Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5,11,Mod(2,5)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("5.2");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 5.c (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: | \(3.17678626337\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 1334x^{6} + 456089x^{4} + 43159076x^{2} + 31360000 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{8}\cdot 3^{2}\cdot 5^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Root | \(17.5804i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5.2 |
Dual form | 5.11.c.a.3.1 |
$q$-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 \(\left(\mathbb{Z}/5\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −36.6454 | − | 36.6454i | −1.14517 | − | 1.14517i | −0.987490 | − | 0.157680i | \(-0.949599\pi\) |
−0.157680 | − | 0.987490i | \(-0.550401\pi\) | |||||||
\(3\) | −13.8338 | + | 13.8338i | −0.0569292 | + | 0.0569292i | −0.734998 | − | 0.678069i | \(-0.762817\pi\) |
0.678069 | + | 0.734998i | \(0.262817\pi\) | |||||||
\(4\) | 1661.78i | 1.62283i | ||||||||
\(5\) | −721.162 | + | 3040.65i | −0.230772 | + | 0.973008i | ||||
\(6\) | 1013.89 | 0.130387 | ||||||||
\(7\) | −13891.7 | − | 13891.7i | −0.826542 | − | 0.826542i | 0.160495 | − | 0.987037i | \(-0.448691\pi\) |
−0.987037 | + | 0.160495i | \(0.948691\pi\) | |||||||
\(8\) | 23371.7 | − | 23371.7i | 0.713246 | − | 0.713246i | ||||
\(9\) | 58666.3i | 0.993518i | ||||||||
\(10\) | 137853. | − | 84998.7i | 1.37853 | − | 0.849987i | ||||
\(11\) | −257449. | −1.59856 | −0.799278 | − | 0.600961i | \(-0.794785\pi\) | ||||
−0.799278 | + | 0.600961i | \(0.794785\pi\) | |||||||
\(12\) | −22988.7 | − | 22988.7i | −0.0923864 | − | 0.0923864i | ||||
\(13\) | 107046. | − | 107046.i | 0.288307 | − | 0.288307i | −0.548104 | − | 0.836410i | \(-0.684650\pi\) |
0.836410 | + | 0.548104i | \(0.184650\pi\) | |||||||
\(14\) | 1.01813e6i | 1.89306i | ||||||||
\(15\) | −32087.3 | − | 52040.1i | −0.0422549 | − | 0.0685302i | ||||
\(16\) | −11269.0 | −0.0107470 | ||||||||
\(17\) | −439362. | − | 439362.i | −0.309441 | − | 0.309441i | 0.535252 | − | 0.844693i | \(-0.320217\pi\) |
−0.844693 | + | 0.535252i | \(0.820217\pi\) | |||||||
\(18\) | 2.14985e6 | − | 2.14985e6i | 1.13775 | − | 1.13775i | ||||
\(19\) | − | 1.46167e6i | − | 0.590311i | −0.955449 | − | 0.295155i | \(-0.904629\pi\) | ||
0.955449 | − | 0.295155i | \(-0.0953714\pi\) | |||||||
\(20\) | −5.05288e6 | − | 1.19841e6i | −1.57903 | − | 0.374504i | ||||
\(21\) | 384349. | 0.0941087 | ||||||||
\(22\) | 9.43434e6 | + | 9.43434e6i | 1.83062 | + | 1.83062i | ||||
\(23\) | −3.17515e6 | + | 3.17515e6i | −0.493315 | + | 0.493315i | −0.909349 | − | 0.416034i | \(-0.863420\pi\) |
0.416034 | + | 0.909349i | \(0.363420\pi\) | |||||||
\(24\) | 646637.i | 0.0812091i | ||||||||
\(25\) | −8.72547e6 | − | 4.38560e6i | −0.893489 | − | 0.449086i | ||||
\(26\) | −7.84552e6 | −0.660321 | ||||||||
\(27\) | −1.62845e6 | − | 1.62845e6i | −0.113489 | − | 0.113489i | ||||
\(28\) | 2.30849e7 | − | 2.30849e7i | 1.34134 | − | 1.34134i | ||||
\(29\) | 1.87044e7i | 0.911916i | 0.890001 | + | 0.455958i | \(0.150703\pi\) | ||||
−0.890001 | + | 0.455958i | \(0.849297\pi\) | |||||||
\(30\) | −731180. | + | 3.08289e6i | −0.0300897 | + | 0.126868i | ||||
\(31\) | 1.47179e7 | 0.514088 | 0.257044 | − | 0.966400i | \(-0.417251\pi\) | ||||
0.257044 | + | 0.966400i | \(0.417251\pi\) | |||||||
\(32\) | −2.35196e7 | − | 2.35196e7i | −0.700939 | − | 0.700939i | ||||
\(33\) | 3.56150e6 | − | 3.56150e6i | 0.0910045 | − | 0.0910045i | ||||
\(34\) | 3.22012e7i | 0.708725i | ||||||||
\(35\) | 5.22579e7 | − | 3.22216e7i | 0.994974 | − | 0.613489i | ||||
\(36\) | −9.74903e7 | −1.61231 | ||||||||
\(37\) | 1.77025e7 | + | 1.77025e7i | 0.255286 | + | 0.255286i | 0.823134 | − | 0.567848i | \(-0.192224\pi\) |
−0.567848 | + | 0.823134i | \(0.692224\pi\) | |||||||
\(38\) | −5.35635e7 | + | 5.35635e7i | −0.676006 | + | 0.676006i | ||||
\(39\) | 2.96171e6i | 0.0328262i | ||||||||
\(40\) | 5.42103e7 | + | 8.79198e7i | 0.529397 | + | 0.858591i | ||||
\(41\) | 1.46701e8 | 1.26623 | 0.633115 | − | 0.774058i | \(-0.281776\pi\) | ||||
0.633115 | + | 0.774058i | \(0.281776\pi\) | |||||||
\(42\) | −1.40847e7 | − | 1.40847e7i | −0.107770 | − | 0.107770i | ||||
\(43\) | −8.02116e7 | + | 8.02116e7i | −0.545626 | + | 0.545626i | −0.925173 | − | 0.379547i | \(-0.876080\pi\) |
0.379547 | + | 0.925173i | \(0.376080\pi\) | |||||||
\(44\) | − | 4.27823e8i | − | 2.59418i | ||||||
\(45\) | −1.78384e8 | − | 4.23079e7i | −0.966701 | − | 0.229276i | ||||
\(46\) | 2.32709e8 | 1.12986 | ||||||||
\(47\) | −1.20806e8 | − | 1.20806e8i | −0.526744 | − | 0.526744i | 0.392856 | − | 0.919600i | \(-0.371487\pi\) |
−0.919600 | + | 0.392856i | \(0.871487\pi\) | |||||||
\(48\) | 155893. | − | 155893.i | 0.000611817 | − | 0.000611817i | ||||
\(49\) | 1.03483e8i | 0.366342i | ||||||||
\(50\) | 1.59037e8 | + | 4.80461e8i | 0.508917 | + | 1.53748i | ||||
\(51\) | 1.21561e7 | 0.0352324 | ||||||||
\(52\) | 1.77887e8 | + | 1.77887e8i | 0.467873 | + | 0.467873i | ||||
\(53\) | −4.48776e8 | + | 4.48776e8i | −1.07312 | + | 1.07312i | −0.0760175 | + | 0.997106i | \(0.524221\pi\) |
−0.997106 | + | 0.0760175i | \(0.975779\pi\) | |||||||
\(54\) | 1.19350e8i | 0.259929i | ||||||||
\(55\) | 1.85663e8 | − | 7.82812e8i | 0.368902 | − | 1.55541i | ||||
\(56\) | −6.49343e8 | −1.17906 | ||||||||
\(57\) | 2.02204e7 | + | 2.02204e7i | 0.0336059 | + | 0.0336059i | ||||
\(58\) | 6.85433e8 | − | 6.85433e8i | 1.04430 | − | 1.04430i | ||||
\(59\) | 2.00133e8i | 0.279935i | 0.990156 | + | 0.139968i | \(0.0446999\pi\) | ||||
−0.990156 | + | 0.139968i | \(0.955300\pi\) | |||||||
\(60\) | 8.64791e7 | − | 5.33220e7i | 0.111213 | − | 0.0685725i | ||||
\(61\) | −4.13408e7 | −0.0489474 | −0.0244737 | − | 0.999700i | \(-0.507791\pi\) | ||||
−0.0244737 | + | 0.999700i | \(0.507791\pi\) | |||||||
\(62\) | −5.39344e8 | − | 5.39344e8i | −0.588719 | − | 0.588719i | ||||
\(63\) | 8.14973e8 | − | 8.14973e8i | 0.821184 | − | 0.821184i | ||||
\(64\) | 1.73531e9i | 1.61614i | ||||||||
\(65\) | 2.48293e8 | + | 4.02688e8i | 0.213992 | + | 0.347058i | ||||
\(66\) | −2.61025e8 | −0.208431 | ||||||||
\(67\) | 1.80409e8 | + | 1.80409e8i | 0.133624 | + | 0.133624i | 0.770755 | − | 0.637131i | \(-0.219879\pi\) |
−0.637131 | + | 0.770755i | \(0.719879\pi\) | |||||||
\(68\) | 7.30121e8 | − | 7.30121e8i | 0.502170 | − | 0.502170i | ||||
\(69\) | − | 8.78486e7i | − | 0.0561681i | ||||||
\(70\) | −3.09579e9 | − | 7.34240e8i | −1.84196 | − | 0.436866i | ||||
\(71\) | −3.07760e8 | −0.170577 | −0.0852884 | − | 0.996356i | \(-0.527181\pi\) | ||||
−0.0852884 | + | 0.996356i | \(0.527181\pi\) | |||||||
\(72\) | 1.37113e9 | + | 1.37113e9i | 0.708623 | + | 0.708623i | ||||
\(73\) | −1.88053e9 | + | 1.88053e9i | −0.907124 | + | 0.907124i | −0.996039 | − | 0.0889156i | \(-0.971660\pi\) |
0.0889156 | + | 0.996039i | \(0.471660\pi\) | |||||||
\(74\) | − | 1.29743e9i | − | 0.584691i | ||||||
\(75\) | 1.81376e8 | − | 6.00369e7i | 0.0764317 | − | 0.0252995i | ||||
\(76\) | 2.42897e9 | 0.957974 | ||||||||
\(77\) | 3.57640e9 | + | 3.57640e9i | 1.32127 | + | 1.32127i | ||||
\(78\) | 1.08533e8 | − | 1.08533e8i | 0.0375915 | − | 0.0375915i | ||||
\(79\) | − | 3.83202e9i | − | 1.24535i | −0.782480 | − | 0.622676i | \(-0.786046\pi\) | ||
0.782480 | − | 0.622676i | \(-0.213954\pi\) | |||||||
\(80\) | 8.12679e6 | − | 3.42651e7i | 0.00248010 | − | 0.0104569i | ||||
\(81\) | −3.41913e9 | −0.980596 | ||||||||
\(82\) | −5.37591e9 | − | 5.37591e9i | −1.45005 | − | 1.45005i | ||||
\(83\) | 2.47618e9 | − | 2.47618e9i | 0.628626 | − | 0.628626i | −0.319096 | − | 0.947722i | \(-0.603379\pi\) |
0.947722 | + | 0.319096i | \(0.103379\pi\) | |||||||
\(84\) | 6.38703e8i | 0.152722i | ||||||||
\(85\) | 1.65280e9 | − | 1.01909e9i | 0.372499 | − | 0.229678i | ||||
\(86\) | 5.87878e9 | 1.24967 | ||||||||
\(87\) | −2.58753e8 | − | 2.58753e8i | −0.0519146 | − | 0.0519146i | ||||
\(88\) | −6.01701e9 | + | 6.01701e9i | −1.14016 | + | 1.14016i | ||||
\(89\) | 3.22870e9i | 0.578200i | 0.957299 | + | 0.289100i | \(0.0933560\pi\) | ||||
−0.957299 | + | 0.289100i | \(0.906644\pi\) | |||||||
\(90\) | 4.98655e9 | + | 8.08734e9i | 0.844477 | + | 1.36960i | ||||
\(91\) | −2.97411e9 | −0.476595 | ||||||||
\(92\) | −5.27639e9 | − | 5.27639e9i | −0.800567 | − | 0.800567i | ||||
\(93\) | −2.03605e8 | + | 2.03605e8i | −0.0292666 | + | 0.0292666i | ||||
\(94\) | 8.85400e9i | 1.20642i | ||||||||
\(95\) | 4.44442e9 | + | 1.05410e9i | 0.574377 | + | 0.136227i | ||||
\(96\) | 6.50731e8 | 0.0798078 | ||||||||
\(97\) | −2.24159e8 | − | 2.24159e8i | −0.0261034 | − | 0.0261034i | 0.693935 | − | 0.720038i | \(-0.255876\pi\) |
−0.720038 | + | 0.693935i | \(0.755876\pi\) | |||||||
\(98\) | 3.79216e9 | − | 3.79216e9i | 0.419524 | − | 0.419524i | ||||
\(99\) | − | 1.51036e10i | − | 1.58819i | ||||||
\(100\) | 7.28790e9 | − | 1.44998e10i | 0.728790 | − | 1.44998i | ||||
\(101\) | −1.73001e10 | −1.64605 | −0.823024 | − | 0.568006i | \(-0.807715\pi\) | ||||
−0.823024 | + | 0.568006i | \(0.807715\pi\) | |||||||
\(102\) | −4.45465e8 | − | 4.45465e8i | −0.0403471 | − | 0.0403471i | ||||
\(103\) | −9.54553e9 | + | 9.54553e9i | −0.823406 | + | 0.823406i | −0.986595 | − | 0.163189i | \(-0.947822\pi\) |
0.163189 | + | 0.986595i | \(0.447822\pi\) | |||||||
\(104\) | − | 5.00370e9i | − | 0.411268i | ||||||
\(105\) | −2.77178e8 | + | 1.16867e9i | −0.0217176 | + | 0.0915685i | ||||
\(106\) | 3.28912e10 | 2.45782 | ||||||||
\(107\) | 1.14387e10 | + | 1.14387e10i | 0.815565 | + | 0.815565i | 0.985462 | − | 0.169897i | \(-0.0543435\pi\) |
−0.169897 | + | 0.985462i | \(0.554343\pi\) | |||||||
\(108\) | 2.70612e9 | − | 2.70612e9i | 0.184174 | − | 0.184174i | ||||
\(109\) | 2.35000e9i | 0.152734i | 0.997080 | + | 0.0763670i | \(0.0243321\pi\) | ||||
−0.997080 | + | 0.0763670i | \(0.975668\pi\) | |||||||
\(110\) | −3.54902e10 | + | 2.18828e10i | −2.20366 | + | 1.35875i | ||||
\(111\) | −4.89786e8 | −0.0290664 | ||||||||
\(112\) | 1.56546e8 | + | 1.56546e8i | 0.00888282 | + | 0.00888282i | ||||
