Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,16,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 16, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 16);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 16 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), 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: | \(17.1232206120\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.16.b.a.11.9 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −83.3106 | + | 160.709i | −0.460230 | + | 0.887800i | ||||
\(3\) | 3555.47 | + | 1306.74i | 0.938614 | + | 0.344968i | ||||
\(4\) | −18886.7 | − | 26777.5i | −0.576376 | − | 0.817185i | ||||
\(5\) | − | 93360.9i | − | 0.534429i | −0.963637 | − | 0.267214i | \(-0.913897\pi\) | ||
0.963637 | − | 0.267214i | \(-0.0861032\pi\) | |||||||
\(6\) | −506212. | + | 462530.i | −0.738241 | + | 0.674537i | ||||
\(7\) | 1.14542e6i | 0.525688i | 0.964838 | + | 0.262844i | \(0.0846605\pi\) | ||||
−0.964838 | + | 0.262844i | \(0.915339\pi\) | |||||||
\(8\) | 5.87684e6 | − | 804409.i | 0.990762 | − | 0.135613i | ||||
\(9\) | 1.09338e7 | + | 9.29212e6i | 0.761994 | + | 0.647584i | ||||
\(10\) | 1.50039e7 | + | 7.77795e6i | 0.474466 | + | 0.245960i | ||||
\(11\) | −1.80841e6 | −0.0279803 | −0.0139901 | − | 0.999902i | \(-0.504453\pi\) | ||||
−0.0139901 | + | 0.999902i | \(0.504453\pi\) | |||||||
\(12\) | −3.21598e7 | − | 1.19886e8i | −0.259092 | − | 0.965853i | ||||
\(13\) | 3.17574e8 | 1.40369 | 0.701843 | − | 0.712331i | \(-0.252361\pi\) | ||||
0.701843 | + | 0.712331i | \(0.252361\pi\) | |||||||
\(14\) | −1.84079e8 | − | 9.54254e7i | −0.466706 | − | 0.241938i | ||||
\(15\) | 1.21998e8 | − | 3.31942e8i | 0.184361 | − | 0.501623i | ||||
\(16\) | −3.60328e8 | + | 1.01148e9i | −0.335581 | + | 0.942011i | ||||
\(17\) | 2.67956e9i | 1.58378i | 0.610661 | + | 0.791892i | \(0.290904\pi\) | ||||
−0.610661 | + | 0.791892i | \(0.709096\pi\) | |||||||
\(18\) | −2.40423e9 | + | 9.83024e8i | −0.925618 | + | 0.378460i | ||||
\(19\) | 2.07292e9i | 0.532024i | 0.963970 | + | 0.266012i | \(0.0857060\pi\) | ||||
−0.963970 | + | 0.266012i | \(0.914294\pi\) | |||||||
\(20\) | −2.49997e9 | + | 1.76328e9i | −0.436727 | + | 0.308032i | ||||
\(21\) | −1.49676e9 | + | 4.07249e9i | −0.181346 | + | 0.493419i | ||||
\(22\) | 1.50660e8 | − | 2.90628e8i | 0.0128774 | − | 0.0248409i | ||||
\(23\) | −2.43757e10 | −1.49279 | −0.746393 | − | 0.665505i | \(-0.768216\pi\) | ||||
−0.746393 | + | 0.665505i | \(0.768216\pi\) | |||||||
\(24\) | 2.19461e10 | + | 4.81944e9i | 0.976726 | + | 0.214493i | ||||
\(25\) | 2.18013e10 | 0.714386 | ||||||||
\(26\) | −2.64573e10 | + | 5.10370e10i | −0.646019 | + | 1.24619i | ||||
\(27\) | 2.67323e10 | + | 4.73254e10i | 0.491823 | + | 0.870695i | ||||
\(28\) | 3.06714e10 | − | 2.16331e10i | 0.429584 | − | 0.302994i | ||||
\(29\) | − | 4.77985e9i | − | 0.0514552i | −0.999669 | − | 0.0257276i | \(-0.991810\pi\) | ||
0.999669 | − | 0.0257276i | \(-0.00819025\pi\) | |||||||
\(30\) | 4.31822e10 | + | 4.72604e10i | 0.360492 | + | 0.394537i | ||||
\(31\) | 5.30495e10i | 0.346313i | 0.984894 | + | 0.173156i | \(0.0553966\pi\) | ||||
−0.984894 | + | 0.173156i | \(0.944603\pi\) | |||||||
\(32\) | −1.32534e11 | − | 1.42175e11i | −0.681872 | − | 0.731471i | ||||
\(33\) | −6.42975e9 | − | 2.36312e9i | −0.0262627 | − | 0.00965230i | ||||
\(34\) | −4.30629e11 | − | 2.23235e11i | −1.40608 | − | 0.728906i | ||||
\(35\) | 1.06937e11 | 0.280943 | ||||||||
\(36\) | 4.23169e10 | − | 4.68277e11i | 0.0900005 | − | 0.995942i | ||||
\(37\) | 4.06413e11 | 0.703808 | 0.351904 | − | 0.936036i | \(-0.385534\pi\) | ||||
0.351904 | + | 0.936036i | \(0.385534\pi\) | |||||||
\(38\) | −3.33137e11 | − | 1.72696e11i | −0.472330 | − | 0.244853i | ||||
\(39\) | 1.12912e12 | + | 4.14986e11i | 1.31752 | + | 0.484227i | ||||
\(40\) | −7.51003e10 | − | 5.48667e11i | −0.0724756 | − | 0.529492i | ||||
\(41\) | − | 1.36874e12i | − | 1.09760i | −0.835954 | − | 0.548799i | \(-0.815085\pi\) | ||
0.835954 | − | 0.548799i | \(-0.184915\pi\) | |||||||
\(42\) | −5.29790e11 | − | 5.79824e11i | −0.354596 | − | 0.388085i | ||||
\(43\) | 2.85013e12i | 1.59901i | 0.600661 | + | 0.799504i | \(0.294904\pi\) | ||||
−0.600661 | + | 0.799504i | \(0.705096\pi\) | |||||||
\(44\) | 3.41549e10 | + | 4.84247e10i | 0.0161272 | + | 0.0228651i | ||||
\(45\) | 8.67521e11 | − | 1.02079e12i | 0.346088 | − | 0.407232i | ||||
\(46\) | 2.03075e12 | − | 3.91739e12i | 0.687026 | − | 1.32530i | ||||
\(47\) | 7.27503e11 | 0.209460 | 0.104730 | − | 0.994501i | \(-0.466602\pi\) | ||||
0.104730 | + | 0.994501i | \(0.466602\pi\) | |||||||
\(48\) | −2.60287e12 | + | 3.12542e12i | −0.639945 | + | 0.768421i | ||||
\(49\) | 3.43558e12 | 0.723652 | ||||||||
\(50\) | −1.81628e12 | + | 3.50367e12i | −0.328782 | + | 0.634231i | ||||
\(51\) | −3.50148e12 | + | 9.52708e12i | −0.546355 | + | 1.48656i | ||||
\(52\) | −5.99793e12 | − | 8.50385e12i | −0.809051 | − | 1.14707i | ||||
\(53\) | 7.05903e12i | 0.825422i | 0.910862 | + | 0.412711i | \(0.135418\pi\) | ||||
−0.910862 | + | 0.412711i | \(0.864582\pi\) | |||||||
\(54\) | −9.83270e12 | + | 3.53416e11i | −0.999355 | + | 0.0359197i | ||||
\(55\) | 1.68835e11i | 0.0149535i | ||||||||
\(56\) | 9.21384e11 | + | 6.73144e12i | 0.0712903 | + | 0.520832i | ||||
\(57\) | −2.70876e12 | + | 7.37020e12i | −0.183531 | + | 0.499365i | ||||
\(58\) | 7.68164e11 | + | 3.98212e11i | 0.0456819 | + | 0.0236812i | ||||
\(59\) | 1.63957e13 | 0.857707 | 0.428853 | − | 0.903374i | \(-0.358918\pi\) | ||||
0.428853 | + | 0.903374i | \(0.358918\pi\) | |||||||
\(60\) | −1.11927e13 | + | 3.00247e12i | −0.516179 | + | 0.138466i | ||||
\(61\) | 3.06206e13 | 1.24750 | 0.623749 | − | 0.781624i | \(-0.285609\pi\) | ||||
0.623749 | + | 0.781624i | \(0.285609\pi\) | |||||||
\(62\) | −8.52552e12 | − | 4.41958e12i | −0.307456 | − | 0.159384i | ||||
\(63\) | −1.06434e13 | + | 1.25237e13i | −0.340427 | + | 0.400571i | ||||
\(64\) | 3.38902e13 | − | 9.45477e12i | 0.963218 | − | 0.268721i | ||||
\(65\) | − | 2.96490e13i | − | 0.750171i | ||||||
\(66\) | 9.15440e11 | − | 8.36445e11i | 0.0206562 | − | 0.0188737i | ||||
\(67\) | − | 7.17216e13i | − | 1.44574i | −0.690986 | − | 0.722868i | \(-0.742823\pi\) | ||
0.690986 | − | 0.722868i | \(-0.257177\pi\) | |||||||
\(68\) | 7.17519e13 | − | 5.06080e13i | 1.29424 | − | 0.912855i | ||||
\(69\) | −8.66669e13 | − | 3.18526e13i | −1.40115 | − | 0.514964i | ||||
\(70\) | −8.90900e12 | + | 1.71857e13i | −0.129299 | + | 0.249421i | ||||
\(71\) | −4.82624e13 | −0.629755 | −0.314877 | − | 0.949132i | \(-0.601963\pi\) | ||||
−0.314877 | + | 0.949132i | \(0.601963\pi\) | |||||||
\(72\) | 7.17308e13 | + | 4.58131e13i | 0.842776 | + | 0.538265i | ||||
\(73\) | −9.56538e13 | −1.01340 | −0.506700 | − | 0.862122i | \(-0.669135\pi\) | ||||
−0.506700 | + | 0.862122i | \(0.669135\pi\) | |||||||
\(74\) | −3.38585e13 | + | 6.53141e13i | −0.323914 | + | 0.624841i | ||||
\(75\) | 7.75139e13 | + | 2.84886e13i | 0.670533 | + | 0.246440i | ||||
\(76\) | 5.55077e13 | − | 3.91506e13i | 0.434761 | − | 0.306646i | ||||
\(77\) | − | 2.07139e12i | − | 0.0147089i | ||||||
\(78\) | −1.60760e14 | + | 1.46888e14i | −1.03626 | + | 0.946838i | ||||
\(79\) | − | 3.27912e14i | − | 1.92112i | −0.278079 | − | 0.960558i | \(-0.589698\pi\) | ||
0.278079 | − | 0.960558i | \(-0.410302\pi\) | |||||||
\(80\) | 9.44324e13 | + | 3.36405e13i | 0.503438 | + | 0.179344i | ||||
\(81\) | 3.32041e13 | + | 2.03196e14i | 0.161270 | + | 0.986910i | ||||
\(82\) | 2.19969e14 | + | 1.14031e14i | 0.974447 | + | 0.505148i | ||||
\(83\) | −2.88031e14 | −1.16507 | −0.582537 | − | 0.812804i | \(-0.697940\pi\) | ||||
−0.582537 | + | 0.812804i | \(0.697940\pi\) | |||||||
\(84\) | 1.37320e14 | − | 3.68364e13i | 0.507737 | − | 0.136202i | ||||
\(85\) | 2.50166e14 | 0.846420 | ||||||||
\(86\) | −4.58041e14 | − | 2.37446e14i | −1.41960 | − | 0.735912i | ||||
\(87\) | 6.24600e12 | − | 1.69946e13i | 0.0177504 | − | 0.0482966i | ||||
\(88\) | −1.06278e13 | + | 1.45470e12i | −0.0277218 | + | 0.00379450i | ||||
\(89\) | 2.05245e14i | 0.491866i | 0.969287 | + | 0.245933i | \(0.0790944\pi\) | ||||
−0.969287 | + | 0.245933i | \(0.920906\pi\) | |||||||
\(90\) | 9.17760e13 | + | 2.24461e14i | 0.202260 | + | 0.494677i | ||||
\(91\) | 3.63755e14i | 0.737902i | ||||||||
\(92\) | 4.60376e14 | + | 6.52720e14i | 0.860406 | + | 1.21988i | ||||
\(93\) | −6.93217e13 | + | 1.88616e14i | −0.119467 | + | 0.325054i | ||||
\(94\) | −6.06087e13 | + | 1.16916e14i | −0.0963998 | + | 0.185958i | ||||
\(95\) | 1.93530e14 | 0.284329 | ||||||||
\(96\) | −2.85436e14 | − | 6.78684e14i | −0.387681 | − | 0.921794i | ||||
\(97\) | −5.41919e14 | −0.680999 | −0.340500 | − | 0.940245i | \(-0.610596\pi\) | ||||
−0.340500 | + | 0.940245i | \(0.610596\pi\) | |||||||
\(98\) | −2.86220e14 | + | 5.52128e14i | −0.333047 | + | 0.642458i | ||||
\(99\) | −1.97728e13 | − | 1.68040e13i | −0.0213208 | − | 0.0181196i | ||||
\(100\) | −4.11755e14 | − | 5.83785e14i | −0.411755 | − | 0.583785i | ||||
\(101\) | − | 2.07469e15i | − | 1.92550i | −0.270392 | − | 0.962750i | \(-0.587153\pi\) | ||
0.270392 | − | 0.962750i | \(-0.412847\pi\) | |||||||
\(102\) | −1.23938e15 | − | 1.35642e15i | −1.06832 | − | 1.16922i | ||||
\(103\) | 1.33536e15i | 1.06984i | 0.844902 | + | 0.534922i | \(0.179659\pi\) | ||||
−0.844902 | + | 0.534922i | \(0.820341\pi\) | |||||||
\(104\) | 1.86633e15 | − | 2.55460e14i | 1.39072 | − | 0.190358i | ||||
\(105\) | 3.80211e14 | + | 1.39739e14i | 0.263697 | + | 0.0969164i | ||||
\(106\) | −1.13445e15 | − | 5.88092e14i | −0.732809 | − | 0.379884i | ||||
\(107\) | 1.41960e15 | 0.854647 | 0.427324 | − | 0.904099i | \(-0.359457\pi\) | ||||
0.427324 | + | 0.904099i | \(0.359457\pi\) | |||||||
\(108\) | 7.62371e14 | − | 1.60965e15i | 0.428044 | − | 0.903758i | ||||
\(109\) | 1.76730e15 | 0.926000 | 0.463000 | − | 0.886358i | \(-0.346773\pi\) | ||||
0.463000 | + | 0.886358i | \(0.346773\pi\) | |||||||
\(110\) | −2.71333e13 | − | 1.40657e13i | −0.0132757 | − | 0.00688204i | ||||
\(111\) | 1.44499e15 | + | 5.31075e14i | 0.660605 | + | 0.242791i | ||||
\(112\) | −1.15856e15 | − | 4.12725e14i | −0.495204 | − | 0.176411i | ||||
\(113\) | − | 1.47671e14i | − | 0.0590481i | −0.999564 | − | 0.0295241i | \(-0.990601\pi\) | ||
