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 | 3.2 | ||
Root | \(0.855727i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5.3 |
Dual form | 5.11.c.a.2.2 |
$q$-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 \(\left(\mathbb{Z}/5\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.63382 | + | 4.63382i | −0.144807 | + | 0.144807i | −0.775794 | − | 0.630987i | \(-0.782650\pi\) |
0.630987 | + | 0.775794i | \(0.282650\pi\) | |||||||
\(3\) | 70.6389 | + | 70.6389i | 0.290695 | + | 0.290695i | 0.837355 | − | 0.546660i | \(-0.184101\pi\) |
−0.546660 | + | 0.837355i | \(0.684101\pi\) | |||||||
\(4\) | 981.055i | 0.958062i | ||||||||
\(5\) | 1004.90 | + | 2959.02i | 0.321567 | + | 0.946887i | ||||
\(6\) | −654.656 | −0.0841893 | ||||||||
\(7\) | 2611.74 | − | 2611.74i | 0.155396 | − | 0.155396i | −0.625127 | − | 0.780523i | \(-0.714953\pi\) |
0.780523 | + | 0.625127i | \(0.214953\pi\) | |||||||
\(8\) | −9291.07 | − | 9291.07i | −0.283541 | − | 0.283541i | ||||
\(9\) | − | 49069.3i | − | 0.830993i | ||||||
\(10\) | −18368.1 | − | 9055.08i | −0.183681 | − | 0.0905508i | ||||
\(11\) | 15694.7 | 0.0974520 | 0.0487260 | − | 0.998812i | \(-0.484484\pi\) | ||||
0.0487260 | + | 0.998812i | \(0.484484\pi\) | |||||||
\(12\) | −69300.6 | + | 69300.6i | −0.278504 | + | 0.278504i | ||||
\(13\) | 294351. | + | 294351.i | 0.792774 | + | 0.792774i | 0.981944 | − | 0.189170i | \(-0.0605799\pi\) |
−0.189170 | + | 0.981944i | \(0.560580\pi\) | |||||||
\(14\) | 24204.7i | 0.0450049i | ||||||||
\(15\) | −138037. | + | 280007.i | −0.181777 | + | 0.368733i | ||||
\(16\) | −918494. | −0.875944 | ||||||||
\(17\) | 1.23520e6 | − | 1.23520e6i | 0.869948 | − | 0.869948i | −0.122518 | − | 0.992466i | \(-0.539097\pi\) |
0.992466 | + | 0.122518i | \(0.0390969\pi\) | |||||||
\(18\) | 227379. | + | 227379.i | 0.120334 | + | 0.120334i | ||||
\(19\) | − | 2.66159e6i | − | 1.07491i | −0.843292 | − | 0.537456i | \(-0.819385\pi\) | ||
0.843292 | − | 0.537456i | \(-0.180615\pi\) | |||||||
\(20\) | −2.90296e6 | + | 985859.i | −0.907176 | + | 0.308081i | ||||
\(21\) | 368981. | 0.0903457 | ||||||||
\(22\) | −72726.7 | + | 72726.7i | −0.0141117 | + | 0.0141117i | ||||
\(23\) | 7.36638e6 | + | 7.36638e6i | 1.14450 | + | 1.14450i | 0.987618 | + | 0.156880i | \(0.0501437\pi\) |
0.156880 | + | 0.987618i | \(0.449856\pi\) | |||||||
\(24\) | − | 1.31262e6i | − | 0.164848i | ||||||
\(25\) | −7.74599e6 | + | 5.94702e6i | −0.793190 | + | 0.608975i | ||||
\(26\) | −2.72795e6 | −0.229598 | ||||||||
\(27\) | 7.63735e6 | − | 7.63735e6i | 0.532260 | − | 0.532260i | ||||
\(28\) | 2.56226e6 | + | 2.56226e6i | 0.148879 | + | 0.148879i | ||||
\(29\) | − | 1.66720e7i | − | 0.812824i | −0.913690 | − | 0.406412i | \(-0.866780\pi\) | ||
0.913690 | − | 0.406412i | \(-0.133220\pi\) | |||||||
\(30\) | −657861. | − | 1.93714e6i | −0.0270725 | − | 0.0797178i | ||||
\(31\) | −2.74330e7 | −0.958219 | −0.479109 | − | 0.877755i | \(-0.659040\pi\) | ||||
−0.479109 | + | 0.877755i | \(0.659040\pi\) | |||||||
\(32\) | 1.37702e7 | − | 1.37702e7i | 0.410384 | − | 0.410384i | ||||
\(33\) | 1.10866e6 | + | 1.10866e6i | 0.0283288 | + | 0.0283288i | ||||
\(34\) | 1.14474e7i | 0.251949i | ||||||||
\(35\) | 1.03527e7 | + | 5.10367e6i | 0.197113 | + | 0.0971723i | ||||
\(36\) | 4.81397e7 | 0.796143 | ||||||||
\(37\) | −6.47670e7 | + | 6.47670e7i | −0.933996 | + | 0.933996i | −0.997953 | − | 0.0639563i | \(-0.979628\pi\) |
0.0639563 | + | 0.997953i | \(0.479628\pi\) | |||||||
\(38\) | 1.23333e7 | + | 1.23333e7i | 0.155655 | + | 0.155655i | ||||
\(39\) | 4.15853e7i | 0.460911i | ||||||||
\(40\) | 1.81559e7 | − | 3.68291e7i | 0.177304 | − | 0.359659i | ||||
\(41\) | 5.65192e7 | 0.487839 | 0.243920 | − | 0.969795i | \(-0.421567\pi\) | ||||
0.243920 | + | 0.969795i | \(0.421567\pi\) | |||||||
\(42\) | −1.70979e6 | + | 1.70979e6i | −0.0130827 | + | 0.0130827i | ||||
\(43\) | −1.85471e8 | − | 1.85471e8i | −1.26163 | − | 1.26163i | −0.950300 | − | 0.311335i | \(-0.899224\pi\) |
−0.311335 | − | 0.950300i | \(-0.600776\pi\) | |||||||
\(44\) | 1.53974e7i | 0.0933651i | ||||||||
\(45\) | 1.45197e8 | − | 4.93095e7i | 0.786856 | − | 0.267220i | ||||
\(46\) | −6.82690e7 | −0.331463 | ||||||||
\(47\) | 6.69481e7 | − | 6.69481e7i | 0.291910 | − | 0.291910i | −0.545924 | − | 0.837834i | \(-0.683821\pi\) |
0.837834 | + | 0.545924i | \(0.183821\pi\) | |||||||
\(48\) | −6.48814e7 | − | 6.48814e7i | −0.254633 | − | 0.254633i | ||||
\(49\) | 2.68833e8i | 0.951704i | ||||||||
\(50\) | 8.33614e6 | − | 6.34510e7i | 0.0266756 | − | 0.203043i | ||||
\(51\) | 1.74507e8 | 0.505779 | ||||||||
\(52\) | −2.88775e8 | + | 2.88775e8i | −0.759526 | + | 0.759526i | ||||
\(53\) | 1.86243e8 | + | 1.86243e8i | 0.445349 | + | 0.445349i | 0.893805 | − | 0.448456i | \(-0.148026\pi\) |
−0.448456 | + | 0.893805i | \(0.648026\pi\) | |||||||
\(54\) | 7.07803e7i | 0.154150i | ||||||||
\(55\) | 1.57716e7 | + | 4.64411e7i | 0.0313373 | + | 0.0922761i | ||||
\(56\) | −4.85318e7 | −0.0881224 | ||||||||
\(57\) | 1.88012e8 | − | 1.88012e8i | 0.312471 | − | 0.312471i | ||||
\(58\) | 7.72550e7 | + | 7.72550e7i | 0.117703 | + | 0.117703i | ||||
\(59\) | − | 7.53831e8i | − | 1.05442i | −0.849735 | − | 0.527210i | \(-0.823238\pi\) | ||
0.849735 | − | 0.527210i | \(-0.176762\pi\) | |||||||
\(60\) | −2.74702e8 | − | 1.35422e8i | −0.353269 | − | 0.174154i | ||||
\(61\) | −3.22219e8 | −0.381507 | −0.190753 | − | 0.981638i | \(-0.561093\pi\) | ||||
−0.190753 | + | 0.981638i | \(0.561093\pi\) | |||||||
\(62\) | 1.27120e8 | − | 1.27120e8i | 0.138757 | − | 0.138757i | ||||
\(63\) | −1.28156e8 | − | 1.28156e8i | −0.129133 | − | 0.129133i | ||||
\(64\) | − | 8.12921e8i | − | 0.757091i | ||||||
\(65\) | −5.75200e8 | + | 1.16678e9i | −0.495738 | + | 1.00560i | ||||
\(66\) | −1.02747e7 | −0.00820442 | ||||||||
\(67\) | 9.46635e8 | − | 9.46635e8i | 0.701146 | − | 0.701146i | −0.263510 | − | 0.964657i | \(-0.584880\pi\) |
0.964657 | + | 0.263510i | \(0.0848803\pi\) | |||||||
\(68\) | 1.21180e9 | + | 1.21180e9i | 0.833464 | + | 0.833464i | ||||
\(69\) | 1.04071e9i | 0.665399i | ||||||||
\(70\) | −7.16223e7 | + | 2.43232e7i | −0.0426145 | + | 0.0144721i | ||||
\(71\) | −1.70508e9 | −0.945043 | −0.472522 | − | 0.881319i | \(-0.656656\pi\) | ||||
−0.472522 | + | 0.881319i | \(0.656656\pi\) | |||||||
\(72\) | −4.55907e8 | + | 4.55907e8i | −0.235621 | + | 0.235621i | ||||
\(73\) | 8.54176e8 | + | 8.54176e8i | 0.412034 | + | 0.412034i | 0.882447 | − | 0.470413i | \(-0.155895\pi\) |
−0.470413 | + | 0.882447i | \(0.655895\pi\) | |||||||
\(74\) | − | 6.00238e8i | − | 0.270498i | ||||||
\(75\) | −9.67259e8 | − | 1.27078e8i | −0.407602 | − | 0.0535504i | ||||
\(76\) | 2.61117e9 | 1.02983 | ||||||||
\(77\) | 4.09906e7 | − | 4.09906e7i | 0.0151437 | − | 0.0151437i | ||||
\(78\) | −1.92699e8 | − | 1.92699e8i | −0.0667431 | − | 0.0667431i | ||||
\(79\) | − | 1.15355e9i | − | 0.374888i | −0.982275 | − | 0.187444i | \(-0.939980\pi\) | ||
0.982275 | − | 0.187444i | \(-0.0600203\pi\) | |||||||
\(80\) | −9.22991e8 | − | 2.71784e9i | −0.281675 | − | 0.829420i | ||||
\(81\) | −1.81851e9 | −0.521542 | ||||||||
\(82\) | −2.61900e8 | + | 2.61900e8i | −0.0706426 | + | 0.0706426i | ||||
\(83\) | −3.46702e9 | − | 3.46702e9i | −0.880167 | − | 0.880167i | 0.113384 | − | 0.993551i | \(-0.463831\pi\) |
−0.993551 | + | 0.113384i | \(0.963831\pi\) | |||||||
\(84\) | 3.61991e8i | 0.0865568i | ||||||||
\(85\) | 4.89624e9 | + | 2.41374e9i | 1.10349 | + | 0.543996i | ||||
\(86\) | 1.71888e9 | 0.365387 | ||||||||
\(87\) | 1.17769e9 | − | 1.17769e9i | 0.236284 | − | 0.236284i | ||||
\(88\) | −1.45821e8 | − | 1.45821e8i | −0.0276317 | − | 0.0276317i | ||||
\(89\) | 6.69639e9i | 1.19920i | 0.800301 | + | 0.599599i | \(0.204673\pi\) | ||||
−0.800301 | + | 0.599599i | \(0.795327\pi\) | |||||||
\(90\) | −4.44326e8 | + | 9.01310e8i | −0.0752470 | + | 0.152638i | ||||
\(91\) | 1.53754e9 | 0.246388 | ||||||||
\(92\) | −7.22683e9 | + | 7.22683e9i | −1.09650 | + | 1.09650i | ||||
\(93\) | −1.93784e9 | − | 1.93784e9i | −0.278549 | − | 0.278549i | ||||
\(94\) | 6.20452e8i | 0.0845413i | ||||||||
\(95\) | 7.87570e9 | − | 2.67462e9i | 1.01782 | − | 0.345656i | ||||
\(96\) | 1.94542e9 | 0.238593 | ||||||||
\(97\) | 1.86215e9 | − | 1.86215e9i | 0.216849 | − | 0.216849i | −0.590320 | − | 0.807169i | \(-0.700999\pi\) |
0.807169 | + | 0.590320i | \(0.200999\pi\) | |||||||
\(98\) | −1.24572e9 | − | 1.24572e9i | −0.137813 | − | 0.137813i | ||||
\(99\) | − | 7.70130e8i | − | 0.0809820i | ||||||
\(100\) | −5.83435e9 | − | 7.59925e9i | −0.583435 | − | 0.759925i | ||||
\(101\) | −2.20341e7 | −0.00209647 | −0.00104824 | − | 0.999999i | \(-0.500334\pi\) | ||||
−0.00104824 | + | 0.999999i | \(0.500334\pi\) | |||||||
\(102\) | −8.08633e8 | + | 8.08633e8i | −0.0732403 | + | 0.0732403i | ||||
\(103\) | −4.11705e9 | − | 4.11705e9i | −0.355141 | − | 0.355141i | 0.506877 | − | 0.862018i | \(-0.330800\pi\) |
−0.862018 | + | 0.506877i | \(0.830800\pi\) | |||||||
\(104\) | − | 5.46968e9i | − | 0.449568i | ||||||
\(105\) | 3.70787e8 | + | 1.09182e9i | 0.0290522 | + | 0.0855472i | ||||
\(106\) | −1.72603e9 | −0.128979 | ||||||||
\(107\) | 4.55710e9 | − | 4.55710e9i | 0.324915 | − | 0.324915i | −0.525734 | − | 0.850649i | \(-0.676209\pi\) |
0.850649 | + | 0.525734i | \(0.176209\pi\) | |||||||
\(108\) | 7.49267e9 | + | 7.49267e9i | 0.509938 | + | 0.509938i | ||||
\(109\) | 4.51896e9i | 0.293701i | 0.989159 | + | 0.146851i | \(0.0469137\pi\) | ||||
−0.989159 | + | 0.146851i | \(0.953086\pi\) | |||||||
\(110\) | −2.88283e8 | − | 1.42117e8i | −0.0179001 | − | 0.00882436i | ||||
\(111\) | −9.15013e9 | −0.543016 | ||||||||
\(112\) | −2.39887e9 | + | 2.39887e9i | −0.136118 | + | 0.136118i | ||||
\(113\) | 6.46147e9 | + | 6.46147e9i | 0.350703 | + | 0.350703i | 0.860371 | − | 0.509668i | \(-0.170232\pi\) |
−0.509668 | + | 0.860371i | \(0.670232\pi\) | |||||||
\(114\) | 1.74243e9i | 0.0904961i | ||||||||
\(115\) | −1.43948e10 | + | 2.91997e10i | −0.715678 | + | 1.45174i | ||||
\(116\) | 1.63561e10 | 0.778736 | ||||||||