\(113\) | 8.11951e9 | − | 8.11951e9i | 0.440694 | − | 0.440694i | −0.451551 | − | 0.892245i | \(-0.649129\pi\) |
0.892245 | + | 0.451551i | \(0.149129\pi\) | |||||||
\(114\) | − | 1.48197e9i | − | 0.0769690i | ||||||
\(115\) | −7.36471e9 | − | 1.19443e10i | −0.366156 | − | 0.593843i | ||||
\(116\) | −3.10826e10 | −1.47988 | ||||||||
\(117\) | 6.28001e9 | + | 6.28001e9i | 0.286438 | + | 0.286438i | ||||
\(118\) | 7.33395e9 | − | 7.33395e9i | 0.320574 | − | 0.320574i | ||||
\(119\) | 1.22069e10i | 0.511531i | ||||||||
\(120\) | −1.96620e9 | − | 4.66331e8i | −0.0790171 | − | 0.0187408i | ||||
\(121\) | 4.03426e10 | 1.55538 | ||||||||
\(122\) | 1.51495e9 | + | 1.51495e9i | 0.0560531 | + | 0.0560531i | ||||
\(123\) | −2.02943e9 | + | 2.02943e9i | −0.0720855 | + | 0.0720855i | ||||
\(124\) | 2.44579e10i | 0.834278i | ||||||||
\(125\) | 1.96276e10 | − | 2.33684e10i | 0.643156 | − | 0.765735i | ||||
\(126\) | −5.97301e10 | −1.88079 | ||||||||
\(127\) | 3.27321e9 | + | 3.27321e9i | 0.0990731 | + | 0.0990731i | 0.754906 | − | 0.655833i | \(-0.227682\pi\) |
−0.655833 | + | 0.754906i | \(0.727682\pi\) | |||||||
\(128\) | 3.95072e10 | − | 3.95072e10i | 1.14981 | − | 1.14981i | ||||
\(129\) | − | 2.21926e9i | − | 0.0621241i | ||||||
\(130\) | 5.65790e9 | − | 2.38555e10i | 0.152384 | − | 0.642498i | ||||
\(131\) | 7.92542e8 | 0.0205431 | 0.0102716 | − | 0.999947i | \(-0.496730\pi\) | ||||
0.0102716 | + | 0.999947i | \(0.496730\pi\) | |||||||
\(132\) | 5.91842e9 | + | 5.91842e9i | 0.147685 | + | 0.147685i | ||||
\(133\) | −2.03050e10 | + | 2.03050e10i | −0.487916 | + | 0.487916i | ||||
\(134\) | − | 1.32223e10i | − | 0.306044i | ||||||
\(135\) | 6.12592e9 | − | 3.77717e9i | 0.136616 | − | 0.0842359i | ||||
\(136\) | −2.05372e10 | −0.441415 | ||||||||
\(137\) | −5.07413e10 | − | 5.07413e10i | −1.05138 | − | 1.05138i | −0.998607 | − | 0.0527700i | \(-0.983195\pi\) |
−0.0527700 | − | 0.998607i | \(-0.516805\pi\) | |||||||
\(138\) | −3.21925e9 | + | 3.21925e9i | −0.0643220 | + | 0.0643220i | ||||
\(139\) | 8.23117e10i | 1.58631i | 0.609020 | + | 0.793155i | \(0.291563\pi\) | ||||
−0.609020 | + | 0.793155i | \(0.708437\pi\) | |||||||
\(140\) | 5.35451e10 | + | 8.68410e10i | 0.995588 | + | 1.61467i | ||||
\(141\) | 3.34242e9 | 0.0599743 | ||||||||
\(142\) | 1.12780e10 | + | 1.12780e10i | 0.195340 | + | 0.195340i | ||||
\(143\) | −2.75590e10 | + | 2.75590e10i | −0.460875 | + | 0.460875i | ||||
\(144\) | − | 6.61111e8i | − | 0.0106773i | ||||||
\(145\) | −5.68736e10 | − | 1.34889e10i | −0.887301 | − | 0.210445i | ||||
\(146\) | 1.37826e11 | 2.07762 | ||||||||
\(147\) | −1.43156e9 | − | 1.43156e9i | −0.0208556 | − | 0.0208556i | ||||
\(148\) | −2.94176e10 | + | 2.94176e10i | −0.414285 | + | 0.414285i | ||||
\(149\) | − | 1.12260e11i | − | 1.52860i | −0.644863 | − | 0.764298i | \(-0.723086\pi\) | ||
0.644863 | − | 0.764298i | \(-0.276914\pi\) | |||||||
\(150\) | −8.84668e9 | − | 4.44653e9i | −0.116500 | − | 0.0585551i | ||||
\(151\) | −3.06257e10 | −0.390122 | −0.195061 | − | 0.980791i | \(-0.562491\pi\) | ||||
−0.195061 | + | 0.980791i | \(0.562491\pi\) | |||||||
\(152\) | −3.41616e10 | − | 3.41616e10i | −0.421037 | − | 0.421037i | ||||
\(153\) | 2.57757e10 | − | 2.57757e10i | 0.307435 | − | 0.307435i | ||||
\(154\) | − | 2.62118e11i | − | 3.02617i | ||||||
\(155\) | −1.06140e10 | + | 4.47520e10i | −0.118637 | + | 0.500212i | ||||
\(156\) | −4.92171e9 | −0.0532713 | ||||||||
\(157\) | 5.91731e10 | + | 5.91731e10i | 0.620334 | + | 0.620334i | 0.945617 | − | 0.325283i | \(-0.105459\pi\) |
−0.325283 | + | 0.945617i | \(0.605459\pi\) | |||||||
\(158\) | −1.40426e11 | + | 1.40426e11i | −1.42614 | + | 1.42614i | ||||
\(159\) | − | 1.24165e10i | − | 0.122184i | ||||||
\(160\) | 8.84764e10 | − | 5.45534e10i | 0.843776 | − | 0.520262i | ||||
\(161\) | 8.82163e10 | 0.815491 | ||||||||
\(162\) | 1.25295e11 | + | 1.25295e11i | 1.12295 | + | 1.12295i | ||||
\(163\) | 1.96892e10 | − | 1.96892e10i | 0.171116 | − | 0.171116i | −0.616354 | − | 0.787470i | \(-0.711391\pi\) |
0.787470 | + | 0.616354i | \(0.211391\pi\) | |||||||
\(164\) | 2.43784e11i | 2.05488i | ||||||||
\(165\) | 8.26085e9 | + | 1.33977e10i | 0.0675468 | + | 0.109549i | ||||
\(166\) | −1.81482e11 | −1.43977 | ||||||||
\(167\) | −1.40562e11 | − | 1.40562e11i | −1.08215 | − | 1.08215i | −0.996309 | − | 0.0858387i | \(-0.972643\pi\) |
−0.0858387 | − | 0.996309i | \(-0.527357\pi\) | |||||||
\(168\) | 8.98288e9 | − | 8.98288e9i | 0.0671227 | − | 0.0671227i | ||||
\(169\) | 1.14941e11i | 0.833758i | ||||||||
\(170\) | −9.79126e10 | − | 2.32223e10i | −0.689595 | − | 0.163554i | ||||
\(171\) | 8.57506e10 | 0.586485 | ||||||||
\(172\) | −1.33294e11 | − | 1.33294e11i | −0.885458 | − | 0.885458i | ||||
\(173\) | 1.36495e11 | − | 1.36495e11i | 0.880815 | − | 0.880815i | −0.112802 | − | 0.993617i | \(-0.535983\pi\) |
0.993617 | + | 0.112802i | \(0.0359827\pi\) | |||||||
\(174\) | 1.89643e10i | 0.118902i | ||||||||
\(175\) | 6.02881e10 | + | 1.82135e11i | 0.367317 | + | 1.10969i | ||||
\(176\) | 2.90120e9 | 0.0171796 | ||||||||
\(177\) | −2.76859e9 | − | 2.76859e9i | −0.0159365 | − | 0.0159365i | ||||
\(178\) | 1.18317e11 | − | 1.18317e11i | 0.662137 | − | 0.662137i | ||||
\(179\) | 4.46176e10i | 0.242796i | 0.992604 | + | 0.121398i | \(0.0387377\pi\) | ||||
−0.992604 | + | 0.121398i | \(0.961262\pi\) | |||||||
\(180\) | 7.03063e10 | − | 2.96434e11i | 0.372076 | − | 1.56879i | ||||
\(181\) | −2.28500e11 | −1.17623 | −0.588117 | − | 0.808776i | \(-0.700130\pi\) | ||||
−0.588117 | + | 0.808776i | \(0.700130\pi\) | |||||||
\(182\) | 1.08988e11 | + | 1.08988e11i | 0.545783 | + | 0.545783i | ||||
\(183\) | 5.71900e8 | − | 5.71900e8i | 0.00278654 | − | 0.00278654i | ||||
\(184\) | 1.48417e11i | 0.703711i | ||||||||
\(185\) | −6.65935e10 | + | 4.10608e10i | −0.307308 | + | 0.189482i | ||||
\(186\) | 1.49224e10 | 0.0670306 | ||||||||
\(187\) | 1.13113e11 | + | 1.13113e11i | 0.494658 | + | 0.494658i | ||||
\(188\) | 2.00753e11 | − | 2.00753e11i | 0.854817 | − | 0.854817i | ||||
\(189\) | 4.52438e10i | 0.187607i | ||||||||
\(190\) | −1.24240e11 | − | 2.01496e11i | −0.501756 | − | 0.813763i | ||||
\(191\) | 2.98408e10 | 0.117393 | 0.0586967 | − | 0.998276i | \(-0.481306\pi\) | ||||
0.0586967 | + | 0.998276i | \(0.481306\pi\) | |||||||
\(192\) | −2.40060e10 | − | 2.40060e10i | −0.0920053 | − | 0.0920053i | ||||
\(193\) | −9.95871e8 | + | 9.95871e8i | −0.00371892 | + | 0.00371892i | −0.708964 | − | 0.705245i | \(-0.750837\pi\) |
0.705245 | + | 0.708964i | \(0.250837\pi\) | |||||||
\(194\) | 1.64288e10i | 0.0597857i | ||||||||
\(195\) | −9.00554e9 | − | 2.13588e9i | −0.0319401 | − | 0.00757536i | ||||
\(196\) | −1.71965e11 | −0.594511 | ||||||||
\(197\) | 1.29244e9 | + | 1.29244e9i | 0.00435590 | + | 0.00435590i | 0.709281 | − | 0.704925i | \(-0.249020\pi\) |
−0.704925 | + | 0.709281i | \(0.749020\pi\) | |||||||
\(198\) | −5.53477e11 | + | 5.53477e11i | −1.81875 | + | 1.81875i | ||||
\(199\) | − | 5.28508e11i | − | 1.69350i | −0.531987 | − | 0.846752i | \(-0.678555\pi\) | ||
0.531987 | − | 0.846752i | \(-0.321445\pi\) | |||||||
\(200\) | −3.06428e11 | + | 1.01430e11i | −0.957586 | + | 0.316969i | ||||
\(201\) | −4.99148e9 | −0.0152142 | ||||||||
\(202\) | 6.33971e11 | + | 6.33971e11i | 1.88501 | + | 1.88501i | ||||
\(203\) | 2.59836e11 | − | 2.59836e11i | 0.753736 | − | 0.753736i | ||||
\(204\) | 2.02007e10i | 0.0571762i | ||||||||
\(205\) | −1.05795e11 | + | 4.46065e11i | −0.292210 | + | 1.23205i | ||||
\(206\) | 6.99600e11 | 1.88588 | ||||||||
\(207\) | −1.86274e11 | − | 1.86274e11i | −0.490118 | − | 0.490118i | ||||
\(208\) | −1.20631e9 | + | 1.20631e9i | −0.00309843 | + | 0.00309843i | ||||
\(209\) | 3.76305e11i | 0.943645i | ||||||||
\(210\) | 5.29838e10 | − | 3.26692e10i | 0.129732 | − | 0.0799911i | ||||
\(211\) | 1.09556e11 | 0.261953 | 0.130977 | − | 0.991385i | \(-0.458189\pi\) | ||||
0.130977 | + | 0.991385i | \(0.458189\pi\) | |||||||
\(212\) | −7.45765e11 | − | 7.45765e11i | −1.74150 | − | 1.74150i | ||||
\(213\) | 4.25748e9 | − | 4.25748e9i | 0.00971080 | − | 0.00971080i | ||||
\(214\) | − | 8.38354e11i | − | 1.86792i | ||||||
\(215\) | −1.86050e11 | − | 3.01741e11i | −0.404983 | − | 0.656813i | ||||
\(216\) | −7.61191e10 | −0.161892 | ||||||||
\(217\) | −2.04457e11 | − | 2.04457e11i | −0.424915 | − | 0.424915i | ||||
\(218\) | 8.61169e10 | − | 8.61169e10i | 0.174906 | − | 0.174906i | ||||
\(219\) | − | 5.20298e10i | − | 0.103284i | ||||||
\(220\) | 1.30086e12 | + | 3.08530e11i | 2.52416 | + | 0.598665i | ||||
\(221\) | −9.40641e10 | −0.178428 | ||||||||
\(222\) | 1.79484e10 | + | 1.79484e10i | 0.0332860 | + | 0.0332860i | ||||
\(223\) | −4.58052e11 | + | 4.58052e11i | −0.830597 | + | 0.830597i | −0.987598 | − | 0.157001i | \(-0.949817\pi\) |
0.157001 | + | 0.987598i | \(0.449817\pi\) | |||||||
\(224\) | 6.53454e11i | 1.15871i | ||||||||
\(225\) | 2.57287e11 | − | 5.11891e11i | 0.446175 | − | 0.887697i | ||||
\(226\) | −5.95086e11 | −1.00934 | ||||||||
\(227\) | 1.19760e11 | + | 1.19760e11i | 0.198693 | + | 0.198693i | 0.799440 | − | 0.600746i | \(-0.205130\pi\) |
−0.600746 | + | 0.799440i | \(0.705130\pi\) | |||||||
\(228\) | −3.36018e10 | + | 3.36018e10i | −0.0545367 | + | 0.0545367i | ||||
\(229\) | 5.26010e11i | 0.835251i | 0.908619 | + | 0.417625i | \(0.137138\pi\) | ||||
−0.908619 | + | 0.417625i | \(0.862862\pi\) | |||||||
\(230\) | −1.67821e11 | + | 7.07588e11i | −0.260740 | + | 1.09936i | ||||
\(231\) | −9.89504e10 | −0.150438 | ||||||||
\(232\) | 4.37154e11 | + | 4.37154e11i | 0.650420 | + | 0.650420i | ||||
\(233\) | −5.71170e11 | + | 5.71170e11i | −0.831736 | + | 0.831736i | −0.987754 | − | 0.156018i | \(-0.950134\pi\) |
0.156018 | + | 0.987754i | \(0.450134\pi\) | |||||||
\(234\) | − | 4.60267e11i | − | 0.656041i | ||||||
\(235\) | 4.54450e11 | − | 2.80208e11i | 0.634084 | − | 0.390969i | ||||
\(236\) | −3.32576e11 | −0.454287 | ||||||||
\(237\) | 5.30113e10 | + | 5.30113e10i | 0.0708968 | + | 0.0708968i | ||||
\(238\) | 4.47329e11 | − | 4.47329e11i | 0.585790 | − | 0.585790i | ||||
