Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,33,Mod(2,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 33, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.2");
S:= CuspForms(chi, 33);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 33 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.h (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: | \(136.219975799\) |
Analytic rank: | \(0\) |
Dimension: | \(164\) |
Relative dimension: | \(82\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 21.11 |
Dual form | 21.33.h.b.2.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −95143.0 | + | 54930.9i | −1.45177 | + | 0.838178i | −0.998582 | − | 0.0532379i | \(-0.983046\pi\) |
−0.453186 | + | 0.891416i | \(0.649712\pi\) | |||||||
\(3\) | 4.10114e7 | + | 1.30799e7i | 0.952719 | + | 0.303854i | ||||
\(4\) | 3.88731e9 | − | 6.73302e9i | 0.905086 | − | 1.56765i | ||||
\(5\) | −1.11850e11 | + | 6.45768e10i | −0.733022 | + | 0.423210i | −0.819527 | − | 0.573041i | \(-0.805764\pi\) |
0.0865047 | + | 0.996251i | \(0.472430\pi\) | |||||||
\(6\) | −4.62044e12 | + | 1.00833e12i | −1.63781 | + | 0.357423i | ||||
\(7\) | 2.02925e13 | + | 2.63181e13i | 0.610613 | + | 0.791929i | ||||
\(8\) | 3.82281e14i | 1.35814i | ||||||||
\(9\) | 1.51085e15 | + | 1.07285e15i | 0.815346 | + | 0.578974i | ||||
\(10\) | 7.09452e15 | − | 1.22881e16i | 0.709452 | − | 1.22881i | ||||
\(11\) | 1.13384e16 | + | 6.54622e15i | 0.246756 | + | 0.142465i | 0.618278 | − | 0.785959i | \(-0.287831\pi\) |
−0.371522 | + | 0.928424i | \(0.621164\pi\) | |||||||
\(12\) | 2.47492e17 | − | 2.25285e17i | 1.33863 | − | 1.21852i | ||||
\(13\) | −3.93803e17 | −0.591813 | −0.295907 | − | 0.955217i | \(-0.595622\pi\) | ||||
−0.295907 | + | 0.955217i | \(0.595622\pi\) | |||||||
\(14\) | −3.37636e18 | − | 1.38930e18i | −1.55025 | − | 0.637894i | ||||
\(15\) | −5.43180e18 | + | 1.18539e18i | −0.826958 | + | 0.180469i | ||||
\(16\) | −4.30316e18 | − | 7.45329e18i | −0.233275 | − | 0.404043i | ||||
\(17\) | 2.41230e18 | + | 1.39274e18i | 0.0495734 | + | 0.0286212i | 0.524582 | − | 0.851360i | \(-0.324222\pi\) |
−0.475008 | + | 0.879981i | \(0.657555\pi\) | |||||||
\(18\) | −2.02680e20 | − | 1.90819e19i | −1.66898 | − | 0.157131i | ||||
\(19\) | 2.34816e20 | + | 4.06713e20i | 0.814085 | + | 1.41004i | 0.909983 | + | 0.414646i | \(0.136095\pi\) |
−0.0958973 | + | 0.995391i | \(0.530572\pi\) | |||||||
\(20\) | 1.00412e21i | 1.53217i | ||||||||
\(21\) | 4.87984e20 | + | 1.34477e21i | 0.341112 | + | 0.940023i | ||||
\(22\) | −1.43836e21 | −0.477644 | ||||||||
\(23\) | 3.57428e21 | − | 2.06361e21i | 0.582832 | − | 0.336498i | −0.179426 | − | 0.983771i | \(-0.557424\pi\) |
0.762258 | + | 0.647273i | \(0.224091\pi\) | |||||||
\(24\) | −5.00020e21 | + | 1.56779e22i | −0.412675 | + | 1.29392i | ||||
\(25\) | −3.30121e21 | + | 5.71786e21i | −0.141786 | + | 0.245580i | ||||
\(26\) | 3.74676e22 | − | 2.16319e22i | 0.859175 | − | 0.496045i | ||||
\(27\) | 4.79294e22 | + | 6.37609e22i | 0.600872 | + | 0.799345i | ||||
\(28\) | 2.56084e23 | − | 3.43229e22i | 1.79413 | − | 0.240467i | ||||
\(29\) | − | 9.20826e22i | − | 0.367968i | −0.982929 | − | 0.183984i | \(-0.941101\pi\) | ||
0.982929 | − | 0.183984i | \(-0.0588994\pi\) | |||||||
\(30\) | 4.51683e23 | − | 4.11155e23i | 1.04929 | − | 0.955137i | ||||
\(31\) | −4.13435e23 | + | 7.16091e23i | −0.568356 | + | 0.984421i | 0.428373 | + | 0.903602i | \(0.359087\pi\) |
−0.996729 | + | 0.0808190i | \(0.974246\pi\) | |||||||
\(32\) | −6.03084e23 | − | 3.48191e23i | −0.498860 | − | 0.288017i | ||||
\(33\) | 3.79380e23 | + | 4.16775e23i | 0.191801 | + | 0.210707i | ||||
\(34\) | −3.06018e23 | −0.0959587 | ||||||||
\(35\) | −3.96926e24 | − | 1.63327e24i | −0.782746 | − | 0.322083i | ||||
\(36\) | 1.30967e25 | − | 6.00210e24i | 1.64559 | − | 0.754159i | ||||
\(37\) | 4.88390e24 | + | 8.45916e24i | 0.395857 | + | 0.685645i | 0.993210 | − | 0.116333i | \(-0.0371141\pi\) |
−0.597353 | + | 0.801979i | \(0.703781\pi\) | |||||||
\(38\) | −4.46822e25 | − | 2.57973e25i | −2.36373 | − | 1.36470i | ||||
\(39\) | −1.61504e25 | − | 5.15090e24i | −0.563832 | − | 0.179825i | ||||
\(40\) | −2.46865e25 | − | 4.27583e25i | −0.574777 | − | 0.995544i | ||||
\(41\) | − | 9.10766e25i | − | 1.42845i | −0.699916 | − | 0.714225i | \(-0.746779\pi\) | ||
0.699916 | − | 0.714225i | \(-0.253221\pi\) | |||||||
\(42\) | −1.20297e26 | − | 1.01140e26i | −1.28312 | − | 1.07878i | ||||
\(43\) | 5.26326e25 | 0.385265 | 0.192632 | − | 0.981271i | \(-0.438298\pi\) | ||||
0.192632 | + | 0.981271i | \(0.438298\pi\) | |||||||
\(44\) | 8.81518e25 | − | 5.08944e25i | 0.446671 | − | 0.257886i | ||||
\(45\) | −2.38271e26 | − | 2.24327e25i | −0.842694 | − | 0.0793380i | ||||
\(46\) | −2.26712e26 | + | 3.92677e26i | −0.564091 | + | 0.977035i | ||||
\(47\) | 6.86237e26 | − | 3.96199e26i | 1.21034 | − | 0.698792i | 0.247509 | − | 0.968886i | \(-0.420388\pi\) |
0.962834 | + | 0.270094i | \(0.0870548\pi\) | |||||||
\(48\) | −7.89903e25 | − | 3.61955e26i | −0.0994750 | − | 0.455821i | ||||
\(49\) | −2.80859e26 | + | 1.06812e27i | −0.254303 | + | 0.967125i | ||||
\(50\) | − | 7.25353e26i | − | 0.475367i | ||||||
\(51\) | 8.07149e25 | + | 8.86710e25i | 0.0385328 | + | 0.0423310i | ||||
\(52\) | −1.53083e27 | + | 2.65148e27i | −0.535642 | + | 0.927759i | ||||
\(53\) | 1.42358e27 | + | 8.21906e26i | 0.367256 | + | 0.212035i | 0.672259 | − | 0.740316i | \(-0.265324\pi\) |
−0.305003 | + | 0.952351i | \(0.598657\pi\) | |||||||
\(54\) | −8.06259e27 | − | 3.43361e27i | −1.54232 | − | 0.656826i | ||||
\(55\) | −1.69094e27 | −0.241171 | ||||||||
\(56\) | −1.00609e28 | + | 7.75743e27i | −1.07555 | + | 0.829296i | ||||
\(57\) | 4.31036e27 | + | 1.97513e28i | 0.347149 | + | 1.59073i | ||||
\(58\) | 5.05818e27 | + | 8.76102e27i | 0.308423 | + | 0.534204i | ||||
\(59\) | 1.27075e28 | + | 7.33665e27i | 0.589422 | + | 0.340303i | 0.764869 | − | 0.644186i | \(-0.222804\pi\) |
−0.175447 | + | 0.984489i | \(0.556137\pi\) | |||||||
\(60\) | −1.31338e28 | + | 4.11804e28i | −0.465555 | + | 1.45972i | ||||
\(61\) | −1.94877e27 | − | 3.37536e27i | −0.0530252 | − | 0.0918424i | 0.838294 | − | 0.545218i | \(-0.183553\pi\) |
−0.891320 | + | 0.453375i | \(0.850220\pi\) | |||||||
\(62\) | − | 9.08414e28i | − | 1.90553i | ||||||
\(63\) | 2.42350e27 | + | 6.15336e28i | 0.0393545 | + | 0.999225i | ||||
\(64\) | 1.13470e29 | 1.43219 | ||||||||
\(65\) | 4.40469e28 | − | 2.54305e28i | 0.433812 | − | 0.250462i | ||||
\(66\) | −5.89891e28 | − | 1.88136e28i | −0.455060 | − | 0.145134i | ||||
\(67\) | −1.10986e28 | + | 1.92234e28i | −0.0673088 | + | 0.116582i | −0.897716 | − | 0.440575i | \(-0.854775\pi\) |
0.830407 | + | 0.557157i | \(0.188108\pi\) | |||||||
\(68\) | 1.87547e28 | − | 1.08280e28i | 0.0897363 | − | 0.0518093i | ||||
\(69\) | 1.73578e29 | − | 3.78804e28i | 0.657521 | − | 0.143493i | ||||
\(70\) | 4.67364e29 | − | 6.26408e28i | 1.40633 | − | 0.188490i | ||||
\(71\) | 1.54328e29i | 0.370094i | 0.982730 | + | 0.185047i | \(0.0592438\pi\) | ||||
−0.982730 | + | 0.185047i | \(0.940756\pi\) | |||||||
\(72\) | −4.10131e29 | + | 5.77571e29i | −0.786326 | + | 1.10735i | ||||
\(73\) | 1.70828e29 | − | 2.95883e29i | 0.262660 | − | 0.454940i | −0.704288 | − | 0.709914i | \(-0.748734\pi\) |
0.966948 | + | 0.254974i | \(0.0820670\pi\) | |||||||
\(74\) | −9.29337e29 | − | 5.36553e29i | −1.14939 | − | 0.663598i | ||||
\(75\) | −2.10176e29 | + | 1.91318e29i | −0.209702 | + | 0.190887i | ||||
\(76\) | 3.65121e30 | 2.94727 | ||||||||
\(77\) | 5.77996e28 | + | 4.31244e29i | 0.0378507 | + | 0.282405i | ||||
\(78\) | 1.81954e30 | − | 3.97083e29i | 0.969278 | − | 0.211528i | ||||
\(79\) | 2.00947e30 | + | 3.48050e30i | 0.873066 | + | 1.51220i | 0.858808 | + | 0.512297i | \(0.171205\pi\) |
0.0142581 | + | 0.999898i | \(0.495461\pi\) | |||||||
\(80\) | 9.62619e29 | + | 5.55768e29i | 0.341991 | + | 0.197448i | ||||
\(81\) | 1.13167e30 | + | 3.24184e30i | 0.329578 | + | 0.944128i | ||||
\(82\) | 5.00292e30 | + | 8.66531e30i | 1.19730 | + | 2.07378i | ||||
\(83\) | 9.63928e30i | 1.90018i | 0.311974 | + | 0.950091i | \(0.399010\pi\) | ||||
−0.311974 | + | 0.950091i | \(0.600990\pi\) | |||||||
\(84\) | 1.09513e31 | + | 1.94192e30i | 1.78237 | + | 0.316055i | ||||
\(85\) | −3.59755e29 | −0.0484512 | ||||||||
\(86\) | −5.00762e30 | + | 2.89115e30i | −0.559315 | + | 0.322921i | ||||
\(87\) | 1.20443e30 | − | 3.77644e30i | 0.111808 | − | 0.350570i | ||||
\(88\) | −2.50250e30 | + | 4.33446e30i | −0.193487 | + | 0.335129i | ||||
\(89\) | −5.98441e30 | + | 3.45510e30i | −0.386173 | + | 0.222957i | −0.680500 | − | 0.732748i | \(-0.738238\pi\) |
0.294328 | + | 0.955705i | \(0.404904\pi\) | |||||||
\(90\) | 2.39020e31 | − | 1.09541e31i | 1.28990 | − | 0.591148i | ||||
\(91\) | −7.99122e30 | − | 1.03641e31i | −0.361369 | − | 0.468674i | ||||
\(92\) | − | 3.20876e31i | − | 1.21824i | ||||||
\(93\) | −2.63220e31 | + | 2.39602e31i | −0.840603 | + | 0.765179i | ||||
\(94\) | −4.35271e31 | + | 7.53912e31i | −1.17142 | + | 2.02897i | ||||
\(95\) | −5.25285e31 | − | 3.03273e31i | −1.19349 | − | 0.689059i | ||||
\(96\) | −2.01790e31 | − | 2.21681e31i | −0.387758 | − | 0.425979i | ||||
\(97\) | 7.70735e31 | 1.25475 | 0.627375 | − | 0.778717i | \(-0.284129\pi\) | ||||
0.627375 | + | 0.778717i | \(0.284129\pi\) | |||||||
\(98\) | −3.19509e31 | − | 1.17052e32i | −0.441434 | − | 1.61719i | ||||
\(99\) | 1.01075e31 | + | 2.20548e31i | 0.118708 | + | 0.259024i | ||||
\(100\) | 2.56657e31 | + | 4.44542e31i | 0.256657 | + | 0.444542i | ||||
\(101\) | 1.35043e32 | + | 7.79668e31i | 1.15167 | + | 0.664918i | 0.949294 | − | 0.314390i | \(-0.101800\pi\) |
0.202377 | + | 0.979308i | \(0.435133\pi\) | |||||||
\(102\) | −1.25502e31 | − | 4.00269e30i | −0.0914216 | − | 0.0291574i | ||||
\(103\) | −1.21426e32 | − | 2.10316e32i | −0.756686 | − | 1.31062i | −0.944532 | − | 0.328421i | \(-0.893484\pi\) |
0.187845 | − | 0.982199i | \(-0.439850\pi\) | |||||||
\(104\) | − | 1.50543e32i | − | 0.803763i | ||||||
\(105\) | −1.41422e32 | − | 1.18900e32i | −0.647870 | − | 0.544695i | ||||
\(106\) | −1.80592e32 | −0.710893 | ||||||||
\(107\) | −4.44499e31 | + | 2.56631e31i | −0.150567 | + | 0.0869300i | −0.573391 | − | 0.819282i | \(-0.694372\pi\) |
0.422824 | + | 0.906212i | \(0.361039\pi\) | |||||||
\(108\) | 6.15621e32 | − | 7.48511e31i | 1.79694 | − | 0.218483i | ||||
\(109\) | −2.63477e32 | + | 4.56355e32i | −0.663618 | + | 1.14942i | 0.316039 | + | 0.948746i | \(0.397647\pi\) |
−0.979658 | + | 0.200675i | \(0.935687\pi\) | |||||||
\(110\) | 1.60881e32 | − | 9.28846e31i | 0.350124 | − | 0.202144i | ||||
\(111\) | 8.96505e31 | + | 4.10803e32i | 0.168805 | + | 0.773510i | ||||
\(112\) | 1.08835e32 | − | 2.64497e32i | 0.177533 | − | 0.431451i | ||||
