Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,12,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.2934908890\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.21 | ||
Character | \(\chi\) | \(=\) | 16.13 |
Dual form | 16.12.e.a.5.21 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 45.2548 | − | 0.00312776i | 1.00000 | − | 6.91145e-5i | ||||
\(3\) | 457.250 | + | 457.250i | 1.08639 | + | 1.08639i | 0.995897 | + | 0.0904954i | \(0.0288451\pi\) |
0.0904954 | + | 0.995897i | \(0.471155\pi\) | |||||||
\(4\) | 2048.00 | − | 0.283093i | 1.00000 | − | 0.000138229i | ||||
\(5\) | 5575.43 | − | 5575.43i | 0.797890 | − | 0.797890i | −0.184872 | − | 0.982763i | \(-0.559187\pi\) |
0.982763 | + | 0.184872i | \(0.0591872\pi\) | |||||||
\(6\) | 20694.2 | + | 20691.3i | 1.08647 | + | 1.08632i | ||||
\(7\) | − | 55452.7i | − | 1.24705i | −0.781804 | − | 0.623525i | \(-0.785700\pi\) | ||
0.781804 | − | 0.623525i | \(-0.214300\pi\) | |||||||
\(8\) | 92681.9 | − | 19.2170i | 1.00000 | − | 0.000207343i | ||||
\(9\) | 241008.i | 1.36050i | ||||||||
\(10\) | 252298. | − | 252332.i | 0.797835 | − | 0.797945i | ||||
\(11\) | −593916. | + | 593916.i | −1.11190 | + | 1.11190i | −0.119004 | + | 0.992894i | \(0.537970\pi\) |
−0.992894 | + | 0.119004i | \(0.962030\pi\) | |||||||
\(12\) | 936577. | + | 936318.i | 1.08654 | + | 1.08624i | ||||
\(13\) | −320484. | − | 320484.i | −0.239396 | − | 0.239396i | 0.577204 | − | 0.816600i | \(-0.304144\pi\) |
−0.816600 | + | 0.577204i | \(0.804144\pi\) | |||||||
\(14\) | −173.443 | − | 2.50950e6i | −8.61891e−5 | − | 1.24705i | ||||
\(15\) | 5.09873e6 | 1.73364 | ||||||||
\(16\) | 4.19430e6 | − | 1159.55i | 1.00000 | − | 0.000276458i | ||||
\(17\) | −9.66759e6 | −1.65139 | −0.825694 | − | 0.564118i | \(-0.809216\pi\) | ||||
−0.825694 | + | 0.564118i | \(0.809216\pi\) | |||||||
\(18\) | 753.816 | + | 1.09068e7i | 9.40300e−5 | + | 1.36050i | ||||
\(19\) | 6.35824e6 | + | 6.35824e6i | 0.589104 | + | 0.589104i | 0.937389 | − | 0.348285i | \(-0.113236\pi\) |
−0.348285 | + | 0.937389i | \(0.613236\pi\) | |||||||
\(20\) | 1.14169e7 | − | 1.14201e7i | 0.797780 | − | 0.798000i | ||||
\(21\) | 2.53557e7 | − | 2.53557e7i | 1.35478 | − | 1.35478i | ||||
\(22\) | −2.68757e7 | + | 2.68794e7i | −1.11182 | + | 1.11197i | ||||
\(23\) | 1.96028e7i | 0.635060i | 0.948248 | + | 0.317530i | \(0.102853\pi\) | ||||
−0.948248 | + | 0.317530i | \(0.897147\pi\) | |||||||
\(24\) | 4.23876e7 | + | 4.23700e7i | 1.08662 | + | 1.08617i | ||||
\(25\) | − | 1.33426e7i | − | 0.273257i | ||||||
\(26\) | −1.45044e7 | − | 1.45024e7i | −0.239413 | − | 0.239380i | ||||
\(27\) | −2.92004e7 | + | 2.92004e7i | −0.391641 | + | 0.391641i | ||||
\(28\) | −15698.3 | − | 1.13567e8i | −0.000172378 | − | 1.24705i | ||||
\(29\) | −7.64662e7 | − | 7.64662e7i | −0.692278 | − | 0.692278i | 0.270454 | − | 0.962733i | \(-0.412826\pi\) |
−0.962733 | + | 0.270454i | \(0.912826\pi\) | |||||||
\(30\) | 2.30742e8 | − | 15947.6i | 1.73364 | − | 0.000119820i | ||||
\(31\) | −1.66832e8 | −1.04662 | −0.523311 | − | 0.852142i | \(-0.675304\pi\) | ||||
−0.523311 | + | 0.852142i | \(0.675304\pi\) | |||||||
\(32\) | 1.89813e8 | − | 65593.9i | 1.00000 | − | 0.000345572i | ||||
\(33\) | −5.43136e8 | −2.41591 | ||||||||
\(34\) | −4.37505e8 | + | 30237.9i | −1.65139 | + | 0.000114135i | ||||
\(35\) | −3.09173e8 | − | 3.09173e8i | −0.995008 | − | 0.995008i | ||||
\(36\) | 68227.6 | + | 4.93584e8i | 0.000188060 | + | 1.36050i | ||||
\(37\) | 2.74973e7 | − | 2.74973e7i | 0.0651899 | − | 0.0651899i | −0.673760 | − | 0.738950i | \(-0.735322\pi\) |
0.738950 | + | 0.673760i | \(0.235322\pi\) | |||||||
\(38\) | 2.87761e8 | + | 2.87721e8i | 0.589145 | + | 0.589064i | ||||
\(39\) | − | 2.93082e8i | − | 0.520157i | ||||||
\(40\) | 5.16634e8 | − | 5.16848e8i | 0.797725 | − | 0.798056i | ||||
\(41\) | 6.15454e8i | 0.829630i | 0.909906 | + | 0.414815i | \(0.136154\pi\) | ||||
−0.909906 | + | 0.414815i | \(0.863846\pi\) | |||||||
\(42\) | 1.14739e9 | − | 1.14755e9i | 1.35469 | − | 1.35488i | ||||
\(43\) | 8.26623e8 | − | 8.26623e8i | 0.857493 | − | 0.857493i | −0.133549 | − | 0.991042i | \(-0.542637\pi\) |
0.991042 | + | 0.133549i | \(0.0426373\pi\) | |||||||
\(44\) | −1.21617e9 | + | 1.21651e9i | −1.11174 | + | 1.11205i | ||||
\(45\) | 1.34372e9 | + | 1.34372e9i | 1.08553 | + | 1.08553i | ||||
\(46\) | 61312.9 | + | 8.87121e8i | 4.38918e−5 | + | 0.635060i | ||||
\(47\) | 1.20677e9 | 0.767514 | 0.383757 | − | 0.923434i | \(-0.374630\pi\) | ||||
0.383757 | + | 0.923434i | \(0.374630\pi\) | |||||||
\(48\) | 1.91838e9 | + | 1.91731e9i | 1.08669 | + | 1.08609i | ||||
\(49\) | −1.09768e9 | −0.555132 | ||||||||
\(50\) | −41732.6 | − | 6.03819e8i | −1.88860e−5 | − | 0.273257i | ||||
\(51\) | −4.42051e9 | − | 4.42051e9i | −1.79406 | − | 1.79406i | ||||
\(52\) | −6.56441e8 | − | 6.56260e8i | −0.239429 | − | 0.239363i | ||||
\(53\) | 6.02601e8 | − | 6.02601e8i | 0.197930 | − | 0.197930i | −0.601182 | − | 0.799112i | \(-0.705303\pi\) |
0.799112 | + | 0.601182i | \(0.205303\pi\) | |||||||
\(54\) | −1.32137e9 | + | 1.32155e9i | −0.391614 | + | 0.391668i | ||||
\(55\) | 6.62267e9i | 1.77435i | ||||||||
\(56\) | −1.06563e6 | − | 5.13946e9i | −0.000258567 | − | 1.24705i | ||||
\(57\) | 5.81461e9i | 1.28000i | ||||||||
\(58\) | −3.46071e9 | − | 3.46023e9i | −0.692326 | − | 0.692231i | ||||
\(59\) | 3.88524e9 | − | 3.88524e9i | 0.707508 | − | 0.707508i | −0.258502 | − | 0.966011i | \(-0.583229\pi\) |
0.966011 | + | 0.258502i | \(0.0832290\pi\) | |||||||
\(60\) | 1.04422e10 | − | 1.44341e6i | 1.73364 | − | 0.000239640i | ||||
\(61\) | −2.43319e9 | − | 2.43319e9i | −0.368861 | − | 0.368861i | 0.498201 | − | 0.867062i | \(-0.333994\pi\) |
−0.867062 | + | 0.498201i | \(0.833994\pi\) | |||||||
\(62\) | −7.54996e9 | + | 521811.i | −1.04662 | + | 7.23368e-5i | ||||
\(63\) | 1.33645e10 | 1.69661 | ||||||||
\(64\) | 8.58993e9 | − | 3.56213e6i | 1.00000 | − | 0.000414687i | ||||
\(65\) | −3.57367e9 | −0.382024 | ||||||||
\(66\) | −2.45795e10 | + | 1.69880e6i | −2.41591 | + | 0.000166975i | ||||
\(67\) | 8.86750e9 | + | 8.86750e9i | 0.802398 | + | 0.802398i | 0.983470 | − | 0.181072i | \(-0.0579567\pi\) |
−0.181072 | + | 0.983470i | \(0.557957\pi\) | |||||||
\(68\) | −1.97992e10 | + | 2.73683e6i | −1.65139 | + | 0.000228270i | ||||
\(69\) | −8.96337e9 | + | 8.96337e9i | −0.689924 | + | 0.689924i | ||||
\(70\) | −1.39925e10 | − | 1.39906e10i | −0.995077 | − | 0.994940i | ||||
\(71\) | − | 2.93481e10i | − | 1.93045i | −0.261418 | − | 0.965226i | \(-0.584190\pi\) | ||
0.261418 | − | 0.965226i | \(-0.415810\pi\) | |||||||
\(72\) | 4.63144e6 | + | 2.23371e10i | 0.000282090 | + | 1.36050i | ||||
\(73\) | − | 7.45154e9i | − | 0.420698i | −0.977626 | − | 0.210349i | \(-0.932540\pi\) | ||
0.977626 | − | 0.210349i | \(-0.0674600\pi\) | |||||||
\(74\) | 1.24430e9 | − | 1.24447e9i | 0.0651854 | − | 0.0651944i | ||||
\(75\) | 6.10092e9 | − | 6.10092e9i | 0.296865 | − | 0.296865i | ||||
\(76\) | 1.30235e10 | + | 1.30199e10i | 0.589186 | + | 0.589023i | ||||
\(77\) | 3.29342e10 | + | 3.29342e10i | 1.38659 | + | 1.38659i | ||||
\(78\) | −916692. | − | 1.32634e10i | −3.59503e−5 | − | 0.520157i | ||||
\(79\) | −2.31480e10 | −0.846378 | −0.423189 | − | 0.906042i | \(-0.639089\pi\) | ||||
−0.423189 | + | 0.906042i | \(0.639089\pi\) | |||||||
\(80\) | 2.33786e10 | − | 2.33915e10i | 0.797670 | − | 0.798111i | ||||
\(81\) | 1.59901e10 | 0.509546 | ||||||||
\(82\) | 1.92499e6 | + | 2.78523e10i | 5.73394e−5 | + | 0.829630i | ||||
\(83\) | 4.40857e9 | + | 4.40857e9i | 0.122848 | + | 0.122848i | 0.765858 | − | 0.643010i | \(-0.222315\pi\) |
−0.643010 | + | 0.765858i | \(0.722315\pi\) | |||||||
\(84\) | 5.19214e10 | − | 5.19358e10i | 1.35460 | − | 1.35497i | ||||
\(85\) | −5.39010e10 | + | 5.39010e10i | −1.31763 | + | 1.31763i | ||||
\(86\) | 3.74061e10 | − | 3.74113e10i | 0.857434 | − | 0.857553i | ||||
\(87\) | − | 6.99284e10i | − | 1.50417i | ||||||
\(88\) | −5.50338e10 | + | 5.50566e10i | −1.11167 | + | 1.11213i | ||||
\(89\) | 4.82749e10i | 0.916382i | 0.888854 | + | 0.458191i | \(0.151502\pi\) | ||||
−0.888854 | + | 0.458191i | \(0.848498\pi\) | |||||||
\(90\) | 6.08141e10 | + | 6.08057e10i | 1.08560 | + | 1.08545i | ||||
\(91\) | −1.77717e10 | + | 1.77717e10i | −0.298539 | + | 0.298539i | ||||
\(92\) | 5.54941e6 | + | 4.01465e10i | 8.77836e−5 | + | 0.635060i | ||||
\(93\) | −7.62839e10 | − | 7.62839e10i | −1.13704 | − | 1.13704i | ||||
\(94\) | 5.46122e10 | − | 3.77449e6i | 0.767514 | − | 5.30463e-5i | ||||
\(95\) | 7.08998e10 | 0.940081 | ||||||||
\(96\) | 8.68217e10 | + | 8.67618e10i | 1.08677 | + | 1.08602i | ||||
\(97\) | 9.19031e10 | 1.08664 | 0.543320 | − | 0.839526i | \(-0.317167\pi\) | ||||
0.543320 | + | 0.839526i | \(0.317167\pi\) | |||||||
\(98\) | −4.96752e10 | + | 3.43328e6i | −0.555132 | + | 3.83677e-5i | ||||
\(99\) | −1.43138e11 | − | 1.43138e11i | −1.51273 | − | 1.51273i | ||||
\(100\) | −3.77721e6 | − | 2.73257e10i | −3.77721e−5 | − | 0.273257i | ||||
\(101\) | −8.97475e10 | + | 8.97475e10i | −0.849679 | + | 0.849679i | −0.990093 | − | 0.140414i | \(-0.955157\pi\) |
0.140414 | + | 0.990093i | \(0.455157\pi\) | |||||||
\(102\) | −2.00063e11 | − | 2.00035e11i | −1.79418 | − | 1.79393i | ||||
\(103\) | 1.00244e11i | 0.852031i | 0.904716 | + | 0.426015i | \(0.140083\pi\) | ||||
−0.904716 | + | 0.426015i | \(0.859917\pi\) | |||||||
\(104\) | −2.97092e10 | − | 2.96969e10i | −0.239446 | − | 0.239347i | ||||
\(105\) | − | 2.82738e11i | − | 2.16194i | ||||||
\(106\) | 2.72687e10 | − | 2.72725e10i | 0.197917 | − | 0.197944i | ||||
\(107\) | −2.34076e10 | + | 2.34076e10i | −0.161341 | + | 0.161341i | −0.783161 | − | 0.621819i | \(-0.786394\pi\) |
0.621819 | + | 0.783161i | \(0.286394\pi\) | |||||||
\(108\) | −5.97941e10 | + | 5.98106e10i | −0.391586 | + | 0.391695i | ||||
\(109\) | 4.45007e10 | + | 4.45007e10i | 0.277026 | + | 0.277026i | 0.831921 | − | 0.554894i | \(-0.187241\pi\) |
−0.554894 | + | 0.831921i | \(0.687241\pi\) | |||||||
\(110\) | 2.07141e7 | + | 2.99708e11i | 0.000122633 | + | 1.77435i | ||||
\(111\) | 2.51463e10 | 0.141644 | ||||||||
\(112\) | −6.43001e7 | − | 2.32586e11i | −0.000344757 | − | 1.24705i | ||||
\(113\) | −2.35044e11 | −1.20010 | −0.600049 | − | 0.799963i | \(-0.704852\pi\) | ||||
−0.600049 | + | 0.799963i | \(0.704852\pi\) | |||||||
\(114\) | 1.81867e7 | + | 2.63139e11i | 8.84663e−5 | + | 1.28000i | ||||
\(115\) | 1.09294e11 | + | 1.09294e11i | 0.506708 | + | 0.506708i | ||||
\(116\) | −1.56625e11 | − | 1.56581e11i | −0.692374 | − | 0.692183i | ||||
