Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [448,2,Mod(255,448)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(448, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("448.255");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 448 = 2^{6} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 448.p (of order \(6\), degree \(2\), not 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: | \(3.57729801055\) |
Analytic rank: | \(1\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 112) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 255.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 448.255 |
Dual form | 448.2.p.a.383.1 |
$q$-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 \(\left(\mathbb{Z}/448\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.500000 | + | 0.866025i | −0.288675 | + | 0.500000i | −0.973494 | − | 0.228714i | \(-0.926548\pi\) |
0.684819 | + | 0.728714i | \(0.259881\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.50000 | + | 0.866025i | −0.670820 | + | 0.387298i | −0.796387 | − | 0.604787i | \(-0.793258\pi\) |
0.125567 | + | 0.992085i | \(0.459925\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.00000 | − | 1.73205i | −0.755929 | − | 0.654654i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | + | 1.73205i | 0.333333 | + | 0.577350i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.50000 | − | 0.866025i | −0.452267 | − | 0.261116i | 0.256520 | − | 0.966539i | \(-0.417424\pi\) |
−0.708787 | + | 0.705422i | \(0.750757\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 1.73205i | − | 0.447214i | ||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.50000 | − | 2.59808i | −1.09141 | − | 0.630126i | −0.157459 | − | 0.987526i | \(-0.550330\pi\) |
−0.933952 | + | 0.357400i | \(0.883663\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.50000 | − | 6.06218i | −0.802955 | − | 1.39076i | −0.917663 | − | 0.397360i | \(-0.869927\pi\) |
0.114708 | − | 0.993399i | \(-0.463407\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.50000 | − | 0.866025i | 0.545545 | − | 0.188982i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −7.50000 | + | 4.33013i | −1.56386 | + | 0.902894i | −0.566997 | + | 0.823720i | \(0.691895\pi\) |
−0.996861 | + | 0.0791743i | \(0.974772\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.00000 | + | 1.73205i | −0.200000 | + | 0.346410i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.00000 | −0.962250 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.00000 | 1.11417 | 0.557086 | − | 0.830455i | \(-0.311919\pi\) | ||||
0.557086 | + | 0.830455i | \(0.311919\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.50000 | − | 4.33013i | 0.449013 | − | 0.777714i | −0.549309 | − | 0.835619i | \(-0.685109\pi\) |
0.998322 | + | 0.0579057i | \(0.0184423\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.50000 | − | 0.866025i | 0.261116 | − | 0.150756i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.50000 | + | 0.866025i | 0.760639 | + | 0.146385i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.50000 | − | 4.33013i | −0.410997 | − | 0.711868i | 0.584002 | − | 0.811752i | \(-0.301486\pi\) |
−0.994999 | + | 0.0998840i | \(0.968153\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 6.92820i | − | 1.08200i | −0.841021 | − | 0.541002i | \(-0.818045\pi\) | ||
0.841021 | − | 0.541002i | \(-0.181955\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.46410i | 0.528271i | 0.964486 | + | 0.264135i | \(0.0850865\pi\) | ||||
−0.964486 | + | 0.264135i | \(0.914913\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.00000 | − | 1.73205i | −0.447214 | − | 0.258199i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.50000 | + | 2.59808i | 0.218797 | + | 0.378968i | 0.954441 | − | 0.298401i | \(-0.0964533\pi\) |
−0.735643 | + | 0.677369i | \(0.763120\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | + | 6.92820i | 0.142857 | + | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.50000 | − | 2.59808i | 0.630126 | − | 0.363803i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.50000 | + | 7.79423i | −0.618123 | + | 1.07062i | 0.371706 | + | 0.928351i | \(0.378773\pi\) |
−0.989828 | + | 0.142269i | \(0.954560\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.00000 | 0.404520 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.00000 | 0.927173 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.50000 | + | 7.79423i | −0.585850 | + | 1.01472i | 0.408919 | + | 0.912571i | \(0.365906\pi\) |
−0.994769 | + | 0.102151i | \(0.967427\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.50000 | + | 4.33013i | −0.960277 | + | 0.554416i | −0.896258 | − | 0.443533i | \(-0.853725\pi\) |
−0.0640184 | + | 0.997949i | \(0.520392\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.00000 | − | 5.19615i | 0.125988 | − | 0.654654i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.50000 | + | 2.59808i | 0.549762 | + | 0.317406i | 0.749026 | − | 0.662540i | \(-0.230522\pi\) |
−0.199264 | + | 0.979946i | \(0.563855\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | − | 8.66025i | − | 1.04257i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.46410i | 0.411113i | 0.978645 | + | 0.205557i | \(0.0659005\pi\) | ||||
−0.978645 | + | 0.205557i | \(0.934100\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.50000 | + | 0.866025i | 0.175562 | + | 0.101361i | 0.585206 | − | 0.810885i | \(-0.301014\pi\) |
−0.409644 | + | 0.912245i | \(0.634347\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.00000 | − | 1.73205i | −0.115470 | − | 0.200000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.50000 | + | 4.33013i | 0.170941 | + | 0.493464i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.50000 | − | 2.59808i | 0.506290 | − | 0.292306i | −0.225018 | − | 0.974355i | \(-0.572244\pi\) |
0.731307 | + | 0.682048i | \(0.238911\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 12.0000 | 1.31717 | 0.658586 | − | 0.752506i | \(-0.271155\pi\) | ||||
0.658586 | + | 0.752506i | \(0.271155\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.00000 | 0.976187 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.00000 | + | 5.19615i | −0.321634 | + | 0.557086i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −10.5000 | + | 6.06218i | −1.11300 | + | 0.642590i | −0.939604 | − | 0.342263i | \(-0.888807\pi\) |
−0.173394 | + | 0.984853i | \(0.555473\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.50000 | + | 4.33013i | 0.259238 | + | 0.449013i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 10.5000 | + | 6.06218i | 1.07728 | + | 0.621966i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 6.92820i | − | 0.703452i | −0.936103 | − | 0.351726i | \(-0.885595\pi\) | ||
0.936103 | − | 0.351726i | \(-0.114405\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 3.46410i | − | 0.348155i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.50000 | + | 2.59808i | 0.447767 | + | 0.258518i | 0.706887 | − | 0.707327i | \(-0.250099\pi\) |
−0.259120 | + | 0.965845i | \(0.583432\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.500000 | − | 0.866025i | −0.0492665 | − | 0.0853320i | 0.840341 | − | 0.542059i | \(-0.182355\pi\) |
−0.889607 | + | 0.456727i | \(0.849022\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.00000 | + | 3.46410i | −0.292770 | + | 0.338062i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.50000 | + | 2.59808i | −0.435031 | + | 0.251166i | −0.701488 | − | 0.712681i | \(-0.747481\pi\) |
0.266456 | + | 0.963847i | \(0.414147\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.50000 | − | 9.52628i | 0.526804 | − | 0.912452i | −0.472708 | − | 0.881219i | \(-0.656723\pi\) |
