Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(9,43)]
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([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), 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: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.14 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.10.g.a.9.14 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.98413 | + | 7.50386i | −0.264463 | + | 0.331627i | −0.896278 | − | 0.443493i | \(-0.853739\pi\) |
0.631814 | + | 0.775120i | \(0.282311\pi\) | |||||||
\(3\) | −64.3608 | + | 9.70083i | −0.458750 | + | 0.0691454i | −0.374352 | − | 0.927287i | \(-0.622135\pi\) |
−0.0843979 | + | 0.996432i | \(0.526897\pi\) | |||||||
\(4\) | 93.4326 | + | 409.355i | 0.182486 | + | 0.799522i | ||||
\(5\) | −1644.31 | + | 1121.07i | −1.17657 | + | 0.802175i | −0.983835 | − | 0.179075i | \(-0.942690\pi\) |
−0.192739 | + | 0.981250i | \(0.561737\pi\) | |||||||
\(6\) | 312.350 | − | 541.005i | 0.0983921 | − | 0.170420i | ||||
\(7\) | −2499.13 | − | 4328.62i | −0.393412 | − | 0.681410i | 0.599485 | − | 0.800386i | \(-0.295372\pi\) |
−0.992897 | + | 0.118976i | \(0.962039\pi\) | |||||||
\(8\) | −8058.28 | − | 3880.66i | −0.695564 | − | 0.334966i | ||||
\(9\) | −14760.3 | + | 4552.96i | −0.749902 | + | 0.231314i | ||||
\(10\) | 1427.40 | − | 19047.3i | 0.0451384 | − | 0.602330i | ||||
\(11\) | −4490.58 | + | 19674.5i | −0.0924774 | + | 0.405170i | −0.999886 | − | 0.0150790i | \(-0.995200\pi\) |
0.907409 | + | 0.420249i | \(0.138057\pi\) | |||||||
\(12\) | −9984.48 | − | 25440.1i | −0.138998 | − | 0.354162i | ||||
\(13\) | 5961.64 | + | 79552.5i | 0.0578922 | + | 0.772518i | 0.948304 | + | 0.317363i | \(0.102797\pi\) |
−0.890412 | + | 0.455156i | \(0.849584\pi\) | |||||||
\(14\) | 47436.5 | + | 7149.90i | 0.330017 | + | 0.0497421i | ||||
\(15\) | 94954.0 | − | 88104.4i | 0.484287 | − | 0.449352i | ||||
\(16\) | −116348. | + | 56030.4i | −0.443834 | + | 0.213739i | ||||
\(17\) | 156423. | + | 106647.i | 0.454234 | + | 0.309691i | 0.768737 | − | 0.639565i | \(-0.220886\pi\) |
−0.314503 | + | 0.949256i | \(0.601838\pi\) | |||||||
\(18\) | 54162.9 | − | 138005.i | 0.121612 | − | 0.309862i | ||||
\(19\) | −24850.6 | − | 7665.39i | −0.0437467 | − | 0.0134941i | 0.272805 | − | 0.962069i | \(-0.412049\pi\) |
−0.316551 | + | 0.948575i | \(0.602525\pi\) | |||||||
\(20\) | −612550. | − | 568363.i | −0.856064 | − | 0.794312i | ||||
\(21\) | 202837. | + | 254350.i | 0.227594 | + | 0.285394i | ||||
\(22\) | −120763. | − | 151431.i | −0.109908 | − | 0.137821i | ||||
\(23\) | −494109. | − | 458466.i | −0.368169 | − | 0.341611i | 0.474292 | − | 0.880367i | \(-0.342704\pi\) |
−0.842462 | + | 0.538756i | \(0.818894\pi\) | |||||||
\(24\) | 556283. | + | 171591.i | 0.342251 | + | 0.105571i | ||||
\(25\) | 733403. | − | 1.86868e6i | 0.375502 | − | 0.956764i | ||||
\(26\) | −632626. | − | 431317.i | −0.271498 | − | 0.185104i | ||||
\(27\) | 2.06007e6 | − | 992078.i | 0.746011 | − | 0.359260i | ||||
\(28\) | 1.53844e6 | − | 1.42747e6i | 0.473010 | − | 0.438889i | ||||
\(29\) | 6.85477e6 | + | 1.03319e6i | 1.79971 | + | 0.271262i | 0.961642 | − | 0.274309i | \(-0.0884490\pi\) |
0.838065 | + | 0.545571i | \(0.183687\pi\) | |||||||
\(30\) | 92906.4 | + | 1.23975e6i | 0.0209411 | + | 0.279440i | ||||
\(31\) | −1.30291e6 | − | 3.31977e6i | −0.253389 | − | 0.645625i | 0.746414 | − | 0.665482i | \(-0.231774\pi\) |
−0.999803 | + | 0.0198571i | \(0.993679\pi\) | |||||||
\(32\) | 1.29480e6 | − | 5.67288e6i | 0.218286 | − | 0.956375i | ||||
\(33\) | 98158.2 | − | 1.30983e6i | 0.0144083 | − | 0.192266i | ||||
\(34\) | −1.73632e6 | + | 535583.i | −0.222830 | + | 0.0687340i | ||||
\(35\) | 8.96206e6 | + | 4.31590e6i | 1.00949 | + | 0.486145i | ||||
\(36\) | −3.24287e6 | − | 5.61682e6i | −0.321787 | − | 0.557352i | ||||
\(37\) | −7.80631e6 | + | 1.35209e7i | −0.684759 | + | 1.18604i | 0.288753 | + | 0.957404i | \(0.406759\pi\) |
−0.973512 | + | 0.228634i | \(0.926574\pi\) | |||||||
\(38\) | 206229. | − | 140605.i | 0.0160444 | − | 0.0109389i | ||||
\(39\) | −1.15542e6 | − | 5.06223e6i | −0.0799742 | − | 0.350390i | ||||
\(40\) | 1.76008e7 | − | 2.65290e6i | 1.08708 | − | 0.163852i | ||||
\(41\) | 1.93053e7 | − | 2.42081e7i | 1.06696 | − | 1.33793i | 0.128825 | − | 0.991667i | \(-0.458879\pi\) |
0.938138 | − | 0.346262i | \(-0.112549\pi\) | |||||||
\(42\) | −3.12241e6 | −0.154835 | ||||||||
\(43\) | −1.78909e7 | + | 1.35096e7i | −0.798039 | + | 0.602605i | ||||
\(44\) | −8.47343e6 | −0.340818 | ||||||||
\(45\) | 1.91664e7 | − | 2.40339e7i | 0.696762 | − | 0.873712i | ||||
\(46\) | 6.39708e6 | − | 964204.i | 0.210655 | − | 0.0317511i | ||||
\(47\) | −3.43316e6 | − | 1.50417e7i | −0.102625 | − | 0.449631i | −0.999966 | − | 0.00829146i | \(-0.997361\pi\) |
0.897340 | − | 0.441339i | \(-0.145496\pi\) | |||||||
\(48\) | 6.94474e6 | − | 4.73484e6i | 0.188830 | − | 0.128742i | ||||
\(49\) | 7.68547e6 | − | 1.33116e7i | 0.190453 | − | 0.329875i | ||||
\(50\) | 9.63353e6 | + | 1.66858e7i | 0.217982 | + | 0.377556i | ||||
\(51\) | −1.11021e7 | − | 5.34647e6i | −0.229793 | − | 0.110663i | ||||
\(52\) | −3.20082e7 | + | 9.87323e6i | −0.607081 | + | 0.187260i | ||||
\(53\) | 1.06660e6 | − | 1.42328e7i | 0.0185678 | − | 0.247770i | −0.980195 | − | 0.198036i | \(-0.936544\pi\) |
0.998763 | − | 0.0497336i | \(-0.0158372\pi\) | |||||||
\(54\) | −4.88331e6 | + | 2.13952e7i | −0.0781525 | + | 0.342408i | ||||
\(55\) | −1.46727e7 | − | 3.73853e7i | −0.216211 | − | 0.550896i | ||||
\(56\) | 3.34078e6 | + | 4.45796e7i | 0.0453943 | + | 0.605745i | ||||
\(57\) | 1.67376e6 | + | 252279.i | 0.0210018 | + | 0.00316552i | ||||
\(58\) | −4.87727e7 | + | 4.52544e7i | −0.565914 | + | 0.525092i | ||||
\(59\) | −1.25153e8 | + | 6.02705e7i | −1.34464 | + | 0.647546i | −0.961158 | − | 0.276000i | \(-0.910991\pi\) |
−0.383486 | + | 0.923547i | \(0.625277\pi\) | |||||||
\(60\) | 4.49378e7 | + | 3.06381e7i | 0.447642 | + | 0.305197i | ||||
\(61\) | −6.11520e7 | + | 1.55813e8i | −0.565492 | + | 1.44085i | 0.306757 | + | 0.951788i | \(0.400756\pi\) |
−0.872249 | + | 0.489062i | \(0.837339\pi\) | |||||||
\(62\) | 3.27079e7 | + | 1.00890e7i | 0.281119 | + | 0.0867137i | ||||
\(63\) | 5.65961e7 | + | 5.25135e7i | 0.452641 | + | 0.419989i | ||||
\(64\) | −6.40377e6 | − | 8.03007e6i | −0.0477118 | − | 0.0598287i | ||||
\(65\) | −9.89870e7 | − | 1.24126e8i | −0.687810 | − | 0.862486i | ||||
\(66\) | 9.24139e6 | + | 8.57475e6i | 0.0599500 | + | 0.0556255i | ||||
\(67\) | −3.10254e7 | − | 9.57008e6i | −0.188097 | − | 0.0580202i | 0.199276 | − | 0.979943i | \(-0.436141\pi\) |
−0.387373 | + | 0.921923i | \(0.626617\pi\) | |||||||
\(68\) | −2.90416e7 | + | 7.39967e7i | −0.164714 | + | 0.419684i | ||||
\(69\) | 3.62488e7 | + | 2.47140e7i | 0.192518 | + | 0.131257i | ||||
\(70\) | −8.60160e7 | + | 4.14231e7i | −0.428192 | + | 0.206206i | ||||
\(71\) | 6.74777e7 | − | 6.26102e7i | 0.315136 | − | 0.292403i | −0.506706 | − | 0.862119i | \(-0.669137\pi\) |
0.821842 | + | 0.569716i | \(0.192947\pi\) | |||||||
\(72\) | 1.36611e8 | + | 2.05908e7i | 0.599088 | + | 0.0902980i | ||||
\(73\) | 1.43040e6 | + | 1.90874e7i | 0.00589529 | + | 0.0786672i | 0.999375 | − | 0.0353384i | \(-0.0112509\pi\) |
−0.993480 | + | 0.114006i | \(0.963632\pi\) | |||||||
\(74\) | −5.47451e7 | − | 1.39488e8i | −0.212228 | − | 0.540748i | ||||
\(75\) | −2.90747e7 | + | 1.27384e8i | −0.106106 | + | 0.464880i | ||||
\(76\) | 816011. | − | 1.08889e7i | 0.00280566 | − | 0.0374389i | ||||
\(77\) | 9.63862e7 | − | 2.97312e7i | 0.312469 | − | 0.0963838i | ||||
\(78\) | 4.49004e7 | + | 2.16229e7i | 0.137349 | + | 0.0661437i | ||||
\(79\) | 6.87240e7 | + | 1.19033e8i | 0.198512 | + | 0.343833i | 0.948046 | − | 0.318133i | \(-0.103056\pi\) |
−0.749534 | + | 0.661966i | \(0.769723\pi\) | |||||||
\(80\) | 1.28499e8 | − | 2.22567e8i | 0.350748 | − | 0.607513i | ||||
\(81\) | 1.28242e8 | − | 8.74336e7i | 0.331014 | − | 0.225682i | ||||
\(82\) | 6.61286e7 | + | 2.89728e8i | 0.161520 | + | 0.707667i | ||||
\(83\) | −7.94783e8 | + | 1.19794e8i | −1.83822 | + | 0.277067i | −0.974083 | − | 0.226192i | \(-0.927372\pi\) |
−0.864136 | + | 0.503259i | \(0.832134\pi\) | |||||||
\(84\) | −8.51679e7 | + | 1.06797e8i | −0.186646 | + | 0.234047i | ||||
\(85\) | −3.76767e8 | −0.782866 | ||||||||
\(86\) | 5.68767e6 | − | 2.15094e8i | 0.0112122 | − | 0.424018i | ||||
\(87\) | −4.51201e8 | −0.844372 | ||||||||
\(88\) | 1.12536e8 | − | 1.41116e8i | 0.200042 | − | 0.250845i | ||||
\(89\) | 7.74551e8 | − | 1.16745e8i | 1.30856 | − | 0.197234i | 0.542531 | − | 0.840036i | \(-0.317466\pi\) |
0.766033 | + | 0.642801i | \(0.222228\pi\) | |||||||
\(90\) | 6.56528e7 | + | 2.87644e8i | 0.105478 | + | 0.462130i | ||||
\(91\) | 3.29454e8 | − | 2.24618e8i | 0.503627 | − | 0.343367i | ||||
\(92\) | 1.41510e8 | − | 2.45102e8i | 0.205940 | − | 0.356698i | ||||
\(93\) | 1.16061e8 | + | 2.01024e8i | 0.160884 | + | 0.278660i | ||||
\(94\) | 1.33415e8 | + | 6.42493e7i | 0.176250 | + | 0.0848776i | ||||
\(95\) | 4.94556e7 | − | 1.52550e7i | 0.0622959 | − | 0.0192157i | ||||
\(96\) | −2.83026e7 | + | 3.77672e8i | −0.0340099 | + | 0.453831i | ||||
\(97\) | 2.08079e8 | − | 9.11652e8i | 0.238646 | − | 1.04558i | −0.703584 | − | 0.710612i | \(-0.748418\pi\) |
0.942230 | − | 0.334965i | \(-0.108725\pi\) | |||||||
\(98\) | 5.38977e7 | + | 1.37329e8i | 0.0590273 | + | 0.150399i | ||||
\(99\) | −2.32948e7 | − | 3.10848e8i | −0.0243726 | − | 0.325229i | ||||
\(100\) | 8.33477e8 | + | 1.25627e8i | 0.833477 | + | 0.125627i | ||||
\(101\) | 3.97824e8 | − | 3.69127e8i | 0.380404 | − | 0.352963i | −0.466677 | − | 0.884428i | \(-0.654549\pi\) |
0.847080 | + | 0.531465i | \(0.178358\pi\) | |||||||
\(102\) | 1.06555e8 | − | 5.13143e7i | 0.0974706 | − | 0.0469394i | ||||
\(103\) | −1.12894e9 | − | 7.69700e8i | −0.988336 | − | 0.673836i | −0.0427084 | − | 0.999088i | \(-0.513599\pi\) |
−0.945628 | + | 0.325252i | \(0.894551\pi\) | |||||||
\(104\) | 2.60676e8 | − | 6.64191e8i | 0.218500 | − | 0.556728i | ||||
\(105\) | −6.18674e8 | − | 1.90836e8i | −0.496718 | − | 0.153217i | ||||
\(106\) | 1.00418e8 | + | 9.31743e7i | 0.0772565 | + | 0.0716836i | ||||
\(107\) | −7.98465e8 | − | 1.00124e9i | −0.588882 | − | 0.738435i | 0.394717 | − | 0.918803i | \(-0.370843\pi\) |
−0.983599 | + | 0.180368i | \(0.942271\pi\) | |||||||
\(108\) | 5.98590e8 | + | 7.50608e8i | 0.423372 | + | 0.530892i | ||||
\(109\) | −1.21718e8 | − | 1.12938e8i | −0.0825914 | − | 0.0766337i | 0.637797 | − | 0.770205i | \(-0.279846\pi\) |
−0.720388 | + | 0.693571i | \(0.756036\pi\) | |||||||
\(110\) | 3.68337e8 | + | 1.13617e8i | 0.239871 | + | 0.0739906i | ||||
\(111\) | 3.71256e8 | − | 9.45945e8i | 0.232124 | − | 0.591442i | ||||
\(112\) | 5.33305e8 | + | 3.63601e8i | 0.320254 | + | 0.218345i | ||||
\(113\) | −1.58893e7 | + | 7.65189e6i | −0.00916753 | + | 0.00441485i | −0.438462 | − | 0.898750i | \(-0.644477\pi\) |
0.429294 | + | 0.903165i | \(0.358762\pi\) | |||||||
\(114\) | −1.19091e7 | + | 1.10500e7i | −0.00660399 | + | 0.00612761i | ||||
\(115\) | 1.32644e9 | + | 1.99929e8i | 0.707211 | + | 0.106595i | ||||
\(116\) | 2.17517e8 | + | 2.90257e9i | 0.111541 | + | 1.48841i | ||||
