Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,2,Mod(13,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.m (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.11790562830\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | 8.0.11574317056.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 45x^{4} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.4 | ||
Root | \(1.83051 - 1.83051i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 140.13 |
Dual form | 140.2.m.a.97.4 |
$q$-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 \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.83051 | − | 1.83051i | 1.05685 | − | 1.05685i | 0.0585640 | − | 0.998284i | \(-0.481348\pi\) |
0.998284 | − | 0.0585640i | \(-0.0186522\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.83051 | + | 1.28422i | 0.818631 | + | 0.574320i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.12393 | + | 1.57763i | −0.802769 | + | 0.596289i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | − | 3.70156i | − | 1.23385i | ||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.70156 | −1.41757 | −0.708787 | − | 0.705422i | \(-0.750757\pi\) | ||||
−0.708787 | + | 0.705422i | \(0.750757\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.83051 | − | 1.83051i | 0.507693 | − | 0.507693i | −0.406125 | − | 0.913818i | \(-0.633120\pi\) |
0.913818 | + | 0.406125i | \(0.133120\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.70156 | − | 1.00000i | 1.47214 | − | 0.258199i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.737925 | − | 0.737925i | −0.178973 | − | 0.178973i | 0.611935 | − | 0.790908i | \(-0.290391\pi\) |
−0.790908 | + | 0.611935i | \(0.790391\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.75362 | −1.09055 | −0.545277 | − | 0.838256i | \(-0.683576\pi\) | ||||
−0.545277 | + | 0.838256i | \(0.683576\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.00000 | + | 6.77576i | −0.218218 | + | 1.47859i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.70156 | + | 3.70156i | 0.771829 | + | 0.771829i | 0.978426 | − | 0.206597i | \(-0.0662389\pi\) |
−0.206597 | + | 0.978426i | \(0.566239\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.70156 | + | 4.70156i | 0.340312 | + | 0.940312i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.28422 | − | 1.28422i | −0.247148 | − | 0.247148i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 0.701562i | − | 0.130277i | −0.997876 | − | 0.0651384i | \(-0.979251\pi\) | ||
0.997876 | − | 0.0651384i | \(-0.0207489\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 8.79790i | − | 1.58015i | −0.613010 | − | 0.790075i | \(-0.710041\pi\) | ||
0.613010 | − | 0.790075i | \(-0.289959\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −8.60627 | + | 8.60627i | −1.49816 | + | 1.49816i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −5.91391 | + | 0.160291i | −0.999633 | + | 0.0270941i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.70156 | + | 3.70156i | −0.608533 | + | 0.608533i | −0.942563 | − | 0.334030i | \(-0.891591\pi\) |
0.334030 | + | 0.942563i | \(0.391591\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | − | 6.70156i | − | 1.07311i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.75362i | 0.742390i | 0.928555 | + | 0.371195i | \(0.121052\pi\) | ||||
−0.928555 | + | 0.371195i | \(0.878948\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.00000 | − | 5.00000i | −0.762493 | − | 0.762493i | 0.214280 | − | 0.976772i | \(-0.431260\pi\) |
−0.976772 | + | 0.214280i | \(0.931260\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 4.75362 | − | 6.77576i | 0.708627 | − | 1.01007i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 8.05998 | + | 8.05998i | 1.17567 | + | 1.17567i | 0.980837 | + | 0.194832i | \(0.0624163\pi\) |
0.194832 | + | 0.980837i | \(0.437584\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.02214 | − | 6.70156i | 0.288878 | − | 0.957366i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.70156 | −0.378294 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.00000 | + | 5.00000i | 0.686803 | + | 0.686803i | 0.961524 | − | 0.274721i | \(-0.0885855\pi\) |
−0.274721 | + | 0.961524i | \(0.588586\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.60627 | − | 6.03784i | −1.16047 | − | 0.814142i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −8.70156 | + | 8.70156i | −1.15255 | + | 1.15255i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 4.75362 | 0.618868 | 0.309434 | − | 0.950921i | \(-0.399860\pi\) | ||||
0.309434 | + | 0.950921i | \(0.399860\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 9.50723i | − | 1.21728i | −0.793448 | − | 0.608638i | \(-0.791716\pi\) | ||
0.793448 | − | 0.608638i | \(-0.208284\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.83971 | + | 7.86185i | 0.735734 | + | 0.990500i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 5.70156 | − | 1.00000i | 0.707192 | − | 0.124035i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.00000 | − | 5.00000i | 0.610847 | − | 0.610847i | −0.332320 | − | 0.943167i | \(-0.607831\pi\) |
0.943167 | + | 0.332320i | \(0.107831\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 13.5515 | 1.63141 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −5.40312 | −0.641233 | −0.320616 | − | 0.947209i | \(-0.603890\pi\) | ||||
−0.320616 | + | 0.947209i | \(0.603890\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.11473 | − | 3.11473i | 0.364552 | − | 0.364552i | −0.500934 | − | 0.865486i | \(-0.667010\pi\) |
0.865486 | + | 0.500934i | \(0.167010\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 11.7210 | + | 5.49154i | 1.35343 | + | 0.634109i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 9.98578 | − | 7.41734i | 1.13799 | − | 0.845285i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.70156i | 0.753985i | 0.926216 | + | 0.376992i | \(0.123042\pi\) | ||||
−0.926216 | + | 0.376992i | \(0.876958\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.40312 | 0.711458 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 7.86835 | − | 7.86835i | 0.863664 | − | 0.863664i | −0.128098 | − | 0.991762i | \(-0.540887\pi\) |
0.991762 | + | 0.128098i | \(0.0408872\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.403124 | − | 2.29844i | −0.0437250 | − | 0.249301i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.28422 | − | 1.28422i | −0.137683 | − | 0.137683i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −13.5515 | −1.43646 | −0.718229 | − | 0.695807i | \(-0.755047\pi\) | ||||
−0.718229 | + | 0.695807i | \(0.755047\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.00000 | + | 6.77576i | −0.104828 | + | 0.710293i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −16.1047 | − | 16.1047i | −1.66998 | − | 1.66998i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −8.70156 | − | 6.10469i | −0.892761 | − | 0.626328i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.49154 | − | 5.49154i | −0.557582 | − | 0.557582i | 0.371037 | − | 0.928618i | \(-0.379002\pi\) |
−0.928618 | + | 0.371037i | \(0.879002\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 17.4031i | 1.74908i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 4.75362i | − | 0.473003i | −0.971631 | − | 0.236501i | \(-0.923999\pi\) | ||
0.971631 | − | 0.236501i | \(-0.0760008\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.92310 | + | 2.92310i | −0.288022 | + | 0.288022i | −0.836298 | − | 0.548276i | \(-0.815284\pi\) |
0.548276 | + | 0.836298i | \(0.315284\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −10.5321 | + | 11.1189i | −1.02783 | + | 1.08509i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 2.40312 | − | 2.40312i | 0.232319 | − | 0.232319i | −0.581341 | − | 0.813660i | \(-0.697472\pi\) |
0.813660 | + | 0.581341i | \(0.197472\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 3.29844i | − | 0.315933i | −0.987444 | − | 0.157967i | \(-0.949506\pi\) | ||
0.987444 | − | 0.157967i | \(-0.0504938\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 13.5515i | 1.28625i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −6.29844 | − | 6.29844i | −0.592507 | − | 0.592507i | 0.345801 | − | 0.938308i | \(-0.387607\pi\) |
