Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,13,Mod(3,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.7959134419\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 527434 x^{14} - 31307480 x^{13} + 193554267483 x^{12} - 12267558721140 x^{11} + \cdots + 73\!\cdots\!36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{48}\cdot 3^{8}\cdot 7^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Root | \(222.636 - 385.618i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.5 |
Dual form | 14.13.d.a.3.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −22.6274 | + | 39.1918i | −0.353553 | + | 0.612372i | ||||
\(3\) | 1106.41 | − | 638.785i | 1.51771 | − | 0.876248i | 0.517923 | − | 0.855427i | \(-0.326705\pi\) |
0.999783 | − | 0.0208214i | \(-0.00662814\pi\) | |||||||
\(4\) | −1024.00 | − | 1773.62i | −0.250000 | − | 0.433013i | ||||
\(5\) | 24805.4 | + | 14321.4i | 1.58755 | + | 0.916571i | 0.993710 | + | 0.111986i | \(0.0357213\pi\) |
0.593838 | + | 0.804585i | \(0.297612\pi\) | |||||||
\(6\) | 57816.2i | 1.23920i | ||||||||
\(7\) | −66642.6 | − | 96953.8i | −0.566453 | − | 0.824094i | ||||
\(8\) | 92681.9 | 0.353553 | ||||||||
\(9\) | 550372. | − | 953273.i | 1.03562 | − | 1.79375i | ||||
\(10\) | −1.12257e6 | + | 648114.i | −1.12257 | + | 0.648114i | ||||
\(11\) | −318316. | − | 551340.i | −0.179681 | − | 0.311217i | 0.762090 | − | 0.647471i | \(-0.224173\pi\) |
−0.941771 | + | 0.336254i | \(0.890840\pi\) | |||||||
\(12\) | −2.26592e6 | − | 1.30823e6i | −0.758853 | − | 0.438124i | ||||
\(13\) | 3.67661e6i | 0.761706i | 0.924636 | + | 0.380853i | \(0.124370\pi\) | ||||
−0.924636 | + | 0.380853i | \(0.875630\pi\) | |||||||
\(14\) | 5.30775e6 | − | 418032.i | 0.704924 | − | 0.0555190i | ||||
\(15\) | 3.65932e7 | 3.21258 | ||||||||
\(16\) | −2.09715e6 | + | 3.63237e6i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.12391e7 | − | 6.48891e6i | 0.465627 | − | 0.268830i | −0.248780 | − | 0.968560i | \(-0.580030\pi\) |
0.714408 | + | 0.699730i | \(0.246696\pi\) | |||||||
\(18\) | 2.49070e7 | + | 4.31402e7i | 0.732296 | + | 1.26837i | ||||
\(19\) | 1.90911e7 | + | 1.10223e7i | 0.405798 | + | 0.234288i | 0.688983 | − | 0.724778i | \(-0.258058\pi\) |
−0.283184 | + | 0.959065i | \(0.591391\pi\) | |||||||
\(20\) | − | 5.86605e7i | − | 0.916571i | ||||||
\(21\) | −1.35667e8 | − | 6.47002e7i | −1.58182 | − | 0.754379i | ||||
\(22\) | 2.88107e7 | 0.254108 | ||||||||
\(23\) | 5.48310e7 | − | 9.49701e7i | 0.370390 | − | 0.641534i | −0.619236 | − | 0.785205i | \(-0.712557\pi\) |
0.989625 | + | 0.143671i | \(0.0458907\pi\) | |||||||
\(24\) | 1.02544e8 | − | 5.92038e7i | 0.536590 | − | 0.309801i | ||||
\(25\) | 2.88136e8 | + | 4.99066e8i | 1.18020 | + | 2.04417i | ||||
\(26\) | −1.44093e8 | − | 8.31922e7i | −0.466448 | − | 0.269304i | ||||
\(27\) | − | 7.27325e8i | − | 1.87735i | ||||||
\(28\) | −1.03717e8 | + | 2.17479e8i | −0.215230 | + | 0.451305i | ||||
\(29\) | −1.71855e8 | −0.288917 | −0.144459 | − | 0.989511i | \(-0.546144\pi\) | ||||
−0.144459 | + | 0.989511i | \(0.546144\pi\) | |||||||
\(30\) | −8.28011e8 | + | 1.43416e9i | −1.13582 | + | 1.96729i | ||||
\(31\) | −1.21966e8 | + | 7.04171e7i | −0.137426 | + | 0.0793429i | −0.567137 | − | 0.823624i | \(-0.691949\pi\) |
0.429711 | + | 0.902967i | \(0.358616\pi\) | |||||||
\(32\) | −9.49063e7 | − | 1.64382e8i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −7.04375e8 | − | 4.06671e8i | −0.545407 | − | 0.314891i | ||||
\(34\) | 5.87309e8i | 0.380183i | ||||||||
\(35\) | −2.64583e8 | − | 3.35940e9i | −0.143931 | − | 1.82748i | ||||
\(36\) | −2.25432e9 | −1.03562 | ||||||||
\(37\) | 3.10074e8 | − | 5.37063e8i | 0.120852 | − | 0.209322i | −0.799252 | − | 0.600996i | \(-0.794771\pi\) |
0.920104 | + | 0.391674i | \(0.128104\pi\) | |||||||
\(38\) | −8.63966e8 | + | 4.98811e8i | −0.286943 | + | 0.165666i | ||||
\(39\) | 2.34856e9 | + | 4.06783e9i | 0.667444 | + | 1.15605i | ||||
\(40\) | 2.29901e9 | + | 1.32734e9i | 0.561283 | + | 0.324057i | ||||
\(41\) | 2.48871e9i | 0.523927i | 0.965078 | + | 0.261963i | \(0.0843700\pi\) | ||||
−0.965078 | + | 0.261963i | \(0.915630\pi\) | |||||||
\(42\) | 5.60550e9 | − | 3.85303e9i | 1.02122 | − | 0.701950i | ||||
\(43\) | −1.21787e10 | −1.92660 | −0.963298 | − | 0.268436i | \(-0.913493\pi\) | ||||
−0.963298 | + | 0.268436i | \(0.913493\pi\) | |||||||
\(44\) | −6.51912e8 | + | 1.12914e9i | −0.0898406 | + | 0.155608i | ||||
\(45\) | 2.73044e10 | − | 1.57642e10i | 3.28820 | − | 1.89844i | ||||
\(46\) | 2.48137e9 | + | 4.29786e9i | 0.261905 | + | 0.453633i | ||||
\(47\) | −5.32001e9 | − | 3.07151e9i | −0.493543 | − | 0.284947i | 0.232500 | − | 0.972596i | \(-0.425309\pi\) |
−0.726043 | + | 0.687649i | \(0.758643\pi\) | |||||||
\(48\) | 5.35852e9i | 0.438124i | ||||||||
\(49\) | −4.95880e9 | + | 1.29225e10i | −0.358262 | + | 0.933621i | ||||
\(50\) | −2.60791e10 | −1.66906 | ||||||||
\(51\) | 8.29003e9 | − | 1.43588e10i | 0.471124 | − | 0.816011i | ||||
\(52\) | 6.52091e9 | − | 3.76485e9i | 0.329828 | − | 0.190427i | ||||
\(53\) | 1.86222e10 | + | 3.22546e10i | 0.840187 | + | 1.45525i | 0.889736 | + | 0.456475i | \(0.150888\pi\) |
−0.0495487 | + | 0.998772i | \(0.515778\pi\) | |||||||
\(54\) | 2.85052e10 | + | 1.64575e10i | 1.14964 | + | 0.663744i | ||||
\(55\) | − | 1.82350e10i | − | 0.658762i | ||||||
\(56\) | −6.17657e9 | − | 8.98587e9i | −0.200271 | − | 0.291361i | ||||
\(57\) | 2.81635e10 | 0.821177 | ||||||||
\(58\) | 3.88863e9 | − | 6.73531e9i | 0.102148 | − | 0.176925i | ||||
\(59\) | −5.05356e10 | + | 2.91767e10i | −1.19808 | + | 0.691711i | −0.960126 | − | 0.279566i | \(-0.909809\pi\) |
−0.237951 | + | 0.971277i | \(0.576476\pi\) | |||||||
\(60\) | −3.74715e10 | − | 6.49025e10i | −0.803144 | − | 1.39109i | ||||
\(61\) | −3.42134e10 | − | 1.97531e10i | −0.664075 | − | 0.383404i | 0.129753 | − | 0.991546i | \(-0.458582\pi\) |
−0.793828 | + | 0.608143i | \(0.791915\pi\) | |||||||
\(62\) | − | 6.37343e9i | − | 0.112208i | ||||||
\(63\) | −1.29102e11 | + | 1.01679e10i | −2.06485 | + | 0.162625i | ||||
\(64\) | 8.58993e9 | 0.125000 | ||||||||
\(65\) | −5.26543e10 | + | 9.11999e10i | −0.698158 | + | 1.20924i | ||||
\(66\) | 3.18764e10 | − | 1.84038e10i | 0.385661 | − | 0.222661i | ||||
\(67\) | 7.43899e9 | + | 1.28847e10i | 0.0822366 | + | 0.142438i | 0.904210 | − | 0.427087i | \(-0.140460\pi\) |
−0.821974 | + | 0.569525i | \(0.807127\pi\) | |||||||
\(68\) | −2.30177e10 | − | 1.32893e10i | −0.232814 | − | 0.134415i | ||||
\(69\) | − | 1.40101e11i | − | 1.29821i | ||||||
\(70\) | 1.37648e11 | + | 6.56450e10i | 1.16999 | + | 0.557974i | ||||
\(71\) | 3.43756e10 | 0.268349 | 0.134175 | − | 0.990958i | \(-0.457162\pi\) | ||||
0.134175 | + | 0.990958i | \(0.457162\pi\) | |||||||
\(72\) | 5.10095e10 | − | 8.83511e10i | 0.366148 | − | 0.634187i | ||||
\(73\) | −2.13758e11 | + | 1.23413e11i | −1.41249 | + | 0.815501i | −0.995622 | − | 0.0934674i | \(-0.970205\pi\) |
−0.416866 | + | 0.908968i | \(0.636872\pi\) | |||||||
\(74\) | 1.40323e10 | + | 2.43047e10i | 0.0854554 | + | 0.148013i | ||||
\(75\) | 6.37592e11 | + | 3.68114e11i | 3.58241 | + | 2.06831i | ||||
\(76\) | − | 4.51472e10i | − | 0.234288i | ||||||
\(77\) | −3.22411e10 | + | 6.76047e10i | −0.154691 | + | 0.324364i | ||||
\(78\) | −2.12568e11 | −0.943908 | ||||||||
\(79\) | 1.71746e11 | − | 2.97472e11i | 0.706518 | − | 1.22372i | −0.259623 | − | 0.965710i | \(-0.583598\pi\) |
0.966141 | − | 0.258015i | \(-0.0830683\pi\) | |||||||
\(80\) | −1.04042e11 | + | 6.00684e10i | −0.396887 | + | 0.229143i | ||||
\(81\) | −1.72114e11 | − | 2.98110e11i | −0.609405 | − | 1.05552i | ||||
\(82\) | −9.75370e10 | − | 5.63130e10i | −0.320838 | − | 0.185236i | ||||
\(83\) | − | 3.79152e11i | − | 1.15970i | −0.814724 | − | 0.579848i | \(-0.803112\pi\) | ||
0.814724 | − | 0.579848i | \(-0.196888\pi\) | |||||||
\(84\) | 2.41691e10 | + | 3.06874e11i | 0.0687993 | + | 0.873543i | ||||
\(85\) | 3.71721e11 | 0.985608 | ||||||||
\(86\) | 2.75573e11 | − | 4.77306e11i | 0.681154 | − | 1.17979i | ||||
\(87\) | −1.90142e11 | + | 1.09778e11i | −0.438492 | + | 0.253163i | ||||
\(88\) | −2.95021e10 | − | 5.10992e10i | −0.0635269 | − | 0.110032i | ||||
\(89\) | −5.04902e11 | − | 2.91505e11i | −1.01594 | − | 0.586551i | −0.103012 | − | 0.994680i | \(-0.532848\pi\) |
−0.912924 | + | 0.408129i | \(0.866181\pi\) | |||||||
\(90\) | 1.42681e12i | 2.68480i | ||||||||
\(91\) | 3.56461e11 | − | 2.45019e11i | 0.627718 | − | 0.431471i | ||||
\(92\) | −2.24588e11 | −0.370390 | ||||||||
\(93\) | −8.99628e10 | + | 1.55820e11i | −0.139048 | + | 0.240839i | ||||
\(94\) | 2.40756e11 | − | 1.39001e11i | 0.348988 | − | 0.201488i | ||||
\(95\) | 3.15709e11 | + | 5.46825e11i | 0.429483 | + | 0.743886i | ||||
\(96\) | −2.10010e11 | − | 1.21249e11i | −0.268295 | − | 0.154900i | ||||
\(97\) | 5.78167e11i | 0.694101i | 0.937846 | + | 0.347051i | \(0.112817\pi\) | ||||
−0.937846 | + | 0.347051i | \(0.887183\pi\) | |||||||
\(98\) | −3.94252e11 | − | 4.86748e11i | −0.445059 | − | 0.549475i | ||||
\(99\) | −7.00770e11 | −0.744327 | ||||||||
\(100\) | 5.90102e11 | − | 1.02209e12i | 0.590102 | − | 1.02209i | ||||
\(101\) | −4.29889e11 | + | 2.48196e11i | −0.404975 | + | 0.233812i | −0.688628 | − | 0.725115i | \(-0.741787\pi\) |
0.283654 | + | 0.958927i | \(0.408453\pi\) | |||||||
\(102\) | 3.75164e11 | + | 6.49803e11i | 0.333135 | + | 0.577007i | ||||
\(103\) | 8.29598e11 | + | 4.78969e11i | 0.694776 | + | 0.401129i | 0.805399 | − | 0.592734i | \(-0.201951\pi\) |
−0.110623 | + | 0.993862i | \(0.535285\pi\) | |||||||
\(104\) | 3.40755e11i | 0.269304i | ||||||||
\(105\) | −2.43867e12 | − | 3.54786e12i | −1.81977 | − | 2.64746i | ||||
\(106\) | −1.68549e12 | −1.18820 | ||||||||
\(107\) | −5.89729e11 | + | 1.02144e12i | −0.392961 | + | 0.680629i | −0.992839 | − | 0.119463i | \(-0.961883\pi\) |
0.599877 | + | 0.800092i | \(0.295216\pi\) | |||||||
\(108\) | −1.29000e12 | + | 7.44781e11i | −0.812918 | + | 0.469338i | ||||
\(109\) | 2.93367e11 | + | 5.08126e11i | 0.174925 | + | 0.302979i | 0.940135 | − | 0.340801i | \(-0.110698\pi\) |
−0.765210 | + | 0.643780i | \(0.777365\pi\) | |||||||
\(110\) | 7.14662e11 | + | 4.12610e11i | 0.403408 | + | 0.232908i | ||||
\(111\) | − | 7.92282e11i | − | 0.423586i | ||||||
\(112\) | 4.91932e11 | − | 3.87440e10i | 0.249228 | − | 0.0196289i | ||||
\(113\) | 1.86756e12 | 0.897026 | 0.448513 | − | 0.893776i | \(-0.351954\pi\) | ||||
0.448513 | + | 0.893776i | \(0.351954\pi\) | |||||||
