||||
\(759\) | 6.28567e11 | − | 1.08871e12i | 0.0687485 | − | 0.119076i | ||||
\(760\) | −3.08217e13 | − | 9.28280e12i | −3.35116 | − | 1.00929i | ||||
\(761\) | 4.18775e12 | − | 2.41780e12i | 0.452637 | − | 0.261330i | −0.256306 | − | 0.966596i | \(-0.582506\pi\) |
0.708943 | + | 0.705265i | \(0.249172\pi\) | |||||||
\(762\) | 5.89114e11 | + | 5.89114e11i | 0.0632997 | + | 0.0632997i | ||||
\(763\) | −1.74954e12 | − | 9.73794e11i | −0.186880 | − | 0.104018i | ||||
\(764\) | 7.29459e12i | 0.774605i | ||||||||
\(765\) | −3.96501e12 | − | 4.21657e12i | −0.418570 | − | 0.445126i | ||||
\(766\) | 1.48884e12 | + | 8.59582e11i | 0.156249 | + | 0.0902106i | ||||
\(767\) | 1.60093e12 | + | 5.97476e12i | 0.167030 | + | 0.623364i | ||||
\(768\) | −1.11818e12 | − | 2.99615e11i | −0.115981 | − | 0.0310769i | ||||
\(769\) | −1.70913e13 | −1.76241 | −0.881205 | − | 0.472734i | \(-0.843267\pi\) | ||||
−0.881205 | + | 0.472734i | \(0.843267\pi\) | |||||||
\(770\) | −1.82614e13 | − | 1.88190e13i | −1.87209 | − | 1.92925i | ||||
\(771\) | 6.94167e11 | 0.0707489 | ||||||||
\(772\) | 1.66165e13 | + | 4.45237e12i | 1.68368 | + | 0.451142i | ||||
\(773\) | 3.39183e12 | + | 1.26585e13i | 0.341685 | + | 1.27519i | 0.896437 | + | 0.443170i | \(0.146146\pi\) |
−0.554752 | + | 0.832016i | \(0.687187\pi\) | |||||||
\(774\) | −1.13066e13 | − | 6.52786e12i | −1.13239 | − | 0.653787i | ||||
\(775\) | −2.81384e12 | − | 1.86402e12i | −0.280183 | − | 0.185606i | ||||
\(776\) | 1.36307e13i | 1.34940i | ||||||||
\(777\) | −1.28112e10 | − | 8.15807e11i | −0.00126094 | − | 0.0802958i | ||||
\(778\) | 2.35428e13 | + | 2.35428e13i | 2.30383 | + | 2.30383i | ||||
\(779\) | −1.21071e13 | + | 6.99003e12i | −1.17793 | + | 0.680080i | ||||
\(780\) | 1.40356e12 | − | 7.53806e11i | 0.135770 | − | 0.0729179i | ||||
\(781\) | −4.20269e12 | + | 7.27927e12i | −0.404201 | + | 0.700097i | ||||
\(782\) | −4.38492e12 | + | 1.63647e13i | −0.419306 | + | 1.56487i | ||||
\(783\) | 8.35174e11 | − | 8.35174e11i | 0.0794052 | − | 0.0794052i | ||||
\(784\) | 8.85795e12 | + | 1.42868e13i | 0.837357 | + | 1.35055i | ||||
\(785\) | −1.56509e12 | − | 6.65250e12i | −0.147105 | − | 0.625276i | ||||
\(786\) | 4.44140e11 | + | 7.69273e11i | 0.0415067 | + | 0.0718917i | ||||
\(787\) | −8.78992e12 | + | 2.35525e12i | −0.816768 | + | 0.218852i | −0.642933 | − | 0.765922i | \(-0.722283\pi\) |
−0.173835 | + | 0.984775i | \(0.555616\pi\) | |||||||
\(788\) | −1.46578e13 | + | 3.92753e12i | −1.35425 | + | 0.362871i | ||||
\(789\) | 5.25796e11 | + | 9.10705e11i | 0.0483026 | + | 0.0836626i | ||||
\(790\) | 2.30048e12 | + | 9.77830e12i | 0.210134 | + | 0.893185i | ||||
