Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,14,Mod(9,14)]
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([2]))
N = Newforms(chi, 14, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 14);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 14 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(15.0123300533\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 209077 x^{6} - 47718852 x^{5} + 40973427094 x^{4} - 4988457209802 x^{3} + \cdots + 75\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{14}\cdot 3\cdot 7^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Root | \(169.399 + 293.408i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.9 |
Dual form | 14.14.c.b.11.3 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 32.0000 | − | 55.4256i | 0.353553 | − | 0.612372i | ||||
\(3\) | 194.343 | + | 336.611i | 0.153915 | + | 0.266588i | 0.932663 | − | 0.360748i | \(-0.117479\pi\) |
−0.778749 | + | 0.627336i | \(0.784145\pi\) | |||||||
\(4\) | −2048.00 | − | 3547.24i | −0.250000 | − | 0.433013i | ||||
\(5\) | −12951.1 | + | 22432.0i | −0.370682 | + | 0.642040i | −0.989671 | − | 0.143360i | \(-0.954209\pi\) |
0.618988 | + | 0.785400i | \(0.287543\pi\) | |||||||
\(6\) | 24875.9 | 0.217668 | ||||||||
\(7\) | 286520. | − | 121636.i | 0.920487 | − | 0.390772i | ||||
\(8\) | −262144. | −0.353553 | ||||||||
\(9\) | 721623. | − | 1.24989e6i | 0.452621 | − | 0.783962i | ||||
\(10\) | 828871. | + | 1.43565e6i | 0.262112 | + | 0.453991i | ||||
\(11\) | 112686. | + | 195179.i | 0.0191787 | + | 0.0332185i | 0.875455 | − | 0.483299i | \(-0.160562\pi\) |
−0.856277 | + | 0.516517i | \(0.827228\pi\) | |||||||
\(12\) | 796028. | − | 1.37876e6i | 0.0769573 | − | 0.133294i | ||||
\(13\) | 2.48426e7 | 1.42747 | 0.713733 | − | 0.700418i | \(-0.247003\pi\) | ||||
0.713733 | + | 0.700418i | \(0.247003\pi\) | |||||||
\(14\) | 2.42691e6 | − | 1.97729e7i | 0.0861431 | − | 0.701840i | ||||
\(15\) | −1.00678e7 | −0.228214 | ||||||||
\(16\) | −8.38861e6 | + | 1.45295e7i | −0.125000 | + | 0.216506i | ||||
\(17\) | −6.10156e7 | − | 1.05682e8i | −0.613088 | − | 1.06190i | −0.990717 | − | 0.135943i | \(-0.956594\pi\) |
0.377628 | − | 0.925957i | \(-0.376740\pi\) | |||||||
\(18\) | −4.61839e7 | − | 7.99928e7i | −0.320051 | − | 0.554345i | ||||
\(19\) | 1.07218e8 | − | 1.85707e8i | 0.522840 | − | 0.905586i | −0.476806 | − | 0.879008i | \(-0.658206\pi\) |
0.999647 | − | 0.0265777i | \(-0.00846095\pi\) | |||||||
\(20\) | 1.06095e8 | 0.370682 | ||||||||
\(21\) | 9.66271e7 | + | 7.28069e7i | 0.245852 | + | 0.185245i | ||||
\(22\) | 1.44239e7 | 0.0271228 | ||||||||
\(23\) | 4.90873e8 | − | 8.50217e8i | 0.691414 | − | 1.19756i | −0.279960 | − | 0.960012i | \(-0.590321\pi\) |
0.971375 | − | 0.237553i | \(-0.0763453\pi\) | |||||||
\(24\) | −5.09458e7 | − | 8.82407e7i | −0.0544171 | − | 0.0942531i | ||||
\(25\) | 2.74889e8 | + | 4.76122e8i | 0.225189 | + | 0.390040i | ||||
\(26\) | 7.94964e8 | − | 1.37692e9i | 0.504685 | − | 0.874140i | ||||
\(27\) | 1.18066e9 | 0.586489 | ||||||||
\(28\) | −1.01826e9 | − | 7.67246e8i | −0.399331 | − | 0.300890i | ||||
\(29\) | −2.47347e9 | −0.772183 | −0.386092 | − | 0.922460i | \(-0.626175\pi\) | ||||
−0.386092 | + | 0.922460i | \(0.626175\pi\) | |||||||
\(30\) | −3.22170e8 | + | 5.58015e8i | −0.0806857 | + | 0.139752i | ||||
\(31\) | 2.44134e9 | + | 4.22852e9i | 0.494057 | + | 0.855732i | 0.999977 | − | 0.00684873i | \(-0.00218004\pi\) |
−0.505919 | + | 0.862581i | \(0.668847\pi\) | |||||||
\(32\) | 5.36871e8 | + | 9.29888e8i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −4.37995e7 | + | 7.58630e7i | −0.00590376 | + | 0.0102256i | ||||
\(34\) | −7.81000e9 | −0.867038 | ||||||||
\(35\) | −9.82222e8 | + | 8.00253e9i | −0.0903165 | + | 0.735842i | ||||
\(36\) | −5.91154e9 | −0.452621 | ||||||||
\(37\) | −1.35052e10 | + | 2.33916e10i | −0.865343 | + | 1.49882i | 0.00136270 | + | 0.999999i | \(0.499566\pi\) |
−0.866706 | + | 0.498819i | \(0.833767\pi\) | |||||||
\(38\) | −6.86195e9 | − | 1.18852e10i | −0.369704 | − | 0.640346i | ||||
\(39\) | 4.82798e9 | + | 8.36231e9i | 0.219708 | + | 0.380545i | ||||
\(40\) | 3.39505e9 | − | 5.88041e9i | 0.131056 | − | 0.226996i | ||||
\(41\) | 3.27287e10 | 1.07605 | 0.538026 | − | 0.842928i | \(-0.319170\pi\) | ||||
0.538026 | + | 0.842928i | \(0.319170\pi\) | |||||||
\(42\) | 7.12743e9 | − | 3.02579e9i | 0.200361 | − | 0.0850588i | ||||
\(43\) | −5.78165e9 | −0.139478 | −0.0697392 | − | 0.997565i | \(-0.522217\pi\) | ||||
−0.0697392 | + | 0.997565i | \(0.522217\pi\) | |||||||
\(44\) | 4.61563e8 | − | 7.99451e8i | 0.00958935 | − | 0.0166092i | ||||
\(45\) | 1.86916e10 | + | 3.23749e10i | 0.335557 | + | 0.581201i | ||||
\(46\) | −3.14159e10 | − | 5.44139e10i | −0.488904 | − | 0.846806i | ||||
\(47\) | −7.58491e9 | + | 1.31374e10i | −0.102639 | + | 0.177777i | −0.912771 | − | 0.408471i | \(-0.866062\pi\) |
0.810132 | + | 0.586248i | \(0.199395\pi\) | |||||||
\(48\) | −6.52106e9 | −0.0769573 | ||||||||
\(49\) | 6.72985e10 | − | 6.97022e10i | 0.694594 | − | 0.719402i | ||||
\(50\) | 3.51858e10 | 0.318466 | ||||||||
\(51\) | 2.37159e10 | − | 4.10771e10i | 0.188727 | − | 0.326884i | ||||
\(52\) | −5.08777e10 | − | 8.81227e10i | −0.356866 | − | 0.618111i | ||||
\(53\) | −1.96629e10 | − | 3.40572e10i | −0.121858 | − | 0.211065i | 0.798642 | − | 0.601806i | \(-0.205552\pi\) |
−0.920500 | + | 0.390741i | \(0.872219\pi\) | |||||||
\(54\) | 3.77811e10 | − | 6.54388e10i | 0.207355 | − | 0.359150i | ||||
\(55\) | −5.83765e9 | −0.0284368 | ||||||||
\(56\) | −7.51095e10 | + | 3.18861e10i | −0.325441 | + | 0.138159i | ||||
\(57\) | 8.33481e10 | 0.321891 | ||||||||
\(58\) | −7.91512e10 | + | 1.37094e11i | −0.273008 | + | 0.472864i | ||||
\(59\) | −7.22471e10 | − | 1.25136e11i | −0.222989 | − | 0.386228i | 0.732726 | − | 0.680524i | \(-0.238248\pi\) |
−0.955714 | + | 0.294297i | \(0.904915\pi\) | |||||||
\(60\) | 2.06189e10 | + | 3.57129e10i | 0.0570534 | + | 0.0988194i | ||||
\(61\) | −7.88811e10 | + | 1.36626e11i | −0.196033 | + | 0.339539i | −0.947239 | − | 0.320529i | \(-0.896139\pi\) |
0.751206 | + | 0.660068i | \(0.229473\pi\) | |||||||
\(62\) | 3.12491e11 | 0.698702 | ||||||||
\(63\) | 5.47285e10 | − | 4.45893e11i | 0.110281 | − | 0.898498i | ||||
\(64\) | 6.87195e10 | 0.125000 | ||||||||
\(65\) | −3.21739e11 | + | 5.57269e11i | −0.529136 | + | 0.916490i | ||||
\(66\) | 2.80317e9 | + | 4.85523e9i | 0.00417459 | + | 0.00723061i | ||||
\(67\) | 3.83607e11 | + | 6.64427e11i | 0.518084 | + | 0.897348i | 0.999779 | + | 0.0210092i | \(0.00668793\pi\) |
−0.481695 | + | 0.876339i | \(0.659979\pi\) | |||||||
\(68\) | −2.49920e11 | + | 4.32874e11i | −0.306544 | + | 0.530950i | ||||
\(69\) | 3.81590e11 | 0.425675 | ||||||||
\(70\) | 4.12114e11 | + | 3.10521e11i | 0.418678 | + | 0.315467i | ||||
\(71\) | −1.73373e12 | −1.60621 | −0.803106 | − | 0.595836i | \(-0.796821\pi\) | ||||
−0.803106 | + | 0.595836i | \(0.796821\pi\) | |||||||
\(72\) | −1.89169e11 | + | 3.27651e11i | −0.160026 | + | 0.277172i | ||||
\(73\) | −7.94503e11 | − | 1.37612e12i | −0.614464 | − | 1.06428i | −0.990478 | − | 0.137670i | \(-0.956039\pi\) |
0.376014 | − | 0.926614i | \(-0.377295\pi\) | |||||||
\(74\) | 8.64330e11 | + | 1.49706e12i | 0.611890 | + | 1.05982i | ||||
\(75\) | −1.06846e11 | + | 1.85062e11i | −0.0693199 | + | 0.120066i | ||||
\(76\) | −8.78329e11 | −0.522840 | ||||||||
\(77\) | 5.60276e10 | + | 4.22159e10i | 0.0306346 | + | 0.0230827i | ||||
\(78\) | 6.17982e11 | 0.310714 | ||||||||
\(79\) | 1.43158e11 | − | 2.47957e11i | 0.0662581 | − | 0.114762i | −0.830993 | − | 0.556282i | \(-0.812227\pi\) |
0.897251 | + | 0.441520i | \(0.145561\pi\) | |||||||
\(80\) | −2.17283e11 | − | 3.76346e11i | −0.0926705 | − | 0.160510i | ||||
\(81\) | −9.21048e11 | − | 1.59530e12i | −0.362351 | − | 0.627611i | ||||
\(82\) | 1.04732e12 | − | 1.81401e12i | 0.380442 | − | 0.658945i | ||||
\(83\) | −9.41428e10 | −0.0316067 | −0.0158034 | − | 0.999875i | \(-0.505031\pi\) | ||||
−0.0158034 | + | 0.999875i | \(0.505031\pi\) | |||||||
\(84\) | 6.03714e10 | − | 4.91868e11i | 0.0187506 | − | 0.152768i | ||||
\(85\) | 3.16088e12 | 0.909044 | ||||||||
\(86\) | −1.85013e11 | + | 3.20451e11i | −0.0493130 | + | 0.0854127i | ||||
\(87\) | −4.80702e11 | − | 8.32600e11i | −0.118850 | − | 0.205855i | ||||
\(88\) | −2.95401e10 | − | 5.11649e10i | −0.00678069 | − | 0.0117445i | ||||
\(89\) | 1.97510e12 | − | 3.42097e12i | 0.421263 | − | 0.729649i | −0.574800 | − | 0.818294i | \(-0.694920\pi\) |
0.996063 | + | 0.0886446i | \(0.0282535\pi\) | |||||||
\(90\) | 2.39253e12 | 0.474549 | ||||||||
\(91\) | 7.11791e12 | − | 3.02175e12i | 1.31396 | − | 0.557814i | ||||
\(92\) | −4.02123e12 | −0.691414 | ||||||||
\(93\) | −9.48913e11 | + | 1.64357e12i | −0.152085 | + | 0.263419i | ||||
\(94\) | 4.85434e11 | + | 8.40797e11i | 0.0725770 | + | 0.125707i | ||||
\(95\) | 2.77718e12 | + | 4.81022e12i | 0.387615 | + | 0.671369i | ||||
\(96\) | −2.08674e11 | + | 3.61434e11i | −0.0272085 | + | 0.0471266i | ||||
\(97\) | −1.04397e13 | −1.27255 | −0.636273 | − | 0.771464i | \(-0.719525\pi\) | ||||
−0.636273 | + | 0.771464i | \(0.719525\pi\) | |||||||
\(98\) | −1.70973e12 | − | 5.96053e12i | −0.194966 | − | 0.679697i | ||||
\(99\) | 3.25268e11 | 0.0347227 | ||||||||
\(100\) | 1.12595e12 | − | 1.95020e12i | 0.112595 | − | 0.195020i | ||||
\(101\) | 2.77005e12 | + | 4.79786e12i | 0.259656 | + | 0.449737i | 0.966150 | − | 0.257982i | \(-0.0830575\pi\) |
−0.706494 | + | 0.707719i | \(0.749724\pi\) | |||||||
\(102\) | −1.51782e12 | − | 2.62893e12i | −0.133450 | − | 0.231142i | ||||
\(103\) | −3.92001e12 | + | 6.78965e12i | −0.323478 | + | 0.560280i | −0.981203 | − | 0.192978i | \(-0.938186\pi\) |
0.657725 | + | 0.753258i | \(0.271519\pi\) | |||||||
\(104\) | −6.51234e12 | −0.504685 | ||||||||
\(105\) | −2.88463e12 | + | 1.22461e12i | −0.210068 | + | 0.0891796i | ||||
\(106\) | −2.51685e12 | −0.172334 | ||||||||
\(107\) | −1.23014e13 | + | 2.13067e13i | −0.792428 | + | 1.37253i | 0.132031 | + | 0.991246i | \(0.457850\pi\) |
−0.924459 | + | 0.381281i | \(0.875483\pi\) | |||||||
\(108\) | −2.41799e12 | − | 4.18808e12i | −0.146622 | − | 0.253957i | ||||
\(109\) | 7.38013e12 | + | 1.27828e13i | 0.421494 | + | 0.730050i | 0.996086 | − | 0.0883908i | \(-0.0281724\pi\) |
−0.574592 | + | 0.818440i | \(0.694839\pi\) | |||||||
\(110\) | −1.86805e11 | + | 3.23555e11i | −0.0100539 | + | 0.0174139i | ||||
\(111\) | −1.04985e13 | −0.532756 | ||||||||
