Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(6,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.6");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 6.8 | ||
Character | \(\chi\) | \(=\) | 43.6 |
Dual form | 43.10.c.a.36.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −26.2732 | −1.16112 | −0.580562 | − | 0.814216i | \(-0.697167\pi\) | ||||
−0.580562 | + | 0.814216i | \(0.697167\pi\) | |||||||
\(3\) | −64.5490 | + | 111.802i | −0.460091 | + | 0.796902i | −0.998965 | − | 0.0454850i | \(-0.985517\pi\) |
0.538874 | + | 0.842387i | \(0.318850\pi\) | |||||||
\(4\) | 178.282 | 0.348208 | ||||||||
\(5\) | −856.618 | + | 1483.71i | −0.612946 | + | 1.06165i | 0.377795 | + | 0.925889i | \(0.376682\pi\) |
−0.990741 | + | 0.135765i | \(0.956651\pi\) | |||||||
\(6\) | 1695.91 | − | 2937.40i | 0.534223 | − | 0.925301i | ||||
\(7\) | −4325.00 | − | 7491.12i | −0.680840 | − | 1.17925i | −0.974725 | − | 0.223408i | \(-0.928282\pi\) |
0.293885 | − | 0.955841i | \(-0.405052\pi\) | |||||||
\(8\) | 8767.84 | 0.756811 | ||||||||
\(9\) | 1508.35 | + | 2612.53i | 0.0766319 | + | 0.132730i | ||||
\(10\) | 22506.1 | − | 38981.8i | 0.711706 | − | 1.23271i | ||||
\(11\) | 4663.85 | 0.0960456 | 0.0480228 | − | 0.998846i | \(-0.484708\pi\) | ||||
0.0480228 | + | 0.998846i | \(0.484708\pi\) | |||||||
\(12\) | −11508.0 | + | 19932.4i | −0.160207 | + | 0.277487i | ||||
\(13\) | −98804.7 | − | 171135.i | −0.959472 | − | 1.66185i | −0.723785 | − | 0.690026i | \(-0.757599\pi\) |
−0.235687 | − | 0.971829i | \(-0.575734\pi\) | |||||||
\(14\) | 113632. | + | 196816.i | 0.790539 | + | 1.36925i | ||||
\(15\) | −110588. | − | 191544.i | −0.564023 | − | 0.976916i | ||||
\(16\) | −321640. | −1.22696 | ||||||||
\(17\) | −34947.9 | − | 60531.6i | −0.101485 | − | 0.175777i | 0.810812 | − | 0.585307i | \(-0.199026\pi\) |
−0.912297 | + | 0.409530i | \(0.865693\pi\) | |||||||
\(18\) | −39629.1 | − | 68639.6i | −0.0889791 | − | 0.154116i | ||||
\(19\) | 70887.4 | − | 122781.i | 0.124789 | − | 0.216142i | −0.796861 | − | 0.604162i | \(-0.793508\pi\) |
0.921651 | + | 0.388021i | \(0.126841\pi\) | |||||||
\(20\) | −152720. | + | 264519.i | −0.213433 | + | 0.369676i | ||||
\(21\) | 1.11670e6 | 1.25299 | ||||||||
\(22\) | −122534. | −0.111521 | ||||||||
\(23\) | 383607. | − | 664427.i | 0.285832 | − | 0.495076i | −0.686978 | − | 0.726678i | \(-0.741063\pi\) |
0.972811 | + | 0.231602i | \(0.0743967\pi\) | |||||||
\(24\) | −565956. | + | 980264.i | −0.348202 | + | 0.603104i | ||||
\(25\) | −491028. | − | 850485.i | −0.251406 | − | 0.435448i | ||||
\(26\) | 2.59592e6 | + | 4.49626e6i | 1.11407 | + | 1.92962i | ||||
\(27\) | −2.93049e6 | −1.06121 | ||||||||
\(28\) | −771071. | − | 1.33553e6i | −0.237074 | − | 0.410623i | ||||
\(29\) | 3.46117e6 | + | 5.99493e6i | 0.908725 | + | 1.57396i | 0.815837 | + | 0.578281i | \(0.196276\pi\) |
0.0928877 | + | 0.995677i | \(0.470390\pi\) | |||||||
\(30\) | 2.90550e6 | + | 5.03247e6i | 0.654900 | + | 1.13432i | ||||
\(31\) | −1.22088e6 | + | 2.11462e6i | −0.237435 | + | 0.411249i | −0.959977 | − | 0.280077i | \(-0.909640\pi\) |
0.722543 | + | 0.691326i | \(0.242973\pi\) | |||||||
\(32\) | 3.96139e6 | 0.667840 | ||||||||
\(33\) | −301047. | + | 521429.i | −0.0441898 | + | 0.0765389i | ||||
\(34\) | 918195. | + | 1.59036e6i | 0.117836 | + | 0.204099i | ||||
\(35\) | 1.48195e7 | 1.66927 | ||||||||
\(36\) | 268911. | + | 465768.i | 0.0266838 | + | 0.0462177i | ||||
\(37\) | 6.26387e6 | − | 1.08493e7i | 0.549458 | − | 0.951689i | −0.448854 | − | 0.893605i | \(-0.648168\pi\) |
0.998312 | − | 0.0580841i | \(-0.0184992\pi\) | |||||||
\(38\) | −1.86244e6 | + | 3.22584e6i | −0.144896 | + | 0.250967i | ||||
\(39\) | 2.55110e7 | 1.76578 | ||||||||
\(40\) | −7.51069e6 | + | 1.30089e7i | −0.463885 | + | 0.803472i | ||||
\(41\) | 1.39602e6 | 0.0771548 | 0.0385774 | − | 0.999256i | \(-0.487717\pi\) | ||||
0.0385774 | + | 0.999256i | \(0.487717\pi\) | |||||||
\(42\) | −2.93393e7 | −1.45488 | ||||||||
\(43\) | 2.58527e6 | + | 2.22690e7i | 0.115318 | + | 0.993329i | ||||
\(44\) | 831482. | 0.0334438 | ||||||||
\(45\) | −5.16831e6 | −0.187885 | ||||||||
\(46\) | −1.00786e7 | + | 1.74566e7i | −0.331886 | + | 0.574844i | ||||
\(47\) | −2.95069e7 | −0.882029 | −0.441015 | − | 0.897500i | \(-0.645381\pi\) | ||||
−0.441015 | + | 0.897500i | \(0.645381\pi\) | |||||||
\(48\) | 2.07615e7 | − | 3.59601e7i | 0.564513 | − | 0.977766i | ||||
\(49\) | −1.72344e7 | + | 2.98509e7i | −0.427085 | + | 0.739733i | ||||
\(50\) | 1.29009e7 | + | 2.23450e7i | 0.291914 | + | 0.505609i | ||||
\(51\) | 9.02342e6 | 0.186769 | ||||||||
\(52\) | −1.76151e7 | − | 3.05103e7i | −0.334096 | − | 0.578671i | ||||
\(53\) | 891810. | − | 1.54466e6i | 0.0155250 | − | 0.0268900i | −0.858159 | − | 0.513385i | \(-0.828391\pi\) |
0.873684 | + | 0.486495i | \(0.161725\pi\) | |||||||
\(54\) | 7.69933e7 | 1.23220 | ||||||||
\(55\) | −3.99514e6 | + | 6.91979e6i | −0.0588708 | + | 0.101967i | ||||
\(56\) | −3.79209e7 | − | 6.56809e7i | −0.515267 | − | 0.892469i | ||||
\(57\) | 9.15142e6 | + | 1.58507e7i | 0.114829 | + | 0.198890i | ||||
\(58\) | −9.09362e7 | − | 1.57506e8i | −1.05514 | − | 1.82756i | ||||
\(59\) | −1.36750e8 | −1.46924 | −0.734622 | − | 0.678476i | \(-0.762641\pi\) | ||||
−0.734622 | + | 0.678476i | \(0.762641\pi\) | |||||||
\(60\) | −1.97158e7 | − | 3.41488e7i | −0.196397 | − | 0.340170i | ||||
\(61\) | −7.89953e7 | − | 1.36824e8i | −0.730494 | − | 1.26525i | −0.956672 | − | 0.291167i | \(-0.905956\pi\) |
0.226178 | − | 0.974086i | \(-0.427377\pi\) | |||||||
\(62\) | 3.20764e7 | − | 5.55579e7i | 0.275691 | − | 0.477511i | ||||
\(63\) | 1.30472e7 | − | 2.25984e7i | 0.104348 | − | 0.180736i | ||||
\(64\) | 6.06013e7 | 0.451515 | ||||||||
\(65\) | 3.38552e8 | 2.35242 | ||||||||
\(66\) | 7.90948e6 | − | 1.36996e7i | 0.0513098 | − | 0.0888711i | ||||
\(67\) | −4.47819e7 | + | 7.75644e7i | −0.271497 | + | 0.470247i | −0.969245 | − | 0.246096i | \(-0.920852\pi\) |
0.697748 | + | 0.716343i | \(0.254185\pi\) | |||||||
\(68\) | −6.23060e6 | − | 1.07917e7i | −0.0353378 | − | 0.0612069i | ||||
\(69\) | 4.95229e7 | + | 8.57762e7i | 0.263018 | + | 0.455560i | ||||
\(70\) | −3.89356e8 | −1.93823 | ||||||||
\(71\) | 1.97112e7 | + | 3.41407e7i | 0.0920555 | + | 0.159445i | 0.908376 | − | 0.418155i | \(-0.137323\pi\) |
−0.816320 | + | 0.577599i | \(0.803990\pi\) | |||||||
\(72\) | 1.32249e7 | + | 2.29063e7i | 0.0579959 | + | 0.100452i | ||||
\(73\) | 1.60061e8 | + | 2.77233e8i | 0.659678 | + | 1.14260i | 0.980699 | + | 0.195523i | \(0.0626406\pi\) |
−0.321021 | + | 0.947072i | \(0.604026\pi\) | |||||||
\(74\) | −1.64572e8 | + | 2.85047e8i | −0.637989 | + | 1.10503i | ||||
\(75\) | 1.26781e8 | 0.462679 | ||||||||
\(76\) | 1.26380e7 | − | 2.18896e7i | 0.0434526 | − | 0.0752622i | ||||
\(77\) | −2.01712e7 | − | 3.49375e7i | −0.0653917 | − | 0.113262i | ||||
\(78\) | −6.70256e8 | −2.05029 | ||||||||
\(79\) | 2.12648e8 | + | 3.68318e8i | 0.614243 | + | 1.06390i | 0.990517 | + | 0.137391i | \(0.0438717\pi\) |
−0.376274 | + | 0.926508i | \(0.622795\pi\) | |||||||
\(80\) | 2.75523e8 | − | 4.77219e8i | 0.752060 | − | 1.30261i | ||||
\(81\) | 1.59471e8 | − | 2.76212e8i | 0.411623 | − | 0.712952i | ||||
\(82\) | −3.66778e7 | −0.0895862 | ||||||||
\(83\) | 1.83047e8 | − | 3.17047e8i | 0.423361 | − | 0.733283i | −0.572905 | − | 0.819622i | \(-0.694183\pi\) |
0.996266 | + | 0.0863388i | \(0.0275168\pi\) | |||||||
\(84\) | 1.99087e8 | 0.436302 | ||||||||
\(85\) | 1.19748e8 | 0.248819 | ||||||||
\(86\) | −6.79234e7 | − | 5.85079e8i | −0.133899 | − | 1.15338i | ||||
\(87\) | −8.93662e8 | −1.67239 | ||||||||
\(88\) | 4.08919e7 | 0.0726884 | ||||||||
\(89\) | 1.60464e8 | − | 2.77931e8i | 0.271095 | − | 0.469551i | −0.698047 | − | 0.716052i | \(-0.745948\pi\) |
0.969143 | + | 0.246501i | \(0.0792809\pi\) | |||||||
\(90\) | 1.35788e8 | 0.218158 | ||||||||
\(91\) | −8.54660e8 | + | 1.48031e9i | −1.30649 | + | 2.26291i | ||||
\(92\) | 6.83903e7 | − | 1.18456e8i | 0.0995290 | − | 0.172389i | ||||
\(93\) | −1.57613e8 | − | 2.72993e8i | −0.218483 | − | 0.378424i | ||||
\(94\) | 7.75241e8 | 1.02414 | ||||||||
\(95\) | 1.21447e8 | + | 2.10352e8i | 0.152978 | + | 0.264966i | ||||
\(96\) | −2.55704e8 | + | 4.42892e8i | −0.307267 | + | 0.532202i | ||||
\(97\) | 1.21324e9 | 1.39147 | 0.695736 | − | 0.718297i | \(-0.255078\pi\) | ||||
0.695736 | + | 0.718297i | \(0.255078\pi\) | |||||||
\(98\) | 4.52804e8 | − | 7.84280e8i | 0.495899 | − | 0.858922i | ||||
\(99\) | 7.03470e6 | + | 1.21845e7i | 0.00736016 | + | 0.0127482i | ||||
\(100\) | −8.75416e7 | − | 1.51626e8i | −0.0875416 | − | 0.151626i | ||||
\(101\) | 9.47797e8 | + | 1.64163e9i | 0.906295 | + | 1.56975i | 0.819170 | + | 0.573551i | \(0.194434\pi\) |
0.0871245 | + | 0.996197i | \(0.472232\pi\) | |||||||
\(102\) | −2.37074e8 | −0.216862 | ||||||||
\(103\) | −4.47931e8 | − | 7.75840e8i | −0.392142 | − | 0.679210i | 0.600590 | − | 0.799558i | \(-0.294933\pi\) |
−0.992732 | + | 0.120347i | \(0.961599\pi\) | |||||||
\(104\) | −8.66304e8 | − | 1.50048e9i | −0.726139 | − | 1.25771i | ||||
\(105\) | −9.56584e8 | + | 1.65685e9i | −0.768018 | + | 1.33025i | ||||
\(106\) | −2.34307e7 | + | 4.05832e7i | −0.0180264 | + | 0.0312226i | ||||
\(107\) | −1.15385e8 | −0.0850987 | −0.0425494 | − | 0.999094i | \(-0.513548\pi\) | ||||
−0.0425494 | + | 0.999094i | \(0.513548\pi\) | |||||||
\(108\) | −5.22454e8 | −0.369523 | ||||||||
\(109\) | 7.48130e8 | − | 1.29580e9i | 0.507642 | − | 0.879263i | −0.492318 | − | 0.870415i | \(-0.663850\pi\) |
0.999961 | − | 0.00884737i | \(-0.00281624\pi\) | |||||||
\(110\) | 1.04965e8 | − | 1.81805e8i | 0.0683563 | − | 0.118397i | ||||
\(111\) | 8.08653e8 | + | 1.40063e9i | 0.505602 | + | 0.875728i | ||||
\(112\) | 1.39109e9 | + | 2.40944e9i | 0.835362 | + | 1.44689i | ||||
\(113\) | 4.92722e8 | 0.284282 | 0.142141 | − | 0.989846i | \(-0.454601\pi\) | ||||
0.142141 | + | 0.989846i | \(0.454601\pi\) | |||||||
\(114\) | −2.40437e8 | − | 4.16450e8i | −0.133331 | − | 0.230936i | ||||
\(115\) | 6.57210e8 | + | 1.13832e9i | 0.350400 | + | 0.606910i | ||||
