Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(271,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.271");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.bb (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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 168) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 367.1 | ||
Character | \(\chi\) | \(=\) | 672.367 |
Dual form | 672.2.bb.a.271.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.08776 | − | 3.61611i | −0.933677 | − | 1.61718i | −0.776977 | − | 0.629529i | \(-0.783248\pi\) |
−0.156700 | − | 0.987646i | \(-0.550085\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.39694 | − | 1.12013i | −0.905958 | − | 0.423368i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.855485 | − | 1.48174i | 0.257939 | − | 0.446763i | −0.707751 | − | 0.706462i | \(-0.750290\pi\) |
0.965690 | + | 0.259699i | \(0.0836235\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.54062 | 0.427292 | 0.213646 | − | 0.976911i | \(-0.431466\pi\) | ||||
0.213646 | + | 0.976911i | \(0.431466\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 4.17553i | 1.07812i | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.02094 | + | 1.16679i | 0.490149 | + | 0.282988i | 0.724636 | − | 0.689132i | \(-0.242008\pi\) |
−0.234487 | + | 0.972119i | \(0.575341\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.09693 | + | 3.52006i | −1.39873 | + | 0.807558i | −0.994260 | − | 0.106992i | \(-0.965878\pi\) |
−0.404472 | + | 0.914551i | \(0.632545\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.51575 | + | 2.16853i | 0.330763 | + | 0.473212i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.406066 | + | 0.234442i | −0.0846705 | + | 0.0488846i | −0.541737 | − | 0.840548i | \(-0.682233\pi\) |
0.457067 | + | 0.889432i | \(0.348900\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −6.21752 | + | 10.7691i | −1.24350 | + | 2.15381i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.33885i | 0.620009i | 0.950735 | + | 0.310005i | \(0.100331\pi\) | ||||
−0.950735 | + | 0.310005i | \(0.899669\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.58126 | − | 2.73883i | 0.284003 | − | 0.491908i | −0.688364 | − | 0.725366i | \(-0.741671\pi\) |
0.972367 | + | 0.233458i | \(0.0750040\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.48174 | + | 0.855485i | −0.257939 | + | 0.148921i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.953738 | + | 11.0062i | 0.161211 | + | 1.86038i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.74648 | + | 4.47243i | −1.27351 | + | 0.735263i | −0.975647 | − | 0.219345i | \(-0.929608\pi\) |
−0.297865 | + | 0.954608i | \(0.596275\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.33422 | − | 0.770311i | −0.213646 | − | 0.123349i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 5.31411i | − | 0.829925i | −0.909838 | − | 0.414963i | \(-0.863795\pi\) | ||
0.909838 | − | 0.414963i | \(-0.136205\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.42772 | 0.522722 | 0.261361 | − | 0.965241i | \(-0.415829\pi\) | ||||
0.261361 | + | 0.965241i | \(0.415829\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.08776 | − | 3.61611i | 0.311226 | − | 0.539058i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.95047 | − | 5.11037i | −0.430371 | − | 0.745424i | 0.566534 | − | 0.824038i | \(-0.308284\pi\) |
−0.996905 | + | 0.0786139i | \(0.974951\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.49063 | + | 5.36975i | 0.641519 | + | 0.767107i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.16679 | − | 2.02094i | −0.163383 | − | 0.282988i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.35437 | + | 0.781947i | 0.186037 | + | 0.107409i | 0.590126 | − | 0.807311i | \(-0.299078\pi\) |
−0.404089 | + | 0.914720i | \(0.632411\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.14421 | −0.963325 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.04013 | 0.932488 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.26742 | + | 3.04114i | 0.685759 | + | 0.395923i | 0.802021 | − | 0.597295i | \(-0.203758\pi\) |
−0.116262 | + | 0.993219i | \(0.537091\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.55959 | − | 7.89744i | −0.583795 | − | 1.01116i | −0.995024 | − | 0.0996311i | \(-0.968234\pi\) |
0.411229 | − | 0.911532i | \(-0.365100\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.228411 | − | 2.63587i | −0.0287771 | − | 0.332089i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.21646 | − | 5.57107i | −0.398952 | − | 0.691006i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.73658 | + | 6.47195i | −0.456496 | + | 0.790675i | −0.998773 | − | 0.0495251i | \(-0.984229\pi\) |
0.542276 | + | 0.840200i | \(0.317563\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.468884 | 0.0564470 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.49263i | 0.414499i | 0.978288 | + | 0.207249i | \(0.0664512\pi\) | ||||
−0.978288 | + | 0.207249i | \(0.933549\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.5811 | − | 7.26372i | −1.47251 | − | 0.850154i | −0.472988 | − | 0.881069i | \(-0.656824\pi\) |
−0.999522 | + | 0.0309152i | \(0.990158\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 10.7691 | − | 6.21752i | 1.24350 | − | 0.717937i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.71029 | + | 2.59340i | −0.422826 | + | 0.295545i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.46108 | + | 0.843557i | −0.164385 | + | 0.0949075i | −0.579935 | − | 0.814662i | \(-0.696922\pi\) |
0.415551 | + | 0.909570i | \(0.363589\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 2.72601i | − | 0.299219i | −0.988745 | − | 0.149609i | \(-0.952198\pi\) | ||
0.988745 | − | 0.149609i | \(-0.0478016\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 9.74391i | − | 1.05688i | ||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.66943 | − | 2.89153i | 0.178981 | − | 0.310005i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.83829 | − | 1.06134i | 0.194858 | − | 0.112501i | −0.399397 | − | 0.916778i | \(-0.630780\pi\) |
0.594255 | + | 0.804277i | \(0.297447\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.69278 | − | 1.72569i | −0.387108 | − | 0.180902i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.73883 | + | 1.58126i | −0.284003 | + | 0.163969i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 25.4579 | + | 14.6981i | 2.61193 | + | 1.50800i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 1.95202i | − | 0.198198i | −0.995078 | − | 0.0990990i | \(-0.968404\pi\) | ||
0.995078 | − | 0.0990990i | \(-0.0315960\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.71097 | 0.171959 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.89045 | + | 11.9346i | −0.685625 | + | 1.18754i | 0.287615 | + | 0.957746i | \(0.407138\pi\) |
−0.973240 | + | 0.229792i | \(0.926196\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.84129 | − | 6.65331i | −0.378494 | − | 0.655570i | 0.612350 | − | 0.790587i | \(-0.290224\pi\) |
−0.990843 | + | 0.135017i | \(0.956891\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 4.67712 | − | 10.0085i | 0.456440 | − | 0.976728i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.20414 | − | 12.4779i | −0.696450 | − | 1.20629i | −0.969689 | − | 0.244341i | \(-0.921428\pi\) |
0.273239 | − | 0.961946i | \(-0.411905\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.92380 | + | 1.68806i | 0.280050 | + | 0.161687i | 0.633446 | − | 0.773787i | \(-0.281640\pi\) |
−0.353396 | + | 0.935474i | \(0.614973\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.94486 | 0.849009 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −10.7090 | −1.00742 | −0.503710 | − | 0.863873i | \(-0.668032\pi\) | ||||