\(117\) | −4.50195e8 | − | 1.14708e9i | −0.222108 | − | 0.565922i | ||||
\(118\) | 2.96670e8 | − | 1.29980e9i | 0.140866 | − | 0.617172i | ||||
\(119\) | 7.07145e7 | − | 9.43620e8i | 0.0323257 | − | 0.431356i | ||||
\(120\) | −1.10707e9 | + | 3.41486e8i | −0.487370 | + | 0.150334i | ||||
\(121\) | 1.75752e9 | + | 8.46375e8i | 0.745358 | + | 0.358946i | ||||
\(122\) | −8.03255e8 | − | 1.39128e9i | −0.328272 | − | 0.568585i | ||||
\(123\) | −1.00767e9 | + | 1.74533e9i | −0.396957 | + | 0.687550i | ||||
\(124\) | 1.23723e9 | − | 8.43529e8i | 0.469951 | − | 0.320407i | ||||
\(125\) | 2.40563e7 | + | 1.05397e8i | 0.00881319 | + | 0.0386131i | ||||
\(126\) | −7.32732e8 | + | 1.10442e8i | −0.258987 | + | 0.0390360i | ||||
\(127\) | −1.62692e9 | + | 2.04010e9i | −0.554945 | + | 0.695879i | −0.977614 | − | 0.210405i | \(-0.932522\pi\) |
0.422669 | + | 0.906284i | \(0.361093\pi\) | |||||||
\(128\) | 3.07779e9 | 1.01343 | ||||||||
\(129\) | 1.02042e9 | − | 1.04304e9i | 0.324433 | − | 0.331626i | ||||
\(130\) | 1.52377e9 | 0.467924 | ||||||||
\(131\) | −1.23535e9 | + | 1.54908e9i | −0.366497 | + | 0.459572i | −0.930549 | − | 0.366166i | \(-0.880670\pi\) |
0.564053 | + | 0.825739i | \(0.309242\pi\) | |||||||
\(132\) | 5.45357e8 | − | 8.21993e7i | 0.156350 | − | 0.0235660i | ||||
\(133\) | 2.89243e7 | + | 1.26726e8i | 0.00801550 | + | 0.0351182i | ||||
\(134\) | 2.57473e8 | − | 1.75542e8i | 0.0689858 | − | 0.0470337i | ||||
\(135\) | −2.27521e9 | + | 3.94078e9i | −0.589548 | + | 1.02113i | ||||
\(136\) | −8.46635e8 | − | 1.46642e9i | −0.212213 | − | 0.367563i | ||||
\(137\) | −2.08367e9 | − | 1.00344e9i | −0.505344 | − | 0.243361i | 0.163800 | − | 0.986494i | \(-0.447625\pi\) |
−0.669144 | + | 0.743133i | \(0.733339\pi\) | |||||||
\(138\) | −4.02367e8 | + | 1.24114e8i | −0.0944424 | + | 0.0291316i | ||||
\(139\) | −2.19685e7 | + | 2.93149e8i | −0.00499153 | + | 0.0666073i | −0.999143 | − | 0.0413848i | \(-0.986823\pi\) |
0.994152 | + | 0.107992i | \(0.0344421\pi\) | |||||||
\(140\) | −9.29388e8 | + | 4.07191e9i | −0.204466 | + | 0.895823i | ||||
\(141\) | 3.66878e8 | + | 9.34790e8i | 0.0781692 | + | 0.199172i | ||||
\(142\) | 6.60226e7 | + | 8.81010e8i | 0.0136268 | + | 0.181837i | ||||
\(143\) | −1.59193e9 | − | 2.39945e8i | −0.318355 | − | 0.0479843i | ||||
\(144\) | 1.46224e9 | − | 1.35676e9i | 0.283391 | − | 0.262949i | ||||
\(145\) | −1.24297e10 | + | 5.98581e9i | −2.33509 | + | 1.12452i | ||||
\(146\) | −1.51789e8 | − | 1.03488e8i | −0.0276472 | − | 0.0188496i | ||||
\(147\) | −3.65510e8 | + | 9.31303e8i | −0.0645611 | + | 0.164499i | ||||
\(148\) | −6.26422e9 | − | 1.93226e9i | −1.07322 | − | 0.331045i | ||||
\(149\) | 1.80307e8 | + | 1.67301e8i | 0.0299692 | + | 0.0278073i | 0.695015 | − | 0.718995i | \(-0.255398\pi\) |
−0.665046 | + | 0.746802i | \(0.731588\pi\) | |||||||
\(150\) | −7.81888e8 | − | 9.80456e8i | −0.126105 | − | 0.158131i | ||||
\(151\) | −6.10861e9 | − | 7.65996e9i | −0.956195 | − | 1.19903i | −0.979936 | − | 0.199312i | \(-0.936129\pi\) |
0.0237412 | − | 0.999718i | \(-0.492442\pi\) | |||||||
\(152\) | 1.70506e8 | + | 1.58207e8i | 0.0259086 | + | 0.0240397i | ||||
\(153\) | −2.79441e9 | − | 8.61961e8i | −0.412267 | − | 0.127168i | ||||
\(154\) | −3.53688e8 | + | 9.01183e8i | −0.0506731 | + | 0.129113i | ||||
\(155\) | 5.86411e9 | + | 3.99808e9i | 0.816036 | + | 0.556364i | ||||
\(156\) | 1.96430e9 | − | 9.45955e8i | 0.265550 | − | 0.127882i | ||||
\(157\) | −7.67705e7 | + | 7.12326e7i | −0.0100843 | + | 0.00935686i | −0.685199 | − | 0.728356i | \(-0.740285\pi\) |
0.675114 | + | 0.737713i | \(0.264094\pi\) | |||||||
\(158\) | −1.30446e9 | − | 1.96616e8i | −0.166523 | − | 0.0250993i | ||||
\(159\) | 6.94226e7 | + | 9.26380e8i | 0.00861417 | + | 0.114948i | ||||
\(160\) | 4.23066e9 | + | 1.07795e10i | 0.510350 | + | 1.30035i | ||||
\(161\) | −7.49684e8 | + | 3.28458e9i | −0.0879350 | + | 0.385268i | ||||
\(162\) | −1.11324e8 | + | 1.48552e9i | −0.0126991 | + | 0.169458i | ||||
\(163\) | 3.90168e9 | − | 1.20351e9i | 0.432919 | − | 0.133538i | −0.0706335 | − | 0.997502i | \(-0.522502\pi\) |
0.503553 | + | 0.863964i | \(0.332026\pi\) | |||||||
\(164\) | 1.17134e10 | + | 5.64090e9i | 1.26441 | + | 0.608907i | ||||
\(165\) | 1.30701e9 | + | 2.26381e9i | 0.137278 | + | 0.237773i | ||||
\(166\) | 3.85716e9 | − | 6.68080e9i | 0.394259 | − | 0.682877i | ||||
\(167\) | 1.55517e10 | − | 1.06029e10i | 1.54722 | − | 1.05488i | 0.575780 | − | 0.817605i | \(-0.304699\pi\) |
0.971443 | − | 0.237274i | \(-0.0762538\pi\) | |||||||
\(168\) | −6.47474e8 | − | 2.83677e9i | −0.0627091 | − | 0.274746i | ||||
\(169\) | 4.19300e9 | − | 6.31992e8i | 0.395398 | − | 0.0595966i | ||||
\(170\) | 2.25462e9 | − | 2.82721e9i | 0.207040 | − | 0.259619i | ||||
\(171\) | 4.01703e8 | 0.0359271 | ||||||||
\(172\) | −7.20180e9 | − | 6.06150e9i | −0.627427 | − | 0.528083i | ||||
\(173\) | −2.85953e9 | −0.242709 | −0.121355 | − | 0.992609i | \(-0.538724\pi\) | ||||
−0.121355 | + | 0.992609i | \(0.538724\pi\) | |||||||
\(174\) | 2.70004e9 | − | 3.38575e9i | 0.223305 | − | 0.280016i | ||||
\(175\) | −9.92169e9 | + | 1.49545e9i | −0.799676 | + | 0.120532i | ||||
\(176\) | −5.79900e8 | − | 2.54071e9i | −0.0455561 | − | 0.199594i | ||||
\(177\) | 7.47028e9 | − | 5.09315e9i | 0.572080 | − | 0.390038i | ||||
\(178\) | −3.75897e9 | + | 6.51073e9i | −0.280659 | + | 0.486116i | ||||
\(179\) | −1.11886e9 | − | 1.93792e9i | −0.0814584 | − | 0.141090i | 0.822418 | − | 0.568883i | \(-0.192624\pi\) |
−0.903877 | + | 0.427793i | \(0.859291\pi\) | |||||||
\(180\) | 1.16292e10 | + | 5.60031e9i | 0.825700 | + | 0.397636i | ||||
\(181\) | −1.05544e10 | + | 3.25559e9i | −0.730935 | + | 0.225464i | −0.637813 | − | 0.770191i | \(-0.720161\pi\) |
−0.0931221 | + | 0.995655i | \(0.529685\pi\) | |||||||
\(182\) | −2.85993e8 | + | 3.81632e9i | −0.0193212 | + | 0.257824i | ||||
\(183\) | 2.42428e9 | − | 1.06215e10i | 0.159791 | − | 0.700091i | ||||
\(184\) | 2.20252e9 | + | 5.61192e9i | 0.141657 | + | 0.360937i | ||||
\(185\) | −2.32194e9 | − | 3.09841e10i | −0.145740 | − | 1.94476i | ||||
\(186\) | −2.20298e9 | − | 3.32046e8i | −0.134959 | − | 0.0203418i | ||||
\(187\) | −2.80066e9 | + | 2.59863e9i | −0.167484 | + | 0.155402i | ||||
\(188\) | 5.83662e9 | − | 2.81077e9i | 0.340762 | − | 0.164102i | ||||
\(189\) | −9.44273e9 | − | 6.43794e9i | −0.538294 | − | 0.367002i | ||||
\(190\) | −1.81477e8 | + | 4.62396e8i | −0.0101025 | + | 0.0257408i | ||||
\(191\) | −1.73336e9 | − | 5.34670e8i | −0.0942406 | − | 0.0290694i | 0.247276 | − | 0.968945i | \(-0.420464\pi\) |
−0.341517 | + | 0.939876i | \(0.610941\pi\) | |||||||
\(192\) | 4.90050e8 | + | 4.54700e8i | 0.0260247 | + | 0.0241474i | ||||
\(193\) | 8.88502e8 | + | 1.11415e9i | 0.0460946 | + | 0.0578008i | 0.804344 | − | 0.594163i | \(-0.202517\pi\) |
−0.758250 | + | 0.651964i | \(0.773945\pi\) | |||||||
\(194\) | 5.59573e9 | + | 7.01683e9i | 0.283628 | + | 0.355658i | ||||
\(195\) | 7.57501e9 | + | 7.02858e9i | 0.375169 | + | 0.348106i | ||||
\(196\) | 6.16726e9 | + | 1.90235e9i | 0.298497 | + | 0.0920741i | ||||
\(197\) | 9.84137e9 | − | 2.50754e10i | 0.465540 | − | 1.18618i | −0.484706 | − | 0.874677i | \(-0.661073\pi\) |
0.950246 | − | 0.311500i | \(-0.100832\pi\) | |||||||
\(198\) | 2.47196e9 | + | 1.68535e9i | 0.114300 | + | 0.0779286i | ||||
\(199\) | 1.16454e10 | − | 5.60813e9i | 0.526399 | − | 0.253501i | −0.151757 | − | 0.988418i | \(-0.548493\pi\) |
0.678157 | + | 0.734917i | \(0.262779\pi\) | |||||||
\(200\) | −1.31617e10 | + | 1.22123e10i | −0.581670 | + | 0.539710i | ||||
\(201\) | 2.08966e9 | + | 3.14966e8i | 0.0903012 | + | 0.0136107i | ||||
\(202\) | 3.89245e8 | + | 5.19411e9i | 0.0164491 | + | 0.219498i | ||||
\(203\) | −1.26587e10 | − | 3.22538e10i | −0.523186 | − | 1.33306i | ||||
\(204\) | 1.15131e9 | − | 5.04421e9i | 0.0465432 | − | 0.203919i | ||||
\(205\) | −4.60492e9 | + | 6.14483e10i | −0.182108 | + | 2.43006i | ||||
\(206\) | 1.25315e10 | − | 3.86544e9i | 0.484841 | − | 0.149554i | ||||
\(207\) | 9.38059e9 | + | 4.51745e9i | 0.355111 | + | 0.171012i | ||||
\(208\) | −5.15099e9 | − | 8.92178e9i | −0.190812 | − | 0.330496i | ||||
\(209\) | 2.62406e8 | − | 4.54501e8i | 0.00951297 | − | 0.0164769i | ||||
\(210\) | 5.13422e9 | − | 3.50045e9i | 0.182175 | − | 0.124205i | ||||
\(211\) | 8.19526e8 | + | 3.59058e9i | 0.0284637 | + | 0.124708i | 0.987164 | − | 0.159711i | \(-0.0510564\pi\) |
−0.958700 | + | 0.284419i | \(0.908199\pi\) | |||||||
\(212\) | 5.92591e9 | − | 8.93187e8i | 0.201485 | − | 0.0303690i | ||||
\(213\) | −3.73555e9 | + | 4.68423e9i | −0.124350 | + | 0.155930i | ||||
\(214\) | 1.22913e10 | 0.400623 | ||||||||
\(215\) | 1.42730e10 | − | 4.22710e10i | 0.455558 | − | 1.34918i | ||||
\(216\) | −2.04505e10 | −0.639239 | ||||||||
\(217\) | −1.11139e10 | + | 1.39364e10i | −0.340249 | + | 0.426659i | ||||
\(218\) | 1.57584e9 | − | 2.37520e8i | 0.0472562 | − | 0.00712272i | ||||
\(219\) | −2.77225e8 | − | 1.21460e9i | −0.00814394 | − | 0.0356809i | ||||
\(220\) | 1.39330e10 | − | 9.49934e9i | 0.400998 | − | 0.273396i | ||||
\(221\) | −7.55151e9 | + | 1.30796e10i | −0.212946 | + | 0.368833i | ||||
\(222\) | 4.87659e9 | + | 8.44651e9i | 0.134750 | + | 0.233393i | ||||
\(223\) | −2.43269e10 | − | 1.17152e10i | −0.658742 | − | 0.317233i | 0.0744805 | − | 0.997222i | \(-0.476270\pi\) |
−0.733222 | + | 0.679989i | \(0.761984\pi\) | |||||||
\(224\) | −2.77916e10 | + | 8.57258e9i | −0.737561 | + | 0.227507i | ||||
\(225\) | −2.31725e9 | + | 3.09215e10i | −0.0602769 | + | 0.804339i | ||||
\(226\) | 3.76650e7 | − | 1.65021e8i | 0.000960395 | − | 0.00420776i | ||||
\(227\) | −2.78951e9 | − | 7.10756e9i | −0.0697288 | − | 0.177666i | 0.891761 | − | 0.452507i | \(-0.149470\pi\) |
−0.961490 | + | 0.274841i | \(0.911375\pi\) | |||||||
\(228\) | 5.31123e7 | + | 7.08735e8i | 0.00130163 | + | 0.0173691i | ||||
\(229\) | −1.33594e10 | − | 2.01360e9i | −0.321016 | − | 0.0483854i | −0.0134425 | − | 0.999910i | \(-0.504279\pi\) |
−0.307574 | + | 0.951524i | \(0.599517\pi\) | |||||||
\(230\) | −9.43785e9 | + | 8.75705e9i | −0.222381 | + | 0.206340i | ||||
\(231\) | −5.91508e9 | + | 2.84855e9i | −0.136680 | + | 0.0658218i | ||||
\(232\) | −5.12282e10 | − | 3.49268e10i | −1.16095 | − | 0.791521i | ||||
\(233\) | −2.14620e10 | + | 5.46843e10i | −0.477055 | + | 1.21552i | 0.466565 | + | 0.884487i | \(0.345491\pi\) |
−0.943620 | + | 0.331030i | \(0.892604\pi\) | |||||||
\(234\) | 1.13015e10 | + | 3.48606e9i | 0.246414 | + | 0.0760088i | ||||
\(235\) | 2.25080e10 | + | 2.08844e10i | 0.481429 | + | 0.446701i | ||||
\(236\) | −3.63654e10 | − | 4.56008e10i | −0.763105 | − | 0.956904i | ||||
\(237\) | −5.57786e9 | − | 6.99441e9i | −0.114842 | − | 0.144007i | ||||
\(238\) | 6.65762e9 | + | 6.17737e9i | 0.134500 | + | 0.124798i | ||||
\(239\) | 2.72684e10 | + | 8.41119e9i | 0.540591 | + | 0.166750i | 0.553013 | − | 0.833173i | \(-0.313478\pi\) |
−0.0124219 | + | 0.999923i | \(0.503954\pi\) | |||||||
\(240\) | −6.11122e9 | + | 1.55711e10i | −0.118899 | + | 0.302949i | ||||
\(241\) | 8.52498e10 | + | 5.81224e10i | 1.62786 | + | 1.10986i | 0.910803 | + | 0.412840i | \(0.135463\pi\) |
0.717056 | + | 0.697015i | \(0.245489\pi\) | |||||||