\(239\) | − | 6.29535e10i | − | 0.0807291i | −0.999185 | − | 0.0403645i | \(-0.987148\pi\) | ||
0.999185 | − | 0.0403645i | \(-0.0128519\pi\) | |||||||
\(240\) | 3.61593e8 | + | 5.86441e8i | 0.000454112 | + | 0.000736493i | ||||
\(241\) | 6.81163e11 | 0.837849 | 0.418925 | − | 0.908021i | \(-0.362407\pi\) | ||||
0.418925 | + | 0.908021i | \(0.362407\pi\) | |||||||
\(242\) | −1.47837e12 | − | 1.47837e12i | −1.78118 | − | 1.78118i | ||||
\(243\) | 1.43458e11 | − | 1.43458e11i | 0.169314 | − | 0.169314i | ||||
\(244\) | − | 6.86992e10i | − | 0.0794333i | ||||||
\(245\) | −3.14654e11 | − | 7.46277e10i | −0.356454 | − | 0.0845415i | ||||
\(246\) | 1.48738e11 | 0.165100 | ||||||||
\(247\) | −1.56466e11 | − | 1.56466e11i | −0.170191 | − | 0.170191i | ||||
\(248\) | 3.43982e11 | − | 3.43982e11i | 0.366672 | − | 0.366672i | ||||
\(249\) | 6.85100e10i | 0.0715744i | ||||||||
\(250\) | −1.57561e12 | + | 1.37084e11i | −1.61342 | + | 0.140374i | ||||
\(251\) | 1.52582e12 | 1.53156 | 0.765780 | − | 0.643102i | \(-0.222353\pi\) | ||||
0.765780 | + | 0.643102i | \(0.222353\pi\) | |||||||
\(252\) | 1.35430e12 | + | 1.35430e12i | 1.33264 | + | 1.33264i | ||||
\(253\) | 8.17438e11 | − | 8.17438e11i | 0.788592 | − | 0.788592i | ||||
\(254\) | − | 2.39897e11i | − | 0.226911i | ||||||
\(255\) | −8.76651e9 | + | 3.69624e10i | −0.00813066 | + | 0.0342814i | ||||
\(256\) | −1.11856e12 | −1.01733 | ||||||||
\(257\) | 1.42466e12 | + | 1.42466e12i | 1.27071 | + | 1.27071i | 0.945715 | + | 0.324997i | \(0.105363\pi\) |
0.324997 | + | 0.945715i | \(0.394637\pi\) | |||||||
\(258\) | −8.13258e10 | + | 8.13258e10i | −0.0711426 | + | 0.0711426i | ||||
\(259\) | − | 4.91836e11i | − | 0.422008i | ||||||
\(260\) | −6.69178e11 | + | 4.12607e11i | −0.563216 | + | 0.347272i | ||||
\(261\) | −1.09732e12 | −0.906005 | ||||||||
\(262\) | −2.90431e10 | − | 2.90431e10i | −0.0235253 | − | 0.0235253i | ||||
\(263\) | −9.05820e11 | + | 9.05820e11i | −0.719885 | + | 0.719885i | −0.968581 | − | 0.248697i | \(-0.919998\pi\) |
0.248697 | + | 0.968581i | \(0.419998\pi\) | |||||||
\(264\) | − | 1.66476e11i | − | 0.129817i | ||||||
\(265\) | −1.04093e12 | − | 1.68821e12i | −0.796511 | − | 1.29181i | ||||
\(266\) | 1.48817e12 | 1.11749 | ||||||||
\(267\) | −4.46652e10 | − | 4.46652e10i | −0.0329164 | − | 0.0329164i | ||||
\(268\) | −2.99800e11 | + | 2.99800e11i | −0.216849 | + | 0.216849i | ||||
\(269\) | − | 6.44179e11i | − | 0.457347i | −0.973503 | − | 0.228673i | \(-0.926561\pi\) | ||
0.973503 | − | 0.228673i | \(-0.0734387\pi\) | |||||||
\(270\) | −3.62903e11 | − | 8.60711e10i | −0.252913 | − | 0.0599844i | ||||
\(271\) | −1.73862e12 | −1.18948 | −0.594741 | − | 0.803917i | \(-0.702746\pi\) | ||||
−0.594741 | + | 0.803917i | \(0.702746\pi\) | |||||||
\(272\) | 4.95117e9 | + | 4.95117e9i | 0.00332555 | + | 0.00332555i | ||||
\(273\) | 4.11432e10 | − | 4.11432e10i | 0.0271322 | − | 0.0271322i | ||||
\(274\) | 3.71887e12i | 2.40801i | ||||||||
\(275\) | 2.24637e12 | + | 1.12907e12i | 1.42829 | + | 0.717889i | ||||
\(276\) | 1.45985e11 | 0.0911512 | ||||||||
\(277\) | 4.18449e11 | + | 4.18449e11i | 0.256592 | + | 0.256592i | 0.823667 | − | 0.567074i | \(-0.191925\pi\) |
−0.567074 | + | 0.823667i | \(0.691925\pi\) | |||||||
\(278\) | 3.01635e12 | − | 3.01635e12i | 1.81659 | − | 1.81659i | ||||
\(279\) | 8.63445e11i | 0.510756i | ||||||||
\(280\) | 4.68282e11 | − | 1.97443e12i | 0.272093 | − | 1.14723i | ||||
\(281\) | −2.35344e12 | −1.34329 | −0.671647 | − | 0.740871i | \(-0.734413\pi\) | ||||
−0.671647 | + | 0.740871i | \(0.734413\pi\) | |||||||
\(282\) | −1.22484e11 | − | 1.22484e11i | −0.0686808 | − | 0.0686808i | ||||
\(283\) | −1.86874e12 | + | 1.86874e12i | −1.02948 | + | 1.02948i | −0.0299242 | + | 0.999552i | \(0.509527\pi\) |
−0.999552 | + | 0.0299242i | \(0.990473\pi\) | |||||||
\(284\) | − | 5.11428e11i | − | 0.276817i | ||||||
\(285\) | −7.60654e10 | + | 4.69010e10i | −0.0404541 | + | 0.0249435i | ||||
\(286\) | 2.01982e12 | 1.05556 | ||||||||
\(287\) | −2.03792e12 | − | 2.03792e12i | −1.04659 | − | 1.04659i | ||||
\(288\) | 1.37981e12 | − | 1.37981e12i | 0.696396 | − | 0.696396i | ||||
\(289\) | − | 1.62992e12i | − | 0.808493i | ||||||
\(290\) | 1.58985e12 | + | 2.57847e12i | 0.775116 | + | 1.25711i | ||||
\(291\) | 6.20193e9 | 0.00297209 | ||||||||
\(292\) | −3.12503e12 | − | 3.12503e12i | −1.47211 | − | 1.47211i | ||||
\(293\) | 1.90601e12 | − | 1.90601e12i | 0.882646 | − | 0.882646i | −0.111157 | − | 0.993803i | \(-0.535456\pi\) |
0.993803 | + | 0.111157i | \(0.0354557\pi\) | |||||||
\(294\) | 1.04920e11i | 0.0477663i | ||||||||
\(295\) | −6.08533e11 | − | 1.44328e11i | −0.272379 | − | 0.0646012i | ||||
\(296\) | 8.27474e11 | 0.364163 | ||||||||
\(297\) | 4.19243e11 | + | 4.19243e11i | 0.181419 | + | 0.181419i | ||||
\(298\) | −4.11381e12 | + | 4.11381e12i | −1.75050 | + | 1.75050i | ||||
\(299\) | 6.79776e11i | 0.284452i | ||||||||
\(300\) | 9.97680e10 | + | 3.01407e11i | 0.0410568 | + | 0.124036i | ||||
\(301\) | 2.22855e12 | 0.901965 | ||||||||
\(302\) | 1.12229e12 | + | 1.12229e12i | 0.446756 | + | 0.446756i | ||||
\(303\) | 2.39327e11 | − | 2.39327e11i | 0.0937082 | − | 0.0937082i | ||||
\(304\) | 1.64716e10i | 0.00634406i | ||||||||
\(305\) | 2.98134e10 | − | 1.25703e11i | 0.0112957 | − | 0.0476262i | ||||
\(306\) | −1.88912e12 | −0.704131 | ||||||||
\(307\) | 3.61095e12 | + | 3.61095e12i | 1.32413 | + | 1.32413i | 0.910402 | + | 0.413725i | \(0.135772\pi\) |
0.413725 | + | 0.910402i | \(0.364228\pi\) | |||||||
\(308\) | −5.94318e12 | + | 5.94318e12i | −2.14420 | + | 2.14420i | ||||
\(309\) | − | 2.64102e11i | − | 0.0937516i | ||||||
\(310\) | 2.02891e12 | − | 1.25100e12i | 0.708688 | − | 0.436968i | ||||
\(311\) | −3.11985e12 | −1.07234 | −0.536169 | − | 0.844110i | \(-0.680129\pi\) | ||||
−0.536169 | + | 0.844110i | \(0.680129\pi\) | |||||||
\(312\) | 6.92202e10 | + | 6.92202e10i | 0.0234131 | + | 0.0234131i | ||||
\(313\) | 2.31917e12 | − | 2.31917e12i | 0.771990 | − | 0.771990i | −0.206464 | − | 0.978454i | \(-0.566196\pi\) |
0.978454 | + | 0.206464i | \(0.0661957\pi\) | |||||||
\(314\) | − | 4.33685e12i | − | 1.42078i | ||||||
\(315\) | 1.89032e12 | + | 3.06578e12i | 0.609512 | + | 0.988525i | ||||
\(316\) | 6.36796e12 | 2.02099 | ||||||||
\(317\) | −2.55868e11 | − | 2.55868e11i | −0.0799317 | − | 0.0799317i | 0.666011 | − | 0.745942i | \(-0.268001\pi\) |
−0.745942 | + | 0.666011i | \(0.768001\pi\) | |||||||
\(318\) | −4.55010e11 | + | 4.55010e11i | −0.139922 | + | 0.139922i | ||||
\(319\) | − | 4.81544e12i | − | 1.45775i | ||||||
\(320\) | −5.27648e12 | − | 1.25144e12i | −1.57251 | − | 0.372959i | ||||
\(321\) | −3.16482e11 | −0.0928589 | ||||||||
\(322\) | −3.23272e12 | − | 3.23272e12i | −0.933876 | − | 0.933876i | ||||
\(323\) | −6.42201e11 | + | 6.42201e11i | −0.182666 | + | 0.182666i | ||||
\(324\) | − | 5.68183e12i | − | 1.59134i | ||||||
\(325\) | −1.40349e12 | + | 4.64567e11i | −0.387074 | + | 0.128124i | ||||
\(326\) | −1.44304e12 | −0.391914 | ||||||||
\(327\) | −3.25094e10 | − | 3.25094e10i | −0.00869502 | − | 0.00869502i | ||||
\(328\) | 3.42864e12 | − | 3.42864e12i | 0.903134 | − | 0.903134i | ||||
\(329\) | 3.35640e12i | 0.870752i | ||||||||
\(330\) | 1.88242e11 | − | 7.93687e11i | 0.0481001 | − | 0.202805i | ||||
\(331\) | 5.61795e12 | 1.41396 | 0.706981 | − | 0.707232i | \(-0.250056\pi\) | ||||
0.706981 | + | 0.707232i | \(0.250056\pi\) | |||||||
\(332\) | 4.11487e12 | + | 4.11487e12i | 1.02015 | + | 1.02015i | ||||
\(333\) | −1.03854e12 | + | 1.03854e12i | −0.253631 | + | 0.253631i | ||||
\(334\) | 1.03019e13i | 2.47849i | ||||||||
\(335\) | −6.78665e11 | + | 4.18456e11i | −0.160854 | + | 0.0991805i | ||||
\(336\) | −4.33124e9 | −0.00101138 | ||||||||
\(337\) | −1.50329e12 | − | 1.50329e12i | −0.345854 | − | 0.345854i | 0.512709 | − | 0.858563i | \(-0.328642\pi\) |
−0.858563 | + | 0.512709i | \(0.828642\pi\) | |||||||
\(338\) | 4.21205e12 | − | 4.21205e12i | 0.954795 | − | 0.954795i | ||||
\(339\) | 2.24647e11i | 0.0501767i | ||||||||
\(340\) | 1.69351e12 | + | 2.74658e12i | 0.372728 | + | 0.604502i | ||||
\(341\) | −3.78911e12 | −0.821799 | ||||||||
\(342\) | −3.14237e12 | − | 3.14237e12i | −0.671625 | − | 0.671625i | ||||
\(343\) | −2.48651e12 | + | 2.48651e12i | −0.523745 | + | 0.523745i | ||||
\(344\) | 3.74936e12i | 0.778331i | ||||||||
\(345\) | 2.67117e11 | + | 6.33531e10i | 0.0546520 | + | 0.0129620i | ||||
\(346\) | −1.00038e13 | −2.01737 | ||||||||
\(347\) | −3.03026e12 | − | 3.03026e12i | −0.602327 | − | 0.602327i | 0.338603 | − | 0.940929i | \(-0.390046\pi\) |
−0.940929 | + | 0.338603i | \(0.890046\pi\) | |||||||
\(348\) | 4.29991e11 | − | 4.29991e11i | 0.0842486 | − | 0.0842486i | ||||
\(349\) | 5.43229e12i | 1.04919i | 0.851351 | + | 0.524597i | \(0.175784\pi\) | ||||
−0.851351 | + | 0.524597i | \(0.824216\pi\) | |||||||
\(350\) | 4.46513e12 | − | 8.88370e12i | 0.850147 | − | 1.69143i | ||||
\(351\) | −3.48639e11 | −0.0654396 | ||||||||
\(352\) | 6.05510e12 | + | 6.05510e12i | 1.12049 | + | 1.12049i | ||||
\(353\) | 5.06267e12 | − | 5.06267e12i | 0.923648 | − | 0.923648i | −0.0736374 | − | 0.997285i | \(-0.523461\pi\) |
0.997285 | + | 0.0736374i | \(0.0234607\pi\) | |||||||
\(354\) | 2.02913e11i | 0.0365000i | ||||||||
\(355\) | 2.21945e11 | − | 9.35789e11i | 0.0393643 | − | 0.165973i | ||||
\(356\) | −5.36538e12 | −0.938320 | ||||||||
\(357\) | −1.68868e11 | − | 1.68868e11i | −0.0291211 | − | 0.0291211i | ||||
\(358\) | 1.63503e12 | − | 1.63503e12i | 0.278043 | − | 0.278043i | ||||
\(359\) | 3.43536e11i | 0.0576103i | 0.999585 | + | 0.0288051i | \(0.00917023\pi\) | ||||
−0.999585 | + | 0.0288051i | \(0.990830\pi\) | |||||||
\(360\) | −5.15792e12 | + | 3.18031e12i | −0.853026 | + | 0.525966i | ||||
\(361\) | 3.99459e12 | 0.651533 | ||||||||
\(362\) | 8.37349e12 | + | 8.37349e12i | 1.34699 | + | 1.34699i | ||||
\(363\) | −5.58091e11 | + | 5.58091e11i | −0.0885466 | + | 0.0885466i | ||||
\(364\) | − | 4.94231e12i | − | 0.773433i | ||||||