−0.503710 | + | 0.863873i | \(0.668032\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.69554 | + | 0.978920i | 0.158110 | + | 0.0912847i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.770311 | + | 1.33422i | 0.0712153 | + | 0.123349i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.53711 | − | 5.06042i | −0.324246 | − | 0.463888i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.03629 | + | 6.99106i | 0.366935 | + | 0.635551i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.65706 | + | 4.60216i | −0.239579 | + | 0.414963i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 31.0452 | 2.77677 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.49738i | 0.842757i | 0.906885 | + | 0.421378i | \(0.138454\pi\) | ||||
−0.906885 | + | 0.421378i | \(0.861546\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.96849 | − | 1.71386i | −0.261361 | − | 0.150897i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 11.8364 | − | 6.83375i | 1.03415 | − | 0.597068i | 0.115981 | − | 0.993251i | \(-0.462999\pi\) |
0.918171 | + | 0.396184i | \(0.129666\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 18.5569 | − | 1.60805i | 1.60909 | − | 0.139435i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −3.61611 | + | 2.08776i | −0.311226 | + | 0.179686i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.99460 | − | 10.3829i | 0.512153 | − | 0.887075i | −0.487748 | − | 0.872985i | \(-0.662181\pi\) |
0.999901 | − | 0.0140902i | \(-0.00448520\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.64909i | 0.563968i | 0.959419 | + | 0.281984i | \(0.0909925\pi\) | ||||
−0.959419 | + | 0.281984i | \(0.909007\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.90095i | 0.496950i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.31798 | − | 2.28281i | 0.110215 | − | 0.190898i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 12.0737 | − | 6.97073i | 1.00266 | − | 0.578888i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.20413 | − | 6.89566i | −0.0993147 | − | 0.568744i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.03123 | + | 4.05948i | −0.576021 | + | 0.332566i | −0.759550 | − | 0.650448i | \(-0.774581\pi\) |
0.183530 | + | 0.983014i | \(0.441248\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.07044 | − | 0.618020i | −0.0871113 | − | 0.0502937i | 0.455812 | − | 0.890076i | \(-0.349349\pi\) |
−0.542923 | + | 0.839783i | \(0.682682\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.33358i | 0.188658i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −13.2052 | −1.06067 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.80286 | − | 8.31880i | 0.383310 | − | 0.663913i | −0.608223 | − | 0.793766i | \(-0.708117\pi\) |
0.991533 | + | 0.129854i | \(0.0414507\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.781947 | − | 1.35437i | −0.0620124 | − | 0.107409i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.23592 | − | 0.107099i | 0.0974041 | − | 0.00844055i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −9.70461 | − | 16.8089i | −0.760123 | − | 1.31657i | −0.942787 | − | 0.333397i | \(-0.891805\pi\) |
0.182663 | − | 0.983176i | \(-0.441528\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.18706 | + | 3.57210i | 0.481662 | + | 0.278088i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −17.7482 | −1.37340 | −0.686699 | − | 0.726942i | \(-0.740941\pi\) | ||||
−0.686699 | + | 0.726942i | \(0.740941\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.6265 | −0.817422 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −6.09693 | − | 3.52006i | −0.466244 | − | 0.269186i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.57075 | − | 6.18472i | −0.271479 | − | 0.470216i | 0.697762 | − | 0.716330i | \(-0.254179\pi\) |
−0.969241 | + | 0.246114i | \(0.920846\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 26.9657 | − | 18.8484i | 2.03842 | − | 1.42480i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −3.04114 | − | 5.26742i | −0.228586 | − | 0.395923i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 11.9581 | − | 20.7121i | 0.893791 | − | 1.54809i | 0.0584980 | − | 0.998288i | \(-0.481369\pi\) |
0.835293 | − | 0.549805i | \(-0.185298\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −20.5572 | −1.52800 | −0.764002 | − | 0.645214i | \(-0.776768\pi\) | ||||
−0.764002 | + | 0.645214i | \(0.776768\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 9.11917i | 0.674109i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 32.3456 | + | 18.6748i | 2.37810 | + | 1.37300i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.45776 | − | 1.99634i | 0.252857 | − | 0.145987i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.12013 | + | 2.39694i | −0.0814772 | + | 0.174352i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.74523 | + | 1.00761i | −0.126280 | + | 0.0729079i | −0.561809 | − | 0.827267i | \(-0.689895\pi\) |
0.435529 | + | 0.900175i | \(0.356561\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.78535 | − | 3.09232i | 0.128512 | − | 0.222590i | −0.794588 | − | 0.607149i | \(-0.792313\pi\) |
0.923100 | + | 0.384559i | \(0.125646\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 6.43291i | 0.460671i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 17.5393i | − | 1.24962i | −0.780775 | − | 0.624812i | \(-0.785176\pi\) | ||
0.780775 | − | 0.624812i | \(-0.214824\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.85336 | + | 15.3345i | −0.627598 | + | 1.08703i | 0.360434 | + | 0.932785i | \(0.382629\pi\) |
−0.988032 | + | 0.154247i | \(0.950705\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.47195 | − | 3.73658i | 0.456496 | − | 0.263558i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.73994 | − | 8.00302i | 0.262492 | − | 0.561702i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −19.2164 | + | 11.0946i | −1.34213 | + | 0.774882i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.406066 | − | 0.234442i | −0.0282235 | − | 0.0162949i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.0455i | 0.833201i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.23050 | 0.291240 | 0.145620 | − | 0.989341i | \(-0.453482\pi\) | ||||
0.145620 | + | 0.989341i | \(0.453482\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.74631 | − | 3.02471i | 0.119656 | − | 0.207249i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −7.15626 | − | 12.3950i | −0.488053 | − | 0.845333i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.85803 | + | 4.79359i | −0.465553 | + | 0.325410i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 7.26372 | + | 12.5811i | 0.490837 | + | 0.850154i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.11350 | + | 1.79758i | 0.209437 | + | 0.120918i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.43532 | −0.0961162 | −0.0480581 | − | 0.998845i | \(-0.515303\pi\) | ||||
−0.0480581 | + | 0.998845i | \(0.515303\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −12.4350 | −0.829003 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −13.8688 | − | 8.00718i | −0.920508 | − | 0.531455i | −0.0367106 | − | 0.999326i | \(-0.511688\pi\) |
−0.883797 | + | 0.467871i | \(0.845021\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.12499 | + | 14.0729i | 0.536914 | + | 0.929963i | 0.999068 | + | 0.0431631i | \(0.0137435\pi\) |
−0.462154 | + | 0.886800i | \(0.652923\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.50990 | − | 0.390805i | 0.296730 | − | 0.0257131i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −5.93054 | − | 10.2720i | −0.388522 | − | 0.672941i | 0.603729 | − | 0.797190i | \(-0.293681\pi\) |
−0.992251 | + | 0.124249i | \(0.960348\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.3198 | + | 21.3385i | −0.803654 | + | 1.39197i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.68711 | 0.109590 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0.846585i | 0.0547610i | 0.999625 | + | 0.0273805i | \(0.00871657\pi\) | ||||
−0.999625 | + | 0.0273805i | \(0.991283\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.761425 | − | 0.439609i | −0.0490477 | − | 0.0283177i | 0.475276 | − | 0.879837i | \(-0.342348\pi\) |
−0.524323 | + | 0.851519i | \(0.675682\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 10.0422 | − | 27.4494i | 0.641575 | − | 1.75368i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.39307 | + | 5.42309i | −0.597667 | + | 0.345063i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.36301 | + | 2.36080i | −0.0863771 | + | 0.149609i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 18.1441i | 1.14524i | 0.819820 | + | 0.572622i | \(0.194074\pi\) | ||||
