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 | 11.6 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.16.b.a.11.5 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −166.441 | + | 71.1726i | −0.919463 | + | 0.393177i | ||||
\(3\) | −8.61090 | + | 3787.99i | −0.00227321 | + | 0.999997i | ||||
\(4\) | 22636.9 | − | 23692.0i | 0.690824 | − | 0.723023i | ||||
\(5\) | 99785.5i | 0.571205i | 0.958348 | + | 0.285603i | \(0.0921938\pi\) | ||||
−0.958348 | + | 0.285603i | \(0.907806\pi\) | |||||||
\(6\) | −268168. | − | 631087.i | −0.391086 | − | 0.920354i | ||||
\(7\) | − | 1.78364e6i | − | 0.818601i | −0.912400 | − | 0.409300i | \(-0.865773\pi\) | ||
0.912400 | − | 0.409300i | \(-0.134227\pi\) | |||||||
\(8\) | −2.08148e6 | + | 5.55444e6i | −0.350911 | + | 0.936409i | ||||
\(9\) | −1.43488e7 | − | 65235.9i | −0.999990 | − | 0.00454640i | ||||
\(10\) | −7.10200e6 | − | 1.66083e7i | −0.224585 | − | 0.525202i | ||||
\(11\) | −1.16077e8 | −1.79597 | −0.897987 | − | 0.440022i | \(-0.854971\pi\) | ||||
−0.897987 | + | 0.440022i | \(0.854971\pi\) | |||||||
\(12\) | 8.95501e7 | + | 8.59523e7i | 0.721451 | + | 0.692465i | ||||
\(13\) | 2.21330e8 | 0.978282 | 0.489141 | − | 0.872205i | \(-0.337310\pi\) | ||||
0.489141 | + | 0.872205i | \(0.337310\pi\) | |||||||
\(14\) | 1.26946e8 | + | 2.96870e8i | 0.321855 | + | 0.752673i | ||||
\(15\) | −3.77986e8 | − | 859243.i | −0.571204 | − | 0.00129847i | ||||
\(16\) | −4.88824e7 | − | 1.07263e9i | −0.0455253 | − | 0.998963i | ||||
\(17\) | − | 1.04886e9i | − | 0.619941i | −0.950746 | − | 0.309971i | \(-0.899681\pi\) | ||
0.950746 | − | 0.309971i | \(-0.100319\pi\) | |||||||
\(18\) | 2.39286e9 | − | 1.01038e9i | 0.921241 | − | 0.388993i | ||||
\(19\) | − | 4.40175e9i | − | 1.12973i | −0.825185 | − | 0.564863i | \(-0.808929\pi\) | ||
0.825185 | − | 0.564863i | \(-0.191071\pi\) | |||||||
\(20\) | 2.36412e9 | + | 2.25883e9i | 0.412995 | + | 0.394602i | ||||
\(21\) | 6.75641e9 | + | 1.53588e7i | 0.818599 | + | 0.00186085i | ||||
\(22\) | 1.93199e10 | − | 8.26149e9i | 1.65133 | − | 0.706136i | ||||
\(23\) | 1.18058e10 | 0.722998 | 0.361499 | − | 0.932373i | \(-0.382265\pi\) | ||||
0.361499 | + | 0.932373i | \(0.382265\pi\) | |||||||
\(24\) | −2.10222e10 | − | 7.93243e9i | −0.935609 | − | 0.353038i | ||||
\(25\) | 2.05604e10 | 0.673724 | ||||||||
\(26\) | −3.68382e10 | + | 1.57526e10i | −0.899494 | + | 0.384638i | ||||
\(27\) | 3.70668e8 | − | 5.43523e10i | 0.00681958 | − | 0.999977i | ||||
\(28\) | −4.22581e10 | − | 4.03761e10i | −0.591867 | − | 0.565509i | ||||
\(29\) | 3.11714e10i | 0.335561i | 0.985824 | + | 0.167780i | \(0.0536599\pi\) | ||||
−0.985824 | + | 0.167780i | \(0.946340\pi\) | |||||||
\(30\) | 6.29733e10 | − | 2.67592e10i | 0.525711 | − | 0.223390i | ||||
\(31\) | 8.47798e10i | 0.553452i | 0.960949 | + | 0.276726i | \(0.0892494\pi\) | ||||
−0.960949 | + | 0.276726i | \(0.910751\pi\) | |||||||
\(32\) | 8.44778e10 | + | 1.75050e11i | 0.434628 | + | 0.900610i | ||||
\(33\) | 9.99525e8 | − | 4.39697e11i | 0.00408262 | − | 1.79597i | ||||
\(34\) | 7.46502e10 | + | 1.74573e11i | 0.243747 | + | 0.570013i | ||||
\(35\) | 1.77981e11 | 0.467589 | ||||||||
\(36\) | −3.26357e11 | + | 3.38474e11i | −0.694104 | + | 0.719875i | ||||
\(37\) | −5.63984e11 | −0.976684 | −0.488342 | − | 0.872652i | \(-0.662398\pi\) | ||||
−0.488342 | + | 0.872652i | \(0.662398\pi\) | |||||||
\(38\) | 3.13284e11 | + | 7.32629e11i | 0.444182 | + | 1.03874i | ||||
\(39\) | −1.90585e9 | + | 8.38393e11i | −0.00222384 | + | 0.978280i | ||||
\(40\) | −5.54253e11 | − | 2.07701e11i | −0.534882 | − | 0.200442i | ||||
\(41\) | − | 1.67904e12i | − | 1.34642i | −0.739450 | − | 0.673211i | \(-0.764915\pi\) | ||
0.739450 | − | 0.673211i | \(-0.235085\pi\) | |||||||
\(42\) | −1.12563e12 | + | 4.78315e11i | −0.753403 | + | 0.320143i | ||||
\(43\) | − | 6.70438e11i | − | 0.376136i | −0.982156 | − | 0.188068i | \(-0.939777\pi\) | ||
0.982156 | − | 0.188068i | \(-0.0602226\pi\) | |||||||
\(44\) | −2.62762e12 | + | 2.75009e12i | −1.24070 | + | 1.29853i | ||||
\(45\) | 6.50960e9 | − | 1.43180e12i | 0.00259693 | − | 0.571199i | ||||
\(46\) | −1.96497e12 | + | 8.40251e11i | −0.664770 | + | 0.284266i | ||||
\(47\) | 4.09939e12 | 1.18028 | 0.590141 | − | 0.807300i | \(-0.299072\pi\) | ||||
0.590141 | + | 0.807300i | \(0.299072\pi\) | |||||||
\(48\) | 4.06352e12 | − | 1.75929e11i | 0.999064 | − | 0.0432543i | ||||
\(49\) | 1.56619e12 | 0.329893 | ||||||||
\(50\) | −3.42209e12 | + | 1.46334e12i | −0.619465 | + | 0.264893i | ||||
\(51\) | 3.97307e12 | + | 9.03163e9i | 0.619940 | + | 0.00140926i | ||||
\(52\) | 5.01022e12 | − | 5.24375e12i | 0.675821 | − | 0.707321i | ||||
\(53\) | − | 1.54771e13i | − | 1.80975i | −0.425673 | − | 0.904877i | \(-0.639963\pi\) | ||
0.425673 | − | 0.904877i | \(-0.360037\pi\) | |||||||
\(54\) | 3.80670e12 | + | 9.07281e12i | 0.386898 | + | 0.922123i | ||||
\(55\) | − | 1.15828e13i | − | 1.02587i | ||||||
\(56\) | 9.90713e12 | + | 3.71261e12i | 0.766545 | + | 0.287256i | ||||
\(57\) | 1.66738e13 | + | 3.79030e10i | 1.12972 | + | 0.00256810i | ||||
\(58\) | −2.21855e12 | − | 5.18818e12i | −0.131935 | − | 0.308536i | ||||
\(59\) | −1.68098e13 | −0.879372 | −0.439686 | − | 0.898152i | \(-0.644910\pi\) | ||||
−0.439686 | + | 0.898152i | \(0.644910\pi\) | |||||||
\(60\) | −8.57679e12 | + | 8.93580e12i | −0.395540 | + | 0.412097i | ||||
\(61\) | −2.24017e13 | −0.912656 | −0.456328 | − | 0.889812i | \(-0.650836\pi\) | ||||
−0.456328 | + | 0.889812i | \(0.650836\pi\) | |||||||
\(62\) | −6.03400e12 | − | 1.41108e13i | −0.217605 | − | 0.508878i | ||||
\(63\) | −1.16357e11 | + | 2.55930e13i | −0.00372169 | + | 0.818592i | ||||
\(64\) | −2.65193e13 | − | 2.31229e13i | −0.753724 | − | 0.657192i | ||||
\(65\) | 2.20855e13i | 0.558800i | ||||||||
\(66\) | 3.11280e13 | + | 7.32545e13i | 0.702380 | + | 1.65293i | ||||
\(67\) | 8.16964e11i | 0.0164680i | 0.999966 | + | 0.00823402i | \(0.00262100\pi\) | ||||
−0.999966 | + | 0.00823402i | \(0.997379\pi\) | |||||||
\(68\) | −2.48496e13 | − | 2.37430e13i | −0.448232 | − | 0.428270i | ||||
\(69\) | −1.01659e11 | + | 4.47202e13i | −0.00164352 | + | 0.722996i | ||||
\(70\) | −2.96233e13 | + | 1.26674e13i | −0.429931 | + | 0.183845i | ||||
\(71\) | 2.78819e13 | 0.363818 | 0.181909 | − | 0.983315i | \(-0.441772\pi\) | ||||
0.181909 | + | 0.983315i | \(0.441772\pi\) | |||||||
\(72\) | 3.02289e13 | − | 7.95636e13i | 0.355164 | − | 0.934804i | ||||
\(73\) | −9.23076e13 | −0.977949 | −0.488974 | − | 0.872298i | \(-0.662629\pi\) | ||||
−0.488974 | + | 0.872298i | \(0.662629\pi\) | |||||||
\(74\) | 9.38699e13 | − | 4.01403e13i | 0.898025 | − | 0.384010i | ||||
\(75\) | −1.77044e11 | + | 7.78826e13i | −0.00153152 | + | 0.673723i | ||||
\(76\) | −1.04286e14 | − | 9.96420e13i | −0.816818 | − | 0.780441i | ||||
\(77\) | 2.07039e14i | 1.47019i | ||||||||
\(78\) | −5.93534e13 | − | 1.39678e14i | −0.382592 | − | 0.900366i | ||||
\(79\) | − | 1.17224e14i | − | 0.686771i | −0.939195 | − | 0.343385i | \(-0.888426\pi\) | ||
0.939195 | − | 0.343385i | \(-0.111574\pi\) | |||||||
\(80\) | 1.07033e14 | − | 4.87775e12i | 0.570613 | − | 0.0260043i | ||||
\(81\) | 2.05883e14 | + | 1.87211e12i | 0.999959 | + | 0.00909271i | ||||
\(82\) | 1.19501e14 | + | 2.79460e14i | 0.529382 | + | 1.23799i | ||||
\(83\) | −3.73681e14 | −1.51153 | −0.755763 | − | 0.654845i | \(-0.772734\pi\) | ||||
−0.755763 | + | 0.654845i | \(0.772734\pi\) | |||||||
\(84\) | 1.53308e14 | − | 1.59725e14i | 0.566853 | − | 0.590580i | ||||
\(85\) | 1.04661e14 | 0.354114 | ||||||||
\(86\) | 4.77169e13 | + | 1.11588e14i | 0.147888 | + | 0.345843i | ||||
\(87\) | −1.18077e14 | − | 2.68414e11i | −0.335560 | − | 0.000762799i | ||||
\(88\) | 2.41611e14 | − | 6.44741e14i | 0.630226 | − | 1.68177i | ||||
\(89\) | 9.06108e13i | 0.217148i | 0.994088 | + | 0.108574i | \(0.0346284\pi\) | ||||
−0.994088 | + | 0.108574i | \(0.965372\pi\) | |||||||
\(90\) | 1.00821e14 | + | 2.38772e14i | 0.222195 | + | 0.526218i | ||||
\(91\) | − | 3.94772e14i | − | 0.800823i | ||||||
\(92\) | 2.67247e14 | − | 2.79704e14i | 0.499464 | − | 0.522744i | ||||
\(93\) | −3.21145e14 | − | 7.30030e11i | −0.553450 | − | 0.00125811i | ||||
\(94\) | −6.82305e14 | + | 2.91765e14i | −1.08523 | + | 0.464060i | ||||
\(95\) | 4.39230e14 | 0.645306 | ||||||||
\(96\) | −6.63813e14 | + | 3.18493e14i | −0.901596 | + | 0.432580i | ||||
\(97\) | 2.89927e14 | 0.364335 | 0.182168 | − | 0.983268i | \(-0.441689\pi\) | ||||
0.182168 | + | 0.983268i | \(0.441689\pi\) | |||||||
\(98\) | −2.60677e14 | + | 1.11470e14i | −0.303324 | + | 0.129706i | ||||
\(99\) | 1.66556e15 | + | 7.57237e12i | 1.79596 | + | 0.00816522i | ||||
\(100\) | 4.65425e14 | − | 4.87118e14i | 0.465425 | − | 0.487118i | ||||
\(101\) | − | 1.96367e15i | − | 1.82246i | −0.411893 | − | 0.911232i | \(-0.635132\pi\) | ||
0.411893 | − | 0.911232i | \(-0.364868\pi\) | |||||||
\(102\) | −6.61922e14 | + | 2.81270e14i | −0.570566 | + | 0.242450i | ||||
\(103\) | 1.91240e15i | 1.53215i | 0.642753 | + | 0.766073i | \(0.277792\pi\) | ||||
−0.642753 | + | 0.766073i | \(0.722208\pi\) | |||||||
\(104\) | −4.60692e14 | + | 1.22936e15i | −0.343290 | + | 0.916072i | ||||
\(105\) | −1.53258e12 | + | 6.74191e14i | −0.00106293 | + | 0.467588i | ||||
\(106\) | 1.10154e15 | + | 2.57601e15i | 0.711554 | + | 1.66400i | ||||
\(107\) | −1.69921e15 | −1.02298 | −0.511491 | − | 0.859289i | \(-0.670907\pi\) | ||||
−0.511491 | + | 0.859289i | \(0.670907\pi\) | |||||||
\(108\) | −1.27933e15 | − | 1.23915e15i | −0.718295 | − | 0.695738i | ||||
\(109\) | −1.76001e15 | −0.922183 | −0.461092 | − | 0.887353i | \(-0.652542\pi\) | ||||
−0.461092 | + | 0.887353i | \(0.652542\pi\) | |||||||
\(110\) | 8.24376e14 | + | 1.92784e15i | 0.403348 | + | 0.943249i | ||||
\(111\) | 4.85641e12 | − | 2.13636e15i | 0.00222021 | − | 0.976682i | ||||
\(112\) | −1.91318e15 | + | 8.71886e13i | −0.817752 | + | 0.0372670i | ||||
\(113\) | − | 3.83858e15i | − | 1.53491i | −0.641104 | − | 0.767454i | \(-0.721523\pi\) | ||
0.641104 | − | 0.767454i | \(-0.278477\pi\) | |||||||
\(114\) | −2.77789e15 | + | 1.18041e15i | −1.03975 | + | 0.441820i | ||||
\(115\) | 1.17805e15i | 0.412980i | ||||||||
\(116\) | 7.38513e14 | + | 7.05624e14i | 0.242618 | + | 0.231813i | ||||
