Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), 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: | \(17.5172802326\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 22.5 | ||
Character | \(\chi\) | \(=\) | 43.22 |
Dual form | 43.9.f.a.2.5 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −10.2670 | + | 21.3197i | −0.641689 | + | 1.33248i | 0.285677 | + | 0.958326i | \(0.407782\pi\) |
−0.927366 | + | 0.374155i | \(0.877933\pi\) | |||||||
\(3\) | 22.6641 | + | 47.0626i | 0.279804 | + | 0.581019i | 0.992750 | − | 0.120200i | \(-0.0383536\pi\) |
−0.712946 | + | 0.701219i | \(0.752639\pi\) | |||||||
\(4\) | −189.504 | − | 237.631i | −0.740251 | − | 0.928246i | ||||
\(5\) | 67.6603 | − | 15.4430i | 0.108256 | − | 0.0247088i | −0.168050 | − | 0.985779i | \(-0.553747\pi\) |
0.276306 | + | 0.961070i | \(0.410890\pi\) | |||||||
\(6\) | −1236.05 | −0.953745 | ||||||||
\(7\) | − | 643.549i | − | 0.268034i | −0.990979 | − | 0.134017i | \(-0.957212\pi\) | ||
0.990979 | − | 0.134017i | \(-0.0427876\pi\) | |||||||
\(8\) | 1106.00 | − | 252.436i | 0.270019 | − | 0.0616300i | ||||
\(9\) | 2389.49 | − | 2996.33i | 0.364197 | − | 0.456688i | ||||
\(10\) | −365.429 | + | 1601.05i | −0.0365429 | + | 0.160105i | ||||
\(11\) | 11042.0 | − | 13846.3i | 0.754185 | − | 0.945718i | −0.245535 | − | 0.969388i | \(-0.578964\pi\) |
0.999720 | + | 0.0236696i | \(0.00753498\pi\) | |||||||
\(12\) | 6888.57 | − | 14304.3i | 0.332203 | − | 0.689827i | ||||
\(13\) | −6526.90 | − | 28596.2i | −0.228525 | − | 1.00123i | −0.950843 | − | 0.309672i | \(-0.899781\pi\) |
0.722319 | − | 0.691560i | \(-0.243076\pi\) | |||||||
\(14\) | 13720.3 | + | 6607.34i | 0.357150 | + | 0.171994i | ||||
\(15\) | 2260.25 | + | 2834.26i | 0.0446469 | + | 0.0559854i | ||||
\(16\) | 11340.7 | − | 49686.9i | 0.173045 | − | 0.758161i | ||||
\(17\) | 17030.8 | − | 74617.0i | 0.203911 | − | 0.893392i | −0.764617 | − | 0.644485i | \(-0.777072\pi\) |
0.968528 | − | 0.248906i | \(-0.0800712\pi\) | |||||||
\(18\) | 39347.9 | + | 81706.7i | 0.374827 | + | 0.778337i | ||||
\(19\) | −10677.6 | + | 8515.14i | −0.0819334 | + | 0.0653397i | −0.663600 | − | 0.748088i | \(-0.730972\pi\) |
0.581667 | + | 0.813427i | \(0.302401\pi\) | |||||||
\(20\) | −16491.6 | − | 13151.6i | −0.103073 | − | 0.0821978i | ||||
\(21\) | 30287.1 | − | 14585.5i | 0.155733 | − | 0.0749970i | ||||
\(22\) | 181829. | + | 377573.i | 0.776199 | + | 1.61179i | ||||
\(23\) | −116904. | + | 146593.i | −0.417751 | + | 0.523843i | −0.945528 | − | 0.325540i | \(-0.894454\pi\) |
0.527778 | + | 0.849383i | \(0.323025\pi\) | |||||||
\(24\) | 36946.8 | + | 46329.8i | 0.111361 | + | 0.139642i | ||||
\(25\) | −347602. | + | 167396.i | −0.889860 | + | 0.428534i | ||||
\(26\) | 676674. | + | 154446.i | 1.48077 | + | 0.337975i | ||||
\(27\) | 529295. | + | 120808.i | 0.995963 | + | 0.227322i | ||||
\(28\) | −152927. | + | 121955.i | −0.248801 | + | 0.198412i | ||||
\(29\) | 75415.4 | − | 156602.i | 0.106627 | − | 0.221414i | −0.840828 | − | 0.541303i | \(-0.817931\pi\) |
0.947455 | + | 0.319889i | \(0.103646\pi\) | |||||||
\(30\) | −83631.7 | + | 19088.4i | −0.103249 | + | 0.0235659i | ||||
\(31\) | 267614. | + | 128876.i | 0.289776 | + | 0.139549i | 0.573124 | − | 0.819468i | \(-0.305731\pi\) |
−0.283349 | + | 0.959017i | \(0.591445\pi\) | |||||||
\(32\) | 1.16993e6 | + | 932988.i | 1.11573 | + | 0.889767i | ||||
\(33\) | 901899. | + | 205852.i | 0.760505 | + | 0.173580i | ||||
\(34\) | 1.41596e6 | + | 1.12919e6i | 1.05958 | + | 0.844987i | ||||
\(35\) | −9938.34 | − | 43542.7i | −0.00662280 | − | 0.0290164i | ||||
\(36\) | −1.16484e6 | −0.693516 | ||||||||
\(37\) | − | 890909.i | − | 0.475364i | −0.971343 | − | 0.237682i | \(-0.923612\pi\) | ||
0.971343 | − | 0.237682i | \(-0.0763877\pi\) | |||||||
\(38\) | −71912.5 | − | 315069.i | −0.0344882 | − | 0.151103i | ||||
\(39\) | 1.19788e6 | − | 955281.i | 0.517793 | − | 0.412926i | ||||
\(40\) | 70933.6 | − | 34159.8i | 0.0277084 | − | 0.0133437i | ||||
\(41\) | −1.32710e6 | − | 639096.i | −0.469642 | − | 0.226168i | 0.184067 | − | 0.982914i | \(-0.441074\pi\) |
−0.653709 | + | 0.756746i | \(0.726788\pi\) | |||||||
\(42\) | 795461.i | 0.255636i | ||||||||
\(43\) | −3.41261e6 | − | 205732.i | −0.998188 | − | 0.0601766i | ||||
\(44\) | −5.38281e6 | −1.43615 | ||||||||
\(45\) | 115401. | − | 239634.i | 0.0281424 | − | 0.0584383i | ||||
\(46\) | −1.92506e6 | − | 3.99743e6i | −0.429945 | − | 0.892789i | ||||
\(47\) | −1.33626e6 | − | 1.67562e6i | −0.273842 | − | 0.343387i | 0.625825 | − | 0.779963i | \(-0.284762\pi\) |
−0.899667 | + | 0.436577i | \(0.856191\pi\) | |||||||
\(48\) | 2.59542e6 | − | 592387.i | 0.488925 | − | 0.111594i | ||||
\(49\) | 5.35065e6 | 0.928158 | ||||||||
\(50\) | − | 9.12942e6i | − | 1.46071i | ||||||
\(51\) | 3.89766e6 | − | 889614.i | 0.576133 | − | 0.131499i | ||||
\(52\) | −5.55847e6 | + | 6.97010e6i | −0.760224 | + | 0.953291i | ||||
\(53\) | 2.62764e6 | − | 1.15124e7i | 0.333014 | − | 1.45903i | −0.480249 | − | 0.877132i | \(-0.659454\pi\) |
0.813263 | − | 0.581896i | \(-0.197689\pi\) | |||||||
\(54\) | −8.00988e6 | + | 1.00441e7i | −0.942001 | + | 1.18123i | ||||
\(55\) | 533278. | − | 1.10736e6i | 0.0582778 | − | 0.121015i | ||||
\(56\) | −162455. | − | 711763.i | −0.0165189 | − | 0.0723741i | ||||
\(57\) | −642744. | − | 309529.i | −0.0608890 | − | 0.0293226i | ||||
\(58\) | 2.56441e6 | + | 3.21567e6i | 0.226608 | + | 0.284157i | ||||
\(59\) | 1.98217e6 | − | 8.68446e6i | 0.163581 | − | 0.716696i | −0.824891 | − | 0.565292i | \(-0.808763\pi\) |
0.988472 | − | 0.151404i | \(-0.0483794\pi\) | |||||||
\(60\) | 245181. | − | 1.07421e6i | 0.0189183 | − | 0.0828866i | ||||
\(61\) | 5.06023e6 | + | 1.05077e7i | 0.365469 | + | 0.758905i | 0.999901 | − | 0.0140740i | \(-0.00448005\pi\) |
−0.634432 | + | 0.772979i | \(0.718766\pi\) | |||||||
\(62\) | −5.49520e6 | + | 4.38227e6i | −0.371892 | + | 0.296574i | ||||
\(63\) | −1.92829e6 | − | 1.53776e6i | −0.122408 | − | 0.0976170i | ||||
\(64\) | −2.01478e7 | + | 9.70269e6i | −1.20090 | + | 0.578325i | ||||
\(65\) | −883223. | − | 1.83403e6i | −0.0494785 | − | 0.102743i | ||||
\(66\) | −1.36485e7 | + | 1.71147e7i | −0.719300 | + | 0.901974i | ||||
\(67\) | −1.35377e6 | − | 1.69757e6i | −0.0671808 | − | 0.0842421i | 0.747106 | − | 0.664705i | \(-0.231443\pi\) |
−0.814286 | + | 0.580463i | \(0.802871\pi\) | |||||||
\(68\) | −2.09587e7 | + | 1.00932e7i | −0.980232 | + | 0.472055i | ||||
\(69\) | −9.54856e6 | − | 2.17940e6i | −0.421251 | − | 0.0961479i | ||||
\(70\) | 1.03035e6 | + | 235172.i | 0.0429136 | + | 0.00979474i | ||||
\(71\) | 7.25236e6 | − | 5.78357e6i | 0.285395 | − | 0.227595i | −0.470319 | − | 0.882496i | \(-0.655861\pi\) |
0.755714 | + | 0.654901i | \(0.227290\pi\) | |||||||
\(72\) | 1.88639e6 | − | 3.91713e6i | 0.0701942 | − | 0.145760i | ||||
\(73\) | 1.00650e7 | − | 2.29728e6i | 0.354424 | − | 0.0808951i | −0.0416017 | − | 0.999134i | \(-0.513246\pi\) |
0.396026 | + | 0.918239i | \(0.370389\pi\) | |||||||
\(74\) | 1.89939e7 | + | 9.14699e6i | 0.633414 | + | 0.305036i | ||||
\(75\) | −1.57562e7 | − | 1.25651e7i | −0.497973 | − | 0.397120i | ||||
\(76\) | 4.04692e6 | + | 923683.i | 0.121303 | + | 0.0276865i | ||||
\(77\) | −8.91075e6 | − | 7.10609e6i | −0.253484 | − | 0.202147i | ||||
\(78\) | 8.06759e6 | + | 3.53464e7i | 0.217954 | + | 0.954920i | ||||
\(79\) | 5.41691e7 | 1.39073 | 0.695366 | − | 0.718656i | \(-0.255242\pi\) | ||||
0.695366 | + | 0.718656i | \(0.255242\pi\) | |||||||
\(80\) | − | 3.53696e6i | − | 0.0863516i | ||||||
\(81\) | 715255. | + | 3.13373e6i | 0.0166158 | + | 0.0727985i | ||||
\(82\) | 2.72507e7 | − | 2.17317e7i | 0.602728 | − | 0.480660i | ||||
\(83\) | 3.52591e7 | − | 1.69799e7i | 0.742949 | − | 0.357785i | −0.0238136 | − | 0.999716i | \(-0.507581\pi\) |
0.766762 | + | 0.641931i | \(0.221867\pi\) | |||||||
\(84\) | −9.20549e6 | − | 4.43313e6i | −0.184897 | − | 0.0890417i | ||||
\(85\) | − | 5.31161e6i | − | 0.101754i | ||||||
\(86\) | 3.94234e7 | − | 7.06435e7i | 0.720710 | − | 1.29145i | ||||
\(87\) | 9.07930e6 | 0.158480 | ||||||||
\(88\) | 8.71714e6 | − | 1.81013e7i | 0.145359 | − | 0.301842i | ||||
\(89\) | −2.53778e7 | − | 5.26976e7i | −0.404478 | − | 0.839906i | −0.999349 | − | 0.0360853i | \(-0.988511\pi\) |
0.594871 | − | 0.803821i | \(-0.297203\pi\) | |||||||
\(90\) | 3.92408e6 | + | 4.92065e6i | 0.0598092 | + | 0.0749984i | ||||
\(91\) | −1.84031e7 | + | 4.20038e6i | −0.268364 | + | 0.0612524i | ||||
\(92\) | 5.69887e7 | 0.795496 | ||||||||
\(93\) | 1.55155e7i | 0.207411i | ||||||||
\(94\) | 4.94431e7 | − | 1.12851e7i | 0.633277 | − | 0.144541i | ||||
\(95\) | −590953. | + | 741031.i | −0.00725535 | + | 0.00909792i | ||||
\(96\) | −1.73934e7 | + | 7.62053e7i | −0.204785 | + | 0.897223i | ||||
\(97\) | −8.26743e6 | + | 1.03670e7i | −0.0933864 | + | 0.117103i | −0.826329 | − | 0.563188i | \(-0.809575\pi\) |
0.732943 | + | 0.680290i | \(0.238146\pi\) | |||||||
\(98\) | −5.49352e7 | + | 1.14074e8i | −0.595589 | + | 1.23675i | ||||
\(99\) | −1.51031e7 | − | 6.61711e7i | −0.157227 | − | 0.688855i | ||||
\(100\) | 1.05650e8 | + | 5.08786e7i | 1.05650 | + | 0.508786i | ||||
\(101\) | −4.16860e7 | − | 5.22726e7i | −0.400594 | − | 0.502329i | 0.540093 | − | 0.841606i | \(-0.318389\pi\) |
−0.940687 | + | 0.339277i | \(0.889818\pi\) | |||||||
\(102\) | −2.10510e7 | + | 9.22305e7i | −0.194479 | + | 0.852068i | ||||
\(103\) | −3.22961e7 | + | 1.41499e8i | −0.286947 | + | 1.25720i | 0.601744 | + | 0.798689i | \(0.294473\pi\) |
−0.888691 | + | 0.458507i | \(0.848384\pi\) | |||||||
\(104\) | −1.44374e7 | − | 2.99797e7i | −0.123412 | − | 0.256267i | ||||
\(105\) | 1.82399e6 | − | 1.45458e6i | 0.0150060 | − | 0.0119669i | ||||
\(106\) | 2.18464e8 | + | 1.74219e8i | 1.73044 | + | 1.37998i | ||||
\(107\) | −1.90599e8 | + | 9.17875e7i | −1.45407 | + | 0.700242i | −0.983296 | − | 0.182012i | \(-0.941739\pi\) |
−0.470772 | + | 0.882255i | \(0.656025\pi\) | |||||||
\(108\) | −7.15960e7 | − | 1.48671e8i | −0.526252 | − | 1.09277i | ||||
\(109\) | 4.51038e7 | − | 5.65584e7i | 0.319527 | − | 0.400674i | −0.595965 | − | 0.803010i | \(-0.703230\pi\) |
0.915492 | + | 0.402336i | \(0.131802\pi\) | |||||||
\(110\) | 1.81335e7 | + | 2.27387e7i | 0.123854 | + | 0.155308i | ||||
\(111\) | 4.19285e7 | − | 2.01917e7i | 0.276196 | − | 0.133009i | ||||
\(112\) | −3.19759e7 | − | 7.29830e6i | −0.203213 | − | 0.0463820i | ||||
\(113\) | −4.93356e7 | − | 1.12605e7i | −0.302584 | − | 0.0690629i | 0.0685331 | − | 0.997649i | \(-0.478168\pi\) |
−0.371117 | + | 0.928586i | \(0.621025\pi\) | |||||||
\(114\) | 1.31981e7 | − | 1.05252e7i | 0.0781436 | − | 0.0623174i | ||||
\(115\) | −5.64591e6 | + | 1.17238e7i | −0.0322807 | + | 0.0670315i | ||||
\(116\) | −5.15049e7 | + | 1.17557e7i | −0.284457 | + | 0.0649255i | ||||