\(791\) | 2.37631e12 | + | 2.30283e12i | 0.215829 | + | 0.209155i | ||||
\(792\) | 2.48465e13 | − | 2.48465e13i | 2.24389 | − | 2.24389i | ||||
\(793\) | 7.47053e11 | − | 2.78804e12i | 0.0670844 | − | 0.250363i | ||||
\(794\) | −3.06427e12 | + | 5.30747e12i | −0.273612 | + | 0.473910i | ||||
\(795\) | −2.79775e10 | + | 1.50259e10i | −0.00248403 | + | 0.00133410i | ||||
\(796\) | −3.90447e12 | + | 2.25425e12i | −0.344710 | + | 0.199018i | ||||
\(797\) | −1.32697e13 | − | 1.32697e13i | −1.16493 | − | 1.16493i | −0.983382 | − | 0.181547i | \(-0.941890\pi\) |
−0.181547 | − | 0.983382i | \(-0.558110\pi\) | |||||||
\(798\) | −1.79052e12 | + | 1.07159e12i | −0.156303 | + | 0.0935441i | ||||
\(799\) | − | 1.17235e13i | − | 1.01765i | ||||||
\(800\) | 1.66261e12 | + | 8.18829e12i | 0.143511 | + | 0.706786i | ||||
\(801\) | −4.62083e12 | − | 2.66784e12i | −0.396619 | − | 0.228988i | ||||
\(802\) | −5.37341e12 | − | 2.00539e13i | −0.458633 | − | 1.71164i | ||||
\(803\) | 1.69270e12 | + | 4.53558e11i | 0.143668 | + | 0.0384958i | ||||
\(804\) | 4.33611e11 | 0.0365972 | ||||||||
\(805\) | −1.69629e13 | − | 4.81967e12i | −1.42370 | − | 0.404516i | ||||
\(806\) | 8.21870e12 | 0.685954 | ||||||||
\(807\) | −7.98085e11 | − | 2.13846e11i | −0.0662397 | − | 0.0177489i | ||||
\(808\) | −7.74987e12 | − | 2.89229e13i | −0.639652 | − | 2.38721i | ||||
\(809\) | 1.81753e12 | + | 1.04935e12i | 0.149181 | + | 0.0861295i | 0.572732 | − | 0.819742i | \(-0.305883\pi\) |
−0.423552 | + | 0.905872i | \(0.639217\pi\) | |||||||
\(810\) | 1.48072e13 | + | 1.57467e13i | 1.20862 | + | 1.28530i | ||||
\(811\) | 4.28385e12i | 0.347728i | 0.984770 | + | 0.173864i | \(0.0556254\pi\) | ||||
−0.984770 | + | 0.173864i | \(0.944375\pi\) | |||||||
\(812\) | −1.20074e13 | + | 2.15727e13i | −0.969272 | + | 1.74142i | ||||
\(813\) | −6.93111e11 | − | 6.93111e11i | −0.0556411 | − | 0.0556411i | ||||
\(814\) | 3.79716e13 | − | 2.19229e13i | 3.03144 | − | 1.75020i | ||||
\(815\) | 1.51436e13 | + | 4.56090e12i | 1.20232 | + | 0.362111i | ||||
\(816\) | 3.80648e11 | − | 6.59303e11i | 0.0300551 | − | 0.0520570i | ||||
\(817\) | −4.01200e12 | + | 1.49730e13i | −0.315037 | + | 1.17573i | ||||
\(818\) | 1.50796e12 | − | 1.50796e12i | 0.117761 | − | 0.117761i | ||||
\(819\) | −3.57382e12 | + | 1.42276e13i | −0.277559 | + | 1.10498i | ||||
\(820\) | 1.97673e13 | + | 1.22377e13i | 1.52681 | + | 0.945227i | ||||
\(821\) | −1.83457e12 | − | 3.17757e12i | −0.140926 | − | 0.244091i | 0.786920 | − | 0.617055i | \(-0.211675\pi\) |
−0.927846 | + | 0.372965i | \(0.878341\pi\) | |||||||