\(112\) | −6.36199e11 | + | 5.18335e12i | −0.0304562 | + | 0.248138i | ||||
\(113\) | 2.71313e13 | 1.22592 | 0.612958 | − | 0.790116i | \(-0.289980\pi\) | ||||
0.612958 | + | 0.790116i | \(0.289980\pi\) | |||||||
\(114\) | 2.66714e12 | − | 4.61962e12i | 0.113806 | − | 0.197117i | ||||
\(115\) | 1.27147e13 | + | 2.20225e13i | 0.512590 | + | 0.887832i | ||||
\(116\) | 5.06568e12 | + | 8.77401e12i | 0.193046 | + | 0.334365i | ||||
\(117\) | 1.79270e13 | − | 3.10505e13i | 0.646100 | − | 1.11908i | ||||
\(118\) | −9.24763e12 | −0.315353 | ||||||||
\(119\) | −3.03369e13 | − | 2.28584e13i | −0.979301 | − | 0.737887i | ||||
\(120\) | 2.63922e12 | 0.0806857 | ||||||||
\(121\) | 1.72360e13 | − | 2.98536e13i | 0.499264 | − | 0.864751i | ||||
\(122\) | 5.04839e12 | + | 8.74407e12i | 0.138616 | + | 0.240090i | ||||
\(123\) | 6.36058e12 | + | 1.10168e13i | 0.165620 | + | 0.286863i | ||||
\(124\) | 9.99973e12 | − | 1.73200e13i | 0.247029 | − | 0.427866i | ||||
\(125\) | −4.58594e13 | −1.07526 | ||||||||
\(126\) | −2.29626e13 | − | 1.73019e13i | −0.511226 | − | 0.385200i | ||||
\(127\) | 1.57018e13 | 0.332066 | 0.166033 | − | 0.986120i | \(-0.446904\pi\) | ||||
0.166033 | + | 0.986120i | \(0.446904\pi\) | |||||||
\(128\) | 2.19902e12 | − | 3.80882e12i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | −1.12362e12 | − | 1.94617e12i | −0.0214678 | − | 0.0371833i | ||||
\(130\) | 2.05913e13 | + | 3.56652e13i | 0.374156 | + | 0.648057i | ||||
\(131\) | 2.60523e13 | − | 4.51239e13i | 0.450384 | − | 0.780088i | −0.548026 | − | 0.836461i | \(-0.684620\pi\) |
0.998410 | + | 0.0563735i | \(0.0179538\pi\) | |||||||
\(132\) | 3.58806e11 | 0.00590376 | ||||||||
\(133\) | 8.13149e12 | − | 6.62503e13i | 0.127390 | − | 1.03789i | ||||
\(134\) | 4.91017e13 | 0.732682 | ||||||||
\(135\) | −1.52908e13 | + | 2.64845e13i | −0.217401 | + | 0.376550i | ||||
\(136\) | 1.59949e13 | + | 2.77039e13i | 0.216759 | + | 0.375438i | ||||
\(137\) | −8.94650e12 | − | 1.54958e13i | −0.115603 | − | 0.200230i | 0.802418 | − | 0.596763i | \(-0.203547\pi\) |
−0.918021 | + | 0.396532i | \(0.870213\pi\) | |||||||
\(138\) | 1.22109e13 | − | 2.11499e13i | 0.150499 | − | 0.260672i | ||||
\(139\) | −1.18769e14 | −1.39671 | −0.698357 | − | 0.715750i | \(-0.746085\pi\) | ||||
−0.698357 | + | 0.715750i | \(0.746085\pi\) | |||||||
\(140\) | 3.03985e13 | − | 1.29050e13i | 0.341208 | − | 0.144852i | ||||
\(141\) | −5.89629e12 | −0.0631909 | ||||||||
\(142\) | −5.54794e13 | + | 9.60932e13i | −0.567882 | + | 0.983600i | ||||
\(143\) | 2.79942e12 | + | 4.84875e12i | 0.0273769 | + | 0.0474182i | ||||
\(144\) | 1.21068e13 | + | 2.09696e13i | 0.113155 | + | 0.195990i | ||||
\(145\) | 3.20342e13 | − | 5.54849e13i | 0.286235 | − | 0.495773i | ||||
\(146\) | −1.01696e14 | −0.868984 | ||||||||
\(147\) | 3.65415e13 | + | 9.10734e12i | 0.298692 | + | 0.0744438i | ||||
\(148\) | 1.10634e14 | 0.865343 | ||||||||
\(149\) | 3.24664e13 | − | 5.62335e13i | 0.243066 | − | 0.421002i | −0.718520 | − | 0.695506i | \(-0.755180\pi\) |
0.961586 | + | 0.274504i | \(0.0885136\pi\) | |||||||
\(150\) | 6.83811e12 | + | 1.18440e13i | 0.0490166 | + | 0.0848992i | ||||
\(151\) | 1.20776e14 | + | 2.09190e14i | 0.829146 | + | 1.43612i | 0.898709 | + | 0.438545i | \(0.144506\pi\) |
−0.0695638 | + | 0.997578i | \(0.522161\pi\) | |||||||
\(152\) | −2.81065e13 | + | 4.86820e13i | −0.184852 | + | 0.320173i | ||||
\(153\) | −1.76121e14 | −1.10999 | ||||||||
\(154\) | 4.13272e12 | − | 1.75446e12i | 0.0249662 | − | 0.0105988i | ||||
\(155\) | −1.26472e14 | −0.732553 | ||||||||
\(156\) | 1.97754e13 | − | 3.42520e13i | 0.109854 | − | 0.190273i | ||||
\(157\) | 1.63368e14 | + | 2.82962e14i | 0.870602 | + | 1.50793i | 0.861375 | + | 0.507969i | \(0.169604\pi\) |
0.00922666 | + | 0.999957i | \(0.497063\pi\) | |||||||
\(158\) | −9.16210e12 | − | 1.58692e13i | −0.0468515 | − | 0.0811492i | ||||
\(159\) | 7.64269e12 | − | 1.32375e13i | 0.0375116 | − | 0.0649719i | ||||
\(160\) | −2.78123e13 | −0.131056 | ||||||||
\(161\) | 3.72282e13 | − | 3.03312e14i | 0.168463 | − | 1.37253i | ||||
\(162\) | −1.17894e14 | −0.512442 | ||||||||
\(163\) | −2.34683e14 | + | 4.06484e14i | −0.980084 | + | 1.69755i | −0.318062 | + | 0.948070i | \(0.603032\pi\) |
−0.662022 | + | 0.749484i | \(0.730301\pi\) | |||||||
\(164\) | −6.70283e13 | − | 1.16096e14i | −0.269013 | − | 0.465944i | ||||
\(165\) | −1.13450e12 | − | 1.96502e12i | −0.00437684 | − | 0.00758091i | ||||
\(166\) | −3.01257e12 | + | 5.21792e12i | −0.0111747 | + | 0.0193551i | ||||
\(167\) | −1.79618e14 | −0.640755 | −0.320378 | − | 0.947290i | \(-0.603810\pi\) | ||||
−0.320378 | + | 0.947290i | \(0.603810\pi\) | |||||||
\(168\) | −2.53302e13 | − | 1.90859e13i | −0.0869217 | − | 0.0654941i | ||||
\(169\) | 3.14281e14 | 1.03766 | ||||||||
\(170\) | 1.01148e14 | − | 1.75194e14i | 0.321395 | − | 0.556673i | ||||
\(171\) | −1.54742e14 | − | 2.68021e14i | −0.473297 | − | 0.819774i | ||||
\(172\) | 1.18408e13 | + | 2.05089e13i | 0.0348696 | + | 0.0603959i | ||||
\(173\) | 2.91089e14 | − | 5.04181e14i | 0.825517 | − | 1.42984i | −0.0760066 | − | 0.997107i | \(-0.524217\pi\) |
0.901524 | − | 0.432730i | \(-0.142450\pi\) | |||||||
\(174\) | −6.15298e13 | −0.168080 | ||||||||
\(175\) | 1.36675e14 | + | 1.02982e14i | 0.359701 | + | 0.271029i | ||||
\(176\) | −3.78113e12 | −0.00958935 | ||||||||
\(177\) | 2.80814e13 | − | 4.86384e13i | 0.0686424 | − | 0.118892i | ||||
\(178\) | −1.26406e14 | − | 2.18942e14i | −0.297878 | − | 0.515940i | ||||
\(179\) | 4.21250e14 | + | 7.29626e14i | 0.957183 | + | 1.65789i | 0.729291 | + | 0.684204i | \(0.239850\pi\) |
0.227893 | + | 0.973686i | \(0.426816\pi\) | |||||||
\(180\) | 7.65609e13 | − | 1.32607e14i | 0.167778 | − | 0.290601i | ||||
\(181\) | 3.09169e14 | 0.653559 | 0.326779 | − | 0.945101i | \(-0.394037\pi\) | ||||
0.326779 | + | 0.945101i | \(0.394037\pi\) | |||||||
\(182\) | 6.02907e13 | − | 4.91211e14i | 0.122966 | − | 1.00185i | ||||
\(183\) | −6.13199e13 | −0.120689 | ||||||||
\(184\) | −1.28679e14 | + | 2.22879e14i | −0.244452 | + | 0.423403i | ||||
\(185\) | −3.49813e14 | − | 6.05894e14i | −0.641535 | − | 1.11117i | ||||
\(186\) | 6.07304e13 | + | 1.05188e14i | 0.107541 | + | 0.186266i | ||||
\(187\) | 1.37513e13 | − | 2.38179e13i | 0.0235165 | − | 0.0407317i | ||||
\(188\) | 6.21356e13 | 0.102639 | ||||||||
\(189\) | 3.38282e14 | − | 1.43610e14i | 0.539856 | − | 0.229184i | ||||
\(190\) | 3.55479e14 | 0.548171 | ||||||||
\(191\) | −8.69780e13 | + | 1.50650e14i | −0.129626 | + | 0.224519i | −0.923532 | − | 0.383522i | \(-0.874711\pi\) |
0.793906 | + | 0.608041i | \(0.208044\pi\) | |||||||
\(192\) | 1.33551e13 | + | 2.31318e13i | 0.0192393 | + | 0.0333235i | ||||
\(193\) | −2.69358e13 | − | 4.66541e13i | −0.0375152 | − | 0.0649782i | 0.846658 | − | 0.532137i | \(-0.178611\pi\) |
−0.884173 | + | 0.467159i | \(0.845278\pi\) | |||||||
\(194\) | −3.34072e14 | + | 5.78629e14i | −0.449913 | + | 0.779272i | ||||
\(195\) | −2.50111e14 | −0.325767 | ||||||||
\(196\) | −3.85078e14 | − | 9.59739e13i | −0.485159 | − | 0.120917i | ||||
\(197\) | −6.06639e14 | −0.739435 | −0.369717 | − | 0.929144i | \(-0.620545\pi\) | ||||
−0.369717 | + | 0.929144i | \(0.620545\pi\) | |||||||
\(198\) | 1.04086e13 | − | 1.80282e13i | 0.0122763 | − | 0.0212632i | ||||
\(199\) | 5.79250e14 | + | 1.00329e15i | 0.661182 | + | 1.14520i | 0.980305 | + | 0.197488i | \(0.0632783\pi\) |
−0.319123 | + | 0.947713i | \(0.603388\pi\) | |||||||
\(200\) | −7.20606e13 | − | 1.24813e14i | −0.0796165 | − | 0.137900i | ||||
\(201\) | −1.49102e14 | + | 2.58253e14i | −0.159482 | + | 0.276230i | ||||
\(202\) | 3.54566e14 | 0.367209 | ||||||||
\(203\) | −7.08700e14 | + | 3.00863e14i | −0.710785 | + | 0.301748i | ||||
\(204\) | −1.94280e14 | −0.188727 | ||||||||
\(205\) | −4.23872e14 | + | 7.34168e14i | −0.398873 | + | 0.690869i | ||||
\(206\) | 2.50880e14 | + | 4.34538e14i | 0.228734 | + | 0.396178i | ||||
\(207\) | −7.08451e14 | − | 1.22707e15i | −0.625897 | − | 1.08408i | ||||
\(208\) | −2.08395e14 | + | 3.60951e14i | −0.178433 | + | 0.309055i | ||||
\(209\) | 4.83280e13 | 0.0401096 | ||||||||
\(210\) | −2.44336e13 | + | 1.99070e14i | −0.0196590 | + | 0.160170i | ||||
\(211\) | −3.58373e14 | −0.279576 | −0.139788 | − | 0.990181i | \(-0.544642\pi\) | ||||
−0.139788 | + | 0.990181i | \(0.544642\pi\) | |||||||
\(212\) | −8.05394e13 | + | 1.39498e14i | −0.0609291 | + | 0.105532i | ||||
\(213\) | −3.36938e14 | − | 5.83594e14i | −0.247220 | − | 0.428197i | ||||
\(214\) | 7.87290e14 | + | 1.36363e15i | 0.560332 | + | 0.970523i | ||||
\(215\) | 7.48787e13 | − | 1.29694e14i | 0.0517021 | − | 0.0895507i | ||||
\(216\) | −3.09503e14 | −0.207355 | ||||||||
\(217\) | 1.21383e15 | + | 9.14603e14i | 0.789170 | + | 0.594627i | ||||
\(218\) | 9.44656e14 | 0.596083 | ||||||||
\(219\) | 3.08812e14 | − | 5.34877e14i | 0.189150 | − | 0.327618i | ||||
\(220\) | 1.19555e13 | + | 2.07076e13i | 0.00710920 | + | 0.0123135i | ||||
\(221\) | −1.51579e15 | − | 2.62542e15i | −0.875162 | − | 1.51583i | ||||
\(222\) | −3.35952e14 | + | 5.81887e14i | −0.188358 | + | 0.326245i | ||||
\(223\) | 6.64312e14 | 0.361735 | 0.180868 | − | 0.983507i | \(-0.442109\pi\) | ||||
0.180868 | + | 0.983507i | \(0.442109\pi\) | |||||||
\(224\) | 2.66932e14 | + | 2.01129e14i | 0.141185 | + | 0.106381i | ||||
\(225\) | 7.93467e14 | 0.407701 | ||||||||
\(226\) | 8.68201e14 | − | 1.50377e15i | 0.433427 | − | 0.750717i | ||||
\(227\) | 7.05542e14 | + | 1.22204e15i | 0.342259 | + | 0.592810i | 0.984852 | − | 0.173398i | \(-0.0554746\pi\) |
−0.642593 | + | 0.766208i | \(0.722141\pi\) | |||||||
\(228\) | −1.70697e14 | − | 2.95656e14i | −0.0804728 | − | 0.139383i | ||||
\(229\) | 6.36302e14 | − | 1.10211e15i | 0.291563 | − | 0.505002i | −0.682616 | − | 0.730777i | \(-0.739158\pi\) |
0.974180 | + | 0.225775i | \(0.0724914\pi\) | |||||||
\(230\) | 1.62748e15 | 0.724912 | ||||||||
\(231\) | −3.32179e12 | + | 2.70639e13i | −0.00143845 | + | 0.0117196i | ||||
\(232\) | 6.48406e14 | 0.273008 | ||||||||
\(233\) | 7.23704e14 | − | 1.25349e15i | 0.296311 | − | 0.513226i | −0.678978 | − | 0.734159i | \(-0.737577\pi\) |
0.975289 | + | 0.220933i | \(0.0709102\pi\) | |||||||
\(234\) | −1.14733e15 | − | 1.98723e15i | −0.456862 | − | 0.791308i | ||||
\(235\) | −1.96466e14 | − | 3.40289e14i | −0.0760932 | − | 0.131797i | ||||
\(236\) | −2.95924e14 | + | 5.12556e14i | −0.111494 | + | 0.193114i | ||||
