Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,12,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), 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: | \(12.2934908890\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.17 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.12.e.a.13.17 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 33.6326 | − | 30.2795i | 0.743182 | − | 0.669090i | ||||
\(3\) | −145.072 | + | 145.072i | −0.344679 | + | 0.344679i | −0.858123 | − | 0.513444i | \(-0.828369\pi\) |
0.513444 | + | 0.858123i | \(0.328369\pi\) | |||||||
\(4\) | 214.299 | − | 2036.76i | 0.104638 | − | 0.994510i | ||||
\(5\) | −4652.81 | − | 4652.81i | −0.665856 | − | 0.665856i | 0.290898 | − | 0.956754i | \(-0.406046\pi\) |
−0.956754 | + | 0.290898i | \(0.906046\pi\) | |||||||
\(6\) | −486.430 | + | 9271.83i | −0.0255381 | + | 0.486781i | ||||
\(7\) | 43253.0i | 0.972696i | 0.873765 | + | 0.486348i | \(0.161671\pi\) | ||||
−0.873765 | + | 0.486348i | \(0.838329\pi\) | |||||||
\(8\) | −54464.6 | − | 74990.3i | −0.587651 | − | 0.809114i | ||||
\(9\) | 135056.i | 0.762392i | ||||||||
\(10\) | −297371. | − | 15601.0i | −0.940370 | − | 0.0493348i | ||||
\(11\) | −685114. | − | 685114.i | −1.28263 | − | 1.28263i | −0.939163 | − | 0.343472i | \(-0.888397\pi\) |
−0.343472 | − | 0.939163i | \(-0.611603\pi\) | |||||||
\(12\) | 264387. | + | 326564.i | 0.306721 | + | 0.378854i | ||||
\(13\) | −1.40072e6 | + | 1.40072e6i | −1.04632 | + | 1.04632i | −0.0474458 | + | 0.998874i | \(0.515108\pi\) |
−0.998874 | + | 0.0474458i | \(0.984892\pi\) | |||||||
\(14\) | 1.30968e6 | + | 1.45471e6i | 0.650821 | + | 0.722890i | ||||
\(15\) | 1.34998e6 | 0.459014 | ||||||||
\(16\) | −4.10246e6 | − | 872952.i | −0.978102 | − | 0.208128i | ||||
\(17\) | 3.84591e6 | 0.656946 | 0.328473 | − | 0.944513i | \(-0.393466\pi\) | ||||
0.328473 | + | 0.944513i | \(0.393466\pi\) | |||||||
\(18\) | 4.08942e6 | + | 4.54226e6i | 0.510109 | + | 0.566596i | ||||
\(19\) | −7.81673e6 | + | 7.81673e6i | −0.724236 | + | 0.724236i | −0.969465 | − | 0.245229i | \(-0.921137\pi\) |
0.245229 | + | 0.969465i | \(0.421137\pi\) | |||||||
\(20\) | −1.04737e7 | + | 8.47955e6i | −0.731875 | + | 0.592527i | ||||
\(21\) | −6.27478e6 | − | 6.27478e6i | −0.335268 | − | 0.335268i | ||||
\(22\) | −4.37871e7 | − | 2.29721e6i | −1.81143 | − | 0.0950333i | ||||
\(23\) | − | 1.99742e7i | − | 0.647094i | −0.946212 | − | 0.323547i | \(-0.895125\pi\) | ||
0.946212 | − | 0.323547i | \(-0.104875\pi\) | |||||||
\(24\) | 1.87802e7 | + | 2.97769e6i | 0.481436 | + | 0.0763338i | ||||
\(25\) | − | 5.53080e6i | − | 0.113271i | ||||||
\(26\) | −4.69668e6 | + | 8.95233e7i | −0.0775242 | + | 1.47769i | ||||
\(27\) | −4.52917e7 | − | 4.52917e7i | −0.607460 | − | 0.607460i | ||||
\(28\) | 8.80959e7 | + | 9.26910e6i | 0.967357 | + | 0.101781i | ||||
\(29\) | 1.18663e8 | − | 1.18663e8i | 1.07430 | − | 1.07430i | 0.0772929 | − | 0.997008i | \(-0.475372\pi\) |
0.997008 | − | 0.0772929i | \(-0.0246277\pi\) | |||||||
\(30\) | 4.54033e7 | − | 4.08768e7i | 0.341131 | − | 0.307121i | ||||
\(31\) | 5.32181e7 | 0.333864 | 0.166932 | − | 0.985968i | \(-0.446614\pi\) | ||||
0.166932 | + | 0.985968i | \(0.446614\pi\) | |||||||
\(32\) | −1.64409e8 | + | 9.48609e7i | −0.866163 | + | 0.499761i | ||||
\(33\) | 1.98781e8 | 0.884196 | ||||||||
\(34\) | 1.29348e8 | − | 1.16452e8i | 0.488230 | − | 0.439556i | ||||
\(35\) | 2.01248e8 | − | 2.01248e8i | 0.647676 | − | 0.647676i | ||||
\(36\) | 2.75075e8 | + | 2.89423e7i | 0.758207 | + | 0.0797755i | ||||
\(37\) | −3.70312e8 | − | 3.70312e8i | −0.877928 | − | 0.877928i | 0.115392 | − | 0.993320i | \(-0.463188\pi\) |
−0.993320 | + | 0.115392i | \(0.963188\pi\) | |||||||
\(38\) | −2.62097e7 | + | 4.99584e8i | −0.0536603 | + | 1.02282i | ||||
\(39\) | − | 4.06411e8i | − | 0.721290i | ||||||
\(40\) | −9.55019e7 | + | 6.02329e8i | −0.147463 | + | 0.930045i | ||||
\(41\) | − | 8.83045e7i | − | 0.119034i | −0.998227 | − | 0.0595171i | \(-0.981044\pi\) | ||
0.998227 | − | 0.0595171i | \(-0.0189561\pi\) | |||||||
\(42\) | −4.01035e8 | − | 2.10395e7i | −0.473490 | − | 0.0248408i | ||||
\(43\) | 1.81785e8 | + | 1.81785e8i | 0.188573 | + | 0.188573i | 0.795079 | − | 0.606506i | \(-0.207429\pi\) |
−0.606506 | + | 0.795079i | \(0.707429\pi\) | |||||||
\(44\) | −1.54223e9 | + | 1.24859e9i | −1.40981 | + | 1.14138i | ||||
\(45\) | 6.28388e8 | − | 6.28388e8i | 0.507644 | − | 0.507644i | ||||
\(46\) | −6.04811e8 | − | 6.71785e8i | −0.432964 | − | 0.480908i | ||||
\(47\) | −1.92709e9 | −1.22564 | −0.612821 | − | 0.790222i | \(-0.709965\pi\) | ||||
−0.612821 | + | 0.790222i | \(0.709965\pi\) | |||||||
\(48\) | 7.21790e8 | − | 4.68509e8i | 0.408869 | − | 0.265394i | ||||
\(49\) | 1.06502e8 | 0.0538618 | ||||||||
\(50\) | −1.67470e8 | − | 1.86015e8i | −0.0757883 | − | 0.0841808i | ||||
\(51\) | −5.57932e8 | + | 5.57932e8i | −0.226436 | + | 0.226436i | ||||
\(52\) | 2.55276e9 | + | 3.15311e9i | 0.931091 | + | 1.15006i | ||||
\(53\) | 1.39454e9 | + | 1.39454e9i | 0.458051 | + | 0.458051i | 0.898015 | − | 0.439964i | \(-0.145009\pi\) |
−0.439964 | + | 0.898015i | \(0.645009\pi\) | |||||||
\(54\) | −2.89469e9 | − | 1.51865e8i | −0.857899 | − | 0.0450081i | ||||
\(55\) | 6.37541e9i | 1.70810i | ||||||||
\(56\) | 3.24356e9 | − | 2.35576e9i | 0.787023 | − | 0.571606i | ||||
\(57\) | − | 2.26797e9i | − | 0.499259i | ||||||
\(58\) | 3.97881e8 | − | 7.58400e9i | 0.0795974 | − | 1.51720i | ||||
\(59\) | −2.09985e9 | − | 2.09985e9i | −0.382385 | − | 0.382385i | 0.489575 | − | 0.871961i | \(-0.337152\pi\) |
−0.871961 | + | 0.489575i | \(0.837152\pi\) | |||||||
\(60\) | 2.89300e8 | − | 2.74958e9i | 0.0480305 | − | 0.456494i | ||||
\(61\) | 1.23678e9 | − | 1.23678e9i | 0.187491 | − | 0.187491i | −0.607120 | − | 0.794610i | \(-0.707675\pi\) |
0.794610 | + | 0.607120i | \(0.207675\pi\) | |||||||
\(62\) | 1.78986e9 | − | 1.61142e9i | 0.248122 | − | 0.223385i | ||||
\(63\) | −5.84156e9 | −0.741576 | ||||||||
\(64\) | −2.65714e9 | + | 8.16863e9i | −0.309332 | + | 0.950954i | ||||
\(65\) | 1.30346e10 | 1.39340 | ||||||||
\(66\) | 6.68552e9 | − | 6.01900e9i | 0.657118 | − | 0.591606i | ||||
\(67\) | −9.73212e9 | + | 9.73212e9i | −0.880635 | + | 0.880635i | −0.993599 | − | 0.112964i | \(-0.963966\pi\) |
0.112964 | + | 0.993599i | \(0.463966\pi\) | |||||||
\(68\) | 8.24176e8 | − | 7.83318e9i | 0.0687418 | − | 0.653340i | ||||
\(69\) | 2.89769e9 | + | 2.89769e9i | 0.223040 | + | 0.223040i | ||||
\(70\) | 6.74792e8 | − | 1.28622e10i | 0.0479878 | − | 0.914694i | ||||
\(71\) | − | 2.30143e9i | − | 0.151383i | −0.997131 | − | 0.0756914i | \(-0.975884\pi\) | ||
0.997131 | − | 0.0756914i | \(-0.0241164\pi\) | |||||||
\(72\) | 1.01278e10 | − | 7.35575e9i | 0.616863 | − | 0.448021i | ||||
\(73\) | 2.18626e10i | 1.23432i | 0.786840 | + | 0.617158i | \(0.211716\pi\) | ||||
−0.786840 | + | 0.617158i | \(0.788284\pi\) | |||||||
\(74\) | −2.36675e10 | − | 1.24167e9i | −1.23987 | − | 0.0650477i | ||||
\(75\) | 8.02362e8 | + | 8.02362e8i | 0.0390421 | + | 0.0390421i | ||||
\(76\) | 1.42457e10 | + | 1.75959e10i | 0.644478 | + | 0.796043i | ||||
\(77\) | 2.96333e10 | − | 2.96333e10i | 1.24761 | − | 1.24761i | ||||
\(78\) | −1.23059e10 | − | 1.36686e10i | −0.482607 | − | 0.536049i | ||||
\(79\) | −1.21163e8 | −0.00443018 | −0.00221509 | − | 0.999998i | \(-0.500705\pi\) | ||||
−0.00221509 | + | 0.999998i | \(0.500705\pi\) | |||||||
\(80\) | 1.50263e10 | + | 2.31496e10i | 0.512692 | + | 0.789858i | ||||
\(81\) | −1.07836e10 | −0.343634 | ||||||||
\(82\) | −2.67382e9 | − | 2.96991e9i | −0.0796446 | − | 0.0884641i | ||||
\(83\) | −4.69569e10 | + | 4.69569e10i | −1.30849 | + | 1.30849i | −0.385984 | + | 0.922505i | \(0.626138\pi\) |
−0.922505 | + | 0.385984i | \(0.873862\pi\) | |||||||
\(84\) | −1.41249e10 | + | 1.14355e10i | −0.368510 | + | 0.298346i | ||||
\(85\) | −1.78943e10 | − | 1.78943e10i | −0.437432 | − | 0.437432i | ||||
\(86\) | 1.16182e10 | + | 6.09530e8i | 0.266317 | + | 0.0139718i | ||||
\(87\) | 3.44292e10i | 0.740579i | ||||||||
\(88\) | −1.40624e10 | + | 8.86913e10i | −0.284056 | + | 1.79154i | ||||
\(89\) | − | 6.68453e10i | − | 1.26890i | −0.772966 | − | 0.634448i | \(-0.781228\pi\) | ||
0.772966 | − | 0.634448i | \(-0.218772\pi\) | |||||||
\(90\) | 2.10701e9 | − | 4.01616e10i | 0.0376125 | − | 0.716931i | ||||
\(91\) | −6.05856e10 | − | 6.05856e10i | −1.01775 | − | 1.01775i | ||||
\(92\) | −4.06827e10 | − | 4.28047e9i | −0.643541 | − | 0.0677108i | ||||
\(93\) | −7.72043e9 | + | 7.72043e9i | −0.115076 | + | 0.115076i | ||||
\(94\) | −6.48130e10 | + | 5.83514e10i | −0.910875 | + | 0.820064i | ||||
\(95\) | 7.27395e10 | 0.964474 | ||||||||
\(96\) | 1.00894e10 | − | 3.76126e10i | 0.126291 | − | 0.470806i | ||||
\(97\) | 4.52611e10 | 0.535156 | 0.267578 | − | 0.963536i | \(-0.413777\pi\) | ||||
0.267578 | + | 0.963536i | \(0.413777\pi\) | |||||||
\(98\) | 3.58195e9 | − | 3.22484e9i | 0.0400291 | − | 0.0360384i | ||||
\(99\) | 9.25284e10 | − | 9.25284e10i | 0.977871 | − | 0.977871i | ||||
\(100\) | −1.12649e10 | − | 1.18525e9i | −0.112649 | − | 0.0118525i | ||||
\(101\) | 5.15862e10 | + | 5.15862e10i | 0.488389 | + | 0.488389i | 0.907798 | − | 0.419408i | \(-0.137762\pi\) |
−0.419408 | + | 0.907798i | \(0.637762\pi\) | |||||||
\(102\) | −1.87076e9 | + | 3.56586e10i | −0.0167771 | + | 0.319789i | ||||
\(103\) | − | 9.16100e10i | − | 0.778643i | −0.921102 | − | 0.389321i | \(-0.872710\pi\) | ||
0.921102 | − | 0.389321i | \(-0.127290\pi\) | |||||||
\(104\) | 1.81331e11 | + | 2.87508e10i | 1.46146 | + | 0.231721i | ||||
\(105\) | 5.83908e10i | 0.446481i | ||||||||
\(106\) | 8.91281e10 | + | 4.67594e9i | 0.646893 | + | 0.0339381i | ||||
\(107\) | −4.25889e10 | − | 4.25889e10i | −0.293553 | − | 0.293553i | 0.544929 | − | 0.838482i | \(-0.316556\pi\) |
−0.838482 | + | 0.544929i | \(0.816556\pi\) | |||||||
\(108\) | −1.01954e11 | + | 8.25422e10i | −0.667689 | + | 0.540562i | ||||
\(109\) | 1.91614e11 | − | 1.91614e11i | 1.19284 | − | 1.19284i | 0.216569 | − | 0.976267i | \(-0.430513\pi\) |
0.976267 | − | 0.216569i | \(-0.0694867\pi\) | |||||||
\(110\) | 1.93045e11 | + | 2.14422e11i | 1.14287 | + | 1.26943i | ||||
\(111\) | 1.07444e11 | 0.605207 | ||||||||
\(112\) | 3.77578e10 | − | 1.77444e11i | 0.202445 | − | 0.951396i | ||||
\(113\) | −2.60158e11 | −1.32833 | −0.664166 | − | 0.747586i | \(-0.731213\pi\) | ||||
−0.664166 | + | 0.747586i | \(0.731213\pi\) | |||||||
\(114\) | −6.86731e10 | − | 7.62776e10i | −0.334049 | − | 0.371040i | ||||
\(115\) | −9.29364e10 | + | 9.29364e10i | −0.430871 | + | 0.430871i | ||||
