Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1456,2,Mod(225,1456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1456, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 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("1456.225");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1456 = 2^{4} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1456.cc (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: | \(11.6262185343\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 39 x^{10} - 140 x^{9} + 460 x^{8} - 1066 x^{7} + 2127 x^{6} - 3172 x^{5} + \cdots + 169 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 182) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 673.2 | ||
Root | \(0.500000 - 1.73154i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1456.673 |
Dual form | 1456.2.cc.d.225.2 |
$q$-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 \(\left(\mathbb{Z}/1456\mathbb{Z}\right)^\times\).
\(n\) | \(561\) | \(911\) | \(1093\) | \(1249\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(1\) | \(1\) |
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 | ||||||||
\(3\) | −0.432757 | − | 0.749558i | −0.249853 | − | 0.432757i | 0.713632 | − | 0.700521i | \(-0.247049\pi\) |
−0.963485 | + | 0.267763i | \(0.913716\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.71131i | 1.65975i | 0.557950 | + | 0.829875i | \(0.311588\pi\) | ||||
−0.557950 | + | 0.829875i | \(0.688412\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.866025 | + | 0.500000i | 0.327327 | + | 0.188982i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.12544 | − | 1.94932i | 0.375147 | − | 0.649774i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.00118 | − | 2.88743i | 1.50791 | − | 0.870594i | 0.507955 | − | 0.861384i | \(-0.330402\pi\) |
0.999958 | − | 0.00920984i | \(-0.00293162\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.87757 | + | 2.17246i | 0.798095 | + | 0.602531i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.78184 | − | 1.60610i | 0.718269 | − | 0.414693i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.106098 | + | 0.183768i | −0.0257327 | + | 0.0445703i | −0.878605 | − | 0.477549i | \(-0.841525\pi\) |
0.852872 | + | 0.522120i | \(0.174859\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.85081 | − | 1.06857i | −0.424606 | − | 0.245146i | 0.272440 | − | 0.962173i | \(-0.412169\pi\) |
−0.697046 | + | 0.717026i | \(0.745503\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 0.865515i | − | 0.188871i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.23970 | − | 2.14722i | −0.258495 | − | 0.447727i | 0.707344 | − | 0.706870i | \(-0.249893\pi\) |
−0.965839 | + | 0.259143i | \(0.916560\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −8.77384 | −1.75477 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.54472 | −0.874632 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.0492830 | + | 0.0853606i | 0.00915162 | + | 0.0158511i | 0.870565 | − | 0.492054i | \(-0.163754\pi\) |
−0.861413 | + | 0.507905i | \(0.830420\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.31076i | 0.415025i | 0.978232 | + | 0.207513i | \(0.0665368\pi\) | ||||
−0.978232 | + | 0.207513i | \(0.933463\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.32860 | − | 2.49912i | −0.753512 | − | 0.435040i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.85566 | + | 3.21409i | −0.313663 | + | 0.543281i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.81859 | − | 3.93672i | 1.12097 | − | 0.647192i | 0.179321 | − | 0.983791i | \(-0.442610\pi\) |
0.941648 | + | 0.336599i | \(0.109277\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.383091 | − | 3.09706i | 0.0613436 | − | 0.495926i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.51354 | − | 3.76060i | 1.01724 | − | 0.587306i | 0.103940 | − | 0.994584i | \(-0.466855\pi\) |
0.913305 | + | 0.407277i | \(0.133522\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.28987 | + | 3.96617i | −0.349201 | + | 0.604835i | −0.986108 | − | 0.166107i | \(-0.946880\pi\) |
0.636906 | + | 0.770941i | \(0.280214\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 7.23455 | + | 4.17687i | 1.07846 | + | 0.622651i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 9.15570i | 1.33550i | 0.744388 | + | 0.667748i | \(0.232742\pi\) | ||||
−0.744388 | + | 0.667748i | \(0.767258\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.183660 | 0.0257175 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 12.0948 | 1.66135 | 0.830674 | − | 0.556759i | \(-0.187955\pi\) | ||||
0.830674 | + | 0.556759i | \(0.187955\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.7162 | + | 18.5609i | 1.44497 | + | 2.50276i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.84972i | 0.245002i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.200843 | + | 0.115957i | 0.0261476 | + | 0.0150963i | 0.513017 | − | 0.858379i | \(-0.328528\pi\) |
−0.486869 | + | 0.873475i | \(0.661861\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.01605 | + | 6.95601i | −0.514203 | + | 0.890626i | 0.485661 | + | 0.874147i | \(0.338579\pi\) |
−0.999864 | + | 0.0164787i | \(0.994754\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.94932 | − | 1.12544i | 0.245592 | − | 0.141792i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −8.06267 | + | 10.6796i | −1.00005 | + | 1.32464i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 11.2323 | − | 6.48500i | 1.37225 | − | 0.792269i | 0.381039 | − | 0.924559i | \(-0.375567\pi\) |
0.991211 | + | 0.132291i | \(0.0422332\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.07298 | + | 1.85845i | −0.129171 | + | 0.223731i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.37721 | − | 3.68188i | −0.756836 | − | 0.436959i | 0.0713229 | − | 0.997453i | \(-0.477278\pi\) |
−0.828158 | + | 0.560494i | \(0.810611\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 5.60414i | − | 0.655915i | −0.944692 | − | 0.327958i | \(-0.893640\pi\) | ||
0.944692 | − | 0.327958i | \(-0.106360\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.79695 | + | 6.57650i | 0.438434 | + | 0.759389i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 5.77486 | 0.658107 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.19749 | 1.03480 | 0.517399 | − | 0.855744i | \(-0.326900\pi\) | ||||
0.517399 | + | 0.855744i | \(0.326900\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.40956 | − | 2.44144i | −0.156618 | − | 0.271271i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.17186i | 0.348157i | 0.984732 | + | 0.174078i | \(0.0556946\pi\) | ||||
−0.984732 | + | 0.174078i | \(0.944305\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.682021 | − | 0.393765i | −0.0739755 | − | 0.0427098i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.0426552 | − | 0.0738809i | 0.00457311 | − | 0.00792087i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −10.2335 | + | 5.90833i | −1.08475 | + | 0.626282i | −0.932174 | − | 0.362010i | \(-0.882091\pi\) |
−0.152577 | + | 0.988292i | \(0.548757\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.40582 | + | 3.32019i | 0.147370 | + | 0.348050i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.73205 | − | 1.00000i | 0.179605 | − | 0.103695i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.96579 | − | 6.86895i | 0.406882 | − | 0.704740i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.1952 | + | 7.04093i | 1.23824 | + | 0.714898i | 0.968734 | − | 0.248101i | \(-0.0798064\pi\) |
0.269506 | + | 0.962999i | \(0.413140\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 12.9985i | − | 1.30640i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.07622 | − | 5.32816i | −0.306095 | − | 0.530172i | 0.671410 | − | 0.741087i | \(-0.265689\pi\) |
−0.977505 | + | 0.210914i | \(0.932356\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −19.3491 | −1.90652 | −0.953260 | − | 0.302152i | \(-0.902295\pi\) | ||||
−0.953260 | + | 0.302152i | \(0.902295\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.21220 | 0.313478 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.82506 | + | 10.0893i | 0.563130 | + | 0.975369i | 0.997221 | + | 0.0745005i | \(0.0237362\pi\) |