\(242\) | −1.68683e10 | + | 8.12333e9i | −0.316156 | + | 0.152253i | ||||
\(243\) | −4.03968e10 | + | 3.74827e10i | −0.743222 | + | 0.689609i | ||||
\(244\) | −6.94963e10 | − | 1.04749e10i | −1.25518 | − | 0.189189i | ||||
\(245\) | 2.28599e9 | + | 3.05045e10i | 0.0405348 | + | 0.540899i | ||||
\(246\) | −7.06670e9 | − | 1.80057e10i | −0.123029 | − | 0.313474i | ||||
\(247\) | 4.61651e8 | − | 2.02262e9i | 0.00789182 | − | 0.0345763i | ||||
\(248\) | −2.38367e9 | + | 3.18078e10i | −0.0400141 | + | 0.533951i | ||||
\(249\) | 4.99908e10 | − | 1.54201e10i | 0.824125 | − | 0.254209i | ||||
\(250\) | −9.34843e8 | − | 4.50197e8i | −0.0151359 | − | 0.00728907i | ||||
\(251\) | −1.26846e10 | − | 2.19703e10i | −0.201718 | − | 0.349385i | 0.747364 | − | 0.664414i | \(-0.231319\pi\) |
−0.949082 | + | 0.315029i | \(0.897986\pi\) | |||||||
\(252\) | −1.62087e10 | + | 2.80744e10i | −0.253190 | + | 0.438538i | ||||
\(253\) | 1.12389e10 | − | 7.66258e9i | 0.172458 | − | 0.117580i | ||||
\(254\) | −5.57288e9 | − | 2.44164e10i | −0.0840094 | − | 0.368069i | ||||
\(255\) | 2.42490e10 | − | 3.65495e9i | 0.359140 | − | 0.0541316i | ||||
\(256\) | −1.51391e10 | + | 1.89839e10i | −0.220303 | + | 0.276252i | ||||
\(257\) | 3.63907e10 | 0.520345 | 0.260173 | − | 0.965562i | \(-0.416221\pi\) | ||||
0.260173 | + | 0.965562i | \(0.416221\pi\) | |||||||
\(258\) | 1.72052e9 | + | 1.38988e10i | 0.0241753 | + | 0.195294i | ||||
\(259\) | 7.80360e10 | 1.07757 | ||||||||
\(260\) | 4.15629e10 | − | 5.21182e10i | 0.564061 | − | 0.707310i | ||||
\(261\) | −1.05883e11 | + | 1.59592e10i | −1.41235 | + | 0.212878i | ||||
\(262\) | −4.23159e9 | − | 1.85398e10i | −0.0554815 | − | 0.243080i | ||||
\(263\) | 1.12973e11 | − | 7.70239e10i | 1.45605 | − | 0.992715i | 0.461642 | − | 0.887066i | \(-0.347260\pi\) |
0.994404 | − | 0.105649i | \(-0.0336919\pi\) | |||||||
\(264\) | −5.87400e9 | + | 1.01741e10i | −0.0744245 | + | 0.128907i | ||||
\(265\) | 1.42022e10 | + | 2.45989e10i | 0.176908 | + | 0.306414i | ||||
\(266\) | −1.12402e9 | − | 5.41298e8i | −0.0137659 | − | 0.00662933i | ||||
\(267\) | −4.87182e10 | + | 1.50276e10i | −0.586666 | + | 0.180962i | ||||
\(268\) | 1.01877e9 | − | 1.35946e10i | 0.0120634 | − | 0.160975i | ||||
\(269\) | −6.96350e9 | + | 3.05091e10i | −0.0810854 | + | 0.355258i | −0.999152 | − | 0.0411672i | \(-0.986892\pi\) |
0.918067 | + | 0.396426i | \(0.129749\pi\) | |||||||
\(270\) | −1.59559e10 | − | 4.06550e10i | −0.182719 | − | 0.465561i | ||||
\(271\) | 9.46214e9 | + | 1.26263e11i | 0.106568 | + | 1.42205i | 0.752467 | + | 0.658630i | \(0.228864\pi\) |
−0.645899 | + | 0.763423i | \(0.723517\pi\) | |||||||
\(272\) | −2.41750e10 | − | 3.64380e9i | −0.267797 | − | 0.0403640i | ||||
\(273\) | −1.90250e10 | + | 1.76526e10i | −0.207296 | + | 0.192343i | ||||
\(274\) | 1.99987e10 | − | 9.63085e9i | 0.214350 | − | 0.103226i | ||||
\(275\) | 3.34720e10 | + | 2.28208e10i | 0.352926 | + | 0.240621i | ||||
\(276\) | −6.72998e9 | + | 1.71477e10i | −0.0698108 | + | 0.177875i | ||||
\(277\) | 1.12482e10 | + | 3.46961e9i | 0.114795 | + | 0.0354097i | 0.351621 | − | 0.936143i | \(-0.385631\pi\) |
−0.236825 | + | 0.971552i | \(0.576107\pi\) | |||||||
\(278\) | −2.06829e9 | − | 1.91909e9i | −0.0207687 | − | 0.0192705i | ||||
\(279\) | 3.43462e10 | + | 4.30688e10i | 0.339360 | + | 0.425543i | ||||
\(280\) | −5.54702e10 | − | 6.95575e10i | −0.539323 | − | 0.676290i | ||||
\(281\) | −1.44698e11 | − | 1.34260e11i | −1.38447 | − | 1.28460i | −0.916035 | − | 0.401099i | \(-0.868628\pi\) |
−0.468433 | − | 0.883499i | \(-0.655181\pi\) | |||||||
\(282\) | −9.20997e9 | − | 2.84090e9i | −0.0867236 | − | 0.0267507i | ||||
\(283\) | 5.37152e10 | − | 1.36864e11i | 0.497804 | − | 1.26838i | −0.432514 | − | 0.901627i | \(-0.642373\pi\) |
0.930317 | − | 0.366756i | \(-0.119532\pi\) | |||||||
\(284\) | 3.19344e10 | + | 2.17725e10i | 0.291290 | + | 0.198598i | ||||
\(285\) | −3.03502e9 | + | 1.46159e9i | −0.0272495 | + | 0.0131227i | ||||
\(286\) | 1.13268e10 | − | 1.05097e10i | 0.100106 | − | 0.0928849i | ||||
\(287\) | −1.53034e11 | − | 2.30662e10i | −1.33144 | − | 0.200682i | ||||
\(288\) | 6.71674e9 | + | 8.96287e10i | 0.0575297 | + | 0.767681i | ||||
\(289\) | −3.02306e10 | − | 7.70263e10i | −0.254922 | − | 0.649529i | ||||
\(290\) | 2.94640e10 | − | 1.29090e11i | 0.244625 | − | 1.07177i | ||||
\(291\) | −4.54832e9 | + | 6.06932e10i | −0.0371820 | + | 0.496160i | ||||
\(292\) | −7.67987e9 | + | 2.36893e9i | −0.0618203 | + | 0.0190690i | ||||
\(293\) | 1.46677e11 | + | 7.06360e10i | 1.16267 | + | 0.559915i | 0.912817 | − | 0.408368i | \(-0.133902\pi\) |
0.249857 | + | 0.968283i | \(0.419616\pi\) | |||||||
\(294\) | −4.80111e9 | − | 8.31577e9i | −0.0374782 | − | 0.0649141i | ||||
\(295\) | 1.38223e11 | − | 2.39409e11i | 1.06263 | − | 1.84053i | ||||
\(296\) | 1.15375e11 | − | 7.86617e10i | 0.873576 | − | 0.595594i | ||||
\(297\) | 1.02677e10 | + | 4.49859e10i | 0.0765722 | + | 0.335485i | ||||
\(298\) | −2.33438e9 | + | 3.51851e8i | −0.0171474 | + | 0.00258456i | ||||
\(299\) | 3.35264e10 | − | 4.20408e10i | 0.242587 | − | 0.304194i | ||||
\(300\) | −5.48620e10 | −0.391044 | ||||||||
\(301\) | 1.03190e11 | + | 4.36809e10i | 0.724580 | + | 0.306720i | ||||
\(302\) | 9.40339e10 | 0.650509 | ||||||||
\(303\) | −2.20234e10 | + | 2.76165e10i | −0.150104 | + | 0.188225i | ||||
\(304\) | 3.32082e9 | − | 5.00533e8i | 0.0223005 | − | 0.00336126i | ||||
\(305\) | −7.41246e10 | − | 3.24761e11i | −0.490470 | − | 2.14889i | ||||
\(306\) | 2.31901e10 | − | 1.58108e10i | 0.151202 | − | 0.103088i | ||||
\(307\) | −7.04256e10 | + | 1.21981e11i | −0.452489 | + | 0.783734i | −0.998540 | − | 0.0540179i | \(-0.982797\pi\) |
0.546051 | + | 0.837752i | \(0.316131\pi\) | |||||||
\(308\) | 2.11762e10 | + | 3.66783e10i | 0.134082 | + | 0.232237i | ||||
\(309\) | 8.01264e10 | + | 3.85869e10i | 0.499992 | + | 0.240783i | ||||
\(310\) | −6.50926e10 | + | 2.00784e10i | −0.400317 | + | 0.123481i | ||||
\(311\) | −9.48448e8 | + | 1.26562e10i | −0.00574899 | + | 0.0767150i | −0.999340 | − | 0.0363173i | \(-0.988437\pi\) |
0.993591 | + | 0.113032i | \(0.0360563\pi\) | |||||||
\(312\) | −1.03341e10 | + | 4.52767e10i | −0.0617415 | + | 0.270507i | ||||
\(313\) | 8.97975e10 | + | 2.28800e11i | 0.528828 | + | 1.34743i | 0.906779 | + | 0.421607i | \(0.138534\pi\) |
−0.377951 | + | 0.925826i | \(0.623371\pi\) | |||||||
\(314\) | −7.51149e7 | − | 1.00234e9i | −0.000436057 | − | 0.00581877i | ||||
\(315\) | −1.51933e11 | − | 2.29002e10i | −0.869471 | − | 0.131052i | ||||
\(316\) | −4.23059e10 | + | 3.92541e10i | −0.238676 | + | 0.221459i | ||||
\(317\) | 1.87206e11 | − | 9.01537e10i | 1.04125 | − | 0.501438i | 0.166511 | − | 0.986040i | \(-0.446750\pi\) |
0.874735 | + | 0.484602i | \(0.161035\pi\) | |||||||
\(318\) | −7.36685e9 | − | 5.02263e9i | −0.0403980 | − | 0.0275429i | ||||
\(319\) | −5.11094e10 | + | 1.30225e11i | −0.276339 | + | 0.704101i | ||||
\(320\) | 1.95321e10 | + | 6.02486e9i | 0.104130 | + | 0.0321197i | ||||
\(321\) | 6.11027e10 | + | 5.66950e10i | 0.321209 | + | 0.298039i | ||||
\(322\) | −2.01608e10 | − | 2.52809e10i | −0.104510 | − | 0.131051i | ||||
\(323\) | −3.06970e9 | − | 3.84928e9i | −0.0156922 | − | 0.0196774i | ||||
\(324\) | 4.77734e10 | + | 4.43272e10i | 0.240843 | + | 0.223469i | ||||
\(325\) | 1.53030e11 | + | 4.72036e10i | 0.760857 | + | 0.234693i | ||||
\(326\) | −1.43172e10 | + | 3.64796e10i | −0.0702066 | + | 0.178884i | ||||
\(327\) | 8.92945e9 | + | 6.08800e9i | 0.0431877 | + | 0.0294449i | ||||
\(328\) | −2.49511e11 | + | 1.20158e11i | −1.19030 | + | 0.573219i | ||||
\(329\) | −5.65298e10 | + | 5.24520e10i | −0.266009 | + | 0.246820i | ||||
\(330\) | −2.48087e10 | − | 3.73931e9i | −0.115157 | − | 0.0173571i | ||||
\(331\) | 2.71323e10 | + | 3.62055e11i | 0.124240 | + | 1.65786i | 0.616455 | + | 0.787390i | \(0.288568\pi\) |
−0.492215 | + | 0.870473i | \(0.663813\pi\) | |||||||
\(332\) | −1.23297e11 | − | 3.14156e11i | −0.556969 | − | 1.41913i | ||||
\(333\) | 5.36635e10 | − | 2.35115e11i | 0.239155 | − | 1.04781i | ||||
\(334\) | −1.35001e10 | + | 1.80147e11i | −0.0593580 | + | 0.792077i | ||||
\(335\) | 6.17443e10 | − | 1.90456e10i | 0.267852 | − | 0.0826215i | ||||
\(336\) | −3.78512e10 | − | 1.82282e10i | −0.162014 | − | 0.0780218i | ||||
\(337\) | −1.70067e11 | − | 2.94564e11i | −0.718266 | − | 1.24407i | −0.961686 | − | 0.274152i | \(-0.911603\pi\) |
0.243421 | − | 0.969921i | \(-0.421730\pi\) | |||||||
\(338\) | −2.03490e10 | + | 3.52456e10i | −0.0848044 | + | 0.146886i | ||||
\(339\) | 9.48420e8 | − | 6.46622e8i | 0.00390034 | − | 0.00265920i | ||||
\(340\) | −3.52023e10 | − | 1.54231e11i | −0.142862 | − | 0.625919i | ||||
\(341\) | 7.11657e10 | − | 1.07265e10i | 0.285021 | − | 0.0429599i | ||||
\(342\) | −2.40384e9 | + | 3.01432e9i | −0.00950141 | + | 0.0119144i | ||||
\(343\) | −2.78526e11 | −1.08653 | ||||||||
\(344\) | 1.96596e11 | − | 3.94352e10i | 0.756940 | − | 0.151835i | ||||
\(345\) | −8.73105e10 | −0.331803 | ||||||||
\(346\) | 1.71118e10 | − | 2.14575e10i | 0.0641878 | − | 0.0804889i | ||||
\(347\) | 2.92470e10 | − | 4.40827e9i | 0.108292 | − | 0.0163225i | −0.0946724 | − | 0.995508i | \(-0.530180\pi\) |
0.202965 | + | 0.979186i | \(0.434942\pi\) | |||||||
\(348\) | −4.21569e10 | − | 1.84702e11i | −0.154086 | − | 0.675093i | ||||
\(349\) | −1.48182e11 | + | 1.01029e11i | −0.534664 | + | 0.364528i | −0.800351 | − | 0.599531i | \(-0.795354\pi\) |
0.265687 | + | 0.964059i | \(0.414401\pi\) | |||||||
\(350\) | 4.81509e10 | − | 8.33999e10i | 0.171514 | − | 0.297070i | ||||
\(351\) | 9.12037e10 | + | 1.57969e11i | 0.320723 | + | 0.555509i | ||||
\(352\) | 1.05797e11 | + | 5.09490e10i | 0.367308 | + | 0.176886i | ||||
\(353\) | 1.56183e11 | − | 4.81762e10i | 0.535363 | − | 0.165138i | −0.0152724 | − | 0.999883i | \(-0.504862\pi\) |
0.550636 | + | 0.834746i | \(0.314385\pi\) | |||||||
\(354\) | −6.48482e9 | + | 8.65339e10i | −0.0219474 | + | 0.292868i | ||||
\(355\) | −4.07639e10 | + | 1.78598e11i | −0.136222 | + | 0.596828i | ||||
\(356\) | 1.20158e11 | + | 3.06159e11i | 0.396487 | + | 1.01023i | ||||
\(357\) | 4.60265e9 | + | 6.14181e10i | 0.0149969 | + | 0.200120i | ||||
\(358\) | 2.12372e10 | + | 3.20100e9i | 0.0683320 | + | 0.0102994i | ||||
\(359\) | −5.30898e10 | + | 4.92602e10i | −0.168689 | + | 0.156520i | −0.760000 | − | 0.649923i | \(-0.774801\pi\) |
0.591311 | + | 0.806444i | \(0.298611\pi\) | |||||||
\(360\) | −2.47716e11 | + | 1.19294e11i | −0.777306 | + | 0.374331i | ||||
\(361\) | −2.66058e11 | − | 1.81395e11i | −0.824507 | − | 0.562139i | ||||
\(362\) | 3.87292e10 | − | 9.86804e10i | 0.118536 | − | 0.302025i | ||||
\(363\) | −1.21326e11 | − | 3.74240e10i | −0.366752 | − | 0.113128i | ||||
\(364\) | 1.22730e11 | + | 1.13877e11i | 0.366434 | + | 0.340001i | ||||
\(365\) | −2.37504e10 | − | 2.97821e10i | −0.0700411 | − | 0.0878288i | ||||
\(366\) | 6.51947e10 | + | 8.17516e10i | 0.189910 | + | 0.238140i | ||||
\(367\) | 1.04950e11 | + | 9.73796e10i | 0.301985 | + | 0.280202i | 0.816580 | − | 0.577232i | \(-0.195867\pi\) |
−0.514595 | + | 0.857434i | \(0.672058\pi\) | |||||||
\(368\) | 8.31769e10 | + | 2.56567e10i | 0.236422 | + | 0.0729264i | ||||
