Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 3.18 | ||
Character | \(\chi\) | \(=\) | 43.3 |
Dual form | 43.9.h.a.29.18 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.70483 | − | 7.69316i | 0.231552 | − | 0.480822i | −0.752526 | − | 0.658563i | \(-0.771165\pi\) |
0.984077 | + | 0.177741i | \(0.0568788\pi\) | |||||||
\(3\) | 20.6613 | + | 1.54835i | 0.255078 | + | 0.0191154i | 0.201655 | − | 0.979457i | \(-0.435368\pi\) |
0.0534226 | + | 0.998572i | \(0.482987\pi\) | |||||||
\(4\) | 114.154 | + | 143.145i | 0.445916 | + | 0.559161i | ||||
\(5\) | −181.686 | + | 589.011i | −0.290698 | + | 0.942418i | 0.685964 | + | 0.727635i | \(0.259381\pi\) |
−0.976662 | + | 0.214783i | \(0.931096\pi\) | |||||||
\(6\) | 88.4583 | − | 153.214i | 0.0682549 | − | 0.118221i | ||||
\(7\) | 2375.79 | − | 1371.67i | 0.989502 | − | 0.571289i | 0.0843766 | − | 0.996434i | \(-0.473110\pi\) |
0.905125 | + | 0.425145i | \(0.139777\pi\) | |||||||
\(8\) | 3655.28 | − | 834.293i | 0.892402 | − | 0.203685i | ||||
\(9\) | −6063.23 | − | 913.884i | −0.924131 | − | 0.139290i | ||||
\(10\) | 3858.24 | + | 3579.93i | 0.385824 | + | 0.357993i | ||||
\(11\) | −17515.6 | + | 21963.9i | −1.19634 | + | 1.50016i | −0.377626 | + | 0.925958i | \(0.623260\pi\) |
−0.818713 | + | 0.574204i | \(0.805312\pi\) | |||||||
\(12\) | 2136.94 | + | 3134.32i | 0.103055 | + | 0.151153i | ||||
\(13\) | −22129.8 | + | 20533.5i | −0.774826 | + | 0.718934i | −0.964837 | − | 0.262848i | \(-0.915338\pi\) |
0.190011 | + | 0.981782i | \(0.439148\pi\) | |||||||
\(14\) | −1750.53 | − | 23359.1i | −0.0455676 | − | 0.608058i | ||||
\(15\) | −4665.87 | + | 11888.4i | −0.0921653 | + | 0.234833i | ||||
\(16\) | −3305.93 | + | 14484.2i | −0.0504445 | + | 0.221012i | ||||
\(17\) | 95601.8 | − | 29489.3i | 1.14464 | − | 0.353076i | 0.336282 | − | 0.941761i | \(-0.390831\pi\) |
0.808362 | + | 0.588686i | \(0.200354\pi\) | |||||||
\(18\) | −29493.9 | + | 43259.6i | −0.280958 | + | 0.412090i | ||||
\(19\) | −7179.70 | − | 47634.2i | −0.0550924 | − | 0.365514i | −0.999342 | − | 0.0362826i | \(-0.988448\pi\) |
0.944249 | − | 0.329232i | \(-0.106790\pi\) | |||||||
\(20\) | −105054. | + | 41230.8i | −0.656590 | + | 0.257693i | ||||
\(21\) | 51210.9 | − | 24661.8i | 0.263321 | − | 0.126809i | ||||
\(22\) | 104079. | + | 216123.i | 0.444297 | + | 0.922592i | ||||
\(23\) | 175654. | + | 447558.i | 0.627691 | + | 1.59933i | 0.790355 | + | 0.612649i | \(0.209896\pi\) |
−0.162665 | + | 0.986681i | \(0.552009\pi\) | |||||||
\(24\) | 76814.6 | − | 11577.9i | 0.231526 | − | 0.0348969i | ||||
\(25\) | 8824.89 | + | 6016.71i | 0.0225917 | + | 0.0154028i | ||||
\(26\) | 75980.0 | + | 246321.i | 0.166267 | + | 0.539024i | ||||
\(27\) | −256390. | − | 58519.3i | −0.482443 | − | 0.110114i | ||||
\(28\) | 467555. | + | 183502.i | 0.760677 | + | 0.298544i | ||||
\(29\) | −874301. | + | 65519.8i | −1.23614 | + | 0.0926362i | −0.676717 | − | 0.736243i | \(-0.736598\pi\) |
−0.559427 | + | 0.828880i | \(0.688979\pi\) | |||||||
\(30\) | 74173.4 | + | 79939.9i | 0.0915721 | + | 0.0986912i | ||||
\(31\) | 695202. | − | 473981.i | 0.752773 | − | 0.513232i | −0.125089 | − | 0.992146i | \(-0.539922\pi\) |
0.877862 | + | 0.478913i | \(0.158969\pi\) | |||||||
\(32\) | 849596. | + | 677530.i | 0.810238 | + | 0.646143i | ||||
\(33\) | −395903. | + | 426682.i | −0.333836 | + | 0.359790i | ||||
\(34\) | 127323. | − | 844732.i | 0.0952776 | − | 0.632126i | ||||
\(35\) | 376278. | + | 1.64858e6i | 0.250748 | + | 1.09860i | ||||
\(36\) | −561326. | − | 972246.i | −0.334199 | − | 0.578850i | ||||
\(37\) | 1.23942e6 | + | 715581.i | 0.661321 | + | 0.381814i | 0.792780 | − | 0.609508i | \(-0.208633\pi\) |
−0.131459 | + | 0.991322i | \(0.541966\pi\) | |||||||
\(38\) | −393057. | − | 121242.i | −0.188504 | − | 0.0581458i | ||||
\(39\) | −489024. | + | 389984.i | −0.211384 | + | 0.168573i | ||||
\(40\) | −172704. | + | 2.30458e6i | −0.0674627 | + | 0.900227i | ||||
\(41\) | 1.56977e6 | + | 755963.i | 0.555522 | + | 0.267525i | 0.690511 | − | 0.723322i | \(-0.257386\pi\) |
−0.134989 | + | 0.990847i | \(0.543100\pi\) | |||||||
\(42\) | − | 485341.i | − | 0.155973i | ||||||
\(43\) | −3.41822e6 | + | 62847.2i | −0.999831 | + | 0.0183828i | ||||
\(44\) | −5.14351e6 | −1.37230 | ||||||||
\(45\) | 1.63989e6 | − | 3.40527e6i | 0.399913 | − | 0.830427i | ||||
\(46\) | 4.09390e6 | + | 306796.i | 0.914337 | + | 0.0685201i | ||||
\(47\) | −2.32928e6 | − | 2.92083e6i | −0.477343 | − | 0.598569i | 0.483609 | − | 0.875284i | \(-0.339326\pi\) |
−0.960952 | + | 0.276715i | \(0.910754\pi\) | |||||||
\(48\) | −90731.5 | + | 294144.i | −0.0170920 | + | 0.0554110i | ||||
\(49\) | 880532. | − | 1.52513e6i | 0.152743 | − | 0.264558i | ||||
\(50\) | 78982.2 | − | 45600.4i | 0.0126371 | − | 0.00729606i | ||||
\(51\) | 2.02092e6 | − | 461261.i | 0.298723 | − | 0.0681815i | ||||
\(52\) | −5.46548e6 | − | 823789.i | −0.747507 | − | 0.112669i | ||||
\(53\) | 5.21502e6 | + | 4.83883e6i | 0.660926 | + | 0.613250i | 0.937601 | − | 0.347714i | \(-0.113042\pi\) |
−0.276675 | + | 0.960964i | \(0.589232\pi\) | |||||||
\(54\) | −1.40008e6 | + | 1.75564e6i | −0.164656 | + | 0.206472i | ||||
\(55\) | −9.75463e6 | − | 1.43074e7i | −1.06601 | − | 1.56354i | ||||
\(56\) | 7.53982e6 | − | 6.99593e6i | 0.766671 | − | 0.711366i | ||||
\(57\) | −74587.5 | − | 995302.i | −0.00706589 | − | 0.0942877i | ||||
\(58\) | −2.73508e6 | + | 6.96888e6i | −0.241690 | + | 0.615816i | ||||
\(59\) | 1.08592e6 | − | 4.75773e6i | 0.0896169 | − | 0.392637i | −0.910149 | − | 0.414281i | \(-0.864033\pi\) |
0.999766 | + | 0.0216442i | \(0.00689011\pi\) | |||||||
\(60\) | −2.23440e6 | + | 689222.i | −0.172408 | + | 0.0531807i | ||||
\(61\) | 1.02293e7 | − | 1.50036e7i | 0.738800 | − | 1.08362i | −0.254389 | − | 0.967102i | \(-0.581874\pi\) |
0.993189 | − | 0.116518i | \(-0.0371732\pi\) | |||||||
\(62\) | −1.07080e6 | − | 7.10432e6i | −0.0724674 | − | 0.480790i | ||||
\(63\) | −1.56585e7 | + | 6.14552e6i | −0.994005 | + | 0.390118i | ||||
\(64\) | 4.93328e6 | − | 2.37574e6i | 0.294046 | − | 0.141605i | ||||
\(65\) | −8.07377e6 | − | 1.67654e7i | −0.452296 | − | 0.939203i | ||||
\(66\) | 1.81578e6 | + | 4.62653e6i | 0.0956945 | + | 0.243826i | ||||
\(67\) | 9.29438e6 | − | 1.40090e6i | 0.461234 | − | 0.0695199i | 0.0856849 | − | 0.996322i | \(-0.472692\pi\) |
0.375549 | + | 0.926802i | \(0.377454\pi\) | |||||||
\(68\) | 1.51346e7 | + | 1.03186e7i | 0.707841 | + | 0.482598i | ||||
\(69\) | 2.93626e6 | + | 9.51911e6i | 0.129538 | + | 0.419952i | ||||
\(70\) | 1.40768e7 | + | 3.21295e6i | 0.586291 | + | 0.133817i | ||||
\(71\) | 1.90411e6 | + | 747310.i | 0.0749307 | + | 0.0294081i | 0.402510 | − | 0.915415i | \(-0.368138\pi\) |
−0.327580 | + | 0.944824i | \(0.606233\pi\) | |||||||
\(72\) | −2.29252e7 | + | 1.71801e6i | −0.853068 | + | 0.0639286i | ||||
\(73\) | −1.17449e7 | − | 1.26580e7i | −0.413579 | − | 0.445732i | 0.491563 | − | 0.870842i | \(-0.336426\pi\) |
−0.905142 | + | 0.425110i | \(0.860235\pi\) | |||||||
\(74\) | 1.00969e7 | − | 6.88397e6i | 0.336715 | − | 0.229568i | ||||
\(75\) | 173018. | + | 137977.i | 0.00546822 | + | 0.00436076i | ||||
\(76\) | 5.99901e6 | − | 6.46540e6i | 0.179815 | − | 0.193794i | ||||
\(77\) | −1.14864e7 | + | 7.62072e7i | −0.326754 | + | 2.16787i | ||||
\(78\) | 1.18845e6 | + | 5.20696e6i | 0.0321073 | + | 0.140671i | ||||
\(79\) | −3.00323e7 | − | 5.20175e7i | −0.771046 | − | 1.33549i | −0.936990 | − | 0.349355i | \(-0.886401\pi\) |
0.165944 | − | 0.986135i | \(-0.446933\pi\) | |||||||
\(80\) | −7.93073e6 | − | 4.57881e6i | −0.193621 | − | 0.111787i | ||||
\(81\) | 3.32361e7 | + | 1.02520e7i | 0.772094 | + | 0.238159i | ||||
\(82\) | 1.16315e7 | − | 9.27580e6i | 0.257264 | − | 0.205161i | ||||
\(83\) | 3.65284e6 | − | 4.87438e7i | 0.0769695 | − | 1.02709i | −0.816319 | − | 0.577602i | \(-0.803989\pi\) |
0.893288 | − | 0.449485i | \(-0.148392\pi\) | |||||||
\(84\) | 9.37617e6 | + | 4.51533e6i | 0.188325 | + | 0.0906926i | ||||
\(85\) | 6.16683e7i | 1.18137i | ||||||||
\(86\) | −1.21804e7 | + | 2.65298e7i | −0.222674 | + | 0.484998i | ||||
\(87\) | −1.81657e7 | −0.317084 | ||||||||
\(88\) | −4.57001e7 | + | 9.48972e7i | −0.762055 | + | 1.58242i | ||||
\(89\) | 9.50125e7 | + | 7.12020e6i | 1.51433 | + | 0.113483i | 0.805796 | − | 0.592193i | \(-0.201738\pi\) |
0.708534 | + | 0.705677i | \(0.249357\pi\) | |||||||
\(90\) | −2.01218e7 | − | 2.52319e7i | −0.306687 | − | 0.384574i | ||||
\(91\) | −2.44108e7 | + | 7.91380e7i | −0.355973 | + | 1.15404i | ||||
\(92\) | −4.40141e7 | + | 7.62347e7i | −0.614386 | + | 1.06415i | ||||
\(93\) | 1.50977e7 | − | 8.71665e6i | 0.201827 | − | 0.116525i | ||||
\(94\) | −3.11000e7 | + | 7.09837e6i | −0.398335 | + | 0.0909174i | ||||
\(95\) | 2.93615e7 | + | 4.42554e6i | 0.360483 | + | 0.0543340i | ||||
\(96\) | 1.65047e7 | + | 1.53141e7i | 0.194322 | + | 0.180305i | ||||
\(97\) | −4.36382e7 | + | 5.47206e7i | −0.492924 | + | 0.618108i | −0.964617 | − | 0.263656i | \(-0.915072\pi\) |
0.471693 | + | 0.881763i | \(0.343643\pi\) | |||||||
\(98\) | −8.47082e6 | − | 1.24244e7i | −0.0918377 | − | 0.134701i | ||||
\(99\) | 1.26273e8 | − | 1.17165e8i | 1.31453 | − | 1.21971i | ||||
\(100\) | 146138. | + | 1.95007e6i | 0.00146138 | + | 0.0195007i | ||||
\(101\) | 4.30187e7 | − | 1.09610e8i | 0.413401 | − | 1.05333i | −0.560861 | − | 0.827910i | \(-0.689530\pi\) |
0.974262 | − | 0.225418i | \(-0.0723748\pi\) | |||||||
\(102\) | 3.93860e6 | − | 1.72561e7i | 0.0363866 | − | 0.159420i | ||||
\(103\) | −2.32447e7 | + | 7.17003e6i | −0.206526 | + | 0.0637048i | −0.396292 | − | 0.918125i | \(-0.629703\pi\) |
0.189766 | + | 0.981829i | \(0.439227\pi\) | |||||||
\(104\) | −6.37597e7 | + | 9.35183e7i | −0.545020 | + | 0.799398i | ||||
\(105\) | 5.22182e6 | + | 3.46445e7i | 0.0429600 | + | 0.285021i | ||||
\(106\) | 5.65467e7 | − | 2.21929e7i | 0.447903 | − | 0.175789i | ||||
\(107\) | 2.21498e8 | − | 1.06668e8i | 1.68980 | − | 0.813763i | 0.694224 | − | 0.719759i | \(-0.255748\pi\) |
0.995572 | − | 0.0940032i | \(-0.0299664\pi\) | |||||||
\(108\) | −2.08913e7 | − | 4.33812e7i | −0.153557 | − | 0.318865i | ||||
\(109\) | 2.93776e7 | + | 7.48529e7i | 0.208118 | + | 0.530277i | 0.996375 | − | 0.0850699i | \(-0.0271114\pi\) |
−0.788257 | + | 0.615346i | \(0.789016\pi\) | |||||||
\(110\) | −1.46208e8 | + | 2.20374e7i | −0.998623 | + | 0.150518i | ||||
\(111\) | 2.45001e7 | + | 1.67039e7i | 0.161390 | + | 0.110034i | ||||
\(112\) | 1.20133e7 | + | 3.89462e7i | 0.0763467 | + | 0.247510i | ||||
\(113\) | 2.04717e7 | + | 4.67254e6i | 0.125557 | + | 0.0286575i | 0.284838 | − | 0.958576i | \(-0.408060\pi\) |
−0.159281 | + | 0.987233i | \(0.550917\pi\) | |||||||
\(114\) | −7.93335e6 | − | 3.11361e6i | −0.0469718 | − | 0.0184351i | ||||
\(115\) | −2.95531e8 | + | 2.21470e7i | −1.68971 | + | 0.126626i | ||||
\(116\) | −1.09184e8 | − | 1.17673e8i | −0.603015 | − | 0.649895i | ||||
\(117\) | 1.52943e8 | − | 1.04275e8i | 0.816182 | − | 0.556463i | ||||
\(118\) | −3.25788e7 | − | 2.59807e7i | −0.168038 | − | 0.134006i | ||||
