Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(6,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.6");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.c (of order \(3\), 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: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 6.1 | ||
Character | \(\chi\) | \(=\) | 43.6 |
Dual form | 43.10.c.a.36.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −42.7731 | −1.89032 | −0.945160 | − | 0.326606i | \(-0.894095\pi\) | ||||
−0.945160 | + | 0.326606i | \(0.894095\pi\) | |||||||
\(3\) | 124.841 | − | 216.230i | 0.889836 | − | 1.54124i | 0.0497683 | − | 0.998761i | \(-0.484152\pi\) |
0.840068 | − | 0.542481i | \(-0.182515\pi\) | |||||||
\(4\) | 1317.54 | 2.57331 | ||||||||
\(5\) | 1213.19 | − | 2101.31i | 0.868088 | − | 1.50357i | 0.00413917 | − | 0.999991i | \(-0.498682\pi\) |
0.863948 | − | 0.503580i | \(-0.167984\pi\) | |||||||
\(6\) | −5339.82 | + | 9248.83i | −1.68208 | + | 2.91344i | ||||
\(7\) | −2678.56 | − | 4639.41i | −0.421658 | − | 0.730333i | 0.574444 | − | 0.818544i | \(-0.305218\pi\) |
−0.996102 | + | 0.0882107i | \(0.971885\pi\) | |||||||
\(8\) | −34455.3 | −2.97407 | ||||||||
\(9\) | −21328.8 | − | 36942.6i | −1.08362 | − | 1.87688i | ||||
\(10\) | −51891.8 | + | 89879.3i | −1.64096 | + | 2.84223i | ||||
\(11\) | 1193.75 | 0.0245837 | 0.0122918 | − | 0.999924i | \(-0.496087\pi\) | ||||
0.0122918 | + | 0.999924i | \(0.496087\pi\) | |||||||
\(12\) | 164482. | − | 284891.i | 2.28983 | − | 3.96610i | ||||
\(13\) | −12214.7 | − | 21156.5i | −0.118614 | − | 0.205446i | 0.800604 | − | 0.599193i | \(-0.204512\pi\) |
−0.919219 | + | 0.393747i | \(0.871179\pi\) | |||||||
\(14\) | 114570. | + | 198442.i | 0.797069 | + | 1.38056i | ||||
\(15\) | −302911. | − | 524656.i | −1.54491 | − | 2.67587i | ||||
\(16\) | 799179. | 3.04863 | ||||||||
\(17\) | 48845.7 | + | 84603.2i | 0.141842 | + | 0.245678i | 0.928190 | − | 0.372106i | \(-0.121364\pi\) |
−0.786348 | + | 0.617784i | \(0.788031\pi\) | |||||||
\(18\) | 912300. | + | 1.58015e6i | 2.04838 | + | 3.54791i | ||||
\(19\) | −140389. | + | 243161.i | −0.247139 | + | 0.428057i | −0.962731 | − | 0.270461i | \(-0.912824\pi\) |
0.715592 | + | 0.698519i | \(0.246157\pi\) | |||||||
\(20\) | 1.59842e6 | − | 2.76855e6i | 2.23386 | − | 3.86916i | ||||
\(21\) | −1.33757e6 | −1.50083 | ||||||||
\(22\) | −51060.5 | −0.0464711 | ||||||||
\(23\) | 1.19921e6 | − | 2.07709e6i | 0.893549 | − | 1.54767i | 0.0579592 | − | 0.998319i | \(-0.481541\pi\) |
0.835590 | − | 0.549354i | \(-0.185126\pi\) | |||||||
\(24\) | −4.30142e6 | + | 7.45027e6i | −2.64643 | + | 4.58376i | ||||
\(25\) | −1.96709e6 | − | 3.40711e6i | −1.00715 | − | 1.74444i | ||||
\(26\) | 522460. | + | 904927.i | 0.224219 | + | 0.388359i | ||||
\(27\) | −5.73635e6 | −2.07730 | ||||||||
\(28\) | −3.52910e6 | − | 6.11259e6i | −1.08506 | − | 1.87938i | ||||
\(29\) | 3.04400e6 | + | 5.27236e6i | 0.799196 | + | 1.38425i | 0.920140 | + | 0.391589i | \(0.128074\pi\) |
−0.120944 | + | 0.992659i | \(0.538592\pi\) | |||||||
\(30\) | 1.29564e7 | + | 2.24412e7i | 2.92038 | + | 5.05824i | ||||
\(31\) | 96457.0 | − | 167068.i | 0.0187588 | − | 0.0324913i | −0.856494 | − | 0.516158i | \(-0.827362\pi\) |
0.875252 | + | 0.483666i | \(0.160695\pi\) | |||||||
\(32\) | −1.65423e7 | −2.78882 | ||||||||
\(33\) | 149029. | − | 258125.i | 0.0218755 | − | 0.0378894i | ||||
\(34\) | −2.08928e6 | − | 3.61874e6i | −0.268128 | − | 0.464411i | ||||
\(35\) | −1.29984e7 | −1.46415 | ||||||||
\(36\) | −2.81015e7 | − | 4.86733e7i | −2.78849 | − | 4.82980i | ||||
\(37\) | −997944. | + | 1.72849e6i | −0.0875384 | + | 0.151621i | −0.906470 | − | 0.422270i | \(-0.861233\pi\) |
0.818932 | + | 0.573891i | \(0.194567\pi\) | |||||||
\(38\) | 6.00486e6 | − | 1.04007e7i | 0.467172 | − | 0.809166i | ||||
\(39\) | −6.09956e6 | −0.422190 | ||||||||
\(40\) | −4.18008e7 | + | 7.24010e7i | −2.58175 | + | 4.47172i | ||||
\(41\) | 2.56366e7 | 1.41688 | 0.708439 | − | 0.705772i | \(-0.249400\pi\) | ||||
0.708439 | + | 0.705772i | \(0.249400\pi\) | |||||||
\(42\) | 5.72121e7 | 2.83705 | ||||||||
\(43\) | 2.16396e7 | − | 5.85852e6i | 0.965251 | − | 0.261324i | ||||
\(44\) | 1.57281e6 | 0.0632616 | ||||||||
\(45\) | −1.03504e8 | −3.76270 | ||||||||
\(46\) | −5.12937e7 | + | 8.88433e7i | −1.68909 | + | 2.92560i | ||||
\(47\) | 1.53906e7 | 0.460061 | 0.230031 | − | 0.973183i | \(-0.426117\pi\) | ||||
0.230031 | + | 0.973183i | \(0.426117\pi\) | |||||||
\(48\) | 9.97700e7 | − | 1.72807e8i | 2.71278 | − | 4.69867i | ||||
\(49\) | 5.82741e6 | − | 1.00934e7i | 0.144409 | − | 0.250123i | ||||
\(50\) | 8.41387e7 | + | 1.45732e8i | 1.90384 | + | 3.29755i | ||||
\(51\) | 2.43917e7 | 0.504866 | ||||||||
\(52\) | −1.60933e7 | − | 2.78744e7i | −0.305232 | − | 0.528677i | ||||
\(53\) | −2.92899e6 | + | 5.07316e6i | −0.0509890 | + | 0.0883156i | −0.890393 | − | 0.455192i | \(-0.849571\pi\) |
0.839404 | + | 0.543507i | \(0.182904\pi\) | |||||||
\(54\) | 2.45361e8 | 3.92676 | ||||||||
\(55\) | 1.44825e6 | − | 2.50844e6i | 0.0213408 | − | 0.0369634i | ||||
\(56\) | 9.22906e7 | + | 1.59852e8i | 1.25404 | + | 2.17206i | ||||
\(57\) | 3.50525e7 | + | 6.07126e7i | 0.439827 | + | 0.761802i | ||||
\(58\) | −1.30201e8 | − | 2.25515e8i | −1.51074 | − | 2.61667i | ||||
\(59\) | −3.88171e7 | −0.417051 | −0.208526 | − | 0.978017i | \(-0.566866\pi\) | ||||
−0.208526 | + | 0.978017i | \(0.566866\pi\) | |||||||
\(60\) | −3.99096e8 | − | 6.91254e8i | −3.97554 | − | 6.88584i | ||||
\(61\) | −1.34876e7 | − | 2.33612e7i | −0.124724 | − | 0.216029i | 0.796901 | − | 0.604110i | \(-0.206471\pi\) |
−0.921625 | + | 0.388081i | \(0.873138\pi\) | |||||||
\(62\) | −4.12576e6 | + | 7.14603e6i | −0.0354602 | + | 0.0614189i | ||||
\(63\) | −1.14261e8 | + | 1.97906e8i | −0.913832 | + | 1.58280i | ||||
\(64\) | 2.98384e8 | 2.22313 | ||||||||
\(65\) | −5.92749e7 | −0.411871 | ||||||||
\(66\) | −6.37442e6 | + | 1.10408e7i | −0.0413517 | + | 0.0716232i | ||||
\(67\) | −1.54390e8 | + | 2.67411e8i | −0.936013 | + | 1.62122i | −0.163196 | + | 0.986594i | \(0.552180\pi\) |
−0.772817 | + | 0.634629i | \(0.781153\pi\) | |||||||
\(68\) | 6.43559e7 | + | 1.11468e8i | 0.365005 | + | 0.632207i | ||||
\(69\) | −2.99419e8 | − | 5.18609e8i | −1.59023 | − | 2.75435i | ||||
\(70\) | 5.55982e8 | 2.76770 | ||||||||
\(71\) | 1.81591e8 | + | 3.14525e8i | 0.848071 | + | 1.46890i | 0.882927 | + | 0.469510i | \(0.155570\pi\) |
−0.0348555 | + | 0.999392i | \(0.511097\pi\) | |||||||
\(72\) | 7.34891e8 | + | 1.27287e9i | 3.22275 | + | 5.58197i | ||||
\(73\) | −1.10895e8 | − | 1.92076e8i | −0.457047 | − | 0.791628i | 0.541757 | − | 0.840535i | \(-0.317759\pi\) |
−0.998803 | + | 0.0489072i | \(0.984426\pi\) | |||||||
\(74\) | 4.26852e7 | − | 7.39329e7i | 0.165476 | − | 0.286612i | ||||
\(75\) | −9.82293e8 | −3.58480 | ||||||||
\(76\) | −1.84967e8 | + | 3.20373e8i | −0.635966 | + | 1.10153i | ||||
\(77\) | −3.19754e6 | − | 5.53830e6i | −0.0103659 | − | 0.0179543i | ||||
\(78\) | 2.60897e8 | 0.798074 | ||||||||
\(79\) | −8.97111e7 | − | 1.55384e8i | −0.259134 | − | 0.448833i | 0.706876 | − | 0.707337i | \(-0.250104\pi\) |
−0.966010 | + | 0.258504i | \(0.916770\pi\) | |||||||
\(80\) | 9.69556e8 | − | 1.67932e9i | 2.64648 | − | 4.58383i | ||||
\(81\) | −2.96313e8 | + | 5.13230e8i | −0.764836 | + | 1.32474i | ||||
\(82\) | −1.09656e9 | −2.67836 | ||||||||
\(83\) | 1.73002e8 | − | 2.99648e8i | 0.400128 | − | 0.693043i | −0.593613 | − | 0.804751i | \(-0.702299\pi\) |
0.993741 | + | 0.111708i | \(0.0356322\pi\) | |||||||
\(84\) | −1.76230e9 | −3.86210 | ||||||||
\(85\) | 2.37036e8 | 0.492526 | ||||||||
\(86\) | −9.25590e8 | + | 2.50587e8i | −1.82463 | + | 0.493987i | ||||
\(87\) | 1.52006e9 | 2.84461 | ||||||||
\(88\) | −4.11311e7 | −0.0731136 | ||||||||
\(89\) | −2.65679e8 | + | 4.60169e8i | −0.448851 | + | 0.777432i | −0.998312 | − | 0.0580874i | \(-0.981500\pi\) |
0.549461 | + | 0.835519i | \(0.314833\pi\) | |||||||
\(90\) | 4.42717e9 | 7.11271 | ||||||||
\(91\) | −6.54356e7 | + | 1.13338e8i | −0.100029 | + | 0.173256i | ||||
\(92\) | 1.58000e9 | − | 2.73664e9i | 2.29938 | − | 3.98265i | ||||
\(93\) | −2.40835e7 | − | 4.17138e7i | −0.0333846 | − | 0.0578238i | ||||
\(94\) | −6.58304e8 | −0.869664 | ||||||||
\(95\) | 3.40637e8 | + | 5.90000e8i | 0.429077 | + | 0.743183i | ||||
\(96\) | −2.06515e9 | + | 3.57694e9i | −2.48159 | + | 4.29824i | ||||
\(97\) | 8.80706e8 | 1.01009 | 0.505043 | − | 0.863094i | \(-0.331477\pi\) | ||||
0.505043 | + | 0.863094i | \(0.331477\pi\) | |||||||
\(98\) | −2.49256e8 | + | 4.31725e8i | −0.272979 | + | 0.472813i | ||||
\(99\) | −2.54614e7 | − | 4.41004e7i | −0.0266393 | − | 0.0461407i | ||||
\(100\) | −2.59172e9 | − | 4.48899e9i | −2.59172 | − | 4.48899i | ||||
\(101\) | 4.72454e8 | + | 8.18315e8i | 0.451766 | + | 0.782482i | 0.998496 | − | 0.0548272i | \(-0.0174608\pi\) |
−0.546730 | + | 0.837309i | \(0.684127\pi\) | |||||||
\(102\) | −1.04331e9 | −0.954359 | ||||||||
\(103\) | 5.79652e7 | + | 1.00399e8i | 0.0507457 | + | 0.0878942i | 0.890282 | − | 0.455409i | \(-0.150507\pi\) |
−0.839537 | + | 0.543303i | \(0.817174\pi\) | |||||||
\(104\) | 4.20860e8 | + | 7.28952e8i | 0.352767 | + | 0.611010i | ||||
\(105\) | −1.62273e9 | + | 2.81065e9i | −1.30285 | + | 2.25660i | ||||
\(106\) | 1.25282e8 | − | 2.16995e8i | 0.0963856 | − | 0.166945i | ||||
\(107\) | 1.63275e9 | 1.20419 | 0.602093 | − | 0.798426i | \(-0.294334\pi\) | ||||
0.602093 | + | 0.798426i | \(0.294334\pi\) | |||||||
\(108\) | −7.55785e9 | −5.34553 | ||||||||
\(109\) | −4.72141e7 | + | 8.17771e7i | −0.0320370 | + | 0.0554897i | −0.881599 | − | 0.471998i | \(-0.843533\pi\) |
0.849562 | + | 0.527488i | \(0.176866\pi\) | |||||||
\(110\) | −6.19460e7 | + | 1.07294e8i | −0.0403410 | + | 0.0698726i | ||||
\(111\) | 2.49168e8 | + | 4.31572e8i | 0.155790 | + | 0.269836i | ||||
\(112\) | −2.14065e9 | − | 3.70772e9i | −1.28548 | − | 2.22651i | ||||
\(113\) | 7.64810e8 | 0.441266 | 0.220633 | − | 0.975357i | \(-0.429188\pi\) | ||||
0.220633 | + | 0.975357i | \(0.429188\pi\) | |||||||