−0.819820 | + | 0.572622i | \(0.805926\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.802247i | 0.0504368i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.87196 | + | 8.43848i | −0.305094 | + | 0.528438i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 15.8902 | − | 9.17421i | 0.991203 | − | 0.572271i | 0.0855695 | − | 0.996332i | \(-0.472729\pi\) |
0.905634 | + | 0.424061i | \(0.139396\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 23.5775 | − | 2.04311i | 1.46504 | − | 0.126953i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.89153 | + | 1.66943i | −0.178981 | + | 0.103335i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −3.02044 | − | 1.74385i | −0.186248 | − | 0.107531i | 0.403977 | − | 0.914769i | \(-0.367628\pi\) |
−0.590225 | + | 0.807239i | \(0.700961\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 6.53008i | − | 0.401140i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.12267 | −0.129905 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −7.35605 | + | 12.7410i | −0.448506 | + | 0.776835i | −0.998289 | − | 0.0584722i | \(-0.981377\pi\) |
0.549783 | + | 0.835308i | \(0.314710\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.95139 | + | 17.2363i | 0.604504 | + | 1.04703i | 0.992130 | + | 0.125215i | \(0.0399619\pi\) |
−0.387626 | + | 0.921817i | \(0.626705\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.33519 | + | 3.34088i | 0.141332 | + | 0.202199i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 10.6380 | + | 18.4255i | 0.641495 | + | 1.11110i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 22.9034 | + | 13.2233i | 1.37613 | + | 0.794510i | 0.991691 | − | 0.128640i | \(-0.0410613\pi\) |
0.384440 | + | 0.923150i | \(0.374395\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.16253 | 0.189336 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −20.2837 | −1.21003 | −0.605013 | − | 0.796216i | \(-0.706832\pi\) | ||||
−0.605013 | + | 0.796216i | \(0.706832\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.70426 | − | 3.29336i | −0.339083 | − | 0.195770i | 0.320783 | − | 0.947153i | \(-0.396054\pi\) |
−0.659866 | + | 0.751383i | \(0.729387\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −14.6981 | − | 25.4579i | −0.870642 | − | 1.50800i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.95248 | + | 12.7376i | −0.351364 | + | 0.751877i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.77721 | − | 10.0064i | −0.339836 | − | 0.588613i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.976012 | + | 1.69050i | −0.0572148 | + | 0.0990990i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −12.9438 | −0.756187 | −0.378094 | − | 0.925767i | \(-0.623420\pi\) | ||||
−0.378094 | + | 0.925767i | \(0.623420\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 25.3968i | − | 1.47866i | ||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.48174 | − | 0.855485i | −0.0859795 | − | 0.0496403i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.625594 | + | 0.361187i | −0.0361790 | + | 0.0208880i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.21603 | − | 3.83948i | −0.473564 | − | 0.221304i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 11.9346 | − | 6.89045i | 0.685625 | − | 0.395846i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −19.0387 | + | 32.9760i | −1.09015 | + | 1.88820i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.8773i | 0.677871i | 0.940810 | + | 0.338936i | \(0.110067\pi\) | ||||
−0.940810 | + | 0.338936i | \(0.889933\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 7.68258i | 0.437047i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.91849 | − | 10.2511i | 0.335607 | − | 0.581288i | −0.647994 | − | 0.761645i | \(-0.724392\pi\) |
0.983601 | + | 0.180357i | \(0.0577253\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.8383 | + | 7.41217i | −0.725661 | + | 0.418961i | −0.816833 | − | 0.576875i | \(-0.804272\pi\) |
0.0911716 | + | 0.995835i | \(0.470939\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −9.05475 | + | 6.32904i | −0.510177 | + | 0.356601i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 5.87478 | − | 3.39181i | 0.329961 | − | 0.190503i | −0.325863 | − | 0.945417i | \(-0.605655\pi\) |
0.655824 | + | 0.754914i | \(0.272322\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.94732 | + | 2.85634i | 0.276997 | + | 0.159924i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 14.4083i | 0.804191i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −16.4287 | −0.914116 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.57885 | + | 16.5911i | −0.531339 | + | 0.920306i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.68806 | − | 2.92380i | −0.0933499 | − | 0.161687i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.34784 | + | 15.5542i | 0.0743090 | + | 0.857528i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.37285 | − | 4.10989i | −0.130424 | − | 0.225900i | 0.793416 | − | 0.608679i | \(-0.208300\pi\) |
−0.923840 | + | 0.382779i | \(0.874967\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −7.74648 | − | 4.47243i | −0.424504 | − | 0.245088i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 31.2044 | 1.70488 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.5173 | 0.899754 | 0.449877 | − | 0.893090i | \(-0.351468\pi\) | ||||
0.449877 | + | 0.893090i | \(0.351468\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 9.27429 | + | 5.35451i | 0.503710 | + | 0.290817i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.70549 | − | 4.68605i | −0.146511 | − | 0.253764i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.74897 | − | 17.9010i | −0.256420 | − | 0.966565i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.978920 | − | 1.69554i | −0.0527033 | − | 0.0912847i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −9.54986 | + | 16.5408i | −0.512663 | + | 0.887959i | 0.487229 | + | 0.873274i | \(0.338008\pi\) |
−0.999892 | + | 0.0146846i | \(0.995326\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.49767 | 0.133697 | 0.0668485 | − | 0.997763i | \(-0.478706\pi\) | ||||
0.0668485 | + | 0.997763i | \(0.478706\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 1.54062i | − | 0.0822323i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −22.3071 | − | 12.8790i | −1.18729 | − | 0.685481i | −0.229599 | − | 0.973285i | \(-0.573741\pi\) |
−0.957689 | + | 0.287805i | \(0.907075\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.6297 | − | 7.29179i | 0.670317 | − | 0.387008i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.533015 | + | 6.15101i | 0.0282102 | + | 0.325546i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −28.7697 | + | 16.6102i | −1.51840 | + | 0.876651i | −0.518639 | + | 0.854993i | \(0.673561\pi\) |
−0.999765 | + | 0.0216582i | \(0.993105\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.2817 | − | 26.4687i | 0.804300 | − | 1.39309i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | − | 8.07258i | − | 0.423701i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 60.6597i | 3.17507i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.17584 | + | 3.76866i | −0.113578 | + | 0.196722i | −0.917210 | − | 0.398403i | \(-0.869564\pi\) |
0.803633 | + | 0.595126i | \(0.202898\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.60216 | − | 2.65706i | 0.239579 | − | 0.138321i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.37047 | − | 3.39135i | −0.123068 | − | 0.176070i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.0943 | − | 6.40533i | 0.574444 | − | 0.331655i | −0.184479 | − | 0.982837i | \(-0.559060\pi\) |
0.758922 | + | 0.651181i | \(0.225726\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −26.8859 | − | 15.5226i | −1.38838 | − | 0.801584i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5.14391i | 0.264925i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.0807 | 1.23694 | 0.618472 | − | 0.785807i | \(-0.287752\pi\) | ||||