\(237\) | 1.11287e14 | 0.0407924 | ||||||||
\(238\) | −2.23772e15 | + | 9.49975e14i | −0.798097 | + | 0.338814i | ||||
\(239\) | −5.51666e15 | −1.91465 | −0.957326 | − | 0.289009i | \(-0.906674\pi\) | ||||
−0.957326 | + | 0.289009i | \(0.906674\pi\) | |||||||
\(240\) | 8.44549e13 | − | 1.46280e14i | 0.0285267 | − | 0.0494097i | ||||
\(241\) | 1.09772e15 | + | 1.90131e15i | 0.360896 | + | 0.625090i | 0.988109 | − | 0.153758i | \(-0.0491377\pi\) |
−0.627213 | + | 0.778848i | \(0.715804\pi\) | |||||||
\(242\) | −1.10310e15 | − | 1.91063e15i | −0.353033 | − | 0.611471i | ||||
\(243\) | 1.29917e15 | − | 2.25024e15i | 0.404787 | − | 0.701112i | ||||
\(244\) | 6.46194e14 | 0.196033 | ||||||||
\(245\) | 6.91967e14 | + | 2.41236e15i | 0.204412 | + | 0.712627i | ||||
\(246\) | 8.14154e14 | 0.234222 | ||||||||
\(247\) | 2.66357e15 | − | 4.61345e15i | 0.746337 | − | 1.29269i | ||||
\(248\) | −6.39982e14 | − | 1.10848e15i | −0.174676 | − | 0.302547i | ||||
\(249\) | −1.82960e13 | − | 3.16895e13i | −0.00486474 | − | 0.00842598i | ||||
\(250\) | −1.46750e15 | + | 2.54179e15i | −0.380162 | + | 0.658459i | ||||
\(251\) | 3.18963e15 | 0.805120 | 0.402560 | − | 0.915394i | \(-0.368120\pi\) | ||||
0.402560 | + | 0.915394i | \(0.368120\pi\) | |||||||
\(252\) | −1.69377e15 | + | 7.19054e14i | −0.416631 | + | 0.176872i | ||||
\(253\) | 2.21259e14 | 0.0530417 | ||||||||
\(254\) | 5.02457e14 | − | 8.70282e14i | 0.117403 | − | 0.203348i | ||||
\(255\) | 6.14294e14 | + | 1.06399e15i | 0.139915 | + | 0.242340i | ||||
\(256\) | −1.40737e14 | − | 2.43764e14i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −3.76162e15 | + | 6.51531e15i | −0.814346 | + | 1.41049i | 0.0954497 | + | 0.995434i | \(0.469571\pi\) |
−0.909796 | + | 0.415055i | \(0.863762\pi\) | |||||||
\(258\) | −1.43824e14 | −0.0303600 | ||||||||
\(259\) | −1.02424e15 | + | 8.34488e15i | −0.210840 | + | 1.71780i | ||||
\(260\) | 2.63569e15 | 0.529136 | ||||||||
\(261\) | −1.78492e15 | + | 3.09157e15i | −0.349506 | + | 0.605362i | ||||
\(262\) | −1.66735e15 | − | 2.88793e15i | −0.318470 | − | 0.551605i | ||||
\(263\) | −1.10895e15 | − | 1.92076e15i | −0.206633 | − | 0.357899i | 0.744019 | − | 0.668159i | \(-0.232917\pi\) |
−0.950652 | + | 0.310260i | \(0.899584\pi\) | |||||||
\(264\) | 1.14818e13 | − | 1.98870e13i | 0.00208730 | − | 0.00361530i | ||||
\(265\) | 1.01863e15 | 0.180683 | ||||||||
\(266\) | −3.41176e15 | − | 2.57070e15i | −0.590537 | − | 0.444960i | ||||
\(267\) | 1.53538e15 | 0.259354 | ||||||||
\(268\) | 1.57125e15 | − | 2.72149e15i | 0.259042 | − | 0.448674i | ||||
\(269\) | 3.94084e15 | + | 6.82573e15i | 0.634160 | + | 1.09840i | 0.986693 | + | 0.162597i | \(0.0519871\pi\) |
−0.352533 | + | 0.935799i | \(0.614680\pi\) | |||||||
\(270\) | 9.78613e14 | + | 1.69501e15i | 0.153726 | + | 0.266261i | ||||
\(271\) | 9.76507e13 | − | 1.69136e14i | 0.0149753 | − | 0.0259379i | −0.858441 | − | 0.512913i | \(-0.828566\pi\) |
0.873416 | + | 0.486975i | \(0.161900\pi\) | |||||||
\(272\) | 2.04734e15 | 0.306544 | ||||||||
\(273\) | 2.40047e15 | + | 1.80871e15i | 0.350945 | + | 0.264431i | ||||
\(274\) | −1.14515e15 | −0.163488 | ||||||||
\(275\) | −6.19526e13 | + | 1.07305e14i | −0.00863768 | + | 0.0149609i | ||||
\(276\) | −7.81497e14 | − | 1.35359e15i | −0.106419 | − | 0.184323i | ||||
\(277\) | −5.24565e15 | − | 9.08573e15i | −0.697719 | − | 1.20849i | −0.969255 | − | 0.246057i | \(-0.920865\pi\) |
0.271536 | − | 0.962428i | \(-0.412468\pi\) | |||||||
\(278\) | −3.80061e15 | + | 6.58286e15i | −0.493813 | + | 0.855309i | ||||
\(279\) | 7.04691e15 | 0.894482 | ||||||||
\(280\) | 2.57484e14 | − | 2.09781e15i | 0.0319317 | − | 0.260160i | ||||
\(281\) | −1.40373e16 | −1.70095 | −0.850475 | − | 0.526016i | \(-0.823685\pi\) | ||||
−0.850475 | + | 0.526016i | \(0.823685\pi\) | |||||||
\(282\) | −1.88681e14 | + | 3.26805e14i | −0.0223413 | + | 0.0386963i | ||||
\(283\) | −5.71309e15 | − | 9.89535e15i | −0.661087 | − | 1.14504i | −0.980330 | − | 0.197364i | \(-0.936762\pi\) |
0.319243 | − | 0.947673i | \(-0.396571\pi\) | |||||||
\(284\) | 3.55068e15 | + | 6.14997e15i | 0.401553 | + | 0.695510i | ||||
\(285\) | −1.07945e15 | + | 1.86966e15i | −0.119319 | + | 0.206667i | ||||
\(286\) | 3.58326e14 | 0.0387168 | ||||||||
\(287\) | 9.37742e15 | − | 3.98098e15i | 0.990492 | − | 0.420491i | ||||
\(288\) | 1.54967e15 | 0.160026 | ||||||||
\(289\) | −2.49352e15 | + | 4.31891e15i | −0.251754 | + | 0.436051i | ||||
\(290\) | −2.05019e15 | − | 3.55103e15i | −0.202398 | − | 0.350564i | ||||
\(291\) | −2.02889e15 | − | 3.51414e15i | −0.195864 | − | 0.339246i | ||||
\(292\) | −3.25428e15 | + | 5.63658e15i | −0.307232 | + | 0.532142i | ||||
\(293\) | 5.81181e15 | 0.536626 | 0.268313 | − | 0.963332i | \(-0.413534\pi\) | ||||
0.268313 | + | 0.963332i | \(0.413534\pi\) | |||||||
\(294\) | 1.67411e15 | − | 1.73390e15i | 0.151191 | − | 0.156591i | ||||
\(295\) | 3.74272e15 | 0.330632 | ||||||||
\(296\) | 3.54030e15 | − | 6.13197e15i | 0.305945 | − | 0.529912i | ||||
\(297\) | 1.33044e14 | + | 2.30439e14i | 0.0112481 | + | 0.0194823i | ||||
\(298\) | −2.07785e15 | − | 3.59895e15i | −0.171874 | − | 0.297694i | ||||
\(299\) | 1.21946e16 | − | 2.11216e16i | 0.986970 | − | 1.70948i | ||||
\(300\) | 8.75278e14 | 0.0693199 | ||||||||
\(301\) | −1.65656e15 | + | 7.03255e14i | −0.128388 | + | 0.0545043i | ||||
\(302\) | 1.54593e16 | 1.17259 | ||||||||
\(303\) | −1.07668e15 | + | 1.86486e15i | −0.0799297 | + | 0.138442i | ||||
\(304\) | 1.79882e15 | + | 3.11565e15i | 0.130710 | + | 0.226397i | ||||
\(305\) | −2.04320e15 | − | 3.53892e15i | −0.145332 | − | 0.251722i | ||||
\(306\) | −5.63588e15 | + | 9.76163e15i | −0.392439 | + | 0.679724i | ||||
\(307\) | −9.05812e15 | −0.617503 | −0.308751 | − | 0.951143i | \(-0.599911\pi\) | ||||
−0.308751 | + | 0.951143i | \(0.599911\pi\) | |||||||
\(308\) | 3.50053e13 | − | 2.85201e14i | 0.00233644 | − | 0.0190358i | ||||
\(309\) | −3.04730e15 | −0.199152 | ||||||||
\(310\) | −4.04711e15 | + | 7.00980e15i | −0.258996 | + | 0.448595i | ||||
\(311\) | −3.47766e15 | − | 6.02349e15i | −0.217944 | − | 0.377490i | 0.736235 | − | 0.676726i | \(-0.236602\pi\) |
−0.954179 | + | 0.299236i | \(0.903268\pi\) | |||||||
\(312\) | −1.26563e15 | − | 2.19213e15i | −0.0776785 | − | 0.134543i | ||||
\(313\) | 1.14376e16 | − | 1.98105e16i | 0.687537 | − | 1.19085i | −0.285095 | − | 0.958499i | \(-0.592025\pi\) |
0.972632 | − | 0.232350i | \(-0.0746416\pi\) | |||||||
\(314\) | 2.09111e16 | 1.23122 | ||||||||
\(315\) | 9.29347e15 | + | 7.00248e15i | 0.535993 | + | 0.403862i | ||||
\(316\) | −1.17275e15 | −0.0662581 | ||||||||
\(317\) | −8.77585e15 | + | 1.52002e16i | −0.485740 | + | 0.841327i | −0.999866 | − | 0.0163884i | \(-0.994783\pi\) |
0.514126 | + | 0.857715i | \(0.328117\pi\) | |||||||
\(318\) | −4.89132e14 | − | 8.47202e14i | −0.0265247 | − | 0.0459421i | ||||
\(319\) | −2.78727e14 | − | 4.82769e14i | −0.0148095 | − | 0.0256507i | ||||
\(320\) | −8.89993e14 | + | 1.54151e15i | −0.0463353 | + | 0.0802550i | ||||
\(321\) | −9.56275e15 | −0.487865 | ||||||||
\(322\) | −1.56200e16 | − | 1.17694e16i | −0.780938 | − | 0.588424i | ||||
\(323\) | −2.61679e16 | −1.28219 | ||||||||
\(324\) | −3.77261e15 | + | 6.53436e15i | −0.181176 | + | 0.313805i | ||||
\(325\) | 6.82897e15 | + | 1.18281e16i | 0.321450 | + | 0.556768i | ||||
\(326\) | 1.50197e16 | + | 2.60150e16i | 0.693024 | + | 1.20035i | ||||
\(327\) | −2.86855e15 | + | 4.96847e15i | −0.129748 | + | 0.224731i | ||||
\(328\) | −8.57962e15 | −0.380442 | ||||||||
\(329\) | −5.75245e14 | + | 4.68674e15i | −0.0250081 | + | 0.203750i | ||||
\(330\) | −1.45217e14 | −0.00618979 | ||||||||
\(331\) | −1.97594e15 | + | 3.42244e15i | −0.0825834 | + | 0.143039i | −0.904359 | − | 0.426773i | \(-0.859650\pi\) |
0.821775 | + | 0.569811i | \(0.192984\pi\) | |||||||
\(332\) | 1.92804e14 | + | 3.33947e14i | 0.00790168 | + | 0.0136861i | ||||
\(333\) | 1.94913e16 | + | 3.37599e16i | 0.783344 | + | 1.35679i | ||||
\(334\) | −5.74777e15 | + | 9.95543e15i | −0.226541 | + | 0.392381i | ||||
\(335\) | −1.98725e16 | −0.768178 | ||||||||
\(336\) | −1.86841e15 | + | 7.93194e14i | −0.0708383 | + | 0.0300728i | ||||
\(337\) | −1.01379e16 | −0.377012 | −0.188506 | − | 0.982072i | \(-0.560364\pi\) | ||||
−0.188506 | + | 0.982072i | \(0.560364\pi\) | |||||||
\(338\) | 1.00570e16 | − | 1.74192e16i | 0.366867 | − | 0.635433i | ||||
\(339\) | 5.27277e15 | + | 9.13270e15i | 0.188686 | + | 0.326814i | ||||
\(340\) | −6.47348e15 | − | 1.12124e16i | −0.227261 | − | 0.393627i | ||||
\(341\) | −5.50211e14 | + | 9.52994e14i | −0.0189507 | + | 0.0328236i | ||||
\(342\) | −1.98070e16 | −0.669342 | ||||||||
\(343\) | 1.08041e16 | − | 2.81570e16i | 0.358242 | − | 0.933629i | ||||
\(344\) | 1.51562e15 | 0.0493130 | ||||||||
\(345\) | −4.94202e15 | + | 8.55982e15i | −0.157790 | + | 0.273301i | ||||
\(346\) | −1.86297e16 | − | 3.22676e16i | −0.583729 | − | 1.01105i | ||||
\(347\) | 1.15207e16 | + | 1.99545e16i | 0.354274 | + | 0.613620i | 0.986993 | − | 0.160761i | \(-0.0513947\pi\) |
−0.632720 | + | 0.774381i | \(0.718061\pi\) | |||||||
\(348\) | −1.96895e15 | + | 3.41033e15i | −0.0594252 | + | 0.102927i | ||||
\(349\) | −2.15793e16 | −0.639252 | −0.319626 | − | 0.947544i | \(-0.603557\pi\) | ||||
−0.319626 | + | 0.947544i | \(0.603557\pi\) | |||||||
\(350\) | 1.00815e16 | − | 4.27986e15i | 0.293144 | − | 0.124448i | ||||
\(351\) | 2.93307e16 | 0.837193 | ||||||||
\(352\) | −1.20996e14 | + | 2.09571e14i | −0.00339035 | + | 0.00587225i | ||||
\(353\) | 9.54952e15 | + | 1.65402e16i | 0.262691 | + | 0.454995i | 0.966956 | − | 0.254943i | \(-0.0820566\pi\) |
−0.704265 | + | 0.709937i | \(0.748723\pi\) | |||||||
\(354\) | −1.79721e15 | − | 3.11286e15i | −0.0485375 | − | 0.0840695i | ||||
\(355\) | 2.24537e16 | − | 3.88910e16i | 0.595394 | − | 1.03125i | ||||
\(356\) | −1.61800e16 | −0.421263 | ||||||||
\(357\) | 1.79863e15 | − | 1.46541e16i | 0.0459831 | − | 0.374642i | ||||
\(358\) | 5.39200e16 | 1.35366 | ||||||||
\(359\) | −7.27465e15 | + | 1.26001e16i | −0.179349 | + | 0.310641i | −0.941658 | − | 0.336572i | \(-0.890732\pi\) |
0.762309 | + | 0.647213i | \(0.224066\pi\) | |||||||
\(360\) | −4.89990e15 | − | 8.48688e15i | −0.118637 | − | 0.205486i | ||||
\(361\) | −1.96489e15 | − | 3.40329e15i | −0.0467241 | − | 0.0809285i | ||||
\(362\) | 9.89340e15 | − | 1.71359e16i | 0.231068 | − | 0.400221i | ||||
\(363\) | 1.33987e16 | 0.307376 | ||||||||
