Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,3,Mod(79,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.79");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.o (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: | \(6.10355792167\) |
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: | \( x^{12} - 3 x^{11} - 4 x^{10} + 3 x^{9} + 86 x^{8} - 163 x^{7} + 155 x^{6} - 166 x^{5} + 164 x^{4} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{23}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 79.5 | ||
Root | \(0.907369 + 0.0534805i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 224.79 |
Dual form | 224.3.o.d.207.5 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 | ||||||||
\(3\) | 2.66613 | + | 4.61787i | 0.888709 | + | 1.53929i | 0.841403 | + | 0.540409i | \(0.181730\pi\) |
0.0473064 | + | 0.998880i | \(0.484936\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.86796 | − | 1.07847i | −0.373592 | − | 0.215693i | 0.301435 | − | 0.953487i | \(-0.402534\pi\) |
−0.675026 | + | 0.737794i | \(0.735868\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −6.91861 | − | 1.06433i | −0.988373 | − | 0.152047i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −9.71647 | + | 16.8294i | −1.07961 | + | 1.86993i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.62956 | + | 4.55453i | 0.239051 | + | 0.414048i | 0.960442 | − | 0.278480i | \(-0.0898305\pi\) |
−0.721392 | + | 0.692527i | \(0.756497\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 21.4116i | 1.64704i | 0.567285 | + | 0.823522i | \(0.307994\pi\) | ||||
−0.567285 | + | 0.823522i | \(0.692006\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 11.5013i | − | 0.766754i | ||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.463429 | − | 0.802683i | −0.0272606 | − | 0.0472167i | 0.852073 | − | 0.523423i | \(-0.175345\pi\) |
−0.879334 | + | 0.476206i | \(0.842012\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.96505 | + | 5.13561i | −0.156055 | + | 0.270295i | −0.933443 | − | 0.358726i | \(-0.883211\pi\) |
0.777388 | + | 0.629022i | \(0.216544\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −13.5310 | − | 34.7869i | −0.644332 | − | 1.65652i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 7.52507 | + | 4.34460i | 0.327177 | + | 0.188896i | 0.654587 | − | 0.755987i | \(-0.272843\pi\) |
−0.327410 | + | 0.944882i | \(0.606176\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −10.1738 | − | 17.6216i | −0.406953 | − | 0.704863i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −55.6311 | −2.06041 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 9.42223i | − | 0.324904i | −0.986716 | − | 0.162452i | \(-0.948060\pi\) | ||
0.986716 | − | 0.162452i | \(-0.0519403\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 29.8813 | − | 17.2520i | 0.963912 | − | 0.556515i | 0.0665375 | − | 0.997784i | \(-0.478805\pi\) |
0.897375 | + | 0.441269i | \(0.145471\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −14.0215 | + | 24.2859i | −0.424893 | + | 0.735936i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 11.7758 | + | 9.44961i | 0.336453 | + | 0.269989i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 11.0853 | + | 6.40011i | 0.299603 | + | 0.172976i | 0.642265 | − | 0.766483i | \(-0.277995\pi\) |
−0.342662 | + | 0.939459i | \(0.611328\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −98.8758 | + | 57.0860i | −2.53528 | + | 1.46374i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 43.1339 | 1.05205 | 0.526023 | − | 0.850470i | \(-0.323683\pi\) | ||||
0.526023 | + | 0.850470i | \(0.323683\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 41.7382 | 0.970656 | 0.485328 | − | 0.874332i | \(-0.338700\pi\) | ||||
0.485328 | + | 0.874332i | \(0.338700\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 36.2999 | − | 20.9578i | 0.806665 | − | 0.465728i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 39.8357 | + | 22.9991i | 0.847567 | + | 0.489343i | 0.859829 | − | 0.510582i | \(-0.170570\pi\) |
−0.0122620 | + | 0.999925i | \(0.503903\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 46.7344 | + | 14.7273i | 0.953764 | + | 0.300558i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.47112 | − | 4.28011i | 0.0484534 | − | 0.0839238i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −64.5031 | + | 37.2409i | −1.21704 | + | 0.702658i | −0.964284 | − | 0.264872i | \(-0.914670\pi\) |
−0.252756 | + | 0.967530i | \(0.581337\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 11.3436i | − | 0.206246i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −31.6208 | −0.554751 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 26.8367 | + | 46.4825i | 0.454860 | + | 0.787840i | 0.998680 | − | 0.0513617i | \(-0.0163561\pi\) |
−0.543821 | + | 0.839201i | \(0.683023\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 24.0893 | + | 13.9080i | 0.394907 | + | 0.228000i | 0.684284 | − | 0.729215i | \(-0.260115\pi\) |
−0.289377 | + | 0.957215i | \(0.593448\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 85.1365 | − | 106.095i | 1.35137 | − | 1.68404i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 23.0916 | − | 39.9959i | 0.355256 | − | 0.615322i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −39.2453 | − | 67.9749i | −0.585751 | − | 1.01455i | −0.994781 | − | 0.102030i | \(-0.967466\pi\) |
0.409030 | − | 0.912521i | \(-0.365867\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 46.3330i | 0.671493i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 74.5100i | 1.04944i | 0.851276 | + | 0.524719i | \(0.175829\pi\) | ||||
−0.851276 | + | 0.524719i | \(0.824171\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −16.8020 | − | 29.1020i | −0.230165 | − | 0.398657i | 0.727692 | − | 0.685904i | \(-0.240593\pi\) |
−0.957857 | + | 0.287247i | \(0.907260\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 54.2494 | − | 93.9627i | 0.723325 | − | 1.25284i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −13.3454 | − | 34.3097i | −0.173317 | − | 0.445581i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −26.1642 | − | 15.1059i | −0.331192 | − | 0.191214i | 0.325178 | − | 0.945653i | \(-0.394576\pi\) |
−0.656370 | + | 0.754439i | \(0.727909\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −60.8713 | − | 105.432i | −0.751497 | − | 1.30163i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 72.9274 | 0.878644 | 0.439322 | − | 0.898330i | \(-0.355219\pi\) | ||||
0.439322 | + | 0.898330i | \(0.355219\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.99917i | 0.0235197i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 43.5106 | − | 25.1209i | 0.500122 | − | 0.288745i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 27.4198 | − | 47.4925i | 0.308088 | − | 0.533624i | −0.669856 | − | 0.742491i | \(-0.733644\pi\) |
0.977944 | + | 0.208867i | \(0.0669776\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 22.7889 | − | 148.138i | 0.250428 | − | 1.62789i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 159.335 | + | 91.9919i | 1.71328 | + | 0.989160i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 11.0772 | − | 6.39541i | 0.116602 | − | 0.0673201i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −53.7125 | −0.553738 | −0.276869 | − | 0.960908i | \(-0.589297\pi\) | ||||
−0.276869 | + | 0.960908i | \(0.589297\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −102.200 | −1.03232 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 78.2037 | − | 45.1509i | 0.774294 | − | 0.447039i | −0.0601103 | − | 0.998192i | \(-0.519145\pi\) |
0.834404 | + | 0.551153i | \(0.185812\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −97.6980 | − | 56.4060i | −0.948525 | − | 0.547631i | −0.0559023 | − | 0.998436i | \(-0.517804\pi\) |
−0.892622 | + | 0.450805i | \(0.851137\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −12.2412 | + | 79.5731i | −0.116583 | + | 0.757839i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −71.9950 | + | 124.699i | −0.672851 | + | 1.16541i | 0.304241 | + | 0.952595i | \(0.401597\pi\) |
−0.977092 | + | 0.212817i | \(0.931736\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 57.7477 | − | 33.3406i | 0.529795 | − | 0.305877i | −0.211138 | − | 0.977456i | \(-0.567717\pi\) |
