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 | 12.16 | ||
Character | \(\chi\) | \(=\) | 43.12 |
Dual form | 43.9.h.a.18.16 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.28196 | + | 6.81506i | 0.205123 | + | 0.425941i | 0.977997 | − | 0.208617i | \(-0.0668962\pi\) |
−0.772875 | + | 0.634559i | \(0.781182\pi\) | |||||||
\(3\) | −72.1741 | − | 105.860i | −0.891038 | − | 1.30691i | −0.951153 | − | 0.308721i | \(-0.900099\pi\) |
0.0601147 | − | 0.998191i | \(-0.480853\pi\) | |||||||
\(4\) | 123.940 | − | 155.415i | 0.484139 | − | 0.607091i | ||||
\(5\) | 428.780 | − | 462.115i | 0.686048 | − | 0.739384i | −0.289979 | − | 0.957033i | \(-0.593648\pi\) |
0.976027 | + | 0.217649i | \(0.0698389\pi\) | |||||||
\(6\) | 484.570 | − | 839.299i | 0.373896 | − | 0.647607i | ||||
\(7\) | 2434.71 | − | 1405.68i | 1.01404 | − | 0.585455i | 0.101667 | − | 0.994818i | \(-0.467582\pi\) |
0.912372 | + | 0.409363i | \(0.134249\pi\) | |||||||
\(8\) | 3353.80 | + | 765.484i | 0.818799 | + | 0.186886i | ||||
\(9\) | −3600.22 | + | 9173.22i | −0.548731 | + | 1.39814i | ||||
\(10\) | 4556.58 | + | 1405.52i | 0.455658 | + | 0.140552i | ||||
\(11\) | −4301.73 | − | 5394.20i | −0.293814 | − | 0.368431i | 0.612912 | − | 0.790151i | \(-0.289998\pi\) |
−0.906726 | + | 0.421720i | \(0.861426\pi\) | |||||||
\(12\) | −25397.5 | − | 1903.28i | −1.22480 | − | 0.0917862i | ||||
\(13\) | 38076.8 | − | 11745.1i | 1.33317 | − | 0.411230i | 0.455393 | − | 0.890291i | \(-0.349499\pi\) |
0.877782 | + | 0.479061i | \(0.159023\pi\) | |||||||
\(14\) | 17570.4 | + | 11979.3i | 0.457372 | + | 0.311831i | ||||
\(15\) | −79866.2 | − | 12037.9i | −1.57760 | − | 0.237786i | ||||
\(16\) | −5533.55 | − | 24244.1i | −0.0844353 | − | 0.369935i | ||||
\(17\) | 19019.8 | − | 17647.8i | 0.227724 | − | 0.211297i | −0.558056 | − | 0.829804i | \(-0.688452\pi\) |
0.785780 | + | 0.618506i | \(0.212262\pi\) | |||||||
\(18\) | −74331.9 | + | 5570.40i | −0.708085 | + | 0.0530636i | ||||
\(19\) | −150079. | + | 58901.7i | −1.15161 | + | 0.451974i | −0.862866 | − | 0.505432i | \(-0.831333\pi\) |
−0.288745 | + | 0.957406i | \(0.593238\pi\) | |||||||
\(20\) | −18676.9 | − | 123913.i | −0.116731 | − | 0.774458i | ||||
\(21\) | −324528. | − | 156284.i | −1.66869 | − | 0.803597i | ||||
\(22\) | 22643.7 | − | 47020.1i | 0.0966621 | − | 0.200721i | ||||
\(23\) | 381516. | − | 57504.3i | 1.36333 | − | 0.205489i | 0.573697 | − | 0.819067i | \(-0.305509\pi\) |
0.789634 | + | 0.613578i | \(0.210271\pi\) | |||||||
\(24\) | −161024. | − | 410281.i | −0.485338 | − | 1.23662i | ||||
\(25\) | −506.476 | − | 6758.45i | −0.00129658 | − | 0.0173016i | ||||
\(26\) | 205010. | + | 220949.i | 0.448624 | + | 0.483502i | ||||
\(27\) | 411382. | − | 93895.3i | 0.774088 | − | 0.176681i | ||||
\(28\) | 83292.5 | − | 552610.i | 0.135511 | − | 0.899055i | ||||
\(29\) | −511788. | + | 750655.i | −0.723599 | + | 1.06132i | 0.271500 | + | 0.962438i | \(0.412480\pi\) |
−0.995099 | + | 0.0988862i | \(0.968472\pi\) | |||||||
\(30\) | −180079. | − | 583801.i | −0.222320 | − | 0.720743i | ||||
\(31\) | 14153.2 | − | 188862.i | 0.0153253 | − | 0.204502i | −0.984285 | − | 0.176587i | \(-0.943494\pi\) |
0.999610 | − | 0.0279146i | \(-0.00888665\pi\) | |||||||
\(32\) | 835586. | − | 666358.i | 0.796877 | − | 0.635488i | ||||
\(33\) | −260556. | + | 844702.i | −0.219708 | + | 0.712275i | ||||
\(34\) | 182693. | + | 71701.6i | 0.136712 | + | 0.0536554i | ||||
\(35\) | 394368. | − | 1.72784e6i | 0.262803 | − | 1.15141i | ||||
\(36\) | 979449. | + | 1.69645e6i | 0.583138 | + | 1.01003i | ||||
\(37\) | −813581. | − | 469721.i | −0.434104 | − | 0.250630i | 0.266990 | − | 0.963699i | \(-0.413971\pi\) |
−0.701093 | + | 0.713069i | \(0.747304\pi\) | |||||||
\(38\) | −893973. | − | 829486.i | −0.428736 | − | 0.397809i | ||||
\(39\) | −3.99150e6 | − | 3.18311e6i | −1.72535 | − | 1.37592i | ||||
\(40\) | 1.79178e6 | − | 1.22162e6i | 0.699916 | − | 0.477195i | ||||
\(41\) | −3.33583e6 | + | 1.60645e6i | −1.18051 | + | 0.568501i | −0.918058 | − | 0.396445i | \(-0.870244\pi\) |
−0.262447 | + | 0.964946i | \(0.584529\pi\) | |||||||
\(42\) | − | 2.72460e6i | − | 0.875598i | ||||||
\(43\) | −1.18840e6 | + | 3.20561e6i | −0.347607 | + | 0.937640i | ||||
\(44\) | −1.37150e6 | −0.365918 | ||||||||
\(45\) | 2.69538e6 | + | 5.59701e6i | 0.657309 | + | 1.36492i | ||||
\(46\) | 1.64402e6 | + | 2.41133e6i | 0.367176 | + | 0.538549i | ||||
\(47\) | −740795. | + | 928928.i | −0.151812 | + | 0.190367i | −0.851922 | − | 0.523669i | \(-0.824563\pi\) |
0.700110 | + | 0.714035i | \(0.253134\pi\) | |||||||
\(48\) | −2.16710e6 | + | 2.33557e6i | −0.408238 | + | 0.439976i | ||||
\(49\) | 1.06946e6 | − | 1.85236e6i | 0.185516 | − | 0.321323i | ||||
\(50\) | 44397.0 | − | 25632.6i | 0.00710353 | − | 0.00410122i | ||||
\(51\) | −3.24092e6 | − | 739720.i | −0.479058 | − | 0.109342i | ||||
\(52\) | 2.89385e6 | − | 7.37341e6i | 0.395788 | − | 1.00845i | ||||
\(53\) | 8.59362e6 | + | 2.65078e6i | 1.08911 | + | 0.335947i | 0.786766 | − | 0.617251i | \(-0.211754\pi\) |
0.302346 | + | 0.953198i | \(0.402230\pi\) | |||||||
\(54\) | 1.99004e6 | + | 2.49544e6i | 0.234039 | + | 0.293475i | ||||
\(55\) | −4.33723e6 | − | 325031.i | −0.473982 | − | 0.0355201i | ||||
\(56\) | 9.24155e6 | − | 2.85064e6i | 0.939707 | − | 0.289861i | ||||
\(57\) | 1.70672e7 | + | 1.16362e7i | 1.61682 | + | 1.10233i | ||||
\(58\) | −6.79543e6 | − | 1.02425e6i | −0.600489 | − | 0.0905091i | ||||
\(59\) | 3.48268e6 | + | 1.52586e7i | 0.287412 | + | 1.25923i | 0.888063 | + | 0.459723i | \(0.152051\pi\) |
−0.600650 | + | 0.799512i | \(0.705092\pi\) | |||||||
\(60\) | −1.17695e7 | + | 1.09205e7i | −0.908137 | + | 0.842628i | ||||
\(61\) | 2.04074e7 | − | 1.52933e6i | 1.47390 | − | 0.110454i | 0.686607 | − | 0.727028i | \(-0.259099\pi\) |
0.787297 | + | 0.616575i | \(0.211480\pi\) | |||||||
\(62\) | 1.33355e6 | − | 523381.i | 0.0902493 | − | 0.0354202i | ||||
\(63\) | 4.12911e6 | + | 2.73949e7i | 0.262116 | + | 1.73903i | ||||
\(64\) | 1.54798e6 | + | 745470.i | 0.0922670 | + | 0.0444335i | ||||
\(65\) | 1.08990e7 | − | 2.26319e7i | 0.610565 | − | 1.26785i | ||||
\(66\) | −6.61183e6 | + | 996573.i | −0.348454 | + | 0.0525211i | ||||
\(67\) | −6.78166e6 | − | 1.72794e7i | −0.336540 | − | 0.857490i | −0.994529 | − | 0.104462i | \(-0.966688\pi\) |
0.657989 | − | 0.753028i | \(-0.271407\pi\) | |||||||
\(68\) | −385431. | − | 5.14322e6i | −0.0180265 | − | 0.240547i | ||||
\(69\) | −3.36230e7 | − | 3.62369e7i | −1.48334 | − | 1.59866i | ||||
\(70\) | 1.30696e7 | − | 2.98306e6i | 0.544342 | − | 0.124242i | ||||
\(71\) | 77398.3 | − | 513504.i | 0.00304578 | − | 0.0202074i | −0.987256 | − | 0.159138i | \(-0.949128\pi\) |
0.990302 | + | 0.138931i | \(0.0443666\pi\) | |||||||
\(72\) | −1.90964e7 | + | 2.80093e7i | −0.710594 | + | 1.04225i | ||||
\(73\) | 1.28119e7 | + | 4.15353e7i | 0.451152 | + | 1.46260i | 0.840653 | + | 0.541574i | \(0.182171\pi\) |
−0.389501 | + | 0.921026i | \(0.627352\pi\) | |||||||
\(74\) | 531038. | − | 7.08621e6i | 0.0177092 | − | 0.236313i | ||||
\(75\) | −678895. | + | 541400.i | −0.0214564 | + | 0.0171109i | ||||
\(76\) | −9.44651e6 | + | 3.06248e7i | −0.283150 | + | 0.917951i | ||||
\(77\) | −1.80560e7 | − | 7.08644e6i | −0.513638 | − | 0.201588i | ||||
\(78\) | 8.59318e6 | − | 3.76492e7i | 0.232154 | − | 1.01713i | ||||
\(79\) | −2.90663e7 | − | 5.03442e7i | −0.746244 | − | 1.29253i | −0.949611 | − | 0.313430i | \(-0.898522\pi\) |
0.203368 | − | 0.979102i | \(-0.434811\pi\) | |||||||
\(80\) | −1.35762e7 | − | 7.83823e6i | −0.331451 | − | 0.191363i | ||||
\(81\) | 7.76447e6 | + | 7.20438e6i | 0.180373 | + | 0.167362i | ||||
\(82\) | −2.18961e7 | − | 1.74616e7i | −0.484297 | − | 0.386214i | ||||
\(83\) | 2.01133e7 | − | 1.37130e7i | 0.423811 | − | 0.288949i | −0.332573 | − | 0.943078i | \(-0.607917\pi\) |
0.756384 | + | 0.654128i | \(0.226964\pi\) | |||||||
\(84\) | −6.45108e7 | + | 3.10668e7i | −1.29573 | + | 0.623992i | ||||
\(85\) | − | 1.63563e7i | − | 0.313336i | ||||||
\(86\) | −2.57467e7 | + | 2.42167e6i | −0.470682 | + | 0.0442712i | ||||
\(87\) | 1.16402e8 | 2.03181 | ||||||||
\(88\) | −1.02980e7 | − | 2.13840e7i | −0.171720 | − | 0.356581i | ||||
\(89\) | 2.26558e7 | + | 3.32299e7i | 0.361093 | + | 0.529626i | 0.963199 | − | 0.268790i | \(-0.0866239\pi\) |
−0.602106 | + | 0.798416i | \(0.705672\pi\) | |||||||
\(90\) | −2.92979e7 | + | 3.67383e7i | −0.446546 | + | 0.559950i | ||||
\(91\) | 7.61960e7 | − | 8.21197e7i | 1.11113 | − | 1.19752i | ||||
\(92\) | 3.83479e7 | − | 6.64205e7i | 0.535291 | − | 0.927151i | ||||
\(93\) | −2.10144e7 | + | 1.21326e7i | −0.280921 | + | 0.162190i | ||||
\(94\) | −8.76197e6 | − | 1.99986e6i | −0.112225 | − | 0.0256147i | ||||
\(95\) | −3.71316e7 | + | 9.46097e7i | −0.455878 | + | 1.16156i | ||||
\(96\) | −1.30848e8 | − | 4.03613e7i | −1.54058 | − | 0.475205i | ||||
\(97\) | −2.63229e7 | − | 3.30078e7i | −0.297335 | − | 0.372847i | 0.610613 | − | 0.791929i | \(-0.290923\pi\) |
−0.907948 | + | 0.419083i | \(0.862352\pi\) | |||||||
\(98\) | 1.61339e7 | + | 1.20907e6i | 0.174918 | + | 0.0131083i | ||||
\(99\) | 6.49693e7 | − | 2.00404e7i | 0.676344 | − | 0.208625i | ||||
\(100\) | −1.11314e6 | − | 758925.i | −0.0111314 | − | 0.00758925i | ||||
\(101\) | 1.15042e7 | + | 1.73398e6i | 0.110553 | + | 0.0166632i | 0.204086 | − | 0.978953i | \(-0.434578\pi\) |
−0.0935326 | + | 0.995616i | \(0.529816\pi\) | |||||||
\(102\) | −5.59535e6 | − | 2.45148e7i | −0.0516924 | − | 0.226479i | ||||
\(103\) | 1.52335e8 | − | 1.41346e8i | 1.35347 | − | 1.25584i | 0.415296 | − | 0.909686i | \(-0.363678\pi\) |
0.938178 | − | 0.346154i | \(-0.112513\pi\) | |||||||
\(104\) | 1.36693e8 | − | 1.02437e7i | 1.16846 | − | 0.0875636i | ||||
\(105\) | −2.11372e8 | + | 8.29575e7i | −1.73896 | + | 0.682493i | ||||
\(106\) | 1.01387e7 | + | 6.72658e7i | 0.0803079 | + | 0.532808i | ||||
\(107\) | −1.66553e8 | − | 8.02075e7i | −1.27062 | − | 0.611899i | −0.327658 | − | 0.944796i | \(-0.606259\pi\) |
−0.942963 | + | 0.332897i | \(0.891974\pi\) | |||||||
\(108\) | 3.63938e7 | − | 7.55724e7i | 0.267505 | − | 0.555480i | ||||
\(109\) | −1.52328e8 | + | 2.29597e7i | −1.07913 | + | 0.162652i | −0.664462 | − | 0.747322i | \(-0.731339\pi\) |
−0.414665 | + | 0.909974i | \(0.636101\pi\) | |||||||
\(110\) | −1.20195e7 | − | 3.06253e7i | −0.0820950 | − | 0.209175i | ||||
\(111\) | 8.99480e6 | + | 1.20027e8i | 0.0592515 | + | 0.790657i | ||||
\(112\) | −4.75519e7 | − | 5.12488e7i | −0.302201 | − | 0.325695i | ||||
\(113\) | 1.64908e8 | − | 3.76392e7i | 1.01141 | − | 0.230848i | 0.315461 | − | 0.948938i | \(-0.397841\pi\) |
0.695950 | + | 0.718090i | \(0.254984\pi\) | |||||||
\(114\) | −2.32876e7 | + | 1.54503e8i | −0.137881 | + | 0.914783i | ||||
\(115\) | 1.37013e8 | − | 2.00961e8i | 0.783375 | − | 1.14900i | ||||
\(116\) | 5.32325e7 | + | 1.72575e8i | 0.293998 | + | 0.953119i | ||||
\(117\) | −2.93443e7 | + | 3.91572e8i | −0.156596 | + | 2.08962i | ||||
\(118\) | −9.25583e7 | + | 7.38128e7i | −0.477405 | + | 0.380718i | ||||