\(114\) | −6.37266e11 | + | 1.10378e12i | −0.290330 | + | 0.502866i | ||||
\(115\) | 2.72021e12 | − | 1.57052e12i | 1.17602 | − | 0.678977i | ||||
\(116\) | 1.75979e11 | + | 3.04805e11i | 0.0722294 | + | 0.125105i | ||||
\(117\) | 3.50481e12 | + | 2.02350e12i | 1.36631 | + | 0.788840i | ||||
\(118\) | − | 2.64078e12i | − | 0.978226i | ||||||
\(119\) | −1.37813e12 | − | 6.57237e11i | −0.485297 | − | 0.231441i | ||||
\(120\) | 3.39153e12 | 1.13582 | ||||||||
\(121\) | 1.36656e12 | − | 2.36696e12i | 0.435429 | − | 0.754186i | ||||
\(122\) | 1.54832e12 | − | 8.93923e11i | 0.469572 | − | 0.271107i | ||||
\(123\) | 1.58975e12 | + | 2.75353e12i | 0.459090 | + | 0.795167i | ||||
\(124\) | 2.49787e11 | + | 1.44214e11i | 0.0687130 | + | 0.0396715i | ||||
\(125\) | 9.51319e12i | 2.49382i | ||||||||
\(126\) | 2.52274e12 | − | 5.28981e12i | 0.630448 | − | 1.32195i | ||||
\(127\) | −2.41625e12 | −0.575864 | −0.287932 | − | 0.957651i | \(-0.592968\pi\) | ||||
−0.287932 | + | 0.957651i | \(0.592968\pi\) | |||||||
\(128\) | −1.94368e11 | + | 3.36655e11i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −1.34746e13 | + | 7.77958e12i | −2.92401 | + | 1.68818i | ||||
\(130\) | −2.38286e12 | − | 4.12724e12i | −0.493672 | − | 0.855065i | ||||
\(131\) | −9.92695e11 | − | 5.73133e11i | −0.196421 | − | 0.113404i | 0.398564 | − | 0.917141i | \(-0.369509\pi\) |
−0.594985 | + | 0.803737i | \(0.702842\pi\) | |||||||
\(132\) | 1.66573e12i | 0.314891i | ||||||||
\(133\) | −2.03632e11 | − | 2.58551e12i | −0.0367906 | − | 0.467129i | ||||
\(134\) | −6.73301e11 | −0.116300 | ||||||||
\(135\) | 1.04163e13 | − | 1.80416e13i | 1.72073 | − | 2.98039i | ||||
\(136\) | 1.04166e12 | − | 6.01404e11i | 0.164624 | − | 0.0950458i | ||||
\(137\) | −9.34422e11 | − | 1.61847e12i | −0.141325 | − | 0.244782i | 0.786671 | − | 0.617373i | \(-0.211803\pi\) |
−0.927996 | + | 0.372590i | \(0.878470\pi\) | |||||||
\(138\) | 5.49081e12 | + | 3.17012e12i | 0.794991 | + | 0.458988i | ||||
\(139\) | 9.31648e12i | 1.29170i | 0.763462 | + | 0.645852i | \(0.223498\pi\) | ||||
−0.763462 | + | 0.645852i | \(0.776502\pi\) | |||||||
\(140\) | −5.68736e12 | + | 3.90929e12i | −0.755341 | + | 0.519194i | ||||
\(141\) | −7.84814e12 | −0.998739 | ||||||||
\(142\) | −7.77831e11 | + | 1.34724e12i | −0.0948757 | + | 0.164330i | ||||
\(143\) | 2.02706e12 | − | 1.17032e12i | 0.237056 | − | 0.136864i | ||||
\(144\) | 2.30843e12 | + | 3.99832e12i | 0.258906 | + | 0.448438i | ||||
\(145\) | −4.26293e12 | − | 2.46121e12i | −0.458670 | − | 0.264813i | ||||
\(146\) | − | 1.11701e13i | − | 1.15329i | ||||||
\(147\) | 2.76825e12 | + | 1.74652e13i | 0.274348 | + | 1.73089i | ||||
\(148\) | −1.27006e12 | −0.120852 | ||||||||
\(149\) | 3.49144e12 | − | 6.04735e12i | 0.319071 | − | 0.552647i | −0.661224 | − | 0.750189i | \(-0.729963\pi\) |
0.980294 | + | 0.197542i | \(0.0632959\pi\) | |||||||
\(150\) | −2.88541e13 | + | 1.66589e13i | −2.53315 | + | 1.46251i | ||||
\(151\) | −8.25729e12 | − | 1.43021e13i | −0.696588 | − | 1.20653i | −0.969642 | − | 0.244527i | \(-0.921367\pi\) |
0.273054 | − | 0.961999i | \(-0.411966\pi\) | |||||||
\(152\) | 1.76940e12 | + | 1.02157e12i | 0.143471 | + | 0.0828332i | ||||
\(153\) | − | 1.42853e13i | − | 1.11363i | ||||||
\(154\) | −1.92002e12 | − | 2.79331e12i | −0.143940 | − | 0.209409i | ||||
\(155\) | −4.03389e12 | −0.290894 | ||||||||
\(156\) | 4.80986e12 | − | 8.33092e12i | 0.333722 | − | 0.578023i | ||||
\(157\) | 3.31570e12 | − | 1.91432e12i | 0.221400 | − | 0.127825i | −0.385199 | − | 0.922834i | \(-0.625867\pi\) |
0.606598 | + | 0.795009i | \(0.292534\pi\) | |||||||
\(158\) | 7.77232e12 | + | 1.34621e13i | 0.499584 | + | 0.865304i | ||||
\(159\) | 4.12075e13 | + | 2.37912e13i | 2.55032 | + | 1.47243i | ||||
\(160\) | − | 5.43677e12i | − | 0.324057i | ||||||
\(161\) | −1.28618e13 | + | 1.01298e12i | −0.738493 | + | 0.0581629i | ||||
\(162\) | 1.55780e13 | 0.861829 | ||||||||
\(163\) | 4.36203e12 | − | 7.55526e12i | 0.232575 | − | 0.402832i | −0.725990 | − | 0.687705i | \(-0.758618\pi\) |
0.958565 | + | 0.284873i | \(0.0919515\pi\) | |||||||
\(164\) | 4.41402e12 | − | 2.54844e12i | 0.226867 | − | 0.130982i | ||||
\(165\) | −1.16482e13 | − | 2.01753e13i | −0.577239 | − | 0.999808i | ||||
\(166\) | 1.48597e13 | + | 8.57922e12i | 0.710166 | + | 0.410015i | ||||
\(167\) | 2.37328e13i | 1.09408i | 0.837105 | + | 0.547042i | \(0.184246\pi\) | ||||
−0.837105 | + | 0.547042i | \(0.815754\pi\) | |||||||
\(168\) | −1.25738e13 | − | 5.99654e12i | −0.559258 | − | 0.266713i | ||||
\(169\) | 9.78062e12 | 0.419804 | ||||||||
\(170\) | −8.41110e12 | + | 1.45684e13i | −0.348465 | + | 0.603559i | ||||
\(171\) | 2.10145e13 | − | 1.21327e13i | 0.840508 | − | 0.485267i | ||||
\(172\) | 1.24710e13 | + | 2.16004e13i | 0.481649 | + | 0.834240i | ||||
\(173\) | −2.93747e12 | − | 1.69595e12i | −0.109571 | − | 0.0632610i | 0.444213 | − | 0.895921i | \(-0.353483\pi\) |
−0.553784 | + | 0.832660i | \(0.686817\pi\) | |||||||
\(174\) | − | 9.93600e12i | − | 0.358027i | ||||||
\(175\) | 2.91842e13 | − | 6.11950e13i | 1.01606 | − | 2.13053i | ||||
\(176\) | 2.67023e12 | 0.0898406 | ||||||||
\(177\) | −3.72753e13 | + | 6.45627e13i | −1.21222 | + | 2.09963i | ||||
\(178\) | 2.28492e13 | − | 1.31920e13i | 0.718376 | − | 0.414754i | ||||
\(179\) | 1.86704e13 | + | 3.23381e13i | 0.567591 | + | 0.983097i | 0.996803 | + | 0.0798933i | \(0.0254579\pi\) |
−0.429212 | + | 0.903204i | \(0.641209\pi\) | |||||||
\(180\) | −5.59195e13 | − | 3.22851e13i | −1.64410 | − | 0.949221i | ||||
\(181\) | − | 6.27891e13i | − | 1.78572i | −0.450336 | − | 0.892859i | \(-0.648696\pi\) | ||
0.450336 | − | 0.892859i | \(-0.351304\pi\) | |||||||
\(182\) | 1.53694e12 | + | 1.95145e13i | 0.0422892 | + | 0.536945i | ||||
\(183\) | −5.04719e13 | −1.34383 | ||||||||
\(184\) | 5.08184e12 | − | 8.80201e12i | 0.130953 | − | 0.226817i | ||||
\(185\) | 1.53830e13 | − | 8.88139e12i | 0.383717 | − | 0.221539i | ||||
\(186\) | −4.07125e12 | − | 7.05162e12i | −0.0983219 | − | 0.170299i | ||||
\(187\) | −7.15518e12 | − | 4.13105e12i | −0.167329 | − | 0.0966074i | ||||
\(188\) | 1.25809e13i | 0.284947i | ||||||||
\(189\) | −7.05169e13 | + | 4.84709e13i | −1.54712 | + | 1.06343i | ||||
\(190\) | −2.85747e13 | −0.607380 | ||||||||
\(191\) | 2.56179e13 | − | 4.43715e13i | 0.527647 | − | 0.913912i | −0.471833 | − | 0.881688i | \(-0.656408\pi\) |
0.999481 | − | 0.0322242i | \(-0.0102591\pi\) | |||||||
\(192\) | 9.50397e12 | − | 5.48712e12i | 0.189713 | − | 0.109531i | ||||
\(193\) | 1.20238e13 | + | 2.08258e13i | 0.232646 | + | 0.402955i | 0.958586 | − | 0.284803i | \(-0.0919282\pi\) |
−0.725940 | + | 0.687758i | \(0.758595\pi\) | |||||||
\(194\) | −2.26594e13 | − | 1.30824e13i | −0.425048 | − | 0.245402i | ||||
\(195\) | 1.34539e14i | 2.44704i | ||||||||
\(196\) | 2.79975e13 | − | 4.43762e12i | 0.493835 | − | 0.0782734i | ||||
\(197\) | −4.36796e13 | −0.747277 | −0.373638 | − | 0.927574i | \(-0.621890\pi\) | ||||
−0.373638 | + | 0.927574i | \(0.621890\pi\) | |||||||
\(198\) | 1.58566e13 | − | 2.74644e13i | 0.263159 | − | 0.455806i | ||||
\(199\) | 4.77602e13 | − | 2.75744e13i | 0.769038 | − | 0.444004i | −0.0634936 | − | 0.997982i | \(-0.520224\pi\) |
0.832531 | + | 0.553978i | \(0.186891\pi\) | |||||||
\(200\) | 2.67050e13 | + | 4.62544e13i | 0.417265 | + | 0.722725i | ||||
\(201\) | 1.64611e13 | + | 9.50384e12i | 0.249622 | + | 0.144119i | ||||
\(202\) | − | 2.24642e13i | − | 0.330660i | ||||||
\(203\) | 1.14529e13 | + | 1.66620e13i | 0.163658 | + | 0.238095i | ||||
\(204\) | −3.39560e13 | −0.471124 | ||||||||
\(205\) | −3.56418e13 | + | 6.17334e13i | −0.480216 | + | 0.831759i | ||||
\(206\) | −3.75433e13 | + | 2.16757e13i | −0.491281 | + | 0.283641i | ||||
\(207\) | −6.03549e13 | − | 1.04538e14i | −0.767168 | − | 1.32877i | ||||
\(208\) | −1.33548e13 | − | 7.71041e12i | −0.164914 | − | 0.0952133i | ||||
\(209\) | − | 1.40343e13i | − | 0.168388i | ||||||
\(210\) | 1.94228e14 | − | 1.52972e13i | 2.26462 | − | 0.178359i | ||||
\(211\) | 8.39869e13 | 0.951737 | 0.475868 | − | 0.879516i | \(-0.342134\pi\) | ||||
0.475868 | + | 0.879516i | \(0.342134\pi\) | |||||||
\(212\) | 3.81383e13 | − | 6.60575e13i | 0.420094 | − | 0.727624i | ||||
\(213\) | 3.80334e13 | − | 2.19586e13i | 0.407275 | − | 0.235140i | ||||
\(214\) | −2.66881e13 | − | 4.62251e13i | −0.277866 | − | 0.481277i | ||||
\(215\) | −3.02098e14 | − | 1.74416e14i | −3.05856 | − | 1.76586i | ||||
\(216\) | − | 6.74099e13i | − | 0.663744i | ||||||
\(217\) | 1.49554e13 | + | 7.13229e12i | 0.143231 | + | 0.0683079i | ||||
\(218\) | −2.65525e13 | −0.247381 | ||||||||
\(219\) | −1.57669e14 | + | 2.73091e14i | −1.42916 | + | 2.47538i | ||||
\(220\) | −3.23419e13 | + | 1.86726e13i | −0.285252 | + | 0.164691i | ||||
\(221\) | 2.38572e13 | + | 4.13218e13i | 0.204770 | + | 0.354671i | ||||
\(222\) | 3.10510e13 | + | 1.79273e13i | 0.259392 | + | 0.149760i | ||||
\(223\) | − | 3.32095e13i | − | 0.270043i | −0.990843 | − | 0.135022i | \(-0.956890\pi\) | ||
0.990843 | − | 0.135022i | \(-0.0431104\pi\) | |||||||
\(224\) | −9.61271e12 | + | 2.01564e13i | −0.0760953 | + | 0.159560i | ||||
\(225\) | 6.34328e14 | 4.88899 | ||||||||
\(226\) | −4.22582e13 | + | 7.31933e13i | −0.317147 | + | 0.549314i | ||||
\(227\) | 1.04402e14 | − | 6.02764e13i | 0.763050 | − | 0.440547i | −0.0673399 | − | 0.997730i | \(-0.521451\pi\) |
0.830390 | + | 0.557183i | \(0.188118\pi\) | |||||||
\(228\) | −2.88394e13 | − | 4.99513e13i | −0.205294 | − | 0.355580i | ||||
\(229\) | 1.87026e14 | + | 1.07979e14i | 1.29684 | + | 0.748734i | 0.979858 | − | 0.199696i | \(-0.0639955\pi\) |
0.316987 | + | 0.948430i | \(0.397329\pi\) | |||||||
\(230\) | 1.42147e14i | 0.960219i | ||||||||
\(231\) | 7.51309e12 | + | 9.53935e13i | 0.0494478 | + | 0.627837i | ||||
\(232\) | −1.59278e13 | −0.102148 | ||||||||
\(233\) | 6.88065e13 | − | 1.19176e14i | 0.430025 | − | 0.744826i | −0.566850 | − | 0.823821i | \(-0.691838\pi\) |
0.996875 | + | 0.0789955i | \(0.0251713\pi\) | |||||||
\(234\) | −1.58610e14 | + | 9.15733e13i | −0.966128 | + | 0.557794i | ||||
\(235\) | −8.79768e13 | − | 1.52380e14i | −0.522349 | − | 0.904735i | ||||
\(236\) | 1.03497e14 | + | 5.97539e13i | 0.599039 | + | 0.345855i | ||||
\(237\) | − | 4.38834e14i | − | 2.47634i | ||||||
\(238\) | 5.69418e13 | − | 3.91398e13i | 0.313307 | − | 0.215356i | ||||
\(239\) | −8.08731e13 | −0.433927 | −0.216963 | − | 0.976180i | \(-0.569615\pi\) | ||||