−0.434091 | + | 0.900869i | \(0.642930\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.73307i | 0.549129i | 0.961569 | + | 0.274564i | \(0.0885336\pi\) | ||||
−0.961569 | + | 0.274564i | \(0.911466\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.90159 | − | 3.40729i | −0.560154 | − | 0.323405i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.25971 | + | 14.3062i | −0.777008 | + | 1.34582i | 0.156650 | + | 0.987654i | \(0.449930\pi\) |
−0.933659 | + | 0.358164i | \(0.883403\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.96901 | − | 4.60091i | 0.743114 | − | 0.429037i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 7.47336 | − | 3.16435i | 0.690913 | − | 0.292544i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.183768 | + | 0.106098i | −0.0168460 | + | 0.00972603i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 11.1745 | − | 19.3549i | 1.01587 | − | 1.75953i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.63757 | − | 3.25485i | −0.508323 | − | 0.293480i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 14.0059i | − | 1.25273i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.89420 | + | 10.2090i | 0.523025 | + | 0.905907i | 0.999641 | + | 0.0267947i | \(0.00853005\pi\) |
−0.476616 | + | 0.879112i | \(0.658137\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.96383 | 0.348996 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.12859 | 0.448087 | 0.224043 | − | 0.974579i | \(-0.428074\pi\) | ||||
0.224043 | + | 0.974579i | \(0.428074\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.06857 | − | 1.85081i | −0.0926566 | − | 0.160486i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | − | 16.8669i | − | 1.45167i | ||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.13482 | − | 4.69664i | −0.695005 | − | 0.401261i | 0.110479 | − | 0.993878i | \(-0.464761\pi\) |
−0.805484 | + | 0.592617i | \(0.798095\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.57063 | − | 13.1127i | 0.642133 | − | 1.11221i | −0.342823 | − | 0.939400i | \(-0.611383\pi\) |
0.984956 | − | 0.172806i | \(-0.0552835\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.86273 | − | 3.96220i | 0.577946 | − | 0.333677i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 20.6641 | + | 2.55605i | 1.72802 | + | 0.213747i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.316800 | + | 0.182905i | −0.0263088 | + | 0.0151894i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.432757 | − | 0.749558i | 0.0356932 | − | 0.0618225i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −17.8425 | − | 10.3013i | −1.46171 | − | 0.843919i | −0.462620 | − | 0.886557i | \(-0.653091\pi\) |
−0.999091 | + | 0.0426374i | \(0.986424\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.9407i | 0.971721i | 0.874036 | + | 0.485861i | \(0.161494\pi\) | ||||
−0.874036 | + | 0.485861i | \(0.838506\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.238815 | + | 0.413640i | 0.0193071 | + | 0.0334408i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −8.57596 | −0.688838 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.34022 | 0.745431 | 0.372715 | − | 0.927946i | \(-0.378427\pi\) | ||||
0.372715 | + | 0.927946i | \(0.378427\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.23411 | − | 9.06575i | −0.415092 | − | 0.718961i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 2.47940i | − | 0.195404i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.87746 | − | 2.23865i | −0.303706 | − | 0.175345i | 0.340401 | − | 0.940280i | \(-0.389437\pi\) |
−0.644106 | + | 0.764936i | \(0.722771\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 9.27500 | − | 16.0648i | 0.722058 | − | 1.25064i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −12.7365 | + | 7.35342i | −0.985579 | + | 0.569025i | −0.903950 | − | 0.427638i | \(-0.859346\pi\) |
−0.0816295 | + | 0.996663i | \(0.526012\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.56086 | + | 12.5028i | 0.273912 | + | 0.961755i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.16597 | + | 2.40522i | −0.318580 | + | 0.183932i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 6.88286 | − | 11.9215i | 0.523294 | − | 0.906372i | −0.476339 | − | 0.879262i | \(-0.658036\pi\) |
0.999632 | − | 0.0271097i | \(-0.00863036\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.59837 | − | 4.38692i | −0.574383 | − | 0.331620i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 0.200725i | − | 0.0150874i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −7.63936 | − | 13.2318i | −0.570992 | − | 0.988988i | −0.996464 | − | 0.0840164i | \(-0.973225\pi\) |
0.425472 | − | 0.904972i | \(-0.360108\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.66748 | −0.123943 | −0.0619713 | − | 0.998078i | \(-0.519739\pi\) | ||||
−0.0619713 | + | 0.998078i | \(0.519739\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 6.95191 | 0.513900 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 14.6104 | + | 25.3059i | 1.07418 | + | 1.86053i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.22541i | 0.0896108i | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −3.93584 | − | 2.27236i | −0.286290 | − | 0.165290i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.0604880 | − | 0.104768i | 0.00437676 | − | 0.00758076i | −0.863829 | − | 0.503786i | \(-0.831940\pi\) |
0.868205 | + | 0.496205i | \(0.165273\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.38633 | + | 1.37775i | −0.171772 | + | 0.0991725i | −0.583421 | − | 0.812170i | \(-0.698286\pi\) |
0.411649 | + | 0.911342i | \(0.364953\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 11.4941 | + | 1.42177i | 0.823113 | + | 0.101815i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −13.0989 | + | 7.56267i | −0.933260 | + | 0.538818i | −0.887841 | − | 0.460150i | \(-0.847796\pi\) |
−0.0454187 | + | 0.998968i | \(0.514462\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.65320 | + | 4.59548i | −0.188080 | + | 0.325765i | −0.944610 | − | 0.328194i | \(-0.893560\pi\) |
0.756530 | + | 0.653959i | \(0.226893\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −9.72176 | − | 5.61286i | −0.685720 | − | 0.395901i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.0985660i | 0.00691798i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 13.9567 | + | 24.1738i | 0.974782 | + | 1.68837i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −5.58084 | −0.387895 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −12.3417 | −0.853691 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.94910 | + | 15.5003i | 0.616081 | + | 1.06708i | 0.990194 | + | 0.139701i | \(0.0446141\pi\) |
−0.374112 | + | 0.927383i | \(0.622053\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 6.37345i | 0.436702i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −14.7197 | − | 8.49841i | −1.00387 | − | 0.579587i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.15538 | + | 2.00118i | −0.0784324 | + | 0.135849i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.20063 | + | 2.42524i | −0.283852 | + | 0.163882i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.704534 | + | 0.298312i | −0.0473921 | + | 0.0200666i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 14.2362 | − | 8.21925i | 0.953324 | − | 0.550402i | 0.0592118 | − | 0.998245i | \(-0.481141\pi\) |
0.894112 | + | 0.447844i | \(0.147808\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −9.87445 | + | 17.1031i | −0.658297 | + | 1.14020i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.87655 | + | 2.81547i | 0.323668 | + | 0.186870i | 0.653026 | − | 0.757335i | \(-0.273499\pi\) |
−0.329359 | + | 0.944205i | \(0.606832\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 27.7225i | − | 1.83196i | −0.401228 | − | 0.915978i | \(-0.631416\pi\) | ||
0.401228 | − | 0.915978i | \(-0.368584\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.49912 | − | 4.32860i | −0.164430 | − | 0.284801i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −20.1104 | −1.31747 | −0.658737 | − | 0.752374i | \(-0.728909\pi\) | ||||
