Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,30,Mod(4,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 30, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.4");
S:= CuspForms(chi, 30);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 30 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.e (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: | \(111.883889004\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 4.19 | ||
Character | \(\chi\) | \(=\) | 21.4 |
Dual form | 21.30.e.a.16.19 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 21714.1 | + | 37610.0i | 0.937147 | + | 1.62319i | 0.770759 | + | 0.637127i | \(0.219877\pi\) |
0.166388 | + | 0.986060i | \(0.446790\pi\) | |||||||
\(3\) | 2.39148e6 | − | 4.14217e6i | 0.288675 | − | 0.500000i | ||||
\(4\) | −6.74573e8 | + | 1.16839e9i | −1.25649 | + | 2.17631i | ||||
\(5\) | −9.42284e9 | − | 1.63208e10i | −0.690425 | − | 1.19585i | −0.971699 | − | 0.236224i | \(-0.924090\pi\) |
0.281273 | − | 0.959628i | \(-0.409243\pi\) | |||||||
\(6\) | 2.07716e11 | 1.08212 | ||||||||
\(7\) | −1.27489e12 | − | 1.26276e12i | −0.710481 | − | 0.703716i | ||||
\(8\) | −3.52757e13 | −2.83577 | ||||||||
\(9\) | −1.14384e13 | − | 1.98119e13i | −0.166667 | − | 0.288675i | ||||
\(10\) | 4.09218e14 | − | 7.08786e14i | 1.29406 | − | 2.24138i | ||||
\(11\) | −8.08847e14 | + | 1.40096e15i | −0.642203 | + | 1.11233i | 0.342737 | + | 0.939432i | \(0.388646\pi\) |
−0.984940 | + | 0.172897i | \(0.944687\pi\) | |||||||
\(12\) | 3.22646e15 | + | 5.58840e15i | 0.725435 | + | 1.25649i | ||||
\(13\) | −1.38940e16 | −0.978698 | −0.489349 | − | 0.872088i | \(-0.662766\pi\) | ||||
−0.489349 | + | 0.872088i | \(0.662766\pi\) | |||||||
\(14\) | 1.98090e16 | − | 7.53684e16i | 0.476438 | − | 1.81273i | ||||
\(15\) | −9.01383e16 | −0.797235 | ||||||||
\(16\) | −4.03824e17 | − | 6.99444e17i | −1.40105 | − | 2.42668i | ||||
\(17\) | −8.45403e16 | + | 1.46428e17i | −0.121774 | + | 0.210919i | −0.920467 | − | 0.390820i | \(-0.872192\pi\) |
0.798693 | + | 0.601738i | \(0.205525\pi\) | |||||||
\(18\) | 4.96750e17 | − | 8.60396e17i | 0.312382 | − | 0.541062i | ||||
\(19\) | −2.66809e18 | − | 4.62127e18i | −0.766078 | − | 1.32689i | −0.939675 | − | 0.342070i | \(-0.888872\pi\) |
0.173596 | − | 0.984817i | \(-0.444461\pi\) | |||||||
\(20\) | 2.54256e19 | 3.47005 | ||||||||
\(21\) | −8.27944e18 | + | 2.26097e18i | −0.556956 | + | 0.152095i | ||||
\(22\) | −7.02537e19 | −2.40736 | ||||||||
\(23\) | 3.07854e19 | + | 5.33218e19i | 0.553721 | + | 0.959072i | 0.998002 | + | 0.0631849i | \(0.0201258\pi\) |
−0.444281 | + | 0.895887i | \(0.646541\pi\) | |||||||
\(24\) | −8.43614e19 | + | 1.46118e20i | −0.818617 | + | 1.41789i | ||||
\(25\) | −8.44476e19 | + | 1.46268e20i | −0.453375 | + | 0.785268i | ||||
\(26\) | −3.01697e20 | − | 5.22554e20i | −0.917185 | − | 1.58861i | ||||
\(27\) | −1.09419e20 | −0.192450 | ||||||||
\(28\) | 2.33541e21 | − | 6.37759e20i | 2.42421 | − | 0.662011i | ||||
\(29\) | 2.73312e21 | 1.70564 | 0.852822 | − | 0.522201i | \(-0.174889\pi\) | ||||
0.852822 | + | 0.522201i | \(0.174889\pi\) | |||||||
\(30\) | −1.95728e21 | − | 3.39010e21i | −0.747126 | − | 1.29406i | ||||
\(31\) | 3.23980e21 | − | 5.61150e21i | 0.768729 | − | 1.33148i | −0.169523 | − | 0.985526i | \(-0.554223\pi\) |
0.938252 | − | 0.345952i | \(-0.112444\pi\) | |||||||
\(32\) | 8.06813e21 | − | 1.39744e22i | 1.20809 | − | 2.09247i | ||||
\(33\) | 3.86869e21 | + | 6.70077e21i | 0.370776 | + | 0.642203i | ||||
\(34\) | −7.34288e21 | −0.456481 | ||||||||
\(35\) | −8.59610e21 | + | 3.27061e22i | −0.351006 | + | 1.33549i | ||||
\(36\) | 3.08641e22 | 0.837660 | ||||||||
\(37\) | 4.02829e22 | + | 6.97721e22i | 0.734846 | + | 1.27279i | 0.954791 | + | 0.297278i | \(0.0960788\pi\) |
−0.219945 | + | 0.975512i | \(0.570588\pi\) | |||||||
\(38\) | 1.15871e23 | − | 2.00694e23i | 1.43586 | − | 2.48698i | ||||
\(39\) | −3.32273e22 | + | 5.75514e22i | −0.282526 | + | 0.489349i | ||||
\(40\) | 3.32398e23 | + | 5.75730e23i | 1.95789 | + | 3.39116i | ||||
\(41\) | 5.71205e22 | 0.235194 | 0.117597 | − | 0.993061i | \(-0.462481\pi\) | ||||
0.117597 | + | 0.993061i | \(0.462481\pi\) | |||||||
\(42\) | −2.64816e23 | − | 2.62295e23i | −0.768829 | − | 0.761509i | ||||
\(43\) | −4.57813e23 | −0.944922 | −0.472461 | − | 0.881352i | \(-0.656634\pi\) | ||||
−0.472461 | + | 0.881352i | \(0.656634\pi\) | |||||||
\(44\) | −1.09125e24 | − | 1.89011e24i | −1.61384 | − | 2.79526i | ||||
\(45\) | −2.15564e23 | + | 3.73368e23i | −0.230142 | + | 0.398617i | ||||
\(46\) | −1.33696e24 | + | 2.31568e24i | −1.03784 | + | 1.79758i | ||||
\(47\) | 8.12934e23 | + | 1.40804e24i | 0.461994 | + | 0.800197i | 0.999060 | − | 0.0433431i | \(-0.0138009\pi\) |
−0.537066 | + | 0.843540i | \(0.680468\pi\) | |||||||
\(48\) | −3.86296e24 | −1.61779 | ||||||||
\(49\) | 3.08038e22 | + | 3.21976e24i | 0.00956669 | + | 0.999954i | ||||
\(50\) | −7.33483e24 | −1.69952 | ||||||||
\(51\) | 4.04354e23 | + | 7.00361e23i | 0.0703062 | + | 0.121774i | ||||
\(52\) | 9.37252e24 | − | 1.62337e25i | 1.22973 | − | 2.12995i | ||||
\(53\) | −5.82157e24 | + | 1.00832e25i | −0.579482 | + | 1.00369i | 0.416057 | + | 0.909338i | \(0.363412\pi\) |
−0.995539 | + | 0.0943531i | \(0.969922\pi\) | |||||||
\(54\) | −2.37594e24 | − | 4.11525e24i | −0.180354 | − | 0.312382i | ||||
\(55\) | 3.04866e25 | 1.77357 | ||||||||
\(56\) | 4.49728e25 | + | 4.45446e25i | 2.01476 | + | 1.99558i | ||||
\(57\) | −2.55228e25 | −0.884591 | ||||||||
\(58\) | 5.93475e25 | + | 1.02793e26i | 1.59844 | + | 2.76858i | ||||
\(59\) | 4.87466e24 | − | 8.44315e24i | 0.102468 | − | 0.177480i | −0.810233 | − | 0.586108i | \(-0.800659\pi\) |
0.912701 | + | 0.408628i | \(0.133993\pi\) | |||||||
\(60\) | 6.08049e25 | − | 1.05317e26i | 1.00172 | − | 1.73503i | ||||
\(61\) | 2.38613e24 | + | 4.13290e24i | 0.0309322 | + | 0.0535762i | 0.881077 | − | 0.472973i | \(-0.156819\pi\) |
−0.850145 | + | 0.526549i | \(0.823486\pi\) | |||||||
\(62\) | 2.81398e26 | 2.88165 | ||||||||
\(63\) | −1.04348e25 | + | 3.97019e25i | −0.0847319 | + | 0.322384i | ||||
\(64\) | 2.67168e26 | 1.72653 | ||||||||
\(65\) | 1.30921e26 | + | 2.26762e26i | 0.675718 | + | 1.17038i | ||||
\(66\) | −1.68011e26 | + | 2.91003e26i | −0.694944 | + | 1.20368i | ||||
\(67\) | 1.55446e26 | − | 2.69240e26i | 0.517005 | − | 0.895480i | −0.482800 | − | 0.875731i | \(-0.660380\pi\) |
0.999805 | − | 0.0197488i | \(-0.00628664\pi\) | |||||||
\(68\) | −1.14057e26 | − | 1.97553e26i | −0.306016 | − | 0.530035i | ||||
\(69\) | 2.94491e26 | 0.639382 | ||||||||
\(70\) | −1.41673e27 | + | 3.86885e26i | −2.49670 | + | 0.681806i | ||||
\(71\) | 2.89398e26 | 0.415193 | 0.207596 | − | 0.978215i | \(-0.433436\pi\) | ||||
0.207596 | + | 0.978215i | \(0.433436\pi\) | |||||||
\(72\) | 4.03498e26 | + | 6.98879e26i | 0.472629 | + | 0.818617i | ||||
\(73\) | −6.70869e25 | + | 1.16198e26i | −0.0643363 | + | 0.111434i | −0.896399 | − | 0.443247i | \(-0.853826\pi\) |
0.832063 | + | 0.554681i | \(0.187160\pi\) | |||||||
\(74\) | −1.74942e27 | + | 3.03008e27i | −1.37732 | + | 2.38558i | ||||
\(75\) | 4.03910e26 | + | 6.99593e26i | 0.261756 | + | 0.453375i | ||||
\(76\) | 7.19929e27 | 3.85028 | ||||||||
\(77\) | 2.80027e27 | − | 7.64705e26i | 1.23904 | − | 0.338360i | ||||
\(78\) | −2.88601e27 | −1.05907 | ||||||||
\(79\) | −2.17720e27 | − | 3.77102e27i | −0.664209 | − | 1.15044i | −0.979499 | − | 0.201449i | \(-0.935435\pi\) |
0.315290 | − | 0.948995i | \(-0.397898\pi\) | |||||||
\(80\) | −7.61034e27 | + | 1.31815e28i | −1.93464 | + | 3.35089i | ||||
\(81\) | −2.61674e26 | + | 4.53232e26i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 1.24032e27 | + | 2.14830e27i | 0.220411 | + | 0.381764i | ||||
\(83\) | 5.93368e27 | 0.884487 | 0.442244 | − | 0.896895i | \(-0.354183\pi\) | ||||
0.442244 | + | 0.896895i | \(0.354183\pi\) | |||||||
\(84\) | 2.94338e27 | − | 1.11988e28i | 0.368805 | − | 1.40321i | ||||
\(85\) | 3.18644e27 | 0.336303 | ||||||||
\(86\) | −9.94103e27 | − | 1.72184e28i | −0.885531 | − | 1.53378i | ||||
\(87\) | 6.53623e27 | − | 1.13211e28i | 0.492377 | − | 0.852822i | ||||
\(88\) | 2.85327e28 | − | 4.94201e28i | 1.82114 | − | 3.15431i | ||||
\(89\) | 1.18492e28 | + | 2.05234e28i | 0.641997 | + | 1.11197i | 0.984986 | + | 0.172633i | \(0.0552274\pi\) |
−0.342989 | + | 0.939340i | \(0.611439\pi\) | |||||||
\(90\) | −1.87232e28 | −0.862707 | ||||||||
\(91\) | 1.77134e28 | + | 1.75447e28i | 0.695347 | + | 0.688726i | ||||
\(92\) | −8.30679e28 | −2.78298 | ||||||||
\(93\) | −1.54959e28 | − | 2.68396e28i | −0.443826 | − | 0.768729i | ||||
\(94\) | −3.53043e28 | + | 6.11489e28i | −0.865913 | + | 1.49980i | ||||
\(95\) | −5.02820e28 | + | 8.70909e28i | −1.05784 | + | 1.83223i | ||||
\(96\) | −3.85896e28 | − | 6.68392e28i | −0.697489 | − | 1.20809i | ||||
\(97\) | 3.54082e28 | 0.550698 | 0.275349 | − | 0.961344i | \(-0.411207\pi\) | ||||
0.275349 | + | 0.961344i | \(0.411207\pi\) | |||||||
\(98\) | −1.20426e29 | + | 7.10728e28i | −1.61415 | + | 0.952633i | ||||
\(99\) | 3.70077e28 | 0.428136 | ||||||||
\(100\) | −1.13932e29 | − | 1.97336e29i | −1.13932 | − | 1.97336i | ||||
\(101\) | −9.28603e27 | + | 1.60839e28i | −0.0803841 | + | 0.139229i | −0.903415 | − | 0.428767i | \(-0.858948\pi\) |
0.823031 | + | 0.567997i | \(0.192281\pi\) | |||||||
\(102\) | −1.75604e28 | + | 3.04155e28i | −0.131775 | + | 0.228240i | ||||
\(103\) | −1.05967e29 | − | 1.83541e29i | −0.690290 | − | 1.19562i | −0.971743 | − | 0.236043i | \(-0.924150\pi\) |
0.281452 | − | 0.959575i | \(-0.409184\pi\) | |||||||
\(104\) | 4.90121e29 | 2.77537 | ||||||||
\(105\) | 1.14917e29 | + | 1.13823e29i | 0.566420 | + | 0.561027i | ||||
\(106\) | −5.05641e29 | −2.17224 | ||||||||
\(107\) | −5.59441e28 | − | 9.68980e28i | −0.209744 | − | 0.363287i | 0.741890 | − | 0.670522i | \(-0.233930\pi\) |
−0.951634 | + | 0.307235i | \(0.900596\pi\) | |||||||
\(108\) | 7.38111e28 | − | 1.27845e29i | 0.241812 | − | 0.418830i | ||||
\(109\) | 1.73977e29 | − | 3.01337e29i | 0.498664 | − | 0.863712i | −0.501335 | − | 0.865253i | \(-0.667157\pi\) |
0.999999 | + | 0.00154181i | \(0.000490773\pi\) | |||||||
\(110\) | 6.61990e29 | + | 1.14660e30i | 1.66210 | + | 2.87884i | ||||
\(111\) | 3.85344e29 | 0.848527 | ||||||||