−0.216963 | + | 0.976180i | \(0.569615\pi\) | |||||||
\(240\) | −7.67416e13 | + | 1.32920e14i | −0.401572 | + | 0.695543i | ||||
\(241\) | −2.06069e14 | + | 1.18974e14i | −1.05174 | + | 0.607224i | −0.923137 | − | 0.384472i | \(-0.874383\pi\) |
−0.128606 | + | 0.991696i | \(0.541050\pi\) | |||||||
\(242\) | 6.18436e13 | + | 1.07116e14i | 0.307895 | + | 0.533290i | ||||
\(243\) | −4.61116e13 | − | 2.66225e13i | −0.223961 | − | 0.129304i | ||||
\(244\) | 8.09087e13i | 0.383404i | ||||||||
\(245\) | −3.08074e14 | + | 2.49532e14i | −1.42449 | + | 1.15380i | ||||
\(246\) | −1.43888e14 | −0.649251 | ||||||||
\(247\) | −4.05246e13 | + | 7.01907e13i | −0.178458 | + | 0.309099i | ||||
\(248\) | −1.13040e13 | + | 6.52639e12i | −0.0485874 | + | 0.0280520i | ||||
\(249\) | −2.42196e14 | − | 4.19497e14i | −1.01618 | − | 1.76008i | ||||
\(250\) | −3.72839e14 | − | 2.15259e14i | −1.52715 | − | 0.881700i | ||||
\(251\) | 1.50728e14i | 0.602771i | 0.953502 | + | 0.301385i | \(0.0974491\pi\) | ||||
−0.953502 | + | 0.301385i | \(0.902551\pi\) | |||||||
\(252\) | 1.50234e14 | + | 2.18565e14i | 0.586631 | + | 0.853450i | ||||
\(253\) | −6.98144e13 | −0.266208 | ||||||||
\(254\) | 5.46735e13 | − | 9.46974e13i | 0.203599 | − | 0.352643i | ||||
\(255\) | 4.11276e14 | − | 2.37450e14i | 1.49586 | − | 0.863637i | ||||
\(256\) | −8.79609e12 | − | 1.52353e13i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −1.68972e14 | − | 9.75562e13i | −0.586431 | − | 0.338576i | 0.177254 | − | 0.984165i | \(-0.443279\pi\) |
−0.763685 | + | 0.645589i | \(0.776612\pi\) | |||||||
\(258\) | − | 7.04127e14i | − | 2.38744i | ||||||
\(259\) | −7.27345e13 | + | 5.72849e12i | −0.240958 | + | 0.0189776i | ||||
\(260\) | 2.15672e14 | 0.698158 | ||||||||
\(261\) | −9.45841e13 | + | 1.63825e14i | −0.299209 | + | 0.518246i | ||||
\(262\) | 4.49243e13 | − | 2.59370e13i | 0.138891 | − | 0.0801886i | ||||
\(263\) | 1.44093e14 | + | 2.49577e14i | 0.435421 | + | 0.754171i | 0.997330 | − | 0.0730281i | \(-0.0232663\pi\) |
−0.561909 | + | 0.827199i | \(0.689933\pi\) | |||||||
\(264\) | −6.52828e13 | − | 3.76911e13i | −0.192830 | − | 0.111331i | ||||
\(265\) | 1.06679e15i | 3.08037i | ||||||||
\(266\) | 1.05939e14 | + | 5.05228e13i | 0.299064 | + | 0.142626i | ||||
\(267\) | −7.44836e14 | −2.05586 | ||||||||
\(268\) | 1.52351e13 | − | 2.63879e13i | 0.0411183 | − | 0.0712190i | ||||
\(269\) | 5.68820e14 | − | 3.28409e14i | 1.50128 | − | 0.866764i | 0.501280 | − | 0.865285i | \(-0.332863\pi\) |
0.999999 | − | 0.00147856i | \(-0.000470642\pi\) | |||||||
\(270\) | 4.71389e14 | + | 8.16470e14i | 1.21674 | + | 2.10745i | ||||
\(271\) | 2.47840e14 | + | 1.43090e14i | 0.625684 | + | 0.361239i | 0.779079 | − | 0.626926i | \(-0.215687\pi\) |
−0.153395 | + | 0.988165i | \(0.549021\pi\) | |||||||
\(272\) | 5.44329e13i | 0.134415i | ||||||||
\(273\) | 2.37877e14 | − | 4.98793e14i | 0.574615 | − | 1.20488i | ||||
\(274\) | 8.45742e13 | 0.199864 | ||||||||
\(275\) | 1.83437e14 | − | 3.17722e14i | 0.424121 | − | 0.734600i | ||||
\(276\) | −2.48486e14 | + | 1.43463e14i | −0.562143 | + | 0.324554i | ||||
\(277\) | −1.59957e14 | − | 2.77054e14i | −0.354100 | − | 0.613318i | 0.632864 | − | 0.774263i | \(-0.281879\pi\) |
−0.986963 | + | 0.160945i | \(0.948546\pi\) | |||||||
\(278\) | −3.65130e14 | − | 2.10808e14i | −0.791004 | − | 0.456687i | ||||
\(279\) | 1.55023e14i | 0.328677i | ||||||||
\(280\) | −2.45220e13 | − | 3.11355e14i | −0.0508871 | − | 0.646113i | ||||
\(281\) | −9.69587e13 | −0.196947 | −0.0984734 | − | 0.995140i | \(-0.531396\pi\) | ||||
−0.0984734 | + | 0.995140i | \(0.531396\pi\) | |||||||
\(282\) | 1.77583e14 | − | 3.07583e14i | 0.353107 | − | 0.611600i | ||||
\(283\) | 3.65013e14 | − | 2.10740e14i | 0.710541 | − | 0.410231i | −0.100720 | − | 0.994915i | \(-0.532115\pi\) |
0.811261 | + | 0.584683i | \(0.198781\pi\) | |||||||
\(284\) | −3.52006e13 | − | 6.09692e13i | −0.0670873 | − | 0.116199i | ||||
\(285\) | 6.98607e14 | + | 4.03341e14i | 1.30366 | + | 0.752667i | ||||
\(286\) | 1.05926e14i | 0.193555i | ||||||||
\(287\) | 2.41290e14 | − | 1.65854e14i | 0.431765 | − | 0.296780i | ||||
\(288\) | −2.08935e14 | −0.366148 | ||||||||
\(289\) | −2.07099e14 | + | 3.58707e14i | −0.355461 | + | 0.615676i | ||||
\(290\) | 1.92918e14 | − | 1.11381e14i | 0.324329 | − | 0.187251i | ||||
\(291\) | 3.69324e14 | + | 6.39689e14i | 0.608205 | + | 1.05344i | ||||
\(292\) | 4.37776e14 | + | 2.52750e14i | 0.706244 | + | 0.407750i | ||||
\(293\) | − | 8.21912e14i | − | 1.29903i | −0.760348 | − | 0.649516i | \(-0.774972\pi\) | ||
0.760348 | − | 0.649516i | \(-0.225028\pi\) | |||||||
\(294\) | −7.47131e14 | − | 2.86699e14i | −1.15695 | − | 0.443959i | ||||
\(295\) | −1.67141e15 | −2.53601 | ||||||||
\(296\) | 2.87382e13 | − | 4.97760e13i | 0.0427277 | − | 0.0740065i | ||||
\(297\) | −4.01003e14 | + | 2.31519e14i | −0.584264 | + | 0.337325i | ||||
\(298\) | 1.58005e14 | + | 2.73672e14i | 0.225617 | + | 0.390780i | ||||
\(299\) | 3.49168e14 | + | 2.01592e14i | 0.488661 | + | 0.282128i | ||||
\(300\) | − | 1.50779e15i | − | 2.06831i | ||||||
\(301\) | 8.11621e14 | + | 1.18077e15i | 1.09133 | + | 1.58770i | ||||
\(302\) | 7.47365e14 | 0.985124 | ||||||||
\(303\) | −3.17088e14 | + | 5.49213e14i | −0.409755 | + | 0.709717i | ||||
\(304\) | −8.00740e13 | + | 4.62308e13i | −0.101450 | + | 0.0585719i | ||||
\(305\) | −5.65785e14 | − | 9.79968e14i | −0.702833 | − | 1.21734i | ||||
\(306\) | 5.59865e14 | + | 3.23238e14i | 0.681954 | + | 0.393726i | ||||
\(307\) | 3.43884e14i | 0.410754i | 0.978683 | + | 0.205377i | \(0.0658421\pi\) | ||||
−0.978683 | + | 0.205377i | \(0.934158\pi\) | |||||||
\(308\) | 1.52920e14 | − | 1.20438e13i | 0.179126 | − | 0.0141078i | ||||
\(309\) | 1.22383e15 | 1.40595 | ||||||||
\(310\) | 9.12766e13 | − | 1.58096e14i | 0.102846 | − | 0.178135i | ||||
\(311\) | −2.29549e14 | + | 1.32530e14i | −0.253695 | + | 0.146471i | −0.621455 | − | 0.783450i | \(-0.713458\pi\) |
0.367760 | + | 0.929921i | \(0.380125\pi\) | |||||||
\(312\) | 2.17669e14 | + | 3.77014e14i | 0.235977 | + | 0.408724i | ||||
\(313\) | −4.22792e14 | − | 2.44099e14i | −0.449635 | − | 0.259597i | 0.258041 | − | 0.966134i | \(-0.416923\pi\) |
−0.707676 | + | 0.706537i | \(0.750256\pi\) | |||||||
\(314\) | 1.73264e14i | 0.180772i | ||||||||
\(315\) | −3.34804e15 | − | 1.59670e15i | −3.42711 | − | 1.63441i | ||||
\(316\) | −7.03470e14 | −0.706518 | ||||||||
\(317\) | 9.51743e14 | − | 1.64847e15i | 0.937916 | − | 1.62452i | 0.168567 | − | 0.985690i | \(-0.446086\pi\) |
0.769349 | − | 0.638829i | \(-0.220581\pi\) | |||||||
\(318\) | −1.86484e15 | + | 1.07667e15i | −1.80335 | + | 1.04116i | ||||
\(319\) | 5.47042e13 | + | 9.47504e13i | 0.0519130 | + | 0.0899160i | ||||
\(320\) | 2.13077e14 | + | 1.23020e14i | 0.198443 | + | 0.114571i | ||||
\(321\) | 1.50684e15i | 1.37733i | ||||||||
\(322\) | 2.51329e14 | − | 5.26999e14i | 0.225479 | − | 0.472796i | ||||
\(323\) | 2.86090e14 | 0.251934 | ||||||||
\(324\) | −3.52489e14 | + | 6.10530e14i | −0.304703 | + | 0.527760i | ||||
\(325\) | −1.83487e15 | + | 1.05936e15i | −1.55706 | + | 0.898969i | ||||
\(326\) | 1.97403e14 | + | 3.41912e14i | 0.164455 | + | 0.284845i | ||||
\(327\) | 6.49166e14 | + | 3.74796e14i | 0.530969 | + | 0.306555i | ||||
\(328\) | 2.30658e14i | 0.185236i | ||||||||
\(329\) | 5.67449e13 | + | 7.20489e14i | 0.0447457 | + | 0.568135i | ||||
\(330\) | 1.05428e15 | 0.816340 | ||||||||
\(331\) | 9.11691e14 | − | 1.57910e15i | 0.693234 | − | 1.20072i | −0.277539 | − | 0.960714i | \(-0.589519\pi\) |
0.970772 | − | 0.240002i | \(-0.0771480\pi\) | |||||||
\(332\) | −6.72471e14 | + | 3.88251e14i | −0.502164 | + | 0.289924i | ||||
\(333\) | −3.41312e14 | − | 5.91169e14i | −0.250314 | − | 0.433557i | ||||
\(334\) | −9.30133e14 | − | 5.37013e14i | −0.669987 | − | 0.386817i | ||||
\(335\) | 4.26148e14i | 0.301503i | ||||||||
\(336\) | 5.19529e14 | − | 3.57106e14i | 0.361056 | − | 0.248177i | ||||
\(337\) | 2.27987e15 | 1.55643 | 0.778217 | − | 0.627996i | \(-0.216125\pi\) | ||||
0.778217 | + | 0.627996i | \(0.216125\pi\) | |||||||
\(338\) | −2.21310e14 | + | 3.83320e14i | −0.148423 | + | 0.257076i | ||||
\(339\) | 2.06629e15 | − | 1.19297e15i | 1.36142 | − | 0.786017i | ||||
\(340\) | −3.80643e14 | − | 6.59293e14i | −0.246402 | − | 0.426781i | ||||
\(341\) | 7.76476e13 | + | 4.48298e13i | 0.0493857 | + | 0.0285129i | ||||
\(342\) | 1.09813e15i | 0.686272i | ||||||||
\(343\) | 1.58336e15 | − | 3.80416e14i | 0.972330 | − | 0.233611i | ||||
\(344\) | −1.12875e15 | −0.681154 | ||||||||
\(345\) | 2.00644e15 | − | 3.47526e15i | 1.18991 | − | 2.06098i | ||||
\(346\) | 1.32935e14 | − | 7.67498e13i | 0.0774786 | − | 0.0447323i | ||||
\(347\) | −5.88203e14 | − | 1.01880e15i | −0.336938 | − | 0.583594i | 0.646917 | − | 0.762560i | \(-0.276058\pi\) |
−0.983855 | + | 0.178966i | \(0.942725\pi\) | |||||||
\(348\) | 3.89410e14 | + | 2.24826e14i | 0.219246 | + | 0.126582i | ||||
\(349\) | 2.60435e15i | 1.44128i | 0.693312 | + | 0.720638i | \(0.256151\pi\) | ||||
−0.693312 | + | 0.720638i | \(0.743849\pi\) | |||||||
\(350\) | 1.73798e15 | + | 2.52847e15i | 0.945445 | + | 1.37546i | ||||
\(351\) | 2.67409e15 | 1.42999 | ||||||||
\(352\) | −6.04204e13 | + | 1.04651e14i | −0.0317634 | + | 0.0550159i | ||||
\(353\) | −2.52966e15 | + | 1.46050e15i | −1.30742 | + | 0.754837i | −0.981664 | − | 0.190619i | \(-0.938951\pi\) |
−0.325752 | + | 0.945455i | \(0.605617\pi\) | |||||||
\(354\) | −1.68689e15 | − | 2.92178e15i | −0.857169 | − | 1.48466i | ||||
\(355\) | 8.52701e14 | + | 4.92307e14i | 0.426017 | + | 0.245961i | ||||
\(356\) | 1.19400e15i | 0.586551i | ||||||||
\(357\) | −1.94461e15 | + | 1.53155e14i | −0.939339 | + | 0.0739813i | ||||
\(358\) | −1.68985e15 | −0.802695 | ||||||||
\(359\) | −1.29215e15 | + | 2.23806e15i | −0.603594 | + | 1.04546i | 0.388678 | + | 0.921374i | \(0.372932\pi\) |
−0.992272 | + | 0.124082i | \(0.960401\pi\) | |||||||
\(360\) | 2.53063e15 | − | 1.46106e15i | 1.16255 | − | 0.671201i | ||||
\(361\) | −8.63676e14 | − | 1.49593e15i | −0.390218 | − | 0.675878i | ||||
\(362\) | 2.46082e15 | + | 1.42076e15i | 1.09352 | + | 0.631347i | ||||
\(363\) | − | 3.49176e15i | − | 1.52618i | ||||||
\(364\) | −7.99587e14 | − | 3.81328e14i | −0.343762 | − | 0.163942i | ||||
\(365\) | −7.06981e15 | −2.98986 | ||||||||
\(366\) | 1.14205e15 | − | 1.97809e15i | 0.475115 | − | 0.822923i | ||||