\(364\) | −2.52964e16 | − | 1.90604e16i | −0.570032 | − | 0.429509i | ||||
\(365\) | 4.11587e16 | 0.911084 | ||||||||
\(366\) | −1.96224e15 | + | 3.39869e15i | −0.0426702 | + | 0.0739069i | ||||
\(367\) | 3.08436e16 | + | 5.34227e16i | 0.658925 | + | 1.14129i | 0.980894 | + | 0.194541i | \(0.0623218\pi\) |
−0.321969 | + | 0.946750i | \(0.604345\pi\) | |||||||
\(368\) | 8.23548e15 | + | 1.42643e16i | 0.172854 | + | 0.299391i | ||||
\(369\) | 2.36178e16 | − | 4.09072e16i | 0.487043 | − | 0.843584i | ||||
\(370\) | −4.47761e16 | −0.907267 | ||||||||
\(371\) | −9.77640e15 | − | 7.36635e15i | −0.194647 | − | 0.146664i | ||||
\(372\) | 7.77349e15 | 0.152085 | ||||||||
\(373\) | 3.79362e16 | − | 6.57074e16i | 0.729367 | − | 1.26330i | −0.227784 | − | 0.973712i | \(-0.573148\pi\) |
0.957151 | − | 0.289589i | \(-0.0935185\pi\) | |||||||
\(374\) | −8.80080e14 | − | 1.52434e15i | −0.0166286 | − | 0.0288017i | ||||
\(375\) | −8.91244e15 | − | 1.54368e16i | −0.165498 | − | 0.286651i | ||||
\(376\) | 1.98834e15 | − | 3.44390e15i | 0.0362885 | − | 0.0628536i | ||||
\(377\) | −6.14476e16 | −1.10227 | ||||||||
\(378\) | 2.86535e15 | − | 2.33450e16i | 0.0505220 | − | 0.411622i | ||||
\(379\) | −2.97831e16 | −0.516196 | −0.258098 | − | 0.966119i | \(-0.583096\pi\) | ||||
−0.258098 | + | 0.966119i | \(0.583096\pi\) | |||||||
\(380\) | 1.13753e16 | − | 1.97027e16i | 0.193808 | − | 0.335685i | ||||
\(381\) | 3.05153e15 | + | 5.28540e15i | 0.0511099 | + | 0.0885250i | ||||
\(382\) | 5.56659e15 | + | 9.64162e15i | 0.0916595 | + | 0.158759i | ||||
\(383\) | −4.06344e16 | + | 7.03808e16i | −0.657812 | + | 1.13936i | 0.323369 | + | 0.946273i | \(0.395185\pi\) |
−0.981181 | + | 0.193091i | \(0.938149\pi\) | |||||||
\(384\) | 1.70946e15 | 0.0272085 | ||||||||
\(385\) | −1.67260e15 | + | 7.10067e14i | −0.0261757 | + | 0.0111123i | ||||
\(386\) | −3.44778e15 | −0.0530545 | ||||||||
\(387\) | −4.17217e15 | + | 7.22641e15i | −0.0631308 | + | 0.109346i | ||||
\(388\) | 2.13806e16 | + | 3.70323e16i | 0.318137 | + | 0.551029i | ||||
\(389\) | −1.32334e16 | − | 2.29209e16i | −0.193642 | − | 0.335397i | 0.752813 | − | 0.658235i | \(-0.228697\pi\) |
−0.946454 | + | 0.322837i | \(0.895363\pi\) | |||||||
\(390\) | −8.00354e15 | + | 1.38625e16i | −0.115176 | + | 0.199491i | ||||
\(391\) | −1.19804e17 | −1.69559 | ||||||||
\(392\) | −1.76419e16 | + | 1.82720e16i | −0.245576 | + | 0.254347i | ||||
\(393\) | 2.02523e16 | 0.277283 | ||||||||
\(394\) | −1.94124e16 | + | 3.36233e16i | −0.261430 | + | 0.452809i | ||||
\(395\) | 3.70810e15 | + | 6.42262e15i | 0.0491214 | + | 0.0850807i | ||||
\(396\) | −6.66150e14 | − | 1.15381e15i | −0.00868067 | − | 0.0150354i | ||||
\(397\) | 4.47312e16 | − | 7.74767e16i | 0.573419 | − | 0.993191i | −0.422792 | − | 0.906227i | \(-0.638950\pi\) |
0.996211 | − | 0.0869642i | \(-0.0277166\pi\) | |||||||
\(398\) | 7.41440e16 | 0.935053 | ||||||||
\(399\) | 2.38809e16 | − | 1.01381e16i | 0.296297 | − | 0.125786i | ||||
\(400\) | −9.22376e15 | −0.112595 | ||||||||
\(401\) | −5.76123e16 | + | 9.97875e16i | −0.691954 | + | 1.19850i | 0.279243 | + | 0.960220i | \(0.409916\pi\) |
−0.971197 | + | 0.238278i | \(0.923417\pi\) | |||||||
\(402\) | 9.54256e15 | + | 1.65282e16i | 0.112770 | + | 0.195324i | ||||
\(403\) | 6.06493e16 | + | 1.05048e17i | 0.705249 | + | 1.22153i | ||||
\(404\) | 1.13461e16 | − | 1.96520e16i | 0.129828 | − | 0.224869i | ||||
\(405\) | 4.77144e16 | 0.537269 | ||||||||
\(406\) | −6.00289e15 | + | 4.89078e16i | −0.0665183 | + | 0.541949i | ||||
\(407\) | −6.08739e15 | −0.0663846 | ||||||||
\(408\) | −6.21698e15 | + | 1.07681e16i | −0.0667249 | + | 0.115571i | ||||
\(409\) | −2.52099e16 | − | 4.36649e16i | −0.266299 | − | 0.461244i | 0.701604 | − | 0.712567i | \(-0.252468\pi\) |
−0.967903 | + | 0.251323i | \(0.919134\pi\) | |||||||
\(410\) | 2.71278e16 | + | 4.69868e16i | 0.282046 | + | 0.488518i | ||||
\(411\) | 3.47737e15 | − | 6.02299e15i | 0.0355860 | − | 0.0616368i | ||||
\(412\) | 3.21127e16 | 0.323478 | ||||||||
\(413\) | −3.59212e16 | − | 2.70661e16i | −0.356185 | − | 0.268380i | ||||
\(414\) | −9.06817e16 | −0.885151 | ||||||||
\(415\) | 1.21925e15 | − | 2.11181e15i | 0.0117161 | − | 0.0202928i | ||||
\(416\) | 1.33373e16 | + | 2.31008e16i | 0.126171 | + | 0.218535i | ||||
\(417\) | −2.30819e16 | − | 3.99791e16i | −0.214975 | − | 0.372347i | ||||
\(418\) | 1.54650e15 | − | 2.67861e15i | 0.0141809 | − | 0.0245620i | ||||
\(419\) | −5.68881e16 | −0.513606 | −0.256803 | − | 0.966464i | \(-0.582669\pi\) | ||||
−0.256803 | + | 0.966464i | \(0.582669\pi\) | |||||||
\(420\) | 1.02517e16 | + | 7.72448e15i | 0.0911329 | + | 0.0686671i | ||||
\(421\) | −2.24518e16 | −0.196525 | −0.0982623 | − | 0.995161i | \(-0.531328\pi\) | ||||
−0.0982623 | + | 0.995161i | \(0.531328\pi\) | |||||||
\(422\) | −1.14679e16 | + | 1.98631e16i | −0.0988450 | + | 0.171205i | ||||
\(423\) | 1.09469e16 | + | 1.89606e16i | 0.0929134 | + | 0.160931i | ||||
\(424\) | 5.15452e15 | + | 8.92789e15i | 0.0430834 | + | 0.0746227i | ||||
\(425\) | 3.35451e16 | − | 5.81018e16i | 0.276122 | − | 0.478257i | ||||
\(426\) | −4.31281e16 | −0.349621 | ||||||||
\(427\) | −5.98241e15 | + | 4.87409e16i | −0.0477634 | + | 0.389146i | ||||
\(428\) | 1.00773e17 | 0.792428 | ||||||||
\(429\) | −1.08810e15 | + | 1.88464e15i | −0.00842742 | + | 0.0145967i | ||||
\(430\) | −4.79224e15 | − | 8.30040e15i | −0.0365589 | − | 0.0633219i | ||||
\(431\) | −7.88689e16 | − | 1.36605e17i | −0.592657 | − | 1.02651i | −0.993873 | − | 0.110529i | \(-0.964746\pi\) |
0.401216 | − | 0.915984i | \(-0.368588\pi\) | |||||||
\(432\) | −9.90409e15 | + | 1.71544e16i | −0.0733111 | + | 0.126979i | ||||
\(433\) | 2.52696e17 | 1.84258 | 0.921291 | − | 0.388873i | \(-0.127136\pi\) | ||||
0.921291 | + | 0.388873i | \(0.127136\pi\) | |||||||
\(434\) | 8.95351e16 | − | 3.80101e16i | 0.643147 | − | 0.273034i | ||||
\(435\) | 2.49025e16 | 0.176223 | ||||||||
\(436\) | 3.02290e16 | − | 5.23582e16i | 0.210747 | − | 0.365025i | ||||
\(437\) | −1.05261e17 | − | 1.82317e17i | −0.722999 | − | 1.25227i | ||||
\(438\) | −1.97639e16 | − | 3.42322e16i | −0.133749 | − | 0.231661i | ||||
\(439\) | −8.38396e16 | + | 1.45214e17i | −0.559023 | + | 0.968256i | 0.438555 | + | 0.898704i | \(0.355490\pi\) |
−0.997578 | + | 0.0695519i | \(0.977843\pi\) | |||||||
\(440\) | 1.53031e15 | 0.0100539 | ||||||||
\(441\) | −3.85557e16 | − | 1.34414e17i | −0.249596 | − | 0.870151i | ||||
\(442\) | −1.94021e17 | −1.23767 | ||||||||
\(443\) | 3.94402e16 | − | 6.83125e16i | 0.247922 | − | 0.429414i | −0.715027 | − | 0.699097i | \(-0.753586\pi\) |
0.962949 | + | 0.269683i | \(0.0869189\pi\) | |||||||
\(444\) | 2.15010e16 | + | 3.72407e16i | 0.133189 | + | 0.230690i | ||||
\(445\) | 5.11594e16 | + | 8.86107e16i | 0.312310 | + | 0.540936i | ||||
\(446\) | 2.12580e16 | − | 3.68199e16i | 0.127893 | − | 0.221517i | ||||
\(447\) | 2.52385e16 | 0.149646 | ||||||||
\(448\) | 1.96895e16 | − | 8.35874e15i | 0.115061 | − | 0.0488466i | ||||
\(449\) | −6.54338e16 | −0.376878 | −0.188439 | − | 0.982085i | \(-0.560343\pi\) | ||||
−0.188439 | + | 0.982085i | \(0.560343\pi\) | |||||||
\(450\) | 2.53909e16 | − | 4.39784e16i | 0.144144 | − | 0.249665i | ||||
\(451\) | 3.68808e15 | + | 6.38793e15i | 0.0206373 | + | 0.0357448i | ||||
\(452\) | −5.55649e16 | − | 9.62412e16i | −0.306479 | − | 0.530837i | ||||
\(453\) | −4.69439e16 | + | 8.13092e16i | −0.255235 | + | 0.442081i | ||||
\(454\) | 9.03094e16 | 0.484028 | ||||||||
\(455\) | −2.44010e16 | + | 1.98804e17i | −0.128924 | + | 1.05039i | ||||
\(456\) | −2.18492e16 | −0.113806 | ||||||||
\(457\) | 4.39399e16 | − | 7.61061e16i | 0.225633 | − | 0.390809i | −0.730876 | − | 0.682510i | \(-0.760888\pi\) |
0.956509 | + | 0.291702i | \(0.0942215\pi\) | |||||||
\(458\) | −4.07233e16 | − | 7.05348e16i | −0.206166 | − | 0.357090i | ||||
\(459\) | −7.20386e16 | − | 1.24775e17i | −0.359570 | − | 0.622793i | ||||
\(460\) | 5.20794e16 | − | 9.02042e16i | 0.256295 | − | 0.443916i | ||||
\(461\) | 2.99092e17 | 1.45127 | 0.725637 | − | 0.688078i | \(-0.241545\pi\) | ||||
0.725637 | + | 0.688078i | \(0.241545\pi\) | |||||||
\(462\) | 1.39373e15 | + | 1.05016e15i | 0.00666818 | + | 0.00502436i | ||||
\(463\) | 3.52626e17 | 1.66356 | 0.831779 | − | 0.555106i | \(-0.187322\pi\) | ||||
0.831779 | + | 0.555106i | \(0.187322\pi\) | |||||||
\(464\) | 2.07490e16 | − | 3.59383e16i | 0.0965229 | − | 0.167183i | ||||
\(465\) | −2.45789e16 | − | 4.25720e16i | −0.112751 | − | 0.195290i | ||||
\(466\) | −4.63171e16 | − | 8.02235e16i | −0.209524 | − | 0.362905i | ||||
\(467\) | −1.40394e17 | + | 2.43169e17i | −0.626308 | + | 1.08480i | 0.361979 | + | 0.932186i | \(0.382101\pi\) |
−0.988286 | + | 0.152610i | \(0.951232\pi\) | |||||||
\(468\) | −1.46858e17 | −0.646100 | ||||||||
\(469\) | 1.90729e17 | + | 1.43711e17i | 0.827549 | + | 0.623544i | ||||
\(470\) | −2.51476e16 | −0.107612 | ||||||||
\(471\) | −6.34988e16 | + | 1.09983e17i | −0.267997 | + | 0.464184i | ||||
\(472\) | 1.89392e16 | + | 3.28036e16i | 0.0788384 | + | 0.136552i | ||||
\(473\) | −6.51513e14 | − | 1.12845e15i | −0.00267501 | − | 0.00463326i | ||||
\(474\) | 3.56117e15 | − | 6.16813e15i | 0.0144223 | − | 0.0249801i | ||||
\(475\) | 1.17892e17 | 0.470953 | ||||||||
\(476\) | −1.89541e16 | + | 1.54426e17i | −0.0746893 | + | 0.608522i | ||||
\(477\) | −5.67569e16 | −0.220622 | ||||||||
\(478\) | −1.76533e17 | + | 3.05764e17i | −0.676932 | + | 1.17248i | ||||
\(479\) | −2.02343e17 | − | 3.50468e17i | −0.765432 | − | 1.32577i | −0.940018 | − | 0.341125i | \(-0.889192\pi\) |
0.174586 | − | 0.984642i | \(-0.444141\pi\) | |||||||
\(480\) | −5.40511e15 | − | 9.36193e15i | −0.0201714 | − | 0.0349379i | ||||
\(481\) | −3.35503e17 | + | 5.81109e17i | −1.23525 | + | 2.13951i | ||||
\(482\) | 1.40509e17 | 0.510384 | ||||||||
\(483\) | 1.09333e17 | − | 4.64150e16i | 0.391829 | − | 0.166342i | ||||
\(484\) | −1.41197e17 | −0.499264 | ||||||||
\(485\) | 1.35206e17 | − | 2.34184e17i | 0.471710 | − | 0.817026i | ||||
\(486\) | −8.31471e16 | − | 1.44015e17i | −0.286228 | − | 0.495761i | ||||
\(487\) | 1.49335e17 | + | 2.58656e17i | 0.507251 | + | 0.878585i | 0.999965 | + | 0.00839348i | \(0.00267176\pi\) |
−0.492713 | + | 0.870192i | \(0.663995\pi\) | |||||||
\(488\) | 2.06782e16 | − | 3.58157e16i | 0.0693081 | − | 0.120045i | ||||
\(489\) | −1.82436e17 | −0.603397 | ||||||||
\(490\) | 1.55849e17 | + | 3.88427e16i | 0.508663 | + | 0.126776i | ||||
