Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,9,Mod(3,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.70330054086\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 1771 x^{10} + 26038 x^{9} + 2442597 x^{8} + 26522276 x^{7} + 1175865280 x^{6} + 6901058684 x^{5} + 370996492174 x^{4} + \cdots + 36\!\cdots\!00 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{24}\cdot 3^{4}\cdot 7^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Root | \(3.92504 + 6.79836i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.5 |
Dual form | 14.9.d.a.3.1 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.65685 | + | 9.79796i | −0.353553 | + | 0.612372i | ||||
\(3\) | −90.8670 | + | 52.4621i | −1.12181 | + | 0.647680i | −0.941864 | − | 0.335996i | \(-0.890927\pi\) |
−0.179951 | + | 0.983676i | \(0.557594\pi\) | |||||||
\(4\) | −64.0000 | − | 110.851i | −0.250000 | − | 0.433013i | ||||
\(5\) | 32.9005 | + | 18.9951i | 0.0526408 | + | 0.0303922i | 0.526089 | − | 0.850429i | \(-0.323658\pi\) |
−0.473449 | + | 0.880821i | \(0.656991\pi\) | |||||||
\(6\) | − | 1187.08i | − | 0.915958i | ||||||
\(7\) | 1399.84 | − | 1950.71i | 0.583022 | − | 0.812456i | ||||
\(8\) | 1448.15 | 0.353553 | ||||||||
\(9\) | 2224.04 | − | 3852.15i | 0.338979 | − | 0.587128i | ||||
\(10\) | −372.227 | + | 214.905i | −0.0372227 | + | 0.0214905i | ||||
\(11\) | −7796.05 | − | 13503.2i | −0.532481 | − | 0.922283i | −0.999281 | − | 0.0379205i | \(-0.987927\pi\) |
0.466800 | − | 0.884363i | \(-0.345407\pi\) | |||||||
\(12\) | 11631.0 | + | 6715.15i | 0.560907 | + | 0.323840i | ||||
\(13\) | − | 24124.1i | − | 0.844653i | −0.906444 | − | 0.422327i | \(-0.861213\pi\) | ||
0.906444 | − | 0.422327i | \(-0.138787\pi\) | |||||||
\(14\) | 11194.3 | + | 24750.4i | 0.291396 | + | 0.644273i | ||||
\(15\) | −3986.09 | −0.0787376 | ||||||||
\(16\) | −8192.00 | + | 14189.0i | −0.125000 | + | 0.216506i | ||||
\(17\) | −116609. | + | 67324.1i | −1.39616 | + | 0.806074i | −0.993988 | − | 0.109489i | \(-0.965078\pi\) |
−0.402174 | + | 0.915563i | \(0.631745\pi\) | |||||||
\(18\) | 25162.1 | + | 43582.1i | 0.239694 | + | 0.415162i | ||||
\(19\) | 16814.6 | + | 9707.91i | 0.129024 | + | 0.0744923i | 0.563123 | − | 0.826373i | \(-0.309600\pi\) |
−0.434099 | + | 0.900865i | \(0.642933\pi\) | |||||||
\(20\) | − | 4862.75i | − | 0.0303922i | ||||||
\(21\) | −24860.8 | + | 250693.i | −0.127832 | + | 1.28904i | ||||
\(22\) | 176404. | 0.753041 | ||||||||
\(23\) | 193329. | − | 334855.i | 0.690852 | − | 1.19659i | −0.280707 | − | 0.959793i | \(-0.590569\pi\) |
0.971559 | − | 0.236797i | \(-0.0760977\pi\) | |||||||
\(24\) | −131589. | + | 75973.2i | −0.396621 | + | 0.228989i | ||||
\(25\) | −194591. | − | 337041.i | −0.498153 | − | 0.862826i | ||||
\(26\) | 236367. | + | 136467.i | 0.517243 | + | 0.298630i | ||||
\(27\) | − | 221697.i | − | 0.417161i | ||||||
\(28\) | −305828. | − | 30328.4i | −0.497559 | − | 0.0493421i | ||||
\(29\) | −653074. | −0.923359 | −0.461679 | − | 0.887047i | \(-0.652753\pi\) | ||||
−0.461679 | + | 0.887047i | \(0.652753\pi\) | |||||||
\(30\) | 22548.7 | − | 39055.6i | 0.0278380 | − | 0.0482168i | ||||
\(31\) | 511920. | − | 295557.i | 0.554313 | − | 0.320033i | −0.196547 | − | 0.980494i | \(-0.562973\pi\) |
0.750860 | + | 0.660462i | \(0.229639\pi\) | |||||||
\(32\) | −92681.9 | − | 160530.i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 1.41681e6 | + | 817994.i | 1.19469 | + | 0.689754i | ||||
\(34\) | − | 1.52337e6i | − | 1.13996i | ||||||
\(35\) | 83109.2 | − | 37589.2i | 0.0553831 | − | 0.0250490i | ||||
\(36\) | −569354. | −0.338979 | ||||||||
\(37\) | 285739. | − | 494914.i | 0.152462 | − | 0.264072i | −0.779670 | − | 0.626191i | \(-0.784613\pi\) |
0.932132 | + | 0.362119i | \(0.117946\pi\) | |||||||
\(38\) | −190235. | + | 109833.i | −0.0912341 | + | 0.0526740i | ||||
\(39\) | 1.26560e6 | + | 2.19209e6i | 0.547065 | + | 0.947545i | ||||
\(40\) | 47645.0 | + | 27507.9i | 0.0186113 | + | 0.0107453i | ||||
\(41\) | 4.86784e6i | 1.72267i | 0.508041 | + | 0.861333i | \(0.330370\pi\) | ||||
−0.508041 | + | 0.861333i | \(0.669630\pi\) | |||||||
\(42\) | −2.31565e6 | − | 1.66172e6i | −0.744175 | − | 0.534024i | ||||
\(43\) | −5.56831e6 | −1.62873 | −0.814366 | − | 0.580351i | \(-0.802915\pi\) | ||||
−0.814366 | + | 0.580351i | \(0.802915\pi\) | |||||||
\(44\) | −997894. | + | 1.72840e6i | −0.266240 | + | 0.461142i | ||||
\(45\) | 146344. | − | 84491.7i | 0.0356882 | − | 0.0206046i | ||||
\(46\) | 2.18726e6 | + | 3.78845e6i | 0.488506 | + | 0.846117i | ||||
\(47\) | 1.97312e6 | + | 1.13918e6i | 0.404354 | + | 0.233454i | 0.688361 | − | 0.725368i | \(-0.258331\pi\) |
−0.284007 | + | 0.958822i | \(0.591664\pi\) | |||||||
\(48\) | − | 1.71908e6i | − | 0.323840i | ||||||
\(49\) | −1.84571e6 | − | 5.46134e6i | −0.320170 | − | 0.947360i | ||||
\(50\) | 4.40309e6 | 0.704494 | ||||||||
\(51\) | 7.06393e6 | − | 1.22351e7i | 1.04416 | − | 1.80853i | ||||
\(52\) | −2.67419e6 | + | 1.54395e6i | −0.365746 | + | 0.211163i | ||||
\(53\) | −196895. | − | 341032.i | −0.0249535 | − | 0.0432207i | 0.853279 | − | 0.521455i | \(-0.174610\pi\) |
−0.878232 | + | 0.478234i | \(0.841277\pi\) | |||||||
\(54\) | 2.17217e6 | + | 1.25411e6i | 0.255458 | + | 0.147489i | ||||
\(55\) | − | 592347.i | − | 0.0647330i | ||||||
\(56\) | 2.02718e6 | − | 2.82493e6i | 0.206130 | − | 0.287247i | ||||
\(57\) | −2.03719e6 | −0.192989 | ||||||||
\(58\) | 3.69434e6 | − | 6.39879e6i | 0.326457 | − | 0.565439i | ||||
\(59\) | −1.17552e7 | + | 6.78688e6i | −0.970114 | + | 0.560096i | −0.899271 | − | 0.437392i | \(-0.855902\pi\) |
−0.0708432 | + | 0.997487i | \(0.522569\pi\) | |||||||
\(60\) | 255110. | + | 441863.i | 0.0196844 | + | 0.0340944i | ||||
\(61\) | 6.72748e6 | + | 3.88411e6i | 0.485884 | + | 0.280525i | 0.722865 | − | 0.690989i | \(-0.242825\pi\) |
−0.236981 | + | 0.971514i | \(0.576158\pi\) | |||||||
\(62\) | 6.68769e6i | 0.452595i | ||||||||
\(63\) | −4.40112e6 | − | 9.73083e6i | −0.279384 | − | 0.617714i | ||||
\(64\) | 2.09715e6 | 0.125000 | ||||||||
\(65\) | 458241. | − | 793697.i | 0.0256709 | − | 0.0444632i | ||||
\(66\) | −1.60293e7 | + | 9.25454e6i | −0.844773 | + | 0.487730i | ||||
\(67\) | −1.77485e7 | − | 3.07414e7i | −0.880772 | − | 1.52554i | −0.850484 | − | 0.526000i | \(-0.823691\pi\) |
−0.0302875 | − | 0.999541i | \(-0.509642\pi\) | |||||||
\(68\) | 1.49259e7 | + | 8.61749e6i | 0.698081 | + | 0.403037i | ||||
\(69\) | 4.05697e7i | 1.78980i | ||||||||
\(70\) | −101840. | + | 1.02694e6i | −0.00424155 | + | 0.0427712i | ||||
\(71\) | 3.53731e7 | 1.39200 | 0.696000 | − | 0.718041i | \(-0.254961\pi\) | ||||
0.696000 | + | 0.718041i | \(0.254961\pi\) | |||||||
\(72\) | 3.22075e6 | − | 5.57851e6i | 0.119847 | − | 0.207581i | ||||
\(73\) | −3.46798e7 | + | 2.00224e7i | −1.22119 | + | 0.705057i | −0.965173 | − | 0.261614i | \(-0.915745\pi\) |
−0.256022 | + | 0.966671i | \(0.582412\pi\) | |||||||
\(74\) | 3.23276e6 | + | 5.59931e6i | 0.107807 | + | 0.186727i | ||||
\(75\) | 3.53638e7 | + | 2.04173e7i | 1.11767 | + | 0.645287i | ||||
\(76\) | − | 2.48523e6i | − | 0.0744923i | ||||||
\(77\) | −3.72539e7 | − | 3.69441e6i | −1.05976 | − | 0.105095i | ||||
\(78\) | −2.86373e7 | −0.773667 | ||||||||
\(79\) | 1.81094e7 | − | 3.13663e7i | 0.464938 | − | 0.805296i | −0.534261 | − | 0.845320i | \(-0.679410\pi\) |
0.999199 | + | 0.0400239i | \(0.0127434\pi\) | |||||||
\(80\) | −539042. | + | 311216.i | −0.0131602 | + | 0.00759805i | ||||
\(81\) | 2.62226e7 | + | 4.54188e7i | 0.609166 | + | 1.05511i | ||||
\(82\) | −4.76949e7 | − | 2.75367e7i | −1.05491 | − | 0.609054i | ||||
\(83\) | − | 2.35833e7i | − | 0.496926i | −0.968641 | − | 0.248463i | \(-0.920075\pi\) | ||
0.968641 | − | 0.248463i | \(-0.0799255\pi\) | |||||||
\(84\) | 2.93807e7 | − | 1.32885e7i | 0.590127 | − | 0.266907i | ||||
\(85\) | −5.11532e6 | −0.0979934 | ||||||||
\(86\) | 3.14991e7 | − | 5.45581e7i | 0.575844 | − | 0.997391i | ||||
\(87\) | 5.93429e7 | − | 3.42616e7i | 1.03584 | − | 0.598041i | ||||
\(88\) | −1.12899e7 | − | 1.95547e7i | −0.188260 | − | 0.326076i | ||||
\(89\) | 3.04692e7 | + | 1.75914e7i | 0.485625 | + | 0.280376i | 0.722758 | − | 0.691102i | \(-0.242874\pi\) |
−0.237133 | + | 0.971477i | \(0.576208\pi\) | |||||||
\(90\) | 1.91183e6i | 0.0291393i | ||||||||
\(91\) | −4.70591e7 | − | 3.37699e7i | −0.686244 | − | 0.492452i | ||||
\(92\) | −4.94921e7 | −0.690852 | ||||||||
\(93\) | −3.10111e7 | + | 5.37128e7i | −0.414558 | + | 0.718035i | ||||
\(94\) | −2.23233e7 | + | 1.28884e7i | −0.285921 | + | 0.165077i | ||||
\(95\) | 368806. | + | 638790.i | 0.00452797 | + | 0.00784267i | ||||
\(96\) | 1.68434e7 | + | 9.72457e6i | 0.198311 | + | 0.114495i | ||||
\(97\) | − | 4.41048e7i | − | 0.498194i | −0.968478 | − | 0.249097i | \(-0.919866\pi\) | ||
0.968478 | − | 0.249097i | \(-0.0801339\pi\) | |||||||
\(98\) | 6.39510e7 | + | 1.28098e7i | 0.693334 | + | 0.138879i | ||||
\(99\) | −6.93549e7 | −0.721998 | ||||||||
\(100\) | −2.49076e7 | + | 4.31413e7i | −0.249076 | + | 0.431413i | ||||
\(101\) | 1.03813e8 | − | 5.99362e7i | 0.997618 | − | 0.575975i | 0.0900757 | − | 0.995935i | \(-0.471289\pi\) |
0.907543 | + | 0.419960i | \(0.137956\pi\) | |||||||
\(102\) | 7.99192e7 | + | 1.38424e8i | 0.738330 | + | 1.27883i | ||||
\(103\) | −1.79069e7 | − | 1.03386e7i | −0.159100 | − | 0.0918567i | 0.418336 | − | 0.908292i | \(-0.362614\pi\) |
−0.577436 | + | 0.816436i | \(0.695947\pi\) | |||||||
\(104\) | − | 3.49355e7i | − | 0.298630i | ||||||
\(105\) | −5.57988e6 | + | 7.77570e6i | −0.0459058 | + | 0.0639709i | ||||
\(106\) | 4.45523e6 | 0.0352896 | ||||||||
\(107\) | −6.79901e7 | + | 1.17762e8i | −0.518693 | + | 0.898403i | 0.481071 | + | 0.876682i | \(0.340248\pi\) |
−0.999764 | + | 0.0217212i | \(0.993085\pi\) | |||||||
\(108\) | −2.45753e7 | + | 1.41886e7i | −0.180636 | + | 0.104290i | ||||
\(109\) | −2.87066e7 | − | 4.97212e7i | −0.203365 | − | 0.352238i | 0.746246 | − | 0.665670i | \(-0.231854\pi\) |
−0.949610 | + | 0.313433i | \(0.898521\pi\) | |||||||
\(110\) | 5.80379e6 | + | 3.35082e6i | 0.0396407 | + | 0.0228866i | ||||
\(111\) | 5.99618e7i | 0.394987i | ||||||||
\(112\) | 1.62110e7 | + | 3.58424e7i | 0.103024 | + | 0.227785i | ||||
\(113\) | −6.28582e7 | −0.385521 | −0.192761 | − | 0.981246i | \(-0.561744\pi\) | ||||
−0.192761 | + | 0.981246i | \(0.561744\pi\) | |||||||
\(114\) | 1.15241e7 | − | 1.99603e7i | 0.0682318 | − | 0.118181i | ||||