\(369\) | −1.74734e11 | + | 4.45216e11i | −0.490636 | + | 1.25012i | ||||
\(370\) | 2.46395e11 | + | 1.67989e11i | 0.683477 | + | 0.465987i | ||||
\(371\) | −6.42739e10 | + | 3.09527e10i | −0.176138 | + | 0.0848234i | ||||
\(372\) | −7.14462e10 | + | 6.62924e10i | −0.193435 | + | 0.179482i | ||||
\(373\) | −3.84743e11 | − | 5.79907e10i | −1.02916 | − | 0.155120i | −0.387307 | − | 0.921951i | \(-0.626595\pi\) |
−0.641850 | + | 0.766830i | \(0.721833\pi\) | |||||||
\(374\) | −2.74026e9 | − | 3.65663e10i | −0.00724219 | − | 0.0966403i | ||||
\(375\) | −2.57072e9 | − | 6.55010e9i | −0.00671297 | − | 0.0171044i | ||||
\(376\) | −3.07063e10 | + | 1.34533e11i | −0.0792286 | + | 0.347123i | ||||
\(377\) | −4.13272e10 | + | 5.51473e11i | −0.105366 | + | 1.40601i | ||||
\(378\) | 1.04816e11 | − | 3.23314e10i | 0.264067 | − | 0.0814538i | ||||
\(379\) | −6.35690e11 | − | 3.06132e11i | −1.58259 | − | 0.762136i | −0.583830 | − | 0.811876i | \(-0.698446\pi\) |
−0.998762 | + | 0.0497398i | \(0.984161\pi\) | |||||||
\(380\) | 1.08655e10 | + | 1.88196e10i | 0.0267315 | + | 0.0463003i | ||||
\(381\) | 8.49194e10 | − | 1.47085e11i | 0.206464 | − | 0.357606i | ||||
\(382\) | 1.43847e10 | − | 9.80734e9i | 0.0345634 | − | 0.0235649i | ||||
\(383\) | −1.63615e11 | − | 7.16845e11i | −0.388534 | − | 1.70228i | −0.669710 | − | 0.742623i | \(-0.733581\pi\) |
0.281176 | − | 0.959656i | \(-0.409276\pi\) | |||||||
\(384\) | −1.98089e11 | + | 2.98571e10i | −0.464910 | + | 0.0700740i | ||||
\(385\) | −1.25158e11 | + | 1.56943e11i | −0.290326 | + | 0.364057i | ||||
\(386\) | −1.36773e10 | −0.0313587 | ||||||||
\(387\) | 2.02567e11 | − | 2.80862e11i | 0.459060 | − | 0.636493i | ||||
\(388\) | 3.92630e11 | 0.879511 | ||||||||
\(389\) | 1.02598e11 | − | 1.28654e11i | 0.227178 | − | 0.284873i | −0.655158 | − | 0.755492i | \(-0.727398\pi\) |
0.882336 | + | 0.470619i | \(0.155969\pi\) | |||||||
\(390\) | −9.80713e10 | + | 1.47819e10i | −0.214660 | + | 0.0323548i | ||||
\(391\) | −2.83957e10 | − | 1.24410e11i | −0.0614409 | − | 0.269190i | ||||
\(392\) | −1.13590e11 | + | 7.74441e10i | −0.242969 | + | 0.165654i | ||||
\(393\) | 6.44809e10 | − | 1.11684e11i | 0.136353 | − | 0.236170i | ||||
\(394\) | 1.29270e11 | + | 2.23903e11i | 0.270250 | + | 0.468086i | ||||
\(395\) | −2.46449e11 | − | 1.18684e11i | −0.509378 | − | 0.245303i | ||||
\(396\) | 1.25071e11 | − | 3.85792e10i | 0.255580 | − | 0.0788360i | ||||
\(397\) | −1.46733e10 | + | 1.95801e11i | −0.0296463 | + | 0.395602i | 0.962566 | + | 0.271046i | \(0.0873696\pi\) |
−0.992213 | + | 0.124556i | \(0.960249\pi\) | |||||||
\(398\) | −2.76049e10 | + | 1.20945e11i | −0.0551459 | + | 0.241610i | ||||
\(399\) | −3.09094e9 | − | 7.87558e9i | −0.00610537 | − | 0.0155562i | ||||
\(400\) | 1.93727e10 | + | 2.58511e11i | 0.0378373 | + | 0.504904i | ||||
\(401\) | 1.22333e11 | + | 1.84387e10i | 0.236261 | + | 0.0356107i | 0.266106 | − | 0.963944i | \(-0.414263\pi\) |
−0.0298442 | + | 0.999555i | \(0.509501\pi\) | |||||||
\(402\) | −1.48683e10 | + | 1.37957e10i | −0.0283951 | + | 0.0263468i | ||||
\(403\) | 2.56329e11 | − | 1.23441e11i | 0.484088 | − | 0.233125i | ||||
\(404\) | 1.88274e11 | + | 1.28363e11i | 0.351620 | + | 0.239730i | ||||
\(405\) | −1.12850e11 | + | 2.87537e11i | −0.208427 | + | 0.531062i | ||||
\(406\) | 3.17779e11 | + | 9.80218e10i | 0.580441 | + | 0.179042i | ||||
\(407\) | −2.30963e11 | − | 2.14302e11i | −0.417222 | − | 0.387125i | ||||
\(408\) | 6.87156e10 | + | 8.61666e10i | 0.122768 | + | 0.153946i | ||||
\(409\) | −3.35634e11 | − | 4.20871e11i | −0.593077 | − | 0.743695i | 0.391204 | − | 0.920304i | \(-0.372059\pi\) |
−0.984281 | + | 0.176609i | \(0.943487\pi\) | |||||||
\(410\) | −4.33543e11 | − | 4.02269e11i | −0.757713 | − | 0.703055i | ||||
\(411\) | 1.43841e11 | + | 4.43691e10i | 0.248654 | + | 0.0766995i | ||||
\(412\) | 2.09601e11 | − | 5.34054e11i | 0.358389 | − | 0.913161i | ||||
\(413\) | 5.73663e11 | + | 3.91116e11i | 0.970245 | + | 0.661502i | ||||
\(414\) | −9.00330e10 | + | 4.33576e10i | −0.150626 | + | 0.0725377i | ||||
\(415\) | 1.17257e12 | − | 1.08799e12i | 1.94055 | − | 1.80056i | ||||
\(416\) | 4.59011e11 | + | 6.91847e10i | 0.751455 | + | 0.113264i | ||||
\(417\) | −1.42988e9 | − | 1.90804e10i | −0.00231573 | − | 0.0309012i | ||||
\(418\) | 1.84024e9 | + | 4.68885e9i | 0.00294836 | + | 0.00751230i | ||||
\(419\) | 1.20866e11 | − | 5.29549e11i | 0.191576 | − | 0.839349i | −0.784188 | − | 0.620523i | \(-0.786920\pi\) |
0.975764 | − | 0.218826i | \(-0.0702227\pi\) | |||||||
\(420\) | 2.03152e10 | − | 2.71087e11i | 0.0318566 | − | 0.425097i | ||||
\(421\) | 2.82436e11 | − | 8.71200e10i | 0.438178 | − | 0.135160i | −0.0678143 | − | 0.997698i | \(-0.521603\pi\) |
0.505992 | + | 0.862538i | \(0.331126\pi\) | |||||||
\(422\) | −3.18473e10 | − | 1.53369e10i | −0.0488840 | − | 0.0235413i | ||||
\(423\) | 1.19159e11 | + | 2.06389e11i | 0.180965 | + | 0.313440i | ||||
\(424\) | −6.38275e10 | + | 1.10552e11i | −0.0959095 | + | 0.166120i | ||||
\(425\) | 3.14010e11 | − | 2.14088e11i | 0.466867 | − | 0.318305i | ||||
\(426\) | −1.27958e10 | − | 5.60620e10i | −0.0188245 | − | 0.0824757i | ||||
\(427\) | 8.27282e11 | − | 1.24693e11i | 1.20428 | − | 0.181516i | ||||
\(428\) | 3.35261e11 | − | 4.20404e11i | 0.482932 | − | 0.605578i | ||||
\(429\) | 1.04785e11 | 0.149363 | ||||||||
\(430\) | 2.31784e11 | + | 3.60058e11i | 0.326945 | + | 0.507883i | ||||
\(431\) | −1.16507e12 | −1.62631 | −0.813157 | − | 0.582044i | \(-0.802253\pi\) | ||||
−0.813157 | + | 0.582044i | \(0.802253\pi\) | |||||||
\(432\) | −1.84099e11 | + | 2.30853e11i | −0.254317 | + | 0.318904i | ||||
\(433\) | −4.40819e11 | + | 6.64428e10i | −0.602650 | + | 0.0908348i | −0.443279 | − | 0.896384i | \(-0.646185\pi\) |
−0.159371 | + | 0.987219i | \(0.550947\pi\) | |||||||
\(434\) | −3.80697e10 | − | 1.66794e11i | −0.0515081 | − | 0.225672i | ||||
\(435\) | 7.41916e11 | − | 5.05830e11i | 0.993466 | − | 0.677334i | ||||
\(436\) | 3.48592e10 | − | 6.03779e10i | 0.0461985 | − | 0.0800182i | ||||
\(437\) | 8.76457e9 | + | 1.51807e10i | 0.0114965 | + | 0.0199125i | ||||
\(438\) | 1.07732e10 | + | 5.18808e9i | 0.0139865 | + | 0.00673555i | ||||
\(439\) | −1.33305e11 | + | 4.11192e10i | −0.171300 | + | 0.0528390i | −0.379219 | − | 0.925307i | \(-0.623807\pi\) |
0.207919 | + | 0.978146i | \(0.433331\pi\) | |||||||
\(440\) | −2.68435e10 | + | 3.58201e11i | −0.0341430 | + | 0.455606i | ||||
\(441\) | −5.28328e10 | + | 2.31476e11i | −0.0665166 | + | 0.291428i | ||||
\(442\) | −5.29582e10 | − | 1.34935e11i | −0.0659984 | − | 0.168161i | ||||
\(443\) | −6.93043e10 | − | 9.24802e11i | −0.0854956 | − | 1.14086i | −0.860688 | − | 0.509133i | \(-0.829966\pi\) |
0.775192 | − | 0.631726i | \(-0.217653\pi\) | |||||||
\(444\) | 4.21915e11 | + | 6.35934e10i | 0.515230 | + | 0.0776585i | ||||
\(445\) | −1.14272e12 | + | 1.06029e12i | −1.38141 | + | 1.28176i | ||||
\(446\) | 2.33485e11 | − | 1.12440e11i | 0.279416 | − | 0.134560i | ||||
\(447\) | −1.32277e10 | − | 9.01848e9i | −0.0156711 | − | 0.0106844i | ||||
\(448\) | −1.87553e10 | + | 4.77877e10i | −0.0219975 | + | 0.0560487i | ||||
\(449\) | −1.31211e12 | − | 4.04731e11i | −1.52356 | − | 0.469957i | −0.583832 | − | 0.811874i | \(-0.698447\pi\) |
−0.939730 | + | 0.341918i | \(0.888924\pi\) | |||||||
\(450\) | −2.18164e11 | − | 2.02426e11i | −0.250799 | − | 0.232708i | ||||
\(451\) | 3.89590e11 | + | 4.88531e11i | 0.443418 | + | 0.556029i | ||||
\(452\) | −4.61692e9 | − | 5.78944e9i | −0.00520271 | − | 0.00652399i | ||||
\(453\) | 4.67463e11 | + | 4.33743e11i | 0.521562 | + | 0.483939i | ||||
\(454\) | 7.00269e10 | + | 2.16004e10i | 0.0773595 | + | 0.0238622i | ||||
\(455\) | −2.89912e11 | + | 7.38685e11i | −0.317114 | + | 0.807993i | ||||
\(456\) | −1.25086e10 | − | 8.52825e9i | −0.0135478 | − | 0.00923673i | ||||
\(457\) | −8.17080e11 | + | 3.93485e11i | −0.876277 | + | 0.421993i | −0.817263 | − | 0.576264i | \(-0.804510\pi\) |
−0.0590138 | + | 0.998257i | \(0.518796\pi\) | |||||||
\(458\) | 9.50541e10 | − | 8.81973e10i | 0.100943 | − | 0.0936614i | ||||
\(459\) | 4.28044e11 | + | 6.45172e10i | 0.450123 | + | 0.0678451i | ||||
\(460\) | 4.20911e10 | + | 5.61667e11i | 0.0438309 | + | 0.584882i | ||||
\(461\) | 4.11222e11 | + | 1.04778e12i | 0.424055 | + | 1.08048i | 0.970097 | + | 0.242717i | \(0.0780388\pi\) |
−0.546042 | + | 0.837758i | \(0.683866\pi\) | |||||||
\(462\) | 1.40214e10 | − | 6.14320e10i | 0.0143187 | − | 0.0627344i | ||||
\(463\) | 5.89806e10 | − | 7.87042e11i | 0.0596479 | − | 0.795946i | −0.884525 | − | 0.466494i | \(-0.845517\pi\) |
0.944172 | − | 0.329452i | \(-0.106864\pi\) | |||||||
\(464\) | −8.55431e11 | + | 2.63866e11i | −0.856750 | + | 0.264272i | ||||
\(465\) | −4.16203e11 | − | 2.00433e11i | −0.412826 | − | 0.198807i | ||||
\(466\) | −2.81912e11 | − | 4.88286e11i | −0.276934 | − | 0.479664i | ||||
\(467\) | −1.67542e11 | + | 2.90191e11i | −0.163004 | + | 0.282331i | −0.935945 | − | 0.352147i | \(-0.885452\pi\) |
0.772941 | + | 0.634478i | \(0.218785\pi\) | |||||||
\(468\) | 4.27499e11 | − | 2.91464e11i | 0.411935 | − | 0.280853i | ||||
\(469\) | 3.61114e10 | + | 1.58214e11i | 0.0344641 | + | 0.150997i | ||||
\(470\) | −2.91404e11 | + | 4.39221e10i | −0.275458 | + | 0.0415186i | ||||
\(471\) | 4.24999e9 | − | 5.32932e9i | 0.00397919 | − | 0.00498974i | ||||
\(472\) | 1.24241e12 | 1.15219 | ||||||||
\(473\) | −1.85453e11 | − | 4.12661e11i | −0.170357 | − | 0.379069i | ||||
\(474\) | 8.58636e10 | 0.0781280 | ||||||||
\(475\) | −3.25496e10 | + | 4.08160e10i | −0.0293376 | + | 0.0367882i | ||||
\(476\) | 3.92883e11 | − | 5.92175e10i | 0.350777 | − | 0.0528712i | ||||
\(477\) | 4.90579e10 | + | 2.14937e11i | 0.0433886 | + | 0.190098i | ||||
\(478\) | −2.26294e11 | + | 1.54285e11i | −0.198265 | + | 0.135175i | ||||
\(479\) | 7.55897e11 | − | 1.30925e12i | 0.656074 | − | 1.13635i | −0.325550 | − | 0.945525i | \(-0.605549\pi\) |
0.981623 | − | 0.190828i | \(-0.0611173\pi\) | |||||||
\(480\) | −3.76859e11 | − | 6.52740e11i | −0.324036 | − | 0.561248i | ||||
\(481\) | −1.12216e12 | − | 5.40404e11i | −0.955878 | − | 0.460327i | ||||
\(482\) | −9.46288e11 | + | 2.91891e11i | −0.798567 | + | 0.246325i | ||||
\(483\) | 1.63871e10 | − | 2.18671e11i | 0.0137006 | − | 0.182822i | ||||
\(484\) | −1.82259e11 | + | 7.98527e11i | −0.150968 | + | 0.661433i | ||||
\(485\) | 6.79882e11 | + | 1.73231e12i | 0.557951 | + | 1.42164i | ||||
\(486\) | −3.95256e10 | − | 5.27433e11i | −0.0321378 | − | 0.428849i | ||||
\(487\) | −1.00607e12 | − | 1.51641e11i | −0.810493 | − | 0.122162i | −0.269296 | − | 0.963058i | \(-0.586791\pi\) |
−0.541198 | + | 0.840895i | \(0.682029\pi\) | |||||||
\(488\) | 1.09744e12 | − | 1.01827e12i | 0.875972 | − | 0.812783i | ||||
\(489\) | −2.39440e11 | + | 1.15308e11i | −0.189368 | + | 0.0911949i | ||||
\(490\) | −2.42581e11 | − | 1.65389e11i | −0.190097 | − | 0.129606i | ||||
\(491\) | −5.17353e11 | + | 1.31819e12i | −0.401717 | + | 1.02356i | 0.576707 | + | 0.816951i | \(0.304338\pi\) |
−0.978424 | + | 0.206607i | \(0.933758\pi\) | |||||||
\(492\) | −8.08608e11 | − | 2.49423e11i | −0.622150 | − | 0.191908i | ||||