\(119\) | 1.86681e8 | − | 2.01194e8i | 0.930919 | − | 1.00329i | ||||
\(120\) | −7.13660e6 | + | 4.73482e7i | −0.0344165 | + | 0.228338i | ||||
\(121\) | −1.27916e8 | − | 5.60436e8i | −0.596737 | − | 2.61448i | ||||
\(122\) | −7.75275e7 | − | 1.34282e8i | −0.349958 | − | 0.606145i | ||||
\(123\) | 3.12631e7 | + | 1.80497e7i | 0.136588 | + | 0.0788589i | ||||
\(124\) | 1.47208e8 | + | 4.54078e7i | 0.622653 | + | 0.192063i | ||||
\(125\) | −1.93396e8 | + | 1.54229e8i | −0.792152 | + | 0.631720i | ||||
\(126\) | −1.07337e7 | + | 1.43232e8i | −0.0425861 | + | 0.568272i | ||||
\(127\) | 2.96640e7 | + | 1.42854e7i | 0.114029 | + | 0.0549134i | 0.490029 | − | 0.871706i | \(-0.336986\pi\) |
−0.376000 | + | 0.926620i | \(0.622701\pi\) | |||||||
\(128\) | 2.31434e8i | 0.862160i | ||||||||
\(129\) | −7.07223e7 | − | 3.99410e6i | −0.255386 | − | 0.0144232i | ||||
\(130\) | −1.58890e8 | −0.556320 | ||||||||
\(131\) | −2.17739e8 | + | 4.52139e8i | −0.739351 | + | 1.53528i | 0.101997 | + | 0.994785i | \(0.467477\pi\) |
−0.841348 | + | 0.540493i | \(0.818238\pi\) | |||||||
\(132\) | −1.06272e8 | − | 7.96395e6i | −0.350043 | − | 0.0262321i | ||||
\(133\) | −8.23957e7 | − | 1.03321e8i | −0.263328 | − | 0.330203i | ||||
\(134\) | 2.36567e7 | − | 7.66933e7i | 0.0733729 | − | 0.237869i | ||||
\(135\) | 8.10510e7 | − | 1.40384e8i | 0.244019 | − | 0.422653i | ||||
\(136\) | 3.24849e8 | − | 1.87551e8i | 0.949566 | − | 0.548232i | ||||
\(137\) | 3.75021e8 | − | 8.55960e7i | 1.06457 | − | 0.242980i | 0.345854 | − | 0.938288i | \(-0.387589\pi\) |
0.718712 | + | 0.695308i | \(0.244732\pi\) | |||||||
\(138\) | 8.41104e7 | + | 1.26776e7i | 0.231917 | + | 0.0349559i | ||||
\(139\) | 2.47944e8 | + | 2.30059e8i | 0.664194 | + | 0.616282i | 0.938467 | − | 0.345370i | \(-0.112246\pi\) |
−0.274272 | + | 0.961652i | \(0.588437\pi\) | |||||||
\(140\) | −1.93033e8 | + | 2.42055e8i | −0.502480 | + | 0.630090i | ||||
\(141\) | −4.36036e7 | − | 6.39547e7i | −0.110318 | − | 0.161806i | ||||
\(142\) | 1.28036e7 | − | 1.18800e7i | 0.0314904 | − | 0.0292188i | ||||
\(143\) | −6.33774e7 | − | 8.45712e8i | −0.151562 | − | 2.02245i | ||||
\(144\) | 3.32815e7 | − | 8.47999e7i | 0.0774022 | − | 0.197218i | ||||
\(145\) | 1.20256e8 | − | 5.26877e8i | 0.272042 | − | 1.19189i | ||||
\(146\) | −1.40893e8 | + | 4.34597e7i | −0.310083 | + | 0.0956479i | ||||
\(147\) | 2.05544e7 | − | 3.01477e7i | 0.0440185 | − | 0.0645633i | ||||
\(148\) | 3.90537e7 | + | 2.59104e8i | 0.0813982 | + | 0.540042i | ||||
\(149\) | −5.43788e8 | + | 2.13421e8i | −1.10328 | + | 0.433005i | −0.845919 | − | 0.533311i | \(-0.820947\pi\) |
−0.257359 | + | 0.966316i | \(0.582852\pi\) | |||||||
\(150\) | 1.70248e6 | − | 819871.i | 0.00336292 | − | 0.00161950i | ||||
\(151\) | 3.66038e7 | + | 7.60085e7i | 0.0704073 | + | 0.146202i | 0.933202 | − | 0.359352i | \(-0.117002\pi\) |
−0.862795 | + | 0.505554i | \(0.831288\pi\) | |||||||
\(152\) | −6.59847e7 | − | 1.68126e8i | −0.123614 | − | 0.314964i | ||||
\(153\) | −6.06605e8 | + | 9.14310e7i | −1.10698 | + | 0.166851i | ||||
\(154\) | 5.43719e8 | + | 3.70701e8i | 0.966699 | + | 0.659084i | ||||
\(155\) | 1.52872e8 | + | 4.95598e8i | 0.264850 | + | 0.858623i | ||||
\(156\) | −1.11649e8 | − | 2.54831e7i | −0.188519 | − | 0.0430282i | ||||
\(157\) | −1.31776e8 | − | 5.17181e7i | −0.216889 | − | 0.0851225i | 0.254409 | − | 0.967097i | \(-0.418119\pi\) |
−0.471298 | + | 0.881974i | \(0.656214\pi\) | |||||||
\(158\) | −5.11443e8 | + | 3.83274e7i | −0.820671 | + | 0.0615008i | ||||
\(159\) | 1.00257e8 | + | 1.08051e8i | 0.156865 | + | 0.169060i | ||||
\(160\) | −5.53433e8 | + | 3.77324e8i | −0.844471 | + | 0.575751i | ||||
\(161\) | 1.03122e9 | + | 8.22368e8i | 1.53478 | + | 1.22395i | ||||
\(162\) | 2.02004e8 | − | 2.17709e8i | 0.293292 | − | 0.316094i | ||||
\(163\) | −1.67661e6 | + | 1.11236e7i | −0.00237510 | + | 0.0157578i | −0.989987 | − | 0.141159i | \(-0.954917\pi\) |
0.987612 | + | 0.156916i | \(0.0501553\pi\) | |||||||
\(164\) | 7.09842e7 | + | 3.11002e8i | 0.0981264 | + | 0.429920i | ||||
\(165\) | −1.79391e8 | − | 3.10714e8i | −0.242027 | − | 0.419203i | ||||
\(166\) | −3.61461e8 | − | 2.08689e8i | −0.476024 | − | 0.274832i | ||||
\(167\) | 1.01415e9 | + | 3.12822e8i | 1.30387 | + | 0.402191i | 0.867437 | − | 0.497546i | \(-0.165765\pi\) |
0.436433 | + | 0.899737i | \(0.356242\pi\) | |||||||
\(168\) | 1.66615e8 | − | 1.32871e8i | 0.209159 | − | 0.166799i | ||||
\(169\) | 7.14576e6 | − | 9.53535e7i | 0.00875995 | − | 0.116893i | ||||
\(170\) | 4.74424e8 | + | 2.28471e8i | 0.568030 | + | 0.273549i | ||||
\(171\) | 2.95378e8i | 0.345457i | ||||||||
\(172\) | −3.99202e8 | − | 4.82128e8i | −0.456120 | − | 0.550869i | ||||
\(173\) | 1.34513e9 | 1.50169 | 0.750846 | − | 0.660477i | \(-0.229646\pi\) | ||||
0.750846 | + | 0.660477i | \(0.229646\pi\) | |||||||
\(174\) | −6.73007e7 | + | 1.39751e8i | −0.0734213 | + | 0.152461i | ||||
\(175\) | 2.92190e7 | + | 2.18966e6i | 0.0311540 | + | 0.00233467i | ||||
\(176\) | −2.60224e8 | − | 3.26311e8i | −0.271205 | − | 0.340080i | ||||
\(177\) | 2.98032e7 | − | 9.66195e7i | 0.0303647 | − | 0.0984400i | ||||
\(178\) | 4.06782e8 | − | 7.04567e8i | 0.405211 | − | 0.701846i | ||||
\(179\) | −1.31838e9 | + | 7.61169e8i | −1.28419 | + | 0.741428i | −0.977612 | − | 0.210417i | \(-0.932518\pi\) |
−0.306580 | + | 0.951845i | \(0.599185\pi\) | |||||||
\(180\) | 6.74649e8 | − | 1.53984e8i | 0.642670 | − | 0.146685i | ||||
\(181\) | −3.18901e8 | − | 4.80666e7i | −0.297126 | − | 0.0447846i | −0.00121267 | − | 0.999999i | \(-0.500386\pi\) |
−0.295914 | + | 0.955215i | \(0.595624\pi\) | |||||||
\(182\) | 5.18383e8 | + | 4.80989e8i | 0.472460 | + | 0.438379i | ||||
\(183\) | 2.34582e8 | − | 2.94156e8i | 0.209165 | − | 0.262285i | ||||
\(184\) | 1.01546e9 | + | 1.48940e9i | 0.885912 | + | 1.29939i | ||||
\(185\) | −6.46671e8 | + | 6.00023e8i | −0.552073 | + | 0.512249i | ||||
\(186\) | −1.11242e7 | − | 1.48442e8i | −0.00929433 | − | 0.124024i | ||||
\(187\) | −1.02682e9 | + | 2.61631e9i | −0.839711 | + | 2.13955i | ||||
\(188\) | 1.52204e8 | − | 6.66851e8i | 0.121842 | − | 0.533823i | ||||
\(189\) | −6.89399e8 | + | 2.12651e8i | −0.540285 | + | 0.166656i | ||||
\(190\) | 1.42826e8 | − | 2.09487e8i | 0.109595 | − | 0.160747i | ||||
\(191\) | −1.66593e8 | − | 1.10528e9i | −0.125177 | − | 0.830495i | −0.960005 | − | 0.279984i | \(-0.909671\pi\) |
0.834828 | − | 0.550511i | \(-0.185567\pi\) | |||||||
\(192\) | 1.05607e8 | − | 4.14475e7i | 0.0777116 | − | 0.0304996i | ||||
\(193\) | 5.50192e8 | − | 2.64959e8i | 0.396538 | − | 0.190963i | −0.224978 | − | 0.974364i | \(-0.572231\pi\) |
0.621517 | + | 0.783401i | \(0.286517\pi\) | |||||||
\(194\) | 2.59302e8 | + | 5.38446e8i | 0.183062 | + | 0.380133i | ||||
\(195\) | −1.40856e8 | − | 3.58895e8i | −0.0974175 | − | 0.248216i | ||||
\(196\) | 3.18831e8 | − | 4.80561e7i | 0.216041 | − | 0.0325630i | ||||
\(197\) | −2.47490e8 | − | 1.68736e8i | −0.164321 | − | 0.112032i | 0.478367 | − | 0.878160i | \(-0.341229\pi\) |
−0.642689 | + | 0.766128i | \(0.722181\pi\) | |||||||
\(198\) | −4.33545e8 | − | 1.40552e9i | −0.282080 | − | 0.914482i | ||||
\(199\) | −2.37631e9 | − | 5.42377e8i | −1.51527 | − | 0.345851i | −0.617592 | − | 0.786499i | \(-0.711892\pi\) |
−0.897680 | + | 0.440648i | \(0.854749\pi\) | |||||||
\(200\) | 3.72771e7 | + | 1.46302e7i | 0.0232982 | + | 0.00914387i | ||||
\(201\) | 1.94203e8 | − | 1.45535e7i | 0.118980 | − | 0.00891628i | ||||
\(202\) | −6.83868e8 | − | 7.37035e8i | −0.410740 | − | 0.442672i | ||||
\(203\) | −1.98729e9 | + | 1.35491e9i | −1.17024 | + | 0.797860i | ||||
\(204\) | 2.96724e8 | + | 2.36630e8i | 0.171330 | + | 0.136631i | ||||
\(205\) | −7.30476e8 | + | 7.87266e8i | −0.413610 | + | 0.445765i | ||||
\(206\) | −3.09573e7 | + | 2.05389e8i | −0.0171907 | + | 0.114053i | ||||
\(207\) | −6.56011e8 | − | 2.87417e9i | −0.357297 | − | 1.56542i | ||||
\(208\) | −2.24252e8 | − | 3.88415e8i | −0.119807 | − | 0.207512i | ||||
\(209\) | 1.17199e9 | + | 6.76647e8i | 0.614240 | + | 0.354631i | ||||
\(210\) | 2.85871e8 | + | 8.81797e7i | 0.146992 | + | 0.0453410i | ||||
\(211\) | 1.99604e9 | − | 1.59179e9i | 1.00702 | − | 0.803073i | 0.0265334 | − | 0.999648i | \(-0.491553\pi\) |
0.980489 | + | 0.196574i | \(0.0629817\pi\) | |||||||
\(212\) | −9.73376e7 | + | 1.29888e9i | −0.0481878 | + | 0.643022i | ||||
\(213\) | 3.81844e7 | + | 1.83886e7i | 0.0185510 | + | 0.00893370i | ||||
\(214\) | − | 2.09920e9i | − | 1.00092i | ||||||
\(215\) | 5.84025e8 | − | 2.02479e9i | 0.273324 | − | 0.947603i | ||||
\(216\) | −9.85999e8 | −0.452962 | ||||||||
\(217\) | 1.00151e9 | − | 2.07967e9i | 0.451667 | − | 0.937896i | ||||
\(218\) | 6.84694e8 | + | 5.13107e7i | 0.303159 | + | 0.0227186i | ||||
\(219\) | −2.23066e8 | − | 2.79716e8i | −0.0969745 | − | 0.121602i | ||||
\(220\) | 9.34503e8 | − | 3.02958e9i | 0.398924 | − | 1.29328i | ||||
\(221\) | −1.51013e9 | + | 2.61563e9i | −0.633062 | + | 1.09650i | ||||
\(222\) | 2.19275e8 | − | 1.26598e8i | 0.0902769 | − | 0.0521214i | ||||
\(223\) | 1.14265e9 | − | 2.60803e8i | 0.462055 | − | 0.105461i | 0.0148448 | − | 0.999890i | \(-0.495275\pi\) |
0.447211 | + | 0.894429i | \(0.352417\pi\) | |||||||
\(224\) | 2.94781e9 | + | 4.44311e8i | 1.17087 | + | 0.176480i | ||||
\(225\) | −4.80087e7 | − | 4.45456e7i | −0.0187323 | − | 0.0173810i | ||||
\(226\) | 1.11791e8 | − | 1.40181e8i | 0.0428521 | − | 0.0537349i | ||||
\(227\) | 1.34430e9 | + | 1.97172e9i | 0.506281 | + | 0.742578i | 0.991256 | − | 0.131950i | \(-0.0421238\pi\) |
−0.484975 | + | 0.874528i | \(0.661171\pi\) | |||||||
\(228\) | 1.33958e8 | − | 1.24295e8i | 0.0495712 | − | 0.0459954i | ||||
\(229\) | −1.99450e8 | − | 2.66147e9i | −0.0725256 | − | 0.967787i | −0.908193 | − | 0.418552i | \(-0.862538\pi\) |
0.835667 | − | 0.549236i | \(-0.185081\pi\) | |||||||
\(230\) | −9.24511e8 | + | 2.35561e9i | −0.330370 | + | 0.841769i | ||||
\(231\) | −3.55319e8 | + | 1.55676e9i | −0.124787 | + | 0.546729i | ||||
\(232\) | −3.14115e9 | + | 9.68917e8i | −1.08427 | + | 0.334453i | ||||
\(233\) | −2.10999e9 | + | 3.09478e9i | −0.715906 | + | 1.05004i | 0.280031 | + | 0.959991i | \(0.409655\pi\) |
−0.995937 | + | 0.0900508i | \(0.971297\pi\) | |||||||
\(234\) | −2.35575e8 | − | 1.56294e9i | −0.0785716 | − | 0.521289i | ||||
\(235\) | 2.14360e9 | − | 8.41300e8i | 0.702865 | − | 0.275854i | ||||
\(236\) | 8.05008e8 | − | 3.87671e8i | 0.259509 | − | 0.124973i | ||||
\(237\) | −5.39965e8 | − | 1.12125e9i | −0.171148 | − | 0.355393i | ||||
\(238\) | −8.56197e8 | − | 2.18155e9i | −0.266849 | − | 0.679921i | ||||
\(239\) | 8.30879e7 | − | 1.25235e7i | 0.0254651 | − | 0.00383825i | −0.136297 | − | 0.990668i | \(-0.543520\pi\) |
0.161762 | + | 0.986830i | \(0.448282\pi\) | |||||||
\(240\) | −1.56770e8 | − | 1.06884e8i | −0.0472517 | − | 0.0322157i | ||||
\(241\) | −6.28486e8 | − | 2.03750e9i | −0.186306 | − | 0.603990i | −0.999750 | − | 0.0223468i | \(-0.992886\pi\) |
0.813444 | − | 0.581643i | \(-0.197590\pi\) | |||||||
\(242\) | −4.78543e9 | − | 1.09224e9i | −1.39527 | − | 0.318462i | ||||