0.999564 | − | 0.0295241i | \(-0.00939917\pi\) | |||||||
\(114\) | −9.58789e14 | − | 1.04934e15i | −0.358869 | − | 0.392762i | ||||
\(115\) | 2.27573e15i | 0.797788i | ||||||||
\(116\) | −1.27992e14 | + | 9.02755e13i | −0.0420484 | + | 0.0296575i | ||||
\(117\) | 3.47229e15 | + | 2.95094e15i | 1.06960 | + | 0.909005i | ||||
\(118\) | −1.36593e15 | + | 2.63493e15i | −0.394743 | + | 0.761472i | ||||
\(119\) | −3.06921e15 | −0.832577 | ||||||||
\(120\) | 4.49947e14 | − | 2.04891e15i | 0.114631 | − | 0.521990i | ||||
\(121\) | −4.17398e15 | −0.999217 | ||||||||
\(122\) | −2.55102e15 | + | 4.92100e15i | −0.574137 | + | 1.10753i | ||||
\(123\) | 1.78859e15 | − | 4.86652e15i | 0.378636 | − | 1.03022i | ||||
\(124\) | 1.42053e15 | − | 1.00193e15i | 0.283001 | − | 0.199606i | ||||
\(125\) | − | 4.88454e15i | − | 0.916217i | ||||||
\(126\) | −1.12597e15 | − | 2.75384e15i | −0.198952 | − | 0.486586i | ||||
\(127\) | 2.39188e15i | 0.398301i | 0.979969 | + | 0.199151i | \(0.0638183\pi\) | ||||
−0.979969 | + | 0.199151i | \(0.936182\pi\) | |||||||
\(128\) | −1.30395e15 | + | 6.23414e15i | −0.204732 | + | 0.978818i | ||||
\(129\) | −3.72437e15 | + | 1.01335e16i | −0.551607 | + | 1.50085i | ||||
\(130\) | 4.76486e15 | + | 2.47008e15i | 0.666001 | + | 0.345251i | ||||
\(131\) | −1.23826e16 | −1.63410 | −0.817049 | − | 0.576568i | \(-0.804392\pi\) | ||||
−0.817049 | + | 0.576568i | \(0.804392\pi\) | |||||||
\(132\) | 5.81582e13 | + | 2.16804e14i | 0.00724948 | + | 0.0270248i | ||||
\(133\) | −2.37436e15 | −0.279679 | ||||||||
\(134\) | 1.15263e16 | + | 5.97517e15i | 1.28352 | + | 0.665372i | ||||
\(135\) | 4.41834e15 | − | 2.49575e15i | 0.465325 | − | 0.262844i | ||||
\(136\) | 2.15546e15 | + | 1.57473e16i | 0.214782 | + | 1.56915i | ||||
\(137\) | − | 7.11951e15i | − | 0.671500i | −0.941951 | − | 0.335750i | \(-0.891010\pi\) | ||
0.941951 | − | 0.335750i | \(-0.108990\pi\) | |||||||
\(138\) | 1.23393e16 | − | 1.12745e16i | 1.10204 | − | 1.00694i | ||||
\(139\) | − | 1.47105e16i | − | 1.24456i | −0.782794 | − | 0.622281i | \(-0.786206\pi\) | ||
0.782794 | − | 0.622281i | \(-0.213794\pi\) | |||||||
\(140\) | −2.01969e15 | − | 2.86351e15i | −0.161929 | − | 0.229582i | ||||
\(141\) | 2.58661e15 | + | 9.50656e14i | 0.196602 | + | 0.0722570i | ||||
\(142\) | 4.02077e15 | − | 7.75620e15i | 0.289832 | − | 0.559096i | ||||
\(143\) | −5.74305e14 | −0.0392756 | ||||||||
\(144\) | −1.33385e16 | + | 7.71106e15i | −0.865742 | + | 0.500490i | ||||
\(145\) | −4.46251e14 | −0.0274991 | ||||||||
\(146\) | 7.96898e15 | − | 1.53724e16i | 0.466397 | − | 0.899696i | ||||
\(147\) | 1.22151e16 | + | 4.48940e15i | 0.679230 | + | 0.249637i | ||||
\(148\) | −7.67579e15 | − | 1.08827e16i | −0.405658 | − | 0.575141i | ||||
\(149\) | − | 1.71102e16i | − | 0.859720i | −0.902896 | − | 0.429860i | \(-0.858563\pi\) | ||
0.902896 | − | 0.429860i | \(-0.141437\pi\) | |||||||
\(150\) | −1.10361e16 | + | 1.00838e16i | −0.527389 | + | 0.481879i | ||||
\(151\) | − | 3.58511e16i | − | 1.62996i | −0.579492 | − | 0.814978i | \(-0.696749\pi\) | ||
0.579492 | − | 0.814978i | \(-0.303251\pi\) | |||||||
\(152\) | 1.66748e15 | + | 1.21822e16i | 0.0721494 | + | 0.527109i | ||||
\(153\) | −2.48988e16 | + | 2.92977e16i | −1.02563 | + | 1.20683i | ||||
\(154\) | 3.32890e14 | + | 1.72568e14i | 0.0130586 | + | 0.00676949i | ||||
\(155\) | 4.95275e15 | 0.185080 | ||||||||
\(156\) | −1.02131e16 | − | 3.80729e16i | −0.363684 | − | 1.35575i | ||||
\(157\) | 1.10073e16 | 0.373623 | 0.186811 | − | 0.982396i | \(-0.440185\pi\) | ||||
0.186811 | + | 0.982396i | \(0.440185\pi\) | |||||||
\(158\) | 5.26983e16 | + | 2.73185e16i | 1.70557 | + | 0.884156i | ||||
\(159\) | −9.22430e15 | + | 2.50981e16i | −0.284744 | + | 0.774753i | ||||
\(160\) | −1.32735e16 | + | 1.23735e16i | −0.390919 | + | 0.364412i | ||||
\(161\) | − | 2.79203e16i | − | 0.784741i | ||||||
\(162\) | −3.54217e16 | − | 1.15922e16i | −0.950400 | − | 0.311031i | ||||
\(163\) | 5.64997e16i | 1.44757i | 0.690026 | + | 0.723785i | \(0.257599\pi\) | ||||
−0.690026 | + | 0.723785i | \(0.742401\pi\) | |||||||
\(164\) | −3.66515e16 | + | 2.58510e16i | −0.896940 | + | 0.632629i | ||||
\(165\) | −2.20623e14 | + | 6.00287e14i | −0.00515847 | + | 0.0140355i | ||||
\(166\) | 2.39960e16 | − | 4.62891e16i | 0.536203 | − | 1.03435i | ||||
\(167\) | −5.17280e15 | −0.110497 | −0.0552487 | − | 0.998473i | \(-0.517595\pi\) | ||||
−0.0552487 | + | 0.998473i | \(0.517595\pi\) | |||||||
\(168\) | −5.52027e15 | + | 2.51374e16i | −0.112756 | + | 0.513453i | ||||
\(169\) | 4.96675e16 | 0.970336 | ||||||||
\(170\) | −2.08415e16 | + | 4.02039e16i | −0.389548 | + | 0.751451i | ||||
\(171\) | −1.92618e16 | + | 2.26649e16i | −0.344530 | + | 0.405399i | ||||
\(172\) | 7.63193e16 | − | 5.38295e16i | 1.30668 | − | 0.921630i | ||||
\(173\) | 2.04847e16i | 0.335802i | 0.985804 | + | 0.167901i | \(0.0536990\pi\) | ||||
−0.985804 | + | 0.167901i | \(0.946301\pi\) | |||||||
\(174\) | 2.21082e15 | + | 2.41962e15i | 0.0347084 | + | 0.0379863i | ||||
\(175\) | 2.49716e16i | 0.375544i | ||||||||
\(176\) | 6.51621e14 | − | 1.82917e15i | 0.00938966 | − | 0.0263577i | ||||
\(177\) | 5.82942e16 | + | 2.14248e16i | 0.805056 | + | 0.295881i | ||||
\(178\) | −3.29847e16 | − | 1.70991e16i | −0.436679 | − | 0.226372i | ||||
\(179\) | −4.73126e15 | −0.0600591 | −0.0300296 | − | 0.999549i | \(-0.509560\pi\) | ||||
−0.0300296 | + | 0.999549i | \(0.509560\pi\) | |||||||
\(180\) | −4.37187e16 | − | 3.95074e15i | −0.532260 | − | 0.0480989i | ||||
\(181\) | 3.30439e15 | 0.0385925 | 0.0192962 | − | 0.999814i | \(-0.493857\pi\) | ||||
0.0192962 | + | 0.999814i | \(0.493857\pi\) | |||||||
\(182\) | −5.84587e16 | − | 3.03046e16i | −0.655109 | − | 0.339605i | ||||
\(183\) | 1.08871e17 | + | 4.00131e16i | 1.17092 | + | 0.430347i | ||||
\(184\) | −1.43252e17 | + | 1.96080e16i | −1.47900 | + | 0.202442i | ||||
\(185\) | − | 3.79431e16i | − | 0.376136i | ||||||
\(186\) | −2.45370e16 | − | 2.68543e16i | −0.233601 | − | 0.255662i | ||||
\(187\) | − | 4.84574e15i | − | 0.0443147i | ||||||
\(188\) | −1.37401e16 | − | 1.94807e16i | −0.120728 | − | 0.171167i | ||||
\(189\) | −5.42073e16 | + | 3.06197e16i | −0.457714 | + | 0.258546i | ||||
\(190\) | −1.61231e16 | + | 3.11020e16i | −0.130857 | + | 0.252427i | ||||
\(191\) | −2.61282e16 | −0.203873 | −0.101936 | − | 0.994791i | \(-0.532504\pi\) | ||||
−0.101936 | + | 0.994791i | \(0.532504\pi\) | |||||||
\(192\) | 1.32850e17 | + | 1.06695e16i | 0.996791 | + | 0.0800542i | ||||
\(193\) | −7.78195e16 | −0.561576 | −0.280788 | − | 0.959770i | \(-0.590596\pi\) | ||||
−0.280788 | + | 0.959770i | \(0.590596\pi\) | |||||||
\(194\) | 4.51476e16 | − | 8.70912e16i | 0.313416 | − | 0.604591i | ||||
\(195\) | 3.87435e16 | − | 1.05416e17i | 0.258785 | − | 0.704121i | ||||
\(196\) | −6.48868e16 | − | 9.19963e16i | −0.417096 | − | 0.591357i | ||||
\(197\) | 4.41071e16i | 0.272905i | 0.990647 | + | 0.136453i | \(0.0435702\pi\) | ||||
−0.990647 | + | 0.136453i | \(0.956430\pi\) | |||||||
\(198\) | 4.34783e15 | − | 1.77771e15i | 0.0258990 | − | 0.0105894i | ||||
\(199\) | − | 2.17749e16i | − | 0.124899i | −0.998048 | − | 0.0624494i | \(-0.980109\pi\) | ||
0.998048 | − | 0.0624494i | \(-0.0198912\pi\) | |||||||
\(200\) | 1.28123e17 | − | 1.75372e16i | 0.707786 | − | 0.0968802i | ||||
\(201\) | 9.37213e16 | − | 2.55004e17i | 0.498733 | − | 1.35699i | ||||
\(202\) | 3.33422e17 | + | 1.72844e17i | 1.70946 | + | 0.886174i | ||||
\(203\) | 5.47492e15 | 0.0270494 | ||||||||
\(204\) | 3.21243e17 | − | 8.61741e16i | 1.52970 | − | 0.410346i | ||||
\(205\) | −1.27787e17 | −0.586588 | ||||||||
\(206\) | −2.14605e17 | − | 1.11250e17i | −0.949807 | − | 0.492375i | ||||
\(207\) | −2.66518e17 | − | 2.26502e17i | −1.13749 | − | 0.966705i | ||||
\(208\) | −1.14431e17 | + | 3.21219e17i | −0.471051 | + | 1.32229i | ||||
\(209\) | − | 3.74870e15i | − | 0.0148862i | ||||||
\(210\) | −5.41329e16 | + | 4.94616e16i | −0.207404 | + | 0.189506i | ||||
\(211\) | − | 2.03587e16i | − | 0.0752717i | −0.999292 | − | 0.0376358i | \(-0.988017\pi\) | ||
0.999292 | − | 0.0376358i | \(-0.0119827\pi\) | |||||||
\(212\) | 1.89023e17 | − | 1.33322e17i | 0.674522 | − | 0.475753i | ||||
\(213\) | −1.71595e17 | − | 6.30663e16i | −0.591097 | − | 0.217245i | ||||
\(214\) | −1.18268e17 | + | 2.28142e17i | −0.393335 | + | 0.758755i | ||||
\(215\) | 2.66090e17 | 0.854556 | ||||||||
\(216\) | 1.95171e17 | + | 2.56620e17i | 0.605357 | + | 0.795954i | ||||
\(217\) | −6.07638e16 | −0.182053 | ||||||||
\(218\) | −1.47235e17 | + | 2.84021e17i | −0.426174 | + | 0.822103i | ||||
\(219\) | −3.40094e17 | − | 1.24994e17i | −0.951192 | − | 0.349591i | ||||
\(220\) | 4.52098e15 | − | 3.18873e15i | 0.0122197 | − | 0.00861882i | ||||
\(221\) | 8.50958e17i | 2.22314i | ||||||||
\(222\) | −2.05731e17 | + | 1.87978e17i | −0.519580 | + | 0.474745i | ||||
\(223\) | − | 5.07606e16i | − | 0.123948i | −0.998078 | − | 0.0619741i | \(-0.980260\pi\) | ||
0.998078 | − | 0.0619741i | \(-0.0197396\pi\) | |||||||
\(224\) | 1.62849e17 | − | 1.51807e17i | 0.384526 | − | 0.358452i | ||||
\(225\) | 2.38371e17 | + | 2.02581e17i | 0.544358 | + | 0.462625i | ||||
\(226\) | 2.37320e16 | + | 1.23025e16i | 0.0524229 | + | 0.0271757i | ||||
\(227\) | −2.92651e17 | −0.625396 | −0.312698 | − | 0.949853i | \(-0.601233\pi\) | ||||
−0.312698 | + | 0.949853i | \(0.601233\pi\) | |||||||
\(228\) | 2.48515e17 | − | 6.66648e16i | 0.513856 | − | 0.137843i | ||||
\(229\) | −2.19585e17 | −0.439375 | −0.219688 | − | 0.975570i | \(-0.570504\pi\) | ||||
−0.219688 | + | 0.975570i | \(0.570504\pi\) | |||||||
\(230\) | −3.65731e17 | − | 1.89593e17i | −0.708276 | − | 0.367166i | ||||
\(231\) | 2.70676e15 | − | 7.36474e15i | 0.00507410 | − | 0.0138060i | ||||
\(232\) | −3.84495e15 | − | 2.80904e16i | −0.00697800 | − | 0.0509798i | ||||
\(233\) | 1.89993e17i | 0.333863i | 0.985968 | + | 0.166932i | \(0.0533859\pi\) | ||||
−0.985968 | + | 0.166932i | \(0.946614\pi\) | |||||||
\(234\) | −7.63520e17 | + | 3.12183e17i | −1.29928 | + | 0.531240i | ||||
\(235\) | − | 6.79204e16i | − | 0.111941i | ||||||
\(236\) | −3.09660e17 | − | 4.39035e17i | −0.494362 | − | 0.700905i | ||||
\(237\) | 4.28494e17 | − | 1.16588e18i | 0.662724 | − | 1.80319i | ||||