\(119\) | 2.15005e7 | − | 6.97028e7i | 0.107216 | − | 0.347586i | ||||
\(120\) | −2.58641e8 | − | 1.01509e8i | −1.24730 | − | 0.489530i | ||||
\(121\) | 3.71068e7 | − | 1.62576e8i | 0.173106 | − | 0.758428i | ||||
\(122\) | 7.73989e7 | + | 1.34059e8i | 0.349378 | + | 0.605140i | ||||
\(123\) | 4.10819e8 | + | 2.37186e8i | 1.79486 | + | 1.03626i | ||||
\(124\) | −2.75978e7 | − | 2.56070e7i | −0.116732 | − | 0.108311i | ||||
\(125\) | 1.89185e8 | + | 1.50870e8i | 0.774903 | + | 0.617964i | ||||
\(126\) | −1.73146e8 | + | 1.18049e8i | −0.686959 | + | 0.468360i | ||||
\(127\) | −2.59705e8 | + | 1.25068e8i | −0.998312 | + | 0.480762i | −0.860365 | − | 0.509678i | \(-0.829764\pi\) |
−0.137946 | + | 0.990440i | \(0.544050\pi\) | |||||||
\(128\) | − | 2.60605e8i | − | 0.970830i | ||||||
\(129\) | 4.25117e8 | − | 1.05558e8i | 1.53514 | − | 0.381182i | ||||
\(130\) | 1.90008e8 | 0.665271 | ||||||||
\(131\) | 9.62000e7 | + | 1.99761e8i | 0.326655 | + | 0.678307i | 0.998025 | − | 0.0628157i | \(-0.0200080\pi\) |
−0.671370 | + | 0.741123i | \(0.734294\pi\) | |||||||
\(132\) | 9.89864e7 | + | 1.45186e8i | 0.326047 | + | 0.478223i | ||||
\(133\) | −2.82602e8 | + | 3.54371e8i | −0.903167 | + | 1.13254i | ||||
\(134\) | 9.55029e7 | − | 1.02928e8i | 0.296208 | − | 0.319237i | ||||
\(135\) | 1.33002e8 | − | 2.30366e8i | 0.400427 | − | 0.693560i | ||||
\(136\) | 7.72976e7 | − | 4.46278e7i | 0.225949 | − | 0.130452i | ||||
\(137\) | −2.07591e8 | − | 4.73814e7i | −0.589287 | − | 0.134501i | −0.0825283 | − | 0.996589i | \(-0.526299\pi\) |
−0.506759 | + | 0.862088i | \(0.669157\pi\) | |||||||
\(138\) | 1.36608e8 | − | 3.48071e8i | 0.376668 | − | 0.959735i | ||||
\(139\) | 1.13205e8 | + | 3.49191e7i | 0.303254 | + | 0.0935415i | 0.442648 | − | 0.896696i | \(-0.354039\pi\) |
−0.139394 | + | 0.990237i | \(0.544515\pi\) | |||||||
\(140\) | −2.19655e8 | − | 2.75439e8i | −0.571780 | − | 0.716990i | ||||
\(141\) | 1.51802e8 | + | 1.13760e7i | 0.384063 | + | 0.0287815i | ||||
\(142\) | 3.75358e6 | − | 1.15783e6i | 0.00923193 | − | 0.00284767i | ||||
\(143\) | −2.27152e8 | − | 1.54869e8i | −0.543215 | − | 0.370358i | ||||
\(144\) | 2.42318e8 | + | 3.65236e7i | 0.563555 | + | 0.0849422i | ||||
\(145\) | 1.27444e8 | + | 5.58370e8i | 0.288303 | + | 1.26314i | ||||
\(146\) | −2.41017e8 | + | 2.23631e8i | −0.530440 | + | 0.492177i | ||||
\(147\) | −2.73279e8 | + | 2.04794e7i | −0.585243 | + | 0.0438579i | ||||
\(148\) | −1.73837e8 | + | 6.82259e7i | −0.362322 | + | 0.142201i | ||||
\(149\) | 1.34745e7 | + | 8.93976e7i | 0.0273381 | + | 0.181376i | 0.998332 | − | 0.0577259i | \(-0.0183850\pi\) |
−0.970994 | + | 0.239102i | \(0.923147\pi\) | |||||||
\(150\) | −5.91778e6 | − | 2.84985e6i | −0.0116895 | − | 0.00562934i | ||||
\(151\) | 2.06953e8 | − | 4.29742e8i | 0.398074 | − | 0.826609i | −0.601540 | − | 0.798842i | \(-0.705446\pi\) |
0.999614 | − | 0.0277670i | \(-0.00883964\pi\) | |||||||
\(152\) | −5.48424e8 | + | 8.26616e7i | −1.02741 | + | 0.154857i | ||||
\(153\) | 9.34114e7 | + | 2.38008e8i | 0.170465 | + | 0.434337i | ||||
\(154\) | −1.09644e7 | − | 1.46310e8i | −0.0194941 | − | 0.260130i | ||||
\(155\) | −8.12071e7 | − | 8.75205e7i | −0.140691 | − | 0.151629i | ||||
\(156\) | −9.89409e8 | + | 2.25826e8i | −1.67062 | + | 0.381308i | ||||
\(157\) | −1.41888e8 | + | 9.41367e8i | −0.233533 | + | 1.54939i | 0.497754 | + | 0.867318i | \(0.334158\pi\) |
−0.731287 | + | 0.682070i | \(0.761080\pi\) | |||||||
\(158\) | 2.47705e8 | − | 3.63316e8i | 0.397472 | − | 0.582984i | ||||
\(159\) | −3.39625e8 | − | 1.10104e9i | −0.531388 | − | 1.72272i | ||||
\(160\) | 5.03488e7 | − | 6.71858e8i | 0.0768261 | − | 1.02517i | ||||
\(161\) | 8.48047e8 | − | 6.76295e8i | 1.26217 | − | 1.00654i | ||||
\(162\) | −2.36156e7 | + | 7.65599e7i | −0.0342877 | + | 0.111158i | ||||
\(163\) | −9.21835e8 | − | 3.61793e8i | −1.30588 | − | 0.512519i | −0.392545 | − | 0.919733i | \(-0.628405\pi\) |
−0.913333 | + | 0.407214i | \(0.866500\pi\) | |||||||
\(164\) | −1.63774e8 | + | 7.17541e8i | −0.226396 | + | 0.991908i | ||||
\(165\) | 2.78628e8 | + | 4.82598e8i | 0.375915 | + | 0.651103i | ||||
\(166\) | 1.59466e8 | + | 9.20680e7i | 0.210009 | + | 0.121249i | ||||
\(167\) | 7.53699e8 | + | 6.99330e8i | 0.969018 | + | 0.899118i | 0.994932 | − | 0.100546i | \(-0.0320591\pi\) |
−0.0259139 | + | 0.999664i | \(0.508250\pi\) | |||||||
\(168\) | −9.68769e8 | − | 7.72567e8i | −1.21614 | − | 0.969838i | ||||
\(169\) | 6.37906e8 | − | 4.34917e8i | 0.782006 | − | 0.533163i | ||||
\(170\) | 1.11469e8 | − | 5.36808e7i | 0.133463 | − | 0.0642722i | ||||
\(171\) | − | 1.58877e9i | − | 1.85813i | ||||||
\(172\) | 3.50911e8 | + | 5.81997e8i | 0.400943 | + | 0.664977i | ||||
\(173\) | −1.20892e9 | −1.34962 | −0.674812 | − | 0.737990i | \(-0.735775\pi\) | ||||
−0.674812 | + | 0.737990i | \(0.735775\pi\) | |||||||
\(174\) | 3.82027e8 | + | 7.93287e8i | 0.416771 | + | 0.865433i | ||||
\(175\) | −1.07333e7 | − | 1.57429e7i | −0.0114441 | − | 0.0167854i | ||||
\(176\) | −1.06973e8 | + | 1.34140e8i | −0.111487 | + | 0.139801i | ||||
\(177\) | 1.36392e9 | − | 1.46995e9i | 1.38961 | − | 1.49765i | ||||
\(178\) | −1.52109e8 | + | 2.63460e8i | −0.151521 | + | 0.262443i | ||||
\(179\) | 3.64641e8 | − | 2.10525e8i | 0.355184 | − | 0.205065i | −0.311782 | − | 0.950154i | \(-0.600926\pi\) |
0.666966 | + | 0.745088i | \(0.267593\pi\) | |||||||
\(180\) | 1.20392e9 | + | 2.74788e8i | 1.14686 | + | 0.261763i | ||||
\(181\) | −3.14515e8 | + | 8.01371e8i | −0.293040 | + | 0.746653i | 0.706213 | + | 0.708000i | \(0.250402\pi\) |
−0.999253 | + | 0.0386538i | \(0.987693\pi\) | |||||||
\(182\) | 8.09723e8 | + | 2.49767e8i | 0.737991 | + | 0.227640i | ||||
\(183\) | −1.63478e9 | − | 2.04995e9i | −1.45766 | − | 1.82785i | ||||
\(184\) | 1.32355e9 | + | 9.91862e7i | 1.15470 | + | 0.0865326i | ||||
\(185\) | −5.65912e8 | + | 1.74561e8i | −0.483128 | + | 0.149025i | ||||
\(186\) | −1.51653e8 | − | 1.03395e8i | −0.126707 | − | 0.0863872i | ||||
\(187\) | −1.77013e8 | − | 2.66805e7i | −0.144757 | − | 0.0218186i | ||||
\(188\) | 5.25558e7 | + | 2.30262e8i | 0.0420716 | + | 0.184328i | ||||
\(189\) | 8.69608e8 | − | 8.06879e8i | 0.681517 | − | 0.632355i | ||||
\(190\) | −7.66635e8 | + | 5.74514e7i | −0.588267 | + | 0.0440845i | ||||
\(191\) | 1.54788e9 | − | 6.07497e8i | 1.16306 | − | 0.456468i | 0.296253 | − | 0.955109i | \(-0.404263\pi\) |
0.866808 | + | 0.498641i | \(0.166168\pi\) | |||||||
\(192\) | −3.28089e7 | − | 2.17673e8i | −0.0241428 | − | 0.160177i | ||||
\(193\) | −6.33624e8 | − | 3.05137e8i | −0.456670 | − | 0.219921i | 0.191384 | − | 0.981515i | \(-0.438702\pi\) |
−0.648054 | + | 0.761595i | \(0.724417\pi\) | |||||||
\(194\) | 1.38560e8 | − | 2.87723e8i | 0.0978206 | − | 0.203127i | ||||
\(195\) | −3.18244e9 | + | 4.79675e8i | −2.20101 | + | 0.331748i | ||||
\(196\) | −1.55337e8 | − | 3.95792e8i | −0.105257 | − | 0.268190i | ||||
\(197\) | 5.71389e7 | + | 7.62466e8i | 0.0379374 | + | 0.506239i | 0.983513 | + | 0.180837i | \(0.0578806\pi\) |
−0.945576 | + | 0.325402i | \(0.894500\pi\) | |||||||
\(198\) | 3.49803e8 | + | 3.76998e8i | 0.227595 | + | 0.245289i | ||||
\(199\) | −1.13862e9 | + | 2.59882e8i | −0.726049 | + | 0.165716i | −0.569543 | − | 0.821961i | \(-0.692880\pi\) |
−0.156505 | + | 0.987677i | \(0.550023\pi\) | |||||||
\(200\) | 3.47486e6 | − | 2.30542e7i | 0.00217179 | − | 0.0144089i | ||||
\(201\) | −1.33973e9 | + | 1.96503e9i | −0.820794 | + | 1.20388i | ||||
\(202\) | 2.59392e7 | + | 8.40929e7i | 0.0155794 | + | 0.0505072i | ||||
\(203\) | −1.90874e8 | + | 2.54703e9i | −0.112399 | + | 1.49986i | ||||
\(204\) | −5.16642e8 | + | 4.12009e8i | −0.298311 | + | 0.237895i | ||||
\(205\) | −6.87971e8 | + | 2.23035e9i | −0.389542 | + | 1.26287i | ||||
\(206\) | 1.46324e9 | + | 5.74279e8i | 0.812543 | + | 0.318899i | ||||
\(207\) | −8.46043e8 | + | 3.70676e9i | −0.460799 | + | 2.01889i | ||||
\(208\) | −4.95450e8 | − | 8.58144e8i | −0.264695 | − | 0.458466i | ||||
\(209\) | 9.63327e8 | + | 5.56177e8i | 0.504880 | + | 0.291493i | ||||
\(210\) | −1.25908e9 | − | 1.16825e9i | −0.647403 | − | 0.600702i | ||||
\(211\) | −1.13367e9 | − | 9.04071e8i | −0.571948 | − | 0.456113i | 0.294310 | − | 0.955710i | \(-0.404910\pi\) |
−0.866258 | + | 0.499597i | \(0.833482\pi\) | |||||||
\(212\) | 1.47706e9 | − | 1.00704e9i | 0.731232 | − | 0.498546i | ||||
\(213\) | −5.99457e7 | + | 2.88683e7i | −0.0291232 | + | 0.0140250i | ||||
\(214\) | − | 1.39830e9i | − | 0.666725i | ||||||
\(215\) | 9.71797e8 | + | 1.92368e9i | 0.454801 | + | 0.900281i | ||||
\(216\) | 1.45157e9 | 0.666842 | ||||||||
\(217\) | −2.31020e8 | − | 4.79717e8i | −0.104186 | − | 0.216345i | ||||
\(218\) | −6.56405e8 | − | 9.62769e8i | −0.290634 | − | 0.426281i | ||||
\(219\) | 3.47223e9 | − | 4.35404e9i | 1.50950 | − | 1.89285i | ||||
\(220\) | −5.88070e8 | + | 6.33788e8i | −0.251037 | + | 0.270554i | ||||
\(221\) | 5.16936e8 | − | 8.95360e8i | 0.216704 | − | 0.375343i | ||||
\(222\) | −7.88473e8 | + | 4.55225e8i | −0.324620 | + | 0.187419i | ||||
\(223\) | 8.94632e8 | + | 2.04194e8i | 0.361764 | + | 0.0825702i | 0.399539 | − | 0.916716i | \(-0.369170\pi\) |
−0.0377756 | + | 0.999286i | \(0.512027\pi\) | |||||||
\(224\) | 1.09772e9 | − | 2.79695e9i | 0.436014 | − | 1.11095i | ||||
\(225\) | 6.38202e7 | + | 1.96859e7i | 0.0249016 | + | 0.00768114i | ||||
\(226\) | 7.97735e8 | + | 1.00033e9i | 0.305791 | + | 0.383450i | ||||
\(227\) | 3.23805e9 | + | 2.42658e8i | 1.21949 | + | 0.0913884i | 0.668879 | − | 0.743371i | \(-0.266774\pi\) |
0.550615 | + | 0.834759i | \(0.314393\pi\) | |||||||
\(228\) | 3.92374e9 | − | 1.21031e9i | 1.45198 | − | 0.447876i | ||||
\(229\) | −2.39526e9 | − | 1.63306e9i | −0.870985 | − | 0.593828i | 0.0432262 | − | 0.999065i | \(-0.486236\pi\) |
−0.914211 | + | 0.405238i | \(0.867189\pi\) | |||||||
\(230\) | 1.81923e9 | + | 2.74205e8i | 0.650095 | + | 0.0979860i | ||||
\(231\) | 5.53002e8 | + | 2.42286e9i | 0.194213 | + | 0.850903i | ||||
\(232\) | −2.29105e9 | + | 2.12578e9i | −0.790829 | + | 0.733782i | ||||
\(233\) | 3.32642e9 | − | 2.49281e8i | 1.12863 | − | 0.0845795i | 0.502704 | − | 0.864458i | \(-0.332338\pi\) |
0.625930 | + | 0.779879i | \(0.284719\pi\) | |||||||
\(234\) | −2.76490e9 | + | 1.08514e9i | −0.922179 | + | 0.361929i | ||||
\(235\) | 1.11633e8 | + | 7.40638e8i | 0.0366035 | + | 0.242848i | ||||
\(236\) | 2.80306e9 | + | 1.34988e9i | 0.903617 | + | 0.435159i | ||||
\(237\) | −3.23161e9 | + | 6.71050e9i | −1.02430 | + | 2.12697i | ||||
\(238\) | 5.45592e8 | − | 8.22348e7i | 0.170044 | − | 0.0256300i | ||||
\(239\) | 9.21116e8 | + | 2.34696e9i | 0.282308 | + | 0.719308i | 0.999743 | + | 0.0226828i | \(0.00722077\pi\) |
−0.717435 | + | 0.696625i | \(0.754684\pi\) | |||||||
\(240\) | 1.50096e8 | + | 2.00289e9i | 0.0452402 | + | 0.603689i | ||||
\(241\) | −1.07625e9 | − | 1.15993e9i | −0.319041 | − | 0.343845i | 0.553086 | − | 0.833124i | \(-0.313450\pi\) |
−0.872127 | + | 0.489280i | \(0.837260\pi\) | |||||||
\(242\) | 1.22975e9 | − | 2.80682e8i | 0.358554 | − | 0.0818376i | ||||
