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 | 22.17 | ||
Character | \(\chi\) | \(=\) | 43.22 |
Dual form | 43.9.f.a.2.17 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.22586 | − | 6.69857i | 0.201616 | − | 0.418661i | −0.775506 | − | 0.631341i | \(-0.782505\pi\) |
0.977122 | + | 0.212680i | \(0.0682192\pi\) | |||||||
\(3\) | −59.4708 | − | 123.492i | −0.734207 | − | 1.52460i | −0.847360 | − | 0.531019i | \(-0.821809\pi\) |
0.113153 | − | 0.993578i | \(-0.463905\pi\) | |||||||
\(4\) | 125.149 | + | 156.932i | 0.488862 | + | 0.613014i | ||||
\(5\) | 267.347 | − | 61.0203i | 0.427756 | − | 0.0976325i | −0.00322237 | − | 0.999995i | \(-0.501026\pi\) |
0.430978 | + | 0.902362i | \(0.358169\pi\) | |||||||
\(6\) | −1019.07 | −0.786317 | ||||||||
\(7\) | − | 4439.62i | − | 1.84907i | −0.381096 | − | 0.924535i | \(-0.624453\pi\) | ||
0.381096 | − | 0.924535i | \(-0.375547\pi\) | |||||||
\(8\) | 3310.53 | − | 755.607i | 0.808235 | − | 0.184474i | ||||
\(9\) | −7622.86 | + | 9558.77i | −1.16184 | + | 1.45691i | ||||
\(10\) | 453.677 | − | 1987.69i | 0.0453677 | − | 0.198769i | ||||
\(11\) | 9758.16 | − | 12236.3i | 0.666496 | − | 0.835759i | −0.327538 | − | 0.944838i | \(-0.606219\pi\) |
0.994033 | + | 0.109079i | \(0.0347902\pi\) | |||||||
\(12\) | 11937.1 | − | 24787.7i | 0.575673 | − | 1.19540i | ||||
\(13\) | −6426.39 | − | 28155.8i | −0.225006 | − | 0.985814i | −0.953649 | − | 0.300921i | \(-0.902706\pi\) |
0.728643 | − | 0.684893i | \(-0.240151\pi\) | |||||||
\(14\) | −29739.1 | − | 14321.6i | −0.774133 | − | 0.372803i | ||||
\(15\) | −23434.9 | − | 29386.4i | −0.462911 | − | 0.580473i | ||||
\(16\) | −5816.43 | + | 25483.4i | −0.0887517 | + | 0.388846i | ||||
\(17\) | −28076.8 | + | 123012.i | −0.336164 | + | 1.47283i | 0.470805 | + | 0.882237i | \(0.343964\pi\) |
−0.806969 | + | 0.590594i | \(0.798894\pi\) | |||||||
\(18\) | 39439.8 | + | 81897.5i | 0.375703 | + | 0.780155i | ||||
\(19\) | −32798.7 | + | 26156.1i | −0.251676 | + | 0.200705i | −0.741199 | − | 0.671285i | \(-0.765743\pi\) |
0.489523 | + | 0.871991i | \(0.337171\pi\) | |||||||
\(20\) | 43034.2 | + | 34318.6i | 0.268964 | + | 0.214491i | ||||
\(21\) | −548259. | + | 264027.i | −2.81909 | + | 1.35760i | ||||
\(22\) | −50487.6 | − | 104838.i | −0.215523 | − | 0.447538i | ||||
\(23\) | 79756.2 | − | 100011.i | 0.285006 | − | 0.357386i | −0.618634 | − | 0.785679i | \(-0.712314\pi\) |
0.903640 | + | 0.428294i | \(0.140885\pi\) | |||||||
\(24\) | −290191. | − | 363889.i | −0.874661 | − | 1.09679i | ||||
\(25\) | −284190. | + | 136859.i | −0.727526 | + | 0.350358i | ||||
\(26\) | −209334. | − | 47779.2i | −0.458086 | − | 0.104555i | ||||
\(27\) | 757028. | + | 172787.i | 1.42448 | + | 0.325129i | ||||
\(28\) | 696716. | − | 555613.i | 1.13351 | − | 0.903941i | ||||
\(29\) | −182316. | + | 378582.i | −0.257770 | + | 0.535264i | −0.989186 | − | 0.146667i | \(-0.953145\pi\) |
0.731416 | + | 0.681931i | \(0.238860\pi\) | |||||||
\(30\) | −272445. | + | 62183.7i | −0.336352 | + | 0.0767700i | ||||
\(31\) | −447585. | − | 215545.i | −0.484650 | − | 0.233395i | 0.175571 | − | 0.984467i | \(-0.443823\pi\) |
−0.660221 | + | 0.751072i | \(0.729537\pi\) | |||||||
\(32\) | 831579. | + | 663162.i | 0.793055 | + | 0.632440i | ||||
\(33\) | −2.09142e6 | − | 477353.i | −1.76354 | − | 0.402517i | ||||
\(34\) | 733435. | + | 584895.i | 0.548840 | + | 0.437685i | ||||
\(35\) | −270907. | − | 1.18692e6i | −0.180529 | − | 0.790951i | ||||
\(36\) | −2.45406e6 | −1.46109 | ||||||||
\(37\) | − | 3.20443e6i | − | 1.70980i | −0.518796 | − | 0.854898i | \(-0.673620\pi\) | ||
0.518796 | − | 0.854898i | \(-0.326380\pi\) | |||||||
\(38\) | 69404.4 | + | 304081.i | 0.0332853 | + | 0.145833i | ||||
\(39\) | −3.09485e6 | + | 2.46806e6i | −1.33777 | + | 1.06683i | ||||
\(40\) | 838955. | − | 404019.i | 0.327717 | − | 0.157820i | ||||
\(41\) | 1.45071e6 | + | 698625.i | 0.513387 | + | 0.247234i | 0.672595 | − | 0.740011i | \(-0.265180\pi\) |
−0.159208 | + | 0.987245i | \(0.550894\pi\) | |||||||
\(42\) | 4.52427e6i | 1.45395i | ||||||||
\(43\) | 2.84092e6 | + | 1.90194e6i | 0.830970 | + | 0.556317i | ||||
\(44\) | 3.14149e6 | 0.838156 | ||||||||
\(45\) | −1.45467e6 | + | 3.02066e6i | −0.354744 | + | 0.736634i | ||||
\(46\) | −412649. | − | 856875.i | −0.0921615 | − | 0.191375i | ||||
\(47\) | −2.10850e6 | − | 2.64398e6i | −0.432098 | − | 0.541834i | 0.517343 | − | 0.855778i | \(-0.326921\pi\) |
−0.949441 | + | 0.313944i | \(0.898350\pi\) | |||||||
\(48\) | 3.49292e6 | − | 797235.i | 0.657996 | − | 0.150183i | ||||
\(49\) | −1.39454e7 | −2.41906 | ||||||||
\(50\) | 2.34515e6i | 0.375224i | ||||||||
\(51\) | 1.68608e7 | − | 3.84837e6i | 2.49229 | − | 0.568848i | ||||
\(52\) | 3.61428e6 | − | 4.53217e6i | 0.494321 | − | 0.619859i | ||||
\(53\) | −87123.4 | + | 381712.i | −0.0110416 | + | 0.0483763i | −0.980149 | − | 0.198264i | \(-0.936470\pi\) |
0.969107 | + | 0.246641i | \(0.0793267\pi\) | |||||||
\(54\) | 3.59949e6 | − | 4.51362e6i | 0.423317 | − | 0.530823i | ||||
\(55\) | 1.86215e6 | − | 3.86680e6i | 0.203500 | − | 0.422572i | ||||
\(56\) | −3.35461e6 | − | 1.46975e7i | −0.341106 | − | 1.49448i | ||||
\(57\) | 5.18064e6 | + | 2.49487e6i | 0.490777 | + | 0.236346i | ||||
\(58\) | 1.94783e6 | + | 2.44251e6i | 0.172123 | + | 0.215836i | ||||
\(59\) | 3.76090e6 | − | 1.64776e7i | 0.310373 | − | 1.35983i | −0.543526 | − | 0.839392i | \(-0.682911\pi\) |
0.853899 | − | 0.520439i | \(-0.174232\pi\) | |||||||
\(60\) | 1.67881e6 | − | 7.35535e6i | 0.129538 | − | 0.567542i | ||||
\(61\) | 8.30184e6 | + | 1.72390e7i | 0.599591 | + | 1.24506i | 0.951101 | + | 0.308880i | \(0.0999540\pi\) |
−0.351510 | + | 0.936184i | \(0.614332\pi\) | |||||||
\(62\) | −2.88769e6 | + | 2.30286e6i | −0.195427 | + | 0.155848i | ||||
\(63\) | 4.24373e7 | + | 3.38426e7i | 2.69392 | + | 2.14833i | ||||
\(64\) | 1.09593e6 | − | 527773.i | 0.0653227 | − | 0.0314578i | ||||
\(65\) | −3.43616e6 | − | 7.13525e6i | −0.192495 | − | 0.399720i | ||||
\(66\) | −9.94421e6 | + | 1.24696e7i | −0.524076 | + | 0.657171i | ||||
\(67\) | −1.58666e6 | − | 1.98960e6i | −0.0787378 | − | 0.0987341i | 0.740902 | − | 0.671613i | \(-0.234398\pi\) |
−0.819640 | + | 0.572879i | \(0.805827\pi\) | |||||||
\(68\) | −2.28183e7 | + | 1.09887e7i | −1.06720 | + | 0.513938i | ||||
\(69\) | −1.70938e7 | − | 3.90154e6i | −0.754122 | − | 0.172123i | ||||
\(70\) | −8.82458e6 | − | 2.01415e6i | −0.367538 | − | 0.0838881i | ||||
\(71\) | 5.07960e6 | − | 4.05084e6i | 0.199892 | − | 0.159409i | −0.518428 | − | 0.855121i | \(-0.673483\pi\) |
0.718320 | + | 0.695712i | \(0.244911\pi\) | |||||||
\(72\) | −1.80130e7 | + | 3.74045e7i | −0.670282 | + | 1.39185i | ||||
\(73\) | 4.41379e7 | − | 1.00742e7i | 1.55425 | − | 0.354747i | 0.642759 | − | 0.766069i | \(-0.277790\pi\) |
0.911490 | + | 0.411322i | \(0.134933\pi\) | |||||||
\(74\) | −2.14651e7 | − | 1.03371e7i | −0.715824 | − | 0.344723i | ||||
\(75\) | 3.38020e7 | + | 2.69562e7i | 1.06831 | + | 0.851948i | ||||
\(76\) | −8.20944e6 | − | 1.87375e6i | −0.246070 | − | 0.0561639i | ||||
\(77\) | −5.43247e7 | − | 4.33225e7i | −1.54538 | − | 1.23240i | ||||
\(78\) | 6.54891e6 | + | 2.86927e7i | 0.176926 | + | 0.775162i | ||||
\(79\) | −1.21891e7 | −0.312941 | −0.156471 | − | 0.987683i | \(-0.550012\pi\) | ||||
−0.156471 | + | 0.987683i | \(0.550012\pi\) | |||||||
\(80\) | 7.16785e6i | 0.174996i | ||||||||
\(81\) | −5.83355e6 | − | 2.55584e7i | −0.135517 | − | 0.593737i | ||||
\(82\) | 9.35958e6 | − | 7.46401e6i | 0.207015 | − | 0.165089i | ||||
\(83\) | 1.40212e7 | − | 6.75224e6i | 0.295442 | − | 0.142277i | −0.280291 | − | 0.959915i | \(-0.590431\pi\) |
0.575733 | + | 0.817638i | \(0.304717\pi\) | |||||||
\(84\) | −1.10048e8 | − | 5.29964e7i | −2.21037 | − | 1.06446i | ||||
\(85\) | 3.46003e7i | 0.662833i | ||||||||
\(86\) | 2.19047e7 | − | 1.28947e7i | 0.400445 | − | 0.235732i | ||||
\(87\) | 5.75944e7 | 1.00532 | ||||||||
\(88\) | 2.30588e7 | − | 4.78821e7i | 0.384509 | − | 0.798441i | ||||
\(89\) | −3.66602e7 | − | 7.61257e7i | −0.584299 | − | 1.21331i | −0.958269 | − | 0.285868i | \(-0.907718\pi\) |
0.373970 | − | 0.927441i | \(-0.377996\pi\) | |||||||
\(90\) | 1.55415e7 | + | 1.94885e7i | 0.236877 | + | 0.297035i | ||||
\(91\) | −1.25001e8 | + | 2.85307e7i | −1.82284 | + | 0.416051i | ||||
\(92\) | 2.56763e7 | 0.358411 | ||||||||
\(93\) | 6.80919e7i | 0.910256i | ||||||||
\(94\) | −2.45126e7 | + | 5.59484e6i | −0.313963 | + | 0.0716599i | ||||
\(95\) | −7.17260e6 | + | 8.99416e6i | −0.0880607 | + | 0.110425i | ||||
\(96\) | 3.24408e7 | − | 1.42132e8i | 0.381950 | − | 1.67343i | ||||
\(97\) | 6.71846e7 | − | 8.42468e7i | 0.758896 | − | 0.951626i | −0.240925 | − | 0.970544i | \(-0.577451\pi\) |
0.999821 | + | 0.0189178i | \(0.00602208\pi\) | |||||||
\(98\) | −4.49860e7 | + | 9.34143e7i | −0.487722 | + | 1.01277i | ||||
\(99\) | 4.25793e7 | + | 1.86552e8i | 0.443259 | + | 1.94204i | ||||
\(100\) | −5.70434e7 | − | 2.74707e7i | −0.570434 | − | 0.274707i | ||||
\(101\) | −7.93852e6 | − | 9.95459e6i | −0.0762876 | − | 0.0956617i | 0.742223 | − | 0.670153i | \(-0.233771\pi\) |
−0.818511 | + | 0.574491i | \(0.805200\pi\) | |||||||
\(102\) | 2.86121e7 | − | 1.25358e8i | 0.264331 | − | 1.15811i | ||||
\(103\) | −3.09037e7 | + | 1.35398e8i | −0.274575 | + | 1.20299i | 0.629971 | + | 0.776618i | \(0.283067\pi\) |
−0.904547 | + | 0.426375i | \(0.859791\pi\) | |||||||
\(104\) | −4.25495e7 | − | 8.83550e7i | −0.363715 | − | 0.755262i | ||||
\(105\) | −1.30465e8 | + | 1.04042e8i | −1.07333 | + | 0.855956i | ||||
\(106\) | 2.27588e6 | + | 1.81495e6i | 0.0180271 | + | 0.0143761i | ||||
\(107\) | −1.50641e7 | + | 7.25450e6i | −0.114924 | + | 0.0553443i | −0.490462 | − | 0.871462i | \(-0.663172\pi\) |
0.375539 | + | 0.926807i | \(0.377458\pi\) | |||||||
\(108\) | 6.76254e7 | + | 1.40426e8i | 0.497067 | + | 1.03217i | ||||
\(109\) | 8.18875e7 | − | 1.02684e8i | 0.580112 | − | 0.727437i | −0.402020 | − | 0.915631i | \(-0.631692\pi\) |
0.982132 | + | 0.188193i | \(0.0602632\pi\) | |||||||
\(110\) | −1.98950e7 | − | 2.49475e7i | −0.135885 | − | 0.170395i | ||||
\(111\) | −3.95723e8 | + | 1.90570e8i | −2.60675 | + | 1.25534i | ||||
\(112\) | 1.13137e8 | + | 2.58227e7i | 0.719004 | + | 0.164108i | ||||
\(113\) | 1.78748e8 | + | 4.07981e7i | 1.09630 | + | 0.250223i | 0.732167 | − | 0.681126i | \(-0.238509\pi\) |
0.364130 | + | 0.931348i | \(0.381366\pi\) | |||||||
\(114\) | 3.34241e7 | − | 2.66548e7i | 0.197897 | − | 0.157818i | ||||
\(115\) | 1.52199e7 | − | 3.16045e7i | 0.0870203 | − | 0.180700i | ||||
\(116\) | −8.22280e7 | + | 1.87680e7i | −0.454138 | + | 0.103654i | ||||
\(117\) | 3.18123e8 | + | 1.53200e8i | 1.69766 | + | 0.817550i | ||||