\(238\) | 2.55698e17 | − | 4.93249e17i | 0.383177 | − | 0.739162i | ||||
\(239\) | 9.61316e17 | 1.39599 | 0.697994 | − | 0.716103i | \(-0.254076\pi\) | ||||
0.697994 | + | 0.716103i | \(0.254076\pi\) | |||||||
\(240\) | 2.91792e17 | + | 2.43006e17i | 0.410666 | + | 0.342005i | ||||
\(241\) | 6.77710e17 | 0.924519 | 0.462260 | − | 0.886745i | \(-0.347039\pi\) | ||||
0.462260 | + | 0.886745i | \(0.347039\pi\) | |||||||
\(242\) | 3.47737e17 | − | 6.70795e17i | 0.459870 | − | 0.887104i | ||||
\(243\) | −1.47468e17 | + | 7.65846e17i | −0.189082 | + | 0.981961i | ||||
\(244\) | −5.78322e17 | − | 8.19943e17i | −0.719028 | − | 1.01944i | ||||
\(245\) | − | 3.20749e17i | − | 0.386740i | ||||||
\(246\) | 6.33085e17 | + | 6.92875e17i | 0.740370 | + | 0.810292i | ||||
\(247\) | 6.58307e17i | 0.746794i | ||||||||
\(248\) | 4.26735e16 | + | 3.11764e17i | 0.0469646 | + | 0.343113i | ||||
\(249\) | −1.02408e18 | − | 3.76381e17i | −1.09356 | − | 0.401913i | ||||
\(250\) | 7.84989e17 | + | 4.06934e17i | 0.813417 | + | 0.421671i | ||||
\(251\) | 1.20926e17 | 0.121609 | 0.0608045 | − | 0.998150i | \(-0.480633\pi\) | ||||
0.0608045 | + | 0.998150i | \(0.480633\pi\) | |||||||
\(252\) | 5.36372e17 | + | 4.84705e16i | 0.523555 | + | 0.0473122i | ||||
\(253\) | 4.40812e16 | 0.0417686 | ||||||||
\(254\) | −3.84397e17 | − | 1.99269e17i | −0.353612 | − | 0.183310i | ||||
\(255\) | 8.89456e17 | + | 3.26901e17i | 0.794462 | + | 0.291988i | ||||
\(256\) | −8.93249e17 | − | 7.28926e17i | −0.774770 | − | 0.632243i | ||||
\(257\) | − | 5.02418e17i | − | 0.423220i | −0.977354 | − | 0.211610i | \(-0.932129\pi\) | ||
0.977354 | − | 0.211610i | \(-0.0678707\pi\) | |||||||
\(258\) | −1.31827e18 | − | 1.44277e18i | −1.07859 | − | 1.18045i | ||||
\(259\) | 4.65512e17i | 0.369984i | ||||||||
\(260\) | −7.93927e17 | + | 5.59972e17i | −0.613028 | + | 0.432380i | ||||
\(261\) | 4.44149e16 | − | 5.22618e16i | 0.0333215 | − | 0.0392085i | ||||
\(262\) | 1.03160e18 | − | 1.99000e18i | 0.752062 | − | 1.45075i | ||||
\(263\) | −7.04783e17 | −0.499329 | −0.249665 | − | 0.968332i | \(-0.580320\pi\) | ||||
−0.249665 | + | 0.968332i | \(0.580320\pi\) | |||||||
\(264\) | −3.96875e16 | − | 8.71553e15i | −0.0273291 | − | 0.00600157i | ||||
\(265\) | 6.59037e17 | 0.441129 | ||||||||
\(266\) | 1.97809e17 | − | 3.81581e17i | 0.128717 | − | 0.248299i | ||||
\(267\) | −2.68201e17 | + | 7.29741e17i | −0.169678 | + | 0.461673i | ||||
\(268\) | −1.92053e18 | + | 1.35458e18i | −1.18143 | + | 0.833288i | ||||
\(269\) | 9.89646e17i | 0.592022i | 0.955185 | + | 0.296011i | \(0.0956565\pi\) | ||||
−0.955185 | + | 0.296011i | \(0.904344\pi\) | |||||||
\(270\) | 3.29952e16 | + | 9.17990e17i | 0.0191965 | + | 0.534084i | ||||
\(271\) | − | 1.84926e18i | − | 1.04647i | −0.852187 | − | 0.523237i | \(-0.824724\pi\) | ||
0.852187 | − | 0.523237i | \(-0.175276\pi\) | |||||||
\(272\) | −2.71031e18 | − | 9.65519e17i | −1.49194 | − | 0.531488i | ||||
\(273\) | −4.75332e17 | + | 1.29332e18i | −0.254553 | + | 0.692605i | ||||
\(274\) | 1.14417e18 | + | 5.93131e17i | 0.596157 | + | 0.309045i | ||||
\(275\) | −3.94258e16 | −0.0199887 | ||||||||
\(276\) | 7.83918e17 | + | 2.92231e18i | 0.386770 | + | 1.44181i | ||||
\(277\) | 2.54416e18 | 1.22165 | 0.610825 | − | 0.791766i | \(-0.290838\pi\) | ||||
0.610825 | + | 0.791766i | \(0.290838\pi\) | |||||||
\(278\) | 2.36411e18 | + | 1.22554e18i | 1.10492 | + | 0.572785i | ||||
\(279\) | −4.92942e17 | + | 5.80032e17i | −0.224267 | + | 0.263888i | ||||
\(280\) | 6.28453e17 | − | 8.60212e16i | 0.278348 | − | 0.0380996i | ||||
\(281\) | 2.23570e18i | 0.964089i | 0.876147 | + | 0.482044i | \(0.160106\pi\) | ||||
−0.876147 | + | 0.482044i | \(0.839894\pi\) | |||||||
\(282\) | −3.68271e17 | + | 3.36492e17i | −0.154632 | + | 0.141288i | ||||
\(283\) | − | 9.55778e17i | − | 0.390804i | −0.980723 | − | 0.195402i | \(-0.937399\pi\) | ||
0.980723 | − | 0.195402i | \(-0.0626011\pi\) | |||||||
\(284\) | 9.11517e17 | + | 1.29235e18i | 0.362975 | + | 0.514626i | ||||
\(285\) | 6.88089e17 | + | 2.52893e17i | 0.266875 | + | 0.0980843i | ||||
\(286\) | 4.78457e16 | − | 9.22959e16i | 0.0180758 | − | 0.0348688i | ||||
\(287\) | 1.56778e18 | 0.576994 | ||||||||
\(288\) | −1.27996e17 | − | 2.78603e18i | −0.0458938 | − | 0.998946i | ||||
\(289\) | −4.31760e18 | −1.50837 | ||||||||
\(290\) | 3.71774e16 | − | 7.17165e16i | 0.0126559 | − | 0.0244137i | ||||
\(291\) | −1.92678e18 | − | 7.08146e17i | −0.639196 | − | 0.234923i | ||||
\(292\) | 1.80658e18 | + | 2.56137e18i | 0.584100 | + | 0.828135i | ||||
\(293\) | − | 3.91767e18i | − | 1.23458i | −0.786734 | − | 0.617292i | \(-0.788230\pi\) | ||
0.786734 | − | 0.617292i | \(-0.211770\pi\) | |||||||
\(294\) | −1.73913e18 | + | 1.58906e18i | −0.534230 | + | 0.488130i | ||||
\(295\) | − | 1.53071e18i | − | 0.458383i | ||||||
\(296\) | 2.38842e18 | − | 3.26922e17i | 0.697307 | − | 0.0954457i | ||||
\(297\) | −4.83431e16 | − | 8.55838e16i | −0.0137613 | − | 0.0243623i | ||||
\(298\) | 2.74975e18 | + | 1.42546e18i | 0.763259 | + | 0.395669i | ||||
\(299\) | −7.74108e18 | −2.09540 | ||||||||
\(300\) | −7.01127e17 | − | 2.61368e18i | −0.185092 | − | 0.689991i | ||||
\(301\) | −3.26458e18 | −0.840580 | ||||||||
\(302\) | 5.76159e18 | + | 2.98678e18i | 1.44707 | + | 0.750155i | ||||
\(303\) | 2.71108e18 | − | 7.37650e18i | 0.664236 | − | 1.80730i | ||||
\(304\) | −2.09671e18 | − | 7.46931e17i | −0.501172 | − | 0.178537i | ||||
\(305\) | − | 2.85877e18i | − | 0.666699i | ||||||
\(306\) | −2.63407e18 | − | 6.44226e18i | −0.599399 | − | 1.46598i | ||||
\(307\) | 2.91302e18i | 0.646853i | 0.946253 | + | 0.323426i | \(0.104835\pi\) | ||||
−0.946253 | + | 0.323426i | \(0.895165\pi\) | |||||||
\(308\) | −5.54665e16 | + | 3.91216e16i | −0.0120199 | + | 0.00847786i | ||||
\(309\) | −1.74497e18 | + | 4.74784e18i | −0.369062 | + | 1.00417i | ||||
\(310\) | −4.12616e17 | + | 7.95950e17i | −0.0851792 | + | 0.164314i | ||||
\(311\) | 8.95070e18 | 1.80366 | 0.901829 | − | 0.432094i | \(-0.142225\pi\) | ||||
0.901829 | + | 0.432094i | \(0.142225\pi\) | |||||||
\(312\) | 6.96951e18 | + | 1.53053e18i | 1.37102 | + | 0.301080i | ||||
\(313\) | −2.79248e18 | −0.536300 | −0.268150 | − | 0.963377i | \(-0.586412\pi\) | ||||
−0.268150 | + | 0.963377i | \(0.586412\pi\) | |||||||
\(314\) | −9.17024e17 | + | 1.76897e18i | −0.171952 | + | 0.331702i | ||||
\(315\) | 1.16923e18 | + | 9.93673e17i | 0.214077 | + | 0.181934i | ||||
\(316\) | −8.78066e18 | + | 6.19317e18i | −1.56991 | + | 1.10729i | ||||
\(317\) | − | 5.57732e18i | − | 0.973826i | −0.873450 | − | 0.486913i | \(-0.838123\pi\) | ||
0.873450 | − | 0.486913i | \(-0.161877\pi\) | |||||||
\(318\) | −3.26501e18 | − | 3.57337e18i | −0.556777 | − | 0.609360i | ||||
\(319\) | 8.64393e15i | 0.00143973i | ||||||||
\(320\) | −8.82706e17 | − | 3.16402e18i | −0.143612 | − | 0.514772i | ||||
\(321\) | 5.04733e18 | + | 1.85504e18i | 0.802184 | + | 0.294826i | ||||
\(322\) | 4.48704e18 | + | 2.32606e18i | 0.696692 | + | 0.361161i | ||||
\(323\) | −5.55451e18 | −0.842611 | ||||||||
\(324\) | 4.81397e18 | − | 4.72682e18i | 0.713536 | − | 0.700619i | ||||
\(325\) | 6.92354e18 | 1.00277 | ||||||||
\(326\) | −9.08001e18 | − | 4.70703e18i | −1.28515 | − | 0.666215i | ||||
\(327\) | 6.28357e18 | + | 2.30940e18i | 0.869157 | + | 0.319441i | ||||
\(328\) | −1.10103e18 | − | 8.04389e18i | −0.148849 | − | 1.08746i | ||||
\(329\) | 8.33295e17i | 0.110111i | ||||||||
\(330\) | −7.80912e16 | − | 8.54663e16i | −0.0100867 | − | 0.0110393i | ||||
\(331\) | 5.40300e18i | 0.682221i | 0.940023 | + | 0.341110i | \(0.110803\pi\) | ||||
−0.940023 | + | 0.341110i | \(0.889197\pi\) | |||||||
\(332\) | 5.43995e18 | + | 7.71275e18i | 0.671521 | + | 0.952081i | ||||
\(333\) | 4.44363e18 | + | 3.77644e18i | 0.536298 | + | 0.455775i | ||||
\(334\) | 4.30949e17 | − | 8.31315e17i | 0.0508543 | − | 0.0980995i | ||||
\(335\) | −6.69599e18 | −0.772643 | ||||||||
\(336\) | −3.57991e18 | − | 2.98137e18i | −0.403950 | − | 0.336412i | ||||
\(337\) | 5.89353e18 | 0.650357 | 0.325178 | − | 0.945653i | \(-0.394576\pi\) | ||||
0.325178 | + | 0.945653i | \(0.394576\pi\) | |||||||
\(338\) | −4.13783e18 | + | 7.98201e18i | −0.446578 | + | 0.861464i | ||||
\(339\) | 1.92967e17 | − | 5.25038e17i | 0.0203697 | − | 0.0554234i | ||||
\(340\) | −4.72480e18 | − | 6.69882e18i | −0.487856 | − | 0.691682i | ||||
\(341\) | − | 9.59353e16i | − | 0.00968993i | ||||||
\(342\) | −2.03773e18 | − | 4.98377e18i | −0.201350 | − | 0.492450i | ||||
\(343\) | 9.37311e18i | 0.906104i | ||||||||
\(344\) | 2.29267e18 | + | 1.67497e19i | 0.216847 | + | 1.58424i | ||||
\(345\) | −2.97379e18 | + | 8.09130e18i | −0.275211 | + | 0.748816i | ||||
\(346\) | −3.29207e18 | − | 1.70659e18i | −0.298125 | − | 0.154546i | ||||
\(347\) | −9.15634e18 | −0.811429 | −0.405715 | − | 0.914000i | \(-0.632977\pi\) | ||||
−0.405715 | + | 0.914000i | \(0.632977\pi\) | |||||||
\(348\) | −5.73039e17 | + | 1.53719e17i | −0.0496981 | + | 0.0133316i | ||||
\(349\) | −9.99695e18 | −0.848548 | −0.424274 | − | 0.905534i | \(-0.639471\pi\) | ||||
−0.424274 | + | 0.905534i | \(0.639471\pi\) | |||||||
\(350\) | −4.01316e18 | − | 2.08040e18i | −0.333408 | − | 0.172837i | ||||
\(351\) | 8.48950e18 | + | 1.50293e19i | 0.690365 | + | 1.22218i | ||||
\(352\) | 2.39676e17 | + | 2.57110e17i | 0.0190790 | + | 0.0204668i | ||||
\(353\) | − | 1.19492e19i | − | 0.931171i | −0.885003 | − | 0.465585i | \(-0.845844\pi\) | ||
0.885003 | − | 0.465585i | \(-0.154156\pi\) | |||||||
\(354\) | −8.29969e18 | + | 7.58349e18i | −0.633195 | + | 0.578555i | ||||
\(355\) | 4.50582e18i | 0.336559i | ||||||||
\(356\) | 5.49594e18 | − | 3.87639e18i | 0.401946 | − | 0.283500i | ||||
\(357\) | −1.09125e19 | − | 4.01065e18i | −0.781469 | − | 0.287212i | ||||
\(358\) | 3.94164e17 | − | 7.60355e17i | 0.0276410 | − | 0.0533205i | ||||
\(359\) | 2.10011e19 | 1.44223 | 0.721115 | − | 0.692816i | \(-0.243630\pi\) | ||||
0.721115 | + | 0.692816i | \(0.243630\pi\) | |||||||
\(360\) | 4.27715e18 | − | 6.69685e18i | 0.287664 | − | 0.450404i | ||||
\(361\) | 1.08841e19 | 0.716951 | ||||||||
\(362\) | −2.75291e17 | + | 5.31045e17i | −0.0177614 | + | 0.0342624i | ||||
\(363\) | −1.48404e19 | − | 5.45429e18i | −0.937880 | − | 0.344698i | ||||