0.618472 | + | 0.785807i | \(0.287752\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.74869 | − | 8.22498i | 0.243283 | − | 0.421378i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −8.78233 | − | 15.2114i | −0.448756 | − | 0.777268i | 0.549549 | − | 0.835461i | \(-0.314799\pi\) |
−0.998305 | + | 0.0581930i | \(0.981466\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 17.1242 | + | 8.00242i | 0.872731 | + | 0.407841i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.71386 | + | 2.96849i | 0.0871203 | + | 0.150897i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −23.9022 | − | 13.7999i | −1.21189 | − | 0.699685i | −0.248719 | − | 0.968576i | \(-0.580010\pi\) |
−0.963171 | + | 0.268890i | \(0.913343\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.09418 | −0.0553349 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −13.6675 | −0.689435 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 6.10079 | + | 3.52229i | 0.306964 | + | 0.177226i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.65850 | − | 14.9970i | −0.434558 | − | 0.752676i | 0.562702 | − | 0.826660i | \(-0.309762\pi\) |
−0.997259 | + | 0.0739841i | \(0.976429\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −16.8748 | − | 7.88583i | −0.844794 | − | 0.394786i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.87616 | − | 6.71371i | −0.193566 | − | 0.335266i | 0.752863 | − | 0.658177i | \(-0.228672\pi\) |
−0.946430 | + | 0.322910i | \(0.895339\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.43613 | − | 4.21950i | 0.121352 | − | 0.210188i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 4.17553 | 0.207484 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 15.3044i | 0.758611i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.01694 | − | 2.31918i | −0.198625 | − | 0.114676i | 0.397389 | − | 0.917650i | \(-0.369916\pi\) |
−0.596014 | + | 0.802974i | \(0.703250\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −10.3829 | + | 5.99460i | −0.512153 | + | 0.295692i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −9.21921 | − | 13.1896i | −0.453648 | − | 0.649018i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.85758 | + | 5.69128i | −0.483889 | + | 0.279374i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.32454 | − | 5.75828i | 0.162804 | − | 0.281984i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.2419i | 0.695760i | 0.937539 | + | 0.347880i | \(0.113098\pi\) | ||||
−0.937539 | + | 0.347880i | \(0.886902\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 20.0126i | − | 0.975356i | −0.873024 | − | 0.487678i | \(-0.837844\pi\) | ||
0.873024 | − | 0.487678i | \(-0.162156\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.95047 | − | 5.11037i | 0.143457 | − | 0.248475i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −25.1304 | + | 14.5091i | −1.21900 | + | 0.703793i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.08292 | + | 24.0370i | 0.100800 | + | 1.16323i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −2.28281 | + | 1.31798i | −0.110215 | + | 0.0636327i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.1099 | − | 6.99165i | −0.583313 | − | 0.336776i | 0.179136 | − | 0.983824i | \(-0.442670\pi\) |
−0.762449 | + | 0.647049i | \(0.776003\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 0.984888i | − | 0.0473307i | −0.999720 | − | 0.0236653i | \(-0.992466\pi\) | ||
0.999720 | − | 0.0236653i | \(-0.00753362\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −13.9415 | −0.668442 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.65050 | − | 2.85875i | 0.0789542 | − | 0.136753i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.43693 | − | 5.95294i | −0.164036 | − | 0.284118i | 0.772277 | − | 0.635286i | \(-0.219118\pi\) |
−0.936312 | + | 0.351168i | \(0.885785\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.40502 | + | 6.57388i | −0.114525 | + | 0.313042i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 1.70483 | + | 2.95285i | 0.0809989 | + | 0.140294i | 0.903679 | − | 0.428210i | \(-0.140856\pi\) |
−0.822680 | + | 0.568504i | \(0.807522\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.67582 | − | 4.43164i | −0.363869 | − | 0.210080i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 8.11897 | 0.384014 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 32.9924 | 1.55701 | 0.778503 | − | 0.627641i | \(-0.215979\pi\) | ||||
0.778503 | + | 0.627641i | \(0.215979\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.87416 | − | 4.54615i | −0.370780 | − | 0.214070i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.618020 | + | 1.07044i | 0.0290371 | + | 0.0502937i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.46935 | + | 16.9563i | 0.0688842 | + | 0.794926i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.4224 | + | 19.7842i | 0.534319 | + | 0.925467i | 0.999196 | + | 0.0400919i | \(0.0127651\pi\) |
−0.464877 | + | 0.885375i | \(0.653902\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.16679 | − | 2.02094i | 0.0544610 | − | 0.0943292i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 15.8743 | 0.739338 | 0.369669 | − | 0.929164i | \(-0.379471\pi\) | ||||
0.369669 | + | 0.929164i | \(0.379471\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 2.72059i | − | 0.126436i | −0.998000 | − | 0.0632182i | \(-0.979864\pi\) | ||
0.998000 | − | 0.0632182i | \(-0.0201364\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 11.4361 | + | 6.60261i | 0.530334 | + | 0.306189i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −20.7726 | + | 11.9931i | −0.961240 | + | 0.554972i | −0.896555 | − | 0.442933i | \(-0.853938\pi\) |
−0.0646858 | + | 0.997906i | \(0.520605\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.2058 | − | 11.3274i | 0.748313 | − | 0.523052i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −8.31880 | + | 4.80286i | −0.383310 | + | 0.221304i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.93236 | − | 5.07900i | 0.134830 | − | 0.233533i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 87.5443i | − | 4.01681i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.56389i | 0.0716058i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 9.87511 | − | 17.1042i | 0.451205 | − | 0.781511i | −0.547256 | − | 0.836965i | \(-0.684328\pi\) |
0.998461 | + | 0.0554547i | \(0.0176608\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.9344 | + | 6.89033i | −0.544162 | + | 0.314172i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.12389 | − | 0.525210i | −0.0511386 | − | 0.0238979i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.05874 | + | 4.07536i | −0.320521 | + | 0.185053i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 32.1435 | + | 18.5581i | 1.45656 | + | 0.840946i | 0.998840 | − | 0.0481495i | \(-0.0153324\pi\) |
0.457721 | + | 0.889096i | \(0.348666\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 19.4092i | 0.877715i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 20.5746 | 0.928517 | 0.464259 | − | 0.885700i | \(-0.346321\pi\) | ||||
0.464259 | + | 0.885700i | \(0.346321\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.89573 | + | 6.74761i | −0.175455 | + | 0.303897i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −3.57210 | − | 6.18706i | −0.160554 | − | 0.278088i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.91219 | − | 8.37162i | 0.175486 | − | 0.375518i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.517579 | + | 0.896473i | 0.0231700 | + | 0.0401316i | 0.877378 | − | 0.479800i | \(-0.159291\pi\) |
−0.854208 | + | 0.519932i | \(0.825957\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 15.3704 | + | 8.87410i | 0.686699 | + | 0.396466i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 19.7898 | 0.882382 | 0.441191 | − | 0.897413i | \(-0.354556\pi\) | ||||
0.441191 | + | 0.897413i | \(0.354556\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 57.5425 | 2.56061 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.20280 | + | 5.31324i | 0.408711 | + | 0.235969i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2.11849 | + | 3.66933i | 0.0939004 | + | 0.162640i | 0.909149 | − | 0.416471i | \(-0.136733\pi\) |