\(243\) | 6.14883e8 | − | 4.07948e9i | 0.176347 | − | 1.16998i | ||||
\(244\) | 2.29161e9 | − | 3.36117e9i | 0.646519 | − | 0.948269i | ||||
\(245\) | −3.97441e8 | − | 1.28847e9i | −0.110308 | − | 0.357611i | ||||
\(246\) | −2.68148e8 | + | 3.57819e9i | −0.0732209 | + | 0.977064i | ||||
\(247\) | −5.02272e9 | + | 4.00549e9i | −1.34943 | + | 1.07614i | ||||
\(248\) | 1.92038e8 | − | 6.22570e8i | 0.0507667 | − | 0.164582i | ||||
\(249\) | −2.90332e9 | − | 1.13947e9i | −0.755263 | − | 0.296419i | ||||
\(250\) | −4.07291e8 | + | 1.78446e9i | −0.104267 | + | 0.456822i | ||||
\(251\) | −2.77523e9 | − | 4.80684e9i | −0.699204 | − | 1.21106i | −0.968743 | − | 0.248068i | \(-0.920204\pi\) |
0.269539 | − | 0.962990i | \(-0.413129\pi\) | |||||||
\(252\) | 4.76934e9 | + | 2.75358e9i | 1.18265 | + | 0.682803i | ||||
\(253\) | −1.95137e9 | − | 1.81060e9i | −0.476274 | − | 0.441918i | ||||
\(254\) | −1.70469e9 | − | 1.35944e9i | −0.409553 | − | 0.326607i | ||||
\(255\) | −1.73148e9 | + | 1.18050e9i | −0.409502 | + | 0.279194i | ||||
\(256\) | 2.17232e9 | − | 1.04614e9i | 0.505784 | − | 0.243573i | ||||
\(257\) | 1.86206e9i | 0.426836i | 0.976961 | + | 0.213418i | \(0.0684597\pi\) | ||||
−0.976961 | + | 0.213418i | \(0.931540\pi\) | |||||||
\(258\) | 2.11460e9 | + | 2.55076e9i | 0.477254 | + | 0.575693i | ||||
\(259\) | −2.64111e9 | −0.586931 | ||||||||
\(260\) | −2.16654e9 | − | 4.49886e9i | −0.474103 | − | 0.984485i | ||||
\(261\) | −5.04337e9 | − | 7.39727e9i | −1.08682 | − | 1.59408i | ||||
\(262\) | −1.04566e9 | + | 1.31122e9i | −0.221915 | + | 0.278272i | ||||
\(263\) | 5.85643e9 | − | 6.31173e9i | 1.22408 | − | 1.31925i | 0.292255 | − | 0.956340i | \(-0.405594\pi\) |
0.931826 | − | 0.362905i | \(-0.118215\pi\) | |||||||
\(264\) | −1.52046e9 | + | 2.63351e9i | −0.313010 | + | 0.542150i | ||||
\(265\) | 4.90974e9 | − | 2.83464e9i | 0.995577 | − | 0.574797i | ||||
\(266\) | −3.34255e9 | − | 7.62916e8i | −0.667654 | − | 0.152388i | ||||
\(267\) | 1.88256e9 | − | 4.79668e9i | 0.370427 | − | 0.943833i | ||||
\(268\) | −3.52600e9 | − | 1.08763e9i | −0.683506 | − | 0.210834i | ||||
\(269\) | −3.24043e9 | − | 4.06337e9i | −0.618861 | − | 0.776027i | 0.369323 | − | 0.929301i | \(-0.379590\pi\) |
−0.988184 | + | 0.153274i | \(0.951018\pi\) | |||||||
\(270\) | 2.00647e9 | + | 1.50364e8i | 0.377552 | + | 0.0282936i | ||||
\(271\) | 3.02856e8 | − | 9.34186e7i | 0.0561511 | − | 0.0173203i | −0.266552 | − | 0.963820i | \(-0.585885\pi\) |
0.322703 | + | 0.946500i | \(0.395408\pi\) | |||||||
\(272\) | −5.33100e8 | − | 3.63461e8i | −0.0973942 | − | 0.0664022i | ||||
\(273\) | −1.41926e10 | − | 2.13918e9i | −2.55511 | − | 0.385121i | ||||
\(274\) | −3.58400e8 | − | 1.57025e9i | −0.0635866 | − | 0.278591i | ||||
\(275\) | −3.42777e7 | + | 3.18050e7i | −0.00599350 | + | 0.00556116i | ||||
\(276\) | −9.79899e9 | + | 7.34333e8i | −1.68867 | + | 0.126548i | ||||
\(277\) | −8.27063e9 | + | 3.24598e9i | −1.40482 | + | 0.551350i | −0.942153 | − | 0.335184i | \(-0.891201\pi\) |
−0.462664 | + | 0.886534i | \(0.653106\pi\) | |||||||
\(278\) | 1.33559e8 | + | 8.86103e8i | 0.0223611 | + | 0.148356i | ||||
\(279\) | 1.68151e9 | + | 8.09774e8i | 0.277513 | + | 0.133643i | ||||
\(280\) | 2.64527e9 | − | 5.49295e9i | 0.430365 | − | 0.893663i | ||||
\(281\) | 1.12111e10 | − | 1.68980e9i | 1.79814 | − | 0.271026i | 0.837022 | − | 0.547170i | \(-0.184295\pi\) |
0.961116 | + | 0.276144i | \(0.0890567\pi\) | |||||||
\(282\) | 4.20682e8 | + | 1.07188e9i | 0.0665207 | + | 0.169492i | ||||
\(283\) | −2.77106e8 | − | 3.69772e9i | −0.0432016 | − | 0.576485i | −0.976238 | − | 0.216702i | \(-0.930470\pi\) |
0.933036 | − | 0.359783i | \(-0.117149\pi\) | |||||||
\(284\) | −7.02137e7 | − | 7.56724e7i | −0.0107932 | − | 0.0116323i | ||||
\(285\) | 1.26953e10 | − | 2.89762e9i | 1.92426 | − | 0.439200i | ||||
\(286\) | 3.09942e8 | − | 2.05633e9i | 0.0463250 | − | 0.307347i | ||||
\(287\) | −5.86361e9 | + | 8.60033e9i | −0.864246 | + | 1.26762i | ||||
\(288\) | 3.10435e9 | + | 1.00641e10i | 0.451233 | + | 1.46286i | ||||
\(289\) | −4.70991e8 | + | 6.28494e9i | −0.0675183 | + | 0.900969i | ||||
\(290\) | −3.38706e9 | + | 2.70109e9i | −0.478885 | + | 0.381898i | ||||
\(291\) | −1.59438e9 | + | 5.16885e9i | −0.222341 | + | 0.720812i | ||||
\(292\) | 8.04312e9 | + | 3.15669e9i | 1.10635 | + | 0.434211i | ||||
\(293\) | 1.03950e9 | − | 4.55433e9i | 0.141043 | − | 0.617951i | −0.854150 | − | 0.520026i | \(-0.825922\pi\) |
0.995194 | − | 0.0979251i | \(-0.0312206\pi\) | |||||||
\(294\) | −1.03646e9 | − | 1.79520e9i | −0.138728 | − | 0.240283i | ||||
\(295\) | 8.54453e9 | + | 4.93318e9i | 1.12824 | + | 0.651387i | ||||
\(296\) | −2.36902e9 | − | 2.19813e9i | −0.308605 | − | 0.286343i | ||||
\(297\) | −2.27614e9 | − | 1.81516e9i | −0.292532 | − | 0.233287i | ||||
\(298\) | −5.65028e8 | + | 3.85229e8i | −0.0716481 | + | 0.0488488i | ||||
\(299\) | 1.38515e10 | − | 6.67054e9i | 1.73306 | − | 0.834595i | ||||
\(300\) | 1.72612e8i | 0.0213101i | ||||||||
\(301\) | 1.61265e9 | + | 9.47522e9i | 0.196460 | + | 1.15431i | ||||
\(302\) | 3.60793e9 | 0.433741 | ||||||||
\(303\) | −6.46747e8 | − | 1.34298e9i | −0.0767298 | − | 0.159331i | ||||
\(304\) | 2.25849e9 | + | 3.31259e9i | 0.264438 | + | 0.387859i | ||||
\(305\) | 8.04358e9 | − | 1.00863e10i | 0.929501 | − | 1.16556i | ||||
\(306\) | −1.31547e9 | + | 1.41774e9i | −0.150036 | + | 0.161700i | ||||
\(307\) | 4.15604e9 | − | 7.19847e9i | 0.467871 | − | 0.810376i | −0.531455 | − | 0.847087i | \(-0.678355\pi\) |
0.999326 | + | 0.0367102i | \(0.0116878\pi\) | |||||||
\(308\) | −3.33919e9 | + | 1.92788e9i | −0.371055 | + | 0.214229i | ||||
\(309\) | −2.59575e10 | − | 5.92463e9i | −2.84727 | − | 0.649871i | ||||
\(310\) | 3.29939e8 | − | 8.40671e8i | 0.0357262 | − | 0.0910288i | ||||
\(311\) | 1.30268e9 | + | 4.01824e8i | 0.139250 | + | 0.0429531i | 0.363597 | − | 0.931556i | \(-0.381549\pi\) |
−0.224347 | + | 0.974509i | \(0.572025\pi\) | |||||||
\(312\) | −1.09501e10 | − | 1.37310e10i | −1.15558 | − | 1.44905i | ||||
\(313\) | 9.66574e9 | + | 7.24347e8i | 1.00707 | + | 0.0754691i | 0.568036 | − | 0.823004i | \(-0.307703\pi\) |
0.439029 | + | 0.898473i | \(0.355322\pi\) | |||||||
\(314\) | −6.88115e9 | + | 2.12255e9i | −0.707852 | + | 0.218343i | ||||
\(315\) | 1.44301e10 | + | 9.83824e9i | 1.46563 | + | 0.999253i | ||||
\(316\) | −1.14267e10 | − | 1.72230e9i | −1.14597 | − | 0.172727i | ||||
\(317\) | 1.19138e9 | + | 5.21977e9i | 0.117981 | + | 0.516909i | 0.999036 | + | 0.0438954i | \(0.0139768\pi\) |
−0.881055 | + | 0.473014i | \(0.843166\pi\) | |||||||
\(318\) | 6.38901e9 | − | 5.92813e9i | 0.624777 | − | 0.579708i | ||||
\(319\) | 6.25075e9 | − | 4.68429e8i | 0.603628 | − | 0.0452357i | ||||
\(320\) | 1.00824e9 | − | 3.95704e8i | 0.0961530 | − | 0.0377373i | ||||
\(321\) | 3.53002e9 | + | 2.34201e10i | 0.332473 | + | 2.20582i | ||||
\(322\) | 7.39225e9 | + | 3.55992e9i | 0.687627 | + | 0.331144i | ||||
\(323\) | −1.81499e9 | + | 3.76886e9i | −0.166749 | + | 0.346258i | ||||
\(324\) | 2.08200e9 | − | 3.13810e8i | 0.188930 | − | 0.0284765i | ||||
\(325\) | −9.86639e7 | − | 2.51392e8i | −0.00884351 | − | 0.0225329i | ||||
\(326\) | −5.59781e8 | − | 7.46975e9i | −0.0495618 | − | 0.661357i | ||||
\(327\) | 1.34246e10 | + | 1.44683e10i | 1.17411 | + | 1.26539i | ||||
\(328\) | −1.24174e10 | + | 2.83419e9i | −1.07284 | + | 0.244869i | ||||
\(329\) | −4.97845e8 | + | 3.30299e9i | −0.0424924 | + | 0.281918i | ||||
\(330\) | −2.37449e9 | + | 3.48274e9i | −0.200223 | + | 0.293674i | ||||
\(331\) | 1.35558e9 | + | 4.39467e9i | 0.112931 | + | 0.366112i | 0.994341 | − | 0.106240i | \(-0.0338812\pi\) |
−0.881410 | + | 0.472352i | \(0.843405\pi\) | |||||||
\(332\) | 3.61622e8 | − | 4.82551e9i | 0.0297648 | − | 0.397183i | ||||
\(333\) | 7.23793e9 | − | 5.77205e9i | 0.588623 | − | 0.469411i | ||||
\(334\) | −2.29237e9 | + | 7.43168e9i | −0.184204 | + | 0.597175i | ||||
\(335\) | −1.08929e10 | − | 4.27515e9i | −0.864896 | − | 0.339447i | ||||
\(336\) | −1.99318e9 | + | 8.73268e9i | −0.156383 | + | 0.685157i | ||||
\(337\) | −4.92952e9 | − | 8.53818e9i | −0.382195 | − | 0.661982i | 0.609181 | − | 0.793032i | \(-0.291498\pi\) |
−0.991376 | + | 0.131050i | \(0.958165\pi\) | |||||||
\(338\) | 5.05757e9 | + | 2.91999e9i | 0.387503 | + | 0.223725i | ||||
\(339\) | −1.58866e10 | − | 1.47406e10i | −1.20290 | − | 1.11613i | ||||
\(340\) | −2.54202e9 | − | 2.02719e9i | −0.190223 | − | 0.151698i | ||||
\(341\) | −1.07964e9 | + | 7.36086e8i | −0.0798475 | + | 0.0544391i | ||||
\(342\) | 1.08276e10 | − | 5.21428e9i | 0.791455 | − | 0.381144i | ||||
\(343\) | 1.01936e10i | 0.736465i | ||||||||
\(344\) | −6.43949e9 | + | 9.84127e9i | −0.459852 | + | 0.702777i | ||||
\(345\) | −3.11625e10 | −2.19966 | ||||||||
\(346\) | −3.96763e9 | − | 8.23886e9i | −0.276838 | − | 0.574861i | ||||
\(347\) | 1.03415e10 | + | 1.51682e10i | 0.713290 | + | 1.04620i | 0.996203 | + | 0.0870588i | \(0.0277468\pi\) |
−0.282913 | + | 0.959146i | \(0.591301\pi\) | |||||||
\(348\) | 1.44268e10 | − | 1.80907e10i | 0.983680 | − | 1.23350i | ||||
\(349\) | −1.37780e10 | + | 1.48492e10i | −0.928720 | + | 1.00092i | 0.0712744 | + | 0.997457i | \(0.477293\pi\) |
−0.999994 | + | 0.00346494i | \(0.998897\pi\) | |||||||
\(350\) | 7.20625e7 | − | 1.24816e8i | 0.00480217 | − | 0.00831760i | ||||
\(351\) | 1.45613e10 | − | 8.40698e9i | 0.959339 | − | 0.553874i | ||||
\(352\) | −7.18893e9 | − | 1.64083e9i | −0.468267 | − | 0.106879i | ||||
\(353\) | −4.12366e9 | + | 1.05069e10i | −0.265573 | + | 0.676669i | −0.999998 | − | 0.00202092i | \(-0.999357\pi\) |
0.734425 | + | 0.678690i | \(0.237452\pi\) | |||||||
\(354\) | 1.44941e10 | + | 4.47085e9i | 0.922952 | + | 0.284693i | ||||
\(355\) | −2.04111e8 | − | 2.55947e8i | −0.0128515 | − | 0.0161152i | ||||
\(356\) | 7.97238e9 | + | 5.97447e8i | 0.496350 | + | 0.0371963i | ||||
\(357\) | −8.93051e9 | + | 2.75470e9i | −0.549798 | + | 0.169590i | ||||
\(358\) | 2.63148e9 | + | 1.79411e9i | 0.160202 | + | 0.109224i | ||||
\(359\) | 3.05969e10 | + | 4.61174e9i | 1.84204 | + | 0.277643i | 0.975263 | − | 0.221048i | \(-0.0709478\pi\) |
0.866780 | + | 0.498691i | \(0.166186\pi\) | |||||||
\(360\) | 4.75535e9 | + | 2.08345e10i | 0.283121 | + | 1.24043i | ||||
\(361\) | 6.60449e9 | − | 6.12808e9i | 0.388876 | − | 0.360824i | ||||
\(362\) | −6.49362e9 | + | 4.86629e8i | −0.378140 | + | 0.0283377i | ||||
\(363\) | −1.98884e10 | + | 7.80562e9i | −1.14544 | + | 0.449553i | ||||
\(364\) | −3.31897e9 | − | 2.20199e10i | −0.189059 | − | 1.25432i | ||||
\(365\) | 2.46876e10 | + | 1.18889e10i | 1.39093 | + | 0.669839i | ||||
\(366\) | 8.60526e9 | − | 1.78690e10i | 0.479556 | − | 0.995809i | ||||
\(367\) | −2.79764e10 | + | 4.21677e9i | −1.54215 | + | 0.232442i | −0.864384 | − | 0.502832i | \(-0.832291\pi\) |
−0.677770 | + | 0.735274i | \(0.737053\pi\) | |||||||
\(368\) | −3.50527e9 | − | 8.93129e9i | −0.191131 | − | 0.486993i | ||||
\(369\) | −2.72659e9 | − | 3.63838e10i | −0.147067 | − | 1.96247i | ||||
\(370\) | −3.04694e9 | − | 3.28382e9i | −0.162576 | − | 0.175216i | ||||