\(115\) | 1.27212e7 | − | 7.34460e6i | 0.0727340 | − | 0.0419930i | ||||
\(116\) | 4.17967e7 | + | 7.23941e7i | 0.230840 | + | 0.399826i | ||||
\(117\) | −9.29298e7 | − | 5.36530e7i | −0.495920 | − | 0.286320i | ||||
\(118\) | − | 1.53570e8i | − | 0.792095i | ||||||
\(119\) | −3.19037e7 | + | 3.21712e8i | −0.159094 | + | 1.60428i | ||||
\(120\) | −5.77248e6 | −0.0278380 | ||||||||
\(121\) | −1.43773e7 | + | 2.49022e7i | −0.0670710 | + | 0.116170i | ||||
\(122\) | −7.61127e7 | + | 4.39437e7i | −0.343572 | + | 0.198361i | ||||
\(123\) | −2.55377e8 | − | 4.42326e8i | −1.11574 | − | 1.93251i | ||||
\(124\) | −6.55257e7 | − | 3.78313e7i | −0.277157 | − | 0.160016i | ||||
\(125\) | − | 2.96250e7i | − | 0.121344i | ||||||
\(126\) | 1.20239e8 | + | 1.19239e7i | 0.477048 | + | 0.0473081i | ||||
\(127\) | 5.05315e8 | 1.94244 | 0.971220 | − | 0.238185i | \(-0.0765526\pi\) | ||||
0.971220 | + | 0.238185i | \(0.0765526\pi\) | |||||||
\(128\) | −1.18633e7 | + | 2.05478e7i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 5.05976e8 | − | 2.92125e8i | 1.82714 | − | 1.05490i | ||||
\(130\) | 5.18440e6 | + | 8.97965e6i | 0.0181520 | + | 0.0314403i | ||||
\(131\) | −1.50007e8 | − | 8.66067e7i | −0.509363 | − | 0.294081i | 0.223209 | − | 0.974771i | \(-0.428347\pi\) |
−0.732572 | + | 0.680690i | \(0.761680\pi\) | |||||||
\(132\) | − | 2.09406e8i | − | 0.689754i | ||||||
\(133\) | 4.24750e7 | − | 1.92109e7i | 0.135746 | − | 0.0613960i | ||||
\(134\) | 4.01604e8 | 1.24560 | ||||||||
\(135\) | 4.21115e6 | − | 7.29393e6i | 0.0126784 | − | 0.0219597i | ||||
\(136\) | −1.68868e8 | + | 9.74958e7i | −0.493618 | + | 0.284990i | ||||
\(137\) | −8.66504e7 | − | 1.50083e8i | −0.245973 | − | 0.426039i | 0.716431 | − | 0.697658i | \(-0.245774\pi\) |
−0.962405 | + | 0.271619i | \(0.912441\pi\) | |||||||
\(138\) | −3.97500e8 | − | 2.29497e8i | −1.09603 | − | 0.632791i | ||||
\(139\) | 4.82237e8i | 1.29182i | 0.763414 | + | 0.645910i | \(0.223522\pi\) | ||||
−0.763414 | + | 0.645910i | \(0.776478\pi\) | |||||||
\(140\) | −9.48580e6 | − | 6.80706e6i | −0.0246923 | − | 0.0177193i | ||||
\(141\) | −2.39055e8 | −0.604814 | ||||||||
\(142\) | −2.00100e8 | + | 3.46584e8i | −0.492147 | + | 0.852423i | ||||
\(143\) | −3.25752e8 | + | 1.88073e8i | −0.779010 | + | 0.449762i | ||||
\(144\) | 3.64387e7 | + | 6.31136e7i | 0.0847447 | + | 0.146782i | ||||
\(145\) | −2.14865e7 | − | 1.24052e7i | −0.0486063 | − | 0.0280629i | ||||
\(146\) | − | 4.53055e8i | − | 0.997101i | ||||||
\(147\) | 4.54228e8 | + | 3.99426e8i | 0.972757 | + | 0.855395i | ||||
\(148\) | −7.31491e7 | −0.152462 | ||||||||
\(149\) | −3.15004e8 | + | 5.45603e8i | −0.639103 | + | 1.10696i | 0.346527 | + | 0.938040i | \(0.387361\pi\) |
−0.985630 | + | 0.168919i | \(0.945972\pi\) | |||||||
\(150\) | −4.00095e8 | + | 2.30995e8i | −0.790312 | + | 0.456287i | ||||
\(151\) | 6.62706e7 | + | 1.14784e8i | 0.127471 | + | 0.220787i | 0.922696 | − | 0.385528i | \(-0.125981\pi\) |
−0.795225 | + | 0.606315i | \(0.792647\pi\) | |||||||
\(152\) | 2.43501e7 | + | 1.40586e7i | 0.0456170 | + | 0.0263370i | ||||
\(153\) | 5.98926e8i | 1.09297i | ||||||||
\(154\) | 2.46937e8 | − | 3.44113e8i | 0.439040 | − | 0.611813i | ||||
\(155\) | 2.24566e7 | 0.0389060 | ||||||||
\(156\) | 1.61997e8 | − | 2.80587e8i | 0.273533 | − | 0.473772i | ||||
\(157\) | 7.84287e8 | − | 4.52809e8i | 1.29085 | − | 0.745274i | 0.312047 | − | 0.950067i | \(-0.398985\pi\) |
0.978805 | + | 0.204793i | \(0.0656520\pi\) | |||||||
\(158\) | 2.04884e8 | + | 3.54870e8i | 0.328761 | + | 0.569430i | ||||
\(159\) | 3.57825e7 | + | 2.06591e7i | 0.0559864 | + | 0.0323238i | ||||
\(160\) | − | 7.04201e6i | − | 0.0107453i | ||||||
\(161\) | −3.82576e8 | − | 8.45870e8i | −0.569395 | − | 1.25893i | ||||
\(162\) | −5.93349e8 | −0.861490 | ||||||||
\(163\) | −1.61604e8 | + | 2.79906e8i | −0.228929 | + | 0.396517i | −0.957491 | − | 0.288463i | \(-0.906856\pi\) |
0.728562 | + | 0.684980i | \(0.240189\pi\) | |||||||
\(164\) | 5.39606e8 | − | 3.11542e8i | 0.745936 | − | 0.430666i | ||||
\(165\) | 3.10758e7 | + | 5.38248e7i | 0.0419263 | + | 0.0726184i | ||||
\(166\) | 2.31068e8 | + | 1.33407e8i | 0.304304 | + | 0.175690i | ||||
\(167\) | − | 6.81174e8i | − | 0.875775i | −0.899030 | − | 0.437887i | \(-0.855727\pi\) | ||
0.899030 | − | 0.437887i | \(-0.144273\pi\) | |||||||
\(168\) | −3.60023e7 | + | 3.63043e8i | −0.0451953 | + | 0.455743i | ||||
\(169\) | 2.33756e8 | 0.286560 | ||||||||
\(170\) | 2.89366e7 | − | 5.01197e7i | 0.0346459 | − | 0.0600085i | ||||
\(171\) | 7.47927e7 | − | 4.31816e7i | 0.0874731 | − | 0.0505026i | ||||
\(172\) | 3.56372e8 | + | 6.17254e8i | 0.407183 | + | 0.705262i | ||||
\(173\) | −9.29478e8 | − | 5.36635e8i | −1.03766 | − | 0.599093i | −0.118490 | − | 0.992955i | \(-0.537805\pi\) |
−0.919169 | + | 0.393862i | \(0.871139\pi\) | |||||||
\(174\) | 7.75252e8i | 0.845757i | ||||||||
\(175\) | −9.29864e8 | − | 9.22131e7i | −0.991442 | − | 0.0983196i | ||||
\(176\) | 2.55461e8 | 0.266240 | ||||||||
\(177\) | 7.12108e8 | − | 1.23341e9i | 0.725526 | − | 1.25665i | ||||
\(178\) | −3.44720e8 | + | 1.99024e8i | −0.343389 | + | 0.198256i | ||||
\(179\) | −2.23487e8 | − | 3.87091e8i | −0.217691 | − | 0.377052i | 0.736411 | − | 0.676535i | \(-0.236519\pi\) |
−0.954102 | + | 0.299483i | \(0.903186\pi\) | |||||||
\(180\) | −1.87320e7 | − | 1.08149e7i | −0.0178441 | − | 0.0103023i | ||||
\(181\) | − | 4.47562e8i | − | 0.417003i | −0.978022 | − | 0.208502i | \(-0.933141\pi\) | ||
0.978022 | − | 0.208502i | \(-0.0668586\pi\) | |||||||
\(182\) | 5.97083e8 | − | 2.70052e8i | 0.544188 | − | 0.246129i | ||||
\(183\) | −8.15074e8 | −0.726763 | ||||||||
\(184\) | 2.79970e8 | − | 4.84922e8i | 0.244253 | − | 0.423059i | ||||
\(185\) | 1.88019e7 | − | 1.08553e7i | 0.0160515 | − | 0.00926732i | ||||
\(186\) | −3.50850e8 | − | 6.07690e8i | −0.293137 | − | 0.507727i | ||||
\(187\) | 1.81818e9 | + | 1.04972e9i | 1.48686 | + | 0.858438i | ||||
\(188\) | − | 2.91630e8i | − | 0.233454i | ||||||
\(189\) | −4.32465e8 | − | 3.10339e8i | −0.338925 | − | 0.243214i | ||||
\(190\) | −8.34512e6 | −0.00640351 | ||||||||
\(191\) | −3.93238e7 | + | 6.81108e7i | −0.0295476 | + | 0.0511779i | −0.880421 | − | 0.474193i | \(-0.842740\pi\) |
0.850873 | + | 0.525371i | \(0.176073\pi\) | |||||||
\(192\) | −1.90562e8 | + | 1.10021e8i | −0.140227 | + | 0.0809600i | ||||
\(193\) | 6.90455e8 | + | 1.19590e9i | 0.497629 | + | 0.861919i | 0.999996 | − | 0.00273540i | \(-0.000870706\pi\) |
−0.502367 | + | 0.864654i | \(0.667537\pi\) | |||||||
\(194\) | 4.32137e8 | + | 2.49494e8i | 0.305081 | + | 0.176138i | ||||
\(195\) | 9.61611e7i | 0.0665060i | ||||||||
\(196\) | −4.87271e8 | + | 5.54126e8i | −0.330177 | + | 0.375478i | ||||
\(197\) | −7.84102e8 | −0.520604 | −0.260302 | − | 0.965527i | \(-0.583822\pi\) | ||||
−0.260302 | + | 0.965527i | \(0.583822\pi\) | |||||||
\(198\) | 3.92330e8 | − | 6.79536e8i | 0.255265 | − | 0.442132i | ||||
\(199\) | −1.96768e9 | + | 1.13604e9i | −1.25471 | + | 0.724404i | −0.972040 | − | 0.234814i | \(-0.924552\pi\) |
−0.282665 | + | 0.959219i | \(0.591218\pi\) | |||||||
\(200\) | −2.81798e8 | − | 4.88088e8i | −0.176124 | − | 0.305055i | ||||
\(201\) | 3.22551e9 | + | 1.86225e9i | 1.97613 | + | 1.14092i | ||||
\(202\) | 1.35620e9i | 0.814552i | ||||||||
\(203\) | −9.14197e8 | + | 1.27396e9i | −0.538339 | + | 0.750188i | ||||
\(204\) | −1.80837e9 | −1.04416 | ||||||||
\(205\) | −9.24652e7 | + | 1.60154e8i | −0.0523556 | + | 0.0906825i | ||||
\(206\) | 2.02593e8 | − | 1.16967e8i | 0.112501 | − | 0.0649525i | ||||
\(207\) | −8.59941e8 | − | 1.48946e9i | −0.468368 | − | 0.811237i | ||||
\(208\) | 3.42297e8 | + | 1.97625e8i | 0.182873 | + | 0.105582i | ||||
\(209\) | − | 3.02733e8i | − | 0.158663i | ||||||
\(210\) | −4.46214e7 | − | 9.86574e7i | −0.0229438 | − | 0.0507286i | ||||
\(211\) | 2.97735e9 | 1.50210 | 0.751051 | − | 0.660244i | \(-0.229547\pi\) | ||||
0.751051 | + | 0.660244i | \(0.229547\pi\) | |||||||
\(212\) | −2.52026e7 | + | 4.36522e7i | −0.0124768 | + | 0.0216104i | ||||
\(213\) | −3.21425e9 | + | 1.85575e9i | −1.56157 | + | 0.901571i | ||||
\(214\) | −7.69220e8 | − | 1.33233e9i | −0.366771 | − | 0.635267i | ||||
\(215\) | −1.83200e8 | − | 1.05771e8i | −0.0857378 | − | 0.0495007i | ||||
\(216\) | − | 3.21051e8i | − | 0.147489i | ||||||
\(217\) | 1.40059e8 | − | 1.41234e9i | 0.0631644 | − | 0.636941i | ||||
\(218\) | 6.49555e8 | 0.287601 | ||||||||
\(219\) | 2.10083e9 | − | 3.63875e9i | 0.913303 | − | 1.58189i | ||||
\(220\) | −6.56624e7 | + | 3.79102e7i | −0.0280302 | + | 0.0161832i | ||||
\(221\) | 1.62414e9 | + | 2.81309e9i | 0.680853 | + | 1.17927i | ||||
\(222\) | −5.87503e8 | − | 3.39195e8i | −0.241879 | − | 0.139649i | ||||
\(223\) | − | 1.46122e9i | − | 0.590877i | −0.955362 | − | 0.295439i | \(-0.904534\pi\) | ||
0.955362 | − | 0.295439i | \(-0.0954658\pi\) | |||||||
\(224\) | −4.42886e8 | − | 4.39203e7i | −0.175914 | − | 0.0174451i | ||||
\(225\) | −1.73111e9 | −0.675452 | ||||||||
\(226\) | 3.55580e8 | − | 6.15882e8i | 0.136302 | − | 0.236083i | ||||
\(227\) | 6.79977e8 | − | 3.92585e8i | 0.256089 | − | 0.147853i | −0.366460 | − | 0.930434i | \(-0.619430\pi\) |
0.622549 | + | 0.782581i | \(0.286097\pi\) | |||||||
\(228\) | 1.30380e8 | + | 2.25825e8i | 0.0482472 | + | 0.0835666i | ||||
\(229\) | −1.84873e9 | − | 1.06736e9i | −0.672250 | − | 0.388124i | 0.124678 | − | 0.992197i | \(-0.460210\pi\) |
−0.796929 | + | 0.604073i | \(0.793543\pi\) | |||||||
\(230\) | 1.66189e8i | 0.0593871i | ||||||||
\(231\) | 3.57896e9 | − | 1.61872e9i | 1.25693 | − | 0.568490i | ||||
\(232\) | −9.45752e8 | −0.326457 | ||||||||
\(233\) | −4.40863e8 | + | 7.63598e8i | −0.149582 | + | 0.259084i | −0.931073 | − | 0.364833i | \(-0.881126\pi\) |
0.781491 | + | 0.623917i | \(0.214460\pi\) | |||||||
\(234\) | 1.05138e9 | − | 6.07015e8i | 0.350668 | − | 0.202458i | ||||
\(235\) | 4.32777e7 | + | 7.49592e7i | 0.0141903 | + | 0.0245784i | ||||
\(236\) | 1.50467e9 | + | 8.68721e8i | 0.485057 | + | 0.280048i | ||||
\(237\) | 3.80022e9i | 1.20452i | ||||||||
\(238\) | −2.97165e9 | − | 2.13247e9i | −0.926168 | − | 0.664623i | ||||
\(239\) | 1.10042e9 | 0.337261 | 0.168631 | − | 0.985679i | \(-0.446065\pi\) | ||||
0.168631 | + | 0.985679i | \(0.446065\pi\) | |||||||
\(240\) | 3.26541e7 | − | 5.65585e7i | 0.00984220 | − | 0.0170472i | ||||
