Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,13,Mod(3,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.7959134419\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 527434 x^{14} - 31307480 x^{13} + 193554267483 x^{12} - 12267558721140 x^{11} + \cdots + 73\!\cdots\!36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{48}\cdot 3^{8}\cdot 7^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Root | \(-213.975 + 370.616i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.5 |
Dual form | 14.13.d.a.3.1 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −22.6274 | + | 39.1918i | −0.353553 | + | 0.612372i | ||||
\(3\) | −745.979 | + | 430.691i | −1.02329 | + | 0.590797i | −0.915055 | − | 0.403328i | \(-0.867853\pi\) |
−0.108235 | + | 0.994125i | \(0.534520\pi\) | |||||||
\(4\) | −1024.00 | − | 1773.62i | −0.250000 | − | 0.433013i | ||||
\(5\) | −7532.28 | − | 4348.76i | −0.482066 | − | 0.278321i | 0.239211 | − | 0.970968i | \(-0.423111\pi\) |
−0.721277 | + | 0.692647i | \(0.756445\pi\) | |||||||
\(6\) | − | 38981.7i | − | 0.835513i | ||||||
\(7\) | −93774.2 | − | 71047.1i | −0.797067 | − | 0.603891i | ||||
\(8\) | 92681.9 | 0.353553 | ||||||||
\(9\) | 105269. | − | 182331.i | 0.198082 | − | 0.343089i | ||||
\(10\) | 340872. | − | 196803.i | 0.340872 | − | 0.196803i | ||||
\(11\) | 257922. | + | 446735.i | 0.145590 | + | 0.252170i | 0.929593 | − | 0.368587i | \(-0.120158\pi\) |
−0.784003 | + | 0.620758i | \(0.786825\pi\) | |||||||
\(12\) | 1.52776e6 | + | 882055.i | 0.511645 | + | 0.295399i | ||||
\(13\) | 2.74786e6i | 0.569292i | 0.958633 | + | 0.284646i | \(0.0918760\pi\) | ||||
−0.958633 | + | 0.284646i | \(0.908124\pi\) | |||||||
\(14\) | 4.90633e6 | − | 2.06757e6i | 0.651612 | − | 0.274594i | ||||
\(15\) | 7.49190e6 | 0.657725 | ||||||||
\(16\) | −2.09715e6 | + | 3.63237e6i | −0.125000 | + | 0.216506i | ||||
\(17\) | 5.50579e6 | − | 3.17877e6i | 0.228100 | − | 0.131694i | −0.381595 | − | 0.924330i | \(-0.624625\pi\) |
0.609695 | + | 0.792636i | \(0.291292\pi\) | |||||||
\(18\) | 4.76393e6 | + | 8.25138e6i | 0.140065 | + | 0.242600i | ||||
\(19\) | 6.71736e7 | + | 3.87827e7i | 1.42783 | + | 0.824359i | 0.996949 | − | 0.0780497i | \(-0.0248693\pi\) |
0.430882 | + | 0.902408i | \(0.358203\pi\) | |||||||
\(20\) | 1.78125e7i | 0.278321i | ||||||||
\(21\) | 1.00553e8 | + | 1.26120e7i | 1.17241 | + | 0.147051i | ||||
\(22\) | −2.33445e7 | −0.205896 | ||||||||
\(23\) | 5.20289e7 | − | 9.01168e7i | 0.351462 | − | 0.608750i | −0.635044 | − | 0.772476i | \(-0.719018\pi\) |
0.986506 | + | 0.163726i | \(0.0523514\pi\) | |||||||
\(24\) | −6.91387e7 | + | 3.99173e7i | −0.361788 | + | 0.208878i | ||||
\(25\) | −8.42468e7 | − | 1.45920e8i | −0.345075 | − | 0.597687i | ||||
\(26\) | −1.07694e8 | − | 6.21770e7i | −0.348619 | − | 0.201275i | ||||
\(27\) | − | 2.76420e8i | − | 0.713488i | ||||||
\(28\) | −2.99859e7 | + | 2.39072e8i | −0.0622255 | + | 0.496113i | ||||
\(29\) | −1.41564e8 | −0.237994 | −0.118997 | − | 0.992895i | \(-0.537968\pi\) | ||||
−0.118997 | + | 0.992895i | \(0.537968\pi\) | |||||||
\(30\) | −1.69522e8 | + | 2.93621e8i | −0.232541 | + | 0.402772i | ||||
\(31\) | −6.99677e8 | + | 4.03959e8i | −0.788365 | + | 0.455163i | −0.839387 | − | 0.543535i | \(-0.817086\pi\) |
0.0510215 | + | 0.998698i | \(0.483752\pi\) | |||||||
\(32\) | −9.49063e7 | − | 1.64382e8i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −3.84809e8 | − | 2.22170e8i | −0.297963 | − | 0.172029i | ||||
\(34\) | 2.87709e8i | 0.186243i | ||||||||
\(35\) | 3.97366e8 | + | 9.42949e8i | 0.216164 | + | 0.512956i | ||||
\(36\) | −4.31182e8 | −0.198082 | ||||||||
\(37\) | 1.86759e9 | − | 3.23475e9i | 0.727898 | − | 1.26076i | −0.229873 | − | 0.973221i | \(-0.573831\pi\) |
0.957770 | − | 0.287535i | \(-0.0928357\pi\) | |||||||
\(38\) | −3.03993e9 | + | 1.75510e9i | −1.00963 | + | 0.582910i | ||||
\(39\) | −1.18348e9 | − | 2.04985e9i | −0.336336 | − | 0.582551i | ||||
\(40\) | −6.98106e8 | − | 4.03052e8i | −0.170436 | − | 0.0984013i | ||||
\(41\) | − | 4.75235e9i | − | 1.00047i | −0.865889 | − | 0.500236i | \(-0.833246\pi\) | ||
0.865889 | − | 0.500236i | \(-0.166754\pi\) | |||||||
\(42\) | −2.76954e9 | + | 3.65548e9i | −0.504559 | + | 0.665960i | ||||
\(43\) | 8.94118e9 | 1.41444 | 0.707219 | − | 0.706994i | \(-0.249949\pi\) | ||||
0.707219 | + | 0.706994i | \(0.249949\pi\) | |||||||
\(44\) | 5.28225e8 | − | 9.14913e8i | 0.0727952 | − | 0.126085i | ||||
\(45\) | −1.58583e9 | + | 9.15581e8i | −0.190977 | + | 0.110261i | ||||
\(46\) | 2.35456e9 | + | 4.07822e9i | 0.248521 | + | 0.430451i | ||||
\(47\) | 1.79163e10 | + | 1.03440e10i | 1.66211 | + | 0.959621i | 0.971705 | + | 0.236199i | \(0.0759018\pi\) |
0.690407 | + | 0.723421i | \(0.257432\pi\) | |||||||
\(48\) | − | 3.61290e9i | − | 0.295399i | ||||||
\(49\) | 3.74590e9 | + | 1.33248e10i | 0.270632 | + | 0.962683i | ||||
\(50\) | 7.62515e9 | 0.488010 | ||||||||
\(51\) | −2.73814e9 | + | 4.74259e9i | −0.155609 | + | 0.269522i | ||||
\(52\) | 4.87367e9 | − | 2.81381e9i | 0.246511 | − | 0.142323i | ||||
\(53\) | −1.17271e10 | − | 2.03119e10i | −0.529097 | − | 0.916423i | −0.999424 | − | 0.0339308i | \(-0.989197\pi\) |
0.470327 | − | 0.882492i | \(-0.344136\pi\) | |||||||
\(54\) | 1.08334e10 | + | 6.25467e9i | 0.436921 | + | 0.252256i | ||||
\(55\) | − | 4.48657e9i | − | 0.162083i | ||||||
\(56\) | −8.69117e9 | − | 6.58478e9i | −0.281806 | − | 0.213508i | ||||
\(57\) | −6.68134e10 | −1.94811 | ||||||||
\(58\) | 3.20324e9 | − | 5.54817e9i | 0.0841436 | − | 0.145741i | ||||
\(59\) | −1.83475e9 | + | 1.05929e9i | −0.0434976 | + | 0.0251133i | −0.521591 | − | 0.853196i | \(-0.674661\pi\) |
0.478094 | + | 0.878309i | \(0.341328\pi\) | |||||||
\(60\) | −7.67170e9 | − | 1.32878e10i | −0.164431 | − | 0.284803i | ||||
\(61\) | −7.28376e9 | − | 4.20528e9i | −0.141376 | − | 0.0816237i | 0.427643 | − | 0.903947i | \(-0.359344\pi\) |
−0.569020 | + | 0.822324i | \(0.692677\pi\) | |||||||
\(62\) | − | 3.65622e10i | − | 0.643697i | ||||||
\(63\) | −2.28256e10 | + | 9.61890e9i | −0.365073 | + | 0.153845i | ||||
\(64\) | 8.58993e9 | 0.125000 | ||||||||
\(65\) | 1.19498e10 | − | 2.06977e10i | 0.158446 | − | 0.274436i | ||||
\(66\) | 1.74145e10 | − | 1.00543e10i | 0.210691 | − | 0.121643i | ||||
\(67\) | 3.27239e10 | + | 5.66794e10i | 0.361756 | + | 0.626580i | 0.988250 | − | 0.152846i | \(-0.0488439\pi\) |
−0.626494 | + | 0.779426i | \(0.715511\pi\) | |||||||
\(68\) | −1.12759e10 | − | 6.51012e9i | −0.114050 | − | 0.0658469i | ||||
\(69\) | 8.96336e10i | 0.830570i | ||||||||
\(70\) | −4.59473e10 | − | 5.76299e9i | −0.390545 | − | 0.0489846i | ||||
\(71\) | −2.46780e11 | −1.92646 | −0.963229 | − | 0.268683i | \(-0.913411\pi\) | ||||
−0.963229 | + | 0.268683i | \(0.913411\pi\) | |||||||
\(72\) | 9.75654e9 | − | 1.68988e10i | 0.0700327 | − | 0.121300i | ||||
\(73\) | 8.87210e10 | − | 5.12231e10i | 0.586259 | − | 0.338477i | −0.177358 | − | 0.984146i | \(-0.556755\pi\) |
0.763617 | + | 0.645670i | \(0.223422\pi\) | |||||||
\(74\) | 8.45173e10 | + | 1.46388e11i | 0.514701 | + | 0.891489i | ||||
\(75\) | 1.25693e11 | + | 7.25687e10i | 0.706224 | + | 0.407738i | ||||
\(76\) | − | 1.58854e11i | − | 0.824359i | ||||||
\(77\) | 7.55276e9 | − | 6.02168e10i | 0.0362378 | − | 0.288917i | ||||
\(78\) | 1.07116e11 | 0.475651 | ||||||||
\(79\) | 1.38548e11 | − | 2.39973e11i | 0.569952 | − | 0.987187i | −0.426618 | − | 0.904432i | \(-0.640295\pi\) |
0.996570 | − | 0.0827544i | \(-0.0263717\pi\) | |||||||
\(80\) | 3.15927e10 | − | 1.82400e10i | 0.120516 | − | 0.0695802i | ||||
\(81\) | 1.74996e11 | + | 3.03102e11i | 0.619609 | + | 1.07319i | ||||
\(82\) | 1.86253e11 | + | 1.07533e11i | 0.612662 | + | 0.353720i | ||||
\(83\) | 8.18271e10i | 0.250281i | 0.992139 | + | 0.125141i | \(0.0399382\pi\) | ||||
−0.992139 | + | 0.125141i | \(0.960062\pi\) | |||||||
\(84\) | −8.05973e10 | − | 1.91257e11i | −0.229427 | − | 0.544430i | ||||
\(85\) | −5.52949e10 | −0.146613 | ||||||||
\(86\) | −2.02316e11 | + | 3.50421e11i | −0.500080 | + | 0.866163i | ||||
\(87\) | 1.05604e11 | − | 6.09705e10i | 0.243537 | − | 0.140606i | ||||
\(88\) | 2.39047e10 | + | 4.14042e10i | 0.0514740 | + | 0.0891556i | ||||
\(89\) | −4.69496e10 | − | 2.71064e10i | −0.0944695 | − | 0.0545420i | 0.452021 | − | 0.892007i | \(-0.350703\pi\) |
−0.546491 | + | 0.837465i | \(0.684037\pi\) | |||||||
\(90\) | − | 8.28689e10i | − | 0.155932i | ||||||
\(91\) | 1.95228e11 | − | 2.57679e11i | 0.343790 | − | 0.453764i | ||||
\(92\) | −2.13111e11 | −0.351462 | ||||||||
\(93\) | 3.47963e11 | − | 6.02689e11i | 0.537818 | − | 0.931528i | ||||
\(94\) | −8.10797e11 | + | 4.68114e11i | −1.17529 | + | 0.678554i | ||||
\(95\) | −3.37314e11 | − | 5.84244e11i | −0.458873 | − | 0.794791i | ||||
\(96\) | 1.41596e11 | + | 8.17506e10i | 0.180894 | + | 0.104439i | ||||
\(97\) | 3.42738e11i | 0.411465i | 0.978608 | + | 0.205732i | \(0.0659576\pi\) | ||||
−0.978608 | + | 0.205732i | \(0.934042\pi\) | |||||||
\(98\) | −6.06982e11 | − | 1.54697e11i | −0.685203 | − | 0.174632i | ||||
\(99\) | 1.08605e11 | 0.115356 | ||||||||
\(100\) | −1.72537e11 | + | 2.98844e11i | −0.172537 | + | 0.298844i | ||||
\(101\) | −1.47590e12 | + | 8.52112e11i | −1.39037 | + | 0.802728i | −0.993356 | − | 0.115086i | \(-0.963286\pi\) |
−0.397010 | + | 0.917814i | \(0.629952\pi\) | |||||||
\(102\) | −1.23914e11 | − | 2.14625e11i | −0.110032 | − | 0.190581i | ||||
\(103\) | 1.13530e12 | + | 6.55464e11i | 0.950793 | + | 0.548941i | 0.893327 | − | 0.449407i | \(-0.148365\pi\) |
0.0574658 | + | 0.998347i | \(0.481698\pi\) | |||||||
\(104\) | 2.54677e11i | 0.201275i | ||||||||
\(105\) | −7.02546e11 | − | 5.32278e11i | −0.524251 | − | 0.397194i | ||||
\(106\) | 1.06142e12 | 0.748256 | ||||||||
\(107\) | 1.01708e12 | − | 1.76164e12i | 0.677727 | − | 1.17386i | −0.297937 | − | 0.954585i | \(-0.596299\pi\) |
0.975664 | − | 0.219271i | \(-0.0703680\pi\) | |||||||
\(108\) | −4.90264e11 | + | 2.83054e11i | −0.308950 | + | 0.178372i | ||||
\(109\) | −1.09731e12 | − | 1.90060e12i | −0.654290 | − | 1.13326i | −0.982071 | − | 0.188510i | \(-0.939634\pi\) |
0.327781 | − | 0.944754i | \(-0.393699\pi\) | |||||||
\(110\) | 1.75837e11 | + | 1.01520e11i | 0.0992555 | + | 0.0573052i | ||||
\(111\) | 3.21741e12i | 1.72016i | ||||||||
\(112\) | 4.54728e11 | − | 1.91626e11i | 0.230380 | − | 0.0970838i | ||||
\(113\) | −2.33384e11 | −0.112098 | −0.0560492 | − | 0.998428i | \(-0.517850\pi\) | ||||
−0.0560492 | + | 0.998428i | \(0.517850\pi\) | |||||||