−0.658737 | + | 0.752374i | \(0.728909\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −33.9797 | −2.21659 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.98028 | − | 6.89405i | −0.258547 | − | 0.447817i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.62968i | 0.428838i | 0.976742 | + | 0.214419i | \(0.0687858\pi\) | ||||
−0.976742 | + | 0.214419i | \(0.931214\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.40025 | + | 0.808433i | 0.0901978 | + | 0.0520757i | 0.544420 | − | 0.838812i | \(-0.316750\pi\) |
−0.454223 | + | 0.890888i | \(0.650083\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −8.03708 | + | 13.9206i | −0.515579 | + | 0.893009i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.21409 | + | 1.85566i | −0.205341 | + | 0.118554i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.00444 | − | 7.09570i | −0.191168 | − | 0.451489i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.37749 | − | 1.37265i | 0.150667 | − | 0.0869879i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.253506 | + | 0.439085i | −0.0160011 | + | 0.0277148i | −0.873915 | − | 0.486079i | \(-0.838427\pi\) |
0.857914 | + | 0.513793i | \(0.171760\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.3999 | − | 7.15910i | −0.779576 | − | 0.450089i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.681619i | 0.0426846i | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −4.82032 | − | 8.34903i | −0.300683 | − | 0.520798i | 0.675608 | − | 0.737261i | \(-0.263881\pi\) |
−0.976291 | + | 0.216463i | \(0.930548\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.87343 | 0.489231 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.221861 | 0.0137328 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −3.67309 | − | 6.36197i | −0.226492 | − | 0.392296i | 0.730274 | − | 0.683155i | \(-0.239392\pi\) |
−0.956766 | + | 0.290858i | \(0.906059\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 44.8876i | 2.75742i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.85727 | + | 5.11375i | 0.542056 | + | 0.312956i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −11.1770 | + | 19.3592i | −0.681476 | + | 1.18035i | 0.293055 | + | 0.956096i | \(0.405328\pi\) |
−0.974530 | + | 0.224255i | \(0.928005\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.32891 | − | 4.80870i | 0.505945 | − | 0.292108i | −0.225220 | − | 0.974308i | \(-0.572310\pi\) |
0.731165 | + | 0.682200i | \(0.238977\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.88029 | − | 2.49058i | 0.113801 | − | 0.150737i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −43.8796 | + | 25.3339i | −2.64604 | + | 1.52769i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.08945 | − | 8.81518i | 0.305795 | − | 0.529653i | −0.671643 | − | 0.740875i | \(-0.734411\pi\) |
0.977438 | + | 0.211222i | \(0.0677444\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 4.50442 | + | 2.60063i | 0.269673 | + | 0.155696i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 14.1692i | − | 0.845265i | −0.906301 | − | 0.422633i | \(-0.861106\pi\) | ||
0.906301 | − | 0.422633i | \(-0.138894\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.46631 | − | 16.3961i | −0.562714 | − | 0.974649i | −0.997258 | − | 0.0739986i | \(-0.976424\pi\) |
0.434545 | − | 0.900650i | \(-0.356909\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −6.86490 | −0.406642 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.52119 | 0.443962 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.47749 | + | 14.6834i | 0.498676 | + | 0.863732i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 12.1881i | − | 0.714477i | ||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 3.16950 | + | 1.82991i | 0.185164 | + | 0.106905i | 0.589717 | − | 0.807610i | \(-0.299239\pi\) |
−0.404553 | + | 0.914515i | \(0.632573\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.430353 | + | 0.745393i | −0.0250561 | + | 0.0433985i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −22.7290 | + | 13.1226i | −1.31887 | + | 0.761449i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.09742 | − | 8.87198i | 0.0634655 | − | 0.513080i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.96617 | + | 2.28987i | −0.228606 | + | 0.131986i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.66251 | + | 4.61161i | −0.152957 | + | 0.264930i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −25.8159 | − | 14.9048i | −1.47822 | − | 0.853448i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 19.6987i | − | 1.12426i | −0.827048 | − | 0.562132i | \(-0.809981\pi\) | ||
0.827048 | − | 0.562132i | \(-0.190019\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.37345 | + | 14.5032i | 0.476349 | + | 0.825061i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −16.9685 | −0.962195 | −0.481098 | − | 0.876667i | \(-0.659762\pi\) | ||||
−0.481098 | + | 0.876667i | \(0.659762\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.53794 | −0.256500 | −0.128250 | − | 0.991742i | \(-0.540936\pi\) | ||||
−0.128250 | + | 0.991742i | \(0.540936\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 4.17687 | + | 7.23455i | 0.235340 | + | 0.407620i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | − | 29.1866i | − | 1.63928i | −0.572877 | − | 0.819641i | \(-0.694173\pi\) | ||
0.572877 | − | 0.819641i | \(-0.305827\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.492946 | + | 0.284603i | 0.0275997 | + | 0.0159347i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.04168 | − | 8.73244i | 0.281399 | − | 0.487397i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.392737 | − | 0.226747i | 0.0218525 | − | 0.0126165i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −25.2474 | − | 19.0608i | −1.40047 | − | 1.05730i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 4.29727 | − | 2.48103i | 0.237640 | − | 0.137201i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −4.57785 | + | 7.92907i | −0.252385 | + | 0.437144i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.16161 | − | 2.40271i | −0.228743 | − | 0.132065i | 0.381249 | − | 0.924472i | \(-0.375494\pi\) |
−0.609992 | + | 0.792408i | \(0.708827\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | − | 17.7222i | − | 0.971169i | ||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 24.0679 | + | 41.6868i | 1.31497 | + | 2.27759i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 17.7312 | 0.965883 | 0.482941 | − | 0.875653i | \(-0.339568\pi\) | ||||
0.482941 | + | 0.875653i | \(0.339568\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 14.2978 | 0.776550 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.67217 | + | 11.5565i | 0.361318 | + | 0.625822i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −6.89730 | − | 3.98216i | −0.371338 | − | 0.214392i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −8.35240 | + | 14.4668i | −0.448380 | + | 0.776617i | −0.998281 | − | 0.0586128i | \(-0.981332\pi\) |
0.549901 | + | 0.835230i | \(0.314666\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.0173616 | − | 0.0100237i | 0.000929347 | − | 0.000536559i | −0.499535 | − | 0.866294i | \(-0.666496\pi\) |
0.500465 | + | 0.865757i | \(0.333163\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −13.0778 | − | 9.87321i | −0.698039 | − | 0.526993i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 25.8299 | − | 14.9129i | 1.37479 | − | 0.793734i | 0.383262 | − | 0.923640i | \(-0.374801\pi\) |
0.991526 | + | 0.129905i | \(0.0414674\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 13.6646 | − | 23.6678i | 0.725243 | − | 1.25616i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.159054 | + | 0.0918298i | 0.00841803 | + | 0.00486015i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 18.3351i | − | 0.967687i | −0.875154 | − | 0.483844i | \(-0.839240\pi\) | ||
0.875154 | − | 0.483844i | \(-0.160760\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.21632 | − | 12.4990i | −0.379806 | − | 0.657844i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −19.3434 | −1.01527 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 20.7987 | 1.08866 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.672426 | + | 1.16468i | 0.0351004 | + | 0.0607956i | 0.883042 | − | 0.469294i | \(-0.155492\pi\) |