\(117\) | 7.72391e10 | − | 7.72391e10i | 0.325698 | − | 0.325698i | ||||
\(118\) | 1.75814e11 | − | 1.75838e11i | 0.707459 | − | 0.707557i | ||||
\(119\) | 5.36094e11i | 2.05936i | ||||||||
\(120\) | 4.72560e11 | − | 9.79821e7i | 1.73364 | − | 0.000359459i | ||||
\(121\) | − | 4.20160e11i | − | 1.47263i | ||||||
\(122\) | −1.10121e11 | − | 1.10106e11i | −0.368887 | − | 0.368836i | ||||
\(123\) | −2.81416e11 | + | 2.81416e11i | −0.901304 | + | 0.901304i | ||||
\(124\) | −3.41672e11 | + | 4.72290e7i | −1.04662 | + | 0.000144674i | ||||
\(125\) | 1.97847e11 | + | 1.97847e11i | 0.579861 | + | 0.579861i | ||||
\(126\) | 6.04810e11 | − | 4.18011e7i | 1.69661 | − | 0.000117260i | ||||
\(127\) | 6.24519e11 | 1.67736 | 0.838678 | − | 0.544628i | \(-0.183329\pi\) | ||||
0.838678 | + | 0.544628i | \(0.183329\pi\) | |||||||
\(128\) | 3.88736e11 | − | 1.88071e8i | 1.00000 | − | 0.000483801i | ||||
\(129\) | 7.55946e11 | 1.86315 | ||||||||
\(130\) | −1.61726e11 | + | 1.11776e7i | −0.382024 | + | 2.64034e-5i | ||||
\(131\) | −4.84655e11 | − | 4.84655e11i | −1.09759 | − | 1.09759i | −0.994692 | − | 0.102900i | \(-0.967188\pi\) |
−0.102900 | − | 0.994692i | \(-0.532812\pi\) | |||||||
\(132\) | −1.11234e12 | + | 1.53758e8i | −2.41591 | + | 0.000333949i | ||||
\(133\) | 3.52582e11 | − | 3.52582e11i | 0.734642 | − | 0.734642i | ||||
\(134\) | 4.01325e11 | + | 4.01270e11i | 0.802453 | + | 0.802343i | ||||
\(135\) | 3.25609e11i | 0.624972i | ||||||||
\(136\) | −8.96011e11 | + | 1.85782e8i | −1.65139 | + | 0.000342404i | ||||
\(137\) | 5.03802e11i | 0.891860i | 0.895068 | + | 0.445930i | \(0.147127\pi\) | ||||
−0.895068 | + | 0.445930i | \(0.852873\pi\) | |||||||
\(138\) | −4.05608e11 | + | 4.05664e11i | −0.689876 | + | 0.689972i | ||||
\(139\) | 2.16836e11 | − | 2.16836e11i | 0.354446 | − | 0.354446i | −0.507315 | − | 0.861761i | \(-0.669362\pi\) |
0.861761 | + | 0.507315i | \(0.169362\pi\) | |||||||
\(140\) | −6.33273e11 | − | 6.33098e11i | −0.995146 | − | 0.994871i | ||||
\(141\) | 5.51796e11 | + | 5.51796e11i | 0.833822 | + | 0.833822i | ||||
\(142\) | −9.17939e7 | − | 1.32814e12i | −0.000133422 | − | 1.93045i | ||||
\(143\) | 3.80681e11 | 0.532369 | ||||||||
\(144\) | 2.79460e8 | + | 1.01086e12i | 0.000376120 | + | 1.36050i | ||||
\(145\) | −8.52664e11 | −1.10472 | ||||||||
\(146\) | −2.33067e7 | − | 3.37218e11i | −2.90763e−5 | − | 0.420698i | ||||
\(147\) | −5.01913e11 | − | 5.01913e11i | −0.603091 | − | 0.603091i | ||||
\(148\) | 5.63066e10 | − | 5.63222e10i | 0.0651809 | − | 0.0651989i | ||||
\(149\) | −4.15167e11 | + | 4.15167e11i | −0.463126 | + | 0.463126i | −0.899679 | − | 0.436553i | \(-0.856199\pi\) |
0.436553 | + | 0.899679i | \(0.356199\pi\) | |||||||
\(150\) | 2.76077e11 | − | 2.76115e11i | 0.296844 | − | 0.296885i | ||||
\(151\) | 3.26377e11i | 0.338334i | 0.985587 | + | 0.169167i | \(0.0541078\pi\) | ||||
−0.985587 | + | 0.169167i | \(0.945892\pi\) | |||||||
\(152\) | 5.89416e11 | + | 5.89172e11i | 0.589226 | + | 0.588982i | ||||
\(153\) | − | 2.32997e12i | − | 2.24671i | ||||||
\(154\) | 1.49054e12 | + | 1.49033e12i | 1.38669 | + | 1.38650i | ||||
\(155\) | −9.30160e11 | + | 9.30160e11i | −0.835090 | + | 0.835090i | ||||
\(156\) | −8.29695e7 | − | 6.00233e11i | −7.19007e−5 | − | 0.520157i | ||||
\(157\) | −7.29021e11 | − | 7.29021e11i | −0.609947 | − | 0.609947i | 0.332985 | − | 0.942932i | \(-0.391944\pi\) |
−0.942932 | + | 0.332985i | \(0.891944\pi\) | |||||||
\(158\) | −1.04756e12 | + | 7.24014e7i | −0.846378 | + | 5.84969e-5i | ||||
\(159\) | 5.51078e11 | 0.430060 | ||||||||
\(160\) | 1.05792e12 | − | 1.05865e12i | 0.797614 | − | 0.798166i | ||||
\(161\) | 1.08703e12 | 0.791951 | ||||||||
\(162\) | 7.23629e11 | − | 5.00132e7i | 0.509546 | − | 3.52170e-5i | ||||
\(163\) | −8.04342e11 | − | 8.04342e11i | −0.547531 | − | 0.547531i | 0.378195 | − | 0.925726i | \(-0.376545\pi\) |
−0.925726 | + | 0.378195i | \(0.876545\pi\) | |||||||
\(164\) | 1.74231e8 | + | 1.26045e12i | 0.000114679 | + | 0.829630i | ||||
\(165\) | −3.02821e12 | + | 3.02821e12i | −1.92763 | + | 1.92763i | ||||
\(166\) | 1.99523e11 | + | 1.99495e11i | 0.122857 | + | 0.122840i | ||||
\(167\) | − | 5.08675e11i | − | 0.303040i | −0.988454 | − | 0.151520i | \(-0.951583\pi\) | ||
0.988454 | − | 0.151520i | \(-0.0484168\pi\) | |||||||
\(168\) | 2.34953e12 | − | 2.35051e12i | 1.35450 | − | 1.35507i | ||||
\(169\) | − | 1.58674e12i | − | 0.885379i | ||||||
\(170\) | −2.43911e12 | + | 2.43945e12i | −1.31754 | + | 1.31772i | ||||
\(171\) | −1.53239e12 | + | 1.53239e12i | −0.801474 | + | 0.801474i | ||||
\(172\) | 1.69269e12 | − | 1.69316e12i | 0.857375 | − | 0.857612i | ||||
\(173\) | −8.77981e11 | − | 8.77981e11i | −0.430756 | − | 0.430756i | 0.458129 | − | 0.888886i | \(-0.348520\pi\) |
−0.888886 | + | 0.458129i | \(0.848520\pi\) | |||||||
\(174\) | −2.18719e8 | − | 3.16460e12i | −0.000103960 | − | 1.50417i | ||||
\(175\) | −7.39886e11 | −0.340766 | ||||||||
\(176\) | −2.49037e12 | + | 2.49175e12i | −1.11159 | + | 1.11221i | ||||
\(177\) | 3.55305e12 | 1.53726 | ||||||||
\(178\) | 1.50993e8 | + | 2.18467e12i | 6.33352e−5 | + | 0.916382i | ||||
\(179\) | 1.50802e12 | + | 1.50802e12i | 0.613360 | + | 0.613360i | 0.943820 | − | 0.330460i | \(-0.107204\pi\) |
−0.330460 | + | 0.943820i | \(0.607204\pi\) | |||||||
\(180\) | 2.75232e12 | + | 2.75156e12i | 1.08568 | + | 1.08538i | ||||
\(181\) | −4.49068e11 | + | 4.49068e11i | −0.171822 | + | 0.171822i | −0.787780 | − | 0.615957i | \(-0.788769\pi\) |
0.615957 | + | 0.787780i | \(0.288769\pi\) | |||||||
\(182\) | −8.04200e11 | + | 8.04311e11i | −0.298518 | + | 0.298560i | ||||
\(183\) | − | 2.22516e12i | − | 0.801456i | ||||||
\(184\) | 3.76706e8 | + | 1.81682e12i | 0.000131675 | + | 0.635060i | ||||
\(185\) | − | 3.06618e11i | − | 0.104029i | ||||||
\(186\) | −3.45246e12 | − | 3.45198e12i | −1.13712 | − | 1.13696i | ||||
\(187\) | 5.74173e12 | − | 5.74173e12i | 1.83618 | − | 1.83618i | ||||
\(188\) | 2.47147e12 | − | 3.41628e8i | 0.767514 | − | 0.000106093i | ||||
\(189\) | 1.61924e12 | + | 1.61924e12i | 0.488395 | + | 0.488395i | ||||
\(190\) | 3.20856e12 | − | 2.21758e8i | 0.940081 | − | 6.49732e-5i | ||||
\(191\) | 4.96899e12 | 1.41444 | 0.707220 | − | 0.706993i | \(-0.249949\pi\) | ||||
0.707220 | + | 0.706993i | \(0.249949\pi\) | |||||||
\(192\) | 3.92937e12 | + | 3.92612e12i | 1.08684 | + | 1.08594i | ||||
\(193\) | −2.71012e12 | −0.728489 | −0.364244 | − | 0.931303i | \(-0.618673\pi\) | ||||
−0.364244 | + | 0.931303i | \(0.618673\pi\) | |||||||
\(194\) | 4.15906e12 | − | 2.87451e8i | 1.08664 | − | 7.51025e-5i | ||||
\(195\) | −1.63406e12 | − | 1.63406e12i | −0.415028 | − | 0.415028i | ||||
\(196\) | −2.24804e12 | + | 3.10745e8i | −0.555132 | + | 7.67353e-5i | ||||
\(197\) | −5.19796e12 | + | 5.19796e12i | −1.24816 | + | 1.24816i | −0.291623 | + | 0.956533i | \(0.594195\pi\) |
−0.956533 | + | 0.291623i | \(0.905805\pi\) | |||||||
\(198\) | −6.47815e12 | − | 6.47725e12i | −1.51284 | − | 1.51263i | ||||
\(199\) | − | 1.24035e12i | − | 0.281742i | −0.990028 | − | 0.140871i | \(-0.955010\pi\) | ||
0.990028 | − | 0.140871i | \(-0.0449903\pi\) | |||||||
\(200\) | −2.56405e8 | − | 1.23662e12i | −5.66581e−5 | − | 0.273257i | ||||
\(201\) | 8.10933e12i | 1.74344i | ||||||||
\(202\) | −4.06123e12 | + | 4.06179e12i | −0.849620 | + | 0.849738i | ||||
\(203\) | −4.24026e12 | + | 4.24026e12i | −0.863305 | + | 0.863305i | ||||
\(204\) | −9.05445e12 | − | 9.05194e12i | −1.79430 | − | 1.79381i | ||||
\(205\) | 3.43142e12 | + | 3.43142e12i | 0.661954 | + | 0.661954i | ||||
\(206\) | 3.13541e8 | + | 4.53654e12i | 5.88876e−5 | + | 0.852031i | ||||
\(207\) | −4.72443e12 | −0.863997 | ||||||||
\(208\) | −1.34458e12 | − | 1.34383e12i | −0.239463 | − | 0.239330i | ||||
\(209\) | −7.55252e12 | −1.31005 | ||||||||
\(210\) | −8.84338e8 | − | 1.27953e13i | −0.000149421 | − | 2.16194i | ||||
\(211\) | −2.59805e12 | − | 2.59805e12i | −0.427656 | − | 0.427656i | 0.460173 | − | 0.887829i | \(-0.347787\pi\) |
−0.887829 | + | 0.460173i | \(0.847787\pi\) | |||||||
\(212\) | 1.23396e12 | − | 1.23430e12i | 0.197903 | − | 0.197958i | ||||
\(213\) | 1.34194e13 | − | 1.34194e13i | 2.09723 | − | 2.09723i | ||||
\(214\) | −1.05923e12 | + | 1.05938e12i | −0.161330 | + | 0.161353i | ||||
\(215\) | − | 9.21755e12i | − | 1.36837i | ||||||
\(216\) | −2.70578e12 | + | 2.70691e12i | −0.391559 | + | 0.391722i | ||||
\(217\) | 9.25129e12i | 1.30519i | ||||||||
\(218\) | 2.01401e12 | + | 2.01373e12i | 0.277046 | + | 0.277007i | ||||
\(219\) | 3.40722e12 | − | 3.40722e12i | 0.457043 | − | 0.457043i | ||||
\(220\) | 1.87483e9 | + | 1.35632e13i | 0.000245266 | + | 1.77435i | ||||
\(221\) | 3.09831e12 | + | 3.09831e12i | 0.395336 | + | 0.395336i | ||||
\(222\) | 1.13799e12 | − | 7.86515e7i | 0.141644 | − | 9.78962e-6i | ||||
\(223\) | 3.31901e12 | 0.403025 | 0.201512 | − | 0.979486i | \(-0.435414\pi\) | ||||
0.201512 | + | 0.979486i | \(0.435414\pi\) | |||||||
\(224\) | −3.63736e9 | − | 1.05256e13i | −0.000430946 | − | 1.24705i | ||||
\(225\) | 3.21568e12 | 0.371766 | ||||||||
\(226\) | −1.06369e13 | + | 7.35161e8i | −1.20010 | + | 8.29442e-5i | ||||
\(227\) | 2.66770e12 | + | 2.66770e12i | 0.293762 | + | 0.293762i | 0.838564 | − | 0.544803i | \(-0.183395\pi\) |
−0.544803 | + | 0.838564i | \(0.683395\pi\) | |||||||
\(228\) | 1.64607e9 | + | 1.19083e13i | 0.000176933 | + | 1.28000i | ||||
\(229\) | 5.06633e12 | − | 5.06633e12i | 0.531616 | − | 0.531616i | −0.389437 | − | 0.921053i | \(-0.627330\pi\) |
0.921053 | + | 0.389437i | \(0.127330\pi\) | |||||||
\(230\) | 4.94642e12 | + | 4.94574e12i | 0.506743 | + | 0.506673i | ||||
\(231\) | 3.01184e13i | 3.01277i | ||||||||
\(232\) | −7.08851e12 | − | 7.08557e12i | −0.692422 | − | 0.692135i | ||||
\(233\) | − | 1.26560e13i | − | 1.20737i | −0.797224 | − | 0.603683i | \(-0.793699\pi\) | ||
0.797224 | − | 0.603683i | \(-0.206301\pi\) | |||||||
\(234\) | 3.49520e12 | − | 3.49568e12i | 0.325675 | − | 0.325720i | ||||
\(235\) | 6.72826e12 | − | 6.72826e12i | 0.612392 | − | 0.612392i | ||||
\(236\) | 7.95587e12 | − | 7.95807e12i | 0.707410 | − | 0.707606i | ||||
\(237\) | −1.05844e13 | − | 1.05844e13i | −0.919498 | − | 0.919498i | ||||
\(238\) | 1.67678e9 | + | 2.42609e13i | 0.000142332 | + | 2.05936i | ||||
\(239\) | 3.75926e12 | 0.311828 | 0.155914 | − | 0.987771i | \(-0.450168\pi\) | ||||
0.155914 | + | 0.987771i | \(0.450168\pi\) | |||||||
\(240\) | 2.13856e13 | − | 5.91222e9i | 1.73364 | − | 0.000479279i | ||||
\(241\) | −5.53115e12 | −0.438250 | −0.219125 | − | 0.975697i | \(-0.570320\pi\) | ||||