\(243\) | 2.27699e9 | + | 8.93653e8i | 0.653034 | + | 0.256297i | ||||
\(244\) | 3.31542e9 | − | 2.48456e8i | 0.935360 | − | 0.0700956i | ||||
\(245\) | 7.38336e8 | + | 7.95737e8i | 0.204923 | + | 0.220854i | ||||
\(246\) | 2.54684e8 | − | 1.73641e8i | 0.0695442 | − | 0.0474144i | ||||
\(247\) | 1.13698e9 | + | 9.06711e8i | 0.305468 | + | 0.243602i | ||||
\(248\) | 2.14572e9 | − | 2.31253e9i | 0.567239 | − | 0.611338i | ||||
\(249\) | 1.50945e8 | − | 1.00146e9i | 0.0392664 | − | 0.260516i | ||||
\(250\) | 4.70003e8 | + | 2.05922e9i | 0.120321 | + | 0.527160i | ||||
\(251\) | 1.34647e9 | + | 2.33215e9i | 0.339236 | + | 0.587574i | 0.984289 | − | 0.176564i | \(-0.0564982\pi\) |
−0.645053 | + | 0.764138i | \(0.723165\pi\) | |||||||
\(252\) | −2.66719e9 | − | 1.53990e9i | −0.661382 | − | 0.381849i | ||||
\(253\) | −1.29068e10 | − | 3.98122e9i | −3.15018 | − | 0.971703i | ||||
\(254\) | 2.19800e8 | − | 1.75285e8i | 0.0528072 | − | 0.0421123i | ||||
\(255\) | −9.54842e7 | + | 1.27415e9i | −0.0225824 | + | 0.301342i | ||||
\(256\) | 3.04338e9 | + | 1.46561e9i | 0.708592 | + | 0.341240i | ||||
\(257\) | 8.12340e9i | 1.86211i | 0.364879 | + | 0.931055i | \(0.381110\pi\) | ||||
−0.364879 | + | 0.931055i | \(0.618890\pi\) | |||||||
\(258\) | −2.92741e8 | + | 5.29280e8i | −0.0660701 | + | 0.119456i | ||||
\(259\) | 3.92615e9 | 0.872505 | ||||||||
\(260\) | 1.47822e9 | − | 3.06956e9i | 0.323479 | − | 0.671712i | ||||
\(261\) | 5.36096e9 | + | 4.01749e8i | 1.15526 | + | 0.0865750i | ||||
\(262\) | 2.67169e9 | + | 3.35020e9i | 0.566998 | + | 0.710993i | ||||
\(263\) | −1.25594e9 | + | 4.07166e9i | −0.262510 | + | 0.851037i | 0.724346 | + | 0.689437i | \(0.242142\pi\) |
−0.986856 | + | 0.161601i | \(0.948334\pi\) | |||||||
\(264\) | −1.09116e9 | + | 1.88994e9i | −0.224632 | + | 0.389074i | ||||
\(265\) | −3.79763e9 | + | 2.19256e9i | −0.770067 | + | 0.444599i | ||||
\(266\) | −1.10013e9 | + | 2.51097e8i | −0.219743 | + | 0.0501550i | ||||
\(267\) | 1.95206e9 | + | 2.94225e8i | 0.384103 | + | 0.0578942i | ||||
\(268\) | 1.26153e9 | + | 1.17053e9i | 0.244544 | + | 0.226904i | ||||
\(269\) | 1.98354e8 | − | 2.48728e8i | 0.0378818 | − | 0.0475023i | −0.762530 | − | 0.646953i | \(-0.776043\pi\) |
0.800412 | + | 0.599451i | \(0.204614\pi\) | |||||||
\(270\) | −7.79720e8 | − | 1.14364e9i | −0.146718 | − | 0.215196i | ||||
\(271\) | −7.13041e8 | + | 6.61606e8i | −0.132202 | + | 0.122665i | −0.743503 | − | 0.668733i | \(-0.766837\pi\) |
0.611301 | + | 0.791398i | \(0.290647\pi\) | |||||||
\(272\) | 1.11076e8 | + | 1.48221e9i | 0.0202929 | + | 0.270791i | ||||
\(273\) | −6.26893e8 | + | 1.59730e9i | −0.112861 | + | 0.287565i | ||||
\(274\) | 7.30884e8 | − | 3.20221e9i | 0.129672 | − | 0.568130i | ||||
\(275\) | −2.86723e8 | + | 8.84424e7i | −0.0501340 | + | 0.0154643i | ||||
\(276\) | −1.02743e9 | + | 1.50696e9i | −0.177058 | + | 0.259696i | ||||
\(277\) | 1.74403e8 | + | 1.15709e9i | 0.0296234 | + | 0.196538i | 0.998747 | − | 0.0500352i | \(-0.0159334\pi\) |
−0.969124 | + | 0.246574i | \(0.920695\pi\) | |||||||
\(278\) | 2.68847e9 | − | 1.05515e9i | 0.450118 | − | 0.176658i | ||||
\(279\) | −4.64833e9 | + | 2.23852e9i | −0.767150 | + | 0.369440i | ||||
\(280\) | 2.75080e9 | + | 5.71210e9i | 0.447535 | + | 0.929317i | ||||
\(281\) | −6.64101e8 | − | 1.69210e9i | −0.106514 | − | 0.271394i | 0.867673 | − | 0.497136i | \(-0.165615\pi\) |
−0.974187 | + | 0.225741i | \(0.927520\pi\) | |||||||
\(282\) | −6.53557e8 | + | 9.85079e7i | −0.103344 | + | 0.0155767i | ||||
\(283\) | 9.18909e9 | + | 6.26502e9i | 1.43261 | + | 0.976734i | 0.997065 | + | 0.0765659i | \(0.0243956\pi\) |
0.435542 | + | 0.900169i | \(0.356557\pi\) | |||||||
\(284\) | 1.10389e8 | + | 3.57874e8i | 0.0169689 | + | 0.0550119i | ||||
\(285\) | 5.99795e8 | + | 1.36899e8i | 0.0909125 | + | 0.0207502i | ||||
\(286\) | −6.74100e9 | − | 2.64565e9i | −1.00753 | − | 0.395428i | ||||
\(287\) | 4.76639e9 | − | 3.57191e8i | 0.702525 | − | 0.0526469i | ||||
\(288\) | −4.53211e9 | − | 4.88445e9i | −0.658765 | − | 0.709979i | ||||
\(289\) | 2.50645e9 | − | 1.70887e9i | 0.359308 | − | 0.244972i | ||||
\(290\) | −3.60782e9 | − | 2.87714e9i | −0.510097 | − | 0.406789i | ||||
\(291\) | −9.86350e8 | + | 1.06303e9i | −0.137550 | + | 0.148243i | ||||
\(292\) | 4.71198e8 | − | 3.12620e9i | 0.0648145 | − | 0.430016i | ||||
\(293\) | 3.19557e8 | + | 1.40007e9i | 0.0433588 | + | 0.189967i | 0.991969 | − | 0.126479i | \(-0.0403675\pi\) |
−0.948611 | + | 0.316446i | \(0.897510\pi\) | |||||||
\(294\) | −1.55781e8 | − | 2.69820e8i | −0.0208509 | − | 0.0361148i | ||||
\(295\) | 2.60506e9 | + | 1.50403e9i | 0.343977 | + | 0.198595i | ||||
\(296\) | 5.12744e9 | + | 1.58161e9i | 0.667934 | + | 0.206030i | ||||
\(297\) | 5.77613e9 | − | 4.60631e9i | 0.742355 | − | 0.592008i | ||||
\(298\) | −3.72760e8 | + | 4.97414e9i | −0.0472677 | + | 0.630743i | ||||
\(299\) | −1.30771e10 | − | 6.29760e9i | −1.63616 | − | 0.787935i | ||||
\(300\) | 4.05174e7i | 0.00500214i | ||||||||
\(301\) | −8.03479e9 | + | 4.83797e9i | −0.978833 | + | 0.589383i | ||||
\(302\) | 7.20356e8 | 0.0866003 | ||||||||
\(303\) | 1.05854e9 | − | 2.19807e9i | 0.125584 | − | 0.260778i | ||||
\(304\) | 7.13680e8 | + | 5.34829e7i | 0.0835621 | + | 0.00626211i | ||||
\(305\) | 6.97879e9 | + | 8.75112e9i | 0.806456 | + | 1.01126i | ||||
\(306\) | −1.54398e9 | + | 5.00545e9i | −0.176098 | + | 0.570896i | ||||
\(307\) | 3.94031e9 | − | 6.82482e9i | 0.443585 | − | 0.768312i | −0.554367 | − | 0.832272i | \(-0.687040\pi\) |
0.997952 | + | 0.0639600i | \(0.0203730\pi\) | |||||||
\(308\) | −1.22199e10 | + | 7.05517e9i | −1.35789 | + | 0.783979i | ||||
\(309\) | −4.91367e8 | + | 1.12151e8i | −0.0538979 | + | 0.0123018i | ||||
\(310\) | 4.37907e9 | + | 6.60039e8i | 0.474171 | + | 0.0714698i | ||||
\(311\) | −2.77170e9 | − | 2.57176e9i | −0.296281 | − | 0.274909i | 0.517998 | − | 0.855382i | \(-0.326677\pi\) |
−0.814280 | + | 0.580473i | \(0.802868\pi\) | |||||||
\(312\) | −1.46216e9 | + | 1.83349e9i | −0.154304 | + | 0.193491i | ||||
\(313\) | −4.63911e9 | − | 6.80432e9i | −0.483345 | − | 0.708937i | 0.504667 | − | 0.863314i | \(-0.331615\pi\) |
−0.988012 | + | 0.154377i | \(0.950663\pi\) | |||||||
\(314\) | −8.86082e8 | + | 8.22164e8i | −0.0911497 | + | 0.0845746i | ||||
\(315\) | −7.74846e8 | − | 1.03396e10i | −0.0786997 | − | 1.05017i | ||||
\(316\) | 4.01773e9 | − | 1.02370e10i | 0.402932 | − | 1.02666i | ||||
\(317\) | −4.95939e7 | + | 2.17285e8i | −0.00491124 | + | 0.0215175i | −0.977324 | − | 0.211749i | \(-0.932084\pi\) |
0.972413 | + | 0.233266i | \(0.0749413\pi\) | |||||||
\(318\) | 1.20269e9 | − | 3.70981e8i | 0.117610 | − | 0.0362780i | ||||
\(319\) | 1.38748e10 | − | 2.03507e10i | 1.33988 | − | 1.96524i | ||||
\(320\) | 5.03032e8 | + | 3.33740e9i | 0.0479728 | + | 0.318279i | ||||
\(321\) | 4.74159e9 | − | 1.86094e9i | 0.446585 | − | 0.175272i | ||||
\(322\) | 1.01471e10 | − | 4.88658e9i | 0.943883 | − | 0.454550i | ||||
\(323\) | −2.09109e9 | − | 4.34219e9i | −0.192115 | − | 0.398932i | ||||
\(324\) | 2.32653e9 | + | 5.92790e9i | 0.211120 | + | 0.537924i | ||||
\(325\) | −3.18837e8 | + | 4.80569e7i | −0.0285782 | + | 0.00430747i | ||||
\(326\) | 7.93641e7 | + | 5.41095e7i | 0.00702673 | + | 0.00479075i | ||||
\(327\) | 4.91081e8 | + | 1.59205e9i | 0.0429499 | + | 0.139240i | ||||
\(328\) | 6.36865e9 | + | 1.45360e9i | 0.550240 | + | 0.125589i | ||||
\(329\) | −9.54029e9 | − | 3.74429e9i | −0.814288 | − | 0.319585i | ||||
\(330\) | −3.05498e9 | + | 2.28939e8i | −0.257604 | + | 0.0193047i | ||||
\(331\) | −9.05178e9 | − | 9.75550e9i | −0.754088 | − | 0.812714i | 0.233070 | − | 0.972460i | \(-0.425123\pi\) |
−0.987158 | + | 0.159746i | \(0.948932\pi\) | |||||||
\(332\) | 7.39443e9 | − | 5.04144e9i | 0.608629 | − | 0.414956i | ||||
\(333\) | −6.86094e9 | − | 5.47142e9i | −0.557965 | − | 0.444962i | ||||
\(334\) | 6.16383e9 | − | 6.64303e9i | 0.495296 | − | 0.533802i | ||||
\(335\) | −8.63511e8 | + | 5.72902e9i | −0.0685628 | + | 0.454885i | ||||
\(336\) | 1.87908e8 | + | 8.23280e8i | 0.0147431 | + | 0.0645937i | ||||
\(337\) | −8.03709e9 | − | 1.39207e10i | −0.623131 | − | 1.07929i | −0.988899 | − | 0.148588i | \(-0.952527\pi\) |
0.365768 | − | 0.930706i | \(-0.380806\pi\) | |||||||
\(338\) | −7.07096e8 | − | 4.08242e8i | −0.0541766 | − | 0.0312789i | ||||
\(339\) | 4.15738e8 | + | 1.28238e8i | 0.0314790 | + | 0.00970998i | ||||
\(340\) | −8.82753e9 | + | 7.03972e9i | −0.660577 | + | 0.526792i | ||||
\(341\) | −1.76643e9 | + | 2.35714e10i | −0.130641 | + | 1.74328i | ||||
\(342\) | 2.27239e9 | + | 1.09433e9i | 0.166103 | + | 0.0799912i | ||||
\(343\) | 1.09836e10i | 0.793537i | ||||||||
\(344\) | −1.24421e10 | + | 3.08153e9i | −0.888507 | + | 0.220055i | ||||
\(345\) | −6.14034e9 | −0.433427 | ||||||||
\(346\) | 4.98349e9 | − | 1.03483e10i | 0.347720 | − | 0.722047i | ||||
\(347\) | 4.03758e9 | + | 3.02575e8i | 0.278486 | + | 0.0208696i | 0.213241 | − | 0.977000i | \(-0.431598\pi\) |
0.0652449 | + | 0.997869i | \(0.479217\pi\) | |||||||
\(348\) | −2.07369e9 | − | 2.60033e9i | −0.141393 | − | 0.177301i | ||||
\(349\) | −2.12568e9 | + | 6.89129e9i | −0.143284 | + | 0.464514i | −0.998559 | − | 0.0536593i | \(-0.982912\pi\) |
0.855276 | + | 0.518173i | \(0.173388\pi\) | |||||||
\(350\) | 1.25097e8 | − | 2.16674e8i | 0.00833632 | − | 0.0144389i | ||||
\(351\) | 6.87546e9 | − | 3.96955e9i | 0.452974 | − | 0.261525i | ||||
\(352\) | −2.97624e10 | + | 6.79306e9i | −1.93864 | + | 0.442481i | ||||
\(353\) | −1.95447e9 | − | 2.94588e8i | −0.125872 | − | 0.0189722i | 0.0858040 | − | 0.996312i | \(-0.472654\pi\) |
−0.211676 | + | 0.977340i | \(0.567892\pi\) | |||||||
\(354\) | −6.32893e8 | − | 5.87239e8i | −0.0403011 | − | 0.0373940i | ||||
\(355\) | −7.86125e8 | + | 9.85769e8i | −0.0494969 | + | 0.0620672i | ||||
\(356\) | 9.82688e9 | + | 1.44134e10i | 0.611808 | + | 0.897358i | ||||
\(357\) | 4.16859e9 | − | 3.86789e9i | 0.256635 | − | 0.238123i | ||||
\(358\) | 9.71408e8 | + | 1.29625e10i | 0.0591384 | + | 0.789147i | ||||
\(359\) | 4.12951e9 | − | 1.05218e10i | 0.248611 | − | 0.633450i | −0.751029 | − | 0.660269i | \(-0.770442\pi\) |
0.999640 | + | 0.0268185i | \(0.00853760\pi\) | |||||||
\(360\) | 3.15327e9 | − | 1.38154e10i | 0.187737 | − | 0.822531i | ||||
\(361\) | 1.40116e10 | − | 4.32199e9i | 0.825007 | − | 0.254481i | ||||
\(362\) | −1.55126e9 | + | 2.27528e9i | −0.0903336 | + | 0.132495i | ||||
\(363\) | −1.77516e9 | − | 1.17774e10i | −0.102238 | − | 0.678302i | ||||
\(364\) | −1.41148e10 | + | 5.53966e9i | −0.804026 | + | 0.315557i | ||||
\(365\) | 9.58960e9 | − | 4.61811e9i | 0.540292 | − | 0.260191i | ||||
\(366\) | −1.39390e9 | − | 2.89447e9i | −0.0776799 | − | 0.161304i | ||||
\(367\) | 1.61818e9 | + | 4.12305e9i | 0.0891994 | + | 0.227276i | 0.968511 | − | 0.248970i | \(-0.0800922\pi\) |
−0.879312 | + | 0.476247i | \(0.841997\pi\) | |||||||
\(368\) | −7.06323e9 | + | 1.06461e9i | −0.385134 | + | 0.0580497i | ||||
\(369\) | −8.82703e9 | − | 6.01816e9i | −0.476112 | − | 0.324608i | ||||
\(370\) | 2.22027e9 | + | 7.19793e9i | 0.118467 | + | 0.384061i | ||||