\(365\) | −4.36187e12 | − | 7.07421e12i | −0.673300 | − | 1.09198i | ||||
\(366\) | −4.19151e10 | −0.00638212 | ||||||||
\(367\) | −7.27010e12 | − | 7.27010e12i | −1.09197 | − | 1.09197i | −0.995318 | − | 0.0966506i | \(-0.969187\pi\) |
−0.0966506 | − | 0.995318i | \(-0.530813\pi\) | |||||||
\(368\) | 3.57808e10 | − | 3.57808e10i | 0.00530165 | − | 0.00530165i | ||||
\(369\) | 8.60638e12i | 1.25802i | ||||||||
\(370\) | 3.94504e12 | + | 9.35660e11i | 0.568909 | + | 0.134930i | ||||
\(371\) | 1.24685e13 | 1.77396 | ||||||||
\(372\) | −3.38346e11 | − | 3.38346e11i | −0.0474948 | − | 0.0474948i | ||||
\(373\) | −5.31940e11 | + | 5.31940e11i | −0.0736748 | + | 0.0736748i | −0.742984 | − | 0.669309i | \(-0.766590\pi\) |
0.669309 | + | 0.742984i | \(0.266590\pi\) | |||||||
\(374\) | − | 8.29017e12i | − | 1.13294i | ||||||
\(375\) | 5.17496e10 | + | 5.94797e11i | 0.00697832 | + | 0.0802070i | ||||
\(376\) | −5.64688e12 | −0.751397 | ||||||||
\(377\) | 2.00224e12 | + | 2.00224e12i | 0.262912 | + | 0.262912i | ||||
\(378\) | 1.65798e12 | − | 1.65798e12i | 0.214842 | − | 0.214842i | ||||
\(379\) | − | 1.46221e13i | − | 1.86988i | −0.354809 | − | 0.934939i | \(-0.615454\pi\) | ||
0.354809 | − | 0.934939i | \(-0.384546\pi\) | |||||||
\(380\) | −1.75168e12 | + | 7.38564e12i | −0.221074 | + | 0.932116i | ||||
\(381\) | −9.05619e10 | −0.0112803 | ||||||||
\(382\) | −1.09353e12 | − | 1.09353e12i | −0.134435 | − | 0.134435i | ||||
\(383\) | −5.12352e12 | + | 5.12352e12i | −0.621690 | + | 0.621690i | −0.945964 | − | 0.324273i | \(-0.894880\pi\) |
0.324273 | + | 0.945964i | \(0.394880\pi\) | |||||||
\(384\) | 1.09307e12i | 0.130916i | ||||||||
\(385\) | −1.34537e13 | + | 8.29542e12i | −1.59052 | + | 0.980696i | ||||
\(386\) | 7.29883e10 | 0.00851759 | ||||||||
\(387\) | −4.70571e12 | − | 4.70571e12i | −0.542089 | − | 0.542089i | ||||
\(388\) | 3.72502e11 | − | 3.72502e11i | 0.0423614 | − | 0.0423614i | ||||
\(389\) | 9.85599e12i | 1.10650i | 0.833015 | + | 0.553251i | \(0.186613\pi\) | ||||
−0.833015 | + | 0.553251i | \(0.813387\pi\) | |||||||
\(390\) | 2.51742e11 | + | 4.08282e11i | 0.0279018 | + | 0.0452519i | ||||
\(391\) | 2.79007e12 | 0.305304 | ||||||||
\(392\) | 2.41856e12 | + | 2.41856e12i | 0.261292 | + | 0.261292i | ||||
\(393\) | −1.09639e10 | + | 1.09639e10i | −0.00116950 | + | 0.00116950i | ||||
\(394\) | − | 9.47237e10i | − | 0.00997649i | ||||||
\(395\) | 1.16518e13 | + | 2.76351e12i | 1.21174 | + | 0.287392i | ||||
\(396\) | 2.50988e13 | 2.57737 | ||||||||
\(397\) | 9.24976e12 | + | 9.24976e12i | 0.937946 | + | 0.937946i | 0.998184 | − | 0.0602381i | \(-0.0191860\pi\) |
−0.0602381 | + | 0.998184i | \(0.519186\pi\) | |||||||
\(398\) | −1.93674e13 | + | 1.93674e13i | −1.93935 | + | 1.93935i | ||||
\(399\) | − | 5.61791e11i | − | 0.0555534i | ||||||
\(400\) | 9.83275e10 | + | 4.94215e10i | 0.00960230 | + | 0.00482631i | ||||
\(401\) | −1.06441e13 | −1.02657 | −0.513284 | − | 0.858219i | \(-0.671571\pi\) | ||||
−0.513284 | + | 0.858219i | \(0.671571\pi\) | |||||||
\(402\) | 1.82915e11 | + | 1.82915e11i | 0.0174229 | + | 0.0174229i | ||||
\(403\) | 1.57550e12 | − | 1.57550e12i | 0.148215 | − | 0.148215i | ||||
\(404\) | − | 2.87490e13i | − | 2.67126i | ||||||
\(405\) | 2.46575e12 | − | 1.03964e13i | 0.226294 | − | 0.954128i | ||||
\(406\) | −1.90436e13 | −1.72631 | ||||||||
\(407\) | −4.55750e12 | − | 4.55750e12i | −0.408088 | − | 0.408088i | ||||
\(408\) | 2.84108e11 | − | 2.84108e11i | 0.0251294 | − | 0.0251294i | ||||
\(409\) | − | 3.58194e12i | − | 0.312969i | −0.987680 | − | 0.156484i | \(-0.949984\pi\) | ||
0.987680 | − | 0.156484i | \(-0.0500161\pi\) | |||||||
\(410\) | 2.02232e13 | − | 1.24694e13i | 1.74554 | − | 1.07628i | ||||
\(411\) | 1.40389e12 | 0.119708 | ||||||||
\(412\) | −1.58625e13 | − | 1.58625e13i | −1.33625 | − | 1.33625i | ||||
\(413\) | 2.78018e12 | − | 2.78018e12i | 0.231378 | − | 0.231378i | ||||
\(414\) | 1.36522e13i | 1.12254i | ||||||||
\(415\) | 5.74348e12 | + | 9.31494e12i | 0.466589 | + | 0.756727i | ||||
\(416\) | −5.03538e12 | −0.404171 | ||||||||
\(417\) | −1.13868e12 | − | 1.13868e12i | −0.0903073 | − | 0.0903073i | ||||
\(418\) | 1.37899e13 | − | 1.37899e13i | 1.08063 | − | 1.08063i | ||||
\(419\) | 1.08482e13i | 0.840018i | 0.907520 | + | 0.420009i | \(0.137973\pi\) | ||||
−0.907520 | + | 0.420009i | \(0.862027\pi\) | |||||||
\(420\) | −1.94207e12 | − | 4.60609e11i | −0.148600 | − | 0.0352440i | ||||
\(421\) | 6.64651e12 | 0.502554 | 0.251277 | − | 0.967915i | \(-0.419149\pi\) | ||||
0.251277 | + | 0.967915i | \(0.419149\pi\) | |||||||
\(422\) | −4.01473e12 | − | 4.01473e12i | −0.299981 | − | 0.299981i | ||||
\(423\) | 7.08725e12 | − | 7.08725e12i | 0.523330 | − | 0.523330i | ||||
\(424\) | 2.09773e13i | 1.53080i | ||||||||
\(425\) | 1.90677e12 | + | 5.76050e12i | 0.137516 | + | 0.415447i | ||||
\(426\) | −3.12035e11 | −0.0222410 | ||||||||
\(427\) | 5.74293e11 | + | 5.74293e11i | 0.0404571 | + | 0.0404571i | ||||
\(428\) | −1.90086e13 | + | 1.90086e13i | −1.32352 | + | 1.32352i | ||||
\(429\) | − | 7.62491e11i | − | 0.0524745i | ||||||
\(430\) | −4.23955e12 | + | 1.78753e13i | −0.288389 | + | 1.21594i | ||||
\(431\) | 2.81961e12 | 0.189585 | 0.0947923 | − | 0.995497i | \(-0.469781\pi\) | ||||
0.0947923 | + | 0.995497i | \(0.469781\pi\) | |||||||
\(432\) | 1.83510e10 | + | 1.83510e10i | 0.00121967 | + | 0.00121967i | ||||
\(433\) | 5.55274e12 | − | 5.55274e12i | 0.364811 | − | 0.364811i | −0.500770 | − | 0.865580i | \(-0.666950\pi\) |
0.865580 | + | 0.500770i | \(0.166950\pi\) | |||||||
\(434\) | 1.49848e13i | 0.973201i | ||||||||
\(435\) | 9.73381e11 | − | 6.00175e11i | 0.0624938 | − | 0.0385329i | ||||
\(436\) | −3.90518e12 | −0.247861 | ||||||||
\(437\) | 4.64101e12 | + | 4.64101e12i | 0.291209 | + | 0.291209i | ||||
\(438\) | −1.90666e12 | + | 1.90666e12i | −0.118277 | + | 0.118277i | ||||
\(439\) | − | 1.64442e13i | − | 1.00853i | −0.863548 | − | 0.504266i | \(-0.831763\pi\) | ||
0.863548 | − | 0.504266i | \(-0.168237\pi\) | |||||||
\(440\) | −1.39564e13 | − | 2.26349e13i | −0.846271 | − | 1.37251i | ||||
\(441\) | −6.07093e12 | −0.363967 | ||||||||
\(442\) | 3.44702e12 | + | 3.44702e12i | 0.204330 | + | 0.204330i | ||||
\(443\) | −5.59823e12 | + | 5.59823e12i | −0.328119 | + | 0.328119i | −0.851871 | − | 0.523752i | \(-0.824532\pi\) |
0.523752 | + | 0.851871i | \(0.324532\pi\) | |||||||
\(444\) | − | 8.13915e11i | − | 0.0471698i | ||||||
\(445\) | −9.81735e12 | − | 2.32842e12i | −0.562593 | − | 0.133432i | ||||
\(446\) | 3.35710e13 | 1.90235 | ||||||||
\(447\) | 1.55298e12 | + | 1.55298e12i | 0.0870218 | + | 0.0870218i | ||||
\(448\) | 2.41064e13 | − | 2.41064e13i | 1.33580 | − | 1.33580i | ||||
\(449\) | − | 1.34775e13i | − | 0.738547i | −0.929321 | − | 0.369273i | \(-0.879607\pi\) | ||
0.929321 | − | 0.369273i | \(-0.120393\pi\) | |||||||
\(450\) | −2.81869e13 | + | 9.33008e12i | −1.52751 | + | 0.505618i | ||||
\(451\) | −3.77679e13 | −2.02414 | ||||||||
\(452\) | 1.34928e13 | + | 1.34928e13i | 0.715172 | + | 0.715172i | ||||
\(453\) | 4.23669e11 | − | 4.23669e11i | 0.0222093 | − | 0.0222093i | ||||
\(454\) | − | 8.77733e12i | − | 0.455075i | ||||||
\(455\) | 2.14481e12 | − | 9.04322e12i | 0.109985 | − | 0.463731i | ||||
\(456\) | 9.45169e11 | 0.0479386 | ||||||||
\(457\) | 1.55855e13 | + | 1.55855e13i | 0.781880 | + | 0.781880i | 0.980148 | − | 0.198267i | \(-0.0635315\pi\) |
−0.198267 | + | 0.980148i | \(0.563531\pi\) | |||||||
\(458\) | 1.92759e13 | − | 1.92759e13i | 0.956505 | − | 0.956505i | ||||
\(459\) | 1.43096e12i | 0.0702365i | ||||||||
\(460\) | 1.98488e13 | − | 1.22385e13i | 0.963706 | − | 0.594209i | ||||
\(461\) | −1.55486e13 | −0.746770 | −0.373385 | − | 0.927676i | \(-0.621803\pi\) | ||||
−0.373385 | + | 0.927676i | \(0.621803\pi\) | |||||||
\(462\) | 3.62608e12 | + | 3.62608e12i | 0.172277 | + | 0.172277i | ||||
\(463\) | −2.69336e13 | + | 2.69336e13i | −1.26587 | + | 1.26587i | −0.317666 | + | 0.948203i | \(0.602899\pi\) |
−0.948203 | + | 0.317666i | \(0.897101\pi\) | |||||||
\(464\) | − | 2.10781e11i | − | 0.00980033i | ||||||
\(465\) | −4.72258e11 | − | 7.65922e11i | −0.0217227 | − | 0.0352306i | ||||
\(466\) | 4.18615e13 | 1.90496 | ||||||||
\(467\) | 1.28890e13 | + | 1.28890e13i | 0.580276 | + | 0.580276i | 0.934979 | − | 0.354703i | \(-0.115418\pi\) |
−0.354703 | + | 0.934979i | \(0.615418\pi\) | |||||||
\(468\) | −1.04360e13 | + | 1.04360e13i | −0.464840 | + | 0.464840i | ||||
\(469\) | − | 5.01237e12i | − | 0.220891i | ||||||
\(470\) | −2.69219e13 | − | 6.38517e12i | −1.17386 | − | 0.278409i | ||||
\(471\) | −1.63718e12 | −0.0706303 | ||||||||
\(472\) | 4.67743e12 | + | 4.67743e12i | 0.199663 | + | 0.199663i | ||||
\(473\) | 2.06504e13 | − | 2.06504e13i | 0.872213 | − | 0.872213i | ||||
\(474\) | − | 3.88525e12i | − | 0.162378i | ||||||
\(475\) | −6.41030e12 | + | 1.27537e13i | −0.265100 | + | 0.527436i | ||||
\(476\) | −2.02852e13 | −0.830128 | ||||||||
\(477\) | −2.63280e13 | − | 2.63280e13i | −1.06617 | − | 1.06617i | ||||
\(478\) | −2.30696e12 | + | 2.30696e12i | −0.0924486 | + | 0.0924486i | ||||
\(479\) | − | 4.73768e12i | − | 0.187883i | −0.995578 | − | 0.0939417i | \(-0.970053\pi\) | ||
0.995578 | − | 0.0939417i | \(-0.0299467\pi\) | |||||||
\(480\) | −4.69283e11 | + | 1.97865e12i | −0.0184174 | + | 0.0776536i | ||||
\(481\) | 3.78998e12 | 0.147201 | ||||||||
\(482\) | −2.49615e13 | − | 2.49615e13i | −0.959480 | − | 0.959480i | ||||
\(483\) | −1.22037e12 | + | 1.22037e12i | −0.0464253 | + | 0.0464253i | ||||
\(484\) | 6.70404e13i | 2.52412i | ||||||||
\(485\) | 8.43243e11 | − | 5.19933e11i | 0.0314227 | − | 0.0193749i | ||||
\(486\) | −1.05141e13 | −0.387787 | ||||||||
\(487\) | 1.21568e13 | + | 1.21568e13i | 0.443788 | + | 0.443788i | 0.893283 | − | 0.449495i | \(-0.148396\pi\) |
−0.449495 | + | 0.893283i | \(0.648396\pi\) | |||||||
\(488\) | −9.66203e11 | + | 9.66203e11i | −0.0349116 | + | 0.0349116i | ||||
\(489\) | 5.44753e11i | 0.0194830i | ||||||||
\(490\) | 8.79588e12 | + | 1.42654e13i | 0.311386 | + | 0.505015i | ||||
\(491\) | 1.28353e13 | 0.449777 | 0.224889 | − | 0.974384i | \(-0.427798\pi\) | ||||