\(114\) | 1.51182e12 | − | 2.61854e12i | 0.688763 | − | 1.19297i | ||||
\(115\) | −7.83793e11 | + | 4.52523e11i | −0.338855 | + | 0.195638i | ||||
\(116\) | 1.44962e11 | + | 2.51081e11i | 0.0594985 | + | 0.103054i | ||||
\(117\) | 5.01022e11 | + | 2.89265e11i | 0.195318 | + | 0.112767i | ||||
\(118\) | − | 9.58763e10i | − | 0.0355156i | ||||||
\(119\) | −7.42143e11 | − | 9.30842e10i | −0.261340 | − | 0.0327789i | ||||
\(120\) | 6.94363e11 | 0.232541 | ||||||||
\(121\) | 1.43617e12 | − | 2.48751e12i | 0.457607 | − | 0.792598i | ||||
\(122\) | 3.29625e11 | − | 1.90309e11i | 0.0999682 | − | 0.0577166i | ||||
\(123\) | 2.04679e12 | + | 3.54515e12i | 0.591076 | + | 1.02377i | ||||
\(124\) | 1.43294e12 | + | 8.27307e11i | 0.394183 | + | 0.227581i | ||||
\(125\) | 3.58890e12i | 0.940808i | ||||||||
\(126\) | 1.39503e11 | − | 1.11223e12i | 0.0348626 | − | 0.277953i | ||||
\(127\) | 5.43716e12 | 1.29583 | 0.647917 | − | 0.761711i | \(-0.275640\pi\) | ||||
0.647917 | + | 0.761711i | \(0.275640\pi\) | |||||||
\(128\) | −1.94368e11 | + | 3.36655e11i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −6.66993e12 | + | 3.85089e12i | −1.44738 | + | 0.835646i | ||||
\(130\) | 5.40787e11 | + | 9.36670e11i | 0.112038 | + | 0.194056i | ||||
\(131\) | 7.18347e12 | + | 4.14738e12i | 1.42137 | + | 0.820627i | 0.996416 | − | 0.0845881i | \(-0.0269575\pi\) |
0.424953 | + | 0.905216i | \(0.360291\pi\) | |||||||
\(132\) | 9.10007e11i | 0.172029i | ||||||||
\(133\) | −3.54375e12 | − | 8.40930e12i | −0.640255 | − | 1.51932i | ||||
\(134\) | −2.96183e12 | −0.511601 | ||||||||
\(135\) | −1.20209e12 | + | 2.08207e12i | −0.198579 | + | 0.343948i | ||||
\(136\) | 5.10287e11 | − | 2.94614e11i | 0.0806457 | − | 0.0465608i | ||||
\(137\) | −1.43911e12 | − | 2.49260e12i | −0.217655 | − | 0.376990i | 0.736435 | − | 0.676508i | \(-0.236508\pi\) |
−0.954091 | + | 0.299518i | \(0.903174\pi\) | |||||||
\(138\) | −3.51291e12 | − | 2.02818e12i | −0.508618 | − | 0.293651i | ||||
\(139\) | − | 7.39529e12i | − | 1.02534i | −0.858587 | − | 0.512669i | \(-0.828657\pi\) | ||
0.858587 | − | 0.512669i | \(-0.171343\pi\) | |||||||
\(140\) | 1.26553e12 | − | 1.67036e12i | 0.168075 | − | 0.221840i | ||||
\(141\) | −1.78202e13 | −2.26776 | ||||||||
\(142\) | 5.58399e12 | − | 9.67175e12i | 0.681105 | − | 1.17971i | ||||
\(143\) | −1.22757e12 | + | 7.08735e11i | −0.143558 | + | 0.0828835i | ||||
\(144\) | 4.41530e11 | + | 7.64753e11i | 0.0495206 | + | 0.0857722i | ||||
\(145\) | 1.06630e12 | + | 6.15630e11i | 0.114729 | + | 0.0662387i | ||||
\(146\) | 4.63619e12i | 0.478678i | ||||||||
\(147\) | −8.53322e12 | − | 8.32667e12i | −0.845685 | − | 0.825216i | ||||
\(148\) | −7.64963e12 | −0.727898 | ||||||||
\(149\) | −9.78126e11 | + | 1.69416e12i | −0.0893876 | + | 0.154824i | −0.907252 | − | 0.420587i | \(-0.861824\pi\) |
0.817865 | + | 0.575410i | \(0.195158\pi\) | |||||||
\(150\) | −5.68820e12 | + | 3.28408e12i | −0.499376 | + | 0.288315i | ||||
\(151\) | 7.20437e12 | + | 1.24783e13i | 0.607763 | + | 1.05268i | 0.991608 | + | 0.129279i | \(0.0412662\pi\) |
−0.383845 | + | 0.923397i | \(0.625400\pi\) | |||||||
\(152\) | 6.22577e12 | + | 3.59445e12i | 0.504815 | + | 0.291455i | ||||
\(153\) | − | 1.33850e12i | − | 0.104345i | ||||||
\(154\) | 2.18911e12 | + | 1.65856e12i | 0.164113 | + | 0.124339i | ||||
\(155\) | 7.02689e12 | 0.506725 | ||||||||
\(156\) | −2.42377e12 | + | 4.19809e12i | −0.168168 | + | 0.291276i | ||||
\(157\) | 1.59678e13 | − | 9.21899e12i | 1.06622 | − | 0.615582i | 0.139073 | − | 0.990282i | \(-0.455588\pi\) |
0.927146 | + | 0.374701i | \(0.122255\pi\) | |||||||
\(158\) | 6.26998e12 | + | 1.08599e13i | 0.403017 | + | 0.698046i | ||||
\(159\) | 1.74963e13 | + | 1.01015e13i | 1.08284 | + | 0.625178i | ||||
\(160\) | 1.65090e12i | 0.0984013i | ||||||||
\(161\) | −1.12815e13 | + | 4.75412e12i | −0.647757 | + | 0.272970i | ||||
\(162\) | −1.58388e13 | −0.876260 | ||||||||
\(163\) | 1.38586e13 | − | 2.40039e13i | 0.738916 | − | 1.27984i | −0.214069 | − | 0.976819i | \(-0.568672\pi\) |
0.952984 | − | 0.303021i | \(-0.0979951\pi\) | |||||||
\(164\) | −8.42886e12 | + | 4.86641e12i | −0.433217 | + | 0.250118i | ||||
\(165\) | 1.93233e12 | + | 3.34689e12i | 0.0957584 | + | 0.165858i | ||||
\(166\) | −3.20695e12 | − | 1.85154e12i | −0.153265 | − | 0.0884879i | ||||
\(167\) | 1.19940e12i | 0.0552923i | 0.999618 | + | 0.0276461i | \(0.00880116\pi\) | ||||
−0.999618 | + | 0.0276461i | \(0.991199\pi\) | |||||||
\(168\) | 9.31943e12 | + | 1.16890e12i | 0.414509 | + | 0.0519903i | ||||
\(169\) | 1.57473e13 | 0.675907 | ||||||||
\(170\) | 1.25118e12 | − | 2.16711e12i | 0.0518354 | − | 0.0897815i | ||||
\(171\) | 1.41426e13 | − | 8.16523e12i | 0.565656 | − | 0.326582i | ||||
\(172\) | −9.15577e12 | − | 1.58583e13i | −0.353610 | − | 0.612470i | ||||
\(173\) | 3.84029e12 | + | 2.21719e12i | 0.143248 | + | 0.0827041i | 0.569911 | − | 0.821706i | \(-0.306978\pi\) |
−0.426663 | + | 0.904411i | \(0.640311\pi\) | |||||||
\(174\) | 5.51842e12i | 0.198847i | ||||||||
\(175\) | −2.46701e12 | + | 1.96690e13i | −0.0858899 | + | 0.684784i | ||||
\(176\) | −2.16361e12 | −0.0727952 | ||||||||
\(177\) | 9.12456e11 | − | 1.58042e12i | 0.0296738 | − | 0.0513964i | ||||
\(178\) | 2.12470e12 | − | 1.22669e12i | 0.0668001 | − | 0.0385670i | ||||
\(179\) | −2.21016e13 | − | 3.82811e13i | −0.671902 | − | 1.16377i | −0.977364 | − | 0.211564i | \(-0.932144\pi\) |
0.305462 | − | 0.952204i | \(-0.401189\pi\) | |||||||
\(180\) | 3.24778e12 | + | 1.87511e12i | 0.0954887 | + | 0.0551305i | ||||
\(181\) | 1.41993e12i | 0.0403828i | 0.999796 | + | 0.0201914i | \(0.00642756\pi\) | ||||
−0.999796 | + | 0.0201914i | \(0.993572\pi\) | |||||||
\(182\) | 5.68139e12 | + | 1.34819e13i | 0.156324 | + | 0.370957i | ||||
\(183\) | 7.24471e12 | 0.192892 | ||||||||
\(184\) | 4.82214e12 | − | 8.35219e12i | 0.124260 | − | 0.215225i | ||||
\(185\) | −2.81344e13 | + | 1.62434e13i | −0.701789 | + | 0.405178i | ||||
\(186\) | 1.57470e13 | + | 2.72746e13i | 0.380295 | + | 0.658690i | ||||
\(187\) | 2.84013e12 | + | 1.63975e12i | 0.0664185 | + | 0.0383467i | ||||
\(188\) | − | 4.23688e13i | − | 0.959621i | ||||||
\(189\) | −1.96388e13 | + | 2.59211e13i | −0.430869 | + | 0.568698i | ||||
\(190\) | 3.05301e13 | 0.648944 | ||||||||
\(191\) | −2.94428e13 | + | 5.09965e13i | −0.606428 | + | 1.05036i | 0.385396 | + | 0.922751i | \(0.374065\pi\) |
−0.991824 | + | 0.127613i | \(0.959268\pi\) | |||||||
\(192\) | −6.40791e12 | + | 3.69961e12i | −0.127911 | + | 0.0738496i | ||||
\(193\) | −2.84219e13 | − | 4.92282e13i | −0.549933 | − | 0.952512i | −0.998279 | − | 0.0586517i | \(-0.981320\pi\) |
0.448345 | − | 0.893860i | \(-0.352013\pi\) | |||||||
\(194\) | −1.34325e13 | − | 7.75529e12i | −0.251970 | − | 0.145475i | ||||
\(195\) | 2.05867e13i | 0.374437i | ||||||||
\(196\) | 1.97973e13 | − | 2.02884e13i | 0.349196 | − | 0.357858i | ||||
\(197\) | −5.01766e13 | −0.858428 | −0.429214 | − | 0.903203i | \(-0.641209\pi\) | ||||
−0.429214 | + | 0.903203i | \(0.641209\pi\) | |||||||
\(198\) | −2.45745e12 | + | 4.25643e12i | −0.0407844 | + | 0.0706406i | ||||
\(199\) | −2.71256e13 | + | 1.56610e13i | −0.436778 | + | 0.252174i | −0.702230 | − | 0.711950i | \(-0.747812\pi\) |
0.265452 | + | 0.964124i | \(0.414479\pi\) | |||||||
\(200\) | −7.80815e12 | − | 1.35241e13i | −0.122002 | − | 0.211314i | ||||
\(201\) | −4.88226e13 | − | 2.81878e13i | −0.740363 | − | 0.427449i | ||||
\(202\) | − | 7.71244e13i | − | 1.13523i | ||||||
\(203\) | 1.32751e13 | + | 1.00577e13i | 0.189697 | + | 0.143722i | ||||
\(204\) | 1.12154e13 | 0.155609 | ||||||||
\(205\) | −2.06668e13 | + | 3.57960e13i | −0.278452 | + | 0.482294i | ||||
\(206\) | −5.13777e13 | + | 2.96629e13i | −0.672312 | + | 0.388160i | ||||
\(207\) | −1.09541e13 | − | 1.89730e13i | −0.139237 | − | 0.241165i | ||||
\(208\) | −9.98127e12 | − | 5.76269e12i | −0.123255 | − | 0.0711615i | ||||
\(209\) | 4.00117e13i | 0.480075i | ||||||||
\(210\) | 3.67577e13 | − | 1.54900e13i | 0.428581 | − | 0.180608i | ||||
\(211\) | 1.26653e14 | 1.43523 | 0.717616 | − | 0.696438i | \(-0.245233\pi\) | ||||
0.717616 | + | 0.696438i | \(0.245233\pi\) | |||||||
\(212\) | −2.40171e13 | + | 4.15988e13i | −0.264549 | + | 0.458211i | ||||
\(213\) | 1.84092e14 | − | 1.06286e14i | 1.97133 | − | 1.13815i | ||||
\(214\) | 4.60280e13 | + | 7.97228e13i | 0.479225 | + | 0.830042i | ||||
\(215\) | −6.73475e13 | − | 3.88831e13i | −0.681853 | − | 0.393668i | ||||
\(216\) | − | 2.56191e13i | − | 0.252256i | ||||||
\(217\) | 9.43117e13 | + | 1.18292e13i | 0.903249 | + | 0.113291i | ||||
\(218\) | 9.93172e13 | 0.925306 | ||||||||
\(219\) | −4.41227e13 | + | 7.64227e13i | −0.399942 | + | 0.692720i | ||||
\(220\) | −7.95748e12 | + | 4.59425e12i | −0.0701842 | + | 0.0405209i | ||||
\(221\) | 8.73482e12 | + | 1.51292e13i | 0.0749723 | + | 0.129856i | ||||
\(222\) | −1.26096e14 | − | 7.28017e13i | −1.05338 | − | 0.608168i | ||||
\(223\) | 8.65375e13i | 0.703680i | 0.936060 | + | 0.351840i | \(0.114444\pi\) | ||||
−0.936060 | + | 0.351840i | \(0.885556\pi\) | |||||||
\(224\) | −2.77915e12 | + | 2.21576e13i | −0.0220001 | + | 0.175402i | ||||
\(225\) | −3.54743e13 | −0.273413 | ||||||||
\(226\) | 5.28087e12 | − | 9.14673e12i | 0.0396328 | − | 0.0686460i | ||||
\(227\) | 1.42952e14 | − | 8.25335e13i | 1.04481 | − | 0.603220i | 0.123616 | − | 0.992330i | \(-0.460551\pi\) |
0.921191 | + | 0.389111i | \(0.127218\pi\) | |||||||
\(228\) | 6.84169e13 | + | 1.18502e14i | 0.487029 | + | 0.843558i | ||||
\(229\) | −8.41450e13 | − | 4.85811e13i | −0.583466 | − | 0.336864i | 0.179044 | − | 0.983841i | \(-0.442700\pi\) |
−0.762510 | + | 0.646977i | \(0.776033\pi\) | |||||||
\(230\) | − | 4.09577e13i | − | 0.276674i | ||||||
\(231\) | 2.03006e13 | + | 4.81734e13i | 0.133610 | + | 0.317055i | ||||
\(232\) | −1.31205e13 | −0.0841436 | ||||||||
\(233\) | −2.12110e13 | + | 3.67385e13i | −0.132564 | + | 0.229607i | −0.924664 | − | 0.380784i | \(-0.875654\pi\) |
0.792100 | + | 0.610391i | \(0.208988\pi\) | |||||||
\(234\) | −2.26737e13 | + | 1.30906e13i | −0.138110 | + | 0.0797381i | ||||
\(235\) | −8.99669e13 | − | 1.55827e14i | −0.534165 | − | 0.925201i | ||||
\(236\) | 3.75757e12 | + | 2.16943e12i | 0.0217488 | + | 0.0125567i | ||||
\(237\) | 2.38686e14i | 1.34690i | ||||||||
\(238\) | 2.04409e13 | − | 2.69797e13i | 0.112471 | − | 0.148448i | ||||
\(239\) | −5.49165e13 | −0.294656 | −0.147328 | − | 0.989088i | \(-0.547067\pi\) | ||||
−0.147328 | + | 0.989088i | \(0.547067\pi\) | |||||||