\(116\) | 6.17066e8 | + | 1.06879e9i | 0.316425 | + | 0.548064i | ||||
\(117\) | 2.98063e8 | − | 5.16261e8i | 0.147052 | − | 0.254702i | ||||
\(118\) | 3.59287e9 | 1.70597 | ||||||||
\(119\) | −3.02299e8 | + | 5.23598e8i | −0.138190 | + | 0.239352i | ||||
\(120\) | −9.69616e8 | − | 1.67942e9i | −0.426859 | − | 0.739341i | ||||
\(121\) | −2.33620e9 | −0.990775 | ||||||||
\(122\) | 2.07546e9 | + | 3.59480e9i | 0.848194 | + | 1.46912i | ||||
\(123\) | −9.01114e7 | + | 1.56078e8i | −0.0354982 | + | 0.0614848i | ||||
\(124\) | −2.17661e8 | + | 3.76999e8i | −0.0826765 | + | 0.143200i | ||||
\(125\) | −1.66367e9 | −0.609498 | ||||||||
\(126\) | −3.42792e8 | + | 5.93733e8i | −0.121161 | + | 0.209857i | ||||
\(127\) | 5.22368e9 | 1.78180 | 0.890901 | − | 0.454197i | \(-0.150074\pi\) | ||||
0.890901 | + | 0.454197i | \(0.150074\pi\) | |||||||
\(128\) | −3.62042e9 | −1.19210 | ||||||||
\(129\) | −2.65660e9 | − | 1.14840e9i | −0.844642 | − | 0.365125i | ||||
\(130\) | −8.89484e9 | −2.73145 | ||||||||
\(131\) | −3.37344e8 | −0.100081 | −0.0500405 | − | 0.998747i | \(-0.515935\pi\) | ||||
−0.0500405 | + | 0.998747i | \(0.515935\pi\) | |||||||
\(132\) | −5.36714e7 | + | 9.29616e7i | −0.0153872 | + | 0.0266514i | ||||
\(133\) | −1.22635e9 | −0.339846 | ||||||||
\(134\) | 1.17656e9 | − | 2.03787e9i | 0.315242 | − | 0.546015i | ||||
\(135\) | 2.51031e9 | − | 4.34798e9i | 0.650467 | − | 1.12664i | ||||
\(136\) | −3.06418e8 | − | 5.30731e8i | −0.0768049 | − | 0.133030i | ||||
\(137\) | 5.91017e9 | 1.43337 | 0.716683 | − | 0.697399i | \(-0.245659\pi\) | ||||
0.716683 | + | 0.697399i | \(0.245659\pi\) | |||||||
\(138\) | −1.30113e9 | − | 2.25362e9i | −0.305396 | − | 0.528962i | ||||
\(139\) | 3.99865e8 | − | 6.92587e8i | 0.0908546 | − | 0.157365i | −0.817016 | − | 0.576614i | \(-0.804373\pi\) |
0.907871 | + | 0.419250i | \(0.137707\pi\) | |||||||
\(140\) | 2.64205e9 | 0.581253 | ||||||||
\(141\) | 1.90464e9 | − | 3.29893e9i | 0.405814 | − | 0.702890i | ||||
\(142\) | −5.17876e8 | − | 8.96987e8i | −0.106888 | − | 0.185135i | ||||
\(143\) | −4.60810e8 | − | 7.98147e8i | −0.0921531 | − | 0.159614i | ||||
\(144\) | −4.85144e8 | − | 8.40295e8i | −0.0940242 | − | 0.162855i | ||||
\(145\) | −1.18596e10 | −2.22800 | ||||||||
\(146\) | −4.20531e9 | − | 7.28381e9i | −0.765967 | − | 1.32669i | ||||
\(147\) | −2.22493e9 | − | 3.85369e9i | −0.392996 | − | 0.680690i | ||||
\(148\) | 1.11674e9 | − | 1.93424e9i | 0.191326 | − | 0.331386i | ||||
\(149\) | 1.87306e9 | − | 3.24424e9i | 0.311325 | − | 0.539231i | −0.667324 | − | 0.744767i | \(-0.732560\pi\) |
0.978650 | + | 0.205536i | \(0.0658938\pi\) | |||||||
\(150\) | −3.33096e9 | −0.537228 | ||||||||
\(151\) | 7.89126e9 | 1.23524 | 0.617619 | − | 0.786478i | \(-0.288098\pi\) | ||||
0.617619 | + | 0.786478i | \(0.288098\pi\) | |||||||
\(152\) | 6.21529e8 | − | 1.07652e9i | 0.0944420 | − | 0.163578i | ||||
\(153\) | 1.05427e8 | − | 1.82605e8i | 0.0155540 | − | 0.0269402i | ||||
\(154\) | 5.29961e8 | + | 9.17920e8i | 0.0759278 | + | 0.131511i | ||||
\(155\) | −2.09165e9 | − | 3.62284e9i | −0.291069 | − | 0.504147i | ||||
\(156\) | 4.54816e9 | 0.614858 | ||||||||
\(157\) | 6.08576e9 | + | 1.05409e10i | 0.799405 | + | 1.38461i | 0.920004 | + | 0.391908i | \(0.128185\pi\) |
−0.120600 | + | 0.992701i | \(0.538482\pi\) | |||||||
\(158\) | −5.58696e9 | − | 9.67689e9i | −0.713211 | − | 1.23532i | ||||
\(159\) | 1.15131e8 | + | 1.99413e8i | 0.0142858 | + | 0.0247437i | ||||
\(160\) | −3.39340e9 | + | 5.87753e9i | −0.409350 | + | 0.709015i | ||||
\(161\) | −6.63640e9 | −0.778424 | ||||||||
\(162\) | −4.18982e9 | + | 7.25699e9i | −0.477945 | + | 0.827826i | ||||
\(163\) | −3.81917e9 | − | 6.61499e9i | −0.423764 | − | 0.733981i | 0.572540 | − | 0.819877i | \(-0.305958\pi\) |
−0.996304 | + | 0.0858957i | \(0.972625\pi\) | |||||||
\(164\) | 2.48885e8 | 0.0268659 | ||||||||
\(165\) | −5.15765e8 | − | 8.93331e8i | −0.0541719 | − | 0.0938285i | ||||
\(166\) | −4.80923e9 | + | 8.32984e9i | −0.491575 | + | 0.851432i | ||||
\(167\) | −3.44262e9 | + | 5.96280e9i | −0.342504 | + | 0.593234i | −0.984897 | − | 0.173141i | \(-0.944608\pi\) |
0.642393 | + | 0.766375i | \(0.277942\pi\) | |||||||
\(168\) | 9.79103e9 | 0.948280 | ||||||||
\(169\) | −1.42225e10 | + | 2.46341e10i | −1.34117 | + | 2.32298i | ||||
\(170\) | −3.14617e9 | −0.288910 | ||||||||
\(171\) | 4.27691e8 | 0.0382514 | ||||||||
\(172\) | 4.60908e8 | + | 3.97017e9i | 0.0401547 | + | 0.345885i | ||||
\(173\) | 1.26098e10 | 1.07029 | 0.535145 | − | 0.844760i | \(-0.320257\pi\) | ||||
0.535145 | + | 0.844760i | \(0.320257\pi\) | |||||||
\(174\) | 2.34794e10 | 1.94185 | ||||||||
\(175\) | −4.24739e9 | + | 7.35669e9i | −0.342335 | + | 0.592941i | ||||
\(176\) | −1.50008e9 | −0.117844 | ||||||||
\(177\) | 8.82710e9 | − | 1.52890e10i | 0.675987 | − | 1.17084i | ||||
\(178\) | −4.21590e9 | + | 7.30215e9i | −0.314775 | + | 0.545206i | ||||
\(179\) | 6.88029e9 | + | 1.19170e10i | 0.500920 | + | 0.867618i | 0.999999 | + | 0.00106226i | \(0.000338129\pi\) |
−0.499080 | + | 0.866556i | \(0.666329\pi\) | |||||||
\(180\) | −9.21418e8 | −0.0654230 | ||||||||
\(181\) | 3.37417e9 | + | 5.84424e9i | 0.233676 | + | 0.404738i | 0.958887 | − | 0.283788i | \(-0.0915913\pi\) |
−0.725211 | + | 0.688526i | \(0.758258\pi\) | |||||||
\(182\) | 2.24547e10 | − | 3.88926e10i | 1.51700 | − | 2.62752i | ||||
\(183\) | 2.03963e10 | 1.34438 | ||||||||
\(184\) | 3.36340e9 | − | 5.82559e9i | 0.216321 | − | 0.374679i | ||||
\(185\) | 1.07315e10 | + | 1.85875e10i | 0.673577 | + | 1.16667i | ||||
\(186\) | 4.14099e9 | + | 7.17241e9i | 0.253686 | + | 0.439397i | ||||
\(187\) | −1.62992e8 | − | 2.82310e8i | −0.00974718 | − | 0.0168826i | ||||
\(188\) | −5.26056e9 | −0.307129 | ||||||||
\(189\) | 1.26743e10 | + | 2.19526e10i | 0.722516 | + | 1.25143i | ||||
\(190\) | −3.19080e9 | − | 5.52663e9i | −0.177627 | − | 0.307659i | ||||
\(191\) | 1.03376e10 | − | 1.79052e10i | 0.562042 | − | 0.973485i | −0.435276 | − | 0.900297i | \(-0.643349\pi\) |
0.997318 | − | 0.0731884i | \(-0.0233174\pi\) | |||||||
\(192\) | −3.91176e9 | + | 6.77536e9i | −0.207738 | + | 0.359813i | ||||
\(193\) | −3.57860e10 | −1.85654 | −0.928272 | − | 0.371902i | \(-0.878706\pi\) | ||||
−0.928272 | + | 0.371902i | \(0.878706\pi\) | |||||||
\(194\) | −3.18758e10 | −1.61567 | ||||||||
\(195\) | −2.18532e10 | + | 3.78508e10i | −1.08233 | + | 1.87465i | ||||
\(196\) | −3.07259e9 | + | 5.32189e9i | −0.148714 | + | 0.257581i | ||||
\(197\) | 1.44651e10 | + | 2.50543e10i | 0.684265 | + | 1.18518i | 0.973667 | + | 0.227974i | \(0.0732100\pi\) |
−0.289403 | + | 0.957207i | \(0.593457\pi\) | |||||||
\(198\) | −1.84824e8 | − | 3.20125e8i | −0.00854606 | − | 0.0148022i | ||||
\(199\) | 1.68285e10 | 0.760689 | 0.380345 | − | 0.924845i | \(-0.375805\pi\) | ||||
0.380345 | + | 0.924845i | \(0.375805\pi\) | |||||||
\(200\) | −4.30525e9 | − | 7.45692e9i | −0.190267 | − | 0.329552i | ||||
\(201\) | −5.78125e9 | − | 1.00134e10i | −0.249827 | − | 0.432713i | ||||
\(202\) | −2.49017e10 | − | 4.31310e10i | −1.05232 | − | 1.82267i | ||||
\(203\) | 2.99392e10 | − | 5.18561e10i | 1.23739 | − | 2.14323i | ||||
\(204\) | 1.60872e9 | 0.0650345 | ||||||||
\(205\) | −1.19585e9 | + | 2.07128e9i | −0.0472917 | + | 0.0819117i | ||||
\(206\) | 1.17686e10 | + | 2.03838e10i | 0.455326 | + | 0.788647i | ||||
\(207\) | 2.31445e9 | 0.0876155 | ||||||||
\(208\) | 3.17795e10 | + | 5.50438e10i | 1.17723 | + | 2.03903i | ||||
\(209\) | 3.30608e8 | − | 5.72630e8i | 0.0119855 | − | 0.0207595i | ||||
\(210\) | 2.51325e10 | − | 4.35308e10i | 0.891763 | − | 1.54458i | ||||
\(211\) | −2.27148e10 | −0.788928 | −0.394464 | − | 0.918911i | \(-0.629070\pi\) | ||||
−0.394464 | + | 0.918911i | \(0.629070\pi\) | |||||||
\(212\) | 1.58994e8 | − | 2.75385e8i | 0.00540591 | − | 0.00936331i | ||||
\(213\) | −5.08934e9 | −0.169416 | ||||||||
\(214\) | 3.03154e9 | 0.0988101 | ||||||||
\(215\) | −3.52553e10 | − | 1.52403e10i | −1.12526 | − | 0.486429i | ||||
\(216\) | −2.56940e10 | −0.803138 | ||||||||
\(217\) | 2.11212e10 | 0.646620 | ||||||||
\(218\) | −1.96558e10 | + | 3.40448e10i | −0.589436 | + | 1.02093i | ||||
\(219\) | −4.13270e10 | −1.21405 | ||||||||
\(220\) | −7.12263e8 | + | 1.23368e9i | −0.0204993 | + | 0.0355058i | ||||
\(221\) | −6.90604e9 | + | 1.19616e10i | −0.194744 | + | 0.337306i | ||||
\(222\) | −2.12459e10 | − | 3.67990e10i | −0.587066 | − | 1.01683i | ||||
\(223\) | 2.25155e9 | 0.0609690 | 0.0304845 | − | 0.999535i | \(-0.490295\pi\) | ||||
0.0304845 | + | 0.999535i | \(0.490295\pi\) | |||||||
\(224\) | −1.71330e10 | − | 2.96752e10i | −0.454692 | − | 0.787549i | ||||
\(225\) | 1.48128e9 | − | 2.56565e9i | 0.0385315 | − | 0.0667385i | ||||
\(226\) | −1.29454e10 | −0.330086 | ||||||||
\(227\) | 2.70655e10 | − | 4.68788e10i | 0.676549 | − | 1.17182i | −0.299465 | − | 0.954107i | \(-0.596808\pi\) |
0.976014 | − | 0.217710i | \(-0.0698586\pi\) | |||||||
\(228\) | 1.63154e9 | + | 2.82591e9i | 0.0399844 | + | 0.0692549i | ||||
\(229\) | 1.02424e10 | + | 1.77404e10i | 0.246118 | + | 0.426289i | 0.962445 | − | 0.271475i | \(-0.0875116\pi\) |
−0.716327 | + | 0.697764i | \(0.754178\pi\) | |||||||
\(230\) | −1.72670e10 | − | 2.99073e10i | −0.406857 | − | 0.704697i | ||||
\(231\) | 5.20811e9 | 0.120345 | ||||||||
\(232\) | 3.03470e10 | + | 5.25626e10i | 0.687733 | + | 1.19119i | ||||
\(233\) | 2.12554e10 | + | 3.68155e10i | 0.472464 | + | 0.818331i | 0.999503 | − | 0.0315097i | \(-0.0100315\pi\) |
−0.527040 | + | 0.849841i | \(0.676698\pi\) | |||||||
\(234\) | −7.83108e9 | + | 1.35638e10i | −0.170746 | + | 0.295741i | ||||
\(235\) | 2.52761e10 | − | 4.37796e10i | 0.540636 | − | 0.936410i | ||||
\(236\) | −2.43802e10 | −0.511602 | ||||||||
\(237\) | −5.49050e10 | −1.13043 | ||||||||
\(238\) | 7.94238e9 | − | 1.37566e10i | 0.160455 | − | 0.277917i | ||||
\(239\) | 1.64563e10 | − | 2.85031e10i | 0.326243 | − | 0.565070i | −0.655520 | − | 0.755178i | \(-0.727551\pi\) |
0.981763 | + | 0.190108i | \(0.0608838\pi\) | |||||||
\(240\) | 3.55694e10 | + | 6.16081e10i | 0.692033 | + | 1.19864i | ||||