\(112\) | −3.68393e29 | + | 1.40165e30i | −0.712280 | + | 2.71005i | ||||
\(113\) | 1.98404e29 | 0.337220 | 0.168610 | − | 0.985683i | \(-0.446072\pi\) | ||||
0.168610 | + | 0.985683i | \(0.446072\pi\) | |||||||
\(114\) | −5.54205e29 | − | 9.59912e29i | −0.828992 | − | 1.43586i | ||||
\(115\) | 5.80171e29 | − | 1.00489e30i | 0.764606 | − | 1.32434i | ||||
\(116\) | −1.84369e30 | + | 3.19337e30i | −2.14313 | + | 3.71200i | ||||
\(117\) | 1.58925e29 | + | 2.75266e29i | 0.163116 | + | 0.282526i | ||||
\(118\) | 4.23396e29 | 0.384112 | ||||||||
\(119\) | 2.92683e29 | − | 7.99266e28i | 0.234945 | − | 0.0641594i | ||||
\(120\) | 3.17970e30 | 2.26078 | ||||||||
\(121\) | −5.15313e29 | − | 8.92548e29i | −0.324850 | − | 0.562657i | ||||
\(122\) | −1.03626e29 | + | 1.79485e29i | −0.0579761 | + | 0.100418i | ||||
\(123\) | 1.36603e29 | − | 2.36603e29i | 0.0678946 | − | 0.117597i | ||||
\(124\) | 4.37096e30 | + | 7.57073e30i | 1.93180 | + | 3.34598i | ||||
\(125\) | −3.27336e29 | −0.128765 | ||||||||
\(126\) | −1.71977e30 | + | 4.69640e29i | −0.602696 | + | 0.164586i | ||||
\(127\) | −2.22463e30 | −0.695190 | −0.347595 | − | 0.937645i | \(-0.613002\pi\) | ||||
−0.347595 | + | 0.937645i | \(0.613002\pi\) | |||||||
\(128\) | 1.46977e30 | + | 2.54572e30i | 0.409926 | + | 0.710013i | ||||
\(129\) | −1.09485e30 | + | 1.89634e30i | −0.272775 | + | 0.472461i | ||||
\(130\) | −5.68568e30 | + | 9.84788e30i | −1.26650 | + | 2.19363i | ||||
\(131\) | −2.70016e30 | − | 4.67681e30i | −0.538214 | − | 0.932215i | −0.999000 | − | 0.0447034i | \(-0.985766\pi\) |
0.460786 | − | 0.887511i | \(-0.347568\pi\) | |||||||
\(132\) | −1.04389e31 | −1.86351 | ||||||||
\(133\) | −2.43400e30 | + | 9.26077e30i | −0.389468 | + | 1.48183i | ||||
\(134\) | 1.35015e31 | 1.93804 | ||||||||
\(135\) | 1.03104e30 | + | 1.78581e30i | 0.132872 | + | 0.230142i | ||||
\(136\) | 2.98222e30 | − | 5.16536e30i | 0.345323 | − | 0.598117i | ||||
\(137\) | −3.63450e29 | + | 6.29514e29i | −0.0378439 | + | 0.0655476i | −0.884327 | − | 0.466868i | \(-0.845382\pi\) |
0.846483 | + | 0.532416i | \(0.178716\pi\) | |||||||
\(138\) | 6.39462e30 | + | 1.10758e31i | 0.599195 | + | 1.03784i | ||||
\(139\) | 1.55274e31 | 1.31034 | 0.655170 | − | 0.755482i | \(-0.272597\pi\) | ||||
0.655170 | + | 0.755482i | \(0.272597\pi\) | |||||||
\(140\) | −3.24149e31 | − | 3.21063e31i | −2.46541 | − | 2.44193i | ||||
\(141\) | 7.77647e30 | 0.533465 | ||||||||
\(142\) | 6.28404e30 | + | 1.08843e31i | 0.389097 | + | 0.673936i | ||||
\(143\) | 1.12381e31 | − | 1.94650e31i | 0.628523 | − | 1.08863i | ||||
\(144\) | −9.23820e30 | + | 1.60010e31i | −0.467015 | + | 0.808894i | ||||
\(145\) | −2.57538e31 | − | 4.46069e31i | −1.17762 | − | 2.03970i | ||||
\(146\) | −5.82694e30 | −0.241171 | ||||||||
\(147\) | 1.34105e31 | + | 7.57241e30i | 0.502739 | + | 0.283879i | ||||
\(148\) | −1.08695e32 | −3.69331 | ||||||||
\(149\) | −9.04511e29 | − | 1.56666e30i | −0.0278749 | − | 0.0482807i | 0.851751 | − | 0.523946i | \(-0.175541\pi\) |
−0.879626 | + | 0.475665i | \(0.842207\pi\) | |||||||
\(150\) | −1.75411e31 | + | 3.03821e31i | −0.490608 | + | 0.849758i | ||||
\(151\) | −8.01935e30 | + | 1.38899e31i | −0.203692 | + | 0.352805i | −0.949715 | − | 0.313115i | \(-0.898627\pi\) |
0.746023 | + | 0.665920i | \(0.231961\pi\) | |||||||
\(152\) | 9.41188e31 | + | 1.63019e32i | 2.17242 | + | 3.76275i | ||||
\(153\) | 3.86802e30 | 0.0811827 | ||||||||
\(154\) | 8.95660e31 | + | 8.87132e31i | 1.71038 | + | 1.69410i | ||||
\(155\) | −1.22112e32 | −2.12300 | ||||||||
\(156\) | −4.48285e31 | − | 7.76452e31i | −0.709982 | − | 1.22973i | ||||
\(157\) | −6.71474e30 | + | 1.16303e31i | −0.0969358 | + | 0.167898i | −0.910415 | − | 0.413696i | \(-0.864237\pi\) |
0.813479 | + | 0.581594i | \(0.197571\pi\) | |||||||
\(158\) | 9.45520e31 | − | 1.63769e32i | 1.24492 | − | 2.15627i | ||||
\(159\) | 2.78444e31 | + | 4.82279e31i | 0.334564 | + | 0.579482i | ||||
\(160\) | −3.04099e32 | −3.33638 | ||||||||
\(161\) | 2.80843e31 | − | 1.06854e32i | 0.281507 | − | 1.07106i | ||||
\(162\) | −2.27281e31 | −0.208255 | ||||||||
\(163\) | 9.04456e31 | + | 1.56656e32i | 0.757996 | + | 1.31289i | 0.943871 | + | 0.330315i | \(0.107155\pi\) |
−0.185875 | + | 0.982573i | \(0.559512\pi\) | |||||||
\(164\) | −3.85320e31 | + | 6.67393e31i | −0.295519 | + | 0.511854i | ||||
\(165\) | 7.29081e31 | − | 1.26281e32i | 0.511987 | − | 0.886787i | ||||
\(166\) | 1.28845e32 | + | 2.23166e32i | 0.828895 | + | 1.43569i | ||||
\(167\) | −1.60739e32 | −0.947837 | −0.473919 | − | 0.880569i | \(-0.657161\pi\) | ||||
−0.473919 | + | 0.880569i | \(0.657161\pi\) | |||||||
\(168\) | 2.92063e32 | − | 7.97574e31i | 1.57940 | − | 0.431307i | ||||
\(169\) | −8.49474e30 | −0.0421496 | ||||||||
\(170\) | 6.91908e31 | + | 1.19842e32i | 0.315166 | + | 0.545883i | ||||
\(171\) | −6.10373e31 | + | 1.05720e32i | −0.255359 | + | 0.442296i | ||||
\(172\) | 3.08829e32 | − | 5.34907e32i | 1.18729 | − | 2.05644i | ||||
\(173\) | 1.21507e32 | + | 2.10456e32i | 0.429470 | + | 0.743863i | 0.996826 | − | 0.0796089i | \(-0.0253671\pi\) |
−0.567356 | + | 0.823472i | \(0.692034\pi\) | |||||||
\(174\) | 5.67714e32 | 1.84572 | ||||||||
\(175\) | 2.92362e32 | − | 7.98390e31i | 0.874720 | − | 0.238871i | ||||
\(176\) | 1.30653e33 | 3.59903 | ||||||||
\(177\) | −2.33153e31 | − | 4.03833e31i | −0.0591601 | − | 0.102468i | ||||
\(178\) | −5.14590e32 | + | 8.91296e32i | −1.20329 | + | 2.08416i | ||||
\(179\) | 6.30264e31 | − | 1.09165e32i | 0.135879 | − | 0.235350i | −0.790054 | − | 0.613038i | \(-0.789947\pi\) |
0.925933 | + | 0.377688i | \(0.123281\pi\) | |||||||
\(180\) | −2.90828e32 | − | 5.03729e32i | −0.578342 | − | 1.00172i | ||||
\(181\) | −3.66789e32 | −0.673095 | −0.336548 | − | 0.941666i | \(-0.609259\pi\) | ||||
−0.336548 | + | 0.941666i | \(0.609259\pi\) | |||||||
\(182\) | −2.75226e32 | + | 1.04717e33i | −0.466289 | + | 1.77412i | ||||
\(183\) | 2.28256e31 | 0.0357175 | ||||||||
\(184\) | −1.08598e33 | − | 1.88097e33i | −1.57023 | − | 2.71971i | ||||
\(185\) | 7.59160e32 | − | 1.31490e33i | 1.01471 | − | 1.75753i | ||||
\(186\) | 6.72959e32 | − | 1.16560e33i | 0.831861 | − | 1.44083i | ||||
\(187\) | −1.36760e32 | − | 2.36876e32i | −0.156407 | − | 0.270905i | ||||
\(188\) | −2.19353e33 | −2.32196 | ||||||||
\(189\) | 1.39498e32 | + | 1.38169e32i | 0.136732 | + | 0.135430i | ||||
\(190\) | −4.36732e33 | −3.96541 | ||||||||
\(191\) | 8.57412e32 | + | 1.48508e33i | 0.721449 | + | 1.24959i | 0.960419 | + | 0.278559i | \(0.0898568\pi\) |
−0.238970 | + | 0.971027i | \(0.576810\pi\) | |||||||
\(192\) | 6.38927e32 | − | 1.10665e33i | 0.498406 | − | 0.863265i | ||||
\(193\) | −1.37516e32 | + | 2.38184e32i | −0.0994881 | + | 0.172318i | −0.911473 | − | 0.411360i | \(-0.865054\pi\) |
0.811985 | + | 0.583679i | \(0.198387\pi\) | |||||||
\(194\) | 7.68858e32 | + | 1.33170e33i | 0.516085 | + | 0.893885i | ||||
\(195\) | 1.25238e33 | 0.780252 | ||||||||
\(196\) | −3.78273e33 | − | 2.13597e33i | −2.18823 | − | 1.23561i | ||||
\(197\) | −1.52551e33 | −0.819702 | −0.409851 | − | 0.912152i | \(-0.634419\pi\) | ||||
−0.409851 | + | 0.912152i | \(0.634419\pi\) | |||||||
\(198\) | 8.03590e32 | + | 1.39186e33i | 0.401226 | + | 0.694944i | ||||
\(199\) | 1.00784e33 | − | 1.74563e33i | 0.467759 | − | 0.810183i | −0.531562 | − | 0.847019i | \(-0.678395\pi\) |
0.999321 | + | 0.0368366i | \(0.0117281\pi\) | |||||||
\(200\) | 2.97895e33 | − | 5.15970e33i | 1.28567 | − | 2.22684i | ||||
\(201\) | −7.43494e32 | − | 1.28777e33i | −0.298493 | − | 0.517005i | ||||
\(202\) | −8.06553e32 | −0.301327 | ||||||||
\(203\) | −3.48444e33 | − | 3.45127e33i | −1.21183 | − | 1.20029i | ||||
\(204\) | −1.09106e33 | −0.353356 | ||||||||
\(205\) | −5.38237e32 | − | 9.32255e32i | −0.162384 | − | 0.281257i | ||||
\(206\) | 4.60198e33 | − | 7.97086e33i | 1.29381 | − | 2.24094i | ||||
\(207\) | 7.04270e32 | − | 1.21983e33i | 0.184574 | − | 0.319691i | ||||
\(208\) | 5.61073e33 | + | 9.71807e33i | 1.37120 | + | 2.37499i | ||||
\(209\) | 8.63231e33 | 1.96791 | ||||||||
\(210\) | −1.78555e33 | + | 6.79358e33i | −0.379833 | + | 1.44517i | ||||
\(211\) | 9.20405e33 | 1.82761 | 0.913805 | − | 0.406154i | \(-0.133130\pi\) | ||||
0.913805 | + | 0.406154i | \(0.133130\pi\) | |||||||
\(212\) | −7.85414e33 | − | 1.36038e34i | −1.45623 | − | 2.52226i | ||||
\(213\) | 6.92092e32 | − | 1.19874e33i | 0.119856 | − | 0.207596i | ||||
\(214\) | 2.42956e33 | − | 4.20812e33i | 0.393122 | − | 0.680907i | ||||
\(215\) | 4.31390e33 | + | 7.47190e33i | 0.652398 | + | 1.12999i | ||||
\(216\) | 3.85984e33 | 0.545745 | ||||||||
\(217\) | −1.12163e34 | + | 3.06299e33i | −1.48315 | + | 0.405023i | ||||
\(218\) | 1.51111e34 | 1.86929 | ||||||||
\(219\) | 3.20875e32 | + | 5.55771e32i | 0.0371446 | + | 0.0643363i | ||||
\(220\) | −2.05654e34 | + | 3.56203e34i | −2.22848 | + | 3.85984i | ||||
\(221\) | 1.17460e33 | − | 2.03447e33i | 0.119180 | − | 0.206426i | ||||
\(222\) | 8.36742e33 | + | 1.44928e34i | 0.795195 | + | 1.37732i | ||||
\(223\) | −6.10299e33 | −0.543403 | −0.271702 | − | 0.962382i | \(-0.587586\pi\) | ||||
−0.271702 | + | 0.962382i | \(0.587586\pi\) | |||||||
\(224\) | −2.79323e34 | + | 7.62782e33i | −2.33083 | + | 0.636508i | ||||
\(225\) | 3.86378e33 | 0.302250 | ||||||||
\(226\) | 4.30818e33 | + | 7.46198e33i | 0.316025 | + | 0.547371i | ||||
\(227\) | −1.15761e34 | + | 2.00503e34i | −0.796500 | + | 1.37958i | 0.125383 | + | 0.992108i | \(0.459984\pi\) |
−0.921882 | + | 0.387470i | \(0.873349\pi\) | |||||||
\(228\) | 1.72170e34 | − | 2.98207e34i | 1.11148 | − | 1.92514i | ||||
\(229\) | 6.64258e33 | + | 1.15053e34i | 0.402460 | + | 0.697081i | 0.994022 | − | 0.109178i | \(-0.0348220\pi\) |
−0.591562 | + | 0.806259i | \(0.701489\pi\) | |||||||
\(230\) | 5.03917e34 | 2.86619 | ||||||||
\(231\) | 3.52926e33 | − | 1.34280e34i | 0.188499 | − | 0.717195i | ||||
\(232\) | −9.64130e34 | −4.83682 | ||||||||
\(233\) | 1.44302e33 | + | 2.49939e33i | 0.0680161 | + | 0.117807i | 0.898028 | − | 0.439938i | \(-0.145000\pi\) |
−0.830012 | + | 0.557746i | \(0.811666\pi\) | |||||||
\(234\) | −6.90185e33 | + | 1.19544e34i | −0.305728 | + | 0.529537i | ||||
\(235\) | 1.53203e34 | − | 2.65355e34i | 0.637945 | − | 1.10495i | ||||