\(114\) | −1.49930e9 | − | 2.59687e9i | −0.831414 | − | 1.44005i | ||||
\(115\) | −2.90973e9 | − | 5.03980e9i | −1.55136 | − | 2.68703i | ||||
\(116\) | 4.01058e9 | + | 6.94652e9i | 2.05658 | + | 3.56210i | ||||
\(117\) | −5.21050e8 | + | 9.02486e8i | −0.257065 | + | 0.445250i | ||||
\(118\) | 1.66033e9 | 0.788361 | ||||||||
\(119\) | 2.61672e8 | − | 4.53230e8i | 0.119618 | − | 0.207184i | ||||
\(120\) | 1.04369e10 | + | 1.80772e10i | 4.59467 | + | 7.95820i | ||||
\(121\) | −2.35652e9 | −0.999396 | ||||||||
\(122\) | 5.76907e8 | + | 9.99232e8i | 0.235769 | + | 0.408364i | ||||
\(123\) | 3.20048e9 | − | 5.54340e9i | 1.26079 | − | 2.18375i | ||||
\(124\) | 1.27086e8 | − | 2.20119e8i | 0.0482724 | − | 0.0836102i | ||||
\(125\) | −4.80681e9 | −1.76101 | ||||||||
\(126\) | 4.88731e9 | − | 8.46506e9i | 1.72744 | − | 2.99201i | ||||
\(127\) | −8.71809e8 | −0.297375 | −0.148687 | − | 0.988884i | \(-0.547505\pi\) | ||||
−0.148687 | + | 0.988884i | \(0.547505\pi\) | |||||||
\(128\) | −4.29315e9 | −1.41362 | ||||||||
\(129\) | 1.43471e9 | − | 5.41051e9i | 0.456151 | − | 1.72022i | ||||
\(130\) | 2.53537e9 | 0.778568 | ||||||||
\(131\) | −2.29543e9 | −0.680995 | −0.340497 | − | 0.940245i | \(-0.610595\pi\) | ||||
−0.340497 | + | 0.940245i | \(0.610595\pi\) | |||||||
\(132\) | 1.96351e8 | − | 3.40090e8i | 0.0562924 | − | 0.0975013i | ||||
\(133\) | 1.50416e9 | 0.416833 | ||||||||
\(134\) | 6.60373e9 | − | 1.14380e10i | 1.76937 | − | 3.06463i | ||||
\(135\) | −6.95927e9 | + | 1.20538e10i | −1.80328 | + | 3.12336i | ||||
\(136\) | −1.68299e9 | − | 2.91503e9i | −0.421849 | − | 0.730663i | ||||
\(137\) | −1.23346e8 | −0.0299146 | −0.0149573 | − | 0.999888i | \(-0.504761\pi\) | ||||
−0.0149573 | + | 0.999888i | \(0.504761\pi\) | |||||||
\(138\) | 1.28071e10 | + | 2.21825e10i | 3.00604 | + | 5.20661i | ||||
\(139\) | −7.67572e8 | + | 1.32947e9i | −0.174402 | + | 0.302074i | −0.939954 | − | 0.341300i | \(-0.889133\pi\) |
0.765552 | + | 0.643374i | \(0.222466\pi\) | |||||||
\(140\) | −1.71259e10 | −3.76770 | ||||||||
\(141\) | 1.92137e9 | − | 3.32792e9i | 0.409379 | − | 0.709066i | ||||
\(142\) | −7.76722e9 | − | 1.34532e10i | −1.60313 | − | 2.77670i | ||||
\(143\) | −1.45813e7 | − | 2.52556e7i | −0.00291598 | − | 0.00505063i | ||||
\(144\) | −1.70456e10 | − | 2.95238e10i | −3.30355 | − | 5.72191i | ||||
\(145\) | 1.47718e10 | 2.77509 | ||||||||
\(146\) | 4.74334e9 | + | 8.21570e9i | 0.863965 | + | 1.49643i | ||||
\(147\) | −1.45499e9 | − | 2.52013e9i | −0.257000 | − | 0.445137i | ||||
\(148\) | −1.31483e9 | + | 2.27735e9i | −0.225264 | + | 0.390168i | ||||
\(149\) | −3.36749e9 | + | 5.83266e9i | −0.559716 | + | 0.969457i | 0.437804 | + | 0.899071i | \(0.355757\pi\) |
−0.997520 | + | 0.0703863i | \(0.977577\pi\) | |||||||
\(150\) | 4.20157e10 | 6.77643 | ||||||||
\(151\) | −5.23852e9 | −0.819997 | −0.409999 | − | 0.912086i | \(-0.634471\pi\) | ||||
−0.409999 | + | 0.912086i | \(0.634471\pi\) | |||||||
\(152\) | 4.83714e9 | − | 8.37817e9i | 0.735008 | − | 1.27307i | ||||
\(153\) | 2.08364e9 | − | 3.60898e9i | 0.307406 | − | 0.532442i | ||||
\(154\) | 1.36769e8 | + | 2.36890e8i | 0.0195949 | + | 0.0339394i | ||||
\(155\) | −2.34041e8 | − | 4.05371e8i | −0.0325686 | − | 0.0564105i | ||||
\(156\) | −8.03639e9 | −1.08643 | ||||||||
\(157\) | 1.04692e8 | + | 1.81332e8i | 0.0137520 | + | 0.0238191i | 0.872820 | − | 0.488043i | \(-0.162289\pi\) |
−0.859068 | + | 0.511862i | \(0.828956\pi\) | |||||||
\(158\) | 3.83722e9 | + | 6.64626e9i | 0.489846 | + | 0.848438i | ||||
\(159\) | 7.31314e8 | + | 1.26667e9i | 0.0907438 | + | 0.157173i | ||||
\(160\) | −2.00689e10 | + | 3.47603e10i | −2.42094 | + | 4.19319i | ||||
\(161\) | −1.28486e10 | −1.50709 | ||||||||
\(162\) | 1.26742e10 | − | 2.19524e10i | 1.44579 | − | 2.50418i | ||||
\(163\) | −7.12384e8 | − | 1.23389e9i | −0.0790442 | − | 0.136909i | 0.823794 | − | 0.566890i | \(-0.191854\pi\) |
−0.902838 | + | 0.429981i | \(0.858520\pi\) | |||||||
\(164\) | 3.37771e10 | 3.64607 | ||||||||
\(165\) | −3.61600e8 | − | 6.26310e8i | −0.0379796 | − | 0.0657827i | ||||
\(166\) | −7.39982e9 | + | 1.28169e10i | −0.756371 | + | 1.31007i | ||||
\(167\) | −1.23106e9 | + | 2.13226e9i | −0.122477 | + | 0.212137i | −0.920744 | − | 0.390167i | \(-0.872417\pi\) |
0.798267 | + | 0.602304i | \(0.205750\pi\) | |||||||
\(168\) | 4.60864e10 | 4.46356 | ||||||||
\(169\) | 5.00385e9 | − | 8.66693e9i | 0.471861 | − | 0.817288i | ||||
\(170\) | −1.01388e10 | −0.931033 | ||||||||
\(171\) | 1.19773e10 | 1.07122 | ||||||||
\(172\) | 2.85109e10 | − | 7.71881e9i | 2.48389 | − | 0.672470i | ||||
\(173\) | 6.10742e9 | 0.518382 | 0.259191 | − | 0.965826i | \(-0.416544\pi\) | ||||
0.259191 | + | 0.965826i | \(0.416544\pi\) | |||||||
\(174\) | −6.50175e10 | −5.37723 | ||||||||
\(175\) | −1.05380e10 | + | 1.82523e10i | −0.849348 | + | 1.47111i | ||||
\(176\) | 9.54022e8 | 0.0749465 | ||||||||
\(177\) | −4.84596e9 | + | 8.39344e9i | −0.371107 | + | 0.642777i | ||||
\(178\) | 1.13639e10 | − | 1.96828e10i | 0.848472 | − | 1.46960i | ||||
\(179\) | −1.00086e10 | − | 1.73355e10i | −0.728679 | − | 1.26211i | −0.957442 | − | 0.288627i | \(-0.906801\pi\) |
0.228762 | − | 0.973482i | \(-0.426532\pi\) | |||||||
\(180\) | −1.36370e11 | −9.68260 | ||||||||
\(181\) | 3.84169e9 | + | 6.65400e9i | 0.266053 | + | 0.460818i | 0.967839 | − | 0.251570i | \(-0.0809470\pi\) |
−0.701786 | + | 0.712388i | \(0.747614\pi\) | |||||||
\(182\) | 2.79888e9 | − | 4.84781e9i | 0.189088 | − | 0.327510i | ||||
\(183\) | −6.73521e9 | −0.443937 | ||||||||
\(184\) | −4.13190e10 | + | 7.15665e10i | −2.65747 | + | 4.60288i | ||||
\(185\) | 2.42139e9 | + | 4.19397e9i | 0.151982 | + | 0.263241i | ||||
\(186\) | 1.03013e9 | + | 1.78423e9i | 0.0631076 | + | 0.109306i | ||||
\(187\) | 5.83096e7 | + | 1.00995e8i | 0.00348701 | + | 0.00603968i | ||||
\(188\) | 2.02777e10 | 1.18388 | ||||||||
\(189\) | 1.53652e10 | + | 2.66132e10i | 0.875909 | + | 1.51712i | ||||
\(190\) | −1.45701e10 | − | 2.52361e10i | −0.811093 | − | 1.40485i | ||||
\(191\) | 4.25669e9 | − | 7.37280e9i | 0.231431 | − | 0.400850i | −0.726798 | − | 0.686851i | \(-0.758993\pi\) |
0.958229 | + | 0.286001i | \(0.0923259\pi\) | |||||||
\(192\) | 3.72504e10 | − | 6.45196e10i | 1.97822 | − | 3.42638i | ||||
\(193\) | −2.01570e10 | −1.04573 | −0.522864 | − | 0.852416i | \(-0.675136\pi\) | ||||
−0.522864 | + | 0.852416i | \(0.675136\pi\) | |||||||
\(194\) | −3.76705e10 | −1.90939 | ||||||||
\(195\) | −7.39992e9 | + | 1.28170e10i | −0.366497 | + | 0.634792i | ||||
\(196\) | 7.67783e9 | − | 1.32984e10i | 0.371609 | − | 0.643645i | ||||
\(197\) | −3.22336e9 | − | 5.58302e9i | −0.152479 | − | 0.264102i | 0.779659 | − | 0.626204i | \(-0.215392\pi\) |
−0.932138 | + | 0.362103i | \(0.882059\pi\) | |||||||
\(198\) | 1.08906e9 | + | 1.88631e9i | 0.0503569 | + | 0.0872207i | ||||
\(199\) | 3.64070e9 | 0.164568 | 0.0822842 | − | 0.996609i | \(-0.473778\pi\) | ||||
0.0822842 | + | 0.996609i | \(0.473778\pi\) | |||||||
\(200\) | 6.77767e10 | + | 1.17393e11i | 2.99534 | + | 5.18808i | ||||
\(201\) | 3.85482e10 | + | 6.67675e10i | 1.66580 | + | 2.88525i | ||||
\(202\) | −2.02083e10 | − | 3.50019e10i | −0.853983 | − | 1.47914i | ||||
\(203\) | 1.63071e10 | − | 2.82447e10i | 0.673975 | − | 1.16736i | ||||
\(204\) | 3.21369e10 | 1.29918 | ||||||||
\(205\) | 3.11020e10 | − | 5.38703e10i | 1.22997 | − | 2.13038i | ||||
\(206\) | −2.47935e9 | − | 4.29436e9i | −0.0959257 | − | 0.166148i | ||||
\(207\) | −1.02311e11 | −3.87306 | ||||||||
\(208\) | −9.76173e9 | − | 1.69078e10i | −0.361611 | − | 0.626329i | ||||
\(209\) | −1.67590e8 | + | 2.90274e8i | −0.00607559 | + | 0.0105232i | ||||
\(210\) | 6.94091e10 | − | 1.20220e11i | 2.46280 | − | 4.26570i | ||||
\(211\) | −3.85423e10 | −1.33865 | −0.669325 | − | 0.742970i | \(-0.733417\pi\) | ||||
−0.669325 | + | 0.742970i | \(0.733417\pi\) | |||||||
\(212\) | −3.85905e9 | + | 6.68407e9i | −0.131211 | + | 0.227264i | ||||
\(213\) | 9.06798e10 | 3.01858 | ||||||||
\(214\) | −6.98378e10 | −2.27630 | ||||||||
\(215\) | 1.39423e10 | − | 5.25788e10i | 0.445002 | − | 1.67818i | ||||
\(216\) | 1.97647e11 | 6.17802 | ||||||||
\(217\) | −1.03346e9 | −0.0316393 | ||||||||
\(218\) | 2.01949e9 | − | 3.49786e9i | 0.0605602 | − | 0.104893i | ||||
\(219\) | −5.53770e10 | −1.62679 | ||||||||
\(220\) | 1.90812e9 | − | 3.30496e9i | 0.0549166 | − | 0.0951183i | ||||
\(221\) | 1.19327e9 | − | 2.06680e9i | 0.0336491 | − | 0.0582819i | ||||
\(222\) | −1.06577e10 | − | 1.84596e10i | −0.294493 | − | 0.510076i | ||||
\(223\) | 1.91596e10 | 0.518817 | 0.259408 | − | 0.965768i | \(-0.416472\pi\) | ||||
0.259408 | + | 0.965768i | \(0.416472\pi\) | |||||||
\(224\) | 4.43095e10 | + | 7.67463e10i | 1.17593 | + | 2.03677i | ||||
\(225\) | −8.39117e10 | + | 1.45339e11i | −2.18274 | + | 3.78061i | ||||
\(226\) | −3.27133e10 | −0.834134 | ||||||||
\(227\) | −4.82965e9 | + | 8.36520e9i | −0.120726 | + | 0.209103i | −0.920054 | − | 0.391792i | \(-0.871855\pi\) |
0.799328 | + | 0.600894i | \(0.205189\pi\) | |||||||
\(228\) | 4.61829e10 | + | 7.99911e10i | 1.13181 | + | 1.96036i | ||||
\(229\) | −5.15020e8 | − | 8.92041e8i | −0.0123756 | − | 0.0214351i | 0.859771 | − | 0.510679i | \(-0.170606\pi\) |
−0.872147 | + | 0.489244i | \(0.837273\pi\) | |||||||
\(230\) | 1.24458e11 | + | 2.15568e11i | 2.93256 | + | 5.07935i | ||||
\(231\) | −1.59673e9 | −0.0368959 | ||||||||
\(232\) | −1.04882e11 | − | 1.81660e11i | −2.37686 | − | 4.11685i | ||||
\(233\) | 7.33611e9 | + | 1.27065e10i | 0.163066 | + | 0.282439i | 0.935967 | − | 0.352088i | \(-0.114528\pi\) |
−0.772901 | + | 0.634527i | \(0.781195\pi\) | |||||||
\(234\) | 2.22869e10 | − | 3.86021e10i | 0.485936 | − | 0.841665i | ||||
\(235\) | 1.86717e10 | − | 3.23404e10i | 0.399374 | − | 0.691735i | ||||
\(236\) | −5.11430e10 | −1.07320 | ||||||||
\(237\) | −4.47983e10 | −0.922347 | ||||||||
\(238\) | −1.11925e10 | + | 1.93860e10i | −0.226116 | + | 0.391645i | ||||
\(239\) | 3.46498e10 | − | 6.00152e10i | 0.686926 | − | 1.18979i | −0.285902 | − | 0.958259i | \(-0.592293\pi\) |