\(117\) | 1.44436e10 | − | 1.44436e10i | 0.658789 | − | 0.658789i | ||||
\(118\) | 3.49312e9 | + | 3.49312e9i | 0.152687 | + | 0.152687i | ||||
\(119\) | − | 6.45206e9i | − | 0.270373i | ||||||
\(120\) | 3.88408e9 | − | 1.31905e9i | 0.156092 | − | 0.0530096i | ||||
\(121\) | −2.56911e10 | −0.990503 | ||||||||
\(122\) | 1.49311e9 | − | 1.49311e9i | 0.0552448 | − | 0.0552448i | ||||
\(123\) | 3.99245e9 | + | 3.99245e9i | 0.141812 | + | 0.141812i | ||||
\(124\) | − | 2.69133e10i | − | 0.918033i | ||||||
\(125\) | −2.53813e10 | − | 1.69444e10i | −0.831693 | − | 0.555235i | ||||
\(126\) | 1.18771e9 | 0.0373987 | ||||||||
\(127\) | −3.05294e9 | + | 3.05294e9i | −0.0924060 | + | 0.0924060i | −0.751799 | − | 0.659393i | \(-0.770813\pi\) |
0.659393 | + | 0.751799i | \(0.270813\pi\) | |||||||
\(128\) | 1.78676e10 | + | 1.78676e10i | 0.520016 | + | 0.520016i | ||||
\(129\) | − | 2.62029e10i | − | 0.733502i | ||||||
\(130\) | −2.74130e9 | − | 8.07205e9i | −0.0738312 | − | 0.217404i | ||||
\(131\) | 1.32702e10 | 0.343971 | 0.171986 | − | 0.985099i | \(-0.444982\pi\) | ||||
0.171986 | + | 0.985099i | \(0.444982\pi\) | |||||||
\(132\) | −1.08766e9 | + | 1.08766e9i | −0.0271407 | + | 0.0271407i | ||||
\(133\) | −6.95138e9 | − | 6.95138e9i | −0.167037 | − | 0.167037i | ||||
\(134\) | 8.77308e9i | 0.203062i | ||||||||
\(135\) | 3.02738e10 | + | 1.49243e10i | 0.675147 | + | 0.332833i | ||||
\(136\) | −2.29527e10 | −0.493332 | ||||||||
\(137\) | −6.77863e9 | + | 6.77863e9i | −0.140456 | + | 0.140456i | −0.773839 | − | 0.633383i | \(-0.781666\pi\) |
0.633383 | + | 0.773839i | \(0.281666\pi\) | |||||||
\(138\) | −4.82245e9 | − | 4.82245e9i | −0.0963545 | − | 0.0963545i | ||||
\(139\) | 6.78011e10i | 1.30666i | 0.757073 | + | 0.653330i | \(0.226629\pi\) | ||||
−0.757073 | + | 0.653330i | \(0.773371\pi\) | |||||||
\(140\) | −5.00699e9 | + | 1.01566e10i | −0.0930971 | + | 0.188846i | ||||
\(141\) | 9.45828e9 | 0.169714 | ||||||||
\(142\) | 7.90102e9 | − | 7.90102e9i | 0.136849 | − | 0.136849i | ||||
\(143\) | 4.61977e9 | + | 4.61977e9i | 0.0772574 | + | 0.0772574i | ||||
\(144\) | 4.50699e10i | 0.727904i | ||||||||
\(145\) | 4.93327e10 | − | 1.67536e10i | 0.769653 | − | 0.261377i | ||||
\(146\) | −7.91620e9 | −0.119331 | ||||||||
\(147\) | −1.89900e10 | + | 1.89900e10i | −0.276655 | + | 0.276655i | ||||
\(148\) | −6.35400e10 | − | 6.35400e10i | −0.894826 | − | 0.894826i | ||||
\(149\) | − | 5.59484e10i | − | 0.761827i | −0.924611 | − | 0.380913i | \(-0.875610\pi\) | ||
0.924611 | − | 0.380913i | \(-0.124390\pi\) | |||||||
\(150\) | 5.07096e9 | − | 3.89325e9i | 0.0667781 | − | 0.0512692i | ||||
\(151\) | 1.02237e11 | 1.30233 | 0.651167 | − | 0.758934i | \(-0.274280\pi\) | ||||
0.651167 | + | 0.758934i | \(0.274280\pi\) | |||||||
\(152\) | −2.47290e10 | + | 2.47290e10i | −0.304782 | + | 0.304782i | ||||
\(153\) | −6.06105e10 | − | 6.06105e10i | −0.722921 | − | 0.722921i | ||||
\(154\) | 3.79887e8i | 0.00438582i | ||||||||
\(155\) | −2.75673e10 | − | 8.11748e10i | −0.308131 | − | 0.907325i | ||||
\(156\) | −4.07975e10 | −0.441581 | ||||||||
\(157\) | −1.18836e9 | + | 1.18836e9i | −0.0124580 | + | 0.0124580i | −0.713308 | − | 0.700850i | \(-0.752804\pi\) |
0.700850 | + | 0.713308i | \(0.252804\pi\) | |||||||
\(158\) | 5.34535e9 | + | 5.34535e9i | 0.0542864 | + | 0.0542864i | ||||
\(159\) | 2.63120e10i | 0.258921i | ||||||||
\(160\) | 5.45839e10 | + | 2.69087e10i | 0.520553 | + | 0.256621i | ||||
\(161\) | 3.84782e10 | 0.355701 | ||||||||
\(162\) | 8.42664e9 | − | 8.42664e9i | 0.0755230 | − | 0.0755230i | ||||
\(163\) | 4.34968e10 | + | 4.34968e10i | 0.378024 | + | 0.378024i | 0.870389 | − | 0.492365i | \(-0.163867\pi\) |
−0.492365 | + | 0.870389i | \(0.663867\pi\) | |||||||
\(164\) | 5.54485e10i | 0.467380i | ||||||||
\(165\) | −2.16646e9 | + | 4.39463e9i | −0.0177146 | + | 0.0359338i | ||||
\(166\) | 3.21311e10 | 0.254909 | ||||||||
\(167\) | −1.31695e11 | + | 1.31695e11i | −1.01388 | + | 1.01388i | −0.0139823 | + | 0.999902i | \(0.504451\pi\) |
−0.999902 | + | 0.0139823i | \(0.995549\pi\) | |||||||
\(168\) | −3.42823e9 | − | 3.42823e9i | −0.0256167 | − | 0.0256167i | ||||
\(169\) | 3.54270e10i | 0.256981i | ||||||||
\(170\) | −3.38732e10 | + | 1.15035e10i | −0.238567 | + | 0.0810185i | ||||
\(171\) | −1.30602e11 | −0.893245 | ||||||||
\(172\) | 1.81957e11 | − | 1.81957e11i | 1.20872 | − | 1.20872i | ||||
\(173\) | 1.11305e11 | + | 1.11305e11i | 0.718267 | + | 0.718267i | 0.968250 | − | 0.249983i | \(-0.0804252\pi\) |
−0.249983 | + | 0.968250i | \(0.580425\pi\) | |||||||
\(174\) | 1.09144e10i | 0.0684311i | ||||||||
\(175\) | −4.69846e9 | + | 3.57626e10i | −0.0286263 | + | 0.217891i | ||||
\(176\) | −1.44155e10 | −0.0853626 | ||||||||
\(177\) | 5.32497e10 | − | 5.32497e10i | 0.306515 | − | 0.306515i | ||||
\(178\) | −3.10299e10 | − | 3.10299e10i | −0.173652 | − | 0.173652i | ||||
\(179\) | − | 2.45459e11i | − | 1.33572i | −0.744289 | − | 0.667858i | \(-0.767211\pi\) | ||
0.744289 | − | 0.667858i | \(-0.232789\pi\) | |||||||
\(180\) | 4.83754e10 | + | 1.42446e11i | 0.256013 | + | 0.753857i | ||||
\(181\) | −1.52111e11 | −0.783009 | −0.391504 | − | 0.920176i | \(-0.628045\pi\) | ||||
−0.391504 | + | 0.920176i | \(0.628045\pi\) | |||||||
\(182\) | −7.12469e9 | + | 7.12469e9i | −0.0356787 | + | 0.0356787i | ||||
\(183\) | −2.27612e10 | − | 2.27612e10i | −0.110902 | − | 0.110902i | ||||
\(184\) | − | 1.36883e11i | − | 0.649024i | ||||||
\(185\) | −2.56731e11 | − | 1.26563e11i | −1.18473 | − | 0.584047i | ||||
\(186\) | 1.79592e10 | 0.0806718 | ||||||||
\(187\) | 1.93862e10 | − | 1.93862e10i | 0.0847782 | − | 0.0847782i | ||||
\(188\) | 6.56798e10 | + | 6.56798e10i | 0.279668 | + | 0.279668i | ||||
\(189\) | − | 3.98936e10i | − | 0.165422i | ||||||
\(190\) | −2.41009e10 | + | 4.88883e10i | −0.0973341 | + | 0.197441i | ||||
\(191\) | 3.04332e11 | 1.19724 | 0.598619 | − | 0.801034i | \(-0.295716\pi\) | ||||
0.598619 | + | 0.801034i | \(0.295716\pi\) | |||||||
\(192\) | 5.74238e10 | − | 5.74238e10i | 0.220083 | − | 0.220083i | ||||
\(193\) | 2.42004e11 | + | 2.42004e11i | 0.903726 | + | 0.903726i | 0.995756 | − | 0.0920301i | \(-0.0293356\pi\) |
−0.0920301 | + | 0.995756i | \(0.529336\pi\) | |||||||
\(194\) | 1.72578e10i | 0.0628024i | ||||||||
\(195\) | −1.23052e11 | + | 4.17889e10i | −0.436430 | + | 0.148213i | ||||
\(196\) | −2.63740e11 | −0.911791 | ||||||||
\(197\) | −1.95726e11 | + | 1.95726e11i | −0.659655 | + | 0.659655i | −0.955298 | − | 0.295643i | \(-0.904466\pi\) |
0.295643 | + | 0.955298i | \(0.404466\pi\) | |||||||
\(198\) | 3.56865e9 | + | 3.56865e9i | 0.0117268 | + | 0.0117268i | ||||
\(199\) | 1.32708e11i | 0.425238i | 0.977135 | + | 0.212619i | \(0.0681993\pi\) | ||||
−0.977135 | + | 0.212619i | \(0.931801\pi\) | |||||||
\(200\) | 1.27223e11 | + | 1.67144e10i | 0.397571 | + | 0.0522326i | ||||
\(201\) | 1.33738e11 | 0.407639 | ||||||||
\(202\) | 1.02102e8 | − | 1.02102e8i | 0.000303584 | − | 0.000303584i | ||||
\(203\) | −4.35429e10 | − | 4.35429e10i | −0.126310 | − | 0.126310i | ||||
\(204\) | 1.71201e11i | 0.484568i | ||||||||
\(205\) | 5.67959e10 | + | 1.67242e11i | 0.156873 | + | 0.461929i | ||||
\(206\) | 3.81554e10 | 0.102854 | ||||||||
\(207\) | 3.61463e11 | − | 3.61463e11i | 0.951070 | − | 0.951070i | ||||
\(208\) | −2.70360e11 | − | 2.70360e11i | −0.694426 | − | 0.694426i | ||||
\(209\) | − | 4.17730e10i | − | 0.104752i | ||||||
\(210\) | −6.77748e9 | − | 3.34115e9i | −0.0165948 | − | 0.00818087i | ||||
\(211\) | −2.87300e11 | −0.686948 | −0.343474 | − | 0.939162i | \(-0.611604\pi\) | ||||
−0.343474 | + | 0.939162i | \(0.611604\pi\) | |||||||
\(212\) | −1.82715e11 | + | 1.82715e11i | −0.426672 | + | 0.426672i | ||||
\(213\) | −1.20445e11 | − | 1.20445e11i | −0.274719 | − | 0.274719i | ||||
\(214\) | 4.22336e10i | 0.0940999i | ||||||||
\(215\) | 3.62434e11 | − | 7.35192e11i | 0.788926 | − | 1.60033i | ||||
\(216\) | −1.41918e11 | −0.301835 | ||||||||
\(217\) | −7.16479e10 | + | 7.16479e10i | −0.148903 | + | 0.148903i | ||||
\(218\) | −2.09401e10 | − | 2.09401e10i | −0.0425300 | − | 0.0425300i | ||||
\(219\) | 1.20676e11i | 0.239552i | ||||||||
\(220\) | −4.55613e10 | + | 1.54728e10i | −0.0884062 | + | 0.0300231i | ||||
\(221\) | 7.27167e11 | 1.37934 | ||||||||
\(222\) | 4.24001e10 | − | 4.24001e10i | 0.0786325 | − | 0.0786325i | ||||
\(223\) | −4.39899e11 | − | 4.39899e11i | −0.797680 | − | 0.797680i | 0.185049 | − | 0.982729i | \(-0.440755\pi\) |
−0.982729 | + | 0.185049i | \(0.940755\pi\) | |||||||
\(224\) | − | 7.19284e10i | − | 0.127544i | ||||||
\(225\) | 2.91816e11 | + | 3.80091e11i | 0.506054 | + | 0.659135i | ||||
\(226\) | −5.98827e10 | −0.101568 | ||||||||
\(227\) | −6.77659e11 | + | 6.77659e11i | −1.12430 | + | 1.12430i | −0.133211 | + | 0.991088i | \(0.542529\pi\) |
−0.991088 | + | 0.133211i | \(0.957471\pi\) | |||||||
\(228\) | 1.84450e11 | + | 1.84450e11i | 0.299367 | + | 0.299367i | ||||
\(229\) | 4.76659e11i | 0.756887i | 0.925624 | + | 0.378443i | \(0.123540\pi\) | ||||
−0.925624 | + | 0.378443i | \(0.876460\pi\) | |||||||
\(230\) | −6.86033e10 | − | 2.02010e11i | −0.106587 | − | 0.313858i | ||||
\(231\) | 5.79106e9 | 0.00880437 | ||||||||
\(232\) | −1.54900e11 | + | 1.54900e11i | −0.230469 | + | 0.230469i | ||||
\(233\) | 2.19919e11 | + | 2.19919e11i | 0.320246 | + | 0.320246i | 0.848862 | − | 0.528615i | \(-0.177289\pi\) |
−0.528615 | + | 0.848862i | \(0.677289\pi\) | |||||||
\(234\) | 1.33858e11i | 0.190795i | ||||||||
\(235\) | 2.65377e11 | + | 1.30825e11i | 0.370275 | + | 0.182537i | ||||
\(236\) | 7.39550e11 | 1.01020 | ||||||||
\(237\) | 8.14855e10 | − | 8.14855e10i | 0.108978 | − | 0.108978i | ||||
\(238\) | 2.98977e10 | + | 2.98977e10i | 0.0391519 | + | 0.0391519i | ||||
\(239\) | − | 1.40281e11i | − | 0.179891i | −0.995947 | − | 0.0899454i | \(-0.971331\pi\) | ||
0.995947 | − | 0.0899454i | \(-0.0286692\pi\) | |||||||
\(240\) | 1.26786e11 | − | 2.57184e11i | 0.159227 | − | 0.322990i | ||||
\(241\) | −7.40125e11 | −0.910374 | −0.455187 | − | 0.890396i | \(-0.650428\pi\) | ||||