−0.219125 | + | 0.975697i | \(0.570320\pi\) | |||||||
\(242\) | −1.31416e9 | − | 1.90143e13i | −0.000101780 | − | 1.47263i | ||||
\(243\) | 1.24842e13 | + | 1.24842e13i | 0.945207 | + | 0.945207i | ||||
\(244\) | −4.98387e12 | − | 4.98249e12i | −0.368912 | − | 0.368810i | ||||
\(245\) | −6.12002e12 | + | 6.12002e12i | −0.442934 | + | 0.442934i | ||||
\(246\) | −1.27346e13 | + | 1.27363e13i | −0.901241 | + | 0.901366i | ||||
\(247\) | − | 4.07543e12i | − | 0.282059i | ||||||
\(248\) | −1.54623e13 | + | 3.20601e9i | −1.04662 | + | 0.000217010i | ||||
\(249\) | 4.03164e12i | 0.266922i | ||||||||
\(250\) | 8.95414e12 | + | 8.95290e12i | 0.579901 | + | 0.579821i | ||||
\(251\) | −3.06972e12 | + | 3.06972e12i | −0.194488 | + | 0.194488i | −0.797632 | − | 0.603144i | \(-0.793914\pi\) |
0.603144 | + | 0.797632i | \(0.293914\pi\) | |||||||
\(252\) | 2.73706e13 | − | 3.78341e9i | 1.69661 | − | 0.000234520i | ||||
\(253\) | −1.16424e13 | − | 1.16424e13i | −0.706122 | − | 0.706122i | ||||
\(254\) | 2.82625e13 | − | 1.95335e9i | 1.67736 | − | 0.000115930i | ||||
\(255\) | −4.92924e13 | −2.86292 | ||||||||
\(256\) | 1.75922e13 | − | 9.72699e9i | 1.00000 | − | 0.000552916i | ||||
\(257\) | 1.71375e12 | 0.0953489 | 0.0476745 | − | 0.998863i | \(-0.484819\pi\) | ||||
0.0476745 | + | 0.998863i | \(0.484819\pi\) | |||||||
\(258\) | 3.42102e13 | − | 2.36442e9i | 1.86315 | − | 0.000128770i | ||||
\(259\) | −1.52480e12 | − | 1.52480e12i | −0.0812950 | − | 0.0812950i | ||||
\(260\) | −7.31887e12 | + | 1.01168e9i | −0.382024 | + | 5.28068e-5i | ||||
\(261\) | 1.84290e13 | − | 1.84290e13i | 0.941842 | − | 0.941842i | ||||
\(262\) | −2.19345e13 | − | 2.19315e13i | −1.09767 | − | 1.09752i | ||||
\(263\) | − | 1.01496e13i | − | 0.497384i | −0.968583 | − | 0.248692i | \(-0.919999\pi\) | ||
0.968583 | − | 0.248692i | \(-0.0800007\pi\) | |||||||
\(264\) | −5.03388e13 | + | 1.04374e10i | −2.41591 | + | 0.000500924i | ||||
\(265\) | − | 6.71951e12i | − | 0.315853i | ||||||
\(266\) | 1.59549e13 | − | 1.59571e13i | 0.734591 | − | 0.734693i | ||||
\(267\) | −2.20737e13 | + | 2.20737e13i | −0.995550 | + | 0.995550i | ||||
\(268\) | 1.81632e13 | + | 1.81581e13i | 0.802509 | + | 0.802287i | ||||
\(269\) | −1.30252e13 | − | 1.30252e13i | −0.563828 | − | 0.563828i | 0.366564 | − | 0.930393i | \(-0.380534\pi\) |
−0.930393 | + | 0.366564i | \(0.880534\pi\) | |||||||
\(270\) | 1.01843e9 | + | 1.47354e13i | 4.31946e−5 | + | 0.624972i | ||||
\(271\) | −1.84540e13 | −0.766934 | −0.383467 | − | 0.923554i | \(-0.625270\pi\) | ||||
−0.383467 | + | 0.923554i | \(0.625270\pi\) | |||||||
\(272\) | −4.05488e13 | + | 1.12100e10i | −1.65139 | + | 0.000456539i | ||||
\(273\) | −1.62522e13 | −0.648661 | ||||||||
\(274\) | 1.57577e9 | + | 2.27995e13i | 6.16404e−5 | + | 0.891860i | ||||
\(275\) | 7.92441e12 | + | 7.92441e12i | 0.303834 | + | 0.303834i | ||||
\(276\) | −1.83544e13 | + | 1.83595e13i | −0.689829 | + | 0.690019i | ||||
\(277\) | 1.56562e13 | − | 1.56562e13i | 0.576828 | − | 0.576828i | −0.357200 | − | 0.934028i | \(-0.616268\pi\) |
0.934028 | + | 0.357200i | \(0.116268\pi\) | |||||||
\(278\) | 9.81220e12 | − | 9.81356e12i | 0.354421 | − | 0.354470i | ||||
\(279\) | − | 4.02078e13i | − | 1.42393i | ||||||
\(280\) | −2.86606e13 | − | 2.86488e13i | −0.995215 | − | 0.994802i | ||||
\(281\) | 5.12053e13i | 1.74353i | 0.489922 | + | 0.871766i | \(0.337025\pi\) | ||||
−0.489922 | + | 0.871766i | \(0.662975\pi\) | |||||||
\(282\) | 2.49732e13 | + | 2.49697e13i | 0.833879 | + | 0.833764i | ||||
\(283\) | 3.68160e10 | − | 3.68160e10i | 0.00120562 | − | 0.00120562i | −0.706504 | − | 0.707709i | \(-0.749729\pi\) |
0.707709 | + | 0.706504i | \(0.249729\pi\) | |||||||
\(284\) | −8.30823e9 | − | 6.01049e13i | −0.000266844 | − | 1.93045i | ||||
\(285\) | 3.24189e13 | + | 3.24189e13i | 1.02130 | + | 1.02130i | ||||
\(286\) | 1.72276e13 | − | 1.19068e9i | 0.532369 | − | 3.67944e-5i | ||||
\(287\) | 3.41286e13 | 1.03459 | ||||||||
\(288\) | 1.58087e10 | + | 4.57463e13i | 0.000470150 | + | 1.36050i | ||||
\(289\) | 5.91905e13 | 1.72708 | ||||||||
\(290\) | −3.85872e13 | + | 2.66693e9i | −1.10472 | + | 7.63524e-5i | ||||
\(291\) | 4.20227e13 | + | 4.20227e13i | 1.18052 | + | 1.18052i | ||||
\(292\) | −2.10948e9 | − | 1.52608e13i | −5.81526e−5 | − | 0.420698i | ||||
\(293\) | 7.30934e12 | − | 7.30934e12i | 0.197745 | − | 0.197745i | −0.601287 | − | 0.799033i | \(-0.705345\pi\) |
0.799033 | + | 0.601287i | \(0.205345\pi\) | |||||||
\(294\) | −2.27156e13 | − | 2.27124e13i | −0.603133 | − | 0.603050i | ||||
\(295\) | − | 4.33237e13i | − | 1.12903i | ||||||
\(296\) | 2.54797e12 | − | 2.54903e12i | 0.0651764 | − | 0.0652034i | ||||
\(297\) | − | 3.46851e13i | − | 0.870929i | ||||||
\(298\) | −1.87870e13 | + | 1.87896e13i | −0.463094 | + | 0.463158i | ||||
\(299\) | 6.28237e12 | − | 6.28237e12i | 0.152031 | − | 0.152031i | ||||
\(300\) | 1.24930e13 | − | 1.24964e13i | 0.296824 | − | 0.296906i | ||||
\(301\) | −4.58385e13 | − | 4.58385e13i | −1.06934 | − | 1.06934i | ||||
\(302\) | 1.02083e9 | + | 1.47701e13i | 2.33838e−5 | + | 0.338334i | ||||
\(303\) | −8.20741e13 | −1.84617 | ||||||||
\(304\) | 2.66758e13 | + | 2.66610e13i | 0.589267 | + | 0.588941i | ||||
\(305\) | −2.71322e13 | −0.588621 | ||||||||
\(306\) | −7.28758e9 | − | 1.05442e14i | −0.000155280 | − | 2.24671i | ||||
\(307\) | 5.00023e13 | + | 5.00023e13i | 1.04648 | + | 1.04648i | 0.998866 | + | 0.0476101i | \(0.0151605\pi\) |
0.0476101 | + | 0.998866i | \(0.484840\pi\) | |||||||
\(308\) | 6.74586e13 | + | 6.74400e13i | 1.38678 | + | 1.38640i | ||||
\(309\) | −4.58367e13 | + | 4.58367e13i | −0.925639 | + | 0.925639i | ||||
\(310\) | −4.20913e13 | + | 4.20971e13i | −0.835032 | + | 0.835148i | ||||
\(311\) | 8.72624e13i | 1.70077i | 0.526163 | + | 0.850384i | \(0.323630\pi\) | ||||
−0.526163 | + | 0.850384i | \(0.676370\pi\) | |||||||
\(312\) | −5.63216e9 | − | 2.71634e13i | −0.000107851 | − | 0.520157i | ||||
\(313\) | 5.00784e13i | 0.942229i | 0.882072 | + | 0.471114i | \(0.156148\pi\) | ||||
−0.882072 | + | 0.471114i | \(0.843852\pi\) | |||||||
\(314\) | −3.29940e13 | − | 3.29895e13i | −0.609989 | − | 0.609905i | ||||
\(315\) | 7.45130e13 | − | 7.45130e13i | 1.35371 | − | 1.35371i | ||||
\(316\) | −4.74071e13 | + | 6.55303e9i | −0.846378 | + | 0.000116994i | ||||
\(317\) | 5.46587e13 | + | 5.46587e13i | 0.959033 | + | 0.959033i | 0.999193 | − | 0.0401607i | \(-0.0127870\pi\) |
−0.0401607 | + | 0.999193i | \(0.512787\pi\) | |||||||
\(318\) | 2.49390e13 | − | 1.72364e9i | 0.430060 | − | 2.97234e-5i | ||||
\(319\) | 9.08290e13 | 1.53949 | ||||||||
\(320\) | 4.78727e13 | − | 4.79124e13i | 0.797559 | − | 0.798221i | ||||
\(321\) | −2.14062e13 | −0.350560 | ||||||||
\(322\) | 4.91933e13 | − | 3.39997e9i | 0.791951 | − | 5.47353e-5i | ||||
\(323\) | −6.14689e13 | − | 6.14689e13i | −0.972840 | − | 0.972840i | ||||
\(324\) | 3.27477e13 | − | 4.52668e9i | 0.509546 | − | 7.04340e-5i | ||||
\(325\) | −4.27610e12 | + | 4.27610e12i | −0.0654168 | + | 0.0654168i | ||||
\(326\) | −3.64029e13 | − | 3.63979e13i | −0.547569 | − | 0.547494i | ||||
\(327\) | 4.06959e13i | 0.601919i | ||||||||
\(328\) | 1.18272e10 | + | 5.70415e13i | 0.000172018 | + | 0.829630i | ||||
\(329\) | − | 6.69187e13i | − | 0.957128i | ||||||
\(330\) | −1.37032e14 | + | 1.37051e14i | −1.92750 | + | 1.92777i | ||||
\(331\) | −1.49745e13 | + | 1.49745e13i | −0.207156 | + | 0.207156i | −0.803058 | − | 0.595901i | \(-0.796795\pi\) |
0.595901 | + | 0.803058i | \(0.296795\pi\) | |||||||
\(332\) | 9.03000e12 | + | 9.02751e12i | 0.122865 | + | 0.122831i | ||||
\(333\) | 6.62706e12 | + | 6.62706e12i | 0.0886906 | + | 0.0886906i | ||||
\(334\) | −1.59102e9 | − | 2.30200e13i | −2.09444e−5 | − | 0.303040i | ||||
\(335\) | 9.88802e13 | 1.28045 | ||||||||
\(336\) | 1.06320e14 | − | 1.06379e14i | 1.35441 | − | 1.35516i | ||||
\(337\) | −6.74796e12 | −0.0845684 | −0.0422842 | − | 0.999106i | \(-0.513463\pi\) | ||||
−0.0422842 | + | 0.999106i | \(0.513463\pi\) | |||||||
\(338\) | −4.96295e9 | − | 7.18077e13i | −6.11925e−5 | − | 0.885379i | ||||
\(339\) | −1.07474e14 | − | 1.07474e14i | −1.30378 | − | 1.30378i | ||||
\(340\) | −1.10374e14 | + | 1.10404e14i | −1.31744 | + | 1.31781i | ||||
\(341\) | 9.90842e13 | − | 9.90842e13i | 1.16374 | − | 1.16374i | ||||
\(342\) | −6.93431e13 | + | 6.93527e13i | −0.801419 | + | 0.801530i | ||||
\(343\) | − | 4.87789e13i | − | 0.554772i | ||||||
\(344\) | 7.65971e13 | − | 7.66288e13i | 0.857315 | − | 0.857671i | ||||
\(345\) | 9.99492e13i | 1.10097i | ||||||||
\(346\) | −3.97356e13 | − | 3.97301e13i | −0.430786 | − | 0.430727i | ||||
\(347\) | −9.73980e13 | + | 9.73980e13i | −1.03929 | + | 1.03929i | −0.0400971 | + | 0.999196i | \(0.512767\pi\) |
−0.999196 | + | 0.0400971i | \(0.987233\pi\) | |||||||
\(348\) | −1.97962e10 | − | 1.43213e14i | −0.000207920 | − | 1.50417i | ||||
\(349\) | −8.34720e12 | − | 8.34720e12i | −0.0862980 | − | 0.0862980i | 0.662640 | − | 0.748938i | \(-0.269436\pi\) |
−0.748938 | + | 0.662640i | \(0.769436\pi\) | |||||||
\(350\) | −3.34834e13 | + | 2.31419e9i | −0.340766 | + | 2.35518e-5i | ||||
\(351\) | 1.87165e13 | 0.187515 | ||||||||
\(352\) | −1.12694e14 | + | 1.12772e14i | −1.11151 | + | 1.11228i | ||||
\(353\) | −9.06184e13 | −0.879945 | −0.439973 | − | 0.898011i | \(-0.645012\pi\) | ||||
−0.439973 | + | 0.898011i | \(0.645012\pi\) | |||||||
\(354\) | 1.60793e14 | − | 1.11131e10i | 1.53726 | − | 0.000106247i | ||||
\(355\) | −1.63628e14 | − | 1.63628e14i | −1.54029 | − | 1.54029i | ||||
\(356\) | 1.36663e10 | + | 9.88670e13i | 0.000126670 | + | 0.916382i | ||||
\(357\) | −2.45129e14 | + | 2.45129e14i | −2.23728 | + | 2.23728i | ||||
\(358\) | 6.82499e13 | + | 6.82405e13i | 0.613403 | + | 0.613318i | ||||
\(359\) | − | 7.14917e13i | − | 0.632756i | −0.948633 | − | 0.316378i | \(-0.897533\pi\) | ||
0.948633 | − | 0.316378i | \(-0.102467\pi\) | |||||||
\(360\) | 1.24565e14 | + | 1.24513e14i | 1.08575 | + | 1.08530i | ||||
\(361\) | − | 3.56358e13i | − | 0.305912i | ||||||
\(362\) | −2.03211e13 | + | 2.03239e13i | −0.171811 | + | 0.171834i | ||||
\(363\) | 1.92118e14 | − | 1.92118e14i | 1.59986 | − | 1.59986i | ||||
\(364\) | −3.63914e13 | + | 3.64015e13i | −0.298498 | + | 0.298580i | ||||
\(365\) | −4.15455e13 | − | 4.15455e13i | −0.335671 | − | 0.335671i | ||||
\(366\) | −6.95976e9 | − | 1.00699e14i | −5.53922e−5 | − | 0.801456i | ||||
\(367\) | 4.19051e12 | 0.0328552 | 0.0164276 | − | 0.999865i | \(-0.494771\pi\) | ||||
0.0164276 | + | 0.999865i | \(0.494771\pi\) | |||||||