0.999512 | − | 0.0312328i | \(-0.00994332\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.00000 | 0.474579 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.00000 | 0.564433 | 0.282216 | − | 0.959351i | \(-0.408930\pi\) | ||||
0.282216 | + | 0.959351i | \(0.408930\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.50000 | − | 12.9904i | 0.699379 | − | 1.21136i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.50000 | + | 12.9904i | 0.412514 | + | 1.19083i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.00000 | − | 6.92820i | −0.363636 | − | 0.629837i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 6.00000 | + | 3.46410i | 0.541002 | + | 0.312348i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 12.1244i | − | 1.08444i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.46410i | 0.307389i | 0.988118 | + | 0.153695i | \(0.0491172\pi\) | ||||
−0.988118 | + | 0.153695i | \(0.950883\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.00000 | − | 1.73205i | −0.264135 | − | 0.152499i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.5000 | + | 18.1865i | 0.917389 | + | 1.58896i | 0.803365 | + | 0.595487i | \(0.203041\pi\) |
0.114024 | + | 0.993478i | \(0.463626\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.50000 | + | 18.1865i | −0.303488 | + | 1.57697i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.50000 | − | 4.33013i | 0.645497 | − | 0.372678i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.50000 | + | 2.59808i | −0.128154 | + | 0.221969i | −0.922961 | − | 0.384893i | \(-0.874238\pi\) |
0.794808 | + | 0.606861i | \(0.207572\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.00000 | −0.339276 | −0.169638 | − | 0.985506i | \(-0.554260\pi\) | ||||
−0.169638 | + | 0.985506i | \(0.554260\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.00000 | −0.252646 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.00000 | + | 5.19615i | −0.747409 | + | 0.431517i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.50000 | − | 2.59808i | −0.536111 | − | 0.214286i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −4.50000 | − | 7.79423i | −0.368654 | − | 0.638528i | 0.620701 | − | 0.784047i | \(-0.286848\pi\) |
−0.989355 | + | 0.145519i | \(0.953515\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.5000 | − | 6.06218i | −0.854478 | − | 0.493333i | 0.00768132 | − | 0.999970i | \(-0.497555\pi\) |
−0.862159 | + | 0.506637i | \(0.830888\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | − | 10.3923i | − | 0.840168i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 8.66025i | 0.695608i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.5000 | − | 7.79423i | −1.07742 | − | 0.622047i | −0.147219 | − | 0.989104i | \(-0.547032\pi\) |
−0.930199 | + | 0.367057i | \(0.880365\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −4.50000 | − | 7.79423i | −0.356873 | − | 0.618123i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 22.5000 | + | 4.33013i | 1.77325 | + | 0.341262i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −10.5000 | + | 6.06218i | −0.822423 | + | 0.474826i | −0.851251 | − | 0.524758i | \(-0.824156\pi\) |
0.0288280 | + | 0.999584i | \(0.490822\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.50000 | + | 2.59808i | −0.116775 | + | 0.202260i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −12.0000 | −0.928588 | −0.464294 | − | 0.885681i | \(-0.653692\pi\) | ||||
−0.464294 | + | 0.885681i | \(0.653692\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 13.0000 | 1.00000 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 7.00000 | − | 12.1244i | 0.535303 | − | 0.927173i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −7.50000 | + | 4.33013i | −0.570214 | + | 0.329213i | −0.757235 | − | 0.653143i | \(-0.773450\pi\) |
0.187021 | + | 0.982356i | \(0.440117\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.00000 | − | 1.73205i | 0.377964 | − | 0.130931i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.50000 | − | 7.79423i | −0.338241 | − | 0.585850i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −13.5000 | − | 7.79423i | −1.00904 | − | 0.582568i | −0.0981277 | − | 0.995174i | \(-0.531285\pi\) |
−0.910910 | + | 0.412606i | \(0.864619\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 6.92820i | − | 0.514969i | −0.966282 | − | 0.257485i | \(-0.917106\pi\) | ||
0.966282 | − | 0.257485i | \(-0.0828937\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 8.66025i | − | 0.640184i | ||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 7.50000 | + | 4.33013i | 0.551411 | + | 0.318357i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.50000 | + | 7.79423i | 0.329073 | + | 0.569970i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 10.0000 | + | 8.66025i | 0.727393 | + | 0.629941i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.5000 | − | 6.06218i | 0.759753 | − | 0.438644i | −0.0694538 | − | 0.997585i | \(-0.522126\pi\) |
0.829207 | + | 0.558941i | \(0.188792\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.50000 | − | 4.33013i | 0.179954 | − | 0.311689i | −0.761911 | − | 0.647682i | \(-0.775738\pi\) |
0.941865 | + | 0.335993i | \(0.109072\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 6.00000 | 0.427482 | 0.213741 | − | 0.976890i | \(-0.431435\pi\) | ||||
0.213741 | + | 0.976890i | \(0.431435\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.50000 | + | 9.52628i | −0.389885 | + | 0.675300i | −0.992434 | − | 0.122782i | \(-0.960818\pi\) |
0.602549 | + | 0.798082i | \(0.294152\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.50000 | + | 2.59808i | −0.317406 | + | 0.183254i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −12.0000 | − | 10.3923i | −0.842235 | − | 0.729397i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.00000 | + | 10.3923i | 0.419058 | + | 0.725830i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −15.0000 | − | 8.66025i | −1.04257 | − | 0.601929i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.1244i | 0.838659i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 24.2487i | − | 1.66935i | −0.550743 | − | 0.834675i | \(-0.685655\pi\) | ||
0.550743 | − | 0.834675i | \(-0.314345\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.00000 | − | 1.73205i | −0.205557 | − | 0.118678i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.00000 | − | 5.19615i | −0.204598 | − | 0.354375i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −12.5000 | + | 4.33013i | −0.848555 | + | 0.293948i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.50000 | + | 0.866025i | −0.101361 | + | 0.0585206i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −16.0000 | −1.07144 | −0.535720 | − | 0.844396i | \(-0.679960\pi\) | ||||
−0.535720 | + | 0.844396i | \(0.679960\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.00000 | −0.266667 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −10.5000 | + | 18.1865i | −0.696909 | + | 1.20708i | 0.272623 | + | 0.962121i | \(0.412109\pi\) |
−0.969533 | + | 0.244962i | \(0.921225\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.5000 | − | 6.06218i | 0.693860 | − | 0.400600i | −0.111197 | − | 0.993798i | \(-0.535468\pi\) |
0.805056 | + | 0.593198i | \(0.202135\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.50000 | − | 0.866025i | −0.296078 | − | 0.0569803i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.50000 | − | 2.59808i | −0.0982683 | − | 0.170206i | 0.812700 | − | 0.582683i | \(-0.197997\pi\) |
−0.910968 | + | 0.412477i | \(0.864664\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.50000 | − | 2.59808i | −0.293548 | − | 0.169480i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 5.19615i | 0.337526i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.3923i | 0.672222i | 0.941822 | + | 0.336111i | \(0.109112\pi\) | ||||