\(241\) | −2.79880e10 | − | 4.84766e10i | −0.534435 | − | 0.925669i | −0.999190 | − | 0.0402298i | \(-0.987191\pi\) |
0.464755 | − | 0.885439i | \(-0.346142\pi\) | |||||||
\(242\) | 6.13794e10 | 1.15041 | ||||||||
\(243\) | −8.25295e9 | − | 1.42945e10i | −0.151838 | − | 0.262991i | ||||
\(244\) | −1.40835e10 | − | 2.43933e10i | −0.254364 | − | 0.440571i | ||||
\(245\) | −2.95267e10 | − | 5.11417e10i | −0.523561 | − | 0.906833i | ||||
\(246\) | 2.36752e9 | − | 4.10066e9i | 0.0412178 | − | 0.0713914i | ||||
\(247\) | −2.80160e10 | −0.478928 | ||||||||
\(248\) | −1.07044e10 | + | 1.85406e10i | −0.179693 | + | 0.311238i | ||||
\(249\) | 2.36310e10 | + | 4.09301e10i | 0.389570 | + | 0.674755i | ||||
\(250\) | 4.37100e10 | 0.707703 | ||||||||
\(251\) | 6.60513e9 | + | 1.14404e10i | 0.105039 | + | 0.181932i | 0.913754 | − | 0.406268i | \(-0.133170\pi\) |
−0.808715 | + | 0.588200i | \(0.799837\pi\) | |||||||
\(252\) | 2.32608e9 | − | 4.02889e9i | 0.0363348 | − | 0.0629337i | ||||
\(253\) | 1.78909e9 | − | 3.09879e9i | 0.0274529 | − | 0.0475499i | ||||
\(254\) | −1.37243e11 | −2.06889 | ||||||||
\(255\) | −7.72963e9 | + | 1.33881e10i | −0.114480 | + | 0.198284i | ||||
\(256\) | 6.40923e10 | 0.932665 | ||||||||
\(257\) | 5.90429e10 | 0.844246 | 0.422123 | − | 0.906539i | \(-0.361285\pi\) | ||||
0.422123 | + | 0.906539i | \(0.361285\pi\) | |||||||
\(258\) | 6.97975e10 | + | 3.01723e10i | 0.980734 | + | 0.423955i | ||||
\(259\) | −1.08365e11 | −1.49637 | ||||||||
\(260\) | 6.03578e10 | 0.819131 | ||||||||
\(261\) | −1.04413e10 | + | 1.80849e10i | −0.139275 | + | 0.241231i | ||||
\(262\) | 8.86311e9 | 0.116206 | ||||||||
\(263\) | 7.35251e10 | − | 1.27349e11i | 0.947621 | − | 1.64133i | 0.197205 | − | 0.980362i | \(-0.436813\pi\) |
0.750416 | − | 0.660966i | \(-0.229853\pi\) | |||||||
\(264\) | −2.63953e9 | + | 4.57181e9i | −0.0334433 | + | 0.0579255i | ||||
\(265\) | 1.52788e9 | + | 2.64637e9i | 0.0190319 | + | 0.0329643i | ||||
\(266\) | 3.22202e10 | 0.394604 | ||||||||
\(267\) | 2.07155e10 | + | 3.58804e10i | 0.249457 | + | 0.432072i | ||||
\(268\) | −7.98381e9 | + | 1.38284e10i | −0.0945374 | + | 0.163744i | ||||
\(269\) | −7.33007e9 | −0.0853538 | −0.0426769 | − | 0.999089i | \(-0.513589\pi\) | ||||
−0.0426769 | + | 0.999089i | \(0.513589\pi\) | |||||||
\(270\) | −6.59539e10 | + | 1.14236e11i | −0.755272 | + | 1.30817i | ||||
\(271\) | 4.68404e9 | + | 8.11299e9i | 0.0527544 | + | 0.0913733i | 0.891197 | − | 0.453617i | \(-0.149867\pi\) |
−0.838442 | + | 0.544990i | \(0.816533\pi\) | |||||||
\(272\) | 1.12406e10 | + | 1.94694e10i | 0.124518 | + | 0.215671i | ||||
\(273\) | −1.10335e11 | − | 1.91106e11i | −1.20221 | − | 2.08229i | ||||
\(274\) | −1.55279e11 | −1.66432 | ||||||||
\(275\) | −2.29008e9 | − | 3.96654e9i | −0.0241465 | − | 0.0418229i | ||||
\(276\) | 8.82906e9 | + | 1.52924e10i | 0.0915848 | + | 0.158630i | ||||
\(277\) | −3.49012e10 | + | 6.04506e10i | −0.356189 | + | 0.616938i | −0.987321 | − | 0.158738i | \(-0.949258\pi\) |
0.631131 | + | 0.775676i | \(0.282591\pi\) | |||||||
\(278\) | −1.05057e10 | + | 1.81965e10i | −0.105493 | + | 0.182720i | ||||
\(279\) | −7.36601e9 | −0.0727803 | ||||||||
\(280\) | 1.29935e11 | 1.26332 | ||||||||
\(281\) | −1.54082e10 | + | 2.66878e10i | −0.147426 | + | 0.255349i | −0.930275 | − | 0.366862i | \(-0.880432\pi\) |
0.782849 | + | 0.622211i | \(0.213765\pi\) | |||||||
\(282\) | −5.00410e10 | + | 8.66736e10i | −0.471200 | + | 0.816143i | ||||
\(283\) | 1.50062e10 | + | 2.59915e10i | 0.139069 | + | 0.240875i | 0.927145 | − | 0.374704i | \(-0.122256\pi\) |
−0.788075 | + | 0.615579i | \(0.788922\pi\) | |||||||
\(284\) | 3.51415e9 | + | 6.08669e9i | 0.0320544 | + | 0.0555199i | ||||
\(285\) | −3.13571e10 | −0.281536 | ||||||||
\(286\) | 1.21070e10 | + | 2.09699e10i | 0.107001 | + | 0.185331i | ||||
\(287\) | −6.03776e9 | − | 1.04577e10i | −0.0525300 | − | 0.0909847i | ||||
\(288\) | 5.97514e9 | + | 1.03492e10i | 0.0511778 | + | 0.0886426i | ||||
\(289\) | 5.68512e10 | − | 9.84692e10i | 0.479402 | − | 0.830348i | ||||
\(290\) | 3.11591e11 | 2.58698 | ||||||||
\(291\) | −7.83136e10 | + | 1.35643e11i | −0.640204 | + | 1.10887i | ||||
\(292\) | 2.85360e10 | + | 4.94258e10i | 0.229705 | + | 0.397860i | ||||
\(293\) | −4.95877e10 | −0.393070 | −0.196535 | − | 0.980497i | \(-0.562969\pi\) | ||||
−0.196535 | + | 0.980497i | \(0.562969\pi\) | |||||||
\(294\) | 5.84561e10 | + | 1.01249e11i | 0.456317 | + | 0.790365i | ||||
\(295\) | 1.17143e11 | − | 2.02897e11i | 0.900568 | − | 1.55983i | ||||
\(296\) | 5.49206e10 | − | 9.51252e10i | 0.415836 | − | 0.720249i | ||||
\(297\) | −1.36674e10 | −0.101925 | ||||||||
\(298\) | −4.92114e10 | + | 8.52367e10i | −0.361487 | + | 0.626114i | ||||
\(299\) | −1.51609e11 | −1.09699 | ||||||||
\(300\) | 2.26029e10 | 0.161108 | ||||||||
\(301\) | 1.55639e11 | − | 1.15680e11i | 1.09287 | − | 0.812286i | ||||
\(302\) | −2.07329e11 | −1.43426 | ||||||||
\(303\) | −2.44718e11 | −1.66791 | ||||||||
\(304\) | −2.28002e10 | + | 3.94911e10i | −0.153112 | + | 0.265197i | ||||
\(305\) | 2.70675e11 | 1.79101 | ||||||||
\(306\) | −2.76991e9 | + | 4.79763e9i | −0.0180601 | + | 0.0312810i | ||||
\(307\) | −7.21955e10 | + | 1.25046e11i | −0.463861 | + | 0.803431i | −0.999149 | − | 0.0412388i | \(-0.986870\pi\) |
0.535288 | + | 0.844669i | \(0.320203\pi\) | |||||||
\(308\) | −3.59616e9 | − | 6.22873e9i | −0.0227699 | − | 0.0394386i | ||||
\(309\) | 1.15654e11 | 0.721685 | ||||||||
\(310\) | 5.49544e10 | + | 9.51838e10i | 0.337967 | + | 0.585377i | ||||
\(311\) | −5.80887e10 | + | 1.00613e11i | −0.352103 | + | 0.609861i | −0.986618 | − | 0.163050i | \(-0.947867\pi\) |
0.634515 | + | 0.772911i | \(0.281200\pi\) | |||||||
\(312\) | 2.23676e11 | 1.33636 | ||||||||
\(313\) | 3.17110e10 | − | 5.49251e10i | 0.186750 | − | 0.323461i | −0.757415 | − | 0.652934i | \(-0.773538\pi\) |
0.944165 | + | 0.329473i | \(0.106871\pi\) | |||||||
\(314\) | −1.59893e11 | − | 2.76942e11i | −0.928207 | − | 1.60770i | ||||
\(315\) | 2.23529e10 | + | 3.87164e10i | 0.127920 | + | 0.221563i | ||||
\(316\) | 3.79114e10 | + | 6.56645e10i | 0.213884 | + | 0.370458i | ||||
\(317\) | −1.76626e11 | −0.982401 | −0.491200 | − | 0.871047i | \(-0.663442\pi\) | ||||
−0.491200 | + | 0.871047i | \(0.663442\pi\) | |||||||
\(318\) | −3.02486e9 | − | 5.23921e9i | −0.0165876 | − | 0.0287305i | ||||
\(319\) | 1.61424e10 | + | 2.79595e10i | 0.0872791 | + | 0.151172i | ||||
\(320\) | −5.19122e10 | + | 8.99146e10i | −0.276754 | + | 0.479353i | ||||
\(321\) | 7.44800e9 | − | 1.29003e10i | 0.0391532 | − | 0.0678153i | ||||
\(322\) | 1.74360e11 | 0.903846 | ||||||||
\(323\) | −9.90947e9 | −0.0506569 | ||||||||
\(324\) | 2.84309e10 | − | 4.92438e10i | 0.143330 | − | 0.248255i | ||||
\(325\) | −9.70317e10 | + | 1.68064e11i | −0.482435 | + | 0.835601i | ||||
\(326\) | 1.00342e11 | + | 1.73797e11i | 0.492043 | + | 0.852243i | ||||
\(327\) | 9.65822e10 | + | 1.67285e11i | 0.467124 | + | 0.809082i | ||||
\(328\) | 1.22400e10 | 0.0583916 | ||||||||
\(329\) | 1.27617e11 | + | 2.21040e11i | 0.600520 | + | 1.04013i | ||||
\(330\) | 1.35508e10 | + | 2.34707e10i | 0.0629003 | + | 0.108946i | ||||
\(331\) | −1.14110e11 | − | 1.97645e11i | −0.522516 | − | 0.905023i | −0.999657 | − | 0.0261968i | \(-0.991660\pi\) |
0.477141 | − | 0.878827i | \(-0.341673\pi\) | |||||||
\(332\) | 3.26340e10 | − | 5.65238e10i | 0.147418 | − | 0.255335i | ||||
\(333\) | 3.77923e10 | 0.168424 | ||||||||
\(334\) | 9.04488e10 | − | 1.56662e11i | 0.397689 | − | 0.688818i | ||||
\(335\) | −7.67219e10 | − | 1.32886e11i | −0.332826 | − | 0.576472i | ||||
\(336\) | −3.59175e11 | −1.53737 | ||||||||
\(337\) | 2.68798e10 | + | 4.65572e10i | 0.113525 | + | 0.196631i | 0.917189 | − | 0.398452i | \(-0.130452\pi\) |
−0.803664 | + | 0.595083i | \(0.797119\pi\) | |||||||
\(338\) | 3.73670e11 | − | 6.47216e11i | 1.55727 | − | 2.69727i | ||||
\(339\) | −3.18048e10 | + | 5.50875e10i | −0.130796 | + | 0.226545i | ||||
\(340\) | 2.13490e10 | 0.0866407 | ||||||||
\(341\) | −5.69399e9 | + | 9.86227e9i | −0.0228046 | + | 0.0394987i | ||||
\(342\) | −1.12368e10 | −0.0444146 | ||||||||
\(343\) | −5.09031e10 | −0.198573 | ||||||||
\(344\) | 2.26672e10 | + | 1.95251e11i | 0.0872741 | + | 0.751762i | ||||
\(345\) | −1.69689e11 | −0.644863 | ||||||||
\(346\) | −3.31301e11 | −1.24274 | ||||||||
\(347\) | 3.54571e10 | − | 6.14135e10i | 0.131287 | − | 0.227395i | −0.792886 | − | 0.609370i | \(-0.791422\pi\) |
0.924173 | + | 0.381975i | \(0.124756\pi\) | |||||||
\(348\) | −1.59324e11 | −0.582338 | ||||||||
\(349\) | 1.07948e11 | − | 1.86972e11i | 0.389494 | − | 0.674624i | −0.602887 | − | 0.797826i | \(-0.705983\pi\) |
0.992382 | + | 0.123203i | \(0.0393165\pi\) | |||||||
\(350\) | 1.11593e11 | − | 1.93284e11i | 0.397493 | − | 0.688478i | ||||
\(351\) | 2.89546e11 | + | 5.01508e11i | 1.01820 | + | 1.76358i | ||||
\(352\) | 1.84753e10 | 0.0641431 | ||||||||
\(353\) | −8.87850e10 | − | 1.53780e11i | −0.304336 | − | 0.527125i | 0.672777 | − | 0.739845i | \(-0.265101\pi\) |
−0.977113 | + | 0.212720i | \(0.931768\pi\) | |||||||
\(354\) | −2.31916e11 | + | 4.01691e11i | −0.784904 | + | 1.35949i | ||||
\(355\) | −6.75398e10 | −0.225700 | ||||||||
\(356\) | 2.86078e10 | − | 4.95502e10i | 0.0943974 | − | 0.163501i | ||||
\(357\) | −3.90263e10 | − | 6.75955e10i | −0.127160 | − | 0.220247i | ||||
\(358\) | −1.80767e11 | − | 3.13098e11i | −0.581630 | − | 1.00741i | ||||
\(359\) | 1.14306e11 | + | 1.97984e11i | 0.363199 | + | 0.629080i | 0.988485 | − | 0.151316i | \(-0.0483511\pi\) |
−0.625286 | + | 0.780396i | \(0.715018\pi\) | |||||||
\(360\) | −4.53149e10 | −0.142193 | ||||||||
\(361\) | 1.51294e11 | + | 2.62049e11i | 0.468855 | + | 0.812081i | ||||
\(362\) | −8.86504e10 | − | 1.53547e11i | −0.271326 | − | 0.469951i | ||||
\(363\) | 1.50799e11 | − | 2.61192e11i | 0.455847 | − | 0.789550i | ||||
\(364\) | −1.52371e11 | + | 2.63914e11i | −0.454931 | + | 0.787964i | ||||
\(365\) | −5.48444e11 | −1.61739 | ||||||||
\(366\) | −5.35876e11 | −1.56099 | ||||||||
\(367\) | 6.96999e10 | − | 1.20724e11i | 0.200556 | − | 0.347373i | −0.748152 | − | 0.663527i | \(-0.769059\pi\) |