0.740933 | + | 0.671579i | \(0.234384\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 68.2540i | 0.614901i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.16467 | 0.0634042 | 0.0317021 | − | 0.999497i | \(-0.489907\pi\) | ||||
0.0317021 | + | 0.999497i | \(0.489907\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.37101 | − | 16.2311i | −0.0814870 | − | 0.141140i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −360.344 | − | 208.045i | −3.07986 | − | 1.77816i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.35197 | + | 6.04670i | 0.0197645 | + | 0.0508126i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 46.6709 | − | 80.8363i | 0.385710 | − | 0.668069i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 115.000 | + | 199.187i | 0.934963 | + | 1.61940i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 97.8118i | 0.782494i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 131.492i | 1.03537i | 0.855572 | + | 0.517684i | \(0.173206\pi\) | ||||
−0.855572 | + | 0.517684i | \(0.826794\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 111.279 | + | 192.742i | 0.862631 | + | 1.49412i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.38060 | + | 7.58742i | −0.0334397 | + | 0.0579193i | −0.882261 | − | 0.470761i | \(-0.843980\pi\) |
0.848821 | + | 0.528680i | \(0.177313\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 25.9800 | − | 32.3755i | 0.195338 | − | 0.243425i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 103.916 | + | 59.9962i | 0.769752 | + | 0.444416i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 118.420 | + | 205.110i | 0.864381 | + | 1.49715i | 0.867660 | + | 0.497158i | \(0.165623\pi\) |
−0.00327850 | + | 0.999995i | \(0.501044\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −172.122 | −1.23828 | −0.619142 | − | 0.785279i | \(-0.712520\pi\) | ||||
−0.619142 | + | 0.785279i | \(0.712520\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 245.274i | 1.73954i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −97.5195 | + | 56.3029i | −0.681955 | + | 0.393727i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −10.1616 | + | 17.6003i | −0.0700797 | + | 0.121382i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 56.5909 | + | 255.078i | 0.384972 | + | 1.73523i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −199.798 | − | 115.354i | −1.34093 | − | 0.774186i | −0.353985 | − | 0.935251i | \(-0.615174\pi\) |
−0.986944 | + | 0.161066i | \(0.948507\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 128.077 | − | 73.9452i | 0.848190 | − | 0.489703i | −0.0118494 | − | 0.999930i | \(-0.503772\pi\) |
0.860040 | + | 0.510227i | \(0.170439\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 18.0116 | 0.117723 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −74.4227 | −0.480146 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 99.4450 | − | 57.4146i | 0.633407 | − | 0.365698i | −0.148663 | − | 0.988888i | \(-0.547497\pi\) |
0.782070 | + | 0.623190i | \(0.214164\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −343.947 | − | 198.578i | −2.16319 | − | 1.24892i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −47.4389 | − | 38.0677i | −0.294652 | − | 0.236446i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 24.6545 | − | 42.7029i | 0.151255 | − | 0.261981i | −0.780434 | − | 0.625238i | \(-0.785002\pi\) |
0.931689 | + | 0.363257i | \(0.118335\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 52.3830 | − | 30.2433i | 0.317473 | − | 0.183293i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | − | 241.457i | − | 1.44585i | −0.690926 | − | 0.722926i | \(-0.742797\pi\) | ||
0.690926 | − | 0.722926i | \(-0.257203\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −289.455 | −1.71275 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −57.6196 | − | 99.8001i | −0.336957 | − | 0.583626i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −47.1300 | − | 27.2105i | −0.272428 | − | 0.157286i | 0.357563 | − | 0.933889i | \(-0.383608\pi\) |
−0.629990 | + | 0.776603i | \(0.716941\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 51.6336 | + | 132.745i | 0.295049 | + | 0.758544i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −143.100 | + | 247.857i | −0.808475 | + | 1.40032i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −63.5100 | − | 110.003i | −0.354805 | − | 0.614540i | 0.632280 | − | 0.774740i | \(-0.282119\pi\) |
−0.987084 | + | 0.160200i | \(0.948786\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 212.704i | − | 1.17516i | −0.809165 | − | 0.587581i | \(-0.800080\pi\) | ||
0.809165 | − | 0.587581i | \(-0.199920\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 148.322i | 0.810502i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −13.8046 | − | 23.9103i | −0.0746194 | − | 0.129245i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.43723 | − | 4.22140i | 0.0130333 | − | 0.0225743i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 384.890 | + | 59.2097i | 2.03645 | + | 0.313279i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 35.1041 | + | 20.2674i | 0.183791 | + | 0.106112i | 0.589073 | − | 0.808080i | \(-0.299493\pi\) |
−0.405282 | + | 0.914192i | \(0.632826\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −141.153 | − | 244.485i | −0.731364 | − | 1.26676i | −0.956300 | − | 0.292387i | \(-0.905551\pi\) |
0.224936 | − | 0.974374i | \(-0.427783\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 246.261 | 1.26288 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 261.806i | 1.32896i | 0.747304 | + | 0.664482i | \(0.231348\pi\) | ||||
−0.747304 | + | 0.664482i | \(0.768652\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 278.968 | − | 161.062i | 1.40185 | − | 0.809357i | 0.407265 | − | 0.913310i | \(-0.366482\pi\) |
0.994582 | + | 0.103953i | \(0.0331492\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 209.266 | − | 362.460i | 1.04113 | − | 1.80328i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −10.0283 | + | 65.1887i | −0.0494007 | + | 0.321127i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −80.5723 | − | 46.5184i | −0.393036 | − | 0.226919i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −146.234 | + | 84.4283i | −0.706445 | + | 0.407866i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −31.1870 | −0.149220 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −169.792 | −0.804702 | −0.402351 | − | 0.915485i | \(-0.631807\pi\) | ||||
−0.402351 | + | 0.915485i | \(0.631807\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −344.077 | + | 198.653i | −1.61539 | + | 0.932644i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −77.9652 | − | 45.0133i | −0.362629 | − | 0.209364i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −225.099 | + | 87.5562i | −1.03732 | + | 0.403485i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 89.5927 | − | 155.179i | 0.409099 | − | 0.708581i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 17.1867 | − | 9.92275i | 0.0777679 | − | 0.0448993i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 45.4626i | 0.203868i | 0.994791 | + | 0.101934i | \(0.0325031\pi\) | ||||
−0.994791 | + | 0.101934i | \(0.967497\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 395.414 | 1.75740 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 92.5653 | + | 160.328i | 0.407777 | + | 0.706290i | 0.994640 | − | 0.103396i | \(-0.0329708\pi\) |
−0.586864 | + | 0.809686i | \(0.699637\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 160.173 | + | 92.4759i | 0.699445 | + | 0.403825i | 0.807141 | − | 0.590359i | \(-0.201014\pi\) |
−0.107695 | + | 0.994184i | \(0.534347\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 122.857 | − | 153.101i | 0.531849 | − | 0.662776i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −48.3504 | + | 83.7453i | −0.207512 | + | 0.359422i | −0.950930 | − | 0.309405i | \(-0.899870\pi\) |
0.743418 | + | 0.668827i | \(0.233203\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −49.6076 | − | 85.9228i | −0.211096 | − | 0.365629i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 161.097i | − | 0.679734i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 163.185i | 0.682782i | 0.939921 | + | 0.341391i | \(0.110898\pi\) | ||||