−0.938308 | + | 0.345801i | \(0.887607\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.02214 | + | 11.5294i | 0.188566 | + | 1.07512i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −6.77576 | − | 6.77576i | −0.626419 | − | 0.626419i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.73147 | + | 0.403124i | 0.250394 | + | 0.0369543i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 11.1047 | 1.00952 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.70156 | + | 8.70156i | 0.784593 | + | 0.784593i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.92310 | + | 10.7915i | −0.261450 | + | 0.965217i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.40312 | − | 2.40312i | 0.213243 | − | 0.213243i | −0.592401 | − | 0.805643i | \(-0.701820\pi\) |
0.805643 | + | 0.592401i | \(0.201820\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −18.3051 | −1.61168 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 4.04429i | − | 0.353351i | −0.984269 | − | 0.176676i | \(-0.943466\pi\) | ||
0.984269 | − | 0.176676i | \(-0.0565343\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.0963 | − | 7.49947i | 0.875464 | − | 0.650286i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.701562 | − | 4.00000i | −0.0603809 | − | 0.344265i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.70156 | + | 3.70156i | −0.316246 | + | 0.316246i | −0.847323 | − | 0.531077i | \(-0.821787\pi\) |
0.531077 | + | 0.847323i | \(0.321787\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −17.5958 | −1.49246 | −0.746229 | − | 0.665690i | \(-0.768137\pi\) | ||||
−0.746229 | + | 0.665690i | \(0.768137\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 29.5078 | 2.48501 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −8.60627 | + | 8.60627i | −0.719693 | + | 0.719693i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.900960 | − | 1.28422i | 0.0748206 | − | 0.106649i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −8.56574 | − | 15.9689i | −0.706490 | − | 1.31709i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 18.8062i | 1.54067i | 0.637641 | + | 0.770334i | \(0.279910\pi\) | ||||
−0.637641 | + | 0.770334i | \(0.720090\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.29844 | −0.593938 | −0.296969 | − | 0.954887i | \(-0.595976\pi\) | ||||
−0.296969 | + | 0.954887i | \(0.595976\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.73147 | + | 2.73147i | −0.220827 | + | 0.220827i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 11.2984 | − | 16.1047i | 0.907512 | − | 1.29356i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.25161 | + | 8.25161i | 0.658550 | + | 0.658550i | 0.955037 | − | 0.296487i | \(-0.0958151\pi\) |
−0.296487 | + | 0.955037i | \(0.595815\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 18.3051 | 1.45169 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −13.7016 | − | 2.02214i | −1.07983 | − | 0.159367i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.70156 | + | 3.70156i | 0.289929 | + | 0.289929i | 0.837052 | − | 0.547123i | \(-0.184277\pi\) |
−0.547123 | + | 0.837052i | \(0.684277\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −26.8062 | + | 4.70156i | −2.08686 | + | 0.366016i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.30636 | + | 3.30636i | 0.255854 | + | 0.255854i | 0.823365 | − | 0.567511i | \(-0.192094\pi\) |
−0.567511 | + | 0.823365i | \(0.692094\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.29844i | 0.484495i | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 17.5958i | 1.34559i | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 6.58413 | − | 6.58413i | 0.500582 | − | 0.500582i | −0.411037 | − | 0.911619i | \(-0.634833\pi\) |
0.911619 | + | 0.411037i | \(0.134833\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.0313 | − | 7.30134i | −0.833891 | − | 0.551929i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 8.70156 | − | 8.70156i | 0.654049 | − | 0.654049i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 8.80625i | 0.658210i | 0.944293 | + | 0.329105i | \(0.106747\pi\) | ||||
−0.944293 | + | 0.329105i | \(0.893253\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 14.2609i | − | 1.06000i | −0.847997 | − | 0.530000i | \(-0.822192\pi\) | ||
0.847997 | − | 0.530000i | \(-0.177808\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −17.4031 | − | 17.4031i | −1.28648 | − | 1.28648i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −11.5294 | + | 2.02214i | −0.847657 | + | 0.148671i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.46940 | + | 3.46940i | 0.253708 | + | 0.253708i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.75362 | + | 0.701562i | 0.345775 | + | 0.0510311i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −2.10469 | −0.152290 | −0.0761449 | − | 0.997097i | \(-0.524261\pi\) | ||||
−0.0761449 | + | 0.997097i | \(0.524261\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.10469 | − | 1.10469i | −0.0795171 | − | 0.0795171i | 0.666230 | − | 0.745747i | \(-0.267907\pi\) |
−0.745747 | + | 0.666230i | \(0.767907\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 8.60627 | − | 12.2673i | 0.616308 | − | 0.878480i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.40312 | − | 2.40312i | 0.171216 | − | 0.171216i | −0.616298 | − | 0.787513i | \(-0.711368\pi\) |
0.787513 | + | 0.616298i | \(0.211368\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 22.3494 | 1.58431 | 0.792154 | − | 0.610321i | \(-0.208959\pi\) | ||||
0.792154 | + | 0.610321i | \(0.208959\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 18.3051i | − | 1.29114i | ||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.10681 | + | 1.49007i | 0.0776827 | + | 0.104582i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.10469 | + | 8.70156i | −0.426370 | + | 0.607743i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 13.7016 | − | 13.7016i | 0.952324 | − | 0.952324i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 22.3494 | 1.54594 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.7016 | 0.874412 | 0.437206 | − | 0.899361i | \(-0.355968\pi\) | ||||
0.437206 | + | 0.899361i | \(0.355968\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −9.89049 | + | 9.89049i | −0.677685 | + | 0.677685i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.73147 | − | 15.5737i | −0.186285 | − | 1.06212i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 13.8799 | + | 18.6861i | 0.942227 | + | 1.26850i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | − | 11.4031i | − | 0.770552i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.70156 | −0.181727 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −15.7653 | + | 15.7653i | −1.05572 | + | 1.05572i | −0.0573692 | + | 0.998353i | \(0.518271\pi\) |
−0.998353 | + | 0.0573692i | \(0.981729\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 17.4031 | − | 6.29844i | 1.16021 | − | 0.419896i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −6.20087 | − | 6.20087i | −0.411566 | − | 0.411566i | 0.470718 | − | 0.882284i | \(-0.343995\pi\) |
−0.882284 | + | 0.470718i | \(0.843995\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.709330 | 0.0468738 | 0.0234369 | − | 0.999725i | \(-0.492539\pi\) | ||||
0.0234369 | + | 0.999725i | \(0.492539\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.70156 | − | 31.8567i | 0.309340 | − | 2.09601i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.1047 | + | 11.1047i | 0.727492 | + | 0.727492i | 0.970120 | − | 0.242627i | \(-0.0780092\pi\) |
−0.242627 | + | 0.970120i | \(0.578009\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.40312 | + | 25.1047i | 0.287228 | + | 1.63765i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 12.2673 | + | 12.2673i | 0.796847 | + | 0.796847i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 24.1047i | 1.55920i | 0.626276 | + | 0.779601i | \(0.284578\pi\) | ||||