0.948708 | + | 0.316155i | \(0.102392\pi\) | |||||||
\(368\) | −1.23383e11 | + | 2.13706e11i | −0.350704 | + | 0.607438i | ||||
\(369\) | 2.10567e9 | + | 3.64713e9i | 0.00591252 | + | 0.0102408i | ||||
\(370\) | −2.81951e11 | − | 4.88353e11i | −0.782106 | − | 1.35465i | ||||
\(371\) | −1.54283e10 | −0.0422801 | ||||||||
\(372\) | −2.80996e10 | − | 4.86699e10i | −0.0760775 | − | 0.131770i | ||||
\(373\) | −1.10331e11 | − | 1.91098e11i | −0.295126 | − | 0.511172i | 0.679889 | − | 0.733315i | \(-0.262028\pi\) |
−0.975014 | + | 0.222143i | \(0.928695\pi\) | |||||||
\(374\) | 4.28232e9 | + | 7.41720e9i | 0.0113177 | + | 0.0196028i | ||||
\(375\) | 1.07388e11 | − | 1.86002e11i | 0.280425 | − | 0.485710i | ||||
\(376\) | −2.58712e11 | −0.667530 | ||||||||
\(377\) | 6.83960e11 | − | 1.18465e12i | 1.74379 | − | 3.02034i | ||||
\(378\) | −3.32996e11 | − | 5.76766e11i | −0.838930 | − | 1.45307i | ||||
\(379\) | −3.42097e10 | −0.0851674 | −0.0425837 | − | 0.999093i | \(-0.513559\pi\) | ||||
−0.0425837 | + | 0.999093i | \(0.513559\pi\) | |||||||
\(380\) | 2.16518e10 | + | 3.75021e10i | 0.0532683 | + | 0.0922633i | ||||
\(381\) | −3.37183e11 | + | 5.84018e11i | −0.819792 | + | 1.41992i | ||||
\(382\) | −2.71602e11 | + | 4.70428e11i | −0.652600 | + | 1.13034i | ||||
\(383\) | 5.93539e11 | 1.40947 | 0.704733 | − | 0.709472i | \(-0.251067\pi\) | ||||
0.704733 | + | 0.709472i | \(0.251067\pi\) | |||||||
\(384\) | 2.33695e11 | − | 4.04771e11i | 0.548477 | − | 0.949990i | ||||
\(385\) | 6.91159e10 | 0.160326 | ||||||||
\(386\) | 9.40214e11 | 2.15568 | ||||||||
\(387\) | −5.42790e10 | + | 4.03435e10i | −0.123008 | + | 0.0914269i | ||||
\(388\) | 2.16300e11 | 0.484521 | ||||||||
\(389\) | 3.56748e11 | 0.789929 | 0.394965 | − | 0.918696i | \(-0.370757\pi\) | ||||
0.394965 | + | 0.918696i | \(0.370757\pi\) | |||||||
\(390\) | 5.74153e11 | − | 9.94463e11i | 1.25672 | − | 2.17670i | ||||
\(391\) | −5.36251e10 | −0.116031 | ||||||||
\(392\) | −1.51109e11 | + | 2.61728e11i | −0.323223 | + | 0.559839i | ||||
\(393\) | 2.17752e10 | − | 3.77158e10i | 0.0460464 | − | 0.0797548i | ||||
\(394\) | −3.80045e11 | − | 6.58258e11i | −0.794516 | − | 1.37614i | ||||
\(395\) | −7.28634e11 | −1.50599 | ||||||||
\(396\) | 1.25416e9 | + | 2.17227e9i | 0.00256286 | + | 0.00443901i | ||||
\(397\) | −1.08121e11 | + | 1.87270e11i | −0.218450 | + | 0.378366i | −0.954334 | − | 0.298741i | \(-0.903433\pi\) |
0.735885 | + | 0.677107i | \(0.236767\pi\) | |||||||
\(398\) | −4.42140e11 | −0.883254 | ||||||||
\(399\) | 7.91598e10 | − | 1.37109e11i | 0.156360 | − | 0.270824i | ||||
\(400\) | 1.57934e11 | + | 2.73550e11i | 0.308465 | + | 0.534277i | ||||
\(401\) | 3.55367e11 | + | 6.15513e11i | 0.686321 | + | 1.18874i | 0.973020 | + | 0.230721i | \(0.0741086\pi\) |
−0.286699 | + | 0.958021i | \(0.592558\pi\) | |||||||
\(402\) | 1.51892e11 | + | 2.63085e11i | 0.290080 | + | 0.502433i | ||||
\(403\) | 4.82513e11 | 0.911248 | ||||||||
\(404\) | 1.68976e11 | + | 2.92674e11i | 0.315579 | + | 0.546598i | ||||
\(405\) | 2.73212e11 | + | 4.73217e11i | 0.504606 | + | 0.874003i | ||||
\(406\) | −7.86598e11 | + | 1.36243e12i | −1.43676 | + | 2.48855i | ||||
\(407\) | 2.92137e10 | − | 5.05997e10i | 0.0527731 | − | 0.0914056i | ||||
\(408\) | 7.91159e10 | 0.141349 | ||||||||
\(409\) | 5.27617e11 | 0.932318 | 0.466159 | − | 0.884701i | \(-0.345637\pi\) | ||||
0.466159 | + | 0.884701i | \(0.345637\pi\) | |||||||
\(410\) | 3.14189e10 | − | 5.44191e10i | 0.0549115 | − | 0.0951096i | ||||
\(411\) | −3.81496e11 | + | 6.60770e11i | −0.659480 | + | 1.14225i | ||||
\(412\) | −7.98582e10 | − | 1.38318e11i | −0.136547 | − | 0.236506i | ||||
\(413\) | 5.91445e11 | + | 1.02441e12i | 1.00032 | + | 1.73261i | ||||
\(414\) | −6.08080e10 | −0.101732 | ||||||||
\(415\) | 3.13603e11 | + | 5.43176e11i | 0.518995 | + | 0.898926i | ||||
\(416\) | −3.91403e11 | − | 6.77931e11i | −0.640774 | − | 1.10985i | ||||
\(417\) | 5.16218e10 | + | 8.94116e10i | 0.0836028 | + | 0.144804i | ||||
\(418\) | −8.68615e9 | + | 1.50448e10i | −0.0139166 | + | 0.0241043i | ||||
\(419\) | −1.03356e12 | −1.63822 | −0.819112 | − | 0.573633i | \(-0.805533\pi\) | ||||
−0.819112 | + | 0.573633i | \(0.805533\pi\) | |||||||
\(420\) | −1.70542e11 | + | 2.95387e11i | −0.267430 | + | 0.463202i | ||||
\(421\) | 5.34179e11 | + | 9.25226e11i | 0.828739 | + | 1.43542i | 0.899028 | + | 0.437891i | \(0.144275\pi\) |
−0.0702890 | + | 0.997527i | \(0.522392\pi\) | |||||||
\(422\) | 5.96790e11 | 0.916043 | ||||||||
\(423\) | −4.45066e10 | − | 7.70877e10i | −0.0675916 | − | 0.117072i | ||||
\(424\) | 7.81924e9 | − | 1.35433e10i | 0.0117495 | − | 0.0203507i | ||||
\(425\) | −3.43208e10 | + | 5.94454e10i | −0.0510279 | + | 0.0883828i | ||||
\(426\) | 1.33713e11 | 0.196713 | ||||||||
\(427\) | −6.83309e11 | + | 1.18353e12i | −0.994699 | + | 1.72287i | ||||
\(428\) | −2.05711e10 | −0.0296320 | ||||||||
\(429\) | 1.18979e11 | 0.169595 | ||||||||
\(430\) | 9.26270e11 | + | 4.00411e11i | 1.30656 | + | 0.564804i | ||||
\(431\) | −5.84917e11 | −0.816482 | −0.408241 | − | 0.912874i | \(-0.633858\pi\) | ||||
−0.408241 | + | 0.912874i | \(0.633858\pi\) | |||||||
\(432\) | 9.42561e11 | 1.30207 | ||||||||
\(433\) | 2.31862e10 | − | 4.01597e10i | 0.0316982 | − | 0.0549029i | −0.849741 | − | 0.527200i | \(-0.823242\pi\) |
0.881439 | + | 0.472297i | \(0.156575\pi\) | |||||||
\(434\) | −5.54921e11 | −0.750805 | ||||||||
\(435\) | 7.65527e11 | − | 1.32593e12i | 1.02508 | − | 1.77550i | ||||
\(436\) | 1.33378e11 | − | 2.31018e11i | 0.176765 | − | 0.306166i | ||||
\(437\) | −5.43858e10 | − | 9.41989e10i | −0.0713377 | − | 0.123560i | ||||
\(438\) | 1.08579e12 | 1.40966 | ||||||||
\(439\) | −2.60380e11 | − | 4.50991e11i | −0.334593 | − | 0.579533i | 0.648813 | − | 0.760948i | \(-0.275266\pi\) |
−0.983407 | + | 0.181415i | \(0.941932\pi\) | |||||||
\(440\) | −3.50288e10 | + | 6.06716e10i | −0.0445541 | + | 0.0771700i | ||||
\(441\) | −1.03982e11 | −0.130913 | ||||||||
\(442\) | 1.81444e11 | − | 3.14270e11i | 0.226122 | − | 0.391654i | ||||
\(443\) | −2.37136e11 | − | 4.10731e11i | −0.292536 | − | 0.506688i | 0.681872 | − | 0.731471i | \(-0.261166\pi\) |
−0.974409 | + | 0.224783i | \(0.927833\pi\) | |||||||
\(444\) | 1.44169e11 | + | 2.49707e11i | 0.176054 | + | 0.304935i | ||||
\(445\) | 2.74912e11 | + | 4.76162e11i | 0.332333 | + | 0.575619i | ||||
\(446\) | −5.91554e10 | −0.0707926 | ||||||||
\(447\) | 2.41809e11 | + | 4.18825e11i | 0.286476 | + | 0.496191i | ||||
\(448\) | −2.62101e11 | − | 4.53971e11i | −0.307409 | − | 0.532448i | ||||
\(449\) | 3.58702e11 | − | 6.21290e11i | 0.416510 | − | 0.721416i | −0.579076 | − | 0.815274i | \(-0.696587\pi\) |
0.995586 | + | 0.0938577i | \(0.0299199\pi\) | |||||||
\(450\) | −3.89180e10 | + | 6.74079e10i | −0.0447398 | + | 0.0774916i | ||||
\(451\) | 6.51081e9 | 0.00741038 | ||||||||
\(452\) | 8.78437e10 | 0.0989892 | ||||||||
\(453\) | −5.09373e11 | + | 8.82261e11i | −0.568322 | + | 0.984362i | ||||
\(454\) | −7.11097e11 | + | 1.23166e12i | −0.785557 | + | 1.36062i | ||||
\(455\) | −1.46424e12 | − | 2.53613e12i | −1.60162 | − | 2.77409i | ||||
\(456\) | 8.02382e10 | + | 1.38977e11i | 0.0869039 | + | 0.150522i | ||||
\(457\) | 8.90893e11 | 0.955439 | 0.477719 | − | 0.878513i | \(-0.341464\pi\) | ||||
0.477719 | + | 0.878513i | \(0.341464\pi\) | |||||||
\(458\) | −2.69102e11 | − | 4.66098e11i | −0.285773 | − | 0.494974i | ||||
\(459\) | 1.02414e11 | + | 1.77387e11i | 0.107697 | + | 0.186537i | ||||
\(460\) | 1.17169e11 | + | 2.02942e11i | 0.122012 | + | 0.211331i | ||||
\(461\) | 3.19854e11 | − | 5.54004e11i | 0.329836 | − | 0.571293i | −0.652643 | − | 0.757665i | \(-0.726340\pi\) |
0.982479 | + | 0.186373i | \(0.0596732\pi\) | |||||||
\(462\) | −1.36834e11 | −0.139735 | ||||||||
\(463\) | 7.91734e11 | − | 1.37132e12i | 0.800691 | − | 1.38684i | −0.118471 | − | 0.992958i | \(-0.537799\pi\) |
0.919162 | − | 0.393880i | \(-0.128867\pi\) | |||||||
\(464\) | −1.11325e12 | − | 1.92821e12i | −1.11497 | − | 1.93118i | ||||
\(465\) | 5.40056e11 | 0.535674 | ||||||||
\(466\) | −5.58449e11 | − | 9.67262e11i | −0.548588 | − | 0.950183i | ||||
\(467\) | −3.49245e11 | + | 6.04910e11i | −0.339785 | + | 0.588525i | −0.984392 | − | 0.175989i | \(-0.943688\pi\) |
0.644607 | + | 0.764514i | \(0.277021\pi\) | |||||||
\(468\) | 5.31394e10 | − | 9.20402e10i | 0.0512048 | − | 0.0886893i | ||||
\(469\) | 7.74726e11 | 0.739384 | ||||||||
\(470\) | −6.64086e11 | + | 1.15023e12i | −0.627746 | + | 1.08729i | ||||
\(471\) | −1.57132e12 | −1.47120 | ||||||||
\(472\) | −1.19900e12 | −1.11194 | ||||||||
\(473\) | 1.20573e10 | + | 1.03859e11i | 0.0110758 | + | 0.0954049i | ||||
\(474\) | 1.44253e12 | 1.31257 | ||||||||
\(475\) | −1.39231e11 | −0.125491 | ||||||||
\(476\) | −5.38947e10 | + | 9.33483e10i | −0.0481188 | + | 0.0833441i | ||||
\(477\) | 5.38063e9 | 0.00475883 | ||||||||
\(478\) | −4.32360e11 | + | 7.48869e11i | −0.378809 | + | 0.656116i | ||||
\(479\) | 8.28562e11 | − | 1.43511e12i | 0.719143 | − | 1.24559i | −0.242197 | − | 0.970227i | \(-0.577868\pi\) |
0.961340 | − | 0.275365i | \(-0.0887987\pi\) | |||||||
\(480\) | −4.38081e11 | − | 7.58778e11i | −0.376677 | − | 0.652423i | ||||
\(481\) | −2.47560e12 | −2.10876 | ||||||||
\(482\) | 7.35335e11 | + | 1.27364e12i | 0.620545 | + | 1.07482i | ||||
\(483\) | 4.28373e11 | − | 7.41964e11i | 0.358146 | − | 0.620327i | ||||
\(484\) | −4.16502e11 | −0.344996 | ||||||||
\(485\) | −1.03929e12 | + | 1.80010e12i | −0.852898 | + | 1.47726i | ||||
\(486\) | 2.16832e11 | + | 3.75563e11i | 0.176303 | + | 0.305366i | ||||
\(487\) | −8.22988e11 | − | 1.42546e12i | −0.663000 | − | 1.14835i | −0.979824 | − | 0.199865i | \(-0.935950\pi\) |
0.316824 | − | 0.948484i | \(-0.397384\pi\) | |||||||
\(488\) | −6.92618e11 | − | 1.19965e12i | −0.552846 | − | 0.957558i | ||||
\(489\) | 9.86094e11 | 0.779881 | ||||||||
\(490\) | 7.75761e11 | + | 1.34366e12i | 0.607918 | + | 1.05295i | ||||
\(491\) | 7.24460e11 | + | 1.25480e12i | 0.562533 | + | 0.974335i | 0.997275 | + | 0.0737801i | \(0.0235063\pi\) |