\(113\) | 6.28417e32i | 0.889186i | 0.895733 | + | 0.444593i | \(0.146652\pi\) | ||||
−0.895733 | + | 0.444593i | \(0.853348\pi\) | |||||||
\(114\) | −1.49505e33 | − | 1.64242e33i | −1.83730 | − | 2.01840i | ||||
\(115\) | −2.66523e32 | + | 4.61631e32i | −0.284819 | + | 0.493321i | ||||
\(116\) | −6.19995e32 | − | 3.57954e32i | −0.576846 | − | 0.333042i | ||||
\(117\) | −5.94977e32 | − | 4.22491e32i | −0.482533 | − | 0.342645i | ||||
\(118\) | −1.61203e33 | −1.14094 | ||||||||
\(119\) | 1.22972e31 | + | 9.17494e31i | 0.00760420 | + | 0.0567351i | ||||
\(120\) | −4.53154e32 | − | 2.07647e33i | −0.245102 | − | 1.12312i | ||||
\(121\) | −9.69983e32 | − | 1.68006e33i | −0.459408 | − | 0.795717i | ||||
\(122\) | 3.70823e32 | + | 2.14095e32i | 0.153961 | + | 0.0888892i | ||||
\(123\) | 1.19127e33 | − | 3.73518e33i | 0.434040 | − | 1.36091i | ||||
\(124\) | 3.21430e33 | + | 5.56734e33i | 1.02882 | + | 1.78197i | ||||
\(125\) | − | 3.85982e33i | − | 1.08644i | ||||||
\(126\) | −3.61067e33 | − | 5.72137e33i | −0.894663 | − | 1.41766i | ||||
\(127\) | 4.50911e33 | 0.984536 | 0.492268 | − | 0.870444i | \(-0.336168\pi\) | ||||
0.492268 | + | 0.870444i | \(0.336168\pi\) | |||||||
\(128\) | −8.20561e33 | + | 4.73751e33i | −1.58034 | + | 0.912411i | ||||
\(129\) | 2.15854e33 | + | 6.88429e32i | 0.367049 | + | 0.117064i | ||||
\(130\) | −2.79384e33 | + | 4.83907e33i | −0.419863 | + | 0.727224i | ||||
\(131\) | −2.69507e33 | + | 1.55600e33i | −0.358286 | + | 0.206856i | −0.668329 | − | 0.743866i | \(-0.732990\pi\) |
0.310043 | + | 0.950723i | \(0.399657\pi\) | |||||||
\(132\) | 4.28092e33 | − | 9.34237e32i | 0.503912 | − | 0.109970i | ||||
\(133\) | −5.93893e33 | + | 1.44331e34i | −0.619558 | + | 1.50569i | ||||
\(134\) | − | 2.43863e33i | − | 0.225667i | ||||||
\(135\) | −9.47839e33 | − | 4.03655e33i | −0.778744 | − | 0.331643i | ||||
\(136\) | −5.32419e32 | + | 9.22177e32i | −0.0388715 | + | 0.0673274i | ||||
\(137\) | −2.11096e33 | − | 1.21876e33i | −0.137073 | − | 0.0791390i | 0.429895 | − | 0.902879i | \(-0.358550\pi\) |
−0.566968 | + | 0.823740i | \(0.691884\pi\) | |||||||
\(138\) | −1.44340e34 | + | 1.31389e34i | −0.834296 | + | 0.759438i | ||||
\(139\) | 2.53249e34 | 1.30410 | 0.652049 | − | 0.758177i | \(-0.273910\pi\) | ||||
0.652049 | + | 0.758177i | \(0.273910\pi\) | |||||||
\(140\) | −2.64266e34 | + | 2.03761e34i | −1.21337 | + | 0.935561i | ||||
\(141\) | 3.33258e34 | − | 7.27277e33i | 1.36545 | − | 0.297985i | ||||
\(142\) | −8.47739e33 | − | 1.46833e34i | −0.310205 | − | 0.537291i | ||||
\(143\) | −4.46509e33 | − | 2.57792e33i | −0.146034 | − | 0.0843126i | ||||
\(144\) | 1.49483e33 | − | 1.58775e34i | 0.0437313 | − | 0.464495i | ||||
\(145\) | 5.94640e33 | + | 1.02995e34i | 0.155728 | + | 0.269728i | ||||
\(146\) | 3.75349e34i | 0.880623i | ||||||||
\(147\) | −2.54893e34 | + | 4.01315e34i | −0.536144 | + | 0.844127i | ||||
\(148\) | 7.59409e34 | 1.43314 | ||||||||
\(149\) | 9.05303e34 | − | 5.22677e34i | 1.53396 | − | 0.885631i | 0.534785 | − | 0.844988i | \(-0.320393\pi\) |
0.999174 | − | 0.0406429i | \(-0.0129406\pi\) | |||||||
\(150\) | 9.48755e33 | − | 2.97477e34i | 0.144442 | − | 0.452891i | ||||
\(151\) | −4.90265e34 | + | 8.49164e34i | −0.671120 | + | 1.16241i | 0.306467 | + | 0.951881i | \(0.400853\pi\) |
−0.977587 | + | 0.210532i | \(0.932480\pi\) | |||||||
\(152\) | −1.55479e35 | + | 8.97658e34i | −1.91502 | + | 1.10564i | ||||
\(153\) | 2.15042e33 | + | 4.69227e33i | 0.0238485 | + | 0.0520379i | ||||
\(154\) | −2.91878e34 | − | 3.78549e34i | −0.291656 | − | 0.378260i | ||||
\(155\) | − | 1.06793e35i | − | 0.962136i | ||||||
\(156\) | −9.74628e34 | + | 8.87179e34i | −0.792219 | + | 0.721137i | ||||
\(157\) | 8.32926e34 | − | 1.44267e35i | 0.611240 | − | 1.05870i | −0.379791 | − | 0.925072i | \(-0.624004\pi\) |
0.991032 | − | 0.133627i | \(-0.0426625\pi\) | |||||||
\(158\) | −3.82373e35 | − | 2.20763e35i | −2.53498 | − | 1.46357i | ||||
\(159\) | 4.76327e34 | + | 5.23278e34i | 0.285464 | + | 0.313602i | ||||
\(160\) | 8.99402e34 | 0.487567 | ||||||||
\(161\) | 1.26841e35 | + | 5.21926e34i | 0.622368 | + | 0.256091i | ||||
\(162\) | −2.85747e35 | − | 2.46275e35i | −1.26982 | − | 1.09441i | ||||
\(163\) | −1.87309e35 | − | 3.24428e35i | −0.754321 | − | 1.30652i | −0.945711 | − | 0.325009i | \(-0.894633\pi\) |
0.191390 | − | 0.981514i | \(-0.438701\pi\) | |||||||
\(164\) | −6.13221e35 | − | 3.54043e35i | −2.23932 | − | 1.29287i | ||||
\(165\) | −6.93477e34 | − | 2.21173e34i | −0.229768 | − | 0.0732806i | ||||
\(166\) | −5.29494e35 | − | 9.17110e35i | −1.59269 | − | 2.75862i | ||||
\(167\) | − | 1.18119e34i | − | 0.0322742i | −0.999870 | − | 0.0161371i | \(-0.994863\pi\) | ||
0.999870 | − | 0.0161371i | \(-0.00513683\pi\) | |||||||
\(168\) | −5.14079e35 | + | 1.86547e35i | −1.27668 | + | 0.463277i | ||||
\(169\) | −2.87699e35 | −0.649757 | ||||||||
\(170\) | 3.42282e34 | − | 1.97617e34i | 0.0703398 | − | 0.0406107i | ||||
\(171\) | −8.15704e34 | + | 8.66406e35i | −0.152614 | + | 1.62100i | ||||
\(172\) | 2.04599e35 | − | 3.54376e35i | 0.348698 | − | 0.603962i | ||||
\(173\) | −1.07211e36 | + | 6.18985e35i | −1.66534 | + | 0.961485i | −0.695243 | + | 0.718775i | \(0.744703\pi\) |
−0.970099 | + | 0.242710i | \(0.921964\pi\) | |||||||
\(174\) | 9.28497e34 | + | 4.25462e35i | 0.131520 | + | 0.602661i | ||||
\(175\) | −2.17473e35 | + | 2.91479e34i | −0.281058 | + | 0.0376703i | ||||
\(176\) | − | 1.12678e35i | − | 0.132934i | ||||||
\(177\) | 4.25188e35 | + | 4.67099e35i | 0.458151 | + | 0.503311i | ||||
\(178\) | 3.79583e35 | − | 6.57458e35i | 0.373755 | − | 0.647363i | ||||
\(179\) | −6.69789e34 | − | 3.86703e34i | −0.0602961 | − | 0.0348120i | 0.469549 | − | 0.882906i | \(-0.344417\pi\) |
−0.529845 | + | 0.848095i | \(0.677750\pi\) | |||||||
\(180\) | −1.07727e36 | + | 1.51708e36i | −0.887085 | + | 1.24925i | ||||
\(181\) | −1.19033e36 | −0.897036 | −0.448518 | − | 0.893774i | \(-0.648048\pi\) | ||||
−0.448518 | + | 0.893774i | \(0.648048\pi\) | |||||||
\(182\) | 1.32962e36 | + | 5.47111e35i | 0.917456 | + | 0.377514i | ||||
\(183\) | −3.57723e34 | − | 1.63918e35i | −0.0226115 | − | 0.103612i | ||||
\(184\) | 7.88881e35 | + | 1.36638e36i | 0.457011 | + | 0.791566i | ||||
\(185\) | −1.09253e36 | − | 6.30773e35i | −0.580344 | − | 0.335062i | ||||
\(186\) | 1.18820e36 | − | 3.72553e36i | 0.579003 | − | 1.81544i | ||||
\(187\) | 1.82344e34 | + | 3.15829e34i | 0.00815503 | + | 0.0141249i | ||||
\(188\) | − | 6.16060e36i | − | 2.52987i | ||||||
\(189\) | −7.05462e35 | + | 2.55528e36i | −0.266125 | + | 0.963939i | ||||
\(190\) | 6.66362e36 | 2.31022 | ||||||||
\(191\) | −1.69641e36 | + | 9.79422e35i | −0.540750 | + | 0.312202i | −0.745383 | − | 0.666637i | \(-0.767733\pi\) |
0.204633 | + | 0.978839i | \(0.434400\pi\) | |||||||
\(192\) | 4.65355e36 | + | 1.48417e36i | 1.36447 | + | 0.435175i | ||||
\(193\) | 1.01493e36 | − | 1.75790e36i | 0.273853 | − | 0.474328i | −0.695992 | − | 0.718050i | \(-0.745035\pi\) |
0.969845 | + | 0.243722i | \(0.0783684\pi\) | |||||||
\(194\) | −7.33301e36 | + | 4.23371e36i | −1.82161 | + | 1.05170i | ||||
\(195\) | 2.13906e36 | − | 4.66811e35i | 0.489405 | − | 0.106804i | ||||
\(196\) | 6.09988e36 | + | 6.04315e36i | 1.28595 | + | 1.27399i | ||||
\(197\) | − | 5.88573e36i | − | 1.14377i | −0.820332 | − | 0.571887i | \(-0.806211\pi\) | ||
0.820332 | − | 0.571887i | \(-0.193789\pi\) | |||||||
\(198\) | −2.17315e36 | − | 1.54314e36i | −0.389445 | − | 0.276544i | ||||
\(199\) | −3.44660e36 | + | 5.96968e36i | −0.569825 | + | 0.986965i | 0.426758 | + | 0.904366i | \(0.359656\pi\) |
−0.996583 | + | 0.0825996i | \(0.973678\pi\) | |||||||
\(200\) | −2.18583e36 | − | 1.26199e36i | −0.333531 | − | 0.192564i | ||||
\(201\) | −7.06610e35 | + | 6.43209e35i | −0.0995504 | + | 0.0906181i | ||||
\(202\) | −1.71311e37 | −2.22928 | ||||||||
\(203\) | 2.42344e36 | − | 1.86858e36i | 0.291404 | − | 0.224686i | ||||
\(204\) | 9.10788e35 | − | 1.98763e35i | 0.101236 | − | 0.0220930i | ||||
\(205\) | 5.88144e36 | + | 1.01869e37i | 0.604535 | + | 1.04709i | ||||
\(206\) | 2.31057e37 | + | 1.33401e37i | 2.19707 | + | 1.26848i | ||||
\(207\) | 7.61416e36 | + | 7.16858e35i | 0.670034 | + | 0.0630823i | ||||
\(208\) | 1.69459e36 | + | 2.93512e36i | 0.138055 | + | 0.239118i | ||||
\(209\) | 6.14863e36i | 0.463914i | ||||||||
\(210\) | 1.99866e37 | + | 3.54409e36i | 1.39711 | + | 0.247740i | ||||
\(211\) | 4.96907e36 | 0.321926 | 0.160963 | − | 0.986960i | \(-0.448540\pi\) | ||||
0.160963 | + | 0.986960i | \(0.448540\pi\) | |||||||
\(212\) | 1.10678e37 | − | 6.39001e36i | 0.664796 | − | 0.383820i | ||||
\(213\) | −2.01860e36 | + | 6.32923e36i | −0.112455 | + | 0.352596i | ||||
\(214\) | 2.81940e36 | − | 4.88334e36i | 0.145726 | − | 0.252404i | ||||
\(215\) | −5.88697e36 | + | 3.39884e36i | −0.282408 | + | 0.163048i | ||||
\(216\) | −2.43746e37 | + | 1.83225e37i | −1.08562 | + | 0.816066i | ||||
\(217\) | −2.72358e37 | + | 3.65041e36i | −1.12664 | + | 0.151003i | ||||
\(218\) | − | 5.78920e37i | − | 2.22492i | ||||||
\(219\) | 1.08760e37 | − | 9.90016e36i | 0.388476 | − | 0.353620i | ||||
\(220\) | −6.57320e36 | + | 1.13851e37i | −0.218280 | + | 0.378072i | ||||
\(221\) | −9.49970e35 | − | 5.48465e35i | −0.0293382 | − | 0.0169384i | ||||
\(222\) | −3.10954e37 | − | 3.41604e37i | −0.893405 | − | 0.981468i | ||||
\(223\) | 2.73018e36 | 0.0729984 | 0.0364992 | − | 0.999334i | \(-0.488379\pi\) | ||||
0.0364992 | + | 0.999334i | \(0.488379\pi\) | |||||||
\(224\) | −3.07434e36 | − | 2.29377e37i | −0.0765215 | − | 0.570928i | ||||
\(225\) | −1.11221e37 | + | 5.09714e36i | −0.257789 | + | 0.118142i | ||||
\(226\) | −3.45195e37 | − | 5.97895e37i | −0.745296 | − | 1.29089i | ||||
\(227\) | −5.47266e37 | − | 3.15964e37i | −1.10099 | − | 0.635659i | −0.164512 | − | 0.986375i | \(-0.552605\pi\) |
−0.936482 | + | 0.350716i | \(0.885938\pi\) | |||||||
\(228\) | 1.49741e38 | + | 4.77575e37i | 2.80792 | + | 0.895538i | ||||
\(229\) | 1.19282e37 | + | 2.06602e37i | 0.208548 | + | 0.361216i | 0.951257 | − | 0.308398i | \(-0.0997929\pi\) |
−0.742709 | + | 0.669614i | \(0.766460\pi\) | |||||||
\(230\) | − | 5.85614e37i | − | 0.954917i | ||||||
\(231\) | −3.27019e36 | + | 1.84419e37i | −0.0497486 | + | 0.280553i | ||||
\(232\) | 3.52015e37 | 0.499750 | ||||||||
\(233\) | 6.10394e37 | − | 3.52411e37i | 0.808938 | − | 0.467041i | −0.0376488 | − | 0.999291i | \(-0.511987\pi\) |
0.846587 | + | 0.532250i | \(0.178653\pi\) | |||||||
\(234\) | 7.98158e37 | + | 7.51449e36i | 0.987723 | + | 0.0929921i | ||||
\(235\) | −5.11705e37 | + | 8.86299e37i | −0.591472 | + | 1.02446i | ||||
\(236\) | 9.87957e37 | − | 5.70397e37i | 1.06696 | − | 0.616007i | ||||