−0.847942 | + | 0.530090i | \(0.822158\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 16.9293i | − | 0.881306i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 10.4744 | + | 6.04740i | 0.543804 | + | 0.313965i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.53575 | − | 9.58821i | 0.286630 | − | 0.496458i | −0.686373 | − | 0.727250i | \(-0.740798\pi\) |
0.973003 | + | 0.230791i | \(0.0741315\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −10.4982 | + | 6.06116i | −0.542127 | + | 0.312997i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.0436269 | + | 0.352697i | −0.00224690 | + | 0.0181648i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −14.5583 | + | 8.40523i | −0.747808 | + | 0.431747i | −0.824902 | − | 0.565276i | \(-0.808769\pi\) |
0.0770930 | + | 0.997024i | \(0.475436\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 5.10152 | − | 8.83608i | 0.261359 | − | 0.452686i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −14.3562 | − | 8.28855i | −0.733567 | − | 0.423525i | 0.0861585 | − | 0.996281i | \(-0.472541\pi\) |
−0.819726 | + | 0.572756i | \(0.805874\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 21.4323i | 1.09229i | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 5.15422 | + | 8.92738i | 0.262004 | + | 0.453804i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.17013 | −0.0593280 | −0.0296640 | − | 0.999560i | \(-0.509444\pi\) | ||||
−0.0296640 | + | 0.999560i | \(0.509444\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.526121 | 0.0266071 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.21944 | − | 3.84418i | −0.111956 | − | 0.193913i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 34.1348i | 1.71751i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.6877 | + | 13.0987i | 1.13866 | + | 0.657406i | 0.946099 | − | 0.323878i | \(-0.104987\pi\) |
0.192562 | + | 0.981285i | \(0.438320\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.924862 | + | 1.60191i | −0.0463010 | + | 0.0801957i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9.84559 | + | 5.68436i | −0.491665 | + | 0.283863i | −0.725265 | − | 0.688470i | \(-0.758283\pi\) |
0.233600 | + | 0.972333i | \(0.424949\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.02003 | + | 6.64939i | −0.250066 | + | 0.331230i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 9.06094 | − | 5.23134i | 0.450242 | − | 0.259947i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 22.7340 | − | 39.3764i | 1.12688 | − | 1.95182i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −20.2056 | − | 11.6657i | −0.999102 | − | 0.576832i | −0.0911196 | − | 0.995840i | \(-0.529045\pi\) |
−0.907982 | + | 0.419008i | \(0.862378\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.13003i | 0.401025i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.115957 | + | 0.200843i | 0.00570587 | + | 0.00988286i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −11.7718 | −0.577853 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −13.1050 | −0.641754 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.33402 | − | 10.9709i | −0.309437 | − | 0.535961i | 0.668802 | − | 0.743441i | \(-0.266807\pi\) |
−0.978239 | + | 0.207479i | \(0.933474\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 27.6625i | − | 1.34819i | −0.738646 | − | 0.674094i | \(-0.764534\pi\) | ||
0.738646 | − | 0.674094i | \(-0.235466\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 17.8474 | + | 10.3042i | 0.867771 | + | 0.501008i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.930892 | − | 1.61235i | 0.0451549 | − | 0.0782105i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.95601 | + | 4.01605i | −0.336625 | + | 0.194351i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −7.02663 | − | 16.5951i | −0.339249 | − | 0.801218i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −5.55462 | + | 3.20696i | −0.267557 | + | 0.154474i | −0.627777 | − | 0.778393i | \(-0.716035\pi\) |
0.360220 | + | 0.932867i | \(0.382702\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.0325135 | + | 0.0563150i | −0.00156250 | + | 0.00270633i | −0.866806 | − | 0.498646i | \(-0.833831\pi\) |
0.865243 | + | 0.501353i | \(0.167164\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.274195 | + | 0.158307i | 0.0131467 | + | 0.00759022i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 5.29881i | 0.253477i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.3889 | − | 31.8505i | −0.877655 | − | 1.52014i | −0.853908 | − | 0.520424i | \(-0.825774\pi\) |
−0.0237469 | − | 0.999718i | \(-0.507560\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.25088 | 0.107185 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 8.46383 | 0.402129 | 0.201064 | − | 0.979578i | \(-0.435560\pi\) | ||||
0.201064 | + | 0.979578i | \(0.435560\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −21.9277 | − | 37.9798i | −1.03947 | − | 1.80042i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 17.8319i | 0.843422i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −19.5984 | − | 11.3152i | −0.924907 | − | 0.533995i | −0.0397096 | − | 0.999211i | \(-0.512643\pi\) |
−0.885197 | + | 0.465216i | \(0.845977\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 21.7169 | − | 37.6148i | 1.02261 | − | 1.77121i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 8.95026 | − | 5.16743i | 0.420520 | − | 0.242787i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −12.3223 | + | 5.21745i | −0.577677 | + | 0.244598i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.1310 | + | 8.15851i | −0.661018 | + | 0.381639i | −0.792665 | − | 0.609658i | \(-0.791307\pi\) |
0.131647 | + | 0.991297i | \(0.457974\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.482188 | − | 0.835174i | 0.0225066 | − | 0.0389826i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.6951 | + | 9.63892i | 0.777568 | + | 0.448929i | 0.835568 | − | 0.549387i | \(-0.185139\pi\) |
−0.0579996 | + | 0.998317i | \(0.518472\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 2.70218i | − | 0.125581i | −0.998027 | − | 0.0627904i | \(-0.980000\pi\) | ||
0.998027 | − | 0.0627904i | \(-0.0200000\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 3.71131 | + | 6.42818i | 0.172108 | + | 0.298100i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 18.3906 | 0.851014 | 0.425507 | − | 0.904955i | \(-0.360096\pi\) | ||||
0.425507 | + | 0.904955i | \(0.360096\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.9700 | 0.598899 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.04205 | − | 7.00104i | −0.186248 | − | 0.322591i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 26.4473i | 1.21605i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.2388 | + | 9.37545i | 0.745085 | + | 0.430175i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 13.6120 | − | 23.5767i | 0.623250 | − | 1.07950i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −35.3951 | + | 20.4354i | −1.61725 | + | 0.933717i | −0.629617 | + | 0.776906i | \(0.716788\pi\) |
−0.987629 | + | 0.156811i | \(0.949879\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 28.1733 | + | 3.48491i | 1.28459 | + | 0.158898i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.85845 | + | 1.07298i | −0.0845625 | + | 0.0488222i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −26.1311 | + | 45.2604i | −1.18655 | + | 2.05517i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.2674 | − | 8.81466i | −0.691834 | − | 0.399430i | 0.112465 | − | 0.993656i | \(-0.464125\pi\) |
−0.804299 | + | 0.594225i | \(0.797459\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 3.87517i | 0.175241i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.42997 | + | 16.3332i | 0.425569 | + | 0.737106i | 0.996473 | − | 0.0839098i | \(-0.0267408\pi\) |
−0.570905 | + | 0.821016i | \(0.693407\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.0209154 | −0.000941982 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 48.2417 | 2.16830 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.68188 | − | 6.37721i | −0.165155 | − | 0.286057i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.10742i | 0.0943410i | 0.998887 | + | 0.0471705i | \(0.0150204\pi\) | ||||