\(371\) | 1.90271e10 | + | 4.34281e9i | 1.00433 | + | 0.229232i | ||||
\(372\) | 2.97121e9 | + | 1.16612e9i | 0.155154 | + | 0.0608933i | ||||
\(373\) | −8.80252e9 | + | 6.59658e8i | −0.454749 | + | 0.0340787i | −0.300136 | − | 0.953896i | \(-0.597032\pi\) |
−0.154613 | + | 0.987975i | \(0.549413\pi\) | |||||||
\(374\) | 1.63235e10 | + | 1.75925e10i | 0.834306 | + | 0.899169i | ||||
\(375\) | −4.23462e9 | + | 2.88712e9i | −0.214136 | + | 0.145996i | ||||
\(376\) | −1.09510e10 | − | 8.73313e9i | −0.547901 | − | 0.436937i | ||||
\(377\) | 1.80028e10 | − | 1.94024e10i | 0.891198 | − | 0.960482i | ||||
\(378\) | −9.18144e8 | + | 6.09149e9i | −0.0449722 | + | 0.298371i | ||||
\(379\) | 6.94973e9 | + | 3.04488e10i | 0.336830 | + | 1.47575i | 0.805616 | + | 0.592438i | \(0.201835\pi\) |
−0.468785 | + | 0.883312i | \(0.655308\pi\) | |||||||
\(380\) | 2.71826e9 | + | 4.70816e9i | 0.130363 | + | 0.225796i | ||||
\(381\) | 5.90778e8 | + | 3.41086e8i | 0.0280366 | + | 0.0161869i | ||||
\(382\) | −9.12026e9 | − | 2.81323e9i | −0.428306 | − | 0.132115i | ||||
\(383\) | 1.48762e10 | − | 1.18634e10i | 0.691348 | − | 0.551332i | −0.213565 | − | 0.976929i | \(-0.568507\pi\) |
0.904913 | + | 0.425597i | \(0.139936\pi\) | |||||||
\(384\) | −3.58342e8 | + | 4.78174e9i | −0.0164806 | + | 0.219918i | ||||
\(385\) | −4.28000e10 | − | 2.06114e10i | −1.94805 | − | 0.938133i | ||||
\(386\) | − | 5.21434e9i | − | 0.234882i | ||||||
\(387\) | 2.07829e10 | + | 2.74280e9i | 0.926536 | + | 0.122279i | ||||
\(388\) | −1.28145e10 | −0.565424 | ||||||||
\(389\) | −9.62035e9 | + | 1.99769e10i | −0.420138 | + | 0.872426i | 0.578260 | + | 0.815852i | \(0.303732\pi\) |
−0.998398 | + | 0.0565737i | \(0.981982\pi\) | |||||||
\(390\) | −3.28288e9 | − | 2.46018e8i | −0.141905 | − | 0.0106343i | ||||
\(391\) | 2.99910e10 | + | 3.76075e10i | 1.28317 | + | 1.60904i | ||||
\(392\) | 1.94619e9 | − | 6.30938e9i | 0.0824215 | − | 0.267204i | ||||
\(393\) | −5.19884e9 | + | 9.00466e9i | −0.217940 | + | 0.377483i | ||||
\(394\) | −2.21502e9 | + | 1.27884e9i | −0.0919164 | + | 0.0530680i | ||||
\(395\) | 3.60953e10 | − | 8.23852e9i | 1.48273 | − | 0.338424i | ||||
\(396\) | 3.11862e10 | + | 4.70057e9i | 1.26818 | + | 0.191148i | ||||
\(397\) | 1.19855e10 | + | 1.11210e10i | 0.482498 | + | 0.447693i | 0.883532 | − | 0.468370i | \(-0.155159\pi\) |
−0.401034 | + | 0.916063i | \(0.631349\pi\) | |||||||
\(398\) | −1.29764e10 | + | 1.62719e10i | −0.517157 | + | 0.648494i | ||||
\(399\) | −1.54243e9 | − | 2.26232e9i | −0.0608573 | − | 0.0892612i | ||||
\(400\) | −1.16322e8 | + | 1.07931e8i | −0.00454382 | + | 0.00421605i | ||||
\(401\) | −1.59387e9 | − | 2.12687e10i | −0.0616418 | − | 0.822552i | −0.939263 | − | 0.343198i | \(-0.888490\pi\) |
0.877621 | − | 0.479355i | \(-0.159129\pi\) | |||||||
\(402\) | 6.07527e8 | − | 1.54795e9i | 0.0232628 | − | 0.0592726i | ||||
\(403\) | −5.65222e9 | + | 2.47640e10i | −0.214289 | + | 0.938860i | ||||
\(404\) | 2.06009e10 | − | 6.35453e9i | 0.773322 | − | 0.238538i | ||||
\(405\) | −1.20771e10 | + | 1.77138e10i | −0.448892 | + | 0.658403i | ||||
\(406\) | 3.06097e9 | + | 2.03082e10i | 0.112656 | + | 0.747426i | ||||
\(407\) | −3.74262e10 | + | 1.46887e10i | −1.36395 | + | 0.535310i | ||||
\(408\) | 7.00219e9 | − | 3.37208e9i | 0.252693 | − | 0.121691i | ||||
\(409\) | −1.85691e10 | − | 3.85592e10i | −0.663588 | − | 1.37796i | −0.912358 | − | 0.409393i | \(-0.865741\pi\) |
0.248770 | − | 0.968563i | \(-0.419974\pi\) | |||||||
\(410\) | 3.35027e9 | + | 8.53636e9i | 0.118562 | + | 0.302091i | ||||
\(411\) | 7.88095e9 | − | 1.18786e9i | 0.276192 | − | 0.0416293i | ||||
\(412\) | −3.67984e9 | − | 2.50887e9i | −0.127714 | − | 0.0870742i | ||||
\(413\) | −3.94609e9 | − | 1.27929e10i | −0.135633 | − | 0.439712i | ||||
\(414\) | −2.45419e10 | − | 5.60152e9i | −0.835423 | − | 0.190680i | ||||
\(415\) | 2.80470e10 | + | 1.10076e10i | 0.945570 | + | 0.371109i | ||||
\(416\) | −3.27134e10 | + | 2.45153e9i | −1.09233 | + | 0.0818586i | ||||
\(417\) | 4.76665e9 | + | 5.13722e9i | 0.157641 | + | 0.169896i | ||||
\(418\) | 9.54757e9 | − | 6.50942e9i | 0.312743 | − | 0.213225i | ||||
\(419\) | −4.28676e9 | − | 3.41858e9i | −0.139083 | − | 0.110915i | 0.551477 | − | 0.834190i | \(-0.314064\pi\) |
−0.690560 | + | 0.723275i | \(0.742636\pi\) | |||||||
\(420\) | −4.36310e9 | + | 4.70230e9i | −0.140216 | + | 0.151117i | ||||
\(421\) | −4.64277e8 | + | 3.08027e9i | −0.0147791 | + | 0.0980530i | −0.995004 | − | 0.0998324i | \(-0.968169\pi\) |
0.980225 | + | 0.197885i | \(0.0634074\pi\) | |||||||
\(422\) | −4.85089e9 | − | 2.12531e10i | −0.152958 | − | 0.670152i | ||||
\(423\) | 1.14537e10 | + | 1.98383e10i | 0.357753 | + | 0.619646i | ||||
\(424\) | 2.30994e10 | + | 1.33364e10i | 0.714721 | + | 0.412645i | ||||
\(425\) | 1.02110e9 | + | 3.14969e8i | 0.0312978 | + | 0.00965410i | ||||
\(426\) | 2.82933e8 | − | 2.25632e8i | 0.00859104 | − | 0.00685113i | ||||
\(427\) | 3.72276e9 | − | 4.96767e10i | 0.111983 | − | 1.49431i | ||||
\(428\) | 4.05539e10 | + | 1.95297e10i | 1.20853 | + | 0.581998i | ||||
\(429\) | − | 1.75717e10i | − | 0.518780i | ||||||
\(430\) | −1.34133e10 | − | 1.19945e10i | −0.392340 | − | 0.350840i | ||||
\(431\) | 1.75281e9 | 0.0507956 | 0.0253978 | − | 0.999677i | \(-0.491915\pi\) | ||||
0.0253978 | + | 0.999677i | \(0.491915\pi\) | |||||||
\(432\) | 1.69521e9 | − | 3.52015e9i | 0.0486732 | − | 0.101071i | ||||
\(433\) | −5.46106e10 | − | 4.09250e9i | −1.55355 | − | 0.116423i | −0.729914 | − | 0.683539i | \(-0.760440\pi\) |
−0.823638 | + | 0.567116i | \(0.808059\pi\) | |||||||
\(434\) | −1.22888e10 | − | 1.54096e10i | −0.346377 | − | 0.434343i | ||||
\(435\) | 3.30044e9 | − | 1.06998e10i | 0.0921755 | − | 0.298826i | ||||
\(436\) | −7.36124e9 | + | 1.27500e10i | −0.203707 | + | 0.352830i | ||||
\(437\) | 2.00579e10 | − | 1.15805e10i | 0.549997 | − | 0.317541i | ||||
\(438\) | −2.97832e9 | + | 6.79783e8i | −0.0809237 | + | 0.0184703i | ||||
\(439\) | 3.68699e10 | + | 5.55724e9i | 0.992690 | + | 0.149624i | 0.625251 | − | 0.780424i | \(-0.284997\pi\) |
0.367439 | + | 0.930048i | \(0.380235\pi\) | |||||||
\(440\) | −4.75925e10 | − | 4.41594e10i | −1.26978 | − | 1.17818i | ||||
\(441\) | −6.73265e9 | + | 8.44248e9i | −0.178005 | + | 0.223211i | ||||
\(442\) | 1.45276e10 | + | 2.13081e10i | 0.380633 | + | 0.558286i | ||||
\(443\) | 3.78823e10 | − | 3.51496e10i | 0.983607 | − | 0.912654i | −0.0125781 | − | 0.999921i | \(-0.504004\pi\) |
0.996185 | + | 0.0872671i | \(0.0278134\pi\) | |||||||
\(444\) | 4.05716e8 | + | 5.41390e9i | 0.0104397 | + | 0.139309i | ||||
\(445\) | −2.14563e10 | + | 5.46698e10i | −0.547161 | + | 1.39414i | ||||
\(446\) | 2.22693e9 | − | 9.75682e9i | 0.0562817 | − | 0.246586i | ||||
\(447\) | −1.15658e10 | + | 3.56759e9i | −0.289699 | + | 0.0893603i | ||||
\(448\) | 8.46174e9 | − | 1.24111e10i | 0.210062 | − | 0.308104i | ||||
\(449\) | 3.19888e9 | + | 2.12232e10i | 0.0787068 | + | 0.522185i | 0.993092 | + | 0.117340i | \(0.0374367\pi\) |
−0.914385 | + | 0.404846i | \(0.867325\pi\) | |||||||
\(450\) | −5.20560e8 | + | 2.04305e8i | −0.0126947 | + | 0.00498229i | ||||
\(451\) | −4.40994e10 | + | 2.12371e10i | −1.06592 | + | 0.513322i | ||||
\(452\) | 1.66809e9 | + | 3.46382e9i | 0.0399636 | + | 0.0829854i | ||||
\(453\) | 6.38594e8 | + | 1.62711e9i | 0.0151646 | + | 0.0386389i | ||||
\(454\) | 2.01492e10 | − | 3.03700e9i | 0.474278 | − | 0.0714860i | ||||
\(455\) | −4.21781e10 | − | 2.87565e10i | −0.984104 | − | 0.670951i | ||||
\(456\) | −1.10301e9 | − | 3.57588e9i | −0.0255106 | − | 0.0827034i | ||||
\(457\) | 6.45432e10 | + | 1.47316e10i | 1.47974 | + | 0.337741i | 0.884778 | − | 0.466013i | \(-0.154310\pi\) |
0.594962 | + | 0.803754i | \(0.297167\pi\) | |||||||
\(458\) | −2.12140e10 | − | 8.32590e9i | −0.482127 | − | 0.189221i | ||||
\(459\) | −2.62370e10 | + | 1.96619e9i | −0.591104 | + | 0.0442971i | ||||
\(460\) | −3.69064e10 | − | 3.97756e10i | −0.824271 | − | 0.888353i | ||||
\(461\) | −7.35783e10 | + | 5.01649e10i | −1.62909 | + | 1.11070i | −0.720118 | + | 0.693852i | \(0.755912\pi\) |
−0.908977 | + | 0.416846i | \(0.863135\pi\) | |||||||
\(462\) | 1.06600e10 | + | 8.50104e9i | 0.233985 | + | 0.186597i | ||||
\(463\) | −1.87065e10 | + | 2.01608e10i | −0.407070 | + | 0.438717i | −0.902997 | − | 0.429647i | \(-0.858638\pi\) |
0.495927 | + | 0.868364i | \(0.334828\pi\) | |||||||
\(464\) | 1.94138e9 | − | 1.28802e10i | 0.0418830 | − | 0.277875i | ||||
\(465\) | 2.39117e9 | + | 1.04764e10i | 0.0511444 | + | 0.224078i | ||||
\(466\) | 1.59915e10 | + | 2.76981e10i | 0.339114 | + | 0.587363i | ||||
\(467\) | −1.71949e10 | − | 9.92747e9i | −0.361520 | − | 0.208723i | 0.308228 | − | 0.951313i | \(-0.400264\pi\) |
−0.669747 | + | 0.742589i | \(0.733598\pi\) | |||||||
\(468\) | 3.23856e10 | + | 9.98964e9i | 0.675101 | + | 0.208241i | ||||
\(469\) | 2.01600e10 | − | 1.60770e10i | 0.416676 | − | 0.332288i | ||||
\(470\) | 1.46941e9 | − | 1.96079e10i | 0.0301128 | − | 0.401828i | ||||
\(471\) | −2.64258e9 | − | 1.27260e9i | −0.0536963 | − | 0.0258588i | ||||
\(472\) | − | 1.82968e10i | − | 0.368644i | ||||||
\(473\) | 5.84919e10 | − | 7.61782e10i | 1.16856 | − | 1.52190i | ||||
\(474\) | −1.06264e10 | −0.210511 | ||||||||
\(475\) | 2.23241e8 | − | 4.63564e8i | 0.00438530 | − | 0.00910617i | ||||
\(476\) | 5.01104e10 | + | 3.75526e9i | 0.976113 | + | 0.0731496i | ||||
\(477\) | −2.71977e10 | − | 3.41049e10i | −0.525363 | − | 0.658784i | ||||
\(478\) | 2.11481e8 | − | 6.85606e8i | 0.00405098 | − | 0.0131330i | ||||
\(479\) | 4.60247e10 | − | 7.97171e10i | 0.874276 | − | 1.51429i | 0.0167444 | − | 0.999860i | \(-0.494670\pi\) |
0.857532 | − | 0.514431i | \(-0.171997\pi\) | |||||||
\(480\) | −1.20189e10 | + | 6.93910e9i | −0.226412 | + | 0.130719i | ||||
\(481\) | −4.21216e10 | + | 9.61397e9i | −0.786908 | + | 0.179607i | ||||
\(482\) | −1.80032e10 | − | 2.71355e9i | −0.333551 | − | 0.0502748i | ||||
\(483\) | 2.00330e10 | + | 1.85879e10i | 0.368093 | + | 0.341540i | ||||
\(484\) | 6.56216e10 | − | 8.22868e10i | 1.19582 | − | 1.49951i | ||||
\(485\) | −2.43026e10 | − | 3.56454e10i | −0.439224 | − | 0.644223i | ||||
\(486\) | 1.53109e10 | − | 1.42064e10i | 0.274445 | − | 0.254647i | ||||
\(487\) | −3.53790e9 | − | 4.72100e10i | −0.0628969 | − | 0.839301i | −0.936053 | − | 0.351860i | \(-0.885549\pi\) |
0.873156 | − | 0.487441i | \(-0.162070\pi\) | |||||||
\(488\) | 2.48735e10 | − | 6.33767e10i | 0.438589 | − | 1.11751i | ||||
\(489\) | −5.18643e7 | + | 2.27232e8i | −0.000907053 | + | 0.00397406i | ||||
\(490\) | 8.85714e9 | − | 2.73207e9i | 0.153642 | − | 0.0473922i | ||||
\(491\) | −3.36338e10 | + | 4.93317e10i | −0.578695 | + | 0.848790i | −0.998262 | − | 0.0589346i | \(-0.981230\pi\) |
0.419567 | + | 0.907725i | \(0.362182\pi\) | |||||||
\(492\) | 9.85086e8 | + | 6.53562e9i | 0.0168118 | + | 0.111539i | ||||
\(493\) | −8.16526e10 | + | 3.20463e10i | −1.38224 | + | 0.542488i | ||||
\(494\) | 1.11878e10 | − | 5.38776e9i | 0.187861 | − | 0.0904691i | ||||
\(495\) | 4.60692e10 | + | 9.56637e10i | 0.767344 | + | 1.59341i | ||||