\(364\) | 9.74045e18 | − | 6.87013e18i | 0.603002 | − | 0.425309i | ||||
\(365\) | 8.93033e18i | 0.541590i | ||||||||
\(366\) | −1.55005e19 | + | 1.41630e19i | −0.920955 | + | 0.841484i | ||||
\(367\) | − | 1.93513e19i | − | 1.12646i | −0.826301 | − | 0.563229i | \(-0.809559\pi\) | ||
0.826301 | − | 0.563229i | \(-0.190441\pi\) | |||||||
\(368\) | 8.78323e18 | − | 2.46554e19i | 0.500951 | − | 1.40622i | ||||
\(369\) | 1.27185e19 | − | 1.49655e19i | 0.710787 | − | 0.836363i | ||||
\(370\) | 6.09779e18 | + | 3.16106e18i | 0.333933 | + | 0.173109i | ||||
\(371\) | −8.08553e18 | −0.433915 | ||||||||
\(372\) | 6.35992e18 | − | 1.70606e18i | 0.334487 | − | 0.0897270i | ||||
\(373\) | 3.61770e18 | 0.186473 | 0.0932366 | − | 0.995644i | \(-0.470279\pi\) | ||||
0.0932366 | + | 0.995644i | \(0.470279\pi\) | |||||||
\(374\) | 7.78754e17 | + | 4.03702e17i | 0.0393426 | + | 0.0203950i | ||||
\(375\) | 6.38281e18 | − | 1.73668e19i | 0.316066 | − | 0.859975i | ||||
\(376\) | 4.27542e18 | − | 5.85210e17i | 0.207525 | − | 0.0284055i | ||||
\(377\) | − | 1.51796e18i | − | 0.0722269i | ||||||
\(378\) | −4.04809e17 | − | 1.12625e19i | −0.0188826 | − | 0.525349i | ||||
\(379\) | − | 2.86795e18i | − | 0.131153i | −0.997848 | − | 0.0655764i | \(-0.979111\pi\) | ||
0.997848 | − | 0.0655764i | \(-0.0208886\pi\) | |||||||
\(380\) | −3.65514e18 | − | 5.18224e18i | −0.163880 | − | 0.232349i | ||||
\(381\) | −3.12556e18 | + | 8.50426e18i | −0.137401 | + | 0.373851i | ||||
\(382\) | 2.17676e18 | − | 4.19904e18i | 0.0938285 | − | 0.180998i | ||||
\(383\) | 3.73893e19 | 1.58036 | 0.790181 | − | 0.612873i | \(-0.209986\pi\) | ||||
0.790181 | + | 0.612873i | \(0.209986\pi\) | |||||||
\(384\) | −1.27825e19 | + | 2.04614e19i | −0.529825 | + | 0.848107i | ||||
\(385\) | −1.93386e17 | −0.00786087 | ||||||||
\(386\) | 6.48319e18 | − | 1.25063e19i | 0.258454 | − | 0.498567i | ||||
\(387\) | −2.64837e19 | + | 3.11627e19i | −1.03549 | + | 1.21843i | ||||
\(388\) | 1.02351e19 | + | 1.45112e19i | 0.392512 | + | 0.556502i | ||||
\(389\) | 1.22034e19i | 0.459050i | 0.973303 | + | 0.229525i | \(0.0737172\pi\) | ||||
−0.973303 | + | 0.229525i | \(0.926283\pi\) | |||||||
\(390\) | 1.37136e19 | + | 1.50087e19i | 0.506018 | + | 0.553807i | ||||
\(391\) | − | 6.53160e19i | − | 2.36425i | ||||||
\(392\) | 2.01904e19 | − | 2.76361e18i | 0.716967 | − | 0.0981368i | ||||
\(393\) | −4.40260e19 | − | 1.61808e19i | −1.53379 | − | 0.563712i | ||||
\(394\) | −7.08841e18 | − | 3.67459e18i | −0.242285 | − | 0.125599i | ||||
\(395\) | −3.06141e19 | −1.02670 | ||||||||
\(396\) | −7.65263e16 | + | 8.46837e17i | −0.00251824 | + | 0.0278667i | ||||
\(397\) | −3.91968e19 | −1.26567 | −0.632837 | − | 0.774285i | \(-0.718110\pi\) | ||||
−0.632837 | + | 0.774285i | \(0.718110\pi\) | |||||||
\(398\) | 3.49942e18 | + | 1.81408e18i | 0.110885 | + | 0.0574823i | ||||
\(399\) | −8.44196e18 | − | 3.10266e18i | −0.262510 | − | 0.0964802i | ||||
\(400\) | −7.85562e18 | + | 2.20515e19i | −0.239735 | + | 0.672959i | ||||
\(401\) | 3.09431e19i | 0.926789i | 0.886152 | + | 0.463394i | \(0.153369\pi\) | ||||
−0.886152 | + | 0.463394i | \(0.846631\pi\) | |||||||
\(402\) | 3.31734e19 | + | 3.63064e19i | 0.975202 | + | 1.06730i | ||||
\(403\) | 1.68472e19i | 0.486115i | ||||||||
\(404\) | −5.55551e19 | + | 3.91841e19i | −1.57349 | + | 1.10981i | ||||
\(405\) | 1.89706e19 | − | 3.09996e18i | 0.527433 | − | 0.0861873i | ||||
\(406\) | −4.56119e17 | + | 8.79868e17i | −0.0124489 | + | 0.0240144i | ||||
\(407\) | −7.34962e17 | −0.0196928 | ||||||||
\(408\) | −1.29140e19 | + | 5.88058e19i | −0.339710 | + | 1.54692i | ||||
\(409\) | 2.59858e19 | 0.671138 | 0.335569 | − | 0.942016i | \(-0.391071\pi\) | ||||
0.335569 | + | 0.942016i | \(0.391071\pi\) | |||||||
\(410\) | 1.06460e19 | − | 2.05365e19i | 0.269966 | − | 0.520772i | ||||
\(411\) | 9.30333e18 | − | 2.53132e19i | 0.231646 | − | 0.630279i | ||||
\(412\) | 3.57577e19 | − | 2.52206e19i | 0.874260 | − | 0.616632i | ||||
\(413\) | 1.87799e19i | 0.450887i | ||||||||
\(414\) | 5.86046e19 | − | 2.39619e19i | 1.38175 | − | 0.564960i | ||||
\(415\) | 2.68908e19i | 0.622649i | ||||||||
\(416\) | −4.20895e19 | − | 4.51510e19i | −0.957135 | − | 1.02676i | ||||
\(417\) | 1.92227e19 | − | 5.23027e19i | 0.429334 | − | 1.16816i | ||||
\(418\) | 6.02449e17 | + | 3.12306e17i | 0.0132159 | + | 0.00685107i | ||||
\(419\) | −5.98738e19 | −1.29012 | −0.645062 | − | 0.764130i | \(-0.723168\pi\) | ||||
−0.645062 | + | 0.764130i | \(0.723168\pi\) | |||||||
\(420\) | −3.43908e18 | − | 1.28203e19i | −0.0727902 | − | 0.271350i | ||||
\(421\) | 2.82618e19 | 0.587604 | 0.293802 | − | 0.955866i | \(-0.405079\pi\) | ||||
0.293802 | + | 0.955866i | \(0.405079\pi\) | |||||||
\(422\) | 3.27182e18 | + | 1.69610e18i | 0.0668262 | + | 0.0346423i | ||||
\(423\) | 7.95436e18 | + | 6.76005e18i | 0.159607 | + | 0.135643i | ||||
\(424\) | 5.67835e18 | + | 4.14848e19i | 0.111938 | + | 0.817796i | ||||
\(425\) | 5.84179e19i | 1.13143i | ||||||||
\(426\) | 2.44310e19 | − | 2.23228e19i | 0.464911 | − | 0.424793i | ||||
\(427\) | 3.50734e19i | 0.655795i | ||||||||
\(428\) | −2.68115e19 | − | 3.80133e19i | −0.492598 | − | 0.698405i | ||||
\(429\) | −2.04192e18 | − | 7.50466e17i | −0.0368646 | − | 0.0135488i | ||||
\(430\) | −2.21681e19 | + | 4.27631e19i | −0.393293 | + | 0.758675i | ||||
\(431\) | 7.47783e19 | 1.30376 | 0.651878 | − | 0.758324i | \(-0.273982\pi\) | ||||
0.651878 | + | 0.758324i | \(0.273982\pi\) | |||||||
\(432\) | −5.75010e19 | + | 9.98649e18i | −0.985251 | + | 0.171114i | ||||
\(433\) | −1.04109e19 | −0.175318 | −0.0876592 | − | 0.996151i | \(-0.527939\pi\) | ||||
−0.0876592 | + | 0.996151i | \(0.527939\pi\) | |||||||
\(434\) | 5.06227e18 | − | 9.76528e18i | 0.0837861 | − | 0.161626i | ||||
\(435\) | −1.58663e18 | − | 5.83132e17i | −0.0258111 | − | 0.00948632i | ||||
\(436\) | −3.33784e19 | − | 4.73238e19i | −0.533725 | − | 0.756713i | ||||
\(437\) | − | 5.05288e19i | − | 0.794198i | ||||||
\(438\) | 4.84211e19 | − | 4.42428e19i | 0.748134 | − | 0.683576i | ||||
\(439\) | 8.51076e19i | 1.29266i | 0.763058 | + | 0.646330i | \(0.223697\pi\) | ||||
−0.763058 | + | 0.646330i | \(0.776303\pi\) | |||||||
\(440\) | 1.35812e17 | + | 9.92216e17i | 0.00202789 | + | 0.0148153i | ||||
\(441\) | 3.75639e19 | + | 3.19238e19i | 0.551418 | + | 0.468625i | ||||
\(442\) | −1.36757e20 | − | 7.08938e19i | −1.97370 | − | 1.02316i | ||||
\(443\) | 9.85130e19 | 1.39787 | 0.698933 | − | 0.715187i | \(-0.253658\pi\) | ||||
0.698933 | + | 0.715187i | \(0.253658\pi\) | |||||||
\(444\) | −1.30702e19 | − | 4.87234e19i | −0.182351 | − | 0.679775i | ||||
\(445\) | 1.91618e19 | 0.262868 | ||||||||
\(446\) | 8.15768e18 | + | 4.22890e18i | 0.110041 | + | 0.0570447i | ||||
\(447\) | 2.23585e19 | − | 6.08346e19i | 0.296576 | − | 0.806946i | ||||
\(448\) | 1.08297e19 | + | 3.88184e19i | 0.141263 | + | 0.506353i | ||||
\(449\) | − | 1.19126e19i | − | 0.152812i | −0.997077 | − | 0.0764061i | \(-0.975655\pi\) | ||
0.997077 | − | 0.0764061i | \(-0.0243445\pi\) | |||||||
\(450\) | −5.24153e19 | + | 2.14312e19i | −0.661248 | + | 0.270367i | ||||
\(451\) | 2.47525e18i | 0.0307111i | ||||||||
\(452\) | −3.95425e18 | + | 2.78901e18i | −0.0482532 | + | 0.0340339i | ||||
\(453\) | 4.68480e19 | − | 1.27467e20i | 0.562282 | − | 1.52990i | ||||
\(454\) | 2.43809e19 | − | 4.70315e19i | 0.287826 | − | 0.555227i | ||||
\(455\) | 3.39605e19 | 0.394356 | ||||||||
\(456\) | −9.99032e18 | + | 4.54925e19i | −0.114115 | + | 0.519641i | ||||
\(457\) | −1.67073e20 | −1.87731 | −0.938655 | − | 0.344858i | \(-0.887927\pi\) | ||||
−0.938655 | + | 0.344858i | \(0.887927\pi\) | |||||||
\(458\) | 1.82937e19 | − | 3.52892e19i | 0.202214 | − | 0.390077i | ||||
\(459\) | −1.26811e20 | + | 7.16308e19i | −1.37899 | + | 0.778941i | ||||
\(460\) | 6.09385e19 | − | 4.29811e19i | 0.651940 | − | 0.459826i | ||||
\(461\) | − | 1.42111e18i | − | 0.0149579i | −0.999972 | − | 0.00747896i | \(-0.997619\pi\) | ||
0.999972 | − | 0.00747896i | \(-0.00238065\pi\) | |||||||
\(462\) | 9.58078e17 | + | 1.04856e18i | 0.00992170 | + | 0.0108587i | ||||
\(463\) | 1.48475e19i | 0.151285i | 0.997135 | + | 0.0756427i | \(0.0241008\pi\) | ||||
−0.997135 | + | 0.0756427i | \(0.975899\pi\) | |||||||
\(464\) | 4.83470e18 | + | 1.72231e18i | 0.0484713 | + | 0.0172674i | ||||
\(465\) | 1.76093e19 | + | 6.47194e18i | 0.173718 | + | 0.0638465i | ||||
\(466\) | −3.05336e19 | − | 1.58285e19i | −0.296404 | − | 0.153654i | ||||
\(467\) | −5.88375e19 | −0.562053 | −0.281027 | − | 0.959700i | \(-0.590675\pi\) | ||||
−0.281027 | + | 0.959700i | \(0.590675\pi\) | |||||||
\(468\) | 1.34388e19 | − | 1.48713e20i | 0.126332 | − | 1.39799i | ||||
\(469\) | 8.21511e19 | 0.760007 | ||||||||
\(470\) | 1.09154e19 | + | 5.65848e18i | 0.0993816 | + | 0.0515189i | ||||
\(471\) | 3.91361e19 | + | 1.43836e19i | 0.350688 | + | 0.128888i | ||||
\(472\) | 9.63548e19 | − | 1.31888e19i | 0.849783 | − | 0.116316i | ||||
\(473\) | − | 5.15420e18i | − | 0.0447407i | ||||||
\(474\) | 1.51669e20 | + | 1.65993e20i | 1.29586 | + | 1.41825i | ||||
\(475\) | 4.51924e19i | 0.380070i | ||||||||
\(476\) | 5.79672e19 | + | 8.21858e19i | 0.479877 | + | 0.680369i | ||||
\(477\) | −6.55934e19 | + | 7.71819e19i | −0.534530 | + | 0.628966i | ||||
\(478\) | −8.00878e19 | + | 1.54492e20i | −0.642476 | + | 1.23936i | ||||
\(479\) | −6.44754e18 | −0.0509188 | −0.0254594 | − | 0.999676i | \(-0.508105\pi\) | ||||
−0.0254594 | + | 0.999676i | \(0.508105\pi\) | |||||||
\(480\) | −6.33626e19 | + | 2.66486e19i | −0.492633 | + | 0.207188i | ||||
\(481\) | 1.29066e20 | 0.987926 | ||||||||
\(482\) | −5.64604e19 | + | 1.08914e20i | −0.425492 | + | 0.820788i | ||||
\(483\) | 3.64845e19 | − | 9.92697e19i | 0.270710 | − | 0.736569i | ||||
\(484\) | 7.88326e19 | + | 1.11769e20i | 0.575925 | + | 0.816545i | ||||
\(485\) | 5.05941e19i | 0.363946i | ||||||||
\(486\) | −1.10793e20 | − | 8.75025e19i | −0.784763 | − | 0.619795i | ||||
\(487\) | − | 9.60597e19i | − | 0.669999i | −0.942218 | − | 0.334999i | \(-0.891264\pi\) | ||
0.942218 | − | 0.334999i | \(-0.108736\pi\) | |||||||
\(488\) | 1.79953e20 | − | 2.46315e19i | 1.23597 | − | 0.169177i | ||||
\(489\) | −7.38303e19 | + | 2.00883e20i | −0.499365 | + | 1.35871i | ||||