\(117\) | −1.01280e8 | − | 4.87737e7i | −0.540479 | − | 0.260281i | ||||
\(118\) | 1.64799e8 | + | 1.31423e8i | 0.850016 | + | 0.677865i | ||||
\(119\) | −4.80197e7 | − | 1.09602e7i | −0.239459 | − | 0.0546550i | ||||
\(120\) | 3.21530e6 | + | 2.56412e6i | 0.0155059 | + | 0.0123655i | ||||
\(121\) | −2.20933e7 | − | 9.67970e7i | −0.103067 | − | 0.451565i | ||||
\(122\) | −2.75974e8 | −1.24574 | ||||||||
\(123\) | − | 7.69411e7i | − | 0.336154i | ||||||
\(124\) | −2.00890e7 | − | 8.80159e7i | −0.0849714 | − | 0.372284i | ||||
\(125\) | −4.21288e7 | + | 3.35966e7i | −0.172559 | + | 0.137612i | ||||
\(126\) | 5.25823e7 | − | 2.53223e7i | 0.208621 | − | 0.100466i | ||||
\(127\) | −1.03599e8 | − | 4.98905e7i | −0.398235 | − | 0.191780i | 0.224037 | − | 0.974581i | \(-0.428076\pi\) |
−0.622273 | + | 0.782801i | \(0.713791\pi\) | |||||||
\(128\) | − | 1.46086e8i | − | 0.544212i | ||||||
\(129\) | −6.76615e7 | − | 1.65269e8i | −0.244333 | − | 0.596804i | ||||
\(130\) | 4.81691e7 | 0.168653 | ||||||||
\(131\) | 4.07419e7 | − | 8.46014e7i | 0.138343 | − | 0.287271i | −0.820274 | − | 0.571970i | \(-0.806179\pi\) |
0.958617 | + | 0.284699i | \(0.0918936\pi\) | |||||||
\(132\) | −1.21997e8 | − | 2.53329e8i | −0.401839 | − | 0.834428i | ||||
\(133\) | 5.47991e6 | + | 6.87159e6i | 0.0175133 | + | 0.0219609i | ||||
\(134\) | 5.00909e7 | − | 1.14329e7i | 0.155360 | − | 0.0354599i | ||||
\(135\) | 3.76779e7 | 0.113436 | ||||||||
\(136\) | − | 8.68253e7i | − | 0.253799i | ||||||
\(137\) | −3.65714e8 | + | 8.34719e7i | −1.03815 | + | 0.236951i | −0.707434 | − | 0.706780i | \(-0.750147\pi\) |
−0.330715 | + | 0.943731i | \(0.607290\pi\) | |||||||
\(138\) | 1.44499e8 | − | 1.81196e8i | 0.398428 | − | 0.499612i | ||||
\(139\) | 6.90390e7 | − | 3.02480e8i | 0.184942 | − | 0.810284i | −0.794290 | − | 0.607539i | \(-0.792157\pi\) |
0.979232 | − | 0.202744i | \(-0.0649861\pi\) | |||||||
\(140\) | −8.46373e6 | + | 1.06132e7i | −0.0220318 | + | 0.0276270i | ||||
\(141\) | 4.85737e7 | − | 1.00864e8i | 0.122892 | − | 0.255188i | ||||
\(142\) | 4.88437e7 | + | 2.13998e8i | 0.120131 | + | 0.526328i | ||||
\(143\) | −4.68021e8 | − | 2.25387e8i | −1.11923 | − | 0.538995i | ||||
\(144\) | −1.21780e8 | − | 1.52707e8i | −0.283221 | − | 0.355148i | ||||
\(145\) | 2.68422e6 | − | 1.17603e7i | 0.00607221 | − | 0.0266041i | ||||
\(146\) | −5.43607e7 | + | 2.38170e8i | −0.119639 | + | 0.524173i | ||||
\(147\) | 1.21268e8 | + | 2.51815e8i | 0.259702 | + | 0.539278i | ||||
\(148\) | −2.11708e8 | + | 1.68831e8i | −0.441255 | + | 0.351889i | ||||
\(149\) | 2.42201e8 | + | 1.93149e8i | 0.491395 | + | 0.391874i | 0.837600 | − | 0.546285i | \(-0.183958\pi\) |
−0.346205 | + | 0.938159i | \(0.612530\pi\) | |||||||
\(150\) | 4.29654e8 | − | 2.06910e8i | 0.848699 | − | 0.408712i | ||||
\(151\) | 1.61841e8 | + | 3.36067e8i | 0.311302 | + | 0.646425i | 0.996649 | − | 0.0817911i | \(-0.0260640\pi\) |
−0.685348 | + | 0.728216i | \(0.740350\pi\) | |||||||
\(152\) | −9.65991e6 | + | 1.21131e7i | −0.0180967 | + | 0.0226925i | ||||
\(153\) | −1.82882e8 | − | 2.29327e8i | −0.333738 | − | 0.418494i | ||||
\(154\) | 2.42986e8 | − | 1.17016e8i | 0.432015 | − | 0.208048i | ||||
\(155\) | 2.00971e7 | + | 4.58702e6i | 0.0348181 | + | 0.00794701i | ||||
\(156\) | −4.54008e8 | − | 1.03624e8i | −0.766594 | − | 0.174970i | ||||
\(157\) | 6.05723e8 | − | 4.83048e8i | 0.996954 | − | 0.795044i | 0.0181485 | − | 0.999835i | \(-0.494223\pi\) |
0.978806 | + | 0.204791i | \(0.0656514\pi\) | |||||||
\(158\) | −5.56156e8 | + | 1.15487e9i | −0.892417 | + | 1.85312i | ||||
\(159\) | 6.01358e8 | − | 1.37256e8i | 0.940902 | − | 0.214755i | ||||
\(160\) | 9.35659e7 | + | 4.50590e7i | 0.142770 | + | 0.0687545i | ||||
\(161\) | 9.43396e7 | + | 7.52334e7i | 0.140408 | + | 0.111971i | ||||
\(162\) | −7.41538e7 | − | 1.69251e7i | −0.107665 | − | 0.0245738i | ||||
\(163\) | 7.95271e8 | + | 6.34207e8i | 1.12659 | + | 0.898423i | 0.995669 | − | 0.0929700i | \(-0.0296361\pi\) |
0.130918 | + | 0.991393i | \(0.458207\pi\) | |||||||
\(164\) | 9.96216e7 | + | 4.36471e8i | 0.137714 | + | 0.603364i | ||||
\(165\) | 6.42017e7 | 0.0866185 | ||||||||
\(166\) | 9.26046e8i | 1.21955i | ||||||||
\(167\) | 1.23540e8 | + | 5.41263e8i | 0.158833 | + | 0.695893i | 0.990140 | + | 0.140080i | \(0.0447360\pi\) |
−0.831307 | + | 0.555813i | \(0.812407\pi\) | |||||||
\(168\) | 2.98155e7 | − | 2.37771e7i | 0.0374287 | − | 0.0298484i | ||||
\(169\) | −4.01945e7 | + | 1.93567e7i | −0.0492742 | + | 0.0237292i | ||||
\(170\) | 1.13242e8 | + | 5.45344e7i | 0.135585 | + | 0.0652943i | ||||
\(171\) | 5.23406e7i | 0.0612145i | ||||||||
\(172\) | 5.97815e8 | + | 8.49927e8i | 0.683051 | + | 0.971109i | ||||
\(173\) | −5.78075e8 | −0.645357 | −0.322679 | − | 0.946509i | \(-0.604583\pi\) | ||||
−0.322679 | + | 0.946509i | \(0.604583\pi\) | |||||||
\(174\) | −9.32174e7 | + | 1.93568e8i | −0.101695 | + | 0.211172i | ||||
\(175\) | 1.07728e8 | + | 2.23699e8i | 0.114862 | + | 0.238513i | ||||
\(176\) | −5.62753e8 | − | 7.05670e8i | −0.586499 | − | 0.735446i | ||||
\(177\) | 4.53637e8 | − | 1.03540e8i | 0.462185 | − | 0.105491i | ||||
\(178\) | 1.38405e9 | 1.37871 | ||||||||
\(179\) | − | 9.47397e8i | − | 0.922826i | −0.887185 | − | 0.461413i | \(-0.847343\pi\) | ||
0.887185 | − | 0.461413i | \(-0.152657\pi\) | |||||||
\(180\) | −7.88134e7 | + | 1.79886e7i | −0.0750775 | + | 0.0171360i | ||||
\(181\) | −9.98130e7 | + | 1.25162e8i | −0.0929978 | + | 0.116616i | −0.826153 | − | 0.563446i | \(-0.809475\pi\) |
0.733155 | + | 0.680061i | \(0.238047\pi\) | |||||||
\(182\) | 9.93939e7 | − | 4.35473e8i | 0.0905887 | − | 0.396895i | ||||
\(183\) | −3.79833e8 | + | 4.76295e8i | −0.338679 | + | 0.424690i | ||||
\(184\) | −9.22898e7 | + | 1.91642e8i | −0.0805161 | + | 0.167193i | ||||
\(185\) | −1.37583e7 | − | 6.02792e7i | −0.0117457 | − | 0.0514612i | ||||
\(186\) | −3.30785e8 | − | 1.59298e8i | −0.276372 | − | 0.133094i | ||||
\(187\) | −8.45111e8 | − | 1.05974e9i | −0.691110 | − | 0.866625i | ||||
\(188\) | −1.44951e8 | + | 6.35073e8i | −0.116035 | + | 0.508385i | ||||
\(189\) | 7.77460e7 | − | 3.40628e8i | 0.0609300 | − | 0.266952i | ||||
\(190\) | −9.73124e6 | − | 2.02071e7i | −0.00746713 | − | 0.0155057i | ||||
\(191\) | 1.99586e9 | − | 1.59165e9i | 1.49968 | − | 1.19595i | 0.573302 | − | 0.819344i | \(-0.305662\pi\) |
0.926373 | − | 0.376607i | \(-0.122909\pi\) | |||||||
\(192\) | −9.13267e8 | − | 7.28306e8i | −0.672036 | − | 0.535931i | ||||
\(193\) | −1.04727e9 | + | 5.04341e8i | −0.754798 | + | 0.363492i | −0.771383 | − | 0.636371i | \(-0.780435\pi\) |
0.0165849 | + | 0.999862i | \(0.494721\pi\) | |||||||
\(194\) | −1.36140e8 | − | 2.82698e8i | −0.0961122 | − | 0.199579i | ||||
\(195\) | 6.62967e7 | − | 8.31335e7i | 0.0458515 | − | 0.0574960i | ||||
\(196\) | −1.01397e9 | − | 1.27148e9i | −0.687070 | − | 0.861559i | ||||
\(197\) | 6.19917e8 | − | 2.98536e8i | 0.411593 | − | 0.198213i | −0.216617 | − | 0.976257i | \(-0.569502\pi\) |
0.628210 | + | 0.778044i | \(0.283788\pi\) | |||||||
\(198\) | 1.56581e9 | + | 3.57386e8i | 1.01878 | + | 0.232529i | ||||
\(199\) | 2.61932e9 | + | 5.97844e8i | 1.67023 | + | 0.381220i | 0.949936 | − | 0.312446i | \(-0.101148\pi\) |
0.720297 | + | 0.693666i | \(0.244005\pi\) | |||||||
\(200\) | −3.42189e8 | + | 2.72887e8i | −0.213868 | + | 0.170554i | ||||
\(201\) | 4.92101e7 | − | 1.02186e8i | 0.0301488 | − | 0.0626046i | ||||
\(202\) | 1.54243e9 | − | 3.52049e8i | 0.926401 | − | 0.211445i | ||||
\(203\) | −1.00781e8 | − | 4.85335e7i | −0.0593463 | − | 0.0285797i | ||||
\(204\) | −9.50022e8 | − | 7.57618e8i | −0.548546 | − | 0.437451i | ||||
\(205\) | −9.96613e7 | − | 2.27470e7i | −0.0564301 | − | 0.0128798i | ||||
\(206\) | −2.68512e9 | − | 2.14131e9i | −1.49106 | − | 1.18908i | ||||
\(207\) | 1.59899e8 | + | 7.00565e8i | 0.0870894 | + | 0.381564i | ||||
\(208\) | −1.49488e9 | −0.798641 | ||||||||
\(209\) | 2.41870e8i | 0.126764i | ||||||||
\(210\) | 1.22843e7 | + | 5.38211e7i | 0.00631646 | + | 0.0276742i | ||||
\(211\) | −1.54640e9 | + | 1.23321e9i | −0.780175 | + | 0.622169i | −0.930426 | − | 0.366479i | \(-0.880563\pi\) |
0.150251 | + | 0.988648i | \(0.451992\pi\) | |||||||
\(212\) | −3.23366e9 | + | 1.55725e9i | −1.60085 | + | 0.770929i | ||||
\(213\) | 4.36558e8 | + | 2.10235e8i | 0.212092 | + | 0.102138i | ||||
\(214\) | − | 5.00589e9i | − | 2.38686i | ||||||
\(215\) | −2.34075e8 | + | 3.87810e7i | −0.109547 | + | 0.0181495i | ||||
\(216\) | 6.15895e8 | 0.282938 | ||||||||
\(217\) | 8.29381e7 | − | 1.72223e8i | 0.0374037 | − | 0.0776696i | ||||
\(218\) | 7.42726e8 | + | 1.54229e9i | 0.328854 | + | 0.682872i | ||||
\(219\) | 3.36231e8 | + | 4.21620e8i | 0.146171 | + | 0.183293i | ||||
\(220\) | −3.64202e8 | + | 8.31268e7i | −0.155472 | + | 0.0354855i | ||||
\(221\) | −2.24492e9 | −0.941092 | ||||||||
\(222\) | 1.10121e9i | 0.453376i | ||||||||
\(223\) | −4.25953e9 | + | 9.72209e8i | −1.72243 | + | 0.393134i | −0.965509 | − | 0.260371i | \(-0.916155\pi\) |
−0.756922 | + | 0.653505i | \(0.773298\pi\) | |||||||
\(224\) | 6.00424e8 | − | 7.52908e8i | 0.238488 | − | 0.299054i | ||||
\(225\) | −3.29018e8 | + | 1.44152e9i | −0.128378 | + | 0.562459i | ||||
\(226\) | 7.46601e8 | − | 9.36208e8i | 0.286190 | − | 0.358871i | ||||
\(227\) | −1.33062e9 | + | 2.76307e9i | −0.501132 | + | 1.04061i | 0.484980 | + | 0.874525i | \(0.338827\pi\) |
−0.986111 | + | 0.166085i | \(0.946887\pi\) | |||||||
\(228\) | 4.82491e7 | + | 2.11393e8i | 0.0178546 | + | 0.0782260i | ||||
\(229\) | −4.28395e8 | − | 2.06304e8i | −0.155777 | − | 0.0750181i | 0.354371 | − | 0.935105i | \(-0.384695\pi\) |
−0.510148 | + | 0.860087i | \(0.670409\pi\) | |||||||
\(230\) | −1.91982e8 | − | 2.40738e8i | −0.0686040 | − | 0.0860267i | ||||
\(231\) | 1.32476e8 | − | 5.80416e8i | 0.0465254 | − | 0.203841i | ||||
\(232\) | 4.38772e7 | − | 1.92238e8i | 0.0151456 | − | 0.0663572i | ||||
\(233\) | 1.74253e9 | + | 3.61841e9i | 0.591231 | + | 1.22770i | 0.955108 | + | 0.296258i | \(0.0957387\pi\) |
−0.363877 | + | 0.931447i | \(0.618547\pi\) | |||||||
\(234\) | 2.07968e9 | − | 1.65849e9i | 0.693639 | − | 0.553159i | ||||
\(235\) | −1.16288e8 | − | 9.27368e7i | −0.0381298 | − | 0.0304075i | ||||
\(236\) | −2.43933e9 | + | 1.17472e9i | −0.786361 | + | 0.378692i | ||||
\(237\) | 1.22770e9 | + | 2.54934e9i | 0.389133 | + | 0.808042i | ||||
\(238\) | 7.26687e8 | − | 9.11237e8i | 0.226485 | − | 0.284003i | ||||
\(239\) | 3.04871e8 | + | 3.82296e8i | 0.0934382 | + | 0.117168i | 0.826353 | − | 0.563153i | \(-0.190412\pi\) |
−0.732914 | + | 0.680321i | \(0.761840\pi\) | |||||||
\(240\) | 1.66458e8 | − | 8.01622e7i | 0.0501719 | − | 0.0241615i | ||||
\(241\) | −1.03782e9 | − | 2.36876e8i | −0.307648 | − | 0.0702187i | 0.0659096 | − | 0.997826i | \(-0.479005\pi\) |