0.224889 | + | 0.974384i | \(0.427798\pi\) | |||||||
\(492\) | −3.37246e12 | − | 3.37246e12i | −0.116982 | − | 0.116982i | ||||
\(493\) | 8.21801e12 | − | 8.21801e12i | 0.282184 | − | 0.282184i | ||||
\(494\) | 1.14675e13i | 0.389795i | ||||||||
\(495\) | 4.59247e13 | + | 1.08921e13i | 1.54533 | + | 0.366511i | ||||
\(496\) | −1.65856e11 | −0.00552489 | ||||||||
\(497\) | 4.27530e12 | + | 4.27530e12i | 0.140989 | + | 0.140989i | ||||
\(498\) | 2.51058e12 | − | 2.51058e12i | 0.0819648 | − | 0.0819648i | ||||
\(499\) | 5.11808e12i | 0.165426i | 0.996573 | + | 0.0827131i | \(0.0263585\pi\) | ||||
−0.996573 | + | 0.0827131i | \(0.973642\pi\) | |||||||
\(500\) | 3.88331e13 | + | 3.26167e13i | 1.24266 | + | 1.04373i | ||||
\(501\) | 3.88902e12 | 0.123212 | ||||||||
\(502\) | −5.59143e13 | − | 5.59143e13i | −1.75390 | − | 1.75390i | ||||
\(503\) | −1.03840e13 | + | 1.03840e13i | −0.322497 | + | 0.322497i | −0.849724 | − | 0.527227i | \(-0.823232\pi\) |
0.527227 | + | 0.849724i | \(0.323232\pi\) | |||||||
\(504\) | − | 3.80945e13i | − | 1.17141i | ||||||
\(505\) | 1.24762e13 | − | 5.26037e13i | 0.379862 | − | 1.60162i | ||||
\(506\) | −5.99108e13 | −1.80614 | ||||||||
\(507\) | −1.59007e12 | − | 1.59007e12i | −0.0474652 | − | 0.0474652i | ||||
\(508\) | −5.43935e12 | + | 5.43935e12i | −0.160779 | + | 0.160779i | ||||
\(509\) | 2.01882e13i | 0.590893i | 0.955359 | + | 0.295447i | \(0.0954684\pi\) | ||||
−0.955359 | + | 0.295447i | \(0.904532\pi\) | |||||||
\(510\) | 1.67576e12 | − | 1.03325e12i | 0.0485691 | − | 0.0299471i | ||||
\(511\) | 5.22475e13 | 1.49955 | ||||||||
\(512\) | 5.34740e11 | + | 5.34740e11i | 0.0151982 | + | 0.0151982i | ||||
\(513\) | −2.38025e12 | + | 2.38025e12i | −0.0669940 | + | 0.0669940i | ||||
\(514\) | − | 1.04415e14i | − | 2.91036i | ||||||
\(515\) | −2.21407e13 | − | 3.59085e13i | −0.611161 | − | 0.991199i | ||||
\(516\) | 3.68792e12 | 0.100817 | ||||||||
\(517\) | 3.11014e13 | + | 3.11014e13i | 0.842031 | + | 0.842031i | ||||
\(518\) | −1.80235e13 | + | 1.80235e13i | −0.483271 | + | 0.483271i | ||||
\(519\) | 3.77647e12i | 0.100288i | ||||||||
\(520\) | 1.52145e13 | + | 3.60848e12i | 0.400167 | + | 0.0949090i | ||||
\(521\) | −3.23334e13 | −0.842293 | −0.421146 | − | 0.906993i | \(-0.638372\pi\) | ||||
−0.421146 | + | 0.906993i | \(0.638372\pi\) | |||||||
\(522\) | 4.02118e13 | + | 4.02118e13i | 1.03753 | + | 1.03753i | ||||
\(523\) | −4.70846e13 | + | 4.70846e13i | −1.20329 | + | 1.20329i | −0.230130 | + | 0.973160i | \(0.573915\pi\) |
−0.973160 | + | 0.230130i | \(0.926085\pi\) | |||||||
\(524\) | 1.31703e12i | 0.0333380i | ||||||||
\(525\) | −3.35363e12 | − | 1.68560e12i | −0.0840851 | − | 0.0422629i | ||||
\(526\) | 6.63883e13 | 1.64878 | ||||||||
\(527\) | −6.46649e12 | − | 6.46649e12i | −0.159080 | − | 0.159080i | ||||
\(528\) | −4.01346e10 | + | 4.01346e10i | −0.000978023 | + | 0.000978023i | ||||
\(529\) | 2.12634e13i | 0.513280i | ||||||||
\(530\) | −2.37199e13 | + | 1.00011e14i | −0.567196 | + | 2.39148i | ||||
\(531\) | −1.17410e13 | −0.278121 | ||||||||
\(532\) | −3.37425e13 | − | 3.37425e13i | −0.791805 | − | 0.791805i | ||||
\(533\) | 1.57038e13 | − | 1.57038e13i | 0.365063 | − | 0.365063i | ||||
\(534\) | 3.27355e12i | 0.0753899i | ||||||||
\(535\) | −4.30303e13 | + | 2.65320e13i | −0.981761 | + | 0.605342i | ||||
\(536\) | 8.43292e12 | 0.190614 | ||||||||
\(537\) | −6.17231e11 | − | 6.17231e11i | −0.0138222 | − | 0.0138222i | ||||
\(538\) | −2.36062e13 | + | 2.36062e13i | −0.523740 | + | 0.523740i | ||||
\(539\) | − | 2.66415e13i | − | 0.585618i | ||||||
\(540\) | 6.27681e12 | + | 1.01799e13i | 0.136701 | + | 0.221705i | ||||
\(541\) | 4.99974e13 | 1.07885 | 0.539426 | − | 0.842033i | \(-0.318641\pi\) | ||||
0.539426 | + | 0.842033i | \(0.318641\pi\) | |||||||
\(542\) | 6.37125e13 | + | 6.37125e13i | 1.36216 | + | 1.36216i | ||||
\(543\) | 3.16102e12 | − | 3.16102e12i | 0.0669620 | − | 0.0669620i | ||||
\(544\) | 2.06672e13i | 0.433798i | ||||||||
\(545\) | −7.14553e12 | − | 1.69473e12i | −0.148611 | − | 0.0352467i | ||||
\(546\) | −3.01542e12 | −0.0621420 | ||||||||
\(547\) | −5.82818e13 | − | 5.82818e13i | −1.19014 | − | 1.19014i | −0.977029 | − | 0.213106i | \(-0.931642\pi\) |
−0.213106 | − | 0.977029i | \(-0.568358\pi\) | |||||||
\(548\) | 8.43207e13 | − | 8.43207e13i | 1.70621 | − | 1.70621i | ||||
\(549\) | − | 2.42531e12i | − | 0.0486301i | ||||||
\(550\) | −4.09438e13 | − | 1.23694e14i | −0.813532 | − | 2.45774i | ||||
\(551\) | 2.73397e13 | 0.538314 | ||||||||
\(552\) | −2.05317e12 | − | 2.05317e12i | −0.0400617 | − | 0.0400617i | ||||
\(553\) | −5.32332e13 | + | 5.32332e13i | −1.02933 | + | 1.02933i | ||||
\(554\) | − | 3.06685e13i | − | 0.587684i | ||||||
\(555\) | 3.53215e11 | − | 1.48927e12i | 0.00670771 | − | 0.0282818i | ||||
\(556\) | −1.36784e14 | −2.57431 | ||||||||
\(557\) | −4.26185e13 | − | 4.26185e13i | −0.794918 | − | 0.794918i | 0.187371 | − | 0.982289i | \(-0.440003\pi\) |
−0.982289 | + | 0.187371i | \(0.940003\pi\) | |||||||
\(558\) | 3.16413e13 | − | 3.16413e13i | 0.584903 | − | 0.584903i | ||||
\(559\) | 1.71727e13i | 0.314615i | ||||||||
\(560\) | −5.88895e11 | + | 3.63106e11i | −0.0106930 | + | 0.00659315i | ||||
\(561\) | −3.12957e12 | −0.0563210 | ||||||||
\(562\) | 8.62428e13 | + | 8.62428e13i | 1.53830 | + | 1.53830i | ||||
\(563\) | 5.61683e13 | − | 5.61683e13i | 0.993000 | − | 0.993000i | −0.00697548 | − | 0.999976i | \(-0.502220\pi\) |
0.999976 | + | 0.00697548i | \(0.00222038\pi\) | |||||||
\(564\) | 5.55435e12i | 0.0973281i | ||||||||
\(565\) | 1.88331e13 | + | 3.05441e13i | 0.327099 | + | 0.530499i | ||||
\(566\) | 1.36962e14 | 2.35785 | ||||||||
\(567\) | 4.74975e13 | + | 4.74975e13i | 0.810504 | + | 0.810504i | ||||
\(568\) | −7.19285e12 | + | 7.19285e12i | −0.121663 | + | 0.121663i | ||||
\(569\) | − | 6.58884e12i | − | 0.110471i | −0.998473 | − | 0.0552354i | \(-0.982409\pi\) | ||
0.998473 | − | 0.0552354i | \(-0.0175909\pi\) | |||||||
\(570\) | 4.50616e12 | + | 1.06874e12i | 0.0748914 | + | 0.0177623i | ||||
\(571\) | −5.37135e13 | −0.884917 | −0.442459 | − | 0.896789i | \(-0.645894\pi\) | ||||
−0.442459 | + | 0.896789i | \(0.645894\pi\) | |||||||
\(572\) | −4.57969e13 | − | 4.57969e13i | −0.747921 | − | 0.747921i | ||||
\(573\) | −4.12812e11 | + | 4.12812e11i | −0.00668312 | + | 0.00668312i | ||||
\(574\) | 1.49361e14i | 2.39705i | ||||||||
\(575\) | 4.16296e13 | − | 1.37797e13i | 0.662312 | − | 0.219231i | ||||
\(576\) | −1.01804e14 | −1.60566 | ||||||||
\(577\) | 6.26053e12 | + | 6.26053e12i | 0.0978885 | + | 0.0978885i | 0.754355 | − | 0.656467i | \(-0.227950\pi\) |
−0.656467 | + | 0.754355i | \(0.727950\pi\) | |||||||
\(578\) | −5.97290e13 | + | 5.97290e13i | −0.925862 | + | 0.925862i | ||||
\(579\) | − | 2.75533e10i | − | 0.000423430i | ||||||
\(580\) | 2.24156e13 | − | 9.45114e13i | 0.341516 | − | 1.43994i | ||||
\(581\) | −6.87967e13 | −1.03917 | ||||||||
\(582\) | −2.27273e11 | − | 2.27273e11i | −0.00340355 | − | 0.00340355i | ||||
\(583\) | 1.15537e14 | − | 1.15537e14i | 1.71545 | − | 1.71545i | ||||
\(584\) | 8.79023e13i | 1.29401i | ||||||||
\(585\) | −2.36242e13 | + | 1.45664e13i | −0.344808 | + | 0.212605i | ||||
\(586\) | −1.39693e14 | −2.02156 | ||||||||
\(587\) | −1.15834e13 | − | 1.15834e13i | −0.166205 | − | 0.166205i | 0.619104 | − | 0.785309i | \(-0.287496\pi\) |
−0.785309 | + | 0.619104i | \(0.787496\pi\) | |||||||
\(588\) | 2.37893e12 | − | 2.37893e12i | 0.0338450 | − | 0.0338450i | ||||
\(589\) | − | 2.15127e13i | − | 0.303472i | ||||||
\(590\) | 1.70110e13 | + | 2.75889e13i | 0.237941 | + | 0.385900i | ||||
\(591\) | −3.57586e10 | −0.000495956 | ||||||||
\(592\) | −1.99490e11 | − | 1.99490e11i | −0.00274355 | − | 0.00274355i | ||||
\(593\) | −3.57785e13 | + | 3.57785e13i | −0.487920 | + | 0.487920i | −0.907649 | − | 0.419729i | \(-0.862125\pi\) |
0.419729 | + | 0.907649i | \(0.362125\pi\) | |||||||
\(594\) | − | 3.07267e13i | − | 0.415512i | ||||||
\(595\) | −3.71170e13 | − | 8.80319e12i | −0.497724 | − | 0.118047i | ||||
\(596\) | 1.86551e14 | 2.48065 | ||||||||
\(597\) | 7.31127e12 | + | 7.31127e12i | 0.0964099 | + | 0.0964099i | ||||
\(598\) | 2.49107e13 | − | 2.49107e13i | 0.325746 | − | 0.325746i | ||||
\(599\) | 1.02657e14i | 1.33123i | 0.746295 | + | 0.665615i | \(0.231831\pi\) | ||||
−0.746295 | + | 0.665615i | \(0.768169\pi\) | |||||||
\(600\) | 2.83590e12 | − | 5.64222e12i | 0.0364698 | − | 0.0725594i | ||||
\(601\) | 1.17156e14 | 1.49415 | 0.747074 | − | 0.664741i | \(-0.231458\pi\) | ||||
0.747074 | + | 0.664741i | \(0.231458\pi\) | |||||||
\(602\) | −8.16662e13 | − | 8.16662e13i | −1.03290 | − | 1.03290i | ||||
\(603\) | −1.05839e13 | + | 1.05839e13i | −0.132758 | + | 0.132758i | ||||
\(604\) | − | 5.08930e13i | − | 0.633102i | ||||||
\(605\) | −2.90936e13 | + | 1.22668e14i | −0.358938 | + | 1.51340i | ||||
\(606\) | −1.75405e13 | −0.214624 | ||||||||
\(607\) | −1.79344e13 | − | 1.79344e13i | −0.217642 | − | 0.217642i | 0.589862 | − | 0.807504i | \(-0.299182\pi\) |
−0.807504 | + | 0.589862i | \(0.799182\pi\) | |||||||
\(608\) | −3.43779e13 | + | 3.43779e13i | −0.413772 | + | 0.413772i | ||||
\(609\) | 7.18904e12i | 0.0858192i | ||||||||
\(610\) | −5.69897e12 | + | 3.51391e12i | −0.0674756 | + | 0.0416046i | ||||
\(611\) | −2.58637e13 | −0.303728 | ||||||||
\(612\) | 4.28335e13 | + | 4.28335e13i | 0.498915 | + | 0.498915i | ||||
\(613\) | −2.32799e13 | + | 2.32799e13i | −0.268954 | + | 0.268954i | −0.828679 | − | 0.559725i | \(-0.810907\pi\) |
0.559725 | + | 0.828679i | \(0.310907\pi\) | |||||||
\(614\) | − | 2.64650e14i | − | 3.03270i | ||||||
\(615\) | −4.70723e12 | − | 7.63432e12i | −0.0535044 | − | 0.0867750i | ||||
\(616\) | 1.67173e14 | 1.88479 | ||||||||
\(617\) | −4.03449e12 | − | 4.03449e12i | −0.0451193 | − | 0.0451193i | 0.684187 | − | 0.729306i | \(-0.260157\pi\) |
−0.729306 | + | 0.684187i | \(0.760157\pi\) | |||||||
\(618\) | −9.67813e12 | + | 9.67813e12i | −0.107362 | + | 0.107362i | ||||
\(619\) | − | 1.31538e14i | − | 1.44743i | −0.690097 | − | 0.723717i | \(-0.742432\pi\) | ||