\(240\) | −1.57116e13 | + | 2.72134e13i | −0.0822156 | + | 0.142402i | ||||
\(241\) | 2.63730e14 | − | 1.52264e14i | 1.34604 | − | 0.777134i | 0.358351 | − | 0.933587i | \(-0.383339\pi\) |
0.987685 | + | 0.156453i | \(0.0500059\pi\) | |||||||
\(242\) | 6.49935e13 | + | 1.12572e14i | 0.323577 | + | 0.560452i | ||||
\(243\) | −1.33867e14 | − | 7.72879e13i | −0.650181 | − | 0.375382i | ||||
\(244\) | 1.72248e13i | 0.0816237i | ||||||||
\(245\) | 2.97311e13 | − | 1.16656e14i | 0.137472 | − | 0.539399i | ||||
\(246\) | −1.85255e14 | −0.835908 | ||||||||
\(247\) | −1.06570e14 | + | 1.84584e14i | −0.469301 | + | 0.812853i | ||||
\(248\) | −6.48474e13 | + | 3.74397e13i | −0.278729 | + | 0.160924i | ||||
\(249\) | −3.52422e13 | − | 6.10413e13i | −0.147866 | − | 0.256111i | ||||
\(250\) | −1.40656e14 | − | 8.12075e13i | −0.576125 | − | 0.332626i | ||||
\(251\) | − | 3.75080e14i | − | 1.49996i | −0.661458 | − | 0.749982i | \(-0.730062\pi\) | ||
0.661458 | − | 0.749982i | \(-0.269938\pi\) | |||||||
\(252\) | 4.04337e13 | + | 3.06343e13i | 0.157885 | + | 0.119620i | ||||
\(253\) | 5.36777e13 | 0.204678 | ||||||||
\(254\) | −1.23029e14 | + | 2.13092e14i | −0.458147 | + | 0.793534i | ||||
\(255\) | 4.12488e13 | − | 2.38150e13i | 0.150027 | − | 0.0866183i | ||||
\(256\) | −8.79609e12 | − | 1.52353e13i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 2.15923e14 | + | 1.24663e14i | 0.749378 | + | 0.432653i | 0.825469 | − | 0.564447i | \(-0.190911\pi\) |
−0.0760913 | + | 0.997101i | \(0.524244\pi\) | |||||||
\(258\) | − | 3.48542e14i | − | 1.18178i | ||||||
\(259\) | −4.04951e14 | + | 1.70650e14i | −1.34154 | + | 0.565336i | ||||
\(260\) | −4.89464e13 | −0.158446 | ||||||||
\(261\) | −1.49023e13 | + | 2.58116e13i | −0.0471424 | + | 0.0816530i | ||||
\(262\) | −3.25087e14 | + | 1.87689e14i | −1.00506 | + | 0.580271i | ||||
\(263\) | −2.94573e14 | − | 5.10216e14i | −0.890141 | − | 1.54177i | −0.839705 | − | 0.543042i | \(-0.817272\pi\) |
−0.0504357 | − | 0.998727i | \(-0.516061\pi\) | |||||||
\(264\) | −3.56649e13 | − | 2.05911e13i | −0.105346 | − | 0.0608214i | ||||
\(265\) | 2.03994e14i | 0.589035i | ||||||||
\(266\) | 4.09762e14 | + | 5.13949e13i | 1.15676 | + | 0.145087i | ||||
\(267\) | 4.66979e13 | 0.128893 | ||||||||
\(268\) | 6.70185e13 | − | 1.16079e14i | 0.180878 | − | 0.313290i | ||||
\(269\) | 2.77909e14 | − | 1.60451e14i | 0.733482 | − | 0.423476i | −0.0862129 | − | 0.996277i | \(-0.527477\pi\) |
0.819694 | + | 0.572801i | \(0.194143\pi\) | |||||||
\(270\) | −5.44002e13 | − | 9.42239e13i | −0.140416 | − | 0.243208i | ||||
\(271\) | 8.39461e13 | + | 4.84663e13i | 0.211926 | + | 0.122356i | 0.602206 | − | 0.798340i | \(-0.294288\pi\) |
−0.390280 | + | 0.920696i | \(0.627622\pi\) | |||||||
\(272\) | 2.66655e13i | 0.0658469i | ||||||||
\(273\) | −3.46560e13 | + | 2.76306e14i | −0.0837148 | + | 0.667442i | ||||
\(274\) | 1.30253e14 | 0.307811 | ||||||||
\(275\) | 4.34583e13 | − | 7.52719e13i | 0.100479 | − | 0.174035i | ||||
\(276\) | 1.58976e14 | − | 9.17848e13i | 0.359647 | − | 0.207643i | ||||
\(277\) | 2.88703e14 | + | 5.00048e14i | 0.639106 | + | 1.10696i | 0.985629 | + | 0.168923i | \(0.0540288\pi\) |
−0.346523 | + | 0.938041i | \(0.612638\pi\) | |||||||
\(278\) | 2.89835e14 | + | 1.67336e14i | 0.627888 | + | 0.362511i | ||||
\(279\) | 1.70097e14i | 0.360639i | ||||||||
\(280\) | 3.68286e13 | + | 8.73943e13i | 0.0764254 | + | 0.181357i | ||||
\(281\) | 5.01179e14 | 1.01802 | 0.509009 | − | 0.860761i | \(-0.330012\pi\) | ||||
0.509009 | + | 0.860761i | \(0.330012\pi\) | |||||||
\(282\) | 4.03225e14 | − | 6.98406e14i | 0.801776 | − | 1.38872i | ||||
\(283\) | −7.28775e14 | + | 4.20758e14i | −1.41865 | + | 0.819057i | −0.996180 | − | 0.0873212i | \(-0.972169\pi\) |
−0.422468 | + | 0.906378i | \(0.638836\pi\) | |||||||
\(284\) | 2.52702e14 | + | 4.37693e14i | 0.481614 | + | 0.834180i | ||||
\(285\) | 5.03257e14 | + | 2.90556e14i | 0.939120 | + | 0.542201i | ||||
\(286\) | − | 6.41474e13i | − | 0.117215i | ||||||
\(287\) | −3.37641e14 | + | 4.45647e14i | −0.604176 | + | 0.797444i | ||||
\(288\) | −3.99628e13 | −0.0700327 | ||||||||
\(289\) | −2.71102e14 | + | 4.69562e14i | −0.465313 | + | 0.805947i | ||||
\(290\) | −4.82553e13 | + | 2.78602e13i | −0.0811255 | + | 0.0468378i | ||||
\(291\) | −1.47614e14 | − | 2.55676e14i | −0.243092 | − | 0.421048i | ||||
\(292\) | −1.81701e14 | − | 1.04905e14i | −0.293129 | − | 0.169238i | ||||
\(293\) | − | 9.39106e14i | − | 1.48426i | −0.670258 | − | 0.742128i | \(-0.733817\pi\) | ||
0.670258 | − | 0.742128i | \(-0.266183\pi\) | |||||||
\(294\) | 5.19422e14 | − | 1.46021e14i | 0.804334 | − | 0.226117i | ||||
\(295\) | 1.84265e13 | 0.0279583 | ||||||||
\(296\) | 1.73091e14 | − | 2.99803e14i | 0.257351 | − | 0.445744i | ||||
\(297\) | 1.23486e14 | − | 7.12949e13i | 0.179920 | − | 0.103877i | ||||
\(298\) | −4.42649e13 | − | 7.66691e13i | −0.0632066 | − | 0.109477i | ||||
\(299\) | 2.47629e14 | + | 1.42968e14i | 0.346556 | + | 0.200084i | ||||
\(300\) | − | 2.97241e14i | − | 0.407738i | ||||||
\(301\) | −8.38452e14 | − | 6.35245e14i | −1.12740 | − | 0.854166i | ||||
\(302\) | −6.52065e14 | −0.859506 | ||||||||
\(303\) | 7.33994e14 | − | 1.27131e15i | 0.948499 | − | 1.64285i | ||||
\(304\) | −2.81746e14 | + | 1.62666e14i | −0.356958 | + | 0.206090i | ||||
\(305\) | 3.65756e13 | + | 6.33507e13i | 0.0454351 | + | 0.0786960i | ||||
\(306\) | 5.24584e13 | + | 3.02869e13i | 0.0638979 | + | 0.0368915i | ||||
\(307\) | 6.66830e14i | 0.796498i | 0.917277 | + | 0.398249i | \(0.130382\pi\) | ||||
−0.917277 | + | 0.398249i | \(0.869618\pi\) | |||||||
\(308\) | −1.14536e14 | + | 4.82663e13i | −0.134164 | + | 0.0565379i | ||||
\(309\) | −1.12921e15 | −1.29725 | ||||||||
\(310\) | −1.59000e14 | + | 2.75397e14i | −0.179154 | + | 0.310305i | ||||
\(311\) | −2.70814e14 | + | 1.56355e14i | −0.299302 | + | 0.172802i | −0.642129 | − | 0.766596i | \(-0.721949\pi\) |
0.342827 | + | 0.939398i | \(0.388615\pi\) | |||||||
\(312\) | −1.09687e14 | − | 1.89984e14i | −0.118913 | − | 0.205963i | ||||
\(313\) | −2.09440e14 | − | 1.20920e14i | −0.222738 | − | 0.128598i | 0.384479 | − | 0.923134i | \(-0.374381\pi\) |
−0.607217 | + | 0.794536i | \(0.707714\pi\) | |||||||
\(314\) | 8.34408e14i | 0.870564i | ||||||||
\(315\) | 2.13759e14 | + | 2.68110e13i | 0.218807 | + | 0.0274442i | ||||
\(316\) | −5.67494e14 | −0.569952 | ||||||||
\(317\) | 6.62099e13 | − | 1.14679e14i | 0.0652480 | − | 0.113013i | −0.831556 | − | 0.555441i | \(-0.812549\pi\) |
0.896804 | + | 0.442428i | \(0.145883\pi\) | |||||||
\(318\) | −7.91794e14 | + | 4.57142e14i | −0.765684 | + | 0.442068i | ||||
\(319\) | −3.65126e13 | − | 6.32417e13i | −0.0346497 | − | 0.0600150i | ||||
\(320\) | −6.47018e13 | − | 3.73556e13i | −0.0602582 | − | 0.0347901i | ||||
\(321\) | 1.75220e15i | 1.60160i | ||||||||
\(322\) | 6.89488e13 | − | 5.49716e14i | 0.0618574 | − | 0.493178i | ||||
\(323\) | 4.93125e14 | 0.434252 | ||||||||
\(324\) | 3.58392e14 | − | 6.20753e14i | 0.309805 | − | 0.536597i | ||||
\(325\) | 4.00968e14 | − | 2.31499e14i | 0.340259 | − | 0.196448i | ||||
\(326\) | 6.27170e14 | + | 1.08629e15i | 0.522492 | + | 0.904983i | ||||
\(327\) | 1.63714e15 | + | 9.45203e14i | 1.33906 | + | 0.773106i | ||||
\(328\) | − | 4.40457e14i | − | 0.353720i | ||||||
\(329\) | −9.45173e14 | − | 2.24289e15i | −0.745309 | − | 1.76862i | ||||
\(330\) | −1.74894e14 | −0.135423 | ||||||||
\(331\) | −4.14852e14 | + | 7.18544e14i | −0.315446 | + | 0.546368i | −0.979532 | − | 0.201288i | \(-0.935487\pi\) |
0.664086 | + | 0.747656i | \(0.268821\pi\) | |||||||
\(332\) | 1.45130e14 | − | 8.37910e13i | 0.108375 | − | 0.0625704i | ||||
\(333\) | −3.93198e14 | − | 6.81039e14i | −0.288367 | − | 0.499467i | ||||
\(334\) | −4.70066e13 | − | 2.71393e13i | −0.0338595 | − | 0.0195488i | ||||
\(335\) | − | 5.69234e14i | − | 0.402737i | ||||||
\(336\) | −2.56686e14 | + | 3.38796e14i | −0.178388 | + | 0.235452i | ||||
\(337\) | −2.75664e14 | −0.188192 | −0.0940958 | − | 0.995563i | \(-0.529996\pi\) | ||||
−0.0940958 | + | 0.995563i | \(0.529996\pi\) | |||||||
\(338\) | −3.56321e14 | + | 6.17167e14i | −0.238969 | + | 0.413907i | ||||
\(339\) | 1.74099e14 | − | 1.00516e14i | 0.114709 | − | 0.0662274i | ||||
\(340\) | 5.66220e13 | + | 9.80721e13i | 0.0366532 | + | 0.0634851i | ||||
\(341\) | −3.60925e14 | − | 2.08380e14i | −0.229557 | − | 0.132535i | ||||
\(342\) | 7.39033e14i | 0.461856i | ||||||||
\(343\) | 5.95418e14 | − | 1.51565e15i | 0.365643 | − | 0.930755i | ||||
\(344\) | 8.28685e14 | 0.500080 | ||||||||
\(345\) | 3.89795e14 | − | 6.75146e14i | 0.231165 | − | 0.400390i | ||||
\(346\) | −1.73792e14 | + | 1.00339e14i | −0.101291 | + | 0.0584806i | ||||
\(347\) | −6.45392e12 | − | 1.11785e13i | −0.00369698 | − | 0.00640335i | 0.864171 | − | 0.503198i | \(-0.167843\pi\) |
−0.867868 | + | 0.496795i | \(0.834510\pi\) | |||||||
\(348\) | −2.16277e14 | − | 1.24868e14i | −0.121768 | − | 0.0703031i | ||||
\(349\) | 7.51191e14i | 0.415717i | 0.978159 | + | 0.207858i | \(0.0666493\pi\) | ||||
−0.978159 | + | 0.207858i | \(0.933351\pi\) | |||||||
\(350\) | −7.15042e14 | − | 5.41745e14i | −0.388976 | − | 0.294704i | ||||
\(351\) | 7.59564e14 | 0.406183 | ||||||||
\(352\) | 4.89569e13 | − | 8.47958e13i | 0.0257370 | − | 0.0445778i | ||||
\(353\) | 9.28243e14 | − | 5.35921e14i | 0.479748 | − | 0.276983i | −0.240563 | − | 0.970633i | \(-0.577332\pi\) |
0.720312 | + | 0.693651i | \(0.243999\pi\) | |||||||
\(354\) | 4.12931e13 | + | 7.15217e13i | 0.0209825 | + | 0.0363428i | ||||
\(355\) | 1.85881e15 | + | 1.07319e15i | 0.928679 | + | 0.536173i | ||||
\(356\) | 1.11028e14i | 0.0545420i | ||||||||
\(357\) | 5.93714e14 | − | 2.50196e14i | 0.286792 | − | 0.120857i | ||||
\(358\) | 2.00041e15 | 0.950213 | ||||||||
\(359\) | 9.15290e14 | − | 1.58533e15i | 0.427555 | − | 0.740547i | −0.569100 | − | 0.822268i | \(-0.692708\pi\) |
0.996655 | + | 0.0817210i | \(0.0260416\pi\) | |||||||
\(360\) | −1.46978e14 | + | 8.48578e13i | −0.0675207 | + | 0.0389831i | ||||
\(361\) | 1.90154e15 | + | 3.29356e15i | 0.859135 | + | 1.48806i | ||||
\(362\) | −5.56498e13 | − | 3.21294e13i | −0.0247293 | − | 0.0142775i | ||||
\(363\) | 2.47418e15i | 1.08141i | ||||||||
\(364\) | −6.56937e14 | − | 8.23971e13i | −0.282433 | − | 0.0354245i | ||||
\(365\) | −8.91029e14 | −0.376821 | ||||||||
\(366\) | −1.63929e14 | + | 2.83933e14i | −0.0681976 | + | 0.118122i | ||||