\(368\) | 2.27304e10 | + | 8.22200e13i | 0.000175567 | + | 0.635060i | ||||
\(369\) | −1.48329e14 | −1.12871 | ||||||||
\(370\) | −9.59029e8 | − | 1.38760e13i | −7.18989e−6 | − | 0.104029i | ||||
\(371\) | −3.34159e13 | − | 3.34159e13i | −0.246829 | − | 0.246829i | ||||
\(372\) | −1.56251e14 | − | 1.56208e14i | −1.13720 | − | 1.13689i | ||||
\(373\) | 1.12134e14 | − | 1.12134e14i | 0.804153 | − | 0.804153i | −0.179589 | − | 0.983742i | \(-0.557477\pi\) |
0.983742 | + | 0.179589i | \(0.0574768\pi\) | |||||||
\(374\) | 2.59823e14 | − | 2.59859e14i | 1.83605 | − | 1.83630i | ||||
\(375\) | 1.80931e14i | 1.25991i | ||||||||
\(376\) | 1.11846e14 | − | 2.31905e10i | 0.767514 | − | 0.000159139i | ||||
\(377\) | 4.90124e13i | 0.331458i | ||||||||
\(378\) | 7.32835e13 | + | 7.32734e13i | 0.488429 | + | 0.488361i | ||||
\(379\) | −1.04153e14 | + | 1.04153e14i | −0.684154 | + | 0.684154i | −0.960934 | − | 0.276779i | \(-0.910733\pi\) |
0.276779 | + | 0.960934i | \(0.410733\pi\) | |||||||
\(380\) | 1.45203e14 | − | 2.00712e10i | 0.940081 | − | 0.000129946i | ||||
\(381\) | 2.85561e14 | + | 2.85561e14i | 1.82227 | + | 1.82227i | ||||
\(382\) | 2.24871e14 | − | 1.55418e10i | 1.41444 | − | 9.77583e-5i | ||||
\(383\) | −1.29233e14 | −0.801274 | −0.400637 | − | 0.916237i | \(-0.631211\pi\) | ||||
−0.400637 | + | 0.916237i | \(0.631211\pi\) | |||||||
\(384\) | 1.77835e14 | + | 1.77663e14i | 1.08692 | + | 1.08587i | ||||
\(385\) | 3.67245e14 | 2.21270 | ||||||||
\(386\) | −1.22646e14 | + | 8.47660e9i | −0.728489 | + | 5.03491e-5i | ||||
\(387\) | 1.99223e14 | + | 1.99223e14i | 1.16662 | + | 1.16662i | ||||
\(388\) | 1.88218e14 | − | 2.60171e10i | 1.08664 | − | 0.000150205i | ||||
\(389\) | −2.24630e14 | + | 2.24630e14i | −1.27863 | + | 1.27863i | −0.337198 | + | 0.941434i | \(0.609479\pi\) |
−0.941434 | + | 0.337198i | \(0.890521\pi\) | |||||||
\(390\) | −7.39542e13 | − | 7.39440e13i | −0.415057 | − | 0.414999i | ||||
\(391\) | − | 1.89512e14i | − | 1.04873i | ||||||
\(392\) | −1.01735e14 | + | 2.10940e10i | −0.555132 | + | 0.000115103i | ||||
\(393\) | − | 4.43217e14i | − | 2.38483i | ||||||
\(394\) | −2.35217e14 | + | 2.35249e14i | −1.24807 | + | 1.24824i | ||||
\(395\) | −1.29060e14 | + | 1.29060e14i | −0.675316 | + | 0.675316i | ||||
\(396\) | −2.93188e14 | − | 2.93107e14i | −1.51294 | − | 1.51252i | ||||
\(397\) | −2.06448e14 | − | 2.06448e14i | −1.05066 | − | 1.05066i | −0.998646 | − | 0.0520169i | \(-0.983435\pi\) |
−0.0520169 | − | 0.998646i | \(-0.516565\pi\) | |||||||
\(398\) | −3.87952e9 | − | 5.61318e13i | −1.94725e−5 | − | 0.281742i | ||||
\(399\) | 3.22436e14 | 1.59622 | ||||||||
\(400\) | −1.54714e10 | − | 5.59631e13i | −7.55442e−5 | − | 0.273257i | ||||
\(401\) | 1.77354e14 | 0.854177 | 0.427089 | − | 0.904210i | \(-0.359539\pi\) | ||||
0.427089 | + | 0.904210i | \(0.359539\pi\) | |||||||
\(402\) | 2.53641e10 | + | 3.66986e14i | 0.000120497 | + | 1.74344i | ||||
\(403\) | 5.34670e13 | + | 5.34670e13i | 0.250558 | + | 0.250558i | ||||
\(404\) | −1.83777e14 | + | 1.83828e14i | −0.849561 | + | 0.849796i | ||||
\(405\) | 8.91516e13 | − | 8.91516e13i | 0.406562 | − | 0.406562i | ||||
\(406\) | −1.91879e14 | + | 1.91906e14i | −0.863246 | + | 0.863365i | ||||
\(407\) | 3.26621e13i | 0.144969i | ||||||||
\(408\) | −4.09786e14 | − | 4.09616e14i | −1.79443 | − | 1.79368i | ||||
\(409\) | − | 3.56385e14i | − | 1.53972i | −0.638213 | − | 0.769860i | \(-0.720326\pi\) | ||
0.638213 | − | 0.769860i | \(-0.279674\pi\) | |||||||
\(410\) | 1.55299e14 | + | 1.55278e14i | 0.661999 | + | 0.661908i | ||||
\(411\) | −2.30363e14 | + | 2.30363e14i | −0.968910 | + | 0.968910i | ||||
\(412\) | 2.83785e10 | + | 2.05300e14i | 0.000117775 | + | 0.852031i | ||||
\(413\) | −2.15447e14 | − | 2.15447e14i | −0.882298 | − | 0.882298i | ||||
\(414\) | −2.13803e14 | + | 1.47769e10i | −0.863997 | + | 5.97147e-5i | ||||
\(415\) | 4.91593e13 | 0.196039 | ||||||||
\(416\) | −6.08528e13 | − | 6.08108e13i | −0.239479 | − | 0.239314i | ||||
\(417\) | 1.98296e14 | 0.770135 | ||||||||
\(418\) | −3.41788e14 | + | 2.36225e10i | −1.31005 | + | 9.05433e-5i | ||||
\(419\) | 2.71801e14 | + | 2.71801e14i | 1.02819 | + | 1.02819i | 0.999591 | + | 0.0286012i | \(0.00910529\pi\) |
0.0286012 | + | 0.999591i | \(0.490895\pi\) | |||||||
\(420\) | −8.00412e10 | − | 5.79048e14i | −0.000298842 | − | 2.16194i | ||||
\(421\) | 5.71653e13 | − | 5.71653e13i | 0.210660 | − | 0.210660i | −0.593888 | − | 0.804548i | \(-0.702408\pi\) |
0.804548 | + | 0.593888i | \(0.202408\pi\) | |||||||
\(422\) | −1.17583e14 | − | 1.17566e14i | −0.427686 | − | 0.427626i | ||||
\(423\) | 2.90841e14i | 1.04420i | ||||||||
\(424\) | 5.58386e13 | − | 5.58618e13i | 0.197889 | − | 0.197971i | ||||
\(425\) | 1.28991e14i | 0.451254i | ||||||||
\(426\) | 6.07251e14 | − | 6.07335e14i | 2.09708 | − | 2.09737i | ||||
\(427\) | −1.34927e14 | + | 1.34927e14i | −0.459988 | + | 0.459988i | ||||
\(428\) | −4.79321e13 | + | 4.79454e13i | −0.161319 | + | 0.161364i | ||||
\(429\) | 1.74066e14 | + | 1.74066e14i | 0.578361 | + | 0.578361i | ||||
\(430\) | −2.88303e10 | − | 4.17139e14i | −9.45742e−5 | − | 1.36837i | ||||
\(431\) | 4.62177e13 | 0.149687 | 0.0748434 | − | 0.997195i | \(-0.476154\pi\) | ||||
0.0748434 | + | 0.997195i | \(0.476154\pi\) | |||||||
\(432\) | −1.22441e14 | + | 1.22509e14i | −0.391532 | + | 0.391749i | ||||
\(433\) | −2.17070e14 | −0.685356 | −0.342678 | − | 0.939453i | \(-0.611334\pi\) | ||||
−0.342678 | + | 0.939453i | \(0.611334\pi\) | |||||||
\(434\) | 2.89358e10 | + | 4.18666e14i | 9.02075e−5 | + | 1.30519i | ||||
\(435\) | −3.89880e14 | − | 3.89880e14i | −1.20016 | − | 1.20016i | ||||
\(436\) | 9.11500e13 | + | 9.11248e13i | 0.277065 | + | 0.276988i | ||||
\(437\) | −1.24639e14 | + | 1.24639e14i | −0.374117 | + | 0.374117i | ||||
\(438\) | 1.54182e14 | − | 1.54204e14i | 0.457011 | − | 0.457075i | ||||
\(439\) | 2.67074e14i | 0.781766i | 0.920440 | + | 0.390883i | \(0.127830\pi\) | ||||
−0.920440 | + | 0.390883i | \(0.872170\pi\) | |||||||
\(440\) | 1.27268e11 | + | 6.13801e14i | 0.000367899 | + | 1.77435i | ||||
\(441\) | − | 2.64549e14i | − | 0.755255i | ||||||
\(442\) | 1.40223e14 | + | 1.40204e14i | 0.395364 | + | 0.395309i | ||||
\(443\) | 2.39831e14 | − | 2.39831e14i | 0.667858 | − | 0.667858i | −0.289362 | − | 0.957220i | \(-0.593443\pi\) |
0.957220 | + | 0.289362i | \(0.0934431\pi\) | |||||||
\(444\) | 5.14995e13 | − | 7.11872e9i | 0.141644 | − | 1.95792e-5i | ||||
\(445\) | 2.69153e14 | + | 2.69153e14i | 0.731172 | + | 0.731172i | ||||
\(446\) | 1.50201e14 | − | 1.03811e10i | 0.403025 | − | 2.78548e-5i | ||||
\(447\) | −3.79670e14 | −1.00627 | ||||||||
\(448\) | −1.97530e11 | − | 4.76335e14i | −0.000517135 | − | 1.24705i | ||||
\(449\) | 5.87700e14 | 1.51985 | 0.759925 | − | 0.650011i | \(-0.225236\pi\) | ||||
0.759925 | + | 0.650011i | \(0.225236\pi\) | |||||||
\(450\) | 1.45525e14 | − | 1.00579e10i | 0.371766 | − | 2.56944e-5i | ||||
\(451\) | −3.65528e14 | − | 3.65528e14i | −0.922464 | − | 0.922464i | ||||
\(452\) | −4.81369e14 | + | 6.65391e10i | −1.20010 | + | 0.000165888i | ||||
\(453\) | −1.49236e14 | + | 1.49236e14i | −0.367564 | + | 0.367564i | ||||
\(454\) | 1.20735e14 | + | 1.20718e14i | 0.293782 | + | 0.293742i | ||||
\(455\) | 1.98170e14i | 0.476403i | ||||||||
\(456\) | 1.11739e11 | + | 5.38909e14i | 0.000265399 | + | 1.28000i | ||||
\(457\) | 4.52197e14i | 1.06118i | 0.847629 | + | 0.530589i | \(0.178029\pi\) | ||||
−0.847629 | + | 0.530589i | \(0.821971\pi\) | |||||||
\(458\) | 2.29260e14 | − | 2.29292e14i | 0.531580 | − | 0.531653i | ||||
\(459\) | 2.82297e14 | − | 2.82297e14i | 0.646751 | − | 0.646751i | ||||
\(460\) | 2.23865e14 | + | 2.23803e14i | 0.506778 | + | 0.506638i | ||||
\(461\) | −5.12674e14 | − | 5.12674e14i | −1.14680 | − | 1.14680i | −0.987179 | − | 0.159616i | \(-0.948974\pi\) |
−0.159616 | − | 0.987179i | \(-0.551026\pi\) | |||||||
\(462\) | 9.42031e10 | + | 1.36300e15i | 0.000208226 | + | 3.01277i | ||||
\(463\) | 2.55229e14 | 0.557486 | 0.278743 | − | 0.960366i | \(-0.410082\pi\) | ||||
0.278743 | + | 0.960366i | \(0.410082\pi\) | |||||||
\(464\) | −3.20811e14 | − | 3.20634e14i | −0.692470 | − | 0.692087i | ||||
\(465\) | −8.50631e14 | −1.81447 | ||||||||
\(466\) | −3.95850e10 | − | 5.72745e14i | −8.34465e−5 | − | 1.20737i | ||||
\(467\) | 1.22952e14 | + | 1.22952e14i | 0.256148 | + | 0.256148i | 0.823485 | − | 0.567337i | \(-0.192026\pi\) |
−0.567337 | + | 0.823485i | \(0.692026\pi\) | |||||||
\(468\) | 1.58164e14 | − | 1.58208e14i | 0.325653 | − | 0.325743i | ||||
\(469\) | 4.91727e14 | − | 4.91727e14i | 1.00063 | − | 1.00063i | ||||
\(470\) | 3.04465e14 | − | 3.04507e14i | 0.612350 | − | 0.612435i | ||||
\(471\) | − | 6.66690e14i | − | 1.32528i | ||||||
\(472\) | 3.60017e14 | − | 3.60166e14i | 0.707362 | − | 0.707655i | ||||
\(473\) | 9.81888e14i | 1.90689i | ||||||||
\(474\) | −4.79029e14 | − | 4.78963e14i | −0.919562 | − | 0.919435i | ||||
\(475\) | 8.48358e13 | − | 8.48358e13i | 0.160977 | − | 0.160977i | ||||
\(476\) | 1.51764e11 | + | 1.09792e15i | 0.000284664 | + | 2.05936i | ||||
\(477\) | 1.45232e14 | + | 1.45232e14i | 0.269284 | + | 0.269284i | ||||
\(478\) | 1.70125e14 | − | 1.17581e10i | 0.311828 | − | 2.15518e-5i | ||||
\(479\) | 2.71050e14 | 0.491139 | 0.245569 | − | 0.969379i | \(-0.421025\pi\) | ||||
0.245569 | + | 0.969379i | \(0.421025\pi\) | |||||||
\(480\) | 9.67802e14 | − | 3.34446e11i | 1.73364 | − | 0.000599099i | ||||
\(481\) | −1.76249e13 | −0.0312124 | ||||||||
\(482\) | −2.50311e14 | + | 1.73001e10i | −0.438250 | + | 3.02894e-5i | ||||
\(483\) | 4.97043e14 | + | 4.97043e14i | 0.860369 | + | 0.860369i | ||||
\(484\) | −1.18944e11 | − | 8.60487e14i | −0.000203561 | − | 1.47263i | ||||
\(485\) | 5.12399e14 | − | 5.12399e14i | 0.867019 | − | 0.867019i | ||||
\(486\) | 5.65011e14 | + | 5.64932e14i | 0.945273 | + | 0.945142i | ||||
\(487\) | − | 3.77246e14i | − | 0.624045i | −0.950075 | − | 0.312022i | \(-0.898994\pi\) | ||
0.950075 | − | 0.312022i | \(-0.101006\pi\) | |||||||
\(488\) | −2.25560e14 | − | 2.25466e14i | −0.368938 | − | 0.368785i | ||||
\(489\) | − | 7.35571e14i | − | 1.18967i | ||||||
\(490\) | −2.76941e14 | + | 2.76980e14i | −0.442904 | + | 0.442965i | ||||
\(491\) | −4.41994e14 | + | 4.41994e14i | −0.698985 | + | 0.698985i | −0.964192 | − | 0.265207i | \(-0.914560\pi\) |
0.265207 | + | 0.964192i | \(0.414560\pi\) | |||||||
\(492\) | −5.76261e14 | + | 5.76420e14i | −0.901179 | + | 0.901428i | ||||
\(493\) | 7.39245e14 | + | 7.39245e14i | 1.14322 | + | 1.14322i | ||||