\(496\) | 4.56696e9 | + | 1.16364e10i | 0.0754571 | + | 0.192262i | ||||
\(497\) | 5.54884e9 | − | 8.36354e8i | 0.0909446 | − | 0.0137077i | ||||
\(498\) | −7.14513e9 | − | 4.87147e9i | −0.116170 | − | 0.0792031i | ||||
\(499\) | −1.06132e9 | − | 3.44071e9i | −0.0171176 | − | 0.0554940i | 0.946611 | − | 0.322378i | \(-0.104482\pi\) |
−0.963729 | + | 0.266884i | \(0.914006\pi\) | |||||||
\(500\) | −4.41541e10 | − | 1.00779e10i | −0.706466 | − | 0.161246i | ||||
\(501\) | 2.04692e10 | + | 8.03358e9i | 0.324900 | + | 0.127514i | ||||
\(502\) | 2.29301e10 | − | 1.71837e9i | 0.361069 | − | 0.0270584i | ||||
\(503\) | 2.10033e10 | + | 2.26362e10i | 0.328107 | + | 0.353615i | 0.875463 | − | 0.483284i | \(-0.160556\pi\) |
−0.547357 | + | 0.836899i | \(0.684366\pi\) | |||||||
\(504\) | −5.21091e10 | + | 3.55274e10i | −0.807591 | + | 0.550606i | ||||
\(505\) | 5.67455e10 | + | 4.52530e10i | 0.872501 | + | 0.695796i | ||||
\(506\) | −7.84456e10 | + | 8.45442e10i | −1.19665 | + | 1.28968i | ||||
\(507\) | 2.95282e8 | − | 1.95906e9i | 0.00446894 | − | 0.0296495i | ||||
\(508\) | 1.34139e9 | + | 5.87700e9i | 0.0201419 | + | 0.0882472i | ||||
\(509\) | −8.31405e9 | − | 1.44004e10i | −0.123863 | − | 0.214537i | 0.797425 | − | 0.603418i | \(-0.206195\pi\) |
−0.921288 | + | 0.388881i | \(0.872862\pi\) | |||||||
\(510\) | 9.44847e9 | + | 5.45508e9i | 0.139663 | + | 0.0806344i | ||||
\(511\) | −4.52661e10 | − | 1.39627e10i | −0.663879 | − | 0.204780i | ||||
\(512\) | −2.37709e10 | + | 1.89567e10i | −0.345912 | + | 0.275856i | ||||
\(513\) | −9.46718e8 | + | 1.26331e10i | −0.0136695 | + | 0.182406i | ||||
\(514\) | 6.24946e10 | + | 3.00958e10i | 0.895344 | + | 0.431175i | ||||
\(515\) | − | 1.49941e10i | − | 0.213152i | ||||||
\(516\) | −7.50153e9 | − | 1.05795e10i | −0.105816 | − | 0.149234i | ||||
\(517\) | 1.04951e11 | 1.46901 | ||||||||
\(518\) | 1.45457e10 | − | 3.02045e10i | 0.202030 | − | 0.419520i | ||||
\(519\) | 2.77922e10 | + | 2.08274e9i | 0.383049 | + | 0.0287055i | ||||
\(520\) | −4.34991e10 | − | 5.45461e10i | −0.594931 | − | 0.746020i | ||||
\(521\) | −6.10882e9 | + | 1.98043e10i | −0.0829099 | + | 0.268787i | −0.987530 | − | 0.157432i | \(-0.949679\pi\) |
0.904620 | + | 0.426219i | \(0.140155\pi\) | |||||||
\(522\) | 2.29522e10 | − | 3.97543e10i | 0.309130 | − | 0.535430i | ||||
\(523\) | 6.47385e10 | − | 3.73768e10i | 0.865278 | − | 0.499568i | −0.000498249 | − | 1.00000i | \(-0.500159\pi\) |
0.865776 | + | 0.500431i | \(0.166825\pi\) | |||||||
\(524\) | −8.95774e10 | + | 2.04455e10i | −1.18816 | + | 0.271189i | ||||
\(525\) | 6.00313e8 | + | 9.04826e7i | 0.00790206 | + | 0.00119104i | ||||
\(526\) | 2.66709e10 | + | 2.47470e10i | 0.348413 | + | 0.323280i | ||||
\(527\) | 5.24852e10 | − | 6.58144e10i | 0.680448 | − | 0.853254i | ||||
\(528\) | −4.87133e9 | − | 7.14493e9i | −0.0626776 | − | 0.0919311i | ||||
\(529\) | −1.12048e11 | + | 1.03965e11i | −1.43081 | + | 1.32760i | ||||
\(530\) | 2.79816e9 | + | 3.73388e10i | 0.0354624 | + | 0.473213i | ||||
\(531\) | −1.09322e10 | + | 2.78548e10i | −0.137508 | + | 0.350366i | ||||
\(532\) | 5.38405e9 | − | 2.35891e10i | 0.0672145 | − | 0.294486i | ||||
\(533\) | −5.02613e10 | + | 1.55036e10i | −0.622766 | + | 0.192098i | ||||
\(534\) | 9.49556e9 | − | 1.39274e10i | 0.116777 | − | 0.171280i | ||||
\(535\) | 2.25855e10 | + | 1.49845e11i | 0.275685 | + | 1.82905i | ||||
\(536\) | 3.28048e10 | − | 1.28749e10i | 0.397446 | − | 0.155986i | ||||
\(537\) | −2.84181e10 | + | 1.36854e10i | −0.341742 | + | 0.164574i | ||||
\(538\) | −1.17863e9 | − | 2.44746e9i | −0.0140686 | − | 0.0292137i | ||||
\(539\) | 1.80746e10 | + | 4.60534e10i | 0.214148 | + | 0.545640i | ||||
\(540\) | 2.93477e10 | − | 4.42345e9i | 0.345143 | − | 0.0520219i | ||||
\(541\) | 3.81035e10 | + | 2.59785e10i | 0.444812 | + | 0.303267i | 0.764934 | − | 0.644109i | \(-0.222772\pi\) |
−0.320122 | + | 0.947376i | \(0.603724\pi\) | |||||||
\(542\) | 2.44814e9 | + | 7.93667e9i | 0.0283687 | + | 0.0919690i | ||||
\(543\) | −6.51448e9 | − | 1.48689e9i | −0.0749343 | − | 0.0171033i | ||||
\(544\) | 1.01203e11 | + | 3.97192e10i | 1.15557 | + | 0.453528i | ||||
\(545\) | −4.94267e10 | + | 3.70402e9i | −0.560242 | + | 0.0419843i | ||||
\(546\) | 9.96573e9 | + | 1.07405e10i | 0.112134 | + | 0.120852i | ||||
\(547\) | 1.66728e10 | − | 1.13673e10i | 0.186234 | − | 0.126972i | −0.466614 | − | 0.884461i | \(-0.654526\pi\) |
0.652848 | + | 0.757489i | \(0.273574\pi\) | |||||||
\(548\) | 5.50629e10 | + | 4.39112e10i | 0.610572 | + | 0.486915i | ||||
\(549\) | −7.57341e10 | + | 8.16220e10i | −0.833686 | + | 0.898500i | ||||
\(550\) | −3.81859e8 | + | 2.53347e9i | −0.00417304 | + | 0.0276863i | ||||
\(551\) | 9.39820e9 | + | 4.11762e10i | 0.101962 | + | 0.446725i | ||||
\(552\) | 1.86746e10 | + | 3.23453e10i | 0.201138 | + | 0.348381i | ||||
\(553\) | −1.42701e11 | − | 8.23885e10i | −1.52590 | − | 0.880980i | ||||
\(554\) | 9.54780e9 | + | 2.94511e9i | 0.101359 | + | 0.0312652i | ||||
\(555\) | −1.42901e10 | + | 1.13960e10i | −0.150614 | + | 0.120110i | ||||
\(556\) | −4.62785e9 | + | 6.17543e10i | −0.0484261 | + | 0.646202i | ||||
\(557\) | −1.16232e11 | − | 5.59742e10i | −1.20755 | − | 0.581523i | −0.281728 | − | 0.959494i | \(-0.590908\pi\) |
−0.925817 | + | 0.377971i | \(0.876622\pi\) | |||||||
\(558\) | 4.40537e10i | 0.454407i | ||||||||
\(559\) | 7.43542e10 | − | 7.15788e10i | 0.761479 | − | 0.733056i | ||||
\(560\) | −2.51224e10 | −0.255452 | ||||||||
\(561\) | −2.52665e10 | + | 5.24665e10i | −0.255090 | + | 0.529700i | ||||
\(562\) | −1.54780e10 | − | 1.15991e9i | −0.155156 | − | 0.0116273i | ||||
\(563\) | 2.05723e10 | + | 2.57969e10i | 0.204762 | + | 0.256764i | 0.873600 | − | 0.486645i | \(-0.161779\pi\) |
−0.668838 | + | 0.743408i | \(0.733208\pi\) | |||||||
\(564\) | 4.17726e9 | − | 1.35423e10i | 0.0412834 | − | 0.133837i | ||||
\(565\) | −6.47160e9 | + | 1.12091e10i | −0.0635065 | + | 0.109996i | ||||
\(566\) | 8.22418e10 | − | 4.74823e10i | 0.801358 | − | 0.462664i | ||||
\(567\) | 9.30245e10 | − | 2.12322e10i | 0.900046 | − | 0.205430i | ||||
\(568\) | 7.58354e9 | + | 1.14304e9i | 0.0728583 | + | 0.0109816i | ||||
\(569\) | 5.12248e10 | + | 4.75297e10i | 0.488687 | + | 0.453436i | 0.885619 | − | 0.464413i | \(-0.153735\pi\) |
−0.396932 | + | 0.917848i | \(0.629925\pi\) | |||||||
\(570\) | 3.27533e9 | − | 4.10713e9i | 0.0310281 | − | 0.0389080i | ||||
\(571\) | −5.31887e10 | − | 7.80135e10i | −0.500351 | − | 0.733881i | 0.490112 | − | 0.871660i | \(-0.336956\pi\) |
−0.990463 | + | 0.137779i | \(0.956004\pi\) | |||||||
\(572\) | 1.13825e11 | − | 1.05614e11i | 1.06329 | − | 0.986591i | ||||
\(573\) | −1.73069e9 | − | 2.30944e10i | −0.0160546 | − | 0.214234i | ||||
\(574\) | 1.49107e10 | − | 3.79919e10i | 0.137357 | − | 0.349980i | ||||
\(575\) | −1.14270e9 | + | 5.00651e9i | −0.0104535 | + | 0.0457998i | ||||
\(576\) | −3.20828e10 | + | 9.89622e9i | −0.291462 | + | 0.0899041i | ||||
\(577\) | −2.66433e10 | + | 3.90786e10i | −0.240373 | + | 0.352562i | −0.927401 | − | 0.374069i | \(-0.877962\pi\) |
0.687028 | + | 0.726631i | \(0.258915\pi\) | |||||||
\(578\) | −3.86062e9 | − | 2.56136e10i | −0.0345896 | − | 0.229487i | ||||
\(579\) | 1.17779e10 | − | 4.62250e9i | 0.104798 | − | 0.0411304i | ||||
\(580\) | 8.91478e10 | − | 4.29313e10i | 0.787768 | − | 0.379369i | ||||
\(581\) | −5.81818e10 | − | 1.20816e11i | −0.510602 | − | 1.06028i | ||||
\(582\) | 4.52382e9 | + | 1.15265e10i | 0.0394288 | + | 0.100463i | ||||
\(583\) | −1.97624e11 | + | 2.97870e10i | −1.71067 | + | 0.257841i | ||||
\(584\) | −5.34914e10 | − | 3.64698e10i | −0.459868 | − | 0.313532i | ||||
\(585\) | 3.36315e10 | + | 1.09031e11i | 0.287159 | + | 0.930947i | ||||
\(586\) | 1.19549e10 | + | 2.72862e9i | 0.101380 | + | 0.0231394i | ||||
\(587\) | −1.39786e11 | − | 5.48621e10i | −1.17737 | − | 0.462083i | −0.305675 | − | 0.952136i | \(-0.598882\pi\) |
−0.871693 | + | 0.490053i | \(0.836977\pi\) | |||||||
\(588\) | 6.66188e9 | − | 4.99239e8i | 0.0557298 | − | 0.00417637i | ||||
\(589\) | −2.75690e10 | − | 2.97123e10i | −0.229066 | − | 0.246874i | ||||
\(590\) | 2.12220e10 | − | 1.44689e10i | 0.175138 | − | 0.119407i | ||||
\(591\) | −4.85221e9 | − | 3.86951e9i | −0.0397731 | − | 0.0317180i | ||||
\(592\) | −1.44621e10 | + | 1.55864e10i | −0.117745 | + | 0.126899i | ||||
\(593\) | 1.67424e9 | − | 1.11079e10i | 0.0135394 | − | 0.0898280i | −0.981041 | − | 0.193802i | \(-0.937918\pi\) |
0.994580 | + | 0.103974i | \(0.0331560\pi\) | |||||||
\(594\) | −1.40375e10 | − | 6.15023e10i | −0.112757 | − | 0.494021i | ||||
\(595\) | 8.45883e10 | + | 1.46511e11i | 0.674905 | + | 1.16897i | ||||
\(596\) | −9.26261e10 | − | 5.34777e10i | −0.734088 | − | 0.423826i | ||||
\(597\) | −4.82579e10 | − | 1.48856e10i | −0.379901 | − | 0.117184i | ||||
\(598\) | −9.68969e10 | + | 7.72727e10i | −0.757713 | + | 0.604256i | ||||
\(599\) | 8.72049e9 | − | 1.16367e11i | 0.0677382 | − | 0.903903i | −0.855038 | − | 0.518566i | \(-0.826466\pi\) |
0.922776 | − | 0.385337i | \(-0.125915\pi\) | |||||||
\(600\) | 7.47541e8 | + | 3.59997e8i | 0.00576807 | + | 0.00277775i | ||||
\(601\) | − | 1.85439e11i | − | 1.42136i | −0.703517 | − | 0.710678i | \(-0.748388\pi\) | ||
0.703517 | − | 0.710678i | \(-0.251612\pi\) | |||||||
\(602\) | 7.45175e9 | + | 7.97368e10i | 0.0567378 | + | 0.607117i | ||||
\(603\) | −5.76342e10 | −0.435924 | ||||||||
\(604\) | −6.70177e9 | + | 1.39164e10i | −0.0503549 | + | 0.104563i | ||||
\(605\) | 3.53344e11 | + | 2.64795e10i | 2.63740 | + | 0.197646i | ||||
\(606\) | −1.29884e10 | − | 1.62870e10i | −0.0963088 | − | 0.120767i | ||||
\(607\) | 1.40772e10 | − | 4.56371e10i | 0.103696 | − | 0.336173i | −0.888825 | − | 0.458246i | \(-0.848478\pi\) |
0.992521 | + | 0.122073i | \(0.0389541\pi\) | |||||||
\(608\) | 2.61738e10 | − | 4.53343e10i | 0.191537 | − | 0.331751i | ||||
\(609\) | −4.31579e10 | + | 2.49172e10i | −0.313755 | + | 0.181147i | ||||
\(610\) | 9.31790e10 | − | 2.12675e10i | 0.672975 | − | 0.153602i | ||||
\(611\) | 1.11521e11 | + | 1.68091e10i | 0.800189 | + | 0.120609i | ||||
\(612\) | −8.23346e10 | − | 7.63954e10i | −0.586917 | − | 0.544579i | ||||
\(613\) | −4.73673e9 | + | 5.93968e9i | −0.0335457 | + | 0.0420650i | −0.798321 | − | 0.602232i | \(-0.794278\pi\) |
0.764776 | + | 0.644297i | \(0.222850\pi\) | |||||||
\(614\) | −3.79062e10 | − | 5.55982e10i | −0.266709 | − | 0.391190i | ||||
\(615\) | −1.63116e10 | + | 1.51349e10i | −0.114024 | + | 0.105799i | ||||
\(616\) | 2.15932e10 | + | 2.88141e11i | 0.149967 | + | 2.00116i | ||||
\(617\) | 3.57639e10 | − | 9.11250e10i | 0.246777 | − | 0.628777i | −0.752788 | − | 0.658263i | \(-0.771292\pi\) |
0.999565 | + | 0.0294854i | \(0.00938686\pi\) | |||||||
\(618\) | −9.57633e8 | + | 4.19566e9i | −0.00656516 | + | 0.0287638i | ||||
\(619\) | 7.40100e10 | − | 2.28291e10i | 0.504113 | − | 0.155498i | −0.0322598 | − | 0.999480i | \(-0.510270\pi\) |
0.536373 | + | 0.843981i | \(0.319794\pi\) | |||||||
\(620\) | −5.34914e10 | + | 7.84575e10i | −0.362007 | + | 0.530967i | ||||