−0.626276 | + | 0.779601i | \(0.715422\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 27.1030i | 1.74586i | 0.487845 | + | 0.872930i | \(0.337783\pi\) | ||||
−0.487845 | + | 0.872930i | \(0.662217\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.5737 | − | 15.5737i | 0.999051 | − | 0.999051i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 12.3078 | − | 9.67043i | 0.786319 | − | 0.617821i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.70156 | + | 8.70156i | −0.553667 | + | 0.553667i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | − | 28.8062i | − | 1.82552i | ||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 4.04429i | − | 0.255273i | −0.991821 | − | 0.127637i | \(-0.959261\pi\) | ||
0.991821 | − | 0.127637i | \(-0.0407391\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −17.4031 | − | 17.4031i | −1.09413 | − | 1.09413i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.94525 | − | 3.46940i | −0.309683 | − | 0.217262i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −9.34420 | − | 9.34420i | −0.582875 | − | 0.582875i | 0.352817 | − | 0.935692i | \(-0.385224\pi\) |
−0.935692 | + | 0.352817i | \(0.885224\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.02214 | − | 13.7016i | 0.125650 | − | 0.851374i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.59688 | −0.160743 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 12.4031 | + | 12.4031i | 0.764809 | + | 0.764809i | 0.977188 | − | 0.212378i | \(-0.0681209\pi\) |
−0.212378 | + | 0.977188i | \(0.568121\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.73147 | + | 15.5737i | 0.167793 | + | 0.956683i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −24.8062 | + | 24.8062i | −1.51812 | + | 1.51812i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −13.5515 | −0.826251 | −0.413125 | − | 0.910674i | \(-0.635563\pi\) | ||||
−0.413125 | + | 0.910674i | \(0.635563\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.0588i | 1.40072i | 0.713790 | + | 0.700360i | \(0.246977\pi\) | ||||
−0.713790 | + | 0.700360i | \(0.753023\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 10.5726 | + | 14.2336i | 0.639883 | + | 0.861459i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −8.00000 | − | 22.1047i | −0.482418 | − | 1.33296i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.1047 | − | 11.1047i | 0.667216 | − | 0.667216i | −0.289855 | − | 0.957071i | \(-0.593607\pi\) |
0.957071 | + | 0.289855i | \(0.0936070\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −32.5660 | −1.94967 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −26.9109 | −1.60537 | −0.802686 | − | 0.596402i | \(-0.796596\pi\) | ||||
−0.802686 | + | 0.596402i | \(0.796596\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.67672 | + | 7.67672i | −0.456334 | + | 0.456334i | −0.897450 | − | 0.441116i | \(-0.854583\pi\) |
0.441116 | + | 0.897450i | \(0.354583\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −27.1030 | + | 4.75362i | −1.60545 | + | 0.281580i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −7.49947 | − | 10.0963i | −0.442680 | − | 0.595968i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 15.9109i | − | 0.935937i | ||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −20.1047 | −1.17856 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −7.67672 | + | 7.67672i | −0.448479 | + | 0.448479i | −0.894849 | − | 0.446370i | \(-0.852717\pi\) |
0.446370 | + | 0.894849i | \(0.352717\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.70156 | + | 6.10469i | 0.506625 | + | 0.355429i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 6.03784 | + | 6.03784i | 0.350351 | + | 0.350351i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 13.5515 | 0.783705 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 18.5078 | + | 2.73147i | 1.06677 | + | 0.157440i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −8.70156 | − | 8.70156i | −0.499892 | − | 0.499892i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 12.2094 | − | 17.4031i | 0.699107 | − | 0.996500i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.53583 | − | 9.53583i | −0.544239 | − | 0.544239i | 0.380530 | − | 0.924769i | \(-0.375742\pi\) |
−0.924769 | + | 0.380530i | \(0.875742\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.7016i | 0.608791i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − | 8.79790i | − | 0.498883i | −0.968390 | − | 0.249442i | \(-0.919753\pi\) | ||
0.968390 | − | 0.249442i | \(-0.0802471\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.3377 | − | 11.3377i | 0.640847 | − | 0.640847i | −0.309916 | − | 0.950764i | \(-0.600301\pi\) |
0.950764 | + | 0.309916i | \(0.100301\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.593326 | + | 21.8907i | 0.0334302 | + | 1.23340i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −12.4031 | + | 12.4031i | −0.696629 | + | 0.696629i | −0.963682 | − | 0.267053i | \(-0.913950\pi\) |
0.267053 | + | 0.963682i | \(0.413950\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.29844i | 0.184677i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 8.79790i | − | 0.491051i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.50781 | + | 3.50781i | 0.195180 | + | 0.195180i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 11.7210 | + | 5.49154i | 0.650165 | + | 0.304616i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −6.03784 | − | 6.03784i | −0.333893 | − | 0.333893i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −29.8345 | − | 4.40312i | −1.64483 | − | 0.242752i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.40312 | 0.516842 | 0.258421 | − | 0.966032i | \(-0.416798\pi\) | ||||
0.258421 | + | 0.966032i | \(0.416798\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 13.7016 | + | 13.7016i | 0.750841 | + | 0.750841i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 15.5737 | − | 2.73147i | 0.850880 | − | 0.149236i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −21.1047 | + | 21.1047i | −1.14965 | + | 1.14965i | −0.163023 | + | 0.986622i | \(0.552125\pi\) |
−0.986622 | + | 0.163023i | \(0.947875\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −23.0588 | −1.25238 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 41.3639i | 2.23998i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.27772 | + | 17.4238i | 0.338965 | + | 0.940799i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 24.8062 | + | 17.4031i | 1.33552 | + | 0.936953i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 13.7016 | − | 13.7016i | 0.735538 | − | 0.735538i | −0.236173 | − | 0.971711i | \(-0.575893\pi\) |
0.971711 | + | 0.236173i | \(0.0758931\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.79790 | −0.470941 | −0.235471 | − | 0.971881i | \(-0.575663\pi\) | ||||
−0.235471 | + | 0.971881i | \(0.575663\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.70156 | −0.250951 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 16.0914 | − | 16.0914i | 0.856457 | − | 0.856457i | −0.134462 | − | 0.990919i | \(-0.542931\pi\) |
0.990919 | + | 0.134462i | \(0.0429306\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.89049 | − | 6.93880i | −0.524933 | − | 0.368273i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 5.73792 | − | 4.26208i | 0.303683 | − | 0.225573i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 6.00000i | − | 0.316668i | −0.987386 | − | 0.158334i | \(-0.949388\pi\) | ||
0.987386 | − | 0.158334i | \(-0.0506123\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.59688 | 0.189309 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 20.3273 | − | 20.3273i | 1.06691 | − | 1.06691i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 9.70156 | − | 1.70156i | 0.507803 | − | 0.0890638i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.0285948 | − | 0.0285948i | −0.00149264 | − | 0.00149264i | 0.706360 | − | 0.707853i | \(-0.250336\pi\) |
−0.707853 | + | 0.706360i | \(0.750336\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 17.5958 | 0.916001 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −18.5078 | − | 2.73147i | −0.960878 | − | 0.141811i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.29844 | − | 6.29844i | −0.326121 | − | 0.326121i | 0.524989 | − | 0.851109i | \(-0.324070\pi\) |