−0.939921 | + | 0.341391i | \(0.889102\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −102.745 | − | 177.960i | −0.426330 | − | 0.738424i | 0.570214 | − | 0.821496i | \(-0.306860\pi\) |
−0.996544 | + | 0.0830718i | \(0.973527\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 74.2413 | − | 128.590i | 0.305520 | − | 0.529176i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −71.4150 | − | 77.9116i | −0.291490 | − | 0.318006i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −109.962 | − | 63.4863i | −0.445188 | − | 0.257030i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 194.434 | + | 336.769i | 0.780859 | + | 1.35249i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 159.299 | 0.634658 | 0.317329 | − | 0.948316i | \(-0.397214\pi\) | ||||
0.317329 | + | 0.948316i | \(0.397214\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 45.6975i | 0.180622i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −9.23191 | + | 5.33005i | −0.0362036 | + | 0.0209021i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −107.889 | + | 186.868i | −0.419800 | + | 0.727114i | −0.995919 | − | 0.0902512i | \(-0.971233\pi\) |
0.576119 | + | 0.817366i | \(0.304566\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −69.8832 | − | 56.0783i | −0.269819 | − | 0.216518i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 158.571 | + | 91.5507i | 0.607550 | + | 0.350769i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 285.059 | − | 164.579i | 1.08387 | − | 0.625775i | 0.151935 | − | 0.988391i | \(-0.451450\pi\) |
0.931939 | + | 0.362616i | \(0.118116\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 160.652 | 0.606234 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 292.419 | 1.09520 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 253.803 | − | 146.533i | 0.943507 | − | 0.544734i | 0.0524492 | − | 0.998624i | \(-0.483297\pi\) |
0.891058 | + | 0.453889i | \(0.149964\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −23.2529 | − | 13.4251i | −0.0858042 | − | 0.0495391i | 0.456484 | − | 0.889732i | \(-0.349109\pi\) |
−0.542288 | + | 0.840193i | \(0.682442\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 744.841 | − | 289.719i | 2.72836 | − | 1.06124i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 53.5053 | − | 92.6739i | 0.194565 | − | 0.336996i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −289.925 | + | 167.389i | −1.04666 | + | 0.604291i | −0.921713 | − | 0.387872i | \(-0.873210\pi\) |
−0.124949 | + | 0.992163i | \(0.539877\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 670.513i | 2.40327i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −123.357 | −0.438994 | −0.219497 | − | 0.975613i | \(-0.570442\pi\) | ||||
−0.219497 | + | 0.975613i | \(0.570442\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.309453 | − | 0.535988i | −0.00109347 | − | 0.00189395i | 0.865478 | − | 0.500947i | \(-0.167015\pi\) |
−0.866572 | + | 0.499053i | \(0.833681\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 59.0663 | + | 34.1019i | 0.207250 | + | 0.119656i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −298.427 | − | 45.9086i | −1.03981 | − | 0.159960i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 144.070 | − | 249.537i | 0.498514 | − | 0.863451i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −143.204 | − | 248.037i | −0.492112 | − | 0.852362i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 28.2794i | − | 0.0965169i | −0.998835 | − | 0.0482584i | \(-0.984633\pi\) | ||
0.998835 | − | 0.0482584i | \(-0.0153671\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 115.770i | − | 0.392440i | ||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −146.285 | − | 253.373i | −0.492542 | − | 0.853108i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −93.0247 | + | 161.123i | −0.311119 | + | 0.538874i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −288.771 | − | 44.4231i | −0.959371 | − | 0.147585i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 417.002 | + | 240.756i | 1.37624 | + | 0.794575i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −29.9986 | − | 51.9591i | −0.0983560 | − | 0.170358i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −400.893 | −1.30584 | −0.652921 | − | 0.757426i | \(-0.726457\pi\) | ||||
−0.652921 | + | 0.757426i | \(0.726457\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 601.542i | − | 1.94674i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −140.492 | + | 81.1132i | −0.451743 | + | 0.260814i | −0.708566 | − | 0.705644i | \(-0.750658\pi\) |
0.256823 | + | 0.966459i | \(0.417324\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 133.123 | − | 230.576i | 0.425313 | − | 0.736664i | −0.571137 | − | 0.820855i | \(-0.693497\pi\) |
0.996450 | + | 0.0841913i | \(0.0268307\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −273.451 | + | 106.364i | −0.868098 | + | 0.337662i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 374.864 | + | 216.428i | 1.18254 | + | 0.682737i | 0.956600 | − | 0.291405i | \(-0.0941228\pi\) |
0.225936 | + | 0.974142i | \(0.427456\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 42.9138 | − | 24.7763i | 0.134526 | − | 0.0776686i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −767.792 | −2.39187 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.49636 | 0.0170166 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 377.305 | − | 217.837i | 1.16094 | − | 0.670269i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 307.925 | + | 177.781i | 0.941668 | + | 0.543672i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −251.129 | − | 201.520i | −0.763310 | − | 0.612524i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 40.6264 | − | 70.3671i | 0.122738 | − | 0.212589i | −0.798108 | − | 0.602514i | \(-0.794166\pi\) |
0.920847 | + | 0.389925i | \(0.127499\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −215.420 | + | 124.373i | −0.646907 | + | 0.373492i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 169.299i | 0.505370i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −69.4941 | −0.206214 | −0.103107 | − | 0.994670i | \(-0.532878\pi\) | ||||
−0.103107 | + | 0.994670i | \(0.532878\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 19.1019 | + | 33.0855i | 0.0563479 | + | 0.0975974i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 157.149 | + | 90.7300i | 0.460848 | + | 0.266071i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −307.663 | − | 151.634i | −0.896975 | − | 0.442080i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 49.9686 | − | 86.5481i | 0.144836 | − | 0.250864i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −174.677 | − | 302.549i | −0.503391 | − | 0.871899i | −0.999992 | − | 0.00392020i | \(-0.998752\pi\) |
0.496601 | − | 0.867979i | \(-0.334581\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 165.836i | 0.475174i | 0.971366 | + | 0.237587i | \(0.0763566\pi\) | ||||
−0.971366 | + | 0.237587i | \(0.923643\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 1191.15i | − | 3.39358i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 235.858 | + | 408.519i | 0.668154 | + | 1.15728i | 0.978420 | + | 0.206627i | \(0.0662486\pi\) |
−0.310266 | + | 0.950650i | \(0.600418\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 80.3566 | − | 139.182i | 0.226356 | − | 0.392061i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −21.6522 | + | 26.9823i | −0.0606504 | + | 0.0755808i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −568.967 | − | 328.493i | −1.58487 | − | 0.915022i | −0.994134 | − | 0.108154i | \(-0.965506\pi\) |
−0.590731 | − | 0.806869i | \(-0.701161\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 162.917 | + | 282.180i | 0.451294 | + | 0.781663i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 497.722 | 1.37113 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 72.4817i | 0.198580i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 307.850 | − | 177.737i | 0.838829 | − | 0.484298i | −0.0180371 | − | 0.999837i | \(-0.505742\pi\) |