−0.373558 | + | 0.927607i | \(0.621862\pi\) | |||||||
\(242\) | 2.29052e9 | + | 5.22795e8i | 0.667839 | + | 0.152430i | ||||
\(243\) | 2.65362e9 | − | 2.11619e9i | 0.761052 | − | 0.606919i | ||||
\(244\) | 1.53801e9 | − | 3.19372e9i | 0.433911 | − | 0.901026i | ||||
\(245\) | 3.62026e8 | − | 8.26301e7i | 0.100479 | − | 0.0229337i | ||||
\(246\) | 1.64036e9 | + | 7.89957e8i | 0.447919 | + | 0.215706i | ||||
\(247\) | 3.13193e8 | + | 2.49763e8i | 0.0841441 | + | 0.0671027i | ||||
\(248\) | 3.28513e8 | + | 7.49809e7i | 0.0868452 | + | 0.0198218i | ||||
\(249\) | 1.59823e9 | + | 1.27455e9i | 0.415760 | + | 0.331558i | ||||
\(250\) | −2.83732e8 | − | 1.24311e9i | −0.0726353 | − | 0.318236i | ||||
\(251\) | −4.42727e9 | −1.11543 | −0.557713 | − | 0.830034i | \(-0.688321\pi\) | ||||
−0.557713 | + | 0.830034i | \(0.688321\pi\) | |||||||
\(252\) | 7.49632e8i | 0.185886i | ||||||||
\(253\) | 7.38907e8 | + | 3.23736e9i | 0.180346 | + | 0.790149i | ||||
\(254\) | 2.12730e9 | − | 1.69647e9i | 0.511086 | − | 0.407578i | ||||
\(255\) | 2.49978e8 | − | 1.20383e8i | 0.0591209 | − | 0.0284711i | ||||
\(256\) | −2.04334e9 | − | 9.84021e8i | −0.475752 | − | 0.229110i | ||||
\(257\) | − | 4.21190e9i | − | 0.965485i | −0.875762 | − | 0.482742i | \(-0.839641\pi\) | ||
0.875762 | − | 0.482742i | \(-0.160359\pi\) | |||||||
\(258\) | 4.21816e9 | + | 2.54295e8i | 0.952016 | + | 0.0573931i | ||||
\(259\) | −5.73344e8 | −0.127414 | ||||||||
\(260\) | −2.68448e8 | + | 5.57438e8i | −0.0587444 | + | 0.121984i | ||||
\(261\) | −2.89026e8 | − | 6.00168e8i | −0.0622837 | − | 0.129333i | ||||
\(262\) | 1.38538e9 | + | 1.73721e9i | 0.294011 | + | 0.368678i | ||||
\(263\) | 5.48643e8 | − | 1.25224e8i | 0.114674 | − | 0.0261737i | −0.164799 | − | 0.986327i | \(-0.552697\pi\) |
0.279473 | + | 0.960154i | \(0.409840\pi\) | |||||||
\(264\) | 1.04946e9 | 0.216048 | ||||||||
\(265\) | − | 8.19513e8i | − | 0.166178i | ||||||
\(266\) | −2.02763e8 | + | 4.62792e7i | −0.0405006 | + | 0.00924400i | ||||
\(267\) | 1.90492e9 | − | 2.38869e9i | 0.374827 | − | 0.470019i | ||||
\(268\) | −1.46851e8 | + | 6.43395e8i | −0.0284667 | + | 0.124721i | ||||
\(269\) | −4.63085e9 | + | 5.80690e9i | −0.884405 | + | 1.10901i | 0.108964 | + | 0.994046i | \(0.465247\pi\) |
−0.993370 | + | 0.114964i | \(0.963325\pi\) | |||||||
\(270\) | −3.86840e8 | + | 8.03282e8i | −0.0727908 | + | 0.151152i | ||||
\(271\) | −1.64403e9 | − | 7.20297e9i | −0.304812 | − | 1.33547i | −0.862768 | − | 0.505600i | \(-0.831271\pi\) |
0.557956 | − | 0.829871i | \(-0.311586\pi\) | |||||||
\(272\) | −3.51434e9 | − | 1.69242e9i | −0.642049 | − | 0.309195i | ||||
\(273\) | −6.14770e8 | − | 7.70897e8i | −0.110678 | − | 0.138786i | ||||
\(274\) | 1.97520e9 | − | 8.65392e9i | 0.350436 | − | 1.53536i | ||||
\(275\) | −1.52041e9 | + | 6.66137e9i | −0.265847 | + | 1.16475i | ||||
\(276\) | 1.29160e9 | + | 2.68204e9i | 0.222583 | + | 0.462198i | ||||
\(277\) | −3.87938e9 | + | 3.09370e9i | −0.658936 | + | 0.525484i | −0.894894 | − | 0.446279i | \(-0.852749\pi\) |
0.235958 | + | 0.971763i | \(0.424177\pi\) | |||||||
\(278\) | 5.73995e9 | + | 4.57746e9i | 0.961012 | + | 0.766382i | ||||
\(279\) | 1.02562e9 | − | 4.93911e8i | 0.169265 | − | 0.0815140i | ||||
\(280\) | −2.19835e7 | − | 4.56493e7i | −0.00357656 | − | 0.00742680i | ||||
\(281\) | −2.63153e9 | + | 3.29983e9i | −0.422069 | + | 0.529257i | −0.946719 | − | 0.322060i | \(-0.895625\pi\) |
0.524651 | + | 0.851318i | \(0.324196\pi\) | |||||||
\(282\) | 1.65169e9 | + | 2.07115e9i | 0.261175 | + | 0.327503i | ||||
\(283\) | 9.03084e9 | − | 4.34902e9i | 1.40793 | − | 0.678025i | 0.433180 | − | 0.901307i | \(-0.357391\pi\) |
0.974754 | + | 0.223282i | \(0.0716771\pi\) | |||||||
\(284\) | −2.74871e9 | − | 6.27375e8i | −0.422528 | − | 0.0964392i | ||||
\(285\) | −4.82683e7 | − | 1.10169e7i | −0.00731615 | − | 0.00166986i | ||||
\(286\) | 9.61036e9 | − | 7.66401e9i | 1.43640 | − | 1.14549i | ||||
\(287\) | −4.11290e8 | + | 8.54052e8i | −0.0606206 | + | 0.125880i | ||||
\(288\) | 5.59108e9 | − | 1.27613e9i | 0.812692 | − | 0.185492i | ||||
\(289\) | 1.00730e9 | + | 4.85089e8i | 0.144400 | + | 0.0695393i | ||||
\(290\) | 2.23168e8 | + | 1.77971e8i | 0.0315530 | + | 0.0251626i | ||||
\(291\) | −6.75273e8 | − | 1.54127e8i | −0.0941689 | − | 0.0214934i | ||||
\(292\) | −2.45327e9 | − | 1.95642e9i | −0.337454 | − | 0.269110i | ||||
\(293\) | 2.15531e9 | + | 9.44303e9i | 0.292442 | + | 1.28127i | 0.881116 | + | 0.472900i | \(0.156793\pi\) |
−0.588674 | + | 0.808370i | \(0.700350\pi\) | |||||||
\(294\) | −6.61368e9 | −0.885226 | ||||||||
\(295\) | − | 6.18204e8i | − | 0.0816288i | ||||||
\(296\) | −2.24898e8 | − | 9.85343e8i | −0.0292967 | − | 0.128357i | ||||
\(297\) | 7.51723e9 | − | 5.99479e9i | 0.966123 | − | 0.770457i | ||||
\(298\) | −6.60456e9 | + | 3.18059e9i | −0.837488 | + | 0.403313i | ||||
\(299\) | 4.95502e9 | + | 2.38621e9i | 0.619955 | + | 0.298555i | ||||
\(300\) | 6.12530e9i | 0.756210i | ||||||||
\(301\) | −1.32399e8 | + | 2.19618e9i | −0.0161294 | + | 0.267548i | ||||
\(302\) | −8.82648e9 | −1.06111 | ||||||||
\(303\) | 1.51530e9 | − | 3.14656e9i | 0.179775 | − | 0.373307i | ||||
\(304\) | 3.01999e8 | + | 6.27106e8i | 0.0353599 | + | 0.0734255i | ||||
\(305\) | 5.04647e8 | + | 6.32807e8i | 0.0583160 | + | 0.0731260i | ||||
\(306\) | 6.76683e9 | − | 1.54449e9i | 0.771791 | − | 0.176156i | ||||
\(307\) | 1.57298e9 | 0.177080 | 0.0885398 | − | 0.996073i | \(-0.471780\pi\) | ||||
0.0885398 | + | 0.996073i | \(0.471780\pi\) | |||||||
\(308\) | 3.46410e9i | 0.384935i | ||||||||
\(309\) | −7.39125e9 | + | 1.68700e9i | −0.810744 | + | 0.185047i | ||||
\(310\) | −3.04131e8 | + | 3.81368e8i | −0.0329317 | + | 0.0412950i | ||||
\(311\) | 2.27824e9 | − | 9.98160e9i | 0.243533 | − | 1.06699i | −0.694242 | − | 0.719742i | \(-0.744260\pi\) |
0.937775 | − | 0.347245i | \(-0.112883\pi\) | |||||||
\(312\) | 1.08371e9 | − | 1.35893e9i | 0.114365 | − | 0.143409i | ||||
\(313\) | −6.13991e9 | + | 1.27497e10i | −0.639712 | + | 1.32838i | 0.288913 | + | 0.957356i | \(0.406706\pi\) |
−0.928625 | + | 0.371020i | \(0.879008\pi\) | |||||||
\(314\) | 4.07946e9 | + | 1.78733e10i | 0.419647 | + | 1.83859i | ||||
\(315\) | −1.54216e8 | − | 7.42665e7i | −0.0156634 | − | 0.00754311i | ||||
\(316\) | −1.02653e10 | − | 1.28723e10i | −1.02949 | − | 1.29094i | ||||
\(317\) | 4.08668e9 | − | 1.79049e10i | 0.404701 | − | 1.77311i | −0.203243 | − | 0.979128i | \(-0.565148\pi\) |
0.607943 | − | 0.793981i | \(-0.291995\pi\) | |||||||
\(318\) | −3.24790e9 | + | 1.42300e10i | −0.317610 | + | 1.39154i | ||||
\(319\) | −1.33561e9 | − | 2.77342e9i | −0.128978 | − | 0.267826i | ||||
\(320\) | −1.21337e9 | + | 9.67629e8i | −0.115716 | + | 0.0922803i | ||||
\(321\) | −8.63951e9 | − | 6.88978e9i | −0.813709 | − | 0.648911i | ||||
\(322\) | −2.57254e9 | + | 1.23887e9i | −0.239298 | + | 0.115240i | ||||
\(323\) | 4.53525e8 | + | 9.41753e8i | 0.0416669 | + | 0.0865221i | ||||
\(324\) | 6.09128e8 | − | 7.63823e8i | 0.0552750 | − | 0.0693127i | ||||
\(325\) | 7.05565e9 | + | 8.84751e9i | 0.632417 | + | 0.793026i | ||||
\(326\) | −2.16862e10 | + | 1.04435e10i | −1.92005 | + | 0.924648i | ||||
\(327\) | 3.68402e9 | + | 8.40854e8i | 0.322204 | + | 0.0735410i | ||||
\(328\) | −1.62910e9 | − | 3.71830e8i | −0.140751 | − | 0.0321255i | ||||
\(329\) | −1.07834e9 | + | 8.59949e8i | −0.0920392 | + | 0.0733988i | ||||
\(330\) | −6.59160e8 | + | 1.36876e9i | −0.0555821 | + | 0.115417i | ||||
\(331\) | 1.53457e10 | − | 3.50256e9i | 1.27842 | − | 0.291792i | 0.471194 | − | 0.882029i | \(-0.343823\pi\) |
0.807230 | + | 0.590237i | \(0.200966\pi\) | |||||||
\(332\) | −1.07167e10 | − | 5.16089e9i | −0.882081 | − | 0.424788i | ||||
\(333\) | −2.66946e9 | − | 2.12882e9i | −0.217093 | − | 0.173126i | ||||
\(334\) | −1.28080e10 | − | 2.92333e9i | −1.02919 | − | 0.234905i | ||||
\(335\) | −1.17812e8 | − | 9.39519e7i | −0.00935428 | − | 0.00745979i | ||||
\(336\) | −3.81230e8 | − | 1.67028e9i | −0.0299110 | − | 0.131049i | ||||
\(337\) | −1.82421e10 | −1.41435 | −0.707173 | − | 0.707040i | \(-0.750030\pi\) | ||||
−0.707173 | + | 0.707040i | \(0.750030\pi\) | |||||||
\(338\) | − | 1.05567e9i | − | 0.0808838i | ||||||
\(339\) | −5.88199e8 | − | 2.57707e9i | −0.0445375 | − | 0.195131i | ||||
\(340\) | −1.26220e9 | + | 1.00657e9i | −0.0944525 | + | 0.0753233i | ||||
\(341\) | 4.73945e9 | − | 2.28240e9i | 0.350518 | − | 0.168801i | ||||
\(342\) | −1.11589e9 | − | 5.37383e8i | −0.0815672 | − | 0.0392807i | ||||
\(343\) | − | 7.15334e9i | − | 0.516812i | ||||||
\(344\) | −3.82626e9 | + | 6.33927e8i | −0.273238 | + | 0.0452695i | ||||
\(345\) | −6.79714e8 | −0.0479789 | ||||||||
\(346\) | 5.93512e9 | − | 1.23244e10i | 0.414119 | − | 0.859926i | ||||
\(347\) | −6.08936e9 | − | 1.26447e10i | −0.420005 | − | 0.872148i | −0.998408 | − | 0.0563978i | \(-0.982038\pi\) |
0.578404 | − | 0.815751i | \(-0.303676\pi\) | |||||||
\(348\) | −1.72057e9 | − | 2.15752e9i | −0.117315 | − | 0.147109i | ||||
\(349\) | −2.52169e9 | + | 5.75560e8i | −0.169977 | + | 0.0387962i | −0.306662 | − | 0.951818i | \(-0.599212\pi\) |
0.136685 | + | 0.990615i | \(0.456355\pi\) | |||||||
\(350\) | −5.87523e9 | −0.391519 | ||||||||
\(351\) | − | 1.59243e10i | − | 1.04914i | ||||||
\(352\) | 2.58368e10 | − | 5.89708e9i | 1.68294 | − | 0.384120i | ||||
\(353\) | 1.70163e10 | − | 2.13378e10i | 1.09589 | − | 1.37420i | 0.174916 | − | 0.984583i | \(-0.444035\pi\) |
0.920975 | − | 0.389621i | \(-0.127394\pi\) | |||||||
\(354\) | −2.45007e9 | + | 1.07345e10i | −0.156015 | + | 0.683545i | ||||
\(355\) | 4.01381e8 | − | 5.03316e8i | 0.0252722 | − | 0.0316904i | ||||
\(356\) | −7.71337e9 | + | 1.60170e10i | −0.480224 | + | 0.997196i | ||||
\(357\) | −5.72511e8 | − | 2.50833e9i | −0.0352461 | − | 0.154423i | ||||
\(358\) | 2.01982e10 | + | 9.72695e9i | 1.22965 | + | 0.592167i | ||||
\(359\) | −1.25036e10 | − | 1.56790e10i | −0.752759 | − | 0.943930i | 0.246926 | − | 0.969034i | \(-0.420580\pi\) |
−0.999685 | + | 0.0251044i | \(0.992008\pi\) | |||||||
\(360\) | 6.71413e7 | − | 2.94165e8i | 0.00399742 | − | 0.0175138i | ||||
\(361\) | −3.73769e9 | + | 1.63759e10i | −0.220077 | + | 0.964221i | ||||
\(362\) | −1.64362e9 | − | 3.41302e9i | −0.0957123 | − | 0.198749i | ||||
\(363\) | 4.05479e9 | − | 3.23359e9i | 0.233530 | − | 0.186234i | ||||
\(364\) | 4.48560e9 | + | 3.57715e9i | 0.255514 | + | 0.203766i | ||||
\(365\) | 6.45526e8 | − | 3.10869e8i | 0.0363699 | − | 0.0175148i | ||||
\(366\) | −6.25471e9 | − | 1.29880e10i | −0.348564 | − | 0.723802i | ||||
\(367\) | 9.01414e9 | − | 1.13034e10i | 0.496890 | − | 0.623080i | −0.468635 | − | 0.883392i | \(-0.655254\pi\) |
0.965525 | + | 0.260312i | \(0.0838254\pi\) | |||||||
\(368\) | 5.95796e9 | + | 7.47105e9i | 0.324868 | + | 0.407371i | ||||