\(494\) | −1.27470e10 | − | 1.84433e14i | −1.94943e−5 | − | 0.282059i | ||||
\(495\) | −1.59611e15 | −2.41399 | ||||||||
\(496\) | −6.99744e14 | + | 1.93450e11i | −1.04662 | + | 0.000289347i | ||||
\(497\) | −1.62743e15 | −2.40737 | ||||||||
\(498\) | 1.26100e10 | + | 1.82451e14i | 1.84482e−5 | + | 0.266922i | ||||
\(499\) | −5.44840e14 | − | 5.44840e14i | −0.788344 | − | 0.788344i | 0.192878 | − | 0.981223i | \(-0.438218\pi\) |
−0.981223 | + | 0.192878i | \(0.938218\pi\) | |||||||
\(500\) | 4.05246e14 | + | 4.05134e14i | 0.579941 | + | 0.579781i | ||||
\(501\) | 2.32592e14 | − | 2.32592e14i | 0.329220 | − | 0.329220i | ||||
\(502\) | −1.38910e14 | + | 1.38929e14i | −0.194475 | + | 0.194502i | ||||
\(503\) | 3.71015e14i | 0.513768i | 0.966442 | + | 0.256884i | \(0.0826958\pi\) | ||||
−0.966442 | + | 0.256884i | \(0.917304\pi\) | |||||||
\(504\) | 1.23865e15 | − | 2.56826e11i | 1.69661 | − | 0.000351780i | ||||
\(505\) | 1.00076e15i | 1.35590i | ||||||||
\(506\) | −5.26911e14 | − | 5.26838e14i | −0.706171 | − | 0.706073i | ||||
\(507\) | 7.25537e14 | − | 7.25537e14i | 0.961869 | − | 0.961869i | ||||
\(508\) | 1.27902e15 | − | 1.76797e11i | 1.67736 | − | 0.000231859i | ||||
\(509\) | −7.69790e14 | − | 7.69790e14i | −0.998676 | − | 0.998676i | 0.00132283 | − | 0.999999i | \(-0.499579\pi\) |
−0.999999 | + | 0.00132283i | \(0.999579\pi\) | |||||||
\(510\) | −2.23072e15 | + | 1.54175e11i | −2.86292 | + | 0.000197869i | ||||
\(511\) | −4.13208e14 | −0.524631 | ||||||||
\(512\) | 7.96131e14 | − | 4.95218e11i | 1.00000 | − | 0.000622030i | ||||
\(513\) | −3.71326e14 | −0.461434 | ||||||||
\(514\) | 7.75556e13 | − | 5.36021e9i | 0.0953489 | − | 6.58999e-6i | ||||
\(515\) | 5.58905e14 | + | 5.58905e14i | 0.679827 | + | 0.679827i | ||||
\(516\) | 1.54818e15 | − | 2.14003e11i | 1.86315 | − | 0.000257541i | ||||
\(517\) | −7.16720e14 | + | 7.16720e14i | −0.853398 | + | 0.853398i | ||||
\(518\) | −6.90093e13 | − | 6.89998e13i | −0.0813006 | − | 0.0812894i | ||||
\(519\) | − | 8.02914e14i | − | 0.935941i | ||||||
\(520\) | −3.31214e14 | + | 6.86751e10i | −0.382024 | + | 7.92101e-5i | ||||
\(521\) | 1.01193e14i | 0.115489i | 0.998331 | + | 0.0577447i | \(0.0183909\pi\) | ||||
−0.998331 | + | 0.0577447i | \(0.981609\pi\) | |||||||
\(522\) | 8.33942e14 | − | 8.34058e14i | 0.941777 | − | 0.941907i | ||||
\(523\) | 2.30526e14 | − | 2.30526e14i | 0.257608 | − | 0.257608i | −0.566472 | − | 0.824081i | \(-0.691692\pi\) |
0.824081 | + | 0.566472i | \(0.191692\pi\) | |||||||
\(524\) | −9.92711e14 | − | 9.92437e14i | −1.09774 | − | 1.09744i | ||||
\(525\) | −3.38313e14 | − | 3.38313e14i | −0.370205 | − | 0.370205i | ||||
\(526\) | −3.17455e10 | − | 4.59318e14i | −3.43764e−5 | − | 0.497384i | ||||
\(527\) | 1.61286e15 | 1.72838 | ||||||||
\(528\) | −2.27808e15 | + | 6.29792e11i | −2.41591 | + | 0.000667899i | ||||
\(529\) | 5.68541e14 | 0.596699 | ||||||||
\(530\) | −2.10170e10 | − | 3.04090e14i | −2.18300e−5 | − | 0.315853i | ||||
\(531\) | 9.36373e14 | + | 9.36373e14i | 0.962562 | + | 0.962562i | ||||
\(532\) | 7.21988e14 | − | 7.22187e14i | 0.734541 | − | 0.734744i | ||||
\(533\) | 1.97243e14 | − | 1.97243e14i | 0.198610 | − | 0.198610i | ||||
\(534\) | −9.98873e14 | + | 9.99011e14i | −0.995481 | + | 0.995619i | ||||
\(535\) | 2.61015e14i | 0.257465i | ||||||||
\(536\) | 8.22027e14 | + | 8.21686e14i | 0.802564 | + | 0.802232i | ||||
\(537\) | 1.37908e15i | 1.33270i | ||||||||
\(538\) | −5.89494e14 | − | 5.89413e14i | −0.563867 | − | 0.563790i | ||||
\(539\) | 6.51928e14 | − | 6.51928e14i | 0.617250 | − | 0.617250i | ||||
\(540\) | 9.21776e10 | + | 6.66847e14i | 8.63892e−5 | + | 0.624972i | ||||
\(541\) | −3.94835e14 | − | 3.94835e14i | −0.366295 | − | 0.366295i | 0.499829 | − | 0.866124i | \(-0.333396\pi\) |
−0.866124 | + | 0.499829i | \(0.833396\pi\) | |||||||
\(542\) | −8.35130e14 | + | 5.77196e10i | −0.766934 | + | 5.30063e-5i | ||||
\(543\) | −4.10672e14 | −0.373333 | ||||||||
\(544\) | −1.83503e15 | + | 6.34136e11i | −1.65139 | + | 0.000570674i | ||||
\(545\) | 4.96221e14 | 0.442073 | ||||||||
\(546\) | −7.35491e14 | + | 5.08331e10i | −0.648661 | + | 4.48319e-5i | ||||
\(547\) | 2.85865e14 | + | 2.85865e14i | 0.249592 | + | 0.249592i | 0.820803 | − | 0.571211i | \(-0.193526\pi\) |
−0.571211 | + | 0.820803i | \(0.693526\pi\) | |||||||
\(548\) | 1.42623e11 | + | 1.03179e15i | 0.000123281 | + | 0.891860i | ||||
\(549\) | 5.86419e14 | − | 5.86419e14i | 0.501834 | − | 0.501834i | ||||
\(550\) | 3.58643e14 | + | 3.58593e14i | 0.303855 | + | 0.303813i | ||||
\(551\) | − | 9.72382e14i | − | 0.815648i | ||||||
\(552\) | −8.30570e14 | + | 8.30914e14i | −0.689781 | + | 0.690067i | ||||
\(553\) | 1.28362e15i | 1.05547i | ||||||||
\(554\) | 7.08468e14 | − | 7.08566e14i | 0.576789 | − | 0.576868i | ||||
\(555\) | 1.40201e14 | − | 1.40201e14i | 0.113016 | − | 0.113016i | ||||
\(556\) | 4.44019e14 | − | 4.44142e14i | 0.354397 | − | 0.354495i | ||||
\(557\) | 6.89000e13 | + | 6.89000e13i | 0.0544522 | + | 0.0544522i | 0.733809 | − | 0.679356i | \(-0.237741\pi\) |
−0.679356 | + | 0.733809i | \(0.737741\pi\) | |||||||
\(558\) | −1.25761e11 | − | 1.81960e15i | −9.84139e−5 | − | 1.42393i | ||||
\(559\) | −5.29838e14 | −0.410562 | ||||||||
\(560\) | −1.29712e15 | − | 1.29641e15i | −0.995283 | − | 0.994733i | ||||
\(561\) | 5.25081e15 | 3.98961 | ||||||||
\(562\) | 1.60158e11 | + | 2.31729e15i | 0.000120503 | + | 1.74353i | ||||
\(563\) | 2.79657e14 | + | 2.79657e14i | 0.208367 | + | 0.208367i | 0.803573 | − | 0.595206i | \(-0.202930\pi\) |
−0.595206 | + | 0.803573i | \(0.702930\pi\) | |||||||
\(564\) | 1.13023e15 | + | 1.12992e15i | 0.833937 | + | 0.833707i | ||||
\(565\) | −1.31047e15 | + | 1.31047e15i | −0.957547 | + | 0.957547i | ||||
\(566\) | 1.66599e12 | − | 1.66622e12i | 0.00120554 | − | 0.00120570i | ||||
\(567\) | − | 8.86694e14i | − | 0.635429i | ||||||
\(568\) | −5.63982e11 | − | 2.72004e15i | −0.000400266 | − | 1.93045i | ||||
\(569\) | − | 1.64126e15i | − | 1.15361i | −0.816881 | − | 0.576807i | \(-0.804299\pi\) | ||
0.816881 | − | 0.576807i | \(-0.195701\pi\) | |||||||
\(570\) | 1.46721e15 | + | 1.46701e15i | 1.02137 | + | 1.02123i | ||||
\(571\) | −1.29829e15 | + | 1.29829e15i | −0.895100 | + | 0.895100i | −0.994998 | − | 0.0998976i | \(-0.968148\pi\) |
0.0998976 | + | 0.994998i | \(0.468148\pi\) | |||||||
\(572\) | 7.79634e14 | − | 1.07768e11i | 0.532369 | − | 7.35887e-5i | ||||
\(573\) | 2.27207e15 | + | 2.27207e15i | 1.53664 | + | 1.53664i | ||||
\(574\) | 1.54448e15 | − | 1.06746e11i | 1.03459 | − | 7.15051e-5i | ||||
\(575\) | 2.61553e14 | 0.173535 | ||||||||
\(576\) | 8.58502e11 | + | 2.07024e15i | 0.000564180 | + | 1.36050i | ||||
\(577\) | −1.84725e15 | −1.20242 | −0.601212 | − | 0.799089i | \(-0.705315\pi\) | ||||
−0.601212 | + | 0.799089i | \(0.705315\pi\) | |||||||
\(578\) | 2.67865e15 | − | 1.85134e11i | 1.72708 | − | 0.000119367i | ||||
\(579\) | −1.23920e15 | − | 1.23920e15i | −0.791424 | − | 0.791424i | ||||
\(580\) | −1.74626e15 | + | 2.41383e11i | −1.10472 | + | 0.000152705i | ||||
\(581\) | 2.44467e14 | − | 2.44467e14i | 0.153198 | − | 0.153198i | ||||
\(582\) | 1.90186e15 | + | 1.90160e15i | 1.18060 | + | 1.18044i | ||||
\(583\) | 7.15788e14i | 0.440157i | ||||||||
\(584\) | −1.43196e11 | − | 6.90623e14i | −8.72289e−5 | − | 0.420698i | ||||
\(585\) | − | 8.61282e14i | − | 0.519742i | ||||||
\(586\) | 3.30760e14 | − | 3.30806e14i | 0.197732 | − | 0.197759i | ||||
\(587\) | 7.54803e14 | − | 7.54803e14i | 0.447017 | − | 0.447017i | −0.447345 | − | 0.894362i | \(-0.647630\pi\) |
0.894362 | + | 0.447345i | \(0.147630\pi\) | |||||||
\(588\) | −1.02806e15 | − | 1.02778e15i | −0.603175 | − | 0.603008i | ||||
\(589\) | −1.06076e15 | − | 1.06076e15i | −0.616570 | − | 0.616570i | ||||
\(590\) | −1.35506e11 | − | 1.96061e15i | −7.80321e−5 | − | 1.12903i | ||||
\(591\) | −4.75354e15 | −2.71198 | ||||||||
\(592\) | 1.15300e14 | − | 1.15364e14i | 0.0651719 | − | 0.0652079i | ||||
\(593\) | −2.83705e15 | −1.58879 | −0.794393 | − | 0.607404i | \(-0.792211\pi\) | ||||
−0.794393 | + | 0.607404i | \(0.792211\pi\) | |||||||
\(594\) | −1.08487e11 | − | 1.56967e15i | −6.01938e−5 | − | 0.870929i | ||||
\(595\) | 2.98896e15 | + | 2.98896e15i | 1.64315 | + | 1.64315i | ||||
\(596\) | −8.50145e14 | + | 8.50380e14i | −0.463062 | + | 0.463190i | ||||
\(597\) | 5.67150e14 | − | 5.67150e14i | 0.306083 | − | 0.306083i | ||||
\(598\) | 2.84288e14 | − | 2.84327e14i | 0.152021 | − | 0.152042i | ||||
\(599\) | − | 1.42147e15i | − | 0.753167i | −0.926383 | − | 0.376584i | \(-0.877099\pi\) | ||
0.926383 | − | 0.376584i | \(-0.122901\pi\) | |||||||
\(600\) | 5.65328e14 | − | 5.65562e14i | 0.296803 | − | 0.296926i | ||||
\(601\) | − | 1.37212e15i | − | 0.713810i | −0.934141 | − | 0.356905i | \(-0.883832\pi\) | ||
0.934141 | − | 0.356905i | \(-0.116168\pi\) | |||||||
\(602\) | −2.07456e15 | − | 2.07427e15i | −1.06941 | − | 1.06926i | ||||
\(603\) | −2.13714e15 | + | 2.13714e15i | −1.09166 | + | 1.09166i | ||||
\(604\) | 9.23949e10 | + | 6.68420e14i | 4.67676e−5 | + | 0.338334i | ||||
\(605\) | −2.34257e15 | − | 2.34257e15i | −1.17500 | − | 1.17500i | ||||
\(606\) | −3.71425e15 | + | 2.56708e11i | −1.84617 | + | 0.000127597i | ||||
\(607\) | 9.58569e14 | 0.472156 | 0.236078 | − | 0.971734i | \(-0.424138\pi\) | ||||
0.236078 | + | 0.971734i | \(0.424138\pi\) | |||||||
\(608\) | 1.20729e15 | + | 1.20646e15i | 0.589308 | + | 0.588901i | ||||
\(609\) | −3.87772e15 | −1.87578 | ||||||||
\(610\) | −1.22786e15 | + | 8.48631e10i | −0.588621 | + | 4.06822e-5i | ||||
\(611\) | −3.86750e14 | − | 3.86750e14i | −0.183740 | − | 0.183740i | ||||
\(612\) | −6.59597e11 | − | 4.77177e15i | −0.000310560 | − | 2.24671i | ||||
\(613\) | 1.16692e15 | − | 1.16692e15i | 0.544512 | − | 0.544512i | −0.380336 | − | 0.924848i | \(-0.624192\pi\) |
0.924848 | + | 0.380336i | \(0.124192\pi\) | |||||||
\(614\) | 2.26300e15 | + | 2.26269e15i | 1.04655 | + | 1.04640i | ||||
\(615\) | 3.13803e15i | 1.43828i | ||||||||
\(616\) | 3.05304e15 | + | 3.05177e15i | 1.38688 | + | 1.38630i | ||||
\(617\) | − | 1.66121e15i | − | 0.747920i | −0.927445 | − | 0.373960i | \(-0.878000\pi\) | ||
0.927445 | − | 0.373960i | \(-0.122000\pi\) | |||||||
\(618\) | −2.07419e15 | + | 2.07448e15i | −0.925576 | + | 0.925703i | ||||
\(619\) | −1.32258e15 | + | 1.32258e15i | −0.584958 | + | 0.584958i | −0.936262 | − | 0.351304i | \(-0.885738\pi\) |
0.351304 | + | 0.936262i | \(0.385738\pi\) | |||||||
\(620\) | −1.90470e15 | + | 1.90523e15i | −0.834975 | + | 0.835205i | ||||