\(241\) | 1.27360e9 | − | 7.35312e8i | 0.377541 | − | 0.217973i | −0.299207 | − | 0.954188i | \(-0.596722\pi\) |
0.676748 | + | 0.736215i | \(0.263389\pi\) | |||||||
\(242\) | −1.62660e8 | − | 2.81736e8i | −0.0474264 | − | 0.0821449i | ||||
\(243\) | −3.50586e9 | − | 2.02411e9i | −1.00547 | − | 0.580508i | ||||
\(244\) | − | 9.94332e8i | − | 0.280525i | ||||||
\(245\) | 4.30139e7 | − | 2.14740e8i | 0.0119384 | − | 0.0596005i | ||||
\(246\) | 5.77852e9 | 1.57789 | ||||||||
\(247\) | 2.34195e8 | − | 4.05638e8i | 0.0629202 | − | 0.108981i | ||||
\(248\) | 7.41339e8 | − | 4.28012e8i | 0.195979 | − | 0.113149i | ||||
\(249\) | 1.23723e9 | + | 2.14294e9i | 0.321849 | + | 0.557459i | ||||
\(250\) | 2.90265e8 | + | 1.67584e8i | 0.0743078 | + | 0.0429016i | ||||
\(251\) | − | 9.90977e8i | − | 0.249671i | −0.992177 | − | 0.124836i | \(-0.960160\pi\) | ||
0.992177 | − | 0.124836i | \(-0.0398403\pi\) | |||||||
\(252\) | −7.97003e8 | + | 1.11064e9i | −0.197632 | + | 0.275405i | ||||
\(253\) | −6.02880e9 | −1.47146 | ||||||||
\(254\) | −2.85849e9 | + | 4.95106e9i | −0.686756 | + | 1.18950i | ||||
\(255\) | 4.64813e8 | − | 2.68360e8i | 0.109930 | − | 0.0634684i | ||||
\(256\) | −1.34218e8 | − | 2.32472e8i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −7.82513e8 | − | 4.51784e8i | −0.179374 | − | 0.103562i | 0.407625 | − | 0.913150i | \(-0.366357\pi\) |
−0.586998 | + | 0.809588i | \(0.699691\pi\) | |||||||
\(258\) | 6.61004e9i | 1.49185i | ||||||||
\(259\) | −5.65444e8 | − | 1.25019e9i | −0.125658 | − | 0.277829i | ||||
\(260\) | −1.17310e8 | −0.0256709 | ||||||||
\(261\) | −1.45246e9 | + | 2.51574e9i | −0.312999 | + | 0.542130i | ||||
\(262\) | 1.69714e9 | − | 9.79843e8i | 0.360174 | − | 0.207946i | ||||
\(263\) | 8.16204e8 | + | 1.41371e9i | 0.170599 | + | 0.295486i | 0.938629 | − | 0.344927i | \(-0.112096\pi\) |
−0.768031 | + | 0.640413i | \(0.778763\pi\) | |||||||
\(264\) | 2.05176e9 | + | 1.18458e9i | 0.422386 | + | 0.243865i | ||||
\(265\) | − | 1.49602e7i | − | 0.00303357i | ||||||
\(266\) | −5.20476e7 | + | 5.24841e8i | −0.0103962 | + | 0.104834i | ||||
\(267\) | −3.69153e9 | −0.726375 | ||||||||
\(268\) | −2.27181e9 | + | 3.93490e9i | −0.440386 | + | 0.762771i | ||||
\(269\) | −1.01166e9 | + | 5.84080e8i | −0.193207 | + | 0.111548i | −0.593483 | − | 0.804846i | \(-0.702248\pi\) |
0.400276 | + | 0.916395i | \(0.368914\pi\) | |||||||
\(270\) | 4.76437e7 | + | 8.25214e7i | 0.00896501 | + | 0.0155279i | ||||
\(271\) | −3.72419e9 | − | 2.15016e9i | −0.690486 | − | 0.398652i | 0.113308 | − | 0.993560i | \(-0.463855\pi\) |
−0.803794 | + | 0.594908i | \(0.797189\pi\) | |||||||
\(272\) | − | 2.20608e9i | − | 0.403037i | ||||||
\(273\) | 6.04776e9 | + | 5.99746e8i | 1.08879 | + | 0.107973i | ||||
\(274\) | 1.96067e9 | 0.347859 | ||||||||
\(275\) | −3.03408e9 | + | 5.25518e9i | −0.530513 | + | 0.918876i | ||||
\(276\) | 4.49720e9 | − | 2.59646e9i | 0.775008 | − | 0.447451i | ||||
\(277\) | −3.71563e9 | − | 6.43567e9i | −0.631123 | − | 1.09314i | −0.987323 | − | 0.158727i | \(-0.949261\pi\) |
0.356200 | − | 0.934410i | \(-0.384072\pi\) | |||||||
\(278\) | −4.72494e9 | − | 2.72795e9i | −0.791075 | − | 0.456727i | ||||
\(279\) | − | 2.62932e9i | − | 0.433937i | ||||||
\(280\) | 1.20355e8 | − | 5.44349e7i | 0.0195809 | − | 0.00885616i | ||||
\(281\) | 1.14202e10 | 1.83168 | 0.915838 | − | 0.401548i | \(-0.131528\pi\) | ||||
0.915838 | + | 0.401548i | \(0.131528\pi\) | |||||||
\(282\) | 1.35230e9 | − | 2.34225e9i | 0.213834 | − | 0.370371i | ||||
\(283\) | 1.79244e9 | − | 1.03486e9i | 0.279446 | − | 0.161338i | −0.353727 | − | 0.935349i | \(-0.615086\pi\) |
0.633173 | + | 0.774011i | \(0.281752\pi\) | |||||||
\(284\) | −2.26388e9 | − | 3.92115e9i | −0.348000 | − | 0.602754i | ||||
\(285\) | −6.70246e7 | − | 3.86966e7i | −0.0101591 | − | 0.00586535i | ||||
\(286\) | − | 4.25561e9i | − | 0.636059i | ||||||
\(287\) | 9.49573e9 | + | 6.81418e9i | 1.39959 | + | 1.00435i | ||||
\(288\) | −8.24513e8 | −0.119847 | ||||||||
\(289\) | 5.57720e9 | − | 9.65999e9i | 0.799511 | − | 1.38479i | ||||
\(290\) | 2.43092e8 | − | 1.40349e8i | 0.0343699 | − | 0.0198435i | ||||
\(291\) | 2.31383e9 | + | 4.00767e9i | 0.322671 | + | 0.558882i | ||||
\(292\) | 4.43901e9 | + | 2.56286e9i | 0.610597 | + | 0.352529i | ||||
\(293\) | − | 7.61645e9i | − | 1.03343i | −0.856157 | − | 0.516716i | \(-0.827154\pi\) | ||
0.856157 | − | 0.516716i | \(-0.172846\pi\) | |||||||
\(294\) | −6.48306e9 | + | 2.19101e9i | −0.867742 | + | 0.293262i | ||||
\(295\) | −5.15670e8 | −0.0680901 | ||||||||
\(296\) | 4.13794e8 | − | 7.16712e8i | 0.0539035 | − | 0.0933636i | ||||
\(297\) | −2.99360e9 | + | 1.72836e9i | −0.384741 | + | 0.222130i | ||||
\(298\) | −3.56386e9 | − | 6.17279e9i | −0.451914 | − | 0.782738i | ||||
\(299\) | −8.07810e9 | − | 4.66389e9i | −1.01070 | − | 0.583531i | ||||
\(300\) | − | 5.22682e9i | − | 0.645287i | ||||||
\(301\) | −7.79473e9 | + | 1.08621e10i | −0.949588 | + | 1.32327i | ||||
\(302\) | −1.49953e9 | −0.180272 | ||||||||
\(303\) | −6.28876e9 | + | 1.08924e10i | −0.746095 | + | 1.29227i | ||||
\(304\) | −2.75490e8 | + | 1.59054e8i | −0.0322561 | + | 0.0186231i | ||||
\(305\) | 1.47558e8 | + | 2.55578e8i | 0.0170516 | + | 0.0295342i | ||||
\(306\) | −5.86825e9 | − | 3.38804e9i | −0.669303 | − | 0.386422i | ||||
\(307\) | − | 1.33086e9i | − | 0.149823i | −0.997190 | − | 0.0749113i | \(-0.976133\pi\) | ||
0.997190 | − | 0.0749113i | \(-0.0238674\pi\) | |||||||
\(308\) | 1.97472e9 | + | 4.36608e9i | 0.219433 | + | 0.485164i | ||||
\(309\) | 2.16953e9 | 0.237975 | ||||||||
\(310\) | −1.27033e8 | + | 2.20028e8i | −0.0137553 | + | 0.0238250i | ||||
\(311\) | 5.28874e9 | − | 3.05346e9i | 0.565342 | − | 0.326400i | −0.189945 | − | 0.981795i | \(-0.560831\pi\) |
0.755287 | + | 0.655395i | \(0.227498\pi\) | |||||||
\(312\) | 1.83279e9 | + | 3.17448e9i | 0.193417 | + | 0.335008i | ||||
\(313\) | 7.85096e9 | + | 4.53276e9i | 0.817986 | + | 0.472264i | 0.849721 | − | 0.527232i | \(-0.176770\pi\) |
−0.0317357 | + | 0.999496i | \(0.510103\pi\) | |||||||
\(314\) | 1.02459e10i | 1.05398i | ||||||||
\(315\) | 4.00391e7 | − | 4.03749e8i | 0.00406670 | − | 0.0410081i | ||||
\(316\) | −4.63600e9 | −0.464938 | ||||||||
\(317\) | 1.26312e9 | − | 2.18778e9i | 0.125085 | − | 0.216654i | −0.796681 | − | 0.604400i | \(-0.793413\pi\) |
0.921766 | + | 0.387746i | \(0.126746\pi\) | |||||||
\(318\) | −4.04833e8 | + | 2.33731e8i | −0.0395884 | + | 0.0228564i | ||||
\(319\) | 5.09140e9 | + | 8.81856e9i | 0.491670 | + | 0.851598i | ||||
\(320\) | 6.89974e7 | + | 3.98356e7i | 0.00658010 | + | 0.00379902i | ||||
\(321\) | − | 1.42676e10i | − | 1.34379i | ||||||
\(322\) | 1.04520e10 | + | 1.03650e9i | 0.972243 | + | 0.0964157i | ||||
\(323\) | −2.61431e9 | −0.240185 | ||||||||
\(324\) | 3.35649e9 | − | 5.81361e9i | 0.304583 | − | 0.527553i | ||||
\(325\) | −8.13083e9 | + | 4.69434e9i | −0.728789 | + | 0.420766i | ||||
\(326\) | −1.82834e9 | − | 3.16677e9i | −0.161877 | − | 0.280380i | ||||
\(327\) | 5.21696e9 | + | 3.01201e9i | 0.456275 | + | 0.263430i | ||||
\(328\) | 7.04939e9i | 0.609054i | ||||||||
\(329\) | 4.98425e9 | − | 2.25431e9i | 0.425419 | − | 0.192411i | ||||
\(330\) | −7.03164e8 | −0.0592927 | ||||||||
\(331\) | −8.14718e9 | + | 1.41113e10i | −0.678727 | + | 1.17559i | 0.296637 | + | 0.954990i | \(0.404135\pi\) |
−0.975364 | + | 0.220600i | \(0.929198\pi\) | |||||||
\(332\) | −2.61424e9 | + | 1.50933e9i | −0.215175 | + | 0.124232i | ||||
\(333\) | −1.27099e9 | − | 2.20142e9i | −0.103363 | − | 0.179030i | ||||
\(334\) | 6.67412e9 | + | 3.85330e9i | 0.536300 | + | 0.309633i | ||||
\(335\) | − | 1.34854e9i | − | 0.107074i | ||||||
\(336\) | −3.35342e9 | − | 2.40643e9i | −0.263106 | − | 0.188806i | ||||
\(337\) | 1.18418e9 | 0.0918117 | 0.0459059 | − | 0.998946i | \(-0.485383\pi\) | ||||
0.0459059 | + | 0.998946i | \(0.485383\pi\) | |||||||
\(338\) | −1.32232e9 | + | 2.29033e9i | −0.101314 | + | 0.175482i | ||||
\(339\) | 5.71174e9 | − | 3.29767e9i | 0.432483 | − | 0.249694i | ||||
\(340\) | 3.27380e8 | + | 5.67039e8i | 0.0244984 | + | 0.0424324i | ||||
\(341\) | −7.98190e9 | − | 4.60835e9i | −0.590322 | − | 0.340823i | ||||
\(342\) | 9.77087e8i | 0.0714215i | ||||||||
\(343\) | −1.32372e10 | − | 4.04454e9i | −0.956355 | − | 0.292209i | ||||
\(344\) | −8.06378e9 | −0.575844 | ||||||||
\(345\) | −7.70626e8 | + | 1.33476e9i | −0.0543960 | + | 0.0942167i | ||||
\(346\) | 1.05158e10 | − | 6.07133e9i | 0.733736 | − | 0.423623i | ||||
\(347\) | −1.03474e9 | − | 1.79223e9i | −0.0713698 | − | 0.123616i | 0.828132 | − | 0.560533i | \(-0.189404\pi\) |
−0.899502 | + | 0.436917i | \(0.856070\pi\) | |||||||
\(348\) | −7.59589e9 | − | 4.38549e9i | −0.517919 | − | 0.299020i | ||||
\(349\) | 1.96039e10i | 1.32142i | 0.750641 | + | 0.660711i | \(0.229745\pi\) | ||||
−0.750641 | + | 0.660711i | \(0.770255\pi\) | |||||||
\(350\) | 6.16361e9 | − | 8.58914e9i | 0.410736 | − | 0.572371i | ||||
\(351\) | −5.34824e9 | −0.352357 | ||||||||
\(352\) | −1.44510e9 | + | 2.50300e9i | −0.0941301 | + | 0.163038i | ||||
\(353\) | 6.15795e9 | − | 3.55529e9i | 0.396586 | − | 0.228969i | −0.288424 | − | 0.957503i | \(-0.593131\pi\) |
0.685010 | + | 0.728534i | \(0.259798\pi\) | |||||||
\(354\) | 8.05658e9 | + | 1.39544e10i | 0.513024 | + | 0.888584i | ||||
\(355\) | 1.16379e9 | + | 6.71916e8i | 0.0732760 | + | 0.0423059i | ||||
\(356\) | − | 4.50340e9i | − | 0.280376i | ||||||
\(357\) | −1.39787e10 | − | 3.09068e10i | −0.860586 | − | 1.90275i | ||||
\(358\) | 5.05694e9 | 0.307862 | ||||||||
\(359\) | 7.73192e9 | − | 1.33921e10i | 0.465489 | − | 0.806251i | −0.533734 | − | 0.845652i | \(-0.679212\pi\) |
0.999223 | + | 0.0394013i | \(0.0125451\pi\) | |||||||
\(360\) | 2.11929e8 | − | 1.22357e8i | 0.0126177 | − | 0.00728483i | ||||
\(361\) | −8.30329e9 | − | 1.43817e10i | −0.488902 | − | 0.846803i | ||||
\(362\) | 4.38520e9 | + | 2.53180e9i | 0.255361 | + | 0.147433i | ||||
\(363\) | − | 3.01705e9i | − | 0.173762i | ||||||
\(364\) | −7.31648e8 | + | 7.37784e9i | −0.0416770 | + | 0.420265i | ||||
\(365\) | −1.52131e9 | −0.0857129 | ||||||||
\(366\) | 4.61075e9 | − | 7.98606e9i | 0.256949 | − | 0.445049i | ||||
\(367\) | 2.07751e10 | − | 1.19945e10i | 1.14520 | − | 0.661179i | 0.197483 | − | 0.980306i | \(-0.436723\pi\) |
0.947712 | + | 0.319127i | \(0.103390\pi\) | |||||||
\(368\) | 3.16750e9 | + | 5.48627e9i | 0.172713 | + | 0.299148i | ||||