\(116\) | −2.16258e11 | − | 2.67117e11i | −0.955991 | − | 1.18082i | ||||
\(117\) | −1.89176e11 | − | 1.89176e11i | −0.797706 | − | 0.797706i | ||||
\(118\) | −1.34206e11 | − | 7.04085e9i | −0.540032 | − | 0.0283318i | ||||
\(119\) | 1.66347e11i | 0.639009i | ||||||||
\(120\) | −7.35262e10 | − | 1.01235e11i | −0.269740 | − | 0.371395i | ||||
\(121\) | 6.53450e11i | 2.29030i | ||||||||
\(122\) | 4.14698e9 | − | 7.90455e10i | 0.0138916 | − | 0.264788i | ||||
\(123\) | 1.28105e10 | + | 1.28105e10i | 0.0410286 | + | 0.0410286i | ||||
\(124\) | 1.14046e10 | − | 1.08392e11i | 0.0349350 | − | 0.332032i | ||||
\(125\) | −2.52922e11 | + | 2.52922e11i | −0.741278 | + | 0.741278i | ||||
\(126\) | −1.96467e11 | + | 1.76880e11i | −0.551126 | + | 0.496181i | ||||
\(127\) | 2.49589e11 | 0.670355 | 0.335177 | − | 0.942155i | \(-0.391204\pi\) | ||||
0.335177 | + | 0.942155i | \(0.391204\pi\) | |||||||
\(128\) | 1.57976e11 | + | 3.55189e11i | 0.406383 | + | 0.913703i | ||||
\(129\) | −5.27435e10 | −0.129995 | ||||||||
\(130\) | 4.38388e11 | − | 3.94682e11i | 1.03555 | − | 0.932307i | ||||
\(131\) | 2.54164e10 | − | 2.54164e10i | 0.0575602 | − | 0.0575602i | −0.677741 | − | 0.735301i | \(-0.737041\pi\) |
0.735301 | + | 0.677741i | \(0.237041\pi\) | |||||||
\(132\) | 4.25987e10 | − | 4.04869e11i | 0.0925208 | − | 0.879342i | ||||
\(133\) | −3.38097e11 | − | 3.38097e11i | −0.704462 | − | 0.704462i | ||||
\(134\) | −3.26321e10 | + | 6.22000e11i | −0.0652482 | + | 1.24370i | ||||
\(135\) | 4.21468e11i | 0.808962i | ||||||||
\(136\) | −2.09466e11 | − | 2.88406e11i | −0.386055 | − | 0.531545i | ||||
\(137\) | 8.74862e11i | 1.54873i | 0.632737 | + | 0.774367i | \(0.281931\pi\) | ||||
−0.632737 | + | 0.774367i | \(0.718069\pi\) | |||||||
\(138\) | 1.85198e11 | + | 9.71606e9i | 0.314993 | + | 0.0165255i | ||||
\(139\) | −5.58327e11 | − | 5.58327e11i | −0.912657 | − | 0.912657i | 0.0838239 | − | 0.996481i | \(-0.473287\pi\) |
−0.996481 | + | 0.0838239i | \(0.973287\pi\) | |||||||
\(140\) | −3.66766e11 | − | 4.53021e11i | −0.576349 | − | 0.711892i | ||||
\(141\) | 2.79566e11 | − | 2.79566e11i | 0.422453 | − | 0.422453i | ||||
\(142\) | −6.96862e10 | − | 7.74030e10i | −0.101289 | − | 0.112505i | ||||
\(143\) | 1.91931e12 | 2.68409 | ||||||||
\(144\) | 1.17897e11 | − | 5.54059e11i | 0.158675 | − | 0.745697i | ||||
\(145\) | −1.10423e12 | −1.43066 | ||||||||
\(146\) | 6.61989e11 | + | 7.35295e11i | 0.825867 | + | 0.917321i | ||||
\(147\) | −1.54505e10 | + | 1.54505e10i | −0.0185651 | + | 0.0185651i | ||||
\(148\) | −8.33594e11 | + | 6.74879e11i | −0.964973 | + | 0.781244i | ||||
\(149\) | 1.19866e11 | + | 1.19866e11i | 0.133712 | + | 0.133712i | 0.770795 | − | 0.637083i | \(-0.219859\pi\) |
−0.637083 | + | 0.770795i | \(0.719859\pi\) | |||||||
\(150\) | 5.12806e10 | + | 2.69034e9i | 0.0551380 | + | 0.00289272i | ||||
\(151\) | − | 7.62184e11i | − | 0.790108i | −0.918658 | − | 0.395054i | \(-0.870726\pi\) | ||
0.918658 | − | 0.395054i | \(-0.129274\pi\) | |||||||
\(152\) | 1.01191e12 | + | 1.60443e11i | 1.01159 | + | 0.160392i | ||||
\(153\) | 5.19411e11i | 0.500851i | ||||||||
\(154\) | 9.93613e10 | − | 1.89392e12i | 0.0924385 | − | 1.76197i | ||||
\(155\) | −2.47614e11 | − | 2.47614e11i | −0.222306 | − | 0.222306i | ||||
\(156\) | −8.27760e11 | − | 8.70935e10i | −0.717330 | − | 0.0754746i | ||||
\(157\) | 9.25699e11 | − | 9.25699e11i | 0.774500 | − | 0.774500i | −0.204390 | − | 0.978890i | \(-0.565521\pi\) |
0.978890 | + | 0.204390i | \(0.0655209\pi\) | |||||||
\(158\) | −4.07503e9 | + | 3.66876e9i | −0.00329243 | + | 0.00296419i | ||||
\(159\) | −4.04616e11 | −0.315762 | ||||||||
\(160\) | 1.20633e12 | + | 3.23593e11i | 0.909509 | + | 0.243972i | ||||
\(161\) | 8.63946e11 | 0.629426 | ||||||||
\(162\) | −3.62680e11 | + | 3.26523e11i | −0.255383 | + | 0.229922i | ||||
\(163\) | −2.21603e11 | + | 2.21603e11i | −0.150850 | + | 0.150850i | −0.778497 | − | 0.627648i | \(-0.784018\pi\) |
0.627648 | + | 0.778497i | \(0.284018\pi\) | |||||||
\(164\) | −1.79855e11 | − | 1.89236e10i | −0.118381 | − | 0.0124555i | ||||
\(165\) | −9.24891e11 | − | 9.24891e11i | −0.588747 | − | 0.588747i | ||||
\(166\) | −1.57448e11 | + | 3.00112e12i | −0.0969489 | + | 1.84794i | ||||
\(167\) | 8.35995e11i | 0.498039i | 0.968498 | + | 0.249019i | \(0.0801083\pi\) | ||||
−0.968498 | + | 0.249019i | \(0.919892\pi\) | |||||||
\(168\) | −1.28794e11 | + | 8.12301e11i | −0.0742496 | + | 0.468291i | ||||
\(169\) | − | 2.13190e12i | − | 1.18957i | ||||||
\(170\) | −1.14366e12 | − | 6.00001e10i | −0.617772 | − | 0.0324103i | ||||
\(171\) | −1.05569e12 | − | 1.05569e12i | −0.552152 | − | 0.552152i | ||||
\(172\) | 4.09207e11 | − | 3.31295e11i | 0.207270 | − | 0.167806i | ||||
\(173\) | 1.16818e12 | − | 1.16818e12i | 0.573132 | − | 0.573132i | −0.359870 | − | 0.933002i | \(-0.617179\pi\) |
0.933002 | + | 0.359870i | \(0.117179\pi\) | |||||||
\(174\) | 1.04250e12 | + | 1.15794e12i | 0.495514 | + | 0.550385i | ||||
\(175\) | 2.39224e11 | 0.110178 | ||||||||
\(176\) | 2.21258e12 | + | 3.40872e12i | 0.987595 | + | 1.52150i | ||||
\(177\) | 6.09256e11 | 0.263601 | ||||||||
\(178\) | −2.02404e12 | − | 2.24818e12i | −0.849005 | − | 0.943020i | ||||
\(179\) | −9.75915e11 | + | 9.75915e11i | −0.396936 | + | 0.396936i | −0.877151 | − | 0.480215i | \(-0.840559\pi\) |
0.480215 | + | 0.877151i | \(0.340559\pi\) | |||||||
\(180\) | −1.14521e12 | − | 1.41454e12i | −0.451738 | − | 0.557976i | ||||
\(181\) | 2.26186e12 | + | 2.26186e12i | 0.865435 | + | 0.865435i | 0.991963 | − | 0.126528i | \(-0.0403835\pi\) |
−0.126528 | + | 0.991963i | \(0.540384\pi\) | |||||||
\(182\) | −3.87215e12 | − | 2.03145e11i | −1.43734 | − | 0.0754075i | ||||
\(183\) | 3.58844e11i | 0.129248i | ||||||||
\(184\) | −1.49787e12 | + | 1.08789e12i | −0.523573 | + | 0.380265i | ||||
\(185\) | 3.44599e12i | 1.16915i | ||||||||
\(186\) | −2.58869e10 | + | 4.93429e11i | −0.00852625 | + | 0.162519i | ||||
\(187\) | −2.63488e12 | − | 2.63488e12i | −0.842622 | − | 0.842622i | ||||
\(188\) | −4.12974e11 | + | 3.92501e12i | −0.128249 | + | 1.21891i | ||||
\(189\) | 1.95900e12 | − | 1.95900e12i | 0.590874 | − | 0.590874i | ||||
\(190\) | 2.44642e12 | − | 2.20252e12i | 0.716780 | − | 0.645320i | ||||
\(191\) | −1.55903e12 | −0.443785 | −0.221892 | − | 0.975071i | \(-0.571223\pi\) | ||||
−0.221892 | + | 0.975071i | \(0.571223\pi\) | |||||||
\(192\) | −7.99560e11 | − | 1.57051e12i | −0.221154 | − | 0.434395i | ||||
\(193\) | −3.02138e12 | −0.812157 | −0.406079 | − | 0.913838i | \(-0.633104\pi\) | ||||
−0.406079 | + | 0.913838i | \(0.633104\pi\) | |||||||
\(194\) | 1.52225e12 | − | 1.37049e12i | 0.397718 | − | 0.358068i | ||||
\(195\) | −1.89095e12 | + | 1.89095e12i | −0.480275 | + | 0.480275i | ||||
\(196\) | 2.28234e10 | − | 2.16920e11i | 0.00563601 | − | 0.0535662i | ||||
\(197\) | −2.13585e12 | − | 2.13585e12i | −0.512868 | − | 0.512868i | 0.402536 | − | 0.915404i | \(-0.368129\pi\) |
−0.915404 | + | 0.402536i | \(0.868129\pi\) | |||||||
\(198\) | 3.10251e11 | − | 5.91369e12i | 0.0724527 | − | 1.38102i | ||||
\(199\) | 2.41327e12i | 0.548169i | 0.961706 | + | 0.274084i | \(0.0883748\pi\) | ||||
−0.961706 | + | 0.274084i | \(0.911625\pi\) | |||||||
\(200\) | −4.14756e11 | + | 3.01233e11i | −0.0916490 | + | 0.0665637i | ||||
\(201\) | − | 2.82371e12i | − | 0.607074i | ||||||
\(202\) | 3.29698e12 | + | 1.72970e11i | 0.689738 | + | 0.0361859i | ||||
\(203\) | 5.13253e12 | + | 5.13253e12i | 1.04497 | + | 1.04497i | ||||
\(204\) | 1.01681e12 | + | 1.25594e12i | 0.201499 | + | 0.248887i | ||||
\(205\) | −4.10864e11 | + | 4.10864e11i | −0.0792597 | + | 0.0792597i | ||||
\(206\) | −2.77391e12 | − | 3.08108e12i | −0.520982 | − | 0.578673i | ||||
\(207\) | 2.69763e12 | 0.493339 | ||||||||
\(208\) | 6.96918e12 | − | 4.52365e12i | 1.24118 | − | 0.805639i | ||||
\(209\) | 1.07107e13 | 1.85786 | ||||||||
\(210\) | 1.76805e12 | + | 1.96383e12i | 0.298736 | + | 0.331817i | ||||
\(211\) | −5.23620e12 | + | 5.23620e12i | −0.861912 | + | 0.861912i | −0.991560 | − | 0.129648i | \(-0.958615\pi\) |
0.129648 | + | 0.991560i | \(0.458615\pi\) | |||||||
\(212\) | 3.13919e12 | − | 2.54149e12i | 0.503466 | − | 0.407607i | ||||
\(213\) | 3.33872e11 | + | 3.33872e11i | 0.0521785 | + | 0.0521785i | ||||
\(214\) | −2.72195e12 | − | 1.42802e11i | −0.414576 | − | 0.0217500i | ||||
\(215\) | − | 1.69162e12i | − | 0.251126i | ||||||
\(216\) | −9.29641e11 | + | 5.86323e12i | −0.134530 | + | 0.848480i | ||||
\(217\) | 2.30184e12i | 0.324749i | ||||||||
\(218\) | 6.42487e11 | − | 1.22464e13i | 0.0883799 | − | 1.68461i | ||||
\(219\) | −3.17164e12 | − | 3.17164e12i | −0.425443 | − | 0.425443i | ||||
\(220\) | 1.29852e13 | + | 1.36625e12i | 1.69872 | + | 0.178733i | ||||
\(221\) | −5.38706e12 | + | 5.38706e12i | −0.687376 | + | 0.687376i | ||||
\(222\) | 3.61360e12 | − | 3.25334e12i | 0.449779 | − | 0.404938i | ||||
\(223\) | −6.20344e12 | −0.753279 | −0.376639 | − | 0.926360i | \(-0.622920\pi\) | ||||
−0.376639 | + | 0.926360i | \(0.622920\pi\) | |||||||
\(224\) | −4.10302e12 | − | 7.11117e12i | −0.486115 | − | 0.842514i | ||||
\(225\) | 7.46965e11 | 0.0863568 | ||||||||
\(226\) | −8.74979e12 | + | 7.87747e12i | −0.987191 | + | 0.888772i | ||||
\(227\) | 9.21304e12 | − | 9.21304e12i | 1.01452 | − | 1.01452i | 0.0146273 | − | 0.999893i | \(-0.495344\pi\) |
0.999893 | − | 0.0146273i | \(-0.00465618\pi\) | |||||||
\(228\) | −4.61930e12 | − | 4.86024e11i | −0.496518 | − | 0.0522416i | ||||
\(229\) | 2.22123e12 | + | 2.22123e12i | 0.233077 | + | 0.233077i | 0.813976 | − | 0.580899i | \(-0.197299\pi\) |
−0.580899 | + | 0.813976i | \(0.697299\pi\) | |||||||
\(230\) | −3.11619e11 | + | 5.93976e12i | −0.0319242 | + | 0.608507i | ||||
\(231\) | 8.59788e12i | 0.860054i | ||||||||
\(232\) | −1.53615e13 | − | 2.43563e12i | −1.50055 | − | 0.237918i | ||||
\(233\) | − | 3.09041e12i | − | 0.294821i | −0.989075 | − | 0.147411i | \(-0.952906\pi\) | ||
0.989075 | − | 0.147411i | \(-0.0470939\pi\) | |||||||
\(234\) | −1.20906e13 | − | 6.34312e11i | −1.12658 | − | 0.0591038i | ||||
\(235\) | 8.96638e12 | + | 8.96638e12i | 0.816101 | + | 0.816101i | ||||
\(236\) | −4.72687e12 | + | 3.82688e12i | −0.420298 | + | 0.340274i | ||||
\(237\) | 1.75773e10 | − | 1.75773e10i | 0.00152699 | − | 0.00152699i | ||||
\(238\) | 5.03691e12 | + | 5.59468e12i | 0.427554 | + | 0.474900i | ||||
\(239\) | −2.10296e13 | −1.74439 | −0.872194 | − | 0.489160i | \(-0.837304\pi\) | ||||
−0.872194 | + | 0.489160i | \(0.837304\pi\) | |||||||
\(240\) | −5.53824e12 | − | 1.17847e12i | −0.448962 | − | 0.0955336i | ||||