\(621\) | −1.88450e10 | − | 1.25029e11i | −0.126716 | − | 0.840703i | ||||
\(622\) | −3.00536e10 | + | 1.17952e10i | −0.200787 | + | 0.0788030i | ||||
\(623\) | 2.35497e11 | − | 1.13409e11i | 1.56326 | − | 0.752829i | ||||
\(624\) | −4.03193e9 | − | 8.37239e9i | −0.0265935 | − | 0.0552219i | ||||
\(625\) | −5.41807e10 | − | 1.38050e11i | −0.355078 | − | 0.904725i | ||||
\(626\) | −6.95338e10 | + | 1.04805e10i | −0.452792 | + | 0.0682474i | ||||
\(627\) | 2.31671e10 | + | 1.57951e10i | 0.149900 | + | 0.102200i | ||||
\(628\) | −7.63958e9 | − | 2.47669e10i | −0.0491169 | − | 0.159233i | ||||
\(629\) | 1.39593e11 | + | 3.18612e10i | 0.891787 | + | 0.203545i | ||||
\(630\) | −8.24149e10 | − | 3.23455e10i | −0.523171 | − | 0.205329i | ||||
\(631\) | 1.67777e11 | − | 1.25731e10i | 1.05831 | − | 0.0793097i | 0.465816 | − | 0.884881i | \(-0.345761\pi\) |
0.592498 | + | 0.805572i | \(0.298142\pi\) | |||||||
\(632\) | −1.53174e11 | − | 1.65083e11i | −0.960102 | − | 1.03474i | ||||
\(633\) | 4.37054e10 | − | 2.97979e10i | 0.272220 | − | 0.185597i | ||||
\(634\) | 1.48787e9 | + | 1.18654e9i | 0.00920891 | + | 0.00734386i | ||||
\(635\) | −1.38038e10 | + | 1.48770e10i | −0.0848993 | + | 0.0914997i | ||||
\(636\) | −4.02225e9 | + | 2.66859e10i | −0.0245833 | + | 0.163100i | ||||
\(637\) | 1.18301e10 | + | 5.18311e10i | 0.0718507 | + | 0.314799i | ||||
\(638\) | −1.05157e11 | − | 1.82137e11i | −0.634680 | − | 1.09930i | ||||
\(639\) | −1.08621e10 | − | 6.27125e9i | −0.0651495 | − | 0.0376141i | ||||
\(640\) | −1.36317e11 | − | 4.20484e10i | −0.812515 | − | 0.250628i | ||||
\(641\) | −8.49282e10 | + | 6.77280e10i | −0.503060 | + | 0.401177i | −0.841872 | − | 0.539677i | \(-0.818546\pi\) |
0.338812 | + | 0.940854i | \(0.389975\pi\) | |||||||
\(642\) | 3.25030e9 | − | 4.33723e10i | 0.0191330 | − | 0.255313i | ||||
\(643\) | −7.43431e10 | − | 3.58018e10i | −0.434908 | − | 0.209440i | 0.203603 | − | 0.979054i | \(-0.434735\pi\) |
−0.638511 | + | 0.769613i | \(0.720449\pi\) | |||||||
\(644\) | 2.41491e11i | 1.40397i | ||||||||
\(645\) | 1.52018e10 | − | 4.09306e10i | 0.0878328 | − | 0.236488i | ||||
\(646\) | −4.11523e10 | −0.236300 | ||||||||
\(647\) | −2.33754e10 | + | 4.85396e10i | −0.133396 | + | 0.276999i | −0.956958 | − | 0.290227i | \(-0.906269\pi\) |
0.823562 | + | 0.567226i | \(0.191984\pi\) | |||||||
\(648\) | 1.30040e11 | + | 9.74518e9i | 0.737528 | + | 0.0552701i | ||||
\(649\) | 8.54775e10 | + | 1.07185e11i | 0.481807 | + | 0.604167i | ||||
\(650\) | −8.11527e8 | + | 2.63090e9i | −0.00454621 | + | 0.0147384i | ||||
\(651\) | 2.39126e10 | − | 4.14179e10i | 0.133139 | − | 0.230603i | ||||
\(652\) | −1.78368e9 | + | 1.02981e9i | −0.00987023 | + | 0.00569858i | ||||
\(653\) | −4.77397e10 | + | 1.08963e10i | −0.262559 | + | 0.0599274i | −0.351774 | − | 0.936085i | \(-0.614421\pi\) |
0.0892148 | + | 0.996012i | \(0.471564\pi\) | |||||||
\(654\) | 1.40672e10 | + | 2.12029e9i | 0.0768949 | + | 0.0115900i | ||||
\(655\) | −2.26755e11 | − | 2.10398e11i | −1.23195 | − | 1.14308i | ||||
\(656\) | −1.61391e10 | + | 2.02378e10i | −0.0871493 | + | 0.109282i | ||||
\(657\) | 5.96441e10 | + | 8.74819e10i | 0.320115 | + | 0.469523i | ||||
\(658\) | −6.41506e10 | + | 5.95230e10i | −0.342213 | + | 0.317528i | ||||
\(659\) | −1.55086e10 | − | 2.06948e11i | −0.0822303 | − | 1.09729i | −0.873825 | − | 0.486241i | \(-0.838368\pi\) |
0.791595 | − | 0.611047i | \(-0.209251\pi\) | |||||||
\(660\) | 2.39989e10 | − | 6.11482e10i | 0.126478 | − | 0.322261i | ||||
\(661\) | −4.72950e10 | + | 2.07213e11i | −0.247747 | + | 1.08545i | 0.686023 | + | 0.727580i | \(0.259355\pi\) |
−0.933770 | + | 0.357873i | \(0.883502\pi\) | |||||||
\(662\) | −1.08586e11 | + | 3.34943e10i | −0.565382 | + | 0.174397i | ||||
\(663\) | −3.52512e10 | + | 5.17041e10i | −0.182440 | + | 0.267591i | ||||
\(664\) | −2.73145e10 | − | 1.81220e11i | −0.140514 | − | 0.932252i | ||||
\(665\) | 7.58273e10 | − | 2.97600e10i | 0.387739 | − | 0.152176i | ||||
\(666\) | −6.75111e10 | + | 3.25116e10i | −0.343146 | + | 0.165250i | ||||
\(667\) | −1.82898e11 | − | 3.79792e11i | −0.924072 | − | 1.91886i | ||||
\(668\) | 7.09902e10 | + | 1.80880e11i | 0.356527 | + | 0.908416i | ||||
\(669\) | 2.40125e10 | − | 3.61930e9i | 0.119876 | − | 0.0180684i | ||||
\(670\) | 4.08751e10 | + | 2.78682e10i | 0.202843 | + | 0.138296i | ||||
\(671\) | 1.50365e11 | + | 4.87473e11i | 0.741750 | + | 2.40470i | ||||
\(672\) | 6.02177e10 | + | 1.37443e10i | 0.295289 | + | 0.0673977i | ||||
\(673\) | 8.50563e10 | + | 3.33821e10i | 0.414616 | + | 0.162725i | 0.563474 | − | 0.826134i | \(-0.309465\pi\) |
−0.148858 | + | 0.988859i | \(0.547560\pi\) | |||||||
\(674\) | −1.36870e11 | + | 1.02570e10i | −0.663236 | + | 0.0497027i | ||||
\(675\) | −1.91052e9 | − | 2.05905e9i | −0.00920314 | − | 0.00991863i | ||||
\(676\) | 1.44651e10 | − | 9.86215e9i | 0.0692684 | − | 0.0472264i | ||||
\(677\) | −2.14951e11 | − | 1.71417e11i | −1.02326 | − | 0.816019i | −0.0401745 | − | 0.999193i | \(-0.512791\pi\) |
−0.983081 | + | 0.183174i | \(0.941363\pi\) | |||||||
\(678\) | 2.52679e9 | − | 2.72324e9i | 0.0119578 | − | 0.0128874i | ||||
\(679\) | −2.86171e10 | + | 1.89862e11i | −0.134631 | + | 0.893221i | ||||
\(680\) | 5.14495e10 | + | 2.25415e11i | 0.240628 | + | 1.05426i | ||||
\(681\) | 2.47220e10 | + | 4.28198e10i | 0.114946 | + | 0.199093i | ||||
\(682\) | 1.74794e11 | + | 1.00917e11i | 0.807958 | + | 0.466475i | ||||
\(683\) | 2.86444e11 | + | 8.83561e10i | 1.31630 | + | 0.406026i | 0.871849 | − | 0.489775i | \(-0.162921\pi\) |
0.444455 | + | 0.895801i | \(0.353397\pi\) | |||||||
\(684\) | −4.22820e10 | + | 3.37188e10i | −0.193166 | + | 0.154045i | ||||
\(685\) | −1.77189e10 | + | 2.36443e11i | −0.0804777 | + | 1.07390i | ||||
\(686\) | 8.44984e10 | + | 4.06923e10i | 0.381550 | + | 0.183745i | ||||
\(687\) | − | 5.52983e10i | − | 0.248248i | ||||||
\(688\) | 1.03901e10 | − | 4.97181e10i | 0.0463732 | − | 0.221902i | ||||
\(689\) | −2.14766e11 | −0.952989 | ||||||||
\(690\) | −2.27489e10 | + | 4.72386e10i | −0.100361 | + | 0.208402i | ||||
\(691\) | −2.49662e11 | − | 1.87096e10i | −1.09506 | − | 0.0820638i | −0.485075 | − | 0.874473i | \(-0.661208\pi\) |
−0.609990 | + | 0.792409i | \(0.708827\pi\) | |||||||
\(692\) | 1.53553e11 | + | 1.92549e11i | 0.669629 | + | 0.839688i | ||||
\(693\) | 1.39289e11 | − | 4.51564e11i | 0.603927 | − | 1.95788i | ||||
\(694\) | 1.72863e10 | − | 2.99407e10i | 0.0745185 | − | 0.129070i | ||||
\(695\) | −1.80555e11 | + | 1.04244e11i | −0.773875 | + | 0.446797i | ||||
\(696\) | −6.64005e10 | + | 1.51555e10i | −0.282966 | + | 0.0645852i | ||||
\(697\) | 1.72366e11 | + | 2.59800e10i | 0.730332 | + | 0.110080i | ||||
\(698\) | 4.51405e10 | + | 4.18842e10i | 0.190171 | + | 0.176453i | ||||
\(699\) | −4.83869e10 | + | 6.06753e10i | −0.202684 | + | 0.254158i | ||||
\(700\) | 3.02204e9 | + | 4.43252e9i | 0.0125866 | + | 0.0184612i | ||||
\(701\) | −1.76083e11 | + | 1.63381e11i | −0.729196 | + | 0.676595i | −0.954674 | − | 0.297653i | \(-0.903796\pi\) |
0.225478 | + | 0.974248i | \(0.427606\pi\) | |||||||
\(702\) | −5.06596e9 | − | 6.76005e10i | −0.0208600 | − | 0.278357i | ||||
\(703\) | 2.51874e10 | − | 6.41766e10i | 0.103125 | − | 0.262758i | ||||
\(704\) | −3.42289e10 | + | 1.49966e11i | −0.139348 | + | 0.610525i | ||||
\(705\) | 4.55922e10 | − | 1.40633e10i | 0.184558 | − | 0.0569287i | ||||
\(706\) | −9.50728e9 | + | 1.39446e10i | −0.0382681 | + | 0.0561291i | ||||
\(707\) | −4.81444e10 | − | 3.19417e11i | −0.192694 | − | 1.27844i | ||||
\(708\) | 1.72328e10 | − | 6.76337e9i | 0.0685839 | − | 0.0269172i | ||||
\(709\) | 3.22449e11 | − | 1.55283e11i | 1.27608 | − | 0.614526i | 0.331697 | − | 0.943386i | \(-0.392379\pi\) |
0.944379 | + | 0.328860i | \(0.106664\pi\) | |||||||
\(710\) | 4.67122e9 | + | 9.69989e9i | 0.0183822 | + | 0.0381710i | ||||
\(711\) | 1.34555e11 | + | 3.42840e11i | 0.526527 | + | 1.34157i | ||||
\(712\) | 3.53237e11 | − | 5.32420e10i | 1.37451 | − | 0.207173i | ||||
\(713\) | 3.34249e11 | + | 2.27887e11i | 1.29334 | + | 0.881782i | ||||
\(714\) | −1.43123e10 | − | 4.63995e10i | −0.0550704 | − | 0.178534i | ||||
\(715\) | 5.09649e11 | + | 1.16324e11i | 1.95006 | + | 0.445087i | ||||
\(716\) | −2.59457e11 | − | 1.01829e11i | −0.987219 | − | 0.387455i | ||||
\(717\) | 1.73610e9 | − | 1.30102e8i | 0.00656897 | − | 0.000492276i | ||||
\(718\) | −6.56468e10 | − | 7.07504e10i | −0.247011 | − | 0.266214i | ||||
\(719\) | −7.57307e10 | + | 5.16323e10i | −0.283372 | + | 0.193200i | −0.696662 | − | 0.717400i | \(-0.745332\pi\) |
0.413290 | + | 0.910600i | \(0.364380\pi\) | |||||||
\(720\) | 4.39013e10 | + | 3.50101e10i | 0.163361 | + | 0.130276i | ||||
\(721\) | −4.53896e10 | + | 4.89184e10i | −0.167964 | + | 0.181022i | ||||
\(722\) | 1.86607e10 | − | 1.23805e11i | 0.0686718 | − | 0.455607i | ||||
\(723\) | −9.83058e9 | − | 4.30706e10i | −0.0359771 | − | 0.157626i | ||||
\(724\) | −2.95235e10 | − | 5.11361e10i | −0.107452 | − | 0.186112i | ||||
\(725\) | −8.10982e9 | − | 4.68221e9i | −0.0293535 | − | 0.0169472i | ||||
\(726\) | −9.71821e10 | − | 2.99767e10i | −0.349816 | − | 0.107904i | ||||
\(727\) | 3.89594e11 | − | 3.10691e11i | 1.39468 | − | 1.11222i | 0.415414 | − | 0.909632i | \(-0.363637\pi\) |
0.979264 | − | 0.202587i | \(-0.0649348\pi\) | |||||||
\(728\) | −2.32041e10 | + | 3.09637e11i | −0.0826112 | + | 1.10237i | ||||
\(729\) | −1.59940e11 | − | 7.70228e10i | −0.566299 | − | 0.272715i | ||||
\(730\) | − | 9.08836e10i | − | 0.320032i | ||||||
\(731\) | −3.24935e11 | + | 1.06809e11i | −1.13796 | + | 0.374058i | ||||
\(732\) | 6.88856e10 | 0.239930 | ||||||||
\(733\) | −4.33726e10 | + | 9.00641e10i | −0.150245 | + | 0.311987i | −0.962484 | − | 0.271338i | \(-0.912534\pi\) |
0.812239 | + | 0.583324i | \(0.198248\pi\) | |||||||
\(734\) | 3.77143e10 | + | 2.82630e9i | 0.129934 | + | 0.00973720i | ||||
\(735\) | 1.40229e10 | + | 1.75842e10i | 0.0480495 | + | 0.0602522i | ||||
\(736\) | −1.54000e11 | + | 4.99254e11i | −0.524817 | + | 1.70142i | ||||
\(737\) | −1.32027e11 | + | 2.28678e11i | −0.447501 | + | 0.775095i | ||||
\(738\) | −7.90013e10 | + | 4.56114e10i | −0.266323 | + | 0.153762i | ||||
\(739\) | 1.99259e11 | − | 4.54796e10i | 0.668098 | − | 0.152489i | 0.124998 | − | 0.992157i | \(-0.460108\pi\) |
0.543100 | + | 0.839668i | \(0.317250\pi\) | |||||||
\(740\) | −1.59711e11 | − | 2.40725e10i | −0.532608 | − | 0.0802777i | ||||
\(741\) | 2.20876e10 | + | 2.04943e10i | 0.0732615 | + | 0.0679767i | ||||
\(742\) | 1.03902e11 | − | 1.30289e11i | 0.342774 | − | 0.429826i | ||||
\(743\) | −4.90706e10 | − | 7.19734e10i | −0.161015 | − | 0.236166i | 0.737250 | − | 0.675620i | \(-0.236124\pi\) |
−0.898265 | + | 0.439455i | \(0.855172\pi\) | |||||||
\(744\) | 4.79140e10 | − | 4.44577e10i | 0.156376 | − | 0.145096i | ||||
\(745\) | −2.69088e10 | − | 3.59073e11i | −0.0873513 | − | 1.16562i | ||||
\(746\) | −2.75370e10 | + | 7.01631e10i | −0.0889121 | + | 0.226544i | ||||
\(747\) | −6.66942e10 | + | 2.92207e11i | −0.214193 | + | 0.938442i | ||||
\(748\) | −4.91728e11 | + | 1.51678e11i | −1.57079 | + | 0.484525i | ||||