\(621\) | −5.72409e14 | − | 5.72409e14i | −0.248715 | − | 0.248715i | ||||
\(622\) | 2.72936e11 | + | 3.94905e15i | 0.000117548 | + | 1.70077i | ||||
\(623\) | 2.67698e15 | 1.14277 | ||||||||
\(624\) | −3.39843e11 | − | 1.22928e15i | −0.000143801 | − | 0.520157i | ||||
\(625\) | 2.85766e15 | 1.19859 | ||||||||
\(626\) | 1.56633e11 | + | 2.26629e15i | 6.51216e−5 | + | 0.942229i | ||||
\(627\) | −3.45339e15 | − | 3.45339e15i | −1.42323 | − | 1.42323i | ||||
\(628\) | −1.49324e15 | − | 1.49283e15i | −0.610031 | − | 0.609863i | ||||
\(629\) | −2.65832e14 | + | 2.65832e14i | −0.107654 | + | 0.107654i | ||||
\(630\) | 3.37184e15 | − | 3.37231e15i | 1.35361 | − | 1.35380i | ||||
\(631\) | 3.87984e15i | 1.54402i | 0.635612 | + | 0.772009i | \(0.280748\pi\) | ||||
−0.635612 | + | 0.772009i | \(0.719252\pi\) | |||||||
\(632\) | −2.14540e15 | + | 4.44834e11i | −0.846378 | + | 0.000175491i | ||||
\(633\) | − | 2.37592e15i | − | 0.929204i | ||||||
\(634\) | 2.47374e15 | + | 2.47340e15i | 0.959099 | + | 0.958966i | ||||
\(635\) | 3.48196e15 | − | 3.48196e15i | 1.33835 | − | 1.33835i | ||||
\(636\) | 1.12861e15 | − | 1.56006e11i | 0.430060 | − | 5.94467e-5i | ||||
\(637\) | 3.51788e14 | + | 3.51788e14i | 0.132897 | + | 0.132897i | ||||
\(638\) | 4.11045e15 | − | 2.84092e11i | 1.53949 | − | 0.000106401i | ||||
\(639\) | 7.07312e15 | 2.62637 | ||||||||
\(640\) | 2.16632e15 | − | 2.16842e15i | 0.797504 | − | 0.798276i | ||||
\(641\) | −5.57445e14 | −0.203462 | −0.101731 | − | 0.994812i | \(-0.532438\pi\) | ||||
−0.101731 | + | 0.994812i | \(0.532438\pi\) | |||||||
\(642\) | −9.68736e14 | + | 6.69536e10i | −0.350560 | + | 2.42288e-5i | ||||
\(643\) | −3.17954e15 | − | 3.17954e15i | −1.14079 | − | 1.14079i | −0.988307 | − | 0.152480i | \(-0.951274\pi\) |
−0.152480 | − | 0.988307i | \(-0.548726\pi\) | |||||||
\(644\) | 2.22623e15 | − | 3.07730e11i | 0.791951 | − | 0.000109471i | ||||
\(645\) | 4.21472e15 | − | 4.21472e15i | 1.48659 | − | 1.48659i | ||||
\(646\) | −2.78196e15 | − | 2.78157e15i | −0.972908 | − | 0.972773i | ||||
\(647\) | 2.20708e15i | 0.765324i | 0.923888 | + | 0.382662i | \(0.124993\pi\) | ||||
−0.923888 | + | 0.382662i | \(0.875007\pi\) | |||||||
\(648\) | 1.48199e15 | − | 3.07281e11i | 0.509546 | − | 0.000105651i | ||||
\(649\) | 4.61501e15i | 1.57335i | ||||||||
\(650\) | −1.93501e14 | + | 1.93528e14i | −0.0654123 | + | 0.0654214i | ||||
\(651\) | −4.23015e15 | + | 4.23015e15i | −1.41795 | + | 1.41795i | ||||
\(652\) | −1.64752e15 | − | 1.64707e15i | −0.547607 | − | 0.547456i | ||||
\(653\) | 2.46010e15 | + | 2.46010e15i | 0.810832 | + | 0.810832i | 0.984759 | − | 0.173926i | \(-0.0556455\pi\) |
−0.173926 | + | 0.984759i | \(0.555645\pi\) | |||||||
\(654\) | 1.27287e11 | + | 1.84169e15i | 4.16013e−5 | + | 0.601919i | ||||
\(655\) | −5.40432e15 | −1.75152 | ||||||||
\(656\) | 7.13649e11 | + | 2.58140e15i | 0.000229358 | + | 0.829630i | ||||
\(657\) | 1.79588e15 | 0.572358 | ||||||||
\(658\) | −2.09306e11 | − | 3.02840e15i | −6.61514e−5 | − | 0.957128i | ||||
\(659\) | 9.41322e13 | + | 9.41322e13i | 0.0295032 | + | 0.0295032i | 0.721704 | − | 0.692201i | \(-0.243359\pi\) |
−0.692201 | + | 0.721704i | \(0.743359\pi\) | |||||||
\(660\) | −6.20092e15 | + | 6.20264e15i | −1.92737 | + | 1.92790i | ||||
\(661\) | −1.97944e15 | + | 1.97944e15i | −0.610148 | + | 0.610148i | −0.942984 | − | 0.332837i | \(-0.891994\pi\) |
0.332837 | + | 0.942984i | \(0.391994\pi\) | |||||||
\(662\) | −6.77622e14 | + | 6.77716e14i | −0.207142 | + | 0.207171i | ||||
\(663\) | 2.83340e15i | 0.858981i | ||||||||
\(664\) | 4.08679e14 | + | 4.08510e14i | 0.122874 | + | 0.122823i | ||||
\(665\) | − | 3.93159e15i | − | 1.17233i | ||||||
\(666\) | 2.99927e14 | + | 2.99886e14i | 0.0886967 | + | 0.0886845i | ||||
\(667\) | 1.49895e15 | − | 1.49895e15i | 0.439638 | − | 0.439638i | ||||
\(668\) | −1.44002e11 | − | 1.04177e15i | −4.18889e−5 | − | 0.303040i | ||||
\(669\) | 1.51762e15 | + | 1.51762e15i | 0.437843 | + | 0.437843i | ||||
\(670\) | 4.47481e15 | − | 3.09274e11i | 1.28045 | − | 8.84977e-5i | ||||
\(671\) | 2.89022e15 | 0.820272 | ||||||||
\(672\) | 4.81118e15 | − | 4.81450e15i | 1.35432 | − | 1.35525i | ||||
\(673\) | 1.41200e15 | 0.394231 | 0.197116 | − | 0.980380i | \(-0.436843\pi\) | ||||
0.197116 | + | 0.980380i | \(0.436843\pi\) | |||||||
\(674\) | −3.05378e14 | + | 2.11060e10i | −0.0845684 | + | 5.84490e-6i | ||||
\(675\) | 3.89610e14 | + | 3.89610e14i | 0.107019 | + | 0.107019i | ||||
\(676\) | −4.49195e11 | − | 3.24965e15i | −0.000122385 | − | 0.885379i | ||||
\(677\) | −4.85721e15 | + | 4.85721e15i | −1.31265 | + | 1.31265i | −0.393194 | + | 0.919456i | \(0.628630\pi\) |
−0.919456 | + | 0.393194i | \(0.871370\pi\) | |||||||
\(678\) | −4.86404e15 | − | 4.86337e15i | −1.30387 | − | 1.30369i | ||||
\(679\) | − | 5.09628e15i | − | 1.35509i | ||||||
\(680\) | −4.99461e15 | + | 4.99668e15i | −1.31735 | + | 1.31790i | ||||
\(681\) | 2.43961e15i | 0.638281i | ||||||||
\(682\) | 4.48373e15 | − | 4.48435e15i | 1.16366 | − | 1.16382i | ||||
\(683\) | −8.68637e14 | + | 8.68637e14i | −0.223627 | + | 0.223627i | −0.810024 | − | 0.586397i | \(-0.800546\pi\) |
0.586397 | + | 0.810024i | \(0.300546\pi\) | |||||||
\(684\) | −3.13789e15 | + | 3.13876e15i | −0.801364 | + | 0.801585i | ||||
\(685\) | 2.80891e15 | + | 2.80891e15i | 0.711606 | + | 0.711606i | ||||
\(686\) | −1.52569e11 | − | 2.20748e15i | −3.83428e−5 | − | 0.554772i | ||||
\(687\) | 4.63316e15 | 1.15509 | ||||||||
\(688\) | 3.46615e15 | − | 3.46806e15i | 0.857256 | − | 0.857730i | ||||
\(689\) | −3.86248e14 | −0.0947676 | ||||||||
\(690\) | 3.12618e11 | + | 4.52319e15i | 7.60928e−5 | + | 1.10097i | ||||
\(691\) | −4.10027e15 | − | 4.10027e15i | −0.990110 | − | 0.990110i | 0.00984162 | − | 0.999952i | \(-0.496867\pi\) |
−0.999952 | + | 0.00984162i | \(0.996867\pi\) | |||||||
\(692\) | −1.79835e15 | − | 1.79786e15i | −0.430816 | − | 0.430697i | ||||
\(693\) | −7.93741e15 | + | 7.93741e15i | −1.88645 | + | 1.88645i | ||||
\(694\) | −4.40743e15 | + | 4.40804e15i | −1.03922 | + | 1.03936i | ||||
\(695\) | − | 2.41791e15i | − | 0.565618i | ||||||
\(696\) | −1.34381e12 | − | 6.48109e15i | −0.000311880 | − | 1.50417i | ||||
\(697\) | − | 5.94996e15i | − | 1.37004i | ||||||
\(698\) | −3.77777e14 | − | 3.77725e14i | −0.0863040 | − | 0.0862921i | ||||
\(699\) | 5.78696e15 | − | 5.78696e15i | 1.31167 | − | 1.31167i | ||||
\(700\) | −1.51529e15 | + | 2.09456e11i | −0.340766 | + | 4.71036e-5i | ||||
\(701\) | 4.09473e14 | + | 4.09473e14i | 0.0913643 | + | 0.0913643i | 0.751312 | − | 0.659947i | \(-0.229421\pi\) |
−0.659947 | + | 0.751312i | \(0.729421\pi\) | |||||||
\(702\) | 8.47012e14 | − | 5.85407e10i | 0.187515 | − | 1.29600e-5i | ||||
\(703\) | 3.49669e14 | 0.0768073 | ||||||||
\(704\) | −5.09958e15 | + | 5.10381e15i | −1.11144 | + | 1.11236i | ||||
\(705\) | 6.15299e15 | 1.33060 | ||||||||
\(706\) | −4.10092e15 | + | 2.83433e11i | −0.879945 | + | 6.08169e-5i | ||||
\(707\) | 4.97674e15 | + | 4.97674e15i | 1.05959 | + | 1.05959i | ||||
\(708\) | 7.27664e15 | − | 1.00584e12i | 1.53726 | − | 0.000212494i | ||||
\(709\) | −4.23628e13 | + | 4.23628e13i | −0.00888035 | + | 0.00888035i | −0.711533 | − | 0.702653i | \(-0.751999\pi\) |
0.702653 | + | 0.711533i | \(0.251999\pi\) | |||||||
\(710\) | −7.40548e15 | − | 7.40445e15i | −1.54039 | − | 1.54018i | ||||
\(711\) | − | 5.57885e15i | − | 1.15149i | ||||||
\(712\) | 9.27698e11 | + | 4.47421e15i | 0.000190006 | + | 0.916382i | ||||
\(713\) | − | 3.27037e15i | − | 0.664668i | ||||||
\(714\) | −1.10925e16 | + | 1.10940e16i | −2.23712 | + | 2.23743i | ||||
\(715\) | 2.12246e15 | − | 2.12246e15i | 0.424772 | − | 0.424772i | ||||
\(716\) | 3.08885e15 | + | 3.08800e15i | 0.613445 | + | 0.613275i | ||||
\(717\) | 1.71892e15 | + | 1.71892e15i | 0.338767 | + | 0.338767i | ||||
\(718\) | −2.23609e11 | − | 3.23534e15i | −4.37326e−5 | − | 0.632756i | ||||
\(719\) | 3.44205e15 | 0.668049 | 0.334025 | − | 0.942564i | \(-0.391593\pi\) | ||||
0.334025 | + | 0.942564i | \(0.391593\pi\) | |||||||
\(720\) | 5.63754e15 | + | 5.63442e15i | 1.08583 | + | 1.08523i | ||||
\(721\) | 5.55882e15 | 1.06252 | ||||||||
\(722\) | −1.11460e11 | − | 1.61269e15i | −2.11429e−5 | − | 0.305912i | ||||
\(723\) | −2.52912e15 | − | 2.52912e15i | −0.476111 | − | 0.476111i | ||||
\(724\) | −9.19564e14 | + | 9.19818e14i | −0.171799 | + | 0.171846i | ||||
\(725\) | −1.02026e15 | + | 1.02026e15i | −0.189170 | + | 0.189170i | ||||
\(726\) | 8.69367e15 | − | 8.69487e15i | 1.59975 | − | 1.59997i | ||||
\(727\) | 8.86644e14i | 0.161924i | 0.996717 | + | 0.0809618i | \(0.0257992\pi\) | ||||
−0.996717 | + | 0.0809618i | \(0.974201\pi\) | |||||||
\(728\) | −1.64677e15 | + | 1.64746e15i | −0.298477 | + | 0.298601i | ||||
\(729\) | 8.58422e15i | 1.54419i | ||||||||
\(730\) | −1.88027e15 | − | 1.88001e15i | −0.335694 | − | 0.335647i | ||||
\(731\) | −7.99145e15 | + | 7.99145e15i | −1.41605 | + | 1.41605i | ||||
\(732\) | −6.29926e11 | − | 4.55712e15i | −0.000110784 | − | 0.801456i | ||||
\(733\) | −7.89968e15 | − | 7.89968e15i | −1.37892 | − | 1.37892i | −0.846455 | − | 0.532461i | \(-0.821267\pi\) |
−0.532461 | − | 0.846455i | \(-0.678733\pi\) | |||||||
\(734\) | 1.89641e14 | − | 1.31069e10i | 0.0328552 | − | 2.27077e-6i | ||||
\(735\) | −5.59676e15 | −0.962401 | ||||||||
\(736\) | 1.28582e12 | + | 3.72085e15i | 0.000219459 | + | 0.635060i | ||||
\(737\) | −1.05331e16 | −1.78437 | ||||||||
\(738\) | −6.71262e15 | + | 4.63939e11i | −1.12871 | + | 7.80101e-5i | ||||
\(739\) | 3.16961e15 | + | 3.16961e15i | 0.529007 | + | 0.529007i | 0.920276 | − | 0.391269i | \(-0.127964\pi\) |
−0.391269 | + | 0.920276i | \(0.627964\pi\) | |||||||
\(740\) | −8.68014e10 | − | 6.27954e14i | −1.43798e−5 | − | 0.104029i | ||||
\(741\) | 1.86349e15 | − | 1.86349e15i | 0.306427 | − | 0.306427i | ||||
\(742\) | −1.51233e15 | − | 1.51212e15i | −0.246846 | − | 0.246812i | ||||
\(743\) | 1.94649e15i | 0.315364i | 0.987490 | + | 0.157682i | \(0.0504022\pi\) | ||||
−0.987490 | + | 0.157682i | \(0.949598\pi\) | |||||||
\(744\) | −7.07161e15 | − | 7.06867e15i | −1.13728 | − | 1.13681i | ||||
\(745\) | 4.62947e15i | 0.739047i | ||||||||
\(746\) | 5.07425e15 | − | 5.07495e15i | 0.804097 | − | 0.804208i | ||||
\(747\) | −1.06250e15 | + | 1.06250e15i | −0.167134 | + | 0.167134i | ||||
\(748\) | 1.17574e16 | − | 1.17607e16i | 1.83592 | − | 1.83643i | ||||
\(749\) | 1.29801e15 | + | 1.29801e15i | 0.201201 | + | 0.201201i | ||||
\(750\) | 5.65909e11 | + | 8.18799e15i | 8.70782e−5 | + | 1.25991i | ||||
