Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [7,12,Mod(2,7)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(7, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("7.2");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 7 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 7.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: | \(5.37840226392\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 1846 x^{10} + 9475 x^{9} + 2735534 x^{8} + 11305015 x^{7} + 1247863105 x^{6} + \cdots + 4089842896896 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 2^{20}\cdot 3^{3}\cdot 7^{6} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Root | \(19.2454 + 33.3340i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 7.4 |
Dual form | 7.12.c.a.2.1 |
$q$-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 \(\left(\mathbb{Z}/7\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −36.4908 | − | 63.2040i | −0.806341 | − | 1.39662i | −0.915382 | − | 0.402586i | \(-0.868111\pi\) |
0.109041 | − | 0.994037i | \(-0.465222\pi\) | |||||||
\(3\) | −167.747 | + | 290.547i | −0.398555 | + | 0.690318i | −0.993548 | − | 0.113413i | \(-0.963822\pi\) |
0.594993 | + | 0.803731i | \(0.297155\pi\) | |||||||
\(4\) | −1639.16 | + | 2839.11i | −0.800372 | + | 1.38628i | ||||
\(5\) | −539.162 | − | 933.856i | −0.0771585 | − | 0.133643i | 0.824864 | − | 0.565331i | \(-0.191251\pi\) |
−0.902023 | + | 0.431688i | \(0.857918\pi\) | |||||||
\(6\) | 24484.9 | 1.28549 | ||||||||
\(7\) | 44465.4 | + | 388.777i | 0.999962 | + | 0.00874301i | ||||
\(8\) | 89790.9 | 0.968808 | ||||||||
\(9\) | 32295.3 | + | 55937.0i | 0.182308 | + | 0.315766i | ||||
\(10\) | −39348.9 | + | 68154.3i | −0.124432 | + | 0.215523i | ||||
\(11\) | −413574. | + | 716332.i | −0.774273 | + | 1.34108i | 0.160930 | + | 0.986966i | \(0.448551\pi\) |
−0.935202 | + | 0.354114i | \(0.884783\pi\) | |||||||
\(12\) | −549929. | − | 952506.i | −0.637984 | − | 1.10502i | ||||
\(13\) | 1.32230e6 | 0.987735 | 0.493867 | − | 0.869537i | \(-0.335583\pi\) | ||||
0.493867 | + | 0.869537i | \(0.335583\pi\) | |||||||
\(14\) | −1.59801e6 | − | 2.82458e6i | −0.794099 | − | 1.40362i | ||||
\(15\) | 361771. | 0.123008 | ||||||||
\(16\) | 80456.0 | + | 139354.i | 0.0191822 | + | 0.0332245i | ||||
\(17\) | −4.99342e6 | + | 8.64886e6i | −0.852961 | + | 1.47737i | 0.0255621 | + | 0.999673i | \(0.491862\pi\) |
−0.878523 | + | 0.477699i | \(0.841471\pi\) | |||||||
\(18\) | 2.35696e6 | − | 4.08238e6i | 0.294004 | − | 0.509230i | ||||
\(19\) | −2.37271e6 | − | 4.10965e6i | −0.219836 | − | 0.380768i | 0.734921 | − | 0.678152i | \(-0.237219\pi\) |
−0.954758 | + | 0.297385i | \(0.903886\pi\) | |||||||
\(20\) | 3.53509e6 | 0.247022 | ||||||||
\(21\) | −7.57191e6 | + | 1.28541e7i | −0.404575 | + | 0.686807i | ||||
\(22\) | 6.03667e7 | 2.49731 | ||||||||
\(23\) | 1.93826e6 | + | 3.35717e6i | 0.0627928 | + | 0.108760i | 0.895713 | − | 0.444633i | \(-0.146666\pi\) |
−0.832920 | + | 0.553393i | \(0.813333\pi\) | |||||||
\(24\) | −1.50622e7 | + | 2.60885e7i | −0.386123 | + | 0.668785i | ||||
\(25\) | 2.38327e7 | − | 4.12794e7i | 0.488093 | − | 0.845402i | ||||
\(26\) | −4.82517e7 | − | 8.35744e7i | −0.796451 | − | 1.37949i | ||||
\(27\) | −8.11016e7 | −1.08775 | ||||||||
\(28\) | −7.39898e7 | + | 1.25605e8i | −0.812461 | + | 1.37923i | ||||
\(29\) | 1.61895e7 | 0.146569 | 0.0732847 | − | 0.997311i | \(-0.476652\pi\) | ||||
0.0732847 | + | 0.997311i | \(0.476652\pi\) | |||||||
\(30\) | −1.32013e7 | − | 2.28654e7i | −0.0991862 | − | 0.171795i | ||||
\(31\) | −8.44561e7 | + | 1.46282e8i | −0.529836 | + | 0.917703i | 0.469558 | + | 0.882902i | \(0.344413\pi\) |
−0.999394 | + | 0.0348015i | \(0.988920\pi\) | |||||||
\(32\) | 9.78177e7 | − | 1.69425e8i | 0.515339 | − | 0.892593i | ||||
\(33\) | −1.38752e8 | − | 2.40325e8i | −0.617181 | − | 1.06899i | ||||
\(34\) | 7.28857e8 | 2.75111 | ||||||||
\(35\) | −2.36110e7 | − | 4.17339e7i | −0.0759872 | − | 0.134312i | ||||
\(36\) | −2.11749e8 | −0.583656 | ||||||||
\(37\) | 2.41761e8 | + | 4.18743e8i | 0.573162 | + | 0.992746i | 0.996239 | + | 0.0866522i | \(0.0276169\pi\) |
−0.423076 | + | 0.906094i | \(0.639050\pi\) | |||||||
\(38\) | −1.73164e8 | + | 2.99929e8i | −0.354526 | + | 0.614057i | ||||
\(39\) | −2.21811e8 | + | 3.84189e8i | −0.393667 | + | 0.681851i | ||||
\(40\) | −4.84118e7 | − | 8.38518e7i | −0.0747518 | − | 0.129474i | ||||
\(41\) | −3.92340e8 | −0.528873 | −0.264437 | − | 0.964403i | \(-0.585186\pi\) | ||||
−0.264437 | + | 0.964403i | \(0.585186\pi\) | |||||||
\(42\) | 1.08873e9 | + | 9.51918e6i | 1.28544 | + | 0.0112390i | ||||
\(43\) | −3.00642e8 | −0.311870 | −0.155935 | − | 0.987767i | \(-0.549839\pi\) | ||||
−0.155935 | + | 0.987767i | \(0.549839\pi\) | |||||||
\(44\) | −1.35583e9 | − | 2.34837e9i | −1.23941 | − | 2.14672i | ||||
\(45\) | 3.48247e7 | − | 6.03182e7i | 0.0281332 | − | 0.0487281i | ||||
\(46\) | 1.41458e8 | − | 2.45012e8i | 0.101265 | − | 0.175396i | ||||
\(47\) | 9.27181e8 | + | 1.60592e9i | 0.589694 | + | 1.02138i | 0.994272 | + | 0.106876i | \(0.0340848\pi\) |
−0.404579 | + | 0.914503i | \(0.632582\pi\) | |||||||
\(48\) | −5.39851e7 | −0.0305807 | ||||||||
\(49\) | 1.97702e9 | + | 3.45743e7i | 0.999847 | + | 0.0174854i | ||||
\(50\) | −3.47870e9 | −1.57428 | ||||||||
\(51\) | −1.67527e9 | − | 2.90165e9i | −0.679904 | − | 1.17763i | ||||
\(52\) | −2.16746e9 | + | 3.75414e9i | −0.790555 | + | 1.36928i | ||||
\(53\) | 1.14754e9 | − | 1.98760e9i | 0.376921 | − | 0.652846i | −0.613692 | − | 0.789546i | \(-0.710316\pi\) |
0.990613 | + | 0.136700i | \(0.0436495\pi\) | |||||||
\(54\) | 2.95946e9 | + | 5.12594e9i | 0.877096 | + | 1.51918i | ||||
\(55\) | 8.91934e8 | 0.238967 | ||||||||
\(56\) | 3.99259e9 | + | 3.49086e7i | 0.968771 | + | 0.00847030i | ||||
\(57\) | 1.59206e9 | 0.350468 | ||||||||
\(58\) | −5.90767e8 | − | 1.02324e9i | −0.118185 | − | 0.204702i | ||||
\(59\) | 1.76491e9 | − | 3.05692e9i | 0.321393 | − | 0.556670i | −0.659382 | − | 0.751808i | \(-0.729182\pi\) |
0.980776 | + | 0.195138i | \(0.0625155\pi\) | |||||||
\(60\) | −5.93002e8 | + | 1.02711e9i | −0.0984519 | + | 0.170524i | ||||
\(61\) | −3.52414e9 | − | 6.10399e9i | −0.534243 | − | 0.925336i | −0.999200 | − | 0.0400025i | \(-0.987263\pi\) |
0.464957 | − | 0.885333i | \(-0.346070\pi\) | |||||||
\(62\) | 1.23275e10 | 1.70891 | ||||||||
\(63\) | 1.41428e9 | + | 2.49982e9i | 0.179540 | + | 0.317348i | ||||
\(64\) | −1.39483e10 | −1.62379 | ||||||||
\(65\) | −7.12931e8 | − | 1.23483e9i | −0.0762122 | − | 0.132003i | ||||
\(66\) | −1.01263e10 | + | 1.75393e10i | −0.995316 | + | 1.72394i | ||||
\(67\) | −3.55195e9 | + | 6.15215e9i | −0.321407 | + | 0.556693i | −0.980779 | − | 0.195124i | \(-0.937489\pi\) |
0.659372 | + | 0.751817i | \(0.270822\pi\) | |||||||
\(68\) | −1.63701e10 | − | 2.83538e10i | −1.36537 | − | 2.36489i | ||||
\(69\) | −1.30055e9 | −0.100106 | ||||||||
\(70\) | −1.77616e9 | + | 3.01521e9i | −0.126312 | + | 0.214427i | ||||
\(71\) | 1.47207e10 | 0.968293 | 0.484147 | − | 0.874987i | \(-0.339130\pi\) | ||||
0.484147 | + | 0.874987i | \(0.339130\pi\) | |||||||
\(72\) | 2.89982e9 | + | 5.02264e9i | 0.176621 | + | 0.305917i | ||||
\(73\) | −1.17988e9 | + | 2.04362e9i | −0.0666136 | + | 0.115378i | −0.897409 | − | 0.441200i | \(-0.854553\pi\) |
0.830795 | + | 0.556579i | \(0.187886\pi\) | |||||||
\(74\) | 1.76442e10 | − | 3.05606e10i | 0.924329 | − | 1.60098i | ||||
\(75\) | 7.99573e9 | + | 1.38490e10i | 0.389064 | + | 0.673879i | ||||
\(76\) | 1.55570e10 | 0.703803 | ||||||||
\(77\) | −1.86683e10 | + | 3.16912e10i | −0.785968 | + | 1.33426i | ||||
\(78\) | 3.23763e10 | 1.26972 | ||||||||
\(79\) | −4.25070e8 | − | 7.36243e8i | −0.0155422 | − | 0.0269198i | 0.858150 | − | 0.513400i | \(-0.171614\pi\) |
−0.873692 | + | 0.486480i | \(0.838281\pi\) | |||||||
\(80\) | 8.67576e7 | − | 1.50269e8i | 0.00296014 | − | 0.00512711i | ||||
\(81\) | 7.88355e9 | − | 1.36547e10i | 0.251220 | − | 0.435126i | ||||
\(82\) | 1.43168e10 | + | 2.47975e10i | 0.426452 | + | 0.738637i | ||||
\(83\) | −5.73280e10 | −1.59749 | −0.798744 | − | 0.601671i | \(-0.794502\pi\) | ||||
−0.798744 | + | 0.601671i | \(0.794502\pi\) | |||||||
\(84\) | −2.40825e10 | − | 4.25674e10i | −0.628299 | − | 1.11056i | ||||
\(85\) | 1.07691e10 | 0.263253 | ||||||||
\(86\) | 1.09707e10 | + | 1.90018e10i | 0.251474 | + | 0.435565i | ||||
\(87\) | −2.71574e9 | + | 4.70380e9i | −0.0584160 | + | 0.101180i | ||||
\(88\) | −3.71352e10 | + | 6.43201e10i | −0.750121 | + | 1.29925i | ||||
\(89\) | −2.25775e10 | − | 3.91054e10i | −0.428579 | − | 0.742321i | 0.568168 | − | 0.822913i | \(-0.307652\pi\) |
−0.996747 | + | 0.0805916i | \(0.974319\pi\) | |||||||
\(90\) | −5.08313e9 | −0.0907398 | ||||||||
\(91\) | 5.87965e10 | + | 5.14078e8i | 0.987697 | + | 0.00863578i | ||||
\(92\) | −1.27085e10 | −0.201030 | ||||||||
\(93\) | −2.83345e10 | − | 4.90769e10i | −0.422338 | − | 0.731510i | ||||
\(94\) | 6.76672e10 | − | 1.17203e11i | 0.950988 | − | 1.64716i | ||||
\(95\) | −2.55855e9 | + | 4.43153e9i | −0.0339245 | + | 0.0587590i | ||||
\(96\) | 3.28173e10 | + | 5.68412e10i | 0.410782 | + | 0.711495i | ||||
\(97\) | −5.64688e10 | −0.667673 | −0.333837 | − | 0.942631i | \(-0.608343\pi\) | ||||
−0.333837 | + | 0.942631i | \(0.608343\pi\) | |||||||
\(98\) | −6.99580e10 | − | 1.26217e11i | −0.781797 | − | 1.41051i | ||||
\(99\) | −5.34260e10 | −0.564623 | ||||||||
\(100\) | 7.81312e10 | + | 1.35327e11i | 0.781312 | + | 1.35327i | ||||
\(101\) | 3.20492e10 | − | 5.55109e10i | 0.303424 | − | 0.525546i | −0.673485 | − | 0.739201i | \(-0.735203\pi\) |
0.976909 | + | 0.213655i | \(0.0685367\pi\) | |||||||
\(102\) | −1.22264e11 | + | 2.11767e11i | −1.09647 | + | 1.89914i | ||||
\(103\) | 9.56613e10 | + | 1.65690e11i | 0.813076 | + | 1.40829i | 0.910701 | + | 0.413066i | \(0.135542\pi\) |
−0.0976244 | + | 0.995223i | \(0.531124\pi\) | |||||||
\(104\) | 1.18730e11 | 0.956925 | ||||||||
\(105\) | 1.60863e10 | + | 1.40648e8i | 0.123003 | + | 0.00107546i | ||||
\(106\) | −1.67499e11 | −1.21571 | ||||||||
\(107\) | 8.06123e10 | + | 1.39625e11i | 0.555636 | + | 0.962390i | 0.997854 | + | 0.0654825i | \(0.0208587\pi\) |
−0.442217 | + | 0.896908i | \(0.645808\pi\) | |||||||
\(108\) | 1.32939e11 | − | 2.30256e11i | 0.870603 | − | 1.50793i | ||||
\(109\) | 1.43398e11 | − | 2.48373e11i | 0.892686 | − | 1.54618i | 0.0560425 | − | 0.998428i | \(-0.482152\pi\) |
0.836643 | − | 0.547748i | \(-0.184515\pi\) | |||||||