0.972827 | − | 0.231531i | \(-0.0743735\pi\) | |||||||
\(240\) | −2.42080e11 | − | 4.19295e11i | −4.70986 | − | 8.15772i | ||||
\(241\) | 2.56322e10 | + | 4.43962e10i | 0.489450 | + | 0.847753i | 0.999926 | − | 0.0121391i | \(-0.00386408\pi\) |
−0.510476 | + | 0.859892i | \(0.670531\pi\) | |||||||
\(242\) | 1.00796e11 | 1.88918 | ||||||||
\(243\) | 1.75296e10 | + | 3.03622e10i | 0.322510 | + | 0.558604i | ||||
\(244\) | −1.77704e10 | − | 3.07793e10i | −0.320955 | − | 0.555910i | ||||
\(245\) | −1.41395e10 | − | 2.44903e10i | −0.250719 | − | 0.434258i | ||||
\(246\) | −1.36895e11 | + | 2.37108e11i | −2.38330 | + | 4.12799i | ||||
\(247\) | 6.85923e9 | 0.117257 | ||||||||
\(248\) | −3.32345e9 | + | 5.75639e9i | −0.0557900 | + | 0.0966312i | ||||
\(249\) | −4.31953e10 | − | 7.48165e10i | −0.712097 | − | 1.23339i | ||||
\(250\) | 2.05602e11 | 3.32887 | ||||||||
\(251\) | −5.58542e10 | − | 9.67423e10i | −0.888227 | − | 1.53845i | −0.841969 | − | 0.539525i | \(-0.818604\pi\) |
−0.0462580 | − | 0.998930i | \(-0.514730\pi\) | |||||||
\(252\) | −1.50543e11 | + | 2.60749e11i | −2.35158 | + | 4.07305i | ||||
\(253\) | 1.43155e9 | − | 2.47953e9i | 0.0219667 | − | 0.0380475i | ||||
\(254\) | 3.72899e10 | 0.562134 | ||||||||
\(255\) | 2.95917e10 | − | 5.12544e10i | 0.438268 | − | 0.759102i | ||||
\(256\) | 3.08588e10 | 0.449055 | ||||||||
\(257\) | 9.43089e10 | 1.34851 | 0.674254 | − | 0.738500i | \(-0.264465\pi\) | ||||
0.674254 | + | 0.738500i | \(0.264465\pi\) | |||||||
\(258\) | −6.13668e10 | + | 2.31424e11i | −0.862272 | + | 3.25177i | ||||
\(259\) | 1.06922e10 | 0.147645 | ||||||||
\(260\) | −7.80969e10 | −1.05987 | ||||||||
\(261\) | 1.29850e11 | − | 2.24907e11i | 1.73205 | − | 2.99999i | ||||
\(262\) | 9.81827e10 | 1.28730 | ||||||||
\(263\) | 4.35081e10 | − | 7.53583e10i | 0.560750 | − | 0.971248i | −0.436681 | − | 0.899617i | \(-0.643846\pi\) |
0.997431 | − | 0.0716316i | \(-0.0228206\pi\) | |||||||
\(264\) | −5.13483e9 | + | 8.89378e9i | −0.0650591 | + | 0.112686i | ||||
\(265\) | 7.10684e9 | + | 1.23094e10i | 0.0885259 | + | 0.153331i | ||||
\(266\) | −6.43376e10 | −0.787948 | ||||||||
\(267\) | 6.63350e10 | + | 1.14896e11i | 0.798807 | + | 1.38357i | ||||
\(268\) | −2.03414e11 | + | 3.52324e11i | −2.40865 | + | 4.17191i | ||||
\(269\) | −1.22746e11 | −1.42929 | −0.714646 | − | 0.699486i | \(-0.753412\pi\) | ||||
−0.714646 | + | 0.699486i | \(0.753412\pi\) | |||||||
\(270\) | 2.97670e11 | − | 5.15579e11i | 3.40877 | − | 5.90416i | ||||
\(271\) | 6.92778e10 | + | 1.19993e11i | 0.780247 | + | 1.35143i | 0.931798 | + | 0.362978i | \(0.118240\pi\) |
−0.151551 | + | 0.988449i | \(0.548427\pi\) | |||||||
\(272\) | 3.90364e10 | + | 6.76131e10i | 0.432424 | + | 0.748981i | ||||
\(273\) | 1.63380e10 | + | 2.82983e10i | 0.178020 | + | 0.308339i | ||||
\(274\) | 5.27590e9 | 0.0565483 | ||||||||
\(275\) | −2.34822e9 | − | 4.06724e9i | −0.0247595 | − | 0.0428848i | ||||
\(276\) | −3.94496e11 | − | 6.83286e11i | −4.09215 | − | 7.08781i | ||||
\(277\) | −9.41544e10 | + | 1.63080e11i | −0.960907 | + | 1.66434i | −0.240677 | + | 0.970605i | \(0.577369\pi\) |
−0.720230 | + | 0.693735i | \(0.755964\pi\) | |||||||
\(278\) | 3.28314e10 | − | 5.68657e10i | 0.329677 | − | 0.571017i | ||||
\(279\) | −8.22926e9 | −0.0813096 | ||||||||
\(280\) | 4.47864e11 | 4.35446 | ||||||||
\(281\) | −4.35950e9 | + | 7.55087e9i | −0.0417117 | + | 0.0722468i | −0.886128 | − | 0.463441i | \(-0.846614\pi\) |
0.844416 | + | 0.535688i | \(0.179948\pi\) | |||||||
\(282\) | −8.21831e10 | + | 1.42345e11i | −0.773858 | + | 1.34036i | ||||
\(283\) | 6.78152e10 | + | 1.17459e11i | 0.628475 | + | 1.08855i | 0.987858 | + | 0.155361i | \(0.0496539\pi\) |
−0.359383 | + | 0.933190i | \(0.617013\pi\) | |||||||
\(284\) | 2.39253e11 | + | 4.14399e11i | 2.18235 | + | 3.77995i | ||||
\(285\) | 1.70101e11 | 1.52723 | ||||||||
\(286\) | 6.23688e8 | + | 1.08026e9i | 0.00551214 | + | 0.00954730i | ||||
\(287\) | −6.86692e10 | − | 1.18938e11i | −0.597438 | − | 1.03479i | ||||
\(288\) | 3.52827e11 | + | 6.11115e11i | 3.02201 | + | 5.23428i | ||||
\(289\) | 5.45221e10 | − | 9.44351e10i | 0.459761 | − | 0.796330i | ||||
\(290\) | −6.31834e11 | −5.24581 | ||||||||
\(291\) | 1.09948e11 | − | 1.90435e11i | 0.898811 | − | 1.55679i | ||||
\(292\) | −1.46109e11 | − | 2.53068e11i | −1.17612 | − | 2.03711i | ||||
\(293\) | −1.22821e11 | −0.973572 | −0.486786 | − | 0.873521i | \(-0.661831\pi\) | ||||
−0.486786 | + | 0.873521i | \(0.661831\pi\) | |||||||
\(294\) | 6.22346e10 | + | 1.07794e11i | 0.485813 | + | 0.841453i | ||||
\(295\) | −4.70925e10 | + | 8.15667e10i | −0.362037 | + | 0.627067i | ||||
\(296\) | 3.43844e10 | − | 5.95556e10i | 0.260345 | − | 0.450931i | ||||
\(297\) | −6.84778e9 | −0.0510676 | ||||||||
\(298\) | 1.44038e11 | − | 2.49481e11i | 1.05804 | − | 1.83258i | ||||
\(299\) | −5.85917e10 | −0.423951 | ||||||||
\(300\) | −1.29421e12 | −9.22482 | ||||||||
\(301\) | −8.51430e10 | − | 8.47023e10i | −0.597860 | − | 0.594766i | ||||
\(302\) | 2.24068e11 | 1.55006 | ||||||||
\(303\) | 2.35926e11 | 1.60799 | ||||||||
\(304\) | −1.12196e11 | + | 1.94329e11i | −0.753435 | + | 1.30499i | ||||
\(305\) | −6.54521e10 | −0.433086 | ||||||||
\(306\) | −8.91238e10 | + | 1.54367e11i | −0.581095 | + | 1.00649i | ||||
\(307\) | 1.40040e11 | − | 2.42557e11i | 0.899768 | − | 1.55844i | 0.0719769 | − | 0.997406i | \(-0.477069\pi\) |
0.827791 | − | 0.561037i | \(-0.189597\pi\) | |||||||
\(308\) | −4.21288e9 | − | 7.29691e9i | −0.0266748 | − | 0.0462020i | ||||
\(309\) | 2.89456e10 | 0.180622 | ||||||||
\(310\) | 1.00107e10 | + | 1.73390e10i | 0.0615652 | + | 0.106634i | ||||
\(311\) | 1.22443e11 | − | 2.12078e11i | 0.742186 | − | 1.28550i | −0.209313 | − | 0.977849i | \(-0.567123\pi\) |
0.951498 | − | 0.307654i | \(-0.0995440\pi\) | |||||||
\(312\) | 2.10162e11 | 1.25562 | ||||||||
\(313\) | −9.77401e10 | + | 1.69291e11i | −0.575603 | + | 0.996974i | 0.420373 | + | 0.907352i | \(0.361899\pi\) |
−0.995976 | + | 0.0896225i | \(0.971434\pi\) | |||||||
\(314\) | −4.47800e9 | − | 7.75613e9i | −0.0259957 | − | 0.0450258i | ||||
\(315\) | 2.77241e11 | + | 4.80196e11i | 1.58657 | + | 2.74803i | ||||
\(316\) | −1.18198e11 | − | 2.04724e11i | −0.666832 | − | 1.15499i | ||||
\(317\) | 2.02968e11 | 1.12892 | 0.564458 | − | 0.825462i | \(-0.309085\pi\) | ||||
0.564458 | + | 0.825462i | \(0.309085\pi\) | |||||||
\(318\) | −3.12805e10 | − | 5.41795e10i | −0.171535 | − | 0.297107i | ||||
\(319\) | 3.63378e9 | + | 6.29389e9i | 0.0196472 | + | 0.0340299i | ||||
\(320\) | 3.61996e11 | − | 6.26995e11i | 1.92987 | − | 3.34264i | ||||
\(321\) | 2.03834e11 | − | 3.53050e11i | 1.07153 | − | 1.85594i | ||||
\(322\) | 5.49574e11 | 2.84888 | ||||||||
\(323\) | −2.74296e10 | −0.140219 | ||||||||
\(324\) | −3.90404e11 | + | 6.76199e11i | −1.96816 | + | 3.40896i | ||||
\(325\) | −4.80549e10 | + | 8.32335e10i | −0.238925 | + | 0.413831i | ||||
\(326\) | 3.04709e10 | + | 5.27771e10i | 0.149419 | + | 0.258801i | ||||
\(327\) | 1.17885e10 | + | 2.04182e10i | 0.0570154 | + | 0.0987536i | ||||
\(328\) | −8.83315e11 | −4.21389 | ||||||||
\(329\) | −4.12247e10 | − | 7.14033e10i | −0.193989 | − | 0.335998i | ||||
\(330\) | 1.54668e10 | + | 2.67892e10i | 0.0717937 | + | 0.124350i | ||||
\(331\) | 4.12186e10 | + | 7.13928e10i | 0.188742 | + | 0.326910i | 0.944831 | − | 0.327558i | \(-0.106226\pi\) |
−0.756089 | + | 0.654468i | \(0.772892\pi\) | |||||||
\(332\) | 2.27936e11 | − | 3.94797e11i | 1.02966 | − | 1.78342i | ||||
\(333\) | 8.51400e10 | 0.379433 | ||||||||
\(334\) | 5.26562e10 | − | 9.12033e10i | 0.231521 | − | 0.401006i | ||||
\(335\) | 3.74608e11 | + | 6.48840e11i | 1.62508 | + | 2.81473i | ||||
\(336\) | −1.06896e12 | −4.57546 | ||||||||
\(337\) | −1.30129e10 | − | 2.25390e10i | −0.0549590 | − | 0.0951918i | 0.837237 | − | 0.546840i | \(-0.184169\pi\) |
−0.892196 | + | 0.451648i | \(0.850836\pi\) | |||||||
\(338\) | −2.14030e11 | + | 3.70711e11i | −0.891969 | + | 1.54494i | ||||
\(339\) | 9.54793e10 | − | 1.65375e11i | 0.392654 | − | 0.680098i | ||||
\(340\) | 3.12304e11 | 1.26742 | ||||||||
\(341\) | 1.15146e8 | − | 1.99438e8i | 0.000461162 | − | 0.000798756i | ||||
\(342\) | −5.12307e11 | −2.02494 | ||||||||
\(343\) | −2.78616e11 | −1.08688 | ||||||||
\(344\) | −7.45597e11 | + | 2.01857e11i | −2.87072 | + | 0.777196i | ||||
\(345\) | −1.45301e12 | −5.52182 | ||||||||
\(346\) | −2.61233e11 | −0.979909 | ||||||||
\(347\) | −1.66209e11 | + | 2.87882e11i | −0.615419 | + | 1.06594i | 0.374892 | + | 0.927068i | \(0.377680\pi\) |
−0.990311 | + | 0.138868i | \(0.955654\pi\) | |||||||
\(348\) | 2.00273e12 | 7.32008 | ||||||||
\(349\) | 2.45948e10 | − | 4.25995e10i | 0.0887421 | − | 0.153706i | −0.818238 | − | 0.574880i | \(-0.805049\pi\) |
0.906980 | + | 0.421174i | \(0.138382\pi\) | |||||||
\(350\) | 4.50741e11 | − | 7.80707e11i | 1.60554 | − | 2.78088i | ||||
\(351\) | 7.00677e10 | + | 1.21361e11i | 0.246397 | + | 0.426773i | ||||
\(352\) | −1.97474e10 | −0.0685594 | ||||||||
\(353\) | −1.83755e11 | − | 3.18273e11i | −0.629873 | − | 1.09097i | −0.987577 | − | 0.157137i | \(-0.949773\pi\) |
0.357703 | − | 0.933835i | \(-0.383560\pi\) | |||||||
\(354\) | 2.07276e11 | − | 3.59013e11i | 0.701512 | − | 1.21505i | ||||
\(355\) | 8.81218e11 | 2.94480 | ||||||||
\(356\) | −3.50041e11 | + | 6.06290e11i | −1.15503 | + | 2.00058i | ||||
\(357\) | −6.53347e10 | − | 1.13163e11i | −0.212881 | − | 0.368720i | ||||
\(358\) | 4.28100e11 | + | 7.41491e11i | 1.37744 | + | 2.38579i | ||||
\(359\) | 6.07837e10 | + | 1.05281e11i | 0.193136 | + | 0.334521i | 0.946288 | − | 0.323326i | \(-0.104801\pi\) |
−0.753152 | + | 0.657846i | \(0.771468\pi\) | |||||||
\(360\) | 3.56625e12 | 11.1905 | ||||||||
\(361\) | 1.21926e11 | + | 2.11182e11i | 0.377845 | + | 0.654446i | ||||
\(362\) | −1.64321e11 | − | 2.84612e11i | −0.502926 | − | 0.871094i | ||||
\(363\) | −2.94190e11 | + | 5.09551e11i | −0.889299 | + | 1.54031i | ||||
\(364\) | −8.62138e10 | + | 1.49327e11i | −0.257407 | + | 0.445842i | ||||
\(365\) | −5.38148e11 | −1.58703 | ||||||||