−0.941822 | + | 0.336111i | \(0.890888\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.5000 | − | 6.06218i | −0.676364 | − | 0.390499i | 0.122119 | − | 0.992515i | \(-0.461031\pi\) |
−0.798484 | + | 0.602016i | \(0.794364\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −8.00000 | − | 13.8564i | −0.513200 | − | 0.888889i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −7.50000 | − | 9.52628i | −0.479157 | − | 0.608612i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −6.00000 | + | 10.3923i | −0.380235 | + | 0.658586i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 15.0000 | 0.943042 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.50000 | + | 7.79423i | −0.281801 | + | 0.488094i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −16.5000 | + | 9.52628i | −1.02924 | + | 0.594233i | −0.916767 | − | 0.399422i | \(-0.869211\pi\) |
−0.112474 | + | 0.993655i | \(0.535878\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.50000 | + | 12.9904i | −0.155342 | + | 0.807183i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.00000 | + | 10.3923i | 0.371391 | + | 0.643268i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 7.50000 | + | 4.33013i | 0.462470 | + | 0.267007i | 0.713082 | − | 0.701080i | \(-0.247299\pi\) |
−0.250612 | + | 0.968088i | \(0.580632\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 15.5885i | − | 0.957591i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 12.1244i | − | 0.741999i | ||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.50000 | − | 0.866025i | −0.0914566 | − | 0.0528025i | 0.453574 | − | 0.891219i | \(-0.350149\pi\) |
−0.545031 | + | 0.838416i | \(0.683482\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.500000 | − | 0.866025i | −0.0303728 | − | 0.0526073i | 0.850439 | − | 0.526073i | \(-0.176336\pi\) |
−0.880812 | + | 0.473466i | \(0.843003\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3.00000 | − | 1.73205i | 0.180907 | − | 0.104447i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.50000 | + | 14.7224i | −0.510716 | + | 0.884585i | 0.489207 | + | 0.872167i | \(0.337286\pi\) |
−0.999923 | + | 0.0124177i | \(0.996047\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 10.0000 | 0.598684 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.00000 | 0.357930 | 0.178965 | − | 0.983855i | \(-0.442725\pi\) | ||||
0.178965 | + | 0.983855i | \(0.442725\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.50000 | − | 9.52628i | 0.326941 | − | 0.566279i | −0.654962 | − | 0.755662i | \(-0.727315\pi\) |
0.981903 | + | 0.189383i | \(0.0606488\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −10.5000 | + | 6.06218i | −0.621966 | + | 0.359092i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −12.0000 | + | 13.8564i | −0.708338 | + | 0.817918i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.00000 | + | 8.66025i | 0.294118 | + | 0.509427i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.00000 | + | 3.46410i | 0.351726 | + | 0.203069i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 20.7846i | − | 1.21425i | −0.794606 | − | 0.607125i | \(-0.792323\pi\) | ||
0.794606 | − | 0.607125i | \(-0.207677\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 15.5885i | − | 0.907595i | ||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 7.50000 | + | 4.33013i | 0.435194 | + | 0.251259i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.00000 | − | 6.92820i | 0.345834 | − | 0.399335i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.50000 | + | 2.59808i | −0.258518 | + | 0.149256i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 7.50000 | − | 12.9904i | 0.429449 | − | 0.743827i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −20.0000 | −1.14146 | −0.570730 | − | 0.821138i | \(-0.693340\pi\) | ||||
−0.570730 | + | 0.821138i | \(0.693340\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.00000 | 0.0568880 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 16.5000 | − | 28.5788i | 0.935629 | − | 1.62056i | 0.162121 | − | 0.986771i | \(-0.448167\pi\) |
0.773508 | − | 0.633786i | \(-0.218500\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 25.5000 | − | 14.7224i | 1.44135 | − | 0.832161i | 0.443406 | − | 0.896321i | \(-0.353770\pi\) |
0.997940 | + | 0.0641600i | \(0.0204368\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.00000 | + | 8.66025i | 0.169031 | + | 0.487950i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −10.5000 | − | 18.1865i | −0.589739 | − | 1.02146i | −0.994266 | − | 0.106932i | \(-0.965897\pi\) |
0.404528 | − | 0.914526i | \(-0.367436\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −9.00000 | − | 5.19615i | −0.503903 | − | 0.290929i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 5.19615i | − | 0.290021i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 36.3731i | 2.02385i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.50000 | + | 9.52628i | 0.304151 | + | 0.526804i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.50000 | − | 7.79423i | 0.0826977 | − | 0.429710i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 25.5000 | − | 14.7224i | 1.40161 | − | 0.809218i | 0.407049 | − | 0.913406i | \(-0.366558\pi\) |
0.994558 | + | 0.104188i | \(0.0332244\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 5.00000 | − | 8.66025i | 0.273998 | − | 0.474579i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −9.00000 | −0.491723 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.0000 | 0.762629 | 0.381314 | − | 0.924445i | \(-0.375472\pi\) | ||||
0.381314 | + | 0.924445i | \(0.375472\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3.00000 | + | 5.19615i | −0.162938 | + | 0.282216i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −7.50000 | + | 4.33013i | −0.406148 | + | 0.234490i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | − | 15.5885i | 0.539949 | − | 0.841698i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 7.50000 | + | 12.9904i | 0.403786 | + | 0.699379i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −7.50000 | − | 4.33013i | −0.402621 | − | 0.232453i | 0.284993 | − | 0.958530i | \(-0.408009\pi\) |
−0.687614 | + | 0.726076i | \(0.741342\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 27.7128i | 1.48343i | 0.670714 | + | 0.741716i | \(0.265988\pi\) | ||||
−0.670714 | + | 0.741716i | \(0.734012\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −16.5000 | − | 9.52628i | −0.878206 | − | 0.507033i | −0.00813978 | − | 0.999967i | \(-0.502591\pi\) |
−0.870067 | + | 0.492934i | \(0.835924\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.00000 | − | 5.19615i | −0.159223 | − | 0.275783i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −13.5000 | − | 2.59808i | −0.714496 | − | 0.137505i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −13.5000 | + | 7.79423i | −0.712503 | + | 0.411364i | −0.811987 | − | 0.583675i | \(-0.801614\pi\) |
0.0994843 | + | 0.995039i | \(0.468281\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.0000 | + | 25.9808i | −0.789474 | + | 1.36741i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 8.00000 | 0.419891 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.00000 | −0.157027 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.500000 | − | 0.866025i | 0.0260998 | − | 0.0452062i | −0.852680 | − | 0.522433i | \(-0.825025\pi\) |
0.878780 | + | 0.477227i | \(0.158358\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 12.0000 | − | 6.92820i | 0.624695 | − | 0.360668i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 22.5000 | − | 7.79423i | 1.16814 | − | 0.404656i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.50000 | − | 11.2583i | −0.336557 | − | 0.582934i | 0.647225 | − | 0.762299i | \(-0.275929\pi\) |