\(367\) | −1.74439e15 | + | 1.00713e15i | −0.713917 | + | 0.412180i | −0.812510 | − | 0.582948i | \(-0.801899\pi\) |
0.0985926 | + | 0.995128i | \(0.468566\pi\) | |||||||
\(368\) | 2.18225e14 | + | 3.77977e14i | 0.0878654 | + | 0.152187i | ||||
\(369\) | −8.66502e14 | − | 5.00275e14i | −0.343251 | − | 0.198176i | ||||
\(370\) | − | 1.47018e15i | − | 0.573009i | ||||||
\(371\) | −3.43406e14 | + | 2.73791e15i | −0.131693 | + | 1.04997i | ||||
\(372\) | −1.42526e15 | −0.537818 | ||||||||
\(373\) | 9.67420e14 | − | 1.67562e15i | 0.359221 | − | 0.622189i | −0.628610 | − | 0.777721i | \(-0.716376\pi\) |
0.987831 | + | 0.155531i | \(0.0497090\pi\) | |||||||
\(374\) | −1.28530e14 | + | 7.42067e13i | −0.0469650 | + | 0.0271152i | ||||
\(375\) | −1.54571e15 | − | 2.67724e15i | −0.555827 | − | 0.962720i | ||||
\(376\) | 1.66051e15 | + | 9.58698e14i | 0.587645 | + | 0.339277i | ||||
\(377\) | − | 3.89000e14i | − | 0.135488i | ||||||
\(378\) | −5.71517e14 | − | 1.35621e15i | −0.195920 | − | 0.464917i | ||||
\(379\) | 2.16588e15 | 0.730802 | 0.365401 | − | 0.930850i | \(-0.380932\pi\) | ||||
0.365401 | + | 0.930850i | \(0.380932\pi\) | |||||||
\(380\) | −6.90818e14 | + | 1.19653e15i | −0.229436 | + | 0.397395i | ||||
\(381\) | −4.05600e15 | + | 2.34174e15i | −1.32602 | + | 0.765575i | ||||
\(382\) | −1.33243e15 | − | 2.30784e15i | −0.428809 | − | 0.742720i | ||||
\(383\) | −4.61537e15 | − | 2.66469e15i | −1.46222 | − | 0.844215i | −0.463110 | − | 0.886301i | \(-0.653266\pi\) |
−0.999114 | + | 0.0420855i | \(0.986600\pi\) | |||||||
\(384\) | − | 3.34850e14i | − | 0.104439i | ||||||
\(385\) | −3.18758e14 | + | 4.20725e14i | −0.0978807 | + | 0.129191i | ||||
\(386\) | 2.57246e15 | 0.777723 | ||||||||
\(387\) | 9.41230e14 | − | 1.63026e15i | 0.280175 | − | 0.485278i | ||||
\(388\) | 6.07888e14 | − | 3.50964e14i | 0.178169 | − | 0.102866i | ||||
\(389\) | −1.08260e15 | − | 1.87512e15i | −0.312444 | − | 0.541168i | 0.666447 | − | 0.745552i | \(-0.267814\pi\) |
−0.978891 | + | 0.204384i | \(0.934481\pi\) | |||||||
\(390\) | −8.06831e14 | − | 4.65824e14i | −0.229295 | − | 0.132384i | ||||
\(391\) | − | 6.61552e14i | − | 0.185141i | ||||||
\(392\) | 3.47177e14 | + | 1.23496e15i | 0.0956829 | + | 0.340360i | ||||
\(393\) | −7.14496e15 | −1.93930 | ||||||||
\(394\) | 1.13537e15 | − | 1.96651e15i | 0.303500 | − | 0.525678i | ||||
\(395\) | −2.08717e15 | + | 1.20503e15i | −0.549509 | + | 0.317259i | ||||
\(396\) | −1.11212e14 | − | 1.92624e14i | −0.0288389 | − | 0.0499504i | ||||
\(397\) | −7.75072e14 | − | 4.47488e14i | −0.197970 | − | 0.114298i | 0.397738 | − | 0.917499i | \(-0.369795\pi\) |
−0.595708 | + | 0.803201i | \(0.703128\pi\) | |||||||
\(398\) | − | 1.41747e15i | − | 0.356628i | ||||||
\(399\) | 6.26537e15 | + | 4.74690e15i | 1.55278 | + | 1.17645i | ||||
\(400\) | 7.06713e14 | 0.172537 | ||||||||
\(401\) | −3.82791e15 | + | 6.63014e15i | −0.920653 | + | 1.59462i | −0.122245 | + | 0.992500i | \(0.539009\pi\) |
−0.798408 | + | 0.602117i | \(0.794324\pi\) | |||||||
\(402\) | 2.20946e15 | − | 1.27563e15i | 0.523516 | − | 0.302252i | ||||
\(403\) | −1.11002e15 | − | 1.92262e15i | −0.259121 | − | 0.448810i | ||||
\(404\) | 3.02265e15 | + | 1.74513e15i | 0.695183 | + | 0.401364i | ||||
\(405\) | − | 3.04406e15i | − | 0.689801i | ||||||
\(406\) | −6.94562e14 | + | 2.92694e14i | −0.155080 | + | 0.0653518i | ||||
\(407\) | 1.92677e15 | 0.423900 | ||||||||
\(408\) | −2.53776e14 | + | 4.39552e14i | −0.0550160 | + | 0.0952905i | ||||
\(409\) | 3.13235e15 | − | 1.80846e15i | 0.669160 | − | 0.386340i | −0.126598 | − | 0.991954i | \(-0.540406\pi\) |
0.795758 | + | 0.605614i | \(0.207073\pi\) | |||||||
\(410\) | −9.35275e14 | − | 1.61994e15i | −0.196896 | − | 0.341033i | ||||
\(411\) | 2.14708e15 | + | 1.23962e15i | 0.445449 | + | 0.257180i | ||||
\(412\) | − | 2.68478e15i | − | 0.548941i | ||||||
\(413\) | 2.47312e14 | + | 3.10194e13i | 0.0498362 | + | 0.00625076i | ||||
\(414\) | 9.91450e14 | 0.196910 | ||||||||
\(415\) | 3.55847e14 | − | 6.16345e14i | 0.0696586 | − | 0.120652i | ||||
\(416\) | 4.51701e14 | − | 2.60789e14i | 0.0871547 | − | 0.0503188i | ||||
\(417\) | 3.18509e15 | + | 5.51673e15i | 0.605766 | + | 1.04922i | ||||
\(418\) | −1.56813e15 | − | 9.05361e14i | −0.293985 | − | 0.169732i | ||||
\(419\) | − | 3.64888e15i | − | 0.674335i | −0.941445 | − | 0.337168i | \(-0.890531\pi\) | ||
0.941445 | − | 0.337168i | \(-0.109469\pi\) | |||||||
\(420\) | −2.24651e14 | + | 1.79110e15i | −0.0409273 | + | 0.326306i | ||||
\(421\) | 3.29475e15 | 0.591739 | 0.295870 | − | 0.955228i | \(-0.404391\pi\) | ||||
0.295870 | + | 0.955228i | \(0.404391\pi\) | |||||||
\(422\) | −2.86584e15 | + | 4.96378e15i | −0.507431 | + | 0.878897i | ||||
\(423\) | 3.77206e15 | − | 2.17780e15i | 0.658470 | − | 0.380168i | ||||
\(424\) | −1.08689e15 | − | 1.88255e15i | −0.187064 | − | 0.324004i | ||||
\(425\) | −9.27691e14 | − | 5.35602e14i | −0.157423 | − | 0.0908885i | ||||
\(426\) | 9.61989e15i | 1.60958i | ||||||||
\(427\) | 3.84255e14 | + | 9.11837e14i | 0.0633947 | + | 0.150435i | ||||
\(428\) | −4.16598e15 | −0.677727 | ||||||||
\(429\) | 6.10492e14 | − | 1.05740e15i | 0.0979346 | − | 0.169628i | ||||
\(430\) | 3.04780e15 | − | 1.75965e15i | 0.482143 | − | 0.278365i | ||||
\(431\) | 4.72907e15 | + | 8.19099e15i | 0.737755 | + | 1.27783i | 0.953504 | + | 0.301381i | \(0.0974475\pi\) |
−0.215749 | + | 0.976449i | \(0.569219\pi\) | |||||||
\(432\) | 1.00406e15 | + | 5.79695e14i | 0.154475 | + | 0.0891860i | ||||
\(433\) | − | 9.38135e15i | − | 1.42344i | −0.702465 | − | 0.711718i | \(-0.747917\pi\) | ||
0.702465 | − | 0.711718i | \(-0.252083\pi\) | |||||||
\(434\) | −2.59764e15 | + | 3.42859e15i | −0.388723 | + | 0.513070i | ||||
\(435\) | −1.06059e15 | −0.156535 | ||||||||
\(436\) | −2.24729e15 | + | 3.89242e15i | −0.327145 | + | 0.566632i | ||||
\(437\) | 6.98994e15 | − | 4.03564e15i | 1.00366 | − | 0.579461i | ||||
\(438\) | −1.99676e15 | − | 3.45850e15i | −0.282802 | − | 0.489827i | ||||
\(439\) | −3.10191e14 | − | 1.79089e14i | −0.0433353 | − | 0.0250196i | 0.478176 | − | 0.878264i | \(-0.341298\pi\) |
−0.521511 | + | 0.853244i | \(0.674631\pi\) | |||||||
\(440\) | − | 4.15824e14i | − | 0.0573052i | ||||||
\(441\) | 2.82385e15 | + | 7.19692e14i | 0.383893 | + | 0.0978396i | ||||
\(442\) | −7.90586e14 | −0.106027 | ||||||||
\(443\) | −1.44826e15 | + | 2.50846e15i | −0.191613 | + | 0.331883i | −0.945785 | − | 0.324794i | \(-0.894705\pi\) |
0.754172 | + | 0.656677i | \(0.228038\pi\) | |||||||
\(444\) | 5.70646e15 | − | 3.29463e15i | 0.744851 | − | 0.430040i | ||||
\(445\) | 2.35758e14 | + | 4.08345e14i | 0.0303604 | + | 0.0525857i | ||||
\(446\) | −3.39156e15 | − | 1.95812e15i | −0.430914 | − | 0.248788i | ||||
\(447\) | − | 1.68508e15i | − | 0.211240i | ||||||
\(448\) | −8.05514e14 | − | 6.10290e14i | −0.0996334 | − | 0.0754863i | ||||
\(449\) | 5.51822e15 | 0.673474 | 0.336737 | − | 0.941599i | \(-0.390677\pi\) | ||||
0.336737 | + | 0.941599i | \(0.390677\pi\) | |||||||
\(450\) | 8.02692e14 | − | 1.39030e15i | 0.0966661 | − | 0.167431i | ||||
\(451\) | 2.12304e15 | − | 1.22574e15i | 0.252289 | − | 0.145659i | ||||
\(452\) | 2.38985e14 | + | 4.13934e14i | 0.0280246 | + | 0.0485401i | ||||
\(453\) | −1.07486e16 | − | 6.20571e15i | −1.24384 | − | 0.718129i | ||||
\(454\) | 7.47008e15i | 0.853081i | ||||||||
\(455\) | −2.59109e15 | + | 1.09191e15i | −0.292021 | + | 0.123060i | ||||
\(456\) | −6.19239e15 | −0.688763 | ||||||||
\(457\) | −3.58011e15 | + | 6.20094e15i | −0.393006 | + | 0.680707i | −0.992845 | − | 0.119414i | \(-0.961898\pi\) |
0.599838 | + | 0.800121i | \(0.295232\pi\) | |||||||
\(458\) | 3.80797e15 | − | 2.19853e15i | 0.412573 | − | 0.238199i | ||||
\(459\) | −8.78676e14 | − | 1.52191e15i | −0.0939620 | − | 0.162747i | ||||
\(460\) | 1.60521e15 | + | 9.26768e14i | 0.169428 | + | 0.0978191i | ||||
\(461\) | − | 7.56470e15i | − | 0.788108i | −0.919087 | − | 0.394054i | \(-0.871072\pi\) | ||
0.919087 | − | 0.394054i | \(-0.128928\pi\) | |||||||
\(462\) | −2.34735e15 | − | 2.94420e14i | −0.241394 | − | 0.0302771i | ||||
\(463\) | −4.69921e15 | −0.477022 | −0.238511 | − | 0.971140i | \(-0.576659\pi\) | ||||
−0.238511 | + | 0.971140i | \(0.576659\pi\) | |||||||
\(464\) | 2.96882e14 | − | 5.14215e14i | 0.0297492 | − | 0.0515272i | ||||
\(465\) | −5.24191e15 | + | 3.02642e15i | −0.518527 | + | 0.299372i | ||||
\(466\) | −9.59898e14 | − | 1.66259e15i | −0.0937367 | − | 0.162357i | ||||
\(467\) | −1.24885e16 | − | 7.21026e15i | −1.20395 | − | 0.695103i | −0.242522 | − | 0.970146i | \(-0.577975\pi\) |
−0.961432 | + | 0.275043i | \(0.911308\pi\) | |||||||
\(468\) | − | 1.18483e15i | − | 0.112767i | ||||||
\(469\) | 9.58256e14 | − | 7.64000e15i | 0.0900419 | − | 0.717888i | ||||
\(470\) | 8.14287e15 | 0.755423 | ||||||||
\(471\) | −7.94108e15 | + | 1.37543e16i | −0.727368 | + | 1.25984i | ||||
\(472\) | −1.70048e14 | + | 9.81773e13i | −0.0153787 | + | 0.00887890i | ||||
\(473\) | 2.30613e15 | + | 3.99433e15i | 0.205929 | + | 0.356679i | ||||
\(474\) | −9.35454e15 | − | 5.40085e15i | −0.824807 | − | 0.476203i | ||||
\(475\) | − | 1.30693e16i | − | 1.13786i | ||||||
\(476\) | 5.94859e14 | + | 1.41160e15i | 0.0511413 | + | 0.121358i | ||||
\(477\) | −4.93800e15 | −0.419219 | ||||||||
\(478\) | 1.24262e15 | − | 2.15228e15i | 0.104177 | − | 0.180439i | ||||
\(479\) | −8.75512e15 | + | 5.05477e15i | −0.724851 | + | 0.418493i | −0.816536 | − | 0.577295i | \(-0.804108\pi\) |
0.0916844 | + | 0.995788i | \(0.470775\pi\) | |||||||
\(480\) | −7.11028e14 | − | 1.23154e15i | −0.0581352 | − | 0.100693i | ||||
\(481\) | 8.88866e15 | + | 5.13187e15i | 0.717738 | + | 0.414386i | ||||
\(482\) | 1.37814e16i | 1.09903i | ||||||||
\(483\) | 6.36821e15 | − | 8.40532e15i | 0.501574 | − | 0.662020i | ||||
\(484\) | −5.88254e15 | −0.457607 | ||||||||
\(485\) | 1.49049e15 | − | 2.58160e15i | 0.114519 | − | 0.198353i | ||||
\(486\) | 6.05811e15 | − | 3.49765e15i | 0.459748 | − | 0.265435i | ||||
\(487\) | 3.21346e15 | + | 5.56587e15i | 0.240879 | + | 0.417215i | 0.960965 | − | 0.276670i | \(-0.0892310\pi\) |
−0.720086 | + | 0.693885i | \(0.755898\pi\) | |||||||
\(488\) | −6.75073e14 | − | 3.89753e14i | −0.0499841 | − | 0.0288583i | ||||
\(489\) | 2.38752e16i | 1.74620i | ||||||||
\(490\) | 3.89922e15 | + | 3.80484e15i | 0.281709 | + | 0.274891i | ||||
\(491\) | 1.05122e16 | 0.750244 | 0.375122 | − | 0.926975i | \(-0.377601\pi\) | ||||
0.375122 | + | 0.926975i | \(0.377601\pi\) | |||||||
\(492\) | 4.19183e15 | − | 7.26047e15i | 0.295538 | − | 0.511887i | ||||