0.690097 | − | 0.723717i | \(-0.257568\pi\) | |||||||
\(620\) | −7.43679e13 | − | 1.76381e13i | −0.811759 | − | 0.192528i | ||||
\(621\) | 1.03411e13 | 0.111972 | ||||||||
\(622\) | 1.14328e14 | + | 1.14328e14i | 1.22801 | + | 1.22801i | ||||
\(623\) | 4.48521e13 | − | 4.48521e13i | 0.477906 | − | 0.477906i | ||||
\(624\) | − | 3.33756e10i | − | 0.000352782i | ||||||
\(625\) | 5.69004e13 | + | 7.65330e13i | 0.596644 | + | 0.802506i | ||||
\(626\) | −1.69974e14 | −1.76812 | ||||||||
\(627\) | −5.20573e12 | − | 5.20573e12i | −0.0537209 | − | 0.0537209i | ||||
\(628\) | −9.83325e13 | + | 9.83325e13i | −1.00670 | + | 1.00670i | ||||
\(629\) | − | 1.55556e13i | − | 0.157992i | ||||||
\(630\) | 4.30751e13 | − | 1.81618e14i | 0.434034 | − | 1.83002i | ||||
\(631\) | −1.42695e13 | −0.142647 | −0.0713235 | − | 0.997453i | \(-0.522722\pi\) | ||||
−0.0713235 | + | 0.997453i | \(0.522722\pi\) | |||||||
\(632\) | −8.95605e13 | − | 8.95605e13i | −0.888242 | − | 0.888242i | ||||
\(633\) | −1.51558e12 | + | 1.51558e12i | −0.0149128 | + | 0.0149128i | ||||
\(634\) | 1.87528e13i | 0.183071i | ||||||||
\(635\) | −1.23132e13 | + | 7.59217e12i | −0.119262 | + | 0.0735356i | ||||
\(636\) | 2.06335e13 | 0.198284 | ||||||||
\(637\) | 1.10774e13 | + | 1.10774e13i | 0.105619 | + | 0.105619i | ||||
\(638\) | −1.76464e14 | + | 1.76464e14i | −1.66937 | + | 1.66937i | ||||
\(639\) | − | 1.80551e13i | − | 0.169471i | ||||||
\(640\) | 9.16365e13 | + | 1.48619e14i | 0.853432 | + | 1.38412i | ||||
\(641\) | 5.69159e13 | 0.525949 | 0.262974 | − | 0.964803i | \(-0.415297\pi\) | ||||
0.262974 | + | 0.964803i | \(0.415297\pi\) | |||||||
\(642\) | 1.15976e13 | + | 1.15976e13i | 0.106339 | + | 0.106339i | ||||
\(643\) | −2.85059e12 | + | 2.85059e12i | −0.0259346 | + | 0.0259346i | −0.719955 | − | 0.694021i | \(-0.755838\pi\) |
0.694021 | + | 0.719955i | \(0.255838\pi\) | |||||||
\(644\) | 1.46596e14i | 1.32340i | ||||||||
\(645\) | 6.74800e12 | + | 1.60045e12i | 0.0604472 | + | 0.0143365i | ||||
\(646\) | 4.70675e13 | 0.418368 | ||||||||
\(647\) | 8.20235e13 | + | 8.20235e13i | 0.723464 | + | 0.723464i | 0.969309 | − | 0.245845i | \(-0.0790655\pi\) |
−0.245845 | + | 0.969309i | \(0.579066\pi\) | |||||||
\(648\) | −7.99107e13 | + | 7.99107e13i | −0.699407 | + | 0.699407i | ||||
\(649\) | − | 5.15239e13i | − | 0.447492i | ||||||
\(650\) | 6.84559e13 | + | 3.44074e13i | 0.589989 | + | 0.296541i | ||||
\(651\) | 5.65682e12 | 0.0483802 | ||||||||
\(652\) | 3.27191e13 | + | 3.27191e13i | 0.277692 | + | 0.277692i | ||||
\(653\) | 7.75115e13 | − | 7.75115e13i | 0.652830 | − | 0.652830i | −0.300844 | − | 0.953673i | \(-0.597268\pi\) |
0.953673 | + | 0.300844i | \(0.0972682\pi\) | |||||||
\(654\) | 2.38265e12i | 0.0199146i | ||||||||
\(655\) | −5.71552e11 | + | 2.40984e12i | −0.00474077 | + | 0.0199886i | ||||
\(656\) | −1.65317e12 | −0.0136081 | ||||||||
\(657\) | −1.10324e14 | − | 1.10324e14i | −0.901244 | − | 0.901244i | ||||
\(658\) | 1.22997e14 | − | 1.22997e14i | 0.997160 | − | 0.997160i | ||||
\(659\) | 1.61712e14i | 1.30112i | 0.759456 | + | 0.650559i | \(0.225465\pi\) | ||||
−0.759456 | + | 0.650559i | \(0.774535\pi\) | |||||||
\(660\) | −2.22640e13 | + | 1.37277e13i | −0.177780 | + | 0.109617i | ||||
\(661\) | −1.35594e14 | −1.07457 | −0.537283 | − | 0.843402i | \(-0.680549\pi\) | ||||
−0.537283 | + | 0.843402i | \(0.680549\pi\) | |||||||
\(662\) | −2.05872e14 | − | 2.05872e14i | −1.61923 | − | 1.61923i | ||||
\(663\) | 1.30126e12 | − | 1.30126e12i | 0.0101578 | − | 0.0101578i | ||||
\(664\) | − | 1.15745e14i | − | 0.896730i | ||||||
\(665\) | −4.70973e13 | − | 7.63837e13i | −0.362149 | − | 0.587344i | ||||
\(666\) | 7.61155e13 | 0.580901 | ||||||||
\(667\) | −5.93893e13 | − | 5.93893e13i | −0.449862 | − | 0.449862i | ||||
\(668\) | 2.33583e14 | − | 2.33583e14i | 1.75614 | − | 1.75614i | ||||
\(669\) | − | 1.26732e13i | − | 0.0945705i | ||||||
\(670\) | 4.02045e13 | + | 9.53545e12i | 0.297784 | + | 0.0706264i | ||||
\(671\) | 1.06432e13 | 0.0782452 | ||||||||
\(672\) | −9.03975e12 | − | 9.03975e12i | −0.0659645 | − | 0.0659645i | ||||
\(673\) | 8.37535e12 | − | 8.37535e12i | 0.0606635 | − | 0.0606635i | −0.676124 | − | 0.736788i | \(-0.736342\pi\) |
0.736788 | + | 0.676124i | \(0.236342\pi\) | |||||||
\(674\) | 1.10177e14i | 0.792123i | ||||||||
\(675\) | 7.06726e12 | + | 2.13507e13i | 0.0504350 | + | 0.152368i | ||||
\(676\) | −1.91006e14 | −1.35305 | ||||||||
\(677\) | −1.97192e12 | − | 1.97192e12i | −0.0138659 | − | 0.0138659i | 0.700140 | − | 0.714006i | \(-0.253121\pi\) |
−0.714006 | + | 0.700140i | \(0.753121\pi\) | |||||||
\(678\) | 8.23230e12 | − | 8.23230e12i | 0.0574609 | − | 0.0574609i | ||||
\(679\) | 6.22788e12i | 0.0431511i | ||||||||
\(680\) | 1.48107e13 | − | 6.24465e13i | 0.101866 | − | 0.429500i | ||||
\(681\) | −3.31347e12 | −0.0226229 | ||||||||
\(682\) | 1.38854e14 | + | 1.38854e14i | 0.941100 | + | 0.941100i | ||||
\(683\) | −6.19350e13 | + | 6.19350e13i | −0.416709 | + | 0.416709i | −0.884068 | − | 0.467359i | \(-0.845206\pi\) |
0.467359 | + | 0.884068i | \(0.345206\pi\) | |||||||
\(684\) | 1.42498e14i | 0.951765i | ||||||||
\(685\) | 1.90879e14 | − | 1.17694e14i | 1.26563 | − | 0.780370i | ||||
\(686\) | 1.82239e14 | 1.19955 | ||||||||
\(687\) | −7.27672e12 | − | 7.27672e12i | −0.0475502 | − | 0.0475502i | ||||
\(688\) | 9.03906e11 | − | 9.03906e11i | 0.00586383 | − | 0.00586383i | ||||
\(689\) | 9.60796e13i | 0.618778i | ||||||||
\(690\) | −7.46702e12 | − | 1.21102e13i | −0.0477421 | − | 0.0774296i | ||||
\(691\) | −1.70456e14 | −1.08198 | −0.540992 | − | 0.841028i | \(-0.681951\pi\) | ||||
−0.540992 | + | 0.841028i | \(0.681951\pi\) | |||||||
\(692\) | 2.26824e14 | + | 2.26824e14i | 1.42941 | + | 1.42941i | ||||
\(693\) | −2.09814e14 | + | 2.09814e14i | −1.31271 | + | 1.31271i | ||||
\(694\) | 2.22090e14i | 1.37953i | ||||||||
\(695\) | −2.50281e14 | − | 5.93601e13i | −1.54349 | − | 0.366076i | ||||
\(696\) | −1.20950e13 | −0.0740558 | ||||||||
\(697\) | −6.44546e13 | − | 6.44546e13i | −0.391823 | − | 0.391823i | ||||
\(698\) | 1.99069e14 | − | 1.99069e14i | 1.20151 | − | 1.20151i | ||||
\(699\) | − | 1.58029e13i | − | 0.0947002i | ||||||
\(700\) | −3.02668e14 | + | 1.00185e14i | −1.80084 | + | 0.596094i | ||||
\(701\) | 1.18379e14 | 0.699333 | 0.349667 | − | 0.936874i | \(-0.386295\pi\) | ||||
0.349667 | + | 0.936874i | \(0.386295\pi\) | |||||||
\(702\) | 1.27760e13 | + | 1.27760e13i | 0.0749394 | + | 0.0749394i | ||||
\(703\) | 2.58752e13 | − | 2.58752e13i | 0.150698 | − | 0.150698i | ||||
\(704\) | − | 4.46755e14i | − | 2.58348i | ||||||
\(705\) | −2.41043e12 | + | 1.01631e13i | −0.0138404 | + | 0.0583554i | ||||
\(706\) | −3.71048e14 | −2.11547 | ||||||||
\(707\) | 2.40328e14 | + | 2.40328e14i | 1.36053 | + | 1.36053i | ||||
\(708\) | 4.60079e12 | − | 4.60079e12i | 0.0258622 | − | 0.0258622i | ||||
\(709\) | − | 1.42535e14i | − | 0.795592i | −0.917474 | − | 0.397796i | \(-0.869775\pi\) | ||
0.917474 | − | 0.397796i | \(-0.130225\pi\) | |||||||
\(710\) | −4.24257e13 | + | 2.61592e13i | −0.235146 | + | 0.144988i | ||||
\(711\) | 2.24810e14 | 1.23728 | ||||||||
\(712\) | 7.54601e13 | + | 7.54601e13i | 0.412399 | + | 0.412399i | ||||
\(713\) | −4.67315e13 | + | 4.67315e13i | −0.253608 | + | 0.253608i | ||||
\(714\) | 1.23765e13i | 0.0666972i | ||||||||
\(715\) | −6.39227e13 | − | 1.03672e14i | −0.342078 | − | 0.554792i | ||||
\(716\) | −7.41446e13 | −0.394016 | ||||||||
\(717\) | 8.70885e11 | + | 8.70885e11i | 0.00459584 | + | 0.00459584i | ||||
\(718\) | 1.25890e13 | − | 1.25890e13i | 0.0659736 | − | 0.0659736i | ||||
\(719\) | 1.84844e14i | 0.961971i | 0.876729 | + | 0.480985i | \(0.159721\pi\) | ||||
−0.876729 | + | 0.480985i | \(0.840279\pi\) | |||||||
\(720\) | 2.01021e12 | + | 4.76768e11i | 0.0103891 | + | 0.00246402i | ||||
\(721\) | 2.65207e14 | 1.36116 | ||||||||
\(722\) | −1.46384e14 | − | 1.46384e14i | −0.746116 | − | 0.746116i | ||||
\(723\) | −9.42307e12 | + | 9.42307e12i | −0.0476981 | + | 0.0476981i | ||||
\(724\) | − | 3.79716e14i | − | 1.90883i | ||||||
\(725\) | 8.20303e13 | − | 1.63205e14i | 0.409528 | − | 0.814786i | ||||
\(726\) | 4.09030e13 | 0.202802 | ||||||||
\(727\) | 1.31222e12 | + | 1.31222e12i | 0.00646154 | + | 0.00646154i | 0.710330 | − | 0.703869i | \(-0.248546\pi\) |
−0.703869 | + | 0.710330i | \(0.748546\pi\) | |||||||
\(728\) | −6.95098e13 | + | 6.95098e13i | −0.339930 | + | 0.339930i | ||||
\(729\) | − | 1.97927e14i | − | 0.961319i | ||||||
\(730\) | −9.93948e13 | + | 4.19080e14i | −0.479457 | + | 2.02154i | ||||
\(731\) | 7.04838e13 | 0.337678 | ||||||||
\(732\) | 9.50371e11 | + | 9.50371e11i | 0.00452208 | + | 0.00452208i | ||||
\(733\) | 4.75943e13 | − | 4.75943e13i | 0.224923 | − | 0.224923i | −0.585645 | − | 0.810568i | \(-0.699159\pi\) |
0.810568 | + | 0.585645i | \(0.199159\pi\) | |||||||
\(734\) | 5.32832e14i | 2.50098i | ||||||||
\(735\) | 5.38525e12 | − | 3.32048e12i | 0.0251055 | − | 0.0154797i | ||||
\(736\) | 1.49356e14 | 0.691568 | ||||||||
\(737\) | −4.64461e13 | − | 4.64461e13i | −0.213605 | − | 0.213605i | ||||
\(738\) | 3.15384e14 | − | 3.15384e14i | 1.44065 | − | 1.44065i | ||||
\(739\) | 2.72621e14i | 1.23691i | 0.785821 | + | 0.618454i | \(0.212241\pi\) | ||||
−0.785821 | + | 0.618454i | \(0.787759\pi\) | |||||||
\(740\) | −6.82339e13 | − | 1.10664e14i | −0.307497 | − | 0.498708i | ||||
\(741\) | 4.32904e12 | 0.0193776 | ||||||||
\(742\) | −4.56914e14 | − | 4.56914e14i | −2.03149 | − | 2.03149i | ||||
\(743\) | 5.56171e13 | − | 5.56171e13i | 0.245620 | − | 0.245620i | −0.573550 | − | 0.819170i | \(-0.694434\pi\) |
0.819170 | + | 0.573550i | \(0.194434\pi\) | |||||||
\(744\) | 9.51715e12i | 0.0417486i | ||||||||
\(745\) | 3.41343e14 | + | 8.09575e13i | 1.48734 | + | 0.352757i | ||||
\(746\) | 3.89864e13 | 0.168740 | ||||||||
\(747\) | 1.45268e14 | + | 1.45268e14i | 0.624551 | + | 0.624551i | ||||
\(748\) | −1.87969e14 | + | 1.87969e14i | −0.802746 | + | 0.802746i | ||||
\(749\) | − | 3.17806e14i | − | 1.34820i | ||||||