−0.983783 | + | 0.179364i | \(0.942596\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 10.5000 | + | 6.06218i | 0.542218 | + | 0.313050i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10.3923i | 0.533817i | 0.963722 | + | 0.266908i | \(0.0860021\pi\) | ||||
−0.963722 | + | 0.266908i | \(0.913998\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.00000 | − | 1.73205i | −0.153695 | − | 0.0887357i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 13.5000 | + | 23.3827i | 0.689818 | + | 1.19480i | 0.971897 | + | 0.235408i | \(0.0756427\pi\) |
−0.282079 | + | 0.959391i | \(0.591024\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.00000 | − | 5.19615i | −0.305788 | − | 0.264820i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −6.00000 | + | 3.46410i | −0.304997 | + | 0.176090i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −10.5000 | + | 18.1865i | −0.532371 | + | 0.922094i | 0.466915 | + | 0.884302i | \(0.345366\pi\) |
−0.999286 | + | 0.0377914i | \(0.987968\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 45.0000 | 2.27575 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −21.0000 | −1.05931 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −4.50000 | + | 7.79423i | −0.226420 | + | 0.392170i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.5000 | − | 6.06218i | 0.526980 | − | 0.304252i | −0.212806 | − | 0.977095i | \(-0.568260\pi\) |
0.739786 | + | 0.672843i | \(0.234927\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −14.0000 | − | 12.1244i | −0.700877 | − | 0.606977i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1.50000 | − | 2.59808i | −0.0749064 | − | 0.129742i | 0.826139 | − | 0.563466i | \(-0.190532\pi\) |
−0.901046 | + | 0.433724i | \(0.857199\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | − | 1.73205i | − | 0.0860663i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.66025i | 0.429273i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.50000 | − | 2.59808i | −0.222511 | − | 0.128467i | 0.384602 | − | 0.923083i | \(-0.374339\pi\) |
−0.607112 | + | 0.794616i | \(0.707672\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.50000 | − | 2.59808i | −0.0739895 | − | 0.128154i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 22.5000 | − | 7.79423i | 1.10715 | − | 0.383529i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −18.0000 | + | 10.3923i | −0.883585 | + | 0.510138i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.00000 | − | 3.46410i | 0.0979404 | − | 0.169638i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.0000 | 0.586238 | 0.293119 | − | 0.956076i | \(-0.405307\pi\) | ||||
0.293119 | + | 0.956076i | \(0.405307\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.0000 | −0.487370 | −0.243685 | − | 0.969854i | \(-0.578356\pi\) | ||||
−0.243685 | + | 0.969854i | \(0.578356\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −3.00000 | + | 5.19615i | −0.145865 | + | 0.252646i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 9.00000 | − | 5.19615i | 0.436564 | − | 0.252050i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 22.5000 | + | 4.33013i | 1.08885 | + | 0.209550i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 25.5000 | + | 14.7224i | 1.22829 | + | 0.709155i | 0.966672 | − | 0.256017i | \(-0.0824102\pi\) |
0.261619 | + | 0.965171i | \(0.415743\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 34.6410i | 1.66474i | 0.554220 | + | 0.832370i | \(0.313017\pi\) | ||||
−0.554220 | + | 0.832370i | \(0.686983\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | − | 10.3923i | − | 0.498273i | ||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 52.5000 | + | 30.3109i | 2.51142 | + | 1.44997i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.50000 | + | 16.4545i | 0.453410 | + | 0.785330i | 0.998595 | − | 0.0529862i | \(-0.0168739\pi\) |
−0.545185 | + | 0.838316i | \(0.683541\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −11.0000 | + | 8.66025i | −0.523810 | + | 0.412393i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 19.5000 | − | 11.2583i | 0.926473 | − | 0.534899i | 0.0407786 | − | 0.999168i | \(-0.487016\pi\) |
0.885694 | + | 0.464269i | \(0.153683\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.5000 | − | 18.1865i | 0.497748 | − | 0.862124i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 9.00000 | 0.425685 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.0000 | −0.849473 | −0.424736 | − | 0.905317i | \(-0.639633\pi\) | ||||
−0.424736 | + | 0.905317i | \(0.639633\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.00000 | + | 10.3923i | −0.282529 | + | 0.489355i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 10.5000 | − | 6.06218i | 0.493333 | − | 0.284826i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.500000 | + | 0.866025i | 0.0233890 | + | 0.0405110i | 0.877483 | − | 0.479608i | \(-0.159221\pi\) |
−0.854094 | + | 0.520119i | \(0.825888\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 22.5000 | + | 12.9904i | 1.05021 | + | 0.606339i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 27.7128i | 1.29071i | 0.763881 | + | 0.645357i | \(0.223291\pi\) | ||||
−0.763881 | + | 0.645357i | \(0.776709\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.46410i | 0.160990i | 0.996755 | + | 0.0804952i | \(0.0256502\pi\) | ||||
−0.996755 | + | 0.0804952i | \(0.974350\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −7.50000 | − | 4.33013i | −0.347804 | − | 0.200805i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.50000 | − | 2.59808i | −0.0694117 | − | 0.120225i | 0.829231 | − | 0.558906i | \(-0.188779\pi\) |
−0.898642 | + | 0.438682i | \(0.855446\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.50000 | − | 12.9904i | −0.207791 | − | 0.599840i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 13.5000 | − | 7.79423i | 0.622047 | − | 0.359139i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.00000 | − | 5.19615i | 0.137940 | − | 0.238919i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 14.0000 | 0.642364 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −18.0000 | −0.824163 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.50000 | − | 7.79423i | 0.205610 | − | 0.356127i | −0.744717 | − | 0.667381i | \(-0.767415\pi\) |
0.950327 | + | 0.311253i | \(0.100749\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −15.0000 | + | 17.3205i | −0.682524 | + | 0.788110i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.00000 | + | 10.3923i | 0.272446 | + | 0.471890i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.50000 | + | 4.33013i | 0.339857 | + | 0.196217i | 0.660209 | − | 0.751082i | \(-0.270468\pi\) |
−0.320352 | + | 0.947299i | \(0.603801\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 12.1244i | − | 0.548282i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 17.3205i | − | 0.781664i | −0.920462 | − | 0.390832i | \(-0.872187\pi\) | ||
0.920462 | − | 0.390832i | \(-0.127813\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −27.0000 | − | 15.5885i | −1.21602 | − | 0.702069i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.00000 | + | 5.19615i | 0.134840 | + | 0.233550i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 6.00000 | − | 6.92820i | 0.269137 | − | 0.310772i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.5000 | + | 6.06218i | −0.470045 | + | 0.271380i | −0.716258 | − | 0.697835i | \(-0.754147\pi\) |
0.246214 | + | 0.969216i | \(0.420813\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6.00000 | − | 10.3923i | 0.268060 | − | 0.464294i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −24.0000 | −1.07011 | −0.535054 | − | 0.844818i | \(-0.679709\pi\) | ||||