\(369\) | −5.08603e9 | + | 2.44930e9i | −0.274330 | + | 0.132110i | ||||
\(370\) | 1.42639e9 | + | 3.25564e8i | 0.0761082 | + | 0.0173712i | ||||
\(371\) | −7.40882e9 | − | 1.69101e9i | −0.391069 | − | 0.0892589i | ||||
\(372\) | 3.68695e9 | − | 2.94025e9i | 0.192529 | − | 0.153537i | ||||
\(373\) | 3.03309e9 | − | 6.29827e9i | 0.156693 | − | 0.325376i | −0.807812 | − | 0.589440i | \(-0.799349\pi\) |
0.964505 | + | 0.264064i | \(0.0850629\pi\) | |||||||
\(374\) | 3.12700e10 | − | 7.13718e9i | 1.59824 | − | 0.364788i | ||||
\(375\) | −2.53595e9 | − | 1.22125e9i | −0.128238 | − | 0.0617561i | ||||
\(376\) | −1.90089e9 | − | 1.51591e9i | −0.0951053 | − | 0.0758439i | ||||
\(377\) | −4.97044e9 | − | 1.13447e9i | −0.246054 | − | 0.0561601i | ||||
\(378\) | 6.46386e9 | + | 5.15475e9i | 0.316610 | + | 0.252488i | ||||
\(379\) | 4.25774e9 | + | 1.86544e10i | 0.206358 | + | 0.904115i | 0.966966 | + | 0.254904i | \(0.0820438\pi\) |
−0.760608 | + | 0.649211i | \(0.775099\pi\) | |||||||
\(380\) | 2.88080e8 | 0.0138159 | ||||||||
\(381\) | − | 6.00635e9i | − | 0.285043i | ||||||
\(382\) | 1.34419e10 | + | 5.88927e10i | 0.631257 | + | 2.76572i | ||||
\(383\) | 1.75431e10 | − | 1.39902e10i | 0.815288 | − | 0.650171i | −0.124389 | − | 0.992234i | \(-0.539697\pi\) |
0.939677 | + | 0.342063i | \(0.111126\pi\) | |||||||
\(384\) | 6.87518e9 | − | 3.31091e9i | 0.316198 | − | 0.152273i | ||||
\(385\) | −7.12643e8 | − | 3.43191e8i | −0.0324361 | − | 0.0156204i | ||||
\(386\) | − | 2.75056e10i | − | 1.23900i | ||||||
\(387\) | −8.77084e9 | + | 9.73370e9i | −0.391019 | + | 0.433944i | ||||
\(388\) | 4.03024e9 | 0.177830 | ||||||||
\(389\) | −7.65121e9 | + | 1.58879e10i | −0.334143 | + | 0.693854i | −0.998568 | − | 0.0535005i | \(-0.982962\pi\) |
0.664425 | + | 0.747355i | \(0.268676\pi\) | |||||||
\(390\) | 1.09171e9 | + | 2.26696e9i | 0.0471899 | + | 0.0979908i | ||||
\(391\) | 8.94734e9 | + | 1.12196e10i | 0.382813 | + | 0.480032i | ||||
\(392\) | 5.91779e9 | − | 1.35070e9i | 0.250620 | − | 0.0572024i | ||||
\(393\) | 4.90494e9 | 0.205619 | ||||||||
\(394\) | 1.62815e10i | 0.675631i | ||||||||
\(395\) | 3.66510e9 | − | 8.36534e8i | 0.150556 | − | 0.0343633i | ||||
\(396\) | −1.28622e10 | + | 1.61287e10i | −0.523039 | + | 0.655871i | ||||
\(397\) | −1.07498e10 | + | 4.70980e10i | −0.432752 | + | 1.89601i | 0.0111575 | + | 0.999938i | \(0.496448\pi\) |
−0.443909 | + | 0.896072i | \(0.646409\pi\) | |||||||
\(398\) | −3.96385e10 | + | 4.97051e10i | −1.57974 | + | 1.98093i | ||||
\(399\) | −1.99197e8 | + | 4.13637e8i | −0.00785944 | + | 0.0163203i | ||||
\(400\) | 4.37534e9 | + | 1.91696e10i | 0.170912 | + | 0.748813i | ||||
\(401\) | 1.20084e9 | + | 5.78292e8i | 0.0464415 | + | 0.0223651i | 0.456960 | − | 0.889487i | \(-0.348938\pi\) |
−0.410519 | + | 0.911852i | \(0.634652\pi\) | |||||||
\(402\) | 1.67333e9 | + | 2.09829e9i | 0.0640733 | + | 0.0803454i | ||||
\(403\) | 1.93868e9 | − | 8.49390e9i | 0.0734997 | − | 0.322023i | ||||
\(404\) | −4.52190e9 | + | 1.98118e10i | −0.169745 | + | 0.743699i | ||||
\(405\) | 9.67886e7 | + | 2.00984e8i | 0.00359753 | + | 0.00747034i | ||||
\(406\) | 2.06944e9 | − | 1.65032e9i | 0.0761638 | − | 0.0607386i | ||||
\(407\) | −1.23358e10 | − | 9.83744e9i | −0.449561 | − | 0.358513i | ||||
\(408\) | 4.08622e9 | − | 1.96782e9i | 0.147462 | − | 0.0710141i | ||||
\(409\) | 1.09354e10 | + | 2.27076e10i | 0.390788 | + | 0.811480i | 0.999832 | + | 0.0183435i | \(0.00583925\pi\) |
−0.609043 | + | 0.793137i | \(0.708446\pi\) | |||||||
\(410\) | 1.50818e9 | − | 1.89120e9i | 0.0533727 | − | 0.0669272i | ||||
\(411\) | −1.22170e10 | − | 1.53196e10i | −0.428151 | − | 0.536885i | ||||
\(412\) | 3.97447e10 | − | 1.91400e10i | 1.37940 | − | 0.664284i | ||||
\(413\) | −5.58888e9 | − | 1.27563e9i | −0.192099 | − | 0.0438453i | ||||
\(414\) | −1.65775e10 | − | 3.78371e9i | −0.564311 | − | 0.128800i | ||||
\(415\) | 2.12342e9 | − | 1.69337e9i | 0.0715885 | − | 0.0570899i | ||||
\(416\) | 1.90439e10 | − | 3.95451e10i | 0.635891 | − | 1.32044i | ||||
\(417\) | 1.58002e10 | − | 3.60629e9i | 0.522538 | − | 0.119266i | ||||
\(418\) | −5.15659e9 | − | 2.48328e9i | −0.168911 | − | 0.0813432i | ||||
\(419\) | 2.15607e9 | + | 1.71941e9i | 0.0699530 | + | 0.0557857i | 0.657842 | − | 0.753156i | \(-0.271469\pi\) |
−0.587889 | + | 0.808942i | \(0.700041\pi\) | |||||||
\(420\) | −6.91307e8 | − | 1.57786e8i | −0.0222164 | − | 0.00507075i | ||||
\(421\) | −3.13619e10 | − | 2.50102e10i | −0.998328 | − | 0.796140i | −0.0192896 | − | 0.999814i | \(-0.506140\pi\) |
−0.979039 | + | 0.203674i | \(0.934712\pi\) | |||||||
\(422\) | −1.04148e10 | − | 4.56302e10i | −0.328398 | − | 1.43881i | ||||
\(423\) | −8.21369e9 | −0.256553 | ||||||||
\(424\) | − | 1.33960e10i | − | 0.414489i | ||||||
\(425\) | 6.57064e9 | + | 2.87879e10i | 0.201397 | + | 0.882376i | ||||
\(426\) | −8.96430e9 | + | 7.14879e9i | −0.272194 | + | 0.217067i | ||||
\(427\) | 6.76221e9 | − | 3.25651e9i | 0.203412 | − | 0.0979582i | ||||
\(428\) | 5.79308e10 | + | 2.78980e10i | 1.72637 | + | 0.831377i | ||||
\(429\) | − | 2.71345e10i | − | 0.801110i | ||||||
\(430\) | 1.57645e9 | − | 5.38857e9i | 0.0461113 | − | 0.157616i | ||||
\(431\) | −2.74496e9 | −0.0795477 | −0.0397738 | − | 0.999209i | \(-0.512664\pi\) | ||||
−0.0397738 | + | 0.999209i | \(0.512664\pi\) | |||||||
\(432\) | 1.20052e10 | − | 2.49290e10i | 0.344694 | − | 0.715763i | ||||
\(433\) | 2.66435e10 | + | 5.53258e10i | 0.757948 | + | 1.57390i | 0.817674 | + | 0.575681i | \(0.195263\pi\) |
−0.0597261 | + | 0.998215i | \(0.519023\pi\) | |||||||
\(434\) | 2.82021e9 | + | 3.53643e9i | 0.0794918 | + | 0.0996795i | ||||
\(435\) | 6.14308e8 | − | 1.40212e8i | 0.0171565 | − | 0.00391586i | ||||
\(436\) | −2.19874e10 | −0.608454 | ||||||||
\(437\) | − | 2.56072e9i | − | 0.0702160i | ||||||
\(438\) | −1.24409e10 | + | 2.83956e9i | −0.338030 | + | 0.0771532i | ||||
\(439\) | 9.14648e9 | − | 1.14693e10i | 0.246261 | − | 0.308802i | −0.643303 | − | 0.765611i | \(-0.722437\pi\) |
0.889564 | + | 0.456810i | \(0.151008\pi\) | |||||||
\(440\) | 3.10265e8 | − | 1.35936e9i | 0.00827793 | − | 0.0362680i | ||||
\(441\) | 1.27853e10 | − | 1.60323e10i | 0.338032 | − | 0.423879i | ||||
\(442\) | 2.30487e10 | − | 4.78610e10i | 0.603888 | − | 1.25399i | ||||
\(443\) | 3.57958e9 | + | 1.56832e10i | 0.0929431 | + | 0.407210i | 0.999902 | − | 0.0140090i | \(-0.00445935\pi\) |
−0.906959 | + | 0.421219i | \(0.861602\pi\) | |||||||
\(444\) | −1.27438e10 | − | 6.13709e9i | −0.327919 | − | 0.157918i | ||||
\(445\) | −2.53088e9 | − | 3.17362e9i | −0.0645404 | − | 0.0809311i | ||||
\(446\) | 2.30055e10 | − | 1.00794e11i | 0.581422 | − | 2.54738i | ||||
\(447\) | −3.60080e9 | + | 1.57762e10i | −0.0901923 | + | 0.395158i | ||||
\(448\) | 6.24416e9 | + | 1.29661e10i | 0.155011 | + | 0.321883i | ||||
\(449\) | −2.07707e10 | + | 1.65641e10i | −0.511053 | + | 0.407551i | −0.844776 | − | 0.535120i | \(-0.820266\pi\) |
0.333723 | + | 0.942671i | \(0.391695\pi\) | |||||||
\(450\) | −2.73548e10 | − | 2.18147e10i | −0.667088 | − | 0.531985i | ||||
\(451\) | −2.35029e10 | + | 1.13184e10i | −0.568088 | + | 0.273577i | ||||
\(452\) | 6.67346e9 | + | 1.38576e10i | 0.159881 | + | 0.331997i | ||||
\(453\) | −1.21482e10 | + | 1.52333e10i | −0.288482 | + | 0.361745i | ||||
\(454\) | −4.52462e10 | − | 5.67370e10i | −1.06502 | − | 1.33550i | ||||
\(455\) | −1.18029e9 | + | 5.68397e8i | −0.0275387 | + | 0.0132619i | ||||
\(456\) | −7.89009e8 | − | 1.80086e8i | −0.0182483 | − | 0.00416506i | ||||
\(457\) | −6.08317e10 | − | 1.38844e10i | −1.39465 | − | 0.318320i | −0.541814 | − | 0.840498i | \(-0.682262\pi\) |
−0.852836 | + | 0.522178i | \(0.825120\pi\) | |||||||
\(458\) | 8.79668e9 | − | 7.01512e9i | 0.199920 | − | 0.159431i | ||||
\(459\) | 1.80287e10 | − | 3.74370e10i | 0.406175 | − | 0.843431i | ||||
\(460\) | 3.85587e9 | − | 8.80078e8i | 0.0861175 | − | 0.0196558i | ||||
\(461\) | −4.54863e10 | − | 2.19051e10i | −1.00711 | − | 0.484999i | −0.143765 | − | 0.989612i | \(-0.545921\pi\) |
−0.863346 | + | 0.504613i | \(0.831635\pi\) | |||||||
\(462\) | 1.10142e10 | + | 8.78350e9i | 0.241759 | + | 0.192797i | ||||
\(463\) | −3.53513e9 | − | 8.06871e8i | −0.0769275 | − | 0.0175582i | 0.183884 | − | 0.982948i | \(-0.441133\pi\) |
−0.260811 | + | 0.965390i | \(0.583990\pi\) | |||||||
\(464\) | −6.92578e9 | − | 5.52313e9i | −0.149416 | − | 0.119155i | ||||
\(465\) | 2.39605e8 | + | 1.04978e9i | 0.00512489 | + | 0.0224536i | ||||
\(466\) | −9.50340e10 | −2.01528 | ||||||||
\(467\) | − | 2.17382e10i | − | 0.457042i | −0.973539 | − | 0.228521i | \(-0.926611\pi\) | ||
0.973539 | − | 0.228521i | \(-0.0733889\pi\) | |||||||
\(468\) | 7.60279e9 | + | 3.33100e10i | 0.158486 | + | 0.694371i | ||||
\(469\) | −1.09247e9 | + | 8.71217e8i | −0.0225797 | + | 0.0180067i | ||||
\(470\) | 3.17105e9 | − | 1.52710e9i | 0.0649849 | − | 0.0312951i | ||||
\(471\) | 3.64616e10 | + | 1.75590e10i | 0.740888 | + | 0.356793i | ||||
\(472\) | − | 1.01054e10i | − | 0.203603i | ||||||
\(473\) | −4.05307e10 | + | 4.49801e10i | −0.809728 | + | 0.898620i | ||||
\(474\) | −6.69559e10 | −1.32640 | ||||||||
\(475\) | 2.28617e9 | − | 4.74727e9i | 0.0449090 | − | 0.0932545i | ||||
\(476\) | 6.49546e9 | + | 1.34880e10i | 0.126527 | + | 0.262735i | ||||
\(477\) | −2.82163e10 | − | 3.53822e10i | −0.545039 | − | 0.683457i | ||||
\(478\) | −1.12806e10 | + | 2.57471e9i | −0.216082 | + | 0.0493194i | ||||
\(479\) | 4.67791e10 | 0.888607 | 0.444304 | − | 0.895876i | \(-0.353451\pi\) | ||||
0.444304 | + | 0.895876i | \(0.353451\pi\) | |||||||
\(480\) | 5.42468e9i | 0.102190i | ||||||||
\(481\) | −2.54766e10 | + | 5.81487e9i | −0.475950 | + | 0.108633i | ||||
\(482\) | 1.57055e10 | − | 1.96940e10i | 0.290980 | − | 0.364877i | ||||
\(483\) | −1.40255e9 | + | 6.14497e9i | −0.0257709 | + | 0.112910i | ||||
\(484\) | −1.88152e10 | + | 2.35935e10i | −0.342868 | + | 0.429943i | ||||
\(485\) | −3.99278e8 | + | 8.29110e8i | −0.00721620 | + | 0.0149846i | ||||
\(486\) | 1.78718e10 | + | 7.83015e10i | 0.320349 | + | 1.40354i | ||||
\(487\) | 9.36417e10 | + | 4.50955e10i | 1.66477 | + | 0.801710i | 0.998427 | + | 0.0560617i | \(0.0178543\pi\) |
0.666340 | + | 0.745648i | \(0.267860\pi\) | |||||||
\(488\) | 8.24912e9 | + | 1.03441e10i | 0.145455 | + | 0.182395i | ||||
\(489\) | −1.18233e10 | + | 5.18013e10i | −0.206778 | + | 0.905951i | ||||
\(490\) | −1.95528e9 | + | 8.56665e9i | −0.0339176 | + | 0.148603i | ||||
\(491\) | 2.25200e10 | + | 4.67634e10i | 0.387475 | + | 0.804600i | 0.999901 | + | 0.0140718i | \(0.00447935\pi\) |
−0.612426 | + | 0.790528i | \(0.709806\pi\) | |||||||
\(492\) | −1.82836e10 | + | 1.45807e10i | −0.312033 | + | 0.248838i | ||||
\(493\) | −1.04008e10 | − | 8.29432e9i | −0.176067 | − | 0.140408i | ||||