−0.998887 | + | 0.0471705i | \(0.984980\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 11.0236 | + | 6.36449i | 0.492499 | + | 0.284345i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 10.8942 | − | 18.8693i | 0.485749 | − | 0.841342i | −0.514117 | − | 0.857720i | \(-0.671880\pi\) |
0.999866 | + | 0.0163784i | \(0.00521363\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.7745 | − | 11.4168i | 0.879953 | − | 0.508041i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 7.83059 | − | 8.07976i | 0.347769 | − | 0.358835i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −10.5636 | + | 6.09887i | −0.468221 | + | 0.270328i | −0.715495 | − | 0.698618i | \(-0.753799\pi\) |
0.247273 | + | 0.968946i | \(0.420465\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.80207 | − | 4.85333i | 0.123956 | − | 0.214699i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 8.41143 | + | 4.85634i | 0.371374 | + | 0.214413i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | − | 71.8104i | − | 3.16435i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 26.4365 | + | 45.7893i | 1.16267 | + | 2.01381i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −11.9144 | −0.522986 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −26.9765 | −1.18186 | −0.590932 | − | 0.806722i | \(-0.701240\pi\) | ||||
−0.590932 | + | 0.806722i | \(0.701240\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.87683 | − | 3.25076i | −0.0820679 | − | 0.142146i | 0.822070 | − | 0.569386i | \(-0.192819\pi\) |
−0.904138 | + | 0.427241i | \(0.859486\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 7.59389i | 0.331425i | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.424644 | − | 0.245168i | −0.0184978 | − | 0.0106797i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.42629 | − | 14.5948i | 0.366360 | − | 0.634555i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.452075 | − | 0.261006i | 0.0196184 | − | 0.0113267i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 26.9129 | + | 3.32900i | 1.16573 | + | 0.144195i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −37.4445 | + | 21.6186i | −1.61887 | + | 0.934654i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −6.61198 | + | 11.4523i | −0.285328 | + | 0.494203i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.00118 | + | 2.88743i | 0.215416 | + | 0.124371i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.0135705i | 0.000583440i | 1.00000 | 0.000291720i | \(9.28574e-5\pi\) | |||||
−1.00000 | 0.000291720i | \(0.999907\pi\) | ||||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.721614 | + | 1.24987i | 0.0309674 | + | 0.0536371i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −21.2772 | −0.911416 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.66115 | 0.413081 | 0.206540 | − | 0.978438i | \(-0.433780\pi\) | ||||
0.206540 | + | 0.978438i | \(0.433780\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 9.03967 | + | 15.6572i | 0.385804 | + | 0.668232i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 0.210649i | − | 0.00897395i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.96526 | + | 4.59875i | 0.338717 | + | 0.195559i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 12.6455 | − | 21.9027i | 0.536772 | − | 0.929716i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −21.6145 | + | 12.4791i | −0.915834 | + | 0.528757i | −0.882304 | − | 0.470680i | \(-0.844008\pi\) |
−0.0335307 | + | 0.999438i | \(0.510675\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −15.2056 | + | 6.43830i | −0.643128 | + | 0.272311i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.918515 | − | 0.530305i | 0.0387797 | − | 0.0223895i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −7.94970 | + | 13.7693i | −0.335040 | + | 0.580306i | −0.983492 | − | 0.180949i | \(-0.942083\pi\) |
0.648453 | + | 0.761255i | \(0.275416\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −53.0949 | − | 30.6544i | −2.23372 | − | 1.28964i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | − | 2.81913i | − | 0.118392i | ||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −8.95465 | − | 15.5099i | −0.375398 | − | 0.650209i | 0.614988 | − | 0.788536i | \(-0.289161\pi\) |
−0.990387 | + | 0.138327i | \(0.955827\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.5123 | 0.523623 | 0.261812 | − | 0.965119i | \(-0.415680\pi\) | ||||
0.261812 | + | 0.965119i | \(0.415680\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.104707 | −0.00437418 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 10.8769 | + | 18.8394i | 0.453599 | + | 0.785657i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 22.0910i | − | 0.919662i | −0.888007 | − | 0.459831i | \(-0.847910\pi\) | ||
0.888007 | − | 0.459831i | \(-0.152090\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 2.06540 | + | 1.19246i | 0.0858353 | + | 0.0495570i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −1.58593 | + | 2.74691i | −0.0657954 | + | 0.113961i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 60.4883 | − | 34.9229i | 2.50517 | − | 1.44636i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 11.7439 | + | 27.7360i | 0.485550 | + | 1.14674i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 18.3007 | − | 10.5659i | 0.755352 | − | 0.436102i | −0.0722727 | − | 0.997385i | \(-0.523025\pi\) |
0.827624 | + | 0.561282i | \(0.189692\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.46921 | − | 4.27679i | 0.101742 | − | 0.176222i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 11.3373 | + | 6.54560i | 0.466355 | + | 0.269250i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 8.95493i | 0.367735i | 0.982951 | + | 0.183867i | \(0.0588617\pi\) | ||||
−0.982951 | + | 0.183867i | \(0.941138\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.393765 | − | 0.682021i | −0.0161428 | − | 0.0279601i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 4.59277 | 0.187970 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −41.7996 | −1.70788 | −0.853942 | − | 0.520368i | \(-0.825795\pi\) | ||||
−0.853942 | + | 0.520368i | \(0.825795\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.64481 | − | 13.2412i | −0.311838 | − | 0.540120i | 0.666922 | − | 0.745127i | \(-0.267611\pi\) |
−0.978760 | + | 0.205008i | \(0.934278\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 29.1940i | − | 1.18887i | ||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 71.8319 | + | 41.4722i | 2.92038 | + | 1.68608i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.30434 | − | 12.6515i | 0.296474 | − | 0.513508i | −0.678853 | − | 0.734275i | \(-0.737522\pi\) |
0.975327 | + | 0.220766i | \(0.0708558\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.0738809 | − | 0.0426552i | 0.00299381 | − | 0.00172847i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −19.8904 | + | 26.3462i | −0.804678 | + | 1.06585i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −33.9623 | + | 19.6081i | −1.37172 | + | 0.791965i | −0.991145 | − | 0.132783i | \(-0.957609\pi\) |
−0.380579 | + | 0.924748i | \(0.624275\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 12.0798 | − | 20.9228i | 0.487104 | − | 0.843688i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.10486 | + | 4.67934i | 0.326289 | + | 0.188383i | 0.654192 | − | 0.756328i | \(-0.273009\pi\) |
−0.327903 | + | 0.944711i | \(0.606342\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 43.7075i | 1.75675i | 0.477970 | + | 0.878376i | \(0.341373\pi\) | ||||
−0.477970 | + | 0.878376i | \(0.658627\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 5.63409 | + | 9.75852i | 0.226088 | + | 0.391596i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −11.8167 | −0.473424 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.11112 | 0.324445 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 5.34095 | + | 9.25080i | 0.213297 | + | 0.369441i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1.67072i | 0.0666159i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.0096 | + | 10.3978i | 0.716951 | + | 0.413932i | 0.813629 | − | 0.581384i | \(-0.197489\pi\) |