\(367\) | −1.58874e15 | + | 9.17258e14i | −0.650213 | + | 0.375401i | −0.788538 | − | 0.614986i | \(-0.789162\pi\) |
0.138325 | + | 0.990387i | \(0.455828\pi\) | |||||||
\(368\) | 2.29978e14 | + | 3.98333e14i | 0.0925975 | + | 0.160384i | ||||
\(369\) | 2.37242e15 | + | 1.36971e15i | 0.939794 | + | 0.542590i | ||||
\(370\) | 8.03852e14i | 0.313304i | ||||||||
\(371\) | 1.88618e15 | − | 3.95503e15i | 0.723334 | − | 1.51672i | ||||
\(372\) | 3.68488e14 | 0.139048 | ||||||||
\(373\) | 6.72013e14 | − | 1.16396e15i | 0.249531 | − | 0.432201i | −0.713865 | − | 0.700284i | \(-0.753057\pi\) |
0.963396 | + | 0.268083i | \(0.0863901\pi\) | |||||||
\(374\) | 3.23807e14 | − | 1.86950e14i | 0.118319 | − | 0.0683118i | ||||
\(375\) | 6.07688e15 | + | 1.05255e16i | 2.18521 | + | 3.78489i | ||||
\(376\) | −4.93069e14 | − | 2.84673e14i | −0.174494 | − | 0.100744i | ||||
\(377\) | − | 6.31843e14i | − | 0.220070i | ||||||
\(378\) | −3.04045e14 | − | 3.86046e15i | −0.104229 | − | 1.32339i | ||||
\(379\) | 4.93312e15 | 1.66451 | 0.832255 | − | 0.554392i | \(-0.187049\pi\) | ||||
0.832255 | + | 0.554392i | \(0.187049\pi\) | |||||||
\(380\) | 6.46573e14 | − | 1.11990e15i | 0.214741 | − | 0.371943i | ||||
\(381\) | −2.67336e15 | + | 1.54347e15i | −0.873993 | + | 0.504600i | ||||
\(382\) | 1.15933e15 | + | 2.00803e15i | 0.373103 | + | 0.646233i | ||||
\(383\) | −4.20093e15 | − | 2.42541e15i | −1.33092 | − | 0.768409i | −0.345482 | − | 0.938425i | \(-0.612285\pi\) |
−0.985441 | + | 0.170016i | \(0.945618\pi\) | |||||||
\(384\) | 4.96638e14i | 0.154900i | ||||||||
\(385\) | −1.76795e15 | + | 1.21523e15i | −0.542882 | + | 0.373158i | ||||
\(386\) | −1.08827e15 | −0.329012 | ||||||||
\(387\) | −6.70282e15 | + | 1.16096e16i | −1.99523 | + | 3.45583i | ||||
\(388\) | 1.02545e15 | − | 5.92043e14i | 0.300555 | − | 0.173525i | ||||
\(389\) | −3.03030e15 | − | 5.24863e15i | −0.874555 | − | 1.51477i | −0.857236 | − | 0.514924i | \(-0.827820\pi\) |
−0.0173199 | − | 0.999850i | \(-0.505513\pi\) | |||||||
\(390\) | −5.27283e15 | − | 3.04427e15i | −1.49850 | − | 0.865159i | ||||
\(391\) | − | 1.42317e15i | − | 0.398288i | ||||||
\(392\) | −4.59591e14 | + | 1.19768e15i | −0.126665 | + | 0.330085i | ||||
\(393\) | −1.46443e15 | −0.397479 | ||||||||
\(394\) | 9.88357e14 | − | 1.71188e15i | 0.264202 | − | 0.457612i | ||||
\(395\) | 8.52045e15 | − | 4.91928e15i | 2.24326 | − | 1.29515i | ||||
\(396\) | 7.17588e14 | + | 1.24290e15i | 0.186082 | + | 0.322303i | ||||
\(397\) | −2.17623e15 | − | 1.25645e15i | −0.555856 | − | 0.320923i | 0.195625 | − | 0.980679i | \(-0.437327\pi\) |
−0.751480 | + | 0.659755i | \(0.770660\pi\) | |||||||
\(398\) | 2.49575e15i | 0.627917i | ||||||||
\(399\) | −1.87689e15 | − | 2.73056e15i | −0.465158 | − | 0.676727i | ||||
\(400\) | −2.41706e15 | −0.590102 | ||||||||
\(401\) | −3.78182e15 | + | 6.55030e15i | −0.909567 | + | 1.57542i | −0.0949001 | + | 0.995487i | \(0.530253\pi\) |
−0.814667 | + | 0.579929i | \(0.803080\pi\) | |||||||
\(402\) | −7.44946e14 | + | 4.30094e14i | −0.176510 | + | 0.101908i | ||||
\(403\) | −2.58896e14 | − | 4.48422e14i | −0.0604360 | − | 0.104678i | ||||
\(404\) | 8.80412e14 | + | 5.08306e14i | 0.202487 | + | 0.116906i | ||||
\(405\) | − | 9.85967e15i | − | 2.23425i | ||||||
\(406\) | −9.12163e14 | + | 7.18409e13i | −0.203665 | + | 0.0160404i | ||||
\(407\) | −3.94806e14 | −0.0868594 | ||||||||
\(408\) | 7.68336e14 | − | 1.33080e15i | 0.166567 | − | 0.288503i | ||||
\(409\) | 1.55745e15 | − | 8.99196e14i | 0.332717 | − | 0.192094i | −0.324330 | − | 0.945944i | \(-0.605139\pi\) |
0.657047 | + | 0.753850i | \(0.271805\pi\) | |||||||
\(410\) | −1.61296e15 | − | 2.79374e15i | −0.339564 | − | 0.588142i | ||||
\(411\) | −2.06770e15 | − | 1.19379e15i | −0.428980 | − | 0.247672i | ||||
\(412\) | − | 1.96186e15i | − | 0.401129i | ||||||
\(413\) | 6.19662e15 | + | 2.95520e15i | 1.24869 | + | 0.595507i | ||||
\(414\) | 5.46270e15 | 1.08494 | ||||||||
\(415\) | 5.42999e15 | − | 9.40502e15i | 1.06294 | − | 1.84107i | ||||
\(416\) | 6.04370e14 | − | 3.48933e14i | 0.116612 | − | 0.0673260i | ||||
\(417\) | 5.95123e15 | + | 1.03078e16i | 1.13185 | + | 1.96043i | ||||
\(418\) | 5.50029e14 | + | 3.17559e14i | 0.103116 | + | 0.0595343i | ||||
\(419\) | 3.84397e15i | 0.710388i | 0.934793 | + | 0.355194i | \(0.115585\pi\) | ||||
−0.934793 | + | 0.355194i | \(0.884415\pi\) | |||||||
\(420\) | −3.79535e15 | + | 7.95828e15i | −0.691442 | + | 1.44985i | ||||
\(421\) | 3.28944e14 | 0.0590784 | 0.0295392 | − | 0.999564i | \(-0.490596\pi\) | ||||
0.0295392 | + | 0.999564i | \(0.490596\pi\) | |||||||
\(422\) | −1.90041e15 | + | 3.29160e15i | −0.336490 | + | 0.582817i | ||||
\(423\) | −5.85597e15 | + | 3.38095e15i | −1.02225 | + | 0.590196i | ||||
\(424\) | 1.72594e15 | + | 2.98942e15i | 0.297051 | + | 0.514508i | ||||
\(425\) | 6.47679e15 | + | 3.73937e15i | 1.09907 | + | 0.634549i | ||||
\(426\) | 1.98747e15i | 0.332539i | ||||||||
\(427\) | 3.64931e14 | + | 4.63352e15i | 0.0602065 | + | 0.764440i | ||||
\(428\) | 2.41553e15 | 0.392961 | ||||||||
\(429\) | 1.49517e15 | − | 2.58971e15i | 0.239854 | − | 0.415440i | ||||
\(430\) | 1.36714e16 | − | 7.89319e15i | 2.16273 | − | 1.24865i | ||||
\(431\) | −5.88391e14 | − | 1.01912e15i | −0.0917915 | − | 0.158987i | 0.816474 | − | 0.577383i | \(-0.195926\pi\) |
−0.908265 | + | 0.418395i | \(0.862593\pi\) | |||||||
\(432\) | 2.64192e15 | + | 1.52531e15i | 0.406459 | + | 0.234669i | ||||
\(433\) | − | 4.01155e15i | − | 0.608675i | −0.952564 | − | 0.304337i | \(-0.901565\pi\) | ||
0.952564 | − | 0.304337i | \(-0.0984350\pi\) | |||||||
\(434\) | −6.17929e14 | + | 4.24742e14i | −0.0924698 | + | 0.0635605i | ||||
\(435\) | −6.28873e15 | −0.928169 | ||||||||
\(436\) | 6.00815e14 | − | 1.04064e15i | 0.0874624 | − | 0.151489i | ||||
\(437\) | 2.09357e15 | − | 1.20872e15i | 0.300607 | − | 0.173556i | ||||
\(438\) | −7.13528e15 | − | 1.23587e16i | −1.01057 | − | 1.75036i | ||||
\(439\) | 1.80698e15 | + | 1.04326e15i | 0.252445 | + | 0.145749i | 0.620883 | − | 0.783903i | \(-0.286774\pi\) |
−0.368438 | + | 0.929652i | \(0.620107\pi\) | |||||||
\(440\) | − | 1.69005e15i | − | 0.232908i | ||||||
\(441\) | 9.58949e15 | + | 1.18393e16i | 1.30366 | + | 1.60951i | ||||
\(442\) | −2.15931e15 | −0.289588 | ||||||||
\(443\) | 1.41208e15 | − | 2.44579e15i | 0.186825 | − | 0.323591i | −0.757365 | − | 0.652992i | \(-0.773513\pi\) |
0.944190 | + | 0.329401i | \(0.106847\pi\) | |||||||
\(444\) | −1.40521e15 | + | 8.11296e14i | −0.183418 | + | 0.105897i | ||||
\(445\) | −8.34953e15 | − | 1.44618e16i | −1.07523 | − | 1.86236i | ||||
\(446\) | 1.30154e15 | + | 7.51445e14i | 0.165367 | + | 0.0954747i | ||||
\(447\) | − | 8.92112e15i | − | 1.11834i | ||||||
\(448\) | −5.72456e14 | − | 8.32827e14i | −0.0708066 | − | 0.103012i | ||||
\(449\) | −1.42097e14 | −0.0173424 | −0.00867118 | − | 0.999962i | \(-0.502760\pi\) | ||||
−0.00867118 | + | 0.999962i | \(0.502760\pi\) | |||||||
\(450\) | −1.43532e16 | + | 2.48605e16i | −1.72852 | + | 2.99388i | ||||
\(451\) | 1.37212e15 | − | 7.92196e14i | 0.163055 | − | 0.0941398i | ||||
\(452\) | −1.91239e15 | − | 3.31235e15i | −0.224256 | − | 0.388424i | ||||
\(453\) | −1.82719e16 | − | 1.05493e16i | −2.11443 | − | 1.22077i | ||||
\(454\) | 5.45560e15i | 0.623028i | ||||||||
\(455\) | 1.23512e16 | − | 9.72767e14i | 1.39201 | − | 0.109633i | ||||
\(456\) | 2.61024e15 | 0.290330 | ||||||||
\(457\) | 2.95164e15 | − | 5.11239e15i | 0.324016 | − | 0.561212i | −0.657297 | − | 0.753632i | \(-0.728300\pi\) |
0.981313 | + | 0.192420i | \(0.0616336\pi\) | |||||||
\(458\) | −8.46381e15 | + | 4.88658e15i | −0.917008 | + | 0.529435i | ||||
\(459\) | −4.71954e15 | − | 8.17449e15i | −0.504689 | − | 0.874147i | ||||
\(460\) | −5.57100e15 | − | 3.21642e15i | −0.588012 | − | 0.339489i | ||||
\(461\) | 1.37058e16i | 1.42791i | 0.700193 | + | 0.713953i | \(0.253097\pi\) | ||||
−0.700193 | + | 0.713953i | \(0.746903\pi\) | |||||||
\(462\) | −3.90865e15 | − | 1.86406e15i | −0.401953 | − | 0.191694i | ||||
\(463\) | −9.94231e15 | −1.00926 | −0.504628 | − | 0.863337i | \(-0.668370\pi\) | ||||
−0.504628 | + | 0.863337i | \(0.668370\pi\) | |||||||
\(464\) | 3.60406e14 | − | 6.24241e14i | 0.0361147 | − | 0.0625525i | ||||
\(465\) | −4.46313e15 | + | 2.57679e15i | −0.441491 | + | 0.254895i | ||||
\(466\) | 3.11383e15 | + | 5.39331e15i | 0.304074 | + | 0.526671i | ||||
\(467\) | −7.16664e15 | − | 4.13766e15i | −0.690899 | − | 0.398891i | 0.113050 | − | 0.993589i | \(-0.463938\pi\) |
−0.803949 | + | 0.594699i | \(0.797271\pi\) | |||||||
\(468\) | − | 8.28827e15i | − | 0.788840i | ||||||
\(469\) | 7.53468e14 | − | 1.57991e15i | 0.0707991 | − | 0.148455i | ||||
\(470\) | 7.96275e15 | 0.738713 | ||||||||
\(471\) | 2.44568e15 | − | 4.23604e15i | 0.224013 | − | 0.388002i | ||||
\(472\) | −4.68373e15 | + | 2.70415e15i | −0.423584 | + | 0.244557i | ||||
\(473\) | 3.87668e15 | + | 6.71461e15i | 0.346173 | + | 0.599589i | ||||
\(474\) | 1.71987e16 | + | 9.92968e15i | 1.51644 | + | 0.875519i | ||||
\(475\) | 1.27037e16i | 1.10603i | ||||||||
\(476\) | 2.45514e14 | + | 3.11729e15i | 0.0211074 | + | 0.268000i | ||||
\(477\) | 4.09966e16 | 3.48047 | ||||||||
\(478\) | 1.82995e15 | − | 3.16956e15i | 0.153416 | − | 0.265725i | ||||
\(479\) | −7.40456e15 | + | 4.27502e15i | −0.613036 | + | 0.353937i | −0.774153 | − | 0.632999i | \(-0.781824\pi\) |
0.161117 | + | 0.986935i | \(0.448490\pi\) | |||||||
\(480\) | −3.47293e15 | − | 6.01529e15i | −0.283954 | − | 0.491823i | ||||
\(481\) | 1.97457e15 | + | 1.14002e15i | 0.159442 | + | 0.0920538i | ||||
\(482\) | − | 1.07683e16i | − | 0.858744i | ||||||
\(483\) | −1.35833e16 | + | 9.33669e15i | −1.06985 | + | 0.735377i | ||||
\(484\) | −5.59745e15 | −0.435429 | ||||||||
\(485\) | −8.28017e15 | + | 1.43417e16i | −0.636193 | + | 1.10192i | ||||
\(486\) | 2.08677e15 | − | 1.20480e15i | 0.158364 | − | 0.0914316i | ||||
\(487\) | 5.51456e15 | + | 9.55149e15i | 0.413368 | + | 0.715974i | 0.995256 | − | 0.0972948i | \(-0.0310190\pi\) |
−0.581888 | + | 0.813269i | \(0.697686\pi\) | |||||||
\(488\) | −3.17096e15 | − | 1.83076e15i | −0.234786 | − | 0.135554i | ||||
\(489\) | − | 1.11456e16i | − | 0.815174i | ||||||
\(490\) | −2.80868e15 | − | 1.77202e16i | −0.202920 | − | 1.28025i | ||||
\(491\) | −1.67478e16 | −1.19528 | −0.597640 | − | 0.801765i | \(-0.703895\pi\) | ||||
−0.597640 | + | 0.801765i | \(0.703895\pi\) | |||||||
\(492\) | 3.25581e15 | − | 5.63922e15i | 0.229545 | − | 0.397584i | ||||