\(494\) | −8.54042e9 | + | 4.11285e9i | −0.143407 | + | 0.0690614i | ||||
\(495\) | −2.04376e9 | − | 4.24392e9i | −0.0340416 | − | 0.0706881i | ||||
\(496\) | 9.43837e9 | − | 1.18353e10i | 0.155945 | − | 0.195548i | ||||
\(497\) | −3.72201e9 | − | 4.66725e9i | −0.0610031 | − | 0.0764955i | ||||
\(498\) | −4.35821e10 | + | 2.09880e10i | −0.708583 | + | 0.341236i | ||||
\(499\) | 4.57830e10 | + | 1.04497e10i | 0.738418 | + | 0.168539i | 0.575156 | − | 0.818044i | \(-0.304941\pi\) |
0.163262 | + | 0.986583i | \(0.447799\pi\) | |||||||
\(500\) | 1.59672e10 | + | 3.64440e9i | 0.255475 | + | 0.0583104i | ||||
\(501\) | −2.26733e10 | + | 1.80814e10i | −0.359885 | + | 0.286999i | ||||
\(502\) | 4.54548e10 | − | 9.43880e10i | 0.715757 | − | 1.48628i | ||||
\(503\) | 7.68579e10 | − | 1.75423e10i | 1.20065 | − | 0.274041i | 0.424995 | − | 0.905196i | \(-0.360276\pi\) |
0.775657 | + | 0.631155i | \(0.217419\pi\) | |||||||
\(504\) | −2.52086e9 | − | 1.21398e9i | −0.0390685 | − | 0.0188144i | ||||
\(505\) | −3.62773e9 | − | 2.89302e9i | −0.0557788 | − | 0.0444821i | ||||
\(506\) | −7.66059e10 | − | 1.74848e10i | −1.16859 | − | 0.266722i | ||||
\(507\) | −1.82195e9 | − | 1.45295e9i | −0.0275743 | − | 0.0219898i | ||||
\(508\) | 7.77688e9 | + | 3.40727e10i | 0.116775 | + | 0.511626i | ||||
\(509\) | 9.85840e10 | 1.46871 | 0.734354 | − | 0.678767i | \(-0.237485\pi\) | ||||
0.734354 | + | 0.678767i | \(0.237485\pi\) | |||||||
\(510\) | 6.56543e9i | 0.0970471i | ||||||||
\(511\) | −1.47841e9 | − | 6.47734e9i | −0.0216826 | − | 0.0949977i | ||||
\(512\) | 7.11970e10 | − | 5.67777e10i | 1.03605 | − | 0.826224i | ||||
\(513\) | −6.68033e9 | + | 3.21708e9i | −0.0964558 | + | 0.0464507i | ||||
\(514\) | 8.97964e10 | + | 4.32437e10i | 1.28649 | + | 0.619541i | ||||
\(515\) | 1.00726e10i | 0.143190i | ||||||||
\(516\) | −2.64508e10 | + | 4.73976e10i | −0.373113 | + | 0.668586i | ||||
\(517\) | −3.79560e10 | −0.531274 | ||||||||
\(518\) | 5.88654e9 | − | 1.22235e10i | 0.0817600 | − | 0.169776i | ||||
\(519\) | −1.31016e10 | − | 2.72057e10i | −0.180574 | − | 0.374965i | ||||
\(520\) | −1.43982e9 | − | 1.80547e9i | −0.0196922 | − | 0.0246932i | ||||
\(521\) | −8.71449e10 | + | 1.98903e10i | −1.18274 | + | 0.269954i | −0.768281 | − | 0.640112i | \(-0.778888\pi\) |
−0.414463 | + | 0.910066i | \(0.636031\pi\) | |||||||
\(522\) | 1.57628e10 | 0.212301 | ||||||||
\(523\) | 5.02686e10i | 0.671878i | 0.941884 | + | 0.335939i | \(0.109054\pi\) | ||||
−0.941884 | + | 0.335939i | \(0.890946\pi\) | |||||||
\(524\) | −2.78247e10 | + | 6.35080e9i | −0.369067 | + | 0.0842370i | ||||
\(525\) | −8.08628e9 | + | 1.01399e10i | −0.106442 | + | 0.133474i | ||||
\(526\) | −2.96319e9 | + | 1.29826e10i | −0.0387094 | + | 0.169597i | ||||
\(527\) | 1.41740e10 | − | 1.77737e10i | 0.183760 | − | 0.230428i | ||||
\(528\) | 2.04563e10 | − | 4.24780e10i | 0.263204 | − | 0.546548i | ||||
\(529\) | 9.60290e9 | + | 4.20731e10i | 0.122625 | + | 0.537256i | ||||
\(530\) | 1.74718e10 | + | 8.41396e9i | 0.221428 | + | 0.106634i | ||||
\(531\) | −2.12851e10 | − | 2.66907e10i | −0.267731 | − | 0.335724i | ||||
\(532\) | 5.94435e8 | − | 2.60439e9i | 0.00742093 | − | 0.0325132i | ||||
\(533\) | −9.61390e9 | + | 4.21212e10i | −0.119122 | + | 0.521906i | ||||
\(534\) | 3.13683e10 | + | 6.51370e10i | 0.385768 | + | 0.801056i | ||||
\(535\) | −1.14785e10 | + | 9.15378e9i | −0.140110 | + | 0.111734i | ||||
\(536\) | −1.92579e9 | − | 1.53577e9i | −0.0233319 | − | 0.0186066i | ||||
\(537\) | 4.45869e10 | − | 2.14719e10i | 0.536180 | − | 0.258211i | ||||
\(538\) | −7.62563e10 | − | 1.58348e11i | −0.910221 | − | 1.89009i | ||||
\(539\) | 5.90820e10 | − | 7.40864e10i | 0.700003 | − | 0.877776i | ||||
\(540\) | −7.14013e9 | − | 8.95343e9i | −0.0839713 | − | 0.105297i | ||||
\(541\) | −4.01628e10 | + | 1.93414e10i | −0.468851 | + | 0.225787i | −0.653365 | − | 0.757043i | \(-0.726643\pi\) |
0.184514 | + | 0.982830i | \(0.440929\pi\) | |||||||
\(542\) | 1.70444e11 | + | 3.89028e10i | 1.97508 | + | 0.450800i | ||||
\(543\) | −8.15260e9 | − | 1.86078e9i | −0.0937771 | − | 0.0214040i | ||||
\(544\) | 8.95416e10 | − | 7.14071e10i | 1.02242 | − | 0.815353i | ||||
\(545\) | 2.17830e9 | − | 4.52330e9i | 0.0246907 | − | 0.0512707i | ||||
\(546\) | 2.27472e10 | − | 5.19189e9i | 0.255951 | − | 0.0584191i | ||||
\(547\) | −8.43976e10 | − | 4.06438e10i | −0.942716 | − | 0.453988i | −0.101590 | − | 0.994826i | \(-0.532393\pi\) |
−0.841127 | + | 0.540838i | \(0.818107\pi\) | |||||||
\(548\) | 8.91399e10 | + | 7.10867e10i | 0.988439 | + | 0.788254i | ||||
\(549\) | 4.35759e10 | + | 9.94591e9i | 0.479686 | + | 0.109485i | ||||
\(550\) | −1.26408e11 | − | 1.00807e11i | −1.38142 | − | 1.10164i | ||||
\(551\) | 5.28226e8 | + | 2.31431e9i | 0.00573078 | + | 0.0251082i | ||||
\(552\) | −1.11108e10 | −0.119671 | ||||||||
\(553\) | − | 3.48605e10i | − | 0.372763i | ||||||
\(554\) | −2.61271e10 | − | 1.14470e11i | −0.277365 | − | 1.21522i | ||||
\(555\) | 2.52507e9 | − | 2.01368e9i | 0.0266135 | − | 0.0212235i | ||||
\(556\) | −8.49617e10 | + | 4.09154e10i | −0.889046 | + | 0.428142i | ||||
\(557\) | 1.35190e11 | + | 6.51041e10i | 1.40451 | + | 0.676375i | 0.974070 | − | 0.226245i | \(-0.0726451\pi\) |
0.430437 | + | 0.902621i | \(0.358359\pi\) | |||||||
\(558\) | 2.69368e10i | 0.277850i | ||||||||
\(559\) | 1.63906e10 | + | 9.89303e10i | 0.167860 | + | 1.01317i | ||||
\(560\) | −2.27621e9 | −0.0231451 | ||||||||
\(561\) | 3.07202e10 | − | 6.37911e10i | 0.310150 | − | 0.644034i | ||||
\(562\) | −4.33335e10 | − | 8.99829e10i | −0.434389 | − | 0.902017i | ||||
\(563\) | −1.65824e9 | − | 2.07937e9i | −0.0165050 | − | 0.0206966i | 0.773511 | − | 0.633783i | \(-0.218499\pi\) |
−0.790015 | + | 0.613087i | \(0.789928\pi\) | |||||||
\(564\) | −3.31734e10 | + | 7.57161e9i | −0.327849 | + | 0.0748293i | ||||
\(565\) | −3.51195e9 | −0.0344632 | ||||||||
\(566\) | 2.37186e11i | 2.31113i | ||||||||
\(567\) | 2.01671e9 | − | 4.60301e8i | 0.0195124 | − | 0.00445359i | ||||
\(568\) | 6.56110e9 | − | 8.22736e9i | 0.0630353 | − | 0.0790437i | ||||
\(569\) | 3.90427e10 | − | 1.71057e11i | 0.372470 | − | 1.63190i | −0.347351 | − | 0.937735i | \(-0.612919\pi\) |
0.719820 | − | 0.694161i | \(-0.244224\pi\) | |||||||
\(570\) | 7.30449e8 | − | 9.15954e8i | 0.00691975 | − | 0.00867709i | ||||
\(571\) | 2.37518e10 | − | 4.93211e10i | 0.223435 | − | 0.463968i | −0.758873 | − | 0.651239i | \(-0.774250\pi\) |
0.982308 | + | 0.187270i | \(0.0599640\pi\) | |||||||
\(572\) | 3.51330e10 | + | 1.53928e11i | 0.328195 | + | 1.43792i | ||||
\(573\) | 1.20142e11 | + | 5.78571e10i | 1.11449 | + | 0.536708i | ||||
\(574\) | −1.39854e10 | − | 1.75371e10i | −0.128833 | − | 0.161552i | ||||
\(575\) | 1.60969e10 | − | 7.05251e10i | 0.147255 | − | 0.645167i | ||||
\(576\) | −1.90707e10 | + | 8.35541e10i | −0.173251 | + | 0.759063i | ||||
\(577\) | 7.87786e10 | + | 1.63585e11i | 0.710731 | + | 1.47585i | 0.872292 | + | 0.488985i | \(0.162633\pi\) |
−0.161562 | + | 0.986863i | \(0.551653\pi\) | |||||||
\(578\) | −2.06839e10 | + | 1.64949e10i | −0.185320 | + | 0.147787i | ||||
\(579\) | −4.74711e10 | − | 3.78570e10i | −0.422392 | − | 0.336846i | ||||
\(580\) | −3.30329e9 | + | 1.59078e9i | −0.0291901 | + | 0.0140572i | ||||
\(581\) | −1.09274e10 | − | 2.26910e10i | −0.0958985 | − | 0.199135i | ||||
\(582\) | 1.02190e10 | − | 1.28142e10i | 0.0890667 | − | 0.111686i | ||||
\(583\) | −1.30390e11 | − | 1.63504e11i | −1.12868 | − | 1.41531i | ||||
\(584\) | 1.05520e10 | − | 5.08156e9i | 0.0907157 | − | 0.0436864i | ||||
\(585\) | −7.60582e9 | − | 1.73598e9i | −0.0649416 | − | 0.0148225i | ||||
\(586\) | −2.23451e11 | − | 5.10013e10i | −1.89493 | − | 0.432504i | ||||
\(587\) | 4.22838e10 | − | 3.37202e10i | 0.356140 | − | 0.284012i | −0.429033 | − | 0.903289i | \(-0.641145\pi\) |
0.785173 | + | 0.619277i | \(0.212574\pi\) | |||||||
\(588\) | 3.68583e10 | − | 7.65370e10i | 0.308337 | − | 0.640269i | ||||
\(589\) | −3.95488e9 | + | 9.02676e8i | −0.0328604 | + | 0.00750017i | ||||
\(590\) | 1.31799e10 | + | 6.34711e9i | 0.108769 | + | 0.0523803i | ||||
\(591\) | 2.80998e10 | + | 2.24088e10i | 0.230331 | + | 0.183683i | ||||
\(592\) | −4.42665e10 | − | 1.01035e10i | −0.360403 | − | 0.0822596i | ||||
\(593\) | −1.79555e11 | − | 1.43190e11i | −1.45204 | − | 1.15796i | −0.957365 | − | 0.288880i | \(-0.906717\pi\) |
−0.494671 | − | 0.869080i | \(-0.664712\pi\) | |||||||
\(594\) | 5.06276e10 | + | 2.21814e11i | 0.406669 | + | 1.78173i | ||||
\(595\) | −3.41828e9 | −0.0272734 | ||||||||
\(596\) | − | 9.41570e10i | − | 0.746221i | ||||||
\(597\) | 3.12287e10 | + | 1.36822e11i | 0.245842 | + | 1.07710i | ||||
\(598\) | −1.01747e11 | + | 8.11402e10i | −0.795637 | + | 0.634499i | ||||
\(599\) | 1.58763e11 | − | 7.64561e10i | 1.23322 | − | 0.593888i | 0.300258 | − | 0.953858i | \(-0.402927\pi\) |
0.932964 | + | 0.359970i | \(0.117213\pi\) | |||||||
\(600\) | −2.05982e10 | − | 9.91956e9i | −0.158937 | − | 0.0765398i | ||||
\(601\) | 8.66023e10i | 0.663791i | 0.943316 | + | 0.331896i | \(0.107688\pi\) | ||||
−0.943316 | + | 0.331896i | \(0.892312\pi\) | |||||||
\(602\) | −4.54625e10 | − | 2.53709e10i | −0.346153 | − | 0.193175i | ||||
\(603\) | −8.32131e9 | −0.0629394 | ||||||||
\(604\) | 4.91903e10 | − | 1.02145e11i | 0.369600 | − | 0.767481i | ||||
\(605\) | −2.98967e9 | − | 6.20812e9i | −0.0223153 | − | 0.0463382i | ||||
\(606\) | 5.15261e10 | + | 6.46117e10i | 0.382064 | + | 0.479094i | ||||
\(607\) | −1.91063e11 | + | 4.36089e10i | −1.40742 | + | 0.321233i | −0.857714 | − | 0.514127i | \(-0.828116\pi\) |
−0.549702 | + | 0.835361i | \(0.685259\pi\) | |||||||
\(608\) | −2.04366e10 | −0.149553 | ||||||||
\(609\) | − | 5.84298e9i | − | 0.0424781i | ||||||
\(610\) | −1.86725e10 | + | 4.26187e9i | −0.134860 | + | 0.0307809i | ||||
\(611\) | −3.91947e10 | + | 4.91485e10i | −0.281230 | + | 0.352652i | ||||
\(612\) | −1.98382e10 | + | 8.69168e10i | −0.141415 | + | 0.619581i | ||||
\(613\) | −1.40918e11 | + | 1.76706e11i | −0.997988 | + | 1.25144i | −0.0302331 | + | 0.999543i | \(0.509625\pi\) |
−0.967755 | + | 0.251894i | \(0.918946\pi\) | |||||||
\(614\) | −1.61498e10 | + | 3.35354e10i | −0.113630 | + | 0.235955i | ||||
\(615\) | −1.18820e9 | − | 5.20586e9i | −0.00830597 | − | 0.0363908i | ||||
\(616\) | −1.16491e10 | − | 5.60991e9i | −0.0809039 | − | 0.0389612i | ||||
\(617\) | 1.18686e11 | + | 1.48827e11i | 0.818950 | + | 1.02693i | 0.999063 | + | 0.0432844i | \(0.0137822\pi\) |
−0.180113 | + | 0.983646i | \(0.557646\pi\) | |||||||
\(618\) | 3.99197e10 | − | 1.74900e11i | 0.273674 | − | 1.19904i | ||||
\(619\) | −3.61718e10 | + | 1.58479e11i | −0.246381 | + | 1.07947i | 0.688703 | + | 0.725043i | \(0.258180\pi\) |
−0.935085 | + | 0.354424i | \(0.884677\pi\) | |||||||