\(118\) | −9.82441e7 | − | 7.83470e7i | −0.506732 | − | 0.404105i | ||||
\(119\) | 5.46128e8 | + | 1.24650e8i | 2.72337 | + | 0.621591i | ||||
\(120\) | −9.97865e7 | − | 7.95771e7i | −0.481224 | − | 0.383763i | ||||
\(121\) | −6.80714e6 | − | 2.98240e7i | −0.0317558 | − | 0.139131i | ||||
\(122\) | 1.42257e8 | 0.642147 | ||||||||
\(123\) | − | 2.20699e8i | − | 0.964229i | ||||||
\(124\) | −2.21888e7 | − | 9.72154e7i | −0.0938527 | − | 0.411195i | ||||
\(125\) | −1.51375e8 | + | 1.20717e8i | −0.620031 | + | 0.494458i | ||||
\(126\) | 3.63594e8 | − | 1.75098e8i | 1.44256 | − | 0.694701i | ||||
\(127\) | −5.59038e7 | − | 2.69218e7i | −0.214895 | − | 0.103488i | 0.323340 | − | 0.946283i | \(-0.395194\pi\) |
−0.538235 | + | 0.842795i | \(0.680909\pi\) | |||||||
\(128\) | 2.63245e8i | 0.980665i | ||||||||
\(129\) | 6.59229e7 | − | 4.63942e8i | 0.238055 | − | 1.67535i | ||||
\(130\) | −5.88805e7 | −0.206157 | ||||||||
\(131\) | 1.97134e8 | − | 4.09353e8i | 0.669386 | − | 1.38999i | −0.238651 | − | 0.971105i | \(-0.576705\pi\) |
0.908037 | − | 0.418889i | \(-0.137580\pi\) | |||||||
\(132\) | −1.86827e8 | − | 3.87950e8i | −0.615380 | − | 1.27785i | ||||
\(133\) | 1.16123e8 | + | 1.45614e8i | 0.371118 | + | 0.465368i | ||||
\(134\) | −1.84458e7 | + | 4.21014e6i | −0.0572109 | + | 0.0130580i | ||||
\(135\) | 2.12933e8 | 0.641073 | ||||||||
\(136\) | 4.28451e8i | 1.25241i | ||||||||
\(137\) | −5.79927e8 | + | 1.32365e8i | −1.64623 | + | 0.375742i | −0.942364 | − | 0.334590i | \(-0.891402\pi\) |
−0.703868 | + | 0.710331i | \(0.748545\pi\) | |||||||
\(138\) | −8.12769e7 | + | 1.01918e8i | −0.224105 | + | 0.281018i | ||||
\(139\) | 8.11894e7 | − | 3.55714e8i | 0.217490 | − | 0.952888i | −0.741834 | − | 0.670583i | \(-0.766044\pi\) |
0.959325 | − | 0.282305i | \(-0.0910989\pi\) | |||||||
\(140\) | 1.52362e8 | − | 1.91055e8i | 0.396610 | − | 0.497333i | ||||
\(141\) | −2.01117e8 | + | 4.17623e8i | −0.508828 | + | 1.05659i | ||||
\(142\) | −1.07488e7 | − | 4.70935e7i | −0.0264366 | − | 0.115826i | ||||
\(143\) | −4.07234e8 | − | 1.96114e8i | −0.973868 | − | 0.468990i | ||||
\(144\) | −1.99252e8 | − | 2.49855e8i | −0.463397 | − | 0.581082i | ||||
\(145\) | −2.56404e7 | + | 1.12338e8i | −0.0580033 | + | 0.254129i | ||||
\(146\) | 7.49002e7 | − | 3.28159e8i | 0.164843 | − | 0.722226i | ||||
\(147\) | 8.29344e8 | + | 1.72215e9i | 1.77609 | + | 3.68809i | ||||
\(148\) | 5.02877e8 | − | 4.01031e8i | 1.04813 | − | 0.835855i | ||||
\(149\) | 4.84018e8 | + | 3.85991e8i | 0.982010 | + | 0.783127i | 0.976204 | − | 0.216856i | \(-0.0695802\pi\) |
0.00580683 | + | 0.999983i | \(0.498152\pi\) | |||||||
\(150\) | 2.89608e8 | − | 1.39468e8i | 0.572066 | − | 0.275492i | ||||
\(151\) | 3.27705e8 | + | 6.80486e8i | 0.630340 | + | 1.30892i | 0.934387 | + | 0.356258i | \(0.115948\pi\) |
−0.304047 | + | 0.952657i | \(0.598338\pi\) | |||||||
\(152\) | −8.88175e7 | + | 1.11374e8i | −0.166389 | + | 0.208645i | ||||
\(153\) | −9.61821e8 | − | 1.20608e9i | −1.75521 | − | 2.20096i | ||||
\(154\) | −4.65443e8 | + | 2.24145e8i | −0.827530 | + | 0.398517i | ||||
\(155\) | −1.32813e8 | − | 3.03138e7i | −0.230099 | − | 0.0525186i | ||||
\(156\) | −7.74632e8 | − | 1.76805e8i | −1.30797 | − | 0.298535i | ||||
\(157\) | 9.74352e7 | − | 7.77020e7i | 0.160368 | − | 0.127889i | −0.540018 | − | 0.841653i | \(-0.681583\pi\) |
0.700386 | + | 0.713764i | \(0.253011\pi\) | |||||||
\(158\) | −3.93203e7 | + | 8.16494e7i | −0.0630940 | + | 0.131016i | ||||
\(159\) | 5.23198e7 | − | 1.19417e7i | 0.0818612 | − | 0.0186843i | ||||
\(160\) | 2.62787e8 | + | 1.26551e8i | 0.400981 | + | 0.193102i | ||||
\(161\) | −4.44011e8 | − | 3.54087e8i | −0.660831 | − | 0.526995i | ||||
\(162\) | −1.90023e8 | − | 4.33716e7i | −0.275897 | − | 0.0629716i | ||||
\(163\) | 1.89606e8 | + | 1.51206e8i | 0.268597 | + | 0.214199i | 0.748521 | − | 0.663111i | \(-0.230764\pi\) |
−0.479924 | + | 0.877310i | \(0.659336\pi\) | |||||||
\(164\) | 7.19182e7 | + | 3.15094e8i | 0.0994176 | + | 0.435577i | ||||
\(165\) | −5.88264e8 | −0.793664 | ||||||||
\(166\) | − | 1.15704e8i | − | 0.152375i | ||||||
\(167\) | −1.60267e8 | − | 7.02178e8i | −0.206053 | − | 0.902778i | −0.967163 | − | 0.254156i | \(-0.918202\pi\) |
0.761110 | − | 0.648623i | \(-0.224655\pi\) | |||||||
\(168\) | −1.61553e9 | + | 1.28834e9i | −2.02804 | + | 1.61731i | ||||
\(169\) | −1.65048e7 | + | 7.94830e6i | −0.0202332 | + | 0.00974377i | ||||
\(170\) | 2.31772e8 | + | 1.11616e8i | 0.277502 | + | 0.133638i | ||||
\(171\) | − | 5.12900e8i | − | 0.599858i | ||||||
\(172\) | 5.70637e7 | + | 6.83855e8i | 0.0651997 | + | 0.781359i | ||||
\(173\) | 1.48476e9 | 1.65757 | 0.828783 | − | 0.559571i | \(-0.189034\pi\) | ||||
0.828783 | + | 0.559571i | \(0.189034\pi\) | |||||||
\(174\) | 1.85792e8 | − | 3.85800e8i | 0.202688 | − | 0.420887i | ||||
\(175\) | 6.07600e8 | + | 1.26169e9i | 0.647837 | + | 1.34525i | ||||
\(176\) | 2.55067e8 | + | 3.19843e8i | 0.265829 | + | 0.333339i | ||||
\(177\) | −2.25852e9 | + | 5.15492e8i | −2.30107 | + | 0.525205i | ||||
\(178\) | −6.28194e8 | −0.625769 | ||||||||
\(179\) | − | 1.66132e9i | − | 1.61824i | −0.587646 | − | 0.809118i | \(-0.699945\pi\) | ||
0.587646 | − | 0.809118i | \(-0.300055\pi\) | |||||||
\(180\) | −6.56087e8 | + | 1.49748e8i | −0.624988 | + | 0.142649i | ||||
\(181\) | 1.50914e8 | − | 1.89240e8i | 0.140609 | − | 0.176319i | −0.706540 | − | 0.707673i | \(-0.749745\pi\) |
0.847150 | + | 0.531354i | \(0.178317\pi\) | |||||||
\(182\) | −2.12122e8 | + | 9.29365e8i | −0.193330 | + | 0.847034i | ||||
\(183\) | 1.63516e9 | − | 2.05043e9i | 1.45800 | − | 1.82827i | ||||
\(184\) | 1.88466e8 | − | 3.91354e8i | 0.164423 | − | 0.341428i | ||||
\(185\) | −1.95535e8 | − | 8.56697e8i | −0.166932 | − | 0.731375i | ||||
\(186\) | 4.56118e8 | + | 2.19655e8i | 0.381089 | + | 0.183523i | ||||
\(187\) | 1.23124e9 | + | 1.54393e9i | 1.00688 | + | 1.26259i | ||||
\(188\) | 1.51047e8 | − | 6.61780e8i | 0.120915 | − | 0.529764i | ||||
\(189\) | 7.67107e8 | − | 3.36091e9i | 0.601186 | − | 2.63397i | ||||
\(190\) | 3.71102e7 | + | 7.70601e7i | 0.0284760 | + | 0.0591310i | ||||
\(191\) | −6.91272e8 | + | 5.51271e8i | −0.519416 | + | 0.414221i | −0.847794 | − | 0.530326i | \(-0.822070\pi\) |
0.328378 | + | 0.944546i | \(0.393498\pi\) | |||||||
\(192\) | −1.30352e8 | − | 1.03952e8i | −0.0959207 | − | 0.0764942i | ||||
\(193\) | −1.71982e9 | + | 8.28222e8i | −1.23952 | + | 0.596922i | −0.934683 | − | 0.355482i | \(-0.884317\pi\) |
−0.304838 | + | 0.952404i | \(0.598602\pi\) | |||||||
\(194\) | −3.47605e8 | − | 7.21809e8i | −0.245402 | − | 0.509583i | ||||
\(195\) | −6.76798e8 | + | 8.48678e8i | −0.468080 | + | 0.586954i | ||||
\(196\) | −1.74525e9 | − | 2.18847e9i | −1.18259 | − | 1.48292i | ||||
\(197\) | −3.86774e8 | + | 1.86260e8i | −0.256798 | + | 0.123667i | −0.557854 | − | 0.829939i | \(-0.688375\pi\) |
0.301056 | + | 0.953606i | \(0.402661\pi\) | |||||||
\(198\) | 1.38699e9 | + | 3.16571e8i | 0.902426 | + | 0.205973i | ||||
\(199\) | −2.66147e8 | − | 6.07462e7i | −0.169710 | − | 0.0387353i | 0.136821 | − | 0.990596i | \(-0.456311\pi\) |
−0.306532 | + | 0.951860i | \(0.599169\pi\) | |||||||
\(200\) | −8.37408e8 | + | 6.67811e8i | −0.523380 | + | 0.417382i | ||||
\(201\) | −1.51341e8 | + | 3.14263e8i | −0.0927198 | + | 0.192535i | ||||
\(202\) | −9.22901e7 | + | 2.10646e7i | −0.0554306 | + | 0.0126517i | ||||
\(203\) | 1.68076e9 | + | 8.09411e8i | 0.989741 | + | 0.476634i | ||||
\(204\) | 2.71404e9 | + | 2.16438e9i | 1.56710 | + | 1.24972i | ||||
\(205\) | 4.30474e8 | + | 9.82528e7i | 0.243743 | + | 0.0556326i | ||||
\(206\) | 8.07281e8 | + | 6.43786e8i | 0.448287 | + | 0.357497i | ||||
\(207\) | 3.48012e8 | + | 1.52474e9i | 0.189545 | + | 0.830453i | ||||
\(208\) | 7.54886e8 | 0.403300 | ||||||||
\(209\) | 6.56572e8i | 0.344110i | ||||||||
\(210\) | 2.76072e8 | + | 1.20955e9i | 0.141953 | + | 0.621938i | ||||
\(211\) | −7.01600e8 | + | 5.59507e8i | −0.353964 | + | 0.282277i | −0.784287 | − | 0.620398i | \(-0.786971\pi\) |
0.430323 | + | 0.902675i | \(0.358400\pi\) | |||||||
\(212\) | −7.08061e7 | + | 3.40984e7i | −0.0350532 | + | 0.0168807i | ||||
\(213\) | −8.02336e8 | − | 3.86385e8i | −0.389796 | − | 0.187716i | ||||
\(214\) | 1.24310e8i | 0.0592723i | ||||||||
\(215\) | 8.75570e8 | + | 3.35124e8i | 0.409767 | + | 0.156838i | ||||
\(216\) | 2.63672e9 | 1.21129 | ||||||||
\(217\) | −9.56939e8 | + | 1.98711e9i | −0.431564 | + | 0.896153i | ||||
\(218\) | −4.23676e8 | − | 8.79773e8i | −0.187589 | − | 0.389533i | ||||
\(219\) | −3.86900e9 | − | 4.85158e9i | −1.68199 | − | 2.10914i | ||||
\(220\) | 8.39869e8 | − | 1.91695e8i | 0.358526 | − | 0.0818313i | ||||
\(221\) | 3.64395e9 | 1.52758 | ||||||||
\(222\) | 3.26553e9i | 1.34444i | ||||||||
\(223\) | −3.40595e9 | + | 7.77386e8i | −1.37727 | + | 0.314353i | −0.846151 | − | 0.532944i | \(-0.821086\pi\) |
−0.531120 | + | 0.847297i | \(0.678229\pi\) | |||||||
\(224\) | 2.94419e9 | − | 3.69189e9i | 1.16943 | − | 1.46642i | ||||
\(225\) | 8.58140e8 | − | 3.75976e9i | 0.334833 | − | 1.46700i | ||||
\(226\) | 8.49906e8 | − | 1.06575e9i | 0.325790 | − | 0.408527i | ||||
\(227\) | 2.19015e9 | − | 4.54790e9i | 0.824843 | − | 1.71280i | 0.132564 | − | 0.991175i | \(-0.457679\pi\) |
0.692279 | − | 0.721630i | \(-0.256607\pi\) | |||||||
\(228\) | 2.56828e8 | + | 1.12524e9i | 0.0950392 | + | 0.416394i | ||||
\(229\) | −7.19544e8 | − | 3.46514e8i | −0.261647 | − | 0.126002i | 0.298462 | − | 0.954421i | \(-0.403526\pi\) |
−0.560109 | + | 0.828419i | \(0.689241\pi\) | |||||||
\(230\) | −1.62607e8 | − | 2.03903e8i | −0.0581071 | − | 0.0728640i | ||||
\(231\) | −2.11926e9 | + | 9.28511e9i | −0.744282 | + | 3.26091i | ||||
\(232\) | −3.17502e8 | + | 1.39107e9i | −0.109596 | + | 0.480171i | ||||
\(233\) | −4.22565e8 | − | 8.77465e8i | −0.143374 | − | 0.297719i | 0.816900 | − | 0.576780i | \(-0.195691\pi\) |
−0.960273 | + | 0.279061i | \(0.909977\pi\) | |||||||
\(234\) | 2.05244e9 | − | 1.63676e9i | 0.684552 | − | 0.545912i | ||||
\(235\) | −7.25038e8 | − | 5.78199e8i | −0.237733 | − | 0.189586i | ||||
\(236\) | 3.05652e9 | − | 1.47194e9i | 0.985325 | − | 0.474508i | ||||
\(237\) | 7.24894e8 | + | 1.50526e9i | 0.229763 | + | 0.477109i | ||||
\(238\) | 2.59671e9 | − | 3.25617e9i | 0.809311 | − | 1.01484i | ||||
\(239\) | −1.46878e9 | − | 1.84179e9i | −0.450157 | − | 0.564479i | 0.504032 | − | 0.863685i | \(-0.331850\pi\) |
−0.954188 | + | 0.299206i | \(0.903278\pi\) | |||||||
\(240\) | 8.85174e8 | − | 4.26278e8i | 0.266799 | − | 0.128484i | ||||
\(241\) | 2.34735e9 | + | 5.35768e8i | 0.695841 | + | 0.158821i | 0.555790 | − | 0.831323i | \(-0.312416\pi\) |
0.140052 | + | 0.990144i | \(0.455273\pi\) | |||||||
\(242\) | −2.21737e8 | − | 5.06101e7i | −0.0646513 | − | 0.0147562i | ||||