−0.815249 | + | 0.579111i | \(0.803400\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 22.0199 | + | 31.5031i | 0.974104 | + | 1.39362i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3.52006 | + | 6.09693i | 0.155415 | + | 0.269186i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −16.0394 | + | 27.7811i | −0.706781 | + | 1.22418i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.0963 | −0.444037 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 7.14150i | 0.313477i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −33.6570 | − | 19.4319i | −1.47454 | − | 0.851326i | −0.474952 | − | 0.880012i | \(-0.657535\pi\) |
−0.999588 | + | 0.0286855i | \(0.990868\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.8181 | + | 8.55526i | −0.647952 | + | 0.374095i | −0.787671 | − | 0.616096i | \(-0.788713\pi\) |
0.139719 | + | 0.990191i | \(0.455380\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −32.7772 | + | 2.84030i | −1.43051 | + | 0.123961i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 6.39126 | − | 3.69000i | 0.278408 | − | 0.160739i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.3901 | + | 19.7282i | −0.495221 | + | 0.857747i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.08229i | 0.263949i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 8.18704i | − | 0.354620i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −30.0811 | + | 52.1019i | −1.30052 | + | 2.25256i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −20.7121 | + | 11.9581i | −0.893791 | + | 0.516031i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 11.7983 | − | 2.06023i | 0.508187 | − | 0.0887402i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 37.6652 | − | 21.7460i | 1.61935 | − | 0.934935i | 0.632268 | − | 0.774750i | \(-0.282124\pi\) |
0.987087 | − | 0.160185i | \(-0.0512092\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 17.8030 | + | 10.2786i | 0.764002 | + | 0.441097i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | − | 14.0971i | − | 0.603852i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.8290 | −0.463016 | −0.231508 | − | 0.972833i | \(-0.574366\pi\) | ||||
−0.231508 | + | 0.972833i | \(0.574366\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.55959 | − | 7.89744i | 0.194598 | − | 0.337054i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.7530 | − | 20.3567i | −0.500693 | − | 0.867226i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.44702 | − | 0.385356i | 0.189106 | − | 0.0163870i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −18.6748 | − | 32.3456i | −0.792699 | − | 1.37300i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −7.04197 | − | 4.06568i | −0.298378 | − | 0.172269i | 0.343336 | − | 0.939213i | \(-0.388443\pi\) |
−0.641714 | + | 0.766944i | \(0.721776\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.28082 | 0.223355 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.99268 | −0.168571 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −19.6081 | − | 11.3207i | −0.826381 | − | 0.477111i | 0.0262311 | − | 0.999656i | \(-0.491649\pi\) |
−0.852612 | + | 0.522545i | \(0.824983\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 22.3579 | + | 38.7251i | 0.940605 | + | 1.62918i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.16853 | − | 1.51575i | 0.0910696 | − | 0.0636554i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 10.1485 | + | 17.5778i | 0.425449 | + | 0.736900i | 0.996462 | − | 0.0840413i | \(-0.0267828\pi\) |
−0.571013 | + | 0.820941i | \(0.693449\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.3819 | − | 31.8383i | 0.769257 | − | 1.33239i | −0.168710 | − | 0.985666i | \(-0.553960\pi\) |
0.937967 | − | 0.346726i | \(-0.112707\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 2.01521 | 0.0841868 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 5.83059i | − | 0.243153i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.39915 | + | 0.807801i | 0.0582475 | + | 0.0336292i | 0.528841 | − | 0.848721i | \(-0.322627\pi\) |
−0.470593 | + | 0.882350i | \(0.655960\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3.09232 | + | 1.78535i | −0.128512 | + | 0.0741967i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.05348 | + | 6.53409i | −0.126680 | + | 0.271080i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.31729 | − | 1.33789i | 0.0959723 | − | 0.0554097i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.21646 | − | 5.57107i | 0.132984 | − | 0.230335i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | − | 3.68747i | − | 0.152198i | −0.997100 | − | 0.0760991i | \(-0.975753\pi\) | ||
0.997100 | − | 0.0760991i | \(-0.0242465\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.2646i | 0.917396i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −8.76965 | + | 15.1895i | −0.360735 | + | 0.624812i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 32.3781 | − | 18.6935i | 1.32961 | − | 0.767650i | 0.344370 | − | 0.938834i | \(-0.388092\pi\) |
0.985239 | + | 0.171184i | \(0.0547591\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.9144 | + | 23.3556i | −0.447447 | + | 0.957485i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 15.3345 | − | 8.85336i | 0.627598 | − | 0.362344i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −8.61435 | − | 4.97350i | −0.351973 | − | 0.203212i | 0.313581 | − | 0.949561i | \(-0.398471\pi\) |
−0.665554 | + | 0.746350i | \(0.731805\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 35.9296i | − | 1.46560i | −0.680445 | − | 0.732799i | \(-0.738214\pi\) | ||
0.680445 | − | 0.732799i | \(-0.261786\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −7.47317 | −0.304331 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 16.8536 | − | 29.1914i | 0.685198 | − | 1.18680i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 14.9355 | + | 25.8690i | 0.606212 | + | 1.04999i | 0.991859 | + | 0.127344i | \(0.0406451\pi\) |
−0.385646 | + | 0.922647i | \(0.626022\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −7.24039 | + | 5.06085i | −0.293395 | + | 0.205076i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −4.54557 | − | 7.87315i | −0.183894 | − | 0.318514i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 32.8160 | + | 18.9463i | 1.32542 | + | 0.765234i | 0.984588 | − | 0.174889i | \(-0.0559566\pi\) |
0.340836 | + | 0.940123i | \(0.389290\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 22.1892 | 0.894756 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 39.0332 | 1.57142 | 0.785709 | − | 0.618597i | \(-0.212298\pi\) | ||||
0.785709 | + | 0.618597i | \(0.212298\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 21.5338 | + | 12.4325i | 0.865517 | + | 0.499706i | 0.865856 | − | 0.500294i | \(-0.166775\pi\) |
−0.000339137 | 1.00000i | \(0.500108\pi\) | ||||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.234442 | + | 0.406066i | 0.00940784 | + | 0.0162949i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −5.59509 | + | 0.484842i | −0.224163 | + | 0.0194248i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −33.7275 | − | 58.4177i | −1.34910 | − | 2.33671i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 6.02273 | − | 10.4317i | 0.240525 | − | 0.416601i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −20.8735 | −0.832281 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 43.3823i | − | 1.72702i | −0.504330 | − | 0.863511i | \(-0.668260\pi\) | ||
0.504330 | − | 0.863511i | \(-0.331740\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.66372 | − | 2.11525i | −0.145620 | − | 0.0840736i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 34.3436 | − | 19.8283i | 1.36289 | − | 0.786862i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.91837 | + | 8.27276i | 0.274116 | + | 0.327779i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.02471 | + | 1.74631i | −0.119656 | + | 0.0690831i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.32559 | + | 5.76010i | −0.131353 | + | 0.227510i | −0.924198 | − | 0.381913i | \(-0.875265\pi\) |