−0.455187 | + | 0.890396i | \(0.650428\pi\) | |||||||
\(242\) | 1.19048e11 | − | 1.19048e11i | 0.143432 | − | 0.143432i | ||||
\(243\) | −5.79435e11 | − | 5.79435e11i | −0.683870 | − | 0.683870i | ||||
\(244\) | − | 3.16115e11i | − | 0.365507i | ||||||
\(245\) | −7.95482e11 | + | 2.70149e11i | −0.901156 | + | 0.306036i | ||||
\(246\) | −3.70006e10 | −0.0410709 | ||||||||
\(247\) | 7.83442e11 | − | 7.83442e11i | 0.852162 | − | 0.852162i | ||||
\(248\) | 2.54882e11 | + | 2.54882e11i | 0.271694 | + | 0.271694i | ||||
\(249\) | − | 4.89812e11i | − | 0.511720i | ||||||
\(250\) | 1.96130e11 | − | 3.90949e10i | 0.200837 | − | 0.0400331i | ||||
\(251\) | −9.97549e11 | −1.00130 | −0.500652 | − | 0.865649i | \(-0.666906\pi\) | ||||
−0.500652 | + | 0.865649i | \(0.666906\pi\) | |||||||
\(252\) | 1.25728e11 | − | 1.25728e11i | 0.123717 | − | 0.123717i | ||||
\(253\) | 1.15613e11 | + | 1.15613e11i | 0.111534 | + | 0.111534i | ||||
\(254\) | − | 2.82936e10i | − | 0.0267621i | ||||||
\(255\) | 1.75361e11 | + | 5.16369e11i | 0.162642 | + | 0.478915i | ||||
\(256\) | 6.66840e11 | 0.606487 | ||||||||
\(257\) | 4.29300e11 | − | 4.29300e11i | 0.382909 | − | 0.382909i | −0.489240 | − | 0.872149i | \(-0.662726\pi\) |
0.872149 | + | 0.489240i | \(0.162726\pi\) | |||||||
\(258\) | 1.21420e11 | + | 1.21420e11i | 0.106216 | + | 0.106216i | ||||
\(259\) | 3.38309e11i | 0.290279i | ||||||||
\(260\) | −1.14468e12 | − | 5.64303e11i | −0.963424 | − | 0.474947i | ||||
\(261\) | −8.18082e11 | −0.675451 | ||||||||
\(262\) | −6.14919e10 | + | 6.14919e10i | −0.0498094 | + | 0.0498094i | ||||
\(263\) | 1.26771e12 | + | 1.26771e12i | 1.00749 | + | 1.00749i | 0.999972 | + | 0.00751567i | \(0.00239233\pi\) |
0.00751567 | + | 0.999972i | \(0.497608\pi\) | |||||||
\(264\) | − | 2.06013e10i | − | 0.0160648i | ||||||
\(265\) | −3.63942e11 | + | 7.38251e11i | −0.278486 | + | 0.564904i | ||||
\(266\) | 6.44230e10 | 0.0483763 | ||||||||
\(267\) | −4.73026e11 | + | 4.73026e11i | −0.348601 | + | 0.348601i | ||||
\(268\) | 9.28701e11 | + | 9.28701e11i | 0.671741 | + | 0.671741i | ||||
\(269\) | − | 1.33804e12i | − | 0.949966i | −0.879995 | − | 0.474983i | \(-0.842454\pi\) | ||
0.879995 | − | 0.474983i | \(-0.157546\pi\) | |||||||
\(270\) | −2.09440e11 | + | 7.11268e10i | −0.145963 | + | 0.0495695i | ||||
\(271\) | 1.64105e12 | 1.12273 | 0.561364 | − | 0.827569i | \(-0.310277\pi\) | ||||
0.561364 | + | 0.827569i | \(0.310277\pi\) | |||||||
\(272\) | −1.13453e12 | + | 1.13453e12i | −0.762026 | + | 0.762026i | ||||
\(273\) | 1.08610e11 | + | 1.08610e11i | 0.0716237 | + | 0.0716237i | ||||
\(274\) | − | 6.28219e10i | − | 0.0406779i | ||||||
\(275\) | −1.21571e11 | + | 9.33369e10i | −0.0772979 | + | 0.0593458i | ||||
\(276\) | −1.02099e12 | −0.637494 | ||||||||
\(277\) | 1.88551e12 | − | 1.88551e12i | 1.15619 | − | 1.15619i | 0.170905 | − | 0.985287i | \(-0.445331\pi\) |
0.985287 | − | 0.170905i | \(-0.0546692\pi\) | |||||||
\(278\) | −3.14178e11 | − | 3.14178e11i | −0.189213 | − | 0.189213i | ||||
\(279\) | 1.34612e12i | 0.796273i | ||||||||
\(280\) | −4.87694e10 | − | 1.43607e11i | −0.0283372 | − | 0.0834419i | ||||
\(281\) | −8.00428e11 | −0.456868 | −0.228434 | − | 0.973559i | \(-0.573360\pi\) | ||||
−0.228434 | + | 0.973559i | \(0.573360\pi\) | |||||||
\(282\) | −4.38280e10 | + | 4.38280e10i | −0.0245757 | + | 0.0245757i | ||||
\(283\) | −1.51030e12 | − | 1.51030e12i | −0.832013 | − | 0.832013i | 0.155779 | − | 0.987792i | \(-0.450211\pi\) |
−0.987792 | + | 0.155779i | \(0.950211\pi\) | |||||||
\(284\) | − | 1.67277e12i | − | 0.905410i | ||||||
\(285\) | 7.45262e11 | + | 3.67398e11i | 0.396356 | + | 0.195395i | ||||
\(286\) | −4.28144e10 | −0.0223748 | ||||||||
\(287\) | 1.47614e11 | − | 1.47614e11i | 0.0758083 | − | 0.0758083i | ||||
\(288\) | −6.75694e11 | − | 6.75694e11i | −0.341026 | − | 0.341026i | ||||
\(289\) | − | 1.03545e12i | − | 0.513620i | ||||||
\(290\) | −1.50966e11 | + | 3.06232e11i | −0.0736019 | + | 0.149300i | ||||
\(291\) | 2.63081e11 | 0.126074 | ||||||||
\(292\) | −8.37993e11 | + | 8.37993e11i | −0.394754 | + | 0.394754i | ||||
\(293\) | −2.02228e11 | − | 2.02228e11i | −0.0936489 | − | 0.0936489i | 0.658730 | − | 0.752379i | \(-0.271094\pi\) |
−0.752379 | + | 0.658730i | \(0.771094\pi\) | |||||||
\(294\) | − | 1.75993e11i | − | 0.0801233i | ||||||
\(295\) | 2.23060e12 | − | 7.57521e11i | 0.998417 | − | 0.339066i | ||||
\(296\) | 1.20351e12 | 0.529653 | ||||||||
\(297\) | 1.19866e11 | − | 1.19866e11i | 0.0518698 | − | 0.0518698i | ||||
\(298\) | 2.59255e11 | + | 2.59255e11i | 0.110318 | + | 0.110318i | ||||
\(299\) | 4.33661e12i | 1.81466i | ||||||||
\(300\) | 1.24670e11 | − | 9.48934e11i | 0.0513046 | − | 0.390508i | ||||
\(301\) | −9.68805e11 | −0.392106 | ||||||||
\(302\) | −4.73747e11 | + | 4.73747e11i | −0.188587 | + | 0.188587i | ||||
\(303\) | −1.55647e9 | − | 1.55647e9i | −0.000609433 | − | 0.000609433i | ||||
\(304\) | 2.44465e12i | 0.941563i | ||||||||
\(305\) | −3.23797e11 | − | 9.53453e11i | −0.122680 | − | 0.361244i | ||||
\(306\) | 5.61717e11 | 0.209368 | ||||||||
\(307\) | −2.37230e12 | + | 2.37230e12i | −0.869915 | + | 0.869915i | −0.992463 | − | 0.122548i | \(-0.960894\pi\) |
0.122548 | + | 0.992463i | \(0.460894\pi\) | |||||||
\(308\) | 4.02141e10 | + | 4.02141e10i | 0.0145086 | + | 0.0145086i | ||||
\(309\) | − | 5.81648e11i | − | 0.206475i | ||||||
\(310\) | 5.03892e11 | + | 2.48408e11i | 0.176007 | + | 0.0867675i | ||||
\(311\) | 1.53573e12 | 0.527853 | 0.263926 | − | 0.964543i | \(-0.414982\pi\) | ||||
0.263926 | + | 0.964543i | \(0.414982\pi\) | |||||||
\(312\) | 3.86372e11 | − | 3.86372e11i | 0.130687 | − | 0.130687i | ||||
\(313\) | −8.40022e11 | − | 8.40022e11i | −0.279621 | − | 0.279621i | 0.553337 | − | 0.832958i | \(-0.313354\pi\) |
−0.832958 | + | 0.553337i | \(0.813354\pi\) | |||||||
\(314\) | − | 1.10133e10i | − | 0.00360801i | ||||||
\(315\) | 2.50434e11 | − | 5.08001e11i | 0.0807495 | − | 0.163799i | ||||
\(316\) | 1.13170e12 | 0.359166 | ||||||||
\(317\) | 3.01880e11 | − | 3.01880e11i | 0.0943057 | − | 0.0943057i | −0.658380 | − | 0.752686i | \(-0.728758\pi\) |
0.752686 | + | 0.658380i | \(0.228758\pi\) | |||||||
\(318\) | −1.21925e11 | − | 1.21925e11i | −0.0374936 | − | 0.0374936i | ||||
\(319\) | − | 2.61662e11i | − | 0.0792114i | ||||||
\(320\) | 2.40545e12 | − | 8.16901e11i | 0.716880 | − | 0.243455i | ||||
\(321\) | 6.43817e11 | 0.188902 | ||||||||
\(322\) | −1.78301e11 | + | 1.78301e11i | −0.0515080 | + | 0.0515080i | ||||
\(323\) | −3.28760e12 | − | 3.28760e12i | −0.935118 | − | 0.935118i | ||||
\(324\) | − | 1.78405e12i | − | 0.499670i | ||||||
\(325\) | −4.03056e12 | − | 5.29531e11i | −1.11160 | − | 0.146041i | ||||
\(326\) | −4.03113e11 | −0.109481 | ||||||||
\(327\) | −3.19214e11 | + | 3.19214e11i | −0.0853775 | + | 0.0853775i | ||||
\(328\) | −5.25124e11 | − | 5.25124e11i | −0.138322 | − | 0.138322i | ||||
\(329\) | − | 3.49703e11i | − | 0.0907234i | ||||||
\(330\) | −1.03250e10 | − | 3.04029e10i | −0.00263827 | − | 0.00776866i | ||||
\(331\) | −2.77221e12 | −0.697727 | −0.348863 | − | 0.937174i | \(-0.613432\pi\) | ||||
−0.348863 | + | 0.937174i | \(0.613432\pi\) | |||||||
\(332\) | 3.40133e12 | − | 3.40133e12i | 0.843255 | − | 0.843255i | ||||
\(333\) | 3.17807e12 | + | 3.17807e12i | 0.776144 | + | 0.776144i | ||||
\(334\) | − | 1.22051e12i | − | 0.293635i | ||||||
\(335\) | 3.75238e12 | + | 1.84984e12i | 0.889371 | + | 0.438441i | ||||
\(336\) | −3.38907e11 | −0.0791378 | ||||||||
\(337\) | −5.71886e11 | + | 5.71886e11i | −0.131571 | + | 0.131571i | −0.769825 | − | 0.638254i | \(-0.779657\pi\) |
0.638254 | + | 0.769825i | \(0.279657\pi\) | |||||||
\(338\) | −1.64162e11 | − | 1.64162e11i | −0.0372126 | − | 0.0372126i | ||||
\(339\) | 9.12862e11i | 0.203895i | ||||||||
\(340\) | −2.36801e12 | + | 4.80348e12i | −0.521182 | + | 1.05721i | ||||
\(341\) | −4.30554e11 | −0.0933804 | ||||||||
\(342\) | 6.05188e11 | − | 6.05188e11i | 0.129348 | − | 0.129348i | ||||
\(343\) | 1.43987e12 | + | 1.43987e12i | 0.303287 | + | 0.303287i | ||||
\(344\) | 3.44645e12i | 0.715451i | ||||||||
\(345\) | −3.07947e12 | + | 1.04580e12i | −0.630058 | + | 0.213970i | ||||
\(346\) | −1.03154e12 | −0.208020 | ||||||||
\(347\) | −1.13487e12 | + | 1.13487e12i | −0.225580 | + | 0.225580i | −0.810843 | − | 0.585263i | \(-0.800991\pi\) |
0.585263 | + | 0.810843i | \(0.300991\pi\) | |||||||
\(348\) | 1.15538e12 | + | 1.15538e12i | 0.226375 | + | 0.226375i | ||||
\(349\) | − | 5.63803e12i | − | 1.08893i | −0.838783 | − | 0.544465i | \(-0.816733\pi\) | ||
0.838783 | − | 0.544465i | \(-0.183267\pi\) | |||||||
\(350\) | −1.43946e11 | − | 1.87490e11i | −0.0274068 | − | 0.0356974i | ||||
\(351\) | 4.49613e12 | 0.843924 | ||||||||
\(352\) | 2.16120e11 | − | 2.16120e11i | 0.0399928 | − | 0.0399928i | ||||
\(353\) | 7.43074e12 | + | 7.43074e12i | 1.35568 | + | 1.35568i | 0.879164 | + | 0.476520i | \(0.158102\pi\) |
0.476520 | + | 0.879164i | \(0.341898\pi\) | |||||||
\(354\) | 4.93500e11i | 0.0887709i | ||||||||
\(355\) | −1.71342e12 | − | 5.04535e12i | −0.303894 | − | 0.894849i | ||||
\(356\) | −6.56953e12 | −1.14891 | ||||||||
\(357\) | 4.55766e11 | − | 4.55766e11i | 0.0785961 | − | 0.0785961i | ||||
\(358\) | 1.13742e12 | + | 1.13742e12i | 0.193421 | + | 0.193421i | ||||
\(359\) | − | 7.02776e12i | − | 1.17854i | −0.807936 | − | 0.589270i | \(-0.799415\pi\) | ||
0.807936 | − | 0.589270i | \(-0.200585\pi\) | |||||||
\(360\) | −1.80718e12 | − | 8.90899e11i | −0.298874 | − | 0.147338i | ||||
\(361\) | −9.52990e11 | −0.155436 | ||||||||
\(362\) | 7.04854e11 | − | 7.04854e11i | 0.113385 | − | 0.113385i | ||||
\(363\) | −1.81479e12 | − | 1.81479e12i | −0.287934 | − | 0.287934i | ||||
\(364\) | 1.50841e12i | 0.236055i | ||||||||
\(365\) | −1.66917e12 | + | 3.38588e12i | −0.257653 | + | 0.522646i | ||||
\(366\) | 2.10943e11 | 0.0321188 | ||||||||
\(367\) | 4.10757e11 | − | 4.10757e11i | 0.0616956 | − | 0.0616956i | −0.675586 | − | 0.737281i | \(-0.736109\pi\) |
0.737281 | + | 0.675586i | \(0.236109\pi\) | |||||||