\(117\) | −3.17580e15 | − | 1.44386e13i | −0.978272 | − | 0.00444767i | ||||
\(118\) | 2.79783e15 | − | 1.19640e15i | 0.808550 | − | 0.345749i | ||||
\(119\) | −1.87079e15 | −0.507485 | ||||||||
\(120\) | 7.91541e14 | − | 2.09771e15i | 0.201657 | − | 0.534425i | ||||
\(121\) | 9.29656e15 | 2.22552 | ||||||||
\(122\) | 3.72855e15 | − | 1.59439e15i | 0.839153 | − | 0.358835i | ||||
\(123\) | 6.36017e15 | + | 1.44580e13i | 1.34642 | + | 0.00306070i | ||||
\(124\) | 2.00861e15 | + | 1.91915e15i | 0.400159 | + | 0.382338i | ||||
\(125\) | 5.09684e15i | 0.956040i | ||||||||
\(126\) | −1.80216e15 | − | 4.26800e15i | −0.318430 | − | 0.754128i | ||||
\(127\) | − | 4.45682e15i | − | 0.742159i | −0.928601 | − | 0.371080i | \(-0.878988\pi\) | ||
0.928601 | − | 0.371080i | \(-0.121012\pi\) | |||||||
\(128\) | 6.05960e15 | + | 1.96114e15i | 0.951413 | + | 0.307916i | ||||
\(129\) | 2.53961e15 | + | 5.77308e12i | 0.376135 | + | 0.000855036i | ||||
\(130\) | −1.57188e15 | − | 3.67592e15i | −0.219707 | − | 0.513796i | ||||
\(131\) | −6.21982e15 | −0.820811 | −0.410405 | − | 0.911903i | \(-0.634613\pi\) | ||||
−0.410405 | + | 0.911903i | \(0.634613\pi\) | |||||||
\(132\) | −1.03947e16 | − | 9.97706e15i | −1.29571 | − | 1.24365i | ||||
\(133\) | −7.85114e15 | −0.924795 | ||||||||
\(134\) | −5.81455e13 | − | 1.35976e14i | −0.00647486 | − | 0.0151418i | ||||
\(135\) | 5.42357e15 | + | 3.69873e13i | 0.571192 | + | 0.00389538i | ||||
\(136\) | 5.82583e15 | + | 2.18318e15i | 0.580519 | + | 0.217544i | ||||
\(137\) | 1.21702e16i | 1.14787i | 0.818901 | + | 0.573935i | \(0.194584\pi\) | ||||
−0.818901 | + | 0.573935i | \(0.805416\pi\) | |||||||
\(138\) | −3.16594e15 | − | 7.45050e15i | −0.282754 | − | 0.665414i | ||||
\(139\) | 1.15957e15i | 0.0981042i | 0.998796 | + | 0.0490521i | \(0.0156200\pi\) | ||||
−0.998796 | + | 0.0490521i | \(0.984380\pi\) | |||||||
\(140\) | 4.02895e15 | − | 4.21674e15i | 0.323022 | − | 0.338078i | ||||
\(141\) | −3.52995e13 | + | 1.55284e16i | −0.00268303 | + | 1.18028i | ||||
\(142\) | −4.64068e15 | + | 1.98443e15i | −0.334517 | + | 0.143045i | ||||
\(143\) | −2.56912e16 | −1.75697 | ||||||||
\(144\) | 6.31428e14 | + | 1.53941e16i | 0.0409831 | + | 0.999160i | ||||
\(145\) | −3.11045e15 | −0.191674 | ||||||||
\(146\) | 1.53637e16 | − | 6.56978e15i | 0.899187 | − | 0.384507i | ||||
\(147\) | −1.34863e13 | + | 5.93269e15i | −0.000749915 | + | 0.329892i | ||||
\(148\) | −1.27669e16 | + | 1.33619e16i | −0.674717 | + | 0.706165i | ||||
\(149\) | − | 2.35030e16i | − | 1.18093i | −0.807062 | − | 0.590467i | \(-0.798943\pi\) | ||
0.807062 | − | 0.590467i | \(-0.201057\pi\) | |||||||
\(150\) | −5.51365e15 | − | 1.29754e16i | −0.263484 | − | 0.620065i | ||||
\(151\) | 2.24244e16i | 1.01951i | 0.860318 | + | 0.509757i | \(0.170265\pi\) | ||||
−0.860318 | + | 0.509757i | \(0.829735\pi\) | |||||||
\(152\) | 2.44493e16 | + | 9.16213e15i | 1.05789 | + | 0.396433i | ||||
\(153\) | −6.84234e13 | + | 1.50498e16i | −0.00281850 | + | 0.619935i | ||||
\(154\) | −1.47355e16 | − | 3.44597e16i | −0.578043 | − | 1.35178i | ||||
\(155\) | −8.45979e15 | −0.316135 | ||||||||
\(156\) | 1.98201e16 | + | 1.90238e16i | 0.705783 | + | 0.677427i | ||||
\(157\) | −2.04076e16 | −0.692699 | −0.346349 | − | 0.938106i | \(-0.612579\pi\) | ||||
−0.346349 | + | 0.938106i | \(0.612579\pi\) | |||||||
\(158\) | 8.34311e15 | + | 1.95108e16i | 0.270023 | + | 0.631460i | ||||
\(159\) | 5.86269e16 | + | 1.33271e14i | 1.80975 | + | 0.00411395i | ||||
\(160\) | −1.74674e16 | + | 8.42966e15i | −0.514433 | + | 0.248262i | ||||
\(161\) | − | 2.10573e16i | − | 0.591847i | ||||||
\(162\) | −3.44005e16 | + | 1.43416e16i | −0.923000 | + | 0.384800i | ||||
\(163\) | − | 6.89132e16i | − | 1.76561i | −0.469737 | − | 0.882806i | \(-0.655651\pi\) | ||
0.469737 | − | 0.882806i | \(-0.344349\pi\) | |||||||
\(164\) | −3.97798e16 | − | 3.80082e16i | −0.973495 | − | 0.930140i | ||||
\(165\) | 4.38754e16 | + | 9.97381e13i | 1.02587 | + | 0.00233202i | ||||
\(166\) | 6.21957e16 | − | 2.65959e16i | 1.38979 | − | 0.594297i | ||||
\(167\) | −1.03995e16 | −0.222146 | −0.111073 | − | 0.993812i | \(-0.535429\pi\) | ||||
−0.111073 | + | 0.993812i | \(0.535429\pi\) | |||||||
\(168\) | −1.41486e16 | + | 3.74961e16i | −0.288997 | + | 0.765890i | ||||
\(169\) | −2.19912e15 | −0.0429634 | ||||||||
\(170\) | −1.74198e16 | + | 7.44900e15i | −0.325595 | + | 0.139229i | ||||
\(171\) | −2.87152e14 | + | 6.31596e16i | −0.00513619 | + | 1.12971i | ||||
\(172\) | −1.58840e16 | − | 1.51766e16i | −0.271955 | − | 0.259844i | ||||
\(173\) | − | 4.08150e16i | − | 0.669074i | −0.942383 | − | 0.334537i | \(-0.891420\pi\) | ||
0.942383 | − | 0.334537i | \(-0.108580\pi\) | |||||||
\(174\) | 1.96719e16 | − | 8.35916e15i | 0.308835 | − | 0.131233i | ||||
\(175\) | − | 3.66724e16i | − | 0.551511i | ||||||
\(176\) | 5.67411e15 | + | 1.24507e17i | 0.0817622 | + | 1.79411i | ||||
\(177\) | 1.44747e14 | − | 6.36753e16i | 0.00199899 | − | 0.879369i | ||||
\(178\) | −6.44901e15 | − | 1.50813e16i | −0.0853775 | − | 0.199659i | ||||
\(179\) | 2.38326e16 | 0.302533 | 0.151267 | − | 0.988493i | \(-0.451665\pi\) | ||||
0.151267 | + | 0.988493i | \(0.451665\pi\) | |||||||
\(180\) | −3.37748e16 | − | 3.25657e16i | −0.411196 | − | 0.396476i | ||||
\(181\) | 7.87724e16 | 0.919994 | 0.459997 | − | 0.887920i | \(-0.347850\pi\) | ||||
0.459997 | + | 0.887920i | \(0.347850\pi\) | |||||||
\(182\) | 2.80970e16 | + | 6.57061e16i | 0.314865 | + | 0.736327i | ||||
\(183\) | 1.92899e14 | − | 8.48573e16i | 0.00207466 | − | 0.912654i | ||||
\(184\) | −2.45735e16 | + | 6.55747e16i | −0.253708 | + | 0.677022i | ||||
\(185\) | − | 5.62775e16i | − | 0.557887i | ||||||
\(186\) | 5.35035e16 | − | 2.27352e16i | 0.509372 | − | 0.216447i | ||||
\(187\) | 1.21748e17i | 1.11340i | ||||||||
\(188\) | 9.27976e16 | − | 9.71230e16i | 0.815367 | − | 0.853371i | ||||
\(189\) | −9.69450e16 | − | 6.61139e14i | −0.818582 | − | 0.00558251i | ||||
\(190\) | −7.31058e16 | + | 3.12612e16i | −0.593334 | + | 0.253719i | ||||
\(191\) | 2.98795e16 | 0.233143 | 0.116572 | − | 0.993182i | \(-0.462810\pi\) | ||||
0.116572 | + | 0.993182i | \(0.462810\pi\) | |||||||
\(192\) | 8.78175e16 | − | 1.00256e17i | 0.658903 | − | 0.752228i | ||||
\(193\) | −1.60864e17 | −1.16086 | −0.580429 | − | 0.814311i | \(-0.697115\pi\) | ||||
−0.580429 | + | 0.814311i | \(0.697115\pi\) | |||||||
\(194\) | −4.82556e16 | + | 2.06349e16i | −0.334993 | + | 0.143248i | ||||
\(195\) | −8.36595e16 | − | 1.90176e14i | −0.558799 | − | 0.00127027i | ||||
\(196\) | 3.54536e16 | − | 3.71061e16i | 0.227898 | − | 0.238520i | ||||
\(197\) | 1.33400e17i | 0.825390i | 0.910869 | + | 0.412695i | \(0.135412\pi\) | ||||
−0.910869 | + | 0.412695i | \(0.864588\pi\) | |||||||
\(198\) | −2.77755e17 | + | 1.17282e17i | −1.65452 | + | 0.698621i | ||||
\(199\) | 9.47915e16i | 0.543715i | 0.962337 | + | 0.271858i | \(0.0876380\pi\) | ||||
−0.962337 | + | 0.271858i | \(0.912362\pi\) | |||||||
\(200\) | −4.27961e16 | + | 1.14202e17i | −0.236417 | + | 0.630882i | ||||
\(201\) | −3.09465e15 | − | 7.03480e12i | −0.0164680 | − | 3.74353e-5i | ||||
\(202\) | 1.39760e17 | + | 3.26835e17i | 0.716551 | + | 1.67569i | ||||
\(203\) | 5.55986e16 | 0.274690 | ||||||||
\(204\) | 9.01519e16 | − | 9.39256e16i | 0.429288 | − | 0.447257i | ||||
\(205\) | 1.67543e17 | 0.769084 | ||||||||
\(206\) | −1.36111e17 | − | 3.18301e17i | −0.602405 | − | 1.40875i | ||||
\(207\) | −1.69399e17 | − | 7.70163e14i | −0.722991 | − | 0.00328704i | ||||
\(208\) | −1.08191e16 | − | 2.37404e17i | −0.0445366 | − | 0.977268i | ||||
\(209\) | 5.10940e17i | 2.02896i | ||||||||
\(210\) | −4.77289e16 | − | 1.12322e17i | −0.182868 | − | 0.430348i | ||||
\(211\) | 2.00609e16i | 0.0741708i | 0.999312 | + | 0.0370854i | \(0.0118074\pi\) | ||||
−0.999312 | + | 0.0370854i | \(0.988193\pi\) | |||||||
\(212\) | −3.66683e17 | − | 3.50353e17i | −1.30849 | − | 1.25022i | ||||
\(213\) | −2.40088e14 | + | 1.05616e17i | −0.000827035 | + | 0.363817i | ||||
\(214\) | 2.82817e17 | − | 1.20937e17i | 0.940594 | − | 0.402213i | ||||
\(215\) | 6.69000e16 | 0.214851 | ||||||||
\(216\) | 3.01125e17 | + | 1.15192e17i | 0.933994 | + | 0.357288i | ||||
\(217\) | 1.51217e17 | 0.453056 | ||||||||
\(218\) | 2.92938e17 | − | 1.25265e17i | 0.847913 | − | 0.362581i | ||||
\(219\) | 7.94852e14 | − | 3.49660e17i | 0.00222308 | − | 0.977946i | ||||
\(220\) | −2.74419e17 | − | 2.62198e17i | −0.741728 | − | 0.708695i | ||||
\(221\) | − | 2.32144e17i | − | 0.606478i | ||||||
\(222\) | 1.51242e17 | + | 3.55923e17i | 0.381967 | + | 0.898895i | ||||
\(223\) | − | 1.85492e17i | − | 0.452937i | −0.974018 | − | 0.226469i | \(-0.927282\pi\) | ||
0.974018 | − | 0.226469i | \(-0.0727181\pi\) | |||||||
\(224\) | 3.12226e17 | − | 1.50678e17i | 0.737240 | − | 0.355787i | ||||
\(225\) | −2.95017e17 | − | 1.34128e15i | −0.673717 | − | 0.00306302i | ||||
\(226\) | 2.73202e17 | + | 6.38895e17i | 0.603491 | + | 1.41129i | ||||
\(227\) | 5.39829e16 | 0.115362 | 0.0576810 | − | 0.998335i | \(-0.481629\pi\) | ||||
0.0576810 | + | 0.998335i | \(0.481629\pi\) | |||||||
\(228\) | 3.78340e17 | − | 3.94177e17i | 0.782296 | − | 0.815042i | ||||
\(229\) | 3.99154e17 | 0.798682 | 0.399341 | − | 0.916802i | \(-0.369239\pi\) | ||||
0.399341 | + | 0.916802i | \(0.369239\pi\) | |||||||
\(230\) | −8.38448e16 | − | 1.96075e17i | −0.162374 | − | 0.379720i | ||||
\(231\) | −7.84261e17 | − | 1.78279e15i | −1.47018 | − | 0.00334204i | ||||
\(232\) | −1.73140e17 | − | 6.48825e16i | −0.314222 | − | 0.117752i | ||||
\(233\) | − | 1.94255e17i | − | 0.341353i | −0.985327 | − | 0.170676i | \(-0.945405\pi\) | ||
0.985327 | − | 0.170676i | \(-0.0545953\pi\) | |||||||
\(234\) | 5.29610e17 | − | 2.23627e17i | 0.901234 | − | 0.380545i | ||||
\(235\) | 4.09060e17i | 0.674183i | ||||||||
\(236\) | −3.80522e17 | + | 3.98258e17i | −0.607491 | + | 0.635806i | ||||
\(237\) | 4.44041e17 | + | 1.00940e15i | 0.686769 | + | 0.00156117i | ||||
\(238\) | 3.11375e17 | − | 1.33149e17i | 0.466613 | − | 0.199531i | ||||
\(239\) | 8.09646e17 | 1.17574 | 0.587870 | − | 0.808956i | \(-0.299967\pi\) | ||||
0.587870 | + | 0.808956i | \(0.299967\pi\) | |||||||
\(240\) | 1.75552e16 | + | 4.05480e17i | 0.0247071 | + | 0.570671i | ||||