\(369\) | 1.87516e10 | + | 1.08263e10i | 1.01143 | + | 0.583947i | ||||
\(370\) | 2.45627e8i | 0.0131060i | ||||||||
\(371\) | −9.40876e8 | − | 9.33051e7i | −0.0496634 | − | 0.00492504i | ||||
\(372\) | 7.93884e9 | 0.414558 | ||||||||
\(373\) | 1.85295e10 | − | 3.20940e10i | 0.957256 | − | 1.65802i | 0.228138 | − | 0.973629i | \(-0.426736\pi\) |
0.729118 | − | 0.684387i | \(-0.239930\pi\) | |||||||
\(374\) | −2.05703e10 | + | 1.18763e10i | −1.05137 | + | 0.607007i | ||||
\(375\) | 1.55419e9 | + | 2.69194e9i | 0.0785922 | + | 0.136126i | ||||
\(376\) | 2.85738e9 | + | 1.64971e9i | 0.142961 | + | 0.0825384i | ||||
\(377\) | 1.57549e10i | 0.779918i | ||||||||
\(378\) | 5.48708e9 | − | 2.48173e9i | 0.268766 | − | 0.121559i | ||||
\(379\) | 4.14946e9 | 0.201111 | 0.100555 | − | 0.994931i | \(-0.467938\pi\) | ||||
0.100555 | + | 0.994931i | \(0.467938\pi\) | |||||||
\(380\) | 4.72071e7 | − | 8.17652e7i | 0.00226398 | − | 0.00392134i | ||||
\(381\) | −4.59165e10 | + | 2.65099e10i | −2.17906 | + | 1.25808i | ||||
\(382\) | −4.44898e8 | − | 7.70586e8i | −0.0208933 | − | 0.0361883i | ||||
\(383\) | −1.82471e10 | − | 1.05350e10i | −0.848007 | − | 0.489597i | 0.0119707 | − | 0.999928i | \(-0.496190\pi\) |
−0.859978 | + | 0.510331i | \(0.829523\pi\) | |||||||
\(384\) | − | 2.48949e9i | − | 0.114495i | ||||||
\(385\) | −1.15550e9 | − | 8.29190e8i | −0.0525927 | − | 0.0377408i | ||||
\(386\) | −1.56232e10 | −0.703754 | ||||||||
\(387\) | −1.23841e10 | + | 2.14500e10i | −0.552106 | + | 0.956275i | ||||
\(388\) | −4.88907e9 | + | 2.82271e9i | −0.215725 | + | 0.124549i | ||||
\(389\) | 8.84656e9 | + | 1.53227e10i | 0.386346 | + | 0.669170i | 0.991955 | − | 0.126592i | \(-0.0404039\pi\) |
−0.605609 | + | 0.795762i | \(0.707071\pi\) | |||||||
\(390\) | −9.42182e8 | − | 5.43969e8i | −0.0407264 | − | 0.0235134i | ||||
\(391\) | 5.20627e10i | 2.22751i | ||||||||
\(392\) | −2.67288e9 | − | 7.90887e9i | −0.113197 | − | 0.334942i | ||||
\(393\) | 1.81743e10 | 0.761881 | ||||||||
\(394\) | 4.43555e9 | − | 7.68260e9i | 0.184061 | − | 0.318804i | ||||
\(395\) | 1.19161e9 | − | 6.87979e8i | 0.0489494 | − | 0.0282609i | ||||
\(396\) | 4.43871e9 | + | 7.68807e9i | 0.180500 | + | 0.312634i | ||||
\(397\) | 3.14727e10 | + | 1.81708e10i | 1.26699 | + | 0.731494i | 0.974416 | − | 0.224750i | \(-0.0721566\pi\) |
0.292569 | + | 0.956244i | \(0.405490\pi\) | |||||||
\(398\) | − | 2.57056e10i | − | 1.02446i | ||||||
\(399\) | −2.85173e9 | + | 3.97396e9i | −0.112517 | + | 0.156795i | ||||
\(400\) | 6.37635e9 | 0.249076 | ||||||||
\(401\) | 6.68116e9 | − | 1.15721e10i | 0.258389 | − | 0.447543i | −0.707421 | − | 0.706792i | \(-0.750142\pi\) |
0.965811 | + | 0.259249i | \(0.0834750\pi\) | |||||||
\(402\) | −3.64925e10 | + | 2.10690e10i | −1.39733 | + | 0.806750i | ||||
\(403\) | −7.13006e9 | − | 1.23496e10i | −0.270317 | − | 0.468203i | ||||
\(404\) | −1.32880e10 | − | 7.67184e9i | −0.498809 | − | 0.287988i | ||||
\(405\) | 1.99240e9i | 0.0740555i | ||||||||
\(406\) | −7.31069e9 | − | 1.61638e10i | −0.269063 | − | 0.594895i | ||||
\(407\) | −8.91053e9 | −0.324733 | ||||||||
\(408\) | 1.02297e10 | − | 1.77183e10i | 0.369165 | − | 0.639413i | ||||
\(409\) | −8.72089e8 | + | 5.03501e8i | −0.0311650 | + | 0.0179931i | −0.515502 | − | 0.856889i | \(-0.672394\pi\) |
0.484337 | + | 0.874882i | \(0.339061\pi\) | |||||||
\(410\) | −1.04612e9 | − | 1.81194e9i | −0.0370210 | − | 0.0641222i | ||||
\(411\) | 1.57473e10 | + | 9.09172e9i | 0.551873 | + | 0.318624i | ||||
\(412\) | 2.64667e9i | 0.0918567i | ||||||||
\(413\) | −3.21618e9 | + | 3.24315e10i | −0.110545 | + | 1.11472i | ||||
\(414\) | 1.94582e10 | 0.662373 | ||||||||
\(415\) | 4.47967e8 | − | 7.75902e8i | 0.0151027 | − | 0.0261586i | ||||
\(416\) | −3.87264e9 | + | 2.23587e9i | −0.129311 | + | 0.0746575i | ||||
\(417\) | −2.52992e10 | − | 4.38195e10i | −0.836685 | − | 1.44918i | ||||
\(418\) | 2.96617e9 | + | 1.71252e9i | 0.0971608 | + | 0.0560958i | ||||
\(419\) | − | 1.91618e10i | − | 0.621698i | −0.950459 | − | 0.310849i | \(-0.899387\pi\) | ||
0.950459 | − | 0.310849i | \(-0.100613\pi\) | |||||||
\(420\) | 1.21906e9 | + | 1.20892e8i | 0.0391766 | + | 0.00388508i | ||||
\(421\) | −1.60486e10 | −0.510868 | −0.255434 | − | 0.966827i | \(-0.582218\pi\) | ||||
−0.255434 | + | 0.966827i | \(0.582218\pi\) | |||||||
\(422\) | −1.68424e10 | + | 2.91719e10i | −0.531073 | + | 0.919846i | ||||
\(423\) | 8.77659e9 | − | 5.06716e9i | 0.274135 | − | 0.158272i | ||||
\(424\) | −2.85135e8 | − | 4.93868e8i | −0.00882240 | − | 0.0152808i | ||||
\(425\) | 4.53820e10 | + | 2.62013e10i | 1.39100 | + | 0.803096i | ||||
\(426\) | − | 4.19907e10i | − | 1.27501i | ||||||
\(427\) | 1.69941e10 | − | 7.68621e9i | 0.511196 | − | 0.231207i | ||||
\(428\) | 1.74055e10 | 0.518693 | ||||||||
\(429\) | 1.97334e10 | − | 3.41793e10i | 0.582603 | − | 1.00910i | ||||
\(430\) | 2.07267e9 | − | 1.19666e9i | 0.0606258 | − | 0.0350023i | ||||
\(431\) | −1.19542e10 | − | 2.07053e10i | −0.346428 | − | 0.600030i | 0.639184 | − | 0.769054i | \(-0.279272\pi\) |
−0.985612 | + | 0.169023i | \(0.945939\pi\) | |||||||
\(432\) | 3.14564e9 | + | 1.81614e9i | 0.0903180 | + | 0.0521451i | ||||
\(433\) | 2.55466e10i | 0.726745i | 0.931644 | + | 0.363372i | \(0.118375\pi\) | ||||
−0.931644 | + | 0.363372i | \(0.881625\pi\) | |||||||
\(434\) | 1.30457e10 | + | 9.36168e9i | 0.367713 | + | 0.263873i | ||||
\(435\) | 2.60321e9 | 0.0727031 | ||||||||
\(436\) | −3.67444e9 | + | 6.36432e9i | −0.101682 | + | 0.176119i | ||||
\(437\) | 6.50149e9 | − | 3.75364e9i | 0.178274 | − | 0.102926i | ||||
\(438\) | 2.37682e10 | + | 4.11677e10i | 0.645803 | + | 1.11856i | ||||
\(439\) | −4.07100e10 | − | 2.35039e10i | −1.09608 | − | 0.632823i | −0.160892 | − | 0.986972i | \(-0.551437\pi\) |
−0.935189 | + | 0.354149i | \(0.884770\pi\) | |||||||
\(440\) | − | 8.57810e8i | − | 0.0228866i | ||||||
\(441\) | −2.51428e10 | − | 5.03628e9i | −0.664753 | − | 0.133154i | ||||
\(442\) | −3.67500e10 | −0.962872 | ||||||||
\(443\) | 1.48925e10 | − | 2.57945e10i | 0.386681 | − | 0.669750i | −0.605320 | − | 0.795982i | \(-0.706955\pi\) |
0.992001 | + | 0.126232i | \(0.0402883\pi\) | |||||||
\(444\) | 6.64684e9 | − | 3.83755e9i | 0.171034 | − | 0.0987467i | ||||
\(445\) | 6.68301e8 | + | 1.15753e9i | 0.0170425 | + | 0.0295184i | ||||
\(446\) | 1.43170e10 | + | 8.26593e9i | 0.361837 | + | 0.208907i | ||||
\(447\) | − | 6.61030e10i | − | 1.65574i | ||||||
\(448\) | 2.93567e9 | − | 4.09093e9i | 0.0728778 | − | 0.101557i | ||||
\(449\) | −6.09266e10 | −1.49907 | −0.749535 | − | 0.661965i | \(-0.769723\pi\) | ||||
−0.749535 | + | 0.661965i | \(0.769723\pi\) | |||||||
\(450\) | 9.79264e9 | − | 1.69614e10i | 0.238809 | − | 0.413628i | ||||
\(451\) | 6.57312e10 | − | 3.79499e10i | 1.58879 | − | 0.917286i | ||||
\(452\) | 4.02292e9 | + | 6.96791e9i | 0.0963803 | + | 0.166936i | ||||
\(453\) | −1.20436e10 | − | 6.95338e9i | −0.285999 | − | 0.165121i | ||||
\(454\) | 8.88319e9i | 0.209096i | ||||||||
\(455\) | −9.06807e8 | − | 2.00494e9i | −0.0211577 | − | 0.0467795i | ||||
\(456\) | −2.95017e9 | −0.0682318 | ||||||||
\(457\) | −3.43113e10 | + | 5.94289e10i | −0.786633 | + | 1.36249i | 0.141385 | + | 0.989955i | \(0.454844\pi\) |
−0.928019 | + | 0.372534i | \(0.878489\pi\) | |||||||
\(458\) | 2.09160e10 | − | 1.20758e10i | 0.475353 | − | 0.274445i | ||||
\(459\) | 1.49255e10 | + | 2.58518e10i | 0.336263 | + | 0.582424i | ||||
\(460\) | −1.62832e9 | − | 9.40109e8i | −0.0363670 | − | 0.0209965i | ||||
\(461\) | 5.86982e10i | 1.29963i | 0.760091 | + | 0.649817i | \(0.225155\pi\) | ||||
−0.760091 | + | 0.649817i | \(0.774845\pi\) | |||||||
\(462\) | −4.38556e9 | + | 4.42234e10i | −0.0962625 | + | 0.970698i | ||||
\(463\) | 4.40726e10 | 0.959058 | 0.479529 | − | 0.877526i | \(-0.340808\pi\) | ||||
0.479529 | + | 0.877526i | \(0.340808\pi\) | |||||||
\(464\) | 5.34998e9 | − | 9.26644e9i | 0.115420 | − | 0.199913i | ||||
\(465\) | −2.04056e9 | + | 1.17812e9i | −0.0436453 | + | 0.0251986i | ||||
\(466\) | −4.98780e9 | − | 8.63912e9i | −0.105771 | − | 0.183200i | ||||
\(467\) | −3.60907e10 | − | 2.08370e10i | −0.758800 | − | 0.438094i | 0.0700645 | − | 0.997542i | \(-0.477679\pi\) |
−0.828865 | + | 0.559449i | \(0.811013\pi\) | |||||||
\(468\) | 1.37352e10i | 0.286320i | ||||||||
\(469\) | −8.48125e10 | − | 8.41071e9i | −1.75295 | − | 0.173837i | ||||
\(470\) | −9.79263e8 | −0.0200682 | ||||||||
\(471\) | −4.75106e10 | + | 8.22907e10i | −0.965398 | + | 1.67212i | ||||
\(472\) | −1.70234e10 | + | 9.82846e9i | −0.342987 | + | 0.198024i | ||||
\(473\) | 4.34108e10 | + | 7.51898e10i | 0.867268 | + | 1.50215i | ||||
\(474\) | −3.72344e10 | − | 2.14973e10i | −0.737617 | − | 0.425863i | ||||
\(475\) | − | 7.55629e9i | − | 0.148434i | ||||||
\(476\) | 3.77041e10 | − | 1.70530e10i | 0.734447 | − | 0.332180i | ||||
\(477\) | −1.75161e9 | −0.0338348 | ||||||||
\(478\) | −6.22491e9 | + | 1.07819e10i | −0.119240 | + | 0.206530i | ||||
\(479\) | 2.94123e9 | − | 1.69812e9i | 0.0558710 | − | 0.0322572i | −0.471804 | − | 0.881703i | \(-0.656397\pi\) |
0.527675 | + | 0.849446i | \(0.323064\pi\) | |||||||
\(480\) | 3.69439e8 | + | 6.39886e8i | 0.00695949 | + | 0.0120542i | ||||
\(481\) | −1.19394e10 | − | 6.89320e9i | −0.223050 | − | 0.128778i | ||||
\(482\) | 1.66382e10i | 0.308261i | ||||||||
\(483\) | 7.91396e10 | + | 5.67910e10i | 1.45414 | + | 1.04350i | ||||
\(484\) | 3.68058e9 | 0.0670710 | ||||||||
\(485\) | 8.37776e8 | − | 1.45107e9i | 0.0151412 | − | 0.0262254i | ||||
\(486\) | 3.96642e10 | − | 2.29002e10i | 0.710974 | − | 0.410481i | ||||
\(487\) | −5.44393e10 | − | 9.42917e10i | −0.967825 | − | 1.67632i | −0.701826 | − | 0.712349i | \(-0.747631\pi\) |
−0.265999 | − | 0.963973i | \(-0.585702\pi\) | |||||||
\(488\) | 9.74243e9 | + | 5.62479e9i | 0.171786 | + | 0.0991807i | ||||
\(489\) | − | 3.39122e10i | − | 0.593091i | ||||||
\(490\) | 1.86069e9 | + | 1.63620e9i | 0.0322768 | + | 0.0283827i | ||||
\(491\) | 1.75034e9 | 0.0301159 | 0.0150580 | − | 0.999887i | \(-0.495207\pi\) | ||||
0.0150580 | + | 0.999887i | \(0.495207\pi\) | |||||||
\(492\) | −3.26883e10 | + | 5.66177e10i | −0.557868 | + | 0.966256i | ||||
\(493\) | 7.61542e10 | − | 4.39676e10i | 1.28916 | − | 0.744296i | ||||
\(494\) | 2.64962e9 | + | 4.58927e9i | 0.0444913 | + | 0.0770612i | ||||
\(495\) | −2.28181e9 | − | 1.31740e9i | −0.0380066 | − | 0.0219431i | ||||
\(496\) | 9.68481e9i | 0.160016i | ||||||||