\(620\) | −2.71846e9 | − | 5.64494e9i | −0.0183974 | − | 0.0382026i | ||||
\(621\) | −7.95863e10 | + | 6.34679e10i | −0.535145 | + | 0.426764i | ||||
\(622\) | 1.89414e11 | + | 1.51053e11i | 1.26547 | + | 1.00918i | ||||
\(623\) | −3.39135e10 | + | 1.63319e10i | −0.225123 | + | 0.108414i | ||||
\(624\) | −3.38801e10 | − | 7.03527e10i | −0.223463 | − | 0.464026i | ||||
\(625\) | 9.16323e10 | − | 1.14903e11i | 0.600522 | − | 0.753030i | ||||
\(626\) | −2.08780e11 | − | 2.61802e11i | −1.35954 | − | 1.70481i | ||||
\(627\) | −1.13830e10 | + | 5.48177e9i | −0.0736524 | + | 0.0354691i | ||||
\(628\) | −2.29574e11 | − | 5.23988e10i | −1.47599 | − | 0.336886i | ||||
\(629\) | −6.64770e10 | − | 1.51729e10i | −0.424687 | − | 0.0969320i | ||||
\(630\) | 3.16668e9 | − | 2.52534e9i | 0.0201021 | − | 0.0160309i | ||||
\(631\) | 5.66890e10 | − | 1.17716e11i | 0.357587 | − | 0.742536i | −0.642124 | − | 0.766601i | \(-0.721946\pi\) |
0.999710 | + | 0.0240646i | \(0.00766075\pi\) | |||||||
\(632\) | 5.99108e10 | − | 1.36743e10i | 0.375523 | − | 0.0857108i | ||||
\(633\) | −9.30860e10 | − | 4.48279e10i | −0.579788 | − | 0.279211i | ||||
\(634\) | 3.39769e11 | + | 2.70957e11i | 2.10294 | + | 1.67704i | ||||
\(635\) | −7.77998e9 | − | 1.77573e9i | −0.0478502 | − | 0.0109215i | ||||
\(636\) | −1.46576e11 | − | 1.16891e11i | −0.895849 | − | 0.714416i | ||||
\(637\) | −3.49231e10 | − | 1.53008e11i | −0.212107 | − | 0.929302i | ||||
\(638\) | 7.28412e10 | 0.439637 | ||||||||
\(639\) | − | 3.55503e10i | − | 0.213226i | ||||||
\(640\) | −2.25601e9 | − | 9.88421e9i | −0.0134468 | − | 0.0589145i | ||||
\(641\) | −9.16788e10 | + | 7.31114e10i | −0.543046 | + | 0.433065i | −0.856205 | − | 0.516636i | \(-0.827184\pi\) |
0.313159 | + | 0.949701i | \(0.398613\pi\) | |||||||
\(642\) | 2.35590e11 | − | 1.13454e11i | 1.38681 | − | 0.667852i | ||||
\(643\) | 9.46155e10 | + | 4.55644e10i | 0.553501 | + | 0.266552i | 0.689658 | − | 0.724135i | \(-0.257761\pi\) |
−0.136157 | + | 0.990687i | \(0.543475\pi\) | |||||||
\(644\) | − | 3.66751e10i | − | 0.213220i | ||||||
\(645\) | −7.13024e9 | − | 1.01372e10i | −0.0411970 | − | 0.0585707i | ||||
\(646\) | −2.47342e10 | −0.142026 | ||||||||
\(647\) | 5.47646e10 | − | 1.13720e11i | 0.312523 | − | 0.648962i | −0.684248 | − | 0.729249i | \(-0.739870\pi\) |
0.996772 | + | 0.0802876i | \(0.0255839\pi\) | |||||||
\(648\) | 1.58214e9 | + | 3.28534e9i | 0.00897314 | + | 0.0186329i | ||||
\(649\) | −9.83602e10 | − | 1.23340e11i | −0.554422 | − | 0.695223i | ||||
\(650\) | −2.61067e11 | + | 5.95868e10i | −1.46251 | + | 0.333808i | ||||
\(651\) | 9.98496e9 | 0.0555933 | ||||||||
\(652\) | − | 3.09166e11i | − | 1.71081i | ||||||
\(653\) | 1.09231e11 | − | 2.49313e10i | 0.600750 | − | 0.137117i | 0.0886790 | − | 0.996060i | \(-0.471735\pi\) |
0.512071 | + | 0.858943i | \(0.328878\pi\) | |||||||
\(654\) | −5.57507e10 | + | 6.99092e10i | −0.304747 | + | 0.382141i | ||||
\(655\) | 1.45011e9 | − | 6.35333e9i | 0.00787833 | − | 0.0345172i | ||||
\(656\) | −4.68049e10 | + | 5.86915e10i | −0.252741 | + | 0.316927i | ||||
\(657\) | 1.71669e10 | − | 3.56475e10i | 0.0921364 | − | 0.191323i | ||||
\(658\) | −7.26249e9 | − | 3.18190e10i | −0.0387420 | − | 0.169740i | ||||
\(659\) | 3.68448e10 | + | 1.77435e10i | 0.195359 | + | 0.0940801i | 0.529006 | − | 0.848618i | \(-0.322565\pi\) |
−0.333647 | + | 0.942698i | \(0.608279\pi\) | |||||||
\(660\) | −1.21665e10 | − | 1.52563e10i | −0.0641194 | − | 0.0804032i | ||||
\(661\) | −3.60332e10 | + | 1.57872e11i | −0.188754 | + | 0.826986i | 0.788520 | + | 0.615009i | \(0.210847\pi\) |
−0.977275 | + | 0.211977i | \(0.932010\pi\) | |||||||
\(662\) | −8.28813e10 | + | 3.63127e11i | −0.431544 | + | 1.89072i | ||||
\(663\) | −5.08792e10 | − | 1.05652e11i | −0.263321 | − | 0.546792i | ||||
\(664\) | 3.47101e10 | − | 2.76804e10i | 0.178560 | − | 0.142397i | ||||
\(665\) | 4.76890e8 | + | 3.80307e8i | 0.00243855 | + | 0.00194468i | ||||
\(666\) | 7.27933e10 | − | 3.50554e10i | 0.369994 | − | 0.178180i | ||||
\(667\) | 1.41403e10 | + | 2.93627e10i | 0.0714424 | + | 0.148352i | ||||
\(668\) | 1.05210e11 | − | 1.31929e11i | 0.528384 | − | 0.662572i | ||||
\(669\) | −1.42293e11 | − | 1.78430e11i | −0.710362 | − | 0.890765i | ||||
\(670\) | 3.21260e9 | − | 1.54711e9i | 0.0159426 | − | 0.00767753i | ||||
\(671\) | 2.01367e11 | + | 4.59608e10i | 0.993342 | + | 0.226724i | ||||
\(672\) | 4.90419e10 | + | 1.11935e10i | 0.240486 | + | 0.0548894i | ||||
\(673\) | 2.23963e11 | − | 1.78604e11i | 1.09173 | − | 0.870626i | 0.0995003 | − | 0.995038i | \(-0.468276\pi\) |
0.992231 | + | 0.124411i | \(0.0397041\pi\) | |||||||
\(674\) | 1.87292e11 | − | 3.88917e11i | 0.907571 | − | 1.88459i | ||||
\(675\) | −2.04207e11 | + | 4.66089e10i | −0.983683 | + | 0.224519i | ||||
\(676\) | 1.22168e10 | + | 5.88329e9i | 0.0585019 | + | 0.0281730i | ||||
\(677\) | 1.27180e11 | + | 1.01422e11i | 0.605428 | + | 0.482813i | 0.877573 | − | 0.479444i | \(-0.159161\pi\) |
−0.272145 | + | 0.962256i | \(0.587733\pi\) | |||||||
\(678\) | 6.09814e10 | + | 1.39186e10i | 0.288588 | + | 0.0658684i | ||||
\(679\) | 6.67169e9 | + | 5.32050e9i | 0.0313875 | + | 0.0250307i | ||||
\(680\) | −1.34084e9 | − | 5.87462e9i | −0.00627108 | − | 0.0274754i | ||||
\(681\) | −1.60195e11 | −0.744834 | ||||||||
\(682\) | 1.24477e11i | 0.575376i | ||||||||
\(683\) | −1.49391e10 | − | 6.54526e10i | −0.0686503 | − | 0.300776i | 0.928934 | − | 0.370246i | \(-0.120727\pi\) |
−0.997584 | + | 0.0694694i | \(0.977869\pi\) | |||||||
\(684\) | 1.24378e10 | − | 9.91878e9i | 0.0568221 | − | 0.0453141i | ||||
\(685\) | −2.34553e10 | + | 1.12955e10i | −0.106531 | + | 0.0513029i | ||||
\(686\) | 1.52507e11 | + | 7.34435e10i | 0.688642 | + | 0.331632i | ||||
\(687\) | − | 2.48371e10i | − | 0.111500i | ||||||
\(688\) | −4.89235e10 | + | 1.67229e11i | −0.218355 | + | 0.746374i | ||||
\(689\) | −3.46362e11 | −1.53693 | ||||||||
\(690\) | 6.97864e9 | − | 1.44913e10i | 0.0307875 | − | 0.0639309i | ||||
\(691\) | −3.50442e10 | − | 7.27701e10i | −0.153711 | − | 0.319184i | 0.809866 | − | 0.586615i | \(-0.199540\pi\) |
−0.963577 | + | 0.267431i | \(0.913825\pi\) | |||||||
\(692\) | 1.09548e11 | + | 1.37369e11i | 0.477726 | + | 0.599050i | ||||
\(693\) | −4.25844e10 | + | 9.71960e9i | −0.184636 | + | 0.0421420i | ||||
\(694\) | 3.32101e11 | 1.43163 | ||||||||
\(695\) | − | 2.15320e10i | − | 0.0922881i | ||||||
\(696\) | 1.00417e10 | − | 2.29195e9i | 0.0427926 | − | 0.00976714i | ||||
\(697\) | −7.02890e10 | + | 8.81396e10i | −0.297821 | + | 0.373456i | ||||
\(698\) | 1.36195e10 | − | 5.96711e10i | 0.0573773 | − | 0.251387i | ||||
\(699\) | −1.30799e11 | + | 1.64016e11i | −0.547891 | + | 0.687034i | ||||
\(700\) | 3.27429e10 | − | 6.79913e10i | 0.136372 | − | 0.283179i | ||||
\(701\) | 9.93553e9 | + | 4.35304e10i | 0.0411452 | + | 0.180269i | 0.991325 | − | 0.131433i | \(-0.0419580\pi\) |
−0.950180 | + | 0.311702i | \(0.899101\pi\) | |||||||
\(702\) | 3.39502e11 | + | 1.63496e11i | 1.39796 | + | 0.673221i | ||||
\(703\) | 7.58622e9 | + | 9.51282e9i | 0.0310602 | + | 0.0389482i | ||||
\(704\) | −8.81270e10 | + | 3.86109e11i | −0.358772 | + | 1.57188i | ||||
\(705\) | 1.72886e9 | − | 7.57462e9i | 0.00699847 | − | 0.0306623i | ||||
\(706\) | 2.80209e11 | + | 5.81859e11i | 1.12788 | + | 2.34207i | ||||
\(707\) | −3.36400e10 | + | 2.68270e10i | −0.134641 | + | 0.107373i | ||||
\(708\) | −1.10570e11 | − | 8.81770e10i | −0.440054 | − | 0.350932i | ||||
\(709\) | 1.49652e11 | − | 7.20687e10i | 0.592240 | − | 0.285208i | −0.113659 | − | 0.993520i | \(-0.536257\pi\) |
0.705900 | + | 0.708312i | \(0.250543\pi\) | |||||||
\(710\) | 6.60955e9 | + | 1.37249e10i | 0.0260099 | + | 0.0540101i | ||||
\(711\) | 1.29437e11 | − | 1.62309e11i | 0.506500 | − | 0.635131i | ||||
\(712\) | −4.13706e10 | − | 5.18771e10i | −0.160980 | − | 0.201862i | ||||
\(713\) | −5.01774e10 | + | 2.41641e10i | −0.194156 | + | 0.0935004i | ||||
\(714\) | 5.93549e10 | + | 1.35474e10i | 0.228383 | + | 0.0521269i | ||||
\(715\) | −3.51470e10 | − | 8.02208e9i | −0.134482 | − | 0.0306947i | ||||
\(716\) | −2.25131e11 | + | 1.79536e11i | −0.856609 | + | 0.683123i | ||||
\(717\) | −1.10822e10 | + | 2.30124e10i | −0.0419324 | + | 0.0870735i | ||||
\(718\) | 4.62645e11 | − | 1.05596e11i | 1.74081 | − | 0.397328i | ||||
\(719\) | −5.36259e10 | − | 2.58249e10i | −0.200659 | − | 0.0966323i | 0.330856 | − | 0.943681i | \(-0.392663\pi\) |
−0.531515 | + | 0.847049i | \(0.678377\pi\) | |||||||
\(720\) | −1.05979e10 | − | 8.45155e9i | −0.0394357 | − | 0.0314490i | ||||
\(721\) | 9.10613e10 | + | 2.07841e10i | 0.336971 | + | 0.0769115i | ||||
\(722\) | −3.10754e11 | − | 2.47818e11i | −1.14359 | − | 0.911979i | ||||
\(723\) | −1.23733e10 | − | 5.42111e10i | −0.0452828 | − | 0.198397i | ||||
\(724\) | 4.86572e10 | 0.177090 | ||||||||
\(725\) | 6.70592e10i | 0.242721i | ||||||||
\(726\) | 2.73085e10 | + | 1.19646e11i | 0.0982994 | + | 0.430678i | ||||
\(727\) | −1.75576e11 | + | 1.40017e11i | −0.628531 | + | 0.501237i | −0.885168 | − | 0.465271i | \(-0.845957\pi\) |
0.256637 | + | 0.966508i | \(0.417386\pi\) | |||||||
\(728\) | −1.92934e10 | + | 9.29121e9i | −0.0686884 | + | 0.0330786i | ||||
\(729\) | 1.78736e11 | + | 8.60749e10i | 0.632853 | + | 0.304766i | ||||
\(730\) | 1.69541e10i | 0.0597013i | ||||||||
\(731\) | −7.34706e10 | + | 2.51134e11i | −0.257303 | + | 0.879502i | ||||
\(732\) | 1.85162e11 | 0.644924 | ||||||||
\(733\) | 1.53697e11 | − | 3.19156e11i | 0.532415 | − | 1.10557i | −0.445251 | − | 0.895406i | \(-0.646886\pi\) |
0.977666 | − | 0.210165i | \(-0.0674001\pi\) | |||||||
\(734\) | 1.48436e11 | + | 3.08231e11i | 0.511394 | + | 1.06192i | ||||
\(735\) | 1.20938e10 | + | 1.51651e10i | 0.0414394 | + | 0.0519633i | ||||
\(736\) | −2.73539e11 | + | 6.24334e10i | −0.932196 | + | 0.212768i | ||||
\(737\) | −3.84534e10 | −0.130336 | ||||||||
\(738\) | − | 1.33580e11i | − | 0.450314i | ||||||
\(739\) | 1.54236e11 | − | 3.52034e10i | 0.517140 | − | 0.118034i | 0.0440180 | − | 0.999031i | \(-0.485984\pi\) |
0.473122 | + | 0.880997i | \(0.343127\pi\) | |||||||
\(740\) | −1.17169e10 | + | 1.46926e10i | −0.0390739 | + | 0.0489971i | ||||
\(741\) | −4.65624e9 | + | 2.04003e10i | −0.0154441 | + | 0.0676650i | ||||
\(742\) | 1.12118e11 | − | 1.40592e11i | 0.369881 | − | 0.463816i | ||||
\(743\) | 1.36542e11 | − | 2.83532e11i | 0.448034 | − | 0.930352i | −0.547576 | − | 0.836756i | \(-0.684449\pi\) |
0.995610 | − | 0.0935961i | \(-0.0298362\pi\) | |||||||
\(744\) | 3.91667e9 | + | 1.71600e10i | 0.0127828 | + | 0.0560050i | ||||
\(745\) | 1.93702e10 | + | 9.32819e9i | 0.0628794 | + | 0.0302811i | ||||
\(746\) | 1.03136e11 | + | 1.29329e11i | 0.333009 | + | 0.417581i | ||||
\(747\) | 3.33741e10 | − | 1.46221e11i | 0.107183 | − | 0.469600i | ||||