\(241\) | −6.93186e17 | −0.945632 | −0.472816 | − | 0.881161i | \(-0.656762\pi\) | ||||
−0.472816 | + | 0.881161i | \(0.656762\pi\) | |||||||
\(242\) | −1.54732e18 | + | 6.61661e17i | −2.04628 | + | 0.875024i | ||||
\(243\) | −8.86436e15 | + | 7.79864e17i | −0.0113658 | + | 0.999935i | ||||
\(244\) | −5.07105e17 | + | 5.30742e17i | −0.630484 | + | 0.659872i | ||||
\(245\) | 1.56283e17i | 0.188437i | ||||||||
\(246\) | −1.05962e18 | + | 4.50263e17i | −1.23919 | + | 0.526567i | ||||
\(247\) | − | 9.74237e17i | − | 1.10519i | ||||||
\(248\) | −4.70905e17 | − | 1.76467e17i | −0.518257 | − | 0.194212i | ||||
\(249\) | 3.21773e15 | − | 1.41550e18i | 0.00343601 | − | 1.51152i | ||||
\(250\) | −3.62756e17 | − | 8.48321e17i | −0.375893 | − | 0.879044i | ||||
\(251\) | 8.72957e17 | 0.877890 | 0.438945 | − | 0.898514i | \(-0.355352\pi\) | ||||
0.438945 | + | 0.898514i | \(0.355352\pi\) | |||||||
\(252\) | 6.03717e17 | + | 5.82104e17i | 0.589290 | + | 0.568194i | ||||
\(253\) | −1.37038e18 | −1.29849 | ||||||||
\(254\) | 3.17204e17 | + | 7.41796e17i | 0.291800 | + | 0.682388i | ||||
\(255\) | −9.01225e14 | + | 3.96454e17i | −0.000804974 | + | 0.354113i | ||||
\(256\) | −1.14814e18 | + | 1.04865e17i | −0.995855 | + | 0.0909561i | ||||
\(257\) | − | 1.77093e17i | − | 0.149178i | −0.997214 | − | 0.0745888i | \(-0.976236\pi\) | ||
0.997214 | − | 0.0745888i | \(-0.0237644\pi\) | |||||||
\(258\) | −4.23105e17 | + | 1.79790e17i | −0.346179 | + | 0.147102i | ||||
\(259\) | 1.00595e18i | 0.799514i | ||||||||
\(260\) | 5.23250e17 | + | 4.99947e17i | 0.404026 | + | 0.386032i | ||||
\(261\) | 2.03349e15 | − | 4.47271e17i | 0.00152559 | − | 0.335557i | ||||
\(262\) | 1.03523e18 | − | 4.42681e17i | 0.754705 | − | 0.322724i | ||||
\(263\) | 1.17440e18 | 0.832049 | 0.416024 | − | 0.909353i | \(-0.363423\pi\) | ||||
0.416024 | + | 0.909353i | \(0.363423\pi\) | |||||||
\(264\) | 2.44019e18 | + | 9.20770e17i | 1.68033 | + | 0.634048i | ||||
\(265\) | 1.54439e18 | 1.03374 | ||||||||
\(266\) | 1.30675e18 | − | 5.58786e17i | 0.850314 | − | 0.363608i | ||||
\(267\) | −3.43233e17 | − | 7.80241e14i | −0.217147 | − | 0.000493622i | ||||
\(268\) | 1.93555e16 | + | 1.84935e16i | 0.0119068 | + | 0.0113765i | ||||
\(269\) | − | 8.77097e17i | − | 0.524694i | −0.964974 | − | 0.262347i | \(-0.915504\pi\) | ||
0.964974 | − | 0.262347i | \(-0.0844964\pi\) | |||||||
\(270\) | −9.05335e17 | + | 3.79854e17i | −0.526721 | + | 0.220998i | ||||
\(271\) | − | 1.92414e18i | − | 1.08885i | −0.838811 | − | 0.544423i | \(-0.816749\pi\) | ||
0.838811 | − | 0.544423i | \(-0.183251\pi\) | |||||||
\(272\) | −1.12504e18 | + | 5.12708e16i | −0.619299 | + | 0.0282230i | ||||
\(273\) | 1.49539e18 | + | 3.39935e15i | 0.800821 | + | 0.00182044i | ||||
\(274\) | −8.66184e17 | − | 2.02561e18i | −0.451316 | − | 1.05542i | ||||
\(275\) | −2.38659e18 | −1.20999 | ||||||||
\(276\) | 1.05721e18 | + | 1.01474e18i | 0.521608 | + | 0.500651i | ||||
\(277\) | −1.30490e18 | −0.626586 | −0.313293 | − | 0.949657i | \(-0.601432\pi\) | ||||
−0.313293 | + | 0.949657i | \(0.601432\pi\) | |||||||
\(278\) | −8.25299e16 | − | 1.93000e17i | −0.0385723 | − | 0.0902031i | ||||
\(279\) | 5.53069e15 | − | 1.21649e18i | 0.00251622 | − | 0.553446i | ||||
\(280\) | −3.70464e17 | + | 9.88588e17i | −0.164082 | + | 0.437855i | ||||
\(281\) | 2.09266e18i | 0.902406i | 0.892421 | + | 0.451203i | \(0.149005\pi\) | ||||
−0.892421 | + | 0.451203i | \(0.850995\pi\) | |||||||
\(282\) | −1.09933e18 | − | 2.58708e18i | −0.461592 | − | 1.08628i | ||||
\(283\) | 5.91643e17i | 0.241914i | 0.992658 | + | 0.120957i | \(0.0385963\pi\) | ||||
−0.992658 | + | 0.120957i | \(0.961404\pi\) | |||||||
\(284\) | 6.31160e17 | − | 6.60579e17i | 0.251334 | − | 0.263049i | ||||
\(285\) | −3.78217e15 | + | 1.66380e18i | −0.00146691 | + | 0.645304i | ||||
\(286\) | 4.27606e18 | − | 1.82851e18i | 1.61547 | − | 0.690800i | ||||
\(287\) | −2.99480e18 | −1.10218 | ||||||||
\(288\) | −1.20073e18 | − | 2.51726e18i | −0.430529 | − | 0.902577i | ||||
\(289\) | 1.76232e18 | 0.615673 | ||||||||
\(290\) | 5.17705e17 | − | 2.21379e17i | 0.176237 | − | 0.0753618i | ||||
\(291\) | −2.49653e15 | + | 1.09824e18i | −0.000828209 | + | 0.364334i | ||||
\(292\) | −2.08956e18 | + | 2.18695e18i | −0.675590 | + | 0.707080i | ||||
\(293\) | 4.65025e16i | 0.0146544i | 0.999973 | + | 0.00732722i | \(0.00233235\pi\) | ||||
−0.999973 | + | 0.00732722i | \(0.997668\pi\) | |||||||
\(294\) | −4.20001e17 | − | 9.88400e17i | −0.129016 | − | 0.303618i | ||||
\(295\) | − | 1.67737e18i | − | 0.502302i | ||||||
\(296\) | 1.17392e18 | − | 3.13262e18i | 0.342729 | − | 0.914576i | ||||
\(297\) | −4.30260e16 | + | 6.30904e18i | −0.0122478 | + | 1.79593i | ||||
\(298\) | 1.67277e18 | + | 3.91185e18i | 0.464316 | + | 1.08583i | ||||
\(299\) | 2.61298e18 | 0.707296 | ||||||||
\(300\) | 1.84119e18 | + | 1.76722e18i | 0.486059 | + | 0.466531i | ||||
\(301\) | −1.19582e18 | −0.307905 | ||||||||
\(302\) | −1.59600e18 | − | 3.73232e18i | −0.400849 | − | 0.937405i | ||||
\(303\) | 7.43837e18 | + | 1.69090e16i | 1.82246 | + | 0.00414284i | ||||
\(304\) | −4.72144e18 | + | 2.15168e17i | −1.12855 | + | 0.0514311i | ||||
\(305\) | − | 2.23536e18i | − | 0.521314i | ||||||
\(306\) | −1.05975e18 | − | 2.50977e18i | −0.241153 | − | 0.571115i | ||||
\(307\) | 6.88729e18i | 1.52936i | 0.644409 | + | 0.764681i | \(0.277103\pi\) | ||||
−0.644409 | + | 0.764681i | \(0.722897\pi\) | |||||||
\(308\) | 4.90518e18 | + | 4.68673e18i | 1.06298 | + | 1.01564i | ||||
\(309\) | −7.24415e18 | − | 1.64675e16i | −1.53214 | − | 0.00348289i | ||||
\(310\) | 1.40805e18 | − | 6.02106e17i | 0.290674 | − | 0.124297i | ||||
\(311\) | −7.36891e18 | −1.48491 | −0.742456 | − | 0.669895i | \(-0.766339\pi\) | ||||
−0.742456 | + | 0.669895i | \(0.766339\pi\) | |||||||
\(312\) | −4.65284e18 | − | 1.75568e18i | −0.915290 | − | 0.345371i | ||||
\(313\) | 1.56999e18 | 0.301519 | 0.150759 | − | 0.988570i | \(-0.451828\pi\) | ||||
0.150759 | + | 0.988570i | \(0.451828\pi\) | |||||||
\(314\) | 3.39665e18 | − | 1.45246e18i | 0.636911 | − | 0.272353i | ||||
\(315\) | −2.55381e18 | − | 1.16108e16i | −0.467584 | − | 0.00212585i | ||||
\(316\) | −2.77726e18 | − | 2.65358e18i | −0.496551 | − | 0.474438i | ||||
\(317\) | 4.82718e18i | 0.842847i | 0.906864 | + | 0.421423i | \(0.138469\pi\) | ||||
−0.906864 | + | 0.421423i | \(0.861531\pi\) | |||||||
\(318\) | −9.76738e18 | + | 4.15045e18i | −1.66561 | + | 0.707769i | ||||
\(319\) | − | 3.61827e18i | − | 0.602658i | ||||||
\(320\) | 2.30733e18 | − | 2.64624e18i | 0.375391 | − | 0.430531i | ||||
\(321\) | 1.46317e16 | − | 6.43657e18i | 0.00232545 | − | 1.02298i | ||||
\(322\) | 1.49871e18 | + | 3.50479e18i | 0.232701 | + | 0.544181i | ||||
\(323\) | −4.61682e18 | −0.700364 | ||||||||
\(324\) | 4.70490e18 | − | 4.83540e18i | 0.697369 | − | 0.716712i | ||||
\(325\) | 4.55063e18 | 0.659093 | ||||||||
\(326\) | 4.90473e18 | + | 1.14700e19i | 0.694198 | + | 1.62342i | ||||
\(327\) | 1.51553e16 | − | 6.66691e18i | 0.00209631 | − | 0.922181i | ||||
\(328\) | 9.32611e18 | + | 3.49487e18i | 1.26080 | + | 0.472474i | ||||
\(329\) | − | 7.31185e18i | − | 0.966180i | ||||||
\(330\) | −7.30974e18 | + | 3.10613e18i | −0.944164 | + | 0.401203i | ||||
\(331\) | 9.89988e18i | 1.25003i | 0.780613 | + | 0.625015i | \(0.214907\pi\) | ||||
−0.780613 | + | 0.625015i | \(0.785093\pi\) | |||||||
\(332\) | −8.45899e18 | + | 8.85327e18i | −1.04420 | + | 1.09287i | ||||
\(333\) | 8.09248e18 | + | 3.67920e16i | 0.976674 | + | 0.00444040i | ||||
\(334\) | 1.73089e18 | − | 7.40158e17i | 0.204255 | − | 0.0873426i | ||||
\(335\) | −8.15211e16 | −0.00940663 | ||||||||
\(336\) | −3.13795e17 | − | 7.24786e18i | −0.0354080 | − | 0.817835i | ||||
\(337\) | −7.81023e18 | −0.861866 | −0.430933 | − | 0.902384i | \(-0.641815\pi\) | ||||
−0.430933 | + | 0.902384i | \(0.641815\pi\) | |||||||
\(338\) | 3.66023e17 | − | 1.56517e17i | 0.0395033 | − | 0.0168922i | ||||
\(339\) | 1.45405e19 | + | 3.30536e16i | 1.53490 | + | 0.00348916i | ||||
\(340\) | 2.36920e18 | − | 2.47963e18i | 0.244630 | − | 0.256033i | ||||
\(341\) | − | 9.84096e18i | − | 0.993985i | ||||||
\(342\) | −4.44744e18 | − | 1.05328e19i | −0.439455 | − | 1.04075i | ||||
\(343\) | − | 1.12615e19i | − | 1.08865i | ||||||
\(344\) | 3.72391e18 | + | 1.39550e18i | 0.352217 | + | 0.131990i | ||||
\(345\) | −4.46243e18 | − | 1.01441e16i | −0.412979 | − | 0.000938790i | ||||
\(346\) | 2.90491e18 | + | 6.79327e18i | 0.263064 | + | 0.615189i | ||||
\(347\) | 8.38774e18 | 0.743317 | 0.371658 | − | 0.928370i | \(-0.378789\pi\) | ||||
0.371658 | + | 0.928370i | \(0.378789\pi\) | |||||||
\(348\) | −2.67925e18 | + | 2.79140e18i | −0.232364 | + | 0.242091i | ||||
\(349\) | 1.48009e19 | 1.25631 | 0.628156 | − | 0.778087i | \(-0.283810\pi\) | ||||
0.628156 | + | 0.778087i | \(0.283810\pi\) | |||||||
\(350\) | 2.61007e18 | + | 6.10378e18i | 0.216842 | + | 0.507094i | ||||
\(351\) | 8.20399e16 | − | 1.20298e19i | 0.00667147 | − | 0.978260i | ||||
\(352\) | −9.80591e18 | − | 2.03192e19i | −0.780581 | − | 1.61747i | ||||
\(353\) | − | 4.73327e17i | − | 0.0368851i | −0.999830 | − | 0.0184425i | \(-0.994129\pi\) | ||
0.999830 | − | 0.0184425i | \(-0.00587077\pi\) | |||||||
\(354\) | 4.50785e18 | + | 1.06084e19i | 0.343910 | + | 0.809333i | ||||
\(355\) | 2.78221e18i | 0.207815i | ||||||||
\(356\) | 2.14675e18 | + | 2.05115e18i | 0.157003 | + | 0.150011i | ||||
\(357\) | 1.61092e16 | − | 7.08653e18i | 0.00115362 | − | 0.507483i | ||||
\(358\) | −3.96671e18 | + | 1.69623e18i | −0.278168 | + | 0.118949i | ||||
\(359\) | 8.97571e18 | 0.616397 | 0.308198 | − | 0.951322i | \(-0.400274\pi\) | ||||
0.308198 | + | 0.951322i | \(0.400274\pi\) | |||||||
\(360\) | 7.93929e18 | + | 3.01641e18i | 0.533965 | + | 0.202872i | ||||
\(361\) | −4.19425e18 | −0.276281 | ||||||||
\(362\) | −1.31109e19 | + | 5.60644e18i | −0.845900 | + | 0.361721i | ||||
\(363\) | −8.00517e16 | + | 3.52152e19i | −0.00505907 | + | 2.22552i | ||||
\(364\) | −9.35296e18 | − | 8.93643e18i | −0.579013 | − | 0.553227i | ||||
\(365\) | − | 9.21096e18i | − | 0.558610i | ||||||
\(366\) | 6.00741e18 | + | 1.41374e19i | 0.356927 | + | 0.839967i | ||||