\(493\) | 9.62054e11 | + | 8.92655e11i | 0.733480 | + | 0.680570i | ||||
\(494\) | 1.24149e10 | + | 1.55678e10i | 0.00937934 | + | 0.0117613i | ||||
\(495\) | 3.86787e11 | + | 4.85016e11i | 0.289567 | + | 0.363105i | ||||
\(496\) | 3.37600e11 | + | 3.13247e11i | 0.250458 | + | 0.232391i | ||||
\(497\) | −4.39652e11 | − | 1.35615e11i | −0.323225 | − | 0.0997017i | ||||
\(498\) | −1.83441e11 | + | 4.67400e11i | −0.133648 | + | 0.340531i | ||||
\(499\) | −1.74285e12 | − | 1.18825e12i | −1.25836 | − | 0.857938i | −0.264059 | − | 0.964507i | \(-0.585061\pi\) |
−0.994305 | + | 0.106568i | \(0.966014\pi\) | |||||||
\(500\) | −4.08973e10 | + | 1.96951e10i | −0.0292638 | + | 0.0140927i | ||||
\(501\) | −8.98061e11 | + | 8.33278e11i | −0.636848 | + | 0.590909i | ||||
\(502\) | 2.40768e11 | + | 3.62899e10i | 0.169212 | + | 0.0255047i | ||||
\(503\) | −2.22829e10 | − | 2.97345e11i | −0.0155209 | − | 0.207112i | −0.999573 | − | 0.0292299i | \(-0.990695\pi\) |
0.984052 | − | 0.177882i | \(-0.0569245\pi\) | |||||||
\(504\) | −2.52280e11 | − | 6.42799e11i | −0.174159 | − | 0.443749i | ||||
\(505\) | −2.40329e11 | + | 1.05295e12i | −0.164435 | + | 0.720438i | ||||
\(506\) | −9.75633e9 | + | 1.30189e11i | −0.00661621 | + | 0.0882872i | ||||
\(507\) | −2.63734e11 | + | 8.13511e10i | −0.177268 | + | 0.0546799i | ||||
\(508\) | −9.87131e11 | − | 4.75377e11i | −0.657640 | − | 0.316703i | ||||
\(509\) | 7.99765e11 | + | 1.38523e12i | 0.528119 | + | 0.914730i | 0.999463 | + | 0.0327798i | \(0.0104360\pi\) |
−0.471343 | + | 0.881950i | \(0.656231\pi\) | |||||||
\(510\) | −1.17683e11 | + | 2.03833e11i | −0.0770279 | + | 0.133416i | ||||
\(511\) | 7.90474e10 | − | 5.38936e10i | 0.0512854 | − | 0.0349658i | ||||
\(512\) | 2.98797e11 | + | 1.30911e12i | 0.192159 | + | 0.841904i | ||||
\(513\) | −5.87986e10 | + | 8.86247e9i | −0.0374834 | + | 0.00564971i | ||||
\(514\) | −2.17767e11 | + | 2.73071e11i | −0.137612 | + | 0.172560i | ||||
\(515\) | 2.71923e12 | 1.70339 | ||||||||
\(516\) | 5.22315e11 | + | 3.20260e11i | 0.324346 | + | 0.198874i | ||||
\(517\) | 3.11355e11 | 0.191667 | ||||||||
\(518\) | −4.66977e11 | + | 5.85571e11i | −0.284978 | + | 0.357351i | ||||
\(519\) | 1.84041e11 | − | 2.77398e10i | 0.111343 | − | 0.0167822i | ||||
\(520\) | 3.15975e11 | + | 1.38438e12i | 0.189512 | + | 0.830307i | ||||
\(521\) | −1.45469e12 | + | 9.91789e11i | −0.864968 | + | 0.589725i | −0.912469 | − | 0.409146i | \(-0.865827\pi\) |
0.0475010 | + | 0.998871i | \(0.484874\pi\) | |||||||
\(522\) | 5.13859e11 | − | 8.90031e11i | 0.302919 | − | 0.524672i | ||||
\(523\) | −1.18476e12 | − | 2.05206e12i | −0.692422 | − | 1.19931i | −0.971042 | − | 0.238909i | \(-0.923210\pi\) |
0.278620 | − | 0.960401i | \(-0.410123\pi\) | |||||||
\(524\) | −7.49547e11 | − | 3.60963e11i | −0.434318 | − | 0.209157i | ||||
\(525\) | 6.24061e11 | − | 1.92497e11i | 0.358517 | − | 0.110588i | ||||
\(526\) | −9.80702e10 | + | 1.30866e12i | −0.0558600 | + | 0.745400i | ||||
\(527\) | 1.50239e11 | − | 6.58239e11i | 0.0848466 | − | 0.371737i | ||||
\(528\) | 6.19698e10 | + | 1.57897e11i | 0.0346999 | + | 0.0884138i | ||||
\(529\) | −1.00648e11 | − | 1.34305e12i | −0.0558797 | − | 0.745662i | ||||
\(530\) | −2.69574e11 | − | 4.06317e10i | −0.148401 | − | 0.0223678i | ||||
\(531\) | 1.57289e12 | − | 1.45943e12i | 0.858565 | − | 0.796632i | ||||
\(532\) | −4.91733e10 | + | 2.36806e10i | −0.0266150 | + | 0.0128171i | ||||
\(533\) | 2.04091e12 | + | 1.39147e12i | 1.09534 | + | 0.746793i | ||||
\(534\) | 1.78771e11 | − | 4.55501e11i | 0.0951397 | − | 0.242412i | ||||
\(535\) | 2.43539e12 | + | 7.51219e11i | 1.28522 | + | 0.396437i | ||||
\(536\) | 2.12873e11 | + | 1.97518e11i | 0.111399 | + | 0.103363i | ||||
\(537\) | 9.08099e10 | + | 1.13872e11i | 0.0471247 | + | 0.0590926i | ||||
\(538\) | −1.87265e11 | − | 2.34823e11i | −0.0963690 | − | 0.120843i | ||||
\(539\) | 2.27388e11 | + | 2.10985e11i | 0.116043 | + | 0.107672i | ||||
\(540\) | −1.82576e12 | − | 5.63171e11i | −0.923998 | − | 0.285016i | ||||
\(541\) | −2.99701e11 | + | 7.63625e11i | −0.150418 | + | 0.383259i | −0.986145 | − | 0.165887i | \(-0.946951\pi\) |
0.835727 | + | 0.549145i | \(0.185047\pi\) | |||||||
\(542\) | −1.00409e12 | − | 6.84574e11i | −0.499774 | − | 0.340740i | ||||
\(543\) | 6.47706e11 | − | 3.11919e11i | 0.319727 | − | 0.153972i | ||||
\(544\) | 8.07531e11 | − | 7.49280e11i | 0.395334 | − | 0.366816i | ||||
\(545\) | 3.26754e11 | + | 4.92502e10i | 0.158649 | + | 0.0239124i | ||||
\(546\) | −1.86147e10 | − | 2.48396e11i | −0.00896373 | − | 0.119613i | ||||
\(547\) | −3.88435e11 | − | 9.89716e11i | −0.185513 | − | 0.472681i | 0.807615 | − | 0.589710i | \(-0.200758\pi\) |
−0.993128 | + | 0.117030i | \(0.962663\pi\) | |||||||
\(548\) | 2.16082e11 | − | 9.46717e11i | 0.102354 | − | 0.448443i | ||||
\(549\) | 1.93215e11 | − | 2.57827e12i | 0.0907747 | − | 1.21130i | ||||
\(550\) | −3.71545e11 | + | 1.14606e11i | −0.173133 | + | 0.0534043i | ||||
\(551\) | −1.62425e11 | − | 7.82198e10i | −0.0750708 | − | 0.0361522i | ||||
\(552\) | −1.96196e11 | − | 3.39821e11i | −0.0899424 | − | 0.155785i | ||||
\(553\) | 3.43501e11 | − | 5.94961e11i | 0.156194 | − | 0.270536i | ||||
\(554\) | −9.33462e10 | + | 6.36424e10i | −0.0421020 | + | 0.0287047i | ||||
\(555\) | 4.50013e11 | + | 1.97164e12i | 0.201329 | + | 0.882080i | ||||
\(556\) | −1.22055e11 | + | 1.83968e10i | −0.0541648 | + | 0.00816404i | ||||
\(557\) | −2.03760e11 | + | 2.55508e11i | −0.0896957 | + | 0.112475i | −0.824654 | − | 0.565637i | \(-0.808630\pi\) |
0.734958 | + | 0.678112i | \(0.237202\pi\) | |||||||
\(558\) | −5.28714e11 | −0.230870 | ||||||||
\(559\) | −1.18138e12 | − | 1.34273e12i | −0.511724 | − | 0.581614i | ||||
\(560\) | −1.28454e12 | −0.551954 | ||||||||
\(561\) | 1.55044e11 | − | 1.94419e11i | 0.0660878 | − | 0.0828715i | ||||
\(562\) | 1.87335e12 | − | 2.82363e11i | 0.792148 | − | 0.119397i | ||||
\(563\) | 3.86909e11 | + | 1.69516e12i | 0.162301 | + | 0.711087i | 0.988935 | + | 0.148347i | \(0.0473953\pi\) |
−0.826634 | + | 0.562739i | \(0.809748\pi\) | |||||||
\(564\) | −3.48383e11 | + | 2.37523e11i | −0.144977 | + | 0.0988440i | ||||
\(565\) | 1.75487e10 | − | 3.03952e10i | 0.00724480 | − | 0.0125484i | ||||
\(566\) | 7.05570e11 | + | 1.22208e12i | 0.288979 | + | 0.500526i | ||||
\(567\) | −6.98960e11 | − | 3.36602e11i | −0.284007 | − | 0.136770i | ||||
\(568\) | −7.86723e11 | + | 2.42672e11i | −0.317142 | + | 0.0978255i | ||||
\(569\) | 3.83588e10 | − | 5.11862e11i | 0.0153412 | − | 0.204714i | −0.984266 | − | 0.176692i | \(-0.943460\pi\) |
0.999607 | − | 0.0280217i | \(-0.00892075\pi\) | |||||||
\(570\) | 7.19438e9 | − | 3.15206e10i | 0.00285467 | − | 0.0125071i | ||||
\(571\) | −9.22278e11 | − | 2.34993e12i | −0.363077 | − | 0.925106i | −0.989357 | − | 0.145508i | \(-0.953518\pi\) |
0.626280 | − | 0.779598i | \(-0.284577\pi\) | |||||||
\(572\) | −5.05155e10 | − | 6.74083e11i | −0.0197307 | − | 0.263288i | ||||
\(573\) | 1.16747e11 | + | 1.75968e10i | 0.0452429 | + | 0.00681927i | ||||
\(574\) | 1.08886e12 | − | 1.01032e12i | 0.418667 | − | 0.388467i | ||||
\(575\) | −1.21911e12 | + | 5.87091e11i | −0.465090 | + | 0.223975i | ||||
\(576\) | 1.31082e11 | + | 8.93704e10i | 0.0496184 | + | 0.0338293i | ||||
\(577\) | 8.03672e11 | − | 2.04772e12i | 0.301847 | − | 0.769095i | −0.696808 | − | 0.717258i | \(-0.745397\pi\) |
0.998656 | − | 0.0518372i | \(-0.0165077\pi\) | |||||||
\(578\) | 7.58898e11 | + | 2.34089e11i | 0.282819 | + | 0.0872380i | ||||
\(579\) | −6.79928e10 | − | 6.30881e10i | −0.0251426 | − | 0.0233289i | ||||
\(580\) | −3.61166e12 | − | 4.52888e12i | −1.32520 | − | 1.66175i | ||||
\(581\) | 2.50481e12 | + | 3.14094e12i | 0.911974 | + | 1.14358i | ||||
\(582\) | −4.28215e11 | − | 3.97326e11i | −0.154706 | − | 0.143547i | ||||
\(583\) | 2.75233e11 | + | 8.48982e10i | 0.0986716 | + | 0.0304362i | ||||
\(584\) | 6.25451e10 | − | 1.59362e11i | 0.0222503 | − | 0.0566928i | ||||
\(585\) | 2.02622e12 | + | 1.38145e12i | 0.715295 | + | 0.487680i | ||||
\(586\) | −1.40778e12 | + | 6.77950e11i | −0.493168 | + | 0.237497i | ||||
\(587\) | 3.57038e12 | − | 3.31283e12i | 1.24120 | − | 1.15167i | 0.258595 | − | 0.965986i | \(-0.416741\pi\) |
0.982610 | − | 0.185684i | \(-0.0594499\pi\) | |||||||
\(588\) | −4.15384e11 | − | 6.26091e10i | −0.143302 | − | 0.0215993i | ||||
\(589\) | 6.93084e9 | + | 9.24856e10i | 0.00237283 | + | 0.0316632i | ||||
\(590\) | 9.69349e11 | + | 2.46986e12i | 0.329341 | + | 0.839148i | ||||
\(591\) | −3.90146e11 | + | 1.70934e12i | −0.131548 | + | 0.576349i | ||||
\(592\) | 1.50668e11 | − | 2.01053e12i | 0.0504167 | − | 0.672764i | ||||
\(593\) | −2.63316e12 | + | 8.12223e11i | −0.874443 | + | 0.269730i | −0.699313 | − | 0.714815i | \(-0.746511\pi\) |
−0.175130 | + | 0.984545i | \(0.556035\pi\) | |||||||
\(594\) | −3.99011e11 | − | 1.92154e11i | −0.131506 | − | 0.0633300i | ||||
\(595\) | 9.41591e11 | + | 1.63088e12i | 0.307989 | + | 0.533453i | ||||
\(596\) | −5.16388e10 | + | 8.94410e10i | −0.0167636 | + | 0.0290355i | ||||
\(597\) | −6.95104e11 | + | 4.73914e11i | −0.223957 | + | 0.152691i | ||||
\(598\) | 1.14842e11 | + | 5.03155e11i | 0.0367236 | + | 0.160896i | ||||
\(599\) | 1.70078e12 | − | 2.56352e11i | 0.539794 | − | 0.0813608i | 0.126514 | − | 0.991965i | \(-0.459621\pi\) |
0.413280 | + | 0.910604i | \(0.364383\pi\) | |||||||
\(600\) | 7.28627e11 | − | 9.13670e11i | 0.229522 | − | 0.287812i | ||||
\(601\) | 5.18640e12 | 1.62155 | 0.810776 | − | 0.585357i | \(-0.199045\pi\) | ||||
0.810776 | + | 0.585357i | \(0.199045\pi\) | |||||||
\(602\) | −9.45274e11 | + | 5.12928e11i | −0.293342 | + | 0.159174i | ||||
\(603\) | 5.01518e11 | 0.154475 | ||||||||
\(604\) | 2.56490e12 | − | 3.21628e12i | 0.784159 | − | 0.983304i | ||||
\(605\) | −3.83876e12 | + | 5.78599e11i | −1.16491 | + | 0.175582i | ||||
\(606\) | −7.54393e10 | − | 3.30521e11i | −0.0227233 | − | 0.0995572i | ||||
\(607\) | −1.44394e12 | + | 9.84464e11i | −0.431719 | + | 0.294341i | −0.759615 | − | 0.650373i | \(-0.774613\pi\) |
0.327896 | + | 0.944714i | \(0.393660\pi\) | |||||||
\(608\) | −7.56613e10 | + | 1.31049e11i | −0.0224547 | + | 0.0388927i | ||||
\(609\) | 1.12761e12 | + | 1.95308e12i | 0.332186 | + | 0.575364i | ||||
\(610\) | 2.88053e12 | + | 1.38719e12i | 0.842341 | + | 0.405650i | ||||
\(611\) | 1.17614e12 | − | 3.62790e11i | 0.341407 | − | 0.105310i | ||||
\(612\) | 9.17591e10 | − | 1.22444e12i | 0.0264404 | − | 0.352823i | ||||
\(613\) | 1.12812e12 | − | 4.94261e12i | 0.322688 | − | 1.41379i | −0.510061 | − | 0.860138i | \(-0.670377\pi\) |
0.832749 | − | 0.553650i | \(-0.186766\pi\) | |||||||
\(614\) | −4.93890e11 | − | 1.25841e12i | −0.140240 | − | 0.357327i | ||||
\(615\) | −2.99724e11 | − | 3.99954e12i | −0.0844857 | − | 1.12738i | ||||
\(616\) | −8.92083e11 | − | 1.34460e11i | −0.249627 | − | 0.0376253i | ||||
\(617\) | −3.99381e12 | + | 3.70571e12i | −1.10944 | + | 1.02941i | −0.110070 | + | 0.993924i | \(0.535108\pi\) |
−0.999370 | + | 0.0354865i | \(0.988702\pi\) | |||||||
\(618\) | −7.69037e11 | + | 3.70349e11i | −0.212080 | + | 0.102132i | ||||
\(619\) | 5.70665e12 | + | 3.89073e12i | 1.56233 | + | 1.06518i | 0.964680 | + | 0.263423i | \(0.0848516\pi\) |