\(241\) | −1.90768e13 | −1.51151 | −0.755757 | − | 0.654852i | \(-0.772731\pi\) | ||||
−0.755757 | + | 0.654852i | \(0.772731\pi\) | |||||||
\(242\) | 1.97862e13 | + | 2.19772e13i | 1.53242 | + | 1.70211i | ||||
\(243\) | 9.58768e12 | − | 9.58768e12i | 0.725904 | − | 0.725904i | ||||
\(244\) | −2.25399e12 | − | 2.78407e12i | −0.166843 | − | 0.206080i | ||||
\(245\) | −4.95536e11 | − | 4.95536e11i | −0.0358642 | − | 0.0358642i | ||||
\(246\) | 8.18744e11 | + | 4.29539e10i | 0.0579436 | + | 0.00303990i | ||||
\(247\) | − | 2.18982e13i | − | 1.51557i | ||||||
\(248\) | −2.89850e12 | − | 3.99084e12i | −0.196196 | − | 0.270134i | ||||
\(249\) | − | 1.36242e13i | − | 0.902019i | ||||||
\(250\) | −8.48055e11 | + | 1.61648e13i | −0.0549230 | + | 1.04689i | ||||
\(251\) | 7.66376e12 | + | 7.66376e12i | 0.485553 | + | 0.485553i | 0.906900 | − | 0.421347i | \(-0.138442\pi\) |
−0.421347 | + | 0.906900i | \(0.638442\pi\) | |||||||
\(252\) | −1.25184e12 | + | 1.18978e13i | −0.0775973 | + | 0.737505i | ||||
\(253\) | −1.36846e13 | + | 1.36846e13i | −0.829985 | + | 0.829985i | ||||
\(254\) | 8.39431e12 | − | 7.55743e12i | 0.498195 | − | 0.448527i | ||||
\(255\) | 5.19190e12 | 0.301547 | ||||||||
\(256\) | 1.60681e13 | + | 7.16249e12i | 0.913366 | + | 0.407140i | ||||
\(257\) | 7.28346e12 | 0.405234 | 0.202617 | − | 0.979258i | \(-0.435055\pi\) | ||||
0.202617 | + | 0.979258i | \(0.435055\pi\) | |||||||
\(258\) | −1.77390e12 | + | 1.59705e12i | −0.0966097 | + | 0.0869781i | ||||
\(259\) | 1.60171e13 | − | 1.60171e13i | 0.853957 | − | 0.853957i | ||||
\(260\) | 2.79331e12 | − | 2.65484e13i | 0.145803 | − | 1.38575i | ||||
\(261\) | 1.60261e13 | + | 1.60261e13i | 0.819039 | + | 0.819039i | ||||
\(262\) | 8.52221e10 | − | 1.62442e12i | 0.00426477 | − | 0.0812906i | ||||
\(263\) | − | 2.25606e13i | − | 1.10559i | −0.833317 | − | 0.552795i | \(-0.813561\pi\) | ||
0.833317 | − | 0.552795i | \(-0.186439\pi\) | |||||||
\(264\) | −1.08265e13 | − | 1.49066e13i | −0.519599 | − | 0.715415i | ||||
\(265\) | − | 1.29771e13i | − | 0.609993i | ||||||
\(266\) | −2.16085e13 | − | 1.13365e12i | −0.994891 | − | 0.0521952i | ||||
\(267\) | 9.69735e12 | + | 9.69735e12i | 0.437362 | + | 0.437362i | ||||
\(268\) | 1.77364e13 | + | 2.19076e13i | 0.783653 | + | 0.967949i | ||||
\(269\) | −1.76010e13 | + | 1.76010e13i | −0.761904 | + | 0.761904i | −0.976666 | − | 0.214762i | \(-0.931102\pi\) |
0.214762 | + | 0.976666i | \(0.431102\pi\) | |||||||
\(270\) | 1.27618e13 | + | 1.41750e13i | 0.541268 | + | 0.601206i | ||||
\(271\) | 2.19742e13 | 0.913236 | 0.456618 | − | 0.889663i | \(-0.349061\pi\) | ||||
0.456618 | + | 0.889663i | \(0.349061\pi\) | |||||||
\(272\) | −1.57777e13 | − | 3.35729e12i | −0.642560 | − | 0.136729i | ||||
\(273\) | 1.75785e13 | 0.701596 | ||||||||
\(274\) | 2.64904e13 | + | 2.94239e13i | 1.03624 | + | 1.15099i | ||||
\(275\) | −3.78923e12 | + | 3.78923e12i | −0.145285 | + | 0.145285i | ||||
\(276\) | 6.52287e12 | − | 5.28092e12i | 0.245154 | − | 0.198477i | ||||
\(277\) | −2.95361e13 | − | 2.95361e13i | −1.08821 | − | 1.08821i | −0.995712 | − | 0.0925024i | \(-0.970513\pi\) |
−0.0925024 | − | 0.995712i | \(-0.529487\pi\) | |||||||
\(278\) | −3.56839e13 | − | 1.87209e12i | −1.28892 | − | 0.0676208i | ||||
\(279\) | 7.18740e12i | 0.254536i | ||||||||
\(280\) | −2.60526e13 | − | 4.13075e12i | −0.904652 | − | 0.143436i | ||||
\(281\) | − | 4.87360e13i | − | 1.65945i | −0.558169 | − | 0.829727i | \(-0.688496\pi\) | ||
0.558169 | − | 0.829727i | \(-0.311504\pi\) | |||||||
\(282\) | 9.37393e11 | − | 1.78676e13i | 0.0313005 | − | 0.596619i | ||||
\(283\) | −1.02370e13 | − | 1.02370e13i | −0.335233 | − | 0.335233i | 0.519337 | − | 0.854570i | \(-0.326179\pi\) |
−0.854570 | + | 0.519337i | \(0.826179\pi\) | |||||||
\(284\) | −4.68745e12 | − | 4.93195e11i | −0.150552 | − | 0.0158405i | ||||
\(285\) | −1.05524e13 | + | 1.05524e13i | −0.332434 | + | 0.332434i | ||||
\(286\) | 6.45514e13 | − | 5.81159e13i | 1.99477 | − | 1.79590i | ||||
\(287\) | 3.81944e12 | 0.115784 | ||||||||
\(288\) | −1.28115e13 | − | 2.22043e13i | −0.381014 | − | 0.660356i | ||||
\(289\) | −1.94809e13 | −0.568422 | ||||||||
\(290\) | −3.71382e13 | + | 3.34357e13i | −1.06324 | + | 0.957240i | ||||
\(291\) | −6.56610e12 | + | 6.56610e12i | −0.184457 | + | 0.184457i | ||||
\(292\) | 4.45288e13 | + | 4.68514e12i | 1.22754 | + | 0.129157i | ||||
\(293\) | 3.01060e13 | + | 3.01060e13i | 0.814480 | + | 0.814480i | 0.985302 | − | 0.170822i | \(-0.0546422\pi\) |
−0.170822 | + | 0.985302i | \(0.554642\pi\) | |||||||
\(294\) | −5.18059e10 | + | 9.87472e11i | −0.00137553 | + | 0.0262189i | ||||
\(295\) | 1.95404e13i | 0.509228i | ||||||||
\(296\) | −7.60090e12 | + | 4.79388e13i | −0.194429 | + | 1.22626i | ||||
\(297\) | 6.20599e13i | 1.55830i | ||||||||
\(298\) | 7.66087e12 | + | 4.01914e11i | 0.188838 | + | 0.00990702i | ||||
\(299\) | 2.79784e13 | + | 2.79784e13i | 0.677067 | + | 0.677067i | ||||
\(300\) | 1.80616e12 | − | 1.46227e12i | 0.0429131 | − | 0.0347425i | ||||
\(301\) | −7.86273e12 | + | 7.86273e12i | −0.183425 | + | 0.183425i | ||||
\(302\) | −2.30786e13 | − | 2.56342e13i | −0.528653 | − | 0.587194i | ||||
\(303\) | −1.49674e13 | −0.336675 | ||||||||
\(304\) | 3.88914e13 | − | 2.52442e13i | 0.859110 | − | 0.557643i | ||||
\(305\) | −1.15090e13 | −0.249684 | ||||||||
\(306\) | 1.57275e13 | + | 1.74691e13i | 0.335114 | + | 0.372223i | ||||
\(307\) | −1.69140e13 | + | 1.69140e13i | −0.353986 | + | 0.353986i | −0.861590 | − | 0.507605i | \(-0.830531\pi\) |
0.507605 | + | 0.861590i | \(0.330531\pi\) | |||||||
\(308\) | −5.40053e13 | − | 6.67061e13i | −1.11022 | − | 1.37131i | ||||
\(309\) | 1.32900e13 | + | 1.32900e13i | 0.268382 | + | 0.268382i | ||||
\(310\) | −1.58255e13 | − | 8.30257e11i | −0.313956 | − | 0.0164711i | ||||
\(311\) | − | 2.82033e13i | − | 0.549691i | −0.961488 | − | 0.274845i | \(-0.911373\pi\) | ||
0.961488 | − | 0.274845i | \(-0.0886266\pi\) | |||||||
\(312\) | −3.04768e13 | + | 2.21350e13i | −0.583606 | + | 0.423867i | ||||
\(313\) | 4.08430e13i | 0.768465i | 0.923236 | + | 0.384232i | \(0.125534\pi\) | ||||
−0.923236 | + | 0.384232i | \(0.874466\pi\) | |||||||
\(314\) | 3.10390e12 | − | 5.91633e13i | 0.0573845 | − | 1.09380i | ||||
\(315\) | 2.71797e13 | + | 2.71797e13i | 0.493783 | + | 0.493783i | ||||
\(316\) | −2.59652e10 | + | 2.46780e11i | −0.000463567 | + | 0.00440586i | ||||
\(317\) | 1.25175e13 | − | 1.25175e13i | 0.219630 | − | 0.219630i | −0.588713 | − | 0.808342i | \(-0.700365\pi\) |
0.808342 | + | 0.588713i | \(0.200365\pi\) | |||||||
\(318\) | −1.36083e13 | + | 1.22516e13i | −0.234668 | + | 0.211273i | ||||
\(319\) | −1.62595e14 | −2.75587 | ||||||||
\(320\) | 5.03703e13 | − | 2.56439e13i | 0.839170 | − | 0.427228i | ||||
\(321\) | 1.23569e13 | 0.202363 | ||||||||
\(322\) | 2.90567e13 | − | 2.61599e13i | 0.467778 | − | 0.421142i | ||||
\(323\) | −3.00624e13 | + | 3.00624e13i | −0.475784 | + | 0.475784i | ||||
\(324\) | −2.31092e12 | + | 2.19636e13i | −0.0359573 | + | 0.341748i | ||||
\(325\) | 7.74713e12 | + | 7.74713e12i | 0.118517 | + | 0.118517i | ||||
\(326\) | −7.43043e11 | + | 1.41631e13i | −0.0111768 | + | 0.213041i | ||||
\(327\) | 5.55954e13i | 0.822292i | ||||||||
\(328\) | −6.62198e12 | + | 4.80947e12i | −0.0963123 | + | 0.0699506i | ||||
\(329\) | − | 8.33524e13i | − | 1.19218i | ||||||
\(330\) | −5.91117e13 | − | 3.10119e12i | −0.831471 | − | 0.0436216i | ||||
\(331\) | −8.71388e13 | − | 8.71388e13i | −1.20547 | − | 1.20547i | −0.972478 | − | 0.232996i | \(-0.925147\pi\) |
−0.232996 | − | 0.972478i | \(-0.574853\pi\) | |||||||
\(332\) | 8.55771e13 | + | 1.05703e14i | 1.16439 | + | 1.43822i | ||||
\(333\) | 5.00127e13 | − | 5.00127e13i | 0.669326 | − | 0.669326i | ||||
\(334\) | 2.53136e13 | + | 2.81167e13i | 0.333233 | + | 0.370133i | ||||
\(335\) | 9.05635e13 | 1.17275 | ||||||||
\(336\) | 2.02644e13 | + | 3.12196e13i | 0.258148 | + | 0.397705i | ||||
\(337\) | 1.31167e14 | 1.64384 | 0.821919 | − | 0.569604i | \(-0.192904\pi\) | ||||
0.821919 | + | 0.569604i | \(0.192904\pi\) | |||||||
\(338\) | −6.45529e13 | − | 7.17013e13i | −0.795929 | − | 0.884066i | ||||
\(339\) | 3.77416e13 | − | 3.77416e13i | 0.457848 | − | 0.457848i | ||||
\(340\) | −4.02811e13 | + | 3.26116e13i | −0.480803 | + | 0.389258i | ||||
\(341\) | −3.64605e13 | − | 3.64605e13i | −0.428226 | − | 0.428226i | ||||
\(342\) | −6.74715e13 | − | 3.53977e12i | −0.779789 | − | 0.0409102i | ||||
\(343\) | 9.01319e13i | 1.02509i | ||||||||
\(344\) | 3.73124e12 | − | 2.35329e13i | 0.0417621 | − | 0.263393i | ||||
\(345\) | − | 2.69649e13i | − | 0.297025i | ||||||
\(346\) | 3.91693e12 | − | 7.46606e13i | 0.0424647 | − | 0.809419i | ||||
\(347\) | 1.77089e13 | + | 1.77089e13i | 0.188964 | + | 0.188964i | 0.795248 | − | 0.606284i | \(-0.207341\pi\) |
−0.606284 | + | 0.795248i | \(0.707341\pi\) | |||||||
\(348\) | 7.01240e13 | + | 7.37816e12i | 0.736513 | + | 0.0774930i | ||||
\(349\) | 6.42641e13 | − | 6.42641e13i | 0.664399 | − | 0.664399i | −0.292015 | − | 0.956414i | \(-0.594326\pi\) |
0.956414 | + | 0.292015i | \(0.0943257\pi\) | |||||||
\(350\) | 8.04571e12 | − | 7.24359e12i | 0.0818823 | − | 0.0737190i | ||||
\(351\) | 1.26882e14 | 1.27120 | ||||||||
\(352\) | 1.77629e14 | + | 4.76482e13i | 1.75198 | + | 0.469961i | ||||
\(353\) | −5.20465e13 | −0.505395 | −0.252697 | − | 0.967545i | \(-0.581318\pi\) | ||||
−0.252697 | + | 0.967545i | \(0.581318\pi\) | |||||||
\(354\) | 2.04908e13 | − | 1.84480e13i | 0.195903 | − | 0.176373i | ||||
\(355\) | −1.07081e13 | + | 1.07081e13i | −0.100799 | + | 0.100799i | ||||
\(356\) | −1.36148e14 | − | 1.43249e13i | −1.26193 | − | 0.132775i | ||||
\(357\) | −2.41322e13 | − | 2.41322e13i | −0.220253 | − | 0.220253i | ||||
\(358\) | −3.27228e12 | + | 6.23728e13i | −0.0294099 | + | 0.560581i | ||||
\(359\) | − | 6.76326e13i | − | 0.598599i | −0.954159 | − | 0.299300i | \(-0.903247\pi\) | ||
0.954159 | − | 0.299300i | \(-0.0967530\pi\) | |||||||
\(360\) | −8.13479e13 | − | 1.28981e13i | −0.709059 | − | 0.112424i | ||||
\(361\) | − | 5.71224e12i | − | 0.0490362i | ||||||
\(362\) | 1.44560e14 | + | 7.58410e12i | 1.22223 | + | 0.0641220i | ||||
\(363\) | −9.47971e13 | − | 9.47971e13i | −0.789421 | − | 0.789421i | ||||
\(364\) | −1.36382e14 | + | 1.10415e14i | −1.11866 | + | 0.905668i | ||||
\(365\) | 1.01723e14 | − | 1.01723e14i | 0.821877 | − | 0.821877i | ||||
\(366\) | 1.08656e13 | + | 1.20689e13i | 0.0864787 | + | 0.0960550i | ||||
\(367\) | −9.78016e13 | −0.766801 | −0.383400 | − | 0.923582i | \(-0.625247\pi\) | ||||