\(367\) | − | 1.41674e19i | − | 0.824699i | −0.911026 | − | 0.412350i | \(-0.864708\pi\) | ||
0.911026 | − | 0.412350i | \(-0.135292\pi\) | |||||||
\(368\) | −5.77096e17 | − | 1.26633e19i | −0.0329147 | − | 0.722248i | ||||
\(369\) | −1.09534e17 | + | 2.40921e19i | −0.00612138 | + | 1.34641i | ||||
\(370\) | 4.00541e18 | + | 9.36685e18i | 0.219348 | + | 0.512957i | ||||
\(371\) | −2.76055e19 | −1.48147 | ||||||||
\(372\) | −7.28702e18 | + | 7.59204e18i | −0.383246 | + | 0.399288i | ||||
\(373\) | −2.50966e19 | −1.29359 | −0.646797 | − | 0.762662i | \(-0.723892\pi\) | ||||
−0.646797 | + | 0.762662i | \(0.723892\pi\) | |||||||
\(374\) | −8.66515e18 | − | 2.02638e19i | −0.437763 | − | 1.02373i | ||||
\(375\) | −1.93068e19 | − | 4.38884e16i | −0.956038 | − | 0.00217328i | ||||
\(376\) | −8.53279e18 | + | 2.27698e19i | −0.414173 | + | 1.10523i | ||||
\(377\) | 6.89915e18i | 0.328273i | ||||||||
\(378\) | 1.61826e19 | − | 6.78979e18i | 0.754850 | − | 0.316715i | ||||
\(379\) | 8.39313e18i | 0.383822i | 0.981412 | + | 0.191911i | \(0.0614685\pi\) | ||||
−0.981412 | + | 0.191911i | \(0.938532\pi\) | |||||||
\(380\) | 9.94282e18 | − | 1.04063e19i | 0.445792 | − | 0.466571i | ||||
\(381\) | 1.68824e19 | + | 3.83772e16i | 0.742157 | + | 0.00168708i | ||||
\(382\) | −4.97316e18 | + | 2.12660e18i | −0.214367 | + | 0.0916666i | ||||
\(383\) | −3.20816e18 | −0.135602 | −0.0678008 | − | 0.997699i | \(-0.521598\pi\) | ||||
−0.0678008 | + | 0.997699i | \(0.521598\pi\) | |||||||
\(384\) | −7.48093e18 | + | 2.29368e19i | −0.310078 | + | 0.950711i | ||||
\(385\) | −2.06595e19 | −0.839778 | ||||||||
\(386\) | 2.67743e19 | − | 1.14491e19i | 1.06737 | − | 0.456422i | ||||
\(387\) | −4.37366e16 | + | 9.61996e18i | −0.00171007 | + | 0.376132i | ||||
\(388\) | 6.56306e18 | − | 6.86896e18i | 0.251691 | − | 0.263423i | ||||
\(389\) | 4.63372e19i | 1.74304i | 0.490359 | + | 0.871521i | \(0.336866\pi\) | ||||
−0.490359 | + | 0.871521i | \(0.663134\pi\) | |||||||
\(390\) | 1.39379e19 | − | 5.92261e18i | 0.514294 | − | 0.218539i | ||||
\(391\) | − | 1.23826e19i | − | 0.448216i | ||||||
\(392\) | −3.25998e18 | + | 8.69929e18i | −0.115763 | + | 0.308915i | ||||
\(393\) | 5.35583e16 | − | 2.35606e19i | 0.00186587 | − | 0.820809i | ||||
\(394\) | −9.49443e18 | − | 2.22032e19i | −0.324524 | − | 0.758915i | ||||
\(395\) | 1.16972e19 | 0.392287 | ||||||||
\(396\) | 3.78825e19 | − | 3.92890e19i | 1.24659 | − | 1.29288i | ||||
\(397\) | 1.91506e19 | 0.618378 | 0.309189 | − | 0.951001i | \(-0.399942\pi\) | ||||
0.309189 | + | 0.951001i | \(0.399942\pi\) | |||||||
\(398\) | −6.74656e18 | − | 1.57772e19i | −0.213776 | − | 0.499926i | ||||
\(399\) | 6.76053e16 | − | 2.97400e19i | 0.00210225 | − | 0.924792i | ||||
\(400\) | −1.00504e18 | − | 2.20537e19i | −0.0306715 | − | 0.673026i | ||||
\(401\) | 8.79139e18i | 0.263315i | 0.991295 | + | 0.131657i | \(0.0420298\pi\) | ||||
−0.991295 | + | 0.131657i | \(0.957970\pi\) | |||||||
\(402\) | 5.15576e17 | − | 2.19083e17i | 0.0151564 | − | 0.00644042i | ||||
\(403\) | 1.87643e19i | 0.541432i | ||||||||
\(404\) | −4.65234e19 | − | 4.44515e19i | −1.31768 | − | 1.25900i | ||||
\(405\) | −1.86809e17 | + | 2.05441e19i | −0.00519381 | + | 0.571182i | ||||
\(406\) | −9.25385e18 | + | 3.95710e18i | −0.252567 | + | 0.108002i | ||||
\(407\) | 6.54655e19 | 1.75410 | ||||||||
\(408\) | −8.32001e18 | + | 2.20494e19i | −0.218863 | + | 0.580023i | ||||
\(409\) | 4.62736e19 | 1.19511 | 0.597555 | − | 0.801828i | \(-0.296139\pi\) | ||||
0.597555 | + | 0.801828i | \(0.296139\pi\) | |||||||
\(410\) | −2.78860e19 | + | 1.19245e19i | −0.707144 | + | 0.302386i | ||||
\(411\) | −4.61005e19 | − | 1.04796e17i | −1.14787 | − | 0.00260935i | ||||
\(412\) | 4.53087e19 | + | 4.32909e19i | 1.10778 | + | 1.05844i | ||||
\(413\) | 2.99826e19i | 0.719854i | ||||||||
\(414\) | 2.82496e19 | − | 1.19284e19i | 0.666055 | − | 0.281241i | ||||
\(415\) | − | 3.72880e19i | − | 0.863392i | ||||||
\(416\) | 1.86974e19 | + | 3.87437e19i | 0.425189 | + | 0.881051i | ||||
\(417\) | −4.39245e18 | − | 9.98498e15i | −0.0981039 | − | 0.000223011i | ||||
\(418\) | −3.63650e19 | − | 8.50412e19i | −0.797740 | − | 1.86555i | ||||
\(419\) | 2.29738e19 | 0.495025 | 0.247512 | − | 0.968885i | \(-0.420387\pi\) | ||||
0.247512 | + | 0.968885i | \(0.420387\pi\) | |||||||
\(420\) | 1.59383e19 | + | 1.52979e19i | 0.337343 | + | 0.323789i | ||||
\(421\) | −1.17094e19 | −0.243454 | −0.121727 | − | 0.992564i | \(-0.538843\pi\) | ||||
−0.121727 | + | 0.992564i | \(0.538843\pi\) | |||||||
\(422\) | −1.42779e18 | − | 3.33895e18i | −0.0291622 | − | 0.0681973i | ||||
\(423\) | −5.88212e19 | − | 2.67428e17i | −1.18027 | − | 0.00536604i | ||||
\(424\) | 8.59665e19 | + | 3.22151e19i | 1.69467 | + | 0.635062i | ||||
\(425\) | − | 2.15650e19i | − | 0.417670i | ||||||
\(426\) | −7.47702e18 | − | 1.75959e19i | −0.142284 | − | 0.334842i | ||||
\(427\) | 3.99566e19i | 0.747101i | ||||||||
\(428\) | −3.84648e19 | + | 4.02577e19i | −0.706700 | + | 0.739640i | ||||
\(429\) | 2.21224e17 | − | 9.73179e19i | 0.00399396 | − | 1.75697i | ||||
\(430\) | −1.11349e19 | + | 4.76145e18i | −0.197548 | + | 0.0844745i | ||||
\(431\) | −3.55472e19 | −0.619763 | −0.309881 | − | 0.950775i | \(-0.600289\pi\) | ||||
−0.309881 | + | 0.950775i | \(0.600289\pi\) | |||||||
\(432\) | −5.83180e19 | + | 2.25928e18i | −0.999250 | + | 0.0387117i | ||||
\(433\) | −2.96535e19 | −0.499364 | −0.249682 | − | 0.968328i | \(-0.580326\pi\) | ||||
−0.249682 | + | 0.968328i | \(0.580326\pi\) | |||||||
\(434\) | −2.51686e19 | + | 1.07625e19i | −0.416568 | + | 0.178131i | ||||
\(435\) | 2.67838e16 | − | 1.17823e19i | 0.000435715 | − | 0.191674i | ||||
\(436\) | −3.98413e19 | + | 4.16983e19i | −0.637066 | + | 0.666760i | ||||
\(437\) | − | 5.19662e19i | − | 0.816790i | ||||||
\(438\) | 2.47539e19 | + | 5.82542e19i | 0.382462 | + | 0.900059i | ||||
\(439\) | − | 3.88171e19i | − | 0.589575i | −0.955563 | − | 0.294788i | \(-0.904751\pi\) | ||
0.955563 | − | 0.294788i | \(-0.0952489\pi\) | |||||||
\(440\) | 6.43358e19 | + | 2.41093e19i | 0.960634 | + | 0.359989i | ||||
\(441\) | −2.24728e19 | − | 1.02172e17i | −0.329889 | − | 0.00149983i | ||||
\(442\) | 1.65223e19 | + | 3.86381e19i | 0.238453 | + | 0.557634i | ||||
\(443\) | 6.56039e19 | 0.930897 | 0.465449 | − | 0.885075i | \(-0.345893\pi\) | ||||
0.465449 | + | 0.885075i | \(0.345893\pi\) | |||||||
\(444\) | −5.05049e19 | − | 4.84758e19i | −0.704630 | − | 0.676320i | ||||
\(445\) | −9.04165e18 | −0.124036 | ||||||||
\(446\) | 1.32019e19 | + | 3.08733e19i | 0.178084 | + | 0.416459i | ||||
\(447\) | 8.90289e19 | + | 2.02382e17i | 1.18093 | + | 0.00268451i | ||||
\(448\) | −4.12429e19 | + | 4.73009e19i | −0.537978 | + | 0.616999i | ||||
\(449\) | − | 8.31675e18i | − | 0.106686i | −0.998576 | − | 0.0533428i | \(-0.983012\pi\) | ||
0.998576 | − | 0.0533428i | \(-0.0169876\pi\) | |||||||
\(450\) | 4.91982e19 | − | 2.07739e19i | 0.620662 | − | 0.262074i | ||||
\(451\) | 1.94897e20i | 2.41814i | ||||||||
\(452\) | −9.09438e19 | − | 8.68936e19i | −1.10977 | − | 1.06035i | ||||
\(453\) | −8.49432e19 | − | 1.93094e17i | −1.01951 | − | 0.00231757i | ||||
\(454\) | −8.98495e18 | + | 3.84211e18i | −0.106071 | + | 0.0453577i | ||||
\(455\) | 3.93926e19 | 0.457434 | ||||||||
\(456\) | −3.49165e19 | + | 9.25345e19i | −0.398837 | + | 1.05698i | ||||
\(457\) | 1.12225e20 | 1.26101 | 0.630506 | − | 0.776184i | \(-0.282847\pi\) | ||||
0.630506 | + | 0.776184i | \(0.282847\pi\) | |||||||
\(458\) | −6.64353e19 | + | 2.84088e19i | −0.734358 | + | 0.314023i | ||||
\(459\) | −5.70080e19 | − | 3.88779e17i | −0.619927 | − | 0.00422774i | ||||
\(460\) | 2.79104e19 | + | 2.66674e19i | 0.298594 | + | 0.285297i | ||||
\(461\) | − | 9.12993e19i | − | 0.960972i | −0.877002 | − | 0.480486i | \(-0.840460\pi\) | ||
0.877002 | − | 0.480486i | \(-0.159540\pi\) | |||||||
\(462\) | 1.30660e20 | − | 5.55212e19i | 1.35309 | − | 0.574969i | ||||
\(463\) | − | 8.34781e19i | − | 0.850580i | −0.905057 | − | 0.425290i | \(-0.860172\pi\) | ||
0.905057 | − | 0.425290i | \(-0.139828\pi\) | |||||||
\(464\) | 3.34353e19 | − | 1.52373e18i | 0.335213 | − | 0.0152765i | ||||
\(465\) | 7.28464e16 | − | 3.20456e19i | 0.000718640 | − | 0.316134i | ||||
\(466\) | 1.38257e19 | + | 3.23320e19i | 0.134212 | + | 0.313861i | ||||
\(467\) | 5.10110e19 | 0.487290 | 0.243645 | − | 0.969864i | \(-0.421657\pi\) | ||||
0.243645 | + | 0.969864i | \(0.421657\pi\) | |||||||
\(468\) | −7.22325e19 | + | 7.49144e19i | −0.679029 | + | 0.704241i | ||||
\(469\) | 1.45717e18 | 0.0134808 | ||||||||
\(470\) | −2.91139e19 | − | 6.80842e19i | −0.265073 | − | 0.619887i | ||||
\(471\) | 1.75728e17 | − | 7.73037e19i | 0.00157465 | − | 0.692697i | ||||
\(472\) | 3.49892e19 | − | 9.33691e19i | 0.308581 | − | 0.823452i | ||||
\(473\) | 7.78223e19i | 0.675531i | ||||||||
\(474\) | −7.39783e19 | + | 3.14356e19i | −0.632072 | + | 0.268586i | ||||
\(475\) | − | 9.05019e19i | − | 0.761124i | ||||||
\(476\) | −4.23489e19 | + | 4.43228e19i | −0.350582 | + | 0.366923i | ||||
\(477\) | −1.00966e18 | + | 2.22077e20i | −0.00822787 | + | 1.80974i | ||||
\(478\) | −1.34758e20 | + | 5.76247e19i | −1.08105 | + | 0.462274i | ||||
\(479\) | −2.01495e20 | −1.59129 | −0.795643 | − | 0.605766i | \(-0.792867\pi\) | ||||
−0.795643 | + | 0.605766i | \(0.792867\pi\) | |||||||
\(480\) | −3.17810e19 | − | 6.62389e19i | −0.247092 | − | 0.514996i | ||||
\(481\) | −1.24826e20 | −0.955473 | ||||||||
\(482\) | 1.15374e20 | − | 4.93359e19i | 0.869474 | − | 0.371801i | ||||
\(483\) | 7.97649e19 | + | 1.81323e17i | 0.591845 | + | 0.00134539i | ||||
\(484\) | 2.10445e20 | − | 2.20254e20i | 1.53744 | − | 1.60910i | ||||
\(485\) | 2.89305e19i | 0.208110i | ||||||||
\(486\) | −5.40296e19 | − | 1.30432e20i | −0.382701 | − | 0.923872i | ||||
\(487\) | 4.30763e19i | 0.300450i | 0.988652 | + | 0.150225i | \(0.0479997\pi\) | ||||
−0.988652 | + | 0.150225i | \(0.952000\pi\) | |||||||
\(488\) | 4.66286e19 | − | 1.24429e20i | 0.320261 | − | 0.854619i | ||||
\(489\) | 2.61042e20 | + | 5.93405e17i | 1.76561 | + | 0.00401360i | ||||
\(490\) | −1.11230e19 | − | 2.60118e19i | −0.0740889 | − | 0.173260i | ||||
\(491\) | −8.13094e19 | −0.533372 | −0.266686 | − | 0.963784i | \(-0.585929\pi\) | ||||