\(822\) | −1.34591e12 | + | 3.60636e11i | −0.102824 | + | 0.0275515i | ||||
\(823\) | −1.92319e13 | + | 5.15318e12i | −1.46125 | + | 0.391540i | −0.899920 | − | 0.436054i | \(-0.856376\pi\) |
−0.561327 | + | 0.827594i | \(0.689709\pi\) | |||||||
\(824\) | −5.20031e12 | − | 9.00720e12i | −0.392967 | − | 0.680639i | ||||
\(825\) | −1.17209e12 | − | 3.92681e11i | −0.0880879 | − | 0.0295119i | ||||
\(826\) | −9.37607e12 | + | 9.67525e12i | −0.700827 | + | 0.723189i | ||||
\(827\) | 6.76053e12 | − | 6.76053e12i | 0.502581 | − | 0.502581i | −0.409658 | − | 0.912239i | \(-0.634352\pi\) |
0.912239 | + | 0.409658i | \(0.134352\pi\) | |||||||
\(828\) | 1.12771e13 | − | 4.20867e13i | 0.833798 | − | 3.11178i | ||||
\(829\) | 3.77372e11 | − | 6.53627e11i | 0.0277507 | − | 0.0480656i | −0.851817 | − | 0.523840i | \(-0.824499\pi\) |
0.879567 | + | 0.475775i | \(0.157832\pi\) | |||||||
\(830\) | 5.89388e12 | + | 1.09742e13i | 0.431072 | + | 0.802639i | ||||
\(831\) | −3.93271e11 | + | 2.27055e11i | −0.0286080 | + | 0.0165168i | ||||
\(832\) | 3.37524e12 | + | 3.37524e12i | 0.244202 | + | 0.244202i | ||||
\(833\) | 8.15957e12 | − | 2.46342e12i | 0.587171 | − | 0.177270i | ||||
\(834\) | 3.90902e11i | 0.0279783i | ||||||||
\(835\) | −3.67458e12 | + | 3.45535e12i | −0.261588 | + | 0.245982i | ||||
\(836\) | −6.66216e13 | − | 3.84640e13i | −4.71723 | − | 2.72349i | ||||
\(837\) | −1.52058e11 | − | 5.67489e11i | −0.0107089 | − | 0.0399662i | ||||
\(838\) | 3.90228e13 | + | 1.04561e13i | 2.73351 | + | 0.732442i | ||||
\(839\) | 2.14353e13 | 1.49348 | 0.746742 | − | 0.665114i | \(-0.231617\pi\) | ||||
0.746742 | + | 0.665114i | \(0.231617\pi\) | |||||||
\(840\) | 1.61549e12 | + | 9.65373e11i | 0.111956 | + | 0.0669019i | ||||
\(841\) | 2.43713e12 | 0.167995 | ||||||||
\(842\) | −4.88073e13 | − | 1.30779e13i | −3.34642 | − | 0.896670i | ||||
\(843\) | −1.41889e11 | − | 5.29538e11i | −0.00967666 | − | 0.0361138i | ||||
\(844\) | −9.70593e12 | − | 5.60372e12i | −0.658410 | − | 0.380133i | ||||
\(845\) | −4.56178e12 | − | 1.40262e11i | −0.307808 | − | 0.00946423i | ||||
\(846\) | 4.39496e13i | 2.94977i | ||||||||
\(847\) | −9.76140e12 | − | 1.63103e13i | −0.651684 | − | 1.08890i | ||||
\(848\) | 7.73575e11 | + | 7.73575e11i | 0.0513714 | + | 0.0513714i | ||||
\(849\) | −1.37143e12 | + | 7.91798e11i | −0.0905921 | + | 0.0523034i | ||||
\(850\) | 1.66273e13 | + | 1.02345e12i | 1.09254 | + | 0.0672486i | ||||
\(851\) | 1.47428e13 | − | 2.55352e13i | 0.963597 | − | 1.66900i | ||||
\(852\) | 2.87888e11 | − | 1.07441e12i | 0.0187174 | − | 0.0698544i | ||||