−0.851109 | + | 0.524989i | \(0.824070\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 14.4031 | + | 25.1047i | 0.743774 | + | 1.29640i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −1.28422 | − | 1.28422i | −0.0661407 | − | 0.0661407i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 33.0156i | − | 1.69590i | −0.530077 | − | 0.847949i | \(-0.677837\pi\) | ||
0.530077 | − | 0.847949i | \(-0.322163\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 8.79790i | − | 0.450730i | ||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 7.86835 | − | 7.86835i | 0.402054 | − | 0.402054i | −0.476902 | − | 0.878956i | \(-0.658240\pi\) |
0.878956 | + | 0.476902i | \(0.158240\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 27.8046 | − | 0.753617i | 1.41705 | − | 0.0384079i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −18.5078 | + | 18.5078i | −0.940805 | + | 0.940805i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − | 20.7016i | − | 1.04961i | −0.851222 | − | 0.524805i | \(-0.824138\pi\) | ||
0.851222 | − | 0.524805i | \(-0.175862\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 5.46295i | − | 0.276273i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −7.40312 | − | 7.40312i | −0.373438 | − | 0.373438i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −8.60627 | + | 12.2673i | −0.433029 | + | 0.617235i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.2452 | − | 10.2452i | −0.514190 | − | 0.514190i | 0.401618 | − | 0.915807i | \(-0.368448\pi\) |
−0.915807 | + | 0.401618i | \(0.868448\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.75362 | − | 32.2094i | 0.237979 | − | 1.61249i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −24.3141 | −1.21419 | −0.607093 | − | 0.794631i | \(-0.707664\pi\) | ||||
−0.607093 | + | 0.794631i | \(0.707664\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.1047 | − | 16.1047i | −0.802232 | − | 0.802232i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 11.7210 | + | 8.22302i | 0.582422 | + | 0.408605i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 17.4031 | − | 17.4031i | 0.862641 | − | 0.862641i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 35.9009 | 1.77519 | 0.887594 | − | 0.460627i | \(-0.152375\pi\) | ||||
0.887594 | + | 0.460627i | \(0.152375\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 13.5515i | 0.668447i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −10.0963 | + | 7.49947i | −0.496809 | + | 0.369025i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 24.5078 | − | 4.29844i | 1.20304 | − | 0.211002i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −32.2094 | + | 32.2094i | −1.57730 | + | 1.57730i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 4.75362 | 0.232229 | 0.116115 | − | 0.993236i | \(-0.462956\pi\) | ||||
0.116115 | + | 0.993236i | \(0.462956\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.29844 | 0.258230 | 0.129115 | − | 0.991630i | \(-0.458786\pi\) | ||||
0.129115 | + | 0.991630i | \(0.458786\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 29.8345 | − | 29.8345i | 1.45060 | − | 1.45060i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 2.21377 | − | 4.72502i | 0.107384 | − | 0.229197i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.9989 | + | 20.1927i | 0.725849 | + | 0.977193i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 31.5078i | 1.52121i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −7.29844 | −0.351553 | −0.175777 | − | 0.984430i | \(-0.556244\pi\) | ||||
−0.175777 | + | 0.984430i | \(0.556244\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.72746 | + | 9.72746i | −0.467472 | + | 0.467472i | −0.901095 | − | 0.433623i | \(-0.857235\pi\) |
0.433623 | + | 0.901095i | \(0.357235\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.701562 | − | 4.00000i | −0.0336373 | − | 0.191785i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −17.5958 | − | 17.5958i | −0.841722 | − | 0.841722i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −19.0145 | −0.907511 | −0.453756 | − | 0.891126i | \(-0.649916\pi\) | ||||
−0.453756 | + | 0.891126i | \(0.649916\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −24.8062 | − | 7.48509i | −1.18125 | − | 0.356433i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0.193752 | + | 0.193752i | 0.00920541 | + | 0.00920541i | 0.711695 | − | 0.702489i | \(-0.247928\pi\) |
−0.702489 | + | 0.711695i | \(0.747928\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −24.8062 | − | 17.4031i | −1.17593 | − | 0.824987i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 34.4251 | + | 34.4251i | 1.62825 | + | 1.62825i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 0.701562i | − | 0.0331088i | −0.999863 | − | 0.0165544i | \(-0.994730\pi\) | ||
0.999863 | − | 0.0165544i | \(-0.00526966\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 22.3494i | − | 1.05239i | ||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −13.3599 | + | 13.3599i | −0.627702 | + | 0.627702i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −10.5321 | + | 11.1189i | −0.493751 | + | 0.521262i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 22.4031 | − | 22.4031i | 1.04797 | − | 1.04797i | 0.0491842 | − | 0.998790i | \(-0.484338\pi\) |
0.998790 | − | 0.0491842i | \(-0.0156621\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.89531i | 0.0884657i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 17.5958i | − | 0.819519i | −0.912194 | − | 0.409759i | \(-0.865613\pi\) | ||
0.912194 | − | 0.409759i | \(-0.134387\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.1047 | + | 21.1047i | 0.980818 | + | 0.980818i | 0.999819 | − | 0.0190015i | \(-0.00604873\pi\) |
−0.0190015 | + | 0.999819i | \(0.506049\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −8.79790 | − | 50.1618i | −0.407993 | − | 2.32620i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 8.05998 | + | 8.05998i | 0.372971 | + | 0.372971i | 0.868558 | − | 0.495587i | \(-0.165047\pi\) |
−0.495587 | + | 0.868558i | \(0.665047\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.73147 | + | 18.5078i | −0.126128 | + | 0.854611i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 30.2094 | 1.39197 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 23.5078 | + | 23.5078i | 1.08089 | + | 1.08089i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.08857 | − | 22.3494i | −0.371129 | − | 1.02546i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 18.5078 | − | 18.5078i | 0.847414 | − | 0.847414i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 28.5217 | 1.30319 | 0.651595 | − | 0.758567i | \(-0.274100\pi\) | ||||
0.651595 | + | 0.758567i | \(0.274100\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 13.5515i | 0.617896i | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −28.7825 | + | 21.3793i | −1.30965 | + | 0.972794i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.00000 | − | 17.1047i | −0.136223 | − | 0.776684i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.9109 | + | 15.9109i | −0.720993 | + | 0.720993i | −0.968808 | − | 0.247814i | \(-0.920288\pi\) |
0.247814 | + | 0.968808i | \(0.420288\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 13.5515 | 0.612821 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 24.9109 | 1.12421 | 0.562107 | − | 0.827064i | \(-0.309991\pi\) | ||||
0.562107 | + | 0.827064i | \(0.309991\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.517700 | + | 0.517700i | −0.0233160 | + | 0.0233160i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −22.3494 | + | 31.8567i | −1.00453 | + | 1.43185i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 11.4758 | − | 8.52415i | 0.514762 | − | 0.382360i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.10469i | 0.183751i | 0.995771 | + | 0.0918755i | \(0.0292862\pi\) | ||||