−0.266686 | + | 0.963784i | \(0.585929\pi\) | |||||||
\(492\) | 1.44317e20 | − | 1.50358e20i | 0.932351 | − | 0.971378i | ||||
\(493\) | 3.26944e19 | 0.208028 | ||||||||
\(494\) | 6.93390e19 | + | 1.62153e20i | 0.434536 | + | 1.01618i | ||||
\(495\) | −7.55613e17 | + | 1.66198e20i | −0.00466402 | + | 1.02586i | ||||
\(496\) | 9.09373e19 | − | 4.14424e18i | 0.552878 | − | 0.0251960i | ||||
\(497\) | − | 4.97313e19i | − | 0.297822i | ||||||
\(498\) | 1.00209e20 | + | 2.35825e20i | 0.591136 | + | 1.39114i | ||||
\(499\) | − | 2.44995e20i | − | 1.42365i | −0.702358 | − | 0.711823i | \(-0.747870\pi\) | ||
0.702358 | − | 0.711823i | \(-0.252130\pi\) | |||||||
\(500\) | 1.20755e20 | + | 1.15377e20i | 0.691239 | + | 0.660455i | ||||
\(501\) | 8.95489e16 | − | 3.93931e19i | 0.000504983 | − | 0.222145i | ||||
\(502\) | −1.45295e20 | + | 6.21307e19i | −0.807187 | + | 0.345166i | ||||
\(503\) | −6.31286e19 | −0.345514 | −0.172757 | − | 0.984964i | \(-0.555268\pi\) | ||||
−0.172757 | + | 0.984964i | \(0.555268\pi\) | |||||||
\(504\) | −1.41913e20 | − | 5.39176e19i | −0.765231 | − | 0.290738i | ||||
\(505\) | 1.95946e20 | 1.04100 | ||||||||
\(506\) | 2.28087e20 | − | 9.75336e19i | 1.19391 | − | 0.510535i | ||||
\(507\) | 1.89364e16 | − | 8.33024e18i | 9.76648e−5 | − | 0.0429633i | ||||
\(508\) | −1.05591e20 | − | 1.00889e20i | −0.536598 | − | 0.512701i | ||||
\(509\) | 2.80524e20i | 1.40471i | 0.711827 | + | 0.702354i | \(0.247868\pi\) | ||||
−0.711827 | + | 0.702354i | \(0.752132\pi\) | |||||||
\(510\) | −2.80667e19 | − | 6.60502e19i | −0.138489 | − | 0.325910i | ||||
\(511\) | 1.64644e20i | 0.800550i | ||||||||
\(512\) | 1.83634e20 | − | 9.91702e19i | 0.879890 | − | 0.475178i | ||||
\(513\) | −2.39245e20 | − | 1.63159e18i | −1.12970 | − | 0.00770425i | ||||
\(514\) | 1.26042e19 | + | 2.94755e19i | 0.0586532 | + | 0.137163i | ||||
\(515\) | −1.90830e20 | −0.875170 | ||||||||
\(516\) | 5.76257e19 | − | 6.00378e19i | 0.260461 | − | 0.271364i | ||||
\(517\) | −4.75844e20 | −2.11976 | ||||||||
\(518\) | −7.15958e19 | − | 1.67430e20i | −0.314351 | − | 0.735124i | ||||
\(519\) | 1.54607e20 | + | 3.51454e17i | 0.669072 | + | 0.00152094i | ||||
\(520\) | −1.22672e20 | − | 4.59704e19i | −0.523266 | − | 0.196089i | ||||
\(521\) | 1.83656e20i | 0.772187i | 0.922460 | + | 0.386093i | \(0.126176\pi\) | ||||
−0.922460 | + | 0.386093i | \(0.873824\pi\) | |||||||
\(522\) | 3.14950e19 | + | 7.45887e19i | 0.130531 | + | 0.309132i | ||||
\(523\) | 1.34378e20i | 0.548993i | 0.961588 | + | 0.274496i | \(0.0885111\pi\) | ||||
−0.961588 | + | 0.274496i | \(0.911489\pi\) | |||||||
\(524\) | −1.40798e20 | + | 1.47360e20i | −0.567036 | + | 0.593465i | ||||
\(525\) | 1.38915e20 | + | 3.15783e17i | 0.551510 | + | 0.00125370i | ||||
\(526\) | −1.95468e20 | + | 8.35853e19i | −0.765038 | + | 0.327142i | ||||
\(527\) | 8.89222e19 | 0.343108 | ||||||||
\(528\) | −4.71680e20 | + | 2.04213e19i | −1.79429 | + | 0.0776836i | ||||
\(529\) | −1.27258e20 | −0.477274 | ||||||||
\(530\) | −2.57048e20 | + | 1.09918e20i | −0.950487 | + | 0.406443i | ||||
\(531\) | 2.41200e20 | + | 1.09660e18i | 0.879363 | + | 0.00399798i | ||||
\(532\) | −1.77725e20 | + | 1.86009e20i | −0.638870 | + | 0.668648i | ||||
\(533\) | − | 3.71620e20i | − | 1.31718i | ||||||
\(534\) | 5.71833e19 | − | 2.42989e19i | 0.199853 | − | 0.0849234i | ||||
\(535\) | − | 1.69556e20i | − | 0.584333i | ||||||
\(536\) | −4.53778e18 | − | 1.70049e18i | −0.0154208 | − | 0.00577881i | ||||
\(537\) | −2.05220e17 | + | 9.02775e19i | −0.000687721 | + | 0.302533i | ||||
\(538\) | 6.24253e19 | + | 1.45985e20i | 0.206297 | + | 0.482436i | ||||
\(539\) | −1.81798e20 | −0.592479 | ||||||||
\(540\) | 1.23649e20 | − | 1.27658e20i | 0.397409 | − | 0.410294i | ||||
\(541\) | 3.84843e20 | 1.21984 | 0.609921 | − | 0.792462i | \(-0.291201\pi\) | ||||
0.609921 | + | 0.792462i | \(0.291201\pi\) | |||||||
\(542\) | 1.36946e20 | + | 3.20255e20i | 0.428109 | + | 1.00115i | ||||
\(543\) | −6.78302e17 | + | 2.98389e20i | −0.00209134 | + | 0.919992i | ||||
\(544\) | 1.83603e20 | − | 8.86054e19i | 0.558326 | − | 0.269444i | ||||
\(545\) | − | 1.75624e20i | − | 0.526756i | ||||||
\(546\) | −2.49136e20 | + | 1.05865e20i | −0.737041 | + | 0.313190i | ||||
\(547\) | 4.54531e18i | 0.0132635i | 0.999978 | + | 0.00663176i | \(0.00211097\pi\) | ||||
−0.999978 | + | 0.00663176i | \(0.997889\pi\) | |||||||
\(548\) | 2.88336e20 | + | 2.75495e20i | 0.829937 | + | 0.792976i | ||||
\(549\) | 3.21437e20 | + | 1.46140e18i | 0.912647 | + | 0.00414930i | ||||
\(550\) | 3.97225e20 | − | 1.69860e20i | 1.11254 | − | 0.475741i | ||||
\(551\) | 1.37209e20 | 0.379092 | ||||||||
\(552\) | −2.48184e20 | − | 9.36488e19i | −0.676443 | − | 0.255246i | ||||
\(553\) | −2.09085e20 | −0.562191 | ||||||||
\(554\) | 2.17189e20 | − | 9.28735e19i | 0.576122 | − | 0.246359i | ||||
\(555\) | 2.13178e20 | + | 4.84599e17i | 0.557886 | + | 0.00126819i | ||||
\(556\) | 2.74727e19 | + | 2.62492e19i | 0.0709316 | + | 0.0677727i | ||||
\(557\) | − | 7.56098e20i | − | 1.92603i | −0.269441 | − | 0.963017i | \(-0.586839\pi\) | ||
0.269441 | − | 0.963017i | \(-0.413161\pi\) | |||||||
\(558\) | 8.56599e19 | + | 2.02866e20i | 0.215289 | + | 0.509862i | ||||
\(559\) | − | 1.48388e20i | − | 0.367968i | ||||||
\(560\) | −8.70016e18 | − | 1.90908e20i | −0.0212871 | − | 0.467104i | ||||
\(561\) | −4.61181e20 | − | 1.04836e18i | −1.11340 | − | 0.00253099i | ||||
\(562\) | −1.48940e20 | − | 3.48304e20i | −0.354805 | − | 0.829729i | ||||
\(563\) | −2.00620e20 | −0.471587 | −0.235794 | − | 0.971803i | \(-0.575769\pi\) | ||||
−0.235794 | + | 0.971803i | \(0.575769\pi\) | |||||||
\(564\) | 3.67101e20 | + | 3.52352e20i | 0.851516 | + | 0.817304i | ||||
\(565\) | 3.83035e20 | 0.876748 | ||||||||
\(566\) | −4.21088e19 | − | 9.84733e19i | −0.0951150 | − | 0.222431i | ||||
\(567\) | 3.33917e18 | − | 3.67221e20i | 0.00744330 | − | 0.818567i | ||||
\(568\) | −5.80355e19 | + | 1.54868e20i | −0.127668 | + | 0.340683i | ||||
\(569\) | − | 4.97779e20i | − | 1.08067i | −0.841449 | − | 0.540337i | \(-0.818297\pi\) | ||
0.841449 | − | 0.540337i | \(-0.181703\pi\) | |||||||
\(570\) | −1.17787e20 | − | 2.77193e20i | −0.252370 | − | 0.593910i | ||||
\(571\) | − | 6.85715e20i | − | 1.45002i | −0.688741 | − | 0.725008i | \(-0.741836\pi\) | ||
0.688741 | − | 0.725008i | \(-0.258164\pi\) | |||||||
\(572\) | −5.81570e20 | + | 6.08677e20i | −1.21376 | + | 1.27033i | ||||
\(573\) | −2.57289e17 | + | 1.13183e20i | −0.000529983 | + | 0.233143i | ||||
\(574\) | 4.98456e20 | − | 2.13148e20i | 1.01342 | − | 0.433353i | ||||
\(575\) | 2.42733e20 | 0.487101 | ||||||||
\(576\) | 3.79010e20 | + | 3.33515e20i | 0.750728 | + | 0.660612i | ||||
\(577\) | 1.82923e20 | 0.357643 | 0.178822 | − | 0.983881i | \(-0.442771\pi\) | ||||
0.178822 | + | 0.983881i | \(0.442771\pi\) | |||||||
\(578\) | −2.93321e20 | + | 1.25429e20i | −0.566088 | + | 0.242068i | ||||
\(579\) | 1.38518e18 | − | 6.09350e20i | 0.00263887 | − | 1.16085i | ||||
\(580\) | −7.04110e19 | + | 7.36929e19i | −0.132413 | + | 0.138585i | ||||
\(581\) | 6.66513e20i | 1.23734i | ||||||||
\(582\) | −7.77491e19 | − | 1.82969e20i | −0.142486 | − | 0.335317i | ||||
\(583\) | 1.79653e21i | 3.25027i | ||||||||
\(584\) | 1.92136e20 | − | 5.12717e20i | 0.343173 | − | 0.915760i | ||||
\(585\) | 1.44077e18 | − | 3.16899e20i | 0.00254053 | − | 0.558794i | ||||
\(586\) | −3.30970e18 | − | 7.73990e18i | −0.00576178 | − | 0.0134742i | ||||
\(587\) | −9.63267e18 | −0.0165562 | −0.00827811 | − | 0.999966i | \(-0.502635\pi\) | ||||
−0.00827811 | + | 0.999966i | \(0.502635\pi\) | |||||||
\(588\) | 1.40252e20 | + | 1.34617e20i | 0.238002 | + | 0.228439i | ||||
\(589\) | 3.73179e20 | 0.625249 | ||||||||
\(590\) | 1.19383e20 | + | 2.79183e20i | 0.197494 | + | 0.461848i | ||||
\(591\) | −5.05317e20 | − | 1.14869e18i | −0.825388 | − | 0.00187628i | ||||
\(592\) | 2.75689e19 | + | 6.04946e20i | 0.0444638 | + | 0.975672i | ||||
\(593\) | 4.90363e20i | 0.780921i | 0.920620 | + | 0.390461i | \(0.127684\pi\) | ||||
−0.920620 | + | 0.390461i | \(0.872316\pi\) | |||||||
\(594\) | −4.41870e20 | − | 1.05314e21i | −0.694858 | − | 1.65611i | ||||
\(595\) | − | 1.86678e20i | − | 0.289878i | ||||||
\(596\) | −5.56833e20 | − | 5.32035e20i | −0.853843 | − | 0.815818i | ||||
\(597\) | −3.59069e20 | − | 8.16240e17i | −0.543714 | − | 0.00123598i | ||||
\(598\) | −4.34905e20 | + | 1.85972e20i | −0.650333 | + | 0.278093i | ||||
\(599\) | −4.47062e19 | −0.0660187 | −0.0330094 | − | 0.999455i | \(-0.510509\pi\) | ||||
−0.0330094 | + | 0.999455i | \(0.510509\pi\) | |||||||
\(600\) | −4.32226e20 | − | 1.63094e20i | −0.630343 | − | 0.237851i | ||||
\(601\) | −4.07151e20 | −0.586404 | −0.293202 | − | 0.956051i | \(-0.594721\pi\) | ||||
−0.293202 | + | 0.956051i | \(0.594721\pi\) | |||||||
\(602\) | 1.99033e20 | − | 8.51097e19i | 0.283108 | − | 0.121061i | ||||
\(603\) | 5.32954e16 | − | 1.17224e19i | 7.48704e−5 | − | 0.0164679i | ||||
\(604\) | 5.31279e20 | + | 5.07619e20i | 0.737132 | + | 0.704304i | ||||
\(605\) | 9.27661e20i | 1.27123i | ||||||||
\(606\) | −1.23925e21 | + | 5.26594e20i | −1.67731 | + | 0.712740i | ||||
\(607\) | 3.14156e20i | 0.419982i | 0.977703 | + | 0.209991i | \(0.0673434\pi\) | ||||
−0.977703 | + | 0.209991i | \(0.932657\pi\) | |||||||
\(608\) | 7.70525e20 | − | 3.71850e20i | 1.01744 | − | 0.491011i | ||||
\(609\) | −4.78754e17 | + | 2.10607e20i | −0.000624428 | + | 0.274690i | ||||
\(610\) | 1.59097e20 | + | 3.72055e20i | 0.204969 | + | 0.479329i | ||||
\(611\) | 9.07317e20 | 1.15465 | ||||||||
\(612\) | 3.55012e20 | + | 3.42303e20i | 0.446280 | + | 0.430304i | ||||
\(613\) | −7.10056e20 | −0.881736 | −0.440868 | − | 0.897572i | \(-0.645329\pi\) | ||||
−0.440868 | + | 0.897572i | \(0.645329\pi\) | |||||||
\(614\) | −4.90186e20 | − | 1.14632e21i | −0.601310 | − | 1.40619i | ||||
\(615\) | −1.44270e18 | + | 6.34652e20i | −0.00174829 | + | 0.769082i | ||||
\(616\) | −1.14999e21 | − | 4.30947e20i | −1.37669 | − | 0.515904i | ||||
\(617\) | 3.85781e20i | 0.456250i | 0.973632 | + | 0.228125i | \(0.0732594\pi\) | ||||
−0.973632 | + | 0.228125i | \(0.926741\pi\) | |||||||
\(618\) | 1.20689e21 | − | 5.12845e20i | 1.41012 | − | 0.599201i | ||||