\(491\) | −4.17520e17 | −1.34477 | −0.672384 | − | 0.740202i | \(-0.734730\pi\) | ||||
−0.672384 | + | 0.740202i | \(0.734730\pi\) | |||||||
\(492\) | 2.60529e16 | − | 4.51250e16i | 0.0828101 | − | 0.143431i | ||||
\(493\) | 1.50921e17 | + | 2.61402e17i | 0.473417 | + | 0.819982i | ||||
\(494\) | −1.70469e17 | − | 2.95261e17i | −0.527740 | − | 0.914072i | ||||
\(495\) | −4.21259e15 | + | 7.29641e15i | −0.0128711 | + | 0.0222934i | ||||
\(496\) | −8.19178e16 | −0.247029 | ||||||||
\(497\) | −4.96749e17 | + | 2.10884e17i | −1.47850 | + | 0.627663i | ||||
\(498\) | −2.34188e15 | −0.00687978 | ||||||||
\(499\) | 3.65779e16 | − | 6.33548e16i | 0.106063 | − | 0.183707i | −0.808109 | − | 0.589033i | \(-0.799509\pi\) |
0.914172 | + | 0.405326i | \(0.132842\pi\) | |||||||
\(500\) | 9.39200e16 | + | 1.62674e17i | 0.268815 | + | 0.465601i | ||||
\(501\) | −3.49074e16 | − | 6.04614e16i | −0.0986216 | − | 0.170818i | ||||
\(502\) | 1.02068e17 | − | 1.76787e17i | 0.284653 | − | 0.493033i | ||||
\(503\) | 5.96999e17 | 1.64355 | 0.821773 | − | 0.569816i | \(-0.192985\pi\) | ||||
0.821773 | + | 0.569816i | \(0.192985\pi\) | |||||||
\(504\) | −1.43467e16 | + | 1.16888e17i | −0.0389901 | + | 0.317667i | ||||
\(505\) | −1.43501e17 | −0.384999 | ||||||||
\(506\) | 7.08028e15 | − | 1.22634e16i | 0.0187531 | − | 0.0324813i | ||||
\(507\) | 6.10781e16 | + | 1.05790e17i | 0.159711 | + | 0.276627i | ||||
\(508\) | −3.21573e16 | − | 5.56980e16i | −0.0830166 | − | 0.143789i | ||||
\(509\) | 1.17316e17 | − | 2.03198e17i | 0.299015 | − | 0.517909i | −0.676896 | − | 0.736079i | \(-0.736675\pi\) |
0.975911 | + | 0.218170i | \(0.0700087\pi\) | |||||||
\(510\) | 7.86296e16 | 0.197870 | ||||||||
\(511\) | −3.95026e17 | − | 2.97646e17i | −0.981500 | − | 0.739544i | ||||
\(512\) | −1.80144e16 | −0.0441942 | ||||||||
\(513\) | 1.26588e17 | − | 2.19257e17i | 0.306640 | − | 0.531116i | ||||
\(514\) | 2.40743e17 | + | 4.16980e17i | 0.575830 | + | 0.997367i | ||||
\(515\) | −1.01537e17 | − | 1.75867e17i | −0.239815 | − | 0.415372i | ||||
\(516\) | −4.60235e15 | + | 7.97151e15i | −0.0107339 | + | 0.0185916i | ||||
\(517\) | −3.41886e15 | −0.00787396 | ||||||||
\(518\) | 4.29744e17 | + | 3.23805e17i | 0.977387 | + | 0.736445i | ||||
\(519\) | 2.26284e17 | 0.508237 | ||||||||
\(520\) | 8.43420e16 | − | 1.46085e17i | 0.187078 | − | 0.324028i | ||||
\(521\) | −2.71140e16 | − | 4.69628e16i | −0.0593948 | − | 0.102875i | 0.834799 | − | 0.550555i | \(-0.185584\pi\) |
−0.894194 | + | 0.447680i | \(0.852250\pi\) | |||||||
\(522\) | 1.14235e17 | + | 1.97860e17i | 0.247138 | + | 0.428056i | ||||
\(523\) | 3.30981e17 | − | 5.73277e17i | 0.707201 | − | 1.22491i | −0.258691 | − | 0.965960i | \(-0.583291\pi\) |
0.965891 | − | 0.258947i | \(-0.0833757\pi\) | |||||||
\(524\) | −2.13421e17 | −0.450384 | ||||||||
\(525\) | −8.10325e15 | + | 6.60202e16i | −0.0168898 | + | 0.137607i | ||||
\(526\) | −1.41946e17 | −0.292223 | ||||||||
\(527\) | 2.97920e17 | − | 5.16012e17i | 0.605801 | − | 1.04928i | ||||
\(528\) | −7.34835e14 | − | 1.27277e15i | −0.00147594 | − | 0.00255641i | ||||
\(529\) | −2.29895e17 | − | 3.98189e17i | −0.456107 | − | 0.790001i | ||||
\(530\) | 3.25960e16 | − | 5.64580e16i | 0.0638810 | − | 0.110645i | ||||
\(531\) | −2.08541e17 | −0.403717 | ||||||||
\(532\) | −2.51659e17 | + | 1.06836e17i | −0.481268 | + | 0.204312i | ||||
\(533\) | 8.13066e17 | 1.53603 | ||||||||
\(534\) | 4.91323e16 | − | 8.50996e16i | 0.0916956 | − | 0.158821i | ||||
\(535\) | −3.18633e17 | − | 5.51889e17i | −0.587478 | − | 1.01754i | ||||
\(536\) | −1.00560e17 | − | 1.74176e17i | −0.183170 | − | 0.317260i | ||||
\(537\) | −1.63734e17 | + | 2.83595e17i | −0.294649 | + | 0.510347i | ||||
\(538\) | 5.04427e17 | 0.896837 | ||||||||
\(539\) | 2.11880e16 | + | 5.28074e15i | 0.0372188 | + | 0.00927615i | ||||
\(540\) | 1.25263e17 | 0.217401 | ||||||||
\(541\) | −1.59893e17 | + | 2.76943e17i | −0.274187 | + | 0.474906i | −0.969930 | − | 0.243385i | \(-0.921742\pi\) |
0.695743 | + | 0.718291i | \(0.255075\pi\) | |||||||
\(542\) | −6.24964e15 | − | 1.08247e16i | −0.0105891 | − | 0.0183409i | ||||
\(543\) | 6.00847e16 | + | 1.04070e17i | 0.100592 | + | 0.174231i | ||||
\(544\) | 6.55150e16 | − | 1.13475e17i | 0.108380 | − | 0.187719i | ||||
\(545\) | −3.82323e17 | −0.624962 | ||||||||
\(546\) | 1.77064e17 | − | 7.51687e16i | 0.286008 | − | 0.121418i | ||||
\(547\) | −2.07693e17 | −0.331516 | −0.165758 | − | 0.986166i | \(-0.553007\pi\) | ||||
−0.165758 | + | 0.986166i | \(0.553007\pi\) | |||||||
\(548\) | −3.66449e16 | + | 6.34708e16i | −0.0578016 | + | 0.100115i | ||||
\(549\) | 1.13845e17 | + | 1.97185e17i | 0.177457 | + | 0.307365i | ||||
\(550\) | 3.96497e15 | + | 6.86752e15i | 0.00610776 | + | 0.0105790i | ||||
\(551\) | −2.65201e17 | + | 4.59341e17i | −0.403729 | + | 0.699279i | ||||
\(552\) | −1.00032e17 | −0.150499 | ||||||||
\(553\) | 1.08572e16 | − | 8.84576e16i | 0.0161437 | − | 0.131529i | ||||
\(554\) | −6.71443e17 | −0.986724 | ||||||||
\(555\) | 1.35967e17 | − | 2.35502e17i | 0.197483 | − | 0.342051i | ||||
\(556\) | 2.43239e17 | + | 4.21303e17i | 0.349179 | + | 0.604795i | ||||
\(557\) | −1.32608e16 | − | 2.29684e16i | −0.0188153 | − | 0.0325891i | 0.856464 | − | 0.516206i | \(-0.172656\pi\) |
−0.875280 | + | 0.483617i | \(0.839323\pi\) | |||||||
\(558\) | 2.25501e17 | − | 3.90579e17i | 0.316247 | − | 0.547756i | ||||
\(559\) | −1.43631e17 | −0.199100 | ||||||||
\(560\) | −1.08033e17 | − | 8.14012e16i | −0.148025 | − | 0.111534i | ||||
\(561\) | 1.06898e16 | 0.0144781 | ||||||||
\(562\) | −4.49192e17 | + | 7.78024e17i | −0.601376 | + | 1.04161i | ||||
\(563\) | 3.87544e17 | + | 6.71246e17i | 0.512881 | + | 0.888335i | 0.999888 | + | 0.0149376i | \(0.00475495\pi\) |
−0.487008 | + | 0.873398i | \(0.661912\pi\) | |||||||
\(564\) | 1.20756e16 | + | 2.09155e16i | 0.0157977 | + | 0.0273624i | ||||
\(565\) | −3.51380e17 | + | 6.08608e17i | −0.454425 | + | 0.787087i | ||||
\(566\) | −7.31275e17 | −0.934919 | ||||||||
\(567\) | −4.57945e17 | − | 3.45054e17i | −0.578793 | − | 0.436111i | ||||
\(568\) | 4.54488e17 | 0.567882 | ||||||||
\(569\) | −5.16647e17 | + | 8.94859e17i | −0.638211 | + | 1.10541i | 0.347614 | + | 0.937638i | \(0.386992\pi\) |
−0.985825 | + | 0.167776i | \(0.946341\pi\) | |||||||
\(570\) | 6.90848e16 | + | 1.19658e17i | 0.0843715 | + | 0.146136i | ||||
\(571\) | 2.35960e17 | + | 4.08694e17i | 0.284907 | + | 0.493473i | 0.972587 | − | 0.232541i | \(-0.0747040\pi\) |
−0.687680 | + | 0.726014i | \(0.741371\pi\) | |||||||
\(572\) | 1.14664e16 | − | 1.98605e16i | 0.0136885 | − | 0.0237091i | ||||
\(573\) | −6.76141e16 | −0.0798054 | ||||||||
\(574\) | 7.94294e16 | − | 6.47141e17i | 0.0926945 | − | 0.755216i | ||||
\(575\) | 5.39743e17 | 0.622797 | ||||||||
\(576\) | 4.95896e16 | − | 8.58917e16i | 0.0565776 | − | 0.0979952i | ||||
\(577\) | −3.32739e17 | − | 5.76321e17i | −0.375371 | − | 0.650162i | 0.615011 | − | 0.788518i | \(-0.289151\pi\) |
−0.990382 | + | 0.138357i | \(0.955818\pi\) | |||||||
\(578\) | 1.59585e17 | + | 2.76410e17i | 0.178017 | + | 0.308335i | ||||
\(579\) | 1.04695e16 | − | 1.81338e16i | 0.0115483 | − | 0.0200022i | ||||
\(580\) | −2.62424e17 | −0.286235 | ||||||||
\(581\) | −2.69738e16 | + | 1.14511e16i | −0.0290936 | + | 0.0123510i | ||||
\(582\) | −2.59698e17 | −0.276993 | ||||||||
\(583\) | 4.43149e15 | − | 7.67556e15i | 0.00467416 | − | 0.00809589i | ||||
\(584\) | 2.08274e17 | + | 3.60741e17i | 0.217246 | + | 0.376281i | ||||
\(585\) | 4.64349e17 | + | 8.04276e17i | 0.478996 | + | 0.829645i | ||||
\(586\) | 1.85978e17 | − | 3.22123e17i | 0.189726 | − | 0.328615i | ||||
\(587\) | 5.98028e16 | 0.0603356 | 0.0301678 | − | 0.999545i | \(-0.490396\pi\) | ||||
0.0301678 | + | 0.999545i | \(0.490396\pi\) | |||||||
\(588\) | −4.25311e16 | − | 1.48273e17i | −0.0424379 | − | 0.147948i | ||||
\(589\) | 1.04702e18 | 1.03325 | ||||||||
\(590\) | 1.19767e17 | − | 2.07443e17i | 0.116896 | − | 0.202470i | ||||
\(591\) | −1.17896e17 | − | 2.04202e17i | −0.113810 | − | 0.197124i | ||||
\(592\) | −2.26579e17 | − | 3.92446e17i | −0.216336 | − | 0.374705i | ||||
\(593\) | −6.47189e16 | + | 1.12096e17i | −0.0611189 | + | 0.105861i | −0.894966 | − | 0.446135i | \(-0.852800\pi\) |
0.833847 | + | 0.551996i | \(0.186134\pi\) | |||||||
\(594\) | 1.70297e16 | 0.0159072 | ||||||||
\(595\) | 9.05655e17 | − | 3.84476e17i | 0.836763 | − | 0.355229i | ||||
\(596\) | −2.65965e17 | −0.243066 | ||||||||
\(597\) | −2.25146e17 | + | 3.89964e17i | −0.203531 | + | 0.352527i | ||||
\(598\) | −7.80453e17 | − | 1.35178e18i | −0.697893 | − | 1.20879i | ||||
\(599\) | 5.24410e17 | + | 9.08304e17i | 0.463870 | + | 0.803446i | 0.999150 | − | 0.0412284i | \(-0.0131271\pi\) |
−0.535280 | + | 0.844675i | \(0.679794\pi\) | |||||||
\(600\) | 2.80089e16 | − | 4.85129e16i | 0.0245083 | − | 0.0424496i | ||||
\(601\) | −2.17964e18 | −1.88669 | −0.943346 | − | 0.331811i | \(-0.892340\pi\) | ||||
−0.943346 | + | 0.331811i | \(0.892340\pi\) | |||||||
\(602\) | −1.40315e16 | + | 1.14320e17i | −0.0120151 | + | 0.0978915i | ||||
\(603\) | 1.10728e18 | 0.937982 | ||||||||
\(604\) | 4.94699e17 | − | 8.56844e17i | 0.414573 | − | 0.718061i | ||||
\(605\) | 4.46449e17 | + | 7.73273e17i | 0.370137 | + | 0.641096i | ||||
\(606\) | 6.89073e16 | + | 1.19351e17i | 0.0565188 | + | 0.0978935i | ||||
\(607\) | 1.05380e18 | − | 1.82524e18i | 0.855129 | − | 1.48113i | −0.0213958 | − | 0.999771i | \(-0.506811\pi\) |
0.876525 | − | 0.481356i | \(-0.159856\pi\) | |||||||
\(608\) | 2.30249e17 | 0.184852 | ||||||||
\(609\) | −2.39005e17 | − | 1.80086e17i | −0.189843 | − | 0.143043i | ||||
\(610\) | −2.61529e17 | −0.205530 | ||||||||
\(611\) | −1.88429e17 | + | 3.26369e17i | −0.146514 | + | 0.253770i | ||||
\(612\) | 3.60696e17 | + | 6.24744e17i | 0.277496 | + | 0.480638i | ||||
\(613\) | 4.21652e17 | + | 7.30322e17i | 0.320967 | + | 0.555932i | 0.980688 | − | 0.195579i | \(-0.0626587\pi\) |
−0.659721 | + | 0.751511i | \(0.729325\pi\) | |||||||
\(614\) | −2.89860e17 | + | 5.02052e17i | −0.218320 | + | 0.378142i | ||||
\(615\) | −3.29506e17 | −0.245570 | ||||||||
\(616\) | −1.46873e16 | − | 1.10666e16i | −0.0108310 | − | 0.00816096i | ||||
\(617\) | −1.28326e18 | −0.936399 | −0.468199 | − | 0.883623i | \(-0.655097\pi\) | ||||
−0.468199 | + | 0.883623i | \(0.655097\pi\) | |||||||
\(618\) | −9.75135e16 | + | 1.68898e17i | −0.0704109 | + | 0.121955i | ||||