\(366\) | 2.88086e11 | 0.839183 | ||||||||
\(367\) | 2.41996e11 | − | 4.19149e11i | 0.696323 | − | 1.20607i | −0.273410 | − | 0.961898i | \(-0.588152\pi\) |
0.969733 | − | 0.244169i | \(-0.0785151\pi\) | |||||||
\(368\) | 9.58380e11 | − | 1.65996e12i | 2.72410 | − | 4.71828i | ||||
\(369\) | −5.46798e11 | − | 9.47083e11i | −1.53535 | − | 2.65931i | ||||
\(370\) | −1.03570e11 | − | 1.79389e11i | −0.287295 | − | 0.497609i | ||||
\(371\) | 3.13819e10 | 0.0859998 | ||||||||
\(372\) | −3.17309e10 | − | 5.49595e10i | −0.0859090 | − | 0.148799i | ||||
\(373\) | −2.17830e11 | − | 3.77293e11i | −0.582678 | − | 1.00923i | −0.995161 | − | 0.0982626i | \(-0.968671\pi\) |
0.412482 | − | 0.910966i | \(-0.364662\pi\) | |||||||
\(374\) | −2.49408e9 | − | 4.31988e9i | −0.00659157 | − | 0.0114169i | ||||
\(375\) | −6.00085e11 | + | 1.03938e12i | −1.56701 | + | 2.71414i | ||||
\(376\) | −5.30288e11 | −1.36825 | ||||||||
\(377\) | 7.43630e10 | − | 1.28800e11i | 0.189592 | − | 0.328383i | ||||
\(378\) | −6.57215e11 | − | 1.13833e12i | −1.65575 | − | 2.86784i | ||||
\(379\) | 2.04842e11 | 0.509968 | 0.254984 | − | 0.966945i | \(-0.417930\pi\) | ||||
0.254984 | + | 0.966945i | \(0.417930\pi\) | |||||||
\(380\) | 4.48801e11 | + | 7.77346e11i | 1.10415 | + | 1.91244i | ||||
\(381\) | −1.08837e11 | + | 1.88511e11i | −0.264615 | + | 0.458327i | ||||
\(382\) | −1.82072e11 | + | 3.15357e11i | −0.437479 | + | 0.757736i | ||||
\(383\) | −2.41990e11 | −0.574650 | −0.287325 | − | 0.957833i | \(-0.592766\pi\) | ||||
−0.287325 | + | 0.957833i | \(0.592766\pi\) | |||||||
\(384\) | −5.35959e11 | + | 9.28309e11i | −1.25789 | + | 2.17872i | ||||
\(385\) | −1.55169e10 | −0.0359941 | ||||||||
\(386\) | 8.62178e11 | 1.97676 | ||||||||
\(387\) | −6.77976e11 | − | 6.74467e11i | −1.53644 | − | 1.52849i | ||||
\(388\) | 1.16036e12 | 2.59927 | ||||||||
\(389\) | −2.00511e11 | −0.443982 | −0.221991 | − | 0.975049i | \(-0.571256\pi\) | ||||
−0.221991 | + | 0.975049i | \(0.571256\pi\) | |||||||
\(390\) | 3.16517e11 | − | 5.48224e11i | 0.692798 | − | 1.19996i | ||||
\(391\) | 2.34304e11 | 0.506972 | ||||||||
\(392\) | −2.00785e11 | + | 3.47770e11i | −0.429481 | + | 0.743883i | ||||
\(393\) | −2.86563e11 | + | 4.96342e11i | −0.605974 | + | 1.04958i | ||||
\(394\) | 1.37873e11 | + | 2.38803e11i | 0.288235 | + | 0.499237i | ||||
\(395\) | −4.35346e11 | −0.899803 | ||||||||
\(396\) | −3.35463e10 | − | 5.81038e10i | −0.0685513 | − | 0.118734i | ||||
\(397\) | −3.61977e11 | + | 6.26962e11i | −0.731347 | + | 1.26673i | 0.224961 | + | 0.974368i | \(0.427774\pi\) |
−0.956308 | + | 0.292362i | \(0.905559\pi\) | |||||||
\(398\) | −1.55724e11 | −0.311087 | ||||||||
\(399\) | 1.87780e11 | − | 3.25245e11i | 0.370913 | − | 0.642440i | ||||
\(400\) | −1.57206e12 | − | 2.72289e12i | −3.07043 | − | 5.31814i | ||||
\(401\) | −1.82157e10 | − | 3.15505e10i | −0.0351800 | − | 0.0609336i | 0.847899 | − | 0.530157i | \(-0.177867\pi\) |
−0.883079 | + | 0.469224i | \(0.844534\pi\) | |||||||
\(402\) | −1.64883e12 | − | 2.85585e12i | −3.14889 | − | 5.45404i | ||||
\(403\) | −4.71277e9 | −0.00890027 | ||||||||
\(404\) | 6.22476e11 | + | 1.07816e12i | 1.16254 | + | 2.01357i | ||||
\(405\) | 7.18968e11 | + | 1.24529e12i | 1.32789 | + | 2.29997i | ||||
\(406\) | −6.97504e11 | + | 1.20811e12i | −1.27403 | + | 2.20668i | ||||
\(407\) | −1.19130e9 | + | 2.06339e9i | −0.00215202 | + | 0.00372740i | ||||
\(408\) | −8.40422e11 | −1.50150 | ||||||||
\(409\) | −5.75787e11 | −1.01744 | −0.508718 | − | 0.860933i | \(-0.669880\pi\) | ||||
−0.508718 | + | 0.860933i | \(0.669880\pi\) | |||||||
\(410\) | −1.33033e12 | + | 2.30420e12i | −2.32505 | + | 4.02710i | ||||
\(411\) | −1.53986e10 | + | 2.66712e10i | −0.0266191 | + | 0.0461057i | ||||
\(412\) | 7.63712e10 | + | 1.32279e11i | 0.130585 | + | 0.226179i | ||||
\(413\) | 1.03974e11 | + | 1.80088e11i | 0.175853 | + | 0.304587i | ||||
\(414\) | 4.37614e12 | 7.32133 | ||||||||
\(415\) | −4.19768e11 | − | 7.27059e11i | −0.694693 | − | 1.20324i | ||||
\(416\) | 2.02059e11 | + | 3.49976e11i | 0.330794 | + | 0.572952i | ||||
\(417\) | 1.91648e11 | + | 3.31945e11i | 0.310379 | + | 0.537593i | ||||
\(418\) | 7.16832e9 | − | 1.24159e10i | 0.0114848 | − | 0.0198923i | ||||
\(419\) | 1.06917e12 | 1.69466 | 0.847330 | − | 0.531067i | \(-0.178209\pi\) | ||||
0.847330 | + | 0.531067i | \(0.178209\pi\) | |||||||
\(420\) | −2.13800e12 | + | 3.70313e12i | −3.35264 | + | 5.80694i | ||||
\(421\) | 2.32921e11 | + | 4.03431e11i | 0.361359 | + | 0.625893i | 0.988185 | − | 0.153267i | \(-0.0489795\pi\) |
−0.626826 | + | 0.779160i | \(0.715646\pi\) | |||||||
\(422\) | 1.64857e12 | 2.53048 | ||||||||
\(423\) | −3.28264e11 | − | 5.68570e11i | −0.498531 | − | 0.863480i | ||||
\(424\) | 1.00919e11 | − | 1.74797e11i | 0.151645 | − | 0.262656i | ||||
\(425\) | 1.92168e11 | − | 3.32845e11i | 0.285714 | − | 0.494871i | ||||
\(426\) | −3.87866e12 | −5.70608 | ||||||||
\(427\) | −7.22549e10 | + | 1.25149e11i | −0.105182 | + | 0.182181i | ||||
\(428\) | 2.15121e12 | 3.09875 | ||||||||
\(429\) | −7.28136e9 | −0.0103790 | ||||||||
\(430\) | −5.96356e11 | + | 2.24896e12i | −0.841197 | + | 3.17229i | ||||
\(431\) | −7.28646e11 | −1.01711 | −0.508556 | − | 0.861029i | \(-0.669820\pi\) | ||||
−0.508556 | + | 0.861029i | \(0.669820\pi\) | |||||||
\(432\) | −4.58437e12 | −6.33290 | ||||||||
\(433\) | 2.23749e11 | − | 3.87544e11i | 0.305890 | − | 0.529817i | −0.671569 | − | 0.740942i | \(-0.734379\pi\) |
0.977459 | + | 0.211125i | \(0.0677127\pi\) | |||||||
\(434\) | 4.42044e10 | 0.0598084 | ||||||||
\(435\) | 1.84412e12 | − | 3.19411e12i | 2.46937 | − | 4.27708i | ||||
\(436\) | −6.22062e10 | + | 1.07744e11i | −0.0824413 | + | 0.142792i | ||||
\(437\) | 3.36710e11 | + | 5.83199e11i | 0.441662 | + | 0.764981i | ||||
\(438\) | 2.36864e12 | 3.07515 | ||||||||
\(439\) | −4.73790e11 | − | 8.20628e11i | −0.608829 | − | 1.05452i | −0.991434 | − | 0.130610i | \(-0.958306\pi\) |
0.382605 | − | 0.923912i | \(-0.375027\pi\) | |||||||
\(440\) | −4.98998e10 | + | 8.64289e10i | −0.0634690 | + | 0.109931i | ||||
\(441\) | −4.97168e11 | −0.625935 | ||||||||
\(442\) | −5.10398e10 | + | 8.84035e10i | −0.0636076 | + | 0.110172i | ||||
\(443\) | 2.27339e11 | + | 3.93763e11i | 0.280451 | + | 0.485756i | 0.971496 | − | 0.237056i | \(-0.0761826\pi\) |
−0.691045 | + | 0.722812i | \(0.742849\pi\) | |||||||
\(444\) | 3.28288e11 | + | 5.68611e11i | 0.400896 | + | 0.694372i | ||||
\(445\) | 6.44637e11 | + | 1.11654e12i | 0.779283 | + | 1.34976i | ||||
\(446\) | −8.19514e11 | −0.980730 | ||||||||
\(447\) | 8.40798e11 | + | 1.45631e12i | 0.996112 | + | 1.72532i | ||||
\(448\) | −7.99239e11 | − | 1.38432e12i | −0.937402 | − | 1.62363i | ||||
\(449\) | −7.26566e11 | + | 1.25845e12i | −0.843658 | + | 1.46126i | 0.0431233 | + | 0.999070i | \(0.486269\pi\) |
−0.886781 | + | 0.462189i | \(0.847064\pi\) | |||||||
\(450\) | 3.58916e12 | − | 6.21661e12i | 4.12607 | − | 7.14656i | ||||
\(451\) | 3.06037e10 | 0.0348321 | ||||||||
\(452\) | 1.00766e12 | 1.13552 | ||||||||
\(453\) | −6.53980e11 | + | 1.13273e12i | −0.729664 | + | 1.26381i | ||||
\(454\) | 2.06579e11 | − | 3.57805e11i | 0.228210 | − | 0.395271i | ||||
\(455\) | 1.58772e11 | + | 2.75000e11i | 0.173669 | + | 0.300803i | ||||
\(456\) | −1.20774e12 | − | 2.09187e12i | −1.30807 | − | 2.26565i | ||||
\(457\) | −1.14496e12 | −1.22791 | −0.613954 | − | 0.789342i | \(-0.710422\pi\) | ||||
−0.613954 | + | 0.789342i | \(0.710422\pi\) | |||||||
\(458\) | 2.20290e10 | + | 3.81554e10i | 0.0233938 | + | 0.0405192i | ||||
\(459\) | −2.80196e11 | − | 4.85313e11i | −0.294649 | − | 0.510346i | ||||
\(460\) | −3.83367e12 | − | 6.64011e12i | −3.99213 | − | 6.91457i | ||||
\(461\) | −5.73707e10 | + | 9.93690e10i | −0.0591611 | + | 0.102470i | −0.894089 | − | 0.447889i | \(-0.852176\pi\) |
0.834928 | + | 0.550359i | \(0.185509\pi\) | |||||||
\(462\) | 6.82971e10 | 0.0697451 | ||||||||
\(463\) | 2.94570e11 | − | 5.10210e11i | 0.297902 | − | 0.515982i | −0.677754 | − | 0.735289i | \(-0.737046\pi\) |
0.975656 | + | 0.219307i | \(0.0703798\pi\) | |||||||
\(464\) | 2.43270e12 | + | 4.21356e12i | 2.43645 | + | 4.22006i | ||||
\(465\) | −1.16871e11 | −0.115923 | ||||||||
\(466\) | −3.13788e11 | − | 5.43497e11i | −0.308248 | − | 0.533901i | ||||
\(467\) | 4.64153e11 | − | 8.03936e11i | 0.451580 | − | 0.782160i | −0.546904 | − | 0.837195i | \(-0.684194\pi\) |
0.998484 | + | 0.0550353i | \(0.0175271\pi\) | |||||||
\(468\) | −6.86503e11 | + | 1.18906e12i | −0.661509 | + | 1.14577i | ||||
\(469\) | 1.65417e12 | 1.57871 | ||||||||
\(470\) | −7.98648e11 | + | 1.38330e12i | −0.754944 | + | 1.30760i | ||||
\(471\) | 5.22793e10 | 0.0489481 | ||||||||
\(472\) | 1.33746e12 | 1.24034 | ||||||||
\(473\) | 2.58323e10 | − | 6.99362e9i | 0.0237294 | − | 0.00642432i | ||||
\(474\) | 1.91616e12 | 1.74353 | ||||||||
\(475\) | 1.10463e12 | 0.995627 | ||||||||
\(476\) | 3.44763e11 | − | 5.97147e11i | 0.307815 | − | 0.533150i | ||||
\(477\) | 2.49888e11 | 0.221010 | ||||||||
\(478\) | −1.48208e12 | + | 2.56703e12i | −1.29851 | + | 2.24909i | ||||
\(479\) | −4.06020e10 | + | 7.03247e10i | −0.0352401 | + | 0.0610377i | −0.883108 | − | 0.469171i | \(-0.844553\pi\) |
0.847867 | + | 0.530208i | \(0.177886\pi\) | |||||||
\(480\) | 5.01083e12 | + | 8.67900e12i | 4.30848 | + | 7.46250i | ||||
\(481\) | 4.87583e10 | 0.0415332 | ||||||||
\(482\) | −1.09637e12 | − | 1.89896e12i | −0.925218 | − | 1.60253i | ||||
\(483\) | −1.60403e12 | + | 2.77825e12i | −1.34106 | + | 2.32279i | ||||
\(484\) | −3.10480e12 | −2.57176 | ||||||||
\(485\) | 1.06846e12 | − | 1.85063e12i | 0.876843 | − | 1.51874i | ||||
\(486\) | −7.49795e11 | − | 1.29868e12i | −0.609648 | − | 1.05594i | ||||
\(487\) | −7.52013e11 | − | 1.30253e12i | −0.605822 | − | 1.04931i | −0.991921 | − | 0.126857i | \(-0.959511\pi\) |
0.386099 | − | 0.922457i | \(-0.373822\pi\) | |||||||
\(488\) | 4.64720e11 | + | 8.04918e11i | 0.370938 | + | 0.642484i | ||||
\(489\) | −3.55738e11 | −0.281346 | ||||||||
\(490\) | 6.04790e11 | + | 1.04753e12i | 0.473939 | + | 0.820886i | ||||