\(497\) | 4.95165e10 | − | 6.90025e10i | 0.811568 | − | 1.13094i | ||||
\(498\) | −2.79953e10 | −0.455163 | ||||||||
\(499\) | −1.78791e10 | + | 3.09675e10i | −0.288365 | + | 0.499463i | −0.973420 | − | 0.229029i | \(-0.926445\pi\) |
0.685055 | + | 0.728492i | \(0.259778\pi\) | |||||||
\(500\) | −3.28397e9 | + | 1.89600e9i | −0.0525436 | + | 0.0303360i | ||||
\(501\) | 3.57358e10 | + | 6.18963e10i | 0.567222 | + | 0.982457i | ||||
\(502\) | 9.70955e9 | + | 5.60581e9i | 0.152892 | + | 0.0882721i | ||||
\(503\) | − | 1.08232e11i | − | 1.69077i | −0.534155 | − | 0.845387i | \(-0.679370\pi\) | ||
0.534155 | − | 0.845387i | \(-0.320630\pi\) | |||||||
\(504\) | −6.37350e9 | − | 1.40917e10i | −0.0987771 | − | 0.218395i | ||||
\(505\) | 4.55398e9 | 0.0700206 | ||||||||
\(506\) | 3.41040e10 | − | 5.90699e10i | 0.520240 | − | 0.901082i | ||||
\(507\) | −2.12407e10 | + | 1.22633e10i | −0.321468 | + | 0.185599i | ||||
\(508\) | −3.23402e10 | − | 5.60148e10i | −0.485610 | − | 0.841101i | ||||
\(509\) | −2.51632e10 | − | 1.45280e10i | −0.374882 | − | 0.216438i | 0.300707 | − | 0.953717i | \(-0.402777\pi\) |
−0.675589 | + | 0.737278i | \(0.736111\pi\) | |||||||
\(510\) | 6.07230e9i | 0.0897578i | ||||||||
\(511\) | −9.48824e9 | + | 9.56782e10i | −0.139156 | + | 1.40323i | ||||
\(512\) | 3.03700e9 | 0.0441942 | ||||||||
\(513\) | 2.15221e9 | − | 3.72774e9i | 0.0310753 | − | 0.0538240i | ||||
\(514\) | 8.85313e9 | − | 5.11135e9i | 0.126836 | − | 0.0732291i | ||||
\(515\) | −3.92764e8 | − | 6.80287e8i | −0.00558345 | − | 0.00967082i | ||||
\(516\) | −6.47649e10 | − | 3.73920e10i | −0.913568 | − | 0.527449i | ||||
\(517\) | − | 3.55244e10i | − | 0.497239i | ||||||
\(518\) | 1.54480e10 | + | 1.53195e9i | 0.214562 | + | 0.0212777i | ||||
\(519\) | 1.12612e11 | 1.55208 | ||||||||
\(520\) | 6.63604e8 | − | 1.14940e9i | 0.00907602 | − | 0.0157201i | ||||
\(521\) | −1.24290e11 | + | 7.17587e10i | −1.68688 | + | 0.973920i | −0.729995 | + | 0.683453i | \(0.760477\pi\) |
−0.956885 | + | 0.290467i | \(0.906189\pi\) | |||||||
\(522\) | −1.64327e10 | − | 2.84623e10i | −0.221324 | − | 0.383344i | ||||
\(523\) | −6.16752e10 | − | 3.56082e10i | −0.824335 | − | 0.475930i | 0.0275739 | − | 0.999620i | \(-0.491222\pi\) |
−0.851909 | + | 0.523690i | \(0.824555\pi\) | |||||||
\(524\) | 2.21713e10i | 0.294081i | ||||||||
\(525\) | 8.93316e10 | − | 4.04035e10i | 1.17589 | − | 0.531841i | ||||
\(526\) | −1.84686e10 | −0.241263 | ||||||||
\(527\) | −3.97962e10 | + | 6.89291e10i | −0.515941 | + | 0.893635i | ||||
\(528\) | −2.32130e10 | + | 1.34020e10i | −0.298672 | + | 0.172438i | ||||
\(529\) | −3.55965e10 | − | 6.16549e10i | −0.454553 | − | 0.787309i | ||||
\(530\) | 1.46579e8 | + | 8.46276e7i | 0.00185767 | + | 0.00107253i | ||||
\(531\) | 6.03772e10i | 0.759442i | ||||||||
\(532\) | −4.84795e9 | − | 3.47891e9i | −0.0605217 | − | 0.0434307i | ||||
\(533\) | 1.17433e11 | 1.45506 | ||||||||
\(534\) | 2.08824e10 | − | 3.61694e10i | 0.256812 | − | 0.444812i | ||||
\(535\) | −4.47382e9 | + | 2.58296e9i | −0.0546088 | + | 0.0315284i | ||||
\(536\) | −2.57026e10 | − | 4.45183e10i | −0.311400 | − | 0.539360i | ||||
\(537\) | 4.06152e10 | + | 2.34492e10i | 0.488418 | + | 0.281988i | ||||
\(538\) | − | 1.32162e10i | − | 0.157753i | ||||||
\(539\) | −5.93561e10 | + | 6.74998e10i | −0.703250 | + | 0.799738i | ||||
\(540\) | −1.07805e9 | −0.0126784 | ||||||||
\(541\) | 4.48466e10 | − | 7.76767e10i | 0.523529 | − | 0.906779i | −0.476096 | − | 0.879393i | \(-0.657948\pi\) |
0.999625 | − | 0.0273857i | \(-0.00871823\pi\) | |||||||
\(542\) | 4.21344e10 | − | 2.43263e10i | 0.488247 | − | 0.281890i | ||||
\(543\) | 2.34801e10 | + | 4.06687e10i | 0.270085 | + | 0.467800i | ||||
\(544\) | 2.16151e10 | + | 1.24795e10i | 0.246809 | + | 0.142495i | ||||
\(545\) | − | 2.18114e9i | − | 0.0247228i | ||||||
\(546\) | −4.00876e10 | + | 5.58630e10i | −0.451065 | + | 0.628570i | ||||
\(547\) | 8.66476e10 | 0.967848 | 0.483924 | − | 0.875110i | \(-0.339211\pi\) | ||||
0.483924 | + | 0.875110i | \(0.339211\pi\) | |||||||
\(548\) | −1.10913e10 | + | 1.92106e10i | −0.122987 | + | 0.213019i | ||||
\(549\) | 2.99243e10 | − | 1.72768e10i | 0.329409 | − | 0.190184i | ||||
\(550\) | −3.43267e10 | − | 5.94556e10i | −0.375129 | − | 0.649743i | ||||
\(551\) | −1.09812e10 | − | 6.33999e9i | −0.119136 | − | 0.0687831i | ||||
\(552\) | 5.87512e10i | 0.632791i | ||||||||
\(553\) | −3.58364e10 | − | 7.92338e10i | −0.383198 | − | 0.847247i | ||||
\(554\) | 8.40752e10 | 0.892542 | ||||||||
\(555\) | −1.13898e9 | + | 1.97277e9i | −0.0120045 | + | 0.0207924i | ||||
\(556\) | 5.34566e10 | − | 3.08632e10i | 0.559374 | − | 0.322955i | ||||
\(557\) | 3.55004e10 | + | 6.14884e10i | 0.368818 | + | 0.638811i | 0.989381 | − | 0.145345i | \(-0.0464293\pi\) |
−0.620563 | + | 0.784156i | \(0.713096\pi\) | |||||||
\(558\) | 2.57620e10 | + | 1.48737e10i | 0.265731 | + | 0.153420i | ||||
\(559\) | 1.34331e11i | 1.37571i | ||||||||
\(560\) | −1.47480e8 | + | 1.48716e9i | −0.00149961 | + | 0.0151219i | ||||
\(561\) | −2.20283e11 | −2.22397 | ||||||||
\(562\) | −6.46024e10 | + | 1.11895e11i | −0.647595 | + | 1.12167i | ||||
\(563\) | −1.38669e11 | + | 8.00603e10i | −1.38021 | + | 0.796863i | −0.992184 | − | 0.124786i | \(-0.960175\pi\) |
−0.388024 | + | 0.921649i | \(0.626842\pi\) | |||||||
\(564\) | 1.52995e10 | + | 2.64996e10i | 0.151203 | + | 0.261892i | ||||
\(565\) | −2.06807e9 | − | 1.19400e9i | −0.0202941 | − | 0.0117168i | ||||
\(566\) | 2.34163e10i | 0.228167i | ||||||||
\(567\) | 1.25306e11 | + | 1.24264e10i | 1.21238 | + | 0.120230i | ||||
\(568\) | 5.12257e10 | 0.492147 | ||||||||
\(569\) | 4.05505e10 | − | 7.02356e10i | 0.386854 | − | 0.670052i | −0.605170 | − | 0.796096i | \(-0.706895\pi\) |
0.992025 | + | 0.126045i | \(0.0402282\pi\) | |||||||
\(570\) | 7.58296e8 | − | 4.37803e8i | 0.00718356 | − | 0.00414743i | ||||
\(571\) | −2.86381e10 | − | 4.96026e10i | −0.269401 | − | 0.466616i | 0.699306 | − | 0.714822i | \(-0.253492\pi\) |
−0.968707 | + | 0.248206i | \(0.920159\pi\) | |||||||
\(572\) | 4.16963e10 | + | 2.40733e10i | 0.389505 | + | 0.224881i | ||||
\(573\) | − | 8.25203e9i | − | 0.0765495i | ||||||
\(574\) | −1.20481e11 | + | 5.44919e10i | −1.10987 | + | 0.501978i | ||||
\(575\) | −1.50480e11 | −1.37660 | ||||||||
\(576\) | 4.66415e9 | − | 8.07854e9i | 0.0423723 | − | 0.0733910i | ||||
\(577\) | −8.57413e9 | + | 4.95028e9i | −0.0773547 | + | 0.0446608i | −0.538178 | − | 0.842831i | \(-0.680887\pi\) |
0.460824 | + | 0.887492i | \(0.347554\pi\) | |||||||
\(578\) | 6.30988e10 | + | 1.09290e11i | 0.565340 | + | 0.979197i | ||||
\(579\) | −1.25479e11 | − | 7.24454e10i | −1.11650 | − | 0.644609i | ||||
\(580\) | 3.17573e9i | 0.0280629i | ||||||||
\(581\) | −4.60041e10 | − | 3.30127e10i | −0.403731 | − | 0.289719i | ||||
\(582\) | −5.23560e10 | −0.456325 | ||||||||
\(583\) | −3.07001e9 | + | 5.31741e9i | −0.0265745 | + | 0.0460284i | ||||
\(584\) | −5.02217e10 | + | 2.89955e10i | −0.431758 | + | 0.249275i | ||||
\(585\) | −2.03829e9 | − | 3.53042e9i | −0.0174037 | − | 0.0301442i | ||||
\(586\) | 7.46256e10 | + | 4.30851e10i | 0.632845 | + | 0.365373i | ||||
\(587\) | − | 1.86462e11i | − | 1.57050i | −0.619181 | − | 0.785249i | \(-0.712535\pi\) | ||
0.619181 | − | 0.785249i | \(-0.287465\pi\) | |||||||
\(588\) | 1.52063e10 | − | 7.59150e10i | 0.127208 | − | 0.635065i | ||||
\(589\) | 1.14770e10 | 0.0953600 | ||||||||
\(590\) | 2.91707e9 | − | 5.05252e9i | 0.0240735 | − | 0.0416965i | ||||
\(591\) | 7.12490e10 | − | 4.11356e10i | 0.584021 | − | 0.337185i | ||||
\(592\) | 4.68154e9 | + | 8.10867e9i | 0.0381155 | + | 0.0660181i | ||||
\(593\) | 1.37576e11 | + | 7.94296e10i | 1.11256 | + | 0.642338i | 0.939492 | − | 0.342571i | \(-0.111298\pi\) |
0.173071 | + | 0.984909i | \(0.444631\pi\) | |||||||
\(594\) | − | 3.91083e10i | − | 0.314140i | ||||||
\(595\) | −7.16061e9 | + | 9.97849e9i | −0.0571324 | + | 0.0796153i | ||||
\(596\) | 8.06410e10 | 0.639103 | ||||||||
\(597\) | 1.19198e11 | − | 2.06457e11i | 0.938364 | − | 1.62529i | ||||
\(598\) | 9.13932e10 | − | 5.27659e10i | 0.714676 | − | 0.412618i | ||||
\(599\) | 5.16598e10 | + | 8.94774e10i | 0.401278 | + | 0.695034i | 0.993880 | − | 0.110461i | \(-0.0352328\pi\) |
−0.592602 | + | 0.805495i | \(0.701899\pi\) | |||||||
\(600\) | 5.12122e10 | + | 2.95674e10i | 0.395156 | + | 0.228143i | ||||
\(601\) | − | 1.71095e9i | − | 0.0131142i | −0.999979 | − | 0.00655708i | \(-0.997913\pi\) | ||
0.999979 | − | 0.00655708i | \(-0.00208720\pi\) | |||||||
\(602\) | −6.23332e10 | − | 1.37818e11i | −0.474606 | − | 1.04935i | ||||
\(603\) | −1.57894e11 | −1.19425 | ||||||||
\(604\) | 8.48263e9 | − | 1.46923e10i | 0.0637357 | − | 0.110393i | ||||
\(605\) | −9.46039e8 | + | 5.46196e8i | −0.00706135 | + | 0.00407687i | ||||
\(606\) | −7.11492e10 | − | 1.23234e11i | −0.527569 | − | 0.913776i | ||||
\(607\) | 2.14248e11 | + | 1.23696e11i | 1.57820 | + | 0.911174i | 0.995111 | + | 0.0987661i | \(0.0314896\pi\) |
0.583089 | + | 0.812408i | \(0.301844\pi\) | |||||||
\(608\) | − | 3.59899e9i | − | 0.0263370i | ||||||
\(609\) | 1.62360e10 | − | 1.63721e11i | 0.118034 | − | 1.19024i | ||||
\(610\) | −3.33886e9 | −0.0241145 | ||||||||
\(611\) | 2.74818e10 | − | 4.75998e10i | 0.197188 | − | 0.341539i | ||||
\(612\) | 6.63917e10 | − | 3.83313e10i | 0.473269 | − | 0.273242i | ||||
\(613\) | 7.81112e10 | + | 1.35293e11i | 0.553186 | + | 0.958147i | 0.998042 | + | 0.0625445i | \(0.0199215\pi\) |
−0.444856 | + | 0.895602i | \(0.646745\pi\) | |||||||
\(614\) | 1.30397e10 | + | 7.52846e9i | 0.0917472 | + | 0.0529703i | ||||
\(615\) | − | 1.94037e10i | − | 0.135639i | ||||||
\(616\) | −5.39494e10 | − | 5.35007e9i | −0.374683 | − | 0.0371567i | ||||
\(617\) | −1.94981e11 | −1.34540 | −0.672700 | − | 0.739916i | \(-0.734865\pi\) | ||||
−0.672700 | + | 0.739916i | \(0.734865\pi\) | |||||||
\(618\) | −1.22727e10 | + | 2.12569e10i | −0.0841369 | + | 0.145729i | ||||
\(619\) | 1.04394e11 | − | 6.02720e10i | 0.711072 | − | 0.410538i | −0.100386 | − | 0.994949i | \(-0.532008\pi\) |
0.811458 | + | 0.584411i | \(0.198674\pi\) | |||||||
\(620\) | −1.43722e9 | − | 2.48934e9i | −0.00972650 | − | 0.0168468i | ||||
\(621\) | −7.42362e10 | − | 4.28603e10i | −0.499171 | − | 0.288197i | ||||
\(622\) | 6.90919e10i | 0.461600i | ||||||||
\(623\) | 7.69676e10 | − | 3.48114e10i | 0.510923 | − | 0.231084i | ||||