0.792845 | + | 0.609423i | \(0.208599\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 18.1066i | − | 0.714055i | −0.934094 | − | 0.357027i | \(-0.883790\pi\) | ||
0.934094 | − | 0.357027i | \(-0.116210\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 14.3125i | 0.563555i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 24.6421 | − | 42.6815i | 0.968783 | − | 1.67798i | 0.269694 | − | 0.962946i | \(-0.413077\pi\) |
0.699089 | − | 0.715035i | \(-0.253589\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.01239 | − | 5.20331i | 0.353767 | − | 0.204248i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 8.33602 | − | 0.722357i | 0.326714 | − | 0.0283114i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 22.1087 | − | 12.7645i | 0.865181 | − | 0.499512i | −0.000563051 | − | 1.00000i | \(-0.500179\pi\) |
0.865744 | + | 0.500488i | \(0.166846\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −49.4233 | − | 28.5345i | −1.93113 | − | 1.11494i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 14.5274i | − | 0.566769i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 12.0942 | 0.471125 | 0.235562 | − | 0.971859i | \(-0.424307\pi\) | ||||
0.235562 | + | 0.971859i | \(0.424307\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.42541 | − | 9.39708i | 0.211024 | − | 0.365504i | −0.741011 | − | 0.671493i | \(-0.765654\pi\) |
0.952035 | + | 0.305988i | \(0.0989869\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.79758 | − | 3.11350i | −0.0698122 | − | 0.120918i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −44.5573 | − | 63.7466i | −1.72786 | − | 2.47199i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.782767 | − | 1.35579i | −0.0303089 | − | 0.0524965i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 1.24302 | + | 0.717661i | 0.0480581 | + | 0.0277464i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −15.6026 | −0.602333 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −48.1931 | −1.85771 | −0.928854 | − | 0.370446i | \(-0.879205\pi\) | ||||
−0.928854 | + | 0.370446i | \(0.879205\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 10.7691 | + | 6.21752i | 0.414501 | + | 0.239312i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −2.56093 | − | 4.43567i | −0.0984246 | − | 0.170476i | 0.812608 | − | 0.582810i | \(-0.198047\pi\) |
−0.911033 | + | 0.412334i | \(0.864714\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.18651 | + | 4.67888i | −0.0839107 | + | 0.179559i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 8.00718 | + | 13.8688i | 0.306836 | + | 0.531455i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 11.7191 | − | 20.2980i | 0.448418 | − | 0.776682i | −0.549866 | − | 0.835253i | \(-0.685321\pi\) |
0.998283 | + | 0.0585709i | \(0.0186544\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −50.0612 | −1.91274 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 16.2500i | − | 0.619975i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.08658 | + | 1.20468i | 0.0794922 | + | 0.0458948i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.9534 | + | 6.90129i | −0.454728 | + | 0.262537i | −0.709825 | − | 0.704378i | \(-0.751226\pi\) |
0.255097 | + | 0.966915i | \(0.417893\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.10109 | − | 1.91650i | −0.155788 | − | 0.0728020i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 24.0439 | − | 13.8817i | 0.912035 | − | 0.526564i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.20044 | − | 10.7395i | 0.234859 | − | 0.406787i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 11.8611i | 0.448627i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.8718i | 0.448393i | 0.974544 | + | 0.224196i | \(0.0719757\pi\) | ||||
−0.974544 | + | 0.224196i | \(0.928024\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 31.4865 | − | 54.5362i | 1.18754 | − | 2.05687i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 21.3385 | − | 12.3198i | 0.803654 | − | 0.463990i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 29.8843 | − | 20.8883i | 1.12391 | − | 0.785587i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −27.1241 | + | 15.6601i | −1.01867 | + | 0.588127i | −0.913717 | − | 0.406350i | \(-0.866801\pi\) |
−0.104949 | + | 0.994478i | \(0.533468\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.46108 | − | 0.843557i | −0.0547949 | − | 0.0316358i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.48286i | 0.0555335i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.0065 | −0.411621 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.423292 | − | 0.733164i | 0.0158081 | − | 0.0273805i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.6273 | + | 21.8712i | 0.470920 | + | 0.815657i | 0.999447 | − | 0.0332594i | \(-0.0105888\pi\) |
−0.528527 | + | 0.848917i | \(0.677255\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.75479 | + | 20.2503i | 0.0653518 | + | 0.754161i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.439609 | + | 0.761425i | 0.0163492 | + | 0.0283177i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −35.9563 | − | 20.7594i | −1.33538 | − | 0.770984i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.9342 | 0.665144 | 0.332572 | − | 0.943078i | \(-0.392084\pi\) | ||||
0.332572 | + | 0.943078i | \(0.392084\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 6.92720 | + | 3.99942i | 0.256212 | + | 0.147924i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.16779 | + | 10.6829i | 0.227813 | + | 0.394583i | 0.957160 | − | 0.289561i | \(-0.0935093\pi\) |
−0.729347 | + | 0.684144i | \(0.760176\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −22.4215 | + | 18.7508i | −0.827031 | + | 0.691632i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 6.39319 | + | 11.0733i | 0.235496 | + | 0.407891i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 21.7463 | − | 37.6656i | 0.799949 | − | 1.38555i | −0.119699 | − | 0.992810i | \(-0.538193\pi\) |
0.919648 | − | 0.392743i | \(-0.128474\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 10.8462 | 0.398444 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 32.8397i | 1.20477i | 0.798205 | + | 0.602386i | \(0.205783\pi\) | ||||
−0.798205 | + | 0.602386i | \(0.794217\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 29.3591 | + | 16.9505i | 1.07563 | + | 0.621018i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.36080 | − | 1.36301i | 0.0863771 | − | 0.0498698i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 3.29101 | + | 37.9784i | 0.120251 | + | 1.38770i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.62670 | − | 4.40328i | 0.278302 | − | 0.160678i | −0.354352 | − | 0.935112i | \(-0.615299\pi\) |
0.632655 | + | 0.774434i | \(0.281965\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 9.07203 | − | 15.7132i | 0.330603 | − | 0.572622i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 5.16112i | 0.187832i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 16.9328i | − | 0.615433i | −0.951478 | − | 0.307717i | \(-0.900435\pi\) | ||
0.951478 | − | 0.307717i | \(-0.0995649\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.401124 | − | 0.694766i | 0.0145599 | − | 0.0252184i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 10.9108 | − | 6.29937i | 0.395517 | − | 0.228352i | −0.289031 | − | 0.957320i | \(-0.593333\pi\) |
0.684548 | + | 0.728968i | \(0.260000\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.11734 | − | 7.32121i | −0.185260 | − | 0.265045i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 8.43848 | − | 4.87196i | 0.305094 | − | 0.176146i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 8.11510 | + | 4.68526i | 0.293019 | + | 0.169175i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 16.0445i | 0.578581i | 0.957241 | + | 0.289291i | \(0.0934194\pi\) | ||||
−0.957241 | + | 0.289291i | \(0.906581\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −18.3484 | −0.660802 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 9.15671 | − | 15.8599i | 0.329344 | − | 0.570440i | −0.653038 | − | 0.757325i | \(-0.726506\pi\) |