\(237\) | 3.68865e37 | + | 1.69024e38i | 0.372301 | + | 1.70598i | ||||
\(238\) | −6.20986e36 | − | 8.05382e36i | −0.0585936 | − | 0.0759925i | ||||
\(239\) | − | 1.58728e38i | − | 1.40051i | −0.713893 | − | 0.700255i | \(-0.753070\pi\) | ||
0.713893 | − | 0.700255i | \(-0.246930\pi\) | |||||||
\(240\) | 3.22090e37 | + | 3.53838e37i | 0.265826 | + | 0.292028i | ||||
\(241\) | 9.25986e37 | − | 1.60386e38i | 0.715042 | − | 1.23849i | −0.247901 | − | 0.968785i | \(-0.579741\pi\) |
0.962943 | − | 0.269704i | \(-0.0869260\pi\) | |||||||
\(242\) | 1.84574e38 | + | 1.06564e38i | 1.33391 | + | 0.770131i | ||||
\(243\) | 4.00826e36 | + | 1.47754e38i | 0.0271179 | + | 0.999632i | ||||
\(244\) | −3.03019e37 | −0.191970 | ||||||||
\(245\) | −3.75615e37 | − | 1.37606e38i | −0.222888 | − | 0.816547i | ||||
\(246\) | 9.18353e37 | + | 4.20814e38i | 0.510561 | + | 2.33953i | ||||
\(247\) | −9.24711e37 | − | 1.60165e38i | −0.481787 | − | 0.834479i | ||||
\(248\) | −2.73748e38 | − | 1.58049e38i | −1.33698 | − | 0.771904i | ||||
\(249\) | −1.26081e38 | + | 3.95320e38i | −0.577377 | + | 1.81034i | ||||
\(250\) | 2.12023e38 | + | 3.67235e38i | 0.910632 | + | 1.57726i | ||||
\(251\) | 1.14611e38i | 0.461792i | 0.972978 | + | 0.230896i | \(0.0741657\pi\) | ||||
−0.972978 | + | 0.230896i | \(0.925834\pi\) | |||||||
\(252\) | 4.23728e38 | + | 2.22883e38i | 1.60206 | + | 0.842690i | ||||
\(253\) | 5.40355e37 | 0.191757 | ||||||||
\(254\) | −4.29011e38 | + | 2.47689e38i | −1.42932 | + | 0.825216i | ||||
\(255\) | −1.47541e37 | − | 4.70556e36i | −0.0461603 | − | 0.0147221i | ||||
\(256\) | 2.76797e38 | − | 4.79426e38i | 0.813433 | − | 1.40891i | ||||
\(257\) | −3.17237e38 | + | 1.83157e38i | −0.875898 | + | 0.505700i | −0.869304 | − | 0.494279i | \(-0.835432\pi\) |
−0.00659396 | + | 0.999978i | \(0.502099\pi\) | |||||||
\(258\) | −2.43186e38 | + | 5.30710e37i | −0.630990 | + | 0.137703i | ||||
\(259\) | −1.23523e38 | + | 3.00192e38i | −0.301266 | + | 0.732155i | ||||
\(260\) | − | 3.95425e38i | − | 0.906757i | ||||||
\(261\) | 9.87909e37 | − | 1.39123e38i | 0.213044 | − | 0.300021i | ||||
\(262\) | 1.70945e38 | − | 2.96085e38i | 0.346765 | − | 0.600615i | ||||
\(263\) | 2.54825e38 | + | 1.47123e38i | 0.486352 | + | 0.280795i | 0.723060 | − | 0.690786i | \(-0.242735\pi\) |
−0.236708 | + | 0.971581i | \(0.576068\pi\) | |||||||
\(264\) | −1.59325e38 | + | 1.45030e38i | −0.286169 | + | 0.260492i | ||||
\(265\) | −2.12304e38 | −0.358942 | ||||||||
\(266\) | −2.27776e38 | − | 1.69944e39i | −0.362579 | − | 2.70520i | ||||
\(267\) | −2.90622e38 | + | 6.34231e37i | −0.435660 | + | 0.0950752i | ||||
\(268\) | 8.62876e37 | + | 1.49455e38i | 0.121841 | + | 0.211034i | ||||
\(269\) | −1.13963e39 | − | 6.57963e38i | −1.51609 | − | 0.875316i | −0.999822 | − | 0.0188903i | \(-0.993987\pi\) |
−0.516270 | − | 0.856426i | \(-0.672680\pi\) | |||||||
\(270\) | 1.12353e39 | − | 1.36606e38i | 1.40853 | − | 0.171258i | ||||
\(271\) | −1.31654e38 | − | 2.28032e38i | −0.155570 | − | 0.269455i | 0.777696 | − | 0.628640i | \(-0.216388\pi\) |
−0.933266 | + | 0.359185i | \(0.883055\pi\) | |||||||
\(272\) | − | 2.39727e37i | − | 0.0267064i | ||||||
\(273\) | −1.92169e38 | − | 5.29573e38i | −0.201875 | − | 0.556318i | ||||
\(274\) | 2.67791e38 | 0.265330 | ||||||||
\(275\) | −7.48608e37 | + | 4.32209e37i | −0.0699731 | + | 0.0403990i | ||||
\(276\) | 4.19703e38 | − | 1.31596e39i | 0.370167 | − | 1.16064i | ||||
\(277\) | −4.21488e38 | + | 7.30038e38i | −0.350840 | + | 0.607672i | −0.986397 | − | 0.164382i | \(-0.947437\pi\) |
0.635557 | + | 0.772054i | \(0.280770\pi\) | |||||||
\(278\) | −2.40948e39 | + | 1.39112e39i | −1.89325 | + | 1.09307i | ||||
\(279\) | −1.39290e39 | + | 6.38353e38i | −1.03336 | + | 0.473580i | ||||
\(280\) | 6.24367e38 | − | 1.51737e39i | 0.437433 | − | 1.06308i | ||||
\(281\) | 4.49511e38i | 0.297467i | 0.988877 | + | 0.148734i | \(0.0475197\pi\) | ||||
−0.988877 | + | 0.148734i | \(0.952480\pi\) | |||||||
\(282\) | −2.77122e39 | + | 2.52257e39i | −1.73255 | + | 1.57709i | ||||
\(283\) | −6.00493e38 | + | 1.04009e39i | −0.354752 | + | 0.614449i | −0.987076 | − | 0.160256i | \(-0.948768\pi\) |
0.632323 | + | 0.774705i | \(0.282101\pi\) | |||||||
\(284\) | 1.03910e39 | + | 5.99923e38i | 0.580180 | + | 0.334967i | ||||
\(285\) | −1.75759e39 | − | 1.93083e39i | −0.927682 | − | 1.01912i | ||||
\(286\) | 5.66429e38 | 0.282676 | ||||||||
\(287\) | 2.39697e39 | − | 1.84817e39i | 1.13123 | − | 0.872231i | ||||
\(288\) | −5.37614e38 | − | 1.17308e39i | −0.239989 | − | 0.523660i | ||||
\(289\) | −1.18008e39 | − | 2.04395e39i | −0.498362 | − | 0.863188i | ||||
\(290\) | −1.13152e39 | − | 6.53282e38i | −0.452161 | − | 0.261055i | ||||
\(291\) | 3.16089e39 | + | 1.00811e39i | 1.19542 | + | 0.381261i | ||||
\(292\) | −1.32812e39 | − | 2.30038e39i | −0.475459 | − | 0.823519i | ||||
\(293\) | − | 3.75189e38i | − | 0.127165i | −0.997977 | − | 0.0635826i | \(-0.979747\pi\) | ||
0.997977 | − | 0.0635826i | \(-0.0202526\pi\) | |||||||
\(294\) | 2.20677e38 | − | 5.21838e39i | 0.0708270 | − | 1.67486i | ||||
\(295\) | −1.89511e39 | −0.576079 | ||||||||
\(296\) | −3.23378e39 | + | 1.86702e39i | −0.931200 | + | 0.537628i | ||||
\(297\) | 1.26049e38 | + | 1.03670e39i | 0.0343903 | + | 0.282847i | ||||
\(298\) | −5.74222e39 | + | 9.94581e39i | −1.48463 | + | 2.57146i | ||||
\(299\) | −1.40756e39 | + | 8.12656e38i | −0.344928 | + | 0.199144i | ||||
\(300\) | 4.71128e38 | + | 2.15884e39i | 0.109446 | + | 0.501510i | ||||
\(301\) | 1.06804e39 | + | 1.38519e39i | 0.235248 | + | 0.305102i | ||||
\(302\) | − | 1.07723e40i | − | 2.25007i | ||||||
\(303\) | 4.51849e39 | + | 4.96387e39i | 0.895181 | + | 0.983419i | ||||
\(304\) | 2.02090e39 | − | 3.50030e39i | 0.379811 | − | 0.657852i | ||||
\(305\) | 4.35940e38 | + | 2.51690e38i | 0.0777373 | + | 0.0448817i | ||||
\(306\) | −4.62348e38 | − | 3.28312e38i | −0.0782395 | − | 0.0555576i | ||||
\(307\) | −2.55617e39 | −0.410559 | −0.205280 | − | 0.978703i | \(-0.565810\pi\) | ||||
−0.205280 | + | 0.978703i | \(0.565810\pi\) | |||||||
\(308\) | 3.12826e39 | + | 1.28721e39i | 0.476971 | + | 0.196264i | ||||
\(309\) | −2.22894e39 | − | 1.02136e40i | −0.322673 | − | 1.47857i | ||||
\(310\) | 5.86624e39 | + | 1.01606e40i | 0.806442 | + | 1.39680i | ||||
\(311\) | −3.16646e39 | − | 1.82815e39i | −0.413435 | − | 0.238697i | 0.278830 | − | 0.960341i | \(-0.410054\pi\) |
−0.692265 | + | 0.721644i | \(0.743387\pi\) | |||||||
\(312\) | 1.96909e39 | − | 6.17400e39i | 0.244226 | − | 0.765760i | ||||
\(313\) | 3.58438e38 | + | 6.20833e38i | 0.0422382 | + | 0.0731586i | 0.886372 | − | 0.462974i | \(-0.153218\pi\) |
−0.844133 | + | 0.536133i | \(0.819885\pi\) | |||||||
\(314\) | 1.83013e40i | 2.04931i | ||||||||
\(315\) | −4.24471e39 | − | 6.72605e39i | −0.451730 | − | 0.715799i | ||||
\(316\) | 3.12457e40 | 3.16080 | ||||||||
\(317\) | −1.38375e39 | + | 7.98910e38i | −0.133079 | + | 0.0768333i | −0.565062 | − | 0.825049i | \(-0.691148\pi\) |
0.431982 | + | 0.901882i | \(0.357814\pi\) | |||||||
\(318\) | −7.40633e39 | − | 2.36213e39i | −0.677281 | − | 0.216008i | ||||
\(319\) | 6.02793e38 | − | 1.04407e39i | 0.0524225 | − | 0.0907984i | ||||
\(320\) | −1.26916e40 | + | 7.32750e39i | −1.04982 | + | 0.606116i | ||||
\(321\) | −2.15862e39 | + | 4.71082e38i | −0.169862 | + | 0.0370694i | ||||
\(322\) | −1.49351e40 | + | 2.00175e39i | −1.11818 | + | 0.149870i | ||||
\(323\) | 1.30815e39i | 0.0932004i | ||||||||
\(324\) | 2.62265e40 | + | 4.98251e39i | 1.77836 | + | 0.337853i | ||||
\(325\) | 1.30002e39 | − | 2.25171e39i | 0.0839108 | − | 0.145338i | ||||
\(326\) | 3.56422e40 | + | 2.05781e40i | 2.19020 | + | 1.26451i | ||||
\(327\) | −1.67746e40 | + | 1.52695e40i | −0.981498 | + | 0.893432i | ||||
\(328\) | 3.48169e40 | 1.94003 | ||||||||
\(329\) | 2.43527e40 | + | 1.00206e40i | 1.29244 | + | 0.531814i | ||||
\(330\) | 7.81287e39 | − | 1.70502e39i | 0.394991 | − | 0.0862000i | ||||
\(331\) | −1.11169e40 | − | 1.92551e40i | −0.535472 | − | 0.927465i | −0.999140 | − | 0.0414563i | \(-0.986800\pi\) |
0.463668 | − | 0.886009i | \(-0.346533\pi\) | |||||||
\(332\) | 6.49015e40 | + | 3.74709e40i | 2.97883 | + | 1.71983i | ||||
\(333\) | −1.69657e39 | + | 1.80202e40i | −0.0742102 | + | 0.788229i | ||||
\(334\) | 6.48837e38 | + | 1.12382e39i | 0.0270516 | + | 0.0468547i | ||||
\(335\) | − | 2.86685e39i | − | 0.113943i | ||||||
\(336\) | 7.92306e39 | − | 9.42383e39i | 0.300237 | − | 0.357107i | ||||
\(337\) | −3.88757e40 | −1.40475 | −0.702376 | − | 0.711806i | \(-0.747878\pi\) | ||||
−0.702376 | + | 0.711806i | \(0.747878\pi\) | |||||||
\(338\) | 2.73725e40 | − | 1.58035e40i | 0.943296 | − | 0.544612i | ||||
\(339\) | −8.21963e39 | + | 2.57723e40i | −0.270182 | + | 0.847144i | ||||
\(340\) | −1.39848e39 | + | 2.42224e39i | −0.0438525 | + | 0.0759547i | ||||
\(341\) | −9.37538e39 | + | 5.41288e39i | −0.280491 | + | 0.161941i | ||||
\(342\) | −3.98316e40 | − | 8.69132e40i | −1.13713 | − | 2.48124i | ||||
\(343\) | −3.38102e40 | + | 1.42831e40i | −0.921175 | + | 0.389149i | ||||
\(344\) | 2.01205e40i | 0.523242i | ||||||||
\(345\) | −1.69686e40 | + | 1.54461e40i | −0.421250 | + | 0.383453i | ||||
\(346\) | 6.80028e40 | − | 1.17784e41i | 1.61179 | − | 2.79171i | ||||
\(347\) | −6.03007e40 | − | 3.48146e40i | −1.36474 | − | 0.787935i | −0.374492 | − | 0.927230i | \(-0.622183\pi\) |
−0.990251 | + | 0.139295i | \(0.955516\pi\) | |||||||
\(348\) | −2.07449e40 | − | 2.27897e40i | −0.448376 | − | 0.492573i | ||||
\(349\) | −4.64694e40 | −0.959313 | −0.479657 | − | 0.877456i | \(-0.659239\pi\) | ||||
−0.479657 | + | 0.877456i | \(0.659239\pi\) | |||||||
\(350\) | 1.90899e40 | − | 1.47192e40i | 0.376457 | − | 0.290265i | ||||
\(351\) | −1.88747e40 | − | 2.51092e40i | −0.355604 | − | 0.473063i | ||||
\(352\) | −4.55867e39 | − | 7.89585e39i | −0.0820645 | − | 0.142140i | ||||
\(353\) | 3.06553e40 | + | 1.76989e40i | 0.527365 | + | 0.304474i | 0.739943 | − | 0.672670i | \(-0.234853\pi\) |
−0.212578 | + | 0.977144i | \(0.568186\pi\) | |||||||
\(354\) | −6.61118e40 | − | 2.10853e40i | −1.08699 | − | 0.346678i | ||||
\(355\) | −9.96604e39 | − | 1.72617e40i | −0.156628 | − | 0.271287i | ||||
\(356\) | 5.37243e40i | 0.807180i | ||||||||
\(357\) | −6.95749e38 | + | 3.92362e39i | −0.00999450 | + | 0.0563631i | ||||
\(358\) | 8.49676e39 | 0.116715 | ||||||||
\(359\) | −3.87478e40 | + | 2.23711e40i | −0.509022 | + | 0.293884i | −0.732431 | − | 0.680841i | \(-0.761615\pi\) |
0.223410 | + | 0.974725i | \(0.428281\pi\) | |||||||
\(360\) | 8.57560e39 | − | 9.10864e40i | 0.107752 | − | 1.14449i | ||||
\(361\) | −6.86778e40 | + | 1.18954e41i | −0.825470 | + | 1.42976i | ||||
\(362\) | 1.13252e41 | − | 6.53858e40i | 1.30229 | − | 0.751876i | ||||