\(368\) | −6.76598e12 | − | 6.76598e12i | −1.00252 | − | 1.00252i | ||||
\(369\) | − | 2.77336e12i | − | 0.405391i | ||||||
\(370\) | 1.77612e12 | − | 6.03177e11i | 0.256131 | − | 0.0869833i | ||||
\(371\) | 9.72837e11 | 0.138411 | ||||||||
\(372\) | 1.90112e12 | − | 1.90112e12i | 0.266867 | − | 0.266867i | ||||
\(373\) | 5.37175e12 | + | 5.37175e12i | 0.743998 | + | 0.743998i | 0.973345 | − | 0.229347i | \(-0.0736589\pi\) |
−0.229347 | + | 0.973345i | \(0.573659\pi\) | |||||||
\(374\) | 1.79664e11i | 0.0245530i | ||||||||
\(375\) | −5.95969e11 | − | 2.98984e12i | −0.0803651 | − | 0.403173i | ||||
\(376\) | −1.24404e12 | −0.165537 | ||||||||
\(377\) | 4.90742e12 | − | 4.90742e12i | 0.644386 | − | 0.644386i | ||||
\(378\) | 1.84860e11 | + | 1.84860e11i | 0.0239543 | + | 0.0239543i | ||||
\(379\) | 3.45301e12i | 0.441573i | 0.975322 | + | 0.220786i | \(0.0708624\pi\) | ||||
−0.975322 | + | 0.220786i | \(0.929138\pi\) | |||||||
\(380\) | 2.62395e12 | + | 7.72650e12i | 0.331160 | + | 0.975135i | ||||
\(381\) | −4.31313e11 | −0.0537239 | ||||||||
\(382\) | −1.41022e12 | + | 1.41022e12i | −0.173368 | + | 0.173368i | ||||
\(383\) | −7.95493e12 | − | 7.95493e12i | −0.965256 | − | 0.965256i | 0.0341606 | − | 0.999416i | \(-0.489124\pi\) |
−0.999416 | + | 0.0341606i | \(0.989124\pi\) | |||||||
\(384\) | 2.52430e12i | 0.302332i | ||||||||
\(385\) | 1.62483e11 | + | 8.01008e10i | 0.0192090 | + | 0.00946964i | ||||
\(386\) | −2.24281e12 | −0.261732 | ||||||||
\(387\) | −9.10093e12 | + | 9.10093e12i | −1.04841 | + | 1.04841i | ||||
\(388\) | 1.82687e12 | + | 1.82687e12i | 0.207754 | + | 0.207754i | ||||
\(389\) | 1.31059e13i | 1.47136i | 0.677329 | + | 0.735680i | \(0.263137\pi\) | ||||
−0.677329 | + | 0.735680i | \(0.736863\pi\) | |||||||
\(390\) | 3.76558e11 | − | 7.63843e11i | 0.0417358 | − | 0.0846605i | ||||
\(391\) | 1.81979e13 | 1.99131 | ||||||||
\(392\) | 2.49775e12 | − | 2.49775e12i | 0.269847 | − | 0.269847i | ||||
\(393\) | 9.37394e11 | + | 9.37394e11i | 0.0999906 | + | 0.0999906i | ||||
\(394\) | − | 1.81392e12i | − | 0.191045i | ||||||
\(395\) | 3.41338e12 | − | 1.15920e12i | 0.354976 | − | 0.120551i | ||||
\(396\) | 7.55540e11 | 0.0775857 | ||||||||
\(397\) | −5.77637e12 | + | 5.77637e12i | −0.585736 | + | 0.585736i | −0.936474 | − | 0.350738i | \(-0.885931\pi\) |
0.350738 | + | 0.936474i | \(0.385931\pi\) | |||||||
\(398\) | −6.14946e11 | − | 6.14946e11i | −0.0615774 | − | 0.0615774i | ||||
\(399\) | − | 9.82076e11i | − | 0.0971137i | ||||||
\(400\) | 7.11465e12 | − | 5.46230e12i | 0.694790 | − | 0.533428i | ||||
\(401\) | −1.00597e13 | −0.970202 | −0.485101 | − | 0.874458i | \(-0.661217\pi\) | ||||
−0.485101 | + | 0.874458i | \(0.661217\pi\) | |||||||
\(402\) | −6.19720e11 | + | 6.19720e11i | −0.0590290 | + | 0.0590290i | ||||
\(403\) | −8.07494e12 | − | 8.07494e12i | −0.759651 | − | 0.759651i | ||||
\(404\) | − | 2.16167e10i | − | 0.00200855i | ||||||
\(405\) | −1.82741e12 | − | 5.38100e12i | −0.167711 | − | 0.493842i | ||||
\(406\) | 4.03540e11 | 0.0365811 | ||||||||
\(407\) | −1.01650e12 | + | 1.01650e12i | −0.0910198 | + | 0.0910198i | ||||
\(408\) | −1.62135e12 | − | 1.62135e12i | −0.143409 | − | 0.143409i | ||||
\(409\) | − | 5.81279e12i | − | 0.507888i | −0.967219 | − | 0.253944i | \(-0.918272\pi\) | ||
0.967219 | − | 0.253944i | \(-0.0817279\pi\) | |||||||
\(410\) | −1.03815e12 | − | 5.11786e11i | −0.0896068 | − | 0.0441742i | ||||
\(411\) | −9.57669e11 | −0.0816594 | ||||||||
\(412\) | 4.03906e12 | − | 4.03906e12i | 0.340247 | − | 0.340247i | ||||
\(413\) | −1.96881e12 | − | 1.96881e12i | −0.163853 | − | 0.163853i | ||||
\(414\) | 3.34991e12i | 0.275443i | ||||||||
\(415\) | 6.77498e12 | − | 1.37430e13i | 0.550387 | − | 1.11645i | ||||
\(416\) | 8.10656e12 | 0.650683 | ||||||||
\(417\) | −4.78939e12 | + | 4.78939e12i | −0.379839 | + | 0.379839i | ||||
\(418\) | 1.93569e11 | + | 1.93569e11i | 0.0151689 | + | 0.0151689i | ||||
\(419\) | 4.24519e12i | 0.328721i | 0.986400 | + | 0.164360i | \(0.0525560\pi\) | ||||
−0.986400 | + | 0.164360i | \(0.947444\pi\) | |||||||
\(420\) | −1.07114e12 | + | 3.63763e11i | −0.0819595 | + | 0.0278338i | ||||
\(421\) | 2.54080e12 | 0.192115 | 0.0960574 | − | 0.995376i | \(-0.469377\pi\) | ||||
0.0960574 | + | 0.995376i | \(0.469377\pi\) | |||||||
\(422\) | 1.33130e12 | − | 1.33130e12i | 0.0994749 | − | 0.0994749i | ||||
\(423\) | −3.28510e12 | − | 3.28510e12i | −0.242575 | − | 0.242575i | ||||
\(424\) | − | 3.46079e12i | − | 0.252549i | ||||||
\(425\) | −2.22210e12 | + | 1.69136e13i | −0.160258 | + | 1.21981i | ||||
\(426\) | 1.11624e12 | 0.0795626 | ||||||||
\(427\) | −8.41553e11 | + | 8.41553e11i | −0.0592846 | + | 0.0592846i | ||||
\(428\) | 4.47077e12 | + | 4.47077e12i | 0.311289 | + | 0.311289i | ||||
\(429\) | 6.52671e11i | 0.0449167i | ||||||||
\(430\) | 1.72730e12 | + | 5.08620e12i | 0.117496 | + | 0.345980i | ||||
\(431\) | −2.15279e13 | −1.44749 | −0.723743 | − | 0.690070i | \(-0.757580\pi\) | ||||
−0.723743 | + | 0.690070i | \(0.757580\pi\) | |||||||
\(432\) | −7.01486e12 | + | 7.01486e12i | −0.466230 | + | 0.466230i | ||||
\(433\) | 9.99110e12 | + | 9.99110e12i | 0.656408 | + | 0.656408i | 0.954528 | − | 0.298121i | \(-0.0963598\pi\) |
−0.298121 | + | 0.954528i | \(0.596360\pi\) | |||||||
\(434\) | − | 6.64008e11i | − | 0.0431245i | ||||||
\(435\) | 4.66826e12 | + | 2.30135e12i | 0.299715 | + | 0.147753i | ||||
\(436\) | −4.43335e12 | −0.281384 | ||||||||
\(437\) | 1.96063e13 | − | 1.96063e13i | 1.23023 | − | 1.23023i | ||||
\(438\) | −5.59191e11 | − | 5.59191e11i | −0.0346888 | − | 0.0346888i | ||||
\(439\) | 2.33293e13i | 1.43080i | 0.698714 | + | 0.715401i | \(0.253756\pi\) | ||||
−0.698714 | + | 0.715401i | \(0.746244\pi\) | |||||||
\(440\) | 2.84953e11 | − | 5.78023e11i | 0.0172786 | − | 0.0350495i | ||||
\(441\) | 1.31914e13 | 0.790859 | ||||||||
\(442\) | −3.36956e12 | + | 3.36956e12i | −0.199739 | + | 0.199739i | ||||
\(443\) | 2.92902e12 | + | 2.92902e12i | 0.171673 | + | 0.171673i | 0.787714 | − | 0.616041i | \(-0.211264\pi\) |
−0.616041 | + | 0.787714i | \(0.711264\pi\) | |||||||
\(444\) | − | 8.97679e12i | − | 0.520243i | ||||||
\(445\) | −1.98148e13 | + | 6.72918e12i | −1.13550 | + | 0.385622i | ||||
\(446\) | 4.07683e12 | 0.231019 | ||||||||
\(447\) | 3.95213e12 | − | 3.95213e12i | 0.221459 | − | 0.221459i | ||||
\(448\) | −2.12314e12 | − | 2.12314e12i | −0.117649 | − | 0.117649i | ||||
\(449\) | − | 3.40161e13i | − | 1.86403i | −0.362419 | − | 0.932015i | \(-0.618049\pi\) | ||
0.362419 | − | 0.932015i | \(-0.381951\pi\) | |||||||
\(450\) | −3.11350e12 | − | 4.09049e11i | −0.168728 | − | 0.0221673i | ||||
\(451\) | 8.87055e11 | 0.0475409 | ||||||||
\(452\) | −6.33906e12 | + | 6.33906e12i | −0.335995 | + | 0.335995i | ||||
\(453\) | 7.22189e12 | + | 7.22189e12i | 0.378582 | + | 0.378582i | ||||
\(454\) | − | 6.28030e12i | − | 0.325613i | ||||||
\(455\) | 1.54507e12 | + | 4.54961e12i | 0.0792301 | + | 0.233301i | ||||
\(456\) | −3.49366e12 | −0.177197 | ||||||||
\(457\) | 4.38241e12 | − | 4.38241e12i | 0.219853 | − | 0.219853i | −0.588584 | − | 0.808436i | \(-0.700314\pi\) |
0.808436 | + | 0.588584i | \(0.200314\pi\) | |||||||
\(458\) | −2.20876e12 | − | 2.20876e12i | −0.109602 | − | 0.109602i | ||||
\(459\) | − | 1.88673e13i | − | 0.926078i | ||||||
\(460\) | −2.86466e13 | − | 1.41221e13i | −1.39086 | − | 0.685664i | ||||
\(461\) | −6.09175e12 | −0.292575 | −0.146288 | − | 0.989242i | \(-0.546732\pi\) | ||||
−0.146288 | + | 0.989242i | \(0.546732\pi\) | |||||||
\(462\) | −2.68348e10 | + | 2.68348e10i | −0.00127493 | + | 0.00127493i | ||||
\(463\) | 5.30861e12 | + | 5.30861e12i | 0.249503 | + | 0.249503i | 0.820767 | − | 0.571264i | \(-0.193547\pi\) |
−0.571264 | + | 0.820767i | \(0.693547\pi\) | |||||||
\(464\) | 1.53131e13i | 0.711989i | ||||||||
\(465\) | 3.78677e12 | − | 7.68142e12i | 0.174183 | − | 0.353327i | ||||
\(466\) | −2.03814e12 | −0.0927478 | ||||||||
\(467\) | 1.33139e13 | − | 1.33139e13i | 0.599407 | − | 0.599407i | −0.340747 | − | 0.940155i | \(-0.610680\pi\) |
0.940155 | + | 0.340747i | \(0.110680\pi\) | |||||||
\(468\) | 1.41700e13 | + | 1.41700e13i | 0.631161 | + | 0.631161i | ||||
\(469\) | − | 4.94473e12i | − | 0.217911i | ||||||
\(470\) | −1.83593e12 | + | 6.23490e11i | −0.0800510 | + | 0.0271857i | ||||
\(471\) | −1.67888e11 | −0.00724295 | ||||||||
\(472\) | −7.00390e12 | + | 7.00390e12i | −0.298972 | + | 0.298972i | ||||
\(473\) | −2.91092e12 | − | 2.91092e12i | −0.122949 | − | 0.122949i | ||||
\(474\) | 7.55179e11i | 0.0315615i | ||||||||
\(475\) | 1.58285e13 | + | 2.06167e13i | 0.654594 | + | 0.852609i | ||||
\(476\) | 6.32983e12 | 0.259034 | ||||||||
\(477\) | 9.13881e12 | − | 9.13881e12i | 0.370082 | − | 0.370082i | ||||
\(478\) | 6.50037e11 | + | 6.50037e11i | 0.0260494 | + | 0.0260494i | ||||
\(479\) | 4.52816e13i | 1.79574i | 0.440257 | + | 0.897872i | \(0.354887\pi\) | ||||
−0.440257 | + | 0.897872i | \(0.645113\pi\) | |||||||
\(480\) | 1.95495e12 | + | 5.75655e12i | 0.0767236 | + | 0.225921i | ||||
\(481\) | −3.81285e13 | −1.48090 | ||||||||
\(482\) | 3.42961e12 | − | 3.42961e12i | 0.131828 | − | 0.131828i | ||||
\(483\) | 2.71805e12 | + | 2.71805e12i | 0.103400 | + | 0.103400i | ||||
\(484\) | − | 2.52044e13i | − | 0.948963i | ||||||
\(485\) | 7.38142e12 | + | 3.63888e12i | 0.275062 | + | 0.135600i | ||||
\(486\) | 5.37000e12 | 0.198058 | ||||||||
\(487\) | −1.68828e13 | + | 1.68828e13i | −0.616309 | + | 0.616309i | −0.944583 | − | 0.328273i | \(-0.893533\pi\) |
0.328273 | + | 0.944583i | \(0.393533\pi\) | |||||||
\(488\) | 2.99376e12 | + | 2.99376e12i | 0.108173 | + | 0.108173i | ||||
\(489\) | 6.14513e12i | 0.219779i | ||||||||
\(490\) | 2.43430e12 | − | 4.93795e12i | 0.0861775 | − | 0.174810i | ||||
\(491\) | 2.30176e13 | 0.806590 | 0.403295 | − | 0.915070i | \(-0.367865\pi\) | ||||
0.403295 | + | 0.915070i | \(0.367865\pi\) | |||||||
\(492\) | −3.91682e12 | + | 3.91682e12i | −0.135865 | + | 0.135865i | ||||
\(493\) | −2.05932e13 | − | 2.05932e13i | −0.707115 | − | 0.707115i | ||||