\(236\) | 6.57662e33 | + | 1.13910e34i | 0.257501 | + | 0.446005i | ||||
\(237\) | −2.08269e34 | −0.766963 | ||||||||
\(238\) | 9.36140e33 | + | 9.27227e33i | 0.324321 | + | 0.321233i | ||||
\(239\) | 8.59862e33 | 0.280323 | 0.140162 | − | 0.990129i | \(-0.455238\pi\) | ||||
0.140162 | + | 0.990129i | \(0.455238\pi\) | |||||||
\(240\) | 3.64000e34 | + | 6.30467e34i | 1.11696 | + | 1.93464i | ||||
\(241\) | 1.37703e34 | − | 2.38509e34i | 0.397829 | − | 0.689060i | −0.595629 | − | 0.803260i | \(-0.703097\pi\) |
0.993458 | + | 0.114200i | \(0.0364305\pi\) | |||||||
\(242\) | 2.23792e34 | − | 3.87618e34i | 0.608865 | − | 1.05458i | ||||
\(243\) | 1.25158e33 | + | 2.16780e33i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −6.43847e33 | −0.155464 | ||||||||
\(245\) | 5.22589e34 | − | 3.08420e34i | 1.18919 | − | 0.701834i | ||||
\(246\) | 1.18649e34 | 0.254509 | ||||||||
\(247\) | 3.70704e34 | + | 6.42079e34i | 0.749760 | + | 1.29862i | ||||
\(248\) | −1.14286e35 | + | 1.97950e35i | −2.17994 | + | 3.77577i | ||||
\(249\) | 1.41903e34 | − | 2.45783e34i | 0.255329 | − | 0.442244i | ||||
\(250\) | −7.10783e33 | − | 1.23111e34i | −0.120672 | − | 0.209010i | ||||
\(251\) | 7.50851e34 | 1.20305 | 0.601526 | − | 0.798853i | \(-0.294559\pi\) | ||||
0.601526 | + | 0.798853i | \(0.294559\pi\) | |||||||
\(252\) | −3.93485e34 | − | 3.89739e34i | −0.595142 | − | 0.589475i | ||||
\(253\) | −9.96026e34 | −1.42240 | ||||||||
\(254\) | −4.83059e34 | − | 8.36683e34i | −0.651495 | − | 1.12842i | ||||
\(255\) | 7.62032e33 | − | 1.31988e34i | 0.0970824 | − | 0.168152i | ||||
\(256\) | 7.88749e33 | − | 1.36615e34i | 0.0949422 | − | 0.164445i | ||||
\(257\) | 1.60817e34 | + | 2.78544e34i | 0.182938 | + | 0.316857i | 0.942880 | − | 0.333134i | \(-0.108106\pi\) |
−0.759942 | + | 0.649991i | \(0.774773\pi\) | |||||||
\(258\) | −9.50953e34 | −1.02252 | ||||||||
\(259\) | 3.67486e34 | − | 1.39820e35i | 0.373589 | − | 1.42142i | ||||
\(260\) | −3.53263e35 | −3.39613 | ||||||||
\(261\) | −3.12626e34 | − | 5.41484e34i | −0.284274 | − | 0.492377i | ||||
\(262\) | 1.17263e35 | − | 2.03106e35i | 1.00877 | − | 1.74725i | ||||
\(263\) | 5.32885e34 | − | 9.22983e34i | 0.433785 | − | 0.751338i | −0.563410 | − | 0.826177i | \(-0.690511\pi\) |
0.997196 | + | 0.0748391i | \(0.0238443\pi\) | |||||||
\(264\) | −1.36471e35 | − | 2.36375e35i | −1.05144 | − | 1.82114i | ||||
\(265\) | 2.19423e35 | 1.60036 | ||||||||
\(266\) | −4.01150e35 | + | 1.09547e35i | −2.77027 | + | 0.756514i | ||||
\(267\) | 1.13349e35 | 0.741315 | ||||||||
\(268\) | 2.09719e35 | + | 3.63245e35i | 1.29922 | + | 2.25032i | ||||
\(269\) | −1.13451e35 | + | 1.96504e35i | −0.665889 | + | 1.15335i | 0.313155 | + | 0.949702i | \(0.398614\pi\) |
−0.979044 | + | 0.203651i | \(0.934719\pi\) | |||||||
\(270\) | −4.47762e34 | + | 7.75547e34i | −0.249042 | + | 0.431354i | ||||
\(271\) | 1.10556e35 | + | 1.91489e35i | 0.582812 | + | 1.00946i | 0.995144 | + | 0.0984267i | \(0.0313810\pi\) |
−0.412332 | + | 0.911034i | \(0.635286\pi\) | |||||||
\(272\) | 1.36558e35 | 0.682444 | ||||||||
\(273\) | 1.15035e35 | − | 3.14139e34i | 0.545092 | − | 0.148855i | ||||
\(274\) | −3.15680e34 | −0.141861 | ||||||||
\(275\) | −1.36610e35 | − | 2.36616e35i | −0.582317 | − | 1.00860i | ||||
\(276\) | −1.98656e35 | + | 3.44082e35i | −0.803377 | + | 1.39149i | ||||
\(277\) | 2.61093e34 | − | 4.52225e34i | 0.100193 | − | 0.173540i | −0.811571 | − | 0.584254i | \(-0.801387\pi\) |
0.911764 | + | 0.410714i | \(0.134721\pi\) | |||||||
\(278\) | 3.37164e35 | + | 5.83985e35i | 1.22798 | + | 2.12693i | ||||
\(279\) | −1.48232e35 | −0.512486 | ||||||||
\(280\) | 3.03234e35 | − | 1.15373e36i | 0.995374 | − | 3.78716i | ||||
\(281\) | 5.45159e35 | 1.69935 | 0.849673 | − | 0.527310i | \(-0.176799\pi\) | ||||
0.849673 | + | 0.527310i | \(0.176799\pi\) | |||||||
\(282\) | 1.68860e35 | + | 2.92473e35i | 0.499935 | + | 0.865913i | ||||
\(283\) | 1.06644e35 | − | 1.84713e35i | 0.299940 | − | 0.519511i | −0.676182 | − | 0.736735i | \(-0.736367\pi\) |
0.976122 | + | 0.217224i | \(0.0697001\pi\) | |||||||
\(284\) | −1.95220e35 | + | 3.38132e35i | −0.521686 | + | 0.903586i | ||||
\(285\) | 2.40497e35 | + | 4.16553e35i | 0.610744 | + | 1.05784i | ||||
\(286\) | 9.76105e35 | 2.35608 | ||||||||
\(287\) | −7.28226e34 | − | 7.21292e34i | −0.167101 | − | 0.165510i | ||||
\(288\) | −3.69146e35 | −0.805391 | ||||||||
\(289\) | 2.26690e35 | + | 3.92639e35i | 0.470342 | + | 0.814657i | ||||
\(290\) | 1.11844e36 | − | 1.93720e36i | 2.20721 | − | 3.82300i | ||||
\(291\) | 8.46781e34 | − | 1.46667e35i | 0.158973 | − | 0.275349i | ||||
\(292\) | −9.05101e34 | − | 1.56768e35i | −0.161676 | − | 0.280031i | ||||
\(293\) | 1.70067e35 | 0.289095 | 0.144547 | − | 0.989498i | \(-0.453827\pi\) | ||||
0.144547 | + | 0.989498i | \(0.453827\pi\) | |||||||
\(294\) | 6.39846e33 | + | 6.68796e35i | 0.0103523 | + | 1.08208i | ||||
\(295\) | −1.83732e35 | −0.282987 | ||||||||
\(296\) | −1.42101e36 | − | 2.46126e36i | −2.08386 | − | 3.60934i | ||||
\(297\) | 8.85032e34 | − | 1.53292e35i | 0.123592 | − | 0.214068i | ||||
\(298\) | 3.92814e34 | − | 6.80373e34i | 0.0522457 | − | 0.0904923i | ||||
\(299\) | −4.27732e35 | − | 7.40854e35i | −0.541925 | − | 0.938642i | ||||
\(300\) | −1.08987e36 | −1.31558 | ||||||||
\(301\) | 5.83664e35 | + | 5.78106e35i | 0.671349 | + | 0.664957i | ||||
\(302\) | −6.96534e35 | −0.763557 | ||||||||
\(303\) | 4.44148e34 | + | 7.69287e34i | 0.0464098 | + | 0.0803841i | ||||
\(304\) | −2.15488e36 | + | 3.73236e36i | −2.14662 | + | 3.71806i | ||||
\(305\) | 4.49682e34 | − | 7.78873e34i | 0.0427128 | − | 0.0739808i | ||||
\(306\) | 8.39908e34 | + | 1.45476e35i | 0.0760801 | + | 0.131775i | ||||
\(307\) | 1.55033e36 | 1.33942 | 0.669712 | − | 0.742621i | \(-0.266417\pi\) | ||||
0.669712 | + | 0.742621i | \(0.266417\pi\) | |||||||
\(308\) | −9.95509e35 | + | 3.78767e36i | −0.820465 | + | 3.12167i | ||||
\(309\) | −1.01368e36 | −0.797079 | ||||||||
\(310\) | −2.65157e36 | − | 4.59265e36i | −1.98957 | − | 3.44603i | ||||
\(311\) | 1.04321e36 | − | 1.80689e36i | 0.747044 | − | 1.29392i | −0.202190 | − | 0.979346i | \(-0.564806\pi\) |
0.949234 | − | 0.314572i | \(-0.101861\pi\) | |||||||
\(312\) | 1.17212e36 | − | 2.03017e36i | 0.801179 | − | 1.38768i | ||||
\(313\) | −8.83342e35 | − | 1.52999e36i | −0.576416 | − | 0.998381i | −0.995886 | − | 0.0906125i | \(-0.971118\pi\) |
0.419470 | − | 0.907769i | \(-0.362216\pi\) | |||||||
\(314\) | −5.83219e35 | −0.363373 | ||||||||
\(315\) | 7.46295e35 | − | 2.03800e35i | 0.444025 | − | 0.121256i | ||||
\(316\) | 5.87471e36 | 3.33829 | ||||||||
\(317\) | −8.41517e34 | − | 1.45755e35i | −0.0456776 | − | 0.0791159i | 0.842283 | − | 0.539036i | \(-0.181211\pi\) |
−0.887960 | + | 0.459920i | \(0.847878\pi\) | |||||||
\(318\) | −1.20923e36 | + | 2.09445e36i | −0.627071 | + | 1.08612i | ||||
\(319\) | −2.21068e36 | + | 3.82901e36i | −1.09537 | + | 1.89724i | ||||
\(320\) | −2.51748e36 | − | 4.36040e36i | −1.19204 | − | 2.06467i | ||||
\(321\) | −5.35158e35 | −0.242192 | ||||||||
\(322\) | 4.62861e36 | − | 1.26399e36i | 2.00235 | − | 0.546808i | ||||
\(323\) | 9.02245e35 | 0.373154 | ||||||||
\(324\) | −3.53036e35 | − | 6.11477e35i | −0.139610 | − | 0.241812i | ||||
\(325\) | 1.17332e36 | − | 2.03224e36i | 0.443717 | − | 0.768540i | ||||
\(326\) | −3.92790e36 | + | 6.80332e36i | −1.42071 | + | 2.46074i | ||||
\(327\) | −8.32128e35 | − | 1.44129e36i | −0.287904 | − | 0.498664i | ||||
\(328\) | −2.01497e36 | −0.666956 | ||||||||
\(329\) | 7.41609e35 | − | 2.82164e36i | 0.234874 | − | 0.893637i | ||||
\(330\) | 6.33255e36 | 1.91923 | ||||||||
\(331\) | 2.89989e36 | + | 5.02275e36i | 0.841153 | + | 1.45692i | 0.888920 | + | 0.458062i | \(0.151456\pi\) |
−0.0477668 | + | 0.998859i | \(0.515210\pi\) | |||||||
\(332\) | −4.00270e36 | + | 6.93288e36i | −1.11135 | + | 1.92491i | ||||
\(333\) | 9.21545e35 | − | 1.59616e36i | 0.244949 | − | 0.424263i | ||||
\(334\) | −3.49032e36 | − | 6.04541e36i | −0.888263 | − | 1.53852i | ||||
\(335\) | −5.85897e36 | −1.42781 | ||||||||
\(336\) | 4.92486e36 | + | 4.87797e36i | 1.14941 | + | 1.13846i | ||||
\(337\) | −8.14069e36 | −1.81982 | −0.909909 | − | 0.414808i | \(-0.863849\pi\) | ||||
−0.909909 | + | 0.414808i | \(0.863849\pi\) | |||||||
\(338\) | −1.84456e35 | − | 3.19487e35i | −0.0395003 | − | 0.0684166i | ||||
\(339\) | 4.74480e35 | − | 8.21824e35i | 0.0973470 | − | 0.168610i | ||||
\(340\) | −2.14949e36 | + | 3.72302e36i | −0.422562 | + | 0.731899i | ||||
\(341\) | 5.24100e36 | + | 9.07769e36i | 0.987361 | + | 1.71016i | ||||
\(342\) | −5.30149e36 | −0.957238 | ||||||||
\(343\) | 4.02650e36 | − | 4.14375e36i | 0.696887 | − | 0.717181i | ||||
\(344\) | 1.61497e37 | 2.67958 | ||||||||
\(345\) | −2.77494e36 | − | 4.80634e36i | −0.441445 | − | 0.764606i | ||||
\(346\) | −5.27684e36 | + | 9.13975e36i | −0.804953 | + | 1.39422i | ||||
\(347\) | 1.56512e36 | − | 2.71087e36i | 0.228966 | − | 0.396580i | −0.728536 | − | 0.685007i | \(-0.759799\pi\) |
0.957502 | + | 0.288427i | \(0.0931323\pi\) | |||||||
\(348\) | 8.81833e36 | + | 1.52738e37i | 1.23733 | + | 2.14313i | ||||
\(349\) | −4.47326e36 | −0.602081 | −0.301041 | − | 0.953611i | \(-0.597334\pi\) | ||||
−0.301041 | + | 0.953611i | \(0.597334\pi\) | |||||||
\(350\) | 9.35113e36 | + | 9.26210e36i | 1.20747 | + | 1.19598i | ||||
\(351\) | 1.52027e36 | 0.188351 | ||||||||
\(352\) | 1.30518e37 | + | 2.26063e37i | 1.55167 | + | 2.68758i | ||||
\(353\) | 1.25779e36 | − | 2.17856e36i | 0.143508 | − | 0.248563i | −0.785307 | − | 0.619106i | \(-0.787495\pi\) |
0.928815 | + | 0.370543i | \(0.120828\pi\) | |||||||
\(354\) | 1.01255e36 | − | 1.75378e36i | 0.110884 | − | 0.192056i | ||||
\(355\) | −2.72695e36 | − | 4.72322e36i | −0.286660 | − | 0.496509i | ||||
\(356\) | −3.19726e37 | −3.22665 | ||||||||
\(357\) | 3.68877e35 | − | 1.40349e36i | 0.0357431 | − | 0.135994i | ||||
\(358\) | 5.47426e36 | 0.509356 | ||||||||
\(359\) | 1.66766e35 | + | 2.88847e35i | 0.0149018 | + | 0.0258106i | 0.873380 | − | 0.487039i | \(-0.161923\pi\) |
−0.858478 | + | 0.512850i | \(0.828590\pi\) | |||||||
\(360\) | 7.60419e36 | − | 1.31708e37i | 0.652630 | − | 1.13039i | ||||
\(361\) | −8.17249e36 | + | 1.41552e37i | −0.673752 | + | 1.16697i | ||||
\(362\) | −7.96450e36 | − | 1.37949e37i | −0.630789 | − | 1.09256i | ||||