\(363\) | −1.78053e40 | − | 8.15889e40i | −0.195905 | − | 0.897687i | ||||
\(364\) | −1.00846e41 | + | 1.35164e40i | −1.06179 | + | 0.142312i | ||||
\(365\) | 4.41261e40i | 0.444641i | ||||||||
\(366\) | 1.24076e40 | + | 1.36307e40i | 0.119672 | + | 0.131468i | ||||
\(367\) | −6.36003e40 | + | 1.10159e41i | −0.587222 | + | 1.01710i | 0.407372 | + | 0.913262i | \(0.366445\pi\) |
−0.994594 | + | 0.103836i | \(0.966888\pi\) | |||||||
\(368\) | −3.07614e40 | − | 1.77601e40i | −0.271920 | − | 0.156993i | ||||
\(369\) | 9.77117e40 | − | 1.37603e41i | 0.827036 | − | 1.16468i | ||||
\(370\) | 1.38596e41 | 1.12337 | ||||||||
\(371\) | 7.25699e39 | + | 5.41445e40i | 0.0563344 | + | 0.420312i | ||||
\(372\) | 5.90029e40 | + | 2.70367e41i | 0.438719 | + | 2.01033i | ||||
\(373\) | 1.19268e41 | + | 2.06578e41i | 0.849536 | + | 1.47144i | 0.881623 | + | 0.471955i | \(0.156452\pi\) |
−0.0320861 | + | 0.999485i | \(0.510215\pi\) | |||||||
\(374\) | −3.46975e39 | − | 2.00326e39i | −0.0236784 | − | 0.0136707i | ||||
\(375\) | 5.04860e40 | − | 1.58297e41i | 0.330119 | − | 1.03507i | ||||
\(376\) | 1.51460e41 | + | 2.62336e41i | 0.949054 | + | 1.64381i | ||||
\(377\) | 3.62624e40i | 0.217768i | ||||||||
\(378\) | −7.32438e40 | − | 2.81869e41i | −0.421601 | − | 1.62247i | ||||
\(379\) | 8.45835e40 | 0.466722 | 0.233361 | − | 0.972390i | \(-0.425028\pi\) | ||||
0.233361 | + | 0.972390i | \(0.425028\pi\) | |||||||
\(380\) | −4.08389e41 | + | 2.35784e41i | −2.16041 | + | 1.24731i | ||||
\(381\) | 1.84925e41 | + | 5.89788e40i | 0.937986 | + | 0.299155i | ||||
\(382\) | 1.07601e41 | − | 1.86370e41i | 0.523362 | − | 0.906490i | ||||
\(383\) | 1.05893e41 | − | 6.11372e40i | 0.493954 | − | 0.285184i | −0.232260 | − | 0.972654i | \(-0.574612\pi\) |
0.726213 | + | 0.687470i | \(0.241279\pi\) | |||||||
\(384\) | −3.98490e41 | + | 8.69634e40i | −1.78286 | + | 0.389078i | ||||
\(385\) | −3.43133e40 | − | 4.45023e40i | −0.147262 | − | 0.190990i | ||||
\(386\) | 2.23003e41i | 0.918151i | ||||||||
\(387\) | 7.95201e40 | + | 5.64669e40i | 0.314124 | + | 0.223058i | ||||
\(388\) | 2.99609e41 | − | 5.18938e41i | 1.13566 | − | 1.96701i | ||||
\(389\) | −4.39387e41 | − | 2.53680e41i | −1.59828 | − | 0.922769i | −0.991818 | − | 0.127660i | \(-0.959254\pi\) |
−0.606465 | − | 0.795110i | \(-0.707413\pi\) | |||||||
\(390\) | −1.77874e41 | + | 1.61914e41i | −0.620981 | + | 0.565263i | ||||
\(391\) | 1.14963e40 | 0.0385240 | ||||||||
\(392\) | −4.08322e41 | − | 1.07367e41i | −1.31349 | − | 0.345378i | ||||
\(393\) | −1.30881e41 | + | 2.85625e40i | −0.404200 | + | 0.0882095i | ||||
\(394\) | 3.23308e41 | + | 5.59986e41i | 0.958687 | + | 1.66049i | ||||
\(395\) | −4.49519e41 | − | 2.59530e41i | −1.27995 | − | 0.738982i | ||||
\(396\) | 1.87786e41 | + | 1.76797e40i | 0.513501 | + | 0.0483451i | ||||
\(397\) | 3.49385e41 | + | 6.05153e41i | 0.917607 | + | 1.58934i | 0.803040 | + | 0.595926i | \(0.203215\pi\) |
0.114567 | + | 0.993416i | \(0.463452\pi\) | |||||||
\(398\) | − | 7.57298e41i | − | 1.91046i | ||||||
\(399\) | −4.32348e41 | + | 5.14242e41i | −1.04777 | + | 1.24624i | ||||
\(400\) | 5.68225e40 | 0.132300 | ||||||||
\(401\) | 3.72085e41 | − | 2.14823e41i | 0.832399 | − | 0.480586i | −0.0222741 | − | 0.999752i | \(-0.507091\pi\) |
0.854674 | + | 0.519166i | \(0.173757\pi\) | |||||||
\(402\) | 3.18970e40 | − | 1.00012e41i | 0.0685698 | − | 0.214997i | ||||
\(403\) | 1.62812e41 | − | 2.81998e41i | 0.336361 | − | 0.582594i | ||||
\(404\) | 1.04991e42 | − | 6.06163e41i | 2.08472 | − | 1.20362i | ||||
\(405\) | −3.35925e41 | − | 2.89521e41i | −0.641153 | − | 0.552586i | ||||
\(406\) | −1.27931e41 | + | 3.10904e41i | −0.234724 | + | 0.570441i | ||||
\(407\) | 1.27884e41i | 0.225583i | ||||||||
\(408\) | −3.38973e40 | + | 3.08558e40i | −0.0574913 | + | 0.0523328i | ||||
\(409\) | 2.34907e41 | − | 4.06870e41i | 0.383109 | − | 0.663564i | −0.608396 | − | 0.793634i | \(-0.708187\pi\) |
0.991505 | + | 0.130069i | \(0.0415200\pi\) | |||||||
\(410\) | −1.11916e42 | − | 6.46145e41i | −1.75529 | − | 1.01342i | ||||
\(411\) | −7.06322e40 | − | 7.75944e40i | −0.106545 | − | 0.117047i | ||||
\(412\) | −1.88808e42 | −2.73946 | ||||||||
\(413\) | 6.47787e40 | + | 4.83315e41i | 0.0904131 | + | 0.674574i | ||||
\(414\) | −7.63812e41 | + | 3.50048e41i | −1.02561 | + | 0.470027i | ||||
\(415\) | −6.22474e41 | − | 1.07816e42i | −0.804176 | − | 1.39287i | ||||
\(416\) | 2.37496e41 | + | 1.37118e41i | 0.295232 | + | 0.170452i | ||||
\(417\) | 1.03861e42 | + | 3.31247e41i | 1.24244 | + | 0.396255i | ||||
\(418\) | −3.37750e41 | − | 5.84999e41i | −0.388843 | − | 0.673496i | ||||
\(419\) | 8.08944e41i | 0.896384i | 0.893937 | + | 0.448192i | \(0.147932\pi\) | ||||
−0.893937 | + | 0.448192i | \(0.852068\pi\) | |||||||
\(420\) | −1.35031e42 | + | 4.89995e41i | −1.44027 | + | 0.522641i | ||||
\(421\) | −3.52352e40 | −0.0361795 | −0.0180898 | − | 0.999836i | \(-0.505758\pi\) | ||||
−0.0180898 | + | 0.999836i | \(0.505758\pi\) | |||||||
\(422\) | −4.72773e41 | + | 2.72955e41i | −0.467362 | + | 0.269831i | ||||
\(423\) | 1.46187e42 | + | 1.37632e41i | 1.39143 | + | 0.131000i | ||||
\(424\) | −3.14199e41 | + | 5.44209e41i | −0.287973 | + | 0.498783i | ||||
\(425\) | −1.59270e40 | + | 9.19546e39i | −0.0140576 | + | 0.00811616i | ||||
\(426\) | −1.55614e41 | − | 7.13065e41i | −0.132280 | − | 0.606144i | ||||
\(427\) | 4.92879e40 | − | 1.19782e41i | 0.0403548 | − | 0.0980724i | ||||
\(428\) | 3.99043e41i | 0.314716i | ||||||||
\(429\) | −1.49401e41 | − | 1.64127e41i | −0.113510 | − | 0.124699i | ||||
\(430\) | 3.73403e41 | − | 6.46752e41i | 0.273327 | − | 0.473416i | ||||
\(431\) | −2.03721e42 | − | 1.17618e42i | −1.43681 | − | 0.829543i | −0.439184 | − | 0.898397i | \(-0.644732\pi\) |
−0.997627 | + | 0.0688542i | \(0.978066\pi\) | |||||||
\(432\) | 2.68981e41 | − | 6.31605e41i | 0.182802 | − | 0.429245i | ||||
\(433\) | 2.99971e42 | 1.96459 | 0.982296 | − | 0.187333i | \(-0.0599844\pi\) | ||||
0.982296 | + | 0.187333i | \(0.0599844\pi\) | |||||||
\(434\) | 2.39077e42 | − | 1.84340e42i | 1.50905 | − | 1.16354i | ||||
\(435\) | 1.09154e41 | + | 5.00174e41i | 0.0664068 | + | 0.304294i | ||||
\(436\) | 2.04843e42 | + | 3.54799e42i | 1.20126 | + | 2.08065i | ||||
\(437\) | 1.67860e42 | + | 9.69139e41i | 0.948951 | + | 0.547877i | ||||
\(438\) | −4.90953e41 | + | 1.53936e42i | −0.267580 | + | 0.838986i | ||||
\(439\) | −1.17499e42 | − | 2.03514e42i | −0.617451 | − | 1.06946i | −0.989949 | − | 0.141423i | \(-0.954832\pi\) |
0.372499 | − | 0.928033i | \(-0.378501\pi\) | |||||||
\(440\) | − | 6.46413e41i | − | 0.327542i | ||||||
\(441\) | −1.57027e42 | + | 1.31245e42i | −0.767285 | + | 0.641306i | ||||
\(442\) | 1.20511e41 | 0.0567896 | ||||||||
\(443\) | 4.02839e41 | − | 2.32579e41i | 0.183093 | − | 0.105709i | −0.405652 | − | 0.914028i | \(-0.632955\pi\) |
0.588745 | + | 0.808319i | \(0.299622\pi\) | |||||||
\(444\) | 3.11445e42 | + | 9.93300e41i | 1.36538 | + | 0.435465i | ||||
\(445\) | 4.46239e41 | − | 7.72908e41i | 0.188715 | − | 0.326865i | ||||
\(446\) | −2.59758e41 | + | 1.49971e41i | −0.105977 | + | 0.0611857i | ||||
\(447\) | 4.39643e42 | − | 9.59444e41i | 1.73053 | − | 0.377659i | ||||
\(448\) | 2.30258e42 | + | 2.98630e42i | 0.874512 | + | 1.13419i | ||||
\(449\) | − | 4.21213e42i | − | 1.54369i | −0.635810 | − | 0.771845i | \(-0.719334\pi\) | ||
0.635810 | − | 0.771845i | \(-0.280666\pi\) | |||||||
\(450\) | 7.78195e41 | − | 1.09590e42i | 0.275225 | − | 0.387589i | ||||
\(451\) | 5.96208e41 | − | 1.03266e42i | 0.203504 | − | 0.352479i | ||||
\(452\) | 4.23114e42 | + | 2.44285e42i | 1.39394 | + | 0.804789i | ||||
\(453\) | −3.12135e42 | + | 2.84128e42i | −0.992592 | + | 0.903531i | ||||
\(454\) | 6.94248e42 | 2.13118 | ||||||||
\(455\) | 1.56310e42 | + | 6.43185e41i | 0.463239 | + | 0.190613i | ||||
\(456\) | −7.55054e42 | + | 1.64777e42i | −2.16043 | + | 0.471476i | ||||
\(457\) | 1.93465e42 | + | 3.35091e42i | 0.534494 | + | 0.925771i | 0.999188 | + | 0.0402995i | \(0.0128312\pi\) |
−0.464693 | + | 0.885472i | \(0.653835\pi\) | |||||||
\(458\) | −2.26976e42 | − | 1.31045e42i | −0.605526 | − | 0.349601i | ||||
\(459\) | 2.68175e40 | + | 2.20564e41i | 0.00690901 | + | 0.0568239i | ||||
\(460\) | 2.07212e42 | + | 3.58901e42i | 0.515572 | + | 0.892996i | ||||
\(461\) | 3.04122e42i | 0.730857i | 0.930839 | + | 0.365429i | \(0.119078\pi\) | ||||
−0.930839 | + | 0.365429i | \(0.880922\pi\) | |||||||
\(462\) | −7.01896e41 | − | 1.93426e42i | −0.162930 | − | 0.448996i | ||||
\(463\) | 3.11184e42 | 0.697785 | 0.348892 | − | 0.937163i | \(-0.386558\pi\) | ||||
0.348892 | + | 0.937163i | \(0.386558\pi\) | |||||||
\(464\) | −6.86318e41 | + | 3.96246e41i | −0.148675 | + | 0.0858375i | ||||
\(465\) | 1.39685e42 | − | 4.37974e42i | 0.292349 | − | 0.916645i | ||||
\(466\) | −3.87165e42 | + | 6.70589e42i | −0.782927 | + | 1.35607i | ||||
\(467\) | −2.81363e42 | + | 1.62445e42i | −0.549790 | + | 0.317421i | −0.749037 | − | 0.662528i | \(-0.769484\pi\) |
0.199247 | + | 0.979949i | \(0.436150\pi\) | |||||||
\(468\) | −5.15751e42 | + | 2.36364e42i | −0.973882 | + | 0.446322i | ||||
\(469\) | −7.31141e41 | + | 9.79948e40i | −0.133425 | + | 0.0178829i | ||||
\(470\) | − | 1.12434e43i | − | 1.98304i | ||||||
\(471\) | 5.30295e42 | − | 4.82714e42i | 0.904030 | − | 0.822915i | ||||
\(472\) | −2.80467e42 | + | 4.85782e42i | −0.462178 | + | 0.800516i | ||||
\(473\) | 5.96769e41 | + | 3.44545e41i | 0.0950666 | + | 0.0548867i | ||||
\(474\) | −1.27941e43 | − | 1.40552e43i | −1.97041 | − | 2.16463i | ||||
\(475\) | −3.10071e42 | −0.461703 | ||||||||
\(476\) | 6.65554e41 | + | 2.73861e41i | 0.0958235 | + | 0.0394293i | ||||
\(477\) | 1.26904e42 | + | 2.76907e42i | 0.176678 | + | 0.385514i | ||||
\(478\) | 8.71904e42 | + | 1.51018e43i | 1.17388 | + | 2.03321i | ||||
\(479\) | 9.89141e42 | + | 5.71081e42i | 1.28792 | + | 0.743583i | 0.978284 | − | 0.207271i | \(-0.0664581\pi\) |
0.309640 | + | 0.950854i | \(0.399791\pi\) | |||||||
\(480\) | 3.68857e42 | + | 1.17641e42i | 0.464514 | + | 0.148149i | ||||
\(481\) | −1.92329e42 | − | 3.33124e42i | −0.234274 | − | 0.405774i | ||||
\(482\) | 2.03461e43i | 2.39733i | ||||||||
\(483\) | 4.51927e42 | + | 3.79957e42i | 0.515127 | + | 0.433092i | ||||
\(484\) | −1.50825e43 | −1.66321 | ||||||||
\(485\) | −8.62069e42 | + | 4.97716e42i | −0.919760 | + | 0.531023i | ||||
\(486\) | −8.49764e42 | − | 1.38376e43i | −0.877239 | − | 1.42850i | ||||
\(487\) | 7.45946e42 | − | 1.29202e43i | 0.745151 | − | 1.29064i | −0.204973 | − | 0.978768i | \(-0.565711\pi\) |
0.950124 | − | 0.311872i | \(-0.100956\pi\) | |||||||
\(488\) | 1.29034e42 | − | 7.44977e41i | 0.124735 | − | 0.0720155i | ||||
\(489\) | −3.43831e42 | − | 1.57552e43i | −0.321664 | − | 1.47395i | ||||