\(110\) | −3.25474e10 | − | 5.63738e10i | −0.192689 | − | 0.333747i | ||||
\(111\) | −1.62219e11 | −0.913747 | ||||||||
\(112\) | 3.52333e9 | + | 6.22771e9i | 0.0188910 | + | 0.0333910i | ||||
\(113\) | 2.34601e11 | 1.19784 | 0.598920 | − | 0.800809i | \(-0.295597\pi\) | ||||
0.598920 | + | 0.800809i | \(0.295597\pi\) | |||||||
\(114\) | −5.80956e10 | − | 1.00625e11i | −0.282596 | − | 0.489471i | ||||
\(115\) | 2.09008e9 | − | 3.62012e9i | 0.00969001 | − | 0.0167836i | ||||
\(116\) | −2.65371e10 | + | 4.59637e10i | −0.117310 | + | 0.203187i | ||||
\(117\) | 4.27039e10 | + | 7.39653e10i | 0.180072 | + | 0.311893i | ||||
\(118\) | −2.57612e11 | −1.03661 | ||||||||
\(119\) | −2.25397e11 | + | 3.82634e11i | −0.865845 | + | 1.46986i | ||||
\(120\) | 3.24838e10 | 0.119171 | ||||||||
\(121\) | −1.99432e11 | − | 3.45426e11i | −0.698996 | − | 1.21070i | ||||
\(122\) | −2.57197e11 | + | 4.45479e11i | −0.861564 | + | 1.49227i | ||||
\(123\) | 6.58140e10 | − | 1.13993e11i | 0.210785 | − | 0.365090i | ||||
\(124\) | −2.76874e11 | − | 4.79560e11i | −0.848132 | − | 1.46901i | ||||
\(125\) | −1.04051e11 | −0.304959 | ||||||||
\(126\) | 1.06390e11 | − | 1.80608e11i | 0.298445 | − | 0.506640i | ||||
\(127\) | 3.63415e11 | 0.976073 | 0.488037 | − | 0.872823i | \(-0.337713\pi\) | ||||
0.488037 | + | 0.872823i | \(0.337713\pi\) | |||||||
\(128\) | 3.08653e11 | + | 5.34602e11i | 0.793990 | + | 1.37523i | ||||
\(129\) | 5.04319e10 | − | 8.73507e10i | 0.124297 | − | 0.215289i | ||||
\(130\) | −5.20309e10 | + | 9.01202e10i | −0.122906 | + | 0.212879i | ||||
\(131\) | −1.29024e11 | − | 2.23477e11i | −0.292200 | − | 0.506105i | 0.682130 | − | 0.731231i | \(-0.261054\pi\) |
−0.974330 | + | 0.225126i | \(0.927721\pi\) | |||||||
\(132\) | 9.09747e11 | 1.97590 | ||||||||
\(133\) | −1.03906e11 | − | 1.83660e11i | −0.216499 | − | 0.382675i | ||||
\(134\) | 5.18454e11 | 1.03665 | ||||||||
\(135\) | 4.37269e10 | + | 7.57372e10i | 0.0839291 | + | 0.145369i | ||||
\(136\) | −4.48364e11 | + | 7.76590e11i | −0.826356 | + | 1.43129i | ||||
\(137\) | 1.94886e11 | − | 3.37553e11i | 0.344999 | − | 0.597556i | −0.640354 | − | 0.768080i | \(-0.721212\pi\) |
0.985354 | + | 0.170523i | \(0.0545458\pi\) | |||||||
\(138\) | 4.74583e10 | + | 8.22002e10i | 0.0807192 | + | 0.139810i | ||||
\(139\) | 5.34527e11 | 0.873752 | 0.436876 | − | 0.899522i | \(-0.356085\pi\) | ||||
0.436876 | + | 0.899522i | \(0.356085\pi\) | |||||||
\(140\) | 1.57189e11 | + | 1.37436e9i | 0.247013 | + | 0.00215972i | ||||
\(141\) | −6.22128e11 | −0.940101 | ||||||||
\(142\) | −5.37170e11 | − | 9.30405e11i | −0.780774 | − | 1.35234i | ||||
\(143\) | −5.46868e11 | + | 9.47203e11i | −0.764776 | + | 1.32463i | ||||
\(144\) | −5.19669e9 | + | 9.00094e9i | −0.00699412 | + | 0.0121142i | ||||
\(145\) | −8.72874e9 | − | 1.51186e10i | −0.0113091 | − | 0.0195879i | ||||
\(146\) | 1.72220e11 | 0.214853 | ||||||||
\(147\) | −3.41686e11 | + | 5.68618e11i | −0.410565 | + | 0.683243i | ||||
\(148\) | −1.58514e12 | −1.83497 | ||||||||
\(149\) | −4.03376e10 | − | 6.98667e10i | −0.0449972 | − | 0.0779374i | 0.842650 | − | 0.538462i | \(-0.180995\pi\) |
−0.887647 | + | 0.460525i | \(0.847661\pi\) | |||||||
\(150\) | 5.83541e11 | − | 1.01072e12i | 0.627436 | − | 1.08675i | ||||
\(151\) | −1.16376e10 | + | 2.01570e10i | −0.0120640 | + | 0.0208955i | −0.871994 | − | 0.489516i | \(-0.837174\pi\) |
0.859930 | + | 0.510411i | \(0.170507\pi\) | |||||||
\(152\) | −2.13048e11 | − | 3.69009e11i | −0.212979 | − | 0.368891i | ||||
\(153\) | −6.45056e11 | −0.622006 | ||||||||
\(154\) | 2.68423e12 | + | 2.34692e10i | 2.49722 | + | 0.0218340i | ||||
\(155\) | 1.82142e11 | 0.163526 | ||||||||
\(156\) | −7.27169e11 | − | 1.25949e12i | −0.630159 | − | 1.09147i | ||||
\(157\) | 6.23150e10 | − | 1.07933e11i | 0.0521368 | − | 0.0903036i | −0.838779 | − | 0.544472i | \(-0.816730\pi\) |
0.890916 | + | 0.454168i | \(0.150063\pi\) | |||||||
\(158\) | −3.10223e10 | + | 5.37323e10i | −0.0250646 | + | 0.0434131i | ||||
\(159\) | 3.84993e11 | + | 6.66827e11i | 0.300448 | + | 0.520390i | ||||
\(160\) | −2.10958e11 | −0.159051 | ||||||||
\(161\) | 8.48806e10 | + | 1.50032e11i | 0.0618395 | + | 0.109305i | ||||
\(162\) | −1.15071e12 | −0.810276 | ||||||||
\(163\) | 3.47813e11 | + | 6.02430e11i | 0.236763 | + | 0.410086i | 0.959784 | − | 0.280741i | \(-0.0905801\pi\) |
−0.723020 | + | 0.690827i | \(0.757247\pi\) | |||||||
\(164\) | 6.43109e11 | − | 1.11390e12i | 0.423295 | − | 0.733169i | ||||
\(165\) | −1.49619e11 | + | 2.59148e11i | −0.0952415 | + | 0.164963i | ||||
\(166\) | 2.09195e12 | + | 3.62336e12i | 1.28812 | + | 2.23109i | ||||
\(167\) | −7.05406e11 | −0.420241 | −0.210121 | − | 0.977675i | \(-0.567386\pi\) | ||||
−0.210121 | + | 0.977675i | \(0.567386\pi\) | |||||||
\(168\) | −6.79889e11 | + | 1.15418e12i | −0.391956 | + | 0.665384i | ||||
\(169\) | −4.36938e10 | −0.0243805 | ||||||||
\(170\) | −3.92972e11 | − | 6.80647e11i | −0.212272 | − | 0.367665i | ||||
\(171\) | 1.53254e11 | − | 2.65445e11i | 0.0801557 | − | 0.138834i | ||||
\(172\) | 4.92801e11 | − | 8.53557e11i | 0.249612 | − | 0.432341i | ||||
\(173\) | −8.85590e11 | − | 1.53389e12i | −0.434489 | − | 0.752557i | 0.562765 | − | 0.826617i | \(-0.309738\pi\) |
−0.997254 | + | 0.0740598i | \(0.976404\pi\) | |||||||
\(174\) | 3.96398e11 | 0.188413 | ||||||||
\(175\) | 1.07578e12 | − | 1.82624e12i | 0.495466 | − | 0.841102i | ||||
\(176\) | −1.33098e11 | −0.0594090 | ||||||||
\(177\) | 5.92118e11 | + | 1.02558e12i | 0.256186 | + | 0.443727i | ||||
\(178\) | −1.64774e12 | + | 2.85398e12i | −0.691162 | + | 1.19713i | ||||
\(179\) | 2.11408e10 | − | 3.66170e10i | 0.00859864 | − | 0.0148933i | −0.861694 | − | 0.507428i | \(-0.830596\pi\) |
0.870293 | + | 0.492535i | \(0.163930\pi\) | |||||||
\(180\) | 1.14167e11 | + | 1.97743e11i | 0.0450340 | + | 0.0780012i | ||||
\(181\) | 4.50663e12 | 1.72433 | 0.862163 | − | 0.506631i | \(-0.169109\pi\) | ||||
0.862163 | + | 0.506631i | \(0.169109\pi\) | |||||||
\(182\) | −2.11304e12 | − | 3.73493e12i | −0.784359 | − | 1.38640i | ||||
\(183\) | 2.36466e12 | 0.851701 | ||||||||
\(184\) | 1.74039e11 | + | 3.01444e11i | 0.0608342 | + | 0.105368i | ||||
\(185\) | 2.60697e11 | − | 4.51541e11i | 0.0884487 | − | 0.153198i | ||||
\(186\) | −2.06790e12 | + | 3.58171e12i | −0.681096 | + | 1.17969i | ||||
\(187\) | −4.13031e12 | − | 7.15390e12i | −1.32085 | − | 2.28778i | ||||
\(188\) | −6.07920e12 | −1.88790 | ||||||||
\(189\) | −3.60622e12 | − | 3.15304e10i | −1.08771 | − | 0.00951020i | ||||
\(190\) | 3.73454e11 | 0.109419 | ||||||||
\(191\) | 1.23223e12 | + | 2.13428e12i | 0.350758 | + | 0.607531i | 0.986383 | − | 0.164467i | \(-0.0525905\pi\) |
−0.635624 | + | 0.771999i | \(0.719257\pi\) | |||||||
\(192\) | 2.33978e12 | − | 4.05262e12i | 0.647170 | − | 1.12093i | ||||
\(193\) | −3.99956e11 | + | 6.92744e11i | −0.107510 | + | 0.186212i | −0.914761 | − | 0.403996i | \(-0.867621\pi\) |
0.807251 | + | 0.590208i | \(0.200954\pi\) | |||||||
\(194\) | 2.06059e12 | + | 3.56905e12i | 0.538372 | + | 0.932488i | ||||
\(195\) | 4.78369e11 | 0.121499 | ||||||||
\(196\) | −3.33882e12 | + | 5.55632e12i | −0.824489 | + | 1.37208i | ||||
\(197\) | 5.52223e12 | 1.32602 | 0.663011 | − | 0.748610i | \(-0.269278\pi\) | ||||
0.663011 | + | 0.748610i | \(0.269278\pi\) | |||||||
\(198\) | 1.94956e12 | + | 3.37673e12i | 0.455279 | + | 0.788566i | ||||
\(199\) | −3.07871e12 | + | 5.33248e12i | −0.699321 | + | 1.21126i | 0.269381 | + | 0.963034i | \(0.413181\pi\) |
−0.968702 | + | 0.248226i | \(0.920152\pi\) | |||||||
\(200\) | 2.13996e12 | − | 3.70652e12i | 0.472868 | − | 0.819032i | ||||
\(201\) | −1.19166e12 | − | 2.06401e12i | −0.256197 | − | 0.443745i | ||||
\(202\) | −4.67801e12 | −0.978653 | ||||||||
\(203\) | 7.19872e11 | + | 6.29409e9i | 0.146564 | + | 0.00128146i | ||||
\(204\) | 1.09841e13 | 2.17670 | ||||||||
\(205\) | 2.11535e11 | + | 3.66389e11i | 0.0408071 | + | 0.0706799i | ||||
\(206\) | 6.98152e12 | − | 1.20923e13i | 1.31123 | − | 2.27112i | ||||
\(207\) | −1.25194e11 | + | 2.16842e11i | −0.0228952 | + | 0.0396557i | ||||
\(208\) | 1.06387e11 | + | 1.84267e11i | 0.0189469 | + | 0.0328170i | ||||
\(209\) | 3.92517e12 | 0.680853 | ||||||||
\(210\) | −5.78114e11 | − | 1.02185e12i | −0.0976804 | − | 0.172656i | ||||
\(211\) | −4.04070e12 | −0.665124 | −0.332562 | − | 0.943081i | \(-0.607913\pi\) | ||||
−0.332562 | + | 0.943081i | \(0.607913\pi\) | |||||||
\(212\) | 3.76200e12 | + | 6.51598e12i | 0.603354 | + | 1.04504i | ||||
\(213\) | −2.46935e12 | + | 4.27704e12i | −0.385918 | + | 0.668430i | ||||
\(214\) | 5.88322e12 | − | 1.01900e13i | 0.896065 | − | 1.55203i | ||||
\(215\) | 1.62095e11 | + | 2.80757e11i | 0.0240634 | + | 0.0416791i | ||||
\(216\) | −7.28219e12 | −1.05382 | ||||||||
\(217\) | −3.81225e12 | + | 6.47167e12i | −0.537839 | + | 0.913036i | ||||
\(218\) | −2.09309e13 | −2.87924 | ||||||||
\(219\) | −3.95844e11 | − | 6.85622e11i | −0.0530984 | − | 0.0919691i | ||||
\(220\) | −1.46202e12 | + | 2.53230e12i | −0.191262 | + | 0.331276i | ||||
\(221\) | −6.60278e12 | + | 1.14364e13i | −0.842499 | + | 1.45925i | ||||
\(222\) | 5.91951e12 | + | 1.02529e13i | 0.736792 | + | 1.27616i | ||||
\(223\) | 2.87811e12 | 0.349487 | 0.174743 | − | 0.984614i | \(-0.444090\pi\) | ||||
0.174743 | + | 0.984614i | \(0.444090\pi\) | |||||||
\(224\) | 4.41538e12 | − | 7.49554e12i | 0.523123 | − | 0.888053i | ||||
\(225\) | 3.07873e12 | 0.355933 | ||||||||
\(226\) | −8.56080e12 | − | 1.48277e13i | −0.965868 | − | 1.67293i | ||||
\(227\) | 6.89094e12 | − | 1.19355e13i | 0.758816 | − | 1.31431i | −0.184639 | − | 0.982806i | \(-0.559111\pi\) |
0.943455 | − | 0.331501i | \(-0.107555\pi\) | |||||||
\(228\) | −2.60964e12 | + | 4.52004e12i | −0.280504 | + | 0.485848i | ||||
\(229\) | −3.59326e12 | − | 6.22371e12i | −0.377045 | − | 0.653061i | 0.613586 | − | 0.789628i | \(-0.289727\pi\) |
−0.990631 | + | 0.136567i | \(0.956393\pi\) | |||||||
\(230\) | −3.05074e11 | −0.0312538 | ||||||||
\(231\) | −6.07623e12 | − | 1.07401e13i | −0.607811 | − | 1.07434i | ||||
\(232\) | 1.45367e12 | 0.141998 | ||||||||
\(233\) | 3.54696e12 | + | 6.14351e12i | 0.338375 | + | 0.586083i | 0.984127 | − | 0.177464i | \(-0.0567894\pi\) |
−0.645752 | + | 0.763547i | \(0.723456\pi\) | |||||||
\(234\) | 3.11660e12 | − | 5.39811e12i | 0.290398 | − | 0.502984i | ||||
\(235\) | 9.99801e11 | − | 1.73171e12i | 0.0909998 | − | 0.157616i | ||||