\(371\) | 2.46491e10 | − | 5.62599e9i | 1.30108 | − | 0.296964i | ||||
\(372\) | −7.18912e8 | + | 4.76967e9i | −0.0375408 | + | 0.249067i | ||||
\(373\) | 1.80119e10 | − | 2.64186e10i | 0.930515 | − | 1.36481i | −0.000564952 | − | 1.00000i | \(-0.500180\pi\) |
0.931080 | − | 0.364815i | \(-0.118868\pi\) | |||||||
\(374\) | −3.99122e8 | − | 1.29392e9i | −0.0203995 | − | 0.0661335i | ||||
\(375\) | 2.31684e9 | − | 3.09160e10i | 0.117158 | − | 1.56336i | ||||
\(376\) | −3.19556e9 | + | 2.54837e9i | −0.159881 | + | 0.127500i | ||||
\(377\) | −1.06707e10 | + | 3.45936e10i | −0.528235 | + | 1.71250i | ||||
\(378\) | 8.35295e9 | + | 3.27829e9i | 0.409141 | + | 0.160576i | ||||
\(379\) | −4.76237e9 | + | 2.08653e10i | −0.230816 | + | 1.01127i | 0.718149 | + | 0.695890i | \(0.244990\pi\) |
−0.948965 | + | 0.315382i | \(0.897867\pi\) | |||||||
\(380\) | 1.01017e10 | + | 1.74967e10i | 0.484463 | + | 0.839115i | ||||
\(381\) | 3.19836e10 | + | 1.84658e10i | 1.51785 | + | 0.876329i | ||||
\(382\) | 9.22020e9 | + | 8.55509e9i | 0.432999 | + | 0.401764i | ||||
\(383\) | −1.97698e10 | − | 1.57659e10i | −0.918773 | − | 0.732697i | 0.0451217 | − | 0.998981i | \(-0.485632\pi\) |
−0.963894 | + | 0.266285i | \(0.914204\pi\) | |||||||
\(384\) | −2.75876e10 | + | 1.88089e10i | −1.26879 | + | 0.865046i | ||||
\(385\) | −1.10168e10 | + | 5.30540e9i | −0.501432 | + | 0.241477i | ||||
\(386\) | − | 5.31964e9i | − | 0.239625i | ||||||
\(387\) | −2.51272e10 | − | 2.24423e10i | −1.12021 | − | 1.00052i | ||||
\(388\) | −8.39237e9 | −0.370303 | ||||||||
\(389\) | 4.14128e9 | + | 8.59945e9i | 0.180857 | + | 0.375554i | 0.971612 | − | 0.236579i | \(-0.0760261\pi\) |
−0.790755 | + | 0.612133i | \(0.790312\pi\) | |||||||
\(390\) | −1.37137e10 | − | 2.01142e10i | −0.592782 | − | 0.869451i | ||||
\(391\) | 6.24152e9 | − | 7.82662e9i | 0.267044 | − | 0.334863i | ||||
\(392\) | 5.00472e9 | − | 5.39381e9i | 0.211951 | − | 0.228429i | ||||
\(393\) | 1.42036e10 | − | 2.46013e10i | 0.595426 | − | 1.03131i | ||||
\(394\) | −5.00873e9 | + | 2.89179e9i | −0.207846 | + | 0.120000i | ||||
\(395\) | −3.57278e10 | − | 8.15465e9i | −1.46764 | − | 0.334978i | ||||
\(396\) | 4.93769e9 | − | 1.25810e10i | 0.200790 | − | 0.511606i | ||||
\(397\) | −3.49952e10 | − | 1.07946e10i | −1.40879 | − | 0.434555i | −0.505220 | − | 0.862991i | \(-0.668589\pi\) |
−0.903572 | + | 0.428436i | \(0.859065\pi\) | |||||||
\(398\) | −5.50802e9 | − | 6.90683e9i | −0.219514 | − | 0.275262i | ||||
\(399\) | 5.79102e10 | + | 4.33977e9i | 2.28488 | + | 0.171228i | ||||
\(400\) | −1.61050e8 | + | 4.96772e7i | −0.00629100 | + | 0.00194052i | ||||
\(401\) | −2.24044e10 | − | 1.52750e10i | −0.866473 | − | 0.590751i | 0.0464328 | − | 0.998921i | \(-0.485215\pi\) |
−0.912906 | + | 0.408170i | \(0.866167\pi\) | |||||||
\(402\) | −1.77888e10 | − | 2.68122e9i | −0.681148 | − | 0.102666i | ||||
\(403\) | −1.67930e9 | − | 7.35748e9i | −0.0636659 | − | 0.278939i | ||||
\(404\) | 1.69532e9 | − | 1.57302e9i | 0.0636392 | − | 0.0590486i | ||||
\(405\) | 6.65850e9 | − | 4.98986e8i | 0.247489 | − | 0.0185468i | ||||
\(406\) | −1.79846e10 | + | 7.05845e9i | −0.661908 | + | 0.259780i | ||||
\(407\) | 9.66035e8 | + | 6.40923e9i | 0.0352059 | + | 0.233576i | ||||
\(408\) | −1.03032e10 | − | 4.96175e9i | −0.371818 | − | 0.179058i | ||||
\(409\) | 1.06963e10 | − | 2.22112e10i | 0.382245 | − | 0.793740i | −0.617728 | − | 0.786392i | \(-0.711947\pi\) |
0.999973 | − | 0.00734801i | \(-0.00233897\pi\) | |||||||
\(410\) | −1.74579e10 | + | 2.63135e9i | −0.617811 | + | 0.0931200i | ||||
\(411\) | 9.96693e9 | + | 2.53953e10i | 0.349296 | + | 0.889993i | ||||
\(412\) | −3.08703e9 | − | 4.11935e10i | −0.107140 | − | 1.42968i | ||||
\(413\) | 2.99280e10 | + | 3.22547e10i | 1.02867 | + | 1.10865i | ||||
\(414\) | −2.80385e10 | + | 6.39960e9i | −0.954450 | + | 0.217847i | ||||
\(415\) | 2.28720e9 | − | 1.51746e10i | 0.0771100 | − | 0.511592i | ||||
\(416\) | 2.39900e10 | − | 3.51869e10i | 0.801045 | − | 1.17492i | ||||
\(417\) | −4.47393e9 | − | 1.45041e10i | −0.147960 | − | 0.479676i | ||||
\(418\) | −6.28780e8 | + | 8.39049e9i | −0.0205965 | + | 0.274841i | ||||
\(419\) | −2.57004e10 | + | 2.04954e10i | −0.833843 | + | 0.664968i | −0.944363 | − | 0.328906i | \(-0.893320\pi\) |
0.110519 | + | 0.993874i | \(0.464749\pi\) | |||||||
\(420\) | −1.33045e10 | + | 4.31322e10i | −0.427565 | + | 1.38613i | ||||
\(421\) | 3.21183e10 | + | 1.26055e10i | 1.02241 | + | 0.401266i | 0.816525 | − | 0.577311i | \(-0.195898\pi\) |
0.205884 | + | 0.978576i | \(0.433993\pi\) | |||||||
\(422\) | 2.44064e9 | − | 1.06932e10i | 0.0769581 | − | 0.337176i | ||||
\(423\) | −5.85423e9 | − | 1.01398e10i | −0.182856 | − | 0.316715i | ||||
\(424\) | 2.67922e10 | + | 1.54685e10i | 0.828981 | + | 0.478612i | ||||
\(425\) | −1.28905e8 | − | 1.19606e8i | −0.00395105 | − | 0.00366604i | ||||
\(426\) | −3.93479e8 | − | 3.13789e8i | −0.0119477 | − | 0.00952794i | ||||
\(427\) | 4.75364e10 | − | 3.24098e10i | 1.42993 | − | 0.974910i | ||||
\(428\) | −3.31079e10 | + | 1.59439e10i | −0.986636 | + | 0.475139i | ||||
\(429\) | 3.52238e10i | 1.03994i | ||||||||
\(430\) | −9.92057e9 | + | 1.29363e10i | −0.290177 | + | 0.378387i | ||||
\(431\) | −3.92791e10 | −1.13829 | −0.569145 | − | 0.822237i | \(-0.692726\pi\) | ||||
−0.569145 | + | 0.822237i | \(0.692726\pi\) | |||||||
\(432\) | −4.55281e9 | − | 9.45400e9i | −0.130721 | − | 0.271444i | ||||
\(433\) | 2.23572e10 | + | 3.27921e10i | 0.636014 | + | 0.932861i | 0.999999 | + | 0.00145646i | \(0.000463605\pi\) |
−0.363985 | + | 0.931405i | \(0.618584\pi\) | |||||||
\(434\) | 2.51111e9 | − | 3.14883e9i | 0.0707793 | − | 0.0887544i | ||||
\(435\) | 4.99109e10 | − | 5.37911e10i | 1.39392 | − | 1.50229i | ||||
\(436\) | −1.53111e10 | + | 2.65196e10i | −0.423702 | + | 0.733874i | ||||
\(437\) | −5.38705e10 | + | 3.11021e10i | −1.47715 | + | 0.852834i | ||||
\(438\) | 4.10688e10 | + | 9.37368e9i | 1.11587 | + | 0.254691i | ||||
\(439\) | 5.51240e9 | − | 1.40454e10i | 0.148417 | − | 0.378159i | −0.837260 | − | 0.546805i | \(-0.815844\pi\) |
0.985677 | + | 0.168645i | \(0.0539393\pi\) | |||||||
\(440\) | −1.42974e10 | − | 4.41017e9i | −0.381458 | − | 0.117664i | ||||
\(441\) | 1.31418e10 | + | 1.64794e10i | 0.347458 | + | 0.435698i | ||||
\(442\) | 7.79850e9 | + | 5.84417e8i | 0.204325 | + | 0.0153121i | ||||
\(443\) | −6.30405e9 | + | 1.94454e9i | −0.163683 | + | 0.0504897i | −0.375514 | − | 0.926817i | \(-0.622534\pi\) |
0.211830 | + | 0.977306i | \(0.432058\pi\) | |||||||
\(444\) | 1.97689e10 | + | 1.34782e10i | 0.508687 | + | 0.346817i | ||||
\(445\) | 2.50704e10 | + | 3.77875e9i | 0.639324 | + | 0.0963625i | ||||
\(446\) | 1.54455e9 | + | 6.76713e9i | 0.0390359 | + | 0.171027i | ||||
\(447\) | 8.49111e9 | − | 7.87860e9i | 0.212684 | − | 0.197342i | ||||
\(448\) | 4.81678e9 | − | 3.60968e8i | 0.119576 | − | 0.00896099i | ||||
\(449\) | −5.29043e10 | + | 2.07634e10i | −1.30168 | + | 0.510874i | −0.912044 | − | 0.410093i | \(-0.865496\pi\) |
−0.389641 | + | 0.920967i | \(0.627401\pi\) | |||||||
\(450\) | 7.52946e7 | + | 4.99547e8i | 0.00183617 | + | 0.0121822i | ||||
\(451\) | 2.30153e10 | + | 1.10836e10i | 0.556302 | + | 0.267901i | ||||
\(452\) | 1.45889e10 | − | 3.02942e10i | 0.349518 | − | 0.725781i | ||||
\(453\) | −6.04291e10 | + | 9.10823e9i | −1.43501 | + | 0.216292i | ||||
\(454\) | 8.97342e9 | + | 2.28639e10i | 0.211220 | + | 0.538179i | ||||
\(455\) | −5.27744e9 | − | 7.04226e10i | −0.123134 | − | 1.64311i | ||||
\(456\) | 4.83325e10 | + | 5.20901e10i | 1.11784 | + | 1.20475i | ||||
\(457\) | 4.81228e10 | − | 1.09837e10i | 1.10328 | − | 0.251817i | 0.368166 | − | 0.929760i | \(-0.379986\pi\) |
0.735114 | + | 0.677943i | \(0.237129\pi\) | |||||||
\(458\) | 3.26826e9 | − | 2.16835e10i | 0.0742771 | − | 0.492796i | ||||
\(459\) | 6.16735e9 | − | 9.04584e9i | 0.138947 | − | 0.203797i | ||||
\(460\) | −1.42511e10 | − | 4.62009e10i | −0.318285 | − | 1.03186i | ||||
\(461\) | −4.88511e9 | + | 6.51872e10i | −0.108161 | + | 1.44331i | 0.634129 | + | 0.773228i | \(0.281359\pi\) |
−0.742289 | + | 0.670079i | \(0.766260\pi\) | |||||||
\(462\) | −1.46970e10 | + | 1.17205e10i | −0.322598 | + | 0.257263i | ||||
\(463\) | 5.07068e9 | − | 1.64387e10i | 0.110342 | − | 0.357721i | −0.883513 | − | 0.468406i | \(-0.844828\pi\) |
0.993856 | + | 0.110685i | \(0.0353045\pi\) | |||||||
\(464\) | 2.10309e10 | + | 8.25403e9i | 0.453718 | + | 0.178071i | ||||
\(465\) | −3.40386e9 | + | 1.49133e10i | −0.0728048 | + | 0.318979i | ||||
\(466\) | 1.26160e10 | + | 2.18516e10i | 0.267534 | + | 0.463383i | ||||
\(467\) | 1.35766e10 | + | 7.83848e9i | 0.285447 | + | 0.164803i | 0.635887 | − | 0.771783i | \(-0.280635\pi\) |
−0.350440 | + | 0.936585i | \(0.613968\pi\) | |||||||
\(468\) | 5.72194e10 | + | 5.30918e10i | 1.19278 | + | 1.10674i | ||||
\(469\) | −4.08006e10 | − | 3.25374e10i | −0.843286 | − | 0.672498i | ||||
\(470\) | −4.68112e9 | + | 3.19153e9i | −0.0959309 | + | 0.0654046i | ||||
\(471\) | 1.09894e11 | − | 5.29220e10i | 2.23300 | − | 1.07536i | ||||
\(472\) | 5.38403e10i | 1.08477i | ||||||||
\(473\) | 2.24038e10 | − | 7.37920e9i | 0.447587 | − | 0.147423i | ||||
\(474\) | −5.63385e10 | −1.11607 | ||||||||
\(475\) | 4.74096e8 | + | 9.84470e8i | 0.00931304 | + | 0.0193387i | ||||
\(476\) | −8.16812e9 | − | 1.19804e10i | −0.159109 | − | 0.233370i | ||||
\(477\) | −5.52552e10 | + | 6.92878e10i | −1.06733 | + | 1.33839i | ||||
\(478\) | −1.29716e10 | + | 1.39801e10i | −0.248476 | + | 0.267793i | ||||
\(479\) | 1.35621e10 | − | 2.34903e10i | 0.257624 | − | 0.446217i | −0.707981 | − | 0.706231i | \(-0.750394\pi\) |
0.965605 | + | 0.260014i | \(0.0837272\pi\) | |||||||
\(480\) | −7.47567e10 | + | 4.31608e10i | −1.40827 | + | 0.813064i | ||||
\(481\) | −3.64955e10 | − | 8.32986e9i | −0.681803 | − | 0.155617i | ||||
\(482\) | 4.37274e9 | − | 1.11416e10i | 0.0810151 | − | 0.206423i | ||||
\(483\) | −1.32800e11 | − | 4.09632e10i | −2.44010 | − | 0.752672i | ||||
\(484\) | −2.06677e10 | − | 2.59165e10i | −0.376627 | − | 0.472276i | ||||
\(485\) | −2.65401e10 | − | 1.98891e9i | −0.479663 | − | 0.0359458i | ||||
\(486\) | 2.98200e10 | − | 9.19824e9i | 0.534518 | − | 0.164877i | ||||
\(487\) | 4.55483e10 | + | 3.10543e10i | 0.809760 | + | 0.552085i | 0.895930 | − | 0.444196i | \(-0.146511\pi\) |
−0.0861702 | + | 0.996280i | \(0.527463\pi\) | |||||||
\(488\) | 6.96132e10 | + | 1.04925e10i | 1.22747 | + | 0.185012i | ||||
\(489\) | 2.82331e10 | + | 1.23697e11i | 0.493769 | + | 2.16334i | ||||
\(490\) | 7.47663e9 | − | 6.93730e9i | 0.129695 | − | 0.120339i | ||||
\(491\) | −7.77053e10 | + | 5.82321e9i | −1.33698 | + | 0.100193i | −0.723942 | − | 0.689861i | \(-0.757672\pi\) |
−0.613037 | + | 0.790054i | \(0.710052\pi\) | |||||||
\(492\) | 8.77791e10 | − | 3.44507e10i | 1.49806 | − | 0.587947i | ||||
\(493\) | 3.51329e9 | + | 2.33092e10i | 0.0594739 | + | 0.394584i | ||||
\(494\) | −4.37820e10 | − | 2.10843e10i | −0.735171 | − | 0.354040i | ||||
\(495\) | 1.85966e10 | − | 3.86162e10i | 0.309751 | − | 0.643204i | ||||