\(491\) | −7.95575e11 | − | 1.37798e12i | −0.617753 | − | 1.06998i | −0.989895 | − | 0.141803i | \(-0.954710\pi\) |
0.372142 | − | 0.928176i | \(-0.378623\pi\) | |||||||
\(492\) | 4.21676e12 | − | 7.30363e12i | 3.24441 | − | 5.61948i | ||||
\(493\) | −2.97372e11 | + | 5.15064e11i | −0.226720 | + | 0.392690i | ||||
\(494\) | −2.93390e11 | −0.221653 | ||||||||
\(495\) | −1.23558e11 | −0.0925011 | ||||||||
\(496\) | 7.70864e10 | − | 1.33518e11i | 0.0571887 | − | 0.0990538i | ||||
\(497\) | 9.72807e11 | − | 1.68495e12i | 0.715193 | − | 1.23875i | ||||
\(498\) | 1.84760e12 | + | 3.20013e12i | 1.34609 | + | 2.33150i | ||||
\(499\) | 7.57373e11 | + | 1.31181e12i | 0.546837 | + | 0.947149i | 0.998489 | + | 0.0549547i | \(0.0175014\pi\) |
−0.451652 | + | 0.892194i | \(0.649165\pi\) | |||||||
\(500\) | −6.33314e12 | −4.53163 | ||||||||
\(501\) | 3.07373e11 | + | 5.32385e11i | 0.217969 | + | 0.377534i | ||||
\(502\) | 2.38906e12 | + | 4.13797e12i | 1.67903 | + | 2.90817i | ||||
\(503\) | −8.94770e9 | − | 1.54979e10i | −0.00623240 | − | 0.0107948i | 0.862892 | − | 0.505388i | \(-0.168651\pi\) |
−0.869125 | + | 0.494593i | \(0.835317\pi\) | |||||||
\(504\) | 3.93690e12 | − | 6.81892e12i | 2.71780 | − | 4.70737i | ||||
\(505\) | 2.29271e12 | 1.56869 | ||||||||
\(506\) | −6.12320e10 | + | 1.06057e11i | −0.0415242 | + | 0.0719220i | ||||
\(507\) | −1.24937e12 | − | 2.16397e12i | −0.839759 | − | 1.45450i | ||||
\(508\) | −1.14864e12 | −0.765239 | ||||||||
\(509\) | −4.28798e11 | − | 7.42699e11i | −0.283154 | − | 0.490437i | 0.689006 | − | 0.724756i | \(-0.258047\pi\) |
−0.972160 | + | 0.234319i | \(0.924714\pi\) | |||||||
\(510\) | −1.26573e12 | + | 2.19231e12i | −0.828467 | + | 1.43495i | ||||
\(511\) | −5.94080e11 | + | 1.02898e12i | −0.385435 | + | 0.667593i | ||||
\(512\) | 8.78166e11 | 0.564757 | ||||||||
\(513\) | 8.05319e11 | − | 1.39485e12i | 0.513381 | − | 0.889202i | ||||
\(514\) | −4.03388e12 | −2.54911 | ||||||||
\(515\) | 2.81291e11 | 0.176207 | ||||||||
\(516\) | 1.89028e12 | − | 7.12854e12i | 1.17382 | − | 4.42667i | ||||
\(517\) | 1.83726e10 | 0.0113100 | ||||||||
\(518\) | −4.57339e11 | −0.279097 | ||||||||
\(519\) | 7.62454e11 | − | 1.32061e12i | 0.461276 | − | 0.798953i | ||||
\(520\) | 2.04233e12 | 1.22493 | ||||||||
\(521\) | −1.35448e11 | + | 2.34603e11i | −0.0805383 | + | 0.139496i | −0.903481 | − | 0.428628i | \(-0.858997\pi\) |
0.822943 | + | 0.568124i | \(0.192331\pi\) | |||||||
\(522\) | −5.55408e12 | + | 9.61995e12i | −3.27412 | + | 5.67095i | ||||
\(523\) | 1.33471e12 | + | 2.31178e12i | 0.780062 | + | 1.35111i | 0.931905 | + | 0.362702i | \(0.118146\pi\) |
−0.151843 | + | 0.988405i | \(0.548521\pi\) | |||||||
\(524\) | −3.02432e12 | −1.75241 | ||||||||
\(525\) | 2.63113e12 | + | 4.55725e12i | 1.51156 | + | 2.61810i | ||||
\(526\) | −1.86098e12 | + | 3.22331e12i | −1.06000 | + | 1.83597i | ||||
\(527\) | 1.88460e10 | 0.0106432 | ||||||||
\(528\) | 1.19101e11 | − | 2.06288e11i | 0.0666901 | − | 0.115511i | ||||
\(529\) | −1.97561e12 | − | 3.42186e12i | −1.09686 | − | 1.89982i | ||||
\(530\) | −3.03981e11 | − | 5.26511e11i | −0.167342 | − | 0.289845i | ||||
\(531\) | 8.27925e11 | + | 1.43401e12i | 0.451924 | + | 0.782756i | ||||
\(532\) | 1.98179e12 | 1.07264 | ||||||||
\(533\) | −3.13143e11 | − | 5.42379e11i | −0.168062 | − | 0.291092i | ||||
\(534\) | −2.83735e12 | − | 4.91444e12i | −1.51000 | − | 2.61540i | ||||
\(535\) | 1.98084e12 | − | 3.43091e12i | 1.04534 | − | 1.81058i | ||||
\(536\) | 5.31954e12 | − | 9.21372e12i | 2.78377 | − | 4.82162i | ||||
\(537\) | −4.99794e12 | −2.59362 | ||||||||
\(538\) | 5.25021e12 | 2.70182 | ||||||||
\(539\) | 6.95649e9 | − | 1.20490e10i | 0.00355010 | − | 0.00614895i | ||||
\(540\) | −9.16910e12 | + | 1.58813e13i | −4.64039 | + | 8.03739i | ||||
\(541\) | 1.14364e12 | + | 1.98084e12i | 0.573987 | + | 0.994174i | 0.996151 | + | 0.0876546i | \(0.0279372\pi\) |
−0.422164 | + | 0.906519i | \(0.638729\pi\) | |||||||
\(542\) | −2.96322e12 | − | 5.13245e12i | −1.47492 | − | 2.55463i | ||||
\(543\) | 1.91839e12 | 0.946976 | ||||||||
\(544\) | −8.08018e11 | − | 1.39953e12i | −0.395572 | − | 0.685151i | ||||
\(545\) | 1.14559e11 | + | 1.98422e11i | 0.0556219 | + | 0.0963399i | ||||
\(546\) | −6.98828e11 | − | 1.21041e12i | −0.336514 | − | 0.582860i | ||||
\(547\) | −4.19136e11 | + | 7.25965e11i | −0.200176 | + | 0.346715i | −0.948585 | − | 0.316522i | \(-0.897485\pi\) |
0.748409 | + | 0.663238i | \(0.230818\pi\) | |||||||
\(548\) | −1.62513e11 | −0.0769797 | ||||||||
\(549\) | −5.75351e11 | + | 9.96537e11i | −0.270307 | + | 0.468185i | ||||
\(550\) | 1.00441e11 | + | 1.73968e11i | 0.0468034 | + | 0.0810659i | ||||
\(551\) | −1.70937e12 | −0.790050 | ||||||||
\(552\) | 1.03166e13 | + | 1.78688e13i | 4.72944 | + | 8.19162i | ||||
\(553\) | −4.80593e11 | + | 8.32412e11i | −0.218532 | + | 0.378508i | ||||
\(554\) | 4.02727e12 | − | 6.97544e12i | 1.81642 | − | 3.14614i | ||||
\(555\) | 1.20915e12 | 0.540956 | ||||||||
\(556\) | −1.01130e12 | + | 1.75163e12i | −0.448792 | + | 0.777331i | ||||
\(557\) | −9.92043e11 | −0.436699 | −0.218349 | − | 0.975871i | \(-0.570067\pi\) | ||||
−0.218349 | + | 0.975871i | \(0.570067\pi\) | |||||||
\(558\) | 3.51991e11 | 0.153701 | ||||||||
\(559\) | −3.88266e11 | − | 3.86256e11i | −0.168181 | − | 0.167310i | ||||
\(560\) | −1.03881e13 | −4.46363 | ||||||||
\(561\) | 2.91176e10 | 0.0124115 | ||||||||
\(562\) | 1.86469e11 | − | 3.22974e11i | 0.0788485 | − | 0.136570i | ||||
\(563\) | 3.07182e12 | 1.28857 | 0.644285 | − | 0.764785i | \(-0.277155\pi\) | ||||
0.644285 | + | 0.764785i | \(0.277155\pi\) | |||||||
\(564\) | 2.53148e12 | − | 4.38465e12i | 1.05346 | − | 1.82465i | ||||
\(565\) | 9.27859e11 | − | 1.60710e12i | 0.383057 | − | 0.663475i | ||||
\(566\) | −2.90066e12 | − | 5.02410e12i | −1.18802 | − | 2.05771i | ||||
\(567\) | 3.17477e12 | 1.29000 | ||||||||
\(568\) | −6.25678e12 | − | 1.08371e13i | −2.52222 | − | 4.36861i | ||||
\(569\) | 1.14227e12 | − | 1.97847e12i | 0.456840 | − | 0.791270i | −0.541952 | − | 0.840410i | \(-0.682314\pi\) |
0.998792 | + | 0.0491392i | \(0.0156478\pi\) | |||||||
\(570\) | −7.27575e12 | −2.88696 | ||||||||
\(571\) | 3.69265e10 | − | 6.39586e10i | 0.0145370 | − | 0.0251789i | −0.858665 | − | 0.512537i | \(-0.828706\pi\) |
0.873202 | + | 0.487358i | \(0.162039\pi\) | |||||||
\(572\) | −1.92114e10 | − | 3.32751e10i | −0.00750373 | − | 0.0129968i | ||||
\(573\) | −1.06281e12 | − | 1.84085e12i | −0.411871 | − | 0.713382i | ||||
\(574\) | 2.93719e12 | + | 5.08736e12i | 1.12935 | + | 1.95609i | ||||
\(575\) | −9.43580e12 | −3.59976 | ||||||||
\(576\) | −6.36418e12 | − | 1.10231e13i | −2.40902 | − | 4.17255i | ||||
\(577\) | −2.58764e11 | − | 4.48192e11i | −0.0971879 | − | 0.168334i | 0.813332 | − | 0.581800i | \(-0.197651\pi\) |
−0.910520 | + | 0.413466i | \(0.864318\pi\) | |||||||
\(578\) | −2.33208e12 | + | 4.03928e12i | −0.869097 | + | 1.50532i | ||||
\(579\) | −2.51641e12 | + | 4.35856e12i | −0.930526 | + | 1.61172i | ||||
\(580\) | 1.94624e13 | 7.14117 | ||||||||
\(581\) | −1.85358e12 | −0.674870 | ||||||||
\(582\) | −4.70281e12 | + | 8.14550e12i | −1.69904 | + | 2.94283i | ||||
\(583\) | −3.49649e9 | + | 6.05610e9i | −0.00125350 | + | 0.00217112i | ||||
\(584\) | 3.82093e12 | + | 6.61805e12i | 1.35929 | + | 2.35436i | ||||
\(585\) | 1.26427e12 | + | 2.18977e12i | 0.446310 | + | 0.773032i | ||||
\(586\) | 5.25343e12 | 1.84036 | ||||||||
\(587\) | 3.59480e10 | + | 6.22637e10i | 0.0124969 | + | 0.0216453i | 0.872206 | − | 0.489138i | \(-0.162689\pi\) |
−0.859709 | + | 0.510784i | \(0.829355\pi\) | |||||||
\(588\) | −1.91701e12 | − | 3.32036e12i | −0.661342 | − | 1.14548i | ||||
\(589\) | 2.70830e10 | + | 4.69091e10i | 0.00927209 | + | 0.0160597i | ||||
\(590\) | 2.01429e12 | − | 3.48886e12i | 0.684366 | − | 1.18536i | ||||
\(591\) | −1.60962e12 | −0.542726 | ||||||||
\(592\) | −7.97537e11 | + | 1.38137e12i | −0.266872 | + | 0.462236i | ||||
\(593\) | −1.74425e12 | − | 3.02114e12i | −0.579247 | − | 1.00328i | −0.995566 | − | 0.0940662i | \(-0.970013\pi\) |
0.416319 | − | 0.909218i | \(-0.363320\pi\) | |||||||
\(594\) | 2.92901e11 | 0.0965342 | ||||||||
\(595\) | −6.34916e11 | − | 1.09971e12i | −0.207678 | − | 0.359708i | ||||
\(596\) | −4.43679e12 | + | 7.68474e12i | −1.44033 | + | 2.49472i | ||||
\(597\) | 4.54508e11 | − | 7.87230e11i | 0.146439 | − | 0.253640i | ||||
\(598\) | 2.50615e12 | 0.801404 | ||||||||
\(599\) | 3.52018e11 | − | 6.09713e11i | 0.111723 | − | 0.193511i | −0.804742 | − | 0.593625i | \(-0.797696\pi\) |
0.916465 | + | 0.400114i | \(0.131030\pi\) | |||||||
\(600\) | 3.38452e13 | 10.6614 | ||||||||
\(601\) | 5.89374e12 | 1.84270 | 0.921352 | − | 0.388729i | \(-0.127086\pi\) | ||||
0.921352 | + | 0.388729i | \(0.127086\pi\) | |||||||
\(602\) | 3.64183e12 | + | 3.62298e12i | 1.13015 | + | 1.12430i | ||||
\(603\) | 1.31718e13 | 4.05712 | ||||||||
\(604\) | −6.90194e12 | −2.11011 | ||||||||
\(605\) | −2.85891e12 | + | 4.95177e12i | −0.867563 | + | 1.50266i | ||||
\(606\) | −1.00913e13 | −3.03962 | ||||||||
\(607\) | 4.95821e11 | − | 8.58787e11i | 0.148243 | − | 0.256765i | −0.782335 | − | 0.622858i | \(-0.785971\pi\) |
0.930578 | + | 0.366093i | \(0.119305\pi\) | |||||||
\(608\) | 2.32235e12 | − | 4.02243e12i | 0.689226 | − | 1.19377i | ||||
\(609\) | −4.07157e12 | − | 7.05216e12i | −1.19946 | − | 2.07752i | ||||
\(610\) | 2.79959e12 | 0.818672 | ||||||||
\(611\) | −1.87992e11 | − | 3.25611e11i | −0.0545699 | − | 0.0945178i | ||||
\(612\) | 2.74528e12 | − | 4.75496e12i | 0.791051 | − | 1.37014i | ||||
\(613\) | −2.62107e12 | −0.749733 | −0.374866 | − | 0.927079i | \(-0.622311\pi\) | ||||
−0.374866 | + | 0.927079i | \(0.622311\pi\) | |||||||
\(614\) | −5.98996e12 | + | 1.03749e13i | −1.70085 | + | 2.94596i | ||||
\(615\) | −7.76559e12 | − | 1.34504e13i | −2.18895 | − | 3.79138i | ||||
\(616\) | 1.10172e11 | + | 1.90824e11i | 0.0308289 | + | 0.0533973i | ||||
\(617\) | 2.62871e12 | + | 4.55306e12i | 0.730229 | + | 1.26479i | 0.956785 | + | 0.290796i | \(0.0939200\pi\) |