\(236\) | 5.78595e12 | + | 1.00216e13i | 0.514468 | + | 0.891085i | ||||
\(237\) | 2.85217e11 | 0.0247777 | ||||||||
\(238\) | 3.24089e13 | + | 2.83363e11i | 2.75101 | + | 0.0240530i | ||||
\(239\) | 7.56124e11 | 0.0627198 | 0.0313599 | − | 0.999508i | \(-0.490016\pi\) | ||||
0.0313599 | + | 0.999508i | \(0.490016\pi\) | |||||||
\(240\) | 2.91067e10 | + | 5.04142e10i | 0.00235956 | + | 0.00408688i | ||||
\(241\) | −9.04581e12 | + | 1.56678e13i | −0.716727 | + | 1.24141i | 0.245563 | + | 0.969381i | \(0.421027\pi\) |
−0.962290 | + | 0.272027i | \(0.912306\pi\) | |||||||
\(242\) | −1.45549e13 | + | 2.52098e13i | −1.12726 | + | 1.95247i | ||||
\(243\) | −4.53856e12 | − | 7.86102e12i | −0.343624 | − | 0.595175i | ||||
\(244\) | 2.31065e13 | 1.71037 | ||||||||
\(245\) | −1.03365e12 | − | 1.86490e12i | −0.0748100 | − | 0.134971i | ||||
\(246\) | −9.60642e12 | −0.679859 | ||||||||
\(247\) | −3.13742e12 | − | 5.43418e12i | −0.217140 | − | 0.376097i | ||||
\(248\) | −7.58339e12 | + | 1.31348e13i | −0.513309 | + | 0.889078i | ||||
\(249\) | 9.61662e12 | − | 1.66565e13i | 0.636687 | − | 1.10277i | ||||
\(250\) | 3.79691e12 | + | 6.57645e12i | 0.245901 | + | 0.425913i | ||||
\(251\) | −3.96098e12 | −0.250956 | −0.125478 | − | 0.992096i | \(-0.540046\pi\) | ||||
−0.125478 | + | 0.992096i | \(0.540046\pi\) | |||||||
\(252\) | −9.41549e12 | − | 8.23229e10i | −0.583633 | − | 0.00510291i | ||||
\(253\) | −3.20647e12 | −0.194475 | ||||||||
\(254\) | −1.32613e13 | − | 2.29693e13i | −0.787048 | − | 1.36321i | ||||
\(255\) | −1.80648e12 | + | 3.12891e12i | −0.104921 | + | 0.181728i | ||||
\(256\) | 8.24297e12 | − | 1.42772e13i | 0.468558 | − | 0.811567i | ||||
\(257\) | 9.75899e12 | + | 1.69031e13i | 0.542966 | + | 0.940445i | 0.998732 | + | 0.0503450i | \(0.0160321\pi\) |
−0.455766 | + | 0.890100i | \(0.650635\pi\) | |||||||
\(258\) | −7.36121e12 | −0.400904 | ||||||||
\(259\) | 1.05872e13 | + | 1.87136e13i | 0.564461 | + | 0.997719i | ||||
\(260\) | 4.67444e12 | 0.243992 | ||||||||
\(261\) | 5.22843e11 | + | 9.05591e11i | 0.0267207 | + | 0.0462817i | ||||
\(262\) | −9.41642e12 | + | 1.63097e13i | −0.471225 | + | 0.816186i | ||||
\(263\) | 1.87228e13 | − | 3.24288e13i | 0.917517 | − | 1.58919i | 0.114344 | − | 0.993441i | \(-0.463523\pi\) |
0.803173 | − | 0.595745i | \(-0.203143\pi\) | |||||||
\(264\) | −1.24587e13 | − | 2.15790e13i | −0.597929 | − | 1.03564i | ||||
\(265\) | −2.47484e12 | −0.116331 | ||||||||
\(266\) | −7.81643e12 | + | 1.32692e13i | −0.359881 | + | 0.610934i | ||||
\(267\) | 1.51493e13 | 0.683250 | ||||||||
\(268\) | −1.16444e13 | − | 2.01687e13i | −0.514490 | − | 0.891122i | ||||
\(269\) | −1.41080e12 | + | 2.44358e12i | −0.0610700 | + | 0.105776i | −0.894944 | − | 0.446179i | \(-0.852785\pi\) |
0.833874 | + | 0.551955i | \(0.186118\pi\) | |||||||
\(270\) | 3.19126e12 | − | 5.52742e12i | 0.135351 | − | 0.234435i | ||||
\(271\) | −1.14487e13 | − | 1.98298e13i | −0.475801 | − | 0.824112i | 0.523814 | − | 0.851832i | \(-0.324509\pi\) |
−0.999616 | + | 0.0277202i | \(0.991175\pi\) | |||||||
\(272\) | −1.60700e12 | −0.0654467 | ||||||||
\(273\) | −1.00123e13 | + | 1.69969e13i | −0.399613 | + | 0.678383i | ||||
\(274\) | −2.84462e13 | −1.11275 | ||||||||
\(275\) | 1.97132e13 | + | 3.41442e13i | 0.755834 | + | 1.30914i | ||||
\(276\) | 2.13182e12 | − | 3.69242e12i | 0.0801217 | − | 0.138775i | ||||
\(277\) | −1.51186e12 | + | 2.61862e12i | −0.0557023 | + | 0.0964792i | −0.892532 | − | 0.450984i | \(-0.851073\pi\) |
0.836830 | + | 0.547463i | \(0.184406\pi\) | |||||||
\(278\) | −1.95053e13 | − | 3.37842e13i | −0.704542 | − | 1.22030i | ||||
\(279\) | −1.09101e13 | −0.386373 | ||||||||
\(280\) | −2.12005e12 | − | 3.74733e12i | −0.0736169 | − | 0.130123i | ||||
\(281\) | 3.51054e13 | 1.19533 | 0.597667 | − | 0.801745i | \(-0.296095\pi\) | ||||
0.597667 | + | 0.801745i | \(0.296095\pi\) | |||||||
\(282\) | 2.27020e13 | + | 3.93210e13i | 0.758042 | + | 1.31297i | ||||
\(283\) | −1.79254e13 | + | 3.10477e13i | −0.587007 | + | 1.01673i | 0.407615 | + | 0.913154i | \(0.366360\pi\) |
−0.994622 | + | 0.103572i | \(0.966973\pi\) | |||||||
\(284\) | −2.41296e13 | + | 4.17936e13i | −0.774994 | + | 1.34233i | ||||
\(285\) | −8.58378e11 | − | 1.48675e12i | −0.0270416 | − | 0.0468374i | ||||
\(286\) | 7.98226e13 | 2.46668 | ||||||||
\(287\) | −1.74456e13 | − | 1.52533e11i | −0.528853 | − | 0.00462395i | ||||
\(288\) | 1.26362e13 | 0.375801 | ||||||||
\(289\) | −3.27326e13 | − | 5.66945e13i | −0.955086 | − | 1.65426i | ||||
\(290\) | −6.37038e11 | + | 1.10338e12i | −0.0182380 | + | 0.0315891i | ||||
\(291\) | 9.47248e12 | − | 1.64068e13i | 0.266105 | − | 0.460907i | ||||
\(292\) | −3.86804e12 | − | 6.69963e12i | −0.106631 | − | 0.184691i | ||||
\(293\) | 3.02237e13 | 0.817665 | 0.408833 | − | 0.912609i | \(-0.365936\pi\) | ||||
0.408833 | + | 0.912609i | \(0.365936\pi\) | |||||||
\(294\) | 4.84073e13 | + | 8.46549e11i | 1.28529 | + | 0.0224772i | ||||
\(295\) | −3.80629e12 | −0.0991930 | ||||||||
\(296\) | 2.17080e13 | + | 3.75993e13i | 0.555284 | + | 0.961780i | ||||
\(297\) | 3.35415e13 | − | 5.80957e13i | 0.842214 | − | 1.45876i | ||||
\(298\) | −2.94390e12 | + | 5.09899e12i | −0.0725661 | + | 0.125688i | ||||
\(299\) | 2.56296e12 | + | 4.43918e12i | 0.0620226 | + | 0.107426i | ||||
\(300\) | −5.24251e13 | −1.24558 | ||||||||
\(301\) | −1.33682e13 | − | 1.16883e11i | −0.311858 | − | 0.00272669i | ||||
\(302\) | 1.69867e12 | 0.0389108 | ||||||||
\(303\) | 1.07523e13 | + | 1.86236e13i | 0.241863 | + | 0.418918i | ||||
\(304\) | 3.81797e11 | − | 6.61292e11i | 0.00843389 | − | 0.0146079i | ||||
\(305\) | −3.80016e12 | + | 6.58207e12i | −0.0824428 | + | 0.142795i | ||||
\(306\) | 2.35386e13 | + | 4.07701e13i | 0.501549 | + | 0.868708i | ||||
\(307\) | −8.06807e13 | −1.68853 | −0.844264 | − | 0.535927i | \(-0.819962\pi\) | ||||
−0.844264 | + | 0.535927i | \(0.819962\pi\) | |||||||
\(308\) | −5.93746e13 | − | 1.04948e14i | −1.22060 | − | 2.15748i | ||||
\(309\) | −6.41876e13 | −1.29622 | ||||||||
\(310\) | −6.64651e12 | − | 1.15121e13i | −0.131857 | − | 0.228384i | ||||
\(311\) | −7.96671e12 | + | 1.37987e13i | −0.155273 | + | 0.268941i | −0.933159 | − | 0.359465i | \(-0.882959\pi\) |
0.777885 | + | 0.628406i | \(0.216292\pi\) | |||||||
\(312\) | −1.99167e13 | + | 3.44967e13i | −0.381387 | + | 0.660582i | ||||
\(313\) | 3.56705e13 | + | 6.17832e13i | 0.671144 | + | 1.16246i | 0.977580 | + | 0.210564i | \(0.0675302\pi\) |
−0.306436 | + | 0.951891i | \(0.599137\pi\) | |||||||
\(314\) | −9.09570e12 | −0.168160 | ||||||||
\(315\) | 1.57195e12 | − | 2.66854e12i | 0.0285581 | − | 0.0484803i | ||||
\(316\) | 2.78704e12 | 0.0497581 | ||||||||
\(317\) | −2.27384e13 | − | 3.93841e13i | −0.398965 | − | 0.691027i | 0.594634 | − | 0.803997i | \(-0.297297\pi\) |
−0.993598 | + | 0.112970i | \(0.963964\pi\) | |||||||
\(318\) | 2.80974e13 | − | 4.86662e13i | 0.484526 | − | 0.839224i | ||||
\(319\) | −6.69555e12 | + | 1.15970e13i | −0.113485 | + | 0.196561i | ||||
\(320\) | 7.52036e12 | + | 1.30257e13i | 0.125289 | + | 0.217007i | ||||
\(321\) | −5.40900e13 | −0.885807 | ||||||||
\(322\) | 6.38524e12 | − | 1.08396e13i | 0.102794 | − | 0.174504i | ||||
\(323\) | 4.73918e13 | 0.750048 | ||||||||
\(324\) | 2.58448e13 | + | 4.47646e13i | 0.402139 | + | 0.696525i | ||||
\(325\) | 3.15138e13 | − | 5.45836e13i | 0.482106 | − | 0.835033i | ||||
\(326\) | 2.53840e13 | − | 4.39663e13i | 0.381824 | − | 0.661338i | ||||
\(327\) | 4.81094e13 | + | 8.33278e13i | 0.711569 | + | 1.23247i | ||||
\(328\) | −3.52286e13 | −0.512376 | ||||||||
\(329\) | 4.06032e13 | + | 7.17686e13i | 0.580741 | + | 1.02650i | ||||
\(330\) | 2.18389e13 | 0.307189 | ||||||||
\(331\) | −3.64258e12 | − | 6.30913e12i | −0.0503912 | − | 0.0872801i | 0.839730 | − | 0.543005i | \(-0.182713\pi\) |
−0.890121 | + | 0.455725i | \(0.849380\pi\) | |||||||
\(332\) | 9.39699e13 | − | 1.62761e14i | 1.27858 | − | 2.21457i | ||||
\(333\) | −1.56155e13 | + | 2.70468e13i | −0.208984 | + | 0.361971i | ||||
\(334\) | 2.57409e13 | + | 4.45845e13i | 0.338858 | + | 0.586919i | ||||
\(335\) | 7.66029e12 | 0.0991971 | ||||||||
\(336\) | −2.40047e12 | − | 2.09881e10i | −0.0305795 | − | 0.000267367i | ||||
\(337\) | 5.05412e13 | 0.633405 | 0.316702 | − | 0.948525i | \(-0.397424\pi\) | ||||
0.316702 | + | 0.948525i | \(0.397424\pi\) | |||||||
\(338\) | 1.59442e12 | + | 2.76162e12i | 0.0196590 | + | 0.0340504i | ||||
\(339\) | −3.93537e13 | + | 6.81626e13i | −0.477405 | + | 0.826891i | ||||
\(340\) | −1.76522e13 | + | 3.05745e13i | −0.210700 | + | 0.364944i | ||||
\(341\) | −6.98577e13 | − | 1.20997e14i | −0.820475 | − | 1.42110i | ||||
\(342\) | −2.23695e13 | −0.258531 | ||||||||
\(343\) | 8.78958e13 | + | 2.30598e12i | 0.999656 | + | 0.0262264i | ||||
\(344\) | −2.69950e13 | −0.302142 | ||||||||
\(345\) | 7.01209e11 | + | 1.21453e12i | 0.00772400 | + | 0.0133784i | ||||
\(346\) | −6.46318e13 | + | 1.11946e14i | −0.700693 | + | 1.21364i | ||||
\(347\) | −4.71089e13 | + | 8.15951e13i | −0.502680 | + | 0.870667i | 0.497316 | + | 0.867570i | \(0.334319\pi\) |
−0.999995 | + | 0.00309689i | \(0.999014\pi\) | |||||||
\(348\) | −8.90306e12 | − | 1.54206e13i | −0.0935090 | − | 0.161962i | ||||
\(349\) | 2.16408e13 | 0.223735 | 0.111867 | − | 0.993723i | \(-0.464317\pi\) | ||||
0.111867 | + | 0.993723i | \(0.464317\pi\) | |||||||
\(350\) | −1.54682e14 | − | 1.35244e12i | −1.57422 | − | 0.0137639i | ||||
\(351\) | −1.07240e14 | −1.07441 | ||||||||
\(352\) | 8.09098e13 | + | 1.40140e14i | 0.798025 | + | 1.38222i | ||||
\(353\) | 6.23956e12 | − | 1.08072e13i | 0.0605889 | − | 0.104943i | −0.834140 | − | 0.551553i | \(-0.814035\pi\) |
0.894729 | + | 0.446610i | \(0.147369\pi\) | |||||||
\(354\) | 4.32137e13 | − | 7.48484e13i | 0.413146 | − | 0.715591i | ||||
\(355\) | −7.93683e12 | − | 1.37470e13i | −0.0747121 | − | 0.129405i | ||||
\(356\) | 1.48033e14 | 1.37209 | ||||||||
\(357\) | −7.33633e13 | − | 1.29674e14i | −0.669582 | − | 1.18353i | ||||
\(358\) | −3.08578e12 | −0.0277338 | ||||||||
\(359\) | 3.31850e13 | + | 5.74781e13i | 0.293712 | + | 0.508725i | 0.974685 | − | 0.223584i | \(-0.0717758\pi\) |
−0.680972 | + | 0.732309i | \(0.738443\pi\) | |||||||
\(360\) | 3.12695e12 | − | 5.41603e12i | 0.0272557 | − | 0.0472082i | ||||
\(361\) | 4.69856e13 | − | 8.13815e13i | 0.403344 | − | 0.698612i | ||||
\(362\) | −1.64450e14 | − | 2.84837e14i | −1.39039 | − | 2.40823i | ||||
\(363\) | 1.33817e14 | 1.11435 | ||||||||