\(243\) | 1.17377e9 | − | 9.36047e8i | 0.336633 | − | 0.268456i | ||||
\(244\) | −1.66637e9 | + | 3.46025e9i | −0.470124 | + | 0.976222i | ||||
\(245\) | −3.72827e9 | + | 8.50953e8i | −1.03477 | + | 0.236179i | ||||
\(246\) | −1.47837e9 | − | 7.11945e8i | −0.403685 | − | 0.194404i | ||||
\(247\) | 9.47225e8 | + | 7.55386e8i | 0.254487 | + | 0.202946i | ||||
\(248\) | −1.64461e9 | − | 3.75372e8i | −0.434767 | − | 0.0992327i | ||||
\(249\) | −1.66770e9 | − | 1.32995e9i | −0.433831 | − | 0.345968i | ||||
\(250\) | 3.20319e8 | + | 1.40341e9i | 0.0820018 | + | 0.359273i | ||||
\(251\) | 5.15346e9 | 1.29839 | 0.649193 | − | 0.760624i | \(-0.275107\pi\) | ||||
0.649193 | + | 0.760624i | \(0.275107\pi\) | |||||||
\(252\) | 1.08951e10i | 2.70165i | ||||||||
\(253\) | −4.45497e8 | − | 1.95185e9i | −0.108733 | − | 0.476392i | ||||
\(254\) | −3.60676e8 | + | 2.87629e8i | −0.0866527 | + | 0.0691032i | ||||
\(255\) | 4.27287e9 | − | 2.05770e9i | 1.01055 | − | 0.486656i | ||||
\(256\) | 2.04393e9 | + | 9.84303e8i | 0.475889 | + | 0.229176i | ||||
\(257\) | − | 5.34213e9i | − | 1.22457i | −0.790639 | − | 0.612283i | \(-0.790251\pi\) | ||
0.790639 | − | 0.612283i | \(-0.209749\pi\) | |||||||
\(258\) | −2.89509e9 | − | 1.93820e9i | −0.653406 | − | 0.437441i | ||||
\(259\) | −1.42265e10 | −3.16153 | ||||||||
\(260\) | 6.89715e8 | − | 1.43221e9i | 0.150930 | − | 0.313410i | ||||
\(261\) | −2.22901e9 | − | 4.62859e9i | −0.480342 | − | 0.997440i | ||||
\(262\) | −2.10615e9 | − | 2.64103e9i | −0.446977 | − | 0.560491i | ||||
\(263\) | 1.06778e9 | − | 2.43713e8i | 0.223181 | − | 0.0509396i | −0.109468 | − | 0.993990i | \(-0.534915\pi\) |
0.332649 | + | 0.943051i | \(0.392058\pi\) | |||||||
\(264\) | −7.28440e9 | −1.49961 | ||||||||
\(265\) | 1.07366e8i | 0.0217713i | ||||||||
\(266\) | 1.35000e9 | − | 3.08129e8i | 0.269655 | − | 0.0615469i | ||||
\(267\) | −7.22073e9 | + | 9.05451e9i | −1.42081 | + | 1.78164i | ||||
\(268\) | 1.13664e8 | − | 4.97993e8i | 0.0220334 | − | 0.0965348i | ||||
\(269\) | −6.82667e8 | + | 8.56038e8i | −0.130377 | + | 0.163487i | −0.842735 | − | 0.538329i | \(-0.819056\pi\) |
0.712358 | + | 0.701816i | \(0.247627\pi\) | |||||||
\(270\) | 6.86892e8 | − | 1.42635e9i | 0.129251 | − | 0.268392i | ||||
\(271\) | −6.31891e8 | − | 2.76849e9i | −0.117156 | − | 0.513294i | −0.999119 | − | 0.0419749i | \(-0.986635\pi\) |
0.881963 | − | 0.471319i | \(-0.156222\pi\) | |||||||
\(272\) | −2.97147e9 | − | 1.43098e9i | −0.542870 | − | 0.261432i | ||||
\(273\) | 1.09572e10 | + | 1.37399e10i | 1.97265 | + | 2.47363i | ||||
\(274\) | −9.84111e8 | + | 4.31167e9i | −0.174599 | + | 0.764968i | ||||
\(275\) | −1.09852e9 | + | 4.81293e9i | −0.192078 | + | 0.841548i | ||||
\(276\) | −1.52699e9 | − | 3.17082e9i | −0.263148 | − | 0.546432i | ||||
\(277\) | −5.78427e9 | + | 4.61280e9i | −0.982493 | + | 0.783512i | −0.976290 | − | 0.216468i | \(-0.930546\pi\) |
−0.00620375 | + | 0.999981i | \(0.501975\pi\) | |||||||
\(278\) | −2.12087e9 | − | 1.69134e9i | −0.355087 | − | 0.283172i | ||||
\(279\) | 5.47222e9 | − | 2.63528e9i | 0.903123 | − | 0.434921i | ||||
\(280\) | −1.79369e9 | − | 3.72464e9i | −0.291820 | − | 0.605971i | ||||
\(281\) | 1.19715e9 | − | 1.50118e9i | 0.192010 | − | 0.240773i | −0.676502 | − | 0.736440i | \(-0.736505\pi\) |
0.868512 | + | 0.495668i | \(0.165077\pi\) | |||||||
\(282\) | 2.14870e9 | + | 2.69439e9i | 0.339766 | + | 0.426053i | ||||
\(283\) | 1.71820e9 | − | 8.27440e8i | 0.267872 | − | 0.129000i | −0.295127 | − | 0.955458i | \(-0.595362\pi\) |
0.562999 | + | 0.826458i | \(0.309648\pi\) | |||||||
\(284\) | 1.27141e9 | + | 2.90191e8i | 0.195440 | + | 0.0446078i | ||||
\(285\) | 1.53727e9 | + | 3.50872e8i | 0.233008 | + | 0.0531825i | ||||
\(286\) | −2.62736e9 | + | 2.09525e9i | −0.392696 | + | 0.313164i | ||||
\(287\) | 3.10163e9 | − | 6.44060e9i | 0.457154 | − | 0.949289i | ||||
\(288\) | −1.26780e10 | + | 2.89367e9i | −1.84281 | + | 0.420610i | ||||
\(289\) | −8.05878e9 | − | 3.88091e9i | −1.15526 | − | 0.556342i | ||||
\(290\) | 6.69791e8 | + | 5.34140e8i | 0.0946994 | + | 0.0755202i | ||||
\(291\) | −1.43993e10 | − | 3.28656e9i | −2.00803 | − | 0.458320i | ||||
\(292\) | 7.10477e9 | + | 5.66586e9i | 0.977279 | + | 0.779354i | ||||
\(293\) | 1.24901e8 | + | 5.47228e8i | 0.0169471 | + | 0.0742503i | 0.982694 | − | 0.185234i | \(-0.0593044\pi\) |
−0.965747 | + | 0.259485i | \(0.916447\pi\) | |||||||
\(294\) | 1.42113e10 | 1.90215 | ||||||||
\(295\) | − | 4.63473e9i | − | 0.611979i | ||||||
\(296\) | −2.42129e9 | − | 1.06084e10i | −0.315414 | − | 1.38192i | ||||
\(297\) | 9.50147e9 | − | 7.57717e9i | 1.22114 | − | 0.973826i | ||||
\(298\) | 4.14696e9 | − | 1.99707e9i | 0.525854 | − | 0.253238i | ||||
\(299\) | −3.32844e9 | − | 1.60289e9i | −0.416444 | − | 0.200549i | ||||
\(300\) | 8.67812e9i | 1.07137i | ||||||||
\(301\) | 8.44388e9 | − | 1.26126e10i | 1.02867 | − | 1.53652i | ||||
\(302\) | 5.61542e9 | 0.675078 | ||||||||
\(303\) | −7.57206e8 | + | 1.57235e9i | −0.0898345 | + | 0.186543i | ||||
\(304\) | −4.75776e8 | − | 9.87960e8i | −0.0557068 | − | 0.115676i | ||||
\(305\) | 3.27140e9 | + | 4.10221e9i | 0.378037 | + | 0.474044i | ||||
\(306\) | −1.11817e10 | + | 2.55216e9i | −1.27533 | + | 0.291087i | ||||
\(307\) | 6.34807e9 | 0.714642 | 0.357321 | − | 0.933982i | \(-0.383690\pi\) | ||||
0.357321 | + | 0.933982i | \(0.383690\pi\) | |||||||
\(308\) | − | 1.39470e10i | − | 1.54981i | ||||||
\(309\) | 1.85585e10 | − | 4.23585e9i | 2.03567 | − | 0.464629i | ||||
\(310\) | −6.31496e8 | + | 7.91871e8i | −0.0683792 | + | 0.0857448i | ||||
\(311\) | −1.62356e9 | + | 7.11327e9i | −0.173551 | + | 0.760374i | 0.810968 | + | 0.585091i | \(0.198941\pi\) |
−0.984518 | + | 0.175283i | \(0.943916\pi\) | |||||||
\(312\) | −8.38071e9 | + | 1.05091e10i | −0.884428 | + | 1.10904i | ||||
\(313\) | 2.16194e9 | − | 4.48930e9i | 0.225250 | − | 0.467737i | −0.757461 | − | 0.652880i | \(-0.773561\pi\) |
0.982712 | + | 0.185143i | \(0.0592748\pi\) | |||||||
\(314\) | −2.06180e8 | − | 9.03332e8i | −0.0212094 | − | 0.0929242i | ||||
\(315\) | 1.34106e10 | + | 6.45820e9i | 1.36209 | + | 0.655947i | ||||
\(316\) | −1.52545e9 | − | 1.91285e9i | −0.152985 | − | 0.191837i | ||||
\(317\) | −3.00884e9 | + | 1.31826e10i | −0.297963 | + | 1.30546i | 0.575193 | + | 0.818018i | \(0.304927\pi\) |
−0.873155 | + | 0.487442i | \(0.837930\pi\) | |||||||
\(318\) | 8.87845e7 | − | 3.88990e8i | 0.00868218 | − | 0.0380391i | ||||
\(319\) | 2.85340e9 | + | 5.92514e9i | 0.275549 | + | 0.572184i | ||||
\(320\) | 2.60790e8 | − | 2.07973e8i | 0.0248709 | − | 0.0198339i | ||||
\(321\) | 1.79175e9 | + | 1.42887e9i | 0.168755 | + | 0.134578i | ||||
\(322\) | −3.80420e9 | + | 1.83200e9i | −0.353867 | + | 0.170413i | ||||
\(323\) | −2.29664e9 | − | 4.76903e9i | −0.211000 | − | 0.438147i | ||||
\(324\) | 3.28086e9 | − | 4.11407e9i | 0.297720 | − | 0.373329i | ||||
\(325\) | 5.67968e9 | + | 7.12210e9i | 0.509085 | + | 0.638373i | ||||
\(326\) | 1.62451e9 | − | 7.82320e8i | 0.143830 | − | 0.0692651i | ||||
\(327\) | −1.75506e10 | − | 4.00580e9i | −1.53497 | − | 0.350347i | ||||
\(328\) | 5.33051e9 | + | 1.21665e9i | 0.460546 | + | 0.105117i | ||||
\(329\) | −1.17382e10 | + | 9.36094e9i | −1.00189 | + | 0.798980i | ||||
\(330\) | −1.89766e9 | + | 3.94053e9i | −0.160016 | + | 0.332276i | ||||
\(331\) | −1.49310e10 | + | 3.40790e9i | −1.24388 | + | 0.283907i | −0.793300 | − | 0.608831i | \(-0.791639\pi\) |
−0.450576 | + | 0.892738i | \(0.648781\pi\) | |||||||
\(332\) | 2.81437e9 | + | 1.35533e9i | 0.231648 | + | 0.111556i | ||||
\(333\) | 3.06304e10 | + | 2.44269e10i | 2.49101 | + | 1.98652i | ||||
\(334\) | −5.22059e9 | − | 1.19156e9i | −0.419501 | − | 0.0957485i | ||||
\(335\) | −5.45594e8 | − | 4.35097e8i | −0.0433202 | − | 0.0345467i | ||||
\(336\) | −3.53942e9 | − | 1.55072e10i | −0.277699 | − | 1.21668i | ||||
\(337\) | 1.54743e10 | 1.19975 | 0.599875 | − | 0.800093i | \(-0.295217\pi\) | ||||
0.599875 | + | 0.800093i | \(0.295217\pi\) | |||||||
\(338\) | 1.36199e8i | 0.0104353i | ||||||||
\(339\) | −5.59204e9 | − | 2.45003e10i | −0.423420 | − | 1.85512i | ||||
\(340\) | −5.42987e9 | + | 4.33018e9i | −0.406326 | + | 0.324034i | ||||
\(341\) | −7.00509e9 | + | 3.37347e9i | −0.518079 | + | 0.249494i | ||||
\(342\) | −3.43570e9 | − | 1.65454e9i | −0.251137 | − | 0.120941i | ||||
\(343\) | 3.63188e10i | 2.62395i | ||||||||
\(344\) | 1.08421e10 | + | 4.14980e9i | 0.774246 | + | 0.296342i | ||||
\(345\) | −4.80805e9 | −0.339385 | ||||||||
\(346\) | 4.78962e9 | − | 9.94574e9i | 0.334192 | − | 0.693957i | ||||
\(347\) | 3.04938e9 | + | 6.33211e9i | 0.210327 | + | 0.436748i | 0.979267 | − | 0.202572i | \(-0.0649301\pi\) |
−0.768941 | + | 0.639320i | \(0.779216\pi\) | |||||||
\(348\) | 7.20787e9 | + | 9.03838e9i | 0.491462 | + | 0.616274i | ||||
\(349\) | −7.11741e9 | + | 1.62450e9i | −0.479756 | + | 0.109501i | −0.455558 | − | 0.890206i | \(-0.650560\pi\) |
−0.0241979 | + | 0.999707i | \(0.507703\pi\) | |||||||
\(350\) | 1.04116e10 | 0.693816 | ||||||||
\(351\) | − | 2.24251e10i | − | 1.47743i | ||||||
\(352\) | 1.62294e10 | − | 3.70424e9i | 1.05714 | − | 0.241284i | ||||
\(353\) | 1.89910e10 | − | 2.38140e10i | 1.22307 | − | 1.53368i | 0.459154 | − | 0.888356i | \(-0.348152\pi\) |
0.763912 | − | 0.645320i | \(-0.223276\pi\) | |||||||
\(354\) | −3.83261e9 | + | 1.67917e10i | −0.244051 | + | 1.06926i | ||||
\(355\) | 1.11083e9 | − | 1.39294e9i | 0.0699416 | − | 0.0877040i | ||||
\(356\) | 7.35854e9 | − | 1.52802e10i | 0.458133 | − | 0.951324i | ||||
\(357\) | −1.70853e10 | − | 7.48556e10i | −1.05184 | − | 4.60841i | ||||
\(358\) | −1.11285e10 | − | 5.35920e9i | −0.677492 | − | 0.326263i | ||||
\(359\) | 1.46214e10 | + | 1.83347e10i | 0.880261 | + | 1.10381i | 0.993899 | + | 0.110291i | \(0.0351782\pi\) |
−0.113638 | + | 0.993522i | \(0.536250\pi\) | |||||||
\(360\) | −2.53331e9 | + | 1.10992e10i | −0.150827 | + | 0.660815i | ||||
\(361\) | −3.38758e9 | + | 1.48420e10i | −0.199462 | + | 0.873902i | ||||
\(362\) | −7.80809e8 | − | 1.62137e9i | −0.0454685 | − | 0.0944163i | ||||
\(363\) | −3.27821e9 | + | 2.61429e9i | −0.188804 | + | 0.150566i | ||||
\(364\) | −2.01211e10 | − | 1.60460e10i | −1.14616 | − | 0.914034i | ||||
\(365\) | 1.11854e10 | − | 5.38662e9i | 0.630204 | − | 0.303490i | ||||
\(366\) | −8.46013e9 | − | 1.75676e10i | −0.471468 | − | 0.979014i | ||||
\(367\) | −1.49115e9 | + | 1.86985e9i | −0.0821974 | + | 0.103072i | −0.821230 | − | 0.570598i | \(-0.806712\pi\) |
0.739032 | + | 0.673670i | \(0.235283\pi\) | |||||||
\(368\) | 2.08473e9 | + | 2.61417e9i | 0.113673 | + | 0.142542i | ||||
\(369\) | −1.77366e10 | + | 8.54147e9i | −0.956673 | + | 0.460710i | ||||