\(619\) | −6.69778e17 | − | 1.16009e18i | −0.478566 | − | 0.828901i | 0.521132 | − | 0.853476i | \(-0.325510\pi\) |
−0.999698 | + | 0.0245754i | \(0.992177\pi\) | |||||||
\(620\) | 2.59015e17 | + | 4.48627e17i | 0.183138 | + | 0.317205i | ||||
\(621\) | 5.79554e17 | − | 1.00382e18i | 0.405507 | − | 0.702359i | ||||
\(622\) | −4.45141e17 | −0.308219 | ||||||||
\(623\) | 1.49793e17 | − | 1.22042e18i | 0.102641 | − | 0.836251i | ||||
\(624\) | −1.62000e17 | −0.109854 | ||||||||
\(625\) | 2.58371e17 | − | 4.47512e17i | 0.173390 | − | 0.300320i | ||||
\(626\) | −7.32006e17 | − | 1.26787e18i | −0.486162 | − | 0.842058i | ||||
\(627\) | 9.39220e15 | + | 1.62678e16i | 0.00617345 | + | 0.0106927i | ||||
\(628\) | 6.69156e17 | − | 1.15901e18i | 0.435301 | − | 0.753963i | ||||
\(629\) | 3.29610e18 | 2.12213 | ||||||||
\(630\) | 6.85508e17 | − | 2.91017e17i | 0.436816 | − | 0.185441i | ||||
\(631\) | −2.14803e18 | −1.35472 | −0.677360 | − | 0.735652i | \(-0.736876\pi\) | ||||
−0.677360 | + | 0.735652i | \(0.736876\pi\) | |||||||
\(632\) | −3.75279e16 | + | 6.50003e16i | −0.0234258 | + | 0.0405746i | ||||
\(633\) | −6.96472e16 | − | 1.20633e17i | −0.0430308 | − | 0.0745316i | ||||
\(634\) | 5.61654e17 | + | 9.72814e17i | 0.343470 | + | 0.594908i | ||||
\(635\) | −2.03356e17 | + | 3.52222e17i | −0.123091 | + | 0.213200i | ||||
\(636\) | −6.26089e16 | −0.0375116 | ||||||||
\(637\) | 1.67187e18 | − | 1.73158e18i | 0.991509 | − | 1.02692i | ||||
\(638\) | −3.56770e16 | −0.0209437 | ||||||||
\(639\) | −1.25110e18 | + | 2.16697e18i | −0.727005 | + | 1.25921i | ||||
\(640\) | 5.69596e16 | + | 9.86568e16i | 0.0327640 | + | 0.0567489i | ||||
\(641\) | −5.24353e17 | − | 9.08206e17i | −0.298570 | − | 0.517139i | 0.677239 | − | 0.735763i | \(-0.263176\pi\) |
−0.975809 | + | 0.218624i | \(0.929843\pi\) | |||||||
\(642\) | −3.06008e17 | + | 5.30021e17i | −0.172486 | + | 0.298755i | ||||
\(643\) | −2.81734e18 | −1.57205 | −0.786027 | − | 0.618193i | \(-0.787865\pi\) | ||||
−0.786027 | + | 0.618193i | \(0.787865\pi\) | |||||||
\(644\) | −1.15216e18 | + | 4.89126e17i | −0.636438 | + | 0.270186i | ||||
\(645\) | 5.82085e16 | 0.0318309 | ||||||||
\(646\) | −8.37372e17 | + | 1.45037e18i | −0.453322 | + | 0.785177i | ||||
\(647\) | 6.43484e17 | + | 1.11455e18i | 0.344874 | + | 0.597339i | 0.985331 | − | 0.170655i | \(-0.0545884\pi\) |
−0.640457 | + | 0.767994i | \(0.721255\pi\) | |||||||
\(648\) | 2.41447e17 | + | 4.18199e17i | 0.128111 | + | 0.221894i | ||||
\(649\) | 1.62825e16 | − | 2.82022e16i | 0.00855326 | − | 0.0148147i | ||||
\(650\) | 8.74109e17 | 0.454599 | ||||||||
\(651\) | −7.19663e16 | + | 5.86336e17i | −0.0370555 | + | 0.301905i | ||||
\(652\) | 1.92253e18 | 0.980084 | ||||||||
\(653\) | 1.05455e18 | − | 1.82654e18i | 0.532270 | − | 0.921919i | −0.467020 | − | 0.884247i | \(-0.654672\pi\) |
0.999290 | − | 0.0376725i | \(-0.0119944\pi\) | |||||||
\(654\) | 1.83587e17 | + | 3.17982e17i | 0.0917459 | + | 0.158909i | ||||
\(655\) | 6.74812e17 | + | 1.16881e18i | 0.333899 | + | 0.578329i | ||||
\(656\) | −2.74548e17 | + | 4.75531e17i | −0.134506 | + | 0.232972i | ||||
\(657\) | −2.29333e18 | −1.11248 | ||||||||
\(658\) | 2.41358e17 | + | 1.81859e17i | 0.115929 | + | 0.0873507i | ||||
\(659\) | 9.69560e17 | 0.461126 | 0.230563 | − | 0.973057i | \(-0.425943\pi\) | ||||
0.230563 | + | 0.973057i | \(0.425943\pi\) | |||||||
\(660\) | −4.64693e15 | + | 8.04872e15i | −0.00218842 | + | 0.00379046i | ||||
\(661\) | −4.51127e16 | − | 7.81375e16i | −0.0210373 | − | 0.0364376i | 0.855315 | − | 0.518108i | \(-0.173364\pi\) |
−0.876352 | + | 0.481671i | \(0.840030\pi\) | |||||||
\(662\) | 1.26460e17 | + | 2.19036e17i | 0.0583953 | + | 0.101144i | ||||
\(663\) | 5.89165e17 | − | 1.02046e18i | 0.269401 | − | 0.466616i | ||||
\(664\) | 2.46790e16 | 0.0111747 | ||||||||
\(665\) | 1.38081e18 | + | 1.04042e18i | 0.619148 | + | 0.466518i | ||||
\(666\) | 2.49488e18 | 1.10782 | ||||||||
\(667\) | −1.21416e18 | + | 2.10299e18i | −0.533899 | + | 0.924739i | ||||
\(668\) | 3.67857e17 | + | 6.37147e17i | 0.160189 | + | 0.277455i | ||||
\(669\) | 1.29104e17 | + | 2.23615e17i | 0.0556764 | + | 0.0964343i | ||||
\(670\) | −6.35921e17 | + | 1.10145e18i | −0.271592 | + | 0.470411i | ||||
\(671\) | −3.55553e16 | −0.0150386 | ||||||||
\(672\) | −1.58260e16 | + | 1.28940e17i | −0.00662935 | + | 0.0540117i | ||||
\(673\) | −3.19523e18 | −1.32557 | −0.662787 | − | 0.748808i | \(-0.730626\pi\) | ||||
−0.662787 | + | 0.748808i | \(0.730626\pi\) | |||||||
\(674\) | −3.24414e17 | + | 5.61901e17i | −0.133294 | + | 0.230872i | ||||
\(675\) | 3.24551e17 | + | 5.62138e17i | 0.132071 | + | 0.228754i | ||||
\(676\) | −6.43647e17 | − | 1.11483e18i | −0.259414 | − | 0.449319i | ||||
\(677\) | −1.03656e17 | + | 1.79538e17i | −0.0413780 | + | 0.0716688i | −0.885973 | − | 0.463737i | \(-0.846508\pi\) |
0.844595 | + | 0.535406i | \(0.179841\pi\) | |||||||
\(678\) | 6.74914e17 | 0.266843 | ||||||||
\(679\) | −2.99120e18 | + | 1.26985e18i | −1.17136 | + | 0.497276i | ||||
\(680\) | −8.28605e17 | −0.321395 | ||||||||
\(681\) | −2.74234e17 | + | 4.74987e17i | −0.105357 | + | 0.182484i | ||||
\(682\) | 3.52135e16 | + | 6.09916e16i | 0.0134002 | + | 0.0232098i | ||||
\(683\) | −1.28206e18 | − | 2.22059e18i | −0.483251 | − | 0.837015i | 0.516564 | − | 0.856248i | \(-0.327211\pi\) |
−0.999815 | + | 0.0192336i | \(0.993877\pi\) | |||||||
\(684\) | −6.33823e17 | + | 1.09781e18i | −0.236648 | + | 0.409887i | ||||
\(685\) | 4.63468e17 | 0.171408 | ||||||||
\(686\) | −1.21489e18 | − | 1.49985e18i | −0.445071 | − | 0.549465i | ||||
\(687\) | 4.94642e17 | 0.179503 | ||||||||
\(688\) | 4.85000e16 | − | 8.40044e16i | 0.0174348 | − | 0.0301979i | ||||
\(689\) | −4.88479e17 | − | 8.46070e17i | −0.173948 | − | 0.301288i | ||||
\(690\) | 3.16289e17 | + | 5.47829e17i | 0.111575 | + | 0.193253i | ||||
\(691\) | 1.69981e17 | − | 2.94416e17i | 0.0594009 | − | 0.102885i | −0.834796 | − | 0.550560i | \(-0.814414\pi\) |
0.894197 | + | 0.447674i | \(0.147748\pi\) | |||||||
\(692\) | −2.38460e18 | −0.825517 | ||||||||
\(693\) | 9.31960e16 | − | 3.95643e16i | 0.0319618 | − | 0.0135687i | ||||
\(694\) | 1.47466e18 | 0.501019 | ||||||||
\(695\) | 1.53819e18 | − | 2.66423e18i | 0.517737 | − | 0.896747i | ||||
\(696\) | 1.26013e17 | + | 2.18261e17i | 0.0420199 | + | 0.0727807i | ||||
\(697\) | −1.99696e18 | − | 3.45884e18i | −0.659715 | − | 1.14266i | ||||
\(698\) | −6.90538e17 | + | 1.19605e18i | −0.226010 | + | 0.391460i | ||||
\(699\) | 5.62587e17 | 0.182426 | ||||||||
\(700\) | 8.53927e16 | − | 6.95726e17i | 0.0274337 | − | 0.223512i | ||||
\(701\) | 1.45413e18 | 0.462846 | 0.231423 | − | 0.972853i | \(-0.425662\pi\) | ||||
0.231423 | + | 0.972853i | \(0.425662\pi\) | |||||||
\(702\) | 9.38581e17 | − | 1.62567e18i | 0.295992 | − | 0.512674i | ||||
\(703\) | 2.89599e18 | + | 5.01600e18i | 0.904873 | + | 1.56729i | ||||
\(704\) | 7.74375e15 | + | 1.34126e16i | 0.00239734 | + | 0.00415231i | ||||
\(705\) | 7.63634e16 | − | 1.32265e17i | 0.0234237 | − | 0.0405711i | ||||
\(706\) | 1.22234e18 | 0.371502 | ||||||||
\(707\) | 1.37727e18 | + | 1.03775e18i | 0.414755 | + | 0.312511i | ||||
\(708\) | −2.30043e17 | −0.0686424 | ||||||||
\(709\) | 1.71646e18 | − | 2.97300e18i | 0.507498 | − | 0.879012i | −0.492465 | − | 0.870332i | \(-0.663904\pi\) |
0.999962 | − | 0.00867935i | \(-0.00276276\pi\) | |||||||
\(710\) | −1.43704e18 | − | 2.48903e18i | −0.421007 | − | 0.729206i | ||||
\(711\) | −2.06612e17 | − | 3.57862e17i | −0.0599795 | − | 0.103888i | ||||
\(712\) | −5.17760e17 | + | 8.96787e17i | −0.148939 | + | 0.257970i | ||||
\(713\) | 4.79355e18 | 1.36639 | ||||||||
\(714\) | −7.54657e17 | − | 5.68622e17i | −0.213163 | − | 0.160615i | ||||
\(715\) | −1.45023e17 | −0.0405925 | ||||||||
\(716\) | 1.72544e18 | − | 2.98855e18i | 0.478592 | − | 0.828945i | ||||
\(717\) | −1.07212e18 | − | 1.85697e18i | −0.294693 | − | 0.510424i | ||||
\(718\) | 4.65578e17 | + | 8.06404e17i | 0.126819 | + | 0.219656i | ||||
\(719\) | −6.47577e17 | + | 1.12164e18i | −0.174805 | + | 0.302771i | −0.940094 | − | 0.340916i | \(-0.889263\pi\) |
0.765289 | + | 0.643687i | \(0.222596\pi\) | |||||||
\(720\) | −6.27187e17 | −0.167778 | ||||||||
\(721\) | −2.97296e17 | + | 2.42218e18i | −0.0788153 | + | 0.642137i | ||||
\(722\) | −2.51506e17 | −0.0660778 | ||||||||
\(723\) | −4.26669e17 | + | 7.39012e17i | −0.111094 | + | 0.192421i | ||||
\(724\) | −6.33177e17 | − | 1.09670e18i | −0.163390 | − | 0.282999i | ||||
\(725\) | −6.79932e17 | − | 1.17768e18i | −0.173888 | − | 0.301182i | ||||
\(726\) | 4.28759e17 | − | 7.42633e17i | 0.108674 | − | 0.188229i | ||||
\(727\) | 4.19685e18 | 1.05426 | 0.527132 | − | 0.849783i | \(-0.323267\pi\) | ||||
0.527132 | + | 0.849783i | \(0.323267\pi\) | |||||||
\(728\) | −1.86592e18 | + | 7.92134e17i | −0.464556 | + | 0.197217i | ||||
\(729\) | −1.92696e18 | −0.475492 | ||||||||
\(730\) | 1.31708e18 | − | 2.28125e18i | 0.322117 | − | 0.557923i | ||||
\(731\) | 3.52771e17 | + | 6.11017e17i | 0.0855125 | + | 0.148112i | ||||
\(732\) | 1.25583e17 | + | 2.17516e17i | 0.0301724 | + | 0.0522601i | ||||
\(733\) | 2.89692e18 | − | 5.01761e18i | 0.689859 | − | 1.19487i | −0.282025 | − | 0.959407i | \(-0.591006\pi\) |
0.971883 | − | 0.235463i | \(-0.0756607\pi\) | |||||||
\(734\) | 3.94798e18 | 0.931861 | ||||||||
\(735\) | −6.77548e17 | + | 7.01748e17i | −0.158516 | + | 0.164177i | ||||
\(736\) | 1.05414e18 | 0.244452 | ||||||||
\(737\) | −8.64546e16 | + | 1.49744e17i | −0.0198724 | + | 0.0344199i | ||||
\(738\) | −1.51154e18 | − | 2.61806e18i | −0.344392 | − | 0.596504i | ||||
\(739\) | 1.56024e17 | + | 2.70242e17i | 0.0352373 | + | 0.0610328i | 0.883106 | − | 0.469173i | \(-0.155448\pi\) |
−0.847869 | + | 0.530206i | \(0.822115\pi\) | |||||||
\(740\) | −1.43284e18 | + | 2.48174e18i | −0.320767 | + | 0.555585i | ||||
\(741\) | 2.07059e18 | 0.459489 | ||||||||
\(742\) | −7.21129e17 | + | 3.06140e17i | −0.158631 | + | 0.0673432i | ||||
\(743\) | −3.64180e18 | −0.794124 | −0.397062 | − | 0.917792i | \(-0.629970\pi\) | ||||
−0.397062 | + | 0.917792i | \(0.629970\pi\) | |||||||
\(744\) | 2.48752e17 | − | 4.30851e17i | 0.0537703 | − | 0.0931328i | ||||
\(745\) | 8.40952e17 | + | 1.45657e18i | 0.180200 | + | 0.312116i | ||||
\(746\) | −2.42791e18 | − | 4.20527e18i | −0.515740 | − | 0.893288i | ||||
\(747\) | −6.79356e16 | + | 1.17668e17i | −0.0143059 | + | 0.0247785i | ||||
\(748\) | −1.12650e17 | −0.0235165 | ||||||||