−0.995771 | + | 0.0918755i | \(0.970714\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.1047 | 0.540798 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −17.1840 | + | 17.1840i | −0.766195 | + | 0.766195i | −0.977434 | − | 0.211240i | \(-0.932250\pi\) |
0.211240 | + | 0.977434i | \(0.432250\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.10469 | − | 8.70156i | 0.271655 | − | 0.387214i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 11.5294 | + | 11.5294i | 0.512038 | + | 0.512038i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 13.5515 | 0.600661 | 0.300330 | − | 0.953835i | \(-0.402903\pi\) | ||||
0.300330 | + | 0.953835i | \(0.402903\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.70156 | + | 11.5294i | −0.0752727 | + | 0.510030i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 6.10469 | + | 6.10469i | 0.269528 | + | 0.269528i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −9.10469 | + | 1.59688i | −0.401200 | + | 0.0703668i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −37.8945 | − | 37.8945i | −1.66660 | − | 1.66660i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 24.1047i | − | 1.05808i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 3.33496i | − | 0.146107i | −0.997328 | − | 0.0730536i | \(-0.976726\pi\) | ||
0.997328 | − | 0.0730536i | \(-0.0232744\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.4811 | + | 14.4811i | −0.633213 | + | 0.633213i | −0.948873 | − | 0.315659i | \(-0.897774\pi\) |
0.315659 | + | 0.948873i | \(0.397774\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −33.5582 | + | 6.82782i | −1.46460 | + | 0.297990i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −6.49219 | + | 6.49219i | −0.282804 | + | 0.282804i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.40312i | 0.191440i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 17.5958i | − | 0.763593i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 8.70156 | + | 8.70156i | 0.376906 | + | 0.376906i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.48509 | − | 1.31281i | 0.323609 | − | 0.0567579i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 16.1200 | + | 16.1200i | 0.695628 | + | 0.695628i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −9.50723 | + | 31.5078i | −0.409506 | + | 1.35714i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −32.1047 | −1.38029 | −0.690144 | − | 0.723672i | \(-0.742453\pi\) | ||||
−0.690144 | + | 0.723672i | \(0.742453\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −26.1047 | − | 26.1047i | −1.12026 | − | 1.12026i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 4.23592 | − | 6.03784i | 0.181447 | − | 0.258632i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.70156 | + | 3.70156i | −0.158267 | + | 0.158267i | −0.781799 | − | 0.623531i | \(-0.785697\pi\) |
0.623531 | + | 0.781799i | \(0.285697\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −35.1916 | −1.50194 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.33496i | 0.142074i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −10.5726 | − | 14.2336i | −0.449593 | − | 0.605276i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −17.4031 | + | 24.8062i | −0.738721 | + | 1.05297i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −8.89531 | + | 8.89531i | −0.376907 | + | 0.376907i | −0.869985 | − | 0.493078i | \(-0.835872\pi\) |
0.493078 | + | 0.869985i | \(0.335872\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −18.3051 | −0.774225 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.7016 | 0.536260 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −19.2347 | + | 19.2347i | −0.810646 | + | 0.810646i | −0.984731 | − | 0.174085i | \(-0.944303\pi\) |
0.174085 | + | 0.984731i | \(0.444303\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.44080 | − | 19.6180i | −0.144756 | − | 0.825333i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −13.5998 | + | 10.1018i | −0.571137 | + | 0.424235i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | − | 30.8062i | − | 1.29147i | −0.763564 | − | 0.645733i | \(-0.776552\pi\) | ||
0.763564 | − | 0.645733i | \(-0.223448\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.20937 | 0.176157 | 0.0880784 | − | 0.996114i | \(-0.471927\pi\) | ||||
0.0880784 | + | 0.996114i | \(0.471927\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.85266 | + | 3.85266i | −0.160947 | + | 0.160947i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −11.1047 | + | 23.7016i | −0.463097 | + | 0.988423i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.2452 | − | 10.2452i | −0.426512 | − | 0.426512i | 0.460927 | − | 0.887438i | \(-0.347517\pi\) |
−0.887438 | + | 0.460927i | \(0.847517\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −4.04429 | −0.168075 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −4.29844 | + | 29.1252i | −0.178329 | + | 1.20832i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −23.5078 | − | 23.5078i | −0.973594 | − | 0.973594i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.70156 | − | 21.1047i | −0.153041 | − | 0.872571i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 18.4682 | + | 18.4682i | 0.762263 | + | 0.762263i | 0.976731 | − | 0.214468i | \(-0.0688017\pi\) |
−0.214468 | + | 0.976731i | \(0.568802\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 41.8219i | 1.72324i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 8.79790i | − | 0.361897i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −12.4303 | + | 12.4303i | −0.510453 | + | 0.510453i | −0.914665 | − | 0.404212i | \(-0.867546\pi\) |
0.404212 | + | 0.914665i | \(0.367546\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.48230 | + | 4.24574i | 0.183756 | + | 0.174058i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 40.9109 | − | 40.9109i | 1.67437 | − | 1.67437i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 6.70156i | 0.273818i | 0.990584 | + | 0.136909i | \(0.0437169\pi\) | ||||
−0.990584 | + | 0.136909i | \(0.956283\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 4.75362i | − | 0.193904i | −0.995289 | − | 0.0969520i | \(-0.969091\pi\) | ||
0.995289 | − | 0.0969520i | \(-0.0309093\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −18.5078 | − | 18.5078i | −0.753696 | − | 0.753696i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 20.3273 | + | 14.2609i | 0.826422 | + | 0.579786i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −1.44725 | − | 1.44725i | −0.0587422 | − | 0.0587422i | 0.677125 | − | 0.735868i | \(-0.263225\pi\) |
−0.735868 | + | 0.677125i | \(0.763225\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.75362 | + | 0.701562i | 0.192626 | + | 0.0284287i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 29.5078 | 1.19376 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 19.8062 | + | 19.8062i | 0.799967 | + | 0.799967i | 0.983090 | − | 0.183123i | \(-0.0586207\pi\) |
−0.183123 | + | 0.983090i | \(0.558621\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.75362 | + | 27.1030i | 0.191684 | + | 1.09290i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.10469 | + | 1.10469i | −0.0444730 | + | 0.0444730i | −0.728994 | − | 0.684521i | \(-0.760012\pi\) |
0.684521 | + | 0.728994i | \(0.260012\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 27.1030 | 1.08936 | 0.544682 | − | 0.838643i | \(-0.316650\pi\) | ||||
0.544682 | + | 0.838643i | \(0.316650\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | − | 9.50723i | − | 0.381512i | ||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 28.7825 | − | 21.3793i | 1.15314 | − | 0.856545i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.2094 | + | 16.0000i | −0.768375 | + | 0.640000i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 40.9109 | − | 40.9109i | 1.63383 | − | 1.63383i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 5.46295 | 0.217822 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.29844 | −0.290546 | −0.145273 | − | 0.989392i | \(-0.546406\pi\) | ||||