−0.535054 | + | 0.844818i | \(0.679709\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.00000 | −0.400495 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −6.50000 | + | 11.2583i | −0.288675 | + | 0.500000i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −13.5000 | + | 7.79423i | −0.598377 | + | 0.345473i | −0.768403 | − | 0.639966i | \(-0.778948\pi\) |
0.170026 | + | 0.985440i | \(0.445615\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.50000 | − | 4.33013i | −0.0663561 | − | 0.191554i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 17.5000 | + | 30.3109i | 0.772644 | + | 1.33826i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.50000 | + | 0.866025i | 0.0660979 | + | 0.0381616i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 5.19615i | − | 0.228527i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 8.66025i | − | 0.380143i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 25.5000 | + | 14.7224i | 1.11718 | + | 0.645001i | 0.940678 | − | 0.339300i | \(-0.110190\pi\) |
0.176497 | + | 0.984301i | \(0.443523\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.5000 | − | 19.9186i | −0.502860 | − | 0.870979i | −0.999995 | − | 0.00330547i | \(-0.998948\pi\) |
0.497135 | − | 0.867673i | \(-0.334385\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.00000 | + | 5.19615i | −0.0436436 | + | 0.226779i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −22.5000 | + | 12.9904i | −0.980115 | + | 0.565870i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 26.0000 | − | 45.0333i | 1.13043 | − | 1.95797i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −18.0000 | −0.781133 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.50000 | − | 7.79423i | 0.194552 | − | 0.336974i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 13.5000 | − | 7.79423i | 0.582568 | − | 0.336346i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.50000 | − | 11.2583i | 0.193829 | − | 0.484931i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.50000 | + | 6.06218i | 0.150477 | + | 0.260633i | 0.931403 | − | 0.363990i | \(-0.118586\pi\) |
−0.780926 | + | 0.624623i | \(0.785252\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.00000 | + | 3.46410i | 0.257485 | + | 0.148659i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 19.0526i | 0.816122i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.2487i | 1.03680i | 0.855138 | + | 0.518400i | \(0.173472\pi\) | ||||
−0.855138 | + | 0.518400i | \(0.826528\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −15.0000 | − | 8.66025i | −0.640184 | − | 0.369611i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −21.0000 | − | 36.3731i | −0.894630 | − | 1.54954i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −13.5000 | − | 2.59808i | −0.574078 | − | 0.110481i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −7.50000 | + | 4.33013i | −0.318357 | + | 0.183804i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.50000 | − | 2.59808i | 0.0635570 | − | 0.110084i | −0.832496 | − | 0.554031i | \(-0.813089\pi\) |
0.896053 | + | 0.443947i | \(0.146422\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.00000 | −0.379980 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 7.50000 | − | 12.9904i | 0.316087 | − | 0.547479i | −0.663581 | − | 0.748105i | \(-0.730964\pi\) |
0.979668 | + | 0.200625i | \(0.0642974\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −9.00000 | + | 5.19615i | −0.378633 | + | 0.218604i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.50000 | − | 0.866025i | 0.104990 | − | 0.0363696i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −19.5000 | − | 33.7750i | −0.817483 | − | 1.41592i | −0.907532 | − | 0.419984i | \(-0.862036\pi\) |
0.0900490 | − | 0.995937i | \(-0.471298\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.5000 | + | 6.06218i | 0.439411 | + | 0.253694i | 0.703348 | − | 0.710846i | \(-0.251688\pi\) |
−0.263937 | + | 0.964540i | \(0.585021\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 12.1244i | 0.506502i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 17.3205i | − | 0.722315i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.5000 | + | 7.79423i | 0.562012 | + | 0.324478i | 0.753953 | − | 0.656929i | \(-0.228145\pi\) |
−0.191940 | + | 0.981407i | \(0.561478\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 2.50000 | + | 4.33013i | 0.103896 | + | 0.179954i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −24.0000 | − | 20.7846i | −0.995688 | − | 0.862291i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 13.5000 | − | 7.79423i | 0.559113 | − | 0.322804i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −12.0000 | −0.495293 | −0.247647 | − | 0.968850i | \(-0.579657\pi\) | ||||
−0.247647 | + | 0.968850i | \(0.579657\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −35.0000 | −1.44215 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.00000 | + | 5.19615i | −0.123404 | + | 0.213741i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −16.5000 | + | 9.52628i | −0.677574 | + | 0.391197i | −0.798940 | − | 0.601410i | \(-0.794606\pi\) |
0.121367 | + | 0.992608i | \(0.461272\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.0000 | − | 15.5885i | −0.737928 | − | 0.639064i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −5.50000 | − | 9.52628i | −0.225100 | − | 0.389885i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −28.5000 | − | 16.4545i | −1.16448 | − | 0.672312i | −0.212105 | − | 0.977247i | \(-0.568032\pi\) |
−0.952373 | + | 0.304935i | \(0.901365\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.92820i | 0.282607i | 0.989966 | + | 0.141304i | \(0.0451294\pi\) | ||||
−0.989966 | + | 0.141304i | \(0.954871\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 10.3923i | 0.423207i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 12.0000 | + | 6.92820i | 0.487869 | + | 0.281672i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.5000 | − | 25.1147i | −0.588537 | − | 1.01938i | −0.994424 | − | 0.105453i | \(-0.966371\pi\) |
0.405887 | − | 0.913923i | \(-0.366962\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 15.0000 | − | 5.19615i | 0.607831 | − | 0.210559i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.50000 | − | 9.52628i | 0.222143 | − | 0.384763i | −0.733316 | − | 0.679888i | \(-0.762028\pi\) |
0.955458 | + | 0.295126i | \(0.0953615\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −12.0000 | −0.483887 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −18.0000 | −0.724653 | −0.362326 | − | 0.932051i | \(-0.618017\pi\) | ||||
−0.362326 | + | 0.932051i | \(0.618017\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.50000 | − | 6.06218i | 0.140677 | − | 0.243659i | −0.787075 | − | 0.616858i | \(-0.788405\pi\) |
0.927752 | + | 0.373198i | \(0.121739\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 37.5000 | − | 21.6506i | 1.50482 | − | 0.868810i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 31.5000 | + | 6.06218i | 1.26202 | + | 0.242876i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.50000 | + | 9.52628i | 0.220000 | + | 0.381051i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −10.5000 | − | 6.06218i | −0.419330 | − | 0.242100i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 25.9808i | 1.03592i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 45.0333i | 1.79275i | 0.443298 | + | 0.896374i | \(0.353808\pi\) | ||||
−0.443298 | + | 0.896374i | \(0.646192\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 21.0000 | + | 12.1244i | 0.834675 | + | 0.481900i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −3.00000 | − | 5.19615i | −0.119051 | − | 0.206203i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −6.00000 | + | 3.46410i | −0.237356 | + | 0.137038i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.50000 | − | 7.79423i | 0.177739 | − | 0.307854i | −0.763367 | − | 0.645966i | \(-0.776455\pi\) |