\(370\) | −6.36941e9 | − | 1.45378e9i | −0.339854 | − | 0.0775695i | ||||
\(371\) | 1.69466e9 | + | 3.86795e8i | 0.0894512 | + | 0.0204167i | ||||
\(372\) | −1.06858e10 | + | 8.52162e9i | −0.558000 | + | 0.444990i | ||||
\(373\) | 5.14679e9 | − | 1.06874e10i | 0.265890 | − | 0.552126i | −0.724688 | − | 0.689077i | \(-0.758016\pi\) |
0.990578 | + | 0.136951i | \(0.0437304\pi\) | |||||||
\(374\) | 1.43140e10 | − | 3.26707e9i | 0.731599 | − | 0.166983i | ||||
\(375\) | 2.39100e10 | + | 1.15145e10i | 1.20908 | + | 0.582262i | ||||
\(376\) | −8.97806e9 | − | 7.15977e9i | −0.449191 | − | 0.358218i | ||||
\(377\) | 1.18309e10 | + | 2.70033e9i | 0.585670 | + | 0.133675i | ||||
\(378\) | −2.00387e10 | − | 1.59804e10i | −0.981529 | − | 0.782743i | ||||
\(379\) | 7.39452e9 | + | 3.23975e10i | 0.358388 | + | 1.57020i | 0.757211 | + | 0.653171i | \(0.226562\pi\) |
−0.398823 | + | 0.917028i | \(0.630581\pi\) | |||||||
\(380\) | −2.30911e9 | −0.110741 | ||||||||
\(381\) | 8.50475e9i | 0.403610i | ||||||||
\(382\) | 1.46278e9 | + | 6.40886e9i | 0.0686951 | + | 0.300973i | ||||
\(383\) | −7.64614e9 | + | 6.09759e9i | −0.355342 | + | 0.283376i | −0.784848 | − | 0.619688i | \(-0.787259\pi\) |
0.429506 | + | 0.903064i | \(0.358688\pi\) | |||||||
\(384\) | 3.25088e10 | − | 1.56554e10i | 1.49512 | − | 0.720011i | ||||
\(385\) | −1.71671e10 | − | 8.26725e9i | −0.781366 | − | 0.376286i | ||||
\(386\) | 1.41921e10i | 0.639288i | ||||||||
\(387\) | −3.98361e10 | + | 1.26575e10i | −1.77596 | + | 0.564292i | ||||
\(388\) | 2.16290e10 | 0.954356 | ||||||||
\(389\) | −7.32368e9 | + | 1.52078e10i | −0.319839 | + | 0.664152i | −0.997458 | − | 0.0712612i | \(-0.977298\pi\) |
0.677619 | + | 0.735413i | \(0.263012\pi\) | |||||||
\(390\) | 3.50167e9 | + | 7.27129e9i | 0.151362 | + | 0.314306i | ||||
\(391\) | 1.00633e10 | + | 1.26190e10i | 0.430560 | + | 0.539905i | ||||
\(392\) | −4.61667e10 | + | 1.05373e10i | −1.95517 | + | 0.446255i | ||||
\(393\) | −6.22757e10 | −2.61065 | ||||||||
\(394\) | 3.19168e9i | 0.132445i | ||||||||
\(395\) | −3.25872e9 | + | 7.43781e8i | −0.133862 | + | 0.0305532i | ||||
\(396\) | −2.39471e10 | + | 3.00288e10i | −0.973807 | + | 1.22112i | ||||
\(397\) | 3.48487e9 | − | 1.52682e10i | 0.140289 | − | 0.614648i | −0.855078 | − | 0.518500i | \(-0.826491\pi\) |
0.995367 | − | 0.0961478i | \(-0.0306521\pi\) | |||||||
\(398\) | −1.26546e9 | + | 1.58684e9i | −0.0504333 | + | 0.0632414i | ||||
\(399\) | 1.10763e10 | − | 2.30001e10i | 0.437020 | − | 0.907482i | ||||
\(400\) | −1.83466e9 | − | 8.03816e9i | −0.0716663 | − | 0.313991i | ||||
\(401\) | 2.05689e10 | + | 9.90544e9i | 0.795486 | + | 0.383086i | 0.787058 | − | 0.616879i | \(-0.211603\pi\) |
0.00842770 | + | 0.999964i | \(0.497317\pi\) | |||||||
\(402\) | 1.61691e9 | + | 2.02754e9i | 0.0619129 | + | 0.0776363i | ||||
\(403\) | −3.19251e9 | + | 1.39873e10i | −0.121035 | + | 0.530290i | ||||
\(404\) | 5.68694e8 | − | 2.49161e9i | 0.0213478 | − | 0.0935308i | ||||
\(405\) | −3.11917e9 | − | 6.47702e9i | −0.115936 | − | 0.240744i | ||||
\(406\) | 1.08438e10 | − | 8.64764e9i | 0.399096 | − | 0.318268i | ||||
\(407\) | −3.92106e10 | − | 3.12694e10i | −1.42898 | − | 1.13957i | ||||
\(408\) | 5.29104e10 | − | 2.54803e10i | 1.90942 | − | 0.919526i | ||||
\(409\) | 2.18723e10 | + | 4.54182e10i | 0.781629 | + | 1.62307i | 0.782167 | + | 0.623069i | \(0.214115\pi\) |
−0.000537752 | 1.00000i | \(0.500171\pi\) | ||||||||
\(410\) | 2.04680e9 | − | 2.56661e9i | 0.0724337 | − | 0.0908289i | ||||
\(411\) | 5.08347e10 | + | 6.37447e10i | 1.78153 | + | 2.23397i | ||||
\(412\) | −2.51158e10 | + | 1.20951e10i | −0.871681 | + | 0.419779i | ||||
\(413\) | −7.31541e10 | − | 1.66970e10i | −2.51443 | − | 0.573901i | ||||
\(414\) | 1.13362e10 | + | 2.58742e9i | 0.385893 | + | 0.0880777i | ||||
\(415\) | 3.33650e9 | − | 2.66077e9i | 0.112486 | − | 0.0897046i | ||||
\(416\) | 1.33278e10 | − | 2.76755e10i | 0.445027 | − | 0.924108i | ||||
\(417\) | −4.87563e10 | + | 1.11283e10i | −1.61245 | + | 0.368032i | ||||
\(418\) | 4.39810e9 | + | 2.11801e9i | 0.144065 | + | 0.0693782i | ||||
\(419\) | 3.13040e9 | + | 2.49641e9i | 0.101565 | + | 0.0809954i | 0.672956 | − | 0.739683i | \(-0.265024\pi\) |
−0.571391 | + | 0.820678i | \(0.693596\pi\) | |||||||
\(420\) | −3.26549e10 | − | 7.45328e9i | −1.04943 | − | 0.239525i | ||||
\(421\) | 1.73859e10 | + | 1.38648e10i | 0.553437 | + | 0.441352i | 0.859850 | − | 0.510547i | \(-0.170557\pi\) |
−0.306412 | + | 0.951899i | \(0.599129\pi\) | |||||||
\(422\) | 1.48463e9 | + | 6.50461e9i | 0.0468133 | + | 0.205103i | ||||
\(423\) | 4.13460e10 | 1.29143 | ||||||||
\(424\) | 1.32950e9i | 0.0411363i | ||||||||
\(425\) | −8.85616e9 | − | 3.88014e10i | −0.271450 | − | 1.18930i | ||||
\(426\) | −5.17645e9 | + | 4.12808e9i | −0.157179 | + | 0.125346i | ||||
\(427\) | 7.65344e10 | − | 3.68570e10i | 2.30221 | − | 1.10869i | ||||
\(428\) | −3.02372e9 | − | 1.45615e9i | −0.0901086 | − | 0.0433940i | ||||
\(429\) | 6.19533e10i | 1.82909i | ||||||||
\(430\) | 5.06932e9 | − | 4.78400e9i | 0.148278 | − | 0.139932i | ||||
\(431\) | −4.80251e10 | −1.39174 | −0.695871 | − | 0.718166i | \(-0.744982\pi\) | ||||
−0.695871 | + | 0.718166i | \(0.744982\pi\) | |||||||
\(432\) | −8.80639e9 | + | 1.82867e10i | −0.252850 | + | 0.525049i | ||||
\(433\) | −1.24890e10 | − | 2.59337e10i | −0.355284 | − | 0.737755i | 0.644352 | − | 0.764729i | \(-0.277127\pi\) |
−0.999636 | + | 0.0269738i | \(0.991413\pi\) | |||||||
\(434\) | 1.02238e10 | + | 1.28203e10i | 0.288173 | + | 0.361358i | ||||
\(435\) | 1.53977e10 | − | 3.51443e9i | 0.430031 | − | 0.0981517i | ||||
\(436\) | 2.63624e10 | 0.729524 | ||||||||
\(437\) | 5.36635e9i | 0.147148i | ||||||||
\(438\) | −4.49795e10 | + | 1.02663e10i | −1.22213 | + | 0.278944i | ||||
\(439\) | −2.63857e10 | + | 3.30866e10i | −0.710412 | + | 0.890828i | −0.997753 | − | 0.0669999i | \(-0.978657\pi\) |
0.287341 | + | 0.957828i | \(0.407229\pi\) | |||||||
\(440\) | 3.24293e9 | − | 1.42082e10i | 0.0865222 | − | 0.379078i | ||||
\(441\) | 1.06304e11 | − | 1.33301e11i | 2.81057 | − | 3.52435i | ||||
\(442\) | 1.17549e10 | − | 2.44092e10i | 0.307984 | − | 0.639536i | ||||
\(443\) | 9.83015e9 | + | 4.30687e10i | 0.255238 | + | 1.11827i | 0.926275 | + | 0.376847i | \(0.122992\pi\) |
−0.671037 | + | 0.741424i | \(0.734151\pi\) | |||||||
\(444\) | −7.94307e10 | − | 3.82518e10i | −2.04388 | − | 0.984283i | ||||
\(445\) | −1.44462e10 | − | 1.81150e10i | −0.368395 | − | 0.461953i | ||||
\(446\) | −5.77975e9 | + | 2.53228e10i | −0.146073 | + | 0.639988i | ||||
\(447\) | 1.88820e10 | − | 8.27276e10i | 0.472954 | − | 2.07215i | ||||
\(448\) | −2.34311e9 | − | 4.86552e9i | −0.0581676 | − | 0.120786i | ||||
\(449\) | 2.85234e10 | − | 2.27467e10i | 0.701804 | − | 0.559670i | −0.206262 | − | 0.978497i | \(-0.566130\pi\) |
0.908066 | + | 0.418827i | \(0.137559\pi\) | |||||||
\(450\) | −2.24168e10 | − | 1.78768e10i | −0.546667 | − | 0.435952i | ||||
\(451\) | 2.27049e10 | − | 1.09341e10i | 0.548799 | − | 0.264287i | ||||
\(452\) | 1.59676e10 | + | 3.31571e10i | 0.382548 | + | 0.794369i | ||||
\(453\) | 6.45460e10 | − | 8.09381e10i | 1.53277 | − | 1.92203i | ||||
\(454\) | −2.33993e10 | − | 2.93418e10i | −0.550782 | − | 0.690659i | ||||
\(455\) | −3.16778e10 | + | 1.52552e10i | −0.739110 | + | 0.355937i | ||||
\(456\) | 1.90358e10 | + | 4.34480e9i | 0.440263 | + | 0.100487i | ||||
\(457\) | 4.48898e10 | + | 1.02458e10i | 1.02916 | + | 0.234899i | 0.703581 | − | 0.710615i | \(-0.251583\pi\) |
0.325580 | + | 0.945514i | \(0.394440\pi\) | |||||||
\(458\) | −4.64230e9 | + | 3.70211e9i | −0.105504 | + | 0.0841370i | ||||
\(459\) | −4.25098e10 | + | 8.82724e10i | −0.957719 | + | 1.98872i | ||||
\(460\) | 6.86449e9 | − | 1.56678e9i | 0.153312 | − | 0.0349925i | ||||
\(461\) | −2.30629e10 | − | 1.11065e10i | −0.510634 | − | 0.245908i | 0.160781 | − | 0.986990i | \(-0.448599\pi\) |
−0.671415 | + | 0.741082i | \(0.734313\pi\) | |||||||
\(462\) | 5.53605e10 | + | 4.41485e10i | 1.21516 | + | 0.969054i | ||||
\(463\) | 7.17284e10 | + | 1.63715e10i | 1.56087 | + | 0.356259i | 0.913798 | − | 0.406169i | \(-0.133135\pi\) |
0.647074 | + | 0.762427i | \(0.275993\pi\) | |||||||
\(464\) | −8.58715e9 | − | 6.84802e9i | −0.185258 | − | 0.147738i | ||||
\(465\) | 4.15499e9 | + | 1.82042e10i | 0.0888706 | + | 0.389368i | ||||
\(466\) | −7.24089e9 | −0.153550 | ||||||||
\(467\) | 5.73231e10i | 1.20521i | 0.798040 | + | 0.602604i | \(0.205870\pi\) | ||||
−0.798040 | + | 0.602604i | \(0.794130\pi\) | |||||||
\(468\) | 1.57708e10 | + | 6.90962e10i | 0.328753 | + | 1.44036i | ||||
\(469\) | −8.83308e9 | + | 7.04415e9i | −0.182566 | + | 0.145592i | ||||
\(470\) | −6.21198e9 | + | 2.99153e9i | −0.127303 | + | 0.0613059i | ||||
\(471\) | −1.53901e10 | − | 7.41150e9i | −0.312722 | − | 0.150599i | ||||
\(472\) | − | 5.73913e10i | − | 1.15632i | ||||||
\(473\) | 5.09949e10 | − | 1.62031e10i | 1.01878 | − | 0.323708i | ||||
\(474\) | 1.24215e10 | 0.246071 | ||||||||
\(475\) | 5.74138e9 | − | 1.19221e10i | 0.112782 | − | 0.234195i | ||||
\(476\) | 4.87857e10 | + | 1.01304e11i | 0.950308 | + | 1.97333i | ||||
\(477\) | −2.98457e9 | − | 3.74253e9i | −0.0576512 | − | 0.0722923i | ||||
\(478\) | −1.70754e10 | + | 3.89735e9i | −0.327084 | + | 0.0746548i | ||||
\(479\) | −5.13862e10 | −0.976124 | −0.488062 | − | 0.872809i | \(-0.662296\pi\) | ||||
−0.488062 | + | 0.872809i | \(0.662296\pi\) | |||||||
\(480\) | − | 3.99782e10i | − | 0.753111i | ||||||
\(481\) | −9.02235e10 | + | 2.05929e10i | −1.68554 | + | 0.384714i | ||||
\(482\) | 1.11611e10 | − | 1.39956e10i | 0.206785 | − | 0.259300i | ||||
\(483\) | −1.73214e10 | + | 7.58898e10i | −0.318268 | + | 1.39442i | ||||
\(484\) | 3.82842e9 | − | 4.80069e9i | 0.0697652 | − | 0.0874828i | ||||
\(485\) | 1.28209e10 | − | 2.66228e10i | 0.231713 | − | 0.481157i | ||||
\(486\) | −2.48377e9 | − | 1.08821e10i | −0.0445212 | − | 0.195060i | ||||
\(487\) | −1.65435e10 | − | 7.96693e9i | −0.294111 | − | 0.141637i | 0.281010 | − | 0.959705i | \(-0.409331\pi\) |
−0.575121 | + | 0.818068i | \(0.695045\pi\) | |||||||
\(488\) | 4.05094e10 | + | 5.07972e10i | 0.714293 | + | 0.895695i | ||||
\(489\) | 7.39673e9 | − | 3.24072e10i | 0.129361 | − | 0.566769i | ||||
\(490\) | −6.32671e9 | + | 2.77191e10i | −0.109747 | + | 0.480834i | ||||
\(491\) | 2.71561e10 | + | 5.63902e10i | 0.467242 | + | 0.970237i | 0.992834 | + | 0.119501i | \(0.0381294\pi\) |
−0.525593 | + | 0.850736i | \(0.676156\pi\) | |||||||
\(492\) | 3.46347e10 | − | 2.76202e10i | 0.591086 | − | 0.471375i | ||||
\(493\) | −4.14514e10 | − | 3.30564e10i | −0.701700 | − | 0.559587i | ||||
\(494\) | 8.11563e9 | − | 3.90828e9i | 0.136274 | − | 0.0656263i | ||||
\(495\) | 2.27669e10 | + | 4.72760e10i | 0.379213 | + | 0.787444i | ||||