\(493\) | −1.93150e15 | + | 1.11515e15i | −0.134528 | + | 0.0776697i | ||||
\(494\) | −1.83393e15 | − | 3.17647e15i | −0.126189 | − | 0.218566i | ||||
\(495\) | −1.73829e16 | − | 1.00360e16i | −1.18166 | − | 0.682229i | ||||
\(496\) | − | 5.90702e14i | − | 0.0396715i | ||||||
\(497\) | −2.29088e15 | − | 3.33285e15i | −0.152007 | − | 0.221145i | ||||
\(498\) | 2.19211e16 | 1.43710 | ||||||||
\(499\) | −5.39490e15 | + | 9.34425e15i | −0.349446 | + | 0.605259i | −0.986151 | − | 0.165849i | \(-0.946964\pi\) |
0.636705 | + | 0.771108i | \(0.280297\pi\) | |||||||
\(500\) | 1.68728e16 | − | 9.74150e15i | 1.07986 | − | 0.623456i | ||||
\(501\) | 1.51602e16 | + | 2.62582e16i | 0.958689 | + | 1.66050i | ||||
\(502\) | −5.90732e15 | − | 3.41059e15i | −0.369120 | − | 0.213112i | ||||
\(503\) | − | 2.92066e16i | − | 1.80332i | −0.432446 | − | 0.901660i | \(-0.642349\pi\) | ||
0.432446 | − | 0.901660i | \(-0.357651\pi\) | |||||||
\(504\) | −1.19654e16 | + | 9.42381e14i | −0.730035 | + | 0.0574967i | ||||
\(505\) | −1.42181e16 | −0.857222 | ||||||||
\(506\) | 1.57972e15 | − | 2.73615e15i | 0.0941189 | − | 0.163019i | ||||
\(507\) | 1.08214e16 | − | 6.24771e15i | 0.637139 | − | 0.367852i | ||||
\(508\) | 2.47424e15 | + | 4.28551e15i | 0.143966 | + | 0.249356i | ||||
\(509\) | −1.07738e16 | − | 6.22024e15i | −0.619528 | − | 0.357685i | 0.157157 | − | 0.987574i | \(-0.449767\pi\) |
−0.776685 | + | 0.629889i | \(0.783100\pi\) | |||||||
\(510\) | 2.14915e16i | 1.22137i | ||||||||
\(511\) | 2.62108e16 | + | 1.25001e16i | 1.47216 | + | 0.702080i | ||||
\(512\) | 7.96131e14 | 0.0441942 | ||||||||
\(513\) | 8.01678e15 | − | 1.38855e16i | 0.439841 | − | 0.761827i | ||||
\(514\) | 7.64682e15 | − | 4.41489e15i | 0.414669 | − | 0.239409i | ||||
\(515\) | 1.37190e16 | + | 2.37621e16i | 0.735326 | + | 1.27362i | ||||
\(516\) | 2.75960e16 | + | 1.59326e16i | 1.46200 | + | 0.844088i | ||||
\(517\) | 3.91084e15i | 0.204799i | ||||||||
\(518\) | 1.42128e15 | − | 2.98022e15i | 0.0735702 | − | 0.154266i | ||||
\(519\) | −4.33338e15 | −0.221729 | ||||||||
\(520\) | −4.88010e15 | + | 8.45258e15i | −0.246836 | + | 0.427533i | ||||
\(521\) | 1.31014e16 | − | 7.56411e15i | 0.655076 | − | 0.378208i | −0.135322 | − | 0.990802i | \(-0.543207\pi\) |
0.790398 | + | 0.612593i | \(0.209874\pi\) | |||||||
\(522\) | −4.28039e15 | − | 7.41385e15i | −0.211573 | − | 0.366455i | ||||
\(523\) | 2.35553e16 | + | 1.35997e16i | 1.15101 | + | 0.664535i | 0.949133 | − | 0.314877i | \(-0.101963\pi\) |
0.201875 | + | 0.979411i | \(0.435296\pi\) | |||||||
\(524\) | 2.34755e15i | 0.113404i | ||||||||
\(525\) | −6.80076e15 | − | 8.63491e16i | −0.324789 | − | 4.12384i | ||||
\(526\) | −1.30418e16 | −0.615778 | ||||||||
\(527\) | −9.13860e14 | + | 1.58285e15i | −0.0426595 | + | 0.0738885i | ||||
\(528\) | 2.95436e15 | − | 1.70570e15i | 0.136352 | − | 0.0787227i | ||||
\(529\) | 4.94444e15 | + | 8.56401e15i | 0.225623 | + | 0.390790i | ||||
\(530\) | −4.18093e16 | − | 2.41386e16i | −1.88633 | − | 1.08907i | ||||
\(531\) | 6.42322e16i | 2.86540i | ||||||||
\(532\) | −4.37720e15 | + | 3.00873e15i | −0.193075 | + | 0.132713i | ||||
\(533\) | −9.15000e15 | −0.399078 | ||||||||
\(534\) | 1.68537e16 | − | 2.91915e16i | 0.726856 | − | 1.25895i | ||||
\(535\) | −2.92570e16 | + | 1.68915e16i | −1.24769 | + | 0.720354i | ||||
\(536\) | 6.89460e14 | + | 1.19418e15i | 0.0290750 | + | 0.0503595i | ||||
\(537\) | 4.13142e16 | + | 2.38528e16i | 1.72287 | + | 0.994702i | ||||
\(538\) | 2.97241e16i | 1.22579i | ||||||||
\(539\) | 8.70317e15 | − | 1.37946e15i | 0.354932 | − | 0.0562570i | ||||
\(540\) | −4.26653e16 | −1.72073 | ||||||||
\(541\) | 1.04916e15 | − | 1.81721e15i | 0.0418466 | − | 0.0724804i | −0.844344 | − | 0.535802i | \(-0.820009\pi\) |
0.886190 | + | 0.463322i | \(0.153343\pi\) | |||||||
\(542\) | −1.12159e16 | + | 6.47553e15i | −0.442425 | + | 0.255434i | ||||
\(543\) | −4.01088e16 | − | 6.94704e16i | −1.56473 | − | 2.71020i | ||||
\(544\) | −2.13332e15 | − | 1.23168e15i | −0.0823121 | − | 0.0475229i | ||||
\(545\) | 1.68057e16i | 0.641324i | ||||||||
\(546\) | 1.41661e16 | + | 2.06093e16i | 0.534680 | + | 0.777869i | ||||
\(547\) | −1.14563e16 | −0.427680 | −0.213840 | − | 0.976869i | \(-0.568597\pi\) | ||||
−0.213840 | + | 0.976869i | \(0.568597\pi\) | |||||||
\(548\) | −1.91370e15 | + | 3.31462e15i | −0.0706626 | + | 0.122391i | ||||
\(549\) | −3.76602e16 | + | 2.17431e16i | −1.37546 | + | 0.794123i | ||||
\(550\) | 8.30140e15 | + | 1.43784e16i | 0.299899 | + | 0.519440i | ||||
\(551\) | −3.28091e15 | − | 1.89423e15i | −0.117242 | − | 0.0676898i | ||||
\(552\) | − | 1.29848e16i | − | 0.458988i | ||||||
\(553\) | −4.02866e16 | + | 3.17293e15i | −1.40867 | + | 0.110946i | ||||
\(554\) | 1.44777e16 | 0.500772 | ||||||||
\(555\) | 1.13466e16 | − | 1.96529e16i | 0.388247 | − | 0.672463i | ||||
\(556\) | 1.65239e16 | − | 9.54008e15i | 0.559324 | − | 0.322926i | ||||
\(557\) | −2.70772e15 | − | 4.68991e15i | −0.0906719 | − | 0.157048i | 0.817122 | − | 0.576465i | \(-0.195568\pi\) |
−0.907794 | + | 0.419416i | \(0.862235\pi\) | |||||||
\(558\) | −6.07562e15 | − | 3.50776e15i | −0.201273 | − | 0.116205i | ||||
\(559\) | − | 4.47764e16i | − | 1.46750i | ||||||
\(560\) | 1.27575e16 | + | 6.08411e15i | 0.413653 | + | 0.197273i | ||||
\(561\) | −1.05554e16 | −0.338608 | ||||||||
\(562\) | 2.19392e15 | − | 3.79999e15i | 0.0696312 | − | 0.120605i | ||||
\(563\) | 2.17952e16 | − | 1.25834e16i | 0.684400 | − | 0.395138i | −0.117111 | − | 0.993119i | \(-0.537363\pi\) |
0.801511 | + | 0.597981i | \(0.204030\pi\) | |||||||
\(564\) | 8.03649e15 | + | 1.39196e16i | 0.249685 | + | 0.432467i | ||||
\(565\) | 4.63257e16 | + | 2.67462e16i | 1.42407 | + | 0.822188i | ||||
\(566\) | 1.90740e16i | 0.580155i | ||||||||
\(567\) | −1.74328e16 | + | 3.65540e16i | −0.524649 | + | 1.10011i | ||||
\(568\) | 3.18600e15 | 0.0948757 | ||||||||
\(569\) | −9.49751e15 | + | 1.64502e16i | −0.279857 | + | 0.484727i | −0.971349 | − | 0.237657i | \(-0.923620\pi\) |
0.691492 | + | 0.722384i | \(0.256954\pi\) | |||||||
\(570\) | −3.16153e16 | + | 1.82531e16i | −0.921825 | + | 0.532216i | ||||
\(571\) | −3.03472e16 | − | 5.25629e16i | −0.875593 | − | 1.51657i | −0.856130 | − | 0.516761i | \(-0.827137\pi\) |
−0.0194636 | − | 0.999811i | \(-0.506196\pi\) | |||||||
\(572\) | −4.15142e15 | − | 2.39682e15i | −0.118528 | − | 0.0684321i | ||||
\(573\) | − | 6.54574e16i | − | 1.84940i | ||||||
\(574\) | 1.04036e15 | + | 1.32094e16i | 0.0290879 | + | 0.369328i | ||||
\(575\) | 6.31951e16 | 1.74854 | ||||||||
\(576\) | 4.72766e15 | − | 8.18855e15i | 0.129453 | − | 0.224219i | ||||
\(577\) | −3.19715e15 | + | 1.84587e15i | −0.0866378 | + | 0.0500204i | −0.542693 | − | 0.839931i | \(-0.682595\pi\) |
0.456055 | + | 0.889951i | \(0.349262\pi\) | |||||||
\(578\) | −9.37225e15 | − | 1.62332e16i | −0.251349 | − | 0.435349i | ||||
\(579\) | 2.66064e16 | + | 1.53612e16i | 0.706178 | + | 0.407712i | ||||
\(580\) | 1.00811e16i | 0.264813i | ||||||||
\(581\) | −3.67602e16 | + | 2.52677e16i | −0.955699 | + | 0.656914i | ||||
\(582\) | −3.34274e16 | −0.860132 | ||||||||
\(583\) | 1.18555e16 | − | 2.05343e16i | 0.301932 | − | 0.522961i | ||||
\(584\) | −1.98115e16 | + | 1.14382e16i | −0.499390 | + | 0.288323i | ||||
\(585\) | 5.79589e16 | + | 1.00388e17i | 1.44606 | + | 2.50464i | ||||
\(586\) | 3.22122e16 | + | 1.85977e16i | 0.795491 | + | 0.459277i | ||||
\(587\) | − | 4.12173e16i | − | 1.00751i | −0.863845 | − | 0.503757i | \(-0.831951\pi\) | ||
0.863845 | − | 0.503757i | \(-0.168049\pi\) | |||||||
\(588\) | 2.81419e16 | − | 2.27942e16i | 0.680910 | − | 0.551518i | ||||
\(589\) | −3.10463e15 | −0.0743563 | ||||||||
\(590\) | 3.78197e16 | − | 6.55056e16i | 0.896614 | − | 1.55298i | ||||
\(591\) | −4.83275e16 | + | 2.79019e16i | −1.13415 | + | 0.654800i | ||||
\(592\) | 1.30054e15 | + | 2.25261e15i | 0.0302130 | + | 0.0523305i | ||||
\(593\) | −3.20315e14 | − | 1.84934e14i | −0.00736630 | − | 0.00425294i | 0.496312 | − | 0.868144i | \(-0.334687\pi\) |
−0.503679 | + | 0.863891i | \(0.668020\pi\) | |||||||
\(594\) | − | 2.09547e16i | − | 0.477050i | ||||||
\(595\) | −2.47725e16 | − | 3.60398e16i | −0.558300 | − | 0.812233i | ||||
\(596\) | −1.43009e16 | −0.319071 | ||||||||
\(597\) | 3.52282e16 | − | 6.10170e16i | 0.778116 | − | 1.34774i | ||||
\(598\) | −1.58015e16 | + | 9.12302e15i | −0.345535 | + | 0.199495i | ||||
\(599\) | 2.04323e16 | + | 3.53898e16i | 0.442341 | + | 0.766157i | 0.997863 | − | 0.0653452i | \(-0.0208149\pi\) |
−0.555522 | + | 0.831502i | \(0.687482\pi\) | |||||||
\(600\) | 5.90932e16 | + | 3.41175e16i | 1.26657 | + | 0.731256i | ||||
\(601\) | 1.12117e16i | 0.237916i | 0.992899 | + | 0.118958i | \(0.0379553\pi\) | ||||
−0.992899 | + | 0.118958i | \(0.962045\pi\) | |||||||
\(602\) | −6.46415e16 | + | 5.09110e15i | −1.35810 | + | 0.106963i | ||||
\(603\) | 1.63769e16 | 0.340664 | ||||||||
\(604\) | −1.69109e16 | + | 2.92906e16i | −0.348294 | + | 0.603263i | ||||
\(605\) | 6.77964e16 | − | 3.91423e16i | 1.38253 | − | 0.798204i | ||||
\(606\) | −1.43498e16 | − | 2.48545e16i | −0.289741 | − | 0.501846i | ||||
\(607\) | 1.45744e16 | + | 8.41452e15i | 0.291379 | + | 0.168227i | 0.638563 | − | 0.769569i | \(-0.279529\pi\) |
−0.347185 | + | 0.937797i | \(0.612862\pi\) | |||||||
\(608\) | − | 4.18433e15i | − | 0.0828332i | ||||||
\(609\) | 2.33150e16 | + | 1.11190e16i | 0.457016 | + | 0.217953i | ||||
\(610\) | 5.12090e16 | 0.993957 | ||||||||
\(611\) | 1.12927e16 | − | 1.95596e16i | 0.217046 | − | 0.375935i | ||||
\(612\) | −2.53366e16 | + | 1.46281e16i | −0.482214 | + | 0.278406i | ||||
\(613\) | −2.97088e16 | − | 5.14571e16i | −0.559914 | − | 0.969800i | −0.997503 | − | 0.0706250i | \(-0.977501\pi\) |
0.437588 | − | 0.899175i | \(-0.355833\pi\) | |||||||
\(614\) | −1.34775e16 | − | 7.78121e15i | −0.251535 | − | 0.145224i | ||||
\(615\) | 9.10698e16i | 1.68315i | ||||||||
\(616\) | −2.98816e15 | + | 6.26573e15i | −0.0546915 | + | 0.114680i | ||||
\(617\) | 8.03065e16 | 1.45559 | 0.727796 | − | 0.685793i | \(-0.240545\pi\) | ||||
0.727796 | + | 0.685793i | \(0.240545\pi\) | |||||||
\(618\) | −2.76922e16 | + | 4.79642e16i | −0.497080 | + | 0.860968i | ||||
\(619\) | −7.34721e16 | + | 4.24191e16i | −1.30611 | + | 0.754081i | −0.981444 | − | 0.191749i | \(-0.938584\pi\) |
−0.324662 | + | 0.945830i | \(0.605251\pi\) | |||||||
\(620\) | 4.13071e15 | + | 7.15460e15i | 0.0727234 | + | 0.125961i | ||||