0.856866 | + | 0.515539i | \(0.172408\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −419.109 | + | 725.918i | −1.13580 | + | 1.96726i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 485.908 | − | 189.003i | 1.30973 | − | 0.509441i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −273.662 | − | 157.999i | −0.733680 | − | 0.423590i | 0.0860872 | − | 0.996288i | \(-0.472564\pi\) |
−0.819767 | + | 0.572698i | \(0.805897\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −451.682 | + | 260.779i | −1.20449 | + | 0.695410i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 201.745 | 0.535132 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 178.404 | 0.470723 | 0.235361 | − | 0.971908i | \(-0.424373\pi\) | ||||
0.235361 | + | 0.971908i | \(0.424373\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −607.211 | + | 350.574i | −1.59373 | + | 0.920140i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 604.832 | + | 349.200i | 1.57920 | + | 0.911750i | 0.994972 | + | 0.100158i | \(0.0319349\pi\) |
0.584225 | + | 0.811591i | \(0.301398\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −12.0733 | + | 78.4816i | −0.0313591 | + | 0.203848i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −405.548 | + | 702.430i | −1.04793 | + | 1.81506i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −151.865 | + | 87.6790i | −0.390397 | + | 0.225396i | −0.682332 | − | 0.731042i | \(-0.739034\pi\) |
0.291935 | + | 0.956438i | \(0.405701\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 8.05366i | − | 0.0205976i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −46.7170 | −0.118873 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 32.5824 | + | 56.4344i | 0.0824871 | + | 0.142872i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 334.033 | + | 192.854i | 0.841393 | + | 0.485778i | 0.857737 | − | 0.514088i | \(-0.171870\pi\) |
−0.0163447 | + | 0.999866i | \(0.505203\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 218.772 | + | 33.6549i | 0.548301 | + | 0.0843481i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −263.548 | + | 456.479i | −0.657228 | + | 1.13835i | 0.324103 | + | 0.946022i | \(0.394938\pi\) |
−0.981330 | + | 0.192330i | \(0.938396\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 369.392 | + | 639.805i | 0.916605 | + | 1.58761i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 262.590i | 0.648371i | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 67.3178i | 0.165400i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 211.872 | + | 366.973i | 0.518025 | + | 0.897245i | 0.999781 | + | 0.0209399i | \(0.00666585\pi\) |
−0.481756 | + | 0.876305i | \(0.660001\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −631.447 | + | 1093.70i | −1.53637 | + | 2.66107i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −136.200 | − | 350.158i | −0.329782 | − | 0.847840i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −136.225 | − | 78.6498i | −0.328254 | − | 0.189517i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −458.898 | − | 794.834i | −1.10047 | − | 1.90608i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −295.598 | −0.705485 | −0.352742 | − | 0.935721i | \(-0.614751\pi\) | ||||
−0.352742 | + | 0.935721i | \(0.614751\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 126.260i | − | 0.299904i | −0.988693 | − | 0.149952i | \(-0.952088\pi\) | ||
0.988693 | − | 0.149952i | \(-0.0479119\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −774.124 | + | 446.941i | −1.83008 | + | 1.05660i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −9.42970 | + | 16.3327i | −0.0221875 | + | 0.0384299i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −151.862 | − | 121.863i | −0.355649 | − | 0.285393i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −519.999 | − | 300.221i | −1.21212 | − | 0.699817i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −220.198 | + | 127.131i | −0.510900 | + | 0.294968i | −0.733204 | − | 0.680009i | \(-0.761976\pi\) |
0.222303 | + | 0.974978i | \(0.428642\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 546.301 | 1.26167 | 0.630833 | − | 0.775919i | \(-0.282713\pi\) | ||||
0.630833 | + | 0.775919i | \(0.282713\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −108.368 | −0.249122 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −44.6244 | + | 25.7639i | −0.102115 | + | 0.0589563i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 236.715 | + | 136.667i | 0.539214 | + | 0.311315i | 0.744760 | − | 0.667332i | \(-0.232564\pi\) |
−0.205546 | + | 0.978647i | \(0.565897\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −701.946 | + | 643.415i | −1.59171 | + | 1.45899i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 237.385 | − | 411.163i | 0.535858 | − | 0.928133i | −0.463263 | − | 0.886221i | \(-0.653322\pi\) |
0.999121 | − | 0.0419124i | \(-0.0133450\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −102.438 | + | 59.1427i | −0.230198 | + | 0.132905i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 1230.19i | − | 2.75210i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 782.101 | 1.74187 | 0.870936 | − | 0.491396i | \(-0.163513\pi\) | ||||
0.870936 | + | 0.491396i | \(0.163513\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 113.423 | + | 196.454i | 0.251492 | + | 0.435597i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 682.938 | + | 394.294i | 1.50759 | + | 0.870407i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −202.331 | + | 252.139i | −0.444683 | + | 0.554152i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 94.7793 | − | 164.163i | 0.207395 | − | 0.359218i | −0.743498 | − | 0.668738i | \(-0.766835\pi\) |
0.950893 | + | 0.309520i | \(0.100168\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 25.7811 | + | 44.6541i | 0.0561679 | + | 0.0972857i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 202.533i | − | 0.439335i | −0.975575 | − | 0.219667i | \(-0.929503\pi\) | ||
0.975575 | − | 0.219667i | \(-0.0704972\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 652.927i | 1.41021i | 0.709103 | + | 0.705105i | \(0.249100\pi\) | ||||
−0.709103 | + | 0.705105i | \(0.750900\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −198.420 | − | 343.674i | −0.426710 | − | 0.739084i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 272.725 | − | 472.373i | 0.583993 | − | 1.01150i | −0.411008 | − | 0.911632i | \(-0.634823\pi\) |
0.995000 | − | 0.0998730i | \(-0.0318437\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 199.176 | + | 512.062i | 0.424682 | + | 1.09182i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 530.266 | + | 306.149i | 1.12583 | + | 0.649998i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 109.753 | + | 190.098i | 0.232036 | + | 0.401898i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 120.663 | 0.254028 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 1447.40i | − | 3.03438i | ||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 94.3079 | − | 54.4487i | 0.196885 | − | 0.113672i | −0.398317 | − | 0.917248i | \(-0.630405\pi\) |
0.595202 | + | 0.803576i | \(0.297072\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −137.036 | + | 237.354i | −0.284899 | + | 0.493459i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 49.3135 | − | 320.560i | 0.102098 | − | 0.663686i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 100.333 | + | 57.9272i | 0.206872 | + | 0.119437i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −371.831 | + | 214.677i | −0.763513 | + | 0.440814i | −0.830556 | − | 0.556936i | \(-0.811977\pi\) |
0.0670428 | + | 0.997750i | \(0.478644\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 262.929 | 0.537686 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −453.887 | −0.924413 | −0.462206 | − | 0.886772i | \(-0.652942\pi\) | ||||
−0.462206 | + | 0.886772i | \(0.652942\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.56306 | + | 4.36654i | −0.0153409 | + | 0.00885707i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 190.905 | + | 110.219i | 0.385667 | + | 0.222665i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 79.3031 | − | 515.506i | 0.159564 | − | 1.03724i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 166.698 | − | 288.730i | 0.334064 | − | 0.578617i | −0.649240 | − | 0.760583i | \(-0.724913\pi\) |