\(496\) | −4.65709e9 | + | 7.01943e8i | −0.0769463 | + | 0.0115978i | ||||
\(497\) | −5.33380e8 | − | 1.35903e9i | −0.00874200 | − | 0.0222743i | ||||
\(498\) | −1.76303e9 | − | 2.35260e10i | −0.0286644 | − | 0.382500i | ||||
\(499\) | −4.99620e10 | − | 5.38463e10i | −0.805820 | − | 0.868467i | 0.187688 | − | 0.982229i | \(-0.439901\pi\) |
−0.993508 | + | 0.113761i | \(0.963710\pi\) | |||||||
\(500\) | 4.68951e10 | − | 1.07035e10i | 0.750321 | − | 0.171256i | ||||
\(501\) | 1.96335e10 | − | 1.30260e11i | 0.311636 | − | 2.06757i | ||||
\(502\) | 2.36507e10 | − | 3.46892e10i | 0.372417 | − | 0.546235i | ||||
\(503\) | 2.91392e10 | + | 9.44669e10i | 0.455203 | + | 1.47573i | 0.834786 | + | 0.550575i | \(0.185592\pi\) |
−0.379582 | + | 0.925158i | \(0.623932\pi\) | |||||||
\(504\) | −7.12209e9 | + | 9.50377e10i | −0.110379 | + | 1.47290i | ||||
\(505\) | 5.73408e9 | − | 4.57277e9i | 0.0881654 | − | 0.0703095i | ||||
\(506\) | 5.93507e9 | − | 1.92410e10i | 0.0905365 | − | 0.293512i | ||||
\(507\) | −9.20806e10 | − | 3.61390e10i | −1.39359 | − | 0.546945i | ||||
\(508\) | −1.27504e10 | + | 5.58630e10i | −0.191456 | + | 0.838821i | ||||
\(509\) | −2.37834e10 | − | 4.11940e10i | −0.354325 | − | 0.613709i | 0.632677 | − | 0.774416i | \(-0.281956\pi\) |
−0.987002 | + | 0.160707i | \(0.948623\pi\) | |||||||
\(510\) | −1.37278e10 | − | 7.92577e9i | −0.202918 | − | 0.117155i | ||||
\(511\) | 8.95785e10 | + | 8.31167e10i | 1.31377 | + | 1.21900i | ||||
\(512\) | −3.79008e10 | − | 3.02249e10i | −0.551530 | − | 0.439830i | ||||
\(513\) | −5.62093e10 | + | 3.83228e10i | −0.811594 | + | 0.553335i | ||||
\(514\) | −1.26901e10 | + | 6.11121e9i | −0.181807 | + | 0.0875538i | ||||
\(515\) | − | 1.31002e11i | − | 1.86230i | ||||||
\(516\) | 3.62835e10 | − | 7.91525e10i | 0.511811 | − | 1.11652i | ||||
\(517\) | 8.19752e9 | 0.114741 | ||||||||
\(518\) | −8.66801e9 | − | 1.79993e10i | −0.120393 | − | 0.249998i | ||||
\(519\) | 8.72526e10 | + | 1.27976e11i | 1.20257 | + | 1.76384i | ||||
\(520\) | 5.38774e10 | − | 6.75601e10i | 0.736873 | − | 0.924010i | ||||
\(521\) | −2.70998e10 | + | 2.92066e10i | −0.367803 | + | 0.396397i | −0.889651 | − | 0.456641i | \(-0.849052\pi\) |
0.521848 | + | 0.853038i | \(0.325243\pi\) | |||||||
\(522\) | 3.38607e10 | − | 5.86484e10i | 0.456051 | − | 0.789904i | ||||
\(523\) | 6.22984e10 | − | 3.59680e10i | 0.832665 | − | 0.480739i | −0.0220994 | − | 0.999756i | \(-0.507035\pi\) |
0.854764 | + | 0.519017i | \(0.173702\pi\) | |||||||
\(524\) | 4.29690e10 | + | 9.80738e9i | 0.569941 | + | 0.130085i | ||||
\(525\) | −8.91874e8 | + | 2.27246e9i | −0.0117400 | + | 0.0299129i | ||||
\(526\) | 6.22354e10 | + | 1.91971e10i | 0.813008 | + | 0.250780i | ||||
\(527\) | −3.06379e9 | − | 3.84187e9i | −0.0397207 | − | 0.0498082i | ||||
\(528\) | 2.19208e10 | + | 1.64274e9i | 0.282047 | + | 0.0211365i | ||||
\(529\) | 6.74158e10 | − | 2.07950e10i | 0.860873 | − | 0.265544i | ||||
\(530\) | 3.54318e10 | + | 2.41570e10i | 0.449045 | + | 0.306154i | ||||
\(531\) | −1.52509e11 | − | 2.29870e10i | −1.91830 | − | 0.289138i | ||||
\(532\) | 2.00492e10 | + | 8.78413e10i | 0.250294 | + | 1.09661i | ||||
\(533\) | −1.08150e11 | + | 1.00348e11i | −1.34003 | + | 1.24337i | ||||
\(534\) | 3.88681e10 | − | 2.91276e9i | 0.478001 | − | 0.0358212i | ||||
\(535\) | −1.08479e11 | + | 4.25750e10i | −1.32414 | + | 0.519685i | ||||
\(536\) | −9.51726e9 | − | 6.31429e10i | −0.115306 | − | 0.765006i | ||||
\(537\) | −4.86038e10 | − | 2.34064e10i | −0.584485 | − | 0.281473i | ||||
\(538\) | 1.70572e10 | − | 3.54195e10i | 0.203600 | − | 0.422779i | ||||
\(539\) | −1.45926e10 | + | 2.19947e9i | −0.172893 | + | 0.0260594i | ||||
\(540\) | −1.93182e10 | − | 4.92221e10i | −0.227192 | − | 0.578875i | ||||
\(541\) | −1.14291e9 | − | 1.52511e10i | −0.0133421 | − | 0.178038i | −0.999894 | − | 0.0145872i | \(-0.995357\pi\) |
0.986552 | − | 0.163451i | \(-0.0522625\pi\) | |||||||
\(542\) | 1.63061e9 | + | 1.75738e9i | 0.0188953 | + | 0.0203643i | ||||
\(543\) | 1.07533e11 | − | 2.45437e10i | 1.23692 | − | 0.282319i | ||||
\(544\) | 4.13293e9 | − | 2.74202e10i | 0.0471913 | − | 0.313094i | ||||
\(545\) | −5.47050e10 | + | 8.02375e10i | −0.620070 | + | 0.909476i | ||||
\(546\) | −3.20008e10 | − | 1.03744e11i | −0.360072 | − | 1.16733i | ||||
\(547\) | 1.12693e10 | − | 1.50379e11i | 0.125878 | − | 1.67972i | −0.474693 | − | 0.880151i | \(-0.657441\pi\) |
0.600571 | − | 0.799571i | \(-0.294940\pi\) | |||||||
\(548\) | −3.30926e10 | + | 2.63905e10i | −0.366951 | + | 0.292634i | ||||
\(549\) | −5.94425e10 | + | 1.92708e11i | −0.654346 | + | 2.12134i | ||||
\(550\) | −3.29252e8 | − | 1.29222e8i | −0.00359813 | − | 0.00141216i | ||||
\(551\) | 3.25938e10 | − | 1.42803e11i | 0.353613 | − | 1.54928i | ||||
\(552\) | −8.50260e10 | − | 1.47269e11i | −0.915789 | − | 1.58619i | ||||
\(553\) | −1.41536e11 | − | 8.17156e10i | −1.51344 | − | 0.873785i | ||||
\(554\) | −4.92655e10 | − | 4.57117e10i | −0.523002 | − | 0.485275i | ||||
\(555\) | 5.93232e10 | + | 4.73086e10i | 0.625248 | + | 0.498619i | ||||
\(556\) | 1.94576e10 | − | 1.32659e10i | 0.203605 | − | 0.138816i | ||||
\(557\) | 1.89482e10 | − | 9.12499e9i | 0.196856 | − | 0.0948008i | −0.332859 | − | 0.942977i | \(-0.608013\pi\) |
0.529715 | + | 0.848176i | \(0.322299\pi\) | |||||||
\(558\) | 1.41173e10i | 0.145618i | ||||||||
\(559\) | −7.60010e9 | + | 1.36017e11i | −0.0778345 | + | 1.39298i | ||||
\(560\) | −4.40721e10 | −0.448138 | ||||||||
\(561\) | 9.95138e9 | + | 2.06643e10i | 0.100469 | + | 0.208626i | ||||
\(562\) | 4.83105e10 | + | 7.08585e10i | 0.484280 | + | 0.710308i | ||||
\(563\) | 5.91604e10 | − | 7.41848e10i | 0.588840 | − | 0.738382i | −0.394752 | − | 0.918788i | \(-0.629170\pi\) |
0.983592 | + | 0.180405i | \(0.0577410\pi\) | |||||||
\(564\) | 2.05823e10 | − | 2.21825e10i | 0.203413 | − | 0.219227i | ||||
\(565\) | 5.33156e10 | − | 9.23453e10i | 0.523191 | − | 0.906194i | ||||
\(566\) | 2.42907e10 | − | 1.40243e10i | 0.236687 | − | 0.136652i | ||||
\(567\) | 2.90312e10 | + | 6.62619e9i | 0.280888 | + | 0.0641109i | ||||
\(568\) | 6.52658e8 | − | 1.66294e9i | 0.00627035 | − | 0.0159766i | ||||
\(569\) | −3.68579e10 | − | 1.13692e10i | −0.351626 | − | 0.108462i | 0.113910 | − | 0.993491i | \(-0.463662\pi\) |
−0.465536 | + | 0.885029i | \(0.654139\pi\) | |||||||
\(570\) | 6.14130e10 | + | 7.70094e10i | 0.581783 | + | 0.729532i | ||||
\(571\) | −3.80866e10 | − | 2.85420e9i | −0.358285 | − | 0.0268497i | −0.105628 | − | 0.994406i | \(-0.533685\pi\) |
−0.252657 | + | 0.967556i | \(0.581304\pi\) | |||||||
\(572\) | −5.22222e10 | + | 1.61084e10i | −0.487832 | + | 0.150476i | ||||
\(573\) | −1.76026e11 | − | 1.20013e11i | −1.63290 | − | 1.11329i | ||||
\(574\) | −7.78559e10 | − | 1.17349e10i | −0.717206 | − | 0.108101i | ||||
\(575\) | −5.81868e8 | − | 2.54933e9i | −0.00532296 | − | 0.0233214i | ||||
\(576\) | −1.24114e10 | + | 1.15161e10i | −0.112754 | + | 0.104621i | ||||
\(577\) | −1.96722e11 | + | 1.47423e10i | −1.77480 | + | 0.133003i | −0.921490 | − | 0.388402i | \(-0.873027\pi\) |
−0.853309 | + | 0.521405i | \(0.825408\pi\) | |||||||
\(578\) | −4.43780e10 | + | 1.74171e10i | −0.397610 | + | 0.156050i | ||||
\(579\) | 1.34294e10 | + | 8.90984e10i | 0.119493 | + | 0.792785i | ||||
\(580\) | 1.02575e11 | + | 4.93974e10i | 0.906418 | + | 0.436508i | ||||
\(581\) | 2.96939e10 | − | 6.16601e10i | 0.260593 | − | 0.541128i | ||||
\(582\) | −4.04587e10 | + | 6.09817e9i | −0.352631 | + | 0.0531505i | ||||
\(583\) | −2.26686e10 | − | 5.77586e10i | −0.196223 | − | 0.499968i | ||||
\(584\) | 1.11741e10 | + | 1.49108e11i | 0.0960644 | + | 1.28189i | ||||
\(585\) | 1.68369e11 | + | 1.81459e11i | 1.43760 | + | 1.54937i | ||||
\(586\) | 3.44496e10 | − | 7.86291e9i | 0.292142 | − | 0.0666795i | ||||
\(587\) | −1.39913e10 | + | 9.28263e10i | −0.117844 | + | 0.781842i | 0.849355 | + | 0.527822i | \(0.176991\pi\) |
−0.967199 | + | 0.254020i | \(0.918247\pi\) | |||||||
\(588\) | −3.06872e10 | + | 4.50099e10i | −0.256713 | + | 0.376529i | ||||
\(589\) | 9.00017e9 | + | 2.91778e10i | 0.0747807 | + | 0.242433i | ||||
\(590\) | −5.57716e9 | + | 7.44220e10i | −0.0460262 | + | 0.614177i | ||||
\(591\) | 7.65907e10 | − | 6.10790e10i | 0.627807 | − | 0.500659i | ||||
\(592\) | −6.88596e9 | + | 2.23237e10i | −0.0560631 | + | 0.181752i | ||||
\(593\) | −1.44360e11 | − | 5.66571e10i | −1.16742 | − | 0.458180i | −0.299121 | − | 0.954215i | \(-0.596693\pi\) |
−0.868302 | + | 0.496036i | \(0.834789\pi\) | |||||||
\(594\) | 4.90024e9 | − | 2.14694e10i | 0.0393615 | − | 0.172454i | ||||
\(595\) | −2.29917e10 | − | 3.98228e10i | −0.183444 | − | 0.317734i | ||||
\(596\) | 1.55638e10 | + | 8.98575e9i | 0.123347 | + | 0.0712147i | ||||
\(597\) | 1.09690e11 | + | 1.01777e11i | 0.863513 | + | 0.801223i | ||||
\(598\) | 9.09203e10 | + | 7.25065e10i | 0.710978 | + | 0.566986i | ||||
\(599\) | 6.14392e10 | − | 4.18886e10i | 0.477242 | − | 0.325378i | −0.300695 | − | 0.953720i | \(-0.597219\pi\) |
0.777937 | + | 0.628342i | \(0.216266\pi\) | |||||||
\(600\) | −2.69131e9 | + | 1.29607e9i | −0.0207663 | + | 0.0100005i | ||||
\(601\) | 6.10249e9i | 0.0467745i | 0.999726 | + | 0.0233872i | \(0.00744507\pi\) | ||||
−0.999726 | + | 0.0233872i | \(0.992555\pi\) | |||||||
\(602\) | −5.92815e10 | + | 4.20876e10i | −0.451371 | + | 0.320456i | ||||
\(603\) | 1.82923e11 | 1.38356 | ||||||||
\(604\) | −4.11389e10 | − | 8.54257e10i | −0.309104 | − | 0.641861i | ||||
\(605\) | −5.92180e10 | − | 8.68568e10i | −0.442010 | − | 0.648310i | ||||
\(606\) | 7.02992e9 | − | 8.81525e9i | 0.0521267 | − | 0.0653648i | ||||
\(607\) | −1.18301e11 | + | 1.27498e11i | −0.871429 | + | 0.939178i | −0.998610 | − | 0.0527020i | \(-0.983217\pi\) |
0.127181 | + | 0.991880i | \(0.459407\pi\) | |||||||
\(608\) | −8.61544e10 | + | 1.49224e11i | −0.630468 | + | 1.09200i | ||||
\(609\) | 2.83405e11 | − | 1.63624e11i | 2.06034 | − | 1.18954i | ||||
\(610\) | 9.51377e10 | + | 2.17146e10i | 0.687121 | + | 0.156831i | ||||
\(611\) | −1.72967e10 | + | 4.40714e10i | −0.124108 | + | 0.316222i | ||||
\(612\) | 4.85675e10 | + | 1.49811e10i | 0.346210 | + | 0.106792i | ||||
\(613\) | 2.10614e10 | + | 2.64101e10i | 0.149157 | + | 0.187037i | 0.850797 | − | 0.525495i | \(-0.176120\pi\) |
−0.701640 | + | 0.712532i | \(0.747548\pi\) | |||||||
\(614\) | 6.26980e10 | + | 4.69857e9i | 0.441144 | + | 0.0330592i | ||||
\(615\) | 2.85758e11 | − | 8.81447e10i | 1.99755 | − | 0.616163i | ||||
\(616\) | −5.51315e10 | − | 3.75881e10i | −0.382893 | − | 0.261052i | ||||
\(617\) | 1.43564e11 | + | 2.16387e10i | 0.990612 | + | 0.149311i | 0.624303 | − | 0.781182i | \(-0.285383\pi\) |
0.366309 | + | 0.930493i | \(0.380621\pi\) | |||||||
\(618\) | −4.48148e10 | − | 1.96346e11i | −0.307233 | − | 1.34607i | ||||
\(619\) | 9.17916e9 | − | 8.51702e9i | 0.0625231 | − | 0.0580130i | −0.648292 | − | 0.761391i | \(-0.724517\pi\) |
0.710816 | + | 0.703378i | \(0.248326\pi\) | |||||||
\(620\) | −2.36668e10 | + | 1.77358e9i | −0.160167 | + | 0.0120028i | ||||