−0.0966785 | + | 0.995316i | \(0.530822\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 7.74558 | − | 13.4157i | 0.307859 | − | 0.533228i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −37.8890 | + | 21.8752i | −1.50358 | + | 0.868091i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.442616 | + | 3.57828i | −0.0175371 | + | 0.141777i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −14.3544 | + | 8.28749i | −0.567850 | + | 0.327848i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.61897 | + | 6.26824i | −0.142941 | + | 0.247581i | −0.928603 | − | 0.371075i | \(-0.878989\pi\) |
0.785662 | + | 0.618656i | \(0.212323\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −34.7898 | − | 20.0859i | −1.37198 | − | 0.792111i | −0.380800 | − | 0.924658i | \(-0.624351\pi\) |
−0.991177 | + | 0.132547i | \(0.957685\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 14.7110i | 0.579245i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −7.27561 | − | 12.6017i | −0.286034 | − | 0.495425i | 0.686826 | − | 0.726822i | \(-0.259004\pi\) |
−0.972859 | + | 0.231397i | \(0.925670\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.33927 | 0.0525710 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.00000 | 0.0783862 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 24.8634 | + | 43.0646i | 0.972978 | + | 1.68525i | 0.686451 | + | 0.727176i | \(0.259168\pi\) |
0.286527 | + | 0.958072i | \(0.407499\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 19.0338i | 0.743712i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −10.9243 | − | 6.30714i | −0.426197 | − | 0.246065i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −15.7988 | + | 27.3644i | −0.615436 | + | 1.06597i | 0.374872 | + | 0.927076i | \(0.377687\pi\) |
−0.990308 | + | 0.138889i | \(0.955647\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −21.5391 | + | 12.4356i | −0.837775 | + | 0.483689i | −0.856507 | − | 0.516135i | \(-0.827370\pi\) |
0.0187325 | + | 0.999825i | \(0.494037\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.528494 | + | 0.398993i | 0.0205250 | + | 0.0154956i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 6.86895 | − | 3.96579i | 0.266367 | − | 0.153787i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.122192 | − | 0.211643i | 0.00473130 | − | 0.00819485i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −12.3216 | − | 7.11388i | −0.476381 | − | 0.275039i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 46.3843i | 1.79065i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.8245 | − | 18.7486i | −0.417254 | − | 0.722705i | 0.578408 | − | 0.815748i | \(-0.303674\pi\) |
−0.995662 | + | 0.0930423i | \(0.970341\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 39.8747 | 1.53478 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 14.3935 | 0.553187 | 0.276594 | − | 0.960987i | \(-0.410794\pi\) | ||||
0.276594 | + | 0.960987i | \(0.410794\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.04093 | + | 12.1952i | 0.270206 | + | 0.468011i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 4.87367i | − | 0.186759i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 36.6968 | + | 21.1869i | 1.40416 | + | 0.810694i | 0.994817 | − | 0.101686i | \(-0.0324235\pi\) |
0.409346 | + | 0.912379i | \(0.365757\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 17.4307 | − | 30.1909i | 0.665993 | − | 1.15353i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −20.7796 | + | 11.9971i | −0.792793 | + | 0.457719i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 34.8037 | + | 26.2754i | 1.32591 | + | 1.00101i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.8651 | − | 11.4691i | 0.755703 | − | 0.436305i | −0.0720480 | − | 0.997401i | \(-0.522953\pi\) |
0.827751 | + | 0.561096i | \(0.189620\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 6.49927 | − | 11.2571i | 0.246887 | − | 0.427621i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 48.6654 | + | 28.0970i | 1.84598 | + | 1.06578i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.59597i | 0.0604518i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 8.70291 | + | 15.0739i | 0.329174 | + | 0.570146i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.70699 | 0.0644723 | 0.0322361 | − | 0.999480i | \(-0.489737\pi\) | ||||
0.0322361 | + | 0.999480i | \(0.489737\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.8266 | −0.634627 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 14.7050 | + | 25.4697i | 0.553821 | + | 0.959245i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | − | 6.15243i | − | 0.231386i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15.7730 | − | 9.10657i | −0.592369 | − | 0.342005i | 0.173665 | − | 0.984805i | \(-0.444439\pi\) |
−0.766034 | + | 0.642800i | \(0.777772\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 10.3512 | − | 17.9289i | 0.388202 | − | 0.672385i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 4.96172 | − | 2.86465i | 0.185818 | − | 0.107282i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.48629 | + | 76.6909i | −0.354767 | + | 2.86808i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 4.96933 | − | 2.86904i | 0.185583 | − | 0.107146i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −1.79107 | + | 3.10222i | −0.0667956 | + | 0.115693i | −0.897489 | − | 0.441037i | \(-0.854611\pi\) |
0.830694 | + | 0.556730i | \(0.187944\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −16.7568 | − | 9.67453i | −0.624055 | − | 0.360298i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 1.39942i | − | 0.0520450i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.432401 | − | 0.748941i | −0.0160590 | − | 0.0278150i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.21747 | −0.119329 | −0.0596647 | − | 0.998218i | \(-0.519003\pi\) | ||||
−0.0596647 | + | 0.998218i | \(0.519003\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 5.45503 | 0.202038 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.485903 | − | 0.841608i | −0.0179718 | − | 0.0311280i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.79233i | 0.177009i | 0.996076 | + | 0.0885043i | \(0.0282087\pi\) | ||||
−0.996076 | + | 0.0885043i | \(0.971791\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 2.78184 | + | 1.60610i | 0.102610 | + | 0.0592418i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 37.4500 | − | 64.8653i | 1.37949 | − | 2.38934i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.69853 | + | 5.59945i | −0.356766 | + | 0.205979i | −0.667661 | − | 0.744465i | \(-0.732705\pi\) |
0.310895 | + | 0.950444i | \(0.399371\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.01845 | + | 5.32272i | −0.147621 | + | 0.195535i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 33.1315 | − | 19.1285i | 1.21548 | − | 0.701757i | 0.251531 | − | 0.967849i | \(-0.419066\pi\) |
0.963947 | + | 0.266093i | \(0.0857328\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 38.2315 | − | 66.2189i | 1.40069 | − | 2.42607i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 6.18297 | + | 3.56974i | 0.226223 | + | 0.130610i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 11.6501i | 0.425686i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.920125 | + | 1.59370i | 0.0335758 | + | 0.0581551i | 0.882325 | − | 0.470641i | \(-0.155977\pi\) |
−0.848749 | + | 0.528796i | \(0.822644\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.438826 | 0.0159917 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −44.3157 | −1.61281 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.5961 | + | 18.3529i | 0.385120 | + | 0.667048i | 0.991786 | − | 0.127909i | \(-0.0408266\pi\) |
−0.606666 | + | 0.794957i | \(0.707493\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 12.3926i | 0.449823i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −12.2381 | − | 7.06566i | −0.443630 | − | 0.256130i | 0.261506 | − | 0.965202i | \(-0.415781\pi\) |