−0.383400 | + | 0.923582i | \(0.625247\pi\) | |||||||
\(368\) | −1.74365e13 | + | 8.19434e13i | −0.134678 | + | 0.632923i | ||||
\(369\) | 1.19260e13 | 0.0907508 | ||||||||
\(370\) | 1.04343e14 | + | 1.15897e14i | 0.782265 | + | 0.868889i | ||||
\(371\) | −6.03181e13 | + | 6.03181e13i | −0.445545 | + | 0.445545i | ||||
\(372\) | 1.40702e13 | + | 1.73791e13i | 0.102403 | + | 0.126486i | ||||
\(373\) | −2.41318e13 | − | 2.41318e13i | −0.173058 | − | 0.173058i | 0.615264 | − | 0.788322i | \(-0.289050\pi\) |
−0.788322 | + | 0.615264i | \(0.789050\pi\) | |||||||
\(374\) | −1.68401e14 | − | 8.83485e12i | −1.19001 | − | 0.0624318i | ||||
\(375\) | − | 7.33835e13i | − | 0.511007i | ||||||
\(376\) | 1.04958e14 | + | 1.44513e14i | 0.720250 | + | 0.991684i | ||||
\(377\) | 3.32428e14i | 2.24813i | ||||||||
\(378\) | 6.56860e12 | − | 1.25204e14i | 0.0437792 | − | 0.834475i | ||||
\(379\) | −4.15025e13 | − | 4.15025e13i | −0.272620 | − | 0.272620i | 0.557534 | − | 0.830154i | \(-0.311748\pi\) |
−0.830154 | + | 0.557534i | \(0.811748\pi\) | |||||||
\(380\) | 1.55880e13 | − | 1.48153e14i | 0.100921 | − | 0.959180i | ||||
\(381\) | −3.62082e13 | + | 3.62082e13i | −0.231057 | + | 0.231057i | ||||
\(382\) | −5.24343e13 | + | 4.72068e13i | −0.329813 | + | 0.296932i | ||||
\(383\) | 2.16012e14 | 1.33932 | 0.669661 | − | 0.742667i | \(-0.266439\pi\) | ||||
0.669661 | + | 0.742667i | \(0.266439\pi\) | |||||||
\(384\) | −7.44456e13 | − | 2.86100e13i | −0.455006 | − | 0.174863i | ||||
\(385\) | −2.75756e14 | −1.66146 | ||||||||
\(386\) | −1.01617e14 | + | 9.14860e13i | −0.603581 | + | 0.543406i | ||||
\(387\) | −2.45510e13 | + | 2.45510e13i | −0.143767 | + | 0.143767i | ||||
\(388\) | 9.69943e12 | − | 9.21859e13i | 0.0559979 | − | 0.532219i | ||||
\(389\) | −1.03236e14 | − | 1.03236e14i | −0.587638 | − | 0.587638i | 0.349353 | − | 0.936991i | \(-0.386401\pi\) |
−0.936991 | + | 0.349353i | \(0.886401\pi\) | |||||||
\(390\) | −6.34042e12 | + | 1.20855e14i | −0.0355847 | + | 0.678279i | ||||
\(391\) | − | 7.68191e13i | − | 0.425106i | ||||||
\(392\) | −5.80062e12 | − | 7.98665e12i | −0.0316520 | − | 0.0435804i | ||||
\(393\) | 7.37440e12i | 0.0396796i | ||||||||
\(394\) | −1.36506e14 | − | 7.16156e12i | −0.724309 | − | 0.0379995i | ||||
\(395\) | 5.63749e11 | + | 5.63749e11i | 0.00294986 | + | 0.00294986i | ||||
\(396\) | −1.68629e14 | − | 2.08287e14i | −0.870180 | − | 1.07483i | ||||
\(397\) | 1.40605e13 | − | 1.40605e13i | 0.0715571 | − | 0.0715571i | −0.670422 | − | 0.741980i | \(-0.733887\pi\) |
0.741980 | + | 0.670422i | \(0.233887\pi\) | |||||||
\(398\) | 7.30728e13 | + | 8.11646e13i | 0.366774 | + | 0.407389i | ||||
\(399\) | 9.80965e13 | 0.485627 | ||||||||
\(400\) | −4.82812e12 | + | 2.26899e13i | −0.0235748 | + | 0.110790i | ||||
\(401\) | 3.66210e13 | 0.176375 | 0.0881874 | − | 0.996104i | \(-0.471893\pi\) | ||||
0.0881874 | + | 0.996104i | \(0.471893\pi\) | |||||||
\(402\) | −8.55005e13 | − | 9.49685e13i | −0.406187 | − | 0.451166i | ||||
\(403\) | −7.45439e13 | + | 7.45439e13i | −0.349329 | + | 0.349329i | ||||
\(404\) | 1.16123e14 | − | 9.40137e13i | 0.536812 | − | 0.434604i | ||||
\(405\) | 5.01741e13 | + | 5.01741e13i | 0.228811 | + | 0.228811i | ||||
\(406\) | 3.28031e14 | + | 1.72095e13i | 1.47578 | + | 0.0774241i | ||||
\(407\) | 5.07412e14i | 2.25212i | ||||||||
\(408\) | 7.22270e13 | + | 1.14519e13i | 0.316278 | + | 0.0501472i | ||||
\(409\) | 1.86904e14i | 0.807495i | 0.914870 | + | 0.403748i | \(0.132293\pi\) | ||||
−0.914870 | + | 0.403748i | \(0.867707\pi\) | |||||||
\(410\) | −1.37764e12 | + | 2.62592e13i | −0.00587253 | + | 0.111936i | ||||
\(411\) | −1.26918e14 | − | 1.26918e14i | −0.533816 | − | 0.533816i | ||||
\(412\) | −1.86587e14 | − | 1.96320e13i | −0.774368 | − | 0.0814759i | ||||
\(413\) | 9.08247e13 | − | 9.08247e13i | 0.371945 | − | 0.371945i | ||||
\(414\) | 9.07283e13 | − | 8.16830e13i | 0.366641 | − | 0.330088i | ||||
\(415\) | 4.36964e14 | 1.74253 | ||||||||
\(416\) | 9.74174e13 | − | 3.63165e14i | 0.383374 | − | 1.42919i | ||||
\(417\) | 1.61995e14 | 0.629148 | ||||||||
\(418\) | 3.60228e14 | − | 3.24315e14i | 1.38073 | − | 1.24308i | ||||
\(419\) | 4.88266e13 | − | 4.88266e13i | 0.184705 | − | 0.184705i | −0.608697 | − | 0.793403i | \(-0.708308\pi\) |
0.793403 | + | 0.608697i | \(0.208308\pi\) | |||||||
\(420\) | 1.18928e14 | + | 1.25131e13i | 0.444030 | + | 0.0467190i | ||||
\(421\) | −1.10431e12 | − | 1.10431e12i | −0.00406947 | − | 0.00406947i | 0.705069 | − | 0.709139i | \(-0.250916\pi\) |
−0.709139 | + | 0.705069i | \(0.750916\pi\) | |||||||
\(422\) | −1.75572e13 | + | 3.34657e14i | −0.0638610 | + | 1.21725i | ||||
\(423\) | − | 2.60264e14i | − | 0.934420i | ||||||
\(424\) | 2.86238e13 | − | 1.80530e14i | 0.101442 | − | 0.639790i | ||||
\(425\) | − | 2.12709e13i | − | 0.0744128i | ||||||
\(426\) | 2.13385e13 | + | 1.11948e12i | 0.0736903 | + | 0.00386603i | ||||
\(427\) | 5.34947e13 | + | 5.34947e13i | 0.182372 | + | 0.182372i | ||||
\(428\) | −9.58701e13 | + | 7.76165e13i | −0.322658 | + | 0.261224i | ||||
\(429\) | −2.78438e14 | + | 2.78438e14i | −0.925151 | + | 0.925151i | ||||
\(430\) | −5.12214e13 | − | 5.68935e13i | −0.168026 | − | 0.186632i | ||||
\(431\) | −1.91371e14 | −0.619800 | −0.309900 | − | 0.950769i | \(-0.600296\pi\) | ||||
−0.309900 | + | 0.950769i | \(0.600296\pi\) | |||||||
\(432\) | 1.46270e14 | + | 2.25345e14i | 0.467728 | + | 0.720587i | ||||
\(433\) | −4.41594e14 | −1.39425 | −0.697124 | − | 0.716951i | \(-0.745537\pi\) | ||||
−0.697124 | + | 0.716951i | \(0.745537\pi\) | |||||||
\(434\) | 6.96988e13 | + | 7.74169e13i | 0.217286 | + | 0.241347i | ||||
\(435\) | 1.60193e14 | − | 1.60193e14i | 0.493119 | − | 0.493119i | ||||
\(436\) | −3.49208e14 | − | 4.31333e14i | −1.06147 | − | 1.31110i | ||||
\(437\) | 1.56133e14 | + | 1.56133e14i | 0.468649 | + | 0.468649i | ||||
\(438\) | −2.02706e14 | − | 1.06346e13i | −0.600841 | − | 0.0315220i | ||||
\(439\) | − | 5.26739e14i | − | 1.54184i | −0.636930 | − | 0.770922i | \(-0.719796\pi\) | ||
0.636930 | − | 0.770922i | \(-0.280204\pi\) | |||||||
\(440\) | 4.78094e14 | − | 3.47234e14i | 1.38205 | − | 1.00377i | ||||
\(441\) | 1.43837e13i | 0.0410638i | ||||||||
\(442\) | −1.80630e13 | + | 3.44298e14i | −0.0509292 | + | 0.970761i | ||||
\(443\) | 2.17125e14 | + | 2.17125e14i | 0.604629 | + | 0.604629i | 0.941537 | − | 0.336909i | \(-0.109381\pi\) |
−0.336909 | + | 0.941537i | \(0.609381\pi\) | |||||||
\(444\) | 2.30251e13 | − | 2.18837e14i | 0.0633279 | − | 0.601885i | ||||
\(445\) | −3.11019e14 | + | 3.11019e14i | −0.844902 | + | 0.844902i | ||||
\(446\) | −2.08638e14 | + | 1.87837e14i | −0.559823 | + | 0.504011i | ||||
\(447\) | −3.47782e13 | −0.0921755 | ||||||||
\(448\) | −3.53318e14 | − | 1.14930e14i | −0.924989 | − | 0.300886i | ||||
\(449\) | −2.53750e14 | −0.656223 | −0.328112 | − | 0.944639i | \(-0.606412\pi\) | ||||
−0.328112 | + | 0.944639i | \(0.606412\pi\) | |||||||
\(450\) | 2.51223e13 | − | 2.26178e13i | 0.0641788 | − | 0.0577804i | ||||
\(451\) | −6.04987e13 | + | 6.04987e13i | −0.152677 | + | 0.152677i | ||||
\(452\) | −5.57518e13 | + | 5.29879e14i | −0.138994 | + | 1.32104i | ||||
\(453\) | 1.10571e14 | + | 1.10571e14i | 0.272334 | + | 0.272334i | ||||
\(454\) | 3.08916e13 | − | 5.88825e14i | 0.0751681 | − | 1.43278i | ||||
\(455\) | 5.63787e14i | 1.35535i | ||||||||
\(456\) | −1.70076e14 | + | 1.23524e14i | −0.403957 | + | 0.293390i | ||||
\(457\) | − | 1.31008e14i | − | 0.307439i | −0.988115 | − | 0.153719i | \(-0.950875\pi\) | ||
0.988115 | − | 0.153719i | \(-0.0491252\pi\) | |||||||
\(458\) | 1.41964e14 | + | 7.44786e12i | 0.329167 | + | 0.0172692i | ||||
\(459\) | −1.74188e14 | − | 1.74188e14i | −0.399069 | − | 0.399069i | ||||
\(460\) | 1.69373e14 | + | 2.09205e14i | 0.383420 | + | 0.473592i | ||||
\(461\) | 4.84798e14 | − | 4.84798e14i | 1.08444 | − | 1.08444i | 0.0883504 | − | 0.996089i | \(-0.471840\pi\) |
0.996089 | − | 0.0883504i | \(-0.0281595\pi\) | |||||||
\(462\) | 2.60340e14 | + | 2.89169e14i | 0.575453 | + | 0.639176i | ||||
\(463\) | −4.46724e13 | −0.0975761 | −0.0487881 | − | 0.998809i | \(-0.515536\pi\) | ||||
−0.0487881 | + | 0.998809i | \(0.515536\pi\) | |||||||
\(464\) | −5.90396e14 | + | 3.83222e14i | −1.27437 | + | 0.827184i | ||||
\(465\) | 7.18434e13 | 0.153248 | ||||||||
\(466\) | −9.35762e13 | − | 1.03938e14i | −0.197262 | − | 0.219106i | ||||
\(467\) | 4.14973e14 | − | 4.14973e14i | 0.864523 | − | 0.864523i | −0.127336 | − | 0.991860i | \(-0.540643\pi\) |
0.991860 | + | 0.127336i | \(0.0406427\pi\) | |||||||
\(468\) | −4.25845e14 | + | 3.44765e14i | −0.876798 | + | 0.709856i | ||||
\(469\) | −4.20944e14 | − | 4.20944e14i | −0.856591 | − | 0.856591i | ||||
\(470\) | 5.73060e14 | + | 3.00646e13i | 1.15256 | + | 0.0604668i | ||||
\(471\) | 2.68585e14i | 0.533908i | ||||||||
\(472\) | −4.31007e13 | + | 2.71835e14i | −0.0846843 | + | 0.534103i | ||||
\(473\) | − | 2.49086e14i | − | 0.483742i | ||||||
\(474\) | 5.89373e10 | − | 1.12340e12i | 0.000113138 | − | 0.00215653i | ||||
\(475\) | 4.32328e13 | + | 4.32328e13i | 0.0820348 | + | 0.0820348i | ||||
\(476\) | 3.38809e14 | + | 3.56481e13i | 0.635501 | + | 0.0668649i | ||||
\(477\) | −1.88340e14 | + | 1.88340e14i | −0.349215 | + | 0.349215i | ||||
\(478\) | −7.07281e14 | + | 6.36768e14i | −1.29640 | + | 1.16715i | ||||
\(479\) | −2.13619e14 | −0.387074 | −0.193537 | − | 0.981093i | \(-0.561996\pi\) | ||||
−0.193537 | + | 0.981093i | \(0.561996\pi\) | |||||||
\(480\) | −2.21949e14 | + | 1.28060e14i | −0.397581 | + | 0.229397i | ||||
\(481\) | 1.03741e15 | 1.83719 | ||||||||
\(482\) | −6.41602e14 | + | 5.77637e14i | −1.12333 | + | 1.01134i | ||||
\(483\) | −1.25334e14 | + | 1.25334e14i | −0.216950 | + | 0.216950i | ||||
\(484\) | 1.33092e15 | + | 1.40034e14i | 2.27773 | + | 0.239654i | ||||
\(485\) | −2.10591e14 | − | 2.10591e14i | −0.356337 | − | 0.356337i | ||||
\(486\) | 3.21478e13 | − | 6.12769e14i | 0.0537839 | − | 1.02517i | ||||
\(487\) | − | 6.10255e14i | − | 1.00949i | −0.863269 | − | 0.504745i | \(-0.831587\pi\) | ||
0.863269 | − | 0.504745i | \(-0.168413\pi\) | |||||||
\(488\) | −1.60108e14 | − | 2.53858e13i | −0.261881 | − | 0.0415223i | ||||
\(489\) | − | 6.42967e13i | − | 0.103990i | ||||||
\(490\) | −3.16707e13 | − | 1.66155e12i | −0.0506500 | − | 0.00265726i | ||||
\(491\) | 1.94984e14 | + | 1.94984e14i | 0.308355 | + | 0.308355i | 0.844271 | − | 0.535916i | \(-0.180034\pi\) |
−0.535916 | + | 0.844271i | \(0.680034\pi\) | |||||||
\(492\) | 2.88371e13 | − | 2.33466e13i | 0.0450966 | − | 0.0365102i | ||||