\(364\) | −9.78364e13 | + | 1.66087e14i | −0.802496 | + | 1.36232i | ||||
\(365\) | 2.54459e12 | 0.0205592 | ||||||||
\(366\) | −8.62883e13 | − | 1.49456e14i | −0.686761 | − | 1.18951i | ||||
\(367\) | 9.22536e13 | − | 1.59788e14i | 0.723303 | − | 1.25280i | −0.236366 | − | 0.971664i | \(-0.575957\pi\) |
0.959669 | − | 0.281133i | \(-0.0907102\pi\) | |||||||
\(368\) | −3.11890e11 | + | 5.40209e11i | −0.00240901 | + | 0.00417253i | ||||
\(369\) | −1.26707e13 | − | 2.19463e13i | −0.0964176 | − | 0.167000i | ||||
\(370\) | −3.80522e13 | −0.285279 | ||||||||
\(371\) | 5.17986e13 | − | 8.79332e13i | 0.382614 | − | 0.649526i | ||||
\(372\) | 1.85779e14 | 1.35211 | ||||||||
\(373\) | 3.09994e12 | + | 5.36926e12i | 0.0222308 | + | 0.0385049i | 0.876927 | − | 0.480624i | \(-0.159590\pi\) |
−0.854696 | + | 0.519129i | \(0.826256\pi\) | |||||||
\(374\) | −3.01437e14 | + | 5.22103e14i | −2.13011 | + | 3.68946i | ||||
\(375\) | 1.74543e13 | − | 3.02317e13i | 0.121543 | − | 0.210519i | ||||
\(376\) | 8.32525e13 | + | 1.44198e14i | 0.571300 | + | 0.989520i | ||||
\(377\) | 2.14073e13 | 0.144772 | ||||||||
\(378\) | 1.29601e14 | + | 2.29078e14i | 0.863781 | + | 1.52679i | ||||
\(379\) | −2.66543e13 | −0.175086 | −0.0875431 | − | 0.996161i | \(-0.527902\pi\) | ||||
−0.0875431 | + | 0.996161i | \(0.527902\pi\) | |||||||
\(380\) | −8.38774e12 | − | 1.45280e13i | −0.0543044 | − | 0.0940580i | ||||
\(381\) | −6.09618e13 | + | 1.05589e14i | −0.389019 | + | 0.673800i | ||||
\(382\) | 8.99301e13 | − | 1.55764e14i | 0.565662 | − | 0.979755i | ||||
\(383\) | 9.35646e11 | + | 1.62059e12i | 0.00580121 | + | 0.0100480i | 0.868911 | − | 0.494968i | \(-0.164820\pi\) |
−0.863110 | + | 0.505016i | \(0.831487\pi\) | |||||||
\(384\) | −2.07102e14 | −1.26580 | ||||||||
\(385\) | 3.96602e13 | + | 3.46763e11i | 0.238958 | + | 0.00208929i | ||||
\(386\) | 5.83789e13 | 0.346758 | ||||||||
\(387\) | −9.70933e12 | − | 1.68170e13i | −0.0568563 | − | 0.0984780i | ||||
\(388\) | 9.25615e13 | − | 1.60321e14i | 0.534387 | − | 0.925585i | ||||
\(389\) | −5.99697e13 | + | 1.03870e14i | −0.341357 | + | 0.591248i | −0.984685 | − | 0.174343i | \(-0.944220\pi\) |
0.643328 | + | 0.765591i | \(0.277553\pi\) | |||||||
\(390\) | −1.74561e13 | − | 3.02348e13i | −0.0979696 | − | 0.169688i | ||||
\(391\) | −3.87143e13 | −0.214239 | ||||||||
\(392\) | 1.77519e14 | + | 3.10446e12i | 0.968660 | + | 0.0169400i | ||||
\(393\) | 8.65740e13 | 0.465831 | ||||||||
\(394\) | −2.01511e14 | − | 3.49027e14i | −1.06923 | − | 1.85195i | ||||
\(395\) | −4.58363e11 | + | 7.93909e11i | −0.00239842 | + | 0.00415419i | ||||
\(396\) | 8.75738e13 | − | 1.51682e14i | 0.451909 | − | 0.782729i | ||||
\(397\) | 3.26107e13 | + | 5.64834e13i | 0.165963 | + | 0.287457i | 0.936997 | − | 0.349337i | \(-0.113593\pi\) |
−0.771034 | + | 0.636795i | \(0.780260\pi\) | |||||||
\(398\) | 4.49379e14 | 2.25557 | ||||||||
\(399\) | 7.07917e13 | + | 6.18956e11i | 0.350454 | + | 0.00306414i | ||||
\(400\) | 7.66992e12 | 0.0374508 | ||||||||
\(401\) | 3.16489e13 | + | 5.48175e13i | 0.152428 | + | 0.264013i | 0.932119 | − | 0.362151i | \(-0.117957\pi\) |
−0.779692 | + | 0.626164i | \(0.784624\pi\) | |||||||
\(402\) | −8.69692e13 | + | 1.50635e14i | −0.413163 | + | 0.715620i | ||||
\(403\) | −1.11676e14 | + | 1.93428e14i | −0.523337 | + | 0.906447i | ||||
\(404\) | 1.05068e14 | + | 1.81983e14i | 0.485704 | + | 0.841264i | ||||
\(405\) | −1.70020e13 | −0.0775351 | ||||||||
\(406\) | −2.58709e13 | − | 4.57284e13i | −0.116391 | − | 0.205728i | ||||
\(407\) | −3.99945e14 | −1.77514 | ||||||||
\(408\) | −1.50424e14 | − | 2.60541e14i | −0.658696 | − | 1.14090i | ||||
\(409\) | 4.87686e13 | − | 8.44696e13i | 0.210699 | − | 0.364941i | −0.741235 | − | 0.671246i | \(-0.765759\pi\) |
0.951933 | + | 0.306305i | \(0.0990928\pi\) | |||||||
\(410\) | 1.54382e13 | − | 2.67397e13i | 0.0658089 | − | 0.113984i | ||||
\(411\) | 6.53833e13 | + | 1.13247e14i | 0.275002 | + | 0.476318i | ||||
\(412\) | −6.27217e14 | −2.60305 | ||||||||
\(413\) | 7.96660e13 | − | 1.35241e14i | 0.326248 | − | 0.553838i | ||||
\(414\) | 1.82737e13 | 0.0738454 | ||||||||
\(415\) | 3.09091e13 | + | 5.35361e13i | 0.123260 | + | 0.213492i | ||||
\(416\) | 1.29344e14 | − | 2.24030e14i | 0.509018 | − | 0.881645i | ||||
\(417\) | −8.96654e13 | + | 1.55305e14i | −0.348238 | + | 0.603166i | ||||
\(418\) | −1.43233e14 | − | 2.48086e14i | −0.549000 | − | 0.950896i | ||||
\(419\) | 1.42052e14 | 0.537366 | 0.268683 | − | 0.963229i | \(-0.413412\pi\) | ||||
0.268683 | + | 0.963229i | \(0.413412\pi\) | |||||||
\(420\) | −2.67674e13 | + | 4.54403e13i | −0.0999390 | + | 0.169656i | ||||
\(421\) | −4.38014e14 | −1.61412 | −0.807061 | − | 0.590468i | \(-0.798943\pi\) | ||||
−0.807061 | + | 0.590468i | \(0.798943\pi\) | |||||||
\(422\) | 1.47448e14 | + | 2.55388e14i | 0.536317 | + | 0.928928i | ||||
\(423\) | −5.98871e13 | + | 1.03728e14i | −0.215011 | + | 0.372411i | ||||
\(424\) | 1.03039e14 | − | 1.78468e14i | 0.365164 | − | 0.632482i | ||||
\(425\) | 2.38013e14 | + | 4.12251e14i | 0.832649 | + | 1.44219i | ||||
\(426\) | 3.60435e14 | 1.24473 | ||||||||
\(427\) | −1.54329e14 | − | 2.72787e14i | −0.526132 | − | 0.929971i | ||||
\(428\) | −5.28546e14 | −1.77886 | ||||||||
\(429\) | −1.83471e14 | − | 3.17781e14i | −0.609611 | − | 1.05588i | ||||
\(430\) | 1.18300e13 | − | 2.04901e13i | 0.0388067 | − | 0.0672152i | ||||
\(431\) | −9.24409e13 | + | 1.60112e14i | −0.299391 | + | 0.518561i | −0.975997 | − | 0.217785i | \(-0.930117\pi\) |
0.676605 | + | 0.736346i | \(0.263450\pi\) | |||||||
\(432\) | −6.52511e12 | − | 1.13018e13i | −0.0208654 | − | 0.0361400i | ||||
\(433\) | 4.58026e14 | 1.44613 | 0.723064 | − | 0.690781i | \(-0.242733\pi\) | ||||
0.723064 | + | 0.690781i | \(0.242733\pi\) | |||||||
\(434\) | 5.48147e14 | + | 4.79264e12i | 1.70885 | + | 0.0149411i | ||||
\(435\) | 5.85689e12 | 0.0180292 | ||||||||
\(436\) | 4.70106e14 | + | 8.14248e14i | 1.42896 | + | 2.47503i | ||||
\(437\) | 9.19787e12 | − | 1.59312e13i | 0.0276083 | − | 0.0478190i | ||||
\(438\) | −2.88894e13 | + | 5.00378e13i | −0.0856308 | + | 0.148317i | ||||
\(439\) | −1.03631e14 | − | 1.79494e14i | −0.303343 | − | 0.525406i | 0.673548 | − | 0.739144i | \(-0.264770\pi\) |
−0.976891 | + | 0.213737i | \(0.931436\pi\) | |||||||
\(440\) | 8.00876e13 | 0.231513 | ||||||||
\(441\) | 6.19145e13 | + | 1.11705e14i | 0.176759 | + | 0.318906i | ||||
\(442\) | 9.63764e14 | 2.71737 | ||||||||
\(443\) | −1.53251e14 | − | 2.65439e14i | −0.426760 | − | 0.739170i | 0.569823 | − | 0.821768i | \(-0.307012\pi\) |
−0.996583 | + | 0.0825973i | \(0.973678\pi\) | |||||||
\(444\) | 2.65903e14 | − | 4.60558e14i | 0.731337 | − | 1.26671i | ||||
\(445\) | −2.43459e13 | + | 4.21683e13i | −0.0661371 | + | 0.114553i | ||||
\(446\) | −1.05025e14 | − | 1.81908e14i | −0.281806 | − | 0.488102i | ||||
\(447\) | 2.70660e13 | 0.0717354 | ||||||||
\(448\) | −6.20215e14 | − | 5.42276e12i | −1.62373 | − | 0.0141968i | ||||
\(449\) | 2.06885e13 | 0.0535026 | 0.0267513 | − | 0.999642i | \(-0.491484\pi\) | ||||
0.0267513 | + | 0.999642i | \(0.491484\pi\) | |||||||
\(450\) | −1.12345e14 | − | 1.94588e14i | −0.287003 | − | 0.497104i | ||||
\(451\) | 1.62262e14 | − | 2.81046e14i | 0.409492 | − | 0.709261i | ||||
\(452\) | −3.84549e14 | + | 6.66059e14i | −0.958718 | + | 1.66055i | ||||
\(453\) | −3.90436e12 | − | 6.76255e12i | −0.00961634 | − | 0.0166560i | ||||
\(454\) | −1.00582e15 | −2.44746 | ||||||||
\(455\) | −3.12207e13 | − | 5.51846e13i | −0.0750551 | − | 0.132665i | ||||
\(456\) | 1.42953e14 | 0.339536 | ||||||||
\(457\) | 3.03494e14 | + | 5.25667e14i | 0.712215 | + | 1.23359i | 0.964024 | + | 0.265815i | \(0.0856412\pi\) |
−0.251809 | + | 0.967777i | \(0.581026\pi\) | |||||||
\(458\) | −2.62242e14 | + | 4.54217e14i | −0.608054 | + | 1.05318i | ||||
\(459\) | 4.04975e14 | − | 7.01437e14i | 0.927808 | − | 1.60701i | ||||
\(460\) | 6.85194e12 | + | 1.18679e13i | 0.0155112 | + | 0.0268662i | ||||
\(461\) | −6.59353e14 | −1.47490 | −0.737451 | − | 0.675401i | \(-0.763970\pi\) | ||||
−0.737451 | + | 0.675401i | \(0.763970\pi\) | |||||||
\(462\) | −4.57091e14 | + | 7.75958e14i | −1.01035 | + | 1.71517i | ||||
\(463\) | 6.51284e14 | 1.42257 | 0.711287 | − | 0.702902i | \(-0.248113\pi\) | ||||
0.711287 | + | 0.702902i | \(0.248113\pi\) | |||||||
\(464\) | 1.30254e12 | + | 2.25606e12i | 0.00281152 | + | 0.00486970i | ||||
\(465\) | −3.05538e13 | + | 5.29207e13i | −0.0651739 | + | 0.112885i | ||||
\(466\) | 2.58863e14 | − | 4.48363e14i | 0.545691 | − | 0.945165i | ||||
\(467\) | −2.04176e14 | − | 3.53644e14i | −0.425366 | − | 0.736755i | 0.571089 | − | 0.820888i | \(-0.306521\pi\) |
−0.996455 | + | 0.0841332i | \(0.973188\pi\) | |||||||
\(468\) | −2.79994e14 | −0.576497 | ||||||||
\(469\) | −1.60331e14 | + | 2.72177e14i | −0.326262 | + | 0.553861i | ||||
\(470\) | −1.45934e14 | −0.293507 | ||||||||
\(471\) | 2.09063e13 | + | 3.62108e13i | 0.0415588 | + | 0.0719819i | ||||
\(472\) | 1.58473e14 | − | 2.74483e14i | 0.311368 | − | 0.539306i | ||||
\(473\) | 1.24338e14 | − | 2.15360e14i | 0.241473 | − | 0.418243i | ||||
\(474\) | −1.04078e13 | − | 1.80269e13i | −0.0199792 | − | 0.0346051i | ||||
\(475\) | −2.26192e14 | −0.429202 | ||||||||
\(476\) | −7.16878e14 | − | 1.26713e15i | −1.34464 | − | 2.37674i | ||||
\(477\) | 1.48240e14 | 0.274862 | ||||||||
\(478\) | −2.75916e13 | − | 4.77900e13i | −0.0505735 | − | 0.0875959i | ||||
\(479\) | 7.77149e13 | − | 1.34606e14i | 0.140818 | − | 0.243904i | −0.786987 | − | 0.616970i | \(-0.788360\pi\) |
0.927805 | + | 0.373066i | \(0.121693\pi\) | |||||||
\(480\) | 3.53877e13 | − | 6.12932e13i | 0.0633906 | − | 0.109796i | ||||
\(481\) | 3.19680e14 | + | 5.53702e14i | 0.566132 | + | 0.980570i | ||||
\(482\) | 1.32036e15 | 2.31171 | ||||||||
\(483\) | −5.78297e13 | − | 5.05625e11i | −0.100102 | − | 0.000875225i | ||||
\(484\) | 1.30760e15 | 2.23783 | ||||||||
\(485\) | 3.04458e13 | + | 5.27337e13i | 0.0515167 | + | 0.0892296i | ||||
\(486\) | −3.31232e14 | + | 5.73710e14i | −0.554157 | + | 0.959828i | ||||
\(487\) | −2.48415e14 | + | 4.30268e14i | −0.410931 | + | 0.711753i | −0.994992 | − | 0.0999566i | \(-0.968130\pi\) |
0.584061 | + | 0.811710i | \(0.301463\pi\) | |||||||
\(488\) | −3.16436e14 | − | 5.48083e14i | −0.517579 | − | 0.896473i | ||||
\(489\) | −2.33379e14 | −0.377453 | ||||||||
\(490\) | −8.01502e13 | + | 1.33382e14i | −0.128182 | + | 0.213314i | ||||