\(619\) | − | 1.00365e21i | − | 1.15851i | −0.815146 | − | 0.579256i | \(-0.803343\pi\) | ||
0.815146 | − | 0.579256i | \(-0.196657\pi\) | |||||||
\(620\) | −1.91504e20 | + | 2.00430e20i | −0.218393 | + | 0.228573i | ||||
\(621\) | 4.37604e18 | − | 6.41673e20i | 0.00493054 | − | 0.722981i | ||||
\(622\) | 1.22649e21 | − | 5.24465e20i | 1.36532 | − | 0.583833i | ||||
\(623\) | 1.61617e20 | 0.177757 | ||||||||
\(624\) | 8.99378e20 | − | 3.89384e19i | 0.977367 | − | 0.0423149i | ||||
\(625\) | 1.18864e20 | 0.127629 | ||||||||
\(626\) | −2.61310e20 | + | 1.11740e20i | −0.277235 | + | 0.118550i | ||||
\(627\) | −1.93543e21 | − | 4.39966e18i | −2.02895 | − | 0.00461224i | ||||
\(628\) | −4.61965e20 | + | 4.83497e20i | −0.478533 | + | 0.500837i | ||||
\(629\) | 5.91541e20i | 0.605487i | ||||||||
\(630\) | 4.25884e20 | − | 1.79829e20i | 0.430762 | − | 0.181889i | ||||
\(631\) | 9.15492e20i | 0.915028i | 0.889202 | + | 0.457514i | \(0.151260\pi\) | ||||
−0.889202 | + | 0.457514i | \(0.848740\pi\) | |||||||
\(632\) | 6.51112e20 | + | 2.43998e20i | 0.643098 | + | 0.240995i | ||||
\(633\) | −7.59905e19 | − | 1.72743e17i | −0.0741706 | − | 0.000168606i | ||||
\(634\) | −3.43563e20 | − | 8.03438e20i | −0.331388 | − | 0.774966i | ||||
\(635\) | 4.44726e20 | 0.423925 | ||||||||
\(636\) | 1.33029e21 | − | 1.38597e21i | 1.25319 | − | 1.30565i | ||||
\(637\) | 3.46643e20 | 0.322728 | ||||||||
\(638\) | 2.57522e20 | + | 6.02227e20i | 0.236951 | + | 0.554122i | ||||
\(639\) | −4.00071e20 | − | 1.81890e18i | −0.363815 | − | 0.00165407i | ||||
\(640\) | −1.95693e20 | + | 6.04660e20i | −0.175884 | + | 0.543452i | ||||
\(641\) | 9.31832e20i | 0.827756i | 0.910332 | + | 0.413878i | \(0.135826\pi\) | ||||
−0.910332 | + | 0.413878i | \(0.864174\pi\) | |||||||
\(642\) | 4.55672e20 | + | 1.07235e21i | 0.400074 | + | 0.941506i | ||||
\(643\) | − | 1.63782e21i | − | 1.42129i | −0.703548 | − | 0.710647i | \(-0.748402\pi\) | ||
0.703548 | − | 0.710647i | \(-0.251598\pi\) | |||||||
\(644\) | −4.98891e20 | − | 4.76673e20i | −0.427919 | − | 0.408862i | ||||
\(645\) | −5.76069e17 | + | 2.53416e20i | −0.000488401 | + | 0.214851i | ||||
\(646\) | 7.68426e20 | − | 3.28591e20i | 0.643959 | − | 0.275367i | ||||
\(647\) | −1.88450e21 | −1.56104 | −0.780519 | − | 0.625132i | \(-0.785045\pi\) | ||||
−0.780519 | + | 0.625132i | \(0.785045\pi\) | |||||||
\(648\) | −4.38938e20 | + | 1.13967e21i | −0.359411 | + | 0.933180i | ||||
\(649\) | 1.95123e21 | 1.57933 | ||||||||
\(650\) | −7.57410e20 | + | 3.23881e20i | −0.606011 | + | 0.259140i | ||||
\(651\) | −1.30211e18 | + | 5.72807e20i | −0.00102989 | + | 0.453055i | ||||
\(652\) | −1.63269e21 | − | 1.55998e21i | −1.27658 | − | 1.21973i | ||||
\(653\) | − | 1.76776e21i | − | 1.36639i | −0.730238 | − | 0.683193i | \(-0.760591\pi\) | ||
0.730238 | − | 0.683193i | \(-0.239409\pi\) | |||||||
\(654\) | 4.71979e20 | + | 1.11072e21i | 0.360653 | + | 0.848735i | ||||
\(655\) | − | 6.20648e20i | − | 0.468852i | ||||||
\(656\) | −1.80098e21 | + | 8.20753e19i | −1.34503 | + | 0.0612962i | ||||
\(657\) | 1.32450e21 | + | 6.02177e18i | 0.977939 | + | 0.00444615i | ||||
\(658\) | 5.20403e20 | + | 1.21699e21i | 0.379880 | + | 0.888366i | ||||
\(659\) | 2.02766e21 | 1.46337 | 0.731685 | − | 0.681643i | \(-0.238734\pi\) | ||||
0.731685 | + | 0.681643i | \(0.238734\pi\) | |||||||
\(660\) | 9.95566e20 | − | 1.03724e21i | 0.710380 | − | 0.740115i | ||||
\(661\) | −2.58366e21 | −1.82274 | −0.911368 | − | 0.411593i | \(-0.864972\pi\) | ||||
−0.911368 | + | 0.411593i | \(0.864972\pi\) | |||||||
\(662\) | −7.04601e20 | − | 1.64774e21i | −0.491483 | − | 1.14936i | ||||
\(663\) | 8.79357e20 | + | 1.99897e18i | 0.606476 | + | 0.00137865i | ||||
\(664\) | 7.77808e20 | − | 2.07559e21i | 0.530410 | − | 1.41541i | ||||
\(665\) | − | 7.83429e20i | − | 0.528248i | ||||||
\(666\) | −1.34953e21 | + | 5.69839e20i | −0.899761 | + | 0.379923i | ||||
\(667\) | 3.68004e20i | 0.242610i | ||||||||
\(668\) | −2.35412e20 | + | 2.46385e20i | −0.153464 | + | 0.160617i | ||||
\(669\) | 7.02640e20 | + | 1.59725e18i | 0.452936 | + | 0.00102962i | ||||
\(670\) | 1.35684e19 | − | 5.80208e18i | 0.00864905 | − | 0.00369847i | ||||
\(671\) | 2.60032e21 | 1.63911 | ||||||||
\(672\) | 5.68078e20 | + | 1.18400e21i | 0.354110 | + | 0.738047i | ||||
\(673\) | 3.09395e19 | 0.0190722 | 0.00953608 | − | 0.999955i | \(-0.496965\pi\) | ||||
0.00953608 | + | 0.999955i | \(0.496965\pi\) | |||||||
\(674\) | 1.29994e21 | − | 5.55875e20i | 0.792454 | − | 0.338866i | ||||
\(675\) | 7.62111e18 | − | 1.11751e21i | 0.00459451 | − | 0.673709i | ||||
\(676\) | −4.97813e19 | + | 5.21016e19i | −0.0296801 | + | 0.0310636i | ||||
\(677\) | 4.11420e20i | 0.242589i | 0.992617 | + | 0.121294i | \(0.0387045\pi\) | ||||
−0.992617 | + | 0.121294i | \(0.961296\pi\) | |||||||
\(678\) | −2.42248e21 | + | 1.02938e21i | −1.41266 | + | 0.600281i | ||||
\(679\) | − | 5.17126e20i | − | 0.298245i | ||||||
\(680\) | −2.17849e20 | + | 5.81334e20i | −0.124262 | + | 0.331595i | ||||
\(681\) | −4.64842e17 | + | 2.04487e20i | −0.000262242 | + | 0.115362i | ||||
\(682\) | 7.00407e20 | + | 1.63794e21i | 0.390812 | + | 0.913932i | ||||
\(683\) | −4.76136e20 | −0.262770 | −0.131385 | − | 0.991331i | \(-0.541942\pi\) | ||||
−0.131385 | + | 0.991331i | \(0.541942\pi\) | |||||||
\(684\) | 1.48988e21 | + | 1.43654e21i | 0.813262 | + | 0.784147i | ||||
\(685\) | −1.21441e21 | −0.655670 | ||||||||
\(686\) | 8.01508e20 | + | 1.87436e21i | 0.428033 | + | 1.00097i | ||||
\(687\) | −3.43707e18 | + | 1.51199e21i | −0.00181557 | + | 0.798680i | ||||
\(688\) | −7.19131e20 | + | 3.27726e19i | −0.375746 | + | 0.0171237i | ||||
\(689\) | − | 3.42553e21i | − | 1.77045i | ||||||
\(690\) | 7.43451e20 | − | 3.15915e20i | 0.380088 | − | 0.161511i | ||||
\(691\) | 1.15215e21i | 0.582673i | 0.956621 | + | 0.291337i | \(0.0940999\pi\) | ||||
−0.956621 | + | 0.291337i | \(0.905900\pi\) | |||||||
\(692\) | −9.66990e20 | − | 9.23926e20i | −0.483756 | − | 0.462212i | ||||
\(693\) | 1.35064e19 | − | 2.97076e21i | 0.00668406 | − | 1.47017i | ||||
\(694\) | −1.39606e21 | + | 5.96977e20i | −0.683452 | + | 0.292255i | ||||
\(695\) | −1.15709e20 | −0.0560376 | ||||||||
\(696\) | 2.47265e20 | − | 6.55292e20i | 0.118466 | − | 0.313954i | ||||
\(697\) | −1.76107e21 | −0.834703 | ||||||||
\(698\) | −2.46347e21 | + | 1.05342e21i | −1.15513 | + | 0.493953i | ||||
\(699\) | 7.35836e20 | + | 1.67271e18i | 0.341352 | + | 0.000775966i | ||||
\(700\) | −8.68844e20 | − | 8.30151e20i | −0.398756 | − | 0.380997i | ||||
\(701\) | 8.34711e20i | 0.379010i | 0.981880 | + | 0.189505i | \(0.0606884\pi\) | ||||
−0.981880 | + | 0.189505i | \(0.939312\pi\) | |||||||
\(702\) | 8.42536e20 | + | 2.00808e21i | 0.378495 | + | 0.902096i | ||||
\(703\) | 2.48252e21i | 1.10339i | ||||||||
\(704\) | 3.07827e21 | + | 2.68403e21i | 1.35367 | + | 1.18030i | ||||
\(705\) | −1.54951e21 | − | 3.52237e18i | −0.674182 | − | 0.00153256i | ||||
\(706\) | 3.36879e19 | + | 7.87807e19i | 0.0145024 | + | 0.0339144i | ||||
\(707\) | −3.50249e21 | −1.49187 | ||||||||
\(708\) | −1.50532e21 | − | 1.44484e21i | −0.634424 | − | 0.608935i | ||||
\(709\) | 2.40258e21 | 1.00192 | 0.500958 | − | 0.865471i | \(-0.332981\pi\) | ||||
0.500958 | + | 0.865471i | \(0.332981\pi\) | |||||||
\(710\) | −1.98017e20 | − | 4.63072e20i | −0.0817081 | − | 0.191078i | ||||
\(711\) | −7.64719e18 | + | 1.68201e21i | −0.00312234 | + | 0.686764i | ||||
\(712\) | −5.03293e20 | − | 1.88604e20i | −0.203339 | − | 0.0761994i | ||||
\(713\) | 1.00089e21i | 0.400145i | ||||||||
\(714\) | 5.01685e20 | + | 1.18063e21i | 0.198470 | + | 0.467066i | ||||
\(715\) | − | 2.56361e21i | − | 1.00359i | ||||||
\(716\) | 5.39496e20 | − | 5.64642e20i | 0.208997 | − | 0.218739i | ||||
\(717\) | −6.97178e18 | + | 3.06693e21i | −0.00267270 | + | 1.17574i | ||||
\(718\) | −1.49392e21 | + | 6.38825e20i | −0.566754 | + | 0.242353i | ||||
\(719\) | −5.58110e20 | −0.209533 | −0.104767 | − | 0.994497i | \(-0.533410\pi\) | ||||
−0.104767 | + | 0.994497i | \(0.533410\pi\) | |||||||
\(720\) | −1.53611e21 | + | 6.30073e19i | −0.570725 | + | 0.0234098i | ||||
\(721\) | 3.41104e21 | 1.25422 | ||||||||
\(722\) | 6.98094e20 | − | 2.98516e20i | 0.254030 | − | 0.108627i | ||||
\(723\) | 5.96896e18 | − | 2.62578e21i | 0.00214962 | − | 0.945630i | ||||
\(724\) | 1.78316e21 | − | 1.86628e21i | 0.635554 | − | 0.665177i | ||||
\(725\) | 6.40897e20i | 0.226075i | ||||||||
\(726\) | −2.49304e21 | − | 5.86694e21i | −0.870370 | − | 2.04827i | ||||
\(727\) | − | 2.03302e21i | − | 0.702479i | −0.936286 | − | 0.351239i | \(-0.885760\pi\) | ||
0.936286 | − | 0.351239i | \(-0.114240\pi\) | |||||||
\(728\) | 2.19274e21 | + | 8.21709e20i | 0.749898 | + | 0.281017i | ||||
\(729\) | −2.95404e21 | − | 4.02934e19i | −0.999907 | − | 0.0136388i | ||||
\(730\) | 6.55568e20 | + | 1.53308e21i | 0.219632 | + | 0.513621i | ||||
\(731\) | −7.03196e20 | −0.233183 | ||||||||
\(732\) | −2.00607e21 | − | 1.92548e21i | −0.658437 | − | 0.631983i | ||||
\(733\) | −3.69702e21 | −1.20108 | −0.600540 | − | 0.799595i | \(-0.705048\pi\) | ||||
−0.600540 | + | 0.799595i | \(0.705048\pi\) | |||||||
\(734\) | 1.00833e21 | + | 2.35804e21i | 0.324253 | + | 0.758280i | ||||
\(735\) | −5.91996e20 | − | 1.34573e18i | −0.188436 | − | 0.000428355i | ||||
\(736\) | 9.97329e20 | + | 2.06660e21i | 0.314235 | + | 0.651139i | ||||
\(737\) | − | 9.48305e19i | − | 0.0295762i | ||||||
\(738\) | −1.69647e21 | − | 4.01770e21i | −0.523748 | − | 1.24038i | ||||
\(739\) | 3.50967e21i | 1.07259i | 0.844031 | + | 0.536295i | \(0.180176\pi\) | ||||
−0.844031 | + | 0.536295i | \(0.819824\pi\) | |||||||
\(740\) | −1.33333e21 | − | 1.27395e21i | −0.403365 | − | 0.385402i | ||||
\(741\) | 3.69039e21 | + | 8.38905e18i | 1.10519 | + | 0.00251233i | ||||
\(742\) | 4.59468e21 | − | 1.96476e21i | 1.36215 | − | 0.582478i | ||||
\(743\) | 1.84088e21 | 0.540268 | 0.270134 | − | 0.962823i | \(-0.412932\pi\) | ||||
0.270134 | + | 0.962823i | \(0.412932\pi\) | |||||||
\(744\) | 6.72510e20 | − | 1.78226e21i | 0.195390 | − | 0.517814i | ||||
\(745\) | 2.34526e21 | 0.674556 | ||||||||
\(746\) | 4.17709e21 | − | 1.78619e21i | 1.18941 | − | 0.508612i | ||||
\(747\) | 5.36186e21 | + | 2.43774e19i | 1.51151 | + | 0.00687201i | ||||