0.982382 | + | 0.186885i | \(0.0598391\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 19.6631 | + | 34.0574i | 0.706318 | + | 1.22338i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −21.4403 | − | 10.0194i | −0.769166 | − | 0.359443i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 18.7060 | + | 32.3998i | 0.670213 | + | 1.16084i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.17518 | + | 2.98789i | 0.185183 | + | 0.106915i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.33885 | 0.119321 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −40.1090 | −1.43155 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.88976 | − | 2.24576i | −0.138655 | − | 0.0800526i | 0.429068 | − | 0.903272i | \(-0.358842\pi\) |
−0.567723 | + | 0.823220i | \(0.692175\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1.74385 | + | 3.02044i | 0.0620828 | + | 0.107531i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 25.6689 | + | 11.9955i | 0.912680 | + | 0.426510i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.02460 | − | 12.1670i | −0.249451 | − | 0.432062i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −3.26504 | + | 5.65522i | −0.115799 | + | 0.200570i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 31.7698 | 1.12534 | 0.562672 | − | 0.826680i | \(-0.309773\pi\) | ||||
0.562672 | + | 0.826680i | \(0.309773\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 13.7703i | − | 0.487159i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.83829 | + | 1.06134i | 0.0649527 | + | 0.0375004i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −21.5259 | + | 12.4280i | −0.759634 | + | 0.438575i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.96759 | − | 4.24563i | −0.104594 | − | 0.149639i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 12.7410 | − | 7.35605i | 0.448506 | − | 0.258945i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −12.5784 | + | 21.7864i | −0.442232 | + | 0.765969i | −0.997855 | − | 0.0654659i | \(-0.979147\pi\) |
0.555623 | + | 0.831435i | \(0.312480\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 48.0042i | 1.68565i | 0.538184 | + | 0.842827i | \(0.319110\pi\) | ||||
−0.538184 | + | 0.842827i | \(0.680890\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 19.9028i | − | 0.698021i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −40.5219 | + | 70.1859i | −1.41942 | + | 2.45851i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −20.8985 | + | 12.0658i | −0.731148 | + | 0.422128i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.351896 | − | 4.06089i | −0.0122962 | − | 0.141899i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 14.5854 | − | 8.42089i | 0.509034 | − | 0.293891i | −0.223402 | − | 0.974726i | \(-0.571716\pi\) |
0.732437 | + | 0.680835i | \(0.238383\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.1163 | + | 9.88209i | 0.596636 | + | 0.344468i | 0.767717 | − | 0.640789i | \(-0.221393\pi\) |
−0.171081 | + | 0.985257i | \(0.554726\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | − | 21.2760i | − | 0.740735i | ||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −49.1702 | −1.70981 | −0.854907 | − | 0.518781i | \(-0.826386\pi\) | ||||
−0.854907 | + | 0.518781i | \(0.826386\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.96007 | − | 13.7872i | 0.276465 | − | 0.478851i | −0.694039 | − | 0.719937i | \(-0.744171\pi\) |
0.970504 | + | 0.241087i | \(0.0775038\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −13.2233 | − | 22.9034i | −0.458710 | − | 0.794510i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.80992 | + | 16.0915i | 0.0973580 | + | 0.557539i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 37.0541 | + | 64.1795i | 1.28231 | + | 2.22102i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −2.73883 | − | 1.58126i | −0.0946678 | − | 0.0546565i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −38.3305 | −1.32332 | −0.661658 | − | 0.749806i | \(-0.730147\pi\) | ||||
−0.661658 | + | 0.749806i | \(0.730147\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.8521 | 0.615589 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 17.5662 | + | 10.1419i | 0.605013 | + | 0.349304i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 22.1856 | + | 38.4266i | 0.763207 | + | 1.32191i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.84387 | − | 21.2783i | −0.0633561 | − | 0.731131i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 3.29336 | + | 5.70426i | 0.113028 | + | 0.195770i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.09705 | − | 3.63220i | 0.0718860 | − | 0.124510i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −22.5158 | −0.770927 | −0.385463 | − | 0.922723i | \(-0.625958\pi\) | ||||
−0.385463 | + | 0.922723i | \(0.625958\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 29.3963i | 1.00533i | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −11.1913 | − | 6.46129i | −0.382287 | − | 0.220713i | 0.296526 | − | 0.955025i | \(-0.404172\pi\) |
−0.678813 | + | 0.734311i | \(0.737505\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −20.1418 | + | 11.6289i | −0.687229 | + | 0.396772i | −0.802573 | − | 0.596554i | \(-0.796536\pi\) |
0.115344 | + | 0.993326i | \(0.463203\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 11.5238 | − | 8.05485i | 0.392730 | − | 0.274509i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 7.69412 | − | 4.44220i | 0.261911 | − | 0.151214i | −0.363295 | − | 0.931674i | \(-0.618348\pi\) |
0.625206 | + | 0.780460i | \(0.285015\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.9098 | + | 25.8245i | −0.506947 | + | 0.878059i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 11.5544i | 0.392409i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.88660i | 0.0979212i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.75667 | + | 9.97084i | −0.195057 | + | 0.337849i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1.69050 | − | 0.976012i | 0.0572148 | − | 0.0330330i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −74.4135 | − | 34.7746i | −2.51564 | − | 1.17560i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −40.2134 | + | 23.2172i | −1.35791 | + | 0.783990i | −0.989342 | − | 0.145610i | \(-0.953485\pi\) |
−0.368569 | + | 0.929600i | \(0.620152\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 11.2097 | + | 6.47192i | 0.378094 | + | 0.218292i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 27.1901i | 0.916058i | 0.888937 | + | 0.458029i | \(0.151444\pi\) | ||||
−0.888937 | + | 0.458029i | \(0.848556\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 21.7975 | 0.733543 | 0.366772 | − | 0.930311i | \(-0.380463\pi\) | ||||
0.366772 | + | 0.930311i | \(0.380463\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −12.6984 | + | 21.9942i | −0.426852 | + | 0.739329i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 21.1661 | + | 36.6607i | 0.710688 | + | 1.23095i | 0.964599 | + | 0.263720i | \(0.0849495\pi\) |
−0.253911 | + | 0.967227i | \(0.581717\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.6383 | − | 22.7646i | 0.356796 | − | 0.763502i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.855485 | + | 1.48174i | 0.0286598 | + | 0.0496403i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 35.9777 | + | 20.7717i | 1.20395 | + | 0.695099i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −99.8629 | −3.33805 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.722374 | 0.0241194 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 9.14454 | + | 5.27960i | 0.304987 | + | 0.176085i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.82473 | + | 3.16053i | 0.0607906 | + | 0.105292i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 5.19555 | + | 7.43310i | 0.172897 | + | 0.247358i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 42.9186 | + | 74.3371i | 1.42666 | + | 2.47105i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −22.5605 | + | 39.0760i | −0.749109 | + | 1.29750i | 0.199141 | + | 0.979971i | \(0.436185\pi\) |