\(490\) | 5.15472e19 | + | 2.67218e19i | 0.343348 | + | 0.177990i | ||||
\(491\) | −1.80118e20 | −1.18153 | −0.590766 | − | 0.806843i | \(-0.701174\pi\) | ||||
−0.590766 | + | 0.806843i | \(0.701174\pi\) | |||||||
\(492\) | −1.64094e20 | + | 4.40186e19i | −1.06012 | + | 0.284379i | ||||
\(493\) | 1.28079e19 | 0.0814939 | ||||||||
\(494\) | −1.05796e20 | − | 5.48439e19i | −0.663004 | − | 0.343697i | ||||
\(495\) | −1.56883e18 | + | 1.84600e18i | −0.00968363 | + | 0.0113945i | ||||
\(496\) | −5.36583e19 | − | 1.91152e19i | −0.326231 | − | 0.116216i | ||||
\(497\) | − | 5.52806e19i | − | 0.331055i | ||||||
\(498\) | 1.45805e20 | − | 1.33223e20i | 0.860106 | − | 0.785885i | ||||
\(499\) | − | 3.33716e20i | − | 1.93920i | −0.244698 | − | 0.969599i | \(-0.578689\pi\) | ||
0.244698 | − | 0.969599i | \(-0.421311\pi\) | |||||||
\(500\) | −1.30796e20 | + | 9.22528e19i | −0.748719 | + | 0.528086i | ||||
\(501\) | −1.83917e19 | − | 6.75949e18i | −0.103714 | − | 0.0381181i | ||||
\(502\) | −1.00744e19 | + | 1.94338e19i | −0.0559682 | + | 0.107964i | ||||
\(503\) | −1.39726e20 | −0.764748 | −0.382374 | − | 0.924008i | \(-0.624893\pi\) | ||||
−0.382374 | + | 0.924008i | \(0.624893\pi\) | |||||||
\(504\) | −5.24751e19 | + | 8.21617e19i | −0.282960 | + | 0.443037i | ||||
\(505\) | −1.93695e20 | −1.02904 | ||||||||
\(506\) | −3.67243e18 | + | 7.08425e18i | −0.0192232 | + | 0.0370821i | ||||
\(507\) | 1.76591e20 | + | 6.49024e19i | 0.910771 | + | 0.334735i | ||||
\(508\) | 6.40486e19 | − | 4.51747e19i | 0.325486 | − | 0.229571i | ||||
\(509\) | 4.77462e19i | 0.239087i | 0.992829 | + | 0.119543i | \(0.0381431\pi\) | ||||
−0.992829 | + | 0.119543i | \(0.961857\pi\) | |||||||
\(510\) | −1.26637e20 | + | 1.15709e20i | −0.624862 | + | 0.570941i | ||||
\(511\) | − | 1.09564e20i | − | 0.532733i | ||||||
\(512\) | 1.91562e20 | − | 8.28258e19i | 0.917878 | − | 0.396864i | ||||
\(513\) | −9.81019e19 | + | 5.54140e19i | −0.463230 | + | 0.261661i | ||||
\(514\) | 8.07430e19 | + | 4.18567e19i | 0.375735 | + | 0.194779i | ||||
\(515\) | 1.24671e20 | 0.571755 | ||||||||
\(516\) | 3.41692e20 | − | 9.16596e19i | 1.54441 | − | 0.414291i | ||||
\(517\) | −1.31563e18 | −0.00586075 | ||||||||
\(518\) | −7.48119e19 | − | 3.87821e19i | −0.328472 | − | 0.170278i | ||||
\(519\) | −2.67681e19 | + | 7.28327e19i | −0.115841 | + | 0.315189i | ||||
\(520\) | −2.38499e19 | − | 1.74243e20i | −0.101733 | − | 0.743240i | ||||
\(521\) | − | 3.52630e20i | − | 1.48264i | −0.671151 | − | 0.741321i | \(-0.734200\pi\) | ||
0.671151 | − | 0.741321i | \(-0.265800\pi\) | |||||||
\(522\) | 4.69870e18 | + | 1.14918e19i | 0.0194737 | + | 0.0476278i | ||||
\(523\) | 1.26595e20i | 0.517194i | 0.965985 | + | 0.258597i | \(0.0832602\pi\) | ||||
−0.965985 | + | 0.258597i | \(0.916740\pi\) | |||||||
\(524\) | 2.33867e20 | + | 3.31576e20i | 0.941855 | + | 1.33536i | ||||
\(525\) | −3.26313e19 | + | 8.87857e19i | −0.129551 | + | 0.352491i | ||||
\(526\) | 5.87159e19 | − | 1.13265e20i | 0.229807 | − | 0.443304i | ||||
\(527\) | −1.42149e20 | −0.548485 | ||||||||
\(528\) | 4.70706e18 | − | 5.65204e18i | 0.0179059 | − | 0.0215006i | ||||
\(529\) | 3.27538e20 | 1.22841 | ||||||||
\(530\) | −5.49048e19 | + | 1.05913e20i | −0.203021 | + | 0.391634i | ||||
\(531\) | 1.79267e20 | + | 1.52351e20i | 0.653568 | + | 0.555437i | ||||
\(532\) | 4.48438e19 | + | 6.35794e19i | 0.161200 | + | 0.228549i | ||||
\(533\) | − | 4.34678e20i | − | 1.54068i | ||||||
\(534\) | −9.49319e19 | − | 1.03897e20i | −0.331782 | − | 0.363116i | ||||
\(535\) | − | 1.32535e20i | − | 0.456748i | ||||||
\(536\) | −5.76935e19 | − | 4.21497e20i | −0.196061 | − | 1.43238i | ||||
\(537\) | −1.68218e19 | − | 6.18251e18i | −0.0563724 | − | 0.0207185i | ||||
\(538\) | −1.59045e20 | − | 8.24480e19i | −0.525597 | − | 0.272466i | ||||
\(539\) | −6.21294e18 | −0.0202480 | ||||||||
\(540\) | −1.50278e20 | − | 7.11756e19i | −0.482994 | − | 0.228759i | ||||
\(541\) | −4.04642e20 | −1.28260 | −0.641300 | − | 0.767290i | \(-0.721605\pi\) | ||||
−0.641300 | + | 0.767290i | \(0.721605\pi\) | |||||||
\(542\) | 2.97193e20 | + | 1.54063e20i | 0.929060 | + | 0.481619i | ||||
\(543\) | 1.17487e19 | + | 4.31797e18i | 0.0362234 | + | 0.0133132i | ||||
\(544\) | 3.80965e20 | − | 3.55133e20i | 1.15849 | − | 1.07994i | ||||
\(545\) | − | 1.64997e20i | − | 0.494881i | ||||||
\(546\) | −1.68248e20 | − | 1.84137e20i | −0.497742 | − | 0.544750i | ||||
\(547\) | 1.99918e20i | 0.583374i | 0.956514 | + | 0.291687i | \(0.0942166\pi\) | ||||
−0.956514 | + | 0.291687i | \(0.905783\pi\) | |||||||
\(548\) | −1.90643e20 | + | 1.34464e20i | −0.548739 | + | 0.387036i | ||||
\(549\) | 3.34799e20 | + | 2.84530e20i | 0.950587 | + | 0.807860i | ||||
\(550\) | 3.28458e18 | − | 6.33607e18i | 0.00919941 | − | 0.0177460i | ||||
\(551\) | 9.90825e18 | 0.0273754 | ||||||||
\(552\) | −5.34950e20 | − | 1.17477e20i | −1.45804 | − | 0.320192i | ||||
\(553\) | 3.75596e20 | 1.00991 | ||||||||
\(554\) | −2.11956e20 | + | 4.08870e20i | −0.562240 | + | 1.08458i | ||||
\(555\) | 4.95816e19 | − | 1.34905e20i | 0.129755 | − | 0.353046i | ||||
\(556\) | −3.93910e20 | + | 2.77833e20i | −1.01704 | + | 0.717335i | ||||
\(557\) | 5.14003e20i | 1.30934i | 0.755916 | + | 0.654669i | \(0.227192\pi\) | ||||
−0.755916 | + | 0.654669i | \(0.772808\pi\) | |||||||
\(558\) | −5.21489e19 | − | 1.27543e20i | −0.131066 | − | 0.320553i | ||||
\(559\) | 9.05127e20i | 2.24451i | ||||||||
\(560\) | −3.85324e19 | + | 1.08164e20i | −0.0942792 | + | 0.264651i | ||||
\(561\) | 6.33211e18 | − | 1.72289e19i | 0.0152872 | − | 0.0415945i | ||||
\(562\) | −3.59298e20 | − | 1.86258e20i | −0.855917 | − | 0.443703i | ||||
\(563\) | 5.09594e20 | 1.19787 | 0.598937 | − | 0.800796i | \(-0.295590\pi\) | ||||
0.598937 | + | 0.800796i | \(0.295590\pi\) | |||||||
\(564\) | −2.33964e19 | − | 8.72178e19i | −0.0542695 | − | 0.202307i | ||||
\(565\) | −1.37867e19 | −0.0315570 | ||||||||
\(566\) | 1.53602e20 | + | 7.96264e19i | 0.346955 | + | 0.179860i | ||||
\(567\) | −2.32744e20 | + | 3.80325e19i | −0.518807 | + | 0.0847778i | ||||
\(568\) | −2.83631e20 | + | 3.88227e19i | −0.623937 | + | 0.0854031i | ||||
\(569\) | 7.13752e20i | 1.54955i | 0.632237 | + | 0.774775i | \(0.282137\pi\) | ||||
−0.632237 | + | 0.774775i | \(0.717863\pi\) | |||||||
\(570\) | −9.79672e19 | + | 8.95133e19i | −0.209903 | + | 0.191790i | ||||
\(571\) | − | 1.62706e20i | − | 0.344060i | −0.985092 | − | 0.172030i | \(-0.944967\pi\) | ||
0.985092 | − | 0.172030i | \(-0.0550326\pi\) | |||||||
\(572\) | 1.08467e19 | + | 1.53785e19i | 0.0226375 | + | 0.0320954i | ||||
\(573\) | −9.28980e19 | − | 3.41427e19i | −0.191358 | − | 0.0703297i | ||||
\(574\) | −1.30613e20 | + | 2.51957e20i | −0.265550 | + | 0.512255i | ||||
\(575\) | −5.31422e20 | −1.06643 | ||||||||
\(576\) | 4.58403e20 | + | 2.11536e20i | 0.907986 | + | 0.419001i | ||||
\(577\) | 3.74576e20 | 0.732354 | 0.366177 | − | 0.930545i | \(-0.380666\pi\) | ||||
0.366177 | + | 0.930545i | \(0.380666\pi\) | |||||||
\(578\) | 3.59702e20 | − | 6.93877e20i | 0.694199 | − | 1.33913i | ||||
\(579\) | −2.76685e20 | − | 1.01690e20i | −0.527104 | − | 0.193726i | ||||
\(580\) | 8.42820e18 | + | 1.19495e19i | 0.0158498 | + | 0.0224719i | ||||
\(581\) | − | 3.29916e20i | − | 0.612466i | ||||||
\(582\) | 2.74326e20 | − | 2.50654e20i | 0.502742 | − | 0.459359i | ||||
\(583\) | − | 1.27656e19i | − | 0.0230955i | ||||||
\(584\) | −5.62143e20 | + | 7.69448e19i | −1.00404 | + | 0.137430i | ||||
\(585\) | 2.75502e20 | − | 3.24176e20i | 0.485798 | − | 0.571626i | ||||
\(586\) | 6.29605e20 | + | 3.26384e20i | 1.09606 | + | 0.568193i | ||||
\(587\) | 6.77352e20 | 1.16420 | 0.582101 | − | 0.813116i | \(-0.302231\pi\) | ||||
0.582101 | + | 0.813116i | \(0.302231\pi\) | |||||||
\(588\) | −1.10488e20 | − | 4.11880e20i | −0.187493 | − | 0.698941i | ||||
\(589\) | −1.09967e20 | −0.184247 | ||||||||
\(590\) | 2.45999e20 | + | 1.27525e20i | 0.406953 | + | 0.210962i | ||||
\(591\) | −5.76364e19 | + | 1.56821e20i | −0.0941436 | + | 0.256153i | ||||
\(592\) | −1.46442e20 | + | 4.11077e20i | −0.236185 | + | 0.662995i | ||||
\(593\) | − | 9.95393e20i | − | 1.58520i | −0.609741 | − | 0.792601i | \(-0.708727\pi\) | ||
0.609741 | − | 0.792601i | \(-0.291273\pi\) | |||||||
\(594\) | 1.77816e19 | − | 6.39122e17i | 0.0279622 | − | 0.00100504i | ||||
\(595\) | 2.86544e20i | 0.444953i | ||||||||
\(596\) | −4.58167e20 | + | 3.23154e20i | −0.702550 | + | 0.495522i | ||||
\(597\) | 2.84541e19 | − | 7.74200e19i | 0.0430861 | − | 0.117232i | ||||
\(598\) | 6.44914e20 | − | 1.24406e21i | 0.964369 | − | 1.86030i | ||||
\(599\) | −5.98207e20 | −0.883385 | −0.441693 | − | 0.897166i | \(-0.645622\pi\) | ||||
−0.441693 | + | 0.897166i | \(0.645622\pi\) | |||||||
\(600\) | 4.78454e20 | + | 1.05070e20i | 0.697759 | + | 0.153230i | ||||
\(601\) | −1.11087e21 | −1.59995 | −0.799974 | − | 0.600034i | \(-0.795154\pi\) | ||||
−0.799974 | + | 0.600034i | \(0.795154\pi\) | |||||||
\(602\) | 2.71974e20 | − | 5.24648e20i | 0.386860 | − | 0.746266i | ||||
\(603\) | 6.66446e20 | − | 7.84188e20i | 0.936235 | − | 1.10164i | ||||
\(604\) | −9.60004e20 | + | 6.77109e20i | −1.33197 | + | 0.939467i | ||||
\(605\) | 3.89686e20i | 0.534010i | ||||||||
\(606\) | 9.59608e20 | + | 1.05024e21i | 1.29882 | + | 1.42148i | ||||
\(607\) | − | 9.75911e20i | − | 1.30465i | −0.757938 | − | 0.652326i | \(-0.773793\pi\) | ||
0.757938 | − | 0.652326i | \(-0.226207\pi\) | |||||||
\(608\) | 2.94717e20 | − | 2.74733e20i | 0.389160 | − | 0.362772i | ||||
\(609\) | 1.94659e19 | + | 7.15428e18i | 0.0253889 | + | 0.00933117i | ||||
\(610\) | 4.59429e20 | + | 2.38166e20i | 0.591895 | + | 0.306835i | ||||
\(611\) | 2.31036e20 | 0.294016 | ||||||||
\(612\) | 1.25477e21 | + | 1.13391e20i | 1.57736 | + | 0.142541i | ||||
\(613\) | −7.27082e20 | −0.902880 | −0.451440 | − | 0.892301i | \(-0.649090\pi\) | ||||
−0.451440 | + | 0.892301i | \(0.649090\pi\) | |||||||
\(614\) | −4.68148e20 | − | 2.42685e20i | −0.574276 | − | 0.297701i | ||||
\(615\) | −4.54343e20 | − | 1.66984e20i | −0.550580 | − | 0.202354i | ||||
\(616\) | −1.66624e18 | − | 1.21732e19i | −0.00199472 | − | 0.0145730i | ||||
\(617\) | 7.45427e20i | 0.881590i | 0.897608 | + | 0.440795i | \(0.145303\pi\) | ||||
−0.897608 | + | 0.440795i | \(0.854697\pi\) | |||||||