\(493\) | 4.56367e14 | − | 4.56367e14i | 0.705758 | − | 0.705758i | ||||
\(494\) | −6.63066e14 | − | 7.36492e14i | −1.01405 | − | 1.12634i | ||||
\(495\) | −8.61035e14 | −1.30224 | ||||||||
\(496\) | −2.18325e14 | − | 4.64568e13i | −0.326553 | − | 0.0694865i | ||||
\(497\) | 9.95438e13 | 0.147250 | ||||||||
\(498\) | −4.12535e14 | − | 4.58218e14i | −0.603531 | − | 0.670364i | ||||
\(499\) | −2.61674e14 | + | 2.61674e14i | −0.378623 | + | 0.378623i | −0.870605 | − | 0.491982i | \(-0.836273\pi\) |
0.491982 | + | 0.870605i | \(0.336273\pi\) | |||||||
\(500\) | 4.60939e14 | + | 5.69341e14i | 0.659643 | + | 0.814775i | ||||
\(501\) | −1.21279e14 | − | 1.21279e14i | −0.171664 | − | 0.171664i | ||||
\(502\) | 4.89807e14 | + | 2.56968e13i | 0.685732 | + | 0.0359757i | ||||
\(503\) | − | 7.38472e14i | − | 1.02261i | −0.859399 | − | 0.511305i | \(-0.829162\pi\) | ||
0.859399 | − | 0.511305i | \(-0.170838\pi\) | |||||||
\(504\) | 3.18158e14 | + | 4.38060e14i | 0.435788 | + | 0.600020i | ||||
\(505\) | − | 4.80042e14i | − | 0.650394i | ||||||
\(506\) | −4.58850e13 | + | 8.74614e14i | −0.0614955 | + | 1.17216i | ||||
\(507\) | 3.09278e14 | + | 3.09278e14i | 0.410020 | + | 0.410020i | ||||
\(508\) | 5.34867e13 | − | 5.08352e14i | 0.0701448 | − | 0.666675i | ||||
\(509\) | −3.46018e14 | + | 3.46018e14i | −0.448901 | + | 0.448901i | −0.894989 | − | 0.446088i | \(-0.852817\pi\) |
0.446088 | + | 0.894989i | \(0.352817\pi\) | |||||||
\(510\) | 1.74617e14 | − | 1.57208e14i | 0.224105 | − | 0.201762i | ||||
\(511\) | −9.45624e14 | −1.20061 | ||||||||
\(512\) | 7.57288e14 | − | 2.45642e14i | 0.951210 | − | 0.308544i | ||||
\(513\) | 7.08066e14 | 0.879889 | ||||||||
\(514\) | 2.44961e14 | − | 2.20540e14i | 0.301162 | − | 0.271138i | ||||
\(515\) | −4.26244e14 | + | 4.26244e14i | −0.518464 | + | 0.518464i | ||||
\(516\) | −1.13029e13 | + | 1.07426e14i | −0.0136024 | + | 0.129281i | ||||
\(517\) | 1.32028e15 | + | 1.32028e15i | 1.57205 | + | 1.57205i | ||||
\(518\) | 5.37060e13 | − | 1.02369e15i | 0.0632716 | − | 1.20602i | ||||
\(519\) | 3.38938e14i | 0.395094i | ||||||||
\(520\) | −7.09926e14 | − | 9.77470e14i | −0.818831 | − | 1.12742i | ||||
\(521\) | − | 8.53908e14i | − | 0.974549i | −0.873249 | − | 0.487275i | \(-0.837991\pi\) | ||
0.873249 | − | 0.487275i | \(-0.162009\pi\) | |||||||
\(522\) | 1.02426e15 | + | 5.37360e13i | 1.15671 | + | 0.0606844i | ||||
\(523\) | 3.68665e14 | + | 3.68665e14i | 0.411976 | + | 0.411976i | 0.882427 | − | 0.470450i | \(-0.155908\pi\) |
−0.470450 | + | 0.882427i | \(0.655908\pi\) | |||||||
\(524\) | −4.63204e13 | − | 5.72138e13i | −0.0512212 | − | 0.0632672i | ||||
\(525\) | −3.47046e13 | + | 3.47046e13i | −0.0379761 | + | 0.0379761i | ||||
\(526\) | −6.83124e14 | − | 7.58771e14i | −0.739738 | − | 0.821654i | ||||
\(527\) | 2.04672e14 | 0.219331 | ||||||||
\(528\) | −8.15490e14 | − | 1.73526e14i | −0.864833 | − | 0.184026i | ||||
\(529\) | 5.53839e14 | 0.581270 | ||||||||
\(530\) | −3.92940e14 | − | 4.36452e14i | −0.408140 | − | 0.453335i | ||||
\(531\) | 2.83596e14 | − | 2.83596e14i | 0.291528 | − | 0.291528i | ||||
\(532\) | −7.61076e14 | + | 6.16168e14i | −0.774308 | + | 0.626881i | ||||
\(533\) | 1.23690e14 | + | 1.23690e14i | 0.124548 | + | 0.124548i | ||||
\(534\) | 6.19778e14 | + | 3.25155e13i | 0.617674 | + | 0.0324051i | ||||
\(535\) | 3.96317e14i | 0.390928i | ||||||||
\(536\) | 1.25987e15 | + | 1.99758e14i | 1.23004 | + | 0.195028i | ||||
\(537\) | − | 2.83155e14i | − | 0.273631i | ||||||
\(538\) | −5.90168e13 | + | 1.12492e15i | −0.0564512 | + | 1.07602i | ||||
\(539\) | −7.29663e13 | − | 7.29663e13i | −0.0690851 | − | 0.0690851i | ||||
\(540\) | 8.58427e14 | + | 9.03202e13i | 0.804522 | + | 0.0846485i | ||||
\(541\) | −3.90393e14 | + | 3.90393e14i | −0.362174 | + | 0.362174i | −0.864613 | − | 0.502439i | \(-0.832436\pi\) |
0.502439 | + | 0.864613i | \(0.332436\pi\) | |||||||
\(542\) | 7.39050e14 | − | 6.65370e14i | 0.678700 | − | 0.611036i | ||||
\(543\) | −6.56264e14 | −0.596595 | ||||||||
\(544\) | −6.32301e14 | + | 3.64826e14i | −0.569023 | + | 0.328316i | ||||
\(545\) | −1.78309e15 | −1.58852 | ||||||||
\(546\) | 5.91210e14 | − | 5.32268e14i | 0.521413 | − | 0.469430i | ||||
\(547\) | 7.12794e14 | − | 7.12794e14i | 0.622348 | − | 0.622348i | −0.323783 | − | 0.946131i | \(-0.604955\pi\) |
0.946131 | + | 0.323783i | \(0.104955\pi\) | |||||||
\(548\) | 1.78188e15 | + | 1.87482e14i | 1.54023 | + | 0.162057i | ||||
\(549\) | 1.67034e14 | + | 1.67034e14i | 0.142941 | + | 0.142941i | ||||
\(550\) | −1.27054e13 | + | 2.42178e14i | −0.0107645 | + | 0.205182i | ||||
\(551\) | 1.85511e15i | 1.55610i | ||||||||
\(552\) | 5.94770e13 | − | 3.75121e14i | 0.0493951 | − | 0.311534i | ||||
\(553\) | − | 5.24067e12i | − | 0.00430922i | ||||||
\(554\) | −1.88772e15 | − | 9.90356e13i | −1.53685 | − | 0.0806283i | ||||
\(555\) | −4.99915e14 | − | 4.99915e14i | −0.402981 | − | 0.402981i | ||||
\(556\) | −1.25683e15 | + | 1.01753e15i | −1.00315 | + | 0.812148i | ||||
\(557\) | −1.72156e15 | + | 1.72156e15i | −1.36057 | + | 1.36057i | −0.487370 | + | 0.873196i | \(0.662044\pi\) |
−0.873196 | + | 0.487370i | \(0.837956\pi\) | |||||||
\(558\) | 2.17631e14 | + | 2.41731e14i | 0.170307 | + | 0.189166i | ||||
\(559\) | −5.09260e14 | −0.394616 | ||||||||
\(560\) | −1.00129e15 | + | 6.49932e14i | −0.768292 | + | 0.498694i | ||||
\(561\) | 7.64494e14 | 0.580869 | ||||||||
\(562\) | −1.47570e15 | − | 1.63912e15i | −1.11032 | − | 1.23328i | ||||
\(563\) | −1.43337e15 | + | 1.43337e15i | −1.06798 | + | 1.06798i | −0.0704611 | + | 0.997515i | \(0.522447\pi\) |
−0.997515 | + | 0.0704611i | \(0.977553\pi\) | |||||||
\(564\) | −5.09497e14 | − | 6.29318e14i | −0.375929 | − | 0.464339i | ||||
\(565\) | 1.21047e15 | + | 1.21047e15i | 0.884478 | + | 0.884478i | ||||
\(566\) | −6.54267e14 | − | 3.43249e13i | −0.473440 | − | 0.0248382i | ||||
\(567\) | − | 4.66424e14i | − | 0.334252i | ||||||
\(568\) | −1.72585e14 | + | 1.25346e14i | −0.122486 | + | 0.0889603i | ||||
\(569\) | − | 2.36411e15i | − | 1.66169i | −0.556501 | − | 0.830847i | \(-0.687856\pi\) | ||
0.556501 | − | 0.830847i | \(-0.312144\pi\) | |||||||
\(570\) | −3.53827e13 | + | 6.74428e14i | −0.0246308 | + | 0.469488i | ||||
\(571\) | 1.65021e15 | + | 1.65021e15i | 1.13773 | + | 1.13773i | 0.988856 | + | 0.148877i | \(0.0475659\pi\) |
0.148877 | + | 0.988856i | \(0.452434\pi\) | |||||||
\(572\) | 4.11307e14 | − | 3.90917e15i | 0.280859 | − | 2.66936i | ||||
\(573\) | 2.26172e14 | − | 2.26172e14i | 0.152963 | − | 0.152963i | ||||
\(574\) | 1.28458e14 | − | 1.15651e14i | 0.0860487 | − | 0.0774700i | ||||
\(575\) | −1.10474e14 | −0.0732968 | ||||||||
\(576\) | −1.10322e15 | − | 3.58862e14i | −0.725000 | − | 0.235833i | ||||
\(577\) | 2.92060e13 | 0.0190110 | 0.00950552 | − | 0.999955i | \(-0.496974\pi\) | ||||
0.00950552 | + | 0.999955i | \(0.496974\pi\) | |||||||
\(578\) | −6.55192e14 | + | 5.89872e14i | −0.422441 | + | 0.380325i | ||||
\(579\) | 4.38316e14 | − | 4.38316e14i | 0.279934 | − | 0.279934i | ||||
\(580\) | −2.36636e14 | + | 2.24905e15i | −0.149702 | + | 1.42281i | ||||
\(581\) | −2.03103e15 | − | 2.03103e15i | −1.27276 | − | 1.27276i | ||||
\(582\) | −2.20163e13 | + | 4.19653e14i | −0.0136669 | + | 0.260504i | ||||
\(583\) | − | 1.91084e15i | − | 1.17503i | ||||||
\(584\) | 1.63948e15 | − | 1.19074e15i | 0.998702 | − | 0.725347i | ||||
\(585\) | 1.76040e15i | 1.06232i | ||||||||
\(586\) | 1.92414e15 | + | 1.00946e14i | 1.15027 | + | 0.0603467i | ||||
\(587\) | 8.11373e14 | + | 8.11373e14i | 0.480519 | + | 0.480519i | 0.905297 | − | 0.424778i | \(-0.139648\pi\) |
−0.424778 | + | 0.905297i | \(0.639648\pi\) | |||||||
\(588\) | 2.81578e13 | + | 3.47799e13i | 0.0165205 | + | 0.0204058i | ||||
\(589\) | −4.15991e14 | + | 4.15991e14i | −0.241797 | + | 0.241797i | ||||
\(590\) | 5.91674e14 | + | 6.57193e14i | 0.340719 | + | 0.378449i | ||||
\(591\) | 6.19701e14 | 0.353550 | ||||||||
\(592\) | 1.19593e15 | + | 1.84246e15i | 0.675982 | + | 1.04142i | ||||
\(593\) | −9.56120e14 | −0.535441 | −0.267720 | − | 0.963497i | \(-0.586270\pi\) | ||||
−0.267720 | + | 0.963497i | \(0.586270\pi\) | |||||||
\(594\) | 1.87915e15 | + | 2.08724e15i | 1.04264 | + | 1.15810i | ||||
\(595\) | 7.73982e14 | − | 7.73982e14i | 0.425488 | − | 0.425488i | ||||
\(596\) | 2.69824e14 | − | 2.18450e14i | 0.146969 | − | 0.118987i | ||||
\(597\) | −3.50097e14 | − | 3.50097e14i | −0.188943 | − | 0.188943i | ||||
\(598\) | 1.78816e15 | + | 9.38125e13i | 0.956202 | + | 0.0501654i | ||||
\(599\) | − | 2.61157e15i | − | 1.38374i | −0.722024 | − | 0.691868i | \(-0.756788\pi\) | ||
0.722024 | − | 0.691868i | \(-0.243212\pi\) | |||||||
\(600\) | 1.64690e13 | − | 1.03870e14i | 0.00864639 | − | 0.0545327i | ||||
\(601\) | 3.71453e15i | 1.93239i | 0.257815 | + | 0.966194i | \(0.416998\pi\) | ||||
−0.257815 | + | 0.966194i | \(0.583002\pi\) | |||||||
\(602\) | −2.63640e13 | + | 5.02524e14i | −0.0135903 | + | 0.259045i | ||||
\(603\) | −1.31438e15 | − | 1.31438e15i | −0.671390 | − | 0.671390i | ||||
\(604\) | −1.55238e15 | − | 1.63336e14i | −0.785771 | − | 0.0826756i | ||||
\(605\) | 3.04038e15 | − | 3.04038e15i | 1.52501 | − | 1.52501i | ||||
\(606\) | −5.03391e14 | + | 4.53205e14i | −0.250211 | + | 0.225266i | ||||
\(607\) | 2.62166e15 | 1.29133 | 0.645666 | − | 0.763620i | \(-0.276580\pi\) | ||||
0.645666 | + | 0.763620i | \(0.276580\pi\) | |||||||
\(608\) | 5.43637e14 | − | 2.02664e15i | 0.265362 | − | 0.989252i | ||||
\(609\) | −1.48917e15 | −0.720358 | ||||||||
\(610\) | −3.87079e14 | + | 3.48489e14i | −0.185560 | + | 0.167061i | ||||
\(611\) | 2.69932e15 | − | 2.69932e15i | 1.28241 | − | 1.28241i | ||||
\(612\) | 1.05791e15 | + | 1.11309e14i | 0.498101 | + | 0.0524082i | ||||
\(613\) | 1.37113e14 | + | 1.37113e14i | 0.0639803 | + | 0.0639803i | 0.738373 | − | 0.674393i | \(-0.235594\pi\) |
−0.674393 | + | 0.738373i | \(0.735594\pi\) | |||||||
\(614\) | −5.67132e13 | + | 1.08101e15i | −0.0262276 | + | 0.499924i | ||||
\(615\) | − | 1.19209e14i | − | 0.0546384i | ||||||
\(616\) | −3.83617e15 | − | 6.08241e14i | −1.74262 | − | 0.276301i | ||||
\(617\) | − | 1.11737e15i | − | 0.503071i | −0.967848 | − | 0.251535i | \(-0.919065\pi\) | ||
0.967848 | − | 0.251535i | \(-0.0809355\pi\) | |||||||
\(618\) | 8.49392e14 | + | 4.45618e13i | 0.379028 | + | 0.0198850i | ||||
\(619\) | −1.57470e15 | − | 1.57470e15i | −0.696466 | − | 0.696466i | 0.267181 | − | 0.963646i | \(-0.413908\pi\) |
−0.963646 | + | 0.267181i | \(0.913908\pi\) | |||||||
\(620\) | −5.57393e14 | + | 4.51266e14i | −0.244347 | + | 0.197824i | ||||