\(363\) | −4.92945e36 | −0.375105 | ||||||||
\(364\) | −3.24481e37 | + | 8.86103e36i | −2.37257 | + | 0.647909i | ||||
\(365\) | 2.52860e36 | 0.177678 | ||||||||
\(366\) | 4.95638e35 | + | 8.58470e35i | 0.0334725 | + | 0.0579761i | ||||
\(367\) | −4.48710e36 | + | 7.77188e36i | −0.291278 | + | 0.504508i | −0.974112 | − | 0.226065i | \(-0.927414\pi\) |
0.682834 | + | 0.730573i | \(0.260747\pi\) | |||||||
\(368\) | 2.48637e37 | − | 4.30653e37i | 1.55158 | − | 2.68741i | ||||
\(369\) | −6.53367e35 | − | 1.13166e36i | −0.0391990 | − | 0.0678946i | ||||
\(370\) | 6.59380e37 | 3.80374 | ||||||||
\(371\) | 2.01546e37 | − | 5.50386e36i | 1.11802 | − | 0.305313i | ||||
\(372\) | 4.18124e37 | 2.23065 | ||||||||
\(373\) | −1.14122e36 | − | 1.97665e36i | −0.0585586 | − | 0.101426i | 0.835260 | − | 0.549855i | \(-0.185317\pi\) |
−0.893819 | + | 0.448429i | \(0.851984\pi\) | |||||||
\(374\) | 5.93927e36 | − | 1.02871e37i | 0.293153 | − | 0.507757i | ||||
\(375\) | −7.82819e35 | + | 1.35588e36i | −0.0371713 | + | 0.0643826i | ||||
\(376\) | −2.86768e37 | − | 4.96697e37i | −1.31011 | − | 2.26918i | ||||
\(377\) | −3.79741e37 | −1.66931 | ||||||||
\(378\) | −2.16748e36 | + | 8.24674e36i | −0.0916905 | + | 0.348860i | ||||
\(379\) | −3.27860e37 | −1.33481 | −0.667405 | − | 0.744695i | \(-0.732595\pi\) | ||||
−0.667405 | + | 0.744695i | \(0.732595\pi\) | |||||||
\(380\) | −6.78377e37 | − | 1.17498e38i | −2.65833 | − | 4.60437i | ||||
\(381\) | −5.32016e36 | + | 9.21479e36i | −0.200684 | + | 0.347595i | ||||
\(382\) | −3.72359e37 | + | 6.44945e37i | −1.35221 | + | 2.34209i | ||||
\(383\) | 2.15189e37 | + | 3.72719e37i | 0.752382 | + | 1.30316i | 0.946665 | + | 0.322219i | \(0.104429\pi\) |
−0.194283 | + | 0.980946i | \(0.562238\pi\) | |||||||
\(384\) | 1.40598e37 | 0.473342 | ||||||||
\(385\) | −3.88671e37 | − | 3.84971e37i | −1.26009 | − | 1.24809i | ||||
\(386\) | −1.19441e37 | −0.372940 | ||||||||
\(387\) | 5.23665e36 | + | 9.07014e36i | 0.157487 | + | 0.272775i | ||||
\(388\) | −2.38854e37 | + | 4.13707e37i | −0.691946 | + | 1.19849i | ||||
\(389\) | 1.99416e37 | − | 3.45399e37i | 0.556533 | − | 0.963944i | −0.441249 | − | 0.897385i | \(-0.645465\pi\) |
0.997782 | − | 0.0665591i | \(-0.0212021\pi\) | |||||||
\(390\) | 2.71944e37 | + | 4.71021e37i | 0.731211 | + | 1.26650i | ||||
\(391\) | −1.04104e37 | −0.269715 | ||||||||
\(392\) | −1.08663e36 | − | 1.13579e38i | −0.0271289 | − | 2.83564i | ||||
\(393\) | −2.58295e37 | −0.621476 | ||||||||
\(394\) | −3.31252e37 | − | 5.73746e37i | −0.768182 | − | 1.33053i | ||||
\(395\) | −4.10308e37 | + | 7.10674e37i | −0.917174 | + | 1.58859i | ||||
\(396\) | −2.49644e37 | + | 4.32396e37i | −0.537948 | + | 0.931754i | ||||
\(397\) | 4.09203e37 | + | 7.08760e37i | 0.850112 | + | 1.47244i | 0.881107 | + | 0.472917i | \(0.156799\pi\) |
−0.0309953 | + | 0.999520i | \(0.509868\pi\) | |||||||
\(398\) | 8.75376e37 | 1.75344 | ||||||||
\(399\) | 3.25388e37 | + | 3.22290e37i | 0.628485 | + | 0.622501i | ||||
\(400\) | 1.36408e38 | 2.54079 | ||||||||
\(401\) | −2.33849e37 | − | 4.05038e37i | −0.420089 | − | 0.727616i | 0.575859 | − | 0.817549i | \(-0.304668\pi\) |
−0.995948 | + | 0.0899335i | \(0.971335\pi\) | |||||||
\(402\) | 3.22887e37 | − | 5.59256e37i | 0.559464 | − | 0.969021i | ||||
\(403\) | −4.50138e37 | + | 7.79662e37i | −0.752354 | + | 1.30312i | ||||
\(404\) | −1.25282e37 | − | 2.16995e37i | −0.202004 | − | 0.349881i | ||||
\(405\) | 9.86284e36 | 0.153428 | ||||||||
\(406\) | 5.41405e37 | − | 2.05991e38i | 0.812633 | − | 3.09187i | ||||
\(407\) | −1.30331e38 | −1.88768 | ||||||||
\(408\) | −1.42639e37 | − | 2.47058e37i | −0.199372 | − | 0.345323i | ||||
\(409\) | 3.61774e37 | − | 6.26611e37i | 0.488033 | − | 0.845299i | −0.511872 | − | 0.859062i | \(-0.671048\pi\) |
0.999905 | + | 0.0137631i | \(0.00438107\pi\) | |||||||
\(410\) | 2.33747e37 | − | 4.04862e37i | 0.304355 | − | 0.527159i | ||||
\(411\) | 1.73837e36 | + | 3.01094e36i | 0.0218492 | + | 0.0378439i | ||||
\(412\) | 2.85931e38 | 3.46937 | ||||||||
\(413\) | −1.68763e37 | + | 4.60863e36i | −0.197698 | + | 0.0539878i | ||||
\(414\) | 6.11705e37 | 0.691890 | ||||||||
\(415\) | −5.59121e37 | − | 9.68426e37i | −0.610672 | − | 1.05772i | ||||
\(416\) | −1.12099e38 | + | 1.94161e38i | −1.18235 | + | 2.04790i | ||||
\(417\) | 3.71335e37 | − | 6.43171e37i | 0.378262 | − | 0.655170i | ||||
\(418\) | 1.87443e38 | + | 3.24661e38i | 1.84422 | + | 3.19429i | ||||
\(419\) | −1.52469e38 | −1.44904 | −0.724518 | − | 0.689256i | \(-0.757937\pi\) | ||||
−0.724518 | + | 0.689256i | \(0.757937\pi\) | |||||||
\(420\) | −2.10510e38 | + | 5.74865e37i | −1.93267 | + | 0.527778i | ||||
\(421\) | 1.01030e38 | 0.896110 | 0.448055 | − | 0.894006i | \(-0.352117\pi\) | ||||
0.448055 | + | 0.894006i | \(0.352117\pi\) | |||||||
\(422\) | 1.99858e38 | + | 3.46164e38i | 1.71274 | + | 2.96655i | ||||
\(423\) | 1.85973e37 | − | 3.22115e37i | 0.153998 | − | 0.266732i | ||||
\(424\) | 2.05360e38 | − | 3.55694e38i | 1.64328 | − | 2.84624i | ||||
\(425\) | −1.42785e37 | − | 2.47310e37i | −0.110418 | − | 0.191250i | ||||
\(426\) | 6.01127e37 | 0.449290 | ||||||||
\(427\) | 2.17678e36 | − | 8.28210e36i | 0.0157257 | − | 0.0598324i | ||||
\(428\) | 1.50954e38 | 1.05417 | ||||||||
\(429\) | −5.37516e37 | − | 9.31005e37i | −0.362878 | − | 0.628523i | ||||
\(430\) | −1.87345e38 | + | 3.24492e38i | −1.22279 | + | 2.11793i | ||||
\(431\) | −1.07362e38 | + | 1.85957e38i | −0.677535 | + | 1.17352i | 0.298186 | + | 0.954508i | \(0.403618\pi\) |
−0.975721 | + | 0.219017i | \(0.929715\pi\) | |||||||
\(432\) | 4.41860e37 | + | 7.65324e37i | 0.269631 | + | 0.467015i | ||||
\(433\) | 7.64526e37 | 0.451147 | 0.225573 | − | 0.974226i | \(-0.427574\pi\) | ||||
0.225573 | + | 0.974226i | \(0.427574\pi\) | |||||||
\(434\) | −3.58753e38 | − | 3.55337e38i | −2.04736 | − | 2.02786i | ||||
\(435\) | −2.46359e38 | −1.35980 | ||||||||
\(436\) | 2.34721e38 | + | 4.06548e38i | 1.25313 | + | 2.17049i | ||||
\(437\) | 1.64276e38 | − | 2.84535e38i | 0.848387 | − | 1.46945i | ||||
\(438\) | −1.39350e37 | + | 2.41362e37i | −0.0696199 | + | 0.120585i | ||||
\(439\) | −3.04880e37 | − | 5.28068e37i | −0.147365 | − | 0.255243i | 0.782888 | − | 0.622163i | \(-0.213746\pi\) |
−0.930253 | + | 0.366919i | \(0.880412\pi\) | |||||||
\(440\) | −1.07544e39 | −5.02945 | ||||||||
\(441\) | 6.34371e37 | − | 3.74392e37i | 0.287067 | − | 0.169421i | ||||
\(442\) | 1.02022e38 | 0.446757 | ||||||||
\(443\) | 1.82985e38 | + | 3.16939e38i | 0.775463 | + | 1.34314i | 0.934534 | + | 0.355874i | \(0.115817\pi\) |
−0.159071 | + | 0.987267i | \(0.550850\pi\) | |||||||
\(444\) | −2.59943e38 | + | 4.50234e38i | −1.06617 | + | 1.84665i | ||||
\(445\) | 2.23306e38 | − | 3.86777e38i | 0.886503 | − | 1.53547i | ||||
\(446\) | −1.32521e38 | − | 2.29534e38i | −0.509249 | − | 0.882045i | ||||
\(447\) | −8.65250e36 | −0.0321871 | ||||||||
\(448\) | −3.40610e38 | − | 3.37367e38i | −1.22667 | − | 1.21499i | ||||
\(449\) | 5.43886e37 | 0.189642 | 0.0948212 | − | 0.995494i | \(-0.469772\pi\) | ||||
0.0948212 | + | 0.995494i | \(0.469772\pi\) | |||||||
\(450\) | 8.38987e37 | + | 1.45317e38i | 0.283253 | + | 0.490608i | ||||
\(451\) | −4.62018e37 | + | 8.00238e37i | −0.151042 | + | 0.261613i | ||||
\(452\) | −1.33838e38 | + | 2.31814e38i | −0.423714 | + | 0.733894i | ||||
\(453\) | 3.83563e37 | + | 6.64351e37i | 0.117602 | + | 0.203692i | ||||
\(454\) | −1.00546e39 | −2.98575 | ||||||||
\(455\) | 1.19434e38 | − | 4.54418e38i | 0.343529 | − | 1.30705i | ||||
\(456\) | 9.00335e38 | 2.50850 | ||||||||
\(457\) | −3.17203e38 | − | 5.49411e38i | −0.856154 | − | 1.48290i | −0.875570 | − | 0.483091i | \(-0.839514\pi\) |
0.0194157 | − | 0.999811i | \(-0.493819\pi\) | |||||||
\(458\) | −2.88476e38 | + | 4.99655e38i | −0.754328 | + | 1.30653i | ||||
\(459\) | 9.25032e36 | − | 1.60220e37i | 0.0234354 | − | 0.0405913i | ||||
\(460\) | 7.82736e38 | + | 1.35574e39i | 1.92144 | + | 3.32803i | ||||
\(461\) | 3.00121e38 | 0.713893 | 0.356946 | − | 0.934125i | \(-0.383818\pi\) | ||||
0.356946 | + | 0.934125i | \(0.383818\pi\) | |||||||
\(462\) | 5.81661e38 | − | 1.58842e38i | 1.34079 | − | 0.366147i | ||||
\(463\) | 4.97745e38 | 1.11194 | 0.555972 | − | 0.831201i | \(-0.312346\pi\) | ||||
0.555972 | + | 0.831201i | \(0.312346\pi\) | |||||||
\(464\) | −1.10370e39 | − | 1.91167e39i | −2.38969 | − | 4.13906i | ||||
\(465\) | −2.92030e38 | + | 5.05811e38i | −0.612858 | + | 1.06150i | ||||
\(466\) | −6.26679e37 | + | 1.08544e38i | −0.127482 | + | 0.220806i | ||||
\(467\) | 3.48861e38 | + | 6.04245e38i | 0.687951 | + | 1.19157i | 0.972500 | + | 0.232905i | \(0.0748231\pi\) |
−0.284548 | + | 0.958662i | \(0.591844\pi\) | |||||||
\(468\) | −4.28827e38 | −0.819817 | ||||||||
\(469\) | −5.38162e38 | + | 1.46963e38i | −0.997486 | + | 0.272396i | ||||
\(470\) | 1.33067e39 | 2.39139 | ||||||||
\(471\) | 3.21164e37 | + | 5.56272e37i | 0.0559659 | + | 0.0969358i | ||||
\(472\) | −1.71957e38 | + | 2.97838e38i | −0.290577 | + | 0.503294i | ||||
\(473\) | 3.70301e38 | − | 6.41380e38i | 0.606832 | − | 1.05106i | ||||
\(474\) | −4.52239e38 | − | 7.83301e38i | −0.718757 | − | 1.24492i | ||||
\(475\) | 9.01255e38 | 1.38928 | ||||||||
\(476\) | −1.04050e38 | + | 3.95886e38i | −0.155576 | + | 0.591928i | ||||
\(477\) | 2.66357e38 | 0.386321 | ||||||||
\(478\) | 1.86712e38 | + | 3.23394e38i | 0.262704 | + | 0.455017i | ||||
\(479\) | 8.43445e37 | − | 1.46089e38i | 0.115131 | − | 0.199412i | −0.802701 | − | 0.596381i | \(-0.796605\pi\) |
0.917832 | + | 0.396969i | \(0.129938\pi\) | |||||||
\(480\) | −7.27248e38 | + | 1.25963e39i | −0.963129 | + | 1.66819i | ||||
\(481\) | −5.59691e38 | − | 9.69414e38i | −0.719192 | − | 1.24568i | ||||
\(482\) | 1.19604e39 | 1.49130 | ||||||||
\(483\) | −3.75445e38 | − | 3.71870e38i | −0.454268 | − | 0.449943i | ||||
\(484\) | 1.39046e39 | 1.63268 | ||||||||
\(485\) | −3.33645e38 | − | 5.77891e38i | −0.380216 | − | 0.658553i | ||||
\(486\) | −5.43539e37 | + | 9.41437e37i | −0.0601180 | + | 0.104127i | ||||
\(487\) | −2.90597e38 | + | 5.03328e38i | −0.311975 | + | 0.540357i | −0.978790 | − | 0.204866i | \(-0.934324\pi\) |
0.666814 | + | 0.745224i | \(0.267657\pi\) | |||||||