\(624\) | −4.14713e10 | −0.273533 | ||||||||
\(625\) | −7.54493e10 | + | 1.30682e11i | −0.494465 | + | 0.856438i | ||||
\(626\) | −8.88235e10 | + | 5.12823e10i | −0.578403 | + | 0.333941i | ||||
\(627\) | 1.58820e10 | + | 2.75085e10i | 0.102763 | + | 0.177990i | ||||
\(628\) | −1.00389e11 | − | 5.79595e10i | −0.645426 | − | 0.372637i | ||||
\(629\) | 7.69484e10i | 0.491583i | ||||||||
\(630\) | 3.72942e9 | + | 2.67625e9i | 0.0236744 | + | 0.0169889i | ||||
\(631\) | 9.17945e10 | 0.579028 | 0.289514 | − | 0.957174i | \(-0.406506\pi\) | ||||
0.289514 | + | 0.957174i | \(0.406506\pi\) | |||||||
\(632\) | 2.62252e10 | − | 4.54233e10i | 0.164380 | − | 0.284715i | ||||
\(633\) | −2.70542e11 | + | 1.56198e11i | −1.68508 | + | 0.972882i | ||||
\(634\) | 1.42905e10 | + | 2.47519e10i | 0.0884486 | + | 0.153197i | ||||
\(635\) | 1.66251e10 | + | 9.59852e9i | 0.102252 | + | 0.0590350i | ||||
\(636\) | − | 5.28872e9i | − | 0.0323238i | ||||||
\(637\) | −1.31750e11 | + | 4.45263e10i | −0.800191 | + | 0.270432i | ||||
\(638\) | −1.15205e11 | −0.695327 | ||||||||
\(639\) | 7.86711e10 | − | 1.36262e11i | 0.471859 | − | 0.817283i | ||||
\(640\) | −7.80616e8 | + | 4.50689e8i | −0.00465283 | + | 0.00268631i | ||||
\(641\) | 3.30840e10 | + | 5.73032e10i | 0.195968 | + | 0.339427i | 0.947218 | − | 0.320592i | \(-0.103882\pi\) |
−0.751249 | + | 0.660019i | \(0.770548\pi\) | |||||||
\(642\) | 1.39793e11 | + | 8.07098e10i | 0.822899 | + | 0.475101i | ||||
\(643\) | 6.09339e10i | 0.356464i | 0.983989 | + | 0.178232i | \(0.0570377\pi\) | ||||
−0.983989 | + | 0.178232i | \(0.942962\pi\) | |||||||
\(644\) | −6.92809e10 | + | 9.65447e10i | −0.402782 | + | 0.561287i | ||||
\(645\) | 2.21958e10 | 0.128243 | ||||||||
\(646\) | 1.47888e10 | − | 2.56149e10i | 0.0849184 | − | 0.147083i | ||||
\(647\) | −1.73942e11 | + | 1.00425e11i | −0.992627 | + | 0.573094i | −0.906059 | − | 0.423152i | \(-0.860924\pi\) |
−0.0865686 | + | 0.996246i | \(0.527590\pi\) | |||||||
\(648\) | 3.79744e10 | + | 6.57735e10i | 0.215373 | + | 0.373036i | ||||
\(649\) | 1.83289e11 | + | 1.05822e11i | 1.03313 | + | 0.596480i | ||||
\(650\) | − | 1.06221e11i | − | 0.595053i | ||||||
\(651\) | 6.13674e10 | + | 1.35683e11i | 0.341675 | + | 0.755441i | ||||
\(652\) | 4.13705e10 | 0.228929 | ||||||||
\(653\) | 1.46187e11 | − | 2.53203e11i | 0.804000 | − | 1.39257i | −0.112964 | − | 0.993599i | \(-0.536034\pi\) |
0.916964 | − | 0.398970i | \(-0.130632\pi\) | |||||||
\(654\) | −5.90231e10 | + | 3.40770e10i | −0.322635 | + | 0.186273i | ||||
\(655\) | −3.29021e9 | − | 5.69881e9i | −0.0178755 | − | 0.0309613i | ||||
\(656\) | −6.90696e10 | − | 3.98774e10i | −0.372968 | − | 0.215333i | ||||
\(657\) | 1.78122e11i | 0.955997i | ||||||||
\(658\) | −6.10756e9 | + | 6.15878e10i | −0.0325810 | + | 0.328542i | ||||
\(659\) | 1.36692e11 | 0.724771 | 0.362386 | − | 0.932028i | \(-0.381962\pi\) | ||||
0.362386 | + | 0.932028i | \(0.381962\pi\) | |||||||
\(660\) | 3.97770e9 | − | 6.88957e9i | 0.0209631 | − | 0.0363092i | ||||
\(661\) | 1.34976e11 | − | 7.79281e10i | 0.707048 | − | 0.408215i | −0.102919 | − | 0.994690i | \(-0.532818\pi\) |
0.809967 | + | 0.586475i | \(0.199485\pi\) | |||||||
\(662\) | −9.21748e10 | − | 1.59651e11i | −0.479933 | − | 0.831268i | ||||
\(663\) | −2.95161e11 | − | 1.70411e11i | −1.52758 | − | 0.881950i | ||||
\(664\) | − | 3.41522e10i | − | 0.175690i | ||||||
\(665\) | 1.76236e9 | + | 1.74770e8i | 0.00901173 | + | 0.000893678i | ||||
\(666\) | 2.87592e10 | 0.146177 | ||||||||
\(667\) | −1.26258e11 | + | 2.18685e11i | −0.637904 | + | 1.10488i | ||||
\(668\) | −7.55090e10 | + | 4.35952e10i | −0.379222 | + | 0.218944i | ||||
\(669\) | 7.66588e10 | + | 1.32777e11i | 0.382699 | + | 0.662855i | ||||
\(670\) | 1.32130e10 | + | 7.62851e9i | 0.0655694 | + | 0.0378565i | ||||
\(671\) | − | 1.21123e11i | − | 0.597497i | ||||||
\(672\) | 4.25479e10 | − | 1.92438e10i | 0.208642 | − | 0.0943657i | ||||
\(673\) | 5.07973e10 | 0.247617 | 0.123808 | − | 0.992306i | \(-0.460489\pi\) | ||||
0.123808 | + | 0.992306i | \(0.460489\pi\) | |||||||
\(674\) | −6.69874e9 | + | 1.16026e10i | −0.0324604 | + | 0.0562230i | ||||
\(675\) | −7.47209e10 | + | 4.31401e10i | −0.359937 | + | 0.207810i | ||||
\(676\) | −1.49604e10 | − | 2.59122e10i | −0.0716401 | − | 0.124084i | ||||
\(677\) | 1.62600e11 | + | 9.38771e10i | 0.774044 | + | 0.446895i | 0.834315 | − | 0.551288i | \(-0.185863\pi\) |
−0.0602713 | + | 0.998182i | \(0.519197\pi\) | |||||||
\(678\) | 7.46178e10i | 0.353121i | ||||||||
\(679\) | −8.60355e10 | − | 6.17395e10i | −0.404761 | − | 0.290459i | ||||
\(680\) | −7.40777e9 | −0.0346459 | ||||||||
\(681\) | −4.11917e10 | + | 7.13460e10i | −0.191523 | + | 0.331727i | ||||
\(682\) | 9.03049e10 | − | 5.21376e10i | 0.417421 | − | 0.240998i | ||||
\(683\) | −1.04863e11 | − | 1.81628e11i | −0.481879 | − | 0.834639i | 0.517904 | − | 0.855439i | \(-0.326712\pi\) |
−0.999784 | + | 0.0207991i | \(0.993379\pi\) | |||||||
\(684\) | −9.57346e9 | − | 5.52724e9i | −0.0437365 | − | 0.0252513i | ||||
\(685\) | − | 6.58374e9i | − | 0.0299027i | ||||||
\(686\) | 1.14509e11 | − | 1.06818e11i | 0.517063 | − | 0.482334i | ||||
\(687\) | 2.23984e11 | 1.00552 | ||||||||
\(688\) | 4.56156e10 | − | 7.90086e10i | 0.203592 | − | 0.352631i | ||||
\(689\) | −8.22712e9 | + | 4.74993e9i | −0.0365066 | + | 0.0210771i | ||||
\(690\) | −8.71864e9 | − | 1.51011e10i | −0.0384638 | − | 0.0666213i | ||||
\(691\) | 2.11477e11 | + | 1.22096e11i | 0.927577 | + | 0.535537i | 0.886044 | − | 0.463600i | \(-0.153443\pi\) |
0.0415327 | + | 0.999137i | \(0.486776\pi\) | |||||||
\(692\) | 1.37378e11i | 0.599093i | ||||||||
\(693\) | −9.70855e10 | + | 1.35291e11i | −0.420941 | + | 0.586592i | ||||
\(694\) | 2.34135e10 | 0.100932 | ||||||||
\(695\) | −9.16016e9 | + | 1.58659e10i | −0.0392612 | + | 0.0680024i | ||||
\(696\) | 8.59376e10 | − | 4.96161e10i | 0.366224 | − | 0.211439i | ||||
\(697\) | −3.27723e11 | − | 5.67633e11i | −1.38860 | − | 2.40512i | ||||
\(698\) | −1.92078e11 | − | 1.10897e11i | −0.809202 | − | 0.467193i | ||||
\(699\) | − | 9.25144e10i | − | 0.387526i | ||||||
\(700\) | 4.92894e10 | + | 1.08978e11i | 0.205287 | + | 0.453887i | ||||
\(701\) | 2.65250e11 | 1.09846 | 0.549228 | − | 0.835672i | \(-0.314922\pi\) | ||||
0.549228 | + | 0.835672i | \(0.314922\pi\) | |||||||
\(702\) | 3.02542e10 | − | 5.24018e10i | 0.124577 | − | 0.215773i | ||||
\(703\) | 9.60916e9 | − | 5.54785e9i | 0.0393427 | − | 0.0227145i | ||||
\(704\) | −1.63495e10 | − | 2.83182e10i | −0.0665601 | − | 0.115285i | ||||
\(705\) | −7.86503e9 | − | 4.54088e9i | −0.0318379 | − | 0.0183816i | ||||
\(706\) | 8.04471e10i | 0.323811i | ||||||||
\(707\) | 2.84027e10 | − | 2.86409e11i | 0.113679 | − | 1.14633i | ||||
\(708\) | −1.82300e11 | −0.725526 | ||||||||
\(709\) | −4.18040e10 | + | 7.24067e10i | −0.165437 | + | 0.286546i | −0.936810 | − | 0.349837i | \(-0.886237\pi\) |
0.771373 | + | 0.636383i | \(0.219570\pi\) | |||||||
\(710\) | −1.31668e10 | + | 7.60186e9i | −0.0518140 | + | 0.0299148i | ||||
\(711\) | −8.05518e10 | − | 1.39520e11i | −0.315208 | − | 0.545956i | ||||
\(712\) | 4.41241e10 | + | 2.54751e10i | 0.171694 | + | 0.0991278i | ||||
\(713\) | − | 2.28559e11i | − | 0.884381i | ||||||
\(714\) | 3.81899e11 | + | 3.78723e10i | 1.46945 | + | 0.145723i | ||||
\(715\) | −1.42899e10 | −0.0546769 | ||||||||
\(716\) | −2.86064e10 | + | 4.95477e10i | −0.108846 | + | 0.188526i | ||||
\(717\) | −9.99918e10 | + | 5.77303e10i | −0.378345 | + | 0.218437i | ||||
\(718\) | 8.74767e10 | + | 1.51514e11i | 0.329151 | + | 0.570106i | ||||
\(719\) | −4.20241e11 | − | 2.42626e11i | −1.57247 | − | 0.907868i | −0.995865 | − | 0.0908469i | \(-0.971043\pi\) |
−0.576608 | − | 0.817021i | \(-0.695624\pi\) | |||||||
\(720\) | 2.76863e9i | 0.0103023i | ||||||||
\(721\) | −4.52342e10 | + | 2.04588e10i | −0.167389 | + | 0.0757076i | ||||
\(722\) | 1.87882e11 | 0.691412 | ||||||||
\(723\) | −7.71520e10 | + | 1.33631e11i | −0.282354 | + | 0.489052i | ||||
\(724\) | −4.96129e10 | + | 2.86440e10i | −0.180568 | + | 0.104251i | ||||
\(725\) | 1.27082e11 | + | 2.20113e11i | 0.459973 | + | 0.796697i | ||||
\(726\) | 2.95609e10 | + | 1.70670e10i | 0.106407 | + | 0.0614342i | ||||
\(727\) | 8.33994e10i | 0.298556i | 0.988795 | + | 0.149278i | \(0.0476949\pi\) | ||||
−0.988795 | + | 0.149278i | \(0.952305\pi\) | |||||||
\(728\) | −6.81489e10 | − | 4.89040e10i | −0.242624 | − | 0.174108i | ||||
\(729\) | 8.06626e10 | 0.285603 | ||||||||
\(730\) | 8.60583e9 | − | 1.49057e10i | 0.0303041 | − | 0.0524882i | ||||
\(731\) | 6.49314e11 | − | 3.74882e11i | 2.27397 | − | 1.31288i | ||||
\(732\) | 5.21647e10 | + | 9.03520e10i | 0.181691 | + | 0.314698i | ||||
\(733\) | −4.29858e11 | − | 2.48179e11i | −1.48905 | − | 0.859703i | −0.489127 | − | 0.872212i | \(-0.662685\pi\) |
−0.999922 | + | 0.0125096i | \(0.996018\pi\) | |||||||
\(734\) | 2.71405e11i | 0.935048i | ||||||||
\(735\) | 7.35719e9 | + | 2.17694e10i | 0.0252094 | + | 0.0745929i | ||||
\(736\) | −7.16723e10 | −0.244253 | ||||||||
\(737\) | −2.76737e11 | + | 4.79322e11i | −0.937988 | + | 1.62464i | ||||
\(738\) | −2.12151e11 | + | 1.22485e11i | −0.715186 | + | 0.412913i | ||||
\(739\) | 1.27525e11 | + | 2.20881e11i | 0.427582 | + | 0.740593i | 0.996658 | − | 0.0816918i | \(-0.0260323\pi\) |
−0.569076 | + | 0.822285i | \(0.692699\pi\) | |||||||
\(740\) | −2.40664e9 | − | 1.38948e9i | −0.00802573 | − | 0.00463366i | ||||
\(741\) | 4.91455e10i | 0.163009i | ||||||||
\(742\) | 6.23660e9 | − | 8.69085e9i | 0.0205746 | − | 0.0286712i | ||||
\(743\) | −3.20873e11 | −1.05288 | −0.526439 | − | 0.850213i | \(-0.676473\pi\) | ||||
−0.526439 | + | 0.850213i | \(0.676473\pi\) | |||||||
\(744\) | −4.49088e10 | + | 7.77844e10i | −0.146568 | + | 0.253864i | ||||
\(745\) | −2.07276e10 | + | 1.19671e10i | −0.0672858 | + | 0.0388475i | ||||
\(746\) | 2.09637e11 | + | 3.63102e11i | 0.676882 | + | 1.17239i | ||||
\(747\) | −9.08463e10 | − | 5.24501e10i | −0.291759 | − | 0.168447i | ||||
\(748\) | − | 2.68729e11i | − | 0.858438i | ||||||
\(749\) | 1.34545e11 | + | 2.97477e11i | 0.427503 | + | 0.945204i | ||||
\(750\) | −3.51673e10 | −0.111146 | ||||||||
\(751\) | −9.00753e10 | + | 1.56015e11i | −0.283169 | + | 0.490463i | −0.972164 | − | 0.234303i | \(-0.924719\pi\) |
0.688994 | + | 0.724767i | \(0.258052\pi\) | |||||||
\(752\) | −3.23276e10 | + | 1.86643e10i | −0.101089 | + | 0.0583635i | ||||