0.983305 | + | 0.181967i | \(0.0582463\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1115.02 | − | 643.755i | 2.22558 | − | 1.28494i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 580.170i | − | 1.15342i | −0.816949 | − | 0.576710i | \(-0.804336\pi\) | ||
0.816949 | − | 0.576710i | \(-0.195664\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −194.775 | −0.385693 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −771.724 | − | 1336.67i | −1.52214 | − | 2.63642i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −266.271 | − | 153.732i | −0.523126 | − | 0.302027i | 0.215087 | − | 0.976595i | \(-0.430997\pi\) |
−0.738213 | + | 0.674568i | \(0.764330\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 85.2728 | + | 219.228i | 0.166874 | + | 0.429018i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 164.949 | − | 285.700i | 0.321538 | − | 0.556919i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 121.664 | + | 210.728i | 0.236241 | + | 0.409181i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 241.910i | 0.467911i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 290.187i | − | 0.559127i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −360.480 | − | 624.369i | −0.691899 | − | 1.19840i | −0.971215 | − | 0.238205i | \(-0.923441\pi\) |
0.279316 | − | 0.960199i | \(-0.409892\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −134.988 | + | 233.807i | −0.258104 | + | 0.447049i | −0.965734 | − | 0.259534i | \(-0.916431\pi\) |
0.707630 | + | 0.706583i | \(0.249764\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −475.338 | + | 592.353i | −0.905405 | + | 1.12829i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −27.6957 | − | 15.9901i | −0.0525536 | − | 0.0303418i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −226.749 | − | 392.741i | −0.428637 | − | 0.742421i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1043.03 | −1.96428 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 923.564i | 1.73277i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 268.967 | − | 155.288i | 0.502743 | − | 0.290259i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 338.652 | − | 586.562i | 0.630636 | − | 1.09229i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 55.8147 | + | 251.579i | 0.103552 | + | 0.466752i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −785.695 | − | 453.621i | −1.45230 | − | 0.838486i | −0.453689 | − | 0.891160i | \(-0.649892\pi\) |
−0.998612 | + | 0.0526734i | \(0.983226\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 982.241 | − | 567.097i | 1.80891 | − | 1.04438i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −143.827 | −0.263903 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 557.327 | 1.01888 | 0.509439 | − | 0.860506i | \(-0.329853\pi\) | ||||
0.509439 | + | 0.860506i | \(0.329853\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −468.127 | + | 270.273i | −0.852690 | + | 0.492301i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 48.3889 | + | 27.9374i | 0.0878202 | + | 0.0507030i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 164.942 | + | 132.359i | 0.298268 | + | 0.239347i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 73.6096 | − | 127.496i | 0.132630 | − | 0.229722i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 741.896 | − | 428.334i | 1.33195 | − | 0.769002i | 0.346352 | − | 0.938105i | \(-0.387420\pi\) |
0.985598 | + | 0.169103i | \(0.0540869\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 893.680i | 1.59871i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 25.9918 | 0.0463313 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 6.84436 | + | 11.8548i | 0.0121569 | + | 0.0210564i | 0.872040 | − | 0.489435i | \(-0.162797\pi\) |
−0.859883 | + | 0.510491i | \(0.829464\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −13.3833 | − | 7.72686i | −0.0236873 | − | 0.0136759i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 308.930 | + | 794.231i | 0.544851 | + | 1.40076i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 545.991 | − | 945.684i | 0.959563 | − | 1.66201i | 0.235999 | − | 0.971753i | \(-0.424164\pi\) |
0.723563 | − | 0.690258i | \(-0.242503\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 359.549 | + | 622.757i | 0.629683 | + | 1.09064i | 0.987615 | + | 0.156895i | \(0.0501485\pi\) |
−0.357932 | + | 0.933747i | \(0.616518\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 216.142i | 0.377210i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 176.805i | − | 0.307486i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 515.560 | + | 892.976i | 0.893518 | + | 1.54762i | 0.835628 | + | 0.549296i | \(0.185104\pi\) |
0.0578905 | + | 0.998323i | \(0.481563\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 752.665 | − | 1303.65i | 1.29994 | − | 2.25156i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −504.557 | − | 77.6187i | −0.868428 | − | 0.133595i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −339.229 | − | 195.854i | −0.581868 | − | 0.335942i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 448.738 | + | 777.238i | 0.767074 | + | 1.32861i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 671.907 | 1.14464 | 0.572322 | − | 0.820029i | \(-0.306043\pi\) | ||||
0.572322 | + | 0.820029i | \(0.306043\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 204.612i | 0.347388i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1208.99 | + | 698.008i | −2.04566 | + | 1.18106i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −176.999 | + | 306.572i | −0.298481 | + | 0.516984i | −0.975789 | − | 0.218716i | \(-0.929813\pi\) |
0.677308 | + | 0.735700i | \(0.263147\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.12777 | − | 13.8315i | 0.00357609 | − | 0.0232462i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1487.53 | + | 858.824i | 2.49167 | + | 1.43857i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 983.923 | − | 568.068i | 1.64261 | − | 0.948361i | 0.662708 | − | 0.748878i | \(-0.269407\pi\) |
0.979901 | − | 0.199484i | \(-0.0639265\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.80783 | −0.0113275 | −0.00566375 | − | 0.999984i | \(-0.501803\pi\) | ||||
−0.00566375 | + | 0.999984i | \(0.501803\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1525.30 | 2.52953 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −174.358 | + | 100.666i | −0.288196 | + | 0.166390i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −386.628 | − | 223.220i | −0.636948 | − | 0.367742i | 0.146490 | − | 0.989212i | \(-0.453202\pi\) |
−0.783438 | + | 0.621470i | \(0.786536\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −327.770 | + | 127.492i | −0.538210 | + | 0.209346i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −492.447 | + | 852.944i | −0.805970 | + | 1.39598i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 555.650 | − | 320.805i | 0.906443 | − | 0.523335i | 0.0271583 | − | 0.999631i | \(-0.491354\pi\) |
0.879285 | + | 0.476296i | \(0.158021\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | − | 496.096i | − | 0.806661i | ||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −502.890 | −0.815057 | −0.407528 | − | 0.913193i | \(-0.633609\pi\) | ||||
−0.407528 | + | 0.913193i | \(0.633609\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 216.495 | + | 374.980i | 0.349749 | + | 0.605783i | 0.986205 | − | 0.165530i | \(-0.0529336\pi\) |
−0.636456 | + | 0.771313i | \(0.719600\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −418.627 | − | 241.695i | −0.674118 | − | 0.389202i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −240.255 | + | 299.399i | −0.385642 | + | 0.480576i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −148.859 | + | 257.831i | −0.238174 | + | 0.412530i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −83.1486 | − | 144.018i | −0.132613 | − | 0.229693i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 11.8640i | − | 0.0188617i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 238.957i | − | 0.378695i | −0.981910 | − | 0.189348i | \(-0.939363\pi\) | ||