\(491\) | −1.01225e14 | −0.160081 | −0.0800403 | − | 0.996792i | \(-0.525505\pi\) | ||||
−0.0800403 | + | 0.996792i | \(0.525505\pi\) | |||||||
\(492\) | 2.15759e14 | + | 3.73706e14i | 0.337413 | + | 0.584416i | ||||
\(493\) | −8.08409e13 | + | 1.40020e14i | −0.125018 | + | 0.216538i | ||||
\(494\) | −2.28974e14 | + | 3.96595e14i | −0.350178 | + | 0.606526i | ||||
\(495\) | 2.88052e13 | + | 4.98921e13i | 0.0435655 | + | 0.0754577i | ||||
\(496\) | −2.71800e13 | −0.0406537 | ||||||||
\(497\) | 6.54561e14 | + | 5.72306e12i | 0.968256 | + | 0.00846580i | ||||
\(498\) | −1.40367e15 | −2.05355 | ||||||||
\(499\) | 5.14714e13 | + | 8.91510e13i | 0.0744754 | + | 0.128995i | 0.900858 | − | 0.434114i | \(-0.142938\pi\) |
−0.826383 | + | 0.563109i | \(0.809605\pi\) | |||||||
\(500\) | 1.70557e14 | − | 2.95413e14i | 0.244081 | − | 0.422760i | ||||
\(501\) | 1.18330e14 | − | 2.04953e14i | 0.167489 | − | 0.290100i | ||||
\(502\) | 1.44539e14 | + | 2.50350e14i | 0.202356 | + | 0.350491i | ||||
\(503\) | 5.89343e14 | 0.816101 | 0.408051 | − | 0.912959i | \(-0.366209\pi\) | ||||
0.408051 | + | 0.912959i | \(0.366209\pi\) | |||||||
\(504\) | 1.26989e14 | + | 2.24461e14i | 0.173940 | + | 0.307449i | ||||
\(505\) | −6.91189e13 | −0.0936471 | ||||||||
\(506\) | 1.17007e14 | + | 2.02661e14i | 0.156813 | + | 0.271608i | ||||
\(507\) | 7.32952e12 | − | 1.26951e13i | 0.00971699 | − | 0.0168303i | ||||
\(508\) | −5.95696e14 | + | 1.03178e15i | −0.781221 | + | 1.35311i | ||||
\(509\) | −2.61111e14 | − | 4.52257e14i | −0.338748 | − | 0.586729i | 0.645450 | − | 0.763803i | \(-0.276670\pi\) |
−0.984197 | + | 0.177074i | \(0.943337\pi\) | |||||||
\(510\) | 2.63680e14 | 0.338408 | ||||||||
\(511\) | −5.32585e13 | + | 9.04116e13i | −0.0676198 | + | 0.114791i | ||||
\(512\) | 6.10705e13 | 0.0767090 | ||||||||
\(513\) | 1.92430e14 | + | 3.33299e14i | 0.239127 | + | 0.414180i | ||||
\(514\) | 7.12227e14 | − | 1.23361e15i | 0.875632 | − | 1.51664i | ||||
\(515\) | 1.03154e14 | − | 1.78668e14i | 0.125472 | − | 0.217323i | ||||
\(516\) | 1.65332e14 | + | 2.86364e14i | 0.198968 | + | 0.344623i | ||||
\(517\) | −1.53383e15 | −1.82633 | ||||||||
\(518\) | 7.96436e14 | − | 1.35203e15i | 0.938291 | − | 1.59284i | ||||
\(519\) | 5.94221e14 | 0.692672 | ||||||||
\(520\) | −6.40148e13 | − | 1.10877e14i | −0.0738349 | − | 0.127886i | ||||
\(521\) | −9.61050e13 | + | 1.66459e14i | −0.109683 | + | 0.189976i | −0.915642 | − | 0.401995i | \(-0.868317\pi\) |
0.805959 | + | 0.591971i | \(0.201650\pi\) | |||||||
\(522\) | 3.81580e13 | − | 6.60915e13i | 0.0430921 | − | 0.0746376i | ||||
\(523\) | 1.89078e14 | + | 3.27493e14i | 0.211291 | + | 0.365967i | 0.952119 | − | 0.305728i | \(-0.0988998\pi\) |
−0.740828 | + | 0.671695i | \(0.765566\pi\) | |||||||
\(524\) | 8.45968e14 | 0.935474 | ||||||||
\(525\) | 3.50149e14 | + | 6.18911e14i | 0.383157 | + | 0.677254i | ||||
\(526\) | −2.73284e15 | −2.95933 | ||||||||
\(527\) | −8.43450e14 | − | 1.46090e15i | −0.903859 | − | 1.56553i | ||||
\(528\) | 2.23268e13 | − | 3.86712e13i | 0.0236778 | − | 0.0410111i | ||||
\(529\) | 4.68891e14 | − | 8.12143e14i | 0.492114 | − | 0.852367i | ||||
\(530\) | 9.03089e13 | + | 1.56420e14i | 0.0938022 | + | 0.162470i | ||||
\(531\) | 2.27993e14 | 0.234370 | ||||||||
\(532\) | 6.91749e14 | + | 6.04820e12i | 0.703776 | + | 0.00615336i | ||||
\(533\) | −5.18790e14 | −0.522386 | ||||||||
\(534\) | −5.52809e14 | − | 9.57493e14i | −0.550932 | − | 0.954243i | ||||
\(535\) | 8.69262e13 | − | 1.50561e14i | 0.0857442 | − | 0.148513i | ||||
\(536\) | −3.18933e14 | + | 5.52407e14i | −0.311381 | + | 0.539328i | ||||
\(537\) | 7.09262e12 | + | 1.22848e13i | 0.00685407 | + | 0.0118716i | ||||
\(538\) | 2.05925e14 | 0.196973 | ||||||||
\(539\) | −8.42413e14 | + | 1.40191e15i | −0.797604 | + | 1.32734i | ||||
\(540\) | −2.86702e14 | −0.268698 | ||||||||
\(541\) | −5.85349e14 | − | 1.01385e15i | −0.543038 | − | 0.940569i | −0.998728 | − | 0.0504302i | \(-0.983941\pi\) |
0.455690 | − | 0.890139i | \(-0.349393\pi\) | |||||||
\(542\) | −8.35546e14 | + | 1.44721e15i | −0.767316 | + | 1.32903i | ||||
\(543\) | −7.55974e14 | + | 1.30938e15i | −0.687239 | + | 1.19033i | ||||
\(544\) | 9.76891e14 | + | 1.69202e15i | 0.879128 | + | 1.52269i | ||||
\(545\) | −3.09260e14 | −0.275513 | ||||||||
\(546\) | 1.43963e15 | + | 1.25872e13i | 1.26967 | + | 0.0111012i | ||||
\(547\) | −7.21282e14 | −0.629760 | −0.314880 | − | 0.949132i | \(-0.601964\pi\) | ||||
−0.314880 | + | 0.949132i | \(0.601964\pi\) | |||||||
\(548\) | 6.38900e14 | + | 1.10661e15i | 0.552255 | + | 0.956534i | ||||
\(549\) | 2.27626e14 | − | 3.94260e14i | 0.194793 | − | 0.337392i | ||||
\(550\) | 1.43870e15 | − | 2.49190e15i | 1.21892 | − | 2.11123i | ||||
\(551\) | −3.84129e13 | − | 6.65331e13i | −0.0322213 | − | 0.0558089i | ||||
\(552\) | −1.16778e14 | −0.0969831 | ||||||||
\(553\) | −1.86147e13 | − | 3.29026e13i | −0.0153062 | − | 0.0270547i | ||||
\(554\) | 2.20676e14 | 0.179660 | ||||||||
\(555\) | 8.74624e13 | + | 1.51489e14i | 0.0705034 | + | 0.122115i | ||||
\(556\) | −8.76176e14 | + | 1.51758e15i | −0.699326 | + | 1.21127i | ||||
\(557\) | 8.15240e14 | − | 1.41204e15i | 0.644291 | − | 1.11594i | −0.340174 | − | 0.940363i | \(-0.610486\pi\) |
0.984465 | − | 0.175582i | \(-0.0561808\pi\) | |||||||
\(558\) | 3.98119e14 | + | 6.89563e14i | 0.311548 | + | 0.539617i | ||||
\(559\) | −3.97538e14 | −0.308045 | ||||||||
\(560\) | 3.91613e12 | − | 6.64803e12i | 0.00300485 | − | 0.00510104i | ||||
\(561\) | 2.77139e15 | 2.10572 | ||||||||
\(562\) | −1.28102e15 | − | 2.21880e15i | −0.963846 | − | 1.66943i | ||||
\(563\) | −3.39456e14 | + | 5.87955e14i | −0.252922 | + | 0.438074i | −0.964329 | − | 0.264706i | \(-0.914725\pi\) |
0.711407 | + | 0.702781i | \(0.248058\pi\) | |||||||
\(564\) | 1.01977e15 | − | 1.76629e15i | 0.752431 | − | 1.30325i | ||||
\(565\) | −1.26488e14 | − | 2.19084e14i | −0.0924236 | − | 0.160082i | ||||
\(566\) | 2.61645e15 | 1.89331 | ||||||||
\(567\) | 3.55854e14 | − | 6.04098e14i | 0.255015 | − | 0.432913i | ||||
\(568\) | 1.32178e15 | 0.938090 | ||||||||
\(569\) | 1.04196e15 | + | 1.80473e15i | 0.732376 | + | 1.26851i | 0.955865 | + | 0.293806i | \(0.0949221\pi\) |
−0.223489 | + | 0.974707i | \(0.571745\pi\) | |||||||
\(570\) | −6.26459e13 | + | 1.08506e14i | −0.0436095 | + | 0.0755338i | ||||
\(571\) | −8.28956e14 | + | 1.43579e15i | −0.571522 | + | 0.989905i | 0.424888 | + | 0.905246i | \(0.360313\pi\) |
−0.996410 | + | 0.0846591i | \(0.973020\pi\) | |||||||
\(572\) | −1.79281e15 | − | 3.10524e15i | −1.22421 | − | 2.12039i | ||||
\(573\) | −8.26812e14 | −0.559186 | ||||||||
\(574\) | 6.26963e14 | + | 1.10820e15i | 0.419978 | + | 0.742337i | ||||
\(575\) | 1.84776e14 | 0.122595 | ||||||||
\(576\) | −4.50462e14 | − | 7.80224e14i | −0.296029 | − | 0.512738i | ||||
\(577\) | −3.95239e14 | + | 6.84575e14i | −0.257272 | + | 0.445609i | −0.965510 | − | 0.260365i | \(-0.916157\pi\) |
0.708238 | + | 0.705974i | \(0.249490\pi\) | |||||||
\(578\) | −2.38888e15 | + | 4.13766e15i | −1.54025 | + | 2.66779i | ||||
\(579\) | −1.34183e14 | − | 2.32412e14i | −0.0856970 | − | 0.148432i | ||||
\(580\) | 5.72312e13 | 0.0362059 | ||||||||
\(581\) | −2.54912e15 | − | 2.22878e13i | −1.59743 | − | 0.0139669i | ||||
\(582\) | −1.38264e15 | −0.858284 | ||||||||
\(583\) | 9.49186e14 | + | 1.64404e15i | 0.583679 | + | 1.01096i | ||||
\(584\) | −1.05943e14 | + | 1.83498e14i | −0.0645358 | + | 0.111779i | ||||
\(585\) | 4.60486e13 | − | 7.97585e13i | 0.0277881 | − | 0.0481304i | ||||
\(586\) | −1.10289e15 | − | 1.91026e15i | −0.659317 | − | 1.14197i | ||||
\(587\) | 3.06535e15 | 1.81539 | 0.907697 | − | 0.419625i | \(-0.137839\pi\) | ||||
0.907697 | + | 0.419625i | \(0.137839\pi\) | |||||||
\(588\) | −1.05429e15 | − | 1.90214e15i | −0.618565 | − | 1.11601i | ||||
\(589\) | 8.01558e14 | 0.465909 | ||||||||
\(590\) | 1.38895e14 | + | 2.40573e14i | 0.0799834 | + | 0.138535i | ||||
\(591\) | −9.26339e14 | + | 1.60447e15i | −0.528492 | + | 0.915376i | ||||
\(592\) | −3.89023e13 | + | 6.73808e13i | −0.0219890 | + | 0.0380861i | ||||
\(593\) | −1.70001e15 | − | 2.94451e15i | −0.952031 | − | 1.64897i | −0.741022 | − | 0.671481i | \(-0.765658\pi\) |
−0.211009 | − | 0.977484i | \(-0.567675\pi\) | |||||||
\(594\) | −4.89583e15 | −2.71645 | ||||||||
\(595\) | 4.78851e14 | + | 4.18676e12i | 0.263243 | + | 0.00230163i | ||||
\(596\) | 2.64479e14 | 0.144058 | ||||||||
\(597\) | −1.03289e15 | − | 1.78902e15i | −0.557436 | − | 0.965508i | ||||
\(598\) | 1.87049e14 | − | 3.23978e14i | 0.100023 | − | 0.173245i | ||||
\(599\) | 1.00584e15 | − | 1.74217e15i | 0.532944 | − | 0.923086i | −0.466316 | − | 0.884618i | \(-0.654419\pi\) |
0.999260 | − | 0.0384674i | \(-0.0122476\pi\) | |||||||
\(600\) | 7.17944e14 | + | 1.24352e15i | 0.376928 | + | 0.652859i | ||||
\(601\) | 3.61155e15 | 1.87882 | 0.939408 | − | 0.342801i | \(-0.111376\pi\) | ||||
0.939408 | + | 0.342801i | \(0.111376\pi\) | |||||||
\(602\) | 4.80429e14 | + | 8.49188e14i | 0.247656 | + | 0.437747i | ||||
\(603\) | −4.58844e14 | −0.234380 | ||||||||
\(604\) | −3.81519e13 | − | 6.60811e13i | −0.0193114 | − | 0.0334483i | ||||
\(605\) | −2.15052e14 | + | 3.72481e14i | −0.107867 | + | 0.186831i | ||||
\(606\) | 7.84724e14 | − | 1.35918e15i | 0.390047 | − | 0.675582i | ||||
\(607\) | −1.32563e14 | − | 2.29605e14i | −0.0652955 | − | 0.113095i | 0.831530 | − | 0.555481i | \(-0.187466\pi\) |
−0.896825 | + | 0.442385i | \(0.854132\pi\) | |||||||
\(608\) | −9.28372e14 | −0.453161 | ||||||||
\(609\) | −1.22585e14 | + | 2.08101e14i | −0.0592984 | + | 0.100665i | ||||
\(610\) | 5.54684e14 | 0.265908 | ||||||||
\(611\) | 1.22601e15 | + | 2.12351e15i | 0.582461 | + | 1.00885i | ||||
\(612\) | 1.05735e15 | − | 1.83138e15i | 0.497836 | − | 0.862277i | ||||
\(613\) | 1.56095e15 | − | 2.70364e15i | 0.728375 | − | 1.26158i | −0.229195 | − | 0.973381i | \(-0.573609\pi\) |
0.957570 | − | 0.288202i | \(-0.0930575\pi\) | |||||||
\(614\) | 2.94410e15 | + | 5.09934e15i | 1.36153 | + | 2.35824i | ||||
\(615\) | −1.41937e14 | −0.0650555 | ||||||||
\(616\) | −1.67624e15 | + | 2.84559e15i | −0.761452 | + | 1.29264i | ||||
\(617\) | 2.92720e14 | 0.131791 | 0.0658953 | − | 0.997827i | \(-0.479010\pi\) | ||||
0.0658953 | + | 0.997827i | \(0.479010\pi\) | |||||||
\(618\) | 2.34226e15 | + | 4.05691e15i | 1.04520 | + | 1.81034i | ||||
\(619\) | 6.34303e14 | − | 1.09865e15i | 0.280542 | − | 0.485913i | −0.690976 | − | 0.722878i | \(-0.742819\pi\) |