\(490\) | 1.11326e43 | + | 1.10290e43i | 1.00799 | + | 0.998617i | ||||
\(491\) | − | 7.58091e42i | − | 0.664381i | −0.943212 | − | 0.332191i | \(-0.892212\pi\) | ||
0.943212 | − | 0.332191i | \(-0.107788\pi\) | |||||||
\(492\) | −2.05182e43 | − | 2.25407e43i | −1.74060 | − | 1.91217i | ||||
\(493\) | 1.28247e41 | − | 2.22131e41i | 0.0105317 | − | 0.0182414i | ||||
\(494\) | 1.75960e43 | + | 1.01590e43i | 1.39888 | + | 0.807646i | ||||
\(495\) | −2.55476e42 | − | 1.81412e42i | −0.196637 | − | 0.139632i | ||||
\(496\) | 7.11630e42 | 0.530332 | ||||||||
\(497\) | −4.06163e42 | + | 3.13171e42i | −0.293088 | + | 0.225984i | ||||
\(498\) | −9.71957e42 | − | 4.45377e43i | −0.679169 | − | 3.11213i | ||||
\(499\) | 3.82082e42 | + | 6.61786e42i | 0.258552 | + | 0.447826i | 0.965854 | − | 0.259086i | \(-0.0834213\pi\) |
−0.707302 | + | 0.706911i | \(0.750088\pi\) | |||||||
\(500\) | −2.59882e43 | − | 1.50043e43i | −1.70317 | − | 0.983323i | ||||
\(501\) | 1.54498e41 | − | 4.84422e41i | 0.00980665 | − | 0.0307483i | ||||
\(502\) | −6.29567e42 | − | 1.09044e43i | −0.387064 | − | 0.670414i | ||||
\(503\) | 1.19844e43i | 0.713723i | 0.934157 | + | 0.356862i | \(0.116153\pi\) | ||||
−0.934157 | + | 0.356862i | \(0.883847\pi\) | |||||||
\(504\) | −2.35231e43 | + | 9.26459e41i | −1.35708 | + | 0.0534488i | ||||
\(505\) | −2.01394e43 | −1.12560 | ||||||||
\(506\) | −5.14110e42 | + | 2.96822e42i | −0.278386 | + | 0.160726i | ||||
\(507\) | −1.17989e43 | − | 3.76307e42i | −0.619035 | − | 0.197431i | ||||
\(508\) | 1.75283e43 | − | 3.03600e43i | 0.891089 | − | 1.54341i | ||||
\(509\) | −2.24430e43 | + | 1.29575e43i | −1.10560 | + | 0.638317i | −0.937685 | − | 0.347485i | \(-0.887036\pi\) |
−0.167912 | + | 0.985802i | \(0.553702\pi\) | |||||||
\(510\) | 1.66223e42 | − | 3.62752e41i | 0.0793538 | − | 0.0173176i | ||||
\(511\) | 1.12536e43 | − | 1.50832e42i | 0.520664 | − | 0.0697845i | ||||
\(512\) | 2.01239e43i | 0.902385i | ||||||||
\(513\) | −1.46778e43 | + | 3.44656e43i | −0.637946 | + | 1.49799i | ||||
\(514\) | 2.01219e43 | − | 3.48522e43i | 0.847733 | − | 1.46832i | ||||
\(515\) | 2.71631e43 | + | 1.56826e43i | 1.10934 | + | 0.640475i | ||||
\(516\) | 1.30261e43 | − | 1.18573e43i | 0.515727 | − | 0.469453i | ||||
\(517\) | 1.03744e43 | 0.398213 | ||||||||
\(518\) | −4.73748e42 | − | 3.53464e43i | −0.176308 | − | 1.31543i | ||||
\(519\) | −5.20652e43 | + | 1.13623e43i | −1.87875 | + | 0.410005i | ||||
\(520\) | 9.72161e42 | + | 1.68383e43i | 0.340161 | + | 0.589176i | ||||
\(521\) | −4.01693e42 | − | 2.31917e42i | −0.136298 | − | 0.0786918i | 0.430300 | − | 0.902686i | \(-0.358408\pi\) |
−0.566599 | + | 0.823994i | \(0.691741\pi\) | |||||||
\(522\) | −1.75711e42 | + | 1.86633e43i | −0.0578190 | + | 0.614129i | ||||
\(523\) | 1.80645e42 | + | 3.12886e42i | 0.0576500 | + | 0.0998527i | 0.893410 | − | 0.449242i | \(-0.148306\pi\) |
−0.835760 | + | 0.549095i | \(0.814973\pi\) | |||||||
\(524\) | 2.41947e43i | 0.748891i | ||||||||
\(525\) | −9.30013e42 | − | 1.64913e42i | −0.279216 | − | 0.0495115i | ||||
\(526\) | −3.23265e43 | −0.941426 | ||||||||
\(527\) | −1.99466e42 | + | 1.15162e42i | −0.0563506 | + | 0.0325340i | ||||
\(528\) | 1.47381e42 | − | 4.62107e42i | 0.0403924 | − | 0.126648i | ||||
\(529\) | −1.02875e43 | + | 1.78184e43i | −0.273538 | + | 0.473781i | ||||
\(530\) | 2.01993e43 | − | 1.16620e43i | 0.521101 | − | 0.300858i | ||||
\(531\) | 1.13280e43 | + | 2.47178e43i | 0.283556 | + | 0.618725i | ||||
\(532\) | 7.40921e43 | + | 9.60931e43i | 1.79964 | + | 2.33403i | ||||
\(533\) | 3.58662e43i | 0.845376i | ||||||||
\(534\) | 2.41667e43 | − | 2.19984e43i | 0.552787 | − | 0.503188i | ||||
\(535\) | 3.31449e42 | − | 5.74086e42i | 0.0735793 | − | 0.127443i | ||||
\(536\) | −7.34874e42 | − | 4.24279e42i | −0.158335 | − | 0.0914146i | ||||
\(537\) | −2.24109e42 | − | 2.46200e42i | −0.0468675 | − | 0.0514872i | ||||
\(538\) | 1.44570e44 | 2.93468 | ||||||||
\(539\) | −1.01766e43 | + | 1.02722e43i | −0.200532 | + | 0.202415i | ||||
\(540\) | −6.40237e43 | + | 4.81269e43i | −1.22473 | + | 0.920636i | ||||
\(541\) | 2.85248e43 | + | 4.94064e43i | 0.529744 | + | 0.917544i | 0.999398 | + | 0.0346930i | \(0.0110453\pi\) |
−0.469654 | + | 0.882851i | \(0.655621\pi\) | |||||||
\(542\) | 2.50520e43 | + | 1.44638e43i | 0.451703 | + | 0.260791i | ||||
\(543\) | −4.88171e43 | − | 1.55694e43i | −0.854623 | − | 0.272568i | ||||
\(544\) | −9.69880e41 | − | 1.67988e42i | −0.0164868 | − | 0.0285559i | ||||
\(545\) | − | 6.80580e43i | − | 1.12340i | ||||||
\(546\) | 4.73735e43 | + | 3.98291e43i | 0.759369 | + | 0.638437i | ||||
\(547\) | −9.06060e43 | −1.41046 | −0.705229 | − | 0.708980i | \(-0.749156\pi\) | ||||
−0.705229 | + | 0.708980i | \(0.749156\pi\) | |||||||
\(548\) | −1.64119e43 | + | 9.47544e42i | −0.248125 | + | 0.143255i | ||||
\(549\) | 6.76963e41 | − | 7.19041e42i | 0.00994048 | − | 0.105584i | ||||
\(550\) | 4.74832e42 | − | 8.22433e42i | 0.0677231 | − | 0.117300i | ||||
\(551\) | 3.74512e43 | − | 2.16225e43i | 0.518848 | − | 0.299557i | ||||
\(552\) | 1.44810e43 | + | 6.63557e43i | 0.194882 | + | 0.893004i | ||||
\(553\) | −5.08231e43 | + | 1.23513e44i | −0.664445 | + | 1.61477i | ||||
\(554\) | − | 9.26107e43i | − | 1.17626i | ||||||
\(555\) | −3.65558e43 | − | 4.01591e43i | −0.451095 | − | 0.495560i | ||||
\(556\) | 9.84456e43 | − | 1.70513e44i | 1.18032 | − | 2.04437i | ||||
\(557\) | −6.64651e43 | − | 3.83737e43i | −0.774303 | − | 0.447044i | 0.0601046 | − | 0.998192i | \(-0.480857\pi\) |
−0.834407 | + | 0.551148i | \(0.814190\pi\) | |||||||
\(558\) | 9.74592e43 | − | 1.37248e44i | 1.10325 | − | 1.55367i | ||||
\(559\) | −2.07268e43 | −0.228005 | ||||||||
\(560\) | 4.90713e42 | + | 3.66122e43i | 0.0524589 | + | 0.391397i | ||||
\(561\) | 3.34717e41 | + | 1.53376e42i | 0.00347754 | + | 0.0159350i | ||||
\(562\) | −2.46920e43 | − | 4.27678e43i | −0.249331 | − | 0.431853i | ||||
\(563\) | 1.46273e43 | + | 8.44507e42i | 0.143559 | + | 0.0828837i | 0.570059 | − | 0.821604i | \(-0.306920\pi\) |
−0.426500 | + | 0.904487i | \(0.640254\pi\) | |||||||
\(564\) | 8.05801e43 | − | 2.52655e44i | 0.768709 | − | 2.41025i | ||||
\(565\) | −4.05811e43 | − | 7.02886e43i | −0.376313 | − | 0.651793i | ||||
\(566\) | − | 1.31942e44i | − | 1.18938i | ||||||
\(567\) | −6.23548e43 | + | 9.55682e43i | −0.546438 | + | 0.837499i | ||||
\(568\) | −5.89969e43 | −0.502639 | ||||||||
\(569\) | 1.67870e44 | − | 9.69199e43i | 1.39052 | − | 0.802818i | 0.397148 | − | 0.917755i | \(-0.370000\pi\) |
0.993373 | + | 0.114937i | \(0.0366666\pi\) | |||||||
\(570\) | 2.73285e44 | + | 8.71596e43i | 2.20099 | + | 0.701968i | ||||
\(571\) | 1.40789e43 | − | 2.43853e43i | 0.110253 | − | 0.190964i | −0.805619 | − | 0.592434i | \(-0.798167\pi\) |
0.915872 | + | 0.401470i | \(0.131501\pi\) | |||||||
\(572\) | −3.47144e43 | + | 2.00424e43i | −0.264346 | + | 0.152620i | ||||
\(573\) | −8.23829e43 | + | 1.79786e43i | −0.610046 | + | 0.133132i | ||||
\(574\) | −1.26533e44 | + | 3.07508e44i | −0.911200 | + | 2.21445i | ||||
\(575\) | 2.72497e43i | 0.190843i | ||||||||
\(576\) | 1.71436e44 | + | 1.21736e44i | 1.16773 | + | 0.829199i | ||||
\(577\) | −4.85042e43 | + | 8.40118e43i | −0.321341 | + | 0.556580i | −0.980765 | − | 0.195192i | \(-0.937467\pi\) |
0.659424 | + | 0.751772i | \(0.270800\pi\) | |||||||
\(578\) | 2.24552e44 | + | 1.29645e44i | 1.44701 | + | 0.835432i | ||||
\(579\) | 6.46168e43 | − | 5.88190e43i | 0.405031 | − | 0.368689i | ||||
\(580\) | 9.24621e43 | 0.563788 | ||||||||
\(581\) | −2.53688e44 | + | 1.95605e44i | −1.50481 | + | 1.16028i | ||||
\(582\) | −3.56114e44 | + | 7.77155e43i | −2.05504 | + | 0.448477i | ||||
\(583\) | 1.07608e43 | + | 1.86382e43i | 0.0604152 | + | 0.104642i | ||||
\(584\) | 1.13110e44 | + | 6.53044e43i | 0.617870 | + | 0.356728i | ||||
\(585\) | 9.38315e43 | + | 8.83405e42i | 0.498718 | + | 0.0469533i | ||||
\(586\) | 2.06095e43 | + | 3.56966e43i | 0.106587 | + | 0.184614i | ||||
\(587\) | 3.43727e43i | 0.172983i | 0.996253 | + | 0.0864917i | \(0.0275656\pi\) | ||||
−0.996253 | + | 0.0864917i | \(0.972434\pi\) | |||||||
\(588\) | 1.71121e44 | + | 3.27624e44i | 0.838043 | + | 1.60449i | ||||
\(589\) | −3.88325e44 | −1.85076 | ||||||||
\(590\) | 1.80307e44 | − | 1.04100e44i | 0.836333 | − | 0.482857i | ||||
\(591\) | 7.69847e43 | − | 2.41382e44i | 0.347540 | − | 1.08970i | ||||
\(592\) | 4.20323e43 | − | 7.28021e43i | 0.184687 | − | 0.319887i | ||||
\(593\) | −5.42301e43 | + | 3.13098e43i | −0.231934 | + | 0.133907i | −0.611464 | − | 0.791272i | \(-0.709419\pi\) |
0.379530 | + | 0.925180i | \(0.376086\pi\) | |||||||
\(594\) | −6.89397e43 | − | 9.17111e43i | −0.287003 | − | 0.381803i | ||||
\(595\) | −7.30032e42 | − | 9.46808e42i | −0.0295849 | − | 0.0383699i | ||||
\(596\) | − | 8.12723e44i | − | 3.20629i | ||||||
\(597\) | −2.19433e44 | + | 1.99744e44i | −0.842776 | + | 0.767157i | ||||
\(598\) | 8.92798e43 | − | 1.54637e44i | 0.333837 | − | 0.578222i | ||||
\(599\) | −2.90368e44 | − | 1.67644e44i | −1.05711 | − | 0.610322i | −0.132478 | − | 0.991186i | \(-0.542293\pi\) |
−0.924631 | + | 0.380864i | \(0.875627\pi\) | |||||||
\(600\) | −7.31373e43 | − | 8.03465e43i | −0.259250 | − | 0.284805i | ||||
\(601\) | 2.73926e44 | 0.945456 | 0.472728 | − | 0.881208i | \(-0.343269\pi\) | ||||
0.472728 | + | 0.881208i | \(0.343269\pi\) | |||||||
\(602\) | −1.77707e44 | − | 7.31226e43i | −0.597255 | − | 0.245758i | ||||
\(603\) | −3.73922e43 | + | 1.71365e43i | −0.122378 | + | 0.0560848i | ||||
\(604\) | 3.81163e44 | + | 6.60194e44i | 1.21484 | + | 2.10417i | ||||
\(605\) | 2.16986e44 | + | 1.25277e44i | 0.673512 | + | 0.388852i | ||||
\(606\) | −7.02572e44 | − | 2.24074e44i | −2.12388 | − | 0.677375i | ||||
\(607\) | −2.13451e44 | − | 3.69708e44i | −0.628463 | − | 1.08853i | −0.987860 | − | 0.155345i | \(-0.950351\pi\) |
0.359398 | − | 0.933185i | \(-0.382982\pi\) | |||||||
\(608\) | − | 3.27043e44i | − | 0.937881i | ||||||
\(609\) | 1.23830e44 | − | 4.49349e43i | 0.345898 | − | 0.125518i | ||||
\(610\) | −5.53022e43 | −0.150475 | ||||||||
\(611\) | −2.70242e44 | + | 1.56024e44i | −0.716297 | + | 0.413554i | ||||
\(612\) | 3.99525e43 | + | 3.76145e42i | 0.103162 | + | 0.00971253i | ||||
\(613\) | 5.48037e43 | − | 9.49228e43i | 0.137861 | − | 0.238783i | −0.788826 | − | 0.614617i | \(-0.789311\pi\) |
0.926687 | + | 0.375834i | \(0.122644\pi\) | |||||||
\(614\) | 2.43202e44 | − | 1.40413e44i | 0.596037 | − | 0.344122i | ||||
\(615\) | 1.07962e44 | + | 4.94710e44i | 0.257791 | + | 1.18127i | ||||
\(616\) | −1.64857e44 | + | 2.20957e43i | −0.383544 | + | 0.0514064i | ||||
\(617\) | 8.15007e44i | 1.84756i | 0.382922 | + | 0.923781i | \(0.374918\pi\) | ||||