0.981910 | − | 0.189348i | \(-0.0606373\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −452.687 | − | 784.078i | −0.715146 | − | 1.23867i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 141.809 | − | 245.621i | 0.223322 | − | 0.386805i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −315.336 | + | 1000.66i | −0.495032 | + | 1.57089i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1253.96 | − | 723.974i | −1.96238 | − | 1.13298i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.98065 | + | 6.89469i | 0.00621006 | + | 0.0107561i | 0.869114 | − | 0.494612i | \(-0.164690\pi\) |
−0.862904 | + | 0.505368i | \(0.831357\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 584.919 | 0.909672 | 0.454836 | − | 0.890575i | \(-0.349698\pi\) | ||||
0.454836 | + | 0.890575i | \(0.349698\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 480.044i | − | 0.744255i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 290.707 | − | 167.840i | 0.449316 | − | 0.259413i | −0.258225 | − | 0.966085i | \(-0.583138\pi\) |
0.707541 | + | 0.706672i | \(0.249804\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −141.137 | + | 244.457i | −0.217469 | + | 0.376667i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1004.46 | − | 806.040i | −1.54296 | − | 1.23816i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 42.0252 | + | 24.2632i | 0.0643571 | + | 0.0371566i | 0.531833 | − | 0.846849i | \(-0.321503\pi\) |
−0.467476 | + | 0.884006i | \(0.654837\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 16.3656 | − | 9.44866i | 0.0249856 | − | 0.0144254i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 653.026 | 0.993951 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1224.65 | −1.85835 | −0.929176 | − | 0.369638i | \(-0.879482\pi\) | ||||
−0.929176 | + | 0.369638i | \(0.879482\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 725.765 | − | 419.021i | 1.09798 | − | 0.633919i | 0.162291 | − | 0.986743i | \(-0.448112\pi\) |
0.935690 | + | 0.352823i | \(0.114778\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 91.6439 | + | 52.9106i | 0.138226 | + | 0.0798049i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −83.4455 | + | 32.4576i | −0.125482 | + | 0.0488084i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 40.9358 | − | 70.9029i | 0.0613730 | − | 0.106301i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −209.940 | + | 121.209i | −0.313812 | + | 0.181180i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 146.287i | 0.218014i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 147.714 | 0.219486 | 0.109743 | − | 0.993960i | \(-0.464997\pi\) | ||||
0.109743 | + | 0.993960i | \(0.464997\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 565.980 | + | 980.307i | 0.838490 | + | 1.45231i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −725.024 | − | 418.593i | −1.07094 | − | 0.618305i | −0.142499 | − | 0.989795i | \(-0.545514\pi\) |
−0.928437 | + | 0.371490i | \(0.878847\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 371.616 | + | 57.1678i | 0.547299 | + | 0.0841941i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −493.582 | + | 854.909i | −0.724790 | + | 1.25537i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −32.2189 | − | 55.8047i | −0.0471725 | − | 0.0817053i | 0.841475 | − | 0.540296i | \(-0.181688\pi\) |
−0.888648 | + | 0.458591i | \(0.848354\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 510.849i | − | 0.745765i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 986.210i | 1.43553i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −797.385 | − | 1381.11i | −1.15731 | − | 2.00452i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −263.374 | + | 456.177i | −0.381149 | + | 0.660169i | −0.991227 | − | 0.132172i | \(-0.957805\pi\) |
0.610078 | + | 0.792341i | \(0.291138\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 707.082 | + | 108.774i | 1.02032 | + | 0.156961i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 321.516 | + | 185.627i | 0.462613 | + | 0.267090i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.9895 | − | 34.6229i | −0.0286794 | − | 0.0496741i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −515.633 | −0.737672 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 695.486i | 0.992134i | 0.868284 | + | 0.496067i | \(0.165223\pi\) | ||||
−0.868284 | + | 0.496067i | \(0.834777\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −65.7370 | + | 37.9532i | −0.0935092 | + | 0.0539875i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 264.520 | − | 458.162i | 0.375206 | − | 0.649876i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −589.117 | + | 229.147i | −0.833262 | + | 0.324112i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −803.161 | − | 463.705i | −1.13281 | − | 0.654027i | −0.188168 | − | 0.982137i | \(-0.560255\pi\) |
−0.944640 | + | 0.328110i | \(0.893588\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 508.447 | − | 293.552i | 0.715115 | − | 0.412872i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 299.812 | 0.420493 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 242.883 | 0.339697 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −753.566 | + | 435.071i | −1.05100 | + | 0.606794i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1150.37 | + | 664.169i | 1.59996 | + | 0.923739i | 0.991493 | + | 0.130163i | \(0.0415501\pi\) |
0.608471 | + | 0.793576i | \(0.291783\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 615.900 | + | 494.234i | 0.854231 | + | 0.685484i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 547.865 | − | 948.929i | 0.757766 | − | 1.31249i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −166.034 | + | 95.8600i | −0.229013 | + | 0.132221i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 539.401i | − | 0.741954i | −0.928642 | − | 0.370977i | \(-0.879023\pi\) | ||
0.928642 | − | 0.370977i | \(-0.120977\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −303.936 | −0.416922 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −19.3427 | − | 33.5026i | −0.0264606 | − | 0.0458311i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −382.859 | − | 221.044i | −0.522318 | − | 0.301561i | 0.215564 | − | 0.976490i | \(-0.430841\pi\) |
−0.737883 | + | 0.674929i | \(0.764174\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 169.384 | − | 537.507i | 0.230454 | − | 0.731302i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 206.396 | − | 357.488i | 0.280048 | − | 0.485058i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −574.116 | − | 994.398i | −0.776882 | − | 1.34560i | −0.933730 | − | 0.357977i | \(-0.883467\pi\) |
0.156848 | − | 0.987623i | \(-0.449867\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 677.050i | − | 0.913698i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 588.688i | − | 0.792313i | −0.918183 | − | 0.396156i | \(-0.870344\pi\) | ||
0.918183 | − | 0.396156i | \(-0.129656\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 248.810 | + | 430.952i | 0.333973 | + | 0.578459i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −708.597 | + | 1227.33i | −0.948590 | + | 1.64301i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 630.826 | − | 786.118i | 0.842225 | − | 1.04956i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −708.754 | − | 409.199i | −0.943747 | − | 0.544873i | −0.0526140 | − | 0.998615i | \(-0.516755\pi\) |
−0.891133 | + | 0.453742i | \(0.850089\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 424.712 | + | 735.622i | 0.564026 | + | 0.976922i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −318.989 | −0.422503 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 105.101i | − | 0.138838i | −0.997588 | − | 0.0694192i | \(-0.977885\pi\) | ||
0.997588 | − | 0.0694192i | \(-0.0221146\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −211.025 | + | 121.835i | −0.278030 | + | 0.160521i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −507.117 | + | 878.352i | −0.666382 | + | 1.15421i | 0.312527 | + | 0.949909i | \(0.398825\pi\) |