\(751\) | −8.22162e14 | −0.125585 | −0.0627925 | − | 0.998027i | \(-0.520001\pi\) | ||||
−0.0627925 | + | 0.998027i | \(0.520001\pi\) | |||||||
\(752\) | 5.06156e15 | − | 1.39931e12i | 0.767514 | − | 0.000212185i | ||||
\(753\) | −2.80726e15 | −0.422581 | ||||||||
\(754\) | 1.53299e11 | + | 2.21805e15i | 2.29085e−5 | + | 0.331458i | ||||
\(755\) | 1.81969e15 | + | 1.81969e15i | 0.269954 | + | 0.269954i | ||||
\(756\) | 3.31666e15 | + | 3.31575e15i | 0.488463 | + | 0.488328i | ||||
\(757\) | 1.22234e15 | − | 1.22234e15i | 0.178716 | − | 0.178716i | −0.612080 | − | 0.790796i | \(-0.709667\pi\) |
0.790796 | + | 0.612080i | \(0.209667\pi\) | |||||||
\(758\) | −4.71308e15 | + | 4.71373e15i | −0.684107 | + | 0.684202i | ||||
\(759\) | − | 1.06470e16i | − | 1.53425i | ||||||
\(760\) | 6.57113e15 | − | 1.36248e12i | 0.940081 | − | 0.000194920i | ||||
\(761\) | − | 7.64079e15i | − | 1.08523i | −0.839981 | − | 0.542616i | \(-0.817434\pi\) | ||
0.839981 | − | 0.542616i | \(-0.182566\pi\) | |||||||
\(762\) | 1.29239e16 | + | 1.29221e16i | 1.82239 | + | 1.82214i | ||||
\(763\) | 2.46768e15 | − | 2.46768e15i | 0.345466 | − | 0.345466i | ||||
\(764\) | 1.01765e16 | − | 1.40669e12i | 1.41444 | − | 0.000195517i | ||||
\(765\) | −1.29906e16 | − | 1.29906e16i | −1.79263 | − | 1.79263i | ||||
\(766\) | −5.84843e15 | + | 4.04211e11i | −0.801274 | + | 5.53796e-5i | ||||
\(767\) | −2.49031e15 | −0.338750 | ||||||||
\(768\) | 8.04847e15 | + | 8.03958e15i | 1.08699 | + | 1.08579i | ||||
\(769\) | 4.51581e15 | 0.605537 | 0.302768 | − | 0.953064i | \(-0.402089\pi\) | ||||
0.302768 | + | 0.953064i | \(0.402089\pi\) | |||||||
\(770\) | 1.66196e16 | − | 1.14865e12i | 2.21270 | − | 0.000152929i | ||||
\(771\) | 7.83613e14 | + | 7.83613e14i | 0.103586 | + | 0.103586i | ||||
\(772\) | −5.55032e15 | + | 7.67215e11i | −0.728489 | + | 0.000100698i | ||||
\(773\) | −1.07717e15 | + | 1.07717e15i | −0.140377 | + | 0.140377i | −0.773803 | − | 0.633426i | \(-0.781648\pi\) |
0.633426 | + | 0.773803i | \(0.281648\pi\) | |||||||
\(774\) | 9.01641e15 | + | 9.01516e15i | 1.16670 | + | 1.16654i | ||||
\(775\) | 2.22598e15i | 0.285997i | ||||||||
\(776\) | 8.51775e15 | − | 1.76610e12i | 1.08664 | − | 0.000225308i | ||||
\(777\) | − | 1.39443e15i | − | 0.176637i | ||||||
\(778\) | −1.01649e16 | + | 1.01663e16i | −1.27854 | + | 1.27872i | ||||
\(779\) | −3.91321e15 | + | 3.91321e15i | −0.488739 | + | 0.488739i | ||||
\(780\) | −3.34702e15 | − | 3.34609e15i | −0.415085 | − | 0.414971i | ||||
\(781\) | 1.74303e16 | + | 1.74303e16i | 2.14647 | + | 2.14647i | ||||
\(782\) | −5.92748e11 | − | 8.57632e15i | −7.24824e−5 | − | 1.04873i | ||||
\(783\) | 4.46569e15 | 0.542249 | ||||||||
\(784\) | −4.60399e15 | + | 1.27281e12i | −0.555132 | + | 0.000153471i | ||||
\(785\) | −8.12921e15 | −0.973342 | ||||||||
\(786\) | −1.38628e12 | − | 2.00577e16i | −0.000164826 | − | 2.38483i | ||||
\(787\) | −4.70724e15 | − | 4.70724e15i | −0.555783 | − | 0.555783i | 0.372321 | − | 0.928104i | \(-0.378562\pi\) |
−0.928104 | + | 0.372321i | \(0.878562\pi\) | |||||||
\(788\) | −1.06440e16 | + | 1.06469e16i | −1.24798 | + | 1.24833i | ||||
\(789\) | 4.64090e15 | − | 4.64090e15i | 0.540354 | − | 0.540354i | ||||
\(790\) | −5.84018e15 | + | 5.84099e15i | −0.675270 | + | 0.675363i | ||||
\(791\) | 1.30338e16i | 1.49658i | ||||||||
\(792\) | −1.32691e16 | − | 1.32636e16i | −1.51305 | − | 1.51242i | ||||
\(793\) | 1.55960e15i | 0.176608i | ||||||||
\(794\) | −9.34343e15 | − | 9.34214e15i | −1.05074 | − | 1.05059i | ||||
\(795\) | 3.07250e15 | − | 3.07250e15i | 0.343141 | − | 0.343141i | ||||
\(796\) | −3.51134e11 | − | 2.54024e15i | −3.89449e−5 | − | 0.281742i | ||||
\(797\) | 7.24872e15 | + | 7.24872e15i | 0.798436 | + | 0.798436i | 0.982849 | − | 0.184412i | \(-0.0590382\pi\) |
−0.184412 | + | 0.982849i | \(0.559038\pi\) | |||||||
\(798\) | 1.45918e16 | − | 1.00850e12i | 1.59622 | − | 0.000110322i | ||||
\(799\) | −1.16666e16 | −1.26746 | ||||||||
\(800\) | −8.75197e11 | − | 2.53260e15i | −9.44302e−5 | − | 0.273257i | ||||
\(801\) | −1.16346e16 | −1.24673 | ||||||||
\(802\) | 8.02614e15 | − | 5.54723e11i | 0.854177 | − | 5.90360e-5i | ||||
\(803\) | 4.42559e15 | + | 4.42559e15i | 0.467773 | + | 0.467773i | ||||
\(804\) | 2.29569e12 | + | 1.66079e16i | 0.000240994 | + | 1.74344i | ||||
\(805\) | 6.06064e15 | − | 6.06064e15i | 0.631890 | − | 0.631890i | ||||
\(806\) | 2.41981e15 | + | 2.41947e15i | 0.250575 | + | 0.250540i | ||||
\(807\) | − | 1.19115e16i | − | 1.22508i | ||||||
\(808\) | −8.31625e15 | + | 8.31969e15i | −0.849503 | + | 0.849855i | ||||
\(809\) | 1.03410e16i | 1.04917i | 0.851360 | + | 0.524583i | \(0.175779\pi\) | ||||
−0.851360 | + | 0.524583i | \(0.824221\pi\) | |||||||
\(810\) | 4.03426e15 | − | 4.03482e15i | 0.406533 | − | 0.406590i | ||||
\(811\) | 1.11196e16 | − | 1.11196e16i | 1.11295 | − | 1.11295i | 0.120200 | − | 0.992750i | \(-0.461646\pi\) |
0.992750 | − | 0.120200i | \(-0.0383536\pi\) | |||||||
\(812\) | −8.68286e15 | + | 8.68526e15i | −0.863186 | + | 0.863425i | ||||
\(813\) | −8.43807e15 | − | 8.43807e15i | −0.833192 | − | 0.833192i | ||||
\(814\) | 1.02159e11 | + | 1.47812e15i | 1.00195e−5 | + | 0.144969i | ||||
\(815\) | −8.96910e15 | −0.873740 | ||||||||
\(816\) | −1.85461e16 | − | 1.85358e16i | −1.79455 | − | 1.79356i | ||||
\(817\) | 1.05117e16 | 1.01031 | ||||||||
\(818\) | −1.11469e12 | − | 1.61282e16i | −0.000106417 | − | 1.53972i | ||||
\(819\) | −4.28312e15 | − | 4.28312e15i | −0.406161 | − | 0.406161i | ||||
\(820\) | 7.02852e15 | + | 7.02658e15i | 0.662045 | + | 0.661862i | ||||
\(821\) | 7.05917e15 | − | 7.05917e15i | 0.660490 | − | 0.660490i | −0.295005 | − | 0.955496i | \(-0.595321\pi\) |
0.955496 | + | 0.295005i | \(0.0953215\pi\) | |||||||
\(822\) | −1.04243e16 | + | 1.04258e16i | −0.968843 | + | 0.968977i | ||||
\(823\) | 1.30797e16i | 1.20753i | 0.797163 | + | 0.603764i | \(0.206333\pi\) | ||||
−0.797163 | + | 0.603764i | \(0.793667\pi\) | |||||||
\(824\) | 1.92639e12 | + | 9.29084e15i | 0.000176663 | + | 0.852031i | ||||
\(825\) | 7.24687e15i | 0.660167i | ||||||||
\(826\) | −9.75069e15 | − | 9.74934e15i | −0.882359 | − | 0.882237i | ||||
\(827\) | 8.30624e15 | − | 8.30624e15i | 0.746662 | − | 0.746662i | −0.227189 | − | 0.973851i | \(-0.572953\pi\) |
0.973851 | + | 0.227189i | \(0.0729534\pi\) | |||||||
\(828\) | −9.67562e15 | + | 1.33745e12i | −0.863997 | + | 0.000119429i | ||||
\(829\) | −1.07494e16 | − | 1.07494e16i | −0.953531 | − | 0.953531i | 0.0454367 | − | 0.998967i | \(-0.485532\pi\) |
−0.998967 | + | 0.0454367i | \(0.985532\pi\) | |||||||
\(830\) | 2.22470e15 | − | 1.53759e11i | 0.196039 | − | 1.35491e-5i | ||||
\(831\) | 1.43176e16 | 1.25332 | ||||||||
\(832\) | −2.75408e15 | − | 2.75179e15i | −0.239496 | − | 0.239297i | ||||
\(833\) | 1.06119e16 | 0.916739 | ||||||||
\(834\) | 8.97387e15 | − | 6.20224e11i | 0.770135 | − | 5.32274e-5i | ||||
\(835\) | −2.83608e15 | − | 2.83608e15i | −0.241793 | − | 0.241793i | ||||
\(836\) | −1.54676e16 | + | 2.13806e12i | −1.31005 | + | 0.000181087i | ||||
\(837\) | 4.87156e15 | − | 4.87156e15i | 0.409900 | − | 0.409900i | ||||
\(838\) | 1.23012e16 | + | 1.22995e16i | 1.02826 | + | 1.02812i | ||||
\(839\) | 7.21546e15i | 0.599202i | 0.954065 | + | 0.299601i | \(0.0968535\pi\) | ||||
−0.954065 | + | 0.299601i | \(0.903146\pi\) | |||||||
\(840\) | −5.43337e12 | − | 2.62047e16i | −0.000448264 | − | 2.16194i | ||||
\(841\) | − | 5.06335e14i | − | 0.0415011i | ||||||
\(842\) | 2.58683e15 | − | 2.58719e15i | 0.210645 | − | 0.210674i | ||||
\(843\) | −2.34136e16 | + | 2.34136e16i | −1.89416 | + | 1.89416i | ||||
\(844\) | −5.32155e15 | − | 5.32008e15i | −0.427715 | − | 0.427597i | ||||
\(845\) | −8.84676e15 | − | 8.84676e15i | −0.706435 | − | 0.706435i | ||||
\(846\) | 9.09683e11 | + | 1.31620e16i | 7.21694e−5 | + | 1.04420i | ||||
\(847\) | −2.32990e16 | −1.83645 | ||||||||
\(848\) | 2.52679e15 | − | 2.52819e15i | 0.197876 | − | 0.197985i | ||||
\(849\) | 3.36682e13 | 0.00261956 | ||||||||
\(850\) | 4.03454e11 | + | 5.83748e15i | 3.11882e−5 | + | 0.451254i | ||||
\(851\) | 5.39023e14 | + | 5.39023e14i | 0.0413995 | + | 0.0413995i | ||||
\(852\) | 2.74792e16 | − | 2.74868e16i | 2.09694 | − | 2.09752i | ||||
\(853\) | 2.11551e15 | − | 2.11551e15i | 0.160397 | − | 0.160397i | −0.622346 | − | 0.782742i | \(-0.713820\pi\) |
0.782742 | + | 0.622346i | \(0.213820\pi\) | |||||||
\(854\) | −6.10569e15 | + | 6.10653e15i | −0.459956 | + | 0.460020i | ||||
\(855\) | 1.70874e16i | 1.27898i | ||||||||
\(856\) | −2.16901e15 | + | 2.16991e15i | −0.161308 | + | 0.161375i | ||||
\(857\) | − | 5.60408e15i | − | 0.414104i | −0.978330 | − | 0.207052i | \(-0.933613\pi\) | ||
0.978330 | − | 0.207052i | \(-0.0663870\pi\) | |||||||
\(858\) | 7.87788e15 | + | 7.87679e15i | 0.578401 | + | 0.578321i | ||||
\(859\) | −2.84823e14 | + | 2.84823e14i | −0.0207784 | + | 0.0207784i | −0.717420 | − | 0.696641i | \(-0.754677\pi\) |
0.696641 | + | 0.717420i | \(0.254677\pi\) | |||||||
\(860\) | −2.60942e12 | − | 1.88775e16i | −0.000189148 | − | 1.36837i | ||||
\(861\) | 1.56053e16 | + | 1.56053e16i | 1.12397 | + | 1.12397i | ||||
\(862\) | 2.09158e15 | − | 1.44558e11i | 0.149687 | − | 1.03455e-5i | ||||
\(863\) | 2.14058e15 | 0.152220 | 0.0761102 | − | 0.997099i | \(-0.475750\pi\) | ||||
0.0761102 | + | 0.997099i | \(0.475750\pi\) | |||||||
\(864\) | −5.54068e15 | + | 5.54451e15i | −0.391505 | + | 0.391776i | ||||
\(865\) | −9.79024e15 | −0.687392 | ||||||||
\(866\) | −9.82347e15 | + | 6.78944e11i | −0.685356 | + | 4.73680e-5i | ||||
\(867\) | 2.70648e16 | + | 2.70648e16i | 1.87629 | + | 1.87629i | ||||
\(868\) | 2.61897e12 | + | 1.89466e16i | 0.000180415 | + | 1.30519i | ||||
\(869\) | 1.37479e16 | − | 1.37479e16i | 0.941086 | − | 0.941086i | ||||
\(870\) | −1.76452e16 | − | 1.76428e16i | −1.20025 | − | 1.20008i | ||||
\(871\) | − | 5.68378e15i | − | 0.384182i | ||||||
\(872\) | 4.12526e15 | + | 4.12355e15i | 0.277084 | + | 0.276969i | ||||
\(873\) | 2.21494e16i | 1.47837i | ||||||||
\(874\) | −5.64014e15 | + | 5.64092e15i | −0.374091 | + | 0.374142i | ||||
\(875\) | 1.09711e16 | − | 1.09711e16i | 0.723115 | − | 0.723115i | ||||
\(876\) | 6.97701e15 | − | 6.97894e15i | 0.456980 | − | 0.457106i | ||||
\(877\) | −6.91657e14 | − | 6.91657e14i | −0.0450187 | − | 0.0450187i | 0.684239 | − | 0.729258i | \(-0.260134\pi\) |
−0.729258 | + | 0.684239i | \(0.760134\pi\) | |||||||
\(878\) | 8.35344e11 | + | 1.20864e16i | 5.40313e−5 | + | 0.781766i | ||||
\(879\) | 6.68439e15 | 0.429658 | ||||||||
\(880\) | 7.67930e12 | + | 2.77775e16i | 0.000490532 | + | 1.77434i | ||||