\(748\) | 2.88446e21 | + | 2.75600e21i | 0.805013 | + | 0.769162i | ||||
\(749\) | 3.03078e21i | 0.837414i | ||||||||
\(750\) | 3.21655e21 | − | 1.36681e21i | 0.879896 | − | 0.373894i | ||||
\(751\) | − | 2.33032e21i | − | 0.631125i | −0.948905 | − | 0.315563i | \(-0.897807\pi\) | ||
0.948905 | − | 0.315563i | \(-0.102193\pi\) | |||||||
\(752\) | −2.00388e20 | − | 4.39713e21i | −0.0537326 | − | 1.17906i | ||||
\(753\) | −7.51695e18 | + | 3.30675e21i | −0.00199563 | + | 0.877887i | ||||
\(754\) | −4.91031e20 | − | 1.14830e21i | −0.129069 | − | 0.301835i | ||||
\(755\) | −2.23763e21 | −0.582352 | ||||||||
\(756\) | −2.21020e21 | + | 2.28186e21i | −0.569532 | + | 0.587997i | ||||
\(757\) | 4.35803e21 | 1.11191 | 0.555957 | − | 0.831211i | \(-0.312352\pi\) | ||||
0.555957 | + | 0.831211i | \(0.312352\pi\) | |||||||
\(758\) | −5.97361e20 | − | 1.39696e21i | −0.150910 | − | 0.352910i | ||||
\(759\) | 1.18002e19 | − | 5.19098e21i | 0.00295173 | − | 1.29848i | ||||
\(760\) | −9.14247e20 | + | 2.43968e21i | −0.226445 | + | 0.604270i | ||||
\(761\) | 6.10184e21i | 1.49650i | 0.663418 | + | 0.748249i | \(0.269105\pi\) | ||||
−0.663418 | + | 0.748249i | \(0.730895\pi\) | |||||||
\(762\) | −2.81264e21 | + | 1.19518e21i | −0.683049 | + | 0.290248i | ||||
\(763\) | 3.13923e21i | 0.754900i | ||||||||
\(764\) | 6.76379e20 | − | 7.07906e20i | 0.161061 | − | 0.168568i | ||||
\(765\) | −1.50176e21 | − | 6.82766e18i | −0.354110 | − | 0.00160994i | ||||
\(766\) | 5.33968e20 | − | 2.28333e20i | 0.124681 | − | 0.0533154i | ||||
\(767\) | −3.72051e21 | −0.860274 | ||||||||
\(768\) | −3.87342e20 | − | 4.35005e21i | −0.0886921 | − | 0.996059i | ||||
\(769\) | 6.29413e20 | 0.142721 | 0.0713606 | − | 0.997451i | \(-0.477266\pi\) | ||||
0.0713606 | + | 0.997451i | \(0.477266\pi\) | |||||||
\(770\) | 3.43858e21 | − | 1.47039e21i | 0.772145 | − | 0.330181i | ||||
\(771\) | 6.70827e20 | + | 1.52493e18i | 0.149177 | + | 0.000339112i | ||||
\(772\) | −3.64146e21 | + | 3.81119e21i | −0.801948 | + | 0.839327i | ||||
\(773\) | − | 6.84004e21i | − | 1.49181i | −0.666055 | − | 0.745903i | \(-0.732018\pi\) | ||
0.666055 | − | 0.745903i | \(-0.267982\pi\) | |||||||
\(774\) | −6.77398e20 | − | 1.60426e21i | −0.146314 | − | 0.346512i | ||||
\(775\) | 1.74311e21i | 0.372874i | ||||||||
\(776\) | −6.03476e20 | + | 1.61038e21i | −0.127849 | + | 0.341167i | ||||
\(777\) | −3.81051e21 | − | 8.66210e18i | −0.799512 | − | 0.00181746i | ||||
\(778\) | −3.29794e21 | − | 7.71239e21i | −0.685324 | − | 1.60266i | ||||
\(779\) | −7.39070e21 | −1.52109 | ||||||||
\(780\) | −1.89830e21 | + | 1.97776e21i | −0.386950 | + | 0.403147i | ||||
\(781\) | −3.23644e21 | −0.653408 | ||||||||
\(782\) | 8.81306e20 | + | 2.06097e21i | 0.176228 | + | 0.412118i | ||||
\(783\) | 1.69424e21 | + | 1.15542e19i | 0.335553 | + | 0.00228838i | ||||
\(784\) | −7.65589e19 | − | 1.67994e21i | −0.0150185 | − | 0.329551i | ||||
\(785\) | − | 2.03638e21i | − | 0.395673i | ||||||
\(786\) | 1.66796e21 | + | 3.92525e21i | 0.321008 | + | 0.755437i | ||||
\(787\) | 3.38367e21i | 0.645027i | 0.946565 | + | 0.322514i | \(0.104528\pi\) | ||||
−0.946565 | + | 0.322514i | \(0.895472\pi\) | |||||||
\(788\) | 3.16052e21 | + | 3.01976e21i | 0.596776 | + | 0.570199i | ||||
\(789\) | −1.01127e19 | + | 4.44862e21i | −0.00189142 | + | 0.832046i | ||||
\(790\) | −1.94689e21 | + | 8.32521e20i | −0.360694 | + | 0.154238i | ||||
\(791\) | −6.84665e21 | −1.25648 | ||||||||
\(792\) | −3.50888e21 | + | 9.23548e21i | −0.637866 | + | 1.67888i | ||||
\(793\) | −4.95816e21 | −0.892835 | ||||||||
\(794\) | −3.18744e21 | + | 1.36300e21i | −0.568575 | + | 0.243132i | ||||
\(795\) | −1.32986e19 | + | 5.85011e21i | −0.00234991 | + | 1.03374i | ||||
\(796\) | 2.24580e21 | + | 2.14579e21i | 0.393119 | + | 0.375611i | ||||
\(797\) | − | 5.45338e21i | − | 0.945646i | −0.881157 | − | 0.472823i | \(-0.843235\pi\) | ||
0.881157 | − | 0.472823i | \(-0.156765\pi\) | |||||||
\(798\) | 2.10542e21 | + | 4.95475e21i | 0.361674 | + | 0.851139i | ||||
\(799\) | − | 4.29969e21i | − | 0.731706i | ||||||
\(800\) | 1.73690e21 | + | 3.59910e21i | 0.292820 | + | 0.606763i | ||||
\(801\) | 5.91108e18 | − | 1.30015e21i | 0.000987241 | − | 0.217145i | ||||
\(802\) | −6.25707e20 | − | 1.46324e21i | −0.103529 | − | 0.242108i | ||||
\(803\) | 1.07148e22 | 1.75637 | ||||||||
\(804\) | −7.02199e19 | + | 7.31592e19i | −0.0114036 | + | 0.0118809i | ||||
\(805\) | 2.10122e21 | 0.338066 | ||||||||
\(806\) | −1.33550e21 | − | 3.12314e21i | −0.212879 | − | 0.497827i | ||||
\(807\) | 3.32243e21 | + | 7.55260e18i | 0.524692 | + | 0.00119274i | ||||
\(808\) | 1.09071e22 | + | 4.08734e21i | 1.70657 | + | 0.639522i | ||||
\(809\) | − | 7.40988e21i | − | 1.14867i | −0.818619 | − | 0.574337i | \(-0.805260\pi\) | ||
0.818619 | − | 0.574337i | \(-0.194740\pi\) | |||||||
\(810\) | −1.43108e21 | − | 3.43267e21i | −0.219800 | − | 0.527222i | ||||
\(811\) | − | 1.08029e21i | − | 0.164393i | −0.996616 | − | 0.0821964i | \(-0.973807\pi\) | ||
0.996616 | − | 0.0821964i | \(-0.0261935\pi\) | |||||||
\(812\) | 1.25858e21 | − | 1.31724e21i | 0.189763 | − | 0.198607i | ||||
\(813\) | 7.28861e21 | + | 1.65686e19i | 1.08884 | + | 0.00247517i | ||||
\(814\) | −1.08961e22 | + | 4.65935e21i | −1.61283 | + | 0.689672i | ||||
\(815\) | 6.87654e21 | 1.00853 | ||||||||
\(816\) | −1.84525e20 | − | 4.26207e21i | −0.0268151 | − | 0.619361i | ||||
\(817\) | −2.95110e21 | −0.424931 | ||||||||
\(818\) | −7.70180e21 | + | 3.29341e21i | −1.09886 | + | 0.469890i | ||||
\(819\) | −2.57533e19 | + | 5.66449e21i | −0.00364086 | + | 0.800814i | ||||
\(820\) | 3.79267e21 | − | 3.96944e21i | 0.531301 | − | 0.556065i | ||||
\(821\) | 3.85146e21i | 0.534628i | 0.963609 | + | 0.267314i | \(0.0861361\pi\) | ||||
−0.963609 | + | 0.267314i | \(0.913864\pi\) | |||||||
\(822\) | 7.68045e21 | − | 3.26365e21i | 1.05645 | − | 0.448916i | ||||
\(823\) | − | 2.32768e21i | − | 0.317267i | −0.987338 | − | 0.158633i | \(-0.949291\pi\) | ||
0.987338 | − | 0.158633i | \(-0.0507088\pi\) | |||||||
\(824\) | −1.06223e22 | − | 3.98062e21i | −1.43472 | − | 0.537646i | ||||
\(825\) | 2.05507e19 | − | 9.04036e21i | 0.00275056 | − | 1.20999i | ||||
\(826\) | −2.13394e21 | − | 4.99033e21i | −0.283030 | − | 0.661879i | ||||
\(827\) | 8.61347e21 | 1.13210 | 0.566052 | − | 0.824369i | \(-0.308470\pi\) | ||||
0.566052 | + | 0.824369i | \(0.308470\pi\) | |||||||
\(828\) | −3.85291e21 | + | 3.99597e21i | −0.501836 | + | 0.520468i | ||||
\(829\) | −6.83047e21 | −0.881641 | −0.440821 | − | 0.897595i | \(-0.645313\pi\) | ||||
−0.440821 | + | 0.897595i | \(0.645313\pi\) | |||||||
\(830\) | 2.65388e21 | + | 6.20623e21i | 0.339466 | + | 0.793857i | ||||
\(831\) | 1.12364e19 | − | 4.94296e21i | 0.00142436 | − | 0.626584i | ||||
\(832\) | −5.86950e21 | − | 5.11778e21i | −0.737355 | − | 0.642919i | ||||
\(833\) | − | 1.64271e21i | − | 0.204514i | ||||||
\(834\) | 7.31792e20 | − | 3.10960e20i | 0.0902906 | − | 0.0383672i | ||||
\(835\) | − | 1.03772e21i | − | 0.126891i | ||||||
\(836\) | 1.21052e22 | + | 1.15661e22i | 1.46698 | + | 1.40165i | ||||
\(837\) | 4.60798e21 | + | 3.14252e19i | 0.553439 | + | 0.00377431i | ||||
\(838\) | −3.82377e21 | + | 1.63510e21i | −0.455157 | + | 0.194632i | ||||
\(839\) | 3.15668e21 | 0.372405 | 0.186203 | − | 0.982511i | \(-0.440382\pi\) | ||||
0.186203 | + | 0.982511i | \(0.440382\pi\) | |||||||
\(840\) | −3.74157e21 | − | 1.41183e21i | −0.437481 | − | 0.165077i | ||||
\(841\) | 7.65753e21 | 0.887399 | ||||||||
\(842\) | 1.94891e21 | − | 8.33386e20i | 0.223847 | − | 0.0957206i | ||||
\(843\) | −7.92698e21 | − | 1.80197e19i | −0.902403 | − | 0.00205136i | ||||
\(844\) | 4.75284e20 | + | 4.54118e20i | 0.0536272 | + | 0.0512389i | ||||
\(845\) | − | 2.19440e20i | − | 0.0245409i | ||||||
\(846\) | 9.80927e21 | − | 4.14195e21i | 1.08732 | − | 0.459121i | ||||
\(847\) | − | 1.65817e22i | − | 1.82181i | ||||||
\(848\) | −1.66011e22 | + | 7.56556e20i | −1.80788 | + | 0.0823895i | ||||
\(849\) | −2.24113e21 | − | 5.09457e18i | −0.241913 | − | 0.000549921i | ||||
\(850\) | 1.53484e21 | + | 3.58929e21i | 0.164218 | + | 0.384032i | ||||
\(851\) | −6.65829e21 | −0.706141 | ||||||||
\(852\) | 2.49683e21 | + | 2.39651e21i | 0.262477 | + | 0.251932i | ||||
\(853\) | 7.83079e21 | 0.815996 | 0.407998 | − | 0.912983i | \(-0.366227\pi\) | ||||
0.407998 | + | 0.912983i | \(0.366227\pi\) | |||||||
\(854\) | −2.84382e21 | − | 6.65040e21i | −0.293743 | − | 0.686932i | ||||
\(855\) | −6.30241e21 | − | 2.86536e19i | −0.645299 | − | 0.00293382i | ||||
\(856\) | 3.53686e21 | − | 9.43815e21i | 0.358975 | − | 0.957930i | ||||
\(857\) | 7.75755e21i | 0.780492i | 0.920711 | + | 0.390246i | \(0.127610\pi\) | ||||
−0.920711 | + | 0.390246i | \(0.872390\pi\) | |||||||
\(858\) | 6.88955e21 | + | 1.62134e22i | 0.687126 | + | 1.61703i | ||||
\(859\) | 1.29352e22i | 1.27886i | 0.768849 | + | 0.639430i | \(0.220830\pi\) | ||||
−0.768849 | + | 0.639430i | \(0.779170\pi\) | |||||||
\(860\) | 1.51441e21 | − | 1.58500e21i | 0.148424 | − | 0.155342i | ||||
\(861\) | 2.57879e19 | − | 1.13443e22i | 0.00250549 | − | 1.10218i | ||||
\(862\) | 5.91649e21 | − | 2.52999e21i | 0.569849 | − | 0.243676i | ||||
\(863\) | −1.29756e22 | −1.23893 | −0.619463 | − | 0.785026i | \(-0.712650\pi\) | ||||
−0.619463 | + | 0.785026i | \(0.712650\pi\) | |||||||
\(864\) | 9.54568e21 | − | 4.52668e21i | 0.903553 | − | 0.428476i | ||||
\(865\) | 4.07274e21 | 0.382179 | ||||||||
\(866\) | 4.93555e21 | − | 2.11052e21i | 0.459146 | − | 0.196338i | ||||
\(867\) | −1.51751e19 | + | 6.67562e21i | −0.00139955 | + | 0.615671i | ||||
\(868\) | 3.42308e21 | − | 3.58263e21i | 0.312982 | − | 0.327570i | ||||
\(869\) | 1.36069e22i | 1.23342i | ||||||||
\(870\) | 8.34123e20 | + | 1.96297e21i | 0.0749610 | + | 0.176408i | ||||
\(871\) | 1.80818e20i | 0.0161104i | ||||||||
\(872\) | 3.66343e21 | − | 9.77589e21i | 0.323604 | − | 0.863541i | ||||
\(873\) | −4.16010e21 | − | 1.89137e19i | −0.364331 | − | 0.00165641i | ||||
\(874\) | 3.69857e21 | + | 8.64928e21i | 0.321143 | + | 0.751008i | ||||
\(875\) | 9.09094e21 | 0.782615 | ||||||||
\(876\) | −8.26616e21 | − | 7.93405e21i | −0.705542 | − | 0.677196i | ||||
\(877\) | −1.62080e22 | −1.37161 | −0.685806 | − | 0.727784i | \(-0.740550\pi\) | ||||