−0.434742 | + | 0.900555i | \(0.643160\pi\) | |||||||
\(492\) | −1.60653e10 | + | 2.78259e10i | −0.0123608 | + | 0.0214095i | ||||
\(493\) | 2.41922e11 | − | 4.19021e11i | 0.184444 | − | 0.319466i | ||||
\(494\) | 7.36071e11 | 0.556094 | ||||||||
\(495\) | −2.41042e10 | −0.0180455 | ||||||||
\(496\) | 3.92683e11 | − | 6.80146e11i | 0.291323 | − | 0.504585i | ||||
\(497\) | 1.70501e11 | − | 2.95317e11i | 0.125350 | − | 0.217113i | ||||
\(498\) | −6.20863e11 | − | 1.07537e12i | −0.452339 | − | 0.783473i | ||||
\(499\) | 9.72151e11 | + | 1.68381e12i | 0.701909 | + | 1.21574i | 0.967795 | + | 0.251738i | \(0.0810022\pi\) |
−0.265886 | + | 0.964005i | \(0.585664\pi\) | |||||||
\(500\) | −2.96603e11 | −0.212232 | ||||||||
\(501\) | −4.44436e11 | − | 7.69785e11i | −0.315166 | − | 0.545883i | ||||
\(502\) | −1.73538e11 | − | 3.00577e11i | −0.121963 | − | 0.211246i | ||||
\(503\) | 1.02567e12 | + | 1.77651e12i | 0.714415 | + | 1.23740i | 0.963185 | + | 0.268840i | \(0.0866402\pi\) |
−0.248770 | + | 0.968562i | \(0.580026\pi\) | |||||||
\(504\) | 1.14396e11 | − | 1.98139e11i | 0.0789718 | − | 0.136783i | ||||
\(505\) | −3.24760e12 | −2.22204 | ||||||||
\(506\) | −4.70051e10 | + | 8.14151e10i | −0.0318763 | + | 0.0552113i | ||||
\(507\) | −1.83609e12 | − | 3.18021e12i | −1.23412 | − | 2.13757i | ||||
\(508\) | 9.31289e11 | 0.620437 | ||||||||
\(509\) | 7.54568e11 | + | 1.30695e12i | 0.498274 | + | 0.863036i | 0.999998 | − | 0.00199170i | \(-0.000633978\pi\) |
−0.501724 | + | 0.865028i | \(0.667301\pi\) | |||||||
\(510\) | 2.03082e11 | − | 3.51749e11i | 0.132925 | − | 0.230233i | ||||
\(511\) | 1.38452e12 | − | 2.39807e12i | 0.898270 | − | 1.55585i | ||||
\(512\) | 1.69745e11 | 0.109165 | ||||||||
\(513\) | −2.07734e11 | + | 3.59807e11i | −0.132428 | + | 0.229372i | ||||
\(514\) | −1.55125e12 | −0.980274 | ||||||||
\(515\) | 1.53482e12 | 0.961449 | ||||||||
\(516\) | −4.73625e11 | − | 2.04740e11i | −0.294111 | − | 0.127139i | ||||
\(517\) | −1.37616e11 | −0.0847151 | ||||||||
\(518\) | 2.84709e12 | 1.73747 | ||||||||
\(519\) | −8.13952e11 | + | 1.40981e12i | −0.492431 | + | 0.852916i | ||||
\(520\) | 2.96837e12 | 1.78034 | ||||||||
\(521\) | −1.20437e12 | + | 2.08603e12i | −0.716128 | + | 1.24037i | 0.246395 | + | 0.969169i | \(0.420754\pi\) |
−0.962523 | + | 0.271200i | \(0.912579\pi\) | |||||||
\(522\) | 2.74327e11 | − | 4.75148e11i | 0.161715 | − | 0.280099i | ||||
\(523\) | −1.14521e12 | − | 1.98356e12i | −0.669310 | − | 1.15928i | −0.978098 | − | 0.208147i | \(-0.933257\pi\) |
0.308788 | − | 0.951131i | \(-0.400077\pi\) | |||||||
\(524\) | −6.01424e10 | −0.0348490 | ||||||||
\(525\) | −5.48330e11 | − | 9.49735e11i | −0.315010 | − | 0.545614i | ||||
\(526\) | −1.93174e12 | + | 3.34587e12i | −1.10031 | + | 1.90578i | ||||
\(527\) | 1.70668e11 | 0.0963841 | ||||||||
\(528\) | 9.68288e10 | − | 1.67712e11i | 0.0542190 | − | 0.0939101i | ||||
\(529\) | 6.06268e11 | + | 1.05009e12i | 0.336600 | + | 0.583008i | ||||
\(530\) | −4.01424e10 | − | 6.95286e10i | −0.0220984 | − | 0.0382756i | ||||
\(531\) | −2.06267e11 | − | 3.57264e11i | −0.112591 | − | 0.195013i | ||||
\(532\) | −2.18637e11 | −0.118337 | ||||||||
\(533\) | −1.37933e11 | − | 2.38907e11i | −0.0740279 | − | 0.128220i | ||||
\(534\) | −5.44264e11 | − | 9.42693e11i | −0.289650 | − | 0.501689i | ||||
\(535\) | 9.88411e10 | − | 1.71198e11i | 0.0521609 | − | 0.0903454i | ||||
\(536\) | −3.92640e11 | + | 6.80073e11i | −0.205472 | + | 0.355888i | ||||
\(537\) | −1.77646e12 | −0.921875 | ||||||||
\(538\) | 1.92584e11 | 0.0991063 | ||||||||
\(539\) | −8.03788e10 | + | 1.39220e11i | −0.0410197 | + | 0.0710482i | ||||
\(540\) | 4.47544e11 | − | 7.75168e11i | 0.226498 | − | 0.392305i | ||||
\(541\) | 1.10467e12 | + | 1.91335e12i | 0.554428 | + | 0.960297i | 0.997948 | + | 0.0640327i | \(0.0203962\pi\) |
−0.443520 | + | 0.896265i | \(0.646270\pi\) | |||||||
\(542\) | −1.23065e11 | − | 2.13154e11i | −0.0612544 | − | 0.106096i | ||||
\(543\) | −8.71198e11 | −0.430049 | ||||||||
\(544\) | −1.38442e11 | − | 2.39789e11i | −0.0677756 | − | 0.117391i | ||||
\(545\) | 1.28172e12 | + | 2.22001e12i | 0.622315 | + | 1.07788i | ||||
\(546\) | 2.89886e12 | + | 5.02096e12i | 1.39592 | + | 2.41780i | ||||
\(547\) | −6.93915e11 | + | 1.20190e12i | −0.331408 | + | 0.574016i | −0.982788 | − | 0.184736i | \(-0.940857\pi\) |
0.651380 | + | 0.758752i | \(0.274190\pi\) | |||||||
\(548\) | 1.05368e12 | 0.499109 | ||||||||
\(549\) | 2.38304e11 | − | 4.12755e11i | 0.111958 | − | 0.193918i | ||||
\(550\) | 6.01678e10 | + | 1.04214e11i | 0.0280370 | + | 0.0485616i | ||||
\(551\) | 9.81414e11 | 0.453597 | ||||||||
\(552\) | 4.34209e11 | + | 7.52072e11i | 0.199055 | + | 0.344773i | ||||
\(553\) | 1.83941e12 | − | 3.18595e12i | 0.836401 | − | 1.44869i | ||||
\(554\) | 9.16966e11 | − | 1.58823e12i | 0.413580 | − | 0.716341i | ||||
\(555\) | −2.77083e12 | −1.23963 | ||||||||
\(556\) | 7.12889e10 | − | 1.23476e11i | 0.0316363 | − | 0.0547956i | ||||
\(557\) | 1.99126e12 | 0.876558 | 0.438279 | − | 0.898839i | \(-0.355588\pi\) | ||||
0.438279 | + | 0.898839i | \(0.355588\pi\) | |||||||
\(558\) | 1.93529e11 | 0.0845069 | ||||||||
\(559\) | 3.55556e12 | − | 2.64271e12i | 1.54012 | − | 1.14471i | ||||
\(560\) | −4.76654e12 | −2.04813 | ||||||||
\(561\) | 4.20839e10 | 0.0179384 | ||||||||
\(562\) | 4.04824e11 | − | 7.01175e11i | 0.171180 | − | 0.296492i | ||||
\(563\) | 2.84503e12 | 1.19343 | 0.596717 | − | 0.802451i | \(-0.296471\pi\) | ||||
0.596717 | + | 0.802451i | \(0.296471\pi\) | |||||||
\(564\) | 3.39564e11 | − | 5.88142e11i | 0.141308 | − | 0.244752i | ||||
\(565\) | −4.22075e11 | + | 7.31056e11i | −0.174250 | + | 0.301809i | ||||
\(566\) | −3.94261e11 | − | 6.82880e11i | −0.161477 | − | 0.279686i | ||||
\(567\) | −2.75885e12 | −1.12100 | ||||||||
\(568\) | 1.72824e11 | + | 2.99340e11i | 0.0696686 | + | 0.120670i | ||||
\(569\) | −1.06048e12 | + | 1.83681e12i | −0.424130 | + | 0.734615i | −0.996339 | − | 0.0854932i | \(-0.972753\pi\) |
0.572209 | + | 0.820108i | \(0.306087\pi\) | |||||||
\(570\) | 8.23852e11 | 0.326898 | ||||||||
\(571\) | 1.13655e12 | − | 1.96856e12i | 0.447430 | − | 0.774972i | −0.550788 | − | 0.834645i | \(-0.685673\pi\) |
0.998218 | + | 0.0596737i | \(0.0190060\pi\) | |||||||
\(572\) | −8.21543e10 | − | 1.42296e11i | −0.0320884 | − | 0.0555788i | ||||
\(573\) | 1.33456e12 | + | 2.31153e12i | 0.517181 | + | 0.895784i | ||||
\(574\) | 1.58632e11 | + | 2.74758e11i | 0.0609938 | + | 0.105644i | ||||
\(575\) | −7.53447e11 | −0.287440 | ||||||||
\(576\) | 9.14077e10 | + | 1.58323e11i | 0.0346004 | + | 0.0599297i | ||||
\(577\) | −2.03820e12 | − | 3.53027e12i | −0.765520 | − | 1.32592i | −0.939971 | − | 0.341253i | \(-0.889149\pi\) |
0.174452 | − | 0.984666i | \(-0.444185\pi\) | |||||||
\(578\) | −1.49366e12 | + | 2.58710e12i | −0.556644 | + | 0.964137i | ||||
\(579\) | 2.30995e12 | − | 4.00095e12i | 0.854180 | − | 1.47948i | ||||
\(580\) | −2.11436e12 | −0.775806 | ||||||||
\(581\) | −3.16671e12 | −1.15296 | ||||||||
\(582\) | 2.05755e12 | − | 3.56378e12i | 0.743356 | − | 1.28753i | ||||
\(583\) | 4.15927e9 | − | 7.20406e9i | 0.00149111 | − | 0.00258267i | ||||
\(584\) | 1.40339e12 | + | 2.43074e12i | 0.499252 | + | 0.864729i | ||||
\(585\) | 5.10653e11 | + | 8.84477e11i | 0.180270 | + | 0.312238i | ||||
\(586\) | 1.30283e12 | 0.456403 | ||||||||
\(587\) | −1.69547e12 | − | 2.93664e12i | −0.589411 | − | 1.02089i | −0.994310 | − | 0.106528i | \(-0.966027\pi\) |
0.404899 | − | 0.914361i | \(-0.367307\pi\) | |||||||
\(588\) | −3.96666e11 | − | 6.87045e11i | −0.136844 | − | 0.237021i | ||||
\(589\) | 1.73089e11 | + | 2.99800e11i | 0.0592586 | + | 0.102639i | ||||
\(590\) | −3.07772e12 | + | 5.33077e12i | −1.04567 | + | 1.81115i | ||||
\(591\) | −3.73484e12 | −1.25930 | ||||||||
\(592\) | −2.01471e12 | + | 3.48958e12i | −0.674163 | + | 1.16768i | ||||
\(593\) | 8.18004e10 | + | 1.41682e11i | 0.0271650 | + | 0.0470511i | 0.879288 | − | 0.476290i | \(-0.158019\pi\) |
−0.852123 | + | 0.523341i | \(0.824685\pi\) | |||||||
\(594\) | 3.59085e11 | 0.118347 | ||||||||
\(595\) | −5.17911e11 | − | 8.97048e11i | −0.169406 | − | 0.293420i | ||||
\(596\) | 3.33934e11 | − | 5.78391e11i | 0.108406 | − | 0.187764i | ||||
\(597\) | −1.08627e12 | + | 1.88147e12i | −0.349987 | + | 0.606194i | ||||
\(598\) | 3.98325e12 | 1.27374 | ||||||||
\(599\) | −7.96440e11 | + | 1.37947e12i | −0.252774 | + | 0.437817i | −0.964289 | − | 0.264854i | \(-0.914676\pi\) |
0.711515 | + | 0.702671i | \(0.248010\pi\) | |||||||
\(600\) | 1.11160e12 | 0.350161 | ||||||||
\(601\) | 5.19470e12 | 1.62415 | 0.812073 | − | 0.583556i | \(-0.198339\pi\) | ||||
0.812073 | + | 0.583556i | \(0.198339\pi\) | |||||||
\(602\) | −4.08913e12 | + | 3.03929e12i | −1.26896 | + | 0.943165i | ||||
\(603\) | −2.70186e11 | −0.0832214 | ||||||||
\(604\) | 1.40687e12 | 0.430119 | ||||||||
\(605\) | 2.00123e12 | − | 3.46623e12i | 0.607292 | − | 1.05186i | ||||
\(606\) | 6.42952e12 | 1.93665 | ||||||||
\(607\) | −1.01289e12 | + | 1.75438e12i | −0.302841 | + | 0.524536i | −0.976778 | − | 0.214252i | \(-0.931268\pi\) |
0.673937 | + | 0.738789i | \(0.264602\pi\) | |||||||
\(608\) | 2.80812e11 | − | 4.86381e11i | 0.0833393 | − | 0.144348i | ||||
\(609\) | 3.86509e12 | + | 6.69453e12i | 1.13863 | + | 1.97216i | ||||
\(610\) | −7.11151e12 | −2.07959 | ||||||||
\(611\) | 2.91542e12 | + | 5.04965e12i | 0.846282 | + | 1.46580i | ||||
\(612\) | 1.87958e10 | − | 3.25553e10i | 0.00541601 | − | 0.00938080i | ||||
\(613\) | 2.45635e12 | 0.702615 | 0.351307 | − | 0.936260i | \(-0.385737\pi\) | ||||
0.351307 | + | 0.936260i | \(0.385737\pi\) | |||||||
\(614\) | 1.89681e12 | − | 3.28537e12i | 0.538600 | − | 0.932882i | ||||
\(615\) | −1.54382e11 | − | 2.67398e11i | −0.0435170 | − | 0.0753737i | ||||
\(616\) | −1.76857e11 | − | 3.06326e11i | −0.0494892 | − | 0.0857178i | ||||
\(617\) | −8.22244e11 | − | 1.42417e12i | −0.228411 | − | 0.395620i | 0.728926 | − | 0.684592i | \(-0.240020\pi\) |
−0.957337 | + | 0.288972i | \(0.906686\pi\) | |||||||
\(618\) | −3.03861e12 | −0.837966 | ||||||||