\(853\) | 7.77297e12 | − | 7.77297e12i | 0.502708 | − | 0.502708i | −0.409570 | − | 0.912279i | \(-0.634321\pi\) |
0.912279 | + | 0.409570i | \(0.134321\pi\) | |||||||
\(854\) | 6.04645e12 | − | 1.72234e12i | 0.388992 | − | 0.110805i | ||||
\(855\) | 1.35608e13 | − | 2.19046e13i | 0.867839 | − | 1.40180i | ||||
\(856\) | 1.40655e13 | + | 2.43622e13i | 0.895416 | + | 1.55091i | ||||
\(857\) | −1.43208e13 | + | 3.83724e12i | −0.906887 | + | 0.243000i | −0.681971 | − | 0.731379i | \(-0.738877\pi\) |
−0.224915 | + | 0.974378i | \(0.572210\pi\) | |||||||
\(858\) | 2.90737e12 | − | 7.79028e11i | 0.183150 | − | 0.0490750i | ||||
\(859\) | −8.45434e12 | − | 1.46433e13i | −0.529798 | − | 0.917637i | −0.999396 | − | 0.0347567i | \(-0.988934\pi\) |
0.469598 | − | 0.882880i | \(-0.344399\pi\) | |||||||
\(860\) | 2.50933e13 | − | 5.90353e12i | 1.56428 | − | 0.368018i | ||||
\(861\) | 7.86079e11 | − | 2.23916e11i | 0.0487474 | − | 0.0138858i | ||||
\(862\) | 1.93442e12 | − | 1.93442e12i | 0.119335 | − | 0.119335i | ||||
\(863\) | −6.10149e12 | + | 2.27711e13i | −0.374444 | + | 1.39744i | 0.479711 | + | 0.877426i | \(0.340741\pi\) |
−0.854155 | + | 0.520018i | \(0.825925\pi\) | |||||||
\(864\) | −7.27184e11 | + | 1.25952e12i | −0.0443948 | + | 0.0768941i | ||||
\(865\) | −6.18977e12 | + | 2.05519e13i | −0.375926 | + | 1.24819i | ||||
\(866\) | −6.57404e12 | + | 3.79553e12i | −0.397193 | + | 0.229320i | ||||
\(867\) | 4.52604e11 | + | 4.52604e11i | 0.0272040 | + | 0.0272040i | ||||
\(868\) | 6.30667e12 | + | 1.05378e13i | 0.377104 | + | 0.630103i | ||||
\(869\) | 1.30195e13i | 0.774473i | ||||||||
\(870\) | −5.21374e10 | + | 1.69568e12i | −0.00308541 | + | 0.100348i | ||||
\(871\) | −4.56895e12 | − | 2.63788e12i | −0.268989 | − | 0.155301i | ||||
\(872\) | 1.99867e12 | + | 7.45913e12i | 0.117062 | + | 0.436882i | ||||
\(873\) | −1.05376e13 | − | 2.82353e12i | −0.614011 | − | 0.164524i | ||||
\(874\) | −7.54094e13 | −4.37144 | ||||||||
\(875\) | −1.32535e12 | + | 1.72888e13i | −0.0764355 | + | 0.997075i | ||||
\(876\) | −2.31904e11 | −0.0133057 | ||||||||
\(877\) | −9.79815e12 | − | 2.62541e12i | −0.559301 | − | 0.149864i | −0.0319160 | − | 0.999491i | \(-0.510161\pi\) |
−0.527385 | + | 0.849626i | \(0.676828\pi\) | |||||||
\(878\) | 3.21926e12 | + | 1.20145e13i | 0.182823 | + | 0.682306i | ||||
\(879\) | 6.13517e11 | + | 3.54214e11i | 0.0346638 | + | 0.0200132i | ||||
\(880\) | −1.30869e12 | + | 4.25627e13i | −0.0735636 | + | 2.39253i | ||||
\(881\) | − | 2.13671e12i | − | 0.119496i | −0.998213 | − | 0.0597481i | \(-0.980970\pi\) | ||
0.998213 | − | 0.0597481i | \(-0.0190298\pi\) | |||||||