−0.685806 | + | 0.727784i | \(0.740550\pi\) | |||||||
\(878\) | 2.76272e21 | + | 6.46074e21i | 0.231807 | + | 0.542092i | ||||
\(879\) | −1.76151e20 | − | 4.00428e17i | −0.0146544 | − | 3.33126e-5i | ||||
\(880\) | −1.24240e22 | + | 5.66193e20i | −1.02481 | + | 0.0467030i | ||||
\(881\) | 1.57340e22i | 1.28682i | 0.765520 | + | 0.643412i | \(0.222482\pi\) | ||||
−0.765520 | + | 0.643412i | \(0.777518\pi\) | |||||||
\(882\) | 3.74766e21 | − | 1.58245e21i | 0.303911 | − | 0.128326i | ||||
\(883\) | − | 7.04158e21i | − | 0.566194i | −0.959091 | − | 0.283097i | \(-0.908638\pi\) | ||
0.959091 | − | 0.283097i | \(-0.0913618\pi\) | |||||||
\(884\) | −5.49996e21 | − | 5.25502e21i | −0.438498 | − | 0.418969i | ||||
\(885\) | 6.35387e21 | + | 1.44437e19i | 0.502301 | + | 0.00114184i | ||||
\(886\) | −1.09192e22 | + | 4.66920e21i | −0.855925 | + | 0.366007i | ||||
\(887\) | 2.49850e22 | 1.94201 | 0.971005 | − | 0.239060i | \(-0.0768392\pi\) | ||||
0.971005 | + | 0.239060i | \(0.0768392\pi\) | |||||||
\(888\) | 1.18562e22 | + | 4.47377e21i | 0.913794 | + | 0.344807i | ||||
\(889\) | −7.94937e21 | −0.607532 | ||||||||
\(890\) | 1.50490e21 | − | 6.43518e20i | 0.114046 | − | 0.0487681i | ||||
\(891\) | −2.38982e22 | − | 2.17308e20i | −1.79590 | − | 0.0163303i | ||||
\(892\) | −4.39467e21 | − | 4.19896e21i | −0.327484 | − | 0.312900i | ||||
\(893\) | − | 1.80445e22i | − | 1.33340i | ||||||
\(894\) | −1.48324e22 | + | 6.30274e21i | −1.08688 | + | 0.461847i | ||||
\(895\) | 2.37815e21i | 0.172809i | ||||||||
\(896\) | 3.49796e21 | − | 1.08082e22i | 0.252061 | − | 0.778828i | ||||
\(897\) | −2.25001e19 | + | 9.89791e21i | −0.00160783 | + | 0.707294i | ||||
\(898\) | 5.91925e20 | + | 1.38424e21i | 0.0419463 | + | 0.0980935i | ||||
\(899\) | −2.64270e21 | −0.185717 | ||||||||
\(900\) | −6.71005e21 | + | 6.95918e21i | −0.467635 | + | 0.484997i | ||||
\(901\) | −1.62333e22 | −1.12194 | ||||||||
\(902\) | −1.38713e22 | − | 3.24388e22i | −0.950757 | − | 2.22339i | ||||
\(903\) | 1.02971e19 | − | 4.52975e21i | 0.000699933 | − | 0.307905i | ||||
\(904\) | 2.13212e22 | + | 7.98991e21i | 1.43730 | + | 0.538615i | ||||
\(905\) | 7.86035e21i | 0.525506i | ||||||||
\(906\) | 1.41517e22 | − | 6.01349e21i | 0.938314 | − | 0.398718i | ||||
\(907\) | 2.77273e22i | 1.82328i | 0.410995 | + | 0.911638i | \(0.365182\pi\) | ||||
−0.410995 | + | 0.911638i | \(0.634818\pi\) | |||||||
\(908\) | 1.22201e21 | − | 1.27897e21i | 0.0796948 | − | 0.0834094i | ||||
\(909\) | −1.28102e20 | + | 2.81763e22i | −0.00828566 | + | 1.82245i | ||||
\(910\) | −6.55652e21 | + | 2.80367e21i | −0.420594 | + | 0.179853i | ||||
\(911\) | −4.99666e21 | −0.317901 | −0.158951 | − | 0.987287i | \(-0.550811\pi\) | ||||
−0.158951 | + | 0.987287i | \(0.550811\pi\) | |||||||
\(912\) | −7.74397e20 | − | 1.78866e22i | −0.0488655 | − | 1.12867i | ||||
\(913\) | 4.33757e22 | 2.71466 | ||||||||
\(914\) | −1.86788e22 | + | 7.98737e21i | −1.15945 | + | 0.495801i | ||||
\(915\) | 8.46753e21 | + | 1.92485e19i | 0.521313 | + | 0.00118506i | ||||
\(916\) | 9.03560e21 | − | 9.45676e21i | 0.551748 | − | 0.577466i | ||||
\(917\) | 1.10939e22i | 0.671916i | ||||||||
\(918\) | 9.51611e21 | − | 3.99270e21i | 0.571662 | − | 0.239854i | ||||
\(919\) | 8.83940e21i | 0.526692i | 0.964701 | + | 0.263346i | \(0.0848260\pi\) | ||||
−0.964701 | + | 0.263346i | \(0.915174\pi\) | |||||||
\(920\) | −6.54340e21 | − | 2.45208e21i | −0.386718 | − | 0.144919i | ||||
\(921\) | −2.60889e22 | − | 5.93057e19i | −1.52936 | − | 0.00347656i | ||||
\(922\) | 6.49801e21 | + | 1.51959e22i | 0.377832 | + | 0.883578i | ||||
\(923\) | 6.17109e21 | 0.355917 | ||||||||
\(924\) | −1.77955e22 | + | 1.85404e22i | −1.01805 | + | 1.06067i | ||||
\(925\) | −1.15958e22 | −0.658016 | ||||||||
\(926\) | 5.94136e21 | + | 1.38941e22i | 0.334428 | + | 0.782076i | ||||
\(927\) | 1.24757e20 | − | 2.74406e22i | 0.00696576 | − | 1.53213i | ||||
\(928\) | −5.45654e21 | + | 2.63329e21i | −0.302209 | + | 0.145844i | ||||
\(929\) | − | 1.38679e22i | − | 0.761893i | −0.924597 | − | 0.380947i | \(-0.875598\pi\) | ||
0.924597 | − | 0.380947i | \(-0.124402\pi\) | |||||||
\(930\) | 2.26864e21 | + | 5.33887e21i | 0.123636 | + | 0.290956i | ||||
\(931\) | − | 6.89396e21i | − | 0.372688i | ||||||
\(932\) | −4.60230e21 | − | 4.39734e21i | −0.246806 | − | 0.235815i | ||||
\(933\) | 6.34530e19 | − | 2.79133e22i | 0.00337551 | − | 1.48491i | ||||
\(934\) | −8.49031e21 | + | 3.63059e21i | −0.448045 | + | 0.191591i | ||||
\(935\) | −1.21487e22 | −0.635979 | ||||||||
\(936\) | 6.69056e21 | − | 1.76098e22i | 0.347451 | − | 0.914502i | ||||
\(937\) | 2.95302e22 | 1.52132 | 0.760659 | − | 0.649152i | \(-0.224876\pi\) | ||||
0.760659 | + | 0.649152i | \(0.224876\pi\) | |||||||
\(938\) | −2.42532e20 | + | 1.03711e20i | −0.0123950 | + | 0.00530032i | ||||
\(939\) | −1.35190e19 | + | 5.94710e21i | −0.000685415 | + | 0.301518i | ||||
\(940\) | 9.69146e21 | + | 9.25985e21i | 0.487450 | + | 0.465742i | ||||
\(941\) | 1.55233e22i | 0.774571i | 0.921960 | + | 0.387286i | \(0.126587\pi\) | ||||
−0.921960 | + | 0.387286i | \(0.873413\pi\) | |||||||
\(942\) | 5.47266e21 | + | 1.28790e22i | 0.270905 | + | 0.637528i | ||||
\(943\) | − | 1.98224e22i | − | 0.973461i | ||||||
\(944\) | 8.21703e20 | + | 1.80307e22i | 0.0400336 | + | 0.878460i | ||||
\(945\) | 6.59721e19 | − | 9.67371e21i | 0.00318876 | − | 0.467578i | ||||
\(946\) | −5.53882e21 | − | 1.29528e22i | −0.265603 | − | 0.621126i | ||||
\(947\) | −7.45996e21 | −0.354905 | −0.177452 | − | 0.984129i | \(-0.556786\pi\) | ||||
−0.177452 | + | 0.984129i | \(0.556786\pi\) | |||||||
\(948\) | 1.00756e22 | − | 1.04974e22i | 0.475565 | − | 0.495472i | ||||
\(949\) | −2.04304e22 | −0.956710 | ||||||||
\(950\) | 6.44126e21 | + | 1.50632e22i | 0.299256 | + | 0.699825i | ||||
\(951\) | −1.82853e22 | − | 4.15663e19i | −0.842845 | − | 0.00191597i | ||||
\(952\) | 3.89400e21 | − | 1.03912e22i | 0.178082 | − | 0.475213i | ||||
\(953\) | − | 2.70081e22i | − | 1.22546i | −0.790294 | − | 0.612728i | \(-0.790072\pi\) | ||
0.790294 | − | 0.612728i | \(-0.209928\pi\) | |||||||
\(954\) | −1.56377e22 | − | 3.70344e22i | −0.703981 | − | 1.66722i | ||||
\(955\) | 2.98154e21i | 0.133173i | ||||||||
\(956\) | 1.83279e22 | − | 1.91822e22i | 0.812229 | − | 0.850087i | ||||
\(957\) | 1.37060e22 | + | 3.11566e19i | 0.602657 | + | 0.00136997i | ||||
\(958\) | 3.35370e22 | − | 1.43409e22i | 1.46313 | − | 0.625657i | ||||
\(959\) | 2.17072e22 | 0.939647 | ||||||||
\(960\) | 1.00040e22 | + | 8.76291e21i | 0.429676 | + | 0.376369i | ||||
\(961\) | 1.62776e22 | 0.693691 | ||||||||
\(962\) | 2.07762e22 | − | 8.88423e21i | 0.878522 | − | 0.375670i | ||||
\(963\) | 2.43815e22 | + | 1.10849e20i | 1.02297 | + | 0.00465089i | ||||
\(964\) | −1.56916e22 | + | 1.64230e22i | −0.653265 | + | 0.683714i | ||||
\(965\) | − | 1.60519e22i | − | 0.663088i | ||||||
\(966\) | −1.32890e22 | + | 5.64690e21i | −0.544709 | + | 0.231463i | ||||
\(967\) | − | 6.00041e21i | − | 0.244052i | −0.992527 | − | 0.122026i | \(-0.961061\pi\) | ||
0.992527 | − | 0.122026i | \(-0.0389391\pi\) | |||||||
\(968\) | −1.93506e22 | + | 5.16372e22i | −0.780959 | + | 2.08400i | ||||
\(969\) | 3.97550e19 | − | 1.74884e22i | 0.00159207 | − | 0.700362i | ||||
\(970\) | −2.05906e21 | − | 4.81521e21i | −0.0818241 | − | 0.191350i | ||||
\(971\) | −9.06911e21 | −0.357619 | −0.178810 | − | 0.983884i | \(-0.557225\pi\) | ||||
−0.178810 | + | 0.983884i | \(0.557225\pi\) | |||||||
\(972\) | 1.82759e22 | + | 1.78637e22i | 0.715125 | + | 0.698997i | ||||
\(973\) | 2.06826e21 | 0.0803081 | ||||||||
\(974\) | −3.06586e21 | − | 7.16965e21i | −0.118130 | − | 0.276252i | ||||
\(975\) | −3.91850e19 | + | 1.72377e22i | −0.00149825 | + | 0.659091i | ||||
\(976\) | 1.09505e21 | + | 2.40287e22i | 0.0415489 | + | 0.911710i | ||||
\(977\) | − | 1.03765e22i | − | 0.390699i | −0.980734 | − | 0.195349i | \(-0.937416\pi\) | ||
0.980734 | − | 0.195349i | \(-0.0625841\pi\) | |||||||
\(978\) | −4.34902e22 | + | 1.84803e22i | −1.62499 | + | 0.690506i | ||||
\(979\) | − | 1.05178e22i | − | 0.389991i | ||||||
\(980\) | 3.70265e21 | + | 3.53776e21i | 0.136244 | + | 0.130176i | ||||
\(981\) | 2.52540e22 | + | 1.14816e20i | 0.922174 | + | 0.00419262i | ||||
\(982\) | 1.35332e22 | − | 5.78701e21i | 0.490415 | − | 0.209709i | ||||
\(983\) | 3.36568e22 | 1.21038 | 0.605189 | − | 0.796082i | \(-0.293097\pi\) | ||||
0.605189 | + | 0.796082i | \(0.293097\pi\) | |||||||
\(984\) | −1.33188e22 | + | 3.52971e22i | −0.475339 | + | 1.25972i | ||||
\(985\) | −1.33114e22 | −0.471467 | ||||||||
\(986\) | −5.44168e21 | + | 2.32695e21i | −0.191274 | + | 0.0817918i | ||||
\(987\) | 2.76972e22 | + | 6.29616e19i | 0.966177 | + | 0.00219633i | ||||
\(988\) | −2.30816e22 | − | 2.20537e22i | −0.799079 | − | 0.763492i | ||||
\(989\) | − | 7.91507e21i | − | 0.271946i | ||||||
\(990\) | −1.17030e22 | − | 2.77159e22i | −0.399056 | − | 0.945073i | ||||
\(991\) | 1.11030e22i | 0.375739i | 0.982194 | + | 0.187869i | \(0.0601582\pi\) | ||||
−0.982194 | + | 0.187869i | \(0.939842\pi\) | |||||||
\(992\) | −1.48407e22 | + | 7.16201e21i | −0.498444 | + | 0.240546i | ||||
\(993\) | −3.75006e22 | − | 8.52469e19i | −1.25003 | − | 0.00284158i | ||||
\(994\) | 3.53951e21 | + | 8.27730e21i | 0.117097 | + | 0.273836i | ||||
\(995\) | −9.45882e21 | −0.310573 | ||||||||
\(996\) | −3.34632e22 | − | 3.21188e22i | −1.09049 | − | 1.04668i | ||||
\(997\) | −2.52736e22 | −0.817435 | −0.408718 | − | 0.912661i | \(-0.634024\pi\) | ||||
−0.408718 | + | 0.912661i | \(0.634024\pi\) | |||||||
\(998\) | 1.74369e22 | + | 4.07770e22i | 0.559745 | + | 1.30899i | ||||
\(999\) | −2.09051e20 | + | 3.06539e22i | −0.00666057 | + | 0.976662i |
(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.11.6 | yes | 28 | |
3.2 | odd | 2 | inner | 12.16.b.a.11.23 | yes | 28 | |
4.3 | odd | 2 | inner | 12.16.b.a.11.24 | yes | 28 | |
12.11 | even | 2 | inner | 12.16.b.a.11.5 | ✓ | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.16.b.a.11.5 | ✓ | 28 | 12.11 | even | 2 | inner | |
12.16.b.a.11.6 | yes | 28 | 1.1 | even | 1 | trivial | |
12.16.b.a.11.23 | yes | 28 | 3.2 | odd | 2 | inner | |
12.16.b.a.11.24 | yes | 28 | 4.3 | odd | 2 | inner |