\(621\) | −6.90741e16 | − | 3.98800e16i | −1.20439 | − | 0.695353i | ||||
\(622\) | − | 1.19952e16i | − | 0.207141i | ||||||
\(623\) | 5.38544e15 | + | 6.83788e16i | 0.0921070 | + | 1.16948i | ||||
\(624\) | −1.97012e16 | −0.333722 | ||||||||
\(625\) | −6.58967e16 | + | 1.14136e17i | −1.10556 | + | 1.91489i | ||||
\(626\) | 1.91334e16 | − | 1.10467e16i | 0.317940 | − | 0.183563i | ||||
\(627\) | −8.96488e15 | − | 1.55276e16i | −0.147550 | − | 0.255564i | ||||
\(628\) | −6.79055e15 | − | 3.92052e15i | −0.110700 | − | 0.0639126i | ||||
\(629\) | − | 8.04815e15i | − | 0.129955i | ||||||
\(630\) | 1.38335e17 | − | 9.50867e16i | 2.21253 | − | 1.52082i | ||||
\(631\) | 8.59803e16 | 1.36214 | 0.681071 | − | 0.732217i | \(-0.261514\pi\) | ||||
0.681071 | + | 0.732217i | \(0.261514\pi\) | |||||||
\(632\) | 1.59177e16 | − | 2.75703e16i | 0.249792 | − | 0.432652i | ||||
\(633\) | 9.29238e16 | − | 5.36496e16i | 1.44446 | − | 0.833958i | ||||
\(634\) | 4.30710e16 | + | 7.46011e16i | 0.663207 | + | 1.14871i | ||||
\(635\) | −5.99362e16 | − | 3.46042e16i | −0.914211 | − | 0.527820i | ||||
\(636\) | − | 9.74487e16i | − | 1.47243i | ||||||
\(637\) | −4.75111e16 | − | 1.82316e16i | −0.711145 | − | 0.272890i | ||||
\(638\) | −4.95126e15 | −0.0734161 | ||||||||
\(639\) | 1.89194e16 | − | 3.27693e16i | 0.277908 | − | 0.481351i | ||||
\(640\) | −9.64277e15 | + | 5.56725e15i | −0.140321 | + | 0.0810142i | ||||
\(641\) | −3.15932e16 | − | 5.47210e16i | −0.455455 | − | 0.788871i | 0.543259 | − | 0.839565i | \(-0.317190\pi\) |
−0.998714 | + | 0.0506938i | \(0.983857\pi\) | |||||||
\(642\) | −5.90558e16 | − | 3.40959e16i | −0.843437 | − | 0.486958i | ||||
\(643\) | 3.43243e16i | 0.485664i | 0.970068 | + | 0.242832i | \(0.0780764\pi\) | ||||
−0.970068 | + | 0.242832i | \(0.921924\pi\) | |||||||
\(644\) | 1.49671e16 | + | 2.17746e16i | 0.209809 | + | 0.305236i | ||||
\(645\) | −4.45658e17 | −6.18933 | ||||||||
\(646\) | −6.47348e15 | + | 1.12124e16i | −0.0890723 | + | 0.154278i | ||||
\(647\) | −3.01092e16 | + | 1.73835e16i | −0.410462 | + | 0.236980i | −0.690988 | − | 0.722866i | \(-0.742824\pi\) |
0.280526 | + | 0.959846i | \(0.409491\pi\) | |||||||
\(648\) | −1.59519e16 | − | 2.76294e16i | −0.215457 | − | 0.373183i | ||||
\(649\) | 3.21726e16 | + | 1.85748e16i | 0.430544 | + | 0.248575i | ||||
\(650\) | − | 9.58827e16i | − | 1.27133i | ||||||
\(651\) | 2.11027e16 | − | 1.66203e15i | 0.277238 | − | 0.0218350i | ||||
\(652\) | −1.78669e16 | −0.232575 | ||||||||
\(653\) | −2.74544e16 | + | 4.75524e16i | −0.354106 | + | 0.613329i | −0.986965 | − | 0.160938i | \(-0.948548\pi\) |
0.632859 | + | 0.774267i | \(0.281881\pi\) | |||||||
\(654\) | −2.93779e16 | + | 1.69613e16i | −0.375452 | + | 0.216767i | ||||
\(655\) | −1.64162e16 | − | 2.84336e16i | −0.207885 | − | 0.360068i | ||||
\(656\) | −9.03991e15 | − | 5.21920e15i | −0.113433 | − | 0.0654908i | ||||
\(657\) | 2.71693e17i | 3.37820i | ||||||||
\(658\) | −2.95213e16 | − | 1.40789e16i | −0.363730 | − | 0.173465i | ||||
\(659\) | 1.27959e16 | 0.156227 | 0.0781136 | − | 0.996944i | \(-0.475110\pi\) | ||||
0.0781136 | + | 0.996944i | \(0.475110\pi\) | |||||||
\(660\) | −2.38556e16 | + | 4.13190e16i | −0.288620 | + | 0.499904i | ||||
\(661\) | 8.23149e16 | − | 4.75245e16i | 0.986892 | − | 0.569782i | 0.0825481 | − | 0.996587i | \(-0.473694\pi\) |
0.904344 | + | 0.426805i | \(0.140361\pi\) | |||||||
\(662\) | 4.12584e16 | + | 7.14617e16i | 0.490190 | + | 0.849034i | ||||
\(663\) | 5.27916e16 | + | 3.04792e16i | 0.621560 | + | 0.358858i | ||||
\(664\) | − | 3.51405e16i | − | 0.410015i | ||||||
\(665\) | 3.19770e16 | − | 6.70511e16i | 0.369750 | − | 0.775311i | ||||
\(666\) | 3.08920e16 | 0.353998 | ||||||||
\(667\) | −9.42297e15 | + | 1.63211e16i | −0.107012 | + | 0.185350i | ||||
\(668\) | 4.20930e16 | − | 2.43024e16i | 0.473752 | − | 0.273521i | ||||
\(669\) | −2.12137e16 | − | 3.67433e16i | −0.236625 | − | 0.409846i | ||||
\(670\) | −1.67015e16 | − | 9.64263e15i | −0.184632 | − | 0.106597i | ||||
\(671\) | 2.51509e16i | 0.275562i | ||||||||
\(672\) | 2.24003e15 | + | 2.84417e16i | 0.0243242 | + | 0.308844i | ||||
\(673\) | 1.19235e16 | 0.128326 | 0.0641629 | − | 0.997939i | \(-0.479562\pi\) | ||||
0.0641629 | + | 0.997939i | \(0.479562\pi\) | |||||||
\(674\) | −5.15876e16 | + | 8.93523e16i | −0.550282 | + | 0.953117i | ||||
\(675\) | 3.62983e17 | − | 2.09568e17i | 3.83764 | − | 2.21566i | ||||
\(676\) | −1.00154e16 | − | 1.73471e16i | −0.104951 | − | 0.181780i | ||||
\(677\) | −4.43957e16 | − | 2.56319e16i | −0.461115 | − | 0.266225i | 0.251398 | − | 0.967884i | \(-0.419110\pi\) |
−0.712513 | + | 0.701659i | \(0.752443\pi\) | |||||||
\(678\) | 1.07976e17i | 1.11160i | ||||||||
\(679\) | 5.60555e16 | − | 3.85306e16i | 0.572005 | − | 0.393176i | ||||
\(680\) | 3.44518e16 | 0.348465 | ||||||||
\(681\) | 7.70073e16 | − | 1.33381e17i | 0.772057 | − | 1.33724i | ||||
\(682\) | −3.51393e15 | + | 2.02877e15i | −0.0349210 | + | 0.0201616i | ||||
\(683\) | 5.51917e16 | + | 9.55948e16i | 0.543688 | + | 0.941695i | 0.998688 | + | 0.0512037i | \(0.0163058\pi\) |
−0.455000 | + | 0.890491i | \(0.650361\pi\) | |||||||
\(684\) | −4.30376e16 | − | 2.48478e16i | −0.420254 | − | 0.242634i | ||||
\(685\) | − | 5.35290e16i | − | 0.518138i | ||||||
\(686\) | −2.09181e16 | + | 7.06624e16i | −0.200714 | + | 0.678022i | ||||
\(687\) | 2.75902e17 | 2.62431 | ||||||||
\(688\) | 2.55406e16 | − | 4.42376e16i | 0.240824 | − | 0.417120i | ||||
\(689\) | −1.18588e17 | + | 6.84666e16i | −1.10847 | + | 0.639976i | ||||
\(690\) | 9.08013e16 | + | 1.57272e17i | 0.841390 | + | 1.45733i | ||||
\(691\) | −1.19742e17 | − | 6.91332e16i | −1.09997 | − | 0.635065i | −0.163753 | − | 0.986501i | \(-0.552360\pi\) |
−0.936212 | + | 0.351436i | \(0.885693\pi\) | |||||||
\(692\) | 6.94660e15i | 0.0632610i | ||||||||
\(693\) | 4.67011e16 | + | 6.79423e16i | 0.421627 | + | 0.613396i | ||||
\(694\) | 5.32380e16 | 0.476503 | ||||||||
\(695\) | −1.33425e17 | + | 2.31099e17i | −1.18394 | + | 2.05064i | ||||
\(696\) | −1.76227e16 | + | 1.01745e16i | −0.155030 | + | 0.0895068i | ||||
\(697\) | 1.61490e16 | + | 2.79709e16i | 0.140847 | + | 0.243955i | ||||
\(698\) | −1.02069e17 | − | 5.89298e16i | −0.882598 | − | 0.509568i | ||||
\(699\) | − | 1.75810e17i | − | 1.50724i | ||||||
\(700\) | −1.38421e17 | + | 1.09019e16i | −1.17656 | + | 0.0926647i | ||||
\(701\) | 7.68687e16 | 0.647801 | 0.323900 | − | 0.946091i | \(-0.395006\pi\) | ||||
0.323900 | + | 0.946091i | \(0.395006\pi\) | |||||||
\(702\) | −6.05078e16 | + | 1.04803e17i | −0.505578 | + | 0.875687i | ||||
\(703\) | 1.18393e16 | − | 6.83543e15i | 0.0980832 | − | 0.0566284i | ||||
\(704\) | −2.73432e15 | − | 4.73597e15i | −0.0224601 | − | 0.0389021i | ||||
\(705\) | −1.94676e17 | − | 1.12396e17i | −1.58555 | − | 0.915415i | ||||
\(706\) | − | 1.32189e17i | − | 1.06750i | ||||||
\(707\) | 5.27125e16 | + | 2.51389e16i | 0.422082 | + | 0.201294i | ||||
\(708\) | 1.52680e17 | 1.21222 | ||||||||
\(709\) | 3.20093e16 | − | 5.54418e16i | 0.251999 | − | 0.436475i | −0.712077 | − | 0.702101i | \(-0.752245\pi\) |
0.964076 | + | 0.265626i | \(0.0855786\pi\) | |||||||
\(710\) | −3.85889e16 | + | 2.22793e16i | −0.301239 | + | 0.173921i | ||||
\(711\) | −1.89048e17 | − | 3.27441e17i | −1.46337 | − | 2.53463i | ||||
\(712\) | −4.67952e16 | − | 2.70172e16i | −0.359188 | − | 0.207377i | ||||
\(713\) | 1.54442e16i | 0.117551i | ||||||||
\(714\) | 3.79990e16 | − | 7.96782e16i | 0.286802 | − | 0.601382i | ||||
\(715\) | 6.70429e16 | 0.501783 | ||||||||
\(716\) | 3.82370e16 | − | 6.62284e16i | 0.283796 | − | 0.491548i | ||||
\(717\) | −8.94786e16 | + | 5.16605e16i | −0.658574 | + | 0.380228i | ||||
\(718\) | −5.84759e16 | − | 1.01283e17i | −0.426806 | − | 0.739249i | ||||
\(719\) | 1.97447e17 | + | 1.13996e17i | 1.42915 | + | 0.825118i | 0.997053 | − | 0.0767115i | \(-0.0244420\pi\) |
0.432093 | + | 0.901829i | \(0.357775\pi\) | |||||||
\(720\) | 1.32240e17i | 0.949221i | ||||||||
\(721\) | −8.84876e15 | − | 1.12352e17i | −0.0629899 | − | 0.799781i | ||||
\(722\) | 7.81711e16 | 0.551852 | ||||||||
\(723\) | −1.51997e17 | + | 2.63267e17i | −1.06416 | + | 1.84317i | ||||
\(724\) | −1.11364e17 | + | 6.42961e16i | −0.773239 | + | 0.446430i | ||||
\(725\) | −4.95176e16 | − | 8.57669e16i | −0.340982 | − | 0.590598i | ||||
\(726\) | 1.36849e17 | + | 7.90096e16i | 0.934589 | + | 0.539585i | ||||
\(727\) | − | 1.48207e17i | − | 1.00384i | −0.864915 | − | 0.501918i | \(-0.832628\pi\) | ||
0.864915 | − | 0.501918i | \(-0.167372\pi\) | |||||||
\(728\) | 3.30375e16 | − | 2.27088e16i | 0.221932 | − | 0.152548i | ||||
\(729\) | 1.14913e17 | 0.765601 | ||||||||
\(730\) | 1.59971e17 | − | 2.77079e17i | 1.05707 | − | 1.83091i | ||||
\(731\) | −1.36878e17 | + | 7.90265e16i | −0.897076 | + | 0.517927i | ||||
\(732\) | 5.16833e16 | + | 8.95181e16i | 0.335957 | + | 0.581894i | ||||
\(733\) | 2.62833e17 | + | 1.51747e17i | 1.69456 | + | 0.978353i | 0.950750 | + | 0.309959i | \(0.100315\pi\) |
0.743807 | + | 0.668394i | \(0.233018\pi\) | |||||||
\(734\) | − | 8.30207e16i | − | 0.530897i | ||||||
\(735\) | −1.81459e17 | + | 4.72877e17i | −1.15094 | + | 2.99933i | ||||
\(736\) | −2.08152e16 | −0.130953 | ||||||||
\(737\) | 4.73590e15 | − | 8.20283e15i | 0.0295528 | − | 0.0511869i | ||||
\(738\) | −1.07363e17 | + | 6.19862e16i | −0.664535 | + | 0.383669i | ||||
\(739\) | −2.33752e16 | − | 4.04869e16i | −0.143512 | − | 0.248570i | 0.785305 | − | 0.619109i | \(-0.212506\pi\) |
−0.928817 | + | 0.370539i | \(0.879173\pi\) | |||||||
\(740\) | −3.15044e16 | − | 1.81891e16i | −0.191859 | − | 0.110770i | ||||
\(741\) | 1.03546e17i | 0.625496i | ||||||||
\(742\) | 1.12326e17 | + | 1.63415e17i | 0.673062 | + | 0.979192i | ||||
\(743\) | −2.31317e17 | −1.37491 | −0.687456 | − | 0.726226i | \(-0.741273\pi\) | ||||
−0.687456 | + | 0.726226i | \(0.741273\pi\) | |||||||
\(744\) | −8.33793e15 | + | 1.44417e16i | −0.0491610 | + | 0.0851493i | ||||
\(745\) | 1.73213e17 | − | 1.00005e17i | 1.01308 | − | 0.584902i | ||||
\(746\) | 3.04119e16 | + | 5.26749e16i | 0.176445 | + | 0.305612i | ||||
\(747\) | −3.61435e17 | − | 2.08675e17i | −2.08021 | − | 1.20101i | ||||
\(748\) | 1.69208e16i | 0.0966074i | ||||||||
\(749\) | 1.38334e17 | − | 1.08950e16i | 0.783496 | − | 0.0617073i | ||||
\(750\) | −5.50017e17 | −3.09035 | ||||||||
\(751\) | −9.15578e16 | + | 1.58583e17i | −0.510336 | + | 0.883927i | 0.489593 | + | 0.871951i | \(0.337145\pi\) |