−0.145273 | + | 0.989392i | \(0.546406\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 23.2504 | − | 23.2504i | 0.924120 | − | 0.924120i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 7.48509 | − | 1.31281i | 0.297037 | − | 0.0520974i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.56574 | − | 15.9689i | −0.339387 | − | 0.632709i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 20.0000i | 0.791188i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 9.79063 | 0.386707 | 0.193353 | − | 0.981129i | \(-0.438064\pi\) | ||||
0.193353 | + | 0.981129i | \(0.438064\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 24.1799 | − | 24.1799i | 0.953564 | − | 0.953564i | −0.0454049 | − | 0.998969i | \(-0.514458\pi\) |
0.998969 | + | 0.0454049i | \(0.0144578\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −33.5078 | − | 23.5078i | −1.31937 | − | 0.925619i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −32.4030 | − | 32.4030i | −1.27389 | − | 1.27389i | −0.944029 | − | 0.329863i | \(-0.892998\pi\) |
−0.329863 | − | 0.944029i | \(-0.607002\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −22.3494 | −0.877292 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 59.6125 | + | 8.79790i | 2.33640 | + | 0.344817i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 5.00000 | + | 5.00000i | 0.195665 | + | 0.195665i | 0.798139 | − | 0.602474i | \(-0.205818\pi\) |
−0.602474 | + | 0.798139i | \(0.705818\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.19375 | − | 7.40312i | 0.202937 | − | 0.289264i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −11.5294 | − | 11.5294i | −0.449804 | − | 0.449804i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 38.9109i | 1.51575i | 0.652397 | + | 0.757877i | \(0.273764\pi\) | ||||
−0.652397 | + | 0.757877i | \(0.726236\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 19.0145i | − | 0.739577i | −0.929116 | − | 0.369789i | \(-0.879430\pi\) | ||
0.929116 | − | 0.369789i | \(-0.120570\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −4.94525 | + | 4.94525i | −0.192057 | + | 0.192057i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 28.1125 | − | 0.761961i | 1.09015 | − | 0.0295476i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.59688 | − | 2.59688i | 0.100551 | − | 0.100551i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 57.7172i | 2.23148i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 44.6989i | 1.72558i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.7016 | + | 13.7016i | 0.528156 | + | 0.528156i | 0.920022 | − | 0.391866i | \(-0.128170\pi\) |
−0.391866 | + | 0.920022i | \(0.628170\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.85266 | − | 8.22302i | 0.148289 | − | 0.316504i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 12.1043 | + | 12.1043i | 0.465205 | + | 0.465205i | 0.900357 | − | 0.435152i | \(-0.143305\pi\) |
−0.435152 | + | 0.900357i | \(0.643305\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 20.3273 | + | 3.00000i | 0.780090 | + | 0.115129i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −22.7016 | −0.869926 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −28.5078 | − | 28.5078i | −1.09082 | − | 1.09082i | −0.995441 | − | 0.0953801i | \(-0.969593\pi\) |
−0.0953801 | − | 0.995441i | \(-0.530407\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −11.5294 | + | 2.02214i | −0.440515 | + | 0.0772621i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1.29844 | − | 1.29844i | 0.0495385 | − | 0.0495385i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 18.3051 | 0.697370 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 32.5660i | − | 1.23887i | −0.785048 | − | 0.619434i | \(-0.787362\pi\) | ||
0.785048 | − | 0.619434i | \(-0.212638\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −27.4558 | − | 36.9630i | −1.04296 | − | 1.40411i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −32.2094 | − | 22.5969i | −1.22177 | − | 0.857148i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.50781 | − | 3.50781i | 0.132868 | − | 0.132868i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 40.6546 | 1.53770 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −34.7016 | −1.31066 | −0.655330 | − | 0.755343i | \(-0.727470\pi\) | ||||
−0.655330 | + | 0.755343i | \(0.727470\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 17.5958 | − | 17.5958i | 0.663639 | − | 0.663639i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 54.0145 | + | 37.8945i | 2.03430 | + | 1.42719i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 7.49947 | + | 10.0963i | 0.282046 | + | 0.379712i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.5078i | 0.432185i | 0.976373 | + | 0.216092i | \(0.0693313\pi\) | ||||
−0.976373 | + | 0.216092i | \(0.930669\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 24.8062 | 0.930307 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 32.5660 | − | 32.5660i | 1.21961 | − | 1.21961i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −26.8062 | + | 4.70156i | −1.00250 | + | 0.175828i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 44.1240 | + | 44.1240i | 1.64784 | + | 1.64784i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −44.6989 | −1.66699 | −0.833493 | − | 0.552530i | \(-0.813662\pi\) | ||||
−0.833493 | + | 0.552530i | \(0.813662\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.59688 | − | 10.8200i | 0.0594708 | − | 0.402960i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 49.6125 | + | 49.6125i | 1.84511 | + | 1.84511i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.29844 | − | 1.19375i | 0.122501 | − | 0.0443348i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −19.5608 | − | 19.5608i | −0.725469 | − | 0.725469i | 0.244245 | − | 0.969714i | \(-0.421460\pi\) |
−0.969714 | + | 0.244245i | \(0.921460\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 37.8062i | − | 1.40023i | ||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.37925i | 0.272931i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 19.4263 | − | 19.4263i | 0.717528 | − | 0.717528i | −0.250571 | − | 0.968098i | \(-0.580618\pi\) |
0.968098 | + | 0.250571i | \(0.0806183\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 4.82782 | − | 40.2315i | 0.178077 | − | 1.48396i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −23.5078 | + | 23.5078i | −0.865921 | + | 0.865921i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 25.5078i | − | 0.938320i | −0.883113 | − | 0.469160i | \(-0.844557\pi\) | ||
0.883113 | − | 0.469160i | \(-0.155443\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 31.8567i | 1.17028i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −32.0156 | − | 32.0156i | −1.17454 | − | 1.17454i | −0.981115 | − | 0.193424i | \(-0.938041\pi\) |
−0.193424 | − | 0.981115i | \(-0.561959\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −24.1513 | + | 34.4251i | −0.884837 | + | 1.26124i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −29.1252 | − | 29.1252i | −1.06563 | − | 1.06563i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.31281 | + | 8.89531i | −0.0479692 | + | 0.325028i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.10469 | −0.0768011 | −0.0384005 | − | 0.999262i | \(-0.512226\pi\) | ||||
−0.0384005 | + | 0.999262i | \(0.512226\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −7.40312 | − | 7.40312i | −0.269785 | − | 0.269785i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −13.3599 | − | 9.37279i | −0.486216 | − | 0.341111i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.29844 | + | 6.29844i | −0.228921 | + | 0.228921i | −0.812242 | − | 0.583321i | \(-0.801753\pi\) |
0.583321 | + | 0.812242i | \(0.301753\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −63.7133 | −2.31265 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 35.1916i | − | 1.27570i | −0.770163 | − | 0.637848i | \(-0.779825\pi\) | ||
0.770163 | − | 0.637848i | \(-0.220175\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.20373 | + | 7.00565i | 0.188388 | + | 0.253621i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −8.50781 | + | 1.49219i | −0.307601 | + | 0.0539502i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 8.70156 | − | 8.70156i | 0.314195 | − | 0.314195i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −26.3937 | −0.951782 | −0.475891 | − | 0.879504i | \(-0.657874\pi\) | ||||