\(619\) | −1.05658e11 | − | 1.83005e11i | −0.0289265 | − | 0.0501021i | 0.851200 | − | 0.524842i | \(-0.175876\pi\) |
−0.880126 | + | 0.474740i | \(0.842542\pi\) | |||||||
\(620\) | −3.72904e11 | − | 6.45889e11i | −0.101353 | − | 0.175548i | ||||
\(621\) | −1.12415e12 | + | 1.94709e12i | −0.303329 | + | 0.525381i | ||||
\(622\) | 1.52618e12 | − | 2.64342e12i | 0.408835 | − | 0.708123i | ||||
\(623\) | −2.77602e12 | −0.738289 | ||||||||
\(624\) | −8.20535e12 | −2.16654 | ||||||||
\(625\) | 2.38417e12 | − | 4.12950e12i | 0.624996 | − | 1.08252i | ||||
\(626\) | −8.33151e11 | + | 1.44306e12i | −0.216840 | + | 0.375578i | ||||
\(627\) | 4.26809e10 | + | 7.39255e10i | 0.0110288 | + | 0.0191025i | ||||
\(628\) | 1.08498e12 | + | 1.87925e12i | 0.278359 | + | 0.482132i | ||||
\(629\) | −8.75636e11 | −0.223047 | ||||||||
\(630\) | −5.87283e11 | − | 1.01720e12i | −0.148530 | − | 0.257262i | ||||
\(631\) | −3.59449e12 | − | 6.22583e12i | −0.902619 | − | 1.56338i | −0.824081 | − | 0.566471i | \(-0.808308\pi\) |
−0.0785378 | − | 0.996911i | \(-0.525025\pi\) | |||||||
\(632\) | 1.86447e12 | + | 3.22935e12i | 0.464866 | + | 0.805171i | ||||
\(633\) | 1.46622e12 | − | 2.53956e12i | 0.362979 | − | 0.628698i | ||||
\(634\) | 4.64054e12 | 1.14069 | ||||||||
\(635\) | −4.47470e12 | + | 7.75040e12i | −1.09215 | + | 1.89166i | ||||
\(636\) | 2.05258e10 | + | 3.55517e10i | 0.00497443 | + | 0.00861596i | ||||
\(637\) | 6.81137e12 | 1.63911 | ||||||||
\(638\) | −4.24113e11 | − | 7.34585e11i | −0.101342 | − | 0.175529i | ||||
\(639\) | −5.94625e10 | + | 1.02992e11i | −0.0141088 | + | 0.0244371i | ||||
\(640\) | 3.10132e12 | − | 5.37164e12i | 0.730696 | − | 1.26560i | ||||
\(641\) | 2.41051e12 | 0.563959 | 0.281979 | − | 0.959420i | \(-0.409009\pi\) | ||||
0.281979 | + | 0.959420i | \(0.409009\pi\) | |||||||
\(642\) | −1.95683e11 | + | 3.38933e11i | −0.0454617 | + | 0.0787419i | ||||
\(643\) | 1.82972e12 | 0.422120 | 0.211060 | − | 0.977473i | \(-0.432308\pi\) | ||||
0.211060 | + | 0.977473i | \(0.432308\pi\) | |||||||
\(644\) | −1.18315e12 | −0.271053 | ||||||||
\(645\) | 3.97959e12 | − | 2.95787e12i | 0.905356 | − | 0.672916i | ||||
\(646\) | 2.60354e11 | 0.0588190 | ||||||||
\(647\) | −4.05390e12 | −0.909502 | −0.454751 | − | 0.890619i | \(-0.650272\pi\) | ||||
−0.454751 | + | 0.890619i | \(0.650272\pi\) | |||||||
\(648\) | 1.39822e12 | − | 2.42179e12i | 0.311521 | − | 0.539570i | ||||
\(649\) | −6.37783e11 | −0.141115 | ||||||||
\(650\) | 2.54934e12 | − | 4.41558e12i | 0.560166 | − | 0.970236i | ||||
\(651\) | −1.36335e12 | + | 2.36139e12i | −0.297504 | + | 0.515292i | ||||
\(652\) | −6.80890e11 | − | 1.17934e12i | −0.147558 | − | 0.255578i | ||||
\(653\) | −6.01130e12 | −1.29378 | −0.646888 | − | 0.762585i | \(-0.723930\pi\) | ||||
−0.646888 | + | 0.762585i | \(0.723930\pi\) | |||||||
\(654\) | −2.53752e12 | − | 4.39512e12i | −0.542388 | − | 0.939444i | ||||
\(655\) | 2.88975e11 | − | 5.00519e11i | 0.0613443 | − | 0.106251i | ||||
\(656\) | −4.49014e11 | −0.0946657 | ||||||||
\(657\) | −4.82854e11 | + | 8.36327e11i | −0.101105 | + | 0.175119i | ||||
\(658\) | −3.35292e12 | − | 5.80742e12i | −0.697278 | − | 1.20772i | ||||
\(659\) | −1.89163e12 | − | 3.27639e12i | −0.390707 | − | 0.676724i | 0.601836 | − | 0.798620i | \(-0.294436\pi\) |
−0.992543 | + | 0.121896i | \(0.961103\pi\) | |||||||
\(660\) | −9.19518e10 | − | 1.59265e11i | −0.0188631 | − | 0.0326718i | ||||
\(661\) | −4.15522e12 | −0.846617 | −0.423309 | − | 0.905986i | \(-0.639131\pi\) | ||||
−0.423309 | + | 0.905986i | \(0.639131\pi\) | |||||||
\(662\) | 2.99805e12 | + | 5.19277e12i | 0.606705 | + | 1.05084i | ||||
\(663\) | −8.91556e11 | − | 1.54422e12i | −0.179200 | − | 0.310383i | ||||
\(664\) | 1.60493e12 | − | 2.77981e12i | 0.320405 | − | 0.554957i | ||||
\(665\) | 1.05052e12 | − | 1.81955e12i | 0.208308 | − | 0.360799i | ||||
\(666\) | −9.92926e11 | −0.195561 | ||||||||
\(667\) | 5.31092e12 | 1.03897 | ||||||||
\(668\) | −6.13759e11 | + | 1.06306e12i | −0.119262 | + | 0.206569i | ||||
\(669\) | −1.45335e11 | + | 2.51728e11i | −0.0280513 | + | 0.0485863i | ||||
\(670\) | 2.01573e12 | + | 3.49135e12i | 0.386453 | + | 0.669356i | ||||
\(671\) | −3.68422e11 | − | 6.38126e11i | −0.0701608 | − | 0.121522i | ||||
\(672\) | 4.42367e12 | 0.836799 | ||||||||
\(673\) | −2.23193e12 | − | 3.86581e12i | −0.419384 | − | 0.726395i | 0.576493 | − | 0.817102i | \(-0.304421\pi\) |
−0.995878 | + | 0.0907071i | \(0.971087\pi\) | |||||||
\(674\) | −7.06219e11 | − | 1.22321e12i | −0.131816 | − | 0.228313i | ||||
\(675\) | 1.43895e12 | + | 2.49233e12i | 0.266796 | + | 0.462104i | ||||
\(676\) | −2.53562e12 | + | 4.39182e12i | −0.467007 | + | 0.808880i | ||||
\(677\) | −5.45008e12 | −0.997135 | −0.498568 | − | 0.866851i | \(-0.666140\pi\) | ||||
−0.498568 | + | 0.866851i | \(0.666140\pi\) | |||||||
\(678\) | 8.35613e11 | − | 1.44733e12i | 0.151870 | − | 0.263046i | ||||
\(679\) | −5.24727e12 | − | 9.08854e12i | −0.947370 | − | 1.64089i | ||||
\(680\) | 1.04993e12 | 0.188309 | ||||||||
\(681\) | 3.49410e12 | + | 6.05196e12i | 0.622549 | + | 1.07829i | ||||
\(682\) | 1.49599e11 | − | 2.59114e11i | 0.0264789 | − | 0.0458628i | ||||
\(683\) | −4.21236e12 | + | 7.29603e12i | −0.740683 | + | 1.28290i | 0.211501 | + | 0.977378i | \(0.432165\pi\) |
−0.952185 | + | 0.305523i | \(0.901169\pi\) | |||||||
\(684\) | 7.62497e10 | 0.0133194 | ||||||||
\(685\) | −5.06276e12 | + | 8.76896e12i | −0.878577 | + | 1.52174i | ||||
\(686\) | 1.33739e12 | 0.230568 | ||||||||
\(687\) | −2.64456e12 | −0.452947 | ||||||||
\(688\) | −8.31526e11 | − | 7.16260e12i | −0.141491 | − | 1.21877i | ||||
\(689\) | −3.52460e11 | −0.0595831 | ||||||||
\(690\) | 4.45828e12 | 0.748766 | ||||||||
\(691\) | −2.32930e12 | + | 4.03446e12i | −0.388663 | + | 0.673184i | −0.992270 | − | 0.124098i | \(-0.960396\pi\) |
0.603607 | + | 0.797282i | \(0.293730\pi\) | |||||||
\(692\) | 2.24811e12 | 0.372683 | ||||||||
\(693\) | 6.08502e10 | − | 1.05396e11i | 0.0100222 | − | 0.0173589i | ||||
\(694\) | −9.31573e11 | + | 1.61353e12i | −0.152440 | + | 0.264034i | ||||
\(695\) | 6.85064e11 | + | 1.18657e12i | 0.111378 | + | 0.192912i | ||||
\(696\) | −7.83548e12 | −1.26568 | ||||||||
\(697\) | −4.87878e10 | − | 8.45030e10i | −0.00783004 | − | 0.0135620i | ||||
\(698\) | −2.83615e12 | + | 4.91235e12i | −0.452251 | + | 0.783322i | ||||
\(699\) | −5.48807e12 | −0.869506 | ||||||||
\(700\) | −7.57235e11 | + | 1.31157e12i | −0.119204 | + | 0.206467i | ||||
\(701\) | −4.13781e11 | − | 7.16690e11i | −0.0647202 | − | 0.112099i | 0.831850 | − | 0.555001i | \(-0.187282\pi\) |
−0.896570 | + | 0.442902i | \(0.853949\pi\) | |||||||
\(702\) | −7.60730e12 | − | 1.31762e13i | −1.18226 | − | 2.04774i | ||||
\(703\) | −8.88058e11 | − | 1.53816e12i | −0.137133 | − | 0.237522i | ||||
\(704\) | 2.82636e11 | 0.0433660 | ||||||||
\(705\) | 3.26310e12 | + | 5.65186e12i | 0.497484 | + | 0.861668i | ||||
\(706\) | 2.33267e12 | + | 4.04030e12i | 0.353372 | + | 0.612058i | ||||
\(707\) | 8.19845e12 | − | 1.42001e13i | 1.23408 | − | 2.13749i | ||||
\(708\) | 1.57372e12 | − | 2.72576e12i | 0.235384 | − | 0.407697i | ||||
\(709\) | −6.12424e12 | −0.910216 | −0.455108 | − | 0.890436i | \(-0.650399\pi\) | ||||
−0.455108 | + | 0.890436i | \(0.650399\pi\) | |||||||
\(710\) | 1.77449e12 | 0.262066 | ||||||||
\(711\) | −6.41494e11 | + | 1.11110e12i | −0.0941412 | + | 0.163057i | ||||
\(712\) | 1.40692e12 | − | 2.43686e12i | 0.205168 | − | 0.355361i | ||||
\(713\) | 9.36673e11 | + | 1.62237e12i | 0.135733 | + | 0.235096i | ||||
\(714\) | 1.02535e12 | + | 1.77595e12i | 0.147648 | + | 0.255734i | ||||
\(715\) | 1.57895e12 | 0.225940 | ||||||||
\(716\) | 1.22663e12 | + | 2.12459e12i | 0.174424 | + | 0.302111i | ||||
\(717\) | 2.12448e12 | + | 3.67970e12i | 0.300203 | + | 0.519967i | ||||
\(718\) | −3.00319e12 | − | 5.20168e12i | −0.421719 | − | 0.730439i | ||||
\(719\) | 4.37534e12 | − | 7.57832e12i | 0.610565 | − | 1.05753i | −0.380580 | − | 0.924748i | \(-0.624276\pi\) |
0.991145 | − | 0.132782i | \(-0.0423911\pi\) | |||||||
\(720\) | 1.66233e12 | 0.230527 | ||||||||
\(721\) | −3.87460e12 | + | 6.71101e12i | −0.533972 | + | 0.924867i | ||||
\(722\) | −3.97498e12 | − | 6.88486e12i | −0.544399 | − | 0.942926i | ||||
\(723\) | 7.22639e12 | 0.983556 | ||||||||
\(724\) | 6.01555e11 | + | 1.04192e12i | 0.0813677 | + | 0.140933i | ||||
\(725\) | 3.39907e12 | − | 5.88736e12i | 0.456918 | − | 0.791406i | ||||
\(726\) | −3.96198e12 | + | 6.86235e12i | −0.529295 | + | 0.916765i | ||||
\(727\) | 3.91580e12 | 0.519895 | 0.259947 | − | 0.965623i | \(-0.416295\pi\) | ||||
0.259947 | + | 0.965623i | \(0.416295\pi\) | |||||||
\(728\) | −7.49352e12 | + | 1.29792e13i | −0.988769 | + | 1.71260i | ||||
\(729\) | 8.40863e12 | 1.10268 | ||||||||
\(730\) | 1.44094e13 | 1.87799 | ||||||||
\(731\) | 1.25763e12 | − | 9.34746e11i | 0.162901 | − | 0.121078i | ||||
\(732\) | 3.63629e12 | 0.468122 | ||||||||
\(733\) | 5.92042e12 | 0.757504 | 0.378752 | − | 0.925498i | \(-0.376353\pi\) | ||||
0.378752 | + | 0.925498i | \(0.376353\pi\) | |||||||
\(734\) | −1.83124e12 | + | 3.17180e12i | −0.232870 | + | 0.403343i | ||||
\(735\) | 7.62367e12 | 0.963543 | ||||||||
\(736\) | 1.51961e12 | − | 2.63205e12i | 0.190890 | − | 0.330631i | ||||
\(737\) | −2.08856e11 | + | 3.61749e11i | −0.0260761 | + | 0.0451652i | ||||
\(738\) | −5.53228e10 | − | 9.58220e10i | −0.00686516 | − | 0.0118908i | ||||
\(739\) | 4.70161e12 | 0.579892 | 0.289946 | − | 0.957043i | \(-0.406363\pi\) | ||||
0.289946 | + | 0.957043i | \(0.406363\pi\) | |||||||
\(740\) | 1.91323e12 | + | 3.31382e12i | 0.234545 | + | 0.406243i | ||||
\(741\) | 1.80841e12 | − | 3.13225e12i | 0.220351 | − | 0.381658i | ||||
\(742\) | 4.05351e11 | 0.0490924 | ||||||||
\(743\) | −4.52642e12 | + | 7.83998e12i | −0.544885 | + | 0.943769i | 0.453729 | + | 0.891140i | \(0.350093\pi\) |
−0.998614 | + | 0.0526289i | \(0.983240\pi\) | |||||||
\(744\) | −1.38192e12 | − | 2.39356e12i | −0.165351 | − | 0.286396i | ||||
\(745\) | 3.20900e12 | + | 5.55815e12i | 0.381651 | + | 0.661039i | ||||