\(493\) | −7.79424e14 | + | 4.50000e14i | −0.0542865 | + | 0.0313423i | ||||
\(494\) | −4.82279e15 | − | 8.35331e15i | −0.331846 | − | 0.574774i | ||||
\(495\) | −8.18043e14 | − | 4.72298e14i | −0.0556090 | − | 0.0321059i | ||||
\(496\) | − | 3.38865e15i | − | 0.227581i | ||||||
\(497\) | 2.31416e16 | + | 1.75330e16i | 1.53552 | + | 1.16337i | ||||
\(498\) | 3.18976e15 | 0.209113 | ||||||||
\(499\) | 1.95068e14 | − | 3.37868e14i | 0.0126352 | − | 0.0218849i | −0.859639 | − | 0.510903i | \(-0.829311\pi\) |
0.872274 | + | 0.489018i | \(0.162645\pi\) | |||||||
\(500\) | 6.36534e15 | − | 3.67503e15i | 0.407382 | − | 0.235202i | ||||
\(501\) | −5.16570e14 | − | 8.94725e14i | −0.0326665 | − | 0.0565800i | ||||
\(502\) | 1.47001e16 | + | 8.48708e15i | 0.918537 | + | 0.530318i | ||||
\(503\) | − | 1.10468e16i | − | 0.682070i | −0.940051 | − | 0.341035i | \(-0.889223\pi\) | ||
0.940051 | − | 0.341035i | \(-0.110777\pi\) | |||||||
\(504\) | −2.11552e15 | + | 8.91498e14i | −0.129073 | + | 0.0543923i | ||||
\(505\) | 1.48225e16 | 0.893664 | ||||||||
\(506\) | −1.21459e15 | + | 2.10373e15i | −0.0723646 | + | 0.125339i | ||||
\(507\) | −1.17472e16 | + | 6.78224e15i | −0.691649 | + | 0.399324i | ||||
\(508\) | −5.56765e15 | − | 9.64345e15i | −0.323959 | − | 0.561113i | ||||
\(509\) | 1.97600e15 | + | 1.14085e15i | 0.113627 | + | 0.0656024i | 0.555736 | − | 0.831359i | \(-0.312436\pi\) |
−0.442110 | + | 0.896961i | \(0.645770\pi\) | |||||||
\(510\) | 2.15549e15i | 0.122497i | ||||||||
\(511\) | −1.19590e16 | − | 1.49997e15i | −0.671691 | − | 0.0842476i | ||||
\(512\) | 7.96131e14 | 0.0441942 | ||||||||
\(513\) | 1.07203e16 | − | 1.85681e16i | 0.588170 | − | 1.01874i | ||||
\(514\) | −9.77157e15 | + | 5.64162e15i | −0.529890 | + | 0.305932i | ||||
\(515\) | −5.70091e15 | − | 9.87427e15i | −0.305563 | − | 0.529251i | ||||
\(516\) | 1.36600e16 | + | 7.88661e15i | 0.723691 | + | 0.417823i | ||||
\(517\) | 1.06718e16i | 0.558846i | ||||||||
\(518\) | 2.47493e15 | − | 1.97321e16i | 0.128110 | − | 1.02140i | ||||
\(519\) | −3.81970e15 | −0.195445 | ||||||||
\(520\) | 1.10753e15 | − | 1.91830e15i | 0.0560191 | − | 0.0970279i | ||||
\(521\) | −2.36143e16 | + | 1.36337e16i | −1.18073 | + | 0.681693i | −0.956183 | − | 0.292771i | \(-0.905423\pi\) |
−0.224544 | + | 0.974464i | \(0.572089\pi\) | |||||||
\(522\) | −6.74403e14 | − | 1.16810e15i | −0.0333347 | − | 0.0577374i | ||||
\(523\) | −8.67291e15 | − | 5.00731e15i | −0.423794 | − | 0.244678i | 0.272905 | − | 0.962041i | \(-0.412015\pi\) |
−0.696699 | + | 0.717363i | \(0.745349\pi\) | |||||||
\(524\) | − | 1.69877e16i | − | 0.820627i | ||||||
\(525\) | −6.63093e15 | − | 1.57352e16i | −0.316678 | − | 0.751477i | ||||
\(526\) | 2.66617e16 | 1.25885 | ||||||||
\(527\) | −2.56818e15 | + | 4.44822e15i | −0.119884 | + | 0.207646i | ||||
\(528\) | 1.61401e15 | − | 9.31847e14i | 0.0744907 | − | 0.0430072i | ||||
\(529\) | 5.54329e15 | + | 9.60126e15i | 0.252949 | + | 0.438121i | ||||
\(530\) | −7.99488e15 | − | 4.61585e15i | −0.360709 | − | 0.208255i | ||||
\(531\) | 4.46043e14i | 0.0198980i | ||||||||
\(532\) | −1.12861e16 | + | 1.48964e16i | −0.497823 | + | 0.657069i | ||||
\(533\) | 1.30588e16 | 0.569561 | ||||||||
\(534\) | −1.05665e15 | + | 1.83018e15i | −0.0455706 | + | 0.0789306i | ||||
\(535\) | −1.53219e16 | + | 8.84612e15i | −0.653418 | + | 0.377251i | ||||
\(536\) | 3.03291e15 | + | 5.25316e15i | 0.127900 | + | 0.221530i | ||||
\(537\) | 3.29747e16 | + | 1.90379e16i | 1.37510 | + | 0.793915i | ||||
\(538\) | 1.45224e16i | 0.598885i | ||||||||
\(539\) | −4.98649e15 | + | 5.11018e15i | −0.203358 | + | 0.208403i | ||||
\(540\) | 4.92374e15 | 0.198579 | ||||||||
\(541\) | 2.03051e16 | − | 3.51694e16i | 0.809880 | − | 1.40275i | −0.103067 | − | 0.994674i | \(-0.532866\pi\) |
0.912947 | − | 0.408079i | \(-0.133801\pi\) | |||||||
\(542\) | −3.79897e15 | + | 2.19334e15i | −0.149855 | + | 0.0865186i | ||||
\(543\) | −6.11553e14 | − | 1.05924e15i | −0.0238580 | − | 0.0413233i | ||||
\(544\) | −1.04507e15 | − | 6.03370e14i | −0.0403228 | − | 0.0232804i | ||||
\(545\) | 1.90878e16i | 0.728411i | ||||||||
\(546\) | −1.00447e16 | − | 7.61031e15i | −0.379126 | − | 0.287241i | ||||
\(547\) | −3.98211e16 | −1.48658 | −0.743291 | − | 0.668968i | \(-0.766736\pi\) | ||||
−0.743291 | + | 0.668968i | \(0.766736\pi\) | |||||||
\(548\) | −2.94729e15 | + | 5.10485e15i | −0.108828 | + | 0.188495i | ||||
\(549\) | −1.53351e15 | + | 8.85372e14i | −0.0560083 | + | 0.0323364i | ||||
\(550\) | 1.96670e15 | + | 3.40642e15i | 0.0710495 | + | 0.123061i | ||||
\(551\) | −9.50938e15 | − | 5.49025e15i | −0.339815 | − | 0.196192i | ||||
\(552\) | 8.30741e15i | 0.293651i | ||||||||
\(553\) | −3.00416e16 | + | 1.26598e16i | −1.05044 | + | 0.442665i | ||||
\(554\) | −2.61304e16 | −0.903832 | ||||||||
\(555\) | 1.39918e16 | − | 2.42344e16i | 0.478756 | − | 0.829230i | ||||
\(556\) | −1.31164e16 | + | 7.57278e15i | −0.443984 | + | 0.256334i | ||||
\(557\) | −1.37991e16 | − | 2.39007e16i | −0.462081 | − | 0.800348i | 0.536983 | − | 0.843593i | \(-0.319564\pi\) |
−0.999065 | + | 0.0432447i | \(0.986230\pi\) | |||||||
\(558\) | −6.66643e15 | − | 3.84887e15i | −0.220845 | − | 0.127505i | ||||
\(559\) | 2.45691e16i | 0.805228i | ||||||||
\(560\) | −4.25848e15 | − | 5.34125e14i | −0.138079 | − | 0.0173187i | ||||
\(561\) | −2.82491e15 | −0.0906206 | ||||||||
\(562\) | −1.13404e16 | + | 1.96421e16i | −0.359924 | + | 0.623406i | ||||
\(563\) | 5.01324e16 | − | 2.89439e16i | 1.57423 | − | 0.908882i | 0.578587 | − | 0.815620i | \(-0.303604\pi\) |
0.995642 | − | 0.0932613i | \(-0.0297292\pi\) | |||||||
\(564\) | 1.82479e16 | + | 3.16063e16i | 0.566941 | + | 0.981971i | ||||
\(565\) | 1.75791e15 | + | 1.01493e15i | 0.0540389 | + | 0.0311993i | ||||
\(566\) | − | 3.80827e16i | − | 1.15832i | ||||||
\(567\) | 5.12442e15 | − | 4.08561e16i | 0.154222 | − | 1.22958i | ||||
\(568\) | −2.28720e16 | −0.681105 | ||||||||
\(569\) | 2.77987e15 | − | 4.81487e15i | 0.0819125 | − | 0.141877i | −0.822159 | − | 0.569258i | \(-0.807231\pi\) |
0.904071 | + | 0.427381i | \(0.140564\pi\) | |||||||
\(570\) | −2.27748e16 | + | 1.31491e16i | −0.664058 | + | 0.383394i | ||||
\(571\) | 1.02171e16 | + | 1.76965e16i | 0.294788 | + | 0.510588i | 0.974936 | − | 0.222487i | \(-0.0714176\pi\) |
−0.680147 | + | 0.733075i | \(0.738084\pi\) | |||||||
\(572\) | 2.51405e15 | + | 1.45149e15i | 0.0717792 | + | 0.0414417i | ||||
\(573\) | − | 5.07231e16i | − | 1.43310i | ||||||
\(574\) | −9.82580e15 | − | 2.33166e16i | −0.274724 | − | 0.651920i | ||||
\(575\) | −1.75331e16 | −0.485122 | ||||||||
\(576\) | 9.04254e14 | − | 1.56621e15i | 0.0247603 | − | 0.0428861i | ||||
\(577\) | 3.56461e14 | − | 2.05803e14i | 0.00965956 | − | 0.00557695i | −0.495162 | − | 0.868800i | \(-0.664891\pi\) |
0.504822 | + | 0.863223i | \(0.331558\pi\) | |||||||
\(578\) | −1.22687e16 | − | 2.12500e16i | −0.329026 | − | 0.569890i | ||||
\(579\) | 4.24043e16 | + | 2.44822e16i | 1.12548 | + | 0.649798i | ||||
\(580\) | − | 2.52162e15i | − | 0.0662387i | ||||||
\(581\) | 5.81358e15 | − | 7.67327e15i | 0.151143 | − | 0.199491i | ||||
\(582\) | 1.33605e16 | 0.343784 | ||||||||
\(583\) | 6.04936e15 | − | 1.04778e16i | 0.154063 | − | 0.266845i | ||||
\(584\) | 8.22283e15 | − | 4.74746e15i | 0.207274 | − | 0.119670i | ||||
\(585\) | −2.51589e15 | − | 4.35765e15i | −0.0627706 | − | 0.108722i | ||||
\(586\) | 3.68053e16 | + | 2.12495e16i | 0.908918 | + | 0.524764i | ||||
\(587\) | 4.40809e16i | 1.07751i | 0.842462 | + | 0.538756i | \(0.181106\pi\) | ||||
−0.842462 | + | 0.538756i | \(0.818894\pi\) | |||||||
\(588\) | −6.03034e15 | + | 2.36612e16i | −0.145907 | + | 0.572496i | ||||
\(589\) | −6.26664e16 | −1.50087 | ||||||||
\(590\) | −4.16943e14 | + | 7.22167e14i | −0.00988474 | + | 0.0171209i | ||||
\(591\) | 3.74307e16 | − | 2.16106e16i | 0.878421 | − | 0.507157i | ||||
\(592\) | 7.83322e15 | + | 1.35675e16i | 0.181974 | + | 0.315189i | ||||
\(593\) | 3.84620e16 | + | 2.22061e16i | 0.884513 | + | 0.510674i | 0.872144 | − | 0.489250i | \(-0.162729\pi\) |
0.0123689 | + | 0.999924i | \(0.496063\pi\) | |||||||
\(594\) | 6.45288e15i | 0.146904i | ||||||||
\(595\) | 5.18523e15 | + | 3.92854e15i | 0.116860 | + | 0.0885380i | ||||
\(596\) | 4.00640e15 | 0.0893876 | ||||||||
\(597\) | 1.34901e16 | − | 2.33655e16i | 0.297967 | − | 0.516095i | ||||
\(598\) | −1.12064e16 | + | 6.47001e15i | −0.245052 | + | 0.141481i | ||||
\(599\) | 4.03286e16 | + | 6.98511e16i | 0.873075 | + | 1.51221i | 0.858799 | + | 0.512313i | \(0.171211\pi\) |
0.0142767 | + | 0.999898i | \(0.495455\pi\) | |||||||
\(600\) | 1.16494e16 | + | 6.72580e15i | 0.249688 | + | 0.144157i | ||||
\(601\) | 5.23496e16i | 1.11088i | 0.831557 | + | 0.555439i | \(0.187450\pi\) | ||||
−0.831557 | + | 0.555439i | \(0.812550\pi\) | |||||||
\(602\) | 4.38684e16 | − | 1.84865e16i | 0.921665 | − | 0.388397i | ||||
\(603\) | 1.37792e16 | 0.286630 | ||||||||
\(604\) | 1.47545e16 | − | 2.55556e16i | 0.303881 | − | 0.526338i | ||||
\(605\) | −2.16352e16 | + | 1.24911e16i | −0.441193 | + | 0.254723i | ||||
\(606\) | 3.32168e16 | + | 5.75331e16i | 0.670690 | + | 1.16167i | ||||
\(607\) | 1.93747e16 | + | 1.11860e16i | 0.387350 | + | 0.223636i | 0.681011 | − | 0.732273i | \(-0.261541\pi\) |
−0.293662 | + | 0.955909i | \(0.594874\pi\) | |||||||
\(608\) | − | 1.47229e16i | − | 0.291455i | ||||||
\(609\) | −1.42347e16 | − | 1.78540e15i | −0.279026 | − | 0.0349972i | ||||
\(610\) | −3.31044e15 | −0.0642550 | ||||||||
\(611\) | −2.84238e16 | + | 4.92314e16i | −0.546304 | + | 0.946227i | ||||
\(612\) | −2.37400e15 | + | 1.37063e15i | −0.0451827 | + | 0.0260862i | ||||
\(613\) | −2.91851e16 | − | 5.05500e16i | −0.550045 | − | 0.952705i | −0.998271 | − | 0.0587849i | \(-0.981277\pi\) |
0.448226 | − | 0.893920i | \(-0.352056\pi\) | |||||||
\(614\) | −2.61343e16 | − | 1.50886e16i | −0.487754 | − | 0.281605i | ||||
\(615\) | − | 3.56041e16i | − | 0.658036i | ||||||
\(616\) | 7.00005e14 | − | 5.58101e15i | 0.0128120 | − | 0.102148i | ||||
\(617\) | −1.98026e16 | −0.358931 | −0.179466 | − | 0.983764i | \(-0.557437\pi\) | ||||
−0.179466 | + | 0.983764i | \(0.557437\pi\) | |||||||
\(618\) | 2.55511e16 | − | 4.42558e16i | 0.458647 | − | 0.794400i | ||||
\(619\) | 1.60595e16 | − | 9.27195e15i | 0.285488 | − | 0.164827i | −0.350417 | − | 0.936594i | \(-0.613960\pi\) |
0.635905 | + | 0.771767i | \(0.280627\pi\) | |||||||
\(620\) | −7.19553e15 | − | 1.24630e16i | −0.126681 | − | 0.219419i | ||||