\(488\) | −8.41725e37 | − | 1.45791e38i | −0.0877168 | − | 0.151930i | ||||
\(489\) | 8.65197e38 | 0.875259 | ||||||||
\(490\) | 2.29473e39 | + | 1.29575e39i | 2.25366 | + | 1.27256i | ||||
\(491\) | 1.21858e39 | 1.16191 | 0.580954 | − | 0.813936i | \(-0.302679\pi\) | ||||
0.580954 | + | 0.813936i | \(0.302679\pi\) | |||||||
\(492\) | 1.84297e38 | + | 3.19212e38i | 0.170618 | + | 0.295519i | ||||
\(493\) | −2.31059e38 | + | 4.00206e38i | −0.207703 | + | 0.359752i | ||||
\(494\) | −1.60991e39 | + | 2.78844e39i | −1.40527 | + | 2.43400i | ||||
\(495\) | −3.48717e38 | − | 6.03996e38i | −0.295596 | − | 0.511987i | ||||
\(496\) | −5.23323e39 | −4.30810 | ||||||||
\(497\) | −3.68952e38 | − | 3.65439e38i | −0.294987 | − | 0.292178i | ||||
\(498\) | 1.23252e39 | 0.957125 | ||||||||
\(499\) | −1.03697e39 | − | 1.79609e39i | −0.782183 | − | 1.35478i | −0.930667 | − | 0.365867i | \(-0.880773\pi\) |
0.148484 | − | 0.988915i | \(-0.452561\pi\) | |||||||
\(500\) | 2.20812e38 | − | 3.82458e38i | 0.161792 | − | 0.280233i | ||||
\(501\) | −3.84406e38 | + | 6.65811e38i | −0.273617 | + | 0.473919i | ||||
\(502\) | 1.63041e39 | + | 2.82395e39i | 1.12744 | + | 1.95278i | ||||
\(503\) | −7.36308e38 | −0.494680 | −0.247340 | − | 0.968929i | \(-0.579556\pi\) | ||||
−0.247340 | + | 0.968929i | \(0.579556\pi\) | |||||||
\(504\) | 3.68096e38 | − | 1.40052e39i | 0.240280 | − | 0.914208i | ||||
\(505\) | 3.50003e38 | 0.221997 | ||||||||
\(506\) | −2.16279e39 | − | 3.74606e39i | −1.33300 | − | 2.30883i | ||||
\(507\) | −2.03150e37 | + | 3.51867e37i | −0.0121675 | + | 0.0210748i | ||||
\(508\) | 1.50067e39 | − | 2.59924e39i | 0.873499 | − | 1.51294i | ||||
\(509\) | −6.31699e38 | − | 1.09414e39i | −0.357357 | − | 0.618961i | 0.630161 | − | 0.776464i | \(-0.282989\pi\) |
−0.987518 | + | 0.157504i | \(0.949655\pi\) | |||||||
\(510\) | 6.61875e38 | 0.363922 | ||||||||
\(511\) | 2.32258e38 | − | 6.34257e37i | 0.124128 | − | 0.0338971i | ||||
\(512\) | 2.26324e39 | 1.17575 | ||||||||
\(513\) | 2.91940e38 | + | 5.05654e38i | 0.147432 | + | 0.255359i | ||||
\(514\) | −6.98403e38 | + | 1.20967e39i | −0.342879 | + | 0.593884i | ||||
\(515\) | −1.99702e39 | + | 3.45895e39i | −0.953188 | + | 1.65097i | ||||
\(516\) | −1.47712e39 | − | 2.55844e39i | −0.685479 | − | 1.18729i | ||||
\(517\) | −2.63016e39 | −1.18678 | ||||||||
\(518\) | 6.05658e39 | − | 1.65395e39i | 2.65733 | − | 0.725671i | ||||
\(519\) | 1.16233e39 | 0.495909 | ||||||||
\(520\) | −4.61834e39 | − | 7.99919e39i | −1.91618 | − | 3.31893i | ||||
\(521\) | 8.29921e38 | − | 1.43746e39i | 0.334880 | − | 0.580030i | −0.648582 | − | 0.761145i | \(-0.724637\pi\) |
0.983462 | + | 0.181116i | \(0.0579708\pi\) | |||||||
\(522\) | 1.35768e39 | − | 2.35157e39i | 0.532813 | − | 0.922860i | ||||
\(523\) | −1.17190e39 | − | 2.02979e39i | −0.447317 | − | 0.774776i | 0.550893 | − | 0.834576i | \(-0.314287\pi\) |
−0.998210 | + | 0.0597999i | \(0.980954\pi\) | |||||||
\(524\) | 7.28582e39 | 2.70504 | ||||||||
\(525\) | 3.68472e38 | − | 1.40195e39i | 0.133074 | − | 0.506316i | ||||
\(526\) | 4.62845e39 | 1.62608 | ||||||||
\(527\) | 5.47787e38 | + | 9.48795e38i | 0.187223 | + | 0.324279i | ||||
\(528\) | 3.12454e39 | − | 5.41186e39i | 1.03895 | − | 1.79951i | ||||
\(529\) | −3.49948e38 | + | 6.06128e38i | −0.113213 | + | 0.196091i | ||||
\(530\) | 4.76458e39 | + | 8.25249e39i | 1.49977 | + | 2.59768i | ||||
\(531\) | −2.23033e38 | −0.0683123 | ||||||||
\(532\) | −9.17833e39 | − | 9.09094e39i | −2.73555 | − | 2.70950i | ||||
\(533\) | −7.93633e38 | −0.230184 | ||||||||
\(534\) | 2.46127e39 | + | 4.26304e39i | 0.694721 | + | 1.20329i | ||||
\(535\) | −1.05430e39 | + | 1.82611e39i | −0.289625 | + | 0.501646i | ||||
\(536\) | −5.48347e39 | + | 9.49766e39i | −1.46611 | + | 2.53938i | ||||
\(537\) | −3.01453e38 | − | 5.22133e38i | −0.0784500 | − | 0.135879i | ||||
\(538\) | −9.85400e39 | −2.49614 | ||||||||
\(539\) | −4.53568e39 | − | 2.56114e39i | −1.11842 | − | 0.631533i | ||||
\(540\) | −2.78204e39 | −0.667812 | ||||||||
\(541\) | 4.02158e39 | + | 6.96558e39i | 0.939802 | + | 1.62779i | 0.765838 | + | 0.643033i | \(0.222324\pi\) |
0.173964 | + | 0.984752i | \(0.444342\pi\) | |||||||
\(542\) | −4.80127e39 | + | 8.31604e39i | −1.09236 | + | 1.89203i | ||||
\(543\) | −8.77169e38 | + | 1.51930e39i | −0.194306 | + | 0.336548i | ||||
\(544\) | 1.36416e39 | + | 2.36280e39i | 0.294227 | + | 0.509616i | ||||
\(545\) | −6.55744e39 | −1.37716 | ||||||||
\(546\) | 3.67936e39 | + | 3.64432e39i | 0.752452 | + | 0.745287i | ||||
\(547\) | 3.08330e39 | 0.614043 | 0.307022 | − | 0.951703i | \(-0.400668\pi\) | ||||
0.307022 | + | 0.951703i | \(0.400668\pi\) | |||||||
\(548\) | −4.90347e38 | − | 8.49306e38i | −0.0951011 | − | 0.164720i | ||||
\(549\) | 5.45870e37 | − | 9.45474e37i | 0.0103107 | − | 0.0178587i | ||||
\(550\) | 5.93276e39 | − | 1.02758e40i | 1.09143 | − | 1.89042i | ||||
\(551\) | −7.29222e39 | − | 1.26305e40i | −1.30666 | − | 2.26320i | ||||
\(552\) | −1.03884e40 | −1.81314 | ||||||||
\(553\) | −1.98617e39 | + | 7.55691e39i | −0.337678 | + | 1.28478i | ||||
\(554\) | 2.26776e39 | 0.375583 | ||||||||
\(555\) | −3.63104e39 | − | 6.28914e39i | −0.585845 | − | 1.01471i | ||||
\(556\) | −1.04744e40 | + | 1.81421e40i | −1.64643 | + | 2.85170i | ||||
\(557\) | 5.31143e39 | − | 9.19967e39i | 0.813414 | − | 1.40887i | −0.0970478 | − | 0.995280i | \(-0.530940\pi\) |
0.910461 | − | 0.413594i | \(-0.135727\pi\) | |||||||
\(558\) | −3.21874e39 | − | 5.57502e39i | −0.480275 | − | 0.831861i | ||||
\(559\) | 6.36086e39 | 0.924793 | ||||||||
\(560\) | 2.63474e40 | − | 7.19501e39i | 3.73260 | − | 1.01931i | ||||
\(561\) | −1.30824e39 | −0.180604 | ||||||||
\(562\) | 1.18377e40 | + | 2.05035e40i | 1.59254 | + | 2.75836i | ||||
\(563\) | 4.63872e39 | − | 8.03450e39i | 0.608172 | − | 1.05338i | −0.383370 | − | 0.923595i | \(-0.625237\pi\) |
0.991542 | − | 0.129789i | \(-0.0414302\pi\) | |||||||
\(564\) | −5.24580e39 | + | 9.08599e39i | −0.670293 | + | 1.16098i | ||||
\(565\) | −1.86953e39 | − | 3.23812e39i | −0.232825 | − | 0.403265i | ||||
\(566\) | 9.26276e39 | 1.12435 | ||||||||
\(567\) | 9.05928e38 | − | 2.47393e38i | 0.107186 | − | 0.0292707i | ||||
\(568\) | −1.02087e40 | −1.17739 | ||||||||
\(569\) | 7.82720e39 | + | 1.35571e40i | 0.879992 | + | 1.52419i | 0.851348 | + | 0.524601i | \(0.175785\pi\) |
0.0286437 | + | 0.999590i | \(0.490881\pi\) | |||||||
\(570\) | −1.04444e40 | + | 1.80902e40i | −1.14471 | + | 1.98270i | ||||
\(571\) | 1.66507e38 | − | 2.88398e38i | 0.0177913 | − | 0.0308154i | −0.856993 | − | 0.515329i | \(-0.827670\pi\) |
0.874784 | + | 0.484513i | \(0.161003\pi\) | |||||||
\(572\) | 1.51619e40 | + | 2.62611e40i | 1.57947 | + | 2.73572i | ||||
\(573\) | 8.20195e39 | 0.833057 | ||||||||
\(574\) | 1.13150e39 | − | 4.30508e39i | 0.112055 | − | 0.426343i | ||||
\(575\) | −1.03990e40 | −1.00417 | ||||||||
\(576\) | −3.05597e39 | − | 5.29309e39i | −0.287755 | − | 0.498406i | ||||
\(577\) | −5.92622e39 | + | 1.02645e40i | −0.544162 | + | 0.942517i | 0.454497 | + | 0.890748i | \(0.349819\pi\) |
−0.998659 | + | 0.0517684i | \(0.983514\pi\) | |||||||
\(578\) | −9.84477e39 | + | 1.70516e40i | −0.881560 | + | 1.52691i | ||||
\(579\) | 6.57733e38 | + | 1.13923e39i | 0.0574395 | + | 0.0994881i | ||||
\(580\) | 6.94913e40 | 5.91867 | ||||||||
\(581\) | −7.56481e39 | − | 7.49278e39i | −0.628411 | − | 0.622428i | ||||
\(582\) | 7.35485e39 | 0.595923 | ||||||||
\(583\) | −9.41751e39 | − | 1.63116e40i | −0.744290 | − | 1.28915i | ||||
\(584\) | 2.36654e39 | − | 4.09897e39i | 0.182443 | − | 0.316001i | ||||
\(585\) | 2.99505e39 | − | 5.18758e39i | 0.225239 | − | 0.390126i | ||||
\(586\) | 3.69287e39 | + | 6.39623e39i | 0.270924 | + | 0.469255i | ||||
\(587\) | −9.72926e39 | −0.696350 | −0.348175 | − | 0.937430i | \(-0.613198\pi\) | ||||
−0.348175 | + | 0.937430i | \(0.613198\pi\) | |||||||
\(588\) | −1.78939e40 | + | 1.05606e40i | −1.24949 | + | 0.737422i | ||||
\(589\) | −3.45763e40 | −2.35563 | ||||||||
\(590\) | −3.98959e39 | − | 6.91018e39i | −0.265201 | − | 0.459341i | ||||
\(591\) | −3.64824e39 | + | 6.31894e39i | −0.236628 | + | 0.409851i | ||||
\(592\) | 3.25344e40 | − | 5.63513e40i | 2.05911 | − | 3.56648i | ||||
\(593\) | 6.50407e39 | + | 1.12654e40i | 0.401691 | + | 0.695750i | 0.993930 | − | 0.110013i | \(-0.0350892\pi\) |
−0.592239 | + | 0.805762i | \(0.701756\pi\) | |||||||
\(594\) | 7.68709e39 | 0.463296 | ||||||||
\(595\) | −4.06237e39 | − | 4.02369e39i | −0.238937 | − | 0.236662i | ||||
\(596\) | 2.44064e39 | 0.140098 | ||||||||
\(597\) | −4.82047e39 | − | 8.34930e39i | −0.270061 | − | 0.467759i | ||||
\(598\) | 1.85757e40 | − | 3.21740e40i | 1.01573 | − | 1.75929i | ||||
\(599\) | −1.01171e40 | + | 1.75233e40i | −0.539967 | + | 0.935250i | 0.458938 | + | 0.888468i | \(0.348230\pi\) |
−0.998905 | + | 0.0467820i | \(0.985103\pi\) | |||||||
\(600\) | −1.42482e40 | − | 2.46787e40i | −0.742280 | − | 1.28567i | ||||
\(601\) | −8.89478e39 | −0.452330 | −0.226165 | − | 0.974089i | \(-0.572619\pi\) | ||||
−0.226165 | + | 0.974089i | \(0.572619\pi\) | |||||||
\(602\) | −9.06883e39 | + | 3.45047e40i | −0.450196 | + | 1.71289i | ||||
\(603\) | −7.11221e39 | −0.344670 | ||||||||
\(604\) | −1.08193e40 | − | 1.87395e40i | −0.511874 | − | 0.886591i | ||||
\(605\) | −9.71142e39 | + | 1.68207e40i | −0.448570 | + | 0.776945i | ||||
\(606\) | −1.92886e39 | + | 3.34088e39i | −0.0869856 | + | 0.150663i | ||||
\(607\) | −1.39696e40 | − | 2.41961e40i | −0.615104 | − | 1.06539i | −0.990366 | − | 0.138472i | \(-0.955781\pi\) |
0.375262 | − | 0.926919i | \(-0.377553\pi\) | |||||||
\(608\) | −8.61060e40 | −3.70196 | ||||||||
\(609\) | −2.26287e40 | + | 6.17952e39i | −0.949970 | + | 0.259420i | ||||
\(610\) | 3.90579e39 | 0.160113 | ||||||||
\(611\) | −1.12949e40 | − | 1.95634e40i | −0.452153 | − | 0.783151i | ||||
\(612\) | −2.60926e39 | + | 4.51938e39i | −0.102005 | + | 0.176678i | ||||
\(613\) | −1.12027e40 | + | 1.94037e40i | −0.427707 | + | 0.740811i | −0.996669 | − | 0.0815534i | \(-0.974012\pi\) |
0.568962 | + | 0.822364i | \(0.307345\pi\) | |||||||
\(614\) | 3.36641e40 | + | 5.83080e40i | 1.25524 | + | 2.17414i | ||||
\(615\) | −5.14875e39 | −0.187505 | ||||||||
\(616\) | −9.87816e40 | + | 2.69755e40i | −3.51363 | + | 0.959511i | ||||