\(621\) | −9.04667e14 | + | 9.04667e14i | −0.393084 | + | 0.393084i | ||||
\(622\) | −8.53984e14 | − | 9.48550e14i | −0.367792 | − | 0.408520i | ||||
\(623\) | 2.89126e15 | 1.23425 | ||||||||
\(624\) | −3.54777e14 | + | 1.66728e15i | −0.150120 | + | 0.705495i | ||||
\(625\) | 2.08354e15 | 0.873899 | ||||||||
\(626\) | 1.23671e15 | + | 1.37366e15i | 0.514172 | + | 0.571109i | ||||
\(627\) | −1.55382e15 | + | 1.55382e15i | −0.640366 | + | 0.640366i | ||||
\(628\) | −1.68705e15 | − | 2.08380e15i | −0.689206 | − | 0.851291i | ||||
\(629\) | −1.42419e15 | − | 1.42419e15i | −0.576751 | − | 0.576751i | ||||
\(630\) | 1.73711e15 | + | 9.11343e13i | 0.697356 | + | 0.0365855i | ||||
\(631\) | 2.16645e15i | 0.862159i | 0.902314 | + | 0.431079i | \(0.141867\pi\) | ||||
−0.902314 | + | 0.431079i | \(0.858133\pi\) | |||||||
\(632\) | 6.59910e12 | + | 9.08605e12i | 0.00260340 | + | 0.00358452i | ||||
\(633\) | − | 1.51925e15i | − | 0.594166i | ||||||
\(634\) | 4.19715e13 | − | 8.00018e14i | 0.0162728 | − | 0.310176i | ||||
\(635\) | −1.16129e15 | − | 1.16129e15i | −0.446360 | − | 0.446360i | ||||
\(636\) | −8.67091e13 | + | 8.24106e14i | −0.0330408 | + | 0.314028i | ||||
\(637\) | −1.49181e14 | + | 1.49181e14i | −0.0563567 | + | 0.0563567i | ||||
\(638\) | −5.46850e15 | + | 4.92331e15i | −2.04811 | + | 1.84393i | ||||
\(639\) | 3.10821e14 | 0.115413 | ||||||||
\(640\) | 9.17597e14 | − | 2.38766e15i | 0.337802 | − | 0.878988i | ||||
\(641\) | −8.53695e14 | −0.311590 | −0.155795 | − | 0.987789i | \(-0.549794\pi\) | ||||
−0.155795 | + | 0.987789i | \(0.549794\pi\) | |||||||
\(642\) | 4.15594e14 | − | 3.74161e14i | 0.150393 | − | 0.135399i | ||||
\(643\) | 9.15616e14 | − | 9.15616e14i | 0.328513 | − | 0.328513i | −0.523508 | − | 0.852021i | \(-0.675377\pi\) |
0.852021 | + | 0.523508i | \(0.175377\pi\) | |||||||
\(644\) | 1.85143e14 | − | 1.75965e15i | 0.0658621 | − | 0.625970i | ||||
\(645\) | 2.45406e14 | + | 2.45406e14i | 0.0865578 | + | 0.0865578i | ||||
\(646\) | −1.00800e14 | + | 1.92135e15i | −0.0352519 | + | 0.671936i | ||||
\(647\) | 2.43835e15i | 0.845518i | 0.906242 | + | 0.422759i | \(0.138938\pi\) | ||||
−0.906242 | + | 0.422759i | \(0.861062\pi\) | |||||||
\(648\) | 5.87325e14 | + | 8.08665e14i | 0.201937 | + | 0.278039i | ||||
\(649\) | 2.87727e15i | 0.980922i | ||||||||
\(650\) | 4.95135e14 | + | 2.59764e13i | 0.167379 | + | 0.00878122i | ||||
\(651\) | −3.33932e14 | − | 3.33932e14i | −0.111934 | − | 0.111934i | ||||
\(652\) | 4.03863e14 | + | 4.98842e14i | 0.134237 | + | 0.165806i | ||||
\(653\) | −1.10464e15 | + | 1.10464e15i | −0.364080 | + | 0.364080i | −0.865313 | − | 0.501233i | \(-0.832880\pi\) |
0.501233 | + | 0.865313i | \(0.332880\pi\) | |||||||
\(654\) | 1.68340e15 | + | 1.86982e15i | 0.550187 | + | 0.611113i | ||||
\(655\) | −2.36516e14 | −0.0766537 | ||||||||
\(656\) | −7.70856e13 | + | 3.62265e14i | −0.0247743 | + | 0.116428i | ||||
\(657\) | −2.95266e15 | −0.941032 | ||||||||
\(658\) | −2.52387e15 | − | 2.80336e15i | −0.797673 | − | 0.886004i | ||||
\(659\) | −2.32279e15 | + | 2.32279e15i | −0.728014 | + | 0.728014i | −0.970224 | − | 0.242210i | \(-0.922128\pi\) |
0.242210 | + | 0.970224i | \(0.422128\pi\) | |||||||
\(660\) | −2.08198e15 | + | 1.68557e15i | −0.647121 | + | 0.523910i | ||||
\(661\) | −6.73212e14 | − | 6.73212e14i | −0.207512 | − | 0.207512i | 0.595697 | − | 0.803209i | \(-0.296876\pi\) |
−0.803209 | + | 0.595697i | \(0.796876\pi\) | |||||||
\(662\) | −5.56923e15 | − | 2.92179e14i | −1.70246 | − | 0.0893163i | ||||
\(663\) | − | 1.56302e15i | − | 0.473848i | ||||||
\(664\) | 6.07881e15 | + | 9.63821e14i | 1.82765 | + | 0.289782i | ||||
\(665\) | 3.14621e15i | 0.938141i | ||||||||
\(666\) | 1.67694e14 | − | 3.19642e15i | 0.0495918 | − | 0.945269i | ||||
\(667\) | −2.37020e15 | − | 2.37020e15i | −0.695174 | − | 0.695174i | ||||
\(668\) | 1.70272e15 | + | 1.79153e14i | 0.495305 | + | 0.0521140i | ||||
\(669\) | 8.99942e14 | − | 8.99942e14i | 0.259640 | − | 0.259640i | ||||
\(670\) | 3.04588e15 | − | 2.74222e15i | 0.871569 | − | 0.784677i | ||||
\(671\) | −1.69468e15 | −0.480964 | ||||||||
\(672\) | 1.62686e15 | + | 4.36398e14i | 0.457951 | + | 0.122843i | ||||
\(673\) | 2.99678e15 | 0.836704 | 0.418352 | − | 0.908285i | \(-0.362608\pi\) | ||||
0.418352 | + | 0.908285i | \(0.362608\pi\) | |||||||
\(674\) | 4.41147e15 | − | 3.97167e15i | 1.22167 | − | 1.09987i | ||||
\(675\) | −2.50499e14 | + | 2.50499e14i | −0.0688075 | + | 0.0688075i | ||||
\(676\) | −4.34216e15 | − | 4.56865e14i | −1.18304 | − | 0.124475i | ||||
\(677\) | −1.70658e15 | − | 1.70658e15i | −0.461199 | − | 0.461199i | 0.437849 | − | 0.899048i | \(-0.355740\pi\) |
−0.899048 | + | 0.437849i | \(0.855740\pi\) | |||||||
\(678\) | 1.26549e14 | − | 2.41214e15i | 0.0339230 | − | 0.646606i | ||||
\(679\) | 1.95768e15i | 0.520545i | ||||||||
\(680\) | −3.67292e14 | + | 2.31650e15i | −0.0968751 | + | 0.610990i | ||||
\(681\) | 2.67310e15i | 0.699368i | ||||||||
\(682\) | −2.33027e15 | − | 1.22253e14i | −0.604771 | − | 0.0317282i | ||||
\(683\) | 5.32703e15 | + | 5.32703e15i | 1.37142 | + | 1.37142i | 0.858339 | + | 0.513084i | \(0.171497\pi\) |
0.513084 | + | 0.858339i | \(0.328503\pi\) | |||||||
\(684\) | −2.37642e15 | + | 1.92395e15i | −0.606897 | + | 0.491345i | ||||
\(685\) | 4.07057e15 | − | 4.07057e15i | 1.03123 | − | 1.03123i | ||||
\(686\) | 2.72915e15 | + | 3.03137e15i | 0.685875 | + | 0.761826i | ||||
\(687\) | −6.44475e14 | −0.160673 | ||||||||
\(688\) | −5.87074e14 | − | 9.04452e14i | −0.145197 | − | 0.223691i | ||||
\(689\) | −3.90674e15 | −0.958536 | ||||||||
\(690\) | −8.16483e14 | − | 9.06897e14i | −0.198736 | − | 0.220744i | ||||
\(691\) | −2.15825e15 | + | 2.15825e15i | −0.521161 | + | 0.521161i | −0.917922 | − | 0.396761i | \(-0.870134\pi\) |
0.396761 | + | 0.917922i | \(0.370134\pi\) | |||||||
\(692\) | −2.12895e15 | − | 2.62963e15i | −0.510014 | − | 0.629958i | ||||
\(693\) | 4.00213e15 | + | 4.00213e15i | 0.951171 | + | 0.951171i | ||||
\(694\) | 1.13181e15 | + | 5.93784e13i | 0.266868 | + | 0.0140008i | ||||
\(695\) | 5.19558e15i | 1.21540i | ||||||||
\(696\) | 2.58186e15 | − | 1.87517e15i | 0.599213 | − | 0.435202i | ||||
\(697\) | − | 3.39611e14i | − | 0.0781991i | ||||||
\(698\) | 2.15480e14 | − | 4.10726e15i | 0.0492268 | − | 0.938311i | ||||
\(699\) | 4.48331e14 | + | 4.48331e14i | 0.101619 | + | 0.101619i | ||||
\(700\) | 5.12655e13 | − | 4.87241e14i | 0.0115289 | − | 0.109573i | ||||
\(701\) | 1.52455e15 | − | 1.52455e15i | 0.340167 | − | 0.340167i | −0.516263 | − | 0.856430i | \(-0.672677\pi\) |
0.856430 | + | 0.516263i | \(0.172677\pi\) | |||||||
\(702\) | 4.26738e15 | − | 3.84194e15i | 0.944729 | − | 0.850543i | ||||
\(703\) | 5.78926e15 | 1.27165 | ||||||||
\(704\) | 7.41689e15 | − | 3.77600e15i | 1.61649 | − | 0.822966i | ||||
\(705\) | −2.60153e15 | −0.562587 | ||||||||
\(706\) | −1.75046e15 | + | 1.57594e15i | −0.375600 | + | 0.338154i | ||||
\(707\) | −2.23126e15 | + | 2.23126e15i | −0.475054 | + | 0.475054i | ||||
\(708\) | 1.30563e14 | − | 1.24091e15i | 0.0275828 | − | 0.262154i | ||||
\(709\) | −5.50134e14 | − | 5.50134e14i | −0.115323 | − | 0.115323i | 0.647091 | − | 0.762413i | \(-0.275986\pi\) |
−0.762413 | + | 0.647091i | \(0.775986\pi\) | |||||||
\(710\) | −3.59047e13 | + | 6.84378e14i | −0.00746844 | + | 0.142356i | ||||
\(711\) | − | 1.63637e13i | − | 0.00337754i | ||||||
\(712\) | −5.01275e15 | + | 3.64070e15i | −1.02668 | + | 0.745668i | ||||
\(713\) | − | 1.06299e15i | − | 0.216042i | ||||||
\(714\) | −1.54234e15 | − | 8.09162e13i | −0.311057 | − | 0.0163191i | ||||
\(715\) | −8.93020e15 | − | 8.93020e15i | −1.78722 | − | 1.78722i | ||||
\(716\) | 1.77856e15 | + | 2.19684e15i | 0.353222 | + | 0.436292i | ||||
\(717\) | 3.05080e15 | − | 3.05080e15i | 0.601255 | − | 0.601255i | ||||
\(718\) | −2.04788e15 | − | 2.27466e15i | −0.400517 | − | 0.444868i | ||||
\(719\) | −2.96713e15 | −0.575875 | −0.287937 | − | 0.957649i | \(-0.592969\pi\) | ||||
−0.287937 | + | 0.957649i | \(0.592969\pi\) | |||||||
\(720\) | −3.12649e15 | + | 2.02938e15i | −0.602182 | + | 0.390872i | ||||
\(721\) | 3.96241e15 | 0.757383 | ||||||||
\(722\) | −1.72964e14 | − | 1.92117e14i | −0.0328096 | − | 0.0364428i | ||||
\(723\) | 2.76750e15 | − | 2.76750e15i | 0.520988 | − | 0.520988i | ||||
\(724\) | 5.09158e15 | − | 4.12215e15i | 0.951241 | − | 0.770126i | ||||
\(725\) | −6.56301e14 | − | 6.56301e14i | −0.121687 | − | 0.121687i | ||||
\(726\) | −6.05868e15 | − | 3.17858e14i | −1.11488 | − | 0.0584899i | ||||
\(727\) | − | 8.35407e15i | − | 1.52566i | −0.646597 | − | 0.762832i | \(-0.723808\pi\) | ||
0.646597 | − | 0.762832i | \(-0.276192\pi\) | |||||||
\(728\) | −1.24356e15 | + | 7.84310e15i | −0.225395 | + | 1.42156i | ||||
\(729\) | 8.71516e14i | 0.156774i | ||||||||
\(730\) | 3.41079e14 | − | 6.50130e15i | 0.0608947 | − | 1.16071i | ||||
\(731\) | 6.99127e14 | + | 6.99127e14i | 0.123883 | + | 0.123883i | ||||
\(732\) | 7.30879e14 | + | 7.69001e13i | 0.128539 | + | 0.0135243i | ||||
\(733\) | −2.90697e15 | + | 2.90697e15i | −0.507421 | + | 0.507421i | −0.913734 | − | 0.406313i | \(-0.866814\pi\) |
0.406313 | + | 0.913734i | \(0.366814\pi\) | |||||||
\(734\) | −3.28932e15 | + | 2.96139e15i | −0.569872 | + | 0.513058i | ||||
\(735\) | 1.43776e14 | 0.0247233 | ||||||||
\(736\) | 1.89477e15 | + | 3.28394e15i | 0.323392 | + | 0.560489i | ||||
\(737\) | 1.33352e16 | 2.25907 | ||||||||
\(738\) | 4.01103e14 | − | 3.61114e14i | 0.0674443 | − | 0.0607204i | ||||
\(739\) | −5.27620e15 | + | 5.27620e15i | −0.880596 | + | 0.880596i | −0.993595 | − | 0.113000i | \(-0.963954\pi\) |
0.113000 | + | 0.993595i | \(0.463954\pi\) | |||||||
\(740\) | 7.01864e15 | + | 7.38473e14i | 1.16273 | + | 0.122338i | ||||
\(741\) | 3.17680e15 | + | 3.17680e15i | 0.522384 | + | 0.522384i | ||||
\(742\) | −2.02249e14 | + | 3.85506e15i | −0.0330114 | + | 0.629230i | ||||
\(743\) | 9.75338e15i | 1.58022i | 0.612967 | + | 0.790109i | \(0.289976\pi\) | ||||
−0.612967 | + | 0.790109i | \(0.710024\pi\) | |||||||
\(744\) | 9.99448e14 | + | 1.58467e14i | 0.160734 | + | 0.0254851i | ||||
\(745\) | − | 1.11543e15i | − | 0.178066i | ||||||
\(746\) | −1.54232e15 | − | 8.09148e13i | −0.244405 | − | 0.0128223i | ||||
\(747\) | −6.34179e15 | − | 6.34179e15i | −0.997582 | − | 0.997582i | ||||
\(748\) | −5.93127e15 | + | 4.80197e15i | −0.926167 | + | 0.749826i | ||||
\(749\) | 1.84210e15 | − | 1.84210e15i | 0.285538 | − | 0.285538i | ||||
\(750\) | −2.22202e15 | − | 2.46808e15i | −0.341909 | − | 0.379771i | ||||