\(748\) | −9.16738e10 | + | 4.01649e11i | −0.292846 | + | 1.28304i | ||||
\(749\) | 5.90698e10 | + | 1.22660e11i | 0.187689 | + | 0.389739i | ||||
\(750\) | 5.20734e10 | − | 4.15271e10i | 0.164578 | − | 0.131246i | ||||
\(751\) | −2.13722e11 | − | 1.70437e11i | −0.671875 | − | 0.535802i | 0.227062 | − | 0.973880i | \(-0.427088\pi\) |
−0.898937 | + | 0.438078i | \(0.855659\pi\) | |||||||
\(752\) | −9.84103e10 | + | 4.73919e10i | −0.307729 | + | 0.148195i | ||||
\(753\) | −1.00340e11 | − | 2.08358e11i | −0.312101 | − | 0.648084i | ||||
\(754\) | 7.52182e10 | − | 9.43207e10i | 0.232722 | − | 0.291824i | ||||
\(755\) | 1.61401e10 | + | 2.02391e10i | 0.0496728 | + | 0.0622877i | ||||
\(756\) | −9.56769e10 | + | 4.60755e10i | −0.292900 | + | 0.141053i | ||||
\(757\) | 3.21886e11 | + | 7.34685e10i | 0.980210 | + | 0.223726i | 0.682464 | − | 0.730919i | \(-0.260908\pi\) |
0.297745 | + | 0.954645i | \(0.403765\pi\) | |||||||
\(758\) | −4.41420e11 | − | 1.00751e11i | −1.33713 | − | 0.305192i | ||||
\(759\) | −1.35612e11 | + | 1.08147e11i | −0.408630 | + | 0.325872i | ||||
\(760\) | −4.66528e8 | + | 9.68756e8i | −0.00139838 | + | 0.00290376i | ||||
\(761\) | 2.76111e11 | − | 6.30205e10i | 0.823275 | − | 0.187907i | 0.209924 | − | 0.977718i | \(-0.432678\pi\) |
0.613351 | + | 0.789810i | \(0.289821\pi\) | |||||||
\(762\) | 1.28054e11 | + | 6.16674e10i | 0.379815 | + | 0.182909i | ||||
\(763\) | −3.63981e10 | − | 2.90265e10i | −0.107394 | − | 0.0856440i | ||||
\(764\) | −7.56449e11 | − | 1.72655e11i | −2.22027 | − | 0.506763i | ||||
\(765\) | −1.59153e10 | − | 1.26921e10i | −0.0464697 | − | 0.0370584i | ||||
\(766\) | 1.18150e11 | + | 5.17651e11i | 0.343179 | + | 1.50356i | ||||
\(767\) | −2.61280e11 | −0.754962 | ||||||||
\(768\) | − | 1.18467e11i | − | 0.340527i | ||||||
\(769\) | −8.94179e9 | − | 3.91765e10i | −0.0255693 | − | 0.112026i | 0.960533 | − | 0.278167i | \(-0.0897267\pi\) |
−0.986102 | + | 0.166140i | \(0.946870\pi\) | |||||||
\(770\) | 1.46334e10 | − | 1.16698e10i | 0.0416278 | − | 0.0331971i | ||||
\(771\) | 1.98223e11 | − | 9.54591e10i | 0.560965 | − | 0.270147i | ||||
\(772\) | 3.18310e11 | + | 1.53290e11i | 0.896150 | + | 0.431563i | ||||
\(773\) | 4.89235e10i | 0.137025i | 0.997650 | + | 0.0685124i | \(0.0218253\pi\) | ||||
−0.997650 | + | 0.0685124i | \(0.978175\pi\) | |||||||
\(774\) | −1.17469e11 | − | 2.86928e11i | −0.327310 | − | 0.799482i | ||||
\(775\) | −1.14596e11 | −0.317661 | ||||||||
\(776\) | −6.52673e9 | + | 1.35529e10i | −0.0179990 | + | 0.0373753i | ||||
\(777\) | −1.29943e10 | − | 2.69830e10i | −0.0356509 | − | 0.0740299i | ||||
\(778\) | −2.60170e11 | − | 3.26243e11i | −0.710132 | − | 0.890477i | ||||
\(779\) | 1.96123e10 | − | 4.47637e9i | 0.0532571 | − | 0.0121556i | ||||
\(780\) | −3.23186e10 | −0.0873120 | ||||||||
\(781\) | − | 1.64280e11i | − | 0.441552i | ||||||
\(782\) | −3.31061e11 | + | 7.55625e10i | −0.885281 | + | 0.202060i | ||||
\(783\) | 5.88358e10 | − | 7.37777e10i | 0.156529 | − | 0.196281i | ||||
\(784\) | 6.06801e10 | − | 2.65857e11i | 0.160613 | − | 0.703693i | ||||
\(785\) | 3.35236e10 | − | 4.20373e10i | 0.0882821 | − | 0.110702i | ||||
\(786\) | −5.03591e10 | + | 1.04572e11i | −0.131943 | + | 0.273983i | ||||
\(787\) | 5.32324e10 | + | 2.33227e11i | 0.138764 | + | 0.607966i | 0.995708 | + | 0.0925551i | \(0.0295034\pi\) |
−0.856943 | + | 0.515411i | \(0.827639\pi\) | |||||||
\(788\) | −1.88418e11 | − | 9.07375e10i | −0.488673 | − | 0.235332i | ||||
\(789\) | 1.83279e10 | + | 2.29824e10i | 0.0472938 | + | 0.0593046i | ||||
\(790\) | −1.97950e10 | + | 8.67274e10i | −0.0508214 | + | 0.222663i | ||||
\(791\) | −7.24670e9 | + | 3.17499e10i | −0.0185112 | + | 0.0811029i | ||||
\(792\) | −3.34080e10 | − | 6.93724e10i | −0.0849082 | − | 0.176314i | ||||
\(793\) | 2.67452e11 | − | 2.13286e11i | 0.676322 | − | 0.539348i | ||||
\(794\) | −8.93747e11 | − | 7.12739e11i | −2.24870 | − | 1.79328i | ||||
\(795\) | 3.85684e10 | − | 1.85736e10i | 0.0965524 | − | 0.0464972i | ||||
\(796\) | −3.54307e11 | − | 7.35726e11i | −0.882526 | − | 1.83258i | ||||
\(797\) | 2.86025e11 | − | 3.58664e11i | 0.708876 | − | 0.888903i | −0.288775 | − | 0.957397i | \(-0.593248\pi\) |
0.997652 | + | 0.0684940i | \(0.0218194\pi\) | |||||||
\(798\) | −6.77346e9 | − | 8.49365e9i | −0.0167032 | − | 0.0209451i | ||||
\(799\) | −1.47787e11 | + | 7.11705e10i | −0.362618 | + | 0.174628i | ||||
\(800\) | −5.62848e11 | − | 1.28466e11i | −1.37414 | − | 0.313639i | ||||
\(801\) | −2.18540e11 | − | 4.98803e10i | −0.530885 | − | 0.121171i | ||||
\(802\) | −2.46580e10 | + | 1.96641e10i | −0.0596020 | + | 0.0475310i | ||||
\(803\) | 7.93296e10 | − | 1.64730e11i | 0.190798 | − | 0.396196i | ||||
\(804\) | −3.36080e10 | + | 7.67082e9i | −0.0804302 | + | 0.0183577i | ||||
\(805\) | 7.54487e9 | + | 3.63342e9i | 0.0179667 | + | 0.00865231i | ||||
\(806\) | 1.61183e11 | + | 1.28539e11i | 0.381926 | + | 0.304576i | ||||
\(807\) | −3.78242e11 | − | 8.63312e10i | −0.891816 | − | 0.203551i | ||||
\(808\) | −5.93000e10 | − | 4.72902e10i | −0.139126 | − | 0.110950i | ||||
\(809\) | 1.35154e11 | + | 5.92149e11i | 0.315526 | + | 1.38241i | 0.845310 | + | 0.534277i | \(0.179416\pi\) |
−0.529784 | + | 0.848133i | \(0.677727\pi\) | |||||||
\(810\) | −5.27864e9 | −0.0122626 | ||||||||
\(811\) | 3.91067e11i | 0.903998i | 0.892018 | + | 0.451999i | \(0.149289\pi\) | ||||
−0.892018 | + | 0.451999i | \(0.850711\pi\) | |||||||
\(812\) | 7.56535e9 | + | 3.31460e10i | 0.0174022 | + | 0.0762441i | ||||
\(813\) | 3.01730e11 | − | 2.40621e11i | 0.690646 | − | 0.550772i | ||||
\(814\) | 3.36383e11 | − | 1.61993e11i | 0.766190 | − | 0.368978i | ||||
\(815\) | 6.36023e10 | + | 3.06293e10i | 0.144159 | + | 0.0694234i | ||||
\(816\) | − | 2.03751e11i | − | 0.459557i | ||||||
\(817\) | 3.81904e10 | − | 2.68621e10i | 0.0857169 | − | 0.0602908i | ||||
\(818\) | −5.96393e11 | −1.33205 | ||||||||
\(819\) | −3.13883e10 | + | 6.51785e10i | −0.0697641 | + | 0.144867i | ||||
\(820\) | 1.34808e10 | + | 2.79933e10i | 0.0298168 | + | 0.0619153i | ||||
\(821\) | −1.30554e11 | − | 1.63710e11i | −0.287355 | − | 0.360331i | 0.617112 | − | 0.786875i | \(-0.288302\pi\) |
−0.904467 | + | 0.426544i | \(0.859731\pi\) | |||||||
\(822\) | 4.52042e11 | − | 1.03176e11i | 0.990129 | − | 0.225990i | ||||
\(823\) | 4.91157e11 | 1.07058 | 0.535292 | − | 0.844667i | \(-0.320201\pi\) | ||||
0.535292 | + | 0.844667i | \(0.320201\pi\) | |||||||
\(824\) | 1.64650e11i | 0.357151i | ||||||||
\(825\) | −3.47960e11 | + | 7.94196e10i | −0.751128 | + | 0.171440i | ||||
\(826\) | 8.45771e10 | − | 1.06056e11i | 0.181691 | − | 0.227833i | ||||
\(827\) | −1.22242e11 | + | 5.35575e11i | −0.261335 | + | 1.14498i | 0.658471 | + | 0.752606i | \(0.271204\pi\) |
−0.919805 | + | 0.392375i | \(0.871653\pi\) | |||||||
\(828\) | 1.36174e11 | − | 1.70757e11i | 0.289717 | − | 0.363293i | ||||
\(829\) | 2.06093e11 | − | 4.27957e11i | 0.436360 | − | 0.906112i | −0.560591 | − | 0.828093i | \(-0.689426\pi\) |
0.996952 | − | 0.0780192i | \(-0.0248595\pi\) | |||||||
\(830\) | 1.43009e10 | + | 6.26565e10i | 0.0301337 | + | 0.132024i | ||||
\(831\) | −2.33520e11 | − | 1.12458e11i | −0.489690 | − | 0.235822i | ||||
\(832\) | 4.08963e11 | + | 5.12823e11i | 0.853474 | + | 1.07022i | ||||
\(833\) | 9.11260e10 | − | 3.99249e11i | 0.189261 | − | 0.829209i | ||||
\(834\) | −8.53359e10 | + | 3.73881e11i | −0.176387 | + | 0.772804i | ||||
\(835\) | 1.67175e10 | + | 3.47142e10i | 0.0343894 | + | 0.0714103i | ||||
\(836\) | 5.74757e10 | − | 4.58354e10i | 0.117668 | − | 0.0938373i | ||||
\(837\) | 1.26077e11 | + | 1.00543e11i | 0.256883 | + | 0.204858i | ||||
\(838\) | −5.87937e10 | + | 2.83135e10i | −0.119221 | + | 0.0574140i | ||||
\(839\) | 2.99384e11 | + | 6.21677e11i | 0.604200 | + | 1.25463i | 0.948798 | + | 0.315884i | \(0.102301\pi\) |
−0.344598 | + | 0.938750i | \(0.611985\pi\) | |||||||
\(840\) | 1.65013e9 | − | 2.06920e9i | 0.00331438 | − | 0.00415610i | ||||
\(841\) | 2.93062e11 | + | 3.67488e11i | 0.585835 | + | 0.734614i | ||||
\(842\) | 8.55204e11 | − | 4.11845e11i | 1.70146 | − | 0.819379i | ||||
\(843\) | −2.14940e11 | − | 4.90587e10i | −0.425605 | − | 0.0971416i | ||||
\(844\) | 5.86099e11 | + | 1.33773e11i | 1.15505 | + | 0.263633i | ||||
\(845\) | −2.42065e9 | + | 1.93040e9i | −0.00474793 | + | 0.00378635i | ||||
\(846\) | 8.43301e10 | − | 1.75113e11i | 0.164627 | − | 0.341852i | ||||
\(847\) | −6.22936e10 | + | 1.42181e10i | −0.121035 | + | 0.0276254i | ||||
\(848\) | −5.42218e11 | − | 2.61118e11i | −1.04855 | − | 0.504956i | ||||
\(849\) | 4.09352e11 | + | 3.26448e11i | 0.787892 | + | 0.628323i | ||||
\(850\) | −6.81210e11 | − | 1.55482e11i | −1.30498 | − | 0.297854i | ||||
\(851\) | 1.30601e11 | + | 1.04151e11i | 0.249016 | + | 0.198584i | ||||
\(852\) | −3.27712e10 | − | 1.43580e11i | −0.0621920 | − | 0.272481i | ||||
\(853\) | −2.48957e11 | −0.470250 | −0.235125 | − | 0.971965i | \(-0.575550\pi\) | ||||
−0.235125 | + | 0.971965i | \(0.575550\pi\) | |||||||
\(854\) | 1.77603e11i | 0.333902i | ||||||||
\(855\) | 8.08297e8 | + | 3.54138e9i | 0.00151254 | + | 0.00662687i | ||||
\(856\) | −1.87631e11 | + | 1.49631e11i | −0.349470 | + | 0.278693i | ||||
\(857\) | −2.09091e11 | + | 1.00693e11i | −0.387626 | + | 0.186671i | −0.617539 | − | 0.786540i | \(-0.711870\pi\) |
0.229913 | + | 0.973211i | \(0.426156\pi\) | |||||||
\(858\) | 5.78498e11 | + | 2.78590e11i | 1.06746 | + | 0.514063i | ||||
\(859\) | 3.29096e11i | 0.604436i | 0.953239 | + | 0.302218i | \(0.0977271\pi\) | ||||
−0.953239 | + | 0.302218i | \(0.902273\pi\) | |||||||
\(860\) | 5.35738e10 | + | 4.82742e10i | 0.0979396 | + | 0.0882514i | ||||
\(861\) | −4.95154e10 | −0.0901006 | ||||||||
\(862\) | 2.81826e10 | − | 5.85218e10i | 0.0510449 | − | 0.105996i | ||||
\(863\) | 3.05010e11 | + | 6.33359e11i | 0.549883 | + | 1.14184i | 0.971930 | + | 0.235270i | \(0.0755975\pi\) |
−0.422047 | + | 0.906574i | \(0.638688\pi\) | |||||||
\(864\) | 5.06526e11 | + | 6.35164e11i | 0.908964 | + | 1.13981i | ||||
\(865\) | −3.91127e10 | + | 8.92723e9i | −0.0698640 | + | 0.0159460i | ||||
\(866\) | −1.45308e12 | −2.58355 | ||||||||
\(867\) | 5.84002e10i | 0.103356i | ||||||||
\(868\) | −5.66425e10 | + | 1.29283e10i | −0.0997847 | + | 0.0227752i | ||||
\(869\) | 5.98137e11 | − | 7.50040e11i | 1.04887 | − | 1.31524i | ||||
\(870\) | −3.31784e9 | + | 1.45364e10i | −0.00579133 | + | 0.0253735i | ||||
\(871\) | −3.97082e10 | + | 4.97925e10i | −0.0689934 | + | 0.0865150i | ||||
\(872\) | 3.56073e10 | − | 7.39393e10i | 0.0615847 | − | 0.127882i | ||||
\(873\) | 1.13081e10 | + | 4.95439e10i | 0.0194685 | + | 0.0852969i | ||||
\(874\) | 5.45937e10 | + | 2.62910e10i | 0.0935615 | + | 0.0450568i | ||||
\(875\) | 2.16210e10 | + | 2.71119e10i | 0.0368845 | + | 0.0462517i | ||||