\(617\) | −8.54137e39 | −0.296751 | −0.148376 | − | 0.988931i | \(-0.547405\pi\) | ||||
−0.148376 | + | 0.988931i | \(0.547405\pi\) | |||||||
\(618\) | −2.20111e40 | − | 3.81244e40i | −0.746980 | − | 1.29381i | ||||
\(619\) | −3.91526e39 | + | 6.78143e39i | −0.129791 | + | 0.224805i | −0.923596 | − | 0.383368i | \(-0.874764\pi\) |
0.793804 | + | 0.608173i | \(0.208097\pi\) | |||||||
\(620\) | 8.23738e40 | − | 1.42676e41i | 2.66753 | − | 4.62030i | ||||
\(621\) | −3.36850e39 | − | 5.83442e39i | −0.106564 | − | 0.184574i | ||||
\(622\) | 9.06097e40 | 2.80036 | ||||||||
\(623\) | 1.08096e40 | − | 4.11278e40i | 0.326386 | − | 1.24182i | ||||
\(624\) | 5.36719e40 | 1.58333 | ||||||||
\(625\) | 1.88140e40 | + | 3.25869e40i | 0.542277 | + | 0.939252i | ||||
\(626\) | 3.83620e40 | − | 6.64450e40i | 1.08037 | − | 1.87126i | ||||
\(627\) | 2.06440e40 | − | 3.57565e40i | 0.568087 | − | 0.983956i | ||||
\(628\) | −9.05917e39 | − | 1.56909e40i | −0.243598 | − | 0.421924i | ||||
\(629\) | −1.36221e40 | −0.357940 | ||||||||
\(630\) | 2.38701e40 | + | 2.36428e40i | 0.612937 | + | 0.607101i | ||||
\(631\) | 5.23641e40 | 1.31404 | 0.657019 | − | 0.753874i | \(-0.271817\pi\) | ||||
0.657019 | + | 0.753874i | \(0.271817\pi\) | |||||||
\(632\) | 7.68022e40 | + | 1.33025e41i | 1.88355 | + | 3.26240i | ||||
\(633\) | 2.20113e40 | − | 3.81248e40i | 0.527585 | − | 0.913805i | ||||
\(634\) | 3.65456e39 | − | 6.32989e39i | 0.0856133 | − | 0.148287i | ||||
\(635\) | 2.09623e40 | + | 3.63078e40i | 0.479977 | + | 0.831344i | ||||
\(636\) | −7.51322e40 | −1.68151 | ||||||||
\(637\) | −4.27989e38 | − | 4.47353e40i | −0.00936290 | − | 0.978654i | ||||
\(638\) | −1.92012e41 | −4.10609 | ||||||||
\(639\) | −3.31025e39 | − | 5.73353e39i | −0.0691988 | − | 0.119856i | ||||
\(640\) | 2.76989e40 | − | 4.79759e40i | 0.566047 | − | 0.980423i | ||||
\(641\) | −1.69811e39 | + | 2.94121e39i | −0.0339253 | + | 0.0587603i | −0.882490 | − | 0.470332i | \(-0.844134\pi\) |
0.848564 | + | 0.529092i | \(0.177467\pi\) | |||||||
\(642\) | −1.16205e40 | − | 2.01273e40i | −0.226969 | − | 0.393122i | ||||
\(643\) | 4.75524e39 | 0.0908057 | 0.0454028 | − | 0.998969i | \(-0.485543\pi\) | ||||
0.0454028 | + | 0.998969i | \(0.485543\pi\) | |||||||
\(644\) | 1.05903e41 | + | 1.04894e41i | 1.97725 | + | 1.95843i | ||||
\(645\) | 4.12665e40 | 0.753324 | ||||||||
\(646\) | 1.95915e40 | + | 3.39334e40i | 0.349700 | + | 0.605698i | ||||
\(647\) | 5.17763e40 | − | 8.96793e40i | 0.903690 | − | 1.56524i | 0.0810230 | − | 0.996712i | \(-0.474181\pi\) |
0.822667 | − | 0.568524i | \(-0.192485\pi\) | |||||||
\(648\) | 9.23074e39 | − | 1.59881e40i | 0.157543 | − | 0.272872i | ||||
\(649\) | 7.88570e39 | + | 1.36584e40i | 0.131611 | + | 0.227957i | ||||
\(650\) | 1.01910e41 | 1.66331 | ||||||||
\(651\) | −1.41363e40 | + | 5.37851e40i | −0.225637 | + | 0.858495i | ||||
\(652\) | −2.44049e41 | −3.80966 | ||||||||
\(653\) | 3.27693e40 | + | 5.67580e40i | 0.500294 | + | 0.866535i | 1.00000 | 0.000339848i | \(0.000108177\pi\) | |
−0.499706 | + | 0.866195i | \(0.666558\pi\) | |||||||
\(654\) | 3.61379e40 | − | 6.25927e40i | 0.539617 | − | 0.934644i | ||||
\(655\) | −5.08863e40 | + | 8.81377e40i | −0.743194 | + | 1.28725i | ||||
\(656\) | −2.30666e40 | − | 3.99526e40i | −0.329517 | − | 0.570741i | ||||
\(657\) | 3.06947e39 | 0.0428909 | ||||||||
\(658\) | 1.22225e41 | − | 3.33776e40i | 1.67065 | − | 0.456226i | ||||
\(659\) | −8.41104e40 | −1.12463 | −0.562317 | − | 0.826922i | \(-0.690090\pi\) | ||||
−0.562317 | + | 0.826922i | \(0.690090\pi\) | |||||||
\(660\) | 9.83637e40 | + | 1.70371e41i | 1.28661 | + | 2.22848i | ||||
\(661\) | −1.90498e39 | + | 3.29952e39i | −0.0243763 | + | 0.0422211i | −0.877956 | − | 0.478741i | \(-0.841093\pi\) |
0.853580 | + | 0.520962i | \(0.174427\pi\) | |||||||
\(662\) | −1.25937e41 | + | 2.18130e41i | −1.57657 | + | 2.73070i | ||||
\(663\) | −5.61809e39 | − | 9.73082e39i | −0.0688086 | − | 0.119180i | ||||
\(664\) | −2.09315e41 | −2.50820 | ||||||||
\(665\) | 1.74079e41 | − | 4.75379e40i | 2.04095 | − | 0.557347i | ||||
\(666\) | 8.00422e40 | 0.918212 | ||||||||
\(667\) | 8.41403e40 | + | 1.45735e41i | 0.944451 | + | 1.63584i | ||||
\(668\) | 1.08431e41 | − | 1.87807e41i | 1.19095 | − | 2.06278i | ||||
\(669\) | −1.45952e40 | + | 2.52796e40i | −0.156867 | + | 0.271702i | ||||
\(670\) | −1.27223e41 | − | 2.20356e41i | −1.33807 | − | 2.31761i | ||||
\(671\) | −7.72006e39 | −0.0794591 | ||||||||
\(672\) | −3.52039e40 | + | 1.33942e41i | −0.354598 | + | 1.34916i | ||||
\(673\) | 7.99687e40 | 0.788318 | 0.394159 | − | 0.919042i | \(-0.371036\pi\) | ||||
0.394159 | + | 0.919042i | \(0.371036\pi\) | |||||||
\(674\) | −1.76768e41 | − | 3.06172e41i | −1.70544 | − | 2.95390i | ||||
\(675\) | 9.24017e39 | − | 1.60044e40i | 0.0872520 | − | 0.151125i | ||||
\(676\) | 5.73033e39 | − | 9.92521e39i | 0.0529605 | − | 0.0917303i | ||||
\(677\) | −3.22406e40 | − | 5.58424e40i | −0.291654 | − | 0.505159i | 0.682547 | − | 0.730841i | \(-0.260872\pi\) |
−0.974201 | + | 0.225682i | \(0.927539\pi\) | |||||||
\(678\) | 4.12118e40 | 0.364914 | ||||||||
\(679\) | −4.51417e40 | − | 4.47118e40i | −0.391260 | − | 0.387535i | ||||
\(680\) | −1.12404e41 | −0.953680 | ||||||||
\(681\) | 5.53679e40 | + | 9.59000e40i | 0.459859 | + | 0.796500i | ||||
\(682\) | −2.27608e41 | + | 3.94228e41i | −1.85061 | + | 3.20534i | ||||
\(683\) | 5.37304e39 | − | 9.30638e39i | 0.0427681 | − | 0.0740766i | −0.843849 | − | 0.536581i | \(-0.819716\pi\) |
0.886617 | + | 0.462504i | \(0.153049\pi\) | |||||||
\(684\) | −8.23483e40 | − | 1.42631e41i | −0.641713 | − | 1.11148i | ||||
\(685\) | 1.36989e40 | 0.104514 | ||||||||
\(686\) | 2.43278e41 | + | 6.14586e40i | 1.81720 | + | 0.459074i | ||||
\(687\) | 6.35425e40 | 0.464721 | ||||||||
\(688\) | 1.84876e41 | + | 3.20215e41i | 1.32388 | + | 2.29303i | ||||
\(689\) | 8.08849e40 | − | 1.40097e41i | 0.567138 | − | 0.982311i | ||||
\(690\) | 1.20511e41 | − | 2.08731e41i | 0.827399 | − | 1.43310i | ||||
\(691\) | 9.81289e40 | + | 1.69964e41i | 0.659729 | + | 1.14268i | 0.980686 | + | 0.195590i | \(0.0626622\pi\) |
−0.320957 | + | 0.947094i | \(0.604005\pi\) | |||||||
\(692\) | −3.27861e41 | −2.15850 | ||||||||
\(693\) | −4.71808e40 | − | 4.67316e40i | −0.304182 | − | 0.301286i | ||||
\(694\) | 1.35941e41 | 0.858298 | ||||||||
\(695\) | −1.46312e41 | − | 2.53420e41i | −0.904692 | − | 1.56697i | ||||
\(696\) | −2.30570e41 | + | 3.99359e41i | −1.39627 | + | 2.41841i | ||||
\(697\) | −4.82899e39 | + | 8.36405e39i | −0.0286405 | + | 0.0496068i | ||||
\(698\) | −9.71329e40 | − | 1.68239e41i | −0.564239 | − | 0.977290i | ||||
\(699\) | 1.38038e40 | 0.0785382 | ||||||||
\(700\) | −1.03936e41 | + | 3.95451e41i | −0.579221 | + | 2.20380i | ||||
\(701\) | −3.13665e40 | −0.171220 | −0.0856101 | − | 0.996329i | \(-0.527284\pi\) | ||||
−0.0856101 | + | 0.996329i | \(0.527284\pi\) | |||||||
\(702\) | 3.30113e40 | + | 5.71773e40i | 0.176512 | + | 0.305728i | ||||
\(703\) | 2.14957e41 | − | 3.72316e41i | 1.12590 | − | 1.95011i | ||||
\(704\) | −2.16098e41 | + | 3.74292e41i | −1.10878 | + | 1.92047i | ||||
\(705\) | −7.32765e40 | − | 1.26919e41i | −0.368318 | − | 0.637945i | ||||
\(706\) | 1.09248e41 | 0.537953 | ||||||||
\(707\) | 3.21487e40 | − | 8.77925e39i | 0.155089 | − | 0.0423522i | ||||
\(708\) | 6.29116e40 | 0.297337 | ||||||||
\(709\) | 4.43041e39 | + | 7.67370e39i | 0.0205151 | + | 0.0355332i | 0.876101 | − | 0.482128i | \(-0.160136\pi\) |
−0.855586 | + | 0.517661i | \(0.826803\pi\) | |||||||
\(710\) | 1.18427e41 | − | 2.05122e41i | 0.537285 | − | 0.930605i | ||||
\(711\) | −4.98073e40 | + | 8.62687e40i | −0.221403 | + | 0.383481i | ||||
\(712\) | −4.17989e41 | − | 7.23978e41i | −1.82056 | − | 3.15330i | ||||
\(713\) | 3.98954e41 | 1.70265 | ||||||||
\(714\) | 6.07950e40 | − | 1.66021e40i | 0.254240 | − | 0.0694285i | ||||
\(715\) | −4.23580e41 | −1.73579 | ||||||||
\(716\) | 8.50318e40 | + | 1.47279e41i | 0.341462 | + | 0.591430i | ||||
\(717\) | 2.05635e40 | − | 3.56170e40i | 0.0809224 | − | 0.140162i | ||||
\(718\) | −7.24236e39 | + | 1.25441e40i | −0.0279303 | + | 0.0483767i | ||||
\(719\) | 1.78235e41 | + | 3.08711e41i | 0.673632 | + | 1.16677i | 0.976867 | + | 0.213850i | \(0.0686002\pi\) |
−0.303234 | + | 0.952916i | \(0.598066\pi\) | |||||||
\(720\) | 3.48200e41 | 1.28976 | ||||||||
\(721\) | −9.66699e40 | + | 3.67805e41i | −0.350938 | + | 1.33523i | ||||
\(722\) | −7.09835e41 | −2.52562 | ||||||||
\(723\) | −6.58629e40 | − | 1.14078e41i | −0.229687 | − | 0.397829i | ||||
\(724\) | 2.47426e41 | − | 4.28554e41i | 0.845738 | − | 1.46486i | ||||
\(725\) | −2.30806e41 | + | 3.99767e41i | −0.773296 | + | 1.33939i | ||||
\(726\) | −1.07039e41 | − | 1.85397e41i | −0.351528 | − | 0.608865i | ||||
\(727\) | −1.42583e41 | −0.459007 | −0.229503 | − | 0.973308i | \(-0.573710\pi\) | ||||
−0.229503 | + | 0.973308i | \(0.573710\pi\) | |||||||
\(728\) | −6.24853e41 | − | 6.18903e41i | −1.97184 | − | 1.95307i | ||||
\(729\) | 1.19725e40 | 0.0370370 | ||||||||
\(730\) | 5.49063e40 | + | 9.51006e40i | 0.166510 | + | 0.288404i | ||||
\(731\) | 3.87037e40 | − | 6.70368e40i | 0.115067 | − | 0.199302i | ||||
\(732\) | −1.53975e40 | + | 2.66693e40i | −0.0448787 | + | 0.0777321i | ||||
\(733\) | 1.58916e40 | + | 2.75251e40i | 0.0454110 | + | 0.0786542i | 0.887838 | − | 0.460157i | \(-0.152207\pi\) |
−0.842426 | + | 0.538811i | \(0.818874\pi\) | |||||||
\(734\) | −3.89734e41 | −1.09188 | ||||||||
\(735\) | −2.77661e39 | − | 2.90224e41i | −0.00762689 | − | 0.797198i | ||||
\(736\) | 9.93521e41 | 2.67577 | ||||||||
\(737\) | 2.51464e41 | + | 4.35549e41i | 0.664045 | + | 1.15016i | ||||
\(738\) | 2.83746e40 | − | 4.91463e40i | 0.0734705 | − | 0.127255i | ||||
\(739\) | −5.35725e40 | + | 9.27904e40i | −0.136018 | + | 0.235591i | −0.925986 | − | 0.377558i | \(-0.876764\pi\) |
0.789968 | + | 0.613149i | \(0.210097\pi\) | |||||||
\(740\) | 1.02422e42 | + | 1.77400e42i | 2.54995 | + | 4.41665i | ||||
\(741\) | 3.54614e41 | 0.865748 | ||||||||
\(742\) | 6.44639e41 | + | 6.38501e41i | 1.54333 | + | 1.52864i | ||||
\(743\) | 1.31136e41 | 0.307882 | 0.153941 | − | 0.988080i | \(-0.450803\pi\) | ||||
0.153941 | + | 0.988080i | \(0.450803\pi\) | |||||||
\(744\) | 5.46628e41 | + | 9.46787e41i | 1.25859 | + | 2.17994i | ||||