−0.382922 | + | 0.923781i | \(0.625082\pi\) | |||||||
\(618\) | 7.73109e44 | + | 8.49315e44i | 1.70775 | + | 1.87609i | ||||
\(619\) | 2.20228e44 | − | 3.81446e44i | 0.474048 | − | 0.821075i | −0.525511 | − | 0.850787i | \(-0.676126\pi\) |
0.999558 | + | 0.0297121i | \(0.00945906\pi\) | |||||||
\(620\) | −7.19042e44 | − | 4.15139e44i | −1.50830 | − | 0.870816i | ||||
\(621\) | 3.02891e44 | + | 1.28992e44i | 0.619186 | + | 0.263692i | ||||
\(622\) | 4.01688e44 | 0.800282 | ||||||||
\(623\) | −2.12370e44 | − | 8.73859e43i | −0.412368 | − | 0.169681i | ||||
\(624\) | 3.11066e43 | + | 1.42539e44i | 0.0588706 | + | 0.269761i | ||||
\(625\) | 1.72392e44 | + | 2.98592e44i | 0.318008 | + | 0.550806i | ||||
\(626\) | −6.82058e43 | − | 3.93786e43i | −0.122640 | − | 0.0708062i | ||||
\(627\) | −8.04235e43 | + | 2.52164e44i | −0.140962 | + | 0.441980i | ||||
\(628\) | −6.47569e44 | − | 1.12162e45i | −1.10645 | − | 1.91643i | ||||
\(629\) | 2.72080e43i | 0.0453197i | ||||||||
\(630\) | 7.73322e44 | + | 4.06771e44i | 1.25577 | + | 0.660543i | ||||
\(631\) | −1.52434e44 | −0.241331 | −0.120666 | − | 0.992693i | \(-0.538503\pi\) | ||||
−0.120666 | + | 0.992693i | \(0.538503\pi\) | |||||||
\(632\) | −1.33053e45 | + | 7.68182e44i | −2.05377 | + | 1.18574i | ||||
\(633\) | 2.03789e44 | + | 6.49950e43i | 0.306705 | + | 0.0978184i | ||||
\(634\) | 8.77696e43 | − | 1.52021e44i | 0.128800 | − | 0.223088i | ||||
\(635\) | −5.04345e44 | + | 2.91184e44i | −0.721686 | + | 0.416666i | ||||
\(636\) | 5.37488e44 | − | 1.17297e44i | 0.749989 | − | 0.163672i | ||||
\(637\) | 1.10603e44 | − | 4.20628e44i | 0.150500 | − | 0.572357i | ||||
\(638\) | 1.32448e44i | 0.175758i | ||||||||
\(639\) | −1.65571e44 | + | 2.33168e44i | −0.214275 | + | 0.301755i | ||||
\(640\) | 6.11866e44 | − | 1.05978e45i | 0.772284 | − | 1.33763i | ||||
\(641\) | 1.37799e45 | + | 7.95585e44i | 1.69636 | + | 0.979396i | 0.949157 | + | 0.314804i | \(0.101939\pi\) |
0.747207 | + | 0.664592i | \(0.231394\pi\) | |||||||
\(642\) | 1.79501e44 | − | 1.63395e44i | 0.215529 | − | 0.196191i | ||||
\(643\) | 1.51731e44 | 0.177704 | 0.0888521 | − | 0.996045i | \(-0.471680\pi\) | ||||
0.0888521 | + | 0.996045i | \(0.471680\pi\) | |||||||
\(644\) | 8.44487e44 | − | 6.51138e44i | 0.964759 | − | 0.743873i | ||||
\(645\) | −2.85889e44 | + | 6.23904e43i | −0.318598 | + | 0.0695284i | ||||
\(646\) | −7.18579e43 | − | 1.24462e44i | −0.0781186 | − | 0.135305i | ||||
\(647\) | −3.85553e44 | − | 2.22599e44i | −0.408899 | − | 0.236078i | 0.281418 | − | 0.959585i | \(-0.409195\pi\) |
−0.690317 | + | 0.723508i | \(0.742529\pi\) | |||||||
\(648\) | −1.23929e45 | + | 4.32615e44i | −1.28226 | + | 0.447611i | ||||
\(649\) | 9.60547e43 | + | 1.66372e44i | 0.0969625 | + | 0.167944i | ||||
\(650\) | 2.85646e44i | 0.281329i | ||||||||
\(651\) | −1.16472e45 | − | 2.06533e44i | −1.11925 | − | 0.198469i | ||||
\(652\) | −2.91251e45 | −2.73090 | ||||||||
\(653\) | −5.52564e44 | + | 3.19023e44i | −0.505558 | + | 0.291884i | −0.731006 | − | 0.682371i | \(-0.760949\pi\) |
0.225448 | + | 0.974255i | \(0.427616\pi\) | |||||||
\(654\) | 7.57222e44 | − | 2.37423e45i | 0.676051 | − | 2.11973i | ||||
\(655\) | 2.00963e44 | − | 3.48078e44i | 0.175088 | − | 0.303261i | ||||
\(656\) | −6.78820e44 | + | 3.91917e44i | −0.577156 | + | 0.333221i | ||||
\(657\) | 5.75534e44 | − | 2.63762e44i | 0.477557 | − | 0.218860i | ||||
\(658\) | −2.86743e45 | + | 3.84321e44i | −2.32208 | + | 0.311229i | ||||
\(659\) | 4.38908e43i | 0.0346902i | 0.999850 | + | 0.0173451i | \(0.00552140\pi\) | ||||
−0.999850 | + | 0.0173451i | \(0.994479\pi\) | |||||||
\(660\) | −4.18493e44 | + | 3.80943e44i | −0.322838 | + | 0.293871i | ||||
\(661\) | 4.37082e44 | − | 7.57048e44i | 0.329109 | − | 0.570033i | −0.653227 | − | 0.757163i | \(-0.726585\pi\) |
0.982335 | + | 0.187130i | \(0.0599184\pi\) | |||||||
\(662\) | 2.11540e45 | + | 1.22133e45i | 1.55476 | + | 0.897643i | ||||
\(663\) | −3.17857e43 | − | 3.49188e43i | −0.0228042 | − | 0.0250521i | ||||
\(664\) | −3.68492e45 | −2.58070 | ||||||||
\(665\) | −2.67774e44 | − | 1.99787e45i | −0.183072 | − | 1.36590i | ||||
\(666\) | −8.28450e44 | − | 1.80769e45i | −0.552941 | − | 1.20653i | ||||
\(667\) | −1.90023e44 | − | 3.29129e44i | −0.123821 | − | 0.214463i | ||||
\(668\) | −7.95298e43 | − | 4.59165e43i | −0.0505948 | − | 0.0292109i | ||||
\(669\) | 1.11969e44 | + | 3.57105e43i | 0.0695470 | + | 0.0221808i | ||||
\(670\) | 1.57479e44 | + | 2.72761e44i | 0.0955047 | + | 0.165419i | ||||
\(671\) | − | 5.10283e43i | − | 0.0302169i | ||||||
\(672\) | 1.73940e44 | − | 9.80919e44i | 0.100575 | − | 0.567185i | ||||
\(673\) | 1.10974e45 | 0.626585 | 0.313293 | − | 0.949657i | \(-0.398568\pi\) | ||||
0.313293 | + | 0.949657i | \(0.398568\pi\) | |||||||
\(674\) | 3.69875e45 | − | 2.13548e45i | 2.03937 | − | 1.17743i | ||||
\(675\) | −5.22801e44 | + | 6.35655e43i | −0.281499 | + | 0.0342264i | ||||
\(676\) | −1.11838e45 | + | 1.93708e45i | −0.588086 | + | 1.01859i | ||||
\(677\) | −3.09548e45 | + | 1.78718e45i | −1.58968 | + | 0.917802i | −0.596321 | + | 0.802746i | \(0.703371\pi\) |
−0.993359 | + | 0.115056i | \(0.963295\pi\) | |||||||
\(678\) | −6.33651e44 | − | 2.90356e45i | −0.317816 | − | 1.45632i | ||||
\(679\) | 1.56401e45 | + | 2.02843e45i | 0.766167 | + | 0.993673i | ||||
\(680\) | − | 1.37528e44i | − | 0.0658033i | ||||||
\(681\) | −1.83114e45 | − | 2.01163e45i | −0.855790 | − | 0.940145i | ||||
\(682\) | 5.94668e44 | − | 1.03000e45i | 0.271472 | − | 0.470203i | ||||
\(683\) | 3.80680e45 | + | 2.19786e45i | 1.69757 | + | 0.980094i | 0.948053 | + | 0.318113i | \(0.103049\pi\) |
0.749520 | + | 0.661982i | \(0.230284\pi\) | |||||||
\(684\) | 5.51644e45 | + | 3.91721e45i | 2.40304 | + | 1.70639i | ||||
\(685\) | 3.14816e44 | 0.133970 | ||||||||
\(686\) | 2.43222e45 | − | 3.21616e45i | 1.01116 | − | 1.33706i | ||||
\(687\) | 2.18958e44 | + | 1.00332e45i | 0.0889308 | + | 0.407505i | ||||
\(688\) | −2.26486e44 | − | 3.92286e44i | −0.0898725 | − | 0.155664i | ||||
\(689\) | −5.60610e44 | − | 3.23669e44i | −0.217347 | − | 0.125485i | ||||
\(690\) | 7.65977e44 | − | 2.40168e45i | 0.290155 | − | 0.909768i | ||||
\(691\) | −1.80522e45 | − | 3.12673e45i | −0.668162 | − | 1.15729i | −0.978418 | − | 0.206637i | \(-0.933748\pi\) |
0.310256 | − | 0.950653i | \(-0.399585\pi\) | |||||||
\(692\) | 9.62476e45i | 3.48091i | ||||||||
\(693\) | −3.75334e44 | + | 7.13557e44i | −0.132644 | + | 0.252172i | ||||
\(694\) | 7.64959e45 | 2.64172 | ||||||||
\(695\) | −2.83259e45 | + | 1.63540e45i | −0.955932 | + | 0.551908i | ||||
\(696\) | 1.44366e45 | + | 4.60432e44i | 0.476121 | + | 0.151851i | ||||
\(697\) | 1.26846e44 | − | 2.19704e44i | 0.0408840 | − | 0.0708131i | ||||
\(698\) | 4.42124e45 | − | 2.55261e45i | 1.39270 | − | 0.804076i | ||||
\(699\) | 2.96426e45 | − | 6.46898e44i | 0.912603 | − | 0.199160i | ||||
\(700\) | −6.49132e44 | + | 1.57756e45i | −0.195328 | + | 0.474697i | ||||
\(701\) | 1.71214e45i | 0.503560i | 0.967785 | + | 0.251780i | \(0.0810159\pi\) | ||||
−0.967785 | + | 0.251780i | \(0.918984\pi\) | |||||||
\(702\) | 3.17507e45 | + | 1.35216e45i | 0.912766 | + | 0.388718i | ||||
\(703\) | −2.29363e45 | + | 3.97269e45i | −0.644523 | + | 1.11635i | ||||
\(704\) | 1.28656e45 | + | 7.42797e44i | 0.353401 | + | 0.204036i | ||||
\(705\) | −3.25785e45 | + | 2.96553e45i | −0.874792 | + | 0.796301i | ||||
\(706\) | −3.88886e45 | −1.02081 | ||||||||
\(707\) | 6.88405e44 | + | 5.13620e45i | 0.176658 | + | 1.31805i | ||||
\(708\) | 4.79783e45 | − | 1.04704e45i | 1.20368 | − | 0.262683i | ||||
\(709\) | 3.65026e45 | + | 6.32244e45i | 0.895332 | + | 1.55076i | 0.833393 | + | 0.552681i | \(0.186395\pi\) |
0.0619399 | + | 0.998080i | \(0.480271\pi\) | |||||||
\(710\) | 1.89640e45 | + | 1.09489e45i | 0.454774 | + | 0.262564i | ||||
\(711\) | −6.98049e44 | + | 7.41438e45i | −0.163671 | + | 1.73845i | ||||
\(712\) | −1.32082e45 | − | 2.28773e45i | −0.302806 | − | 0.524475i | ||||
\(713\) | 3.41268e45i | 0.765003i | ||||||||
\(714\) | −1.49332e44 | − | 4.11523e44i | −0.0327327 | − | 0.0902033i | ||||
\(715\) | 6.65895e44 | 0.142728 | ||||||||
\(716\) | −5.20736e44 | + | 3.00647e44i | −0.109146 | + | 0.0630156i | ||||
\(717\) | 2.07614e45 | − | 6.50964e45i | 0.425550 | − | 1.33429i | ||||
\(718\) | 2.45772e45 | − | 4.25690e45i | 0.492654 | − | 0.853302i | ||||
\(719\) | −2.35245e45 | + | 1.35819e45i | −0.461166 | + | 0.266255i | −0.712535 | − | 0.701637i | \(-0.752453\pi\) |
0.251368 | + | 0.967892i | \(0.419120\pi\) | |||||||
\(720\) | 8.58118e44 | + | 1.87243e45i | 0.164523 | + | 0.358993i | ||||
\(721\) | 3.07109e45 | − | 7.46353e45i | 0.575875 | − | 1.39952i | ||||
\(722\) | − | 1.50901e46i | − | 2.76756i | ||||||
\(723\) | 5.89543e45 | − | 5.36646e45i | 1.05755 | − | 0.962664i | ||||
\(724\) | −4.62718e45 | + | 8.01452e45i | −0.811895 | + | 1.40624i | ||||
\(725\) | 5.26516e44 | + | 3.03984e44i | 0.0903656 | + | 0.0521726i | ||||
\(726\) | 6.17580e45 | + | 6.78455e45i | 1.03683 | + | 1.13903i | ||||
\(727\) | −4.28097e45 | −0.703059 | −0.351530 | − | 0.936177i | \(-0.614338\pi\) | ||||
−0.351530 | + | 0.936177i | \(0.614338\pi\) | |||||||
\(728\) | 3.96202e45 | − | 3.05490e45i | 0.636523 | − | 0.490789i | ||||
\(729\) | −1.76823e45 | + | 6.11205e45i | −0.277906 | + | 0.960608i | ||||
\(730\) | −2.42388e45 | − | 4.19829e45i | −0.372689 | − | 0.645516i | ||||
\(731\) | 1.26966e44 | + | 7.33036e43i | 0.0190989 | + | 0.0110267i | ||||
\(732\) | −1.24272e45 | − | 3.96346e44i | −0.182893 | − | 0.0583307i | ||||
\(733\) | −4.85471e45 | − | 8.40861e45i | −0.699037 | − | 1.21077i | −0.968801 | − | 0.247841i | \(-0.920279\pi\) |
0.269764 | − | 0.962927i | \(-0.413054\pi\) | |||||||
\(734\) | − | 1.39745e46i | − | 1.96879i | ||||||
\(735\) | 2.59428e44 | − | 6.13474e45i | 0.0357618 | − | 0.845665i | ||||
\(736\) | −2.87413e45 | −0.387669 | ||||||||
\(737\) | −2.51681e44 | + | 1.45308e44i | −0.0332178 | + | 0.0191783i | ||||
\(738\) | −1.73791e45 | + | 1.84594e46i | −0.224454 | + | 2.38405i | ||||
\(739\) | 2.28954e45 | − | 3.96560e45i | 0.289359 | − | 0.501184i | −0.684298 | − | 0.729203i | \(-0.739891\pi\) |
0.973657 | + | 0.228018i | \(0.0732246\pi\) | |||||||
\(740\) | −8.49401e45 | + | 4.90402e45i | −1.05052 | + | 0.606520i | ||||
\(741\) | −1.69743e45 | − | 7.77809e45i | −0.205448 | − | 0.941417i | ||||
\(742\) | −3.66466e45 | − | 4.75284e45i | −0.434081 | − | 0.562977i | ||||
\(743\) | − | 9.75902e45i | − | 1.13132i | −0.824639 | − | 0.565660i | \(-0.808622\pi\) | ||
0.824639 | − | 0.565660i | \(-0.191378\pi\) | |||||||
\(744\) | −9.15954e45 | − | 1.00624e46i | −1.03922 | − | 1.14165i | ||||
\(745\) | −6.75056e45 | + | 1.16923e46i | −0.749617 | + | 1.29837i | ||||
\(746\) | −2.26950e46 | − | 1.31030e46i | −2.46666 | − | 1.42413i | ||||