0.597651 | + | 0.801756i | \(0.296101\pi\) | |||||||
\(620\) | −1.08874e12 | + | 2.77405e12i | −0.295910 | + | 0.753967i | ||||
\(621\) | −1.47273e12 | − | 4.54278e11i | −0.397386 | − | 0.122577i | ||||
\(622\) | −8.92944e10 | − | 8.28531e10i | −0.0239203 | − | 0.0221948i | ||||
\(623\) | −2.44105e12 | − | 3.06098e12i | −0.649203 | − | 0.814075i | ||||
\(624\) | 4.18071e11 | + | 5.24244e11i | 0.110387 | + | 0.138421i | ||||
\(625\) | 2.71643e12 | + | 2.52048e12i | 0.712096 | + | 0.660729i | ||||
\(626\) | −2.25424e12 | − | 6.95342e11i | −0.586700 | − | 0.180973i | ||||
\(627\) | −1.24796e10 | + | 3.17976e10i | −0.00322477 | + | 0.00821657i | ||||
\(628\) | −3.63323e10 | − | 2.47709e10i | −0.00932125 | − | 0.00635512i | ||||
\(629\) | −2.66305e12 | + | 1.28246e12i | −0.678346 | + | 0.326674i | ||||
\(630\) | 1.08103e12 | − | 1.00305e12i | 0.273404 | − | 0.253681i | ||||
\(631\) | 3.19323e12 | + | 4.81301e11i | 0.801858 | + | 0.120861i | 0.537171 | − | 0.843474i | \(-0.319493\pi\) |
0.264687 | + | 0.964334i | \(0.414731\pi\) | |||||||
\(632\) | −9.18684e10 | − | 1.22590e12i | −0.0229055 | − | 0.305652i | ||||
\(633\) | −8.75770e10 | − | 2.23143e11i | −0.0216807 | − | 0.0552415i | ||||
\(634\) | −4.43764e11 | + | 1.94426e12i | −0.109081 | + | 0.477917i | ||||
\(635\) | 3.88072e11 | − | 5.17846e12i | 0.0947175 | − | 1.26392i | ||||
\(636\) | −3.72732e11 | + | 1.14973e11i | −0.0903315 | + | 0.0278636i | ||||
\(637\) | 1.10479e12 | + | 5.32040e11i | 0.265860 | + | 0.128031i | ||||
\(638\) | −6.71342e11 | − | 1.16280e12i | −0.160417 | − | 0.277851i | ||||
\(639\) | −7.10932e11 | + | 1.23137e12i | −0.168684 | + | 0.292169i | ||||
\(640\) | −5.06084e12 | + | 3.45042e12i | −1.19238 | + | 0.812948i | ||||
\(641\) | 1.11361e12 | + | 4.87903e12i | 0.260538 | + | 1.14149i | 0.920670 | + | 0.390342i | \(0.127643\pi\) |
−0.660132 | + | 0.751149i | \(0.729500\pi\) | |||||||
\(642\) | −7.91078e11 | + | 1.19236e11i | −0.183786 | + | 0.0277012i | ||||
\(643\) | −1.78523e12 | + | 2.23861e12i | −0.411856 | + | 0.516452i | −0.943885 | − | 0.330275i | \(-0.892859\pi\) |
0.532028 | + | 0.846727i | \(0.321430\pi\) | |||||||
\(644\) | −1.41460e12 | −0.324077 | ||||||||
\(645\) | −5.08561e11 | + | 2.85905e12i | −0.115698 | + | 0.650435i | ||||
\(646\) | 4.72539e10 | 0.0106756 | ||||||||
\(647\) | −4.81179e12 | + | 6.03380e12i | −1.07954 | + | 1.35370i | −0.148443 | + | 0.988921i | \(0.547426\pi\) |
−0.931095 | + | 0.364777i | \(0.881145\pi\) | |||||||
\(648\) | −1.37271e12 | + | 2.06902e11i | −0.305837 | + | 0.0460975i | ||||
\(649\) | −6.23784e11 | − | 2.73298e12i | −0.138017 | − | 0.604692i | ||||
\(650\) | −1.26996e12 | + | 8.65846e11i | −0.279049 | + | 0.190253i | ||||
\(651\) | 5.80105e11 | − | 1.00477e12i | 0.126588 | − | 0.219256i | ||||
\(652\) | 8.57206e11 | + | 1.48472e12i | 0.185768 | + | 0.321760i | ||||
\(653\) | −3.61013e12 | − | 1.73854e12i | −0.776986 | − | 0.374177i | 0.00298270 | − | 0.999996i | \(-0.499051\pi\) |
−0.779968 | + | 0.625819i | \(0.784765\pi\) | |||||||
\(654\) | −9.91184e10 | + | 3.05740e10i | −0.0211863 | + | 0.00653510i | ||||
\(655\) | 2.94670e11 | − | 3.93210e12i | 0.0625533 | − | 0.834716i | ||||
\(656\) | −8.89752e11 | + | 3.89826e12i | −0.187587 | + | 0.821870i | ||||
\(657\) | −1.08017e11 | − | 2.75224e11i | −0.0226177 | − | 0.0576290i | ||||
\(658\) | −5.53108e10 | − | 7.38071e11i | −0.0115025 | − | 0.153491i | ||||
\(659\) | −4.27775e12 | − | 6.44767e11i | −0.883550 | − | 0.133174i | −0.308434 | − | 0.951246i | \(-0.599805\pi\) |
−0.575116 | + | 0.818072i | \(0.695043\pi\) | |||||||
\(660\) | −8.04586e11 | + | 7.46547e11i | −0.165054 | + | 0.153147i | ||||
\(661\) | −2.67895e11 | + | 1.29011e11i | −0.0545830 | + | 0.0262858i | −0.460976 | − | 0.887413i | \(-0.652501\pi\) |
0.406393 | + | 0.913698i | \(0.366786\pi\) | |||||||
\(662\) | −2.87917e12 | − | 1.96299e12i | −0.582649 | − | 0.397243i | ||||
\(663\) | 3.59138e11 | − | 9.15070e11i | 0.0721857 | − | 0.183926i | ||||
\(664\) | 6.86946e12 | + | 2.11895e12i | 1.37141 | + | 0.423023i | ||||
\(665\) | −1.89629e11 | − | 1.75950e11i | −0.0376018 | − | 0.0348893i | ||||
\(666\) | 1.44314e12 | + | 1.80964e12i | 0.284233 | + | 0.356417i | ||||
\(667\) | −2.91332e12 | − | 3.65319e12i | −0.569931 | − | 0.714670i | ||||
\(668\) | 5.79340e12 | + | 5.37549e12i | 1.12574 | + | 1.04454i | ||||
\(669\) | 1.67935e12 | + | 5.18010e11i | 0.324133 | + | 0.0999817i | ||||
\(670\) | −2.26570e11 | + | 5.77292e11i | −0.0434377 | + | 0.110677i | ||||
\(671\) | −2.79093e12 | − | 1.90283e12i | −0.531494 | − | 0.362366i | ||||
\(672\) | 1.70553e12 | − | 8.21340e11i | 0.322625 | − | 0.155368i | ||||
\(673\) | −5.47858e12 | + | 5.08338e12i | −1.02944 | + | 0.955179i | −0.999016 | − | 0.0443585i | \(-0.985876\pi\) |
−0.0304221 | + | 0.999537i | \(0.509685\pi\) | |||||||
\(674\) | 3.22807e12 | + | 4.86553e11i | 0.602523 | + | 0.0908157i | ||||
\(675\) | −3.43014e11 | − | 4.57721e12i | −0.0635983 | − | 0.848660i | ||||
\(676\) | 6.50472e11 | + | 1.65738e12i | 0.119803 | + | 0.305254i | ||||
\(677\) | −3.08331e10 | + | 1.35088e11i | −0.00564115 | + | 0.0247155i | −0.977670 | − | 0.210145i | \(-0.932606\pi\) |
0.972029 | + | 0.234861i | \(0.0754634\pi\) | |||||||
\(678\) | −8.23307e8 | + | 1.09863e10i | −0.000149633 | + | 0.00199672i | ||||
\(679\) | −4.46621e12 | + | 1.37764e12i | −0.806354 | + | 0.248727i | ||||
\(680\) | 3.03609e12 | + | 1.46211e12i | 0.544534 | + | 0.262234i | ||||
\(681\) | 2.48485e11 | + | 4.30388e11i | 0.0442728 | + | 0.0766828i | ||||
\(682\) | −3.45375e11 | + | 5.98206e11i | −0.0611309 | + | 0.105882i | ||||
\(683\) | −6.39969e12 | + | 4.36323e12i | −1.12529 | + | 0.767212i | −0.975170 | − | 0.221456i | \(-0.928919\pi\) |
−0.150122 | + | 0.988667i | \(0.547967\pi\) | |||||||
\(684\) | 3.75322e10 | + | 1.64439e11i | 0.00655618 | + | 0.0287245i | ||||
\(685\) | 4.55115e12 | − | 6.85975e11i | 0.789793 | − | 0.119042i | ||||
\(686\) | 1.66674e12 | − | 2.09002e12i | 0.287348 | − | 0.360323i | ||||
\(687\) | 8.79355e11 | 0.150612 | ||||||||
\(688\) | 1.32463e12 | − | 2.57425e12i | 0.225397 | − | 0.438029i | ||||
\(689\) | 1.13861e12 | 0.192481 | ||||||||
\(690\) | 5.22477e11 | − | 6.55166e11i | 0.0877499 | − | 0.110035i | ||||
\(691\) | 9.85898e12 | − | 1.48600e12i | 1.64506 | − | 0.247952i | 0.739802 | − | 0.672824i | \(-0.234919\pi\) |
0.905253 | + | 0.424872i | \(0.139681\pi\) | |||||||
\(692\) | −2.67173e11 | − | 1.17056e12i | −0.0442910 | − | 0.194051i | ||||
\(693\) | −1.28733e12 | + | 8.77685e11i | −0.212026 | + | 0.144557i | ||||
\(694\) | −1.41938e11 | + | 2.45845e11i | −0.0232264 | + | 0.0402294i | ||||
\(695\) | −2.92519e11 | − | 5.06657e11i | −0.0475578 | − | 0.0823725i | ||||
\(696\) | 3.63590e12 | + | 1.75096e12i | 0.587315 | + | 0.282836i | ||||
\(697\) | 5.60151e12 | − | 1.72784e12i | 0.898995 | − | 0.277303i | ||||
\(698\) | 1.28634e11 | − | 1.71651e12i | 0.0205120 | − | 0.273713i | ||||
\(699\) | 8.50829e11 | − | 3.72773e12i | 0.134802 | − | 0.590604i | ||||
\(700\) | −1.53918e12 | − | 3.92177e12i | −0.242297 | − | 0.617363i | ||||
\(701\) | 6.30038e11 | + | 8.40728e12i | 0.0985453 | + | 1.31500i | 0.799014 | + | 0.601313i | \(0.205355\pi\) |
−0.700469 | + | 0.713683i | \(0.747026\pi\) | |||||||
\(702\) | −1.73115e12 | − | 2.60930e11i | −0.269041 | − | 0.0405514i | ||||
\(703\) | 2.97634e11 | − | 2.76164e11i | 0.0459604 | − | 0.0426450i | ||||
\(704\) | 1.86744e11 | − | 8.99314e10i | 0.0286530 | − | 0.0137986i | ||||
\(705\) | −1.65123e12 | − | 1.12579e12i | −0.251743 | − | 0.171635i | ||||
\(706\) | −5.73114e11 | + | 1.46027e12i | −0.0868200 | + | 0.221214i | ||||
\(707\) | −2.59202e12 | − | 7.99534e11i | −0.390168 | − | 0.120351i | ||||
\(708\) | 2.78287e12 | + | 2.58213e12i | 0.416240 | + | 0.386214i | ||||
\(709\) | −6.48276e12 | − | 8.12913e12i | −0.963501 | − | 1.20819i | −0.978065 | − | 0.208298i | \(-0.933208\pi\) |
0.0145643 | − | 0.999894i | \(-0.495364\pi\) | |||||||
\(710\) | −1.09624e12 | − | 1.37464e12i | −0.161898 | − | 0.203014i | ||||
\(711\) | −1.55634e12 | − | 1.44408e12i | −0.228398 | − | 0.211922i | ||||
\(712\) | −6.69459e12 | − | 2.06501e12i | −0.976257 | − | 0.301135i | ||||
\(713\) | −8.78221e11 | + | 2.23767e12i | −0.127263 | + | 0.324260i | ||||
\(714\) | −4.88416e11 | − | 3.32996e11i | −0.0703311 | − | 0.0479510i | ||||
\(715\) | 2.88662e12 | − | 1.39013e12i | 0.413060 | − | 0.198919i | ||||
\(716\) | 6.88758e11 | − | 6.39074e11i | 0.0979396 | − | 0.0908746i | ||||
\(717\) | −1.83661e12 | − | 2.76825e11i | −0.259526 | − | 0.0391173i | ||||
\(718\) | −5.19450e10 | − | 6.93157e11i | −0.00729430 | − | 0.0973356i | ||||
\(719\) | 1.01551e12 | + | 2.58748e12i | 0.141712 | + | 0.361075i | 0.984055 | − | 0.177867i | \(-0.0569195\pi\) |
−0.842343 | + | 0.538942i | \(0.818824\pi\) | |||||||
\(720\) | −8.83350e11 | + | 3.87021e12i | −0.122500 | + | 0.536708i | ||||
\(721\) | −5.10366e11 | + | 6.81036e12i | −0.0703352 | + | 0.938558i | ||||
\(722\) | 2.95329e12 | − | 9.10970e11i | 0.404472 | − | 0.124763i | ||||
\(723\) | −6.05059e12 | − | 2.91381e12i | −0.823522 | − | 0.396587i | ||||
\(724\) | −2.31882e12 | − | 4.01631e12i | −0.313648 | − | 0.543255i | ||||
\(725\) | 6.95801e12 | − | 1.20516e13i | 0.935328 | − | 1.62004i | ||||
\(726\) | 1.00685e12 | − | 6.86461e11i | 0.134509 | − | 0.0917067i | ||||
\(727\) | −5.15172e11 | − | 2.25712e12i | −0.0683986 | − | 0.299674i | 0.929146 | − | 0.369714i | \(-0.120544\pi\) |
−0.997544 | + | 0.0700402i | \(0.977687\pi\) | |||||||
\(728\) | −3.52650e12 | + | 5.31534e11i | −0.465321 | + | 0.0701358i | ||||
\(729\) | 3.31580e11 | − | 4.15788e11i | 0.0434825 | − | 0.0545253i | ||||
\(730\) | 3.65606e11 | 0.0476497 | ||||||||
\(731\) | −4.23930e12 | + | 2.05186e11i | −0.549118 | + | 0.0265778i | ||||
\(732\) | 4.57446e12 | 0.588897 | ||||||||
\(733\) | −4.26075e12 | + | 5.34282e12i | −0.545153 | + | 0.683601i | −0.975736 | − | 0.218951i | \(-0.929737\pi\) |
0.430583 | + | 0.902551i | \(0.358308\pi\) | |||||||
\(734\) | −1.35876e12 | + | 2.04800e11i | −0.172786 | + | 0.0260434i | ||||
\(735\) | −4.43047e11 | − | 1.94112e12i | −0.0559960 | − | 0.245335i | ||||
\(736\) | −3.24059e12 | + | 2.20940e12i | −0.407075 | + | 0.277539i | ||||
\(737\) | 3.27609e11 | − | 5.67436e11i | 0.0409027 | − | 0.0708456i | ||||
\(738\) | −2.29520e12 | − | 3.97541e12i | −0.284818 | − | 0.493319i | ||||
\(739\) | −1.89722e12 | − | 9.13651e11i | −0.234000 | − | 0.112689i | 0.313210 | − | 0.949684i | \(-0.398596\pi\) |
−0.547210 | + | 0.836995i | \(0.684310\pi\) | |||||||
\(740\) | 1.24665e13 | − | 3.84542e12i | 1.52828 | − | 0.471412i | ||||
\(741\) | −1.00911e10 | + | 1.34656e11i | −0.00122958 | + | 0.0164076i | ||||
\(742\) | 1.52359e11 | − | 6.67527e11i | 0.0184523 | − | 0.0808446i | ||||
\(743\) | 8.15098e11 | + | 2.07683e12i | 0.0981205 | + | 0.250007i | 0.971503 | − | 0.237028i | \(-0.0761735\pi\) |
−0.873382 | + | 0.487036i | \(0.838078\pi\) | |||||||
\(744\) | −1.55148e11 | − | 2.07030e12i | −0.0185638 | − | 0.247717i | ||||
\(745\) | −4.84038e11 | − | 7.29570e10i | −0.0575674 | − | 0.00867688i | ||||
\(746\) | 2.73751e12 | − | 2.54004e12i | 0.323616 | − | 0.300272i | ||||