\(745\) | −1.70461e40 | + | 2.95248e40i | −0.0384911 | + | 0.0666685i | ||||
\(746\) | 4.95611e40 | − | 8.58424e40i | 0.109756 | − | 0.190103i | ||||
\(747\) | −6.78717e40 | − | 1.17557e41i | −0.147415 | − | 0.255329i | ||||
\(748\) | 3.69020e41 | 0.786097 | ||||||||
\(749\) | −5.10357e40 | + | 1.94178e41i | −0.106632 | + | 0.405709i | ||||
\(750\) | −6.79930e40 | −0.139340 | ||||||||
\(751\) | 3.47278e41 | + | 6.01504e41i | 0.698069 | + | 1.20909i | 0.969135 | + | 0.246531i | \(0.0792906\pi\) |
−0.271066 | + | 0.962561i | \(0.587376\pi\) | |||||||
\(752\) | 6.56564e41 | − | 1.13720e42i | 1.29455 | − | 2.24223i | ||||
\(753\) | 1.79565e41 | − | 3.11015e41i | 0.347291 | − | 0.601526i | ||||
\(754\) | −8.24574e41 | − | 1.42820e42i | −1.56439 | − | 2.70960i | ||||
\(755\) | 3.02260e41 | 0.562536 | ||||||||
\(756\) | −2.55538e41 | + | 6.97829e40i | −0.466540 | + | 0.127404i | ||||
\(757\) | 8.15155e41 | 1.45999 | 0.729995 | − | 0.683453i | \(-0.239522\pi\) | ||||
0.729995 | + | 0.683453i | \(0.239522\pi\) | |||||||
\(758\) | −7.11919e41 | − | 1.23308e42i | −1.25091 | − | 2.16665i | ||||
\(759\) | −2.38198e41 | + | 4.12571e41i | −0.410613 | + | 0.711202i | ||||
\(760\) | 1.77373e42 | − | 3.07220e42i | 2.99979 | − | 5.19579i | ||||
\(761\) | −2.56566e41 | − | 4.44386e41i | −0.425718 | − | 0.737365i | 0.570769 | − | 0.821111i | \(-0.306645\pi\) |
−0.996487 | + | 0.0837454i | \(0.973312\pi\) | |||||||
\(762\) | −4.62091e41 | −0.752282 | ||||||||
\(763\) | −6.02318e41 | + | 1.64483e41i | −0.962099 | + | 0.262733i | ||||
\(764\) | −2.31355e42 | −3.62597 | ||||||||
\(765\) | −3.64478e40 | − | 6.31294e40i | −0.0560506 | − | 0.0970824i | ||||
\(766\) | −9.34531e41 | + | 1.61866e42i | −1.41019 | + | 2.44251i | ||||
\(767\) | −6.77285e40 | + | 1.17309e41i | −0.100286 | + | 0.173700i | ||||
\(768\) | −3.77256e40 | − | 6.53427e40i | −0.0548149 | − | 0.0949422i | ||||
\(769\) | 2.52785e41 | 0.360428 | 0.180214 | − | 0.983627i | \(-0.442321\pi\) | ||||
0.180214 | + | 0.983627i | \(0.442321\pi\) | |||||||
\(770\) | 6.03908e41 | − | 2.29772e42i | 0.844997 | − | 3.21501i | ||||
\(771\) | 1.53837e41 | 0.211238 | ||||||||
\(772\) | −1.85529e41 | − | 3.21345e41i | −0.250012 | − | 0.433033i | ||||
\(773\) | −1.59707e41 | + | 2.76621e41i | −0.211214 | + | 0.365833i | −0.952095 | − | 0.305803i | \(-0.901075\pi\) |
0.740881 | + | 0.671637i | \(0.234408\pi\) | |||||||
\(774\) | −2.27419e41 | + | 3.93901e41i | −0.295177 | + | 0.511262i | ||||
\(775\) | 5.47187e41 | + | 9.47755e41i | 0.697045 | + | 1.20732i | ||||
\(776\) | −1.24905e42 | −1.56165 | ||||||||
\(777\) | −4.91273e41 | − | 4.86595e41i | −0.602862 | − | 0.597122i | ||||
\(778\) | 1.73206e42 | 2.08621 | ||||||||
\(779\) | −1.52403e41 | − | 2.63969e41i | −0.180177 | − | 0.312076i | ||||
\(780\) | −8.44823e41 | + | 1.46328e42i | −0.980379 | + | 1.69807i | ||||
\(781\) | −2.34079e41 | + | 4.05437e41i | −0.266638 | + | 0.461831i | ||||
\(782\) | −2.26053e41 | − | 3.91536e41i | −0.252763 | − | 0.437798i | ||||
\(783\) | −2.99056e41 | −0.328251 | ||||||||
\(784\) | 2.23960e42 | − | 1.32176e42i | 2.41317 | − | 1.42420i | ||||
\(785\) | 2.53088e41 | 0.267708 | ||||||||
\(786\) | −5.60866e41 | − | 9.71449e41i | −0.582415 | − | 1.00877i | ||||
\(787\) | −6.81611e41 | + | 1.18058e42i | −0.694869 | + | 1.20355i | 0.275356 | + | 0.961342i | \(0.411204\pi\) |
−0.970225 | + | 0.242206i | \(0.922129\pi\) | |||||||
\(788\) | 1.02907e42 | − | 1.78240e42i | 1.02995 | − | 1.78392i | ||||
\(789\) | −2.54877e41 | − | 4.41460e41i | −0.250446 | − | 0.433785i | ||||
\(790\) | −3.56379e42 | −3.43811 | ||||||||
\(791\) | −2.52944e41 | − | 2.50536e41i | −0.239588 | − | 0.237307i | ||||
\(792\) | −1.30547e42 | −1.21409 | ||||||||
\(793\) | −3.31529e40 | − | 5.74225e40i | −0.0302733 | − | 0.0524349i | ||||
\(794\) | −1.77710e42 | + | 3.07802e42i | −1.59336 | + | 2.75978i | ||||
\(795\) | 5.24746e41 | − | 9.08887e41i | 0.461983 | − | 0.800178i | ||||
\(796\) | 1.35972e42 | + | 2.35511e42i | 1.17547 | + | 2.03597i | ||||
\(797\) | −1.11273e42 | −0.944592 | −0.472296 | − | 0.881440i | \(-0.656575\pi\) | ||||
−0.472296 | + | 0.881440i | \(0.656575\pi\) | |||||||
\(798\) | −5.05581e41 | + | 1.92361e42i | −0.421452 | + | 1.60352i | ||||
\(799\) | −2.74903e41 | −0.225035 | ||||||||
\(800\) | 1.36267e42 | + | 2.36021e42i | 1.09543 | + | 1.89734i | ||||
\(801\) | 2.71071e41 | − | 4.69509e41i | 0.213999 | − | 0.370657i | ||||
\(802\) | 1.01557e42 | − | 1.75901e42i | 0.787371 | − | 1.36377i | ||||
\(803\) | −1.08526e41 | − | 1.87973e41i | −0.0826340 | − | 0.143126i | ||||
\(804\) | 2.00616e42 | 1.50022 | ||||||||
\(805\) | −2.00858e42 | + | 5.48509e41i | −1.47519 | + | 0.402850i | ||||
\(806\) | −3.90974e42 | −2.82027 | ||||||||
\(807\) | 5.42634e41 | + | 9.39870e41i | 0.384451 | + | 0.665889i | ||||
\(808\) | 3.27571e41 | − | 5.67370e41i | 0.227951 | − | 0.394823i | ||||
\(809\) | 8.18087e41 | − | 1.41697e42i | 0.559172 | − | 0.968515i | −0.438393 | − | 0.898783i | \(-0.644452\pi\) |
0.997566 | − | 0.0697318i | \(-0.0222144\pi\) | |||||||
\(810\) | 2.14163e41 | + | 3.70942e41i | 0.143785 | + | 0.249042i | ||||
\(811\) | −8.50334e41 | −0.560773 | −0.280387 | − | 0.959887i | \(-0.590463\pi\) | ||||
−0.280387 | + | 0.959887i | \(0.590463\pi\) | |||||||
\(812\) | 6.38296e42 | − | 1.74307e42i | 4.13485 | − | 1.12916i | ||||
\(813\) | 1.05757e42 | 0.672974 | ||||||||
\(814\) | −2.83003e42 | − | 4.90175e42i | −1.76904 | − | 3.06406i | ||||
\(815\) | 1.70451e42 | − | 2.95230e42i | 1.04668 | − | 1.81290i | ||||
\(816\) | 3.26575e41 | − | 5.65645e41i | 0.197005 | − | 0.341222i | ||||
\(817\) | 1.22149e42 | + | 2.11568e42i | 0.723884 | + | 1.25380i | ||||
\(818\) | 3.14225e42 | 1.82944 | ||||||||
\(819\) | 1.44981e41 | − | 5.51619e41i | 0.0829270 | − | 0.315517i | ||||
\(820\) | 1.45232e42 | 0.816135 | ||||||||
\(821\) | 3.42755e41 | + | 5.93669e41i | 0.189238 | + | 0.327770i | 0.944996 | − | 0.327081i | \(-0.106065\pi\) |
−0.755758 | + | 0.654850i | \(0.772732\pi\) | |||||||
\(822\) | −7.54944e40 | + | 1.30760e41i | −0.0409519 | + | 0.0709307i | ||||
\(823\) | −1.12138e42 | + | 1.94229e42i | −0.597661 | + | 1.03518i | 0.395504 | + | 0.918464i | \(0.370570\pi\) |
−0.993165 | + | 0.116715i | \(0.962764\pi\) | |||||||
\(824\) | 3.73807e42 | + | 6.47453e42i | 1.95751 | + | 3.39050i | ||||
\(825\) | −1.30681e42 | −0.672402 | ||||||||
\(826\) | −5.39785e41 | − | 5.34646e41i | −0.272904 | − | 0.270306i | ||||
\(827\) | −1.18761e42 | −0.589991 | −0.294996 | − | 0.955499i | \(-0.595318\pi\) | ||||
−0.294996 | + | 0.955499i | \(0.595318\pi\) | |||||||
\(828\) | 9.50164e41 | + | 1.64573e42i | 0.463830 | + | 0.803377i | ||||
\(829\) | −1.79163e42 | + | 3.10319e42i | −0.859423 | + | 1.48856i | 0.0130567 | + | 0.999915i | \(0.495844\pi\) |
−0.872480 | + | 0.488650i | \(0.837490\pi\) | |||||||
\(830\) | 2.42817e42 | − | 4.20571e42i | 1.14458 | − | 1.98247i | ||||
\(831\) | −1.24880e41 | − | 2.16298e41i | −0.0578465 | − | 0.100193i | ||||
\(832\) | −3.71203e42 | −1.68975 | ||||||||
\(833\) | −4.74067e41 | − | 2.67689e41i | −0.212074 | − | 0.119751i | ||||
\(834\) | 3.22529e42 | 1.41795 | ||||||||
\(835\) | 1.51462e42 | + | 2.62340e42i | 0.654411 | + | 1.13347i | ||||
\(836\) | −5.82312e42 | + | 1.00859e43i | −2.47266 | + | 4.28278i | ||||
\(837\) | −3.54496e41 | + | 6.14004e41i | −0.147942 | + | 0.256243i | ||||
\(838\) | −3.31074e42 | − | 5.73437e42i | −1.35796 | − | 2.35206i | ||||
\(839\) | −7.09530e41 | −0.286037 | −0.143019 | − | 0.989720i | \(-0.545681\pi\) | ||||
−0.143019 | + | 0.989720i | \(0.545681\pi\) | |||||||
\(840\) | −4.05378e42 | − | 4.01518e42i | −1.60624 | − | 1.59094i | ||||
\(841\) | 4.90229e42 | 1.90922 | ||||||||
\(842\) | 2.19379e42 | + | 3.79975e42i | 0.839787 | + | 1.45455i | ||||
\(843\) | 1.30374e42 | − | 2.25814e42i | 0.490559 | − | 0.849673i | ||||
\(844\) | −6.20881e42 | + | 1.07540e43i | −2.29637 | + | 3.97744i | ||||
\(845\) | 8.00446e40 | + | 1.38641e41i | 0.0291011 | + | 0.0504046i | ||||
\(846\) | 1.61530e42 | 0.577275 | ||||||||
\(847\) | −4.70100e41 | + | 1.78862e42i | −0.165151 | + | 0.628359i | ||||
\(848\) | 9.40355e42 | 3.24752 | ||||||||
\(849\) | −5.10076e41 | − | 8.83478e41i | −0.173170 | − | 0.299940i | ||||
\(850\) | 6.20089e41 | − | 1.07403e42i | 0.206957 | − | 0.358460i | ||||
\(851\) | −2.48025e42 | + | 4.29592e42i | −0.813799 | + | 1.40954i | ||||
\(852\) | 9.33733e41 | + | 1.61727e42i | 0.301195 | + | 0.521686i | ||||
\(853\) | −2.88917e42 | −0.916247 | −0.458124 | − | 0.888888i | \(-0.651478\pi\) | ||||
−0.458124 | + | 0.888888i | \(0.651478\pi\) | |||||||
\(854\) | 3.58757e41 | − | 9.79703e40i | 0.111856 | − | 0.0305461i | ||||
\(855\) | 2.30058e42 | 0.705227 | ||||||||
\(856\) | 1.97347e42 | + | 3.41815e42i | 0.594786 | + | 1.03020i | ||||
\(857\) | 8.43568e41 | − | 1.46110e42i | 0.249976 | − | 0.432971i | −0.713543 | − | 0.700612i | \(-0.752911\pi\) |
0.963519 | + | 0.267640i | \(0.0862439\pi\) | |||||||
\(858\) | 2.33434e42 | − | 4.04320e42i | 0.680141 | − | 1.17804i | ||||
\(859\) | 2.57071e41 | + | 4.45260e41i | 0.0736465 | + | 0.127560i | 0.900497 | − | 0.434862i | \(-0.143203\pi\) |
−0.826850 | + | 0.562422i | \(0.809870\pi\) | |||||||
\(860\) | −1.16402e43 | −3.27893 | ||||||||
\(861\) | −4.72926e41 | + | 1.29148e41i | −0.130993 | + | 0.0357719i | ||||
\(862\) | −9.32513e42 | −2.53980 | ||||||||
\(863\) | −2.60198e42 | − | 4.50676e42i | −0.696864 | − | 1.20700i | −0.969548 | − | 0.244900i | \(-0.921245\pi\) |
0.272685 | − | 0.962103i | \(-0.412088\pi\) | |||||||
\(864\) | −8.82807e41 | + | 1.52907e42i | −0.232496 | + | 0.402696i | ||||
\(865\) | 2.28988e42 | − | 3.96619e42i | 0.593034 | − | 1.02716i | ||||
\(866\) | 1.66010e42 | + | 2.87538e42i | 0.422791 | + | 0.732296i | ||||
\(867\) | 2.16850e42 | 0.543104 | ||||||||
\(868\) | 3.98746e42 | − | 1.51713e43i | 0.982112 | − | 3.73670i | ||||
\(869\) | 7.04408e42 | 1.70623 | ||||||||
\(870\) | −5.34948e42 | − | 9.26557e42i | −1.27433 | − | 2.20721i | ||||
\(871\) | −2.15977e42 | + | 3.74083e42i | −0.505992 | + | 0.876404i | ||||
\(872\) | −6.13717e42 | + | 1.06299e43i | −1.41410 | + | 2.44929i | ||||
\(873\) | −4.05013e41 | − | 7.01502e41i | −0.0917829 | − | 0.158973i | ||||