\(749\) | −9.32948e17 | + | 7.60107e18i | −0.193075 | + | 1.57305i | ||||
\(750\) | −1.14079e18 | −0.234050 | ||||||||
\(751\) | −3.13258e18 | + | 5.42578e18i | −0.637151 | + | 1.10358i | 0.348905 | + | 0.937158i | \(0.386554\pi\) |
−0.986055 | + | 0.166419i | \(0.946780\pi\) | |||||||
\(752\) | −1.27254e17 | − | 2.20410e17i | −0.0256599 | − | 0.0444442i | ||||
\(753\) | 6.19881e17 | + | 1.07366e18i | 0.123920 | + | 0.214635i | ||||
\(754\) | −1.96632e18 | + | 3.40577e18i | −0.389710 | + | 0.674997i | ||||
\(755\) | −6.25673e18 | −1.22940 | ||||||||
\(756\) | −1.20222e18 | − | 9.05855e17i | −0.234203 | − | 0.176468i | ||||
\(757\) | 2.22951e18 | 0.430612 | 0.215306 | − | 0.976547i | \(-0.430925\pi\) | ||||
0.215306 | + | 0.976547i | \(0.430925\pi\) | |||||||
\(758\) | −9.53058e17 | + | 1.65075e18i | −0.182503 | + | 0.316104i | ||||
\(759\) | 4.30000e16 | + | 7.44783e16i | 0.00816389 | + | 0.0141403i | ||||
\(760\) | −7.28021e17 | − | 1.26097e18i | −0.137043 | − | 0.237365i | ||||
\(761\) | −1.54791e18 | + | 2.68106e18i | −0.288899 | + | 0.500387i | −0.973547 | − | 0.228486i | \(-0.926622\pi\) |
0.684649 | + | 0.728873i | \(0.259956\pi\) | |||||||
\(762\) | 3.90596e17 | 0.0722803 | ||||||||
\(763\) | 3.66940e18 | + | 2.76483e18i | 0.673263 | + | 0.507293i | ||||
\(764\) | 7.12524e17 | 0.129626 | ||||||||
\(765\) | 2.28096e18 | − | 3.95074e18i | 0.411452 | − | 0.712655i | ||||
\(766\) | 2.60060e18 | + | 4.50437e18i | 0.465143 | + | 0.805652i | ||||
\(767\) | −1.79481e18 | − | 3.10870e18i | −0.318308 | − | 0.551326i | ||||
\(768\) | 5.47026e16 | − | 9.47477e16i | 0.00961967 | − | 0.0166618i | ||||
\(769\) | −1.53830e18 | −0.268238 | −0.134119 | − | 0.990965i | \(-0.542821\pi\) | ||||
−0.134119 | + | 0.990965i | \(0.542821\pi\) | |||||||
\(770\) | −1.41674e16 | + | 1.15427e17i | −0.00244963 | + | 0.0199581i | ||||
\(771\) | −2.92417e18 | −0.501360 | ||||||||
\(772\) | −1.10329e17 | + | 1.91095e17i | −0.0187576 | + | 0.0324891i | ||||
\(773\) | 6.66101e17 | + | 1.15372e18i | 0.112298 | + | 0.194506i | 0.916697 | − | 0.399584i | \(-0.130845\pi\) |
−0.804398 | + | 0.594090i | \(0.797512\pi\) | |||||||
\(774\) | 2.67019e17 | + | 4.62491e17i | 0.0446402 | + | 0.0773191i | ||||
\(775\) | −1.34220e18 | + | 2.32475e18i | −0.222513 | + | 0.385404i | ||||
\(776\) | 2.73672e18 | 0.449913 | ||||||||
\(777\) | −3.00804e18 | + | 1.27699e18i | −0.490395 | + | 0.208186i | ||||
\(778\) | −1.69388e18 | −0.273851 | ||||||||
\(779\) | 3.50910e18 | − | 6.07794e18i | 0.562603 | − | 0.974458i | ||||
\(780\) | 5.12227e17 | + | 8.87203e17i | 0.0814418 | + | 0.141061i | ||||
\(781\) | −1.95368e17 | − | 3.38387e17i | −0.0308050 | − | 0.0533559i | ||||
\(782\) | −3.83372e18 | + | 6.64019e18i | −0.599482 | + | 1.03833i | ||||
\(783\) | −2.92033e18 | −0.452877 | ||||||||
\(784\) | 4.48197e17 | + | 1.56252e18i | 0.0689309 | + | 0.240309i | ||||
\(785\) | −8.46319e18 | −1.29087 | ||||||||
\(786\) | 6.48074e17 | − | 1.12250e18i | 0.0980343 | − | 0.169800i | ||||
\(787\) | 4.52264e17 | + | 7.83343e17i | 0.0678509 | + | 0.117521i | 0.897955 | − | 0.440087i | \(-0.145052\pi\) |
−0.830104 | + | 0.557608i | \(0.811719\pi\) | |||||||
\(788\) | 1.24240e18 | + | 2.15189e18i | 0.184859 | + | 0.320185i | ||||
\(789\) | 4.31033e17 | − | 7.46571e17i | 0.0636077 | − | 0.110172i | ||||
\(790\) | 4.74637e17 | 0.0694681 | ||||||||
\(791\) | 7.77366e18 | − | 3.30013e18i | 1.12844 | − | 0.479054i | ||||
\(792\) | −8.52672e16 | −0.0122763 | ||||||||
\(793\) | −1.95961e18 | + | 3.39415e18i | −0.279830 | + | 0.484680i | ||||
\(794\) | −2.86280e18 | − | 4.95851e18i | −0.405468 | − | 0.702292i | ||||
\(795\) | 1.97963e17 | + | 3.42881e17i | 0.0278097 | + | 0.0481679i | ||||
\(796\) | 2.37261e18 | − | 4.10948e18i | 0.330591 | − | 0.572601i | ||||
\(797\) | 1.22176e19 | 1.68853 | 0.844264 | − | 0.535927i | \(-0.180038\pi\) | ||||
0.844264 | + | 0.535927i | \(0.180038\pi\) | |||||||
\(798\) | 2.02278e17 | − | 1.64803e18i | 0.0277287 | − | 0.225916i | ||||
\(799\) | 1.85119e18 | 0.251708 | ||||||||
\(800\) | −2.95160e17 | + | 5.11233e17i | −0.0398082 | + | 0.0689499i | ||||
\(801\) | −2.85055e18 | − | 4.93730e18i | −0.381345 | − | 0.660508i | ||||
\(802\) | 3.68719e18 | + | 6.38640e18i | 0.489285 | + | 0.847467i | ||||
\(803\) | 1.79059e17 | − | 3.10140e17i | 0.0235693 | − | 0.0408231i | ||||
\(804\) | 1.22145e18 | 0.159482 | ||||||||
\(805\) | 6.32174e18 | + | 4.76333e18i | 0.818773 | + | 0.616932i | ||||
\(806\) | 7.76311e18 | 0.997373 | ||||||||
\(807\) | −1.53175e18 | + | 2.65306e18i | −0.195213 | + | 0.338119i | ||||
\(808\) | −7.26151e17 | − | 1.25773e18i | −0.0918022 | − | 0.159006i | ||||
\(809\) | −7.14330e18 | − | 1.23726e19i | −0.895846 | − | 1.55165i | −0.832754 | − | 0.553643i | \(-0.813237\pi\) |
−0.0630918 | − | 0.998008i | \(-0.520096\pi\) | |||||||
\(810\) | 1.52686e18 | − | 2.64460e18i | 0.189953 | − | 0.329008i | ||||
\(811\) | 5.74123e18 | 0.708548 | 0.354274 | − | 0.935142i | \(-0.384728\pi\) | ||||
0.354274 | + | 0.935142i | \(0.384728\pi\) | |||||||
\(812\) | 2.51865e18 | + | 1.89776e18i | 0.308357 | + | 0.232342i | ||||
\(813\) | 7.59108e16 | 0.00921966 | ||||||||
\(814\) | −1.94796e17 | + | 3.37397e17i | −0.0234705 | + | 0.0406521i | ||||
\(815\) | −6.07882e18 | − | 1.05288e19i | −0.726599 | − | 1.25851i | ||||
\(816\) | 3.97886e17 | + | 6.89159e17i | 0.0471816 | + | 0.0817210i | ||||
\(817\) | −6.19897e17 | + | 1.07369e18i | −0.0729249 | + | 0.126310i | ||||
\(818\) | −3.22687e18 | −0.376604 | ||||||||
\(819\) | 1.35960e18 | − | 1.10772e19i | 0.157422 | − | 1.28258i | ||||
\(820\) | 3.47236e18 | 0.398873 | ||||||||
\(821\) | −2.46455e18 | + | 4.26872e18i | −0.280871 | + | 0.486482i | −0.971599 | − | 0.236632i | \(-0.923957\pi\) |
0.690729 | + | 0.723114i | \(0.257290\pi\) | |||||||
\(822\) | −2.22552e17 | − | 3.85471e17i | −0.0251631 | − | 0.0435838i | ||||
\(823\) | −5.72257e18 | − | 9.91178e18i | −0.641937 | − | 1.11187i | −0.985000 | − | 0.172555i | \(-0.944798\pi\) |
0.343063 | − | 0.939312i | \(-0.388535\pi\) | |||||||
\(824\) | 1.02761e18 | − | 1.77987e18i | 0.114367 | − | 0.198089i | ||||
\(825\) | −4.81601e16 | −0.00531786 | ||||||||
\(826\) | −2.64963e18 | + | 1.12484e18i | −0.290279 | + | 0.123231i | ||||
\(827\) | −1.52462e16 | −0.00165720 | −0.000828600 | − | 1.00000i | \(-0.500264\pi\) | ||||
−0.000828600 | 1.00000i | \(0.500264\pi\) | ||||||||
\(828\) | −2.90182e18 | + | 5.02609e18i | −0.312948 | + | 0.542042i | ||||
\(829\) | 4.36869e18 | + | 7.56680e18i | 0.467463 | + | 0.809669i | 0.999309 | − | 0.0371719i | \(-0.0118349\pi\) |
−0.531846 | + | 0.846841i | \(0.678502\pi\) | |||||||
\(830\) | −7.80322e16 | − | 1.35156e17i | −0.00828450 | − | 0.0143492i | ||||
\(831\) | 2.03891e18 | − | 3.53149e18i | 0.214779 | − | 0.372007i | ||||
\(832\) | 1.70717e18 | 0.178433 | ||||||||
\(833\) | −1.14725e19 | − | 2.85933e18i | −1.18978 | − | 0.296532i | ||||
\(834\) | −2.95449e18 | −0.304020 | ||||||||
\(835\) | 2.32625e18 | − | 4.02918e18i | 0.237517 | − | 0.411391i | ||||
\(836\) | −9.89758e16 | − | 1.71431e17i | −0.0100274 | − | 0.0173680i | ||||
\(837\) | 2.88239e18 | + | 4.99244e18i | 0.289759 | + | 0.501878i | ||||
\(838\) | −1.82042e18 | + | 3.15306e18i | −0.181587 | + | 0.314518i | ||||
\(839\) | 1.82185e18 | 0.180327 | 0.0901635 | − | 0.995927i | \(-0.471261\pi\) | ||||
0.0901635 | + | 0.995927i | \(0.471261\pi\) | |||||||
\(840\) | 7.56188e17 | − | 3.21023e17i | 0.0742702 | − | 0.0315298i | ||||
\(841\) | −4.14255e18 | −0.403733 | ||||||||
\(842\) | −7.18457e17 | + | 1.24440e18i | −0.0694820 | + | 0.120346i | ||||
\(843\) | −2.72804e18 | − | 4.72510e18i | −0.261801 | − | 0.453453i | ||||
\(844\) | 7.33948e17 | + | 1.27124e18i | 0.0698940 | + | 0.121060i | ||||
\(845\) | −4.07028e18 | + | 7.04993e18i | −0.384641 | + | 0.666218i | ||||
\(846\) | 1.40120e18 | 0.131399 | ||||||||
\(847\) | 1.30719e18 | − | 1.06502e19i | 0.121646 | − | 0.991091i | ||||
\(848\) | 6.59778e17 | 0.0609291 | ||||||||
\(849\) | 2.22059e18 | − | 3.84618e18i | 0.203502 | − | 0.352476i | ||||
\(850\) | −2.14689e18 | − | 3.71852e18i | −0.195248 | − | 0.338179i | ||||
\(851\) | 1.32586e19 | + | 2.29646e19i | 1.19662 | + | 2.07261i | ||||
\(852\) | −1.38010e18 | + | 2.39040e18i | −0.123610 | + | 0.214098i | ||||
\(853\) | −1.25797e19 | −1.11816 | −0.559078 | − | 0.829115i | \(-0.688845\pi\) | ||||
−0.559078 | + | 0.829115i | \(0.688845\pi\) | |||||||
\(854\) | 2.51006e18 | + | 1.89129e18i | 0.221415 | + | 0.166833i | ||||
\(855\) | 8.01632e18 | 0.701770 | ||||||||
\(856\) | 3.22474e18 | − | 5.58541e18i | 0.280166 | − | 0.485261i | ||||
\(857\) | 2.01034e17 | + | 3.48201e17i | 0.0173338 | + | 0.0300230i | 0.874562 | − | 0.484913i | \(-0.161149\pi\) |
−0.857228 | + | 0.514936i | \(0.827816\pi\) | |||||||
\(858\) | 6.96381e16 | + | 1.20617e17i | 0.00595909 | + | 0.0103214i | ||||
\(859\) | 4.67361e18 | − | 8.09493e18i | 0.396914 | − | 0.687476i | −0.596429 | − | 0.802666i | \(-0.703414\pi\) |
0.993343 | + | 0.115190i | \(0.0367476\pi\) | |||||||
\(860\) | −6.13406e17 | −0.0517021 | ||||||||
\(861\) | 3.16247e18 | + | 2.38287e18i | 0.264549 | + | 0.199334i | ||||
\(862\) | −1.00952e19 | −0.838144 | ||||||||
\(863\) | −8.20224e18 | + | 1.42067e19i | −0.675869 | + | 1.17064i | 0.300345 | + | 0.953831i | \(0.402898\pi\) |
−0.976214 | + | 0.216809i | \(0.930435\pi\) | |||||||
\(864\) | 6.33861e17 | + | 1.09788e18i | 0.0518388 | + | 0.0897874i | ||||
\(865\) | 7.53985e18 | + | 1.30594e19i | 0.612009 | + | 1.06003i | ||||
\(866\) | 8.08627e18 | − | 1.40058e19i | 0.651451 | − | 1.12835i | ||||
\(867\) | −1.93839e18 | −0.154995 | ||||||||
\(868\) | 7.58387e17 | − | 6.17886e18i | 0.0601884 | − | 0.490377i | ||||
\(869\) | 6.45277e16 | 0.00508297 | ||||||||
\(870\) | 7.96879e17 | − | 1.38023e18i | 0.0623042 | − | 0.107914i | ||||
\(871\) | 9.52980e18 | + | 1.65061e19i | 0.739547 | + | 1.28093i | ||||
\(872\) | −1.93466e18 | − | 3.35092e18i | −0.149021 | − | 0.258111i | ||||
\(873\) | −7.53356e18 | + | 1.30485e19i | −0.575980 | + | 0.997627i | ||||
\(874\) | −1.34734e19 | −1.02247 | ||||||||
\(875\) | −1.31396e19 | + | 5.57814e18i | −0.989762 | + | 0.420182i | ||||
\(876\) | −2.52978e18 | −0.189150 | ||||||||
\(877\) | 1.23391e18 | − | 2.13719e18i | 0.0915769 | − | 0.158616i | −0.816598 | − | 0.577207i | \(-0.804143\pi\) |
0.908175 | + | 0.418591i | \(0.137476\pi\) | |||||||
\(878\) | 5.36573e18 | + | 9.29372e18i | 0.395289 | + | 0.684660i | ||||