−0.226556 | + | 0.973998i | \(0.572747\pi\) | |||||||
\(618\) | −1.23809e12 | −0.341433 | ||||||||
\(619\) | 2.66072e12 | + | 4.60849e12i | 0.728434 | + | 1.26169i | 0.957545 | + | 0.288285i | \(0.0930850\pi\) |
−0.229110 | + | 0.973400i | \(0.573582\pi\) | |||||||
\(620\) | −3.08358e11 | − | 5.34091e11i | −0.0838093 | − | 0.145162i | ||||
\(621\) | −6.87906e12 | + | 1.19149e13i | −1.85617 | + | 3.21497i | ||||
\(622\) | −5.23727e12 | + | 9.07121e12i | −1.40297 | + | 2.43001i | ||||
\(623\) | 2.84655e12 | 0.757046 | ||||||||
\(624\) | −4.87464e12 | −1.28710 | ||||||||
\(625\) | −1.98959e12 | + | 3.44607e12i | −0.521558 | + | 0.903366i | ||||
\(626\) | 4.18065e12 | − | 7.24109e12i | 1.08807 | − | 1.88460i | ||||
\(627\) | 4.18440e10 | + | 7.24759e10i | 0.0108126 | + | 0.0187279i | ||||
\(628\) | 1.37936e11 | + | 2.38912e11i | 0.0353882 | + | 0.0612941i | ||||
\(629\) | −1.94981e11 | −0.0496666 | ||||||||
\(630\) | −1.18585e13 | − | 2.05394e13i | −2.99913 | − | 5.19465i | ||||
\(631\) | −2.60288e12 | − | 4.50832e12i | −0.653615 | − | 1.13209i | −0.982239 | − | 0.187634i | \(-0.939918\pi\) |
0.328624 | − | 0.944461i | \(-0.393415\pi\) | |||||||
\(632\) | 3.09102e12 | + | 5.35380e12i | 0.770681 | + | 1.33486i | ||||
\(633\) | −4.81165e12 | + | 8.33402e12i | −1.19118 | + | 2.06318i | ||||
\(634\) | −8.68158e12 | −2.13401 | ||||||||
\(635\) | −1.05767e12 | + | 1.83194e12i | −0.258147 | + | 0.447125i | ||||
\(636\) | 9.63533e11 | + | 1.66889e12i | 0.233512 | + | 0.404455i | ||||
\(637\) | −2.84720e11 | −0.0685158 | ||||||||
\(638\) | −1.55428e11 | − | 2.69209e11i | −0.0371395 | − | 0.0643275i | ||||
\(639\) | 7.74626e12 | − | 1.34169e13i | 1.83797 | − | 3.18346i | ||||
\(640\) | −5.20840e12 | + | 9.02122e12i | −1.22714 | + | 2.12547i | ||||
\(641\) | 9.45034e11 | 0.221099 | 0.110549 | − | 0.993871i | \(-0.464739\pi\) | ||||
0.110549 | + | 0.993871i | \(0.464739\pi\) | |||||||
\(642\) | −8.71860e12 | + | 1.51011e13i | −2.02553 | + | 3.50832i | ||||
\(643\) | −3.22035e12 | −0.742940 | −0.371470 | − | 0.928445i | \(-0.621146\pi\) | ||||
−0.371470 | + | 0.928445i | \(0.621146\pi\) | |||||||
\(644\) | −1.69285e13 | −3.87821 | ||||||||
\(645\) | −9.62856e12 | − | 9.57872e12i | −2.19050 | − | 2.17916i | ||||
\(646\) | 1.17325e12 | 0.265059 | ||||||||
\(647\) | 5.96250e12 | 1.33770 | 0.668851 | − | 0.743396i | \(-0.266786\pi\) | ||||
0.668851 | + | 0.743396i | \(0.266786\pi\) | |||||||
\(648\) | 1.02096e13 | − | 1.76835e13i | 2.27467 | − | 3.93985i | ||||
\(649\) | −4.63381e10 | −0.0102527 | ||||||||
\(650\) | 2.05546e12 | − | 3.56015e12i | 0.451646 | − | 0.782273i | ||||
\(651\) | −1.29018e11 | + | 2.23466e11i | −0.0281538 | + | 0.0487638i | ||||
\(652\) | −9.38592e11 | − | 1.62569e12i | −0.203406 | − | 0.352309i | ||||
\(653\) | 4.31706e12 | 0.929136 | 0.464568 | − | 0.885537i | \(-0.346210\pi\) | ||||
0.464568 | + | 0.885537i | \(0.346210\pi\) | |||||||
\(654\) | −5.04229e11 | − | 8.73350e11i | −0.107777 | − | 0.186676i | ||||
\(655\) | −2.78479e12 | + | 4.82340e12i | −0.591163 | + | 1.02392i | ||||
\(656\) | 2.04882e13 | 4.31953 | ||||||||
\(657\) | −4.73054e12 | + | 8.19354e12i | −0.990528 | + | 1.71564i | ||||
\(658\) | 1.76331e12 | + | 3.05414e12i | 0.366701 | + | 0.635144i | ||||
\(659\) | −3.88514e12 | − | 6.72926e12i | −0.802458 | − | 1.38990i | −0.917994 | − | 0.396595i | \(-0.870192\pi\) |
0.115536 | − | 0.993303i | \(-0.463141\pi\) | |||||||
\(660\) | −4.76421e11 | − | 8.25186e11i | −0.0977335 | − | 0.169279i | ||||
\(661\) | 5.93519e12 | 1.20928 | 0.604642 | − | 0.796497i | \(-0.293316\pi\) | ||||
0.604642 | + | 0.796497i | \(0.293316\pi\) | |||||||
\(662\) | −1.76305e12 | − | 3.05369e12i | −0.356782 | − | 0.617965i | ||||
\(663\) | −2.97937e11 | − | 5.16042e11i | −0.0598844 | − | 0.103723i | ||||
\(664\) | −5.96082e12 | + | 1.03245e13i | −1.19001 | + | 2.06115i | ||||
\(665\) | 1.82483e12 | − | 3.16070e12i | 0.361847 | − | 0.626738i | ||||
\(666\) | −3.64170e12 | −0.717249 | ||||||||
\(667\) | 1.46015e13 | 2.85648 | ||||||||
\(668\) | −1.62197e12 | + | 2.80933e12i | −0.315172 | + | 0.545894i | ||||
\(669\) | 2.39189e12 | − | 4.14288e12i | 0.461662 | − | 0.799622i | ||||
\(670\) | −1.60231e13 | − | 2.77529e13i | −3.07193 | − | 5.32074i | ||||
\(671\) | −1.61009e10 | − | 2.78875e10i | −0.00306618 | − | 0.00531079i | ||||
\(672\) | 2.21265e13 | 4.18553 | ||||||||
\(673\) | 3.93475e12 | + | 6.81519e12i | 0.739349 | + | 1.28059i | 0.952789 | + | 0.303634i | \(0.0982000\pi\) |
−0.213440 | + | 0.976956i | \(0.568467\pi\) | |||||||
\(674\) | 5.56601e11 | + | 9.64061e11i | 0.103890 | + | 0.179943i | ||||
\(675\) | 1.12839e13 | + | 1.95443e13i | 2.09215 | + | 3.62372i | ||||
\(676\) | 6.59276e12 | − | 1.14190e13i | 1.21425 | − | 2.10314i | ||||
\(677\) | 4.84579e12 | 0.886576 | 0.443288 | − | 0.896379i | \(-0.353812\pi\) | ||||
0.443288 | + | 0.896379i | \(0.353812\pi\) | |||||||
\(678\) | −4.08394e12 | + | 7.07360e12i | −0.742243 | + | 1.28560i | ||||
\(679\) | −2.35903e12 | − | 4.08595e12i | −0.425911 | − | 0.737699i | ||||
\(680\) | −8.16714e12 | −1.46481 | ||||||||
\(681\) | 1.20587e12 | + | 2.08863e12i | 0.214852 | + | 0.372135i | ||||
\(682\) | −4.92514e9 | + | 8.53059e9i | −0.000871744 | + | 0.00150990i | ||||
\(683\) | −4.44522e12 | + | 7.69934e12i | −0.781627 | + | 1.35382i | 0.149366 | + | 0.988782i | \(0.452277\pi\) |
−0.930993 | + | 0.365036i | \(0.881057\pi\) | |||||||
\(684\) | 1.57806e13 | 2.75658 | ||||||||
\(685\) | −1.49642e11 | + | 2.59188e11i | −0.0259685 | + | 0.0449788i | ||||
\(686\) | 1.19172e13 | 2.05455 | ||||||||
\(687\) | −2.57182e11 | −0.0440489 | ||||||||
\(688\) | 1.72939e13 | − | 4.68201e12i | 2.94269 | − | 0.796681i | ||||
\(689\) | 1.43107e11 | 0.0241921 | ||||||||
\(690\) | 6.21496e13 | 10.4380 | ||||||||
\(691\) | 1.35072e12 | − | 2.33952e12i | 0.225379 | − | 0.390369i | −0.731054 | − | 0.682320i | \(-0.760971\pi\) |
0.956433 | + | 0.291951i | \(0.0943045\pi\) | |||||||
\(692\) | 8.04675e12 | 1.33396 | ||||||||
\(693\) | −1.36400e11 | + | 2.36251e11i | −0.0224654 | + | 0.0389112i | ||||
\(694\) | 7.10925e12 | − | 1.23136e13i | 1.16334 | − | 2.01496i | ||||
\(695\) | 1.86242e12 | + | 3.22581e12i | 0.302793 | + | 0.524453i | ||||
\(696\) | −5.23740e13 | −8.46007 | ||||||||
\(697\) | 1.25224e12 | + | 2.16894e12i | 0.200973 | + | 0.348096i | ||||
\(698\) | −1.05200e12 | + | 1.82211e12i | −0.167751 | + | 0.290553i | ||||
\(699\) | 3.66338e12 | 0.580410 | ||||||||
\(700\) | −1.38842e13 | + | 2.40481e13i | −2.18564 | + | 3.78564i | ||||
\(701\) | 2.63924e12 | + | 4.57130e12i | 0.412808 | + | 0.715005i | 0.995196 | − | 0.0979068i | \(-0.0312147\pi\) |
−0.582388 | + | 0.812911i | \(0.697881\pi\) | |||||||
\(702\) | −2.99701e12 | − | 5.19098e12i | −0.465770 | − | 0.806737i | ||||
\(703\) | −2.80201e11 | − | 4.85322e11i | −0.0432683 | − | 0.0749429i | ||||
\(704\) | 3.56196e11 | 0.0546528 | ||||||||
\(705\) | −4.66198e12 | − | 8.07479e12i | −0.710754 | − | 1.23106i | ||||
\(706\) | 7.85977e12 | + | 1.36135e13i | 1.19066 | + | 2.06229i | ||||
\(707\) | 2.53100e12 | − | 4.38382e12i | 0.380982 | − | 0.659880i | ||||
\(708\) | −6.38472e12 | + | 1.10587e13i | −0.954976 | + | 1.65407i | ||||
\(709\) | 3.10316e12 | 0.461207 | 0.230603 | − | 0.973048i | \(-0.425930\pi\) | ||||
0.230603 | + | 0.973048i | \(0.425930\pi\) | |||||||
\(710\) | −3.76924e13 | −5.56662 | ||||||||
\(711\) | −3.82687e12 | + | 6.62833e12i | −0.561604 | + | 0.972726i | ||||
\(712\) | 9.15403e12 | − | 1.58552e13i | 1.33491 | − | 2.31213i | ||||
\(713\) | −2.31344e11 | − | 4.00699e11i | −0.0335239 | − | 0.0580651i | ||||
\(714\) | 2.79456e12 | + | 4.84033e12i | 0.402413 | + | 0.697000i | ||||
\(715\) | −7.07596e10 | −0.0101253 | ||||||||
\(716\) | −1.31867e13 | − | 2.28401e13i | −1.87512 | − | 3.24780i | ||||
\(717\) | −8.65139e12 | − | 1.49847e13i | −1.22250 | − | 2.11744i | ||||
\(718\) | −2.59991e12 | − | 4.50317e12i | −0.365088 | − | 0.632352i | ||||
\(719\) | −2.96682e12 | + | 5.13868e12i | −0.414010 | + | 0.717087i | −0.995324 | − | 0.0965927i | \(-0.969206\pi\) |
0.581314 | + | 0.813680i | \(0.302539\pi\) | |||||||
\(720\) | −8.27180e13 | −11.4711 | ||||||||
\(721\) | 3.10527e11 | − | 5.37848e11i | 0.0427947 | − | 0.0741226i | ||||
\(722\) | −5.21514e12 | − | 9.03289e12i | −0.714247 | − | 1.23711i | ||||
\(723\) | 1.27997e13 | 1.74212 | ||||||||
\(724\) | 5.06156e12 | + | 8.76689e12i | 0.684638 | + | 1.18583i | ||||
\(725\) | 1.19757e13 | − | 2.07424e13i | 1.60982 | − | 2.78830i | ||||
\(726\) | 1.25834e13 | − | 2.17951e13i | 1.68106 | − | 2.91168i | ||||
\(727\) | 3.60417e12 | 0.478520 | 0.239260 | − | 0.970956i | \(-0.423095\pi\) | ||||
0.239260 | + | 0.970956i | \(0.423095\pi\) | |||||||
\(728\) | 2.25460e12 | − | 3.90508e12i | 0.297494 | − | 0.515275i | ||||
\(729\) | −2.91105e12 | −0.381747 | ||||||||
\(730\) | 2.30183e13 | 2.99999 | ||||||||
\(731\) | 1.55265e12 | + | 1.54461e12i | 0.201115 | + | 0.200074i | ||||
\(732\) | −8.87388e12 | −1.14239 | ||||||||
\(733\) | −4.70742e12 | −0.602303 | −0.301151 | − | 0.953576i | \(-0.597371\pi\) | ||||
−0.301151 | + | 0.953576i | \(0.597371\pi\) | |||||||
\(734\) | −1.03509e13 | + | 1.79283e13i | −1.31627 | + | 2.27985i | ||||
\(735\) | −7.06074e12 | −0.892395 | ||||||||
\(736\) | −1.98376e13 | + | 3.43597e13i | −2.49195 | + | 4.31618i | ||||
\(737\) | −1.84303e11 | + | 3.19223e11i | −0.0230107 | + | 0.0398556i | ||||
\(738\) | 2.33883e13 | + | 4.05096e13i | 2.90231 | + | 5.02695i | ||||
\(739\) | −3.84299e11 | −0.0473990 | −0.0236995 | − | 0.999719i | \(-0.507544\pi\) | ||||
−0.0236995 | + | 0.999719i | \(0.507544\pi\) | |||||||
\(740\) | 3.19027e12 | + | 5.52571e12i | 0.391097 | + | 0.677400i | ||||
\(741\) | 8.56310e11 | − | 1.48317e12i | 0.104340 | − | 0.180721i | ||||
\(742\) | −1.34230e12 | −0.162567 | ||||||||
\(743\) | 7.84203e10 | − | 1.35828e11i | 0.00944015 | − | 0.0163508i | −0.861267 | − | 0.508153i | \(-0.830328\pi\) |
0.870707 | + | 0.491802i | \(0.163662\pi\) | |||||||
\(744\) | 8.29803e11 | + | 1.43726e12i | 0.0992880 | + | 0.171972i | ||||