−0.948250 | + | 0.317525i | \(0.897148\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −13.7809 | −0.457083 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 36.2714i | − | 1.20173i | −0.799352 | − | 0.600863i | \(-0.794824\pi\) | ||
0.799352 | − | 0.600863i | \(-0.205176\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.03926 | − | 2.33207i | −0.133680 | − | 0.0771801i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 32.9760 | − | 19.0387i | 1.09015 | − | 0.629400i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −36.0258 | + | 3.12181i | −1.18968 | + | 0.103091i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 37.7905 | − | 21.8183i | 1.24659 | − | 0.719721i | 0.276164 | − | 0.961110i | \(-0.410937\pi\) |
0.970428 | + | 0.241390i | \(0.0776032\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5.93863 | − | 10.2860i | 0.195685 | − | 0.338936i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 5.38082i | 0.177112i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 111.230i | − | 3.65721i | ||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 3.84129 | − | 6.65331i | 0.126165 | − | 0.218523i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 10.2075 | − | 5.89332i | 0.334898 | − | 0.193354i | −0.323115 | − | 0.946360i | \(-0.604730\pi\) |
0.658014 | + | 0.753006i | \(0.271397\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −46.2809 | − | 16.9317i | −1.51680 | − | 0.554913i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −10.2511 | + | 5.91849i | −0.335607 | + | 0.193763i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −14.4380 | − | 8.33578i | −0.472173 | − | 0.272609i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 35.0529i | 1.14513i | 0.819860 | + | 0.572565i | \(0.194051\pi\) | ||||
−0.819860 | + | 0.572565i | \(0.805949\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.8243 | 0.483774 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −14.2985 | + | 24.7658i | −0.466119 | + | 0.807342i | −0.999251 | − | 0.0386903i | \(-0.987681\pi\) |
0.533132 | + | 0.846032i | \(0.321015\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.24585 | + | 2.15788i | 0.0405705 | + | 0.0702702i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 11.0062 | − | 0.953738i | 0.358031 | − | 0.0310251i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −25.7444 | − | 44.5906i | −0.836580 | − | 1.44900i | −0.892738 | − | 0.450577i | \(-0.851218\pi\) |
0.0561576 | − | 0.998422i | \(-0.482115\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −19.3828 | − | 11.1906i | −0.629191 | − | 0.363264i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −6.78361 | −0.219974 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −11.8761 | −0.384706 | −0.192353 | − | 0.981326i | \(-0.561612\pi\) | ||||
−0.192353 | + | 0.981326i | \(0.561612\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 7.28724 | + | 4.20729i | 0.235810 | + | 0.136145i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2.85634 | − | 4.94732i | −0.0923323 | − | 0.159924i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −25.9989 | + | 18.1726i | −0.839548 | + | 0.586823i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.4992 | + | 18.1852i | 0.338684 | + | 0.586618i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 7.20414 | − | 12.4779i | 0.232150 | − | 0.402096i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −14.9096 | −0.479956 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 59.2193i | − | 1.90437i | −0.305530 | − | 0.952183i | \(-0.598833\pi\) | ||
0.305530 | − | 0.952183i | \(-0.401167\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 14.2276 | + | 8.21434i | 0.457058 | + | 0.263883i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 4.53638 | − | 2.61908i | 0.145579 | − | 0.0840503i | −0.425441 | − | 0.904986i | \(-0.639881\pi\) |
0.571020 | + | 0.820936i | \(0.306548\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.44782 | − | 15.9375i | 0.238766 | − | 0.510931i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 16.5911 | − | 9.57885i | 0.531339 | − | 0.306769i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 26.6049 | − | 46.0810i | 0.851165 | − | 1.47426i | −0.0289924 | − | 0.999580i | \(-0.509230\pi\) |
0.880158 | − | 0.474682i | \(-0.157437\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 3.63183i | − | 0.116074i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.37612i | 0.107791i | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 13.9737 | − | 24.2032i | 0.445693 | − | 0.771963i | −0.552407 | − | 0.833574i | \(-0.686291\pi\) |
0.998100 | + | 0.0616113i | \(0.0196239\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −63.4241 | + | 36.6179i | −2.02086 | + | 1.16674i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 6.60981 | − | 14.1442i | 0.210393 | − | 0.450215i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −1.39188 | + | 0.803601i | −0.0442592 | + | 0.0255530i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −18.7980 | − | 10.8530i | −0.597139 | − | 0.344758i | 0.170776 | − | 0.985310i | \(-0.445372\pi\) |
−0.767915 | + | 0.640552i | \(0.778706\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 4.74570i | 0.150600i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 73.9349 | 2.34389 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16.8274 | + | 29.1458i | −0.532928 | + | 0.923058i | 0.466333 | + | 0.884609i | \(0.345575\pi\) |
−0.999261 | + | 0.0384485i | \(0.987758\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.47243 | + | 7.74648i | 0.141501 | + | 0.245088i |
(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 | 672.2.bb.a.367.1 | 32 | ||
3.2 | odd | 2 | 2016.2.bs.c.1711.16 | 32 | |||
4.3 | odd | 2 | 168.2.t.a.115.12 | yes | 32 | ||
7.3 | odd | 6 | 4704.2.p.a.3919.5 | 32 | |||
7.4 | even | 3 | 4704.2.p.a.3919.24 | 32 | |||
7.5 | odd | 6 | inner | 672.2.bb.a.271.8 | 32 | ||
8.3 | odd | 2 | inner | 672.2.bb.a.367.8 | 32 | ||
8.5 | even | 2 | 168.2.t.a.115.1 | yes | 32 | ||
12.11 | even | 2 | 504.2.bk.c.451.5 | 32 | |||
21.5 | even | 6 | 2016.2.bs.c.271.1 | 32 | |||
24.5 | odd | 2 | 504.2.bk.c.451.16 | 32 | |||
24.11 | even | 2 | 2016.2.bs.c.1711.1 | 32 | |||
28.3 | even | 6 | 1176.2.p.a.979.20 | 32 | |||
28.11 | odd | 6 | 1176.2.p.a.979.19 | 32 | |||
28.19 | even | 6 | 168.2.t.a.19.1 | ✓ | 32 | ||
56.3 | even | 6 | 4704.2.p.a.3919.23 | 32 | |||
56.5 | odd | 6 | 168.2.t.a.19.12 | yes | 32 | ||
56.11 | odd | 6 | 4704.2.p.a.3919.6 | 32 | |||
56.19 | even | 6 | inner | 672.2.bb.a.271.1 | 32 | ||
56.45 | odd | 6 | 1176.2.p.a.979.17 | 32 | |||
56.53 | even | 6 | 1176.2.p.a.979.18 | 32 | |||
84.47 | odd | 6 | 504.2.bk.c.19.16 | 32 | |||
168.5 | even | 6 | 504.2.bk.c.19.5 | 32 | |||
168.131 | odd | 6 | 2016.2.bs.c.271.16 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.t.a.19.1 | ✓ | 32 | 28.19 | even | 6 | ||
168.2.t.a.19.12 | yes | 32 | 56.5 | odd | 6 | ||
168.2.t.a.115.1 | yes | 32 | 8.5 | even | 2 | ||
168.2.t.a.115.12 | yes | 32 | 4.3 | odd | 2 | ||
504.2.bk.c.19.5 | 32 | 168.5 | even | 6 | |||
504.2.bk.c.19.16 | 32 | 84.47 | odd | 6 | |||
504.2.bk.c.451.5 | 32 | 12.11 | even | 2 | |||
504.2.bk.c.451.16 | 32 | 24.5 | odd | 2 | |||
672.2.bb.a.271.1 | 32 | 56.19 | even | 6 | inner | ||
672.2.bb.a.271.8 | 32 | 7.5 | odd | 6 | inner | ||
672.2.bb.a.367.1 | 32 | 1.1 | even | 1 | trivial | ||
672.2.bb.a.367.8 | 32 | 8.3 | odd | 2 | inner | ||
1176.2.p.a.979.17 | 32 | 56.45 | odd | 6 | |||
1176.2.p.a.979.18 | 32 | 56.53 | even | 6 | |||
1176.2.p.a.979.19 | 32 | 28.11 | odd | 6 | |||
1176.2.p.a.979.20 | 32 | 28.3 | even | 6 | |||
2016.2.bs.c.271.1 | 32 | 21.5 | even | 6 | |||
2016.2.bs.c.271.16 | 32 | 168.131 | odd | 6 | |||
2016.2.bs.c.1711.1 | 32 | 24.11 | even | 2 | |||
2016.2.bs.c.1711.16 | 32 | 3.2 | odd | 2 | |||
4704.2.p.a.3919.5 | 32 | 7.3 | odd | 6 | |||
4704.2.p.a.3919.6 | 32 | 56.11 | odd | 6 | |||
4704.2.p.a.3919.23 | 32 | 56.3 | even | 6 | |||
4704.2.p.a.3919.24 | 32 | 7.4 | even | 3 |