−0.705136 | + | 0.709072i | \(0.749114\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.86654 | + | 4.96499i | −0.103776 | + | 0.179745i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.53515 | + | 0.886319i | −0.0555034 | + | 0.0320449i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.326030 | + | 0.769999i | 0.0117723 | + | 0.0278030i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −26.5219 | + | 15.3124i | −0.956405 | + | 0.552181i | −0.895065 | − | 0.445936i | \(-0.852871\pi\) |
−0.0613401 | + | 0.998117i | \(0.519537\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.17206 | + | 7.22621i | −0.150253 | + | 0.260246i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.48254 | − | 4.89740i | −0.305096 | − | 0.176147i | 0.339634 | − | 0.940558i | \(-0.389697\pi\) |
−0.644730 | + | 0.764411i | \(0.723030\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 20.2743i | − | 0.728273i | ||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −3.40729 | − | 5.90159i | −0.122236 | − | 0.211718i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −16.0738 | −0.575904 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −42.5248 | −1.52166 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.223977 | − | 0.387940i | −0.00800430 | − | 0.0138638i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 34.6645i | 1.23723i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −17.8665 | − | 10.3152i | −0.636873 | − | 0.367699i | 0.146536 | − | 0.989205i | \(-0.453188\pi\) |
−0.783409 | + | 0.621507i | \(0.786521\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −3.17911 | + | 5.50638i | −0.113179 | + | 0.196032i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −14.3062 | + | 8.25971i | −0.508671 | + | 0.293682i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −26.6681 | + | 11.2917i | −0.947013 | + | 0.400981i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 33.6458 | − | 19.4254i | 1.19330 | − | 0.688949i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 3.88584 | − | 6.73047i | 0.137643 | − | 0.238405i | −0.788961 | − | 0.614444i | \(-0.789381\pi\) |
0.926604 | + | 0.376038i | \(0.122714\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.68252 | − | 0.971406i | −0.0595234 | − | 0.0343659i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 26.5979i | 0.939791i | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −16.1816 | − | 28.0273i | −0.571036 | − | 0.989063i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 9.20183 | 0.324322 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 19.3478 | 0.681074 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −21.2715 | − | 36.8433i | −0.747866 | − | 1.29534i | −0.948844 | − | 0.315746i | \(-0.897745\pi\) |
0.200977 | − | 0.979596i | \(-0.435588\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 22.1131i | 0.776494i | 0.921555 | + | 0.388247i | \(0.126919\pi\) | ||||
−0.921555 | + | 0.388247i | \(0.873081\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −7.20880 | − | 4.16200i | −0.252824 | − | 0.145968i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 8.30833 | − | 14.3905i | 0.291028 | − | 0.504076i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.47624 | − | 4.89376i | 0.296546 | − | 0.171211i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 8.05429 | + | 0.996277i | 0.281440 | + | 0.0348127i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 21.0920 | − | 12.1775i | 0.736115 | − | 0.424996i | −0.0845401 | − | 0.996420i | \(-0.526942\pi\) |
0.820655 | + | 0.571424i | \(0.193609\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.37957 | − | 4.12153i | 0.0829465 | − | 0.143668i | −0.821568 | − | 0.570111i | \(-0.806900\pi\) |
0.904514 | + | 0.426443i | \(0.140234\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 37.9784 | + | 21.9269i | 1.32224 | + | 0.763395i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 7.00333i | − | 0.243530i | −0.992559 | − | 0.121765i | \(-0.961145\pi\) | ||
0.992559 | − | 0.121765i | \(-0.0388554\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.87619 | − | 4.98170i | −0.0998941 | − | 0.173022i | 0.811747 | − | 0.584010i | \(-0.198517\pi\) |
−0.911641 | + | 0.410988i | \(0.865184\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −8.80998 | −0.305615 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.212197 | −0.00735219 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −27.2908 | − | 47.2691i | −0.944438 | − | 1.63582i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 10.5018i | − | 0.362994i | ||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 35.6863 | + | 20.6035i | 1.23203 | + | 0.711311i | 0.967452 | − | 0.253054i | \(-0.0814350\pi\) |
0.264575 | + | 0.964365i | \(0.414768\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.4951 | − | 25.1063i | 0.499832 | − | 0.865735i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −10.6207 | + | 6.13184i | −0.365795 | + | 0.211192i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −46.4018 | + | 13.2155i | −1.59627 | + | 0.454626i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 19.3549 | − | 11.1745i | 0.665041 | − | 0.383961i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −8.19323 | + | 14.1911i | −0.281191 | + | 0.487037i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −16.9060 | − | 9.76069i | −0.579530 | − | 0.334592i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 2.38939i | − | 0.0818113i | −0.999163 | − | 0.0409056i | \(-0.986976\pi\) | ||
0.999163 | − | 0.0409056i | \(-0.0130243\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −8.92654 | − | 15.4612i | −0.305281 | − | 0.528762i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −13.8037 | −0.471526 | −0.235763 | − | 0.971811i | \(-0.575759\pi\) | ||||
−0.235763 | + | 0.971811i | \(0.575759\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 37.7276 | 1.28725 | 0.643624 | − | 0.765342i | \(-0.277430\pi\) | ||||
0.643624 | + | 0.765342i | \(0.277430\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.25485 | − | 5.63757i | −0.110925 | − | 0.192128i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 25.5180i | − | 0.868643i | −0.900758 | − | 0.434322i | \(-0.856988\pi\) | ||
0.900758 | − | 0.434322i | \(-0.143012\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 44.2443 | + | 25.5444i | 1.50435 | + | 0.868537i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 7.33739 | − | 12.7087i | 0.249191 | − | 0.431611i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 45.9983 | − | 26.5571i | 1.56039 | − | 0.900889i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 46.4103 | + | 5.74073i | 1.57255 | + | 0.194517i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 27.4501 | − | 15.8483i | 0.929045 | − | 0.536384i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 7.00296 | − | 12.1295i | 0.236743 | − | 0.410051i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 10.7726 | + | 6.21955i | 0.363764 | + | 0.210019i | 0.670731 | − | 0.741701i | \(-0.265981\pi\) |
−0.306966 | + | 0.951720i | \(0.599314\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 3.16763i | − | 0.106842i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.2710 | − | 19.5219i | −0.379728 | − | 0.657709i | 0.611294 | − | 0.791404i | \(-0.290649\pi\) |
−0.991023 | + | 0.133694i | \(0.957316\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.1548 | 0.509998 | 0.254999 | − | 0.966941i | \(-0.417925\pi\) | ||||
0.254999 | + | 0.966941i | \(0.417925\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.744954 | 0.0250413 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 20.8875 | + | 36.1781i | 0.701332 | + | 1.21474i | 0.967999 | + | 0.250954i | \(0.0807443\pi\) |