\(618\) | −6.17646e20 | − | 6.75978e20i | −0.721649 | − | 0.789803i | ||||
\(619\) | − | 4.21764e20i | − | 0.486844i | −0.969921 | − | 0.243422i | \(-0.921730\pi\) | ||
0.969921 | − | 0.243422i | \(-0.0782699\pi\) | |||||||
\(620\) | −9.35410e19 | − | 1.32622e20i | −0.106675 | − | 0.151244i | ||||
\(621\) | −6.51619e20 | − | 1.15359e21i | −0.734187 | − | 1.29976i | ||||
\(622\) | −7.45688e20 | + | 1.43846e21i | −0.830098 | + | 1.60129i | ||||
\(623\) | −2.35091e20 | −0.258568 | ||||||||
\(624\) | −8.26604e20 | + | 9.92553e20i | −0.898283 | + | 1.07862i | ||||
\(625\) | 2.09299e20 | 0.224733 | ||||||||
\(626\) | 2.32643e20 | − | 4.48776e20i | 0.246821 | − | 0.476126i | ||||
\(627\) | 4.89856e18 | − | 1.33284e19i | 0.00513525 | − | 0.0139724i | ||||
\(628\) | −2.07891e20 | − | 2.94748e20i | −0.215347 | − | 0.305319i | ||||
\(629\) | 1.08901e21i | 1.11468i | ||||||||
\(630\) | −2.57101e20 | + | 1.05122e20i | −0.260046 | + | 0.106326i | ||||
\(631\) | 4.96826e20i | 0.496574i | 0.968687 | + | 0.248287i | \(0.0798676\pi\) | ||||
−0.968687 | + | 0.248287i | \(0.920132\pi\) | |||||||
\(632\) | −2.63775e20 | − | 1.92709e21i | −0.260529 | − | 1.90337i | ||||
\(633\) | 2.66035e19 | − | 7.23847e19i | 0.0259663 | − | 0.0706511i | ||||
\(634\) | 8.96325e20 | + | 4.64650e20i | 0.864562 | + | 0.448184i | ||||
\(635\) | 2.23308e20 | 0.212864 | ||||||||
\(636\) | 8.46282e20 | − | 2.27017e20i | 0.797236 | − | 0.213860i | ||||
\(637\) | 1.09105e21 | 1.01578 | ||||||||
\(638\) | −1.38916e18 | − | 7.20131e17i | −0.00127819 | − | 0.000662608i | ||||
\(639\) | −5.27691e20 | − | 4.48460e20i | −0.479869 | − | 0.407819i | ||||
\(640\) | 5.82025e20 | + | 1.21738e20i | 0.523109 | + | 0.109415i | ||||
\(641\) | 9.69439e20i | 0.861163i | 0.902552 | + | 0.430582i | \(0.141692\pi\) | ||||
−0.902552 | + | 0.430582i | \(0.858308\pi\) | |||||||
\(642\) | −7.18618e20 | + | 6.56607e20i | −0.630936 | + | 0.576491i | ||||
\(643\) | − | 1.39592e21i | − | 1.21138i | −0.795702 | − | 0.605688i | \(-0.792898\pi\) | ||
0.795702 | − | 0.605688i | \(-0.207102\pi\) | |||||||
\(644\) | −7.47636e20 | + | 5.27322e20i | −0.641278 | + | 0.452306i | ||||
\(645\) | 9.46075e20 | + | 3.47710e20i | 0.802099 | + | 0.294795i | ||||
\(646\) | 4.62750e20 | − | 8.92659e20i | 0.387795 | − | 0.748069i | ||||
\(647\) | 1.63196e20 | 0.135184 | 0.0675922 | − | 0.997713i | \(-0.478468\pi\) | ||||
0.0675922 | + | 0.997713i | \(0.478468\pi\) | |||||||
\(648\) | 3.58588e20 | + | 1.16744e21i | 0.293618 | + | 0.955923i | ||||
\(649\) | −2.96501e19 | −0.0239989 | ||||||||
\(650\) | −5.76804e20 | + | 1.11267e21i | −0.461507 | + | 0.890262i | ||||
\(651\) | −2.16044e20 | − | 7.94023e19i | −0.170877 | − | 0.0628023i | ||||
\(652\) | 1.51292e21 | − | 1.06709e21i | 1.18293 | − | 0.834344i | ||||
\(653\) | 8.17163e19i | 0.0631626i | 0.999501 | + | 0.0315813i | \(0.0100543\pi\) | ||||
−0.999501 | + | 0.0315813i | \(0.989946\pi\) | |||||||
\(654\) | −8.94628e20 | + | 8.17429e20i | −0.683612 | + | 0.624621i | ||||
\(655\) | 1.15605e21i | 0.873309i | ||||||||
\(656\) | 1.38445e21 | + | 4.93196e20i | 1.03395 | + | 0.368333i | ||||
\(657\) | −1.04586e21 | − | 8.88827e20i | −0.772205 | − | 0.656262i | ||||
\(658\) | −1.33918e20 | − | 6.94223e19i | −0.0977562 | − | 0.0506763i | ||||
\(659\) | 2.12020e20 | 0.153016 | 0.0765079 | − | 0.997069i | \(-0.475623\pi\) | ||||
0.0765079 | + | 0.997069i | \(0.475623\pi\) | |||||||
\(660\) | 2.02410e19 | − | 5.42970e18i | 0.0144428 | − | 0.00387433i | ||||
\(661\) | 1.33600e21 | 0.942528 | 0.471264 | − | 0.881992i | \(-0.343798\pi\) | ||||
0.471264 | + | 0.881992i | \(0.343798\pi\) | |||||||
\(662\) | −8.68310e20 | − | 4.50127e20i | −0.605675 | − | 0.313979i | ||||
\(663\) | −1.11198e21 | + | 3.02555e21i | −0.766911 | + | 2.08667i | ||||
\(664\) | −1.69271e21 | + | 2.31695e20i | −1.15431 | + | 0.157999i | ||||
\(665\) | 2.21672e20i | 0.149468i | ||||||||
\(666\) | −9.77108e20 | + | 3.99513e20i | −0.651457 | + | 0.266363i | ||||
\(667\) | 1.16512e20i | 0.0768116i | ||||||||
\(668\) | 9.76970e19 | + | 1.38515e20i | 0.0636881 | + | 0.0902968i | ||||
\(669\) | 6.63308e19 | − | 1.80478e20i | 0.0427582 | − | 0.116340i | ||||
\(670\) | 5.57847e20 | − | 1.07611e21i | 0.355594 | − | 0.685952i | ||||
\(671\) | −5.53747e19 | −0.0349054 | ||||||||
\(672\) | 7.77377e20 | − | 3.26943e20i | 0.484576 | − | 0.203799i | ||||
\(673\) | −6.15680e20 | −0.379526 | −0.189763 | − | 0.981830i | \(-0.560772\pi\) | ||||
−0.189763 | + | 0.981830i | \(0.560772\pi\) | |||||||
\(674\) | −4.90994e20 | + | 9.47143e20i | −0.299314 | + | 0.577386i | ||||
\(675\) | 5.82800e20 | + | 1.03176e21i | 0.351351 | + | 0.622012i | ||||
\(676\) | −9.38055e20 | − | 1.32997e21i | −0.559278 | − | 0.792944i | ||||
\(677\) | − | 1.84323e21i | − | 1.08684i | −0.839462 | − | 0.543418i | \(-0.817130\pi\) | ||
0.839462 | − | 0.543418i | \(-0.182870\pi\) | |||||||
\(678\) | 6.83022e19 | + | 7.47528e19i | 0.0398301 | + | 0.0435918i | ||||
\(679\) | − | 6.20724e20i | − | 0.357993i | ||||||
\(680\) | 1.47019e21 | − | 2.01236e20i | 0.838601 | − | 0.114786i | ||||
\(681\) | −1.04051e21 | − | 3.82417e20i | −0.587006 | − | 0.215742i | ||||
\(682\) | 1.54177e19 | + | 7.99243e18i | 0.00860272 | + | 0.00445960i | ||||
\(683\) | 3.10090e21 | 1.71133 | 0.855663 | − | 0.517534i | \(-0.173150\pi\) | ||||
0.855663 | + | 0.517534i | \(0.173150\pi\) | |||||||
\(684\) | 9.70701e20 | + | 8.77196e19i | 0.529864 | + | 0.0478824i | ||||
\(685\) | −6.64684e20 | −0.358869 | ||||||||
\(686\) | −1.50634e21 | − | 7.80879e20i | −0.804438 | − | 0.417016i | ||||
\(687\) | −7.80726e20 | − | 2.86939e20i | −0.412404 | − | 0.151570i | ||||
\(688\) | −2.88284e21 | − | 1.02698e21i | −1.50628 | − | 0.536597i | ||||
\(689\) | 2.24177e21i | 1.15863i | ||||||||
\(690\) | −1.05260e21 | − | 1.15200e21i | −0.538137 | − | 0.588960i | ||||
\(691\) | 8.03769e20i | 0.406486i | 0.979128 | + | 0.203243i | \(0.0651482\pi\) | ||||
−0.979128 | + | 0.203243i | \(0.934852\pi\) | |||||||
\(692\) | 5.48529e20 | − | 3.86888e20i | 0.274413 | − | 0.193548i | ||||
\(693\) | 1.92476e19 | − | 2.26481e19i | 0.00952525 | − | 0.0112081i | ||||
\(694\) | 7.62820e20 | − | 1.47150e21i | 0.373444 | − | 0.720386i | ||||
\(695\) | −1.37338e21 | −0.665129 | ||||||||
\(696\) | 2.30362e19 | − | 1.04899e20i | 0.0110368 | − | 0.0502576i | ||||
\(697\) | 3.66763e21 | 1.73836 | ||||||||
\(698\) | 8.32851e20 | − | 1.60660e21i | 0.390528 | − | 0.753341i | ||||
\(699\) | −2.48271e20 | + | 6.75515e20i | −0.115172 | + | 0.313369i | ||||
\(700\) | 6.68677e20 | − | 4.71631e20i | 0.306889 | − | 0.216455i | ||||
\(701\) | − | 2.69397e21i | − | 1.22323i | −0.791156 | − | 0.611614i | \(-0.790521\pi\) | ||
0.791156 | − | 0.611614i | \(-0.209479\pi\) | |||||||
\(702\) | −3.12261e21 | + | 1.12236e20i | −1.40278 | + | 0.0504200i | ||||
\(703\) | 8.42462e20i | 0.374443i | ||||||||
\(704\) | −6.12875e19 | + | 1.70981e19i | −0.0269511 | + | 0.00751889i | ||||
\(705\) | 8.87541e19 | − | 2.41489e20i | 0.0386162 | − | 0.105070i | ||||
\(706\) | 1.92035e21 | + | 9.95497e20i | 0.826693 | + | 0.428553i | ||||
\(707\) | 2.37639e21 | 1.01221 | ||||||||
\(708\) | −5.27282e20 | − | 1.96562e21i | −0.222225 | − | 0.828418i | ||||
\(709\) | −8.29783e20 | −0.346033 | −0.173017 | − | 0.984919i | \(-0.555351\pi\) | ||||
−0.173017 | + | 0.984919i | \(0.555351\pi\) | |||||||
\(710\) | −7.24125e20 | − | 3.75383e20i | −0.298797 | − | 0.154895i | ||||
\(711\) | 3.04700e21 | − | 3.58531e21i | 1.24408 | − | 1.46388i | ||||
\(712\) | 1.65101e20 | + | 1.20619e21i | 0.0667036 | + | 0.487322i | ||||
\(713\) | − | 1.29312e21i | − | 0.516971i | ||||||
\(714\) | 1.55367e21 | − | 1.41960e21i | 0.614643 | − | 0.561604i | ||||
\(715\) | 5.36176e19i | 0.0209900i | ||||||||
\(716\) | 8.93578e19 | + | 1.26691e20i | 0.0346166 | + | 0.0490794i | ||||
\(717\) | 3.41793e21 | + | 1.25619e21i | 1.31030 | + | 0.481572i | ||||
\(718\) | −1.74962e21 | + | 3.37507e21i | −0.663758 | + | 1.28041i | ||||
\(719\) | −1.67240e21 | −0.627875 | −0.313937 | − | 0.949444i | \(-0.601648\pi\) | ||||
−0.313937 | + | 0.949444i | \(0.601648\pi\) | |||||||
\(720\) | 7.19911e20 | + | 1.24530e21i | 0.267476 | + | 0.462678i | ||||
\(721\) | −1.52955e21 | −0.562404 | ||||||||
\(722\) | −9.06763e20 | + | 1.74918e21i | −0.329963 | + | 0.636509i | ||||
\(723\) | 2.40957e21 | + | 8.85589e20i | 0.867767 | + | 0.318930i | ||||
\(724\) | −6.24091e19 | − | 8.84834e19i | −0.0222438 | − | 0.0315372i | ||||
\(725\) | − | 1.04207e20i | − | 0.0367588i | ||||||
\(726\) | 2.11292e21 | − | 1.93059e21i | 0.737663 | − | 0.674009i | ||||
\(727\) | 1.30312e21i | 0.450273i | 0.974327 | + | 0.225136i | \(0.0722828\pi\) | ||||
−0.974327 | + | 0.225136i | \(0.927717\pi\) | |||||||
\(728\) | 2.92608e20 | + | 2.13773e21i | 0.100069 | + | 0.731085i | ||||
\(729\) | −1.52508e21 | + | 2.53024e21i | −0.516221 | + | 0.856456i | ||||
\(730\) | −1.43518e21 | − | 7.43991e20i | −0.480824 | − | 0.249256i | ||||
\(731\) | −7.63708e21 | −2.53248 | ||||||||
\(732\) | −9.84754e20 | − | 3.67100e21i | −0.323217 | − | 1.20490i | ||||
\(733\) | −2.27379e21 | −0.738703 | −0.369351 | − | 0.929290i | \(-0.620420\pi\) | ||||
−0.369351 | + | 0.929290i | \(0.620420\pi\) | |||||||
\(734\) | 3.10993e21 | + | 1.61217e21i | 1.00007 | + | 0.518430i | ||||
\(735\) | 4.19135e20 | − | 1.14041e21i | 0.133413 | − | 0.363000i | ||||
\(736\) | 3.23061e21 | + | 3.46560e21i | 1.01789 | + | 1.09193i | ||||
\(737\) | 1.29702e20i | 0.0404521i | ||||||||
\(738\) | 1.34551e21 | + | 3.29077e21i | 0.415397 | + | 1.01596i | ||||
\(739\) | − | 9.31882e20i | − | 0.284792i | −0.989810 | − | 0.142396i | \(-0.954519\pi\) | ||
0.989810 | − | 0.142396i | \(-0.0454806\pi\) | |||||||
\(740\) | −1.01602e21 | + | 7.16619e20i | −0.307372 | + | 0.216796i | ||||
\(741\) | −8.60234e20 | + | 2.34059e21i | −0.257620 | + | 0.700952i | ||||
\(742\) | 6.73610e20 | − | 1.29942e21i | 0.199701 | − | 0.385229i | ||||
\(743\) | −5.95158e20 | −0.174669 | −0.0873345 | − | 0.996179i | \(-0.527835\pi\) | ||||
−0.0873345 | + | 0.996179i | \(0.527835\pi\) | |||||||
\(744\) | −2.55669e20 | + | 1.16423e21i | −0.0742815 | + | 0.338253i | ||||
\(745\) | −1.59742e21 | −0.459459 | ||||||||
\(746\) | −3.01393e20 | + | 5.81397e20i | −0.0858206 | + | 0.165551i | ||||