\(496\) | 8.09618e9 | − | 1.01523e10i | 0.133768 | − | 0.167740i | ||||
\(497\) | −1.79842e10 | − | 2.25515e10i | −0.294758 | − | 0.369615i | ||||
\(498\) | −1.42885e10 | + | 6.88098e9i | −0.232311 | + | 0.111875i | ||||
\(499\) | −4.35068e9 | − | 9.93014e8i | −0.0701706 | − | 0.0160160i | 0.187292 | − | 0.982304i | \(-0.440029\pi\) |
−0.257462 | + | 0.966288i | \(0.582886\pi\) | |||||||
\(500\) | −3.78887e10 | − | 8.64785e9i | −0.606219 | − | 0.138366i | ||||
\(501\) | −7.71823e10 | + | 6.15508e10i | −1.22509 | + | 0.976974i | ||||
\(502\) | 1.66243e10 | − | 3.45208e10i | 0.261776 | − | 0.543583i | ||||
\(503\) | −1.47518e9 | + | 3.36699e8i | −0.0230447 | + | 0.00525981i | −0.234028 | − | 0.972230i | \(-0.575191\pi\) |
0.210983 | + | 0.977490i | \(0.432334\pi\) | |||||||
\(504\) | 1.66062e11 | + | 7.99711e10i | 2.57364 | + | 1.23940i | ||||
\(505\) | −2.72978e9 | − | 2.17692e9i | −0.0419722 | − | 0.0334717i | ||||
\(506\) | −1.45117e10 | − | 3.31220e9i | −0.221369 | − | 0.0505260i | ||||
\(507\) | 1.96311e9 | + | 1.56553e9i | 0.0297106 | + | 0.0236934i | ||||
\(508\) | −2.77140e9 | − | 1.21423e10i | −0.0416145 | − | 0.182325i | ||||
\(509\) | −4.68008e10 | −0.697239 | −0.348620 | − | 0.937264i | \(-0.613350\pi\) | ||||
−0.348620 | + | 0.937264i | \(0.613350\pi\) | |||||||
\(510\) | − | 3.52600e10i | − | 0.521196i | ||||||
\(511\) | −4.47256e10 | − | 1.95956e11i | −0.655953 | − | 2.87392i | ||||
\(512\) | −3.95014e10 | + | 3.15013e10i | −0.574821 | + | 0.458405i | ||||
\(513\) | −2.93490e10 | + | 1.41337e10i | −0.423763 | + | 0.204074i | ||||
\(514\) | −3.57847e10 | − | 1.72330e10i | −0.512678 | − | 0.246893i | ||||
\(515\) | 3.80840e10i | 0.541395i | ||||||||
\(516\) | 8.10572e10 | − | 4.77163e10i | 1.14339 | − | 0.673082i | ||||
\(517\) | −5.29277e10 | −0.740834 | ||||||||
\(518\) | −4.58926e10 | + | 9.52969e10i | −0.637417 | + | 1.32361i | ||||
\(519\) | −8.82995e10 | − | 1.83356e11i | −1.21700 | − | 2.52712i | ||||
\(520\) | −1.67669e10 | − | 2.10251e10i | −0.229319 | − | 0.287557i | ||||
\(521\) | 1.61379e10 | − | 3.68338e9i | 0.219027 | − | 0.0499914i | −0.111599 | − | 0.993753i | \(-0.535597\pi\) |
0.330626 | + | 0.943762i | \(0.392740\pi\) | |||||||
\(522\) | −3.81954e10 | −0.514433 | ||||||||
\(523\) | 2.15523e9i | 0.0288063i | 0.999896 | + | 0.0144032i | \(0.00458482\pi\) | ||||
−0.999896 | + | 0.0144032i | \(0.995415\pi\) | |||||||
\(524\) | 8.89115e10 | − | 2.02935e10i | 1.17932 | − | 0.269173i | ||||
\(525\) | 1.19675e11 | − | 1.50068e11i | 1.57531 | − | 1.97538i | ||||
\(526\) | 1.81197e9 | − | 7.93876e9i | 0.0236705 | − | 0.103707i | ||||
\(527\) | 3.90815e10 | − | 4.90066e10i | 0.506674 | − | 0.635349i | ||||
\(528\) | 2.43292e10 | − | 5.05201e10i | 0.313034 | − | 0.650022i | ||||
\(529\) | 1.37847e10 | + | 6.03945e10i | 0.176025 | + | 0.771214i | ||||
\(530\) | 7.19200e8 | + | 3.46348e8i | 0.00911477 | + | 0.00438944i | ||||
\(531\) | 1.28836e11 | + | 1.61556e11i | 1.62054 | + | 2.03210i | ||||
\(532\) | −8.31874e9 | + | 3.64468e10i | −0.103851 | + | 0.455001i | ||||
\(533\) | 1.03476e10 | − | 4.53356e10i | 0.128212 | − | 0.561734i | ||||
\(534\) | 3.73592e10 | + | 7.75771e10i | 0.459444 | + | 0.954045i | ||||
\(535\) | −3.58468e9 | + | 2.85869e9i | −0.0437558 | + | 0.0348941i | ||||
\(536\) | −6.75603e9 | − | 5.38775e9i | −0.0818526 | − | 0.0652753i | ||||
\(537\) | −2.05161e11 | + | 9.88002e10i | −2.46716 | + | 1.18812i | ||||
\(538\) | 3.53204e9 | + | 7.33435e9i | 0.0421596 | + | 0.0875453i | ||||
\(539\) | −1.36082e11 | + | 1.70641e11i | −1.61229 | + | 2.02175i | ||||
\(540\) | 2.66483e10 | + | 3.34159e10i | 0.313396 | + | 0.392987i | ||||
\(541\) | 6.46399e10 | − | 3.11289e10i | 0.754591 | − | 0.363392i | −0.0167116 | − | 0.999860i | \(-0.505320\pi\) |
0.771303 | + | 0.636468i | \(0.219605\pi\) | |||||||
\(542\) | −2.05833e10 | − | 4.69801e9i | −0.238517 | − | 0.0544399i | ||||
\(543\) | −3.23446e10 | − | 7.38245e9i | −0.372051 | − | 0.0849182i | ||||
\(544\) | −1.04925e11 | + | 8.36750e10i | −1.19807 | + | 0.955432i | ||||
\(545\) | 1.56266e10 | − | 3.24490e10i | 0.177125 | − | 0.367803i | ||||
\(546\) | 1.27384e11 | − | 2.90747e10i | 1.43333 | − | 0.327148i | ||||
\(547\) | −3.90782e10 | − | 1.88191e10i | −0.436501 | − | 0.210208i | 0.202711 | − | 0.979239i | \(-0.435025\pi\) |
−0.639212 | + | 0.769031i | \(0.720739\pi\) | |||||||
\(548\) | −9.33493e10 | − | 7.44436e10i | −1.03512 | − | 0.825477i | ||||
\(549\) | −2.28067e11 | − | 5.20548e10i | −2.51057 | − | 0.573022i | ||||
\(550\) | 2.86961e10 | + | 2.28844e10i | 0.313597 | + | 0.250085i | ||||
\(551\) | −3.92252e9 | − | 1.71857e10i | −0.0425558 | − | 0.186449i | ||||
\(552\) | −5.95375e10 | −0.641260 | ||||||||
\(553\) | 5.41149e10i | 0.578650i | ||||||||
\(554\) | 1.22399e10 | + | 5.36266e10i | 0.129939 | + | 0.569300i | ||||
\(555\) | −9.41668e10 | + | 7.50955e10i | −0.992490 | + | 0.791484i | ||||
\(556\) | 6.59835e10 | − | 3.17760e10i | 0.690456 | − | 0.332506i | ||||
\(557\) | −9.85326e10 | − | 4.74508e10i | −1.02367 | − | 0.492972i | −0.154763 | − | 0.987952i | \(-0.549461\pi\) |
−0.868905 | + | 0.494979i | \(0.835176\pi\) | |||||||
\(558\) | − | 4.51571e10i | − | 0.465789i | ||||||
\(559\) | 3.52938e10 | − | 9.22111e10i | 0.361452 | − | 0.944357i | ||||
\(560\) | 3.18225e10 | 0.323581 | ||||||||
\(561\) | 1.17441e11 | − | 2.43868e11i | 1.18568 | − | 2.46209i | ||||
\(562\) | −6.19391e9 | − | 1.28618e10i | −0.0620897 | − | 0.128931i | ||||
\(563\) | −2.77718e10 | − | 3.48247e10i | −0.276421 | − | 0.346620i | 0.624170 | − | 0.781288i | \(-0.285437\pi\) |
−0.900591 | + | 0.434668i | \(0.856866\pi\) | |||||||
\(564\) | −9.07077e10 | + | 2.07034e10i | −0.896453 | + | 0.204610i | ||||
\(565\) | 5.02774e10 | 0.493377 | ||||||||
\(566\) | − | 1.41787e10i | − | 0.138156i | ||||||
\(567\) | −1.13470e11 | + | 2.58987e10i | −1.09786 | + | 0.250580i | ||||
\(568\) | 1.37553e10 | − | 1.72486e10i | 0.132153 | − | 0.165715i | ||||
\(569\) | 1.32113e9 | − | 5.78825e9i | 0.0126037 | − | 0.0552202i | −0.968235 | − | 0.250042i | \(-0.919556\pi\) |
0.980839 | + | 0.194822i | \(0.0624128\pi\) | |||||||
\(570\) | 7.30936e9 | − | 9.16564e9i | 0.0692436 | − | 0.0868288i | ||||
\(571\) | −3.58243e10 | + | 7.43900e10i | −0.337003 | + | 0.699794i | −0.998753 | − | 0.0499311i | \(-0.984100\pi\) |
0.661750 | + | 0.749725i | \(0.269814\pi\) | |||||||
\(572\) | −2.01884e10 | − | 8.84513e10i | −0.188590 | − | 0.826266i | ||||
\(573\) | 1.09188e11 | + | 5.25823e10i | 1.01288 | + | 0.487776i | ||||
\(574\) | −3.31374e10 | − | 4.15530e10i | −0.305260 | − | 0.382784i | ||||
\(575\) | −8.97852e9 | + | 3.93375e10i | −0.0821360 | + | 0.359861i | ||||
\(576\) | −3.30928e9 | + | 1.44989e10i | −0.0300638 | + | 0.131718i | ||||
\(577\) | 2.63703e10 | + | 5.47586e10i | 0.237910 | + | 0.494025i | 0.985402 | − | 0.170246i | \(-0.0544563\pi\) |
−0.747492 | + | 0.664271i | \(0.768742\pi\) | |||||||
\(578\) | −5.19930e10 | + | 4.14631e10i | −0.465837 | + | 0.371492i | ||||
\(579\) | 2.04558e11 | + | 1.63130e11i | 1.82013 | + | 1.45150i | ||||
\(580\) | −2.08382e10 | + | 1.00352e10i | −0.184140 | + | 0.0886772i | ||||
\(581\) | −2.99774e10 | − | 6.22486e10i | −0.263081 | − | 0.546293i | ||||
\(582\) | −6.84655e10 | + | 8.58530e10i | −0.596733 | + | 0.748279i | ||||
\(583\) | 3.82060e9 | + | 4.79088e9i | 0.0330718 | + | 0.0414707i | ||||
\(584\) | 1.38508e11 | − | 6.67019e10i | 1.19076 | − | 0.573438i | ||||
\(585\) | 9.43975e10 | + | 2.15456e10i | 0.806004 | + | 0.183965i | ||||
\(586\) | 4.06856e9 | + | 9.28623e8i | 0.0345025 | + | 0.00787497i | ||||
\(587\) | 1.92613e10 | − | 1.53604e10i | 0.162231 | − | 0.129375i | −0.539009 | − | 0.842300i | \(-0.681201\pi\) |
0.701241 | + | 0.712925i | \(0.252630\pi\) | |||||||
\(588\) | −1.66468e11 | + | 3.45675e11i | −1.39259 | + | 2.89174i | ||||
\(589\) | 2.03180e10 | − | 4.63746e9i | 0.168819 | − | 0.0385318i | ||||
\(590\) | −3.10461e10 | − | 1.49510e10i | −0.256211 | − | 0.123385i | ||||
\(591\) | 4.60034e10 | + | 3.66865e10i | 0.377086 | + | 0.300716i | ||||
\(592\) | 8.16600e10 | + | 1.86384e10i | 0.664848 | + | 0.151747i | ||||
\(593\) | 1.73344e11 | + | 1.38237e11i | 1.40181 | + | 1.11791i | 0.977148 | + | 0.212560i | \(0.0681800\pi\) |
0.424666 | + | 0.905350i | \(0.360391\pi\) | |||||||
\(594\) | −2.01058e10 | − | 8.80892e10i | −0.161501 | − | 0.707582i | ||||
\(595\) | 1.53612e11 | 1.22562 | ||||||||
\(596\) | 1.24264e11i | 0.984827i | ||||||||
\(597\) | 8.32625e9 | + | 3.64797e10i | 0.0655469 | + | 0.287180i | ||||
\(598\) | −2.14742e10 | + | 1.71251e10i | −0.167924 | + | 0.133915i | ||||
\(599\) | 1.08234e11 | − | 5.21227e10i | 0.840729 | − | 0.404874i | 0.0366011 | − | 0.999330i | \(-0.488347\pi\) |
0.804128 | + | 0.594456i | \(0.202633\pi\) | |||||||
\(600\) | 1.32271e11 | + | 6.36982e10i | 1.02061 | + | 0.491499i | ||||
\(601\) | − | 2.34474e11i | − | 1.79720i | −0.438770 | − | 0.898599i | \(-0.644586\pi\) | ||
0.438770 | − | 0.898599i | \(-0.355414\pi\) | |||||||
\(602\) | −5.72477e10 | − | 9.72484e10i | −0.435885 | − | 0.740452i | ||||
\(603\) | 3.11130e10 | 0.235328 | ||||||||
\(604\) | −6.57779e10 | + | 1.36589e11i | −0.494234 | + | 1.02629i | ||||
\(605\) | −3.63974e9 | − | 7.55800e9i | −0.0271675 | − | 0.0564138i | ||||
\(606\) | 8.08988e9 | + | 1.01444e10i | 0.0599862 | + | 0.0752204i | ||||
\(607\) | 1.40556e11 | − | 3.20810e10i | 1.03537 | − | 0.236316i | 0.329125 | − | 0.944286i | \(-0.393246\pi\) |
0.706242 | + | 0.707971i | \(0.250389\pi\) | |||||||
\(608\) | −4.46205e10 | −0.326528 | ||||||||
\(609\) | − | 2.55697e11i | − | 1.85890i | ||||||
\(610\) | 3.80320e10 | − | 8.68056e9i | 0.274682 | − | 0.0626944i | ||||
\(611\) | −6.08933e10 | + | 7.63578e10i | −0.436923 | + | 0.547884i | ||||
\(612\) | 6.89021e10 | − | 3.01880e11i | 0.491165 | − | 2.15193i | ||||
\(613\) | −5.37538e10 | + | 6.74051e10i | −0.380686 | + | 0.477365i | −0.934850 | − | 0.355042i | \(-0.884467\pi\) |
0.554164 | + | 0.832407i | \(0.313038\pi\) | |||||||
\(614\) | 2.04780e10 | − | 4.25230e10i | 0.144083 | − | 0.299192i | ||||
\(615\) | −1.34671e10 | − | 5.90034e10i | −0.0941401 | − | 0.412455i | ||||
\(616\) | −2.12578e11 | − | 1.02372e11i | −1.47637 | − | 0.710984i | ||||
\(617\) | −5.26342e10 | − | 6.60012e10i | −0.363185 | − | 0.455419i | 0.566344 | − | 0.824169i | \(-0.308357\pi\) |
−0.929529 | + | 0.368750i | \(0.879786\pi\) | |||||||
\(618\) | 3.14929e10 | − | 1.37979e11i | 0.215903 | − | 0.945933i | ||||
\(619\) | −2.04954e10 | + | 8.97961e10i | −0.139603 | + | 0.611639i | 0.855919 | + | 0.517109i | \(0.172992\pi\) |
−0.995522 | + | 0.0945296i | \(0.969865\pi\) | |||||||
\(620\) | −1.18642e10 | − | 2.46363e10i | −0.0802921 | − | 0.166728i | ||||