\(747\) | −1.03415e46 | + | 1.45635e46i | −1.10016 | + | 1.54930i | ||||
\(748\) | 2.83531e44 | 0.0295240 | ||||||||
\(749\) | −1.57740e45 | − | 6.49069e44i | −0.160781 | − | 0.0661579i | ||||
\(750\) | 3.89197e45 | + | 1.78341e46i | 0.388320 | + | 1.77938i | ||||
\(751\) | −7.33775e45 | − | 1.27094e46i | −0.716678 | − | 1.24132i | −0.962309 | − | 0.271959i | \(-0.912329\pi\) |
0.245631 | − | 0.969363i | \(-0.421005\pi\) | |||||||
\(752\) | −5.90597e45 | − | 3.40981e45i | −0.564684 | − | 0.326021i | ||||
\(753\) | −1.49910e45 | + | 4.70035e45i | −0.140317 | + | 0.439958i | ||||
\(754\) | −1.99192e45 | − | 3.45011e45i | −0.182529 | − | 0.316149i | ||||
\(755\) | − | 1.26639e46i | − | 1.13610i | ||||||
\(756\) | 1.44624e46 | + | 1.46831e46i | 1.27026 | + | 1.28964i | ||||
\(757\) | 1.27105e46 | 1.09302 | 0.546511 | − | 0.837452i | \(-0.315955\pi\) | ||||
0.546511 | + | 0.837452i | \(0.315955\pi\) | |||||||
\(758\) | −8.04753e45 | + | 4.64624e45i | −0.677572 | + | 0.391196i | ||||
\(759\) | 2.21607e45 | + | 7.06779e44i | 0.182690 | + | 0.0582660i | ||||
\(760\) | 1.15936e46 | − | 2.00807e46i | 0.935836 | − | 1.62092i | ||||
\(761\) | 4.18109e45 | − | 2.41396e45i | 0.330473 | − | 0.190798i | −0.325578 | − | 0.945515i | \(-0.605559\pi\) |
0.656051 | + | 0.754717i | \(0.272226\pi\) | |||||||
\(762\) | −2.08341e46 | + | 4.54667e45i | −1.61248 | + | 0.351896i | ||||
\(763\) | −1.73570e46 | + | 2.32636e45i | −1.31547 | + | 0.176313i | ||||
\(764\) | 1.52293e46i | 1.13028i | ||||||||
\(765\) | −5.43537e44 | − | 3.85964e44i | −0.0395045 | − | 0.0280520i | ||||
\(766\) | −6.71664e45 | + | 1.16336e46i | −0.478070 | + | 0.828042i | ||||
\(767\) | −5.00423e45 | − | 2.88919e45i | −0.348828 | − | 0.201396i | ||||
\(768\) | 1.76227e46 | − | 1.60415e46i | 1.20307 | − | 1.09513i | ||||
\(769\) | 2.15545e45 | 0.144118 | 0.0720588 | − | 0.997400i | \(-0.477043\pi\) | ||||
0.0720588 | + | 0.997400i | \(0.477043\pi\) | |||||||
\(770\) | 5.70922e45 | + | 2.34922e45i | 0.373874 | + | 0.153841i | ||||
\(771\) | −1.54060e46 | + | 3.36209e45i | −0.988143 | + | 0.215645i | ||||
\(772\) | −7.89068e45 | − | 1.36671e46i | −0.495721 | − | 0.858614i | ||||
\(773\) | 3.46492e45 | + | 2.00047e45i | 0.213217 | + | 0.123101i | 0.602805 | − | 0.797888i | \(-0.294050\pi\) |
−0.389589 | + | 0.920989i | \(0.627383\pi\) | |||||||
\(774\) | −1.06676e46 | − | 1.00433e45i | −0.642998 | − | 0.0605369i | ||||
\(775\) | −2.72967e45 | − | 4.72793e45i | −0.161170 | − | 0.279154i | ||||
\(776\) | 2.94638e46i | 1.70412i | ||||||||
\(777\) | −8.99233e45 | + | 1.06956e46i | −0.509490 | + | 0.605997i | ||||
\(778\) | 5.57395e46 | 3.09378 | ||||||||
\(779\) | 3.70421e46 | − | 2.13862e46i | 2.01417 | − | 1.16288i | ||||
\(780\) | 5.17213e45 | − | 1.62170e46i | 0.275521 | − | 0.863884i | ||||
\(781\) | −1.01027e45 | + | 1.74984e45i | −0.0527255 | + | 0.0913232i | ||||
\(782\) | −1.09379e45 | + | 6.31503e44i | −0.0559278 | + | 0.0322899i | ||||
\(783\) | 5.87128e45 | − | 4.41347e45i | 0.294133 | − | 0.221101i | ||||
\(784\) | 9.16958e45 | − | 2.50296e45i | 0.450083 | − | 0.122856i | ||||
\(785\) | 2.15151e46i | 1.03473i | ||||||||
\(786\) | 1.08835e46 | − | 9.90693e45i | 0.512869 | − | 0.466851i | ||||
\(787\) | −2.08789e46 | + | 3.61633e46i | −0.964078 | + | 1.66983i | −0.252005 | + | 0.967726i | \(0.581090\pi\) |
−0.712073 | + | 0.702106i | \(0.752243\pi\) | |||||||
\(788\) | −3.96287e46 | − | 2.28797e46i | −1.79304 | − | 1.03521i | ||||
\(789\) | 8.52638e45 | + | 9.36683e45i | 0.378036 | + | 0.415299i | ||||
\(790\) | 5.70248e46 | 2.47759 | ||||||||
\(791\) | −1.65387e46 | + | 1.27521e46i | −0.704172 | + | 0.542949i | ||||
\(792\) | −8.43113e45 | + | 3.86391e45i | −0.351790 | + | 0.161222i | ||||
\(793\) | 7.67429e44 | + | 1.32923e45i | 0.0313811 | + | 0.0543536i | ||||
\(794\) | −6.64831e46 | − | 3.83841e46i | −2.66430 | − | 1.53824i | ||||
\(795\) | −8.70689e45 | − | 2.77692e45i | −0.341971 | − | 0.109066i | ||||
\(796\) | 2.67960e46 | + | 4.64120e46i | 1.03148 | + | 1.78658i | ||||
\(797\) | − | 1.51583e46i | − | 0.571897i | −0.958245 | − | 0.285949i | \(-0.907691\pi\) | ||
0.958245 | − | 0.285949i | \(-0.0923087\pi\) | |||||||
\(798\) | 1.28871e46 | − | 7.26758e46i | 0.476551 | − | 2.68747i | ||||
\(799\) | 2.20721e45 | 0.0800010 | ||||||||
\(800\) | 3.98181e45 | − | 2.29890e45i | 0.141462 | − | 0.0816734i | ||||
\(801\) | −1.27484e46 | − | 1.20023e45i | −0.443950 | − | 0.0417970i | ||||
\(802\) | −2.36008e46 | + | 4.08779e46i | −0.805634 | + | 1.39540i | ||||
\(803\) | 3.87383e45 | − | 2.23656e45i | 0.129626 | − | 0.0748396i | ||||
\(804\) | 1.58393e45 | + | 7.25798e45i | 0.0519563 | + | 0.238078i | ||||
\(805\) | −1.75577e46 | + | 2.35326e45i | −0.564590 | + | 0.0756720i | ||||
\(806\) | 3.57736e46i | 1.12772i | ||||||||
\(807\) | −3.81315e46 | − | 4.18902e46i | −1.17844 | − | 1.29460i | ||||
\(808\) | −2.98053e46 | + | 5.16242e46i | −0.903049 | + | 1.56413i | ||||
\(809\) | 1.27644e46 | + | 7.36952e45i | 0.379161 | + | 0.218909i | 0.677453 | − | 0.735566i | \(-0.263084\pi\) |
−0.298292 | + | 0.954475i | \(0.596417\pi\) | |||||||
\(810\) | 4.78645e46 | + | 9.09330e45i | 1.39397 | + | 0.264826i | ||||
\(811\) | 1.97424e46 | 0.563723 | 0.281861 | − | 0.959455i | \(-0.409048\pi\) | ||||
0.281861 | + | 0.959455i | \(0.409048\pi\) | |||||||
\(812\) | −3.16054e45 | − | 2.35809e46i | −0.0884841 | − | 0.660181i | ||||
\(813\) | −2.41669e45 | − | 1.10739e46i | −0.0663395 | − | 0.303986i | ||||
\(814\) | −7.02479e45 | − | 1.21673e46i | −0.189079 | − | 0.327494i | ||||
\(815\) | 4.19011e46 | + | 2.41916e46i | 1.10587 | + | 0.638473i | ||||
\(816\) | 3.13561e44 | − | 9.83156e44i | 0.00811484 | − | 0.0254437i | ||||
\(817\) | 1.23590e46 | + | 2.14064e46i | 0.313638 | + | 0.543238i | ||||
\(818\) | 5.16145e46i | 1.28445i | ||||||||
\(819\) | −9.54381e44 | − | 2.42321e46i | −0.0232905 | − | 0.591355i | ||||
\(820\) | 9.14520e46 | 2.18863 | ||||||||
\(821\) | 1.83554e45 | − | 1.05975e45i | 0.0430799 | − | 0.0248722i | −0.478305 | − | 0.878194i | \(-0.658749\pi\) |
0.521385 | + | 0.853321i | \(0.325415\pi\) | |||||||
\(822\) | 1.09825e46 | + | 3.50268e45i | 0.252785 | + | 0.0806216i | ||||
\(823\) | −1.94288e46 | + | 3.36517e46i | −0.438580 | + | 0.759644i | −0.997580 | − | 0.0695241i | \(-0.977852\pi\) |
0.559000 | + | 0.829168i | \(0.311185\pi\) | |||||||
\(824\) | 8.03999e46 | − | 4.64189e46i | 1.78000 | − | 1.02768i | ||||
\(825\) | −3.63547e45 | + | 7.93378e44i | −0.0789401 | + | 0.0172273i | ||||
\(826\) | −3.27122e46 | − | 4.24257e46i | −0.696672 | − | 0.903542i | ||||
\(827\) | 1.32116e46i | 0.275973i | 0.990434 | + | 0.137987i | \(0.0440631\pi\) | ||||
−0.990434 | + | 0.137987i | \(0.955937\pi\) | |||||||
\(828\) | 3.44253e46 | − | 4.84797e46i | 0.705329 | − | 0.993286i | ||||
\(829\) | −2.75294e46 | + | 4.76822e46i | −0.553253 | + | 0.958262i | 0.444785 | + | 0.895638i | \(0.353280\pi\) |
−0.998037 | + | 0.0626241i | \(0.980053\pi\) | |||||||
\(830\) | 1.18448e47 | + | 6.83860e46i | 2.33495 | + | 1.34809i | ||||
\(831\) | −2.68346e46 | + | 2.44269e46i | −0.518895 | + | 0.472337i | ||||
\(832\) | −4.46846e46 | −0.847587 | ||||||||
\(833\) | −2.16513e45 | + | 2.18546e45i | −0.0402869 | + | 0.0406652i | ||||
\(834\) | −1.17012e47 | + | 2.55358e46i | −2.13586 | + | 0.466115i | ||||
\(835\) | 7.62774e44 | + | 1.32116e45i | 0.0136588 | + | 0.0236577i | ||||
\(836\) | 4.13989e46 | + | 2.39017e46i | 0.727257 | + | 0.419882i | ||||
\(837\) | −6.54743e46 | + | 7.96078e45i | −1.12840 | + | 0.137198i | ||||
\(838\) | −4.44360e46 | − | 7.69654e46i | −0.751329 | − | 1.30134i | ||||
\(839\) | − | 3.49912e46i | − | 0.580454i | −0.956958 | − | 0.290227i | \(-0.906269\pi\) | ||
0.956958 | − | 0.290227i | \(-0.0937308\pi\) | |||||||
\(840\) | 4.54533e46 | − | 5.40630e46i | 0.739770 | − | 0.879896i | ||||
\(841\) | 5.41441e46 | 0.864600 | ||||||||
\(842\) | 3.35238e45 | − | 1.93550e45i | 0.0525242 | − | 0.0303249i | ||||
\(843\) | −5.87956e45 | + | 1.84351e46i | −0.0903865 | + | 0.283403i | ||||
\(844\) | 1.93163e46 | − | 3.34569e46i | 0.291371 | − | 0.504669i | ||||
\(845\) | 3.21792e46 | − | 1.85787e46i | 0.476286 | − | 0.274984i | ||||
\(846\) | −1.46646e47 | + | 6.72068e46i | −2.12983 | + | 0.976085i | ||||
\(847\) | 2.45327e46 | − | 5.96207e46i | 0.349631 | − | 0.849694i | ||||
\(848\) | − | 1.41472e46i | − | 0.197850i | ||||||
\(849\) | −3.82313e46 | + | 3.48010e46i | −0.524682 | + | 0.477604i | ||||
\(850\) | 1.01023e45 | − | 1.74977e45i | 0.0136056 | − | 0.0235656i | ||||
\(851\) | 3.49129e46 | + | 2.01569e46i | 0.461437 | + | 0.266411i | ||||
\(852\) | 3.47679e46 | + | 3.81950e46i | 0.450967 | + | 0.495419i | ||||
\(853\) | 5.22594e46 | 0.665242 | 0.332621 | − | 0.943061i | \(-0.392067\pi\) | ||||
0.332621 | + | 0.943061i | \(0.392067\pi\) | |||||||
\(854\) | 1.89034e45 | + | 1.41039e46i | 0.0236165 | + | 0.176203i | ||||
\(855\) | −4.68261e46 | − | 1.02175e47i | −0.574156 | − | 1.25282i | ||||
\(856\) | −9.81054e45 | − | 1.69924e46i | −0.118063 | − | 0.204491i | ||||
\(857\) | −7.66197e45 | − | 4.42364e45i | −0.0904998 | − | 0.0522501i | 0.454067 | − | 0.890967i | \(-0.349973\pi\) |
−0.544567 | + | 0.838717i | \(0.683306\pi\) | |||||||
\(858\) | 2.32301e46 | + | 7.40884e45i | 0.269311 | + | 0.0858922i | ||||
\(859\) | −7.60960e46 | − | 1.31802e47i | −0.865907 | − | 1.49980i | −0.866144 | − | 0.499795i | \(-0.833409\pi\) |
0.000236310 | − | 1.00000i | \(-0.499925\pi\) | |||||||
\(860\) | 5.28495e46i | 0.590290i | ||||||||
\(861\) | 1.22477e47 | − | 4.44440e46i | 1.34278 | − | 0.487262i | ||||
\(862\) | 2.58435e47 | 2.78122 | ||||||||
\(863\) | 8.52850e46 | − | 4.92393e46i | 0.900948 | − | 0.520163i | 0.0234405 | − | 0.999725i | \(-0.492538\pi\) |
0.877508 | + | 0.479563i | \(0.159205\pi\) | |||||||
\(864\) | −6.70449e45 | − | 5.51418e46i | −0.0695258 | − | 0.571822i | ||||
\(865\) | 7.99442e46 | − | 1.38467e47i | 0.813821 | − | 1.40958i | ||||
\(866\) | −2.85401e47 | + | 1.64776e47i | −2.85213 | + | 1.64668i | ||||
\(867\) | −2.16619e46 | − | 9.92607e46i | −0.212516 | − | 0.973804i | ||||
\(868\) | −8.12957e46 | + | 1.97569e47i | −0.782982 | + | 1.90285i | ||||
\(869\) | 5.26177e46i | 0.497525i | ||||||||
\(870\) | −3.78603e46 | − | 4.15921e46i | −0.351460 | − | 0.386103i | ||||
\(871\) | 4.37066e45 | − | 7.57021e45i | 0.0398343 | − | 0.0689950i | ||||
\(872\) | −1.74456e47 | − | 1.00722e47i | −1.56107 | − | 0.901284i | ||||
\(873\) | 1.16447e47 | + | 8.26884e46i | 1.02306 | + | 0.726468i | ||||
\(874\) | −2.12942e47 | −1.83687 | ||||||||
\(875\) | 1.01583e47 | − | 7.83252e46i | 0.860385 | − | 0.663396i | ||||
\(876\) | −2.43795e46 | − | 1.11714e47i | −0.202749 | − | 0.929052i | ||||