\(749\) | 3.79921e11 | − | 5.57241e11i | 1.20716 | − | 1.77058i | ||||
\(750\) | 6.52249e9 | + | 4.32739e10i | 0.0206143 | + | 0.136767i | ||||
\(751\) | −5.04845e11 | + | 1.98137e11i | −1.58708 | + | 0.622882i | −0.984532 | − | 0.175204i | \(-0.943942\pi\) |
−0.602544 | + | 0.798085i | \(0.705846\pi\) | |||||||
\(752\) | 5.00064e10 | − | 2.40818e10i | 0.156370 | − | 0.0753039i | ||||
\(753\) | 2.42088e10 | + | 5.02702e10i | 0.0752999 | + | 0.156362i | ||||
\(754\) | −8.25683e10 | − | 2.10381e11i | −0.255463 | − | 0.650909i | ||||
\(755\) | −5.14202e10 | + | 7.75036e9i | −0.158251 | + | 0.0238525i | ||||
\(756\) | −1.09138e11 | − | 7.44090e10i | −0.334109 | − | 0.227792i | ||||
\(757\) | −5.75148e10 | − | 1.86458e11i | −0.175144 | − | 0.567804i | −0.999997 | − | 0.00245612i | \(-0.999218\pi\) |
0.824853 | − | 0.565348i | \(-0.191258\pi\) | |||||||
\(758\) | 2.59995e11 | + | 5.93421e10i | 0.787568 | + | 0.179757i | ||||
\(759\) | −2.60507e11 | − | 1.02241e11i | −0.784968 | − | 0.308077i | ||||
\(760\) | 1.11017e11 | − | 8.31956e9i | 0.332762 | − | 0.0249371i | ||||
\(761\) | 2.28994e10 | + | 2.46797e10i | 0.0682788 | + | 0.0735871i | 0.766267 | − | 0.642522i | \(-0.222112\pi\) |
−0.697989 | + | 0.716109i | \(0.745921\pi\) | |||||||
\(762\) | 4.81276e9 | − | 3.28128e9i | 0.0142749 | − | 0.00973249i | ||||
\(763\) | 1.72468e11 | + | 1.37539e11i | 0.508875 | + | 0.405814i | ||||
\(764\) | 1.39197e11 | − | 1.50019e11i | 0.408562 | − | 0.440325i | ||||
\(765\) | 5.63577e10 | − | 3.73909e11i | 0.164554 | − | 1.09174i | ||||
\(766\) | −3.61530e10 | − | 1.58397e11i | −0.105010 | − | 0.460077i | ||||
\(767\) | 7.36614e10 | + | 1.27585e11i | 0.212843 | + | 0.368654i | ||||
\(768\) | 6.06109e10 | + | 3.49937e10i | 0.174223 | + | 0.100588i | ||||
\(769\) | −5.39928e11 | − | 1.66546e11i | −1.54394 | − | 0.476243i | −0.598250 | − | 0.801310i | \(-0.704137\pi\) |
−0.945691 | + | 0.325067i | \(0.894613\pi\) | |||||||
\(770\) | −3.17133e11 | + | 2.52905e11i | −0.902150 | + | 0.719441i | ||||
\(771\) | −1.25779e10 | + | 1.67840e11i | −0.0355951 | + | 0.474983i | ||||
\(772\) | 1.00734e11 | + | 4.85111e10i | 0.283602 | + | 0.136575i | ||||
\(773\) | − | 6.93305e11i | − | 1.94181i | −0.239469 | − | 0.970904i | \(-0.576973\pi\) | ||
0.239469 | − | 0.970904i | \(-0.423027\pi\) | |||||||
\(774\) | 9.80979e10 | − | 1.49724e11i | 0.273335 | − | 0.417185i | ||||
\(775\) | 8.98688e9 | 0.0249116 | ||||||||
\(776\) | −1.13857e11 | + | 2.36426e11i | −0.313987 | + | 0.652002i | ||||
\(777\) | 8.11195e10 | + | 6.07906e9i | 0.222557 | + | 0.0166783i | ||||
\(778\) | 1.18043e11 | + | 1.48022e11i | 0.322198 | + | 0.404024i | ||||
\(779\) | 2.47392e10 | − | 8.02024e10i | 0.0671793 | − | 0.217790i | ||||
\(780\) | 3.52948e10 | − | 6.11324e10i | 0.0953525 | − | 0.165155i | ||||
\(781\) | −4.97655e10 | + | 2.87321e10i | −0.133759 | + | 0.0772260i | ||||
\(782\) | 4.00432e11 | − | 9.13959e10i | 1.07078 | − | 0.244399i | ||||
\(783\) | 2.27996e11 | + | 3.43649e10i | 0.606569 | + | 0.0914256i | ||||
\(784\) | 1.91793e10 | + | 1.77958e10i | 0.0507655 | + | 0.0471035i | ||||
\(785\) | 5.44044e10 | − | 6.82209e10i | 0.143270 | − | 0.179655i | ||||
\(786\) | 5.00134e10 | + | 7.33562e10i | 0.131038 | + | 0.192197i | ||||
\(787\) | −8.27490e10 | + | 7.67799e10i | −0.215707 | + | 0.200147i | −0.780624 | − | 0.625001i | \(-0.785099\pi\) |
0.564917 | + | 0.825148i | \(0.308908\pi\) | |||||||
\(788\) | −4.09838e9 | − | 5.46890e10i | −0.0106294 | − | 0.141839i | ||||
\(789\) | −3.22538e10 | + | 8.21812e10i | −0.0832285 | + | 0.212063i | ||||
\(790\) | 7.03468e10 | − | 3.08209e11i | 0.180608 | − | 0.791293i | ||||
\(791\) | 5.50458e10 | − | 1.69794e10i | 0.140611 | − | 0.0433726i | ||||
\(792\) | 3.63815e11 | − | 5.33619e11i | 0.924655 | − | 1.35622i | ||||
\(793\) | 8.17040e10 | + | 5.42070e11i | 0.206610 | + | 1.37076i | ||||
\(794\) | 1.29960e11 | − | 5.10054e10i | 0.326984 | − | 0.128332i | ||||
\(795\) | −8.18588e10 | + | 3.94211e10i | −0.204926 | + | 0.0986871i | ||||
\(796\) | −1.93628e11 | − | 4.02072e11i | −0.482297 | − | 1.00150i | ||||
\(797\) | 2.22205e11 | + | 5.66169e11i | 0.550707 | + | 1.40318i | 0.887153 | + | 0.461475i | \(0.152680\pi\) |
−0.336447 | + | 0.941703i | \(0.609225\pi\) | |||||||
\(798\) | −2.31188e10 | + | 3.48460e9i | −0.0570104 | + | 0.00859294i | ||||
\(799\) | −3.08817e11 | − | 2.10548e11i | −0.757728 | − | 0.516610i | ||||
\(800\) | 3.42109e9 | + | 1.10909e10i | 0.00835226 | + | 0.0270774i | ||||
\(801\) | −5.69575e11 | − | 1.30002e11i | −1.38363 | − | 0.315805i | ||||
\(802\) | −1.69529e11 | − | 6.65350e10i | −0.409775 | − | 0.160825i | ||||
\(803\) | 4.83738e11 | − | 3.62512e10i | 1.16345 | − | 0.0871886i | ||||
\(804\) | 2.42524e10 | + | 2.61379e10i | 0.0580405 | + | 0.0625528i | ||||
\(805\) | −6.71742e11 | + | 4.57986e11i | −1.59963 | + | 1.09061i | ||||
\(806\) | 1.69573e11 | + | 1.35230e11i | 0.401806 | + | 0.320429i | ||||
\(807\) | 4.48336e9 | − | 4.83192e9i | 0.0105708 | − | 0.0113927i | ||||
\(808\) | 6.57985e10 | − | 4.36544e11i | 0.154373 | − | 1.02420i | ||||
\(809\) | −1.67466e11 | − | 7.33718e11i | −0.390961 | − | 1.71291i | −0.661278 | − | 0.750141i | \(-0.729986\pi\) |
0.270317 | − | 0.962771i | \(-0.412872\pi\) | |||||||
\(810\) | 9.15316e10 | + | 1.58537e11i | 0.212633 | + | 0.368292i | ||||
\(811\) | 1.00615e11 | + | 5.80898e10i | 0.232583 | + | 0.134282i | 0.611763 | − | 0.791041i | \(-0.290461\pi\) |
−0.379180 | + | 0.925323i | \(0.623794\pi\) | |||||||
\(812\) | −4.20807e11 | − | 1.29802e11i | −0.967963 | − | 0.298577i | ||||
\(813\) | −1.57568e10 | + | 1.25656e10i | −0.0360666 | + | 0.0287621i | ||||
\(814\) | −2.56552e10 | + | 3.42344e11i | −0.0584356 | + | 0.779768i | ||||
\(815\) | −6.24731e9 | − | 3.00855e9i | −0.0141600 | − | 0.00681909i | ||||
\(816\) | 3.07963e10i | 0.0694606i | ||||||||
\(817\) | 2.75355e10 | + | 1.62373e11i | 0.0618023 | + | 0.364440i | ||||
\(818\) | −3.65438e11 | −0.816207 | ||||||||
\(819\) | 2.20331e11 | − | 4.57523e11i | 0.489712 | − | 1.01690i | ||||
\(820\) | −1.96081e11 | − | 1.46942e10i | −0.433690 | − | 0.0325005i | ||||
\(821\) | 2.81120e11 | + | 3.52513e11i | 0.618755 | + | 0.775894i | 0.988169 | − | 0.153371i | \(-0.0490129\pi\) |
−0.369414 | + | 0.929265i | \(0.620442\pi\) | |||||||
\(822\) | 2.00592e10 | − | 6.50302e10i | 0.0439365 | − | 0.142439i | ||||
\(823\) | 4.12609e10 | − | 7.14660e10i | 0.0899373 | − | 0.155776i | −0.817547 | − | 0.575862i | \(-0.804667\pi\) |
0.907484 | + | 0.420086i | \(0.138000\pi\) | |||||||
\(824\) | −7.89838e10 | + | 4.56013e10i | −0.171328 | + | 0.0989164i | ||||
\(825\) | −6.06102e9 | + | 1.38339e9i | −0.0130837 | + | 0.00298626i | ||||
\(826\) | −1.13037e11 | − | 1.70376e10i | −0.242830 | − | 0.0366007i | ||||
\(827\) | −5.38493e11 | − | 4.99648e11i | −1.15122 | − | 1.06817i | −0.996781 | − | 0.0801721i | \(-0.974453\pi\) |
−0.154437 | − | 0.988003i | \(-0.549357\pi\) | |||||||
\(828\) | 3.36537e11 | − | 4.22005e11i | 0.715998 | − | 0.897834i | ||||
\(829\) | 9.77260e10 | + | 1.43338e11i | 0.206915 | + | 0.303489i | 0.915642 | − | 0.401994i | \(-0.131683\pi\) |
−0.708727 | + | 0.705483i | \(0.750730\pi\) | |||||||
\(830\) | 1.88593e11 | − | 1.74989e11i | 0.397386 | − | 0.368720i | ||||
\(831\) | 1.81182e9 | + | 2.41770e10i | 0.00379936 | + | 0.0506989i | ||||
\(832\) | −6.03903e10 | + | 1.53872e11i | −0.126030 | + | 0.321119i | ||||
\(833\) | 3.92056e10 | − | 1.71771e11i | 0.0814270 | − | 0.356755i | ||||
\(834\) | 5.71811e10 | − | 1.76380e10i | 0.118192 | − | 0.0364574i | ||||
\(835\) | −3.68512e11 | + | 5.40508e11i | −0.758064 | + | 1.11188i | ||||
\(836\) | 3.69288e10 | + | 2.45007e11i | 0.0756032 | + | 0.501595i | ||||
\(837\) | −2.05980e11 | + | 8.08411e10i | −0.419684 | + | 0.164714i | ||||
\(838\) | −4.21814e10 | + | 2.03135e10i | −0.0855351 | + | 0.0411915i | ||||
\(839\) | 3.18901e11 | + | 6.62205e11i | 0.643588 | + | 1.33642i | 0.926143 | + | 0.377174i | \(0.123104\pi\) |
−0.282554 | + | 0.959251i | \(0.591182\pi\) | |||||||
\(840\) | 4.79909e10 | + | 1.22279e11i | 0.0963921 | + | 0.245603i | ||||
\(841\) | 2.65451e11 | − | 4.00103e10i | 0.530640 | − | 0.0799811i | ||||
\(842\) | 2.19770e10 | + | 1.49836e10i | 0.0437240 | + | 0.0298105i | ||||
\(843\) | −1.11012e10 | − | 3.59893e10i | −0.0219817 | − | 0.0712628i | ||||
\(844\) | 4.55713e11 | + | 1.04014e11i | 0.898095 | + | 0.204984i | ||||
\(845\) | 5.48660e10 | + | 2.15333e10i | 0.107616 | + | 0.0422362i | ||||
\(846\) | 1.95053e11 | − | 1.46172e10i | 0.380778 | − | 0.0285354i | ||||
\(847\) | −1.07263e12 | − | 1.15602e12i | −2.08409 | − | 2.24612i | ||||
\(848\) | −8.73273e10 | + | 5.95387e10i | −0.168875 | + | 0.115137i | ||||
\(849\) | 1.80158e11 | + | 1.43671e11i | 0.346756 | + | 0.276528i | ||||
\(850\) | 6.20612e9 | − | 6.68860e9i | 0.0118890 | − | 0.0128133i | ||||
\(851\) | −1.02555e11 | + | 6.80408e11i | −0.195541 | + | 1.29733i | ||||
\(852\) | 1.72668e9 | + | 7.56506e9i | 0.00327682 | + | 0.0143567i | ||||
\(853\) | 2.58794e11 | + | 4.48245e11i | 0.488831 | + | 0.846679i | 0.999917 | − | 0.0128497i | \(-0.00409031\pi\) |
−0.511087 | + | 0.859529i | \(0.670757\pi\) | |||||||
\(854\) | −3.68379e11 | − | 2.12683e11i | −0.692569 | − | 0.399855i | ||||
\(855\) | −1.73981e11 | − | 5.36661e10i | −0.325565 | − | 0.100424i | ||||
\(856\) | 7.20644e11 | − | 5.74694e11i | 1.34223 | − | 1.07039i | ||||
\(857\) | −2.68852e10 | + | 3.58758e11i | −0.0498413 | + | 0.665086i | 0.915202 | + | 0.402995i | \(0.132031\pi\) |
−0.965043 | + | 0.262090i | \(0.915588\pi\) | |||||||
\(858\) | −1.35181e11 | − | 6.51000e10i | −0.249441 | − | 0.120125i | ||||
\(859\) | − | 5.78401e11i | − | 1.06232i | −0.847270 | − | 0.531162i | \(-0.821756\pi\) | ||
0.847270 | − | 0.531162i | \(-0.178244\pi\) | |||||||
\(860\) | 3.56508e11 | − | 1.47539e11i | 0.651742 | − | 0.269719i | ||||
\(861\) | 9.90328e10 | 0.180205 | ||||||||
\(862\) | 6.49387e9 | − | 1.34847e10i | 0.0117618 | − | 0.0244237i | ||||
\(863\) | −1.88606e11 | − | 1.41340e10i | −0.340026 | − | 0.0254814i | −0.0963768 | − | 0.995345i | \(-0.530725\pi\) |
−0.243649 | + | 0.969864i | \(0.578344\pi\) | |||||||
\(864\) | −1.78179e11 | − | 2.23430e11i | −0.319744 | − | 0.400946i | ||||
\(865\) | −2.44392e11 | + | 7.92299e11i | −0.436538 | + | 1.41522i | ||||
\(866\) | −2.33807e11 | + | 4.04966e11i | −0.415706 | + | 0.720024i | ||||
\(867\) | 5.44324e10 | − | 3.14266e10i | 0.0963344 | − | 0.0556187i | ||||
\(868\) | 4.12021e11 | − | 9.40412e10i | 0.725840 | − | 0.165668i | ||||
\(869\) | 1.66854e12 | + | 2.51492e11i | 2.92588 | + | 0.441006i | ||||
\(870\) | −7.00875e10 | − | 6.50317e10i | −0.122339 | − | 0.113514i | ||||
\(871\) | −1.76918e11 | + | 2.21848e11i | −0.307396 | + | 0.385463i | ||||
\(872\) | 1.69833e11 | + | 2.49099e11i | 0.293734 | + | 0.430829i | ||||
\(873\) | 3.14597e11 | − | 2.91903e11i | 0.541623 | − | 0.502553i | ||||
\(874\) | −1.47790e10 | − | 1.97212e11i | −0.0253280 | − | 0.337978i | ||||
\(875\) | −2.47920e11 | + | 6.31690e11i | −0.422941 | + | 1.07764i | ||||