0.941106 | + | 0.338112i | \(0.109788\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.00000 | 0.157745 | 0.0788723 | − | 0.996885i | \(-0.474868\pi\) | ||||
0.0788723 | + | 0.996885i | \(0.474868\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6.00000 | 0.236250 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −7.50000 | + | 12.9904i | −0.294855 | + | 0.510705i | −0.974951 | − | 0.222419i | \(-0.928605\pi\) |
0.680096 | + | 0.733123i | \(0.261938\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 13.5000 | − | 7.79423i | 0.529921 | − | 0.305950i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.50000 | − | 12.9904i | 0.0979827 | − | 0.509133i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 1.50000 | + | 2.59808i | 0.0586995 | + | 0.101671i | 0.893882 | − | 0.448303i | \(-0.147971\pi\) |
−0.835182 | + | 0.549973i | \(0.814638\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −31.5000 | − | 18.1865i | −1.23081 | − | 0.710607i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 3.46410i | 0.135147i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 24.2487i | − | 0.944596i | −0.881439 | − | 0.472298i | \(-0.843425\pi\) | ||
0.881439 | − | 0.472298i | \(-0.156575\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 34.5000 | + | 19.9186i | 1.34189 | + | 0.774743i | 0.987085 | − | 0.160196i | \(-0.0512125\pi\) |
0.354809 | + | 0.934939i | \(0.384546\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −10.5000 | − | 30.3109i | −0.407173 | − | 1.17541i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −45.0000 | + | 25.9808i | −1.74241 | + | 1.00598i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 8.00000 | − | 13.8564i | 0.309298 | − | 0.535720i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 15.0000 | 0.579069 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −50.0000 | −1.92736 | −0.963679 | − | 0.267063i | \(-0.913947\pi\) | ||||
−0.963679 | + | 0.267063i | \(0.913947\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 5.00000 | − | 8.66025i | 0.192450 | − | 0.333333i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 34.5000 | − | 19.9186i | 1.32594 | − | 0.765533i | 0.341273 | − | 0.939964i | \(-0.389142\pi\) |
0.984669 | + | 0.174431i | \(0.0558085\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −12.0000 | + | 13.8564i | −0.460518 | + | 0.531760i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −10.5000 | − | 18.1865i | −0.402361 | − | 0.696909i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −37.5000 | − | 21.6506i | −1.43490 | − | 0.828439i | −0.437409 | − | 0.899263i | \(-0.644104\pi\) |
−0.997489 | + | 0.0708242i | \(0.977437\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 5.19615i | − | 0.198535i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 12.1244i | 0.462573i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.50000 | + | 11.2583i | 0.247272 | + | 0.428287i | 0.962768 | − | 0.270330i | \(-0.0871327\pi\) |
−0.715496 | + | 0.698617i | \(0.753799\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −6.00000 | + | 6.92820i | −0.227921 | + | 0.263181i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 6.00000 | − | 3.46410i | 0.227593 | − | 0.131401i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −18.0000 | + | 31.1769i | −0.681799 | + | 1.18091i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 3.00000 | 0.113470 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −30.0000 | −1.13308 | −0.566542 | − | 0.824033i | \(-0.691719\pi\) | ||||
−0.566542 | + | 0.824033i | \(0.691719\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.5000 | + | 30.3109i | −0.660025 | + | 1.14320i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4.50000 | − | 2.59808i | 0.169480 | − | 0.0978492i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −4.50000 | − | 12.9904i | −0.169240 | − | 0.488554i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.5000 | + | 30.3109i | 0.657226 | + | 1.13835i | 0.981331 | + | 0.192328i | \(0.0616038\pi\) |
−0.324104 | + | 0.946021i | \(0.605063\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 9.00000 | + | 5.19615i | 0.337526 | + | 0.194871i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 43.3013i | 1.62165i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −9.00000 | − | 5.19615i | −0.336111 | − | 0.194054i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −16.5000 | − | 28.5788i | −0.615346 | − | 1.06581i | −0.990324 | − | 0.138777i | \(-0.955683\pi\) |
0.374978 | − | 0.927034i | \(-0.377650\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.500000 | + | 2.59808i | −0.0186210 | + | 0.0967574i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 10.5000 | − | 6.06218i | 0.390499 | − | 0.225455i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −6.00000 | + | 10.3923i | −0.222834 | + | 0.385961i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −32.0000 | −1.18681 | −0.593407 | − | 0.804902i | \(-0.702218\pi\) | ||||
−0.593407 | + | 0.804902i | \(0.702218\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.0000 | 0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 9.00000 | − | 15.5885i | 0.332877 | − | 0.576560i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 16.5000 | − | 9.52628i | 0.609441 | − | 0.351861i | −0.163305 | − | 0.986576i | \(-0.552216\pi\) |
0.772747 | + | 0.634714i | \(0.218882\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 12.0000 | − | 1.73205i | 0.442627 | − | 0.0638877i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.50000 | − | 7.79423i | −0.165760 | − | 0.287104i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.50000 | − | 0.866025i | −0.0551784 | − | 0.0318573i | 0.472157 | − | 0.881514i | \(-0.343476\pi\) |
−0.527335 | + | 0.849657i | \(0.676809\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 38.1051i | − | 1.39794i | −0.715150 | − | 0.698971i | \(-0.753642\pi\) | ||
0.715150 | − | 0.698971i | \(-0.246358\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 13.5000 | + | 7.79423i | 0.494602 | + | 0.285558i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 12.0000 | + | 20.7846i | 0.439057 | + | 0.760469i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 13.5000 | + | 2.59808i | 0.493279 | + | 0.0949316i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 34.5000 | − | 19.9186i | 1.25892 | − | 0.726839i | 0.286058 | − | 0.958212i | \(-0.407655\pi\) |
0.972865 | + | 0.231373i | \(0.0743217\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 21.0000 | 0.764268 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −26.0000 | −0.944986 | −0.472493 | − | 0.881334i | \(-0.656646\pi\) | ||||
−0.472493 | + | 0.881334i | \(0.656646\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −7.50000 | + | 12.9904i | −0.272233 | + | 0.471521i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −4.50000 | + | 2.59808i | −0.163125 | + | 0.0941802i | −0.579340 | − | 0.815086i | \(-0.696690\pi\) |
0.416215 | + | 0.909266i | \(0.363356\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −27.5000 | + | 9.52628i | −0.995567 | + | 0.344874i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 9.00000 | + | 15.5885i | 0.325396 | + | 0.563602i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.92820i | 0.249837i | 0.992167 | + | 0.124919i | \(0.0398670\pi\) | ||||
−0.992167 | + | 0.124919i | \(0.960133\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 19.0526i | − | 0.686161i | ||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −7.50000 | − | 4.33013i | −0.269756 | − | 0.155744i | 0.359021 | − | 0.933330i | \(-0.383111\pi\) |