\(753\) | 5.19887e10 | + | 9.00471e10i | 0.161707 | + | 0.280085i | ||||
\(754\) | −1.54365e11 | − | 8.91229e10i | −0.477600 | − | 0.275743i | ||||
\(755\) | 5.03527e9i | 0.0154965i | ||||||||
\(756\) | −6.72371e9 | + | 6.78010e10i | −0.0205836 | + | 0.207562i | ||||
\(757\) | −5.54116e10 | −0.168740 | −0.0843698 | − | 0.996435i | \(-0.526888\pi\) | ||||
−0.0843698 | + | 0.996435i | \(0.526888\pi\) | |||||||
\(758\) | −2.34729e10 | + | 4.06562e10i | −0.0711033 | + | 0.123155i | ||||
\(759\) | 5.47819e11 | − | 3.16283e11i | 1.65071 | − | 0.953036i | ||||
\(760\) | 5.34088e8 | + | 9.25067e8i | 0.00160088 | + | 0.00277280i | ||||
\(761\) | 3.90637e11 | + | 2.25535e11i | 1.16476 | + | 0.672472i | 0.952439 | − | 0.304728i | \(-0.0985657\pi\) |
0.212317 | + | 0.977201i | \(0.431899\pi\) | |||||||
\(762\) | − | 5.99850e11i | − | 1.77919i | ||||||
\(763\) | −1.37176e11 | − | 1.36035e10i | −0.404744 | − | 0.0401378i | ||||
\(764\) | 1.00669e10 | 0.0295476 | ||||||||
\(765\) | −1.13767e10 | + | 1.97050e10i | −0.0332177 | + | 0.0575347i | ||||
\(766\) | 2.06443e11 | − | 1.19190e11i | 0.599632 | − | 0.346198i | ||||
\(767\) | 1.63728e11 | + | 2.83585e11i | 0.473087 | + | 0.819410i | ||||
\(768\) | 2.43919e10 | + | 1.40827e10i | 0.0701134 | + | 0.0404800i | ||||
\(769\) | 2.81725e11i | 0.805600i | 0.915288 | + | 0.402800i | \(0.131963\pi\) | ||||
−0.915288 | + | 0.402800i | \(0.868037\pi\) | |||||||
\(770\) | 1.46608e10 | − | 6.63090e9i | 0.0417057 | − | 0.0188629i | ||||
\(771\) | 9.48062e10 | 0.268299 | ||||||||
\(772\) | 8.83782e10 | − | 1.53076e11i | 0.248815 | − | 0.430960i | ||||
\(773\) | −2.50780e11 | + | 1.44788e11i | −0.702383 | + | 0.405521i | −0.808234 | − | 0.588861i | \(-0.799577\pi\) |
0.105851 | + | 0.994382i | \(0.466243\pi\) | |||||||
\(774\) | −1.40111e11 | − | 2.42679e11i | −0.390398 | − | 0.676188i | ||||
\(775\) | −1.99230e11 | − | 1.15025e11i | −0.552265 | − | 0.318850i | ||||
\(776\) | − | 6.38706e10i | − | 0.176138i | ||||||
\(777\) | 1.16968e11 | + | 8.39367e10i | 0.320909 | + | 0.230286i | ||||
\(778\) | −2.00175e11 | −0.546375 | ||||||||
\(779\) | −4.72566e10 | + | 8.18508e10i | −0.128325 | + | 0.222266i | ||||
\(780\) | 1.06596e10 | − | 6.15431e9i | 0.0287979 | − | 0.0166265i | ||||
\(781\) | −2.75770e11 | − | 4.77648e11i | −0.741213 | − | 1.28382i | ||||
\(782\) | −5.10109e11 | − | 2.94511e11i | −1.36407 | − | 0.787544i | ||||
\(783\) | 1.44784e11i | 0.385189i | ||||||||
\(784\) | 9.26109e10 | + | 1.85506e10i | 0.245131 | + | 0.0491013i | ||||
\(785\) | 3.44046e10 | 0.0906020 | ||||||||
\(786\) | −1.02809e11 | + | 1.78071e11i | −0.269365 | + | 0.466555i | ||||
\(787\) | 4.10914e11 | − | 2.37241e11i | 1.07115 | − | 0.618431i | 0.142658 | − | 0.989772i | \(-0.454435\pi\) |
0.928497 | + | 0.371341i | \(0.121102\pi\) | |||||||
\(788\) | 5.01825e10 | + | 8.69187e10i | 0.130151 | + | 0.225428i | ||||
\(789\) | −1.48332e11 | − | 8.56395e10i | −0.382760 | − | 0.220987i | ||||
\(790\) | 1.55672e10i | 0.0399670i | ||||||||
\(791\) | −8.79912e10 | + | 1.22618e11i | −0.224767 | + | 0.313219i | ||||
\(792\) | −1.00437e11 | −0.255265 | ||||||||
\(793\) | 9.37009e10 | − | 1.62295e11i | 0.236947 | − | 0.410404i | ||||
\(794\) | −3.56073e11 | + | 2.05579e11i | −0.895894 | + | 0.517245i | ||||
\(795\) | 7.84842e8 | + | 1.35939e9i | 0.00196478 | + | 0.00340310i | ||||
\(796\) | 2.51863e11 | + | 1.45413e11i | 0.627353 | + | 0.362202i | ||||
\(797\) | 8.62187e10i | 0.213682i | 0.994276 | + | 0.106841i | \(0.0340736\pi\) | ||||
−0.994276 | + | 0.106841i | \(0.965926\pi\) | |||||||
\(798\) | −2.28049e10 | − | 5.04213e10i | −0.0562362 | − | 0.124338i | ||||
\(799\) | −3.06777e11 | −0.752725 | ||||||||
\(800\) | −3.60701e10 | + | 6.24753e10i | −0.0880618 | + | 0.152527i | ||||
\(801\) | 1.35529e11 | − | 7.82479e10i | 0.329233 | − | 0.190083i | ||||
\(802\) | 7.55887e10 | + | 1.30923e11i | 0.182709 | + | 0.316461i | ||||
\(803\) | 5.40730e11 | + | 3.12191e11i | 1.30052 | + | 0.750858i | ||||
\(804\) | − | 4.76736e11i | − | 1.14092i | ||||||
\(805\) | 3.48047e9 | − | 3.50966e10i | 0.00828810 | − | 0.0835760i | ||||
\(806\) | 1.61335e11 | 0.382286 | ||||||||
\(807\) | 6.12841e10 | − | 1.06147e11i | 0.144495 | − | 0.250273i | ||||
\(808\) | 1.50337e11 | − | 8.67969e10i | 0.352711 | − | 0.203638i | ||||
\(809\) | −2.07528e11 | − | 3.59449e11i | −0.484488 | − | 0.839158i | 0.515353 | − | 0.856978i | \(-0.327661\pi\) |
−0.999841 | + | 0.0178202i | \(0.994327\pi\) | |||||||
\(810\) | −1.95215e10 | − | 1.12707e10i | −0.0453495 | − | 0.0261826i | ||||
\(811\) | − | 1.55490e11i | − | 0.359435i | −0.983718 | − | 0.179717i | \(-0.942482\pi\) | ||
0.983718 | − | 0.179717i | \(-0.0575183\pi\) | |||||||
\(812\) | 1.99728e11 | + | 1.98067e10i | 0.459426 | + | 0.0455605i | ||||
\(813\) | 4.51208e11 | 1.03280 | ||||||||
\(814\) | 5.04056e10 | − | 8.73050e10i | 0.114810 | − | 0.198857i | ||||
\(815\) | −1.06337e10 | + | 6.13936e9i | −0.0241020 | + | 0.0139153i | ||||
\(816\) | 1.15735e11 | + | 2.00460e11i | 0.261039 | + | 0.452133i | ||||
\(817\) | −9.36290e10 | − | 5.40567e10i | −0.210146 | − | 0.121328i | ||||
\(818\) | − | 1.13929e10i | − | 0.0254461i | ||||||
\(819\) | −2.34748e11 | + | 1.06173e11i | −0.521754 | + | 0.235982i | ||||
\(820\) | 2.36711e10 | 0.0523556 | ||||||||
\(821\) | 2.57357e11 | − | 4.45756e11i | 0.566453 | − | 0.981125i | −0.430460 | − | 0.902610i | \(-0.641649\pi\) |
0.996913 | − | 0.0785156i | \(-0.0250180\pi\) | |||||||
\(822\) | −1.78161e11 | + | 1.02861e11i | −0.390233 | + | 0.225301i | ||||
\(823\) | −2.04046e11 | − | 3.53418e11i | −0.444763 | − | 0.770352i | 0.553273 | − | 0.833000i | \(-0.313379\pi\) |
−0.998036 | + | 0.0626483i | \(0.980045\pi\) | |||||||
\(824\) | −2.59320e10 | − | 1.49718e10i | −0.0562505 | − | 0.0324762i | ||||
\(825\) | − | 6.36696e11i | − | 1.37441i | ||||||
\(826\) | −2.99569e11 | − | 2.14972e11i | −0.643542 | − | 0.461809i | ||||
\(827\) | −4.64921e11 | −0.993933 | −0.496966 | − | 0.867770i | \(-0.665553\pi\) | ||||
−0.496966 | + | 0.867770i | \(0.665553\pi\) | |||||||
\(828\) | −1.10072e11 | + | 1.90651e11i | −0.234184 | + | 0.405619i | ||||
\(829\) | 8.50589e10 | − | 4.91088e10i | 0.180095 | − | 0.103978i | −0.407242 | − | 0.913320i | \(-0.633510\pi\) |
0.587337 | + | 0.809342i | \(0.300176\pi\) | |||||||
\(830\) | 5.06817e9 | + | 8.77833e9i | 0.0106792 | + | 0.0184969i | ||||
\(831\) | 6.75257e11 | + | 3.89860e11i | 1.41601 | + | 0.817531i | ||||
\(832\) | − | 5.05920e10i | − | 0.105582i | ||||||
\(833\) | 5.82907e11 | + | 5.12580e11i | 1.21065 | + | 1.06459i | ||||
\(834\) | 5.72455e11 | 1.18325 | ||||||||
\(835\) | 1.29390e10 | − | 2.24110e10i | 0.0266167 | − | 0.0461015i | ||||
\(836\) | −3.35584e10 | + | 1.93749e10i | −0.0687030 | + | 0.0396657i | ||||
\(837\) | −6.55240e10 | − | 1.13491e11i | −0.133505 | − | 0.231238i | ||||
\(838\) | 1.87746e11 | + | 1.08395e11i | 0.380711 | + | 0.219804i | ||||
\(839\) | 2.57355e11i | 0.519379i | 0.965692 | + | 0.259690i | \(0.0836202\pi\) | ||||
−0.965692 | + | 0.259690i | \(0.916380\pi\) | |||||||
\(840\) | −8.08053e9 | + | 1.12604e10i | −0.0162302 | + | 0.0226171i | ||||
\(841\) | −7.37408e10 | −0.147409 | ||||||||
\(842\) | 9.07845e10 | − | 1.57243e11i | 0.180619 | − | 0.312841i | ||||
\(843\) | −1.03772e12 | + | 5.99128e11i | −2.05480 | + | 1.18634i | ||||
\(844\) | −1.90550e11 | − | 3.30043e11i | −0.375526 | − | 0.650429i | ||||
\(845\) | 7.69070e9 | + | 4.44023e9i | 0.0150848 | + | 0.00870920i | ||||
\(846\) | 1.14657e11i | 0.223830i | ||||||||
\(847\) | 2.84510e10 | + | 6.29048e10i | 0.0552795 | + | 0.122222i | ||||
\(848\) | 6.45186e9 | 0.0124768 | ||||||||
\(849\) | −1.08582e11 | + | 1.88070e11i | −0.208991 | + | 0.361983i | ||||
\(850\) | −5.13439e11 | + | 2.96434e11i | −0.983588 | + | 0.567875i | ||||
\(851\) | −1.10483e11 | − | 1.91362e11i | −0.210658 | − | 0.364870i | ||||
\(852\) | 4.11423e11 | + | 2.37535e11i | 0.780783 | + | 0.450786i | ||||
\(853\) | 7.12644e11i | 1.34610i | 0.739598 | + | 0.673049i | \(0.235016\pi\) | ||||
−0.739598 | + | 0.673049i | \(0.764984\pi\) | |||||||
\(854\) | −2.08241e10 | + | 2.09988e11i | −0.0391503 | + | 0.394786i | ||||
\(855\) | 3.28095e9 | 0.00613954 | ||||||||
\(856\) | −9.84602e10 | + | 1.70538e11i | −0.183386 | + | 0.317633i | ||||
\(857\) | 7.02742e11 | − | 4.05728e11i | 1.30278 | − | 0.752163i | 0.321903 | − | 0.946773i | \(-0.395677\pi\) |
0.980881 | + | 0.194610i | \(0.0623442\pi\) | |||||||
\(858\) | 2.23258e11 | + | 3.86694e11i | 0.411963 | + | 0.713540i | ||||
\(859\) | −1.69870e11 | − | 9.80744e10i | −0.311992 | − | 0.180129i | 0.335826 | − | 0.941924i | \(-0.390985\pi\) |
−0.647818 | + | 0.761796i | \(0.724318\pi\) | |||||||
\(860\) | 2.70773e10i | 0.0495007i | ||||||||
\(861\) | −1.22033e12 | − | 1.21019e11i | −2.22058 | − | 0.220211i | ||||
\(862\) | 2.70493e11 | 0.489923 | ||||||||
\(863\) | −3.83209e10 | + | 6.63738e10i | −0.0690864 | + | 0.119661i | −0.898499 | − | 0.438975i | \(-0.855342\pi\) |
0.829413 | + | 0.558636i | \(0.188675\pi\) | |||||||
\(864\) | −3.55889e10 | + | 2.05473e10i | −0.0638645 | + | 0.0368722i | ||||
\(865\) | −2.03869e10 | − | 3.53111e10i | −0.0364155 | − | 0.0630735i | ||||
\(866\) | −2.50305e11 | − | 1.44513e11i | −0.445038 | − | 0.256943i | ||||
\(867\) | 1.17037e12i | 2.07131i | ||||||||
\(868\) | −1.65523e11 | + | 7.48639e10i | −0.291595 | + | 0.131884i | ||||
\(869\) | −5.64726e11 | −0.990281 | ||||||||
\(870\) | −1.47260e10 | + | 2.55062e10i | −0.0257044 | + | 0.0445213i | ||||
\(871\) | −7.41609e11 | + | 4.28168e11i | −1.28855 | + | 0.743947i | ||||
\(872\) | −4.15715e10 | − | 7.20040e10i | −0.0719002 | − | 0.124535i | ||||
\(873\) | −1.69898e11 | − | 9.80908e10i | −0.292504 | − | 0.168877i | ||||
\(874\) | 8.49351e10i | 0.145560i | ||||||||
\(875\) | −5.77898e10 | − | 4.14702e10i | −0.0985868 | − | 0.0707464i | ||||
\(876\) | −5.37813e11 | −0.913303 | ||||||||
\(877\) | 3.20076e11 | − | 5.54389e11i | 0.541072 | − | 0.937165i | −0.457771 | − | 0.889070i | \(-0.651352\pi\) |
0.998843 | − | 0.0480942i | \(-0.0153148\pi\) | |||||||
\(878\) | 4.60581e11 | − | 2.65916e11i | 0.775046 | − | 0.447473i | ||||
\(879\) | 3.99575e11 | + | 6.92084e11i | 0.669333 | + | 1.15932i | ||||
\(880\) | 8.40479e9 | + | 4.85251e9i | 0.0140151 | + | 0.00809162i | ||||
\(881\) | − | 8.09070e11i | − | 1.34302i | −0.740996 | − | 0.671510i | \(-0.765646\pi\) | ||
0.740996 | − | 0.671510i | \(-0.234354\pi\) | |||||||