\(750\) | 1.99002e13 | − | 2.36930e13i | 0.0838594 | − | 0.0998421i | ||||
\(751\) | −4.10425e14 | −1.71804 | −0.859022 | − | 0.511939i | \(-0.828928\pi\) | ||||
−0.859022 | + | 0.511939i | \(0.828928\pi\) | |||||||
\(752\) | 1.36137e12 | + | 1.36137e12i | 0.00566091 | + | 0.00566091i | ||||
\(753\) | −2.11079e13 | + | 2.11079e13i | −0.0871905 | + | 0.0871905i | ||||
\(754\) | − | 1.46746e14i | − | 0.602157i | ||||||
\(755\) | 2.20861e13 | − | 9.31219e13i | 0.0900293 | − | 0.379592i | ||||
\(756\) | −7.51851e13 | −0.304455 | ||||||||
\(757\) | 7.95566e13 | + | 7.95566e13i | 0.320034 | + | 0.320034i | 0.848780 | − | 0.528746i | \(-0.177338\pi\) |
−0.528746 | + | 0.848780i | \(0.677338\pi\) | |||||||
\(758\) | −5.35833e14 | + | 5.35833e14i | −2.14133 | + | 2.14133i | ||||
\(759\) | 2.26166e13i | 0.0897878i | ||||||||
\(760\) | 1.28510e14 | − | 7.92374e13i | 0.506836 | − | 0.312509i | ||||
\(761\) | −3.44180e14 | −1.34854 | −0.674268 | − | 0.738487i | \(-0.735541\pi\) | ||||
−0.674268 | + | 0.738487i | \(0.735541\pi\) | |||||||
\(762\) | 3.31868e12 | + | 3.31868e12i | 0.0129179 | + | 0.0129179i | ||||
\(763\) | 3.26455e13 | − | 3.26455e13i | 0.126241 | − | 0.126241i | ||||
\(764\) | 4.95888e13i | 0.190510i | ||||||||
\(765\) | 5.97864e13 | + | 9.69633e13i | 0.228189 | + | 0.370084i | ||||
\(766\) | 3.75507e14 | 1.42388 | ||||||||
\(767\) | 2.14235e13 | + | 2.14235e13i | 0.0807073 | + | 0.0807073i | ||||
\(768\) | 1.54739e13 | − | 1.54739e13i | 0.0579155 | − | 0.0579155i | ||||
\(769\) | 1.60436e14i | 0.596581i | 0.954475 | + | 0.298291i | \(0.0964165\pi\) | ||||
−0.954475 | + | 0.298291i | \(0.903584\pi\) | |||||||
\(770\) | 7.97008e14 | + | 1.89029e14i | 2.94448 | + | 0.698354i | ||||
\(771\) | −3.94170e13 | −0.144681 | ||||||||
\(772\) | −1.65492e12 | − | 1.65492e12i | −0.00603517 | − | 0.00603517i | ||||
\(773\) | −2.73906e14 | + | 2.73906e14i | −0.992438 | + | 0.992438i | −0.999972 | − | 0.00753359i | \(-0.997602\pi\) |
0.00753359 | + | 0.999972i | \(0.497602\pi\) | |||||||
\(774\) | 3.44886e14i | 1.24157i | ||||||||
\(775\) | −1.28421e14 | − | 6.45469e13i | −0.459332 | − | 0.230870i | ||||
\(776\) | −1.04779e13 | −0.0372363 | ||||||||
\(777\) | 6.80395e12 | + | 6.80395e12i | 0.0240246 | + | 0.0240246i | ||||
\(778\) | 3.61177e14 | − | 3.61177e14i | 1.26713 | − | 1.26713i | ||||
\(779\) | − | 2.14428e14i | − | 0.747469i | ||||||
\(780\) | 3.54935e12 | − | 1.49652e13i | 0.0122935 | − | 0.0518334i | ||||
\(781\) | 7.92324e13 | 0.272677 | ||||||||
\(782\) | −1.02244e14 | − | 1.02244e14i | −0.349625 | − | 0.349625i | ||||
\(783\) | 3.04592e13 | − | 3.04592e13i | 0.103493 | − | 0.103493i | ||||
\(784\) | − | 1.16615e12i | − | 0.00393707i | ||||||
\(785\) | −2.22598e14 | + | 1.37251e14i | −0.746746 | + | 0.460434i | ||||
\(786\) | 8.03552e11 | 0.00267856 | ||||||||
\(787\) | −1.39152e14 | − | 1.39152e14i | −0.460908 | − | 0.460908i | 0.438045 | − | 0.898953i | \(-0.355671\pi\) |
−0.898953 | + | 0.438045i | \(0.855671\pi\) | |||||||
\(788\) | −2.14774e12 | + | 2.14774e12i | −0.00706888 | + | 0.00706888i | ||||
\(789\) | − | 2.50618e13i | − | 0.0819649i | ||||||
\(790\) | −3.25716e14 | − | 5.28256e14i | −1.05853 | − | 1.71676i | ||||
\(791\) | −2.25587e14 | −0.728504 | ||||||||
\(792\) | −3.52995e14 | − | 3.52995e14i | −1.13277 | − | 1.13277i | ||||
\(793\) | −4.42538e12 | + | 4.42538e12i | −0.0141119 | + | 0.0141119i | ||||
\(794\) | − | 6.77923e14i | − | 2.14822i | ||||||
\(795\) | 3.77543e13 | + | 8.95434e12i | 0.118886 | + | 0.0281967i | ||||
\(796\) | 8.78263e14 | 2.74827 | ||||||||
\(797\) | −1.18040e14 | − | 1.18040e14i | −0.367059 | − | 0.367059i | 0.499345 | − | 0.866404i | \(-0.333574\pi\) |
−0.866404 | + | 0.499345i | \(0.833574\pi\) | |||||||
\(798\) | −2.05871e13 | + | 2.05871e13i | −0.0636181 | + | 0.0636181i | ||||
\(799\) | 1.06155e14i | 0.325992i | ||||||||
\(800\) | 1.02072e14 | + | 3.08368e14i | 0.311499 | + | 0.941063i | ||||
\(801\) | −1.89416e14 | −0.574452 | ||||||||
\(802\) | 3.90059e14 | + | 3.90059e14i | 1.17560 | + | 1.17560i | ||||
\(803\) | 4.84141e14 | − | 4.84141e14i | 1.45009 | − | 1.45009i | ||||
\(804\) | − | 8.29474e12i | − | 0.0246901i | ||||||
\(805\) | −6.36182e13 | + | 2.68235e14i | −0.188192 | + | 0.793479i | ||||
\(806\) | −1.15470e14 | −0.339463 | ||||||||
\(807\) | 8.91144e12 | + | 8.91144e12i | 0.0260364 | + | 0.0260364i | ||||
\(808\) | −4.04333e14 | + | 4.04333e14i | −1.17404 | + | 1.17404i | ||||
\(809\) | − | 4.81372e14i | − | 1.38911i | −0.719437 | − | 0.694557i | \(-0.755600\pi\) | ||
0.719437 | − | 0.694557i | \(-0.244400\pi\) | |||||||
\(810\) | −4.71338e14 | + | 2.90621e14i | −1.35178 | + | 0.833494i | ||||
\(811\) | 1.03601e14 | 0.295298 | 0.147649 | − | 0.989040i | \(-0.452829\pi\) | ||||
0.147649 | + | 0.989040i | \(0.452829\pi\) | |||||||
\(812\) | 4.31790e14 | + | 4.31790e14i | 1.22319 | + | 1.22319i | ||||
\(813\) | 2.40517e13 | − | 2.40517e13i | 0.0677163 | − | 0.0677163i | ||||
\(814\) | 3.34023e14i | 0.934661i | ||||||||
\(815\) | 4.56689e13 | + | 7.40671e13i | 0.127008 | + | 0.205986i | ||||
\(816\) | −1.36987e11 | −0.000378642 | ||||||||
\(817\) | 1.17243e14 | + | 1.17243e14i | 0.322089 | + | 0.322089i | ||||
\(818\) | −1.31262e14 | + | 1.31262e14i | −0.358403 | + | 0.358403i | ||||
\(819\) | − | 1.74480e14i | − | 0.473506i | ||||||
\(820\) | −7.41261e14 | − | 1.75808e14i | −1.99941 | − | 0.474208i | ||||
\(821\) | 2.44974e14 | 0.656756 | 0.328378 | − | 0.944546i | \(-0.393498\pi\) | ||||
0.328378 | + | 0.944546i | \(0.393498\pi\) | |||||||
\(822\) | −5.14461e13 | − | 5.14461e13i | −0.137086 | − | 0.137086i | ||||
\(823\) | −3.59716e14 | + | 3.59716e14i | −0.952708 | + | 0.952708i | −0.998931 | − | 0.0462228i | \(-0.985282\pi\) |
0.0462228 | + | 0.998931i | \(0.485282\pi\) | |||||||
\(824\) | 4.46190e14i | 1.17458i | ||||||||
\(825\) | −4.66951e13 | + | 1.54564e13i | −0.122180 | + | 0.0404427i | ||||
\(826\) | −2.03762e14 | −0.529935 | ||||||||
\(827\) | 4.05136e14 | + | 4.05136e14i | 1.04731 | + | 1.04731i | 0.998824 | + | 0.0484810i | \(0.0154380\pi\) |
0.0484810 | + | 0.998824i | \(0.484562\pi\) | |||||||
\(828\) | 3.09546e14 | − | 3.09546e14i | 0.795378 | − | 0.795378i | ||||
\(829\) | 5.36295e14i | 1.36972i | 0.728676 | + | 0.684859i | \(0.240136\pi\) | ||||
−0.728676 | + | 0.684859i | \(0.759864\pi\) | |||||||
\(830\) | 1.30878e14 | − | 5.51822e14i | 0.332258 | − | 1.40091i | ||||
\(831\) | −1.15775e13 | −0.0292152 | ||||||||
\(832\) | 1.85759e14 | + | 1.85759e14i | 0.465943 | + | 0.465943i | ||||
\(833\) | 4.54663e13 | − | 4.54663e13i | 0.113361 | − | 0.113361i | ||||
\(834\) | 8.34552e13i | 0.206834i | ||||||||
\(835\) | 5.28769e14 | − | 3.26033e14i | 1.30267 | − | 0.803209i | ||||
\(836\) | −6.25335e14 | −1.53138 | ||||||||
\(837\) | −2.39674e13 | − | 2.39674e13i | −0.0583436 | − | 0.0583436i | ||||
\(838\) | 3.97538e14 | − | 3.97538e14i | 0.961964 | − | 0.961964i | ||||
\(839\) | − | 5.11610e14i | − | 1.23063i | −0.788280 | − | 0.615317i | \(-0.789028\pi\) | ||
0.788280 | − | 0.615317i | \(-0.210972\pi\) | |||||||
\(840\) | 2.08357e13 | + | 3.37919e13i | 0.0498209 | + | 0.0808009i | ||||
\(841\) | 7.08512e13 | 0.168410 | ||||||||
\(842\) | −2.43564e14 | − | 2.43564e14i | −0.575510 | − | 0.575510i | ||||
\(843\) | 3.25570e13 | − | 3.25570e13i | 0.0764727 | − | 0.0764727i | ||||
\(844\) | 1.82058e14i | 0.425106i | ||||||||
\(845\) | −3.49494e14 | − | 8.28909e13i | −0.811253 | − | 0.192408i | ||||
\(846\) | −5.19431e14 | −1.19860 | ||||||||
\(847\) | −5.60427e14 | − | 5.60427e14i | −1.28559 | − | 1.28559i | ||||
\(848\) | 5.05726e12 | − | 5.05726e12i | 0.0115328 | − | 0.0115328i | ||||
\(849\) | − | 5.17035e13i | − | 0.117215i | ||||||
\(850\) | 1.41222e14 | − | 2.80971e14i | 0.318278 | − | 0.633237i | ||||
\(851\) | −1.12416e14 | −0.251873 | ||||||||
\(852\) | 7.07499e12 | + | 7.07499e12i | 0.0157590 | + | 0.0157590i | ||||
\(853\) | 1.21410e14 | − | 1.21410e14i | 0.268850 | − | 0.268850i | −0.559787 | − | 0.828637i | \(-0.689117\pi\) |
0.828637 | + | 0.559787i | \(0.189117\pi\) | |||||||
\(854\) | − | 4.20905e13i | − | 0.0926605i | ||||||
\(855\) | −6.18401e13 | + | 2.60737e14i | −0.135344 | + | 0.570654i | ||||
\(856\) | 5.34684e14 | 1.16340 | ||||||||
\(857\) | 4.36699e14 | + | 4.36699e14i | 0.944666 | + | 0.944666i | 0.998547 | − | 0.0538810i | \(-0.0171592\pi\) |
−0.0538810 | + | 0.998547i | \(0.517159\pi\) | |||||||
\(858\) | −2.79418e13 | + | 2.79418e13i | −0.0600922 | + | 0.0600922i | ||||
\(859\) | 4.90000e14i | 1.04768i | 0.851816 | + | 0.523841i | \(0.175502\pi\) | ||||
−0.851816 | + | 0.523841i | \(0.824498\pi\) | |||||||
\(860\) | 5.01426e14 | − | 3.09173e14i | 1.06590 | − | 0.657219i | ||||
\(861\) | 5.63843e13 | 0.119163 | ||||||||
\(862\) | −1.03326e14 | − | 1.03326e14i | −0.217107 | − | 0.217107i | ||||
\(863\) | 5.28821e14 | − | 5.28821e14i | 1.10473 | − | 1.10473i | 0.110894 | − | 0.993832i | \(-0.464629\pi\) |
0.993832 | − | 0.110894i | \(-0.0353714\pi\) | |||||||
\(864\) | 7.66010e13i | 0.159098i | ||||||||
\(865\) | 3.16597e14 | + | 5.13467e14i | 0.653772 | + | 1.06031i | ||||
\(866\) | −4.06965e14 | −0.835541 | ||||||||
\(867\) | 2.25479e13 | + | 2.25479e13i | 0.0460268 | + | 0.0460268i | ||||
\(868\) | 3.39761e14 | − | 3.39761e14i | 0.689565 | − | 0.689565i | ||||
\(869\) | 9.86549e14i | 1.99076i | ||||||||
\(870\) | −5.76637e13 | − | 1.36763e13i | −0.115693 | − | 0.0274393i | ||||
\(871\) | 3.86243e13 | 0.0770494 | ||||||||
\(872\) | 5.49234e13 | + | 5.49234e13i | 0.108937 | + | 0.108937i | ||||
\(873\) | 1.31506e13 | − | 1.31506e13i | 0.0259342 | − | 0.0259342i | ||||
\(874\) | − | 3.40144e14i | − | 0.666969i | ||||||
\(875\) | −5.97286e14 | + | 5.19661e13i | −1.16451 | + | 0.101317i | ||||
\(876\) | 8.64620e13 | 0.167612 | ||||||||
\(877\) | −5.69872e14 | − | 5.69872e14i | −1.09845 | − | 1.09845i | −0.994592 | − | 0.103855i | \(-0.966882\pi\) |
−0.103855 | − | 0.994592i | \(-0.533118\pi\) | |||||||
\(878\) | −6.02604e14 | + | 6.02604e14i | −1.15494 | + | 1.15494i | ||||
\(879\) | 5.27346e13i | 0.100497i | ||||||||