\(747\) | 1.11858e13 | − | 5.38682e12i | 1.31440 | − | 0.632979i | ||||
\(748\) | −1.32544e12 | − | 9.03667e11i | −0.154811 | − | 0.105548i | ||||
\(749\) | −2.33854e12 | + | 5.95849e12i | −0.271504 | + | 0.691780i | ||||
\(750\) | 6.45345e10 | + | 1.99063e10i | 0.00744760 | + | 0.00229728i | ||||
\(751\) | 8.62335e12 | + | 8.00130e12i | 0.989228 | + | 0.917869i | 0.996624 | − | 0.0821034i | \(-0.0261638\pi\) |
−0.00739600 | + | 0.999973i | \(0.502354\pi\) | |||||||
\(752\) | 1.24224e12 | + | 1.55771e12i | 0.141652 | + | 0.177626i | ||||
\(753\) | 1.02952e12 | + | 1.29098e12i | 0.116696 | + | 0.146332i | ||||
\(754\) | −3.89087e12 | − | 3.61020e12i | −0.438405 | − | 0.406781i | ||||
\(755\) | 1.86319e13 | + | 5.74717e12i | 2.08687 | + | 0.643713i | ||||
\(756\) | 1.75315e12 | − | 4.46694e12i | 0.195196 | − | 0.497350i | ||||
\(757\) | −4.22076e12 | − | 2.87767e12i | −0.467153 | − | 0.318500i | 0.306765 | − | 0.951785i | \(-0.400753\pi\) |
−0.773918 | + | 0.633286i | \(0.781706\pi\) | |||||||
\(758\) | 6.10122e12 | − | 2.93819e12i | 0.671283 | − | 0.323273i | ||||
\(759\) | −6.49014e11 | + | 6.02197e11i | −0.0709849 | + | 0.0658644i | ||||
\(760\) | −4.57727e11 | − | 6.89912e10i | −0.0497674 | − | 0.00750123i | ||||
\(761\) | 1.50781e11 | + | 2.01203e12i | 0.0162973 | + | 0.217472i | 0.999406 | + | 0.0344516i | \(0.0109685\pi\) |
−0.983109 | + | 0.183021i | \(0.941412\pi\) | |||||||
\(762\) | 5.95534e11 | + | 1.51740e12i | 0.0639896 | + | 0.163043i | ||||
\(763\) | −1.84676e11 | + | 8.09117e11i | −0.0197265 | + | 0.0864273i | ||||
\(764\) | 5.69177e10 | − | 7.59514e11i | 0.00604404 | − | 0.0806521i | ||||
\(765\) | 5.56120e12 | − | 1.71540e12i | 0.587073 | − | 0.181088i | ||||
\(766\) | 6.35820e12 | + | 3.06195e12i | 0.667274 | + | 0.321342i | ||||
\(767\) | −5.54079e12 | − | 9.59693e12i | −0.578086 | − | 1.00127i | ||||
\(768\) | 7.90207e11 | − | 1.36868e12i | 0.0819625 | − | 0.141963i | ||||
\(769\) | 1.09608e13 | − | 7.47293e12i | 1.13025 | − | 0.770589i | 0.154175 | − | 0.988043i | \(-0.450728\pi\) |
0.976070 | + | 0.217455i | \(0.0697755\pi\) | |||||||
\(770\) | −4.28718e11 | − | 1.87834e12i | −0.0439505 | − | 0.192560i | ||||
\(771\) | −2.34214e12 | + | 3.53020e11i | −0.238708 | + | 0.0359795i | ||||
\(772\) | −3.73066e11 | + | 4.67810e11i | −0.0378014 | + | 0.0474015i | ||||
\(773\) | 1.25632e12 | 0.126559 | 0.0632796 | − | 0.997996i | \(-0.479844\pi\) | ||||
0.0632796 | + | 0.997996i | \(0.479844\pi\) | |||||||
\(774\) | 8.95361e11 | + | 3.20075e12i | 0.0896734 | + | 0.320566i | ||||
\(775\) | −7.15915e12 | −0.712859 | ||||||||
\(776\) | −5.21457e12 | + | 6.53886e12i | −0.516227 | + | 0.647328i | ||||
\(777\) | −5.02246e12 | + | 7.57014e11i | −0.494336 | + | 0.0745091i | ||||
\(778\) | 3.51441e11 | + | 1.53977e12i | 0.0343910 | + | 0.150677i | ||||
\(779\) | −6.65312e11 | + | 4.53602e11i | −0.0647302 | + | 0.0441323i | ||||
\(780\) | −2.16943e12 | + | 3.75757e12i | −0.209856 | + | 0.363480i | ||||
\(781\) | 9.28811e11 | + | 1.60875e12i | 0.0893300 | + | 0.154724i | ||||
\(782\) | 1.10348e12 | + | 5.31406e11i | 0.105519 | + | 0.0508155i | ||||
\(783\) | 1.51463e13 | − | 4.67202e12i | 1.44005 | − | 0.444198i | ||||
\(784\) | −1.48336e11 | + | 1.97941e12i | −0.0140225 | + | 0.187117i | ||||
\(785\) | 4.63777e10 | − | 2.03194e11i | 0.00435909 | − | 0.0190984i | ||||
\(786\) | 4.52200e11 | + | 1.15219e12i | 0.0422600 | + | 0.107677i | ||||
\(787\) | −2.12645e11 | − | 2.83755e12i | −0.0197592 | − | 0.263668i | −0.998331 | − | 0.0577599i | \(-0.981604\pi\) |
0.978571 | − | 0.205908i | \(-0.0660148\pi\) | |||||||
\(788\) | 1.11842e13 | + | 1.68575e12i | 1.03333 | + | 0.155749i | ||||
\(789\) | −6.52386e12 | + | 6.05326e12i | −0.599319 | + | 0.556087i | ||||
\(790\) | 2.36537e12 | − | 1.13910e12i | 0.216061 | − | 0.104050i | ||||
\(791\) | 7.28317e10 | + | 4.96558e10i | 0.00661495 | + | 0.00450999i | ||||
\(792\) | −1.01858e12 | + | 2.59530e12i | −0.0919881 | + | 0.234382i | ||||
\(793\) | −1.27599e13 | − | 3.93590e12i | −1.14582 | − | 0.353439i | ||||
\(794\) | −1.38146e12 | − | 1.28181e12i | −0.123352 | − | 0.114454i | ||||
\(795\) | −1.15269e12 | − | 1.44543e12i | −0.102344 | − | 0.128335i | ||||
\(796\) | 3.38378e12 | + | 4.24312e12i | 0.298740 | + | 0.374608i | ||||
\(797\) | −8.29853e12 | − | 7.69991e12i | −0.728515 | − | 0.675964i | 0.225999 | − | 0.974127i | \(-0.427435\pi\) |
−0.954515 | + | 0.298164i | \(0.903626\pi\) | |||||||
\(798\) | 7.75937e10 | + | 2.39345e10i | 0.00677351 | + | 0.00208935i | ||||
\(799\) | 1.06713e12 | − | 2.71899e12i | 0.0926308 | − | 0.236019i | ||||
\(800\) | −9.65118e12 | − | 6.58007e12i | −0.833059 | − | 0.567970i | ||||
\(801\) | −1.09011e13 | + | 5.24969e12i | −0.935672 | + | 0.450596i | ||||
\(802\) | −8.70415e11 | + | 8.07627e11i | −0.0742920 | + | 0.0689329i | ||||
\(803\) | −3.81958e11 | − | 5.75710e10i | −0.0324187 | − | 0.00488634i | ||||
\(804\) | 6.63097e10 | + | 8.84841e11i | 0.00559661 | + | 0.0746815i | ||||
\(805\) | −2.44954e12 | − | 6.24133e12i | −0.205591 | − | 0.523836i | ||||
\(806\) | −6.07616e11 | + | 2.66214e12i | −0.0507133 | + | 0.222189i | ||||
\(807\) | 1.52213e11 | − | 2.03114e12i | 0.0126334 | − | 0.168581i | ||||
\(808\) | −4.63823e12 | + | 1.43070e12i | −0.382826 | + | 0.118086i | ||||
\(809\) | 3.33023e12 | + | 1.60376e12i | 0.273342 | + | 0.131635i | 0.565534 | − | 0.824725i | \(-0.308670\pi\) |
−0.292192 | + | 0.956360i | \(0.594385\pi\) | |||||||
\(810\) | −1.48233e12 | − | 2.56746e12i | −0.120993 | − | 0.209566i | ||||
\(811\) | −9.93460e12 | + | 1.72072e13i | −0.806411 | + | 1.39674i | 0.108924 | + | 0.994050i | \(0.465260\pi\) |
−0.915334 | + | 0.402694i | \(0.868074\pi\) | |||||||
\(812\) | 1.20205e13 | − | 8.19545e12i | 0.970334 | − | 0.661562i | ||||
\(813\) | −1.83385e12 | − | 8.03463e12i | −0.147217 | − | 0.644998i | ||||
\(814\) | 2.99020e12 | − | 4.50700e11i | 0.238721 | − | 0.0359814i | ||||
\(815\) | −5.06636e12 | + | 6.35301e12i | −0.402241 | + | 0.504394i | ||||
\(816\) | 1.59127e12 | 0.125643 | ||||||||
\(817\) | 5.48155e11 | − | 1.98580e11i | 0.0430432 | − | 0.0155932i | ||||
\(818\) | 5.16663e12 | 0.403476 | ||||||||
\(819\) | −3.84017e12 | + | 4.81543e12i | −0.298245 | + | 0.373988i | ||||
\(820\) | −2.55844e13 | + | 3.85623e12i | −1.97612 | + | 0.297852i | ||||
\(821\) | −1.21196e12 | − | 5.30994e12i | −0.0930988 | − | 0.407893i | 0.906808 | − | 0.421544i | \(-0.138512\pi\) |
−0.999907 | + | 0.0136513i | \(0.995655\pi\) | |||||||
\(822\) | −1.19370e12 | + | 8.13853e11i | −0.0911955 | + | 0.0621760i | ||||
\(823\) | −8.90245e12 | + | 1.54195e13i | −0.676410 | + | 1.17158i | 0.299644 | + | 0.954051i | \(0.403132\pi\) |
−0.976055 | + | 0.217526i | \(0.930201\pi\) | |||||||
\(824\) | 6.11039e12 | + | 1.05835e13i | 0.461739 | + | 0.799755i | ||||
\(825\) | −2.37566e12 | − | 1.14406e12i | −0.178543 | − | 0.0859817i | ||||
\(826\) | −6.36775e12 | + | 1.96419e12i | −0.475966 | + | 0.146816i | ||||
\(827\) | 1.72478e12 | − | 2.30156e13i | 0.128221 | − | 1.71099i | −0.448282 | − | 0.893892i | \(-0.647964\pi\) |
0.576503 | − | 0.817095i | \(-0.304417\pi\) | |||||||
\(828\) | −9.72790e11 | + | 4.26207e12i | −0.0719254 | + | 0.315126i | ||||
\(829\) | −7.19628e12 | − | 1.83358e13i | −0.529192 | − | 1.34836i | −0.906475 | − | 0.422260i | \(-0.861237\pi\) |
0.377283 | − | 0.926098i | \(-0.376858\pi\) | |||||||
\(830\) | 1.14729e12 | + | 1.53095e13i | 0.0839114 | + | 1.11972i | ||||
\(831\) | −7.57603e11 | − | 1.14190e11i | −0.0551108 | − | 0.00830662i | ||||
\(832\) | 6.00635e11 | − | 5.57308e11i | 0.0434566 | − | 0.0403219i | ||||
\(833\) | 2.62183e12 | − | 1.26261e12i | 0.188670 | − | 0.0908585i | ||||
\(834\) | 1.51733e11 | + | 1.03450e11i | 0.0108601 | + | 0.00740429i | ||||
\(835\) | −1.36851e13 | + | 3.48691e13i | −0.974226 | + | 2.48229i | ||||
\(836\) | 2.10570e11 | + | 6.49521e10i | 0.0149097 | + | 0.00459902i | ||||
\(837\) | −5.97757e12 | − | 5.54637e12i | −0.420979 | − | 0.390611i | ||||
\(838\) | 3.25038e12 | + | 4.07585e12i | 0.227686 | + | 0.285509i | ||||
\(839\) | −1.57894e13 | − | 1.97993e13i | −1.10011 | − | 1.37950i | −0.918170 | − | 0.396187i | \(-0.870333\pi\) |
−0.181942 | − | 0.983309i | \(-0.558238\pi\) | |||||||
\(840\) | 4.24488e12 | + | 3.93867e12i | 0.294177 | + | 0.272956i | ||||
\(841\) | 3.20577e13 | + | 9.88850e12i | 2.20979 | + | 0.681629i | ||||
\(842\) | −1.03640e12 | + | 2.64070e12i | −0.0710594 | + | 0.181057i | ||||
\(843\) | 1.06153e13 | + | 7.23738e12i | 0.723948 | + | 0.493580i | ||||
\(844\) | −1.39325e12 | + | 6.70954e11i | −0.0945123 | + | 0.0455147i | ||||
\(845\) | −6.18609e12 | + | 5.73985e12i | −0.417408 | + | 0.387298i | ||||
\(846\) | −2.26177e12 | − | 3.40908e11i | −0.151804 | − | 0.0228807i | ||||
\(847\) | −7.28626e11 | − | 9.72283e12i | −0.0486440 | − | 0.649109i | ||||
\(848\) | 6.73371e11 | + | 1.71572e12i | 0.0447171 | + | 0.113937i | ||||
\(849\) | −2.12946e12 | + | 9.32977e12i | −0.140665 | + | 0.616291i | ||||
\(850\) | −2.72587e11 | + | 3.63742e12i | −0.0179110 | + | 0.239006i | ||||
\(851\) | 1.00561e13 | − | 3.10188e12i | 0.657271 | − | 0.202741i | ||||
\(852\) | −2.26654e12 | − | 1.09151e12i | −0.147362 | − | 0.0709656i | ||||
\(853\) | 1.87798e12 | + | 3.25276e12i | 0.121456 | + | 0.210369i | 0.920342 | − | 0.391114i | \(-0.127910\pi\) |
−0.798886 | + | 0.601483i | \(0.794577\pi\) | |||||||
\(854\) | −4.01488e12 | + | 6.95398e12i | −0.258293 | + | 0.447377i | ||||
\(855\) | −6.60525e11 | + | 4.50339e11i | −0.0422710 | + | 0.0288198i | ||||
\(856\) | 2.54876e12 | + | 1.11669e13i | 0.162255 | + | 0.710885i | ||||
\(857\) | −1.77367e13 | + | 2.67338e12i | −1.12320 | + | 0.169296i | −0.684274 | − | 0.729225i | \(-0.739881\pi\) |
−0.438931 | + | 0.898521i | \(0.644643\pi\) | |||||||
\(858\) | −6.27049e11 | + | 7.86295e11i | −0.0395011 | + | 0.0495328i | ||||
\(859\) | −2.26893e12 | −0.142185 | −0.0710923 | − | 0.997470i | \(-0.522648\pi\) | ||||
−0.0710923 | + | 0.997470i | \(0.522648\pi\) | |||||||
\(860\) | 1.86374e13 | + | 1.89326e12i | 1.16183 | + | 0.118023i | ||||
\(861\) | 1.00732e13 | 0.624672 | ||||||||
\(862\) | 6.97193e12 | − | 8.74252e12i | 0.430101 | − | 0.539329i | ||||
\(863\) | 7.64627e12 | − | 1.15249e12i | 0.469246 | − | 0.0707275i | 0.0898371 | − | 0.995956i | \(-0.471365\pi\) |
0.379409 | + | 0.925229i | \(0.376127\pi\) | |||||||
\(864\) | −2.96056e12 | − | 1.29711e13i | −0.180743 | − | 0.791888i | ||||
\(865\) | 4.70196e12 | − | 3.20574e12i | 0.285566 | − | 0.194695i | ||||
\(866\) | 2.13934e12 | − | 3.70545e12i | 0.129256 | − | 0.223877i | ||||
\(867\) | 2.69289e12 | + | 4.66421e12i | 0.161857 | + | 0.280345i | ||||
\(868\) | −6.74333e12 | − | 3.24741e12i | −0.403214 | − | 0.194178i | ||||
\(869\) | −2.65054e12 | + | 8.17582e11i | −0.157668 | + | 0.0486343i | ||||
\(870\) | −6.44045e11 | + | 8.59418e12i | −0.0381136 | + | 0.508590i | ||||
\(871\) | 5.76362e11 | − | 2.52521e12i | 0.0339323 | − | 0.148667i | ||||
\(872\) | 5.42563e11 | + | 1.38243e12i | 0.0317780 | + | 0.0809690i | ||||
\(873\) | 1.07940e12 | + | 1.44037e13i | 0.0628956 | + | 0.839283i | ||||
\(874\) | −1.66362e11 | − | 2.50750e10i | −0.00964390 | − | 0.00145358i | ||||