−0.475891 | + | 0.879504i | \(0.657874\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −34.2094 | −1.23202 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −20.5189 | + | 20.5189i | −0.738014 | + | 0.738014i | −0.972193 | − | 0.234179i | \(-0.924760\pi\) |
0.234179 | + | 0.972193i | \(0.424760\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 41.3639 | − | 14.9702i | 1.48583 | − | 0.537745i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −21.3793 | − | 28.7825i | −0.766979 | − | 1.03257i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − | 22.5969i | − | 0.809617i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 25.4031 | 0.908995 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.900960 | + | 0.900960i | −0.0321977 | + | 0.0321977i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.50781 | + | 25.7016i | 0.160891 | + | 0.917328i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.30636 | + | 3.30636i | 0.117859 | + | 0.117859i | 0.763576 | − | 0.645717i | \(-0.223442\pi\) |
−0.645717 | + | 0.763576i | \(0.723442\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 45.4082 | 1.61657 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 23.3141 | + | 3.44080i | 0.828953 | + | 0.122341i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −17.4031 | − | 17.4031i | −0.618003 | − | 0.618003i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 33.5078 | + | 23.5078i | 1.18840 | + | 0.833736i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 16.8579 | + | 16.8579i | 0.597137 | + | 0.597137i | 0.939550 | − | 0.342413i | \(-0.111244\pi\) |
−0.342413 | + | 0.939550i | \(0.611244\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 11.8953i | − | 0.420826i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 50.1618i | 1.77238i | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −14.6441 | + | 14.6441i | −0.516779 | + | 0.516779i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −22.4840 | − | 21.2974i | −0.792458 | − | 0.750634i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −24.8062 | + | 24.8062i | −0.873221 | + | 0.873221i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 19.2984i | 0.678497i | 0.940697 | + | 0.339248i | \(0.110173\pi\) | ||||
−0.940697 | + | 0.339248i | \(0.889827\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 4.04429i | − | 0.142014i | −0.997476 | − | 0.0710071i | \(-0.977379\pi\) | ||
0.997476 | − | 0.0710071i | \(-0.0226213\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 42.2094 | + | 42.2094i | 1.48035 | + | 1.48035i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 2.02214 | + | 11.5294i | 0.0708326 | + | 0.403856i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 23.7681 | + | 23.7681i | 0.831540 | + | 0.831540i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 25.0809 | + | 3.70156i | 0.876398 | + | 0.129343i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 52.3141 | 1.82577 | 0.912887 | − | 0.408213i | \(-0.133848\pi\) | ||||
0.912887 | + | 0.408213i | \(0.133848\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.1938 | − | 10.1938i | −0.355332 | − | 0.355332i | 0.506757 | − | 0.862089i | \(-0.330844\pi\) |
−0.862089 | + | 0.506757i | \(0.830844\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −55.1070 | − | 25.8188i | −1.91858 | − | 0.898896i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 31.1047 | − | 31.1047i | 1.08162 | − | 1.08162i | 0.0852569 | − | 0.996359i | \(-0.472829\pi\) |
0.996359 | − | 0.0852569i | \(-0.0271711\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.2166 | −0.354836 | −0.177418 | − | 0.984136i | \(-0.556774\pi\) | ||||
−0.177418 | + | 0.984136i | \(0.556774\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 40.6546i | − | 1.41029i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −6.43744 | + | 3.45306i | −0.223044 | + | 0.119641i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.80625 | + | 10.2984i | 0.0625078 | + | 0.356392i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −11.2984 | + | 11.2984i | −0.390531 | + | 0.390531i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 35.1916 | 1.21495 | 0.607475 | − | 0.794339i | \(-0.292183\pi\) | ||||
0.607475 | + | 0.794339i | \(0.292183\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 28.5078 | 0.983028 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −49.2608 | + | 49.2608i | −1.69663 | + | 1.69663i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −8.08857 | + | 11.5294i | −0.278255 | + | 0.396623i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −23.5856 | + | 17.5191i | −0.810409 | + | 0.601964i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 28.1047i | 0.964550i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −27.4031 | −0.939367 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −23.9883 | + | 23.9883i | −0.821344 | + | 0.821344i | −0.986301 | − | 0.164957i | \(-0.947252\pi\) |
0.164957 | + | 0.986301i | \(0.447252\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −22.5969 | + | 32.2094i | −0.772797 | + | 1.10154i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 8.25161 | + | 8.25161i | 0.281870 | + | 0.281870i | 0.833854 | − | 0.551985i | \(-0.186129\pi\) |
−0.551985 | + | 0.833854i | \(0.686129\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −27.1030 | −0.924744 | −0.462372 | − | 0.886686i | \(-0.653002\pi\) | ||||
−0.462372 | + | 0.886686i | \(0.653002\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −32.2094 | − | 4.75362i | −1.09769 | − | 0.162003i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 12.4031 | + | 12.4031i | 0.422207 | + | 0.422207i | 0.885963 | − | 0.463756i | \(-0.153498\pi\) |
−0.463756 | + | 0.885963i | \(0.653498\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 20.5078 | − | 3.59688i | 0.697286 | − | 0.122297i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −29.1252 | − | 29.1252i | −0.989143 | − | 0.989143i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 31.5078i | − | 1.06883i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 18.3051i | − | 0.620246i | ||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −20.3273 | + | 20.3273i | −0.687974 | + | 0.687974i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −10.8165 | − | 27.5319i | −0.365664 | − | 0.930747i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 39.8062 | − | 39.8062i | 1.34416 | − | 1.34416i | 0.452291 | − | 0.891870i | \(-0.350607\pi\) |
0.891870 | − | 0.452291i | \(-0.149393\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 28.1047i | 0.947948i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 27.1030i | 0.913125i | 0.889691 | + | 0.456562i | \(0.150919\pi\) | ||||
−0.889691 | + | 0.456562i | \(0.849081\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 23.7016 | + | 23.7016i | 0.797621 | + | 0.797621i | 0.982720 | − | 0.185099i | \(-0.0592605\pi\) |
−0.185099 | + | 0.982720i | \(0.559261\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 27.1030 | − | 4.75362i | 0.911059 | − | 0.159791i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 0.872365 | + | 0.872365i | 0.0292911 | + | 0.0292911i | 0.721601 | − | 0.692310i | \(-0.243407\pi\) |
−0.692310 | + | 0.721601i | \(0.743407\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.31281 | + | 8.89531i | −0.0440304 | + | 0.298339i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −30.1047 | −1.00854 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −38.3141 | − | 38.3141i | −1.28213 | − | 1.28213i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −11.3092 | + | 16.1200i | −0.378023 | + | 0.538831i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 24.8062 | − | 24.8062i | 0.828257 | − | 0.828257i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −6.17228 | −0.205857 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 7.37925i | − | 0.245838i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 38.8788 | − | 28.8788i | 1.29381 | − | 0.961026i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 18.3141 | − | 26.1047i | 0.608780 | − | 0.867749i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.5078 | + | 18.5078i | −0.614542 | + | 0.614542i | −0.944126 | − | 0.329584i | \(-0.893091\pi\) |