\(882\) | −3.05889e13 | + | 9.23496e12i | −1.70198 | + | 0.513838i | ||||
\(883\) | −1.02436e13 | − | 1.02436e13i | −0.567062 | − | 0.567062i | 0.364242 | − | 0.931304i | \(-0.381328\pi\) |
−0.931304 | + | 0.364242i | \(0.881328\pi\) | |||||||
\(884\) | −2.40996e13 | + | 1.39139e13i | −1.32732 | + | 0.766328i | ||||
\(885\) | −1.83153e11 | + | 6.08121e11i | −0.0100362 | + | 0.0333231i | ||||
\(886\) | 1.73759e13 | − | 3.00960e13i | 0.947318 | − | 1.64080i | ||||
\(887\) | −4.59508e12 | + | 1.71491e13i | −0.249251 | + | 0.930217i | 0.721948 | + | 0.691947i | \(0.243247\pi\) |
−0.971199 | + | 0.238270i | \(0.923420\pi\) | |||||||
\(888\) | −2.22507e12 | + | 2.22507e12i | −0.120084 | + | 0.120084i | ||||
\(889\) | 1.05410e13 | − | 1.08774e13i | 0.566011 | − | 0.584071i | ||||
\(890\) | 1.49488e13 | − | 3.51692e12i | 0.798642 | − | 0.187891i | ||||
\(891\) | 1.40075e13 | + | 2.42617e13i | 0.744579 | + | 1.28965i | ||||
\(892\) | 4.22316e13 | − | 1.13159e13i | 2.23355 | − | 0.598478i | ||||
\(893\) | 5.04037e13 | − | 1.35056e13i | 2.65235 | − | 0.710696i | ||||
\(894\) | 1.03388e12 | + | 1.79073e12i | 0.0541315 | + | 0.0937585i | ||||
\(895\) | 6.17566e12 | − | 9.97542e12i | 0.321721 | − | 0.519670i | ||||
\(896\) | −5.92260e12 | + | 2.35783e13i | −0.306992 | + | 1.22216i | ||||
\(897\) | 1.43127e12 | − | 1.43127e12i | 0.0738170 | − | 0.0738170i | ||||
\(898\) | 1.04323e13 | − | 3.89339e13i | 0.535349 | − | 1.99795i | ||||
\(899\) | −3.00192e12 | + | 5.19948e12i | −0.153278 | + | 0.265486i | ||||
\(900\) | −4.27620e13 | − | 2.63211e12i | −2.17253 | − | 0.133725i | ||||
\(901\) | 4.80386e11 | − | 2.77351e11i | 0.0242845 | − | 0.0140206i | ||||
\(902\) | 3.10584e13 | + | 3.10584e13i | 1.56225 | + | 1.56225i | ||||
\(903\) | 4.40760e11 | − | 7.91880e11i | 0.0220601 | − | 0.0396337i | ||||
\(904\) | − | 1.27621e13i | − | 0.635572i | ||||||
\(905\) | 8.74041e12 | + | 2.68743e11i | 0.433125 | + | 0.0133174i | ||||
\(906\) | −2.12931e12 | − | 1.22936e12i | −0.104993 | − | 0.0606179i | ||||
\(907\) | 5.90207e12 | + | 2.20268e13i | 0.289582 | + | 1.08074i | 0.945425 | + | 0.325838i | \(0.105647\pi\) |
−0.655843 | + | 0.754897i | \(0.727687\pi\) | |||||||
\(908\) | −8.22522e13 | − | 2.20394e13i | −4.01570 | − | 1.07600i | ||||
\(909\) | 2.39649e13 | 1.16423 | ||||||||
\(910\) | −2.05586e13 | − | 3.68782e13i | −0.993821 | − | 1.78272i | ||||
\(911\) | −1.69330e13 | −0.814521 | −0.407260 | − | 0.913312i | \(-0.633516\pi\) | ||||
−0.407260 | + | 0.913312i | \(0.633516\pi\) | |||||||
\(912\) | 3.27309e12 | + | 8.77022e11i | 0.156668 | + | 0.0419792i | ||||
\(913\) | 4.17863e12 | + | 1.55949e13i | 0.199029 | + | 0.742785i | ||||