\(621\) | −2.49101e16 | − | 1.43818e16i | −0.434336 | − | 0.250764i | ||||
\(622\) | − | 1.41516e16i | − | 0.244379i | ||||||
\(623\) | 2.47683e15 | + | 5.87751e15i | 0.0423612 | + | 0.100523i | ||||
\(624\) | 9.92775e15 | 0.168168 | ||||||||
\(625\) | −4.96079e15 | + | 8.59235e15i | −0.0832283 | + | 0.144156i | ||||
\(626\) | 9.47819e15 | − | 5.47224e15i | 0.157500 | − | 0.0909324i | ||||
\(627\) | −1.72327e16 | − | 2.98479e16i | −0.283627 | − | 0.491256i | ||||
\(628\) | −3.27020e16 | − | 1.88805e16i | −0.533109 | − | 0.307791i | ||||
\(629\) | − | 2.37465e16i | − | 0.383439i | ||||||
\(630\) | −5.88760e15 | + | 7.77096e15i | −0.0941662 | + | 0.124289i | ||||
\(631\) | 1.12464e16 | 0.178171 | 0.0890855 | − | 0.996024i | \(-0.471606\pi\) | ||||
0.0890855 | + | 0.996024i | \(0.471606\pi\) | |||||||
\(632\) | 1.28409e16 | − | 2.22411e16i | 0.201509 | − | 0.349023i | ||||
\(633\) | −9.44808e16 | + | 5.45485e16i | −1.46866 | + | 0.847931i | ||||
\(634\) | 2.99632e15 | + | 5.18978e15i | 0.0461373 | + | 0.0799122i | ||||
\(635\) | −4.09542e16 | − | 2.36449e16i | −0.624678 | − | 0.360658i | ||||
\(636\) | − | 4.13758e16i | − | 0.625178i | ||||||
\(637\) | −3.66146e16 | + | 1.02932e16i | −0.548048 | + | 0.154069i | ||||
\(638\) | 3.30474e15 | 0.0490020 | ||||||||
\(639\) | −2.59783e16 | + | 4.49957e16i | −0.381597 | + | 0.660946i | ||||
\(640\) | 2.92807e15 | − | 1.69052e15i | 0.0426090 | − | 0.0246003i | ||||
\(641\) | −2.17347e16 | − | 3.76457e16i | −0.313333 | − | 0.542709i | 0.665749 | − | 0.746176i | \(-0.268112\pi\) |
−0.979082 | + | 0.203467i | \(0.934779\pi\) | |||||||
\(642\) | −6.86718e16 | − | 3.96477e16i | −0.980773 | − | 0.566249i | ||||
\(643\) | 3.56902e16i | 0.504990i | 0.967598 | + | 0.252495i | \(0.0812512\pi\) | ||||
−0.967598 | + | 0.252495i | \(0.918749\pi\) | |||||||
\(644\) | 1.99843e16 | + | 1.51409e16i | 0.280139 | + | 0.212244i | ||||
\(645\) | 6.69864e16 | 0.930311 | ||||||||
\(646\) | −1.11581e16 | + | 1.93265e16i | −0.153531 | + | 0.265924i | ||||
\(647\) | 8.83324e16 | − | 5.09987e16i | 1.20419 | − | 0.695238i | 0.242704 | − | 0.970100i | \(-0.421966\pi\) |
0.961484 | + | 0.274862i | \(0.0886322\pi\) | |||||||
\(648\) | 1.62190e16 | + | 2.80921e16i | 0.219065 | + | 0.379432i | ||||
\(649\) | −9.46446e14 | − | 5.46431e14i | −0.0126657 | − | 0.00731252i | ||||
\(650\) | 2.09529e16i | 0.277820i | ||||||||
\(651\) | −7.54493e16 | + | 3.17949e16i | −0.991218 | + | 0.417707i | ||||
\(652\) | −5.67650e16 | −0.738916 | ||||||||
\(653\) | −1.37945e16 | + | 2.38927e16i | −0.177921 | + | 0.308168i | −0.941168 | − | 0.337939i | \(-0.890270\pi\) |
0.763247 | + | 0.646106i | \(0.223604\pi\) | |||||||
\(654\) | −7.40885e16 | + | 4.27750e16i | −0.946857 | + | 0.546668i | ||||
\(655\) | −3.60720e16 | − | 6.24785e16i | −0.456796 | − | 0.791193i | ||||
\(656\) | 1.72623e16 | + | 9.96640e15i | 0.216609 | + | 0.125059i | ||||
\(657\) | − | 2.15688e16i | − | 0.268185i | ||||||
\(658\) | 1.09290e17 | + | 1.37078e16i | 1.34656 | + | 0.168894i | ||||
\(659\) | 8.60974e16 | 1.05118 | 0.525590 | − | 0.850738i | \(-0.323844\pi\) | ||||
0.525590 | + | 0.850738i | \(0.323844\pi\) | |||||||
\(660\) | 3.95741e15 | − | 6.85443e15i | 0.0478792 | − | 0.0829292i | ||||
\(661\) | 1.10364e16 | − | 6.37188e15i | 0.132318 | − | 0.0763939i | −0.432380 | − | 0.901692i | \(-0.642326\pi\) |
0.564698 | + | 0.825298i | \(0.308993\pi\) | |||||||
\(662\) | −1.87740e16 | − | 3.25176e16i | −0.223054 | − | 0.386341i | ||||
\(663\) | −1.30320e16 | − | 7.52402e15i | −0.153437 | − | 0.0885868i | ||||
\(664\) | 7.58389e15i | 0.0884879i | ||||||||
\(665\) | −9.87758e15 | + | 7.87522e16i | −0.114214 | + | 0.910610i | ||||
\(666\) | 3.55882e16 | 0.407813 | ||||||||
\(667\) | −7.36544e15 | + | 1.27573e16i | −0.0836458 | + | 0.144879i | ||||
\(668\) | 2.12728e15 | − | 1.22818e15i | 0.0239423 | − | 0.0138231i | ||||
\(669\) | −3.72709e16 | − | 6.45551e16i | −0.415732 | − | 0.720069i | ||||
\(670\) | 2.23093e16 | + | 1.28803e16i | 0.246625 | + | 0.142389i | ||||
\(671\) | − | 4.33854e15i | − | 0.0475345i | ||||||
\(672\) | −7.46991e15 | − | 1.77261e16i | −0.0811148 | − | 0.192485i | ||||
\(673\) | 1.37493e17 | 1.47976 | 0.739879 | − | 0.672740i | \(-0.234883\pi\) | ||||
0.739879 | + | 0.672740i | \(0.234883\pi\) | |||||||
\(674\) | 6.23756e15 | − | 1.08038e16i | 0.0665358 | − | 0.115243i | ||||
\(675\) | −4.03351e16 | + | 2.32875e16i | −0.426443 | + | 0.246207i | ||||
\(676\) | −1.61253e16 | − | 2.79298e16i | −0.168977 | − | 0.292676i | ||||
\(677\) | −2.86231e16 | − | 1.65256e16i | −0.297293 | − | 0.171642i | 0.343933 | − | 0.938994i | \(-0.388241\pi\) |
−0.641226 | + | 0.767352i | \(0.721574\pi\) | |||||||
\(678\) | 9.09769e15i | 0.0936597i | ||||||||
\(679\) | 2.43506e16 | − | 3.21400e16i | 0.248480 | − | 0.327965i | ||||
\(680\) | −5.12483e15 | −0.0518354 | ||||||||
\(681\) | −7.10929e16 | + | 1.23137e17i | −0.712761 | + | 1.23454i | ||||
\(682\) | 1.63336e16 | − | 9.43020e15i | 0.162321 | − | 0.0937162i | ||||
\(683\) | 1.98041e16 | + | 3.43017e16i | 0.195088 | + | 0.337903i | 0.946929 | − | 0.321441i | \(-0.104167\pi\) |
−0.751841 | + | 0.659344i | \(0.770834\pi\) | |||||||
\(684\) | −2.89640e16 | − | 1.67224e16i | −0.282828 | − | 0.163291i | ||||
\(685\) | 2.50333e16i | 0.242312i | ||||||||
\(686\) | 4.59285e16 | + | 5.76309e16i | 0.440694 | + | 0.552981i | ||||
\(687\) | 8.36938e16 | 0.796073 | ||||||||
\(688\) | −1.87510e16 | + | 3.24777e16i | −0.176805 | + | 0.306235i | ||||
\(689\) | 5.58144e16 | − | 3.22245e16i | 0.521712 | − | 0.301211i | ||||
\(690\) | 1.76401e16 | + | 3.05536e16i | 0.163458 | + | 0.283118i | ||||
\(691\) | −6.34564e16 | − | 3.66366e16i | −0.582918 | − | 0.336548i | 0.179374 | − | 0.983781i | \(-0.442593\pi\) |
−0.762292 | + | 0.647233i | \(0.775926\pi\) | |||||||
\(692\) | − | 9.08162e15i | − | 0.0827041i | ||||||
\(693\) | −1.01843e16 | − | 7.71607e15i | −0.0919461 | − | 0.0696622i | ||||
\(694\) | 5.84142e14 | 0.00522831 | ||||||||
\(695\) | −3.21604e16 | + | 5.57034e16i | −0.285373 | + | 0.494280i | ||||
\(696\) | 9.78758e15 | − | 5.65086e15i | 0.0861033 | − | 0.0497118i | ||||
\(697\) | −1.51066e16 | − | 2.61654e16i | −0.131756 | − | 0.228208i | ||||
\(698\) | −2.94405e16 | − | 1.69975e16i | −0.254574 | − | 0.146978i | ||||
\(699\) | − | 3.65415e16i | − | 0.313273i | ||||||
\(700\) | 3.74115e16 | − | 1.57655e16i | 0.317993 | − | 0.134005i | ||||
\(701\) | −2.17411e16 | −0.183220 | −0.0916101 | − | 0.995795i | \(-0.529201\pi\) | ||||
−0.0916101 | + | 0.995795i | \(0.529201\pi\) | |||||||
\(702\) | −1.71870e16 | + | 2.97687e16i | −0.143607 | + | 0.248735i | ||||
\(703\) | 2.50905e17 | − | 1.44860e17i | 2.07863 | − | 1.20010i | ||||
\(704\) | 2.21554e15 | + | 3.83742e15i | 0.0181988 | + | 0.0315213i | ||||
\(705\) | 1.34227e17 | + | 7.74958e16i | 1.09321 | + | 0.631166i | ||||
\(706\) | 4.85060e16i | 0.391713i | ||||||||
\(707\) | 1.98942e17 | + | 2.49525e16i | 1.59297 | + | 0.199801i | ||||
\(708\) | −3.73742e15 | −0.0296738 | ||||||||
\(709\) | 1.03734e17 | − | 1.79673e17i | 0.816665 | − | 1.41450i | −0.0914619 | − | 0.995809i | \(-0.529154\pi\) |
0.908126 | − | 0.418696i | \(-0.137513\pi\) | |||||||
\(710\) | −8.41203e16 | + | 4.85669e16i | −0.656676 | + | 0.379132i | ||||
\(711\) | −2.91697e16 | − | 5.05234e16i | −0.225795 | − | 0.391088i | ||||
\(712\) | −4.35138e15 | − | 2.51227e15i | −0.0334000 | − | 0.0192835i | ||||
\(713\) | 8.40702e16i | 0.639889i | ||||||||
\(714\) | −3.62858e15 | + | 2.89300e16i | −0.0273872 | + | 0.218353i | ||||
\(715\) | 1.23285e16 | 0.0922728 | ||||||||
\(716\) | −4.52641e16 | + | 7.83998e16i | −0.335951 | + | 0.581884i | ||||
\(717\) | 4.09665e16 | − | 2.36520e16i | 0.301519 | − | 0.174082i | ||||
\(718\) | 4.14213e16 | + | 7.17438e16i | 0.302327 | + | 0.523646i | ||||
\(719\) | −2.07457e17 | − | 1.19775e17i | −1.50160 | − | 0.866950i | −0.999998 | − | 0.00185138i | \(-0.999411\pi\) |
−0.501602 | − | 0.865098i | \(-0.667256\pi\) | |||||||
\(720\) | − | 7.68045e15i | − | 0.0551305i | ||||||
\(721\) | −5.98926e16 | − | 1.42125e17i | −0.426346 | − | 1.01172i | ||||
\(722\) | −1.72107e17 | −1.21500 | ||||||||
\(723\) | −1.31158e17 | + | 2.27172e17i | −0.918257 | + | 1.59047i | ||||
\(724\) | 2.51842e15 | − | 1.45401e15i | 0.0174863 | − | 0.0100957i | ||||
\(725\) | 1.19263e16 | + | 2.06570e16i | 0.0821257 | + | 0.142246i | ||||
\(726\) | −9.69675e16 | − | 5.59842e16i | −0.662226 | − | 0.382337i | ||||
\(727\) | 5.15434e16i | 0.349113i | 0.984647 | + | 0.174557i | \(0.0558492\pi\) | ||||
−0.984647 | + | 0.174557i | \(0.944151\pi\) | |||||||
\(728\) | 1.80941e16 | − | 2.38821e16i | 0.121548 | − | 0.160430i | ||||
\(729\) | −5.28512e16 | −0.352119 | ||||||||
\(730\) | 2.01617e16 | − | 3.49211e16i | 0.133226 | − | 0.230755i | ||||
\(731\) | 4.92283e16 | − | 2.84220e16i | 0.322634 | − | 0.186273i | ||||
\(732\) | −7.41858e15 | − | 1.28494e16i | −0.0482230 | − | 0.0835247i | ||||
\(733\) | −1.01615e17 | − | 5.86675e16i | −0.655140 | − | 0.378245i | 0.135283 | − | 0.990807i | \(-0.456806\pi\) |
−0.790423 | + | 0.612562i | \(0.790139\pi\) | |||||||
\(734\) | − | 9.11546e16i | − | 0.582911i | ||||||
\(735\) | 2.80639e16 | + | 9.98278e16i | 0.178001 | + | 0.633180i | ||||
\(736\) | −1.97515e16 | −0.124260 | ||||||||
\(737\) | −1.68804e16 | + | 2.92378e16i | −0.105337 | + | 0.182448i | ||||
\(738\) | 3.92134e16 | − | 2.26399e16i | 0.242715 | − | 0.140132i | ||||
\(739\) | −5.17864e15 | − | 8.96968e15i | −0.0317943 | − | 0.0550694i | 0.849690 | − | 0.527282i | \(-0.176789\pi\) |
−0.881485 | + | 0.472213i | \(0.843455\pi\) | |||||||
\(740\) | 5.76192e16 | + | 3.32664e16i | 0.350895 | + | 0.202589i | ||||
\(741\) | − | 1.83594e17i | − | 1.10905i | ||||||
\(742\) | −9.95334e16 | − | 7.54105e16i | −0.596410 | − | 0.451865i | ||||
\(743\) | −2.76902e17 | −1.64586 | −0.822929 | − | 0.568144i | \(-0.807662\pi\) | ||||
−0.822929 | + | 0.568144i | \(0.807662\pi\) | |||||||
\(744\) | 3.22499e16 | − | 5.58584e16i | 0.190147 | − | 0.329345i | ||||
\(745\) | 1.47350e16 | − | 8.50728e15i | 0.0861814 | − | 0.0497569i | ||||
\(746\) | 4.37804e16 | + | 7.58299e16i | 0.254008 | + | 0.439954i | ||||
\(747\) | 1.49196e16 | + | 8.61386e15i | 0.0858687 | + | 0.0495763i | ||||
\(748\) | − | 6.71642e15i | − | 0.0383467i | ||||||
\(749\) | −2.20536e17 | + | 9.29356e16i | −1.24907 | + | 0.526370i | ||||
\(750\) | 1.39901e17 | 0.786058 | ||||||||
\(751\) | −2.83851e15 | + | 4.91644e15i | −0.0158216 | + | 0.0274038i | −0.873828 | − | 0.486236i | \(-0.838370\pi\) |