\(747\) | −3.14927e21 | − | 2.67642e21i | −0.887780 | − | 0.754483i | ||||
\(748\) | −1.29757e20 | + | 9.15200e19i | −0.0362133 | + | 0.0255420i | ||||
\(749\) | 1.62603e21i | 0.449278i | ||||||||
\(750\) | 2.25925e21 | + | 2.47261e21i | 0.618022 | + | 0.676389i | ||||
\(751\) | − | 4.22819e21i | − | 1.14513i | −0.819859 | − | 0.572566i | \(-0.805948\pi\) | ||
0.819859 | − | 0.572566i | \(-0.194052\pi\) | |||||||
\(752\) | −2.62140e20 | + | 7.35853e20i | −0.0702909 | + | 0.197314i | ||||
\(753\) | 4.29947e20 | + | 1.58018e20i | 0.114144 | + | 0.0419512i | ||||
\(754\) | 2.43949e20 | + | 1.26462e20i | 0.0641230 | + | 0.0332410i | ||||
\(755\) | −3.34709e21 | −0.871095 | ||||||||
\(756\) | 1.84372e21 | + | 8.73233e20i | 0.475095 | + | 0.225018i | ||||
\(757\) | −5.12629e21 | −1.30793 | −0.653964 | − | 0.756525i | \(-0.726895\pi\) | ||||
−0.653964 | + | 0.756525i | \(0.726895\pi\) | |||||||
\(758\) | 4.60905e20 | + | 2.38930e20i | 0.116437 | + | 0.0603605i | ||||
\(759\) | 1.56729e20 | + | 5.76026e19i | 0.0392046 | + | 0.0144088i | ||||
\(760\) | 1.13734e21 | − | 1.55677e20i | 0.281702 | − | 0.0385587i | ||||
\(761\) | − | 5.73318e21i | − | 1.40608i | −0.711150 | − | 0.703041i | \(-0.751825\pi\) | ||
0.711150 | − | 0.703041i | \(-0.248175\pi\) | |||||||
\(762\) | −1.10632e21 | − | 1.21080e21i | −0.268669 | − | 0.294043i | ||||
\(763\) | 2.02429e21i | 0.486788i | ||||||||
\(764\) | 4.93476e20 | + | 6.99649e20i | 0.117508 | + | 0.166602i | ||||
\(765\) | 2.73526e21 | + | 2.32457e21i | 0.644967 | + | 0.548128i | ||||
\(766\) | −3.11493e21 | + | 6.00880e21i | −0.727331 | + | 1.40305i | ||||
\(767\) | 5.20684e21 | 1.20395 | ||||||||
\(768\) | −2.22340e21 | − | 3.75892e21i | −0.509107 | − | 0.860703i | ||||
\(769\) | 3.28042e21 | 0.743845 | 0.371922 | − | 0.928264i | \(-0.378699\pi\) | ||||
0.371922 | + | 0.928264i | \(0.378699\pi\) | |||||||
\(770\) | 1.61111e19 | − | 3.10789e19i | 0.00361781 | − | 0.00697887i | ||||
\(771\) | 6.56528e20 | − | 1.78633e21i | 0.145997 | − | 0.397241i | ||||
\(772\) | 1.46975e21 | + | 2.08381e21i | 0.323679 | + | 0.458912i | ||||
\(773\) | 7.83637e20i | 0.170911i | 0.996342 | + | 0.0854553i | \(0.0272345\pi\) | ||||
−0.996342 | + | 0.0854553i | \(0.972766\pi\) | |||||||
\(774\) | −2.80174e21 | − | 6.85235e21i | −0.605161 | − | 1.48007i | ||||
\(775\) | 1.15655e21i | 0.247401i | ||||||||
\(776\) | −3.18478e21 | + | 4.35925e20i | −0.674708 | + | 0.0923525i | ||||
\(777\) | −6.08302e20 | + | 1.65511e21i | −0.127633 | + | 0.347272i | ||||
\(778\) | −1.96120e21 | − | 1.01667e21i | −0.407544 | − | 0.211269i | ||||
\(779\) | 2.83730e21 | 0.583948 | ||||||||
\(780\) | −3.55452e21 | + | 9.53507e20i | −0.724554 | + | 0.194363i | ||||
\(781\) | 8.72783e19 | 0.0176207 | ||||||||
\(782\) | 1.04969e22 | + | 5.44151e21i | 2.09898 | + | 1.08810i | ||||
\(783\) | 2.26208e20 | − | 1.27776e20i | 0.0448018 | − | 0.0253068i | ||||
\(784\) | −1.23794e21 | + | 3.47501e21i | −0.242844 | + | 0.681688i | ||||
\(785\) | − | 1.02765e21i | − | 0.199675i | ||||||
\(786\) | 6.26824e21 | − | 5.72734e21i | 1.20636 | − | 1.10226i | ||||
\(787\) | − | 2.61809e21i | − | 0.499085i | −0.968364 | − | 0.249542i | \(-0.919720\pi\) | ||
0.968364 | − | 0.249542i | \(-0.0802802\pi\) | |||||||
\(788\) | 1.18108e21 | − | 8.33038e20i | 0.223014 | − | 0.157296i | ||||
\(789\) | −2.50583e21 | − | 9.20966e20i | −0.468678 | − | 0.172253i | ||||
\(790\) | 2.55048e21 | − | 4.91996e21i | 0.472519 | − | 0.911504i | ||||
\(791\) | 1.69145e20 | 0.0310409 | ||||||||
\(792\) | −1.29719e20 | − | 8.28490e19i | −0.0235811 | − | 0.0150608i | ||||
\(793\) | 9.72432e21 | 1.75110 | ||||||||
\(794\) | 3.26551e21 | − | 6.29927e21i | 0.582501 | − | 1.12366i | ||||
\(795\) | 2.34318e21 | + | 8.61188e20i | 0.414050 | + | 0.152175i | ||||
\(796\) | −5.83078e20 | + | 4.11256e20i | −0.102065 | + | 0.0719887i | ||||
\(797\) | 1.04205e19i | 0.00180697i | 1.00000 | 0.000903486i | \(0.000287589\pi\) | |||||
−1.00000 | 0.000903486i | \(0.999712\pi\) | ||||||||
\(798\) | 1.20193e21 | − | 1.09821e21i | 0.206470 | − | 0.188653i | ||||
\(799\) | 1.94939e21i | 0.331739i | ||||||||
\(800\) | −2.88942e21 | − | 3.09959e21i | −0.487120 | − | 0.522553i | ||||
\(801\) | −1.90716e21 | + | 2.24410e21i | −0.318525 | + | 0.374799i | ||||
\(802\) | −4.97283e21 | − | 2.57789e21i | −0.822803 | − | 0.426536i | ||||
\(803\) | 1.72981e20 | 0.0283552 | ||||||||
\(804\) | −8.59845e21 | + | 2.30656e21i | −1.39637 | + | 0.374579i | ||||
\(805\) | −2.60666e21 | −0.419388 | ||||||||
\(806\) | −2.70749e21 | − | 1.40355e21i | −0.431572 | − | 0.223725i | ||||
\(807\) | −1.29321e21 | + | 3.51865e21i | −0.204229 | + | 0.555680i | ||||
\(808\) | −1.66890e21 | − | 1.21927e22i | −0.261123 | − | 1.90771i | ||||
\(809\) | − | 1.25064e22i | − | 1.93874i | −0.245606 | − | 0.969370i | \(-0.578987\pi\) | ||
0.245606 | − | 0.969370i | \(-0.421013\pi\) | |||||||
\(810\) | −1.08226e21 | + | 3.30700e21i | −0.166224 | + | 0.507921i | ||||
\(811\) | 3.82062e21i | 0.581404i | 0.956814 | + | 0.290702i | \(0.0938887\pi\) | ||||
−0.956814 | + | 0.290702i | \(0.906111\pi\) | |||||||
\(812\) | −1.03403e20 | − | 1.46605e20i | −0.0155906 | − | 0.0221043i | ||||
\(813\) | 2.41650e21 | − | 6.57499e21i | 0.361000 | − | 0.982236i | ||||
\(814\) | 6.12301e19 | − | 1.18115e20i | 0.00906321 | − | 0.0174832i | ||||
\(815\) | 5.27486e21 | 0.773623 | ||||||||
\(816\) | −8.37474e21 | − | 6.97453e21i | −1.21701 | − | 1.01354i | ||||
\(817\) | −5.90809e21 | −0.850710 | ||||||||
\(818\) | −2.16489e21 | + | 4.17615e21i | −0.308878 | + | 0.595836i | ||||
\(819\) | −3.38006e21 | + | 3.97722e21i | −0.477853 | + | 0.562277i | ||||
\(820\) | 2.41348e21 | + | 3.42182e21i | 0.338095 | + | 0.479351i | ||||
\(821\) | 8.70492e21i | 1.20834i | 0.796854 | + | 0.604172i | \(0.206496\pi\) | ||||
−0.796854 | + | 0.604172i | \(0.793504\pi\) | |||||||
\(822\) | 3.29299e21 | + | 3.60398e21i | 0.452951 | + | 0.495729i | ||||
\(823\) | 2.82336e21i | 0.384828i | 0.981314 | + | 0.192414i | \(0.0616317\pi\) | ||||
−0.981314 | + | 0.192414i | \(0.938368\pi\) | |||||||
\(824\) | 1.07418e21 | + | 7.84772e21i | 0.145085 | + | 1.05996i | ||||
\(825\) | −1.40177e20 | − | 5.15191e19i | −0.0187617 | − | 0.00689547i | ||||
\(826\) | −3.01809e21 | − | 1.56456e21i | −0.400297 | − | 0.207512i | ||||
\(827\) | −9.37205e21 | −1.23181 | −0.615904 | − | 0.787821i | \(-0.711209\pi\) | ||||
−0.615904 | + | 0.787821i | \(0.711209\pi\) | |||||||
\(828\) | −1.03150e21 | + | 1.14146e22i | −0.134352 | + | 1.48673i | ||||
\(829\) | 1.32221e21 | 0.170664 | 0.0853322 | − | 0.996353i | \(-0.472805\pi\) | ||||
0.0853322 | + | 0.996353i | \(0.472805\pi\) | |||||||
\(830\) | −4.32160e21 | − | 2.24029e21i | −0.552788 | − | 0.286562i | ||||
\(831\) | 9.04569e21 | + | 3.32455e21i | 1.14666 | + | 0.421430i | ||||
\(832\) | 1.07627e22 | − | 3.00259e21i | 1.35206 | − | 0.377200i | ||||
\(833\) | 9.20584e21i | 1.14611i | ||||||||
\(834\) | 6.80404e21 | + | 7.44663e21i | 0.839502 | + | 0.918786i | ||||
\(835\) | 4.82937e20i | 0.0590530i | ||||||||
\(836\) | −1.00381e20 | + | 7.08004e19i | −0.0121647 | + | 0.00858003i | ||||
\(837\) | −2.51059e21 | + | 1.41814e21i | −0.301533 | + | 0.170325i | ||||
\(838\) | 4.98812e21 | − | 9.62224e21i | 0.593754 | − | 1.14537i | ||||
\(839\) | 5.76818e21 | 0.680494 | 0.340247 | − | 0.940336i | \(-0.389489\pi\) | ||||
0.340247 | + | 0.940336i | \(0.389489\pi\) | |||||||
\(840\) | 2.34685e21 | + | 5.15377e20i | 0.274404 | + | 0.0602602i | ||||
\(841\) | 8.60634e21 | 0.997352 | ||||||||
\(842\) | −2.35451e21 | + | 4.54193e21i | −0.270433 | + | 0.521675i | ||||
\(843\) | −2.92148e21 | + | 7.94897e21i | −0.332580 | + | 0.904907i | ||||
\(844\) | −5.45155e20 | + | 3.84508e20i | −0.0615109 | + | 0.0433848i | ||||
\(845\) | − | 4.63700e21i | − | 0.518576i | ||||||
\(846\) | −1.74908e21 | + | 7.15153e20i | −0.193880 | + | 0.0792723i | ||||
\(847\) | − | 4.78095e21i | − | 0.525277i | ||||||
\(848\) | −7.14004e21 | − | 2.54356e21i | −0.777557 | − | 0.276996i | ||||
\(849\) | 1.24895e21 | − | 3.39824e21i | 0.134815 | − | 0.366814i | ||||
\(850\) | −9.38827e21 | − | 4.86683e21i | −1.00449 | − | 0.520720i | ||||
\(851\) | −9.90658e21 | −1.05064 | ||||||||
\(852\) | 1.55211e21 | + | 5.78601e21i | 0.163165 | + | 0.608250i | ||||
\(853\) | 8.12588e21 | 0.846745 | 0.423372 | − | 0.905956i | \(-0.360846\pi\) | ||||
0.423372 | + | 0.905956i | \(0.360846\pi\) | |||||||
\(854\) | −5.63660e21 | − | 2.92198e21i | −0.582215 | − | 0.301817i | ||||
\(855\) | 2.11601e21 | + | 1.79830e21i | 0.216657 | + | 0.184127i | ||||
\(856\) | 8.34275e21 | − | 1.14194e21i | 0.846752 | − | 0.115901i | ||||
\(857\) | 9.30072e21i | 0.935751i | 0.883794 | + | 0.467875i | \(0.154980\pi\) | ||||
−0.883794 | + | 0.467875i | \(0.845020\pi\) | |||||||
\(858\) | 2.90720e20 | − | 2.65633e20i | 0.0289948 | − | 0.0264928i | ||||
\(859\) | 2.78845e21i | 0.275685i | 0.990454 | + | 0.137843i | \(0.0440168\pi\) | ||||
−0.990454 | + | 0.137843i | \(0.955983\pi\) | |||||||
\(860\) | −5.02556e21 | − | 7.12523e21i | −0.492546 | − | 0.698330i | ||||
\(861\) | 5.57420e21 | + | 2.04868e21i | 0.541575 | + | 0.199045i | ||||
\(862\) | −6.22983e21 | + | 1.20175e22i | −0.600028 | + | 1.15747i | ||||
\(863\) | 4.43618e21 | 0.423573 | 0.211786 | − | 0.977316i | \(-0.432072\pi\) | ||||
0.211786 | + | 0.977316i | \(0.432072\pi\) | |||||||
\(864\) | 3.18552e21 | − | 1.00729e22i | 0.301528 | − | 0.953457i | ||||
\(865\) | 1.91247e21 | 0.179463 | ||||||||
\(866\) | 8.67335e20 | − | 1.67312e21i | 0.0806868 | − | 0.155648i | ||||
\(867\) | −1.53511e22 | − | 5.64197e21i | −1.41578 | − | 0.520341i | ||||
\(868\) | 1.14763e21 | + | 1.62710e21i | 0.104931 | + | 0.148771i | ||||
\(869\) | 5.92999e20i | 0.0537534i | ||||||||
\(870\) | 2.25898e20 | − | 2.06404e20i | 0.0203010 | − | 0.0185492i | ||||
\(871\) | − | 2.27769e22i | − | 2.02936i | ||||||
\(872\) | 1.03861e22 | − | 1.42163e21i | 0.917446 | − | 0.125578i | ||||
\(873\) | −5.92523e21 | − | 5.03558e21i | −0.518917 | − | 0.441004i | ||||
\(874\) | 8.12043e21 | + | 4.20959e21i | 0.705088 | + | 0.365514i | ||||
\(875\) | 5.59483e21 | 0.481645 | ||||||||
\(876\) | 3.07621e21 | + | 1.14676e22i | 0.262564 | + | 0.978795i | ||||