\(874\) | 1.42685e43 | 3.18025 | ||||||||
\(875\) | 4.17319e41 | + | 4.13345e41i | 0.0914853 | + | 0.0906142i | ||||
\(876\) | −8.65814e41 | −0.186687 | ||||||||
\(877\) | −1.00135e42 | − | 1.73439e42i | −0.212369 | − | 0.367835i | 0.740086 | − | 0.672512i | \(-0.234785\pi\) |
−0.952456 | + | 0.304677i | \(0.901451\pi\) | |||||||
\(878\) | 1.32404e42 | − | 2.29331e42i | 0.276205 | − | 0.478401i | ||||
\(879\) | 4.06713e41 | − | 7.04448e41i | 0.0834545 | − | 0.144547i | ||||
\(880\) | −1.23112e43 | − | 2.13236e43i | −2.48486 | − | 4.30390i | ||||
\(881\) | 4.09835e41 | 0.0813690 | 0.0406845 | − | 0.999172i | \(-0.487046\pi\) | ||||
0.0406845 | + | 0.999172i | \(0.487046\pi\) | |||||||
\(882\) | 2.78557e42 | + | 1.57291e42i | 0.544026 | + | 0.307192i | ||||
\(883\) | 2.50159e42 | 0.480603 | 0.240301 | − | 0.970698i | \(-0.422754\pi\) | ||||
0.240301 | + | 0.970698i | \(0.422754\pi\) | |||||||
\(884\) | 1.58471e42 | + | 2.74480e42i | 0.299497 | + | 0.518744i | ||||
\(885\) | −4.39393e41 | + | 7.61052e41i | −0.0816913 | + | 0.141494i | ||||
\(886\) | −7.94672e42 | + | 1.37641e43i | −1.45345 | + | 2.51744i | ||||
\(887\) | −2.73597e42 | − | 4.73884e42i | −0.492288 | − | 0.852668i | 0.507673 | − | 0.861550i | \(-0.330506\pi\) |
−0.999961 | + | 0.00888247i | \(0.997173\pi\) | |||||||
\(888\) | −1.35933e43 | −2.40623 | ||||||||
\(889\) | 2.83616e42 | + | 2.80916e42i | 0.493919 | + | 0.489216i | ||||
\(890\) | 1.93956e43 | 3.32314 | ||||||||
\(891\) | −4.23308e41 | − | 7.33191e41i | −0.0713559 | − | 0.123592i | ||||
\(892\) | 4.11691e42 | − | 7.13070e42i | 0.682781 | − | 1.18261i | ||||
\(893\) | 4.33796e42 | − | 7.51357e42i | 0.707847 | − | 1.22603i | ||||
\(894\) | −1.87882e41 | − | 3.25421e41i | −0.0301641 | − | 0.0522457i | ||||
\(895\) | −2.37555e42 | −0.375258 | ||||||||
\(896\) | 1.34082e42 | − | 5.10149e42i | 0.208403 | − | 0.792923i | ||||
\(897\) | −4.09166e42 | −0.625762 | ||||||||
\(898\) | 1.18100e42 | + | 2.04555e42i | 0.177723 | + | 0.307825i | ||||
\(899\) | 8.85478e42 | − | 1.53369e43i | 1.31118 | − | 2.27103i | ||||
\(900\) | −2.60640e42 | + | 4.51442e42i | −0.379774 | + | 0.657788i | ||||
\(901\) | −9.84314e41 | − | 1.70488e42i | −0.141132 | − | 0.244447i | ||||
\(902\) | −4.01293e42 | −0.566196 | ||||||||
\(903\) | 3.79044e42 | − | 1.03510e42i | 0.526280 | − | 0.143718i | ||||
\(904\) | −6.99885e42 | −0.956279 | ||||||||
\(905\) | 3.45619e42 | + | 5.98630e42i | 0.464722 | + | 0.804922i | ||||
\(906\) | −1.66575e42 | + | 2.88516e42i | −0.220420 | + | 0.381779i | ||||
\(907\) | −4.14929e41 | + | 7.18679e41i | −0.0540342 | + | 0.0935899i | −0.891777 | − | 0.452475i | \(-0.850541\pi\) |
0.837743 | + | 0.546065i | \(0.183875\pi\) | |||||||
\(908\) | −1.56178e43 | − | 2.70508e43i | −2.00159 | − | 3.46685i | ||||
\(909\) | 4.24869e41 | 0.0535894 | ||||||||
\(910\) | 1.96841e43 | − | 5.37539e42i | 2.44352 | − | 0.667282i | ||||
\(911\) | 1.06552e42 | 0.130180 | 0.0650902 | − | 0.997879i | \(-0.479267\pi\) | ||||
0.0650902 | + | 0.997879i | \(0.479267\pi\) | |||||||
\(912\) | 1.03067e43 | + | 1.78517e43i | 1.23935 | + | 2.14662i | ||||
\(913\) | −4.79944e42 | + | 8.31287e42i | −0.568021 | + | 0.983840i | ||||
\(914\) | 1.37756e43 | − | 2.38600e43i | 1.60469 | − | 2.77940i | ||||
\(915\) | −2.15082e41 | − | 3.72532e41i | −0.0246603 | − | 0.0427128i | ||||
\(916\) | −1.79236e43 | −2.02275 | ||||||||
\(917\) | −2.46325e42 | + | 9.37208e42i | −0.273624 | + | 1.04107i | ||||
\(918\) | 8.03451e41 | 0.0878498 | ||||||||
\(919\) | 5.25162e41 | + | 9.09606e41i | 0.0565221 | + | 0.0978991i | 0.892902 | − | 0.450251i | \(-0.148666\pi\) |
−0.836380 | + | 0.548150i | \(0.815332\pi\) | |||||||
\(920\) | −2.04660e43 | + | 3.54481e43i | −2.16825 | + | 3.75551i | ||||
\(921\) | 3.70759e42 | − | 6.42174e42i | 0.386658 | − | 0.669712i | ||||
\(922\) | 6.51687e42 | + | 1.12876e43i | 0.669022 | + | 1.15878i | ||||
\(923\) | −4.02090e42 | −0.406349 | ||||||||
\(924\) | 1.33084e43 | + | 1.31817e43i | 1.32399 | + | 1.31138i | ||||
\(925\) | −1.36072e43 | −1.33264 | ||||||||
\(926\) | 1.08081e43 | + | 1.87202e43i | 1.04206 | + | 1.80489i | ||||
\(927\) | −2.42419e42 | + | 4.19882e42i | −0.230097 | + | 0.398539i | ||||
\(928\) | 2.20512e43 | − | 3.81938e43i | 2.06057 | − | 3.56901i | ||||
\(929\) | 2.58205e42 | + | 4.47224e42i | 0.237540 | + | 0.411432i | 0.960008 | − | 0.279973i | \(-0.0903255\pi\) |
−0.722468 | + | 0.691405i | \(0.756992\pi\) | |||||||
\(930\) | −2.53647e43 | −2.29735 | ||||||||
\(931\) | 1.47972e43 | − | 8.73296e42i | 1.31950 | − | 0.778737i | ||||
\(932\) | −3.89369e42 | −0.341846 | ||||||||
\(933\) | −4.98964e42 | − | 8.64231e42i | −0.431306 | − | 0.747044i | ||||
\(934\) | −1.51504e43 | + | 2.62413e43i | −1.28942 | + | 2.23335i | ||||
\(935\) | −2.57734e42 | + | 4.46409e42i | −0.215975 | + | 0.374080i | ||||
\(936\) | −5.60620e42 | − | 9.71023e42i | −0.462561 | − | 0.801179i | ||||
\(937\) | 7.82828e42 | 0.635978 | 0.317989 | − | 0.948094i | \(-0.396992\pi\) | ||||
0.317989 | + | 0.948094i | \(0.396992\pi\) | |||||||
\(938\) | −1.72130e43 | − | 1.70491e43i | −1.37694 | − | 1.36383i | ||||
\(939\) | −8.44999e42 | −0.665588 | ||||||||
\(940\) | 2.06693e43 | + | 3.58003e43i | 1.60314 | + | 2.77672i | ||||
\(941\) | 1.48890e42 | − | 2.57885e42i | 0.113715 | − | 0.196959i | −0.803551 | − | 0.595236i | \(-0.797058\pi\) |
0.917265 | + | 0.398277i | \(0.130392\pi\) | |||||||
\(942\) | −1.39476e42 | + | 2.41580e42i | −0.104897 | + | 0.181686i | ||||
\(943\) | 1.75848e42 | + | 3.04577e42i | 0.130232 | + | 0.225568i | ||||
\(944\) | −7.87401e42 | −0.574252 | ||||||||
\(945\) | 9.40577e41 | − | 3.57867e42i | 0.0675512 | − | 0.257016i | ||||
\(946\) | 3.21631e43 | 2.27476 | ||||||||
\(947\) | −3.01465e42 | − | 5.22153e42i | −0.209972 | − | 0.363683i | 0.741733 | − | 0.670695i | \(-0.234004\pi\) |
−0.951706 | + | 0.307012i | \(0.900671\pi\) | |||||||
\(948\) | 1.40493e43 | − | 2.43341e43i | 0.963681 | − | 1.66915i | ||||
\(949\) | 9.32106e41 | − | 1.61446e42i | 0.0629659 | − | 0.109060i | ||||
\(950\) | 1.95700e43 | + | 3.38962e43i | 1.30196 | + | 2.25506i | ||||
\(951\) | −8.04990e41 | −0.0527440 | ||||||||
\(952\) | −1.03246e43 | + | 2.81947e42i | −0.666251 | + | 0.181942i | ||||
\(953\) | −1.15157e43 | −0.731889 | −0.365944 | − | 0.930637i | \(-0.619254\pi\) | ||||
−0.365944 | + | 0.930637i | \(0.619254\pi\) | |||||||
\(954\) | 5.78373e42 | + | 1.00177e43i | 0.362040 | + | 0.627071i | ||||
\(955\) | 1.61585e43 | − | 2.79874e43i | 0.996213 | − | 1.72549i | ||||
\(956\) | −5.80040e42 | + | 1.00466e43i | −0.352224 | + | 0.610069i | ||||
\(957\) | 1.05736e43 | + | 1.83140e43i | 0.632412 | + | 1.09537i | ||||
\(958\) | 7.32587e42 | 0.431578 | ||||||||
\(959\) | 1.25828e42 | − | 3.43615e41i | 0.0730143 | − | 0.0199389i | ||||
\(960\) | −2.40820e43 | −1.37645 | ||||||||
\(961\) | −1.21117e43 | − | 2.09780e43i | −0.681890 | − | 1.18107i | ||||
\(962\) | 2.43064e43 | − | 4.21000e43i | 1.34798 | − | 2.33477i | ||||
\(963\) | −1.27982e42 | + | 2.21672e42i | −0.0699147 | + | 0.121096i | ||||
\(964\) | 1.85781e43 | + | 3.21783e43i | 0.999736 | + | 1.73159i | ||||
\(965\) | 5.18315e42 | 0.274757 | ||||||||
\(966\) | 5.83357e42 | − | 2.21953e43i | 0.304625 | − | 1.15903i | ||||
\(967\) | 6.54044e42 | 0.336452 | 0.168226 | − | 0.985748i | \(-0.446196\pi\) | ||||
0.168226 | + | 0.985748i | \(0.446196\pi\) | |||||||
\(968\) | 1.81780e43 | + | 3.14853e43i | 0.921201 | + | 1.59557i | ||||
\(969\) | 2.15770e42 | − | 3.73725e42i | 0.107720 | − | 0.186577i | ||||
\(970\) | 1.44897e43 | − | 2.50968e43i | 0.712636 | − | 1.23432i | ||||
\(971\) | −9.88553e42 | − | 1.71222e43i | −0.478984 | − | 0.829625i | 0.520726 | − | 0.853724i | \(-0.325662\pi\) |
−0.999710 | + | 0.0240994i | \(0.992328\pi\) | |||||||
\(972\) | −3.37712e42 | −0.161208 | ||||||||
\(973\) | −1.97958e43 | − | 1.96073e43i | −0.930971 | − | 0.922107i | ||||
\(974\) | −2.52402e43 | −1.16947 | ||||||||
\(975\) | −5.61193e42 | − | 9.72015e42i | −0.256180 | − | 0.443717i | ||||
\(976\) | 1.92715e42 | − | 3.33793e42i | 0.0866750 | − | 0.150125i | ||||
\(977\) | −1.52185e43 | + | 2.63592e43i | −0.674374 | + | 1.16805i | 0.302277 | + | 0.953220i | \(0.402253\pi\) |
−0.976651 | + | 0.214830i | \(0.931080\pi\) | |||||||
\(978\) | 1.87870e43 | + | 3.25401e43i | 0.820246 | + | 1.42071i | ||||
\(979\) | −3.83367e43 | −1.64917 | ||||||||
\(980\) | 7.83205e41 | + | 8.18642e43i | 0.0331969 | + | 3.46989i | ||||
\(981\) | −7.96008e42 | −0.332443 | ||||||||
\(982\) | 2.64604e43 | + | 4.58308e43i | 1.08888 | + | 1.88600i | ||||
\(983\) | −8.70235e42 | + | 1.50729e43i | −0.352867 | + | 0.611183i | −0.986750 | − | 0.162245i | \(-0.948126\pi\) |
0.633884 | + | 0.773428i | \(0.281460\pi\) | |||||||
\(984\) | −4.81876e42 | + | 8.34635e42i | −0.192534 | + | 0.333478i | ||||
\(985\) | 1.43747e43 | + | 2.48977e43i | 0.565943 | + | 0.980242i | ||||
\(986\) | −2.00690e43 | −0.778594 | ||||||||
\(987\) | −9.91418e42 | − | 9.81978e42i | −0.379016 | − | 0.375408i | ||||
\(988\) | −1.00027e44 | −3.76826 | ||||||||
\(989\) | −1.40940e43 | − | 2.44114e43i | −0.523223 | − | 0.906248i | ||||
\(990\) | 1.51442e43 | − | 2.62305e43i | 0.554033 | − | 0.959614i | ||||
\(991\) | 1.57034e42 | − | 2.71991e42i | 0.0566143 | − | 0.0980588i | −0.836329 | − | 0.548227i | \(-0.815303\pi\) |
0.892944 | + | 0.450169i | \(0.148636\pi\) | |||||||
\(992\) | −5.22782e43 | − | 9.05486e43i | −1.85738 | − | 3.21708i | ||||
\(993\) | 2.77401e43 | 0.971280 | ||||||||
\(994\) | 5.73269e42 | − | 2.18115e43i | 0.197814 | − | 0.752632i | ||||
\(995\) | −3.79869e43 | −1.29181 | ||||||||
\(996\) | 1.91448e43 | + | 3.31597e43i | 0.641638 | + | 1.11135i | ||||
\(997\) | −4.87869e42 | + | 8.45015e42i | −0.161148 | + | 0.279116i | −0.935281 | − | 0.353907i | \(-0.884853\pi\) |
0.774133 | + | 0.633023i | \(0.218186\pi\) | |||||||
\(998\) | 4.50339e43 | − | 7.80010e43i | 1.46604 | − | 2.53926i | ||||
\(999\) | −4.40772e42 | − | 7.63439e42i | −0.141421 | − | 0.244949i |
(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 | 21.30.e.a.4.19 | ✓ | 38 | |
7.2 | even | 3 | inner | 21.30.e.a.16.19 | yes | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.30.e.a.4.19 | ✓ | 38 | 1.1 | even | 1 | trivial | |
21.30.e.a.16.19 | yes | 38 | 7.2 | even | 3 | inner |