\(494\) | 7.26067e12i | 0.246798i | ||||||||
\(495\) | 2.27883e12 | − | 7.73901e11i | 0.0766808 | − | 0.0260411i | ||||
\(496\) | 2.51970e13 | 0.839346 | ||||||||
\(497\) | −4.45322e12 | + | 4.45322e12i | −0.146856 | + | 0.146856i | ||||
\(498\) | 2.26970e12 | + | 2.26970e12i | 0.0741007 | + | 0.0741007i | ||||
\(499\) | 9.09915e12i | 0.294102i | 0.989129 | + | 0.147051i | \(0.0469782\pi\) | ||||
−0.989129 | + | 0.147051i | \(0.953022\pi\) | |||||||
\(500\) | 1.66234e13 | − | 2.49004e13i | 0.531949 | − | 0.796814i | ||||
\(501\) | −1.86056e13 | −0.589462 | ||||||||
\(502\) | 4.62247e12 | − | 4.62247e12i | 0.144996 | − | 0.144996i | ||||
\(503\) | −2.81006e13 | − | 2.81006e13i | −0.872721 | − | 0.872721i | 0.120048 | − | 0.992768i | \(-0.461695\pi\) |
−0.992768 | + | 0.120048i | \(0.961695\pi\) | |||||||
\(504\) | 2.38142e12i | 0.0732291i | ||||||||
\(505\) | −2.21420e10 | − | 6.51994e10i | −0.000674155 | − | 0.00198512i | ||||
\(506\) | −1.07147e12 | −0.0323017 | ||||||||
\(507\) | −2.50252e12 | + | 2.50252e12i | −0.0747030 | + | 0.0747030i | ||||
\(508\) | −2.99511e12 | − | 2.99511e12i | −0.0885306 | − | 0.0885306i | ||||
\(509\) | − | 4.20563e13i | − | 1.23095i | −0.788155 | − | 0.615477i | \(-0.788963\pi\) | ||
0.788155 | − | 0.615477i | \(-0.211037\pi\) | |||||||
\(510\) | −3.20535e12 | − | 1.58017e12i | −0.0929020 | − | 0.0457987i | ||||
\(511\) | 4.46177e12 | 0.128057 | ||||||||
\(512\) | −2.13865e13 | + | 2.13865e13i | −0.607840 | + | 0.607840i | ||||
\(513\) | −2.03275e13 | − | 2.03275e13i | −0.572133 | − | 0.572133i | ||||
\(514\) | 3.97860e12i | 0.110896i | ||||||||
\(515\) | 8.04524e12 | − | 1.63197e13i | 0.222077 | − | 0.450479i | ||||
\(516\) | 2.57065e13 | 0.702740 | ||||||||
\(517\) | 1.05073e12 | − | 1.05073e12i | 0.0284472 | − | 0.0284472i | ||||
\(518\) | −1.56767e12 | − | 1.56767e12i | −0.0420344 | − | 0.0420344i | ||||
\(519\) | 1.57250e13i | 0.417593i | ||||||||
\(520\) | 1.61849e13 | − | 5.49646e12i | 0.425690 | − | 0.144566i | ||||
\(521\) | 3.53219e13 | 0.920143 | 0.460072 | − | 0.887882i | \(-0.347824\pi\) | ||||
0.460072 | + | 0.887882i | \(0.347824\pi\) | |||||||
\(522\) | 3.79085e12 | − | 3.79085e12i | 0.0978101 | − | 0.0978101i | ||||
\(523\) | 1.01996e13 | + | 1.01996e13i | 0.260661 | + | 0.260661i | 0.825322 | − | 0.564662i | \(-0.190993\pi\) |
−0.564662 | + | 0.825322i | \(0.690993\pi\) | |||||||
\(524\) | 1.30188e13i | 0.329546i | ||||||||
\(525\) | −2.85812e12 | + | 2.19434e12i | −0.0716613 | + | 0.0550182i | ||||
\(526\) | −1.17487e13 | −0.291783 | ||||||||
\(527\) | −3.38853e13 | + | 3.38853e13i | −0.833601 | + | 0.833601i | ||||
\(528\) | −1.01830e12 | − | 1.01830e12i | −0.0248145 | − | 0.0248145i | ||||
\(529\) | 6.71007e13i | 1.61975i | ||||||||
\(530\) | −1.73448e12 | − | 5.10737e12i | −0.0414754 | − | 0.122129i | ||||
\(531\) | −3.69900e13 | −0.876216 | ||||||||
\(532\) | 6.81969e12 | − | 6.81969e12i | 0.160032 | − | 0.160032i | ||||
\(533\) | 1.66365e13 | + | 1.66365e13i | 0.386746 | + | 0.386746i | ||||
\(534\) | − | 4.38383e12i | − | 0.100960i | ||||||
\(535\) | 1.80640e13 | + | 8.90515e12i | 0.412140 | + | 0.203176i | ||||
\(536\) | −1.75905e13 | −0.397608 | ||||||||
\(537\) | 1.73390e13 | − | 1.73390e13i | 0.388286 | − | 0.388286i | ||||
\(538\) | 6.20025e12 | + | 6.20025e12i | 0.137562 | + | 0.137562i | ||||
\(539\) | 4.21926e12i | 0.0927455i | ||||||||
\(540\) | −1.46416e13 | + | 2.97003e13i | −0.318875 | + | 0.646833i | ||||
\(541\) | 5.17386e13 | 1.11642 | 0.558211 | − | 0.829699i | \(-0.311488\pi\) | ||||
0.558211 | + | 0.829699i | \(0.311488\pi\) | |||||||
\(542\) | −7.60433e12 | + | 7.60433e12i | −0.162579 | + | 0.162579i | ||||
\(543\) | −1.07449e13 | − | 1.07449e13i | −0.227617 | − | 0.227617i | ||||
\(544\) | − | 3.40180e13i | − | 0.714026i | ||||||
\(545\) | −1.33717e13 | + | 4.54109e12i | −0.278102 | + | 0.0944446i | ||||
\(546\) | −1.00656e12 | −0.0207432 | ||||||||
\(547\) | 5.40393e13 | − | 5.40393e13i | 1.10350 | − | 1.10350i | 0.109516 | − | 0.993985i | \(-0.465070\pi\) |
0.993985 | − | 0.109516i | \(-0.0349302\pi\) | |||||||
\(548\) | −6.65021e12 | − | 6.65021e12i | −0.134565 | − | 0.134565i | ||||
\(549\) | 1.58111e13i | 0.317029i | ||||||||
\(550\) | 1.30834e11 | − | 9.95848e11i | 0.00259960 | − | 0.0197870i | ||||
\(551\) | −4.43739e13 | −0.873715 | ||||||||
\(552\) | 9.66927e12 | − | 9.66927e12i | 0.188668 | − | 0.188668i | ||||
\(553\) | −3.01278e12 | − | 3.01278e12i | −0.0582561 | − | 0.0582561i | ||||
\(554\) | 1.74743e13i | 0.334850i | ||||||||
\(555\) | −9.19493e12 | − | 2.70754e13i | −0.174616 | − | 0.514175i | ||||
\(556\) | −6.65166e13 | −1.25186 | ||||||||
\(557\) | −2.64732e12 | + | 2.64732e12i | −0.0493777 | + | 0.0493777i | −0.731365 | − | 0.681987i | \(-0.761116\pi\) |
0.681987 | + | 0.731365i | \(0.261116\pi\) | |||||||
\(558\) | −6.23767e12 | − | 6.23767e12i | −0.115306 | − | 0.115306i | ||||
\(559\) | − | 1.09187e14i | − | 2.00038i | ||||||
\(560\) | −9.50892e12 | − | 4.68769e12i | −0.172660 | − | 0.0851175i | ||||
\(561\) | 2.73884e12 | 0.0492892 | ||||||||
\(562\) | 3.70904e12 | − | 3.70904e12i | 0.0661577 | − | 0.0661577i | ||||
\(563\) | 5.45245e13 | + | 5.45245e13i | 0.963940 | + | 0.963940i | 0.999372 | − | 0.0354321i | \(-0.0112808\pi\) |
−0.0354321 | + | 0.999372i | \(0.511281\pi\) | |||||||
\(564\) | 9.27910e12i | 0.162596i | ||||||||
\(565\) | −1.26265e13 | + | 2.56128e13i | −0.219302 | + | 0.444850i | ||||
\(566\) | 1.39969e13 | 0.240963 | ||||||||
\(567\) | −4.74947e12 | + | 4.74947e12i | −0.0810456 | + | 0.0810456i | ||||
\(568\) | 1.58420e13 | + | 1.58420e13i | 0.267959 | + | 0.267959i | ||||
\(569\) | − | 8.15865e13i | − | 1.36791i | −0.729525 | − | 0.683955i | \(-0.760259\pi\) | ||
0.729525 | − | 0.683955i | \(-0.239741\pi\) | |||||||
\(570\) | −5.15587e12 | + | 1.75096e12i | −0.0856896 | + | 0.0291005i | ||||
\(571\) | 9.85629e13 | 1.62380 | 0.811901 | − | 0.583795i | \(-0.198433\pi\) | ||||
0.811901 | + | 0.583795i | \(0.198433\pi\) | |||||||
\(572\) | −4.53225e12 | + | 4.53225e12i | −0.0740174 | + | 0.0740174i | ||||
\(573\) | 2.14977e13 | + | 2.14977e13i | 0.348031 | + | 0.348031i | ||||
\(574\) | 1.36803e12i | 0.0219552i | ||||||||
\(575\) | −1.00868e14 | − | 1.32519e13i | −1.60477 | − | 0.210834i | ||||
\(576\) | −3.98895e13 | −0.629138 | ||||||||
\(577\) | −3.53230e13 | + | 3.53230e13i | −0.552305 | + | 0.552305i | −0.927105 | − | 0.374801i | \(-0.877711\pi\) |
0.374801 | + | 0.927105i | \(0.377711\pi\) | |||||||
\(578\) | 4.79811e12 | + | 4.79811e12i | 0.0743758 | + | 0.0743758i | ||||
\(579\) | 3.41898e13i | 0.525417i | ||||||||
\(580\) | 1.64362e13 | + | 4.83981e13i | 0.250416 | + | 0.737375i | ||||
\(581\) | −1.81099e13 | −0.273549 | ||||||||
\(582\) | −1.21907e12 | + | 1.21907e12i | −0.0182563 | + | 0.0182563i | ||||
\(583\) | 2.92303e12 | + | 2.92303e12i | 0.0434001 | + | 0.0434001i | ||||
\(584\) | − | 1.58724e13i | − | 0.233657i | ||||||
\(585\) | 5.72533e13 | + | 2.82246e13i | 0.835644 | + | 0.411954i | ||||
\(586\) | 1.87418e12 | 0.0271220 | ||||||||
\(587\) | 4.08411e12 | − | 4.08411e12i | 0.0586012 | − | 0.0586012i | −0.677199 | − | 0.735800i | \(-0.736806\pi\) |
0.735800 | + | 0.677199i | \(0.236806\pi\) | |||||||
\(588\) | −1.86303e13 | − | 1.86303e13i | −0.265053 | − | 0.265053i | ||||
\(589\) | 7.30154e13i | 1.03000i | ||||||||
\(590\) | −6.82600e12 | + | 1.38464e13i | −0.0954786 | + | 0.193677i | ||||
\(591\) | −2.76517e13 | −0.383517 | ||||||||
\(592\) | 5.94881e13 | − | 5.94881e13i | 0.818129 | − | 0.818129i | ||||
\(593\) | 8.89286e13 | + | 8.89286e13i | 1.21274 | + | 1.21274i | 0.970122 | + | 0.242619i | \(0.0780064\pi\) |
0.242619 | + | 0.970122i | \(0.421994\pi\) | |||||||
\(594\) | 1.11088e12i | 0.0150222i | ||||||||
\(595\) | 1.90918e13 | − | 6.48365e12i | 0.256013 | − | 0.0869430i | ||||
\(596\) | 5.48885e13 | 0.729877 | ||||||||
\(597\) | −9.37434e12 | + | 9.37434e12i | −0.123614 | + | 0.123614i | ||||
\(598\) | −2.00951e13 | − | 2.00951e13i | −0.262775 | − | 0.262775i | ||||
\(599\) | − | 8.84354e13i | − | 1.14681i | −0.819272 | − | 0.573406i | \(-0.805622\pi\) | ||
0.819272 | − | 0.573406i | \(-0.194378\pi\) | |||||||
\(600\) | 7.80618e12 | + | 1.01676e13i | 0.100388 | + | 0.130756i | ||||
\(601\) | −1.24727e14 | −1.59070 | −0.795352 | − | 0.606148i | \(-0.792714\pi\) | ||||
−0.795352 | + | 0.606148i | \(0.792714\pi\) | |||||||
\(602\) | 4.48927e12 | − | 4.48927e12i | 0.0567797 | − | 0.0567797i | ||||
\(603\) | −4.64507e13 | − | 4.64507e13i | −0.582648 | − | 0.582648i | ||||
\(604\) | 1.00300e14i | 1.24772i | ||||||||
\(605\) | −2.58169e13 | − | 7.60205e13i | −0.318513 | − | 0.937894i | ||||
\(606\) | 1.44248e10 | 0.000176500 | ||||||||
\(607\) | −7.90250e12 | + | 7.90250e12i | −0.0959005 | + | 0.0959005i | −0.753429 | − | 0.657529i | \(-0.771602\pi\) |
0.657529 | + | 0.753429i | \(0.271602\pi\) | |||||||
\(608\) | −3.66506e13 | − | 3.66506e13i | −0.441127 | − | 0.441127i | ||||
\(609\) | − | 6.15164e12i | − | 0.0734352i | ||||||
\(610\) | 5.91855e12 | + | 2.91772e12i | 0.0700755 | + | 0.0345457i | ||||
\(611\) | 3.94126e13 | 0.462837 | ||||||||
\(612\) | 5.94623e13 | − | 5.94623e13i | 0.692603 | − | 0.692603i | ||||
\(613\) | −7.87997e13 | − | 7.87997e13i | −0.910378 | − | 0.910378i | 0.0859234 | − | 0.996302i | \(-0.472616\pi\) |
−0.996302 | + | 0.0859234i | \(0.972616\pi\) | |||||||
\(614\) | − | 2.19856e13i | − | 0.251940i | ||||||
\(615\) | −7.80175e12 | + | 1.58258e13i | −0.0886782 | + | 0.179882i | ||||
\(616\) | −7.61694e11 | −0.00858770 | ||||||||
\(617\) | −8.06967e13 | + | 8.06967e13i | −0.902464 | + | 0.902464i | −0.995649 | − | 0.0931846i | \(-0.970295\pi\) |
0.0931846 | + | 0.995649i | \(0.470295\pi\) | |||||||
\(618\) | 2.69525e12 | + | 2.69525e12i | 0.0298990 | + | 0.0298990i | ||||
\(619\) | − | 1.91232e13i | − | 0.210430i | −0.994450 | − | 0.105215i | \(-0.966447\pi\) | ||
0.994450 | − | 0.105215i | \(-0.0335530\pi\) | |||||||
\(620\) | 7.96370e13 | − | 2.70451e13i | 0.869273 | − | 0.295209i | ||||