\(621\) | 7.76583e10 | − | 6.19304e10i | 0.522181 | − | 0.416426i | ||||
\(622\) | 4.24113e10 | + | 3.38219e10i | 0.283348 | + | 0.225963i | ||||
\(623\) | −3.37969e11 | + | 1.62757e11i | −2.24349 | + | 1.08041i | ||||
\(624\) | −4.48937e10 | − | 9.32226e10i | −0.296106 | − | 0.614870i | ||||
\(625\) | 4.37190e10 | − | 5.48219e10i | 0.286517 | − | 0.359281i | ||||
\(626\) | −2.30978e10 | − | 2.89638e10i | −0.150409 | − | 0.188607i | ||||
\(627\) | 8.10816e10 | − | 3.90469e10i | 0.524629 | − | 0.252648i | ||||
\(628\) | 2.43878e10 | + | 5.56635e9i | 0.156796 | + | 0.0357876i | ||||
\(629\) | 3.94185e11 | + | 8.99701e10i | 2.51824 | + | 0.574772i | ||||
\(630\) | 8.65214e10 | − | 6.89985e10i | 0.549239 | − | 0.438003i | ||||
\(631\) | 5.39940e10 | − | 1.12120e11i | 0.340587 | − | 0.707236i | −0.658380 | − | 0.752686i | \(-0.728758\pi\) |
0.998967 | + | 0.0454501i | \(0.0144722\pi\) | |||||||
\(632\) | −4.03523e10 | + | 9.21016e9i | −0.252930 | + | 0.0577296i | ||||
\(633\) | 1.10819e11 | + | 5.33679e10i | 0.690242 | + | 0.332403i | ||||
\(634\) | 7.85984e10 | + | 6.26801e10i | 0.486471 | + | 0.387947i | ||||
\(635\) | −1.65885e10 | − | 3.78622e9i | −0.102026 | − | 0.0232869i | ||||
\(636\) | 8.42178e9 | + | 6.71615e9i | 0.0514725 | + | 0.0410480i | ||||
\(637\) | 8.96186e10 | + | 3.92645e11i | 0.544303 | + | 2.38475i | ||||
\(638\) | 4.88946e10 | 0.295106 | ||||||||
\(639\) | 7.94337e10i | 0.476433i | ||||||||
\(640\) | 1.60633e10 | + | 7.03780e10i | 0.0957448 | + | 0.419485i | ||||
\(641\) | −8.37038e10 | + | 6.67515e10i | −0.495807 | + | 0.395393i | −0.839220 | − | 0.543791i | \(-0.816988\pi\) |
0.343413 | + | 0.939184i | \(0.388417\pi\) | |||||||
\(642\) | 1.53513e10 | − | 7.39282e9i | 0.0903663 | − | 0.0435181i | ||||
\(643\) | 4.24418e10 | + | 2.04389e10i | 0.248285 | + | 0.119568i | 0.553888 | − | 0.832591i | \(-0.313144\pi\) |
−0.305603 | + | 0.952159i | \(0.598858\pi\) | |||||||
\(644\) | − | 1.13993e11i | − | 0.662727i | ||||||
\(645\) | −1.06855e10 | − | 1.28056e11i | −0.0617387 | − | 0.739881i | ||||
\(646\) | −3.93543e10 | −0.225976 | ||||||||
\(647\) | −2.54014e10 | + | 5.27466e10i | −0.144958 | + | 0.301007i | −0.960788 | − | 0.277284i | \(-0.910566\pi\) |
0.815831 | + | 0.578291i | \(0.196280\pi\) | |||||||
\(648\) | −3.86243e10 | − | 8.02041e10i | −0.219059 | − | 0.454880i | ||||
\(649\) | −1.64926e11 | − | 2.06810e11i | −0.929630 | − | 1.16572i | ||||
\(650\) | 6.60297e10 | − | 1.50709e10i | 0.369901 | − | 0.0844276i | ||||
\(651\) | 3.02302e11 | 1.68313 | ||||||||
\(652\) | 4.86784e10i | 0.269368i | ||||||||
\(653\) | −3.29918e10 | + | 7.53016e9i | −0.181448 | + | 0.0414144i | −0.312280 | − | 0.949990i | \(-0.601093\pi\) |
0.130831 | + | 0.991405i | \(0.458235\pi\) | |||||||
\(654\) | −8.34488e10 | + | 1.04642e11i | −0.456152 | + | 0.571996i | ||||
\(655\) | 2.77244e10 | − | 1.21469e11i | 0.150625 | − | 0.659932i | ||||
\(656\) | −2.62413e10 | + | 3.29056e10i | −0.141700 | + | 0.177686i | ||||
\(657\) | −2.40160e11 | + | 4.98698e11i | −1.28896 | + | 2.67656i | ||||
\(658\) | 2.48390e10 | + | 1.08827e11i | 0.132504 | + | 0.580539i | ||||
\(659\) | −7.92868e10 | − | 3.81825e10i | −0.420396 | − | 0.202452i | 0.211712 | − | 0.977332i | \(-0.432096\pi\) |
−0.632109 | + | 0.774880i | \(0.717810\pi\) | |||||||
\(660\) | −7.36205e10 | − | 9.23172e10i | −0.387992 | − | 0.486527i | ||||
\(661\) | −3.11528e10 | + | 1.36489e11i | −0.163189 | + | 0.714977i | 0.825426 | + | 0.564510i | \(0.190935\pi\) |
−0.988615 | + | 0.150467i | \(0.951922\pi\) | |||||||
\(662\) | −2.53373e10 | + | 1.11010e11i | −0.131925 | + | 0.578002i | ||||
\(663\) | −2.16708e11 | − | 4.49999e11i | −1.12156 | − | 2.32894i | ||||
\(664\) | 4.13155e10 | − | 3.29480e10i | 0.212540 | − | 0.169495i | ||||
\(665\) | 3.99306e10 | + | 3.18436e10i | 0.204183 | + | 0.162831i | ||||
\(666\) | 2.62435e11 | − | 1.26382e11i | 1.33391 | − | 0.642375i | ||||
\(667\) | 2.33216e10 | + | 4.84279e10i | 0.117830 | + | 0.244676i | ||||
\(668\) | 9.01365e10 | − | 1.13028e11i | 0.452684 | − | 0.567648i | ||||
\(669\) | 2.98556e11 | + | 3.74377e11i | 1.49046 | + | 1.86898i | ||||
\(670\) | −4.67454e9 | + | 2.25114e9i | −0.0231974 | + | 0.0111713i | ||||
\(671\) | 2.91953e11 | + | 6.66363e10i | 1.44020 | + | 0.328716i | ||||
\(672\) | −6.31013e11 | − | 1.44025e11i | −3.09429 | − | 0.706252i | ||||
\(673\) | 3.86825e10 | − | 3.08482e10i | 0.188562 | − | 0.150373i | −0.524659 | − | 0.851313i | \(-0.675807\pi\) |
0.713221 | + | 0.700939i | \(0.247236\pi\) | |||||||
\(674\) | 4.99179e10 | − | 1.03656e11i | 0.241889 | − | 0.502289i | ||||
\(675\) | −2.38787e11 | + | 5.45015e10i | −1.15026 | + | 0.262539i | ||||
\(676\) | −3.31289e9 | − | 1.59541e9i | −0.0158643 | − | 0.00763984i | ||||
\(677\) | −3.50738e10 | − | 2.79704e10i | −0.166966 | − | 0.133151i | 0.536442 | − | 0.843937i | \(-0.319768\pi\) |
−0.703408 | + | 0.710786i | \(0.748339\pi\) | |||||||
\(678\) | −1.82156e11 | − | 4.15760e10i | −0.862036 | − | 0.196754i | ||||
\(679\) | −3.74024e11 | − | 2.98274e11i | −1.75962 | − | 1.40325i | ||||
\(680\) | 2.61442e10 | + | 1.14545e11i | 0.122276 | + | 0.535725i | ||||
\(681\) | −6.91881e11 | −3.21694 | ||||||||
\(682\) | 5.78065e10i | 0.267202i | ||||||||
\(683\) | −3.52971e10 | − | 1.54647e11i | −0.162202 | − | 0.710654i | −0.988971 | − | 0.148112i | \(-0.952681\pi\) |
0.826769 | − | 0.562542i | \(-0.190177\pi\) | |||||||
\(684\) | 8.04902e10 | − | 6.41888e10i | 0.367721 | − | 0.293248i | ||||
\(685\) | −1.46965e11 | + | 7.07746e10i | −0.667501 | + | 0.321451i | ||||
\(686\) | 2.43284e11 | + | 1.17159e11i | 1.09854 | + | 0.529030i | ||||
\(687\) | 1.09466e11i | 0.491417i | ||||||||
\(688\) | −6.49919e10 | + | 6.13340e10i | −0.290072 | + | 0.273746i | ||||
\(689\) | 1.13073e10 | 0.0501745 | ||||||||
\(690\) | −1.55101e10 | + | 3.22070e10i | −0.0684255 | + | 0.142087i | ||||
\(691\) | −1.51367e10 | − | 3.14317e10i | −0.0663925 | − | 0.137865i | 0.865132 | − | 0.501545i | \(-0.167235\pi\) |
−0.931524 | + | 0.363679i | \(0.881520\pi\) | |||||||
\(692\) | 1.85815e11 | + | 2.33005e11i | 0.810321 | + | 1.01611i | ||||
\(693\) | 8.28219e11 | − | 1.89036e11i | 3.59098 | − | 0.819617i | ||||
\(694\) | 5.22530e10 | 0.225254 | ||||||||
\(695\) | − | 1.00053e11i | − | 0.428837i | ||||||
\(696\) | 1.90668e11 | − | 4.35188e10i | 0.812533 | − | 0.185455i | ||||
\(697\) | −1.26671e11 | + | 1.58840e11i | −0.536717 | + | 0.673021i | ||||
\(698\) | −1.20779e10 | + | 5.29169e10i | −0.0508828 | + | 0.222932i | ||||
\(699\) | −8.32299e10 | + | 1.04367e11i | −0.348635 | + | 0.437174i | ||||
\(700\) | −1.21959e11 | + | 2.53251e11i | −0.507952 | + | 1.05477i | ||||
\(701\) | 1.23832e10 | + | 5.42544e10i | 0.0512816 | + | 0.224679i | 0.994075 | − | 0.108699i | \(-0.0346685\pi\) |
−0.942793 | + | 0.333378i | \(0.891811\pi\) | |||||||
\(702\) | −1.50216e11 | − | 7.23404e10i | −0.618542 | − | 0.297874i | ||||
\(703\) | 8.38155e10 | + | 1.05101e11i | 0.343165 | + | 0.430315i | ||||
\(704\) | 4.23627e9 | − | 1.85603e10i | 0.0172462 | − | 0.0755605i | ||||
\(705\) | −2.82845e10 | + | 1.23923e11i | −0.114497 | + | 0.501642i | ||||
\(706\) | −9.82574e10 | − | 2.04034e11i | −0.395500 | − | 0.821264i | ||||
\(707\) | −4.41946e10 | + | 3.52440e10i | −0.176885 | + | 0.141061i | ||||
\(708\) | −3.63547e11 | − | 2.89919e11i | −1.44687 | − | 1.15384i | ||||
\(709\) | −2.73373e10 | + | 1.31649e10i | −0.108186 | + | 0.0520996i | −0.487194 | − | 0.873294i | \(-0.661980\pi\) |
0.379008 | + | 0.925393i | \(0.376265\pi\) | |||||||
\(710\) | −5.74732e9 | − | 1.19344e10i | −0.0226168 | − | 0.0469644i | ||||
\(711\) | 9.29157e10 | − | 1.16513e11i | 0.363589 | − | 0.455926i | ||||
\(712\) | −1.78886e11 | − | 2.24316e11i | −0.696075 | − | 0.872851i | ||||
\(713\) | −5.72546e10 | + | 2.75724e10i | −0.221540 | + | 0.106688i | ||||
\(714\) | −5.56540e11 | − | 1.27027e11i | −2.14143 | − | 0.488767i | ||||
\(715\) | −1.20840e11 | − | 2.75809e10i | −0.462367 | − | 0.105532i | ||||
\(716\) | 2.60714e11 | − | 2.07913e11i | 0.992002 | − | 0.791095i | ||||
\(717\) | −1.40097e11 | + | 2.90915e11i | −0.530094 | + | 1.10075i | ||||
\(718\) | 1.69983e11 | − | 3.87975e10i | 0.639598 | − | 0.145984i | ||||
\(719\) | −1.93180e11 | − | 9.30306e10i | −0.722847 | − | 0.348105i | 0.0360193 | − | 0.999351i | \(-0.488532\pi\) |
−0.758866 | + | 0.651246i | \(0.774247\pi\) | |||||||
\(720\) | −6.85158e10 | − | 5.46395e10i | −0.254953 | − | 0.203319i | ||||
\(721\) | 6.01115e11 | + | 1.37201e11i | 2.22442 | + | 0.507709i | ||||
\(722\) | 8.84921e10 | + | 7.05701e10i | 0.325654 | + | 0.259700i | ||||
\(723\) | −7.34356e10 | − | 3.21743e11i | −0.268753 | − | 1.17748i | ||||
\(724\) | 4.85843e10 | 0.176824 | ||||||||
\(725\) | − | 1.32541e11i | − | 0.479730i | ||||||
\(726\) | 6.93693e9 | + | 3.03927e10i | 0.0249701 | + | 0.109401i | ||||
\(727\) | 8.95874e10 | − | 7.14435e10i | 0.320707 | − | 0.255756i | −0.449881 | − | 0.893088i | \(-0.648534\pi\) |
0.770589 | + | 0.637333i | \(0.219962\pi\) | |||||||
\(728\) | −3.92262e11 | + | 1.88904e11i | −1.39653 | + | 0.672535i | ||||
\(729\) | −3.40367e11 | − | 1.63912e11i | −1.20514 | − | 0.580365i | ||||
\(730\) | − | 9.23029e10i | − | 0.325030i | ||||||
\(731\) | −3.13726e11 | + | 2.96068e11i | −1.09870 | + | 1.03686i | ||||
\(732\) | 5.26415e11 | 1.83351 | ||||||||
\(733\) | −6.31222e10 | + | 1.31075e11i | −0.218658 | + | 0.454049i | −0.981226 | − | 0.192859i | \(-0.938224\pi\) |
0.762568 | + | 0.646908i | \(0.223938\pi\) | |||||||
\(734\) | 7.71505e9 | + | 1.60205e10i | 0.0265800 | + | 0.0551939i | ||||
\(735\) | 3.26809e11 | + | 4.09806e11i | 1.11981 | + | 1.40420i | ||||
\(736\) | 1.32647e11 | − | 3.02758e10i | 0.452050 | − | 0.103178i | ||||
\(737\) | −3.98283e10 | −0.134996 | ||||||||
\(738\) | 1.46363e11i | 0.493408i | ||||||||
\(739\) | 5.49446e10 | − | 1.25408e10i | 0.184225 | − | 0.0420481i | −0.129413 | − | 0.991591i | \(-0.541309\pi\) |
0.313638 | + | 0.949543i | \(0.398452\pi\) | |||||||
\(740\) | 1.09972e11 | − | 1.37900e11i | 0.366737 | − | 0.459873i | ||||
\(741\) | 3.69522e10 | − | 1.61898e11i | 0.122565 | − | 0.536994i | ||||
\(742\) | 8.05770e9 | − | 1.01040e10i | 0.0265825 | − | 0.0333334i | ||||
\(743\) | 1.97281e11 | − | 4.09657e11i | 0.647335 | − | 1.34420i | −0.276352 | − | 0.961056i | \(-0.589126\pi\) |
0.923687 | − | 0.383148i | \(-0.125160\pi\) | |||||||
\(744\) | 5.14507e10 | + | 2.25420e11i | 0.167919 | + | 0.735701i | ||||
\(745\) | 1.52954e11 | + | 7.36588e10i | 0.496519 | + | 0.239111i | ||||
\(746\) | −5.49876e10 | − | 6.89523e10i | −0.177546 | − | 0.222635i | ||||
\(747\) | −4.23383e10 | + | 1.85496e11i | −0.135973 | + | 0.595735i | ||||
\(748\) | −8.82029e10 | + | 3.86442e11i | −0.281758 | + | 1.23446i | ||||