\(879\) | 1.12948e18 | + | 1.95632e18i | 0.0825947 | + | 0.143058i | ||||
\(880\) | 4.89698e16 | − | 8.48181e16i | 0.00355460 | − | 0.00615675i | ||||
\(881\) | −3.32748e18 | −0.239757 | −0.119879 | − | 0.992789i | \(-0.538251\pi\) | ||||
−0.119879 | + | 0.992789i | \(0.538251\pi\) | |||||||
\(882\) | −8.68378e18 | − | 2.16428e18i | −0.621102 | − | 0.154799i | ||||
\(883\) | 8.38821e18 | 0.595559 | 0.297779 | − | 0.954635i | \(-0.403754\pi\) | ||||
0.297779 | + | 0.954635i | \(0.403754\pi\) | |||||||
\(884\) | −6.20867e18 | + | 1.07537e19i | −0.437581 | + | 0.757913i | ||||
\(885\) | 7.27370e17 | + | 1.25984e18i | 0.0508891 | + | 0.0881424i | ||||
\(886\) | −2.52418e18 | − | 4.37200e18i | −0.175307 | − | 0.303641i | ||||
\(887\) | 1.05183e19 | − | 1.82183e19i | 0.725176 | − | 1.25604i | −0.233726 | − | 0.972303i | \(-0.575092\pi\) |
0.958902 | − | 0.283739i | \(-0.0915749\pi\) | |||||||
\(888\) | 2.75212e18 | 0.188358 | ||||||||
\(889\) | 4.49888e18 | − | 1.90990e18i | 0.305663 | − | 0.129762i | ||||
\(890\) | 6.54840e18 | 0.441672 | ||||||||
\(891\) | 2.07579e17 | − | 3.59538e17i | 0.0138988 | − | 0.0240735i | ||||
\(892\) | −1.36051e18 | − | 2.35648e18i | −0.0904338 | − | 0.156636i | ||||
\(893\) | 1.62648e18 | + | 2.81714e18i | 0.107328 | + | 0.185898i | ||||
\(894\) | 8.07631e17 | − | 1.39886e18i | 0.0529077 | − | 0.0916388i | ||||
\(895\) | −2.18226e19 | −1.41924 | ||||||||
\(896\) | 1.66776e17 | − | 1.35878e18i | 0.0107679 | − | 0.0877300i | ||||
\(897\) | 9.47970e18 | 0.607637 | ||||||||
\(898\) | −2.09388e18 | + | 3.62671e18i | −0.133247 | + | 0.230790i | ||||
\(899\) | −6.03859e18 | − | 1.04591e19i | −0.381503 | − | 0.660782i | ||||
\(900\) | −1.62502e18 | − | 2.81462e18i | −0.101925 | − | 0.176540i | ||||
\(901\) | −2.39949e18 | + | 4.15604e18i | −0.149420 | + | 0.258803i | ||||
\(902\) | 4.72074e17 | 0.0291855 | ||||||||
\(903\) | −5.58664e17 | − | 4.20944e17i | −0.0342910 | − | 0.0258377i | ||||
\(904\) | −7.11230e18 | −0.433427 | ||||||||
\(905\) | −4.00408e18 | + | 6.93526e18i | −0.242263 | + | 0.419611i | ||||
\(906\) | 3.00441e18 | + | 5.20379e18i | 0.180479 | + | 0.312598i | ||||
\(907\) | 6.17837e18 | + | 1.07013e19i | 0.368491 | + | 0.638245i | 0.989330 | − | 0.145693i | \(-0.0465412\pi\) |
−0.620839 | + | 0.783938i | \(0.713208\pi\) | |||||||
\(908\) | 2.88990e18 | − | 5.00546e18i | 0.171130 | − | 0.296405i | ||||
\(909\) | 7.99572e18 | 0.470102 | ||||||||
\(910\) | 1.02380e19 | + | 7.71416e18i | 0.597648 | + | 0.450318i | ||||
\(911\) | 2.86402e19 | 1.65999 | 0.829997 | − | 0.557768i | \(-0.188342\pi\) | ||||
0.829997 | + | 0.557768i | \(0.188342\pi\) | |||||||
\(912\) | −6.99175e17 | + | 1.21101e18i | −0.0402364 | + | 0.0696915i | ||||
\(913\) | −1.06086e16 | − | 1.83747e16i | −0.000606176 | − | 0.00104993i | ||||
\(914\) | −2.81215e18 | − | 4.87079e18i | −0.159547 | − | 0.276343i | ||||
\(915\) | 7.94160e17 | − | 1.37553e18i | 0.0447374 | − | 0.0774875i | ||||
\(916\) | −5.21258e18 | −0.291563 | ||||||||
\(917\) | 1.97583e18 | − | 1.60978e19i | 0.109736 | − | 0.894059i | ||||
\(918\) | −9.22094e18 | −0.508508 | ||||||||
\(919\) | −7.77674e17 | + | 1.34697e18i | −0.0425840 | + | 0.0737577i | −0.886532 | − | 0.462668i | \(-0.846892\pi\) |
0.843948 | + | 0.536425i | \(0.180226\pi\) | |||||||
\(920\) | −3.33308e18 | − | 5.77307e18i | −0.181228 | − | 0.313896i | ||||
\(921\) | −1.76038e18 | − | 3.04907e18i | −0.0950427 | − | 0.164619i | ||||
\(922\) | 9.57095e18 | − | 1.65774e19i | 0.513103 | − | 0.888720i | ||||
\(923\) | −4.30705e19 | −2.29281 | ||||||||
\(924\) | 1.02805e17 | − | 4.36436e16i | 0.00543434 | − | 0.00230703i | ||||
\(925\) | −1.48497e19 | −0.779465 | ||||||||
\(926\) | 1.12840e19 | − | 1.95445e19i | 0.588157 | − | 1.01872i | ||||
\(927\) | 5.65754e18 | + | 9.79914e18i | 0.292826 | + | 0.507189i | ||||
\(928\) | −1.32794e18 | − | 2.30005e18i | −0.0682520 | − | 0.118216i | ||||
\(929\) | −4.74515e18 | + | 8.21883e18i | −0.242185 | + | 0.419477i | −0.961336 | − | 0.275377i | \(-0.911197\pi\) |
0.719151 | + | 0.694854i | \(0.244531\pi\) | |||||||
\(930\) | −3.14610e18 | −0.159453 | ||||||||
\(931\) | −5.72857e18 | − | 1.99711e19i | −0.288319 | − | 1.00515i | ||||
\(932\) | −5.92859e18 | −0.296311 | ||||||||
\(933\) | 1.35172e18 | − | 2.34124e18i | 0.0670895 | − | 0.116202i | ||||
\(934\) | 8.98519e18 | + | 1.55628e19i | 0.442866 | + | 0.767067i | ||||
\(935\) | 3.56188e17 | + | 6.16936e17i | 0.0174343 | + | 0.0301970i | ||||
\(936\) | −4.69946e18 | + | 8.13970e18i | −0.228431 | + | 0.395654i | ||||
\(937\) | 2.37142e19 | 1.14473 | 0.572363 | − | 0.820001i | \(-0.306027\pi\) | ||||
0.572363 | + | 0.820001i | \(0.306027\pi\) | |||||||
\(938\) | 1.40686e19 | − | 5.97252e18i | 0.674424 | − | 0.286312i | ||||
\(939\) | 8.89125e18 | 0.423288 | ||||||||
\(940\) | −8.04724e17 | + | 1.39382e18i | −0.0380466 | + | 0.0658987i | ||||
\(941\) | −4.88626e17 | − | 8.46324e17i | −0.0229427 | − | 0.0397378i | 0.854326 | − | 0.519737i | \(-0.173970\pi\) |
−0.877269 | + | 0.479999i | \(0.840637\pi\) | |||||||
\(942\) | 4.06392e18 | + | 7.03892e18i | 0.189502 | + | 0.328228i | ||||
\(943\) | 1.60656e19 | − | 2.78265e19i | 0.743998 | − | 1.28864i | ||||
\(944\) | 2.42421e18 | 0.111494 | ||||||||
\(945\) | −1.15967e18 | + | 9.44825e18i | −0.0529697 | + | 0.431564i | ||||
\(946\) | −8.33937e16 | −0.00378304 | ||||||||
\(947\) | 1.91578e19 | − | 3.31822e19i | 0.863118 | − | 1.49496i | −0.00578593 | − | 0.999983i | \(-0.501842\pi\) |
0.868904 | − | 0.494981i | \(-0.164825\pi\) | |||||||
\(948\) | −2.27915e17 | − | 3.94760e17i | −0.0101981 | − | 0.0176636i | ||||
\(949\) | −1.97375e19 | − | 3.41864e19i | −0.877127 | − | 1.51923i | ||||
\(950\) | 3.77255e18 | − | 6.53426e18i | 0.166507 | − | 0.288398i | ||||
\(951\) | −6.82209e18 | −0.299050 | ||||||||
\(952\) | 7.95264e18 | + | 5.99219e18i | 0.346235 | + | 0.260883i | ||||
\(953\) | 2.21709e19 | 0.958693 | 0.479347 | − | 0.877626i | \(-0.340874\pi\) | ||||
0.479347 | + | 0.877626i | \(0.340874\pi\) | |||||||
\(954\) | −1.81622e18 | + | 3.14579e18i | −0.0780017 | + | 0.135103i | ||||
\(955\) | −2.25292e18 | − | 3.90217e18i | −0.0961002 | − | 0.166450i | ||||
\(956\) | 1.12981e19 | + | 1.95689e19i | 0.478663 | + | 0.829069i | ||||
\(957\) | 1.08337e17 | − | 1.87645e17i | 0.00455879 | − | 0.00789605i | ||||
\(958\) | −2.58999e19 | −1.08248 | ||||||||
\(959\) | −4.44820e18 | − | 3.35164e18i | −0.184656 | − | 0.139135i | ||||
\(960\) | −6.91855e17 | −0.0285267 | ||||||||
\(961\) | 2.88497e17 | − | 4.99692e17i | 0.0118152 | − | 0.0204645i | ||||
\(962\) | 2.14722e19 | + | 3.71910e19i | 0.873452 | + | 1.51286i | ||||
\(963\) | 1.77540e19 | + | 3.07508e19i | 0.717339 | + | 1.24247i | ||||
\(964\) | 4.49627e18 | − | 7.78777e18i | 0.180448 | − | 0.312545i | ||||
\(965\) | 1.39539e18 | 0.0556248 | ||||||||
\(966\) | 9.26084e17 | − | 7.54515e18i | 0.0366690 | − | 0.298756i | ||||
\(967\) | −1.43421e19 | −0.564080 | −0.282040 | − | 0.959403i | \(-0.591011\pi\) | ||||
−0.282040 | + | 0.959403i | \(0.591011\pi\) | |||||||
\(968\) | −4.51830e18 | + | 7.82593e18i | −0.176517 | + | 0.305736i | ||||
\(969\) | −5.08554e18 | − | 8.80841e18i | −0.197348 | − | 0.341816i | ||||
\(970\) | −8.65320e18 | − | 1.49878e19i | −0.333549 | − | 0.577725i | ||||
\(971\) | −2.30391e19 | + | 3.99048e19i | −0.882144 | + | 1.52792i | −0.0331923 | + | 0.999449i | \(0.510567\pi\) |
−0.848952 | + | 0.528470i | \(0.822766\pi\) | |||||||
\(972\) | −1.06428e19 | −0.404787 | ||||||||
\(973\) | −3.40298e19 | + | 1.44466e19i | −1.28566 | + | 0.545797i | ||||
\(974\) | 1.91149e19 | 0.717362 | ||||||||
\(975\) | −2.65432e18 | + | 4.59742e18i | −0.0989518 | + | 0.171390i | ||||
\(976\) | −1.32341e18 | − | 2.29221e18i | −0.0490083 | − | 0.0848848i | ||||
\(977\) | 4.27583e18 | + | 7.40595e18i | 0.157292 | + | 0.272437i | 0.933891 | − | 0.357558i | \(-0.116390\pi\) |
−0.776599 | + | 0.629995i | \(0.783057\pi\) | |||||||
\(978\) | −5.83795e18 | + | 1.01116e19i | −0.213333 | + | 0.369504i | ||||
\(979\) | 8.90266e17 | 0.0323171 | ||||||||
\(980\) | 7.14006e18 | − | 7.39508e18i | 0.257474 | − | 0.266670i | ||||
\(981\) | 2.13027e19 | 0.763108 | ||||||||
\(982\) | −1.33606e19 | + | 2.31413e19i | −0.475447 | + | 0.823499i | ||||
\(983\) | −6.01576e18 | − | 1.04196e19i | −0.212663 | − | 0.368344i | 0.739884 | − | 0.672735i | \(-0.234880\pi\) |
−0.952547 | + | 0.304391i | \(0.901547\pi\) | |||||||
\(984\) | −1.66739e18 | − | 2.88800e18i | −0.0585556 | − | 0.101421i | ||||
\(985\) | 7.85664e18 | − | 1.36081e19i | 0.274095 | − | 0.474747i | ||||
\(986\) | 1.93178e19 | 0.669512 | ||||||||
\(987\) | −1.68940e18 | + | 7.17199e17i | −0.0581664 | + | 0.0246932i | ||||
\(988\) | −2.18200e19 | −0.746337 | ||||||||
\(989\) | −2.83806e18 | + | 4.91566e18i | −0.0964373 | + | 0.167034i | ||||
\(990\) | 2.69605e17 | + | 4.66970e17i | 0.00910123 | + | 0.0157638i | ||||
\(991\) | 1.17578e19 | + | 2.03651e19i | 0.394318 | + | 0.682979i | 0.993014 | − | 0.117997i | \(-0.0376474\pi\) |
−0.598696 | + | 0.800977i | \(0.704314\pi\) | |||||||
\(992\) | −2.62137e18 | + | 4.54034e18i | −0.0873378 | + | 0.151273i | ||||
\(993\) | −1.53604e18 | −0.0508432 | ||||||||
\(994\) | −4.20761e18 | + | 3.42809e19i | −0.138364 | + | 1.12730i | ||||
\(995\) | −3.00077e19 | −0.980354 | ||||||||
\(996\) | −7.49403e16 | + | 1.29800e17i | −0.00243237 | + | 0.00421299i | ||||
\(997\) | −2.20493e19 | − | 3.81906e19i | −0.711012 | − | 1.23151i | −0.964477 | − | 0.264165i | \(-0.914904\pi\) |
0.253465 | − | 0.967345i | \(-0.418430\pi\) | |||||||
\(998\) | −2.34099e18 | − | 4.05471e18i | −0.0749981 | − | 0.129900i | ||||
\(999\) | −1.59450e19 | + | 2.76175e19i | −0.507514 | + | 0.879041i |
(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 | 14.14.c.b.9.3 | ✓ | 8 | |
3.2 | odd | 2 | 126.14.g.b.37.3 | 8 | |||
7.2 | even | 3 | 98.14.a.h.1.2 | 4 | |||
7.3 | odd | 6 | 98.14.c.o.67.2 | 8 | |||
7.4 | even | 3 | inner | 14.14.c.b.11.3 | yes | 8 | |
7.5 | odd | 6 | 98.14.a.j.1.3 | 4 | |||
7.6 | odd | 2 | 98.14.c.o.79.2 | 8 | |||
21.11 | odd | 6 | 126.14.g.b.109.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.14.c.b.9.3 | ✓ | 8 | 1.1 | even | 1 | trivial | |
14.14.c.b.11.3 | yes | 8 | 7.4 | even | 3 | inner | |
98.14.a.h.1.2 | 4 | 7.2 | even | 3 | |||
98.14.a.j.1.3 | 4 | 7.5 | odd | 6 | |||
98.14.c.o.67.2 | 8 | 7.3 | odd | 6 | |||
98.14.c.o.79.2 | 8 | 7.6 | odd | 2 | |||
126.14.g.b.37.3 | 8 | 3.2 | odd | 2 | |||
126.14.g.b.109.3 | 8 | 21.11 | odd | 6 |