\(621\) | 1.51550e11 | − | 5.94788e10i | 1.01903 | − | 0.399941i | ||||
\(622\) | 1.53689e9 | + | 1.01966e10i | 0.0102679 | + | 0.0681232i | ||||
\(623\) | 1.01871e11 | + | 4.90583e10i | 0.676234 | + | 0.325657i | ||||
\(624\) | −5.50844e10 | + | 1.14384e11i | −0.363321 | + | 0.754444i | ||||
\(625\) | 1.53456e11 | − | 2.31298e10i | 1.00569 | − | 0.151583i | ||||
\(626\) | 2.67861e10 | + | 6.82499e10i | 0.174426 | + | 0.444431i | ||||
\(627\) | −1.06504e10 | − | 1.42119e11i | −0.0689119 | − | 0.919566i | ||||
\(628\) | 1.28717e11 | + | 1.38724e11i | 0.827558 | + | 0.891895i | ||||
\(629\) | −2.37636e10 | + | 5.42389e9i | −0.151813 | + | 0.0346504i | ||||
\(630\) | −1.96894e10 | + | 1.30630e11i | −0.124988 | + | 0.829244i | ||||
\(631\) | −6.35124e10 | + | 9.31556e10i | −0.400628 | + | 0.587613i | −0.972550 | − | 0.232695i | \(-0.925246\pi\) |
0.571922 | + | 0.820308i | \(0.306198\pi\) | |||||||
\(632\) | −5.89448e10 | − | 1.91094e11i | −0.369468 | − | 1.19779i | ||||
\(633\) | −1.38834e10 | + | 1.85261e11i | −0.0864729 | + | 1.15390i | ||||
\(634\) | −3.16630e10 | + | 2.52504e10i | −0.195972 | + | 0.156283i | ||||
\(635\) | −5.35609e10 | + | 1.73640e11i | −0.329422 | + | 1.06796i | ||||
\(636\) | −2.13211e11 | − | 8.36792e10i | −1.30311 | − | 0.511433i | ||||
\(637\) | 1.89655e10 | − | 8.30931e10i | 0.115188 | − | 0.504670i | ||||
\(638\) | 2.37071e10 | + | 4.10619e10i | 0.143086 | + | 0.247831i | ||||
\(639\) | 4.43184e9 | + | 2.55872e9i | 0.0265815 | + | 0.0153469i | ||||
\(640\) | −1.20429e11 | − | 1.11742e11i | −0.717816 | − | 0.666036i | ||||
\(641\) | 1.35319e11 | + | 1.07914e11i | 0.801545 | + | 0.639211i | 0.936115 | − | 0.351693i | \(-0.114394\pi\) |
−0.134570 | + | 0.990904i | \(0.542965\pi\) | |||||||
\(642\) | −1.48024e11 | + | 1.00921e11i | −0.871351 | + | 0.594077i | ||||
\(643\) | −1.06912e11 | + | 5.14862e10i | −0.625436 | + | 0.301194i | −0.719628 | − | 0.694360i | \(-0.755688\pi\) |
0.0941916 | + | 0.995554i | \(0.469973\pi\) | |||||||
\(644\) | − | 2.15619e11i | − | 1.25356i | ||||||
\(645\) | 1.33502e11 | − | 2.41714e11i | 0.771343 | − | 1.39657i | ||||
\(646\) | −3.16417e10 | −0.181689 | ||||||||
\(647\) | 2.76338e10 | + | 5.73822e10i | 0.157697 | + | 0.327461i | 0.964815 | − | 0.262929i | \(-0.0846884\pi\) |
−0.807118 | + | 0.590390i | \(0.798974\pi\) | |||||||
\(648\) | 2.05257e10 | + | 3.01056e10i | 0.116412 | + | 0.170745i | ||||
\(649\) | 6.73264e10 | − | 8.44246e10i | 0.379495 | − | 0.475872i | ||||
\(650\) | 1.38944e9 | − | 1.49746e9i | 0.00778370 | − | 0.00838883i | ||||
\(651\) | −3.41092e10 | + | 5.90789e10i | −0.189910 | + | 0.328934i | ||||
\(652\) | −1.70480e11 | + | 9.84267e10i | −0.943372 | + | 0.544656i | ||||
\(653\) | −4.08696e10 | − | 9.32823e9i | −0.224775 | − | 0.0513034i | 0.108650 | − | 0.994080i | \(-0.465347\pi\) |
−0.333425 | + | 0.942777i | \(0.608204\pi\) | |||||||
\(654\) | −5.45432e10 | + | 1.38974e11i | −0.298147 | + | 0.759665i | ||||
\(655\) | 1.33561e11 | + | 4.11982e10i | 0.725630 | + | 0.223827i | ||||
\(656\) | 5.74058e10 | + | 7.19846e10i | 0.309985 | + | 0.388709i | ||||
\(657\) | −4.27138e11 | − | 3.20096e10i | −2.29249 | − | 0.171798i | ||||
\(658\) | −2.41440e10 | + | 7.44743e9i | −0.128797 | + | 0.0397286i | ||||
\(659\) | −4.93051e10 | − | 3.36156e10i | −0.261427 | − | 0.178238i | 0.425513 | − | 0.904952i | \(-0.360094\pi\) |
−0.686939 | + | 0.726715i | \(0.741046\pi\) | |||||||
\(660\) | 1.09536e11 | + | 1.65099e10i | 0.577274 | + | 0.0870100i | ||||
\(661\) | −1.74769e9 | − | 7.65712e9i | −0.00915499 | − | 0.0401107i | 0.970144 | − | 0.242529i | \(-0.0779770\pi\) |
−0.979299 | + | 0.202419i | \(0.935120\pi\) | |||||||
\(662\) | −2.55010e10 | + | 2.36615e10i | −0.132778 | + | 0.123200i | ||||
\(663\) | −1.32092e11 | + | 9.89894e9i | −0.683633 | + | 0.0512312i | ||||
\(664\) | 7.79533e10 | − | 3.05944e10i | 0.401016 | − | 0.157387i | ||||
\(665\) | 4.25863e10 | + | 2.82542e11i | 0.217763 | + | 1.44476i | ||||
\(666\) | 6.30915e10 | + | 3.03833e10i | 0.320682 | + | 0.154432i | ||||
\(667\) | −1.52089e11 | + | 3.15817e11i | −0.768414 | + | 1.59563i | ||||
\(668\) | 2.02100e11 | − | 3.04616e10i | 1.01499 | − | 0.152985i | ||||
\(669\) | −4.29533e10 | − | 1.09443e11i | −0.214433 | − | 0.546367i | ||||
\(670\) | −6.61467e9 | − | 8.82666e10i | −0.0328253 | − | 0.438023i | ||||
\(671\) | −9.60368e10 | − | 1.03503e11i | −0.473748 | − | 0.510579i | ||||
\(672\) | −3.75312e11 | + | 8.56626e10i | −1.84041 | + | 0.420063i | ||||
\(673\) | 3.92428e10 | − | 2.60359e11i | 0.191293 | − | 1.26915i | −0.662709 | − | 0.748877i | \(-0.730593\pi\) |
0.854002 | − | 0.520270i | \(-0.174169\pi\) | |||||||
\(674\) | 4.20098e10 | − | 6.16170e10i | 0.203569 | − | 0.298580i | ||||
\(675\) | −8.42942e8 | − | 2.73275e9i | −0.00406053 | − | 0.0131639i | ||||
\(676\) | 1.14691e10 | − | 1.53044e11i | 0.0549213 | − | 0.732874i | ||||
\(677\) | 1.95610e10 | − | 1.55994e10i | 0.0931184 | − | 0.0742595i | −0.575824 | − | 0.817574i | \(-0.695319\pi\) |
0.668942 | + | 0.743314i | \(0.266747\pi\) | |||||||
\(678\) | 4.83188e10 | − | 1.56646e11i | 0.228664 | − | 0.741311i | ||||
\(679\) | −1.10487e11 | − | 4.33629e10i | −0.519794 | − | 0.204004i | ||||
\(680\) | 1.25205e10 | − | 5.48559e10i | 0.0585579 | − | 0.256559i | ||||
\(681\) | −2.08015e11 | − | 3.60293e11i | −0.967179 | − | 1.67520i | ||||
\(682\) | −8.55981e9 | − | 4.94201e9i | −0.0395664 | − | 0.0228437i | ||||
\(683\) | −7.00276e10 | − | 6.49761e10i | −0.321800 | − | 0.298587i | 0.502686 | − | 0.864469i | \(-0.332345\pi\) |
−0.824486 | + | 0.565882i | \(0.808536\pi\) | |||||||
\(684\) | −2.46919e11 | − | 1.96911e11i | −1.12805 | − | 0.899593i | ||||
\(685\) | −1.10907e11 | + | 7.56149e10i | −0.503727 | + | 0.343435i | ||||
\(686\) | −6.94702e10 | + | 3.34551e10i | −0.313691 | + | 0.151066i | ||||
\(687\) | 3.71427e11i | 1.66742i | ||||||||
\(688\) | 8.42930e10 | + | 1.10732e10i | 0.376216 | + | 0.0494219i | ||||
\(689\) | 3.58351e11 | 1.59013 | ||||||||
\(690\) | −1.02274e11 | − | 2.12374e11i | −0.451200 | − | 0.936926i | ||||
\(691\) | 7.13363e10 | + | 1.04631e11i | 0.312895 | + | 0.458933i | 0.950183 | − | 0.311693i | \(-0.100896\pi\) |
−0.637288 | + | 0.770626i | \(0.719944\pi\) | |||||||
\(692\) | −1.49833e11 | + | 1.87885e11i | −0.653406 | + | 0.819345i | ||||
\(693\) | 1.30011e11 | − | 1.40118e11i | 0.563699 | − | 0.607523i | ||||
\(694\) | −6.94319e10 | + | 1.20260e11i | −0.299310 | + | 0.518420i | ||||
\(695\) | 6.46767e10 | − | 3.73411e10i | 0.277210 | − | 0.160047i | ||||
\(696\) | 3.90390e11 | + | 8.91039e10i | 1.66365 | + | 0.379717i | ||||
\(697\) | −3.50964e10 | + | 8.94241e10i | −0.148707 | + | 0.378899i | ||||
\(698\) | −1.46417e11 | − | 4.51636e10i | −0.616835 | − | 0.190269i | ||||
\(699\) | −2.66470e11 | − | 3.34143e11i | −1.11619 | − | 1.39966i | ||||
\(700\) | −3.77697e9 | − | 2.83045e8i | −0.0157308 | − | 0.00117886i | ||||
\(701\) | 1.05054e10 | − | 3.24047e9i | 0.0435049 | − | 0.0134195i | −0.272926 | − | 0.962035i | \(-0.587992\pi\) |
0.316431 | + | 0.948615i | \(0.397515\pi\) | |||||||
\(702\) | 1.05084e11 | + | 7.16449e10i | 0.432700 | + | 0.295010i | ||||
\(703\) | 1.49769e11 | + | 2.25740e10i | 0.613197 | + | 0.0924246i | ||||
\(704\) | −2.63780e9 | − | 1.15569e10i | −0.0107387 | − | 0.0470492i | ||||
\(705\) | 7.03469e10 | − | 6.52724e10i | 0.284766 | − | 0.264224i | ||||
\(706\) | −8.51390e10 | + | 6.38028e9i | −0.342696 | + | 0.0256815i | ||||
\(707\) | 3.04468e10 | − | 1.19495e10i | 0.121861 | − | 0.0478269i | ||||
\(708\) | −5.94098e10 | − | 3.94158e11i | −0.236442 | − | 1.56869i | ||||
\(709\) | 7.87910e10 | + | 3.79437e10i | 0.311811 | + | 0.150160i | 0.583244 | − | 0.812297i | \(-0.301783\pi\) |
−0.271433 | + | 0.962457i | \(0.587497\pi\) | |||||||
\(710\) | 1.07441e9 | − | 2.23104e9i | 0.00422802 | − | 0.00877958i | ||||
\(711\) | 5.66464e11 | − | 8.53807e10i | 2.21663 | − | 0.334104i | ||||
\(712\) | 5.05460e10 | + | 1.28789e11i | 0.196683 | + | 0.501140i | ||||
\(713\) | −5.46067e9 | − | 7.28676e10i | −0.0211294 | − | 0.281953i | ||||
\(714\) | −4.80830e10 | − | 5.18212e10i | −0.185012 | − | 0.199395i | ||||
\(715\) | −1.68966e11 | + | 3.85653e10i | −0.646508 | + | 0.147561i | ||||
\(716\) | 1.24745e10 | − | 8.27632e10i | 0.0474649 | − | 0.314909i | ||||
\(717\) | 1.81969e11 | − | 2.66899e11i | 0.688526 | − | 1.00988i | ||||
\(718\) | 6.89886e10 | + | 2.23655e11i | 0.259585 | + | 0.841553i | ||||
\(719\) | 1.04028e10 | − | 1.38815e11i | 0.0389254 | − | 0.519423i | −0.943328 | − | 0.331863i | \(-0.892323\pi\) |
0.982253 | − | 0.187560i | \(-0.0600580\pi\) | |||||||
\(720\) | 1.20779e11 | − | 9.63182e10i | 0.449430 | − | 0.358409i | ||||
\(721\) | 1.72203e11 | − | 5.58269e11i | 0.637236 | − | 2.06587i | ||||
\(722\) | 6.34389e10 | + | 2.48979e10i | 0.233457 | + | 0.0916251i | ||||
\(723\) | −4.51120e10 | + | 1.97649e11i | −0.165097 | + | 0.723337i | ||||
\(724\) | 8.55644e10 | + | 1.48202e11i | 0.311415 | + | 0.539386i | ||||
\(725\) | 5.33247e9 | + | 3.07870e9i | 0.0193009 | + | 0.0111434i | ||||
\(726\) | −1.18469e11 | − | 1.09923e11i | −0.426440 | − | 0.395678i | ||||
\(727\) | −1.85182e9 | − | 1.47678e9i | −0.00662919 | − | 0.00528660i | 0.620170 | − | 0.784468i | \(-0.287064\pi\) |
−0.626799 | + | 0.779181i | \(0.715635\pi\) | |||||||
\(728\) | 3.18407e11 | − | 2.17087e11i | 1.13359 | − | 0.772872i | ||||
\(729\) | −4.13621e11 | + | 1.99189e11i | −1.46451 | + | 0.705270i | ||||
\(730\) | 2.07266e11i | 0.729856i | ||||||||
\(731\) | 3.39687e10 | + | 8.19424e10i | 0.118962 | + | 0.286972i | ||||
\(732\) | −5.21208e11 | −1.81538 | ||||||||
\(733\) | 1.69407e11 | + | 3.51777e11i | 0.586833 | + | 1.21857i | 0.957130 | + | 0.289658i | \(0.0935417\pi\) |
−0.370297 | + | 0.928914i | \(0.620744\pi\) | |||||||
\(734\) | −1.20555e11 | − | 1.76822e11i | −0.415337 | − | 0.609188i | ||||
\(735\) | −1.07713e11 | + | 1.35067e11i | −0.369077 | + | 0.462808i | ||||
\(736\) | 2.80471e11 | − | 3.02276e11i | 0.955822 | − | 1.03013i | ||||
\(737\) | −6.40355e10 | + | 1.10913e11i | −0.217046 | + | 0.375934i | ||||
\(738\) | 2.39010e11 | − | 1.37992e11i | 0.805731 | − | 0.465189i | ||||
\(739\) | −1.88963e11 | − | 4.31295e10i | −0.633575 | − | 0.144609i | −0.106341 | − | 0.994330i | \(-0.533914\pi\) |
−0.527234 | + | 0.849720i | \(0.676771\pi\) | |||||||
\(740\) | −4.30095e10 | + | 1.09586e11i | −0.143429 | + | 0.365451i | ||||
\(741\) | 7.86531e11 | + | 2.42613e11i | 2.60881 | + | 0.804713i | ||||
\(742\) | 1.19239e11 | + | 1.49521e11i | 0.393371 | + | 0.493272i | ||||
\(743\) | −3.40575e11 | − | 2.55226e10i | −1.11753 | − | 0.0837469i | −0.496866 | − | 0.867827i | \(-0.665516\pi\) |
−0.620659 | + | 0.784080i | \(0.713135\pi\) | |||||||
\(744\) | −7.97654e10 | + | 2.46044e10i | −0.260329 | + | 0.0803009i | ||||
\(745\) | 4.70896e10 | + | 3.21051e10i | 0.152862 | + | 0.104220i | ||||
\(746\) | 2.39158e11 | + | 3.60473e10i | 0.772201 | + | 0.116391i | ||||
\(747\) | 5.33802e10 | + | 2.33874e11i | 0.171434 | + | 0.751103i | ||||
\(748\) | −2.60855e10 | + | 2.42038e10i | −0.0833284 | + | 0.0773174i | ||||