−0.978909 | + | 0.204299i | \(0.934509\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −435.019 | + | 169.209i | −0.570143 | + | 0.221767i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −33.6449 | − | 19.4249i | −0.0439803 | − | 0.0253920i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −995.264 | + | 574.616i | −1.29761 | + | 0.749173i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1183.99 | −1.53964 | −0.769822 | − | 0.638258i | \(-0.779655\pi\) | ||||
−0.769822 | + | 0.638258i | \(0.779655\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1150.58 | −1.49232 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −280.862 | + | 162.156i | −0.363340 | + | 0.209774i | −0.670545 | − | 0.741869i | \(-0.733940\pi\) |
0.307205 | + | 0.951643i | \(0.400606\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −608.014 | − | 351.037i | −0.784534 | − | 0.452951i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 72.6446 | − | 472.223i | 0.0934937 | − | 0.607751i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −127.894 | + | 221.519i | −0.164177 | + | 0.284363i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −339.358 | + | 195.928i | −0.434517 | + | 0.250869i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 524.168i | 0.669436i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −247.679 | −0.315514 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 134.268 | + | 232.559i | 0.170607 | + | 0.295500i | 0.938632 | − | 0.344919i | \(-0.112094\pi\) |
−0.768025 | + | 0.640420i | \(0.778760\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1520.01 | + | 877.576i | 1.92650 | + | 1.11226i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −49.5696 | − | 7.62556i | −0.0626670 | − | 0.00964040i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −297.792 | + | 515.791i | −0.375526 | + | 0.650429i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 428.319 | + | 741.870i | 0.538766 | + | 0.933170i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 1502.06i | − | 1.88465i | −0.334705 | − | 0.942323i | \(-0.608637\pi\) | ||
0.334705 | − | 0.942323i | \(-0.391363\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 42.6339i | − | 0.0533591i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 532.848 | + | 922.919i | 0.665228 | + | 1.15221i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 88.3638 | − | 153.051i | 0.110042 | − | 0.190599i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 47.5592 | + | 122.270i | 0.0590797 | + | 0.151888i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1353.34 | + | 781.354i | 1.67701 | + | 0.968220i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −35.3793 | − | 61.2788i | −0.0437322 | − | 0.0757464i | 0.843331 | − | 0.537395i | \(-0.180591\pi\) |
−0.887063 | + | 0.461648i | \(0.847258\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −5.94522 | −0.00733072 | −0.00366536 | − | 0.999993i | \(-0.501167\pi\) | ||||
−0.00366536 | + | 0.999993i | \(0.501167\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 143.172i | − | 0.176103i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −92.1073 | + | 53.1782i | −0.113015 | + | 0.0652493i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −123.756 | + | 214.351i | −0.151476 | + | 0.262364i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2271.65 | + | 1822.91i | 2.77369 | + | 2.22577i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 13.1159 | + | 7.57244i | 0.0159755 | + | 0.00922344i | 0.507966 | − | 0.861377i | \(-0.330397\pi\) |
−0.491991 | + | 0.870600i | \(0.663731\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1284.10 | + | 741.378i | −1.56027 | + | 0.900824i | −0.563044 | + | 0.826427i | \(0.690370\pi\) |
−0.997229 | + | 0.0743964i | \(0.976297\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 570.607 | 0.691645 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 74.3070 | 0.0898513 | 0.0449257 | − | 0.998990i | \(-0.485695\pi\) | ||||
0.0449257 | + | 0.998990i | \(0.485695\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −123.722 | + | 71.4311i | −0.149243 | + | 0.0861654i | −0.572762 | − | 0.819722i | \(-0.694128\pi\) |
0.423519 | + | 0.905887i | \(0.360795\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1545.96 | − | 892.558i | −1.86036 | − | 1.07408i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −9.83671 | − | 44.3380i | −0.0118088 | − | 0.0532269i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −260.403 | + | 451.032i | −0.311860 | + | 0.540158i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1662.33 | + | 959.745i | −1.98605 | + | 1.14665i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 16.7454i | 0.0199588i | 0.999950 | + | 0.00997940i | \(0.00317659\pi\) | ||||
−0.999950 | + | 0.00997940i | \(0.996823\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 752.222 | 0.894437 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −328.886 | − | 569.648i | −0.390138 | − | 0.675739i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 540.690 | + | 312.168i | 0.639870 | + | 0.369429i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −408.934 | + | 509.602i | −0.482803 | + | 0.601655i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.65008 | − | 2.85803i | 0.00194356 | − | 0.00336634i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 55.6118 | + | 96.3224i | 0.0653488 | + | 0.113187i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1299.38i | 1.52331i | 0.647984 | + | 0.761654i | \(0.275612\pi\) | ||||
−0.647984 | + | 0.761654i | \(0.724388\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 248.563i | 0.290717i | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 597.668 | + | 1035.19i | 0.697396 | + | 1.20792i | 0.969366 | + | 0.245619i | \(0.0789912\pi\) |
−0.271971 | + | 0.962305i | \(0.587675\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −170.885 | + | 295.981i | −0.198934 | + | 0.344564i | −0.948183 | − | 0.317724i | \(-0.897081\pi\) |
0.749249 | + | 0.662289i | \(0.230415\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −583.644 | − | 1500.49i | −0.677867 | − | 1.74273i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 844.362 | + | 487.493i | 0.978404 | + | 0.564882i | 0.901788 | − | 0.432179i | \(-0.142255\pi\) |
0.0766158 | + | 0.997061i | \(0.475589\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 58.6913 | + | 101.656i | 0.0678512 | + | 0.117522i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 1536.44 | 1.77213 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 158.887i | − | 0.182839i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1455.45 | − | 840.304i | 1.67101 | − | 0.964758i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 521.896 | − | 903.951i | 0.597819 | − | 1.03545i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 104.104 | − | 676.722i | 0.118976 | − | 0.773397i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 274.158 | + | 158.285i | 0.312609 | + | 0.180485i | 0.648093 | − | 0.761561i | \(-0.275567\pi\) |
−0.335484 | + | 0.942046i | \(0.608900\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 130.591 | − | 75.3966i | 0.148567 | − | 0.0857754i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −464.977 | −0.527783 | −0.263891 | − | 0.964552i | \(-0.585006\pi\) | ||||
−0.263891 | + | 0.964552i | \(0.585006\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −69.4594 | −0.0786630 | −0.0393315 | − | 0.999226i | \(-0.512523\pi\) | ||||
−0.0393315 | + | 0.999226i | \(0.512523\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 534.610 | − | 308.657i | 0.604079 | − | 0.348765i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −9.46740 | − | 5.46601i | −0.0106735 | − | 0.00616235i | 0.494654 | − | 0.869090i | \(-0.335295\pi\) |