\(914\) | −2.38185e13 | − | 1.37516e13i | −1.12890 | − | 0.651773i | ||||
\(915\) | 2.15901e11 | − | 2.03020e11i | 0.0101826 | − | 0.00957512i | ||||
\(916\) | − | 5.63926e13i | − | 2.64662i | ||||||
\(917\) | 1.38574e13 | − | 8.29339e12i | 0.647173 | − | 0.387320i | ||||
\(918\) | 2.05039e12 | + | 2.05039e12i | 0.0952893 | + | 0.0952893i | ||||
\(919\) | 3.17278e13 | − | 1.83181e13i | 1.46731 | − | 0.847150i | 0.467976 | − | 0.883741i | \(-0.344983\pi\) |
0.999330 | + | 0.0365918i | \(0.0116501\pi\) | |||||||
\(920\) | 3.21791e13 | + | 5.99161e13i | 1.48091 | + | 2.75739i | ||||
\(921\) | 6.90487e11 | − | 1.19596e12i | 0.0316218 | − | 0.0547706i | ||||
\(922\) | 1.87094e13 | − | 6.98244e13i | 0.852650 | − | 3.18213i | ||||
\(923\) | −9.56970e12 | + | 9.56970e12i | −0.434001 | + | 0.434001i | ||||
\(924\) | 3.22984e12 | + | 3.12997e12i | 0.145766 | + | 0.141259i | ||||
\(925\) | −2.74907e13 | − | 9.21015e12i | −1.23466 | − | 0.413646i | ||||
\(926\) | 1.53281e13 | + | 2.65490e13i | 0.685075 | + | 1.18659i | ||||
\(927\) | 8.04045e12 | − | 2.15443e12i | 0.357620 | − | 0.0958239i | ||||
\(928\) | 1.43560e13 | − | 3.84668e12i | 0.635430 | − | 0.170263i | ||||
\(929\) | −1.69569e13 | − | 2.93703e13i | −0.746925 | − | 1.29371i | −0.949290 | − | 0.314402i | \(-0.898196\pi\) |
0.202365 | − | 0.979310i | \(-0.435137\pi\) | |||||||
\(930\) | 7.17492e11 | + | 4.44190e11i | 0.0314517 | + | 0.0194713i | ||||
\(931\) | 1.99910e13 | + | 3.22430e13i | 0.872091 | + | 1.40657i | ||||
\(932\) | −4.93507e13 | + | 4.93507e13i | −2.14250 | + | 2.14250i | ||||
\(933\) | 3.18144e11 | − | 1.18733e12i | 0.0137454 | − | 0.0512984i | ||||
\(934\) | −1.80431e13 | + | 3.12515e13i | −0.775799 | + | 1.34372i | ||||
\(935\) | 2.06739e13 | + | 6.22652e12i | 0.884648 | + | 0.266436i | ||||
\(936\) | 4.89967e13 | − | 2.82882e13i | 2.08653 | − | 1.20466i | ||||
\(937\) | −7.02099e12 | − | 7.02099e12i | −0.297557 | − | 0.297557i | 0.542499 | − | 0.840056i | \(-0.317478\pi\) |
−0.840056 | + | 0.542499i | \(0.817478\pi\) | |||||||
\(938\) | −1.80435e11 | − | 1.14900e13i | −0.00761043 | − | 0.484625i | ||||
\(939\) | − | 7.30487e11i | − | 0.0306632i | ||||||
\(940\) | −5.94466e13 | − | 6.32182e13i | −2.48343 | − | 2.64099i | ||||
\(941\) | 1.39146e13 | + | 8.03361e12i | 0.578519 | + | 0.334008i | 0.760545 | − | 0.649286i | \(-0.224932\pi\) |
−0.182025 | + | 0.983294i | \(0.558265\pi\) | |||||||
\(942\) | 4.42226e11 | + | 1.65041e12i | 0.0182985 | + | 0.0682909i | ||||
\(943\) | 2.85311e13 | + | 7.64488e12i | 1.17494 | + | 0.314824i | ||||
\(944\) | 2.18786e13 | 0.896697 | ||||||||