\(749\) | −5.18252e11 | + | 3.88377e10i | −1.64670 | + | 0.123403i | ||||
\(750\) | 2.18299e11 | − | 8.56759e10i | 0.689931 | − | 0.270778i | ||||
\(751\) | −8.35204e10 | − | 5.54122e11i | −0.262563 | − | 1.74199i | −0.599421 | − | 0.800434i | \(-0.704603\pi\) |
0.336859 | − | 0.941555i | \(-0.390636\pi\) | |||||||
\(752\) | 2.66202e10 | + | 1.28196e10i | 0.0832416 | + | 0.0400870i | ||||
\(753\) | −3.08552e11 | + | 6.40715e11i | −0.959728 | + | 1.99290i | ||||
\(754\) | −2.70778e11 | + | 4.08132e10i | −0.837776 | + | 0.126274i | ||||
\(755\) | −1.09853e11 | − | 2.79901e11i | −0.338084 | − | 0.861423i | ||||
\(756\) | −1.76224e10 | − | 2.35155e11i | −0.0539483 | − | 0.719890i | ||||
\(757\) | −2.78181e11 | − | 2.99808e11i | −0.847119 | − | 0.912978i | 0.150011 | − | 0.988684i | \(-0.452069\pi\) |
−0.997130 | + | 0.0757068i | \(0.975879\pi\) | |||||||
\(758\) | −1.57828e11 | + | 3.60233e10i | −0.478088 | + | 0.109120i | ||||
\(759\) | −5.08323e10 | + | 3.37250e11i | −0.153170 | + | 1.01621i | ||||
\(760\) | −1.96954e11 | + | 2.88879e11i | −0.590351 | + | 0.865886i | ||||
\(761\) | 1.45406e11 | + | 4.71396e11i | 0.433556 | + | 1.40555i | 0.864253 | + | 0.503057i | \(0.167791\pi\) |
−0.430698 | + | 0.902496i | \(0.641732\pi\) | |||||||
\(762\) | −2.08763e10 | + | 2.78574e11i | −0.0619203 | + | 0.826269i | ||||
\(763\) | −3.38599e11 | + | 2.70024e11i | −0.999050 | + | 0.796716i | ||||
\(764\) | 9.74288e10 | − | 3.15856e11i | 0.285966 | − | 0.927078i | ||||
\(765\) | 1.50040e11 | + | 5.88864e10i | 0.438088 | + | 0.171937i | ||||
\(766\) | 4.25619e10 | − | 1.86476e11i | 0.123625 | − | 0.541636i | ||||
\(767\) | 3.11823e11 | + | 5.40094e11i | 0.901005 | + | 1.56059i | ||||
\(768\) | −2.67529e11 | − | 1.54458e11i | −0.769000 | − | 0.443983i | ||||
\(769\) | −2.35308e11 | − | 2.18334e11i | −0.672869 | − | 0.624332i | 0.267873 | − | 0.963454i | \(-0.413679\pi\) |
−0.940742 | + | 0.339123i | \(0.889870\pi\) | |||||||
\(770\) | −7.23133e10 | − | 5.76679e10i | −0.205710 | − | 0.164048i | ||||
\(771\) | 1.97118e11 | − | 1.34393e11i | 0.557838 | − | 0.380327i | ||||
\(772\) | −1.25954e11 | + | 6.06563e10i | −0.354603 | + | 0.170768i | ||||
\(773\) | − | 1.17061e11i | − | 0.327864i | −0.986472 | − | 0.163932i | \(-0.947582\pi\) | ||
0.986472 | − | 0.163932i | \(-0.0524178\pi\) | |||||||
\(774\) | 7.04793e10 | − | 2.44899e11i | 0.196380 | − | 0.682374i | ||||
\(775\) | −1.28358e9 | −0.00355808 | ||||||||
\(776\) | −6.30148e10 | − | 1.30851e11i | −0.173778 | − | 0.360854i | ||||
\(777\) | 1.90619e11 | + | 2.79587e11i | 0.522978 | + | 0.767067i | ||||
\(778\) | −4.50143e10 | + | 5.64461e10i | −0.122866 | + | 0.154069i | ||||
\(779\) | 4.06015e11 | − | 4.37580e11i | 1.10254 | − | 1.18825i | ||||
\(780\) | −3.19881e11 | + | 5.54050e11i | −0.864192 | + | 1.49682i | ||||
\(781\) | −3.10289e9 | + | 1.79145e9i | −0.00833992 | + | 0.00481506i | ||||
\(782\) | 7.38233e10 | + | 1.68497e10i | 0.197409 | + | 0.0450573i | ||||
\(783\) | −1.40057e11 | + | 3.56861e11i | −0.372614 | + | 0.949405i | ||||
\(784\) | −5.08268e10 | − | 1.56780e10i | −0.134533 | − | 0.0414979i | ||||
\(785\) | 3.74181e11 | + | 4.69208e11i | 0.985378 | + | 1.23563i | ||||
\(786\) | 2.14275e11 | + | 1.60577e10i | 0.561412 | + | 0.0420720i | ||||
\(787\) | 4.65462e11 | − | 1.43576e11i | 1.21335 | − | 0.374268i | 0.378942 | − | 0.925420i | \(-0.376288\pi\) |
0.834405 | + | 0.551153i | \(0.185812\pi\) | |||||||
\(788\) | 1.25581e11 | + | 8.56195e10i | 0.325700 | + | 0.222059i | ||||
\(789\) | −1.09084e12 | − | 1.64418e11i | −2.81484 | − | 0.424269i | ||||
\(790\) | −6.16830e10 | − | 2.70251e11i | −0.158364 | − | 0.693839i | ||||
\(791\) | 3.48594e11 | − | 3.23448e11i | 0.890459 | − | 0.826225i | ||||
\(792\) | 2.33235e11 | − | 1.74785e10i | 0.592779 | − | 0.0444227i | ||||
\(793\) | 7.59088e11 | − | 2.97920e11i | 1.91955 | − | 0.753368i | ||||
\(794\) | −4.12871e10 | − | 2.73922e11i | −0.103880 | − | 0.689200i | ||||
\(795\) | −6.54430e11 | − | 3.15157e11i | −1.63831 | − | 0.788966i | ||||
\(796\) | −1.00730e11 | + | 2.09168e11i | −0.250904 | + | 0.521007i | ||||
\(797\) | 9.65494e10 | − | 1.45525e10i | 0.239285 | − | 0.0360665i | −0.0283046 | − | 0.999599i | \(-0.509011\pi\) |
0.267590 | + | 0.963533i | \(0.413773\pi\) | |||||||
\(798\) | 1.60483e11 | + | 4.08905e11i | 0.395748 | + | 1.00835i | ||||
\(799\) | 2.30375e9 | + | 3.07414e10i | 0.00565259 | + | 0.0754286i | ||||
\(800\) | −4.92675e9 | − | 5.30977e9i | −0.0120282 | − | 0.0129633i | ||||
\(801\) | −3.86391e11 | + | 8.81912e10i | −0.938636 | + | 0.214237i | ||||
\(802\) | 3.05701e10 | − | 2.02819e11i | 0.0738923 | − | 0.490243i | ||||
\(803\) | 1.68936e11 | − | 2.47784e11i | 0.406312 | − | 0.595951i | ||||
\(804\) | 1.39349e11 | + | 4.51760e11i | 0.333489 | + | 1.08114i | ||||
\(805\) | 5.10996e10 | − | 6.81877e11i | 0.121684 | − | 1.62376i | ||||
\(806\) | 4.46303e10 | − | 3.55915e10i | 0.105752 | − | 0.0843346i | ||||
\(807\) | −1.96273e11 | + | 6.36301e11i | −0.462771 | + | 1.50027i | ||||
\(808\) | 3.72555e10 | + | 1.46217e10i | 0.0874068 | + | 0.0343047i | ||||
\(809\) | 1.76819e11 | − | 7.74696e11i | 0.412796 | − | 1.80858i | −0.157944 | − | 0.987448i | \(-0.550487\pi\) |
0.570740 | − | 0.821131i | \(-0.306656\pi\) | |||||||
\(810\) | 2.52536e10 | + | 4.37405e10i | 0.0586655 | + | 0.101612i | ||||
\(811\) | 1.56030e11 | + | 9.00841e10i | 0.360683 | + | 0.208240i | 0.669380 | − | 0.742920i | \(-0.266560\pi\) |
−0.308697 | + | 0.951160i | \(0.599893\pi\) | |||||||
\(812\) | 3.72191e11 | + | 3.45343e11i | 0.856134 | + | 0.794377i | ||||
\(813\) | −3.17476e10 | − | 2.53179e10i | −0.0726690 | − | 0.0579516i | ||||
\(814\) | −4.05088e10 | + | 2.76184e10i | −0.0922681 | + | 0.0629073i | ||||
\(815\) | −5.62454e11 | + | 2.70864e11i | −1.27484 | + | 0.613932i | ||||
\(816\) | 8.26664e10i | 0.186453i | ||||||||
\(817\) | −1.04620e10 | − | 5.51093e11i | −0.0234815 | − | 1.23691i | ||||
\(818\) | 1.86475e11 | 0.416494 | ||||||||
\(819\) | 4.78980e11 | + | 9.94612e11i | 1.06459 | + | 2.21064i | ||||
\(820\) | 2.61363e11 | + | 3.83350e11i | 0.578082 | + | 0.847890i | ||||
\(821\) | −2.39985e11 | + | 3.00932e11i | −0.528217 | + | 0.662363i | −0.972331 | − | 0.233607i | \(-0.924947\pi\) |
0.444114 | + | 0.895970i | \(0.353518\pi\) | |||||||
\(822\) | −1.40360e11 | + | 1.51272e11i | −0.307436 | + | 0.331337i | ||||
\(823\) | −3.21988e11 | + | 5.57699e11i | −0.701843 | + | 1.21563i | 0.265976 | + | 0.963980i | \(0.414306\pi\) |
−0.967819 | + | 0.251648i | \(0.919027\pi\) | |||||||
\(824\) | 6.19098e11 | − | 3.57437e11i | 1.34292 | − | 0.775336i | ||||
\(825\) | 5.84084e9 | + | 1.33313e9i | 0.0126084 | + | 0.00287778i | ||||
\(826\) | −1.21595e11 | + | 3.09820e11i | −0.261214 | + | 0.665562i | ||||
\(827\) | −1.79970e11 | − | 5.55135e10i | −0.384750 | − | 0.118680i | 0.0963452 | − | 0.995348i | \(-0.469285\pi\) |
−0.481095 | + | 0.876668i | \(0.659761\pi\) | |||||||
\(828\) | 4.71229e11 | + | 5.90902e11i | 1.00256 | + | 1.25717i | ||||
\(829\) | 3.81681e11 | + | 2.86030e10i | 0.808131 | + | 0.0605611i | 0.472386 | − | 0.881392i | \(-0.343393\pi\) |
0.335745 | + | 0.941953i | \(0.391012\pi\) | |||||||
\(830\) | 1.10922e11 | − | 3.42149e10i | 0.233725 | − | 0.0720947i | ||||
\(831\) | 9.40545e11 | + | 6.41252e11i | 1.97231 | + | 1.34470i | ||||
\(832\) | 6.76979e10 | + | 1.02038e10i | 0.141280 | + | 0.0212946i | ||||
\(833\) | −1.23491e10 | − | 5.41052e10i | −0.0256482 | − | 0.112372i | ||||
\(834\) | 8.41633e10 | − | 7.80922e10i | 0.173964 | − | 0.161415i | ||||
\(835\) | 6.46342e11 | − | 4.84366e10i | 1.32959 | − | 0.0996387i | ||||
\(836\) | 2.05833e11 | − | 8.07834e10i | 0.421395 | − | 0.165385i | ||||
\(837\) | −1.19108e10 | − | 7.90232e10i | −0.0242684 | − | 0.161010i | ||||
\(838\) | −2.24025e11 | − | 1.07885e11i | −0.454278 | − | 0.218769i | ||||
\(839\) | −4.87124e10 | + | 1.01152e11i | −0.0983086 | + | 0.204140i | −0.944323 | − | 0.329020i | \(-0.893282\pi\) |
0.846014 | + | 0.533160i | \(0.178996\pi\) | |||||||
\(840\) | −7.72403e11 | + | 1.16421e11i | −1.55141 | + | 0.233838i | ||||
\(841\) | −1.18795e11 | − | 3.02686e11i | −0.237474 | − | 0.605073i | ||||
\(842\) | 1.95037e10 | + | 2.60259e11i | 0.0388034 | + | 0.517795i | ||||
\(843\) | −9.88033e11 | − | 1.06485e12i | −1.95642 | − | 2.10851i | ||||
\(844\) | −2.81013e11 | + | 6.41394e10i | −0.553805 | + | 0.126402i | ||||
\(845\) | 7.25397e10 | − | 4.81270e11i | 0.142282 | − | 0.943978i | ||||
\(846\) | 4.98902e10 | − | 7.31755e10i | 0.0973944 | − | 0.142851i | ||||
\(847\) | −1.38185e11 | − | 4.47984e11i | −0.268489 | − | 0.870421i | ||||
\(848\) | 1.67125e10 | − | 2.23012e11i | 0.0323190 | − | 0.431267i | ||||
\(849\) | −3.71440e11 | + | 2.96214e11i | −0.714922 | + | 0.570131i | ||||
\(850\) | 3.92062e8 | − | 1.27103e9i | 0.000751068 | − | 0.00243490i | ||||
\(851\) | −3.37405e11 | − | 1.32422e11i | −0.643329 | − | 0.252488i | ||||
\(852\) | −2.94306e9 | + | 1.28944e10i | −0.00558523 | + | 0.0244705i | ||||
\(853\) | 1.38858e11 | + | 2.40508e11i | 0.262285 | + | 0.454291i | 0.966849 | − | 0.255350i | \(-0.0821906\pi\) |
−0.704564 | + | 0.709641i | \(0.748857\pi\) | |||||||
\(854\) | 3.76887e11 | + | 2.17596e11i | 0.708565 | + | 0.409090i | ||||
\(855\) | −7.34193e11 | − | 6.81232e11i | −1.37387 | − | 1.27477i | ||||
\(856\) | −4.97187e11 | − | 3.96493e11i | −0.926029 | − | 0.738483i | ||||
\(857\) | −5.28195e11 | + | 3.60118e11i | −0.979200 | + | 0.667607i | −0.943367 | − | 0.331751i | \(-0.892361\pi\) |
−0.0358328 | + | 0.999358i | \(0.511408\pi\) | |||||||
\(858\) | −2.40053e11 | + | 1.15603e11i | −0.442952 | + | 0.213315i | ||||
\(859\) | − | 4.02480e10i | − | 0.0739216i | −0.999317 | − | 0.0369608i | \(-0.988232\pi\) | ||
0.999317 | − | 0.0369608i | \(-0.0117677\pi\) | |||||||
\(860\) | 4.19413e11 | + | 8.73874e10i | 0.766740 | + | 0.159755i | ||||
\(861\) | 1.33363e12 | 2.42674 | ||||||||
\(862\) | −1.28913e11 | − | 2.67690e11i | −0.233489 | − | 0.484845i | ||||
\(863\) | 1.81209e10 | + | 2.65785e10i | 0.0326690 | + | 0.0479167i | 0.842226 | − | 0.539125i | \(-0.181245\pi\) |
−0.809557 | + | 0.587042i | \(0.800293\pi\) | |||||||
\(864\) | 2.81178e11 | − | 3.52585e11i | 0.504575 | − | 0.632717i | ||||
\(865\) | −5.18360e11 | + | 5.58660e11i | −0.925907 | + | 0.997890i | ||||
\(866\) | −1.50104e11 | + | 2.59988e11i | −0.266883 | + | 0.462256i | ||||
\(867\) | 6.99317e11 | − | 4.03751e11i | 1.23765 | − | 0.714557i | ||||
\(868\) | −1.03188e11 | − | 2.35520e10i | −0.181782 | − | 0.0414905i | ||||
\(869\) | −1.46532e11 | + | 3.73356e11i | −0.256952 | + | 0.654703i | ||||
\(870\) | 5.30396e11 | + | 1.63605e11i | 0.925812 | + | 0.285575i | ||||
\(871\) | −4.61172e11 | − | 5.78292e11i | −0.801292 | − | 1.00479i | ||||
\(872\) | −5.28452e11 | − | 3.96020e10i | −0.913985 | − | 0.0684937i | ||||
\(873\) | 3.97556e11 | − | 1.22630e11i | 0.684450 | − | 0.211125i | ||||
\(874\) | −3.88764e11 | − | 2.65055e11i | −0.666254 | − | 0.454245i | ||||
\(875\) | 6.72685e11 | + | 1.01391e11i | 1.14757 | + | 0.172969i | ||||