0.858006 | + | 0.513639i | \(0.171703\pi\) | |||||||
\(752\) | −7.51462e16 | + | 4.33857e16i | −0.415528 | + | 0.239905i | ||||
\(753\) | 1.61543e17 | + | 2.79801e17i | 0.886175 | + | 1.53490i | ||||
\(754\) | 1.52456e16 | + | 8.80205e15i | 0.0829691 | + | 0.0479023i | ||||
\(755\) | − | 1.25320e17i | − | 0.676612i | ||||||
\(756\) | 6.60843e16 | + | 8.28870e15i | 0.353971 | + | 0.0443972i | ||||
\(757\) | 5.87044e16 | 0.311957 | 0.155979 | − | 0.987760i | \(-0.450147\pi\) | ||||
0.155979 | + | 0.987760i | \(0.450147\pi\) | |||||||
\(758\) | −4.90083e16 | + | 8.48849e16i | −0.258378 | + | 0.447523i | ||||
\(759\) | −4.00424e16 | + | 2.31185e16i | −0.209445 | + | 0.120923i | ||||
\(760\) | −3.12629e16 | − | 5.41489e16i | −0.162236 | − | 0.281001i | ||||
\(761\) | −1.47143e17 | − | 8.49529e16i | −0.757585 | − | 0.437392i | 0.0708433 | − | 0.997487i | \(-0.477431\pi\) |
−0.828428 | + | 0.560096i | \(0.810764\pi\) | |||||||
\(762\) | − | 2.11950e17i | − | 1.08269i | ||||||
\(763\) | −3.21326e16 | + | 2.56188e17i | −0.162854 | + | 1.29841i | ||||
\(764\) | 1.20598e17 | 0.606428 | ||||||||
\(765\) | −5.82084e15 | + | 1.00820e16i | −0.0290414 | + | 0.0503011i | ||||
\(766\) | 2.08868e17 | − | 1.20590e17i | 1.03395 | − | 0.596950i | ||||
\(767\) | −2.91079e15 | − | 5.04164e15i | −0.0142968 | − | 0.0247628i | ||||
\(768\) | 1.31234e16 | + | 7.57680e15i | 0.0639557 | + | 0.0369248i | ||||
\(769\) | 1.95491e17i | 0.945298i | 0.881251 | + | 0.472649i | \(0.156702\pi\) | ||||
−0.881251 | + | 0.472649i | \(0.843298\pi\) | |||||||
\(770\) | −9.27630e15 | − | 2.20126e16i | −0.0445072 | − | 0.105616i | ||||
\(771\) | −2.14766e17 | −1.02244 | ||||||||
\(772\) | −5.82081e16 | + | 1.00819e17i | −0.274967 | + | 0.476256i | ||||
\(773\) | −1.12824e17 | + | 6.51389e16i | −0.528840 | + | 0.305326i | −0.740544 | − | 0.672008i | \(-0.765432\pi\) |
0.211704 | + | 0.977334i | \(0.432099\pi\) | |||||||
\(774\) | 4.25952e16 | + | 7.37770e16i | 0.198114 | + | 0.343143i | ||||
\(775\) | 1.17891e17 | + | 6.80645e16i | 0.544090 | + | 0.314131i | ||||
\(776\) | 3.17657e16i | 0.145475i | ||||||||
\(777\) | 2.28588e17 | − | 3.01710e17i | 1.03879 | − | 1.37108i | ||||
\(778\) | 9.79860e16 | 0.441862 | ||||||||
\(779\) | 1.84309e17 | − | 3.19232e17i | 0.824748 | − | 1.42851i | ||||
\(780\) | 3.65130e16 | − | 2.10808e16i | 0.162136 | − | 0.0936093i | ||||
\(781\) | −6.36500e16 | − | 1.10245e17i | −0.280474 | − | 0.485795i | ||||
\(782\) | 2.59274e16 | + | 1.49692e16i | 0.113375 | + | 0.0654574i | ||||
\(783\) | 3.91312e16i | 0.169806i | ||||||||
\(784\) | −5.62563e16 | − | 1.43376e16i | −0.242256 | − | 0.0617418i | ||||
\(785\) | −1.60365e17 | −0.685317 | ||||||||
\(786\) | 1.61672e17 | − | 2.80024e17i | 0.685645 | − | 1.18757i | ||||
\(787\) | −1.17760e17 | + | 6.79890e16i | −0.495622 | + | 0.286148i | −0.726904 | − | 0.686739i | \(-0.759041\pi\) |
0.231282 | + | 0.972887i | \(0.425708\pi\) | |||||||
\(788\) | 5.13809e16 | + | 8.89942e16i | 0.214607 | + | 0.371710i | ||||
\(789\) | 4.39491e17 | + | 2.53740e17i | 1.82175 | + | 1.05179i | ||||
\(790\) | − | 1.09067e17i | − | 0.448673i | ||||||
\(791\) | 2.18853e16 | + | 1.65812e16i | 0.0893500 | + | 0.0676952i | ||||
\(792\) | 1.00657e16 | 0.0407844 | ||||||||
\(793\) | 1.15555e16 | − | 2.00148e16i | 0.0464677 | − | 0.0804844i | ||||
\(794\) | 3.50757e16 | − | 2.02510e16i | 0.139986 | − | 0.0808208i | ||||
\(795\) | −8.78582e16 | − | 1.52175e17i | −0.348000 | − | 0.602754i | ||||
\(796\) | 5.55533e16 | + | 3.20737e16i | 0.218389 | + | 0.126087i | ||||
\(797\) | 7.42818e16i | 0.289823i | 0.989445 | + | 0.144911i | \(0.0462897\pi\) | ||||
−0.989445 | + | 0.144911i | \(0.953710\pi\) | |||||||
\(798\) | −3.27809e17 | + | 1.38141e17i | −1.26941 | + | 0.534941i | ||||
\(799\) | 1.31524e17 | 0.505505 | ||||||||
\(800\) | −1.59911e16 | + | 2.76974e16i | −0.0610012 | + | 0.105657i | ||||
\(801\) | −9.88468e15 | + | 5.70692e15i | −0.0374255 | + | 0.0216076i | ||||
\(802\) | −1.73232e17 | − | 3.00046e17i | −0.651000 | − | 1.12756i | ||||
\(803\) | 4.57663e16 | + | 2.64232e16i | 0.170707 | + | 0.0985580i | ||||
\(804\) | 1.15457e17i | 0.427449i | ||||||||
\(805\) | 1.05650e17 | + | 1.32513e16i | 0.388235 | + | 0.0486948i | ||||
\(806\) | 1.00468e17 | 0.366452 | ||||||||
\(807\) | −1.38210e17 | + | 2.39386e17i | −0.500376 | + | 0.866677i | ||||
\(808\) | −1.36789e17 | + | 7.89754e16i | −0.491569 | + | 0.283807i | ||||
\(809\) | 8.62235e16 | + | 1.49343e17i | 0.307563 | + | 0.532715i | 0.977829 | − | 0.209406i | \(-0.0671531\pi\) |
−0.670265 | + | 0.742121i | \(0.733820\pi\) | |||||||
\(810\) | 1.19302e17 | + | 6.88793e16i | 0.422415 | + | 0.243881i | ||||
\(811\) | − | 9.05781e16i | − | 0.318345i | −0.987251 | − | 0.159172i | \(-0.949117\pi\) | ||
0.987251 | − | 0.159172i | \(-0.0508826\pi\) | |||||||
\(812\) | 4.24493e15 | − | 3.38441e16i | 0.0148093 | − | 0.118072i | ||||
\(813\) | −8.34960e16 | −0.289150 | ||||||||
\(814\) | −4.35978e16 | + | 7.55136e16i | −0.149871 | + | 0.259585i | ||||
\(815\) | −2.08774e17 | + | 1.20536e17i | −0.712412 | + | 0.411311i | ||||
\(816\) | −1.14846e16 | − | 1.98919e16i | −0.0389022 | − | 0.0673805i | ||||
\(817\) | 6.00611e17 | + | 3.46763e17i | 2.01958 | + | 1.16600i | ||||
\(818\) | 1.63683e17i | 0.546367i | ||||||||
\(819\) | −2.64314e16 | − | 6.27217e16i | −0.0875825 | − | 0.207833i | ||||
\(820\) | 8.46514e16 | 0.278452 | ||||||||
\(821\) | 2.90373e17 | − | 5.02941e17i | 0.948195 | − | 1.64232i | 0.198971 | − | 0.980005i | \(-0.436240\pi\) |
0.749224 | − | 0.662316i | \(-0.230426\pi\) | |||||||
\(822\) | −9.71660e16 | + | 5.60988e16i | −0.314980 | + | 0.181854i | ||||
\(823\) | −9.00951e16 | − | 1.56049e17i | −0.289936 | − | 0.502184i | 0.683858 | − | 0.729615i | \(-0.260301\pi\) |
−0.973794 | + | 0.227431i | \(0.926967\pi\) | |||||||
\(824\) | 1.05221e17 | + | 6.07496e16i | 0.336156 | + | 0.194080i | ||||
\(825\) | 7.48684e16i | 0.237451i | ||||||||
\(826\) | −6.81174e15 | + | 8.99072e15i | −0.0214475 | + | 0.0283083i | ||||
\(827\) | 3.77617e17 | 1.18037 | 0.590185 | − | 0.807268i | \(-0.299055\pi\) | ||||
0.590185 | + | 0.807268i | \(0.299055\pi\) | |||||||
\(828\) | −2.24339e16 | + | 3.88567e16i | −0.0696183 | + | 0.120583i | ||||
\(829\) | −5.20459e16 | + | 3.00487e16i | −0.160346 | + | 0.0925760i | −0.578026 | − | 0.816018i | \(-0.696177\pi\) |
0.417680 | + | 0.908594i | \(0.362843\pi\) | |||||||
\(830\) | 1.61038e16 | + | 2.78926e16i | 0.0492560 | + | 0.0853140i | ||||
\(831\) | −4.30733e17 | − | 2.48684e17i | −1.30798 | − | 0.755164i | ||||
\(832\) | 2.36040e16i | 0.0711615i | ||||||||
\(833\) | 6.29805e16 | + | 6.14561e16i | 0.188511 | + | 0.183948i | ||||
\(834\) | −2.88281e17 | −0.856683 | ||||||||
\(835\) | 5.21590e15 | − | 9.03420e15i | 0.0153890 | − | 0.0266545i | ||||
\(836\) | 7.09655e16 | − | 4.09720e16i | 0.207879 | − | 0.120019i | ||||
\(837\) | 1.11662e17 | + | 1.93405e17i | 0.324753 | + | 0.562489i | ||||
\(838\) | 1.43006e17 | + | 8.25648e16i | 0.412944 | + | 0.238414i | ||||
\(839\) | − | 2.04585e17i | − | 0.586546i | −0.956029 | − | 0.293273i | \(-0.905256\pi\) | ||
0.956029 | − | 0.293273i | \(-0.0947444\pi\) | |||||||
\(840\) | −6.51133e16 | − | 4.93325e16i | −0.185351 | − | 0.140429i | ||||
\(841\) | −3.33774e17 | −0.943359 | ||||||||
\(842\) | −7.45518e16 | + | 1.29127e17i | −0.209211 | + | 0.362365i | ||||
\(843\) | −3.73869e17 | + | 2.15853e17i | −1.04173 | + | 0.601442i | ||||
\(844\) | −1.29693e17 | − | 2.24635e17i | −0.358808 | − | 0.621474i | ||||
\(845\) | −1.18613e17 | − | 6.84814e16i | −0.325832 | − | 0.188119i | ||||
\(846\) | 1.97112e17i | 0.537638i | ||||||||
\(847\) | −3.11406e17 | + | 1.31229e17i | −0.843386 | + | 0.355410i | ||||
\(848\) | 9.83740e16 | 0.264549 | ||||||||
\(849\) | 3.62434e17 | − | 6.27753e17i | 0.967793 | − | 1.67627i | ||||
\(850\) | 4.19825e16 | − | 2.42386e16i | 0.111315 | − | 0.0642679i | ||||
\(851\) | −1.94337e17 | − | 3.36602e17i | −0.511656 | − | 0.886215i | ||||
\(852\) | −3.77021e17 | − | 2.17673e17i | −0.985663 | − | 0.569073i | ||||
\(853\) | 5.22323e17i | 1.35595i | 0.735083 | + | 0.677977i | \(0.237143\pi\) | ||||
−0.735083 | + | 0.677977i | \(0.762857\pi\) | |||||||
\(854\) | −4.44313e16 | − | 5.57284e15i | −0.114536 | − | 0.0143658i | ||||
\(855\) | −1.42035e17 | −0.363578 | ||||||||
\(856\) | 9.42653e16 | − | 1.63272e17i | 0.239613 | − | 0.415021i | ||||
\(857\) | −2.73203e17 | + | 1.57734e17i | −0.689605 | + | 0.398144i | −0.803464 | − | 0.595353i | \(-0.797012\pi\) |
0.113859 | + | 0.993497i | \(0.463679\pi\) | |||||||
\(858\) | 2.76277e16 | + | 4.78526e16i | 0.0692502 | + | 0.119945i | ||||
\(859\) | −4.29262e17 | − | 2.47835e17i | −1.06847 | − | 0.616883i | −0.140709 | − | 0.990051i | \(-0.544938\pi\) |
−0.927764 | + | 0.373168i | \(0.878272\pi\) | |||||||
\(860\) | 1.59265e17i | 0.393668i | ||||||||
\(861\) | 5.99365e16 | − | 4.77862e17i | 0.147120 | − | 1.17296i | ||||
\(862\) | −4.28027e17 | −1.04334 | ||||||||
\(863\) | 1.43524e17 | − | 2.48591e17i | 0.347424 | − | 0.601755i | −0.638367 | − | 0.769732i | \(-0.720390\pi\) |
0.985791 | + | 0.167976i | \(0.0537233\pi\) | |||||||
\(864\) | −4.54386e16 | + | 2.62340e16i | −0.109230 | + | 0.0630641i | ||||
\(865\) | −1.92841e16 | − | 3.34010e16i | −0.0460366 | − | 0.0797377i | ||||
\(866\) | 3.67672e17 | + | 2.12276e17i | 0.871673 | + | 0.503261i | ||||
\(867\) | − | 4.67045e17i | − | 1.09962i | ||||||
\(868\) | −7.55948e16 | − | 1.79386e17i | −0.176756 | − | 0.419441i | ||||
\(869\) | 1.42939e17 | 0.331919 | ||||||||
\(870\) | 2.39983e16 | − | 4.15663e16i | 0.0553433 | − | 0.0958574i | ||||
\(871\) | −1.55747e17 | + | 8.99208e16i | −0.356707 | + | 0.205945i | ||||
\(872\) | −1.01701e17 | − | 1.76151e17i | −0.231327 | − | 0.400669i | ||||
\(873\) | 6.24920e16 | + | 3.60798e16i | 0.141169 | + | 0.0815039i | ||||
\(874\) | 3.65265e17i | 0.819482i | ||||||||
\(875\) | 2.54981e17 | − | 3.36546e17i | 0.568145 | − | 0.749887i | ||||
\(876\) | 1.80726e17 | 0.399942 | ||||||||
\(877\) | −1.90465e17 | + | 3.29896e17i | −0.418619 | + | 0.725069i | −0.995801 | − | 0.0915468i | \(-0.970819\pi\) |
0.577182 | + | 0.816615i | \(0.304152\pi\) | |||||||
\(878\) | 1.40376e16 | − | 8.10463e15i | 0.0306427 | − | 0.0176916i | ||||
\(879\) | 4.04465e17 | + | 7.00553e17i | 0.876894 | + | 1.51883i | ||||
\(880\) | 1.62969e16 | + | 9.40903e15i | 0.0350921 | + | 0.0202604i | ||||
\(881\) | − | 4.35093e17i | − | 0.930522i | −0.885174 | − | 0.465261i | \(-0.845961\pi\) | ||