\(621\) | 1.12519e14 | 1.21834 | ||||||||
\(622\) | −7.11630e12 | + | 7.11630e12i | −0.0764368 | + | 0.0764368i | ||||
\(623\) | 1.74893e13 | + | 1.74893e13i | 0.186351 | + | 0.186351i | ||||
\(624\) | − | 3.81958e13i | − | 0.403732i | ||||||
\(625\) | 2.46334e13 | − | 9.21311e13i | 0.258300 | − | 0.966065i | ||||
\(626\) | 7.78503e12 | 0.0809821 | ||||||||
\(627\) | 2.95079e12 | − | 2.95079e12i | 0.0304510 | − | 0.0304510i | ||||
\(628\) | −1.16584e12 | − | 1.16584e12i | −0.0119355 | − | 0.0119355i | ||||
\(629\) | 1.60001e14i | 1.62506i | ||||||||
\(630\) | 1.19352e12 | + | 3.51445e12i | 0.0120262 | + | 0.0354124i | ||||
\(631\) | −7.38246e13 | −0.737997 | −0.368998 | − | 0.929430i | \(-0.620299\pi\) | ||||
−0.368998 | + | 0.929430i | \(0.620299\pi\) | |||||||
\(632\) | −1.07177e13 | + | 1.07177e13i | −0.106296 | + | 0.106296i | ||||
\(633\) | −2.02946e13 | − | 2.02946e13i | −0.199692 | − | 0.199692i | ||||
\(634\) | 2.79772e12i | 0.0273123i | ||||||||
\(635\) | −1.21016e13 | − | 5.96583e12i | −0.117213 | − | 0.0577833i | ||||
\(636\) | −2.58135e13 | −0.248063 | ||||||||
\(637\) | −7.91313e13 | + | 7.91313e13i | −0.754486 | + | 0.754486i | ||||
\(638\) | 1.21250e12 | + | 1.21250e12i | 0.0114704 | + | 0.0114704i | ||||
\(639\) | 8.36668e13i | 0.785324i | ||||||||
\(640\) | −3.49156e13 | + | 7.08258e13i | −0.325177 | + | 0.659616i | ||||
\(641\) | 2.06509e14 | 1.90831 | 0.954154 | − | 0.299317i | \(-0.0967587\pi\) | ||||
0.954154 | + | 0.299317i | \(0.0967587\pi\) | |||||||
\(642\) | −2.98333e12 | + | 2.98333e12i | −0.0273544 | + | 0.0273544i | ||||
\(643\) | −4.65598e13 | − | 4.65598e13i | −0.423600 | − | 0.423600i | 0.462841 | − | 0.886441i | \(-0.346830\pi\) |
−0.886441 | + | 0.462841i | \(0.846830\pi\) | |||||||
\(644\) | 3.77492e13i | 0.340784i | ||||||||
\(645\) | 7.75350e13 | − | 2.63312e13i | 0.694543 | − | 0.235870i | ||||
\(646\) | 3.04683e13 | 0.270823 | ||||||||
\(647\) | −3.93706e13 | + | 3.93706e13i | −0.347257 | + | 0.347257i | −0.859087 | − | 0.511830i | \(-0.828968\pi\) |
0.511830 | + | 0.859087i | \(0.328968\pi\) | |||||||
\(648\) | 1.68959e13 | + | 1.68959e13i | 0.147879 | + | 0.147879i | ||||
\(649\) | − | 1.18312e13i | − | 0.102755i | ||||||
\(650\) | 2.11306e13 | − | 1.62231e13i | 0.182115 | − | 0.139820i | ||||
\(651\) | −1.01223e13 | −0.0865710 | ||||||||
\(652\) | −4.26728e13 | + | 4.26728e13i | −0.362171 | + | 0.362171i | ||||
\(653\) | −2.83045e12 | − | 2.83045e12i | −0.0238391 | − | 0.0238391i | 0.695087 | − | 0.718926i | \(-0.255366\pi\) |
−0.718926 | + | 0.695087i | \(0.755366\pi\) | |||||||
\(654\) | − | 2.95837e12i | − | 0.0247265i | ||||||
\(655\) | 1.33352e13 | + | 3.92669e13i | 0.110610 | + | 0.325702i | ||||
\(656\) | −5.19126e13 | −0.427320 | ||||||||
\(657\) | 4.19138e13 | − | 4.19138e13i | 0.342397 | − | 0.342397i | ||||
\(658\) | 1.62046e12 | + | 1.62046e12i | 0.0131374 | + | 0.0131374i | ||||
\(659\) | − | 1.73272e14i | − | 1.39412i | −0.717011 | − | 0.697062i | \(-0.754490\pi\) | ||
0.717011 | − | 0.697062i | \(-0.245510\pi\) | |||||||
\(660\) | −4.31138e12 | − | 2.12542e12i | −0.0344268 | − | 0.0169717i | ||||
\(661\) | −8.78289e13 | −0.696034 | −0.348017 | − | 0.937488i | \(-0.613145\pi\) | ||||
−0.348017 | + | 0.937488i | \(0.613145\pi\) | |||||||
\(662\) | 1.28459e13 | − | 1.28459e13i | 0.101036 | − | 0.101036i | ||||
\(663\) | 5.13662e13 | + | 5.13662e13i | 0.400968 | + | 0.400968i | ||||
\(664\) | 6.44246e13i | 0.499127i | ||||||||
\(665\) | 1.35839e13 | − | 2.75547e13i | 0.104452 | − | 0.211879i | ||||
\(666\) | −2.94533e13 | −0.224782 | ||||||||
\(667\) | 1.22812e14 | − | 1.22812e14i | 0.930276 | − | 0.930276i | ||||
\(668\) | −1.29201e14 | − | 1.29201e14i | −0.971364 | − | 0.971364i | ||||
\(669\) | − | 6.21479e13i | − | 0.463763i | ||||||
\(670\) | −2.59597e13 | + | 8.81603e12i | −0.192277 | + | 0.0652979i | ||||
\(671\) | −5.05715e12 | −0.0371786 | ||||||||
\(672\) | 5.08094e12 | − | 5.08094e12i | 0.0370764 | − | 0.0370764i | ||||
\(673\) | −5.27984e13 | − | 5.27984e13i | −0.382424 | − | 0.382424i | 0.489551 | − | 0.871975i | \(-0.337161\pi\) |
−0.871975 | + | 0.489551i | \(0.837161\pi\) | |||||||
\(674\) | − | 5.30004e12i | − | 0.0381048i | ||||||
\(675\) | −1.37394e13 | + | 1.04578e14i | −0.0980504 | + | 0.746316i | ||||
\(676\) | −3.47558e13 | −0.246203 | ||||||||
\(677\) | 6.90074e13 | − | 6.90074e13i | 0.485235 | − | 0.485235i | −0.421563 | − | 0.906799i | \(-0.638519\pi\) |
0.906799 | + | 0.421563i | \(0.138519\pi\) | |||||||
\(678\) | −4.23004e12 | − | 4.23004e12i | −0.0295254 | − | 0.0295254i | ||||
\(679\) | − | 9.72692e12i | − | 0.0673948i | ||||||
\(680\) | −2.30651e13 | − | 6.79176e13i | −0.158639 | − | 0.467130i | ||||
\(681\) | −9.57381e13 | −0.653656 | ||||||||
\(682\) | 1.99511e12 | − | 1.99511e12i | 0.0135221 | − | 0.0135221i | ||||
\(683\) | 1.63496e14 | + | 1.63496e14i | 1.10003 | + | 1.10003i | 0.994406 | + | 0.105625i | \(0.0336842\pi\) |
0.105625 | + | 0.994406i | \(0.466316\pi\) | |||||||
\(684\) | − | 1.28128e14i | − | 0.855783i | ||||||
\(685\) | −2.68699e13 | − | 1.32463e13i | −0.178161 | − | 0.0878297i | ||||
\(686\) | −1.33443e13 | −0.0878362 | ||||||||
\(687\) | −3.36707e13 | + | 3.36707e13i | −0.220023 | + | 0.220023i | ||||
\(688\) | 1.70354e14 | + | 1.70354e14i | 1.10512 | + | 1.10512i | ||||
\(689\) | 1.09642e14i | 0.706122i | ||||||||
\(690\) | 9.42367e12 | − | 1.91158e13i | 0.0602524 | − | 0.122221i | ||||
\(691\) | 1.36873e14 | 0.868818 | 0.434409 | − | 0.900716i | \(-0.356957\pi\) | ||||
0.434409 | + | 0.900716i | \(0.356957\pi\) | |||||||
\(692\) | −1.09197e14 | + | 1.09197e14i | −0.688144 | + | 0.688144i | ||||
\(693\) | −2.01138e12 | − | 2.01138e12i | −0.0125843 | − | 0.0125843i | ||||
\(694\) | − | 1.05176e13i | − | 0.0653311i | ||||||
\(695\) | −2.00625e14 | + | 6.81330e13i | −1.23726 | + | 0.420178i | ||||
\(696\) | −2.18840e13 | −0.133992 | ||||||||
\(697\) | 6.98126e13 | − | 6.98126e13i | 0.424395 | − | 0.424395i | ||||
\(698\) | 2.61256e13 | + | 2.61256e13i | 0.157685 | + | 0.157685i | ||||
\(699\) | 3.10697e13i | 0.186188i | ||||||||
\(700\) | −3.50851e13 | − | 4.60945e12i | −0.208753 | − | 0.0274258i | ||||
\(701\) | −1.67987e13 | −0.0992398 | −0.0496199 | − | 0.998768i | \(-0.515801\pi\) | ||||
−0.0496199 | + | 0.998768i | \(0.515801\pi\) | |||||||
\(702\) | −2.08343e13 | + | 2.08343e13i | −0.122206 | + | 0.122206i | ||||
\(703\) | 1.72383e14 | + | 1.72383e14i | 1.00396 | + | 1.00396i | ||||
\(704\) | − | 1.27586e13i | − | 0.0737801i | ||||||
\(705\) | 9.50459e12 | + | 2.79873e13i | 0.0545742 | + | 0.160700i | ||||
\(706\) | −6.88655e13 | −0.392625 | ||||||||
\(707\) | −5.75474e10 | + | 5.75474e10i | −0.000325783 | + | 0.000325783i | ||||
\(708\) | 5.22409e13 | + | 5.22409e13i | 0.293660 | + | 0.293660i | ||||
\(709\) | − | 1.26548e14i | − | 0.706356i | −0.935556 | − | 0.353178i | \(-0.885101\pi\) | ||
0.935556 | − | 0.353178i | \(-0.114899\pi\) | |||||||
\(710\) | 3.13190e13 | + | 1.54396e13i | 0.173587 | + | 0.0855744i | ||||
\(711\) | −5.66039e13 | −0.311529 | ||||||||
\(712\) | 6.22167e13 | − | 6.22167e13i | 0.340022 | − | 0.340022i | ||||
\(713\) | −2.02082e14 | − | 2.02082e14i | −1.09668 | − | 1.09668i | ||||
\(714\) | 4.22388e12i | 0.0227625i | ||||||||
\(715\) | −9.02761e12 | + | 1.83124e13i | −0.0483106 | + | 0.0979975i | ||||
\(716\) | 2.40809e14 | 1.27970 | ||||||||
\(717\) | 9.90927e12 | − | 9.90927e12i | 0.0522933 | − | 0.0522933i | ||||
\(718\) | 3.25654e13 | + | 3.25654e13i | 0.170661 | + | 0.170661i | ||||
\(719\) | − | 8.16574e11i | − | 0.00424963i | −0.999998 | − | 0.00212481i | \(-0.999324\pi\) | ||
0.999998 | − | 0.00212481i | \(-0.000676350\pi\) | |||||||
\(720\) | −1.33363e14 | + | 4.52905e13i | −0.689242 | + | 0.234070i | ||||
\(721\) | −2.15054e13 | −0.110375 | ||||||||
\(722\) | 4.41599e12 | − | 4.41599e12i | 0.0225083 | − | 0.0225083i | ||||
\(723\) | −5.22816e13 | − | 5.22816e13i | −0.264641 | − | 0.264641i | ||||
\(724\) | − | 1.49229e14i | − | 0.750171i | ||||||
\(725\) | 9.91485e13 | + | 1.29141e14i | 0.494989 | + | 0.644724i | ||||
\(726\) | 1.68188e13 | 0.0833898 | ||||||||
\(727\) | 1.34638e14 | − | 1.34638e14i | 0.662974 | − | 0.662974i | −0.293106 | − | 0.956080i | \(-0.594689\pi\) |
0.956080 | + | 0.293106i | \(0.0946889\pi\) | |||||||
\(728\) | −1.42854e13 | − | 1.42854e13i | −0.0698611 | − | 0.0698611i | ||||
\(729\) | 2.55197e13i | 0.123947i | ||||||||
\(730\) | −7.95496e12 | − | 2.34242e13i | −0.0383728 | − | 0.112993i | ||||
\(731\) | −4.58188e14 | −2.19511 | ||||||||
\(732\) | 2.23300e13 | − | 2.23300e13i | 0.106251 | − | 0.106251i | ||||
\(733\) | −1.94919e14 | − | 1.94919e14i | −0.921157 | − | 0.921157i | 0.0759543 | − | 0.997111i | \(-0.475800\pi\) |
−0.997111 | + | 0.0759543i | \(0.975800\pi\) | |||||||
\(734\) | 3.80675e12i | 0.0178679i | ||||||||
\(735\) | −7.52750e13 | − | 3.71089e13i | −0.350925 | − | 0.172998i | ||||
\(736\) | 2.02873e14 | 0.939367 | ||||||||
\(737\) | 1.48572e13 | − | 1.48572e13i | 0.0683281 | − | 0.0683281i | ||||
\(738\) | 1.28513e13 | + | 1.28513e13i | 0.0587035 | + | 0.0587035i | ||||
\(739\) | 1.67761e14i | 0.761146i | 0.924751 | + | 0.380573i | \(0.124273\pi\) | ||||
−0.924751 | + | 0.380573i | \(0.875727\pi\) | |||||||
\(740\) | 1.24165e14 | − | 2.51867e14i | 0.559553 | − | 1.13505i | ||||
\(741\) | 1.10683e14 | 0.495438 | ||||||||
\(742\) | −4.50795e12 | + | 4.50795e12i | −0.0200429 | + | 0.0200429i | ||||
\(743\) | 6.39674e13 | + | 6.39674e13i | 0.282497 | + | 0.282497i | 0.834104 | − | 0.551607i | \(-0.185985\pi\) |
−0.551607 | + | 0.834104i | \(0.685985\pi\) | |||||||
\(744\) | 3.60091e13i | 0.157960i | ||||||||
\(745\) | 1.65552e14 | − | 5.62223e13i | 0.721364 | − | 0.244978i | ||||
\(746\) | −4.97835e13 | −0.215472 | ||||||||
\(747\) | −1.70124e14 | + | 1.70124e14i | −0.731413 | + | 0.731413i | ||||
\(748\) | 1.90189e13 | + | 1.90189e13i | 0.0812228 | + | 0.0812228i | ||||
\(749\) | − | 2.38039e13i | − | 0.100981i | ||||||
\(750\) | 1.66160e13 | + | 1.10928e13i | 0.0700197 | + | 0.0467449i | ||||