\(945\) | −2.16602e12 | + | 2.10184e12i | −0.0883525 | + | 0.0857348i | ||||
\(946\) | 4.87023e13 | 1.97715 | ||||||||
\(947\) | 4.32244e12 | + | 1.15819e12i | 0.174644 | + | 0.0467958i | 0.345081 | − | 0.938573i | \(-0.387851\pi\) |
−0.170437 | + | 0.985369i | \(0.554518\pi\) | |||||||
\(948\) | −4.45925e11 | − | 1.66422e12i | −0.0179318 | − | 0.0669225i | ||||
\(949\) | 2.44356e12 | + | 1.41079e12i | 0.0977970 | + | 0.0564631i | ||||
\(950\) | 1.47546e13 | + | 7.26658e13i | 0.587722 | + | 2.89450i | ||||
\(951\) | − | 1.78721e12i | − | 0.0708539i | ||||||
\(952\) | −2.87226e13 | − | 1.59870e13i | −1.13333 | − | 0.630812i | ||||
\(953\) | −3.36282e12 | − | 3.36282e12i | −0.132064 | − | 0.132064i | 0.637985 | − | 0.770049i | \(-0.279768\pi\) |
−0.770049 | + | 0.637985i | \(0.779768\pi\) | |||||||
\(954\) | −1.80089e12 | + | 1.03974e12i | −0.0703913 | + | 0.0406405i | ||||
\(955\) | 8.02824e12 | − | 4.31172e12i | 0.312324 | − | 0.167740i | ||||
\(956\) | 1.78075e13 | − | 3.08435e13i | 0.689514 | − | 1.19427i | ||||
\(957\) | −5.69088e11 | + | 2.12386e12i | −0.0219319 | + | 0.0818508i | ||||
\(958\) | −4.76311e13 | + | 4.76311e13i | −1.82703 | + | 1.82703i | ||||
\(959\) | 6.94002e12 | + | 2.43637e13i | 0.264958 | + | 0.930162i | ||||
\(960\) | 1.12239e11 | + | 4.77077e11i | 0.00426504 | + | 0.0181288i | ||||
\(961\) | −1.17266e13 | − | 2.03111e13i | −0.443524 | − | 0.768206i | ||||
\(962\) | 6.81911e13 | − | 1.82718e13i | 2.56708 | − | 0.687848i | ||||
\(963\) | −2.17474e13 | + | 5.82721e12i | −0.814873 | + | 0.218345i | ||||
\(964\) | 1.28329e13 | + | 2.22272e13i | 0.478605 | + | 0.828968i | ||||
\(965\) | −4.92157e12 | − | 2.09194e13i | −0.182697 | − | 0.776562i | ||||
\(966\) | 4.27600e12 | + | 1.07408e12i | 0.157994 | + | 0.0396863i | ||||
\(967\) | −3.94387e12 | + | 3.94387e12i | −0.145045 | + | 0.145045i | −0.775901 | − | 0.630855i | \(-0.782704\pi\) |
0.630855 | + | 0.775901i | \(0.282704\pi\) | |||||||
\(968\) | −1.89738e13 | + | 7.08112e13i | −0.694569 | + | 2.59217i | ||||
\(969\) | 8.59066e11 | − | 1.48795e12i | 0.0313018 | − | 0.0542163i | ||||
\(970\) | 2.76617e13 | − | 1.48563e13i | 1.00324 | − | 0.538811i | ||||
\(971\) | 3.40006e13 | − | 1.96303e13i | 1.22744 | − | 0.708663i | 0.260946 | − | 0.965353i | \(-0.415965\pi\) |
0.966494 | + | 0.256691i | \(0.0826321\pi\) | |||||||
\(972\) | −7.91478e12 | − | 7.91478e12i | −0.284407 | − | 0.284407i | ||||
\(973\) | 7.10601e12 | − | 1.11591e11i | 0.254166 | − | 0.00399136i | ||||
\(974\) | 1.12395e13i | 0.400160i | ||||||||
\(975\) | −1.65924e12 | − | 1.09916e12i | −0.0588016 | − | 0.0389528i | ||||