\(877\) | 6.89525e46 | + | 1.19429e47i | 0.563063 | + | 0.975253i | 0.997227 | + | 0.0744193i | \(0.0237103\pi\) |
−0.434165 | + | 0.900834i | \(0.642956\pi\) | |||||||
\(878\) | 2.23584e47 | + | 1.29087e47i | 1.79279 | + | 1.03507i | ||||
\(879\) | 4.90744e45 | − | 1.53870e46i | 0.0386396 | − | 0.121153i | ||||
\(880\) | 7.27636e45 | + | 1.26030e46i | 0.0562590 | + | 0.0974434i | ||||
\(881\) | − | 8.39665e46i | − | 0.637517i | −0.947836 | − | 0.318758i | \(-0.896734\pi\) | ||
0.947836 | − | 0.318758i | \(-0.103266\pi\) | |||||||
\(882\) | 7.73062e46 | − | 2.11127e47i | 0.576391 | − | 1.57415i | ||||
\(883\) | 1.36718e47 | 1.00105 | 0.500523 | − | 0.865723i | \(-0.333141\pi\) | ||||
0.500523 | + | 0.865723i | \(0.333141\pi\) | |||||||
\(884\) | −7.38566e45 | + | 4.26411e45i | −0.0531072 | + | 0.0306614i | ||||
\(885\) | −7.77211e46 | − | 2.47879e46i | −0.548841 | − | 0.175044i | ||||
\(886\) | −2.55516e46 | + | 4.42566e46i | −0.177206 | + | 0.306929i | ||||
\(887\) | −6.12989e46 | + | 3.53910e46i | −0.417518 | + | 0.241054i | −0.694015 | − | 0.719961i | \(-0.744160\pi\) |
0.276497 | + | 0.961015i | \(0.410826\pi\) | |||||||
\(888\) | −1.57042e47 | + | 3.42717e46i | −1.05053 | + | 0.229260i | ||||
\(889\) | 9.15010e46 | + | 1.18671e47i | 0.601171 | + | 0.779682i | ||||
\(890\) | 9.80491e46i | 0.632708i | ||||||||
\(891\) | −8.39053e45 | + | 4.41654e46i | −0.0531798 | + | 0.279923i | ||||
\(892\) | 1.06131e46 | − | 1.83824e46i | 0.0660698 | − | 0.114436i | ||||
\(893\) | 3.22279e47 | + | 1.86068e47i | 1.97064 | + | 1.13775i | ||||
\(894\) | −3.65587e47 | + | 3.32784e47i | −2.19579 | + | 1.99877i | ||||
\(895\) | 9.98881e45 | 0.0589312 | ||||||||
\(896\) | −2.91194e47 | − | 1.19820e47i | −1.68754 | − | 0.694389i | ||||
\(897\) | −6.83556e46 | + | 1.49174e46i | −0.389130 | + | 0.0849208i | ||||
\(898\) | 2.31376e47 | + | 4.00755e47i | 1.29389 | + | 2.24108i | ||||
\(899\) | 6.59395e46 | + | 3.80702e46i | 0.362235 | + | 0.209137i | ||||
\(900\) | −8.91574e45 | + | 9.46992e46i | −0.0481146 | + | 0.511053i | ||||
\(901\) | 2.28940e45 | + | 3.96537e45i | 0.0121374 | + | 0.0210226i | ||||
\(902\) | 1.31001e47i | 0.682291i | ||||||||
\(903\) | 2.56839e46 | + | 7.07786e46i | 0.131418 | + | 0.362158i | ||||
\(904\) | −2.40232e47 | −1.20764 | ||||||||
\(905\) | 1.33139e47 | − | 7.68676e46i | 0.657547 | − | 0.379635i | ||||
\(906\) | 1.40900e47 | − | 4.41786e47i | 0.683693 | − | 2.14369i | ||||
\(907\) | 1.39940e47 | − | 2.42383e47i | 0.667153 | − | 1.15554i | −0.311544 | − | 0.950232i | \(-0.600846\pi\) |
0.978697 | − | 0.205311i | \(-0.0658205\pi\) | |||||||
\(908\) | −4.25479e47 | + | 2.45650e47i | −1.99299 | + | 1.15065i | ||||
\(909\) | 1.20383e47 | + | 2.62677e47i | 0.554040 | + | 1.20893i | ||||
\(910\) | −1.84049e47 | + | 2.46681e46i | −0.832284 | + | 0.111551i | ||||
\(911\) | − | 2.35885e47i | − | 1.04811i | −0.851685 | − | 0.524054i | \(-0.824419\pi\) | ||
0.851685 | − | 0.524054i | \(-0.175581\pi\) | |||||||
\(912\) | 1.28664e47 | − | 1.17119e47i | 0.561744 | − | 0.511341i | ||||
\(913\) | −6.31009e46 | + | 1.09294e47i | −0.270709 | + | 0.468882i | ||||
\(914\) | −3.68137e47 | − | 2.12544e47i | −1.55192 | − | 0.896003i | ||||
\(915\) | 1.45864e46 | + | 1.60242e46i | 0.0604244 | + | 0.0663804i | ||||
\(916\) | 1.85474e47 | 0.755015 | ||||||||
\(917\) | −9.56407e46 | − | 3.93541e46i | −0.382590 | − | 0.157428i | ||||
\(918\) | −1.46673e46 | − | 1.95120e46i | −0.0576589 | − | 0.0767041i | ||||
\(919\) | −5.18247e46 | − | 8.97629e46i | −0.200211 | − | 0.346776i | 0.748385 | − | 0.663264i | \(-0.230829\pi\) |
−0.948596 | + | 0.316488i | \(0.897496\pi\) | |||||||
\(920\) | −1.76473e47 | − | 1.01887e47i | −0.669998 | − | 0.386823i | ||||
\(921\) | −1.04832e47 | − | 3.34345e46i | −0.391148 | − | 0.124750i | ||||
\(922\) | −1.67057e47 | − | 2.89351e47i | −0.612589 | − | 1.06103i | ||||
\(923\) | − | 6.07749e46i | − | 0.219027i | ||||||
\(924\) | 1.11458e47 | + | 9.37079e46i | 0.394784 | + | 0.331913i | ||||
\(925\) | −6.44910e46 | −0.224508 | ||||||||
\(926\) | −2.96070e47 | + | 1.70936e47i | −1.01302 | + | 0.584868i | ||||
\(927\) | 4.21810e46 | − | 4.48028e47i | 0.141854 | − | 1.50671i | ||||
\(928\) | −3.20623e46 | + | 5.55336e46i | −0.105981 | + | 0.183564i | ||||
\(929\) | 3.58856e47 | − | 2.07186e47i | 1.16592 | − | 0.673145i | 0.213205 | − | 0.977007i | \(-0.431610\pi\) |
0.952716 | + | 0.303862i | \(0.0982763\pi\) | |||||||
\(930\) | 1.07683e47 | + | 4.93432e47i | 0.343890 | + | 1.57580i | ||||
\(931\) | −5.00368e47 | + | 1.36582e47i | −1.57071 | + | 0.428745i | ||||
\(932\) | − | 5.47973e47i | − | 1.69085i | ||||||
\(933\) | −1.05949e47 | − | 1.16392e47i | −0.321358 | − | 0.353035i | ||||
\(934\) | 1.78465e47 | − | 3.09110e47i | 0.532111 | − | 0.921644i | ||||
\(935\) | −4.07905e45 | − | 2.35504e45i | −0.0119556 | − | 0.00690259i | ||||
\(936\) | 1.61511e47 | − | 2.27449e47i | 0.465358 | − | 0.655345i | ||||
\(937\) | 5.95008e47 | 1.68535 | 0.842673 | − | 0.538425i | \(-0.180981\pi\) | ||||
0.842673 | + | 0.538425i | \(0.180981\pi\) | |||||||
\(938\) | 6.41801e46 | − | 4.94857e46i | 0.178712 | − | 0.137795i | ||||
\(939\) | 6.57962e45 | + | 3.01496e46i | 0.0180116 | + | 0.0825338i | ||||
\(940\) | 3.97832e47 | + | 6.89065e47i | 1.07067 | + | 1.85445i | ||||
\(941\) | −3.61736e47 | − | 2.08848e47i | −0.957100 | − | 0.552582i | −0.0618210 | − | 0.998087i | \(-0.519691\pi\) |
−0.895279 | + | 0.445505i | \(0.853024\pi\) | |||||||
\(942\) | −2.39380e47 | + | 7.50564e47i | −0.622692 | + | 1.95242i | ||||
\(943\) | −1.87947e47 | − | 3.25534e47i | −0.480671 | − | 0.832547i | ||||
\(944\) | − | 1.26283e47i | − | 0.317536i | ||||||
\(945\) | −8.61055e46 | − | 3.31365e47i | −0.212874 | − | 0.819215i | ||||
\(946\) | −7.57045e46 | −0.184019 | ||||||||
\(947\) | 3.63725e47 | − | 2.09997e47i | 0.869307 | − | 0.501895i | 0.00218940 | − | 0.999998i | \(-0.499303\pi\) |
0.867118 | + | 0.498103i | \(0.165970\pi\) | |||||||
\(948\) | 1.28143e48 | + | 4.08691e47i | 3.01135 | + | 0.960421i | ||||
\(949\) | −6.72725e46 | + | 1.16519e47i | −0.155446 | + | 0.269240i | ||||
\(950\) | 2.95011e47 | − | 1.70324e47i | 0.670285 | − | 0.386990i | ||||
\(951\) | −6.71993e46 | + | 1.46651e46i | −0.150133 | + | 0.0327639i | ||||
\(952\) | −3.50741e46 | + | 4.70098e45i | −0.0770540 | + | 0.0103275i | ||||
\(953\) | 3.53546e47i | 0.763764i | 0.924211 | + | 0.381882i | \(0.124724\pi\) | ||||
−0.924211 | + | 0.381882i | \(0.875276\pi\) | |||||||
\(954\) | −2.72848e47 | − | 1.93748e47i | −0.579624 | − | 0.411589i | ||||
\(955\) | 1.26496e47 | − | 2.19097e47i | 0.264254 | − | 0.457702i | ||||
\(956\) | −1.06872e48 | − | 6.17024e47i | −2.19551 | − | 1.26758i | ||||
\(957\) | 3.83777e46 | − | 3.49343e46i | 0.0775333 | − | 0.0705766i | ||||
\(958\) | −1.25480e48 | −2.49302 | ||||||||
\(959\) | −1.07610e46 | − | 8.02883e46i | −0.0210260 | − | 0.156875i | ||||
\(960\) | −6.16343e47 | + | 1.34506e47i | −1.18436 | + | 0.258465i | ||||
\(961\) | −7.72849e46 | − | 1.33861e47i | −0.146056 | − | 0.252977i | ||||
\(962\) | 3.65975e47 | + | 2.11296e47i | 0.680222 | + | 0.392726i | ||||
\(963\) | −9.46899e46 | − | 8.91487e45i | −0.173094 | − | 0.0162965i | ||||
\(964\) | −7.19920e47 | − | 1.24694e48i | −1.29435 | − | 2.24188i | ||||
\(965\) | 2.62163e47i | 0.463590i | ||||||||
\(966\) | −6.38691e47 | − | 1.13255e47i | −1.11085 | − | 0.196980i | ||||
\(967\) | −9.57771e47 | −1.63847 | −0.819234 | − | 0.573459i | \(-0.805601\pi\) | ||||
−0.819234 | + | 0.573459i | \(0.805601\pi\) | |||||||
\(968\) | 6.42255e47 | − | 3.70806e47i | 1.08069 | − | 0.623938i | ||||
\(969\) | −1.71105e46 | + | 5.36492e46i | −0.0283193 | + | 0.0887938i | ||||
\(970\) | 5.46799e47 | − | 9.47084e47i | 0.890185 | − | 1.54185i | ||||
\(971\) | 6.01508e47 | − | 3.47281e47i | 0.963238 | − | 0.556125i | 0.0660696 | − | 0.997815i | \(-0.478954\pi\) |
0.897168 | + | 0.441690i | \(0.145621\pi\) | |||||||
\(972\) | 1.01042e48 | + | 5.47380e47i | 1.59162 | + | 0.862241i | ||||
\(973\) | 5.13904e47 | + | 6.66503e47i | 0.796299 | + | 1.03275i | ||||
\(974\) | 1.63902e48i | 2.49828i | ||||||||
\(975\) | 8.27680e46 | − | 7.53415e46i | 0.124105 | − | 0.112969i | ||||
\(976\) | −1.67717e46 | + | 2.90494e46i | −0.0247389 | + | 0.0428490i | ||||
\(977\) | −5.85742e47 | − | 3.38179e47i | −0.849950 | − | 0.490719i | 0.0106837 | − | 0.999943i | \(-0.496599\pi\) |
−0.860634 | + | 0.509224i | \(0.829933\pi\) | |||||||
\(978\) | 1.19258e48 | + | 1.31013e48i | 1.70242 | + | 1.87022i | ||||
\(979\) | −9.04715e46 | −0.127054 | ||||||||
\(980\) | −1.07252e48 | − | 2.82017e47i | −1.48180 | − | 0.389635i | ||||
\(981\) | −8.87676e47 | + | 4.06814e47i | −1.20656 | + | 0.552958i | ||||
\(982\) | 4.16426e47 | + | 7.21271e47i | 0.556870 | + | 0.964527i | ||||
\(983\) | 1.28349e48 | + | 7.41026e47i | 1.68864 | + | 0.974938i | 0.955560 | + | 0.294798i | \(0.0952524\pi\) |
0.733082 | + | 0.680140i | \(0.238081\pi\) | |||||||
\(984\) | 1.42789e48 | + | 4.55402e47i | 1.84830 | + | 0.589486i | ||||
\(985\) | 3.80081e47 | + | 6.58320e47i | 0.484057 | + | 0.838412i | ||||
\(986\) | 2.81789e46i | 0.0353097i | ||||||||
\(987\) | 8.67668e47 | + | 7.29490e47i | 1.06974 | + | 0.899383i | ||||
\(988\) | −1.43786e48 | −1.74423 | ||||||||
\(989\) | 1.88124e47 | − | 1.08613e47i | 0.224545 | − | 0.129641i | ||||
\(990\) | 3.42718e47 | + | 3.22663e46i | 0.402508 | + | 0.0378953i | ||||
\(991\) | 5.42901e46 | − | 9.40332e46i | 0.0627397 | − | 0.108668i | −0.832949 | − | 0.553349i | \(-0.813350\pi\) |
0.895689 | + | 0.444681i | \(0.146683\pi\) | |||||||
\(992\) | 4.98672e47 | − | 2.87909e47i | 0.567059 | − | 0.327392i | ||||
\(993\) | −2.04066e47 | − | 9.35087e47i | −0.228341 | − | 1.04632i | ||||
\(994\) | 2.14409e47 | − | 5.21069e47i | 0.236081 | − | 0.573737i | ||||
\(995\) | − | 8.90281e47i | − | 0.964623i | ||||||
\(996\) | 2.17159e48 | + | 2.38564e48i | 2.31541 | + | 2.54364i | ||||
\(997\) | −2.14544e47 | + | 3.71602e47i | −0.225110 | + | 0.389902i | −0.956352 | − | 0.292216i | \(-0.905607\pi\) |
0.731243 | + | 0.682118i | \(0.238941\pi\) | |||||||
\(998\) | −7.27049e47 | − | 4.19762e47i | −0.750715 | − | 0.433426i | ||||
\(999\) | −3.05282e47 | + | 7.16844e47i | −0.310208 | + | 0.728412i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 21.33.h.b.11.9 | yes | 164 | |
3.2 | odd | 2 | inner | 21.33.h.b.11.74 | yes | 164 | |
7.2 | even | 3 | inner | 21.33.h.b.2.74 | yes | 164 | |
21.2 | odd | 6 | inner | 21.33.h.b.2.9 | ✓ | 164 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.33.h.b.2.9 | ✓ | 164 | 21.2 | odd | 6 | inner | |
21.33.h.b.2.74 | yes | 164 | 7.2 | even | 3 | inner | |
21.33.h.b.11.9 | yes | 164 | 1.1 | even | 1 | trivial | |
21.33.h.b.11.74 | yes | 164 | 3.2 | odd | 2 | inner |