−0.266667 | + | 0.963789i | \(0.585922\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 11.7884i | 0.395370i | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −14.0990 | − | 8.14004i | −0.472333 | − | 0.272702i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 9.78349 | − | 16.9455i | 0.327392 | − | 0.567060i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 49.1072 | − | 28.3521i | 1.64147 | − | 0.947705i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −7.12498 | + | 3.01684i | −0.237896 | + | 0.100729i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.197248 | + | 0.113881i | −0.00657860 | + | 0.00379815i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.28324 | + | 2.22264i | −0.0427509 | + | 0.0740468i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.43278 | + | 1.98191i | 0.114236 | + | 0.0659540i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | − | 6.18853i | − | 0.205714i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.14376 | − | 3.71310i | −0.0711823 | − | 0.123291i | 0.828237 | − | 0.560377i | \(-0.189344\pi\) |
−0.899420 | + | 0.437086i | \(0.856011\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −13.8484 | −0.459323 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 3.87618 | 0.128423 | 0.0642117 | − | 0.997936i | \(-0.479547\pi\) | ||||
0.0642117 | + | 0.997936i | \(0.479547\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.15853 | + | 15.8630i | 0.303103 | + | 0.524990i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 25.8007i | 0.852945i | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 4.44149 | + | 2.56429i | 0.146671 | + | 0.0846805i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 22.9524 | − | 39.7547i | 0.757129 | − | 1.31139i | −0.187180 | − | 0.982326i | \(-0.559935\pi\) |
0.944309 | − | 0.329060i | \(-0.106732\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −14.7653 | + | 8.52476i | −0.486534 | + | 0.280900i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −10.3522 | − | 24.4491i | −0.340745 | − | 0.804752i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −59.8253 | + | 34.5401i | −1.96704 | + | 1.13567i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −21.7762 | + | 37.7176i | −0.715226 | + | 1.23881i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 8.51833 | + | 4.91806i | 0.279477 | + | 0.161356i | 0.633187 | − | 0.773999i | \(-0.281746\pi\) |
−0.353709 | + | 0.935355i | \(0.615080\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 2.13714i | − | 0.0700418i | ||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 7.34325 | + | 12.7189i | 0.240407 | + | 0.416397i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −4.54788 | −0.148731 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 21.5135 | 0.702815 | 0.351407 | − | 0.936223i | \(-0.385703\pi\) | ||||
0.351407 | + | 0.936223i | \(0.385703\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1.96383 | + | 3.40145i | 0.0640871 | + | 0.111002i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.41845i | 0.209236i | 0.994513 | + | 0.104618i | \(0.0333619\pi\) | ||||
−0.994513 | + | 0.104618i | \(0.966638\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −16.1497 | − | 9.32402i | −0.525906 | − | 0.303632i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 8.43344 | − | 14.6071i | 0.274340 | − | 0.475170i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −6.55812 | + | 3.78633i | −0.213110 | + | 0.123039i | −0.602756 | − | 0.797926i | \(-0.705931\pi\) |
0.389646 | + | 0.920965i | \(0.372597\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 12.1748 | − | 16.1263i | 0.395209 | − | 0.523483i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −21.8770 | + | 12.6307i | −0.709412 | + | 0.409579i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −17.9022 | + | 31.0075i | −0.579909 | + | 1.00443i | 0.415580 | + | 0.909557i | \(0.363579\pi\) |
−0.995489 | + | 0.0948754i | \(0.969755\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.388828 | + | 0.224490i | 0.0125822 | + | 0.00726432i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | − | 0.492656i | − | 0.0159253i | ||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −4.69664 | − | 8.13482i | −0.151662 | − | 0.262687i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.6604 | 0.827754 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 26.2231 | 0.845027 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −5.11326 | − | 8.85642i | −0.164602 | − | 0.285098i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32.3876i | 1.04152i | 0.853704 | + | 0.520758i | \(0.174351\pi\) | ||||
−0.853704 | + | 0.520758i | \(0.825649\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.339920 | − | 0.196253i | −0.0109198 | − | 0.00630455i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 17.2033 | − | 29.7969i | 0.552079 | − | 0.956229i | −0.446045 | − | 0.895010i | \(-0.647168\pi\) |
0.998124 | − | 0.0612186i | \(-0.0194987\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 13.1127 | − | 7.57063i | 0.420374 | − | 0.242703i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −3.36118 | + | 27.1731i | −0.107644 | + | 0.870235i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 20.0471 | − | 11.5742i | 0.641364 | − | 0.370291i | −0.143776 | − | 0.989610i | \(-0.545924\pi\) |
0.785140 | + | 0.619319i | \(0.212591\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −34.1198 | + | 59.0972i | −1.09047 | + | 1.88876i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 11.1756 | + | 6.45224i | 0.356810 | + | 0.206004i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | − | 47.0579i | − | 1.50092i | −0.660919 | − | 0.750458i | \(-0.729833\pi\) | ||
0.660919 | − | 0.750458i | \(-0.270167\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −28.0674 | − | 48.6142i | −0.894303 | − | 1.54898i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 7.92439 | 0.252236 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 11.3550 | 0.361068 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.95052 | − | 10.3066i | −0.189025 | − | 0.327400i | 0.755901 | − | 0.654686i | \(-0.227199\pi\) |
−0.944925 | + | 0.327286i | \(0.893866\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 4.15916i | 0.131987i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −17.0553 | − | 9.84686i | −0.540688 | − | 0.312167i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −6.50714 | + | 11.2707i | −0.206083 | + | 0.356946i | −0.950477 | − | 0.310794i | \(-0.899405\pi\) |
0.744394 | + | 0.667740i | \(0.232738\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −30.9886 | + | 17.8913i | −0.980435 | + | 0.566055i |
(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 | 1456.2.cc.d.673.2 | 12 | ||
4.3 | odd | 2 | 182.2.m.b.127.3 | yes | 12 | ||
12.11 | even | 2 | 1638.2.bj.g.127.4 | 12 | |||
13.4 | even | 6 | inner | 1456.2.cc.d.225.2 | 12 | ||
28.3 | even | 6 | 1274.2.o.e.569.1 | 12 | |||
28.11 | odd | 6 | 1274.2.o.d.569.3 | 12 | |||
28.19 | even | 6 | 1274.2.v.d.361.6 | 12 | |||
28.23 | odd | 6 | 1274.2.v.e.361.4 | 12 | |||
28.27 | even | 2 | 1274.2.m.c.491.1 | 12 | |||
52.3 | odd | 6 | 2366.2.d.r.337.2 | 12 | |||
52.11 | even | 12 | 2366.2.a.bh.1.2 | 6 | |||
52.15 | even | 12 | 2366.2.a.bf.1.2 | 6 | |||
52.23 | odd | 6 | 2366.2.d.r.337.8 | 12 | |||
52.43 | odd | 6 | 182.2.m.b.43.3 | ✓ | 12 | ||
156.95 | even | 6 | 1638.2.bj.g.1135.6 | 12 | |||
364.95 | odd | 6 | 1274.2.v.e.667.4 | 12 | |||
364.199 | even | 6 | 1274.2.v.d.667.6 | 12 | |||
364.251 | even | 6 | 1274.2.m.c.589.1 | 12 | |||
364.303 | odd | 6 | 1274.2.o.d.459.6 | 12 | |||
364.355 | even | 6 | 1274.2.o.e.459.4 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
182.2.m.b.43.3 | ✓ | 12 | 52.43 | odd | 6 | ||
182.2.m.b.127.3 | yes | 12 | 4.3 | odd | 2 | ||
1274.2.m.c.491.1 | 12 | 28.27 | even | 2 | |||
1274.2.m.c.589.1 | 12 | 364.251 | even | 6 | |||
1274.2.o.d.459.6 | 12 | 364.303 | odd | 6 | |||
1274.2.o.d.569.3 | 12 | 28.11 | odd | 6 | |||
1274.2.o.e.459.4 | 12 | 364.355 | even | 6 | |||
1274.2.o.e.569.1 | 12 | 28.3 | even | 6 | |||
1274.2.v.d.361.6 | 12 | 28.19 | even | 6 | |||
1274.2.v.d.667.6 | 12 | 364.199 | even | 6 | |||
1274.2.v.e.361.4 | 12 | 28.23 | odd | 6 | |||
1274.2.v.e.667.4 | 12 | 364.95 | odd | 6 | |||
1456.2.cc.d.225.2 | 12 | 13.4 | even | 6 | inner | ||
1456.2.cc.d.673.2 | 12 | 1.1 | even | 1 | trivial | ||
1638.2.bj.g.127.4 | 12 | 12.11 | even | 2 | |||
1638.2.bj.g.1135.6 | 12 | 156.95 | even | 6 | |||
2366.2.a.bf.1.2 | 6 | 52.15 | even | 12 | |||
2366.2.a.bh.1.2 | 6 | 52.11 | even | 12 | |||
2366.2.d.r.337.2 | 12 | 52.3 | odd | 6 | |||
2366.2.d.r.337.8 | 12 | 52.23 | odd | 6 |