0.971518 | + | 0.236964i | \(0.0761524\pi\) | |||||||
\(620\) | −2.98560e14 | + | 5.17121e14i | −0.130881 | + | 0.226693i | ||||
\(621\) | −1.57196e14 | − | 2.72272e14i | −0.0683028 | − | 0.118304i | ||||
\(622\) | 1.16285e15 | 0.500813 | ||||||||
\(623\) | −9.88716e14 | − | 1.74762e15i | −0.422073 | − | 0.746040i | ||||
\(624\) | −7.13842e13 | −0.0302056 | ||||||||
\(625\) | −1.10760e15 | − | 1.91843e15i | −0.464563 | − | 0.804647i | ||||
\(626\) | 2.60329e15 | − | 4.50904e15i | 1.08234 | − | 1.87467i | ||||
\(627\) | −6.58436e14 | + | 1.14044e15i | −0.271358 | + | 0.470005i | ||||
\(628\) | 2.04289e14 | + | 3.53838e14i | 0.0834576 | + | 0.144553i | ||||
\(629\) | −4.82887e15 | −1.95554 | ||||||||
\(630\) | −2.26024e14 | − | 1.97620e12i | −0.0907363 | − | 0.000793339i | ||||
\(631\) | −1.50552e15 | −0.599135 | −0.299568 | − | 0.954075i | \(-0.596842\pi\) | ||||
−0.299568 | + | 0.954075i | \(0.596842\pi\) | |||||||
\(632\) | −3.81675e13 | − | 6.61080e13i | −0.0150574 | − | 0.0260801i | ||||
\(633\) | 6.77816e14 | − | 1.17401e15i | 0.265089 | − | 0.459147i | ||||
\(634\) | −1.65949e15 | + | 2.87432e15i | −0.643403 | + | 1.11441i | ||||
\(635\) | −1.95939e14 | − | 3.39377e14i | −0.0753124 | − | 0.130445i | ||||
\(636\) | −2.52426e15 | −0.961879 | ||||||||
\(637\) | 2.61421e15 | + | 4.57174e13i | 0.987584 | + | 0.0172709i | ||||
\(638\) | 9.77305e14 | 0.366030 | ||||||||
\(639\) | 4.75408e14 | + | 8.23431e14i | 0.176527 | + | 0.305754i | ||||
\(640\) | 3.32827e14 | − | 5.76474e14i | 0.122526 | − | 0.212222i | ||||
\(641\) | −1.61995e15 | + | 2.80584e15i | −0.591265 | + | 1.02410i | 0.402797 | + | 0.915289i | \(0.368038\pi\) |
−0.994062 | + | 0.108812i | \(0.965295\pi\) | |||||||
\(642\) | 1.97379e15 | + | 3.41870e15i | 0.714262 | + | 1.23714i | ||||
\(643\) | 2.38324e15 | 0.855082 | 0.427541 | − | 0.903996i | \(-0.359380\pi\) | ||||
0.427541 | + | 0.903996i | \(0.359380\pi\) | |||||||
\(644\) | −5.65090e14 | − | 4.94078e12i | −0.201023 | − | 0.00175761i | ||||
\(645\) | −1.08764e14 | −0.0383624 | ||||||||
\(646\) | −1.72936e15 | − | 2.99535e15i | −0.604794 | − | 1.04753i | ||||
\(647\) | −7.22747e14 | + | 1.25183e15i | −0.250618 | + | 0.434084i | −0.963696 | − | 0.267001i | \(-0.913967\pi\) |
0.713078 | + | 0.701085i | \(0.247301\pi\) | |||||||
\(648\) | 7.07872e14 | − | 1.22607e15i | 0.243384 | − | 0.421553i | ||||
\(649\) | 1.45984e15 | + | 2.52853e15i | 0.497692 | + | 0.862028i | ||||
\(650\) | −4.59987e15 | −1.55497 | ||||||||
\(651\) | −1.24083e15 | − | 2.19324e15i | −0.415926 | − | 0.735175i | ||||
\(652\) | −2.28049e15 | −0.757994 | ||||||||
\(653\) | 1.47208e15 | + | 2.54972e15i | 0.485187 | + | 0.840368i | 0.999855 | − | 0.0170210i | \(-0.00541822\pi\) |
−0.514668 | + | 0.857389i | \(0.672085\pi\) | |||||||
\(654\) | 3.51110e15 | − | 6.08140e15i | 1.14753 | − | 1.98759i | ||||
\(655\) | −1.39130e14 | + | 2.40980e14i | −0.0450914 | + | 0.0781007i | ||||
\(656\) | −3.15661e13 | − | 5.46741e13i | −0.0101449 | − | 0.0175716i | ||||
\(657\) | −1.52418e14 | −0.0485767 | ||||||||
\(658\) | 3.05442e15 | − | 5.18518e15i | 0.965353 | − | 1.63878i | ||||
\(659\) | 1.05738e15 | 0.331405 | 0.165703 | − | 0.986176i | \(-0.447011\pi\) | ||||
0.165703 | + | 0.986176i | \(0.447011\pi\) | |||||||
\(660\) | −4.90501e14 | − | 8.49572e14i | −0.152457 | − | 0.264064i | ||||
\(661\) | −6.31574e14 | + | 1.09392e15i | −0.194678 | + | 0.337192i | −0.946795 | − | 0.321838i | \(-0.895699\pi\) |
0.752117 | + | 0.659029i | \(0.229033\pi\) | |||||||
\(662\) | −2.65841e14 | + | 4.60451e14i | −0.0812650 | + | 0.140755i | ||||
\(663\) | −2.21520e15 | − | 3.83683e15i | −0.671565 | − | 1.16318i | ||||
\(664\) | −5.14754e15 | −1.54766 | ||||||||
\(665\) | −1.15490e14 | + | 1.96055e14i | −0.0344369 | + | 0.0584601i | ||||
\(666\) | 2.27929e15 | 0.674049 | ||||||||
\(667\) | 3.13795e13 | + | 5.43508e13i | 0.00920351 | + | 0.0159409i | ||||
\(668\) | 1.15627e15 | − | 2.00273e15i | 0.336349 | − | 0.582574i | ||||
\(669\) | −4.82795e14 | + | 8.36226e14i | −0.139290 | + | 0.241257i | ||||
\(670\) | −2.79530e14 | − | 4.84161e14i | −0.0799867 | − | 0.138541i | ||||
\(671\) | 5.82997e15 | 1.65460 | ||||||||
\(672\) | 1.43714e15 | + | 2.54023e15i | 0.404545 | + | 0.715059i | ||||
\(673\) | −6.74546e15 | −1.88334 | −0.941671 | − | 0.336536i | \(-0.890745\pi\) | ||||
−0.941671 | + | 0.336536i | \(0.890745\pi\) | |||||||
\(674\) | −1.84429e15 | − | 3.19441e15i | −0.510740 | − | 0.884628i | ||||
\(675\) | −1.93287e15 | + | 3.34782e15i | −0.530923 | + | 0.919585i | ||||
\(676\) | 7.16212e13 | − | 1.24052e14i | 0.0195135 | − | 0.0337984i | ||||
\(677\) | 1.51652e15 | + | 2.62670e15i | 0.409838 | + | 0.709859i | 0.994871 | − | 0.101150i | \(-0.0322521\pi\) |
−0.585034 | + | 0.811009i | \(0.698919\pi\) | |||||||
\(678\) | 5.74420e15 | 1.53981 | ||||||||
\(679\) | −2.51091e15 | − | 2.19538e13i | −0.667648 | − | 0.00583748i | ||||
\(680\) | 9.66963e14 | 0.255042 | ||||||||
\(681\) | 2.31187e15 | + | 4.00428e15i | 0.604860 | + | 1.04765i | ||||
\(682\) | −5.09833e15 | + | 8.83057e15i | −1.32317 | + | 2.29179i | ||||
\(683\) | −3.11449e15 | + | 5.39445e15i | −0.801813 | + | 1.38878i | 0.116609 | + | 0.993178i | \(0.462798\pi\) |
−0.918422 | + | 0.395603i | \(0.870536\pi\) | |||||||
\(684\) | 5.02417e14 | + | 8.70213e14i | 0.128309 | + | 0.222237i | ||||
\(685\) | −4.20301e14 | −0.106479 | ||||||||
\(686\) | −3.06164e15 | − | 5.63951e15i | −0.769435 | − | 1.41729i | ||||
\(687\) | 2.41104e15 | 0.601093 | ||||||||
\(688\) | −2.41885e13 | − | 4.18957e13i | −0.00598236 | − | 0.0103617i | ||||
\(689\) | 1.51739e15 | − | 2.62819e15i | 0.372298 | − | 0.644839i | ||||
\(690\) | 5.11754e13 | − | 8.86384e13i | 0.0124564 | − | 0.0215750i | ||||
\(691\) | −1.18312e15 | − | 2.04923e15i | −0.285694 | − | 0.494836i | 0.687084 | − | 0.726578i | \(-0.258891\pi\) |
−0.972777 | + | 0.231743i | \(0.925557\pi\) | |||||||
\(692\) | 5.80650e15 | 1.39101 | ||||||||
\(693\) | −2.37561e15 | − | 2.07708e13i | −0.564602 | − | 0.00493651i | ||||
\(694\) | 6.87618e15 | 1.62132 | ||||||||
\(695\) | −2.88196e14 | − | 4.99171e14i | −0.0674174 | − | 0.116770i | ||||
\(696\) | −2.43849e14 | + | 4.22358e14i | −0.0565939 | + | 0.0980235i | ||||
\(697\) | 1.95912e15 | − | 3.39330e15i | 0.451108 | − | 0.781343i | ||||
\(698\) | −7.89691e14 | − | 1.36779e15i | −0.180407 | − | 0.312473i | ||||
\(699\) | −2.37997e15 | −0.539444 | ||||||||
\(700\) | 3.42153e15 | + | 6.04776e15i | 0.769450 | + | 1.36005i | ||||
\(701\) | 2.52511e15 | 0.563418 | 0.281709 | − | 0.959500i | \(-0.409099\pi\) | ||||
0.281709 | + | 0.959500i | \(0.409099\pi\) | |||||||
\(702\) | 3.91329e15 | + | 6.77801e15i | 0.866338 | + | 1.50054i | ||||
\(703\) | 1.14726e15 | − | 1.98711e15i | 0.252004 | − | 0.436483i | ||||
\(704\) | 5.76864e15 | − | 9.99158e15i | 1.25726 | − | 2.17763i | ||||
\(705\) | 3.35428e14 | + | 5.80978e14i | 0.0725369 | + | 0.125638i | ||||
\(706\) | −9.10747e14 | −0.195421 | ||||||||
\(707\) | 1.44667e15 | − | 2.45586e15i | 0.308007 | − | 0.522873i | ||||
\(708\) | −3.88231e15 | −0.820176 | ||||||||
\(709\) | −3.73946e15 | − | 6.47694e15i | −0.783890 | − | 1.35774i | −0.929660 | − | 0.368419i | \(-0.879899\pi\) |
0.145770 | − | 0.989318i | \(-0.453434\pi\) | |||||||
\(710\) | −5.79243e14 | + | 1.00328e15i | −0.120487 | + | 0.208689i | ||||
\(711\) | 2.74555e13 | − | 4.75543e13i | 0.00566692 | − | 0.00981539i | ||||
\(712\) | −2.02726e15 | − | 3.51131e15i | −0.415211 | − | 0.719166i | ||||
\(713\) | −6.54793e14 | −0.133080 | ||||||||
\(714\) | −5.51884e15 | + | 9.36877e15i | −1.11303 | + | 1.88948i | ||||
\(715\) | 1.17940e15 | 0.236036 | ||||||||
\(716\) | 6.93064e13 | + | 1.20042e14i | 0.0137642 | + | 0.0238403i | ||||
\(717\) | −1.26838e14 | + | 2.19689e14i | −0.0249973 | + | 0.0432966i | ||||
\(718\) | 2.42190e15 | − | 4.19485e15i | 0.473665 | − | 0.820412i | ||||
\(719\) | −1.55883e15 | − | 2.69998e15i | −0.302545 | − | 0.524024i | 0.674166 | − | 0.738580i | \(-0.264503\pi\) |
−0.976712 | + | 0.214555i | \(0.931170\pi\) | |||||||
\(720\) | 1.12074e13 | 0.00215863 | ||||||||
\(721\) | 4.18920e15 | + | 7.40468e15i | 0.800733 | + | 1.41534i | ||||
\(722\) | −6.85818e15 | −1.30093 | ||||||||
\(723\) | −3.03482e15 | − | 5.25646e15i | −0.571310 | − | 0.989539i | ||||
\(724\) | −7.38708e15 | + | 1.27948e16i | −1.38010 | + | 2.39041i | ||||
\(725\) | 3.85838e14 | − | 6.68291e14i | 0.0715396 | − | 0.123910i | ||||
\(726\) | −4.88308e15 | − | 8.45774e15i | −0.898550 | − | 1.55633i | ||||
\(727\) | −3.90223e14 | −0.0712646 | −0.0356323 | − | 0.999365i | \(-0.511345\pi\) | ||||
−0.0356323 | + | 0.999365i | \(0.511345\pi\) | |||||||
\(728\) | 5.27939e15 | + | 4.61596e13i | 0.956888 | + | 0.00836641i | ||||
\(729\) | 5.83842e15 | 1.05025 | ||||||||
\(730\) | −9.28542e13 | − | 1.60828e14i | −0.0165778 | − | 0.0287135i | ||||
\(731\) | 1.50124e15 | − | 2.60022e15i | 0.266013 | − | 0.460748i | ||||
\(732\) | −3.87605e15 | + | 6.71352e15i | −0.681677 | + | 1.18070i | ||||
\(733\) | 8.73709e14 | + | 1.51331e15i | 0.152509 | + | 0.264153i | 0.932149 | − | 0.362075i | \(-0.117931\pi\) |
−0.779640 | + | 0.626228i | \(0.784598\pi\) | |||||||
\(734\) | −1.34656e16 | −2.33291 | ||||||||
\(735\) | 7.15231e14 | + | 1.25080e13i | 0.122989 | + | 0.00215083i | ||||
\(736\) | 7.58387e14 | 0.129438 | ||||||||
\(737\) | −2.93799e15 | − | 5.08874e15i | −0.497713 | − | 0.862064i | ||||
\(738\) | −9.24731e14 | + | 1.60168e15i | −0.155491 | + | 0.269318i | ||||
\(739\) | 1.21460e15 | − | 2.10376e15i | 0.202717 | − | 0.351116i | −0.746686 | − | 0.665177i | \(-0.768356\pi\) |
0.949403 | + | 0.314061i | \(0.101689\pi\) | |||||||
\(740\) | 8.54649e14 | + | 1.48030e15i | 0.141584 | + | 0.245230i | ||||
\(741\) | 2.10518e15 | 0.346169 | ||||||||
\(742\) | −7.44790e15 | − | 6.51196e13i | −1.21566 | − | 0.0106289i | ||||
\(743\) | −5.16965e15 | −0.837573 | −0.418786 | − | 0.908085i | \(-0.637544\pi\) | ||||
−0.418786 | + | 0.908085i | \(0.637544\pi\) | |||||||
\(744\) | −2.54418e15 | − | 4.40666e15i | −0.409164 | − | 0.708693i | ||||
\(745\) | −4.34969e13 | + | 7.53389e13i | −0.00694383 | + | 0.0120271i | ||||
\(746\) | 2.26239e14 | − | 3.91858e14i | 0.0358512 | − | 0.0620962i | ||||
\(747\) | −1.85142e15 | − | 3.20676e15i | −0.291234 | − | 0.504433i | ||||
\(748\) | 2.70809e16 | 4.22868 | ||||||||
\(749\) | 3.53018e15 | + | 6.23981e15i | 0.547201 | + | 0.967212i | ||||
\(750\) | −2.54769e15 | −0.392021 | ||||||||