\(746\) | 2.89874e12 | + | 5.02077e12i | 0.342677 | + | 0.593534i | ||||
\(747\) | 1.10439e12 | 0.129772 | ||||||||
\(748\) | −2.90586e10 | − | 5.03309e10i | −0.00339404 | − | 0.00587865i | ||||
\(749\) | 4.99041e11 | + | 8.64364e11i | 0.0579386 | + | 0.100353i | ||||
\(750\) | −2.82144e12 | + | 4.88688e12i | −0.325608 | + | 0.563970i | ||||
\(751\) | 6.73678e12 | − | 1.16685e13i | 0.772810 | − | 1.33855i | −0.163207 | − | 0.986592i | \(-0.552184\pi\) |
0.936017 | − | 0.351955i | \(-0.114483\pi\) | |||||||
\(752\) | 9.49059e12 | 1.08221 | ||||||||
\(753\) | −1.70542e12 | −0.193310 | ||||||||
\(754\) | −1.79698e13 | + | 3.11247e13i | −2.02476 | + | 3.50699i | ||||
\(755\) | −6.75980e12 | + | 1.17083e13i | −0.757134 | + | 1.31139i | ||||
\(756\) | 2.25961e12 | + | 3.91376e12i | 0.251586 | + | 0.435759i | ||||
\(757\) | 4.08987e11 | + | 7.08387e11i | 0.0452667 | + | 0.0784042i | 0.887771 | − | 0.460285i | \(-0.152253\pi\) |
−0.842504 | + | 0.538690i | \(0.818920\pi\) | |||||||
\(758\) | 8.98800e11 | 0.0988898 | ||||||||
\(759\) | 2.30968e11 | + | 4.00047e11i | 0.0252617 | + | 0.0437546i | ||||
\(760\) | 1.06483e12 | + | 1.84433e12i | 0.115776 | + | 0.200530i | ||||
\(761\) | −7.30966e12 | − | 1.26607e13i | −0.790071 | − | 1.36844i | −0.925922 | − | 0.377714i | \(-0.876710\pi\) |
0.135851 | − | 0.990729i | \(-0.456623\pi\) | |||||||
\(762\) | 8.85889e12 | − | 1.53440e13i | 0.951879 | − | 1.64870i | ||||
\(763\) | −1.29426e13 | −1.38249 | ||||||||
\(764\) | 1.84301e12 | − | 3.19218e12i | 0.195707 | − | 0.338975i | ||||
\(765\) | 1.80622e11 | + | 3.12846e11i | 0.0190675 | + | 0.0330258i | ||||
\(766\) | −1.55942e13 | −1.63656 | ||||||||
\(767\) | 1.35116e13 | + | 2.34027e13i | 1.40970 | + | 2.44167i | ||||
\(768\) | −4.13709e12 | + | 7.16566e12i | −0.429111 | + | 0.743242i | ||||
\(769\) | 5.09663e12 | − | 8.82763e12i | 0.525551 | − | 0.910281i | −0.474006 | − | 0.880522i | \(-0.657193\pi\) |
0.999557 | − | 0.0297594i | \(-0.00947410\pi\) | |||||||
\(770\) | −1.81590e12 | −0.186159 | ||||||||
\(771\) | −3.81117e12 | + | 6.60113e12i | −0.388430 | + | 0.672781i | ||||
\(772\) | −6.38001e12 | −0.646463 | ||||||||
\(773\) | 1.65952e13 | 1.67176 | 0.835880 | − | 0.548912i | \(-0.184958\pi\) | ||||
0.835880 | + | 0.548912i | \(0.184958\pi\) | |||||||
\(774\) | 1.42609e12 | − | 1.05995e12i | 0.142827 | − | 0.106158i | ||||
\(775\) | 2.39794e12 | 0.238770 | ||||||||
\(776\) | 1.06375e13 | 1.05308 | ||||||||
\(777\) | 6.99485e12 | − | 1.21154e13i | 0.688468 | − | 1.19246i | ||||
\(778\) | −9.37292e12 | −0.917205 | ||||||||
\(779\) | 9.89599e10 | − | 1.71404e11i | 0.00962810 | − | 0.0166764i | ||||
\(780\) | −3.89604e12 | + | 6.74813e12i | −0.376875 | + | 0.652766i | ||||
\(781\) | 9.19299e10 | + | 1.59227e11i | 0.00884153 | + | 0.0153140i | ||||
\(782\) | 1.40890e12 | 0.134726 | ||||||||
\(783\) | −1.01429e13 | − | 1.75681e13i | −0.964351 | − | 1.67031i | ||||
\(784\) | 5.54328e12 | − | 9.60124e12i | 0.524016 | − | 0.907622i | ||||
\(785\) | −2.08527e13 | −1.95997 | ||||||||
\(786\) | −5.72105e11 | + | 9.90915e11i | −0.0534656 | + | 0.0926051i | ||||
\(787\) | −4.27873e12 | − | 7.41097e12i | −0.397583 | − | 0.688635i | 0.595844 | − | 0.803100i | \(-0.296818\pi\) |
−0.993427 | + | 0.114466i | \(0.963484\pi\) | |||||||
\(788\) | 2.57888e12 | + | 4.46674e12i | 0.238266 | + | 0.412689i | ||||
\(789\) | 9.49195e12 | + | 1.64405e13i | 0.871985 | + | 1.51032i | ||||
\(790\) | 1.91436e13 | 1.74864 | ||||||||
\(791\) | −2.13102e12 | − | 3.69104e12i | −0.193550 | − | 0.335239i | ||||
\(792\) | 6.16791e10 | + | 1.06831e11i | 0.00557025 | + | 0.00964796i | ||||
\(793\) | −1.56102e13 | + | 2.70377e13i | −1.40178 | + | 2.42795i | ||||
\(794\) | 2.84068e12 | − | 4.92020e12i | 0.253647 | − | 0.439329i | ||||
\(795\) | −3.94493e11 | −0.0350257 | ||||||||
\(796\) | 3.00023e12 | 0.264878 | ||||||||
\(797\) | 9.20628e12 | − | 1.59457e13i | 0.808205 | − | 1.39985i | −0.105901 | − | 0.994377i | \(-0.533773\pi\) |
0.914106 | − | 0.405476i | \(-0.132894\pi\) | |||||||
\(798\) | −2.07978e12 | + | 3.60229e12i | −0.181554 | + | 0.314460i | ||||
\(799\) | 1.03120e12 | + | 1.78610e12i | 0.0895126 | + | 0.155040i | ||||
\(800\) | −1.94515e12 | − | 3.36910e12i | −0.167899 | − | 0.290810i | ||||
\(801\) | 9.68139e11 | 0.0830982 | ||||||||
\(802\) | −9.33663e12 | − | 1.61715e13i | −0.796903 | − | 1.38028i | ||||
\(803\) | 7.46499e11 | + | 1.29297e12i | 0.0633592 | + | 0.109741i | ||||
\(804\) | −1.03069e12 | − | 1.78522e12i | −0.0869917 | − | 0.150674i | ||||
\(805\) | 5.68486e12 | − | 9.84647e12i | 0.477132 | − | 0.826417i | ||||
\(806\) | −1.26772e13 | −1.05807 | ||||||||
\(807\) | 4.73149e11 | − | 8.19518e11i | 0.0392705 | − | 0.0680185i | ||||
\(808\) | 8.31014e12 | + | 1.43936e13i | 0.685894 | + | 1.18800i | ||||
\(809\) | 9.17994e12 | 0.753479 | 0.376740 | − | 0.926319i | \(-0.377045\pi\) | ||||
0.376740 | + | 0.926319i | \(0.377045\pi\) | |||||||
\(810\) | −7.17816e12 | − | 1.24329e13i | −0.585910 | − | 1.01483i | ||||
\(811\) | −1.01761e13 | + | 1.76254e13i | −0.826011 | + | 1.43069i | 0.0751336 | + | 0.997173i | \(0.476062\pi\) |
−0.901144 | + | 0.433519i | \(0.857272\pi\) | |||||||
\(812\) | 5.33762e12 | − | 9.24503e12i | 0.430869 | − | 0.746288i | ||||
\(813\) | −1.20940e12 | −0.0970874 | ||||||||
\(814\) | −7.67539e11 | + | 1.32942e12i | −0.0612760 | + | 0.106133i | ||||
\(815\) | 1.30863e13 | 1.03898 | ||||||||
\(816\) | −2.90229e12 | −0.229158 | ||||||||
\(817\) | 2.91746e12 | + | 1.26117e12i | 0.229090 | + | 0.0990318i | ||||
\(818\) | −1.38622e13 | −1.08254 | ||||||||
\(819\) | −5.15649e12 | −0.400476 | ||||||||
\(820\) | −2.13199e11 | + | 3.69272e11i | −0.0164673 | + | 0.0285223i | ||||
\(821\) | −1.24683e13 | −0.957777 | −0.478888 | − | 0.877876i | \(-0.658960\pi\) | ||||
−0.478888 | + | 0.877876i | \(0.658960\pi\) | |||||||
\(822\) | 1.00231e13 | − | 1.73606e13i | 0.765737 | − | 1.32630i | ||||
\(823\) | −3.68186e11 | + | 6.37716e11i | −0.0279748 | + | 0.0484538i | −0.879674 | − | 0.475577i | \(-0.842239\pi\) |
0.851699 | + | 0.524031i | \(0.175572\pi\) | |||||||
\(824\) | −3.92739e12 | − | 6.80244e12i | −0.296778 | − | 0.514034i | ||||
\(825\) | 5.91290e11 | 0.0444383 | ||||||||
\(826\) | −1.55392e13 | − | 2.69146e13i | −1.16150 | − | 2.01177i | ||||
\(827\) | −7.95226e12 | + | 1.37737e13i | −0.591174 | + | 1.02394i | 0.402900 | + | 0.915244i | \(0.368002\pi\) |
−0.994075 | + | 0.108700i | \(0.965331\pi\) | |||||||
\(828\) | 4.12625e11 | 0.0305084 | ||||||||
\(829\) | −4.31627e12 | + | 7.47600e12i | −0.317405 | + | 0.549761i | −0.979946 | − | 0.199265i | \(-0.936145\pi\) |
0.662541 | + | 0.749026i | \(0.269478\pi\) | |||||||
\(830\) | −8.23936e12 | − | 1.42710e13i | −0.602618 | − | 1.04376i | ||||
\(831\) | −4.50567e12 | − | 7.80405e12i | −0.327759 | − | 0.567696i | ||||
\(832\) | −5.98769e12 | − | 1.03710e13i | −0.433216 | − | 0.750352i | ||||
\(833\) | 2.40923e12 | 0.173371 | ||||||||
\(834\) | −1.35627e12 | − | 2.34913e12i | −0.0970732 | − | 0.168136i | ||||
\(835\) | −5.89803e12 | − | 1.02157e13i | −0.419873 | − | 0.727241i | ||||
\(836\) | 5.89416e10 | − | 1.02090e11i | 0.00417344 | − | 0.00722860i | ||||
\(837\) | 3.57776e12 | − | 6.19686e12i | 0.251969 | − | 0.436423i | ||||
\(838\) | 2.71550e13 | 1.90218 | ||||||||
\(839\) | 2.44531e13 | 1.70375 | 0.851875 | − | 0.523745i | \(-0.175466\pi\) | ||||
0.851875 | + | 0.523745i | \(0.175466\pi\) | |||||||
\(840\) | −8.38718e12 | + | 1.45270e13i | −0.581245 | + | 1.00675i | ||||
\(841\) | −1.67059e13 | + | 2.89354e13i | −1.15156 | + | 1.99456i | ||||
\(842\) | −1.40346e13 | − | 2.43087e13i | −0.962268 | − | 1.66670i | ||||
\(843\) | −1.98917e12 | − | 3.44535e12i | −0.135659 | − | 0.234968i | ||||
\(844\) | −4.04964e12 | −0.274711 | ||||||||
\(845\) | −2.43665e13 | − | 4.22040e13i | −1.64413 | − | 2.84773i | ||||
\(846\) | 1.16933e12 | + | 2.02534e12i | 0.0784822 | + | 0.135935i | ||||
\(847\) | 1.01040e13 | + | 1.75007e13i | 0.674559 | + | 1.16837i | ||||
\(848\) | −2.86842e11 | + | 4.96824e11i | −0.0190485 | + | 0.0329930i | ||||
\(849\) | −3.87454e12 | −0.255939 | ||||||||
\(850\) | 9.01718e11 | − | 1.56182e12i | 0.0592496 | − | 0.102623i | ||||
\(851\) | −4.80572e12 | − | 8.32376e12i | −0.314106 | − | 0.544047i | ||||
\(852\) | −9.07340e11 | −0.0589918 | ||||||||
\(853\) | 1.20702e13 | + | 2.09062e13i | 0.780627 | + | 1.35209i | 0.931577 | + | 0.363544i | \(0.118433\pi\) |
−0.150950 | + | 0.988541i | \(0.548233\pi\) | |||||||
\(854\) | 1.79527e13 | − | 3.10950e13i | 1.15497 | − | 2.00046i | ||||
\(855\) | −3.66368e11 | + | 6.34568e11i | −0.0234461 | + | 0.0406098i | ||||
\(856\) | −1.01168e12 | −0.0644037 | ||||||||
\(857\) | −2.20470e12 | + | 3.81865e12i | −0.139616 | + | 0.241822i | −0.927351 | − | 0.374192i | \(-0.877920\pi\) |
0.787735 | + | 0.616014i | \(0.211253\pi\) | |||||||
\(858\) | −3.12597e12 | −0.196921 | ||||||||
\(859\) | −7.61693e12 | −0.477321 | −0.238661 | − | 0.971103i | \(-0.576708\pi\) | ||||
−0.238661 | + | 0.971103i | \(0.576708\pi\) | |||||||
\(860\) | −6.28539e12 | − | 2.71707e12i | −0.391822 | − | 0.169378i | ||||
\(861\) | 1.55893e12 | 0.0966744 | ||||||||
\(862\) | 1.53677e13 | 0.948037 | ||||||||
\(863\) | 8.70493e12 | − | 1.50774e13i | 0.534216 | − | 0.925288i | −0.464985 | − | 0.885318i | \(-0.653940\pi\) |
0.999201 | − | 0.0399700i | \(-0.0127262\pi\) | |||||||
\(864\) | −1.16088e13 | −0.708720 | ||||||||
\(865\) | −1.08018e13 | + | 1.87093e13i | −0.656031 | + | 1.13628i | ||||
\(866\) | −6.09177e11 | + | 1.05513e12i | −0.0368055 | + | 0.0637490i | ||||
\(867\) | 7.33938e12 | + | 1.27122e13i | 0.441137 | + | 0.764072i | ||||
\(868\) | 3.76553e12 | 0.225158 | ||||||||
\(869\) | 9.91760e11 | + | 1.71778e12i | 0.0589953 | + | 0.102183i | ||||
\(870\) | −2.01129e13 | + | 3.48365e13i | −1.19025 | + | 2.06157i | ||||
\(871\) | 1.76986e13 | 1.04198 | ||||||||
\(872\) | 6.55949e12 | − | 1.13614e13i | 0.384190 | − | 0.665436i | ||||
\(873\) | 1.82999e12 | + | 3.16963e12i | 0.106631 | + | 0.184691i | ||||
\(874\) | 1.42889e12 | + | 2.47491e12i | 0.0828318 | + | 0.143469i | ||||