\(751\) | 1.82829e14 | 0.765323 | 0.382661 | − | 0.923889i | \(-0.375008\pi\) | ||||
0.382661 | + | 0.923889i | \(0.375008\pi\) | |||||||
\(752\) | −6.14915e13 | + | 6.14915e13i | −0.255697 | + | 0.255697i | ||||
\(753\) | −7.04657e13 | − | 7.04657e13i | −0.291074 | − | 0.291074i | ||||
\(754\) | 4.54802e13i | 0.186623i | ||||||||
\(755\) | 1.02737e14 | + | 3.02521e14i | 0.418787 | + | 1.23316i | ||||
\(756\) | 3.91378e13 | 0.158485 | ||||||||
\(757\) | −2.32023e14 | + | 2.32023e14i | −0.933363 | + | 0.933363i | −0.997914 | − | 0.0645511i | \(-0.979438\pi\) |
0.0645511 | + | 0.997914i | \(0.479438\pi\) | |||||||
\(758\) | −1.60007e13 | − | 1.60007e13i | −0.0639428 | − | 0.0639428i | ||||
\(759\) | 1.63336e13i | 0.0648445i | ||||||||
\(760\) | −9.80238e13 | − | 4.83236e13i | −0.386602 | − | 0.190586i | ||||
\(761\) | −6.14463e13 | −0.240753 | −0.120377 | − | 0.992728i | \(-0.538410\pi\) | ||||
−0.120377 | + | 0.992728i | \(0.538410\pi\) | |||||||
\(762\) | 1.99863e12 | − | 1.99863e12i | 0.00777959 | − | 0.00777959i | ||||
\(763\) | 1.18024e13 | + | 1.18024e13i | 0.0456401 | + | 0.0456401i | ||||
\(764\) | 2.98566e14i | 1.14703i | ||||||||
\(765\) | 1.18441e14 | − | 2.40255e14i | 0.452057 | − | 0.916992i | ||||
\(766\) | 7.37235e13 | 0.279552 | ||||||||
\(767\) | 2.21891e14 | − | 2.21891e14i | 0.835917 | − | 0.835917i | ||||
\(768\) | 4.71048e13 | + | 4.71048e13i | 0.176303 | + | 0.176303i | ||||
\(769\) | 2.33449e14i | 0.868080i | 0.900894 | + | 0.434040i | \(0.142912\pi\) | ||||
−0.900894 | + | 0.434040i | \(0.857088\pi\) | |||||||
\(770\) | −1.12409e12 | + | 3.81747e11i | −0.00415287 | + | 0.00141033i | ||||
\(771\) | 6.06505e13 | 0.222619 | ||||||||
\(772\) | −2.37420e14 | + | 2.37420e14i | −0.865826 | + | 0.865826i | ||||
\(773\) | 1.25932e13 | + | 1.25932e13i | 0.0456288 | + | 0.0456288i | 0.729553 | − | 0.683924i | \(-0.239728\pi\) |
−0.683924 | + | 0.729553i | \(0.739728\pi\) | |||||||
\(774\) | − | 8.43443e13i | − | 0.303634i | ||||||
\(775\) | 2.12496e14 | − | 1.63145e14i | 0.760049 | − | 0.583531i | ||||
\(776\) | −3.46028e13 | −0.122971 | ||||||||
\(777\) | −2.38978e13 | + | 2.38978e13i | −0.0843826 | + | 0.0843826i | ||||
\(778\) | −6.07305e13 | − | 6.07305e13i | −0.213063 | − | 0.213063i | ||||
\(779\) | − | 1.50431e14i | − | 0.524384i | ||||||
\(780\) | −4.09972e13 | − | 1.20721e14i | −0.141998 | − | 0.418127i | ||||
\(781\) | −2.67607e13 | −0.0920964 | ||||||||
\(782\) | −8.43261e13 | + | 8.43261e13i | −0.288355 | + | 0.288355i | ||||
\(783\) | −1.27330e14 | − | 1.27330e14i | −0.432634 | − | 0.432634i | ||||
\(784\) | − | 2.46921e14i | − | 0.833640i | ||||||
\(785\) | −4.71055e12 | − | 2.32220e12i | −0.0158024 | − | 0.00779024i | ||||
\(786\) | −8.68743e12 | −0.0289587 | ||||||||
\(787\) | 9.94162e12 | − | 9.94162e12i | 0.0329294 | − | 0.0329294i | −0.690450 | − | 0.723380i | \(-0.742588\pi\) |
0.723380 | + | 0.690450i | \(0.242588\pi\) | |||||||
\(788\) | −1.92018e14 | − | 1.92018e14i | −0.631990 | − | 0.631990i | ||||
\(789\) | 1.79099e14i | 0.585743i | ||||||||
\(790\) | −1.04455e13 | + | 2.11885e13i | −0.0339464 | + | 0.0688597i | ||||
\(791\) | 3.37514e13 | 0.108996 | ||||||||
\(792\) | −7.15534e12 | + | 7.15534e12i | −0.0229617 | + | 0.0229617i | ||||
\(793\) | −9.48456e13 | − | 9.48456e13i | −0.302448 | − | 0.302448i | ||||
\(794\) | − | 5.35333e13i | − | 0.169637i | ||||||
\(795\) | −7.78577e13 | + | 2.64408e13i | −0.245169 | + | 0.0832604i | ||||
\(796\) | −1.30194e14 | −0.407404 | ||||||||
\(797\) | 3.81477e14 | − | 3.81477e14i | 1.18625 | − | 1.18625i | 0.208155 | − | 0.978096i | \(-0.433254\pi\) |
0.978096 | − | 0.208155i | \(-0.0667457\pi\) | |||||||
\(798\) | 4.55077e12 | + | 4.55077e12i | 0.0140627 | + | 0.0140627i | ||||
\(799\) | − | 1.65389e14i | − | 0.507893i | ||||||
\(800\) | −2.47723e13 | + | 1.88556e14i | −0.0755989 | + | 0.575426i | ||||
\(801\) | 3.28587e14 | 0.996525 | ||||||||
\(802\) | 4.66148e13 | − | 4.66148e13i | 0.140492 | − | 0.140492i | ||||
\(803\) | 1.34061e13 | + | 1.34061e13i | 0.0401535 | + | 0.0401535i | ||||
\(804\) | 1.31205e14i | 0.390544i | ||||||||
\(805\) | 3.86666e13 | + | 1.13858e14i | 0.114382 | + | 0.336809i | ||||
\(806\) | 7.48357e13 | 0.220006 | ||||||||
\(807\) | 9.45177e13 | − | 9.45177e13i | 0.276150 | − | 0.276150i | ||||
\(808\) | 2.04721e11 | + | 2.04721e11i | 0.000594436 | + | 0.000594436i | ||||
\(809\) | 7.59808e13i | 0.219261i | 0.993972 | + | 0.109630i | \(0.0349668\pi\) | ||||
−0.993972 | + | 0.109630i | \(0.965033\pi\) | |||||||
\(810\) | 3.34025e13 | + | 1.64667e13i | 0.0957974 | + | 0.0472261i | ||||
\(811\) | −3.51474e14 | −1.00182 | −0.500909 | − | 0.865500i | \(-0.667001\pi\) | ||||
−0.500909 | + | 0.865500i | \(0.667001\pi\) | |||||||
\(812\) | 4.27180e13 | − | 4.27180e13i | 0.121013 | − | 0.121013i | ||||
\(813\) | 1.15922e14 | + | 1.15922e14i | 0.326371 | + | 0.326371i | ||||
\(814\) | − | 9.42058e12i | − | 0.0263606i | ||||||
\(815\) | −8.49983e13 | + | 1.72418e14i | −0.236386 | + | 0.479506i | ||||
\(816\) | −1.60283e14 | −0.443034 | ||||||||
\(817\) | −4.93648e14 | + | 4.93648e14i | −1.35615 | + | 1.35615i | ||||
\(818\) | 2.69354e13 | + | 2.69354e13i | 0.0735457 | + | 0.0735457i | ||||
\(819\) | − | 7.54460e13i | − | 0.204747i | ||||||
\(820\) | −1.64073e14 | + | 5.57199e13i | −0.442556 | + | 0.150294i | ||||
\(821\) | −5.87456e13 | −0.157492 | −0.0787462 | − | 0.996895i | \(-0.525092\pi\) | ||||
−0.0787462 | + | 0.996895i | \(0.525092\pi\) | |||||||
\(822\) | 4.43767e12 | − | 4.43767e12i | 0.0118249 | − | 0.0118249i | ||||
\(823\) | 2.06649e14 | + | 2.06649e14i | 0.547311 | + | 0.547311i | 0.925662 | − | 0.378351i | \(-0.123509\pi\) |
−0.378351 | + | 0.925662i | \(0.623509\pi\) | |||||||
\(824\) | 7.65037e13i | 0.201394i | ||||||||
\(825\) | −1.51809e13 | − | 1.99445e12i | −0.0397216 | − | 0.00521859i | ||||
\(826\) | 1.82463e13 | 0.0474541 | ||||||||
\(827\) | 2.86687e14 | − | 2.86687e14i | 0.741107 | − | 0.741107i | −0.231684 | − | 0.972791i | \(-0.574424\pi\) |
0.972791 | + | 0.231684i | \(0.0744236\pi\) | |||||||
\(828\) | 3.54615e14 | + | 3.54615e14i | 0.911184 | + | 0.911184i | ||||
\(829\) | 9.04765e13i | 0.231080i | 0.993303 | + | 0.115540i | \(0.0368599\pi\) | ||||
−0.993303 | + | 0.115540i | \(0.963140\pi\) | |||||||
\(830\) | 3.22884e13 | + | 9.50766e13i | 0.0819702 | + | 0.241370i | ||||
\(831\) | 2.66381e14 | 0.672199 | ||||||||
\(832\) | 2.39284e14 | − | 2.39284e14i | 0.600202 | − | 0.600202i | ||||
\(833\) | 3.32063e14 | + | 3.32063e14i | 0.827933 | + | 0.827933i | ||||
\(834\) | − | 4.43864e13i | − | 0.110007i | ||||||
\(835\) | −5.22030e14 | − | 2.57350e14i | −1.28607 | − | 0.634003i | ||||
\(836\) | 4.09816e13 | 0.100359 | ||||||||
\(837\) | −2.09515e14 | + | 2.09515e14i | −0.510022 | + | 0.510022i | ||||
\(838\) | −1.96715e13 | − | 1.96715e13i | −0.0476011 | − | 0.0476011i | ||||
\(839\) | − | 3.57580e14i | − | 0.860128i | −0.902798 | − | 0.430064i | \(-0.858491\pi\) | ||
0.902798 | − | 0.430064i | \(-0.141509\pi\) | |||||||
\(840\) | 6.69919e12 | − | 1.35892e13i | 0.0160187 | − | 0.0324936i | ||||
\(841\) | 1.42753e14 | 0.339316 | ||||||||
\(842\) | −1.17736e13 | + | 1.17736e13i | −0.0278196 | + | 0.0278196i | ||||
\(843\) | −5.65413e13 | − | 5.65413e13i | −0.132809 | − | 0.132809i | ||||
\(844\) | − | 2.81858e14i | − | 0.658139i | ||||||
\(845\) | −1.04829e14 | + | 3.56004e13i | −0.243332 | + | 0.0826364i | ||||
\(846\) | 3.04451e13 | 0.0702532 | ||||||||
\(847\) | −6.70985e13 | + | 6.70985e13i | −0.153920 | + | 0.153920i | ||||
\(848\) | −1.71063e14 | − | 1.71063e14i | −0.390101 | − | 0.390101i | ||||
\(849\) | − | 2.13371e14i | − | 0.483724i | ||||||
\(850\) | −6.80780e13 | − | 8.86716e13i | −0.153431 | − | 0.199844i | ||||
\(851\) | −9.54197e14 | −2.13791 | ||||||||
\(852\) | 1.18163e14 | − | 1.18163e14i | 0.263198 | − | 0.263198i | ||||
\(853\) | 7.28675e13 | + | 7.28675e13i | 0.161357 | + | 0.161357i | 0.783168 | − | 0.621810i | \(-0.213603\pi\) |
−0.621810 | + | 0.783168i | \(0.713603\pi\) | |||||||
\(854\) | − | 7.79922e12i | − | 0.0171697i | ||||||
\(855\) | −1.31242e14 | − | 3.86455e14i | −0.287238 | − | 0.845802i | ||||
\(856\) | −8.46807e13 | −0.184253 | ||||||||
\(857\) | 3.16590e14 | − | 3.16590e14i | 0.684847 | − | 0.684847i | −0.276242 | − | 0.961088i | \(-0.589089\pi\) |
0.961088 | + | 0.276242i | \(0.0890890\pi\) | |||||||
\(858\) | −3.02436e12 | − | 3.02436e12i | −0.00650425 | − | 0.00650425i | ||||
\(859\) | 1.37150e13i | 0.0293244i | 0.999893 | + | 0.0146622i | \(0.00466729\pi\) | ||||
−0.999893 | + | 0.0146622i | \(0.995333\pi\) | |||||||
\(860\) | 7.21264e14 | + | 3.55567e14i | 1.53321 | + | 0.755840i | ||||
\(861\) | 2.08545e13 | 0.0440742 | ||||||||
\(862\) | 9.97563e13 | − | 9.97563e13i | 0.209606 | − | 0.209606i | ||||
\(863\) | 2.41396e13 | + | 2.41396e13i | 0.0504286 | + | 0.0504286i | 0.731871 | − | 0.681443i | \(-0.238647\pi\) |
−0.681443 | + | 0.731871i | \(0.738647\pi\) | |||||||
\(864\) | − | 2.10336e14i | − | 0.436862i | ||||||
\(865\) | −2.17505e14 | + | 4.41205e14i | −0.449147 | + | 0.911088i | ||||
\(866\) | −9.25940e13 | −0.190105 | ||||||||
\(867\) | 7.31433e13 | − | 7.31433e13i | 0.149307 | − | 0.149307i | ||||
\(868\) | −7.02906e13 | − | 7.02906e13i | −0.142659 | − | 0.142659i | ||||
\(869\) | − | 1.81047e13i | − | 0.0365336i | ||||||
\(870\) | −3.22960e13 | + | 1.09678e13i | −0.0647965 | + | 0.0220052i | ||||
\(871\) | 5.57287e14 | 1.11170 | ||||||||
\(872\) | 4.19860e13 | − | 4.19860e13i | 0.0832764 | − | 0.0832764i | ||||
\(873\) | −9.13745e13 | − | 9.13745e13i | −0.180200 | − | 0.180200i | ||||
\(874\) | 1.81704e14i | 0.356293i | ||||||||
\(875\) | −1.10544e14 | + | 2.20349e13i | −0.215523 | + | 0.0429606i | ||||
\(876\) | −1.18390e14 | −0.229506 | ||||||||
\(877\) | −3.68225e14 | + | 3.68225e14i | −0.709766 | + | 0.709766i | −0.966486 | − | 0.256720i | \(-0.917358\pi\) |
0.256720 | + | 0.966486i | \(0.417358\pi\) | |||||||
\(878\) | −1.08104e14 | − | 1.08104e14i | −0.207190 | − | 0.207190i | ||||
\(879\) | − | 2.85703e13i | − | 0.0544465i | ||||||