−0.628777 | + | 0.777586i | \(0.716444\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.00000 | + | 8.66025i | 0.179605 | + | 0.311086i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −10.0000 | − | 8.66025i | −0.358748 | − | 0.310685i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −42.0000 | + | 24.2487i | −1.50481 | + | 0.868800i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.00000 | − | 5.19615i | 0.107348 | − | 0.185933i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −30.0000 | −1.07211 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 27.0000 | 0.963671 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.50000 | − | 6.06218i | 0.124762 | − | 0.216093i | −0.796878 | − | 0.604140i | \(-0.793517\pi\) |
0.921640 | + | 0.388047i | \(0.126850\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −7.50000 | + | 4.33013i | −0.267007 | + | 0.154157i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −12.0000 | − | 10.3923i | −0.426671 | − | 0.369508i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 13.5000 | + | 7.79423i | 0.478796 | + | 0.276433i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 13.8564i | 0.490819i | 0.969419 | + | 0.245410i | \(0.0789224\pi\) | ||||
−0.969419 | + | 0.245410i | \(0.921078\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 15.5885i | − | 0.551480i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −21.0000 | − | 12.1244i | −0.741999 | − | 0.428393i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1.50000 | − | 2.59808i | −0.0529339 | − | 0.0916841i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −37.5000 | + | 12.9904i | −1.32170 | + | 0.457851i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1.50000 | − | 0.866025i | 0.0528025 | − | 0.0304855i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −7.50000 | + | 12.9904i | −0.263686 | + | 0.456717i | −0.967219 | − | 0.253946i | \(-0.918272\pi\) |
0.703533 | + | 0.710663i | \(0.251605\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −4.00000 | −0.140459 | −0.0702295 | − | 0.997531i | \(-0.522373\pi\) | ||||
−0.0702295 | + | 0.997531i | \(0.522373\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.00000 | 0.0350715 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 10.5000 | − | 18.1865i | 0.367799 | − | 0.637046i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 21.0000 | − | 12.1244i | 0.734697 | − | 0.424178i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −28.5000 | − | 49.3634i | −0.994657 | − | 1.72280i | −0.586734 | − | 0.809780i | \(-0.699586\pi\) |
−0.407923 | − | 0.913016i | \(-0.633747\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 19.5000 | + | 11.2583i | 0.679727 | + | 0.392441i | 0.799752 | − | 0.600330i | \(-0.204964\pi\) |
−0.120025 | + | 0.992771i | \(0.538297\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 3.46410i | 0.120605i | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 38.1051i | − | 1.32504i | −0.749042 | − | 0.662522i | \(-0.769486\pi\) | ||
0.749042 | − | 0.662522i | \(-0.230514\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.50000 | − | 4.33013i | −0.260486 | − | 0.150392i | 0.364070 | − | 0.931371i | \(-0.381387\pi\) |
−0.624556 | + | 0.780980i | \(0.714720\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −8.50000 | − | 14.7224i | −0.294862 | − | 0.510716i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 13.5000 | − | 33.7750i | 0.467747 | − | 1.17023i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.0000 | − | 10.3923i | 0.622916 | − | 0.359641i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −12.5000 | + | 21.6506i | −0.432063 | + | 0.748355i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7.00000 | 0.241379 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −3.00000 | + | 5.19615i | −0.103325 | + | 0.178965i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −19.5000 | + | 11.2583i | −0.670820 | + | 0.387298i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.00000 | + | 20.7846i | −0.137442 | + | 0.714168i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 5.50000 | + | 9.52628i | 0.188760 | + | 0.326941i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 37.5000 | + | 21.6506i | 1.28548 | + | 0.742174i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 13.8564i | − | 0.474434i | −0.971457 | − | 0.237217i | \(-0.923765\pi\) | ||
0.971457 | − | 0.237217i | \(-0.0762353\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 24.2487i | 0.829288i | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 37.5000 | + | 21.6506i | 1.28098 | + | 0.739572i | 0.977027 | − | 0.213117i | \(-0.0683615\pi\) |
0.303949 | + | 0.952688i | \(0.401695\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.5000 | + | 35.5070i | 0.699451 | + | 1.21148i | 0.968657 | + | 0.248402i | \(0.0799054\pi\) |
−0.269206 | + | 0.963083i | \(0.586761\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −6.00000 | − | 17.3205i | −0.204479 | − | 0.590281i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 40.5000 | − | 23.3827i | 1.37864 | − | 0.795956i | 0.386641 | − | 0.922230i | \(-0.373635\pi\) |
0.991995 | + | 0.126275i | \(0.0403020\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.50000 | − | 12.9904i | 0.255008 | − | 0.441686i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −10.0000 | −0.339618 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −9.00000 | −0.305304 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 12.0000 | − | 6.92820i | 0.406138 | − | 0.234484i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −21.0000 | + | 24.2487i | −0.709930 | + | 0.819756i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 23.5000 | + | 40.7032i | 0.793539 | + | 1.37445i | 0.923763 | + | 0.382965i | \(0.125097\pi\) |
−0.130224 | + | 0.991485i | \(0.541570\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 18.0000 | + | 10.3923i | 0.607125 | + | 0.350524i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.8564i | 0.466834i | 0.972377 | + | 0.233417i | \(0.0749907\pi\) | ||||
−0.972377 | + | 0.233417i | \(0.925009\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 45.0333i | 1.51549i | 0.652550 | + | 0.757746i | \(0.273699\pi\) | ||||
−0.652550 | + | 0.757746i | \(0.726301\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 13.5000 | + | 7.79423i | 0.453798 | + | 0.262000i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.50000 | + | 2.59808i | 0.0503651 | + | 0.0872349i | 0.890109 | − | 0.455748i | \(-0.150628\pi\) |
−0.839744 | + | 0.542983i | \(0.817295\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.00000 | − | 6.92820i | 0.201234 | − | 0.232364i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.50000 | − | 0.866025i | 0.0502519 | − | 0.0290129i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 10.5000 | − | 18.1865i | 0.351369 | − | 0.608589i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 27.0000 | 0.902510 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 15.0000 | − | 25.9808i | 0.500278 | − | 0.866507i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 40.5000 | − | 23.3827i | 1.34925 | − | 0.778990i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.00000 | + | 8.66025i | 0.0998337 | + | 0.288195i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 6.00000 | + | 10.3923i | 0.199447 | + | 0.345452i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 4.50000 | + | 2.59808i | 0.149420 | + | 0.0862677i | 0.572846 | − | 0.819663i | \(-0.305839\pi\) |
−0.423426 | + | 0.905931i | \(0.639173\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 10.3923i | 0.344691i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 10.3923i | − | 0.344312i | −0.985070 | − | 0.172156i | \(-0.944927\pi\) | ||