\(976\) | −8.84155e12 | − | 5.10467e12i | −0.311892 | − | 0.180071i | ||||
\(977\) | −7.64637e12 | − | 2.85366e13i | −0.268491 | − | 1.00202i | −0.960079 | − | 0.279730i | \(-0.909755\pi\) |
0.691588 | − | 0.722293i | \(-0.256912\pi\) | |||||||
\(978\) | −3.81936e12 | − | 1.02340e12i | −0.133495 | − | 0.0357700i | ||||
\(979\) | 1.99039e13 | 0.692495 | ||||||||
\(980\) | 3.15085e13 | − | 5.46585e13i | 1.09121 | − | 1.89296i | ||||
\(981\) | −6.18048e12 | −0.213065 | ||||||||
\(982\) | 6.75484e13 | + | 1.80995e13i | 2.31800 | + | 0.621106i | ||||
\(983\) | −4.50234e12 | − | 1.68029e13i | −0.153797 | − | 0.573977i | −0.999205 | − | 0.0398572i | \(-0.987310\pi\) |
0.845409 | − | 0.534120i | \(-0.179357\pi\) | |||||||
\(984\) | −2.72995e12 | − | 1.57614e12i | −0.0928276 | − | 0.0535940i | ||||
\(985\) | 1.29865e13 | + | 1.38105e13i | 0.439572 | + | 0.467461i | ||||
\(986\) | − | 2.96324e13i | − | 0.998437i | ||||||
\(987\) | −3.05045e12 | + | 4.79034e10i | −0.102314 | + | 0.00160672i | ||||
\(988\) | −8.75841e13 | − | 8.75841e13i | −2.92428 | − | 2.92428i | ||||
\(989\) | 2.83636e13 | − | 1.63757e13i | 0.942708 | − | 0.544273i | ||||
\(990\) | −7.75031e13 | − | 2.33422e13i | −2.56425 | − | 0.772296i | ||||
\(991\) | −2.13973e13 | + | 3.70613e13i | −0.704739 | + | 1.22064i | 0.262047 | + | 0.965055i | \(0.415602\pi\) |
−0.966786 | + | 0.255588i | \(0.917731\pi\) | |||||||
\(992\) | 1.91341e12 | − | 7.14093e12i | 0.0627343 | − | 0.234128i | ||||
\(993\) | −1.84998e12 | + | 1.84998e12i | −0.0603803 | + | 0.0603803i | ||||
\(994\) | −2.85900e13 | − | 7.18147e12i | −0.928913 | − | 0.233332i | ||||
\(995\) | 4.78885e12 | + | 2.96472e12i | 0.154891 | + | 0.0958913i | ||||
\(996\) | −1.06826e12 | − | 1.85029e12i | −0.0343963 | − | 0.0595761i | ||||
\(997\) | −5.08668e12 | + | 1.36297e12i | −0.163045 | + | 0.0436877i | −0.339418 | − | 0.940636i | \(-0.610230\pi\) |
0.176373 | + | 0.984323i | \(0.443563\pi\) | |||||||
\(998\) | 2.35844e13 | − | 6.31941e12i | 0.752553 | − | 0.201646i | ||||
\(999\) | −2.52327e12 | − | 4.37044e12i | −0.0801530 | − | 0.138829i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 35.10.k.a.3.2 | ✓ | 136 | |
5.2 | odd | 4 | inner | 35.10.k.a.17.33 | yes | 136 | |
7.5 | odd | 6 | inner | 35.10.k.a.33.33 | yes | 136 | |
35.12 | even | 12 | inner | 35.10.k.a.12.2 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
35.10.k.a.3.2 | ✓ | 136 | 1.1 | even | 1 | trivial | |
35.10.k.a.12.2 | yes | 136 | 35.12 | even | 12 | inner | |
35.10.k.a.17.33 | yes | 136 | 5.2 | odd | 4 | inner | |
35.10.k.a.33.33 | yes | 136 | 7.5 | odd | 6 | inner |