\(876\) | 1.45760e10 | − | 6.38617e10i | 0.0247527 | − | 0.108449i | ||||
\(877\) | 1.07817e11 | − | 3.32572e10i | 0.182259 | − | 0.0562196i | −0.202282 | − | 0.979327i | \(-0.564836\pi\) |
0.384541 | + | 0.923108i | \(0.374360\pi\) | |||||||
\(878\) | 1.79349e11 | − | 2.63057e11i | 0.301802 | − | 0.442662i | ||||
\(879\) | 4.43466e9 | + | 2.94220e10i | 0.00742856 | + | 0.0492853i | ||||
\(880\) | 2.39480e11 | − | 9.39890e10i | 0.399336 | − | 0.156728i | ||||
\(881\) | 3.78570e11 | − | 1.82310e11i | 0.628410 | − | 0.302626i | −0.0924392 | − | 0.995718i | \(-0.529466\pi\) |
0.720849 | + | 0.693092i | \(0.243752\pi\) | |||||||
\(882\) | 4.00060e10 | + | 8.30733e10i | 0.0661075 | + | 0.137274i | ||||
\(883\) | −1.70726e11 | − | 4.35003e11i | −0.280839 | − | 0.715565i | −0.999790 | − | 0.0205044i | \(-0.993473\pi\) |
0.718951 | − | 0.695061i | \(-0.244622\pi\) | |||||||
\(884\) | −5.46803e11 | + | 8.24173e10i | −0.895410 | + | 0.134961i | ||||
\(885\) | 5.14952e10 | + | 3.51088e10i | 0.0839447 | + | 0.0572325i | ||||
\(886\) | −1.30064e11 | − | 4.21658e11i | −0.211068 | − | 0.684267i | ||||
\(887\) | −3.00687e10 | − | 6.86298e9i | −0.0485758 | − | 0.0110871i | 0.198164 | − | 0.980169i | \(-0.436502\pi\) |
−0.246740 | + | 0.969082i | \(0.579359\pi\) | |||||||
\(888\) | 1.03491e11 | + | 4.06171e10i | 0.166437 | + | 0.0653217i | ||||
\(889\) | 9.00704e10 | − | 6.74984e9i | 0.144203 | − | 0.0108065i | ||||
\(890\) | 3.41091e11 | + | 3.67609e11i | 0.543639 | + | 0.585904i | ||||
\(891\) | −8.07324e11 | + | 5.50424e11i | −1.28096 | + | 0.873346i | ||||
\(892\) | 1.67771e11 | + | 1.33793e11i | 0.265008 | + | 0.211337i | ||||
\(893\) | −1.22408e11 | + | 1.31924e11i | −0.192488 | + | 0.207452i | ||||
\(894\) | −1.54034e10 | + | 1.02195e11i | −0.0241139 | + | 0.159985i | ||||
\(895\) | −2.08806e11 | − | 9.14837e11i | −0.325424 | − | 1.42578i | ||||
\(896\) | 3.17450e11 | + | 5.49840e11i | 0.492543 | + | 0.853109i | ||||
\(897\) | −2.60439e11 | − | 1.50365e11i | −0.402287 | − | 0.232261i | ||||
\(898\) | 1.75124e11 | + | 5.40187e10i | 0.269303 | + | 0.0830690i | ||||
\(899\) | −5.76761e11 | + | 4.59951e11i | −0.882992 | + | 0.704163i | ||||
\(900\) | 8.96075e8 | − | 1.19573e10i | 0.00136576 | − | 0.0182248i | ||||
\(901\) | 6.41259e11 | + | 3.08814e11i | 0.973049 | + | 0.468596i | ||||
\(902\) | 4.17943e11i | 0.631381i | ||||||||
\(903\) | −1.73500e11 | + | 8.75182e10i | −0.260945 | + | 0.131628i | ||||
\(904\) | 7.87281e10 | 0.117884 | ||||||||
\(905\) | 8.62515e10 | − | 1.79103e11i | 0.128580 | − | 0.266999i | ||||
\(906\) | 1.48835e10 | + | 1.11536e9i | 0.0220898 | + | 0.00165540i | ||||
\(907\) | −4.89430e11 | − | 6.13726e11i | −0.723206 | − | 0.906871i | 0.275309 | − | 0.961356i | \(-0.411220\pi\) |
−0.998515 | + | 0.0544847i | \(0.982648\pi\) | |||||||
\(908\) | −1.28785e11 | + | 4.17510e11i | −0.189462 | + | 0.614220i | ||||
\(909\) | −3.61002e11 | + | 6.25275e11i | −0.528755 | + | 0.915831i | ||||
\(910\) | −3.77491e11 | + | 2.17945e11i | −0.550479 | + | 0.317819i | ||||
\(911\) | 2.02495e11 | − | 4.62181e10i | 0.293995 | − | 0.0671025i | −0.0729794 | − | 0.997333i | \(-0.523251\pi\) |
0.366975 | + | 0.930231i | \(0.380394\pi\) | |||||||
\(912\) | 1.46628e10 | + | 2.21005e9i | 0.0211951 | + | 0.00319465i | ||||
\(913\) | 1.00662e12 | + | 9.34008e11i | 1.44871 | + | 1.34421i | ||||
\(914\) | 3.52454e11 | − | 4.41963e11i | 0.505030 | − | 0.633288i | ||||
\(915\) | 1.30641e11 | + | 1.91615e11i | 0.186378 | + | 0.273367i | ||||
\(916\) | 3.58209e11 | − | 3.32369e11i | 0.508808 | − | 0.472105i | ||||
\(917\) | 1.02881e11 | + | 1.37285e12i | 0.145499 | + | 1.94154i | ||||
\(918\) | −8.20775e10 | + | 2.09130e11i | −0.115572 | + | 0.294473i | ||||
\(919\) | −8.05939e10 | + | 3.53105e11i | −0.112990 | + | 0.495041i | 0.886489 | + | 0.462751i | \(0.153137\pi\) |
−0.999479 | + | 0.0322909i | \(0.989720\pi\) | |||||||
\(920\) | −1.06177e12 | + | 3.27513e11i | −1.48211 | + | 0.457169i | ||||
\(921\) | 9.19792e10 | − | 1.34909e11i | 0.127835 | − | 0.187500i | ||||
\(922\) | 1.13331e11 | + | 7.51902e11i | 0.156829 | + | 1.04049i | ||||
\(923\) | −5.74826e10 | + | 2.25602e10i | −0.0792007 | + | 0.0310840i | ||||
\(924\) | −2.63403e11 | + | 1.26848e11i | −0.361354 | + | 0.174019i | ||||
\(925\) | 6.63232e9 | + | 1.37722e10i | 0.00905939 | + | 0.0188120i | ||||
\(926\) | 8.57961e10 | + | 2.18605e11i | 0.116687 | + | 0.297314i | ||||
\(927\) | 1.47490e11 | − | 2.22306e10i | 0.199730 | − | 0.0301045i | ||||
\(928\) | −7.87194e11 | − | 5.36700e11i | −1.06143 | − | 0.723669i | ||||
\(929\) | −5.98152e8 | − | 1.93916e9i | −0.000803062 | − | 0.00260346i | 0.955170 | − | 0.296057i | \(-0.0956717\pi\) |
−0.955973 | + | 0.293453i | \(0.905196\pi\) | |||||||
\(930\) | 8.94554e10 | + | 2.04176e10i | 0.119584 | + | 0.0272944i | ||||
\(931\) | −7.89701e10 | − | 3.09935e10i | −0.105115 | − | 0.0412545i | ||||
\(932\) | −6.83868e11 | + | 5.12488e10i | −0.906376 | + | 0.0679235i | ||||
\(933\) | −5.32849e10 | − | 5.74275e10i | −0.0703198 | − | 0.0757867i | ||||
\(934\) | −1.40078e11 | + | 9.55034e10i | −0.184069 | + | 0.125496i | ||||
\(935\) | −1.35448e12 | − | 1.08016e12i | −1.77225 | − | 1.41332i | ||||
\(936\) | 4.72054e11 | − | 5.08754e11i | 0.615019 | − | 0.662833i | ||||
\(937\) | 1.62023e11 | − | 1.07495e12i | 0.210193 | − | 1.39454i | −0.596048 | − | 0.802949i | \(-0.703263\pi\) |
0.806240 | − | 0.591588i | \(-0.201499\pi\) | |||||||
\(938\) | −4.89940e10 | − | 2.14657e11i | −0.0632894 | − | 0.277289i | ||||
\(939\) | −8.53146e10 | − | 1.47769e11i | −0.109739 | − | 0.190073i | ||||
\(940\) | 3.65129e11 | + | 2.10808e11i | 0.467666 | + | 0.270007i | ||||
\(941\) | 3.34332e11 | + | 1.03128e11i | 0.426402 | + | 0.131528i | 0.500526 | − | 0.865721i | \(-0.333140\pi\) |
−0.0741241 | + | 0.997249i | \(0.523616\pi\) | |||||||
\(942\) | −1.95806e10 | + | 1.56150e10i | −0.0248670 | + | 0.0198307i | ||||
\(943\) | −6.26010e10 | + | 8.35352e11i | −0.0791652 | + | 1.05639i | ||||
\(944\) | 6.53220e10 | + | 3.14574e10i | 0.0822568 | + | 0.0396128i | ||||
\(945\) | − | 4.44699e11i | − | 0.557621i | ||||||
\(946\) | −3.69349e11 | − | 7.32214e11i | −0.461182 | − | 0.914268i | ||||
\(947\) | −1.84752e11 | −0.229715 | −0.114858 | − | 0.993382i | \(-0.536641\pi\) | ||||
−0.114858 | + | 0.993382i | \(0.536641\pi\) | |||||||
\(948\) | 9.88620e10 | − | 2.05289e11i | 0.122404 | − | 0.254175i | ||||
\(949\) | 5.19826e11 | + | 3.89555e10i | 0.640904 | + | 0.0480291i | ||||
\(950\) | −2.73920e9 | − | 3.43485e9i | −0.00336302 | − | 0.00421710i | ||||
\(951\) | −1.36111e9 | + | 4.41260e9i | −0.00166407 | + | 0.00539477i | ||||
\(952\) | 5.14516e11 | − | 8.91167e11i | 0.626398 | − | 1.08495i | ||||
\(953\) | 3.38603e10 | − | 1.95493e10i | 0.0410506 | − | 0.0237006i | −0.479334 | − | 0.877632i | \(-0.659122\pi\) |
0.520385 | + | 0.853932i | \(0.325788\pi\) | |||||||
\(954\) | −3.63137e11 | + | 8.28837e10i | −0.438407 | + | 0.100063i | ||||
\(955\) | 6.81288e11 | + | 1.02688e11i | 0.819062 | + | 0.123454i | ||||
\(956\) | 1.12775e10 | + | 1.04640e10i | 0.0135015 | + | 0.0125276i | ||||
\(957\) | 3.18182e11 | − | 3.98988e11i | 0.379340 | − | 0.475677i | ||||
\(958\) | −4.42762e11 | − | 6.49413e11i | −0.525665 | − | 0.771008i | ||||
\(959\) | 7.73563e11 | − | 7.17761e11i | 0.914579 | − | 0.848605i | ||||
\(960\) | 5.22583e9 | + | 6.97339e10i | 0.00615277 | + | 0.0821030i | ||||
\(961\) | −5.29480e10 | + | 1.34909e11i | −0.0620806 | + | 0.158179i | ||||
\(962\) | −8.20914e10 | + | 3.59666e11i | −0.0958511 | + | 0.419951i | ||||
\(963\) | −1.44047e12 | + | 4.44327e11i | −1.67494 | + | 0.516651i | ||||
\(964\) | 2.19914e11 | − | 3.22555e11i | 0.254651 | − | 0.373504i | ||||
\(965\) | 5.61014e10 | + | 3.72209e11i | 0.0646941 | + | 0.429217i | ||||
\(966\) | 2.17218e11 | − | 8.52519e10i | 0.249453 | − | 0.0979029i | ||||
\(967\) | 1.08074e12 | − | 5.20455e11i | 1.23599 | − | 0.595219i | 0.302266 | − | 0.953224i | \(-0.402257\pi\) |
0.933720 | + | 0.358004i | \(0.116543\pi\) | |||||||
\(968\) | −9.35136e11 | − | 1.94183e12i | −1.06506 | − | 2.21162i | ||||
\(969\) | −3.64814e10 | − | 9.29531e10i | −0.0413787 | − | 0.105431i | ||||
\(970\) | −3.64263e11 | + | 5.49038e10i | −0.411460 | + | 0.0620176i | ||||
\(971\) | 9.72639e11 | + | 6.63134e11i | 1.09414 | + | 0.745975i | 0.969221 | − | 0.246192i | \(-0.0791792\pi\) |
0.124923 | + | 0.992166i | \(0.460132\pi\) | |||||||
\(972\) | 1.32006e11 | + | 4.27955e11i | 0.147887 | + | 0.479438i | ||||
\(973\) | 9.04629e11 | + | 2.06476e11i | 1.00930 | + | 0.230365i | ||||
\(974\) | −3.76301e11 | − | 1.47687e11i | −0.418119 | − | 0.164099i | ||||
\(975\) | −6.66200e9 | + | 4.99248e8i | −0.00737201 | + | 0.000552456i | ||||
\(976\) | 1.83499e11 | + | 1.97764e11i | 0.202224 | + | 0.217946i | ||||
\(977\) | 9.01758e10 | − | 6.14808e10i | 0.0989718 | − | 0.0674778i | −0.512823 | − | 0.858494i | \(-0.671400\pi\) |
0.611795 | + | 0.791017i | \(0.290448\pi\) | |||||||
\(978\) | 1.55598e9 | + | 1.24086e9i | 0.00170079 | + | 0.00135633i | ||||
\(979\) | −1.82059e12 | + | 1.96213e12i | −1.98190 | + | 2.13598i | ||||
\(980\) | −2.96216e10 | + | 1.96526e11i | −0.0321147 | + | 0.213067i | ||||
\(981\) | −1.09716e11 | − | 4.80698e11i | −0.118466 | − | 0.519034i | ||||
\(982\) | 2.54909e11 | + | 4.41516e11i | 0.274119 | + | 0.474788i | ||||
\(983\) | 4.00953e11 | + | 2.31490e11i | 0.429417 | + | 0.247924i | 0.699098 | − | 0.715026i | \(-0.253585\pi\) |
−0.269681 | + | 0.962950i | \(0.586918\pi\) | |||||||
\(984\) | 1.29334e11 | + | 3.98943e10i | 0.137953 | + | 0.0425530i | ||||
\(985\) | 1.44353e11 | − | 1.15118e11i | 0.153349 | − | 0.122292i | ||||
\(986\) | −5.59719e10 | + | 7.46893e11i | −0.0592192 | + | 0.790225i | ||||
\(987\) | −1.91317e11 | − | 9.21336e10i | −0.201598 | − | 0.0970844i | ||||
\(988\) | 2.66258e11i | 0.279432i | ||||||||
\(989\) | −6.28551e11 | − | 1.51881e12i | −0.656985 | − | 1.58752i | ||||
\(990\) | 9.06634e11 | 0.943825 | ||||||||
\(991\) | −5.15779e11 | + | 1.07103e12i | −0.534772 | + | 1.11047i | 0.442164 | + | 0.896934i | \(0.354211\pi\) |
−0.976936 | + | 0.213531i | \(0.931503\pi\) | |||||||
\(992\) | 9.11777e11 | + | 6.83282e10i | 0.941547 | + | 0.0705592i | ||||
\(993\) | −1.71917e11 | − | 2.15577e11i | −0.176816 | − | 0.221720i | ||||
\(994\) | 1.41233e10 | − | 4.57867e10i | 0.0144674 | − | 0.0469022i | ||||
\(995\) | 7.51208e11 | − | 1.30113e12i | 0.766422 | − | 1.32748i | ||||
\(996\) | 1.60585e11 | − | 9.27135e10i | 0.163180 | − | 0.0942119i | ||||
\(997\) | 1.27935e12 | − | 2.92003e11i | 1.29482 | − | 0.295533i | 0.481033 | − | 0.876702i | \(-0.340262\pi\) |
0.813783 | + | 0.581169i | \(0.197404\pi\) | |||||||
\(998\) | −3.04019e10 | − | 4.58235e9i | −0.0306464 | − | 0.00461920i | ||||
\(999\) | −2.75900e11 | − | 2.55998e11i | −0.277007 | − | 0.257025i |
(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.h.a.3.18 | ✓ | 336 | |
43.29 | odd | 42 | inner | 43.9.h.a.29.18 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.h.a.3.18 | ✓ | 336 | 1.1 | even | 1 | trivial | |
43.9.h.a.29.18 | yes | 336 | 43.29 | odd | 42 | inner |