\(751\) | 2.77812e14 | 0.0424357 | 0.0212179 | − | 0.999775i | \(-0.493246\pi\) | ||||
0.0212179 | + | 0.999775i | \(0.493246\pi\) | |||||||
\(752\) | 7.90580e15 | + | 1.68226e15i | 1.19880 | + | 0.255090i | ||||
\(753\) | −2.22359e15 | −0.334720 | ||||||||
\(754\) | 1.00658e16 | + | 1.11804e16i | 1.50420 | + | 1.67077i | ||||
\(755\) | −3.54630e15 | + | 3.54630e15i | −0.526099 | + | 0.526099i | ||||
\(756\) | −3.57020e15 | − | 4.40983e15i | −0.525803 | − | 0.649459i | ||||
\(757\) | −4.77158e15 | − | 4.77158e15i | −0.697646 | − | 0.697646i | 0.266256 | − | 0.963902i | \(-0.414213\pi\) |
−0.963902 | + | 0.266256i | \(0.914213\pi\) | |||||||
\(758\) | −2.65251e15 | − | 1.39159e14i | −0.385014 | − | 0.0201991i | ||||
\(759\) | − | 3.97050e15i | − | 0.572157i | ||||||
\(760\) | −3.96173e15 | − | 5.45476e15i | −0.566775 | − | 0.780370i | ||||
\(761\) | − | 1.30767e16i | − | 1.85730i | −0.370957 | − | 0.928650i | \(-0.620970\pi\) | ||
0.370957 | − | 0.928650i | \(-0.379030\pi\) | |||||||
\(762\) | −1.21407e14 | + | 2.31414e15i | −0.0171196 | + | 0.326316i | ||||
\(763\) | 8.28787e15 | + | 8.28787e15i | 1.16027 | + | 1.16027i | ||||
\(764\) | −3.34100e14 | + | 3.17537e15i | −0.0464369 | + | 0.441348i | ||||
\(765\) | 2.41672e15 | − | 2.41672e15i | 0.333495 | − | 0.333495i | ||||
\(766\) | 7.26504e15 | − | 6.54075e15i | 0.995360 | − | 0.896126i | ||||
\(767\) | 5.88261e15 | 0.800195 | ||||||||
\(768\) | −3.37010e15 | + | 1.29195e15i | −0.455151 | + | 0.174485i | ||||
\(769\) | −6.05417e15 | −0.811819 | −0.405910 | − | 0.913913i | \(-0.633045\pi\) | ||||
−0.405910 | + | 0.913913i | \(0.633045\pi\) | |||||||
\(770\) | −9.27438e15 | + | 8.34976e15i | −1.23477 | + | 1.11167i | ||||
\(771\) | −1.05662e15 | + | 1.05662e15i | −0.139676 | + | 0.139676i | ||||
\(772\) | −6.47480e14 | + | 6.15382e15i | −0.0849828 | + | 0.807699i | ||||
\(773\) | −1.19006e15 | − | 1.19006e15i | −0.155090 | − | 0.155090i | 0.625297 | − | 0.780387i | \(-0.284978\pi\) |
−0.780387 | + | 0.625297i | \(0.784978\pi\) | |||||||
\(774\) | −8.23203e13 | + | 1.56911e15i | −0.0106520 | + | 0.203038i | ||||
\(775\) | − | 2.94339e14i | − | 0.0378171i | ||||||
\(776\) | −2.46513e15 | − | 3.39414e15i | −0.314485 | − | 0.433003i | ||||
\(777\) | 4.64726e15i | 0.588683i | ||||||||
\(778\) | −6.59806e15 | − | 3.46155e14i | −0.829905 | − | 0.0435395i | ||||
\(779\) | 6.90253e14 | + | 6.90253e14i | 0.0862089 | + | 0.0862089i | ||||
\(780\) | 3.44618e15 | + | 4.25664e15i | 0.427383 | + | 0.527894i | ||||
\(781\) | −1.57674e15 | + | 1.57674e15i | −0.194169 | + | 0.194169i | ||||
\(782\) | −2.32605e15 | − | 2.58362e15i | −0.284434 | − | 0.315931i | ||||
\(783\) | −1.07489e16 | −1.30519 | ||||||||
\(784\) | −4.36922e14 | − | 9.29715e13i | −0.0526823 | − | 0.0112101i | ||||
\(785\) | −8.61420e15 | −1.03141 | ||||||||
\(786\) | 2.23293e14 | + | 2.48020e14i | 0.0265492 | + | 0.0294892i | ||||
\(787\) | 4.94174e15 | − | 4.94174e15i | 0.583470 | − | 0.583470i | −0.352385 | − | 0.935855i | \(-0.614629\pi\) |
0.935855 | + | 0.352385i | \(0.114629\pi\) | |||||||
\(788\) | −4.80791e15 | + | 3.89249e15i | −0.563718 | + | 0.456387i | ||||
\(789\) | 3.27290e15 | + | 3.27290e15i | 0.381074 | + | 0.381074i | ||||
\(790\) | 3.60304e13 | + | 1.89027e12i | 0.00416601 | + | 0.000218562i | ||||
\(791\) | − | 1.12526e16i | − | 1.29206i | ||||||
\(792\) | −1.19783e16 | − | 1.89920e15i | −1.36586 | − | 0.216562i | ||||
\(793\) | 3.46479e15i | 0.392350i | ||||||||
\(794\) | 4.71453e13 | − | 8.98636e14i | 0.00530183 | − | 0.101058i | ||||
\(795\) | 1.88260e15 | + | 1.88260e15i | 0.210252 | + | 0.210252i | ||||
\(796\) | 4.91525e15 | + | 5.17163e14i | 0.545160 | + | 0.0573595i | ||||
\(797\) | −5.72084e15 | + | 5.72084e15i | −0.630142 | + | 0.630142i | −0.948104 | − | 0.317961i | \(-0.897002\pi\) |
0.317961 | + | 0.948104i | \(0.397002\pi\) | |||||||
\(798\) | 3.29924e15 | − | 2.97032e15i | 0.360909 | − | 0.324928i | ||||
\(799\) | −7.41141e15 | −0.805181 | ||||||||
\(800\) | 5.24656e14 | + | 9.09311e14i | 0.0566083 | + | 0.0981110i | ||||
\(801\) | 9.02782e15 | 0.967396 | ||||||||
\(802\) | 1.23166e15 | − | 1.10887e15i | 0.131079 | − | 0.118011i | ||||
\(803\) | 1.49784e16 | − | 1.49784e16i | 1.58318 | − | 1.58318i | ||||
\(804\) | −5.75121e15 | − | 6.05119e14i | −0.603741 | − | 0.0635232i | ||||
\(805\) | −4.01978e15 | − | 4.01978e15i | −0.419107 | − | 0.419107i | ||||
\(806\) | −2.49948e14 | + | 4.76426e15i | −0.0258826 | + | 0.493347i | ||||
\(807\) | − | 5.10681e15i | − | 0.525225i | ||||||
\(808\) | 1.05884e15 | − | 6.67809e15i | 0.108160 | − | 0.682165i | ||||
\(809\) | − | 7.80980e14i | − | 0.0792361i | −0.999215 | − | 0.0396180i | \(-0.987386\pi\) | ||
0.999215 | − | 0.0396180i | \(-0.0126141\pi\) | |||||||
\(810\) | 3.20673e15 | + | 1.68235e14i | 0.323143 | + | 0.0169531i | ||||
\(811\) | 3.66369e15 | + | 3.66369e15i | 0.366695 | + | 0.366695i | 0.866270 | − | 0.499576i | \(-0.166511\pi\) |
−0.499576 | + | 0.866270i | \(0.666511\pi\) | |||||||
\(812\) | 1.15536e16 | − | 9.35382e15i | 1.14858 | − | 0.929889i | ||||
\(813\) | −3.18784e15 | + | 3.18784e15i | −0.314773 | + | 0.314773i | ||||
\(814\) | 1.53642e16 | + | 1.70656e16i | 1.50687 | + | 1.67374i | ||||
\(815\) | 2.06216e15 | 0.200888 | ||||||||
\(816\) | 2.77594e15 | − | 1.80184e15i | 0.268605 | − | 0.174350i | ||||
\(817\) | −2.84192e15 | −0.273143 | ||||||||
\(818\) | 5.65936e15 | + | 6.28605e15i | 0.540287 | + | 0.600116i | ||||
\(819\) | 8.18242e15 | − | 8.18242e15i | 0.775926 | − | 0.775926i | ||||
\(820\) | 7.48783e14 | + | 9.24879e14i | 0.0705310 | + | 0.0871182i | ||||
\(821\) | 8.26565e15 | + | 8.26565e15i | 0.773374 | + | 0.773374i | 0.978695 | − | 0.205321i | \(-0.0658237\pi\) |
−0.205321 | + | 0.978695i | \(0.565824\pi\) | |||||||
\(822\) | −8.11157e15 | − | 4.25559e14i | −0.753894 | − | 0.0395517i | ||||
\(823\) | 5.04163e15i | 0.465449i | 0.972543 | + | 0.232724i | \(0.0747640\pi\) | ||||
−0.972543 | + | 0.232724i | \(0.925236\pi\) | |||||||
\(824\) | −6.86986e15 | + | 4.98951e15i | −0.630011 | + | 0.457570i | ||||
\(825\) | − | 1.09942e15i | − | 0.100154i | ||||||
\(826\) | 3.04538e14 | − | 5.80480e15i | 0.0275582 | − | 0.525287i | ||||
\(827\) | 1.05064e16 | + | 1.05064e16i | 0.944440 | + | 0.944440i | 0.998536 | − | 0.0540957i | \(-0.0172276\pi\) |
−0.0540957 | + | 0.998536i | \(0.517228\pi\) | |||||||
\(828\) | 5.78101e14 | − | 5.49442e15i | 0.0516222 | − | 0.490631i | ||||
\(829\) | −1.11651e16 | + | 1.11651e16i | −0.990401 | + | 0.990401i | −0.999954 | − | 0.00955324i | \(-0.996959\pi\) |
0.00955324 | + | 0.999954i | \(0.496959\pi\) | |||||||
\(830\) | 1.46962e16 | − | 1.32311e16i | 1.29502 | − | 1.16591i | ||||
\(831\) | 8.56970e15 | 0.750170 | ||||||||
\(832\) | −7.72008e15 | − | 1.51639e16i | −0.671341 | − | 1.31866i | ||||
\(833\) | 4.09599e14 | 0.0353843 | ||||||||
\(834\) | 5.44830e15 | − | 4.90513e15i | 0.467571 | − | 0.420956i | ||||
\(835\) | 3.88973e15 | − | 3.88973e15i | 0.331622 | − | 0.331622i | ||||
\(836\) | 2.29530e15 | − | 2.18151e16i | 0.194404 | − | 1.84766i | ||||
\(837\) | −2.41034e15 | − | 2.41034e15i | −0.202809 | − | 0.202809i | ||||
\(838\) | 1.63717e14 | − | 3.12061e15i | 0.0136852 | − | 0.260854i | ||||
\(839\) | 1.14888e16i | 0.954080i | 0.878882 | + | 0.477040i | \(0.158290\pi\) | ||||
−0.878882 | + | 0.477040i | \(0.841710\pi\) | |||||||
\(840\) | 4.37874e15 | − | 3.18023e15i | 0.361254 | − | 0.262375i | ||||
\(841\) | − | 1.59613e16i | − | 1.30825i | ||||||
\(842\) | −7.05786e13 | − | 3.70278e12i | −0.00574720 | − | 0.000301516i | ||||
\(843\) | 7.07021e15 | + | 7.07021e15i | 0.571980 | + | 0.571980i | ||||
\(844\) | 9.54276e15 | + | 1.17870e16i | 0.766991 | + | 0.947369i | ||||
\(845\) | −9.91933e15 | + | 9.91933e15i | −0.792082 | + | 0.792082i | ||||
\(846\) | −7.88067e15 | − | 8.75335e15i | −0.625210 | − | 0.694444i | ||||
\(847\) | −2.82637e16 | −2.22777 | ||||||||
\(848\) | −4.50368e15 | − | 6.93841e15i | −0.352687 | − | 0.543354i | ||||
\(849\) | 2.97019e15 | 0.231096 | ||||||||
\(850\) | −6.44074e14 | − | 7.15396e14i | −0.0497888 | − | 0.0553022i | ||||
\(851\) | −7.39671e15 | + | 7.39671e15i | −0.568102 | + | 0.568102i | ||||
\(852\) | 7.51564e14 | − | 6.08467e14i | 0.0573520 | − | 0.0464322i | ||||
\(853\) | 4.44810e15 | + | 4.44810e15i | 0.337252 | + | 0.337252i | 0.855332 | − | 0.518080i | \(-0.173353\pi\) |
−0.518080 | + | 0.855332i | \(0.673353\pi\) | |||||||
\(854\) | 3.41896e15 | + | 1.79369e14i | 0.257558 | + | 0.0135123i | ||||
\(855\) | 9.82388e15i | 0.735308i | ||||||||
\(856\) | −8.74165e14 | + | 5.51335e15i | −0.0650111 | + | 0.410024i | ||||
\(857\) | 3.92912e15i | 0.290336i | 0.989407 | + | 0.145168i | \(0.0463722\pi\) | ||||
−0.989407 | + | 0.145168i | \(0.953628\pi\) | |||||||
\(858\) | −9.33610e14 | + | 1.77955e16i | −0.0685465 | + | 1.30656i | ||||
\(859\) | 4.10362e15 | + | 4.10362e15i | 0.299368 | + | 0.299368i | 0.840766 | − | 0.541399i | \(-0.182105\pi\) |
−0.541399 | + | 0.840766i | \(0.682105\pi\) | |||||||
\(860\) | −3.44542e15 | − | 3.62513e14i | −0.249747 | − | 0.0262774i | ||||
\(861\) | −5.54092e14 | + | 5.54092e14i | −0.0399084 | + | 0.0399084i | ||||
\(862\) | −6.43630e15 | + | 5.79463e15i | −0.460624 | + | 0.414702i | ||||
\(863\) | 1.39006e16 | 0.988493 | 0.494246 | − | 0.869322i | \(-0.335444\pi\) | ||||
0.494246 | + | 0.869322i | \(0.335444\pi\) | |||||||
\(864\) | 1.17428e16 | + | 3.14994e15i | 0.829745 | + | 0.222575i | ||||
\(865\) | −1.08706e16 | −0.763248 | ||||||||
\(866\) | −1.48519e16 | + | 1.33713e16i | −1.03618 | + | 0.932877i | ||||
\(867\) | 2.82612e15 | − | 2.82612e15i | 0.195923 | − | 0.195923i | ||||
\(868\) | 4.68830e15 | + | 4.93284e14i | 0.322966 | + | 0.0339812i | ||||
\(869\) | 8.30105e13 | + | 8.30105e13i | 0.00568230 | + | 0.00568230i | ||||
\(870\) | 5.37131e14 | − | 1.02383e16i | 0.0365363 | − | 0.696418i | ||||
\(871\) | − | 2.72640e16i | − | 1.84285i | ||||||
\(872\) | −2.48053e16 | − | 3.93299e15i | −1.66611 | − | 0.264169i | ||||
\(873\) | 6.11276e15i | 0.407999i | ||||||||
\(874\) | 9.97880e15 | + | 5.23520e14i | 0.661859 | + | 0.0347232i | ||||
\(875\) | −1.09396e16 | − | 1.09396e16i | −0.721039 | − | 0.721039i | ||||
\(876\) | −7.13954e15 | + | 5.78018e15i | −0.467625 | + | 0.378590i | ||||
\(877\) | −1.01754e16 | + | 1.01754e16i | −0.662296 | + | 0.662296i | −0.955921 | − | 0.293625i | \(-0.905138\pi\) |
0.293625 | + | 0.955921i | \(0.405138\pi\) | |||||||
\(878\) | −1.59494e16 | − | 1.77156e16i | −1.03163 | − | 1.14587i | ||||
\(879\) | −8.73504e15 | −0.561469 | ||||||||
\(880\) | 5.56543e15 | − | 2.61548e16i | 0.355503 | − | 1.67070i | ||||