\(749\) | 3.22072e10 | + | 6.68790e10i | 0.102335 | + | 0.212502i | ||||
\(750\) | 1.54261e11 | − | 1.23019e11i | 0.487540 | − | 0.388801i | ||||
\(751\) | 4.02460e11 | + | 3.20951e11i | 1.26521 | + | 1.00897i | 0.998984 | + | 0.0450616i | \(0.0143484\pi\) |
0.266227 | + | 0.963910i | \(0.414223\pi\) | |||||||
\(752\) | 7.96415e10 | − | 3.83533e10i | 0.249040 | − | 0.119931i | ||||
\(753\) | −3.06480e11 | − | 6.36412e11i | −0.953284 | − | 1.97951i | ||||
\(754\) | 5.62533e10 | − | 7.05394e10i | 0.174045 | − | 0.218246i | ||||
\(755\) | 1.29135e11 | + | 1.61930e11i | 0.397424 | + | 0.498355i | ||||
\(756\) | 6.23436e11 | − | 3.00231e11i | 1.90855 | − | 0.919111i | ||||
\(757\) | −1.45938e11 | − | 3.33093e10i | −0.444410 | − | 0.101434i | −0.00554102 | − | 0.999985i | \(-0.501764\pi\) |
−0.438869 | + | 0.898551i | \(0.644621\pi\) | |||||||
\(758\) | 2.40871e11 | + | 5.49772e10i | 0.729637 | + | 0.166535i | ||||
\(759\) | −2.14544e11 | + | 1.71093e11i | −0.646472 | + | 0.515545i | ||||
\(760\) | −1.69491e10 | + | 3.51951e10i | −0.0508033 | + | 0.105494i | ||||
\(761\) | 3.66591e11 | − | 8.36720e10i | 1.09306 | − | 0.249483i | 0.362260 | − | 0.932077i | \(-0.382005\pi\) |
0.730798 | + | 0.682594i | \(0.239148\pi\) | |||||||
\(762\) | 5.69697e10 | + | 2.74351e10i | 0.168975 | + | 0.0813743i | ||||
\(763\) | −4.55877e11 | − | 3.63549e11i | −1.34508 | − | 1.07267i | ||||
\(764\) | −1.73024e11 | − | 3.94915e10i | −0.507846 | − | 0.115912i | ||||
\(765\) | −3.30736e11 | − | 2.63753e11i | −0.965685 | − | 0.770108i | ||||
\(766\) | 1.61798e10 | + | 7.08882e10i | 0.0469956 | + | 0.205901i | ||||
\(767\) | −4.88109e11 | −1.41038 | ||||||||
\(768\) | − | 3.10946e11i | − | 0.893801i | ||||||
\(769\) | 2.10004e10 | + | 9.20086e10i | 0.0600512 | + | 0.263101i | 0.996037 | − | 0.0889352i | \(-0.0283464\pi\) |
−0.935986 | + | 0.352037i | \(0.885489\pi\) | |||||||
\(770\) | −1.10758e11 | + | 8.83262e10i | −0.315072 | + | 0.251262i | ||||
\(771\) | −6.59712e11 | + | 3.17701e11i | −1.86697 | + | 0.899085i | ||||
\(772\) | −3.45207e11 | − | 1.66243e11i | −0.971876 | − | 0.468031i | ||||
\(773\) | 3.13378e11i | 0.877709i | 0.898558 | + | 0.438854i | \(0.144616\pi\) | ||||
−0.898558 | + | 0.438854i | \(0.855384\pi\) | |||||||
\(774\) | −4.37187e10 | + | 3.07676e11i | −0.121816 | + | 0.857295i | ||||
\(775\) | 1.56698e11 | 0.434368 | ||||||||
\(776\) | 1.58759e11 | − | 3.29667e11i | 0.437816 | − | 0.909135i | ||||
\(777\) | 8.46058e11 | + | 1.75686e12i | 2.32122 | + | 4.82006i | ||||
\(778\) | 7.82452e10 | + | 9.81164e10i | 0.213570 | + | 0.267808i | ||||
\(779\) | −6.58548e10 | + | 1.50309e10i | −0.178829 | + | 0.0408165i | ||||
\(780\) | −2.17885e11 | −0.588638 | ||||||||
\(781\) | − | 1.01685e11i | − | 0.273307i | ||||||
\(782\) | 1.16992e11 | − | 2.67027e10i | 0.312845 | − | 0.0714048i | ||||
\(783\) | −2.03432e11 | + | 2.55095e11i | −0.541217 | + | 0.678665i | ||||
\(784\) | 8.11125e10 | − | 3.55377e11i | 0.214696 | − | 0.940644i | ||||
\(785\) | 2.13077e10 | − | 2.67190e10i | 0.0561122 | − | 0.0703624i | ||||
\(786\) | −2.00893e11 | + | 4.17158e11i | −0.526349 | + | 1.09298i | ||||
\(787\) | −1.69380e10 | − | 7.42103e10i | −0.0441534 | − | 0.193449i | 0.948041 | − | 0.318147i | \(-0.103061\pi\) |
−0.992195 | + | 0.124699i | \(0.960204\pi\) | |||||||
\(788\) | −7.76343e10 | − | 3.73867e10i | −0.201349 | − | 0.0969645i | ||||
\(789\) | −9.35982e10 | − | 1.17368e11i | −0.241523 | − | 0.302861i | ||||
\(790\) | −5.52990e9 | + | 2.42281e10i | −0.0141974 | + | 0.0622029i | ||||
\(791\) | 1.81128e11 | − | 7.93574e11i | 0.462679 | − | 2.02713i | ||||
\(792\) | 2.81920e11 | + | 5.85413e11i | 0.716515 | + | 1.48786i | ||||
\(793\) | 4.32026e11 | − | 3.44530e11i | 1.09249 | − | 0.871232i | ||||
\(794\) | −9.10335e10 | − | 7.25968e10i | −0.229044 | − | 0.182657i | ||||
\(795\) | 1.32589e10 | − | 6.38514e9i | 0.0331924 | − | 0.0159846i | ||||
\(796\) | −2.37749e10 | − | 4.93691e10i | −0.0592197 | − | 0.122971i | ||||
\(797\) | −1.06569e11 | + | 1.33633e11i | −0.264118 | + | 0.331193i | −0.896152 | − | 0.443747i | \(-0.853649\pi\) |
0.632034 | + | 0.774940i | \(0.282220\pi\) | |||||||
\(798\) | −1.18337e11 | − | 1.48390e11i | −0.291816 | − | 0.365926i | ||||
\(799\) | 3.84441e11 | − | 1.85137e11i | 0.943285 | − | 0.454262i | ||||
\(800\) | −3.27086e11 | − | 7.46551e10i | −0.798549 | − | 0.182264i | ||||
\(801\) | 1.00712e12 | + | 2.29869e11i | 2.44654 | + | 0.558407i | ||||
\(802\) | 1.32705e11 | − | 1.05828e11i | 0.320766 | − | 0.255802i | ||||
\(803\) | 3.07434e11 | − | 6.38393e11i | 0.739417 | − | 1.53541i | ||||
\(804\) | −6.82579e10 | + | 1.55794e10i | −0.163354 | + | 0.0372844i | ||||
\(805\) | −1.40312e11 | − | 6.75706e10i | −0.334126 | − | 0.160907i | ||||
\(806\) | 8.33963e10 | + | 6.65063e10i | 0.197609 | + | 0.157588i | ||||
\(807\) | 1.46313e11 | + | 3.33949e10i | 0.344975 | + | 0.0787384i | ||||
\(808\) | −3.38025e10 | − | 2.69566e10i | −0.0793055 | − | 0.0632440i | ||||
\(809\) | −1.40697e11 | − | 6.16435e11i | −0.328467 | − | 1.43911i | −0.822053 | − | 0.569410i | \(-0.807172\pi\) |
0.493587 | − | 0.869697i | \(-0.335686\pi\) | |||||||
\(810\) | −5.34488e10 | −0.124165 | ||||||||
\(811\) | − | 1.68524e11i | − | 0.389564i | −0.980847 | − | 0.194782i | \(-0.937600\pi\) | ||
0.980847 | − | 0.194782i | \(-0.0624000\pi\) | |||||||
\(812\) | 8.33228e10 | + | 3.65061e11i | 0.191664 | + | 0.839733i | ||||
\(813\) | −3.04309e11 | + | 2.42678e11i | −0.696550 | + | 0.555480i | ||||
\(814\) | −3.35948e11 | + | 1.61784e11i | −0.765199 | + | 0.368500i | ||||
\(815\) | 5.99173e10 | + | 2.88546e10i | 0.135807 | + | 0.0654011i | ||||
\(816\) | 4.52055e11i | 1.01960i | ||||||||
\(817\) | −1.42926e11 | + | 1.19263e10i | −0.320791 | + | 0.0267681i | ||||
\(818\) | 3.74794e11 | 0.837104 | ||||||||
\(819\) | 6.80148e11 | − | 1.41234e12i | 1.51171 | − | 3.13910i | ||||
\(820\) | 3.84543e10 | + | 7.98511e10i | 0.0850529 | + | 0.176614i | ||||
\(821\) | −4.92628e11 | − | 6.17736e11i | −1.08429 | − | 1.35966i | −0.928270 | − | 0.371906i | \(-0.878704\pi\) |
−0.156022 | − | 0.987754i | \(-0.549867\pi\) | |||||||
\(822\) | 5.90984e11 | − | 1.34888e11i | 1.29446 | − | 0.295452i | ||||
\(823\) | 2.21509e11 | 0.482828 | 0.241414 | − | 0.970422i | \(-0.422389\pi\) | ||||
0.241414 | + | 0.970422i | \(0.422389\pi\) | |||||||
\(824\) | 4.71590e11i | 1.02295i | ||||||||
\(825\) | 6.59690e11 | − | 1.50570e11i | 1.42405 | − | 0.325029i | ||||
\(826\) | −3.47831e11 | + | 4.36166e11i | −0.747219 | + | 0.936983i | ||||
\(827\) | 5.87372e10 | − | 2.57345e11i | 0.125572 | − | 0.550165i | −0.872529 | − | 0.488562i | \(-0.837522\pi\) |
0.998101 | − | 0.0616030i | \(-0.0196213\pi\) | |||||||
\(828\) | −1.95727e11 | + | 2.45434e11i | −0.416418 | + | 0.522171i | ||||
\(829\) | −1.74134e11 | + | 3.61593e11i | −0.368694 | + | 0.765601i | −0.999950 | − | 0.00997333i | \(-0.996825\pi\) |
0.631256 | + | 0.775574i | \(0.282540\pi\) | |||||||
\(830\) | −7.06027e9 | − | 3.09330e10i | −0.0148768 | − | 0.0651794i | ||||
\(831\) | 9.13641e11 | + | 4.39986e11i | 1.91589 | + | 0.922646i | ||||
\(832\) | −2.19028e10 | − | 2.74652e10i | −0.0457095 | − | 0.0573179i | ||||
\(833\) | 3.91542e11 | − | 1.71546e12i | 0.813202 | − | 3.56287i | ||||
\(834\) | −8.27374e10 | + | 3.62496e11i | −0.171016 | + | 0.749271i | ||||
\(835\) | −8.56942e10 | − | 1.77946e11i | −0.176281 | − | 0.366051i | ||||
\(836\) | −1.03037e11 | + | 8.21692e10i | −0.210944 | + | 0.168222i | ||||
\(837\) | −3.01591e11 | − | 2.40510e11i | −0.614492 | − | 0.490041i | ||||
\(838\) | 2.68207e10 | − | 1.29161e10i | 0.0543868 | − | 0.0261913i | ||||
\(839\) | 2.54255e10 | + | 5.27967e10i | 0.0513124 | + | 0.106551i | 0.925049 | − | 0.379849i | \(-0.124024\pi\) |
−0.873736 | + | 0.486400i | \(0.838310\pi\) | |||||||
\(840\) | −3.53292e11 | + | 4.43014e11i | −0.709605 | + | 0.889816i | ||||
\(841\) | 2.01813e11 | + | 2.53066e11i | 0.403427 | + | 0.505882i | ||||
\(842\) | 1.48959e11 | − | 7.17347e10i | 0.296359 | − | 0.142719i | ||||
\(843\) | −2.56579e11 | − | 5.85626e10i | −0.508056 | − | 0.115960i | ||||
\(844\) | −1.75609e11 | − | 4.00815e10i | −0.346080 | − | 0.0789904i | ||||
\(845\) | −3.92751e9 | + | 3.13208e9i | −0.00770354 | + | 0.00614337i | ||||
\(846\) | 1.33376e11 | − | 2.76959e11i | 0.260374 | − | 0.540672i | ||||
\(847\) | −1.32407e11 | + | 3.02211e10i | −0.257264 | + | 0.0587187i | ||||
\(848\) | −9.22060e9 | − | 4.44041e9i | −0.0178310 | − | 0.00858696i | ||||
\(849\) | −2.04365e11 | − | 1.62976e11i | −0.393347 | − | 0.313684i | ||||
\(850\) | −2.88483e11 | − | 6.58443e10i | −0.552642 | − | 0.126137i | ||||
\(851\) | −3.20479e11 | − | 2.55573e11i | −0.611056 | − | 0.487301i | ||||
\(852\) | −3.97754e10 | − | 1.74267e11i | −0.0754842 | − | 0.330718i | ||||
\(853\) | −9.34935e11 | −1.76598 | −0.882989 | − | 0.469394i | \(-0.844472\pi\) | ||||
−0.882989 | + | 0.469394i | \(0.844472\pi\) | |||||||
\(854\) | − | 6.31567e11i | − | 1.18737i | ||||||
\(855\) | −3.12973e10 | − | 1.37122e11i | −0.0585656 | − | 0.256593i | ||||
\(856\) | −4.43887e10 | + | 3.53988e10i | −0.0826756 | + | 0.0659316i | ||||
\(857\) | −4.73725e11 | + | 2.28134e11i | −0.878219 | + | 0.422928i | −0.817974 | − | 0.575255i | \(-0.804903\pi\) |
−0.0602456 | + | 0.998184i | \(0.519188\pi\) | |||||||
\(858\) | 4.14999e11 | + | 1.99853e11i | 0.765769 | + | 0.368775i | ||||
\(859\) | 8.51656e11i | 1.56420i | 0.623154 | + | 0.782099i | \(0.285851\pi\) | ||||
−0.623154 | + | 0.782099i | \(0.714149\pi\) | |||||||
\(860\) | 5.69849e10 | + | 1.79345e11i | 0.104176 | + | 0.327865i | ||||
\(861\) | −9.79820e11 | −1.78293 | ||||||||
\(862\) | −1.54922e11 | + | 3.21699e11i | −0.280598 | + | 0.582668i | ||||
\(863\) | 3.61248e11 | + | 7.50140e11i | 0.651272 | + | 1.35238i | 0.921045 | + | 0.389457i | \(0.127337\pi\) |
−0.269772 | + | 0.962924i | \(0.586948\pi\) | |||||||
\(864\) | 5.14943e11 | + | 6.45718e11i | 0.924068 | + | 1.15874i | ||||
\(865\) | 3.96946e11 | − | 9.06002e10i | 0.709033 | − | 0.161832i | ||||
\(866\) | −2.14006e11 | −0.380500 | ||||||||
\(867\) | 1.22600e12i | 2.16977i | ||||||||
\(868\) | −4.31599e11 | + | 9.85097e10i | −0.760329 | + | 0.173540i | ||||
\(869\) | −1.18943e11 | + | 1.49150e11i | −0.208574 | + | 0.261543i | ||||
\(870\) | 2.61293e10 | − | 1.14480e11i | 0.0456089 | − | 0.199826i | ||||
\(871\) | −4.58225e10 | + | 5.74596e10i | −0.0796170 | + | 0.0998366i | ||||
\(872\) | 1.93503e11 | − | 4.01813e11i | 0.334673 | − | 0.694956i | ||||
\(873\) | 2.93157e11 | + | 1.28440e12i | 0.504711 | + | 2.21128i | ||||
\(874\) | 3.59469e10 | + | 1.73111e10i | 0.0616049 | + | 0.0296674i | ||||
\(875\) | 5.35939e11 | + | 6.72046e11i | 0.914288 | + | 1.14648i | ||||