0.885174 | − | 0.465261i | \(-0.154039\pi\) | |||||||
\(882\) | −9.21025e16 | + | 9.43871e16i | −0.195641 | + | 0.200494i | ||||
\(883\) | 7.33662e17 | 1.54786 | 0.773931 | − | 0.633270i | \(-0.218288\pi\) | ||||
0.773931 | + | 0.633270i | \(0.218288\pi\) | |||||||
\(884\) | 1.78889e16 | − | 3.09845e16i | 0.0374861 | − | 0.0649279i | ||||
\(885\) | −1.37458e16 | + | 7.93612e15i | −0.0286094 | + | 0.0165177i | ||||
\(886\) | −6.55408e16 | − | 1.13520e17i | −0.135491 | − | 0.234677i | ||||
\(887\) | 5.12834e17 | + | 2.96085e17i | 1.05302 | + | 0.607959i | 0.923492 | − | 0.383617i | \(-0.125322\pi\) |
0.129524 | + | 0.991576i | \(0.458655\pi\) | |||||||
\(888\) | 2.98196e17i | 0.608168i | ||||||||
\(889\) | −5.09865e17 | − | 3.86295e17i | −1.03287 | − | 0.782543i | ||||
\(890\) | −2.13384e16 | −0.0429360 | ||||||||
\(891\) | −9.02707e16 | + | 1.56353e17i | −0.180418 | + | 0.312494i | ||||
\(892\) | 1.53485e17 | − | 8.86144e16i | 0.304702 | − | 0.175920i | ||||
\(893\) | 8.02333e17 | + | 1.38968e18i | 1.58214 | + | 2.74035i | ||||
\(894\) | 6.60414e16 | + | 3.81290e16i | 0.129357 | + | 0.0746845i | ||||
\(895\) | 3.84459e17i | 0.748018i | ||||||||
\(896\) | 4.21451e16 | − | 1.77603e16i | 0.0814515 | − | 0.0343243i | ||||
\(897\) | −2.46301e17 | −0.472837 | ||||||||
\(898\) | −1.24863e17 | + | 2.16269e17i | −0.238109 | + | 0.412417i | ||||
\(899\) | 9.90493e16 | − | 5.71862e16i | 0.187626 | − | 0.108326i | ||||
\(900\) | 3.63257e16 | + | 6.29180e16i | 0.0683532 | + | 0.118391i | ||||
\(901\) | −1.29134e17 | − | 7.45555e16i | −0.241375 | − | 0.139358i | ||||
\(902\) | 1.10941e17i | 0.205993i | ||||||||
\(903\) | 8.99061e17 | + | 1.12766e17i | 1.65830 | + | 0.207994i | ||||
\(904\) | −2.16304e16 | −0.0396328 | ||||||||
\(905\) | 6.17496e15 | − | 1.06953e16i | 0.0112394 | − | 0.0194672i | ||||
\(906\) | 4.86427e17 | − | 2.80838e17i | 0.879525 | − | 0.507794i | ||||
\(907\) | 1.30494e16 | + | 2.26022e16i | 0.0234394 | + | 0.0405982i | 0.877507 | − | 0.479564i | \(-0.159205\pi\) |
−0.854068 | + | 0.520162i | \(0.825872\pi\) | |||||||
\(908\) | −2.92766e17 | − | 1.69029e17i | −0.522403 | − | 0.301610i | ||||
\(909\) | 3.58804e17i | 0.636025i | ||||||||
\(910\) | 1.58359e16 | − | 1.26257e17i | 0.0278865 | − | 0.222334i | ||||
\(911\) | 3.22736e17 | 0.564595 | 0.282297 | − | 0.959327i | \(-0.408904\pi\) | ||||
0.282297 | + | 0.959327i | \(0.408904\pi\) | |||||||
\(912\) | 1.40118e17 | − | 2.42691e17i | 0.243514 | − | 0.421779i | ||||
\(913\) | −3.65550e16 | + | 2.11050e16i | −0.0631135 | + | 0.0364386i | ||||
\(914\) | −1.62017e17 | − | 2.80622e17i | −0.277898 | − | 0.481333i | ||||
\(915\) | −5.45692e16 | − | 3.15055e16i | −0.0929867 | − | 0.0536859i | ||||
\(916\) | 1.98988e17i | 0.336864i | ||||||||
\(917\) | −3.78965e17 | − | 8.99282e17i | −0.637357 | − | 1.51245i | ||||
\(918\) | 7.95286e16 | 0.132882 | ||||||||
\(919\) | −3.47547e17 | + | 6.01969e17i | −0.576926 | + | 0.999266i | 0.418903 | + | 0.908031i | \(0.362415\pi\) |
−0.995829 | + | 0.0912348i | \(0.970919\pi\) | |||||||
\(920\) | −7.26435e16 | + | 4.19407e16i | −0.119804 | + | 0.0691686i | ||||
\(921\) | −2.87198e17 | − | 4.97441e17i | −0.470569 | − | 0.815049i | ||||
\(922\) | 2.96474e17 | + | 1.71170e17i | 0.482616 | + | 0.278638i | ||||
\(923\) | − | 6.78117e17i | − | 1.09672i | ||||||
\(924\) | 6.46534e16 | − | 8.53352e16i | 0.103887 | − | 0.137119i | ||||
\(925\) | −6.29353e17 | −1.00472 | ||||||||
\(926\) | 1.06331e17 | − | 1.84171e17i | 0.168653 | − | 0.292115i | ||||
\(927\) | 2.39023e17 | − | 1.38000e17i | 0.376671 | − | 0.217471i | ||||
\(928\) | 1.34353e16 | + | 2.32707e16i | 0.0210359 | + | 0.0364352i | ||||
\(929\) | −2.55576e17 | − | 1.47557e17i | −0.397581 | − | 0.229544i | 0.287858 | − | 0.957673i | \(-0.407057\pi\) |
−0.685440 | + | 0.728129i | \(0.740390\pi\) | |||||||
\(930\) | − | 2.73920e17i | − | 0.423376i | ||||||
\(931\) | −2.65145e17 | + | 1.04035e18i | −0.407179 | + | 1.59765i | ||||
\(932\) | 8.68801e16 | 0.132564 | ||||||||
\(933\) | 1.34681e17 | − | 2.33275e17i | 0.204182 | − | 0.353653i | ||||
\(934\) | 5.65166e17 | − | 3.26299e17i | 0.851324 | − | 0.491512i | ||||
\(935\) | −1.42618e16 | − | 2.47021e16i | −0.0213454 | − | 0.0369713i | ||||
\(936\) | 4.64356e16 | + | 2.68096e16i | 0.0690552 | + | 0.0398690i | ||||
\(937\) | − | 6.78231e17i | − | 1.00217i | −0.865399 | − | 0.501083i | \(-0.832935\pi\) | ||
0.865399 | − | 0.501083i | \(-0.167065\pi\) | |||||||
\(938\) | 2.77743e17 | + | 2.10429e17i | 0.407780 | + | 0.308951i | ||||
\(939\) | 2.08317e17 | 0.303901 | ||||||||
\(940\) | −1.84252e17 | + | 3.19134e17i | −0.267082 | + | 0.462600i | ||||
\(941\) | −8.12976e17 | + | 4.69372e17i | −1.17095 | + | 0.676051i | −0.953905 | − | 0.300109i | \(-0.902977\pi\) |
−0.217050 | + | 0.976160i | \(0.569644\pi\) | |||||||
\(942\) | −3.59372e17 | − | 6.22451e17i | −0.514326 | − | 0.890840i | ||||
\(943\) | −4.28266e17 | − | 2.47260e17i | −0.609037 | − | 0.351628i | ||||
\(944\) | − | 8.88600e15i | − | 0.0125567i | ||||||
\(945\) | 2.60650e17 | − | 1.09840e17i | 0.365988 | − | 0.154230i | ||||
\(946\) | −2.08727e17 | −0.291227 | ||||||||
\(947\) | −4.28673e17 | + | 7.42484e17i | −0.594328 | + | 1.02941i | 0.399313 | + | 0.916815i | \(0.369249\pi\) |
−0.993641 | + | 0.112592i | \(0.964085\pi\) | |||||||
\(948\) | 4.23338e17 | − | 2.44414e17i | 0.583227 | − | 0.336726i | ||||
\(949\) | 1.40754e17 | + | 2.43793e17i | 0.192692 | + | 0.333752i | ||||
\(950\) | 5.12209e17 | + | 2.95724e17i | 0.696795 | + | 0.402295i | ||||
\(951\) | 1.14064e17i | 0.154193i | ||||||||
\(952\) | −6.87833e16 | − | 8.62722e15i | −0.0923977 | − | 0.0115891i | ||||
\(953\) | −8.08071e17 | −1.07868 | −0.539339 | − | 0.842088i | \(-0.681326\pi\) | ||||
−0.539339 | + | 0.842088i | \(0.681326\pi\) | |||||||
\(954\) | 1.11734e17 | − | 1.93529e17i | 0.148216 | − | 0.256718i | ||||
\(955\) | 4.43543e17 | − | 2.56080e17i | 0.584677 | − | 0.337563i | ||||
\(956\) | 5.62345e16 | + | 9.74010e16i | 0.0736640 | + | 0.127590i | ||||
\(957\) | 5.44753e16 | + | 3.14513e16i | 0.0709133 | + | 0.0409418i | ||||
\(958\) | − | 4.57505e17i | − | 0.591838i | ||||||
\(959\) | −4.21415e16 | + | 3.35986e17i | −0.0541749 | + | 0.431926i | ||||
\(960\) | 6.43549e16 | 0.0822156 | ||||||||
\(961\) | −6.74661e16 | + | 1.16855e17i | −0.0856536 | + | 0.148356i | ||||
\(962\) | −4.02255e17 | + | 2.32242e17i | −0.507517 | + | 0.293015i | ||||
\(963\) | −2.14135e17 | − | 3.70893e17i | −0.268491 | − | 0.465041i | ||||
\(964\) | −5.40118e17 | − | 3.11837e17i | −0.673018 | − | 0.388567i | ||||
\(965\) | 4.94401e17i | 0.612232i | ||||||||
\(966\) | 1.85324e17 | + | 4.39772e17i | 0.228070 | + | 0.541209i | ||||
\(967\) | 4.31160e17 | 0.527326 | 0.263663 | − | 0.964615i | \(-0.415069\pi\) | ||||
0.263663 | + | 0.964615i | \(0.415069\pi\) | |||||||
\(968\) | 1.33107e17 | − | 2.30547e17i | 0.161788 | − | 0.280226i | ||||
\(969\) | −3.67861e17 | + | 2.12384e17i | −0.444366 | + | 0.256555i | ||||
\(970\) | 6.74518e16 | + | 1.16830e17i | 0.0809773 | + | 0.140257i | ||||
\(971\) | −2.24945e17 | − | 1.29872e17i | −0.268387 | − | 0.154953i | 0.359767 | − | 0.933042i | \(-0.382856\pi\) |
−0.628154 | + | 0.778089i | \(0.716189\pi\) | |||||||
\(972\) | 3.16571e17i | 0.375382i | ||||||||
\(973\) | −5.25414e17 | + | 6.93488e17i | −0.619192 | + | 0.817263i | ||||
\(974\) | −2.90849e17 | −0.340654 | ||||||||
\(975\) | −1.99409e17 | + | 3.45386e17i | −0.232122 | + | 0.402047i | ||||
\(976\) | 3.05503e16 | − | 1.76382e16i | 0.0353441 | − | 0.0204059i | ||||
\(977\) | −6.71442e17 | − | 1.16297e18i | −0.772042 | − | 1.33722i | −0.936442 | − | 0.350822i | \(-0.885902\pi\) |
0.164400 | − | 0.986394i | \(-0.447431\pi\) | |||||||
\(978\) | −9.35711e17 | − | 5.40233e17i | −1.06932 | − | 0.617374i | ||||
\(979\) | − | 2.79654e16i | − | 0.0317632i | ||||||
\(980\) | −2.37348e17 | + | 6.67239e16i | −0.267935 | + | 0.0753226i | ||||
\(981\) | −4.62051e17 | −0.518413 | ||||||||
\(982\) | −2.37863e17 | + | 4.11991e17i | −0.265251 | + | 0.459429i | ||||
\(983\) | 6.08952e17 | − | 3.51578e17i | 0.674935 | − | 0.389674i | −0.123009 | − | 0.992406i | \(-0.539254\pi\) |
0.797944 | + | 0.602732i | \(0.205921\pi\) | |||||||
\(984\) | 1.89701e17 | + | 3.28571e17i | 0.208977 | + | 0.361959i | ||||
\(985\) | 3.77944e17 | + | 2.18206e17i | 0.413819 | + | 0.238919i | ||||
\(986\) | − | 4.07294e16i | − | 0.0443248i | ||||||
\(987\) | 1.67107e18 | + | 1.26607e18i | 1.80756 | + | 1.36948i | ||||
\(988\) | 4.36509e17 | 0.469301 | ||||||||
\(989\) | 4.65200e17 | − | 8.05750e17i | 0.497121 | − | 0.861039i | ||||
\(990\) | 3.70204e16 | − | 2.13737e16i | 0.0393215 | − | 0.0227023i | ||||
\(991\) | −4.22531e17 | − | 7.31845e17i | −0.446084 | − | 0.772640i | 0.552043 | − | 0.833815i | \(-0.313848\pi\) |
−0.998127 | + | 0.0611757i | \(0.980515\pi\) | |||||||
\(992\) | 1.32807e17 | + | 7.66764e16i | 0.139365 | + | 0.0804622i | ||||
\(993\) | − | 7.14692e17i | − | 0.745458i | ||||||
\(994\) | −1.21078e18 | + | 5.10234e17i | −1.25530 | + | 0.528994i | ||||
\(995\) | 2.72424e17 | 0.280741 | ||||||||
\(996\) | −7.21760e16 | + | 1.25013e17i | −0.0739328 | + | 0.128055i | ||||
\(997\) | 1.30531e18 | − | 7.53621e17i | 1.32905 | − | 0.767330i | 0.343901 | − | 0.939006i | \(-0.388252\pi\) |
0.985153 | + | 0.171676i | \(0.0549182\pi\) | |||||||
\(998\) | 8.82778e15 | + | 1.52902e16i | 0.00893446 | + | 0.0154749i | ||||
\(999\) | −8.94151e17 | − | 5.16238e17i | −0.899534 | − | 0.519346i |
(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 | 14.13.d.a.5.1 | yes | 16 | |
3.2 | odd | 2 | 126.13.n.a.19.7 | 16 | |||
4.3 | odd | 2 | 112.13.s.c.33.7 | 16 | |||
7.2 | even | 3 | 98.13.b.c.97.10 | 16 | |||
7.3 | odd | 6 | inner | 14.13.d.a.3.1 | ✓ | 16 | |
7.4 | even | 3 | 98.13.d.a.31.4 | 16 | |||
7.5 | odd | 6 | 98.13.b.c.97.15 | 16 | |||
7.6 | odd | 2 | 98.13.d.a.19.4 | 16 | |||
21.17 | even | 6 | 126.13.n.a.73.7 | 16 | |||
28.3 | even | 6 | 112.13.s.c.17.7 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.13.d.a.3.1 | ✓ | 16 | 7.3 | odd | 6 | inner | |
14.13.d.a.5.1 | yes | 16 | 1.1 | even | 1 | trivial | |
98.13.b.c.97.10 | 16 | 7.2 | even | 3 | |||
98.13.b.c.97.15 | 16 | 7.5 | odd | 6 | |||
98.13.d.a.19.4 | 16 | 7.6 | odd | 2 | |||
98.13.d.a.31.4 | 16 | 7.4 | even | 3 | |||
112.13.s.c.17.7 | 16 | 28.3 | even | 6 | |||
112.13.s.c.33.7 | 16 | 4.3 | odd | 2 | |||
126.13.n.a.19.7 | 16 | 3.2 | odd | 2 | |||
126.13.n.a.73.7 | 16 | 21.17 | even | 6 |