\(745\) | 8.17080e12 | + | 1.41522e13i | 0.971765 | + | 1.68315i | ||||
\(746\) | 9.31728e12 | + | 1.61380e13i | 1.10145 | + | 1.90777i | ||||
\(747\) | −1.47597e13 | −1.73434 | ||||||||
\(748\) | 7.68251e10 | + | 1.33065e11i | 0.00897317 | + | 0.0155420i | ||||
\(749\) | −4.37343e12 | − | 7.57500e12i | −0.507755 | − | 0.879457i | ||||
\(750\) | 2.56675e13 | − | 4.44574e13i | 2.96215 | − | 5.13060i | ||||
\(751\) | −1.67478e12 | + | 2.90081e12i | −0.192123 | + | 0.332767i | −0.945954 | − | 0.324302i | \(-0.894871\pi\) |
0.753831 | + | 0.657069i | \(0.228204\pi\) | |||||||
\(752\) | 1.22999e13 | 1.40256 | ||||||||
\(753\) | −2.78915e13 | −3.16151 | ||||||||
\(754\) | −3.18073e12 | + | 5.50919e12i | −0.358390 | + | 0.620750i | ||||
\(755\) | −6.35532e12 | + | 1.10077e13i | −0.711830 | + | 1.23292i | ||||
\(756\) | 2.02442e13 | + | 3.50639e13i | 2.25399 | + | 3.90402i | ||||
\(757\) | −7.32393e12 | − | 1.26854e13i | −0.810611 | − | 1.40402i | −0.912437 | − | 0.409217i | \(-0.865802\pi\) |
0.101826 | − | 0.994802i | \(-0.467531\pi\) | |||||||
\(758\) | −8.76173e12 | −0.964003 | ||||||||
\(759\) | −3.57432e11 | − | 6.19091e11i | −0.0390936 | − | 0.0677121i | ||||
\(760\) | −1.17367e13 | − | 2.03286e13i | −1.27610 | − | 2.21028i | ||||
\(761\) | 3.26121e12 | + | 5.64859e12i | 0.352491 | + | 0.610533i | 0.986685 | − | 0.162641i | \(-0.0520013\pi\) |
−0.634194 | + | 0.773174i | \(0.718668\pi\) | |||||||
\(762\) | 4.65530e12 | − | 8.06321e12i | 0.500207 | − | 0.866385i | ||||
\(763\) | 5.05863e11 | 0.0540347 | ||||||||
\(764\) | 5.60834e12 | − | 9.71393e12i | 0.595544 | − | 1.03151i | ||||
\(765\) | −5.05571e12 | − | 8.75674e12i | −0.533710 | − | 0.924413i | ||||
\(766\) | 1.03507e13 | 1.08627 | ||||||||
\(767\) | 4.74139e11 | + | 8.21233e11i | 0.0494683 | + | 0.0856816i | ||||
\(768\) | 3.85243e12 | − | 6.67261e12i | 0.399586 | − | 0.692102i | ||||
\(769\) | −6.99175e12 | + | 1.21101e13i | −0.720970 | + | 1.24876i | 0.239642 | + | 0.970861i | \(0.422970\pi\) |
−0.960611 | + | 0.277895i | \(0.910363\pi\) | |||||||
\(770\) | 6.63705e11 | 0.0680404 | ||||||||
\(771\) | 1.17736e13 | − | 2.03924e13i | 1.19995 | − | 2.07838i | ||||
\(772\) | −2.65576e13 | −2.69098 | ||||||||
\(773\) | −1.19403e13 | −1.20283 | −0.601417 | − | 0.798935i | \(-0.705397\pi\) | ||||
−0.601417 | + | 0.798935i | \(0.705397\pi\) | |||||||
\(774\) | 2.89991e13 | + | 2.88490e13i | 2.90436 | + | 2.88933i | ||||
\(775\) | −7.58960e11 | −0.0755720 | ||||||||
\(776\) | −3.03450e13 | −3.00406 | ||||||||
\(777\) | 1.33482e12 | − | 2.31198e12i | 0.131380 | − | 0.227557i | ||||
\(778\) | 8.57649e12 | 0.839269 | ||||||||
\(779\) | −3.59909e12 | + | 6.23381e12i | −0.350166 | + | 0.606505i | ||||
\(780\) | −9.74966e12 | + | 1.68869e13i | −0.943113 | + | 1.63352i | ||||
\(781\) | 2.16775e11 | + | 3.75465e11i | 0.0208487 | + | 0.0361111i | ||||
\(782\) | −1.00219e13 | −0.958341 | ||||||||
\(783\) | −1.74614e13 | − | 3.02441e13i | −1.66017 | − | 2.87549i | ||||
\(784\) | 4.65715e12 | − | 8.06641e12i | 0.440248 | − | 0.762532i | ||||
\(785\) | 5.08045e11 | 0.0477517 | ||||||||
\(786\) | 1.22572e13 | − | 2.12301e13i | 1.14548 | − | 1.98404i | ||||
\(787\) | −4.43850e12 | − | 7.68771e12i | −0.412430 | − | 0.714349i | 0.582725 | − | 0.812669i | \(-0.301986\pi\) |
−0.995155 | + | 0.0983201i | \(0.968653\pi\) | |||||||
\(788\) | −4.24689e12 | − | 7.35583e12i | −0.392377 | − | 0.679616i | ||||
\(789\) | −1.08632e13 | − | 1.88155e13i | −0.997952 | − | 1.72850i | ||||
\(790\) | 1.86211e13 | 1.70092 | ||||||||
\(791\) | −2.04859e12 | − | 3.54826e12i | −0.186063 | − | 0.322271i | ||||
\(792\) | 8.77278e11 | + | 1.51949e12i | 0.0792271 | + | 0.137225i | ||||
\(793\) | −3.29494e11 | + | 5.70701e11i | −0.0295882 | + | 0.0512482i | ||||
\(794\) | 1.54829e13 | − | 2.68171e13i | 1.38248 | − | 2.39452i | ||||
\(795\) | 3.54889e12 | 0.315094 | ||||||||
\(796\) | 4.79676e12 | 0.423486 | ||||||||
\(797\) | −1.00671e13 | + | 1.74367e13i | −0.883774 | + | 1.53074i | −0.0366625 | + | 0.999328i | \(0.511673\pi\) |
−0.847112 | + | 0.531415i | \(0.821661\pi\) | |||||||
\(798\) | −8.03195e12 | + | 1.39117e13i | −0.701145 | + | 1.21442i | ||||
\(799\) | 7.51765e11 | + | 1.30210e12i | 0.0652562 | + | 0.113027i | ||||
\(800\) | 3.25402e13 | + | 5.63612e13i | 2.80876 | + | 4.86492i | ||||
\(801\) | 2.26665e13 | 1.94553 | ||||||||
\(802\) | 7.79142e11 | + | 1.34951e12i | 0.0665016 | + | 0.115184i | ||||
\(803\) | −1.32382e11 | − | 2.29292e11i | −0.0112359 | − | 0.0194612i | ||||
\(804\) | 5.07887e13 | + | 8.79686e13i | 4.28662 | + | 7.42464i | ||||
\(805\) | −1.55878e13 | + | 2.69988e13i | −1.30829 | + | 2.26602i | ||||
\(806\) | 2.01580e11 | 0.0168244 | ||||||||
\(807\) | −1.53236e13 | + | 2.65413e13i | −1.27184 | + | 2.20288i | ||||
\(808\) | −1.62785e13 | − | 2.81953e13i | −1.34358 | − | 2.32715i | ||||
\(809\) | 2.07647e13 | 1.70434 | 0.852170 | − | 0.523264i | \(-0.175286\pi\) | ||||
0.852170 | + | 0.523264i | \(0.175286\pi\) | |||||||
\(810\) | −3.07525e13 | − | 5.32649e13i | −2.51014 | − | 4.34769i | ||||
\(811\) | −5.37886e12 | + | 9.31646e12i | −0.436613 | + | 0.756235i | −0.997426 | − | 0.0717071i | \(-0.977155\pi\) |
0.560813 | + | 0.827942i | \(0.310489\pi\) | |||||||
\(812\) | 2.14852e13 | − | 3.72134e13i | 1.73435 | − | 3.00398i | ||||
\(813\) | 3.45947e13 | 2.77717 | ||||||||
\(814\) | 5.09555e10 | − | 8.82575e10i | 0.00406800 | − | 0.00704599i | ||||
\(815\) | −3.45703e12 | −0.274469 | ||||||||
\(816\) | 1.94933e13 | 1.53915 | ||||||||
\(817\) | −1.61339e12 | + | 6.08436e12i | −0.126689 | + | 0.477766i | ||||
\(818\) | 2.46282e13 | 1.92328 | ||||||||
\(819\) | 5.58266e12 | 0.433575 | ||||||||
\(820\) | 4.09780e13 | − | 7.09760e13i | 3.16511 | − | 5.48213i | ||||
\(821\) | −9.33123e12 | −0.716794 | −0.358397 | − | 0.933569i | \(-0.616677\pi\) | ||||
−0.358397 | + | 0.933569i | \(0.616677\pi\) | |||||||
\(822\) | 6.58647e11 | − | 1.14081e12i | 0.0503187 | − | 0.0871545i | ||||
\(823\) | 4.18322e12 | − | 7.24555e12i | 0.317842 | − | 0.550519i | −0.662195 | − | 0.749331i | \(-0.730375\pi\) |
0.980038 | + | 0.198812i | \(0.0637084\pi\) | |||||||
\(824\) | −1.99721e12 | − | 3.45926e12i | −0.150921 | − | 0.261403i | ||||
\(825\) | −1.17261e12 | −0.0881277 | ||||||||
\(826\) | −4.44729e12 | − | 7.70294e12i | −0.332419 | − | 0.575766i | ||||
\(827\) | 7.69680e12 | − | 1.33313e13i | 0.572184 | − | 0.991051i | −0.424158 | − | 0.905588i | \(-0.639430\pi\) |
0.996341 | − | 0.0854629i | \(-0.0272369\pi\) | |||||||
\(828\) | −1.34798e14 | −9.96660 | ||||||||
\(829\) | −9.12229e12 | + | 1.58003e13i | −0.670824 | + | 1.16190i | 0.306847 | + | 0.951759i | \(0.400726\pi\) |
−0.977671 | + | 0.210142i | \(0.932607\pi\) | |||||||
\(830\) | 1.79548e13 | + | 3.10986e13i | 1.31319 | + | 2.27452i | ||||
\(831\) | 2.35086e13 | + | 4.07180e13i | 1.71010 | + | 2.96198i | ||||
\(832\) | −3.64466e12 | − | 6.31274e12i | −0.263695 | − | 0.456734i | ||||
\(833\) | 1.13858e12 | 0.0819331 | ||||||||
\(834\) | −8.19739e12 | − | 1.41983e13i | −0.586717 | − | 1.01622i | ||||
\(835\) | 2.98702e12 | + | 5.17367e12i | 0.212642 | + | 0.368306i | ||||
\(836\) | −2.20805e11 | + | 3.82446e11i | −0.0156344 | + | 0.0270796i | ||||
\(837\) | −5.53311e11 | + | 9.58362e11i | −0.0389677 | + | 0.0674940i | ||||
\(838\) | −4.57316e13 | −3.20345 | ||||||||
\(839\) | −6.02277e12 | −0.419631 | −0.209815 | − | 0.977741i | \(-0.567286\pi\) | ||||
−0.209815 | + | 0.977741i | \(0.567286\pi\) | |||||||
\(840\) | 5.59116e13 | − | 9.68417e13i | 3.87476 | − | 6.71128i | ||||
\(841\) | −1.12783e13 | + | 1.95345e13i | −0.777428 | + | 1.34655i | ||||
\(842\) | −9.96275e12 | − | 1.72560e13i | −0.683085 | − | 1.18314i | ||||
\(843\) | 1.08848e12 | + | 1.88531e12i | 0.0742332 | + | 0.128576i | ||||
\(844\) | −5.07809e13 | −3.44477 | ||||||||
\(845\) | −1.21412e13 | − | 2.10292e13i | −0.819234 | − | 1.41895i | ||||
\(846\) | 1.40409e13 | + | 2.43195e13i | 0.942383 | + | 1.63225i | ||||
\(847\) | 6.31209e12 | + | 1.09329e13i | 0.421403 | + | 0.729892i | ||||
\(848\) | −2.34079e12 | + | 4.05437e12i | −0.155446 | + | 0.269241i | ||||
\(849\) | 3.38644e13 | 2.23696 | ||||||||
\(850\) | −8.21962e12 | + | 1.42368e13i | −0.540090 | + | 0.935464i | ||||
\(851\) | 2.39348e12 | + | 4.14563e12i | 0.156440 | + | 0.270962i | ||||
\(852\) | 1.19474e14 | 7.76775 | ||||||||
\(853\) | 4.29341e12 | + | 7.43641e12i | 0.277672 | + | 0.480942i | 0.970806 | − | 0.239867i | \(-0.0771038\pi\) |
−0.693134 | + | 0.720809i | \(0.743770\pi\) | |||||||
\(854\) | 3.09056e12 | − | 5.35301e12i | 0.198828 | − | 0.344380i | ||||
\(855\) | 1.45308e13 | − | 2.51680e13i | 0.929910 | − | 1.61065i | ||||
\(856\) | −5.62569e13 | −3.58133 | ||||||||
\(857\) | 6.35537e12 | − | 1.10078e13i | 0.402464 | − | 0.697089i | −0.591558 | − | 0.806262i | \(-0.701487\pi\) |
0.994023 | + | 0.109173i | \(0.0348204\pi\) | |||||||
\(858\) | 3.11446e11 | 0.0196196 | ||||||||
\(859\) | 2.52238e13 | 1.58067 | 0.790334 | − | 0.612677i | \(-0.209907\pi\) | ||||
0.790334 | + | 0.612677i | \(0.209907\pi\) | |||||||
\(860\) | 1.83695e13 | − | 6.92745e13i | 1.14513 | − | 4.31847i | ||||
\(861\) | −3.42908e13 | −2.12649 | ||||||||
\(862\) | 3.11664e13 | 1.92267 | ||||||||
\(863\) | −9.17775e12 | + | 1.58963e13i | −0.563232 | + | 0.975547i | 0.433979 | + | 0.900923i | \(0.357109\pi\) |
−0.997212 | + | 0.0746243i | \(0.976224\pi\) | |||||||
\(864\) | 9.48922e13 | 5.79320 | ||||||||
\(865\) | 7.40946e12 | − | 1.28336e13i | 0.450001 | − | 0.779425i | ||||
\(866\) | −9.57043e12 | + | 1.65765e13i | −0.578230 | + | 1.00152i | ||||
\(867\) | −1.36132e13 | − | 2.35787e13i | −0.818225 | − | 1.41721i | ||||
\(868\) | −1.36163e12 | −0.0814178 | ||||||||
\(869\) | −1.07093e11 | − | 1.85490e11i | −0.00637047 | − | 0.0110340i | ||||
\(870\) | −7.88786e13 | + | 1.36622e14i | −4.66791 | + | 8.08506i | ||||
\(871\) | 7.54329e12 | 0.444098 | ||||||||
\(872\) | 1.62677e12 | − | 2.81765e12i | 0.0952802 | − | 0.165030i | ||||
\(873\) | −1.87844e13 | − | 3.25356e13i | −1.09455 | − | 1.89581i | ||||
\(874\) | −1.44021e13 | − | 2.49452e13i | −0.834883 | − | 1.44606i | ||||