0.329584 | + | 0.944126i | \(0.393091\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −17.5958 | −0.583616 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −10.5969 | −0.351090 | −0.175545 | − | 0.984471i | \(-0.556169\pi\) | ||||
−0.175545 | + | 0.984471i | \(0.556169\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −36.9935 | + | 36.9935i | −1.22431 | + | 1.22431i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −9.50723 | − | 54.2061i | −0.314299 | − | 1.79200i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.38040 | + | 8.58978i | 0.210700 | + | 0.283659i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 22.9109i | − | 0.755762i | −0.925854 | − | 0.377881i | \(-0.876653\pi\) | ||
0.925854 | − | 0.377881i | \(-0.123347\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −34.9109 | −1.15035 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −9.89049 | + | 9.89049i | −0.325550 | + | 0.325550i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −23.7016 | − | 11.1047i | −0.779303 | − | 0.365120i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 10.8200 | + | 10.8200i | 0.355377 | + | 0.355377i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.12799 | −0.0698171 | −0.0349085 | − | 0.999391i | \(-0.511114\pi\) | ||||
−0.0349085 | + | 0.999391i | \(0.511114\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −9.61250 | + | 31.8567i | −0.315037 | + | 1.04406i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −16.1047 | − | 16.1047i | −0.527244 | − | 0.527244i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.89531 | + | 10.8062i | 0.0619834 | + | 0.353402i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 40.6260 | + | 40.6260i | 1.32719 | + | 1.32719i | 0.907809 | + | 0.419383i | \(0.137754\pi\) |
0.419383 | + | 0.907809i | \(0.362246\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 41.5078i | − | 1.35456i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 46.1175i | − | 1.50339i | −0.659512 | − | 0.751694i | \(-0.729237\pi\) | ||
0.659512 | − | 0.751694i | \(-0.270763\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −17.5958 | + | 17.5958i | −0.572998 | + | 0.572998i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 7.80060 | + | 7.38891i | 0.253754 | + | 0.240361i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −15.0000 | + | 15.0000i | −0.487435 | + | 0.487435i | −0.907496 | − | 0.420061i | \(-0.862009\pi\) |
0.420061 | + | 0.907496i | \(0.362009\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 11.4031i | − | 0.370161i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 45.4082i | 1.47246i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 39.8062 | + | 39.8062i | 1.28945 | + | 1.28945i | 0.935120 | + | 0.354331i | \(0.115291\pi\) |
0.354331 | + | 0.935120i | \(0.384709\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.85266 | − | 2.70288i | −0.124669 | − | 0.0874631i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 6.03784 | + | 6.03784i | 0.195176 | + | 0.195176i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.02214 | − | 13.7016i | 0.0652984 | − | 0.442447i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −46.4031 | −1.49687 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8.89531 | − | 8.89531i | −0.286647 | − | 0.286647i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −0.603484 | − | 3.44080i | −0.0194268 | − | 0.110763i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.0000 | − | 25.0000i | 0.803946 | − | 0.803946i | −0.179764 | − | 0.983710i | \(-0.557533\pi\) |
0.983710 | + | 0.179764i | \(0.0575334\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 12.8422 | 0.412551 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 54.9154i | − | 1.76232i | −0.472819 | − | 0.881160i | \(-0.656763\pi\) | ||
0.472819 | − | 0.881160i | \(-0.343237\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 37.3722 | − | 27.7597i | 1.19810 | − | 0.889936i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 31.5078 | − | 11.4031i | 1.00906 | − | 0.365192i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −32.4031 | + | 32.4031i | −1.03667 | + | 1.03667i | −0.0373661 | + | 0.999302i | \(0.511897\pi\) |
−0.999302 | + | 0.0373661i | \(0.988103\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 63.7133 | 2.03629 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.2094 | −0.389815 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −12.4303 | + | 12.4303i | −0.396466 | + | 0.396466i | −0.876985 | − | 0.480518i | \(-0.840449\pi\) |
0.480518 | + | 0.876985i | \(0.340449\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.48509 | − | 1.31281i | 0.238495 | − | 0.0418297i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −62.6725 | + | 46.5525i | −1.99489 | + | 1.48178i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 37.0156i | − | 1.17703i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.6125 | −0.559479 | −0.279740 | − | 0.960076i | \(-0.590248\pi\) | ||||
−0.279740 | + | 0.960076i | \(0.590248\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 17.2125 | − | 17.2125i | 0.546224 | − | 0.546224i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 40.9109 | + | 28.7016i | 1.29696 | + | 0.909901i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.15658 | − | 2.15658i | −0.0682997 | − | 0.0682997i | 0.672132 | − | 0.740432i | \(-0.265379\pi\) |
−0.740432 | + | 0.672132i | \(0.765379\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 9.50723 | 0.300796 |
(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 | 140.2.m.a.13.4 | yes | 8 | |
3.2 | odd | 2 | 1260.2.ba.a.433.1 | 8 | |||
4.3 | odd | 2 | 560.2.bj.b.433.1 | 8 | |||
5.2 | odd | 4 | inner | 140.2.m.a.97.1 | yes | 8 | |
5.3 | odd | 4 | 700.2.m.c.657.4 | 8 | |||
5.4 | even | 2 | 700.2.m.c.293.1 | 8 | |||
7.2 | even | 3 | 980.2.v.b.913.4 | 16 | |||
7.3 | odd | 6 | 980.2.v.b.313.4 | 16 | |||
7.4 | even | 3 | 980.2.v.b.313.1 | 16 | |||
7.5 | odd | 6 | 980.2.v.b.913.1 | 16 | |||
7.6 | odd | 2 | inner | 140.2.m.a.13.1 | ✓ | 8 | |
15.2 | even | 4 | 1260.2.ba.a.937.4 | 8 | |||
20.7 | even | 4 | 560.2.bj.b.97.4 | 8 | |||
21.20 | even | 2 | 1260.2.ba.a.433.4 | 8 | |||
28.27 | even | 2 | 560.2.bj.b.433.4 | 8 | |||
35.2 | odd | 12 | 980.2.v.b.717.4 | 16 | |||
35.12 | even | 12 | 980.2.v.b.717.1 | 16 | |||
35.13 | even | 4 | 700.2.m.c.657.1 | 8 | |||
35.17 | even | 12 | 980.2.v.b.117.4 | 16 | |||
35.27 | even | 4 | inner | 140.2.m.a.97.4 | yes | 8 | |
35.32 | odd | 12 | 980.2.v.b.117.1 | 16 | |||
35.34 | odd | 2 | 700.2.m.c.293.4 | 8 | |||
105.62 | odd | 4 | 1260.2.ba.a.937.1 | 8 | |||
140.27 | odd | 4 | 560.2.bj.b.97.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
140.2.m.a.13.1 | ✓ | 8 | 7.6 | odd | 2 | inner | |
140.2.m.a.13.4 | yes | 8 | 1.1 | even | 1 | trivial | |
140.2.m.a.97.1 | yes | 8 | 5.2 | odd | 4 | inner | |
140.2.m.a.97.4 | yes | 8 | 35.27 | even | 4 | inner | |
560.2.bj.b.97.1 | 8 | 140.27 | odd | 4 | |||
560.2.bj.b.97.4 | 8 | 20.7 | even | 4 | |||
560.2.bj.b.433.1 | 8 | 4.3 | odd | 2 | |||
560.2.bj.b.433.4 | 8 | 28.27 | even | 2 | |||
700.2.m.c.293.1 | 8 | 5.4 | even | 2 | |||
700.2.m.c.293.4 | 8 | 35.34 | odd | 2 | |||
700.2.m.c.657.1 | 8 | 35.13 | even | 4 | |||
700.2.m.c.657.4 | 8 | 5.3 | odd | 4 | |||
980.2.v.b.117.1 | 16 | 35.32 | odd | 12 | |||
980.2.v.b.117.4 | 16 | 35.17 | even | 12 | |||
980.2.v.b.313.1 | 16 | 7.4 | even | 3 | |||
980.2.v.b.313.4 | 16 | 7.3 | odd | 6 | |||
980.2.v.b.717.1 | 16 | 35.12 | even | 12 | |||
980.2.v.b.717.4 | 16 | 35.2 | odd | 12 | |||
980.2.v.b.913.1 | 16 | 7.5 | odd | 6 | |||
980.2.v.b.913.4 | 16 | 7.2 | even | 3 | |||
1260.2.ba.a.433.1 | 8 | 3.2 | odd | 2 | |||
1260.2.ba.a.433.4 | 8 | 21.20 | even | 2 | |||
1260.2.ba.a.937.1 | 8 | 105.62 | odd | 4 | |||
1260.2.ba.a.937.4 | 8 | 15.2 | even | 4 |