\(880\) | −1.44861e13 | − | 4.26559e13i | −0.0274498 | − | 0.0808287i | ||||
\(881\) | 1.21911e14 | 0.229700 | 0.114850 | − | 0.993383i | \(-0.463361\pi\) | ||||
0.114850 | + | 0.993383i | \(0.463361\pi\) | |||||||
\(882\) | −6.11268e13 | + | 6.11268e13i | −0.114522 | + | 0.114522i | ||||
\(883\) | 7.38601e13 | + | 7.38601e13i | 0.137596 | + | 0.137596i | 0.772550 | − | 0.634954i | \(-0.218981\pi\) |
−0.634954 | + | 0.772550i | \(0.718981\pi\) | |||||||
\(884\) | 7.13391e14i | 1.32150i | ||||||||
\(885\) | 2.11078e14 | + | 1.04057e14i | 0.388800 | + | 0.191670i | ||||
\(886\) | −2.71451e13 | −0.0497190 | ||||||||
\(887\) | −4.03967e14 | + | 4.03967e14i | −0.735746 | + | 0.735746i | −0.971752 | − | 0.236005i | \(-0.924162\pi\) |
0.236005 | + | 0.971752i | \(0.424162\pi\) | |||||||
\(888\) | 8.50146e13 | + | 8.50146e13i | 0.153967 | + | 0.153967i | ||||
\(889\) | 1.59470e13i | 0.0287191i | ||||||||
\(890\) | 6.06363e13 | − | 1.23000e14i | 0.108588 | − | 0.220270i | ||||
\(891\) | −2.85410e13 | −0.0508254 | ||||||||
\(892\) | 4.31565e14 | − | 4.31565e14i | 0.764227 | − | 0.764227i | ||||
\(893\) | −1.78188e14 | − | 1.78188e14i | −0.313778 | − | 0.313778i | ||||
\(894\) | 3.66269e13i | 0.0641377i | ||||||||
\(895\) | 7.26319e14 | − | 2.46661e14i | 1.26477 | − | 0.429522i | ||||
\(896\) | 9.33312e13 | 0.161617 | ||||||||
\(897\) | −3.06333e14 | + | 3.06333e14i | −0.527511 | + | 0.527511i | ||||
\(898\) | 1.57625e14 | + | 1.57625e14i | 0.269925 | + | 0.269925i | ||||
\(899\) | 4.57362e14i | 0.778864i | ||||||||
\(900\) | −3.72890e14 | + | 2.86288e14i | −0.631492 | + | 0.484831i | ||||
\(901\) | 4.60095e14 | 0.774861 | ||||||||
\(902\) | −4.11046e12 | + | 4.11046e12i | −0.00688426 | + | 0.00688426i | ||||
\(903\) | −6.84353e13 | − | 6.84353e13i | −0.113983 | − | 0.113983i | ||||
\(904\) | − | 1.20068e14i | − | 0.198877i | ||||||
\(905\) | −1.52855e14 | − | 4.50098e14i | −0.251789 | − | 0.741421i | ||||
\(906\) | −6.69300e13 | −0.109643 | ||||||||
\(907\) | −1.93179e14 | + | 1.93179e14i | −0.314719 | + | 0.314719i | −0.846734 | − | 0.532016i | \(-0.821435\pi\) |
0.532016 | + | 0.846734i | \(0.321435\pi\) | |||||||
\(908\) | −6.64821e14 | − | 6.64821e14i | −1.07715 | − | 1.07715i | ||||
\(909\) | 1.08120e12i | 0.00174215i | ||||||||
\(910\) | −2.82417e13 | − | 1.39225e13i | −0.0452568 | − | 0.0223106i | ||||
\(911\) | 8.80416e14 | 1.40312 | 0.701562 | − | 0.712608i | \(-0.252486\pi\) | ||||
0.701562 | + | 0.712608i | \(0.252486\pi\) | |||||||
\(912\) | −1.72688e14 | + | 1.72688e14i | −0.273708 | + | 0.273708i | ||||
\(913\) | −5.44139e13 | − | 5.44139e13i | −0.0857741 | − | 0.0857741i | ||||
\(914\) | 4.06147e13i | 0.0636725i | ||||||||
\(915\) | 4.44782e13 | − | 9.02234e13i | 0.0693493 | − | 0.140674i | ||||
\(916\) | −4.67629e14 | −0.725144 | ||||||||
\(917\) | 3.46584e13 | − | 3.46584e13i | 0.0534518 | − | 0.0534518i | ||||
\(918\) | 8.74280e13 | + | 8.74280e13i | 0.134103 | + | 0.134103i | ||||
\(919\) | − | 2.50083e14i | − | 0.381510i | −0.981638 | − | 0.190755i | \(-0.938906\pi\) | ||
0.981638 | − | 0.190755i | \(-0.0610937\pi\) | |||||||
\(920\) | 4.05040e14 | − | 1.37553e14i | 0.614553 | − | 0.208705i | ||||
\(921\) | −3.35152e14 | −0.505760 | ||||||||
\(922\) | 2.82281e13 | − | 2.82281e13i | 0.0423669 | − | 0.0423669i | ||||
\(923\) | −5.01891e14 | − | 5.01891e14i | −0.749206 | − | 0.749206i | ||||
\(924\) | 5.68135e12i | 0.00843513i | ||||||||
\(925\) | 1.16514e14 | − | 8.86855e14i | 0.172056 | − | 1.30962i | ||||
\(926\) | −4.91984e13 | −0.0722596 | ||||||||
\(927\) | −2.02021e14 | + | 2.02021e14i | −0.295119 | + | 0.295119i | ||||
\(928\) | −2.29576e14 | − | 2.29576e14i | −0.333570 | − | 0.333570i | ||||
\(929\) | − | 4.22608e12i | − | 0.00610744i | −0.999995 | − | 0.00305372i | \(-0.999028\pi\) | ||
0.999995 | − | 0.00305372i | \(-0.000972031\pi\) | |||||||
\(930\) | 1.80471e13 | + | 5.31416e13i | 0.0259414 | + | 0.0763871i | ||||
\(931\) | 7.15523e14 | 1.02300 | ||||||||
\(932\) | −2.15753e14 | + | 2.15753e14i | −0.306816 | + | 0.306816i | ||||
\(933\) | 1.08482e14 | + | 1.08482e14i | 0.153444 | + | 0.153444i | ||||
\(934\) | 1.23389e14i | 0.173597i | ||||||||
\(935\) | 7.68452e13 | + | 3.78830e13i | 0.107537 | + | 0.0530135i | ||||
\(936\) | −2.68393e14 | −0.373588 | ||||||||
\(937\) | 8.53049e14 | − | 8.53049e14i | 1.18107 | − | 1.18107i | 0.201604 | − | 0.979467i | \(-0.435385\pi\) |
0.979467 | − | 0.201604i | \(-0.0646154\pi\) | |||||||
\(938\) | 2.29130e13 | + | 2.29130e13i | 0.0315550 | + | 0.0315550i | ||||
\(939\) | − | 1.18676e14i | − | 0.162569i | ||||||
\(940\) | −1.28347e14 | + | 2.60349e14i | −0.174882 | + | 0.354746i | ||||
\(941\) | −7.60983e14 | −1.03140 | −0.515699 | − | 0.856770i | \(-0.672468\pi\) | ||||
−0.515699 | + | 0.856770i | \(0.672468\pi\) | |||||||
\(942\) | 7.77965e11 | − | 7.77965e11i | 0.00104883 | − | 0.00104883i | ||||
\(943\) | 4.16342e14 | + | 4.16342e14i | 0.558331 | + | 0.558331i | ||||
\(944\) | 6.92389e14i | 0.923614i | ||||||||
\(945\) | 1.18046e14 | − | 4.00889e13i | 0.156636 | − | 0.0531943i | ||||
\(946\) | 2.69774e13 | 0.0356077 | ||||||||
\(947\) | −2.06394e14 | + | 2.06394e14i | −0.270987 | + | 0.270987i | −0.829497 | − | 0.558511i | \(-0.811373\pi\) |
0.558511 | + | 0.829497i | \(0.311373\pi\) | |||||||
\(948\) | 7.99418e13 | + | 7.99418e13i | 0.104408 | + | 0.104408i | ||||
\(949\) | 5.02855e14i | 0.653299i | ||||||||
\(950\) | −1.68881e14 | − | 2.21874e13i | −0.218254 | − | 0.0286740i | ||||
\(951\) | 4.26489e13 | 0.0548284 | ||||||||
\(952\) | −5.99466e13 | + | 5.99466e13i | −0.0766619 | + | 0.0766619i | ||||
\(953\) | 3.44966e14 | + | 3.44966e14i | 0.438845 | + | 0.438845i | 0.891623 | − | 0.452778i | \(-0.149567\pi\) |
−0.452778 | + | 0.891623i | \(0.649567\pi\) | |||||||
\(954\) | 8.46953e13i | 0.107181i | ||||||||
\(955\) | 3.05822e14 | + | 9.00524e14i | 0.384992 | + | 1.13365i | ||||
\(956\) | 1.37623e14 | 0.172346 | ||||||||
\(957\) | 1.84835e13 | − | 1.84835e13i | 0.0230263 | − | 0.0230263i | ||||
\(958\) | −2.09827e14 | − | 2.09827e14i | −0.260036 | − | 0.260036i | ||||
\(959\) | 3.54081e13i | 0.0436525i | ||||||||
\(960\) | 2.27623e14 | + | 1.12213e14i | 0.279165 | + | 0.137622i | ||||
\(961\) | −6.70591e13 | −0.0818165 | ||||||||
\(962\) | 1.76681e14 | − | 1.76681e14i | 0.214444 | − | 0.214444i | ||||
\(963\) | −2.23614e14 | − | 2.23614e14i | −0.270002 | − | 0.270002i | ||||
\(964\) | − | 7.26103e14i | − | 0.872194i | ||||||
\(965\) | −4.72907e14 | + | 9.59286e14i | −0.565118 | + | 1.14633i | ||||
\(966\) | −2.51900e13 | −0.0299462 | ||||||||
\(967\) | −5.84321e14 | + | 5.84321e14i | −0.691065 | + | 0.691065i | −0.962466 | − | 0.271401i | \(-0.912513\pi\) |
0.271401 | + | 0.962466i | \(0.412513\pi\) | |||||||
\(968\) | 2.38698e14 | + | 2.38698e14i | 0.280848 | + | 0.280848i | ||||
\(969\) | − | 4.64465e14i | − | 0.543668i | ||||||
\(970\) | −5.10661e13 | + | 1.73423e13i | −0.0594668 | + | 0.0201952i | ||||
\(971\) | −1.97850e14 | −0.229213 | −0.114606 | − | 0.993411i | \(-0.536561\pi\) | ||||
−0.114606 | + | 0.993411i | \(0.536561\pi\) | |||||||
\(972\) | 5.68458e14 | − | 5.68458e14i | 0.655190 | − | 0.655190i | ||||
\(973\) | 1.77079e14 | + | 1.77079e14i | 0.203050 | + | 0.203050i | ||||
\(974\) | − | 1.56464e14i | − | 0.178492i | ||||||
\(975\) | −2.47308e14 | − | 3.22119e14i | −0.280683 | − | 0.365590i | ||||
\(976\) | 2.95956e14 | 0.334178 | ||||||||
\(977\) | 2.11691e14 | − | 2.11691e14i | 0.237809 | − | 0.237809i | −0.578133 | − | 0.815942i | \(-0.696219\pi\) |
0.815942 | + | 0.578133i | \(0.196219\pi\) | |||||||
\(978\) | −2.84755e13 | − | 2.84755e13i | −0.0318256 | − | 0.0318256i | ||||
\(979\) | 1.05098e14i | 0.116864i | ||||||||
\(980\) | −2.65031e14 | − | 7.80412e14i | −0.293202 | − | 0.863363i | ||||
\(981\) | 2.21742e14 | 0.244064 | ||||||||
\(982\) | −1.06660e14 | + | 1.06660e14i | −0.116800 | + | 0.116800i | ||||
\(983\) | 6.31966e14 | + | 6.31966e14i | 0.688535 | + | 0.688535i | 0.961908 | − | 0.273373i | \(-0.0881394\pi\) |
−0.273373 | + | 0.961908i | \(0.588139\pi\) | |||||||
\(984\) | − | 7.41883e13i | − | 0.0804193i | ||||||
\(985\) | −7.75841e14 | − | 3.82473e14i | −0.836742 | − | 0.412496i | ||||
\(986\) | 1.90851e14 | 0.204790 | ||||||||
\(987\) | 2.47026e13 | − | 2.47026e13i | 0.0263728 | − | 0.0263728i | ||||
\(988\) | 7.68600e14 | + | 7.68600e14i | 0.816424 | + | 0.816424i | ||||
\(989\) | − | 2.73250e15i | − | 2.88788i | ||||||
\(990\) | −6.97359e12 | + | 1.41458e13i | −0.00733298 | + | 0.0148748i | ||||
\(991\) | −1.45360e15 | −1.52082 | −0.760409 | − | 0.649445i | \(-0.775001\pi\) | ||||
−0.760409 | + | 0.649445i | \(0.775001\pi\) | |||||||
\(992\) | −3.77758e14 | + | 3.77758e14i | −0.393238 | + | 0.393238i | ||||
\(993\) | −1.95825e14 | − | 1.95825e14i | −0.202826 | − | 0.202826i | ||||
\(994\) | − | 4.12708e13i | − | 0.0425316i | ||||||
\(995\) | −3.92686e14 | + | 1.33358e14i | −0.402652 | + | 0.136742i | ||||
\(996\) | 4.80533e14 | 0.490260 | ||||||||
\(997\) | 4.52019e14 | − | 4.52019e14i | 0.458861 | − | 0.458861i | −0.439420 | − | 0.898282i | \(-0.644816\pi\) |
0.898282 | + | 0.439420i | \(0.144816\pi\) | |||||||
\(998\) | −4.21639e13 | − | 4.21639e13i | −0.0425881 | − | 0.0425881i | ||||
\(999\) | 9.89297e14i | 0.994258i |
(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.3.2 | yes | 8 | |
3.2 | odd | 2 | 45.11.g.a.28.3 | 8 | |||
4.3 | odd | 2 | 80.11.p.d.33.2 | 8 | |||
5.2 | odd | 4 | inner | 5.11.c.a.2.2 | ✓ | 8 | |
5.3 | odd | 4 | 25.11.c.a.7.3 | 8 | |||
5.4 | even | 2 | 25.11.c.a.18.3 | 8 | |||
15.2 | even | 4 | 45.11.g.a.37.3 | 8 | |||
20.7 | even | 4 | 80.11.p.d.17.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
5.11.c.a.2.2 | ✓ | 8 | 5.2 | odd | 4 | inner | |
5.11.c.a.3.2 | yes | 8 | 1.1 | even | 1 | trivial | |
25.11.c.a.7.3 | 8 | 5.3 | odd | 4 | |||
25.11.c.a.18.3 | 8 | 5.4 | even | 2 | |||
45.11.g.a.28.3 | 8 | 3.2 | odd | 2 | |||
45.11.g.a.37.3 | 8 | 15.2 | even | 4 | |||
80.11.p.d.17.2 | 8 | 20.7 | even | 4 | |||
80.11.p.d.33.2 | 8 | 4.3 | odd | 2 |