\(882\) | 1.91575e11 | − | 2.17859e11i | 0.316566 | − | 0.359999i | ||||
\(883\) | 3.24834e11 | 0.534341 | 0.267171 | − | 0.963649i | \(-0.413911\pi\) | ||||
0.267171 | + | 0.963649i | \(0.413911\pi\) | |||||||
\(884\) | 2.07890e11 | − | 3.60075e11i | 0.340427 | − | 0.589636i | ||||
\(885\) | 4.68574e10 | − | 2.70531e10i | 0.0763845 | − | 0.0441006i | ||||
\(886\) | 1.68489e11 | + | 2.91832e11i | 0.273424 | + | 0.473585i | ||||
\(887\) | −3.16246e11 | − | 1.82585e11i | −0.510894 | − | 0.294965i | 0.222307 | − | 0.974977i | \(-0.428641\pi\) |
−0.733201 | + | 0.680012i | \(0.761975\pi\) | |||||||
\(888\) | 8.68339e10i | 0.139649i | ||||||||
\(889\) | 7.07359e11 | − | 9.85722e11i | 1.13249 | − | 1.57815i | ||||
\(890\) | −1.51219e10 | −0.0241017 | ||||||||
\(891\) | 4.08865e11 | − | 7.08175e11i | 0.648738 | − | 1.12365i | ||||
\(892\) | −1.61978e11 | + | 9.35183e10i | −0.255857 | + | 0.147719i | ||||
\(893\) | 2.21181e10 | + | 3.83097e10i | 0.0347811 | + | 0.0602425i | ||||
\(894\) | 6.47675e11 | + | 3.73935e11i | 1.01393 | + | 0.585391i | ||||
\(895\) | − | 1.69807e10i | − | 0.0264644i | ||||||
\(896\) | 2.34761e10 | + | 5.19054e10i | 0.0364245 | + | 0.0805342i | ||||
\(897\) | 9.78709e11 | 1.51176 | ||||||||
\(898\) | 3.44653e11 | − | 5.96957e11i | 0.530001 | − | 0.917989i | ||||
\(899\) | −3.34322e11 | + | 1.93021e11i | −0.511830 | + | 0.295505i | ||||
\(900\) | 1.10791e11 | + | 1.91896e11i | 0.168863 | + | 0.292479i | ||||
\(901\) | 4.59194e10 | + | 2.65116e10i | 0.0696783 | + | 0.0402288i | ||||
\(902\) | 8.58709e11i | 1.29724i | ||||||||
\(903\) | 1.38433e11 | − | 1.39594e12i | 0.208204 | − | 2.09950i | ||||
\(904\) | −9.10284e10 | −0.136302 | ||||||||
\(905\) | 8.50150e9 | − | 1.47250e10i | 0.0126736 | − | 0.0219514i | ||||
\(906\) | 1.36258e11 | − | 7.86685e10i | 0.202232 | − | 0.116758i | ||||
\(907\) | 2.49774e11 | + | 4.32622e11i | 0.369078 | + | 0.639263i | 0.989422 | − | 0.145068i | \(-0.0463400\pi\) |
−0.620343 | + | 0.784330i | \(0.713007\pi\) | |||||||
\(908\) | −8.70371e10 | − | 5.02509e10i | −0.128045 | − | 0.0739265i | ||||
\(909\) | − | 5.33202e11i | − | 0.780973i | ||||||
\(910\) | 2.47740e10 | + | 2.45679e9i | 0.0361269 | + | 0.00358264i | ||||
\(911\) | 8.72045e10 | 0.126609 | 0.0633046 | − | 0.997994i | \(-0.479836\pi\) | ||||
0.0633046 | + | 0.997994i | \(0.479836\pi\) | |||||||
\(912\) | 1.66887e10 | − | 2.89056e10i | 0.0241236 | − | 0.0417833i | ||||
\(913\) | −3.18449e11 | + | 1.83856e11i | −0.458307 | + | 0.264604i | ||||
\(914\) | −3.88188e11 | − | 6.72361e11i | −0.556234 | − | 0.963425i | ||||
\(915\) | −2.68163e10 | − | 1.54824e10i | −0.0382574 | − | 0.0220879i | ||||
\(916\) | 2.73245e11i | 0.388124i | ||||||||
\(917\) | −3.78930e11 | + | 1.71385e11i | −0.535897 | + | 0.242379i | ||||
\(918\) | −3.37726e11 | −0.475548 | ||||||||
\(919\) | −1.50979e11 | + | 2.61504e11i | −0.211668 | + | 0.366620i | −0.952237 | − | 0.305361i | \(-0.901223\pi\) |
0.740568 | + | 0.671981i | \(0.234556\pi\) | |||||||
\(920\) | 1.84223e10 | − | 1.06361e10i | 0.0257154 | − | 0.0148468i | ||||
\(921\) | 6.98194e10 | + | 1.20931e11i | 0.0970371 | + | 0.168073i | ||||
\(922\) | −5.75123e11 | − | 3.32047e11i | −0.795860 | − | 0.459490i | ||||
\(923\) | − | 8.53345e11i | − | 1.17576i | ||||||
\(924\) | −4.08490e11 | − | 2.93135e11i | −0.560395 | − | 0.402142i | ||||
\(925\) | −2.22409e11 | −0.303798 | ||||||||
\(926\) | −2.49312e11 | + | 4.31822e11i | −0.339078 | + | 0.587301i | ||||
\(927\) | −7.96513e10 | + | 4.59867e10i | −0.107863 | + | 0.0622749i | ||||
\(928\) | 6.05281e10 | + | 1.04838e11i | 0.0816141 | + | 0.141360i | ||||
\(929\) | 4.35609e11 | + | 2.51499e11i | 0.584835 | + | 0.337655i | 0.763053 | − | 0.646336i | \(-0.223700\pi\) |
−0.178217 | + | 0.983991i | \(0.557033\pi\) | |||||||
\(930\) | − | 2.66578e10i | − | 0.0356362i | ||||||
\(931\) | 2.19833e10 | − | 1.09748e11i | 0.0292613 | − | 0.146083i | ||||
\(932\) | 1.12861e11 | 0.149582 | ||||||||
\(933\) | −3.20382e11 | + | 5.54917e11i | −0.422806 | + | 0.732321i | ||||
\(934\) | 4.08319e11 | − | 2.35743e11i | 0.536553 | − | 0.309779i | ||||
\(935\) | 3.98793e10 | + | 6.90729e10i | 0.0521796 | + | 0.0903777i | ||||
\(936\) | −1.34577e11 | − | 7.76979e10i | −0.175334 | − | 0.101229i | ||||
\(937\) | 1.22221e12i | 1.58557i | 0.609499 | + | 0.792787i | \(0.291371\pi\) | ||||
−0.609499 | + | 0.792787i | \(0.708629\pi\) | |||||||
\(938\) | 5.62180e11 | − | 7.83411e11i | 0.726213 | − | 1.01199i | ||||
\(939\) | −9.51191e11 | −1.22350 | ||||||||
\(940\) | 5.53955e9 | − | 9.59478e9i | 0.00709517 | − | 0.0122892i | ||||
\(941\) | −3.75495e10 | + | 2.16792e10i | −0.0478902 | + | 0.0276494i | −0.523754 | − | 0.851870i | \(-0.675469\pi\) |
0.475864 | + | 0.879519i | \(0.342136\pi\) | |||||||
\(942\) | −5.37521e11 | − | 9.31013e11i | −0.682640 | − | 1.18237i | ||||
\(943\) | 1.63002e12 | + | 9.41093e11i | 2.06133 | + | 1.19011i | ||||
\(944\) | − | 2.22393e11i | − | 0.280048i | ||||||
\(945\) | −8.33339e9 | − | 1.84250e10i | −0.0104495 | − | 0.0231037i | ||||
\(946\) | −9.82275e11 | −1.22650 | ||||||||
\(947\) | 2.10378e11 | − | 3.64385e11i | 0.261578 | − | 0.453066i | −0.705084 | − | 0.709124i | \(-0.749091\pi\) |
0.966661 | + | 0.256058i | \(0.0824239\pi\) | |||||||
\(948\) | 4.21259e11 | − | 2.43214e11i | 0.521574 | − | 0.301131i | ||||
\(949\) | 4.83023e11 | + | 8.36620e11i | 0.595529 | + | 1.03149i | ||||
\(950\) | 7.40362e10 | + | 4.27448e10i | 0.0908970 | + | 0.0524794i | ||||
\(951\) | 2.65063e11i | 0.324061i | ||||||||
\(952\) | −4.62015e10 | + | 4.65889e11i | −0.0562481 | + | 0.567198i | ||||
\(953\) | −4.33447e11 | −0.525490 | −0.262745 | − | 0.964865i | \(-0.584628\pi\) | ||||
−0.262745 | + | 0.964865i | \(0.584628\pi\) | |||||||
\(954\) | 9.90860e9 | − | 1.71622e10i | 0.0119624 | − | 0.0207195i | ||||
\(955\) | −2.58755e9 | + | 1.49392e9i | −0.00311082 | + | 0.00179603i | ||||
\(956\) | −7.04269e10 | − | 1.21983e11i | −0.0843154 | − | 0.146039i | ||||
\(957\) | −9.25279e11 | − | 5.34210e11i | −1.10313 | − | 0.636890i | ||||
\(958\) | 3.84240e10i | 0.0456185i | ||||||||
\(959\) | −4.14064e11 | − | 4.10621e10i | −0.489546 | − | 0.0485474i | ||||
\(960\) | −8.35944e9 | −0.00984220 | ||||||||
\(961\) | −2.51738e11 | + | 4.36022e11i | −0.295158 | + | 0.511229i | ||||
\(962\) | 1.35079e11 | − | 7.79877e10i | 0.157720 | − | 0.0910596i | ||||
\(963\) | 3.02425e11 | + | 5.23816e11i | 0.351652 | + | 0.609079i | ||||
\(964\) | −1.63021e11 | − | 9.41200e10i | −0.188771 | − | 0.108987i | ||||
\(965\) | 5.24610e10i | 0.0604961i | ||||||||
\(966\) | −1.00412e12 | + | 4.54148e11i | −1.15312 | + | 0.521542i | ||||
\(967\) | 1.45662e12 | 1.66587 | 0.832936 | − | 0.553369i | \(-0.186658\pi\) | ||||
0.832936 | + | 0.553369i | \(0.186658\pi\) | |||||||
\(968\) | −2.08205e10 | + | 3.60622e10i | −0.0237132 | + | 0.0410725i | ||||
\(969\) | 2.37554e11 | − | 1.37152e11i | 0.269443 | − | 0.155563i | ||||
\(970\) | 9.47835e9 | + | 1.64170e10i | 0.0107065 | + | 0.0185441i | ||||
\(971\) | −1.03111e11 | − | 5.95314e10i | −0.115992 | − | 0.0669683i | 0.440881 | − | 0.897565i | \(-0.354666\pi\) |
−0.556874 | + | 0.830597i | \(0.687999\pi\) | |||||||
\(972\) | 5.18171e11i | 0.580508i | ||||||||
\(973\) | 9.40704e11 | + | 6.75054e11i | 1.04955 | + | 0.753160i | ||||
\(974\) | 1.23182e12 | 1.36871 | ||||||||
\(975\) | 4.92550e11 | − | 8.53121e11i | 0.545044 | − | 0.944044i | ||||
\(976\) | −1.10223e11 | + | 6.36373e10i | −0.121471 | + | 0.0701314i | ||||
\(977\) | 1.24713e11 | + | 2.16010e11i | 0.136878 | + | 0.237080i | 0.926313 | − | 0.376754i | \(-0.122960\pi\) |
−0.789435 | + | 0.613834i | \(0.789626\pi\) | |||||||
\(978\) | 3.32271e11 | + | 1.91837e11i | 0.363192 | + | 0.209689i | ||||
\(979\) | − | 5.48573e11i | − | 0.597178i | ||||||
\(980\) | −2.65571e10 | + | 8.97524e9i | −0.0287923 | + | 0.00973065i | ||||
\(981\) | −2.55378e11 | −0.275745 | ||||||||
\(982\) | −9.90142e9 | + | 1.71498e10i | −0.0106476 | + | 0.0184422i | ||||
\(983\) | −4.93986e11 | + | 2.85203e11i | −0.529055 | + | 0.305450i | −0.740632 | − | 0.671911i | \(-0.765474\pi\) |
0.211576 | + | 0.977361i | \(0.432140\pi\) | |||||||
\(984\) | −3.69825e11 | − | 6.40556e11i | −0.394472 | − | 0.683246i | ||||
\(985\) | −2.57973e10 | − | 1.48941e10i | −0.0274050 | − | 0.0158223i | ||||
\(986\) | 9.94874e11i | 1.05259i | ||||||||
\(987\) | −3.34638e11 | + | 4.66326e11i | −0.352620 | + | 0.491385i | ||||
\(988\) | −5.99540e10 | −0.0629202 | ||||||||
\(989\) | −1.07651e12 | + | 1.86458e12i | −1.12521 | + | 1.94893i | ||||
\(990\) | 2.58157e10 | − | 1.49047e10i | 0.0268747 | − | 0.0155161i | ||||
\(991\) | −3.22979e11 | − | 5.59416e11i | −0.334873 | − | 0.580017i | 0.648588 | − | 0.761140i | \(-0.275360\pi\) |
−0.983460 | + | 0.181123i | \(0.942027\pi\) | |||||||
\(992\) | −9.48914e10 | − | 5.47856e10i | −0.0979897 | − | 0.0565744i | ||||
\(993\) | − | 1.70967e12i | − | 1.75839i | ||||||
\(994\) | 3.95976e11 | + | 8.75498e11i | 0.405624 | + | 0.896829i | ||||
\(995\) | −8.63168e10 | −0.0880649 | ||||||||
\(996\) | 1.58365e11 | − | 2.74297e11i | 0.160925 | − | 0.278730i | ||||
\(997\) | −1.02509e12 | + | 5.91835e11i | −1.03748 | + | 0.598991i | −0.919119 | − | 0.393980i | \(-0.871098\pi\) |
−0.118363 | + | 0.992970i | \(0.537765\pi\) | |||||||
\(998\) | −2.02279e11 | − | 3.50357e11i | −0.203905 | − | 0.353174i | ||||
\(999\) | −1.09721e11 | − | 6.33473e10i | −0.110161 | − | 0.0636013i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 14.9.d.a.5.1 | yes | 12 | |
3.2 | odd | 2 | 126.9.n.b.19.5 | 12 | |||
4.3 | odd | 2 | 112.9.s.c.33.6 | 12 | |||
7.2 | even | 3 | 98.9.b.c.97.8 | 12 | |||
7.3 | odd | 6 | inner | 14.9.d.a.3.1 | ✓ | 12 | |
7.4 | even | 3 | 98.9.d.b.31.3 | 12 | |||
7.5 | odd | 6 | 98.9.b.c.97.11 | 12 | |||
7.6 | odd | 2 | 98.9.d.b.19.3 | 12 | |||
21.17 | even | 6 | 126.9.n.b.73.5 | 12 | |||
28.3 | even | 6 | 112.9.s.c.17.6 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.9.d.a.3.1 | ✓ | 12 | 7.3 | odd | 6 | inner | |
14.9.d.a.5.1 | yes | 12 | 1.1 | even | 1 | trivial | |
98.9.b.c.97.8 | 12 | 7.2 | even | 3 | |||
98.9.b.c.97.11 | 12 | 7.5 | odd | 6 | |||
98.9.d.b.19.3 | 12 | 7.6 | odd | 2 | |||
98.9.d.b.31.3 | 12 | 7.4 | even | 3 | |||
112.9.s.c.17.6 | 12 | 28.3 | even | 6 | |||
112.9.s.c.33.6 | 12 | 4.3 | odd | 2 | |||
126.9.n.b.19.5 | 12 | 3.2 | odd | 2 | |||
126.9.n.b.73.5 | 12 | 21.17 | even | 6 |