\(880\) | −2.09224e12 | + | 8.82153e12i | −0.00396458 | + | 0.0167159i | ||||
\(881\) | −2.09263e14 | −0.394287 | −0.197143 | − | 0.980375i | \(-0.563166\pi\) | ||||
−0.197143 | + | 0.980375i | \(0.563166\pi\) | |||||||
\(882\) | 2.22472e14 | + | 2.22472e14i | 0.416805 | + | 0.416805i | ||||
\(883\) | −9.20423e13 | + | 9.20423e13i | −0.171468 | + | 0.171468i | −0.787624 | − | 0.616156i | \(-0.788689\pi\) |
0.616156 | + | 0.787624i | \(0.288689\pi\) | |||||||
\(884\) | − | 1.56314e14i | − | 0.289558i | ||||||
\(885\) | 1.04149e13 | − | 6.42172e12i | 0.0191840 | − | 0.0118286i | ||||
\(886\) | 4.10299e14 | 0.751505 | ||||||||
\(887\) | −6.09121e14 | − | 6.09121e14i | −1.10939 | − | 1.10939i | −0.993230 | − | 0.116164i | \(-0.962940\pi\) |
−0.116164 | − | 0.993230i | \(-0.537060\pi\) | |||||||
\(888\) | −1.14471e13 | + | 1.14471e13i | −0.0207315 | + | 0.0207315i | ||||
\(889\) | − | 9.09409e13i | − | 0.163776i | ||||||
\(890\) | 2.74435e14 | + | 4.45087e14i | 0.491462 | + | 0.797067i | ||||
\(891\) | 8.80251e14 | 1.56754 | ||||||||
\(892\) | −7.61181e14 | − | 7.61181e14i | −1.34792 | − | 1.34792i | ||||
\(893\) | −1.76579e14 | + | 1.76579e14i | −0.310943 | + | 0.310943i | ||||
\(894\) | − | 1.13819e14i | − | 0.199309i | ||||||
\(895\) | −1.35667e14 | − | 3.21766e13i | −0.236242 | − | 0.0560305i | ||||
\(896\) | −1.09764e15 | −1.90074 | ||||||||
\(897\) | −9.40388e12 | − | 9.40388e12i | −0.0161936 | − | 0.0161936i | ||||
\(898\) | −4.93889e14 | + | 4.93889e14i | −0.845762 | + | 0.845762i | ||||
\(899\) | 2.75290e14i | 0.468805i | ||||||||
\(900\) | 8.50649e14 | + | 4.27554e14i | 1.44058 | + | 0.724066i | ||||
\(901\) | 3.94350e14 | 0.664137 | ||||||||
\(902\) | 1.38402e15 | + | 1.38402e15i | 2.31798 | + | 2.31798i | ||||
\(903\) | −3.08293e13 | + | 3.08293e13i | −0.0513481 | + | 0.0513481i | ||||
\(904\) | − | 3.79533e14i | − | 0.628647i | ||||||
\(905\) | 1.64786e14 | − | 6.94788e14i | 0.271442 | − | 1.14448i | ||||
\(906\) | −3.10511e13 | −0.0508670 | ||||||||
\(907\) | 7.00814e14 | + | 7.00814e14i | 1.14174 | + | 1.14174i | 0.988132 | + | 0.153606i | \(0.0490887\pi\) |
0.153606 | + | 0.988132i | \(0.450911\pi\) | |||||||
\(908\) | −1.99015e14 | + | 1.99015e14i | −0.322445 | + | 0.322445i | ||||
\(909\) | − | 1.01493e15i | − | 1.63538i | ||||||
\(910\) | −4.09991e14 | + | 2.52795e14i | −0.657002 | + | 0.405100i | ||||
\(911\) | 4.90813e14 | 0.782211 | 0.391105 | − | 0.920346i | \(-0.372093\pi\) | ||||
0.391105 | + | 0.920346i | \(0.372093\pi\) | |||||||
\(912\) | −2.27864e11 | − | 2.27864e11i | −0.000361162 | − | 0.000361162i | ||||
\(913\) | −6.37491e14 | + | 6.37491e14i | −1.00489 | + | 1.00489i | ||||
\(914\) | − | 1.14228e15i | − | 1.79077i | ||||||
\(915\) | 1.32652e12 | + | 2.15138e12i | 0.00206827 | + | 0.00335438i | ||||
\(916\) | −8.74113e14 | −1.35547 | ||||||||
\(917\) | −1.10097e13 | − | 1.10097e13i | −0.0169797 | − | 0.0169797i | ||||
\(918\) | 5.24380e13 | − | 5.24380e13i | 0.0804327 | − | 0.0804327i | ||||
\(919\) | − | 7.23898e14i | − | 1.10433i | −0.833734 | − | 0.552166i | \(-0.813801\pi\) | ||
0.833734 | − | 0.552166i | \(-0.186199\pi\) | |||||||
\(920\) | −4.51284e14 | − | 1.07033e14i | −0.684716 | − | 0.162397i | ||||
\(921\) | −9.99063e13 | −0.150763 | ||||||||
\(922\) | 5.69786e14 | + | 5.69786e14i | 0.855179 | + | 0.855179i | ||||
\(923\) | −3.29446e13 | + | 3.29446e13i | −0.0491785 | + | 0.0491785i | ||||
\(924\) | − | 1.64434e14i | − | 0.244135i | ||||||
\(925\) | −7.68266e13 | − | 2.32099e14i | −0.113450 | − | 0.342740i | ||||
\(926\) | 1.97398e15 | 2.89927 | ||||||||
\(927\) | −5.60000e14 | − | 5.60000e14i | −0.818068 | − | 0.818068i | ||||
\(928\) | 4.39921e14 | − | 4.39921e14i | 0.639197 | − | 0.639197i | ||||
\(929\) | 7.27356e14i | 1.05116i | 0.850745 | + | 0.525579i | \(0.176151\pi\) | ||||
−0.850745 | + | 0.525579i | \(0.823849\pi\) | |||||||
\(930\) | −1.07614e13 | + | 4.53737e13i | −0.0154688 | + | 0.0652213i | ||||
\(931\) | 1.51257e14 | 0.216256 | ||||||||
\(932\) | −9.49157e14 | − | 9.49157e14i | −1.34977 | − | 1.34977i | ||||
\(933\) | 4.31594e13 | − | 4.31594e13i | 0.0610474 | − | 0.0610474i | ||||
\(934\) | − | 9.44647e14i | − | 1.32903i | ||||||
\(935\) | −4.25511e14 | + | 2.62365e14i | −0.595460 | + | 0.367153i | ||||
\(936\) | 2.93548e14 | 0.408602 | ||||||||
\(937\) | −6.59549e14 | − | 6.59549e14i | −0.913164 | − | 0.913164i | 0.0833556 | − | 0.996520i | \(-0.473436\pi\) |
−0.996520 | + | 0.0833556i | \(0.973436\pi\) | |||||||
\(938\) | −1.83681e14 | + | 1.83681e14i | −0.252958 | + | 0.252958i | ||||
\(939\) | 6.41659e13i | 0.0878975i | ||||||||
\(940\) | 4.65644e14 | + | 7.55195e14i | 0.634476 | + | 1.02901i | ||||
\(941\) | 3.48623e14 | 0.472507 | 0.236253 | − | 0.971691i | \(-0.424080\pi\) | ||||
0.236253 | + | 0.971691i | \(0.424080\pi\) | |||||||
\(942\) | 5.99950e13 | + | 5.99950e13i | 0.0808837 | + | 0.0808837i | ||||
\(943\) | −4.65796e14 | + | 4.65796e14i | −0.624651 | + | 0.624651i | ||||
\(944\) | − | 2.25530e12i | − | 0.00300846i | ||||||
\(945\) | −1.37571e14 | − | 3.26281e13i | −0.182543 | − | 0.0432945i | ||||
\(946\) | −1.51349e15 | −1.99767 | ||||||||
\(947\) | 1.70857e14 | + | 1.70857e14i | 0.224328 | + | 0.224328i | 0.810318 | − | 0.585990i | \(-0.199294\pi\) |
−0.585990 | + | 0.810318i | \(0.699294\pi\) | |||||||
\(948\) | −8.80930e13 | + | 8.80930e13i | −0.115054 | + | 0.115054i | ||||
\(949\) | 4.02608e14i | 0.523060i | ||||||||
\(950\) | 7.02275e14 | − | 2.32459e14i | 0.907589 | − | 0.300419i | ||||
\(951\) | 7.07924e12 | 0.00910089 | ||||||||
\(952\) | 2.85297e14 | + | 2.85297e14i | 0.364848 | + | 0.364848i | ||||
\(953\) | 9.70810e14 | − | 9.70810e14i | 1.23501 | − | 1.23501i | 0.272991 | − | 0.962017i | \(-0.411987\pi\) |
0.962017 | − | 0.272991i | \(-0.0880129\pi\) | |||||||
\(954\) | 1.92960e15i | 2.44189i | ||||||||
\(955\) | −2.15201e13 | + | 9.07355e13i | −0.0270911 | + | 0.114225i | ||||
\(956\) | 1.04615e14 | 0.131010 | ||||||||
\(957\) | 6.66158e13 | + | 6.66158e13i | 0.0829884 | + | 0.0829884i | ||||
\(958\) | −1.73615e14 | + | 1.73615e14i | −0.215158 | + | 0.215158i | ||||
\(959\) | 1.40976e15i | 1.73801i | ||||||||
\(960\) | 9.03059e13 | − | 5.56815e13i | 0.110754 | − | 0.0682897i | ||||
\(961\) | −6.03011e14 | −0.735713 | ||||||||
\(962\) | −1.38885e14 | − | 1.38885e14i | −0.168570 | − | 0.168570i | ||||
\(963\) | −6.71067e14 | + | 6.71067e14i | −0.810279 | + | 0.810279i | ||||
\(964\) | 1.13194e15i | 1.35969i | ||||||||
\(965\) | −2.30991e12 | − | 3.74628e12i | −0.00276031 | − | 0.00447676i | ||||
\(966\) | 8.94417e13 | 0.106330 | ||||||||
\(967\) | 7.75125e13 | + | 7.75125e13i | 0.0916726 | + | 0.0916726i | 0.751456 | − | 0.659783i | \(-0.229352\pi\) |
−0.659783 | + | 0.751456i | \(0.729352\pi\) | |||||||
\(968\) | 9.42873e14 | − | 9.42873e14i | 1.10937 | − | 1.10937i | ||||
\(969\) | − | 1.77681e13i | − | 0.0207981i | ||||||
\(970\) | −4.99542e13 | − | 1.18478e13i | −0.0581719 | − | 0.0137969i | ||||
\(971\) | −9.14038e14 | −1.05893 | −0.529466 | − | 0.848331i | \(-0.677608\pi\) | ||||
−0.529466 | + | 0.848331i | \(0.677608\pi\) | |||||||
\(972\) | 2.38395e14 | + | 2.38395e14i | 0.274768 | + | 0.274768i | ||||
\(973\) | 1.14345e15 | − | 1.14345e15i | 1.31115 | − | 1.31115i | ||||
\(974\) | − | 8.90984e14i | − | 1.01642i | ||||||
\(975\) | 1.29889e13 | − | 2.58424e13i | 0.0147418 | − | 0.0293298i | ||||
\(976\) | 4.65870e11 | 0.000526037 | ||||||||
\(977\) | 1.38081e14 | + | 1.38081e14i | 0.155117 | + | 0.155117i | 0.780399 | − | 0.625282i | \(-0.215016\pi\) |
−0.625282 | + | 0.780399i | \(0.715016\pi\) | |||||||
\(978\) | 1.99627e13 | − | 1.99627e13i | 0.0223113 | − | 0.0223113i | ||||
\(979\) | − | 8.31226e14i | − | 0.924285i | ||||||
\(980\) | 1.24015e14 | − | 5.22885e14i | 0.137196 | − | 0.578464i | ||||
\(981\) | −1.37866e14 | −0.151744 | ||||||||
\(982\) | −4.70354e14 | − | 4.70354e14i | −0.515072 | − | 0.515072i | ||||
\(983\) | −2.93684e14 | + | 2.93684e14i | −0.319973 | + | 0.319973i | −0.848757 | − | 0.528784i | \(-0.822648\pi\) |
0.528784 | + | 0.848757i | \(0.322648\pi\) | |||||||
\(984\) | 9.48621e13i | 0.102829i | ||||||||
\(985\) | −4.86190e12 | + | 2.99779e12i | −0.00524354 | + | 0.00323310i | ||||
\(986\) | −6.02305e14 | −0.646297 | ||||||||
\(987\) | −4.64318e13 | − | 4.64318e13i | −0.0495712 | − | 0.0495712i | ||||
\(988\) | 2.60012e14 | − | 2.60012e14i | 0.276191 | − | 0.276191i | ||||
\(989\) | − | 5.09367e14i | − | 0.538331i | ||||||
\(990\) | −1.28378e15 | − | 2.08208e15i | −1.34994 | − | 2.18938i | ||||
\(991\) | −4.64216e14 | −0.485681 | −0.242841 | − | 0.970066i | \(-0.578079\pi\) | ||||
−0.242841 | + | 0.970066i | \(0.578079\pi\) | |||||||
\(992\) | −3.46160e14 | − | 3.46160e14i | −0.360345 | − | 0.360345i | ||||
\(993\) | −7.77176e13 | + | 7.77176e13i | −0.0804958 | + | 0.0804958i | ||||
\(994\) | − | 3.13341e14i | − | 0.322912i | ||||||
\(995\) | 1.60701e15 | + | 3.81140e14i | 1.64779 | + | 0.390813i | ||||
\(996\) | −1.13848e14 | −0.116153 | ||||||||
\(997\) | 1.05741e15 | + | 1.05741e15i | 1.07341 | + | 1.07341i | 0.997082 | + | 0.0763320i | \(0.0243209\pi\) |
0.0763320 | + | 0.997082i | \(0.475679\pi\) | |||||||
\(998\) | 1.87554e14 | − | 1.87554e14i | 0.189441 | − | 0.189441i | ||||
\(999\) | − | 5.76553e13i | − | 0.0579444i |
(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 | 5.11.c.a.2.1 | ✓ | 8 | |
3.2 | odd | 2 | 45.11.g.a.37.4 | 8 | |||
4.3 | odd | 2 | 80.11.p.d.17.3 | 8 | |||
5.2 | odd | 4 | 25.11.c.a.18.4 | 8 | |||
5.3 | odd | 4 | inner | 5.11.c.a.3.1 | yes | 8 | |
5.4 | even | 2 | 25.11.c.a.7.4 | 8 | |||
15.8 | even | 4 | 45.11.g.a.28.4 | 8 | |||
20.3 | even | 4 | 80.11.p.d.33.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
5.11.c.a.2.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
5.11.c.a.3.1 | yes | 8 | 5.3 | odd | 4 | inner | |
25.11.c.a.7.4 | 8 | 5.4 | even | 2 | |||
25.11.c.a.18.4 | 8 | 5.2 | odd | 4 | |||
45.11.g.a.28.4 | 8 | 15.8 | even | 4 | |||
45.11.g.a.37.4 | 8 | 3.2 | odd | 2 | |||
80.11.p.d.17.3 | 8 | 4.3 | odd | 2 | |||
80.11.p.d.33.3 | 8 | 20.3 | even | 4 |