\(751\) | 5.37437e15 | + | 9.30868e15i | 0.820934 | + | 1.42190i | 0.904988 | + | 0.425437i | \(0.139880\pi\) |
−0.0840542 | + | 0.996461i | \(0.526787\pi\) | |||||||
\(752\) | −1.49195e14 | + | 2.58412e14i | −0.0226232 | + | 0.0391846i | ||||
\(753\) | 6.64443e14 | − | 1.15085e15i | 0.100020 | − | 0.173239i | ||||
\(754\) | −7.81169e14 | − | 1.35302e15i | −0.116735 | − | 0.202192i | ||||
\(755\) | 2.50983e13 | 0.00372337 | ||||||||
\(756\) | 6.00069e15 | − | 1.01868e16i | 0.883754 | − | 1.50026i | ||||
\(757\) | 3.90808e15 | 0.571394 | 0.285697 | − | 0.958320i | \(-0.407775\pi\) | ||||
0.285697 | + | 0.958320i | \(0.407775\pi\) | |||||||
\(758\) | 9.72639e14 | + | 1.68466e15i | 0.141179 | + | 0.244530i | ||||
\(759\) | 5.37876e14 | − | 9.31628e14i | 0.0775090 | − | 0.134250i | ||||
\(760\) | −2.29734e14 | + | 3.97912e14i | −0.0328663 | + | 0.0569261i | ||||
\(761\) | 5.77888e15 | + | 1.00093e16i | 0.820783 | + | 1.42164i | 0.905100 | + | 0.425199i | \(0.139796\pi\) |
−0.0843173 | + | 0.996439i | \(0.526871\pi\) | |||||||
\(762\) | 8.89819e15 | 1.25473 | ||||||||
\(763\) | 6.47283e15 | − | 1.09883e16i | 0.906170 | − | 1.53831i | ||||
\(764\) | −8.07929e15 | −1.12295 | ||||||||
\(765\) | 3.47789e14 | + | 6.02389e14i | 0.0479931 | + | 0.0831264i | ||||
\(766\) | 6.82850e13 | − | 1.18273e14i | 0.00935550 | − | 0.0162042i | ||||
\(767\) | 2.33374e15 | − | 4.04215e15i | 0.317451 | − | 0.549842i | ||||
\(768\) | 2.76547e15 | + | 4.78993e15i | 0.373493 | + | 0.646908i | ||||
\(769\) | −1.30887e16 | −1.75510 | −0.877549 | − | 0.479486i | \(-0.840823\pi\) | ||||
−0.877549 | + | 0.479486i | \(0.840823\pi\) | |||||||
\(770\) | −1.42532e15 | − | 2.51934e15i | −0.189764 | − | 0.335419i | ||||
\(771\) | −6.54817e15 | −0.865607 | ||||||||
\(772\) | −1.31119e15 | − | 2.27104e15i | −0.172095 | − | 0.298078i | ||||
\(773\) | −7.18847e14 | + | 1.24508e15i | −0.0936806 | + | 0.162260i | −0.909057 | − | 0.416671i | \(-0.863197\pi\) |
0.815377 | + | 0.578931i | \(0.196530\pi\) | |||||||
\(774\) | −7.08603e14 | + | 1.22734e15i | −0.0916912 | + | 0.158814i | ||||
\(775\) | 4.02563e15 | + | 6.97259e15i | 0.517219 | + | 0.895849i | ||||
\(776\) | −5.07039e15 | −0.646847 | ||||||||
\(777\) | −7.21315e15 | − | 6.30671e13i | −0.913712 | − | 0.00798890i | ||||
\(778\) | 8.75337e15 | 1.10100 | ||||||||
\(779\) | 9.30909e14 | + | 1.61238e15i | 0.116266 | + | 0.201378i | ||||
\(780\) | −7.84124e14 | + | 1.35814e15i | −0.0972443 | + | 0.168432i | ||||
\(781\) | −6.08810e15 | + | 1.05449e16i | −0.749723 | + | 1.29856i | ||||
\(782\) | 1.41272e15 | + | 2.44690e15i | 0.172750 | + | 0.299212i | ||||
\(783\) | −1.31299e15 | −0.159431 | ||||||||
\(784\) | 1.54245e14 | + | 2.78288e14i | 0.0185983 | + | 0.0335549i | ||||
\(785\) | −1.34391e14 | −0.0160912 | ||||||||
\(786\) | −3.15916e15 | − | 5.47182e15i | −0.375619 | − | 0.650591i | ||||
\(787\) | 3.55942e15 | − | 6.16509e15i | 0.420260 | − | 0.727912i | −0.575705 | − | 0.817658i | \(-0.695272\pi\) |
0.995965 | + | 0.0897460i | \(0.0286055\pi\) | |||||||
\(788\) | −9.05183e15 | + | 1.56782e16i | −1.06131 | + | 1.83824i | ||||
\(789\) | 6.28139e15 | + | 1.08797e16i | 0.731362 | + | 1.26676i | ||||
\(790\) | 6.69042e13 | 0.00773579 | ||||||||
\(791\) | 1.04317e16 | + | 9.12076e13i | 1.19779 | + | 0.0104727i | ||||
\(792\) | −4.79717e15 | −0.547012 | ||||||||
\(793\) | −4.65995e15 | − | 8.07128e15i | −0.527690 | − | 0.913986i | ||||
\(794\) | 2.37998e15 | − | 4.12225e15i | 0.267646 | − | 0.463577i | ||||
\(795\) | 4.15147e14 | − | 7.19056e14i | 0.0463642 | − | 0.0803051i | ||||
\(796\) | −1.00930e16 | − | 1.74816e16i | −1.11943 | − | 1.93892i | ||||
\(797\) | −6.43119e15 | −0.708387 | −0.354193 | − | 0.935172i | \(-0.615244\pi\) | ||||
−0.354193 | + | 0.935172i | \(0.615244\pi\) | |||||||
\(798\) | −2.54413e15 | − | 4.49690e15i | −0.278306 | − | 0.491923i | ||||
\(799\) | −1.85192e16 | −2.01194 | ||||||||
\(800\) | −4.66252e15 | − | 8.07571e15i | −0.503067 | − | 0.871337i | ||||
\(801\) | 1.45829e15 | − | 2.52584e15i | 0.156267 | − | 0.270662i | ||||
\(802\) | 2.30979e15 | − | 4.00067e15i | 0.245818 | − | 0.425769i | ||||
\(803\) | −9.75939e14 | − | 1.69038e15i | −0.103154 | − | 0.178668i | ||||
\(804\) | 7.81328e15 | 0.820210 | ||||||||
\(805\) | 9.43436e13 | − | 1.60158e14i | 0.00983637 | − | 0.0166982i | ||||
\(806\) | 1.63006e16 | 1.68795 | ||||||||
\(807\) | −4.73316e14 | − | 8.19807e14i | −0.0486796 | − | 0.0843155i | ||||
\(808\) | 2.87773e15 | − | 4.98438e15i | 0.293960 | − | 0.509153i | ||||
\(809\) | 8.05648e15 | − | 1.39542e16i | 0.817388 | − | 1.41576i | −0.0902123 | − | 0.995923i | \(-0.528755\pi\) |
0.907600 | − | 0.419835i | \(-0.137912\pi\) | |||||||
\(810\) | 6.20419e14 | + | 1.07460e15i | 0.0625197 | + | 0.108287i | ||||
\(811\) | −9.06006e15 | −0.906810 | −0.453405 | − | 0.891305i | \(-0.649791\pi\) | ||||
−0.453405 | + | 0.891305i | \(0.649791\pi\) | |||||||
\(812\) | −1.19786e15 | + | 2.03348e15i | −0.119082 | + | 0.202154i | ||||
\(813\) | 7.68196e15 | 0.758532 | ||||||||
\(814\) | 1.45943e16 | + | 2.52781e16i | 1.43136 | + | 2.47920i | ||||
\(815\) | 3.75055e14 | − | 6.49614e14i | 0.0365366 | − | 0.0632833i | ||||
\(816\) | 2.69570e14 | − | 4.66909e14i | 0.0260841 | − | 0.0451790i | ||||
\(817\) | 7.13337e14 | + | 1.23554e15i | 0.0685604 | + | 0.118750i | ||||
\(818\) | −7.11842e15 | −0.679580 | ||||||||
\(819\) | 1.87009e15 | + | 3.30550e15i | 0.177338 | + | 0.313456i | ||||
\(820\) | −1.38696e15 | −0.130643 | ||||||||
\(821\) | −1.58711e14 | − | 2.74896e14i | −0.0148498 | − | 0.0257206i | 0.858505 | − | 0.512805i | \(-0.171394\pi\) |
−0.873355 | + | 0.487085i | \(0.838060\pi\) | |||||||
\(822\) | 4.77178e15 | − | 8.26496e15i | 0.443491 | − | 0.768150i | ||||
\(823\) | −7.41593e15 | + | 1.28448e16i | −0.684647 | + | 1.18584i | 0.288901 | + | 0.957359i | \(0.406710\pi\) |
−0.973548 | + | 0.228484i | \(0.926623\pi\) | |||||||
\(824\) | 8.58952e15 | + | 1.48775e16i | 0.787715 | + | 1.36436i | ||||
\(825\) | −1.32273e16 | −1.20497 | ||||||||
\(826\) | −1.14548e16 | − | 1.00154e14i | −1.03657 | − | 0.00906310i | ||||
\(827\) | 1.27139e16 | 1.14287 | 0.571435 | − | 0.820647i | \(-0.306387\pi\) | ||||
0.571435 | + | 0.820647i | \(0.306387\pi\) | |||||||
\(828\) | −4.10425e14 | − | 7.10876e14i | −0.0366494 | − | 0.0634786i | ||||
\(829\) | 5.29221e15 | − | 9.16638e15i | 0.469448 | − | 0.813107i | −0.529942 | − | 0.848034i | \(-0.677786\pi\) |
0.999390 | + | 0.0349264i | \(0.0111197\pi\) | |||||||
\(830\) | 2.25580e15 | − | 3.90715e15i | 0.198779 | − | 0.344295i | ||||
\(831\) | −5.07221e14 | − | 8.78532e14i | −0.0444009 | − | 0.0769046i | ||||
\(832\) | −1.84437e16 | −1.60387 | ||||||||
\(833\) | −1.01711e16 | + | 1.69264e16i | −0.878663 | + | 1.46223i | ||||
\(834\) | 1.30879e16 | 1.12320 | ||||||||
\(835\) | 3.80328e14 | + | 6.58747e14i | 0.0324252 | + | 0.0561621i | ||||
\(836\) | −6.43398e15 | + | 1.11440e16i | −0.544936 | + | 0.943856i | ||||
\(837\) | 6.84952e15 | − | 1.18637e16i | 0.576329 | − | 0.998230i | ||||
\(838\) | −5.18359e15 | − | 8.97825e15i | −0.433300 | − | 0.750498i | ||||
\(839\) | 1.41468e16 | 1.17481 | 0.587405 | − | 0.809293i | \(-0.300150\pi\) | ||||
0.587405 | + | 0.809293i | \(0.300150\pi\) | |||||||
\(840\) | 1.44441e15 | + | 1.26290e13i | 0.119166 | + | 0.00104191i | ||||
\(841\) | −1.19384e16 | −0.978517 | ||||||||
\(842\) | 1.59835e16 | + | 2.76842e16i | 1.30153 | + | 2.25432i | ||||
\(843\) | −5.88883e15 | + | 1.01998e16i | −0.476406 | + | 0.825160i | ||||
\(844\) | 6.62335e15 | − | 1.14720e16i | 0.532347 | − | 0.922052i | ||||
\(845\) | 2.35580e13 | + | 4.08037e13i | 0.00188117 | + | 0.00325828i | ||||
\(846\) | 8.74132e15 | 0.693490 | ||||||||
\(847\) | −8.73353e15 | − | 1.54371e16i | −0.688385 | − | 1.21676i | ||||
\(848\) | 3.69306e14 | 0.0289207 | ||||||||
\(849\) | −6.01387e15 | − | 1.04163e16i | −0.467909 | − | 0.810442i | ||||
\(850\) | 1.73706e16 | − | 3.00868e16i | 1.34280 | − | 2.32579i | ||||
\(851\) | −9.37195e14 | + | 1.62327e15i | −0.0719809 | + | 0.124675i | ||||
\(852\) | −8.09533e15 | − | 1.40215e16i | −0.617756 | − | 1.06998i | ||||
\(853\) | 1.61132e16 | 1.22170 | 0.610848 | − | 0.791748i | \(-0.290829\pi\) | ||||
0.610848 | + | 0.791748i | \(0.290829\pi\) | |||||||
\(854\) | −1.16096e16 | + | 1.97084e16i | −0.874578 | + | 1.48468i | ||||
\(855\) | −3.30516e14 | −0.0247388 | ||||||||
\(856\) | 7.23826e15 | + | 1.25370e16i | 0.538305 | + | 0.932371i | ||||
\(857\) | −4.44785e14 | + | 7.70390e14i | −0.0328666 | + | 0.0569267i | −0.881991 | − | 0.471267i | \(-0.843797\pi\) |
0.849124 | + | 0.528193i | \(0.177130\pi\) | |||||||
\(858\) | −1.33900e16 | + | 2.31922e16i | −0.983108 | + | 1.70279i | ||||
\(859\) | 5.03520e15 | + | 8.72122e15i | 0.367328 | + | 0.636231i | 0.989147 | − | 0.146930i | \(-0.0469393\pi\) |
−0.621819 | + | 0.783161i | \(0.713606\pi\) | |||||||
\(860\) | −1.06280e15 | −0.0770388 | ||||||||
\(861\) | 2.97076e15 | − | 5.04317e15i | 0.213969 | − | 0.363234i | ||||
\(862\) | 1.34930e16 | 0.965646 | ||||||||
\(863\) | 4.27394e15 | + | 7.40268e15i | 0.303927 | + | 0.526417i | 0.977022 | − | 0.213139i | \(-0.0683688\pi\) |
−0.673095 | + | 0.739556i | \(0.735036\pi\) | |||||||
\(864\) | −7.93317e15 | + | 1.37407e16i | −0.560559 | + | 0.970917i | ||||
\(865\) | −9.54952e14 | + | 1.65403e15i | −0.0670491 | + | 0.116132i | ||||
\(866\) | −1.67138e16 | − | 2.89491e16i | −1.16607 | − | 2.01970i | ||||
\(867\) | 2.19632e16 | 1.52262 | ||||||||
\(868\) | −1.21249e16 | − | 2.14315e16i | −0.835256 | − | 1.47637i | ||||
\(869\) | 7.03193e14 | 0.0481355 | ||||||||
\(870\) | −2.13723e14 | − | 3.70179e14i | −0.0145377 | − | 0.0251800i | ||||
\(871\) | −4.69672e15 | + | 8.13496e15i | −0.317464 | + | 0.549865i | ||||
\(872\) | 1.28759e16 | − | 2.23017e16i | 0.864841 | − | 1.49795i | ||||
\(873\) | −1.82367e15 | − | 3.15870e15i | −0.121722 | − | 0.210829i | ||||
\(874\) | −1.34255e15 | −0.0890468 | ||||||||
\(875\) | −4.62668e15 | − | 4.04527e13i | −0.304948 | − | 0.00266626i | ||||
\(876\) | 2.59541e15 | 0.169994 | ||||||||
\(877\) | 3.87898e14 | + | 6.71859e14i | 0.0252476 | + | 0.0437301i | 0.878373 | − | 0.477976i | \(-0.158629\pi\) |
−0.853126 | + | 0.521706i | \(0.825296\pi\) | |||||||
\(878\) | −7.56316e15 | + | 1.30998e16i | −0.489197 | + | 0.847313i | ||||
\(879\) | −5.06994e15 | + | 8.78139e15i | −0.325885 | + | 0.564449i | ||||
\(880\) | 7.17614e13 | + | 1.24294e14i | 0.00458391 | + | 0.00793957i | ||||