\(875\) | 7.19538e12 | + | 1.24628e13i | 0.414971 | + | 0.718750i | ||||
\(876\) | −7.36788e12 | −0.422741 | ||||||||
\(877\) | −1.07494e13 | − | 1.86186e13i | −0.613603 | − | 1.06279i | −0.990628 | − | 0.136588i | \(-0.956386\pi\) |
0.377025 | − | 0.926203i | \(-0.376947\pi\) | |||||||
\(878\) | 6.84102e12 | + | 1.18490e13i | 0.388504 | + | 0.672909i | ||||
\(879\) | 3.20084e12 | − | 5.54402e12i | 0.180848 | − | 0.313238i | ||||
\(880\) | 1.28500e12 | − | 2.22568e12i | 0.0722321 | − | 0.125110i | ||||
\(881\) | 3.21093e13 | 1.79572 | 0.897861 | − | 0.440278i | \(-0.145120\pi\) | ||||
0.897861 | + | 0.440278i | \(0.145120\pi\) | |||||||
\(882\) | 2.73194e12 | 0.152007 | ||||||||
\(883\) | 9.13030e11 | − | 1.58141e12i | 0.0505431 | − | 0.0875432i | −0.839647 | − | 0.543133i | \(-0.817238\pi\) |
0.890190 | + | 0.455589i | \(0.150571\pi\) | |||||||
\(884\) | −1.23122e12 | + | 2.13254e12i | −0.0678113 | + | 0.117453i | ||||
\(885\) | 1.51229e13 | + | 2.61936e13i | 0.828687 | + | 1.43533i | ||||
\(886\) | 6.23031e12 | + | 1.07912e13i | 0.339671 | + | 0.588327i | ||||
\(887\) | 8.36464e12 | 0.453723 | 0.226862 | − | 0.973927i | \(-0.427153\pi\) | ||||
0.226862 | + | 0.973927i | \(0.427153\pi\) | |||||||
\(888\) | 7.09014e12 | + | 1.22805e13i | 0.382645 | + | 0.662761i | ||||
\(889\) | −2.25924e13 | − | 3.91312e13i | −1.21312 | − | 2.10119i | ||||
\(890\) | −7.22283e12 | − | 1.25103e13i | −0.385880 | − | 0.668364i | ||||
\(891\) | 7.43750e11 | − | 1.28821e12i | 0.0395346 | − | 0.0684760i | ||||
\(892\) | 4.01411e11 | 0.0212299 | ||||||||
\(893\) | −2.09167e12 | + | 3.62287e12i | −0.110068 | + | 0.190643i | ||||
\(894\) | −6.35310e12 | − | 1.10039e13i | −0.332634 | − | 0.576139i | ||||
\(895\) | −2.35751e13 | −1.22815 | ||||||||
\(896\) | 1.56583e13 | + | 2.71210e13i | 0.811632 | + | 1.40579i | ||||
\(897\) | 9.78619e12 | − | 1.69502e13i | 0.504717 | − | 0.874195i | ||||
\(898\) | −9.42426e12 | + | 1.63233e13i | −0.483619 | + | 0.837653i | ||||
\(899\) | −1.69027e13 | −0.863051 | ||||||||
\(900\) | 2.64086e11 | − | 4.57410e11i | 0.0134170 | − | 0.0232389i | ||||
\(901\) | −1.24668e11 | −0.00630220 | ||||||||
\(902\) | −1.71060e11 | −0.00860437 | ||||||||
\(903\) | 2.88696e12 | + | 2.48678e13i | 0.144493 | + | 1.24463i | ||||
\(904\) | 4.32011e12 | 0.215148 | ||||||||
\(905\) | −1.15615e13 | −0.572923 | ||||||||
\(906\) | 1.33829e13 | − | 2.31798e13i | 0.659892 | − | 1.14297i | ||||
\(907\) | 3.94897e13 | 1.93754 | 0.968771 | − | 0.247955i | \(-0.0797586\pi\) | ||||
0.968771 | + | 0.247955i | \(0.0797586\pi\) | |||||||
\(908\) | 4.82529e12 | − | 8.35766e12i | 0.235580 | − | 0.408036i | ||||
\(909\) | −2.85921e12 | + | 4.95230e12i | −0.138902 | + | 0.240586i | ||||
\(910\) | 3.84702e13 | + | 6.66323e13i | 1.85968 | + | 3.22106i | ||||
\(911\) | 2.16412e13 | 1.04099 | 0.520497 | − | 0.853864i | \(-0.325747\pi\) | ||||
0.520497 | + | 0.853864i | \(0.325747\pi\) | |||||||
\(912\) | −2.94346e12 | − | 5.09823e12i | −0.140891 | − | 0.244030i | ||||
\(913\) | 8.53704e11 | − | 1.47866e12i | 0.0406620 | − | 0.0704287i | ||||
\(914\) | −2.34066e13 | −1.10938 | ||||||||
\(915\) | −1.74718e13 | + | 3.02621e13i | −0.824030 | + | 1.42726i | ||||
\(916\) | 1.82604e12 | + | 3.16280e12i | 0.0857002 | + | 0.148437i | ||||
\(917\) | 1.45901e12 | + | 2.52708e12i | 0.0681392 | + | 0.118020i | ||||
\(918\) | −2.69076e12 | − | 4.66053e12i | −0.125050 | − | 0.216592i | ||||
\(919\) | −2.48797e13 | −1.15060 | −0.575301 | − | 0.817942i | \(-0.695115\pi\) | ||||
−0.575301 | + | 0.817942i | \(0.695115\pi\) | |||||||
\(920\) | 5.76231e12 | + | 9.98061e12i | 0.265186 | + | 0.459316i | ||||
\(921\) | −9.32030e12 | − | 1.61432e13i | −0.426837 | − | 0.739303i | ||||
\(922\) | −8.40360e12 | + | 1.45555e13i | −0.382980 | + | 0.663341i | ||||
\(923\) | 3.89511e12 | − | 6.74653e12i | 0.176649 | − | 0.305966i | ||||
\(924\) | 9.28515e11 | 0.0419049 | ||||||||
\(925\) | −1.23029e13 | −0.552549 | ||||||||
\(926\) | −2.08014e13 | + | 3.60291e13i | −0.929701 | + | 1.61029i | ||||
\(927\) | 1.35127e12 | − | 2.34047e12i | 0.0601012 | − | 0.104098i | ||||
\(928\) | 1.37110e13 | + | 2.37482e13i | 0.606883 | + | 1.05115i | ||||
\(929\) | −1.16725e12 | − | 2.02173e12i | −0.0514152 | − | 0.0890538i | 0.839172 | − | 0.543866i | \(-0.183040\pi\) |
−0.890588 | + | 0.454812i | \(0.849707\pi\) | |||||||
\(930\) | −1.41890e13 | −0.621983 | ||||||||
\(931\) | 2.44341e12 | + | 4.23211e12i | 0.106591 | + | 0.184622i | ||||
\(932\) | 3.78947e12 | + | 6.56355e12i | 0.164515 | + | 0.284949i | ||||
\(933\) | −7.49914e12 | − | 1.29889e13i | −0.323999 | − | 0.561183i | ||||
\(934\) | 9.17579e12 | − | 1.58929e13i | 0.394532 | − | 0.683350i | ||||
\(935\) | 5.58488e11 | 0.0238980 | ||||||||
\(936\) | 2.61337e12 | − | 4.52649e12i | 0.111291 | − | 0.192762i | ||||
\(937\) | −4.77343e12 | − | 8.26782e12i | −0.202303 | − | 0.350399i | 0.746967 | − | 0.664861i | \(-0.231509\pi\) |
−0.949270 | + | 0.314462i | \(0.898176\pi\) | |||||||
\(938\) | −2.03545e13 | −0.858517 | ||||||||
\(939\) | 4.09383e12 | + | 7.09072e12i | 0.171844 | + | 0.297643i | ||||
\(940\) | 4.50629e12 | − | 7.80512e12i | 0.188254 | − | 0.326065i | ||||
\(941\) | 5.73311e11 | − | 9.93004e11i | 0.0238362 | − | 0.0412855i | −0.853861 | − | 0.520501i | \(-0.825745\pi\) |
0.877697 | + | 0.479215i | \(0.159079\pi\) | |||||||
\(942\) | 4.12837e13 | 1.70824 | ||||||||
\(943\) | 5.35521e11 | − | 9.27550e11i | 0.0220533 | − | 0.0381975i | ||||
\(944\) | 4.39844e13 | 1.80270 | ||||||||
\(945\) | −4.34283e13 | −1.77145 | ||||||||
\(946\) | −3.16784e11 | − | 2.72872e12i | −0.0128604 | − | 0.110777i | ||||
\(947\) | −1.36705e12 | −0.0552345 | −0.0276173 | − | 0.999619i | \(-0.508792\pi\) | ||||
−0.0276173 | + | 0.999619i | \(0.508792\pi\) | |||||||
\(948\) | −9.78858e12 | −0.393625 | ||||||||
\(949\) | 3.16295e13 | − | 5.47839e13i | 1.26588 | − | 2.19258i | ||||
\(950\) | 3.65804e12 | 0.145711 | ||||||||
\(951\) | 1.14011e13 | − | 1.97472e13i | 0.451994 | − | 0.782877i | ||||
\(952\) | −2.65051e12 | + | 4.59082e12i | −0.104584 | + | 0.181144i | ||||
\(953\) | 3.13394e12 | + | 5.42814e12i | 0.123076 | + | 0.213173i | 0.920979 | − | 0.389612i | \(-0.127391\pi\) |
−0.797903 | + | 0.602785i | \(0.794058\pi\) | |||||||
\(954\) | −1.41366e11 | −0.00552559 | ||||||||
\(955\) | 1.77107e13 | + | 3.06759e13i | 0.689003 | + | 1.19339i | ||||
\(956\) | 2.93387e12 | − | 5.08160e12i | 0.113600 | − | 0.196762i | ||||
\(957\) | −4.16791e12 | −0.160625 | ||||||||
\(958\) | −2.17690e13 | + | 3.77050e13i | −0.835014 | + | 1.44629i | ||||
\(959\) | −2.55615e13 | − | 4.42738e13i | −0.975893 | − | 1.69030i | ||||
\(960\) | −6.70176e12 | − | 1.16078e13i | −0.254665 | − | 0.441092i | ||||
\(961\) | 1.02387e13 | + | 1.77340e13i | 0.387250 | + | 0.670736i | ||||
\(962\) | 6.50419e13 | 2.44853 | ||||||||
\(963\) | −1.74041e11 | − | 3.01447e11i | −0.00652128 | − | 0.0112952i | ||||
\(964\) | −4.98977e12 | − | 8.64253e12i | −0.186094 | − | 0.322325i | ||||
\(965\) | 3.06549e13 | − | 5.30959e13i | 1.13796 | − | 1.97101i | ||||
\(966\) | −1.12547e13 | + | 1.94938e13i | −0.415852 | + | 0.720276i | ||||
\(967\) | −1.27122e13 | −0.467521 | −0.233760 | − | 0.972294i | \(-0.575103\pi\) | ||||
−0.233760 | + | 0.972294i | \(0.575103\pi\) | |||||||
\(968\) | −2.04834e13 | −0.749830 | ||||||||
\(969\) | 6.39647e11 | − | 1.10790e12i | 0.0233068 | − | 0.0403686i | ||||
\(970\) | 2.73054e13 | − | 4.72943e13i | 0.990320 | − | 1.71528i | ||||
\(971\) | −2.00724e13 | − | 3.47664e13i | −0.724624 | − | 1.25509i | −0.959128 | − | 0.282971i | \(-0.908680\pi\) |
0.234504 | − | 0.972115i | \(-0.424653\pi\) | |||||||
\(972\) | −1.47136e12 | − | 2.54846e12i | −0.0528712 | − | 0.0915756i | ||||
\(973\) | −6.91767e12 | −0.247430 | ||||||||
\(974\) | 2.16226e13 | + | 3.74514e13i | 0.769824 | + | 1.33337i | ||||
\(975\) | −1.25266e13 | − | 2.16967e13i | −0.443928 | − | 0.768906i | ||||
\(976\) | 2.54080e13 | + | 4.40080e13i | 0.896287 | + | 1.55241i | ||||
\(977\) | −1.81624e13 | + | 3.14582e13i | −0.637746 | + | 1.10461i | 0.348180 | + | 0.937428i | \(0.386800\pi\) |
−0.985926 | + | 0.167181i | \(0.946533\pi\) | |||||||
\(978\) | −2.59079e13 | −0.905538 | ||||||||
\(979\) | 7.48379e11 | − | 1.29623e12i | 0.0260375 | − | 0.0450983i | ||||
\(980\) | −5.26408e12 | − | 9.11766e12i | −0.182308 | − | 0.315766i | ||||
\(981\) | 4.51376e12 | 0.155606 | ||||||||
\(982\) | −1.90339e13 | − | 3.29677e13i | −0.653170 | − | 1.13132i | ||||
\(983\) | 2.05569e13 | − | 3.56055e13i | 0.702208 | − | 1.21626i | −0.265482 | − | 0.964116i | \(-0.585531\pi\) |
0.967690 | − | 0.252144i | \(-0.0811357\pi\) | |||||||
\(984\) | −7.90082e11 | + | 1.36846e12i | −0.0268655 | + | 0.0465324i | ||||
\(985\) | −4.95644e13 | −1.67767 | ||||||||
\(986\) | −6.35606e12 | + | 1.10090e13i | −0.214162 | + | 0.370939i | ||||
\(987\) | −3.29503e13 | −1.10518 | ||||||||
\(988\) | −4.99476e12 | −0.166766 | ||||||||
\(989\) | 1.57879e13 | + | 6.82483e12i | 0.524735 | + | 0.226834i | ||||
\(990\) | 6.33296e11 | 0.0209531 | ||||||||
\(991\) | −3.94250e13 | −1.29850 | −0.649248 | − | 0.760577i | \(-0.724916\pi\) | ||||
−0.649248 | + | 0.760577i | \(0.724916\pi\) | |||||||
\(992\) | −4.83636e12 | + | 8.37682e12i | −0.158568 | + | 0.274648i | ||||
\(993\) | 2.94629e13 | 0.961619 | ||||||||
\(994\) | −4.47962e12 | + | 7.75893e12i | −0.145547 | + | 0.252094i | ||||
\(995\) | −1.44156e13 | + | 2.49686e13i | −0.466262 | + | 0.807589i | ||||
\(996\) | 4.21299e12 | + | 7.29711e12i | 0.135651 | + | 0.234955i | ||||
\(997\) | −1.93713e13 | −0.620913 | −0.310456 | − | 0.950588i | \(-0.600482\pi\) | ||||
−0.310456 | + | 0.950588i | \(0.600482\pi\) | |||||||
\(998\) | −2.55415e13 | − | 4.42392e13i | −0.815004 | − | 1.41163i | ||||
\(999\) | −1.83562e13 | + | 3.17938e13i | −0.583092 | + | 1.00995i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.10.c.a.6.8 | ✓ | 64 | |
43.36 | even | 3 | inner | 43.10.c.a.36.8 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.c.a.6.8 | ✓ | 64 | 1.1 | even | 1 | trivial | |
43.10.c.a.36.8 | yes | 64 | 43.36 | even | 3 | inner |