\(876\) | 3.64728e10 | − | 1.59798e11i | 0.0619374 | − | 0.271365i | ||||
\(877\) | −2.11543e10 | + | 9.26831e10i | −0.0357603 | + | 0.156676i | −0.989656 | − | 0.143463i | \(-0.954176\pi\) |
0.953895 | + | 0.300139i | \(0.0970332\pi\) | |||||||
\(878\) | 1.50615e11 | + | 3.12756e11i | 0.253449 | + | 0.526293i | ||||
\(879\) | −3.95565e11 | + | 3.15453e11i | −0.662617 | + | 0.528419i | ||||
\(880\) | −4.89737e10 | − | 3.90552e10i | −0.0816642 | − | 0.0651251i | ||||
\(881\) | −5.36826e11 | + | 2.58522e11i | −0.891107 | + | 0.429135i | −0.822669 | − | 0.568521i | \(-0.807516\pi\) |
−0.0684383 | + | 0.997655i | \(0.521802\pi\) | |||||||
\(882\) | 2.10537e11 | + | 4.37184e11i | 0.347899 | + | 0.722420i | ||||
\(883\) | −3.82564e11 | + | 4.79720e11i | −0.629305 | + | 0.789124i | −0.989620 | − | 0.143707i | \(-0.954098\pi\) |
0.360315 | + | 0.932831i | \(0.382669\pi\) | |||||||
\(884\) | 4.25422e11 | + | 5.33462e11i | 0.696644 | + | 0.873564i | ||||
\(885\) | 2.90943e10 | − | 1.40111e10i | 0.0474279 | − | 0.0228401i | ||||
\(886\) | −3.71112e11 | − | 8.47039e10i | −0.602241 | − | 0.137458i | ||||
\(887\) | 9.99824e10 | + | 2.28203e10i | 0.161521 | + | 0.0368661i | 0.302517 | − | 0.953144i | \(-0.402173\pi\) |
−0.140996 | + | 0.990010i | \(0.545030\pi\) | |||||||
\(888\) | 4.12756e10 | − | 3.29162e10i | 0.0663807 | − | 0.0529369i | ||||
\(889\) | −3.21070e10 | + | 6.66709e10i | −0.0514035 | + | 0.106741i | ||||
\(890\) | 9.36453e10 | − | 2.13739e10i | 0.149254 | − | 0.0340663i | ||||
\(891\) | 5.12884e10 | + | 2.46992e10i | 0.0813782 | + | 0.0391897i | ||||
\(892\) | 1.03823e12 | + | 8.27957e11i | 1.63996 | + | 1.30782i | ||||
\(893\) | 2.85362e10 | + | 6.51321e9i | 0.0448736 | + | 0.0102421i | ||||
\(894\) | −2.99373e11 | − | 2.38742e11i | −0.468665 | − | 0.373748i | ||||
\(895\) | −1.46307e10 | − | 6.41011e10i | −0.0228019 | − | 0.0999018i | ||||
\(896\) | −9.40134e10 | −0.145867 | ||||||||
\(897\) | 2.87277e11i | 0.443743i | ||||||||
\(898\) | −1.39888e11 | − | 6.12889e11i | −0.215117 | − | 0.942489i | ||||
\(899\) | 4.03644e10 | − | 3.21895e10i | 0.0617959 | − | 0.0492806i | ||||
\(900\) | 4.04900e11 | − | 1.94990e11i | 0.617132 | − | 0.297195i | ||||
\(901\) | −8.14272e11 | − | 3.92133e11i | −1.23558 | − | 0.595023i | ||||
\(902\) | − | 6.17282e11i | − | 0.932518i | ||||||
\(903\) | −1.06359e11 | + | 4.35435e10i | −0.159964 | + | 0.0654896i | ||||
\(904\) | −5.74075e10 | −0.0859598 | ||||||||
\(905\) | −4.82050e9 | + | 1.00099e10i | −0.00718618 | + | 0.0149222i | ||||
\(906\) | −2.00045e11 | − | 4.15397e11i | −0.296902 | − | 0.616524i | ||||
\(907\) | 3.32462e11 | + | 4.16895e11i | 0.491262 | + | 0.616023i | 0.964233 | − | 0.265054i | \(-0.0853899\pi\) |
−0.472971 | + | 0.881078i | \(0.656819\pi\) | |||||||
\(908\) | 9.08749e11 | − | 2.07416e11i | 1.33691 | − | 0.305140i | ||||
\(909\) | −2.56234e11 | −0.375303 | ||||||||
\(910\) | − | 3.09992e10i | − | 0.0452048i | ||||||
\(911\) | −2.44729e11 | + | 5.58579e10i | −0.355314 | + | 0.0810982i | −0.396452 | − | 0.918055i | \(-0.629759\pi\) |
0.0411380 | + | 0.999153i | \(0.486902\pi\) | |||||||
\(912\) | −2.26687e10 | + | 2.84257e10i | −0.0327678 | + | 0.0410895i | ||||
\(913\) | 1.54224e11 | − | 6.75699e11i | 0.221957 | − | 0.972456i | ||||
\(914\) | 9.20573e11 | − | 1.15436e12i | 1.31909 | − | 1.65408i | ||||
\(915\) | −1.83441e10 | + | 3.80920e10i | −0.0261706 | + | 0.0543437i | ||||
\(916\) | 3.21584e10 | + | 1.40895e11i | 0.0456786 | + | 0.200131i | ||||
\(917\) | −5.44451e10 | − | 2.62194e10i | −0.0769984 | − | 0.0370805i | ||||
\(918\) | 6.13044e11 | + | 7.68732e11i | 0.863218 | + | 1.08244i | ||||
\(919\) | 1.66005e11 | − | 7.27317e11i | 0.232734 | − | 1.01967i | −0.714627 | − | 0.699506i | \(-0.753403\pi\) |
0.947361 | − | 0.320169i | \(-0.103740\pi\) | |||||||
\(920\) | −3.28483e9 | + | 1.43918e10i | −0.00458523 | + | 0.0200892i | ||||
\(921\) | 3.56501e10 | + | 7.40283e10i | 0.0495476 | + | 0.102887i | ||||
\(922\) | 9.34019e11 | − | 7.44855e11i | 1.29250 | − | 1.03074i | ||||
\(923\) | −2.12723e11 | − | 1.69641e11i | −0.293095 | − | 0.233736i | ||||
\(924\) | −1.63030e11 | + | 7.85109e10i | −0.223655 | + | 0.107707i | ||||
\(925\) | 1.49135e11 | + | 3.09682e11i | 0.203710 | + | 0.423008i | ||||
\(926\) | 5.34975e10 | − | 6.70838e10i | 0.0727595 | − | 0.0912376i | ||||
\(927\) | 3.46805e11 | + | 4.34880e11i | 0.469642 | + | 0.588912i | ||||
\(928\) | 2.34338e11 | − | 1.12851e11i | 0.315974 | − | 0.152165i | ||||
\(929\) | −1.51632e11 | − | 3.46090e10i | −0.203577 | − | 0.0464650i | 0.119517 | − | 0.992832i | \(-0.461866\pi\) |
−0.323093 | + | 0.946367i | \(0.604723\pi\) | |||||||
\(930\) | −2.48410e10 | − | 5.66980e9i | −0.0332076 | − | 0.00757942i | ||||
\(931\) | −5.71323e10 | + | 4.55615e10i | −0.0760472 | + | 0.0606456i | ||||
\(932\) | 5.29628e11 | − | 1.09978e12i | 0.701952 | − | 1.45762i | ||||
\(933\) | 5.21394e11 | − | 1.19005e11i | 0.688081 | − | 0.157050i | ||||
\(934\) | 4.63452e11 | + | 2.23187e11i | 0.608999 | + | 0.293279i | ||||
\(935\) | −7.35459e10 | − | 5.86509e10i | −0.0962304 | − | 0.0767412i | ||||
\(936\) | −1.24327e11 | − | 2.83769e10i | −0.161981 | − | 0.0369710i | ||||
\(937\) | −6.53385e11 | − | 5.21057e11i | −0.847639 | − | 0.675969i | 0.100114 | − | 0.994976i | \(-0.468079\pi\) |
−0.947752 | + | 0.319007i | \(0.896651\pi\) | |||||||
\(938\) | −7.35765e9 | − | 3.22360e10i | −0.00950447 | − | 0.0416418i | ||||
\(939\) | −7.39187e11 | −0.950806 | ||||||||
\(940\) | 4.52077e10i | 0.0579030i | ||||||||
\(941\) | 2.52265e11 | + | 1.10524e12i | 0.321735 | + | 1.40961i | 0.834464 | + | 0.551062i | \(0.185777\pi\) |
−0.512729 | + | 0.858550i | \(0.671365\pi\) | |||||||
\(942\) | −7.48705e11 | + | 5.97073e11i | −0.950840 | + | 0.758269i | ||||
\(943\) | 2.48829e11 | − | 1.19830e11i | 0.314670 | − | 0.151537i | ||||
\(944\) | −4.09025e11 | − | 1.96976e11i | −0.515064 | − | 0.248042i | ||||
\(945\) | − | 2.42476e10i | − | 0.0304047i | ||||||
\(946\) | −5.42833e11 | − | 1.32591e12i | −0.677800 | − | 1.65558i | ||||
\(947\) | 1.16727e11 | 0.145135 | 0.0725675 | − | 0.997364i | \(-0.476881\pi\) | ||||
0.0725675 | + | 0.997364i | \(0.476881\pi\) | |||||||
\(948\) | 3.73148e11 | − | 7.74849e11i | 0.462006 | − | 0.959365i | ||||
\(949\) | −1.31387e11 | − | 2.72828e11i | −0.161990 | − | 0.336375i | ||||
\(950\) | 7.77383e10 | + | 9.74807e10i | 0.0954422 | + | 0.119681i | ||||
\(951\) | 9.35273e11 | − | 2.13470e11i | 1.14345 | − | 0.260984i | ||||
\(952\) | −5.58763e10 | −0.0680268 | ||||||||
\(953\) | − | 6.43444e11i | − | 0.780080i | −0.920798 | − | 0.390040i | \(-0.872461\pi\) | ||
0.920798 | − | 0.390040i | \(-0.127539\pi\) | |||||||
\(954\) | 1.04404e12 | − | 2.38294e11i | 1.26044 | − | 0.287687i | ||||
\(955\) | 1.10461e11 | − | 1.38513e11i | 0.132799 | − | 0.166525i | ||||
\(956\) | 3.30710e10 | − | 1.44894e11i | 0.0395928 | − | 0.173467i | ||||
\(957\) | 1.00254e11 | − | 1.25714e11i | 0.119524 | − | 0.149878i | ||||
\(958\) | −4.80282e11 | + | 9.97316e11i | −0.570209 | + | 1.18405i | ||||
\(959\) | 5.37183e10 | + | 2.35355e11i | 0.0635108 | + | 0.278259i | ||||
\(960\) | −7.30391e10 | − | 3.51738e10i | −0.0859945 | − | 0.0414127i | ||||
\(961\) | −4.76761e11 | − | 5.97839e11i | −0.558994 | − | 0.700956i | ||||
\(962\) | 1.37598e11 | − | 6.02855e11i | 0.160661 | − | 0.703903i | ||||
\(963\) | −1.80409e11 | + | 7.90423e11i | −0.209774 | + | 0.919082i | ||||
\(964\) | 1.40383e11 | + | 2.91507e11i | 0.162557 | + | 0.337553i | ||||
\(965\) | −6.30703e10 | + | 5.02969e10i | −0.0727303 | + | 0.0580005i | ||||
\(966\) | −1.16609e11 | − | 9.29924e10i | −0.133913 | − | 0.106792i | ||||
\(967\) | −1.53225e12 | + | 7.37894e11i | −1.75237 | + | 0.843895i | −0.775110 | + | 0.631826i | \(0.782306\pi\) |
−0.977255 | + | 0.212069i | \(0.931980\pi\) | |||||||
\(968\) | −4.88702e10 | − | 1.01480e11i | −0.0556599 | − | 0.115579i | ||||
\(969\) | −3.40426e10 | + | 4.26881e10i | −0.0386125 | + | 0.0484185i | ||||
\(970\) | −1.35770e10 | − | 1.70250e10i | −0.0153361 | − | 0.0192309i | ||||
\(971\) | −6.54284e11 | + | 3.15087e11i | −0.736020 | + | 0.354449i | −0.764049 | − | 0.645159i | \(-0.776791\pi\) |
0.0280287 | + | 0.999607i | \(0.491077\pi\) | |||||||
\(972\) | −1.00575e12 | − | 2.29555e11i | −1.12674 | − | 0.257171i | ||||
\(973\) | −1.94661e11 | − | 4.44300e10i | −0.217183 | − | 0.0495707i | ||||
\(974\) | −1.92284e12 | + | 1.53342e12i | −2.13653 | + | 1.70382i | ||||
\(975\) | −2.56476e11 | + | 5.32578e11i | −0.283811 | + | 0.589339i | ||||
\(976\) | 5.79480e11 | − | 1.32263e11i | 0.638615 | − | 0.145760i | ||||
\(977\) | 1.07327e12 | + | 5.16858e11i | 1.17796 | + | 0.567274i | 0.917315 | − | 0.398161i | \(-0.130352\pi\) |
0.260642 | + | 0.965436i | \(0.416066\pi\) | |||||||
\(978\) | −9.82997e11 | − | 7.83914e11i | −1.07448 | − | 0.856866i | ||||
\(979\) | −1.00989e12 | − | 2.30500e11i | −1.09937 | − | 0.250923i | ||||
\(980\) | −8.82410e10 | − | 7.03698e10i | −0.0956678 | − | 0.0762925i | ||||
\(981\) | −6.16924e10 | − | 2.70292e11i | −0.0666125 | − | 0.291848i | ||||
\(982\) | −1.22819e12 | −1.32075 | ||||||||
\(983\) | 1.51360e12i | 1.62106i | 0.585699 | + | 0.810529i | \(0.300820\pi\) | ||||
−0.585699 | + | 0.810529i | \(0.699180\pi\) | |||||||
\(984\) | −1.94227e10 | − | 8.50966e10i | −0.0207172 | − | 0.0907678i | ||||
\(985\) | 3.73334e10 | − | 2.97724e10i | 0.0396600 | − | 0.0316278i | ||||
\(986\) | 2.83617e11 | − | 1.36583e11i | 0.300072 | − | 0.144507i | ||||
\(987\) | −6.49111e10 | − | 3.12595e10i | −0.0683991 | − | 0.0329393i | ||||
\(988\) | − | 1.21755e11i | − | 0.127779i | ||||||
\(989\) | 4.29105e11 | − | 4.76212e11i | 0.448517 | − | 0.497755i | ||||
\(990\) | 1.11462e11 | 0.116035 | ||||||||
\(991\) | −1.53102e11 | + | 3.17919e11i | −0.158740 | + | 0.329627i | −0.965136 | − | 0.261749i | \(-0.915701\pi\) |
0.806396 | + | 0.591376i | \(0.201415\pi\) | |||||||
\(992\) | 1.92850e11 | + | 4.00457e11i | 0.199146 | + | 0.413532i | ||||
\(993\) | 5.12637e11 | + | 6.42826e11i | 0.527245 | + | 0.661145i | ||||
\(994\) | 1.37718e11 | − | 3.14333e10i | 0.141074 | − | 0.0321992i | ||||
\(995\) | 1.86457e11 | 0.190233 | ||||||||
\(996\) | − | 6.21322e11i | − | 0.631364i | ||||||
\(997\) | 6.98765e11 | − | 1.59488e11i | 0.707213 | − | 0.161417i | 0.146238 | − | 0.989249i | \(-0.453283\pi\) |
0.560975 | + | 0.827833i | \(0.310426\pi\) | |||||||
\(998\) | −6.92839e11 | + | 8.68793e11i | −0.698410 | + | 0.875778i | ||||
\(999\) | 1.07629e11 | − | 4.71554e11i | 0.108061 | − | 0.473445i |
(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 | 43.9.f.a.22.5 | yes | 174 | |
43.2 | odd | 14 | inner | 43.9.f.a.2.5 | ✓ | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.f.a.2.5 | ✓ | 174 | 43.2 | odd | 14 | inner | |
43.9.f.a.22.5 | yes | 174 | 1.1 | even | 1 | trivial |