\(875\) | 3.96106e11 | − | 3.67533e11i | 0.0228442 | − | 0.0211963i | ||||
\(876\) | 4.71302e11 | − | 2.26967e11i | 0.0270415 | − | 0.0130225i | ||||
\(877\) | −2.31653e13 | − | 1.57938e13i | −1.32233 | − | 0.901549i | −0.323330 | − | 0.946286i | \(-0.604802\pi\) |
−0.998999 | + | 0.0447377i | \(0.985755\pi\) | |||||||
\(878\) | 4.89162e11 | − | 1.24637e12i | 0.0277797 | − | 0.0707815i | ||||
\(879\) | −1.01255e13 | − | 3.12330e12i | −0.572092 | − | 0.176467i | ||||
\(880\) | 3.80186e12 | + | 3.52761e12i | 0.213710 | + | 0.198293i | ||||
\(881\) | −5.97807e12 | − | 7.49626e12i | −0.334325 | − | 0.419231i | 0.586045 | − | 0.810278i | \(-0.300684\pi\) |
−0.920370 | + | 0.391048i | \(0.872113\pi\) | |||||||
\(882\) | −1.42080e12 | − | 1.78163e12i | −0.0790542 | − | 0.0991309i | ||||
\(883\) | 2.38140e13 | + | 2.20962e13i | 1.31828 | + | 1.22319i | 0.956778 | + | 0.290819i | \(0.0939278\pi\) |
0.361506 | + | 0.932370i | \(0.382263\pi\) | |||||||
\(884\) | −6.05976e12 | − | 1.86919e12i | −0.333749 | − | 0.102948i | ||||
\(885\) | −6.57368e12 | + | 1.67495e13i | −0.360217 | + | 0.917817i | ||||
\(886\) | 7.35431e12 | + | 5.01408e12i | 0.400950 | + | 0.273363i | ||||
\(887\) | 2.39409e12 | − | 1.15293e12i | 0.129863 | − | 0.0625385i | −0.367824 | − | 0.929895i | \(-0.619897\pi\) |
0.497687 | + | 0.867357i | \(0.334183\pi\) | |||||||
\(888\) | −6.66258e12 | + | 6.18197e12i | −0.359570 | + | 0.333633i | ||||
\(889\) | 1.28967e13 | + | 1.94387e12i | 0.692502 | + | 0.104378i | ||||
\(890\) | −1.11808e12 | − | 1.49198e13i | −0.0597336 | − | 0.797090i | ||||
\(891\) | 1.14434e12 | + | 2.91572e12i | 0.0608280 | + | 0.154987i | ||||
\(892\) | 2.52276e12 | − | 1.10529e13i | 0.133424 | − | 0.584569i | ||||
\(893\) | −2.99842e10 | + | 4.00111e11i | −0.00157783 | + | 0.0210547i | ||||
\(894\) | 1.46829e11 | − | 4.52909e10i | 0.00768766 | − | 0.00237133i | ||||
\(895\) | 4.01230e12 | + | 1.93222e12i | 0.209021 | + | 0.100659i | ||||
\(896\) | −7.69179e12 | − | 1.33226e13i | −0.398696 | − | 0.690561i | ||||
\(897\) | −1.74996e12 | + | 3.03102e12i | −0.0902530 | + | 0.156323i | ||||
\(898\) | 1.08888e13 | − | 7.42389e12i | 0.558777 | − | 0.380967i | ||||
\(899\) | −5.50122e12 | − | 2.41024e13i | −0.280893 | − | 1.23067i | ||||
\(900\) | −1.28744e13 | + | 1.94050e12i | −0.654086 | + | 0.0985876i | ||||
\(901\) | 1.68472e12 | − | 2.11258e12i | 0.0851662 | − | 0.106795i | ||||
\(902\) | −5.99722e12 | −0.301662 | ||||||||
\(903\) | −7.06510e12 | − | 1.81031e12i | −0.353609 | − | 0.0906063i | ||||
\(904\) | 1.57735e11 | 0.00785543 | ||||||||
\(905\) | 1.37049e13 | − | 1.71855e13i | 0.679139 | − | 0.851613i | ||||
\(906\) | −6.05210e12 | + | 9.12208e11i | −0.298421 | + | 0.0449797i | ||||
\(907\) | −7.21527e12 | − | 3.16122e13i | −0.354014 | − | 1.55103i | −0.767818 | − | 0.640669i | \(-0.778657\pi\) |
0.413804 | − | 0.910366i | \(-0.364200\pi\) | |||||||
\(908\) | 2.64888e12 | − | 1.80598e12i | 0.129323 | − | 0.0881711i | ||||
\(909\) | −4.19139e12 | + | 7.25971e12i | −0.203620 | + | 0.352681i | ||||
\(910\) | −3.80811e12 | − | 6.59584e12i | −0.184087 | − | 0.318848i | ||||
\(911\) | 3.24354e13 | + | 1.56201e13i | 1.56022 | + | 0.751365i | 0.997179 | − | 0.0750608i | \(-0.0239151\pi\) |
0.563046 | + | 0.826426i | \(0.309629\pi\) | |||||||
\(912\) | −2.08875e11 | + | 6.44294e10i | −0.00999793 | + | 0.00308395i | ||||
\(913\) | 1.21214e12 | − | 1.61749e13i | 0.0577345 | − | 0.770413i | ||||
\(914\) | 1.93685e12 | − | 8.48591e12i | 0.0917992 | − | 0.402199i | ||||
\(915\) | 7.92117e12 | + | 2.01828e13i | 0.373589 | + | 0.951890i | ||||
\(916\) | −4.23924e11 | − | 5.65687e12i | −0.0198957 | − | 0.265489i | ||||
\(917\) | 9.79271e12 | + | 1.47601e12i | 0.457342 | + | 0.0689332i | ||||
\(918\) | −3.04560e12 | + | 2.82590e12i | −0.141540 | + | 0.131330i | ||||
\(919\) | −1.60957e13 | + | 7.75128e12i | −0.744372 | + | 0.358471i | −0.767319 | − | 0.641266i | \(-0.778410\pi\) |
0.0229464 | + | 0.999737i | \(0.492695\pi\) | |||||||
\(920\) | −9.91300e12 | − | 6.75857e12i | −0.456205 | − | 0.311035i | ||||
\(921\) | 3.34934e12 | − | 8.53397e12i | 0.153388 | − | 0.390825i | ||||
\(922\) | −1.03232e13 | − | 3.18428e12i | −0.470462 | − | 0.145118i | ||||
\(923\) | 5.38307e12 | + | 4.99476e12i | 0.244131 | + | 0.226520i | ||||
\(924\) | −1.71873e12 | − | 2.15522e12i | −0.0775682 | − | 0.0972674i | ||||
\(925\) | 1.95411e13 | + | 2.45038e13i | 0.877630 | + | 1.10051i | ||||
\(926\) | 5.55290e12 | + | 5.15234e12i | 0.248182 | + | 0.230279i | ||||
\(927\) | 2.01680e13 | + | 6.22100e12i | 0.897023 | + | 0.276695i | ||||
\(928\) | 1.47367e13 | − | 3.75485e13i | 0.652280 | − | 1.66198i | ||||
\(929\) | 2.57962e13 | + | 1.75875e13i | 1.13628 | + | 0.774702i | 0.977149 | − | 0.212556i | \(-0.0681788\pi\) |
0.159130 | + | 0.987258i | \(0.449131\pi\) | |||||||
\(930\) | 3.99463e12 | − | 1.92371e12i | 0.175107 | − | 0.0843271i | ||||
\(931\) | −2.93027e11 | + | 2.71890e11i | −0.0127831 | + | 0.0118609i | ||||
\(932\) | −2.43906e13 | − | 3.67628e12i | −1.05889 | − | 0.159602i | ||||
\(933\) | −6.17324e10 | − | 8.23761e11i | −0.00266714 | − | 0.0355905i | ||||
\(934\) | −1.17496e12 | − | 2.99375e12i | −0.0505199 | − | 0.128723i | ||||
\(935\) | 1.69190e12 | − | 7.41271e12i | 0.0723974 | − | 0.317194i | ||||
\(936\) | −8.23626e11 | + | 1.09905e13i | −0.0350743 | + | 0.468034i | ||||
\(937\) | 3.82653e13 | − | 1.18033e13i | 1.62172 | − | 0.500235i | 0.654907 | − | 0.755709i | \(-0.272708\pi\) |
0.966816 | + | 0.255474i | \(0.0822315\pi\) | |||||||
\(938\) | −1.40331e12 | − | 6.75800e11i | −0.0591891 | − | 0.0285040i | ||||
\(939\) | −7.99899e12 | − | 1.38547e13i | −0.335769 | − | 0.581568i | ||||
\(940\) | −6.44615e12 | + | 1.11651e13i | −0.269293 | + | 0.466429i | ||||
\(941\) | 3.11897e13 | − | 2.12648e13i | 1.29675 | − | 0.884111i | 0.299212 | − | 0.954187i | \(-0.403276\pi\) |
0.997542 | + | 0.0700753i | \(0.0223239\pi\) | |||||||
\(942\) | 1.45580e10 | + | 6.37827e10i | 0.000602382 | + | 0.00263921i | ||||
\(943\) | −2.06375e13 | + | 3.11060e12i | −0.849874 | + | 0.128098i | ||||
\(944\) | 1.11844e13 | − | 1.40248e13i | 0.458393 | − | 0.574806i | ||||
\(945\) | 2.27442e13 | 0.927743 | ||||||||
\(946\) | 4.20632e12 | + | 1.07780e12i | 0.170763 | + | 0.0437549i | ||||
\(947\) | −3.57878e13 | −1.44597 | −0.722987 | − | 0.690862i | \(-0.757231\pi\) | ||||
−0.722987 | + | 0.690862i | \(0.757231\pi\) | |||||||
\(948\) | 2.34204e12 | − | 2.93683e12i | 0.0941797 | − | 0.118098i | ||||
\(949\) | −1.50992e12 | + | 2.27584e11i | −0.0604305 | + | 0.00910844i | ||||
\(950\) | −1.11496e11 | − | 4.88496e11i | −0.00444123 | − | 0.0194583i | ||||
\(951\) | −1.11742e13 | + | 7.61842e12i | −0.442999 | + | 0.302032i | ||||
\(952\) | −4.23171e12 | + | 7.32953e12i | −0.166974 | + | 0.289208i | ||||
\(953\) | −1.16371e13 | − | 2.01560e13i | −0.457010 | − | 0.791565i | 0.541791 | − | 0.840513i | \(-0.317746\pi\) |
−0.998801 | + | 0.0489483i | \(0.984413\pi\) | |||||||
\(954\) | −1.90642e12 | − | 9.18084e11i | −0.0745163 | − | 0.0358852i | ||||
\(955\) | 3.44959e12 | − | 1.06406e12i | 0.134200 | − | 0.0413952i | ||||
\(956\) | −8.95404e11 | + | 1.19483e13i | −0.0346704 | + | 0.462644i | ||||
\(957\) | 2.02616e12 | − | 8.87717e12i | 0.0780853 | − | 0.342114i | ||||
\(958\) | 5.30105e12 | + | 1.35069e13i | 0.203337 | + | 0.518095i | ||||
\(959\) | 8.63843e11 | + | 1.15272e13i | 0.0329800 | + | 0.440088i | ||||
\(960\) | −1.31555e12 | − | 1.98287e11i | −0.0499904 | − | 0.00753483i | ||||
\(961\) | 1.00583e13 | − | 9.33276e12i | 0.380426 | − | 0.352984i | ||||
\(962\) | 1.07703e13 | − | 5.18669e12i | 0.405451 | − | 0.195255i | ||||
\(963\) | 1.63442e13 | + | 1.11433e13i | 0.612415 | + | 0.417537i | ||||
\(964\) | −1.58276e13 | + | 4.03280e13i | −0.590293 | + | 1.50404i | ||||
\(965\) | −2.71002e12 | − | 8.35929e11i | −0.100600 | − | 0.0310310i | ||||
\(966\) | 1.54281e12 | + | 1.43152e12i | 0.0570054 | + | 0.0528933i | ||||
\(967\) | −3.82687e12 | − | 4.79875e12i | −0.140742 | − | 0.176485i | 0.706464 | − | 0.707749i | \(-0.250289\pi\) |
−0.847207 | + | 0.531263i | \(0.821718\pi\) | |||||||
\(968\) | −1.08781e13 | − | 1.36407e13i | −0.398210 | − | 0.499340i | ||||
\(969\) | 2.34910e11 | + | 2.17964e11i | 0.00855941 | + | 0.00794197i | ||||
\(970\) | −1.70675e13 | − | 5.26463e12i | −0.619010 | − | 0.190939i | ||||
\(971\) | −1.12779e13 | + | 2.87357e13i | −0.407139 | + | 1.03737i | 0.569406 | + | 0.822057i | \(0.307173\pi\) |
−0.976544 | + | 0.215316i | \(0.930922\pi\) | |||||||
\(972\) | −1.91181e13 | − | 1.30345e13i | −0.686985 | − | 0.468378i | ||||
\(973\) | 1.32383e12 | − | 6.37525e11i | 0.0473506 | − | 0.0228029i | ||||
\(974\) | 7.15836e12 | − | 6.64199e12i | 0.254858 | − | 0.236474i | ||||
\(975\) | −1.03071e13 | − | 1.55354e12i | −0.365271 | − | 0.0550557i | ||||
\(976\) | −1.61532e12 | − | 2.15549e13i | −0.0569816 | − | 0.760366i | ||||
\(977\) | −1.52348e13 | − | 3.88176e13i | −0.534948 | − | 1.36302i | −0.901561 | − | 0.432651i | \(-0.857578\pi\) |
0.366614 | − | 0.930373i | \(-0.380517\pi\) | |||||||
\(978\) | 5.67583e11 | − | 2.48674e12i | 0.0198383 | − | 0.0869173i | ||||
\(979\) | −1.18129e12 | + | 1.57632e13i | −0.0410992 | + | 0.548430i | ||||
\(980\) | −1.22736e13 | + | 3.78590e12i | −0.425063 | + | 0.131115i | ||||
\(981\) | 2.31080e12 | + | 1.11282e12i | 0.0796620 | + | 0.0383632i | ||||
\(982\) | −6.79563e12 | − | 1.17704e13i | −0.233200 | − | 0.403914i | ||||
\(983\) | 1.43038e13 | − | 2.47748e13i | 0.488606 | − | 0.846291i | −0.511308 | − | 0.859398i | \(-0.670839\pi\) |
0.999914 | + | 0.0131067i | \(0.00417211\pi\) | |||||||
\(984\) | 1.48931e13 | − | 1.01539e13i | 0.506415 | − | 0.345268i | ||||
\(985\) | 1.19291e13 | + | 5.22647e13i | 0.403779 | + | 1.76907i | ||||
\(986\) | −1.24554e13 | + | 1.87735e12i | −0.419674 | + | 0.0632556i | ||||
\(987\) | 3.12948e12 | − | 3.92424e12i | 0.104965 | − | 0.131622i | ||||
\(988\) | 8.71105e11 | 0.0290847 | ||||||||
\(989\) | 1.50337e13 | + | 1.52718e12i | 0.499670 | + | 0.0507584i | ||||
\(990\) | −5.95407e12 | −0.196995 | ||||||||
\(991\) | −2.87217e13 | + | 3.60158e13i | −0.945972 | + | 1.18621i | 0.0364117 | + | 0.999337i | \(0.488407\pi\) |
−0.982384 | + | 0.186875i | \(0.940164\pi\) | |||||||
\(992\) | −2.05197e13 | + | 3.09284e12i | −0.672772 | + | 0.101404i | ||||
\(993\) | −5.25849e12 | − | 2.30390e13i | −0.171629 | − | 0.751954i | ||||
\(994\) | 3.64856e12 | − | 2.48755e12i | 0.118545 | − | 0.0808226i | ||||
\(995\) | −1.28616e13 | + | 2.22769e13i | −0.415996 | + | 0.720527i | ||||
\(996\) | 1.09831e13 | + | 1.90232e13i | 0.353636 | + | 0.612516i | ||||
\(997\) | 1.03243e13 | + | 4.97192e12i | 0.330927 | + | 0.159366i | 0.591968 | − | 0.805962i | \(-0.298351\pi\) |
−0.261040 | + | 0.965328i | \(0.584066\pi\) | |||||||
\(998\) | 1.93459e13 | − | 5.96741e12i | 0.617307 | − | 0.190414i | ||||
\(999\) | −2.66774e12 | + | 3.55985e13i | −0.0847420 | + | 1.13080i |
(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 | 43.10.g.a.24.14 | yes | 384 | |
43.9 | even | 21 | inner | 43.10.g.a.9.14 | ✓ | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.g.a.9.14 | ✓ | 384 | 43.9 | even | 21 | inner | |
43.10.g.a.24.14 | yes | 384 | 1.1 | even | 1 | trivial |