0.985070 | − | 0.172156i | \(-0.0550734\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −18.0000 | − | 10.3923i | −0.595713 | − | 0.343935i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 7.50000 | + | 12.9904i | 0.247942 | + | 0.429449i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 10.5000 | − | 54.5596i | 0.346741 | − | 1.80172i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −37.5000 | + | 21.6506i | −1.23701 | + | 0.714189i | −0.968482 | − | 0.249083i | \(-0.919871\pi\) |
−0.268529 | + | 0.963272i | \(0.586537\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 10.0000 | − | 17.3205i | 0.329511 | − | 0.570730i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.0000 | 0.328798 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 1.00000 | − | 1.73205i | 0.0328443 | − | 0.0568880i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −22.5000 | + | 12.9904i | −0.738201 | + | 0.426201i | −0.821415 | − | 0.570331i | \(-0.806815\pi\) |
0.0832138 | + | 0.996532i | \(0.473482\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 38.5000 | − | 30.3109i | 1.26179 | − | 0.993399i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 16.5000 | + | 28.5788i | 0.540186 | + | 0.935629i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −13.5000 | − | 7.79423i | −0.441497 | − | 0.254899i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 41.5692i | − | 1.35801i | −0.734135 | − | 0.679004i | \(-0.762412\pi\) | ||
0.734135 | − | 0.679004i | \(-0.237588\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 29.4449i | 0.960897i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −25.5000 | − | 14.7224i | −0.831276 | − | 0.479938i | 0.0230132 | − | 0.999735i | \(-0.492674\pi\) |
−0.854289 | + | 0.519798i | \(0.826007\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 30.0000 | + | 51.9615i | 0.976934 | + | 1.69210i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −22.5000 | − | 4.33013i | −0.731925 | − | 0.140859i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 25.5000 | − | 14.7224i | 0.828639 | − | 0.478415i | −0.0247477 | − | 0.999694i | \(-0.507878\pi\) |
0.853386 | + | 0.521279i | \(0.174545\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 21.0000 | 0.680972 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −18.0000 | −0.583077 | −0.291539 | − | 0.956559i | \(-0.594167\pi\) | ||||
−0.291539 | + | 0.956559i | \(0.594167\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −10.5000 | + | 18.1865i | −0.339772 | + | 0.588502i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 9.00000 | − | 5.19615i | 0.290929 | − | 0.167968i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 7.50000 | − | 2.59808i | 0.242188 | − | 0.0838963i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.00000 | + | 5.19615i | 0.0967742 | + | 0.167618i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −9.00000 | − | 5.19615i | −0.290021 | − | 0.167444i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 8.66025i | 0.278783i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 31.1769i | 1.00258i | 0.865279 | + | 0.501291i | \(0.167141\pi\) | ||||
−0.865279 | + | 0.501291i | \(0.832859\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −31.5000 | − | 18.1865i | −1.01193 | − | 0.584236i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.50000 | − | 2.59808i | −0.0481373 | − | 0.0833762i | 0.840953 | − | 0.541108i | \(-0.181995\pi\) |
−0.889090 | + | 0.457732i | \(0.848662\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 8.00000 | + | 6.92820i | 0.256468 | + | 0.222108i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −13.5000 | + | 23.3827i | −0.431903 | + | 0.748078i | −0.997037 | − | 0.0769208i | \(-0.975491\pi\) |
0.565134 | + | 0.824999i | \(0.308824\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 21.0000 | 0.671163 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 22.0000 | 0.702406 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −1.50000 | + | 2.59808i | −0.0478426 | + | 0.0828658i | −0.888955 | − | 0.457995i | \(-0.848568\pi\) |
0.841112 | + | 0.540860i | \(0.181901\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −9.00000 | + | 5.19615i | −0.286764 | + | 0.165563i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 6.00000 | + | 5.19615i | 0.190982 | + | 0.165395i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −15.0000 | − | 25.9808i | −0.476972 | − | 0.826140i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.50000 | − | 2.59808i | −0.142947 | − | 0.0825306i | 0.426821 | − | 0.904336i | \(-0.359634\pi\) |
−0.569768 | + | 0.821806i | \(0.692967\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 29.4449i | 0.934405i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 19.0526i | − | 0.604007i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.50000 | − | 0.866025i | −0.0475055 | − | 0.0274273i | 0.476059 | − | 0.879413i | \(-0.342065\pi\) |
−0.523565 | + | 0.851986i | \(0.675398\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 12.5000 | + | 21.6506i | 0.395482 | + | 0.684996i |
(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 | 448.2.p.a.255.1 | 2 | ||
4.3 | odd | 2 | 448.2.p.b.255.1 | 2 | |||
7.3 | odd | 6 | 3136.2.f.a.3135.2 | 2 | |||
7.4 | even | 3 | 3136.2.f.b.3135.1 | 2 | |||
7.5 | odd | 6 | 448.2.p.b.383.1 | 2 | |||
8.3 | odd | 2 | 112.2.p.a.31.1 | ✓ | 2 | ||
8.5 | even | 2 | 112.2.p.b.31.1 | yes | 2 | ||
24.5 | odd | 2 | 1008.2.cs.c.703.1 | 2 | |||
24.11 | even | 2 | 1008.2.cs.f.703.1 | 2 | |||
28.3 | even | 6 | 3136.2.f.b.3135.2 | 2 | |||
28.11 | odd | 6 | 3136.2.f.a.3135.1 | 2 | |||
28.19 | even | 6 | inner | 448.2.p.a.383.1 | 2 | ||
56.3 | even | 6 | 784.2.f.a.783.1 | 2 | |||
56.5 | odd | 6 | 112.2.p.a.47.1 | yes | 2 | ||
56.11 | odd | 6 | 784.2.f.b.783.2 | 2 | |||
56.13 | odd | 2 | 784.2.p.c.31.1 | 2 | |||
56.19 | even | 6 | 112.2.p.b.47.1 | yes | 2 | ||
56.27 | even | 2 | 784.2.p.d.31.1 | 2 | |||
56.37 | even | 6 | 784.2.p.d.607.1 | 2 | |||
56.45 | odd | 6 | 784.2.f.b.783.1 | 2 | |||
56.51 | odd | 6 | 784.2.p.c.607.1 | 2 | |||
56.53 | even | 6 | 784.2.f.a.783.2 | 2 | |||
168.5 | even | 6 | 1008.2.cs.f.271.1 | 2 | |||
168.11 | even | 6 | 7056.2.b.m.1567.1 | 2 | |||
168.53 | odd | 6 | 7056.2.b.b.1567.1 | 2 | |||
168.59 | odd | 6 | 7056.2.b.b.1567.2 | 2 | |||
168.101 | even | 6 | 7056.2.b.m.1567.2 | 2 | |||
168.131 | odd | 6 | 1008.2.cs.c.271.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.p.a.31.1 | ✓ | 2 | 8.3 | odd | 2 | ||
112.2.p.a.47.1 | yes | 2 | 56.5 | odd | 6 | ||
112.2.p.b.31.1 | yes | 2 | 8.5 | even | 2 | ||
112.2.p.b.47.1 | yes | 2 | 56.19 | even | 6 | ||
448.2.p.a.255.1 | 2 | 1.1 | even | 1 | trivial | ||
448.2.p.a.383.1 | 2 | 28.19 | even | 6 | inner | ||
448.2.p.b.255.1 | 2 | 4.3 | odd | 2 | |||
448.2.p.b.383.1 | 2 | 7.5 | odd | 6 | |||
784.2.f.a.783.1 | 2 | 56.3 | even | 6 | |||
784.2.f.a.783.2 | 2 | 56.53 | even | 6 | |||
784.2.f.b.783.1 | 2 | 56.45 | odd | 6 | |||
784.2.f.b.783.2 | 2 | 56.11 | odd | 6 | |||
784.2.p.c.31.1 | 2 | 56.13 | odd | 2 | |||
784.2.p.c.607.1 | 2 | 56.51 | odd | 6 | |||
784.2.p.d.31.1 | 2 | 56.27 | even | 2 | |||
784.2.p.d.607.1 | 2 | 56.37 | even | 6 | |||
1008.2.cs.c.271.1 | 2 | 168.131 | odd | 6 | |||
1008.2.cs.c.703.1 | 2 | 24.5 | odd | 2 | |||
1008.2.cs.f.271.1 | 2 | 168.5 | even | 6 | |||
1008.2.cs.f.703.1 | 2 | 24.11 | even | 2 | |||
3136.2.f.a.3135.1 | 2 | 28.11 | odd | 6 | |||
3136.2.f.a.3135.2 | 2 | 7.3 | odd | 6 | |||
3136.2.f.b.3135.1 | 2 | 7.4 | even | 3 | |||
3136.2.f.b.3135.2 | 2 | 28.3 | even | 6 | |||
7056.2.b.b.1567.1 | 2 | 168.53 | odd | 6 | |||
7056.2.b.b.1567.2 | 2 | 168.59 | odd | 6 | |||
7056.2.b.m.1567.1 | 2 | 168.11 | even | 6 | |||
7056.2.b.m.1567.2 | 2 | 168.101 | even | 6 |