\(876\) | −2.46338e11 | − | 1.07928e12i | −0.418325 | − | 1.83280i | ||||
\(877\) | 5.97347e10 | − | 5.54257e10i | 0.100978 | − | 0.0936943i | −0.628068 | − | 0.778158i | \(-0.716154\pi\) |
0.729047 | + | 0.684464i | \(0.239964\pi\) | |||||||
\(878\) | 1.13811e11 | − | 8.52899e9i | 0.191517 | − | 0.0143522i | ||||
\(879\) | −5.57146e11 | + | 2.18664e11i | −0.933283 | + | 0.366287i | ||||
\(880\) | 1.61202e10 | + | 1.06951e11i | 0.0268807 | + | 0.178342i | ||||
\(881\) | 7.51442e11 | + | 3.61876e11i | 1.24736 | + | 0.600697i | 0.936803 | − | 0.349857i | \(-0.113770\pi\) |
0.310558 | + | 0.950555i | \(0.399484\pi\) | |||||||
\(882\) | −6.91768e10 | + | 1.43647e11i | −0.114310 | + | 0.237368i | ||||
\(883\) | −6.83465e11 | + | 1.03016e11i | −1.12428 | + | 0.169458i | −0.684755 | − | 0.728774i | \(-0.740091\pi\) |
−0.439523 | + | 0.898231i | \(0.644853\pi\) | |||||||
\(884\) | −7.50838e10 | − | 1.91310e11i | −0.122952 | − | 0.313278i | ||||
\(885\) | −9.44667e10 | − | 1.26057e12i | −0.153995 | − | 2.05492i | ||||
\(886\) | −3.39418e10 | − | 3.65806e10i | −0.0550808 | − | 0.0593630i | ||||
\(887\) | −2.96230e11 | + | 6.76125e10i | −0.478558 | + | 0.109228i | −0.454994 | − | 0.890495i | \(-0.650358\pi\) |
−0.0235639 | + | 0.999722i | \(0.507501\pi\) | |||||||
\(888\) | −6.17121e10 | + | 4.09433e11i | −0.0992472 | + | 0.658462i | ||||
\(889\) | −4.56502e11 | + | 6.69565e11i | −0.730862 | + | 1.07198i | ||||
\(890\) | 5.65276e10 | + | 1.83258e11i | 0.0900949 | + | 0.292081i | ||||
\(891\) | 5.46118e9 | − | 7.28744e10i | 0.00866514 | − | 0.115628i | ||||
\(892\) | 1.42615e11 | − | 1.13732e11i | 0.225272 | − | 0.179648i | ||||
\(893\) | 5.64625e10 | − | 1.83047e11i | 0.0887879 | − | 0.287843i | ||||
\(894\) | 8.15607e10 | + | 3.20102e10i | 0.127682 | + | 0.0501116i | ||||
\(895\) | 5.90637e10 | − | 2.58775e11i | 0.0920510 | − | 0.403302i | ||||
\(896\) | −3.66327e11 | − | 6.34497e11i | −0.568377 | − | 0.984459i | ||||
\(897\) | −1.70586e12 | − | 9.84880e11i | −2.63496 | − | 1.52130i | ||||
\(898\) | −3.15134e11 | − | 2.92402e11i | −0.484607 | − | 0.449650i | ||||
\(899\) | 1.34526e11 | + | 1.07281e11i | 0.205953 | + | 0.164242i | ||||
\(900\) | 1.09693e10 | − | 7.47877e9i | 0.0167190 | − | 0.0113988i | ||||
\(901\) | 2.10229e11 | − | 1.01241e11i | 0.319002 | − | 0.153623i | ||||
\(902\) | 1.93227e11i | 0.291905i | ||||||||
\(903\) | 8.86654e11 | − | 8.54580e11i | 1.33353 | − | 1.28529i | ||||
\(904\) | 5.81881e11 | 0.871285 | ||||||||
\(905\) | 2.35468e11 | + | 4.88954e11i | 0.351024 | + | 0.728909i | ||||
\(906\) | −2.60399e11 | − | 3.81936e11i | −0.386480 | − | 0.566862i | ||||
\(907\) | −5.83438e11 | + | 7.31608e11i | −0.862115 | + | 1.08106i | 0.133822 | + | 0.991005i | \(0.457275\pi\) |
−0.995937 | + | 0.0900528i | \(0.971296\pi\) | |||||||
\(908\) | 4.39035e11 | − | 4.73167e11i | 0.645886 | − | 0.696099i | ||||
\(909\) | −5.73240e10 | + | 9.92880e10i | −0.0839616 | + | 0.145426i | ||||
\(910\) | 4.62614e11 | − | 2.67090e11i | 0.674611 | − | 0.389487i | ||||
\(911\) | 2.26024e11 | + | 5.15886e10i | 0.328157 | + | 0.0748997i | 0.383425 | − | 0.923572i | \(-0.374744\pi\) |
−0.0552685 | + | 0.998472i | \(0.517601\pi\) | |||||||
\(912\) | 1.87667e11 | − | 4.78166e11i | 0.271274 | − | 0.691194i | ||||
\(913\) | −1.60493e11 | − | 4.95055e10i | −0.230979 | − | 0.0712477i | ||||
\(914\) | 2.32792e11 | + | 2.91912e11i | 0.333567 | + | 0.418280i | ||||
\(915\) | −1.64828e12 | − | 1.23521e11i | −2.35150 | − | 0.176221i | ||||
\(916\) | −5.50670e11 | + | 1.69859e11i | −0.782185 | + | 0.241272i | ||||
\(917\) | 5.15019e11 | + | 3.51134e11i | 0.728360 | + | 0.496587i | ||||
\(918\) | 8.18890e10 | + | 1.23428e10i | 0.115307 | + | 0.0173797i | ||||
\(919\) | −1.61719e11 | − | 7.08537e11i | −0.226725 | − | 0.993346i | −0.952290 | − | 0.305193i | \(-0.901279\pi\) |
0.725566 | − | 0.688153i | \(-0.241578\pi\) | |||||||
\(920\) | 6.13346e11 | − | 5.69102e11i | 0.856159 | − | 0.794399i | ||||
\(921\) | −1.06199e12 | + | 7.95850e10i | −1.47598 | + | 0.110610i | ||||
\(922\) | −4.60288e11 | + | 1.80650e11i | −0.636951 | + | 0.249985i | ||||
\(923\) | −3.08410e9 | − | 2.04617e10i | −0.00424934 | − | 0.0281925i | ||||
\(924\) | 4.45088e11 | + | 2.14343e11i | 0.610602 | + | 0.294050i | ||||
\(925\) | −2.76253e9 | + | 5.73645e9i | −0.00377346 | + | 0.00783567i | ||||
\(926\) | 1.28673e11 | − | 1.93943e10i | 0.175002 | − | 0.0263773i | ||||
\(927\) | 7.48158e11 | + | 1.90628e12i | 1.01315 | + | 2.58147i | ||||
\(928\) | 7.25619e10 | + | 9.68271e11i | 0.0978400 | + | 1.30558i | ||||
\(929\) | 7.61291e11 | + | 8.20477e11i | 1.02209 | + | 1.10155i | 0.994793 | + | 0.101921i | \(0.0324988\pi\) |
0.0272947 | + | 0.999627i | \(0.491311\pi\) | |||||||
\(930\) | −1.12806e11 | + | 2.57473e10i | −0.150800 | + | 0.0344191i | ||||
\(931\) | −5.13966e10 | + | 3.40994e11i | −0.0684126 | + | 0.453888i | ||||
\(932\) | 3.73533e11 | − | 5.47872e11i | 0.495069 | − | 0.726132i | ||||
\(933\) | −5.14827e10 | − | 1.66903e11i | −0.0679415 | − | 0.220261i | ||||
\(934\) | −8.86171e9 | + | 1.18251e11i | −0.0116447 | + | 0.155388i | ||||
\(935\) | −8.82292e10 | + | 7.03604e10i | −0.115443 | + | 0.0920624i | ||||
\(936\) | −3.98157e11 | + | 1.29079e12i | −0.518741 | + | 1.68172i | ||||
\(937\) | 9.46684e11 | + | 3.71546e11i | 1.22814 | + | 0.482008i | 0.888643 | − | 0.458600i | \(-0.151649\pi\) |
0.339494 | + | 0.940608i | \(0.389744\pi\) | |||||||
\(938\) | 8.78384e10 | − | 3.84845e11i | 0.113468 | − | 0.497135i | ||||
\(939\) | −6.20936e11 | − | 1.07549e12i | −0.798702 | − | 1.38339i | ||||
\(940\) | 1.28942e11 | + | 7.44449e10i | 0.165152 | + | 0.0953506i | ||||
\(941\) | −2.51774e11 | − | 2.33613e11i | −0.321110 | − | 0.297946i | 0.503103 | − | 0.864226i | \(-0.332192\pi\) |
−0.824213 | + | 0.566280i | \(0.808382\pi\) | |||||||
\(942\) | 7.21334e11 | + | 5.75244e11i | 0.916078 | + | 0.730548i | ||||
\(943\) | −1.18029e12 | + | 8.04710e11i | −1.49260 | + | 1.01764i | ||||
\(944\) | 3.50659e11 | − | 1.68868e11i | 0.441567 | − | 0.212648i | ||||
\(945\) | − | 7.47832e11i | − | 0.937728i | ||||||
\(946\) | 1.23818e11 | + | 1.28465e11i | 0.154604 | + | 0.160406i | ||||
\(947\) | −1.03736e12 | −1.28982 | −0.644909 | − | 0.764259i | \(-0.723105\pi\) | ||||
−0.644909 | + | 0.764259i | \(0.723105\pi\) | |||||||
\(948\) | 6.42390e11 | + | 1.33394e12i | 0.795364 | + | 1.65159i | ||||
\(949\) | 9.75675e11 | + | 1.43105e12i | 1.20293 | + | 1.76437i | ||||
\(950\) | −5.15326e9 | + | 6.46199e9i | −0.00632685 | + | 0.00793362i | ||||
\(951\) | 4.66578e11 | − | 5.02851e11i | 0.570430 | − | 0.614777i | ||||
\(952\) | 1.25465e11 | − | 2.17311e11i | 0.152747 | − | 0.264566i | ||||
\(953\) | 3.25922e11 | − | 1.88171e11i | 0.395132 | − | 0.228130i | −0.289249 | − | 0.957254i | \(-0.593406\pi\) |
0.684381 | + | 0.729124i | \(0.260072\pi\) | |||||||
\(954\) | −6.53546e11 | − | 1.49168e11i | −0.789010 | − | 0.180086i | ||||
\(955\) | 3.82965e11 | − | 9.75779e11i | 0.460411 | − | 1.17311i | ||||
\(956\) | 4.78917e11 | + | 1.47726e11i | 0.573362 | + | 0.176859i | ||||
\(957\) | −5.00730e11 | − | 6.27896e11i | −0.596975 | − | 0.748583i | ||||
\(958\) | 2.04598e11 | + | 1.53325e10i | 0.242907 | + | 0.0182033i | ||||
\(959\) | −5.72027e11 | + | 1.76447e11i | −0.676305 | + | 0.208612i | ||||
\(960\) | −1.14658e11 | − | 7.81724e10i | −0.134995 | − | 0.0920382i | ||||
\(961\) | 8.07897e11 | + | 1.21771e11i | 0.947245 | + | 0.142774i | ||||
\(962\) | −6.30083e10 | − | 2.76057e11i | −0.0735694 | − | 0.322329i | ||||
\(963\) | 1.33539e12 | − | 1.23906e12i | 1.55275 | − | 1.44074i | ||||
\(964\) | −3.13661e11 | + | 2.35056e10i | −0.363205 | + | 0.0272185i | ||||
\(965\) | −4.12694e11 | + | 1.61970e11i | −0.475903 | + | 0.186778i | ||||
\(966\) | −1.56676e11 | − | 1.03948e12i | −0.179926 | − | 1.19373i | ||||
\(967\) | −4.19173e11 | − | 2.01863e11i | −0.479388 | − | 0.230861i | 0.178553 | − | 0.983930i | \(-0.442858\pi\) |
−0.657941 | + | 0.753069i | \(0.728573\pi\) | |||||||
\(968\) | 2.48898e11 | − | 5.16842e11i | 0.283478 | − | 0.588649i | ||||
\(969\) | 5.29966e11 | − | 7.98795e10i | 0.601108 | − | 0.0906025i | ||||
\(970\) | −7.35492e10 | − | 1.87400e11i | −0.0830789 | − | 0.211682i | ||||
\(971\) | 1.16980e11 | + | 1.56099e12i | 0.131593 | + | 1.75599i | 0.538596 | + | 0.842564i | \(0.318955\pi\) |
−0.407002 | + | 0.913427i | \(0.633426\pi\) | |||||||
\(972\) | −5.57806e11 | − | 6.01172e11i | −0.624911 | − | 0.673494i | ||||
\(973\) | 3.24706e11 | − | 7.41121e10i | 0.362276 | − | 0.0826871i | ||||
\(974\) | −6.21493e10 | + | 4.12333e11i | −0.0690558 | + | 0.458155i | ||||
\(975\) | −1.94913e10 | + | 2.85885e10i | −0.0215686 | + | 0.0316354i | ||||
\(976\) | −1.50003e11 | − | 4.86297e11i | −0.165310 | − | 0.535923i | ||||
\(977\) | 9.00411e9 | − | 1.20152e11i | 0.00988241 | − | 0.131872i | −0.990080 | − | 0.140502i | \(-0.955128\pi\) |
0.999963 | + | 0.00863078i | \(0.00274730\pi\) | |||||||
\(978\) | −7.50346e11 | + | 5.98381e11i | −0.820174 | + | 0.654067i | ||||
\(979\) | 8.17897e10 | − | 2.65156e11i | 0.0890365 | − | 0.288649i | ||||
\(980\) | −2.49507e11 | − | 9.79242e10i | −0.270507 | − | 0.106166i | ||||
\(981\) | 3.37799e11 | − | 1.47999e12i | 0.364739 | − | 1.59803i | ||||
\(982\) | −2.94711e11 | − | 5.10455e11i | −0.316921 | − | 0.548923i | ||||
\(983\) | −1.37956e12 | − | 7.96491e11i | −1.47750 | − | 0.853035i | −0.477824 | − | 0.878456i | \(-0.658574\pi\) |
−0.999677 | + | 0.0254206i | \(0.991908\pi\) | |||||||
\(984\) | 1.19624e12 | + | 1.10995e12i | 1.27597 | + | 1.18392i | ||||
\(985\) | 3.76847e11 | + | 3.00525e11i | 0.400332 | + | 0.319254i | ||||
\(986\) | −1.47323e11 | + | 1.00443e11i | −0.155870 | + | 0.106270i | ||||
\(987\) | 3.85586e11 | − | 1.85688e11i | 0.406305 | − | 0.195666i | ||||
\(988\) | 1.27705e12i | 1.34023i | ||||||||
\(989\) | −2.69057e11 | + | 1.29133e12i | −0.281228 | + | 1.34974i | ||||
\(990\) | 3.24205e11 | 0.337504 | ||||||||
\(991\) | 2.38858e11 | + | 4.95993e11i | 0.247654 | + | 0.514258i | 0.987325 | − | 0.158710i | \(-0.0507335\pi\) |
−0.739672 | + | 0.672968i | \(0.765019\pi\) | |||||||
\(992\) | −1.14023e11 | − | 1.67241e11i | −0.117746 | − | 0.172702i | ||||
\(993\) | 3.67382e11 | − | 4.60682e11i | 0.377851 | − | 0.473810i | ||||
\(994\) | 7.51134e9 | − | 8.09530e9i | 0.00769435 | − | 0.00829253i | ||||
\(995\) | −3.68121e11 | + | 6.37605e11i | −0.375577 | + | 0.650518i | ||||
\(996\) | −5.36928e11 | + | 3.09995e11i | −0.545605 | + | 0.315005i | ||||
\(997\) | 1.50512e12 | + | 3.43534e11i | 1.52332 | + | 0.347687i | 0.900562 | − | 0.434728i | \(-0.143156\pi\) |
0.622756 | + | 0.782416i | \(0.286013\pi\) | |||||||
\(998\) | 2.02992e11 | − | 5.17216e11i | 0.204624 | − | 0.521374i | ||||
\(999\) | −3.78797e11 | − | 1.16843e11i | −0.380316 | − | 0.117312i |
(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.12.16 | ✓ | 336 | |
43.18 | odd | 42 | inner | 43.9.h.a.18.16 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.h.a.12.16 | ✓ | 336 | 1.1 | even | 1 | trivial | |
43.9.h.a.18.16 | yes | 336 | 43.18 | odd | 42 | inner |