−0.999928 | + | 0.0119758i | \(0.996188\pi\) | |||||||
\(752\) | 2.23137e16 | − | 1.28828e16i | 0.123386 | − | 0.0712368i | ||||
\(753\) | 9.62829e16 | + | 1.66767e17i | 0.528177 | + | 0.914829i | ||||
\(754\) | 2.47631e16 | + | 1.42970e16i | 0.134765 | + | 0.0778066i | ||||
\(755\) | − | 4.73025e17i | − | 2.55389i | ||||||
\(756\) | 1.58178e17 | + | 7.54361e16i | 0.847259 | + | 0.404062i | ||||
\(757\) | 1.08846e17 | 0.578414 | 0.289207 | − | 0.957267i | \(-0.406608\pi\) | ||||
0.289207 | + | 0.957267i | \(0.406608\pi\) | |||||||
\(758\) | −1.11624e17 | + | 1.93338e17i | −0.588493 | + | 1.01930i | ||||
\(759\) | −7.72432e16 | + | 4.45964e16i | −0.404026 | + | 0.233265i | ||||
\(760\) | 2.92605e16 | + | 5.06807e16i | 0.151845 | + | 0.263003i | ||||
\(761\) | 1.30787e17 | + | 7.55100e16i | 0.673375 | + | 0.388773i | 0.797354 | − | 0.603511i | \(-0.206232\pi\) |
−0.123979 | + | 0.992285i | \(0.539566\pi\) | |||||||
\(762\) | − | 1.39699e17i | − | 0.713612i | ||||||
\(763\) | 2.97140e16 | − | 6.23059e16i | 0.150596 | − | 0.315778i | ||||
\(764\) | −1.04931e17 | −0.527647 | ||||||||
\(765\) | 2.04585e17 | − | 3.54352e17i | 1.02072 | − | 1.76793i | ||||
\(766\) | 1.90113e17 | − | 1.09762e17i | 0.941105 | − | 0.543347i | ||||
\(767\) | −1.07271e17 | − | 1.85800e17i | −0.526880 | − | 0.912583i | ||||
\(768\) | −1.94641e16 | − | 1.12376e16i | −0.0948567 | − | 0.0547655i | ||||
\(769\) | 3.57475e17i | 1.72857i | 0.503002 | + | 0.864286i | \(0.332229\pi\) | ||||
−0.503002 | + | 0.864286i | \(0.667771\pi\) | |||||||
\(770\) | −7.62281e15 | − | 9.67866e16i | −0.0365738 | − | 0.464377i | ||||
\(771\) | −2.49270e17 | −1.18671 | ||||||||
\(772\) | 2.46246e16 | − | 4.26511e16i | 0.116323 | − | 0.201478i | ||||
\(773\) | −1.47709e17 | + | 8.52797e16i | −0.692356 | + | 0.399732i | −0.804494 | − | 0.593961i | \(-0.797563\pi\) |
0.112138 | + | 0.993693i | \(0.464230\pi\) | |||||||
\(774\) | −3.03335e17 | − | 5.25392e17i | −1.41084 | − | 2.44364i | ||||
\(775\) | −7.02856e16 | − | 4.05794e16i | −0.324382 | − | 0.187282i | ||||
\(776\) | 5.35856e16i | 0.245402i | ||||||||
\(777\) | −7.68147e16 | + | 5.27997e16i | −0.349075 | + | 0.239942i | ||||
\(778\) | 2.74271e17 | 1.23681 | ||||||||
\(779\) | −2.74312e16 | + | 4.75122e16i | −0.122750 | + | 0.212609i | ||||
\(780\) | 2.38621e17 | − | 1.37768e17i | 1.05960 | − | 0.611760i | ||||
\(781\) | −1.09423e16 | − | 1.89526e16i | −0.0482173 | − | 0.0835148i | ||||
\(782\) | 5.57768e16 | + | 3.22027e16i | 0.243901 | + | 0.140816i | ||||
\(783\) | 1.24994e17i | 0.542400i | ||||||||
\(784\) | −3.65401e16 | − | 4.51127e16i | −0.157352 | − | 0.194269i | ||||
\(785\) | 1.09663e17 | 0.468643 | ||||||||
\(786\) | 3.31364e16 | − | 5.73939e16i | 0.140530 | − | 0.243405i | ||||
\(787\) | 1.94243e17 | − | 1.12146e17i | 0.817516 | − | 0.471993i | −0.0320430 | − | 0.999486i | \(-0.510201\pi\) |
0.849559 | + | 0.527493i | \(0.176868\pi\) | |||||||
\(788\) | 4.47279e16 | + | 7.74710e16i | 0.186819 | + | 0.323580i | ||||
\(789\) | 3.18852e17 | + | 1.84089e17i | 1.32168 | + | 0.763073i | ||||
\(790\) | 4.45243e17i | 1.83162i | ||||||||
\(791\) | −1.24459e17 | − | 1.81068e17i | −0.508123 | − | 0.739234i | ||||
\(792\) | −6.49487e16 | −0.263159 | ||||||||
\(793\) | 7.26245e16 | − | 1.25789e17i | 0.292041 | − | 0.505830i | ||||
\(794\) | 9.84850e16 | − | 5.68603e16i | 0.393049 | − | 0.226927i | ||||
\(795\) | 6.81447e17 | + | 1.18030e18i | 2.69917 | + | 4.67509i | ||||
\(796\) | −9.78129e16 | − | 5.64723e16i | −0.384519 | − | 0.222002i | ||||
\(797\) | − | 1.45709e17i | − | 0.568509i | −0.958749 | − | 0.284254i | \(-0.908254\pi\) | ||
0.958749 | − | 0.284254i | \(-0.0917461\pi\) | |||||||
\(798\) | 1.49485e17 | − | 1.17732e16i | 0.578867 | − | 0.0455910i | ||||
\(799\) | −7.97229e16 | −0.306410 | ||||||||
\(800\) | 5.46918e16 | − | 9.47290e16i | 0.208633 | − | 0.361362i | ||||
\(801\) | −5.55768e17 | + | 3.20873e17i | −2.10425 | + | 1.21489i | ||||
\(802\) | −1.71146e17 | − | 2.96433e17i | −0.643161 | − | 1.11399i | ||||
\(803\) | 1.36085e17 | + | 7.85688e16i | 0.507595 | + | 0.293060i | ||||
\(804\) | − | 3.89277e16i | − | 0.144119i | ||||||
\(805\) | −3.33550e17 | − | 1.59072e17i | −1.22570 | − | 0.584545i | ||||
\(806\) | 2.34326e16 | 0.0854694 | ||||||||
\(807\) | 4.19565e17 | − | 7.26708e17i | 1.51900 | − | 2.63099i | ||||
\(808\) | −3.98429e16 | + | 2.30033e16i | −0.143180 | + | 0.0826651i | ||||
\(809\) | −7.15399e16 | − | 1.23911e17i | −0.255186 | − | 0.441996i | 0.709760 | − | 0.704444i | \(-0.248803\pi\) |
−0.964946 | + | 0.262448i | \(0.915470\pi\) | |||||||
\(810\) | 3.86419e17 | + | 2.23099e17i | 1.36819 | + | 0.789927i | ||||
\(811\) | 2.44914e17i | 0.860774i | 0.902644 | + | 0.430387i | \(0.141623\pi\) | ||||
−0.902644 | + | 0.430387i | \(0.858377\pi\) | |||||||
\(812\) | 1.78243e16 | − | 3.73749e16i | 0.0621837 | − | 0.130390i | ||||
\(813\) | 3.65616e17 | 1.26614 | ||||||||
\(814\) | 8.93344e15 | − | 1.54732e16i | 0.0307095 | − | 0.0531903i | ||||
\(815\) | 2.16404e17 | − | 1.24941e17i | 0.738448 | − | 0.426343i | ||||
\(816\) | 3.47709e16 | + | 6.02250e16i | 0.117781 | + | 0.204003i | ||||
\(817\) | −2.32505e17 | − | 1.34237e17i | −0.781809 | − | 0.451378i | ||||
\(818\) | 8.13859e16i | 0.271662i | ||||||||
\(819\) | −3.73834e16 | − | 4.74657e17i | −0.123873 | − | 1.57281i | ||||
\(820\) | 1.45989e17 | 0.480216 | ||||||||
\(821\) | −2.69620e17 | + | 4.66995e17i | −0.880426 | + | 1.52494i | −0.0295574 | + | 0.999563i | \(0.509410\pi\) |
−0.850868 | + | 0.525379i | \(0.823924\pi\) | |||||||
\(822\) | 9.35736e16 | − | 5.40247e16i | 0.303335 | − | 0.175130i | ||||
\(823\) | 2.42725e16 | + | 4.20411e16i | 0.0781114 | + | 0.135293i | 0.902435 | − | 0.430826i | \(-0.141778\pi\) |
−0.824324 | + | 0.566119i | \(0.808444\pi\) | |||||||
\(824\) | 7.68888e16 | + | 4.43917e16i | 0.245640 | + | 0.141820i | ||||
\(825\) | − | 4.68706e17i | − | 1.48654i | ||||||
\(826\) | −2.56033e17 | + | 1.75988e17i | −0.806151 | + | 0.554119i | ||||
\(827\) | −4.57816e17 | −1.43106 | −0.715530 | − | 0.698582i | \(-0.753815\pi\) | ||||
−0.715530 | + | 0.698582i | \(0.753815\pi\) | |||||||
\(828\) | −1.23607e17 | + | 2.14093e17i | −0.383584 | + | 0.664387i | ||||
\(829\) | 3.92082e17 | − | 2.26369e17i | 1.20795 | − | 0.697412i | 0.245641 | − | 0.969361i | \(-0.421002\pi\) |
0.962312 | + | 0.271949i | \(0.0876682\pi\) | |||||||
\(830\) | 2.45733e17 | + | 4.25623e17i | 0.751615 | + | 1.30184i | ||||
\(831\) | −3.53956e17 | − | 2.04357e17i | −1.07484 | − | 0.620558i | ||||
\(832\) | 3.15818e16i | 0.0952133i | ||||||||
\(833\) | 2.81204e16 | + | 1.77415e17i | 0.0841690 | + | 0.531031i | ||||
\(834\) | −5.38644e17 | −1.60068 | ||||||||
\(835\) | −3.39888e17 | + | 5.88703e17i | −1.00281 | + | 1.73691i | ||||
\(836\) | −2.48915e16 | + | 1.43711e16i | −0.0729143 | + | 0.0420971i | ||||
\(837\) | 5.12161e16 | + | 8.87090e16i | 0.148955 | + | 0.257997i | ||||
\(838\) | −1.50652e17 | − | 8.69790e16i | −0.435022 | − | 0.251160i | ||||
\(839\) | − | 5.38587e16i | − | 0.154413i | −0.997015 | − | 0.0772065i | \(-0.975400\pi\) | ||
0.997015 | − | 0.0772065i | \(-0.0246001\pi\) | |||||||
\(840\) | −2.26021e17 | − | 3.28822e17i | −0.643387 | − | 0.936020i | ||||
\(841\) | −3.24281e17 | −0.916527 | ||||||||
\(842\) | −7.44314e15 | + | 1.28919e16i | −0.0208874 | + | 0.0361780i | ||||
\(843\) | −1.07276e17 | + | 6.19358e16i | −0.298907 | + | 0.172574i | ||||
\(844\) | −8.60026e16 | − | 1.48961e17i | −0.237934 | − | 0.412114i | ||||
\(845\) | 2.42613e17 | + | 1.40072e17i | 0.666458 | + | 0.384780i | ||||
\(846\) | − | 3.06008e17i | − | 0.834663i | ||||||
\(847\) | −3.20557e17 | + | 2.52467e16i | −0.868170 | + | 0.0683761i | ||||
\(848\) | −1.56214e17 | −0.420094 | ||||||||
\(849\) | 2.69235e17 | − | 4.66329e17i | 0.718929 | − | 1.24522i | ||||
\(850\) | −2.93106e17 | + | 1.69225e17i | −0.777161 | + | 0.448694i | ||||
\(851\) | −3.40033e16 | − | 5.88954e16i | −0.0895248 | − | 0.155062i | ||||
\(852\) | −7.78925e16 | − | 4.49712e16i | −0.203638 | − | 0.117570i | ||||
\(853\) | − | 3.44891e17i | − | 0.895340i | −0.894199 | − | 0.447670i | \(-0.852254\pi\) | ||
0.894199 | − | 0.447670i | \(-0.147746\pi\) | |||||||
\(854\) | −1.89853e17 | − | 9.05422e16i | −0.489408 | − | 0.233402i | ||||
\(855\) | 6.95031e17 | 1.77913 | ||||||||
\(856\) | −5.46572e16 | + | 9.46690e16i | −0.138933 | + | 0.240639i | ||||
\(857\) | −1.47108e17 | + | 8.49327e16i | −0.371322 | + | 0.214383i | −0.674036 | − | 0.738699i | \(-0.735441\pi\) |
0.302714 | + | 0.953081i | \(0.402107\pi\) | |||||||
\(858\) | 6.76638e16 | + | 1.17197e17i | 0.169603 | + | 0.293760i | ||||
\(859\) | 3.97769e17 | + | 2.29652e17i | 0.990083 | + | 0.571625i | 0.905299 | − | 0.424775i | \(-0.139647\pi\) |
0.0847839 | + | 0.996399i | \(0.472980\pi\) | |||||||
\(860\) | 7.14410e17i | 1.76586i | ||||||||
\(861\) | 1.61020e17 | − | 3.37634e17i | 0.395240 | − | 0.828758i | ||||
\(862\) | 5.32551e16 | 0.129813 | ||||||||
\(863\) | 7.00292e16 | − | 1.21294e17i | 0.169517 | − | 0.293613i | −0.768733 | − | 0.639570i | \(-0.779112\pi\) |
0.938250 | + | 0.345957i | \(0.112446\pi\) | |||||||
\(864\) | −1.19559e17 | + | 6.90277e16i | −0.287410 | + | 0.165936i | ||||
\(865\) | −4.85768e16 | − | 8.41374e16i | −0.115966 | − | 0.200860i | ||||
\(866\) | 1.57220e17 | + | 9.07711e16i | 0.372736 | + | 0.215199i | ||||
\(867\) | 5.29168e17i | 1.24589i | ||||||||
\(868\) | −2.66430e15 | − | 3.38286e16i | −0.00622967 | − | 0.0790980i | ||||
\(869\) | −2.18678e17 | −0.507792 | ||||||||
\(870\) | 1.42298e17 | − | 2.46467e17i | 0.328157 | − | 0.568385i | ||||
\(871\) | −4.73721e16 | + | 2.73503e16i | −0.108496 | + | 0.0626402i | ||||
\(872\) | 2.71898e16 | + | 4.70941e16i | 0.0618453 | + | 0.107119i | ||||
\(873\) | 5.51151e17 | + | 3.18207e17i | 1.24504 | + | 0.718827i | ||||
\(874\) | 1.09401e17i | 0.245445i | ||||||||
\(875\) | 9.22340e17 | − | 6.33984e17i | 2.05515 | − | 1.41263i | ||||
\(876\) | 6.45812e17 | 1.42916 | ||||||||
\(877\) | 1.57270e17 | − | 2.72399e17i | 0.345658 | − | 0.598698i | −0.639815 | − | 0.768529i | \(-0.720989\pi\) |
0.985473 | + | 0.169831i | \(0.0543223\pi\) | |||||||
\(878\) | −8.17746e16 | + | 4.72126e16i | −0.178505 | + | 0.103060i | ||||
\(879\) | −5.25025e17 | − | 9.09370e17i | −1.13827 | − | 1.97155i | ||||
\(880\) | 6.62362e16 | + | 3.82415e16i | 0.142626 | + | 0.0823453i | ||||
\(881\) | − | 4.38171e17i | − | 0.937104i | −0.883436 | − | 0.468552i | \(-0.844776\pi\) | ||