\(876\) | 2.77164e11 | − | 1.21434e12i | 0.470675 | − | 2.06216i | ||||
\(877\) | −8.33106e10 | + | 3.65008e11i | −0.140832 | + | 0.617026i | 0.854410 | + | 0.519599i | \(0.173919\pi\) |
−0.995243 | + | 0.0974275i | \(0.968939\pi\) | |||||||
\(878\) | 1.36516e11 | + | 2.83479e11i | 0.229724 | + | 0.477027i | ||||
\(879\) | 6.01505e10 | − | 4.79684e10i | 0.100759 | − | 0.0803526i | ||||
\(880\) | 8.77083e10 | + | 6.99450e10i | 0.146255 | + | 0.116634i | ||||
\(881\) | −7.18402e11 | + | 3.45964e11i | −1.19252 | + | 0.574285i | −0.921533 | − | 0.388299i | \(-0.873063\pi\) |
−0.270982 | + | 0.962584i | \(0.587348\pi\) | |||||||
\(882\) | −5.50004e11 | − | 1.14209e12i | −0.908848 | − | 1.88724i | ||||
\(883\) | 4.22066e11 | − | 5.29254e11i | 0.694284 | − | 0.870605i | −0.302298 | − | 0.953214i | \(-0.597754\pi\) |
0.996582 | + | 0.0826086i | \(0.0263251\pi\) | |||||||
\(884\) | 4.56035e11 | + | 5.71850e11i | 0.746774 | + | 0.936425i | ||||
\(885\) | −5.72353e11 | + | 2.75631e11i | −0.933020 | + | 0.449319i | ||||
\(886\) | 3.20210e11 | + | 7.30857e10i | 0.519636 | + | 0.118604i | ||||
\(887\) | −8.65085e11 | − | 1.97450e11i | −1.39754 | − | 0.318979i | −0.543597 | − | 0.839346i | \(-0.682938\pi\) |
−0.853943 | + | 0.520367i | \(0.825795\pi\) | |||||||
\(888\) | −1.16606e12 | + | 9.29899e11i | −1.87529 | + | 1.49549i | ||||
\(889\) | −1.19523e11 | + | 2.48191e11i | −0.191357 | + | 0.397356i | ||||
\(890\) | −1.67946e11 | + | 3.83326e10i | −0.267676 | + | 0.0610953i | ||||
\(891\) | −3.69667e11 | − | 1.78022e11i | −0.586542 | − | 0.282464i | ||||
\(892\) | −5.48247e11 | − | 4.37212e11i | −0.865998 | − | 0.690610i | ||||
\(893\) | 1.38312e11 | + | 3.15689e10i | 0.217498 | + | 0.0496425i | ||||
\(894\) | −4.93246e11 | − | 3.93351e11i | −0.772171 | − | 0.615786i | ||||
\(895\) | −1.01374e11 | − | 4.44151e11i | −0.157992 | − | 0.692210i | ||||
\(896\) | 1.16871e12 | 1.81332 | ||||||||
\(897\) | 5.06362e11i | 0.782153i | ||||||||
\(898\) | −6.03575e10 | − | 2.64444e11i | −0.0928167 | − | 0.406656i | ||||
\(899\) | 1.63203e11 | − | 1.30150e11i | 0.249856 | − | 0.199254i | ||||
\(900\) | 6.97420e11 | − | 3.35860e11i | 1.06298 | − | 0.511903i | ||||
\(901\) | −4.45092e10 | − | 2.14345e10i | −0.0675384 | − | 0.0325248i | ||||
\(902\) | − | 1.87362e11i | − | 0.283045i | ||||||
\(903\) | −2.05972e12 | − | 2.92673e11i | −3.09783 | − | 0.440181i | ||||
\(904\) | 6.22579e11 | 0.932225 | ||||||||
\(905\) | 2.87989e10 | − | 5.98016e10i | 0.0429321 | − | 0.0891494i | ||||
\(906\) | −3.33953e11 | − | 6.93461e11i | −0.495647 | − | 1.02922i | ||||
\(907\) | 2.71508e11 | + | 3.40461e11i | 0.401194 | + | 0.503081i | 0.940859 | − | 0.338799i | \(-0.110021\pi\) |
−0.539665 | + | 0.841880i | \(0.681449\pi\) | |||||||
\(908\) | 9.87804e11 | − | 2.25460e11i | 1.45321 | − | 0.331685i | ||||
\(909\) | 1.55668e11 | 0.228005 | ||||||||
\(910\) | 2.61407e11i | 0.381199i | ||||||||
\(911\) | 5.61014e11 | − | 1.28048e11i | 0.814518 | − | 0.185908i | 0.205083 | − | 0.978745i | \(-0.434254\pi\) |
0.609435 | + | 0.792836i | \(0.291396\pi\) | |||||||
\(912\) | −9.37106e10 | + | 1.17509e11i | −0.135460 | + | 0.169861i | ||||
\(913\) | 5.41981e10 | − | 2.37457e11i | 0.0780011 | − | 0.341745i | ||||
\(914\) | 2.13441e11 | − | 2.67646e11i | 0.305839 | − | 0.383510i | ||||
\(915\) | 3.12038e11 | − | 6.47955e11i | 0.445168 | − | 0.924400i | ||||
\(916\) | −3.56710e10 | − | 1.56285e11i | −0.0506680 | − | 0.221991i | ||||
\(917\) | −1.81737e12 | − | 8.75200e11i | −2.57020 | − | 1.23774i | ||||
\(918\) | 4.54168e11 | + | 5.69509e11i | 0.639508 | + | 0.801918i | ||||
\(919\) | −2.11033e11 | + | 9.24596e11i | −0.295861 | + | 1.29625i | 0.580366 | + | 0.814356i | \(0.302909\pi\) |
−0.876227 | + | 0.481898i | \(0.839948\pi\) | |||||||
\(920\) | 2.65054e10 | − | 1.16128e11i | 0.0369984 | − | 0.162101i | ||||
\(921\) | −3.77525e11 | − | 7.83938e11i | −0.524695 | − | 1.08954i | ||||
\(922\) | −1.48795e11 | + | 1.18660e11i | −0.205904 | + | 0.164203i | ||||
\(923\) | −1.46698e11 | − | 1.16988e11i | −0.202124 | − | 0.161189i | ||||
\(924\) | −1.72235e12 | + | 8.29440e11i | −2.36283 | + | 1.13788i | ||||
\(925\) | 4.38554e11 | + | 9.10667e11i | 0.599041 | + | 1.24392i | ||||
\(926\) | 3.41052e11 | − | 4.27666e11i | 0.463849 | − | 0.581648i | ||||
\(927\) | −1.05866e12 | − | 1.32752e12i | −1.43363 | − | 1.79772i | ||||
\(928\) | −4.02671e11 | + | 1.93916e11i | −0.542948 | + | 0.261470i | ||||
\(929\) | 2.15647e11 | + | 4.92200e10i | 0.289521 | + | 0.0660814i | 0.364815 | − | 0.931080i | \(-0.381132\pi\) |
−0.0752936 | + | 0.997161i | \(0.523989\pi\) | |||||||
\(930\) | 1.35346e11 | + | 3.08917e10i | 0.180931 | + | 0.0412962i | ||||
\(931\) | 4.57392e11 | − | 3.64758e11i | 0.608821 | − | 0.485519i | ||||
\(932\) | 8.48184e10 | − | 1.76127e11i | 0.112416 | − | 0.233433i | ||||
\(933\) | 9.74988e11 | − | 2.22535e11i | 1.28669 | − | 0.293678i | ||||
\(934\) | 3.83983e11 | + | 1.84916e11i | 0.504573 | + | 0.242990i | ||||
\(935\) | 4.23381e11 | + | 3.37635e11i | 0.553968 | + | 0.441775i | ||||
\(936\) | 1.16891e12 | + | 2.66797e11i | 1.52293 | + | 0.347598i | ||||
\(937\) | −8.96241e11 | − | 7.14728e11i | −1.16270 | − | 0.927219i | −0.164448 | − | 0.986386i | \(-0.552584\pi\) |
−0.998248 | + | 0.0591664i | \(0.981156\pi\) | |||||||
\(938\) | 1.86914e10 | + | 8.18924e10i | 0.0241452 | + | 0.105787i | ||||
\(939\) | −6.82967e11 | −0.878490 | ||||||||
\(940\) | − | 1.86142e11i | − | 0.238415i | ||||||
\(941\) | 2.03844e11 | + | 8.93101e11i | 0.259980 | + | 1.13905i | 0.921272 | + | 0.388919i | \(0.127151\pi\) |
−0.661292 | + | 0.750129i | \(0.729991\pi\) | |||||||
\(942\) | −9.92929e10 | + | 7.91835e10i | −0.126100 | + | 0.100561i | ||||
\(943\) | 1.85573e11 | − | 8.93674e10i | 0.234676 | − | 0.113014i | ||||
\(944\) | 3.98030e11 | + | 1.91681e11i | 0.501220 | + | 0.241375i | ||||
\(945\) | − | 9.45341e11i | − | 1.18539i | ||||||
\(946\) | 5.59651e10 | − | 3.93862e11i | 0.0698800 | − | 0.491790i | ||||
\(947\) | 6.23874e11 | 0.775706 | 0.387853 | − | 0.921721i | \(-0.373217\pi\) | ||||
0.387853 | + | 0.921721i | \(0.373217\pi\) | |||||||
\(948\) | −1.45503e11 | + | 3.02140e11i | −0.180152 | + | 0.374089i | ||||
\(949\) | −5.67295e11 | − | 1.17800e12i | −0.699430 | − | 1.45238i | ||||
\(950\) | −6.13401e10 | − | 7.69180e10i | −0.0753095 | − | 0.0944352i | ||||
\(951\) | 1.80689e12 | − | 4.12410e11i | 2.20907 | − | 0.504205i | ||||
\(952\) | 1.90216e12 | 2.31579 | ||||||||
\(953\) | − | 2.48340e11i | − | 0.301075i | −0.988604 | − | 0.150538i | \(-0.951900\pi\) | ||
0.988604 | − | 0.150538i | \(-0.0481005\pi\) | |||||||
\(954\) | −3.46974e10 | + | 7.91946e9i | −0.0418894 | + | 0.00956097i | ||||
\(955\) | −1.51171e11 | + | 1.89562e11i | −0.181742 | + | 0.227897i | ||||
\(956\) | 1.05219e11 | − | 4.60994e11i | 0.125969 | − | 0.551905i | ||||
\(957\) | 5.62016e11 | − | 7.04745e11i | 0.670040 | − | 0.840203i | ||||
\(958\) | −1.65765e11 | + | 3.44214e11i | −0.196802 | + | 0.408665i | ||||
\(959\) | 5.87648e11 | + | 2.57465e12i | 0.694773 | + | 3.04400i | ||||
\(960\) | −4.11924e10 | − | 1.98372e10i | −0.0484990 | − | 0.0233559i | ||||
\(961\) | −3.77897e11 | − | 4.73867e11i | −0.443077 | − | 0.555601i | ||||
\(962\) | −1.53105e11 | + | 6.70798e11i | −0.178768 | + | 0.783234i | ||||
\(963\) | 4.54877e10 | − | 1.99295e11i | 0.0528918 | − | 0.231734i | ||||
\(964\) | 2.09689e11 | + | 4.35424e11i | 0.242811 | + | 0.504202i | ||||
\(965\) | −4.09251e11 | + | 3.26367e11i | −0.471933 | + | 0.376354i | ||||
\(966\) | 4.52477e11 | + | 3.60838e11i | 0.519623 | + | 0.414385i | ||||
\(967\) | 4.28878e11 | − | 2.06537e11i | 0.490487 | − | 0.236206i | −0.172257 | − | 0.985052i | \(-0.555106\pi\) |
0.662744 | + | 0.748846i | \(0.269392\pi\) | |||||||
\(968\) | −4.50705e10 | − | 9.35898e10i | −0.0513323 | − | 0.106593i | ||||
\(969\) | −4.52355e11 | + | 5.67235e11i | −0.513079 | + | 0.643381i | ||||
\(970\) | −1.36976e11 | − | 1.71763e11i | −0.154724 | − | 0.194018i | ||||
\(971\) | 5.11341e11 | − | 2.46249e11i | 0.575219 | − | 0.277011i | −0.123573 | − | 0.992335i | \(-0.539435\pi\) |
0.698792 | + | 0.715324i | \(0.253721\pi\) | |||||||
\(972\) | 2.93791e11 | + | 6.70558e10i | 0.329134 | + | 0.0751227i | ||||
\(973\) | −1.57923e12 | − | 3.60450e11i | −1.76196 | − | 0.402155i | ||||
\(974\) | −1.06734e11 | + | 8.51176e10i | −0.118595 | + | 0.0945766i | ||||
\(975\) | 5.41749e11 | − | 1.12495e12i | 0.599487 | − | 1.24485i | ||||
\(976\) | −4.87595e11 | + | 1.11290e11i | −0.537353 | + | 0.122647i | ||||
\(977\) | −1.25329e12 | − | 6.03551e11i | −1.37554 | − | 0.662423i | −0.407493 | − | 0.913208i | \(-0.633597\pi\) |
−0.968043 | + | 0.250785i | \(0.919311\pi\) | |||||||
\(978\) | −1.93221e11 | − | 1.54089e11i | −0.211203 | − | 0.168428i | ||||
\(979\) | −1.28924e12 | − | 2.94260e11i | −1.40347 | − | 0.320332i | ||||
\(980\) | −6.00130e11 | − | 4.78587e11i | −0.650640 | − | 0.518868i | ||||
\(981\) | 3.57312e11 | + | 1.56549e12i | 0.385809 | + | 1.69034i | ||||
\(982\) | 4.65336e11 | 0.500404 | ||||||||
\(983\) | 2.14984e11i | 0.230246i | 0.993351 | + | 0.115123i | \(0.0367261\pi\) | ||||
−0.993351 | + | 0.115123i | \(0.963274\pi\) | |||||||
\(984\) | −1.66762e11 | − | 7.30632e11i | −0.177876 | − | 0.779324i | ||||
\(985\) | −9.20373e10 | + | 7.33973e10i | −0.0977730 | + | 0.0779713i | ||||
\(986\) | −3.55147e11 | + | 1.71030e11i | −0.375752 | + | 0.180952i | ||||
\(987\) | 1.85409e12 | + | 8.92881e11i | 1.95372 | + | 0.940860i | ||||
\(988\) | 2.43185e11i | 0.255217i | ||||||||
\(989\) | 4.16796e11 | − | 1.32432e11i | 0.435651 | − | 0.138423i | ||||
\(990\) | 3.90124e11 | 0.406127 | ||||||||
\(991\) | −2.03011e11 | + | 4.21557e11i | −0.210487 | + | 0.437080i | −0.979306 | − | 0.202386i | \(-0.935130\pi\) |
0.768819 | + | 0.639466i | \(0.220845\pi\) | |||||||
\(992\) | −2.29260e11 | − | 4.76064e11i | −0.236746 | − | 0.491608i | ||||
\(993\) | 1.30881e12 | + | 1.64119e12i | 1.34610 | + | 1.68796i | ||||
\(994\) | −2.09077e11 | + | 4.77205e10i | −0.214171 | + | 0.0488832i | ||||
\(995\) | −7.48603e10 | −0.0763765 | ||||||||
\(996\) | − | 4.28155e11i | − | 0.435075i | ||||||
\(997\) | −7.16962e11 | + | 1.63642e11i | −0.725630 | + | 0.165620i | −0.569353 | − | 0.822093i | \(-0.692806\pi\) |
−0.156277 | + | 0.987713i | \(0.549949\pi\) | |||||||
\(998\) | −2.06865e10 | + | 2.59400e10i | −0.0208528 | + | 0.0261486i | ||||
\(999\) | 5.53683e11 | − | 2.42584e12i | 0.555903 | − | 2.43557i |
(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.22.17 | yes | 174 | |
43.2 | odd | 14 | inner | 43.9.f.a.2.17 | ✓ | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.f.a.2.17 | ✓ | 174 | 43.2 | odd | 14 | inner | |
43.9.f.a.22.17 | yes | 174 | 1.1 | even | 1 | trivial |