\(881\) | −1.27110e16 | −0.806889 | −0.403444 | − | 0.915004i | \(-0.632187\pi\) | ||||
−0.403444 | + | 0.915004i | \(0.632187\pi\) | |||||||
\(882\) | −8.27446e11 | − | 1.19721e16i | −5.21991e−5 | − | 0.755255i | ||||
\(883\) | 1.13706e16 | + | 1.13706e16i | 0.712850 | + | 0.712850i | 0.967131 | − | 0.254280i | \(-0.0818386\pi\) |
−0.254280 | + | 0.967131i | \(0.581839\pi\) | |||||||
\(884\) | 6.34621e15 | + | 6.34445e15i | 0.395391 | + | 0.395282i | ||||
\(885\) | 1.98098e16 | − | 1.98098e16i | 1.22657 | − | 1.22657i | ||||
\(886\) | 1.08527e16 | − | 1.08542e16i | 0.667812 | − | 0.667904i | ||||
\(887\) | 4.64514e15i | 0.284066i | 0.989862 | + | 0.142033i | \(0.0453639\pi\) | ||||
−0.989862 | + | 0.142033i | \(0.954636\pi\) | |||||||
\(888\) | 2.33060e15 | − | 4.83235e11i | 0.141644 | − | 2.93689e-5i | ||||
\(889\) | − | 3.46313e16i | − | 2.09175i | ||||||
\(890\) | 1.21813e16 | + | 1.21796e16i | 0.731223 | + | 0.731122i | ||||
\(891\) | −9.49676e15 | + | 9.49676e15i | −0.566563 | + | 0.566563i | ||||
\(892\) | 6.79733e15 | − | 9.39587e11i | 0.403025 | − | 5.57096e-5i | ||||
\(893\) | 7.67294e15 | + | 7.67294e15i | 0.452146 | + | 0.452146i | ||||
\(894\) | −1.71819e16 | + | 1.18752e12i | −1.00627 | + | 6.95480e-5i | ||||
\(895\) | 1.68157e16 | 0.978788 | ||||||||
\(896\) | −1.04290e13 | − | 2.15565e16i | −0.000603324 | − | 1.24705i | ||||
\(897\) | 5.74523e15 | 0.330331 | ||||||||
\(898\) | 2.65963e16 | − | 1.83819e12i | 1.51985 | − | 0.000105044i | ||||
\(899\) | 1.27570e16 | + | 1.27570e16i | 0.724554 | + | 0.724554i | ||||
\(900\) | 6.58572e15 | − | 9.10337e11i | 0.371766 | − | 5.13888e-5i | ||||
\(901\) | −5.82570e15 | + | 5.82570e15i | −0.326860 | + | 0.326860i | ||||
\(902\) | −1.65430e16 | − | 1.65408e16i | −0.922528 | − | 0.922400i | ||||
\(903\) | − | 4.19193e16i | − | 2.32344i | ||||||
\(904\) | −2.17843e16 | + | 4.51683e12i | −1.20010 | + | 0.000248832i | ||||
\(905\) | 5.00749e15i | 0.274191i | ||||||||
\(906\) | −6.75317e15 | + | 6.75411e15i | −0.367538 | + | 0.367589i | ||||
\(907\) | 1.40963e16 | − | 1.40963e16i | 0.762543 | − | 0.762543i | −0.214239 | − | 0.976781i | \(-0.568727\pi\) |
0.976781 | + | 0.214239i | \(0.0687270\pi\) | |||||||
\(908\) | 5.46421e15 | + | 5.46270e15i | 0.293802 | + | 0.293721i | ||||
\(909\) | −2.16299e16 | − | 2.16299e16i | −1.15599 | − | 1.15599i | ||||
\(910\) | 6.19828e11 | + | 8.96813e15i | 3.29263e−5 | + | 0.476403i | ||||
\(911\) | −2.45183e16 | −1.29461 | −0.647305 | − | 0.762231i | \(-0.724104\pi\) | ||||
−0.647305 | + | 0.762231i | \(0.724104\pi\) | |||||||
\(912\) | 6.74232e12 | + | 2.43882e16i | 0.000353865 | + | 1.28000i | ||||
\(913\) | −5.23664e15 | −0.273189 | ||||||||
\(914\) | 1.41436e12 | + | 2.04641e16i | 7.33427e−5 | + | 1.06118i | ||||
\(915\) | −1.24062e16 | − | 1.24062e16i | −0.639474 | − | 0.639474i | ||||
\(916\) | 1.03744e16 | − | 1.03773e16i | 0.531543 | − | 0.531690i | ||||
\(917\) | −2.68755e16 | + | 2.68755e16i | −1.36875 | + | 1.36875i | ||||
\(918\) | 1.27744e16 | − | 1.27762e16i | 0.646706 | − | 0.646796i | ||||
\(919\) | − | 1.71814e16i | − | 0.864615i | −0.901726 | − | 0.432307i | \(-0.857700\pi\) | ||
0.901726 | − | 0.432307i | \(-0.142300\pi\) | |||||||
\(920\) | 1.01317e16 | + | 1.01275e16i | 0.506813 | + | 0.506603i | ||||
\(921\) | 4.57271e16i | 2.27377i | ||||||||
\(922\) | −2.32026e16 | − | 2.31994e16i | −1.14687 | − | 1.14672i | ||||
\(923\) | −9.40559e15 | + | 9.40559e15i | −0.462143 | + | 0.462143i | ||||
\(924\) | 8.52629e12 | + | 6.16824e16i | 0.000416451 | + | 3.01277i | ||||
\(925\) | −3.66887e14 | − | 3.66887e14i | −0.0178136 | − | 0.0178136i | ||||
\(926\) | 1.15503e16 | − | 7.98295e11i | 0.557486 | − | 3.85303e-5i | ||||
\(927\) | −2.41597e16 | −1.15918 | ||||||||
\(928\) | −1.45193e16 | − | 1.45092e16i | −0.692518 | − | 0.692039i | ||||
\(929\) | 1.37942e16 | 0.654047 | 0.327024 | − | 0.945016i | \(-0.393954\pi\) | ||||
0.327024 | + | 0.945016i | \(0.393954\pi\) | |||||||
\(930\) | −3.84952e16 | + | 2.66057e12i | −1.81447 | + | 0.000125406i | ||||
\(931\) | −6.97930e15 | − | 6.97930e15i | −0.327031 | − | 0.327031i | ||||
\(932\) | −3.58282e12 | − | 2.59195e16i | −0.000166893 | − | 1.20737i | ||||
\(933\) | −3.99007e16 | + | 3.99007e16i | −1.84770 | + | 1.84770i | ||||
\(934\) | 5.56453e15 | + | 5.56377e15i | 0.256166 | + | 0.256130i | ||||
\(935\) | − | 6.40252e16i | − | 2.93013i | ||||||
\(936\) | 7.15718e15 | − | 7.16015e15i | 0.325630 | − | 0.325765i | ||||
\(937\) | − | 3.53690e16i | − | 1.59976i | −0.600160 | − | 0.799880i | \(-0.704896\pi\) | ||
0.600160 | − | 0.799880i | \(-0.295104\pi\) | |||||||
\(938\) | 2.22515e16 | − | 2.22546e16i | 1.00056 | − | 1.00070i | ||||
\(939\) | −2.28983e16 | + | 2.28983e16i | −1.02363 | + | 1.02363i | ||||
\(940\) | 1.37776e16 | − | 1.37814e16i | 0.612308 | − | 0.612477i | ||||
\(941\) | −2.22717e16 | − | 2.22717e16i | −0.984034 | − | 0.984034i | 0.0158400 | − | 0.999875i | \(-0.494958\pi\) |
−0.999875 | + | 0.0158400i | \(0.994958\pi\) | |||||||
\(942\) | −2.08525e12 | − | 3.01709e16i | −9.15963e−5 | − | 1.32528i | ||||
\(943\) | −1.20646e16 | −0.526865 | ||||||||
\(944\) | 1.62914e16 | − | 1.63004e16i | 0.707313 | − | 0.707704i | ||||
\(945\) | 1.80559e16 | 0.779371 | ||||||||
\(946\) | 3.07111e12 | + | 4.44352e16i | 0.000131794 | + | 1.90689i | ||||
\(947\) | −2.09342e16 | − | 2.09342e16i | −0.893163 | − | 0.893163i | 0.101656 | − | 0.994820i | \(-0.467586\pi\) |
−0.994820 | + | 0.101656i | \(0.967586\pi\) | |||||||
\(948\) | −2.16799e16 | − | 2.16739e16i | −0.919625 | − | 0.919371i | ||||
\(949\) | −2.38810e15 | + | 2.38810e15i | −0.100714 | + | 0.100714i | ||||
\(950\) | 3.83896e15 | − | 3.83949e15i | 0.160966 | − | 0.160988i | ||||
\(951\) | 4.99854e16i | 2.08377i | ||||||||
\(952\) | 1.03021e13 | + | 4.96862e16i | 0.000426995 | + | 2.05936i | ||||
\(953\) | 2.34667e16i | 0.967035i | 0.875335 | + | 0.483517i | \(0.160641\pi\) | ||||
−0.875335 | + | 0.483517i | \(0.839359\pi\) | |||||||
\(954\) | 6.57288e15 | + | 6.57198e15i | 0.269302 | + | 0.269265i | ||||
\(955\) | 2.77043e16 | − | 2.77043e16i | 1.12857 | − | 1.12857i | ||||
\(956\) | 7.69897e15 | − | 1.06422e12i | 0.311828 | − | 4.31036e-5i | ||||
\(957\) | 4.15315e16 | + | 4.15315e16i | 1.67249 | + | 1.67249i | ||||
\(958\) | 1.22663e16 | − | 8.47780e11i | 0.491139 | − | 3.39448e-5i | ||||
\(959\) | 2.79372e16 | 1.11219 | ||||||||
\(960\) | 4.37977e16 | − | 1.81623e13i | 1.73364 | − | 0.000718919i | ||||
\(961\) | 2.42445e15 | 0.0954191 | ||||||||
\(962\) | −7.97610e14 | + | 5.51264e10i | −0.0312124 | + | 2.15723e-6i | ||||
\(963\) | −5.64141e15 | − | 5.64141e15i | −0.219504 | − | 0.219504i | ||||
\(964\) | −1.13278e16 | + | 1.56583e12i | −0.438250 | + | 6.05788e-5i | ||||
\(965\) | −1.51101e16 | + | 1.51101e16i | −0.581254 | + | 0.581254i | ||||
\(966\) | 2.24952e16 | + | 2.24921e16i | 0.860429 | + | 0.860310i | ||||
\(967\) | 3.94438e16i | 1.50014i | 0.661357 | + | 0.750071i | \(0.269981\pi\) | ||||
−0.661357 | + | 0.750071i | \(0.730019\pi\) | |||||||
\(968\) | −8.07420e12 | − | 3.89412e16i | −0.000305341 | − | 1.47263i | ||||
\(969\) | − | 5.62133e16i | − | 2.11377i | ||||||
\(970\) | 2.31869e16 | − | 2.31901e16i | 0.866959 | − | 0.867079i | ||||
\(971\) | 1.82080e16 | − | 1.82080e16i | 0.676948 | − | 0.676948i | −0.282360 | − | 0.959308i | \(-0.591117\pi\) |
0.959308 | + | 0.282360i | \(0.0911174\pi\) | |||||||
\(972\) | 2.55712e16 | + | 2.55642e16i | 0.945338 | + | 0.945077i | ||||
\(973\) | −1.20241e16 | − | 1.20241e16i | −0.442012 | − | 0.442012i | ||||
\(974\) | −1.17994e12 | − | 1.70722e16i | −4.31305e−5 | − | 0.624045i | ||||
\(975\) | −3.91049e15 | −0.142137 | ||||||||
\(976\) | −1.02084e16 | − | 1.02027e16i | −0.368963 | − | 0.368759i | ||||
\(977\) | −1.68239e16 | −0.604652 | −0.302326 | − | 0.953205i | \(-0.597763\pi\) | ||||
−0.302326 | + | 0.953205i | \(0.597763\pi\) | |||||||
\(978\) | −2.30069e12 | − | 3.32881e16i | −8.22232e−5 | − | 1.18967i | ||||
\(979\) | −2.86712e16 | − | 2.86712e16i | −1.01892 | − | 1.01892i | ||||
\(980\) | −1.25321e16 | + | 1.25355e16i | −0.442873 | + | 0.442996i | ||||
\(981\) | −1.07250e16 | + | 1.07250e16i | −0.376893 | + | 0.376893i | ||||
\(982\) | −2.00010e16 | + | 2.00037e16i | −0.698937 | + | 0.699033i | ||||
\(983\) | − | 1.79195e16i | − | 0.622704i | −0.950295 | − | 0.311352i | \(-0.899218\pi\) | ||
0.950295 | − | 0.311352i | \(-0.100782\pi\) | |||||||
\(984\) | −2.60768e16 | + | 2.60876e16i | −0.901117 | + | 0.901491i | ||||
\(985\) | 5.79617e16i | 1.99178i | ||||||||
\(986\) | 3.34567e16 | + | 3.34521e16i | 1.14330 | + | 1.14314i | ||||
\(987\) | 3.05986e16 | − | 3.05986e16i | 1.03982 | − | 1.03982i | ||||
\(988\) | −1.15372e12 | − | 8.34647e15i | −3.89887e−5 | − | 0.282059i | ||||
\(989\) | 1.62041e16 | + | 1.62041e16i | 0.544560 | + | 0.544560i | ||||
\(990\) | −7.22319e16 | + | 4.99227e12i | −2.41399 | + | 0.000166842i | ||||
\(991\) | 5.56476e16 | 1.84945 | 0.924723 | − | 0.380641i | \(-0.124296\pi\) | ||||
0.924723 | + | 0.380641i | \(0.124296\pi\) | |||||||
\(992\) | −3.16668e16 | + | 1.09432e13i | −1.04662 | + | 0.000361684i | ||||
\(993\) | −1.36942e16 | −0.450106 | ||||||||
\(994\) | −7.36491e16 | + | 5.09022e12i | −2.40737 | + | 0.000166384i | ||||
\(995\) | −6.91548e15 | − | 6.91548e15i | −0.224800 | − | 0.224800i | ||||
\(996\) | 1.14133e12 | + | 8.25679e15i | 3.68964e−5 | + | 0.266922i | ||||
\(997\) | 1.04105e16 | − | 1.04105e16i | 0.334695 | − | 0.334695i | −0.519671 | − | 0.854366i | \(-0.673945\pi\) |
0.854366 | + | 0.519671i | \(0.173945\pi\) | |||||||
\(998\) | −2.46583e16 | − | 2.46549e16i | −0.788399 | − | 0.788290i | ||||
\(999\) | 1.60586e15i | 0.0510620i |
(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 | 16.12.e.a.13.21 | yes | 42 | |
4.3 | odd | 2 | 64.12.e.a.17.2 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.33.20 | 42 | |||
8.5 | even | 2 | 128.12.e.b.33.2 | 42 | |||
16.3 | odd | 4 | 128.12.e.a.97.20 | 42 | |||
16.5 | even | 4 | inner | 16.12.e.a.5.21 | ✓ | 42 | |
16.11 | odd | 4 | 64.12.e.a.49.2 | 42 | |||
16.13 | even | 4 | 128.12.e.b.97.2 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.21 | ✓ | 42 | 16.5 | even | 4 | inner | |
16.12.e.a.13.21 | yes | 42 | 1.1 | even | 1 | trivial | |
64.12.e.a.17.2 | 42 | 4.3 | odd | 2 | |||
64.12.e.a.49.2 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.33.20 | 42 | 8.3 | odd | 2 | |||
128.12.e.a.97.20 | 42 | 16.3 | odd | 4 | |||
128.12.e.b.33.2 | 42 | 8.5 | even | 2 | |||
128.12.e.b.97.2 | 42 | 16.13 | even | 4 |