\(881\) | −1.30373e16 | −0.827598 | −0.413799 | − | 0.910368i | \(-0.635798\pi\) | ||||
−0.413799 | + | 0.910368i | \(0.635798\pi\) | |||||||
\(882\) | 4.80092e15 | − | 7.98947e15i | 0.302863 | − | 0.504012i | ||||
\(883\) | −1.55889e16 | −0.977310 | −0.488655 | − | 0.872477i | \(-0.662512\pi\) | ||||
−0.488655 | + | 0.872477i | \(0.662512\pi\) | |||||||
\(884\) | −2.16461e16 | − | 3.74921e16i | −1.34863 | − | 2.33589i | ||||
\(885\) | 6.38495e14 | − | 1.10591e15i | 0.0395339 | − | 0.0684747i | ||||
\(886\) | −1.11845e16 | + | 1.93722e16i | −0.688228 | + | 1.19205i | ||||
\(887\) | −9.08589e15 | − | 1.57372e16i | −0.555632 | − | 0.962383i | −0.997854 | − | 0.0654774i | \(-0.979143\pi\) |
0.442222 | − | 0.896906i | \(-0.354190\pi\) | |||||||
\(888\) | −1.45658e16 | −0.885245 | ||||||||
\(889\) | 1.61594e16 | + | 1.41287e14i | 0.976036 | + | 0.00853382i | ||||
\(890\) | 3.55360e15 | 0.213316 | ||||||||
\(891\) | 6.52087e15 | + | 1.12945e16i | 0.389026 | + | 0.673812i | ||||
\(892\) | −4.71769e15 | + | 8.17128e15i | −0.279719 | + | 0.484488i | ||||
\(893\) | 4.39986e15 | − | 7.62078e15i | 0.259272 | − | 0.449073i | ||||
\(894\) | −9.87662e14 | − | 1.71068e15i | −0.0578432 | − | 0.100187i | ||||
\(895\) | −4.55933e13 | −0.00265384 | ||||||||
\(896\) | 1.35165e16 | + | 2.38913e16i | 0.781936 | + | 1.38212i | ||||
\(897\) | −1.71972e15 | −0.0988777 | ||||||||
\(898\) | −7.54942e14 | − | 1.30760e15i | −0.0431413 | − | 0.0747230i | ||||
\(899\) | −1.36730e15 | + | 2.36823e15i | −0.0776578 | + | 0.134507i | ||||
\(900\) | −5.04653e15 | + | 8.74085e15i | −0.284878 | + | 0.493424i | ||||
\(901\) | 1.14603e16 | + | 1.98498e16i | 0.642998 | + | 1.11371i | ||||
\(902\) | −2.36843e16 | −1.32076 | ||||||||
\(903\) | 2.27644e15 | − | 3.86448e15i | 0.126175 | − | 0.214195i | ||||
\(904\) | 2.10651e16 | 1.16048 | ||||||||
\(905\) | −2.42980e15 | − | 4.20854e15i | −0.133046 | − | 0.230443i | ||||
\(906\) | −2.84947e14 | + | 4.93542e14i | −0.0155081 | + | 0.0268608i | ||||
\(907\) | −1.45618e16 | + | 2.52217e16i | −0.787724 | + | 1.36438i | 0.139634 | + | 0.990203i | \(0.455408\pi\) |
−0.927358 | + | 0.374175i | \(0.877926\pi\) | |||||||
\(908\) | 2.25907e16 | + | 3.91283e16i | 1.21467 | + | 2.10387i | ||||
\(909\) | 4.14015e15 | 0.221266 | ||||||||
\(910\) | −2.34861e15 | + | 3.98701e15i | −0.124762 | + | 0.211797i | ||||
\(911\) | 2.29607e16 | 1.21237 | 0.606183 | − | 0.795325i | \(-0.292700\pi\) | ||||
0.606183 | + | 0.795325i | \(0.292700\pi\) | |||||||
\(912\) | 1.28091e14 | + | 2.21860e14i | 0.00672274 | + | 0.0116441i | ||||
\(913\) | 2.37094e16 | − | 4.10659e16i | 1.23689 | − | 2.14236i | ||||
\(914\) | 2.21495e16 | − | 3.83641e16i | 1.14858 | − | 1.98939i | ||||
\(915\) | −1.27493e15 | − | 2.20825e15i | −0.0657160 | − | 0.113823i | ||||
\(916\) | 2.35597e16 | 1.20711 | ||||||||
\(917\) | −5.65025e15 | − | 9.98716e15i | −0.287764 | − | 0.508640i | ||||
\(918\) | −5.91114e16 | −2.99252 | ||||||||
\(919\) | 4.74115e14 | + | 8.21191e14i | 0.0238588 | + | 0.0413246i | 0.877708 | − | 0.479195i | \(-0.159071\pi\) |
−0.853849 | + | 0.520520i | \(0.825738\pi\) | |||||||
\(920\) | 1.87670e14 | − | 3.25054e14i | 0.00938775 | − | 0.0162601i | ||||
\(921\) | 1.35340e16 | − | 2.34415e16i | 0.672972 | − | 1.16562i | ||||
\(922\) | 2.40603e16 | + | 4.16737e16i | 1.18927 | + | 2.05988i | ||||
\(923\) | 1.94651e16 | 0.956417 | ||||||||
\(924\) | 4.04523e16 | + | 3.53689e14i | 1.97582 | + | 0.0172753i | ||||
\(925\) | 2.30473e16 | 1.11903 | ||||||||
\(926\) | −2.37659e16 | − | 4.11637e16i | −1.14708 | − | 1.98680i | ||||
\(927\) | −6.17881e15 | + | 1.07020e16i | −0.296460 | + | 0.513484i | ||||
\(928\) | 1.58362e15 | − | 2.74291e15i | 0.0755329 | − | 0.130827i | ||||
\(929\) | −1.01591e16 | − | 1.75961e16i | −0.481691 | − | 0.834314i | 0.518088 | − | 0.855327i | \(-0.326644\pi\) |
−0.999779 | + | 0.0210134i | \(0.993311\pi\) | |||||||
\(930\) | 4.45973e15 | 0.210210 | ||||||||
\(931\) | −4.54881e15 | − | 8.20692e15i | −0.213145 | − | 0.384553i | ||||
\(932\) | −2.32561e16 | −1.08330 | ||||||||
\(933\) | −2.67279e15 | − | 4.62940e15i | −0.123770 | − | 0.214376i | ||||
\(934\) | −1.49011e16 | + | 2.58095e16i | −0.685980 | + | 1.18815i | ||||
\(935\) | −4.45380e15 | + | 7.71422e15i | −0.203830 | + | 0.353043i | ||||
\(936\) | 3.83442e15 | + | 6.64141e15i | 0.174455 | + | 0.302165i | ||||
\(937\) | −2.81387e16 | −1.27273 | −0.636365 | − | 0.771388i | \(-0.719563\pi\) | ||||
−0.636365 | + | 0.771388i | \(0.719563\pi\) | |||||||
\(938\) | 2.30533e16 | + | 2.01563e14i | 1.03661 | + | 0.00906348i | ||||
\(939\) | −2.39345e16 | −1.06995 | ||||||||
\(940\) | 3.27767e15 | + | 5.67709e15i | 0.145667 | + | 0.252303i | ||||
\(941\) | −1.49250e16 | + | 2.58509e16i | −0.659435 | + | 1.14218i | 0.321327 | + | 0.946968i | \(0.395871\pi\) |
−0.980762 | + | 0.195207i | \(0.937462\pi\) | |||||||
\(942\) | 1.52578e15 | − | 2.64273e15i | 0.0670211 | − | 0.116084i | ||||
\(943\) | −7.60459e14 | − | 1.31715e15i | −0.0332094 | − | 0.0575204i | ||||
\(944\) | 5.67991e14 | 0.0246601 | ||||||||
\(945\) | 1.91489e15 | + | 3.38469e15i | 0.0826549 | + | 0.146098i | ||||
\(946\) | −1.81488e16 | −0.778837 | ||||||||
\(947\) | 3.71123e15 | + | 6.42804e15i | 0.158341 | + | 0.274254i | 0.934271 | − | 0.356565i | \(-0.116052\pi\) |
−0.775930 | + | 0.630819i | \(0.782719\pi\) | |||||||
\(948\) | −4.67517e14 | + | 8.09764e14i | −0.0198313 | + | 0.0343489i | ||||
\(949\) | −1.56015e15 | + | 2.70227e15i | −0.0657966 | + | 0.113963i | ||||
\(950\) | 8.25393e15 | + | 1.42962e16i | 0.346084 | + | 0.599434i | ||||
\(951\) | 1.52572e16 | 0.636038 | ||||||||
\(952\) | −2.02386e16 | + | 3.43571e16i | −0.838838 | + | 1.42401i | ||||
\(953\) | −4.23405e16 | −1.74480 | −0.872399 | − | 0.488795i | \(-0.837437\pi\) | ||||
−0.872399 | + | 0.488795i | \(0.837437\pi\) | |||||||
\(954\) | −5.40941e15 | − | 9.36938e15i | −0.221633 | − | 0.383879i | ||||
\(955\) | 1.32874e15 | − | 2.30145e15i | 0.0541280 | − | 0.0937525i | ||||
\(956\) | −1.23941e15 | + | 2.14672e15i | −0.0501991 | + | 0.0869475i | ||||
\(957\) | −2.24632e15 | − | 3.89074e15i | −0.0904598 | − | 0.156681i | ||||
\(958\) | −1.13435e16 | −0.454190 | ||||||||
\(959\) | 8.79694e15 | − | 1.49337e16i | 0.350211 | − | 0.594517i | ||||
\(960\) | −5.04608e15 | −0.199739 | ||||||||
\(961\) | −1.56142e15 | − | 2.70445e15i | −0.0614525 | − | 0.106439i | ||||
\(962\) | 2.33308e16 | − | 4.04101e16i | 0.912991 | − | 1.58135i | ||||
\(963\) | −5.20679e15 | + | 9.01843e15i | −0.202594 | + | 0.350902i | ||||
\(964\) | −2.96551e16 | − | 5.13641e16i | −1.14730 | − | 1.98717i | ||||
\(965\) | 8.62564e14 | 0.0331811 | ||||||||
\(966\) | 2.07830e15 | + | 3.67352e15i | 0.0794938 | + | 0.140510i | ||||
\(967\) | 4.55853e15 | 0.173372 | 0.0866861 | − | 0.996236i | \(-0.472372\pi\) | ||||
0.0866861 | + | 0.996236i | \(0.472372\pi\) | |||||||
\(968\) | −1.79072e16 | − | 3.10161e16i | −0.677193 | − | 1.17293i | ||||
\(969\) | −7.94983e15 | + | 1.37695e16i | −0.298935 | + | 0.517771i | ||||
\(970\) | 2.22199e15 | − | 3.84859e15i | 0.0830801 | − | 0.143899i | ||||
\(971\) | −2.16374e16 | − | 3.74771e16i | −0.804450 | − | 1.39335i | −0.916661 | − | 0.399665i | \(-0.869127\pi\) |
0.112211 | − | 0.993684i | \(-0.464207\pi\) | |||||||
\(972\) | 2.97577e16 | 1.10011 | ||||||||
\(973\) | 2.37680e16 | + | 2.07812e14i | 0.873719 | + | 0.00763923i | ||||
\(974\) | 3.62595e16 | 1.32540 | ||||||||
\(975\) | 1.05727e16 | + | 1.83125e16i | 0.384292 | + | 0.665613i | ||||
\(976\) | 5.67076e14 | − | 9.82204e14i | 0.0204959 | − | 0.0355000i | ||||
\(977\) | −1.48065e16 | + | 2.56455e16i | −0.532146 | + | 0.921705i | 0.467149 | + | 0.884179i | \(0.345281\pi\) |
−0.999296 | + | 0.0375262i | \(0.988052\pi\) | |||||||
\(978\) | 8.51618e15 | + | 1.47505e16i | 0.304356 | + | 0.527159i | ||||
\(979\) | 3.73499e16 | 1.32735 | ||||||||
\(980\) | 6.98896e15 | + | 1.22223e14i | 0.246984 | + | 0.00431927i | ||||
\(981\) | 1.85244e16 | 0.650974 | ||||||||
\(982\) | 3.69377e15 | + | 6.39781e15i | 0.129079 | + | 0.223572i | ||||
\(983\) | −1.16763e16 | + | 2.02240e16i | −0.405753 | + | 0.702785i | −0.994409 | − | 0.105599i | \(-0.966324\pi\) |
0.588656 | + | 0.808384i | \(0.299657\pi\) | |||||||
\(984\) | 5.90950e15 | − | 1.02355e16i | 0.204210 | − | 0.353702i | ||||
\(985\) | −2.97738e15 | − | 5.15697e15i | −0.102314 | − | 0.177213i | ||||
\(986\) | 1.17998e16 | 0.403229 | ||||||||
\(987\) | −2.76632e16 | − | 2.41869e14i | −0.940066 | − | 0.00821932i | ||||
\(988\) | 2.05710e16 | 0.695171 | ||||||||
\(989\) | −5.82725e14 | − | 1.00931e15i | −0.0195832 | − | 0.0339191i | ||||
\(990\) | 2.10225e15 | − | 3.64121e15i | 0.0702573 | − | 0.121689i | ||||
\(991\) | −6.11051e15 | + | 1.05837e16i | −0.203083 | + | 0.351749i | −0.949520 | − | 0.313706i | \(-0.898429\pi\) |
0.746438 | + | 0.665455i | \(0.231763\pi\) | |||||||
\(992\) | 1.65226e16 | + | 2.86180e16i | 0.546090 | + | 0.945856i | ||||
\(993\) | 2.44413e15 | 0.0803347 | ||||||||
\(994\) | −2.35238e16 | − | 4.15797e16i | −0.768921 | − | 1.35912i | ||||
\(995\) | 6.63969e15 | 0.215834 | ||||||||
\(996\) | 3.15264e16 | + | 5.46053e16i | 1.01917 | + | 1.76526i | ||||
\(997\) | −8.69500e15 | + | 1.50602e16i | −0.279541 | + | 0.484180i | −0.971271 | − | 0.237977i | \(-0.923516\pi\) |
0.691729 | + | 0.722157i | \(0.256849\pi\) | |||||||
\(998\) | 3.75647e15 | − | 6.50639e15i | 0.120105 | − | 0.208028i | ||||
\(999\) | −1.96072e16 | − | 3.39607e16i | −0.623457 | − | 1.07986i |
(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 | 7.12.c.a.4.1 | yes | 12 | |
3.2 | odd | 2 | 63.12.e.b.46.6 | 12 | |||
4.3 | odd | 2 | 112.12.i.c.81.5 | 12 | |||
7.2 | even | 3 | inner | 7.12.c.a.2.1 | ✓ | 12 | |
7.3 | odd | 6 | 49.12.a.f.1.6 | 6 | |||
7.4 | even | 3 | 49.12.a.g.1.6 | 6 | |||
7.5 | odd | 6 | 49.12.c.i.30.1 | 12 | |||
7.6 | odd | 2 | 49.12.c.i.18.1 | 12 | |||
21.2 | odd | 6 | 63.12.e.b.37.6 | 12 | |||
28.23 | odd | 6 | 112.12.i.c.65.5 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
7.12.c.a.2.1 | ✓ | 12 | 7.2 | even | 3 | inner | |
7.12.c.a.4.1 | yes | 12 | 1.1 | even | 1 | trivial | |
49.12.a.f.1.6 | 6 | 7.3 | odd | 6 | |||
49.12.a.g.1.6 | 6 | 7.4 | even | 3 | |||
49.12.c.i.18.1 | 12 | 7.6 | odd | 2 | |||
49.12.c.i.30.1 | 12 | 7.5 | odd | 6 | |||
63.12.e.b.37.6 | 12 | 21.2 | odd | 6 | |||
63.12.e.b.46.6 | 12 | 3.2 | odd | 2 | |||
112.12.i.c.65.5 | 12 | 28.23 | odd | 6 | |||
112.12.i.c.81.5 | 12 | 4.3 | odd | 2 |