\(881\) | −7.33273e15 | −0.465477 | −0.232738 | − | 0.972539i | \(-0.574769\pi\) | ||||
−0.232738 | + | 0.972539i | \(0.574769\pi\) | |||||||
\(882\) | 4.35533e14 | + | 4.83762e14i | 0.0274754 | + | 0.0305179i | ||||
\(883\) | −1.96400e16 | + | 1.96400e16i | −1.23128 | + | 1.23128i | −0.267813 | + | 0.963471i | \(0.586301\pi\) |
−0.963471 | + | 0.267813i | \(0.913699\pi\) | |||||||
\(884\) | 9.81769e15 | + | 1.21266e16i | 0.611676 | + | 0.755528i | ||||
\(885\) | −2.83475e15 | − | 2.83475e15i | −0.175520 | − | 0.175520i | ||||
\(886\) | 1.38769e16 | + | 7.28026e14i | 0.853900 | + | 0.0447983i | ||||
\(887\) | 3.76810e15i | 0.230432i | 0.993340 | + | 0.115216i | \(0.0367560\pi\) | ||||
−0.993340 | + | 0.115216i | \(0.963244\pi\) | |||||||
\(888\) | −5.85188e15 | − | 8.05722e15i | −0.355651 | − | 0.489682i | ||||
\(889\) | 1.07955e16i | 0.652052i | ||||||||
\(890\) | −1.04286e15 | + | 1.98779e16i | −0.0626007 | + | 1.19323i | ||||
\(891\) | 7.38800e15 | + | 7.38800e15i | 0.440757 | + | 0.440757i | ||||
\(892\) | −1.32939e15 | + | 1.26349e16i | −0.0788219 | + | 0.749144i | ||||
\(893\) | 1.50635e16 | − | 1.50635e16i | 0.887654 | − | 0.887654i | ||||
\(894\) | −1.16968e15 | + | 1.05307e15i | −0.0685032 | + | 0.0616737i | ||||
\(895\) | 9.08150e15 | 0.528605 | ||||||||
\(896\) | −1.53630e16 | + | 6.83293e15i | −0.888755 | + | 0.395288i | ||||
\(897\) | −8.11774e15 | −0.466742 | ||||||||
\(898\) | −8.53427e15 | + | 7.68344e15i | −0.487693 | + | 0.439072i | ||||
\(899\) | 6.31502e15 | − | 6.31502e15i | 0.358671 | − | 0.358671i | ||||
\(900\) | 1.60074e14 | − | 1.52139e15i | 0.00903623 | − | 0.0858827i | ||||
\(901\) | 5.36328e15 | + | 5.36328e15i | 0.300915 | + | 0.300915i | ||||
\(902\) | −2.02854e14 | + | 3.86660e15i | −0.0113122 | + | 0.215622i | ||||
\(903\) | − | 2.28132e15i | − | 0.126445i | ||||||
\(904\) | 1.41694e16 | + | 1.95093e16i | 0.780595 | + | 1.07477i | ||||
\(905\) | − | 2.10481e16i | − | 1.15251i | ||||||
\(906\) | 7.06684e15 | + | 3.70749e14i | 0.384610 | + | 0.0201778i | ||||
\(907\) | −1.08569e16 | − | 1.08569e16i | −0.587309 | − | 0.587309i | 0.349593 | − | 0.936902i | \(-0.386320\pi\) |
−0.936902 | + | 0.349593i | \(0.886320\pi\) | |||||||
\(908\) | −1.67904e16 | − | 2.07391e16i | −0.902793 | − | 1.11511i | ||||
\(909\) | −6.96700e15 | + | 6.96700e15i | −0.372344 | + | 0.372344i | ||||
\(910\) | 1.70712e16 | + | 1.89616e16i | 0.906852 | + | 1.00727i | ||||
\(911\) | −7.63729e14 | −0.0403263 | −0.0201631 | − | 0.999797i | \(-0.506419\pi\) | ||||
−0.0201631 | + | 0.999797i | \(0.506419\pi\) | |||||||
\(912\) | −1.97983e15 | + | 9.30424e15i | −0.103910 | + | 0.488326i | ||||
\(913\) | 6.43417e16 | 3.35663 | ||||||||
\(914\) | −3.96686e15 | − | 4.40614e15i | −0.205704 | − | 0.228483i | ||||
\(915\) | 1.66964e15 | − | 1.66964e15i | 0.0860608 | − | 0.0860608i | ||||
\(916\) | 5.00012e15 | − | 4.04810e15i | 0.256186 | − | 0.207408i | ||||
\(917\) | 1.09934e15 | + | 1.09934e15i | 0.0559886 | + | 0.0559886i | ||||
\(918\) | −1.11327e16 | − | 5.84057e14i | −0.563593 | − | 0.0295679i | ||||
\(919\) | − | 2.80095e16i | − | 1.40952i | −0.709447 | − | 0.704759i | \(-0.751055\pi\) | ||
0.709447 | − | 0.704759i | \(-0.248945\pi\) | |||||||
\(920\) | 1.20311e16 | + | 1.90758e15i | 0.601826 | + | 0.0954222i | ||||
\(921\) | − | 4.90748e15i | − | 0.244023i | ||||||
\(922\) | 1.62554e15 | − | 3.09844e16i | 0.0803486 | − | 1.53152i | ||||
\(923\) | 3.22367e15 | + | 3.22367e15i | 0.158395 | + | 0.158395i | ||||
\(924\) | 1.75118e16 | + | 1.84252e15i | 0.855332 | + | 0.0899946i | ||||
\(925\) | −2.04812e15 | + | 2.04812e15i | −0.0994436 | + | 0.0994436i | ||||
\(926\) | −1.50245e15 | + | 1.35266e15i | −0.0725168 | + | 0.0652872i | ||||
\(927\) | 1.23724e16 | 0.593631 | ||||||||
\(928\) | −8.25275e15 | + | 3.07657e16i | −0.393627 | + | 1.46741i | ||||
\(929\) | −8.81107e15 | −0.417775 | −0.208888 | − | 0.977940i | \(-0.566984\pi\) | ||||
−0.208888 | + | 0.977940i | \(0.566984\pi\) | |||||||
\(930\) | 2.41628e15 | − | 2.17539e15i | 0.113891 | − | 0.102537i | ||||
\(931\) | −8.32501e14 | + | 8.32501e14i | −0.0390087 | + | 0.0390087i | ||||
\(932\) | −6.29442e15 | − | 6.62273e14i | −0.293203 | − | 0.0308496i | ||||
\(933\) | 4.09150e15 | + | 4.09150e15i | 0.189467 | + | 0.189467i | ||||
\(934\) | 1.39142e15 | − | 2.65218e16i | 0.0640545 | − | 1.22094i | ||||
\(935\) | 2.45192e16i | 1.12213i | ||||||||
\(936\) | −3.88295e15 | + | 2.44897e16i | −0.176663 | + | 1.11421i | ||||
\(937\) | − | 1.20088e16i | − | 0.543165i | −0.962415 | − | 0.271583i | \(-0.912453\pi\) | ||
0.962415 | − | 0.271583i | \(-0.0875470\pi\) | |||||||
\(938\) | −2.69034e16 | − | 1.41144e15i | −1.20974 | − | 0.0634667i | ||||
\(939\) | −5.92516e15 | − | 5.92516e15i | −0.264874 | − | 0.264874i | ||||
\(940\) | 2.01838e16 | − | 1.63409e16i | 0.897017 | − | 0.726226i | ||||
\(941\) | 2.02398e16 | − | 2.02398e16i | 0.894257 | − | 0.894257i | −0.100664 | − | 0.994921i | \(-0.532097\pi\) |
0.994921 | + | 0.100664i | \(0.0320966\pi\) | |||||||
\(942\) | 8.13263e15 | + | 9.03320e15i | 0.357233 | + | 0.396791i | ||||
\(943\) | −1.76382e15 | −0.0770263 | ||||||||
\(944\) | 6.78146e15 | + | 1.04476e16i | 0.294427 | + | 0.453597i | ||||
\(945\) | −1.82297e16 | −0.786875 | ||||||||
\(946\) | −7.54222e15 | − | 8.37741e15i | −0.323667 | − | 0.359508i | ||||
\(947\) | 9.83196e15 | − | 9.83196e15i | 0.419484 | − | 0.419484i | −0.465542 | − | 0.885026i | \(-0.654141\pi\) |
0.885026 | + | 0.465542i | \(0.154141\pi\) | |||||||
\(948\) | −3.20339e13 | − | 3.95675e13i | −0.00135883 | − | 0.00167839i | ||||
\(949\) | −3.06235e16 | − | 3.06235e16i | −1.29149 | − | 1.29149i | ||||
\(950\) | 2.76310e15 | + | 1.44961e14i | 0.115855 | + | 0.00607814i | ||||
\(951\) | 3.63186e15i | 0.151404i | ||||||||
\(952\) | 1.24744e16 | − | 9.06003e15i | 0.517031 | − | 0.375514i | ||||
\(953\) | − | 1.24788e16i | − | 0.514236i | −0.966380 | − | 0.257118i | \(-0.917227\pi\) | ||
0.966380 | − | 0.257118i | \(-0.0827729\pi\) | |||||||
\(954\) | −6.31512e14 | + | 1.20372e16i | −0.0258741 | + | 0.493186i | ||||
\(955\) | 7.25389e15 | + | 7.25389e15i | 0.295497 | + | 0.295497i | ||||
\(956\) | −4.50664e15 | + | 4.28323e16i | −0.182530 | + | 1.73481i | ||||
\(957\) | 2.35879e16 | − | 2.35879e16i | 0.949892 | − | 0.949892i | ||||
\(958\) | −7.18455e15 | + | 6.46828e15i | −0.287667 | + | 0.258987i | ||||
\(959\) | −3.78404e16 | −1.50645 | ||||||||
\(960\) | −3.58709e15 | + | 1.10275e16i | −0.141988 | + | 0.436501i | ||||
\(961\) | −2.25763e16 | −0.888535 | ||||||||
\(962\) | 3.48908e16 | − | 3.14123e16i | 1.36536 | − | 1.22924i | ||||
\(963\) | 5.75187e15 | − | 5.75187e15i | 0.223802 | − | 0.223802i | ||||
\(964\) | −4.08815e15 | + | 3.88548e16i | −0.158162 | + | 1.50322i | ||||
\(965\) | 1.40579e16 | + | 1.40579e16i | 0.540780 | + | 0.540780i | ||||
\(966\) | −4.20249e14 | + | 8.01036e15i | −0.0160743 | + | 0.306392i | ||||
\(967\) | 2.34176e16i | 0.890630i | 0.895374 | + | 0.445315i | \(0.146908\pi\) | ||||
−0.895374 | + | 0.445315i | \(0.853092\pi\) | |||||||
\(968\) | 4.90024e16 | − | 3.55899e16i | 1.85312 | − | 1.34590i | ||||
\(969\) | − | 8.72240e15i | − | 0.327986i | ||||||
\(970\) | −1.34593e16 | − | 7.06120e14i | −0.503245 | − | 0.0264018i | ||||
\(971\) | −2.54807e16 | − | 2.54807e16i | −0.947341 | − | 0.947341i | 0.0513402 | − | 0.998681i | \(-0.483651\pi\) |
−0.998681 | + | 0.0513402i | \(0.983651\pi\) | |||||||
\(972\) | −1.74731e16 | − | 2.15824e16i | −0.645962 | − | 0.797876i | ||||
\(973\) | 2.41493e16 | − | 2.41493e16i | 0.887738 | − | 0.887738i | ||||
\(974\) | −1.84782e16 | − | 2.05244e16i | −0.675439 | − | 0.750234i | ||||
\(975\) | −2.24778e15 | −0.0817010 | ||||||||
\(976\) | −6.15350e15 | + | 3.99420e15i | −0.222407 | + | 0.144363i | ||||
\(977\) | 3.36150e15 | 0.120813 | 0.0604065 | − | 0.998174i | \(-0.480760\pi\) | ||||
0.0604065 | + | 0.998174i | \(0.480760\pi\) | |||||||
\(978\) | −1.94687e15 | − | 2.16246e15i | −0.0695783 | − | 0.0772832i | ||||
\(979\) | −4.57966e16 | + | 4.57966e16i | −1.62753 | + | 1.62753i | ||||
\(980\) | −1.11548e15 | + | 9.03093e14i | −0.0394201 | + | 0.0319146i | ||||
\(981\) | 2.58785e16 | + | 2.58785e16i | 0.909409 | + | 0.909409i | ||||
\(982\) | 1.24619e16 | + | 6.53789e14i | 0.435482 | + | 0.0228467i | ||||
\(983\) | − | 9.77577e14i | − | 0.0339709i | −0.999856 | − | 0.0169854i | \(-0.994593\pi\) | ||
0.999856 | − | 0.0169854i | \(-0.00540689\pi\) | |||||||
\(984\) | 2.62943e14 | − | 1.65838e15i | 0.00908634 | − | 0.0573074i | ||||
\(985\) | 1.98754e16i | 0.682993i | ||||||||
\(986\) | 1.53021e15 | − | 2.91674e16i | 0.0522912 | − | 0.996722i | ||||
\(987\) | 1.20921e16 | + | 1.20921e16i | 0.410919 | + | 0.410919i | ||||
\(988\) | −4.46013e16 | − | 4.69276e15i | −1.50725 | − | 0.158586i | ||||
\(989\) | 3.63101e15 | − | 3.63101e15i | 0.122025 | − | 0.122025i | ||||
\(990\) | −2.89588e16 | + | 2.60717e16i | −0.967803 | + | 0.871317i | ||||
\(991\) | 4.62468e16 | 1.53701 | 0.768504 | − | 0.639845i | \(-0.221001\pi\) | ||||
0.768504 | + | 0.639845i | \(0.221001\pi\) | |||||||
\(992\) | −8.74952e15 | + | 5.04831e15i | −0.289181 | + | 0.166852i | ||||
\(993\) | 2.52827e16 | 0.831004 | ||||||||
\(994\) | 3.34791e15 | − | 3.01414e15i | 0.109433 | − | 0.0985231i | ||||
\(995\) | 1.12285e16 | − | 1.12285e16i | 0.365002 | − | 0.365002i | ||||
\(996\) | −2.77493e16 | − | 2.91966e15i | −0.897067 | − | 0.0943858i | ||||
\(997\) | 2.23825e15 | + | 2.23825e15i | 0.0719590 | + | 0.0719590i | 0.742170 | − | 0.670211i | \(-0.233797\pi\) |
−0.670211 | + | 0.742170i | \(0.733797\pi\) | |||||||
\(998\) | −8.77401e14 | + | 1.67241e16i | −0.0280530 | + | 0.534719i | ||||
\(999\) | 3.35442e16i | 1.06661i |
(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 | 16.12.e.a.5.17 | ✓ | 42 | |
4.3 | odd | 2 | 64.12.e.a.49.13 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.97.9 | 42 | |||
8.5 | even | 2 | 128.12.e.b.97.13 | 42 | |||
16.3 | odd | 4 | 64.12.e.a.17.13 | 42 | |||
16.5 | even | 4 | 128.12.e.b.33.13 | 42 | |||
16.11 | odd | 4 | 128.12.e.a.33.9 | 42 | |||
16.13 | even | 4 | inner | 16.12.e.a.13.17 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.17 | ✓ | 42 | 1.1 | even | 1 | trivial | |
16.12.e.a.13.17 | yes | 42 | 16.13 | even | 4 | inner | |
64.12.e.a.17.13 | 42 | 16.3 | odd | 4 | |||
64.12.e.a.49.13 | 42 | 4.3 | odd | 2 | |||
128.12.e.a.33.9 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.97.9 | 42 | 8.3 | odd | 2 | |||
128.12.e.b.33.13 | 42 | 16.5 | even | 4 | |||
128.12.e.b.97.13 | 42 | 8.5 | even | 2 |