\(875\) | 1.28753e13 | + | 2.23007e13i | 0.742544 | + | 1.28612i | ||||
\(876\) | −7.29612e13 | −4.18623 | ||||||||
\(877\) | 4.70275e12 | + | 8.14540e12i | 0.268444 | + | 0.464959i | 0.968460 | − | 0.249168i | \(-0.0801572\pi\) |
−0.700016 | + | 0.714127i | \(0.746824\pi\) | |||||||
\(878\) | 2.02654e13 | + | 3.51008e13i | 1.15088 | + | 1.99339i | ||||
\(879\) | −1.53330e13 | + | 2.65576e13i | −0.866320 | + | 1.50051i | ||||
\(880\) | 1.15741e12 | − | 2.00469e12i | 0.0650601 | − | 0.112687i | ||||
\(881\) | 1.28753e13 | 0.720057 | 0.360029 | − | 0.932941i | \(-0.382767\pi\) | ||||
0.360029 | + | 0.932941i | \(0.382767\pi\) | |||||||
\(882\) | 2.12654e13 | 1.18322 | ||||||||
\(883\) | 1.21625e13 | − | 2.10660e13i | 0.673284 | − | 1.16616i | −0.303684 | − | 0.952773i | \(-0.598217\pi\) |
0.976967 | − | 0.213389i | \(-0.0684500\pi\) | |||||||
\(884\) | 1.57218e12 | − | 2.72309e12i | 0.0865896 | − | 0.149978i | ||||
\(885\) | 1.17581e13 | + | 2.03657e13i | 0.644308 | + | 1.11597i | ||||
\(886\) | −9.72399e12 | − | 1.68424e13i | −0.530143 | − | 0.918234i | ||||
\(887\) | −1.49803e13 | −0.812575 | −0.406287 | − | 0.913745i | \(-0.633177\pi\) | ||||
−0.406287 | + | 0.913745i | \(0.633177\pi\) | |||||||
\(888\) | −8.58515e12 | − | 1.48699e13i | −0.463329 | − | 0.802509i | ||||
\(889\) | 2.33519e12 | + | 4.04467e12i | 0.125391 | + | 0.217183i | ||||
\(890\) | −2.75731e13 | − | 4.77580e13i | −1.47310 | − | 2.55148i | ||||
\(891\) | −3.53725e11 | + | 6.12669e11i | −0.0188025 | + | 0.0325669i | ||||
\(892\) | 2.52434e13 | 1.33508 | ||||||||
\(893\) | −2.16067e12 | + | 3.74239e12i | −0.113699 | + | 0.196933i | ||||
\(894\) | −3.59635e13 | − | 6.22907e13i | −1.88297 | − | 3.26140i | ||||
\(895\) | −4.85695e13 | −2.53023 | ||||||||
\(896\) | 1.14995e13 | + | 1.99177e13i | 0.596063 | + | 1.03241i | ||||
\(897\) | −7.31462e12 | + | 1.26693e13i | −0.377247 | + | 0.653411i | ||||
\(898\) | 3.10775e13 | − | 5.38277e13i | 1.59478 | − | 2.76225i | ||||
\(899\) | 1.17446e12 | 0.0599680 | ||||||||
\(900\) | −1.10557e14 | + | 1.91490e14i | −5.61686 | + | 9.72869i | ||||
\(901\) | −5.72274e11 | −0.0289296 | ||||||||
\(902\) | −1.30902e12 | −0.0658439 | ||||||||
\(903\) | −2.89445e13 | + | 7.83620e12i | −1.44868 | + | 0.392203i | ||||
\(904\) | −2.63517e13 | −1.31235 | ||||||||
\(905\) | 1.86428e13 | 0.923830 | ||||||||
\(906\) | 2.79727e13 | − | 4.84502e13i | 1.37930 | − | 2.38901i | ||||
\(907\) | 3.41859e12 | 0.167732 | 0.0838658 | − | 0.996477i | \(-0.473273\pi\) | ||||
0.0838658 | + | 0.996477i | \(0.473273\pi\) | |||||||
\(908\) | −6.36324e12 | + | 1.10215e13i | −0.310665 | + | 0.538087i | ||||
\(909\) | 2.01538e13 | − | 3.49074e13i | 0.979084 | − | 1.69582i | ||||
\(910\) | −6.79115e12 | − | 1.17626e13i | −0.328289 | − | 0.568614i | ||||
\(911\) | −3.04602e13 | −1.46521 | −0.732606 | − | 0.680653i | \(-0.761696\pi\) | ||||
−0.732606 | + | 0.680653i | \(0.761696\pi\) | |||||||
\(912\) | 2.80132e13 | + | 4.85203e13i | 1.34087 | + | 2.32245i | ||||
\(913\) | 2.06521e11 | − | 3.57706e11i | 0.00983663 | − | 0.0170376i | ||||
\(914\) | 4.89733e13 | 2.32114 | ||||||||
\(915\) | −8.17108e12 | + | 1.41527e13i | −0.385376 | + | 0.667491i | ||||
\(916\) | −6.78558e11 | − | 1.17530e12i | −0.0318462 | − | 0.0551592i | ||||
\(917\) | 6.14846e12 | + | 1.06494e13i | 0.287147 | + | 0.497353i | ||||
\(918\) | 1.19848e13 | + | 2.07583e13i | 0.556980 | + | 0.964718i | ||||
\(919\) | −4.23853e12 | −0.196018 | −0.0980090 | − | 0.995186i | \(-0.531247\pi\) | ||||
−0.0980090 | + | 0.995186i | \(0.531247\pi\) | |||||||
\(920\) | 1.00255e14 | + | 1.73647e14i | 4.61384 | + | 7.99141i | ||||
\(921\) | −3.49654e13 | − | 6.05619e13i | −1.60129 | − | 2.77352i | ||||
\(922\) | 2.45392e12 | − | 4.25032e12i | 0.111833 | − | 0.193701i | ||||
\(923\) | 4.43616e12 | − | 7.68366e12i | 0.201187 | − | 0.348466i | ||||
\(924\) | −2.10375e12 | −0.0949447 | ||||||||
\(925\) | 7.85220e12 | 0.352658 | ||||||||
\(926\) | −1.25997e13 | + | 2.18232e13i | −0.563130 | + | 0.975371i | ||||
\(927\) | 2.47266e12 | − | 4.28277e12i | 0.109978 | − | 0.190487i | ||||
\(928\) | −5.03546e13 | − | 8.72167e13i | −2.22881 | − | 3.86041i | ||||
\(929\) | 4.78400e12 | + | 8.28614e12i | 0.210727 | + | 0.364990i | 0.951942 | − | 0.306277i | \(-0.0990835\pi\) |
−0.741215 | + | 0.671268i | \(0.765750\pi\) | |||||||
\(930\) | 4.99895e12 | 0.219132 | ||||||||
\(931\) | 1.63621e12 | + | 2.83399e12i | 0.0713781 | + | 0.123630i | ||||
\(932\) | 9.66560e12 | + | 1.67413e13i | 0.419621 | + | 0.726805i | ||||
\(933\) | −3.05717e13 | − | 5.29518e13i | −1.32085 | − | 2.28777i | ||||
\(934\) | −1.98532e13 | + | 3.43868e13i | −0.853632 | + | 1.47853i | ||||
\(935\) | 2.82963e11 | 0.0121081 | ||||||||
\(936\) | 1.79529e13 | − | 3.10954e13i | 0.764529 | − | 1.32420i | ||||
\(937\) | 4.33903e11 | + | 7.51542e11i | 0.0183893 | + | 0.0318511i | 0.875074 | − | 0.483990i | \(-0.160813\pi\) |
−0.856684 | + | 0.515841i | \(0.827480\pi\) | |||||||
\(938\) | −7.07540e13 | −2.98427 | ||||||||
\(939\) | 2.44039e13 | + | 4.22687e13i | 1.02439 | + | 1.77429i | ||||
\(940\) | 2.46007e13 | − | 4.26096e13i | 1.02771 | − | 1.78005i | ||||
\(941\) | −9.94575e12 | + | 1.72266e13i | −0.413508 | + | 0.716218i | −0.995271 | − | 0.0971413i | \(-0.969030\pi\) |
0.581762 | + | 0.813359i | \(0.302363\pi\) | |||||||
\(942\) | −2.23615e12 | −0.0925276 | ||||||||
\(943\) | 3.07435e13 | − | 5.32494e13i | 1.26605 | − | 2.19286i | ||||
\(944\) | −3.10219e13 | −1.27143 | ||||||||
\(945\) | 7.45634e13 | 3.04146 | ||||||||
\(946\) | −1.10493e12 | + | 2.99139e11i | −0.0448563 | + | 0.0121440i | ||||
\(947\) | 3.04253e13 | 1.22931 | 0.614653 | − | 0.788798i | \(-0.289296\pi\) | ||||
0.614653 | + | 0.788798i | \(0.289296\pi\) | |||||||
\(948\) | −5.90234e13 | −2.37349 | ||||||||
\(949\) | −2.70911e12 | + | 4.69231e12i | −0.108425 | + | 0.187797i | ||||
\(950\) | −4.72485e13 | −1.88205 | ||||||||
\(951\) | 2.53387e13 | − | 4.38879e13i | 1.00455 | − | 1.73993i | ||||
\(952\) | −9.01599e12 | + | 1.56162e13i | −0.355752 | + | 0.616180i | ||||
\(953\) | 2.40074e13 | + | 4.15821e13i | 0.942818 | + | 1.63301i | 0.760062 | + | 0.649851i | \(0.225169\pi\) |
0.182756 | + | 0.983158i | \(0.441498\pi\) | |||||||
\(954\) | −1.06885e13 | −0.417781 | ||||||||
\(955\) | −1.03283e13 | − | 1.78892e13i | −0.401805 | − | 0.695946i | ||||
\(956\) | 4.56523e13 | − | 7.90721e13i | 1.76767 | − | 3.06170i | ||||
\(957\) | 1.81457e12 | 0.0699311 | ||||||||
\(958\) | 1.73667e12 | − | 3.00801e12i | 0.0666152 | − | 0.115381i | ||||
\(959\) | 3.30391e11 | + | 5.72254e11i | 0.0126138 | + | 0.0218477i | ||||
\(960\) | −9.03836e13 | − | 1.56549e14i | −3.43454 | − | 5.94880i | ||||
\(961\) | 1.32012e13 | + | 2.28652e13i | 0.499296 | + | 0.864806i | ||||
\(962\) | −2.08554e12 | −0.0785112 | ||||||||
\(963\) | −3.48247e13 | − | 6.03182e13i | −1.30488 | − | 2.26011i | ||||
\(964\) | 3.37713e13 | + | 5.84936e13i | 1.25951 | + | 2.18153i | ||||
\(965\) | −2.44543e13 | + | 4.23561e13i | −0.907783 | + | 1.57233i | ||||
\(966\) | 6.86091e13 | − | 1.18834e14i | 2.53504 | − | 4.39082i | ||||
\(967\) | 1.01409e13 | 0.372957 | 0.186478 | − | 0.982459i | \(-0.440293\pi\) | ||||
0.186478 | + | 0.982459i | \(0.440293\pi\) | |||||||
\(968\) | 8.11946e13 | 2.97227 | ||||||||
\(969\) | −3.42432e12 | + | 5.93110e12i | −0.124772 | + | 0.216112i | ||||
\(970\) | −4.57015e13 | + | 7.91572e13i | −1.65751 | + | 2.87090i | ||||
\(971\) | 1.53991e13 | + | 2.66721e13i | 0.555916 | + | 0.962875i | 0.997832 | + | 0.0658186i | \(0.0209659\pi\) |
−0.441915 | + | 0.897057i | \(0.645701\pi\) | |||||||
\(972\) | 2.30959e13 | + | 4.00032e13i | 0.829920 | + | 1.43746i | ||||
\(973\) | 8.22396e12 | 0.294153 | ||||||||
\(974\) | 3.21659e13 | + | 5.57130e13i | 1.14520 | + | 1.98354i | ||||
\(975\) | 1.19984e13 | + | 2.07818e13i | 0.425209 | + | 0.736484i | ||||
\(976\) | −1.07790e13 | − | 1.86698e13i | −0.380238 | − | 0.658591i | ||||
\(977\) | 9.24554e12 | − | 1.60138e13i | 0.324644 | − | 0.562299i | −0.656797 | − | 0.754068i | \(-0.728089\pi\) |
0.981440 | + | 0.191769i | \(0.0614223\pi\) | |||||||
\(978\) | 1.52160e13 | 0.531834 | ||||||||
\(979\) | −3.17155e11 | + | 5.49328e11i | −0.0110344 | + | 0.0191122i | ||||
\(980\) | −1.86293e13 | − | 3.22669e13i | −0.645178 | − | 1.11748i | ||||
\(981\) | 4.02808e12 | 0.138863 | ||||||||
\(982\) | 3.40292e13 | + | 5.89403e13i | 1.16775 | + | 2.02260i | ||||
\(983\) | 1.88764e13 | − | 3.26949e13i | 0.644805 | − | 1.11684i | −0.339541 | − | 0.940591i | \(-0.610272\pi\) |
0.984346 | − | 0.176244i | \(-0.0563949\pi\) | |||||||
\(984\) | −1.10274e14 | + | 1.90999e14i | −3.74967 | + | 6.49463i | ||||
\(985\) | −1.56422e13 | −0.529461 | ||||||||
\(986\) | 1.27195e13 | − | 2.20309e13i | 0.428573 | − | 0.742310i | ||||
\(987\) | −2.05861e13 | −0.690473 | ||||||||
\(988\) | 9.03728e12 | 0.301739 | ||||||||
\(989\) | 1.37816e13 | − | 5.19728e13i | 0.458055 | − | 1.72740i | ||||
\(990\) | 5.28495e12 | 0.174857 | ||||||||
\(991\) | −1.89878e13 | −0.625378 | −0.312689 | − | 0.949856i | \(-0.601230\pi\) | ||||
−0.312689 | + | 0.949856i | \(0.601230\pi\) | |||||||
\(992\) | −1.59562e12 | + | 2.76369e12i | −0.0523150 | + | 0.0906122i | ||||
\(993\) | 2.05830e13 | 0.671797 | ||||||||
\(994\) | −4.16100e13 | + | 7.20706e13i | −1.35194 | + | 2.34163i | ||||
\(995\) | 4.41686e12 | − | 7.65023e12i | 0.142860 | − | 0.247440i | ||||
\(996\) | −5.69114e13 | − | 9.85734e13i | −1.83245 | − | 3.17390i | ||||
\(997\) | −3.06066e13 | −0.981042 | −0.490521 | − | 0.871429i | \(-0.663193\pi\) | ||||
−0.490521 | + | 0.871429i | \(0.663193\pi\) | |||||||
\(998\) | −3.23952e13 | − | 5.61101e13i | −1.03370 | − | 1.79042i | ||||
\(999\) | 5.72456e12 | − | 9.91522e12i | 0.181843 | − | 0.314962i |
(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.c.a.6.1 | ✓ | 64 | |
43.36 | even | 3 | inner | 43.10.c.a.36.1 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.c.a.6.1 | ✓ | 64 | 1.1 | even | 1 | trivial | |
43.10.c.a.36.1 | yes | 64 | 43.36 | even | 3 | inner |