−0.505327 | + | 0.862928i | \(0.668628\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 139.950 | − | 909.740i | 0.157424 | − | 1.02333i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 320.129 | − | 554.479i | 0.359292 | − | 0.622311i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −236.229 | + | 136.387i | −0.264535 | + | 0.152729i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 273.974i | 0.306116i | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −992.062 | −1.10598 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −162.552 | − | 281.548i | −0.180814 | − | 0.313179i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 59.7853 | + | 34.5170i | 0.0663543 | + | 0.0383097i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −564.759 | − | 1451.94i | −0.625425 | − | 1.60791i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −229.395 | + | 397.323i | −0.253475 | + | 0.439031i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −11.3588 | − | 19.6740i | −0.0125235 | − | 0.0216913i | 0.859696 | − | 0.510806i | \(-0.170653\pi\) |
−0.872219 | + | 0.489115i | \(0.837320\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 1754.83i | 1.93051i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 721.866i | − | 0.792389i | −0.918167 | − | 0.396194i | \(-0.870331\pi\) | ||
0.918167 | − | 0.396194i | \(-0.129669\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 191.767 | + | 332.150i | 0.210040 | + | 0.363800i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 159.960 | − | 277.059i | 0.174820 | − | 0.302797i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 38.3832 | − | 47.8320i | 0.0418573 | − | 0.0521614i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −113.209 | − | 65.3612i | −0.123187 | − | 0.0711221i | 0.437140 | − | 0.899393i | \(-0.355991\pi\) |
−0.560327 | + | 0.828271i | \(0.689325\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −1068.83 | − | 1851.27i | −1.16051 | − | 2.01007i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −1595.38 | −1.72847 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 260.454i | − | 0.281572i | ||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 1898.56 | − | 1096.13i | 2.04807 | − | 1.18245i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 227.643 | − | 394.289i | 0.245041 | − | 0.424423i | −0.717102 | − | 0.696968i | \(-0.754532\pi\) |
0.962143 | + | 0.272545i | \(0.0878654\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −214.204 | + | 196.343i | −0.230079 | + | 0.210894i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −749.140 | − | 432.516i | −0.802937 | − | 0.463576i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −9.10528 | + | 5.25694i | −0.00973827 | + | 0.00562239i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1242.79 | −1.32635 | −0.663176 | − | 0.748464i | \(-0.730792\pi\) | ||||
−0.663176 | + | 0.748464i | \(0.730792\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1419.69 | 1.51192 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 984.767 | − | 568.556i | 1.04651 | − | 0.604204i | 0.124841 | − | 0.992177i | \(-0.460158\pi\) |
0.921671 | + | 0.387973i | \(0.126825\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 324.585 | + | 187.399i | 0.344205 | + | 0.198727i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −655.102 | − | 525.692i | −0.693230 | − | 0.556288i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 352.421 | − | 610.411i | 0.372145 | − | 0.644573i | −0.617751 | − | 0.786374i | \(-0.711956\pi\) |
0.989895 | + | 0.141801i | \(0.0452892\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 623.119 | − | 359.758i | 0.656606 | − | 0.379092i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2308.09i | 2.42702i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 765.039 | 0.802769 | 0.401384 | − | 0.915910i | \(-0.368529\pi\) | ||||
0.401384 | + | 0.915910i | \(0.368529\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −43.7153 | − | 75.7172i | −0.0457752 | − | 0.0792850i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 228.827 | + | 132.113i | 0.239109 | + | 0.138050i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −601.000 | − | 1545.11i | −0.626694 | − | 1.61117i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 114.761 | − | 198.772i | 0.119418 | − | 0.206838i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −1399.07 | − | 2423.27i | −1.45283 | − | 2.51637i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 608.916i | 0.631001i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 771.494i | − | 0.797822i | −0.916990 | − | 0.398911i | \(-0.869388\pi\) | ||
0.916990 | − | 0.398911i | \(-0.130612\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 14.6540 | + | 25.3815i | 0.0151228 | + | 0.0261935i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 458.754 | − | 794.586i | 0.472456 | − | 0.818317i | −0.527047 | − | 0.849836i | \(-0.676701\pi\) |
0.999503 | + | 0.0315186i | \(0.0100343\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1190.84 | + | 183.194i | 1.22389 | + | 0.188277i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 2011.89 | + | 1161.56i | 2.06348 | + | 1.19135i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −133.301 | − | 230.883i | −0.136439 | − | 0.236319i | 0.789707 | − | 0.613484i | \(-0.210232\pi\) |
−0.926146 | + | 0.377165i | \(0.876899\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 288.408 | 0.294594 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1295.81i | 1.32091i | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −1601.95 | + | 924.884i | −1.62965 | + | 0.940879i | −0.645454 | + | 0.763799i | \(0.723332\pi\) |
−0.984197 | + | 0.177080i | \(0.943335\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 282.349 | − | 489.043i | 0.286649 | − | 0.496490i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 261.052 | − | 1696.96i | 0.264491 | − | 1.71931i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 314.083 | + | 181.336i | 0.317576 | + | 0.183353i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 303.420 | − | 175.180i | 0.306175 | − | 0.176770i | −0.339038 | − | 0.940773i | \(-0.610102\pi\) |
0.645214 | + | 0.764002i | \(0.276768\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 433.261 | 0.436315 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −694.800 | −0.698291 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 455.495 | − | 262.980i | 0.456866 | − | 0.263772i | −0.253860 | − | 0.967241i | \(-0.581700\pi\) |
0.710726 | + | 0.703469i | \(0.248367\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −616.687 | − | 356.045i | −0.617305 | − | 0.356401i |
(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 | 224.3.o.d.79.5 | 12 | ||
4.3 | odd | 2 | 56.3.k.d.51.6 | yes | 12 | ||
7.2 | even | 3 | 1568.3.g.j.687.2 | 6 | |||
7.4 | even | 3 | inner | 224.3.o.d.207.6 | 12 | ||
7.5 | odd | 6 | 1568.3.g.l.687.5 | 6 | |||
8.3 | odd | 2 | inner | 224.3.o.d.79.6 | 12 | ||
8.5 | even | 2 | 56.3.k.d.51.2 | yes | 12 | ||
28.3 | even | 6 | 392.3.k.l.67.2 | 12 | |||
28.11 | odd | 6 | 56.3.k.d.11.2 | ✓ | 12 | ||
28.19 | even | 6 | 392.3.g.i.99.3 | 6 | |||
28.23 | odd | 6 | 392.3.g.j.99.3 | 6 | |||
28.27 | even | 2 | 392.3.k.l.275.6 | 12 | |||
56.5 | odd | 6 | 392.3.g.i.99.4 | 6 | |||
56.11 | odd | 6 | inner | 224.3.o.d.207.5 | 12 | ||
56.13 | odd | 2 | 392.3.k.l.275.2 | 12 | |||
56.19 | even | 6 | 1568.3.g.l.687.6 | 6 | |||
56.37 | even | 6 | 392.3.g.j.99.4 | 6 | |||
56.45 | odd | 6 | 392.3.k.l.67.6 | 12 | |||
56.51 | odd | 6 | 1568.3.g.j.687.1 | 6 | |||
56.53 | even | 6 | 56.3.k.d.11.6 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
56.3.k.d.11.2 | ✓ | 12 | 28.11 | odd | 6 | ||
56.3.k.d.11.6 | yes | 12 | 56.53 | even | 6 | ||
56.3.k.d.51.2 | yes | 12 | 8.5 | even | 2 | ||
56.3.k.d.51.6 | yes | 12 | 4.3 | odd | 2 | ||
224.3.o.d.79.5 | 12 | 1.1 | even | 1 | trivial | ||
224.3.o.d.79.6 | 12 | 8.3 | odd | 2 | inner | ||
224.3.o.d.207.5 | 12 | 56.11 | odd | 6 | inner | ||
224.3.o.d.207.6 | 12 | 7.4 | even | 3 | inner | ||
392.3.g.i.99.3 | 6 | 28.19 | even | 6 | |||
392.3.g.i.99.4 | 6 | 56.5 | odd | 6 | |||
392.3.g.j.99.3 | 6 | 28.23 | odd | 6 | |||
392.3.g.j.99.4 | 6 | 56.37 | even | 6 | |||
392.3.k.l.67.2 | 12 | 28.3 | even | 6 | |||
392.3.k.l.67.6 | 12 | 56.45 | odd | 6 | |||
392.3.k.l.275.2 | 12 | 56.13 | odd | 2 | |||
392.3.k.l.275.6 | 12 | 28.27 | even | 2 | |||
1568.3.g.j.687.1 | 6 | 56.51 | odd | 6 | |||
1568.3.g.j.687.2 | 6 | 7.2 | even | 3 | |||
1568.3.g.l.687.5 | 6 | 7.5 | odd | 6 | |||
1568.3.g.l.687.6 | 6 | 56.19 | even | 6 |