\(877\) | −1.35482e22 | −1.14653 | −0.573263 | − | 0.819372i | \(-0.694322\pi\) | ||||
−0.573263 | + | 0.819372i | \(0.694322\pi\) | |||||||
\(878\) | −1.36775e22 | − | 7.09036e21i | −1.14762 | − | 0.594921i | ||||
\(879\) | 5.11937e21 | − | 1.39292e22i | 0.425892 | − | 1.15880i | ||||
\(880\) | −1.70773e20 | − | 6.08359e19i | −0.0140863 | − | 0.00501811i | ||||
\(881\) | 1.29638e22i | 1.06026i | 0.847916 | + | 0.530130i | \(0.177857\pi\) | ||||
−0.847916 | + | 0.530130i | \(0.822143\pi\) | |||||||
\(882\) | −8.25992e21 | + | 3.37726e21i | −0.669825 | + | 0.273873i | ||||
\(883\) | 1.12482e22i | 0.904434i | 0.891908 | + | 0.452217i | \(0.149367\pi\) | ||||
−0.891908 | + | 0.452217i | \(0.850633\pi\) | |||||||
\(884\) | 2.27865e22 | − | 1.60718e22i | 1.81671 | − | 1.28136i | ||||
\(885\) | 2.00024e21 | − | 5.44240e21i | 0.158128 | − | 0.430245i | ||||
\(886\) | −8.20718e21 | + | 1.58319e22i | −0.643341 | + | 1.24103i | ||||
\(887\) | 8.20002e21 | 0.637365 | 0.318682 | − | 0.947862i | \(-0.396760\pi\) | ||||
0.318682 | + | 0.947862i | \(0.396760\pi\) | |||||||
\(888\) | 8.91917e21 | + | 1.95868e21i | 0.687428 | + | 0.150962i | ||||
\(889\) | −2.73970e21 | −0.209382 | ||||||||
\(890\) | −1.59638e21 | + | 3.07948e21i | −0.120980 | + | 0.233374i | ||||
\(891\) | −6.00466e19 | − | 3.67462e20i | −0.00451238 | − | 0.0276140i | ||||
\(892\) | −1.35924e21 | + | 9.58700e20i | −0.101289 | + | 0.0714408i | ||||
\(893\) | 1.50806e21i | 0.111438i | ||||||||
\(894\) | 7.91396e21 | + | 8.66137e21i | 0.579913 | + | 0.634681i | ||||
\(895\) | 4.41715e20i | 0.0320973i | ||||||||
\(896\) | −7.14069e21 | − | 1.49356e21i | −0.514553 | − | 0.107625i | ||||
\(897\) | −2.75232e22 | − | 1.01156e22i | −1.96678 | − | 0.722848i | ||||
\(898\) | 1.91446e21 | + | 9.92444e20i | 0.135667 | + | 0.0703288i | ||||
\(899\) | 2.53568e20 | 0.0178196 | ||||||||
\(900\) | 9.22564e20 | − | 1.02091e22i | 0.0642951 | − | 0.711487i | ||||
\(901\) | −1.89151e22 | −1.30729 | ||||||||
\(902\) | −3.97795e20 | − | 2.06215e20i | −0.0272653 | − | 0.0141342i | ||||
\(903\) | −1.16071e22 | − | 4.26595e21i | −0.788980 | − | 0.289973i | ||||
\(904\) | −1.18788e20 | − | 8.67838e20i | −0.00800771 | − | 0.0585026i | ||||
\(905\) | − | 3.08501e20i | − | 0.0206249i | ||||||
\(906\) | 1.65822e22 | + | 1.81483e22i | 1.09946 | + | 1.20330i | ||||
\(907\) | − | 8.83521e21i | − | 0.580982i | −0.956878 | − | 0.290491i | \(-0.906181\pi\) | ||
0.956878 | − | 0.290491i | \(-0.0938186\pi\) | |||||||
\(908\) | 5.52720e21 | + | 7.83645e21i | 0.360463 | + | 0.511064i | ||||
\(909\) | 1.92783e22 | − | 2.26842e22i | 1.24692 | − | 1.46722i | ||||
\(910\) | −2.82927e21 | + | 5.45775e21i | −0.181495 | + | 0.350109i | ||||
\(911\) | 8.84940e21 | 0.563023 | 0.281511 | − | 0.959558i | \(-0.409164\pi\) | ||||
0.281511 | + | 0.959558i | \(0.409164\pi\) | |||||||
\(912\) | −6.47875e21 | − | 5.39554e21i | −0.408818 | − | 0.340466i | ||||
\(913\) | 5.20879e20 | 0.0325991 | ||||||||
\(914\) | 1.39190e22 | − | 2.68502e22i | 0.863995 | − | 1.66667i | ||||
\(915\) | 3.73566e21 | − | 1.01643e22i | 0.229990 | − | 0.625774i | ||||
\(916\) | 4.14723e21 | + | 5.87993e21i | 0.253245 | + | 0.359051i | ||||
\(917\) | − | 1.41833e22i | − | 0.859026i | ||||||
\(918\) | −9.46998e20 | − | 2.63473e22i | −0.0568891 | − | 1.58276i | ||||
\(919\) | − | 7.44235e21i | − | 0.443449i | −0.975109 | − | 0.221725i | \(-0.928831\pi\) | ||
0.975109 | − | 0.221725i | \(-0.0711686\pi\) | |||||||
\(920\) | 1.83062e21 | + | 1.33741e22i | 0.108191 | + | 0.790418i | ||||
\(921\) | −3.80655e21 | + | 1.03571e22i | −0.223144 | + | 0.607145i | ||||
\(922\) | 2.28385e20 | + | 1.18394e20i | 0.0132796 | + | 0.00688409i | ||||
\(923\) | −1.53269e22 | −0.883978 | ||||||||
\(924\) | −2.48331e20 | + | 6.66154e19i | −0.0142066 | + | 0.00381097i | ||||
\(925\) | 8.86034e21 | 0.502791 | ||||||||
\(926\) | −2.38613e21 | − | 1.23696e21i | −0.134311 | − | 0.0696261i | ||||
\(927\) | −1.24084e22 | + | 1.46006e22i | −0.692814 | + | 0.815215i | ||||
\(928\) | −6.79573e20 | + | 6.33493e20i | −0.0376380 | + | 0.0350859i | ||||
\(929\) | 3.00958e21i | 0.165344i | 0.996577 | + | 0.0826719i | \(0.0263453\pi\) | ||||
−0.996577 | + | 0.0826719i | \(0.973655\pi\) | |||||||
\(930\) | −2.50714e21 | + | 2.29079e21i | −0.136633 | + | 0.124843i | ||||
\(931\) | 7.12169e21i | 0.385000i | ||||||||
\(932\) | 5.08755e21 | − | 3.58834e21i | 0.272828 | − | 0.192431i | ||||
\(933\) | 3.18239e22 | + | 1.16962e22i | 1.69294 | + | 0.622204i | ||||
\(934\) | 4.90178e21 | − | 9.45570e21i | 0.258674 | − | 0.498990i | ||||
\(935\) | −4.52403e20 | −0.0236831 | ||||||||
\(936\) | 2.27799e22 | + | 1.45491e22i | 1.18299 | + | 0.755555i | ||||
\(937\) | 1.12536e22 | 0.579756 | 0.289878 | − | 0.957064i | \(-0.406385\pi\) | ||||
0.289878 | + | 0.957064i | \(0.406385\pi\) | |||||||
\(938\) | −6.84406e21 | + | 1.32024e22i | −0.349778 | + | 0.674733i | ||||
\(939\) | −9.92857e21 | − | 3.64904e21i | −0.503378 | − | 0.185006i | ||||
\(940\) | −1.81874e21 | + | 1.28279e21i | −0.0914768 | + | 0.0645204i | ||||
\(941\) | 3.45502e22i | 1.72396i | 0.506939 | + | 0.861982i | \(0.330777\pi\) | ||||
−0.506939 | + | 0.861982i | \(0.669223\pi\) | |||||||
\(942\) | −5.57203e21 | + | 5.09120e21i | −0.275824 | + | 0.252022i | ||||
\(943\) | 3.33640e22i | 1.63848i | ||||||||
\(944\) | −5.90781e21 | + | 1.65838e22i | −0.287830 | + | 0.807970i | ||||
\(945\) | 2.85868e21 | + | 5.06084e21i | 0.138174 | + | 0.244616i | ||||
\(946\) | 8.28326e20 | + | 4.29400e20i | 0.0397208 | + | 0.0205910i | ||||
\(947\) | 2.47689e22 | 1.17837 | 0.589185 | − | 0.807998i | \(-0.299449\pi\) | ||||
0.589185 | + | 0.807998i | \(0.299449\pi\) | |||||||
\(948\) | −3.93122e22 | + | 1.05456e22i | −1.85552 | + | 0.497746i | ||||
\(949\) | −3.03772e22 | −1.42250 | ||||||||
\(950\) | −7.26283e21 | − | 3.76501e21i | −0.337426 | − | 0.174920i | ||||
\(951\) | 7.28810e21 | − | 1.98300e22i | 0.335939 | − | 0.914047i | ||||
\(952\) | −1.80373e22 | + | 2.46890e21i | −0.824886 | + | 0.112908i | ||||
\(953\) | − | 2.78172e20i | − | 0.0126217i | −0.999980 | − | 0.00631083i | \(-0.997991\pi\) | ||
0.999980 | − | 0.00631083i | \(-0.00200881\pi\) | |||||||
\(954\) | −6.93919e21 | − | 1.69715e22i | −0.312389 | − | 0.764025i | ||||
\(955\) | 2.43935e21i | 0.108956i | ||||||||
\(956\) | −1.81561e22 | − | 2.57416e22i | −0.804615 | − | 1.14078i | ||||
\(957\) | −1.12953e19 | + | 3.07332e19i | −0.000496661 | + | 0.00135135i | ||||
\(958\) | 5.37149e20 | − | 1.03618e21i | 0.0234344 | − | 0.0452057i | ||||
\(959\) | 8.15481e21 | 0.353000 | ||||||||
\(960\) | 9.96112e20 | − | 1.24030e22i | 0.0427833 | − | 0.532714i | ||||
\(961\) | 2.06510e22 | 0.880067 | ||||||||
\(962\) | −1.07526e22 | + | 2.07421e22i | −0.454674 | + | 0.877081i | ||||
\(963\) | 1.55216e22 | + | 1.31911e22i | 0.651236 | + | 0.553456i | ||||
\(964\) | −1.27997e22 | − | 1.81474e22i | −0.532871 | − | 0.755503i | ||||
\(965\) | 7.26530e21i | 0.300123i | ||||||||
\(966\) | 1.29140e22 | + | 1.41336e22i | 0.529336 | + | 0.579328i | ||||
\(967\) | 3.40228e22i | 1.38379i | 0.721996 | + | 0.691897i | \(0.243225\pi\) | ||||
−0.721996 | + | 0.691897i | \(0.756775\pi\) | |||||||
\(968\) | −2.45298e22 | + | 3.35759e21i | −0.989986 | + | 0.135507i | ||||
\(969\) | −1.97489e22 | − | 7.25829e21i | −0.790887 | − | 0.290674i | ||||
\(970\) | −8.13091e21 | − | 4.21502e21i | −0.323111 | − | 0.167499i | ||||
\(971\) | −4.21128e22 | −1.66062 | −0.830309 | − | 0.557304i | \(-0.811836\pi\) | ||||
−0.830309 | + | 0.557304i | \(0.811836\pi\) | |||||||
\(972\) | 2.32926e22 | − | 1.05155e22i | 0.911426 | − | 0.411464i | ||||
\(973\) | 1.68496e22 | 0.654251 | ||||||||
\(974\) | 1.54377e22 | + | 8.00279e21i | 0.594825 | + | 0.308354i | ||||
\(975\) | 2.46164e22 | + | 9.04725e21i | 0.941218 | + | 0.345925i | ||||
\(976\) | −1.10335e22 | + | 3.09720e22i | −0.418637 | + | 1.17516i | ||||
\(977\) | − | 2.28470e22i | − | 0.860239i | −0.902772 | − | 0.430120i | \(-0.858471\pi\) | ||
0.902772 | − | 0.430120i | \(-0.141529\pi\) | |||||||
\(978\) | −2.61328e22 | − | 2.86009e22i | −0.976439 | − | 1.06866i | ||||
\(979\) | − | 3.71167e20i | − | 0.0137626i | ||||||
\(980\) | −8.58886e21 | + | 6.05789e21i | −0.316038 | + | 0.222908i | ||||
\(981\) | 1.93233e22 | + | 1.64220e22i | 0.705607 | + | 0.599663i | ||||
\(982\) | 1.50057e22 | − | 2.89465e22i | 0.543777 | − | 1.04896i | ||||
\(983\) | −2.33254e21 | −0.0838837 | −0.0419419 | − | 0.999120i | \(-0.513354\pi\) | ||||
−0.0419419 | + | 0.999120i | \(0.513354\pi\) | |||||||
\(984\) | 6.59658e21 | − | 3.00386e22i | 0.235427 | − | 1.07205i | ||||
\(985\) | 4.11788e21 | 0.145849 | ||||||||
\(986\) | −1.06703e21 | + | 2.05834e21i | −0.0375060 | + | 0.0723502i | ||||
\(987\) | −1.08890e21 | + | 2.96275e21i | −0.0379847 | + | 0.103351i | ||||
\(988\) | 1.76278e22 | − | 1.24332e22i | 0.610269 | − | 0.430434i | ||||
\(989\) | − | 6.94737e22i | − | 2.38698i | ||||||
\(990\) | −1.65969e20 | − | 4.05917e20i | −0.00565929 | − | 0.0138412i | ||||
\(991\) | − | 4.96892e22i | − | 1.68155i | −0.541386 | − | 0.840774i | \(-0.682100\pi\) | ||
0.541386 | − | 0.840774i | \(-0.317900\pi\) | |||||||
\(992\) | 7.54229e21 | − | 7.03087e21i | 0.253318 | − | 0.236141i | ||||
\(993\) | −7.06030e21 | + | 1.92102e22i | −0.235344 | + | 0.640342i | ||||
\(994\) | 8.88408e21 | + | 4.60546e21i | 0.293910 | + | 0.152361i | ||||
\(995\) | −2.03293e21 | −0.0667496 | ||||||||
\(996\) | 9.26303e21 | + | 3.45310e22i | 0.301862 | + | 1.12529i | ||||
\(997\) | −4.42015e21 | −0.142963 | −0.0714815 | − | 0.997442i | \(-0.522773\pi\) | ||||
−0.0714815 | + | 0.997442i | \(0.522773\pi\) | |||||||
\(998\) | 5.36310e22 | + | 2.78020e22i | 1.72162 | + | 0.892478i | ||||
\(999\) | 1.08644e22 | + | 1.92337e22i | 0.346149 | + | 0.612803i |
(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 | 12.16.b.a.11.10 | yes | 28 | |
3.2 | odd | 2 | inner | 12.16.b.a.11.19 | yes | 28 | |
4.3 | odd | 2 | inner | 12.16.b.a.11.20 | yes | 28 | |
12.11 | even | 2 | inner | 12.16.b.a.11.9 | ✓ | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.16.b.a.11.9 | ✓ | 28 | 12.11 | even | 2 | inner | |
12.16.b.a.11.10 | yes | 28 | 1.1 | even | 1 | trivial | |
12.16.b.a.11.19 | yes | 28 | 3.2 | odd | 2 | inner | |
12.16.b.a.11.20 | yes | 28 | 4.3 | odd | 2 | inner |