0.883436 | − | 0.468552i | \(-0.155224\pi\) | |||||||
\(882\) | −6.80989e17 | + | 1.07937e17i | −1.44653 | + | 0.229277i | ||||
\(883\) | −7.68448e17 | −1.62125 | −0.810626 | − | 0.585564i | \(-0.800873\pi\) | ||||
−0.810626 | + | 0.585564i | \(0.800873\pi\) | |||||||
\(884\) | 4.88595e16 | − | 8.46271e16i | 0.102385 | − | 0.177336i | ||||
\(885\) | −1.84926e18 | + | 1.06767e18i | −3.84892 | + | 2.22217i | ||||
\(886\) | 6.39033e16 | + | 1.10684e17i | 0.132106 | + | 0.228814i | ||||
\(887\) | −6.84599e17 | − | 3.95254e17i | −1.40571 | − | 0.811585i | −0.410736 | − | 0.911754i | \(-0.634728\pi\) |
−0.994970 | + | 0.100169i | \(0.968062\pi\) | |||||||
\(888\) | − | 7.34302e16i | − | 0.149760i | ||||||
\(889\) | 1.61025e17 | + | 2.34265e17i | 0.326200 | + | 0.474566i | ||||
\(890\) | 7.55714e17 | 1.52061 | ||||||||
\(891\) | −1.09573e17 | + | 1.89787e17i | −0.218997 | + | 0.379314i | ||||
\(892\) | −5.89010e16 | + | 3.40065e16i | −0.116932 | + | 0.0675108i | ||||
\(893\) | −6.77100e16 | − | 1.17277e17i | −0.133519 | − | 0.231262i | ||||
\(894\) | 3.49635e17 | + | 2.01862e17i | 0.684841 | + | 0.395393i | ||||
\(895\) | 1.06955e18i | 2.08095i | ||||||||
\(896\) | 4.55932e16 | − | 3.59087e15i | 0.0881155 | − | 0.00693988i | ||||
\(897\) | 5.15096e17 | 0.988858 | ||||||||
\(898\) | 3.21530e15 | − | 5.56906e15i | 0.00613145 | − | 0.0106200i | ||||
\(899\) | 2.09605e16 | − | 1.21015e16i | 0.0397048 | − | 0.0229236i | ||||
\(900\) | −6.49552e17 | − | 1.12506e18i | −1.22225 | − | 2.11699i | ||||
\(901\) | 4.18594e17 | + | 2.41676e17i | 0.782429 | + | 0.451735i | ||||
\(902\) | 7.17014e16i | 0.133134i | ||||||||
\(903\) | 1.65224e18 | + | 7.87965e17i | 3.04753 | + | 1.45338i | ||||
\(904\) | 1.73089e17 | 0.317147 | ||||||||
\(905\) | 8.99230e17 | − | 1.55751e18i | 1.63674 | − | 2.83491i | ||||
\(906\) | 8.26891e17 | − | 4.77406e17i | 1.49513 | − | 0.863214i | ||||
\(907\) | 3.47513e17 | + | 6.01909e17i | 0.624204 | + | 1.08115i | 0.988694 | + | 0.149946i | \(0.0479101\pi\) |
−0.364490 | + | 0.931207i | \(0.618757\pi\) | |||||||
\(908\) | −2.13815e17 | − | 1.23446e17i | −0.381525 | − | 0.220273i | ||||
\(909\) | 5.46402e17i | 0.968565i | ||||||||
\(910\) | −2.41351e17 | + | 5.06077e17i | −0.425012 | + | 0.891187i | ||||
\(911\) | −2.20190e16 | −0.0385202 | −0.0192601 | − | 0.999815i | \(-0.506131\pi\) | ||||
−0.0192601 | + | 0.999815i | \(0.506131\pi\) | |||||||
\(912\) | −5.90631e16 | + | 1.02300e17i | −0.102647 | + | 0.177790i | ||||
\(913\) | −2.09041e17 | + | 1.20690e17i | −0.360917 | + | 0.208376i | ||||
\(914\) | 1.33576e17 | + | 2.31360e17i | 0.229114 | + | 0.396837i | ||||
\(915\) | −1.25198e18 | − | 7.22830e17i | −2.13339 | − | 1.23171i | ||||
\(916\) | − | 4.42283e17i | − | 0.748734i | ||||||
\(917\) | 1.05884e16 | + | 1.34441e17i | 0.0178080 | + | 0.226107i | ||||
\(918\) | 4.27164e17 | 0.713738 | ||||||||
\(919\) | −2.42663e17 | + | 4.20304e17i | −0.402819 | + | 0.697703i | −0.994065 | − | 0.108789i | \(-0.965303\pi\) |
0.591246 | + | 0.806491i | \(0.298636\pi\) | |||||||
\(920\) | 2.52115e17 | − | 1.45558e17i | 0.415787 | − | 0.240055i | ||||
\(921\) | 2.19668e17 | + | 3.80476e17i | 0.359923 | + | 0.623405i | ||||
\(922\) | −5.37157e17 | − | 3.10127e17i | −0.874410 | − | 0.504841i | ||||
\(923\) | 1.26386e17i | 0.204403i | ||||||||
\(924\) | 1.61498e17 | − | 1.11008e17i | 0.259500 | − | 0.178371i | ||||
\(925\) | 3.57373e17 | 0.570521 | ||||||||
\(926\) | 2.24969e17 | − | 3.89657e17i | 0.356826 | − | 0.618041i | ||||
\(927\) | 9.13176e17 | − | 5.27222e17i | 1.43905 | − | 0.830836i | ||||
\(928\) | 1.63101e16 | + | 2.82499e16i | 0.0255369 | + | 0.0442313i | ||||
\(929\) | 8.98137e17 | + | 5.18540e17i | 1.39717 | + | 0.806655i | 0.994095 | − | 0.108513i | \(-0.0346090\pi\) |
0.403072 | + | 0.915168i | \(0.367942\pi\) | |||||||
\(930\) | − | 2.33225e17i | − | 0.360476i | ||||||
\(931\) | −2.37105e17 | + | 1.92048e17i | −0.364118 | + | 0.294926i | ||||
\(932\) | −2.81832e17 | −0.430025 | ||||||||
\(933\) | −1.69316e17 | + | 2.93264e17i | −0.256690 | + | 0.444600i | ||||
\(934\) | 3.24325e17 | − | 1.87249e17i | 0.488539 | − | 0.282058i | ||||
\(935\) | −1.18325e17 | − | 2.04945e17i | −0.177095 | − | 0.306738i | ||||
\(936\) | 3.24833e17 | + | 1.87542e17i | 0.483064 | + | 0.278897i | ||||
\(937\) | 2.29578e17i | 0.339229i | 0.985510 | + | 0.169615i | \(0.0542523\pi\) | ||||
−0.985510 | + | 0.169615i | \(0.945748\pi\) | |||||||
\(938\) | 4.48705e16 | + | 6.52791e16i | 0.0658786 | + | 0.0958423i | ||||
\(939\) | −6.23707e17 | −0.909886 | ||||||||
\(940\) | −1.80176e17 | + | 3.12075e17i | −0.261174 | + | 0.452367i | ||||
\(941\) | −7.75427e17 | + | 4.47693e17i | −1.11687 | + | 0.644826i | −0.940600 | − | 0.339515i | \(-0.889737\pi\) |
−0.176271 | + | 0.984342i | \(0.556404\pi\) | |||||||
\(942\) | 1.10679e17 | + | 1.91701e17i | 0.158401 | + | 0.274359i | ||||
\(943\) | 2.36353e17 | + | 1.36458e17i | 0.336117 | + | 0.194057i | ||||
\(944\) | − | 2.44752e17i | − | 0.345855i | ||||||
\(945\) | −2.44337e18 | + | 1.92438e17i | −3.43083 | + | 0.270208i | ||||
\(946\) | −3.50877e17 | −0.489562 | ||||||||
\(947\) | 5.56830e17 | − | 9.64458e17i | 0.772009 | − | 1.33716i | −0.164451 | − | 0.986385i | \(-0.552585\pi\) |
0.936460 | − | 0.350774i | \(-0.114082\pi\) | |||||||
\(948\) | −7.78325e17 | + | 4.49366e17i | −1.07229 | + | 0.619085i | ||||
\(949\) | −4.53742e17 | − | 7.85904e17i | −0.621172 | − | 1.07590i | ||||
\(950\) | −4.97880e17 | − | 2.87451e17i | −0.677303 | − | 0.391041i | ||||
\(951\) | − | 2.43184e18i | − | 3.28739i | ||||||
\(952\) | −1.27728e17 | − | 6.09140e16i | −0.171579 | − | 0.0818268i | ||||
\(953\) | −9.85728e17 | −1.31583 | −0.657915 | − | 0.753092i | \(-0.728561\pi\) | ||||
−0.657915 | + | 0.753092i | \(0.728561\pi\) | |||||||
\(954\) | −9.27647e17 | + | 1.60673e18i | −1.23053 | + | 2.13134i | ||||
\(955\) | 1.27093e18 | − | 7.33770e17i | 1.67533 | − | 0.967252i | ||||
\(956\) | 8.28140e16 | + | 1.43438e17i | 0.108482 | + | 0.187896i | ||||
\(957\) | 1.21050e17 | + | 6.98884e16i | 0.157578 | + | 0.0909774i | ||||
\(958\) | − | 3.86931e17i | − | 0.500542i | ||||||
\(959\) | −9.46441e16 | + | 1.98455e17i | −0.121670 | + | 0.255123i | ||||
\(960\) | 3.14334e17 | 0.401572 | ||||||||
\(961\) | −3.83914e17 | + | 6.64959e17i | −0.487409 | + | 0.844218i | ||||
\(962\) | −8.93589e16 | + | 5.15914e16i | −0.112742 | + | 0.0650919i | ||||
\(963\) | 6.49141e17 | + | 1.12434e18i | 0.813919 | + | 1.40975i | ||||
\(964\) | 4.22028e17 | + | 2.43658e17i | 0.525871 | + | 0.303612i | ||||
\(965\) | 6.88789e17i | 0.852948i | ||||||||
\(966\) | −5.85667e16 | − | 7.43620e17i | −0.0720756 | − | 0.915142i | ||||
\(967\) | 2.06667e17 | 0.252762 | 0.126381 | − | 0.991982i | \(-0.459664\pi\) | ||||
0.126381 | + | 0.991982i | \(0.459664\pi\) | |||||||
\(968\) | 1.26656e17 | − | 2.19374e17i | 0.153948 | − | 0.266645i | ||||
\(969\) | 3.16532e17 | − | 1.82750e17i | 0.382363 | − | 0.220757i | ||||
\(970\) | −3.74718e17 | − | 6.49030e17i | −0.449856 | − | 0.779174i | ||||
\(971\) | −1.16333e18 | − | 6.71651e17i | −1.38800 | − | 0.801361i | −0.394908 | − | 0.918721i | \(-0.629224\pi\) |
−0.993089 | + | 0.117360i | \(0.962557\pi\) | |||||||
\(972\) | 1.09046e17i | 0.129304i | ||||||||
\(973\) | 9.03269e17 | − | 6.20875e17i | 1.06449 | − | 0.731690i | ||||
\(974\) | −4.99121e17 | −0.584591 | ||||||||
\(975\) | −1.35341e18 | + | 2.34418e18i | −1.57544 | + | 2.72874i | ||||
\(976\) | 1.43501e17 | − | 8.28505e16i | 0.166019 | − | 0.0958509i | ||||
\(977\) | 6.81537e17 | + | 1.18046e18i | 0.783650 | + | 1.35732i | 0.929802 | + | 0.368059i | \(0.119978\pi\) |
−0.146153 | + | 0.989262i | \(0.546689\pi\) | |||||||
\(978\) | 4.36817e17 | + | 2.52196e17i | 0.499190 | + | 0.288208i | ||||
\(979\) | 3.71163e17i | 0.421569i | ||||||||
\(980\) | 7.58042e17 | + | 2.90886e17i | 0.855730 | + | 0.328372i | ||||
\(981\) | 6.45843e17 | 0.724625 | ||||||||
\(982\) | 3.78960e17 | − | 6.56378e17i | 0.422595 | − | 0.731956i | ||||
\(983\) | −1.86944e17 | + | 1.07932e17i | −0.207200 | + | 0.119627i | −0.600010 | − | 0.799993i | \(-0.704837\pi\) |
0.392809 | + | 0.919620i | \(0.371503\pi\) | |||||||
\(984\) | 1.47341e17 | + | 2.55202e17i | 0.162313 | + | 0.281134i | ||||
\(985\) | −1.08349e18 | − | 6.25554e17i | −1.18634 | − | 0.684932i | ||||
\(986\) | − | 1.00932e17i | − | 0.109842i | ||||||
\(987\) | 5.23020e17 | + | 7.60907e17i | 0.565739 | + | 0.823054i | ||||
\(988\) | 1.65989e17 | 0.178458 | ||||||||
\(989\) | −6.67771e17 | + | 1.15661e18i | −0.713591 | + | 1.23598i | ||||
\(990\) | 7.86660e17 | − | 4.54178e17i | 0.835556 | − | 0.482409i | ||||
\(991\) | −5.58489e17 | − | 9.67331e17i | −0.589621 | − | 1.02125i | −0.994282 | − | 0.106786i | \(-0.965944\pi\) |
0.404661 | − | 0.914467i | \(-0.367389\pi\) | |||||||
\(992\) | 2.31507e16 | + | 1.33661e16i | 0.0242937 | + | 0.0140260i | ||||
\(993\) | − | 2.32950e18i | − | 2.42978i | ||||||
\(994\) | 1.82457e17 | − | 1.43701e16i | 0.189166 | − | 0.0148985i | ||||
\(995\) | 1.57962e18 | 1.62784 | ||||||||
\(996\) | −4.96018e17 | + | 8.59129e17i | −0.508091 | + | 0.880040i | ||||
\(997\) | 8.25435e17 | − | 4.76565e17i | 0.840450 | − | 0.485234i | −0.0169674 | − | 0.999856i | \(-0.505401\pi\) |
0.857417 | + | 0.514622i | \(0.172068\pi\) | |||||||
\(998\) | −2.44145e17 | − | 4.22872e17i | −0.247096 | − | 0.427983i | ||||
\(999\) | −3.90619e17 | − | 2.25524e17i | −0.392971 | − | 0.226882i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 14.13.d.a.5.4 | yes | 16 | |
3.2 | odd | 2 | 126.13.n.a.19.5 | 16 | |||
4.3 | odd | 2 | 112.13.s.c.33.1 | 16 | |||
7.2 | even | 3 | 98.13.b.c.97.16 | 16 | |||
7.3 | odd | 6 | inner | 14.13.d.a.3.4 | ✓ | 16 | |
7.4 | even | 3 | 98.13.d.a.31.1 | 16 | |||
7.5 | odd | 6 | 98.13.b.c.97.9 | 16 | |||
7.6 | odd | 2 | 98.13.d.a.19.1 | 16 | |||
21.17 | even | 6 | 126.13.n.a.73.5 | 16 | |||
28.3 | even | 6 | 112.13.s.c.17.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.13.d.a.3.4 | ✓ | 16 | 7.3 | odd | 6 | inner | |
14.13.d.a.5.4 | yes | 16 | 1.1 | even | 1 | trivial | |
98.13.b.c.97.9 | 16 | 7.5 | odd | 6 | |||
98.13.b.c.97.16 | 16 | 7.2 | even | 3 | |||
98.13.d.a.19.1 | 16 | 7.6 | odd | 2 | |||
98.13.d.a.31.1 | 16 | 7.4 | even | 3 | |||
112.13.s.c.17.1 | 16 | 28.3 | even | 6 | |||
112.13.s.c.33.1 | 16 | 4.3 | odd | 2 | |||
126.13.n.a.19.5 | 16 | 3.2 | odd | 2 | |||
126.13.n.a.73.5 | 16 | 21.17 | even | 6 |